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