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