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