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