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 7 7 6 6 5 5 4 4 4 4 4 3 3 3 3 4 5 5 5 4 4 4 3 2 2 3 3 3 2 2 2 2 2 2 2 3 3 2 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 3 2 2 3 3 4 3 3 3 4 4 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 5 4 4 4 4 4 4 3 4 5 4 4 4 2 2 2 4 5 7 7 8 8 8 8 7 6 5 5 4 3 3 4 5 6 6 5 5 6 6 5 4 3 4 11 18 14 6 4 6 5 1 -2 8 8 2 1 5 3 7 10 9 7 5 3 3 7 8 4 6 8 4 1 5 2 -7 -4 5 11 6 1 5 10 8 1 -3 -1 -0 1 4 2 -2 5 7 2 -2 -0 3 4 4 6 4 -1 -1 0 3 3 -2 -2 3 5 3 8 27 41 30 12 7 6 7 6 5 3 4 5 6 7 8 9 9 10 11 11 12 11 9 7 5 3 3 4 4 5 5 4 4 4 4 5 5 6 6 6 4 3 2 2 3 3 4 6 6 5 5 7 6 5 4 4 4 4 4 3 4 6 7 6 6 6 5 5 5 5 4 8 9 4 3 3 3 3 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 3 5 7 7 5 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 3 3 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 10 22 35 25 8 2 2 -0 -3 -4 -9 -8 -15 -8 -1 -7 -7 -0 2 0 -3 -4 -8 -18 -22 -15 -10 -14 -13 -7 1 5 5 6 7 9 14 21 24 22 12 6 7 7 6 6 6 7 8 12 13 11 11 11 11 10 10 11 11 9 7 7 5 5 5 5 4 3 3 3 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 nan nan nan 2 4 6 6 6 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 3 3 3 2 2 2 3 4 4 3 2 3 4 3 3 3 3 3 2 3 3 3 2 3 3 3 3 2 3 3 3 3 4 3 3 3 3 3 3 2 2 2 3 2 2 3 2 2 2 2 3 2 2 3 3 4 4 3 2 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 4 6 6 8 8 8 8 7 6 5 4 4 3 3 4 5 5 5 6 6 6 6 5 4 3 7 17 22 12 4 2 7 13 7 8 12 10 7 4 6 3 2 4 9 12 9 5 8 16 12 6 6 5 3 6 11 5 -4 -4 3 8 6 2 1 2 7 2 -3 -3 2 9 8 1 1 6 8 5 2 -1 -2 -1 4 8 3 -2 -2 -2 2 5 5 5 9 11 11 22 35 35 19 7 6 7 6 5 4 3 4 5 6 7 8 8 8 9 10 11 13 12 11 8 5 4 4 4 5 5 5 4 4 4 4 5 6 7 7 5 4 2 2 3 2 3 3 3 4 4 4 6 5 4 4 4 4 3 2 3 5 6 5 5 5 6 6 5 5 5 4 4 1 -1 2 1 -0 0 2 3 3 2 2 2 2 3 3 3 3 2 2 2 2 2 2 3 3 4 4 5 5 4 3 3 4 5 6 7 7 6 4 4 4 5 5 5 5 5 5 5 5 5 4 3 3 3 3 4 4 5 4 4 3 2 1 2 2 2 3 3 4 4 5 4 5 4 5 6 12 25 35 32 21 11 4 3 4 1 -0 1 -0 1 -1 1 3 4 5 7 7 3 -0 -3 -5 -3 -8 -10 -9 -3 3 5 5 6 5 6 8 11 14 11 4 4 5 5 4 4 4 4 5 6 5 7 7 7 7 8 9 10 10 8 6 6 6 5 4 4 3 3 4 4 5 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 5 5 5 5 5 5 5 5 4 4 3 2 3 3 3 3 3 3 3 3 3 3 2 2 3 4 4 5 4 3 4 5 4 4 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 3 2 2 3 3 3 2 2 2 3 3 3 4 3 3 3 3 3 4 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 2 2 2 4 6 7 7 8 8 7 6 5 4 3 3 3 4 5 6 6 6 7 7 6 5 4 4 9 19 22 16 5 2 9 14 5 6 7 3 5 7 8 5 1 1 5 7 7 4 9 14 8 5 7 6 3 10 14 7 2 2 3 5 4 5 3 -3 -6 -3 -0 5 12 15 6 0 3 7 11 9 5 0 -1 1 5 7 4 -1 -2 -1 3 7 10 12 12 14 23 37 36 20 9 6 6 6 6 5 4 4 6 6 7 8 8 8 8 8 10 12 13 12 11 8 6 4 4 5 5 5 5 5 4 4 4 5 6 7 6 5 3 2 2 2 2 2 2 2 -1 -4 1 5 5 5 5 5 5 3 3 4 5 5 6 5 5 5 5 5 5 5 3 3 -5 -13 -5 -2 -6 -7 -1 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 3 4 4 5 5 6 6 6 5 5 5 6 7 8 7 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 5 5 5 4 3 3 3 2 2 2 3 3 3 4 4 4 4 3 4 4 9 21 29 31 23 9 4 2 -2 -2 5 6 6 4 4 3 4 6 8 10 7 5 8 7 7 6 1 -1 0 4 6 5 5 6 5 5 6 7 7 5 5 5 5 5 4 4 4 4 4 5 4 5 5 6 6 7 8 9 9 7 6 5 5 4 4 4 4 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 nan nan 3 3 4 4 4 4 5 5 6 5 5 4 3 2 3 3 2 2 2 3 3 3 3 3 2 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 2 3 3 3 3 3 4 4 3 3 3 3 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 2 2 3 4 6 7 7 7 7 6 5 4 4 3 3 3 5 6 6 7 7 7 6 5 4 5 9 12 11 15 11 4 6 8 2 -1 2 0 0 8 9 3 0 4 5 3 1 1 4 6 4 4 9 7 1 3 6 4 8 8 7 6 3 3 4 3 -3 -1 3 9 19 19 6 -0 3 10 14 10 4 1 2 6 6 4 2 -0 -1 1 4 9 13 15 21 29 39 40 26 11 6 6 6 6 5 5 4 5 6 7 7 8 8 8 7 9 10 12 13 12 10 8 6 5 5 5 5 5 4 4 4 4 4 5 6 7 6 4 3 2 2 2 2 2 2 1 -4 -5 3 6 5 5 4 5 5 4 5 5 5 6 6 5 5 5 5 5 6 5 4 5 -2 -15 -11 -4 -5 -7 -4 1 2 2 2 2 2 2 2 2 2 2 2 2 3 4 5 5 5 6 7 8 8 8 7 7 7 8 8 8 7 5 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 4 4 3 4 4 4 5 5 4 4 4 4 3 3 2 3 3 3 3 2 2 1 2 1 2 4 12 23 26 17 10 7 1 -2 3 7 8 5 4 5 6 6 7 8 8 8 5 4 8 10 7 3 3 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 5 6 6 6 8 9 8 6 5 4 4 4 4 4 4 4 5 6 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 4 3 4 4 3 4 5 6 6 5 4 3 3 3 3 2 2 3 3 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 3 4 4 4 4 4 4 4 3 3 3 3 4 3 4 3 3 3 3 3 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 3 3 4 4 5 5 4 4 4 4 5 4 3 2 2 3 5 6 7 7 7 6 5 5 4 3 3 3 4 5 6 7 7 7 6 5 4 5 7 6 4 10 13 9 7 2 -1 7 9 5 0 7 11 3 0 6 7 4 0 -1 1 5 3 2 4 1 -1 -0 0 0 11 11 10 9 3 0 3 8 9 9 6 9 15 14 11 5 6 9 8 5 3 4 9 8 1 -2 0 3 2 3 6 11 16 22 35 44 42 28 13 7 6 6 6 5 5 5 4 5 6 6 7 8 8 7 7 9 10 12 13 12 10 8 7 6 5 5 5 5 3 3 4 4 5 5 6 6 6 4 3 2 2 2 2 2 2 1 1 4 5 5 5 4 3 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 3 -4 -11 -5 6 7 1 1 2 2 2 2 2 2 2 2 3 3 3 3 5 6 6 6 7 7 8 8 9 9 9 8 9 9 8 8 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 -0 -2 -4 -5 -5 -5 -5 -2 5 14 15 12 10 6 3 6 9 9 6 5 7 10 10 11 10 9 12 9 7 7 7 6 5 4 5 7 8 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 5 5 4 5 5 5 6 7 8 7 6 5 5 4 4 4 4 4 3 5 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 3 3 4 4 3 2 2 3 3 5 6 6 5 4 5 5 4 4 4 3 4 4 4 4 4 3 3 3 2 2 1 2 2 1 1 1 2 3 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 5 5 5 5 5 4 5 6 5 3 2 2 4 6 6 6 6 6 5 4 4 4 3 3 4 5 6 7 7 7 6 5 4 5 6 6 8 11 11 9 9 1 -3 11 13 6 4 4 7 6 3 4 6 7 4 1 0 0 -1 0 0 -1 1 8 8 5 10 10 10 7 0 0 5 6 7 8 8 8 7 6 11 13 11 8 5 4 5 9 10 4 -0 -1 3 6 5 5 8 11 17 27 39 40 27 14 7 6 7 6 6 5 5 4 4 5 6 6 7 8 8 7 8 9 10 11 12 11 10 8 7 5 5 4 5 4 3 3 3 4 5 5 5 6 5 4 3 2 2 2 2 2 2 1 3 5 5 5 5 4 4 5 5 5 4 5 5 5 5 6 5 5 5 5 6 6 5 4 5 4 -4 -7 4 10 6 2 3 3 3 3 3 2 3 3 3 3 4 5 6 7 7 7 7 8 8 9 9 9 9 9 9 9 8 7 5 3 4 5 5 5 6 5 5 6 6 6 6 6 7 6 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 5 4 4 4 2 -3 -7 -12 -14 -12 -13 -13 -9 -4 2 8 9 8 8 7 10 11 9 7 5 12 14 11 18 16 12 12 10 8 7 6 5 4 3 5 8 8 6 5 5 5 5 5 5 5 5 4 5 5 5 5 6 7 7 7 7 5 4 4 4 5 6 6 6 8 8 7 6 5 4 4 5 4 4 3 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 3 4 3 2 1 1 2 3 4 5 5 5 6 7 6 5 4 4 4 4 4 4 3 4 3 3 3 2 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 4 5 6 6 6 6 5 5 5 6 6 5 3 2 3 5 6 6 6 6 5 4 4 4 3 3 3 4 6 7 7 7 6 5 5 5 6 7 11 14 12 10 10 5 -1 4 3 7 11 6 4 7 6 4 6 6 4 4 6 2 -2 2 2 -2 1 11 12 11 9 10 10 6 -1 2 9 4 0 0 4 3 7 5 3 6 7 8 6 1 5 8 7 2 1 3 4 4 5 6 7 10 16 27 34 27 14 7 7 7 7 6 5 4 4 4 5 5 5 6 8 8 7 7 8 9 10 11 11 11 9 8 6 5 4 4 4 3 3 3 4 4 4 4 5 5 5 5 3 3 2 2 3 2 3 2 2 4 5 5 5 5 5 5 4 4 5 5 6 6 6 6 5 5 5 5 6 6 5 4 4 5 3 -4 -9 -2 4 4 3 4 4 3 3 2 2 2 3 4 5 7 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 6 5 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 2 -1 -7 -10 -12 -10 -9 -9 -7 -1 2 4 6 8 7 6 9 9 7 7 1 3 9 13 17 16 11 8 5 5 5 6 5 4 4 6 9 10 6 0 1 4 5 6 5 5 5 5 5 5 4 5 5 6 6 6 6 6 5 4 5 6 6 6 7 7 7 7 6 5 5 5 5 5 4 4 4 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 3 2 3 3 3 2 2 1 1 1 2 4 4 4 5 7 7 5 4 4 4 3 3 3 3 4 5 5 4 2 1 2 2 2 2 2 3 3 3 3 3 2 2 3 2 2 2 2 2 2 2 2 3 4 3 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 5 6 7 7 7 7 6 6 6 6 6 6 5 3 3 4 6 6 6 5 4 4 4 4 3 3 3 4 5 6 7 6 5 5 4 5 5 7 9 11 12 12 11 9 6 4 4 8 8 4 2 5 8 7 7 3 0 3 9 8 2 4 2 -2 0 8 10 11 7 8 9 6 2 7 12 9 2 -1 -0 1 8 3 1 6 4 3 4 -2 1 4 2 -1 2 7 6 1 1 5 7 11 18 29 30 19 9 7 7 7 6 5 4 4 4 4 5 5 6 6 7 7 6 7 8 9 10 10 10 10 9 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 6 5 4 3 2 2 2 2 2 2 2 4 6 8 6 5 5 5 5 5 5 6 6 6 6 6 5 5 6 5 5 5 4 4 3 4 5 2 -5 -6 1 5 4 5 5 4 4 3 3 2 3 4 7 9 9 8 7 7 8 8 9 8 8 7 7 6 6 7 7 7 6 4 4 3 3 3 4 5 5 5 6 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 2 0 1 2 1 0 -1 -0 2 1 2 4 6 6 6 7 7 6 7 7 7 11 5 -5 -2 5 9 9 6 4 5 5 5 5 4 4 5 6 10 14 8 -4 -8 -3 4 6 6 6 6 6 5 5 4 4 4 3 4 5 5 5 5 5 6 7 6 7 7 6 6 7 6 6 5 5 5 5 5 4 4 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 3 3 3 3 3 3 2 2 2 1 2 2 2 4 6 7 5 4 4 3 3 3 3 3 4 5 6 5 4 3 3 3 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 2 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 5 6 7 7 7 7 7 7 7 7 6 7 7 5 3 3 5 6 6 5 5 4 4 4 3 2 2 3 4 5 6 6 6 5 4 4 4 5 6 9 11 11 9 8 8 7 6 7 6 6 3 4 6 6 7 5 2 1 2 8 4 5 3 2 3 6 9 9 6 6 6 2 4 10 10 14 10 5 2 4 3 -0 3 14 11 4 3 1 -0 4 -1 0 3 6 6 2 0 4 9 12 21 29 24 12 8 8 7 6 5 4 4 4 4 4 4 5 6 7 7 6 6 7 8 8 8 9 9 9 8 7 6 5 4 4 4 4 4 3 4 4 4 4 4 5 5 5 4 3 2 3 3 3 2 3 3 6 14 16 12 8 7 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 5 5 4 5 5 7 4 -3 -1 4 5 5 6 5 4 4 4 4 4 6 8 9 8 7 7 7 8 8 8 8 7 6 5 5 5 6 7 7 7 6 5 3 3 2 3 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 5 4 1 -2 3 6 6 5 4 5 5 6 6 6 6 6 6 8 10 9 7 9 16 16 3 -4 0 4 4 4 5 5 5 6 5 5 4 4 6 11 17 18 6 -3 -8 -3 6 7 7 7 7 6 5 4 4 4 3 3 4 4 5 5 5 5 6 7 7 7 6 6 6 6 6 5 5 6 6 6 5 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 4 3 4 4 3 3 3 3 3 3 2 1 1 1 2 5 6 5 4 4 4 3 3 3 4 4 5 6 6 5 5 4 4 3 2 2 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 3 4 4 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 4 3 3 4 3 4 4 4 3 3 4 4 4 4 4 4 4 3 4 4 5 5 4 4 4 5 5 5 5 5 5 4 4 5 5 6 7 7 7 8 7 7 8 8 7 7 7 7 6 4 3 4 6 6 5 4 4 3 3 3 3 3 3 4 5 6 6 6 6 5 4 4 3 4 7 11 12 9 5 5 4 3 6 8 7 8 9 5 2 6 9 9 3 1 5 5 5 7 7 5 3 6 6 7 8 4 -1 5 9 7 13 13 4 3 9 3 3 8 6 6 7 3 4 3 5 5 6 5 5 7 5 3 7 9 11 19 22 15 9 8 7 6 5 4 3 4 4 4 4 4 5 6 6 7 6 6 7 8 8 8 8 8 8 8 7 6 6 5 5 5 4 4 4 3 3 4 4 5 5 5 4 3 2 3 3 3 3 2 4 4 7 14 18 19 17 15 12 11 9 8 7 7 7 6 6 7 7 6 6 5 5 5 5 5 5 5 6 6 1 1 4 6 6 6 6 5 4 4 5 6 7 9 8 7 6 7 8 8 8 8 8 7 6 5 4 4 5 7 7 8 8 7 5 4 3 2 2 3 3 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 5 5 6 7 11 10 4 3 6 6 6 4 4 5 5 6 6 6 7 8 12 17 15 12 12 16 22 16 5 3 4 4 4 5 6 6 6 5 4 4 4 5 9 17 23 18 13 7 -1 3 6 6 7 7 6 5 5 5 5 5 4 4 4 4 5 5 5 6 7 7 8 7 6 6 6 6 6 6 6 7 7 7 5 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 3 3 3 4 3 3 4 4 4 4 4 3 1 1 3 5 5 5 4 4 5 5 5 4 4 5 6 6 6 6 7 6 5 4 3 3 4 4 3 3 3 2 2 2 2 2 2 2 2 1 2 2 2 2 3 3 3 3 3 2 2 2 2 2 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 4 3 3 4 4 3 4 4 4 4 4 3 4 4 4 4 4 3 4 4 5 5 5 4 4 4 5 5 5 5 5 5 4 4 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 5 3 3 6 6 5 3 3 2 2 3 4 3 4 5 6 6 6 6 5 5 4 3 2 3 7 13 16 11 6 4 3 2 8 11 8 7 6 4 4 8 11 9 5 4 2 3 6 9 7 2 2 4 3 3 5 2 1 9 8 6 13 12 -1 -1 9 4 6 7 4 5 4 2 5 4 4 8 10 9 7 6 6 6 4 3 7 15 15 10 7 7 7 5 4 3 3 4 4 4 4 5 5 6 6 6 6 6 7 7 7 7 7 7 8 8 7 7 6 5 5 4 4 4 4 3 4 4 4 4 5 5 4 3 3 4 3 3 3 2 4 4 5 7 12 17 20 20 20 19 17 15 15 15 13 10 8 7 7 6 5 6 6 6 7 8 8 8 7 7 7 5 5 6 6 6 6 6 5 5 6 6 8 8 7 6 6 7 8 8 8 7 8 7 6 6 5 4 4 4 4 6 8 8 8 7 5 4 3 3 3 3 4 4 4 4 4 4 5 5 4 5 5 5 5 4 4 2 2 2 3 4 4 6 11 16 13 5 5 6 5 5 5 4 6 8 7 7 8 12 18 23 21 16 13 11 12 12 8 6 5 4 5 5 6 8 7 5 4 4 4 4 5 10 18 16 12 12 6 3 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 9 9 7 6 6 6 6 6 6 7 7 7 6 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 3 3 3 3 3 3 3 3 4 4 4 4 4 2 2 4 4 3 3 3 4 5 5 6 6 5 5 6 6 6 6 7 7 7 6 5 5 5 6 5 5 4 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 4 4 3 3 4 4 3 3 4 4 4 4 3 4 4 4 4 4 3 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 5 5 6 7 8 8 8 8 8 9 8 8 8 9 9 9 8 6 4 3 5 6 6 4 3 2 2 3 4 4 4 6 7 7 6 6 6 6 5 3 2 2 9 18 20 12 7 3 3 4 6 9 8 2 -2 -2 3 7 7 5 2 3 2 3 6 9 7 2 4 9 5 -0 2 2 3 10 7 3 9 11 -0 -3 2 4 5 1 5 5 4 7 5 1 2 6 10 9 7 4 4 5 3 2 9 15 12 7 7 7 6 5 4 3 3 4 4 4 5 5 5 5 5 5 6 7 7 6 6 6 7 7 7 7 7 7 6 6 5 4 4 3 3 4 4 4 4 4 5 5 4 3 4 4 4 3 3 2 3 4 4 3 5 9 11 14 17 18 19 20 21 21 18 16 13 9 7 7 7 7 8 11 14 16 15 14 13 11 10 5 5 6 6 7 7 7 6 6 6 7 7 6 5 5 6 7 8 8 7 7 7 7 7 6 5 5 4 2 -2 -7 -4 4 8 8 8 6 5 5 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 3 1 -1 -4 -5 -3 -3 -2 0 5 12 12 7 6 6 6 5 6 5 7 9 9 10 14 13 13 16 17 13 9 8 6 5 5 6 6 4 4 5 6 8 7 6 5 4 3 3 4 6 9 9 6 5 2 1 4 4 4 5 5 5 4 4 4 5 5 5 5 6 5 5 4 5 6 7 9 9 8 7 6 7 7 7 7 7 7 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 nan
nan nan nan nan nan nan 5 5 4 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 2 2 3 3 4 5 5 5 6 6 6 5 5 5 6 7 8 8 8 8 8 8 7 7 6 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 2 2 3 2 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 3 4 4 5 5 4 4 4 4 4 4 5 5 5 5 4 5 5 6 8 9 8 8 8 8 9 9 10 10 11 11 11 9 7 5 3 4 6 6 4 2 2 2 2 3 4 4 6 9 8 6 6 7 7 5 3 1 3 11 20 18 9 5 1 5 8 5 -3 3 6 6 1 0 1 3 6 6 4 5 7 7 9 10 6 4 6 5 5 8 4 2 2 7 2 -0 6 3 -2 -2 5 4 2 7 3 4 9 5 -3 -1 6 8 8 6 4 4 5 7 11 17 16 10 7 7 7 6 5 3 3 3 4 4 4 5 5 4 4 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 4 4 4 3 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 4 5 7 9 12 14 14 13 14 15 15 15 15 14 14 16 19 19 18 17 18 20 20 16 9 4 6 6 7 8 9 8 7 6 6 6 5 4 3 3 4 5 6 7 7 7 6 6 6 6 6 5 4 3 -4 -14 -18 -8 4 8 8 8 7 6 5 5 5 3 3 3 2 2 2 2 3 2 1 0 0 -2 -3 -5 -10 -13 -14 -13 -11 -9 -4 4 8 7 6 6 6 7 9 9 7 8 8 10 11 9 5 6 9 9 7 7 5 4 5 6 6 4 4 5 6 7 7 7 6 5 4 4 4 5 5 6 8 9 3 -1 1 4 3 4 4 4 4 3 3 5 5 5 5 6 6 6 5 5 6 7 7 8 8 8 8 8 8 7 7 7 8 8 8 7 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 6 6 5 5 4 4 3 3 3 3 3 2 3 4 4 4 4 3 2 2 2 3 4 4 4 4 5 5 5 5 4 4 4 5 7 8 9 9 9 9 8 8 7 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 8 9 8 8 8 8 9 11 11 12 13 13 12 11 8 5 4 4 5 6 5 4 3 1 2 3 3 4 6 9 7 4 6 8 8 6 4 3 6 11 14 11 5 0 -1 8 7 5 -3 4 11 10 5 -1 -3 3 10 11 7 6 9 11 11 10 8 5 1 -1 6 11 7 1 1 8 5 -2 5 8 3 2 6 5 7 5 5 5 7 8 2 2 4 6 8 7 5 5 7 10 17 20 13 7 8 8 8 7 4 3 3 3 4 4 4 5 4 4 4 5 6 6 6 6 5 6 6 6 6 6 6 6 7 7 7 6 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 6 5 4 5 7 11 15 18 19 19 19 17 14 10 9 11 14 16 13 5 4 6 7 7 8 9 9 8 7 7 6 4 2 0 -2 -1 1 1 -0 3 6 6 6 6 6 6 6 6 6 4 -1 -7 -8 0 6 7 7 6 6 5 4 5 5 5 4 3 1 -0 -1 -0 -1 -0 -2 -5 -9 -10 -10 -10 -12 -12 -13 -12 -9 -5 1 5 6 7 8 9 12 17 19 12 8 9 5 3 5 5 5 5 7 7 7 6 4 4 5 6 5 3 4 5 6 6 6 6 6 5 5 5 5 5 5 6 9 10 4 1 4 4 4 4 4 5 4 2 2 5 6 6 7 7 8 8 7 7 6 6 7 8 8 9 9 9 9 8 7 7 8 9 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 nan nan
nan nan nan nan nan 5 6 6 5 5 5 5 5 4 3 3 2 2 3 4 4 5 5 4 3 3 2 2 3 4 4 4 4 5 5 4 4 3 3 3 4 6 7 8 8 8 8 8 7 6 6 5 5 4 4 4 4 3 3 3 3 3 3 3 2 2 3 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 3 4 4 4 4 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 3 4 4 4 4 4 4 5 4 5 5 5 6 7 7 8 8 7 8 8 10 12 13 14 14 14 14 13 10 6 4 4 5 6 6 4 3 2 2 2 3 4 5 7 4 4 7 8 8 6 4 4 8 10 8 4 5 1 4 8 3 -2 1 4 12 11 10 4 -1 3 7 9 11 9 9 11 11 9 8 8 4 2 6 8 4 3 6 9 7 5 8 8 5 7 7 5 8 8 12 9 8 8 8 5 4 4 7 8 6 5 6 10 18 16 8 7 8 9 8 6 4 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 6 6 6 6 6 7 6 6 7 6 6 6 6 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 6 9 11 14 13 9 6 5 4 3 3 5 8 7 4 5 6 7 8 8 9 8 8 8 7 6 4 2 -0 -5 -7 -4 -5 -12 -12 -3 4 6 6 6 6 6 7 10 14 16 14 13 6 4 5 4 4 3 3 2 3 3 5 6 5 2 -0 -3 -6 -8 -8 -9 -14 -16 -10 -7 -4 -3 -1 0 -1 1 4 4 4 5 7 9 12 15 21 25 20 14 11 6 4 4 4 4 5 6 6 7 6 5 4 5 6 5 3 3 4 5 5 6 6 6 6 5 5 5 5 5 5 6 7 6 3 3 4 4 4 4 6 9 3 -1 3 6 7 9 11 12 11 9 8 6 5 6 7 7 8 9 9 11 11 10 9 9 9 7 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 5 5 6 6 7 7 5 3 2 2 3 4 5 5 6 6 5 4 2 2 3 3 3 4 4 5 5 4 4 2 2 3 4 5 5 5 6 7 6 6 6 5 6 6 5 5 4 5 4 4 3 3 3 3 3 3 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 3 3 3 4 4 3 3 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 7 7 7 7 7 8 11 13 16 16 15 15 15 14 11 7 4 4 6 7 6 5 3 2 2 2 3 4 5 5 6 6 8 9 8 5 3 4 7 8 6 4 6 5 9 6 6 0 5 0 8 12 16 13 6 2 2 3 11 11 7 6 9 10 10 10 10 11 10 4 -1 1 8 9 8 7 4 4 7 8 8 7 7 10 16 11 7 6 8 7 4 5 7 8 5 4 6 13 19 13 7 8 9 9 7 5 3 3 3 4 4 4 4 4 4 3 4 4 5 6 6 5 5 5 5 6 5 6 6 6 6 6 6 6 7 7 6 6 6 6 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 2 2 2 1 2 2 3 4 5 6 6 5 3 3 3 3 2 3 4 5 5 5 6 7 7 7 7 8 8 8 8 8 7 6 6 6 5 -0 -1 -1 -8 -18 -18 -6 4 6 6 6 6 7 12 20 26 22 16 8 4 4 3 3 2 1 -1 -2 -1 1 1 1 0 -1 -5 -13 -18 -18 -15 -13 -8 -1 0 0 2 4 5 7 8 7 7 6 7 8 8 9 2 2 13 16 11 9 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 4 3 3 4 5 5 6 6 6 6 5 5 5 4 5 5 5 5 4 4 3 3 4 4 6 10 9 3 3 6 7 9 13 16 16 13 9 6 5 5 6 7 7 7 9 15 19 18 15 12 9 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 4 5 6 6 7 7 6 4 3 3 3 4 4 5 6 7 7 5 4 3 3 3 4 4 4 4 4 4 4 3 2 3 4 4 4 5 6 6 5 5 4 5 5 5 5 5 5 5 4 4 3 2 4 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 7 7 8 9 11 14 18 17 16 16 15 14 10 6 4 5 6 7 6 5 4 4 3 2 2 4 5 6 7 8 8 8 7 5 3 4 6 7 6 5 6 9 9 5 8 9 11 1 2 12 17 14 10 2 1 -0 3 6 5 5 11 14 12 10 10 12 9 1 -0 4 5 8 11 5 -3 1 9 8 6 7 8 9 9 7 6 8 10 6 2 5 8 7 5 4 6 15 19 12 7 8 9 8 7 4 3 3 4 4 4 4 4 4 3 3 4 4 5 5 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 5 5 5 5 4 4 3 4 4 4 3 4 4 4 4 4 3 4 4 3 2 2 2 1 2 2 3 3 4 4 4 3 3 3 3 3 3 3 5 6 5 5 6 6 7 6 6 7 7 8 8 8 7 7 8 9 12 15 13 9 9 7 -4 -15 -16 -8 -1 1 2 3 6 9 15 21 17 6 3 4 3 2 1 -0 -2 -5 -9 -11 -8 -7 -10 -11 -9 -9 -13 -14 -9 -1 3 2 2 2 2 5 5 4 6 8 8 8 8 11 14 13 8 4 -1 2 7 5 6 6 6 5 5 5 6 6 6 6 7 7 6 6 5 5 5 4 4 4 4 5 6 5 6 6 6 5 4 4 4 5 4 5 5 5 4 3 4 5 6 7 8 7 6 6 7 8 13 18 21 18 11 6 5 4 5 6 6 6 12 24 34 34 24 13 7 6 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 4 3 3 3 4 4 5 5 6 5 5 5 5 4 4 4 5 6 7 8 6 5 4 4 4 4 5 5 5 4 4 3 3 2 3 4 4 4 5 5 5 5 5 4 4 5 5 6 6 6 5 4 4 3 4 4 4 4 4 3 3 4 4 4 3 3 4 4 4 4 5 4 4 3 3 3 3 2 2 2 2 3 4 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 8 9 12 17 20 21 19 17 16 13 8 5 4 5 6 7 7 6 5 5 4 3 2 3 4 6 7 8 9 8 7 6 4 4 6 8 7 7 6 7 6 8 5 7 7 8 2 10 10 6 10 4 5 0 -1 7 4 6 11 12 11 9 5 6 5 -0 5 9 2 5 12 5 -3 1 8 8 6 7 8 7 3 1 4 9 10 4 1 5 8 8 5 4 7 16 17 10 7 8 8 7 6 3 3 3 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 3 4 4 4 3 3 2 2 2 2 3 4 4 4 3 3 3 3 3 4 4 5 7 7 6 6 6 6 6 6 5 6 6 7 7 7 7 7 7 8 10 13 13 11 11 11 6 -2 -15 -21 -17 -14 -11 -7 1 6 7 9 7 3 2 2 2 1 -2 -5 -7 -9 -11 -14 -15 -13 -13 -14 -13 -9 -4 1 6 10 13 6 1 3 5 8 9 8 7 7 10 12 14 14 14 15 14 15 9 2 4 5 5 5 6 6 5 6 6 6 6 6 7 7 7 7 6 6 5 4 4 3 4 5 5 5 5 6 7 6 5 4 4 2 3 5 5 5 5 5 5 5 6 7 7 6 6 6 6 7 9 14 21 21 15 8 4 4 5 6 6 6 12 28 45 46 29 10 4 6 8 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 3 3 3 3 3 4 3 3 4 4 5 5 5 4 4 5 6 7 7 6 5 4 4 4 4 5 5 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 5 5 6 6 6 6 6 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 4 3 2 1 2 3 2 2 2 2 2 2 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 8 11 15 21 24 24 22 18 14 10 7 4 3 5 6 8 7 7 6 5 4 3 3 3 4 6 8 9 10 9 9 7 5 4 7 10 9 8 7 3 3 7 3 7 6 9 1 3 1 -1 6 7 10 8 4 6 2 1 2 4 9 11 6 3 1 0 5 6 1 4 9 4 2 4 6 6 4 5 7 8 3 -3 -1 6 7 2 3 6 10 8 4 4 9 17 15 8 7 7 7 6 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 7 6 6 6 5 5 5 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 2 3 4 4 4 4 6 7 6 6 5 6 6 6 5 5 5 6 7 7 7 7 7 6 6 6 7 8 7 7 9 6 3 -3 -13 -17 -17 -18 -15 -9 -3 1 3 3 2 2 2 0 -2 -5 -6 -7 -8 -5 -3 -7 -6 -3 -3 -4 -1 5 8 9 8 10 10 8 8 9 10 14 18 14 10 14 19 20 15 7 6 11 9 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 6 5 5 4 4 4 5 5 5 5 6 7 7 6 5 7 4 -2 1 5 5 5 5 5 6 7 8 8 6 6 7 7 6 6 10 15 18 17 11 5 3 5 6 6 6 9 21 35 36 21 7 5 8 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 3 3 3 3 3 3 2 2 3 3 3 4 4 4 5 5 6 6 6 5 5 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 6 6 5 5 5 5 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 3 2 1 1 2 2 1 1 2 1 1 1 2 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 5 4 3 4 4 4 4 4 4 4 5 5 5 5 6 7 7 7 8 10 15 21 26 27 25 21 16 11 7 5 4 5 5 6 7 8 7 6 6 5 4 3 3 4 6 8 9 10 10 9 7 5 5 7 9 9 8 7 2 0 2 2 8 16 13 2 -2 -0 -0 1 10 14 16 9 5 1 -3 -3 1 8 11 8 8 5 1 2 3 4 6 5 4 6 5 4 3 2 3 5 5 3 1 -1 3 4 3 6 8 10 6 3 3 8 17 14 7 8 7 6 5 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 7 7 6 6 5 5 4 4 4 4 5 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 4 3 3 3 3 3 3 4 5 4 4 4 4 5 6 5 5 5 6 6 6 5 5 5 6 7 7 7 7 7 6 6 6 6 6 6 8 12 14 9 6 0 -2 -3 -6 -9 -16 -16 -10 -3 1 2 2 2 2 -0 -0 3 4 2 2 4 4 4 3 3 5 6 9 10 7 4 6 11 11 14 16 16 19 24 23 22 20 16 14 13 8 3 4 5 5 4 3 3 3 4 4 4 5 5 5 5 5 4 5 6 6 7 8 7 6 5 4 4 4 5 5 4 4 5 6 7 7 6 9 10 2 -0 4 5 6 5 5 6 7 8 7 6 6 7 8 7 5 5 8 14 16 12 6 4 5 6 6 7 8 13 17 14 7 4 7 12 14 11 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 4 4 4 4 3 2 2 2 2 3 3 4 3 4 5 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 6 6 5 4 4 4 4 5 6 6 7 7 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 5 6 7 7 6 4 2 1 1 1 2 1 1 2 1 1 2 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 7 8 10 15 23 30 32 29 22 16 11 7 4 4 4 5 5 6 7 8 7 7 6 5 4 4 3 5 6 8 10 10 10 9 5 3 4 6 7 7 6 7 4 1 2 4 8 20 15 5 0 2 5 1 10 13 13 9 6 4 0 0 5 7 7 10 15 13 6 5 3 5 7 4 6 8 5 2 -0 2 6 8 4 3 6 4 2 3 4 7 9 9 5 2 3 9 17 13 8 8 7 6 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 6 7 7 7 7 7 6 5 5 4 4 5 5 4 4 4 4 4 3 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 3 3 4 5 5 6 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 8 15 23 21 11 5 4 4 6 1 -10 -16 -18 -14 -7 -3 -3 -2 1 4 6 7 8 6 5 6 6 6 6 5 6 7 9 9 5 4 5 7 9 17 21 20 18 17 19 18 12 8 6 9 9 5 4 5 5 4 4 3 3 4 4 3 3 4 5 5 4 3 4 5 6 7 7 7 7 6 5 4 4 5 5 5 3 1 4 6 6 5 7 11 9 4 3 5 5 5 5 6 7 7 6 6 6 7 8 9 7 5 6 11 11 8 6 4 5 6 6 8 8 7 4 2 1 3 7 13 16 14 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 3 3 3 3 5 5 5 5 5 4 3 2 2 2 3 3 3 2 3 4 5 6 6 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 4 4 3 4 4 5 5 6 6 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 6 7 8 6 5 3 2 2 2 3 2 3 3 3 3 3 3 4 4 3 3 3 3 4 3 3 3 4 4 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 7 9 15 27 36 38 33 25 17 10 6 4 3 3 5 5 6 6 6 7 8 7 6 6 5 4 4 4 6 7 9 9 9 6 4 3 3 4 6 7 5 5 2 4 7 7 5 10 8 5 1 2 7 6 7 5 3 7 4 4 3 7 9 7 8 11 12 9 10 9 3 4 7 8 6 5 6 4 0 3 8 12 8 3 4 4 3 3 6 7 9 8 5 3 4 12 18 13 7 8 7 5 4 3 3 4 3 3 4 4 4 4 4 4 3 3 4 5 5 5 5 5 4 5 6 5 5 5 5 4 4 5 6 6 6 6 6 7 7 7 7 7 6 6 5 5 5 5 5 5 4 4 4 3 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 4 5 5 5 5 6 6 6 6 6 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 8 12 19 23 17 13 11 7 5 3 -1 -4 -7 -12 -15 -16 -17 -13 -9 -5 -4 -3 0 3 5 6 6 7 9 8 7 7 9 9 9 8 7 8 10 15 16 11 8 8 7 5 5 5 5 5 6 5 4 4 4 4 4 4 4 4 5 4 3 3 4 5 4 4 3 4 5 6 7 7 8 7 5 5 4 5 6 8 6 -2 -0 4 5 5 5 6 7 5 4 4 4 5 5 6 6 6 5 6 6 7 8 9 8 7 8 9 7 6 5 5 5 6 7 7 6 4 2 2 3 4 6 9 13 15 14 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 4 4 4 4 4 5 6 6 6 6 5 4 4 3 3 2 2 2 2 2 3 4 5 5 5 6 6 5 5 5 5 4 4 4 5 4 4 5 5 4 5 5 5 6 5 4 3 3 4 4 4 5 5 6 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 5 7 7 7 5 4 3 3 4 4 3 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 8 13 29 42 44 38 28 17 10 6 4 4 3 3 4 5 6 6 7 7 7 7 7 6 5 5 4 4 5 6 7 7 6 4 5 6 4 4 7 7 5 1 -0 7 9 7 4 3 5 5 0 3 9 10 6 -1 -5 3 1 1 7 12 9 8 11 11 6 5 10 10 4 4 9 10 4 2 7 8 3 3 8 12 10 5 4 6 6 7 7 7 8 6 5 4 7 12 17 13 7 7 6 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 4 4 4 4 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 4 4 4 4 3 3 3 4 4 4 4 5 5 4 4 5 6 6 6 5 4 4 3 2 2 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 5 5 6 8 10 13 20 27 24 18 11 6 4 3 3 -2 -12 -17 -15 -14 -12 -11 -12 -9 -3 2 6 7 6 8 10 9 8 8 11 13 13 12 14 17 16 10 7 4 4 4 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 3 3 3 4 5 4 3 4 4 5 6 7 8 7 6 5 4 5 5 8 11 4 -2 3 4 4 4 5 5 4 4 4 4 5 6 6 6 5 5 5 6 7 7 7 7 8 9 10 8 6 4 5 6 6 7 6 5 3 4 6 8 8 7 7 10 12 10 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 4 4 5 5 6 6 7 7 6 6 5 5 4 4 3 3 2 2 2 2 3 3 3 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 3 3 4 5 5 5 5 6 6 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 5 6 7 8 6 5 4 4 4 4 5 5 4 5 4 5 4 4 3 3 4 4 3 3 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 8 9 24 44 45 37 28 17 9 5 4 4 5 5 4 4 4 5 6 7 7 8 7 8 7 6 5 5 5 5 5 6 6 5 4 6 7 3 5 9 10 7 0 1 7 7 6 7 7 9 5 2 5 8 9 6 -1 -5 -2 1 2 8 11 7 7 10 7 5 6 7 7 3 4 8 8 3 5 11 10 4 2 5 8 9 7 8 11 9 11 9 8 7 5 4 6 8 9 12 16 11 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 6 5 5 5 5 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 4 4 4 3 4 4 3 4 4 4 4 5 4 4 4 5 6 6 5 4 3 3 2 3 3 4 4 4 3 3 3 4 5 5 5 5 4 4 5 4 4 3 3 4 4 4 4 4 3 4 4 5 5 7 9 16 22 21 22 21 17 13 11 10 5 2 2 1 -3 -2 -1 -3 -2 4 7 6 7 9 11 9 10 9 13 19 20 20 22 23 19 12 6 4 4 4 4 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 5 5 5 4 3 3 4 4 4 4 4 4 5 6 7 7 7 6 5 4 4 5 6 7 7 2 2 3 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 5 6 6 7 7 8 9 9 9 7 5 5 6 6 6 5 5 5 6 8 10 10 8 7 9 8 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 4 5 5 5 6 7 7 7 7 7 6 6 5 5 4 4 3 2 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 5 5 5 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 5 6 7 7 6 5 4 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 6 6 6 7 9 15 34 42 26 16 14 9 5 4 4 5 7 6 4 4 4 5 5 6 7 8 9 9 8 7 6 5 5 5 6 7 7 6 5 5 5 2 3 9 13 10 6 6 6 3 4 5 6 7 5 4 2 1 3 6 2 -4 -4 2 5 7 8 6 7 4 1 1 4 7 5 1 1 5 5 4 8 11 9 4 2 2 4 6 6 10 12 10 12 11 10 7 4 5 7 9 8 9 19 16 7 6 5 4 4 5 4 4 3 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 6 5 5 5 5 6 5 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 5 5 5 4 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 6 7 7 10 15 19 22 23 23 22 21 21 19 13 8 6 7 7 7 13 19 18 13 19 20 15 16 15 16 22 24 22 19 15 10 6 4 4 4 4 5 5 5 4 4 4 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 6 5 4 5 6 6 4 3 2 2 2 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 6 7 8 8 9 8 6 5 5 5 6 6 6 6 6 7 9 10 9 8 7 5 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 5 5 4 4 4 4 5 6 7 7 7 7 7 7 8 8 7 7 7 5 4 3 2 2 2 2 2 2 3 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 7 7 6 5 5 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 6 6 7 8 12 22 30 25 10 3 5 3 1 3 5 6 7 7 5 4 4 4 4 5 6 8 9 10 9 8 7 6 6 7 8 8 7 7 6 5 7 6 4 6 8 11 11 9 7 4 4 3 2 3 5 8 4 -2 1 8 7 0 0 4 6 8 7 6 8 4 2 1 3 8 6 4 1 3 5 4 7 7 4 4 4 2 -1 -1 4 10 12 11 11 12 11 6 4 5 6 8 7 11 20 18 7 6 5 5 4 5 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 6 5 5 5 5 5 6 5 5 4 5 5 5 6 6 6 6 7 7 7 7 7 7 6 5 4 4 4 4 4 4 5 4 4 4 3 4 5 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 3 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 6 9 12 17 20 21 23 24 22 21 22 19 16 17 17 19 22 27 29 27 27 26 25 23 20 14 14 15 12 7 5 5 4 4 3 3 4 5 6 5 5 4 4 3 3 3 3 4 4 3 3 3 4 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 6 7 7 7 5 4 6 6 6 5 3 2 2 2 2 2 3 3 3 3 4 4 5 5 5 5 5 5 5 6 5 5 5 6 7 8 8 8 7 6 6 6 6 7 8 7 7 7 8 8 9 10 8 6 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 6 6 5 4 3 4 4 5 6 6 6 5 5 5 6 8 8 8 8 8 8 7 6 4 3 3 2 2 1 1 2 3 3 3 4 5 4 4 4 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 4 5 5 5 5 5 5 5 6 6 6 5 5 5 6 6 7 6 5 4 3 4 4 4 4 5 5 4 4 4 4 5 5 5 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 8 10 16 24 22 14 9 3 1 -1 -5 -2 4 6 7 8 7 5 4 4 3 4 5 7 9 11 11 9 7 7 7 8 8 7 6 7 8 7 9 8 9 12 7 9 8 6 9 11 8 2 1 4 7 11 7 2 6 13 11 5 6 7 8 8 7 6 7 8 9 7 5 7 7 6 2 6 6 1 5 5 4 6 8 6 0 -2 2 7 12 15 11 11 9 5 3 3 6 9 7 15 22 14 7 7 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 6 6 7 7 5 5 4 4 4 4 5 5 4 4 3 4 4 4 4 4 4 5 5 5 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 2 3 4 4 4 5 5 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 7 8 9 11 12 13 12 11 14 19 23 22 23 25 24 20 18 19 21 18 18 18 16 14 9 6 6 6 5 4 4 4 3 3 3 4 5 5 6 5 5 4 4 3 4 3 3 3 2 2 2 3 4 6 6 5 4 4 5 6 6 5 4 4 4 4 5 5 6 7 8 6 5 5 6 7 6 5 3 3 3 2 3 3 3 3 3 3 3 5 5 5 5 5 6 6 6 5 5 5 5 6 8 9 10 10 9 7 6 6 7 7 8 7 7 7 6 8 10 11 9 9 7 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 5 6 6 6 5 4 4 5 5 6 6 5 4 3 3 4 5 6 6 7 8 8 8 8 7 6 5 5 4 2 2 1 2 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 6 4 4 3 3 3 4 5 5 4 3 3 4 5 5 5 4 4 3 3 4 3 4 4 4 3 3 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 6 7 7 9 14 21 25 18 11 12 8 -1 -7 -11 -7 1 5 7 8 9 7 5 4 3 3 3 5 7 10 11 10 8 7 8 8 7 6 6 7 10 8 5 8 14 16 6 8 3 1 10 14 9 2 0 1 7 9 8 7 9 11 9 9 10 8 8 8 5 5 8 10 9 6 4 6 5 2 2 6 6 1 3 3 4 5 7 11 7 3 5 6 11 19 14 10 8 4 1 -0 5 11 10 16 23 13 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 5 4 4 4 3 4 4 5 4 3 4 5 5 5 5 4 4 3 4 5 5 5 5 4 4 4 5 5 4 4 4 4 4 3 3 3 4 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 8 8 10 14 16 16 16 13 10 8 6 6 6 7 6 6 6 5 4 4 4 4 4 4 4 3 2 3 4 5 6 5 5 5 5 5 4 4 5 4 3 2 1 1 2 4 7 8 7 4 4 5 6 7 6 4 3 3 3 4 5 6 7 8 7 6 5 6 7 7 6 5 4 4 3 4 4 3 3 4 3 3 4 5 5 5 6 6 6 7 6 5 5 5 6 7 9 11 14 13 9 7 6 5 6 7 7 6 6 6 6 8 10 9 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 6 7 7 6 5 5 5 6 6 6 4 3 3 3 3 3 3 4 4 6 6 7 7 7 7 7 7 7 4 3 2 3 3 4 4 4 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 7 7 7 7 7 7 8 7 6 4 3 2 3 3 4 4 3 3 3 3 4 5 4 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 6 5 5 6 7 9 13 21 27 25 16 9 12 5 -8 -12 -12 -7 0 5 6 8 9 8 7 5 4 4 4 4 6 8 11 11 9 8 9 8 6 5 5 4 5 8 10 9 6 4 2 4 1 2 8 9 8 6 7 7 6 5 5 6 5 1 4 10 10 8 7 6 3 3 7 9 5 0 3 6 2 -1 -1 3 8 8 8 6 5 1 2 10 10 8 8 6 11 20 19 11 6 3 -2 -1 6 13 13 16 23 14 6 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 4 3 3 4 6 6 5 4 3 3 4 4 5 4 4 4 5 5 4 4 3 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 3 4 5 5 5 5 5 5 6 6 5 5 5 6 6 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 1 2 4 9 11 9 5 4 5 6 8 7 4 3 3 3 3 4 5 6 7 8 7 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 7 7 6 6 5 5 6 7 8 11 14 15 12 8 6 5 5 6 6 6 6 6 6 7 8 8 7 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 4 5 5 6 6 6 6 6 5 5 4 4 4 4 3 3 2 3 3 3 3 3 4 5 5 6 6 7 8 7 7 5 4 4 4 4 4 4 4 5 5 4 4 4 3 3 2 2 3 3 3 3 4 4 5 4 3 3 2 1 2 1 1 1 2 3 3 3 3 4 4 4 4 4 4 4 5 6 6 6 7 7 7 7 7 7 7 7 7 8 8 7 5 4 3 3 3 3 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 7 8 12 23 30 28 20 10 5 2 -10 -20 -16 -9 -3 1 4 6 7 8 8 7 6 5 5 5 5 6 7 10 11 10 10 10 8 6 5 4 2 -1 1 8 9 4 -2 1 2 6 4 2 4 6 8 12 13 7 2 1 3 2 -1 2 8 8 7 7 5 0 -0 3 5 2 -1 4 5 3 1 -3 -1 13 16 11 9 5 -3 -1 3 6 10 14 13 12 20 24 13 4 -1 -4 -0 8 13 13 15 22 17 7 7 7 6 5 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 5 4 5 5 5 4 4 3 3 4 5 5 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 5 5 5 4 4 4 3 3 3 3 4 4 4 5 6 6 6 5 5 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 4 3 4 4 4 5 5 4 5 5 5 5 3 2 2 1 3 2 1 2 5 9 11 8 5 5 6 6 7 7 5 3 3 3 3 4 4 5 6 7 7 7 6 6 5 6 7 6 6 6 6 6 6 6 5 5 5 4 4 5 5 6 6 6 7 6 6 6 5 5 6 7 9 11 13 12 10 7 6 6 5 5 6 5 5 5 6 7 7 8 9 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 5 6 6 7 6 5 4 3 3 4 4 3 3 3 2 2 2 3 2 2 3 4 4 4 6 7 7 7 6 5 5 4 4 4 5 5 5 6 6 6 6 5 4 4 3 3 2 3 3 3 4 6 7 6 3 1 1 1 0 0 1 2 3 3 3 3 2 3 3 3 3 4 4 4 5 6 6 7 7 7 7 7 6 6 7 7 8 8 8 7 5 4 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 4 4 5 5 5 4 4 5 5 5 5 5 6 7 12 24 35 32 20 11 3 1 -9 -24 -25 -15 -6 -0 2 4 6 7 8 8 7 5 5 6 6 7 7 8 10 12 11 11 9 7 6 5 4 4 3 -0 -1 2 5 2 2 5 8 5 -2 -1 -1 3 11 10 5 1 1 2 4 5 6 7 6 5 6 6 2 -0 0 1 2 3 4 4 2 4 -2 -1 18 20 8 7 4 -4 -0 2 3 7 13 15 16 25 27 14 3 -2 -4 3 10 10 10 14 24 19 7 7 7 6 5 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 4 4 4 4 5 6 6 6 6 5 4 3 3 3 2 2 3 3 4 4 5 5 6 6 6 6 6 5 4 4 4 4 4 5 4 4 5 4 4 5 5 5 5 5 5 5 4 5 5 5 4 4 3 3 4 4 4 4 4 5 5 4 3 1 -5 -7 1 4 2 2 4 7 8 6 5 5 6 6 6 6 5 4 4 3 3 3 3 4 5 6 8 8 7 6 5 6 7 7 7 6 7 7 7 6 7 6 5 4 4 5 5 6 6 5 6 5 5 6 5 5 6 6 7 8 9 10 10 8 7 6 6 6 6 6 5 5 5 6 7 7 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 5 6 6 5 4 3 2 3 3 3 3 3 2 2 2 2 2 2 3 4 4 4 4 5 6 6 6 5 5 4 4 4 4 5 6 6 6 6 7 6 6 5 4 3 3 3 3 3 4 7 11 11 6 2 1 1 0 -0 1 2 3 3 2 2 2 3 3 3 3 3 3 4 4 5 6 6 7 7 6 6 6 6 6 7 7 8 8 7 6 5 5 4 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 7 12 23 37 38 25 9 4 5 8 -10 -25 -20 -9 -2 1 3 4 6 7 8 7 6 5 5 6 8 9 9 10 11 12 12 11 7 5 5 6 4 3 5 8 8 8 8 2 -1 4 10 8 0 -1 -2 1 12 10 3 3 1 0 5 10 9 7 6 3 3 8 8 5 3 1 2 3 1 1 4 8 2 -1 16 19 5 3 2 -2 3 1 1 5 11 13 22 32 28 13 3 -1 -3 4 10 8 7 11 24 20 7 7 7 6 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 4 5 4 4 5 5 5 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 3 4 4 4 4 5 4 4 4 4 4 5 5 5 6 6 6 6 5 4 3 3 4 4 5 6 6 5 4 2 2 2 2 3 4 4 4 4 5 5 5 6 6 6 7 6 5 5 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 3 4 3 3 3 3 3 4 4 5 4 4 -4 -12 -6 3 3 3 4 6 6 5 5 5 5 5 6 6 6 5 4 4 4 3 3 3 3 2 5 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 8 9 9 9 8 6 6 6 6 6 6 6 6 7 8 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 3 3 3 5 5 5 4 4 3 2 3 2 3 3 3 2 2 2 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 6 7 7 6 5 4 3 3 2 3 7 13 15 10 5 2 1 0 0 1 2 2 2 2 2 3 3 2 3 3 3 3 5 5 5 6 7 7 6 6 7 6 6 6 7 7 8 8 7 7 8 8 7 5 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 5 5 5 5 5 6 5 6 7 11 20 31 37 31 18 1 -4 7 3 -15 -20 -11 -3 0 2 3 5 7 8 8 7 5 4 5 6 9 10 11 13 15 17 13 8 5 4 6 8 7 5 4 4 6 10 9 3 -2 3 11 12 7 7 6 9 13 9 2 0 -0 2 5 8 7 7 5 1 3 11 14 10 6 5 5 5 2 1 6 12 5 -0 8 10 3 2 -2 1 8 -1 -3 7 12 10 25 36 25 9 2 -1 -0 7 11 10 7 10 21 19 7 7 7 6 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 4 4 4 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 5 6 6 6 6 5 3 3 3 3 4 4 4 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 2 3 3 4 6 6 2 -4 -5 2 4 4 4 5 5 5 4 3 3 4 6 7 7 5 1 3 4 3 3 4 3 -1 0 6 7 6 6 5 6 6 7 7 8 8 8 7 7 7 7 7 6 5 6 6 6 5 5 5 5 5 6 6 6 6 5 5 6 7 8 9 9 8 8 7 6 6 6 7 7 8 8 10 11 9 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 9 6 4 3 4 5 5 5 4 4 3 2 2 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 6 5 6 6 7 7 7 5 4 3 2 3 6 12 16 13 6 3 2 1 1 1 2 2 2 3 3 3 3 3 3 3 3 4 4 5 5 5 6 6 7 6 7 7 6 7 7 7 8 7 7 8 9 8 7 6 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 7 9 13 17 22 26 25 19 10 -2 -8 -8 -23 -23 -12 -2 1 2 3 4 6 8 9 8 7 6 4 5 7 10 11 14 17 22 20 11 7 7 5 7 9 7 10 10 4 -1 -3 -1 -1 1 6 12 18 19 15 12 13 11 7 1 -1 2 6 5 3 3 6 5 0 1 11 16 12 9 9 9 9 6 3 9 11 4 -1 3 7 3 1 -8 -0 15 3 -3 3 4 8 27 35 20 6 -0 -1 3 9 12 10 8 13 20 15 7 7 7 6 5 4 4 4 4 4 4 4 4 5 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 4 5 4 4 5 5 5 5 5 4 4 4 5 5 6 6 6 5 4 3 3 3 3 3 4 5 6 6 6 5 5 5 5 5 4 4 4 4 4 3 4 4 5 5 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 2 1 1 1 2 5 8 6 1 0 4 4 4 4 5 5 5 4 3 2 2 5 10 11 8 -2 -2 3 4 4 6 6 4 1 3 6 6 6 5 5 5 6 7 8 8 7 7 6 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 6 6 5 5 5 6 7 7 8 9 8 8 7 6 6 6 7 8 9 11 12 10 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 14 13 10 7 5 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 2 2 3 4 4 4 4 3 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 8 7 5 4 4 5 9 13 11 6 3 2 2 2 2 2 3 2 3 3 3 3 4 3 3 3 4 4 4 5 5 5 6 7 7 7 7 6 7 7 7 8 7 7 7 8 8 7 6 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 8 8 9 12 14 17 17 16 14 11 5 -1 -4 -10 -18 -23 -14 -2 2 3 4 4 5 7 8 8 8 7 6 5 5 7 10 12 17 22 21 14 9 7 10 5 5 6 4 8 8 2 1 -3 -4 -1 5 8 13 23 26 17 12 11 9 6 2 1 5 8 7 3 5 9 7 0 -1 8 15 14 11 9 7 6 4 2 6 10 8 -0 0 10 11 6 -6 -3 13 9 -1 -3 1 18 33 29 13 2 -1 0 5 9 10 8 8 15 22 13 5 7 8 6 5 5 4 3 3 3 4 4 4 4 4 3 3 3 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 5 4 5 5 4 5 5 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 5 5 5 6 5 5 4 3 3 3 3 3 4 5 6 8 8 6 6 5 5 5 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 2 0 -1 -1 2 10 13 4 2 5 6 5 4 5 5 6 5 4 2 1 4 9 12 11 5 -2 1 3 4 5 7 8 4 4 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 8 8 9 9 7 6 6 6 6 8 9 10 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 15 15 14 12 9 8 7 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 2 2 2 3 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 8 9 9 8 7 7 7 6 8 9 8 5 3 2 2 3 3 3 3 3 4 4 4 4 4 3 4 3 3 4 4 5 4 5 6 6 7 7 7 7 6 7 8 8 7 7 6 6 7 7 6 5 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 9 12 11 14 17 15 14 10 10 7 -0 -5 -3 -0 -4 -5 -2 1 3 3 4 5 6 6 7 7 7 7 7 6 5 6 8 10 15 21 24 17 9 6 1 5 6 4 3 3 6 3 -2 -1 1 4 8 13 6 9 18 19 13 9 9 7 4 2 2 5 9 10 6 7 11 9 3 0 5 14 16 9 2 2 7 7 2 0 9 13 4 1 11 17 15 5 -1 1 11 10 7 10 26 30 20 6 -0 -2 0 5 9 8 5 7 16 22 14 4 7 9 7 5 5 4 3 3 3 4 4 4 4 4 3 3 3 4 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 5 5 4 5 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 5 5 5 6 5 4 4 3 3 3 3 3 3 4 6 8 8 7 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 5 5 4 3 3 3 3 4 3 1 -1 -2 -3 1 11 10 5 5 7 5 4 5 6 6 6 5 3 2 5 7 7 10 11 5 3 4 4 4 6 6 5 4 4 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 7 7 7 6 6 5 5 5 5 5 5 6 6 6 7 7 7 6 6 6 7 7 8 9 9 9 8 7 5 5 5 6 6 5 5 4 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 10 10 10 9 9 9 9 9 9 8 7 6 5 4 4 5 5 4 3 3 3 4 5 6 6 5 4 3 3 3 3 3 4 3 4 4 3 3 3 3 3 4 5 6 6 7 7 7 9 9 8 8 6 5 3 3 3 3 3 3 4 4 5 5 4 4 4 3 4 3 3 3 4 4 4 4 4 5 6 6 7 7 6 6 7 8 8 7 6 6 6 6 7 6 5 4 4 4 5 4 4 4 4 3 4 4 5 5 5 6 5 5 5 5 5 6 5 5 5 5 10 16 15 16 13 8 7 7 10 7 3 9 15 15 10 8 8 6 5 5 6 6 6 6 6 7 7 7 8 8 7 7 10 14 20 26 24 15 8 3 1 4 6 6 6 5 6 7 9 9 6 6 7 8 1 4 8 7 5 5 4 4 5 5 4 5 11 10 6 5 8 8 6 3 4 12 12 3 -0 4 7 8 6 5 9 10 8 6 7 11 11 10 4 -6 4 21 24 21 23 20 9 -1 -0 -1 -1 4 8 6 4 8 18 22 11 4 7 9 7 6 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 7 6 6 6 6 5 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 5 5 5 5 5 5 6 5 5 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 3 4 6 8 8 6 5 4 4 4 4 4 4 4 3 3 3 2 3 3 4 4 4 5 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 6 5 5 5 4 4 3 4 4 6 5 2 1 -1 -5 -3 4 7 6 6 5 4 4 6 6 7 6 4 3 3 5 5 7 8 6 5 4 4 5 5 5 4 4 4 4 4 5 5 4 4 4 5 6 7 7 7 6 5 5 6 6 6 6 5 5 5 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 8 8 9 10 10 9 7 6 4 3 3 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 10 10 10 12 12 12 11 11 11 12 13 12 10 9 7 7 6 6 7 8 7 6 5 6 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 4 5 7 9 9 7 5 4 3 3 3 3 4 4 5 5 6 5 5 4 4 4 4 3 3 3 4 4 4 4 4 5 5 6 6 7 6 6 7 7 8 7 6 6 6 6 6 6 5 5 5 6 6 6 5 5 4 5 5 5 6 6 5 5 5 5 6 6 6 6 5 5 6 8 14 20 19 13 6 3 5 7 11 11 15 29 30 21 13 8 6 6 6 7 7 6 6 7 7 7 7 8 9 8 9 11 13 17 21 22 18 10 6 4 7 9 7 7 8 7 5 9 16 19 14 11 6 -4 -4 7 7 1 -1 -2 -3 3 13 14 6 4 10 10 6 3 4 7 7 6 8 8 3 -1 5 12 10 2 4 12 11 9 13 11 4 5 6 7 10 -6 -7 17 29 26 17 7 -3 -4 1 -0 0 6 8 7 5 7 16 22 13 4 7 9 7 5 4 3 2 2 3 3 3 3 3 4 4 5 5 4 5 6 6 6 7 7 6 5 5 5 5 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 5 5 5 3 3 3 3 3 3 3 3 5 6 6 6 5 4 4 4 4 4 4 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 5 9 12 9 7 6 1 -4 0 6 6 6 5 5 4 5 6 7 7 5 4 3 4 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 5 6 6 6 6 6 5 5 6 6 6 5 6 6 6 6 6 6 5 6 6 6 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 7 5 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 7 7 7 8 10 11 11 10 10 10 11 13 14 13 11 10 9 8 7 8 11 12 10 8 7 6 6 6 7 8 10 10 8 6 5 4 3 3 3 3 2 2 1 1 2 2 2 2 2 2 2 3 4 5 7 6 5 4 3 3 3 4 4 4 5 6 6 6 5 5 4 4 4 3 3 3 3 3 4 4 4 4 5 5 6 6 6 6 6 7 7 7 7 6 5 5 5 5 5 5 7 8 7 7 6 6 5 5 6 6 6 6 5 5 5 6 6 6 6 6 5 7 9 14 20 22 16 7 4 4 6 7 9 13 17 24 13 4 1 3 4 7 7 7 7 7 7 7 7 7 8 9 10 10 12 15 16 16 16 15 11 8 4 2 7 13 13 10 8 6 7 9 15 16 11 11 13 -5 -0 15 10 1 -2 -4 -5 5 17 14 6 4 7 10 10 7 4 5 3 5 10 5 -2 -2 10 15 9 -1 4 13 11 14 19 10 2 5 10 11 10 1 -5 12 29 22 10 -1 -7 -0 4 2 4 8 7 6 5 6 13 22 17 6 6 8 8 5 4 3 2 2 3 3 3 3 3 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 3 4 3 3 3 3 3 4 4 4 5 6 5 5 5 5 5 5 4 5 5 6 6 7 7 7 6 5 5 9 15 16 12 11 9 4 3 5 6 6 6 5 5 5 6 7 7 6 5 4 3 4 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 7 7 8 8 8 9 9 9 10 11 11 11 10 9 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 6 7 8 7 7 6 8 9 11 11 11 9 9 9 8 7 9 13 13 10 8 6 5 6 7 8 10 12 11 8 6 6 4 3 3 3 3 2 2 2 2 2 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 7 7 6 6 5 4 3 4 3 3 3 3 4 4 4 4 5 5 6 6 6 6 6 7 7 7 7 6 6 5 5 5 5 7 8 8 8 8 7 7 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 10 17 21 21 16 9 5 4 4 5 7 8 10 6 -6 -14 -11 -3 3 6 8 7 7 7 7 7 8 8 7 8 9 11 11 14 17 17 14 10 8 9 8 4 1 3 10 15 15 10 9 8 1 -1 3 10 15 15 0 9 16 8 1 2 -1 -2 8 14 8 4 5 7 10 11 7 6 7 1 -0 6 3 -3 2 14 12 5 4 9 7 6 14 16 8 4 4 8 12 10 12 9 21 30 18 3 -9 -8 8 12 9 10 10 7 5 4 7 13 21 19 8 5 8 7 6 4 3 3 3 3 2 3 3 3 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 4 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 5 6 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 2 2 2 1 2 3 4 5 5 5 5 5 5 4 4 5 5 6 6 8 8 8 6 6 8 14 18 14 10 13 6 4 6 6 6 7 6 6 6 7 7 7 7 6 5 4 5 6 6 6 6 6 6 5 4 5 5 6 6 5 4 5 6 6 6 5 4 3 4 5 5 5 5 6 6 6 7 7 7 7 6 5 5 5 6 6 6 6 6 6 6 7 8 7 7 7 7 7 8 9 9 9 9 10 11 12 12 10 9 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 4 4 4 4 4 4 6 8 9 9 8 8 8 8 8 10 12 11 8 7 6 6 7 9 11 12 11 9 7 5 5 5 4 4 3 3 3 3 3 4 5 4 3 2 3 3 4 3 3 3 3 4 4 4 5 5 5 4 5 5 5 5 6 7 7 6 6 5 4 3 3 3 3 3 4 3 4 4 4 5 6 6 6 6 6 6 6 7 7 6 6 5 5 5 6 7 7 8 8 8 8 8 7 7 6 5 5 5 5 4 5 6 5 6 6 6 7 11 20 21 15 10 7 6 5 3 4 6 7 2 -8 -23 -18 -6 2 6 7 7 7 7 7 7 8 8 7 7 8 9 9 11 15 18 17 12 6 2 5 3 4 6 4 3 7 10 10 11 6 -5 -11 -6 5 15 6 2 14 11 5 7 10 4 0 6 5 3 9 11 9 8 6 6 9 9 4 -1 2 2 -0 10 20 12 1 1 3 -0 4 10 7 7 11 10 6 0 6 20 23 34 30 14 -7 -21 -6 21 28 21 16 11 8 6 4 7 13 20 20 9 4 7 7 6 5 4 3 3 2 3 3 3 3 4 4 5 5 5 4 5 5 6 6 6 6 6 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 6 7 7 6 6 6 5 4 4 3 3 3 2 3 4 4 4 4 3 4 5 5 5 4 3 3 3 4 3 3 4 4 5 4 4 5 5 5 5 4 4 2 1 -1 -2 -3 -2 -0 2 4 5 5 5 5 5 4 4 5 5 6 8 9 8 7 6 8 13 18 12 6 7 6 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 6 6 6 6 5 4 3 5 7 8 7 5 4 5 7 9 9 6 4 3 4 4 4 5 4 5 5 6 7 7 8 7 6 5 4 4 5 5 5 5 6 6 7 7 7 7 7 7 6 6 7 8 9 9 8 8 9 10 11 12 12 11 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 3 3 3 3 2 2 3 4 5 6 6 5 6 7 7 8 9 10 10 8 8 7 6 7 10 11 12 10 8 6 5 4 4 5 4 3 3 3 4 6 8 8 7 6 5 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 6 6 5 4 3 3 3 3 3 3 4 4 4 4 4 5 6 6 6 6 6 6 6 6 7 6 6 5 6 6 6 6 7 8 8 7 7 8 7 5 4 4 5 5 4 4 5 5 5 6 7 8 9 18 20 12 9 9 7 5 3 4 7 6 -1 -9 -14 -6 2 6 7 7 7 7 7 7 7 8 8 8 7 8 8 9 13 18 18 14 11 4 2 1 -0 4 12 11 5 4 5 8 8 5 1 0 -2 2 8 -0 3 15 11 8 19 22 9 2 2 0 6 14 13 7 2 -0 4 9 4 2 5 7 7 9 14 18 10 -4 -13 -9 0 8 5 1 6 13 12 5 -2 6 18 30 39 28 10 -13 -21 3 30 36 28 19 12 8 7 6 8 11 17 20 12 5 7 7 6 5 4 3 3 2 3 2 3 3 4 5 5 5 5 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 5 4 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 3 3 2 3 4 4 4 4 4 4 4 5 4 4 3 3 3 3 2 2 3 4 4 5 5 5 5 5 5 4 4 4 3 1 -0 -5 -9 -8 -6 -3 3 5 5 5 5 5 4 5 5 6 8 8 8 6 6 8 12 16 14 7 3 5 5 5 6 7 7 7 7 7 6 7 7 7 7 6 6 7 7 6 6 6 6 5 3 4 6 9 10 8 5 3 4 7 10 9 6 5 4 3 4 4 4 4 4 5 5 6 7 7 7 6 5 5 4 4 5 5 5 5 5 6 7 7 7 7 7 6 6 6 7 8 9 9 8 8 7 8 10 12 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 3 4 3 3 3 3 3 3 3 3 3 4 4 5 6 6 7 8 8 8 8 7 7 7 8 10 11 10 8 7 5 4 4 4 4 3 2 3 5 7 10 11 12 10 7 6 5 4 4 5 5 5 5 4 4 5 5 5 6 5 5 5 5 6 6 7 7 6 4 4 3 3 3 3 4 3 4 4 4 4 4 5 5 6 6 6 5 6 6 6 6 6 5 5 5 5 4 5 6 7 7 7 6 7 6 5 5 4 4 4 4 4 4 5 5 6 8 8 8 13 18 17 12 10 7 4 3 7 7 4 2 -1 -0 3 5 7 6 6 7 6 6 6 7 7 9 9 9 9 10 14 17 18 15 11 9 6 8 7 3 4 8 8 8 8 6 5 3 4 9 15 15 11 1 -6 -2 1 6 10 22 22 4 2 4 6 13 15 8 3 -1 -1 3 4 -1 -1 7 11 15 13 8 5 5 2 -4 -4 3 3 -6 -6 4 12 8 -0 -2 4 11 31 39 24 8 -10 -9 10 23 25 21 16 10 7 6 7 7 10 18 22 13 5 6 7 6 5 4 4 3 2 3 2 3 3 4 5 5 5 5 4 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 2 2 1 -1 -1 0 2 4 5 5 4 5 5 5 4 4 4 4 5 7 3 -6 -9 -8 -10 -6 0 5 5 5 5 5 5 6 7 7 8 7 6 5 7 10 15 17 9 4 5 5 5 6 7 7 6 6 6 6 7 8 8 7 6 6 7 6 6 6 6 6 5 4 4 8 12 12 9 6 4 4 6 8 8 7 5 4 4 4 4 4 4 4 5 5 6 6 7 7 7 6 5 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 9 9 9 7 6 8 10 13 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 3 3 3 3 4 3 3 3 3 3 2 3 3 3 4 4 5 6 6 6 7 7 6 6 7 8 10 11 9 8 6 4 4 4 4 3 2 4 5 7 8 10 11 10 8 7 5 4 3 5 6 7 6 4 4 4 5 5 5 6 6 6 6 6 6 6 7 6 5 3 3 3 3 4 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 4 4 3 3 3 4 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 7 9 8 6 7 18 23 15 10 7 5 5 6 4 2 2 3 5 6 6 6 6 6 6 6 6 6 6 8 11 11 12 13 15 16 15 15 13 9 6 6 9 11 8 8 4 6 8 9 5 1 1 4 7 7 7 6 9 10 -0 -8 -1 5 12 9 -0 0 4 7 13 14 10 3 0 2 4 4 3 3 3 6 14 10 2 -1 3 -0 -5 3 17 12 -5 -5 4 7 1 -5 -1 4 6 29 38 22 4 -5 1 12 15 14 12 10 7 6 6 5 6 11 19 17 7 6 7 6 6 5 4 4 4 3 2 3 3 3 4 5 5 5 4 4 4 4 5 6 5 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 1 -2 -4 -4 -3 0 3 4 5 5 5 4 4 4 4 4 4 4 10 11 4 1 -1 -5 -6 -1 4 5 5 5 5 5 6 7 8 8 6 5 4 5 7 11 12 7 6 5 5 6 6 6 6 5 4 4 5 7 8 8 7 6 5 6 6 6 6 6 6 5 4 5 9 12 14 12 7 5 4 5 6 7 7 6 5 4 4 4 4 4 4 5 6 6 6 7 8 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 9 10 10 8 7 6 8 10 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 4 5 4 4 5 5 5 6 7 9 11 11 10 9 7 6 6 7 6 5 5 5 6 6 6 7 8 7 6 5 4 3 4 6 7 6 4 3 4 4 4 5 5 6 6 6 5 5 6 6 6 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 4 3 3 3 2 3 3 4 5 6 5 6 6 5 5 4 5 5 4 4 4 4 4 5 8 8 7 3 5 21 25 15 10 8 7 6 2 -1 -1 1 4 6 7 7 7 6 6 5 5 6 6 7 11 15 12 13 16 13 12 12 12 11 10 7 4 2 1 5 9 7 5 7 9 5 0 3 6 1 -3 -1 4 18 26 16 5 2 1 4 4 3 3 4 6 14 17 14 6 3 5 6 6 8 6 -1 -1 5 4 1 4 6 -4 -13 2 27 22 5 1 1 -3 -5 0 3 3 9 27 34 21 4 -0 9 14 13 10 9 7 7 6 6 5 5 9 13 9 5 9 11 8 6 5 4 4 4 4 3 3 3 3 4 5 5 5 5 4 4 4 5 5 5 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 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 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 3 2 3 3 4 4 4 5 5 4 4 4 4 4 3 1 -3 -5 -5 -3 -0 3 4 5 5 5 4 4 4 4 3 3 4 7 9 8 7 6 3 -0 1 5 5 5 5 5 5 6 7 8 7 6 4 4 4 5 6 7 5 5 5 6 6 6 6 6 5 4 3 5 6 7 7 6 6 5 5 6 7 6 6 6 6 4 5 8 11 13 13 11 7 5 5 5 6 6 6 6 5 4 4 4 5 5 6 6 6 6 7 7 8 7 7 6 6 5 5 5 5 5 4 4 4 5 5 5 6 7 7 7 7 7 8 9 9 9 7 7 7 8 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 4 4 5 5 5 5 5 6 8 10 10 10 9 9 10 10 9 8 7 6 6 6 7 6 8 8 7 6 6 5 5 6 7 6 4 3 3 4 4 4 5 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 6 6 6 5 5 4 3 3 2 2 2 3 3 4 5 5 5 5 5 4 5 5 5 5 5 5 3 4 7 9 8 4 1 7 21 24 14 10 8 8 8 3 -1 -0 5 7 8 8 7 6 6 6 5 6 6 6 11 18 14 10 13 13 9 8 10 11 10 10 8 3 -3 -3 4 7 8 6 5 8 7 2 8 10 5 8 7 -1 5 15 14 12 6 2 3 6 6 6 5 6 15 20 13 7 5 6 4 4 4 2 -1 -1 -1 -1 2 9 13 6 2 8 13 6 2 1 -3 -7 -3 6 6 4 14 23 25 17 8 8 13 14 11 9 7 6 6 6 6 5 5 8 9 7 6 10 17 13 6 5 4 5 5 4 4 3 3 4 4 4 5 5 5 4 4 4 4 4 5 5 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 3 3 3 3 4 4 5 4 5 5 5 5 5 4 4 1 -1 -3 -3 -1 1 4 6 6 5 5 4 3 2 2 0 -0 2 4 7 8 7 6 5 1 -5 -1 5 6 6 5 6 7 8 8 7 5 4 5 5 5 5 5 4 5 6 6 6 6 6 6 5 5 4 4 5 6 7 6 6 6 6 7 7 7 6 6 6 6 6 6 9 11 13 12 10 7 6 5 6 5 6 6 6 5 5 5 5 6 6 6 6 6 7 7 7 8 7 6 6 5 5 5 5 4 4 5 4 5 5 5 6 6 7 7 7 7 7 8 8 9 8 8 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 4 4 4 4 4 4 3 3 3 3 2 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 5 6 6 7 7 9 10 11 11 10 9 9 9 9 10 11 12 12 11 10 9 8 7 7 6 5 4 4 4 5 5 5 5 5 5 5 6 5 5 5 6 6 5 4 4 4 4 5 4 4 4 4 4 3 4 4 4 4 5 5 6 6 6 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 6 5 4 4 6 9 9 6 2 1 9 23 22 13 10 9 9 11 13 15 11 10 9 8 6 5 5 5 5 6 5 6 10 19 21 11 10 13 9 9 10 10 10 9 7 3 1 3 6 7 5 7 8 4 7 6 3 8 5 8 20 11 -1 3 4 3 6 6 3 4 5 6 5 2 1 2 2 -1 6 6 3 2 1 -1 -1 2 4 3 3 7 12 15 9 4 8 8 1 -1 0 -1 0 4 7 9 14 18 17 12 9 11 14 15 12 10 8 6 4 5 6 5 4 5 7 7 6 6 10 20 17 7 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 4 3 3 4 4 4 5 5 5 5 5 5 5 4 4 3 1 0 0 1 3 5 6 6 6 5 4 2 1 -1 -3 -4 -2 3 7 7 7 6 6 2 -6 -9 1 6 5 6 6 7 8 8 7 5 5 5 5 5 5 5 5 5 6 5 5 4 4 5 5 6 6 6 5 6 7 7 7 7 7 7 7 6 5 6 6 7 6 5 7 9 11 11 10 9 7 6 6 6 5 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 8 8 7 7 8 8 8 9 8 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 5 5 5 4 5 4 4 3 4 5 4 4 4 5 5 5 4 4 3 4 4 4 3 3 3 3 4 4 4 4 4 5 6 8 9 11 11 11 11 11 12 14 15 16 14 12 11 11 11 10 8 5 4 5 5 6 6 6 5 4 4 5 5 5 5 6 6 6 5 5 4 4 4 5 5 5 4 4 4 4 4 3 3 4 4 5 6 6 7 6 5 4 4 3 4 4 3 3 3 4 5 5 6 6 5 5 6 6 6 5 4 5 9 11 8 4 1 2 13 26 23 13 9 8 8 10 16 15 9 6 6 5 4 3 3 4 5 5 5 8 17 23 18 11 11 10 10 13 13 13 13 10 7 2 0 5 12 12 1 -0 3 5 2 -0 3 4 -1 7 18 9 5 10 3 -1 2 4 5 5 4 6 2 -0 3 -3 -10 -8 3 5 3 4 5 3 4 8 10 9 7 8 11 16 12 6 4 13 10 2 9 8 6 7 7 12 17 17 9 3 6 14 18 17 11 9 8 5 4 6 6 3 3 6 8 7 5 6 11 19 18 9 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 3 4 5 5 6 6 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 4 5 6 6 6 6 6 6 5 4 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 3 2 2 2 3 4 5 7 7 6 5 3 2 -0 -4 -5 -5 -2 4 7 7 6 6 6 5 -1 -4 3 6 5 5 6 8 8 8 6 5 5 5 5 5 6 6 6 6 6 6 6 4 1 2 6 6 6 6 6 7 7 7 7 7 7 6 6 5 5 6 7 7 6 5 6 7 8 8 8 8 8 8 8 7 6 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 7 7 6 5 5 5 5 5 5 5 6 5 5 5 6 6 6 7 8 8 8 8 8 8 8 9 9 8 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 5 5 5 4 5 6 7 7 7 7 7 6 5 5 4 3 3 3 3 3 3 3 4 4 3 3 2 3 3 4 6 8 9 9 9 8 8 10 13 14 13 12 11 11 12 12 10 7 5 5 7 8 8 7 5 4 4 4 5 5 6 6 6 6 5 5 5 5 4 4 5 5 4 4 3 4 4 4 3 3 4 5 6 6 6 6 5 5 5 5 5 5 4 3 3 3 4 5 6 6 6 6 6 6 6 5 5 8 11 11 6 2 1 7 22 31 23 13 8 4 4 4 4 -5 -4 0 3 4 2 2 2 3 4 4 5 10 18 20 13 10 9 7 8 12 14 17 18 13 10 7 0 2 8 11 1 -2 8 14 4 -2 2 3 5 9 9 1 7 8 3 2 3 5 7 7 6 5 1 -1 5 4 -0 1 3 7 9 9 10 12 12 12 13 12 9 5 8 19 21 13 3 4 7 9 14 12 8 10 10 14 16 10 1 -0 9 16 19 17 12 10 8 5 4 6 5 2 3 6 7 6 5 6 11 20 20 10 4 4 5 6 6 5 5 4 4 4 4 4 4 4 3 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 4 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 4 5 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 4 4 3 2 3 3 4 5 7 8 7 5 2 1 0 -1 -2 0 3 5 7 7 6 6 7 6 4 1 3 6 6 6 7 8 8 7 6 5 5 5 6 5 5 5 6 6 6 7 8 8 4 2 5 7 7 7 6 6 6 7 7 6 6 6 5 5 5 5 6 7 6 7 6 6 6 6 7 7 9 9 9 8 7 6 6 5 6 6 7 8 7 5 4 5 5 5 5 6 6 6 6 5 5 6 6 5 6 5 5 4 4 5 6 6 6 7 8 9 9 9 9 8 8 9 10 9 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 9 7 5 5 6 6 6 6 6 5 5 6 6 7 8 8 8 8 7 6 6 5 4 3 3 3 3 3 3 3 4 4 3 2 2 2 2 3 4 5 6 5 4 4 5 7 9 10 10 10 11 12 13 11 8 6 7 9 11 10 7 4 3 4 4 4 5 6 7 7 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 4 5 6 6 6 6 5 5 6 7 8 7 4 2 2 3 4 5 6 6 6 6 7 6 6 6 8 10 11 8 4 2 6 21 36 35 20 9 3 -3 -2 -4 -9 -10 -5 1 2 2 0 1 2 3 3 4 4 8 15 16 11 9 7 5 5 7 10 14 18 14 11 9 5 3 5 12 7 1 8 10 7 2 3 5 11 13 2 -4 4 4 3 4 5 7 9 7 7 5 3 3 5 5 4 6 8 11 12 8 10 14 16 12 10 11 11 5 8 16 15 7 -0 -4 4 10 7 5 8 13 15 14 11 3 -1 6 12 12 15 14 11 10 8 5 5 6 4 3 4 6 7 5 5 7 14 21 20 10 4 4 4 6 6 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 4 3 4 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 4 5 5 5 5 4 4 3 3 3 3 4 5 8 9 7 4 2 1 3 4 5 6 7 7 7 7 7 6 6 6 8 -0 -4 5 7 7 8 8 8 7 5 5 5 6 6 5 5 5 5 6 6 7 8 11 10 6 5 7 7 6 6 6 6 6 6 5 5 5 5 5 4 5 5 6 7 7 7 7 6 6 6 6 7 9 9 9 8 7 6 6 6 7 9 9 8 6 5 5 5 5 6 6 6 6 6 6 5 6 6 6 6 6 5 4 4 5 5 5 5 6 7 9 10 10 9 8 8 8 9 9 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 8 6 6 6 6 6 6 5 5 5 5 5 6 6 7 8 8 8 8 7 6 4 3 3 3 3 3 3 3 4 4 4 4 3 3 2 3 3 3 4 3 3 3 3 3 4 5 6 7 9 10 12 12 9 8 9 12 13 10 5 3 3 3 3 4 4 5 7 7 7 6 6 6 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 7 9 10 8 5 3 2 3 4 5 5 5 5 6 7 6 7 8 10 11 9 6 6 8 18 33 41 29 12 4 -2 -8 -9 -13 -14 -6 1 3 2 -0 -1 0 2 4 5 5 5 7 10 13 13 10 8 9 8 6 5 8 11 10 10 11 11 8 12 11 9 10 7 -0 1 4 5 10 12 9 1 5 6 1 7 7 6 8 7 6 5 4 3 5 7 6 6 8 11 13 10 7 11 14 16 7 3 7 7 6 9 14 14 6 5 5 8 10 3 0 5 10 10 15 11 1 5 17 14 8 12 12 10 9 7 6 5 5 5 5 5 6 6 6 6 9 18 23 16 7 4 4 5 6 6 6 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 4 5 4 3 3 4 5 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 5 5 4 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 6 9 9 6 3 2 2 4 6 6 7 8 7 7 6 7 6 6 6 9 7 2 5 7 7 8 9 8 7 5 4 4 5 6 5 5 5 5 6 6 6 7 8 5 1 5 7 6 6 6 6 6 6 6 5 5 4 5 5 5 4 4 5 6 7 7 7 7 7 6 6 6 7 8 9 9 8 7 7 7 8 10 10 8 7 6 6 5 6 6 6 6 6 6 6 7 7 7 7 7 7 6 5 4 4 5 5 5 5 6 8 9 10 9 8 8 7 7 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 8 6 6 5 5 5 4 4 3 3 4 4 5 6 6 7 8 8 8 7 7 6 5 5 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 3 3 4 3 3 2 1 1 2 3 6 7 9 10 10 11 11 12 12 8 4 3 3 2 2 3 4 5 6 7 8 7 6 5 5 4 5 5 5 5 4 4 4 3 4 4 4 4 4 4 5 6 5 5 6 8 10 11 8 4 3 3 3 4 5 5 5 5 6 6 7 8 9 11 10 8 9 13 17 23 28 30 21 9 3 -3 -6 -12 -16 -10 -1 3 2 0 -1 -1 0 2 5 6 6 6 6 8 13 16 14 12 15 14 9 4 6 8 7 9 14 14 11 13 5 9 10 8 3 -0 1 6 12 8 3 9 16 9 5 11 10 6 6 5 5 4 4 4 6 9 8 7 10 15 9 7 13 15 12 9 1 -1 3 5 5 9 12 9 9 14 9 3 7 7 7 5 6 10 12 3 -1 14 25 17 8 10 12 10 8 7 7 7 6 6 6 6 5 6 6 7 13 23 22 10 5 4 4 5 6 6 6 6 5 5 5 4 4 4 4 3 4 4 3 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 3 4 3 2 3 4 4 4 4 4 5 5 5 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 5 6 8 10 9 5 2 0 0 2 4 6 6 6 7 7 7 7 6 6 7 8 6 4 5 6 7 8 9 8 6 4 3 3 4 4 4 5 5 6 6 6 6 7 7 5 -3 1 6 6 5 5 6 7 7 7 6 6 6 5 6 5 5 5 5 5 5 7 7 7 7 6 6 6 7 8 9 9 9 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 5 5 5 6 6 6 6 7 8 9 10 9 8 8 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 5 5 5 4 4 4 4 3 3 4 5 5 5 6 7 8 8 8 8 7 6 6 5 5 5 4 5 6 7 7 9 10 11 11 9 7 6 5 4 4 3 3 2 2 1 1 1 2 4 6 8 9 10 10 11 10 7 5 3 3 2 2 3 4 4 5 7 7 7 6 5 4 5 5 5 6 5 5 4 3 3 3 3 4 4 4 4 5 5 4 5 6 7 8 9 7 3 2 3 3 4 5 6 6 6 6 6 7 9 10 10 9 12 15 16 18 19 17 14 11 9 8 5 1 -9 -10 -3 1 0 -0 -0 0 1 2 3 6 7 7 7 7 10 17 19 14 12 15 16 11 5 5 6 5 7 13 11 10 6 5 10 5 13 12 1 0 6 8 2 4 15 18 9 10 9 9 5 4 5 4 6 8 7 7 10 8 4 6 11 -0 1 10 8 14 8 -2 -2 1 5 6 9 12 8 4 4 1 3 6 11 12 5 3 21 12 -3 2 21 25 15 9 10 12 11 9 9 9 8 7 6 5 5 5 6 6 9 17 25 17 7 5 4 5 6 7 6 6 6 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 5 6 5 5 5 4 4 3 3 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 5 5 5 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 6 6 6 6 6 6 5 6 6 6 5 5 4 4 5 5 5 5 5 4 4 4 6 8 11 12 9 4 -0 -4 -7 -4 2 5 5 6 6 7 7 7 7 7 7 8 3 -3 2 6 7 8 9 7 4 3 3 0 -2 0 1 1 2 4 6 6 6 7 8 11 6 1 6 6 5 5 6 7 7 7 7 7 7 7 6 6 6 5 5 5 5 6 7 6 7 7 7 7 6 8 9 10 9 9 9 10 10 9 8 8 7 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 8 9 10 10 9 9 8 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 6 7 8 8 8 7 7 7 6 5 5 6 6 7 7 8 10 12 13 12 10 8 7 6 6 5 5 5 4 3 3 2 1 1 2 3 5 7 8 8 8 8 7 5 4 3 3 3 4 5 5 5 6 7 7 6 5 4 4 5 5 6 6 6 5 4 3 3 3 4 4 4 4 4 4 4 5 5 6 6 5 4 3 2 3 4 4 5 7 7 6 7 8 9 10 11 10 13 17 14 9 13 21 19 9 6 12 16 13 4 -7 -6 -3 -2 -1 -0 1 2 2 3 5 7 8 9 10 12 17 22 19 12 10 13 16 14 8 3 1 2 6 8 8 9 7 12 6 7 12 8 -1 5 11 7 -1 4 8 9 10 11 7 6 6 5 4 4 8 10 9 8 9 7 2 1 3 -3 -1 1 -0 17 11 3 -0 3 8 10 9 10 7 -0 -1 3 12 14 13 9 3 1 15 10 6 17 24 19 11 10 11 11 10 10 10 9 7 7 6 4 4 5 5 6 11 21 23 13 5 5 5 5 6 7 7 6 6 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 6 5 5 5 4 4 3 3 3 3 3 3 3 4 4 5 5 4 3 3 3 4 4 5 6 5 5 5 5 4 3 3 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 6 6 6 6 5 6 6 7 7 6 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 6 8 11 14 13 8 2 -2 -7 -9 -3 3 4 5 6 6 7 8 8 7 6 7 9 5 -2 -1 5 7 8 9 7 5 5 6 5 0 -3 -3 -3 -3 -3 1 6 6 7 6 9 12 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 7 8 9 8 7 8 9 9 9 10 11 10 10 9 8 7 7 7 7 8 7 7 8 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 9 10 10 10 9 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 7 6 6 5 6 6 6 8 11 12 10 7 6 6 5 4 5 5 6 8 8 7 7 6 6 6 6 7 7 7 8 8 10 11 10 9 7 7 7 8 8 8 8 7 7 7 8 6 4 3 2 3 4 5 6 6 6 7 6 5 4 4 3 4 5 6 6 5 5 7 8 7 5 3 4 5 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 4 4 4 5 6 6 7 7 9 12 14 14 11 12 18 17 7 1 9 25 27 15 7 10 11 4 -7 -11 -8 -5 -3 -2 0 2 3 4 5 7 7 9 16 21 22 23 20 14 11 11 11 14 15 10 5 2 1 3 6 7 3 1 2 -0 6 2 -3 -2 10 16 7 -2 -0 2 5 11 10 7 4 5 6 4 5 9 10 10 10 10 9 4 1 3 2 5 3 -0 6 -2 2 5 10 16 12 7 2 -2 3 11 13 13 16 15 9 4 8 5 4 14 23 21 12 8 10 11 9 9 10 9 8 6 6 7 5 4 5 5 6 11 21 22 11 4 6 7 6 6 7 7 6 6 5 5 5 5 4 4 4 3 3 4 4 4 4 3 3 4 4 4 5 5 4 4 4 4 5 5 6 5 6 5 4 4 3 3 3 3 3 3 4 4 5 6 6 5 4 3 3 4 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 6 6 6 6 6 5 6 7 7 7 6 5 5 6 6 5 4 5 5 5 5 5 5 5 4 5 6 8 11 15 16 12 6 1 -2 -1 0 3 5 4 5 5 7 8 9 11 9 6 7 9 8 6 5 6 7 8 8 7 6 7 10 13 11 6 4 4 3 2 4 5 7 7 8 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 7 9 9 7 7 8 9 9 10 10 11 11 11 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 10 10 9 8 7 7 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 16 13 11 11 9 8 6 4 5 9 18 23 19 11 7 6 5 5 5 5 5 6 6 7 6 5 5 6 7 8 9 8 8 7 6 5 5 4 5 5 6 7 7 7 8 9 11 13 14 12 10 7 6 5 5 5 4 5 6 6 6 6 6 5 5 6 6 5 5 6 7 9 10 10 8 6 5 5 5 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 6 10 17 21 21 17 12 9 8 13 11 1 -3 3 9 4 -5 -12 -22 -27 -20 -12 -7 -4 -2 -1 1 3 5 6 7 7 10 14 23 28 20 12 9 8 7 10 13 11 8 6 9 11 8 6 7 11 5 1 4 9 3 -2 0 6 8 8 12 4 0 2 1 -1 -2 3 4 3 4 5 5 7 7 7 12 16 21 20 11 9 12 10 5 3 3 3 13 13 1 3 14 18 11 5 9 16 13 4 -1 2 5 9 7 7 11 21 27 25 15 8 8 10 10 10 10 10 8 5 6 8 7 5 4 5 5 5 10 19 23 13 5 7 8 7 7 6 6 6 5 5 4 5 5 4 5 4 4 3 3 3 3 3 3 4 4 4 4 5 5 4 3 3 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 5 5 5 5 3 2 3 4 5 5 6 6 6 6 5 4 5 4 4 5 4 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 6 6 5 5 5 5 5 4 3 3 3 4 4 5 7 9 12 14 16 15 11 4 -4 -11 -10 -3 2 6 6 5 5 6 6 6 4 6 10 9 8 10 15 13 7 8 9 8 6 5 6 7 7 6 6 8 10 10 9 8 6 6 5 6 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 10 9 7 6 7 8 8 7 7 8 9 10 11 10 11 10 10 10 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 8 9 9 10 10 10 10 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 3 4 8 12 13 13 8 7 9 11 11 13 15 14 9 8 6 10 12 9 6 8 18 23 24 17 8 -0 7 15 23 27 27 22 18 15 11 6 4 2 3 5 9 10 7 6 8 9 9 10 13 18 23 24 24 18 14 13 13 11 9 8 9 10 12 13 11 10 10 13 18 19 15 13 13 15 17 19 20 20 19 18 18 18 17 14 11 10 10 10 8 8 9 11 12 12 13 15 15 14 12 11 11 10 8 8 10 12 12 11 11 13 15 15 14 13 12 14 17 17 15 14 13 12 12 11 9 8 10 12 12 11 9 9 10 10 10 10 9 9 9 10 11 12 12 12 13 13 12 12 11 10 11 11 10 10 11 12 11 10 10 10 11 12 10 9 9 10 10 11 11 10 11 11 11 11 10 9 10 10 12 14 15 14 14 13 13 12 12 11 11 11 11 12 12 11 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 10 12 13 14 12 11 9 10 10 12 12 11 12 12 12 12 12 13 12 12 12 13 13 12 11 9 8 9 12 13 12 12 12 11 11 11 11 12 12 12 11 12 12 11 11 12 13 12 11 11 11 11 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 13 12 10 8 9 9 8 7 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 12 12 11 11 12 12 12 12 12 12 12 13 13 13 14 16 17 16 15 15 16 15 13 11 9 7 7 9 11 14 14 15 14 14 15 15 15 15 15 15 16 16 15 16 18 17 14 13 13 12 11 12 11 11 11 12 14 17 18 18 15 13 13 13 13 13 12 12 12 11 11 12 12 12 12 13 13 13 13 13 12 12 11 12 13 14 13 13 13 14 14 15 15 15 15 14 14 14 15 16 16 17 15 15 14 14 13 12 13 14 14 13 11 10 10 11 12 12 12 13 14 14 13 13 13 13 13 13 13 14 14 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan -5 -2 6 13 15 11 12 7 9 15 28 23 5 5 8 15 18 17 12 5 7 15 21 24 25 22 17 14 12 5 1 3 7 8 11 12 13 11 11 12 12 11 11 14 15 14 14 15 12 11 11 11 10 8 9 10 11 13 13 12 11 10 12 17 20 21 18 17 16 15 16 19 22 21 17 15 17 18 15 12 9 8 7 6 7 9 10 11 12 13 13 15 16 14 14 13 12 11 11 11 11 11 12 12 13 14 16 17 18 19 19 19 17 15 14 12 11 11 10 10 9 10 11 10 10 9 9 10 10 9 10 10 10 10 11 11 11 10 11 13 13 12 11 10 8 9 10 11 11 11 11 12 12 11 10 11 11 11 10 10 9 10 10 10 10 11 11 11 11 11 10 8 7 8 11 15 16 15 14 13 13 13 12 12 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 11 11 9 9 11 13 13 13 12 10 9 8 10 12 12 12 11 10 9 11 13 12 11 11 12 13 14 13 11 9 8 10 12 13 14 14 13 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 11 11 10 10 10 11 11 11 11 11 10 11 11 12 12 12 12 11 11 11 11 11 11 10 9 7 6 11 13 13 12 11 11 11 11 10 10 11 12 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 13 12 12 12 12 12 11 11 12 12 12 12 12 12 11 12 12 12 13 12 12 13 13 13 14 13 14 15 16 17 18 17 14 11 9 6 7 8 10 12 13 14 15 15 13 14 15 15 15 15 15 15 15 17 17 18 18 15 13 12 12 12 12 12 11 12 11 12 12 13 13 12 12 11 12 13 13 13 12 13 13 12 12 12 12 11 12 12 13 13 13 12 11 12 12 13 13 14 14 14 14 15 15 15 14 14 15 14 14 15 16 16 16 14 14 13 14 14 14 14 14 14 12 11 11 11 12 12 12 12 13 13 13 13 13 14 13 13 12 13 13 13 13 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 16 12 18 26 17 8 6 7 4 3 0 1 4 16 21 23 20 17 13 9 10 8 4 6 9 13 15 17 17 15 15 12 11 9 7 7 8 7 2 2 4 4 6 8 8 7 8 12 13 13 13 13 11 10 10 12 17 21 19 14 13 11 11 9 10 13 12 10 9 13 15 15 12 8 5 6 8 8 8 9 11 13 13 14 15 18 18 18 18 16 14 12 10 9 9 9 10 10 11 13 16 19 21 21 19 16 14 13 11 10 10 10 10 11 11 10 9 8 8 10 13 11 10 11 10 10 10 10 11 9 8 10 12 12 11 10 9 9 9 11 11 10 10 11 11 11 11 11 11 11 12 12 11 10 10 11 10 10 10 11 11 12 12 11 9 7 6 8 10 13 15 16 15 14 13 13 13 12 11 12 12 12 12 13 12 12 11 11 11 10 11 11 10 11 11 12 12 12 12 12 11 11 11 12 12 13 13 12 10 9 9 12 13 13 12 10 9 11 12 12 10 11 11 11 14 16 14 11 9 8 9 11 13 13 13 13 12 11 12 12 12 12 12 13 13 12 12 11 11 11 11 11 11 12 11 12 12 11 12 11 11 11 11 11 11 11 11 12 12 11 12 13 12 12 12 12 12 11 10 8 8 8 9 10 12 13 13 13 12 11 11 11 10 10 10 10 10 11 12 12 11 12 12 12 13 13 13 13 12 12 12 13 13 12 13 13 14 13 13 13 13 13 12 12 12 11 11 12 12 12 12 12 12 12 12 13 13 13 13 14 14 13 13 13 14 16 17 18 18 17 14 10 8 9 12 14 14 14 14 14 15 14 13 14 15 14 15 15 14 15 15 15 16 17 15 14 13 12 12 12 12 12 11 11 12 12 12 12 12 12 12 13 12 12 13 13 12 12 13 12 12 12 12 12 13 13 13 14 13 12 12 13 14 14 14 14 14 14 14 15 15 14 13 13 13 13 14 15 17 17 16 14 14 13 14 14 15 15 15 13 12 11 11 11 12 12 13 13 14 13 13 12 13 13 13 13 13 14 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 4 5 6 10 17 23 22 19 13 9 7 5 5 5 7 12 14 14 16 17 16 12 12 11 11 7 3 1 0 1 1 1 1 4 5 7 8 9 12 14 13 13 13 14 13 12 12 13 17 18 14 9 7 6 5 5 5 7 8 9 9 11 14 16 14 10 7 7 9 10 11 12 14 16 17 16 16 18 19 20 20 18 16 13 12 12 12 10 7 5 7 9 11 15 19 18 15 13 11 11 11 11 10 10 11 11 11 11 10 9 9 12 14 13 11 10 10 10 10 11 11 9 8 9 9 10 10 10 9 8 9 10 10 9 10 10 11 11 11 12 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 12 12 10 7 7 7 9 12 17 19 15 13 12 12 12 12 12 12 12 12 13 12 12 12 12 11 11 11 11 10 9 10 11 12 12 12 13 13 13 12 12 11 11 12 12 11 10 10 11 12 12 11 11 11 12 12 12 11 11 11 11 12 14 14 12 10 8 8 9 10 12 12 12 11 11 11 12 12 12 13 13 13 13 12 12 12 12 13 12 11 11 11 12 12 12 12 11 12 12 11 11 11 12 12 12 13 13 12 13 13 13 13 12 10 10 10 10 9 10 11 12 13 14 14 14 13 13 13 12 11 11 10 10 10 11 11 11 12 12 13 13 13 13 13 13 12 11 12 13 12 12 12 13 13 14 13 12 13 13 13 12 12 12 11 11 12 12 12 12 12 12 13 13 13 13 13 14 13 13 13 13 15 17 18 17 15 15 14 12 11 12 13 15 14 13 14 13 14 13 13 14 14 15 14 14 15 14 13 14 16 17 16 14 12 12 12 12 11 12 12 11 12 12 11 11 11 12 12 13 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 14 13 14 15 16 15 14 14 14 14 15 14 14 13 12 13 13 14 15 16 16 15 15 14 13 12 12 13 14 15 13 12 12 12 12 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 7 7 7 10 11 13 14 15 16 15 14 12 10 11 11 13 11 7 4 5 7 9 12 13 13 13 15 16 17 17 15 15 15 16 16 16 15 14 16 15 9 7 6 6 5 4 4 5 7 8 10 11 14 16 16 15 13 10 11 15 17 18 19 19 18 15 12 13 17 19 20 19 16 16 16 16 15 13 11 10 9 10 10 13 17 15 10 9 9 9 10 11 10 10 10 11 11 11 11 11 11 13 13 12 11 11 10 10 10 11 10 10 9 8 9 10 10 11 10 9 10 10 10 10 9 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 12 12 13 12 11 9 8 7 9 15 19 17 15 13 12 11 11 12 12 12 12 12 12 13 13 13 13 13 12 11 10 8 7 9 11 11 10 12 13 13 13 14 12 11 10 11 11 11 11 11 11 12 10 10 10 11 11 12 12 11 11 11 11 12 13 12 11 10 9 9 9 9 11 11 11 11 10 11 12 13 14 14 14 14 13 14 13 14 14 13 12 11 12 12 11 11 12 12 12 12 12 12 12 13 14 14 13 13 13 14 14 13 13 13 11 10 12 14 14 13 12 12 12 14 14 14 14 14 14 13 12 12 11 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 12 12 13 13 12 12 12 12 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 14 13 13 12 13 15 16 16 13 12 12 12 11 12 12 13 14 13 13 13 13 13 14 13 13 14 13 14 14 14 12 13 15 17 19 18 15 13 12 12 12 12 12 12 12 11 11 11 10 11 12 12 11 11 11 11 11 11 11 12 13 14 14 14 14 14 14 14 14 14 13 14 15 15 15 14 14 15 15 14 14 13 13 13 12 14 14 14 14 14 13 13 13 10 9 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 37 46 50 52 52 46 37 30 30 34 38 41 37 25 17 16 18 23 28 31 31 26 24 26 28 32 34 29 23 18 16 15 13 12 12 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 2 2 2 3 3 2 3 3 2 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 1 5 10 14 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 13 28 47 65 79 86 88 88 93 101 106 99 89 87 93 102 114 131 143 146 143 138 132 121 106 91 77 60 44 38 37 36 35 31 26 20 12 4 3 2 1 1 4 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 12 13 20 22 6 0 1 12 18 10 12 19 26 52 89 117 127 126 123 124 130 132 127 127 137 132 117 111 120 132 141 146 147 145 142 141 144 148 156 155 155 159 158 155 153 151 150 140 130 130 134 139 140 142 148 153 157 163 163 154 140 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 27 36 40 42 43 42 38 30 29 33 35 42 41 32 22 17 20 27 31 33 34 32 28 26 26 28 29 27 23 18 15 13 13 13 11 6 5 5 5 5 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 2 2 2 2 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 2 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 1 6 9 15 27 46 59 63 61 62 72 84 92 88 77 77 85 93 102 113 123 131 136 137 136 130 116 95 77 58 44 41 41 42 42 40 37 31 24 16 12 8 2 0 2 7 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 12 2 2 5 16 22 7 2 5 9 31 60 100 128 128 121 121 129 138 143 142 141 138 134 136 137 138 135 134 136 137 135 134 138 140 146 148 148 148 149 151 155 156 150 135 124 119 124 129 130 131 135 144 156 167 174 171 157 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 12 15 23 32 37 39 39 38 33 30 30 29 29 33 32 25 18 20 27 29 27 22 21 18 17 16 16 17 19 19 18 16 16 16 16 13 8 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 5 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 9 9 11 18 33 36 31 37 53 71 80 76 66 66 75 84 91 98 102 108 114 121 127 129 121 102 78 55 41 40 41 42 44 45 42 37 32 27 22 16 1 0 0 0 3 4 2 1 2 0 0 0 0 0 0 0 0 2 10 7 5 3 1 0 0 2 2 14 18 20 19 8 1 2 10 39 68 101 135 142 133 129 132 138 144 145 138 132 132 137 138 138 136 135 133 131 128 124 120 118 117 121 124 126 128 135 140 148 150 142 128 119 120 125 126 124 123 128 138 152 173 184 173 162 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 15 26 34 36 36 35 33 31 28 24 24 27 28 24 20 19 23 24 22 16 12 10 8 7 8 9 13 17 20 21 21 22 19 14 10 6 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 2 1 2 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 7 5 7 9 8 8 14 35 63 72 69 60 57 64 73 79 83 85 86 90 97 105 112 110 99 77 51 40 38 37 37 37 38 37 32 29 28 24 18 2 0 0 0 0 0 0 6 7 6 7 4 1 0 0 0 0 4 8 5 6 4 1 0 0 0 5 16 19 13 7 3 6 24 61 99 117 124 142 150 145 139 136 132 133 138 134 126 122 124 132 136 139 139 137 133 131 127 121 116 112 110 108 111 117 122 128 137 149 152 141 126 120 123 125 122 118 120 125 137 164 189 184 163 nan nan nan nan nan nan nan nan nan nan 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 20 27 30 28 28 35 34 30 26 23 22 21 19 17 17 19 20 20 16 12 9 7 6 6 10 14 18 22 24 25 26 19 14 10 6 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 2 2 2 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 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 1 0 1 1 0 2 9 31 59 67 62 51 45 53 60 65 67 67 68 69 73 79 83 85 80 52 45 41 37 32 30 27 23 19 15 16 16 12 9 2 0 0 0 0 0 0 6 8 8 9 9 3 0 0 0 0 1 1 0 0 0 0 0 0 0 0 6 18 26 22 8 14 61 106 140 143 134 139 147 149 150 143 130 120 125 129 126 122 119 126 130 132 134 134 133 132 132 133 133 130 123 114 108 110 115 118 125 140 154 156 142 128 124 124 122 121 122 124 129 154 192 199 168 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 nan nan nan nan nan 9 15 19 20 21 20 19 22 34 34 31 30 27 21 17 16 16 16 17 19 19 18 15 11 9 8 10 15 18 19 21 22 24 23 18 14 10 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 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 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 2 12 35 60 62 46 25 19 32 46 48 49 47 46 43 50 52 60 59 54 45 42 39 35 30 26 22 8 1 0 2 0 1 2 0 0 0 0 0 0 0 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 4 7 10 25 45 46 34 30 70 115 144 143 133 131 134 140 151 150 136 120 117 123 126 126 125 128 130 131 131 131 130 129 131 137 143 144 140 130 121 116 113 112 114 124 141 156 159 147 132 125 123 121 123 122 119 139 188 206 187 nan nan nan nan nan nan nan nan nan 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 7 11 15 16 15 13 12 14 18 21 25 29 30 26 20 19 18 17 17 18 17 17 18 16 13 14 18 20 19 17 16 17 19 19 17 15 12 9 7 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 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 0 0 2 4 7 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 35 57 56 32 15 11 12 20 16 28 26 26 22 28 25 33 31 32 31 28 29 27 25 22 16 5 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 25 26 37 49 46 44 43 70 100 128 140 135 126 126 131 146 153 143 126 119 122 125 126 127 129 131 132 131 130 128 126 127 132 139 143 140 134 127 124 124 120 115 114 125 146 163 161 143 130 124 119 120 118 117 133 169 198 202 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
nan nan nan nan nan nan 6 5 5 7 10 11 9 6 8 12 13 16 19 23 23 21 23 23 20 17 16 13 15 17 17 16 18 21 21 19 16 14 15 16 17 17 17 16 14 11 9 7 5 5 6 6 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 32 47 46 22 14 4 5 9 13 14 15 17 16 16 13 14 11 15 14 10 12 13 11 11 11 8 6 4 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 16 37 43 49 47 41 39 43 54 72 104 128 132 127 125 130 140 148 145 135 128 127 126 125 127 129 131 133 132 131 128 126 124 124 128 132 128 125 122 125 131 134 130 119 114 128 150 159 152 140 130 122 118 117 119 131 155 184 203 208 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 5 2 2 5 7 6 5 6 7 8 9 10 11 13 16 23 27 24 18 13 10 12 14 13 13 14 16 18 18 16 15 16 17 18 18 16 14 14 13 12 10 8 7 7 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 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 3 11 17 19 15 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 18 29 31 21 17 8 5 5 6 8 9 11 14 12 10 9 7 6 4 2 2 4 3 6 10 8 2 3 8 7 2 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 2 17 34 44 45 41 38 38 43 52 67 88 106 116 120 126 132 139 145 148 144 137 130 125 124 126 127 129 133 133 131 128 126 124 121 119 120 117 114 114 116 124 134 142 134 118 115 130 147 155 149 137 128 122 120 124 134 150 170 192 202 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 nan nan nan nan nan 6 4 1 1 2 3 4 3 4 5 5 4 8 7 6 12 20 22 20 16 13 10 12 13 10 10 11 13 16 17 18 17 17 17 16 15 13 10 10 10 10 8 8 8 8 7 6 5 4 4 4 4 4 4 3 2 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 19 21 19 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 9 16 19 20 17 12 6 2 2 2 4 6 4 4 3 1 2 1 0 0 1 1 4 8 7 3 2 3 4 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 6 14 29 40 40 36 35 36 42 54 68 82 92 95 104 120 136 144 149 156 158 148 139 128 125 125 124 126 128 129 127 123 120 118 116 114 113 112 111 112 115 119 128 144 153 137 116 116 132 148 152 147 139 128 124 128 138 150 163 182 193 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 1 1 1 0 0 1 1 1 1 3 4 5 11 4 4 12 17 13 11 12 12 11 13 14 13 12 13 15 16 15 16 17 16 15 13 10 9 8 7 7 7 6 6 8 9 8 6 5 5 5 5 4 4 4 3 3 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 4 10 14 16 20 20 15 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 15 17 14 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 5 6 8 12 24 35 36 32 31 35 44 58 75 87 89 87 94 114 134 145 150 156 163 160 151 141 132 129 128 126 125 124 121 118 115 113 112 112 111 109 108 109 112 118 125 142 159 157 137 121 123 134 144 149 145 135 127 126 136 149 160 176 185 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 nan nan 0 0 0 0 0 0 0 0 0 0 0 2 6 9 7 6 12 15 11 8 8 9 10 13 16 17 16 17 18 16 13 13 16 18 16 13 11 9 8 8 8 8 8 7 7 8 9 8 6 5 5 5 5 4 4 4 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 3 3 3 3 2 2 2 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 3 7 7 8 16 20 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 0 0 0 0 0 1 2 1 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 2 4 3 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 1 3 4 4 4 6 6 7 10 18 28 30 26 26 34 46 63 82 93 91 85 88 105 127 137 141 141 141 137 138 139 136 133 132 132 129 125 122 119 117 116 116 115 112 109 107 106 106 110 119 138 159 166 153 133 126 129 133 140 144 142 141 139 138 144 157 170 178 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 11 15 15 9 4 5 8 10 14 16 16 16 17 18 14 10 10 14 17 18 16 14 11 8 9 10 9 9 9 8 7 8 9 8 6 5 5 5 4 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 2 1 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 1 0 0 1 4 5 8 15 18 14 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 2 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 1 0 0 0 0 0 0 0 0 1 2 4 7 9 10 9 5 4 4 4 5 5 6 6 5 7 12 25 23 16 15 27 44 62 84 95 92 85 85 92 111 126 130 128 119 107 106 115 120 122 123 124 124 120 116 115 116 117 117 115 113 110 110 109 103 106 110 133 158 167 156 144 139 137 135 136 141 148 158 168 161 145 147 162 174 176 nan nan nan nan nan nan 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 1 6 12 18 20 15 5 1 2 6 10 11 12 13 15 16 15 11 7 6 8 12 14 16 16 14 11 9 9 9 9 9 8 7 6 8 9 8 6 4 4 4 4 4 4 3 3 2 2 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 1 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 4 7 11 14 15 12 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 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 2 9 9 5 1 0 0 0 0 0 0 2 5 8 10 14 22 25 20 12 6 3 4 5 6 5 5 7 19 32 27 12 5 17 33 53 72 82 84 82 81 84 94 109 122 126 117 104 96 97 100 102 103 104 103 102 98 97 104 107 98 104 110 113 115 115 109 106 106 126 149 158 154 151 153 153 150 145 146 149 162 182 183 158 144 155 170 174 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 1 2 2 1 0 0 0 0 1 8 18 22 20 11 4 1 1 3 6 7 7 9 12 14 13 10 6 3 3 5 8 12 14 14 12 10 9 8 8 8 8 6 6 6 8 9 7 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 2 5 7 10 12 12 10 7 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 4 14 16 12 4 0 0 0 0 2 3 3 6 7 8 14 27 35 37 29 16 6 4 5 6 5 4 5 13 31 35 21 8 10 23 37 51 62 69 71 73 76 83 94 112 127 124 114 106 101 97 94 94 94 92 90 89 90 99 105 95 97 108 115 119 120 116 112 110 120 139 149 148 152 163 172 174 171 162 156 159 178 190 172 151 155 167 176 nan nan nan nan nan 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 2 6 8 5 2 0 0 0 1 6 15 19 16 11 9 4 1 0 0 2 5 8 11 13 13 11 7 3 1 3 7 10 11 11 11 10 8 8 9 9 7 6 6 5 6 7 7 6 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 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 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 4 3 1 0 0 0 0 1 3 5 6 8 9 10 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 9 13 11 4 0 0 1 3 5 6 6 7 5 3 4 14 24 33 38 31 15 7 6 6 6 4 4 5 16 27 23 12 9 17 28 35 44 52 56 61 67 73 81 98 118 124 120 114 109 104 98 94 95 92 89 90 96 105 113 115 116 116 118 125 132 133 128 119 120 134 142 144 154 169 180 180 178 172 168 163 172 196 184 162 162 166 176 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 3 8 10 8 4 1 0 0 1 2 6 10 12 14 15 9 2 0 0 3 8 10 11 11 12 12 8 3 2 4 7 9 9 8 9 8 7 6 8 8 7 6 6 5 5 5 6 7 7 6 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 3 6 7 6 4 4 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 3 4 2 0 0 0 1 2 4 5 6 8 8 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 4 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 2 5 4 1 0 1 4 7 8 8 8 6 4 1 0 2 6 13 21 24 18 11 7 7 6 5 3 3 5 11 13 11 9 12 20 27 34 42 49 54 59 65 74 83 97 107 111 112 111 110 106 102 98 94 87 90 99 108 116 119 119 120 122 128 139 148 146 131 121 131 140 142 154 169 175 160 145 150 161 162 174 192 187 176 172 172 174 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 1 4 6 6 6 4 2 0 0 0 0 1 3 6 11 12 8 2 0 2 7 11 12 11 10 10 10 8 5 3 4 6 6 6 6 6 6 5 4 4 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 5 5 5 5 4 3 3 3 3 2 2 1 1 1 4 5 6 6 5 4 4 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 4 4 1 0 0 0 1 3 4 5 7 8 8 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 12 6 3 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 4 2 0 0 2 3 1 0 1 6 9 9 8 7 6 4 2 0 0 0 2 4 5 7 8 7 6 6 4 2 1 1 3 5 7 7 6 10 20 28 36 49 55 58 62 71 76 81 82 87 95 102 107 106 103 96 91 89 92 103 116 124 122 119 121 123 123 131 150 160 141 121 130 138 138 148 162 162 144 132 138 152 160 172 187 189 185 184 187 189 184 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 nan 0 0 0 0 0 1 2 2 2 2 1 1 2 2 1 0 0 0 2 4 4 3 1 2 5 8 9 10 10 8 7 6 6 5 4 5 5 4 4 4 4 4 4 2 2 3 4 5 6 6 5 5 5 5 5 5 5 6 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 5 3 2 1 2 4 5 5 5 4 4 4 5 5 4 4 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 3 3 0 0 0 0 2 3 3 5 8 9 9 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 10 6 4 3 4 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 1 0 0 2 5 6 2 1 6 9 8 7 7 7 7 6 2 1 0 0 0 0 2 4 6 5 4 2 0 0 0 0 1 2 2 1 2 14 23 32 46 54 58 65 74 78 80 76 74 78 86 92 95 93 88 86 86 92 107 129 138 127 120 125 126 119 108 128 166 157 136 133 134 134 140 152 153 138 131 144 164 171 168 172 183 191 196 204 214 212 nan nan nan 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 3 3 3 2 1 1 3 4 2 0 0 0 2 3 4 5 6 4 3 3 3 4 5 5 5 4 4 3 3 3 3 1 0 1 2 4 4 5 5 5 5 5 5 5 5 6 8 8 6 5 5 5 6 6 6 6 5 5 5 5 5 6 7 8 9 11 13 12 9 6 4 3 4 4 4 4 4 4 4 5 5 5 5 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 2 2 0 0 0 0 1 2 3 5 7 8 8 8 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 7 6 5 4 6 10 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 2 1 0 0 0 0 0 0 0 0 0 1 0 1 4 8 13 12 5 2 6 8 7 7 8 8 10 12 10 5 2 1 0 0 0 2 5 5 3 1 0 0 0 0 0 0 0 0 0 7 21 31 39 48 55 65 77 83 86 82 77 78 80 81 83 84 84 83 87 94 113 139 147 132 125 129 132 124 104 99 129 154 162 147 130 126 133 146 151 138 119 121 138 146 145 150 166 191 206 214 228 229 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 1 1 2 2 2 1 0 0 1 3 3 3 3 4 7 9 6 0 0 1 1 0 1 1 1 1 1 1 1 3 4 5 6 7 8 6 4 3 2 1 0 0 1 2 3 4 4 4 5 5 5 5 5 6 8 10 11 8 6 5 5 5 5 5 5 4 4 4 5 5 6 8 10 12 16 16 14 11 7 5 4 4 4 4 4 4 5 5 6 6 6 6 5 5 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 1 0 0 0 0 2 2 3 6 8 8 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 8 7 6 5 6 11 14 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 3 8 11 10 8 5 2 0 0 0 0 0 0 0 0 2 6 11 14 14 12 9 6 4 3 4 6 7 8 10 20 27 24 15 8 5 4 2 1 4 6 6 5 2 0 0 0 0 0 0 0 0 0 2 16 31 38 43 50 61 74 82 87 88 86 85 83 77 75 76 81 87 93 103 125 146 150 138 133 133 134 133 121 93 88 118 160 161 136 126 130 143 148 141 117 91 86 96 111 130 172 196 208 206 210 213 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 1 1 2 2 3 3 4 4 3 1 0 0 2 2 2 3 6 10 12 10 5 2 3 7 4 1 0 0 0 0 0 0 1 1 2 6 9 9 8 6 3 2 0 0 0 0 0 2 2 3 3 4 5 5 5 5 5 6 10 14 12 8 6 5 4 4 4 4 4 4 4 5 5 5 5 5 7 10 14 16 15 11 7 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 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 1 2 2 4 6 7 8 8 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 4 11 14 14 11 8 6 7 10 14 12 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 12 12 14 12 6 0 0 0 0 0 0 0 1 9 15 19 17 14 11 8 7 4 1 1 4 7 9 12 25 39 40 30 22 16 13 9 7 7 8 9 9 6 1 0 0 0 0 0 0 0 0 0 11 28 38 42 47 56 68 77 81 85 87 88 85 79 73 72 78 86 98 114 135 146 142 136 136 134 132 133 133 116 95 107 143 157 142 137 137 140 142 145 134 93 71 88 120 155 180 180 186 183 181 185 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 5 5 4 3 3 3 3 3 4 5 7 5 5 4 2 1 0 1 6 12 15 14 10 5 5 8 9 5 1 1 1 1 0 0 0 0 0 2 5 7 7 5 2 1 0 0 0 0 0 0 0 0 1 2 5 5 5 5 5 5 7 11 11 9 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 7 12 14 14 11 7 4 4 4 4 4 5 5 5 6 6 6 6 6 7 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 7 7 8 8 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 0 0 0 3 9 14 16 17 16 12 8 8 9 10 11 9 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 2 7 13 17 20 20 17 10 1 0 0 0 0 0 0 5 16 19 19 16 12 9 7 8 6 4 2 5 9 11 14 21 31 37 35 33 37 36 30 20 14 14 20 21 14 6 1 0 0 0 0 0 0 0 1 8 22 38 43 45 53 64 73 74 78 81 87 86 80 73 72 76 85 99 116 133 137 129 124 129 131 128 125 126 132 134 136 144 147 139 140 137 137 135 141 144 128 115 130 157 181 178 154 140 142 156 169 172 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 4 8 8 5 4 3 1 1 2 6 11 13 12 9 7 3 2 2 8 13 17 16 12 8 5 7 10 8 5 3 3 2 2 1 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 4 5 6 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 10 12 12 10 6 4 4 4 4 5 5 5 6 6 6 6 6 6 5 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 1 4 7 8 9 9 10 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 4 6 9 11 12 14 16 17 15 11 8 8 8 9 10 9 8 8 8 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 1 3 9 14 19 20 16 9 1 0 0 0 0 0 0 10 16 19 20 18 14 10 8 11 12 11 10 13 21 24 19 20 21 21 23 24 38 49 49 42 31 26 32 37 30 16 7 2 0 0 0 0 0 0 2 8 20 37 43 42 47 59 71 75 79 79 82 84 80 74 72 75 82 96 115 128 128 120 117 122 126 126 120 116 120 140 158 157 149 137 134 135 135 133 132 136 146 159 174 188 196 179 142 109 104 119 137 151 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 6 8 6 5 4 2 0 1 4 10 14 14 13 11 9 8 9 11 14 17 18 14 11 9 8 9 10 8 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 7 10 10 8 4 4 4 4 5 5 5 5 6 6 6 6 6 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 5 7 9 14 13 12 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 6 7 8 10 12 13 12 11 10 11 13 14 11 8 7 7 7 9 10 10 10 10 10 9 7 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 1 4 4 8 6 3 0 0 0 0 0 0 0 4 8 14 19 21 18 14 12 14 18 19 19 23 30 35 38 29 24 20 17 15 20 34 47 51 47 39 36 38 36 26 15 8 2 0 0 0 0 0 3 12 25 39 44 43 47 55 66 76 82 84 87 87 84 79 76 76 79 92 111 124 123 120 120 122 125 126 122 116 116 130 150 161 158 145 135 134 137 138 133 127 137 160 181 194 201 196 167 128 99 93 103 115 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 1 5 9 11 7 5 5 1 0 1 8 13 14 13 13 13 14 14 14 15 16 17 16 14 13 10 9 9 8 5 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 4 4 4 4 4 6 9 9 6 5 4 5 5 5 4 4 5 5 5 5 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 8 4 3 5 4 7 15 14 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 1 2 2 2 4 6 8 10 10 10 11 12 11 9 7 6 7 8 8 7 6 6 6 7 9 10 10 10 9 9 10 10 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 21 21 19 16 16 19 22 23 24 25 26 25 30 30 29 26 18 13 16 27 45 58 56 45 36 34 33 27 18 7 2 0 0 0 0 3 12 28 43 45 45 46 51 60 70 80 86 89 90 89 86 84 82 83 92 108 121 122 124 128 129 127 124 122 120 120 124 136 152 161 159 146 134 136 143 146 141 139 154 173 187 195 200 190 165 136 114 104 97 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 11 15 16 11 6 5 3 1 2 7 13 12 8 8 11 14 14 14 15 16 16 18 20 22 20 16 12 8 4 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 3 3 3 6 9 8 6 5 6 6 6 4 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 8 2 0 1 1 3 14 14 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 1 2 2 3 2 4 8 11 10 8 6 5 6 8 8 6 4 2 2 2 4 5 6 6 7 7 8 10 11 10 8 6 8 10 11 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 3 5 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 7 19 22 21 17 14 15 17 17 16 14 14 12 14 20 28 32 28 19 10 6 20 45 61 59 45 33 31 32 28 16 7 1 0 0 0 0 6 19 34 43 46 47 49 54 62 71 80 87 90 93 94 93 91 90 98 113 122 124 130 138 137 129 120 118 117 117 118 123 138 154 161 154 137 129 140 157 166 164 164 174 182 185 192 193 188 173 155 140 122 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 18 17 18 20 20 15 9 8 7 6 7 10 13 9 2 2 5 8 9 10 12 13 17 21 26 30 30 27 22 16 9 3 1 1 3 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 8 8 7 7 8 8 8 5 4 4 4 4 4 4 5 5 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 0 0 0 1 3 5 2 1 0 0 0 2 10 13 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 2 3 3 3 2 3 6 12 14 12 6 1 0 2 5 5 3 1 0 0 0 1 3 5 7 8 8 9 10 10 10 8 7 7 9 9 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 5 5 5 4 6 5 1 0 0 0 0 0 0 0 0 2 4 4 2 1 0 0 1 8 18 21 20 15 9 7 8 7 5 3 3 1 3 8 15 25 33 34 25 11 4 14 36 55 59 51 35 28 29 26 15 5 0 0 0 0 2 7 20 34 43 46 48 50 52 60 68 76 85 91 97 101 100 99 104 121 127 128 133 143 144 133 120 113 110 107 106 109 122 142 159 159 141 122 133 154 174 185 184 182 178 175 181 192 197 188 180 177 164 153 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 22 19 18 19 20 16 12 12 16 15 12 11 12 8 1 0 0 1 2 4 6 8 12 16 22 28 32 33 33 28 20 11 6 5 8 11 12 9 6 4 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 1 1 2 5 8 8 7 7 9 8 6 4 4 4 4 3 4 5 5 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 2 8 12 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 3 2 2 3 7 12 14 11 6 2 1 2 3 3 1 0 0 0 0 0 1 2 3 5 8 10 10 10 10 8 8 9 9 7 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 8 9 8 6 6 6 3 0 0 0 0 0 0 0 0 0 1 4 5 6 5 3 2 3 7 17 20 18 13 4 1 1 1 0 0 0 0 0 2 7 16 28 38 41 26 6 2 12 32 57 78 60 35 26 27 24 16 9 3 1 0 0 1 8 20 32 39 44 45 41 46 53 62 71 78 89 99 106 108 113 122 128 130 133 140 143 135 121 112 104 96 94 95 108 134 164 172 151 127 130 145 163 181 190 189 177 164 160 176 190 174 160 162 171 170 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 20 18 16 16 16 14 9 10 17 19 13 11 10 8 4 2 2 2 2 3 2 0 2 9 13 17 21 29 35 37 30 20 12 10 11 13 15 15 13 12 10 11 10 8 5 1 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 1 2 6 8 7 6 7 8 8 6 5 4 4 2 1 3 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 4 3 2 3 4 5 8 9 7 4 2 2 2 3 2 1 1 1 1 0 0 0 1 1 1 3 6 9 11 11 11 11 11 10 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 7 7 6 6 4 1 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 5 5 5 11 15 15 14 10 5 2 0 0 0 0 0 0 0 4 11 18 29 45 42 13 2 2 8 35 80 84 57 32 26 27 26 19 11 5 1 0 0 2 9 16 25 35 39 36 37 36 43 55 64 73 84 98 111 117 120 124 129 132 135 138 133 122 114 106 94 86 87 98 125 165 188 172 143 132 139 149 162 176 185 182 170 156 162 179 166 139 131 158 176 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 15 14 12 11 12 10 4 3 9 13 10 11 12 14 12 10 8 7 6 6 4 1 2 7 10 12 14 22 30 35 35 30 23 17 13 13 14 15 16 16 16 16 16 14 11 7 5 3 2 1 0 0 0 1 4 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 6 5 6 8 8 8 6 4 2 0 1 2 3 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 3 3 3 4 4 4 3 1 0 1 2 2 2 2 1 1 2 1 1 1 1 0 0 0 1 3 8 11 13 14 13 11 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 4 5 5 6 9 12 13 12 6 2 0 0 0 0 0 1 4 8 13 20 34 38 24 14 8 4 18 55 82 78 55 37 30 28 26 21 11 3 0 0 1 4 10 15 23 34 38 37 32 31 36 49 58 66 80 103 118 117 117 123 129 132 132 128 119 115 112 100 88 86 94 116 156 192 186 156 138 136 137 139 148 162 173 175 169 165 176 176 164 149 155 171 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 9 7 8 6 2 0 1 5 10 16 20 22 22 20 16 12 9 10 10 9 12 15 16 17 19 22 26 30 33 34 32 26 18 13 12 13 14 15 16 16 16 16 16 15 15 12 8 3 0 0 0 1 7 15 15 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 2 5 7 5 5 7 8 8 7 5 3 2 1 0 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 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 1 2 2 2 2 3 2 2 2 2 2 1 0 0 0 1 1 1 1 2 2 2 1 1 1 0 0 0 0 0 3 7 10 11 11 10 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 4 4 3 4 8 10 11 7 1 0 0 0 0 0 0 2 4 11 16 23 23 24 27 23 18 18 33 62 83 78 63 48 37 28 23 16 5 0 0 0 0 1 10 16 30 36 35 30 26 24 33 43 51 66 89 114 119 112 114 121 123 125 118 109 109 114 111 99 92 94 108 136 165 171 159 152 145 133 125 125 130 142 154 162 162 166 175 184 191 192 185 183 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 9 9 8 6 6 4 2 1 0 2 7 15 20 23 26 27 25 20 15 16 18 22 24 25 26 26 26 26 27 28 29 32 34 32 27 22 14 11 11 11 13 13 14 14 15 18 20 18 14 8 2 0 0 0 11 25 28 21 12 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 5 6 5 6 7 7 7 6 4 3 2 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 1 1 1 0 0 0 0 0 1 3 5 6 6 7 8 7 5 2 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 1 2 3 4 4 3 3 4 5 7 5 2 3 1 0 0 0 0 0 1 7 14 19 19 18 26 31 31 29 32 46 67 78 78 74 62 47 28 19 9 3 1 0 0 0 5 11 20 25 25 20 16 17 22 30 39 57 77 108 125 115 110 110 106 111 104 98 100 108 115 114 107 101 103 115 132 145 154 163 162 148 131 122 118 120 126 132 137 143 156 176 191 190 178 173 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
21 19 17 12 8 7 6 6 5 1 0 3 8 13 18 22 24 25 23 20 20 22 25 29 32 32 33 32 31 30 29 28 29 31 31 29 23 14 10 8 8 9 10 11 11 14 21 28 28 22 14 7 5 5 7 16 28 34 28 19 12 9 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 5 6 7 7 7 7 6 4 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 2 2 4 4 3 2 1 1 1 1 1 2 1 1 0 0 0 0 0 1 2 3 4 4 4 4 6 7 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 4 4 7 12 10 5 0 0 0 0 0 4 12 17 17 15 18 24 32 40 47 57 58 56 66 82 86 76 56 32 17 9 5 1 0 0 1 4 8 12 14 13 12 12 13 18 25 46 68 100 121 120 114 105 95 91 93 96 98 104 114 124 122 113 105 106 110 118 133 146 151 150 145 137 128 117 111 107 106 110 122 148 169 173 154 145 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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27 23 16 14 16 23 31 35 36 36 37 39 43 46 46 45 46 47 46 46 45 46 48 50 51 52 54 59 64 64 59 53 50 47 42 32 20 16 18 20 22 21 20 18 15 19 33 47 51 51 52 57 59 54 44 36 27 22 22 25 32 37 37 31 23 20 24 32 42 48 49 47 43 44 54 62 62 64 64 64 65 64 58 49 44 46 52 53 49 43 36 32 28 18 6 1 2 8 14 14 10 4 3 5 2 0 0 0 0 0 1 3 4 4 4 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 6 6 6 7 7 8 8 8 8 8 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 5 16 22 29 27 23 16 10 8 7 7 7 7 7 6 7 12 22 20 12 7 7 7 7 7 7 6 6 5 5 4 3 2 1 0 0 0 0 1 6 19 34 45 60 66 69 72 88 109 118 118 112 99 85 77 83 96 106 111 114 112 110 107 105 104 104 106 108 109 109 109 107 106 105 104 104 104 103 102 103 103 102 103 103 100 98 95 93 91 88 84 82 83 85 84 83 82 83 86 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
17 14 12 12 14 17 20 22 21 21 21 22 25 28 32 37 39 38 38 37 37 38 40 43 41 37 38 46 55 62 61 53 49 44 36 25 18 16 20 23 24 22 21 19 15 11 22 38 47 47 47 47 48 41 28 19 12 11 14 24 35 42 42 36 29 24 27 30 33 37 42 47 46 43 45 53 57 58 56 56 56 54 49 44 44 49 57 62 59 50 39 34 31 23 12 6 7 14 19 17 11 6 5 6 5 1 0 1 0 5 8 8 7 6 8 14 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 1 2 5 6 6 6 6 6 6 6 7 8 8 8 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 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 1 8 19 19 26 25 16 10 7 7 7 8 7 7 6 6 6 13 20 18 11 8 7 7 7 6 6 6 6 6 6 6 4 2 1 0 0 0 0 1 6 19 33 39 54 62 65 69 86 108 120 124 124 118 106 93 87 84 86 92 98 101 104 105 105 103 100 99 99 98 100 100 100 100 99 98 98 97 96 94 93 94 94 95 95 94 91 89 88 88 84 78 74 76 80 80 80 80 81 82 81 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
9 11 12 12 14 15 16 17 16 16 15 14 14 16 20 23 25 26 28 29 31 31 33 37 31 19 19 30 43 55 61 57 50 40 30 20 15 15 18 22 24 22 21 20 18 11 12 26 38 40 38 36 35 27 16 11 9 10 19 33 41 40 35 28 23 21 21 21 19 23 30 40 48 48 43 42 44 45 44 43 44 44 42 44 51 61 72 76 69 58 45 38 36 28 18 12 12 17 20 16 9 4 1 2 3 2 2 6 9 10 10 8 6 7 9 12 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 0 1 1 2 6 6 6 6 6 6 6 6 7 8 8 8 8 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 20 20 21 18 12 8 6 7 8 8 7 6 5 5 6 10 12 10 7 6 6 6 6 5 5 6 6 6 9 11 11 10 9 7 5 1 2 2 5 18 29 35 46 56 61 65 77 99 118 126 130 129 122 110 96 83 77 77 79 81 83 89 93 95 93 91 89 88 86 87 89 89 89 88 88 87 87 84 81 80 80 81 82 81 79 79 82 82 80 75 71 71 73 73 72 72 74 75 75 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
7 10 12 11 11 12 13 13 15 16 14 11 9 8 9 12 14 17 20 22 24 23 26 32 29 17 14 25 38 50 59 60 52 38 26 17 14 14 17 20 22 22 22 22 20 16 10 15 26 34 34 33 31 26 18 14 13 18 29 40 41 33 22 16 14 14 14 12 11 17 24 32 44 52 51 44 40 41 42 44 48 49 48 51 60 72 81 82 75 63 50 43 38 30 22 17 16 17 17 12 6 2 0 0 1 2 4 6 6 6 3 2 3 4 5 6 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 1 2 4 6 6 5 6 6 5 6 6 6 7 8 8 8 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 13 20 20 16 11 7 6 6 7 8 8 7 6 5 5 6 8 7 6 4 3 4 4 3 2 4 7 12 17 23 25 24 23 24 23 20 15 9 5 6 13 22 30 38 49 58 61 67 81 106 120 128 131 130 121 110 98 89 81 76 72 68 66 70 74 76 76 74 72 71 72 74 76 77 76 74 74 72 71 68 66 65 67 68 67 65 68 72 73 72 70 70 71 71 70 67 64 64 65 67 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
5 7 7 6 5 5 6 8 10 12 11 7 4 3 4 6 10 13 15 18 20 20 22 26 30 24 20 25 36 45 55 60 55 42 27 17 14 14 16 16 19 22 23 24 22 19 14 11 16 28 37 39 38 34 28 23 25 28 32 34 30 23 15 12 14 17 20 20 18 21 25 29 36 47 57 54 48 49 55 61 65 64 58 56 62 74 86 90 82 69 55 45 39 32 25 21 19 18 15 10 2 0 0 0 0 0 0 0 0 1 0 1 3 3 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 6 5 6 5 5 5 6 6 7 7 8 8 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 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 1 11 20 20 14 8 6 6 6 7 8 7 7 6 6 6 8 11 10 8 4 1 1 0 0 0 3 10 21 32 38 38 35 34 36 36 32 25 16 7 6 8 14 23 32 43 55 60 62 68 80 96 112 123 129 128 124 117 110 101 93 84 72 64 63 64 66 67 65 61 58 60 61 61 64 65 64 63 61 58 55 53 52 53 54 55 55 59 64 66 64 62 65 70 73 73 71 67 63 60 59 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
4 4 3 1 0 0 0 2 4 8 8 5 2 1 1 2 5 9 12 15 19 20 19 19 22 25 24 23 26 30 41 53 57 50 36 24 16 13 14 14 17 22 24 25 24 21 17 13 12 19 36 42 39 36 28 24 25 26 25 22 19 17 18 22 28 34 38 37 34 30 28 27 29 34 42 48 50 59 68 73 72 67 61 58 62 74 86 98 92 77 59 47 39 32 26 24 23 20 16 13 2 0 0 0 0 0 0 0 0 0 2 8 8 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 1 3 5 5 5 5 6 5 5 5 5 6 6 7 7 8 8 8 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 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 9 18 19 12 7 6 6 7 7 8 7 7 6 7 11 18 20 17 13 8 2 0 0 0 0 2 12 27 39 48 50 44 35 37 36 28 19 12 5 3 4 7 15 25 35 48 57 59 62 66 74 85 100 116 126 131 132 130 126 120 112 101 90 83 81 81 80 79 74 68 69 68 64 63 63 63 63 60 56 49 44 42 42 43 45 47 52 57 59 57 55 58 67 75 78 80 77 71 64 58 55 nan nan nan nan nan nan nan nan nan nan nan nan nan
4 2 1 0 0 0 0 0 1 4 8 7 5 4 3 2 3 5 7 10 13 15 14 14 14 16 19 20 19 20 26 39 53 56 50 38 27 18 13 12 15 21 25 26 25 24 19 14 12 13 19 27 30 28 21 19 19 22 22 19 18 21 26 32 39 44 47 46 44 38 32 27 25 25 30 40 49 62 71 71 67 62 58 57 62 74 89 100 98 84 65 49 38 30 27 27 26 23 18 12 2 0 0 0 0 0 0 0 0 3 9 12 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 5 5 5 5 6 5 5 5 6 6 6 6 7 8 8 8 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 8 18 20 12 8 8 8 8 8 8 7 7 7 12 23 34 34 22 16 14 3 0 0 0 1 4 14 29 49 66 68 51 34 33 27 16 7 2 0 0 1 3 7 14 27 36 49 55 58 61 63 65 74 91 106 120 130 133 135 135 132 126 120 114 109 109 110 109 108 103 99 95 92 90 87 84 81 78 73 64 52 46 43 41 40 40 42 46 47 48 48 51 60 70 77 84 87 84 78 69 61 nan nan nan nan nan nan nan nan nan nan nan nan nan
7 2 1 1 0 0 0 0 1 4 8 12 12 10 10 9 8 6 5 4 4 6 10 12 11 11 14 16 18 18 19 25 38 52 56 54 46 32 18 11 12 18 24 27 27 26 22 17 14 12 12 16 20 22 22 22 23 28 29 27 26 27 29 32 36 42 44 45 46 45 41 32 24 19 20 33 48 60 66 60 49 47 52 59 68 80 94 99 95 86 70 50 35 26 25 28 30 27 20 13 5 1 0 0 0 0 1 1 6 14 17 12 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 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 1 2 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 27 14 8 8 8 8 8 7 7 6 6 12 30 48 53 32 18 12 3 0 0 0 4 13 24 38 63 78 70 50 35 31 23 12 3 0 0 0 0 0 1 6 19 26 36 45 52 57 59 60 62 67 77 93 108 118 126 133 135 131 126 121 120 121 124 124 124 124 120 115 112 112 113 109 105 102 97 92 85 75 67 62 58 52 47 44 41 40 40 43 51 60 68 76 86 93 92 87 75 nan nan nan nan nan nan nan nan nan nan nan nan nan
14 9 6 4 3 2 2 2 4 7 12 15 16 15 14 15 14 11 7 4 3 5 9 14 14 13 14 15 17 17 16 16 21 32 41 46 50 45 28 15 12 17 23 28 28 27 25 20 17 15 15 16 18 21 28 34 38 39 38 34 31 29 27 27 30 35 38 40 42 49 54 45 31 19 18 30 46 57 60 53 45 41 53 69 79 88 96 97 93 85 68 46 28 20 22 29 32 30 24 18 12 8 6 4 3 2 5 8 14 20 20 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 5 5 5 5 6 6 7 8 9 10 9 9 8 7 7 8 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 31 30 19 10 8 7 7 6 6 6 6 5 10 26 48 64 47 25 10 2 0 1 6 17 36 54 72 85 82 68 49 35 32 28 18 9 3 2 2 2 1 0 3 10 17 24 31 41 51 56 58 58 58 60 64 74 88 101 113 120 121 118 113 111 112 113 113 111 109 106 102 99 99 103 104 104 103 101 100 102 99 95 92 90 85 78 66 56 49 42 39 43 48 54 59 69 82 90 93 89 nan nan nan nan nan nan nan nan nan nan nan nan nan
22 20 16 12 9 7 6 7 8 11 15 16 16 16 16 18 18 15 11 9 8 10 14 18 19 18 18 18 19 18 16 14 12 13 16 23 34 43 36 22 18 22 26 28 27 25 24 22 21 19 19 18 18 21 29 40 47 45 41 35 31 28 27 28 31 35 40 44 47 52 63 58 43 27 22 29 38 44 46 47 50 53 60 75 84 90 101 102 97 83 61 38 23 18 24 34 38 35 30 26 24 24 22 18 14 11 12 15 19 19 19 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 5 5 6 6 5 6 6 8 9 12 13 12 11 10 9 7 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 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 24 39 31 20 12 7 6 6 6 7 9 8 4 4 18 38 54 54 36 18 6 2 7 21 45 66 75 82 82 73 60 48 38 35 33 28 20 12 7 5 4 3 1 1 4 9 14 21 29 42 52 56 58 58 56 56 55 60 70 82 94 101 104 103 102 101 100 98 93 87 82 76 74 74 74 78 81 83 84 84 86 90 94 96 99 99 99 92 83 72 58 46 39 38 40 42 49 59 70 80 87 91 nan nan nan nan nan nan nan nan nan nan nan nan
22 22 21 19 16 14 14 14 14 14 14 15 15 15 16 16 16 16 16 15 14 15 17 19 21 21 22 23 23 21 18 16 12 9 8 11 18 30 37 34 33 32 30 27 24 21 20 21 23 23 22 21 20 20 24 32 41 44 40 34 31 31 31 33 40 46 50 51 49 51 59 59 50 33 29 30 29 28 32 44 58 62 62 71 82 92 107 101 96 82 58 37 26 28 40 52 52 45 39 35 34 36 36 33 27 23 22 20 14 16 16 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 5 6 6 6 5 5 6 8 10 12 13 13 13 12 11 8 7 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 34 40 28 18 9 6 5 5 5 8 16 15 3 1 9 25 40 47 43 32 21 16 21 40 66 72 63 58 55 49 44 41 38 37 36 32 27 17 10 6 5 4 2 0 1 2 6 15 21 27 38 49 55 57 57 55 54 52 52 58 65 73 83 91 94 93 92 90 87 81 74 65 61 59 58 58 60 62 64 64 64 66 71 76 79 82 86 89 88 83 72 58 44 36 33 33 36 42 50 60 72 80 nan nan nan nan nan nan nan nan nan nan nan nan
18 18 19 20 18 15 14 16 18 19 18 18 18 17 16 14 14 14 16 17 16 16 17 19 20 22 24 26 27 25 22 19 16 13 10 9 10 16 26 36 43 42 36 27 22 17 17 20 23 24 24 24 23 21 18 20 27 36 37 35 34 34 35 40 50 56 54 45 39 40 47 52 46 37 34 30 23 17 26 45 61 65 63 64 73 85 97 101 98 86 68 52 46 54 67 70 65 54 44 39 38 39 40 38 35 33 30 20 13 12 12 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 1 2 2 3 4 5 5 6 6 6 5 5 5 7 10 12 13 13 13 13 12 10 7 7 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 1 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 2 14 36 35 23 13 7 5 5 7 12 18 25 21 7 1 3 12 23 33 38 40 41 41 48 54 55 47 39 34 30 30 32 34 36 38 35 30 26 17 11 6 5 5 3 1 1 1 2 9 17 21 27 37 46 52 55 54 52 49 47 48 49 52 57 67 78 84 84 81 80 77 68 60 54 50 48 46 45 47 50 52 53 53 55 57 59 59 60 64 67 68 66 60 49 39 33 30 29 30 36 44 53 65 nan nan nan nan nan nan nan nan nan nan nan nan
14 14 14 15 15 14 15 20 23 24 25 24 24 22 21 18 15 15 17 20 20 18 18 20 22 23 25 27 28 27 25 22 20 17 15 12 9 7 12 21 34 42 40 28 18 14 18 21 24 25 25 25 25 23 20 16 16 26 32 34 36 38 39 43 51 57 50 33 23 24 32 40 41 38 37 33 23 11 24 43 60 68 68 65 64 67 72 80 82 82 78 66 57 55 61 69 69 57 45 39 37 36 36 35 35 36 30 18 12 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 6 6 6 6 5 5 5 6 9 12 12 12 13 13 12 11 8 7 7 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 2 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 28 26 17 9 6 5 7 14 23 30 30 25 14 4 0 3 9 16 24 33 45 55 63 52 37 31 30 30 29 30 32 35 37 36 31 28 23 16 10 6 5 6 6 5 4 2 2 7 15 20 22 26 34 43 49 51 49 46 44 43 42 43 46 51 60 68 70 67 64 56 50 45 40 36 33 30 31 34 40 42 44 45 46 46 47 47 47 47 47 47 47 47 44 39 35 31 27 24 26 30 38 48 nan nan nan nan nan nan nan nan nan nan nan nan
11 11 12 13 14 15 17 21 25 27 26 26 26 25 25 23 20 20 22 23 21 17 15 16 19 21 23 26 27 27 27 25 23 20 18 16 13 10 10 13 20 35 37 26 20 20 23 27 27 27 26 26 26 25 22 18 16 20 24 30 36 42 42 41 46 54 50 30 13 11 18 28 35 37 39 36 28 22 29 42 55 68 75 76 70 62 59 61 66 78 84 57 38 33 44 62 64 53 43 39 36 34 32 33 32 30 21 11 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 6 6 6 6 5 5 5 5 7 10 12 12 12 13 13 11 9 7 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 5 13 17 14 9 6 6 6 10 24 35 36 33 26 17 7 2 1 2 4 8 17 38 48 50 38 30 30 32 34 34 35 35 34 34 30 28 26 22 17 13 10 10 11 7 7 6 5 5 7 13 18 21 23 26 35 44 46 45 43 40 38 36 35 39 46 51 54 56 52 42 32 29 26 24 22 19 18 15 20 26 32 36 38 38 38 36 35 38 39 36 35 33 32 34 35 34 31 28 23 20 20 25 33 35 nan nan nan nan nan nan nan nan nan nan nan
12 14 16 18 18 16 16 18 20 21 21 22 22 22 22 22 22 24 26 25 19 15 12 9 9 12 17 22 25 26 26 25 22 20 18 17 16 16 15 15 15 28 34 31 28 29 30 33 32 30 28 27 27 26 24 21 18 18 19 24 35 42 41 36 39 51 54 36 12 4 8 17 27 33 39 43 40 36 35 35 44 60 76 88 85 73 60 55 61 76 85 63 41 40 53 58 52 44 41 41 40 37 34 32 28 20 11 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 6 6 6 6 5 5 4 4 5 8 11 13 13 13 13 12 9 7 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 10 8 6 6 6 8 16 36 40 35 28 20 12 6 3 2 1 0 1 6 23 35 33 27 25 26 30 32 34 34 32 30 27 25 25 26 24 21 19 17 17 16 10 8 7 6 6 6 9 12 17 22 26 29 34 38 37 35 32 29 27 26 29 35 42 47 48 45 37 28 22 18 14 11 10 9 9 11 15 20 26 30 31 30 28 27 25 31 30 30 30 30 32 33 32 30 26 22 17 15 16 20 22 nan nan nan nan nan nan nan nan nan nan nan
18 20 21 21 20 18 16 16 18 20 20 20 18 17 16 16 18 21 23 22 18 18 16 11 7 8 11 15 20 24 26 25 22 18 16 16 17 18 20 20 16 18 27 30 29 30 33 36 35 32 30 28 27 26 25 22 18 15 15 19 30 37 35 30 34 47 53 37 13 4 7 14 23 31 40 45 43 37 31 30 36 52 72 89 91 81 67 59 62 73 82 79 70 64 57 45 38 36 40 45 46 41 31 23 19 10 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 5 6 6 6 6 6 5 5 5 5 6 10 12 13 14 14 12 9 7 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 1 3 3 2 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 5 4 5 6 10 26 39 37 28 19 11 6 5 4 4 2 0 0 2 12 23 24 20 18 18 18 21 22 23 22 22 21 22 24 26 28 27 24 22 20 17 11 8 7 7 6 5 5 6 8 17 22 24 27 28 26 24 23 20 19 18 20 24 29 34 38 39 36 31 24 19 13 9 8 8 7 7 9 11 14 15 20 21 24 27 29 30 30 31 32 34 34 32 29 25 20 16 15 14 14 14 13 nan nan nan nan nan nan nan nan nan nan nan
17 17 17 18 20 21 19 18 20 24 26 23 18 14 12 11 13 16 18 20 21 23 25 21 13 10 10 11 14 18 22 23 22 20 17 15 15 17 19 21 20 17 19 21 23 26 31 35 36 34 30 28 28 26 24 19 12 9 10 15 24 30 30 31 39 48 47 31 12 6 10 16 22 28 36 38 34 30 28 30 36 47 63 78 84 80 72 67 65 68 70 69 62 48 34 29 30 33 36 41 40 27 14 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 5 6 6 6 5 5 5 5 5 5 7 10 12 14 14 12 9 7 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 3 3 4 5 9 17 28 32 26 18 11 6 5 5 5 4 4 1 0 1 5 10 11 11 12 11 10 10 10 9 11 12 14 17 21 23 25 24 23 20 16 11 8 7 7 7 6 4 4 4 5 9 14 17 19 20 19 18 16 14 14 12 12 15 19 23 26 28 30 30 29 24 19 14 13 12 9 7 7 7 7 8 11 14 20 26 30 33 34 35 35 36 35 32 28 24 19 16 16 16 14 12 10 nan nan nan nan nan nan nan nan nan nan nan
8 8 9 11 14 16 17 16 19 23 25 23 19 14 12 12 13 14 18 21 23 25 27 25 21 15 13 12 12 12 15 17 20 22 22 20 17 16 17 20 22 23 24 24 25 26 29 33 35 34 32 30 29 27 22 17 7 4 7 12 22 29 34 44 54 54 42 27 12 7 10 16 21 24 24 24 24 27 32 36 38 42 52 64 71 74 74 74 73 68 60 50 38 28 23 24 29 32 27 29 24 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 6 6 5 3 3 4 5 5 5 6 7 9 11 12 11 9 7 6 7 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 0 0 0 0 0 0 0 0 1 1 2 6 10 19 26 27 21 14 10 8 6 6 6 6 6 5 2 1 1 4 7 8 8 8 8 8 7 6 6 6 7 8 10 12 11 14 12 14 12 10 8 7 7 7 6 5 3 1 1 2 4 6 8 10 11 9 10 8 7 8 8 8 8 10 14 16 18 19 19 22 22 19 17 15 13 10 6 6 5 5 5 5 8 13 18 25 31 35 37 39 39 37 34 30 26 21 20 20 19 17 13 11 nan nan nan nan nan nan nan nan nan nan nan
5 6 7 8 9 11 12 12 12 14 17 19 18 16 15 16 16 15 18 20 20 22 24 25 24 21 19 17 15 13 12 12 14 19 24 25 24 20 17 18 22 26 30 32 31 30 30 32 34 35 34 32 30 26 20 14 6 4 7 14 25 36 46 55 60 54 40 28 15 7 7 12 16 18 17 18 23 33 40 42 40 38 42 53 64 72 78 82 82 71 56 42 30 23 21 25 29 29 22 23 16 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 3 4 5 4 2 2 2 3 4 5 5 5 6 8 10 10 9 6 6 7 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 2 6 19 35 37 32 23 13 8 7 6 6 6 6 6 7 7 5 3 3 5 7 7 7 7 7 7 7 7 7 6 6 6 7 7 6 5 5 5 5 5 5 6 6 6 5 4 1 0 0 1 2 3 4 4 5 5 4 4 4 3 3 4 4 5 6 8 7 8 9 11 13 14 14 13 11 8 3 2 1 1 0 1 3 6 9 14 19 25 29 33 36 37 34 30 26 22 22 22 21 19 16 13 12 nan nan nan nan nan nan nan nan nan nan
10 9 9 9 9 9 10 10 10 12 13 15 16 16 17 18 17 16 17 19 18 19 20 21 21 21 22 22 21 20 17 13 12 13 18 24 27 26 22 19 20 25 30 35 37 36 33 32 33 35 36 34 31 25 18 12 7 6 10 18 32 43 50 55 56 52 42 33 22 9 3 5 9 11 11 15 24 35 41 40 35 34 42 52 60 68 79 87 85 71 53 40 30 24 24 29 32 27 21 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 2 2 2 2 3 3 4 5 5 6 7 7 7 6 6 6 6 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 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 3 11 28 39 36 27 16 10 8 6 5 5 6 6 7 8 8 7 5 4 6 7 7 6 6 6 6 6 7 7 6 6 6 6 5 2 1 1 1 1 1 1 2 3 3 2 1 0 0 1 3 4 4 4 3 1 1 1 1 1 0 0 0 1 0 2 2 2 2 3 4 5 6 7 5 6 3 1 0 0 0 0 0 0 1 2 5 8 10 14 17 20 24 25 24 21 19 18 18 18 19 18 17 14 nan nan nan nan nan nan nan nan nan nan
15 15 14 12 10 10 10 11 11 11 13 14 15 15 15 16 16 16 16 16 16 16 17 18 19 20 20 21 21 21 20 17 14 12 12 18 24 28 28 26 24 25 28 32 37 39 37 34 33 35 38 36 30 23 18 13 10 10 14 22 35 45 50 54 55 52 47 42 36 24 10 4 3 4 6 10 17 24 28 28 27 30 48 57 59 65 76 84 79 64 47 36 33 36 41 42 34 22 14 10 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 1 1 2 3 5 5 5 5 6 6 5 6 6 6 6 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 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 4 13 28 32 25 17 11 8 7 6 6 6 5 5 7 8 8 7 6 6 6 7 6 6 6 6 6 6 6 6 6 6 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 8 11 14 14 13 11 10 10 11 15 17 16 nan nan nan nan nan nan nan nan nan nan
18 19 18 17 15 14 13 13 14 17 18 18 18 17 16 16 16 15 14 14 14 15 15 17 18 19 19 19 19 19 20 19 17 14 11 11 16 23 28 31 29 27 26 28 31 36 39 38 36 35 37 36 28 21 16 15 13 12 16 22 30 40 48 55 58 57 55 54 53 46 33 20 13 9 8 7 7 8 10 14 20 33 56 63 63 66 73 75 66 52 41 39 45 55 57 45 26 14 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 1 2 3 4 5 5 5 5 5 5 5 6 6 6 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 1 2 3 4 3 3 3 3 2 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 17 16 11 9 8 7 6 6 8 8 6 5 6 7 7 6 4 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 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 1 1 3 5 7 7 6 3 2 3 5 10 12 nan nan nan nan nan nan nan nan nan nan
23 22 21 19 16 14 14 13 14 17 19 20 20 20 20 19 18 16 14 13 13 13 14 15 16 18 19 19 19 19 18 18 18 16 14 12 11 14 20 28 31 30 28 27 26 28 34 40 39 36 35 34 28 19 14 13 13 12 14 17 22 31 42 51 58 62 61 61 61 59 53 44 36 30 24 18 12 9 10 15 27 46 63 67 70 72 71 64 54 47 46 54 66 69 54 32 16 5 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 3 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 3 3 3 2 1 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 5 8 10 9 9 8 6 4 4 8 10 9 7 5 5 4 4 2 1 2 3 3 4 5 6 7 7 6 6 5 5 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 2 3 4 nan nan nan nan nan nan nan nan nan
24 24 22 22 21 19 17 16 17 18 20 20 19 18 19 20 20 20 19 17 15 13 13 13 14 16 17 18 19 18 18 18 17 16 14 13 11 9 10 18 26 30 31 29 26 23 26 35 39 37 33 31 26 18 12 10 12 12 11 13 16 21 28 38 50 60 64 59 56 55 56 56 55 54 52 45 38 35 35 41 52 63 69 73 78 79 69 58 50 52 62 74 78 64 37 17 7 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 3 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 2 3 3 2 2 1 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 9 9 9 9 9 8 8 8 7 4 3 5 10 12 10 8 6 4 2 1 0 0 0 0 0 1 4 6 7 7 6 5 5 4 3 2 1 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 1 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
24 23 23 23 24 23 22 21 22 22 22 20 17 14 13 14 16 18 20 20 19 18 14 12 12 14 15 17 18 18 18 18 17 16 15 14 13 12 10 7 14 22 28 31 29 24 22 27 37 39 34 30 26 18 11 8 9 12 11 9 12 16 20 24 34 48 56 52 46 47 50 52 53 52 53 54 55 58 65 76 83 84 84 82 80 73 58 46 46 60 75 82 72 48 24 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 2 3 4 4 5 5 5 5 5 5 6 6 5 5 5 5 6 6 6 6 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 3 4 3 3 3 3 2 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 15 16 14 12 10 8 8 8 8 7 7 9 12 12 9 8 7 5 2 1 0 0 0 0 0 1 4 7 8 7 6 5 3 2 1 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 1 2 2 2 1 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 22 22 22 22 23 22 22 22 22 22 20 16 13 12 11 11 12 13 15 17 20 20 17 12 12 13 14 16 17 18 17 17 16 16 15 14 13 12 10 9 12 20 28 31 28 23 23 31 38 37 31 26 20 12 7 8 11 12 8 7 12 18 20 23 32 43 48 46 45 46 45 42 38 38 41 45 50 61 78 96 100 91 76 61 46 34 33 48 69 80 76 59 38 18 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 2 2 2 2 2 2 3 4 5 5 5 5 5 4 5 5 4 4 4 5 6 6 6 6 6 6 6 5 4 3 2 1 0 1 1 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 4 4 3 3 3 3 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 13 12 9 8 7 8 9 10 11 12 12 11 9 8 8 7 6 5 4 2 1 0 0 0 1 6 7 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 0 0 0 2 2 2 3 3 2 1 1 1 0 0 0 0 0 nan nan nan nan nan nan nan nan nan
21 20 20 19 19 20 20 19 19 20 19 17 15 13 12 12 11 10 10 11 13 17 21 22 18 16 13 12 14 16 17 18 18 17 16 16 15 14 13 12 10 9 11 19 28 30 26 23 27 36 40 34 27 22 15 9 7 9 11 9 6 8 17 23 23 24 31 40 46 48 47 45 39 31 25 24 25 26 34 53 87 95 77 52 32 24 26 40 61 75 75 65 49 34 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 3 5 5 6 5 5 4 3 4 4 3 3 4 5 6 5 6 6 7 6 6 6 5 5 4 2 1 1 1 1 0 0 0 0 0 0 0 0 1 3 4 4 5 5 4 4 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 1 2 5 6 5 4 5 6 7 8 10 13 15 13 10 8 8 8 8 8 8 6 5 2 0 0 0 1 6 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 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 8 8 8 6 5 4 1 1 2 2 nan nan nan nan nan nan nan nan
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