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