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