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