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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 1 1 2 2 2 3 3 3 4 4 4 4 3 3 2 2 2 2 3 3 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 2 2 2 2 2 2 2 3 3 4 4 4 3 2 2 1 2 3 3 4 3 3 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 4 4 3 4 4 4 3 4 4 4 5 5 5 5 4 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 7 8 9 9 8 7 6 5 5 6 6 5 5 5 4 4 4 4 3 4 4 6 5 3 2 4 4 7 10 12 -2 -1 4 3 1 2 5 5 6 10 14 13 9 9 15 16 8 7 10 11 6 6 11 12 7 2 4 8 9 12 18 15 5 1 8 11 8 7 5 4 7 8 5 4 3 5 8 9 10 7 1 0 2 5 6 4 3 4 3 4 8 12 14 13 9 5 4 4 4 4 3 3 2 2 2 2 3 3 3 3 3 4 3 4 4 5 4 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 5 5 6 11 22 23 11 6 6 6 6 4 4 4 4 4 4 5 6 6 5 6 6 6 5 5 5 4 -2 -5 2 4 4 4 4 4 3 3 3 3 2 2 2 2 3 2 3 3 4 5 4 4 3 3 3 2 2 1 2 3 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 5 5 6 7 7 7 6 7 8 11 13 15 14 12 9 6 6 7 8 9 10 11 12 13 13 13 13 12 10 8 8 8 7 7 8 5 3 3 1 -4 1 6 5 12 16 9 -0 -5 -4 -2 -9 -18 -20 -20 -16 -7 -2 2 5 6 9 11 12 15 18 18 17 17 14 11 10 9 8 8 8 9 13 18 18 17 18 18 13 9 8 11 17 22 18 10 6 5 5 6 6 7 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 2 2 2 2 2 3 3 4 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 3 2 2 2 2 2 3 3 2 3 3 3 2 3 3 3 4 4 4 3 2 2 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 2 2 2 3 3 4 3 4 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 6 7 8 8 9 9 8 6 5 5 6 6 6 6 6 5 5 5 4 4 3 3 4 5 3 4 6 6 4 8 16 12 -3 1 3 5 2 4 9 5 7 16 25 24 19 17 22 17 11 14 16 10 2 5 10 14 9 3 5 6 6 8 12 11 9 7 8 11 15 10 3 3 6 7 6 4 3 2 2 4 5 4 3 5 5 4 5 5 5 4 4 6 9 12 13 10 6 4 4 3 4 3 3 3 2 2 2 2 2 2 3 3 3 4 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 5 7 15 21 14 6 6 5 3 3 3 4 4 4 4 5 5 5 5 5 5 6 5 5 4 2 -6 -7 -1 2 3 2 3 3 3 3 3 3 3 3 3 2 3 2 3 3 3 4 4 4 3 3 3 2 1 -0 -0 1 2 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 7 7 6 6 7 9 11 12 13 12 10 7 6 6 6 7 8 9 10 11 12 13 13 13 14 14 14 13 14 12 10 9 10 11 9 2 3 5 6 6 8 7 5 4 4 4 6 5 -4 -13 -16 -15 -7 -0 4 4 4 6 8 8 9 11 13 14 14 10 8 8 7 6 6 5 6 11 16 19 19 14 9 7 6 6 8 11 11 11 9 7 6 5 5 6 6 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 3 3 3 2 3 2 2 3 3 4 5 4 4 4 3 3 3 2 2 2 2 3 4 4 4 3 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 5 5 4 3 3 3 3 4 4 4 4 3 3 2 2 2 2 3 3 3 3 4 4 3 4 3 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 5 5 5 6 6 6 7 6 5 5 5 5 6 6 7 8 8 9 9 8 6 5 5 5 5 6 7 7 6 5 5 5 5 3 3 4 2 0 7 12 5 1 7 15 7 -0 2 3 7 11 12 11 8 10 13 9 5 2 -0 1 5 8 14 15 6 1 6 6 9 9 6 9 11 9 13 13 5 8 9 6 6 11 7 2 5 6 5 4 5 5 3 4 4 1 2 6 7 6 4 2 3 5 4 5 10 14 14 11 6 5 4 3 3 3 3 3 3 2 2 2 2 2 3 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 5 10 14 11 6 6 6 4 3 2 2 3 3 4 5 5 5 5 5 5 6 6 5 5 3 -5 -10 -5 -0 1 -1 1 3 4 4 4 4 4 3 3 3 3 3 2 2 2 3 3 3 3 4 3 2 0 -0 -1 0 2 4 5 5 5 5 5 5 6 6 6 6 5 4 4 4 5 6 8 7 7 7 7 8 9 10 11 11 10 8 7 6 7 7 7 8 9 9 9 10 10 10 11 12 13 13 14 15 15 12 8 8 9 7 5 4 4 4 5 5 4 3 4 5 5 5 8 7 4 7 10 13 12 7 3 3 4 5 5 6 7 8 9 9 8 7 7 6 5 4 4 4 8 14 18 16 10 6 5 5 5 7 8 7 7 7 8 7 7 6 6 5 6 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 3 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 5 5 5 4 3 3 3 4 4 3 3 4 4 4 3 3 4 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 5 4 5 4 4 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 5 5 5 6 6 7 8 7 6 5 5 5 6 7 8 8 9 9 10 9 7 5 5 5 5 6 7 7 6 6 5 5 4 4 4 4 -1 -5 1 7 3 -0 3 8 6 5 3 7 6 15 12 4 7 12 6 -11 -18 -13 -13 -12 -1 2 9 11 7 7 8 3 2 5 6 13 16 13 14 14 12 11 8 2 4 6 3 5 10 7 4 4 4 4 5 7 6 3 5 7 8 7 4 2 2 4 6 10 16 18 14 8 5 4 4 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 3 3 3 3 5 13 13 7 4 5 6 5 4 3 3 3 5 5 5 5 5 5 5 5 5 5 5 5 4 0 -7 -7 -0 3 -1 -1 3 4 4 4 4 4 4 4 4 3 3 2 2 2 2 1 1 2 3 3 2 1 1 1 1 3 5 6 6 5 5 5 6 7 8 9 9 7 5 4 4 5 7 7 7 8 8 7 8 9 10 9 9 9 8 7 7 8 8 8 8 8 8 8 7 6 6 7 7 8 9 10 10 12 12 8 6 6 6 5 5 4 3 4 5 4 4 5 7 8 5 6 6 12 23 29 24 12 3 2 2 2 2 3 5 6 7 5 5 6 7 6 6 5 3 2 3 6 10 11 9 6 5 4 4 5 6 7 7 7 7 7 7 7 6 6 5 5 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 2 3 3 3 3 3 4 4 3 3 3 2 2 2 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 4 3 4 4 4 4 4 4 4 4 4 3 4 4 3 3 2 2 1 1 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 5 5 7 8 8 7 5 4 4 5 6 7 7 8 9 10 9 9 8 6 5 4 5 5 7 7 7 6 5 5 5 4 4 4 -0 -8 -8 0 7 5 4 6 5 10 10 7 2 6 7 3 5 10 5 -7 -10 -2 -0 1 1 1 8 10 8 12 6 -1 -6 0 4 10 11 11 11 11 16 15 8 2 2 1 5 10 12 6 2 3 4 4 8 8 7 8 9 9 8 7 6 4 4 4 8 15 20 16 9 5 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 3 3 3 4 14 19 10 4 5 5 5 5 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 -1 -5 -1 5 3 0 2 4 5 4 4 4 4 4 4 4 4 3 3 2 1 1 1 2 3 4 3 2 3 3 4 5 6 7 6 5 5 5 6 8 9 11 11 10 7 5 4 6 8 8 7 7 8 8 8 9 9 9 8 8 8 8 8 8 7 8 7 7 6 6 5 3 2 1 1 2 2 2 3 5 7 8 6 5 4 4 5 5 5 4 5 6 8 10 14 15 13 13 16 19 23 23 14 7 2 0 0 1 1 4 5 6 6 5 4 5 5 5 4 3 2 1 2 3 4 4 3 1 2 3 4 5 5 6 7 7 6 7 8 8 6 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 5 4 3 3 3 3 3 3 3 2 2 2 3 4 4 4 4 4 5 5 3 3 3 3 3 3 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 4 3 3 3 3 4 3 3 4 4 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 1 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 5 6 8 8 7 6 4 4 5 5 7 8 8 9 10 9 8 7 6 5 4 4 5 7 8 8 7 6 5 5 5 4 4 2 -4 -5 4 11 9 8 6 1 9 15 8 2 -0 3 6 6 6 2 -1 4 7 4 5 2 3 11 9 3 4 -0 -0 -2 -1 3 4 0 -1 8 9 10 8 5 2 1 0 4 8 7 5 6 4 4 8 11 8 9 12 10 8 8 8 7 6 5 5 11 17 16 10 6 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 2 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 3 3 3 3 4 11 20 13 6 5 5 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 3 0 -3 -1 2 3 3 4 4 4 4 4 4 4 5 4 4 5 4 3 2 2 2 3 4 4 4 3 3 5 6 6 7 7 6 6 6 6 7 8 10 12 13 12 9 5 4 7 8 7 6 6 8 8 8 8 9 9 8 8 8 8 8 7 7 6 6 6 5 4 2 -0 -4 -6 -7 -5 -6 -5 -2 1 4 7 6 5 5 5 5 6 7 5 5 8 8 11 19 22 21 20 19 16 13 9 6 6 4 2 0 -0 -0 2 4 5 6 5 4 3 3 4 4 3 1 1 2 2 3 3 1 -1 1 3 3 4 5 6 6 6 6 7 8 8 6 4 4 4 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 5 4 3 3 3 4 4 4 4 2 1 1 2 3 4 4 4 4 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 2 2 2 1 1 1 2 2 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 3 2 2 2 1 2 1 2 2 2 2 2 2 2 2 3 2 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 4 4 4 4 3 4 4 5 4 3 3 4 4 7 9 8 7 6 5 5 5 5 6 8 8 9 9 9 8 7 6 5 4 4 5 6 8 8 8 7 6 5 4 5 4 4 1 1 6 9 9 8 2 -5 3 11 9 6 4 3 4 5 4 -1 -2 5 6 6 7 3 4 8 5 -2 -2 -2 3 7 2 3 1 -8 -8 4 5 4 2 3 1 2 3 -3 0 2 3 7 0 1 8 9 7 10 11 7 5 6 7 8 7 5 7 13 15 10 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 3 3 3 3 7 18 16 7 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 3 -0 -5 -4 1 4 4 4 4 4 3 4 5 5 6 6 6 6 5 4 3 3 3 4 4 4 4 4 5 6 7 7 7 6 6 6 6 8 9 12 14 15 13 10 6 6 8 8 6 5 6 6 7 8 8 8 8 8 8 7 8 7 7 6 5 4 3 3 1 -0 -3 -6 -7 -6 -5 -4 -4 -2 2 5 6 6 6 5 6 7 7 6 7 5 5 8 13 18 19 16 14 13 10 9 8 8 8 7 5 3 0 -3 -4 -1 3 6 6 3 2 2 3 4 4 3 4 4 4 5 5 2 1 3 2 0 2 4 5 6 5 5 6 7 8 7 5 5 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan 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 6 5 4 3 3 3 3 4 5 4 4 2 1 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 3 2 2 1 1 1 1 1 2 2 2 3 2 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 3 3 4 5 7 9 8 7 6 6 5 5 5 7 8 8 8 9 8 7 6 6 5 4 4 5 6 8 8 8 7 6 5 5 4 4 4 4 1 0 4 8 7 2 -4 3 11 6 2 2 1 2 5 2 -0 -1 1 4 5 8 7 7 6 2 -1 1 2 4 5 3 5 -0 -10 -4 5 6 5 1 0 -1 3 6 5 4 -2 -1 4 0 0 4 5 6 8 8 7 5 4 5 6 6 6 11 16 13 7 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 5 5 5 3 3 3 5 17 20 10 6 5 5 5 5 6 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 -1 -5 -1 4 4 4 4 3 3 3 5 6 7 8 9 8 7 6 4 4 3 4 4 3 3 4 5 6 7 7 7 6 6 5 7 8 10 13 15 16 13 10 7 7 8 8 5 4 4 5 6 7 7 7 7 7 7 7 7 6 5 4 4 3 1 -0 -2 -3 -2 -1 1 1 1 2 2 2 4 5 5 5 6 7 6 7 6 7 10 8 3 4 8 10 10 8 8 9 9 10 11 12 11 9 7 4 -1 -6 -8 -5 -2 3 5 4 3 2 3 4 4 6 7 6 6 6 7 7 6 4 2 1 2 4 5 5 5 5 5 6 6 6 6 5 4 4 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 7 6 5 4 4 3 3 4 4 5 4 3 2 2 2 3 3 3 3 3 3 4 4 3 4 4 4 5 5 5 4 4 5 6 5 5 4 3 2 2 1 1 1 1 1 1 2 2 2 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 2 3 3 3 3 4 5 6 7 8 8 7 7 7 6 5 6 9 10 8 8 9 8 7 5 5 5 4 5 5 6 7 7 7 6 6 5 5 5 5 5 4 1 -2 2 7 5 4 3 7 11 7 2 2 5 6 4 2 5 4 -0 2 3 6 6 10 10 4 2 2 1 3 7 11 10 -2 -9 1 6 7 11 10 3 1 2 2 4 8 5 5 6 5 2 2 5 9 7 5 6 6 5 4 6 6 10 16 17 10 5 4 4 4 3 3 3 3 3 3 2 2 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 12 22 20 13 9 7 7 7 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 4 4 1 -2 -0 3 4 4 4 3 3 3 4 6 8 9 11 11 10 8 6 4 3 3 4 3 3 5 6 6 6 6 6 6 5 6 7 9 11 14 16 16 13 9 7 8 9 8 5 4 4 5 5 6 6 7 7 7 6 6 5 5 4 3 2 2 1 1 -3 -6 -1 5 5 5 3 4 4 4 4 4 4 5 5 7 9 8 8 10 16 16 9 3 2 5 5 5 6 6 7 9 11 12 11 9 7 5 1 -3 -4 -2 -1 1 3 5 4 3 2 3 5 8 9 9 8 7 9 9 9 6 4 3 3 4 4 4 4 3 4 5 5 6 6 5 5 4 4 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 9 8 7 6 6 6 5 4 3 3 4 5 4 3 3 2 3 3 3 3 2 3 3 3 3 3 3 4 5 5 5 5 5 6 6 7 6 5 5 4 3 2 1 1 1 1 1 1 1 2 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 2 2 2 2 2 3 3 3 2 2 2 3 2 2 3 3 4 4 4 4 5 4 4 4 4 4 5 5 4 5 5 4 3 3 3 3 3 3 3 4 5 5 4 3 3 3 3 3 5 6 6 6 6 7 7 7 6 7 6 6 8 11 11 9 8 9 8 6 5 4 4 4 5 5 6 7 8 7 6 5 5 5 5 5 5 4 2 1 3 6 5 4 6 7 5 4 3 5 11 10 3 2 7 7 1 -1 3 6 6 7 9 6 5 3 2 1 9 15 9 -4 -5 4 7 9 15 16 3 3 1 -0 7 7 3 6 4 6 4 5 8 10 9 5 5 6 5 5 5 7 12 18 14 7 4 4 5 4 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 5 5 5 4 6 15 21 21 18 15 13 11 10 9 8 7 7 6 5 5 5 4 4 4 3 4 6 7 6 5 5 3 2 2 3 4 4 4 3 2 3 4 7 9 11 12 14 13 11 7 4 3 3 3 3 4 5 6 6 5 5 5 5 5 5 7 10 12 14 15 14 11 8 8 8 9 6 5 4 5 5 5 5 5 6 6 6 6 5 4 3 2 2 2 2 2 4 4 0 2 5 5 5 4 4 3 4 5 4 5 6 8 11 14 13 12 12 15 19 16 7 4 5 4 5 5 5 5 5 7 10 10 9 8 7 7 7 7 11 12 7 4 6 6 3 2 4 5 7 9 10 8 8 7 8 8 7 6 4 4 4 4 4 3 2 3 4 5 5 5 5 4 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 9 9 8 7 8 8 7 5 4 3 3 4 4 4 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 5 5 6 7 7 6 6 6 5 4 3 2 2 2 1 1 1 2 2 2 2 3 3 4 3 4 4 3 3 3 3 3 3 4 4 3 3 3 4 3 3 3 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 4 4 4 4 5 4 4 3 3 3 3 4 3 3 4 5 5 5 4 3 3 3 4 6 6 6 6 6 7 7 6 6 7 7 7 9 11 11 10 9 9 7 6 4 4 4 4 4 5 6 7 8 7 6 5 5 5 5 6 6 5 3 2 2 5 6 6 6 4 -1 0 5 5 2 4 5 4 6 7 2 0 4 4 4 5 6 5 5 5 5 8 11 6 3 -3 -0 5 6 10 14 11 0 3 1 4 14 10 4 1 2 4 5 6 8 11 10 7 5 5 6 6 5 7 13 17 11 5 4 4 4 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 4 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 11 17 18 18 18 16 15 13 11 11 10 9 7 6 6 6 5 5 5 7 9 9 8 7 7 6 6 5 4 5 5 5 4 2 2 4 6 9 11 13 15 16 13 8 5 2 3 3 3 4 4 5 5 5 4 4 4 3 3 6 10 12 13 13 11 8 7 8 8 8 6 3 2 3 4 5 5 4 4 4 4 4 3 2 0 0 0 0 1 1 3 9 9 5 4 4 4 5 5 4 6 8 9 10 10 11 14 16 15 13 11 10 12 12 8 6 5 4 4 4 5 4 3 5 7 8 9 10 11 12 15 16 18 18 10 4 6 7 5 5 5 6 6 7 8 7 6 5 5 5 6 6 4 3 3 4 4 2 2 3 5 5 4 4 5 5 4 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 7 7 8 8 9 10 10 8 5 4 3 3 3 3 3 3 4 4 3 2 1 2 3 3 3 3 3 2 3 3 3 4 4 5 6 6 7 7 7 6 5 4 3 3 2 2 2 2 2 3 2 2 2 3 4 3 4 4 3 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 5 5 5 5 5 4 3 4 5 6 5 5 5 6 6 6 6 6 7 8 9 10 12 12 10 9 8 7 5 4 3 3 4 5 6 7 7 7 7 6 5 5 6 5 6 7 6 4 3 2 4 6 7 2 1 0 2 9 11 -0 1 4 1 2 3 2 5 6 -2 -2 4 7 6 5 6 13 21 9 -5 -0 1 4 5 6 11 11 4 3 5 6 10 13 8 5 6 10 8 5 6 9 8 7 7 5 3 8 10 8 10 17 16 8 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 5 4 4 4 5 5 5 5 5 4 4 4 4 5 5 4 4 5 4 4 4 4 4 5 5 4 4 4 3 3 5 7 9 11 13 14 15 14 12 12 13 13 13 11 9 8 8 9 10 10 11 11 12 12 12 10 7 6 6 6 6 6 5 2 2 3 5 9 11 12 14 15 13 8 5 3 3 3 4 3 4 5 5 4 4 5 5 0 -3 1 8 11 11 10 8 7 6 7 8 8 7 3 0 -1 1 2 3 3 3 2 1 2 1 -0 -3 -4 -3 -2 -2 -2 1 7 9 5 4 4 4 5 6 7 9 11 12 13 13 11 9 10 11 8 7 7 7 6 6 6 5 4 4 4 4 4 4 5 5 6 7 9 11 13 16 16 15 13 6 2 5 8 8 7 7 6 6 7 7 6 3 3 4 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 4 6 6 7 7 9 10 9 7 5 4 3 3 3 3 3 4 5 4 3 1 2 3 3 3 3 2 2 2 2 2 3 4 4 5 6 7 7 7 7 6 5 4 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 3 4 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 6 5 5 4 5 5 5 5 5 5 5 5 5 5 6 7 9 11 11 11 12 11 9 8 7 6 5 4 3 3 4 5 6 7 7 7 7 7 7 6 6 6 7 7 6 6 6 5 2 2 4 -0 4 3 5 8 11 3 2 3 -1 -3 0 2 6 5 -3 -3 4 7 7 6 8 16 19 5 -3 3 6 6 6 7 10 8 3 5 5 11 14 9 7 5 9 16 14 5 2 9 9 6 7 4 3 6 10 13 17 19 13 6 4 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 4 4 4 5 5 7 9 9 7 7 9 10 13 14 12 10 10 10 11 11 10 11 12 15 15 11 5 5 7 8 8 6 5 3 3 3 5 7 9 10 11 11 10 8 6 4 4 3 4 4 4 4 4 4 4 8 11 4 -8 -9 2 9 9 8 7 6 5 6 7 8 7 6 3 -1 -3 -3 -2 -1 0 1 -1 -2 -2 -3 -5 -8 -8 -7 -7 -5 -2 4 6 5 4 4 4 6 9 10 10 10 10 9 9 6 4 4 5 5 5 6 6 6 6 6 5 5 4 3 4 4 5 4 5 6 7 8 9 12 15 15 13 11 6 3 5 10 9 8 7 7 6 7 8 6 4 4 4 5 5 5 4 3 3 3 3 4 4 3 4 4 4 3 3 4 4 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 0 1 2 4 5 6 7 8 9 9 7 5 3 3 3 3 3 4 5 5 5 3 2 2 3 3 3 3 3 3 3 2 3 3 3 3 4 5 6 7 7 7 6 5 4 3 3 3 3 3 3 3 3 2 3 3 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 5 5 4 5 5 4 4 4 5 5 5 5 5 6 9 12 15 15 12 10 9 8 7 6 5 4 4 4 4 4 5 6 7 7 7 7 7 8 7 6 6 6 7 6 7 9 9 1 2 5 3 10 4 5 9 10 6 -2 7 4 -3 -1 2 4 4 1 1 4 5 6 7 11 13 9 6 4 4 7 7 7 6 3 2 1 2 4 10 10 7 6 4 7 15 15 6 2 4 6 7 7 5 5 7 8 14 21 17 9 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 4 4 4 3 4 4 5 4 3 4 5 7 10 9 10 8 7 8 9 8 8 10 12 11 7 3 4 6 7 7 6 4 4 4 3 3 6 8 9 9 7 5 6 5 2 2 3 4 5 4 4 4 4 6 11 17 12 -1 -10 -4 6 8 7 6 6 5 5 6 6 8 9 9 5 1 -4 -9 -10 -6 -2 -2 -5 -5 -4 -3 -5 -7 -7 -7 -3 -0 3 4 4 5 5 6 8 12 14 11 9 8 5 4 3 3 4 3 4 5 5 6 6 6 6 6 6 5 4 4 4 4 4 5 6 7 7 8 11 13 14 13 12 10 7 6 8 10 9 8 7 6 6 6 7 7 6 5 6 6 6 6 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 1 1 1 2 3 4 5 6 8 10 9 7 5 4 4 4 4 4 4 6 6 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 4 4 3 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 6 7 11 17 21 17 12 9 8 8 6 5 4 4 4 4 4 4 5 6 7 7 7 7 8 9 7 6 6 6 6 6 5 6 7 3 5 6 8 8 5 1 10 9 12 4 16 10 -1 -1 2 0 4 7 6 4 3 4 7 12 14 7 4 5 5 6 6 8 3 -2 -1 -0 0 5 7 5 4 4 2 3 10 13 7 3 4 3 5 6 6 6 6 7 16 20 12 5 4 4 4 3 2 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 4 3 3 3 4 4 5 6 6 6 7 7 7 8 8 7 5 3 2 3 4 4 4 4 4 4 4 4 3 4 6 7 9 6 1 4 5 -1 -4 -2 2 4 5 4 4 4 6 12 19 16 5 0 -1 4 7 7 6 5 5 4 4 5 6 8 10 12 9 4 -5 -13 -13 -8 -5 -6 -4 -2 0 1 0 1 1 2 3 4 4 5 6 6 7 8 11 13 12 10 7 4 3 4 4 4 4 3 4 5 5 6 6 5 6 6 6 5 4 4 4 4 4 5 6 7 7 9 11 13 12 11 10 8 6 8 9 9 9 9 6 4 4 7 9 8 7 7 7 7 6 5 4 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 3 2 2 3 2 3 5 5 6 8 9 9 6 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 5 5 6 6 6 5 4 3 3 3 3 3 4 3 3 4 4 4 4 5 5 4 4 4 4 4 4 5 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 5 7 8 14 23 25 17 10 7 8 8 7 5 4 4 4 4 4 5 6 6 7 8 8 9 9 8 6 6 6 6 5 5 3 2 4 5 7 6 11 2 7 4 1 -1 8 8 17 13 5 3 4 -1 1 7 7 2 1 3 6 10 11 6 3 6 5 4 6 6 2 -0 2 4 4 5 3 0 2 2 3 1 5 9 6 4 5 5 4 5 6 5 4 10 20 18 8 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 7 9 7 4 3 3 3 3 2 2 3 3 3 4 5 5 4 4 5 9 10 4 3 7 4 -5 -9 -4 2 4 4 3 3 4 8 16 18 6 2 5 5 6 6 6 5 4 3 2 2 3 4 4 8 11 12 7 -4 -10 -7 -2 -1 -2 0 3 4 4 4 5 4 5 5 5 6 7 7 7 4 4 7 8 6 5 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 4 4 4 4 5 5 5 6 8 10 12 12 10 9 7 6 7 9 10 9 9 7 5 7 10 9 7 6 6 7 7 6 4 3 2 2 3 4 5 6 5 4 4 4 4 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 3 4 3 4 4 5 5 6 7 7 7 6 5 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 4 3 4 3 3 3 3 2 2 2 4 5 6 6 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 4 3 3 4 5 7 8 11 18 26 26 16 8 7 8 9 7 5 3 3 4 4 4 6 6 6 7 7 8 10 9 8 6 6 6 5 4 2 1 2 3 4 4 8 15 3 2 11 4 2 4 8 11 10 13 13 8 2 -1 6 5 -1 -1 2 4 7 9 8 4 2 5 10 10 7 4 2 4 8 9 6 -1 -3 1 4 3 1 4 7 6 2 1 4 4 4 5 3 5 14 21 15 6 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 7 9 10 7 4 3 3 3 1 1 2 2 2 3 4 4 4 3 3 6 9 8 6 10 12 4 -6 -10 -5 0 1 1 1 2 5 9 12 8 4 5 5 5 5 4 3 2 1 -1 -4 -3 -0 -2 -3 3 10 12 8 3 4 5 3 -0 -0 2 4 5 3 2 4 6 7 7 9 10 10 7 6 3 2 3 2 3 3 3 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 8 9 10 10 8 6 7 7 8 8 8 8 7 7 9 9 7 6 5 6 7 7 6 4 2 2 2 3 4 5 6 6 5 3 3 3 3 4 4 4 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 4 3 3 4 4 5 5 5 5 5 5 5 6 7 7 5 5 5 5 5 4 3 4 5 5 5 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 2 2 2 3 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 5 4 5 5 4 4 5 4 5 5 5 4 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 5 4 4 4 5 6 7 8 9 14 21 28 25 14 7 8 9 9 7 5 4 2 3 3 5 6 6 6 6 7 8 9 9 8 7 6 6 5 4 1 1 3 2 2 4 13 19 10 -1 9 12 14 6 5 5 3 14 15 9 4 3 9 0 -6 -3 1 4 6 4 2 2 2 8 13 11 9 8 5 4 6 9 7 -2 -2 3 9 8 3 4 6 5 1 -1 2 2 2 3 4 6 16 21 12 5 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 8 11 9 5 4 4 4 3 2 2 2 2 2 3 3 4 4 3 3 5 6 6 10 13 10 4 -7 -10 -6 -4 -4 -4 -2 2 5 7 7 5 5 4 4 3 2 1 0 1 0 -4 -6 -2 -1 -5 -3 4 9 10 8 7 8 5 3 3 4 7 8 6 4 5 9 10 10 10 10 9 9 10 7 3 2 3 3 3 3 3 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 7 7 6 6 6 7 7 6 7 7 8 8 6 6 5 5 5 6 6 6 5 3 2 2 2 4 5 5 5 4 3 2 2 3 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 2 2 3 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 4 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 5 4 5 4 5 5 4 4 4 5 5 5 5 4 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 5 5 6 6 5 4 5 5 6 7 7 8 11 17 25 29 23 12 9 10 10 8 7 5 4 3 2 3 4 5 6 6 6 6 7 9 10 9 8 6 6 5 3 1 2 4 3 3 6 13 14 10 5 6 8 12 9 -1 -3 2 10 7 3 5 9 10 1 -4 -0 2 5 6 2 1 2 3 7 8 4 7 13 11 5 4 6 4 -3 -0 7 14 12 7 4 3 3 2 -0 -2 -1 0 2 4 8 19 20 11 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 6 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 5 9 13 11 6 2 -4 -5 -5 -4 -7 -8 -4 0 3 5 5 5 5 6 4 2 2 3 3 3 2 -1 -1 2 2 1 3 6 7 6 5 6 6 6 7 9 10 11 12 10 10 12 12 11 10 7 5 6 7 6 5 5 5 4 3 3 3 3 4 5 5 4 4 4 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 5 5 4 3 2 3 4 5 5 5 6 6 6 6 6 6 6 5 5 4 5 5 5 7 6 5 4 4 4 4 5 5 5 4 3 2 2 3 4 5 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 1 2 3 3 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 6 6 4 4 5 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 2 3 4 5 6 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 5 5 6 7 7 8 11 15 22 30 30 21 12 10 10 9 7 6 6 4 3 2 3 3 4 6 6 5 6 7 9 10 10 8 7 6 4 1 -0 1 3 5 7 8 6 5 7 6 0 4 14 13 2 -3 8 4 1 -4 3 13 15 8 3 1 2 5 6 6 11 8 1 1 2 2 7 14 11 4 4 3 -2 -3 2 8 13 11 8 4 1 1 2 2 -3 -0 3 4 4 9 20 19 9 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 6 5 6 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 5 6 7 7 7 7 6 5 4 4 4 3 3 3 3 3 3 3 2 2 3 3 3 4 4 8 14 14 8 7 4 2 2 1 -3 -7 -8 -7 -3 2 4 4 5 8 7 3 6 9 7 4 4 4 4 4 5 5 5 5 5 4 3 4 5 6 10 14 13 12 13 14 14 12 9 8 7 6 4 5 6 6 7 6 6 5 3 2 3 4 4 5 5 5 5 5 5 5 6 6 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 3 2 3 4 5 5 5 5 6 5 5 6 6 6 5 5 5 5 5 6 7 7 7 6 5 4 3 5 6 5 4 4 3 2 3 4 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 1 2 3 3 3 4 4 4 4 4 5 7 6 5 5 5 5 4 4 4 5 6 6 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 5 4 3 3 3 2 3 4 5 5 4 4 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 7 7 8 12 17 22 28 34 29 19 14 11 9 6 3 5 7 6 4 3 3 4 4 5 4 4 6 8 9 10 10 9 7 6 2 -1 -1 -0 0 4 8 7 1 -0 4 5 -3 4 16 13 11 5 13 5 -2 -6 2 14 20 16 8 3 3 4 5 9 14 11 3 1 2 4 9 14 9 4 4 0 -4 0 6 10 10 9 7 4 0 1 4 5 4 5 7 5 3 9 20 18 8 5 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 5 6 6 6 7 9 9 8 5 4 4 4 4 3 3 3 3 3 3 3 2 3 2 2 3 4 5 10 15 15 11 6 5 8 6 3 -0 -3 -7 -8 -3 1 1 2 5 6 4 6 11 10 7 5 5 5 5 5 6 5 4 4 4 5 5 5 5 10 14 12 9 9 10 9 7 5 4 5 6 5 6 7 7 7 7 6 5 4 3 3 4 4 5 6 6 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 3 3 4 4 5 5 7 8 5 4 4 4 5 5 5 5 5 6 6 6 5 4 5 5 6 6 7 7 7 5 4 4 5 6 5 4 4 3 3 3 3 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 2 2 2 2 2 3 3 3 4 3 4 5 6 7 7 5 5 4 3 3 3 3 4 5 5 5 4 5 5 4 4 5 5 5 5 5 6 6 5 5 5 4 5 5 4 4 3 3 3 4 4 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 7 8 9 14 22 27 31 35 35 27 19 14 11 8 4 1 2 7 7 6 4 5 5 5 4 4 5 7 9 11 11 11 9 8 5 -0 -1 -0 -1 0 5 8 7 -2 -2 9 9 0 2 7 4 9 5 9 10 2 -3 -0 13 16 14 8 6 5 5 5 11 14 10 5 7 5 4 10 14 7 1 1 0 0 5 9 10 8 7 6 1 -1 2 7 7 7 7 6 3 3 11 21 17 7 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 3 3 3 4 4 5 6 5 5 6 10 13 11 7 3 3 4 4 4 3 3 3 3 3 3 3 2 3 3 2 3 3 5 8 14 16 10 8 10 9 6 5 4 -1 -6 -6 -4 -3 -2 0 1 1 3 8 8 7 5 4 3 4 5 5 5 6 7 7 6 7 9 9 9 9 7 6 5 5 4 3 3 3 4 4 5 6 6 7 7 6 7 7 5 3 3 3 3 4 5 5 6 6 5 5 5 6 6 6 5 5 5 4 4 4 3 3 2 3 4 4 5 6 7 7 5 3 3 4 4 4 4 4 4 5 5 6 5 4 4 4 4 5 6 6 6 6 4 4 5 5 6 6 5 4 3 3 3 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 3 2 2 2 2 3 3 3 3 3 3 4 5 6 7 8 7 5 4 3 2 2 3 3 4 4 4 5 5 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 3 3 3 4 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 6 6 6 7 7 13 28 40 40 39 38 32 23 17 13 9 6 3 -0 0 5 7 6 6 7 7 5 5 6 7 8 11 13 13 12 10 7 1 -1 1 3 2 4 10 7 6 -0 2 13 15 9 3 4 3 1 -1 6 13 10 3 0 8 8 8 6 6 7 6 8 11 9 4 5 10 7 5 8 10 3 -3 -0 5 5 5 8 10 8 6 3 -0 1 6 9 7 6 6 4 1 4 11 19 16 7 4 3 3 3 3 3 4 4 4 3 4 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 5 5 5 5 6 6 5 5 4 4 4 4 5 5 6 6 5 4 5 10 16 16 9 4 3 4 5 5 5 4 4 4 3 3 3 3 3 3 2 2 3 3 4 6 12 12 11 14 12 9 7 6 5 2 -2 -2 -1 -1 1 0 -0 3 4 3 6 5 2 3 4 4 5 6 9 12 12 8 9 11 10 6 4 4 4 3 3 2 2 2 3 3 3 4 4 4 5 6 7 8 9 7 5 4 3 3 3 4 5 6 6 5 5 5 6 5 6 6 5 5 4 4 4 4 4 5 4 4 4 5 5 5 5 5 4 3 3 4 4 4 4 3 3 4 5 5 4 4 3 3 3 4 5 5 5 5 5 4 5 6 6 6 5 3 3 3 4 3 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 3 2 2 2 3 3 3 2 2 3 3 2 2 3 6 10 10 7 5 4 3 2 2 2 3 3 3 3 4 4 4 3 3 5 6 6 6 6 6 6 5 5 4 4 5 5 5 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 6 6 6 7 8 26 45 46 40 39 34 24 16 12 10 7 5 3 1 2 5 7 6 6 8 8 6 5 7 10 12 14 14 14 13 9 2 -3 1 2 1 5 5 8 6 6 5 6 9 15 12 5 8 7 -1 -3 0 8 12 6 3 3 5 8 8 5 7 7 9 9 5 2 4 7 5 3 4 4 1 2 8 12 8 3 5 7 5 2 0 4 8 12 9 6 4 4 4 3 5 9 15 17 9 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 4 4 4 5 6 6 7 8 8 7 5 5 11 20 20 11 5 4 5 6 6 5 5 5 5 4 4 4 3 3 3 3 2 3 2 3 3 4 6 8 11 13 11 8 7 8 7 5 6 5 5 5 4 4 6 3 1 4 5 5 7 6 5 4 3 9 14 12 10 9 8 6 3 2 3 2 2 2 2 2 2 2 3 3 3 3 3 4 5 6 8 10 10 9 6 4 3 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 5 5 5 5 5 4 3 3 3 3 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 3 4 4 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 3 2 2 2 3 3 3 2 1 2 2 1 1 2 5 10 12 9 5 4 3 3 3 2 2 2 2 2 2 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 6 6 7 7 8 13 35 44 28 25 26 21 12 7 6 6 6 6 5 3 3 6 7 6 7 8 8 7 6 7 10 14 16 16 14 11 4 -3 -2 3 5 3 3 3 4 8 11 11 6 3 8 4 1 6 7 2 -1 -2 1 8 9 4 1 7 13 12 7 5 6 7 7 4 4 4 3 2 1 0 0 1 7 15 15 5 -0 1 2 -1 -1 1 9 14 14 8 5 3 3 6 7 6 7 13 19 14 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 1 1 2 3 4 4 4 4 4 4 4 5 6 7 8 8 8 8 8 6 5 11 21 23 13 5 4 6 6 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 2 3 3 3 4 5 7 9 8 6 8 6 7 12 11 7 6 6 6 5 3 3 4 4 7 9 7 5 2 1 6 9 9 8 7 5 4 2 2 2 2 2 2 2 2 2 2 2 3 3 2 3 3 4 5 7 9 10 10 10 7 4 3 3 3 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 3 4 3 4 4 4 4 3 4 4 4 5 4 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 5 4 3 2 3 3 4 3 2 1 1 2 1 0 1 4 9 12 10 6 3 2 3 3 2 1 1 2 2 2 2 2 3 3 3 4 4 5 4 4 5 5 5 4 3 3 3 3 3 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 6 7 7 8 8 10 19 29 26 13 12 12 4 -1 -0 3 4 5 6 4 3 4 6 6 6 7 7 8 8 7 6 8 13 17 17 13 4 -3 -2 3 3 8 11 1 4 7 7 17 15 6 2 5 1 -0 6 6 7 6 1 -1 5 11 9 6 8 12 12 7 4 4 6 7 3 2 5 3 5 2 0 4 4 5 12 10 1 -2 -1 -1 -3 -1 3 10 17 14 7 5 5 5 5 7 6 5 13 20 16 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 3 4 3 4 3 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 1 0 1 4 5 5 5 5 5 5 5 5 7 7 7 8 8 8 7 5 4 9 18 21 13 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 5 5 4 4 4 4 9 10 7 4 5 6 2 0 2 3 2 4 5 4 4 3 1 3 6 6 5 5 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 2 2 3 3 5 6 7 9 10 10 9 6 5 4 4 3 3 4 5 5 6 6 6 5 5 5 4 4 5 4 5 5 4 4 4 4 4 4 4 5 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 5 4 4 4 3 3 4 4 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 5 4 4 3 3 4 3 3 2 1 1 1 1 1 1 3 7 11 11 7 4 3 3 4 3 2 1 1 1 2 2 2 2 2 3 3 3 3 4 4 4 5 5 5 4 3 3 2 2 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 8 9 10 13 20 20 14 14 8 3 -4 -9 -4 2 3 5 5 4 3 3 4 5 6 7 8 8 8 7 6 5 10 17 16 6 -3 -4 2 4 2 7 12 5 9 7 5 13 10 6 7 12 7 4 5 2 7 9 5 1 3 10 14 11 8 9 8 4 2 2 6 8 4 0 5 7 7 4 3 9 5 5 7 5 0 -2 -0 2 0 0 4 11 16 11 6 5 6 5 3 5 6 3 12 21 15 7 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 3 3 4 4 3 3 3 4 4 4 4 4 4 5 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 1 1 3 5 7 7 6 6 6 6 6 6 7 7 6 6 6 6 6 5 4 5 12 16 13 7 4 4 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 4 5 4 1 2 3 2 2 1 1 2 2 3 3 4 5 5 5 5 4 3 2 2 3 3 4 4 4 4 4 4 4 3 2 2 2 3 3 4 5 6 7 8 8 8 7 6 5 5 5 4 5 5 5 5 7 7 7 7 6 5 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 3 3 3 3 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 4 4 4 4 4 4 4 3 3 2 1 1 1 1 1 2 5 9 11 9 5 3 3 3 3 2 2 2 2 2 2 1 1 2 2 2 2 3 3 3 4 4 5 5 5 4 3 3 3 2 2 3 3 2 3 3 4 3 4 3 3 3 4 4 4 4 5 5 5 5 5 6 5 5 4 4 5 4 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 9 11 14 17 18 15 9 15 7 -5 -7 -10 -7 -1 3 4 5 5 3 0 1 3 6 9 11 11 10 9 6 5 9 13 10 -0 -4 -0 2 0 -2 2 8 13 15 4 4 3 5 7 13 16 11 3 2 -0 3 9 8 3 1 4 9 11 9 8 6 3 1 2 5 8 3 -3 -0 5 3 2 4 10 6 6 4 3 3 0 4 7 5 4 7 13 17 8 4 4 4 2 2 6 7 6 12 21 15 7 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 2 2 3 5 7 8 8 6 6 6 7 7 7 7 7 6 6 6 6 5 3 3 6 11 13 9 4 2 2 3 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 4 4 4 4 5 5 4 4 5 5 4 3 1 0 1 2 3 4 5 5 6 5 4 4 3 2 2 3 4 4 5 5 6 6 5 5 4 3 2 2 2 3 3 4 6 6 6 7 8 7 6 6 6 6 7 7 6 6 5 6 6 6 7 7 7 7 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 5 3 3 2 3 3 3 4 4 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 5 5 4 4 4 5 nan 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 5 4 4 4 5 4 4 4 4 3 2 2 1 1 1 2 4 7 9 9 6 4 3 3 3 3 3 3 3 3 3 2 1 1 1 2 1 2 2 3 3 3 4 5 5 5 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 3 3 3 4 4 5 5 5 6 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 7 8 9 11 16 20 20 18 12 6 7 -3 -15 -11 -10 -8 -3 -1 2 5 6 4 -1 -0 2 5 11 16 16 14 12 10 8 9 7 2 -1 1 3 -2 -7 -7 -4 -1 8 10 4 2 1 9 9 9 10 10 9 7 1 1 11 13 7 2 2 4 8 10 8 4 2 2 3 6 7 2 -2 3 6 2 -4 -2 7 9 9 4 2 4 3 7 9 8 7 8 13 19 13 6 4 3 1 3 7 8 8 13 21 16 7 5 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 4 3 2 2 3 5 7 8 8 6 6 6 7 7 7 7 7 7 6 6 6 4 2 2 6 10 10 6 2 2 3 4 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 5 5 4 5 6 5 5 5 6 7 6 5 3 1 0 2 3 3 5 6 6 6 5 4 3 3 3 4 4 5 5 6 6 7 7 6 6 4 2 1 1 2 3 4 5 5 6 7 8 7 6 6 5 6 8 9 8 7 6 5 5 5 5 5 6 6 5 6 6 7 6 5 5 5 6 6 7 7 7 8 9 8 6 4 4 3 3 3 4 4 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 6 5 4 4 4 4 5 5 5 4 4 3 3 2 1 2 2 5 8 8 6 5 4 4 4 4 4 4 5 5 4 3 2 1 2 2 1 1 2 2 2 2 3 4 5 5 4 3 3 3 2 2 2 2 1 2 3 3 3 3 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 5 5 6 7 8 8 10 15 25 27 22 16 5 -3 -9 -21 -25 -14 -7 -5 -3 -1 2 5 6 4 1 1 3 4 10 18 22 20 18 15 11 5 -1 -1 1 5 2 -6 -13 -11 -7 -3 -0 1 9 4 7 12 6 1 2 11 17 10 6 4 10 13 9 6 6 7 7 7 6 3 2 4 5 5 4 3 7 11 11 7 -6 -5 7 12 8 4 2 1 5 5 4 9 11 9 9 17 19 9 3 4 4 5 6 5 7 13 21 17 7 5 4 4 3 3 3 3 3 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 2 3 2 3 5 8 9 7 6 6 6 6 7 7 8 7 7 7 6 6 3 1 2 6 9 9 6 3 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 6 6 6 5 5 5 5 5 4 5 8 9 8 5 3 2 1 2 3 5 7 8 7 6 4 3 3 4 4 4 5 5 6 7 8 9 9 8 6 3 1 0 1 3 4 5 5 5 6 7 6 5 5 4 6 8 9 8 7 6 5 4 4 4 4 4 4 5 5 5 6 7 6 5 4 4 4 5 6 6 8 9 10 9 8 7 7 6 5 4 5 4 4 4 3 3 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 7 5 4 4 5 5 6 5 5 4 4 4 3 2 1 1 3 6 8 7 6 6 6 5 5 4 5 5 6 6 6 4 3 2 2 2 1 1 2 2 2 2 4 4 4 3 3 3 3 4 3 2 1 1 2 2 3 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 4 4 4 5 5 6 5 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 4 4 4 5 4 4 5 4 5 5 5 5 6 6 7 8 8 9 14 27 36 30 20 11 -3 -6 -13 -26 -23 -11 -5 -3 -1 3 6 7 6 4 3 3 4 5 8 16 24 24 21 19 11 -1 -5 1 3 1 -0 -2 -3 -7 -4 4 4 3 6 4 8 11 3 -2 -1 10 17 12 7 4 6 6 6 6 9 11 8 4 2 2 5 7 6 4 3 5 7 5 7 8 -3 -3 12 18 3 2 4 -1 5 7 2 7 12 9 10 19 22 11 2 2 5 6 5 4 6 13 23 18 7 5 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 2 2 4 7 9 9 7 6 6 6 6 7 7 7 7 7 6 6 5 3 1 2 4 8 8 7 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 7 9 10 9 6 4 2 1 2 4 6 8 9 7 5 4 4 4 4 4 4 4 5 7 9 11 11 10 8 4 1 1 1 3 5 5 5 5 6 6 5 5 4 4 4 6 8 8 7 5 4 3 4 4 4 5 5 5 5 5 6 6 6 6 5 4 3 3 4 4 5 6 7 8 8 8 9 8 7 6 5 5 5 5 4 4 3 3 3 3 3 4 4 4 3 4 4 4 5 5 4 4 4 3 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 8 6 6 5 5 6 7 6 5 4 4 4 4 3 1 1 2 4 6 6 6 6 6 6 5 5 4 4 4 5 7 7 6 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 5 4 5 4 4 4 4 4 4 4 5 4 4 5 5 5 4 4 5 5 4 4 4 4 5 5 5 6 7 8 8 9 10 14 26 40 40 23 10 4 -2 4 -5 -17 -15 -9 -5 -3 1 5 7 6 5 4 4 4 4 5 8 12 20 24 24 21 9 -4 -5 3 3 -3 -5 1 4 4 5 7 8 6 -2 -1 7 10 5 3 2 6 14 13 7 7 5 3 4 6 8 10 10 4 -1 2 6 8 6 1 -1 2 4 4 4 3 -0 2 18 20 1 1 5 -1 6 8 3 3 6 6 12 22 21 10 2 2 4 6 6 4 6 12 23 18 6 5 5 3 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 3 3 2 3 5 7 9 9 7 6 6 6 7 7 7 7 7 7 7 6 5 3 1 1 4 6 7 6 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 6 7 7 7 6 6 6 5 4 5 7 9 11 10 7 3 1 1 3 5 8 9 8 6 4 3 3 2 3 3 4 4 6 9 11 13 12 9 5 3 3 3 4 6 6 5 5 6 5 5 5 4 3 3 4 6 8 7 5 3 2 3 3 4 5 5 4 5 5 5 5 6 6 5 5 4 3 3 2 2 3 4 4 5 6 7 7 7 6 5 5 5 4 4 4 4 3 3 2 3 3 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 8 7 7 6 6 6 6 6 5 3 3 4 3 3 2 1 1 2 4 5 6 6 6 6 4 4 3 3 3 3 5 6 6 4 3 2 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 5 4 5 5 4 4 5 5 5 6 7 8 9 10 11 14 22 35 42 31 13 -1 -6 -0 4 -5 -15 -13 -10 -5 -0 4 7 7 6 4 4 5 5 4 6 8 10 15 21 23 20 9 -1 -1 3 3 -2 -6 -2 -1 1 5 7 9 4 -5 -0 8 9 7 9 8 8 13 12 5 7 8 9 6 5 6 8 9 4 0 4 6 6 3 -3 -3 4 11 8 2 -2 1 8 21 14 -1 0 2 -0 6 6 4 5 3 4 14 23 18 8 1 2 5 7 7 7 7 13 21 18 7 5 4 4 4 4 3 3 3 3 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 5 8 10 9 7 6 6 6 6 6 6 7 7 7 7 6 5 3 2 1 2 3 4 4 5 5 5 6 6 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 5 4 4 5 5 5 6 7 7 7 7 6 6 5 5 5 7 11 13 10 5 2 2 2 4 6 9 8 6 4 3 1 1 2 2 3 4 7 9 11 12 11 8 5 4 5 5 6 6 6 6 6 6 5 5 5 4 3 3 2 3 5 6 5 3 2 2 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 2 2 2 2 3 3 3 3 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 8 7 7 7 6 5 5 6 6 4 4 4 4 3 2 2 1 1 1 2 4 6 6 6 4 2 2 3 3 2 1 1 2 4 4 2 2 3 3 3 4 4 3 3 3 3 2 2 2 2 3 4 4 4 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 5 5 4 5 5 5 6 7 9 11 13 16 19 25 29 31 20 7 -6 -13 -10 -19 -23 -20 -13 -7 -1 3 6 8 7 5 4 5 6 5 4 5 7 9 13 19 22 20 8 3 2 1 3 4 1 4 10 9 1 -2 2 -1 -2 3 8 9 11 13 12 13 12 6 2 4 8 9 6 3 5 6 4 4 5 7 6 4 2 -1 1 10 16 14 8 2 -1 8 17 12 4 2 -1 -0 8 7 5 6 5 8 17 24 17 6 1 2 5 7 7 8 8 14 20 15 6 5 4 4 4 4 4 3 3 3 4 3 4 4 4 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 4 4 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 5 7 9 10 9 7 6 6 6 6 6 6 6 6 7 7 7 5 4 2 2 1 1 2 3 4 5 6 7 6 5 4 3 2 1 1 2 3 4 5 5 4 4 4 4 4 4 4 5 5 6 6 7 7 6 6 6 6 6 5 5 8 12 13 9 5 2 2 3 5 7 7 5 3 2 1 1 1 1 2 5 7 9 11 11 9 6 4 4 6 6 6 7 7 7 7 7 6 5 4 4 4 3 2 2 3 4 4 2 2 2 3 3 4 4 5 5 6 5 6 5 5 5 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 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 8 6 5 5 5 5 5 5 6 6 6 4 3 2 1 2 3 4 6 6 5 4 2 1 1 1 1 -0 -1 -1 0 2 2 2 2 2 4 4 5 4 4 4 4 3 3 2 2 3 5 6 6 5 3 2 2 2 2 2 3 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 4 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 4 5 7 8 9 12 15 18 20 19 18 16 14 6 -3 -11 -17 -21 -27 -26 -14 -6 -0 4 6 7 7 6 4 5 6 7 6 5 5 7 10 14 18 18 14 5 0 5 1 4 11 9 8 12 7 4 1 1 0 3 6 8 10 11 11 14 17 13 5 3 5 8 5 3 1 4 3 -2 5 14 13 7 4 3 1 5 12 13 11 11 7 -0 4 12 14 15 10 0 1 7 9 8 7 7 11 17 20 14 5 2 3 4 4 6 7 9 14 19 14 6 4 4 4 5 4 3 3 4 3 3 3 3 4 4 4 3 3 3 3 3 4 3 3 3 4 4 4 4 4 5 4 4 4 5 5 5 5 4 4 5 4 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 8 9 9 8 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 3 2 2 1 2 4 6 7 7 6 4 3 2 1 0 1 2 4 5 5 5 5 4 4 4 3 4 4 5 5 5 6 7 6 6 6 6 7 6 5 6 8 12 12 8 5 3 2 3 4 5 5 4 3 2 2 1 1 2 4 7 9 10 9 7 4 3 4 6 6 6 7 7 7 8 7 7 6 5 4 4 4 2 1 1 3 3 1 0 2 2 2 3 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 3 3 2 1 1 2 2 2 3 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 4 4 5 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 8 9 10 8 5 4 5 5 5 6 7 8 8 6 5 4 3 2 3 5 6 6 5 4 3 1 1 0 1 1 -1 -1 -0 1 3 4 3 2 3 4 5 5 5 5 5 5 4 3 2 2 5 7 7 5 4 3 3 3 2 2 3 3 3 3 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 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 4 5 5 5 9 12 11 14 18 18 16 14 12 6 -1 -6 -11 -12 -14 -13 -11 -8 -1 3 6 8 8 7 6 5 5 5 7 8 7 5 6 10 14 17 16 12 7 0 -3 4 6 8 13 10 8 7 -1 1 1 3 7 12 8 5 4 4 6 13 17 12 6 6 8 7 4 3 1 4 3 -4 6 18 13 6 4 2 0 6 12 7 1 4 7 4 3 8 13 15 11 5 5 3 10 13 14 13 12 13 13 8 4 4 4 3 2 4 6 9 15 20 14 6 4 4 4 5 3 3 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 5 4 4 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 6 8 9 8 7 6 6 6 6 6 6 5 6 6 6 6 5 5 5 4 4 4 3 2 2 3 4 6 6 5 3 2 1 0 1 1 2 5 5 5 5 5 4 4 4 3 3 3 4 5 6 6 6 6 6 6 6 7 6 5 6 9 11 11 9 5 2 1 2 4 4 4 4 4 3 2 2 2 3 5 8 8 7 4 4 4 5 6 6 6 7 7 7 8 8 7 6 5 6 5 4 3 2 2 3 3 1 0 1 1 2 3 3 4 5 5 4 4 4 4 5 4 4 4 5 5 6 6 6 5 5 4 5 6 5 5 4 4 3 2 2 2 2 3 3 3 3 4 3 4 4 4 4 4 4 4 3 3 4 4 4 5 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 8 11 13 13 9 6 5 4 5 6 7 8 8 8 7 5 5 4 3 4 5 6 6 6 5 4 3 1 1 2 2 1 1 2 4 6 5 3 2 4 5 5 6 6 5 5 4 2 2 2 4 5 6 5 5 4 4 4 4 3 3 2 3 3 3 5 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 11 14 13 14 15 12 10 11 12 4 -1 3 7 6 4 5 6 7 9 10 10 9 7 6 6 6 6 7 8 9 8 7 9 15 19 18 13 8 7 4 1 3 10 14 13 6 5 12 13 7 -2 -1 6 12 6 -1 -4 -2 3 10 14 10 6 8 11 6 4 2 7 10 6 0 8 13 8 3 3 3 3 6 6 0 -2 3 8 6 2 6 8 5 3 8 11 2 6 16 20 17 12 10 7 3 4 5 3 2 2 3 5 9 16 19 12 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 2 3 3 3 4 4 4 4 5 4 4 4 4 5 4 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 5 5 5 5 6 7 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 3 3 3 4 5 5 3 1 1 1 0 0 1 3 5 5 5 5 4 4 4 3 3 3 4 5 6 6 6 7 6 7 7 7 7 6 5 6 8 10 10 8 4 2 1 2 3 4 4 4 4 4 4 2 3 4 5 6 4 2 3 5 7 6 6 6 7 6 7 8 8 7 5 5 8 9 7 4 3 4 6 7 6 3 1 1 2 2 2 3 4 4 3 3 3 3 4 4 3 3 3 4 5 5 6 6 5 5 5 6 6 6 6 5 5 3 2 2 2 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 6 9 12 14 13 10 7 7 6 6 8 8 7 7 7 6 6 5 3 4 5 6 7 7 8 7 5 4 3 4 5 5 4 3 4 6 6 3 2 3 4 5 6 6 5 5 4 3 1 2 4 4 4 4 4 5 6 5 4 4 4 3 2 2 3 4 5 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 11 15 13 10 9 9 9 11 13 8 11 30 38 31 25 21 19 17 16 13 10 8 5 5 6 6 6 7 8 9 9 10 13 17 18 15 9 7 8 7 6 9 13 12 6 2 2 8 11 11 9 2 6 7 1 -2 -0 2 5 9 10 8 7 9 10 6 3 3 16 22 12 5 9 12 7 1 2 1 2 3 3 -0 -1 4 8 6 4 3 -0 -0 4 9 13 2 -2 10 23 20 9 3 -0 -0 3 3 4 5 3 3 5 8 15 20 13 6 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 4 4 5 4 5 4 4 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 3 3 4 4 2 1 1 1 1 1 2 3 5 5 4 4 4 3 3 3 2 3 4 5 6 6 6 7 7 7 7 7 6 6 5 5 7 8 8 6 5 3 2 2 3 3 3 3 4 5 4 3 3 3 4 3 2 3 5 7 6 6 7 6 6 6 7 8 6 4 4 9 14 12 7 3 5 10 13 12 7 4 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 4 4 5 5 4 4 5 6 7 6 6 6 5 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 3 3 4 6 9 12 12 12 11 10 9 9 9 8 6 6 5 5 4 4 4 5 5 7 8 9 9 8 6 6 7 7 6 4 3 3 5 5 4 3 3 3 4 5 6 6 5 4 3 2 3 5 5 4 3 3 5 6 5 5 4 4 3 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 7 8 10 13 14 10 7 8 9 10 13 12 9 15 39 44 33 25 22 20 16 13 9 6 5 5 6 7 7 6 7 8 9 11 13 13 14 14 12 10 10 8 3 4 13 14 8 4 2 5 6 4 8 12 7 12 7 4 4 6 8 11 12 8 5 7 10 11 9 5 8 18 23 15 9 7 9 8 3 2 0 -1 2 8 6 6 11 11 10 9 -0 -4 5 12 12 12 6 -1 11 27 17 4 -2 -4 2 4 4 9 10 3 1 5 7 13 21 17 8 5 5 5 4 4 4 5 4 3 3 2 3 4 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 4 5 5 4 5 5 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 7 6 6 6 6 6 6 4 4 4 4 5 3 2 2 2 2 2 3 5 5 5 4 4 4 4 3 3 3 4 4 5 6 6 7 8 8 7 7 6 5 5 4 5 6 6 6 5 5 4 3 2 2 1 1 2 4 5 5 4 2 2 3 3 4 6 8 8 8 7 5 5 6 7 7 6 3 2 6 12 14 10 4 2 7 13 14 12 8 6 6 7 6 5 4 5 4 4 5 4 4 4 5 5 5 4 3 3 2 3 3 3 4 4 5 5 5 6 6 7 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 3 2 2 2 3 7 10 12 14 15 14 11 9 7 5 4 3 3 3 4 4 4 5 6 8 9 9 9 9 9 9 8 5 3 2 3 5 5 4 3 3 3 3 4 5 5 5 5 3 3 5 7 7 4 3 2 4 5 5 5 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 6 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 9 13 13 12 9 7 7 8 9 10 12 7 3 7 15 13 7 5 5 4 4 3 3 3 5 6 7 8 7 6 7 6 9 12 14 12 11 11 12 14 12 8 3 4 11 11 9 7 7 11 3 0 9 10 6 10 6 7 10 8 9 15 15 9 8 10 13 17 19 16 12 10 12 11 11 7 4 5 4 5 3 1 7 9 7 9 13 12 12 8 -1 1 9 10 10 11 15 9 19 26 10 -3 -6 -1 11 14 13 18 16 5 0 4 8 13 20 18 9 6 5 5 4 4 5 5 4 4 3 3 3 4 3 3 3 2 2 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 5 5 4 4 4 5 5 5 5 6 7 7 6 6 6 6 5 5 5 5 5 4 2 1 2 3 4 4 5 5 5 4 4 4 4 4 4 3 3 4 5 6 6 7 8 8 8 7 7 6 5 5 5 5 5 5 5 6 7 6 4 2 1 0 0 2 4 5 5 3 1 2 3 6 8 8 8 8 8 6 5 5 7 8 7 4 1 1 5 9 8 4 -0 2 8 12 11 8 7 7 8 7 5 5 5 5 6 5 5 5 5 5 6 6 6 5 4 3 2 2 3 3 4 4 3 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 2 2 2 4 6 8 11 14 15 14 11 8 5 3 2 2 2 3 4 3 4 5 6 7 7 7 9 10 10 8 5 2 1 3 5 6 6 4 3 2 3 3 4 5 5 4 2 3 7 9 8 5 2 2 4 5 5 5 5 3 2 2 3 3 3 4 5 5 6 5 5 4 4 4 4 5 5 5 4 4 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 6 6 6 6 7 7 6 6 6 6 9 15 13 8 6 6 7 7 8 9 9 3 -6 -4 -15 -21 -18 -14 -10 -7 -2 2 4 5 6 7 8 8 7 7 5 5 9 13 14 12 10 9 8 12 10 11 11 12 12 8 6 4 9 13 3 2 7 4 9 12 8 8 7 6 8 15 14 10 12 11 10 19 20 14 6 2 5 7 6 8 7 5 2 7 7 4 6 5 6 3 1 6 9 4 0 6 12 9 3 7 20 17 23 20 3 -8 -5 6 18 22 20 20 16 7 3 5 7 11 19 19 10 6 5 5 5 5 5 5 4 3 3 3 4 4 4 3 3 3 2 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 4 4 4 5 5 4 4 6 7 6 6 6 6 6 5 4 5 5 3 1 1 2 3 4 4 5 5 4 5 5 4 4 4 5 5 4 4 5 5 6 6 7 7 7 7 6 7 7 6 5 5 5 6 6 7 8 8 7 4 2 1 0 1 3 4 5 4 2 1 3 6 6 4 6 8 8 6 5 5 6 7 6 6 3 -0 -0 3 4 3 0 -0 3 6 6 5 5 6 7 7 6 5 5 5 5 6 5 4 4 4 5 6 6 6 6 6 4 2 3 3 3 3 3 3 3 5 5 6 6 5 4 4 5 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 2 2 2 3 3 4 5 7 9 12 14 13 11 8 5 3 2 2 2 3 3 3 3 3 3 3 4 5 8 9 9 6 3 1 2 4 6 5 4 4 3 3 3 3 4 4 3 2 4 7 10 9 6 4 4 6 6 6 5 4 3 1 2 3 4 3 3 4 4 5 5 5 5 4 4 4 4 5 5 5 4 5 5 5 4 4 5 5 5 4 5 4 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 5 6 5 5 6 6 6 6 6 6 5 7 14 15 7 6 6 6 6 7 10 8 1 -5 -5 -14 -18 -16 -10 -5 1 5 7 7 7 8 8 9 9 9 7 5 7 11 14 12 10 10 7 6 7 6 10 13 16 14 10 5 4 10 13 6 3 -3 -3 9 9 7 6 3 5 8 16 14 12 13 6 4 11 9 2 -3 -2 5 7 3 6 9 7 4 8 11 6 2 -2 -5 -7 -2 6 6 -1 2 10 13 9 2 5 18 23 23 13 -1 -6 -0 9 15 18 17 15 10 6 6 6 6 9 17 20 13 6 5 5 5 5 6 4 3 3 3 4 4 4 4 3 3 3 3 4 4 3 3 3 2 2 3 4 5 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 5 5 4 4 4 5 5 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 5 4 5 5 4 3 2 2 4 5 4 3 4 5 6 6 5 4 5 5 6 5 5 5 5 6 6 6 6 7 6 5 8 8 7 5 3 5 6 7 8 9 9 8 7 4 2 1 1 2 3 5 5 4 2 3 4 3 2 5 6 6 6 6 6 6 6 6 7 5 2 -0 -0 1 2 1 -0 1 3 3 3 3 4 5 5 6 5 5 5 5 5 5 4 4 4 4 5 6 7 7 7 6 5 3 3 4 3 2 2 3 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 2 2 2 2 2 3 3 3 5 5 8 10 11 12 12 11 8 5 3 2 2 3 4 2 1 1 1 2 3 5 6 8 8 6 4 3 3 2 3 4 4 3 2 2 2 3 4 4 4 4 5 8 9 8 7 6 6 6 6 5 4 3 2 2 3 4 4 4 3 3 4 5 5 5 4 4 4 4 4 5 5 4 4 5 5 4 5 5 4 5 5 4 4 4 4 3 3 3 4 4 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 13 15 10 7 6 6 6 8 12 6 -2 2 9 7 4 2 5 7 9 9 9 7 7 9 9 11 12 11 8 7 9 12 12 9 8 8 6 7 6 10 8 5 5 7 10 8 9 11 10 6 -0 -5 0 4 2 5 5 4 3 9 16 10 10 12 10 7 1 -0 1 1 6 15 12 5 5 8 6 6 6 10 7 4 2 -4 -5 2 5 -2 -6 2 11 11 4 1 5 15 25 20 8 1 -1 4 8 10 10 10 9 7 4 5 6 5 9 18 21 12 5 6 5 5 5 5 4 3 3 4 5 5 4 3 3 3 4 4 4 3 3 3 2 2 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 3 4 4 4 5 6 6 6 5 5 4 3 3 4 5 5 5 5 5 6 6 6 5 5 5 6 5 5 5 5 6 4 2 3 5 6 6 6 5 5 6 6 6 5 5 6 6 6 6 5 6 5 7 9 7 6 5 2 3 4 7 9 10 11 10 9 7 5 3 2 2 3 4 5 5 4 3 2 1 2 4 5 5 5 6 6 5 5 6 7 7 5 3 2 2 3 2 1 2 3 4 3 2 2 3 4 4 4 5 5 4 4 4 4 4 4 4 5 5 6 7 7 7 6 5 5 5 4 4 3 3 4 4 5 5 5 4 3 3 3 3 4 5 4 5 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 2 2 2 2 2 3 3 4 4 5 6 7 10 15 17 16 13 8 4 3 4 4 3 1 1 1 1 2 3 4 5 7 8 8 6 3 1 1 3 4 4 2 1 2 3 6 8 7 4 3 4 8 9 8 6 5 5 5 4 4 5 4 3 3 4 5 5 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 6 7 8 8 10 17 15 7 5 6 8 9 9 0 -2 9 19 20 15 11 10 10 9 8 8 8 9 10 11 14 14 11 9 9 9 9 8 8 8 6 4 7 11 16 11 5 4 2 7 10 11 9 6 1 -1 2 4 1 3 8 8 5 3 12 13 6 6 12 14 8 -2 -0 5 8 18 28 22 11 7 8 3 2 6 10 8 6 2 1 8 19 11 -5 -7 1 5 2 -1 2 9 15 20 13 7 4 4 7 9 8 7 6 6 5 4 4 4 5 10 17 15 7 6 7 6 5 5 4 3 4 4 5 5 4 3 3 3 4 4 4 4 4 3 2 1 2 3 4 4 4 4 4 4 5 5 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 5 5 5 5 4 4 3 3 4 5 5 6 6 6 6 5 3 3 4 5 5 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 5 4 3 5 7 6 6 5 5 6 6 6 6 6 6 6 6 6 5 4 4 8 11 7 4 4 3 -0 -1 3 8 11 12 12 11 10 7 5 4 2 3 4 5 5 4 4 3 1 3 4 5 4 5 5 5 5 5 5 7 7 7 6 6 6 5 5 4 3 4 5 5 4 3 3 3 2 2 3 3 4 4 4 5 5 4 4 4 5 5 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 3 2 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 4 4 3 3 2 2 2 3 4 5 5 5 7 12 17 20 19 14 10 6 5 5 4 4 4 5 4 3 3 3 3 4 6 8 8 6 3 2 3 4 4 3 2 2 5 9 11 9 5 1 2 7 10 7 4 3 3 3 3 4 6 6 5 4 4 5 5 4 3 3 3 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 4 4 4 4 5 5 5 5 4 5 5 5 4 4 3 4 5 5 6 7 9 10 10 13 20 17 6 4 9 12 9 -0 -5 3 11 14 13 10 8 7 8 8 8 9 10 11 12 13 14 12 11 9 8 7 7 8 10 10 8 4 5 8 12 17 14 2 -1 7 14 10 5 4 2 4 7 3 -1 3 9 12 9 9 11 8 5 6 13 8 -2 -2 4 7 11 19 23 19 12 6 3 -2 -3 9 15 13 8 -2 -2 14 30 17 -5 -5 2 -1 -5 0 7 14 17 14 9 8 6 7 9 9 8 7 6 5 6 5 5 4 5 8 11 8 7 11 12 8 6 4 4 4 4 5 5 4 3 2 2 3 4 4 4 4 4 3 2 1 2 3 4 5 4 4 4 5 5 5 5 5 5 4 5 4 4 3 3 4 5 5 5 5 5 6 5 5 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 3 3 4 4 5 5 5 6 6 5 4 4 4 5 5 5 5 5 4 5 5 6 6 7 7 7 7 6 6 5 4 4 5 6 6 5 6 5 5 6 6 6 6 6 6 6 6 6 5 5 12 14 8 4 4 3 -2 -4 1 7 11 12 14 14 12 10 8 5 3 3 4 5 5 5 4 4 3 4 5 5 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 6 5 5 5 5 5 5 4 3 2 2 2 2 3 4 4 4 5 5 5 5 5 5 5 6 6 5 5 6 5 5 5 6 6 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 5 5 3 3 2 2 2 3 4 5 5 5 6 10 12 14 15 15 12 9 6 5 5 6 7 7 5 3 2 2 2 4 6 8 9 7 3 3 4 5 4 4 4 7 10 12 9 4 1 3 9 11 7 3 2 2 2 2 2 5 7 7 5 5 6 5 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 6 7 7 9 10 12 13 17 22 15 4 6 13 13 8 0 7 13 11 6 4 5 6 7 8 9 10 11 12 11 13 13 8 7 9 8 7 7 7 8 10 11 10 8 5 3 7 19 11 -4 -1 7 15 10 5 7 6 8 10 5 -0 1 7 14 14 10 4 3 4 7 10 -5 -12 2 9 10 14 16 12 9 7 7 9 6 4 13 15 12 9 2 0 9 18 9 1 1 5 1 -0 8 15 17 14 9 8 8 8 9 10 9 7 6 5 5 6 6 5 4 3 5 6 7 8 14 19 14 6 4 5 5 5 5 4 3 2 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 6 6 5 5 4 4 3 3 4 5 6 6 6 6 6 6 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 6 5 5 5 4 4 4 5 5 6 6 6 5 5 4 4 4 5 5 5 4 4 4 5 5 6 5 5 6 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 6 6 6 7 10 17 15 8 5 5 4 -0 -4 1 7 9 12 13 15 13 12 10 7 5 4 5 5 5 5 5 4 4 5 6 6 4 3 4 4 5 5 5 6 6 6 7 6 7 7 7 7 6 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 5 6 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 7 6 5 4 3 3 3 3 4 4 4 4 4 4 5 5 10 16 19 18 12 7 4 5 7 8 7 5 3 2 1 2 4 8 12 11 7 4 4 4 3 4 6 8 8 7 6 3 1 4 11 13 7 2 1 2 2 1 2 4 7 7 6 6 6 5 3 2 3 4 5 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 4 4 5 6 6 5 5 5 5 6 6 6 5 5 4 4 5 5 7 8 9 11 11 12 15 21 22 12 5 9 15 11 8 17 39 32 19 10 6 6 7 8 10 10 11 11 11 11 12 10 6 8 10 8 8 8 8 8 8 8 8 9 7 7 9 12 6 1 5 8 13 12 9 8 6 12 17 8 -0 1 6 13 12 4 0 2 2 8 7 -8 -10 7 11 13 17 15 9 6 6 10 15 15 14 16 13 8 4 1 -2 -1 2 5 12 11 7 7 7 12 20 19 11 6 6 7 9 10 9 7 6 5 4 3 4 5 4 3 4 5 6 6 8 13 20 17 7 5 5 5 5 4 3 2 3 3 4 4 4 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 5 5 6 6 5 4 4 3 3 4 6 7 6 7 7 7 6 5 5 5 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 5 5 5 4 4 5 6 6 7 7 7 8 10 13 18 18 12 7 5 5 4 3 1 2 4 6 10 12 13 14 14 12 10 7 5 5 5 5 5 5 5 5 5 7 6 4 4 4 5 5 5 4 5 5 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 5 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 7 7 7 6 5 5 5 5 5 5 4 4 4 4 3 3 6 14 23 27 21 9 3 3 6 7 8 6 4 3 2 2 4 7 11 13 10 6 4 3 2 4 6 5 3 2 2 2 2 5 12 12 6 2 1 1 1 1 1 3 5 6 7 8 6 5 3 2 3 4 5 6 6 6 6 6 5 5 5 5 4 4 4 4 5 5 4 5 5 5 5 5 5 4 5 6 7 6 5 5 6 6 6 6 6 6 5 5 5 6 7 8 10 11 10 9 11 16 23 22 11 7 11 11 6 9 29 37 28 19 12 8 7 7 8 9 9 9 10 9 10 11 9 8 10 9 9 12 12 13 12 9 6 5 5 7 11 10 5 5 9 10 6 7 12 11 6 2 11 15 6 3 6 9 10 4 -1 2 3 3 7 6 2 7 12 14 14 15 12 6 4 4 5 7 9 12 13 11 4 -1 1 -2 -9 -2 5 14 17 11 7 5 9 16 15 8 5 4 6 10 10 8 7 6 6 4 4 4 4 3 3 5 6 6 6 7 11 18 17 8 5 5 5 4 3 2 3 3 3 4 5 6 8 9 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 6 6 6 6 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 5 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 6 7 7 8 14 20 20 17 12 7 5 5 4 5 5 5 0 -4 2 7 9 12 14 15 14 12 9 6 5 5 6 5 5 5 5 6 6 5 4 4 5 6 6 5 5 4 5 5 6 6 5 5 6 7 6 5 5 5 5 5 5 5 5 4 4 5 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 4 5 6 7 8 9 9 9 9 8 10 10 9 8 7 4 3 4 4 5 6 9 17 27 27 17 8 5 3 4 7 9 8 6 4 1 0 2 4 8 12 13 12 9 6 3 0 -2 -3 -2 1 2 6 11 13 9 5 4 3 2 1 1 1 1 2 3 5 6 7 6 4 3 4 4 4 5 5 6 6 6 4 5 6 6 5 4 4 5 5 5 5 5 4 4 5 5 5 4 5 6 7 6 5 5 6 5 6 7 6 6 6 6 6 7 8 11 12 9 7 11 18 25 27 17 8 6 3 -6 -2 1 -4 -6 -2 0 2 3 4 5 7 9 10 9 8 8 8 8 5 6 7 6 5 7 10 14 18 16 12 7 4 5 5 14 15 6 4 5 6 5 3 1 -2 -1 0 4 8 10 7 1 -0 4 7 8 10 13 14 13 10 6 2 -1 -0 0 1 -2 -2 -5 -5 0 7 13 14 9 1 2 15 14 0 -1 7 10 9 4 2 14 22 13 -0 -4 -1 6 8 7 9 8 7 7 6 6 6 7 5 4 6 7 6 6 5 6 12 19 18 9 4 3 3 3 4 4 4 3 3 2 2 3 5 6 7 6 6 5 5 5 5 6 6 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 5 4 4 4 5 5 6 6 5 6 6 6 6 5 5 5 6 6 5 4 4 5 5 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 7 8 15 20 17 10 6 4 3 2 1 1 4 7 8 0 -3 1 4 6 10 14 16 16 14 12 9 8 7 6 5 5 6 6 5 5 5 4 5 5 5 5 4 4 5 5 6 6 6 7 7 7 7 7 7 6 5 5 6 6 6 5 5 4 3 5 6 6 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 23 16 10 5 -6 -9 4 20 23 11 7 11 16 14 8 2 5 10 15 23 28 25 15 4 2 18 18 7 2 2 12 19 14 6 2 10 16 18 14 10 8 15 12 8 11 13 15 15 15 15 14 15 16 13 12 12 12 13 11 11 12 15 18 20 17 10 4 2 9 17 18 14 10 7 8 10 12 15 16 15 16 16 17 17 16 15 14 13 11 10 10 11 11 11 11 11 12 12 11 11 11 11 11 11 12 13 13 13 12 11 10 10 10 11 14 15 16 17 17 16 15 13 12 11 11 11 12 12 12 13 14 14 16 18 18 17 15 14 12 11 10 11 12 13 13 15 16 15 13 12 15 22 20 14 12 12 13 13 13 13 12 11 11 10 11 12 12 13 11 10 11 12 12 13 13 14 15 15 16 16 15 12 11 12 13 12 9 8 9 12 14 16 17 16 15 14 11 10 13 17 18 18 18 19 20 16 12 11 12 12 11 10 11 12 13 12 12 13 16 18 18 17 15 13 11 11 11 12 12 11 11 11 10 9 11 13 15 16 15 14 14 15 18 19 19 18 17 16 17 17 14 12 12 13 13 14 13 12 12 12 12 12 11 11 11 10 10 11 12 14 14 14 14 13 12 11 11 11 12 12 12 11 9 7 6 5 6 6 7 9 9 9 10 11 11 11 12 12 12 12 11 11 10 9 9 9 8 8 9 11 11 10 8 6 6 6 5 8 11 11 11 12 11 10 10 10 11 11 11 10 11 11 11 10 10 11 11 12 14 15 16 16 14 13 12 12 12 12 12 12 11 10 9 8 7 8 9 10 11 11 10 10 11 10 11 11 11 13 14 14 14 12 11 12 17 21 19 16 15 14 14 13 11 8 6 6 7 11 13 13 11 11 11 13 15 16 15 17 21 25 27 26 21 18 17 18 16 13 12 11 12 13 14 12 9 10 13 18 18 16 12 12 13 14 13 11 10 10 9 9 10 11 12 12 13 13 13 12 12 11 10 9 9 10 12 15 18 17 15 13 11 10 9 11 11 11 10 8 6 7 9 13 13 12 13 13 12 11 10 9 10 11 11 10 10 11 10 9 10 12 13 12 12 11 12 13 13 11 8 7 8 nan
nan nan nan nan nan nan nan 13 18 9 2 1 8 12 13 7 5 7 11 17 21 24 19 10 3 6 13 22 19 12 10 20 21 1 -4 5 11 15 14 12 9 9 11 11 11 12 12 13 15 17 17 15 15 13 12 12 14 15 14 9 8 9 8 13 20 22 18 13 9 11 13 11 8 8 9 13 16 16 16 15 15 17 18 20 21 17 14 14 12 12 10 10 11 12 12 12 12 12 11 10 11 11 11 12 13 13 14 14 14 14 13 12 11 12 13 13 14 15 16 15 15 14 12 12 12 12 12 12 12 12 12 13 15 15 15 14 12 12 11 11 11 11 12 13 14 15 16 15 14 14 14 16 19 19 17 16 15 14 14 14 14 12 12 11 10 11 12 13 13 13 11 10 10 10 9 10 12 15 16 15 14 13 12 11 12 15 18 15 10 9 12 16 18 15 13 13 13 12 11 13 14 16 17 18 18 18 17 16 15 14 13 14 15 16 16 14 12 11 12 13 14 15 16 17 15 13 12 11 11 11 11 11 10 9 8 9 11 13 14 14 14 13 14 16 17 17 16 15 14 15 16 14 13 14 14 15 15 15 15 14 13 12 12 11 10 10 10 11 12 13 12 12 12 13 12 12 13 14 14 13 11 10 10 10 9 8 8 9 9 9 9 11 11 11 11 11 11 10 10 11 11 10 10 10 10 9 9 8 8 10 11 12 10 6 -0 2 7 9 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 13 15 17 18 16 14 11 10 11 11 10 10 11 10 10 9 8 8 8 8 10 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 15 18 17 15 15 18 17 16 13 8 3 1 5 10 13 13 12 11 10 10 13 14 15 15 15 18 23 30 32 31 27 24 23 18 14 12 12 13 13 14 12 8 7 10 13 16 15 13 14 17 18 17 16 15 13 12 11 10 11 11 11 12 13 13 13 13 11 11 10 12 14 16 18 19 17 15 13 11 10 11 11 11 10 10 10 11 14 17 17 14 12 12 13 12 11 10 9 10 10 10 9 9 10 10 10 11 12 13 12 12 13 13 15 16 14 12 11 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 3 8 15 20 23 20 14 10 11 17 6 8 25 23 16 15 19 13 1 -0 2 8 11 14 14 12 8 5 8 10 11 12 14 15 15 13 12 12 10 9 10 12 15 14 10 8 9 9 12 17 20 20 16 12 11 10 9 8 9 12 14 15 14 14 14 15 16 18 20 20 17 14 12 11 11 11 12 12 13 14 14 14 14 14 13 12 12 13 14 14 14 14 13 14 15 15 14 13 13 13 13 13 13 14 16 15 13 12 12 14 14 14 14 14 13 12 13 14 13 12 11 11 10 11 11 12 14 15 16 16 15 14 13 13 14 16 16 16 16 15 13 12 13 15 16 15 14 14 12 11 12 12 13 14 14 12 9 10 10 10 10 11 15 17 16 15 14 13 12 13 15 19 17 13 12 14 16 16 15 14 13 12 11 9 11 12 14 16 17 17 16 17 16 15 14 14 15 16 16 14 12 12 13 13 13 12 12 13 15 15 13 12 11 11 12 12 10 8 6 6 8 9 10 12 11 11 11 11 13 14 15 15 14 14 15 16 16 16 15 15 14 15 16 16 15 13 12 12 12 10 10 11 13 13 12 12 11 9 10 11 14 15 14 13 12 11 10 9 9 11 12 14 15 15 15 14 13 12 11 11 11 11 10 10 10 11 10 10 10 10 9 8 9 10 11 11 10 9 8 5 6 9 10 11 11 11 10 8 8 8 8 8 9 9 10 10 9 9 9 9 10 10 11 13 14 16 18 16 13 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 12 11 11 11 12 12 12 13 13 12 13 15 16 16 13 15 20 19 13 8 4 -1 -1 7 14 15 14 11 10 10 11 14 14 14 14 14 16 22 29 33 34 30 26 22 19 15 12 12 12 13 13 13 12 11 10 9 12 14 13 13 15 17 15 13 14 14 14 14 12 10 9 10 11 12 13 14 13 12 12 12 14 16 17 16 14 12 12 11 11 11 11 10 9 9 9 11 13 16 15 14 12 12 12 11 9 9 9 10 11 11 10 9 9 9 10 10 11 12 11 11 12 13 15 16 17 17 18 17 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan -0 7 6 -3 11 22 20 11 9 11 21 17 5 3 5 10 14 15 14 10 8 9 11 13 14 15 15 12 9 10 11 9 8 9 13 18 17 13 9 7 8 11 15 17 17 14 11 13 13 13 13 13 12 12 13 12 12 13 12 12 14 17 18 18 14 11 12 12 12 13 13 13 14 15 16 17 17 15 14 14 16 17 15 13 12 12 12 14 15 15 14 13 12 13 13 13 14 16 15 14 14 15 15 16 16 16 16 14 13 14 14 13 11 10 11 12 12 13 14 15 17 18 18 17 15 14 15 15 16 16 15 14 13 13 13 14 16 16 15 15 13 12 12 12 12 13 14 15 11 8 10 12 14 15 16 17 18 17 17 16 14 12 12 13 17 17 14 14 15 15 14 15 16 16 16 14 11 10 10 12 14 16 16 15 15 14 14 15 14 13 14 13 12 12 13 13 13 12 11 10 11 13 14 14 13 13 14 14 12 8 5 4 5 6 8 10 12 11 10 11 11 12 12 12 14 16 15 14 15 15 14 13 13 10 9 11 13 14 14 14 13 11 10 10 12 12 13 12 10 8 8 11 13 15 17 16 14 11 10 10 10 11 11 13 14 15 15 15 13 13 13 12 11 11 11 11 10 11 11 11 10 10 10 9 8 9 10 11 10 6 6 9 12 13 12 12 11 11 11 9 6 6 7 9 9 10 11 10 9 9 9 10 10 10 9 9 11 14 16 17 15 12 9 8 9 9 10 10 10 10 9 10 12 11 10 8 8 9 11 11 12 12 12 12 11 12 12 12 12 13 12 13 14 15 16 17 16 16 12 6 2 3 6 8 13 15 14 14 11 9 11 13 14 14 14 14 13 17 22 28 33 33 27 22 17 15 15 14 13 13 12 11 11 12 12 12 13 13 12 10 9 9 8 7 8 10 10 11 12 11 10 8 8 9 11 12 13 14 14 13 13 14 16 16 14 11 9 10 12 12 12 12 11 9 10 10 11 12 13 12 10 10 11 11 9 9 10 10 11 12 12 11 11 10 10 10 10 11 11 11 12 12 12 13 14 14 16 17 19 19 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 7 15 29 21 8 3 6 10 12 13 11 10 11 14 16 16 16 14 13 13 13 12 11 10 10 11 14 18 19 15 10 8 8 9 12 13 12 9 11 14 14 15 15 14 13 12 11 11 12 12 11 11 13 16 19 19 13 11 11 11 12 12 12 12 13 14 17 19 18 16 14 14 17 16 13 11 10 10 10 12 14 14 13 13 11 13 14 14 15 15 14 14 14 14 14 15 16 16 16 16 15 14 14 14 12 12 13 14 14 15 14 15 16 17 18 18 17 17 17 17 16 14 13 13 13 13 15 16 17 16 15 14 14 13 12 12 12 11 11 12 8 6 7 10 13 14 15 15 15 15 16 16 16 14 12 12 14 16 15 15 15 13 13 15 16 17 16 16 14 13 10 9 11 14 15 15 15 15 15 16 15 14 13 13 14 14 13 12 12 11 11 11 12 12 14 15 16 17 17 17 14 11 9 7 7 9 10 11 13 13 12 12 12 12 12 11 13 16 15 14 13 13 12 11 11 10 8 8 10 13 14 15 14 12 11 10 9 10 11 12 11 9 8 10 12 15 16 16 13 11 11 11 11 12 12 12 12 13 13 13 13 12 12 12 11 11 11 12 12 12 12 13 12 10 9 9 8 9 8 8 8 8 9 10 12 13 12 12 11 11 11 10 8 8 8 9 10 11 11 10 10 9 10 11 12 11 11 11 11 12 15 15 14 11 10 10 9 9 9 9 9 9 10 11 11 10 9 8 8 9 11 12 12 12 12 12 12 12 12 12 13 12 12 14 15 17 17 17 16 12 8 6 6 10 13 15 15 14 13 12 11 10 12 14 15 14 13 14 15 17 22 27 30 28 23 18 15 15 14 14 14 13 12 11 10 10 11 13 15 16 15 12 10 9 8 6 6 10 12 10 11 11 11 11 11 10 11 13 14 15 14 13 13 15 18 18 14 10 10 10 11 12 14 14 14 12 12 14 15 16 13 12 10 11 11 11 10 11 11 10 10 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 13 14 12 12 15 17 16 15 14 12 11 12 13 13 13 12 12 13 14 15 15 16 15 13 11 8 8 9 8 7 8 10 11 12 13 13 13 12 12 11 11 11 10 12 15 18 19 16 11 9 10 10 11 11 11 11 11 12 16 18 16 14 12 13 15 13 10 10 10 11 11 12 14 14 13 13 13 14 15 15 16 15 14 14 14 13 13 13 14 15 15 16 15 14 14 14 15 15 15 15 15 14 14 14 15 15 16 16 17 17 17 16 15 13 13 13 13 13 15 17 17 16 15 15 15 14 13 13 13 12 11 11 7 3 4 6 9 12 13 13 13 13 15 16 18 18 17 15 14 14 15 15 13 12 12 14 15 13 13 14 14 13 11 9 10 12 14 14 14 14 14 15 15 15 14 14 14 14 13 13 12 10 10 12 14 15 16 17 19 20 20 18 16 13 11 11 11 11 12 12 12 11 11 11 10 11 11 12 14 15 15 15 13 12 11 11 10 10 10 9 9 11 12 14 14 13 11 8 7 8 12 14 14 12 10 10 11 12 15 15 13 11 11 12 12 12 12 12 11 11 11 12 11 11 11 11 11 11 11 12 12 12 13 13 12 11 9 8 9 9 8 9 9 10 11 11 12 12 11 11 12 12 12 11 10 10 10 10 10 10 11 11 10 11 11 12 12 12 12 12 12 12 12 13 12 11 11 11 9 9 8 8 8 9 11 11 10 9 8 8 8 10 11 11 12 12 13 14 13 12 13 13 12 13 13 16 19 18 15 13 12 11 10 9 10 14 14 14 12 12 13 13 12 12 12 13 14 13 14 14 15 18 23 29 29 25 21 17 15 14 15 15 15 14 13 13 13 12 12 12 14 15 16 15 14 14 13 12 11 14 18 19 18 16 15 15 16 16 16 17 16 13 12 13 14 16 16 14 9 6 6 7 8 9 10 11 12 10 11 16 19 18 16 14 12 12 13 13 13 12 10 9 9 9 10 10 10 10 9 11 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 12 11 10 9 11 12 11 12 13 15 16 15 15 15 16 17 17 13 9 7 6 8 10 11 10 10 11 13 14 14 13 13 11 10 10 13 16 17 16 11 8 9 9 10 9 9 9 9 9 11 14 15 15 13 12 13 13 12 12 12 13 13 14 14 14 15 14 14 15 16 16 15 15 15 15 14 14 14 13 14 14 14 15 15 14 14 15 15 16 17 17 16 15 14 14 13 14 15 15 15 16 17 16 15 14 14 13 14 15 16 17 17 16 16 15 16 16 15 14 13 15 15 16 14 10 7 5 5 8 11 13 13 13 14 15 15 17 18 18 17 15 15 13 13 12 13 14 12 12 12 12 13 14 16 14 11 12 12 13 13 13 14 14 14 14 16 16 16 16 15 14 13 13 12 12 13 15 19 21 21 22 21 19 17 14 12 9 10 13 14 15 14 12 10 8 8 9 11 11 12 13 13 14 13 12 11 10 8 7 8 8 8 9 10 10 9 10 11 11 10 10 9 13 17 17 16 14 12 10 11 14 15 14 13 13 13 13 12 12 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 13 13 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 12 12 12 12 12 12 10 10 11 11 11 11 11 10 10 9 8 8 9 9 10 10 9 9 9 10 10 10 10 11 12 13 14 14 14 13 14 14 13 12 13 16 18 16 11 8 9 11 11 10 11 13 13 13 12 13 13 13 13 12 12 13 13 13 14 15 17 19 25 30 30 28 23 18 15 14 14 14 15 15 14 15 16 14 12 12 14 14 15 15 14 15 15 14 13 14 17 20 22 21 20 18 17 15 14 14 12 11 12 13 14 11 9 7 6 6 5 6 9 11 10 11 12 11 11 14 17 18 18 16 15 14 13 13 13 12 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
nan nan nan nan nan nan nan nan 4 5 6 6 3 1 0 0 0 0 0 0 0 1 3 5 6 6 6 6 6 6 6 6 5 5 5 6 7 8 10 10 10 10 9 9 8 7 7 7 7 6 6 6 6 7 7 7 7 6 5 3 3 4 5 6 6 5 6 6 6 6 7 8 8 9 9 9 8 9 10 10 11 10 9 8 8 8 8 8 8 8 8 8 8 6 5 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 67 92 62 28 22 22 16 11 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 22 29 34 37 36 34 39 45 52 61 66 62 57 56 55 60 62 62 61 58 52 45 37 29 14 2 4 17 25 25 36 44 50 56 60 61 60 60 59 58 61 64 67 68 67 62 55 49 45 42 38 37 39 40 38 31 22 14 10 6 4 3 2 5 9 14 17 18 20 22 24 24 24 23 23 22 20 16 13 14 14 11 8 12 26 43 59 68 67 72 95 111 110 103 98 94 92 91 87 89 104 108 91 66 47 36 29 32 32 23 13 5 1 0 0 0 0 0 0 0 1 5 4 5 6 10 15 16 10 7 7 10 17 25 34 43 53 62 68 73 79 79 70 70 90 110 112 105 99 97 98 95 87 84 88 91 96 101 107 114 126 135 127 113 120 145 162 156 144 143 144 142 141 134 131 126 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 5 6 6 5 3 1 0 0 0 0 0 0 0 1 3 4 5 6 6 6 6 5 5 5 5 5 5 5 6 8 9 9 10 9 9 8 7 7 7 7 7 6 6 6 6 7 7 7 7 6 5 4 3 4 5 5 6 6 6 6 5 6 6 6 7 7 7 7 8 9 10 11 11 10 9 9 8 8 8 8 8 7 8 7 6 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 3 0 1 2 2 8 35 67 61 28 10 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 15 19 24 25 25 27 32 38 46 54 55 51 48 49 51 49 46 44 41 37 32 27 8 2 0 0 1 14 18 21 33 42 48 52 55 56 57 56 52 50 48 50 58 64 66 64 60 54 48 38 35 34 34 36 30 21 15 10 6 4 2 1 1 2 4 6 8 10 14 17 19 18 17 15 13 11 9 8 9 8 6 6 10 23 43 65 81 84 89 100 102 100 97 90 84 79 78 85 97 113 110 90 67 52 48 44 37 24 7 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 7 7 9 9 11 11 12 18 30 44 58 70 80 90 93 90 100 121 132 127 114 105 106 114 124 133 138 126 121 131 134 124 122 133 139 141 121 127 155 166 157 147 148 149 151 150 142 136 129 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 9 7 7 7 6 4 2 0 0 0 0 0 0 1 1 2 2 4 5 6 6 6 6 6 5 5 5 5 5 5 6 7 8 8 8 8 7 7 7 7 7 7 6 6 5 5 5 6 6 7 7 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 9 10 9 8 8 8 7 6 5 5 5 5 5 4 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 22 16 10 12 15 16 21 34 37 23 8 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 0 0 0 0 0 0 0 2 2 8 8 11 14 19 25 31 43 46 42 38 37 34 29 23 23 23 21 16 10 1 0 0 0 0 6 16 14 18 30 38 44 49 52 53 52 50 45 40 38 41 49 57 61 62 60 54 44 36 31 29 29 27 20 16 13 10 7 5 3 2 3 2 2 3 4 5 7 9 10 10 9 7 6 6 6 6 4 3 3 7 17 37 64 86 92 91 90 85 84 84 84 83 81 83 90 101 109 98 82 69 62 63 70 68 43 22 10 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 10 7 7 16 29 44 62 79 96 107 111 119 131 139 132 118 109 110 124 144 157 156 143 136 150 140 122 115 118 123 134 143 148 160 165 157 149 146 146 145 145 138 128 121 118 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 14 11 8 8 7 6 4 2 1 0 0 0 0 1 2 2 3 3 4 4 5 5 6 7 7 6 5 5 5 5 4 5 5 6 6 6 6 6 6 7 6 6 6 6 6 5 4 4 4 6 6 6 6 7 7 7 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 7 7 7 6 5 4 4 4 4 4 3 3 3 3 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 25 37 31 23 23 30 37 33 22 16 9 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 14 19 20 17 14 11 11 8 5 6 6 5 3 1 0 0 0 0 0 0 7 13 11 15 25 33 40 44 46 47 46 41 36 32 30 32 38 44 50 54 55 50 42 35 29 27 25 23 19 18 17 12 9 7 7 7 6 4 2 2 2 3 3 4 5 6 6 6 6 6 4 2 1 2 5 12 29 54 76 84 81 72 64 64 65 71 81 86 90 92 91 87 76 68 66 67 69 74 79 70 49 31 20 17 17 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 4 1 4 11 23 41 66 94 111 119 120 125 127 122 116 109 109 119 134 142 144 143 135 132 118 109 110 111 113 120 134 149 160 161 157 153 152 144 135 133 128 120 116 118 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 16 13 10 8 7 6 4 2 1 1 1 1 1 3 5 5 6 6 6 5 5 5 5 6 7 7 6 6 6 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 5 4 4 3 4 4 5 5 6 6 6 7 7 7 7 7 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 5 5 4 4 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 30 36 28 25 29 40 47 33 15 9 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 11 8 10 19 26 31 35 38 38 35 31 28 25 23 24 28 32 39 45 49 49 47 42 35 30 29 30 29 24 15 10 9 11 11 8 5 3 1 0 1 2 3 5 7 8 8 9 9 6 3 3 5 7 13 27 46 60 66 64 56 52 49 49 57 69 79 85 79 68 57 49 47 52 60 67 70 72 70 57 43 31 24 23 21 14 7 3 1 0 0 0 0 0 0 0 0 0 1 2 2 2 3 2 1 2 3 7 16 36 68 95 105 108 112 117 118 118 114 113 115 118 122 125 124 112 93 79 83 99 110 112 113 119 134 149 154 154 154 153 143 132 132 130 127 129 133 137 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 18 15 12 9 8 7 4 2 1 2 3 4 4 5 6 7 8 8 8 7 7 6 6 6 6 7 7 7 7 6 5 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 4 3 3 4 4 4 4 4 5 6 6 7 7 6 7 6 6 6 7 7 6 6 6 6 6 6 6 7 7 6 6 6 6 7 8 8 8 8 7 6 5 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 25 32 24 27 35 42 39 24 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 4 2 6 12 16 21 25 26 25 22 21 22 21 20 21 22 25 30 38 47 54 57 53 45 41 42 39 30 15 6 6 9 10 6 4 2 1 0 0 0 1 4 7 10 11 12 12 8 7 8 9 13 22 33 43 47 48 48 45 44 42 41 44 51 58 60 53 41 31 26 26 30 37 45 50 53 53 48 40 31 21 14 13 13 12 8 6 3 1 2 0 0 0 0 0 1 10 11 9 9 11 7 8 9 6 3 4 12 37 71 92 97 101 111 126 133 135 139 137 121 110 114 112 91 61 46 52 74 93 104 110 113 121 134 147 153 154 152 144 137 140 141 140 137 140 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 27 23 18 14 12 10 8 6 3 2 3 4 5 5 5 6 7 8 8 8 8 8 8 7 6 6 6 7 7 7 7 6 5 5 5 5 4 3 4 4 4 5 5 6 6 5 5 5 4 4 3 3 3 2 2 3 4 5 6 6 6 6 7 6 6 6 7 7 6 6 6 6 6 6 7 7 7 6 6 6 6 8 8 9 9 9 8 7 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 0 0 4 22 32 28 32 40 36 25 16 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 6 8 12 15 16 17 17 18 18 19 19 19 19 19 20 26 37 51 62 63 58 51 44 35 24 9 2 3 7 6 2 1 0 0 0 0 1 2 3 6 9 12 14 12 9 8 9 11 17 28 38 43 44 42 41 40 41 42 41 39 37 36 32 26 19 14 11 11 12 14 15 20 24 27 28 27 20 11 6 8 11 13 16 24 27 30 14 2 0 0 3 23 36 35 28 26 44 51 39 30 23 15 8 2 2 10 44 74 85 89 100 120 137 147 157 160 148 130 122 120 99 61 33 28 39 56 79 102 108 111 120 137 150 149 146 141 142 146 147 141 134 129 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 31 29 24 19 15 13 11 9 7 5 5 5 5 5 5 5 6 7 8 8 8 9 10 8 7 7 7 7 7 7 7 6 6 8 9 8 7 7 6 5 4 4 5 6 6 5 5 5 5 5 4 4 3 2 2 2 2 2 3 4 5 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 7 8 9 9 10 9 8 7 7 6 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 6 14 27 32 32 34 37 32 20 13 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 3 5 6 8 10 12 13 14 16 18 18 16 16 16 16 16 16 16 22 33 46 59 66 64 50 34 21 10 2 0 2 5 2 0 0 0 1 2 2 2 3 4 6 8 10 12 9 5 5 5 8 16 29 40 46 46 43 40 40 41 42 42 38 31 24 17 11 7 5 4 2 3 2 1 2 6 9 12 14 12 6 8 15 22 23 27 47 62 66 35 6 0 0 4 37 50 43 35 35 56 76 82 72 55 38 23 12 5 3 19 47 67 72 80 98 120 136 146 158 160 148 136 129 113 88 45 19 19 22 41 67 80 92 107 124 136 135 128 128 138 145 146 141 134 127 116 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 28 30 28 24 20 15 12 11 9 8 7 6 6 5 4 4 5 6 7 7 7 8 10 9 8 8 8 8 8 7 7 6 7 10 12 12 11 10 9 7 6 6 6 7 7 6 5 5 5 5 6 6 4 3 2 2 2 1 2 3 4 4 3 3 4 5 6 6 7 7 7 6 6 6 6 6 6 6 6 6 5 4 3 4 6 8 9 9 9 9 9 8 7 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 6 24 33 30 29 32 33 28 22 18 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 8 11 11 11 16 17 18 20 22 20 16 8 5 8 11 13 13 15 22 35 47 59 69 69 53 25 10 3 0 0 1 2 0 0 0 0 2 4 4 3 4 5 6 7 8 7 3 1 1 2 4 11 25 39 47 48 44 40 40 41 42 41 35 27 20 14 8 3 1 1 0 0 0 1 1 2 4 6 9 11 13 18 26 34 37 40 54 67 67 40 11 1 0 2 17 40 49 42 39 53 71 86 96 91 78 64 47 26 10 8 26 51 58 59 74 93 116 129 142 150 140 126 123 115 107 84 50 26 16 18 28 40 62 88 110 121 119 111 113 126 136 137 135 134 129 119 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 26 28 29 30 27 20 14 11 9 8 9 9 9 8 6 4 4 6 7 7 6 6 7 8 8 8 8 8 8 8 8 9 10 12 14 13 12 11 10 9 8 8 8 8 8 7 6 5 5 5 5 6 6 5 4 3 2 2 2 2 3 2 1 1 1 2 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 3 3 4 5 8 9 10 10 10 10 9 7 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 6 34 40 25 20 25 25 19 16 16 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 14 16 16 14 12 17 22 25 30 31 24 12 3 0 1 8 14 14 16 27 41 52 65 74 66 43 16 3 2 1 0 0 0 0 0 0 2 5 8 9 8 7 8 7 7 8 6 2 0 0 1 2 6 15 30 44 50 48 43 40 40 40 38 29 20 14 10 6 3 0 0 0 0 0 2 3 5 7 9 12 17 23 30 36 42 45 48 53 58 59 45 19 4 1 0 5 25 47 50 48 54 64 72 79 87 96 97 95 74 37 16 20 46 60 59 63 76 102 129 145 143 131 121 114 115 118 114 94 63 37 24 21 26 44 73 98 108 108 101 104 115 123 123 123 124 122 116 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 30 29 28 28 30 30 26 20 14 10 8 8 10 12 13 10 6 4 5 6 6 6 5 5 6 6 6 6 6 8 9 10 11 14 15 16 16 15 14 12 11 10 9 8 8 8 8 8 6 6 6 6 6 6 6 5 4 2 2 2 2 2 2 2 1 1 1 1 2 1 1 2 2 3 4 4 5 5 5 5 6 6 6 5 4 3 3 4 5 6 6 8 8 7 7 6 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 9 3 3 8 10 19 22 18 18 21 19 17 17 15 10 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 0 0 0 0 0 0 0 0 0 0 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 2 1 2 5 12 18 19 17 13 9 13 23 33 39 35 23 9 1 0 1 10 24 25 25 39 53 60 73 73 54 25 5 0 1 1 0 0 0 0 0 1 6 10 13 15 15 14 11 8 8 8 6 2 1 1 1 1 2 6 14 28 44 51 50 45 42 40 37 28 17 9 5 3 0 0 0 0 0 1 4 7 11 14 16 19 23 29 34 38 40 43 45 48 50 48 39 22 9 5 5 7 17 35 45 47 53 60 63 63 67 82 98 111 111 84 51 32 46 72 83 80 85 108 140 166 174 162 138 122 120 126 128 120 100 74 51 40 41 51 68 87 98 102 99 101 107 110 110 110 111 109 106 107 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 28 31 30 29 28 29 29 27 22 14 10 9 11 13 14 13 9 6 6 7 6 5 5 4 4 4 2 2 3 5 8 10 11 12 14 15 16 16 16 15 13 11 9 8 8 8 9 9 9 9 9 9 8 6 5 5 5 3 2 2 2 2 2 2 1 1 0 0 0 0 0 1 1 1 1 1 2 2 4 5 5 5 5 5 4 3 3 3 4 4 5 6 6 7 7 7 7 6 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 23 17 7 10 14 7 4 10 18 22 22 20 18 16 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 14 17 16 13 10 14 17 19 20 15 8 10 24 39 42 33 19 8 0 0 2 21 44 49 50 61 68 70 75 61 35 9 1 0 0 0 0 0 0 0 0 3 8 14 19 23 23 18 12 9 9 12 10 5 2 1 0 0 0 1 4 10 22 37 47 48 46 44 40 29 17 9 5 2 0 0 0 0 1 5 11 16 20 22 24 25 26 27 29 30 31 33 35 36 37 36 31 22 14 9 9 10 14 23 31 34 40 52 61 55 58 72 94 108 112 109 93 59 53 80 106 113 115 125 142 160 178 188 172 147 129 121 121 122 116 101 79 57 51 56 71 85 95 104 102 101 102 101 99 98 98 96 95 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 18 25 29 29 27 24 26 31 33 27 17 12 11 12 12 13 12 10 10 11 10 6 4 3 3 2 1 0 1 2 5 7 9 10 11 11 13 14 15 15 14 12 10 8 8 8 9 10 10 11 11 11 10 8 5 5 4 4 3 2 2 2 2 2 2 1 1 0 0 0 0 0 0 1 1 1 1 1 2 3 4 4 3 2 3 3 3 3 4 4 4 5 5 6 6 7 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 35 29 19 18 14 16 19 11 2 8 19 25 23 20 17 14 9 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 0 0 0 0 0 0 0 0 0 0 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 13 23 31 35 34 28 21 15 15 23 24 20 22 34 45 42 30 17 9 2 0 4 32 58 76 82 84 80 75 66 42 17 3 0 0 0 0 0 0 0 0 0 3 9 15 21 26 25 19 12 8 9 14 16 12 6 2 0 0 0 0 0 1 4 11 20 30 34 36 34 26 16 9 6 3 1 0 0 1 3 10 18 25 28 30 30 30 28 24 21 19 18 19 21 23 24 25 25 22 17 11 8 8 12 18 23 23 24 32 44 48 54 71 93 109 118 124 118 87 63 74 106 132 139 138 134 134 144 163 176 167 144 118 110 116 122 116 95 66 56 63 77 89 99 106 108 106 100 94 90 90 90 89 88 90 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 11 18 24 24 20 18 23 33 37 32 23 15 10 9 10 10 11 13 15 15 10 4 2 2 2 1 1 1 1 1 3 6 7 8 8 8 10 12 13 13 12 11 9 8 8 9 10 10 11 11 12 11 9 6 4 4 4 3 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 1 1 1 1 1 2 2 2 3 3 3 4 3 3 3 4 4 5 5 5 2 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 0 0 42 33 26 23 22 24 27 26 25 21 25 28 24 20 15 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 20 24 30 34 36 25 11 9 21 32 39 47 54 51 38 27 18 12 6 4 9 31 57 82 91 88 79 68 47 21 6 1 0 0 0 0 0 0 0 0 0 1 6 12 17 22 21 16 10 8 9 13 16 16 13 6 2 1 0 0 0 0 0 0 3 6 12 17 20 19 15 11 8 8 7 6 4 4 6 13 21 28 33 35 35 35 32 24 16 11 8 7 8 11 13 16 20 22 20 12 5 4 7 12 16 18 18 22 24 29 39 58 86 108 121 130 127 104 71 59 84 118 137 137 127 118 119 138 160 168 154 126 117 121 120 117 101 76 63 68 80 91 99 105 107 105 97 87 83 85 87 86 84 82 83 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 4 8 13 16 14 11 13 22 34 39 35 24 13 8 7 6 8 11 14 17 15 10 6 4 4 3 2 2 1 1 1 2 4 5 6 6 7 8 10 11 11 11 9 8 8 8 9 10 10 11 11 11 10 8 5 4 3 2 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 3 4 4 4 4 4 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 1 12 29 36 33 32 34 39 44 44 31 28 30 32 26 19 14 9 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 0 0 0 0 0 0 0 0 0 0 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 7 14 17 16 15 15 15 13 5 3 11 25 44 60 61 47 32 22 17 15 11 7 10 23 42 60 69 64 55 44 24 7 1 0 0 0 0 0 0 0 0 0 0 0 2 6 9 13 15 14 11 9 8 8 9 10 11 9 6 3 1 0 0 0 0 0 0 0 2 4 9 12 14 13 12 15 18 20 21 18 15 18 26 32 35 37 38 37 32 26 19 12 6 2 2 4 7 10 15 20 21 14 5 1 1 4 7 11 14 18 20 18 21 38 72 101 112 132 136 123 86 60 69 99 123 130 126 117 117 129 147 159 151 135 127 124 119 116 106 85 71 72 79 86 91 98 103 100 91 80 78 82 86 84 80 76 75 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 1 2 3 5 6 5 4 5 10 19 30 34 31 22 13 8 6 6 7 11 15 18 17 13 10 8 6 3 2 2 1 1 1 2 3 4 4 5 6 7 9 10 9 8 7 7 8 8 9 10 10 11 11 10 8 7 5 4 2 1 1 1 1 2 2 2 2 1 1 2 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 1 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 4 4 21 18 34 45 39 40 45 50 55 58 56 38 31 28 31 27 20 14 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 13 12 11 7 3 0 0 0 1 10 27 47 50 37 26 19 16 16 15 11 10 16 24 31 34 29 22 15 7 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 10 12 12 10 7 3 1 2 2 3 4 4 3 1 0 0 0 0 0 0 0 1 3 6 10 13 15 19 24 32 41 46 46 44 43 46 45 45 44 40 35 29 25 17 10 3 1 2 6 9 12 17 20 17 10 3 0 0 1 4 7 13 19 20 20 29 57 88 105 130 144 144 115 85 80 98 120 134 137 131 125 132 146 151 143 130 122 121 122 120 108 90 77 72 71 74 80 90 99 97 86 74 73 79 81 79 76 74 73 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 1 1 1 1 1 2 4 8 15 22 26 26 21 14 10 9 8 8 11 15 19 18 14 11 8 5 4 3 2 2 2 2 2 3 4 4 4 5 7 8 8 7 6 6 7 8 9 10 10 10 10 10 10 8 7 5 3 1 1 1 1 1 1 1 1 1 2 3 2 1 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 2 25 32 44 60 52 52 58 61 62 63 60 49 35 28 31 28 20 14 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 11 12 12 6 0 0 0 2 9 23 30 26 20 15 13 14 16 16 15 16 16 13 11 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 9 7 4 1 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 2 6 11 15 17 21 29 43 60 74 77 69 64 58 56 52 46 38 31 26 22 16 8 3 2 6 11 14 15 17 17 14 9 3 0 0 1 2 6 13 22 30 38 51 71 92 114 134 146 133 114 107 117 134 142 138 124 118 131 142 142 133 121 113 113 118 117 103 85 72 64 61 62 71 87 96 94 81 66 63 65 66 67 69 72 76 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 0 0 0 0 0 0 0 1 1 3 6 10 14 18 19 17 15 14 13 10 8 9 12 15 14 12 8 6 4 4 3 3 2 2 2 2 2 2 3 4 5 6 7 7 7 6 6 7 8 9 9 10 10 10 10 10 9 8 5 2 1 1 1 1 1 1 1 1 2 4 3 2 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 4 20 32 47 50 51 59 63 62 62 63 62 53 40 35 33 30 21 14 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 18 19 4 0 0 0 2 8 14 15 12 8 4 8 13 17 20 20 17 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 15 19 24 33 52 74 89 88 81 65 56 58 55 47 37 28 22 19 15 8 3 5 12 16 16 15 16 16 14 8 3 1 0 0 1 6 16 31 42 51 63 79 96 114 125 122 116 119 129 138 136 121 103 101 119 134 134 123 111 106 110 114 112 95 78 66 58 59 60 71 87 89 86 73 55 45 43 45 49 54 62 70 76 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 8 12 14 14 15 16 13 8 5 6 10 13 12 9 5 3 3 3 4 4 4 3 1 0 0 1 2 3 4 5 6 7 6 6 6 7 8 8 9 10 10 11 11 10 10 8 5 3 2 2 2 1 1 1 2 3 4 4 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 3 16 34 40 29 49 57 60 62 62 64 64 56 43 38 35 28 20 15 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 11 17 8 1 0 0 0 2 4 5 4 1 0 0 4 10 16 20 20 17 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 4 9 14 21 28 34 50 67 87 102 100 76 56 57 62 58 48 34 24 21 19 15 8 5 10 15 17 15 15 15 16 13 7 4 2 1 2 6 14 22 33 44 56 69 84 95 99 96 94 99 113 122 119 107 96 97 108 121 120 106 92 89 96 105 102 90 77 66 62 60 60 70 85 88 81 65 44 31 27 28 31 36 43 51 59 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 7 10 11 13 15 14 10 7 6 9 12 13 10 6 3 2 2 3 5 6 5 3 1 0 0 0 1 2 3 5 6 6 6 6 6 7 7 8 9 10 10 10 10 10 9 8 6 5 4 3 3 3 3 3 4 4 4 4 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 2 15 34 31 22 51 53 57 62 63 65 65 58 44 39 36 27 20 15 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 8 8 9 8 3 0 0 0 0 0 1 0 0 0 0 0 2 7 13 18 20 19 16 8 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 1 2 2 0 0 0 0 2 7 14 23 32 39 52 65 77 93 104 91 70 65 70 68 56 41 30 26 25 25 19 12 9 12 17 19 18 18 19 19 16 12 9 6 8 12 16 19 23 31 43 57 68 75 78 76 73 75 86 100 103 98 97 106 115 113 100 82 66 62 73 89 94 90 81 72 68 62 56 62 77 82 73 57 38 24 20 20 22 25 29 34 41 nan nan nan 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 1 0 0 0 0 0 0 0 0 0 0 2 5 6 6 6 7 8 10 12 12 11 9 10 11 11 11 11 9 6 3 2 2 3 4 4 3 3 2 1 1 0 0 1 3 4 6 6 7 6 6 6 7 8 8 9 10 10 10 9 8 8 7 5 4 4 4 4 3 3 3 3 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 2 14 31 23 20 47 56 58 62 63 64 63 59 41 38 34 26 18 14 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 12 13 13 13 13 10 5 1 0 0 0 0 0 0 0 0 0 0 0 1 3 8 13 17 20 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 2 5 12 20 30 38 51 62 70 82 95 101 95 91 90 80 64 46 35 32 32 35 33 24 12 11 18 26 28 27 25 23 22 22 18 15 15 18 20 19 18 22 28 37 47 55 60 61 61 64 71 78 82 84 91 105 116 107 86 63 49 47 58 77 89 91 85 78 72 60 49 50 64 72 65 52 36 22 18 17 19 21 24 28 32 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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