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