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 3 3 5 6 5 5 4 4 4 3 4 4 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 3 4 4 5 5 4 4 3 3 3 2 2 2 1 2 2 2 2 3 3 3 3 4 4 3 3 3 3 4 3 4 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 5 4 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 6 6 7 7 7 7 7 5 5 4 5 6 6 6 5 5 5 5 6 8 9 10 10 7 5 5 5 5 5 5 4 1 -5 -7 -1 4 1 5 8 8 -4 7 12 2 -0 6 4 4 11 11 5 7 10 11 13 12 3 2 7 11 7 7 9 10 7 2 2 6 7 10 17 15 5 1 8 10 7 7 5 -0 1 3 -0 -2 -2 0 6 10 10 3 -1 5 8 6 3 1 3 4 3 4 8 12 15 14 9 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 6 6 9 13 12 6 6 7 7 6 5 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 3 -2 -5 1 3 4 5 5 4 3 3 3 3 3 4 4 4 3 4 5 5 3 2 2 2 2 3 4 5 6 7 6 6 5 5 4 5 5 6 6 8 9 9 9 8 7 7 6 7 7 6 5 4 4 5 5 6 7 8 8 9 10 9 8 7 8 8 8 8 8 8 8 8 8 9 8 9 11 14 12 10 10 11 12 7 3 0 -4 -7 -3 2 2 7 9 5 3 4 8 7 0 -6 -7 -6 -4 -1 4 8 11 11 11 12 15 20 25 23 21 20 16 12 11 11 10 8 8 9 12 14 12 10 7 7 10 11 9 9 10 9 9 12 13 11 7 7 9 7 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 3 3 5 6 6 6 5 5 4 4 4 3 4 4 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 4 4 5 5 5 4 5 4 4 3 3 2 2 2 2 2 2 2 2 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 3 3 4 5 4 5 5 6 6 6 6 7 7 7 7 7 5 5 5 5 6 6 6 5 4 5 5 6 7 9 10 10 8 6 5 5 5 5 4 3 -0 -8 -9 -0 1 1 8 16 9 -7 3 5 4 4 8 7 6 11 13 11 12 16 22 24 13 5 10 12 10 4 5 8 10 8 3 4 6 5 5 10 12 10 5 5 7 13 12 5 0 2 6 4 2 -0 -3 1 8 7 -0 -2 5 7 4 3 4 5 5 6 7 9 11 13 11 6 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 5 7 11 13 8 5 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 2 -4 -6 -2 1 2 3 4 4 4 3 3 3 4 5 5 5 4 4 5 5 4 3 2 2 2 2 3 4 5 6 6 5 5 5 5 5 5 6 7 8 9 10 10 8 7 6 6 7 7 6 4 4 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 13 15 14 12 11 11 10 8 9 7 2 2 4 4 7 6 5 6 8 9 8 4 0 -3 -2 -1 -0 2 5 8 8 7 7 10 14 18 17 18 17 12 9 8 7 6 5 5 7 15 22 20 13 8 9 14 14 10 9 7 4 4 5 7 9 7 8 9 7 6 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 3 3 5 6 6 6 5 5 5 4 4 4 4 4 4 5 4 4 4 3 3 3 4 5 5 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 3 2 2 2 2 2 2 2 2 3 3 4 4 3 3 3 4 3 4 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 5 5 4 4 5 4 3 3 4 4 5 5 6 6 6 6 6 6 7 8 7 6 6 5 5 6 6 7 7 6 5 4 5 6 7 9 10 10 9 7 6 5 5 5 4 2 -5 -13 -8 -1 -3 1 6 14 5 -0 1 2 5 7 12 13 9 9 10 8 6 6 7 4 3 8 10 9 6 3 4 4 6 7 5 8 9 8 10 11 9 12 11 5 3 10 8 3 4 6 10 9 4 0 -2 2 6 4 3 5 8 7 5 4 5 5 5 6 8 12 14 11 7 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 3 3 3 2 3 4 6 8 8 7 5 4 5 4 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 5 4 -2 -6 -2 0 0 -1 1 3 3 3 3 4 5 5 6 6 5 5 6 5 5 4 3 2 2 2 3 4 5 6 6 5 5 5 5 5 5 7 7 8 9 10 10 9 8 6 6 6 6 5 5 5 5 6 6 7 7 7 7 8 8 8 7 8 8 8 8 9 10 11 10 10 10 10 10 10 10 11 14 15 13 11 10 10 10 9 9 6 5 5 5 5 6 7 8 9 8 6 5 5 5 6 6 6 6 6 5 5 4 4 7 8 8 8 10 10 7 7 7 6 4 3 2 4 14 25 26 16 8 9 14 15 13 10 7 5 5 6 8 8 7 7 7 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 8 6 4 5 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 4 4 4 4 3 3 3 2 2 3 3 4 4 4 5 5 5 5 4 4 4 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 5 5 4 4 4 4 5 5 6 6 6 6 5 6 7 8 8 6 5 5 5 6 7 8 7 6 5 4 5 5 6 7 9 10 10 8 6 5 5 5 4 1 -10 -16 -6 1 -3 -2 1 9 8 5 3 8 2 6 12 11 9 9 6 -0 -6 -4 -8 -11 1 6 5 4 5 7 5 2 2 3 3 9 12 12 11 11 12 13 10 5 5 6 3 4 10 10 12 12 4 -2 1 5 6 6 8 9 8 6 4 4 5 4 5 7 12 15 13 8 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 3 3 2 2 2 3 5 8 7 5 4 3 4 4 4 3 3 5 6 6 6 6 6 6 5 5 5 5 5 6 6 3 -2 -3 3 4 -1 -1 2 3 3 4 5 5 6 7 8 7 6 6 6 5 4 3 2 2 3 4 4 5 6 6 6 5 5 5 5 6 7 8 8 9 10 10 9 7 6 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 9 9 9 9 9 10 11 12 11 11 9 8 8 8 8 7 6 5 6 7 6 6 6 8 9 7 4 5 7 9 11 12 9 7 5 5 5 5 5 5 6 4 2 3 5 6 7 8 6 4 2 -0 1 9 20 23 16 9 7 10 12 11 9 8 8 6 6 8 8 7 7 6 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 nan nan nan nan nan 9 9 7 5 5 5 5 6 5 5 6 6 5 4 4 4 5 6 5 5 5 4 5 5 5 5 4 5 5 5 4 3 2 3 3 4 4 3 3 3 2 2 2 2 2 3 3 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 4 4 3 3 4 3 4 4 4 4 4 4 5 4 4 4 4 3 4 3 3 3 3 3 3 4 4 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 6 6 5 5 5 5 7 8 8 6 5 5 6 7 8 8 8 7 5 4 4 5 6 7 8 10 10 9 7 6 5 5 4 -0 -11 -18 -9 1 4 2 3 13 12 7 3 -0 -4 4 14 8 5 8 5 -1 -3 2 -1 -3 4 8 7 4 6 9 5 -0 -3 1 1 5 8 9 8 7 12 13 9 6 6 5 8 11 12 9 9 8 6 4 7 6 4 7 10 8 6 4 4 5 4 3 5 10 16 15 9 5 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 5 5 6 6 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 3 3 3 3 2 1 0 1 3 10 12 6 3 3 3 3 3 3 3 4 5 6 6 6 6 6 5 5 6 6 6 6 6 6 3 -1 3 8 5 0 2 3 4 4 5 6 7 8 9 8 7 6 6 5 3 3 2 3 3 4 5 5 5 5 5 5 5 5 5 6 7 8 8 8 8 8 7 7 6 5 4 5 5 5 4 5 6 7 8 8 7 7 6 6 6 6 5 6 6 7 8 9 9 8 7 6 5 4 4 6 7 7 6 6 6 7 6 6 6 5 5 6 8 8 7 4 6 8 9 8 7 8 13 14 14 12 8 6 5 5 6 7 6 4 4 3 2 2 4 7 8 9 7 4 2 -0 -0 3 10 15 13 10 7 6 6 4 4 5 6 7 7 7 7 7 7 6 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 nan nan nan nan 6 8 9 8 6 5 5 5 5 4 4 5 6 7 6 5 4 4 5 5 5 5 5 6 6 6 5 5 5 5 6 5 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 5 5 5 6 5 5 5 6 7 8 8 7 6 6 6 7 8 8 8 7 4 4 4 4 5 7 8 9 10 10 8 7 5 5 4 0 -11 -21 -16 -0 9 8 9 12 8 7 6 3 2 1 9 8 7 8 3 2 4 5 4 8 5 7 12 6 2 3 3 -1 -3 1 3 1 -2 -1 6 6 8 8 6 5 5 2 4 9 8 7 8 6 7 11 11 6 6 9 8 6 6 6 7 6 4 2 6 13 16 11 5 4 3 3 3 3 3 3 3 4 4 3 4 4 3 4 4 4 4 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 0 -0 2 8 13 8 3 3 3 4 3 3 3 3 4 5 5 5 5 6 5 5 6 6 7 6 6 7 6 3 1 4 6 4 3 3 4 5 6 7 8 9 9 8 7 6 6 5 3 3 3 3 3 4 4 5 5 4 4 5 5 5 6 6 6 8 8 8 8 7 7 7 6 5 5 5 5 5 4 5 6 7 7 8 7 7 6 6 5 5 5 5 6 6 6 6 5 5 4 2 0 -1 -1 -1 -1 0 2 2 4 5 5 4 5 5 6 7 8 8 7 5 5 7 10 11 10 12 16 15 13 10 7 6 5 6 6 6 6 5 3 3 3 3 4 6 8 8 7 5 3 2 2 2 4 7 7 6 5 5 4 3 3 3 4 5 7 7 7 7 6 6 5 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 6 7 7 7 5 4 5 5 4 4 4 6 7 7 6 5 4 4 4 5 4 5 6 7 7 6 5 5 6 6 6 5 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 4 5 5 4 5 5 4 4 5 4 5 6 5 5 5 6 7 7 7 7 7 7 7 8 9 9 8 6 5 4 4 4 5 6 7 9 10 10 8 7 6 5 5 2 -7 -17 -16 -3 6 8 8 4 2 4 9 14 11 5 5 5 9 8 1 -1 4 5 9 15 7 5 10 5 -2 -2 -2 0 3 4 4 -1 -8 -7 4 4 5 3 3 2 3 -0 -5 -1 1 4 5 -0 6 10 8 5 5 8 5 4 7 9 8 6 3 3 8 14 12 6 4 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 5 4 5 6 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 1 -0 1 5 12 10 3 2 3 4 4 3 3 3 4 4 5 5 5 5 5 5 6 6 7 6 6 7 7 7 4 1 1 3 4 3 4 5 6 7 9 10 9 7 6 6 5 4 4 3 2 3 3 5 4 4 4 3 4 4 5 5 5 5 6 7 7 7 7 8 7 7 7 6 5 5 5 5 5 5 6 7 7 8 7 7 7 6 5 4 5 5 5 5 4 4 3 2 2 1 0 -1 -1 -2 -1 -0 1 3 4 4 4 4 4 5 6 6 8 9 8 7 7 9 10 11 11 11 11 13 13 10 8 7 5 5 5 5 4 3 2 2 3 3 4 5 6 7 7 7 5 5 5 4 2 4 4 3 4 4 3 3 4 3 3 3 4 5 5 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 nan nan nan nan nan 4 5 6 6 6 5 5 4 4 5 4 4 4 6 6 6 6 5 4 5 4 4 4 4 6 7 7 6 6 6 6 7 7 6 5 4 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 3 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 4 3 4 4 4 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 4 4 5 4 5 5 4 5 5 5 4 4 5 5 5 6 6 6 6 7 7 7 8 9 9 9 9 9 9 9 7 5 4 3 3 4 5 6 9 10 10 9 8 7 6 6 4 -1 -9 -12 -6 4 8 6 -0 -2 5 11 6 1 4 -0 0 8 4 1 -2 0 6 8 10 8 7 6 4 -0 -2 -1 4 7 7 7 -3 -11 -2 5 5 7 1 -1 -3 1 1 -2 -0 -1 1 2 -2 2 5 4 3 5 8 5 4 7 8 7 4 3 5 12 14 9 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 6 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 1 0 3 11 14 7 3 2 3 3 3 2 2 2 3 4 5 5 5 4 4 5 7 7 6 6 6 7 8 7 3 -1 2 4 3 3 4 5 7 9 10 9 8 6 5 5 5 4 3 2 3 4 4 4 4 4 3 4 4 5 5 5 5 6 6 6 7 7 8 8 8 8 7 7 6 5 5 5 6 6 6 7 7 8 7 7 7 6 5 5 5 5 4 4 3 2 1 2 4 4 3 2 3 3 3 3 4 4 4 4 5 5 5 5 6 7 9 10 10 9 9 8 8 8 8 9 11 11 10 8 7 5 4 4 2 0 -1 -1 -0 2 3 4 5 5 6 6 6 6 6 6 5 4 3 4 4 5 3 3 4 4 3 3 2 3 3 4 4 5 5 5 4 4 4 5 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 5 6 5 5 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 4 5 6 6 5 5 6 7 7 8 8 6 4 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 9 9 10 10 10 10 11 10 9 7 5 4 3 3 3 4 6 8 10 10 10 8 7 7 6 5 3 -2 -5 -4 2 7 5 2 1 4 6 3 3 2 -2 2 6 5 5 2 -2 2 4 5 5 8 8 6 4 2 1 6 12 12 8 -4 -9 3 7 8 10 7 -1 -3 1 2 1 5 8 10 6 3 2 4 3 4 5 5 4 4 5 4 5 5 5 9 15 12 6 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 1 2 9 18 17 10 6 5 4 3 3 2 2 2 2 3 4 4 3 4 5 6 5 5 5 5 6 8 8 5 -2 -1 4 4 3 4 5 6 7 8 8 8 7 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 8 9 9 10 9 8 7 6 5 5 5 6 6 6 7 7 7 7 7 7 6 5 5 5 4 4 3 3 2 2 4 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 6 9 11 10 9 7 6 5 6 6 7 9 9 9 8 8 6 3 2 1 0 -1 -2 -2 1 2 3 4 4 4 5 6 7 6 6 5 5 5 5 6 6 5 4 4 4 4 3 2 3 3 3 3 4 5 5 4 3 4 5 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 2 2 3 5 5 5 3 2 3 3 4 4 3 3 4 4 4 4 4 5 5 5 4 3 3 4 5 5 5 4 4 5 7 8 8 7 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 4 5 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 8 10 11 10 10 10 11 11 11 12 11 9 7 5 4 3 3 3 4 5 7 10 10 10 9 8 7 7 6 6 3 -1 -2 0 5 6 3 4 7 5 5 6 -0 2 6 5 5 9 8 -1 -3 1 3 3 5 8 9 8 4 5 10 15 11 5 -4 -4 5 6 9 13 11 -1 2 5 5 6 3 5 10 6 5 4 6 6 7 6 4 4 5 4 4 5 6 8 13 15 10 5 4 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 2 2 2 4 12 19 18 15 13 11 9 8 7 5 4 3 3 4 3 2 2 4 4 5 4 3 3 5 6 7 5 -1 -2 2 5 5 4 4 4 4 5 6 6 6 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 6 6 7 7 8 9 10 11 10 10 8 5 3 3 4 5 6 6 5 5 5 6 6 6 6 5 4 3 3 3 5 6 5 4 5 5 5 4 4 4 4 5 4 5 5 5 6 7 7 8 8 9 9 10 8 6 5 5 5 7 7 7 7 8 8 8 8 6 3 2 3 5 5 3 2 2 3 3 3 3 4 5 6 6 6 5 5 5 6 7 8 7 5 4 4 5 4 3 3 3 3 4 4 5 5 5 4 3 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 1 1 2 3 5 5 4 3 2 2 4 4 3 3 3 3 3 4 4 5 5 5 5 4 3 3 4 4 4 4 3 4 6 7 7 6 6 5 5 6 5 5 5 4 4 3 3 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 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 4 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 7 7 8 11 12 13 11 10 10 11 12 13 13 12 10 7 5 4 3 3 3 3 4 6 9 10 11 10 8 7 7 7 7 5 2 -1 -3 3 6 4 5 8 3 4 5 -1 -4 2 6 5 7 8 2 -1 2 3 4 5 7 7 6 6 11 15 10 4 3 -2 -0 5 6 9 10 6 -1 5 5 6 8 5 5 3 1 4 6 8 10 10 7 6 7 6 6 5 5 5 10 15 13 7 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 4 4 4 4 4 3 3 2 2 2 4 9 14 16 16 17 15 14 14 12 11 10 9 8 6 3 3 5 5 6 6 5 5 5 6 7 4 -1 -1 3 4 5 5 5 4 4 3 4 4 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 5 4 3 3 3 5 6 6 6 7 8 9 11 11 12 10 7 3 1 1 2 3 5 5 4 3 3 4 4 4 3 3 2 2 3 6 9 8 5 5 5 5 5 5 4 5 6 6 6 7 8 10 10 10 10 9 8 7 7 6 5 5 5 5 6 6 7 7 7 7 9 12 13 9 5 7 10 9 7 3 1 2 2 3 4 4 4 5 5 6 5 5 5 6 7 9 7 5 3 4 4 4 3 3 3 3 3 3 5 6 6 5 4 4 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 2 1 1 1 2 4 5 6 4 2 2 3 3 3 4 3 3 3 3 4 5 5 5 4 4 3 3 4 4 4 4 3 3 4 6 6 5 4 4 5 5 6 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 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 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 4 5 5 4 5 5 5 4 4 4 5 5 6 7 10 12 13 13 12 11 11 12 13 14 14 13 10 7 5 4 4 3 3 3 4 5 7 10 12 11 9 8 8 8 7 6 4 -0 -3 -0 2 4 2 1 -0 5 12 8 -4 1 5 -1 -0 3 4 4 5 3 5 7 7 5 4 11 22 22 3 -5 1 2 3 5 4 3 3 1 3 5 6 7 8 9 6 6 8 6 3 7 9 6 5 7 7 6 7 7 6 7 12 15 9 5 4 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 3 3 3 3 4 5 8 10 12 13 14 14 13 14 14 15 17 15 10 8 9 10 10 10 10 12 12 12 11 4 -1 1 4 4 4 5 5 4 3 3 3 3 3 3 4 4 5 6 6 5 5 5 5 4 4 4 4 4 5 6 6 1 -3 -0 3 5 6 7 7 7 8 9 11 12 12 11 7 3 -1 -2 -1 1 4 3 2 1 1 2 2 1 1 1 1 2 6 9 8 6 5 4 5 5 5 5 5 7 8 8 9 9 9 9 9 8 6 6 6 5 4 5 5 5 5 5 6 6 7 6 6 9 16 20 15 8 8 8 7 4 0 -0 2 3 3 4 5 5 5 5 5 5 4 5 5 6 7 7 5 4 3 4 4 4 4 4 3 3 4 6 7 7 6 5 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 2 2 2 3 5 6 5 3 2 2 3 3 3 4 4 4 3 4 4 3 4 4 3 3 4 4 3 3 4 3 3 3 5 6 5 4 3 4 4 5 5 5 5 4 4 3 3 4 4 4 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 5 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 8 10 12 13 14 13 13 13 14 15 15 15 13 10 7 5 4 3 3 3 3 4 6 7 10 13 13 11 10 9 8 7 7 4 1 0 -1 2 5 -3 -0 4 10 9 9 1 0 3 -0 -4 -0 2 3 2 0 3 7 9 7 5 10 20 17 5 -2 2 5 4 5 2 -1 -1 -2 4 4 8 9 7 8 4 7 13 9 1 1 5 6 6 8 8 7 6 7 8 13 16 13 7 4 4 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 4 4 5 6 7 8 8 8 9 11 16 19 17 14 13 13 14 12 10 11 14 15 14 8 1 1 3 3 3 4 4 5 5 4 3 3 3 3 2 2 3 4 4 4 5 5 5 5 4 4 4 4 5 9 12 5 -5 -7 -0 5 5 6 7 7 7 7 8 10 11 12 11 9 5 -1 -5 -5 -2 2 2 0 -1 0 1 -0 -1 -1 1 2 4 7 7 6 4 3 3 4 5 6 6 7 6 6 7 6 5 5 6 5 4 4 5 5 5 4 4 5 4 4 5 6 6 6 6 9 15 18 15 10 7 5 4 2 -0 1 3 4 4 5 5 6 5 5 5 4 4 4 4 4 5 6 5 4 3 4 5 5 5 5 4 4 5 6 7 7 6 6 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 4 4 4 3 2 2 3 4 5 5 4 3 2 2 3 4 4 4 4 3 3 3 3 3 2 3 5 4 3 4 4 3 3 3 4 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 3 4 4 3 3 4 4 4 3 3 4 4 3 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 7 9 12 12 12 13 13 14 14 16 16 16 14 10 7 5 3 3 3 3 4 5 6 7 9 13 14 13 11 10 10 9 6 4 3 5 2 6 7 -2 5 7 12 3 7 5 -1 9 8 -3 -3 1 0 0 1 2 6 9 8 8 11 10 3 3 6 8 8 5 6 4 1 2 2 4 5 9 8 6 4 4 6 13 13 4 1 4 7 11 12 10 8 6 6 9 15 15 10 5 3 3 3 4 4 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 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 4 4 3 4 5 7 11 13 13 11 9 10 10 7 5 6 9 10 8 3 2 3 3 3 3 4 4 5 5 4 3 3 3 2 -0 -1 2 3 1 2 4 5 6 6 5 4 4 5 11 15 11 1 -7 -4 3 5 5 6 6 6 6 6 7 8 10 11 13 13 9 1 -8 -9 -2 3 2 -0 -0 1 1 1 1 1 3 4 5 5 5 5 4 3 4 5 7 7 6 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 8 11 12 12 9 6 5 4 4 5 4 3 4 5 5 5 6 6 5 5 5 4 3 3 3 4 5 5 4 4 5 6 6 7 6 6 6 5 6 7 7 7 6 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 4 5 5 4 4 4 3 2 3 4 4 4 4 3 3 3 3 4 4 4 4 4 3 2 2 3 4 4 4 3 4 4 3 3 3 4 4 4 5 5 4 3 4 4 5 4 4 4 4 4 4 4 3 4 4 4 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 3 3 3 4 5 4 5 5 5 5 5 6 9 11 11 11 11 12 13 14 15 16 15 14 11 8 5 3 3 4 4 4 5 6 7 7 8 11 12 11 11 11 9 5 3 3 6 4 8 5 6 5 5 12 6 2 6 3 18 13 -2 -4 2 -1 2 8 7 5 5 6 10 15 10 0 -1 6 8 6 5 7 6 5 6 8 6 6 7 5 5 4 7 6 10 10 8 4 5 7 11 13 9 6 4 4 11 16 12 7 4 4 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 4 4 4 4 3 2 3 3 3 3 3 3 4 5 6 7 5 5 6 6 4 3 3 5 5 3 3 3 3 3 3 3 4 4 4 5 4 4 3 4 1 -3 -0 4 -1 -4 -2 2 4 5 5 4 4 5 10 15 12 4 1 0 3 4 5 5 6 6 5 4 4 5 5 6 9 13 15 11 -1 -11 -9 -2 2 2 2 2 3 5 5 4 4 3 4 4 5 5 5 4 4 4 6 7 5 4 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 5 4 5 5 6 6 7 8 9 9 7 6 6 7 8 7 5 4 4 5 5 5 5 5 4 5 7 6 5 4 3 3 4 4 4 4 5 6 8 9 8 7 6 5 5 6 6 6 5 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 5 5 5 4 4 3 3 3 4 4 4 3 3 3 3 3 4 5 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 3 4 3 3 4 4 4 4 3 3 3 3 2 3 3 3 3 3 4 4 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 4 4 4 4 3 3 3 4 5 6 6 5 6 5 5 6 9 10 10 10 10 11 12 13 14 14 13 11 10 8 6 4 3 4 5 6 6 6 7 6 6 9 11 12 12 10 8 3 2 3 4 4 6 6 11 -1 8 11 8 -1 3 3 16 14 4 1 4 -0 1 7 9 4 3 5 9 12 7 2 3 6 3 2 5 6 7 7 7 7 7 4 3 4 5 7 10 7 7 6 8 4 4 8 10 9 7 5 3 4 13 16 9 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 2 2 3 4 4 3 3 3 4 4 4 3 4 6 7 5 4 3 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 6 7 1 1 7 6 -4 -9 -7 -0 3 4 4 4 4 6 12 12 4 2 5 5 4 4 4 5 5 4 3 2 2 1 0 1 5 12 15 7 -5 -8 -2 3 4 3 4 5 5 6 6 4 2 3 5 5 5 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 8 8 8 7 7 6 7 8 8 8 6 5 6 5 5 5 5 4 3 5 12 13 10 7 5 4 4 5 6 5 5 6 7 8 9 7 6 5 4 5 6 5 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 5 4 3 3 3 4 4 4 3 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 3 3 4 3 4 4 4 3 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 4 5 5 6 6 6 5 5 6 9 10 10 10 11 11 11 11 13 12 10 8 7 7 6 4 4 5 6 7 7 7 8 9 9 9 10 10 11 9 5 2 2 3 3 2 5 12 11 -2 9 12 9 2 3 3 9 11 13 13 10 6 1 4 3 -1 2 6 8 7 5 3 5 4 3 5 5 6 9 6 2 4 7 4 1 3 6 9 11 7 5 5 6 1 -0 7 9 8 7 5 2 5 14 14 8 4 4 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 3 2 2 1 1 3 4 4 4 3 3 4 4 3 2 2 6 10 10 5 3 4 5 5 4 3 3 3 3 4 3 3 4 4 3 4 5 8 6 5 10 12 6 -4 -11 -8 -1 1 2 1 3 4 6 8 5 3 5 5 5 4 3 3 4 4 1 -1 -0 1 -1 -4 -2 5 11 10 5 2 4 5 4 4 6 6 4 3 4 5 4 4 5 7 6 5 5 5 2 2 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 3 4 4 4 4 5 5 5 5 6 7 8 8 7 7 7 8 8 8 9 8 7 7 6 5 6 5 5 4 6 11 15 16 13 9 6 5 6 7 7 6 5 5 6 7 8 7 5 4 4 5 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 3 3 3 3 3 3 3 3 4 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 5 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 6 7 10 10 9 11 12 12 12 12 12 11 8 5 5 5 4 3 3 4 7 8 7 7 8 10 12 10 9 9 9 7 3 0 2 3 1 0 6 17 11 2 4 5 4 8 4 1 2 6 18 19 15 10 2 5 -2 -6 1 4 6 10 7 0 0 3 5 6 6 9 12 4 -3 2 6 6 2 3 7 9 9 5 3 5 5 1 -2 3 7 8 7 4 3 9 16 14 6 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 2 1 1 1 2 4 5 5 4 4 4 4 3 2 2 5 11 13 8 3 3 4 5 5 4 4 3 3 3 3 4 3 3 3 4 4 5 5 6 10 14 10 5 -4 -8 -5 -4 -2 -4 -2 2 3 4 5 4 5 5 5 4 3 3 3 3 2 0 -0 1 1 -2 -3 2 7 9 7 6 6 5 4 5 7 6 4 3 4 6 7 6 6 6 5 6 6 5 5 4 5 5 5 4 3 3 4 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 5 6 7 9 8 8 8 8 8 8 9 8 8 7 7 6 6 6 6 7 8 10 12 15 15 12 8 6 7 7 7 6 5 4 5 6 8 7 5 3 4 4 4 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 nan nan 2 2 3 3 3 3 3 3 3 4 5 5 5 4 4 4 3 3 3 2 3 3 3 4 3 3 3 2 3 3 3 4 4 4 5 5 5 4 3 3 3 4 4 4 3 3 2 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 3 3 3 4 4 4 4 6 6 5 6 9 11 11 10 11 13 15 15 13 12 9 7 5 4 4 2 0 1 4 7 8 7 7 9 12 13 11 9 8 7 4 1 -1 3 6 3 2 8 13 7 4 1 3 6 9 6 -3 -5 4 12 12 10 9 6 4 -2 -3 2 2 5 10 7 2 1 1 3 4 4 9 10 3 -2 3 6 5 1 2 6 8 6 4 3 3 2 3 1 0 4 7 6 4 4 11 17 12 6 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 3 3 2 1 1 2 4 5 5 5 4 4 4 4 3 2 4 9 12 10 5 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 9 15 13 7 4 -1 -2 -2 -3 -6 -8 -3 1 2 3 4 5 5 6 4 3 4 4 3 4 4 4 3 3 3 3 3 4 5 6 5 5 4 5 6 7 6 5 7 7 6 6 5 6 7 5 3 5 5 5 6 6 7 7 5 4 3 4 4 5 5 5 4 4 4 4 4 4 3 4 4 4 4 5 4 5 5 6 8 9 9 9 9 8 6 6 7 7 7 7 8 8 7 6 7 8 8 9 9 11 10 9 7 7 7 7 6 5 4 5 6 7 7 4 3 3 4 4 3 2 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 nan nan 1 2 3 3 3 3 3 3 3 4 5 5 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 3 2 2 3 4 4 5 5 5 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 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 4 5 5 4 5 7 7 6 8 11 13 14 13 13 15 17 16 14 10 7 5 6 6 5 2 -0 1 4 7 8 8 8 10 13 13 11 8 7 6 2 -1 1 5 7 7 8 9 5 3 5 3 6 9 14 12 3 -2 5 1 3 0 6 14 14 6 4 3 2 4 3 2 8 8 2 1 3 4 5 6 4 3 4 6 2 -1 0 4 6 5 7 7 3 1 3 3 3 5 5 5 4 3 12 18 12 5 4 3 3 4 4 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 2 1 1 3 4 5 5 4 4 3 4 4 3 3 6 11 13 9 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 7 16 18 10 6 5 4 4 3 -1 -6 -7 -4 -1 1 3 4 5 7 7 5 5 7 5 4 4 5 5 4 5 5 3 3 4 4 5 5 4 4 6 6 5 5 8 8 6 4 4 5 7 6 3 3 3 4 4 5 7 8 7 5 3 3 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 5 4 5 5 7 8 8 8 9 8 5 6 8 7 6 7 7 7 7 7 6 6 5 5 5 6 7 7 6 6 6 6 6 5 5 5 5 7 6 4 3 3 4 5 4 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 1 2 3 3 4 4 4 3 3 3 4 5 7 7 7 5 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 4 4 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 5 6 5 5 6 7 7 7 9 14 18 18 16 15 16 17 16 12 8 5 4 7 8 6 3 2 3 6 9 9 9 9 11 14 13 10 8 7 5 0 -1 3 6 6 8 9 9 4 1 5 7 3 4 13 16 11 3 5 -2 -1 -4 4 21 23 13 6 3 2 2 -0 2 12 13 7 6 4 4 4 4 6 7 7 4 -0 0 2 4 5 6 10 10 3 1 3 5 6 5 2 3 5 4 11 18 13 6 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 2 2 2 3 4 5 4 3 4 4 4 4 1 3 9 17 15 8 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 5 10 17 17 11 7 7 6 6 5 1 -3 -4 -5 -3 1 4 6 8 8 6 6 7 5 4 4 4 4 4 4 5 3 3 3 3 4 5 6 4 3 4 3 4 5 5 4 4 3 4 5 5 4 3 3 3 4 4 5 8 8 7 4 3 3 3 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 5 4 5 4 6 7 7 8 7 8 9 8 6 5 6 5 6 6 6 6 5 5 4 4 5 6 6 5 5 6 7 5 4 5 6 6 7 6 4 3 3 4 5 5 4 3 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 0 1 2 2 2 3 4 4 4 3 3 3 4 5 7 8 8 5 4 3 3 3 2 2 2 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 3 3 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 5 6 6 6 6 7 8 8 10 15 21 24 21 17 16 16 15 13 10 7 4 4 7 8 6 5 5 7 9 11 11 10 9 10 13 14 11 9 7 3 0 -0 2 4 6 8 5 8 4 2 10 8 -1 1 9 13 10 2 4 5 1 -1 4 21 20 10 5 4 3 1 -0 4 12 11 7 8 5 3 5 7 7 7 9 5 -0 3 6 6 5 5 7 8 3 1 5 6 5 5 3 2 5 7 13 17 12 6 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 3 4 4 4 4 2 1 6 15 19 13 5 3 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 4 5 8 16 18 12 9 8 7 7 5 2 1 -2 -3 1 4 5 7 7 6 4 5 3 3 3 3 3 3 4 5 4 3 4 4 4 6 6 3 2 3 3 4 3 3 2 2 3 3 3 3 4 4 3 3 3 4 4 6 7 9 8 5 3 3 4 4 5 5 4 4 4 4 4 5 6 5 4 4 4 5 5 5 4 4 5 5 6 6 9 9 8 6 5 4 4 5 6 6 6 6 6 5 4 5 6 6 5 5 6 6 6 5 4 5 6 6 6 6 4 4 4 5 5 5 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 1 1 2 2 2 2 3 3 4 3 3 3 3 3 5 8 10 9 5 3 3 3 2 2 2 2 2 3 3 3 3 2 2 2 3 3 4 4 4 4 4 3 4 4 4 3 3 3 3 3 4 4 4 4 5 5 4 4 4 5 5 6 6 5 4 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 4 4 4 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 5 5 4 4 4 4 4 4 5 6 6 6 6 7 7 11 22 30 30 26 20 17 15 14 12 10 8 6 4 3 4 6 7 7 8 10 13 14 13 11 10 11 13 13 12 8 4 0 1 2 2 3 8 10 4 6 3 5 13 9 3 4 8 11 5 -2 1 11 11 5 5 15 11 6 4 4 4 3 2 5 6 4 5 6 5 4 6 10 7 4 7 8 4 5 7 6 5 5 6 5 5 6 7 5 4 4 5 4 4 7 14 17 11 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 5 5 4 5 4 4 4 4 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 3 3 4 4 3 2 1 4 10 17 16 9 4 4 5 4 4 4 5 5 4 4 3 3 3 3 4 3 3 3 3 4 7 13 13 12 13 12 9 7 4 4 3 2 4 4 3 6 7 6 5 4 1 2 3 3 2 3 3 4 4 4 5 5 4 4 4 3 2 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 4 4 5 8 10 8 5 4 3 3 4 4 5 5 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 7 8 7 6 5 5 5 6 6 6 7 6 6 6 6 7 6 6 5 5 6 6 6 4 4 5 5 6 6 5 5 5 6 6 5 4 4 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 1 1 1 2 2 2 2 2 3 3 3 3 3 2 2 2 6 10 12 8 4 3 3 2 2 2 2 2 2 3 3 3 2 2 2 2 3 3 3 4 4 4 3 3 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 5 5 6 6 7 6 6 7 8 20 41 43 28 20 18 16 13 9 7 7 7 7 4 3 3 5 6 7 9 12 15 16 14 13 12 12 13 12 10 5 -1 -3 1 2 -3 3 8 9 5 6 5 5 6 8 7 4 5 5 2 -2 -2 7 14 9 5 6 6 7 6 4 7 8 6 6 5 3 3 5 4 4 6 7 5 4 8 11 9 7 6 6 5 5 8 9 9 12 8 4 4 5 6 5 5 5 10 17 12 7 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 4 3 4 4 3 4 4 4 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 1 2 4 6 5 5 5 6 6 6 6 7 6 5 4 5 4 4 3 3 4 4 2 1 2 6 12 15 13 8 5 4 4 3 4 4 5 5 5 4 3 3 3 3 3 3 3 3 3 3 5 6 8 13 15 15 11 8 7 6 6 7 6 5 5 5 6 8 7 3 0 2 4 2 1 1 1 2 5 7 5 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 7 9 10 8 6 4 4 4 5 5 5 5 4 5 5 4 5 5 4 4 5 5 6 6 5 5 5 5 5 5 6 7 8 7 7 6 5 5 5 6 8 7 6 6 7 7 7 7 6 5 5 6 6 5 5 6 5 6 5 5 5 5 6 6 5 4 4 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 0 1 2 3 2 2 2 2 2 2 3 3 3 2 1 3 8 13 12 5 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 4 4 5 4 4 5 4 4 4 4 4 3 3 3 4 4 4 3 4 4 4 4 4 5 4 5 4 4 4 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 4 4 5 6 6 7 7 6 6 8 13 30 44 33 14 9 13 12 6 3 2 4 6 7 4 3 3 4 5 6 9 13 15 16 15 13 13 13 11 10 6 -0 -3 -3 -0 2 -2 2 7 2 6 9 9 4 1 5 2 -0 2 3 6 5 0 0 8 10 5 0 5 10 10 7 10 13 9 6 5 3 3 4 5 3 2 4 4 7 12 11 8 5 4 5 5 7 10 12 13 15 9 5 6 7 6 5 5 5 8 17 15 8 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 4 3 1 0 2 4 6 5 5 5 5 6 6 6 7 6 6 6 5 5 4 3 4 4 4 2 2 2 3 6 11 14 12 8 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 6 9 12 12 9 10 7 7 12 12 8 6 5 6 7 7 5 3 3 4 3 0 -1 -1 -1 3 6 5 5 5 5 5 4 4 3 3 4 4 3 3 3 4 3 3 3 3 3 3 3 3 4 5 5 6 7 9 9 8 7 6 5 5 5 5 4 5 5 5 4 4 5 5 5 5 5 5 6 6 5 5 6 5 5 5 5 6 7 8 8 6 5 5 6 6 6 6 6 7 7 8 8 8 6 6 7 7 6 6 6 5 4 4 5 4 5 5 5 5 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 2 2 5 11 13 8 4 3 3 3 2 2 2 1 1 1 2 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 4 4 4 4 4 5 5 5 4 4 4 4 4 3 4 4 4 5 4 4 5 5 5 5 5 5 6 7 7 7 7 7 10 18 28 26 13 5 6 9 7 -1 -5 -3 1 5 6 4 2 2 3 4 5 8 13 15 15 14 13 12 12 9 5 0 -2 -1 0 1 5 5 4 5 1 8 12 11 6 2 6 -0 -2 4 4 10 13 8 1 6 14 10 2 3 8 10 9 11 13 13 10 4 1 3 5 11 1 -3 3 5 7 9 7 4 1 3 4 2 6 10 12 16 16 9 5 6 5 4 5 4 5 10 17 17 9 5 4 5 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 2 1 1 3 4 5 6 6 7 6 5 5 6 6 7 7 6 6 4 4 4 4 4 3 3 2 3 3 5 9 12 12 8 5 4 4 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 6 7 7 7 7 7 10 15 14 8 7 6 3 1 2 6 7 5 5 2 1 1 -1 1 4 5 7 8 7 6 5 4 3 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 4 4 5 6 6 7 7 8 8 7 6 6 5 6 5 5 6 6 6 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 5 6 8 8 7 5 5 5 4 5 5 6 6 8 10 9 8 8 8 8 7 5 5 4 3 3 4 4 5 5 5 5 5 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 3 2 2 3 3 2 2 2 2 3 3 3 3 3 3 3 2 3 7 11 10 7 4 3 2 2 2 2 2 2 1 1 1 1 1 2 1 1 1 1 2 2 2 2 2 3 3 3 3 2 1 1 1 2 2 3 3 3 4 3 3 3 3 4 4 5 5 4 4 4 4 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 5 5 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 4 5 5 5 6 7 7 7 7 7 9 14 22 24 15 8 6 6 10 7 -5 -12 -7 -1 4 6 3 2 3 3 4 5 7 12 15 15 14 13 12 9 5 -0 -3 1 6 5 2 5 8 6 8 6 12 11 6 5 5 11 5 0 3 2 6 11 11 4 5 14 15 7 3 7 9 8 8 9 12 12 6 3 4 8 11 1 -1 6 2 2 3 5 4 -1 3 7 4 4 6 11 18 13 7 5 5 2 2 5 6 5 12 20 17 9 5 5 5 5 4 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 3 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 3 3 2 2 2 5 8 8 7 6 6 6 6 6 7 7 6 5 5 5 4 4 4 3 3 2 2 2 3 8 12 12 8 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 4 5 5 5 4 4 4 5 5 6 6 7 8 11 9 8 7 1 1 2 7 10 10 8 6 3 2 1 1 2 3 6 8 8 7 6 5 4 5 5 5 5 5 6 6 6 6 6 6 5 4 3 4 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 5 6 6 6 5 5 5 5 5 6 7 7 6 6 5 3 3 4 6 8 8 7 6 5 5 4 4 4 5 7 9 10 9 8 7 6 5 5 4 3 2 3 4 5 5 6 6 5 4 5 5 5 5 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 8 6 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 2 2 3 7 9 8 5 3 2 2 3 3 3 2 2 1 0 1 2 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3 2 1 1 2 2 2 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 7 7 7 7 9 12 19 25 23 13 12 9 3 8 8 -5 -11 -5 0 4 5 3 3 5 5 6 6 7 11 15 16 14 12 9 5 -1 -4 -2 4 10 9 3 5 7 8 12 9 17 14 0 2 6 8 7 2 2 1 2 7 10 5 2 6 9 8 7 9 7 4 4 5 7 7 4 3 5 8 6 1 2 8 3 2 2 9 8 -2 4 10 9 6 4 11 20 12 5 4 3 1 1 6 11 7 14 23 17 8 5 5 5 5 4 4 4 5 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 5 5 5 4 5 4 4 5 5 4 4 4 4 4 5 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 3 1 -1 3 8 9 7 6 6 6 5 6 7 6 6 6 6 5 5 5 4 4 3 2 2 1 1 2 7 11 12 9 5 5 6 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 7 8 7 5 4 4 6 9 12 12 9 6 3 1 1 0 1 4 8 9 9 7 6 5 5 6 5 5 6 7 7 7 8 8 7 7 5 4 4 4 4 4 5 6 6 5 4 5 4 4 5 6 7 7 8 8 8 8 8 7 7 7 6 6 6 5 5 5 6 7 7 7 7 6 4 3 2 3 6 8 9 8 7 6 4 3 3 4 5 6 7 7 6 5 4 4 4 4 4 4 4 4 6 6 5 5 5 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
nan nan 11 9 6 5 5 4 4 3 2 2 2 3 3 2 2 2 2 2 2 2 4 8 8 7 5 4 3 3 4 4 3 2 2 1 1 1 1 2 1 2 1 1 0 0 0 1 1 1 1 2 2 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 5 5 5 5 5 6 7 7 7 8 7 9 13 19 24 23 17 9 13 8 -4 -1 2 -4 -6 -2 1 3 4 4 5 7 9 9 9 9 12 16 16 13 10 4 -3 -6 -3 1 5 7 6 5 8 11 11 5 5 17 15 1 1 8 4 5 7 5 3 2 9 12 6 1 -0 3 9 11 7 2 0 2 3 5 4 -1 -1 3 5 2 -2 0 10 10 7 7 12 8 -2 4 11 11 9 6 9 19 16 7 4 2 -2 1 9 11 9 15 24 18 7 5 5 5 4 4 4 5 5 4 4 4 4 4 3 3 3 4 3 3 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 5 4 4 4 4 4 4 4 5 5 4 3 4 4 4 4 4 5 5 5 5 5 4 1 -1 2 6 8 7 6 6 6 6 6 6 6 7 7 6 6 6 6 6 5 4 3 2 2 1 0 2 6 10 10 8 6 6 6 6 5 5 5 4 4 4 5 5 6 6 5 4 4 4 4 5 4 4 4 5 5 6 6 7 6 7 7 8 6 5 5 5 6 9 12 11 8 5 3 2 2 2 3 6 9 9 8 7 5 5 6 5 5 7 8 9 9 10 10 9 8 6 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 6 8 9 9 9 8 7 6 6 6 6 6 7 6 5 6 7 7 8 9 9 8 7 6 3 2 3 5 7 9 9 7 5 4 3 2 2 3 4 4 3 3 4 4 4 5 5 5 5 5 6 6 5 6 5 3 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 12 10 8 7 6 6 5 3 3 3 3 3 2 2 2 2 2 3 3 3 3 6 8 9 8 6 4 3 4 4 4 3 2 2 2 1 1 1 2 2 2 2 1 -0 0 1 1 1 1 1 1 2 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 7 8 8 12 21 26 24 18 7 -0 3 -2 -10 -7 -4 -4 -3 -0 2 3 4 5 6 8 11 14 15 12 14 17 15 11 5 -3 -7 -5 -1 2 4 4 3 5 9 14 8 -4 4 13 8 0 1 8 4 5 14 6 4 2 9 14 8 3 2 5 8 8 3 1 2 3 3 3 2 -0 3 5 5 4 -4 -3 10 13 8 8 8 3 1 2 7 11 13 11 8 16 21 10 2 -0 -0 4 9 9 9 15 24 18 7 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 6 6 4 2 1 2 5 6 6 6 5 6 6 6 6 6 7 7 7 7 7 7 6 6 5 4 3 3 2 1 1 2 4 7 8 7 6 6 6 5 4 3 3 2 3 4 5 6 6 5 5 4 3 4 4 3 4 4 4 5 5 6 6 6 7 8 8 7 6 6 5 4 5 9 11 11 8 6 5 4 3 3 6 8 9 9 7 6 5 5 4 5 7 8 10 11 12 12 11 9 7 5 4 4 5 4 4 5 5 5 5 3 4 3 4 4 4 6 8 9 9 8 6 4 4 5 6 6 6 6 6 7 8 9 8 9 9 9 9 8 6 4 3 3 5 7 7 7 6 5 3 2 2 2 2 2 2 3 3 4 5 5 5 5 5 6 6 5 5 6 5 5 4 4 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 11 10 9 7 7 6 6 5 5 4 3 3 2 2 2 2 3 3 3 3 4 7 8 8 7 5 3 3 4 4 4 3 3 2 2 2 2 2 2 3 2 2 1 1 1 1 2 1 0 -0 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 5 5 5 5 4 4 5 4 5 6 6 7 8 8 13 24 31 26 19 13 1 -4 -6 -11 -11 -7 -4 -3 -1 1 3 4 5 6 7 9 13 19 20 16 15 17 15 10 1 -7 -6 0 1 1 2 4 8 12 9 7 -0 -4 6 12 4 -2 -4 4 7 6 16 13 4 -2 5 9 6 5 8 9 7 2 0 3 7 7 5 2 1 5 7 6 5 5 -2 -2 11 17 5 4 4 -2 4 5 2 5 10 13 11 19 25 12 1 0 2 5 6 6 8 12 24 20 7 5 5 5 4 4 4 4 4 5 5 4 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 4 3 3 4 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 6 5 4 3 3 2 1 1 2 3 3 4 5 5 5 5 4 3 2 1 2 3 4 5 6 6 4 4 4 4 4 3 3 3 3 4 4 5 5 5 7 8 8 8 7 7 6 5 3 5 7 10 9 8 7 6 5 4 5 7 9 9 8 6 5 4 3 4 6 8 10 11 13 13 12 9 6 4 4 5 4 4 4 5 6 6 5 5 5 4 3 4 4 4 6 8 9 7 5 3 3 4 5 5 5 5 5 6 7 9 10 9 9 9 10 9 8 6 4 3 3 4 4 4 4 5 4 4 5 4 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 5 4 3 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 9 10 10 9 8 8 9 9 8 6 5 4 3 3 2 2 2 2 2 2 3 4 6 7 7 6 4 3 3 4 4 4 3 3 2 2 1 2 2 3 2 2 2 1 1 2 3 3 2 1 1 1 2 1 2 2 2 3 3 3 3 4 3 3 3 3 4 4 5 5 5 5 4 4 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 6 7 8 8 13 26 39 35 18 8 6 4 7 -3 -11 -9 -6 -2 0 2 3 3 4 5 7 8 11 16 22 23 19 18 20 17 7 -5 -9 -4 3 4 4 5 5 7 11 15 15 9 4 7 9 3 -3 -11 -3 7 8 18 24 10 2 4 6 3 5 9 10 8 3 -1 4 10 9 5 2 3 9 10 7 8 5 0 0 14 19 4 1 3 -3 5 6 0 0 6 9 14 23 24 12 3 3 3 4 5 6 6 10 24 21 8 5 5 5 4 4 4 4 5 5 4 3 3 3 4 3 4 4 3 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 4 5 6 6 6 6 5 6 6 6 7 7 7 7 7 6 6 5 4 4 3 2 2 1 0 -0 1 2 4 4 3 2 1 1 2 2 3 4 5 5 5 4 4 4 4 4 3 3 4 4 4 5 5 5 6 7 8 8 8 7 7 6 4 3 3 6 7 6 6 8 7 7 6 6 7 8 7 6 5 3 3 4 5 7 8 11 12 12 10 7 5 3 4 5 4 4 5 5 6 6 7 6 5 5 4 4 3 3 5 7 7 6 4 4 4 4 4 4 4 4 5 5 6 7 9 9 9 9 10 11 11 9 6 4 4 4 4 4 3 3 4 5 6 6 5 4 4 4 4 4 4 4 5 5 6 5 5 6 6 6 7 5 4 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 5 8 9 8 7 9 13 15 14 10 7 5 4 4 3 2 2 1 2 2 2 3 5 6 7 7 5 3 2 2 2 3 4 4 3 2 1 0 1 2 3 3 3 3 3 3 3 4 4 3 2 2 2 2 1 1 1 2 2 3 4 4 4 3 2 2 2 3 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 4 5 5 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 5 4 4 5 6 7 7 9 12 22 36 41 27 11 -2 -6 6 10 -4 -13 -9 -5 0 3 4 4 4 5 6 8 9 12 18 22 20 19 22 22 12 -2 -9 -8 -3 2 6 8 10 9 4 1 6 18 25 18 7 3 1 -1 -7 -4 5 10 17 18 4 3 7 9 5 5 8 8 9 5 0 4 8 6 4 3 6 11 10 6 6 6 2 3 14 14 2 -1 0 -3 5 5 1 4 6 5 13 24 22 12 4 4 4 6 7 7 6 10 21 20 9 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 3 3 4 4 4 4 5 5 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 4 5 5 4 4 5 5 4 3 3 2 3 4 6 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 5 4 4 3 3 2 -0 -1 1 2 3 3 2 2 1 2 2 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 8 8 8 9 8 7 5 3 2 3 3 3 3 5 7 7 7 6 6 7 7 5 4 3 2 3 4 6 7 8 9 8 7 6 3 2 3 4 4 5 5 5 6 7 7 7 7 6 5 4 3 3 4 4 6 4 4 4 4 3 4 3 4 4 4 5 4 5 6 7 9 9 8 10 12 12 9 7 6 7 8 8 6 4 4 5 5 5 5 5 4 4 5 5 4 4 5 5 4 4 4 5 4 4 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 1 -0 1 4 5 5 5 9 15 17 16 14 11 8 6 5 4 3 3 2 1 2 2 3 4 6 7 6 4 3 2 2 2 3 4 5 5 3 0 -1 0 1 3 3 3 3 3 3 4 4 5 5 4 3 3 2 1 0 0 1 1 2 3 4 4 4 3 2 2 3 3 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 5 5 7 7 8 10 13 18 26 30 28 18 10 -4 -13 -7 -13 -19 -15 -7 -1 3 4 4 3 4 5 7 8 9 14 20 19 16 17 21 14 -1 -7 -6 -5 0 3 5 7 8 7 9 8 3 6 18 14 2 0 2 3 5 5 7 11 11 5 -3 -0 7 8 6 6 6 4 5 5 6 8 5 4 4 3 5 9 9 6 9 9 2 3 12 14 3 -2 -3 -5 5 7 5 5 4 2 13 25 22 11 4 3 5 6 8 8 8 12 20 17 8 5 5 5 5 4 4 4 5 4 4 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 4 5 6 7 7 7 6 6 6 6 6 7 7 6 6 7 7 7 6 6 5 5 4 4 2 2 2 2 2 2 2 2 1 1 2 3 3 3 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 8 8 9 9 8 6 3 2 2 2 1 2 2 4 5 6 6 7 7 7 5 3 2 1 2 4 6 6 6 6 6 5 4 2 2 4 4 5 5 6 6 6 7 7 7 7 6 6 5 4 4 3 4 5 3 3 3 4 3 3 3 3 3 4 4 4 4 5 6 7 6 5 6 8 10 10 9 9 9 11 11 11 8 5 5 4 4 4 4 5 4 4 5 5 5 5 5 4 3 3 4 4 4 5 5 5 5 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 0 0 2 2 3 5 8 10 11 11 12 13 13 11 8 6 4 3 3 2 2 2 3 4 5 6 5 3 1 1 2 3 4 5 5 5 4 1 -0 0 2 3 3 3 4 4 4 3 3 4 5 4 4 3 3 3 1 1 1 1 2 2 3 5 5 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 9 11 14 18 18 17 13 11 14 12 -2 -15 -20 -24 -19 -7 -0 3 4 4 3 3 4 5 7 8 9 14 21 18 13 13 12 2 -7 -6 -4 -4 6 4 1 4 4 2 7 13 15 12 9 2 -1 2 5 9 13 13 12 12 9 2 -2 2 9 6 5 5 3 -1 -4 2 16 16 7 5 3 -0 1 5 6 6 10 9 2 4 12 18 13 6 -1 -2 3 9 8 5 4 7 14 21 18 9 2 1 4 6 7 8 9 14 21 17 7 5 5 5 5 4 4 4 5 5 4 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 3 3 5 6 7 7 6 5 6 7 6 7 6 6 6 6 7 6 6 7 6 6 6 5 5 5 4 4 3 3 2 2 1 -0 0 2 3 3 4 4 5 5 5 5 5 4 5 5 5 4 4 4 5 5 6 6 7 8 8 9 9 7 4 2 2 2 1 2 3 3 4 5 5 5 7 7 6 4 3 1 2 4 6 6 6 5 5 4 3 2 2 3 5 5 5 5 5 6 7 7 6 6 7 7 7 6 4 2 3 4 2 1 1 2 2 2 3 2 3 4 4 4 4 4 5 5 5 3 2 2 4 6 7 7 8 9 10 11 9 6 5 4 3 4 4 4 4 4 4 4 4 5 4 3 3 3 3 3 4 5 4 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 5 4 3 3 2 2 5 5 4 4 3 5 9 13 14 13 9 6 5 4 2 1 2 2 4 5 6 4 3 1 1 2 3 4 4 3 4 3 2 1 2 3 4 4 3 3 3 4 3 3 3 4 4 3 4 4 4 4 3 2 2 1 1 2 3 5 5 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 5 5 4 5 5 5 5 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 9 12 9 12 15 16 15 10 7 2 4 14 14 2 -12 -15 -12 -5 2 5 5 4 2 2 4 5 6 7 7 8 14 22 20 13 9 3 -3 -5 -5 -6 -3 7 6 -0 2 4 3 1 2 11 13 11 3 4 4 4 9 14 13 13 12 6 0 3 9 9 6 5 6 2 -3 -8 1 18 18 9 7 3 -3 1 7 4 2 4 4 3 6 9 15 15 10 6 5 2 10 14 12 11 11 13 15 10 4 1 0 2 5 6 6 9 15 20 16 7 5 5 5 4 4 5 5 5 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 4 4 4 5 6 6 5 4 4 5 6 6 6 6 5 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 4 3 2 1 0 1 2 3 3 3 4 4 5 5 4 4 5 5 5 5 4 4 5 5 6 6 6 7 8 8 8 8 5 3 2 2 2 3 3 4 5 5 5 4 4 6 7 7 5 3 3 4 6 7 7 6 4 4 2 1 2 4 5 6 5 5 5 5 5 6 5 5 7 9 10 8 4 3 4 4 3 1 -0 -0 0 1 2 3 3 3 4 4 3 4 4 5 5 3 1 0 0 1 2 3 4 4 5 5 5 4 3 2 2 2 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 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 6 6 6 5 4 3 4 4 4 3 -0 -0 2 7 13 16 14 10 7 5 3 2 1 2 3 5 6 6 4 4 4 4 4 2 0 -0 1 2 3 2 4 6 6 5 4 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 3 1 -0 0 2 3 3 3 3 3 3 3 3 4 4 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 6 10 13 11 11 13 11 8 6 6 5 15 28 25 13 1 -1 2 5 7 7 6 3 2 2 4 5 6 8 7 8 14 23 22 13 7 1 -3 -3 -1 2 6 7 7 1 1 4 4 6 9 10 8 3 3 7 3 2 7 9 7 9 8 3 2 8 11 7 6 8 9 4 0 -2 6 13 11 7 6 2 2 5 5 2 2 5 5 3 4 8 9 6 1 7 13 3 5 16 20 18 12 10 8 3 2 1 -1 1 4 5 6 10 17 20 14 6 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 5 5 4 5 5 5 5 5 4 4 4 5 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 6 6 7 7 7 5 5 3 2 2 2 3 3 3 3 3 4 4 4 4 5 6 5 6 5 5 5 6 6 6 6 7 7 8 8 8 7 6 4 4 3 4 4 5 6 7 6 5 4 4 6 9 7 4 3 4 7 9 8 6 4 3 2 1 2 4 5 5 5 5 5 5 5 6 6 4 6 10 13 12 8 6 6 7 6 4 1 -1 -1 -0 1 3 3 4 4 4 4 4 4 3 3 3 3 1 -0 -1 -0 1 2 1 1 2 1 1 1 1 0 1 2 2 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 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 6 6 6 5 5 4 3 4 6 5 2 -1 0 5 12 18 19 16 12 8 5 3 2 2 3 5 7 7 7 7 7 7 5 2 -1 -1 0 2 4 4 5 7 8 7 6 5 4 3 3 3 3 3 4 5 5 4 4 4 5 5 4 2 0 -0 1 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 7 11 14 12 9 8 8 7 6 10 14 26 37 31 21 14 10 9 9 9 7 5 3 2 3 4 6 7 8 8 7 14 24 22 12 7 5 1 -2 1 6 9 10 8 3 2 5 7 9 11 15 12 1 3 6 2 4 8 6 2 3 4 4 7 10 9 7 6 7 9 11 8 4 10 13 10 5 3 -0 5 8 5 0 1 7 5 3 6 6 1 2 3 7 14 2 -5 9 27 23 10 3 -2 -2 2 -0 -0 2 4 5 6 8 16 23 15 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 7 7 7 6 5 4 4 4 4 4 4 4 3 4 4 4 4 5 6 6 6 5 5 6 6 6 6 6 6 7 6 6 7 7 6 5 6 5 6 7 7 7 7 7 5 4 4 7 9 7 4 4 7 7 7 6 4 3 2 1 2 4 5 5 5 5 5 5 6 6 6 6 6 8 11 13 11 7 7 9 12 11 7 3 1 1 2 3 4 5 5 5 5 4 4 3 3 3 3 2 2 1 0 0 1 2 1 1 1 1 1 -0 0 -0 0 1 2 2 3 4 4 3 3 2 2 3 3 3 3 3 4 4 4 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 4 4 4 4 4 5 5 4 3 6 10 14 16 17 16 14 12 9 6 3 3 3 5 7 6 6 7 9 9 7 4 1 0 1 3 5 5 6 8 8 8 7 5 4 3 3 3 4 3 3 4 5 4 3 3 4 5 4 3 1 1 2 2 2 2 2 2 3 4 4 3 4 4 4 4 5 4 4 4 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 12 15 15 10 6 7 8 7 8 10 15 16 21 19 16 13 12 11 10 8 7 5 4 3 4 4 6 8 8 8 8 15 25 21 12 10 10 6 2 -0 -2 1 7 7 6 6 5 9 4 2 12 17 5 7 5 4 9 10 6 4 2 1 7 13 11 11 13 7 4 8 18 16 7 6 11 13 8 2 -3 3 8 7 1 5 12 7 7 13 3 -6 4 13 14 12 4 -5 7 31 21 4 -4 -6 2 5 2 4 6 3 4 6 7 12 23 19 7 4 5 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 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 5 5 7 7 7 6 6 5 6 6 6 5 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 7 7 6 5 4 4 5 5 5 7 7 7 8 8 8 7 7 8 7 4 3 5 7 8 8 7 5 5 5 5 3 1 -0 0 2 3 4 5 5 5 5 5 6 6 7 7 6 5 7 9 9 6 5 8 13 15 13 8 6 5 4 4 5 5 5 5 5 5 5 5 5 4 5 4 4 4 2 2 2 3 3 2 2 2 2 1 0 -0 0 1 1 1 2 3 4 4 3 3 2 3 3 3 3 3 4 4 4 4 5 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 3 3 4 4 3 3 3 3 7 12 15 13 8 6 7 9 11 11 10 8 6 5 5 5 5 4 5 8 10 7 5 3 3 3 4 5 6 7 7 6 6 5 4 3 3 3 4 4 3 3 4 4 4 4 3 3 3 3 4 4 4 3 2 2 1 1 2 4 5 5 4 3 3 3 4 5 5 4 5 5 4 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 8 14 17 16 11 7 5 6 6 7 8 6 8 1 -3 5 9 9 9 9 8 7 6 6 5 5 5 5 6 8 9 9 10 18 24 20 14 12 9 6 6 3 -3 -4 -1 1 5 6 6 10 3 0 10 12 5 8 4 7 12 9 9 10 7 3 9 14 12 16 19 12 7 9 11 12 14 9 5 8 2 2 2 4 9 6 5 9 11 8 12 13 -0 -5 4 12 15 12 14 6 16 30 14 -5 -10 -1 15 17 12 11 10 5 3 6 7 11 20 20 8 4 5 4 4 5 4 5 5 5 4 3 3 4 4 4 4 4 3 4 4 4 4 5 5 5 4 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 6 6 5 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 5 6 5 5 4 3 3 3 4 4 4 4 5 6 6 5 5 5 6 6 6 5 4 4 5 5 5 5 4 4 5 6 6 5 5 6 6 7 7 7 6 5 2 1 2 4 7 8 9 9 9 9 8 8 8 7 5 3 3 4 7 9 9 7 5 5 5 2 -1 -2 -0 2 3 4 4 5 5 5 5 5 6 7 8 7 4 4 6 6 5 4 5 8 13 13 10 9 8 7 6 5 5 5 6 7 7 7 7 7 7 6 5 5 5 4 3 3 4 5 5 4 4 3 3 2 2 1 1 1 0 1 2 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 1 1 1 1 2 3 4 3 3 3 6 12 15 12 4 -1 -1 1 4 7 11 12 11 7 5 5 4 3 4 7 9 8 6 6 5 5 5 6 6 6 7 6 4 3 2 1 2 3 5 6 5 3 3 5 5 5 4 2 1 2 5 6 6 4 3 1 1 1 2 4 5 5 4 4 4 4 3 4 5 5 5 4 5 4 4 5 5 5 5 5 5 5 4 5 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 5 5 5 9 15 17 13 8 6 5 6 5 6 6 5 3 -5 -10 3 8 7 7 7 6 5 6 6 6 6 6 6 7 9 9 10 13 20 21 15 14 11 4 4 7 6 3 2 1 -0 -1 1 7 11 6 3 7 5 9 10 2 6 8 9 13 16 11 5 6 7 7 12 13 8 5 4 0 9 19 15 8 4 -10 0 12 7 7 3 6 4 -0 5 12 7 1 3 7 9 4 9 21 15 25 26 5 -12 -10 8 24 27 21 16 12 7 5 6 6 9 18 20 10 5 5 5 5 4 4 5 5 4 4 4 3 4 4 4 4 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 6 6 6 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 5 2 -0 0 3 7 8 8 9 9 10 10 9 9 8 7 4 2 2 4 7 10 10 8 6 5 2 -2 -2 -0 1 3 3 4 4 4 5 5 5 6 7 9 9 6 4 4 5 5 5 5 6 8 10 10 10 10 9 8 6 6 6 7 7 7 7 8 9 8 7 7 6 6 5 3 3 5 5 6 5 5 5 4 3 3 2 2 3 2 2 2 2 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 1 1 1 1 2 4 4 4 4 5 9 13 13 8 1 -3 -3 -3 -0 6 11 13 12 8 5 4 4 3 5 7 8 8 8 7 5 5 4 4 6 7 7 6 5 3 1 1 3 5 7 6 4 4 6 8 8 4 2 2 2 4 6 7 6 4 2 1 2 3 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 5 5 6 5 5 6 8 14 16 12 9 5 5 6 6 7 7 5 1 -4 -4 4 6 5 5 4 5 6 6 6 7 7 6 7 8 10 12 15 19 20 16 11 12 7 2 1 2 1 6 11 11 6 1 3 11 15 10 3 -2 1 13 8 2 5 7 10 15 16 9 7 6 3 -2 -0 2 3 0 -2 -0 9 12 9 12 9 -8 1 14 10 8 -0 -5 -6 -2 7 7 2 4 9 9 7 2 7 16 19 29 21 -0 -10 -2 12 22 23 19 15 11 7 6 6 5 7 15 20 12 6 6 5 5 4 4 5 5 4 3 3 3 4 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 5 6 6 6 6 5 5 5 4 4 5 5 5 5 5 6 6 6 5 5 4 2 -0 3 6 5 6 7 8 9 10 10 10 9 8 6 3 2 3 5 9 12 11 9 6 2 -0 -1 0 1 3 3 4 3 4 4 4 5 6 7 9 10 8 6 5 5 6 6 5 6 7 7 8 9 10 9 8 7 7 7 7 6 6 6 7 7 8 8 8 7 7 6 4 3 4 5 6 6 6 5 5 4 4 4 4 5 4 4 4 4 3 4 4 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 2 1 2 3 3 4 5 5 5 7 10 13 10 5 0 -2 -3 -3 1 7 12 14 12 8 5 4 3 3 4 7 9 9 6 4 3 2 2 4 7 10 11 9 6 3 1 2 5 6 6 5 5 9 11 10 6 3 3 3 3 4 5 5 4 4 2 2 3 5 5 5 5 5 6 6 6 5 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 6 5 6 7 7 12 16 15 10 5 5 6 7 9 7 3 0 0 3 5 4 4 5 5 5 6 6 6 6 7 8 9 11 14 18 21 21 17 11 9 10 9 6 3 -2 -2 3 6 8 7 6 10 13 13 9 1 -5 2 8 1 1 6 6 5 12 14 6 8 11 9 2 -4 1 8 5 8 16 15 5 -1 11 12 5 6 9 10 11 6 -2 -3 3 4 -5 -6 4 11 9 3 3 4 8 20 27 17 2 -3 4 12 14 14 11 11 8 5 5 5 4 8 17 21 12 5 6 6 5 4 4 5 5 4 3 3 4 4 4 4 3 3 3 4 4 4 5 5 4 4 5 5 5 4 4 4 5 5 4 5 5 4 4 4 4 4 4 5 4 4 5 5 5 6 6 5 3 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 6 6 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 3 3 3 4 4 4 4 5 6 6 6 6 6 5 5 5 4 5 6 6 5 5 5 6 6 4 3 7 8 2 4 6 3 3 4 6 9 10 11 10 10 9 7 4 3 3 4 6 11 13 10 6 3 1 0 1 2 3 4 4 3 4 3 4 5 6 8 10 10 9 7 6 6 6 6 6 7 7 7 7 8 9 9 8 8 7 6 6 6 5 5 6 5 6 7 7 8 8 7 5 3 3 5 5 6 6 6 6 6 6 6 6 7 6 6 6 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 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 6 6 5 4 3 4 4 5 5 5 6 7 7 9 10 9 7 4 2 1 0 2 7 11 14 15 12 8 5 4 2 3 6 8 7 4 2 2 1 0 2 5 10 12 11 8 5 3 3 4 5 5 6 7 8 11 10 7 5 5 4 3 2 2 3 4 4 4 3 4 5 5 4 3 4 5 6 6 6 5 4 4 4 5 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 6 5 5 5 5 5 6 8 9 8 9 17 20 11 5 6 7 7 4 3 4 3 5 8 7 5 5 6 6 6 5 4 5 6 8 12 14 16 20 22 21 16 11 9 9 9 11 12 9 -0 -4 -5 0 4 7 8 8 7 6 4 1 -1 1 5 4 6 8 3 0 13 14 7 7 12 12 6 -0 3 7 10 21 29 21 9 3 7 6 6 10 11 9 8 2 -5 5 20 11 -9 -8 3 7 2 2 6 5 7 16 20 15 6 3 8 12 12 9 7 7 7 5 4 4 4 10 18 15 6 5 6 6 6 5 5 5 5 5 4 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 3 3 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 6 7 7 6 6 6 6 6 4 1 7 11 6 5 6 4 1 0 4 8 10 10 10 10 9 7 6 5 4 4 5 10 13 12 7 3 3 3 3 3 4 4 4 4 4 4 4 5 6 8 9 10 9 8 6 6 7 7 6 7 7 7 6 7 8 8 8 7 6 5 4 5 5 5 5 5 5 5 6 7 9 9 7 5 4 3 4 6 6 7 7 7 8 8 8 7 7 7 6 6 6 6 5 4 4 5 5 5 5 6 6 6 6 6 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 5 5 4 3 5 7 7 6 5 5 7 8 8 9 8 6 5 4 3 3 4 8 12 14 15 16 15 11 8 6 4 4 6 8 7 4 3 3 2 1 1 3 6 8 9 8 6 4 3 2 4 6 7 7 6 7 7 7 6 6 5 3 1 1 1 3 5 5 4 4 6 6 4 3 3 4 5 6 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 5 5 4 5 6 5 5 5 5 5 5 4 4 4 5 6 6 6 6 5 5 5 6 8 9 9 8 10 20 20 10 7 8 9 7 0 -2 -0 4 8 10 8 7 6 6 5 4 3 3 4 7 13 17 17 18 20 17 13 10 10 12 13 11 10 9 7 3 2 -2 -2 3 10 11 5 -0 1 3 5 8 5 4 7 10 11 6 4 11 11 5 3 10 4 -2 1 6 6 10 17 19 15 10 5 3 -0 1 9 11 10 7 -7 -11 9 31 17 -5 -4 5 3 -3 0 6 10 12 13 13 13 9 7 10 11 11 8 6 5 7 7 5 3 4 8 11 8 5 10 11 8 7 6 5 6 5 4 4 5 5 5 4 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 7 7 7 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 5 6 6 6 5 5 6 5 5 6 6 6 6 6 7 7 6 6 6 7 7 4 3 8 11 7 6 7 5 1 -1 3 7 8 8 8 8 7 8 7 6 5 6 6 8 12 11 7 4 5 5 5 4 4 4 4 4 4 5 5 5 6 7 9 9 9 8 7 7 6 6 6 7 7 6 6 6 6 7 6 5 5 4 3 3 4 5 6 6 5 5 5 5 6 8 8 6 5 4 3 4 5 6 7 8 8 8 7 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 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
nan 2 2 2 4 6 8 8 6 5 5 7 8 9 9 8 6 2 1 1 2 6 12 16 18 18 18 16 13 10 9 8 7 7 8 7 5 4 3 2 2 1 1 2 4 6 6 5 3 2 2 4 7 8 7 5 3 4 6 7 6 5 5 3 1 1 3 6 6 4 4 7 7 5 3 3 4 4 5 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 5 5 4 5 5 5 6 5 5 5 4 4 4 4 5 6 6 6 6 6 5 6 7 9 10 9 7 12 21 18 10 9 10 10 8 2 -5 -5 5 9 9 7 6 5 4 3 3 3 3 6 12 18 15 12 15 14 10 9 9 10 14 15 12 8 4 0 5 11 6 -1 2 13 15 6 2 4 6 9 11 7 3 5 10 16 14 8 5 5 -1 -0 6 -4 -7 5 11 11 9 9 7 6 6 5 7 7 4 7 7 10 10 -2 -6 9 21 12 1 2 8 6 1 4 11 16 14 9 8 8 8 9 10 10 9 7 6 4 6 8 5 3 4 6 6 7 8 13 17 13 8 7 6 6 5 4 4 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 4 5 4 4 3 3 4 5 5 6 7 7 6 5 4 3 3 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 6 7 7 6 7 6 6 7 7 7 8 8 7 7 7 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 6 5 5 6 6 6 6 6 6 7 9 9 5 6 11 10 6 6 6 6 2 -1 3 6 7 7 7 6 6 7 7 7 7 8 7 8 11 12 8 5 5 5 5 5 5 5 4 4 4 5 6 6 6 7 8 9 9 8 8 7 7 6 6 7 7 6 6 5 5 5 5 5 5 4 4 3 4 5 6 6 6 6 6 5 5 6 7 6 5 4 3 3 3 5 6 6 7 7 7 7 7 7 7 6 5 5 6 6 6 6 5 4 3 3 3 3 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 1 2 3 6 7 9 9 7 6 7 7 7 8 9 9 7 3 1 -0 1 5 10 15 17 18 18 15 13 11 11 10 9 7 6 6 5 3 2 3 4 3 2 2 4 5 5 3 1 2 4 7 8 8 6 4 2 4 6 7 6 5 5 4 2 2 3 6 7 6 5 6 7 5 3 2 3 4 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 5 5 6 6 5 5 5 4 4 4 5 6 7 7 6 5 5 7 9 11 10 8 7 14 22 17 10 9 10 10 9 9 6 2 7 8 7 6 5 5 4 3 3 3 4 10 18 18 11 12 14 11 10 11 10 11 13 12 7 4 3 5 7 7 8 6 5 12 13 8 10 10 7 7 7 5 4 6 11 18 16 6 0 -1 -4 2 6 -2 -3 9 13 14 12 9 6 5 5 8 13 12 10 11 8 8 9 4 1 5 10 11 13 11 7 6 7 11 17 20 14 6 2 3 6 10 10 9 8 6 4 3 5 7 4 2 3 5 6 7 8 13 20 16 9 7 7 5 4 5 5 5 5 5 4 3 4 4 4 3 3 3 4 4 4 5 5 4 5 5 5 4 4 5 4 5 5 5 4 3 2 3 5 7 7 6 6 7 6 5 4 4 5 5 5 5 5 6 5 5 5 5 5 6 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 7 8 9 9 8 8 7 7 6 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 10 10 7 9 10 7 5 5 6 6 4 2 1 2 5 5 6 5 5 6 7 9 10 10 9 9 11 12 8 4 3 4 5 6 6 6 5 4 4 5 5 6 6 6 7 8 9 9 8 8 7 6 6 7 6 6 6 5 5 6 6 6 6 5 6 6 5 6 6 7 7 7 7 6 5 5 6 6 4 3 4 4 3 4 5 5 6 6 6 6 6 7 7 7 5 5 6 6 6 7 6 6 5 3 3 4 3 3 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 7 8 8 10 11 10 8 8 8 7 7 8 9 8 6 3 1 1 3 7 11 13 15 15 12 11 10 10 10 9 7 5 4 3 3 2 2 7 11 10 9 8 8 6 3 2 3 6 8 8 6 5 4 4 6 7 7 6 5 5 4 3 2 2 4 7 7 5 5 5 4 3 2 3 4 5 6 6 6 6 5 5 5 6 5 5 4 4 4 4 4 5 5 5 4 4 4 5 5 5 6 6 6 5 4 4 5 5 6 7 7 6 5 7 10 12 10 8 7 10 19 23 17 8 8 10 11 8 12 11 6 6 5 4 4 4 4 4 4 4 4 7 14 19 14 10 13 11 11 15 16 16 16 14 9 2 -0 6 13 10 -1 1 6 9 8 6 7 13 12 4 3 3 8 13 12 14 17 10 2 1 -0 -0 5 7 7 8 11 13 14 14 10 6 4 3 5 7 8 9 10 8 4 6 11 6 -4 1 8 15 16 8 1 2 9 16 16 10 3 -2 -1 6 11 11 9 7 6 4 3 5 5 3 2 3 6 7 7 8 11 19 18 10 7 6 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 4 5 5 4 5 5 5 5 4 4 4 5 5 4 5 4 4 3 2 3 5 7 6 5 4 4 5 4 5 5 6 6 6 6 5 6 6 5 6 5 5 6 6 5 5 4 4 4 4 5 5 6 6 7 8 8 7 7 7 8 9 8 8 7 5 5 6 7 8 8 8 7 7 6 6 7 7 7 7 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 6 8 12 12 9 8 6 4 4 5 5 5 5 4 1 -1 2 5 6 6 6 6 7 9 11 11 11 11 12 13 9 4 2 4 5 6 7 8 7 5 4 5 5 6 5 5 6 7 8 9 8 8 8 7 7 7 6 7 6 6 6 6 6 7 6 6 7 7 7 6 6 6 7 7 7 7 6 6 6 6 5 4 5 5 5 5 5 5 5 5 6 5 5 5 6 7 7 6 6 6 7 7 7 6 6 5 5 4 4 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 10 10 10 10 11 9 7 7 7 7 7 8 8 9 7 5 3 1 3 5 8 10 12 11 10 9 8 7 6 6 5 4 4 4 3 3 5 11 17 16 12 11 12 9 5 3 5 6 6 5 4 4 5 5 7 8 7 6 4 3 3 3 2 2 3 5 6 6 5 3 2 2 3 3 4 5 6 6 6 6 6 5 5 5 6 6 5 4 3 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 6 7 7 7 6 7 10 13 11 8 7 9 16 25 26 15 6 7 12 12 3 4 3 1 2 3 3 4 5 5 5 5 5 4 8 15 16 9 9 10 7 10 15 17 19 20 15 9 4 1 8 11 8 2 -2 3 11 8 2 2 6 7 1 1 4 11 14 13 14 11 3 1 4 5 5 6 7 8 11 12 12 10 9 5 1 1 -0 -1 1 6 10 11 9 4 4 13 6 -7 -3 5 12 14 8 1 5 14 17 11 3 -2 -3 1 7 11 11 9 9 7 4 4 5 3 1 2 3 5 7 7 7 11 19 19 10 5 5 5 4 6 5 5 5 4 3 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 2 3 5 5 5 5 4 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 6 5 4 4 4 3 3 3 2 3 3 4 4 5 6 7 6 5 5 6 6 6 5 5 3 3 4 5 6 7 8 8 8 8 8 8 7 7 6 7 7 6 6 5 5 5 5 5 5 5 5 6 5 6 5 4 3 3 4 5 10 15 12 8 5 3 3 4 5 5 5 6 5 -1 -2 2 5 6 7 6 7 8 9 11 13 13 13 13 13 10 5 3 4 6 6 7 8 7 5 4 5 5 5 4 4 5 6 8 8 8 8 8 8 7 7 7 6 7 6 6 6 7 6 6 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 6 5 5 5 6 7 7 7 7 6 6 6 7 6 5 5 5 5 5 4 4 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 9 10 11 9 6 3 2 2 5 8 8 7 8 9 8 7 5 3 2 5 7 9 10 10 10 9 8 6 4 4 3 3 4 5 6 6 8 12 15 12 7 7 11 12 9 6 5 4 3 2 2 3 4 7 8 8 7 4 2 2 3 3 3 2 2 3 5 6 5 2 0 1 3 3 4 4 5 5 6 6 6 6 5 5 6 7 6 5 4 3 3 3 4 4 4 4 4 4 5 6 6 6 6 6 5 4 5 6 7 7 7 7 10 13 12 8 6 9 17 27 33 25 14 7 6 6 3 -4 -2 2 1 1 2 3 4 5 6 6 6 5 5 8 13 13 9 8 8 6 7 8 11 15 18 14 10 7 4 4 5 11 11 6 7 9 9 3 1 1 2 3 0 3 11 10 7 6 4 1 3 7 8 9 9 10 9 6 4 3 3 3 1 -1 -1 -4 -4 1 6 11 13 10 4 3 9 9 -1 -2 6 9 7 3 3 14 22 15 2 -5 -2 5 5 5 10 10 9 9 7 5 4 5 4 2 2 4 6 6 6 7 13 20 18 8 4 5 7 7 6 6 5 4 4 4 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 5 6 5 6 6 6 6 6 6 5 4 4 4 4 4 4 3 3 4 4 4 3 3 2 2 3 3 4 4 4 4 3 3 2 2 2 2 1 1 1 2 3 4 5 7 8 8 9 9 9 8 7 7 8 9 9 7 6 5 6 7 7 7 7 7 7 7 6 6 5 4 4 4 6 12 15 11 6 3 3 4 5 5 5 5 6 5 -0 -3 2 5 7 7 7 7 7 8 11 14 16 16 15 15 10 5 3 4 5 6 6 5 4 5 4 4 5 5 5 4 3 5 7 8 8 8 9 8 7 7 7 7 6 6 6 7 7 6 6 6 6 6 6 7 8 8 7 6 6 6 6 7 7 8 7 8 7 6 6 5 4 4 5 5 6 6 6 6 6 6 6 7 8 8 7 6 6 7 6 6 6 5 5 5 5 5 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 4 7 9 10 9 3 -2 -2 1 4 7 7 6 8 8 8 7 6 5 3 3 5 7 9 12 14 14 11 7 4 3 3 3 4 5 6 7 9 10 9 5 1 2 8 15 14 7 4 2 1 1 1 2 5 9 10 8 6 3 2 2 3 4 4 3 2 2 5 6 5 4 2 2 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 4 3 3 4 4 4 4 4 4 5 5 6 6 6 6 5 4 5 6 7 7 7 9 12 13 9 7 11 20 28 35 34 20 12 8 -0 -8 -11 -11 -4 1 1 1 2 4 4 5 6 6 6 5 5 6 10 12 11 10 10 11 9 4 4 8 12 11 9 9 10 1 6 13 14 15 13 8 8 5 1 -1 3 9 5 4 13 7 3 1 0 3 5 7 7 9 9 8 6 2 -1 -2 -0 1 3 -2 -2 -6 1 5 6 7 7 5 1 3 10 12 7 3 6 7 3 1 2 14 19 9 -5 -8 6 17 10 4 7 8 8 8 7 5 4 5 6 4 4 5 6 6 6 9 17 20 13 5 3 5 8 8 7 6 5 4 4 5 5 6 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 5 4 4 5 5 5 5 6 6 6 6 7 6 6 6 6 5 5 5 4 4 4 3 3 3 4 4 5 5 6 6 7 6 5 5 4 3 2 2 2 3 3 2 2 1 0 0 1 1 1 2 2 3 3 3 5 6 7 8 8 9 8 8 9 10 10 9 7 6 6 7 8 8 8 8 8 8 7 6 7 6 5 5 5 8 13 16 12 5 3 4 5 5 5 5 5 5 4 -1 -5 -1 5 8 8 7 6 7 8 11 14 17 18 18 16 11 5 3 4 4 5 5 5 7 7 5 5 5 4 4 4 3 4 6 7 8 8 8 8 8 7 7 6 6 6 5 6 7 7 6 6 6 6 7 7 7 8 8 7 6 5 6 7 7 8 8 8 7 6 5 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 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 2 4 6 7 9 8 3 -0 1 4 6 6 6 6 7 9 9 7 6 5 4 2 2 3 5 11 16 18 15 10 7 5 5 5 4 4 4 4 7 10 9 5 1 0 6 14 15 9 3 1 0 0 0 2 7 13 15 13 8 5 3 3 3 4 4 4 3 3 3 5 6 6 4 3 4 5 5 5 4 4 4 5 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 3 3 4 5 5 5 5 6 6 5 4 4 6 7 7 8 12 15 11 6 10 22 31 31 28 23 17 9 6 -3 -10 -13 -10 -3 -1 0 2 3 4 4 5 6 6 6 6 5 6 8 12 14 12 12 18 17 8 2 5 8 8 6 9 12 7 10 9 11 13 11 8 7 4 -3 -4 5 12 13 10 9 9 8 5 2 3 5 6 6 7 6 3 2 4 6 4 -1 7 7 -3 -2 -3 6 10 9 6 2 -3 -2 5 10 6 5 6 5 5 6 8 5 10 14 8 -3 -1 17 24 13 4 5 7 7 7 7 6 6 6 6 5 5 5 6 5 6 12 20 17 8 4 4 5 7 8 8 6 4 5 5 5 6 6 5 5 4 4 5 5 5 5 5 5 4 4 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 6 6 5 4 4 4 4 4 3 3 3 4 5 6 7 8 8 9 9 8 7 7 6 4 3 2 1 2 3 3 4 3 3 4 4 5 5 6 7 7 6 5 4 4 5 6 7 8 8 9 10 11 10 7 6 6 7 8 8 8 9 9 8 8 7 7 6 6 7 7 7 11 17 18 12 4 3 5 5 6 5 5 5 5 4 -1 -3 -1 5 8 8 7 6 7 9 10 14 18 20 20 17 12 6 3 3 4 5 4 6 10 9 6 5 4 4 4 4 4 5 6 7 7 7 7 8 8 7 7 6 6 6 6 6 6 7 6 6 5 6 7 8 7 7 7 7 6 5 5 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 6 7 6 7 6 6 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 6 6 6 6 6 5 4 6 8 8 6 5 5 6 8 8 8 7 7 6 2 0 0 1 5 11 14 14 11 10 9 9 8 6 3 3 3 4 8 11 9 4 2 4 11 14 10 5 1 1 0 1 4 9 14 17 16 11 7 4 3 3 4 5 5 4 4 3 4 5 6 6 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 4 5 5 5 6 5 5 5 4 4 6 8 8 12 15 13 7 9 20 29 30 23 13 7 5 5 8 8 2 -4 -3 -1 -0 1 2 3 4 5 6 6 6 6 7 7 7 9 14 15 11 11 19 21 13 4 4 5 5 4 4 6 13 14 8 7 6 10 10 6 3 -2 -2 4 13 19 13 3 11 15 11 5 4 4 5 5 4 4 2 4 10 17 10 1 14 9 -1 -0 -0 6 12 13 8 1 -4 -1 8 12 3 1 6 8 7 8 10 9 6 17 14 6 12 22 22 11 4 4 7 8 7 7 8 6 5 4 3 5 6 6 5 8 15 20 14 6 4 3 5 7 9 7 5 4 5 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 6 6 7 6 7 6 6 6 6 6 5 4 4 3 3 4 4 5 4 4 5 7 8 8 8 8 8 8 8 8 7 7 6 5 5 4 4 5 6 8 9 9 9 10 10 12 12 12 13 11 9 6 4 4 5 6 7 9 9 10 10 8 7 6 6 7 8 8 9 9 9 9 8 8 7 6 7 7 9 12 17 20 17 9 4 5 5 6 6 5 5 6 6 4 1 -1 0 5 7 8 7 6 8 9 11 15 19 21 22 20 15 7 4 3 4 5 5 5 8 9 7 5 3 3 3 4 5 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 7 8 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 5 6 6 5 5 6 6 7 7 7 7 6 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 5 6 6 5 4 5 6 8 10 11 9 6 5 5 6 7 8 8 9 7 4 2 2 2 2 4 7 8 9 10 12 12 12 9 6 3 2 3 6 10 12 9 5 4 7 10 9 6 3 2 1 3 6 8 8 11 12 10 7 5 3 2 3 4 5 5 5 4 4 4 6 7 6 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 6 7 6 6 5 4 4 3 3 4 5 5 5 5 6 5 4 4 5 7 9 12 17 17 10 7 14 22 24 23 18 9 -0 1 12 20 18 10 2 0 -0 1 2 2 3 4 5 6 6 6 7 8 9 9 12 15 14 10 10 14 17 13 7 2 1 1 4 4 4 13 14 13 6 6 12 11 4 1 1 3 4 9 17 14 1 5 10 7 7 5 3 4 3 2 4 5 6 12 17 13 7 9 5 3 -3 -1 6 12 9 4 2 2 4 9 10 8 8 7 8 8 9 9 9 8 15 10 10 17 21 16 7 3 4 6 8 8 8 9 7 5 3 2 4 7 6 6 9 16 19 12 5 4 4 5 7 8 7 5 5 5 6 6 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 3 3 4 5 5 5 4 4 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 11 12 13 14 13 13 13 14 14 15 15 13 10 7 6 6 7 8 8 8 8 6 6 6 6 7 7 7 8 9 9 9 9 9 9 9 9 9 8 11 17 20 18 13 7 5 5 6 7 6 5 5 6 6 5 2 1 1 4 7 7 7 7 8 9 11 14 15 18 21 21 17 12 8 5 4 4 5 6 6 7 6 4 2 2 2 3 4 5 7 7 7 7 7 7 6 6 6 7 7 6 6 6 6 6 6 6 5 5 5 5 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 5 5 4 5 6 6 6 6 7 7 7 6 6 6 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 4 6 7 7 6 6 5 7 10 14 15 11 7 4 5 6 8 9 8 7 6 5 5 5 3 2 3 4 6 8 9 11 13 12 9 5 3 2 4 8 12 14 12 9 6 7 8 7 6 4 3 5 7 7 4 4 6 7 6 4 3 2 3 4 5 6 6 6 5 4 5 6 7 6 5 3 3 3 3 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 3 4 5 5 5 6 5 5 5 5 5 7 11 14 19 22 16 8 9 12 14 15 18 19 14 7 9 19 21 15 7 0 -2 -1 0 2 3 5 5 6 7 6 6 8 11 13 12 14 14 13 11 10 11 14 14 8 3 1 1 5 10 9 2 0 3 2 10 12 7 3 -0 -0 0 3 8 13 13 9 4 3 4 7 6 3 2 1 2 5 6 5 8 11 11 10 6 5 5 -1 4 2 5 4 1 5 8 9 10 8 6 8 5 1 6 15 10 5 10 8 6 11 15 16 10 4 3 5 6 7 9 9 9 8 6 3 1 4 7 7 5 9 16 18 10 4 4 5 5 7 8 7 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 5 5 6 5 5 5 5 4 4 4 3 3 3 3 4 4 5 5 6 6 5 4 4 5 5 5 5 6 6 7 7 7 7 7 7 9 10 10 10 11 11 12 11 11 11 12 12 11 10 11 11 11 12 13 12 10 9 8 8 7 7 6 5 4 4 5 6 7 8 8 8 9 10 10 10 10 11 12 14 13 12 12 17 19 14 10 9 6 6 7 7 4 2 4 7 7 5 3 1 -1 2 6 7 8 8 9 9 10 8 9 13 18 19 15 11 10 7 6 4 4 6 6 6 5 4 3 2 2 2 3 4 6 7 8 8 8 7 6 6 6 6 7 6 6 6 6 6 6 6 6 6 5 6 6 6 6 7 8 9 7 6 6 5 6 5 5 5 4 5 5 6 7 6 5 5 6 5 5 6 6 6 5 5 5 4 4 5 6 7 7 6 7 7 7 7 6 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 6 9 10 10 7 6 6 9 16 19 17 11 7 6 6 7 7 7 6 5 4 4 4 3 3 3 3 3 4 5 7 10 12 12 8 4 3 3 5 10 15 18 16 10 8 7 7 7 7 6 7 7 6 4 2 4 6 5 3 3 3 4 4 5 6 6 7 7 6 5 6 7 6 4 3 3 2 2 3 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 4 4 4 4 4 5 5 5 5 5 5 7 12 17 23 27 23 10 1 4 6 6 11 16 18 18 18 14 13 7 3 -0 -2 -3 -2 0 2 4 6 6 7 7 7 7 11 15 14 11 10 10 11 15 11 10 17 17 9 4 3 3 7 12 5 -6 -1 5 3 4 4 3 6 5 4 1 3 9 12 12 9 6 7 8 7 6 3 2 2 5 9 7 5 7 9 8 9 6 5 7 15 17 6 2 3 3 8 9 11 11 9 7 5 2 -2 9 19 9 4 7 8 11 14 14 13 7 2 3 5 6 7 10 11 10 9 6 2 0 4 7 6 5 8 16 19 11 5 5 6 6 8 8 6 6 6 7 6 5 5 4 5 5 5 5 5 6 6 6 7 8 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 5 6 6 6 6 5 4 5 5 5 4 4 5 6 6 6 6 6 7 7 9 9 10 9 9 9 10 9 9 8 8 9 8 8 8 8 8 8 9 10 11 10 10 8 6 5 4 3 3 4 5 7 7 7 8 9 10 10 10 10 10 12 14 17 17 15 13 15 16 13 12 12 9 7 7 6 2 0 4 8 8 6 4 -1 -2 3 6 7 8 9 9 9 8 6 5 9 16 21 17 7 5 7 6 5 4 3 5 5 5 4 4 2 1 1 2 3 5 7 8 7 7 7 6 7 7 6 7 6 7 6 6 6 6 6 6 6 6 6 5 5 5 5 7 8 8 7 6 6 6 6 5 5 5 4 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 7 8 8 7 7 6 6 7 7 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 7 11 12 12 9 6 5 7 11 16 17 15 13 11 10 8 7 5 4 3 3 2 2 3 2 3 2 2 3 4 4 5 8 11 10 6 4 4 5 6 11 18 21 16 9 6 5 4 7 8 8 7 5 5 4 4 5 4 3 4 5 5 4 4 4 5 7 8 8 8 7 7 6 5 4 4 3 2 2 3 4 5 5 5 5 5 5 6 6 6 6 5 6 6 5 4 4 4 4 4 5 5 5 5 8 14 18 21 24 23 15 2 -7 0 6 4 8 13 15 20 20 8 -3 -10 -7 -4 -3 -2 -2 0 2 4 6 7 8 8 8 10 15 17 12 8 6 6 8 11 8 7 17 16 7 4 6 6 8 10 4 4 13 16 6 -1 0 3 7 12 15 8 4 5 11 12 8 9 10 7 6 6 3 2 5 7 9 7 5 9 11 8 7 7 3 11 24 18 11 5 -1 1 9 11 9 8 9 10 6 0 1 12 11 8 11 13 13 14 13 13 12 7 2 3 4 6 7 10 12 11 8 4 1 -1 3 6 6 5 8 16 19 13 6 6 6 7 8 8 7 7 7 6 6 5 5 5 5 5 6 6 6 6 7 7 7 8 8 7 7 7 6 6 6 5 5 4 4 4 4 4 5 4 3 2 3 3 4 4 4 5 5 5 6 7 6 6 5 4 4 4 4 4 4 5 6 6 5 6 6 6 6 7 8 9 8 7 7 7 8 8 8 9 9 9 10 10 10 9 9 8 8 8 9 9 8 7 5 3 3 2 3 4 6 8 7 7 8 9 10 10 10 10 10 11 13 15 19 19 15 12 14 14 13 13 13 11 9 6 2 3 8 10 9 7 4 -1 0 5 6 8 8 9 9 8 7 7 5 5 13 24 26 16 5 4 5 5 4 3 4 4 4 4 4 3 1 1 2 3 5 6 7 7 6 6 6 7 7 7 7 7 7 6 6 5 6 6 6 6 6 6 6 5 6 5 4 6 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 7 8 8 7 6 6 6 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 9 2 2 6 9 11 11 11 10 9 7 6 5 5 5 4 5 4 4 4 4 5 6 6 6 5 5 4 5 5 6 6 6 7 7 6 6 7 10 13 12 7 4 2 3 8 12 11 6 3 3 3 5 7 9 9 6 3 2 2 3 3 3 4 5 5 4 3 3 4 5 6 7 7 8 10 12 10 6 4 4 4 4 3 4 4 4 3 4 5 5 6 6 6 7 6 6 7 6 4 3 3 7 18 27 23 8 -0 -1 -4 -1 5 6 5 7 27 31 30 20 10 7 -4 -16 -10 1 1 0 -0 -0 1 2 3 4 6 8 13 17 14 10 7 6 7 10 11 13 16 17 14 10 5 3 9 13 7 2 3 7 9 10 8 5 3 3 8 13 8 -1 2 4 4 8 13 19 17 13 12 10 5 1 2 4 5 6 5 3 7 16 11 6 12 8 4 5 2 1 10 7 -6 -1 10 15 18 12 1 -1 4 7 11 16 18 18 16 15 14 13 11 9 7 4 1 0 2 4 6 9 9 9 8 6 2 -1 -1 4 6 5 7 10 13 12 9 6 6 8 8 8 8 8 7 6 6 6 7 6 6 6 7 7 7 7 7 7 6 7 7 6 6 6 6 5 4 4 3 2 2 2 3 4 5 4 5 4 5 6 6 6 6 5 5 4 4 3 3 3 4 4 4 5 5 5 6 7 6 6 6 6 6 5 6 6 6 6 7 8 10 11 11 11 10 10 10 10 12 14 16 17 19 20 20 18 15 13 11 9 8 8 8 8 8 8 7 7 7 7 8 8 9 9 8 7 7 6 7 11 19 17 11 11 9 8 8 9 11 11 11 11 12 12 12 11 11 9 4 3 5 5 6 7 8 8 8 7 7 6 6 7 7 6 5 9 17 24 24 17 9 5 5 5 4 4 4 4 4 4 3 2 3 3 4 5 5 5 6 5 5 4 5 5 5 6 7 7 7 7 7 7 6 6 6 6 5 6 6 6 6 6 6 6 5 5 5 6 5 5 6 6 5 5 6 6 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 4 5 9 11 10 8 8 8 8 8 7 6 5 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 4 5 6 6 7 7 7 6 7 8 12 14 12 9 5 3 4 9 12 10 7 5 5 7 8 8 7 5 3 2 3 3 4 4 5 6 6 5 3 2 3 4 5 6 6 6 9 12 12 9 7 7 7 7 6 5 3 2 2 3 4 5 6 7 7 7 7 6 6 5 4 3 5 13 23 21 7 -2 -2 -2 -1 5 7 6 3 11 30 20 20 20 1 -10 -10 -9 -5 -1 -1 -0 1 2 3 4 5 5 6 10 14 14 11 10 10 10 9 9 11 9 11 16 12 9 8 8 11 12 6 -0 0 5 2 3 6 9 7 3 5 12 13 5 2 3 6 9 8 11 15 14 12 10 7 5 4 6 7 3 2 5 11 19 5 1 15 14 7 3 -1 3 13 9 -3 4 9 8 8 5 3 2 4 6 11 16 17 16 15 15 14 12 10 7 4 2 2 3 4 5 5 7 9 10 9 5 1 -1 -0 3 6 6 7 8 10 13 13 8 5 7 9 10 10 8 7 7 7 7 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 5 5 4 3 3 4 5 5 5 6 6 5 6 6 6 6 6 6 5 4 4 4 4 4 4 5 5 6 7 8 9 10 11 11 11 10 9 8 8 7 7 7 7 8 10 11 11 11 10 9 8 8 9 10 11 13 15 16 18 18 17 16 15 13 11 10 10 10 10 9 8 7 6 6 7 8 9 9 9 9 8 7 7 7 8 16 17 11 9 8 7 7 9 10 10 9 9 10 11 11 11 11 8 5 4 5 6 6 7 8 8 8 7 7 6 7 7 7 7 6 6 8 15 24 24 16 8 5 4 4 5 5 4 4 4 3 2 3 3 4 3 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 7 6 6 6 6 6 6 5 6 5 6 6 5 5 5 5 6 5 4 5 7 6 6 6 6 6 6 5 5 4 5 6 7 6 6 7 6 6 6 7 7 6 7 7 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 8 10 10 8 5 3 3 4 6 8 8 6 4 4 3 3 4 4 4 5 5 5 4 4 4 4 4 4 5 5 6 7 7 7 7 7 7 9 13 16 15 11 7 4 6 9 10 9 7 7 9 9 7 5 3 2 2 3 4 5 6 8 8 7 4 3 3 3 4 5 5 5 5 8 10 11 10 8 8 10 11 8 5 3 1 0 2 4 5 7 8 8 7 7 6 6 5 4 6 12 15 13 4 -1 -3 -4 -1 5 11 9 5 4 11 10 4 9 16 -10 -24 -23 -13 -5 -1 0 2 4 5 6 7 8 8 9 11 12 11 9 10 13 13 10 9 9 6 11 16 12 6 6 7 9 12 10 6 4 2 -4 -2 6 15 14 10 6 9 11 9 6 8 12 11 5 4 7 7 7 8 10 8 7 10 9 3 1 6 13 12 -0 4 8 3 4 5 5 11 19 18 11 9 7 3 -1 2 3 2 5 9 13 14 13 12 13 13 12 11 8 4 3 3 3 4 5 5 5 7 10 11 9 4 1 -1 -1 2 6 7 7 8 10 14 14 8 4 6 9 11 11 9 7 6 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 7 7 7 8 7 7 6 6 5 5 6 6 6 7 8 9 9 10 12 13 14 15 16 15 15 14 13 12 11 11 9 8 9 10 11 11 11 10 8 8 7 7 7 8 8 9 10 12 13 14 14 14 14 13 12 12 11 10 10 9 8 7 6 6 7 8 9 9 10 9 8 8 8 10 6 8 14 11 8 7 6 7 9 9 9 8 8 8 10 11 11 10 7 5 5 6 7 7 7 7 8 7 6 6 6 6 6 7 7 7 6 6 8 17 25 23 14 7 4 4 5 5 5 4 4 3 3 3 3 3 2 4 4 5 5 5 5 5 5 5 5 6 5 6 6 6 7 7 8 7 7 6 6 6 6 6 6 6 5 6 6 5 5 5 6 6 5 4 5 6 6 7 7 8 8 8 6 5 5 5 6 6 6 7 7 6 5 6 7 7 6 6 6 6 6 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 14 17 16 14 13 10 8 6 5 5 9 11 10 7 4 2 2 3 3 4 5 5 5 5 7 7 8 8 8 7 6 5 4 5 6 9 9 8 6 6 7 8 9 10 12 11 6 3 2 2 4 6 10 13 11 6 2 1 2 5 6 6 8 10 9 8 8 7 6 5 4 4 5 6 7 8 8 6 5 4 6 10 14 11 5 1 1 1 2 4 5 6 7 6 6 6 5 5 7 10 10 5 -0 -2 0 1 1 13 18 10 9 7 8 11 9 1 6 15 8 5 2 5 5 7 9 9 8 8 9 10 11 11 12 12 13 14 14 7 1 1 5 7 5 2 7 16 14 9 6 9 12 8 3 2 8 11 8 4 3 6 6 4 1 -2 -5 1 5 7 10 12 13 15 15 13 11 8 4 2 3 5 4 2 4 13 16 8 3 14 16 3 1 3 4 8 9 8 8 10 8 1 0 7 9 6 8 17 21 16 10 7 6 5 5 5 5 4 3 4 4 4 5 6 6 8 12 13 11 9 7 4 1 -1 2 4 4 6 9 14 14 9 6 5 5 9 11 8 7 6 7 7 6 6 6 6 6 6 5 5 4 3 2 2 2 3 3 3 3 4 4 5 5 6 7 7 7 7 6 6 7 7 7 7 8 9 11 12 13 14 15 16 16 17 18 18 18 18 18 17 16 15 15 15 16 17 17 18 17 16 14 12 11 10 9 8 7 6 6 6 6 6 5 5 4 4 4 4 5 5 6 7 7 7 7 7 7 7 7 8 8 8 7 7 8 9 9 9 10 10 9 7 9 15 13 6 6 8 7 6 6 7 8 8 8 8 7 7 8 10 10 7 5 7 10 12 12 13 13 12 11 10 8 7 6 6 6 6 7 8 9 9 8 7 11 20 25 23 15 8 4 3 3 4 4 4 4 3 4 4 3 3 4 5 5 5 6 5 5 5 5 5 6 6 5 6 6 5 6 7 8 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 6 5 4 4 5 7 10 12 10 7 6 7 7 6 6 7 6 7 6 6 6 6 6 7 7 6 6 5 5 5 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 19 18 15 13 13 14 14 13 13 12 12 8 5 3 2 2 3 4 4 5 6 6 6 7 8 9 10 10 9 7 6 4 4 6 9 10 9 6 4 4 5 4 5 9 11 9 4 1 -0 1 4 8 11 10 7 4 4 6 8 8 6 5 7 8 9 9 7 5 3 3 4 5 7 8 9 8 7 6 6 6 8 11 10 5 2 3 3 2 3 4 5 6 6 5 5 5 6 12 15 7 1 1 2 4 6 8 15 13 7 7 11 16 20 18 7 7 19 24 24 17 13 11 11 11 9 8 7 9 11 11 9 8 11 14 15 13 7 4 4 8 11 9 6 5 9 9 7 5 6 8 8 8 7 7 5 3 4 5 5 2 -1 -5 -5 -2 4 5 8 10 11 11 12 16 17 16 10 5 4 7 7 4 0 4 13 19 11 5 14 16 8 6 6 3 5 -0 0 5 4 1 -1 2 7 6 8 14 20 18 11 6 5 5 5 5 4 3 3 3 2 3 5 6 8 9 9 11 11 9 8 9 9 4 1 0 -0 2 7 9 10 10 10 10 8 6 7 8 8 7 7 8 7 6 6 6 5 5 4 4 3 3 2 2 2 3 3 4 4 4 5 4 5 5 5 6 6 6 5 5 6 7 8 9 10 11 12 14 15 16 17 18 18 18 18 18 17 16 15 14 13 12 12 13 14 16 18 18 18 17 16 14 13 11 9 7 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 7 8 8 8 9 9 9 9 8 8 9 10 10 10 10 11 10 8 8 14 16 8 7 7 6 6 7 7 8 8 8 9 9 8 9 9 7 5 8 14 14 13 13 15 16 16 17 17 15 12 9 8 8 8 9 11 12 11 11 10 11 18 25 26 21 14 9 5 4 4 4 5 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 6 6 6 5 5 6 6 7 7 7 6 6 6 6 6 6 7 6 6 6 6 6 6 6 5 5 5 4 6 8 10 9 7 6 6 7 7 6 6 6 6 6 6 6 6 6 7 7 6 6 6 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 16 15 12 11 12 14 15 15 14 12 9 6 4 3 2 2 3 4 5 6 6 6 7 7 8 8 9 9 9 7 6 5 4 6 9 11 10 7 4 3 4 3 5 8 11 9 6 2 1 1 3 6 9 9 7 7 7 9 10 8 5 2 2 5 8 9 6 3 2 2 3 4 7 8 8 8 8 8 8 7 7 8 8 6 5 4 3 2 2 3 5 6 6 5 5 5 7 12 5 -2 -0 2 4 5 6 7 9 12 11 10 21 30 28 16 4 5 13 16 18 18 14 13 12 12 10 8 8 12 13 11 8 7 8 11 15 12 7 8 11 15 18 13 8 5 4 6 5 4 4 6 12 16 14 9 3 0 1 4 7 4 1 -2 -0 3 3 4 7 11 13 11 10 10 11 11 10 7 5 7 7 2 1 4 9 12 7 2 8 13 12 9 5 8 7 2 7 6 2 -3 -5 1 6 5 8 14 17 11 5 2 4 6 8 7 6 4 4 4 3 3 5 10 12 10 8 7 7 7 7 10 11 9 3 -2 -3 3 7 8 7 8 10 11 10 9 9 7 7 8 8 8 8 7 6 5 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 5 5 5 6 6 6 6 8 10 11 12 13 13 14 15 16 16 17 17 16 15 15 13 12 11 10 10 9 10 10 12 13 16 17 18 17 16 15 13 11 9 7 6 5 5 5 5 5 5 5 4 4 4 4 5 6 6 7 7 7 8 8 8 9 10 11 11 11 11 11 11 11 11 12 11 11 12 12 12 10 10 15 16 11 7 6 5 5 5 7 9 8 8 9 10 9 9 7 3 3 11 16 15 13 13 13 14 16 18 20 21 20 16 13 12 12 12 13 13 13 13 12 12 17 22 25 24 20 14 9 7 5 5 5 5 5 4 4 4 5 6 7 7 6 5 5 4 5 5 5 5 6 6 6 6 6 5 5 6 7 7 7 7 7 6 5 6 7 7 6 6 6 6 6 6 6 5 5 5 5 6 7 7 6 6 6 7 7 6 6 6 6 5 6 6 7 7 7 7 7 6 6 6 6 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 11 8 8 8 9 9 10 9 8 6 5 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 6 6 6 5 6 8 11 11 9 5 3 4 4 6 8 10 10 7 4 4 4 6 7 9 8 8 8 9 10 11 8 3 1 1 3 7 8 5 2 2 3 4 5 6 6 6 6 6 8 10 9 6 5 6 7 7 4 2 2 2 4 5 5 5 5 5 6 7 5 -1 -2 3 3 4 5 6 6 9 15 14 14 26 38 33 12 6 16 16 8 10 14 14 15 15 14 13 11 12 16 15 10 7 7 7 10 14 12 9 9 12 13 18 12 7 4 5 9 6 4 3 7 17 19 13 9 5 4 6 5 8 9 5 1 3 6 7 7 9 12 14 12 9 7 6 6 8 8 5 5 6 2 2 3 6 7 1 -2 3 6 6 6 3 1 1 19 21 5 -3 -7 -4 4 9 11 12 11 11 7 2 2 5 10 11 8 5 6 6 5 4 5 9 13 13 12 8 6 6 6 7 8 10 9 3 -2 1 5 6 6 7 8 9 9 10 12 10 5 4 6 7 7 8 7 6 5 4 3 3 2 2 3 3 4 4 4 5 6 6 6 5 5 5 5 5 6 6 7 8 9 11 13 14 14 14 13 13 13 13 14 13 13 12 11 9 8 7 7 8 8 9 9 10 10 11 14 15 15 14 13 11 10 8 7 6 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 12 11 12 17 20 13 7 6 6 5 4 5 8 8 8 8 9 10 9 5 -2 -1 8 13 12 11 11 11 11 12 13 16 18 19 18 15 13 12 11 12 12 12 13 12 12 14 18 22 23 22 20 18 13 8 5 5 5 5 5 4 5 5 7 8 8 7 6 5 5 5 5 5 5 5 5 6 6 5 5 6 6 6 6 8 8 8 6 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 6 5 6 7 7 7 9 9 7 6 6 6 6 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 8 8 7 7 6 6 6 6 7 7 6 6 6 7 6 6 5 5 5 5 5 6 7 6 6 6 5 5 6 7 7 5 6 10 12 10 6 4 4 5 6 8 9 9 7 6 6 7 8 9 8 6 7 8 9 10 9 7 4 2 2 4 6 7 4 2 4 8 9 8 6 5 4 4 4 7 9 9 6 4 5 7 7 4 2 2 3 4 5 5 5 6 6 6 6 5 5 5 4 4 4 5 6 6 10 14 12 12 19 31 35 26 23 28 19 8 7 11 13 15 17 17 18 17 19 20 14 7 5 5 7 12 15 13 11 10 8 8 13 11 5 4 7 15 12 5 1 6 15 15 9 5 6 9 11 9 10 10 5 3 6 12 13 11 13 12 11 10 7 5 7 9 9 8 6 5 5 5 3 3 6 9 6 4 6 4 1 4 3 -5 1 26 19 1 -3 -7 -1 7 13 20 19 11 7 4 1 3 7 11 11 8 5 6 8 8 7 8 10 12 12 11 9 7 6 6 5 6 7 5 1 2 6 6 4 6 7 8 7 8 9 11 8 4 5 7 6 5 5 6 6 5 4 3 3 3 3 3 3 4 5 6 7 7 7 6 6 6 6 6 6 7 9 10 12 13 14 15 14 13 12 11 10 10 10 10 10 9 8 7 6 6 6 6 7 8 9 9 9 8 9 10 12 12 10 9 9 8 7 6 5 5 6 6 6 6 6 6 7 7 8 9 9 10 10 10 11 10 10 10 10 10 11 11 11 11 12 12 13 14 15 14 13 12 13 14 13 12 11 12 18 24 16 8 8 7 7 4 3 6 7 7 6 7 9 9 5 -7 -6 4 8 8 9 9 9 9 9 9 9 9 9 11 11 10 9 9 9 10 10 12 12 11 12 15 19 20 21 26 27 20 12 6 4 5 5 5 4 5 6 7 7 7 7 7 6 6 5 5 4 4 5 5 5 6 6 6 6 6 5 6 6 7 7 7 6 6 5 5 5 6 6 6 7 6 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 7 7 7 8 9 8 7 6 6 6 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 8 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 11 10 9 8 7 6 5 5 5 5 6 6 6 6 6 7 8 7 5 4 5 8 9 8 6 5 5 5 5 5 6 5 4 5 7 7 6 3 1 3 5 6 6 5 6 8 9 7 4 3 3 4 5 10 14 14 10 7 5 4 4 4 5 6 7 7 7 7 7 7 5 3 2 3 4 5 6 6 7 7 6 6 6 6 5 4 4 5 6 7 11 17 16 9 6 4 12 13 4 -7 -14 -14 -15 -11 0 9 10 10 14 19 22 20 12 6 6 8 6 4 6 6 5 8 6 5 11 9 4 9 12 5 7 12 6 3 4 4 3 1 1 9 12 10 8 7 3 3 6 8 7 6 10 13 7 -2 6 11 10 8 8 9 6 0 4 9 14 15 10 8 5 3 4 11 14 6 2 11 13 9 2 -2 13 21 5 -4 3 11 14 14 9 2 -0 4 9 9 9 8 8 8 9 9 9 10 10 9 7 7 7 6 6 4 4 5 6 4 2 5 8 5 2 3 5 7 7 7 7 7 8 10 10 7 3 -1 -1 1 2 2 3 3 3 3 4 5 6 7 7 7 7 7 7 7 8 9 8 8 8 11 12 13 14 14 14 12 10 9 8 7 7 7 7 7 7 7 7 6 6 5 5 6 7 8 8 7 6 5 5 5 6 6 7 6 6 6 6 6 6 6 6 6 7 8 8 9 9 10 11 12 12 11 11 10 10 10 9 9 8 8 8 8 7 7 7 8 9 10 11 12 12 11 11 11 10 10 9 8 8 12 19 18 9 6 7 7 6 5 5 5 6 6 6 6 5 1 -3 -4 2 5 6 6 7 7 8 8 8 7 6 5 5 4 5 5 6 7 7 8 9 11 12 12 13 15 19 22 23 22 19 15 10 6 5 5 5 5 6 6 7 7 6 6 6 7 8 8 8 7 6 5 4 5 5 6 6 6 6 6 6 6 7 7 7 6 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 6 5 5 6 6 6 6 6 5 5 6 7 7 6 6 5 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 11 19 12 6 4 7 11 16 14 9 2 6 12 18 22 19 13 5 6 9 13 14 13 13 25 27 10 -2 1 9 16 17 15 11 11 12 11 12 12 12 13 14 17 16 15 16 14 12 13 14 15 14 11 9 10 9 14 18 20 18 14 12 14 16 12 9 8 10 13 15 15 15 13 14 17 20 21 18 12 9 10 10 9 8 8 8 8 9 10 11 12 11 11 11 12 13 14 14 14 13 14 15 14 14 12 11 11 11 11 13 14 16 17 16 15 14 13 13 12 12 11 10 10 11 13 14 15 16 15 12 11 10 11 12 13 13 13 13 13 14 15 15 16 16 17 19 20 19 17 16 14 14 15 16 16 15 13 12 12 11 12 13 11 11 11 13 14 14 13 10 8 7 9 12 15 14 12 13 14 14 14 14 13 12 11 10 9 10 10 10 11 12 13 13 13 13 14 15 19 22 23 19 17 15 15 16 19 19 17 15 15 15 16 17 16 17 16 14 14 14 14 15 17 17 17 17 17 15 15 15 15 15 16 17 17 16 13 12 11 13 14 14 11 9 10 12 14 14 15 15 15 15 13 12 11 11 12 12 11 11 13 12 12 12 11 12 14 14 11 9 10 9 9 8 8 10 13 14 13 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 11 10 10 10 10 9 8 7 4 5 10 11 12 13 12 12 12 12 11 11 12 12 12 12 12 11 10 11 11 11 11 12 13 14 14 14 13 12 13 13 13 13 12 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 10 11 12 12 13 12 12 15 19 17 14 14 17 16 14 12 9 8 7 9 12 14 15 15 15 15 16 16 16 16 17 19 22 27 30 30 30 28 24 19 13 10 9 10 11 11 11 12 12 11 10 9 6 7 5 3 1 2 5 7 7 6 8 9 9 9 7 8 10 12 13 14 13 11 10 10 10 11 12 13 12 11 9 8 8 6 5 6 6 7 8 9 9 10 9 11 14 16 15 13 11 11 11 11 12 12 12 12 11 11 10 10 11 11 12 12 12 11 10 10 11 13 12 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 13 8 5 13 18 18 14 12 14 18 4 -3 6 14 21 25 27 16 2 -0 2 8 13 16 18 17 11 4 2 5 9 12 14 15 16 14 14 13 10 9 10 13 16 15 11 9 10 10 14 17 20 20 18 16 15 13 11 10 10 11 14 14 12 11 12 13 13 17 21 21 15 10 7 8 9 9 10 10 9 9 10 12 12 12 11 12 13 14 14 14 13 12 13 14 15 14 13 11 10 10 10 12 13 15 16 16 15 14 14 15 15 14 13 11 10 10 11 13 13 13 13 12 10 11 12 13 14 14 14 13 13 13 13 15 15 16 17 16 16 16 16 16 16 17 17 17 16 14 13 12 12 11 12 13 13 13 13 14 15 16 14 11 8 7 9 11 14 13 13 14 16 15 12 11 9 10 11 12 13 14 13 12 12 14 13 13 12 13 13 15 18 19 20 18 17 16 16 17 18 16 15 15 16 17 16 14 14 15 16 15 14 13 14 15 15 16 16 15 14 15 15 15 15 15 14 15 14 11 9 10 12 14 13 12 12 13 15 16 16 16 17 18 17 15 13 12 12 12 12 12 11 12 13 12 11 11 11 10 9 10 9 8 10 10 10 10 9 11 13 14 14 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 10 9 8 8 8 7 9 11 12 12 12 12 11 11 11 11 11 11 12 11 11 11 10 10 10 10 11 11 11 13 14 14 14 14 13 13 13 13 13 12 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 11 10 10 11 11 11 12 13 13 15 17 16 12 14 19 19 13 9 7 4 5 8 13 14 15 14 15 16 16 16 16 16 17 19 22 28 33 35 33 27 21 13 8 6 7 8 9 10 11 11 9 6 5 7 10 12 10 8 7 8 7 7 8 9 9 9 8 9 9 10 10 12 14 14 13 12 9 10 11 12 13 12 11 9 9 9 8 7 7 6 6 8 8 8 8 8 8 8 10 13 13 13 11 10 11 12 12 11 12 12 12 12 11 10 10 10 10 11 11 11 10 11 13 14 14 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 4 9 7 -5 -0 10 21 23 21 14 17 13 4 2 6 11 16 19 18 13 3 -1 6 12 15 16 15 13 12 12 11 9 7 9 14 18 17 13 10 10 10 12 15 18 18 16 15 15 14 14 14 13 12 10 9 9 10 11 11 11 13 17 20 19 12 7 9 10 11 10 9 8 8 11 13 14 14 13 13 13 15 15 13 11 11 11 13 13 12 12 11 10 10 11 12 13 13 14 15 17 17 16 16 16 16 15 14 12 11 11 12 13 13 12 11 11 11 12 13 15 16 16 16 15 14 15 15 16 16 15 13 13 14 15 15 17 18 19 18 16 15 14 13 13 12 13 15 16 16 15 16 16 17 18 15 11 8 8 10 13 14 15 17 18 15 12 11 10 11 12 13 15 16 15 13 12 14 15 15 13 12 13 16 18 18 17 17 17 15 15 16 16 15 14 14 16 16 16 14 13 14 15 16 16 15 15 15 16 15 14 13 12 13 13 14 14 15 14 12 10 9 10 13 15 14 10 12 14 16 16 16 15 14 13 12 11 11 12 13 13 13 12 12 13 13 12 12 11 11 10 8 7 8 10 11 11 11 11 11 12 13 14 14 13 12 11 10 10 11 11 11 11 11 10 11 12 11 10 11 11 12 11 11 10 10 10 10 9 9 7 7 10 11 12 12 11 12 12 11 10 10 10 11 11 11 11 11 10 10 9 9 10 10 11 11 11 12 14 14 14 14 13 13 13 13 13 13 12 11 10 10 10 11 12 11 11 10 10 10 12 12 12 12 10 10 10 10 10 11 11 12 13 14 15 15 15 15 16 13 8 5 6 8 10 13 14 15 14 14 14 15 16 16 16 16 17 19 23 29 34 35 30 23 16 11 8 8 10 12 13 13 13 12 10 8 9 9 12 14 16 14 11 11 12 12 11 10 7 8 10 10 10 9 11 14 14 13 13 12 11 11 12 13 13 12 11 9 9 10 10 10 10 9 8 8 9 11 8 8 7 7 8 9 10 10 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 12 13 14 15 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 20 14 13 20 15 7 1 5 10 12 14 13 9 5 9 15 16 15 14 12 13 13 12 10 9 9 11 14 17 15 12 9 10 10 10 12 13 12 9 10 13 13 15 15 13 11 10 10 10 10 11 10 10 12 16 21 20 11 7 8 9 9 9 9 8 9 11 14 16 15 14 14 14 15 13 11 10 9 10 11 11 11 10 11 11 11 13 13 14 14 13 14 16 17 17 17 17 17 17 16 15 13 12 12 13 13 12 12 12 13 13 14 15 17 17 17 16 16 16 16 16 14 11 10 10 11 12 14 15 17 18 18 18 17 16 15 14 12 12 15 18 18 16 15 15 17 17 15 12 7 7 8 11 14 17 19 18 15 14 12 12 13 13 13 14 14 12 11 11 13 15 16 15 14 15 17 18 18 17 16 16 15 14 15 16 15 14 13 13 14 15 15 16 15 16 18 18 18 18 18 17 15 14 12 12 13 13 14 14 14 15 13 12 11 13 14 15 12 9 11 14 15 15 14 13 12 11 10 10 11 13 13 14 13 13 13 12 11 11 11 11 10 9 8 9 9 11 14 14 13 12 12 13 14 14 14 12 10 10 9 10 11 11 11 11 11 11 11 11 12 11 11 11 11 12 11 11 10 10 9 8 9 9 10 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 11 11 11 12 12 12 13 14 15 14 13 13 13 13 13 12 12 11 11 10 10 11 10 10 10 10 10 11 11 12 12 12 12 11 10 10 11 11 11 12 14 15 16 16 15 14 12 10 9 8 11 14 14 15 14 14 14 14 14 14 16 15 15 16 17 20 24 30 35 31 22 18 14 12 11 11 11 12 12 11 11 11 10 10 9 10 12 13 14 12 12 14 16 14 12 11 11 11 13 13 11 12 14 14 12 11 11 9 10 11 11 12 12 11 11 11 11 9 9 9 11 10 10 10 11 12 11 8 8 9 10 8 9 10 10 11 11 11 12 12 12 12 11 11 10 10 11 11 11 11 11 10 10 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 9 13 14 13 10 9 14 17 16 14 11 10 10 11 12 12 11 11 12 13 13 11 11 12 12 11 10 9 8 6 5 8 10 11 12 11 11 12 12 12 11 10 10 10 12 15 18 19 15 8 7 8 9 9 9 9 9 9 11 14 16 16 15 14 14 14 11 8 9 9 10 11 12 12 12 13 13 14 15 15 14 14 13 13 13 14 16 17 16 16 17 17 17 14 11 12 13 14 14 13 13 13 14 14 15 16 16 17 17 17 16 16 15 13 12 10 10 10 11 12 13 15 17 18 19 18 17 15 14 12 11 13 16 16 14 13 13 14 16 14 11 8 7 8 11 14 15 16 16 14 13 13 13 13 14 13 13 12 12 10 10 10 12 16 18 17 17 18 19 20 19 18 17 15 14 15 15 15 15 14 13 13 12 14 17 18 19 20 21 22 21 20 18 15 13 12 12 12 13 14 15 15 14 13 13 13 13 13 13 12 13 14 15 15 15 14 13 11 11 11 11 12 12 12 13 13 13 12 11 10 9 11 13 12 11 10 11 12 13 14 14 13 13 14 14 14 14 12 10 9 10 10 11 11 11 11 12 12 12 12 11 12 11 12 12 11 11 12 11 11 10 9 9 9 10 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 10 10 9 10 11 12 11 11 12 12 12 12 13 13 14 13 13 13 13 13 12 12 11 11 11 10 10 10 10 10 11 11 11 12 12 12 13 12 11 11 11 12 12 11 12 15 19 18 15 13 12 12 12 11 12 13 14 14 14 13 14 15 15 15 15 16 15 15 16 17 20 26 32 36 31 23 16 12 12 10 10 10 11 10 10 10 11 12 11 11 13 16 17 15 14 14 15 15 14 14 14 15 14 13 13 12 13 14 16 16 13 9 7 8 10 11 11 11 11 10 9 9 9 8 8 9 9 10 10 12 12 12 10 10 9 10 10 11 12 11 10 10 10 10 11 11 11 11 11 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 12 9 8 10 11 11 12 14 15 15 13 11 10 12 14 16 14 11 8 6 8 13 13 10 7 8 11 13 15 14 13 11 9 10 13 17 18 16 10 5 6 8 8 8 9 9 8 8 10 13 15 15 15 14 12 11 10 10 11 11 12 14 15 15 15 15 15 16 15 15 14 14 13 13 13 13 15 16 15 16 17 18 17 13 9 11 13 14 15 15 14 12 12 13 14 15 16 16 16 17 17 17 16 15 13 12 12 12 12 12 11 12 14 15 17 18 18 16 14 13 12 12 13 13 12 11 11 13 14 13 11 9 9 10 11 13 12 13 14 13 11 12 13 13 13 13 13 11 10 10 9 9 10 14 18 18 18 18 19 20 20 20 18 16 15 15 15 15 15 15 14 14 14 15 16 18 21 24 26 25 22 20 17 14 11 10 11 13 14 16 16 15 13 13 13 13 14 14 13 13 13 14 14 13 12 12 10 9 9 10 10 10 10 10 10 11 11 11 10 10 10 13 15 15 15 14 13 13 13 13 13 14 13 13 13 12 11 10 11 11 11 11 11 11 12 12 12 12 12 13 12 12 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 11 12 12 12 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 11 10 10 10 10 9 10 11 12 12 12 12 12 12 13 13 12 12 12 12 12 11 13 15 18 16 11 8 10 12 12 11 12 12 13 13 13 14 15 15 15 16 15 15 15 15 15 17 19 24 33 36 31 25 17 13 12 12 12 12 13 13 13 13 13 12 11 12 13 16 16 14 12 12 12 11 12 14 15 16 17 18 18 17 16 13 15 18 15 11 9 9 10 9 9 10 10 9 9 8 7 7 9 10 11 10 9 10 11 11 11 11 10 10 10 11 11 11 10 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 12 12 12 11 11 11 10 9 9 8 7 7 7 8 10 10 11 10 11 11 11 12 11 10 9 9 9 9 9 7 6 6 5 4 3 4 5 7 8 9 10 9 8 7 5 4 2 1 0 0 0 2 4 7 10 12 12 12 11 11 12 10 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 3 1 1 1 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 40 40 33 23 14 11 10 7 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 21 30 38 45 51 56 58 55 50 46 40 32 26 21 20 23 24 23 22 21 21 21 19 16 15 14 15 16 15 3 0 1 11 21 23 26 33 55 60 57 56 54 50 43 42 41 40 37 31 26 25 27 31 37 44 56 67 74 80 84 85 78 62 44 35 32 30 27 22 17 12 9 5 2 1 2 5 7 10 16 27 45 69 83 76 58 49 50 48 38 31 35 51 72 88 102 118 134 143 140 128 119 117 118 122 121 112 104 104 109 117 115 96 69 44 26 25 23 24 42 63 55 28 8 8 6 6 7 5 3 8 8 15 29 41 54 73 96 117 135 156 165 160 140 110 83 71 69 63 47 28 15 18 40 76 102 113 121 128 130 128 119 104 86 73 68 64 59 58 67 81 86 95 119 124 124 138 157 179 162 142 126 117 110 98 87 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 11 12 14 14 13 11 10 10 10 9 8 8 8 8 8 10 11 11 11 11 12 12 12 12 10 9 9 9 10 9 7 6 4 4 3 3 4 5 6 7 8 8 8 7 7 6 5 3 2 2 1 1 2 3 5 7 8 8 9 9 10 9 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 4 1 1 2 2 2 2 1 0 0 1 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 8 24 29 24 21 16 11 10 9 6 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 18 27 33 39 43 45 43 40 36 33 27 21 16 14 15 16 14 13 12 11 8 4 0 3 3 5 8 9 7 8 11 16 19 19 17 19 40 54 54 57 59 56 52 52 51 48 43 37 28 24 23 25 30 39 53 68 74 75 79 78 67 47 32 26 27 28 28 27 24 20 15 10 6 4 7 11 13 11 10 14 30 60 87 88 68 48 39 34 27 25 33 52 73 86 96 109 124 133 128 115 107 105 106 114 123 125 118 110 106 108 107 94 77 60 40 23 16 18 10 12 17 2 0 0 0 0 1 0 0 0 0 1 4 7 9 22 42 71 90 117 139 146 139 116 88 76 88 105 94 56 32 37 59 89 116 132 143 154 162 166 158 140 111 83 69 69 72 74 92 114 110 104 113 96 103 136 169 182 171 152 135 123 112 96 85 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 9 11 14 16 15 12 11 10 10 10 9 9 9 9 9 9 10 11 11 12 12 12 13 13 12 10 9 9 9 9 8 6 5 4 3 3 4 4 5 6 6 7 7 7 7 7 7 6 5 4 3 3 2 2 3 4 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 3 2 1 2 2 2 3 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 16 10 6 8 8 6 6 6 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 2 10 19 24 25 26 25 21 16 10 15 14 8 4 0 3 5 5 4 5 5 4 1 0 0 0 0 1 3 10 15 18 20 21 21 18 13 20 39 51 53 56 55 52 55 55 50 44 37 31 28 26 25 28 38 56 73 77 72 72 69 54 36 25 23 25 28 30 29 28 24 18 13 11 12 18 26 27 21 13 11 22 54 89 97 74 45 29 23 19 21 30 49 71 82 90 102 113 122 118 110 105 100 100 108 121 131 129 120 110 103 98 90 82 72 60 48 38 40 30 17 13 6 3 2 2 1 1 0 0 0 0 0 0 0 0 0 6 32 55 83 116 132 137 132 112 88 83 105 119 91 62 62 78 104 128 146 165 180 186 186 173 153 130 84 68 81 99 105 129 149 143 137 105 69 65 103 153 181 179 160 140 125 111 98 92 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 14 11 11 12 14 14 13 12 11 10 10 9 8 9 10 10 10 10 10 11 11 11 11 12 14 13 12 10 9 9 8 7 6 5 5 4 4 4 4 5 6 6 6 6 7 7 7 7 7 6 6 5 4 3 2 2 3 3 4 5 6 6 6 6 6 6 7 7 7 7 7 7 6 7 6 6 6 3 1 2 2 2 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 3 2 2 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 1 6 14 15 10 5 4 3 2 1 1 1 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 10 16 19 22 23 24 24 20 16 22 40 52 55 54 52 57 56 49 41 35 32 31 31 30 31 41 64 83 84 73 68 60 43 27 20 19 21 24 27 28 28 25 20 16 16 21 33 44 44 34 21 14 22 52 90 98 72 38 23 18 16 19 28 44 65 80 90 100 107 114 117 114 108 101 101 107 120 131 129 123 113 104 95 88 84 80 73 62 54 50 45 35 28 20 11 8 8 6 3 1 0 0 0 0 0 0 0 4 22 48 74 91 110 118 125 137 136 113 79 83 114 110 88 86 99 124 141 148 168 182 178 161 134 128 119 86 82 109 138 156 169 179 175 154 122 93 87 115 158 185 185 166 146 131 118 108 106 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 16 16 15 12 11 11 12 12 12 11 11 10 10 9 9 10 11 11 10 11 11 12 12 13 14 14 13 12 11 10 8 7 6 6 6 5 4 3 3 4 4 5 6 6 6 6 7 7 6 6 5 4 4 3 2 2 2 2 3 4 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 2 2 2 3 3 3 3 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 14 18 21 23 24 24 24 21 17 32 53 62 62 60 60 57 49 41 36 34 35 35 34 33 44 69 90 91 80 71 56 36 22 16 13 13 14 16 18 20 22 20 19 23 34 49 59 60 50 34 24 29 53 84 91 68 37 22 16 14 18 27 40 60 80 94 101 103 111 118 117 111 105 104 107 117 126 125 118 111 104 95 89 86 83 78 69 59 52 46 37 29 24 18 18 23 24 15 2 0 1 0 2 1 0 0 10 51 87 110 112 111 106 106 129 147 138 105 88 97 105 96 100 114 135 144 140 145 150 138 110 74 77 107 116 116 124 142 159 172 185 194 189 170 153 154 169 186 194 190 176 160 146 134 124 123 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 12 17 18 16 11 9 10 11 11 11 11 12 11 9 8 9 10 11 11 11 11 12 14 14 14 14 13 14 13 11 10 8 7 6 6 5 4 3 3 3 4 4 5 6 6 6 6 6 5 4 4 3 2 2 2 2 2 2 2 2 3 3 4 4 6 6 6 6 6 6 7 6 6 7 7 7 7 2 2 3 3 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 13 16 17 17 18 18 18 18 27 52 74 77 70 65 59 51 46 43 43 42 38 36 35 47 71 90 92 86 76 56 34 22 15 10 7 5 4 5 8 13 17 22 31 43 56 65 70 65 51 40 39 52 73 83 69 43 24 14 13 19 28 39 57 80 97 103 102 107 115 117 114 110 106 103 106 113 113 106 100 93 87 81 78 75 70 65 59 53 46 39 33 28 26 30 37 42 37 22 14 9 8 15 17 16 13 36 78 108 117 114 107 100 102 118 139 147 139 125 108 101 98 101 111 126 132 132 133 129 113 81 40 35 85 134 144 140 141 151 170 189 206 216 219 213 207 208 207 204 196 186 171 158 150 141 136 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 8 13 17 18 14 10 9 10 10 10 11 13 13 11 9 9 9 10 10 10 11 12 13 14 15 14 13 14 15 14 12 10 8 6 4 3 2 3 4 4 4 5 5 5 6 6 6 6 4 3 2 2 2 2 2 2 2 3 2 2 2 2 2 3 4 5 6 6 6 6 6 5 5 5 5 5 4 2 2 3 4 4 4 4 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 2 4 5 6 6 8 13 18 18 19 24 43 71 84 76 68 62 55 52 52 54 53 48 40 39 52 71 85 89 87 79 58 36 24 16 9 5 2 1 0 1 4 10 21 34 45 55 63 68 70 66 58 54 57 68 76 71 49 26 14 13 21 30 42 59 80 98 107 107 109 112 115 114 111 107 99 93 92 90 85 79 75 71 66 60 56 53 50 48 48 45 40 35 31 30 32 40 50 61 62 59 49 42 52 63 71 67 93 119 123 122 119 109 101 102 114 132 151 161 156 134 112 99 94 94 100 110 124 138 137 122 93 54 33 53 87 104 133 173 194 197 203 212 220 227 227 219 214 210 205 197 188 174 162 155 150 140 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 6 9 14 17 15 11 9 9 9 9 9 10 12 11 10 9 8 9 10 10 10 10 11 13 14 13 13 13 15 15 14 12 10 8 5 3 2 2 4 4 5 5 5 5 6 6 6 6 4 3 3 2 2 2 2 3 3 3 2 2 2 2 2 2 3 3 4 4 5 5 4 3 3 2 2 2 2 2 3 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 12 21 27 30 33 44 66 83 79 68 62 57 55 56 62 67 66 56 50 57 70 78 83 85 78 60 43 30 19 11 6 4 2 0 0 0 2 14 29 41 49 56 62 67 71 72 70 68 68 71 68 50 27 14 13 21 32 47 65 84 100 111 115 116 116 116 115 111 103 92 82 77 73 67 63 61 59 56 48 42 38 34 35 40 40 38 36 33 32 33 40 51 71 90 102 106 98 91 100 107 113 122 125 128 127 126 119 109 107 115 130 151 167 165 147 124 107 92 80 73 79 100 125 138 134 120 94 68 54 49 60 116 182 206 201 199 206 210 207 203 201 200 201 197 190 179 167 157 153 149 137 115 100 nan nan nan nan nan nan nan nan 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 6 5 7 12 14 12 9 8 8 8 8 9 10 11 10 9 8 8 9 9 8 8 8 10 12 12 12 12 13 14 15 14 12 10 8 6 5 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 2 2 3 3 3 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 23 34 43 50 58 70 81 77 64 60 57 56 57 63 74 82 81 71 67 69 74 79 80 73 60 47 35 24 16 10 7 3 0 0 0 0 6 19 33 40 48 57 64 70 76 77 74 71 69 64 50 30 18 17 24 34 48 65 81 95 111 122 124 122 120 117 111 101 86 73 68 65 61 60 61 61 58 54 51 44 36 34 37 40 39 37 39 42 45 49 57 75 100 117 117 108 103 106 115 125 132 133 132 128 124 118 110 108 116 130 147 162 164 151 131 112 90 66 51 52 70 99 125 138 136 123 112 90 68 77 117 168 193 186 177 183 192 190 180 176 180 186 187 182 171 158 149 144 141 132 112 89 nan nan nan nan nan nan nan nan 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 6 11 12 9 7 7 8 8 8 8 10 10 9 8 8 9 9 8 7 7 8 9 11 11 11 11 11 12 14 13 12 11 10 8 8 7 6 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 1 0 0 8 22 33 44 57 68 76 77 69 61 58 56 55 55 57 67 81 91 90 80 71 72 76 77 68 55 42 32 22 16 11 7 4 0 0 0 0 1 8 22 30 36 47 59 69 76 78 76 72 68 65 58 44 31 27 29 35 45 57 70 83 98 115 122 123 121 118 115 107 90 72 63 61 62 67 70 71 70 69 75 72 59 51 50 52 54 52 54 58 61 66 72 81 96 112 109 98 93 95 104 118 128 130 129 126 120 112 104 100 107 122 137 149 153 144 124 102 80 56 39 37 47 69 95 118 125 116 110 104 101 107 126 151 171 166 155 163 179 179 164 157 162 173 180 180 172 160 148 137 132 130 120 89 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 5 5 5 5 8 11 10 7 5 6 7 7 8 8 9 9 8 8 9 9 9 8 7 7 7 8 9 9 9 8 9 11 13 13 12 10 10 9 9 9 8 6 5 5 4 5 5 5 5 5 5 4 3 3 3 3 3 3 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 16 20 20 14 5 0 6 18 27 37 50 64 73 71 63 59 57 56 55 54 52 53 62 74 78 72 64 61 64 65 58 45 30 21 15 10 6 5 2 0 0 0 0 0 2 13 21 25 34 49 63 71 74 72 69 66 67 67 61 50 41 36 34 37 44 53 64 75 90 103 110 113 115 118 116 104 85 70 63 66 74 77 78 80 84 94 96 90 82 78 77 77 76 74 73 74 78 83 88 93 96 93 85 79 79 87 101 113 119 120 121 118 114 112 110 107 110 125 136 133 121 101 77 62 49 39 37 45 57 72 90 100 97 93 97 114 130 139 147 159 153 141 157 178 177 160 148 152 166 181 186 181 173 160 141 133 136 132 103 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 3 4 5 5 5 6 9 11 9 6 6 6 6 7 8 8 8 8 8 9 9 9 8 6 5 6 7 7 7 8 8 7 9 11 11 10 10 9 9 9 10 10 8 7 5 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 10 17 23 28 32 34 30 21 12 10 17 21 26 37 50 62 63 58 57 56 55 55 53 51 47 46 49 48 43 39 36 35 35 34 29 21 13 7 4 3 1 0 0 0 0 0 0 0 6 14 20 25 36 51 60 62 62 59 59 65 72 75 69 58 46 35 28 29 33 40 47 55 66 77 86 95 108 114 109 100 82 71 72 77 77 76 79 89 103 113 115 111 105 97 90 85 81 76 74 76 79 82 88 91 87 79 68 63 70 86 102 110 112 113 112 109 110 114 113 99 104 112 109 96 76 54 43 37 36 46 61 74 83 91 95 91 84 85 106 136 156 165 166 155 140 159 184 184 164 149 147 156 170 182 184 183 175 162 150 146 143 127 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 0 2 3 3 4 4 4 6 10 12 9 6 5 5 6 6 7 8 8 8 8 8 8 7 5 4 4 6 6 6 6 6 7 8 9 9 8 7 7 7 8 9 9 8 7 6 5 4 4 4 4 4 4 4 3 2 2 3 3 3 4 3 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 8 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 1 2 4 6 7 10 16 23 29 32 34 36 37 34 27 22 18 17 18 23 33 46 54 52 52 51 52 54 54 53 49 44 41 34 23 18 14 11 9 11 11 11 8 3 1 0 0 0 0 0 0 0 0 0 2 9 17 21 26 36 45 47 46 43 44 52 65 78 82 74 59 42 26 20 20 23 26 29 32 39 47 57 72 86 91 96 87 81 84 84 81 75 74 85 104 118 127 126 115 100 83 69 63 64 66 67 67 70 76 81 80 71 56 45 48 66 88 102 104 102 100 102 101 107 108 79 74 83 92 89 70 45 31 25 26 41 68 96 113 116 112 104 91 81 92 126 153 169 181 170 150 165 188 188 176 168 165 164 164 166 172 179 182 177 166 156 152 145 140 nan nan nan nan nan nan 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 1 2 2 2 3 5 8 9 7 6 5 5 6 6 7 7 8 8 7 6 5 4 4 5 6 5 4 5 5 5 6 7 8 8 7 6 5 6 6 7 7 6 6 5 4 4 4 3 3 3 2 2 2 2 2 2 3 3 3 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 16 13 3 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 1 2 4 6 7 8 14 21 26 30 34 36 38 40 39 31 19 12 10 11 14 19 29 40 45 46 44 44 48 51 53 52 50 47 42 30 18 11 6 2 1 2 3 4 2 0 0 0 0 0 0 0 0 0 0 0 5 13 17 20 24 29 31 30 27 26 29 39 55 69 73 65 52 34 19 12 10 12 15 17 19 23 29 37 48 62 74 78 83 94 100 99 91 86 92 106 122 132 128 112 86 67 59 55 55 56 56 56 57 59 64 66 60 47 35 34 46 66 84 90 87 86 92 101 107 96 64 52 63 84 98 92 63 36 25 21 25 50 96 126 138 136 132 123 110 109 129 143 156 180 182 173 177 189 193 192 191 192 186 172 159 159 167 173 174 172 165 160 156 152 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 0 0 0 0 0 0 0 1 2 3 4 5 6 6 6 6 6 6 6 6 7 8 7 6 6 6 6 6 6 4 4 4 4 4 4 6 7 7 7 6 5 4 4 5 4 4 4 4 4 4 4 2 1 1 1 2 2 1 1 1 1 1 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 8 9 13 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 2 2 3 2 2 2 2 4 6 8 10 17 23 25 28 31 33 35 37 36 28 14 5 2 3 6 9 14 23 33 37 39 39 40 43 46 48 54 57 59 52 38 26 16 8 3 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 3 9 13 15 16 17 18 16 14 11 10 13 20 29 39 44 44 37 23 11 4 3 6 8 11 15 19 22 26 34 45 59 71 86 104 114 112 110 114 114 119 126 125 115 89 68 67 63 58 52 49 47 47 47 46 46 46 41 34 29 32 46 63 74 75 75 81 95 106 97 69 49 55 84 117 124 99 63 42 29 22 36 86 122 145 153 158 163 160 156 156 152 155 173 189 192 192 192 195 198 200 200 196 183 161 153 159 165 165 167 167 161 160 158 nan nan nan nan nan 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 2 3 4 5 6 6 6 6 6 6 6 7 7 8 8 8 7 6 5 4 4 4 4 4 4 5 5 6 7 7 6 4 4 4 3 3 3 3 4 4 3 3 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 1 1 1 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 1 14 11 19 19 18 14 2 0 0 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 1 2 3 3 4 4 4 3 2 2 4 6 8 11 14 16 17 21 24 26 28 29 27 22 16 8 1 0 0 2 5 10 16 21 29 37 38 38 39 43 52 61 70 71 64 52 38 25 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 9 9 7 5 3 3 1 1 3 5 8 13 18 22 21 11 4 3 5 6 9 13 16 19 22 27 31 38 50 68 89 105 111 116 129 121 109 110 117 122 104 80 78 79 72 60 50 41 39 39 35 32 32 32 30 26 24 32 47 61 68 71 76 87 98 95 76 56 56 85 124 140 130 102 77 55 42 54 89 119 143 163 175 183 186 183 179 168 160 171 189 198 196 190 186 188 191 190 185 178 166 154 158 161 160 161 157 153 153 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 1 2 2 2 2 4 5 6 6 6 6 6 7 7 8 9 8 8 6 5 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 23 29 30 27 16 3 0 0 0 0 0 0 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 1 2 3 3 3 2 2 2 3 5 7 9 11 10 9 10 13 18 20 20 17 18 25 26 12 0 0 0 1 3 5 9 16 30 35 35 35 37 43 53 63 70 74 71 61 47 28 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 2 6 9 6 2 6 11 13 14 16 15 15 19 26 34 39 47 61 79 95 102 102 112 115 107 102 109 117 111 90 82 84 85 78 62 45 34 30 27 23 19 19 20 21 22 26 36 50 61 70 77 82 86 88 84 75 71 91 127 150 149 135 116 97 84 89 104 119 138 160 173 171 176 178 180 178 169 168 182 193 194 186 181 180 182 184 175 170 166 152 153 154 152 147 143 142 144 148 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 4 4 5 5 6 6 6 7 7 8 7 6 6 5 5 5 5 5 5 4 3 2 3 4 4 3 3 2 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 3 2 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 17 28 39 29 33 22 8 1 0 0 0 0 3 6 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 2 3 4 6 7 8 8 6 3 3 6 12 9 6 14 32 42 34 4 0 0 0 0 1 3 7 16 23 28 30 32 35 40 47 56 64 68 66 58 41 20 5 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 1 1 0 5 15 22 23 21 17 13 15 23 34 43 52 63 77 93 99 95 95 110 102 100 103 111 113 100 85 81 84 86 77 59 39 26 21 16 11 9 8 12 18 24 32 43 54 65 76 85 89 94 102 101 100 113 137 156 161 156 146 136 129 126 126 130 140 149 148 146 154 160 170 179 169 160 170 188 195 189 179 173 174 177 171 167 162 150 145 146 144 139 133 131 135 140 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 1 3 3 4 4 4 4 5 6 6 7 6 6 6 5 5 6 6 5 4 2 2 2 2 3 3 2 2 2 2 2 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 29 31 20 39 27 24 12 2 0 0 4 9 12 11 8 7 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 1 1 2 2 3 4 5 7 6 5 1 0 1 1 1 2 14 33 46 46 22 5 1 0 0 0 1 2 5 9 14 20 24 27 29 33 40 48 53 53 50 40 23 8 1 0 0 0 0 0 0 0 0 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 25 30 28 22 17 16 20 28 38 46 53 59 70 76 81 78 79 83 89 96 108 113 105 88 74 72 77 77 68 53 35 21 14 8 4 2 4 12 20 30 38 45 54 66 81 95 108 120 126 130 141 152 162 167 170 171 168 158 150 149 148 146 143 133 124 136 145 160 172 161 155 164 183 192 186 170 154 149 157 162 161 156 143 134 135 137 133 125 123 127 132 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 1 1 2 2 1 2 2 3 4 6 6 6 6 5 5 5 5 5 5 3 2 2 2 2 3 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 1 0 0 0 0 0 1 2 3 3 3 3 3 3 3 3 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 26 20 14 43 28 36 27 11 6 14 22 18 15 13 14 12 8 6 6 5 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 1 1 1 1 2 3 5 5 3 0 0 0 0 0 0 11 27 44 53 42 19 5 1 0 0 0 0 1 2 4 9 14 19 22 24 28 34 38 38 36 31 22 10 0 0 0 0 0 0 0 0 0 0 1 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 23 32 35 31 25 20 21 26 32 36 37 36 39 45 55 60 60 62 69 81 99 111 107 87 65 55 58 64 65 61 48 31 16 7 3 1 2 8 16 24 33 38 43 52 70 92 114 130 141 149 157 163 165 168 173 180 186 180 167 164 159 148 141 144 140 146 146 159 163 158 158 168 181 189 183 160 137 128 140 155 159 152 130 121 123 126 130 125 120 122 126 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 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 1 2 3 5 6 6 5 4 4 4 4 4 4 3 2 2 2 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 2 2 3 3 3 3 3 3 3 4 4 4 4 3 2 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 1 8 22 15 9 29 32 41 32 21 15 30 41 24 16 14 15 15 13 11 10 9 9 8 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 1 2 2 1 0 0 0 0 0 0 7 18 38 56 63 46 19 5 2 1 0 0 0 0 0 1 4 10 15 18 20 23 26 27 27 24 20 12 1 0 0 0 0 0 0 0 0 0 0 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 18 33 41 41 33 25 22 24 25 27 27 25 26 27 35 44 47 48 53 67 89 107 107 85 57 44 42 47 53 55 52 42 23 10 5 4 5 10 15 19 27 32 34 40 56 82 107 127 143 154 162 165 165 169 171 174 182 181 172 166 156 138 131 138 144 143 148 155 157 155 159 167 175 182 180 161 135 123 134 154 159 148 123 111 114 122 127 126 119 117 116 116 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 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 1 3 4 4 4 2 2 2 2 2 3 4 3 2 2 2 2 2 1 1 2 2 2 2 2 3 2 2 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 3 3 3 3 4 4 4 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 16 11 11 27 33 40 35 35 29 38 50 43 24 18 18 17 16 15 14 14 12 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 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 3 14 30 46 66 70 41 16 10 9 8 7 6 4 1 1 0 3 9 13 16 18 19 21 21 20 18 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 29 43 46 40 32 26 21 19 16 16 17 18 20 22 24 24 25 31 45 67 91 102 91 63 45 38 37 37 40 44 44 31 18 11 11 13 17 18 19 23 28 32 35 44 63 86 108 126 142 155 162 165 166 165 163 165 165 161 155 142 127 126 130 131 128 133 141 148 153 158 160 162 168 169 159 142 130 135 152 155 139 116 103 104 114 122 122 116 112 108 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 0 1 1 2 2 2 2 2 2 2 1 1 1 1 1 0 1 2 2 2 3 3 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 4 14 13 11 15 29 30 35 36 49 48 49 56 51 35 25 24 22 15 15 17 16 14 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 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 2 10 24 36 51 70 62 36 22 18 17 17 16 13 10 6 4 6 8 9 13 17 18 18 16 14 14 12 7 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 2 8 21 34 41 40 36 31 25 19 14 9 7 8 8 9 9 7 7 10 20 35 58 81 91 80 62 47 39 34 32 35 38 34 25 19 19 22 24 23 21 22 27 31 34 39 48 63 79 98 117 137 156 165 162 157 151 151 153 154 149 139 134 137 136 128 122 123 131 142 154 161 158 156 159 162 158 148 138 139 146 144 128 109 95 92 101 113 116 111 106 103 95 88 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 1 2 2 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 11 14 25 33 29 32 40 53 56 59 57 50 38 27 27 27 20 15 17 17 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 18 28 38 56 71 62 42 30 24 21 19 16 15 14 10 10 11 10 11 16 18 17 14 10 8 7 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 1 4 7 15 22 28 31 30 28 25 21 16 9 4 2 2 1 0 1 1 1 6 14 26 47 72 82 77 64 51 43 39 39 39 37 31 26 25 29 31 27 23 22 25 29 31 36 43 52 60 74 91 110 132 151 157 155 148 144 150 156 156 153 155 160 156 142 132 132 135 143 158 164 161 157 161 162 157 149 142 137 136 130 117 102 90 86 93 108 112 105 103 103 97 89 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 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 0 0 0 0 0 0 0 0 2 7 8 18 34 40 37 41 44 46 46 51 55 42 32 28 30 31 26 17 17 17 13 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 7 6 3 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 20 27 39 62 78 69 50 34 25 20 14 8 8 13 20 20 14 12 13 14 11 11 7 6 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 1 1 0 0 0 0 0 0 1 4 8 12 16 19 20 20 18 15 14 11 7 3 0 0 0 0 0 0 0 2 6 13 24 42 61 74 75 68 59 53 50 48 46 42 38 34 34 35 32 26 23 24 27 29 35 46 54 60 65 73 86 104 126 144 155 155 152 154 160 162 161 166 176 174 158 148 147 148 154 165 167 161 155 155 156 153 144 136 128 123 119 108 97 90 88 94 104 104 100 102 106 106 99 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 3 2 2 1 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 1 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 35 42 37 29 29 28 32 34 36 32 30 32 33 33 29 24 18 16 13 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 7 7 5 3 2 2 2 4 4 3 2 1 0 0 0 0 0 0 0 0 0 2 4 6 9 9 8 9 10 6 3 1 1 0 0 0 0 0 0 0 0 0 0 1 4 11 18 24 42 68 81 73 52 33 23 17 11 7 11 23 27 23 13 13 11 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 2 4 2 1 2 6 5 4 2 1 0 0 0 0 0 1 4 8 11 14 15 14 10 6 4 3 2 1 0 0 0 0 0 0 0 1 2 6 14 24 38 55 69 76 73 66 60 58 58 59 59 55 47 42 38 31 26 26 29 31 34 44 59 69 71 69 71 79 98 121 140 152 156 159 161 162 160 164 177 178 169 159 153 154 162 169 168 159 149 147 148 144 135 125 116 109 102 91 84 84 86 88 91 92 94 100 108 113 110 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 7 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 23 30 26 17 16 13 17 21 25 31 29 33 34 33 30 28 19 15 14 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 6 6 6 4 3 3 4 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 1 4 6 10 16 20 20 19 15 10 7 4 2 0 0 0 0 0 0 0 0 0 0 1 4 10 15 23 39 61 74 70 52 32 24 19 14 13 20 26 23 14 13 12 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 3 13 16 9 5 7 9 8 7 5 3 1 0 0 0 0 0 3 7 10 11 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 24 37 53 68 76 76 70 68 70 75 81 83 73 62 53 42 34 32 33 32 31 40 57 72 79 77 73 72 79 94 112 130 144 152 155 157 158 158 170 173 172 162 150 147 156 163 161 152 143 139 137 130 122 112 103 94 85 70 66 73 77 80 82 84 88 95 105 113 115 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 22 16 14 14 14 12 8 3 1 0 0 0 0 0 0 0 0 0 0 0 2 5 8 8 7 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 1 1 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 4 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 16 11 1 2 0 4 15 24 28 26 31 32 31 28 27 19 13 13 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 2 0 0 0 0 0 0 0 0 1 2 3 4 6 12 20 24 23 17 13 11 9 6 4 1 0 0 0 0 0 0 0 0 0 1 3 7 12 18 30 47 64 70 55 37 28 24 22 23 25 21 15 15 13 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 1 13 22 23 12 7 6 9 10 8 6 5 3 1 0 0 0 1 3 6 8 4 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 2 6 14 24 36 51 64 73 78 78 81 88 96 100 95 86 78 65 52 42 34 27 22 24 37 57 73 80 80 76 73 75 84 101 120 132 138 144 150 154 165 169 168 161 148 140 141 144 142 136 131 129 129 125 113 99 87 79 65 51 53 62 69 75 79 80 82 87 95 105 110 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 30 25 24 25 26 23 18 10 3 0 0 0 0 0 0 0 0 0 0 0 1 7 12 13 15 14 11 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 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 0 2 10 23 26 23 23 23 22 20 18 15 12 14 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 5 5 5 5 6 6 6 6 6 5 5 4 3 1 0 0 0 0 1 1 1 2 2 3 3 3 6 14 23 23 18 14 12 11 10 8 5 2 0 0 0 0 0 0 0 0 0 0 2 5 9 13 21 37 60 73 62 46 35 31 30 30 28 20 18 16 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 19 31 27 16 10 14 14 10 7 6 6 5 0 0 0 0 1 6 10 5 0 1 4 4 2 0 0 0 0 1 6 8 6 3 0 0 0 2 6 13 25 35 47 57 66 75 83 93 100 102 97 97 94 83 68 51 37 25 17 13 16 30 49 68 81 83 78 70 69 76 90 103 114 124 134 146 156 163 165 161 151 138 132 129 123 117 114 112 111 104 96 83 69 58 49 42 46 56 68 77 81 79 78 78 83 90 95 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 55 43 37 40 43 39 30 18 9 2 0 0 0 0 0 0 0 0 0 0 0 4 12 17 18 17 16 13 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 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 17 22 20 15 13 13 14 14 14 13 14 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 4 5 5 6 7 7 7 6 6 5 5 5 4 2 2 2 2 3 3 3 3 3 3 3 3 4 4 9 18 22 19 16 16 15 13 11 9 6 2 0 0 0 0 0 0 0 0 0 0 1 4 7 10 15 29 57 76 72 54 42 39 38 36 28 23 19 16 11 4 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 27 38 37 29 24 21 16 9 5 6 7 5 1 0 0 1 6 9 5 1 6 15 14 8 4 2 1 3 7 10 11 10 6 1 0 0 0 2 3 12 22 32 41 45 56 70 82 93 99 95 95 93 83 70 54 41 31 23 17 14 15 28 47 68 83 88 83 76 70 69 75 85 97 113 130 144 152 155 156 152 138 128 119 111 102 97 91 87 84 78 69 58 49 44 42 46 57 69 78 82 80 76 72 71 73 73 68 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
79 73 64 54 52 55 53 44 28 16 7 2 0 0 0 0 0 0 0 0 0 0 2 9 17 18 17 16 14 12 10 8 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 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 20 17 12 10 11 14 14 14 14 15 14 9 2 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 7 8 8 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 7 13 19 17 16 19 20 19 16 14 10 6 3 2 1 0 0 0 0 0 0 0 0 0 2 4 6 11 20 49 74 79 62 50 45 41 36 28 21 17 13 6 1 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 15 31 46 47 41 33 24 13 4 3 6 7 3 0 0 2 4 5 2 2 13 19 15 11 9 8 7 8 9 8 7 8 8 3 0 0 0 0 0 1 10 19 29 36 43 54 66 80 91 95 93 85 75 63 50 40 33 29 24 22 23 28 42 62 80 93 98 97 87 74 65 66 75 89 108 125 135 134 142 144 137 126 115 104 94 85 74 66 65 65 61 53 47 44 44 48 58 67 71 75 75 74 67 61 56 50 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
44 56 64 61 59 60 61 58 46 30 17 8 2 0 0 0 0 0 0 0 0 0 0 5 12 15 14 13 11 10 8 9 9 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 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 19 16 11 10 12 15 15 14 14 15 15 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 6 7 8 9 9 8 8 7 6 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 5 8 13 13 13 17 22 23 22 20 17 13 10 8 6 4 2 2 1 0 0 0 0 0 0 1 2 4 8 17 36 61 71 62 54 48 41 33 24 18 14 10 4 1 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 19 37 49 53 48 40 29 11 3 4 8 5 1 0 0 1 2 1 4 16 20 13 10 11 13 12 9 4 2 1 5 10 5 0 0 0 0 0 0 2 6 16 28 36 44 53 65 78 86 84 76 69 60 50 42 33 27 26 26 31 36 47 67 84 92 101 108 106 96 82 70 66 70 84 102 114 121 128 134 134 126 116 103 92 79 64 52 48 49 50 48 47 45 43 45 53 60 59 62 63 65 58 48 39 32 24 19 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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46 35 18 4 0 3 24 58 75 74 71 69 59 45 39 39 44 55 64 68 70 68 64 63 64 61 55 55 59 58 60 67 65 57 48 43 36 28 24 30 51 78 82 70 56 41 29 16 10 13 18 21 23 23 20 14 13 22 33 30 19 7 1 0 0 2 7 13 17 14 9 6 6 8 8 7 9 11 12 11 8 6 6 6 6 5 4 3 3 3 3 3 3 4 4 5 5 5 6 6 7 5 2 2 2 2 2 2 2 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 1 1 1 0 0 0 0 0 0 0 1 3 3 2 2 3 5 7 8 8 8 8 7 6 6 6 5 4 3 1 0 0 0 0 0 1 3 5 6 4 2 0 0 0 0 1 3 4 4 5 5 5 6 5 4 4 3 2 3 6 9 10 9 12 15 13 11 8 5 4 4 5 5 6 6 6 7 7 8 8 9 9 8 8 9 10 10 10 9 11 13 16 18 17 13 11 13 17 18 18 15 15 15 16 20 23 25 28 32 35 35 34 32 28 25 22 19 17 18 18 18 20 22 25 25 24 22 20 21 23 26 28 28 27 23 18 14 12 12 13 18 20 16 7 1 1 1 0 0 0 0 0 0 0 0 0 1 3 6 7 8 17 36 54 66 72 78 85 96 108 97 52 24 23 34 45 45 40 34 26 20 17 17 18 17 14 9 7 12 19 23 23 23 28 35 38 37 35 30 23 19 17 16 17 17 17 16 17 19 22 26 30 32 31 26 23 26 30 29 26 23 25 30 33 34 38 47 55 60 60 55 49 39 32 33 35 31 26 23 22 22 22 25 27 28 27 24 19 14 8 8 8 8 9 9 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
60 53 32 10 1 6 29 49 53 53 60 66 60 48 45 45 42 43 52 66 77 81 75 71 68 62 60 61 63 62 62 67 65 58 51 48 45 38 31 36 59 82 85 72 62 56 40 25 17 12 13 14 18 22 21 17 18 28 36 29 16 6 1 0 0 1 5 10 17 21 16 9 6 7 9 9 11 12 12 12 11 9 7 7 6 6 5 4 3 3 3 3 3 3 3 4 5 5 6 6 7 6 3 2 2 2 2 2 2 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 1 0 0 0 0 0 0 0 2 2 1 0 2 4 6 6 7 8 8 7 7 8 8 6 5 4 1 0 0 0 1 2 4 6 8 8 7 4 1 0 0 2 4 4 4 4 5 5 5 6 6 5 4 2 0 2 4 6 6 7 10 10 7 5 4 4 5 6 6 6 6 6 6 6 7 8 9 10 9 10 12 14 14 14 15 16 16 15 14 16 16 13 12 15 20 23 27 28 28 28 31 37 41 43 43 42 39 36 34 31 27 24 23 21 20 19 22 27 31 32 33 32 30 28 28 30 33 33 32 31 30 28 23 20 18 17 17 21 22 19 12 5 2 1 0 0 0 0 0 0 0 0 0 0 0 2 5 9 18 35 51 63 77 94 98 101 111 104 54 26 25 32 38 41 40 36 29 23 20 20 21 23 20 14 10 12 18 24 28 30 34 38 41 41 39 38 34 30 26 19 17 17 17 17 17 18 20 23 29 33 33 31 26 23 29 30 28 26 26 27 28 28 32 43 54 57 57 55 53 47 40 39 41 41 37 34 31 30 30 32 35 36 34 29 24 18 12 9 8 7 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
55 57 44 20 5 10 28 42 41 42 54 66 53 39 41 48 45 37 38 50 66 77 81 78 68 58 65 76 82 83 78 72 68 63 60 57 55 51 44 50 67 74 60 41 36 49 56 42 25 11 7 9 11 15 17 17 21 31 36 28 16 7 1 0 1 2 4 7 14 24 24 15 7 6 8 10 12 14 14 12 12 12 10 8 7 7 6 5 4 4 3 3 3 3 3 3 4 4 6 6 7 5 4 2 2 2 2 2 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 1 2 3 3 4 6 8 8 8 8 9 8 6 4 1 0 1 4 5 5 7 8 8 9 8 6 4 3 4 6 5 4 4 4 4 4 4 6 7 7 6 4 3 4 6 6 6 5 6 6 6 5 5 5 6 7 7 7 6 6 7 9 12 14 15 16 17 20 20 20 21 23 25 27 27 26 23 20 16 13 13 18 24 30 36 40 44 45 46 50 54 57 57 53 47 41 36 32 29 27 28 29 30 33 39 46 49 46 41 38 37 39 42 45 46 46 45 42 36 33 31 29 29 29 28 28 27 23 17 10 5 3 1 0 0 0 0 0 0 0 0 0 0 0 2 8 18 30 41 54 73 97 106 109 117 106 66 37 30 32 36 40 43 42 34 26 24 23 26 28 26 20 14 12 15 21 28 34 39 42 46 47 46 44 44 45 43 35 26 22 20 19 19 20 21 23 28 33 36 37 35 35 36 36 35 35 35 34 30 26 29 39 48 48 46 47 50 50 50 52 52 51 48 44 38 35 35 37 40 40 37 30 24 17 13 10 10 10 8 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
35 52 56 32 12 11 27 46 53 56 63 64 42 26 32 50 55 42 32 35 45 60 72 70 58 44 47 72 93 103 105 98 86 78 76 74 62 53 48 54 71 77 55 23 13 34 62 61 35 14 6 6 5 6 10 17 29 42 43 30 17 8 3 2 4 7 8 7 12 23 27 21 12 7 7 10 12 14 14 14 13 13 12 11 9 7 7 6 6 5 4 3 3 3 3 3 3 4 5 6 7 6 5 4 3 2 2 2 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 1 0 0 1 1 1 3 6 8 8 9 8 8 8 6 3 1 2 4 6 6 7 8 9 9 9 8 7 6 6 7 7 5 5 4 4 4 4 4 6 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 7 8 8 7 7 6 8 11 16 19 22 23 25 26 27 27 27 27 29 33 36 38 42 42 34 23 18 20 26 34 40 44 47 50 52 53 54 54 61 70 72 64 51 42 34 32 34 38 41 45 51 58 60 54 44 38 38 43 50 55 56 56 57 59 57 51 44 40 40 43 46 46 43 34 26 20 14 10 6 3 0 0 0 0 0 0 0 0 0 0 0 2 8 17 24 32 46 68 98 109 114 123 113 77 44 30 29 33 39 46 48 37 25 23 25 28 31 31 25 18 13 13 18 25 34 42 46 51 52 51 50 51 53 53 50 43 35 30 28 28 28 26 27 29 30 33 38 40 42 44 44 44 45 46 44 40 36 35 38 42 44 44 45 47 48 51 56 59 56 53 48 42 39 39 40 40 38 33 27 23 19 17 18 16 16 11 10 11 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
23 42 58 45 20 12 21 39 57 68 70 57 32 18 25 50 65 55 40 35 41 53 59 52 39 27 24 42 71 91 108 111 104 95 88 78 62 48 43 48 65 82 68 33 13 26 58 71 49 21 9 6 2 1 5 17 40 53 45 28 15 9 7 8 12 18 16 12 13 20 25 25 19 11 8 9 11 13 14 15 15 14 14 13 12 9 7 7 6 6 5 4 3 3 3 3 3 3 4 5 6 7 7 6 4 3 2 2 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 3 7 9 9 8 6 6 6 4 1 2 5 7 8 8 8 9 9 9 9 9 8 7 7 7 8 6 4 4 4 4 4 5 6 7 7 7 7 7 8 8 8 8 7 6 6 6 6 7 8 8 8 6 6 8 12 18 22 24 25 28 30 30 29 27 26 25 24 26 30 35 39 44 43 35 32 36 44 50 53 54 55 56 56 56 57 62 71 81 88 87 76 60 48 43 46 49 53 58 61 61 55 42 32 30 37 47 56 60 59 61 63 63 63 61 54 50 51 56 59 59 52 39 28 22 19 15 10 6 2 0 0 0 0 0 0 0 0 0 1 4 9 16 20 24 38 65 101 111 117 127 123 90 50 29 24 26 34 44 48 37 23 20 23 26 29 31 28 21 14 12 15 20 29 40 46 50 52 53 53 55 58 58 55 50 44 40 39 40 42 43 43 39 34 31 36 42 46 49 49 47 48 50 50 48 48 48 46 44 48 53 54 54 52 54 58 60 58 53 48 44 42 42 40 36 31 27 25 24 24 25 25 23 19 13 12 14 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 26 43 50 38 24 20 30 46 61 71 61 35 16 20 41 65 70 60 52 56 62 57 44 30 20 16 23 37 48 57 75 90 96 92 85 70 54 43 43 54 72 75 57 31 28 50 67 56 34 17 10 6 3 6 14 31 39 34 24 14 10 10 13 19 24 24 21 19 20 22 24 26 19 10 8 10 12 14 15 16 15 14 15 15 13 9 7 7 7 6 5 4 3 3 3 3 3 3 4 5 6 7 7 6 5 3 2 2 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 1 1 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 2 4 8 10 9 7 5 4 4 3 1 4 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 5 4 4 4 4 5 6 7 7 6 6 7 7 7 7 6 5 4 4 5 6 7 7 7 6 7 8 11 17 22 25 24 25 28 29 25 21 19 19 19 20 22 23 25 29 34 39 42 45 49 55 58 57 56 55 54 51 47 46 47 51 60 72 85 90 85 75 69 69 67 65 64 63 58 44 31 28 33 42 53 64 68 69 70 71 72 73 72 70 66 65 65 63 59 52 39 30 24 22 20 16 11 7 3 1 1 1 0 0 0 0 1 4 9 12 16 18 22 34 60 95 114 123 130 127 103 66 38 26 23 26 35 40 36 25 21 21 22 24 25 25 21 15 11 12 16 25 37 47 50 52 53 54 57 60 60 59 54 49 46 46 47 48 50 53 52 46 38 35 37 44 51 52 47 47 51 52 52 55 57 56 56 57 59 61 61 56 55 58 62 61 56 52 49 48 47 42 35 29 26 27 29 30 31 31 26 20 14 13 15 17 17 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
5 12 27 49 58 51 40 38 42 52 72 90 65 30 17 28 51 71 76 74 74 72 62 49 38 29 22 20 24 28 30 36 51 71 82 94 90 73 55 42 41 56 72 76 66 54 54 59 55 49 38 24 15 10 9 12 15 18 23 23 14 10 10 13 18 22 22 22 23 24 23 22 25 28 18 9 9 12 14 15 16 17 16 16 16 15 13 8 7 7 7 7 5 4 3 3 3 3 3 4 4 6 6 7 7 7 4 3 2 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 1 2 1 0 0 0 0 0 0 0 0 0 2 3 1 0 0 1 3 5 8 9 8 6 4 4 4 3 3 7 9 10 9 8 8 7 8 8 8 8 8 8 7 6 5 5 5 5 5 4 5 5 6 7 6 6 6 7 8 7 6 4 3 1 2 3 4 5 6 7 8 10 12 16 22 27 26 23 24 26 23 17 12 11 11 12 15 18 20 22 25 29 36 41 44 44 43 43 40 35 29 24 21 19 16 11 11 18 30 48 69 86 91 90 85 75 63 54 47 41 35 34 39 47 53 58 68 74 77 77 78 79 81 82 82 83 80 70 58 53 47 37 30 24 22 21 19 16 12 9 8 8 6 3 1 0 0 3 10 16 18 20 21 27 35 53 82 111 131 137 128 108 77 49 34 27 24 26 29 30 27 24 23 22 20 20 21 19 14 9 8 12 22 35 46 51 52 53 55 58 60 61 61 60 55 52 51 50 49 49 51 54 53 49 41 32 34 47 53 47 45 49 51 49 50 54 58 61 61 60 62 62 56 51 54 60 62 61 61 60 58 54 46 36 30 29 32 34 35 34 31 27 21 15 13 14 16 17 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
4 9 18 41 71 79 70 58 48 48 65 94 94 65 37 28 42 67 78 78 75 70 62 53 45 37 29 23 20 21 22 21 26 39 57 81 98 92 72 48 33 40 60 79 90 91 82 73 66 61 57 41 25 17 14 12 12 14 19 23 17 11 11 12 15 17 18 20 23 25 25 24 24 28 26 14 8 10 13 14 15 16 16 16 16 16 15 13 9 7 7 7 6 5 5 4 3 3 3 4 4 5 6 6 6 7 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 2 4 3 1 0 0 2 4 6 8 9 8 5 4 4 4 4 7 9 10 10 9 8 7 7 8 9 9 8 8 7 6 5 5 5 5 6 6 6 6 7 6 6 6 6 7 8 8 8 7 5 4 2 3 4 4 5 7 10 13 15 18 23 28 29 23 19 20 20 16 10 8 7 6 7 10 12 16 18 21 25 31 32 29 24 19 14 12 9 6 4 3 2 1 0 0 1 4 11 25 49 72 83 79 62 47 37 29 28 34 44 53 58 58 55 58 62 68 71 72 69 64 60 60 64 62 53 44 42 39 31 24 21 16 16 17 17 17 17 19 18 13 6 2 0 1 7 16 22 26 27 29 34 39 46 65 96 127 144 138 112 77 53 39 32 27 24 23 23 24 26 28 27 24 22 23 18 12 8 5 8 18 31 42 48 51 52 54 57 60 62 63 63 61 58 55 52 50 50 50 50 51 53 49 37 30 38 48 51 51 50 46 41 36 40 50 57 57 56 58 59 55 52 51 55 60 62 64 64 63 60 50 40 33 32 35 38 37 34 30 27 22 16 14 15 16 16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
6 11 18 40 78 92 83 67 51 44 52 68 86 92 85 75 77 81 78 70 65 63 58 50 39 28 23 20 16 14 14 14 16 21 31 50 76 90 83 61 37 32 46 69 92 108 108 95 82 71 60 49 36 25 19 15 14 16 19 22 20 16 15 14 14 15 15 17 20 24 26 26 25 27 28 21 11 8 11 14 15 16 16 16 16 16 15 14 11 8 7 7 7 6 6 5 4 3 3 3 4 5 6 6 6 6 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 1 2 1 0 0 0 0 0 0 0 0 4 4 3 1 1 2 4 5 7 9 8 6 4 4 5 5 6 8 10 10 9 8 8 7 7 8 8 9 8 7 6 6 6 7 7 7 6 6 6 6 5 3 3 4 6 8 8 8 8 8 8 6 6 7 9 11 12 15 18 21 23 26 29 29 25 17 13 12 11 9 8 8 7 6 6 7 8 10 12 15 18 21 19 13 7 4 1 0 0 0 0 0 0 0 0 0 0 0 1 4 13 37 55 57 46 36 27 21 23 35 53 60 53 45 38 38 42 47 50 50 44 34 24 22 23 22 24 29 31 29 23 18 15 12 10 11 13 16 21 23 20 13 5 1 0 3 10 19 26 32 36 39 41 42 43 52 74 105 135 143 123 83 55 42 34 29 26 23 22 22 25 28 30 30 30 32 25 14 6 3 5 13 25 36 45 50 52 53 55 56 59 61 62 63 61 58 55 52 52 53 52 50 52 52 48 44 44 48 54 57 56 50 41 31 33 45 52 49 49 51 53 53 53 54 56 60 64 65 65 64 63 54 47 40 38 38 38 36 33 31 28 21 15 16 17 17 17 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 22 42 68 86 96 89 71 55 46 42 39 48 68 91 108 112 99 80 68 62 63 62 55 44 32 25 20 16 11 8 8 9 11 13 20 42 64 75 74 61 44 40 54 79 101 104 93 78 64 52 48 44 38 27 18 14 15 17 20 22 22 21 19 16 15 15 18 21 22 23 24 25 26 27 26 17 8 8 11 15 15 15 15 16 16 15 14 12 10 8 7 6 6 6 6 4 3 3 3 4 5 6 5 5 6 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 1 1 1 2 1 0 0 0 0 0 0 0 1 4 4 3 1 2 4 5 6 8 9 7 4 3 6 7 6 6 9 10 9 9 8 7 6 6 7 8 8 7 6 6 7 8 8 8 6 4 4 3 2 1 1 2 4 7 8 8 8 8 9 11 12 16 19 22 24 26 28 28 28 28 28 27 23 17 11 8 6 6 8 9 9 7 5 4 5 6 6 6 8 10 12 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 30 36 34 29 24 19 22 37 53 48 33 22 18 20 26 30 29 26 22 13 5 2 2 5 10 20 23 20 16 14 12 10 9 8 9 12 15 16 13 7 1 0 1 5 12 19 28 37 43 46 45 42 40 43 54 76 108 131 121 94 63 46 37 32 29 28 26 25 26 27 29 31 35 39 34 20 6 1 2 6 15 24 34 44 52 53 54 55 55 56 58 59 60 59 56 54 53 54 55 54 53 52 48 47 48 52 57 61 60 56 49 40 41 49 54 55 52 50 50 50 52 55 59 62 67 68 67 64 62 58 54 50 46 42 36 34 33 33 32 22 18 16 17 18 20 20 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
30 55 79 79 76 84 89 80 67 56 48 37 28 30 45 71 95 100 86 77 76 79 79 75 66 53 43 34 27 21 14 12 10 8 6 7 17 33 49 68 84 71 47 38 55 85 98 87 68 48 31 27 35 42 37 24 14 13 14 16 21 24 25 22 16 12 13 18 22 22 21 21 24 24 26 28 24 16 10 10 12 14 14 14 15 16 16 15 13 12 10 8 8 7 6 6 5 4 3 3 4 5 5 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 2 4 4 3 2 3 5 5 6 7 7 4 3 4 8 10 10 9 10 10 9 8 7 5 3 4 5 7 7 7 7 8 9 8 7 4 1 1 1 2 2 2 3 3 4 8 11 11 10 12 13 17 23 29 31 31 31 31 31 31 30 27 23 17 12 8 5 4 4 7 10 12 10 7 5 4 4 5 4 4 3 4 6 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 19 23 24 22 21 20 25 38 41 24 11 7 6 9 13 14 12 10 7 3 0 0 0 1 6 14 14 10 8 8 9 9 8 7 6 7 8 8 5 2 0 0 2 5 10 18 28 37 44 47 45 41 36 35 39 52 76 109 114 101 79 59 45 37 34 34 34 31 28 27 27 29 35 40 36 21 7 1 0 1 4 7 12 23 34 45 51 55 54 53 52 53 55 56 55 56 54 53 54 56 55 53 50 46 45 50 56 61 62 56 52 47 48 54 60 65 63 58 53 50 50 53 57 62 67 68 65 62 60 59 59 57 53 45 38 34 34 38 37 30 24 20 20 23 25 26 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
78 104 84 58 55 68 79 80 74 68 58 43 32 22 17 26 50 70 77 78 80 81 85 90 91 86 67 54 47 44 41 34 26 17 9 5 6 13 22 42 75 83 60 35 33 53 84 90 72 47 25 14 20 35 44 37 18 12 13 15 18 21 20 17 12 9 11 18 23 22 21 21 22 23 22 24 26 24 18 11 10 12 13 14 15 16 18 17 14 13 12 12 12 10 8 6 5 4 4 3 3 4 5 6 7 6 3 0 0 0 0 1 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 1 1 1 1 1 0 0 0 0 0 0 0 2 4 4 3 3 4 4 4 4 5 5 3 3 6 10 11 11 11 11 10 8 7 6 2 0 1 4 6 7 8 8 9 9 6 3 2 2 2 3 3 3 4 4 4 5 9 14 16 15 16 16 18 24 28 28 26 24 22 22 22 22 18 12 6 3 3 2 3 6 9 12 12 11 9 6 5 5 4 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 15 15 15 18 22 28 33 36 21 5 2 1 2 4 5 4 2 1 1 0 0 0 0 0 2 5 4 3 2 2 3 3 3 3 3 4 5 5 3 1 0 1 3 5 8 16 25 34 39 41 41 38 34 33 33 42 58 88 113 120 107 84 62 46 40 40 41 38 33 28 27 27 32 39 38 26 10 3 0 0 0 0 1 3 10 23 37 48 53 52 48 49 50 52 51 54 54 53 54 55 55 54 54 50 47 48 53 58 66 57 52 48 47 52 63 73 76 72 64 55 50 50 52 57 62 64 62 58 56 58 60 61 57 48 40 36 38 43 43 38 33 30 29 29 30 31 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
111 107 68 51 52 62 64 65 70 74 69 55 44 38 23 13 20 34 45 50 51 54 62 72 81 82 66 55 52 56 60 56 49 37 22 8 4 6 13 23 51 80 72 45 28 33 58 84 83 60 35 19 17 30 47 47 30 14 10 13 16 17 12 10 9 9 12 18 23 23 22 22 22 20 18 18 23 26 26 20 12 10 12 13 15 17 18 17 16 14 14 16 18 17 13 8 6 5 5 4 4 4 6 7 6 3 1 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 3 5 4 3 4 3 2 2 2 3 3 2 4 8 10 11 11 11 10 9 8 6 3 1 0 0 2 5 7 8 10 9 7 4 3 3 3 4 4 4 5 5 4 4 5 8 12 14 15 14 13 12 14 15 15 14 12 11 10 11 10 8 4 1 1 2 2 3 6 9 9 9 8 7 6 6 4 2 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 12 14 12 12 18 28 36 35 22 4 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 4 4 4 3 1 1 2 3 5 9 16 23 29 32 34 35 35 33 32 33 39 50 72 101 128 134 117 89 63 50 47 46 42 37 33 30 29 31 38 41 32 18 8 3 1 0 0 0 0 0 4 16 30 40 46 48 48 48 48 49 51 52 53 54 54 55 56 57 55 51 49 51 54 64 66 59 52 48 51 63 76 78 76 71 60 55 50 47 47 52 57 57 53 51 54 59 62 59 51 44 41 42 45 46 43 40 40 40 39 37 37 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
100 97 82 71 65 62 52 47 56 69 77 72 62 54 42 26 17 20 25 28 29 33 38 45 50 50 48 42 38 40 46 53 58 55 42 24 13 10 16 20 36 68 87 69 42 30 42 68 82 74 57 43 33 36 50 58 43 21 10 10 14 17 14 12 14 16 18 19 21 22 22 22 22 21 19 17 20 23 26 28 27 21 16 13 14 16 17 17 17 14 14 17 20 20 17 11 7 6 5 4 4 5 6 7 4 1 0 1 2 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 3 6 5 4 3 2 1 0 1 1 1 2 4 7 9 10 11 10 8 7 5 2 0 0 0 0 1 3 5 7 8 7 5 3 3 3 4 4 4 4 5 5 6 6 7 9 11 12 12 11 10 9 9 8 8 7 6 5 4 4 3 2 1 0 1 2 2 3 4 4 4 3 2 1 1 2 2 1 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 11 14 14 14 14 19 28 30 20 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 2 2 1 0 1 3 7 12 18 25 28 28 27 28 30 31 31 32 36 46 61 82 113 139 139 119 86 63 54 52 50 46 41 37 34 34 38 43 38 26 16 11 7 4 1 0 0 0 0 3 10 18 28 42 47 47 51 55 54 51 52 53 54 57 57 58 57 54 52 51 53 60 67 67 61 55 54 63 77 76 74 68 62 60 57 48 39 39 48 51 47 46 50 55 57 56 52 48 46 45 47 47 42 40 44 46 46 45 44 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
87 102 104 94 80 65 50 40 38 49 66 76 76 72 63 51 38 30 27 28 28 29 32 36 36 37 39 38 34 29 30 39 50 58 58 46 31 22 21 22 28 54 88 94 74 51 48 62 75 77 70 64 54 50 58 68 58 39 23 16 17 23 28 29 28 28 26 21 18 18 19 20 21 23 22 21 20 20 20 25 29 29 26 21 16 15 16 16 15 13 14 17 20 21 17 12 8 6 6 5 5 6 7 7 4 2 2 4 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 3 2 1 0 0 0 0 0 1 3 5 7 8 9 8 5 3 2 0 0 0 1 1 1 2 2 3 3 4 4 4 4 4 4 4 4 6 8 10 10 10 10 10 10 11 11 10 10 10 10 9 7 6 5 4 3 2 1 0 0 0 0 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 12 13 12 11 11 12 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 1 2 3 1 0 0 1 3 8 14 20 26 33 34 29 23 21 23 26 27 28 32 41 54 70 93 124 142 143 116 86 67 61 60 58 53 47 41 39 40 44 43 35 26 20 16 11 6 2 0 0 0 0 1 3 5 25 36 42 53 62 64 61 56 53 53 57 59 59 58 58 57 56 57 62 64 63 58 56 54 62 73 78 77 72 66 63 59 48 36 32 42 46 43 43 46 50 52 54 54 54 52 50 48 47 40 39 43 45 44 44 44 44 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
99 113 118 113 101 85 68 55 46 45 58 87 100 96 86 72 55 42 34 30 26 23 26 32 34 36 41 46 46 41 36 37 43 49 56 56 47 34 23 18 25 47 72 83 84 96 78 72 73 71 66 63 61 64 71 81 79 61 46 34 30 35 46 50 47 41 34 26 16 13 14 16 20 24 25 24 21 17 15 18 23 26 30 31 25 17 14 14 13 12 13 17 20 20 17 12 9 8 6 6 6 6 7 7 6 5 4 4 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 4 5 3 1 0 0 0 0 0 0 0 1 2 4 5 4 4 1 0 1 2 2 3 3 3 3 3 4 4 4 4 4 4 4 6 6 7 8 10 12 14 14 14 13 12 12 12 12 11 10 10 9 8 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 4 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 4 10 17 23 30 37 44 50 50 41 28 20 18 19 21 24 28 36 50 66 82 106 136 152 144 115 89 77 75 72 65 57 50 45 43 45 46 44 38 31 25 20 15 10 5 1 0 0 0 0 0 4 15 26 40 57 69 73 68 59 54 54 57 58 59 62 65 64 65 66 65 58 52 51 52 56 63 74 82 85 80 72 64 51 37 33 42 45 42 41 43 46 48 50 56 61 60 58 54 48 42 41 45 47 43 39 39 42 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
112 117 123 122 114 107 101 92 89 93 108 128 133 117 98 75 53 40 33 26 19 16 17 22 27 33 42 51 60 63 59 53 46 40 40 52 56 44 25 15 23 45 59 58 65 86 90 82 74 62 47 39 45 61 79 91 93 79 66 62 58 52 53 55 54 50 42 33 23 12 10 14 18 23 28 27 23 17 13 13 16 22 30 37 33 22 13 11 11 12 13 17 20 19 17 13 11 10 7 6 6 6 7 7 7 6 6 6 6 6 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 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 1 3 3 2 0 0 1 2 2 3 3 3 4 4 4 4 5 5 5 6 6 8 10 11 11 12 13 14 15 15 16 15 13 12 11 10 8 7 6 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 8 21 32 40 49 60 68 73 72 64 49 34 25 21 21 24 33 43 56 72 85 100 124 154 161 136 108 100 99 93 80 69 60 53 50 48 49 51 50 44 37 30 24 18 12 5 2 0 0 0 0 0 2 7 18 40 61 77 81 71 62 56 53 52 55 62 68 70 69 69 66 57 50 48 49 52 57 66 78 89 91 83 72 56 42 38 44 47 44 42 42 44 44 46 53 61 64 61 57 54 48 45 49 53 47 39 38 42 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
116 119 121 117 108 106 109 112 121 134 144 142 128 106 83 59 43 33 27 20 14 12 13 14 17 23 33 47 62 74 74 66 55 40 30 39 56 57 33 15 18 38 53 53 54 68 84 82 69 48 26 16 23 49 74 88 92 88 83 85 88 72 54 48 48 50 47 38 30 20 12 13 18 22 27 26 23 18 14 13 16 23 31 36 34 29 18 11 11 12 14 16 18 18 17 14 12 12 9 6 2 2 5 7 7 7 7 6 6 7 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 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 1 2 2 2 1 1 2 2 1 0 1 1 2 2 3 4 5 7 9 10 11 11 10 10 11 12 12 13 14 14 13 12 10 8 6 5 4 3 2 2 1 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 1 5 16 28 40 53 66 78 87 92 96 91 75 58 47 44 48 58 69 81 92 101 112 131 158 168 147 114 99 107 112 102 86 74 66 60 56 54 56 57 56 52 44 36 29 21 14 8 4 1 0 0 0 0 0 3 20 42 63 77 77 71 64 56 48 46 52 59 68 68 66 64 60 54 49 48 51 56 62 72 85 91 88 81 67 53 47 49 50 46 44 44 43 42 42 47 57 61 55 52 57 56 49 50 56 51 44 41 42 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
118 114 109 103 94 87 88 95 110 128 130 115 97 78 62 50 42 34 27 22 18 17 16 15 15 17 25 38 54 67 66 63 58 46 30 30 50 65 50 20 10 27 48 58 62 66 66 60 48 32 17 11 19 50 72 77 78 83 88 93 97 87 58 40 33 39 46 43 34 24 16 15 18 21 25 27 24 22 20 17 15 18 25 31 30 28 23 10 11 13 14 15 16 17 17 16 15 14 12 7 1 2 5 7 7 7 7 7 7 5 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 3 3 3 2 0 0 0 0 0 0 2 4 7 10 13 13 10 7 6 6 7 8 9 10 11 10 8 6 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 17 29 43 58 75 92 109 121 122 112 98 91 90 89 93 103 114 120 126 142 162 174 161 130 110 111 119 120 105 92 82 75 70 65 62 62 62 61 57 50 42 34 24 17 12 8 4 1 0 0 0 0 7 22 41 59 68 72 72 66 53 40 40 44 57 63 64 64 65 64 59 53 51 54 59 67 80 87 86 84 78 68 61 60 59 54 52 50 44 41 37 41 53 59 52 46 53 57 50 47 52 52 48 46 45 45 nan nan nan nan nan nan nan nan nan nan nan nan nan
122 110 102 99 93 85 82 82 87 95 101 99 89 77 69 61 54 45 38 35 32 30 25 23 22 22 25 32 40 46 49 51 56 54 38 24 39 64 66 38 15 18 38 59 68 73 68 51 34 26 26 33 49 74 85 76 66 72 82 89 91 84 64 41 30 30 46 51 41 28 20 17 18 20 24 27 28 27 28 25 19 16 19 26 30 30 26 14 11 12 14 14 15 16 17 16 16 16 15 11 9 7 6 6 7 7 7 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 4 3 0 0 0 0 0 1 3 6 10 12 11 8 5 2 1 1 2 3 4 5 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 1 5 14 27 43 64 86 107 124 128 118 107 99 91 88 94 104 113 118 128 147 169 175 154 124 120 116 122 117 108 100 93 87 80 73 67 62 60 59 58 56 50 41 32 24 19 14 8 2 0 0 0 1 4 14 32 49 60 69 72 64 48 38 36 42 51 59 68 74 76 73 63 50 49 53 61 73 82 84 83 81 76 72 73 74 72 69 64 54 45 38 40 51 61 56 50 51 53 46 44 48 52 52 52 50 47 nan nan nan nan nan nan nan nan nan nan nan nan nan
122 117 109 108 106 102 98 92 88 86 88 94 95 94 93 88 77 65 57 54 51 46 38 33 32 33 34 35 36 38 41 46 53 58 47 22 24 54 76 63 35 23 32 52 71 82 80 59 38 32 47 69 86 100 103 84 64 62 73 81 79 73 67 55 44 37 44 52 43 29 22 22 24 26 27 29 29 29 31 32 26 18 17 21 28 31 28 19 10 11 12 14 14 15 15 15 16 17 16 12 8 7 6 6 7 7 7 7 7 6 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 2 4 5 4 3 4 4 3 2 0 0 0 0 1 2 4 5 6 5 3 2 1 0 0 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 1 6 13 25 40 55 65 73 76 69 62 57 57 62 70 81 89 95 111 140 166 162 139 130 115 114 120 121 118 113 104 92 82 72 61 51 48 54 65 71 67 55 41 32 27 20 12 4 1 0 0 0 1 7 22 36 53 67 71 64 50 39 36 39 46 60 77 84 84 73 54 44 44 52 62 72 80 81 81 78 74 78 81 84 84 78 67 55 45 42 50 62 59 61 58 50 42 41 46 53 60 64 63 55 nan nan nan nan nan nan nan nan nan nan nan nan nan
120 125 122 120 118 118 116 111 103 95 89 89 94 98 104 105 100 88 78 72 67 60 52 44 37 36 42 45 44 43 45 49 54 58 51 29 16 37 72 80 62 41 36 45 60 69 75 68 47 38 58 80 94 107 109 90 65 53 60 69 62 56 62 68 62 48 42 47 42 26 22 34 38 38 32 27 29 31 34 35 31 22 18 19 24 29 28 21 13 10 12 14 14 14 14 14 15 16 16 14 11 8 6 6 7 7 7 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 1 0 0 1 1 2 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 1 4 9 15 17 20 22 25 25 25 28 34 43 54 66 73 82 105 134 148 144 135 121 113 119 128 132 131 119 101 87 74 60 45 35 36 53 78 90 86 68 53 42 34 26 17 9 3 0 0 0 1 4 10 28 48 64 71 64 53 44 38 37 43 61 79 86 81 63 44 36 41 50 60 70 77 82 80 76 76 79 83 87 84 77 70 61 46 48 57 60 67 66 54 44 42 46 58 76 84 83 74 nan nan nan nan nan nan nan nan nan nan nan nan nan
104 116 122 124 124 125 126 123 117 109 101 100 100 99 95 92 95 94 88 84 80 75 67 58 47 41 43 49 52 53 54 56 58 59 52 35 19 24 54 77 74 59 47 45 51 59 71 75 54 36 43 61 76 94 100 87 63 47 48 58 48 39 50 70 71 54 40 37 32 24 27 46 45 34 32 28 28 31 35 35 29 23 19 18 20 22 22 19 13 10 12 14 14 14 14 15 15 15 16 15 11 8 6 7 7 7 7 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 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 1 1 2 3 5 7 8 10 12 17 26 39 52 60 63 74 93 115 131 133 123 116 120 131 138 141 131 112 94 78 63 47 33 26 30 50 75 95 96 82 65 50 40 31 22 13 4 1 0 0 0 0 8 25 44 58 64 64 58 50 40 34 43 61 76 83 76 56 39 37 42 50 59 69 79 82 80 77 75 78 83 82 78 79 76 60 48 46 52 58 60 54 49 49 54 64 83 96 96 90 86 nan nan nan nan nan nan nan nan nan nan nan nan
90 100 111 119 124 128 129 128 127 127 128 128 123 117 97 73 64 66 76 88 94 92 89 85 74 61 52 51 56 64 69 65 63 61 54 39 25 24 39 60 70 67 60 56 57 66 76 73 50 30 27 36 50 67 76 74 65 56 56 57 44 29 39 69 79 62 45 37 33 30 34 44 42 28 27 28 28 27 29 29 27 24 20 16 16 17 19 19 14 12 12 13 14 15 15 15 15 14 16 14 10 7 6 7 7 8 8 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 4 10 25 42 48 46 43 47 62 84 108 119 123 131 139 144 146 138 124 106 89 72 55 40 28 21 24 40 65 86 95 88 69 52 43 36 28 17 9 3 1 0 0 1 9 26 45 56 63 68 65 55 42 38 44 57 71 79 75 61 48 42 45 51 63 75 82 83 79 74 74 76 75 74 80 82 68 46 36 40 47 48 46 48 55 59 64 78 94 99 96 90 nan nan nan nan nan nan nan nan nan nan nan nan
93 95 103 113 122 127 131 134 140 149 152 143 135 131 104 62 34 32 51 75 89 94 100 110 114 98 79 67 67 75 84 82 72 62 56 45 36 34 42 54 66 72 71 68 70 75 76 68 49 31 23 24 31 39 45 52 67 76 75 63 43 30 39 69 89 79 62 52 45 37 33 34 32 24 21 24 24 24 25 27 26 23 20 18 17 16 18 19 15 12 12 14 15 16 17 16 15 14 15 13 7 6 6 7 8 9 7 2 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 25 34 32 22 15 18 32 56 89 121 142 155 158 155 148 135 120 104 85 66 51 38 24 19 20 33 53 75 88 86 73 58 48 41 34 26 16 8 3 0 0 2 10 32 47 56 66 70 68 60 51 46 46 55 70 84 85 69 54 47 47 56 70 80 84 81 74 70 71 70 70 78 84 70 43 31 36 43 44 42 45 52 56 58 69 86 96 96 92 nan nan nan nan nan nan nan nan nan nan nan nan
107 104 104 111 118 123 131 136 142 144 137 124 113 110 96 59 27 24 42 61 71 75 84 100 118 120 107 95 92 100 108 104 86 63 53 49 47 49 56 64 71 75 77 75 76 78 79 77 66 47 29 23 23 23 23 30 59 86 88 69 46 36 45 68 90 92 80 61 44 31 25 23 24 22 17 17 19 20 20 22 25 28 26 24 20 18 17 18 17 13 14 15 17 18 17 16 15 14 14 10 6 6 6 7 8 9 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 24 16 4 2 5 15 42 92 128 156 162 160 156 147 135 123 103 82 64 49 35 26 22 24 31 47 68 86 91 82 68 56 49 44 36 25 14 6 2 0 2 15 32 46 57 65 71 72 68 61 53 49 58 75 86 81 68 55 47 50 62 77 84 83 75 67 66 67 67 73 77 67 40 30 36 44 46 43 43 46 51 55 62 77 90 95 93 nan nan nan nan nan nan nan nan nan nan nan nan
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