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 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 3 4 3 3 2 2 2 3 3 3 3 4 3 4 4 4 4 4 4 3 3 3 3 2 3 3 3 4 4 4 4 3 2 2 2 3 3 3 4 5 5 5 5 5 4 4 5 5 5 4 3 3 3 3 2 2 1 2 2 1 1 0 0 1 1 2 2 3 3 3 3 3 3 2 2 2 2 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 4 4 5 5 6 6 5 5 4 5 5 6 6 6 6 6 6 5 5 5 7 8 7 6 5 5 6 7 7 6 4 3 3 3 2 3 5 6 8 8 7 7 7 6 5 4 4 4 4 3 1 1 4 5 9 9 11 -1 1 6 4 4 5 6 11 10 7 7 11 12 14 16 17 14 12 12 11 4 5 12 17 14 4 4 12 15 17 15 5 4 9 12 12 9 4 2 5 10 12 9 4 3 8 12 10 6 4 4 4 4 5 5 4 2 1 2 7 12 13 12 12 9 6 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 4 5 6 10 21 23 10 5 6 5 4 4 7 9 7 4 4 4 3 3 4 5 5 4 4 4 4 3 -2 -5 3 5 5 4 5 5 4 4 5 5 5 4 3 4 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 4 4 4 5 5 5 5 5 6 7 7 8 9 10 11 13 15 15 14 12 8 8 9 10 10 10 11 12 13 17 20 15 6 4 5 5 3 3 -4 -6 -8 -3 1 0 4 5 0 -5 -5 -4 -4 -11 -15 -12 -10 -9 -5 2 7 10 10 11 13 15 16 18 18 18 16 13 11 11 11 9 7 8 11 17 19 16 17 20 22 19 16 13 10 9 11 11 10 8 7 6 5 3 3 5 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 4 4 4 4 4 3 3 4 3 4 3 2 2 2 2 3 3 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 3 3 2 3 2 2 3 4 4 4 4 4 3 2 2 2 2 3 4 4 5 5 5 4 4 4 4 5 5 5 4 4 3 3 3 2 3 3 3 3 2 1 0 0 1 1 2 2 2 2 2 3 3 2 2 2 1 2 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 5 6 5 5 5 4 5 5 5 6 6 6 6 6 6 5 4 5 6 7 7 6 5 4 6 7 7 6 5 4 3 3 2 3 4 6 8 8 8 8 7 7 5 4 4 5 4 0 0 6 6 7 11 14 9 -5 4 6 5 2 1 4 7 7 9 17 23 23 20 23 18 12 12 11 8 2 5 12 14 11 3 3 9 10 9 6 2 8 12 11 10 11 5 -0 3 9 12 9 5 8 10 7 4 3 3 4 5 4 3 3 4 5 3 3 7 11 12 12 10 7 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 5 7 15 21 11 5 5 5 3 2 4 5 5 3 3 4 4 4 5 5 5 5 4 4 4 1 -7 -7 2 4 3 2 3 4 3 4 4 4 4 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 10 14 17 18 17 14 10 8 9 10 10 10 10 11 13 14 15 18 20 18 14 12 10 10 10 10 5 2 1 3 3 6 7 4 1 2 3 4 1 -2 -5 -5 -6 -3 2 6 9 9 9 10 11 12 13 13 13 12 8 8 9 9 8 5 4 7 9 8 8 12 15 15 12 11 10 8 7 7 8 7 6 5 4 4 3 4 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 3 3 3 3 4 3 3 3 4 4 4 4 3 3 2 2 2 3 3 4 4 3 3 3 3 3 4 4 4 3 3 2 2 3 4 3 4 3 3 3 3 2 2 3 3 3 4 4 5 5 4 3 2 2 2 3 4 4 4 4 4 4 3 4 5 5 5 5 5 4 4 3 3 4 4 4 4 3 2 2 1 1 2 2 2 2 2 2 3 3 2 2 2 1 2 2 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 5 5 5 5 5 4 5 5 5 5 5 5 6 6 5 4 4 4 5 6 7 7 6 5 6 7 7 6 5 4 3 3 2 2 4 6 7 8 8 8 7 7 6 5 4 3 1 -3 2 10 5 4 9 13 4 -3 2 3 4 5 4 1 1 4 7 9 8 3 -1 1 5 8 10 10 5 -2 4 7 8 8 8 9 11 10 10 9 10 15 13 6 3 6 4 1 3 6 7 7 8 11 11 7 2 -1 2 5 6 4 1 0 2 5 5 6 9 14 14 11 7 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 3 2 3 5 6 11 14 10 4 5 6 5 4 3 2 3 3 3 4 4 5 5 6 5 5 5 5 5 4 -6 -10 -3 3 1 -2 1 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 7 8 8 11 15 19 20 17 13 8 8 10 10 9 9 10 11 12 13 13 14 17 19 19 15 10 9 10 11 9 7 5 5 5 6 5 5 4 5 7 7 7 5 5 6 5 8 9 9 9 9 8 8 7 6 7 7 8 8 7 7 8 8 8 5 3 3 4 5 6 9 12 12 11 10 8 7 6 5 5 5 5 4 4 4 4 5 5 5 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 5 4 4 4 3 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 5 6 5 4 4 3 3 4 4 4 4 4 4 3 4 4 4 5 5 5 5 4 4 4 4 4 4 5 4 4 4 3 3 2 2 3 2 2 2 2 2 2 2 2 2 1 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 3 3 3 4 5 5 5 4 5 5 5 5 4 5 5 6 5 4 4 4 4 5 6 7 7 6 5 6 7 7 6 5 4 4 3 3 3 4 6 7 8 8 8 7 7 7 5 4 3 -2 -6 0 3 0 1 5 5 1 5 3 6 3 5 8 3 -1 2 4 -6 -14 -14 -15 -14 -2 2 5 9 6 1 2 3 4 5 8 14 15 13 11 13 22 18 9 3 2 3 2 5 7 4 2 5 9 7 5 7 5 3 5 6 5 4 3 0 1 4 6 11 15 16 13 9 6 5 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 2 3 3 6 14 16 8 4 4 5 6 6 4 2 3 4 4 4 5 6 6 6 6 6 5 5 5 6 1 -8 -8 1 4 -1 -1 2 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 3 3 3 3 3 3 3 3 4 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 8 8 7 7 7 8 11 15 18 19 16 11 8 8 9 8 8 8 8 9 9 10 10 9 9 12 14 14 9 7 8 8 6 5 5 5 5 6 4 4 6 7 6 5 5 4 10 15 16 13 10 10 11 11 9 8 6 4 4 5 6 7 6 6 6 7 7 6 3 2 4 5 6 7 8 8 8 8 7 6 5 4 5 5 5 5 4 5 5 6 6 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 6 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 3 3 3 3 4 4 4 3 3 4 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 4 4 5 5 5 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 3 3 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 5 5 7 8 7 6 5 6 7 7 6 5 4 4 4 3 3 4 5 7 8 8 8 8 7 6 6 5 3 -1 -5 -2 -0 1 3 3 0 -3 9 9 7 3 4 9 8 1 1 2 -5 -9 -2 -1 -1 -1 -1 3 8 9 9 3 -1 -2 5 6 11 13 11 8 10 18 14 7 3 2 1 4 9 8 -1 -3 3 6 4 7 9 8 9 10 8 6 6 5 3 3 4 9 15 18 15 10 7 5 5 4 3 3 3 2 2 2 2 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 5 16 23 12 5 5 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 6 6 6 6 5 -1 -7 -4 5 5 1 3 4 3 3 4 4 4 4 4 4 3 3 3 3 2 2 3 4 4 3 3 2 2 1 0 2 3 4 6 6 7 7 6 6 6 6 6 5 6 5 5 5 5 5 5 7 8 8 8 7 7 7 8 11 15 17 16 13 10 8 7 7 7 7 6 5 4 4 3 2 1 0 1 3 7 7 6 6 5 5 5 4 5 5 4 2 7 9 9 8 7 11 13 16 17 13 7 7 9 11 12 11 8 6 4 4 4 5 6 6 5 5 6 6 5 4 4 5 5 6 6 6 6 6 7 6 5 5 5 5 4 4 4 4 5 6 7 7 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 nan nan 6 6 6 6 5 5 5 4 3 3 3 2 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 3 2 2 2 2 3 4 5 5 5 5 5 5 5 4 4 3 3 3 2 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 4 4 5 6 5 5 5 4 4 5 5 5 5 7 8 7 6 6 7 8 7 6 5 4 4 4 4 3 4 5 7 8 8 8 8 7 6 6 5 3 1 -1 1 5 7 4 2 2 0 11 15 7 4 3 8 10 5 2 2 3 7 8 3 2 0 -1 5 9 5 5 0 2 2 4 3 4 4 1 4 6 8 4 3 2 2 1 1 4 3 -0 2 3 -1 3 11 11 10 12 10 8 7 7 6 6 4 6 11 16 15 10 7 6 5 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 4 4 4 5 5 5 5 4 3 4 12 23 16 7 6 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 4 -2 -7 -2 5 5 3 3 3 4 4 5 5 5 4 4 4 3 3 3 2 1 2 4 4 3 3 2 1 1 -0 0 2 3 5 6 7 7 7 7 7 7 8 7 7 6 5 5 5 5 6 7 8 8 7 7 7 7 9 10 13 14 13 11 9 8 7 6 6 5 4 1 -1 -3 -4 -6 -7 -8 -6 -3 0 4 5 4 4 5 5 5 5 4 3 5 8 11 15 15 17 18 16 12 9 6 4 5 7 10 11 11 9 7 5 5 4 4 5 5 5 5 6 6 6 6 5 5 6 6 6 5 5 6 5 5 5 4 3 4 4 3 3 4 4 5 6 7 6 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 nan
nan nan nan nan nan nan nan 6 6 6 6 5 5 5 5 5 4 4 4 3 2 2 3 3 4 4 4 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 3 3 3 3 3 3 3 2 2 3 4 5 5 4 4 4 4 5 5 5 4 4 4 5 4 4 4 3 3 2 2 1 2 2 2 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 2 2 2 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 4 5 6 6 5 5 4 5 5 6 6 5 6 7 6 7 6 8 9 8 6 5 4 3 3 3 4 4 6 7 8 8 8 7 6 6 6 5 3 3 1 3 7 8 4 1 -0 2 10 13 7 5 5 7 8 6 2 3 8 12 8 6 5 1 1 8 7 -0 0 -2 4 9 3 0 -1 -7 -8 1 3 4 -2 -2 -1 0 2 -6 -4 3 7 10 -1 -3 7 11 9 9 10 8 5 4 5 6 6 5 7 12 13 9 7 6 6 5 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 5 5 4 4 5 6 5 5 5 4 4 5 5 5 5 5 5 4 3 8 21 18 8 6 5 5 5 6 5 4 4 4 5 5 5 5 4 4 5 6 6 6 5 4 4 2 -3 -6 -3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 3 2 1 2 3 4 4 3 2 2 2 2 2 3 4 5 6 7 7 7 7 9 10 10 10 9 8 6 6 5 4 6 8 7 7 7 7 8 8 8 10 11 12 12 10 9 8 6 5 4 3 2 -0 -2 -3 -4 -5 -5 -6 -5 -1 2 3 4 4 3 3 6 6 5 5 4 7 11 17 20 20 18 12 7 5 6 6 5 5 6 9 10 10 9 7 7 6 4 4 4 6 6 6 6 6 6 5 4 4 6 7 7 6 6 6 5 5 4 3 3 3 3 3 3 3 3 4 5 6 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 6 6 5 5 5 5 5 5 5 5 5 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 4 5 5 4 4 4 4 5 5 4 5 4 5 5 5 4 4 3 3 2 1 1 1 1 2 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 3 2 2 1 1 2 2 2 2 2 2 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 4 5 5 5 6 5 5 5 6 7 7 8 9 10 8 6 5 4 4 4 4 4 5 6 7 8 9 8 7 7 7 6 5 4 3 2 2 2 4 4 0 -2 1 9 10 4 3 4 4 6 7 5 7 8 6 2 4 9 4 3 7 3 -0 4 3 4 6 2 -0 -4 -13 -6 5 7 6 1 -2 -3 2 4 3 4 2 5 7 -1 1 5 4 5 7 9 7 3 2 3 5 6 7 11 14 11 7 6 6 5 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 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 5 5 5 6 19 22 11 6 6 5 5 6 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 3 3 4 3 -3 -6 -0 4 4 4 4 5 5 4 3 3 4 5 5 5 5 4 3 2 2 3 4 3 2 3 3 4 6 7 7 7 7 6 6 7 8 9 11 12 13 12 10 8 6 5 5 7 8 7 6 6 7 8 8 8 9 10 10 10 9 8 7 5 4 1 -1 -0 2 3 3 2 2 3 3 2 5 5 4 4 4 4 4 6 6 6 8 6 9 14 18 17 14 9 6 5 5 4 4 5 4 5 8 10 8 5 3 6 6 5 3 4 6 7 6 6 6 6 5 4 4 6 7 7 7 6 5 6 5 4 3 4 3 4 3 3 3 3 3 4 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 4 3 3 3 3 2 2 2 3 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 4 4 3 2 1 1 1 1 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 5 4 3 3 2 2 2 2 2 2 2 2 2 3 2 3 3 4 3 3 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 6 5 5 5 6 7 8 9 10 11 9 7 5 3 4 4 4 4 5 6 7 8 8 8 7 7 7 6 5 5 3 2 1 -0 2 3 3 2 2 6 10 9 8 6 5 4 6 8 10 6 0 -1 4 12 5 2 4 2 1 4 5 4 2 6 8 -3 -11 -2 8 9 7 9 3 1 4 2 1 6 6 7 5 4 4 3 2 7 8 5 5 5 4 3 4 6 11 15 15 9 6 6 6 5 4 4 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 14 24 21 14 10 8 7 7 6 6 6 5 6 6 5 5 4 4 4 4 4 4 4 5 4 4 4 0 -5 -1 4 4 4 4 5 4 4 4 4 5 6 7 8 8 6 4 3 2 3 3 3 3 3 4 6 8 9 9 9 7 6 6 6 7 9 11 13 14 15 13 10 7 6 7 8 7 6 5 6 7 7 8 8 8 8 9 9 8 7 5 4 2 2 -0 -3 3 6 7 6 5 5 6 5 6 5 5 5 5 5 6 7 7 10 13 13 13 13 12 10 8 5 4 5 5 4 4 3 3 5 8 9 7 4 3 4 7 6 5 4 5 7 6 6 5 5 5 5 4 5 6 7 7 7 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 6 6 6 6 5 4 4 4 5 5 5 5 5 5 5 4 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 3 3 2 2 2 3 3 4 3 4 4 5 5 4 4 4 5 5 5 5 5 5 4 4 3 2 2 2 1 1 2 1 2 2 2 2 3 3 3 3 3 3 3 4 5 5 4 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 5 6 7 9 10 12 12 9 7 5 3 3 4 4 4 5 6 8 9 9 8 8 7 7 6 6 5 3 2 1 0 3 6 8 6 3 3 3 6 8 7 5 4 5 7 8 5 -0 -2 4 9 5 0 1 2 2 2 4 1 2 13 14 -2 -6 1 7 8 8 13 3 5 5 1 -0 4 9 10 5 5 -0 3 8 13 12 6 5 6 5 3 5 7 12 17 13 7 6 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 9 17 23 22 20 16 13 11 10 9 8 8 7 7 5 5 4 4 5 4 4 4 5 6 6 5 5 2 -1 1 3 4 4 4 5 4 3 4 5 7 8 10 11 12 10 6 3 2 2 3 3 4 4 4 6 8 9 9 8 7 6 5 6 7 9 11 13 16 17 15 12 9 8 9 10 8 5 4 5 5 6 7 7 7 7 7 7 6 5 4 3 2 4 5 3 3 6 6 6 5 5 4 4 4 4 5 7 8 10 12 11 12 14 17 19 18 12 8 8 6 5 5 5 5 5 4 3 3 4 6 8 8 8 10 13 13 10 7 5 6 7 7 6 5 5 5 4 4 4 5 7 7 7 6 5 5 4 4 4 4 4 4 4 4 4 3 3 5 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 7 6 6 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 4 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 2 2 2 2 3 3 4 4 5 4 5 5 4 4 4 5 5 5 5 5 5 4 4 3 3 2 2 2 2 2 1 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 3 3 3 3 3 2 3 2 2 2 3 3 3 3 2 3 3 3 4 4 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 5 6 7 8 11 12 13 12 10 6 5 4 3 4 4 4 6 7 8 9 10 9 9 8 7 7 7 6 4 2 2 1 3 10 12 9 4 2 0 2 5 2 -3 3 10 8 5 3 -1 0 4 3 2 1 2 3 3 4 4 4 8 8 7 -3 -3 3 7 10 13 12 2 4 2 4 12 10 7 4 2 2 1 5 8 13 13 8 6 5 5 5 5 6 13 16 10 6 5 5 4 4 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 5 5 5 5 5 4 4 5 5 5 5 4 5 5 5 5 5 5 5 7 13 18 20 21 20 18 16 15 14 13 13 11 8 6 6 6 6 6 6 6 7 8 8 7 6 6 5 4 4 5 4 4 4 4 4 4 6 8 10 13 15 16 13 7 3 1 2 2 4 4 3 5 7 8 8 8 7 4 3 4 6 7 9 11 15 17 18 16 12 10 10 12 11 7 4 3 4 5 5 5 5 5 5 5 4 4 3 2 1 -0 2 9 10 6 6 6 6 5 4 4 5 6 6 8 11 14 16 17 16 15 14 13 14 12 9 7 7 6 5 4 4 5 5 4 3 3 4 5 6 9 13 16 17 14 10 7 6 7 7 7 6 5 4 4 4 4 4 5 6 8 8 6 5 4 4 3 3 4 5 5 5 4 4 4 3 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 4 5 5 6 6 7 6 6 4 4 4 4 5 5 5 6 6 6 5 4 4 3 4 4 3 3 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 2 2 2 2 3 3 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 4 5 4 3 3 3 2 2 2 2 2 2 2 1 1 2 2 2 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 7 9 12 14 13 13 12 9 6 5 4 3 4 4 4 5 6 8 9 10 10 10 9 8 8 8 7 5 3 2 2 5 9 11 9 3 3 4 6 8 10 2 7 11 4 0 1 1 4 7 -1 -3 1 6 7 6 7 12 16 7 -4 -3 -3 1 5 10 14 15 8 5 5 5 11 17 9 4 7 8 6 7 8 8 9 8 7 6 5 6 9 8 10 15 14 8 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 4 4 4 4 5 5 5 4 4 5 4 5 5 5 5 5 4 5 7 10 13 15 16 17 16 15 15 16 16 16 13 10 9 9 9 9 9 9 10 11 9 9 10 8 4 5 5 5 5 5 4 4 4 5 8 12 15 18 19 15 8 4 2 2 2 3 3 3 5 7 8 7 7 5 1 -3 0 5 7 9 12 15 18 18 16 12 10 12 13 11 6 2 2 3 4 4 3 3 3 3 2 -0 -2 -1 -1 -2 -2 -0 6 8 6 5 6 5 5 5 6 7 9 10 13 16 15 14 13 13 10 8 7 7 6 6 7 7 6 5 5 5 5 4 4 3 4 3 3 5 8 11 11 9 9 7 6 6 7 7 6 5 5 5 5 5 5 5 5 5 7 7 7 5 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 3 3 4 5 6 7 7 6 5 4 3 4 4 4 5 5 6 6 5 4 4 3 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 2 3 4 4 3 3 3 4 4 4 3 3 3 3 3 4 5 5 5 5 4 5 5 6 9 14 17 17 14 12 11 8 6 4 4 4 3 3 4 4 6 8 9 10 11 12 11 10 8 8 7 6 4 3 5 8 7 6 6 1 2 3 7 6 9 8 9 9 -1 -5 1 3 8 9 -1 -5 1 7 11 11 9 16 20 4 -5 -2 3 6 6 10 15 13 4 6 6 11 15 12 7 5 11 16 14 11 5 6 8 6 7 6 4 5 8 12 17 18 11 6 5 5 4 3 3 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 4 5 5 5 5 5 4 3 3 4 5 6 8 9 10 9 9 10 13 16 18 16 13 11 11 11 11 10 11 12 11 12 11 7 4 7 8 7 6 6 5 4 4 5 8 11 14 17 19 15 9 4 2 2 2 2 2 3 5 6 6 6 8 9 3 -7 -8 1 7 10 11 14 16 16 13 10 10 12 14 11 5 0 -2 -1 0 3 3 0 -1 -1 -3 -4 -7 -7 -7 -6 -4 -0 4 6 3 3 4 4 6 7 8 8 10 11 12 12 9 6 6 7 5 4 5 5 6 6 7 7 6 6 5 5 4 4 4 4 4 4 3 5 6 7 7 6 7 6 6 6 6 6 5 6 5 6 6 7 6 5 4 5 6 7 6 5 4 3 3 3 3 3 4 3 4 4 4 4 5 5 5 4 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 5 3 3 2 3 4 5 7 8 7 5 4 3 3 3 3 4 5 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 4 5 5 5 5 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 4 4 3 3 3 4 4 4 3 3 4 4 4 5 6 6 6 5 5 6 7 9 14 21 23 19 13 10 9 7 5 4 4 3 3 3 4 5 6 8 9 9 10 12 13 10 8 7 6 5 3 3 6 8 4 3 6 1 2 -2 4 3 3 6 6 11 1 -5 -1 3 7 9 2 -2 2 7 12 14 12 13 10 2 0 3 9 9 6 6 8 4 1 2 6 12 10 6 4 4 10 18 18 11 2 3 5 6 6 5 4 5 6 13 20 16 8 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 3 3 4 6 8 12 13 12 10 8 9 9 9 10 11 12 12 9 4 5 8 9 9 7 6 5 4 4 5 8 10 12 14 13 10 7 4 1 1 2 2 3 3 4 5 5 6 9 13 10 -0 -7 -3 5 9 10 11 13 13 11 8 8 10 13 12 8 2 -4 -7 -7 -3 0 -1 -5 -6 -5 -5 -5 -6 -6 -5 -2 1 3 4 3 3 4 6 7 11 12 11 10 11 8 5 5 5 5 4 4 4 4 5 6 6 6 6 7 6 6 5 5 5 4 4 4 4 4 4 5 5 6 7 8 9 8 6 5 5 5 5 4 4 4 4 4 4 3 4 5 6 6 5 4 4 4 3 3 3 3 3 3 3 4 5 5 5 6 5 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 5 6 6 5 4 2 1 1 2 5 8 8 8 5 4 3 3 3 4 4 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 3 4 4 5 5 5 4 4 4 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 3 3 4 4 4 5 4 3 3 4 4 4 4 3 3 4 5 5 5 6 6 5 5 6 8 9 11 19 27 25 17 11 8 7 6 4 4 3 3 2 3 4 5 6 8 9 9 8 9 11 10 7 6 5 4 2 1 3 4 3 7 8 7 4 -1 2 7 5 9 9 19 8 -2 -2 1 -0 3 4 3 2 3 9 13 16 14 4 -2 1 3 6 7 5 1 0 1 1 1 6 8 -1 -0 2 1 5 13 13 8 4 4 3 4 4 3 4 5 6 14 18 11 5 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 3 4 4 3 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 4 4 3 3 4 4 4 3 3 2 3 3 3 3 4 4 5 6 6 5 6 7 9 10 11 12 10 6 3 4 7 9 9 7 6 5 4 4 5 7 9 11 12 9 5 4 4 -1 -4 -2 2 3 4 4 5 5 5 10 16 14 6 1 0 4 7 8 9 10 10 9 7 6 7 9 11 11 8 2 -6 -12 -12 -7 -6 -6 -5 -3 -1 -0 1 2 1 2 3 4 3 4 4 6 9 10 12 13 13 12 9 5 3 4 4 5 5 4 4 4 5 5 6 7 6 6 6 6 6 5 5 4 5 4 4 4 5 5 5 5 6 8 10 8 5 4 4 4 4 4 3 2 1 2 4 3 3 4 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 6 6 5 4 2 1 1 2 5 7 8 6 4 3 3 4 4 4 4 5 5 4 4 4 5 4 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 3 4 4 5 5 4 4 4 3 4 4 3 3 3 3 3 2 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 5 5 6 5 5 5 6 7 8 9 13 22 29 26 16 9 7 7 6 4 3 3 3 2 3 4 6 7 9 10 10 8 7 8 8 7 5 4 3 1 1 3 3 4 9 9 12 2 5 3 5 5 11 9 16 11 5 3 3 -3 -4 1 6 3 -1 4 10 17 14 4 2 4 3 3 5 4 0 -1 5 4 4 5 1 -5 -2 1 3 2 5 7 4 3 5 4 3 3 4 5 6 11 18 16 8 4 5 5 4 3 3 3 2 2 3 3 3 3 3 3 3 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 5 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 3 3 3 4 4 4 3 2 2 2 3 2 3 3 3 3 4 4 5 5 7 9 10 11 12 9 5 3 3 4 6 6 6 5 5 4 5 5 6 8 9 11 11 6 4 6 3 -5 -8 -3 2 4 4 3 4 4 7 14 16 6 2 4 4 6 6 7 7 7 6 5 4 4 4 4 7 9 9 3 -6 -11 -8 -5 -1 1 1 2 3 4 4 4 3 3 4 5 6 8 10 10 8 6 7 9 8 5 4 3 3 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 5 5 4 5 5 5 5 5 5 7 6 5 4 4 4 4 4 3 4 7 7 5 4 3 3 4 5 5 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 5 5 6 6 6 5 3 2 2 2 4 5 6 5 4 4 4 4 4 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 4 4 3 4 4 4 4 5 4 4 4 4 3 3 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 2 2 2 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 6 5 5 4 5 6 7 8 10 14 22 29 26 14 9 9 8 6 4 3 3 3 3 3 4 6 8 9 10 11 10 9 8 7 7 5 4 2 -1 1 4 4 4 7 11 13 -0 6 9 5 7 7 9 10 7 13 14 9 4 -0 8 9 1 -2 1 6 12 11 6 5 5 6 8 9 7 3 1 5 7 9 6 -2 -2 1 1 4 0 2 5 4 1 1 5 5 3 4 6 7 14 19 13 6 5 5 5 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 3 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 4 4 3 3 2 2 2 2 3 2 3 3 3 4 4 5 5 7 9 11 13 14 11 5 3 3 2 3 3 4 4 4 4 4 5 6 6 7 9 12 10 8 10 10 4 -5 -8 -4 -0 0 0 1 3 5 7 10 7 3 5 5 5 5 5 5 4 2 -1 -4 -2 -2 -5 -5 1 7 9 5 1 3 5 3 2 3 4 4 4 3 2 3 5 6 7 9 11 11 10 7 4 3 3 2 3 3 3 3 3 5 5 6 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 5 4 4 4 4 4 4 7 10 8 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 4 3 4 6 7 6 5 3 2 3 3 4 4 4 4 4 3 4 5 5 5 6 5 4 3 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 5 4 4 4 4 5 4 4 4 5 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 4 4 4 3 3 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 6 7 8 11 15 22 28 24 15 11 10 7 6 5 3 2 3 4 5 6 8 9 10 10 11 11 10 10 9 8 6 4 1 -2 0 5 5 4 6 12 11 2 5 8 6 9 8 6 6 5 15 16 12 8 4 13 4 -6 -3 1 6 9 7 4 2 4 10 14 10 7 7 6 5 8 10 7 -1 -0 4 5 5 2 2 5 5 0 -3 4 5 3 5 6 9 16 19 11 6 5 5 4 4 3 3 4 3 3 2 3 2 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 2 2 2 3 3 3 4 4 4 4 4 5 6 8 10 13 16 14 7 3 3 3 2 2 3 3 3 4 4 5 6 6 6 6 8 8 8 11 13 10 4 -5 -9 -5 -5 -4 -4 -3 2 5 6 6 5 5 5 4 4 2 1 -1 -3 -5 -8 -10 -8 -6 -7 -5 2 8 9 7 7 8 4 2 4 6 6 7 6 4 5 8 10 10 11 11 9 7 8 7 4 3 3 3 3 3 3 3 4 5 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 4 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 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 5 4 4 3 3 3 4 6 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 5 6 6 5 4 4 4 4 5 5 4 3 3 4 4 4 5 5 5 5 4 3 3 3 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 4 4 5 5 5 4 4 5 6 7 8 9 12 16 24 29 24 16 11 8 6 6 5 2 2 3 6 7 9 10 11 11 11 11 11 11 11 11 9 7 4 0 -3 -1 4 6 4 6 9 3 5 5 9 8 10 9 1 -1 4 9 7 5 8 5 3 -1 -6 -0 2 6 9 5 2 2 3 10 12 5 5 12 11 6 6 7 3 -2 0 7 14 11 6 3 4 3 -1 -3 1 2 2 4 5 10 19 19 9 5 5 4 4 3 3 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 5 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 2 2 1 2 2 3 4 4 4 4 4 4 4 4 6 9 11 14 13 8 4 4 3 2 2 2 3 3 3 3 4 5 5 5 4 4 4 5 9 13 11 7 3 -3 -4 -4 -4 -7 -9 -5 0 4 6 6 6 6 5 4 2 1 -1 -3 -2 -1 -5 -4 0 0 -0 2 7 8 7 6 6 6 6 8 10 9 10 11 10 9 11 11 11 10 8 6 6 5 5 6 5 4 4 3 3 2 3 3 4 5 6 6 6 6 5 6 6 6 6 5 5 5 5 5 5 5 5 4 3 4 4 5 4 3 3 4 4 4 4 4 4 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 6 5 4 4 3 3 3 4 5 6 6 6 5 4 3 3 2 2 3 2 2 3 4 4 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 5 6 6 8 10 13 20 29 32 25 16 11 7 5 5 4 2 1 4 7 8 10 10 10 10 12 12 12 13 13 11 10 8 4 -1 -2 1 4 6 5 6 4 -1 4 8 12 10 13 9 2 -2 6 1 -0 -4 5 10 9 7 3 2 2 6 7 5 10 9 4 5 5 3 8 16 13 4 3 3 -2 -3 2 9 17 12 7 5 3 2 1 2 2 1 2 4 4 10 20 16 7 4 4 4 3 3 3 4 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 4 3 2 1 2 3 3 4 3 4 4 4 4 4 4 5 7 9 11 11 8 5 5 4 3 3 2 2 2 2 2 3 4 4 4 4 4 4 4 7 13 14 9 6 4 3 3 2 -2 -8 -8 -7 -2 3 5 4 5 7 6 4 6 7 4 3 4 5 5 5 5 5 5 6 6 6 5 5 5 6 10 15 13 11 12 12 11 10 9 8 7 6 5 5 4 5 5 6 6 5 4 4 3 3 3 3 4 5 6 6 7 6 6 6 6 6 6 5 5 4 5 5 5 5 4 4 4 4 4 4 3 4 5 5 4 3 4 4 3 3 4 4 4 5 5 5 5 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 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 6 5 5 5 4 3 3 3 4 5 6 6 6 6 5 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 6 6 7 10 14 19 27 35 32 22 15 10 6 4 4 3 1 1 5 7 8 9 9 7 9 12 14 13 13 13 11 9 7 0 -3 0 3 3 5 7 8 4 -1 3 10 7 6 15 11 7 4 6 -0 -3 -5 2 13 17 15 9 2 3 6 6 10 15 11 5 3 2 4 15 21 11 2 2 0 -3 0 5 10 14 11 7 5 1 2 4 4 4 3 3 4 5 12 20 15 7 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 3 3 4 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 5 5 5 5 5 5 5 5 4 3 2 2 3 3 3 4 4 4 4 4 4 4 5 6 8 10 11 9 6 5 4 3 3 2 2 2 2 2 2 3 3 3 4 4 4 4 5 10 15 15 10 5 6 7 7 4 1 -3 -7 -8 -3 1 0 0 3 6 5 7 11 9 6 5 6 6 6 6 5 5 5 5 5 6 7 7 5 9 13 12 9 9 8 8 8 6 6 6 6 6 6 5 5 5 6 6 6 5 4 3 3 3 3 3 4 5 6 7 6 6 6 7 7 7 6 5 4 5 5 5 5 4 4 4 4 4 4 6 8 6 5 5 4 4 4 4 4 4 4 4 5 5 6 5 4 3 3 3 4 3 4 4 5 5 5 5 5 4 3 4 3 3 3 3 3 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 6 6 5 5 5 5 4 4 3 3 4 4 6 7 7 6 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 12 19 23 29 36 38 28 18 13 9 5 3 3 2 1 3 7 9 9 9 7 5 6 11 15 14 12 11 10 8 3 -3 -3 2 2 2 6 9 10 4 1 6 9 5 6 15 12 8 2 2 6 4 -1 -1 12 16 13 7 4 7 7 9 16 17 9 5 7 5 6 16 19 6 -3 -1 1 1 4 9 14 15 10 7 3 1 4 7 4 2 2 4 5 7 14 19 13 6 4 4 3 3 3 3 3 2 3 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 4 3 3 3 4 4 4 3 4 4 4 4 4 5 5 7 10 13 12 8 5 4 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 4 6 10 15 15 8 8 10 9 7 6 5 1 -5 -6 -4 -4 -3 -1 -0 -1 1 6 8 6 5 4 4 5 6 5 5 5 6 6 7 9 10 8 8 8 7 6 6 6 5 5 6 5 5 5 5 6 6 6 6 6 7 8 7 5 4 3 2 3 3 4 4 5 6 6 6 6 6 7 7 6 5 5 5 5 4 3 3 4 4 4 5 5 7 7 6 4 4 5 4 4 3 4 4 4 4 4 5 5 5 4 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 3 3 3 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 5 5 5 5 5 5 4 3 3 3 4 7 9 7 5 5 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 3 4 6 6 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 5 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 5 5 5 5 5 6 6 9 17 30 38 37 38 39 32 20 15 11 8 5 2 1 1 2 5 8 9 9 8 7 5 6 11 15 14 12 10 9 5 -2 -5 -1 2 3 3 6 6 5 3 5 9 9 7 8 14 11 3 -4 -2 11 14 6 0 9 11 8 7 7 8 9 12 16 13 4 5 9 7 6 10 9 -2 -7 0 6 6 5 9 16 15 9 4 2 3 7 8 4 -0 2 6 7 7 14 17 11 5 4 4 3 3 3 3 3 3 3 3 3 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 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 8 14 16 11 6 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 4 5 8 11 11 10 13 13 10 9 8 7 2 -2 -1 -1 -0 1 -1 -3 0 3 4 6 5 4 5 6 6 6 6 7 9 8 7 10 12 10 6 5 4 4 4 5 5 4 4 5 4 4 4 5 6 6 6 6 7 8 8 9 7 5 3 2 3 4 4 5 5 6 5 6 6 6 6 6 5 5 5 5 4 4 6 6 4 4 4 5 6 6 5 5 4 4 4 3 3 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 5 4 4 5 6 6 5 5 5 3 2 3 6 8 8 7 7 6 5 4 3 2 2 2 2 2 2 3 3 3 2 1 1 2 4 5 6 6 6 5 4 4 4 3 3 3 3 2 2 3 3 3 4 4 4 5 5 5 6 5 5 5 5 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 5 5 4 5 5 5 4 4 5 5 5 5 5 6 7 19 38 50 55 47 39 31 19 12 11 10 7 3 1 1 2 4 7 9 9 8 6 6 6 8 12 16 14 11 9 5 -2 -5 -1 -0 -1 3 5 4 1 1 3 4 4 8 8 5 10 9 1 -4 -2 8 16 9 4 4 5 7 11 9 9 9 10 10 6 4 6 7 5 2 1 -0 -3 1 10 14 6 0 5 11 11 6 2 3 5 7 7 4 2 4 6 6 5 11 15 12 7 4 4 4 4 4 3 4 4 4 4 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 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 5 4 4 6 13 18 15 8 5 5 6 6 5 4 4 4 3 3 2 3 2 2 2 2 3 4 4 4 5 6 8 11 13 12 10 10 10 7 6 7 7 6 6 4 3 5 5 5 7 6 8 9 7 7 7 7 10 11 10 9 9 8 7 4 3 3 4 4 4 5 4 3 4 4 3 3 3 5 5 5 6 7 7 8 9 10 8 6 4 3 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 7 8 6 5 5 5 5 6 6 5 5 5 5 4 4 3 3 3 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 5 4 4 5 5 6 5 5 5 4 3 2 3 6 8 9 9 8 5 3 3 2 2 1 2 2 3 3 3 3 3 2 2 2 2 3 5 5 5 5 5 4 4 3 3 3 3 2 2 2 3 3 4 4 4 4 5 5 5 5 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 3 3 4 4 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 8 13 30 44 41 44 38 27 16 9 8 8 7 5 2 1 2 4 6 7 9 8 7 6 6 7 10 13 16 15 10 4 -3 -6 -3 3 3 -0 3 5 5 5 7 8 3 1 4 1 0 9 9 3 1 0 3 9 9 6 2 3 11 16 10 7 7 5 7 4 4 5 4 2 -3 -3 -1 1 7 16 15 1 -5 -1 3 4 2 2 6 7 6 5 4 4 4 5 6 5 9 14 14 10 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 4 4 5 11 19 18 10 5 6 7 6 5 5 5 5 5 4 4 3 3 2 2 2 3 3 3 3 3 4 4 5 7 9 9 8 10 9 9 12 12 9 8 7 6 6 7 8 8 7 10 11 8 8 7 7 9 10 8 7 6 5 4 4 3 3 3 4 4 3 3 3 3 4 3 2 2 2 4 4 4 5 6 7 8 9 9 8 7 5 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 6 5 5 5 5 5 5 5 6 6 6 5 5 5 4 3 3 3 3 4 5 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 5 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 5 5 4 4 3 3 4 5 5 5 5 4 3 2 2 3 6 10 11 10 6 3 3 3 2 2 2 2 2 3 3 4 4 3 3 3 2 2 3 3 4 5 5 5 4 4 3 3 3 3 3 2 2 2 3 3 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 11 19 26 24 18 17 17 10 5 2 5 6 5 4 3 3 4 6 6 7 7 7 6 6 7 9 12 14 16 14 6 -3 -8 -4 3 4 5 4 6 5 5 7 14 14 9 6 4 -3 2 12 10 6 6 4 2 4 7 8 7 7 14 16 8 3 3 4 6 2 2 5 4 3 -3 0 8 7 6 12 9 -3 -6 -1 -0 -2 -3 0 8 10 7 4 3 3 4 5 7 6 6 13 16 13 6 5 4 4 3 4 4 4 4 4 4 4 3 2 3 3 3 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 5 5 5 4 5 5 4 5 10 18 20 13 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 9 11 9 7 8 7 5 5 6 6 7 8 9 7 7 6 4 4 6 6 5 4 4 3 3 3 3 3 4 3 3 2 2 3 3 3 2 2 2 2 3 3 4 5 5 6 7 7 8 7 6 6 5 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 3 3 3 3 4 4 3 4 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 3 3 3 3 3 4 4 4 4 4 3 2 2 2 5 9 11 11 7 4 4 5 4 3 2 2 2 2 2 3 4 4 3 2 2 2 2 3 3 4 4 5 4 3 3 3 3 3 3 3 2 2 2 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 3 3 3 3 4 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 10 11 15 20 15 7 11 8 4 1 -1 -2 1 4 4 4 4 4 4 7 7 6 5 4 5 8 9 11 14 16 16 10 -1 -8 -4 2 4 1 4 8 9 11 6 5 11 12 11 11 8 4 7 9 6 6 7 6 2 0 4 11 14 12 11 9 2 -0 2 7 8 2 -0 5 5 2 1 7 13 6 3 8 5 -3 -4 1 1 -2 -4 -0 9 13 7 4 3 4 4 4 6 6 5 13 19 13 6 5 4 4 4 4 4 3 4 4 3 3 3 2 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 5 8 16 20 15 7 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 7 7 6 4 4 4 3 3 4 4 4 5 4 3 3 4 4 5 4 4 3 3 3 3 4 4 4 3 3 2 3 3 3 3 2 2 2 2 3 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 3 4 4 4 3 4 4 3 3 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 4 3 3 3 3 3 3 4 4 4 4 3 2 2 3 7 10 10 7 5 4 5 5 4 3 3 2 2 2 2 3 3 3 2 2 3 3 3 3 4 4 4 4 3 3 3 3 4 3 2 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 3 3 3 3 3 3 4 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 6 7 8 8 10 12 16 20 20 12 4 11 6 -4 -4 -6 -6 -4 0 3 5 4 4 4 5 7 6 5 4 5 9 12 14 15 15 13 2 -7 -5 2 5 4 -2 -2 7 15 19 6 4 0 2 9 11 9 7 4 3 6 7 7 6 1 -1 3 9 14 13 8 4 1 1 5 12 8 -0 -5 0 2 1 2 5 9 1 2 4 3 1 -3 4 7 2 0 5 14 16 6 4 4 2 2 4 6 7 7 14 20 12 6 5 4 3 4 4 3 3 3 3 3 3 3 3 3 4 4 3 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 1 1 2 5 6 6 5 6 6 6 5 6 6 6 6 6 5 4 4 5 4 6 12 18 17 9 4 3 3 3 4 4 4 5 5 5 6 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 5 6 6 6 5 4 2 2 2 3 2 3 3 3 4 4 5 5 5 4 3 3 3 4 4 4 5 4 4 3 3 3 3 3 3 3 2 3 3 4 4 5 5 5 6 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 6 5 5 4 3 4 5 6 6 6 6 6 5 5 4 4 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 3 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 5 4 3 3 3 3 3 4 4 3 3 3 2 1 2 5 9 9 8 5 5 5 5 5 5 4 4 3 2 2 2 2 3 3 3 2 3 3 3 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 3 3 3 4 3 4 4 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 7 7 8 9 10 16 24 26 21 11 3 4 -5 -15 -11 -10 -10 -8 -5 -1 2 4 4 4 4 6 7 7 8 9 11 12 14 15 12 4 -6 -6 1 4 1 -2 0 2 4 10 12 3 -1 -6 -1 8 8 8 7 4 4 7 7 9 9 4 3 5 7 10 10 6 3 3 5 10 13 6 -3 -1 1 3 4 -4 -6 5 3 3 1 1 2 1 7 10 5 5 11 17 19 12 6 3 0 -0 4 7 6 9 14 18 11 5 4 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 2 0 3 6 7 7 6 6 6 7 6 6 7 7 6 6 6 5 5 5 5 4 7 13 16 11 5 3 3 3 4 4 4 5 5 5 6 6 6 5 5 4 5 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 4 4 6 7 6 5 4 3 2 2 2 2 3 4 4 4 5 5 5 5 5 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 3 3 3 3 4 5 5 5 5 6 6 5 5 5 4 4 6 7 7 6 5 5 4 4 4 4 4 4 4 5 5 5 6 5 4 4 3 4 5 6 6 7 7 6 6 6 5 5 4 4 4 4 4 4 4 3 2 2 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 5 4 4 3 4 3 3 3 3 4 4 4 3 1 1 4 8 10 8 7 6 5 5 5 5 5 5 5 5 3 3 2 2 3 3 3 2 3 3 4 4 4 5 5 4 3 3 3 3 2 2 1 1 2 2 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 8 8 10 13 25 35 29 19 5 -5 -9 -20 -24 -13 -8 -7 -5 -4 -1 2 4 4 3 3 4 5 8 13 15 13 12 13 11 3 -4 -6 -1 3 4 1 -3 -0 4 6 5 4 5 -3 -2 5 7 5 4 7 11 10 8 6 11 13 9 8 11 10 7 5 4 4 6 8 9 8 2 -2 6 10 12 6 -11 -12 7 11 2 -0 0 0 4 6 3 5 13 14 11 16 19 8 1 -0 2 5 5 4 8 13 18 12 5 4 3 3 4 3 3 3 3 3 3 3 4 3 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 5 5 5 4 4 5 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 4 2 2 3 6 7 7 7 6 6 6 7 7 7 7 7 7 7 6 5 5 4 4 5 8 12 13 8 3 3 3 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 4 4 5 7 7 7 5 4 3 2 1 2 3 4 4 5 7 6 6 5 4 3 3 3 3 4 4 5 6 7 8 8 6 5 5 4 4 4 3 4 4 5 5 6 6 6 6 5 5 4 4 4 4 6 6 5 4 4 3 4 4 4 4 4 4 5 4 5 5 5 5 4 4 3 3 4 5 6 7 7 6 7 7 7 7 7 6 6 5 5 5 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 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 8 8 8 7 5 4 4 4 4 4 4 4 4 4 5 4 2 1 2 5 9 9 8 7 6 4 4 4 4 5 6 6 6 4 3 2 2 3 3 3 3 3 3 3 3 5 5 5 4 3 2 2 2 2 1 1 2 2 3 3 3 3 3 3 3 3 4 4 5 4 5 5 6 6 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 6 6 7 8 9 13 23 38 40 26 11 -5 -7 -12 -24 -22 -11 -5 -2 -0 2 5 7 7 5 3 3 3 4 8 15 19 16 13 11 7 -0 -4 -1 2 1 2 5 6 2 -1 0 2 5 4 0 4 10 7 3 1 8 17 16 9 2 7 8 7 8 12 12 7 3 2 5 9 8 4 0 -0 3 7 8 9 4 -10 -6 16 19 -1 -1 4 -1 5 8 1 4 13 10 8 18 22 10 -0 -1 3 6 5 3 6 12 18 14 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 5 5 4 4 4 4 4 4 5 5 4 5 5 4 3 2 3 5 6 7 7 7 6 6 6 7 7 7 8 8 8 7 5 5 4 3 4 4 7 12 11 7 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 6 6 6 6 5 5 5 5 5 4 3 4 6 8 9 7 6 5 3 2 2 2 3 4 6 8 8 7 5 4 3 3 3 3 3 4 5 7 10 12 12 10 7 6 5 5 4 4 5 4 5 6 6 7 6 6 5 5 5 4 4 4 4 6 6 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 4 5 6 6 6 6 7 7 8 7 6 5 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 9 8 6 5 5 5 4 4 4 3 4 4 5 4 3 1 1 4 6 9 9 8 7 4 3 3 3 3 5 6 7 6 4 3 2 3 3 4 3 3 3 3 3 5 5 5 4 3 3 3 2 2 1 1 2 2 2 3 3 3 4 3 3 3 4 4 4 4 5 5 5 5 6 5 5 4 4 5 4 4 4 4 3 3 4 4 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 4 5 5 5 4 4 4 4 4 4 5 7 7 8 10 14 22 35 42 32 13 3 -2 5 -5 -18 -15 -9 -5 -2 1 5 8 9 8 6 4 3 4 5 9 14 18 18 13 9 5 2 1 4 2 0 1 2 3 9 10 5 2 4 1 0 6 12 10 7 6 11 21 19 7 4 4 3 4 4 5 7 8 5 3 5 7 3 -3 -4 0 7 7 3 2 -2 -3 5 24 22 -3 1 8 -1 4 9 6 6 3 0 11 24 23 11 2 2 5 5 5 5 7 11 19 15 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 5 6 7 7 6 6 6 6 6 6 7 8 8 7 6 5 4 4 3 3 4 8 11 11 7 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 6 6 6 6 6 6 6 5 4 3 3 6 9 10 8 5 4 3 2 2 2 4 6 8 9 8 5 3 3 2 2 3 3 4 5 9 14 17 17 14 10 7 5 3 4 6 6 5 6 6 7 8 7 6 6 5 5 4 4 4 4 6 6 4 3 3 4 4 4 5 5 5 6 6 5 5 5 5 5 5 4 3 2 2 2 3 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 10 9 7 6 5 5 5 4 4 4 4 4 4 4 4 2 2 3 5 6 8 8 7 6 3 2 2 2 3 5 7 7 6 4 2 2 4 4 4 4 4 3 4 5 5 5 5 4 3 3 3 3 2 2 2 2 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 5 5 5 5 4 4 4 4 4 5 6 7 8 10 14 20 28 34 34 22 2 -5 3 4 -8 -17 -13 -8 -4 0 4 7 8 9 9 6 4 4 6 8 11 13 17 18 15 9 4 4 5 4 3 4 6 4 -2 1 9 10 10 7 0 0 7 10 11 14 15 18 21 14 1 5 8 8 6 3 1 2 6 6 5 6 3 -2 -5 -2 6 13 11 4 -4 -7 2 14 26 15 -4 0 6 2 4 4 6 8 2 1 15 25 22 11 5 5 6 7 7 7 8 13 20 15 5 3 4 4 4 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 3 2 3 5 7 7 7 6 6 6 6 5 6 7 7 7 7 6 5 4 3 3 4 4 8 11 9 6 4 4 4 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 3 2 4 7 11 11 8 5 3 3 2 2 3 5 8 10 9 5 3 2 2 2 2 3 3 5 9 14 18 20 17 12 7 3 2 5 7 6 6 6 7 7 7 7 7 6 6 5 5 4 4 4 5 6 5 3 3 4 4 5 5 5 5 6 6 6 5 6 6 7 6 5 4 3 2 1 1 2 3 3 2 2 1 1 1 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 10 9 8 6 5 5 6 6 5 5 5 4 4 4 3 3 2 2 4 4 5 6 7 7 5 3 2 2 2 3 4 7 8 5 3 2 3 4 5 5 4 5 5 5 5 5 6 5 4 3 4 4 3 3 3 2 3 3 3 3 4 4 4 5 5 5 5 4 5 4 4 4 3 4 5 5 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 4 4 4 4 3 4 4 4 5 5 5 5 5 4 5 4 4 5 7 8 9 11 14 18 21 22 25 27 19 0 -12 -9 -19 -22 -17 -9 -5 0 4 6 7 7 8 8 6 4 5 7 11 13 14 15 17 16 7 1 2 2 1 4 8 7 8 8 5 1 -0 5 4 1 4 8 9 10 15 20 22 16 8 4 4 7 9 6 3 2 1 2 5 10 9 2 -0 1 5 13 18 13 4 0 -2 -0 12 20 13 2 1 2 4 7 4 4 6 7 12 18 22 19 11 6 6 6 8 8 7 8 14 19 14 5 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 5 5 4 4 4 4 3 3 4 4 5 5 4 4 3 3 3 5 6 6 6 6 5 5 5 6 6 6 6 6 7 6 5 5 4 3 4 5 7 8 7 5 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 7 7 7 6 4 3 3 5 8 10 11 8 5 3 1 1 2 4 6 9 8 6 3 2 1 1 2 2 3 4 7 11 15 18 17 12 6 1 2 5 6 6 6 6 7 7 7 7 7 6 6 6 6 4 4 4 5 6 4 3 3 3 3 5 5 5 6 6 6 7 6 6 6 7 7 6 5 5 3 2 1 1 2 2 2 1 1 0 0 0 -0 -1 -0 0 1 3 3 3 4 3 3 3 3 4 4 3 3 3 3 4 4 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 7 8 9 9 7 6 5 5 6 6 6 6 7 7 6 6 4 3 3 3 3 4 4 5 6 7 7 4 2 3 2 1 1 3 5 6 4 2 3 3 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 3 3 3 2 2 2 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 3 4 3 3 4 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 8 9 11 13 15 17 16 14 13 14 16 8 -7 -18 -19 -22 -19 -8 -2 1 5 7 6 5 6 8 8 6 4 5 9 13 15 15 13 14 14 6 3 5 4 0 7 11 6 7 13 8 2 -0 2 2 3 6 8 8 8 11 19 24 16 9 7 5 5 4 4 1 3 2 -2 2 14 12 4 3 6 8 12 13 5 1 8 6 -1 3 13 17 14 8 0 6 8 6 4 5 9 12 15 17 14 9 7 6 6 6 7 7 8 14 18 12 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 5 5 4 4 4 3 3 3 4 6 6 6 6 6 6 5 5 5 6 6 6 5 5 5 5 4 4 4 5 5 5 4 5 5 5 6 6 5 4 4 3 2 2 2 2 2 3 3 3 3 4 4 4 4 6 6 6 6 6 7 7 6 4 4 4 5 8 11 11 7 3 2 1 1 3 4 6 6 5 4 2 1 1 1 2 2 2 4 6 9 11 11 9 5 2 2 4 4 5 6 6 7 7 7 7 6 7 8 8 6 5 4 4 6 7 5 3 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 7 6 4 3 2 3 3 3 2 2 2 1 1 1 0 -0 0 1 2 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 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 6 7 9 9 8 7 6 4 5 5 5 6 8 8 8 8 6 5 4 4 4 4 4 4 4 7 7 5 4 4 3 1 -1 -1 1 4 4 3 3 3 3 5 6 5 5 5 5 5 5 5 5 5 6 7 6 5 4 4 3 3 2 2 2 4 4 4 4 5 5 5 5 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 5 5 5 5 8 12 11 14 16 15 12 9 9 7 4 -3 -14 -19 -19 -12 -6 -3 3 4 6 7 6 4 4 5 9 9 6 5 7 10 14 16 15 11 11 14 10 7 7 6 5 9 10 5 6 8 4 1 0 1 2 6 7 6 5 6 8 16 23 20 15 10 4 1 2 3 0 3 4 -4 0 11 11 6 6 6 4 9 11 4 -1 4 8 2 -0 7 15 16 10 3 8 8 7 8 11 12 9 9 11 9 6 7 7 5 4 5 6 8 14 19 12 6 5 5 4 4 5 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 4 4 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 6 6 6 4 4 3 2 1 1 1 1 3 3 3 4 3 4 4 4 4 5 6 6 6 6 7 7 6 5 5 4 5 7 10 10 7 4 2 1 1 2 4 5 5 4 2 1 1 1 0 0 1 2 3 3 4 4 4 5 6 7 6 4 4 5 6 6 7 7 6 5 6 9 12 10 6 4 5 8 10 8 5 4 3 3 3 4 4 5 5 6 6 6 6 6 6 6 5 5 7 7 7 6 5 4 4 3 3 3 3 4 3 4 3 2 1 1 2 3 4 4 4 3 3 4 4 4 4 5 5 5 5 5 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 5 7 8 8 9 9 7 4 3 3 4 5 7 8 9 8 7 6 5 4 4 5 5 5 4 6 7 6 6 7 5 3 1 0 -0 1 3 4 3 2 3 5 6 6 5 5 5 5 5 5 5 5 6 6 6 6 7 6 5 4 3 2 2 3 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 5 5 4 5 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 5 5 10 14 13 13 13 9 6 7 10 9 4 -2 -10 -10 -4 3 7 8 9 9 8 6 4 3 3 7 10 8 6 6 9 12 15 16 13 8 8 13 16 11 7 5 5 7 7 2 2 8 10 7 1 -3 2 10 6 2 2 4 6 13 18 17 16 14 4 -2 1 3 6 9 7 -1 4 8 6 3 6 4 2 4 6 2 -1 3 8 4 -1 4 8 7 3 5 12 5 3 14 19 15 9 6 5 3 4 6 4 1 1 3 6 8 15 17 10 6 6 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 3 3 2 2 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 5 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 6 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 2 4 5 5 4 4 3 2 -0 -0 1 3 3 4 4 4 3 3 3 3 3 5 5 5 6 6 6 7 7 6 6 5 4 4 5 8 10 9 6 3 1 1 2 3 4 4 3 2 1 1 -1 -0 0 1 1 0 -0 1 3 6 10 12 9 5 4 5 6 6 7 7 5 2 2 8 14 13 8 3 4 9 13 12 8 5 4 4 5 5 4 5 5 6 6 6 7 7 7 6 5 4 5 6 7 8 7 7 6 5 4 3 4 5 6 6 5 4 3 3 3 4 4 5 4 4 4 5 4 4 4 5 5 4 5 5 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 4 5 7 8 9 10 9 7 4 4 4 4 6 8 8 8 7 6 6 5 5 5 6 6 6 6 6 7 8 9 8 5 4 3 3 2 2 3 3 2 2 4 6 6 6 5 5 5 5 5 5 4 5 5 6 7 8 9 7 6 3 2 2 3 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 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 5 4 4 4 5 5 5 4 5 5 7 11 15 14 10 7 6 5 8 12 13 16 26 25 19 19 19 17 14 11 8 5 3 2 4 6 9 10 8 6 8 12 14 15 15 11 6 5 8 12 10 8 7 5 6 5 1 2 8 7 5 6 0 8 14 3 -1 4 7 7 13 14 9 10 13 7 -3 -2 2 13 19 12 7 10 10 4 1 5 3 -2 -2 1 -2 -2 3 5 4 3 4 -0 -3 1 9 15 2 -4 14 27 18 6 -2 -3 -1 2 3 2 1 1 3 5 7 12 16 11 6 6 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 2 2 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 5 6 6 7 6 5 5 5 5 5 5 5 5 5 5 5 6 5 4 4 3 3 2 1 1 3 3 4 4 3 3 2 0 -1 1 3 4 4 3 4 4 4 3 4 4 4 4 5 5 6 5 6 7 7 6 6 5 4 3 5 7 9 9 7 4 2 1 2 3 3 3 2 2 1 0 -0 0 0 0 -2 -3 0 4 8 12 13 10 5 5 5 6 6 6 6 5 2 0 4 11 13 9 3 1 6 12 13 10 7 6 6 6 5 5 6 6 6 6 7 7 7 7 7 6 5 4 4 4 6 8 9 9 8 7 5 4 5 6 6 6 6 5 4 4 4 4 5 5 4 4 4 5 4 5 5 4 5 5 5 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 4 5 5 6 7 9 10 9 8 7 6 5 6 7 7 6 6 5 5 5 5 5 6 8 8 7 6 7 9 9 8 6 5 5 4 3 3 3 3 3 2 3 4 6 6 5 5 4 4 5 4 4 5 6 6 6 8 9 9 7 4 2 1 2 3 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 5 5 5 6 8 11 15 15 11 7 5 5 6 9 10 11 22 45 46 34 27 22 15 9 4 2 1 2 3 6 9 10 9 8 7 9 13 16 15 14 11 6 5 6 4 2 5 10 10 9 6 3 6 3 4 7 8 5 13 12 2 1 7 9 10 15 14 8 11 17 14 4 -1 2 11 18 16 14 10 9 5 4 7 3 -4 -1 8 7 8 10 6 8 11 3 -6 -4 7 16 14 4 -2 15 32 15 -2 -8 -4 3 6 5 7 6 2 3 5 6 10 16 14 7 5 5 5 5 5 4 4 4 3 3 3 3 3 4 5 4 4 3 2 2 3 3 4 4 4 4 4 5 4 5 5 5 5 4 5 5 4 5 5 5 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 3 3 3 3 3 3 5 4 2 3 1 -0 1 3 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 6 7 8 7 7 6 5 4 4 4 6 8 8 6 4 2 1 1 2 3 3 3 3 2 1 1 1 0 -2 -3 -1 3 8 12 13 10 6 5 6 6 6 6 6 6 4 1 1 5 9 9 4 -1 1 7 11 10 8 7 7 7 6 6 6 6 6 7 7 7 7 6 7 7 7 6 4 3 3 5 7 9 9 8 7 5 5 5 6 6 6 6 5 5 5 4 5 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 6 8 10 10 10 9 8 6 7 7 6 5 4 4 4 5 5 6 8 8 7 5 5 7 9 7 5 4 3 3 3 5 5 4 3 2 2 3 4 6 6 5 4 4 4 3 5 6 6 5 4 5 7 8 6 4 2 2 2 2 3 3 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 8 13 14 13 10 7 6 5 5 7 8 8 8 14 25 25 19 13 7 1 -3 -3 -1 1 3 6 8 10 10 9 8 7 9 14 17 16 14 9 5 7 7 5 3 3 8 10 10 8 7 6 -0 6 16 7 3 9 5 3 6 9 9 10 12 12 11 11 15 22 18 6 2 4 8 12 15 11 5 4 5 8 3 -0 7 11 11 11 11 11 15 12 1 -3 2 11 18 13 10 6 22 31 9 -9 -8 3 12 14 14 14 10 4 3 4 6 10 16 15 8 5 5 5 5 5 4 3 3 3 3 3 3 3 4 4 4 4 3 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 4 4 4 5 5 5 5 5 5 5 5 4 4 5 6 6 6 6 5 5 4 5 5 4 4 4 5 4 2 3 3 1 1 3 4 4 3 3 3 3 3 3 3 4 4 4 5 5 6 7 7 8 8 7 7 6 5 4 4 4 5 5 5 5 4 3 1 2 2 3 4 4 4 3 2 1 1 0 -2 -3 1 7 11 11 8 6 6 6 6 6 6 6 6 6 3 0 1 5 8 5 -0 -2 3 7 7 7 7 7 7 6 6 6 6 6 6 6 7 6 5 6 7 7 8 7 5 4 4 5 6 7 7 6 6 4 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 4 4 5 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 3 4 5 8 9 10 11 10 8 7 7 6 5 4 3 4 4 5 6 7 7 6 4 4 5 7 7 6 3 2 2 3 5 7 6 4 3 1 2 3 5 5 6 5 4 3 4 6 7 7 4 3 3 5 6 6 5 3 2 2 2 2 3 3 4 5 6 6 5 4 4 5 5 5 5 5 5 4 4 5 5 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 8 12 12 8 6 6 6 6 6 7 8 7 2 -1 -9 -10 -7 -7 -8 -8 -5 -1 1 4 6 8 9 10 9 9 9 8 9 13 16 18 15 5 3 8 5 5 7 7 7 7 7 6 9 9 2 6 13 7 7 8 2 4 6 10 9 9 9 8 9 6 7 19 20 9 1 1 4 7 10 10 6 5 5 6 4 2 10 11 8 3 3 10 14 6 -2 1 9 13 8 7 15 16 27 22 2 -10 -4 9 16 18 18 15 10 6 5 5 5 9 15 16 9 4 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 5 4 4 4 4 5 4 4 4 5 4 4 5 5 5 4 4 4 5 5 6 5 5 4 3 4 4 5 5 5 5 5 4 3 4 4 5 6 6 7 7 6 6 5 5 5 4 5 4 3 1 2 3 2 2 3 4 4 4 3 3 3 3 3 3 3 4 4 5 6 6 7 8 8 8 7 7 6 6 6 6 6 5 4 3 4 6 6 4 2 2 2 3 4 5 5 3 2 2 2 0 -3 -1 6 8 7 6 6 5 5 5 5 6 6 6 6 5 3 2 3 5 6 3 1 2 4 5 5 5 6 6 6 5 5 5 5 6 6 6 6 4 5 6 6 7 8 7 5 4 4 5 5 5 5 5 6 5 5 5 5 6 6 5 5 4 3 4 3 3 4 4 4 4 5 5 4 5 4 4 5 5 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 2 3 3 3 4 5 6 8 10 11 10 9 8 7 5 4 3 3 4 5 5 5 5 4 3 3 4 6 8 6 5 3 1 2 5 7 7 6 4 3 2 3 3 4 5 5 4 4 6 8 9 8 5 4 4 4 5 6 6 5 4 3 3 2 2 3 4 4 5 6 6 5 4 4 5 5 5 4 4 5 4 5 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 10 11 7 6 6 6 6 6 8 9 6 -0 -7 -16 -15 -11 -8 -5 -2 1 4 5 5 6 10 11 10 10 9 9 9 10 12 13 17 12 -0 3 6 -0 4 9 11 10 9 6 6 11 11 4 1 1 4 10 7 3 5 3 6 7 8 10 11 11 5 2 6 7 5 3 2 5 7 5 5 6 8 9 8 8 5 6 3 -5 -6 1 10 8 -2 -4 4 12 9 1 6 17 25 26 13 -2 -6 1 10 13 14 14 10 6 6 7 5 5 8 13 16 10 5 5 5 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 5 4 3 3 3 4 4 5 5 5 5 4 5 4 4 4 5 4 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 5 4 4 4 5 5 4 5 5 5 4 4 5 5 5 5 5 5 4 4 3 3 4 5 5 5 4 4 4 3 3 4 5 6 6 7 7 7 6 6 5 5 4 4 2 1 1 2 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 6 7 8 7 7 7 7 7 10 11 11 10 7 6 5 5 6 6 5 3 2 3 4 5 6 4 3 2 2 3 1 -0 4 5 4 4 5 5 5 5 5 5 5 6 7 6 5 4 4 5 5 5 4 3 4 4 4 4 5 6 5 4 4 4 4 5 5 5 5 5 4 5 5 6 7 7 6 6 5 5 5 4 4 5 6 6 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 3 3 3 3 4 5 7 9 10 10 10 9 7 6 5 4 4 4 4 4 3 2 2 2 3 5 7 7 6 5 4 2 3 5 5 5 6 6 4 3 2 3 4 4 5 5 6 8 9 9 8 7 6 6 5 6 6 5 4 3 3 3 2 2 3 4 4 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 4 4 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 5 5 4 4 7 10 9 7 7 6 6 7 11 8 2 2 4 3 4 4 4 4 5 6 5 4 5 8 12 13 12 10 10 11 10 10 10 10 10 6 2 12 10 3 5 6 5 7 9 7 8 8 6 3 -1 -1 3 7 4 3 2 5 3 3 9 14 16 14 10 3 -4 -1 11 15 12 11 10 7 4 6 7 11 9 9 7 3 1 -6 -6 1 4 -3 -7 -2 9 12 4 1 7 17 28 20 6 -1 0 5 8 9 10 8 6 4 5 6 5 5 9 16 18 10 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 4 2 2 3 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 3 3 4 5 5 5 5 5 4 3 3 3 4 5 5 6 6 6 6 6 6 5 5 4 3 2 2 3 4 3 3 4 5 5 4 3 4 4 4 5 5 4 4 5 5 5 6 7 7 6 6 7 7 9 13 13 13 13 10 8 6 5 6 8 8 6 4 3 4 5 5 5 4 3 3 5 3 1 2 3 3 3 4 4 4 5 5 5 6 6 6 7 6 6 5 5 6 6 5 4 4 5 4 3 3 4 4 4 3 3 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 4 4 5 5 6 6 6 6 6 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 nan nan nan nan nan nan 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 6 8 12 16 20 22 19 15 11 12 17 4 6 21 20 15 16 22 14 1 0 3 7 10 13 14 13 10 7 6 7 9 11 13 14 15 14 12 11 9 8 10 12 14 15 12 11 10 10 12 16 19 19 17 14 15 13 11 9 11 13 15 17 17 17 18 17 16 16 16 16 15 14 11 10 11 12 12 13 13 13 13 14 13 11 10 10 10 10 10 9 9 10 11 12 13 13 14 14 14 14 14 14 14 15 15 14 13 12 12 13 14 14 13 13 13 13 13 14 14 13 12 11 10 11 12 12 13 13 12 12 11 11 11 12 13 15 16 17 17 16 13 12 12 13 13 12 11 12 11 10 11 12 14 15 14 13 13 15 17 20 19 14 9 9 11 14 14 12 10 10 11 11 11 12 12 13 15 16 15 13 11 10 11 12 13 13 14 15 17 18 17 17 17 17 17 17 17 18 18 18 19 22 23 21 18 14 12 12 12 11 9 8 9 10 12 13 12 10 8 8 9 11 13 15 16 16 14 12 11 11 12 12 13 13 14 15 14 13 13 13 13 14 15 15 13 12 12 12 11 11 10 11 11 11 11 10 10 10 10 11 13 14 14 14 13 12 12 10 11 12 12 13 14 14 13 12 11 10 10 10 9 8 10 12 13 13 13 12 12 12 11 11 11 11 10 9 6 5 6 4 7 11 12 12 11 10 7 6 7 8 10 10 10 11 11 11 11 11 11 11 11 11 12 13 15 16 16 15 13 10 10 11 11 10 10 10 10 10 10 10 11 11 10 9 10 10 11 11 11 11 11 11 11 12 12 12 13 13 13 15 18 17 14 14 19 17 11 8 4 -0 -0 8 14 16 15 15 15 15 16 16 15 15 13 13 18 27 32 31 27 23 23 22 19 15 12 11 10 11 11 11 10 7 6 6 8 11 11 12 12 12 11 10 10 11 12 13 13 11 9 9 12 13 13 13 10 10 9 11 13 16 17 15 13 11 11 12 13 13 13 12 10 9 9 10 13 15 15 13 11 13 14 12 9 7 8 9 11 11 10 10 9 10 10 10 11 12 12 12 12 12 12 14 16 16 16 15 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan -0 7 6 -5 9 23 24 17 13 12 19 15 3 1 4 8 12 13 13 12 9 7 9 11 14 15 15 13 9 9 9 8 8 9 12 15 14 12 9 9 9 11 15 16 16 14 13 14 14 14 13 13 14 14 14 14 14 13 11 9 9 11 13 15 12 10 11 11 12 12 13 13 13 13 13 14 12 11 10 9 9 9 9 10 11 11 12 13 14 15 15 15 14 14 13 14 14 15 14 13 13 13 14 14 15 15 15 14 13 13 14 14 13 13 13 14 14 14 14 15 16 17 17 15 13 13 14 15 16 16 14 14 13 12 12 12 13 13 12 12 12 11 10 10 11 12 14 14 14 15 17 19 20 20 18 15 13 12 12 13 12 10 10 11 11 11 11 11 12 11 11 10 11 14 14 14 15 15 14 14 14 14 15 15 14 15 15 16 15 14 14 11 9 11 17 23 25 25 22 18 15 14 14 12 11 11 12 14 12 10 7 6 6 9 12 14 14 16 14 11 10 10 11 12 13 14 15 15 14 13 12 11 12 11 9 10 11 12 13 12 11 10 11 11 11 11 11 10 10 10 11 12 13 14 15 14 13 12 11 11 10 10 10 11 11 12 12 12 13 13 12 11 10 10 10 10 11 11 12 12 12 12 12 11 10 9 9 8 7 3 2 8 12 14 13 12 11 10 8 5 4 5 7 8 9 10 10 10 10 10 10 11 11 11 10 11 13 14 17 17 14 12 10 9 10 10 10 10 11 10 10 11 12 12 11 10 8 9 10 11 11 12 12 11 11 11 11 11 12 12 13 13 15 16 18 18 16 15 11 6 2 2 6 8 12 15 15 14 14 13 14 16 16 15 14 13 13 18 26 30 30 25 20 21 20 17 14 12 11 10 10 11 12 13 13 12 12 11 10 9 10 11 11 11 12 12 11 10 12 13 13 14 13 13 16 15 13 12 11 11 13 13 15 16 16 13 11 13 14 16 15 14 12 9 8 10 12 11 11 10 9 8 10 12 10 10 10 12 11 11 11 9 10 10 10 10 11 11 12 12 12 12 11 13 15 16 16 16 17 17 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 8 15 29 21 7 -0 4 9 11 11 10 11 13 14 14 15 14 14 13 11 10 9 9 9 10 11 13 15 14 11 8 8 10 11 13 14 13 10 11 12 13 14 15 14 13 12 11 11 11 9 7 6 8 10 14 15 12 10 11 12 13 13 13 13 13 13 15 15 15 14 11 9 9 8 10 11 11 11 11 12 13 15 15 15 14 14 14 14 14 14 14 13 13 13 14 15 15 15 16 16 14 14 14 14 14 15 15 16 15 15 15 15 16 17 17 17 16 17 17 16 16 14 12 11 12 12 13 14 15 14 13 12 12 11 10 9 9 9 10 13 14 16 17 17 16 16 17 17 16 15 14 13 13 13 11 10 11 13 12 12 12 10 8 7 9 12 12 13 15 15 15 13 13 13 13 13 13 13 14 15 15 13 14 12 9 9 10 13 17 24 29 29 23 18 16 15 15 15 15 14 13 11 9 8 8 10 12 14 14 15 14 12 11 12 12 13 13 14 14 13 12 12 11 10 10 10 9 9 10 11 13 13 12 12 11 10 9 9 10 11 12 11 11 11 12 13 14 14 12 11 11 10 11 11 11 11 10 10 10 11 11 12 11 10 10 11 11 11 11 12 12 12 11 11 11 10 9 8 6 5 6 7 8 11 13 14 13 11 10 10 9 6 5 5 6 8 9 10 10 10 9 9 10 11 12 12 11 12 12 13 15 15 13 12 10 9 9 10 10 10 10 10 11 11 12 11 10 9 9 9 11 12 12 12 12 12 11 11 12 12 12 13 13 13 16 18 19 18 16 13 8 5 5 9 12 13 14 14 14 13 13 13 15 16 16 15 14 14 14 18 24 30 28 22 19 16 16 16 16 15 14 13 12 11 11 14 16 16 14 13 12 10 8 10 11 11 11 11 10 9 8 8 10 15 18 17 16 15 12 11 10 11 13 16 18 18 16 12 13 15 14 13 11 11 11 10 10 12 13 14 11 9 8 11 12 13 13 13 13 12 11 10 9 10 10 10 10 10 11 11 12 12 12 13 12 13 14 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 13 14 13 13 15 16 15 14 13 11 9 9 10 11 11 11 12 13 14 14 12 11 10 11 11 11 12 11 10 8 6 8 10 10 11 12 13 12 10 10 9 8 7 8 11 14 16 14 10 10 11 12 13 14 13 13 13 14 16 18 18 17 14 9 7 8 11 12 12 12 12 13 13 14 15 15 15 14 14 14 14 14 14 13 13 13 13 14 14 14 16 15 14 14 14 16 16 16 16 16 16 15 15 15 15 16 16 15 15 15 15 13 12 11 11 11 12 13 15 15 16 15 14 13 14 12 11 11 11 9 9 10 10 12 14 15 14 14 15 15 16 15 15 14 14 15 13 11 12 13 14 13 12 10 9 10 10 10 10 10 11 13 13 13 13 13 13 13 13 13 12 13 13 13 14 14 13 12 10 9 10 14 22 27 27 24 22 22 21 18 16 15 13 11 10 10 11 11 12 13 14 13 12 11 11 12 12 13 14 14 14 13 12 11 11 10 10 10 10 9 10 11 11 13 14 14 12 9 7 8 12 15 15 13 11 10 10 11 13 14 13 12 13 12 12 12 12 12 11 10 10 10 11 11 11 11 10 10 11 12 12 13 13 13 12 11 10 9 8 9 8 7 8 9 11 12 13 13 12 11 11 11 11 10 9 8 9 9 9 10 10 10 10 10 11 12 12 12 12 12 12 12 13 12 12 11 10 10 9 9 10 10 10 11 11 11 10 9 9 9 10 11 12 12 13 13 12 12 12 12 12 12 13 13 12 16 20 20 17 14 12 11 10 7 9 12 13 12 12 13 14 14 14 14 15 16 15 15 15 14 14 18 24 30 30 24 18 14 13 14 15 15 14 14 15 14 14 14 14 15 14 13 13 14 13 14 13 12 12 13 10 9 7 6 7 12 17 16 16 14 12 9 8 11 14 18 19 17 13 11 11 10 10 9 8 9 10 10 12 15 17 17 15 12 10 13 15 15 14 13 12 11 11 10 9 9 10 9 9 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 11 8 8 10 11 11 12 13 15 15 14 13 12 13 14 15 14 12 10 7 7 8 9 9 10 12 14 14 14 12 11 10 10 11 12 14 15 15 12 10 11 13 14 13 13 13 12 12 13 16 19 19 16 13 9 6 9 13 14 14 14 14 15 15 16 15 15 16 16 15 15 15 15 14 14 14 13 13 13 13 14 14 13 13 14 15 16 16 16 16 16 17 16 15 15 15 14 14 14 15 14 13 11 11 10 11 13 14 15 15 15 15 14 14 14 14 14 11 11 14 14 13 11 10 9 10 12 13 14 15 14 14 14 14 14 14 14 13 12 13 14 14 13 12 12 13 13 12 11 10 11 13 15 15 15 14 14 13 13 13 13 13 12 12 13 14 14 14 13 12 11 11 12 15 18 20 24 30 34 30 21 17 14 12 10 8 9 11 13 14 13 12 11 10 10 10 12 13 13 13 14 13 12 11 10 10 9 9 9 9 9 9 10 11 11 13 13 12 11 9 10 14 17 17 15 13 11 11 12 13 14 14 13 13 13 13 13 12 12 12 11 11 11 12 12 11 11 12 12 12 13 15 15 15 14 13 13 12 9 9 10 12 12 12 12 11 11 12 12 12 12 12 12 11 10 10 10 10 11 11 11 10 10 10 11 12 12 12 12 12 12 11 10 11 11 10 10 10 10 10 9 9 10 10 11 11 10 9 9 10 10 11 12 12 12 12 13 13 13 13 13 13 13 13 12 13 17 19 16 11 8 9 11 11 10 10 11 12 12 11 13 14 14 14 14 15 15 15 15 15 15 15 18 25 31 30 27 20 16 15 14 12 12 12 12 14 14 13 12 12 12 12 12 12 12 14 16 17 17 16 14 12 12 12 13 14 14 16 12 12 13 11 10 11 13 16 16 16 13 11 9 7 7 7 7 9 11 11 10 10 12 16 17 17 16 16 16 15 14 14 14 12 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 19 16 12 8 6 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 6 7 7 7 8 8 7 7 6 5 5 5 6 5 5 6 6 7 8 8 9 9 9 9 8 8 6 6 6 6 7 6 6 5 6 6 7 7 6 7 7 7 6 3 1 0 0 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 1 2 2 0 0 0 0 0 0 0 1 10 46 89 92 71 56 51 43 18 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 13 14 22 33 42 52 68 90 111 113 107 97 102 103 98 95 93 93 98 100 93 86 91 87 53 31 35 35 38 42 46 52 55 53 48 47 46 52 64 77 81 78 76 75 80 87 102 111 114 111 103 92 85 84 88 93 98 104 107 105 96 83 72 65 66 67 69 73 76 72 62 50 39 29 18 8 6 8 10 12 12 11 10 12 15 18 24 33 50 91 143 157 145 136 131 127 122 113 104 88 75 58 37 29 22 10 6 8 6 3 0 0 0 0 0 0 0 0 0 5 9 7 4 7 17 34 55 75 90 107 120 124 123 122 115 100 86 79 64 55 66 78 75 74 71 59 45 32 22 28 43 58 70 87 95 98 107 124 147 157 141 149 162 166 170 170 168 161 162 160 151 131 127 nan nan nan nan nan nan nan nan nan nan nan nan 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 16 14 10 7 6 5 3 2 3 4 4 4 4 4 3 4 4 5 6 6 6 6 6 6 6 6 6 6 5 4 4 5 5 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 7 5 5 6 6 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 5 3 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 9 3 1 3 4 5 10 31 66 83 69 47 36 34 26 12 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 1 3 2 1 9 18 26 35 47 63 84 94 98 94 98 101 100 96 91 87 86 85 79 72 70 65 44 17 17 24 28 33 40 47 51 49 45 40 38 42 53 68 79 79 69 62 65 78 95 107 111 112 109 103 96 90 86 80 77 78 84 88 85 77 67 61 60 61 62 67 72 69 58 45 30 18 8 2 0 2 4 7 8 6 4 3 6 12 18 23 36 74 125 136 120 109 107 103 98 100 105 100 87 76 40 21 19 12 2 2 1 0 0 0 0 0 0 0 0 0 0 3 6 3 1 1 6 17 33 61 85 100 113 117 115 116 122 120 112 98 90 93 98 93 86 83 77 58 37 27 28 44 67 90 113 127 125 136 153 164 176 174 159 160 162 162 171 166 159 151 148 150 149 147 150 nan nan nan nan nan nan nan nan nan nan nan 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 18 16 14 12 10 7 5 3 1 1 2 3 3 3 3 2 2 2 3 4 5 6 6 6 6 6 6 6 6 6 4 4 4 4 5 5 6 6 6 6 5 5 5 5 6 6 7 7 8 9 9 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 7 7 7 7 7 8 7 7 7 7 7 7 6 5 3 1 0 0 0 0 0 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 3 4 10 23 29 21 12 12 18 23 30 46 58 51 34 22 19 22 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 18 26 36 52 69 81 86 87 89 92 87 80 76 72 67 60 50 39 31 28 14 3 12 23 29 37 46 50 48 45 41 38 40 47 58 74 82 78 69 64 69 81 95 102 105 106 106 104 98 86 72 62 58 62 66 69 65 55 47 41 40 45 53 59 57 51 43 31 19 10 6 3 3 5 7 6 3 1 1 5 18 28 30 36 63 100 107 94 87 89 86 78 83 97 104 102 96 79 51 33 23 12 7 4 1 0 0 0 0 0 0 0 2 2 2 2 1 0 0 0 5 13 37 68 88 100 106 105 109 121 127 119 112 114 120 119 115 109 103 94 72 39 26 31 45 71 102 131 153 146 159 176 184 185 178 170 167 164 162 161 156 144 130 126 134 149 163 166 166 nan nan nan nan nan nan nan nan nan nan 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 17 15 14 12 11 9 6 3 1 1 2 3 2 2 2 2 1 0 1 2 2 4 4 5 6 6 6 6 7 7 6 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 7 9 8 7 7 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 5 5 4 3 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 5 4 12 28 40 39 25 23 35 40 48 54 46 25 12 5 7 9 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 2 6 11 17 26 38 49 56 58 59 60 57 54 50 45 40 32 21 10 2 10 14 5 4 14 27 37 46 49 47 47 46 45 46 48 53 64 77 84 81 74 71 75 85 95 100 100 103 104 96 79 61 50 45 46 50 56 58 50 40 32 30 33 40 46 46 44 40 33 23 15 8 5 5 5 5 2 1 0 1 11 32 47 49 49 61 75 78 76 79 84 84 77 80 93 102 99 88 80 73 52 32 21 16 11 3 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 4 10 25 50 71 86 98 105 113 125 131 124 121 129 131 132 133 131 121 115 96 58 30 25 38 62 92 124 149 158 165 175 183 181 170 163 165 166 160 149 137 125 117 117 128 146 163 167 162 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 17 15 14 12 11 11 10 7 4 2 2 2 2 2 2 2 2 1 0 0 0 0 1 2 3 4 5 6 6 7 8 7 7 6 5 4 4 4 4 5 5 5 4 4 3 2 3 3 4 4 5 6 6 6 6 7 7 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 4 3 3 3 3 2 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 9 10 16 30 39 36 29 35 45 47 50 48 31 13 7 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 13 15 18 22 24 20 20 22 20 14 8 5 2 1 0 0 5 14 8 6 21 36 45 48 48 50 53 55 57 55 54 57 66 76 85 86 84 86 90 98 101 98 100 100 88 67 49 39 32 30 32 36 40 37 31 23 22 24 26 31 36 37 37 31 23 15 7 5 6 5 2 0 0 0 1 16 44 64 69 66 62 58 56 59 68 75 77 73 76 86 93 89 74 58 51 43 32 24 19 12 4 0 0 1 1 0 0 0 0 0 1 1 0 0 1 5 11 16 24 38 50 71 97 114 126 133 129 114 112 120 125 130 132 127 118 114 108 85 51 29 36 56 80 110 136 151 160 170 178 175 165 158 161 161 150 132 117 108 108 112 123 142 157 161 156 nan nan nan nan nan nan nan nan nan nan 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 15 12 10 9 9 10 9 5 4 4 4 3 2 2 2 2 1 0 0 0 0 0 0 0 1 2 4 5 6 7 7 7 7 7 6 4 4 4 4 5 5 4 4 3 2 2 2 2 2 2 3 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 5 4 3 2 2 3 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 12 34 44 32 28 36 42 43 39 30 16 6 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 1 2 1 0 2 4 2 2 4 3 2 0 0 0 0 0 0 0 10 17 12 16 31 42 47 50 54 59 64 67 66 60 56 58 65 77 87 93 100 108 111 109 105 104 102 88 69 52 42 30 20 14 15 18 17 14 9 6 4 10 14 21 28 32 30 24 12 5 5 6 3 1 0 0 0 0 16 45 70 80 72 58 45 39 41 47 52 53 51 55 64 71 70 59 44 35 31 28 23 17 10 4 1 0 0 1 0 0 0 0 2 4 3 1 0 0 6 14 16 16 22 31 56 98 124 136 137 130 117 106 100 103 110 112 109 100 96 100 99 79 50 41 55 74 98 125 144 157 168 173 170 165 161 159 151 135 116 106 104 107 112 122 136 149 154 152 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 nan nan 30 26 18 12 9 7 7 8 8 8 6 6 6 5 4 2 3 3 2 1 0 0 0 0 0 0 0 0 1 3 4 6 7 7 7 8 8 7 5 3 3 3 4 4 4 3 2 2 2 2 1 1 2 2 3 4 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 5 5 5 4 3 3 3 3 4 4 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 8 10 6 10 20 37 44 35 31 36 39 37 25 13 6 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 2 7 12 15 22 31 39 46 55 62 66 68 69 67 63 60 60 66 76 85 98 118 127 122 116 117 117 108 93 77 65 45 25 11 8 11 12 8 4 2 0 1 3 8 17 24 27 24 9 4 6 6 2 0 0 0 0 1 13 38 64 74 66 48 34 26 25 26 26 25 26 29 36 43 44 37 32 26 22 21 18 13 7 3 1 0 0 0 1 6 10 9 15 10 3 0 0 6 13 20 26 16 14 21 42 88 120 131 130 127 125 110 88 79 84 92 89 80 74 82 93 90 73 59 64 80 99 124 145 159 165 165 160 158 155 149 136 116 98 98 105 111 115 122 130 137 143 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 31 30 25 17 10 8 7 8 8 9 9 9 8 8 6 5 4 4 4 3 2 0 0 0 0 0 0 0 0 1 2 4 6 6 7 8 9 8 7 4 2 1 2 3 3 2 2 1 1 1 1 0 0 0 1 2 4 5 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 8 10 18 27 33 39 39 37 37 39 39 31 16 6 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 2 6 10 14 18 24 33 45 55 61 61 58 57 59 60 60 61 64 70 82 111 136 134 125 126 132 134 127 111 89 62 35 21 19 19 17 12 7 1 0 0 0 2 7 14 23 24 15 9 10 6 1 0 0 0 0 3 13 33 53 59 52 38 26 19 15 14 14 12 12 14 18 25 29 27 25 21 17 16 14 10 6 2 1 1 2 3 7 15 35 57 52 34 11 2 0 1 4 18 35 33 21 17 27 62 99 117 119 118 121 114 92 69 65 80 92 86 75 75 85 93 89 78 82 97 109 128 146 157 159 156 148 142 138 131 118 100 87 88 97 105 110 116 120 125 132 140 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 24 28 29 25 18 12 9 8 9 10 11 11 12 12 10 8 6 6 6 5 4 2 0 0 0 0 0 0 0 0 0 2 4 6 6 7 9 10 8 6 4 2 1 2 2 2 2 1 1 1 1 0 0 0 0 0 1 3 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 3 13 34 45 46 43 41 40 40 36 23 11 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 17 18 16 18 25 35 45 49 48 45 44 45 50 52 55 58 61 71 97 124 127 121 122 131 140 141 124 94 63 40 31 32 29 18 11 5 1 0 0 0 0 1 6 19 27 22 16 12 6 1 0 0 0 0 5 18 35 47 48 40 30 21 15 11 9 9 8 7 8 14 20 25 28 26 20 15 12 10 8 4 1 0 2 4 7 12 20 39 70 86 71 35 7 0 0 0 12 32 39 29 17 16 32 66 99 110 113 117 117 103 79 60 69 95 107 94 88 94 100 100 91 99 113 122 131 143 150 152 147 139 131 124 117 106 91 82 82 88 94 100 105 108 112 120 128 133 nan nan nan nan nan nan nan nan 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 22 26 28 27 20 14 10 9 9 10 11 12 13 13 12 9 7 6 6 5 4 2 1 0 0 0 0 0 0 0 0 2 4 6 6 8 9 9 8 6 4 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 3 4 6 6 7 6 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 6 5 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 14 39 50 46 45 43 42 41 29 15 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 3 1 2 7 18 30 34 32 29 29 33 39 44 44 43 44 44 41 38 39 44 50 58 70 90 100 99 102 115 134 140 129 100 71 49 36 39 41 31 14 3 0 0 0 0 0 0 0 1 15 28 25 17 11 4 0 0 0 0 0 6 21 38 46 45 37 28 19 13 10 8 6 6 6 8 12 17 22 27 26 21 14 9 8 8 6 4 3 4 6 10 15 20 32 58 87 88 53 14 0 0 2 14 30 36 28 15 7 13 39 73 89 102 115 125 117 100 81 76 84 96 96 97 105 109 103 96 104 120 131 135 137 141 142 140 134 126 118 110 100 88 80 79 83 88 92 96 99 103 108 113 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 12 14 16 19 23 27 26 21 15 10 9 8 9 11 13 14 13 12 10 8 6 5 4 2 1 0 0 0 0 0 0 0 0 1 2 4 5 6 7 9 9 8 6 4 2 1 1 2 2 1 1 1 1 1 0 0 0 0 0 1 2 4 5 5 3 2 2 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 9 10 9 8 7 6 6 6 5 4 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 5 18 34 41 31 34 34 30 27 20 10 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 3 13 22 21 16 11 10 15 29 44 46 42 41 43 48 53 56 54 50 50 46 36 30 28 33 41 56 74 87 79 73 89 118 145 137 103 65 42 33 29 36 38 24 7 1 0 0 1 1 1 0 0 2 12 23 23 15 7 2 0 0 0 0 0 2 13 34 45 46 40 30 21 15 12 9 6 5 6 8 12 17 21 26 28 25 19 14 12 12 12 12 11 10 10 14 21 25 28 40 63 74 55 23 4 1 5 18 31 35 30 19 14 17 33 49 62 79 100 116 119 112 104 99 92 83 77 79 89 98 96 89 96 116 131 135 133 132 133 132 127 119 111 102 95 86 80 80 83 88 91 93 95 96 98 99 101 nan nan nan nan nan nan nan 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 14 15 14 15 20 24 24 21 15 11 8 8 8 10 12 12 12 12 10 8 6 5 3 2 1 0 0 0 0 0 0 0 0 1 2 4 5 6 7 9 9 7 5 4 3 2 2 2 2 2 2 2 1 1 0 0 0 0 0 1 2 3 2 2 2 2 2 2 3 3 3 4 5 6 6 6 6 6 6 6 5 5 6 6 6 6 7 8 9 10 10 10 10 10 9 6 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 3 4 7 8 17 20 27 25 20 16 12 6 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 8 23 34 36 30 24 21 27 41 50 47 44 44 46 51 61 71 72 68 56 40 26 20 24 30 39 57 78 81 64 64 92 126 138 112 70 40 29 26 22 20 17 9 2 0 0 2 6 8 8 6 4 9 18 26 25 16 4 0 0 0 0 0 0 0 3 17 32 39 38 33 24 20 18 13 9 7 8 10 13 18 25 31 35 35 31 25 22 21 21 23 22 18 16 19 25 32 35 34 41 52 48 31 14 6 7 17 28 33 30 28 29 37 47 45 52 68 88 104 109 106 109 112 106 92 76 67 68 71 72 75 86 106 123 129 128 126 126 124 114 104 96 90 87 83 79 80 85 89 91 92 92 92 92 90 91 nan nan nan nan nan nan nan 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 12 15 13 10 12 17 21 23 22 18 12 8 6 6 8 10 11 11 11 10 8 7 5 4 3 2 1 0 0 0 0 0 0 0 0 1 3 5 6 7 8 8 7 5 4 4 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 1 2 2 2 1 2 2 2 2 2 2 3 4 5 5 5 5 5 6 5 5 6 6 5 4 5 7 8 9 9 10 11 11 11 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 10 2 1 1 4 2 1 0 9 21 31 27 19 14 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 1 1 0 0 0 2 11 27 37 43 43 40 38 44 51 48 40 44 48 43 43 60 78 79 70 54 34 19 17 32 48 55 68 85 77 59 68 100 121 109 73 37 22 23 22 13 7 3 1 0 0 1 8 19 26 28 24 21 26 33 34 31 18 3 0 0 0 0 0 0 0 0 3 12 20 25 24 21 20 18 15 10 10 10 11 12 17 26 36 43 47 46 43 41 38 38 40 37 28 20 19 24 32 35 32 34 42 44 36 24 14 9 13 20 25 24 26 34 46 59 56 54 62 77 91 95 93 99 109 113 105 92 78 67 60 57 65 79 97 110 119 125 122 118 110 98 86 77 74 76 76 74 75 79 83 85 85 84 84 86 84 84 86 nan nan nan nan nan nan 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 9 13 12 8 7 10 13 18 21 21 17 11 7 5 5 6 8 9 10 10 9 7 6 5 4 3 2 1 0 0 0 0 0 0 0 0 1 2 4 6 7 7 7 7 6 5 4 4 4 4 4 4 3 2 2 1 0 0 0 0 0 0 1 2 2 1 1 1 1 1 1 1 1 2 2 2 2 3 3 4 4 5 6 5 3 2 2 3 4 5 6 7 8 7 7 7 7 7 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 3 34 25 15 10 7 2 2 3 7 16 26 33 30 21 12 6 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 3 5 6 6 5 5 5 4 3 4 3 4 11 22 30 36 42 48 52 56 58 44 33 48 62 53 47 64 81 77 65 50 34 23 25 46 73 88 97 100 82 68 83 108 105 74 37 14 9 12 10 4 1 0 0 0 0 5 19 33 42 48 48 45 44 41 34 29 22 10 3 1 0 0 0 0 0 0 0 1 4 8 10 12 13 14 13 12 13 13 13 12 15 23 35 46 55 59 60 61 57 51 48 44 34 22 17 23 31 31 28 30 37 42 40 31 20 12 10 10 12 15 22 31 41 52 57 53 51 62 80 88 87 88 96 104 106 101 89 79 68 62 66 77 90 97 104 108 114 110 98 84 71 62 60 63 66 65 64 66 70 75 77 75 77 80 77 77 81 nan nan nan nan nan 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 7 11 12 9 6 6 7 9 12 16 18 15 10 6 4 4 5 6 8 9 9 8 6 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 2 4 5 6 6 6 6 6 5 5 4 4 5 5 4 4 3 2 2 1 1 1 0 0 1 2 2 1 1 1 1 1 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 5 5 6 6 7 7 7 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 3 1 18 34 36 28 27 21 12 14 12 15 24 32 35 29 20 10 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 2 7 10 10 8 6 4 3 2 2 5 11 19 22 23 27 32 43 53 54 37 31 54 80 79 75 81 83 72 58 45 37 32 32 50 78 104 118 112 90 86 106 111 83 42 14 2 1 2 2 0 0 0 0 0 1 10 28 41 48 58 65 62 53 40 28 26 27 23 13 4 0 0 0 0 0 0 0 0 0 1 3 4 6 8 10 15 20 25 28 28 24 25 37 51 59 65 70 71 65 57 54 48 39 26 18 20 29 31 28 28 32 38 43 40 31 18 10 6 5 8 15 24 34 43 50 51 48 54 74 90 89 84 85 94 100 99 90 82 74 71 73 77 83 88 96 104 107 101 90 76 61 50 46 50 54 55 53 54 58 66 73 76 75 72 68 70 76 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 2 4 7 10 9 6 5 4 5 6 9 13 15 12 8 4 3 4 5 6 8 9 9 6 4 4 4 3 3 2 2 1 1 0 0 0 0 0 0 0 2 4 4 5 5 6 6 6 6 5 4 4 4 4 4 3 2 2 2 2 2 1 1 2 2 2 1 1 1 1 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 5 6 6 6 7 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 3 2 15 16 40 48 43 40 39 34 28 31 22 18 27 35 35 28 19 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 9 6 2 1 1 0 0 1 4 8 14 11 10 13 23 34 35 22 18 43 77 89 89 85 77 63 47 39 40 39 35 41 60 84 102 100 87 88 101 90 52 18 3 0 0 0 0 0 0 0 0 0 1 10 29 41 45 53 62 62 51 36 24 23 25 25 18 8 1 0 0 0 0 0 0 0 0 0 0 1 2 4 8 16 26 41 58 67 66 60 61 68 71 77 82 82 77 72 68 61 52 38 26 21 24 29 31 31 32 36 43 47 42 29 17 10 7 7 10 16 26 38 49 54 57 66 78 90 90 81 74 78 84 86 81 71 70 76 76 79 80 81 88 98 101 95 84 70 55 43 37 39 44 47 46 46 49 59 69 73 69 62 59 62 66 nan nan nan nan nan 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 1 4 6 7 6 5 4 3 4 6 8 10 10 8 5 4 4 6 7 8 9 10 9 6 3 3 3 3 3 3 2 2 2 1 0 0 0 0 0 0 2 3 3 4 4 5 5 5 5 4 4 4 4 4 3 2 2 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 2 2 2 3 4 3 2 2 2 3 4 5 5 6 6 4 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 4 28 38 58 63 56 53 51 49 43 39 34 34 36 36 33 27 18 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 3 0 0 0 0 0 0 0 0 1 0 0 5 15 21 17 6 2 16 45 66 71 66 58 46 33 30 38 43 38 33 39 52 64 69 66 63 60 43 19 4 0 0 0 0 0 0 0 0 0 0 0 6 22 35 37 38 43 44 38 26 19 17 15 13 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 18 38 64 87 101 103 99 92 92 96 99 100 96 90 85 78 70 58 44 33 27 28 32 36 38 39 43 47 47 39 29 22 18 16 13 13 17 27 40 49 56 68 78 84 84 72 61 58 62 66 60 51 55 69 81 85 83 82 85 91 94 90 80 66 51 39 32 31 36 40 40 38 41 51 60 62 57 52 51 52 54 nan nan nan nan nan 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 2 3 4 4 4 3 2 3 4 6 7 7 6 5 5 6 7 8 8 9 10 7 3 2 2 3 4 4 3 3 2 2 1 0 0 0 0 0 0 1 1 2 3 3 4 4 4 4 4 4 4 4 2 1 1 1 1 2 2 2 2 2 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0 0 0 1 2 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 0 0 0 1 9 30 50 54 63 64 63 61 61 61 56 52 43 39 35 28 22 14 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 8 20 31 23 3 0 2 14 32 43 44 39 31 20 19 32 42 40 33 30 34 39 41 38 31 21 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 25 27 27 27 26 22 15 11 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 28 47 69 95 109 112 106 104 108 112 115 114 109 101 93 86 78 67 55 43 33 32 38 44 45 44 45 46 44 39 34 31 28 23 16 12 14 21 27 35 49 61 68 67 57 46 41 45 50 45 38 41 54 71 83 87 88 89 92 92 86 77 64 50 39 33 31 31 33 32 31 33 40 47 48 45 42 41 41 41 40 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 1 2 3 4 3 2 1 2 3 4 4 5 5 5 6 6 7 7 8 8 7 4 3 2 3 4 4 3 3 3 3 3 2 1 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 3 2 1 0 0 1 1 1 1 1 1 1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 1 7 30 52 47 39 59 65 64 66 68 67 66 58 43 33 22 15 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 18 42 42 14 2 0 2 9 20 27 29 23 14 11 21 34 38 34 28 27 25 20 14 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 14 18 19 18 16 12 8 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 15 30 43 54 67 84 99 106 110 116 121 125 126 123 113 103 96 91 86 78 65 47 34 35 43 47 46 42 39 40 40 40 40 34 28 21 15 11 12 15 19 27 39 47 48 43 35 33 38 42 36 29 31 41 56 72 83 90 96 98 92 85 76 64 52 43 38 33 29 28 28 26 25 28 31 33 32 32 31 30 30 30 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 1 2 3 2 1 0 0 1 2 3 4 4 4 5 5 5 5 6 6 6 5 5 5 4 4 3 3 3 4 5 5 3 2 1 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 3 1 0 0 0 0 1 1 1 1 1 1 2 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 1 2 1 1 0 0 0 0 6 27 49 40 32 56 56 57 58 61 67 70 62 40 26 17 10 6 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 2 7 12 27 38 22 6 1 0 1 9 19 23 22 16 11 12 21 30 34 33 29 21 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 12 12 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 18 30 39 46 50 56 68 84 100 117 128 131 130 128 121 110 100 94 90 87 82 65 45 35 36 42 46 42 34 29 31 35 38 36 29 22 14 10 8 9 11 14 21 28 32 32 31 32 36 36 28 21 22 30 43 58 71 82 92 97 90 82 73 62 51 43 37 32 26 25 27 26 21 19 19 19 20 21 20 20 20 20 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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58 65 68 65 63 64 72 83 90 86 80 75 73 74 75 72 68 67 66 61 50 37 29 37 51 54 44 33 32 39 42 40 36 36 36 27 15 14 22 28 26 22 20 18 15 14 13 14 20 28 32 32 32 30 26 22 22 26 25 19 14 10 6 5 5 5 5 5 6 6 6 5 5 5 4 3 3 3 3 4 3 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 4 4 4 4 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 3 7 11 14 16 16 13 10 8 7 5 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 2 4 4 4 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 1 0 1 1 0 0 1 4 8 11 11 9 7 4 2 2 2 3 3 2 2 0 0 0 0 0 2 5 6 7 11 23 28 25 24 24 21 12 6 6 7 7 7 6 6 6 6 6 6 6 5 4 3 1 0 0 0 0 0 0 0 2 8 13 19 24 27 26 18 7 1 9 12 13 10 6 3 5 15 20 13 4 0 0 0 0 0 1 6 7 7 7 5 1 0 0 0 0 0 0 1 2 4 6 5 4 8 15 17 12 12 16 16 13 9 8 9 10 10 11 9 9 11 13 14 14 13 12 12 12 13 16 21 24 22 19 19 19 16 15 13 12 12 11 10 10 15 18 16 12 9 6 4 4 4 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
44 53 58 58 54 51 54 62 71 78 81 81 78 75 73 71 68 66 66 67 62 54 46 48 59 62 52 36 30 35 41 41 39 40 44 39 26 19 25 33 33 26 20 18 18 17 15 16 22 30 31 32 35 32 25 19 18 21 25 24 19 14 10 8 6 5 5 6 6 7 7 6 6 5 5 4 3 3 3 3 4 3 1 1 1 2 2 2 1 1 2 2 2 2 2 2 3 4 4 4 4 4 4 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 1 0 0 0 0 0 0 0 0 3 8 13 15 17 15 12 9 8 6 4 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 2 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 4 3 3 3 3 2 0 1 2 8 9 8 8 7 5 5 7 10 12 12 11 7 5 1 2 1 2 6 9 9 11 17 21 22 23 22 20 15 9 5 6 6 6 6 6 6 6 6 6 6 6 6 6 4 2 0 0 0 0 0 0 0 2 6 9 12 14 18 23 23 18 16 17 18 14 8 3 2 10 21 21 10 1 0 0 0 0 0 2 7 7 6 6 3 1 0 0 0 0 0 0 0 1 1 3 2 2 6 8 7 10 16 17 12 9 8 11 14 16 15 12 9 10 13 15 15 15 14 13 12 12 14 17 20 20 20 22 22 16 12 11 11 11 10 8 8 9 13 16 17 15 11 7 5 4 4 4 4 5 5 5 5 5 6 6 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
32 37 41 40 39 38 37 36 41 52 64 75 82 80 77 74 70 67 66 65 63 60 56 56 63 66 53 35 28 34 44 48 47 47 48 47 38 27 26 33 37 32 24 19 19 21 21 22 26 30 32 37 44 39 30 25 24 27 28 28 25 19 12 9 8 7 6 5 6 7 8 7 7 6 5 4 4 3 3 3 3 3 2 0 1 2 2 2 2 2 2 2 2 2 2 2 3 4 4 5 5 5 5 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 13 15 16 14 11 9 7 6 3 1 1 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 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 6 11 8 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 2 2 2 6 8 8 7 6 5 5 9 13 16 18 16 14 14 11 9 8 9 12 13 12 12 14 15 17 19 20 19 17 14 8 5 6 6 6 6 7 7 6 6 6 6 6 7 6 4 2 0 0 0 0 0 0 0 1 2 3 2 5 12 23 33 35 32 30 26 18 8 1 4 13 19 16 6 0 0 0 0 0 0 3 4 5 6 5 3 1 0 0 0 0 0 0 0 0 0 0 1 2 5 6 6 8 11 10 8 8 10 13 17 16 10 9 10 11 13 15 16 16 15 13 13 14 15 15 15 15 17 17 13 11 10 11 10 8 6 5 5 7 9 12 13 12 10 9 8 7 6 5 5 5 6 7 9 10 10 11 11 10 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
27 29 30 26 26 27 26 23 21 26 36 52 70 79 82 80 77 72 69 66 64 60 58 57 60 62 51 33 28 36 50 55 53 51 51 51 46 35 26 24 32 35 31 23 20 23 28 31 34 35 37 44 53 54 47 40 37 37 34 32 30 24 14 9 9 9 8 6 6 8 11 10 8 7 5 5 4 4 3 3 3 3 2 0 1 2 2 2 2 2 2 2 3 3 3 2 3 3 4 5 6 6 6 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 1 4 9 12 14 15 13 11 9 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 3 4 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 10 14 8 4 3 4 4 4 5 5 5 4 4 4 5 5 5 5 6 6 5 5 4 4 3 2 5 9 10 9 8 6 5 8 12 16 19 17 15 14 15 18 20 21 20 17 14 12 11 11 12 13 12 13 18 21 12 5 6 6 6 6 7 7 7 6 6 6 7 8 7 6 4 3 3 2 0 0 1 2 1 0 0 0 1 8 16 28 42 49 49 44 34 19 4 1 6 16 19 10 0 0 0 0 0 0 0 1 2 4 5 4 2 2 2 1 1 0 0 0 0 0 0 0 1 5 6 7 7 7 8 9 9 9 10 10 12 10 9 9 10 12 14 16 18 17 15 14 13 12 12 12 12 12 12 12 11 11 11 11 9 7 5 5 6 7 8 10 10 10 10 10 11 10 8 7 8 10 13 15 18 19 20 19 19 17 17 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
28 30 31 28 23 21 21 20 16 14 18 28 46 66 79 87 88 85 81 76 71 65 60 57 57 56 49 37 34 45 58 60 59 56 54 52 50 42 30 22 23 30 34 30 23 23 27 34 41 42 34 28 37 53 57 48 39 40 37 35 33 27 15 9 9 9 9 8 9 13 16 15 12 9 7 4 4 4 3 3 3 3 3 2 1 1 1 1 2 2 2 2 2 3 3 2 2 3 4 5 6 6 6 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 13 13 11 10 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 5 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 5 11 10 5 3 4 4 4 5 5 5 5 5 5 6 6 5 6 6 6 6 5 5 4 3 2 4 7 11 13 12 10 9 9 11 13 15 18 17 15 14 20 25 25 23 19 14 10 8 8 9 10 11 15 22 22 13 6 6 7 7 7 7 7 7 7 6 6 7 8 7 7 6 6 6 6 5 5 8 13 10 6 2 0 0 6 13 23 38 53 60 60 52 34 12 1 1 11 17 8 1 0 0 0 0 0 0 0 0 1 3 3 3 4 5 5 3 2 1 0 0 0 0 0 2 4 6 7 7 8 8 9 9 10 9 9 9 9 9 9 10 11 13 16 20 20 19 17 16 13 12 11 12 12 11 11 11 11 12 12 10 9 7 6 7 8 9 9 10 10 10 10 11 11 11 11 11 12 15 19 23 25 26 25 24 24 23 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
30 31 33 33 28 23 21 19 17 14 14 20 33 52 71 87 96 97 94 91 86 79 72 64 59 56 51 45 47 57 69 73 68 63 58 54 48 46 40 29 22 25 32 34 30 25 23 30 44 42 25 15 22 44 56 43 31 37 41 39 35 29 15 7 8 9 10 11 13 15 18 18 16 13 9 6 4 4 4 3 3 3 3 4 3 1 0 0 1 2 3 3 3 3 2 2 2 3 4 4 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 11 10 8 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 9 9 6 4 3 4 4 4 4 4 4 4 5 4 4 4 5 5 4 4 4 4 4 4 3 3 2 3 5 8 6 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 3 2 3 8 14 16 15 13 13 11 9 8 12 17 18 16 17 19 19 17 15 12 10 8 7 9 11 14 16 16 13 8 6 6 7 6 7 7 7 7 7 6 6 7 7 6 5 5 6 7 7 10 21 26 26 21 12 3 0 0 2 6 15 27 42 57 70 71 52 24 4 0 5 8 5 2 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 7 6 5 3 2 1 0 1 2 3 6 7 8 8 8 8 9 10 9 9 9 9 9 9 10 12 14 17 21 22 21 21 20 18 16 14 12 11 11 11 11 12 13 13 12 11 8 7 8 9 10 10 10 10 10 10 10 10 11 11 11 12 15 20 24 25 25 25 25 25 26 26 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
28 30 33 34 32 28 23 21 19 18 16 22 34 47 63 76 82 82 87 94 99 96 88 75 62 55 52 52 56 61 65 67 66 64 61 60 54 52 48 39 28 23 28 33 33 30 27 32 46 41 19 11 17 46 59 40 24 29 40 42 37 32 21 8 6 8 9 11 14 16 17 18 17 16 13 8 6 5 4 4 3 3 3 4 4 3 2 2 3 4 5 5 5 5 3 3 3 3 3 3 4 5 5 5 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 10 7 6 5 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 12 10 7 4 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 5 4 3 2 4 8 15 18 18 17 12 4 2 3 8 13 16 16 14 13 12 11 11 10 9 10 12 12 7 3 2 4 5 5 5 5 5 6 6 6 6 7 6 6 5 4 3 2 2 4 6 7 12 22 26 22 15 6 1 0 0 0 1 3 9 22 43 67 85 73 39 11 1 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 9 9 9 8 7 6 3 1 2 3 4 6 7 9 9 9 8 8 9 9 9 10 10 10 9 10 12 15 18 21 21 22 22 22 21 20 18 15 13 12 11 11 11 12 13 12 12 9 8 9 10 10 9 9 10 10 10 11 11 12 13 13 14 16 20 22 23 24 24 25 26 27 27 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
24 26 27 29 30 28 24 20 19 19 20 27 36 46 60 64 57 55 62 76 92 102 100 86 69 56 50 53 58 59 58 59 60 58 56 60 62 62 58 48 36 26 24 27 32 36 39 42 45 36 16 10 15 50 62 44 26 26 35 40 38 34 27 15 6 7 9 10 13 16 17 17 17 17 16 12 9 6 5 5 4 4 3 4 4 4 3 4 4 5 6 7 8 8 8 6 5 4 4 3 3 4 5 5 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 6 3 2 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 15 15 12 7 4 3 4 4 5 5 4 4 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 5 4 4 3 4 8 13 18 18 13 2 0 0 1 3 6 10 12 13 12 11 11 11 12 14 15 9 2 3 4 5 4 4 4 4 4 4 5 5 6 6 6 5 3 1 0 0 0 2 4 5 9 12 11 8 5 2 0 0 0 0 0 0 0 5 24 52 84 85 57 23 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 9 9 9 9 9 8 6 4 4 6 7 8 10 10 10 9 9 9 10 10 11 11 10 9 10 12 14 16 18 18 19 19 20 21 22 21 20 18 16 14 12 12 12 13 13 12 10 10 10 10 10 8 8 9 10 10 11 12 14 15 16 16 17 19 20 21 23 24 24 25 26 26 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
17 17 17 18 22 26 24 20 19 20 22 28 35 44 58 60 44 32 34 49 72 93 98 90 78 66 52 49 56 56 54 55 56 55 54 59 68 74 70 58 45 31 23 23 27 36 43 40 35 25 12 8 19 52 55 49 32 27 30 35 36 36 34 25 11 7 9 10 11 15 16 17 18 17 17 15 12 9 7 6 6 5 4 4 4 4 4 4 4 5 6 7 8 9 9 9 8 8 8 6 3 4 5 5 5 5 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 0 0 2 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 16 19 18 16 12 7 4 2 3 4 4 4 5 5 5 6 6 6 5 4 4 4 4 5 5 5 5 6 7 10 7 5 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 6 7 10 9 4 2 2 1 0 0 1 5 9 12 13 13 14 16 18 14 6 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 2 0 0 0 0 0 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 1 14 36 69 86 72 42 16 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 7 8 8 8 8 7 7 8 8 9 11 11 11 10 10 10 10 11 11 10 10 9 10 12 13 15 16 16 16 17 17 19 20 22 22 22 22 19 16 16 15 15 14 13 11 11 11 11 10 9 8 9 10 11 12 14 16 17 17 18 18 20 20 22 23 24 24 24 24 25 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
9 8 8 10 17 28 28 23 21 22 24 28 36 46 58 61 48 31 22 28 49 76 86 86 81 72 60 55 57 58 56 54 53 52 53 56 64 72 73 65 57 42 29 23 22 31 41 39 30 19 10 10 28 54 57 48 36 28 28 31 33 35 38 32 19 11 10 12 11 13 16 17 18 18 18 16 14 11 10 8 6 5 5 5 4 4 4 4 4 4 6 7 8 9 9 9 10 11 11 10 6 4 5 5 5 5 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 15 16 16 14 9 5 2 0 1 2 2 3 3 3 4 5 6 6 4 3 3 4 4 5 5 6 6 9 12 12 8 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 3 2 2 2 3 4 4 4 5 4 3 2 2 2 3 6 8 10 12 14 14 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 26 51 77 82 62 32 12 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 7 6 6 5 5 6 7 9 9 10 11 12 12 11 10 10 10 11 11 10 10 10 10 11 12 14 15 16 16 18 19 20 21 22 22 22 22 21 21 21 20 18 16 15 14 13 12 12 11 10 10 10 11 12 14 17 19 19 19 19 21 21 22 23 23 23 22 22 23 23 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
4 2 0 4 14 29 33 28 26 29 32 36 43 51 59 64 58 45 32 26 33 54 69 73 75 73 69 66 65 64 62 58 51 48 48 50 52 59 65 70 72 60 41 28 23 25 31 33 29 25 20 25 46 63 61 46 32 28 30 31 32 33 34 32 26 18 14 14 12 12 15 16 18 18 18 18 15 12 10 9 6 5 5 5 5 5 4 4 4 5 5 7 8 8 8 9 10 11 11 9 6 4 4 4 5 5 5 5 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 8 6 3 1 0 0 0 0 0 2 1 0 1 2 2 3 3 2 2 3 4 4 4 5 6 7 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 5 5 5 5 6 5 4 4 4 4 4 4 3 3 3 3 2 2 4 4 5 5 5 5 5 5 4 4 5 5 7 7 8 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 13 20 36 63 84 77 47 21 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 7 6 5 4 4 3 4 6 8 10 12 13 13 12 11 10 10 11 11 12 11 11 10 11 11 12 14 14 15 18 23 23 22 22 22 22 21 22 23 23 23 22 20 19 16 15 15 15 14 13 12 12 12 12 14 16 20 21 20 21 22 22 23 24 23 22 22 22 22 21 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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7 4 1 1 12 34 52 54 52 53 56 57 56 57 60 65 66 60 55 54 56 58 59 54 54 62 68 70 73 77 80 76 66 53 42 38 38 35 34 50 82 92 75 48 30 21 16 14 14 20 38 54 60 67 56 36 23 22 28 36 38 37 34 30 26 25 23 19 16 12 12 13 15 17 18 18 18 16 15 13 10 8 5 5 5 4 4 5 4 4 4 6 6 7 7 8 9 10 11 9 5 3 3 4 4 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 1 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 2 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 4 3 3 4 5 5 6 16 26 24 14 7 5 6 10 16 18 19 18 15 13 10 7 5 4 4 5 6 7 7 7 7 8 8 9 9 8 8 5 4 4 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 15 23 36 59 80 72 43 25 20 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 9 8 7 6 5 4 4 3 3 5 6 8 10 10 11 12 13 13 13 13 14 14 14 15 16 15 13 13 14 15 16 16 17 17 17 17 18 24 28 30 30 29 29 27 25 24 24 23 19 15 15 15 15 15 14 13 16 19 20 21 22 23 24 24 25 25 24 23 22 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
22 13 5 2 12 39 62 65 59 57 57 58 58 60 62 64 64 58 53 54 61 66 63 58 56 61 66 68 67 66 74 77 72 59 46 38 35 31 26 30 54 84 87 62 36 22 17 15 13 17 29 43 48 57 57 41 25 21 26 34 39 39 37 33 28 26 28 24 20 14 11 11 13 15 17 18 19 18 17 16 14 10 7 4 4 4 4 4 4 4 4 5 6 6 7 8 9 10 10 10 4 3 3 4 4 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 1 2 3 4 4 2 1 0 1 1 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 1 1 2 1 2 2 2 2 2 3 4 5 6 6 6 6 6 5 5 5 4 3 2 4 5 5 6 6 12 20 22 16 8 5 7 15 25 29 29 27 28 27 23 17 11 7 6 6 6 6 7 8 8 9 9 9 9 8 6 5 4 5 5 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 17 25 45 78 81 51 30 24 18 11 3 0 0 0 0 0 0 0 0 0 0 0 1 6 8 10 11 10 8 8 7 6 6 4 3 4 5 5 6 7 8 10 11 12 13 13 14 15 15 17 20 19 17 16 16 16 16 16 16 16 17 20 24 30 33 34 32 30 29 28 26 26 26 23 17 14 15 15 16 17 16 15 17 20 21 21 22 22 24 24 26 26 24 22 21 21 21 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
44 28 14 10 19 44 70 69 58 51 51 53 56 59 62 63 61 58 52 49 53 58 60 61 65 69 69 67 65 62 64 72 74 68 56 46 41 34 23 16 23 50 74 68 43 23 16 15 15 15 20 28 38 48 55 50 34 22 23 30 37 39 39 37 32 27 28 28 24 19 12 10 11 13 15 17 18 18 18 17 16 14 10 6 4 4 4 5 6 5 4 5 6 6 7 7 8 9 9 9 3 2 3 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 6 6 4 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 6 6 6 6 5 5 5 5 5 4 4 5 6 6 6 6 5 4 6 6 5 3 3 4 10 18 22 22 21 23 26 28 25 21 15 10 7 7 6 7 8 8 8 8 7 7 6 5 4 5 5 5 5 5 5 5 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 13 17 35 68 77 54 34 25 19 13 6 1 0 0 0 0 0 0 0 0 0 0 2 7 10 11 12 11 10 9 8 8 7 7 5 5 4 4 4 5 6 7 8 9 10 11 13 15 15 16 19 20 20 19 18 18 19 18 16 16 19 26 32 35 38 38 34 32 29 25 24 24 24 20 15 14 14 15 15 17 17 17 19 22 23 22 22 23 24 25 26 28 26 23 22 21 20 20 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
63 50 30 20 27 47 66 67 55 43 41 45 51 57 61 63 67 69 63 53 47 48 50 55 64 72 71 66 66 68 71 74 78 78 71 64 58 47 29 15 10 22 45 58 51 37 18 13 15 15 16 19 25 35 47 51 43 29 22 26 33 35 35 35 30 26 25 27 25 19 14 11 11 12 14 15 17 18 19 18 17 16 14 10 6 5 5 6 7 5 4 5 6 6 7 7 7 8 8 8 3 2 3 4 4 5 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 7 8 7 6 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 5 4 4 4 5 6 8 8 8 10 9 7 5 4 2 1 1 1 0 0 1 4 8 10 9 8 9 11 16 20 21 20 18 14 10 7 6 7 7 7 6 6 5 5 4 4 5 5 5 6 6 8 7 7 7 6 5 1 0 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 15 16 30 60 73 57 36 24 18 13 6 1 0 0 0 0 0 0 0 0 0 0 2 8 12 12 12 12 12 10 9 8 8 8 8 7 6 5 4 4 5 5 6 7 8 9 10 13 14 15 16 18 19 20 19 20 24 22 19 16 20 28 36 42 46 44 38 32 26 22 19 19 18 16 13 14 15 15 15 15 16 17 19 22 24 23 22 23 25 25 27 28 28 26 24 24 23 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
66 63 46 33 36 50 63 65 55 42 36 38 46 54 60 67 79 85 78 62 49 44 44 48 54 63 64 57 56 63 72 74 76 78 79 78 76 63 44 25 12 11 23 39 49 50 39 23 14 17 18 20 22 27 37 46 48 38 26 24 26 26 26 26 26 22 20 24 24 18 14 12 11 12 13 15 16 17 18 19 18 16 14 12 10 8 8 7 7 5 4 4 6 7 7 6 6 7 8 8 4 3 2 3 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 8 10 9 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 4 4 5 6 6 8 9 12 16 18 17 12 7 5 4 4 4 5 4 3 2 2 5 9 11 11 9 9 8 10 14 18 20 20 19 15 10 7 7 7 6 6 5 5 5 4 5 5 6 8 9 10 10 9 8 9 8 7 4 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 14 18 17 27 57 73 59 37 24 16 12 7 0 0 0 0 0 0 0 0 0 0 0 4 10 14 14 12 12 12 11 9 8 8 8 8 9 9 8 6 6 5 5 5 6 6 7 8 10 12 13 14 15 17 18 18 21 26 26 22 19 20 28 39 47 50 47 40 34 28 23 16 14 13 12 13 15 16 16 16 15 16 18 20 21 23 22 22 24 26 27 28 29 30 29 28 27 26 25 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
58 67 57 44 46 54 64 66 60 49 39 36 42 51 60 67 77 83 79 67 52 46 45 46 49 53 55 49 43 45 54 65 69 71 76 86 87 76 60 42 21 12 12 18 30 45 50 42 28 20 22 25 27 28 32 38 47 44 30 22 21 19 19 21 22 21 19 21 26 20 13 10 10 10 12 14 15 16 17 18 17 16 14 13 11 10 10 9 7 6 5 4 6 6 6 6 6 6 7 8 7 4 3 3 3 4 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 8 10 11 10 8 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 2 2 4 6 8 9 10 11 14 17 17 13 10 8 9 10 11 11 14 15 13 10 10 13 16 19 18 18 20 21 22 25 30 32 29 23 18 12 8 8 7 7 6 5 6 7 6 6 7 9 12 15 14 11 10 9 8 6 5 5 4 5 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 15 21 22 33 59 70 57 38 25 16 10 6 0 0 1 1 0 0 0 0 0 0 0 3 11 16 16 13 12 13 13 11 10 8 8 8 8 9 10 9 8 7 6 5 5 5 6 7 8 9 11 12 14 15 16 17 20 25 26 24 21 20 25 36 45 48 44 38 31 27 22 17 14 12 12 12 14 16 17 18 18 18 20 20 20 21 21 21 24 27 29 30 31 31 30 29 29 28 27 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
58 69 65 57 55 59 64 67 67 60 50 41 44 51 56 57 57 63 69 66 57 50 47 46 46 48 50 50 46 43 47 56 62 61 64 75 84 81 70 56 37 20 13 9 8 14 33 46 44 31 25 27 30 32 32 34 38 40 29 22 21 19 19 20 20 21 20 19 23 23 14 9 8 8 10 12 14 14 14 15 15 15 14 13 12 10 10 10 9 8 6 4 5 6 6 6 6 6 7 8 8 7 5 4 3 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 7 8 10 10 8 6 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 1 1 2 2 2 1 0 0 0 0 1 0 1 0 0 0 0 1 2 3 4 4 4 3 3 2 0 2 5 7 8 9 9 10 11 12 11 10 10 12 16 19 19 18 19 22 22 22 21 22 22 21 21 24 30 35 41 46 50 49 45 37 25 16 10 8 8 9 10 13 16 18 21 22 20 17 16 15 12 10 9 8 6 4 4 4 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 24 31 45 64 71 57 39 28 19 13 7 5 7 6 4 2 3 2 1 0 0 0 3 11 18 18 14 12 14 16 14 12 10 9 8 8 8 9 10 10 9 8 6 5 5 5 5 6 8 9 11 12 13 14 15 17 21 22 22 20 19 22 27 35 38 35 29 24 20 17 14 14 13 13 13 14 15 16 18 19 21 21 21 21 20 21 22 24 28 30 31 31 31 30 28 27 25 24 23 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
68 75 73 67 64 62 62 64 70 74 70 61 58 58 56 50 47 51 60 65 62 54 48 45 45 44 45 46 49 52 52 54 58 57 54 59 70 76 74 66 52 33 20 13 7 2 5 30 49 48 36 28 30 34 36 35 29 29 25 23 22 21 21 22 21 21 21 20 19 24 19 10 9 10 10 11 12 12 12 12 13 13 14 13 11 10 10 10 10 10 7 4 4 6 6 6 6 6 7 7 7 7 7 6 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 7 7 8 9 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 2 0 0 0 0 0 1 2 2 2 1 2 3 5 6 6 4 3 2 1 1 2 5 8 7 6 9 10 9 8 9 12 15 17 18 20 20 19 18 19 21 21 23 24 24 23 22 23 28 37 45 50 52 55 56 54 49 38 25 17 12 12 14 16 20 25 33 38 39 33 24 17 12 10 9 8 6 4 3 2 2 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 1 9 25 43 61 79 78 58 41 33 26 20 15 12 11 10 8 7 6 6 5 0 0 0 0 10 18 19 15 12 12 15 16 15 13 11 10 9 9 8 9 9 9 8 8 7 6 6 5 5 6 7 9 10 10 11 12 13 14 15 16 16 16 19 22 24 27 25 21 18 15 13 12 12 12 13 14 15 15 16 18 20 21 22 22 22 21 22 23 24 26 27 28 28 27 27 26 24 20 16 16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
77 80 77 73 69 65 61 64 75 87 94 90 81 73 65 56 52 53 60 64 64 59 52 48 45 42 39 39 40 44 49 53 57 59 59 58 61 66 70 71 66 48 28 19 13 8 2 12 39 56 54 40 32 33 37 38 30 23 22 23 24 24 23 23 22 22 22 21 19 22 24 16 14 16 14 10 10 11 11 12 12 12 13 13 12 10 10 9 10 10 7 4 4 5 6 6 6 6 7 7 7 7 8 6 5 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 6 6 6 7 8 7 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 1 2 3 3 3 3 3 3 3 2 1 0 0 0 0 0 1 2 3 3 4 4 6 8 8 6 4 2 1 2 4 7 8 6 5 9 13 11 8 7 10 15 18 18 18 17 16 16 17 18 18 19 20 22 23 24 26 32 41 49 54 57 58 58 58 57 51 42 32 25 22 21 22 24 31 37 39 36 31 23 16 13 12 11 10 7 4 2 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 21 48 79 95 87 64 46 39 35 30 26 22 18 14 11 8 7 8 8 4 1 0 0 6 15 20 18 14 12 12 14 16 16 15 13 11 10 9 9 9 9 8 8 9 8 8 6 6 6 6 8 8 9 9 10 10 10 11 11 12 12 15 18 19 20 19 17 15 13 11 11 11 11 12 13 15 15 17 19 21 22 23 23 23 24 24 24 24 24 24 24 23 23 22 21 18 14 12 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
75 77 76 74 72 67 65 68 78 91 100 102 95 84 74 65 60 60 62 64 65 63 59 55 51 47 43 38 36 37 43 52 59 63 64 63 62 61 61 64 66 56 38 24 18 13 9 10 27 54 65 59 41 33 35 39 36 28 27 29 28 25 24 23 22 23 22 21 20 21 26 25 21 20 18 11 9 10 11 11 11 12 12 12 12 12 10 9 10 10 6 4 4 4 5 6 6 6 6 6 7 7 8 6 4 2 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 6 6 5 5 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 1 2 3 3 4 4 4 4 4 3 1 0 0 0 0 0 0 0 1 2 4 4 4 5 8 10 9 7 4 3 4 6 8 8 5 5 10 16 14 10 7 7 9 10 12 12 12 12 12 13 14 15 15 17 19 21 23 26 31 36 40 44 50 52 54 55 56 56 53 49 44 38 32 28 28 31 32 29 24 21 19 17 17 17 17 15 13 10 7 4 3 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 37 74 99 99 77 58 49 45 42 38 33 26 20 13 10 8 7 7 7 4 1 0 2 10 18 21 18 14 12 12 14 18 19 17 15 14 12 11 11 10 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 10 10 11 12 13 15 16 16 14 12 11 11 10 10 10 11 12 14 16 18 20 22 23 24 25 26 27 28 27 26 25 23 21 20 19 19 15 13 11 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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106 108 114 117 118 119 114 104 89 73 59 51 50 51 54 59 65 69 70 68 68 68 72 93 110 88 72 74 86 94 92 87 82 78 73 67 60 55 60 72 80 83 85 86 83 75 72 78 85 85 80 76 78 81 68 59 54 46 36 29 23 18 13 10 6 7 14 25 27 22 20 26 30 29 26 22 16 11 8 8 8 9 12 15 16 14 12 10 9 8 8 8 9 8 8 12 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 12 24 39 54 65 77 97 123 149 162 165 156 135 115 91 71 59 55 53 52 50 47 42 31 20 13 9 6 5 4 3 1 0 0 1 2 7 16 32 54 69 69 60 51 44 41 40 43 45 46 46 48 51 53 52 48 45 42 41 39 35 28 23 21 24 30 32 26 17 12 10 9 9 12 18 19 17 16 15 15 14 13 12 12 12 13 13 13 11 11 13 14 14 14 14 14 13 13 14 nan nan nan nan nan nan nan nan nan nan nan
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126 130 132 130 128 128 128 126 118 108 96 78 64 55 47 48 56 65 72 79 71 81 102 115 112 98 90 86 85 87 88 88 88 89 90 85 74 48 39 53 73 86 91 93 98 100 92 82 78 81 88 90 88 83 76 67 68 63 42 22 15 16 18 18 17 16 21 28 22 13 13 18 23 26 26 25 20 13 12 18 19 17 16 17 17 16 13 11 11 10 9 9 11 15 18 14 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 19 24 33 56 80 106 120 123 118 109 100 92 84 78 72 66 60 53 44 32 20 11 7 7 6 4 2 2 2 1 1 2 6 14 26 44 61 66 63 57 50 45 42 41 43 46 47 46 46 49 50 51 50 48 46 44 39 29 24 26 30 34 34 30 23 17 10 8 10 11 12 16 18 19 18 15 11 11 11 12 13 15 17 15 13 14 14 14 14 13 14 14 14 14 15 nan nan nan nan nan nan nan nan nan nan
134 135 138 136 133 132 130 124 111 95 91 87 70 61 50 47 53 61 69 76 68 81 104 104 93 89 86 83 80 81 81 81 86 91 94 92 82 57 40 55 76 89 93 95 98 100 96 89 81 79 90 96 89 77 69 67 68 65 47 24 16 18 21 24 24 22 22 23 21 17 19 24 27 28 28 29 26 22 23 30 26 18 16 17 17 16 14 12 12 11 9 9 11 15 14 9 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 21 43 62 77 91 104 111 108 101 100 97 97 92 86 80 68 53 39 24 14 11 9 7 4 2 2 2 2 2 2 8 18 36 53 62 65 61 56 50 45 42 42 43 45 46 45 46 47 48 49 51 52 53 50 42 37 35 35 36 36 36 32 27 15 9 9 10 10 12 16 19 20 16 12 10 11 11 12 13 15 15 13 14 14 14 14 14 14 15 14 14 15 nan nan nan nan nan nan nan nan nan nan
130 134 137 136 132 127 118 105 78 60 72 88 74 68 54 49 54 60 65 67 68 81 105 105 100 93 87 82 81 81 77 77 85 91 97 96 88 67 51 62 81 89 95 97 98 98 99 97 91 88 98 106 92 73 68 70 70 64 50 32 20 20 22 26 28 25 21 19 19 19 22 26 27 26 28 30 30 30 31 33 25 15 16 17 17 16 15 14 13 11 10 9 11 13 9 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 26 42 58 73 89 102 104 102 103 104 107 108 109 111 111 101 78 54 32 22 16 12 9 6 4 4 4 3 1 3 11 28 45 60 67 65 61 55 50 46 43 43 44 44 44 45 45 45 46 48 52 55 56 54 52 51 47 41 38 38 38 35 25 16 11 9 9 10 13 18 21 16 12 11 10 10 11 11 13 14 14 14 14 14 14 14 15 15 15 15 15 nan nan nan nan nan nan nan nan nan nan
123 128 130 130 127 122 108 90 56 36 63 87 81 72 63 53 57 62 64 67 77 96 112 106 94 87 84 82 83 82 78 80 88 94 97 98 92 72 56 63 79 86 93 100 101 104 108 103 96 96 103 103 92 72 71 75 72 64 53 40 29 23 23 26 30 30 25 20 16 16 19 24 26 26 27 30 30 30 31 27 18 15 16 17 18 17 15 13 12 12 11 11 12 11 6 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 28 48 71 89 102 107 104 104 101 101 104 111 119 125 130 122 99 71 49 34 24 17 12 9 7 7 6 3 2 6 17 34 53 68 70 68 62 56 51 47 45 45 44 43 43 45 45 45 46 48 51 53 55 57 60 57 47 40 39 40 38 34 25 16 10 9 9 9 13 16 15 12 11 11 11 10 10 11 13 13 14 14 14 14 15 15 16 16 15 14 nan nan nan nan nan nan nan nan nan nan
120 124 125 126 126 123 111 96 74 59 82 93 89 83 80 70 66 70 73 81 99 119 127 111 86 74 76 77 78 81 83 87 93 97 96 95 93 74 54 57 74 86 94 103 108 114 118 110 100 98 100 97 89 76 71 74 68 59 52 46 38 28 22 26 34 36 31 24 18 15 16 21 26 28 29 30 30 29 28 22 15 16 17 18 18 16 14 12 12 12 12 12 11 6 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 23 44 76 99 115 119 112 103 96 97 105 115 124 131 136 130 112 90 69 49 32 23 18 14 12 10 8 6 4 8 19 36 57 68 72 68 63 57 52 48 46 46 44 43 44 46 47 44 45 47 48 49 51 56 57 50 44 41 40 40 38 32 23 16 11 9 10 10 12 12 13 14 14 12 11 10 10 11 12 13 14 14 14 15 15 15 15 15 15 15 nan nan nan nan nan nan nan nan nan
116 119 121 122 127 127 121 113 105 99 102 104 100 99 101 95 86 84 88 96 112 132 143 128 97 75 72 74 77 84 88 90 93 94 91 88 88 79 56 54 74 92 104 111 116 119 123 123 116 112 110 106 98 87 76 70 65 54 48 46 40 31 26 30 36 38 33 25 17 15 14 16 20 25 28 30 31 31 26 19 16 17 19 19 18 15 12 12 13 13 13 11 7 4 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 28 62 90 108 108 98 89 86 88 98 108 120 130 136 134 124 109 92 72 53 41 33 26 18 12 10 8 7 10 21 39 56 67 71 69 64 57 51 47 46 45 44 44 46 48 49 49 47 46 44 44 48 51 48 44 42 41 41 40 38 31 26 18 12 10 10 11 12 14 16 16 14 12 12 11 11 12 13 14 14 14 14 14 15 15 16 16 16 nan nan nan nan nan nan nan nan nan
107 106 106 107 114 120 121 119 118 117 115 116 117 115 121 120 110 104 106 108 115 129 146 141 112 86 74 74 78 86 92 90 86 83 81 81 84 82 70 62 80 103 119 124 122 120 122 127 128 129 130 123 113 100 86 74 65 56 48 43 38 32 31 33 37 36 32 25 18 15 13 12 15 21 27 30 33 34 29 20 18 19 20 18 16 13 11 12 13 13 11 7 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 39 62 75 78 82 84 86 85 85 89 100 115 127 131 129 127 124 109 88 72 58 42 28 19 14 10 8 12 24 40 55 67 72 70 64 56 50 46 44 43 43 44 46 49 50 48 44 41 41 42 42 43 42 41 41 41 41 40 37 33 26 18 12 10 10 11 12 14 15 14 14 13 12 11 12 13 13 14 14 14 14 15 15 15 16 16 nan nan nan nan nan nan nan nan nan
100 93 86 82 82 92 100 105 110 114 116 122 130 136 144 144 133 124 123 123 121 123 134 150 138 111 84 72 74 80 86 86 78 71 69 72 77 79 78 78 90 113 129 134 128 122 120 121 124 126 126 118 110 98 85 75 66 58 49 43 38 29 27 32 36 35 32 26 19 14 10 9 12 20 27 31 34 36 35 30 28 24 20 16 13 11 11 12 13 10 6 4 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 12 26 44 68 85 102 102 86 68 68 83 100 111 116 124 130 131 127 117 101 83 62 41 25 15 9 8 14 26 40 55 67 72 70 62 54 47 43 41 40 40 41 42 44 44 42 40 39 40 41 41 41 40 40 40 40 40 39 37 32 25 18 13 9 9 10 13 15 15 15 14 13 11 12 13 13 13 14 14 14 14 15 15 16 17 nan nan nan nan nan nan nan nan nan
93 86 79 72 66 67 72 80 89 96 105 117 130 142 151 155 151 144 141 139 131 123 124 134 141 132 103 72 63 66 72 75 70 60 55 56 61 66 74 86 98 112 124 132 130 123 118 116 111 103 94 91 91 81 72 71 65 55 46 42 37 26 20 27 34 36 33 27 19 12 7 7 10 20 29 33 35 37 37 35 34 25 18 13 11 10 11 11 9 5 3 2 1 2 3 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 8 35 61 89 105 103 89 79 80 93 102 104 103 107 120 134 139 134 123 105 79 55 34 20 11 10 15 26 40 53 65 72 68 62 52 44 40 38 36 36 37 39 40 40 39 39 39 40 40 40 40 39 39 39 39 39 38 36 31 25 19 13 10 10 12 14 16 16 15 15 14 12 13 12 12 13 14 14 14 14 15 16 17 17 nan nan nan nan nan nan nan nan
79 81 77 72 66 62 62 66 75 86 97 110 123 132 139 145 148 148 149 147 139 128 122 124 131 134 120 77 52 52 55 60 60 51 42 41 45 52 63 77 89 98 108 121 129 119 108 103 92 73 62 69 78 74 71 74 64 51 42 38 34 25 19 25 33 35 33 27 19 11 6 7 10 19 31 36 38 37 37 36 32 20 15 11 10 11 11 9 5 3 3 2 0 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 26 55 87 107 110 105 104 112 119 118 108 103 111 126 137 137 132 124 111 93 72 51 32 17 11 14 25 38 50 62 67 66 59 52 46 40 35 34 34 35 37 38 40 40 39 40 40 40 39 38 38 38 39 40 40 38 37 34 27 20 14 12 13 14 16 16 16 19 19 17 15 13 12 12 12 13 15 15 14 15 16 16 nan nan nan nan nan nan nan nan
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