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