Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 4 5 6 6 5 5 5 5 4 3 4 4 4 4 3 2 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 2 3 4 4 4 5 4 4 4 3 3 3 3 3 2 2 2 1 1 1 1 2 2 3 3 4 4 3 3 3 4 3 3 3 3 3 3 2 2 2 3 4 4 3 3 3 4 4 5 4 4 4 4 4 4 4 4 5 5 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 3 3 3 3 3 4 4 4 5 5 6 6 6 6 5 5 4 3 4 5 6 7 8 7 6 6 6 7 8 9 9 7 6 6 7 7 6 5 4 1 -7 -8 -1 5 2 2 1 -0 -6 6 10 4 2 7 4 4 11 11 5 5 7 7 9 11 10 10 12 12 8 9 12 15 9 1 3 8 8 10 14 12 5 2 7 7 5 6 6 5 4 2 1 0 -1 0 3 8 8 5 3 6 5 4 4 4 5 5 5 8 12 16 18 15 9 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 6 5 7 10 10 7 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 2 -4 -5 1 3 3 4 4 3 3 3 3 4 4 4 5 5 4 5 6 4 3 2 2 2 3 4 5 6 7 7 6 5 5 5 5 6 6 8 8 9 9 9 8 7 7 7 7 6 5 4 4 4 5 6 6 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 9 12 14 12 10 9 9 9 6 3 1 -5 -8 -3 1 2 7 9 5 2 2 5 4 -3 -9 -10 -8 -6 -1 5 9 11 12 14 15 15 15 17 19 21 21 16 11 9 9 8 8 9 12 16 15 12 12 9 7 10 11 9 8 11 17 21 21 19 14 8 7 7 6 6 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 3 4 5 6 6 6 6 5 4 4 4 4 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 4 4 4 5 5 5 4 3 3 3 3 3 2 2 1 1 1 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 5 4 4 4 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 5 6 6 6 6 7 7 6 5 4 4 4 5 6 8 8 7 7 6 6 7 8 9 9 8 6 6 6 6 6 5 4 -1 -9 -9 -0 4 5 5 5 0 -6 4 4 5 5 7 6 7 13 12 11 12 15 22 22 13 11 14 15 12 7 11 16 18 15 7 6 10 10 7 7 9 7 4 4 6 10 10 6 5 4 3 2 0 -0 1 4 7 6 2 2 7 8 5 4 5 5 5 7 8 10 14 15 11 6 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 4 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 6 7 10 11 7 5 5 5 4 5 5 6 5 5 6 6 6 5 5 5 5 5 5 6 5 2 -5 -5 -1 1 2 2 3 3 3 3 4 5 5 6 6 6 5 6 6 5 3 2 2 2 3 3 4 5 6 6 6 6 5 5 5 6 7 8 8 8 8 8 8 7 6 6 6 5 5 5 4 5 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 11 14 15 15 12 10 11 11 9 10 7 2 2 4 5 8 9 7 6 6 7 5 1 -4 -6 -4 -5 -2 2 5 6 7 9 11 11 12 15 16 18 15 9 6 6 6 5 5 6 11 19 24 20 11 7 10 14 12 9 8 5 3 9 12 12 10 6 8 8 7 5 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 3 3 4 5 6 6 6 6 5 5 4 4 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 4 5 4 4 4 4 3 2 2 3 3 3 4 5 5 6 5 5 4 3 3 3 3 2 3 2 2 2 2 2 3 3 3 3 3 3 4 4 3 3 4 3 3 4 4 4 3 4 4 4 4 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 5 6 6 6 6 6 7 7 7 6 4 3 4 5 6 7 7 7 6 6 6 7 8 9 9 9 7 6 6 6 6 5 2 -5 -12 -8 -1 -0 3 4 9 5 1 3 3 5 6 7 10 12 12 8 8 11 11 12 9 7 7 8 11 6 3 7 12 18 17 12 11 12 13 14 11 9 11 9 5 6 11 8 4 7 7 7 5 2 1 3 6 8 5 4 6 8 9 6 5 6 6 5 5 7 10 13 11 6 4 4 4 4 4 4 3 3 4 4 4 5 4 5 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 6 8 9 8 7 6 6 5 5 5 5 6 6 6 6 7 6 6 5 5 5 5 6 6 6 6 -1 -6 -2 2 2 -0 1 3 4 4 4 5 6 7 7 7 7 6 6 5 3 3 2 2 3 3 3 4 5 5 5 5 5 5 6 6 7 7 8 8 8 7 7 7 6 5 5 5 4 4 5 5 5 6 7 7 6 7 7 6 6 6 6 6 7 8 8 9 10 10 9 10 10 11 11 11 11 13 14 15 13 11 12 12 12 12 10 8 7 7 7 7 8 8 9 9 8 6 4 4 4 4 3 5 6 4 3 4 4 6 7 9 9 9 10 8 6 5 4 3 3 2 2 6 16 25 22 10 6 10 16 15 12 9 4 3 9 10 7 4 5 8 7 6 5 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 8 5 3 3 4 5 6 6 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 3 3 2 2 3 4 4 4 3 4 3 3 2 2 2 2 3 3 4 4 5 5 5 4 4 4 4 4 3 3 3 4 3 3 3 2 2 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 4 3 3 4 4 5 5 4 4 4 5 5 4 4 5 5 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 6 6 6 6 6 7 8 8 8 7 5 4 5 5 6 7 7 7 6 6 6 7 8 9 9 9 8 6 6 6 5 4 1 -9 -18 -10 -2 -2 -1 1 11 11 6 4 8 3 6 9 11 14 12 5 1 1 1 -5 -10 -1 1 3 5 3 2 2 5 13 12 9 11 13 15 16 16 16 17 14 10 10 9 6 7 11 11 10 8 4 1 3 6 7 5 6 9 9 9 7 5 5 5 4 5 8 12 12 8 4 4 4 4 3 4 4 4 3 4 4 5 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 3 4 7 9 8 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 6 6 6 7 7 5 -2 -3 5 7 1 -1 3 4 5 5 6 7 7 8 8 7 6 5 5 3 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 7 7 7 8 7 7 6 6 6 5 5 5 4 4 5 5 6 7 7 7 6 6 6 6 6 5 5 6 6 7 8 8 9 9 9 9 9 9 9 10 11 12 12 11 11 10 9 9 9 8 7 7 7 8 8 7 6 7 8 9 9 8 7 8 9 9 9 9 7 4 3 3 4 5 6 6 7 6 5 5 5 4 3 2 1 1 0 2 10 18 15 8 7 8 11 11 12 10 7 6 8 9 8 5 5 6 6 5 4 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 9 7 4 3 3 5 6 6 6 6 6 6 5 4 5 5 5 5 4 5 5 5 5 5 5 5 6 6 4 3 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 3 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 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 3 3 3 3 4 6 7 6 6 6 7 8 9 8 7 6 5 5 6 7 7 7 7 6 6 6 6 7 9 10 10 8 7 6 5 5 4 0 -12 -24 -19 -5 4 3 5 15 12 6 3 1 -1 6 13 12 10 9 4 2 1 4 -1 -4 1 5 5 2 4 6 3 1 3 5 3 5 9 12 13 13 17 18 15 12 11 8 7 12 15 12 9 8 6 4 6 7 6 6 8 10 10 8 5 4 3 3 4 8 13 14 9 5 4 4 4 3 3 3 4 3 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 0 1 2 5 10 11 6 5 5 5 4 4 4 4 5 6 6 6 6 6 6 6 5 5 6 6 6 7 7 4 -1 3 9 6 1 2 4 5 6 7 8 8 7 7 6 6 5 4 3 3 2 3 4 4 4 4 3 4 3 4 5 5 5 6 6 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 6 6 7 7 7 6 6 5 5 5 5 6 6 6 6 6 7 6 7 6 5 5 5 6 7 7 7 7 7 7 6 6 6 5 5 5 6 7 9 8 6 7 7 8 9 10 11 11 12 12 11 8 5 5 4 4 6 7 7 5 6 6 5 6 5 3 2 2 2 2 1 2 6 10 7 4 5 5 6 6 7 7 7 8 8 7 7 7 5 5 5 4 4 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 7 8 6 4 3 4 5 6 5 5 6 6 6 5 5 5 4 4 4 4 5 6 6 6 6 6 6 7 6 5 4 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 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 3 4 4 3 3 3 4 4 3 3 3 4 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 4 5 5 5 4 3 3 3 4 5 6 7 7 6 6 6 8 9 8 7 6 6 5 6 7 8 7 6 6 5 6 6 7 8 10 10 9 7 6 6 5 4 -0 -11 -26 -25 -5 7 6 8 12 8 6 5 4 5 2 9 10 9 8 3 3 6 8 8 10 9 11 11 4 1 4 3 -2 -6 -3 -1 -1 -1 1 8 8 9 10 9 8 7 4 2 6 9 7 6 5 6 9 9 7 6 8 10 11 9 7 4 3 2 2 5 12 15 11 6 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 3 2 1 0 -0 1 2 8 12 8 4 5 4 4 4 4 4 4 5 6 5 5 6 6 6 5 6 6 6 5 7 8 7 4 2 4 6 4 3 4 5 6 7 9 9 8 7 6 5 5 5 4 3 3 3 4 4 4 4 4 3 3 4 4 5 5 6 6 7 6 7 7 8 7 7 7 6 6 6 6 5 5 5 6 6 6 7 7 7 6 6 5 4 4 5 5 5 5 5 4 4 4 4 3 2 1 1 1 2 2 3 3 4 4 4 4 5 5 5 5 6 8 8 7 8 8 8 10 12 14 14 14 13 10 7 6 5 5 5 6 7 6 4 5 6 5 5 4 3 2 2 3 4 4 3 4 6 6 5 5 4 4 4 4 4 5 8 10 8 6 6 6 6 5 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 nan nan nan nan 3 5 7 6 5 4 3 4 5 5 4 4 5 6 6 6 5 4 4 3 4 4 5 6 6 6 6 7 7 7 7 6 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 3 3 4 4 4 3 4 4 4 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 4 4 5 5 5 5 4 4 3 4 5 5 6 7 7 6 6 7 9 10 9 8 8 7 6 6 7 8 7 6 5 5 5 5 6 9 10 11 10 8 7 6 5 4 1 -7 -20 -20 -5 4 4 6 5 3 6 10 14 12 6 7 7 10 7 0 0 4 6 12 19 13 9 10 5 -1 -1 -2 -4 -7 -7 -4 -4 -10 -9 2 5 2 -0 1 1 1 -3 -6 -3 0 3 3 1 4 10 9 6 6 9 10 9 7 5 4 3 2 3 7 13 13 7 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 1 1 -0 -1 1 5 11 9 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 6 6 7 6 5 6 7 8 8 5 2 2 4 4 3 3 5 7 8 9 9 8 6 6 5 5 5 4 3 4 4 5 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 7 8 8 8 7 7 6 5 5 5 5 5 6 6 6 6 7 7 6 6 5 5 5 4 5 4 3 2 3 3 4 4 3 1 0 0 2 2 3 4 4 5 5 5 6 6 6 6 5 6 7 7 8 8 7 9 11 13 14 14 13 11 9 7 5 4 4 4 4 3 3 4 5 4 4 4 3 2 2 4 6 6 4 3 5 6 7 7 5 4 4 3 3 4 5 6 7 7 6 5 6 6 6 5 5 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 6 6 6 4 4 4 5 5 4 3 3 4 5 6 6 5 4 3 3 3 4 4 5 6 6 6 7 7 7 7 7 6 5 4 3 3 3 4 3 3 4 3 3 4 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 4 4 5 5 5 6 7 7 7 7 9 10 11 11 10 9 8 7 8 8 8 7 6 5 4 4 5 6 8 10 11 11 10 8 7 5 5 3 -2 -10 -14 -9 -1 4 4 1 2 9 14 8 4 6 2 3 8 1 -2 -3 -1 4 11 16 12 9 6 3 1 -1 -1 0 -1 -2 -1 -5 -13 -9 2 7 3 -2 -3 -4 -3 -6 -4 2 2 1 2 -1 3 6 4 5 8 11 9 7 5 4 3 2 3 5 10 13 9 5 3 4 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 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 1 0 1 3 10 12 6 4 4 4 4 4 4 4 4 4 5 7 7 6 5 5 6 7 7 6 5 7 8 9 8 3 -1 1 4 4 4 4 5 6 7 7 7 6 6 5 6 6 5 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 7 7 7 8 8 9 9 8 7 6 5 5 5 6 6 6 6 6 6 6 7 7 6 5 5 4 4 4 3 2 3 3 5 6 5 4 3 3 3 4 5 5 5 5 6 6 6 6 6 6 5 6 7 7 8 7 7 7 8 10 12 13 13 12 10 8 5 3 3 1 -1 -2 -1 2 4 4 3 3 3 2 2 3 6 6 4 2 2 5 6 8 8 5 4 3 3 3 3 3 4 5 5 4 5 6 5 6 6 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 nan nan
nan nan nan nan nan nan nan 2 3 5 6 7 6 5 4 5 5 4 4 3 3 4 5 6 6 5 4 3 3 4 4 5 4 5 5 6 6 7 7 8 8 7 5 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 2 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 5 5 6 7 7 8 9 11 12 13 12 10 9 8 8 8 8 8 8 6 5 4 4 4 5 6 9 12 12 10 9 8 6 5 5 2 -3 -8 -8 -3 3 4 3 3 8 9 5 4 2 -3 1 5 2 1 -0 -3 -1 4 9 8 10 7 2 1 0 2 5 8 10 7 -7 -12 -3 6 10 10 6 1 -0 -1 -2 3 10 9 5 2 2 4 3 1 4 9 10 7 6 5 4 4 4 4 8 13 12 7 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 2 1 1 1 2 7 14 12 8 6 4 4 4 5 5 4 3 4 5 6 7 5 4 5 6 6 6 6 7 8 9 8 4 -3 -1 4 5 5 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 5 6 7 7 7 7 8 9 10 10 9 7 5 4 4 5 6 6 6 6 6 6 6 6 7 6 5 4 4 3 3 3 4 4 4 5 6 5 5 4 3 4 5 5 4 5 5 6 5 6 6 5 5 7 9 10 8 7 6 6 7 8 11 12 12 11 10 8 5 3 2 1 -1 -2 -1 1 4 5 3 3 3 3 2 3 4 6 5 3 2 3 5 6 7 6 4 3 3 2 2 3 3 4 4 4 4 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 nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 1 2 3 6 7 6 5 4 4 5 5 5 4 3 3 4 5 5 5 5 4 3 4 4 4 4 4 5 5 5 5 6 7 7 7 7 6 5 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 2 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 5 5 5 6 6 6 5 6 6 7 8 9 11 12 13 14 12 9 8 8 9 9 9 9 8 7 5 4 4 4 4 5 8 11 12 11 9 8 7 7 6 5 1 -2 -4 -2 3 7 5 3 7 6 4 2 -2 2 6 4 5 8 7 -2 -6 -1 3 5 7 6 3 1 1 5 9 12 13 9 -4 -7 2 8 13 14 10 3 5 2 3 10 9 4 4 2 3 4 6 6 7 10 9 7 5 3 3 5 5 7 11 14 10 5 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 5 4 3 2 2 2 2 2 4 9 14 13 10 9 7 7 7 6 6 5 4 4 5 6 6 5 5 6 6 6 6 6 6 7 6 3 -2 -2 3 5 5 5 4 4 4 4 3 3 4 4 5 5 6 5 5 5 5 5 5 5 4 4 4 4 5 5 4 3 3 5 6 7 7 8 8 8 9 11 12 10 7 4 2 2 4 5 6 6 5 5 4 5 5 5 5 4 4 3 2 3 6 7 5 4 5 6 5 4 4 5 4 4 3 4 4 5 6 6 6 6 6 8 10 12 9 6 5 5 6 8 9 9 10 10 10 9 7 4 2 2 3 5 6 5 6 5 3 2 3 4 3 3 5 6 5 2 1 2 5 6 6 6 5 4 3 3 2 3 4 4 3 3 3 4 5 5 5 6 6 7 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 2 3 4 6 6 5 4 3 4 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 6 7 7 6 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 2 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 5 5 4 5 5 4 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 6 7 9 11 13 13 13 13 13 10 8 8 9 10 11 10 8 7 6 5 4 4 4 5 7 10 12 12 10 9 8 7 7 6 5 2 -1 -2 4 8 5 4 7 4 2 1 -2 -1 3 5 5 9 8 2 -3 -2 -0 2 4 6 4 3 5 9 12 9 5 5 -0 -0 4 9 12 12 6 -0 3 1 6 11 6 -0 1 4 3 1 7 11 12 12 10 8 4 2 3 5 5 8 13 12 7 4 3 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 5 4 5 5 5 4 3 3 2 2 2 2 4 8 10 11 11 11 10 9 9 9 8 7 6 6 6 6 7 8 8 7 7 7 6 5 6 6 3 -1 -1 3 5 5 5 5 4 3 3 3 3 3 3 3 4 4 5 4 5 5 5 5 5 4 3 4 4 5 5 4 1 1 3 5 6 6 7 7 8 8 10 12 12 10 6 2 0 0 2 4 5 5 4 3 3 3 4 4 4 4 3 3 3 6 8 7 5 4 4 4 5 5 5 5 5 5 5 5 5 7 8 8 8 8 8 8 9 7 6 5 5 6 8 8 8 9 9 11 13 12 7 3 3 6 9 8 7 6 4 3 2 3 4 4 4 4 5 4 1 -1 1 5 6 6 5 6 5 4 3 2 3 4 4 3 4 4 5 5 5 6 6 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 2 2 2 3 4 6 5 4 3 3 3 4 5 5 5 4 3 4 4 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 6 6 6 5 4 4 4 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 3 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 6 7 9 11 12 13 12 13 13 12 10 9 10 11 11 10 8 6 6 5 4 3 4 5 6 9 12 13 11 10 9 8 7 7 6 4 1 0 2 5 6 3 2 1 5 11 7 -3 -0 3 1 3 5 5 2 1 -1 3 7 9 8 6 10 19 19 7 -1 -1 0 3 5 5 8 7 1 -1 1 2 7 8 4 0 4 9 6 1 5 11 12 11 10 7 2 3 7 7 6 10 13 10 5 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 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 5 5 4 3 3 3 3 3 3 3 5 6 7 8 8 8 9 9 9 9 10 10 9 7 7 9 9 9 8 8 10 10 9 8 3 -1 1 3 3 4 5 5 5 4 4 3 3 3 2 1 1 3 3 4 4 5 5 6 5 4 4 4 4 6 7 5 -0 -4 -1 3 4 6 6 7 7 7 8 10 12 12 10 7 3 -1 -2 -0 2 4 3 3 2 3 3 4 3 4 3 3 3 6 8 7 4 3 3 3 4 5 4 5 6 5 5 6 6 6 7 8 7 6 6 6 5 5 6 5 5 5 6 8 8 8 8 10 15 19 14 6 4 6 6 4 4 3 2 2 1 1 3 4 4 4 5 4 1 -0 2 5 6 6 6 6 6 5 4 3 3 4 4 4 4 4 5 5 6 6 6 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 3 3 3 2 3 4 4 4 3 2 2 3 4 5 5 4 4 3 3 3 2 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 3 4 3 4 4 4 5 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 3 4 4 5 5 4 4 4 4 5 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 5 6 7 7 9 11 12 12 12 12 12 11 11 12 12 11 10 7 6 5 5 4 3 4 4 6 8 11 14 13 11 10 9 8 8 6 5 3 3 1 4 7 -0 1 4 9 9 9 1 -0 3 2 -1 1 2 3 1 -2 1 8 12 12 8 11 19 22 13 4 0 0 2 3 2 1 1 -2 -0 1 6 8 6 3 4 7 11 9 4 3 7 10 10 9 6 3 6 9 8 8 12 11 7 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 5 4 5 5 5 5 6 5 5 5 5 5 5 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 3 4 5 6 5 6 7 8 11 12 9 7 7 8 9 8 7 8 10 12 11 5 1 2 3 3 3 4 4 5 5 4 4 3 3 2 0 -0 1 2 2 3 3 4 5 6 5 5 4 4 6 9 11 4 -5 -7 -1 4 5 6 6 6 6 6 8 9 11 11 11 10 6 0 -4 -5 -1 3 3 1 2 3 3 2 2 2 3 3 4 5 5 4 3 2 4 4 3 4 4 5 5 5 6 5 4 5 5 5 5 5 5 5 5 5 5 5 4 5 6 7 8 8 10 13 18 17 10 6 4 2 2 2 2 3 2 1 0 1 3 4 5 6 5 3 2 3 4 6 7 6 6 6 5 4 4 3 4 4 4 5 5 6 6 6 7 8 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 4 3 3 2 2 3 4 3 3 2 2 3 4 4 4 4 4 3 3 3 3 3 4 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 4 5 5 5 4 4 3 3 3 3 4 4 4 5 4 4 4 3 3 3 3 3 3 4 3 3 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 6 6 6 8 10 11 11 12 12 11 11 11 12 13 11 9 7 6 5 5 4 4 4 5 6 9 11 12 14 13 11 9 9 8 6 4 4 5 3 7 8 0 5 4 10 4 7 6 1 9 8 -1 -1 -1 1 4 1 0 6 12 14 13 13 13 11 10 8 5 3 1 4 1 -1 -1 1 3 4 7 7 6 4 7 8 11 10 6 4 6 9 11 10 7 6 8 7 7 10 12 9 5 3 3 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 7 8 8 8 6 5 6 7 6 4 5 7 9 7 3 3 3 3 3 3 3 4 5 5 4 3 4 3 2 -1 -2 1 1 -1 -0 2 4 5 5 5 5 4 6 10 13 9 1 -6 -4 3 4 5 5 6 5 5 5 6 7 8 9 12 13 9 -0 -9 -9 -2 4 3 1 2 2 2 2 2 2 3 4 4 4 4 3 3 3 3 3 4 4 4 4 5 4 2 3 4 4 4 4 4 4 5 5 4 5 5 4 4 5 6 7 8 9 11 14 14 11 8 4 2 2 3 6 6 5 3 1 0 2 4 5 6 6 6 5 3 4 6 7 6 5 5 4 4 4 4 4 4 5 6 6 6 6 6 6 7 8 8 8 7 nan nan nan nan nan nan nan 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 3 2 2 3 3 4 4 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 3 4 4 4 3 3 3 4 4 5 4 4 3 3 3 4 4 4 4 4 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 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 3 4 5 5 4 4 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 8 10 10 11 11 12 11 10 11 12 12 10 8 6 6 5 5 5 4 4 5 7 8 9 10 12 13 11 10 10 8 5 3 4 6 5 8 7 7 3 2 10 7 4 6 7 19 12 -1 -4 -1 2 10 10 4 3 8 13 15 17 13 5 3 5 5 3 3 5 5 3 5 6 5 5 6 5 6 6 8 7 8 9 8 6 7 9 11 10 7 6 6 5 7 10 11 7 4 3 3 4 4 3 3 3 3 4 4 4 4 5 5 5 4 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 4 4 3 4 4 5 5 4 2 3 6 7 6 3 3 4 5 4 4 3 3 3 3 3 3 4 4 4 4 4 5 6 3 -3 -0 3 -1 -5 -3 1 3 4 5 5 4 5 10 13 10 3 0 -0 2 4 4 4 5 5 4 4 4 4 4 4 8 13 15 10 -3 -12 -10 -2 2 1 2 2 3 4 4 4 4 4 5 4 4 4 5 4 2 3 5 5 4 4 4 4 3 2 3 3 4 4 4 4 5 5 4 4 4 4 4 4 6 7 7 8 9 11 11 10 8 6 4 3 4 8 8 7 5 3 1 2 3 4 4 5 6 4 3 4 6 6 6 5 4 4 5 5 4 5 5 6 7 7 6 5 5 6 6 6 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 3 4 4 4 3 3 3 4 4 4 3 3 3 3 2 3 3 4 5 4 4 3 3 4 4 4 2 2 4 4 4 4 3 3 3 4 4 5 4 4 3 3 4 4 4 4 3 3 3 3 3 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 4 3 3 3 3 4 4 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 8 9 9 10 10 11 11 10 10 11 10 9 7 6 6 7 6 6 5 6 6 7 8 9 8 10 12 12 11 10 8 4 2 3 4 5 7 6 11 -2 4 11 10 1 3 8 20 11 1 -0 3 3 7 9 6 1 4 11 15 17 12 5 3 5 3 1 3 5 7 7 7 6 5 4 3 3 5 8 9 6 5 7 8 5 6 8 11 9 6 4 3 4 8 11 9 5 4 3 3 4 4 3 3 2 3 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 5 5 5 5 5 5 4 4 4 5 4 4 4 4 3 4 4 4 3 3 1 1 3 4 4 4 3 4 4 3 3 2 2 5 9 10 7 3 3 5 5 5 4 4 4 3 3 3 3 3 4 4 3 4 8 9 2 1 7 6 -3 -7 -5 -0 2 3 4 4 4 7 11 11 3 1 4 4 4 3 4 4 3 2 2 2 2 2 0 2 7 13 16 11 -2 -9 -4 2 3 3 3 4 4 4 4 4 4 5 5 5 4 4 5 4 2 4 4 3 3 3 4 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 8 9 9 8 7 5 4 5 7 8 8 7 4 3 2 2 3 2 7 9 5 3 4 5 5 5 4 5 6 6 6 6 6 6 6 7 7 6 5 5 4 4 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 3 3 3 4 3 3 3 3 4 5 4 4 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 2 3 3 4 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 8 10 9 9 9 10 11 11 11 11 8 6 5 4 5 7 7 7 7 7 8 8 9 10 10 9 10 11 11 10 6 2 2 4 3 3 5 9 11 -1 6 11 11 4 1 4 13 9 11 12 10 4 -1 3 1 -3 1 9 14 13 7 3 4 2 0 1 2 5 7 5 2 3 5 5 2 2 4 8 10 5 4 7 8 4 3 6 9 8 6 4 3 4 9 11 7 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 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 3 2 1 1 2 4 4 4 4 4 3 3 3 2 2 4 9 13 10 4 3 4 5 5 4 4 3 3 3 3 3 3 3 4 4 4 6 9 7 5 10 12 5 -2 -7 -5 -1 1 2 2 3 5 6 8 5 3 5 5 5 3 2 2 2 1 -0 -1 0 1 -1 -2 1 8 14 17 10 3 2 4 4 4 5 4 3 3 4 4 4 5 5 6 4 4 6 6 2 2 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 7 7 8 8 7 6 5 5 6 8 9 9 7 5 3 3 3 4 9 12 13 10 6 4 4 5 4 5 6 7 7 7 7 7 7 7 8 7 6 5 4 4 6 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
nan nan nan nan 2 3 3 3 3 4 3 3 3 4 5 5 4 5 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 6 6 7 6 6 8 9 11 10 8 9 10 12 11 11 10 8 5 3 3 3 4 5 6 7 8 9 9 9 11 12 10 9 9 9 8 4 0 2 4 3 2 6 15 11 4 3 5 5 7 2 -0 5 7 16 19 14 4 -4 3 -2 -5 0 7 11 10 4 2 3 1 1 2 3 6 8 4 -0 2 6 7 3 1 3 8 9 4 4 7 7 2 1 5 6 8 7 6 4 5 10 10 6 4 3 3 3 4 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 5 5 5 5 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 1 1 1 3 5 5 4 4 4 3 3 3 2 4 8 13 12 6 3 3 4 4 4 4 3 3 3 3 2 3 3 3 3 3 4 5 5 6 11 14 10 5 -2 -5 -2 -1 -1 -3 -1 3 4 4 5 4 4 5 5 3 2 1 1 1 0 -2 -1 1 1 -0 -0 4 8 11 11 7 5 4 4 5 6 5 3 3 4 5 5 5 4 5 4 3 5 5 4 5 5 6 6 5 4 4 4 4 5 5 4 4 4 5 5 4 4 4 4 4 4 5 5 5 6 7 7 7 7 7 7 7 6 5 5 7 9 9 8 6 4 3 4 5 8 15 24 22 11 6 5 5 5 4 5 6 7 7 6 6 6 7 8 7 6 5 4 4 5 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 3 3 4 4 4 3 3 4 5 5 5 6 5 4 3 3 3 2 3 2 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 3 3 3 4 5 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 6 7 8 7 6 7 9 11 12 11 10 9 11 13 12 9 7 7 6 4 3 1 2 3 5 6 8 9 9 10 13 13 10 8 8 7 5 1 -1 2 6 6 4 8 13 10 5 2 4 4 7 7 2 -2 4 12 12 9 4 2 4 -2 -3 2 5 9 11 6 2 -1 -1 1 3 3 6 8 4 1 2 5 7 3 1 2 7 6 4 5 7 6 2 1 3 6 8 8 6 3 4 10 9 5 3 3 3 3 4 3 3 3 4 4 4 4 4 3 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 2 1 1 3 4 5 5 4 4 4 3 3 3 3 6 11 14 10 4 3 4 4 4 4 4 3 2 3 2 2 3 3 3 3 3 4 3 5 10 15 13 8 3 -0 -0 1 0 -4 -7 -1 3 3 3 3 4 5 6 6 4 3 2 2 3 2 2 3 3 4 3 3 4 5 6 6 4 3 4 5 5 5 4 5 6 5 4 3 4 6 4 2 3 3 4 5 6 6 7 7 5 4 3 4 5 6 5 5 5 5 5 4 4 4 3 4 4 4 4 5 6 6 7 7 8 7 7 7 6 5 5 8 9 9 8 7 6 5 5 6 8 15 24 23 14 9 7 5 4 4 4 5 6 6 5 5 4 5 7 8 7 6 3 2 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 2 2 2 3 4 4 4 3 3 4 5 5 6 7 6 5 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 3 3 3 4 4 4 3 3 3 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 4 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 5 6 6 6 7 7 6 8 11 13 13 12 11 11 13 14 11 6 3 5 7 7 5 2 2 4 5 6 7 9 10 12 14 13 10 8 7 5 2 -0 0 4 6 8 9 9 7 5 2 3 6 9 14 12 5 0 6 3 3 1 4 12 13 6 3 2 3 8 9 5 3 1 0 1 2 4 7 7 5 3 3 4 4 2 1 3 7 6 7 8 8 5 3 3 4 6 7 6 3 1 4 10 9 5 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 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 6 6 5 5 5 5 4 4 4 4 3 2 2 2 3 4 4 4 4 4 4 4 3 2 3 8 15 16 9 3 3 4 4 4 4 4 4 3 3 3 3 2 2 3 3 3 3 4 7 15 18 11 6 4 3 4 4 -0 -5 -4 -1 1 2 3 4 5 8 9 6 5 5 5 4 4 5 4 4 5 4 4 4 4 4 5 5 4 3 5 4 3 3 5 6 4 2 2 4 6 5 2 3 3 3 4 4 5 7 8 7 5 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 7 8 8 8 8 6 5 6 8 8 7 6 7 8 6 6 7 8 11 13 13 12 11 8 6 5 4 4 5 6 5 5 5 3 4 7 8 7 5 3 1 1 2 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 nan nan
nan nan nan nan 1 1 2 2 2 3 4 4 4 3 3 3 4 6 7 8 7 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 3 4 4 4 5 5 6 6 6 6 6 9 13 16 16 14 12 12 14 13 10 5 1 1 6 8 7 3 4 7 7 6 8 9 10 13 15 14 10 7 6 5 1 -0 2 4 4 7 11 11 6 -1 1 6 3 6 18 16 8 4 7 -1 -3 -3 6 20 23 15 7 1 2 5 4 3 5 5 5 4 2 3 6 7 5 4 5 3 1 1 3 5 7 7 10 10 7 4 3 4 5 7 4 2 2 1 4 10 10 5 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 3 2 1 4 13 20 15 6 3 3 4 4 4 4 5 4 4 3 3 2 2 2 3 3 3 3 4 9 16 16 10 6 5 5 6 4 -0 -1 -2 -2 0 3 4 5 8 10 7 6 6 5 4 4 4 4 4 4 4 3 3 4 4 4 5 5 4 3 3 2 3 3 4 3 3 3 3 4 4 3 3 3 4 3 3 4 5 7 9 8 5 3 4 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 5 5 4 5 7 8 9 8 7 8 9 9 7 6 6 6 7 6 7 7 7 7 6 7 8 8 8 7 6 5 4 5 6 6 6 6 4 4 6 7 6 5 4 1 1 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 1 1 1 1 1 1 2 3 4 4 4 4 3 3 4 6 8 9 7 5 5 5 4 4 4 3 3 3 3 3 2 2 2 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 4 4 4 5 5 4 5 4 4 4 4 4 4 5 5 5 5 6 6 6 9 15 20 23 21 17 14 14 14 12 8 5 1 1 3 5 5 4 5 9 10 9 10 11 11 14 16 13 10 7 6 3 1 1 4 4 5 8 8 12 6 -1 6 6 -2 3 14 14 7 1 3 4 -1 -2 7 22 22 15 6 1 2 3 0 2 6 7 7 7 3 1 4 8 7 6 6 3 1 2 4 6 5 5 8 8 5 3 4 4 5 6 4 -0 1 3 6 11 10 6 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 3 2 1 3 9 17 18 10 4 4 4 4 4 5 5 5 5 4 3 2 2 2 3 3 3 3 3 4 7 14 16 11 8 7 7 6 3 1 1 -0 -0 4 4 4 6 7 7 7 7 4 3 3 4 4 3 3 4 4 3 4 5 4 4 4 3 2 3 3 3 3 3 2 2 2 3 3 3 3 3 4 4 4 3 3 3 5 8 9 8 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 4 3 4 6 7 9 9 10 9 8 7 7 6 5 6 7 7 6 6 6 4 4 5 6 7 7 6 5 4 5 8 7 7 7 6 5 4 5 6 5 5 2 2 4 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 1 1 1 1 1 2 2 3 3 4 3 3 3 2 3 6 10 10 6 5 5 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 4 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 6 7 11 21 31 33 30 23 17 14 13 12 10 8 5 3 2 2 2 3 3 5 9 11 12 13 13 13 14 15 13 9 7 4 1 1 4 5 5 7 10 6 7 5 3 9 6 1 5 11 11 1 -4 2 10 9 3 8 20 16 9 5 2 3 2 1 3 6 7 7 6 3 1 4 9 8 5 5 5 3 3 3 4 5 5 5 6 5 4 4 5 5 5 4 1 2 4 8 12 10 6 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 3 2 2 3 5 6 5 5 5 5 5 5 6 6 5 5 5 4 4 3 3 4 4 3 2 1 2 5 12 16 14 9 5 4 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 2 3 6 11 11 10 11 11 9 6 3 2 1 2 6 6 4 4 5 5 6 6 4 2 2 3 2 2 3 5 5 4 4 5 4 4 3 2 2 3 3 3 3 3 3 2 2 3 3 3 3 3 2 3 4 4 4 4 5 6 9 10 8 6 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 6 6 4 3 4 5 7 9 9 8 8 7 7 6 5 5 6 6 6 6 5 4 4 4 5 6 6 6 5 4 5 7 8 8 7 6 5 3 5 6 6 5 4 3 4 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 1 1 2 1 1 2 2 2 2 3 3 3 3 2 2 4 9 12 9 4 3 4 4 3 3 3 3 3 3 3 2 2 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 5 4 5 4 4 5 5 5 6 5 6 5 5 5 5 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 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 5 6 7 7 6 6 7 8 21 41 45 35 26 21 16 11 8 7 7 7 6 4 3 3 3 3 5 6 9 12 13 14 14 14 15 15 12 8 3 -1 -0 3 4 3 6 7 10 6 6 7 4 4 5 5 4 8 7 0 -4 -1 9 14 9 8 11 9 7 7 4 4 3 4 4 4 6 7 5 1 0 4 8 6 4 6 7 5 3 3 4 7 6 5 8 8 8 5 6 5 5 5 3 3 4 8 12 10 6 4 4 4 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 1 2 5 5 5 5 5 5 6 5 5 6 6 6 6 5 5 4 3 4 4 3 2 1 2 3 6 11 14 13 9 6 4 4 4 4 5 5 5 4 4 4 4 4 5 4 4 4 3 2 3 4 5 8 11 13 13 10 7 6 3 4 6 7 6 5 4 4 6 5 3 4 5 4 3 3 3 4 4 5 5 6 5 4 4 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 3 3 3 4 4 5 5 6 8 9 9 8 7 5 4 4 5 5 5 5 5 5 5 5 5 4 5 5 6 7 6 4 5 5 5 6 6 8 8 8 8 6 5 4 4 5 5 6 5 5 5 5 4 5 5 6 6 5 5 6 7 7 7 6 4 4 5 6 6 6 5 4 4 4 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 2 2 2 1 2 2 1 1 2 2 2 3 3 3 2 2 6 11 12 6 2 2 2 3 3 3 2 3 3 2 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 3 4 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 5 6 7 8 7 6 6 8 14 31 43 34 20 13 14 12 6 3 2 4 6 7 5 3 4 5 6 8 8 10 12 14 15 15 15 15 13 10 4 -1 -2 1 4 4 3 7 8 5 6 8 8 4 1 4 1 2 6 6 6 1 -3 2 11 11 6 4 6 11 11 6 6 7 6 4 3 5 6 3 -1 -1 2 5 5 6 10 9 5 3 4 6 7 6 5 9 15 16 9 6 5 4 5 4 4 4 6 11 10 7 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 1 1 2 4 5 5 6 6 6 6 5 5 6 6 7 7 7 6 5 4 3 4 4 3 2 2 2 3 5 9 12 13 10 6 5 4 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 3 4 4 5 8 11 10 9 8 6 5 9 11 8 6 5 4 5 3 3 6 7 6 6 4 3 2 1 3 5 4 5 7 7 5 5 4 3 3 4 4 4 4 5 5 5 4 4 3 3 4 3 4 4 5 6 6 6 7 8 8 8 7 6 5 5 5 5 6 6 6 5 5 4 4 5 5 5 6 5 5 5 5 5 5 5 6 7 7 8 7 6 5 4 4 5 7 7 6 7 7 5 5 6 6 5 5 5 6 6 5 6 6 5 4 5 6 6 6 5 4 4 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 4 3 2 3 2 2 2 2 1 1 2 2 2 2 3 3 3 2 3 8 12 9 4 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 3 2 3 3 2 2 3 3 2 2 2 2 2 3 3 3 4 3 3 3 3 4 4 4 4 4 5 5 4 4 5 5 5 4 5 4 4 4 4 4 5 5 4 4 4 4 3 3 4 4 4 5 5 4 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 5 4 4 4 4 5 7 7 7 6 6 7 10 20 31 24 12 7 6 9 7 1 -3 -2 -0 3 5 3 2 4 6 8 10 10 11 13 13 14 15 15 15 12 6 -1 -2 1 3 4 4 4 5 7 4 7 8 7 4 4 8 1 -1 3 5 11 9 1 0 8 14 11 6 7 13 13 8 10 10 8 7 3 3 4 3 3 1 0 3 4 7 10 8 4 3 5 5 5 6 7 9 19 21 12 6 3 2 4 5 6 5 6 10 11 7 6 5 4 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 2 2 3 6 8 8 6 6 6 6 6 7 7 7 6 6 5 5 4 4 4 3 3 3 2 2 3 7 12 13 10 6 4 5 5 6 6 6 6 6 6 6 7 7 7 6 5 5 4 4 4 4 4 4 6 6 6 7 6 6 9 13 11 7 6 5 3 0 0 6 9 9 10 7 4 3 1 2 2 2 5 7 8 7 6 5 4 4 5 5 5 5 6 6 6 6 6 6 5 4 4 4 5 5 5 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 6 5 4 4 5 5 5 5 6 6 6 6 6 6 5 4 4 6 7 8 8 7 6 5 6 7 8 7 8 8 7 7 6 7 6 5 5 5 5 6 7 7 6 5 6 6 7 6 6 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
nan nan 7 5 4 3 3 3 2 2 2 2 2 2 2 2 3 3 3 2 2 5 9 10 7 4 2 2 1 1 2 1 2 2 2 1 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 1 2 2 2 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 5 5 5 5 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 5 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 7 7 6 6 8 14 24 26 14 5 4 6 9 8 -1 -8 -6 -3 2 4 2 1 3 5 8 10 11 13 14 14 14 14 14 12 7 1 -3 1 6 6 3 3 1 1 9 8 12 9 4 4 7 11 5 2 3 2 6 8 5 3 7 14 16 13 10 12 11 8 10 11 11 10 6 2 3 4 5 3 2 1 -0 3 5 6 3 1 4 5 4 6 7 9 19 20 12 5 1 -1 1 7 11 7 7 11 11 8 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 2 0 0 4 8 9 6 6 6 6 6 6 7 7 7 6 6 5 5 5 4 4 3 3 3 2 1 3 6 11 13 10 6 5 6 6 6 6 6 6 6 5 6 6 7 7 6 6 5 5 5 5 4 4 4 4 5 5 5 6 7 8 10 8 7 7 3 2 2 4 7 11 12 10 6 4 3 2 2 2 3 7 8 8 7 6 5 6 6 6 5 6 7 7 7 7 8 8 7 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 6 6 5 5 5 5 5 5 6 7 7 7 6 5 4 4 5 7 9 9 8 6 6 7 6 7 7 7 7 7 7 8 7 6 6 5 6 7 8 8 8 7 7 6 7 7 6 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 11 8 6 5 5 4 3 3 2 2 2 2 2 2 2 3 3 3 2 2 5 8 8 6 4 1 1 1 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 1 1 2 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 7 7 7 7 7 8 12 18 24 21 11 10 8 4 10 10 -1 -8 -5 1 4 4 2 2 4 5 7 9 11 14 15 14 13 13 11 7 1 -2 -1 4 7 6 3 5 3 2 9 9 18 13 2 4 6 7 7 5 3 1 1 5 6 4 5 10 15 15 10 8 7 6 8 10 11 8 5 3 3 4 3 4 5 3 -0 1 3 6 3 -1 5 8 7 7 9 13 19 15 9 4 -1 -3 1 9 14 10 9 13 11 9 6 5 5 4 4 4 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 5 5 5 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 0 -1 3 7 8 7 6 6 6 6 6 6 7 7 7 7 6 6 6 5 5 4 4 3 3 2 1 2 5 8 10 8 7 7 6 7 7 5 4 4 4 4 5 6 7 7 6 5 5 5 4 4 4 4 4 4 4 5 6 6 5 7 8 8 7 6 6 5 4 5 8 11 11 9 6 4 3 3 2 3 6 8 9 8 7 5 6 5 5 5 6 7 8 9 9 9 9 8 6 5 4 4 5 5 4 5 5 4 4 4 3 4 4 5 6 7 8 8 7 9 9 8 7 6 6 6 5 5 5 6 7 8 9 8 6 5 4 3 4 7 9 9 8 7 6 5 6 5 5 5 6 8 9 9 9 9 9 8 7 8 8 9 8 6 6 6 5 5 5 4 4 4 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 10 9 8 7 6 6 4 3 2 2 2 3 2 2 2 2 3 3 3 3 3 6 8 7 6 4 3 2 2 2 2 1 1 1 1 1 1 1 1 2 3 2 2 2 1 1 1 2 1 1 1 2 2 2 2 2 2 2 3 3 3 3 2 2 3 3 3 3 4 4 5 4 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 7 8 8 7 8 8 11 18 23 23 15 8 12 9 -1 3 4 -2 -4 -1 3 5 5 4 6 6 6 8 9 10 12 15 15 13 10 6 -1 -4 -2 2 4 3 1 2 9 10 9 2 5 16 13 2 3 8 6 8 7 3 3 4 9 10 5 5 9 12 12 9 5 4 5 5 7 8 5 1 2 2 3 2 1 1 8 9 3 4 6 2 -1 5 10 11 12 12 14 17 17 10 4 -1 -4 2 12 16 10 9 15 14 9 6 4 5 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 2 0 2 6 7 6 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 4 4 3 2 2 2 3 6 7 6 7 7 6 5 4 3 2 2 3 4 5 6 6 7 6 5 4 4 4 4 3 3 4 4 4 5 5 5 6 7 8 8 7 7 6 5 3 4 7 10 10 8 7 6 5 4 4 5 8 10 9 7 6 5 5 4 5 7 8 9 10 11 11 10 8 7 6 4 4 5 5 5 5 5 5 4 4 4 3 3 4 5 7 8 9 8 9 9 7 6 6 6 6 5 4 4 6 7 8 9 10 9 7 6 4 3 4 6 8 9 8 7 6 6 4 4 4 5 7 9 10 10 9 9 7 6 6 7 7 6 5 5 5 5 4 3 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 9 8 7 7 6 5 5 4 3 3 3 2 2 2 3 3 4 3 3 4 6 8 7 6 5 3 3 3 3 2 2 1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 1 0 0 1 2 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 4 5 4 4 4 4 4 4 4 5 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 9 13 19 24 24 16 6 -0 4 1 -7 -6 -4 -3 -1 1 3 4 4 5 8 8 9 12 12 9 12 15 15 11 6 0 -4 -3 0 3 4 1 -4 1 11 15 10 -2 4 10 7 -0 2 9 6 10 14 6 7 8 11 12 6 8 12 12 8 7 6 6 5 4 4 4 2 -1 0 1 3 4 -5 -8 12 19 6 5 4 -0 1 2 7 13 15 12 10 18 24 14 4 -3 -4 3 13 15 10 9 15 14 8 5 4 5 4 4 4 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 4 4 5 5 4 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 6 5 3 2 3 4 5 5 5 5 6 6 6 5 6 6 6 6 6 7 7 7 6 6 6 5 4 3 3 3 2 2 2 3 3 4 6 6 5 4 2 2 2 2 3 4 5 6 6 6 5 5 4 4 3 4 4 4 4 4 5 5 5 5 6 8 9 8 8 7 6 4 3 3 6 8 9 8 8 7 7 6 6 7 9 9 8 6 5 4 4 4 5 7 9 10 11 12 10 8 7 6 4 4 5 5 5 5 5 6 5 4 4 4 4 3 4 5 7 9 9 9 7 5 4 6 6 5 5 4 4 5 7 9 9 10 10 10 8 6 4 3 3 6 8 9 8 8 8 7 6 4 5 6 6 7 7 6 5 5 5 5 6 5 4 4 4 5 5 4 4 5 4 4 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 9 10 9 9 8 8 9 9 8 6 4 3 2 2 2 2 3 3 4 3 4 5 7 8 7 5 4 3 3 4 4 2 2 1 1 0 1 1 1 2 2 2 2 1 1 2 2 2 2 1 1 2 3 3 3 3 3 3 3 4 4 4 3 3 3 2 2 3 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 4 4 5 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 7 7 7 7 9 14 24 30 25 18 11 -1 -4 -6 -10 -11 -9 -5 -1 1 2 3 4 5 7 9 11 13 17 16 12 13 16 14 8 1 -2 -1 1 2 3 5 5 3 5 7 7 1 -2 5 8 4 -0 -1 4 5 9 18 14 8 4 8 9 6 11 15 12 7 6 6 6 6 4 3 1 -1 -0 1 1 4 5 -6 -10 16 25 7 2 2 -2 1 1 2 9 13 12 13 24 30 17 4 -2 -2 4 12 13 8 8 16 15 7 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 4 4 3 3 3 4 4 4 5 5 6 6 6 6 6 5 6 6 7 7 6 7 6 6 5 5 4 4 3 2 2 2 0 0 2 3 4 3 3 2 2 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 7 8 8 8 8 7 5 3 2 2 4 5 5 6 8 9 8 8 7 7 7 7 6 5 4 3 4 5 6 7 9 11 10 9 7 7 6 4 4 5 5 5 5 6 6 6 6 5 5 4 4 4 4 6 7 8 8 6 3 3 4 5 5 5 4 4 5 6 8 9 9 10 10 10 8 7 4 3 3 5 7 9 9 8 8 8 6 4 2 3 4 4 3 4 4 5 5 5 5 5 4 4 5 6 6 6 6 5 4 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 9 10 9 7 8 11 13 14 12 8 5 4 3 2 2 2 2 3 3 4 4 5 6 7 6 5 3 3 4 3 3 2 1 1 0 0 1 1 2 2 3 3 2 2 3 2 3 3 3 2 2 3 3 3 3 3 3 3 4 4 5 5 5 3 3 2 2 3 4 4 3 3 3 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 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 7 7 7 7 9 14 27 38 33 17 7 5 2 6 -5 -14 -12 -7 -3 1 2 3 3 5 7 9 11 14 18 21 19 16 17 18 14 5 -2 -3 1 2 3 3 4 7 8 8 12 14 9 5 5 7 4 0 -3 -1 2 6 17 21 10 5 8 7 7 11 14 11 7 5 3 3 5 5 3 1 0 2 2 5 7 5 -4 -4 18 25 7 1 1 -2 2 1 -2 2 9 13 20 30 30 17 5 1 1 6 11 10 7 8 15 15 7 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 3 3 4 4 4 4 4 5 5 6 5 5 4 3 3 2 2 3 4 5 6 7 7 6 6 5 6 6 6 6 6 7 6 6 6 6 5 4 4 3 3 2 1 0 -0 1 2 3 2 2 2 2 3 3 3 3 4 4 5 5 5 5 5 4 4 4 5 4 4 4 5 5 5 6 7 8 8 8 8 7 5 3 1 2 2 1 1 4 6 8 9 8 7 6 6 6 4 3 3 3 4 5 6 7 8 8 7 7 6 5 4 4 4 5 5 6 6 7 7 7 7 6 5 4 3 3 4 5 6 5 5 4 3 3 5 5 5 4 4 4 5 6 7 9 10 10 10 11 10 7 4 2 3 5 6 6 6 6 6 6 5 3 3 4 4 4 4 4 5 5 5 5 5 5 4 5 6 7 7 6 5 5 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 6 7 7 6 6 8 12 15 16 12 9 7 5 3 3 2 2 2 3 3 3 4 5 7 7 6 5 3 2 2 3 3 3 2 1 0 -0 -0 1 2 3 3 3 3 3 3 3 4 4 4 3 2 2 2 3 2 2 2 3 4 6 6 6 4 3 2 2 3 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5 4 5 4 4 5 5 4 5 5 5 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 7 7 8 12 23 37 40 26 11 -2 -5 4 3 -9 -15 -10 -4 0 3 3 3 4 5 7 10 14 17 20 21 20 19 20 18 9 -2 -4 -1 1 2 4 4 5 7 6 4 8 17 23 17 7 5 4 -0 -3 -2 3 8 13 16 8 8 13 12 9 10 11 8 3 -0 -0 4 6 3 1 0 3 4 4 6 7 3 -2 3 17 15 5 1 -4 -6 1 1 -1 3 9 10 20 31 28 15 5 2 5 8 10 9 6 7 14 14 7 5 5 5 4 5 5 4 4 4 4 4 4 3 4 4 3 4 4 4 3 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 2 3 4 5 6 7 7 6 6 6 6 6 7 7 6 6 6 6 7 6 6 6 5 5 4 4 3 3 2 2 2 2 2 2 1 1 2 2 3 3 3 4 4 5 5 6 5 4 4 5 5 5 4 4 5 5 5 5 6 8 8 9 9 7 6 4 1 1 1 1 1 2 3 5 6 6 7 7 7 5 4 3 2 2 3 4 5 6 6 6 7 6 5 4 4 4 5 5 5 6 6 7 7 7 7 7 6 5 4 3 3 3 4 4 4 5 3 2 3 4 5 5 4 4 4 5 6 7 9 9 9 11 13 11 7 5 5 6 7 5 4 6 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 2 3 4 5 6 5 3 5 10 13 14 13 11 9 6 4 3 2 2 2 2 3 4 5 7 7 6 4 3 2 2 3 4 4 4 3 1 -1 -1 0 2 2 3 2 3 4 3 3 4 4 4 3 2 1 2 2 2 1 2 2 3 4 5 6 6 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 5 6 7 7 9 12 17 25 31 28 18 11 -3 -11 -10 -21 -22 -14 -6 -1 2 4 4 4 5 6 8 11 16 19 18 18 19 21 20 10 -2 -4 -0 0 0 3 6 6 4 5 8 9 6 7 15 12 6 7 5 1 1 3 6 10 10 9 5 5 12 11 7 7 8 3 -4 -4 5 12 8 2 -2 -1 4 6 5 7 9 4 -2 5 14 10 5 2 -8 -13 -0 5 2 5 6 8 21 31 25 14 6 3 5 8 10 8 6 7 12 12 7 5 5 5 4 4 5 4 4 4 4 3 3 3 4 4 4 4 4 3 4 4 4 5 5 4 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 4 4 5 6 6 6 5 5 5 6 7 7 6 6 5 6 6 6 7 6 6 6 6 6 5 5 5 5 5 4 3 2 2 1 0 1 2 2 3 3 4 5 6 5 5 5 4 4 5 5 5 5 5 5 5 6 6 7 8 9 9 8 7 5 3 1 1 2 2 2 3 4 3 4 5 7 7 7 5 2 2 2 4 5 4 4 5 5 6 5 3 2 4 5 5 5 5 5 5 6 6 6 6 7 7 7 6 5 3 2 3 3 3 4 3 2 2 3 4 4 4 4 4 4 5 6 8 7 6 7 10 12 10 8 7 9 11 11 9 8 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 5 6 5 5 5 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 5 5 4 3 3 4 5 4 1 1 2 4 8 11 13 13 11 7 5 3 2 1 1 2 3 5 6 5 4 3 2 2 3 5 6 5 5 4 3 1 0 1 2 2 2 2 2 3 3 3 3 3 4 4 3 2 2 1 1 2 1 2 2 1 3 5 6 5 5 4 3 4 4 5 5 5 6 5 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 8 7 8 11 13 15 16 16 16 12 10 11 1 -13 -21 -25 -19 -7 -1 2 4 5 5 5 5 6 8 12 17 19 16 15 17 18 13 1 -7 -4 -2 -3 2 5 7 7 3 3 4 5 11 10 6 2 4 9 8 5 6 7 9 12 11 8 5 7 10 6 4 4 6 -1 -12 -5 18 22 11 2 -2 -3 1 4 4 5 8 6 1 6 12 13 11 8 -5 -13 -1 10 8 7 7 14 22 25 19 11 5 3 4 6 8 7 6 8 12 11 7 5 6 4 4 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 5 6 6 6 6 5 5 5 6 6 5 6 7 6 6 6 6 6 6 6 6 5 4 3 2 1 1 1 2 3 3 3 3 4 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 7 8 8 8 7 7 5 3 3 3 3 3 4 4 5 4 4 5 6 7 6 4 3 2 4 5 5 5 5 5 5 4 2 2 3 5 5 5 4 4 5 5 5 5 5 7 9 9 9 7 2 2 3 3 1 2 2 1 1 2 3 3 4 4 5 5 5 6 7 6 4 3 4 7 8 8 8 8 11 12 11 9 7 5 4 4 4 4 4 4 5 5 5 5 4 3 4 4 3 3 3 4 4 5 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 4 3 4 4 3 1 -0 -0 1 5 8 13 15 12 8 5 3 2 2 2 3 4 5 5 4 3 2 2 4 5 6 4 4 4 3 2 2 2 3 3 3 3 2 2 3 2 2 3 4 4 3 3 3 2 2 2 2 1 1 0 1 3 5 5 4 3 3 3 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 8 11 10 12 14 14 13 10 9 6 4 8 14 7 -7 -12 -10 -4 2 3 4 5 5 4 4 6 7 8 11 17 20 16 13 14 12 5 -3 -5 -4 -4 -3 3 5 6 6 5 8 2 -4 5 10 9 4 7 9 6 6 8 7 9 11 10 7 10 16 12 4 2 2 4 1 -13 -1 24 24 11 3 -2 -5 -0 8 6 2 2 5 6 6 9 15 15 12 3 -4 -1 12 16 14 13 16 19 18 12 7 3 1 3 5 6 6 6 8 12 10 7 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 6 6 6 7 7 6 6 7 7 7 6 5 4 3 2 2 3 3 3 3 3 3 3 4 4 5 5 5 6 5 5 5 6 6 6 6 6 6 7 7 8 9 8 7 5 4 4 4 4 5 5 6 5 3 3 5 6 7 6 3 4 6 7 6 6 5 5 3 1 2 4 5 6 5 5 5 4 5 5 5 4 6 9 11 12 9 5 4 4 4 2 1 -0 -0 0 1 2 2 3 4 4 4 4 5 6 5 4 2 1 1 2 4 5 6 6 7 8 6 5 4 4 3 3 3 3 4 4 4 4 5 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 5 4 3 4 6 5 2 -0 -1 1 4 10 17 19 14 9 5 3 2 2 3 4 5 6 5 4 3 4 5 4 3 2 2 2 3 3 3 3 5 6 5 4 3 3 2 2 2 3 4 4 4 4 4 4 3 3 3 2 0 -0 0 2 3 3 3 3 3 3 4 4 3 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 5 5 6 7 11 13 12 13 13 9 7 7 10 9 14 21 22 15 5 2 2 4 5 5 5 5 4 4 5 7 8 9 11 17 21 17 11 9 6 0 -3 -2 -0 4 8 5 2 3 5 8 11 8 7 10 7 4 6 11 6 3 5 5 4 6 6 5 7 15 18 10 3 3 5 5 5 -3 7 21 18 8 3 -1 -2 2 7 5 1 1 3 4 5 9 11 8 6 5 4 -1 7 18 21 19 15 13 9 5 4 1 -1 3 6 6 5 6 8 11 10 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 5 6 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 7 7 8 8 7 5 4 4 4 4 4 4 3 3 3 4 4 4 5 5 6 6 5 5 6 6 6 6 5 5 6 6 8 9 9 8 7 7 6 6 6 6 6 6 5 4 2 2 5 8 8 6 6 7 8 8 6 4 3 3 2 3 4 5 5 5 5 5 5 5 6 6 5 6 7 10 13 11 8 6 6 8 8 6 1 -1 -1 0 2 2 3 3 4 4 4 4 4 5 4 3 1 -0 -1 -0 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 3 3 3 3 2 2 3 4 5 5 4 5 5 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 4 5 6 6 4 2 2 4 6 9 15 18 17 14 10 6 4 3 2 3 6 7 6 5 6 7 8 6 2 0 0 2 3 4 4 5 6 8 7 7 5 3 2 3 3 3 4 4 4 4 4 3 4 4 3 3 1 0 1 1 2 1 2 2 3 3 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 4 4 3 4 4 3 4 4 5 4 4 4 4 4 4 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 5 8 12 15 13 10 8 6 6 8 13 19 26 28 23 18 14 11 8 8 8 7 6 5 4 4 6 7 9 9 11 16 20 17 10 5 4 3 0 -2 1 9 11 8 3 2 6 8 8 7 7 14 11 3 7 7 2 5 8 4 2 5 3 4 10 17 17 8 3 1 4 10 10 7 14 20 15 5 0 -1 2 4 3 -2 1 7 4 5 10 9 4 2 3 3 5 -3 -5 10 26 23 12 4 -2 -1 2 0 1 6 8 7 5 5 7 13 11 6 6 6 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 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 5 5 4 4 4 5 4 4 4 4 4 4 4 5 6 5 5 4 4 4 4 4 5 5 4 5 5 5 5 4 3 4 4 4 4 4 5 5 5 6 7 8 7 6 5 5 5 5 6 5 4 4 4 4 5 4 4 5 5 6 6 5 6 6 6 6 6 5 5 6 5 6 7 7 8 8 8 8 8 7 7 7 6 5 4 2 3 5 8 9 8 7 7 7 5 3 2 2 2 2 4 5 5 5 6 5 5 5 6 7 7 6 5 8 11 11 8 6 7 10 13 12 8 4 2 2 3 3 3 4 4 5 5 4 4 4 4 4 2 1 1 -0 0 1 2 2 1 1 1 1 0 1 1 2 2 2 3 3 4 4 3 3 3 2 2 1 2 2 3 4 4 4 4 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 2 3 4 4 4 5 5 5 3 3 8 12 11 9 9 10 11 12 12 10 8 6 4 5 6 7 6 5 5 8 9 7 4 2 1 3 4 5 5 6 7 8 9 8 6 4 2 3 3 3 3 4 4 4 4 4 3 4 4 3 2 2 2 2 1 1 1 2 3 4 4 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 5 4 4 5 8 12 16 15 11 8 6 5 7 9 12 21 19 12 8 12 15 13 11 10 10 8 6 5 4 5 6 7 9 9 11 15 19 17 11 6 7 10 6 -0 -0 3 4 4 3 6 10 7 5 3 -1 7 13 5 11 4 3 12 12 3 2 6 6 9 15 16 17 13 4 -3 3 20 19 12 14 18 14 2 -4 -1 3 4 1 -1 8 16 12 14 18 8 2 5 5 3 5 1 -7 8 30 20 8 -1 -5 1 4 3 7 10 8 7 5 4 7 14 14 6 5 6 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 4 4 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 3 4 6 5 5 4 5 5 6 6 5 4 5 5 5 5 5 4 4 5 5 5 5 5 6 6 7 6 6 5 5 3 2 3 5 7 8 8 8 8 9 8 8 8 7 6 3 2 3 5 8 9 10 9 6 4 2 0 -0 1 2 3 4 5 5 5 5 5 6 6 7 8 6 5 5 7 7 5 5 6 8 12 14 12 8 6 5 4 4 4 4 4 5 6 6 5 5 4 4 4 3 3 2 1 1 2 2 2 2 1 1 0 0 0 1 1 1 1 2 3 4 4 3 2 2 1 1 1 1 2 3 3 4 5 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 1 1 1 1 2 3 4 4 3 2 4 10 15 15 8 2 0 1 4 8 11 11 10 9 7 6 6 5 4 5 7 8 6 3 3 4 4 5 6 6 6 7 7 6 6 4 3 3 3 4 4 3 3 4 4 4 4 3 3 3 3 3 4 4 4 2 1 1 1 2 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 3 4 4 5 5 5 5 4 4 5 5 5 5 5 6 6 5 4 4 5 5 5 5 8 13 16 15 11 8 7 6 5 7 8 9 12 2 -10 -4 8 12 12 12 11 9 7 5 5 5 5 6 7 8 9 12 16 20 19 14 11 12 11 6 2 1 -0 -1 -2 0 7 10 6 6 4 1 5 12 7 9 3 7 15 11 4 4 8 8 12 14 12 17 19 8 0 9 22 18 12 11 10 9 -2 -4 4 8 6 4 7 15 17 15 18 15 4 4 9 6 6 10 14 7 18 30 16 3 -5 -2 8 10 11 12 11 9 6 5 4 7 13 13 7 5 6 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 4 4 5 5 4 4 5 4 4 5 5 5 5 5 5 6 6 6 4 3 4 4 4 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 6 5 4 4 5 4 4 4 4 4 4 5 5 5 6 5 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 4 5 5 5 6 5 5 5 4 4 4 5 5 5 5 6 6 6 6 5 4 1 -1 -0 3 6 7 8 8 8 8 9 9 9 8 7 5 3 1 2 5 8 11 12 8 4 2 0 -2 -0 2 3 4 4 4 4 5 5 5 6 7 8 8 5 4 5 5 5 5 5 5 8 11 11 9 8 8 7 6 5 5 5 6 6 7 7 7 7 6 5 5 5 3 2 2 3 4 4 3 3 2 2 1 0 -0 1 1 2 2 2 4 4 3 3 2 2 2 1 1 2 3 3 4 5 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 1 1 0 1 1 2 3 3 3 3 8 13 15 9 1 -3 -3 -2 2 6 9 11 11 9 7 6 5 4 5 7 7 4 3 3 5 5 5 6 7 7 6 6 4 3 2 2 3 4 6 5 4 3 4 5 5 5 3 2 2 2 4 5 6 5 4 2 1 2 2 4 5 5 5 5 4 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 6 6 5 4 4 5 5 5 6 9 14 15 11 8 7 7 6 5 6 7 6 1 -8 -17 -4 8 10 9 10 10 8 6 5 5 5 5 5 7 9 11 13 20 23 19 15 14 14 8 4 5 4 0 -0 -1 -2 2 4 4 5 4 7 6 7 14 9 2 6 10 9 8 8 8 7 9 8 8 14 15 7 1 5 14 14 12 13 8 1 -8 -1 12 11 7 5 8 8 5 8 10 5 0 6 12 9 1 7 21 19 26 26 12 -1 -5 5 18 20 17 15 12 8 6 5 5 7 12 13 8 5 5 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 4 5 4 5 4 4 4 4 5 4 5 5 5 6 6 7 6 5 5 5 4 4 4 5 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 4 4 5 5 5 6 6 6 5 5 5 4 4 4 4 3 3 3 3 2 3 4 4 4 4 5 5 6 6 6 5 5 5 4 4 5 5 5 6 6 6 6 5 4 2 -1 -2 -1 2 4 6 7 7 8 8 9 9 9 9 7 6 4 2 1 2 5 10 14 12 7 4 1 -1 -0 1 3 3 4 3 3 4 4 5 5 7 8 9 7 5 4 5 6 6 5 5 6 7 8 9 9 9 8 6 5 6 7 6 6 7 8 8 9 9 8 7 6 5 3 2 3 4 5 5 4 3 2 2 2 1 2 2 2 2 2 3 4 4 4 4 4 3 2 3 3 3 4 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 3 2 1 1 1 2 3 4 3 4 6 10 14 12 5 0 -1 -2 -2 0 3 7 11 12 10 8 5 4 5 6 7 6 5 5 5 5 4 5 6 6 7 7 6 4 3 2 2 4 7 7 6 4 4 7 8 7 5 2 2 2 4 5 5 5 4 3 2 2 3 4 5 6 5 5 5 5 4 3 3 4 5 4 4 5 5 5 5 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 5 5 5 5 5 6 7 12 14 10 8 7 7 6 6 7 6 4 -2 -9 -9 2 8 8 7 7 8 7 6 5 5 5 5 6 8 11 13 17 23 22 15 13 13 8 6 3 1 -2 2 5 7 6 3 5 6 6 6 8 4 4 15 9 2 5 7 9 11 11 8 7 8 5 3 7 8 4 -2 -1 8 13 9 8 7 2 -4 6 17 10 3 -2 -7 -8 -3 3 3 -2 -1 6 10 7 1 4 14 23 30 22 8 -2 -2 12 25 24 19 14 10 7 6 5 5 5 10 14 10 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 6 7 7 6 4 3 4 4 5 5 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 4 4 5 5 5 5 6 6 6 5 5 5 5 4 4 4 3 3 4 5 5 5 5 6 6 6 6 6 6 6 5 5 4 5 6 6 6 6 6 6 5 3 1 0 1 1 2 4 5 6 6 7 8 9 10 10 9 8 7 5 3 3 3 4 7 13 14 9 5 2 1 1 2 2 4 4 3 3 3 4 4 6 7 9 10 8 6 5 5 6 6 6 6 6 6 6 8 9 9 8 7 6 6 8 7 6 5 6 7 8 9 9 8 7 6 5 3 3 4 5 6 5 5 4 3 2 3 2 2 3 3 3 3 4 4 4 5 5 6 5 5 5 4 5 5 5 5 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 4 3 2 3 4 4 4 5 6 6 8 11 12 8 5 2 1 -1 -2 1 4 8 12 14 12 8 5 4 5 6 7 8 7 5 3 3 3 4 5 7 10 11 9 6 3 2 3 6 7 6 5 5 9 12 10 6 4 3 3 3 3 3 3 4 3 3 2 3 4 5 5 5 5 6 6 5 4 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 5 5 5 5 6 7 7 12 13 11 9 7 7 7 7 7 6 5 3 0 2 7 8 7 6 6 6 5 5 5 6 6 8 9 12 14 17 20 21 17 11 10 9 5 6 4 -6 -4 4 5 7 11 11 11 9 7 8 5 -0 3 8 2 1 4 6 7 11 11 6 8 9 7 7 7 5 5 3 8 18 16 6 -1 8 9 7 11 11 4 2 -1 -8 -7 1 3 -4 -7 -1 6 5 2 2 4 8 24 28 17 5 -1 3 15 22 20 15 11 8 6 5 5 4 5 11 16 11 5 5 5 5 5 5 5 4 4 4 4 4 5 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 4 4 4 5 6 5 4 3 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 6 6 6 6 5 5 6 6 6 5 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 6 6 7 7 7 7 6 6 3 2 5 7 4 4 6 5 5 5 5 7 9 9 9 9 8 8 7 5 4 4 4 5 11 14 11 6 2 1 2 2 3 4 4 4 3 3 4 5 6 8 10 10 9 8 6 5 6 7 7 8 7 6 6 7 8 8 9 8 7 6 6 6 6 6 5 5 6 7 8 8 8 8 6 4 3 4 6 6 7 6 5 4 4 3 3 4 4 4 4 4 5 4 4 5 6 6 6 7 7 6 6 5 5 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 6 6 5 3 3 4 5 6 5 5 6 7 8 8 10 9 8 6 4 3 2 2 6 8 8 11 14 14 11 7 4 4 5 7 8 7 4 2 2 2 2 3 5 9 13 13 9 4 2 2 4 5 6 6 7 9 12 11 7 5 4 3 2 1 1 1 3 4 4 3 4 5 6 5 5 5 5 6 7 6 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 4 5 5 5 6 5 5 5 5 5 4 4 5 5 5 6 6 6 6 5 5 6 7 8 8 9 14 16 10 7 8 7 7 5 5 8 6 5 8 8 6 5 4 4 4 4 4 5 6 8 12 14 15 16 17 18 16 11 8 9 7 5 6 1 -12 0 6 5 6 9 12 10 6 5 6 2 -1 2 5 3 3 6 4 4 14 12 6 6 11 13 11 5 3 3 9 21 30 22 9 2 9 10 7 10 7 0 -1 -4 -5 6 21 12 -6 -7 2 3 -2 1 6 7 11 23 24 13 4 2 8 15 17 15 12 8 5 4 5 4 3 6 12 12 7 5 6 5 6 5 5 5 4 3 3 4 5 5 4 3 3 3 4 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 3 3 4 5 5 4 5 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 7 6 6 6 6 6 6 5 6 5 6 6 6 6 6 6 6 6 6 5 5 6 6 6 5 5 6 6 5 5 6 6 6 6 6 6 7 7 7 7 8 7 7 7 4 3 7 11 7 6 6 6 5 3 4 6 8 8 8 7 7 7 6 6 6 5 5 5 9 12 12 7 3 3 3 4 4 4 4 4 4 4 5 5 6 7 9 10 10 9 7 6 6 7 8 8 7 6 5 6 7 7 8 7 6 5 4 4 4 5 5 4 4 5 5 7 9 9 8 6 5 5 5 5 6 7 7 6 6 5 5 5 5 6 6 6 5 5 5 5 5 6 6 7 7 7 7 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 4 2 1 2 4 6 7 7 6 5 6 8 9 9 9 7 6 3 2 2 3 7 13 16 14 12 13 14 12 9 6 4 5 7 8 6 3 2 2 2 1 1 2 4 9 11 9 6 3 2 3 4 6 7 8 7 8 8 8 7 6 5 3 1 0 0 2 4 5 4 4 5 7 5 4 4 4 6 7 7 6 5 4 4 4 4 4 4 4 5 5 6 5 5 4 4 5 4 5 5 5 5 5 6 6 5 5 4 4 4 5 5 6 6 6 6 6 6 7 9 9 8 8 17 17 9 8 9 8 6 1 0 2 3 5 7 7 5 3 3 3 4 4 4 5 7 11 16 15 14 14 13 12 10 9 11 11 9 7 5 -3 -7 1 8 4 5 10 11 7 1 1 2 3 8 6 3 5 8 10 7 7 12 9 4 4 14 9 -1 -1 5 8 15 23 25 19 10 4 4 2 -1 7 9 3 -5 -11 -5 15 33 18 -7 -3 6 1 -6 -0 8 12 17 22 18 10 4 5 10 14 14 12 9 7 5 5 5 3 3 6 10 9 6 6 7 6 6 6 6 5 5 4 4 5 5 5 4 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 5 5 6 6 5 3 3 3 4 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 7 8 8 8 7 7 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 8 8 8 5 4 8 11 9 7 7 7 5 3 4 5 6 7 7 6 5 5 5 6 7 7 7 7 8 11 11 7 4 4 5 5 5 5 4 4 5 5 6 5 6 7 7 9 10 9 8 6 6 7 8 8 6 6 6 5 6 6 6 6 5 4 2 2 3 4 5 5 5 5 5 5 6 8 9 8 7 5 4 4 5 6 7 7 7 8 7 6 6 7 6 6 6 6 6 6 6 5 5 6 6 6 6 6 7 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 2 0 1 3 5 7 9 10 8 6 6 8 9 9 9 7 4 2 -0 -0 2 8 16 20 17 14 13 13 13 11 9 8 7 8 8 6 3 3 3 2 1 0 0 1 3 6 7 5 4 2 1 4 7 8 7 5 4 5 6 7 7 7 6 4 2 1 2 5 6 5 4 5 6 6 4 4 4 4 5 7 7 6 5 4 5 4 4 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 6 6 5 5 5 4 4 4 6 7 7 7 6 6 8 9 9 9 7 10 18 16 9 9 11 10 8 3 -3 -4 1 5 6 5 4 4 4 3 4 4 5 6 11 15 13 10 11 12 10 8 9 12 15 13 10 6 -0 -1 7 8 4 1 4 12 14 6 1 2 4 9 12 7 1 3 10 15 14 10 5 3 -1 2 9 -1 -7 6 15 17 16 17 14 10 7 5 7 8 6 7 8 7 0 -5 -3 14 26 12 -3 2 10 6 1 5 11 16 19 18 12 7 5 8 11 13 12 9 8 6 5 5 4 2 2 5 8 9 8 8 9 8 7 8 6 5 5 5 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 4 4 4 5 4 4 3 2 3 5 6 6 6 6 7 7 5 4 3 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 6 6 5 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 6 8 7 4 4 8 9 8 7 7 7 6 4 3 4 5 6 6 6 4 4 4 6 8 9 9 9 9 11 11 7 4 4 5 5 5 5 4 5 5 6 6 6 6 7 7 8 9 9 9 7 6 7 7 7 6 6 6 6 5 5 5 5 5 4 3 2 2 3 4 5 6 6 6 5 5 6 7 8 7 5 3 3 3 5 6 7 7 8 8 7 7 7 6 5 5 5 6 7 7 6 5 5 4 4 4 5 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 3 3 5 7 8 10 11 11 9 8 8 8 8 8 9 9 6 3 1 -0 2 6 12 16 17 15 13 12 11 12 12 11 9 9 8 6 3 3 3 3 3 2 2 2 3 5 5 4 3 2 3 5 7 7 6 4 3 4 5 7 7 7 7 6 4 2 2 5 7 6 4 4 5 5 4 3 4 4 4 5 7 7 6 5 4 4 5 5 5 5 4 4 4 4 5 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 6 7 7 6 6 7 9 10 9 7 6 12 19 16 10 11 13 12 11 11 10 4 3 4 5 5 5 5 5 4 4 4 5 9 15 14 8 9 11 10 11 11 13 16 15 11 7 3 1 6 11 6 2 4 6 12 13 6 4 5 7 11 10 5 5 6 10 16 15 6 1 1 -2 2 5 -1 -1 13 15 14 14 13 8 6 5 5 10 16 15 10 7 7 5 2 -0 4 13 12 9 10 11 11 10 12 17 20 19 14 8 4 6 9 11 11 10 8 6 5 5 5 3 1 3 5 6 8 9 10 10 9 8 8 8 6 5 5 5 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 3 2 2 3 5 7 8 6 6 5 5 5 4 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 3 4 4 5 5 5 5 6 7 7 7 7 7 7 8 8 8 8 7 5 5 6 7 8 8 8 8 8 7 6 6 6 6 6 7 7 6 5 4 4 4 4 4 5 5 5 5 5 6 5 5 5 4 4 5 6 7 6 4 4 7 7 7 7 7 7 7 5 3 2 3 5 6 6 5 4 4 6 8 10 11 10 10 12 11 7 3 2 5 6 6 5 5 5 5 5 6 6 6 6 6 8 8 9 9 9 7 7 7 7 7 7 6 6 6 6 5 6 5 5 5 5 5 4 4 5 6 7 7 6 5 4 5 6 5 4 3 3 3 4 5 6 7 7 8 8 7 7 6 6 5 5 4 5 6 7 6 6 5 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 9 11 10 10 11 10 8 8 8 8 8 8 9 9 8 6 3 2 3 5 9 12 15 14 12 10 9 10 11 11 9 8 7 5 4 4 3 3 5 9 9 8 8 8 6 4 2 3 4 6 6 4 4 4 4 5 6 7 6 5 5 5 5 4 3 4 6 6 5 4 3 3 3 3 4 4 4 4 6 7 7 6 5 5 5 5 6 5 5 4 3 4 4 4 4 4 4 4 4 5 6 5 6 6 6 5 4 4 5 6 7 7 7 7 9 11 10 7 6 8 16 22 17 10 9 12 13 11 15 14 7 4 4 5 5 5 5 6 5 5 5 7 13 15 11 8 10 8 10 15 18 18 17 14 10 5 1 5 12 12 2 -1 3 9 8 7 5 6 8 8 10 6 8 12 12 13 14 8 3 3 2 1 5 7 8 13 15 11 10 13 11 6 3 1 -0 4 10 12 9 5 4 4 8 4 -6 2 11 13 13 11 10 9 10 15 17 14 9 4 2 6 10 11 9 8 7 5 4 5 4 1 0 4 7 6 6 8 9 10 10 8 8 8 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 3 2 2 3 5 6 6 5 4 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 2 3 3 3 4 4 5 5 6 7 6 5 5 6 6 6 6 5 4 3 4 5 6 7 8 8 8 8 8 7 8 7 7 8 8 7 6 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 3 4 6 7 7 5 5 5 5 6 6 6 7 7 6 3 1 2 4 6 6 6 5 5 6 8 10 12 12 12 13 12 8 2 1 4 6 6 6 7 6 6 6 6 6 5 5 5 6 8 9 9 9 8 7 6 6 7 7 7 6 6 6 6 6 6 6 7 7 7 6 5 5 5 6 7 7 7 5 4 5 4 4 3 4 4 4 4 5 6 7 7 7 7 7 7 7 6 5 4 5 5 6 6 6 6 5 5 4 4 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 7 7 9 11 11 9 8 6 4 4 5 6 7 7 8 9 9 8 5 3 3 5 8 11 13 12 10 8 7 6 7 7 6 6 6 6 6 5 5 6 10 15 16 13 12 11 9 6 4 4 6 5 4 2 2 4 5 6 8 8 5 4 4 4 4 4 3 2 3 6 6 5 2 1 1 3 4 4 4 4 5 5 6 7 6 6 5 5 5 5 5 4 4 3 3 4 5 4 3 4 5 5 5 6 6 6 6 5 4 4 5 6 7 8 8 9 11 10 7 6 8 13 23 26 17 9 7 11 11 4 5 3 2 3 4 5 6 6 6 6 6 5 5 8 14 14 8 6 6 5 9 16 19 19 17 13 11 7 2 5 7 9 6 0 4 12 8 3 1 4 8 8 7 3 7 12 12 14 11 5 4 7 7 7 9 10 13 17 16 11 8 10 5 0 -2 -4 -4 -1 5 8 7 4 1 3 10 6 -4 1 9 13 13 10 8 8 12 15 13 7 2 1 4 7 10 10 9 8 7 5 4 4 4 1 1 6 8 7 6 6 8 11 11 8 7 7 6 5 5 6 5 4 4 4 4 5 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 4 5 5 4 4 4 3 3 3 4 5 5 4 4 4 4 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 3 3 3 4 4 3 3 3 2 2 3 3 4 5 5 4 3 3 2 2 3 3 2 2 2 2 3 4 5 6 7 8 9 9 8 9 8 8 9 9 8 7 6 5 6 7 7 7 7 7 7 7 7 7 6 5 5 4 5 7 9 8 5 4 5 6 6 6 6 7 7 7 3 1 2 5 6 7 7 6 5 6 8 9 11 14 15 15 14 8 3 2 4 5 5 6 7 6 6 6 5 5 5 4 4 5 7 7 8 8 8 7 7 7 7 7 7 7 6 7 7 6 6 7 8 8 7 7 7 6 6 6 6 7 7 7 6 6 5 4 4 6 6 5 4 5 6 6 6 6 6 6 6 6 7 6 6 5 5 5 6 6 6 6 5 5 5 5 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 2 3 6 9 10 9 5 1 -1 -0 2 4 6 6 7 8 9 8 6 5 4 5 6 8 10 10 9 8 7 6 5 4 3 4 4 6 6 6 6 8 13 15 14 10 7 9 12 10 6 5 6 5 3 2 2 3 6 8 9 7 5 3 3 3 4 4 4 2 3 4 6 6 3 1 2 3 4 4 4 4 4 5 5 6 6 7 6 6 5 5 5 5 5 4 4 4 4 4 3 4 5 5 5 6 6 6 6 5 4 4 5 7 8 8 9 11 12 8 6 8 15 25 33 26 14 7 4 2 2 -3 -3 0 1 3 4 5 6 6 7 7 6 5 5 8 13 13 7 5 6 7 9 11 14 15 14 10 11 10 6 4 3 10 10 5 7 10 9 4 2 2 6 8 2 1 7 7 6 9 8 6 6 9 10 12 13 13 11 8 5 2 3 3 0 -3 -4 -9 -6 0 5 8 8 5 1 2 9 9 5 5 10 12 11 8 8 11 16 15 8 0 -1 5 8 7 9 9 9 8 7 4 3 5 4 2 3 6 7 7 6 5 9 14 13 8 5 5 6 6 6 5 5 4 4 5 5 5 5 4 3 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 3 3 3 3 4 4 4 5 6 6 6 5 5 4 3 2 2 2 3 2 3 3 2 1 1 2 2 2 2 3 4 3 3 3 4 6 7 8 8 8 8 9 10 12 11 8 6 6 6 7 8 8 8 8 8 7 7 7 6 6 6 6 6 7 9 10 8 6 5 5 6 7 6 6 7 7 7 3 -0 2 5 7 8 7 6 6 6 8 9 11 14 17 17 14 9 5 2 3 4 4 4 5 6 6 5 5 5 5 4 4 5 5 6 7 8 8 8 8 8 7 6 6 6 6 7 8 7 6 6 7 6 6 7 8 7 7 6 6 6 6 7 7 7 7 7 6 7 7 6 4 5 5 5 6 6 6 6 6 6 6 6 7 6 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan -1 0 5 8 9 9 3 -1 -2 -1 1 3 5 6 6 8 9 8 7 7 6 4 4 4 5 7 10 12 13 12 8 5 4 4 4 4 4 4 5 9 12 11 8 3 1 4 11 14 10 6 4 4 3 3 3 4 7 10 10 8 5 3 3 3 4 5 5 3 2 4 5 6 5 3 2 3 4 5 5 4 4 5 5 5 6 6 6 6 6 5 5 5 6 5 5 4 4 4 4 4 5 5 5 5 6 6 6 5 4 4 6 7 8 10 12 13 9 7 11 19 29 37 36 20 7 4 -1 -9 -11 -10 -5 0 2 3 4 5 5 6 6 6 6 5 5 7 10 12 11 8 10 14 10 6 6 9 10 9 8 10 9 4 9 9 9 13 10 6 8 6 4 3 4 6 4 6 10 3 4 7 7 7 8 9 10 10 9 7 4 2 -2 -5 -2 1 1 -2 -5 -13 -5 4 7 6 5 2 1 5 10 11 8 4 7 9 7 6 6 8 11 11 4 -2 4 13 12 8 9 9 8 7 6 4 4 5 4 3 4 5 6 7 5 7 13 16 12 6 4 4 7 8 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 6 6 6 5 5 4 4 4 4 4 4 3 3 5 6 7 7 7 8 9 9 8 7 6 5 3 2 2 2 3 3 4 5 5 5 5 6 6 7 7 8 8 7 5 4 4 5 6 7 8 9 10 12 12 9 7 6 6 6 8 9 9 9 9 8 8 7 6 6 7 7 7 7 9 12 12 9 6 5 5 6 7 7 7 7 7 6 2 -1 1 5 7 8 8 6 6 7 8 9 11 14 18 18 15 11 6 3 3 4 4 4 6 6 6 5 5 5 5 4 4 5 5 6 7 7 7 8 8 8 7 7 6 5 6 7 8 8 7 6 6 6 6 6 7 7 7 6 6 6 6 6 7 8 9 9 8 7 6 6 4 4 4 4 5 6 6 6 6 6 6 6 7 8 7 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 -1 1 5 7 8 8 5 2 1 2 3 4 5 5 6 7 8 8 7 7 7 4 1 0 1 3 8 13 17 16 13 9 8 8 6 3 1 1 3 7 10 10 6 2 -1 1 8 15 15 8 3 2 2 3 4 6 11 14 14 11 6 4 3 3 4 5 5 5 3 4 5 6 6 5 4 3 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 5 5 7 8 9 12 14 11 7 11 23 33 36 33 24 13 6 4 -2 -8 -13 -11 -4 -0 1 3 4 4 5 6 6 6 6 6 6 6 8 13 14 11 12 17 14 6 2 5 8 8 6 7 9 7 10 6 10 11 8 5 6 6 4 1 2 5 11 13 9 6 9 11 9 8 9 9 7 4 1 0 1 1 -2 -3 -2 7 8 -0 -3 -6 3 9 10 8 3 -1 -0 7 10 6 5 6 6 8 7 6 5 7 10 9 3 4 13 18 13 9 9 8 8 7 6 5 6 5 4 4 5 5 6 6 6 10 16 14 7 3 2 5 8 9 7 5 5 5 5 6 6 6 5 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 7 6 6 6 5 5 5 4 3 4 4 4 4 4 4 5 6 8 9 9 8 8 8 8 9 8 8 7 6 5 5 5 6 6 8 9 10 11 10 10 11 11 12 14 16 15 11 6 4 4 5 7 8 10 10 10 9 7 5 5 6 6 8 9 9 9 9 9 9 8 8 7 8 7 8 10 12 15 14 10 7 6 6 6 6 7 7 7 7 5 2 -0 2 5 7 8 7 6 6 8 9 10 12 15 18 19 17 13 7 3 3 4 4 4 7 7 6 6 5 4 4 4 4 5 6 7 7 7 6 6 7 8 8 7 6 6 6 6 6 7 7 6 6 6 7 7 7 7 7 6 6 5 5 6 7 8 9 9 8 7 6 6 5 3 3 4 4 4 5 5 6 6 6 6 7 8 7 6 6 5 6 6 6 6 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 nan
nan 1 4 5 6 7 7 6 5 5 6 7 8 7 5 5 6 7 7 7 8 7 4 0 -2 -1 1 3 8 11 13 12 11 12 13 11 6 2 1 2 4 8 11 8 5 1 1 6 14 15 10 4 1 2 3 5 8 13 15 15 12 8 5 3 3 4 5 6 5 4 4 4 5 7 7 5 5 4 5 5 5 5 6 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 5 6 6 5 5 6 8 9 12 16 13 8 10 21 33 37 30 16 7 4 7 11 10 5 -4 -5 -3 -1 1 3 4 4 5 6 6 6 6 7 7 7 9 14 15 10 10 16 15 9 5 4 5 6 6 5 4 9 9 9 10 5 7 9 5 5 3 1 1 9 16 14 4 10 17 18 11 8 7 7 3 -0 -0 2 4 4 5 5 3 16 12 2 -2 -3 6 12 13 10 4 -0 1 8 11 4 3 8 11 9 6 5 8 11 16 11 6 12 20 18 12 9 8 9 8 7 7 7 6 4 3 3 4 6 6 6 8 12 16 12 4 2 2 5 9 9 7 5 5 5 6 6 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 5 5 5 5 4 3 3 3 4 4 5 5 4 4 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 11 11 12 12 12 12 12 11 13 14 16 17 15 11 7 6 7 8 8 9 8 7 6 5 5 5 5 6 8 9 10 9 9 10 10 10 11 11 11 10 10 13 16 17 14 10 8 8 7 6 6 6 7 7 7 6 3 2 3 5 7 8 7 7 7 8 10 12 12 14 17 20 19 15 9 4 3 4 4 4 6 8 6 6 4 3 3 3 3 5 7 7 8 7 6 6 6 7 8 7 7 6 6 6 5 6 7 6 5 5 6 8 8 7 7 7 6 5 5 5 6 7 8 8 7 6 7 6 6 5 5 4 4 3 4 4 5 5 5 5 6 6 6 6 6 5 5 5 6 6 7 7 7 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 4 6 7 7 7 6 6 6 8 11 13 12 8 5 5 5 6 7 8 8 6 2 1 1 2 2 3 4 6 7 8 11 14 14 11 6 4 4 4 6 9 11 9 5 3 4 9 11 9 4 3 3 5 8 9 9 9 10 9 7 5 3 3 4 4 5 5 6 5 4 5 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 6 6 5 6 8 9 12 16 17 11 8 15 23 30 32 24 10 -0 2 14 21 20 13 2 -2 -1 -0 1 3 4 5 6 7 7 7 7 8 8 9 13 16 15 10 9 13 14 12 9 5 2 3 6 5 3 9 12 15 8 7 10 9 3 3 4 5 4 10 17 12 2 10 19 16 11 6 5 4 0 -1 2 6 8 11 14 13 11 14 7 4 -4 -6 3 11 8 5 6 6 5 8 10 10 9 8 9 9 5 5 10 15 16 9 9 16 19 15 10 8 8 9 8 8 8 7 5 4 3 2 5 6 6 6 8 13 15 9 3 2 4 6 8 8 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 3 3 3 4 4 5 5 6 5 4 5 6 5 5 5 5 6 6 7 7 6 7 8 8 9 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 10 12 13 13 11 10 9 8 7 7 5 4 4 5 5 5 5 6 8 9 10 10 10 10 10 11 13 15 14 13 14 16 17 16 13 11 11 10 8 7 7 6 7 8 8 7 6 4 3 5 6 7 7 7 8 8 10 12 11 12 16 19 20 17 12 6 4 4 4 5 6 7 6 5 4 2 2 2 3 4 6 7 8 8 7 6 5 6 6 7 7 7 7 6 6 6 6 6 6 5 5 5 7 8 7 7 7 7 6 5 5 6 6 6 6 6 6 7 7 7 6 6 5 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 5 8 10 10 9 7 5 6 12 18 19 13 7 5 5 6 7 8 7 6 5 4 5 4 3 3 2 2 4 5 7 10 13 13 11 7 5 4 5 7 11 14 12 8 4 4 7 7 6 6 5 7 9 8 5 3 3 5 5 4 2 2 3 4 5 5 6 6 6 5 5 6 7 6 4 3 3 4 4 4 5 5 5 5 5 5 5 5 7 7 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 6 8 9 13 19 21 16 9 10 12 12 19 27 24 16 10 10 17 19 16 9 1 -2 -2 0 2 4 6 7 8 8 8 7 8 12 13 13 15 15 14 11 10 11 12 13 12 7 3 2 6 11 9 0 0 5 4 10 12 6 0 -1 3 5 3 6 13 13 10 12 14 10 8 5 3 2 -0 1 5 6 7 11 15 14 13 10 6 5 -1 0 0 3 2 2 6 10 10 11 9 9 9 6 4 7 9 5 8 13 9 6 11 14 13 10 8 7 8 9 9 8 7 6 5 3 2 3 5 7 7 6 6 11 13 7 3 4 5 6 8 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 3 3 3 2 3 3 4 4 5 6 6 5 5 4 4 4 5 4 4 5 6 6 6 6 6 6 7 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 7 7 8 10 12 11 10 8 6 4 3 3 3 5 5 6 6 6 8 9 10 10 10 9 10 11 13 14 15 15 16 18 17 14 13 13 14 12 10 9 7 6 6 8 9 9 7 5 3 4 6 7 7 8 8 9 9 9 8 8 11 15 18 18 13 7 4 4 3 5 7 7 5 5 4 2 1 1 2 4 6 6 8 9 8 7 6 5 5 6 7 7 6 7 6 5 6 6 6 6 5 4 5 6 7 7 8 7 7 6 6 5 5 5 5 5 5 6 7 8 7 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 7 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 5 8 11 12 11 9 6 5 9 18 21 17 11 7 7 8 8 7 6 4 4 4 4 4 4 3 2 2 2 3 4 5 8 11 12 9 6 4 4 5 9 14 18 15 9 5 5 6 7 7 8 9 9 7 4 2 2 4 4 3 2 3 4 5 5 5 5 6 7 7 7 7 7 7 4 3 3 3 3 3 4 5 5 5 5 5 5 5 6 7 7 6 6 6 5 5 6 5 4 4 3 3 4 4 5 8 11 15 21 25 22 11 3 4 5 5 14 22 20 16 13 7 8 5 4 2 -1 -3 -2 1 3 4 6 7 8 8 7 7 11 16 16 13 12 12 12 12 8 9 13 15 12 8 4 2 6 12 7 -6 -6 1 6 7 8 4 2 1 5 2 1 5 11 15 16 14 12 8 6 5 2 1 0 4 9 8 8 12 14 12 10 8 4 5 15 17 4 -1 3 4 7 9 11 12 10 9 6 3 4 15 16 4 6 9 7 9 13 12 10 7 7 8 8 8 8 8 7 5 4 2 2 4 7 8 7 4 4 10 12 8 4 5 6 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 4 3 3 2 3 3 3 4 4 5 5 6 6 6 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 8 8 8 7 7 7 8 8 9 9 9 10 10 11 11 11 10 9 8 8 8 9 9 8 6 4 3 2 3 4 5 7 7 7 8 8 9 9 9 9 9 9 9 10 12 14 15 15 17 16 14 14 14 14 13 13 10 7 6 8 9 9 9 8 4 2 4 6 7 8 8 8 8 8 8 6 5 5 10 18 21 16 8 4 4 4 4 6 6 5 4 4 3 2 1 1 3 5 6 7 8 9 8 6 6 6 6 6 7 7 6 6 6 6 6 7 7 6 5 5 5 5 6 7 8 8 8 7 5 5 6 6 5 5 5 5 6 8 8 6 6 4 4 4 5 5 5 5 6 6 5 5 5 6 7 7 7 7 6 6 6 7 8 7 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 6 7 8 10 12 11 8 6 6 10 15 16 13 12 11 11 9 6 4 3 2 2 2 3 3 3 3 2 3 3 3 3 4 6 8 9 7 6 4 4 6 11 19 21 15 8 5 4 5 6 6 8 9 8 6 4 4 4 4 3 3 4 5 6 5 4 4 5 7 8 9 9 8 7 5 4 3 2 2 2 3 4 4 4 4 5 5 6 6 7 7 7 6 6 5 6 6 6 5 3 2 3 4 5 8 14 17 20 21 20 14 3 -6 -2 4 5 10 15 14 15 11 1 -7 -12 -8 -3 -2 -2 -1 1 3 5 6 7 8 8 9 10 15 19 14 9 8 9 10 9 5 6 15 15 10 6 4 3 7 10 4 1 7 12 9 4 4 4 4 9 13 6 2 4 11 17 17 15 10 7 5 5 2 1 1 5 10 7 5 9 11 8 7 7 5 12 24 20 8 3 2 3 6 8 8 8 9 9 7 4 8 20 15 4 8 11 10 13 13 12 9 7 7 7 7 7 8 7 7 5 3 2 3 5 7 7 6 4 4 9 12 9 6 7 7 7 7 7 8 8 7 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 4 3 2 2 3 4 5 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 5 5 5 4 5 5 5 6 6 7 7 6 7 7 8 9 9 10 10 11 12 13 14 15 14 13 12 11 10 9 8 7 6 5 4 3 3 3 4 6 7 8 8 8 8 8 8 8 9 8 8 8 10 12 16 17 15 13 14 13 13 14 14 14 13 10 8 9 10 11 10 9 7 3 3 6 7 7 8 8 7 7 8 8 7 5 3 7 16 26 25 14 6 5 5 4 5 4 4 4 4 4 3 1 1 3 4 5 7 8 8 7 7 6 6 6 6 7 8 7 6 6 6 7 7 6 6 6 6 5 5 5 5 6 7 8 7 6 6 7 6 6 6 5 5 5 6 7 6 6 5 5 5 5 5 5 5 6 7 6 6 6 7 8 8 8 8 7 6 6 7 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 9 8 6 7 9 10 7 5 3 4 6 7 7 7 6 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 6 6 7 7 6 6 7 10 13 12 9 5 5 7 9 10 6 3 3 4 5 6 6 5 5 4 3 3 3 4 5 6 7 7 5 4 4 4 4 4 5 6 6 7 10 13 11 8 8 8 9 6 4 3 2 1 2 4 5 6 7 7 7 6 6 6 5 5 6 13 20 16 5 -1 -1 -2 -0 5 8 7 5 7 26 22 25 27 8 -2 1 -1 -4 -3 -1 -1 1 3 5 6 5 5 5 9 15 15 11 11 12 12 9 9 11 9 9 13 11 7 3 4 9 10 7 3 3 6 1 3 5 8 8 6 5 9 11 6 3 2 5 8 10 17 22 18 12 8 5 3 2 5 6 -1 -8 -2 12 19 2 3 19 13 6 1 -3 3 14 12 -2 2 8 8 8 7 5 3 4 6 11 15 16 15 13 12 11 9 7 6 5 5 6 5 6 7 7 7 6 5 5 4 4 3 4 5 5 5 7 9 9 10 8 6 6 7 9 9 9 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 4 4 4 5 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 5 6 7 8 8 8 9 11 12 13 14 14 14 13 12 11 11 10 9 9 9 9 10 10 10 8 7 7 6 6 7 7 7 8 9 9 10 12 13 12 12 12 11 10 9 9 9 8 8 8 6 6 6 7 7 8 9 9 9 9 9 9 8 7 12 13 8 8 7 7 9 9 8 7 7 8 8 9 8 8 8 7 6 6 6 5 5 6 7 7 7 7 6 5 5 5 5 6 6 7 6 7 11 19 24 20 11 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 6 6 5 5 5 5 6 6 5 5 6 7 7 7 7 6 5 5 5 6 6 6 6 6 5 6 5 5 5 6 6 6 5 4 5 7 6 5 5 5 7 7 6 5 5 5 5 5 6 6 5 5 5 6 6 6 6 7 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 14 22 15 9 6 8 11 15 14 8 2 5 12 17 22 19 12 4 6 10 16 16 14 15 25 26 7 -3 1 9 15 17 15 12 12 13 10 10 12 13 13 15 17 17 15 15 13 11 12 14 15 15 12 10 9 8 12 18 21 20 16 14 16 17 14 11 9 10 13 15 15 15 14 14 17 21 22 19 10 4 8 10 10 10 9 9 8 9 9 10 12 12 11 11 12 13 13 13 12 11 12 13 14 14 13 12 12 12 11 11 13 16 16 16 15 13 13 13 12 11 10 10 11 12 13 13 14 14 13 12 13 13 13 13 14 13 13 13 13 14 16 16 16 15 16 17 17 17 16 14 14 16 17 18 17 16 15 14 14 14 14 15 14 13 13 14 16 17 17 15 13 12 9 9 13 14 13 12 12 12 13 14 14 14 13 12 12 12 12 12 11 12 13 14 14 14 16 17 19 20 20 18 15 13 13 16 20 23 21 16 13 13 15 15 15 16 15 14 13 12 14 15 18 18 18 17 17 16 16 16 15 16 16 17 18 17 14 12 11 13 15 15 10 6 8 11 13 14 16 18 18 16 14 12 12 11 11 11 11 11 12 11 12 13 14 15 15 15 12 10 11 11 9 8 7 9 11 10 9 8 9 9 9 8 8 8 9 9 10 11 11 11 11 12 11 11 10 10 10 10 10 10 9 9 9 9 7 6 7 10 11 11 12 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 11 12 13 14 15 15 14 14 13 13 14 13 13 13 12 12 11 11 11 10 10 10 10 10 11 11 12 13 13 13 12 11 11 10 11 11 12 11 11 16 18 17 14 15 18 16 13 12 10 8 8 9 11 13 14 15 15 15 16 16 16 17 18 20 24 28 30 29 28 27 25 22 18 14 14 14 13 11 10 10 10 9 8 8 8 10 10 10 8 9 10 13 14 13 13 12 11 9 9 9 10 11 12 13 12 11 10 10 11 12 12 13 12 10 9 8 8 8 7 7 7 7 9 11 12 12 12 13 15 15 14 13 12 11 11 11 11 11 12 12 11 10 11 11 11 12 13 13 12 11 10 10 10 11 11 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 11 7 6 13 18 17 13 11 13 17 4 -3 7 15 22 26 26 14 1 1 3 7 13 16 18 17 11 3 3 5 9 12 14 15 16 15 14 12 9 8 9 12 15 14 10 8 9 10 13 17 20 21 19 17 17 15 13 11 9 11 13 13 13 12 11 12 12 16 20 20 14 8 6 9 11 11 10 10 9 9 10 11 13 12 12 12 13 14 14 13 12 11 11 12 13 13 13 13 12 11 11 11 12 14 15 16 15 15 15 14 14 13 12 12 11 11 12 13 13 12 12 12 12 13 14 15 15 13 14 14 14 14 14 15 16 16 16 14 14 14 13 13 14 15 17 17 17 16 16 15 14 14 14 15 15 15 16 17 19 20 18 14 12 11 10 9 10 12 13 14 14 14 13 14 12 12 12 13 14 14 14 12 12 13 14 14 14 15 16 17 17 18 18 19 17 15 14 14 15 17 18 17 16 15 14 13 13 14 15 14 15 14 15 15 17 17 17 17 16 16 16 16 15 15 16 17 16 13 11 11 13 15 13 13 12 12 13 14 15 17 21 23 19 14 11 11 12 12 12 12 11 11 12 11 12 13 13 12 13 14 12 10 10 11 11 10 9 10 11 11 11 10 10 10 10 9 9 10 10 10 11 12 12 11 11 11 12 11 11 11 10 10 10 10 10 9 9 9 9 8 9 11 11 12 11 11 11 11 10 10 10 10 10 11 10 10 10 10 11 11 12 12 13 14 14 15 15 14 14 13 13 13 13 12 11 11 11 11 11 11 11 11 10 10 11 12 12 13 12 12 12 11 10 10 11 11 11 11 12 15 17 16 12 13 20 19 13 10 7 4 4 8 13 14 14 14 14 15 16 16 16 16 18 20 24 29 33 35 33 30 26 21 16 14 13 12 10 9 9 10 10 9 8 9 12 15 13 8 6 7 9 11 12 12 11 11 9 8 8 8 9 11 12 12 12 11 10 11 12 12 12 12 11 11 9 9 8 7 7 7 7 8 9 11 11 11 10 10 12 14 14 13 12 11 11 11 11 10 11 12 11 12 11 11 12 12 12 12 12 12 11 10 10 11 12 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 8 6 -5 0 11 21 22 20 14 17 16 8 2 3 10 16 18 16 10 3 1 7 12 15 15 14 14 12 11 9 7 7 9 13 17 14 10 9 9 10 12 14 16 18 17 16 16 15 14 13 12 10 10 11 10 10 10 10 11 12 15 18 18 11 6 9 11 12 11 10 9 10 11 13 14 14 13 14 14 14 14 13 11 10 11 12 12 12 12 12 11 11 11 12 13 13 14 15 16 17 17 15 15 15 15 14 12 11 11 12 12 12 12 12 13 13 14 15 14 15 16 16 15 15 16 16 17 17 15 13 13 12 12 12 13 13 14 15 16 17 18 18 16 16 15 16 19 20 19 19 18 18 18 15 13 12 11 10 10 12 13 15 16 14 14 13 12 12 12 14 16 16 15 14 13 14 15 15 15 15 17 18 17 16 16 18 18 17 15 13 13 14 14 16 17 17 15 12 13 13 14 16 16 16 16 16 16 16 16 15 14 16 16 15 15 16 16 15 13 10 11 14 18 15 10 11 13 15 15 14 15 16 17 15 11 8 9 11 13 13 12 12 13 13 12 12 13 13 12 10 10 12 13 13 12 12 12 11 10 10 11 11 11 11 11 10 11 11 11 11 11 12 12 12 12 11 11 11 12 12 11 11 10 10 10 10 9 9 8 8 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 9 9 10 11 12 12 13 13 14 14 15 15 15 14 13 13 13 12 12 11 11 11 11 11 12 12 11 11 10 10 11 12 12 12 12 12 11 11 10 11 11 12 12 13 14 15 15 15 14 16 14 9 6 6 8 10 12 14 14 14 13 13 15 16 16 15 15 17 20 25 30 34 36 33 28 23 18 15 13 11 11 10 10 11 12 11 11 10 10 12 12 10 8 7 9 10 10 11 11 11 11 10 9 8 8 9 11 12 13 12 12 11 11 12 12 12 11 10 9 9 9 9 9 9 9 8 9 11 12 10 9 10 10 11 12 12 11 12 12 11 10 11 11 11 11 11 11 12 13 12 12 12 12 11 11 10 11 11 11 12 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 20 14 13 22 18 8 -1 2 8 12 13 12 9 6 10 15 16 15 13 12 12 11 10 9 8 9 11 13 16 14 11 7 8 10 10 11 12 12 10 12 13 13 13 13 12 11 10 11 11 10 10 9 10 11 14 18 18 11 8 9 10 11 11 10 9 10 12 14 15 15 14 14 14 15 14 12 10 9 10 10 10 11 11 12 12 12 12 13 13 14 13 14 14 15 17 17 16 16 16 16 15 14 12 12 13 11 12 13 12 13 14 14 14 15 16 17 17 17 17 16 16 17 16 14 13 13 12 12 12 12 12 13 14 16 17 18 17 16 16 17 20 21 19 17 16 17 17 16 14 12 11 12 12 12 12 14 15 15 14 13 13 13 15 14 15 14 12 12 12 14 16 17 16 15 18 19 19 17 16 17 18 17 15 14 14 15 14 13 15 16 15 14 14 14 15 16 17 18 18 18 18 17 16 15 14 14 14 15 15 16 17 15 13 11 13 15 17 13 8 10 14 14 14 13 13 12 12 11 11 11 12 13 13 12 12 13 13 13 14 13 13 12 10 9 10 11 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 12 11 11 10 9 9 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 8 9 10 10 10 10 10 10 10 11 12 13 13 14 14 14 15 15 14 13 13 12 12 12 11 11 10 10 11 12 12 11 11 10 10 10 11 12 13 12 12 11 11 12 12 11 12 12 12 13 15 16 16 16 14 12 10 9 9 11 14 15 14 14 14 14 14 14 15 15 15 15 16 18 20 26 31 36 35 28 25 20 17 14 12 11 10 10 10 10 10 10 10 9 9 9 9 9 10 11 12 13 13 14 13 12 11 10 9 8 9 10 10 11 11 11 11 12 12 12 12 12 10 9 9 9 9 8 9 10 10 10 10 11 13 12 9 10 10 11 12 12 11 12 11 10 10 11 12 12 12 12 12 11 12 12 13 13 13 12 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 7 12 14 14 11 10 14 16 16 14 11 9 9 10 11 11 11 12 12 13 13 12 10 10 11 10 9 8 8 7 6 7 9 11 11 11 12 12 12 12 11 10 9 9 11 13 16 18 14 8 8 9 10 10 9 9 9 10 11 13 15 15 14 13 13 13 12 10 9 9 10 10 12 13 13 13 13 13 14 14 14 14 13 13 13 14 15 16 16 16 17 17 16 14 13 12 13 13 13 13 13 13 13 13 14 15 16 17 17 16 16 15 15 16 16 15 15 14 14 13 12 11 12 12 13 15 16 16 16 16 16 17 18 18 16 13 12 13 15 15 13 12 12 12 12 12 12 13 14 14 14 14 15 15 15 15 14 12 10 10 10 11 14 17 18 16 17 18 17 17 17 17 18 17 16 17 16 16 15 14 14 15 13 13 15 16 17 18 18 20 22 22 20 17 14 12 12 13 13 15 15 15 15 14 12 12 12 13 14 12 12 14 15 15 14 14 13 12 12 12 12 12 12 12 11 12 13 12 12 12 13 13 12 11 10 9 10 11 12 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 12 12 11 11 10 10 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 12 13 14 14 14 15 14 14 14 13 13 12 11 11 11 11 11 11 12 11 11 11 10 10 11 11 12 12 12 12 11 11 11 12 13 13 13 12 12 15 18 17 15 13 12 12 12 10 12 14 14 14 13 13 14 14 14 15 15 15 15 15 16 17 20 26 33 38 35 27 21 16 14 12 11 10 10 10 8 6 6 8 8 9 9 10 11 10 10 11 13 15 16 16 14 12 11 9 7 7 9 9 10 10 11 10 10 11 12 11 11 11 10 9 9 8 8 9 10 10 9 9 10 11 13 12 11 11 10 10 11 12 13 12 10 9 10 10 11 12 12 12 13 12 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 11 8 7 10 10 10 11 13 14 15 14 12 11 12 13 13 13 11 8 6 8 11 11 10 9 9 11 13 14 14 12 11 9 10 13 16 18 16 10 7 8 9 9 9 9 9 9 9 10 12 14 15 14 12 11 11 11 12 12 11 12 13 14 15 14 14 14 14 14 14 13 14 13 13 13 13 13 14 15 16 17 17 16 13 10 11 13 14 15 15 14 12 12 13 14 14 16 16 17 16 15 15 15 15 16 16 17 16 16 14 13 11 11 11 11 13 14 15 16 17 16 16 15 13 11 10 8 10 12 13 12 11 11 10 11 11 12 12 13 13 14 14 15 15 15 15 15 14 12 11 10 10 12 18 21 19 18 17 16 15 16 18 19 19 18 18 18 18 17 16 16 15 14 14 15 18 22 24 24 24 23 19 16 13 11 9 10 12 14 16 15 14 13 12 12 11 12 14 13 13 14 14 14 13 12 12 11 10 10 10 10 10 10 10 10 11 12 12 12 11 10 11 11 10 11 11 11 11 11 12 12 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 13 13 13 12 12 13 13 13 13 13 13 12 11 11 10 11 10 10 11 10 11 11 11 10 10 10 10 9 9 9 10 11 11 12 11 11 11 11 11 11 12 12 13 13 14 14 14 15 15 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 14 13 12 13 15 18 16 11 9 10 12 12 12 12 13 14 14 13 14 14 15 14 15 16 15 15 15 16 17 21 26 34 37 33 28 19 14 12 12 12 12 11 8 7 6 6 6 6 8 12 14 13 10 8 9 12 13 13 13 12 12 11 10 8 7 7 7 8 10 10 10 10 11 11 11 10 10 9 8 8 8 9 10 10 10 9 9 9 10 12 12 12 12 11 10 11 11 12 11 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 13 12 11 10 11 12 11 9 8 8 9 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 8 7 6 6 6 5 4 2 3 5 5 6 6 7 7 7 6 5 3 2 1 1 0 0 1 3 6 7 8 8 8 9 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 4 0 1 1 2 2 2 2 2 2 2 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 11 9 9 8 8 8 8 7 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 21 38 47 53 59 62 60 54 46 37 28 23 21 22 26 28 28 26 24 23 23 23 19 16 12 11 17 21 16 12 13 22 27 30 33 38 57 92 88 82 81 76 63 53 49 45 41 36 30 27 28 32 39 52 75 99 108 104 106 102 86 63 47 41 40 39 37 34 30 26 19 14 14 22 32 41 43 37 33 36 52 82 108 102 72 52 46 39 32 32 42 59 76 88 99 115 131 135 123 108 106 112 119 124 128 133 136 136 135 134 128 110 82 62 48 39 39 38 47 73 79 66 25 7 5 2 3 3 3 7 24 30 27 33 54 81 104 122 129 115 100 98 109 125 137 135 110 69 41 38 36 27 22 32 63 103 129 142 151 160 163 159 147 123 102 95 93 83 73 71 77 81 93 89 85 92 111 144 172 166 149 139 125 106 93 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 nan nan nan nan 12 13 14 13 12 11 12 12 11 10 8 8 9 10 10 10 11 11 11 12 12 12 11 10 10 9 9 9 8 7 6 6 6 5 4 4 5 6 6 6 6 7 7 7 7 6 5 4 3 2 2 2 2 4 4 5 5 6 7 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 4 1 1 2 2 2 3 3 3 3 3 0 1 2 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 2 9 13 10 9 8 8 7 6 4 3 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 14 27 36 42 46 47 43 38 33 26 20 17 17 19 21 20 18 14 11 10 8 3 0 0 3 12 20 20 21 20 24 28 30 29 28 38 64 82 82 78 77 70 62 56 51 45 40 35 32 31 32 35 46 67 96 109 103 100 94 77 58 46 41 40 38 36 34 32 26 19 15 16 29 45 55 55 44 33 33 47 79 110 108 77 49 35 27 22 24 36 56 76 87 93 103 116 121 116 108 106 109 113 116 119 128 139 142 141 138 135 122 96 76 63 54 44 39 44 45 19 32 3 3 5 1 2 1 4 1 3 6 8 9 13 18 35 54 79 86 93 96 102 117 129 135 129 99 60 48 51 52 58 66 84 116 140 152 157 168 175 159 145 128 100 90 86 87 82 88 90 94 89 70 77 95 123 159 177 174 158 144 125 104 88 82 nan nan nan nan nan nan nan nan nan nan nan 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 11 12 13 13 12 12 12 12 11 10 10 10 10 10 10 10 11 11 12 12 14 14 14 12 11 10 9 8 7 6 6 6 5 4 4 5 6 6 6 6 6 7 7 7 7 7 6 6 5 4 3 3 3 4 4 5 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 7 6 4 2 2 2 2 2 3 3 3 2 1 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 6 6 3 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 1 2 8 17 28 32 29 24 18 19 18 12 7 4 2 9 11 8 5 5 4 2 0 0 0 2 9 16 22 26 27 30 34 36 34 30 28 36 56 72 76 76 73 69 60 52 46 40 37 37 37 35 35 42 64 91 100 94 90 84 68 52 43 38 36 33 30 27 27 26 22 20 25 40 58 70 69 55 40 39 51 82 114 113 81 50 31 23 20 24 36 56 77 91 97 101 108 114 116 114 111 109 112 114 116 123 133 140 142 142 138 129 111 92 75 67 63 58 65 58 32 32 23 13 14 11 13 11 9 3 2 1 1 1 1 1 0 9 33 51 71 95 108 117 128 140 148 139 109 78 72 80 89 88 90 104 123 136 133 136 132 109 122 128 86 88 100 120 110 120 116 102 41 17 30 71 123 165 182 180 165 146 125 104 89 82 80 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 16 13 9 9 12 14 15 14 12 12 11 11 11 11 11 11 10 10 10 11 12 12 13 15 16 16 14 12 10 8 7 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 6 5 3 2 2 2 2 2 3 4 5 5 6 6 6 6 7 7 7 6 6 6 6 6 6 6 7 5 3 2 2 2 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 6 4 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 1 4 9 9 8 7 6 6 2 1 0 0 0 1 2 2 3 3 3 1 0 0 0 1 4 10 18 26 30 34 37 38 37 34 31 31 39 57 72 82 80 72 61 51 45 42 42 45 47 45 41 45 65 86 88 80 76 69 56 46 39 34 29 24 20 18 20 23 25 28 35 49 67 79 81 72 58 52 60 85 114 114 85 55 34 26 24 30 40 56 76 96 106 106 107 113 118 117 112 108 110 113 115 120 123 127 132 134 134 129 120 108 91 76 69 69 73 70 59 54 45 33 28 29 27 24 20 10 4 3 1 0 0 0 9 32 52 70 82 97 107 112 122 135 147 152 148 132 105 99 104 96 77 66 71 79 78 83 65 40 95 111 81 74 92 121 134 138 136 122 74 29 19 49 111 168 189 185 169 148 129 113 99 91 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 nan nan
nan nan nan nan nan nan nan 14 15 11 8 10 14 17 16 14 13 11 10 10 10 11 12 12 11 11 11 12 14 14 15 16 17 17 15 12 10 8 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 5 4 2 2 2 2 2 2 2 2 3 3 4 4 5 5 6 6 6 7 7 7 6 6 6 7 6 3 2 2 2 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 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 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 20 26 29 31 31 31 31 33 36 41 54 75 92 89 71 58 48 45 47 51 55 56 53 49 53 67 79 77 70 64 54 46 40 36 31 26 21 15 12 13 18 24 33 42 52 66 78 86 88 80 71 71 86 104 107 89 64 44 35 34 39 45 57 73 97 112 112 108 113 119 117 112 108 107 107 107 109 111 115 119 121 121 118 114 108 97 83 73 69 72 72 66 60 53 46 45 49 50 42 30 25 15 14 19 19 7 4 27 75 106 121 120 114 104 101 110 119 128 132 135 148 134 112 107 94 70 43 30 24 26 32 22 16 61 100 92 74 74 80 113 150 172 167 134 84 65 86 140 186 194 186 177 161 143 134 126 117 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 14 15 12 11 13 15 15 14 12 11 10 10 10 10 11 11 12 12 12 12 14 15 15 16 17 18 17 15 12 10 7 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 4 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 5 6 6 6 5 5 6 6 3 2 2 2 3 3 3 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 1 1 1 0 1 3 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 1 5 10 14 16 16 17 20 23 29 37 48 61 82 101 93 71 56 48 47 50 58 64 64 58 55 60 70 75 72 65 58 47 39 36 34 30 25 21 14 8 7 10 18 31 44 51 58 70 82 92 96 92 86 86 92 95 89 70 52 44 44 48 51 58 71 91 108 115 116 118 121 119 114 109 104 100 95 93 94 99 103 103 98 93 90 86 82 76 71 69 72 74 72 70 66 64 66 67 66 60 46 46 41 41 52 56 43 30 49 91 125 138 141 135 126 116 113 115 117 112 109 122 136 125 103 86 66 44 23 9 4 5 5 6 29 60 62 64 102 130 142 180 215 219 201 173 159 168 190 212 208 197 190 180 163 156 153 147 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 6 10 15 16 14 12 12 12 11 10 10 10 10 10 10 9 9 10 10 11 12 12 13 14 15 16 18 18 17 15 13 10 6 3 2 3 4 4 5 5 5 5 5 6 6 6 6 6 6 5 4 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 3 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 1 2 3 4 4 8 14 22 32 43 57 71 87 101 93 73 59 52 49 52 61 71 75 71 68 70 76 77 74 69 61 47 37 33 31 28 24 20 14 6 2 3 8 22 39 46 51 60 73 86 94 97 96 90 86 87 86 74 58 49 50 53 56 61 68 82 99 114 123 127 128 125 119 110 101 93 85 81 81 82 83 81 76 72 70 66 65 64 64 68 71 72 74 75 76 78 80 77 71 75 76 80 78 72 81 90 96 89 102 127 133 141 146 148 148 136 124 124 125 114 100 108 130 125 97 75 60 46 29 12 5 4 5 6 12 17 14 28 91 160 183 205 234 247 240 240 242 230 217 216 214 207 201 193 178 167 162 157 150 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 5 7 12 17 16 13 10 10 10 10 9 9 10 11 10 9 8 8 8 9 10 11 12 12 13 14 15 16 16 16 15 13 10 6 2 1 1 3 4 5 5 6 6 6 6 6 6 6 5 5 4 3 2 2 2 2 3 3 3 4 3 3 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 6 16 26 37 51 66 80 94 103 93 73 61 56 53 53 60 73 84 88 89 87 85 84 82 78 68 54 40 32 27 23 20 18 13 6 1 0 1 11 28 40 44 51 62 75 84 90 92 90 86 85 86 78 64 54 53 55 57 60 64 74 90 110 125 133 133 129 122 112 100 87 78 74 74 73 73 73 72 70 69 66 64 61 61 64 67 70 73 77 82 89 93 87 77 86 89 92 100 97 95 104 120 129 138 139 138 142 148 150 151 140 131 132 133 122 106 105 123 123 95 69 55 45 33 17 9 8 8 10 12 9 2 12 72 150 168 196 227 243 246 246 251 245 232 221 214 209 205 199 188 174 164 159 155 154 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 nan nan nan 7 6 6 8 14 17 15 11 9 9 9 9 9 10 11 12 10 9 7 6 7 8 9 10 11 12 12 13 13 14 14 15 15 13 10 6 4 2 2 4 4 5 5 6 6 6 6 6 6 6 5 5 4 3 2 2 2 3 3 4 4 4 3 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 16 27 36 48 62 76 89 94 84 70 62 58 56 54 56 66 81 95 102 98 90 85 84 82 72 58 44 33 24 17 14 12 9 6 1 0 0 3 16 32 38 43 52 63 73 78 83 83 81 83 88 86 74 61 55 54 54 57 60 66 77 95 115 128 130 127 122 114 104 89 76 72 71 72 75 81 84 83 82 84 85 79 73 71 73 78 85 90 94 100 104 100 90 89 96 100 97 92 94 104 121 139 149 149 148 148 147 144 141 140 139 138 139 133 115 112 127 133 108 73 59 51 37 17 8 8 8 11 17 10 6 21 73 120 140 168 198 219 231 234 237 237 231 222 210 203 203 202 194 182 170 160 152 149 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 6 6 9 14 16 12 9 8 8 8 9 9 10 12 11 10 9 7 6 7 8 8 9 9 10 11 12 12 12 12 13 14 12 11 10 8 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 2 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 2 0 0 5 16 25 32 40 51 65 76 77 72 67 62 59 58 56 53 54 62 73 81 81 75 68 64 63 59 50 40 30 20 12 8 6 5 3 0 0 0 0 5 18 28 34 40 48 58 64 68 70 69 74 86 94 88 72 59 52 51 53 56 60 66 76 90 105 114 116 117 117 113 102 87 76 73 78 86 95 100 102 102 105 108 112 101 91 92 95 99 103 107 106 104 105 100 94 92 100 98 93 93 103 119 137 150 157 158 156 148 139 134 136 139 137 138 140 123 118 132 146 130 93 72 61 40 16 7 6 6 8 10 8 9 25 58 86 107 132 161 183 200 213 219 222 221 213 200 191 194 199 196 186 176 164 149 142 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 nan nan nan nan 2 3 4 5 5 6 9 13 12 10 8 8 8 8 8 9 10 11 10 10 8 7 7 7 8 8 8 8 10 10 10 10 9 9 10 12 12 12 11 9 8 8 7 6 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 11 19 22 17 14 12 10 14 21 24 31 41 53 65 70 68 64 61 60 60 57 53 48 45 46 48 45 41 36 31 28 28 30 29 22 13 7 4 2 1 1 0 0 0 0 1 5 16 22 27 33 40 46 51 52 53 59 75 92 97 86 69 56 50 49 50 52 56 58 62 70 82 92 101 111 115 109 97 86 80 88 99 102 105 109 110 116 122 123 118 113 114 111 109 109 106 103 100 100 101 99 96 95 93 90 91 101 117 133 145 152 156 156 149 141 134 131 128 122 125 129 123 121 128 142 145 122 92 70 45 21 10 8 8 7 6 6 9 22 44 60 75 96 121 146 166 181 192 199 205 205 194 184 183 190 191 186 184 171 152 140 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 nan 0 1 2 3 3 3 5 8 10 9 8 7 7 7 7 8 8 8 9 9 8 8 8 8 8 7 7 7 8 9 9 8 7 5 6 9 11 12 10 9 8 8 8 8 7 6 5 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 7 13 20 28 33 32 29 26 24 19 17 18 22 30 40 51 60 60 59 57 58 59 58 54 49 44 39 34 28 20 15 11 7 5 9 14 14 9 5 3 1 0 0 0 0 0 0 0 0 6 12 15 19 24 28 32 34 35 41 56 78 94 96 83 67 56 48 42 39 40 39 36 37 44 55 70 86 97 97 92 86 82 96 104 101 100 96 94 106 113 113 118 127 127 119 111 108 104 100 97 98 100 99 98 98 94 88 86 94 111 128 139 145 149 150 143 131 125 125 114 106 107 107 103 102 113 132 146 139 107 81 55 31 20 18 17 13 9 6 7 18 36 49 56 68 86 110 134 157 168 174 188 202 200 194 186 186 183 181 183 177 161 143 nan nan nan nan nan nan nan 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 1 1 2 3 6 7 6 6 6 6 6 7 6 6 6 6 7 7 8 8 8 8 7 6 7 8 8 7 6 4 4 4 7 8 8 8 8 7 8 8 8 7 5 4 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 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 8 7 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 2 5 7 12 17 21 25 28 31 34 29 27 28 20 13 12 12 14 22 33 44 50 53 50 48 51 52 52 51 48 44 42 35 24 15 9 4 1 1 4 7 7 6 4 2 0 0 0 0 0 0 0 0 2 6 8 9 11 14 17 19 20 23 32 50 71 86 87 77 66 55 40 28 24 21 20 19 20 25 36 51 65 74 79 81 81 99 108 105 98 90 86 97 105 114 122 129 124 112 104 98 95 94 94 95 96 97 99 101 97 88 80 83 98 116 130 138 141 143 136 131 122 117 105 96 93 88 78 77 88 108 126 126 106 83 61 41 31 36 44 34 22 9 5 16 35 42 48 51 62 86 111 136 148 152 168 190 204 210 204 196 187 181 180 178 168 152 142 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 nan nan nan 0 0 0 0 0 0 0 1 3 5 5 6 5 5 5 6 5 5 5 5 5 6 6 7 8 8 7 6 6 7 7 7 6 5 4 3 6 7 7 7 6 6 7 7 8 8 6 5 3 2 1 1 1 1 1 1 2 2 2 1 1 1 1 1 2 2 3 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 1 0 0 12 17 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 1 4 10 16 23 27 28 29 29 28 29 26 24 25 17 9 4 5 7 9 15 27 37 42 41 39 38 40 43 46 48 49 49 47 40 28 19 12 5 1 1 2 4 4 3 1 0 0 0 0 0 0 0 0 0 2 4 6 6 6 8 9 10 11 13 20 33 47 60 66 66 61 48 28 16 11 12 13 13 15 20 28 39 50 64 73 78 90 100 106 104 98 96 102 107 112 122 128 121 104 93 93 90 84 82 84 87 90 93 95 95 87 77 72 81 95 112 125 132 133 128 128 126 114 99 89 88 83 68 63 74 91 105 103 80 62 53 39 36 56 91 85 54 23 10 27 54 62 61 55 61 81 104 123 134 139 154 182 206 216 215 207 197 191 184 177 169 156 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 2 3 4 5 6 6 5 5 4 5 5 6 6 6 6 6 6 6 5 5 4 5 6 7 6 5 5 5 6 7 8 7 6 6 6 6 7 7 7 5 4 2 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 2 3 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 4 0 8 8 13 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 1 2 3 2 1 1 0 2 5 12 21 27 30 30 30 29 29 29 26 24 24 20 14 4 1 1 3 4 9 17 25 29 30 32 32 34 37 42 46 49 51 54 47 37 27 17 7 2 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 3 3 3 3 3 3 6 12 19 28 39 48 49 35 20 14 15 16 15 16 19 23 31 38 49 56 64 74 86 98 104 104 105 108 108 110 117 124 125 110 100 101 98 85 73 71 75 80 82 83 84 82 74 66 66 72 87 107 121 123 117 118 125 118 100 88 90 89 67 49 60 78 95 99 73 43 35 32 35 66 116 128 102 62 44 63 92 105 97 81 77 92 113 129 138 145 159 187 209 211 207 202 193 185 181 177 171 159 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 2 3 3 4 6 7 7 6 5 5 6 7 9 9 8 6 5 4 3 2 2 4 6 7 7 5 5 5 6 7 8 8 7 6 6 6 6 6 6 4 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 3 12 18 19 9 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 1 2 3 4 3 2 1 1 2 4 10 20 26 29 28 26 25 24 24 22 21 26 34 34 20 5 0 0 0 2 4 8 14 20 29 29 29 30 34 37 41 47 54 55 49 39 29 16 6 1 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 1 2 3 9 20 31 33 21 16 24 29 25 22 24 26 30 36 44 49 54 63 78 94 101 102 106 114 110 109 110 119 130 119 109 114 116 102 81 70 65 69 72 70 69 70 67 61 58 58 66 86 105 113 110 110 117 117 108 100 102 101 84 64 55 68 92 111 100 64 35 29 35 67 125 151 140 111 97 114 140 150 136 113 103 115 137 156 166 170 177 196 206 197 189 188 183 174 171 176 177 172 164 nan nan nan nan nan 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 3 2 3 5 7 6 6 6 6 7 10 12 10 7 6 4 2 2 2 3 5 5 5 4 4 4 4 5 6 7 7 7 6 5 4 4 4 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 4 3 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 9 22 28 27 12 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 0 0 1 2 2 2 1 0 0 0 2 6 13 22 25 25 22 19 18 16 13 15 28 50 58 43 19 1 0 0 0 0 2 5 11 18 18 21 21 24 27 31 37 43 46 45 40 35 25 11 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 4 11 16 10 6 25 41 36 32 32 28 25 29 38 48 57 66 79 95 105 101 98 105 114 115 112 116 128 125 109 108 116 114 103 88 72 64 62 62 60 59 58 56 54 54 57 69 86 101 108 108 110 115 116 113 111 107 98 85 68 72 102 132 139 113 64 39 40 72 132 170 169 150 139 150 168 173 159 138 131 147 174 189 193 191 186 189 192 184 180 182 179 174 172 175 178 176 171 nan nan nan nan nan 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 2 2 1 1 2 4 6 6 6 6 6 8 10 11 10 8 6 4 3 4 4 4 3 3 3 4 4 3 3 4 4 5 6 5 4 4 3 3 3 3 3 3 3 1 1 0 0 0 0 0 0 0 0 1 1 1 2 2 2 3 4 4 4 3 3 3 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 1 9 15 30 24 25 20 7 1 0 0 0 0 0 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 1 0 0 0 0 1 3 7 14 20 20 15 10 6 3 2 8 24 45 56 50 32 6 0 0 0 0 0 1 4 8 9 9 9 10 10 17 25 30 32 32 32 32 27 16 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 3 4 2 3 22 44 48 47 42 31 23 25 35 46 53 59 67 81 97 93 94 94 103 108 110 113 125 129 114 102 102 105 109 104 90 72 60 57 57 56 54 53 54 55 55 59 70 86 103 110 107 110 114 114 113 109 104 90 76 82 116 154 167 150 105 68 59 85 131 160 167 166 154 155 180 186 170 153 149 167 192 201 195 190 179 170 167 170 177 181 179 172 166 166 166 161 156 154 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 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 3 4 5 4 4 5 7 9 10 9 7 6 6 6 5 4 2 2 2 3 3 3 2 2 2 3 4 4 4 3 3 3 3 3 3 3 3 3 2 2 1 1 0 0 0 0 0 1 1 1 2 3 3 3 4 4 4 4 4 4 4 3 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 24 13 25 20 20 10 2 0 0 1 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 1 4 8 11 10 5 2 1 0 0 3 16 32 48 49 42 19 3 0 0 0 0 0 1 2 2 2 3 2 0 6 14 19 20 21 23 24 22 16 9 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 2 3 9 25 42 52 54 48 34 25 24 31 40 45 46 46 52 63 65 79 86 87 93 100 109 123 132 124 107 89 83 91 99 96 85 69 58 57 57 54 52 53 53 53 55 59 70 89 103 106 108 110 112 113 112 106 93 85 98 133 171 187 177 148 111 88 95 122 139 151 166 149 141 174 186 174 159 154 169 188 196 196 188 172 153 139 148 168 175 174 167 159 157 153 146 143 143 nan nan nan 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 0 0 0 1 1 2 2 3 3 3 4 6 7 8 7 7 6 6 5 4 3 4 4 4 3 3 2 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 1 1 1 1 0 1 1 1 1 3 4 4 4 3 4 4 4 4 4 4 4 3 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 1 10 24 17 7 27 26 35 25 8 0 2 13 7 3 2 2 1 0 0 1 1 2 2 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 1 3 4 2 0 0 0 0 0 0 8 18 40 50 52 39 16 4 1 0 0 0 0 0 0 0 0 0 0 0 3 7 9 10 14 15 14 12 9 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 2 5 11 19 32 47 52 46 34 28 23 23 28 32 34 34 33 35 39 49 62 73 79 87 101 119 133 131 111 84 69 71 80 86 85 76 64 57 56 56 52 51 50 48 50 52 58 71 87 98 104 107 112 116 117 110 99 98 116 149 180 192 185 170 145 117 108 118 115 133 148 141 145 171 179 173 159 150 156 177 196 198 190 172 145 125 135 158 164 165 161 150 146 140 136 135 141 nan nan nan 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 0 0 0 1 1 1 1 2 4 6 6 6 6 5 5 5 5 5 5 5 5 4 2 1 0 0 1 2 1 1 1 1 2 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 2 3 4 4 4 3 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 0 1 8 21 12 5 24 29 39 32 14 4 6 10 6 2 3 5 5 6 6 6 6 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 3 10 28 42 53 58 40 16 7 6 4 2 0 0 0 0 0 0 2 3 1 1 1 2 5 7 6 7 9 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 15 24 37 44 42 36 31 25 21 17 17 20 21 21 22 23 24 31 42 53 64 78 98 119 130 117 88 68 64 67 71 73 74 67 57 53 56 52 50 48 44 44 46 50 58 69 82 93 102 111 121 126 121 112 115 133 161 181 183 175 169 161 145 128 132 142 148 153 154 162 179 184 176 162 146 141 156 178 189 185 171 148 129 132 145 150 154 161 147 138 132 128 129 137 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 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 4 4 4 4 3 3 4 4 4 4 3 2 2 1 1 1 1 1 0 0 0 1 2 2 3 3 2 2 2 3 3 3 3 2 2 2 2 3 4 4 4 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 7 20 10 6 22 30 34 29 17 9 8 14 14 8 6 7 8 9 10 11 11 12 11 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 20 34 44 61 60 36 19 16 15 10 6 3 1 0 2 4 6 7 6 4 4 2 1 1 1 2 6 9 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 1 2 6 13 20 27 34 36 33 28 23 19 15 11 9 7 8 9 9 9 11 15 22 32 45 61 81 104 116 101 80 70 68 67 65 64 65 58 54 57 56 52 46 41 39 40 44 49 54 62 72 84 100 119 134 137 132 134 148 167 179 174 154 149 160 163 152 150 159 162 164 169 175 182 184 179 167 147 133 137 151 167 175 169 153 131 123 133 144 150 154 146 134 127 125 127 131 nan nan 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 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 1 1 2 2 2 2 2 1 1 1 1 1 0 0 0 0 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 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 2 8 11 7 9 24 28 27 20 17 15 15 18 18 14 9 9 10 10 9 10 11 14 12 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 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 4 19 30 36 52 70 60 39 28 24 21 17 13 10 7 7 9 10 10 9 9 9 7 3 0 2 4 6 7 6 6 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 10 19 23 27 28 25 20 16 13 10 8 5 2 1 1 2 2 2 3 5 10 18 29 43 66 90 102 98 87 76 68 64 62 61 58 57 59 60 57 50 42 36 34 37 42 44 46 50 60 77 103 130 148 153 154 158 167 174 173 153 140 150 164 165 163 162 158 157 163 170 174 176 176 169 153 136 133 135 149 166 167 157 138 126 131 142 149 150 140 127 121 122 122 122 124 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 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 1 1 1 1 1 1 0 0 0 0 0 0 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 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 2 4 2 8 15 26 26 25 22 21 23 26 31 24 21 13 14 16 11 9 10 11 13 12 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 1 0 0 0 1 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 22 28 38 59 74 67 50 40 34 26 19 15 13 11 11 14 11 10 11 11 10 4 0 4 8 9 5 2 2 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 4 13 21 24 24 21 16 10 6 4 3 2 1 0 0 0 0 0 0 0 1 4 10 19 34 60 87 102 101 86 71 61 57 54 55 58 60 61 60 55 47 38 32 32 35 38 39 37 41 53 77 106 134 154 164 166 168 173 176 168 157 156 164 170 169 161 150 146 152 158 161 167 172 170 161 147 144 140 146 158 162 156 141 128 126 132 140 140 133 121 116 120 117 111 113 nan 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 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 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 1 2 3 10 23 27 26 26 26 26 27 28 40 28 25 18 21 25 19 16 15 12 12 11 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 3 1 0 0 0 0 2 4 5 6 7 7 5 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 13 18 24 38 61 77 74 64 52 38 25 18 15 10 8 13 10 10 10 11 9 1 0 2 6 4 1 0 0 0 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 4 1 0 0 0 0 3 1 2 1 0 0 0 0 4 11 18 21 19 15 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 18 36 60 82 95 92 79 66 57 52 53 59 64 64 62 57 50 42 36 36 37 40 42 42 40 44 56 76 104 132 151 161 167 172 176 176 173 169 170 176 176 167 153 149 152 151 151 159 165 168 166 159 154 151 152 157 161 156 141 126 120 124 130 132 129 120 117 121 112 101 103 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 6 4 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 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 22 26 25 28 25 22 24 20 31 26 28 28 27 30 25 20 18 12 11 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 3 1 0 0 0 0 0 1 3 5 7 11 14 15 12 13 9 4 5 4 2 2 0 0 0 0 0 0 0 0 0 2 7 11 15 21 34 57 75 80 72 55 36 24 19 14 9 9 9 9 10 11 9 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 9 17 10 3 1 2 7 5 5 5 3 1 0 0 0 2 7 13 14 11 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 21 37 55 73 83 85 77 66 59 59 65 74 77 72 64 56 47 42 44 47 47 48 50 48 48 51 58 74 100 127 146 157 164 169 171 172 173 175 180 182 172 163 166 166 160 159 164 168 168 168 165 158 152 151 155 158 155 144 131 123 123 126 126 124 118 117 118 108 97 97 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 18 13 9 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 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 4 14 22 21 17 15 10 12 13 20 25 28 32 31 31 27 23 14 10 10 10 7 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 3 5 4 2 0 0 0 0 0 0 1 2 3 5 8 13 20 23 22 16 11 11 11 9 8 6 4 1 0 0 0 0 0 0 1 3 7 11 13 17 29 52 72 82 75 55 36 25 22 17 12 10 10 12 13 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 26 30 21 10 10 16 15 11 8 7 5 3 1 0 0 1 4 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 21 35 50 65 77 82 77 71 71 77 86 92 90 83 74 61 51 50 51 51 52 55 57 60 63 62 63 74 96 118 135 148 157 161 165 169 174 177 179 173 172 180 181 179 180 182 177 172 169 166 159 151 146 144 143 143 138 131 126 126 124 118 112 107 109 110 104 98 96 97 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 27 22 16 13 11 10 7 3 0 0 0 0 0 0 0 0 0 0 0 0 1 4 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 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 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 1 7 13 10 4 0 0 4 12 20 23 26 34 31 30 26 23 14 9 8 9 7 2 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 2 3 4 4 2 1 1 0 0 0 0 1 2 2 2 2 6 17 24 24 19 15 13 13 13 13 11 9 5 1 0 0 0 0 0 0 0 3 6 10 12 15 25 43 66 82 77 60 41 29 27 22 18 16 15 16 16 14 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 7 19 34 41 32 27 28 27 21 11 6 7 6 3 0 0 0 1 3 4 2 0 0 3 6 3 0 0 0 0 0 0 0 0 0 0 1 3 4 9 21 33 46 60 70 78 78 81 87 94 100 101 97 91 82 68 57 50 47 46 51 59 70 79 81 76 70 74 87 104 122 138 147 154 161 168 174 180 180 182 188 188 187 189 188 181 175 170 164 158 152 143 132 124 125 122 121 119 118 113 104 95 92 96 99 98 97 98 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 39 32 25 22 22 21 16 9 2 0 0 0 0 0 0 0 0 0 0 0 1 4 9 11 11 10 8 5 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 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 3 0 0 0 2 10 19 22 24 32 29 26 19 20 14 10 8 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 2 1 0 0 1 2 3 4 5 5 5 5 4 3 2 1 1 2 2 3 2 2 3 12 21 23 20 19 18 16 15 14 13 12 9 4 1 0 0 0 0 0 0 0 3 6 10 11 14 19 33 56 77 81 70 49 39 37 34 30 24 19 17 16 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 24 37 43 40 36 34 28 16 5 5 7 6 1 0 0 0 3 4 2 1 9 20 17 8 2 0 0 0 0 0 0 0 0 0 0 2 2 3 10 20 29 41 52 61 69 76 85 95 99 93 92 93 90 77 62 50 44 41 40 47 62 78 92 98 91 79 75 81 92 107 122 135 146 157 168 177 183 186 186 182 179 178 176 166 163 159 152 147 145 137 122 112 108 106 104 101 98 92 84 81 83 85 84 86 91 96 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 68 54 43 38 40 38 30 19 8 2 0 0 0 0 0 0 0 0 0 0 0 1 8 15 16 17 17 14 10 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 1 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 6 14 21 23 24 22 17 12 12 11 10 9 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 5 4 3 3 3 3 4 5 4 4 4 5 6 7 7 6 5 4 4 3 3 3 3 3 3 8 17 21 18 20 23 23 20 18 17 15 12 8 3 0 0 0 0 0 0 0 0 3 6 8 10 11 14 22 41 66 80 77 60 51 46 41 33 23 18 16 15 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 22 37 47 46 41 35 22 8 3 5 8 4 0 0 0 3 4 1 2 18 26 17 7 1 0 0 0 0 0 0 0 1 0 0 1 2 1 2 8 15 23 35 44 52 62 73 87 95 92 90 91 84 72 59 48 43 40 37 38 46 62 83 106 115 107 94 84 78 81 92 108 124 140 154 167 174 177 176 170 165 162 155 146 144 138 135 129 126 121 111 100 92 87 83 79 78 74 69 70 72 72 71 72 79 87 94 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
79 78 72 63 55 52 50 45 32 19 9 3 1 0 0 0 0 0 0 0 0 0 0 4 13 18 18 18 17 15 12 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 1 0 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 1 5 10 21 20 13 10 10 10 12 12 11 10 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 4 4 4 4 4 6 12 16 13 16 21 24 25 24 23 22 18 12 7 3 0 0 0 0 0 0 0 0 2 3 5 7 7 9 14 24 44 63 70 62 54 47 40 31 23 18 16 15 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 23 40 48 49 45 38 24 14 12 14 7 0 0 0 1 2 0 7 20 20 10 3 2 4 2 0 0 0 0 1 3 2 0 0 0 2 0 1 4 10 20 30 40 48 58 72 84 91 93 88 77 63 52 44 38 34 31 31 35 45 65 94 118 125 120 107 90 76 74 84 100 118 136 151 158 160 159 157 157 150 140 135 128 122 116 111 111 109 102 93 85 77 67 63 61 58 56 57 60 64 65 62 65 73 80 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
33 48 60 64 63 61 62 63 60 48 30 16 6 0 0 0 0 0 0 0 0 0 0 2 9 15 16 16 16 14 12 10 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 5 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 21 16 9 8 9 12 15 15 13 11 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 5 5 5 5 5 5 4 3 3 4 4 3 3 3 3 4 4 4 5 6 6 6 5 5 4 4 4 4 6 10 9 11 15 20 26 28 27 25 22 18 14 9 5 2 1 0 0 0 0 0 0 0 1 2 3 4 6 8 13 22 33 47 50 51 48 42 35 27 21 18 15 10 5 2 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 24 38 48 50 55 52 41 38 37 24 6 1 0 0 0 1 11 20 16 5 1 4 6 2 0 0 0 0 1 4 3 0 0 0 0 0 0 0 2 8 17 28 38 47 57 68 78 81 76 69 60 53 44 36 30 25 24 24 30 46 74 100 117 126 125 114 96 81 76 82 97 116 135 145 148 144 143 144 136 125 119 114 106 97 94 97 98 96 90 80 65 50 43 42 43 41 41 50 58 60 57 56 59 64 66 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
24 27 35 48 63 71 73 74 74 70 60 43 24 10 5 3 1 0 0 0 0 0 0 1 4 9 12 14 14 12 9 6 5 6 7 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 5 5 5 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 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 1 4 12 19 13 8 8 10 14 17 18 15 12 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 5 5 5 4 3 3 3 3 3 3 2 2 2 2 3 3 4 5 6 6 6 6 5 4 4 4 3 4 4 6 8 14 20 24 24 24 23 24 24 20 14 10 5 3 2 1 1 0 0 0 0 0 0 1 1 2 3 5 8 16 28 40 50 52 49 42 33 24 19 17 14 9 5 2 1 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 24 38 44 52 56 56 56 57 47 24 9 2 0 1 6 15 18 14 6 1 2 5 0 0 0 0 0 5 6 4 3 2 3 2 1 1 0 0 1 7 19 28 37 46 55 67 72 71 66 63 57 48 39 32 26 22 18 18 27 46 72 94 111 122 125 118 101 80 72 77 95 117 129 136 134 130 130 124 115 108 102 94 86 83 84 87 87 83 74 56 37 30 29 32 35 37 45 54 57 53 50 50 50 50 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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34 29 26 22 22 20 18 17 14 10 6 5 9 22 45 65 57 36 28 30 44 60 63 58 52 44 29 16 10 9 10 11 17 22 27 26 23 19 15 13 12 14 17 16 12 10 10 12 16 20 27 33 31 26 16 9 10 13 12 6 2 2 4 8 11 9 4 1 2 2 3 3 3 3 3 3 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 16 17 17 16 13 11 13 12 9 5 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 6 6 5 5 5 6 5 5 4 4 4 4 5 6 12 16 13 7 6 5 5 5 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 12 17 14 11 11 11 10 8 8 9 10 12 13 13 13 13 14 13 13 12 10 10 10 11 11 10 11 13 15 18 21 20 16 14 14 17 19 14 8 5 4 4 4 4 4 4 4 4 4 3 3 8 16 20 21 22 33 50 47 29 19 17 16 13 11 8 5 4 7 9 9 3 1 5 13 21 31 48 74 94 92 70 47 31 26 25 27 28 25 21 18 16 14 12 9 4 1 0 0 0 0 3 12 21 26 24 18 18 20 19 19 18 19 20 21 23 26 32 31 28 26 24 24 22 20 16 13 9 8 10 14 20 26 28 26 23 20 16 13 10 8 8 7 7 8 11 13 18 22 22 17 12 11 8 5 2 0 0 1 1 2 1 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
21 18 17 16 16 14 13 13 11 7 3 1 2 12 33 59 64 43 25 18 21 31 40 49 58 63 54 31 14 9 9 9 11 18 28 34 34 34 26 17 14 21 30 33 26 14 8 8 11 14 20 28 33 28 17 14 21 27 22 10 2 0 1 6 11 11 7 3 1 1 2 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 5 5 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 16 16 15 13 12 12 14 13 9 5 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 5 5 5 5 6 6 5 4 4 4 4 4 4 4 8 15 21 17 9 6 5 5 6 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 13 16 14 12 11 10 9 9 9 10 11 12 11 10 10 10 11 12 12 12 10 10 10 11 10 10 10 10 11 13 14 14 13 15 19 19 14 7 5 5 5 5 5 5 6 5 4 3 3 3 4 10 17 20 22 27 32 29 18 12 12 12 10 7 4 1 0 2 5 8 7 6 6 9 16 25 38 59 86 105 94 67 43 33 31 32 33 32 28 23 20 17 15 12 8 3 0 0 1 2 4 8 18 26 26 20 18 18 18 20 20 20 20 20 23 30 37 34 26 22 20 21 21 20 19 16 11 8 8 11 18 27 31 31 27 22 17 14 12 10 9 8 6 5 7 10 14 20 21 16 10 12 10 6 4 3 3 4 5 5 4 2 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
21 23 25 22 18 12 11 12 10 6 2 0 0 6 21 49 68 57 34 21 16 15 21 35 52 66 74 56 25 11 8 6 6 11 22 35 43 44 36 24 14 16 30 43 42 28 14 9 8 10 13 20 26 26 20 21 31 34 27 14 6 2 2 5 9 10 9 6 2 0 1 2 3 3 4 4 4 6 6 6 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 6 5 5 5 4 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 16 16 15 14 13 14 14 13 9 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 5 6 5 5 5 5 5 5 5 4 3 3 3 9 22 22 14 7 5 5 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 10 16 15 13 12 10 10 11 12 12 13 12 10 10 9 9 9 9 10 9 9 9 10 10 9 9 9 10 11 12 12 14 19 23 22 18 13 9 8 7 6 7 6 6 6 5 4 4 4 4 6 11 17 21 25 27 21 10 4 5 7 7 5 3 1 0 1 5 10 12 12 11 10 15 22 32 50 72 105 111 88 59 45 41 41 41 39 35 30 25 20 17 14 11 5 0 0 3 5 5 7 16 24 27 24 19 15 16 20 22 22 21 20 22 30 36 32 23 19 17 17 17 18 20 20 19 16 13 11 17 28 32 32 30 24 18 15 13 12 11 9 6 4 3 4 8 13 17 16 16 17 16 13 10 10 10 10 10 9 7 4 1 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
35 38 38 32 18 11 11 17 18 10 2 0 1 5 15 36 64 63 46 34 26 20 24 37 51 59 66 69 46 19 8 4 2 4 15 31 45 48 41 30 20 16 25 42 50 42 29 18 10 9 10 13 17 21 24 29 36 37 30 21 15 10 6 5 7 8 8 8 5 1 1 1 3 4 4 3 4 5 6 6 6 5 5 4 4 4 5 5 6 6 6 5 5 6 6 6 6 6 6 6 6 5 3 3 3 3 3 3 4 4 4 4 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 2 6 11 16 17 17 17 16 15 15 13 10 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 12 22 22 14 6 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 6 7 11 15 15 13 12 12 14 14 15 18 18 15 12 10 10 10 10 8 8 8 8 9 9 9 9 9 10 12 14 15 18 22 24 22 21 20 17 15 14 13 12 12 10 8 8 8 8 8 8 8 9 13 18 20 18 11 4 1 1 2 3 2 1 0 0 2 8 12 12 11 11 11 17 22 31 46 61 98 118 103 80 66 58 54 52 48 42 36 30 24 19 16 13 7 1 1 4 7 7 9 17 24 27 26 22 17 16 21 23 23 22 22 22 26 28 24 19 16 15 16 16 17 19 22 24 26 23 19 24 32 34 34 31 27 22 18 15 13 13 11 8 5 2 1 2 5 9 13 17 20 22 22 21 20 20 19 17 13 10 7 3 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
40 39 31 18 10 7 10 31 37 21 7 3 4 8 14 28 51 63 53 46 42 40 42 55 66 65 60 63 57 33 13 5 2 4 13 29 42 48 44 36 27 21 22 33 43 45 37 29 18 10 8 8 11 18 26 31 32 30 30 28 26 22 13 7 6 6 7 9 8 5 2 1 3 4 4 2 3 5 6 7 7 6 5 5 4 4 4 4 5 5 6 5 5 5 5 6 6 6 6 6 6 6 5 3 3 3 3 3 3 4 4 4 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 2 4 7 11 16 19 19 19 18 16 15 13 9 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 3 4 4 6 6 6 6 5 5 6 6 7 8 9 10 15 20 19 10 6 5 6 5 4 4 4 4 4 4 4 5 6 6 6 6 6 6 7 7 7 7 10 10 10 9 11 15 16 19 25 26 22 18 14 13 14 14 11 10 10 9 9 10 10 10 12 14 16 18 19 19 20 21 21 22 23 23 21 19 17 17 18 17 17 17 18 19 18 18 17 16 15 15 11 3 2 1 0 0 0 0 0 0 0 1 3 8 10 8 5 4 8 18 25 35 46 58 90 115 112 92 75 66 62 62 58 47 38 32 26 22 18 14 8 3 1 4 6 8 12 19 26 28 26 22 20 21 23 21 21 23 24 23 22 21 18 15 14 15 16 18 19 20 21 23 27 29 29 31 36 37 36 33 32 30 27 24 21 20 17 14 13 10 6 4 4 5 7 11 17 22 27 29 30 29 28 24 20 16 13 9 5 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
27 24 15 7 5 5 10 36 60 41 21 14 14 15 18 26 44 61 60 54 52 50 54 67 84 80 68 61 57 44 25 14 11 13 22 32 35 42 46 45 37 26 21 25 33 38 40 36 27 14 10 8 11 19 27 27 23 21 24 28 31 29 22 12 7 5 6 9 11 9 5 3 4 5 5 3 3 4 6 7 7 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 4 3 3 3 3 3 3 4 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 3 5 7 11 16 19 20 19 18 18 15 11 6 3 2 2 2 2 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 3 3 2 2 2 2 3 4 5 4 5 5 8 13 14 14 12 11 10 11 15 13 7 6 6 6 6 4 3 3 4 4 5 6 7 7 7 7 7 7 6 6 7 8 9 10 9 8 6 9 16 17 18 22 24 21 19 19 15 15 14 13 15 18 18 18 19 18 18 20 20 18 17 16 15 17 19 20 21 23 24 23 22 21 21 22 22 23 24 26 26 26 24 23 22 20 14 5 1 1 0 0 0 0 0 0 0 0 0 2 6 7 3 1 0 6 19 30 38 48 60 84 108 112 94 67 49 49 60 62 47 35 31 27 22 19 15 10 5 1 2 6 9 14 21 26 28 29 19 17 21 23 20 18 19 21 21 20 18 16 14 14 15 17 20 22 23 23 23 25 28 30 30 30 30 31 32 33 35 37 38 40 39 34 30 27 22 16 10 8 7 7 8 11 16 20 24 26 28 29 28 27 25 22 17 13 9 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
24 22 14 7 5 5 12 36 69 65 48 41 36 28 24 26 39 57 64 61 58 58 61 70 87 84 69 62 60 54 42 31 30 36 44 44 33 30 39 47 45 37 29 26 28 32 32 32 28 22 15 12 15 20 26 22 17 15 19 26 32 31 24 14 7 4 5 8 12 12 8 6 6 8 7 4 3 4 5 6 7 7 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 4 3 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 9 13 17 19 19 19 18 14 8 4 3 2 3 2 1 0 0 0 0 0 1 3 4 3 0 0 0 0 0 0 1 2 1 0 0 0 0 2 3 3 3 3 5 8 13 15 14 13 12 11 11 11 8 6 7 7 7 6 4 4 4 5 6 7 8 8 8 7 7 6 6 5 6 9 12 14 14 11 9 8 11 17 17 17 16 17 15 15 15 14 14 16 21 28 31 33 35 35 33 31 30 24 18 15 14 15 17 20 22 23 23 24 24 24 25 26 28 29 29 29 29 27 25 24 24 25 22 16 7 4 4 3 1 0 0 0 0 0 0 0 1 3 3 1 0 1 8 22 35 46 57 68 87 106 110 90 46 19 25 49 60 42 31 29 26 22 19 16 13 9 4 2 4 9 15 21 25 28 31 26 21 21 21 20 19 18 17 16 17 17 16 15 12 11 15 18 23 27 28 27 25 25 25 24 22 20 22 26 29 34 39 46 54 56 53 48 44 37 27 19 15 12 10 10 9 10 12 12 12 14 19 23 26 29 31 28 22 18 16 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
41 39 28 16 7 5 15 44 72 75 69 64 56 41 30 28 33 47 60 63 64 68 71 74 81 81 70 61 60 63 60 54 54 59 63 57 41 30 31 37 43 49 51 44 39 39 36 31 26 24 24 24 23 20 19 17 15 14 19 28 33 30 20 10 4 3 4 7 12 15 11 7 6 8 9 6 3 4 4 6 8 8 7 6 6 5 5 5 4 4 3 3 3 4 4 5 5 5 5 6 6 6 6 6 4 3 2 2 2 3 3 2 2 3 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 2 4 4 1 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 7 9 13 16 18 18 15 11 6 4 3 2 2 1 0 0 0 0 0 2 4 6 7 5 2 0 0 0 0 0 2 2 2 1 1 1 2 3 4 4 4 4 4 6 7 8 10 8 10 11 10 7 6 6 7 7 6 6 5 5 6 7 8 8 9 8 7 6 6 6 7 7 9 13 17 19 17 13 11 12 16 19 20 20 17 16 16 19 21 23 24 26 32 36 38 39 38 38 36 34 30 24 18 17 19 20 24 25 25 25 25 26 27 28 29 31 32 33 34 32 30 28 25 24 25 26 23 18 12 7 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 2 12 25 38 51 65 80 97 110 110 90 42 7 12 34 43 35 29 28 26 21 18 17 16 13 9 4 3 7 13 22 26 30 34 36 33 26 21 18 19 20 18 15 16 19 19 17 14 12 13 15 20 26 29 29 27 25 24 23 20 18 20 24 27 31 36 42 49 58 60 56 52 48 41 33 25 19 14 12 10 9 8 8 7 6 8 12 15 20 26 28 24 19 18 17 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
59 60 49 31 11 6 24 48 58 60 60 64 63 51 37 32 32 37 46 55 67 76 81 81 80 80 74 62 58 64 64 59 62 68 69 65 55 44 37 35 40 55 76 79 65 64 58 39 24 20 23 28 25 17 13 13 14 16 23 32 33 26 15 6 3 2 2 6 11 16 16 11 6 6 8 8 5 4 4 7 10 12 11 8 6 6 5 5 5 4 4 3 3 3 3 4 4 5 5 6 6 6 6 6 4 3 2 2 2 3 3 3 3 3 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 4 1 0 0 0 0 0 0 0 0 0 0 2 3 5 6 6 6 7 8 10 12 12 11 8 6 5 4 3 2 0 0 0 0 1 2 5 8 9 8 7 4 2 0 0 0 3 4 4 4 5 5 5 5 5 6 7 6 5 5 5 4 3 2 2 4 4 4 5 7 7 8 7 6 6 6 6 7 7 8 8 8 8 7 8 10 12 13 15 16 16 15 17 16 13 13 16 19 22 27 31 31 30 30 33 37 41 42 43 44 42 40 37 35 32 29 28 28 27 26 31 36 38 36 32 28 27 29 32 35 36 37 36 35 35 36 35 32 32 29 28 29 29 24 20 15 10 6 6 5 4 2 0 0 0 0 0 0 0 0 0 1 6 17 29 38 49 65 87 107 114 113 96 44 11 8 19 25 28 30 32 28 22 19 18 20 19 14 9 7 5 9 20 28 34 38 40 38 35 28 20 19 19 19 18 20 23 23 21 18 17 16 15 17 20 25 26 25 25 25 25 23 22 25 27 28 30 34 38 45 54 61 60 54 50 51 46 37 28 22 17 14 12 10 8 8 7 7 8 8 10 12 12 15 13 12 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
56 61 55 40 19 11 29 44 38 37 39 52 62 54 40 34 35 33 32 40 60 79 86 85 79 75 71 63 61 65 65 63 62 67 66 63 59 54 48 45 48 65 86 91 76 66 64 55 33 17 16 20 22 17 12 11 13 19 27 35 32 22 12 6 2 1 1 4 9 16 22 20 11 6 6 7 7 6 7 9 11 12 12 11 8 7 6 6 5 5 4 4 3 3 3 3 4 4 5 5 6 6 6 6 4 2 2 2 2 3 3 3 3 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 2 2 4 5 6 6 6 6 7 7 8 7 6 5 5 4 4 2 0 0 0 2 4 6 8 7 7 7 8 6 4 3 4 5 4 4 4 5 5 6 5 5 6 7 8 8 7 5 4 3 1 0 0 2 3 5 6 8 8 8 7 6 6 7 9 10 10 10 10 10 10 12 17 20 21 23 24 24 24 23 21 17 14 15 18 24 30 38 44 48 49 48 50 52 55 59 64 63 56 48 41 34 29 28 30 32 36 44 52 57 55 46 35 29 31 37 43 47 49 49 48 44 40 37 36 37 38 38 40 40 38 30 24 20 15 11 8 7 6 3 0 0 0 0 0 0 0 0 0 4 12 22 31 36 45 61 86 112 118 119 107 54 20 12 13 16 24 34 39 33 25 21 21 24 26 21 15 11 5 6 15 27 36 42 44 42 38 35 30 28 25 21 18 20 22 23 23 23 23 22 21 19 19 23 24 24 24 26 25 24 24 27 28 29 28 30 37 43 51 58 62 58 53 52 52 47 39 32 27 23 20 17 15 13 11 10 13 12 10 9 9 9 9 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
36 44 52 48 26 14 24 38 34 30 32 46 59 47 34 34 40 37 28 29 46 67 82 82 72 63 58 57 68 80 87 88 81 72 65 62 63 58 54 53 59 74 82 73 55 40 40 55 52 24 13 14 18 19 14 11 14 21 32 39 34 22 13 6 3 1 2 5 7 14 26 28 19 10 6 7 8 9 10 11 12 12 12 12 10 9 7 7 6 6 5 5 4 4 3 3 3 4 4 5 5 5 6 6 4 3 3 2 2 2 3 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 3 4 5 6 6 6 6 6 6 6 6 5 6 5 3 1 0 0 4 6 8 8 7 6 5 6 7 8 8 6 6 5 5 4 4 4 4 4 4 4 5 6 8 8 7 5 4 2 1 2 2 4 5 6 7 8 8 8 6 6 9 12 15 16 16 17 19 20 22 25 26 27 28 30 32 34 37 40 36 28 21 22 27 36 44 50 54 56 58 58 58 57 58 70 84 90 83 68 51 37 31 32 39 44 50 57 63 62 55 42 31 29 37 48 54 56 57 58 59 57 52 44 39 42 48 53 57 57 52 42 32 26 23 20 16 12 9 4 0 0 0 0 0 0 0 0 2 8 18 26 30 34 42 57 84 109 119 123 112 75 45 28 19 16 22 34 41 36 29 24 24 27 29 26 20 14 8 7 12 23 35 45 50 50 47 43 40 40 42 32 24 22 22 22 23 24 26 27 26 26 25 27 28 25 26 28 28 27 26 25 26 26 23 23 32 37 38 45 53 56 56 56 56 54 49 43 37 34 32 31 29 27 23 20 18 16 13 11 10 12 11 9 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
19 31 47 52 32 15 17 29 36 39 44 52 57 38 24 31 46 45 33 27 34 52 69 70 59 50 43 39 58 86 104 108 103 93 82 76 74 64 53 51 57 77 81 63 37 17 15 41 62 45 17 12 16 18 15 14 18 29 43 46 36 22 14 10 6 6 9 11 12 18 26 30 27 18 9 7 8 10 11 13 13 12 11 11 11 10 9 8 7 7 6 5 5 4 4 3 3 3 3 4 4 4 5 6 5 3 3 2 2 2 3 3 3 2 1 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 2 2 0 2 4 5 6 6 7 7 6 5 6 6 6 7 5 3 2 3 5 7 9 8 7 6 5 4 5 6 8 9 7 6 5 4 4 4 4 4 3 3 3 4 5 6 7 7 6 4 4 4 5 5 6 6 7 8 8 8 7 6 8 13 17 19 19 19 23 28 28 27 27 27 27 27 28 29 32 37 42 44 41 36 38 44 51 56 58 59 59 60 58 56 55 58 68 83 97 99 87 68 51 44 48 56 61 66 71 70 58 41 30 26 30 42 54 62 62 61 62 62 63 62 57 50 52 57 63 67 66 59 47 36 31 29 27 23 18 12 7 2 1 1 0 0 0 0 0 3 12 22 27 28 31 41 59 84 103 115 124 119 92 61 40 28 22 24 33 36 32 26 24 24 26 28 28 22 16 11 10 12 18 30 44 54 58 56 54 51 51 53 51 44 37 31 29 28 28 28 29 29 30 29 29 29 29 31 34 35 35 34 30 28 24 21 18 24 30 31 34 40 46 52 57 60 58 55 50 45 42 41 42 42 40 36 30 24 20 17 16 17 20 17 14 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
9 20 34 51 42 23 15 22 35 48 58 64 56 32 16 24 47 54 43 33 36 50 63 60 48 38 30 22 28 48 73 87 96 101 103 100 86 70 54 45 48 66 81 70 45 21 12 34 65 65 31 13 14 15 14 17 24 36 50 47 34 21 14 12 12 14 18 22 23 23 25 27 28 27 18 10 8 8 10 11 14 14 12 11 10 10 9 8 7 7 7 6 5 5 4 3 3 3 3 3 4 4 5 7 6 4 3 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 1 0 0 0 0 0 0 0 2 2 1 2 4 5 6 6 7 7 7 6 6 7 8 8 5 4 6 7 9 9 9 8 6 5 5 4 5 6 8 8 7 5 4 4 4 4 4 4 4 3 3 3 4 6 6 6 6 6 6 6 7 7 7 7 7 8 8 7 6 7 12 18 21 22 19 19 24 28 26 21 19 19 20 21 22 23 24 27 31 36 40 45 49 52 54 55 53 51 49 48 43 37 34 35 39 48 66 84 92 87 76 71 75 77 74 71 66 56 42 31 27 28 33 43 56 66 68 66 66 66 64 63 64 65 65 63 62 62 60 53 44 34 32 31 30 27 21 16 11 8 6 5 2 0 0 0 1 6 15 23 26 26 30 42 63 87 104 114 125 126 104 71 46 33 26 27 34 30 27 21 22 24 24 23 23 21 16 12 11 12 15 23 35 49 57 59 59 58 58 58 58 55 50 43 40 39 41 41 39 37 35 32 30 27 26 29 36 40 42 42 40 36 30 25 22 23 26 30 35 41 46 50 54 59 58 55 50 46 43 44 46 47 45 43 38 32 28 26 26 28 30 28 24 21 18 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
5 12 22 38 50 46 32 26 34 47 58 70 63 34 11 18 39 57 57 48 48 58 64 58 44 31 24 18 17 23 32 42 53 66 83 96 92 80 65 52 47 54 69 76 62 38 21 31 60 74 55 25 14 15 16 21 28 32 39 37 29 19 13 12 14 18 23 25 24 22 22 23 24 27 27 18 10 8 9 11 13 15 14 12 11 10 9 7 6 7 7 7 6 5 5 4 3 3 3 3 4 4 6 7 8 6 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 1 2 1 2 4 4 4 5 6 7 7 6 7 8 9 10 4 4 8 10 10 8 6 6 6 5 5 5 5 6 6 7 6 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 7 7 8 8 8 8 7 7 7 7 6 7 11 17 22 24 22 17 16 20 21 17 12 10 11 12 13 16 18 21 23 26 30 35 39 41 39 35 32 29 26 21 13 9 8 8 6 7 13 23 41 64 84 92 94 91 82 69 58 49 43 42 42 40 37 34 37 48 59 63 63 60 57 53 51 51 56 60 57 53 53 49 42 36 30 28 27 27 25 22 18 16 16 15 11 6 1 0 1 4 9 17 22 25 27 33 44 62 86 106 118 126 128 112 83 55 38 30 29 30 28 26 24 24 25 25 22 20 20 16 13 11 12 16 22 30 39 51 57 60 60 59 58 59 61 57 51 46 45 46 49 51 49 44 39 34 29 27 29 34 37 39 46 49 48 43 37 32 28 28 34 41 48 52 55 58 59 58 53 46 44 45 48 50 50 48 45 43 40 38 37 36 37 37 36 33 30 30 30 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
5 10 15 30 54 73 70 54 46 46 50 64 77 53 22 13 28 53 70 70 64 65 64 58 48 37 27 20 17 17 18 20 22 25 39 65 82 90 83 70 56 48 53 70 78 68 48 42 56 66 62 52 38 29 27 29 28 24 22 22 23 18 12 10 13 17 20 19 18 18 19 20 21 22 25 24 15 9 8 10 12 15 15 13 12 11 10 8 6 6 7 7 6 6 5 4 4 3 3 3 4 4 6 8 8 7 4 3 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 1 0 0 0 0 0 0 0 2 2 3 3 2 2 3 5 6 7 7 8 9 9 6 4 7 11 11 8 6 6 6 5 6 6 6 6 6 6 5 5 3 2 3 4 4 4 4 4 4 5 5 6 6 6 6 7 8 8 8 8 7 7 6 6 6 6 8 12 18 23 26 25 20 13 12 13 12 9 8 8 8 7 7 9 12 15 18 22 25 27 26 22 16 11 7 6 5 3 1 0 0 0 0 0 1 4 10 24 49 78 90 81 64 51 41 37 43 55 61 55 42 30 25 31 39 46 48 44 38 29 23 21 25 31 37 42 44 41 34 28 23 20 19 18 18 18 18 20 22 21 15 7 1 0 3 7 13 18 21 25 30 39 47 57 75 98 120 131 128 113 88 61 44 34 31 28 26 26 25 27 30 32 30 29 28 21 12 9 10 16 24 30 34 38 47 56 59 59 59 59 59 59 57 54 51 48 44 45 48 49 48 43 37 31 32 35 31 29 36 45 49 49 46 42 42 46 48 50 54 55 50 50 54 55 53 49 48 49 52 55 54 50 47 47 46 46 45 42 40 39 36 34 33 34 36 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
6 10 15 31 61 90 98 83 64 50 43 51 76 79 58 37 38 62 83 86 76 64 57 51 45 37 26 18 14 13 14 13 12 11 16 32 58 82 91 84 71 53 44 56 80 91 83 70 66 64 66 68 62 50 42 37 31 24 20 18 21 21 13 10 12 15 15 14 14 15 16 18 20 21 21 23 20 13 8 9 12 14 14 14 13 12 11 9 6 6 6 7 7 6 6 5 4 4 3 3 3 4 6 7 8 8 4 3 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 2 2 1 1 1 0 0 0 0 0 3 3 3 2 1 1 2 4 7 9 9 10 10 10 7 7 10 13 11 8 6 6 6 6 7 7 6 6 6 5 4 3 2 2 3 4 4 4 4 5 5 6 6 6 6 6 6 7 8 8 8 6 7 8 8 9 10 13 16 20 25 27 27 21 13 7 6 6 6 6 8 9 8 6 4 3 5 8 12 16 18 16 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 5 17 46 64 59 47 39 32 30 39 55 60 48 32 20 14 16 22 28 28 24 17 8 2 2 4 12 24 35 37 33 28 22 18 13 11 10 10 12 16 21 23 20 12 4 0 1 4 9 15 19 22 26 33 42 47 51 60 79 108 135 143 125 92 64 49 39 32 27 25 24 25 27 31 34 36 39 40 32 15 8 7 12 22 31 36 38 43 51 57 59 61 62 59 57 59 59 58 55 49 42 41 44 47 48 44 35 32 35 32 28 28 33 38 39 38 41 52 66 65 58 58 55 45 36 38 43 47 51 54 54 55 56 54 50 50 50 49 49 47 43 40 37 35 32 32 34 36 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
6 12 27 48 70 86 98 93 76 58 44 40 54 73 86 86 85 89 94 89 76 62 52 43 36 26 18 12 8 5 4 6 6 7 9 15 30 54 76 87 82 64 44 44 67 93 101 96 89 84 80 76 66 57 51 45 38 31 26 23 25 25 20 15 14 14 14 12 13 15 18 19 20 20 19 19 21 18 11 8 10 12 13 13 13 12 11 9 7 5 6 6 7 7 7 6 5 4 3 3 3 4 5 7 7 8 4 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 0 0 0 1 3 4 3 2 1 2 2 5 10 13 13 12 12 11 10 11 13 14 11 8 6 6 7 7 7 7 6 6 5 4 2 1 2 3 4 5 5 5 6 6 7 7 6 6 5 6 6 7 8 10 11 12 16 19 21 23 24 25 26 27 27 24 18 12 6 3 2 3 5 8 9 10 7 4 1 0 0 1 4 8 12 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 27 41 41 37 32 26 25 32 43 39 21 11 7 6 9 12 13 11 9 5 1 0 0 1 9 22 30 28 24 21 17 13 11 10 8 8 9 12 15 16 12 6 2 0 1 4 8 15 21 26 29 34 39 42 43 47 57 82 115 139 141 110 76 55 43 35 29 26 24 23 24 27 30 34 41 45 36 19 6 3 7 18 31 38 41 44 51 57 60 58 62 61 58 59 59 60 59 56 53 48 44 43 45 45 41 36 36 38 37 36 35 34 29 25 31 45 59 64 63 61 56 47 39 35 36 42 49 55 55 56 56 53 50 48 47 48 49 47 43 40 38 36 34 35 37 38 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 29 52 67 61 60 75 89 84 73 58 44 40 47 66 88 103 106 98 82 71 64 57 50 44 36 27 18 10 5 2 3 4 5 6 7 12 24 46 68 80 76 58 43 52 79 101 102 96 89 77 62 50 46 49 52 47 38 30 27 27 29 29 24 20 17 15 13 13 17 20 21 19 17 16 16 18 19 15 10 8 10 11 12 12 11 10 9 8 6 5 5 6 7 8 7 6 4 4 3 3 4 5 6 7 7 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 1 1 0 0 0 2 3 4 3 2 2 3 4 8 13 15 15 13 13 13 12 13 15 13 10 8 6 6 7 8 7 7 6 5 4 2 2 2 4 5 5 4 4 4 4 5 7 7 7 7 7 6 8 11 14 18 23 28 31 32 32 32 32 31 29 26 20 13 6 4 2 2 3 5 8 9 9 7 4 1 0 0 0 0 1 3 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 13 25 30 30 27 26 26 27 32 32 17 3 1 0 2 5 7 4 2 2 1 0 0 0 1 6 16 18 14 12 12 12 10 8 8 7 7 7 8 9 10 8 5 3 2 2 3 6 13 21 28 31 33 35 35 36 39 45 61 88 112 125 116 90 66 50 40 34 30 27 23 22 23 26 30 38 45 38 20 5 0 2 10 24 32 34 38 47 53 57 56 57 58 60 60 59 59 59 58 56 56 53 48 45 41 40 38 39 42 45 48 48 43 33 26 30 41 54 64 69 67 61 54 50 48 47 48 54 57 56 56 56 54 49 42 39 42 47 47 44 43 42 39 37 39 42 43 42 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
34 64 74 59 43 40 52 73 86 85 76 59 42 33 36 50 71 88 87 77 71 70 68 68 67 61 51 39 27 18 13 13 12 10 8 6 5 8 20 38 58 74 76 57 42 54 85 96 91 77 58 41 30 27 34 46 54 46 32 25 24 27 31 32 27 20 14 12 14 18 21 21 19 17 16 16 16 17 17 15 9 9 10 11 12 12 11 11 10 8 6 5 6 6 7 8 7 5 4 3 3 4 4 5 6 6 4 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 2 1 0 0 0 0 1 3 4 4 3 3 3 4 6 11 15 16 13 12 12 13 14 15 14 11 9 7 6 7 8 8 7 6 5 3 3 3 4 4 5 5 1 0 0 2 3 3 4 6 9 10 11 12 17 22 24 26 30 35 34 31 28 26 24 22 19 15 9 3 1 1 2 2 4 6 7 7 6 5 3 1 1 1 1 0 1 2 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 11 20 28 28 24 22 26 31 34 31 18 3 0 0 0 0 2 3 1 0 0 0 0 0 0 0 1 5 4 3 3 3 6 6 3 2 3 4 6 8 9 8 6 5 5 4 3 2 4 10 19 27 31 32 32 33 33 35 39 50 70 94 97 100 96 78 58 45 38 34 31 24 20 22 24 28 36 44 39 21 5 0 0 2 9 15 18 21 27 34 42 50 53 54 56 58 59 59 58 57 54 56 57 55 53 48 40 36 35 39 47 56 57 53 43 38 39 48 67 82 85 80 72 63 58 60 63 63 65 65 61 57 56 55 53 48 42 41 46 46 45 46 44 41 39 41 44 46 45 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
60 91 72 53 43 38 42 55 71 84 88 77 56 42 36 34 40 52 60 62 63 63 65 70 79 88 80 64 49 41 39 36 33 27 19 9 5 3 8 17 32 58 77 70 45 34 52 82 89 75 54 36 22 14 17 32 49 52 39 24 20 22 27 31 28 20 12 9 12 18 21 21 21 22 23 20 17 14 15 16 16 11 9 11 12 13 14 15 14 10 7 5 5 6 7 8 8 6 5 4 4 4 5 6 6 5 2 0 0 0 1 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 1 1 1 2 2 1 0 0 0 0 1 3 5 5 4 4 5 6 10 15 15 13 10 9 11 12 14 15 12 9 8 7 7 8 7 7 6 5 3 2 2 4 5 5 3 1 1 2 1 2 3 3 4 6 10 13 15 20 26 28 26 24 24 24 23 18 14 10 7 6 6 4 2 0 0 1 2 2 3 4 4 3 2 2 2 2 3 3 3 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 16 23 27 25 21 21 26 33 32 20 5 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 2 6 10 12 10 6 5 4 3 3 3 5 10 18 24 27 28 29 30 31 33 36 44 56 78 104 117 114 97 73 52 39 34 31 25 22 23 25 28 34 42 41 26 9 0 0 0 1 2 5 9 12 12 18 31 44 51 52 53 54 55 54 55 53 52 54 56 58 60 54 45 36 36 44 63 67 57 47 43 43 54 76 92 97 92 83 69 60 61 67 70 72 71 66 58 54 55 57 58 55 49 47 46 47 49 48 44 42 43 45 46 44 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
85 105 84 71 63 49 40 40 51 70 87 90 76 62 55 45 34 31 34 38 40 42 44 48 55 66 72 64 52 44 42 44 46 44 37 24 13 5 4 10 19 42 70 74 54 33 34 57 81 82 63 44 28 16 13 23 42 53 43 24 17 19 22 25 24 19 14 12 14 18 20 21 23 27 28 25 19 14 13 15 18 19 16 14 12 13 15 16 16 13 8 6 6 6 7 8 8 7 6 5 5 5 6 6 4 2 1 0 0 1 3 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 1 1 1 2 1 1 0 0 0 1 4 6 6 5 6 7 10 13 15 14 10 7 6 8 11 13 15 12 8 7 8 7 6 5 4 3 2 2 2 4 5 5 4 2 2 3 3 3 3 4 4 4 6 11 14 16 18 19 19 17 14 12 11 9 6 3 2 1 0 0 0 0 0 0 1 2 1 1 1 1 0 0 0 0 1 2 2 2 1 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 13 18 19 18 15 14 16 19 16 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 13 12 8 5 3 3 5 7 10 15 20 24 24 24 25 26 28 30 33 39 47 62 87 118 134 125 98 66 42 33 28 26 26 28 29 30 33 39 43 33 15 3 1 0 0 0 0 3 5 4 4 11 21 33 44 48 49 49 49 52 52 49 48 50 56 63 67 61 46 41 44 59 71 68 57 47 43 51 74 93 99 99 92 76 62 59 63 67 71 71 66 58 52 53 59 61 60 54 48 46 48 51 51 47 46 48 47 46 44 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
85 105 111 100 85 64 45 36 37 47 62 74 76 75 72 63 46 31 26 26 27 28 28 29 30 34 43 45 39 30 26 30 37 44 48 44 30 17 9 10 20 33 61 76 70 43 27 39 63 79 72 55 42 32 25 28 41 50 42 24 14 16 20 24 25 24 24 22 21 20 20 21 23 26 28 27 22 18 15 14 16 19 20 20 17 14 14 15 16 14 11 9 10 10 9 8 7 7 7 6 6 6 6 6 3 1 1 4 4 3 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 0 0 1 1 1 1 1 0 0 0 0 1 4 6 6 6 8 10 12 13 11 8 5 4 4 6 10 13 14 11 8 7 7 5 2 0 0 0 0 1 3 5 5 4 2 3 3 3 3 4 4 4 6 8 11 14 16 16 15 13 11 10 10 9 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 1 3 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 12 12 11 8 6 8 12 16 21 26 30 29 26 21 20 22 25 28 30 34 41 51 68 96 127 142 129 93 57 37 28 29 34 38 37 34 34 37 41 36 22 11 6 4 2 1 0 0 1 2 3 3 3 9 27 39 44 46 46 46 48 47 43 43 49 56 64 65 56 48 47 52 64 73 71 61 53 54 71 91 93 95 88 79 71 65 60 58 62 68 67 58 51 53 58 60 59 55 49 45 47 52 52 48 50 53 52 49 46 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
98 114 122 116 103 84 64 48 37 30 27 35 54 75 86 80 63 44 32 25 22 20 20 22 24 25 29 33 32 28 21 19 22 32 42 48 44 33 21 14 19 28 49 75 87 88 68 53 59 73 75 67 59 53 48 45 49 53 46 31 19 16 20 30 38 40 39 37 32 23 18 18 20 22 25 28 26 24 21 16 14 14 16 22 24 21 15 14 14 14 12 11 13 15 14 9 7 6 7 7 6 6 6 7 4 2 3 5 4 3 3 3 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 1 1 1 1 0 0 0 0 0 1 4 7 6 7 9 10 10 9 6 2 1 2 4 5 8 13 14 10 7 4 3 1 0 0 0 0 0 0 1 2 3 4 4 3 3 3 4 4 5 8 12 15 17 18 17 16 15 12 11 10 9 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 3 7 10 13 16 16 16 20 26 33 39 44 45 40 28 19 16 19 23 28 31 34 40 50 61 80 108 142 150 128 91 58 41 40 46 50 48 43 39 38 40 36 27 19 14 10 8 6 3 0 0 0 1 1 0 0 14 27 37 45 49 49 47 46 42 40 43 50 56 60 58 52 46 46 53 66 72 66 59 58 70 81 87 88 82 74 73 72 59 47 50 62 65 59 53 53 56 58 58 56 52 46 46 50 50 46 48 52 54 53 51 49 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
116 117 122 121 114 103 89 73 58 45 37 43 63 92 105 98 77 54 37 26 19 14 14 18 22 24 26 30 35 39 37 30 26 28 31 35 41 44 36 22 15 21 40 69 77 90 96 88 77 77 79 75 68 63 63 63 64 66 61 50 38 31 31 41 51 52 50 45 40 31 19 14 15 19 23 28 30 29 25 18 12 11 12 18 26 27 20 13 12 12 12 12 14 17 18 12 7 6 7 7 7 7 8 8 6 5 5 7 8 6 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 1 1 1 0 0 0 0 0 0 1 4 7 6 6 7 7 6 4 2 0 0 2 3 4 6 12 12 8 4 1 0 0 0 0 1 1 2 2 2 4 4 4 4 4 5 5 5 7 10 13 16 18 20 19 18 16 14 12 10 8 7 5 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 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 1 4 7 11 17 24 30 35 43 54 64 68 66 58 43 30 23 23 26 34 43 51 58 66 74 85 104 134 156 156 127 91 71 67 70 70 63 54 48 45 43 39 31 25 20 17 14 11 7 1 0 0 0 0 0 0 6 15 25 38 50 57 55 50 48 44 44 46 50 51 55 56 52 50 53 59 60 56 52 50 57 68 78 85 84 79 77 74 54 39 40 52 60 60 55 53 54 55 56 58 56 54 54 54 49 43 43 48 52 52 51 51 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
115 109 115 117 115 109 105 100 95 89 85 91 106 126 129 111 81 55 37 24 16 13 13 16 18 18 20 25 35 48 58 56 48 40 30 19 26 41 46 29 11 14 35 58 59 43 63 90 91 85 76 63 52 49 56 68 78 82 80 71 63 59 56 55 55 55 54 49 38 29 21 13 12 16 21 27 32 31 26 20 13 10 11 16 22 26 24 17 11 11 12 12 14 16 18 15 8 6 7 7 6 6 7 7 6 5 5 6 6 5 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 1 1 1 1 1 0 0 0 0 0 0 1 4 6 6 5 4 4 2 1 0 0 0 1 2 2 4 8 7 3 0 0 0 1 2 2 3 3 3 3 4 4 4 4 6 9 11 10 10 11 14 16 18 19 20 18 16 13 10 7 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 15 25 34 44 59 76 85 88 88 77 62 52 48 50 58 69 80 89 96 103 110 120 138 160 169 144 104 84 92 108 103 88 72 62 57 53 46 38 31 27 24 21 17 12 6 2 0 0 0 0 0 1 5 11 22 40 58 66 62 59 54 51 46 44 46 52 58 59 57 57 57 52 46 41 39 42 53 66 76 83 86 82 69 52 37 33 44 57 61 57 53 51 50 51 53 58 64 65 61 52 45 43 48 53 51 49 49 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
119 110 107 106 106 99 100 103 112 123 130 128 128 128 118 95 69 51 36 26 20 17 17 17 16 16 16 20 29 47 63 68 65 55 36 15 11 26 50 41 15 9 25 49 55 43 47 71 87 84 64 40 25 22 35 57 77 86 88 84 83 87 89 71 52 45 49 53 46 33 25 17 12 15 20 25 30 31 28 22 16 12 12 14 18 20 20 18 13 11 12 13 14 14 16 16 11 8 7 6 2 2 5 6 5 5 6 6 6 5 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 1 1 1 1 0 0 0 0 0 0 0 2 3 4 4 3 2 1 0 0 0 0 0 0 1 1 2 4 1 0 0 1 1 1 2 2 3 3 4 4 4 4 5 7 11 15 13 11 10 11 13 15 17 18 17 14 11 7 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 1 2 5 9 19 35 56 75 89 105 112 111 101 92 90 91 90 94 101 111 116 120 124 137 157 173 162 125 92 95 120 129 117 100 84 74 67 59 48 40 35 32 28 24 19 13 7 3 1 0 0 0 0 0 2 7 22 44 62 69 68 63 58 49 40 38 44 53 61 60 60 57 49 43 38 35 37 45 56 67 80 89 85 71 55 39 31 39 53 62 61 57 52 48 43 43 55 67 68 63 57 52 48 54 64 60 51 49 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
128 110 100 99 97 88 86 88 97 114 123 117 109 99 84 68 58 48 39 34 32 30 29 26 22 20 19 21 27 41 54 58 59 55 40 18 6 16 45 56 25 7 13 34 51 54 56 67 74 65 44 20 9 8 20 45 65 76 80 85 91 98 99 76 44 33 36 46 48 40 30 22 16 15 19 24 31 32 30 28 25 20 17 16 16 15 16 21 18 12 12 12 13 13 14 16 14 11 8 6 1 2 5 5 5 5 6 6 6 6 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 1 1 1 1 0 0 0 0 0 0 0 2 4 2 1 1 0 0 0 0 0 0 0 0 0 1 3 2 0 0 1 1 1 0 0 1 1 2 3 4 6 8 10 13 15 14 11 9 8 8 10 12 14 14 11 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 24 43 62 80 96 110 113 105 98 91 83 79 80 84 91 95 99 110 132 158 170 153 120 99 108 126 131 123 108 94 85 76 64 53 45 42 39 33 28 23 16 10 6 3 1 0 0 0 0 1 8 25 46 61 68 69 66 58 42 32 32 40 51 58 58 55 51 47 43 38 37 43 52 62 78 88 89 80 66 50 40 42 53 63 66 64 57 49 38 36 49 63 61 53 55 58 52 54 69 69 59 56 58 nan nan nan nan nan nan nan nan nan nan nan nan nan
132 116 107 105 102 96 91 87 85 90 92 94 89 81 74 68 63 56 50 46 46 46 45 41 35 29 27 29 31 35 39 40 40 43 42 26 9 10 36 60 44 11 4 16 37 52 64 70 63 43 24 15 10 13 28 52 67 67 67 74 85 92 91 73 42 30 30 42 51 47 35 26 22 19 20 26 37 37 33 33 34 31 24 17 14 13 16 24 24 15 11 11 12 13 14 15 15 13 12 10 8 7 6 6 6 6 5 6 7 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 2 4 2 1 1 2 2 0 0 0 0 0 0 2 6 10 13 15 15 13 10 7 4 4 4 6 7 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 27 38 46 50 54 60 58 53 49 48 50 52 58 66 70 77 93 123 156 175 161 129 113 121 132 134 128 120 110 96 82 68 57 52 47 43 39 35 30 23 17 11 6 3 1 0 0 0 1 8 24 42 55 63 68 69 57 40 29 28 38 51 60 60 59 60 58 51 42 43 48 57 72 86 91 89 82 70 57 53 60 66 70 70 64 53 41 36 49 64 57 42 48 55 51 50 60 68 68 67 70 nan nan nan nan nan nan nan nan nan nan nan nan nan
133 132 126 122 120 118 113 106 98 92 89 87 85 85 88 89 85 78 69 62 57 55 53 48 42 35 33 36 38 37 35 33 31 37 46 38 15 7 26 57 61 31 8 7 22 48 71 80 66 38 20 20 29 42 60 78 83 71 59 61 73 81 80 69 52 41 36 42 52 49 36 28 30 34 37 40 41 37 34 35 36 33 26 17 12 11 15 21 24 18 12 11 12 14 14 15 15 15 15 12 8 8 7 6 6 6 5 6 6 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 2 2 3 2 0 0 0 0 1 2 5 9 12 14 13 11 8 5 3 1 1 1 2 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 10 12 9 9 14 19 20 20 22 26 32 40 49 55 59 67 89 126 156 161 144 129 128 135 140 141 141 136 120 100 84 71 61 53 47 46 46 45 42 34 26 19 13 7 2 1 0 0 1 6 18 30 43 57 70 72 58 39 26 26 38 54 65 69 74 76 67 53 43 41 47 62 79 90 92 91 83 70 67 70 73 75 76 72 61 44 37 50 67 58 45 44 45 42 41 48 59 68 72 76 nan nan nan nan nan nan nan nan nan nan nan nan nan
120 127 130 131 131 132 132 127 119 110 101 96 96 96 97 99 97 92 85 76 68 63 57 49 39 32 32 39 45 46 44 41 40 44 51 48 24 6 13 44 67 54 27 13 17 37 63 77 70 40 26 30 46 66 85 98 97 78 58 54 62 70 68 63 62 60 53 48 51 49 35 31 38 50 52 47 41 34 35 42 42 31 24 18 13 12 14 17 20 19 15 12 13 14 15 15 15 15 15 14 11 9 7 6 6 5 6 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 3 3 2 2 2 2 1 1 2 3 5 7 9 10 9 8 6 4 2 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 0 2 4 6 7 8 11 18 29 41 50 54 55 62 84 114 129 121 111 112 123 136 145 156 160 144 120 101 84 68 53 44 45 50 56 59 55 46 36 28 19 10 4 1 0 0 0 3 7 17 32 54 73 74 59 40 29 30 38 50 64 77 83 78 63 42 31 34 46 66 83 90 92 86 76 71 74 78 81 81 79 72 54 42 53 60 54 50 48 42 32 29 35 48 64 74 78 nan nan nan nan nan nan nan nan nan nan nan nan nan
106 110 118 124 128 133 136 136 132 128 127 124 122 118 112 108 94 81 77 78 80 77 70 59 46 35 31 35 44 48 51 52 52 54 56 51 32 9 4 25 56 62 46 28 23 31 47 61 62 36 29 31 44 63 84 100 99 80 60 48 51 61 55 54 63 71 66 52 44 42 35 36 41 50 44 38 36 33 33 35 34 28 25 22 18 16 16 17 18 18 17 14 14 15 15 14 16 15 16 14 12 9 7 6 7 7 7 8 9 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 2 2 2 2 2 2 2 2 3 4 4 5 6 6 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 14 29 43 49 43 34 36 53 78 89 85 88 106 126 141 159 171 161 139 118 98 76 55 39 37 44 55 66 71 67 56 45 34 24 14 6 3 0 0 0 0 2 10 26 50 69 73 63 50 40 32 33 43 62 78 83 73 50 28 23 31 47 66 79 87 86 79 72 72 78 84 84 82 79 71 62 57 54 52 54 57 46 32 25 29 41 60 75 82 84 nan nan nan nan nan nan nan nan nan nan nan nan
108 106 110 115 122 130 135 138 138 144 150 149 143 135 129 114 83 56 47 60 82 93 92 86 80 70 56 44 41 47 58 65 65 62 60 53 37 16 6 11 34 55 56 44 36 36 45 54 52 36 28 26 30 44 66 85 90 77 61 49 50 61 52 45 56 71 70 56 43 40 38 39 38 40 34 30 30 28 27 29 33 35 32 28 25 23 21 20 19 19 17 15 15 15 15 14 16 15 16 14 11 8 6 6 7 8 7 5 5 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 2 2 4 5 7 7 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 30 39 31 16 8 9 22 50 72 90 112 128 143 160 173 170 154 133 111 88 63 40 29 32 42 58 74 84 82 68 54 43 31 19 12 6 3 1 0 0 1 7 23 48 70 76 70 61 45 30 27 40 58 73 79 67 45 24 24 31 42 59 76 86 85 78 75 76 81 82 78 78 81 74 59 46 45 52 58 49 38 34 32 38 56 75 84 85 nan nan nan nan nan nan nan nan nan nan nan nan
117 112 112 114 122 127 129 135 140 146 147 141 132 122 118 105 73 39 27 45 77 98 102 105 114 111 96 75 59 57 70 82 84 74 63 55 42 27 16 16 29 47 56 56 52 54 56 53 45 35 28 24 24 29 46 60 63 61 61 63 66 67 54 44 53 72 79 70 58 44 34 33 32 29 30 26 20 18 20 26 33 39 40 36 31 28 24 21 19 19 18 17 16 16 16 15 15 15 16 13 9 6 6 6 6 7 6 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 2 4 8 10 11 10 8 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 1 15 28 26 12 2 0 2 12 40 77 110 129 143 157 172 175 164 147 127 104 81 54 32 27 30 41 60 81 92 89 77 64 52 38 27 18 11 5 2 0 0 1 4 24 51 68 75 75 66 50 36 32 39 51 70 81 72 48 35 30 31 43 62 80 86 85 80 76 76 76 72 72 79 77 56 35 31 41 48 48 44 40 35 34 48 70 81 82 nan nan nan nan nan nan nan nan nan nan nan nan
118 119 119 120 124 126 124 130 135 135 130 122 111 101 94 96 78 45 32 47 72 85 87 88 103 116 118 108 96 93 99 106 107 96 74 56 46 38 34 36 43 50 56 59 60 63 61 54 49 48 46 38 28 24 31 37 30 34 57 78 84 75 59 54 62 77 83 79 66 42 28 25 25 23 23 19 11 7 13 20 24 29 34 37 35 31 26 21 19 20 21 20 18 18 17 16 15 15 15 10 6 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 14 15 13 9 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 5 16 22 14 1 0 0 0 9 37 79 112 133 145 154 157 157 157 146 124 103 81 56 38 29 30 41 61 82 96 95 86 72 59 47 36 26 17 9 3 1 0 0 11 28 47 64 78 82 73 60 47 39 35 52 72 83 76 61 46 34 34 50 74 86 88 86 79 76 73 69 69 75 75 54 27 23 35 47 49 46 41 34 29 39 58 74 79 nan nan nan nan nan nan nan nan nan nan nan nan
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