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 2 3 3 3 4 5 6 7 8 9 9 8 7 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 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 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 3 3 3 3 4 4 3 3 3 4 4 4 3 3 3 3 4 3 4 4 4 5 5 5 4 4 5 5 4 4 4 5 5 5 5 5 5 5 6 6 5 5 6 8 8 8 7 7 8 9 9 9 8 8 9 9 8 8 8 8 7 4 4 4 4 5 5 5 3 3 4 5 9 9 7 5 6 4 7 5 10 8 8 8 1 -1 4 7 4 1 3 2 1 5 9 3 0 4 5 -3 1 9 10 14 17 13 7 4 8 16 12 5 5 10 11 8 5 3 2 4 10 11 8 6 9 9 5 7 6 -1 1 6 7 10 11 9 8 10 16 24 29 29 21 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 5 5 7 7 8 8 10 11 12 13 16 23 31 24 11 7 6 4 3 3 4 6 5 2 3 5 6 7 5 4 5 5 4 5 5 2 -2 -4 2 4 4 4 4 5 4 5 4 4 3 2 1 1 2 1 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 4 4 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 3 2 2 2 2 2 2 4 6 9 12 15 14 12 11 12 13 13 18 23 17 12 9 10 6 -0 -0 -3 -1 -6 -2 2 -1 1 4 4 3 2 4 5 1 -4 -4 -5 -7 -5 -1 5 8 9 10 11 11 13 16 16 16 13 11 10 9 9 9 10 11 12 14 18 19 18 16 16 17 21 20 13 8 5 3 3 4 5 4 3 2 2 3 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 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 1 1 2 2 2 2 3 4 5 5 6 8 9 9 9 8 7 6 5 5 4 4 4 4 5 4 4 3 3 3 4 4 4 5 4 4 5 4 4 4 4 4 4 3 4 4 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 4 3 3 3 3 4 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 7 8 8 7 7 8 10 11 11 9 9 10 10 9 8 8 7 6 5 4 4 4 4 5 4 3 4 6 7 10 11 10 7 7 7 7 7 7 7 14 10 3 -3 -2 3 4 0 2 0 -7 -6 2 3 2 1 -1 -7 0 6 9 14 15 12 8 7 9 13 10 8 9 9 9 11 10 4 1 4 9 9 8 11 11 6 3 5 1 -1 6 9 7 10 11 9 7 12 21 26 26 22 12 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 2 2 3 3 3 3 3 4 3 4 4 4 4 5 4 5 6 7 7 8 9 11 13 13 13 16 24 24 15 9 7 5 5 5 5 5 3 2 4 5 5 5 4 4 5 6 5 5 4 -0 -7 -6 1 2 1 1 3 4 4 5 5 5 4 3 2 2 2 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 2 2 1 2 2 2 1 1 1 1 2 1 1 2 2 2 2 3 2 2 2 2 1 2 5 10 15 18 18 18 15 11 11 11 10 9 11 17 19 18 14 13 12 8 6 5 4 3 2 3 4 5 4 4 6 6 5 5 5 4 2 1 -1 -3 -2 2 6 8 9 9 7 7 7 9 11 12 10 9 9 7 8 8 9 9 11 13 16 20 22 18 10 10 10 7 5 4 4 4 5 5 4 3 2 2 3 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 nan nan nan nan nan nan nan 2 1 2 2 1 2 2 3 4 4 4 5 6 7 8 9 8 7 6 5 5 4 4 4 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 4 4 5 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 3 4 4 4 4 4 4 3 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 4 5 5 5 5 5 4 3 4 6 7 7 6 6 8 10 12 12 11 10 10 10 9 8 7 7 6 5 5 4 3 4 4 4 4 4 6 10 13 13 9 8 8 6 2 4 4 7 12 6 3 -4 -7 -7 -2 5 13 11 2 -1 4 8 4 -0 -5 -3 3 4 9 13 14 11 8 10 12 10 9 10 9 6 4 9 9 5 3 4 7 8 8 8 7 6 2 0 3 9 11 6 5 6 6 5 5 11 20 25 22 13 5 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 5 5 5 5 6 6 6 8 9 11 13 14 13 14 19 19 14 10 9 9 8 8 6 5 5 6 7 7 6 5 5 4 4 5 5 4 4 2 -10 -15 -4 1 -2 -6 -1 2 3 4 4 5 5 5 4 3 3 2 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 4 9 17 24 23 19 15 11 8 8 9 8 7 6 9 15 17 16 13 8 6 4 2 1 4 5 6 7 6 4 5 6 6 5 4 6 7 6 6 4 2 2 3 5 7 8 7 5 4 3 4 7 9 9 9 8 8 8 8 8 8 8 9 11 14 17 13 9 7 5 5 5 4 4 5 6 6 5 3 1 1 2 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 nan nan nan nan nan nan nan 3 2 2 2 1 1 2 3 3 3 3 3 4 5 6 7 8 7 6 6 6 5 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 3 3 4 4 4 4 4 3 3 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 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 4 4 3 4 4 7 8 7 5 6 9 11 12 11 10 9 9 9 8 7 7 6 5 4 3 4 4 4 5 4 4 5 6 9 11 7 6 6 4 -3 -3 3 6 5 2 1 -2 -4 -6 -3 8 17 17 17 14 10 8 5 -1 -6 1 6 6 10 12 11 9 9 11 10 8 12 12 8 6 3 2 4 7 7 4 2 4 6 4 4 7 4 3 10 14 10 6 6 4 3 4 6 15 23 22 13 6 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 6 6 6 7 8 11 13 14 13 14 18 15 9 8 9 10 10 9 7 5 7 8 9 9 9 7 6 5 5 4 4 3 3 5 -3 -15 -11 0 1 -6 -5 0 3 3 3 3 4 4 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 1 1 1 1 1 1 0 1 1 1 3 5 8 14 21 24 20 14 9 7 6 6 6 6 5 5 6 9 12 14 13 7 3 3 2 0 1 4 6 7 6 6 6 5 5 5 5 7 5 5 6 6 5 6 6 6 6 6 5 4 3 2 3 5 7 8 9 8 8 8 8 8 8 7 6 7 9 10 9 7 7 6 6 6 5 5 5 6 6 5 2 -0 -0 2 4 4 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 nan
nan nan nan nan nan nan nan nan 6 5 3 2 1 1 2 3 3 3 3 3 3 3 4 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 4 3 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 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 3 3 3 3 4 4 4 4 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 3 3 4 5 7 7 5 4 6 9 11 11 10 9 9 8 7 7 7 6 5 4 4 4 4 5 5 5 4 3 0 1 6 7 6 7 6 -0 -1 3 3 3 4 6 7 4 2 1 6 7 6 8 11 10 5 2 0 -1 6 6 3 6 9 7 8 9 9 7 4 4 4 5 7 7 2 2 6 7 2 -4 -6 -2 1 6 8 7 11 14 13 10 8 6 4 3 5 11 20 22 14 6 4 3 3 3 3 4 3 3 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 6 6 7 9 12 13 13 13 19 19 8 5 6 7 7 8 7 6 6 8 9 9 8 7 6 6 5 6 5 3 2 3 2 -6 -13 -6 7 5 -2 -0 2 2 3 3 3 4 4 4 4 3 4 3 3 2 2 2 3 3 3 3 2 3 3 3 3 4 3 3 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 1 1 1 -0 0 0 -0 0 2 4 9 11 13 14 17 16 11 6 5 5 5 4 4 2 0 1 2 3 6 9 11 9 5 3 3 3 3 5 6 6 6 7 9 9 8 6 6 8 7 7 7 7 7 8 6 5 4 3 3 3 3 2 3 5 6 8 8 8 8 8 9 9 9 7 6 6 7 8 7 6 7 7 6 7 6 5 5 6 6 3 1 -1 -1 1 5 6 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 nan nan nan nan nan
nan nan nan nan nan nan nan 11 11 9 6 3 1 1 2 3 3 3 3 3 2 2 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 3 3 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 2 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 3 3 3 3 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 4 5 4 4 5 4 4 4 4 4 4 4 3 3 2 3 4 5 6 5 4 5 7 10 10 10 9 9 9 7 7 7 6 5 4 4 4 5 5 5 5 5 4 1 2 6 6 4 8 7 1 2 3 1 3 7 11 12 8 4 5 8 6 3 4 8 10 7 5 6 7 8 3 1 3 5 7 8 6 5 4 2 -2 -4 -0 5 9 6 5 4 0 3 5 -3 -2 6 11 9 11 15 13 12 10 7 4 3 5 7 13 17 13 6 4 4 3 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 5 5 5 6 6 6 6 6 6 6 6 7 9 11 12 13 18 20 11 4 5 5 6 6 6 6 5 6 8 8 7 6 6 5 6 8 8 6 4 3 4 1 -7 -10 -1 6 3 1 1 2 3 3 3 3 4 3 4 4 4 3 3 2 2 3 3 2 2 2 3 2 2 2 3 3 4 4 3 3 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 1 0 0 1 0 1 5 10 15 16 13 11 10 7 4 3 4 5 5 3 1 -3 -6 -5 -4 -3 1 5 8 9 8 6 5 5 6 6 6 4 5 10 10 9 11 11 8 8 10 9 8 7 7 7 6 5 3 2 1 2 3 3 3 5 6 7 7 7 8 9 9 10 9 8 7 6 7 8 8 7 6 5 6 6 6 5 6 5 5 2 -1 -1 -0 1 5 10 10 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 11 12 12 10 5 3 2 2 3 3 3 4 4 3 2 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 4 4 4 4 4 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 3 2 3 4 5 6 5 4 5 7 9 10 10 10 10 9 8 7 6 6 5 4 4 5 5 5 6 6 6 5 5 7 10 7 2 4 2 -3 -3 -2 2 8 8 7 6 5 4 9 11 7 8 12 12 12 12 11 10 10 8 2 3 2 1 4 5 2 4 6 4 4 -1 -1 0 5 7 3 3 1 8 13 2 -0 9 9 10 11 11 9 7 7 6 4 4 5 8 14 13 7 4 4 4 3 3 3 4 3 3 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 3 3 4 3 3 4 5 5 5 6 6 6 6 7 6 6 6 5 5 7 9 11 12 15 21 14 5 4 5 6 6 7 6 5 5 6 7 7 6 5 5 6 7 9 8 6 5 4 4 1 -5 -11 -5 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 2 2 2 2 2 2 1 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 4 8 14 17 14 10 7 5 4 2 3 4 5 5 4 1 -2 -5 -6 -3 -3 -1 3 7 8 7 7 7 6 7 6 5 5 3 5 6 7 9 10 9 9 10 9 7 7 7 6 6 5 3 1 0 -1 1 2 4 5 6 6 7 7 7 8 9 10 10 9 7 6 5 6 8 8 6 5 4 4 4 5 6 6 4 2 0 1 1 2 5 12 14 8 3 nan nan nan nan nan nan nan nan nan nan 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 10 11 10 9 6 4 4 3 3 3 4 4 4 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 3 3 3 3 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 4 4 4 4 4 3 4 4 4 3 4 4 3 4 5 4 4 3 4 4 3 3 4 5 6 6 5 5 5 4 4 5 4 4 4 3 3 3 4 5 5 6 4 5 6 8 9 10 10 9 10 9 8 6 5 5 5 5 5 5 5 6 6 6 5 5 6 9 10 8 5 -1 -5 -3 1 5 6 6 3 2 4 8 13 10 6 10 14 15 13 13 11 8 7 4 3 5 1 -2 -2 -0 -1 5 12 12 12 8 3 -1 2 5 9 8 -0 1 9 4 1 7 10 8 9 10 8 5 4 4 4 5 7 13 17 11 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 6 6 6 6 6 6 6 5 5 5 7 8 11 13 22 21 9 5 4 5 7 6 6 6 5 5 7 8 8 6 5 5 5 7 8 7 6 5 4 4 2 -6 -9 -1 4 4 4 4 4 5 5 4 4 4 5 6 5 4 3 4 5 6 5 4 3 2 2 2 1 -0 -1 -0 0 2 2 1 1 2 2 2 2 2 1 2 1 2 2 3 3 3 3 2 2 2 4 7 11 13 12 9 6 4 4 4 4 4 4 3 4 6 5 3 2 1 2 2 1 2 5 6 4 5 6 6 6 6 6 7 5 0 -1 3 6 7 8 10 10 9 8 7 6 6 5 5 4 3 1 -4 -4 -0 4 5 6 6 6 6 6 7 8 9 9 8 5 2 -0 1 3 5 6 6 4 3 3 5 6 6 4 2 1 2 3 3 5 10 13 8 3 nan nan nan nan nan nan nan nan nan nan 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 8 7 8 9 8 6 5 4 3 3 3 4 5 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 3 3 3 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 4 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 4 4 3 3 4 4 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 4 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 5 4 4 5 6 8 8 9 9 10 9 8 7 5 4 5 5 5 5 5 6 7 6 5 4 4 5 8 12 8 3 1 3 8 8 6 5 5 6 7 13 17 9 5 8 9 13 12 11 9 9 6 2 1 2 2 1 -1 -2 -1 6 14 13 10 12 8 4 2 1 2 6 6 6 7 8 4 9 17 15 10 9 7 5 3 4 5 7 11 17 16 8 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 5 6 8 10 20 29 23 13 9 6 6 6 6 5 5 4 5 7 8 7 6 5 4 5 6 7 6 5 4 4 5 1 -6 -3 4 5 5 5 6 6 6 6 5 5 6 6 6 5 5 6 7 9 9 7 5 2 3 5 4 2 -0 -2 -4 -3 -1 -0 1 2 4 5 4 4 3 2 2 2 2 2 2 2 3 2 2 2 6 11 12 10 7 5 4 4 5 5 5 5 6 4 1 4 7 5 5 5 4 3 3 2 3 4 4 4 4 6 6 5 6 10 10 4 -1 1 4 6 7 9 11 10 9 8 7 6 5 5 4 5 6 2 -1 -3 -0 5 7 7 6 5 5 6 6 6 5 4 2 -2 -5 -6 -3 1 4 7 6 4 3 3 5 5 2 0 1 3 5 3 3 7 9 7 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 1 3 5 5 6 7 7 7 6 5 4 4 4 4 5 5 5 4 3 3 3 2 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 4 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 3 3 3 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 4 4 3 2 2 3 3 4 4 3 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 4 3 4 5 5 5 4 4 5 5 5 5 5 5 4 4 3 3 4 5 6 5 4 3 2 4 5 6 7 9 9 9 9 7 6 5 5 6 6 5 6 6 6 6 6 4 3 3 5 7 7 7 7 5 5 8 10 14 17 14 9 11 15 12 9 8 8 12 10 6 8 11 9 3 0 3 5 4 3 -2 -0 6 12 9 7 7 4 5 1 2 5 4 7 10 3 4 1 8 18 22 16 10 5 2 1 3 6 8 13 17 12 5 4 4 4 3 4 3 3 3 3 4 4 4 4 3 3 3 3 2 3 3 3 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 5 6 11 22 29 26 21 17 13 12 11 9 7 6 5 5 5 6 6 5 4 5 5 5 5 5 5 4 5 4 -2 -1 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 8 10 12 13 11 7 3 3 8 11 11 7 1 -4 -5 -2 -1 2 5 8 11 11 9 7 4 3 1 2 2 2 2 2 2 2 3 8 13 11 6 4 4 4 4 5 5 5 5 10 13 6 4 5 5 5 5 5 4 4 3 3 5 6 6 7 9 8 6 6 9 13 10 4 3 5 6 7 9 11 11 10 9 8 6 5 5 4 7 11 11 9 5 1 5 8 8 6 5 5 5 5 4 3 1 -2 -5 -7 -7 -5 -0 4 7 8 6 4 3 3 3 1 -1 -0 3 5 4 4 6 6 6 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 -1 1 2 3 4 5 6 6 6 6 5 5 4 4 5 5 5 4 3 3 3 3 4 3 3 4 4 4 5 5 4 4 4 3 4 4 3 3 3 3 3 3 4 4 4 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 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 3 2 2 3 4 4 3 3 3 3 4 4 4 5 4 4 4 5 5 4 4 5 5 5 4 4 4 5 5 4 4 4 4 4 5 5 5 4 4 4 3 3 3 4 5 5 4 2 1 2 3 5 6 7 9 9 8 7 7 6 5 5 6 6 6 6 7 7 6 5 3 3 3 4 3 5 6 3 3 9 13 15 15 11 7 8 13 14 11 9 10 11 8 3 5 8 10 8 6 7 5 5 5 -1 -1 3 7 5 5 5 3 4 0 6 17 9 8 0 -6 -4 -1 6 13 18 15 9 4 2 3 5 5 7 13 15 8 4 4 3 3 4 3 3 4 3 3 3 4 4 4 4 3 2 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 9 17 23 25 25 24 22 19 17 16 16 13 9 7 5 5 5 5 6 6 6 7 7 7 6 6 5 3 2 4 5 5 5 5 6 6 6 7 7 6 6 5 5 7 9 12 16 18 16 10 4 4 9 15 17 14 6 -0 -2 -1 1 3 7 13 17 19 18 16 13 7 4 2 2 2 2 2 1 1 3 8 10 6 4 5 4 4 4 4 4 4 4 8 16 14 6 5 5 4 5 6 5 5 6 7 7 8 9 10 12 11 8 7 7 8 8 6 5 5 5 6 8 10 11 12 11 9 7 5 5 5 6 10 11 9 8 6 5 7 9 8 6 5 4 4 3 1 -1 -3 -4 -5 -3 -1 3 7 9 8 6 5 4 4 3 0 -2 -1 2 4 4 5 6 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 1 1 1 2 3 5 5 6 6 7 5 5 5 5 5 6 5 4 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 3 3 3 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 5 5 5 4 4 4 5 5 4 4 5 5 5 5 5 4 4 3 2 2 2 3 4 4 4 3 2 1 2 4 5 6 8 9 8 7 7 7 6 6 7 7 8 7 7 7 7 5 3 2 1 4 4 2 0 1 5 10 9 6 4 3 3 6 11 11 7 6 7 9 7 2 4 8 11 14 15 10 3 4 5 2 -0 1 4 3 3 3 6 7 5 12 14 5 4 4 1 2 7 8 10 9 6 6 5 6 9 9 7 10 15 12 5 4 4 3 3 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 3 6 10 14 17 19 20 21 22 22 22 21 19 16 11 7 7 8 8 9 12 14 16 15 12 11 7 5 3 3 4 4 5 5 5 6 6 6 6 6 6 5 5 7 9 13 19 23 21 13 7 5 7 10 12 12 10 6 0 -2 -1 2 7 12 16 21 24 26 26 22 13 6 2 2 3 3 2 1 2 7 6 2 2 4 4 2 -0 0 1 2 3 7 12 12 6 5 5 4 4 4 4 5 8 9 9 10 9 8 9 10 8 6 6 6 5 5 5 5 5 5 6 8 10 12 12 10 8 7 6 5 5 6 6 4 4 4 4 6 8 9 8 6 6 5 4 2 1 0 0 1 2 5 8 10 10 8 5 4 5 5 3 1 -1 -1 2 4 4 4 5 4 4 3 3 nan nan nan nan nan nan nan nan 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 3 2 2 3 4 5 6 7 7 6 6 5 6 6 6 5 4 4 3 3 4 3 3 3 3 3 4 4 4 4 5 5 4 4 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 4 4 4 4 4 4 3 4 3 4 4 4 3 4 4 4 4 4 5 5 4 4 5 4 4 5 5 5 5 6 6 6 6 5 4 3 2 2 2 2 3 4 3 3 2 2 2 3 4 5 7 8 9 8 8 7 7 7 9 11 11 9 7 7 7 5 3 2 -0 0 1 2 -1 2 7 9 2 4 6 8 4 4 7 8 5 3 5 7 5 3 5 9 10 12 15 12 7 6 7 8 6 3 4 4 2 0 5 6 10 15 9 7 6 14 19 18 16 12 11 7 5 6 6 8 9 7 9 16 18 10 4 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 6 7 8 10 12 14 14 15 17 19 20 20 18 15 14 16 19 18 18 18 19 19 17 12 5 2 3 3 3 3 4 5 5 6 5 5 6 6 5 4 6 9 13 21 28 24 14 7 3 -1 -2 1 5 10 13 7 -6 -10 -2 5 9 11 14 19 27 34 38 31 18 8 4 5 9 10 8 5 2 2 2 -1 0 2 -0 -5 -6 -5 -3 -0 3 7 8 6 5 5 4 4 5 5 4 6 7 7 9 8 6 6 6 6 5 5 5 5 5 5 6 6 5 6 6 8 11 12 12 11 9 7 6 5 5 4 3 3 3 2 4 6 8 8 8 7 7 6 5 4 5 5 6 7 9 12 12 10 6 4 4 5 5 4 1 -1 -0 2 4 4 4 4 4 3 3 2 nan nan nan nan nan nan nan 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 3 3 3 4 6 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 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 5 5 5 5 6 7 7 7 7 6 5 4 3 3 3 4 4 4 3 2 2 2 3 4 5 7 8 9 9 8 8 8 8 9 12 14 12 8 6 6 4 2 1 -1 -5 -2 4 -1 2 8 13 3 10 13 10 5 3 3 9 7 5 6 6 4 4 8 11 9 9 9 7 8 6 7 11 10 5 4 4 2 0 2 4 10 9 6 8 6 14 24 23 17 13 10 10 11 9 7 6 6 5 12 19 15 7 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 3 4 3 3 3 3 4 4 3 4 4 3 4 3 3 3 4 5 5 4 4 3 3 3 4 4 6 6 6 5 5 5 4 4 4 4 3 3 3 4 4 5 6 7 6 6 6 6 6 6 8 10 14 18 19 18 17 15 14 12 9 8 11 13 14 11 4 3 3 3 3 3 4 4 4 5 4 4 5 6 6 2 2 7 12 19 27 25 13 3 -4 -11 -11 -5 2 11 18 14 -1 -13 -8 3 7 7 8 10 17 28 39 44 35 21 13 13 18 24 23 12 -3 -4 1 -2 -4 -3 -1 -3 -5 -6 -5 -0 2 3 4 5 6 6 6 6 9 11 7 5 5 4 5 7 6 6 6 6 5 5 5 6 6 6 6 6 6 5 6 7 10 13 14 12 10 9 7 6 5 3 3 3 3 3 2 3 5 7 9 9 9 7 6 6 7 8 9 10 12 13 12 9 5 3 4 5 5 4 3 1 1 3 4 4 4 3 3 3 3 3 nan nan nan nan nan nan nan 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 5 4 3 3 3 4 6 7 7 7 7 7 6 6 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 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 5 5 5 5 5 5 6 7 7 8 8 9 8 7 7 6 5 5 4 4 3 2 2 3 4 4 5 6 8 8 9 9 9 8 6 4 7 11 13 10 6 5 2 1 1 0 -3 -1 3 1 2 4 3 1 6 14 6 6 3 3 6 6 6 12 11 8 7 10 12 12 10 6 4 4 5 5 6 6 3 1 4 2 0 2 6 8 3 5 6 5 9 15 16 14 13 11 11 11 9 5 3 3 5 15 18 10 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 4 3 4 4 4 5 4 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 5 6 7 7 6 5 4 4 4 5 6 8 9 12 11 7 3 3 2 3 3 4 6 5 3 3 3 2 3 4 3 3 3 4 4 4 4 6 10 5 -1 4 13 14 15 14 8 -0 -6 -10 -9 -4 2 10 19 14 -0 -6 -4 3 6 5 6 6 9 14 25 37 41 32 22 22 25 30 33 16 -5 -9 -4 -2 -3 -2 -0 1 1 1 1 2 4 4 4 4 5 6 6 7 10 14 12 8 7 5 5 5 6 7 7 6 6 6 6 5 6 6 6 5 6 6 5 6 9 12 14 13 12 10 8 6 5 3 2 2 2 2 1 2 3 6 8 10 10 8 5 6 7 9 10 11 12 12 10 8 5 4 4 5 5 5 4 3 2 2 4 5 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 7 7 6 5 5 4 3 3 3 4 5 6 7 8 7 6 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 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 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 4 5 7 7 8 9 10 10 10 10 10 9 7 6 5 4 3 3 4 5 5 5 6 7 8 8 9 10 9 7 3 3 8 11 10 7 4 2 2 3 3 1 0 1 7 4 5 -3 -2 -3 9 6 11 4 0 -3 1 6 12 12 11 9 9 11 12 11 7 3 4 3 0 0 2 1 -0 3 3 2 6 7 6 2 4 6 6 3 7 10 12 10 8 7 7 6 3 1 3 9 18 15 6 3 3 3 3 3 3 4 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 3 2 2 4 4 4 4 4 4 4 5 5 4 4 4 3 3 4 3 3 3 4 4 5 6 7 7 7 5 4 4 3 3 4 4 5 6 7 7 5 4 3 4 4 3 2 2 2 3 3 2 3 3 3 3 3 3 4 4 3 5 11 13 4 3 15 15 5 -2 -3 -1 -0 0 2 3 4 7 13 14 -0 -3 4 5 5 5 5 6 5 6 10 18 26 26 19 16 17 22 25 13 -3 -7 -3 1 1 1 2 3 3 4 5 5 5 5 5 5 5 6 6 3 3 8 9 7 7 6 5 5 6 7 7 7 7 7 6 5 5 5 5 5 6 6 5 5 7 10 12 12 11 10 9 8 6 4 2 1 1 1 1 1 2 5 7 9 10 9 7 7 6 7 9 10 11 10 8 7 6 5 5 5 5 5 4 4 3 3 4 6 6 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 nan nan nan
nan nan nan nan nan 7 7 7 6 6 5 5 4 3 2 4 4 5 7 7 7 6 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 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 5 5 5 5 5 5 5 5 6 8 9 9 10 10 11 12 13 12 10 7 5 5 4 3 4 5 5 4 5 7 7 8 9 11 12 10 6 4 6 9 10 8 3 0 2 5 5 2 -2 1 11 9 7 11 10 -3 6 12 15 8 1 -5 -1 3 4 6 9 9 7 8 8 8 6 5 6 3 1 1 4 4 4 2 2 7 11 8 5 2 1 3 3 1 6 8 8 5 3 6 6 3 2 2 4 12 18 12 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 4 4 4 4 4 4 4 4 4 3 2 1 2 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 6 6 6 6 5 4 3 3 3 3 4 6 8 10 10 7 6 6 6 4 3 2 3 4 3 2 2 2 3 3 3 3 4 3 3 3 6 12 10 8 16 19 8 -5 -11 -5 2 5 7 6 5 4 6 8 4 2 5 6 6 5 5 5 5 4 3 1 5 10 5 -1 2 9 12 10 6 4 5 4 2 3 4 4 3 2 2 4 5 5 6 7 8 9 9 7 2 2 5 5 5 5 5 5 5 6 6 6 7 7 7 5 5 5 5 5 6 6 6 5 6 8 10 12 11 10 9 8 7 6 4 2 1 2 2 1 2 4 6 9 10 10 9 7 5 5 7 8 9 8 7 6 6 6 6 7 6 6 5 4 3 3 5 6 5 4 4 5 4 5 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 5 5 6 6 7 7 7 6 5 4 2 2 3 3 4 6 7 6 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 3 3 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 3 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 5 6 7 8 8 9 10 11 12 13 14 13 10 7 6 4 3 3 4 4 4 4 5 7 8 9 10 12 13 12 9 7 6 8 10 8 3 -1 1 5 6 3 -2 1 12 18 5 8 11 2 1 10 14 9 6 0 1 1 1 5 8 8 7 6 5 3 2 5 8 7 7 7 6 10 11 4 1 9 12 11 7 4 -1 0 1 0 3 5 5 2 3 8 5 3 2 2 5 15 18 10 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 4 4 4 4 4 4 3 2 2 3 4 5 5 5 5 5 4 4 3 3 4 4 4 4 3 3 3 3 3 4 4 5 5 6 6 6 6 5 4 2 3 3 4 5 7 9 10 10 7 6 6 5 4 4 4 4 4 2 2 2 2 3 3 3 4 3 3 3 4 6 7 9 15 19 12 1 -7 -9 -3 -0 2 0 0 3 4 5 5 5 5 5 6 6 5 4 5 5 4 -2 -6 -2 -1 -5 -5 1 7 9 9 8 8 5 3 6 7 6 5 4 4 6 8 8 8 8 8 9 11 10 7 4 4 5 5 5 5 5 5 5 5 5 6 7 8 6 5 5 5 5 6 7 6 4 4 6 8 10 11 11 10 8 8 8 7 5 3 2 2 1 2 3 5 7 9 9 9 8 6 5 6 7 7 7 7 6 7 7 7 7 7 6 5 4 4 4 5 6 5 4 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 nan nan
nan nan nan nan 4 5 5 6 7 8 8 7 6 5 4 2 2 2 3 4 5 5 6 5 5 5 4 3 3 3 3 3 4 4 3 3 4 4 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 4 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 6 6 5 5 5 5 7 8 8 8 10 11 13 14 14 14 12 10 7 5 4 3 2 2 3 3 3 4 6 8 9 10 12 14 13 11 8 6 7 9 8 4 0 1 5 6 5 1 2 13 24 8 -2 1 1 -9 4 5 6 6 3 4 5 6 8 5 6 8 9 7 3 1 3 3 7 11 9 7 13 14 6 3 7 9 9 7 4 2 5 4 2 1 3 4 2 8 8 5 4 2 2 7 18 18 8 4 3 4 3 4 4 4 4 4 4 4 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 2 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 6 6 5 3 3 3 3 4 5 6 7 7 6 5 4 4 4 4 4 4 3 3 2 2 2 3 3 4 4 4 3 3 3 3 4 6 13 20 14 4 1 -3 -3 -2 -3 -7 -9 -2 3 4 5 5 5 5 8 8 7 7 7 6 5 3 -1 -1 1 1 -0 2 5 7 7 6 6 6 5 7 8 6 5 10 11 9 9 10 10 10 7 5 8 8 5 5 5 5 4 5 5 6 5 5 4 5 6 7 7 7 6 5 5 5 6 7 6 5 4 4 6 8 10 11 11 10 9 10 9 8 6 4 3 2 2 3 4 6 8 8 9 9 7 7 6 7 8 7 7 7 7 7 7 7 7 6 5 4 4 4 5 5 5 4 3 3 4 3 2 nan nan nan nan nan 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 4 4 5 6 7 8 8 8 7 6 4 3 2 2 3 3 4 5 6 6 5 5 3 3 2 3 3 3 3 3 3 3 4 5 4 4 3 3 2 2 2 2 2 2 3 3 2 3 3 2 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 3 4 4 4 4 4 3 4 3 3 4 4 4 4 4 3 3 3 4 4 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 4 5 4 4 4 5 5 5 5 5 4 4 5 6 6 6 6 6 5 5 5 7 8 8 9 12 15 17 16 15 13 11 9 6 5 3 3 1 0 2 3 3 4 6 8 9 10 11 13 13 11 9 7 6 8 7 4 2 3 5 7 6 3 1 12 19 9 -1 4 4 -9 -4 -5 1 0 4 8 13 14 15 7 4 7 11 10 6 3 4 3 6 8 7 8 13 12 6 4 5 6 6 5 4 4 8 6 5 5 5 4 6 11 8 5 4 2 3 9 18 15 6 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 5 4 4 4 4 4 4 5 4 4 3 3 4 4 4 4 4 4 5 6 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 2 2 2 2 3 4 5 5 4 4 4 3 4 4 5 9 20 20 10 5 3 3 4 2 -4 -11 -9 -4 -0 3 4 5 6 10 11 7 9 12 8 5 5 5 5 4 4 5 4 5 6 6 6 5 6 5 7 7 4 3 10 14 12 9 8 9 10 8 5 6 6 5 5 4 4 4 4 5 5 5 5 4 4 4 5 6 7 6 6 5 4 4 6 7 6 5 4 5 7 9 10 11 10 10 11 12 11 10 8 6 4 3 3 3 6 7 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 6 5 5 4 4 4 5 6 5 4 4 3 3 3 2 nan nan nan nan nan 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 4 5 6 7 7 8 8 8 6 5 4 3 2 3 3 4 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 3 3 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 5 4 5 5 6 6 6 5 5 6 7 7 8 13 19 21 20 17 15 13 10 8 6 5 3 2 1 0 1 2 3 4 6 7 8 8 10 12 12 11 9 6 6 7 6 4 4 6 6 7 7 4 -2 6 11 4 0 14 14 2 -8 -9 1 -2 5 10 15 18 19 11 4 6 11 10 8 8 8 8 8 7 7 10 13 9 5 3 4 5 5 5 4 5 7 7 9 9 7 7 10 12 7 5 4 3 4 11 19 14 5 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 4 4 4 3 3 4 5 4 3 4 5 5 6 6 6 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 5 6 6 5 5 4 4 4 4 4 5 12 20 21 14 6 6 7 7 3 -3 -7 -8 -7 -3 3 5 5 8 9 6 8 14 11 6 5 5 5 6 6 5 4 5 5 5 5 5 6 3 3 4 4 4 6 9 8 8 7 6 7 7 5 5 6 6 5 4 4 4 4 4 5 4 5 4 4 3 4 5 6 7 7 6 4 4 5 6 6 5 4 5 6 6 7 9 10 11 12 13 13 13 12 10 7 5 4 4 5 7 7 7 8 8 8 8 7 8 9 8 7 7 7 7 6 5 5 5 4 4 5 5 6 6 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 nan nan nan
nan nan nan 4 4 2 3 3 3 4 5 6 7 7 8 8 8 7 4 3 3 3 3 4 5 5 5 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 2 2 2 3 3 3 4 3 3 3 4 4 4 4 3 3 4 3 3 4 3 4 4 4 4 3 3 3 3 4 3 3 3 3 3 4 3 3 4 4 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 6 7 7 7 14 24 30 28 23 18 14 12 10 8 7 5 3 2 1 2 2 2 3 4 6 7 6 7 9 11 12 10 7 6 6 6 6 5 7 9 6 5 8 8 -1 0 4 0 3 19 20 8 -4 -3 4 3 4 6 7 16 14 8 6 9 11 9 9 12 11 10 8 8 9 11 11 7 2 -2 0 4 5 5 4 8 9 9 10 10 10 12 14 9 4 4 5 3 5 13 19 12 4 3 3 3 3 3 3 3 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 5 5 5 3 3 4 4 4 4 3 4 5 5 6 6 6 6 5 4 4 4 4 3 4 4 3 4 4 4 4 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 5 4 4 3 4 4 3 3 3 3 3 4 6 6 6 5 4 4 4 4 4 4 4 5 10 18 21 14 10 9 8 6 2 1 -2 -8 -7 1 4 4 5 4 3 6 11 10 7 5 4 4 5 6 6 4 5 6 4 3 4 5 1 1 4 4 4 5 6 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 5 5 5 4 2 3 5 6 7 7 6 5 4 4 5 6 6 5 5 7 7 3 5 8 9 11 12 13 14 15 14 11 8 6 5 5 6 7 7 7 7 7 7 7 7 8 7 6 6 6 6 6 6 5 5 5 4 4 5 5 5 6 5 5 5 5 5 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 6 5 4 3 3 3 4 4 4 5 5 7 8 9 8 7 5 3 3 3 3 3 4 4 4 4 3 3 3 3 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 3 3 2 2 2 2 1 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 4 5 4 4 4 4 5 5 5 6 6 5 5 6 7 6 12 28 40 38 31 23 17 14 12 10 9 7 5 4 2 2 2 3 3 4 6 6 6 6 7 9 11 12 10 8 7 6 5 5 5 7 9 5 3 6 8 2 3 4 4 5 14 16 6 1 4 10 9 4 3 -1 8 12 9 8 9 10 8 10 11 9 7 8 9 8 7 6 3 -2 -3 1 6 5 3 4 10 13 11 10 10 12 14 11 6 4 5 4 3 5 12 14 7 4 3 3 3 3 3 3 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 4 4 4 5 5 5 4 3 3 4 4 4 3 4 4 5 5 6 6 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 5 5 5 5 6 5 5 5 5 4 4 5 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 7 14 15 14 14 12 9 6 4 3 0 -1 3 3 1 4 4 1 4 7 6 6 5 4 5 5 5 6 5 6 7 5 3 5 6 3 2 4 4 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 5 4 4 3 4 5 5 5 4 3 2 4 5 7 8 7 5 4 4 5 5 5 5 6 7 9 7 4 6 8 9 11 12 13 15 16 15 11 7 5 5 6 7 7 7 8 7 6 6 6 7 7 6 5 5 6 6 6 5 5 5 4 4 4 4 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 nan nan nan nan nan nan
nan nan nan 7 6 5 5 4 4 3 3 3 3 4 5 6 8 8 8 7 5 3 2 2 2 3 3 2 2 3 3 3 3 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 3 3 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 5 5 5 5 6 6 6 7 6 7 25 45 44 33 26 19 15 12 11 10 9 7 5 4 3 2 3 3 4 6 8 7 7 6 7 9 11 12 11 9 7 5 5 6 6 7 9 6 2 2 3 4 7 10 10 8 12 11 3 3 7 12 11 6 3 0 7 15 11 9 9 8 8 10 7 6 5 6 6 3 1 -1 -2 -1 5 10 9 4 1 2 7 11 8 4 7 10 11 8 5 5 5 2 2 3 8 9 9 6 3 4 4 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 3 4 4 5 5 5 4 4 4 4 4 3 3 3 4 4 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 4 5 5 6 6 6 5 5 6 5 4 4 4 3 3 4 4 4 4 4 4 5 8 10 14 15 13 9 7 7 5 4 5 5 5 6 5 4 5 5 5 6 6 7 8 6 6 6 6 9 10 7 6 7 6 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 6 7 6 5 4 4 4 4 4 5 6 5 4 3 3 5 6 7 7 6 4 4 5 5 5 5 6 6 8 9 6 6 7 8 9 10 12 13 14 14 11 8 6 6 7 7 7 7 7 7 7 6 6 7 7 6 5 6 5 5 5 5 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 nan nan nan nan
nan nan nan 6 7 7 7 6 5 3 2 2 2 2 3 5 6 7 8 8 8 6 3 2 2 3 3 2 1 2 2 3 3 2 2 1 1 0 0 0 1 1 1 1 2 2 2 3 2 2 2 2 2 2 2 1 2 2 3 3 3 4 4 4 3 2 2 2 2 3 2 2 2 2 2 3 3 3 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 2 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 4 5 5 5 5 4 5 5 5 6 6 6 6 7 8 7 13 35 43 25 16 15 13 11 11 11 10 9 7 6 4 3 2 3 4 6 9 10 9 8 7 7 9 11 12 12 9 6 4 6 6 4 5 6 7 4 3 4 6 6 6 5 5 10 9 4 3 4 7 8 7 7 7 13 17 10 8 7 5 8 8 5 3 3 4 2 -2 -4 -2 -1 3 9 12 9 1 -1 0 2 6 1 -4 1 6 8 6 2 2 1 -1 1 3 5 7 13 11 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 5 5 5 5 5 5 4 4 4 3 3 4 4 5 5 6 6 6 6 6 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 4 4 4 4 4 4 5 5 6 6 5 5 6 5 4 3 3 3 4 4 4 4 4 4 5 4 5 5 7 10 11 10 8 8 7 5 8 10 8 7 6 6 6 6 7 8 8 11 12 9 9 7 5 9 10 7 6 6 5 4 4 4 3 3 4 4 4 4 4 3 3 3 4 5 5 6 6 7 6 5 5 4 4 4 5 6 5 5 4 3 4 5 7 7 6 5 5 5 5 5 5 5 5 6 6 7 7 7 7 8 9 10 11 12 11 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 5 5 5 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 5 5 6 7 7 7 6 5 4 3 2 2 2 4 5 6 7 8 8 7 5 5 5 4 3 2 2 2 3 3 3 2 2 1 1 1 0 -0 0 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 3 3 3 4 4 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 4 3 4 4 3 3 3 3 3 4 4 4 4 3 3 4 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 6 6 7 8 8 9 18 32 25 8 5 4 5 8 10 10 10 9 8 6 4 3 2 3 5 8 11 12 11 10 9 8 9 11 12 11 9 5 5 7 7 6 4 5 6 5 7 12 10 4 1 0 1 -0 -1 3 7 5 4 6 12 15 13 13 12 9 7 6 5 7 5 3 0 0 2 -0 -1 -1 2 4 5 6 8 4 -3 -2 1 1 2 -1 -2 3 8 9 4 -2 -5 -6 -2 2 4 5 11 20 14 3 3 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 4 5 5 5 5 5 5 4 4 4 4 3 3 3 4 5 5 5 6 7 7 6 5 5 5 4 3 3 4 3 3 3 4 3 3 4 3 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 5 6 6 5 5 4 3 3 3 3 4 5 4 4 4 5 5 5 6 6 6 6 7 8 7 6 6 5 9 12 10 7 7 7 5 4 5 8 9 10 12 11 11 9 5 5 7 5 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 7 6 6 5 5 4 5 5 6 7 6 5 4 4 5 6 6 6 5 5 5 6 6 5 5 5 6 6 6 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 4 4 4 4 3 3 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 5 5 5 5 5 6 6 5 4 3 3 3 4 4 5 5 6 6 7 7 7 7 6 5 3 3 3 3 3 2 2 2 1 1 0 0 0 0 0 1 1 1 2 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 2 2 3 2 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 8 9 8 11 20 25 13 5 4 1 1 4 7 11 10 9 9 8 5 3 3 4 7 9 11 12 12 12 11 9 9 10 10 10 8 7 7 8 9 9 6 6 8 3 6 11 11 8 8 4 -1 -4 -4 0 5 5 4 9 18 19 13 9 9 10 8 6 6 6 3 1 -2 1 3 1 1 4 8 9 3 3 5 3 -1 -1 1 2 2 2 4 7 14 10 2 -5 -8 -7 -1 4 7 6 16 23 11 2 4 4 4 4 3 3 3 3 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 5 5 5 5 6 5 5 4 4 4 3 3 2 3 4 4 4 5 6 6 7 7 7 6 5 4 3 3 4 4 3 3 3 4 3 3 3 3 2 2 3 2 2 2 2 2 2 2 2 2 3 2 2 2 3 3 4 4 4 4 3 2 3 3 3 4 4 4 4 4 5 6 7 7 7 6 6 6 6 6 6 6 6 7 8 9 8 8 8 5 5 5 6 6 6 7 8 8 8 6 3 3 3 2 2 3 3 3 3 3 2 2 2 3 3 3 3 3 4 5 6 5 5 6 6 6 6 6 5 5 4 5 5 7 8 6 4 4 5 6 6 6 6 5 5 6 6 5 5 5 6 6 6 6 6 7 8 9 9 8 9 8 8 9 10 9 9 9 9 9 8 6 6 6 7 7 7 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 5 5 4 4 4 5 5 5 4 3 3 4 4 4 4 4 4 5 6 7 7 8 7 6 4 4 4 4 3 2 2 2 1 1 1 0 0 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 2 2 2 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 4 3 4 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 4 4 5 6 7 8 9 9 9 11 13 19 18 9 7 6 1 -0 -1 3 8 9 9 9 9 7 5 4 5 7 8 9 10 12 15 14 11 9 8 8 8 7 7 7 8 7 5 5 9 13 4 0 2 4 11 15 8 -1 -1 -0 1 2 2 5 13 17 14 10 9 11 11 8 6 6 6 3 -0 -1 1 2 1 3 5 7 7 -2 1 5 4 3 -1 2 4 4 4 4 11 17 9 0 -5 -7 -3 2 9 11 8 17 20 8 3 4 4 4 4 4 3 3 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 4 4 3 3 3 3 3 4 4 4 4 5 6 7 9 8 7 5 4 4 4 4 3 3 3 4 4 4 3 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 3 3 2 2 2 3 3 2 3 3 3 3 4 4 4 4 5 5 6 7 7 7 6 6 6 6 6 5 5 5 6 6 8 8 8 8 7 6 6 5 5 4 4 3 3 4 4 3 3 2 1 2 2 3 3 3 2 2 2 2 2 2 3 2 4 8 10 9 6 4 4 5 6 6 6 6 5 5 4 5 7 8 8 6 4 4 5 6 7 7 6 6 6 6 6 6 5 6 6 6 5 5 5 6 7 8 9 9 8 8 9 10 11 11 10 10 10 8 6 6 6 6 7 7 7 6 6 5 5 5 5 5 4 3 3 3 4 4 4 5 5 5 5 6 8 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 4 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 6 7 7 7 6 5 5 6 5 4 3 2 1 1 1 1 0 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 3 4 5 5 5 5 5 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 3 4 4 4 5 5 5 5 4 4 4 5 6 7 8 9 10 12 14 16 17 12 7 9 6 0 -1 -3 1 6 7 8 8 8 8 7 5 5 6 6 7 8 11 16 16 12 8 6 7 7 7 7 5 3 4 4 1 5 13 7 -2 -3 1 8 15 11 3 1 2 4 3 2 6 11 10 6 6 11 12 9 6 6 6 5 4 1 1 3 2 3 6 1 -1 4 -1 -0 4 3 2 -1 3 6 4 4 7 16 19 11 2 -4 -4 1 9 15 13 8 15 19 10 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 8 10 10 8 5 4 4 4 4 3 4 4 4 3 3 3 2 2 3 3 4 3 3 3 3 3 3 3 3 4 4 3 4 3 2 1 2 2 3 3 3 3 3 4 4 4 4 4 5 6 6 6 6 6 5 5 5 4 4 3 3 4 5 7 8 9 9 8 7 6 5 5 4 3 2 2 2 2 3 3 2 2 2 2 2 3 3 2 2 2 2 2 2 2 3 7 15 18 13 6 3 3 4 5 6 6 6 6 5 5 5 5 6 9 8 5 3 4 5 6 7 7 6 6 6 6 6 6 5 5 6 5 5 5 5 6 7 9 9 9 9 9 9 11 12 13 12 11 10 8 6 5 5 6 6 7 7 6 5 5 5 4 5 4 3 2 3 3 4 4 4 3 3 4 6 7 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 3 3 2 3 3 3 3 4 4 3 4 4 4 3 4 5 5 5 5 4 4 4 5 5 6 6 6 7 7 6 5 3 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 2 3 4 4 6 6 5 4 4 3 4 4 4 4 5 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 4 5 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 6 8 9 11 14 18 20 17 12 4 -0 2 3 0 0 0 2 4 6 7 7 7 6 7 5 4 4 5 6 7 10 14 16 13 8 5 6 7 7 8 5 -2 -1 5 3 2 9 9 -3 -3 1 3 11 13 5 1 3 7 7 8 10 6 2 1 4 6 8 8 8 7 5 4 4 0 1 4 6 10 6 -6 -8 6 6 -1 4 3 1 1 1 2 5 8 10 14 20 16 4 -3 1 9 16 17 10 6 14 20 12 4 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 4 4 3 3 3 3 3 4 4 3 3 3 3 6 9 11 10 7 6 5 4 4 4 3 3 3 3 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 4 4 3 3 3 4 4 3 3 3 3 5 5 5 5 4 4 4 3 3 3 2 2 3 4 5 7 8 9 8 7 6 6 5 4 3 2 2 2 2 2 2 3 2 2 3 2 2 2 2 2 2 2 2 2 2 5 12 22 23 15 6 2 3 4 4 5 6 6 6 5 5 5 4 6 7 7 5 4 4 4 6 7 7 6 6 6 6 5 5 4 4 5 5 6 5 5 5 6 8 9 10 10 9 9 10 11 14 15 15 14 11 7 5 4 5 6 7 7 6 5 5 4 4 5 4 4 3 3 4 3 3 3 2 1 2 5 7 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 4 3 3 2 2 2 2 2 2 3 4 4 4 4 4 4 5 6 6 5 4 4 4 4 5 6 7 8 8 7 6 4 3 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 2 3 4 5 6 6 5 4 4 4 4 4 4 4 5 4 4 3 4 5 5 5 5 4 4 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 6 7 9 11 16 23 27 22 14 6 -4 -6 -5 -4 -2 0 2 3 4 5 5 6 6 6 7 6 4 3 4 5 6 8 11 13 12 8 4 5 6 7 9 10 3 -3 0 3 2 6 4 -2 -2 1 1 6 10 6 3 7 12 9 11 10 2 0 2 1 -0 5 11 13 9 5 2 1 1 3 6 9 11 4 -11 -8 15 16 -0 3 4 0 2 0 -1 5 11 11 16 23 20 6 -1 4 13 18 14 6 5 13 22 14 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 3 3 3 3 4 3 3 3 3 4 7 9 9 9 7 6 5 5 4 3 4 4 4 4 4 4 4 4 4 5 6 6 7 7 6 6 6 6 6 6 6 6 5 4 4 4 5 5 5 4 3 4 4 4 4 3 3 3 3 4 4 4 3 3 2 2 2 2 2 2 2 2 4 5 7 8 9 8 7 6 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 3 6 15 24 22 13 3 -0 3 4 4 4 5 6 6 6 6 4 4 5 6 6 6 5 4 4 4 5 6 7 6 5 5 5 5 4 4 4 5 5 6 5 5 5 6 8 9 10 9 9 9 10 13 17 21 20 17 12 7 5 5 5 6 6 6 5 5 4 4 4 4 4 4 5 4 3 3 2 2 1 2 4 6 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 3 2 2 2 2 2 3 4 4 4 4 3 3 4 5 7 7 6 5 4 3 4 5 6 7 8 7 7 6 5 3 3 3 3 3 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 5 4 5 4 4 4 4 5 5 5 5 4 3 4 4 5 5 5 4 4 4 4 5 4 4 3 4 4 4 5 5 5 6 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 7 8 11 17 25 31 29 20 8 0 -4 1 -2 -7 -4 -1 1 2 4 4 5 6 6 7 7 6 4 4 4 5 6 8 9 9 8 6 4 5 6 5 6 9 10 9 4 -0 -3 -1 -1 0 2 3 2 3 5 5 9 15 14 8 6 5 1 1 3 -0 -3 3 12 14 9 5 3 3 5 8 10 10 8 -2 -9 0 22 20 -1 -0 4 1 4 4 2 7 8 10 22 28 18 5 3 9 15 16 10 4 5 13 23 16 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 5 7 8 8 7 7 6 5 5 4 4 5 5 5 4 5 5 5 4 5 5 6 7 7 6 6 5 5 5 5 5 5 5 4 4 5 6 6 6 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 5 6 8 8 7 6 5 4 3 3 3 3 2 3 3 2 2 2 2 2 2 2 1 1 1 2 2 2 3 7 16 20 16 8 1 -2 0 4 4 4 5 5 6 6 5 5 4 4 4 5 6 6 5 5 4 4 5 6 6 4 5 5 5 4 4 4 5 5 5 5 5 5 6 6 7 8 8 9 8 8 11 16 24 28 24 17 10 7 6 5 5 5 5 5 4 4 4 4 4 3 4 5 4 4 3 2 2 2 3 3 5 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 4 4 3 3 3 3 3 4 4 4 4 4 3 3 4 5 6 6 6 5 4 3 4 5 6 6 7 7 7 6 5 4 4 4 5 5 5 6 6 5 6 5 5 4 3 4 4 4 4 4 5 5 5 5 4 4 5 6 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 5 6 8 10 13 18 24 29 28 24 20 7 -5 1 13 7 -3 -1 1 2 3 4 5 5 6 7 7 8 7 6 5 5 6 6 7 8 7 5 5 5 7 8 7 6 5 6 9 9 3 -2 -3 -0 3 5 6 7 7 4 4 9 12 9 8 5 3 1 1 3 0 -0 5 10 11 8 8 9 9 9 10 10 6 1 -4 -1 10 21 12 -3 1 6 3 6 5 5 8 5 12 26 26 13 6 9 15 17 13 7 4 6 14 23 17 5 4 4 4 4 4 4 4 5 5 4 4 4 5 4 5 5 5 4 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 7 6 6 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 4 6 7 7 6 5 5 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 6 7 7 6 5 3 4 4 5 4 3 3 3 3 3 2 2 2 2 2 2 2 1 2 2 2 3 7 13 14 9 5 3 0 -0 3 4 4 4 5 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 5 3 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 8 9 13 21 28 27 19 11 9 10 9 7 5 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 4 5 7 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 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 5 5 6 6 5 3 3 3 4 5 5 6 7 7 6 5 5 5 5 6 6 6 6 6 7 7 6 4 3 3 4 4 5 5 6 5 4 4 4 5 5 6 7 6 6 6 6 6 5 5 4 4 4 4 3 3 3 3 3 4 5 6 6 5 4 4 4 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 7 10 13 17 21 25 25 22 19 19 20 12 -2 2 12 11 4 3 3 4 5 5 4 4 5 7 9 9 8 7 6 6 6 6 7 8 9 6 5 6 7 11 11 9 10 7 3 1 0 0 2 4 6 7 9 13 13 9 5 4 3 4 7 7 4 2 2 4 4 4 7 9 9 10 13 16 13 8 8 8 4 -0 -2 4 12 15 6 -2 3 8 5 5 2 3 4 7 22 28 19 10 10 15 18 15 10 6 5 8 17 22 14 5 5 5 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 5 5 5 4 4 4 3 3 2 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 2 3 3 3 3 2 2 3 3 3 3 2 3 3 3 3 3 3 2 3 4 5 7 8 8 7 5 5 4 4 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 2 1 1 2 3 4 6 6 5 4 4 4 4 5 5 5 4 3 3 3 4 3 3 3 3 3 2 2 2 2 3 3 5 8 8 5 6 5 0 0 3 5 4 4 5 5 6 6 5 5 4 4 4 4 5 4 3 4 5 5 6 8 7 4 4 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 6 7 10 14 20 21 16 11 11 16 17 13 7 4 4 4 4 5 5 5 5 5 4 4 4 2 2 2 3 3 3 3 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 6 5 4 3 3 3 3 4 4 5 6 6 5 4 5 5 6 6 5 6 7 7 6 4 3 3 4 5 6 6 6 5 4 4 4 5 5 6 6 7 7 7 6 6 5 5 5 4 3 3 3 3 2 2 3 4 5 6 6 6 5 3 3 3 4 4 5 5 6 6 5 5 5 4 4 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 5 8 11 16 20 22 24 22 17 13 12 13 15 14 6 1 -0 -2 0 3 4 5 6 5 4 4 5 7 10 11 10 9 7 6 6 5 4 6 10 10 8 7 5 9 12 12 11 8 4 0 -2 1 3 5 7 8 11 15 15 14 11 4 3 5 5 5 6 4 3 4 5 5 6 9 10 10 14 17 11 5 5 6 7 5 2 5 9 11 8 3 4 6 7 1 -3 -1 4 13 26 23 13 10 14 16 14 11 8 6 6 9 16 20 11 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 5 5 6 7 7 6 6 5 5 4 4 4 3 3 3 4 4 4 4 4 5 5 4 5 4 4 4 3 2 2 1 1 1 1 1 1 2 2 2 1 2 2 2 2 2 1 1 2 2 2 2 2 2 2 3 5 8 11 12 10 7 5 5 4 3 3 2 2 3 4 4 4 4 4 4 4 5 4 4 3 2 2 2 2 2 3 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 2 3 5 4 3 7 7 1 0 3 5 5 5 5 5 6 6 6 5 5 5 4 4 5 5 3 3 4 4 5 7 8 7 6 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 5 6 6 8 10 12 12 11 9 11 19 24 19 9 4 4 5 5 5 6 5 5 5 5 5 4 3 1 1 1 2 3 4 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 7 6 4 4 4 3 4 4 4 4 4 4 4 5 4 4 4 3 3 4 5 5 5 5 4 4 3 3 3 3 4 5 6 5 5 4 5 5 5 5 5 6 6 5 4 3 4 5 6 6 6 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 5 4 3 2 1 2 2 2 2 3 4 5 6 6 5 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 7 12 15 19 22 19 16 13 10 10 12 10 9 10 8 3 -4 -8 -4 1 4 5 6 5 4 4 4 7 11 13 12 9 7 7 6 4 3 5 7 7 5 6 3 5 8 10 5 2 4 4 3 3 3 7 7 6 9 10 11 15 14 7 7 7 6 8 12 9 3 3 6 5 4 9 8 7 11 13 8 5 7 8 6 4 4 6 7 8 10 9 4 3 8 -2 -3 5 9 17 20 14 10 8 10 10 8 5 5 6 7 9 17 21 12 4 5 6 5 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 5 6 6 7 7 6 6 5 4 4 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 2 2 2 2 1 1 1 1 3 6 10 14 16 12 8 5 5 3 3 3 2 3 4 4 6 6 6 5 4 5 5 6 5 4 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 4 3 3 4 3 3 4 6 6 2 1 3 3 3 3 4 5 5 5 5 5 6 6 5 5 5 4 4 5 6 4 3 3 4 4 5 7 8 7 6 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 5 6 7 9 10 9 7 8 10 16 20 17 10 5 4 5 5 6 6 6 5 6 6 7 6 4 2 1 0 1 3 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 6 7 8 8 7 5 3 3 3 3 3 3 4 4 5 4 4 5 5 5 4 3 3 4 5 5 6 5 5 4 4 3 3 3 4 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 5 6 6 5 4 3 3 3 3 4 4 5 5 6 6 6 5 6 6 6 5 2 1 1 2 2 2 2 3 3 4 5 6 6 5 4 3 2 3 4 4 4 4 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 8 14 16 16 14 10 9 9 10 14 17 12 5 5 5 4 1 -0 0 2 4 5 5 5 5 4 4 6 11 14 12 8 6 7 9 8 5 5 5 3 3 4 3 4 4 3 -0 0 3 3 5 5 5 8 5 3 5 4 4 8 9 8 9 8 6 12 17 13 6 5 8 6 2 3 4 5 9 12 9 6 7 7 3 1 5 7 5 6 7 4 2 3 5 -5 -1 16 17 15 13 8 4 1 3 3 2 3 6 7 7 10 17 18 9 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 5 5 6 6 7 7 6 6 5 5 4 4 3 3 4 5 5 4 5 4 4 4 4 4 4 3 2 2 2 2 3 3 4 4 3 3 3 2 3 3 3 3 4 5 6 6 5 4 3 2 1 1 2 3 7 12 16 16 13 8 5 4 3 2 2 2 3 4 5 6 7 6 6 5 5 5 6 5 5 4 4 4 4 4 3 3 2 2 3 3 3 4 4 4 3 3 3 4 5 6 7 7 7 6 6 5 4 3 4 4 5 7 9 8 4 -2 -4 1 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 3 3 3 4 5 7 8 7 5 4 5 4 4 4 5 4 4 4 4 4 3 3 3 3 3 4 5 6 7 8 8 7 8 11 13 11 8 5 4 4 5 5 5 6 7 7 8 9 8 6 3 1 0 1 2 5 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 5 6 7 8 7 6 4 3 3 3 3 3 4 5 5 5 4 4 5 5 5 5 4 3 4 4 5 5 5 6 5 4 4 3 3 3 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 5 5 5 4 2 2 1 2 3 3 4 5 5 6 6 5 5 6 6 6 4 2 2 2 3 2 3 3 3 3 4 5 6 5 5 4 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 7 11 15 14 10 7 6 8 10 12 18 21 14 5 3 3 3 4 4 4 4 3 4 4 5 5 5 4 5 9 12 11 7 5 8 11 10 6 4 4 4 5 6 6 5 3 1 2 9 12 9 5 4 10 8 3 3 4 2 -0 1 4 7 7 4 3 9 13 11 8 10 9 8 2 -3 2 7 11 13 12 9 6 0 1 4 4 6 6 5 2 -1 1 4 4 -5 0 19 22 14 7 0 -4 -3 1 0 2 7 8 8 8 8 12 15 10 4 5 6 5 5 4 5 5 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 3 3 4 4 4 5 5 5 5 5 5 6 6 6 7 6 6 5 5 4 3 4 5 5 4 4 4 4 4 3 4 3 3 3 2 2 3 3 4 5 7 7 7 6 5 4 4 5 5 5 6 8 10 11 10 7 5 3 2 2 3 5 8 13 16 14 11 7 5 3 3 2 1 2 3 4 5 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 3 2 2 3 4 5 6 7 8 7 7 5 4 4 4 4 6 10 11 9 5 -1 -4 0 5 4 3 4 4 4 5 4 5 5 5 5 5 6 6 5 5 4 4 4 3 3 3 4 6 7 7 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 4 5 6 6 7 7 8 9 8 7 7 6 5 4 4 5 5 6 8 10 11 12 11 8 3 2 1 1 2 4 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 8 8 7 5 4 4 3 3 3 4 5 6 6 5 5 5 5 6 6 5 4 2 2 3 4 5 6 6 6 6 4 3 3 3 4 4 5 5 4 5 4 5 5 5 5 4 3 3 4 5 5 4 3 1 1 1 2 3 3 4 5 6 5 5 5 6 7 6 5 4 4 4 3 3 3 4 4 4 4 5 5 6 6 5 4 3 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 5 6 8 12 15 15 10 7 6 7 8 9 12 18 19 14 4 2 3 4 5 5 5 3 3 3 4 4 5 4 4 3 7 10 10 6 6 8 11 8 5 3 1 2 6 9 12 12 6 4 7 11 8 6 5 8 19 7 0 4 4 2 1 5 9 8 4 1 0 3 4 4 8 11 6 6 4 -2 4 11 14 13 13 13 8 5 7 8 5 6 8 5 1 1 3 2 1 2 6 15 20 12 3 -1 -1 2 4 4 8 11 9 8 8 7 11 17 14 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 5 4 4 5 4 4 5 5 5 5 5 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 5 5 4 4 3 3 3 3 3 2 2 2 2 3 3 4 4 6 9 10 10 7 6 5 5 6 7 6 7 8 11 13 14 12 9 7 5 4 4 6 8 11 11 10 8 6 5 4 3 2 2 3 4 4 5 5 5 5 5 5 5 5 6 6 5 5 4 5 5 5 5 5 4 4 4 3 3 3 4 4 3 3 2 2 4 5 6 8 8 8 7 6 4 3 3 4 5 8 11 9 4 -0 -1 3 6 5 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 5 4 4 4 3 3 4 6 6 5 4 4 3 4 4 4 5 5 4 4 4 4 3 3 2 2 2 3 4 4 5 5 6 7 8 8 7 7 7 6 5 5 5 5 6 9 13 15 16 14 7 2 1 1 0 0 2 4 5 6 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 7 7 6 5 5 4 4 4 4 4 5 6 7 7 7 5 5 5 6 5 4 3 1 1 2 3 5 6 7 7 6 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 5 6 5 4 2 1 1 2 2 3 4 5 6 5 4 4 5 6 6 6 6 5 4 3 3 4 4 4 4 4 5 5 6 6 6 5 4 5 5 4 4 4 4 4 5 4 4 4 4 4 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 8 14 16 14 9 7 6 7 7 8 9 11 15 16 11 3 2 3 4 5 5 4 3 4 4 4 4 4 4 3 3 5 9 10 7 6 7 8 7 5 3 1 1 2 8 17 20 12 5 3 0 -3 2 8 10 18 5 1 6 6 3 7 11 11 9 5 0 1 4 1 0 8 9 4 3 4 0 5 14 15 10 13 17 14 12 13 12 9 9 9 5 4 4 1 -4 -2 12 13 16 17 7 2 6 9 11 12 14 15 12 9 7 7 7 12 18 15 7 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 3 3 3 3 3 4 5 5 5 5 5 5 4 5 5 5 5 6 6 7 7 5 5 6 5 4 3 2 2 2 2 1 1 1 1 1 3 4 5 5 6 8 9 9 7 6 4 5 6 7 6 6 7 9 11 12 12 12 12 11 9 7 6 7 7 7 7 6 6 5 4 3 3 3 5 6 6 5 4 4 4 5 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 3 2 2 3 4 6 8 8 8 7 6 5 4 3 3 4 6 10 10 2 -1 1 6 8 6 4 2 3 3 4 4 4 4 4 5 5 4 5 6 7 7 7 5 4 3 3 3 4 5 6 5 4 3 4 4 4 4 4 5 5 5 5 4 4 3 3 3 2 3 3 4 4 4 5 6 7 7 8 8 8 7 6 6 6 6 7 11 16 20 20 15 6 0 -0 1 -0 -1 -1 2 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 6 6 5 5 4 4 4 4 5 6 7 7 8 8 7 6 5 5 5 5 4 3 1 1 1 3 5 6 8 8 6 4 3 2 3 3 3 3 4 5 5 5 5 5 5 5 4 5 6 6 6 5 3 2 1 1 2 3 4 5 5 5 4 4 5 6 7 7 6 4 3 3 3 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 9 13 13 9 5 5 6 6 6 7 9 11 13 15 7 2 2 3 4 4 4 4 4 5 5 4 4 4 4 4 4 6 11 12 8 6 6 6 7 7 5 4 3 1 2 10 17 14 6 -2 -4 1 4 2 10 7 3 6 7 7 6 13 14 8 2 -1 -0 8 12 4 1 6 7 6 5 4 2 7 14 10 7 12 17 15 13 10 9 8 9 9 6 5 5 -2 -9 1 18 20 21 15 5 4 12 17 20 21 19 16 11 9 7 6 6 11 17 16 8 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 5 4 4 4 3 2 2 3 3 4 5 5 5 5 5 4 4 4 5 6 6 7 7 7 7 7 6 4 3 3 2 1 1 1 2 1 1 1 1 3 5 6 6 6 6 6 6 6 5 4 5 6 6 5 5 5 6 6 7 9 11 14 17 14 9 6 5 4 4 6 6 6 6 5 4 5 5 5 6 5 5 4 4 4 3 3 4 4 4 4 4 5 6 6 6 7 7 7 7 6 5 5 5 6 5 5 5 3 2 2 3 4 5 7 8 8 6 6 5 4 3 3 3 5 10 9 -0 -2 4 7 8 7 6 4 2 2 4 4 5 4 4 4 4 4 4 5 6 7 7 7 6 5 4 4 4 4 6 5 5 4 3 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 4 5 5 4 4 5 5 7 8 8 8 7 7 7 7 7 8 13 20 24 22 13 4 0 1 1 -1 -2 -0 2 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 5 5 5 5 4 4 4 4 4 5 6 7 9 9 8 6 5 4 5 6 6 5 3 1 0 1 3 5 6 7 6 5 3 3 3 3 3 3 3 5 6 6 6 6 6 6 7 7 7 8 8 8 5 3 2 1 1 2 3 5 5 4 4 4 4 6 6 7 5 4 3 3 4 4 4 4 4 5 5 5 5 5 6 5 5 6 6 5 4 4 4 4 5 5 5 5 4 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 11 12 7 5 5 6 6 7 9 10 12 16 14 4 2 2 3 3 3 3 4 5 6 6 5 4 4 5 6 8 11 16 14 7 5 6 5 6 7 4 5 8 5 1 5 9 9 4 -1 -0 4 1 -1 4 -2 2 9 7 5 7 15 13 5 -1 -4 4 15 14 8 4 4 4 8 10 9 8 10 11 5 4 11 14 12 8 3 2 4 7 7 4 3 3 -2 -7 4 18 26 22 11 5 7 14 20 23 21 16 11 8 7 7 5 5 9 15 17 10 4 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 5 5 6 5 5 4 4 5 5 6 7 7 8 8 8 7 6 4 3 2 2 2 2 2 3 3 3 2 3 4 6 7 6 4 4 4 5 5 5 4 4 5 4 4 3 3 4 4 4 5 7 10 15 15 11 6 4 3 4 6 7 7 6 5 5 5 5 5 5 4 4 4 3 3 2 3 3 4 4 4 4 5 5 6 7 7 7 8 8 8 7 7 9 11 10 9 8 6 4 3 3 4 5 6 7 7 6 5 4 3 2 2 2 5 9 7 -1 -0 3 6 8 9 7 5 3 2 3 4 4 5 5 4 4 3 4 4 4 6 7 7 7 7 6 5 4 4 4 5 6 5 3 3 2 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 6 7 8 7 8 7 7 7 7 8 12 20 23 19 10 3 1 2 2 0 -1 0 3 5 6 6 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 5 5 5 4 4 3 3 3 5 6 7 7 8 8 7 6 5 5 5 7 7 6 3 1 -1 0 3 4 5 6 5 5 4 4 3 3 3 4 6 7 8 7 6 6 7 9 10 10 10 11 11 9 5 3 1 1 1 3 4 5 4 4 3 4 5 6 6 5 4 3 4 5 4 4 3 4 4 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 5 6 6 10 12 9 6 5 5 6 8 11 10 13 17 12 3 2 2 2 3 3 3 4 5 6 5 5 6 7 9 11 13 17 19 15 7 3 6 6 7 7 2 1 5 4 2 6 6 2 -0 1 4 5 5 7 2 -3 3 5 5 3 5 8 6 5 3 2 8 11 9 11 10 5 4 10 13 13 11 8 9 3 1 10 11 10 5 -2 -4 2 6 4 2 4 3 -1 -3 3 16 27 18 10 10 12 14 17 18 15 9 7 6 6 5 5 5 10 19 21 10 4 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 5 5 5 5 4 4 5 5 6 6 6 7 8 8 6 5 3 2 2 2 2 3 4 5 5 4 4 4 6 8 7 4 3 2 3 6 6 6 5 4 3 3 2 3 4 4 4 4 4 4 6 8 10 9 6 4 4 6 7 7 6 5 5 5 5 5 4 4 4 3 3 3 2 2 3 3 3 4 5 5 5 5 6 6 7 7 8 8 9 8 9 12 14 14 13 12 11 8 5 4 4 5 5 5 5 5 4 3 2 2 2 3 4 5 3 1 2 3 5 8 11 9 6 3 3 3 3 4 4 4 4 4 3 3 3 4 4 5 6 7 8 7 6 6 5 4 5 7 6 4 3 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 10 16 18 14 8 3 2 2 2 1 1 1 3 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 5 6 5 4 4 3 2 2 3 5 6 7 7 8 9 8 7 6 6 6 7 8 6 2 -0 -1 0 2 4 5 6 5 5 4 3 3 3 4 7 9 10 8 7 6 8 10 11 11 10 12 14 13 10 5 2 2 2 3 4 4 4 4 4 4 4 5 5 4 3 4 5 5 4 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 3 3 4 5 6 6 6 6 5 5 4 4 4 4 5 4 5 5 4 4 4 4 4 5 5 5 6 6 8 13 12 6 5 6 7 9 10 9 17 19 10 3 1 2 2 2 3 4 5 5 5 4 6 10 11 12 15 16 16 16 13 7 4 6 6 8 7 1 0 7 10 8 5 1 -1 -0 3 5 5 5 6 6 8 11 6 3 0 2 2 1 2 5 6 8 4 4 11 13 7 5 8 11 11 10 7 10 8 8 11 10 8 6 3 4 9 7 2 3 3 0 0 4 6 17 23 17 16 17 15 12 12 12 10 6 5 5 5 4 4 6 12 18 11 0 2 5 5 5 5 4 4 5 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 4 4 4 5 5 5 4 4 5 5 5 5 5 6 7 7 7 5 4 2 2 2 2 3 5 6 6 7 6 5 6 7 8 6 2 1 3 6 8 9 7 6 4 3 2 3 4 4 5 5 5 5 4 4 4 4 5 5 5 5 6 6 5 4 4 4 4 5 5 4 4 4 3 3 2 2 3 3 3 4 5 5 5 6 6 7 7 7 7 7 7 8 9 10 13 12 10 9 11 13 10 6 5 5 4 5 5 5 4 4 2 2 2 2 3 3 3 3 3 3 3 5 10 13 11 7 4 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 6 7 8 8 7 6 5 5 5 6 5 3 3 2 2 2 2 3 3 2 3 3 3 3 4 3 4 4 5 5 6 5 5 5 6 7 8 8 7 6 7 7 8 9 12 14 11 7 4 2 2 1 0 1 3 3 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 5 6 6 6 4 3 2 2 2 4 4 5 6 7 8 9 9 9 8 7 8 9 9 6 3 0 -1 1 2 4 5 6 4 3 3 3 3 5 8 12 12 10 9 8 8 8 8 7 7 9 13 16 15 10 6 4 4 4 5 5 4 4 3 4 4 4 4 3 4 4 5 5 4 3 3 3 4 4 4 4 4 3 3 3 4 3 3 4 3 2 3 3 4 5 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 4 5 5 6 6 6 8 15 14 6 5 7 10 11 6 10 21 19 8 2 2 2 3 3 3 3 4 4 4 5 10 15 13 12 14 12 10 10 10 9 7 6 4 5 7 5 3 8 13 15 7 -0 -0 1 4 4 5 6 4 3 10 17 12 3 -1 1 1 2 1 4 8 9 5 5 10 11 7 6 5 5 8 11 13 16 17 16 11 7 4 6 10 17 15 5 2 6 7 3 2 6 11 21 24 21 20 18 14 11 10 10 7 6 5 5 5 5 4 5 8 7 -1 -2 5 9 7 5 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 4 5 6 6 6 5 5 5 6 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 5 4 2 2 2 2 3 5 5 7 7 8 8 8 8 8 8 5 1 2 5 9 10 9 8 6 5 4 4 4 5 5 6 6 6 5 5 4 4 3 3 4 5 5 5 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 6 7 7 8 8 8 7 7 7 8 13 15 11 6 6 9 13 11 7 5 5 5 4 4 4 4 3 3 2 2 3 3 4 3 3 3 3 3 7 12 15 13 9 4 3 3 3 3 4 4 4 3 3 3 4 3 3 3 3 4 5 7 8 8 7 6 5 5 5 5 4 3 3 2 2 2 3 3 2 2 2 2 3 3 3 3 4 5 6 5 6 6 5 6 8 9 8 8 8 8 7 7 8 10 10 10 7 5 2 1 -0 -1 1 3 2 2 2 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 5 5 6 7 7 6 4 3 2 2 2 3 4 5 5 7 8 10 11 11 9 8 9 10 9 8 5 3 2 3 4 5 4 3 3 4 5 5 7 10 13 14 12 11 10 9 7 5 5 5 6 10 15 17 15 10 8 7 7 7 6 4 3 3 4 4 4 4 4 4 5 5 4 3 2 2 3 4 4 5 5 4 4 4 4 4 4 3 3 3 2 3 3 4 5 5 6 5 5 6 6 6 5 4 4 4 4 5 6 6 6 6 5 5 5 6 6 6 10 16 12 6 7 10 12 13 10 15 18 14 5 2 3 3 3 3 3 4 3 3 3 8 14 13 9 9 9 7 7 7 8 10 11 8 4 3 9 9 2 -0 8 11 8 2 1 2 3 3 6 7 1 1 9 14 11 3 -0 1 3 4 4 7 8 8 8 9 11 10 8 10 11 11 15 21 22 18 15 12 7 3 1 3 11 21 14 6 8 15 18 14 13 14 15 21 22 18 16 14 13 10 9 7 6 5 5 5 5 4 3 4 5 4 2 5 10 16 12 5 5 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 4 4 4 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 2 2 3 3 5 6 6 6 7 8 9 9 9 8 6 3 2 4 6 9 9 8 7 6 6 6 6 6 7 6 6 6 6 7 6 6 5 5 4 4 4 4 4 3 3 3 3 4 5 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 6 7 8 8 8 8 8 8 10 18 18 11 8 8 11 14 14 9 5 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 4 7 11 15 16 13 9 6 5 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 4 7 8 8 8 6 5 5 5 5 4 3 3 2 2 3 3 3 2 2 2 3 3 3 4 5 5 5 6 6 6 5 5 7 7 8 9 10 9 8 7 7 7 9 9 8 6 3 2 1 1 2 2 2 2 2 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 5 6 6 8 8 9 7 5 3 2 3 3 3 4 4 5 7 9 11 11 9 8 8 9 11 13 13 11 8 7 5 4 3 2 3 4 7 7 9 11 13 13 12 11 10 9 7 5 4 4 4 6 11 15 15 12 10 9 9 8 6 5 3 3 3 4 4 4 4 4 5 4 3 2 2 2 3 4 5 6 5 5 4 5 6 6 5 5 4 4 3 3 3 3 4 4 4 5 5 5 6 6 5 5 4 4 5 6 6 7 7 6 6 6 5 6 6 6 10 15 10 5 7 12 14 15 20 23 13 7 3 3 4 4 3 3 4 4 4 3 4 11 14 10 7 7 7 7 7 7 8 10 10 9 5 5 11 10 0 -4 3 5 5 4 3 3 2 2 6 2 -4 2 8 7 5 3 1 3 6 6 8 11 9 7 9 12 15 13 10 13 17 21 24 25 20 12 7 3 -1 -6 -7 -3 4 14 15 15 22 22 18 16 21 25 23 19 15 10 8 11 10 8 6 5 5 5 4 5 5 3 1 3 5 5 5 7 12 19 14 6 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 4 4 4 4 5 5 6 6 6 5 5 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 4 3 3 2 2 3 4 6 7 8 7 5 5 7 8 9 8 6 4 3 4 5 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 7 7 6 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 6 6 7 8 8 10 13 16 20 22 17 12 12 12 12 14 15 11 5 4 4 5 5 6 6 6 6 6 5 5 4 3 3 3 4 7 13 18 18 16 12 9 8 7 6 5 5 4 4 3 3 3 4 4 4 4 4 4 3 3 3 4 6 8 8 8 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 6 5 5 5 5 5 5 6 8 9 10 9 8 7 7 7 8 8 7 5 4 4 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 5 6 6 6 8 9 10 10 8 5 3 3 2 3 3 3 4 5 8 10 11 9 7 6 7 9 14 18 17 13 10 6 3 2 3 4 5 7 9 10 10 10 10 9 9 9 7 6 6 5 4 4 4 7 10 10 10 8 8 8 8 7 5 4 3 3 4 4 4 4 4 4 3 2 2 2 3 4 5 6 6 5 5 5 6 6 7 7 7 6 5 4 4 3 3 4 3 4 4 4 5 6 6 6 4 4 5 5 6 6 7 7 7 6 6 6 6 7 6 10 14 10 6 8 11 13 16 23 17 8 4 3 4 4 4 4 4 4 4 4 4 6 10 9 7 7 7 7 9 9 10 11 10 10 8 5 7 12 9 -2 -3 1 3 2 5 6 5 4 5 10 4 -1 2 0 -4 -1 1 3 8 11 12 14 16 13 9 11 13 14 12 9 10 12 15 14 11 6 2 -0 -3 -8 -13 -11 -6 -4 3 12 21 30 23 13 11 16 22 20 12 6 4 6 9 9 7 6 6 7 5 5 5 4 1 0 4 7 6 6 8 12 18 15 7 5 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 4 3 2 2 2 3 5 7 9 10 7 4 3 5 6 6 6 5 3 4 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 7 7 8 9 10 9 8 7 6 4 4 4 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 7 10 17 24 27 26 19 14 12 13 13 11 10 11 10 6 4 4 5 6 8 9 10 9 8 7 6 5 4 3 4 6 11 19 20 17 13 11 9 8 8 7 7 6 4 4 4 3 3 4 4 4 4 5 5 5 4 3 3 4 6 9 9 8 7 5 5 5 4 4 4 4 4 5 5 5 5 4 3 4 4 5 5 5 5 5 5 4 4 5 4 4 5 6 7 9 10 10 8 6 6 6 8 7 7 7 6 5 4 3 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 5 4 4 5 6 6 6 7 9 10 11 9 7 4 3 2 1 2 3 4 5 7 8 9 7 6 5 4 7 13 18 16 11 7 5 4 3 4 5 7 8 9 9 9 8 7 6 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 7 7 6 5 4 4 3 3 3 4 4 4 3 2 2 3 4 4 5 5 5 4 4 5 5 6 7 8 7 7 6 5 4 4 4 4 4 4 4 3 4 5 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 8 13 16 10 7 8 8 11 15 15 5 2 3 3 3 4 4 3 4 5 5 5 5 6 7 6 6 6 6 8 10 10 12 14 13 13 9 2 3 8 7 1 0 3 6 4 4 5 6 7 11 13 7 5 6 0 -6 -4 1 8 13 16 18 21 18 12 8 10 14 13 9 3 1 2 1 -1 -1 -1 -2 -1 -1 -4 -6 -3 -2 -4 -1 4 16 24 18 13 11 10 10 6 -1 -3 1 7 10 10 6 6 8 8 5 5 6 3 -0 1 6 7 6 6 8 12 20 18 8 4 4 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 5 6 5 5 5 4 4 3 2 2 3 4 5 7 9 9 7 4 3 3 4 4 4 3 3 4 5 5 5 5 5 5 5 5 6 5 6 6 6 7 7 7 6 6 7 8 9 9 7 6 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 8 16 26 26 21 17 15 15 15 13 11 9 8 8 9 7 5 5 6 8 10 12 12 12 11 9 7 6 5 4 4 6 12 17 16 14 12 10 9 8 8 9 8 7 5 5 3 3 3 4 4 4 4 5 5 6 5 4 3 3 4 7 9 9 8 6 5 5 5 5 5 5 5 6 8 9 8 6 5 3 4 5 5 6 5 5 5 5 5 5 4 4 4 4 5 7 9 9 9 8 7 6 6 6 7 7 7 6 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 5 4 4 5 6 6 6 7 7 9 10 9 7 5 3 2 1 2 3 5 5 6 7 8 7 6 4 3 5 9 12 11 6 3 2 3 4 5 5 6 7 8 8 8 6 5 3 2 2 2 3 4 5 5 5 4 3 3 3 4 5 4 5 6 6 6 5 5 4 3 3 4 5 4 3 3 3 4 4 5 5 5 5 5 4 3 3 4 5 7 7 7 7 6 5 5 5 5 6 6 5 3 3 3 4 5 5 5 6 7 7 6 7 7 7 7 7 8 8 8 9 14 20 18 11 8 6 3 10 13 6 1 2 2 2 3 3 3 3 4 4 5 6 6 5 4 4 4 5 6 6 6 9 11 13 16 17 10 1 0 6 8 3 1 3 5 5 4 4 5 8 12 10 8 13 13 7 2 -0 7 16 17 16 18 20 14 6 3 5 8 8 5 1 -2 -3 -6 -4 0 1 2 6 7 4 10 17 10 2 1 6 10 9 9 10 10 8 3 -4 -9 -4 6 10 9 9 6 6 8 7 5 5 6 3 1 4 6 6 5 5 8 16 25 19 7 4 4 5 5 5 5 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 3 2 3 3 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 3 3 3 2 3 3 4 5 6 7 7 6 5 4 4 3 4 3 3 3 4 4 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 5 5 6 6 7 7 7 6 6 6 6 7 6 5 5 5 4 5 5 4 4 5 4 5 4 4 4 4 4 4 4 5 6 6 7 7 7 10 20 24 17 11 12 17 19 16 11 8 7 7 8 8 6 5 6 7 8 9 11 12 13 12 10 7 6 5 5 5 6 8 8 7 8 9 10 9 10 11 12 12 11 8 6 4 3 3 3 4 3 4 5 5 5 6 6 4 3 3 5 8 9 9 7 5 4 4 4 5 5 6 8 9 11 11 9 6 3 3 4 5 6 5 5 5 5 5 5 4 3 3 3 4 4 6 7 8 9 9 8 8 7 7 6 6 6 6 5 5 5 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 4 5 6 6 7 8 9 8 7 5 3 2 2 2 4 6 6 5 6 8 7 6 4 3 5 7 8 6 4 2 2 3 4 5 5 6 6 7 7 6 5 3 1 -1 -1 -1 1 4 6 6 6 5 4 3 3 4 4 5 6 6 6 6 5 5 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 6 6 7 7 6 5 5 6 7 8 8 6 4 4 3 3 4 5 6 6 7 7 7 7 7 8 8 8 9 11 13 17 22 26 19 9 6 0 -3 8 10 2 0 2 2 2 2 2 3 3 3 4 4 5 5 5 4 3 4 6 8 6 3 3 5 8 13 16 14 7 3 8 7 4 5 5 4 5 5 5 5 7 7 4 9 16 12 11 10 11 18 20 14 9 11 14 11 6 3 2 1 2 2 5 4 -2 -8 3 11 7 6 11 11 9 17 25 14 3 3 7 8 3 2 5 8 4 0 -3 -2 8 14 11 8 7 6 7 7 6 5 5 6 3 2 4 5 4 4 5 12 24 27 15 4 4 4 5 6 5 6 5 5 4 5 5 5 4 5 5 4 4 4 4 4 4 3 2 3 4 5 6 6 6 6 5 5 5 5 6 6 5 5 5 4 4 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 6 7 6 7 7 11 21 24 17 11 14 21 21 14 8 6 7 8 8 6 5 5 6 7 7 8 9 9 10 9 9 7 6 5 5 5 6 4 2 2 4 6 7 8 8 10 15 18 19 14 8 5 4 3 3 3 4 4 4 5 5 6 6 6 4 3 4 6 9 9 8 6 5 4 4 5 5 6 7 9 10 11 9 7 4 3 3 4 5 5 5 5 4 4 4 4 4 3 3 3 3 4 5 6 8 9 10 10 10 9 7 6 6 6 6 6 5 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 4 4 5 6 6 6 6 7 5 4 3 2 2 3 5 6 6 6 6 8 8 6 4 4 5 6 6 5 4 3 3 3 3 4 4 5 5 6 6 5 4 2 -0 -2 -2 -2 1 4 5 6 6 5 5 4 3 4 4 5 6 7 7 6 5 4 3 3 3 4 4 4 4 4 5 5 5 4 4 4 5 5 4 4 3 4 5 6 6 6 6 5 4 5 6 8 9 9 7 5 5 4 3 3 4 6 6 6 7 6 7 8 9 10 11 15 20 21 21 21 22 19 10 5 -1 -1 7 7 2 1 2 2 2 2 2 2 3 4 4 4 4 4 5 6 6 6 8 11 9 4 0 2 4 6 11 15 12 8 6 4 7 8 7 7 5 4 5 6 5 2 2 8 10 9 10 13 21 22 14 6 3 5 8 10 11 8 4 3 0 3 7 8 2 -5 8 17 14 10 10 8 4 3 0 -4 4 9 4 5 5 6 6 5 1 3 7 15 22 18 11 8 6 7 8 7 6 6 7 5 4 4 4 4 4 4 7 17 27 21 7 3 4 4 5 6 6 6 5 4 4 4 5 5 5 5 5 4 4 5 5 5 4 2 2 3 6 7 8 7 6 6 5 5 5 6 5 5 5 5 4 4 3 3 2 3 3 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 5 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 6 6 6 7 8 15 24 25 17 12 19 23 17 9 5 6 8 8 6 3 3 5 6 6 7 7 8 8 8 8 8 6 6 5 5 5 5 4 2 2 4 6 8 6 3 6 11 17 21 18 11 6 3 3 3 3 4 4 4 4 5 6 6 7 5 4 4 5 7 8 9 7 5 4 4 5 5 6 7 8 8 9 9 7 4 3 3 4 5 5 5 5 4 5 4 4 4 4 4 3 2 2 3 4 5 7 8 10 12 13 12 10 8 6 5 4 4 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 5 4 4 5 5 5 5 5 5 5 4 3 3 3 3 4 5 6 5 6 8 9 6 4 4 6 6 7 6 5 5 4 3 3 3 4 4 4 5 5 5 4 2 0 -0 -0 -0 1 3 4 5 5 5 4 3 3 4 4 5 6 7 7 6 5 3 2 2 3 4 4 4 4 5 5 5 5 4 4 5 5 6 5 4 3 4 5 6 7 6 6 5 4 4 5 8 9 9 7 6 5 4 3 4 5 5 6 5 5 7 9 11 13 16 22 28 27 23 17 11 10 15 16 14 11 11 10 6 1 1 2 2 3 3 3 3 4 4 4 4 3 4 8 11 10 7 6 11 11 5 2 2 3 4 7 12 16 13 6 5 8 8 9 8 5 3 4 5 4 4 8 9 6 6 5 11 20 17 5 1 2 5 7 10 13 11 7 5 4 7 6 3 2 5 13 18 18 12 6 2 -4 -6 -7 -6 6 13 8 4 5 10 12 8 8 12 20 26 24 16 9 7 7 8 8 7 6 7 7 5 3 4 5 5 4 5 10 21 26 15 5 3 3 4 5 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 2 3 3 5 7 8 7 6 5 5 5 5 6 6 5 4 4 3 3 3 3 3 3 4 4 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 6 5 5 5 5 4 5 5 5 4 5 5 4 5 4 4 4 4 5 5 5 5 5 6 6 6 7 9 14 21 26 20 12 14 21 20 10 5 5 7 8 8 4 -2 -2 3 6 6 7 7 8 9 10 12 12 9 7 7 6 6 6 5 5 6 6 8 9 4 1 4 5 9 15 16 12 8 5 2 2 3 3 3 4 4 4 5 6 6 6 5 4 4 6 7 8 8 6 4 3 4 5 6 7 7 7 8 8 6 5 4 3 3 4 5 5 5 4 4 5 5 4 4 4 3 2 2 2 2 3 4 5 7 10 12 15 15 12 10 7 4 2 3 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 7 7 7 6 6 6 5 5 5 4 4 3 3 3 4 5 5 5 6 7 9 9 7 4 4 6 7 8 7 7 6 5 4 3 3 3 4 4 4 4 4 4 3 2 2 2 3 3 3 4 4 4 5 4 4 4 4 4 5 5 6 6 6 5 3 2 2 2 3 4 4 4 4 5 5 4 4 5 6 6 6 5 3 3 4 5 6 7 7 6 4 4 3 4 6 7 8 8 6 5 4 4 4 5 5 4 4 8 13 16 19 23 30 34 32 24 18 14 9 4 9 20 24 23 18 10 4 1 1 2 3 4 5 5 5 4 3 4 4 5 8 13 14 12 6 4 9 11 7 4 3 3 5 7 10 13 12 8 9 7 7 7 4 3 3 4 5 4 7 8 7 3 3 3 6 11 7 0 2 5 7 9 10 10 9 7 4 5 8 4 -1 -2 11 16 18 15 7 2 1 -0 4 10 13 14 8 6 4 4 4 10 11 15 18 24 22 16 10 7 6 7 8 7 6 6 6 5 3 3 3 5 6 6 6 12 23 23 11 3 3 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 5 6 6 5 5 5 6 6 5 5 4 3 3 2 3 3 3 4 5 5 5 5 4 4 4 3 4 4 5 5 5 5 6 6 7 7 6 5 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 8 13 20 24 20 12 8 13 18 13 6 5 7 8 8 8 5 -1 -5 -1 5 6 6 7 8 8 11 15 17 15 13 12 11 11 9 9 9 10 9 9 8 5 4 5 5 5 8 10 10 9 7 4 2 2 2 3 4 4 4 5 6 6 7 6 5 4 4 6 7 8 7 5 3 3 4 6 7 7 7 7 6 6 5 5 4 3 3 4 5 5 4 4 4 4 4 4 4 4 3 2 2 1 1 2 3 4 6 8 11 14 15 14 12 8 6 5 4 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 10 10 10 9 8 8 7 6 6 6 5 5 4 4 4 5 5 6 7 8 10 10 8 5 5 7 8 8 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 5 6 7 7 6 5 3 3 3 4 5 6 7 6 4 3 3 3 4 6 7 7 6 5 5 4 4 5 5 5 10 17 24 28 29 30 29 26 22 17 16 19 18 11 9 15 20 19 13 6 3 2 2 3 4 5 6 6 6 4 3 4 7 11 15 16 14 10 6 5 8 9 9 7 4 2 3 5 8 6 3 5 4 5 7 4 0 0 2 4 4 2 3 2 0 0 0 3 5 7 4 1 2 6 8 9 9 7 5 5 5 5 5 6 5 0 7 5 9 12 5 4 6 12 17 17 16 12 3 -1 4 6 1 3 10 14 15 16 14 9 6 6 7 8 7 7 7 6 5 4 3 4 5 6 7 6 6 11 20 19 8 2 3 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 3 2 2 3 4 4 4 5 5 5 5 5 4 4 3 2 2 3 3 4 5 6 7 6 5 4 3 3 3 4 4 4 4 5 5 6 6 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 6 5 6 5 5 6 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 9 14 22 21 13 8 8 11 14 9 6 9 12 11 8 6 6 2 -2 0 3 5 4 5 6 7 8 12 15 17 18 17 16 16 15 13 12 12 12 11 7 6 7 7 6 5 5 7 8 10 10 8 6 4 3 3 3 3 4 5 5 6 6 6 6 5 4 5 6 7 7 6 4 3 4 5 6 7 6 6 5 5 6 6 5 4 3 3 4 4 4 4 4 3 4 4 4 4 3 3 2 2 1 2 2 2 3 4 6 9 11 13 13 13 11 9 6 5 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 8 9 10 10 10 9 9 9 9 8 8 8 8 6 5 5 5 6 6 8 9 10 11 9 6 6 7 9 9 7 6 6 6 5 5 5 6 6 5 6 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 4 4 4 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 3 4 5 7 7 7 6 4 3 3 3 3 4 5 6 6 5 4 3 3 3 4 6 6 6 5 4 3 4 4 5 12 22 29 31 28 22 16 10 9 11 14 18 22 22 19 13 10 9 9 6 3 2 2 2 3 3 5 7 7 6 4 4 6 10 14 15 14 10 7 6 8 8 8 13 12 6 1 -3 -2 3 1 1 5 4 5 4 4 3 3 3 5 3 1 1 -1 -1 -0 -0 4 8 8 7 4 4 8 11 12 10 9 8 7 6 5 5 8 10 10 10 4 4 5 4 6 10 19 25 21 11 0 -6 1 7 3 1 4 9 14 17 16 11 7 5 7 8 7 6 6 6 6 5 5 5 6 7 7 6 5 5 10 18 18 8 3 4 4 5 6 6 6 6 6 5 5 5 5 4 5 5 5 5 4 5 5 6 5 5 4 4 3 3 3 4 4 5 5 5 5 5 4 3 2 2 3 3 3 5 6 8 7 6 5 4 3 3 3 3 3 3 4 4 5 5 6 7 7 6 5 4 4 4 4 4 3 3 4 4 4 4 5 5 6 6 6 6 7 6 6 6 5 6 6 6 6 6 6 6 6 6 5 5 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 6 9 14 17 21 19 10 8 11 14 11 6 7 13 16 15 10 7 6 4 3 4 4 5 4 4 4 5 5 6 9 11 14 16 16 16 15 14 13 13 12 10 9 9 9 8 7 6 6 6 7 9 11 13 11 9 6 4 3 3 4 5 5 5 6 6 6 6 5 4 5 6 6 6 6 5 4 4 5 5 6 5 4 5 5 6 6 5 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 1 2 2 3 4 6 8 10 12 12 11 9 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 6 6 7 8 9 9 9 10 10 10 11 10 9 7 6 5 6 7 8 10 11 12 9 7 6 7 9 9 8 6 6 6 6 6 6 7 7 7 8 7 6 6 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 4 3 3 4 4 3 4 4 4 4 4 4 6 7 7 7 5 4 3 3 2 3 3 4 5 5 5 4 3 3 3 3 4 4 4 4 3 2 2 5 13 23 28 26 21 12 5 0 1 5 8 12 18 17 14 15 11 8 5 5 4 2 1 1 2 2 3 5 7 6 5 6 8 11 12 11 10 9 6 4 6 9 7 9 19 18 8 1 -3 0 4 0 3 5 5 3 1 3 5 6 5 6 5 3 2 3 3 2 4 7 8 10 11 11 8 9 11 13 13 10 10 11 9 8 7 8 10 12 9 8 3 -2 2 7 10 16 18 15 8 1 4 12 12 5 6 11 17 18 19 17 12 7 7 8 8 6 5 5 6 5 4 6 7 8 8 7 6 4 5 9 16 19 11 4 5 5 6 6 6 6 6 6 5 5 5 5 4 4 5 5 5 4 5 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 4 4 3 2 3 3 4 4 5 7 7 6 5 4 4 4 3 3 3 3 3 3 4 5 5 6 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 5 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 6 8 15 23 21 17 16 9 10 15 14 7 4 6 7 8 12 12 8 5 4 4 4 5 5 4 4 4 4 4 4 5 6 7 9 11 11 10 11 11 10 9 9 9 9 9 9 9 8 7 6 7 8 10 13 15 14 10 7 4 3 4 5 5 5 5 5 6 7 6 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 5 5 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 4 6 8 10 10 10 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 4 5 4 4 4 5 6 7 7 7 6 7 8 9 9 8 7 7 7 6 6 7 10 11 12 12 10 8 7 6 6 7 7 7 7 7 8 8 8 8 7 7 8 9 11 13 13 12 10 8 7 7 7 7 7 6 5 5 5 6 6 4 4 3 4 4 4 4 5 4 4 4 3 3 2 2 2 2 4 7 7 6 5 4 5 5 4 3 2 2 3 4 5 4 4 4 4 5 5 5 5 5 3 3 10 21 24 11 -1 -1 2 3 4 5 5 11 21 26 23 12 2 -4 -3 6 5 -4 -8 -5 -2 2 4 5 5 4 4 6 9 11 11 10 9 8 8 9 9 9 9 8 7 5 4 7 6 4 5 3 4 7 4 6 7 6 4 3 4 4 5 8 5 4 3 4 4 4 4 4 3 4 11 16 12 4 3 5 3 4 1 0 -0 2 3 5 7 7 8 13 15 8 3 5 10 13 4 -2 2 8 9 10 16 21 23 22 21 19 16 12 9 8 7 4 4 6 6 4 5 7 9 10 11 10 8 6 6 4 3 5 10 14 10 4 4 5 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 6 5 5 5 4 4 3 3 4 4 4 5 5 6 5 4 4 5 5 5 4 4 3 3 3 3 5 5 6 6 5 5 4 5 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 5 6 8 18 26 16 6 8 10 14 17 17 12 7 5 4 2 1 2 5 5 5 4 5 5 5 5 4 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 8 9 9 9 9 10 10 12 14 16 16 15 15 13 11 9 7 6 5 4 4 5 6 6 6 5 4 4 4 5 6 6 6 5 4 3 2 2 2 3 4 4 4 4 3 4 5 6 5 5 5 6 6 7 7 7 6 6 6 5 5 4 4 3 2 2 1 2 3 3 3 3 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 5 5 6 6 7 7 7 8 9 10 10 10 10 12 15 16 13 10 7 6 6 6 6 5 4 4 4 4 5 4 4 3 3 4 4 5 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 8 7 6 5 4 4 4 5 5 5 5 5 4 5 5 5 5 6 8 14 16 11 5 3 3 4 5 5 5 6 7 6 5 4 3 6 8 6 2 -0 -2 -1 -1 2 9 11 7 5 5 8 11 11 8 9 19 28 26 17 13 10 8 8 11 16 19 14 6 4 11 16 16 14 11 6 3 6 8 8 7 5 5 6 7 6 3 7 11 10 9 6 3 3 4 6 8 9 8 7 9 6 3 6 9 9 10 11 12 11 10 12 15 14 13 14 15 14 11 9 8 10 13 15 16 13 9 8 9 10 8 5 8 3 2 3 2 1 0 0 4 9 12 11 14 14 9 6 5 3 2 3 6 6 4 3 3 3 1 6 10 10 9 9 9 8 8 7 6 6 5 5 5 4 4 6 8 8 9 11 8 4 3 3 3 5 6 6 6 6 6 8 9 9 10 11 11 9 7 7 7 7 6 5 5 5 4 3 3 2 1 2 5 8 7 5 7 9 10 8 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 7 7 7 6 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 4 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 12 15 13 14 12 9 10 13 13 9 4 4 5 6 5 5 6 4 3 4 5 6 5 6 6 6 6 6 6 7 5 5 4 3 3 3 3 3 4 4 5 5 5 6 5 6 6 6 5 5 6 6 6 6 6 6 5 4 4 4 5 5 7 8 10 10 11 11 12 11 11 11 10 10 10 9 8 7 5 5 5 5 5 5 6 5 5 6 8 7 6 5 5 6 7 6 6 6 5 6 6 6 7 6 7 8 8 8 7 7 6 5 4 5 5 5 6 7 7 6 6 6 5 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 4 5 6 8 11 11 9 9 9 11 14 16 15 12 9 8 7 7 6 6 5 5 5 5 4 4 3 3 3 4 4 4 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 5 5 5 5 5 5 4 5 5 6 7 9 9 8 7 6 6 6 6 6 6 5 5 5 5 6 6 6 7 10 14 15 10 4 2 3 4 5 6 7 8 7 5 4 3 2 3 1 -1 -0 0 0 1 1 2 5 9 8 4 7 14 17 15 12 12 13 15 13 11 7 3 2 5 10 16 17 10 3 4 8 9 8 9 8 5 5 7 8 9 8 6 7 7 7 6 3 5 7 9 9 6 4 4 3 4 6 6 6 8 10 8 6 6 5 6 8 8 8 8 8 9 11 13 16 18 15 8 3 3 4 6 9 12 16 16 11 8 10 9 5 3 1 -2 0 4 3 1 -1 2 5 8 11 12 13 10 7 5 5 4 4 5 5 5 4 5 4 2 3 7 10 9 9 8 8 8 7 7 6 6 5 5 5 5 5 7 6 5 8 10 9 9 8 4 4 6 7 7 6 6 7 8 9 10 10 10 10 9 8 7 7 7 7 6 5 4 4 4 3 2 1 2 7 11 9 6 5 7 8 8 6 5 5 5 5 5 6 6 6 6 6 6 5 6 6 7 7 7 6 5 5 4 4 3 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 3 3 3 3 3 3 4 4 6 12 18 17 12 9 9 11 14 15 9 5 5 5 5 5 6 5 4 3 3 5 5 5 6 6 6 6 6 7 7 7 6 5 5 4 4 3 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 6 4 3 3 4 6 7 8 9 10 11 12 12 12 12 12 12 13 14 14 11 7 5 5 5 5 6 6 5 5 6 7 7 6 5 5 5 6 7 6 6 5 6 5 6 6 6 6 7 9 11 9 7 7 7 6 5 6 6 6 7 7 7 6 6 5 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 9 8 8 6 5 5 6 8 10 10 8 7 8 9 8 9 9 9 8 8 7 6 7 7 7 7 6 6 6 6 5 5 6 5 5 5 4 4 4 4 5 5 6 7 7 6 6 6 6 5 6 6 6 5 5 5 4 4 4 4 5 6 7 9 11 11 10 9 8 9 10 10 10 9 7 7 8 8 9 10 11 13 16 15 10 5 3 4 5 6 7 7 7 6 4 3 3 2 1 1 3 3 3 3 4 4 4 6 8 4 2 13 28 34 31 28 25 18 10 3 -3 -5 -2 4 9 13 16 14 10 7 5 4 3 8 12 10 7 6 6 8 10 11 12 11 8 6 5 2 2 4 5 3 1 4 8 9 10 11 8 6 5 5 5 5 6 8 8 9 9 8 6 7 9 10 11 10 5 4 2 -2 0 6 7 6 3 6 14 16 13 10 8 6 6 13 18 10 4 -1 -2 3 7 7 7 8 8 7 8 5 6 8 9 9 7 5 6 8 6 3 3 5 8 9 8 7 6 6 6 6 6 5 5 5 6 8 6 4 3 4 5 5 5 9 14 13 9 13 17 11 5 5 6 5 5 5 6 6 7 7 7 7 7 8 7 6 4 3 3 3 3 4 3 2 4 7 10 10 7 6 6 6 6 6 5 6 5 6 6 7 8 8 7 7 7 7 7 7 7 8 7 6 6 5 4 4 3 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 5 5 9 15 13 9 8 9 10 12 12 9 7 6 6 6 6 6 3 -5 -3 4 5 5 6 6 6 7 7 7 8 8 7 7 6 6 6 6 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 9 9 7 5 3 3 3 4 5 6 6 7 8 10 12 13 14 14 14 16 18 17 13 9 6 5 6 6 6 6 6 6 6 6 6 5 4 4 4 5 5 6 5 5 5 5 6 5 5 6 8 8 8 8 7 7 8 8 8 8 10 9 7 7 8 7 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 11 12 12 12 14 16 17 16 13 12 10 13 19 15 9 8 8 5 3 7 10 12 13 13 13 12 12 10 9 9 9 9 8 8 9 10 12 14 13 12 10 11 12 12 10 11 14 14 14 14 15 15 15 14 12 9 9 12 15 18 17 12 9 7 4 3 3 6 9 13 18 20 21 16 14 12 11 11 11 11 10 10 8 7 7 8 8 9 10 11 11 11 11 12 13 12 11 12 13 14 14 14 14 15 16 16 15 14 12 11 11 13 13 14 13 12 12 11 10 10 10 10 10 11 12 14 15 15 12 10 13 13 13 13 13 11 11 13 14 14 14 14 14 14 14 13 11 12 13 14 15 17 17 18 18 18 17 15 14 14 14 13 13 14 13 13 13 13 12 11 11 12 13 14 13 12 11 9 7 6 7 12 16 14 14 16 18 20 21 21 20 17 16 15 14 13 11 8 7 10 16 19 20 19 17 14 12 12 12 12 12 12 13 14 13 13 13 14 14 15 16 17 19 20 20 20 20 18 17 18 19 18 17 16 15 16 16 16 15 15 17 18 18 18 16 15 14 13 13 13 13 12 12 12 12 11 11 10 11 12 12 12 13 14 13 12 11 10 10 11 11 12 12 12 12 12 11 12 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 10 11 11 12 13 13 10 7 6 6 7 8 9 9 9 7 7 8 10 10 11 12 12 11 11 12 11 11 11 12 12 13 14 14 13 11 11 12 12 13 12 11 11 10 9 9 10 10 10 11 11 11 12 12 12 13 13 14 13 13 13 13 13 13 13 12 14 16 16 14 14 18 17 13 11 8 5 4 8 11 11 11 10 10 13 15 16 15 15 15 15 15 18 21 24 24 21 18 17 16 15 14 13 13 14 17 19 21 23 22 19 17 15 13 13 12 10 8 8 9 9 9 9 8 8 8 8 10 12 13 12 10 9 10 12 12 13 12 11 11 11 13 13 13 13 13 13 13 14 19 22 21 15 9 10 12 13 12 12 12 13 13 13 13 11 13 15 15 15 15 16 16 16 17 17 16 16 15 14 12 12 11 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 12 9 6 5 15 19 15 11 10 10 8 6 5 8 10 12 13 13 13 12 11 9 9 8 7 7 7 9 11 14 15 14 12 11 11 13 12 11 11 12 13 13 14 14 15 15 14 12 11 12 14 17 17 16 13 11 8 6 4 4 5 8 13 19 20 19 14 13 13 12 11 11 10 10 10 9 8 7 8 8 9 10 10 10 11 11 12 13 13 12 12 13 14 14 13 13 14 15 15 15 14 12 12 12 13 14 15 14 12 11 10 10 10 11 10 11 12 13 13 14 13 12 11 12 14 15 15 13 9 10 14 15 15 15 14 13 13 13 12 12 14 15 16 17 18 18 18 17 16 16 14 13 13 12 12 12 13 12 12 12 12 11 11 11 12 13 14 13 13 12 10 8 4 3 7 13 16 17 19 19 21 23 23 22 20 18 17 16 16 14 11 10 11 14 16 17 17 16 14 13 13 12 13 13 14 14 15 15 14 12 13 14 15 16 18 19 20 21 19 18 18 18 18 19 18 17 16 16 16 15 15 14 13 11 9 11 14 14 14 14 13 13 13 13 13 12 12 11 11 11 11 11 12 13 14 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 11 11 11 11 10 11 11 11 11 10 10 9 10 10 11 12 13 12 10 8 8 8 8 9 9 11 12 10 9 8 7 7 9 10 10 10 10 11 11 11 11 10 10 11 13 13 14 14 13 11 11 12 12 12 11 11 10 9 10 10 11 12 10 10 10 10 11 12 12 13 14 14 14 13 12 12 13 13 13 13 14 15 16 17 17 16 12 7 5 5 8 9 12 13 11 10 10 11 13 15 16 16 15 15 14 15 19 22 26 25 19 17 15 15 16 16 15 16 17 20 21 21 19 16 15 13 13 12 13 13 11 9 9 10 10 10 10 9 7 7 7 9 11 12 10 9 9 11 13 14 13 13 11 11 11 12 13 13 13 14 14 14 16 19 21 18 12 8 10 12 12 12 12 13 13 13 12 12 13 13 14 14 15 16 16 15 16 16 16 16 16 15 14 14 12 12 14 15 nan
nan nan nan nan nan 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 12 14 9 6 10 12 12 11 9 10 10 10 9 8 7 7 8 9 12 16 18 16 13 12 11 12 13 12 11 11 11 12 12 14 14 14 14 13 13 13 14 16 17 18 17 14 11 8 6 4 4 6 10 16 21 19 16 13 12 12 12 11 10 10 10 10 10 9 8 8 8 9 10 10 10 11 11 12 13 13 13 12 13 14 14 14 13 14 14 14 14 13 13 13 14 14 15 14 13 12 11 11 11 11 11 12 12 12 13 12 12 12 13 14 14 16 17 14 10 8 11 15 15 15 14 12 12 12 13 14 15 16 17 18 18 18 18 16 16 15 14 14 13 12 12 12 12 12 12 12 12 11 11 11 11 12 13 12 13 13 12 12 11 8 4 2 4 8 14 22 27 26 25 24 22 21 20 18 17 16 16 15 13 13 15 16 16 15 14 15 15 14 13 14 15 15 16 16 15 14 14 14 15 17 18 19 20 21 21 20 18 18 17 17 15 15 15 14 14 13 13 13 13 13 12 10 11 12 14 14 14 14 13 13 13 14 13 13 13 13 12 12 13 14 15 16 16 14 14 13 13 13 13 13 14 13 12 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 10 6 5 6 8 9 10 11 12 12 12 10 8 7 7 8 9 8 8 8 8 9 10 10 11 11 11 11 12 13 14 13 13 12 12 13 11 10 9 9 10 10 11 11 10 9 9 10 10 11 12 13 14 14 14 14 13 13 13 13 13 13 14 16 17 17 18 17 14 9 7 8 12 15 15 13 12 10 10 12 13 14 15 16 15 15 15 15 16 19 22 23 21 18 15 15 15 16 16 17 19 21 22 22 19 16 14 13 13 14 12 12 13 12 12 12 11 10 11 12 11 9 9 8 9 10 10 9 8 10 13 14 14 13 11 11 11 11 11 12 13 13 14 15 15 15 17 22 19 12 9 9 10 10 11 12 12 12 11 12 13 14 14 15 15 14 14 15 15 16 16 16 16 15 14 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 11 12 11 10 10 9 8 7 6 6 8 11 15 17 17 15 12 10 11 12 13 12 12 12 11 10 11 12 12 12 12 13 13 13 15 17 19 19 17 13 11 8 5 3 3 7 13 20 21 18 14 13 12 12 12 10 10 9 10 10 11 11 9 8 8 9 9 9 11 11 11 12 13 15 15 15 14 14 14 13 13 13 12 12 12 12 12 13 13 14 15 15 14 12 11 11 13 14 14 12 11 11 10 11 13 14 13 13 14 15 15 11 9 10 13 15 15 13 12 11 12 13 14 15 17 17 18 18 18 18 16 15 15 15 14 13 13 12 11 12 12 11 11 11 11 11 11 12 12 12 13 12 12 12 12 13 13 11 8 3 -1 -1 4 22 34 30 27 25 24 23 21 19 19 17 17 16 15 15 16 17 17 16 15 16 16 17 16 16 17 18 18 17 16 16 15 16 18 19 19 20 20 19 18 17 15 15 15 15 14 14 14 14 14 14 14 13 14 15 15 14 12 11 10 11 12 13 13 13 13 14 14 15 15 14 15 14 15 15 16 17 16 15 14 14 14 15 16 16 15 14 13 13 12 12 12 11 11 11 10 10 10 10 10 11 11 11 12 12 14 14 15 13 10 9 8 8 8 9 10 10 11 12 12 12 12 11 10 10 9 9 9 8 8 7 8 9 10 11 11 11 10 10 11 12 13 13 13 14 14 12 10 10 9 8 9 10 10 10 9 9 9 11 12 12 13 14 14 14 14 14 14 13 14 13 13 13 16 19 19 16 14 14 12 10 10 12 15 15 14 11 10 10 12 13 14 15 15 15 15 15 15 16 17 20 23 24 21 17 15 15 16 15 17 19 21 24 23 21 17 14 13 13 13 13 13 13 13 13 13 12 11 10 9 10 10 10 11 10 11 11 11 9 9 11 13 14 13 11 10 11 12 12 12 12 12 13 13 15 16 16 18 19 19 16 13 10 9 10 12 14 12 10 10 10 12 14 14 15 15 15 13 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 6 9 14 17 15 13 11 11 12 13 13 13 12 11 11 11 11 10 11 12 12 13 12 12 15 18 20 19 16 13 9 6 2 1 3 10 17 23 21 17 15 13 12 12 11 10 9 8 10 12 12 11 10 9 8 7 7 11 14 15 15 15 16 17 16 15 15 15 14 12 11 11 12 12 11 11 11 12 14 14 14 15 15 13 11 12 14 16 15 13 10 9 10 14 16 15 13 13 15 15 13 10 9 11 13 13 13 12 12 13 13 13 14 16 17 18 19 19 19 17 16 15 14 14 14 14 14 12 11 12 12 12 11 11 12 12 11 12 12 12 12 13 13 12 13 13 13 12 10 7 1 -8 -9 12 35 38 35 30 26 24 23 23 22 20 18 17 17 17 18 18 18 18 17 17 18 20 21 22 22 22 20 19 17 17 18 19 20 21 21 20 18 16 14 13 13 13 14 14 13 14 13 13 13 12 12 12 11 11 11 10 10 10 8 8 9 11 13 14 15 15 16 16 17 17 18 17 17 17 16 16 15 14 15 15 15 15 16 16 15 14 14 13 12 12 11 11 11 11 11 12 13 14 15 15 15 16 17 18 18 16 14 11 8 8 9 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 11 10 9 8 9 10 10 11 11 11 11 10 10 11 12 13 14 14 13 12 11 10 9 8 8 9 9 8 8 10 11 12 12 12 12 13 14 15 15 14 15 14 14 13 13 14 16 18 16 12 9 10 11 11 11 12 14 14 12 10 11 12 13 14 14 14 15 15 15 15 16 16 17 22 25 25 22 18 16 16 16 16 18 20 22 23 21 17 15 13 13 14 14 13 12 12 13 13 13 12 11 11 11 10 9 9 10 10 10 11 11 11 11 12 13 12 11 10 11 11 12 12 12 13 13 14 13 13 13 14 15 17 19 17 14 11 10 10 12 13 13 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 5 5 5 4 5 5 5 6 6 7 8 9 9 8 7 8 8 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 10 8 7 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 9 9 8 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 0 0 0 3 3 10 13 15 18 20 21 24 22 19 13 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17 48 70 79 80 77 71 64 58 50 39 29 19 10 7 5 2 0 0 0 0 0 0 0 0 0 1 7 17 28 38 48 60 76 94 109 118 127 135 144 163 174 163 160 152 122 87 71 76 87 87 76 63 58 49 53 56 43 27 18 8 0 6 18 41 56 51 34 21 20 28 41 61 70 69 71 74 78 77 70 64 69 66 57 57 80 112 132 148 162 173 177 169 150 126 110 96 77 67 82 83 73 73 71 66 63 58 48 26 5 1 11 48 95 120 132 145 162 nan nan nan nan nan nan nan nan nan nan nan nan 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 5 5 5 5 5 5 6 6 6 6 7 8 8 8 8 8 8 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 8 6 6 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 3 4 8 11 13 17 21 22 20 18 14 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 36 46 53 53 44 40 32 14 7 10 7 2 1 1 0 0 0 0 0 0 0 0 0 0 0 2 10 24 35 46 60 78 98 116 128 138 144 150 165 169 155 152 139 106 71 58 63 77 83 72 31 20 5 18 36 21 14 8 5 1 2 6 10 15 12 5 2 5 19 28 45 62 64 69 78 84 84 82 81 80 76 79 93 107 115 126 142 161 177 186 183 171 158 147 133 122 127 135 128 118 103 90 85 78 69 53 28 8 2 7 40 85 110 115 121 135 nan nan nan nan nan nan nan nan nan nan nan 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 3 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 9 10 10 11 11 11 10 10 9 9 9 8 8 9 8 8 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 6 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 13 18 19 19 17 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 18 22 20 18 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 24 37 52 67 82 97 117 135 142 146 149 149 147 145 149 138 109 82 68 73 84 94 92 72 68 62 44 49 38 32 24 15 6 7 7 3 2 1 2 2 5 18 30 43 59 66 73 86 89 84 78 74 73 80 93 104 108 113 122 132 144 163 181 186 178 163 150 144 125 127 142 142 131 109 94 92 89 79 60 36 18 10 13 34 72 98 101 101 114 125 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 1 1 1 3 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 9 9 9 10 10 10 10 9 9 8 8 7 8 8 8 8 7 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 1 2 4 5 8 11 10 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 31 47 65 78 77 82 112 134 133 126 129 115 111 120 132 130 120 104 92 87 84 83 84 85 91 92 84 74 65 52 40 33 23 15 14 11 4 0 4 15 32 50 64 69 74 81 88 100 97 82 71 62 65 84 100 104 107 116 124 127 132 147 166 174 167 153 139 138 128 130 135 140 126 104 85 78 78 73 58 41 28 20 19 29 52 74 83 94 114 129 nan nan nan nan nan nan nan nan nan nan 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 2 1 1 2 4 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 9 10 9 9 8 8 7 6 7 7 8 7 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 3 4 4 3 3 3 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 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 2 28 46 64 81 78 54 51 90 112 102 99 95 85 82 89 100 104 104 102 99 100 90 78 71 67 69 77 78 75 71 67 55 44 44 30 31 44 43 14 6 28 68 91 94 89 90 95 108 119 112 92 79 67 67 88 98 101 108 118 120 122 125 134 151 162 158 146 134 132 136 146 154 149 135 112 88 74 68 61 51 43 34 28 27 32 40 47 59 94 131 146 nan nan nan nan nan nan nan nan nan nan 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 10 5 0 1 4 7 8 7 6 6 5 5 5 5 5 5 4 4 5 5 6 6 7 7 8 8 7 7 7 6 6 6 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 1 0 1 1 0 0 1 2 3 4 5 5 5 5 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 22 51 70 82 82 53 22 15 41 59 49 43 49 56 63 70 77 77 68 65 74 84 86 80 70 57 51 56 63 61 59 65 70 70 75 55 56 86 98 74 49 71 106 108 96 94 100 107 121 127 124 112 101 94 96 97 96 97 107 116 117 118 121 129 145 159 160 146 132 129 133 140 144 142 135 121 104 89 76 61 50 44 36 32 38 49 50 40 52 106 149 161 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 19 19 17 13 7 3 4 7 9 10 9 8 6 5 4 4 5 5 4 3 3 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 4 4 4 4 4 3 1 0 0 0 0 0 0 0 1 2 4 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 3 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 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 7 28 52 73 82 75 54 18 2 0 8 10 5 6 12 23 36 51 62 60 45 32 40 56 69 76 73 56 40 44 56 57 46 48 74 101 118 101 92 118 131 135 122 124 131 113 99 104 110 117 125 128 128 125 120 112 108 106 101 99 107 117 119 120 124 133 148 161 160 144 125 116 114 115 118 121 123 121 113 103 90 72 58 51 43 48 63 76 77 78 99 134 159 167 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 17 19 18 17 14 10 9 10 10 11 11 10 9 6 4 3 4 4 3 2 2 2 1 1 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 3 0 0 0 0 0 0 0 0 0 3 4 5 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 2 1 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 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 15 43 70 75 57 35 18 5 0 0 0 0 0 0 1 4 12 25 37 40 30 18 19 32 49 66 76 68 50 49 64 72 58 45 60 93 126 131 132 132 140 146 146 145 135 116 107 113 120 124 128 125 121 121 122 118 114 114 111 108 113 120 123 125 130 141 157 164 155 134 111 92 82 84 94 104 110 111 109 106 96 82 69 61 61 70 81 90 92 99 128 155 165 170 172 nan nan nan nan nan nan nan nan 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 18 18 17 18 18 16 14 12 11 10 11 10 9 5 3 2 3 2 1 0 0 0 0 0 0 0 1 1 2 1 1 1 2 2 2 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 1 0 0 0 0 0 0 0 1 3 4 4 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 5 5 5 4 4 2 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 12 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 18 51 74 57 17 0 0 0 0 0 0 0 0 0 0 0 2 7 13 19 19 18 18 23 35 52 75 84 75 66 70 80 79 67 63 79 107 120 121 118 126 138 145 148 144 129 117 118 124 128 126 118 107 104 104 106 109 116 120 120 120 124 124 126 131 144 160 163 150 124 94 68 55 58 71 90 100 97 94 95 95 87 74 63 65 78 87 88 86 91 117 145 154 168 173 nan nan nan nan nan nan nan nan 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 15 16 15 16 20 21 19 15 12 11 10 10 10 8 5 3 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 1 0 0 0 0 0 0 0 2 3 4 4 5 5 5 4 4 3 3 3 3 3 2 3 3 4 4 4 4 2 1 0 0 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 22 22 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 20 53 65 36 6 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 7 16 19 25 34 45 68 90 94 84 78 82 89 85 77 76 90 100 99 94 103 127 142 147 152 144 131 122 122 126 124 113 101 95 89 86 93 112 125 133 133 126 123 124 129 142 156 157 141 113 82 60 48 44 50 69 89 88 77 80 88 82 67 56 59 77 89 88 83 91 114 124 136 160 169 nan nan nan nan nan nan nan 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 2 7 12 15 16 18 20 21 19 16 13 12 11 11 10 8 4 2 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 2 0 0 0 0 0 0 1 2 3 4 4 4 5 4 4 3 3 3 3 3 2 2 2 2 3 3 2 1 0 0 1 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 26 28 26 20 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 21 46 42 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 18 30 45 58 72 88 100 99 90 89 93 92 86 85 87 86 80 75 84 110 132 144 157 159 149 134 124 122 122 117 110 102 95 86 86 104 125 143 150 143 132 128 131 139 147 147 135 112 89 72 61 50 41 53 80 90 80 74 75 69 54 44 51 72 88 91 92 104 127 124 125 145 152 nan nan nan nan nan nan nan 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 2 7 12 16 17 19 20 21 19 16 14 13 12 10 9 6 4 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 3 4 4 4 4 4 4 4 3 3 2 1 0 0 0 0 1 2 3 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 3 2 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 29 32 31 28 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 21 30 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 28 50 72 82 86 93 94 90 90 95 96 91 87 85 81 77 74 78 94 119 139 153 161 160 146 129 119 119 123 123 115 105 95 91 103 121 141 159 162 151 142 140 140 139 135 128 117 104 92 81 68 52 51 75 98 100 90 74 58 40 33 46 60 72 89 101 113 110 98 105 119 124 nan nan nan nan nan nan nan 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 2 7 13 17 19 20 20 19 17 16 16 14 12 10 8 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 3 4 4 4 4 3 3 3 2 1 0 0 0 0 1 2 3 4 4 4 4 4 4 3 3 3 3 3 3 2 3 4 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 28 30 27 22 16 6 1 0 0 0 0 0 0 0 0 0 0 4 8 6 3 0 1 1 3 6 10 19 17 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 18 40 68 82 81 76 73 70 74 86 97 97 94 88 81 79 80 80 82 104 130 141 153 157 147 133 121 118 125 128 121 107 94 93 102 113 129 149 163 165 160 156 150 140 127 119 114 108 101 94 83 67 62 80 106 118 110 90 62 38 32 43 54 65 86 107 109 86 65 69 82 88 84 nan nan nan nan nan nan 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 2 7 13 20 22 22 20 18 17 17 16 14 11 9 7 6 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 1 1 0 0 2 3 3 3 3 3 3 2 2 1 0 0 0 0 2 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 14 23 25 18 10 6 2 0 0 0 0 0 0 0 0 0 0 1 4 10 14 14 9 8 5 5 6 5 18 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 27 54 73 73 62 49 44 50 65 84 96 100 96 88 85 87 84 78 92 114 129 141 149 145 139 133 128 128 128 120 107 96 94 102 109 117 129 145 161 170 174 169 150 124 108 105 102 98 97 94 86 82 91 111 124 122 106 77 48 35 40 53 70 95 119 117 84 57 53 55 54 47 nan nan nan nan nan 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 2 4 9 16 21 24 21 20 20 19 17 15 13 10 9 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 1 2 3 3 3 3 2 2 2 1 0 0 0 0 1 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 11 15 22 23 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 14 18 16 10 4 2 3 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 18 40 64 71 58 42 34 36 48 67 87 101 103 96 93 93 86 76 81 101 114 126 142 146 147 151 148 140 130 121 112 105 104 107 110 109 110 116 134 160 180 184 166 131 106 98 97 97 99 101 100 98 102 115 129 130 116 89 60 42 41 55 79 110 137 140 114 86 72 58 42 24 nan nan nan nan nan 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 2 4 6 8 11 14 19 21 22 22 23 21 17 14 11 10 8 7 6 5 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 1 3 3 3 3 3 3 2 1 0 0 0 0 1 3 4 4 4 4 4 4 3 3 3 2 2 3 3 2 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 6 6 7 8 8 2 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 6 15 19 18 20 20 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 9 5 2 0 0 2 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 31 54 74 67 49 39 36 42 54 74 95 104 102 99 97 85 72 73 88 98 109 129 141 145 152 155 151 139 128 119 113 111 109 107 104 96 91 100 129 164 182 172 144 120 107 106 107 107 109 110 109 112 121 130 130 116 93 69 54 53 66 92 124 150 155 138 118 102 83 60 31 nan nan nan nan nan 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 3 6 8 9 9 10 13 16 18 21 24 24 20 15 13 12 9 7 7 6 5 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 1 2 2 3 3 3 3 2 2 1 0 0 0 2 3 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 2 3 6 8 9 10 12 13 14 16 17 12 5 3 2 2 0 0 0 0 0 0 0 0 0 0 0 3 10 14 10 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 23 42 63 69 60 47 39 40 50 67 86 96 97 97 97 88 74 74 86 94 100 115 128 134 140 148 154 148 138 127 115 106 99 99 98 89 81 82 105 143 172 174 159 145 135 130 127 125 124 124 124 126 129 132 129 117 98 78 69 73 89 106 129 148 148 135 124 117 106 87 58 nan nan nan nan nan 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 4 7 10 11 10 9 9 11 13 15 20 23 22 18 14 12 10 7 6 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 2 1 1 1 1 2 3 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 1 0 1 6 11 13 12 11 12 16 18 20 21 22 22 22 22 19 9 4 2 1 0 0 0 0 0 0 0 0 0 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 3 14 29 41 55 59 51 40 37 46 62 80 89 86 86 93 93 83 84 97 102 101 109 119 127 133 144 155 155 151 140 126 109 98 95 92 86 79 78 93 126 159 178 181 174 164 156 150 144 140 139 139 138 136 137 135 125 107 91 87 92 103 115 129 139 136 125 118 117 114 103 79 60 nan nan nan 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 1 5 9 12 13 12 11 10 10 10 10 12 17 20 20 18 15 11 7 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 2 1 0 0 0 1 8 14 17 18 16 15 21 25 24 21 18 20 21 20 16 8 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 7 14 24 35 44 46 40 37 41 53 72 82 77 74 85 93 92 98 113 116 109 110 117 126 137 150 157 160 159 154 148 137 122 108 96 87 83 80 87 110 143 172 191 195 187 179 170 161 153 149 146 142 139 138 136 128 115 105 103 104 106 112 119 124 119 110 103 104 106 99 79 55 nan nan nan 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 1 5 10 12 13 14 14 13 11 10 8 8 11 15 18 20 19 14 8 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 0 0 0 0 0 4 8 9 10 11 11 12 14 14 10 7 8 12 14 12 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 3 5 12 26 36 40 39 37 40 54 68 70 69 77 88 94 104 116 120 118 117 120 126 135 148 161 167 165 167 170 166 155 137 115 100 95 89 86 97 124 155 182 197 198 194 186 178 170 161 150 142 137 133 128 121 114 109 108 107 106 106 107 105 97 91 86 86 89 84 64 34 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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