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