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 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 7 7 6 6 6 5 5 6 6 6 6 7 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 6 6 6 7 7 8 8 7 7 7 7 7 8 8 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 12 12 9 4 3 6 8 9 12 14 14 12 9 4 0 -2 -4 -3 -2 0 3 5 7 10 13 16 19 21 19 16 13 10 9 8 7 7 7 7 7 7 6 6 5 5 5 5 6 8 11 13 14 15 17 20 23 23 19 15 12 12 12 11 10 8 9 12 16 19 18 15 14 12 11 10 10 9 9 9 9 8 8 8 7 7 6 6 7 8 8 8 8 8 6 nan
nan 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 8 8 8 7 7 8 9 9 9 8 8 7 6 6 6 5 6 6 7 6 6 6 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 10 6 3 4 7 8 9 10 11 10 6 2 -2 -4 -5 -4 -3 -1 2 4 6 8 10 13 16 19 20 19 16 13 10 8 7 7 8 8 8 7 7 6 6 5 5 4 4 6 9 12 15 17 18 19 21 20 18 15 12 11 11 11 12 12 13 16 20 22 21 18 14 12 10 9 9 8 8 8 9 9 9 8 8 8 7 7 7 7 8 8 8 8 7 6 nan
nan 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 7 8 8 7 6 7 7 9 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 8 9 9 9 10 10 10 10 10 11 11 10 8 5 3 3 6 7 6 6 6 4 0 -3 -5 -6 -5 -3 -1 2 4 6 7 9 10 13 15 17 18 18 16 13 11 9 7 7 8 8 8 7 7 6 6 5 5 5 6 8 11 14 17 18 17 16 16 15 13 12 11 10 10 10 10 12 15 19 21 20 18 14 12 10 8 6 6 6 6 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 7 7 8 8 8 8 7 7 8 9 10 11 12 11 10 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 7 7 7 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 9 7 5 3 3 4 4 3 1 -1 -3 -5 -6 -6 -5 -2 0 2 4 6 7 8 9 10 12 13 14 15 15 14 13 11 9 7 7 7 7 7 7 6 6 6 6 6 7 9 11 14 16 17 15 13 11 11 11 12 11 9 7 6 6 7 9 13 15 16 15 13 11 9 7 4 3 3 3 4 5 6 7 7 8 8 8 8 7 7 7 6 5 5 5 5 6 nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 7 7 7 8 8 9 9 9 8 9 9 10 11 12 12 11 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 11 11 12 12 11 10 9 8 7 6 5 4 4 3 3 2 -2 -5 -7 -7 -5 -3 -1 1 3 5 6 8 9 9 10 10 11 11 11 12 12 13 13 12 10 8 7 7 7 7 6 7 7 8 8 9 10 12 15 16 16 14 10 8 8 10 12 12 10 6 4 2 2 2 4 8 10 10 9 8 8 6 3 1 -0 0 1 3 4 5 5 5 6 7 8 8 8 7 7 6 5 5 5 6 7 nan
nan 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 7 7 8 8 8 9 9 9 9 10 10 9 9 10 10 10 10 9 8 8 8 9 9 9 8 8 8 9 10 10 10 10 10 10 11 11 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 10 10 10 9 9 10 10 11 12 12 13 13 12 10 8 7 6 5 5 6 6 7 7 7 3 -2 -4 -4 -1 1 3 4 6 7 8 9 10 10 10 10 10 11 11 11 12 13 13 13 11 9 7 7 7 6 7 7 8 10 11 12 13 15 16 15 13 10 7 8 10 13 15 12 8 4 2 1 0 1 4 7 8 6 6 7 6 4 1 -0 -1 0 2 3 3 3 3 3 3 5 6 6 7 7 7 7 6 5 6 7 7 nan
nan 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 7 6 6 6 6 7 8 8 8 9 10 11 12 12 12 11 10 10 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 12 13 14 14 13 12 10 8 6 5 4 6 9 10 12 13 12 9 5 3 3 4 5 5 6 7 8 9 10 11 11 11 11 12 13 13 13 13 13 13 13 11 9 8 7 7 7 8 9 10 12 13 14 15 16 15 13 11 8 9 13 16 17 15 10 6 4 3 4 4 7 9 9 8 7 7 7 5 3 1 1 1 2 2 1 1 -0 -1 -1 -1 1 2 4 5 7 7 7 7 6 6 7 7 nan
nan 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 9 11 12 12 12 11 10 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 12 13 14 15 15 13 11 9 7 5 3 3 6 10 12 13 13 13 12 10 8 7 7 7 7 8 8 9 11 12 12 11 12 13 15 17 17 16 15 14 13 13 12 10 9 7 7 8 9 11 12 13 15 16 16 15 14 12 11 12 15 18 19 17 13 9 7 7 8 10 12 14 14 11 9 8 8 7 4 2 1 1 1 1 -1 -3 -4 -5 -5 -5 -3 -1 1 2 4 6 7 7 7 6 6 6 5 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 7 6 6 6 6 5 5 6 6 5 5 5 5 5 6 6 5 5 5 5 7 8 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 12 13 14 15 16 16 15 13 10 8 7 4 2 2 4 6 7 7 8 9 10 11 10 9 9 9 8 8 9 10 12 12 12 12 13 16 19 21 21 19 16 15 14 13 12 11 9 8 8 9 11 12 13 15 16 16 16 15 13 13 14 17 19 19 18 15 13 12 12 13 13 14 16 15 12 9 8 8 7 4 2 1 1 1 1 -1 -4 -7 -7 -7 -7 -6 -2 2 3 3 4 6 7 7 7 6 4 4 3 nan
nan 9 10 10 9 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 5 4 5 5 6 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 13 14 15 16 17 18 17 15 12 9 7 6 4 2 1 1 2 3 4 6 9 11 11 11 10 9 8 8 8 10 11 12 12 11 12 15 19 23 24 22 19 16 15 14 13 12 11 10 10 10 11 12 14 15 16 17 17 16 14 14 14 16 17 17 15 13 13 15 17 18 18 16 15 13 9 6 5 6 6 5 2 0 -0 0 0 -1 -3 -5 -6 -5 -6 -6 -3 3 8 8 6 5 6 7 7 6 5 3 2 2 nan
nan 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 13 15 17 18 18 19 19 18 17 14 11 8 7 5 3 1 1 2 4 7 10 13 13 13 12 10 9 8 8 9 10 11 12 11 10 10 12 16 21 24 23 20 16 14 14 14 13 12 12 12 11 12 13 14 16 17 17 17 16 15 14 13 13 13 12 10 8 8 10 14 18 20 19 15 10 6 2 1 3 5 6 6 4 1 1 -0 -2 -3 -4 -3 -2 -1 -2 -3 1 7 11 11 8 6 6 6 6 5 4 3 1 1 nan
nan 11 11 12 12 11 11 11 11 11 10 10 10 10 10 11 11 11 10 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 5 5 5 5 6 6 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 16 18 20 20 20 20 19 17 14 12 9 8 6 4 2 0 1 4 8 14 18 19 16 13 10 8 7 8 9 11 12 13 12 10 9 9 12 16 21 23 21 17 14 12 13 13 13 12 12 12 13 14 15 16 17 17 17 16 15 13 13 12 10 7 5 3 3 4 8 13 16 17 14 9 3 -1 -3 -1 2 5 7 7 6 5 2 -0 -3 -4 -3 0 3 4 1 1 4 9 11 11 8 6 6 5 5 4 4 4 3 2 nan
nan 11 12 12 11 11 11 11 12 11 11 11 11 10 10 10 11 11 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 6 5 5 6 6 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 13 15 17 18 19 20 20 20 20 18 14 11 8 7 7 5 2 -0 -1 1 4 9 16 19 17 12 8 6 6 8 10 12 13 13 12 10 8 8 9 11 15 19 21 20 16 13 12 12 12 12 12 12 13 13 14 15 15 16 16 15 14 13 12 12 10 6 3 1 1 3 6 9 11 13 10 6 0 -4 -6 -4 -1 2 3 4 5 6 6 5 1 -3 -4 -1 3 5 5 4 4 6 8 9 8 6 5 5 5 4 4 4 5 5 3 nan
nan 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 9 8 8 7 7 8 8 9 9 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 14 16 18 19 20 20 19 19 19 18 15 10 7 5 5 6 5 1 -1 -1 1 5 9 11 11 8 5 5 8 11 12 13 13 12 10 8 7 7 9 10 11 13 16 19 19 17 14 12 12 12 11 12 12 13 13 13 13 13 13 13 13 12 12 13 12 10 7 4 5 7 9 11 10 9 7 4 -1 -5 -7 -6 -3 -1 -1 -1 -1 1 4 6 6 4 0 -1 2 4 6 6 6 6 7 7 6 4 4 4 5 5 4 3 4 5 6 5 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 14 15 17 18 19 21 22 21 19 18 16 14 10 6 3 3 4 6 5 2 -1 -1 2 6 7 5 2 1 4 10 15 19 18 14 11 8 6 6 6 8 10 11 11 12 14 16 18 18 15 13 12 11 10 11 11 12 12 12 12 12 12 12 12 13 14 13 12 11 9 9 11 14 14 12 9 6 3 -1 -4 -4 -3 -3 -3 -4 -5 -6 -4 -2 1 4 7 7 3 1 2 5 7 8 9 8 7 5 4 3 4 7 9 8 5 4 5 6 6 4 nan
nan 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 8 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 10 11 12 13 15 16 16 17 18 19 20 22 22 21 18 16 13 9 6 2 0 1 4 6 5 2 -0 0 2 4 4 1 -2 2 10 17 22 21 17 10 5 3 4 5 7 9 11 12 13 13 14 15 16 16 14 11 10 8 8 9 10 10 11 11 12 12 13 13 13 14 13 12 10 9 9 10 11 12 11 9 6 3 1 -1 -1 1 1 -0 -3 -6 -7 -7 -5 -3 -1 2 5 7 6 3 2 4 7 9 11 10 8 5 3 3 7 11 13 11 7 5 5 6 5 4 nan
nan 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 8 8 8 9 10 12 14 15 16 17 17 18 18 19 19 20 20 20 18 15 12 9 6 3 1 0 2 5 7 6 4 1 2 3 5 4 3 3 9 16 21 20 16 9 3 0 2 4 6 8 10 12 14 15 15 15 15 14 13 11 8 6 6 7 8 8 9 9 10 11 11 12 12 12 11 9 7 5 5 5 6 6 5 5 4 4 3 2 2 3 5 4 1 -3 -5 -5 -4 -3 -1 1 4 6 8 8 5 2 3 6 9 11 11 10 6 3 4 9 14 16 13 10 7 5 6 5 4 nan
nan 9 9 10 10 9 9 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 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 11 13 14 15 17 18 18 19 18 17 17 17 17 16 14 11 9 7 6 5 4 4 5 7 8 8 6 6 9 13 15 14 12 12 14 17 16 12 7 2 -0 0 2 5 7 9 11 14 16 18 18 17 15 13 11 8 6 5 5 7 8 8 7 7 8 8 8 8 8 7 5 4 3 3 2 3 2 1 0 1 3 4 4 4 5 6 6 5 2 -1 -2 -1 1 3 5 7 8 10 11 11 8 5 4 6 7 9 10 9 7 4 4 9 14 17 16 13 9 6 5 5 5 nan
nan 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 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 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 13 14 17 18 19 18 17 14 13 12 12 11 10 8 6 6 6 7 8 8 8 8 8 7 8 12 18 26 29 25 20 16 14 11 8 4 1 -0 0 2 5 7 9 11 14 17 19 19 18 17 15 12 10 8 6 6 7 8 8 7 5 4 4 4 4 4 5 4 3 2 2 2 2 2 2 1 1 2 4 5 5 6 7 7 6 4 3 1 -0 1 4 7 10 11 11 13 14 13 11 9 7 7 7 7 7 7 7 6 6 10 16 19 20 17 13 7 5 4 5 nan
nan 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 9 9 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 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 9 9 9 9 9 8 9 10 11 12 13 15 16 17 18 19 19 17 14 11 8 7 7 7 5 4 2 3 4 7 9 9 9 7 4 3 4 10 19 26 28 24 17 12 8 5 2 -0 -0 1 3 6 8 10 12 14 17 19 20 19 18 16 15 13 11 10 9 10 10 9 7 5 2 1 0 -0 -0 1 4 5 4 3 3 2 2 3 4 3 3 4 4 4 5 6 7 7 6 5 3 1 -0 0 3 7 10 10 10 12 14 13 12 10 10 9 9 8 8 7 8 9 10 14 18 21 22 20 15 10 5 4 4 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 9 8 9 10 12 16 20 22 24 25 24 23 22 20 18 16 13 9 7 5 4 3 -0 -2 -3 -2 0 3 5 7 7 4 -0 -3 -3 0 6 10 10 8 5 3 1 1 0 -0 2 5 8 10 12 14 15 17 19 20 20 18 16 15 15 14 13 13 12 12 11 8 5 2 -1 -2 -3 -3 -3 1 6 7 5 3 2 1 1 2 3 3 3 3 3 3 3 5 6 6 6 5 3 1 -0 0 3 6 8 9 10 10 12 12 11 11 11 11 11 11 11 11 13 15 16 18 19 21 21 19 16 11 7 3 3 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 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 10 10 9 9 8 8 10 13 17 23 29 34 35 32 29 25 21 18 17 14 13 11 9 6 3 -1 -5 -7 -7 -6 -3 -1 2 4 4 2 -2 -5 -6 -6 -5 -5 -6 -6 -4 -3 -2 -1 -0 2 5 10 14 16 17 18 19 19 20 19 18 16 15 14 14 15 15 15 14 12 9 6 3 -0 -2 -3 -5 -5 -3 2 9 10 7 4 2 0 -1 -1 0 1 2 2 2 2 3 5 6 7 7 5 4 2 2 3 5 7 8 9 10 11 11 12 12 12 11 11 12 12 12 14 17 18 19 18 17 16 16 16 15 12 8 4 2 nan
nan 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 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 9 9 9 10 9 9 8 8 11 16 20 24 29 33 33 30 27 21 17 16 15 15 15 14 12 9 4 -1 -6 -8 -7 -5 -2 0 2 3 3 2 1 -1 -2 -2 -4 -6 -7 -6 -4 -3 -2 -2 -0 5 11 17 21 21 21 21 21 20 18 17 16 15 13 13 13 14 15 15 13 10 7 4 1 -1 -2 -3 -5 -5 -1 6 10 11 8 5 2 -0 -2 -3 -2 0 2 2 3 5 6 7 8 9 8 7 6 5 5 6 7 8 9 10 11 12 13 13 12 12 12 12 11 11 12 14 17 18 16 14 12 12 13 14 14 13 10 7 4 nan
nan 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 12 15 16 17 18 21 23 25 23 18 14 13 14 15 15 14 12 8 4 -0 -3 -3 -2 1 3 5 6 6 6 5 5 5 5 4 2 0 -1 -1 -1 -1 -2 -2 1 9 18 26 28 26 23 21 20 18 16 14 13 13 12 12 12 13 13 12 11 9 7 5 2 1 -0 -1 -2 -1 4 8 10 9 7 5 3 0 -2 -2 -0 3 5 5 7 8 10 11 12 11 11 9 8 7 6 7 7 8 9 11 12 13 13 12 12 12 11 11 10 10 12 14 15 14 13 11 9 10 11 13 14 13 11 8 7 nan
nan 9 9 9 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 11 10 10 9 10 10 11 11 11 12 12 12 12 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 10 8 9 11 15 18 18 15 12 10 10 12 12 10 7 4 2 1 1 3 6 9 10 11 10 10 9 9 9 9 8 7 5 4 3 2 0 -1 -1 0 4 12 22 30 31 27 23 20 17 15 14 13 13 13 13 12 11 11 10 10 8 7 7 7 5 3 2 3 3 4 7 9 9 8 7 6 5 3 1 2 4 7 9 9 10 12 14 15 16 15 13 10 8 7 6 7 8 9 10 11 12 12 12 11 10 10 10 9 10 10 12 15 15 14 12 10 9 10 11 13 13 12 10 8 8 nan
nan 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 11 11 11 11 11 12 13 13 12 12 11 10 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 8 6 5 6 7 10 12 12 11 9 8 7 8 8 6 3 2 2 5 8 10 13 15 16 15 14 13 12 11 11 11 10 9 7 6 4 3 2 1 2 4 7 13 21 28 30 25 20 16 13 12 12 13 13 14 14 14 12 9 8 8 7 6 7 7 6 4 3 5 7 8 9 9 8 8 8 7 7 6 6 7 9 11 11 10 10 13 15 17 17 16 13 10 7 6 6 7 8 9 10 10 10 10 10 9 8 8 8 8 9 11 14 17 17 15 12 10 10 10 11 13 13 11 9 7 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 11 12 12 13 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 9 7 6 5 5 6 6 6 7 8 8 9 8 8 7 6 5 5 6 9 11 13 16 19 19 18 16 15 14 13 12 12 11 10 10 8 7 6 6 6 7 8 10 12 18 25 27 22 16 11 8 8 10 13 14 15 16 16 13 9 8 7 6 6 6 6 5 3 2 5 8 9 8 8 7 6 6 7 8 9 9 11 12 12 10 8 8 11 13 15 16 14 12 9 7 6 7 8 9 9 10 9 9 8 8 7 7 7 7 8 10 13 16 18 17 14 10 8 8 9 11 12 11 10 9 7 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 10 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 11 10 8 7 6 6 5 3 3 5 8 10 12 12 12 11 11 10 9 8 7 8 12 17 20 21 20 18 16 15 14 13 12 12 12 12 12 12 11 11 11 11 11 11 12 17 24 26 20 11 6 3 4 7 12 15 16 17 16 14 10 8 7 6 6 5 5 5 2 2 5 8 8 6 3 2 2 3 5 7 9 11 12 12 10 7 5 6 9 11 13 13 11 10 8 7 7 7 8 9 9 9 9 8 7 7 6 6 6 7 9 12 15 17 16 12 7 5 4 6 7 9 10 10 9 8 8 8 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 11 13 12 10 8 7 6 5 3 3 5 9 11 13 15 16 15 14 12 9 6 4 4 9 16 20 22 21 19 17 15 14 13 12 12 12 14 15 16 16 16 15 14 12 11 12 18 25 26 18 8 2 -1 -0 4 10 16 18 17 17 15 12 9 8 6 6 5 5 5 3 2 4 6 6 3 -1 -3 -3 -0 3 6 9 12 11 9 6 4 4 6 8 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 10 13 16 15 12 6 1 -0 1 4 6 7 8 8 8 8 8 9 nan
nan 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 9 9 9 10 10 10 9 9 9 8 8 8 8 9 10 11 11 11 10 9 7 7 6 5 5 6 8 10 12 14 16 15 13 10 7 4 2 4 8 14 19 22 22 20 17 15 14 13 12 12 13 14 17 19 19 19 17 14 11 9 13 20 26 25 17 7 -0 -4 -4 0 8 16 21 20 18 16 13 10 8 6 5 5 6 5 4 3 4 5 4 2 -1 -4 -4 -2 1 5 9 11 9 4 1 2 4 7 9 10 11 10 8 8 7 7 7 7 6 6 6 6 7 7 8 8 8 7 8 9 11 14 16 14 9 3 -1 -1 2 6 7 7 7 7 7 7 8 9 nan
nan 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 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 11 10 9 9 9 8 7 7 6 6 6 6 6 7 9 12 13 13 11 8 4 2 2 4 7 12 18 23 24 22 18 16 14 13 12 11 12 14 16 18 20 19 17 13 9 8 12 21 26 24 16 7 -1 -6 -6 -2 6 16 24 24 21 17 14 11 8 6 5 5 6 5 5 4 4 5 4 3 1 -2 -3 -3 -0 5 10 12 8 3 1 3 6 8 10 10 10 9 8 7 6 6 6 6 5 5 5 5 5 7 8 9 9 9 9 10 13 15 16 13 8 4 2 4 9 12 10 8 7 6 6 6 7 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 13 12 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 9 10 11 13 13 11 9 7 7 7 7 7 6 6 6 6 5 6 8 11 12 12 9 6 3 1 1 3 6 11 17 23 26 24 21 18 15 13 11 10 10 11 12 15 16 17 16 12 9 8 12 18 22 20 14 7 -1 -6 -8 -3 6 18 27 28 23 18 14 11 8 7 6 6 5 5 4 4 4 5 4 3 2 0 -1 -1 1 6 12 13 9 5 4 5 7 9 10 10 10 9 8 7 6 6 6 6 5 5 4 4 5 6 8 9 10 11 12 13 15 16 16 13 9 7 7 11 17 18 15 10 7 5 5 5 6 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 12 12 11 11 10 10 10 10 9 9 9 8 8 8 10 12 14 15 14 12 9 7 6 7 8 8 8 6 5 4 4 5 8 10 12 11 9 6 4 3 4 5 8 13 19 23 24 23 21 18 16 13 11 9 8 8 9 10 11 13 13 12 10 9 11 14 16 15 12 7 0 -6 -7 -3 8 20 29 31 26 19 14 11 9 8 7 7 6 5 4 4 5 4 4 4 3 2 2 2 4 8 12 11 8 6 6 7 8 9 10 10 10 9 9 8 7 6 6 6 6 6 5 5 6 6 7 8 10 12 14 15 17 17 16 14 12 11 12 16 20 20 16 10 6 4 3 3 4 6 nan
nan 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 12 11 11 10 10 10 10 9 9 8 8 8 9 11 14 16 16 13 10 8 7 8 9 10 11 10 7 4 2 3 6 9 11 12 11 9 7 5 6 8 12 16 19 21 21 20 18 17 16 15 13 11 10 8 7 8 8 8 9 11 11 10 9 10 11 11 10 8 5 1 -3 -4 1 10 21 30 33 28 20 15 11 10 9 9 8 7 6 5 5 5 5 4 4 4 4 4 5 6 7 7 5 4 5 6 8 9 9 10 11 11 11 10 9 8 7 7 7 7 7 7 8 8 7 6 6 8 11 13 15 17 17 17 16 14 13 14 16 17 16 12 7 3 1 0 1 3 5 nan
nan 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 10 10 10 9 9 8 8 10 11 13 14 16 15 12 9 8 8 10 12 14 14 13 9 4 1 2 6 9 11 12 12 10 7 6 7 12 20 24 25 22 19 16 15 14 13 13 12 12 12 12 10 9 7 7 8 9 10 9 9 9 9 7 5 4 3 2 1 1 4 11 20 28 32 29 23 17 12 10 9 10 10 10 8 6 5 5 6 6 7 7 8 9 10 10 8 4 2 3 5 7 9 10 10 11 12 12 11 11 9 8 8 8 8 8 9 9 10 10 9 7 6 6 7 10 12 14 16 16 16 15 14 14 14 13 11 8 3 -0 -2 -1 1 3 4 nan
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nan 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 12 12 10 12 18 24 29 29 23 17 12 8 6 7 9 13 16 16 15 14 12 12 11 10 8 6 4 3 2 2 6 10 13 15 14 13 13 12 11 11 11 10 10 9 9 9 8 8 8 8 8 8 7 7 8 9 10 11 11 10 9 8 7 7 7 8 9 10 11 11 10 8 7 7 7 8 10 12 12 11 10 9 8 8 9 9 9 8 8 8 9 10 12 14 13 13 12 12 11 11 10 9 7 6 5 3 2 2 2 3 4 6 7 7 7 7 7 8 10 10 11 10 10 10 10 9 8 7 7 7 7 8 8 8 9 10 11 13 14 14 14 14 13 13 12 11 9 9 9 10 11 12 13 13 14 14 12 10 9 9 9 9 9 nan
nan 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 13 12 11 11 16 23 27 28 23 16 11 8 6 6 9 12 14 15 14 13 13 12 11 11 9 8 7 5 5 5 9 13 15 15 14 12 12 11 10 9 9 10 11 11 12 12 12 10 9 8 8 8 8 7 8 10 12 13 14 12 11 8 7 7 6 7 8 8 9 9 9 8 7 7 7 8 10 11 11 10 9 8 7 7 8 8 8 8 8 9 10 11 12 14 14 14 14 14 13 12 11 10 9 8 7 6 6 6 5 4 4 6 7 8 8 6 6 6 7 8 8 8 8 8 9 10 10 10 9 9 9 9 9 8 8 9 10 11 12 13 14 14 14 13 11 10 9 9 10 11 11 11 11 11 11 12 13 13 12 11 10 9 9 nan
nan 7 7 7 8 8 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 8 9 9 9 10 10 9 9 10 11 13 13 12 11 14 21 26 27 25 18 11 8 6 6 8 11 13 14 14 13 13 12 11 10 10 10 10 9 9 10 11 14 15 13 11 9 8 8 8 7 8 9 10 11 12 14 14 13 12 11 10 10 9 9 10 12 13 14 14 13 11 9 8 7 7 7 7 7 7 8 8 8 7 7 7 8 10 10 10 9 9 8 7 7 7 8 8 8 8 9 10 12 13 13 14 15 16 16 14 12 11 11 10 9 8 8 9 10 8 7 6 6 7 9 9 8 6 6 7 7 8 7 7 8 9 10 10 10 10 10 10 9 9 9 9 10 10 10 11 13 14 15 15 13 11 9 8 8 10 10 10 10 10 10 11 13 14 15 15 13 11 10 9 nan
nan 7 7 7 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 8 8 9 9 10 10 9 9 9 11 12 14 12 11 14 20 26 29 26 21 14 9 8 7 7 10 12 14 15 15 13 12 11 10 9 10 10 10 10 11 12 13 14 11 9 7 5 5 5 5 7 8 9 10 11 13 15 15 14 12 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 9 8 7 8 8 9 9 9 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 8 9 11 12 12 11 11 13 15 16 14 12 11 11 11 10 9 9 11 12 12 10 8 6 7 8 9 8 7 7 7 8 9 9 8 9 9 10 10 10 9 9 8 8 9 10 11 12 11 11 11 12 14 15 15 14 11 8 7 7 8 8 8 9 11 12 14 15 16 16 16 14 12 10 9 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 12 13 13 13 16 21 26 28 26 21 17 12 9 7 7 8 12 15 17 17 15 13 12 10 10 9 9 9 9 8 9 10 11 10 8 6 4 3 3 5 8 10 10 10 11 12 14 14 13 12 11 10 11 11 11 10 10 10 11 12 13 13 13 12 12 10 9 9 9 10 10 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 8 10 12 14 14 12 11 11 11 11 11 12 13 14 13 12 10 8 7 7 8 8 7 7 7 8 9 9 9 8 8 9 9 9 9 8 8 8 9 10 11 12 11 10 10 11 13 14 14 13 10 8 6 5 4 4 5 8 11 14 16 17 17 16 15 14 12 10 9 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 10 11 12 14 14 17 22 25 27 24 20 16 12 9 6 6 7 11 16 18 18 18 16 14 12 10 9 9 8 7 6 7 9 11 11 10 7 5 3 4 6 9 11 11 11 11 11 12 12 12 11 10 10 10 10 9 8 8 10 12 14 15 14 13 12 11 10 9 9 10 11 12 12 11 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 8 9 10 11 12 12 12 11 11 11 12 14 14 14 14 12 10 8 8 8 8 8 8 8 7 8 9 10 10 8 7 8 8 8 8 9 9 10 10 11 12 11 10 9 9 10 11 12 12 11 9 7 4 2 1 1 5 10 13 15 16 16 15 15 14 13 11 10 9 nan
nan 7 7 7 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 8 9 9 9 9 9 10 12 13 14 16 21 24 25 23 19 13 10 7 5 5 7 10 14 18 19 19 18 16 14 12 10 9 7 6 6 8 11 13 14 13 10 8 6 6 7 8 9 10 10 10 10 11 12 13 13 12 11 10 9 8 8 9 11 14 17 16 13 10 8 7 6 6 7 9 11 12 12 11 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 11 12 12 11 11 11 12 14 15 15 14 12 9 8 8 8 9 9 9 8 7 8 10 12 12 10 9 8 8 8 8 9 9 10 11 12 13 13 11 9 8 8 9 10 9 8 7 5 2 0 0 3 9 15 17 16 15 14 13 12 12 11 10 9 9 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 11 12 14 15 19 23 25 24 19 13 9 7 6 6 8 10 13 16 18 18 18 16 14 12 10 9 9 9 10 11 14 17 17 16 14 11 9 8 8 7 6 6 7 7 7 8 10 12 13 13 12 10 8 7 8 9 13 18 20 17 11 6 4 3 3 3 4 6 9 11 11 11 9 9 9 9 9 8 7 7 7 8 8 8 9 9 10 10 10 9 9 10 11 13 13 13 11 11 11 12 13 12 11 12 13 15 15 14 13 11 8 8 8 9 10 9 8 6 8 11 12 13 12 11 10 10 9 9 9 9 9 10 12 15 17 16 13 10 8 7 6 4 3 4 4 2 0 2 6 14 18 18 16 14 12 11 10 10 10 10 9 9 nan
nan 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 12 13 15 18 22 25 24 20 15 11 9 9 8 8 10 12 14 15 16 15 14 12 11 11 10 11 11 13 15 17 18 19 18 16 13 11 9 8 6 4 3 3 3 4 4 6 8 10 12 11 10 8 7 7 10 14 20 22 16 9 3 1 1 3 4 5 7 9 11 11 10 8 8 9 9 8 7 6 6 7 7 8 8 8 9 9 10 10 9 9 10 11 14 15 15 13 11 11 11 13 13 13 12 12 13 15 15 14 13 11 9 10 10 10 9 7 6 7 10 12 13 12 11 11 11 11 10 9 8 8 9 13 19 23 23 21 17 11 7 2 -1 -0 2 4 4 3 4 9 13 16 16 14 13 11 10 9 9 9 9 9 8 nan
nan 7 7 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 11 13 15 18 22 25 25 22 18 14 11 10 8 7 9 10 12 13 13 12 11 11 11 10 9 10 11 12 13 14 15 16 15 14 12 10 8 7 5 3 1 1 1 2 2 3 4 6 8 10 10 9 8 8 10 14 19 21 14 7 0 -2 -0 4 7 10 12 13 12 11 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 12 14 16 15 13 10 9 10 11 13 13 12 12 12 13 14 15 15 14 12 11 11 10 9 6 6 7 10 12 12 12 10 9 9 10 9 9 8 9 11 15 22 26 28 27 22 14 6 -0 -4 -2 2 6 8 8 7 9 10 12 12 12 12 12 11 10 9 8 8 8 8 nan
nan 7 7 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 11 12 14 18 22 25 26 22 18 15 12 8 6 5 6 8 10 11 12 12 12 11 10 8 6 6 6 6 5 5 6 7 9 9 8 7 6 4 4 3 2 1 2 2 3 2 2 2 4 7 9 9 9 9 11 14 18 18 12 5 -0 -3 -2 2 8 13 16 17 15 12 10 8 8 9 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 11 13 15 14 11 9 8 8 9 11 13 13 12 12 11 13 15 16 16 14 13 12 10 8 6 6 8 10 13 13 12 10 7 5 6 7 8 10 12 14 17 20 24 25 25 22 14 5 -2 -4 -1 5 9 12 11 8 8 8 8 10 12 13 13 12 10 9 8 8 8 8 nan
nan 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 12 14 17 22 24 25 22 17 14 11 7 4 3 4 6 9 11 13 14 14 12 9 6 3 1 -0 -2 -4 -5 -3 -1 2 4 5 5 4 3 3 3 3 3 3 3 4 3 2 1 2 4 7 10 11 12 13 16 17 16 11 5 1 -1 -2 1 7 13 16 17 16 14 12 10 10 10 10 10 10 9 9 9 10 10 9 8 8 8 8 9 9 9 10 10 11 12 12 10 9 8 7 8 10 12 14 13 12 10 10 12 15 16 15 14 12 11 9 6 6 7 9 13 15 15 12 6 2 2 4 8 12 15 16 15 16 17 18 19 18 11 3 -1 -3 -1 4 9 10 8 6 5 5 6 8 11 13 13 12 11 10 9 8 8 7 nan
nan 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 9 10 12 14 16 20 23 23 21 17 13 10 8 5 4 5 7 10 12 13 14 15 13 10 6 3 -0 -3 -5 -7 -6 -4 -1 1 4 6 6 7 7 7 7 7 6 6 6 6 5 4 3 2 4 7 10 11 12 13 15 16 15 12 7 4 3 3 4 8 13 15 16 16 15 13 12 11 10 9 9 9 8 8 9 9 9 9 8 7 7 7 8 8 9 9 9 9 10 11 10 10 9 8 8 9 12 14 14 12 10 8 9 11 12 12 13 13 13 10 7 7 8 10 14 17 17 13 8 2 1 3 7 12 14 13 11 10 11 12 13 13 9 4 -0 -2 -1 2 5 5 4 3 3 4 5 7 9 11 11 11 11 10 9 8 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
13 14 15 12 10 8 8 8 9 11 14 20 24 26 28 23 18 15 13 12 12 12 10 9 11 12 15 20 23 18 11 8 6 7 9 8 6 6 6 6 7 8 9 12 17 17 18 18 17 17 18 17 17 17 19 19 19 18 18 16 12 10 10 10 11 12 13 13 13 13 13 12 13 12 13 11 10 10 10 9 8 8 8 7 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 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 30 241 585 835 838 647 439 314 242 196 182 219 315 458 630 797 938 1043 1120 1183 1233 1267 1296 1356 1428 1466 1526 1649 1943 2290 2408 2191 1998 1921 1887 1847 1807 1816 1891 1971 1902 1591 1152 789 569 351 117 126 134 99 52 32 21 15 20 39 60 76 82 80 91 134 216 310 327 236 193
15 15 14 12 10 10 9 9 10 12 16 20 23 24 22 17 13 13 14 13 12 12 12 15 19 19 19 18 18 19 15 11 13 12 10 8 6 6 5 5 6 7 7 8 11 13 15 15 15 14 16 17 17 18 18 18 19 19 20 18 15 13 12 13 13 13 14 15 14 13 13 13 13 13 12 11 10 9 9 9 8 8 8 7 6 6 6 6 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 5 4 4 4 5 5 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 1 14 162 448 689 738 609 437 321 257 227 225 275 369 490 622 753 879 984 1080 1173 1242 1288 1338 1425 1530 1561 1644 1825 2125 2320 2233 2029 1923 1940 1949 1920 1886 1901 1971 2011 1838 1303 849 519 410 342 239 225 242 168 102 64 48 45 51 60 74 86 72 75 72 95 156 228 273 307 294
15 14 11 11 11 12 13 12 11 12 14 15 15 14 13 10 9 9 11 14 14 17 20 24 25 26 23 20 19 19 17 15 14 16 12 9 8 7 5 5 6 6 7 8 9 11 12 12 14 14 14 15 15 16 17 17 18 19 19 17 15 14 14 14 14 14 15 15 14 14 13 13 13 13 12 11 10 9 9 9 8 8 7 6 6 6 6 5 5 4 4 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 6 5 4 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 4 27 130 360 583 668 606 473 356 286 264 280 342 430 534 647 765 887 1011 1118 1193 1239 1269 1324 1433 1558 1618 1686 1833 2058 2157 2072 1936 1877 1899 1908 1879 1852 1859 1856 1740 1405 881 578 455 441 414 370 336 289 213 163 130 119 129 136 126 112 107 96 124 110 129 175 227 280 340 337
11 11 12 14 15 17 16 14 12 11 11 11 13 12 10 9 9 10 11 14 17 19 19 21 24 25 22 19 17 17 17 17 15 12 11 12 11 9 6 6 6 6 6 7 8 10 11 11 12 12 14 14 15 15 16 17 18 19 17 16 15 15 15 15 14 15 15 15 14 14 14 13 12 13 12 12 10 9 9 8 8 8 7 6 6 6 6 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 6 5 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 11 54 155 327 513 614 602 510 399 320 298 329 409 501 599 704 813 923 1029 1118 1166 1190 1226 1305 1427 1547 1614 1661 1786 1957 2016 1938 1821 1755 1731 1687 1618 1565 1510 1390 1166 855 565 452 468 475 437 398 368 333 295 251 212 211 238 251 249 237 220 196 207 189 207 228 258 296 321 314
10 11 14 17 19 17 14 12 10 9 9 10 10 10 9 11 14 15 16 15 14 12 12 15 20 21 19 17 15 15 16 17 17 16 15 15 14 13 10 8 7 7 7 8 8 9 11 11 12 13 15 15 15 16 17 18 18 18 15 15 15 15 15 15 15 15 15 14 14 14 13 12 13 13 12 11 11 9 8 8 8 7 6 6 6 6 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 5 5 5 6 6 6 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 17 73 174 307 451 557 581 524 431 358 343 391 486 589 685 775 861 936 997 1048 1105 1149 1220 1332 1456 1559 1629 1696 1835 1936 1893 1754 1630 1550 1468 1335 1186 1068 956 807 647 510 446 468 491 487 468 448 421 387 354 327 305 300 302 313 357 394 397 384 364 331 330 318 320 323 306 274
10 10 11 12 12 12 11 9 9 10 9 9 10 10 10 12 17 17 14 11 9 9 11 16 20 21 22 20 14 10 11 11 12 13 15 15 14 14 12 11 10 10 11 11 12 13 14 14 15 16 17 18 18 18 19 20 19 18 16 15 14 15 15 15 14 15 15 15 14 13 13 14 13 13 11 11 10 9 8 8 7 7 6 6 6 5 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 5 6 6 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 1 16 62 142 247 364 474 528 509 445 393 397 468 582 695 787 856 907 944 974 1010 1075 1153 1266 1389 1500 1597 1707 1846 1979 1946 1766 1598 1474 1350 1181 964 763 633 547 456 421 442 504 562 569 553 554 551 522 474 422 379 354 352 343 359 417 469 504 530 519 459 445 435 420 383 318 252
9 9 8 9 9 9 9 9 10 10 9 8 10 10 9 9 11 11 9 8 8 10 13 15 18 20 23 19 14 12 12 11 10 12 13 14 14 14 15 14 14 15 16 17 19 20 20 20 20 22 22 22 21 21 20 19 19 19 18 16 15 16 17 17 16 15 15 16 15 14 13 13 12 12 10 10 9 8 8 8 7 6 6 5 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 4 4 5 6 6 7 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 1 5 16 42 90 170 273 376 452 467 439 422 457 551 680 805 895 938 955 965 985 1034 1113 1207 1337 1465 1553 1654 1809 1956 1994 1883 1662 1526 1440 1292 1066 810 581 395 381 337 384 426 456 481 500 530 587 638 634 577 502 447 424 428 429 439 459 485 523 559 563 536 511 502 486 435 350 265
7 9 10 10 9 8 9 11 12 12 11 10 11 12 8 9 10 10 9 9 9 13 15 16 17 19 20 21 21 19 18 16 14 13 14 14 16 18 19 18 16 17 18 18 17 19 20 20 22 20 21 22 20 18 15 15 16 18 19 19 19 20 19 19 18 16 16 16 16 15 14 14 13 11 10 9 8 8 7 7 6 6 6 5 4 4 4 5 5 5 4 3 3 3 3 3 3 3 3 4 4 5 6 6 7 8 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 1 5 14 28 41 52 76 135 216 305 379 419 426 442 503 611 744 872 959 992 989 982 997 1046 1134 1250 1387 1506 1583 1695 1850 1931 1881 1749 1617 1557 1511 1371 1142 871 613 409 336 321 412 481 471 419 393 432 527 638 698 676 605 544 524 533 531 499 468 457 467 485 493 486 477 475 460 413 340 264
9 11 13 11 10 10 13 18 19 17 16 13 10 7 7 10 13 13 13 13 13 15 18 18 17 17 18 22 24 22 20 19 18 17 17 17 20 19 18 17 15 13 13 13 13 12 12 12 11 13 15 17 15 12 10 10 12 14 16 19 20 21 22 22 21 19 17 16 16 15 13 11 11 10 9 8 8 7 7 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 7 7 8 9 8 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 26 57 94 122 129 130 155 206 273 339 388 418 454 522 621 741 861 951 995 1000 997 1020 1075 1170 1300 1428 1510 1588 1713 1820 1834 1763 1676 1624 1609 1559 1396 1150 852 583 393 285 283 443 514 500 487 529 622 724 801 844 822 759 712 696 689 651 543 442 381 366 379 397 407 414 423 414 368 302 236
11 12 14 12 17 19 20 20 17 13 13 14 14 13 13 14 18 18 19 17 16 16 18 17 17 16 18 20 20 20 20 18 16 17 18 18 19 16 14 14 13 12 10 10 10 9 9 8 8 9 9 10 10 10 9 9 9 9 11 14 17 19 21 23 22 21 18 16 16 14 12 11 10 9 8 8 7 7 6 6 6 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 6 7 9 9 9 10 9 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 31 75 136 201 247 259 234 214 228 271 327 378 420 461 515 589 688 796 890 950 978 993 1031 1115 1239 1351 1431 1489 1567 1688 1712 1668 1605 1570 1560 1533 1413 1180 932 661 451 328 299 372 498 546 593 677 789 891 947 957 962 969 964 958 950 927 847 672 475 329 288 316 355 377 388 401 396 341 258 194
11 13 16 18 23 23 21 18 15 14 14 16 19 19 17 18 20 19 20 17 15 17 20 20 19 16 19 20 20 21 21 19 16 16 17 17 16 13 14 14 12 10 9 9 9 8 7 7 8 9 8 7 8 9 10 9 8 8 8 9 12 15 17 18 18 18 16 16 14 12 11 10 9 8 7 7 6 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 6 7 8 9 9 10 10 9 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 34 73 139 230 319 375 383 353 302 275 292 334 382 426 466 507 559 640 739 832 902 947 985 1044 1148 1279 1365 1405 1437 1485 1535 1498 1424 1374 1366 1363 1291 1096 817 617 424 361 384 460 554 621 670 776 923 1037 1070 1036 992 1000 1072 1144 1192 1234 1245 1166 952 638 361 265 290 342 372 379 384 382 315 216 160
13 16 20 25 25 22 20 18 18 18 19 20 23 27 24 22 20 19 19 16 14 16 19 21 20 19 19 21 20 20 20 19 18 18 16 16 15 14 14 13 12 11 9 9 9 8 7 7 10 10 10 10 10 10 11 11 8 7 6 7 9 11 13 13 13 14 13 12 11 10 10 9 8 7 6 6 6 6 6 5 5 4 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 7 8 8 9 10 10 10 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 32 67 112 199 321 426 479 484 454 391 337 339 365 407 450 491 529 570 636 727 818 891 944 997 1081 1207 1305 1331 1328 1318 1309 1287 1229 1161 1113 1092 1068 980 803 588 447 396 508 648 746 784 795 838 952 1098 1175 1151 1077 1030 1062 1162 1277 1362 1481 1549 1489 1240 833 451 273 267 312 359 399 424 410 309 195 143
20 23 23 25 25 23 21 21 20 22 23 22 20 20 21 21 19 20 20 18 16 17 19 20 20 21 21 22 19 19 18 18 17 17 16 16 15 14 13 13 11 11 10 10 9 8 8 9 10 10 11 11 12 12 13 12 10 7 6 6 8 10 11 10 9 9 9 9 9 9 8 8 7 6 6 6 5 5 5 5 5 4 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 7 8 9 10 10 10 10 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 9 26 51 86 143 245 398 520 561 561 533 475 418 411 430 463 501 539 574 613 669 752 847 929 982 1030 1101 1189 1248 1230 1212 1196 1179 1152 1102 1026 936 858 790 715 625 562 580 688 870 987 1022 1005 991 1017 1093 1182 1223 1216 1202 1209 1256 1328 1396 1459 1603 1697 1661 1403 962 531 289 240 266 329 415 458 426 350 214 151
24 24 23 22 22 22 22 24 24 25 23 22 21 20 19 17 18 20 22 20 19 19 20 20 19 19 19 19 18 17 16 16 16 16 16 16 15 15 15 14 13 12 11 11 11 10 10 10 10 11 12 12 12 12 12 13 12 9 8 8 8 8 7 6 5 5 7 8 9 9 8 7 6 6 6 5 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 7 8 9 10 10 10 9 7 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 7 23 40 57 86 147 266 447 620 668 657 616 558 512 505 518 533 554 579 610 650 707 788 885 972 1019 1047 1078 1117 1158 1150 1160 1178 1185 1163 1095 976 835 724 621 605 648 757 924 1093 1217 1233 1202 1148 1109 1107 1145 1192 1235 1328 1438 1514 1583 1619 1566 1528 1612 1694 1687 1446 1011 569 308 229 232 291 404 479 472 400 280 187
21 20 19 18 18 18 17 17 18 21 21 19 19 20 20 19 18 18 18 18 17 17 18 19 19 18 19 17 16 17 16 15 16 16 16 15 15 14 16 15 14 13 13 12 12 12 12 11 11 12 12 11 11 11 12 13 13 11 9 9 8 7 6 5 5 6 7 8 8 8 7 6 6 6 5 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 7 8 8 8 9 9 8 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 21 36 45 53 73 131 259 469 710 819 773 701 641 596 576 569 568 575 595 632 683 749 822 897 962 994 1009 1025 1051 1083 1129 1180 1219 1208 1150 1054 926 796 704 628 715 877 1071 1255 1381 1423 1394 1327 1241 1147 1064 1007 1003 1103 1385 1601 1729 1823 1811 1688 1599 1607 1665 1672 1464 1058 627 343 229 201 232 342 441 485 448 353 247
16 16 16 15 14 13 13 14 14 17 19 19 19 18 18 18 18 17 15 15 15 15 17 18 19 19 22 19 17 18 18 18 17 16 15 14 14 14 15 14 14 14 13 13 12 12 11 11 12 12 12 12 11 11 12 12 12 12 11 10 10 8 7 7 7 8 8 8 8 7 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 6 7 8 8 8 9 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 19 29 38 47 57 70 113 233 456 734 934 904 772 667 607 582 571 575 592 627 679 742 803 845 870 892 924 954 973 995 1040 1116 1179 1179 1110 1025 947 881 828 804 852 1005 1187 1344 1465 1522 1513 1481 1419 1352 1270 1152 1020 940 1026 1381 1589 1715 1748 1700 1634 1628 1647 1683 1681 1505 1161 788 500 325 250 229 288 349 393 403 364 291
13 14 14 12 13 15 16 18 19 18 17 17 17 18 18 18 18 18 17 16 15 15 18 18 16 16 19 23 21 19 18 17 16 16 16 15 14 14 14 15 14 14 13 12 12 12 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 9 9 8 8 8 8 7 7 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 7 8 8 8 8 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 19 28 41 58 74 78 98 193 398 670 880 874 707 612 582 581 596 626 668 719 776 830 863 867 853 849 892 936 963 998 1043 1079 1082 1041 957 883 855 867 917 1016 1166 1312 1426 1503 1536 1537 1520 1506 1479 1456 1445 1366 1216 1088 1105 1320 1497 1594 1538 1496 1545 1648 1715 1720 1684 1547 1304 1038 776 527 331 245 251 274 297 321 332 313
15 15 15 15 16 17 18 18 17 16 15 16 17 17 18 18 20 21 20 18 16 15 15 15 13 13 13 14 15 16 16 16 15 15 15 15 14 14 14 14 14 14 12 11 12 12 12 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 9 8 8 8 8 7 6 6 5 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 4 4 5 6 6 7 7 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 2 8 16 31 51 74 92 91 85 143 308 544 713 712 607 578 610 650 692 741 797 850 894 920 926 918 908 914 952 1004 1032 1056 1062 1048 1023 980 923 888 913 977 1074 1205 1356 1485 1542 1551 1525 1510 1501 1489 1473 1484 1548 1586 1517 1376 1273 1312 1468 1517 1478 1468 1524 1615 1688 1705 1671 1576 1416 1248 1043 764 469 304 240 226 222 246 292 331
16 14 13 13 13 15 15 14 14 15 15 16 16 17 19 19 19 20 19 18 16 15 14 15 14 13 13 13 14 14 14 14 14 14 15 15 15 15 15 15 15 14 13 12 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 9 8 7 7 7 7 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 2 1 2 2 1 1 2 2 2 2 4 5 5 6 6 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 17 32 50 73 90 86 65 85 213 428 588 630 610 641 707 767 818 872 930 980 1012 1028 1033 1031 1023 1033 1073 1118 1092 1093 1114 1116 1103 1083 1072 1082 1129 1179 1224 1301 1406 1503 1555 1543 1515 1493 1463 1426 1398 1392 1401 1484 1608 1484 1415 1464 1537 1569 1559 1538 1547 1579 1610 1623 1609 1573 1466 1386 1232 964 652 423 287 215 170 170 234 327
12 11 9 9 11 14 15 16 16 19 19 19 19 19 19 19 20 18 17 16 15 14 14 14 14 14 13 12 12 13 13 13 14 14 15 16 16 16 15 14 14 14 14 13 12 11 11 12 12 12 13 12 11 10 10 10 10 10 10 10 9 8 8 7 7 7 6 6 6 6 6 5 4 4 4 4 4 3 3 3 3 2 2 1 0 1 1 0 1 1 2 2 2 3 4 5 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 1 3 7 11 19 32 55 70 64 45 48 144 355 534 630 682 749 824 887 943 994 1042 1086 1122 1148 1172 1161 1154 1159 1192 1208 1152 1130 1193 1241 1258 1267 1285 1319 1365 1365 1336 1340 1392 1466 1522 1530 1521 1501 1446 1374 1319 1287 1273 1335 1520 1498 1517 1584 1630 1649 1643 1616 1614 1606 1549 1471 1438 1475 1455 1450 1366 1161 888 621 409 279 196 164 213 315
11 10 10 10 13 17 19 20 19 18 18 18 17 16 16 18 19 18 16 14 14 14 13 13 13 12 11 11 11 12 12 13 14 15 16 16 16 16 15 15 15 15 14 13 13 12 12 12 13 13 13 12 10 9 9 10 10 10 10 9 8 8 8 8 7 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 2 2 1 1 1 1 0 1 2 2 2 2 2 2 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 8 24 53 69 59 42 54 136 327 518 645 728 808 898 990 1058 1102 1139 1169 1195 1230 1274 1270 1296 1298 1307 1286 1245 1276 1340 1383 1395 1397 1407 1440 1485 1483 1437 1415 1446 1496 1547 1580 1578 1534 1440 1325 1234 1174 1116 1034 961 1003 1154 1371 1552 1635 1631 1592 1603 1617 1542 1416 1354 1392 1425 1447 1407 1241 1000 736 498 340 238 180 216 303
13 14 15 15 17 19 20 21 20 18 18 17 16 15 15 17 17 17 16 15 15 15 15 13 13 13 12 11 12 13 13 13 13 14 15 16 16 16 16 16 16 17 15 15 15 14 13 13 12 13 12 11 11 10 10 10 10 9 9 9 8 7 8 7 7 7 6 6 6 5 5 4 4 4 4 4 4 3 3 3 2 2 1 0 0 0 0 1 1 1 1 1 2 2 1 1 0 0 0 0 0 0 3 6 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 46 85 97 83 74 100 186 338 514 640 718 800 914 1040 1127 1175 1215 1240 1257 1293 1352 1372 1428 1418 1400 1369 1340 1345 1378 1417 1448 1454 1458 1488 1540 1573 1557 1536 1560 1600 1641 1663 1633 1544 1416 1279 1154 1058 960 849 802 793 859 992 1153 1268 1299 1281 1300 1365 1411 1460 1461 1447 1448 1426 1318 1088 828 602 442 352 298 250 258 323
16 17 18 18 19 18 18 17 17 17 17 16 15 16 16 16 16 16 17 16 17 17 17 17 16 16 15 14 14 14 15 14 13 14 15 16 16 16 16 16 16 17 17 17 16 15 15 14 14 13 12 12 11 11 11 10 10 9 9 8 8 7 7 7 7 6 6 6 6 5 4 4 4 4 4 4 4 3 3 2 2 1 0 0 0 0 0 0 1 1 0 0 1 3 6 9 4 1 0 0 0 1 4 10 15 14 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 42 80 113 118 108 115 155 231 341 481 598 667 749 878 1018 1120 1175 1215 1234 1234 1247 1282 1346 1461 1477 1460 1458 1480 1513 1539 1549 1559 1560 1537 1542 1588 1640 1647 1626 1629 1650 1672 1669 1613 1502 1373 1253 1115 1015 936 859 784 726 727 763 817 867 896 913 939 990 1109 1270 1406 1460 1422 1291 1060 760 508 352 294 308 357 392 382 435
15 16 17 18 18 17 17 17 16 16 15 16 17 17 17 16 16 16 17 17 17 18 18 17 17 18 18 17 17 16 16 16 14 13 14 15 16 16 16 15 15 17 18 17 17 17 16 15 14 13 13 12 12 11 11 10 10 10 9 8 7 7 8 7 6 6 6 6 5 5 4 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 4 0 0 0 0 0 0 0 3 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 30 64 85 93 91 81 80 116 177 245 329 439 547 619 700 829 959 1048 1089 1108 1115 1112 1137 1217 1331 1435 1476 1490 1518 1565 1614 1648 1653 1627 1580 1536 1518 1539 1575 1596 1601 1594 1606 1623 1613 1555 1451 1334 1233 1112 986 861 772 725 692 680 693 714 737 761 787 811 829 879 977 1147 1265 1217 998 702 443 279 197 185 230 317 419 504 570
14 15 17 17 18 18 17 17 17 17 16 16 16 17 17 17 16 16 16 16 17 17 18 17 17 18 17 17 18 18 17 16 15 14 14 15 15 15 15 15 15 16 17 17 18 17 16 15 14 13 13 12 11 11 10 10 9 8 8 8 8 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 24 93 129 114 77 43 25 31 80 174 255 340 435 527 594 657 762 865 930 950 943 932 935 999 1138 1279 1387 1464 1516 1575 1625 1663 1669 1623 1529 1427 1383 1352 1379 1412 1440 1476 1507 1546 1581 1577 1517 1413 1292 1178 1037 836 665 577 570 610 657 692 712 725 738 750 757 755 752 817 963 1069 983 729 461 279 185 136 125 155 232 352 495 607
14 15 16 18 19 18 18 18 18 18 17 17 18 18 17 17 17 17 17 17 17 18 17 17 16 17 17 17 17 18 18 18 17 16 16 16 14 13 13 14 15 16 16 17 17 17 16 15 15 15 14 12 11 12 10 10 9 8 8 8 8 8 7 7 6 6 6 5 4 4 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 1 28 51 76 120 134 95 47 14 3 10 45 145 262 376 470 537 575 605 672 760 815 820 796 774 782 857 1007 1161 1311 1431 1501 1536 1524 1506 1474 1391 1297 1256 1224 1210 1234 1277 1317 1361 1420 1497 1554 1541 1464 1349 1220 1074 869 612 454 403 430 497 570 626 655 664 665 666 668 669 669 749 883 969 854 600 363 229 152 107 87 103 166 279 432 568
15 16 18 19 18 17 17 16 16 17 17 16 17 18 17 17 17 18 18 18 17 17 16 16 16 16 16 16 16 17 18 18 18 18 18 17 14 12 11 12 14 16 14 15 15 16 16 16 16 15 15 13 12 12 11 10 9 8 8 8 8 8 8 7 6 6 6 5 5 4 4 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 88 118 96 76 67 43 17 4 0 3 23 92 248 418 536 582 581 557 505 547 661 716 712 697 712 769 920 1113 1296 1395 1391 1322 1250 1216 1199 1171 1148 1140 1125 1121 1126 1165 1222 1290 1367 1441 1482 1447 1367 1261 1121 922 661 427 318 299 329 378 426 468 495 504 502 506 519 539 577 677 790 851 723 485 279 177 125 87 69 81 132 230 365 488
16 18 18 19 18 18 17 16 17 18 17 17 18 18 17 17 17 17 17 17 18 18 18 17 17 17 17 17 17 17 17 17 17 18 18 17 16 13 11 11 12 15 16 14 14 14 15 15 15 15 15 13 13 12 12 10 9 8 8 8 8 8 8 7 6 6 6 5 5 4 4 4 4 4 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 134 164 104 45 19 9 2 0 0 1 9 70 247 486 655 684 642 578 525 552 667 730 732 704 687 715 845 1064 1193 1182 1116 1048 996 967 983 1023 1040 1047 1042 1012 971 943 976 1059 1160 1247 1297 1302 1265 1166 974 717 460 289 216 210 220 233 252 275 299 313 315 325 348 388 458 572 734 719 527 312 173 117 92 73 67 78 112 183 286 394
17 18 18 18 18 18 18 18 18 17 17 18 18 17 17 17 17 17 16 17 17 18 18 18 18 19 18 19 19 19 19 18 19 18 18 18 18 16 14 12 13 13 12 13 14 15 15 14 14 14 14 13 13 13 12 11 9 9 8 8 8 8 8 7 7 6 6 5 5 4 4 4 4 4 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 21 147 242 185 96 33 6 0 0 0 3 18 107 313 597 826 836 764 698 673 690 750 827 817 726 650 656 771 947 942 929 910 879 843 809 827 898 925 949 905 779 636 537 551 645 780 920 1042 1130 1131 972 717 460 266 161 124 119 116 114 121 133 147 157 162 172 202 252 353 498 611 526 318 174 101 74 65 62 65 71 86 128 204 298
17 18 19 19 17 18 17 17 17 16 17 17 16 16 17 17 17 17 17 18 18 18 18 20 20 20 20 20 21 21 20 20 20 18 18 18 19 18 17 16 16 15 13 13 14 15 15 15 15 14 14 13 14 14 13 12 10 9 8 8 8 8 8 8 7 7 6 5 4 4 4 4 4 4 4 4 4 3 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 56 215 413 398 266 125 34 1 0 0 9 66 199 428 719 961 972 882 812 792 820 878 941 891 711 581 576 677 797 793 776 786 772 730 699 715 771 805 766 602 401 250 186 218 340 512 690 825 874 808 612 396 228 123 74 59 55 53 52 56 62 65 67 71 81 119 170 290 428 473 369 227 140 87 60 49 47 50 52 54 79 141 222
16 17 18 17 16 17 17 16 16 16 17 17 17 18 17 17 18 19 19 19 19 19 19 21 19 19 19 19 20 20 19 18 17 17 17 17 18 18 18 18 17 16 15 15 16 16 15 14 14 14 13 13 14 14 13 12 11 9 8 8 8 7 8 8 7 7 6 5 4 4 4 4 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 148 380 586 615 464 248 82 8 0 3 21 131 308 556 825 1022 1054 969 900 893 941 1001 1014 918 677 529 517 597 691 728 737 747 719 666 643 652 653 652 449 247 116 55 47 86 193 354 491 546 496 385 258 155 92 54 36 28 24 24 25 28 30 30 31 37 51 85 136 241 342 374 328 273 216 149 83 43 31 31 30 27 42 90 160
16 16 15 15 16 17 16 17 17 17 18 18 17 17 18 18 18 19 19 19 20 20 21 20 19 20 19 19 19 19 19 19 18 18 18 18 18 18 18 18 18 18 17 19 17 17 16 15 15 15 14 13 12 12 13 12 11 10 9 8 8 8 7 8 7 7 6 6 5 4 4 4 3 3 3 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 0 0 0 0 0 0 0 0 2 3 2 0 0 0 6 70 310 557 695 694 575 333 120 21 0 5 34 162 443 722 936 1056 1078 1035 1004 1032 1083 1096 1033 874 619 486 470 518 593 677 753 783 735 690 662 626 540 454 171 62 20 10 18 41 94 179 235 236 183 126 83 53 37 28 22 18 15 15 17 20 21 22 25 32 47 72 116 184 243 271 277 292 270 276 156 65 29 21 19 19 27 56 101
16 17 16 15 15 15 15 15 16 17 17 17 17 17 17 18 19 19 19 19 20 19 20 20 19 20 20 20 19 19 20 20 19 18 19 19 18 18 20 20 20 19 18 18 16 16 16 16 15 15 14 13 12 12 12 13 11 10 9 8 8 8 7 8 7 6 6 5 4 4 4 3 3 3 3 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 0 0 0 0 0 0 0 0 1 5 13 16 11 3 0 4 27 157 422 593 665 658 564 361 138 28 0 4 40 183 601 889 1024 1066 1071 1080 1114 1174 1204 1146 1003 795 578 478 483 517 578 673 778 838 811 775 696 614 465 235 63 12 2 4 10 23 43 69 81 78 61 45 32 24 20 18 18 17 17 16 17 17 18 23 28 35 47 68 102 147 181 188 180 179 196 324 210 99 39 19 15 13 15 26 45
16 16 16 15 15 15 15 15 15 15 16 16 16 16 17 18 19 19 19 20 20 20 19 20 20 20 20 20 21 20 20 20 20 20 21 19 18 18 19 19 19 19 19 18 17 17 17 16 16 15 14 13 12 12 12 12 12 10 9 8 8 8 8 8 7 6 5 4 4 3 3 3 3 3 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 1 2 1 0 0 0 0 0 0 0 0 0 5 14 23 27 17 5 2 13 60 185 332 376 387 389 356 246 87 13 0 3 36 218 657 938 1006 1021 1051 1110 1183 1240 1238 1144 964 771 636 606 618 621 668 741 806 849 836 775 627 455 259 77 11 0 0 1 5 13 23 33 38 39 34 27 20 16 15 16 19 22 25 26 24 24 26 30 35 43 55 73 100 136 162 159 141 127 145 245 185 102 45 20 13 10 9 14 18
15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 17 18 19 19 19 19 19 19 19 20 20 20 21 21 19 20 20 20 21 21 20 19 19 19 19 19 19 19 18 18 17 16 14 14 14 14 13 12 13 11 12 11 10 9 8 8 7 7 7 7 6 5 4 3 3 3 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 0 0 0 1 3 4 2 0 0 0 0 0 0 0 0 0 4 9 12 12 8 2 6 26 70 120 126 101 88 89 83 64 19 0 0 2 30 227 579 834 919 982 1067 1151 1208 1218 1179 1094 970 863 806 797 778 667 643 730 801 811 761 636 379 167 52 10 1 0 0 0 2 8 15 22 26 29 27 23 19 16 16 16 20 27 35 35 33 39 54 55 57 64 75 88 105 129 150 148 136 127 133 154 125 76 41 26 22 23 26 31 26
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13 14 14 13 13 13 14 14 14 14 15 15 15 14 14 14 14 14 14 13 14 14 16 17 18 18 20 21 20 20 19 19 19 21 22 21 19 18 17 18 19 20 20 20 17 16 15 14 13 13 12 12 12 11 10 9 10 10 9 9 8 8 7 6 6 5 5 4 3 3 2 1 1 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 40 56 32 15 7 6 8 13 14 10 8 7 5 2 0 0 1 2 6 16 39 70 77 45 11 1 0 0 0 0 0 0 0 0 6 131 412 748 1008 1137 1117 994 849 758 770 895 1048 1061 1011 885 734 623 598 650 705 672 545 329 79 12 2 0 0 0 1 3 7 10 12 15 18 21 25 28 27 22 15 9 7 15 24 31 36 56 89 104 108 107 104 101 99 103 111 127 147 143 118 86 62 50 51 56 61 71 97 143 138
11 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 12 13 14 16 18 20 20 20 20 19 19 20 21 21 20 19 19 18 17 18 18 18 17 16 16 14 13 13 12 12 11 10 10 9 10 10 9 8 8 8 7 6 6 5 4 4 3 2 1 0 0 0 0 0 0 0 0 7 15 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 2 41 83 91 59 39 35 42 54 63 59 38 26 23 15 5 1 1 5 14 25 42 69 100 67 29 12 7 2 0 0 0 0 0 0 0 0 31 173 449 748 932 916 723 559 525 617 800 972 1032 953 721 535 459 465 492 467 322 215 122 38 8 1 0 0 1 4 8 12 15 15 17 20 22 23 25 23 16 8 3 2 6 12 17 24 57 101 124 117 102 94 92 96 102 108 127 152 149 126 97 75 65 63 58 55 64 89 134 172
9 10 11 11 11 11 11 11 11 12 11 11 11 11 10 9 10 10 9 8 8 9 9 10 10 12 14 16 17 17 18 18 18 18 20 20 19 19 20 19 18 17 18 17 17 16 16 14 13 13 12 12 11 11 10 9 10 10 9 9 8 8 7 7 6 5 4 3 2 1 2 1 0 0 0 0 0 0 0 27 42 33 10 1 0 0 0 0 0 0 0 0 0 0 0 0 5 64 107 114 93 77 78 97 117 107 77 43 32 32 19 6 1 4 16 41 63 75 80 78 50 91 131 87 27 0 0 0 0 0 0 0 0 0 15 126 322 513 613 583 505 485 515 612 718 778 717 447 256 216 226 161 70 47 28 13 5 1 0 0 0 3 8 13 16 16 17 19 19 19 17 14 9 4 2 0 0 1 3 1 7 51 101 125 111 84 78 83 93 102 110 126 149 148 133 115 101 92 79 52 44 53 68 92 122
7 7 8 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 10 8 7 7 7 7 8 9 10 11 12 13 14 16 17 17 18 19 19 18 17 18 18 18 17 17 16 15 15 14 13 12 12 12 11 11 11 9 9 10 10 9 8 8 7 7 6 5 5 2 1 2 5 5 0 0 0 0 0 4 33 85 91 59 19 0 0 0 0 0 0 0 0 0 0 0 0 3 13 107 132 134 120 98 76 82 94 72 41 19 17 23 11 3 1 7 28 65 95 95 79 72 141 370 436 260 86 5 0 0 0 0 0 0 0 0 0 12 80 217 395 547 584 439 300 244 273 315 301 187 92 65 56 37 19 6 2 0 0 0 0 0 0 2 7 12 14 13 15 15 14 11 7 3 1 0 0 0 0 0 0 0 7 55 98 108 87 63 63 76 89 99 109 123 142 145 137 127 113 96 74 49 44 52 61 68 65
6 5 7 8 9 9 9 9 9 8 9 8 8 8 8 8 7 7 9 9 8 8 8 7 7 8 9 8 8 9 10 13 15 16 16 17 17 18 17 17 17 17 17 16 15 15 14 14 13 12 12 11 11 11 11 9 9 10 9 9 8 8 7 7 7 6 5 1 0 0 1 1 0 0 0 0 0 5 33 123 139 92 35 4 0 0 0 0 0 0 0 0 0 0 3 17 73 223 198 172 138 90 41 15 26 22 11 4 6 8 3 1 0 6 26 61 96 91 82 141 340 615 648 368 126 18 0 0 0 0 0 0 0 0 0 0 20 100 259 444 515 287 123 65 60 70 66 45 26 21 25 31 31 17 5 1 0 0 0 0 1 2 5 8 8 7 7 7 5 3 1 0 0 0 0 0 0 0 0 2 15 59 83 75 55 48 58 76 88 98 107 118 128 128 121 113 102 89 72 54 51 54 51 47 40
8 8 8 9 10 10 9 9 8 8 8 7 6 6 7 7 8 8 8 8 8 10 9 8 8 8 8 7 7 7 8 9 11 13 14 14 14 15 15 15 16 16 16 16 16 14 13 13 13 12 12 11 11 11 11 10 10 9 9 8 8 8 7 7 7 7 5 2 0 0 0 0 0 0 0 0 0 0 21 81 124 90 39 8 0 0 0 0 0 0 0 0 0 0 15 67 187 335 327 244 174 97 35 7 12 13 7 2 1 1 0 0 0 2 16 42 70 73 90 225 422 598 602 362 146 60 20 0 0 0 0 0 0 0 0 2 19 72 174 316 368 229 80 45 32 24 15 9 7 11 33 55 48 21 7 1 0 1 2 2 3 5 7 5 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 7 32 60 62 46 37 44 61 84 91 97 104 109 111 108 103 97 91 82 70 61 56 50 34 30 39
13 14 13 13 13 11 9 8 8 8 7 5 5 5 4 5 6 8 7 6 6 7 8 8 8 7 7 6 7 6 7 8 8 10 12 13 13 14 14 15 15 16 16 16 16 15 14 12 12 12 11 11 11 10 10 10 9 8 8 8 8 8 7 7 7 7 4 1 0 0 0 0 0 0 0 0 0 0 6 29 55 50 19 4 0 0 0 0 0 0 0 0 0 2 40 168 312 408 404 301 217 115 39 9 13 15 11 2 0 0 0 0 0 2 14 34 48 50 69 163 269 357 379 315 260 277 217 104 25 0 0 0 0 0 0 9 42 107 171 233 244 181 95 59 34 17 9 7 10 22 61 105 79 32 6 0 0 2 4 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 28 45 37 29 30 42 60 77 81 85 90 92 91 86 80 74 70 66 64 62 48 33 16 20 49
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