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 6 8 10 10 10 9 8 7 6 5 3 2 2 2 2 3 3 4 3 4 5 6 6 5 5 5 5 5 5 5 5 4 4 3 3 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 2 2 3 2 2 3 2 2 2 2 2 3 3 3 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 5 5 4 4 4 4 4 5 4 4 4 5 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 5 5 6 6 6 5 5 6 6 5 5 6 6 7 7 7 7 6 6 5 6 6 6 5 5 6 7 7 6 4 2 4 10 11 8 6 10 9 3 -2 8 8 2 2 2 1 9 12 5 3 3 2 2 5 7 -1 -1 4 3 0 3 3 -0 1 1 3 4 4 8 12 10 5 4 11 13 9 6 3 3 8 11 6 1 4 10 9 7 8 5 -2 -3 2 6 5 -1 -3 2 6 8 16 31 38 30 14 5 3 3 3 3 2 2 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 7 8 8 8 8 8 9 9 8 8 9 9 10 12 12 11 9 7 6 5 5 5 5 6 6 5 5 4 7 7 6 5 5 5 5 5 5 5 6 6 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 2 3 3 4 4 5 6 7 7 8 9 8 8 7 5 3 3 3 4 6 10 10 8 5 4 4 4 5 5 6 6 5 5 4 4 4 5 5 4 4 3 3 3 4 7 16 25 19 7 5 8 6 1 1 -3 -5 -13 -6 2 -2 -2 2 3 2 0 0 0 -5 -10 -9 -7 -6 -3 -0 3 4 5 5 7 8 11 15 17 16 12 10 13 13 13 11 10 10 9 7 7 6 5 11 18 18 11 8 7 5 2 1 -0 -1 2 3 3 3 3 3 2 1 -2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 5 8 9 9 9 9 9 9 8 6 4 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 3 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 3 4 3 3 4 3 3 3 4 5 5 5 5 4 5 5 4 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 4 5 5 5 5 4 5 5 5 5 6 7 6 6 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 6 6 5 5 5 6 7 6 5 3 6 10 10 10 11 14 18 7 4 11 7 1 5 9 1 3 5 6 8 6 0 -2 5 9 3 0 0 0 0 9 12 9 6 4 4 7 6 6 10 7 7 9 11 10 9 5 -1 2 10 14 10 2 -2 -2 -0 5 7 1 -4 -2 4 6 4 3 6 8 11 17 27 35 32 18 6 3 3 4 3 3 3 2 1 1 1 2 2 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 5 6 7 7 7 7 8 8 8 8 8 8 8 7 8 9 8 9 10 8 6 5 5 5 5 5 5 4 3 5 7 6 5 5 5 5 5 5 5 5 5 1 -1 4 4 3 3 3 4 4 4 3 3 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 3 4 4 4 5 6 7 7 8 9 10 10 10 8 6 4 3 4 7 10 10 7 5 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 5 9 17 23 22 15 11 7 8 11 9 0 -1 -1 2 1 3 2 3 5 6 4 2 3 2 -2 -3 -3 -3 -1 2 3 4 5 5 6 7 9 10 11 9 8 9 11 12 11 11 13 14 13 9 5 5 9 11 8 5 3 2 3 3 2 0 -0 1 2 3 3 3 2 2 -0 -2 -1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 2 3 6 7 8 8 8 9 10 11 8 6 4 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 3 4 4 4 4 4 4 5 5 5 4 4 3 3 4 4 5 5 4 4 4 4 4 5 5 6 7 7 6 5 5 5 5 5 6 6 7 7 8 8 7 7 7 6 6 6 6 5 6 6 6 6 5 3 5 9 11 11 14 19 21 6 4 9 2 1 6 8 1 1 -1 1 8 11 3 -1 6 9 6 2 1 1 2 11 17 15 10 7 7 10 10 12 13 5 8 12 8 3 3 -3 -6 3 11 14 11 5 -3 -7 -2 4 3 4 6 5 4 4 4 6 9 11 16 27 36 31 18 7 3 3 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 4 1 4 5 5 5 5 6 5 4 4 4 6 6 6 5 5 4 5 5 5 5 4 5 -3 -8 -0 3 1 -0 2 4 4 4 3 4 4 4 4 3 3 2 2 3 3 2 2 1 2 2 2 3 3 2 1 2 3 4 4 5 5 5 6 7 7 8 10 12 13 12 9 6 4 4 7 10 8 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 6 14 18 20 15 8 7 8 6 3 4 3 3 4 5 4 4 5 7 7 5 6 7 5 3 2 3 3 3 3 4 5 5 6 6 7 7 6 6 6 7 8 8 9 10 13 20 24 19 11 8 8 7 5 3 2 2 2 3 3 2 0 1 2 2 2 3 3 2 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 1 3 4 6 6 6 6 6 9 10 10 8 7 5 4 3 2 3 3 3 4 4 5 4 5 4 4 4 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 2 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 4 5 6 5 4 4 4 4 4 4 4 5 6 6 6 5 5 4 5 5 5 5 6 8 8 8 8 7 7 7 7 7 6 5 6 6 6 6 4 3 2 3 6 7 6 9 14 7 3 6 5 2 9 6 -1 1 0 2 9 10 4 4 7 6 2 3 3 2 3 7 10 10 9 7 7 11 12 15 14 14 14 9 3 2 2 -3 -2 7 11 13 8 2 -0 0 2 3 3 8 12 9 4 3 4 6 9 14 21 31 31 19 8 4 3 3 3 3 4 4 4 3 3 2 2 2 2 3 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 6 7 7 6 7 7 7 7 6 4 2 5 5 5 5 6 6 5 5 4 5 6 6 6 6 5 5 5 5 5 5 5 6 0 -7 -5 1 2 -0 1 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 2 2 3 4 5 5 4 3 2 3 4 4 4 5 5 5 6 7 8 11 14 16 16 12 8 5 4 7 9 7 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 3 3 3 2 2 3 4 7 13 15 10 7 6 4 1 3 5 5 5 6 4 5 7 7 7 5 5 5 5 6 6 6 5 4 5 4 4 4 5 6 6 6 5 6 6 6 6 6 6 8 12 20 28 25 17 11 7 5 4 3 2 2 3 4 4 3 2 1 1 1 1 2 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 nan nan nan nan nan 1 1 3 4 5 5 4 3 4 6 8 9 8 8 7 6 5 4 4 4 3 3 4 5 5 4 5 5 4 4 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 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 5 5 5 5 4 3 4 5 5 5 4 5 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 4 5 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 8 9 9 8 7 7 7 7 7 6 6 6 6 6 4 3 -0 -4 -2 1 -1 1 8 7 6 7 6 3 11 9 2 2 2 5 9 4 2 2 4 1 -1 0 1 2 7 6 -0 -2 4 6 7 7 8 10 10 17 16 8 2 2 2 6 10 10 7 8 5 2 5 10 7 5 8 11 10 7 4 3 3 4 8 15 25 27 18 8 4 4 3 3 3 3 3 3 3 2 2 3 2 2 3 3 3 3 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 9 12 9 6 5 5 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 3 -0 -5 -2 7 7 4 4 4 4 4 4 4 4 5 4 4 5 5 6 6 6 5 3 3 5 6 7 7 5 4 3 4 4 4 4 5 5 5 6 7 9 13 15 18 19 15 9 5 4 6 7 6 5 4 4 4 4 5 4 5 5 4 5 4 4 4 4 4 4 3 2 1 0 -1 -1 -1 -1 -2 -1 2 8 9 6 5 4 3 6 8 7 5 4 3 6 10 10 9 6 6 6 7 8 7 5 4 4 5 5 4 4 5 5 5 5 5 6 6 7 6 6 6 7 10 16 22 21 16 11 8 5 4 2 2 3 4 5 5 4 2 1 0 -0 0 1 3 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 3 2 2 3 4 4 3 1 2 4 6 7 7 6 7 7 6 6 5 5 4 4 4 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 3 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 5 4 4 4 5 5 5 4 4 5 5 5 5 4 5 5 4 4 4 5 5 4 4 5 5 6 6 5 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 4 5 6 7 8 8 9 8 7 7 7 7 6 6 6 6 5 5 4 1 -0 3 2 -3 -1 3 3 9 9 4 3 4 5 6 5 2 8 11 4 3 4 3 1 4 5 4 5 9 7 -0 -5 -2 4 8 4 -2 4 6 10 10 5 2 2 2 8 12 7 4 6 5 6 12 14 10 10 12 10 7 5 3 2 2 3 8 17 22 16 8 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 10 14 10 7 6 5 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 4 -1 -3 4 9 8 5 5 4 4 4 3 4 4 5 5 6 7 8 8 8 6 4 5 6 7 7 6 5 4 4 4 4 4 4 4 5 6 6 8 10 13 17 19 19 16 11 6 6 7 6 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 2 1 1 -1 -3 -5 -6 -6 -6 -6 -4 -1 3 6 5 5 4 5 8 10 9 5 4 5 6 8 13 13 9 6 7 8 7 6 5 4 3 4 4 4 4 5 4 4 5 6 6 6 7 8 7 7 7 8 11 12 13 12 10 8 6 4 3 3 4 5 6 6 4 3 2 1 0 1 1 2 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 7 4 3 3 4 4 4 2 1 3 4 6 7 6 6 7 7 7 6 6 5 5 4 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 3 4 5 5 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 5 5 5 4 4 4 3 3 3 4 4 5 6 6 5 5 5 5 5 4 4 5 7 8 9 9 8 8 7 7 7 6 5 6 6 5 4 3 4 8 5 -2 -3 0 6 8 3 4 6 1 1 4 5 3 11 13 5 5 9 5 3 8 9 8 8 8 4 3 1 -2 2 7 -0 -7 1 2 5 3 1 1 5 6 2 4 4 5 7 -2 4 12 14 11 9 10 7 4 4 4 3 3 5 10 18 16 8 5 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 2 2 3 3 3 3 4 4 4 5 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 9 13 11 6 5 5 6 5 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 3 -1 -3 3 7 7 6 5 4 4 3 3 4 5 6 7 8 10 10 9 7 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 7 9 12 15 17 17 16 12 9 8 8 6 4 3 4 4 4 4 4 4 4 5 5 5 4 4 3 3 2 2 1 1 2 -1 -3 -5 -4 -3 -4 -3 1 3 4 4 5 4 4 7 7 7 6 4 3 4 7 12 13 11 8 8 8 7 6 4 4 3 3 3 3 3 3 4 5 4 5 6 7 8 9 9 8 7 7 7 8 8 9 9 8 7 5 5 5 6 7 7 6 5 4 4 3 2 1 0 1 3 4 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 11 10 9 7 5 4 4 4 3 2 1 3 5 6 5 5 5 7 7 6 6 6 5 6 5 5 5 5 5 5 4 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 2 3 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 3 4 4 4 4 5 5 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 5 5 4 4 4 3 3 3 3 4 5 6 6 6 5 5 5 4 4 3 4 5 7 8 9 9 8 8 8 7 6 6 6 6 6 5 4 3 3 3 1 1 4 10 10 5 4 5 3 2 4 5 5 11 10 5 5 8 7 4 5 6 7 9 8 3 4 5 -0 2 4 -5 -3 3 5 6 0 -2 -2 6 9 5 2 0 4 5 -3 -0 6 8 7 10 11 7 4 3 3 4 6 9 17 21 14 6 4 4 4 3 4 4 3 3 3 3 3 3 2 3 2 2 2 3 3 3 3 3 3 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 5 5 5 5 6 7 7 7 7 11 13 9 6 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 5 4 3 -0 -1 4 7 7 6 4 4 3 3 4 4 6 8 11 12 11 9 6 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 7 8 9 11 13 14 13 13 12 12 10 6 3 3 3 3 4 4 4 4 4 5 5 5 5 4 3 3 2 2 1 2 5 5 3 2 2 2 2 2 3 4 3 3 4 5 5 6 5 5 9 8 4 1 3 8 9 10 10 10 9 7 5 4 4 3 2 3 4 3 0 1 4 5 5 6 7 9 10 9 7 7 6 6 6 7 8 8 7 7 6 7 7 8 8 7 6 6 4 4 4 3 2 1 1 3 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 7 9 11 11 8 6 4 4 4 3 1 1 2 4 4 4 4 5 6 6 6 5 5 6 6 6 6 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 3 3 3 4 5 6 6 6 6 5 5 4 3 2 4 5 6 8 9 9 9 8 8 7 6 6 6 6 6 5 3 2 0 0 2 5 8 9 8 7 6 7 8 4 3 4 9 10 5 5 5 4 9 7 6 4 6 9 8 4 4 4 2 5 3 -6 1 5 8 11 8 -1 -3 -0 3 4 5 3 7 5 5 2 4 3 6 10 9 6 4 3 3 6 10 16 23 20 11 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 5 5 5 5 6 6 6 7 6 5 5 5 5 5 5 5 6 5 5 5 4 4 4 5 6 6 10 19 19 13 9 8 7 7 6 5 5 5 5 5 6 6 6 5 5 6 5 5 5 5 5 4 5 3 -1 2 7 7 6 5 4 4 3 4 4 6 9 13 15 13 8 3 1 1 2 2 2 3 3 4 4 4 4 4 4 4 5 6 6 6 7 7 7 9 9 11 13 15 15 11 5 2 2 2 2 3 4 4 4 5 5 5 5 5 5 3 3 3 5 4 2 5 7 5 5 4 3 3 3 4 3 3 3 3 6 9 8 6 6 10 12 6 1 2 5 7 9 10 10 9 7 6 5 4 3 2 3 5 5 3 2 3 5 5 6 7 9 10 7 6 4 5 6 6 7 7 7 7 6 6 7 7 8 8 8 6 5 4 4 5 6 7 8 7 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 5 8 11 11 8 6 5 4 3 3 1 1 2 3 3 4 4 5 6 6 5 5 6 6 6 6 6 6 5 5 4 4 4 4 3 4 5 4 4 5 4 4 4 4 4 3 3 3 2 2 2 2 3 2 3 3 3 3 3 4 4 4 4 4 5 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 3 4 5 5 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 3 3 5 6 6 6 6 5 4 4 3 3 3 3 5 6 9 10 10 9 8 7 6 6 6 6 6 5 4 2 2 2 3 6 7 7 6 5 6 8 9 7 3 1 5 7 5 7 6 6 12 12 10 7 6 7 6 6 2 -1 2 7 3 -2 1 3 8 14 15 -1 -2 -0 -1 4 6 4 8 4 9 6 7 8 13 14 9 4 2 2 5 8 11 18 21 15 6 4 4 4 4 4 4 3 3 3 3 3 3 2 3 2 2 2 2 2 3 3 3 3 4 4 4 5 4 5 5 6 6 6 6 6 5 5 4 5 5 5 5 5 5 5 3 3 2 3 3 4 7 15 22 21 19 15 13 11 8 7 6 6 6 6 6 6 5 5 5 6 5 5 5 6 5 5 5 4 1 2 6 7 6 6 5 4 4 4 4 6 9 12 15 14 7 2 1 1 2 2 2 3 3 4 4 4 4 5 4 4 5 5 6 6 6 6 6 6 7 8 12 16 16 11 5 2 2 2 2 2 3 4 5 5 5 5 5 5 4 4 3 3 7 12 7 4 5 5 6 4 3 2 3 4 4 5 6 5 8 12 11 9 7 7 11 10 4 4 5 7 9 10 11 10 8 6 5 4 3 3 2 5 8 8 8 8 6 5 6 6 8 8 5 3 1 1 3 5 7 7 7 6 6 6 6 7 8 7 7 5 4 3 3 6 13 21 22 14 6 4 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 2 2 4 8 10 10 8 6 5 4 4 2 1 2 2 1 1 3 4 6 7 5 5 6 6 6 6 6 6 6 5 4 4 4 4 3 4 4 5 5 5 5 5 4 4 4 4 3 3 2 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 3 3 3 2 3 3 3 3 2 3 3 3 2 2 2 3 3 3 3 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 6 6 5 5 4 4 5 5 6 7 6 5 5 4 3 3 3 3 4 6 8 10 10 10 9 8 7 6 6 6 6 6 5 3 3 3 6 8 8 7 7 4 5 4 4 5 3 0 1 6 9 10 7 7 11 17 18 13 7 4 5 7 3 -2 1 7 2 -0 1 3 9 15 11 -4 -1 1 3 10 7 4 3 5 6 6 8 13 19 17 10 5 4 4 5 6 9 15 17 9 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 3 2 2 2 3 3 3 4 3 4 4 4 5 5 5 6 6 6 6 5 5 5 4 5 5 5 6 6 5 4 3 2 2 2 2 3 5 11 18 21 21 20 18 16 14 13 13 11 9 7 5 4 5 5 5 5 5 6 7 7 6 7 6 5 5 6 6 6 5 5 4 4 4 4 5 7 9 11 11 7 3 3 3 2 1 1 2 3 3 4 4 4 4 3 2 2 4 5 5 6 5 5 5 6 8 11 14 14 9 3 1 1 1 2 2 2 3 4 5 5 4 3 3 3 3 2 2 6 15 13 6 5 5 5 4 4 3 4 6 9 10 9 8 10 12 11 9 7 5 6 8 6 5 5 6 8 10 12 12 9 6 6 5 4 4 3 4 6 8 8 9 9 7 6 6 7 6 3 1 -1 -1 -0 2 4 6 7 6 6 6 6 7 7 6 5 5 3 3 2 6 19 31 29 16 6 4 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 1 1 1 4 7 9 10 9 6 5 5 4 3 2 2 1 -0 1 3 5 6 6 6 5 5 5 6 6 6 5 5 5 5 4 3 4 4 4 5 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 2 3 3 2 3 2 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 5 5 4 4 4 3 3 4 4 5 5 5 5 5 5 6 6 7 7 7 7 7 6 7 7 7 7 7 6 6 5 5 6 7 7 7 6 5 5 4 3 3 3 4 6 7 9 10 10 10 9 8 7 6 6 6 6 5 3 4 6 10 13 12 6 3 2 6 7 5 4 3 1 4 7 10 9 3 3 8 17 22 19 11 4 4 6 6 0 0 5 3 2 2 3 9 12 4 -1 1 2 7 10 4 1 5 10 5 -2 6 13 14 11 8 6 6 7 8 8 11 17 14 6 4 4 4 4 5 4 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 5 5 5 5 4 4 5 5 6 5 5 4 3 3 2 2 3 2 3 7 10 13 15 17 18 19 20 19 17 15 12 8 6 6 7 7 8 9 11 12 11 11 12 10 7 5 6 7 6 4 4 5 5 5 4 4 4 6 6 6 6 5 5 4 3 2 1 1 2 3 3 4 4 4 2 -4 -5 0 5 5 5 6 6 6 6 7 9 12 13 8 1 -2 -2 -1 -0 1 2 2 2 3 3 2 -0 -2 -2 -1 -1 0 5 11 11 6 5 5 4 4 4 4 5 8 10 11 11 8 7 8 9 7 6 5 5 5 5 5 5 5 7 10 13 12 10 8 6 6 6 5 3 3 4 5 5 6 8 8 8 7 6 4 2 0 -1 -2 -2 0 3 6 7 7 6 6 7 7 7 6 5 4 4 2 3 6 15 22 21 12 5 4 4 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 2 1 1 1 3 4 6 8 9 8 6 6 6 5 4 3 2 0 -1 1 3 5 6 6 6 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 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 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 4 4 4 4 4 4 4 5 4 4 4 3 3 4 5 5 5 6 6 5 5 5 6 7 7 7 7 7 7 8 9 10 10 10 9 8 7 7 7 7 7 7 6 6 6 5 4 3 3 4 6 7 8 9 10 11 11 10 8 6 6 6 5 5 4 7 11 11 10 10 2 -0 1 7 4 7 9 9 5 4 4 7 9 6 5 6 11 16 18 15 8 4 3 5 3 1 3 6 6 5 5 6 4 -3 1 1 5 8 5 2 2 9 12 5 -4 1 12 12 7 7 7 6 7 9 13 19 20 11 5 4 4 5 5 5 4 4 3 3 3 3 3 3 2 2 2 3 2 3 3 3 3 3 3 4 3 3 3 3 4 5 5 5 5 5 5 6 5 5 5 5 4 4 5 6 6 5 4 4 4 3 3 3 3 2 2 3 4 6 8 10 13 14 14 14 15 16 16 15 14 13 14 15 14 14 13 14 15 16 13 7 4 6 6 6 5 4 4 4 4 4 4 3 3 3 3 4 5 4 4 3 2 2 1 2 3 3 4 5 7 6 -4 -12 -10 1 5 5 5 5 6 5 6 8 10 11 9 4 -1 -4 -6 -7 -5 -1 2 1 -2 -1 -1 -3 -7 -7 -6 -4 -1 3 7 8 5 5 5 5 6 6 7 7 7 7 7 8 6 5 5 6 5 5 5 5 5 4 4 4 5 6 9 11 11 10 9 7 7 6 5 4 3 3 3 4 5 6 7 9 9 8 5 2 1 -0 -1 -1 1 4 6 7 7 6 7 7 7 7 6 6 5 4 4 4 7 10 10 9 7 4 3 2 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 4 2 1 2 4 4 3 4 6 6 6 6 7 6 5 5 3 2 -1 -1 1 4 6 7 6 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 6 6 5 5 5 6 7 7 7 6 6 7 8 9 11 12 13 13 11 10 8 7 7 7 6 6 6 6 5 4 3 3 3 5 7 8 8 9 10 11 10 9 7 6 5 5 5 5 8 11 6 6 7 1 1 -1 4 0 8 15 14 7 1 -0 4 7 10 9 5 4 8 12 13 11 9 6 3 4 2 3 8 9 9 6 3 -0 -3 2 6 8 6 4 1 3 9 8 4 2 5 9 9 9 9 8 6 6 7 15 23 17 8 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 5 4 4 4 3 3 3 3 2 3 3 3 3 4 5 5 6 8 10 12 16 18 17 16 15 13 12 8 6 8 10 12 11 5 4 5 6 6 5 5 4 4 4 4 4 3 3 2 -0 0 3 3 1 1 3 3 3 3 3 3 4 5 10 13 7 -4 -10 -4 4 4 4 5 5 5 5 6 7 8 10 10 7 2 -3 -10 -13 -10 -3 -1 -5 -5 -4 -3 -4 -4 -5 -4 1 3 4 4 4 5 7 8 8 10 12 10 7 6 3 3 5 5 5 5 5 5 5 5 5 5 5 5 4 5 7 9 10 10 9 8 7 7 5 4 4 3 3 3 4 6 6 8 11 10 8 5 3 2 1 2 4 5 7 7 7 7 6 7 7 7 6 6 5 4 4 5 7 7 6 4 3 3 2 1 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 10 7 4 3 4 6 5 3 3 4 4 5 7 7 6 5 5 4 3 0 -1 -0 2 5 7 7 6 5 4 4 4 4 4 5 5 4 4 4 4 3 3 3 2 3 3 2 2 2 3 2 3 3 3 3 3 2 2 2 2 3 2 2 3 3 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 4 3 4 4 4 3 3 3 4 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 3 4 5 5 5 6 5 5 5 6 6 6 6 5 5 7 8 9 12 14 16 17 15 12 10 8 7 6 6 6 6 6 5 4 3 3 4 4 6 8 8 9 8 8 8 9 8 6 5 5 4 5 7 8 5 7 6 5 4 -1 -3 -0 4 14 9 8 1 -0 1 3 5 7 6 2 3 6 8 9 12 10 5 3 2 3 5 7 10 7 4 3 4 5 9 9 6 6 6 7 8 9 4 7 9 7 4 7 10 8 7 7 7 16 21 12 5 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 2 3 4 5 6 4 5 5 5 5 4 5 5 5 4 5 4 4 4 5 5 6 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 6 7 9 10 11 10 7 6 6 5 3 1 2 4 5 4 4 5 6 6 5 5 5 4 4 4 5 4 4 4 -0 -4 0 3 -4 -8 -3 2 4 4 3 4 4 6 11 18 15 7 3 1 3 5 4 4 4 4 4 5 6 7 8 10 12 12 8 -2 -12 -15 -10 -6 -5 -4 -2 -0 1 2 3 2 4 5 3 3 4 5 7 7 7 10 13 13 9 7 4 3 4 5 5 6 6 6 5 5 5 5 6 6 4 5 6 8 9 9 9 8 8 7 6 5 4 3 3 2 2 3 5 7 10 11 10 7 5 4 5 5 6 7 7 7 7 7 6 6 7 6 5 5 5 4 4 4 5 5 5 5 5 3 2 2 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 10 9 7 6 6 7 6 4 4 4 3 4 6 6 5 4 4 5 4 2 -0 -0 2 4 5 6 5 5 4 4 4 5 5 4 4 4 4 4 3 3 3 2 2 2 2 2 1 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 3 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 3 3 2 3 2 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 3 4 4 5 5 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 9 11 14 17 19 18 14 10 8 7 6 5 5 6 6 4 3 3 3 3 5 7 8 9 9 9 7 7 8 8 7 6 5 4 4 5 6 7 8 5 9 7 6 -1 3 2 8 5 13 7 4 -1 1 2 3 6 6 3 4 6 7 8 7 5 5 5 3 3 7 10 8 7 7 6 8 8 8 5 5 9 11 5 7 4 7 8 5 4 4 7 8 8 8 10 19 18 7 3 4 4 5 5 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 2 2 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 5 5 5 5 4 3 3 3 4 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 6 4 2 0 1 2 4 5 6 6 5 5 5 5 4 4 4 4 4 5 6 6 0 1 6 2 -10 -13 -6 1 4 4 4 5 6 8 16 19 10 6 5 4 4 4 4 3 3 2 2 3 4 4 4 7 11 13 8 -2 -8 -6 -3 -1 1 2 2 3 5 6 6 4 3 4 5 6 7 6 6 3 2 7 9 8 7 5 4 4 4 5 6 6 6 6 5 5 5 6 6 5 5 5 6 8 9 9 8 8 8 7 6 5 4 3 2 1 1 3 5 7 9 9 8 6 5 6 7 8 8 7 6 6 6 6 6 6 6 5 5 4 3 3 3 3 4 5 6 5 5 4 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 8 9 8 8 8 7 6 5 4 4 4 4 5 6 5 4 5 5 4 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 3 3 2 2 2 2 2 2 2 1 1 1 2 1 2 1 2 1 1 2 2 2 2 2 2 3 3 3 2 3 3 2 2 3 3 3 3 3 3 3 3 3 2 2 2 2 3 2 2 2 2 3 3 3 4 3 3 3 3 4 3 3 3 3 4 3 3 3 4 4 3 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 9 12 16 18 18 15 11 8 7 5 5 5 6 6 4 2 2 3 4 5 7 9 10 11 12 10 8 7 7 8 7 5 4 4 5 6 7 7 5 6 6 8 6 8 3 8 14 16 11 9 1 1 2 1 7 6 2 2 4 5 5 4 6 8 6 5 8 11 9 8 5 2 3 8 9 5 3 4 7 9 4 3 4 7 5 1 3 4 5 7 8 9 13 20 14 6 4 4 4 4 4 4 3 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 2 2 2 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 4 5 5 3 2 2 3 4 5 6 6 6 5 5 5 5 4 3 4 4 5 6 9 7 6 11 12 2 -9 -14 -7 -0 1 2 2 4 6 9 13 10 5 5 4 3 3 2 1 -0 -1 -4 -6 -3 -1 -5 -6 -0 6 8 7 6 5 4 2 2 3 1 2 5 4 3 3 5 7 8 9 10 9 8 6 1 1 5 5 6 6 5 4 3 4 5 6 6 6 6 5 5 5 6 6 6 5 6 7 8 9 10 9 8 7 7 6 5 4 3 2 2 2 3 5 7 8 8 7 6 6 7 8 8 7 6 6 5 6 6 7 6 5 4 4 4 2 1 1 3 4 4 5 5 3 2 1 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 7 8 9 9 8 5 4 5 5 4 3 4 5 5 4 5 5 5 4 3 4 3 3 3 2 2 2 3 4 4 4 4 4 4 3 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 1 1 2 2 2 2 3 2 2 2 2 2 2 3 3 2 3 3 3 3 3 3 3 3 2 2 2 2 2 3 2 2 2 2 2 3 4 3 3 3 3 3 4 4 3 3 3 3 3 4 3 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 10 12 15 16 15 11 8 5 5 5 6 7 5 4 2 2 2 4 6 8 10 12 14 14 12 9 7 7 8 8 6 4 4 6 6 8 9 5 3 8 2 6 3 4 5 16 14 7 9 4 3 0 2 10 3 -2 -1 1 4 5 3 2 2 3 8 11 9 7 9 3 -4 -0 6 9 5 4 5 9 8 2 -0 2 5 3 -0 2 3 4 5 7 10 18 21 12 5 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 2 2 2 3 4 4 3 3 4 5 6 6 6 6 5 5 5 5 5 4 3 4 4 5 6 7 7 12 14 10 2 -9 -13 -9 -7 -5 -5 -1 5 6 7 8 6 5 3 2 1 -0 -2 -4 -5 -6 -10 -11 -8 -7 -9 -7 -1 6 9 10 8 7 3 2 4 4 4 7 8 5 5 9 12 11 9 8 9 10 9 5 3 4 4 5 6 6 4 3 2 4 5 6 7 6 5 4 4 5 6 7 6 6 6 7 9 10 10 9 8 8 7 6 6 5 3 2 2 3 4 6 7 7 7 6 5 6 7 8 7 6 5 4 5 6 6 6 5 4 4 3 2 1 1 2 2 3 4 4 3 2 2 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 nan -1 1 4 6 8 8 8 6 6 6 5 3 3 3 3 3 3 3 5 5 4 4 4 5 4 3 2 1 1 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 2 1 1 1 1 2 2 1 2 2 2 3 2 2 2 2 2 2 2 2 3 3 2 3 3 2 3 3 3 3 3 2 3 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 4 4 5 5 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 7 9 10 11 13 14 11 7 5 5 6 7 7 6 4 2 2 3 4 6 9 11 14 16 16 14 10 7 7 8 8 7 5 5 6 7 10 12 5 5 11 2 5 -2 2 -0 7 7 0 3 6 7 5 5 7 3 -0 -0 -0 4 6 3 2 1 1 5 7 3 6 11 6 -0 2 5 7 5 5 9 16 9 -1 -2 1 1 2 3 2 1 2 3 6 13 24 22 10 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 4 4 3 4 5 5 4 4 4 4 5 5 4 5 5 5 5 5 5 5 6 6 6 6 5 4 4 4 3 4 3 3 3 3 3 4 4 3 3 3 3 3 3 2 2 2 3 4 3 4 4 5 5 5 6 5 5 5 4 4 4 5 5 4 4 4 4 5 5 6 10 15 11 5 2 -5 -8 -9 -9 -10 -10 -2 3 5 6 6 5 5 3 1 -0 1 -1 -3 -3 -2 -5 -5 -1 0 -1 1 6 9 8 6 5 5 4 7 11 9 9 14 12 10 12 13 11 10 6 4 7 6 5 5 4 5 5 6 6 5 3 3 3 4 5 6 7 6 5 4 4 6 7 6 6 5 6 8 9 10 10 10 9 8 7 7 6 5 4 3 3 4 5 6 8 8 7 6 6 6 7 7 6 4 4 4 6 6 6 4 3 3 4 3 2 2 2 1 3 3 3 4 3 2 2 1 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan -2 -1 1 2 4 6 7 7 7 7 6 3 3 3 3 2 2 1 2 4 4 4 4 4 4 3 2 1 1 1 2 3 3 3 4 3 3 4 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 3 2 3 2 2 2 2 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 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 3 4 4 5 5 4 4 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 6 8 9 10 10 13 14 11 7 5 6 7 8 8 7 5 3 3 4 6 8 10 13 16 17 16 14 11 8 7 8 8 7 5 5 6 8 11 10 4 6 6 1 3 6 3 -3 -1 1 1 -3 8 15 14 10 7 5 4 0 -0 4 6 5 10 8 1 2 3 3 5 8 7 4 5 5 5 5 6 10 12 7 4 2 1 0 2 6 3 1 3 4 8 17 27 21 7 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 5 5 5 5 5 5 5 6 10 17 16 9 7 4 1 0 -2 -7 -11 -10 -6 -0 4 6 5 4 6 5 3 6 8 5 3 4 4 4 5 6 6 6 7 7 5 3 4 4 5 10 14 11 8 12 14 13 11 9 8 9 7 4 5 5 5 4 5 5 5 5 6 6 5 4 3 4 4 5 7 7 5 5 5 5 5 5 6 6 6 6 7 9 10 10 9 9 9 8 8 8 7 6 4 4 4 6 8 9 8 7 6 6 6 6 6 5 4 4 5 6 6 5 4 4 4 4 4 3 3 2 3 4 4 4 4 3 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 nan
nan nan nan nan 0 -0 -0 0 1 2 4 6 7 7 7 5 5 6 5 3 2 0 -0 1 2 3 3 4 4 3 3 2 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 3 2 2 3 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 2 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 4 3 4 4 5 4 3 3 3 3 4 4 4 4 4 5 5 5 6 5 6 6 6 7 6 6 8 11 12 11 12 14 15 11 6 4 6 7 9 9 8 6 4 4 6 8 9 11 14 16 16 15 12 10 8 7 7 6 5 5 6 6 7 7 6 4 5 2 1 6 18 11 -0 -6 -4 5 0 8 17 16 15 13 9 5 -0 2 4 5 9 14 12 5 4 2 3 5 6 5 6 6 4 3 5 8 10 7 5 9 8 3 3 4 5 4 6 7 7 11 20 28 20 7 4 4 3 3 3 3 3 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 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 4 5 4 4 5 4 4 3 3 3 3 2 3 3 3 3 3 4 3 3 3 4 4 5 5 5 5 5 5 5 4 5 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 6 6 8 14 20 20 13 7 7 7 5 2 -3 -6 -10 -9 -2 3 2 1 4 5 5 7 10 9 6 6 6 6 6 6 6 6 7 6 4 4 4 5 4 8 12 9 7 8 9 8 6 5 4 6 6 4 5 5 5 4 5 5 6 6 6 7 6 5 4 3 4 5 6 7 6 5 6 5 4 5 5 5 6 6 7 7 8 8 9 9 9 9 9 10 9 8 6 5 5 6 7 9 9 9 8 7 6 5 6 6 5 5 5 6 6 5 4 4 4 4 4 4 4 4 3 3 4 4 4 5 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 2 1 0 1 0 0 1 3 5 6 6 7 8 9 7 5 3 1 -1 -1 0 1 2 3 3 3 3 2 2 1 1 1 1 2 2 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 3 4 4 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 4 3 2 3 4 4 4 4 4 4 5 6 6 5 6 7 7 7 7 10 15 18 17 14 15 16 15 11 6 4 5 7 9 9 8 6 5 6 8 9 10 11 14 14 14 13 11 9 7 7 6 5 4 4 4 6 8 4 5 6 8 5 3 7 19 16 6 -1 -1 8 5 4 8 11 18 14 9 4 1 5 4 4 11 15 9 3 4 2 2 6 9 8 7 6 4 1 6 10 11 8 5 7 6 5 8 7 3 5 8 9 8 11 22 27 17 6 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 5 5 5 6 6 6 7 10 15 22 21 14 13 12 8 7 5 4 -1 -7 -7 -3 -3 -3 -1 0 -0 2 6 7 7 5 4 4 5 5 4 6 7 7 6 6 7 9 6 6 8 6 5 6 5 4 4 4 4 4 4 4 5 5 5 5 4 5 5 6 7 7 6 6 5 5 5 5 5 5 6 6 6 6 4 4 4 5 6 7 8 9 8 5 7 10 10 10 10 9 9 9 7 7 7 6 6 8 9 9 8 7 6 6 6 6 6 5 5 6 6 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 6 4 3 3 2 1 1 2 3 4 5 7 8 10 9 7 5 3 1 -1 -1 -1 0 1 3 3 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 4 4 5 4 4 5 5 5 5 5 4 5 5 5 5 4 3 3 2 2 3 3 3 3 3 3 3 4 4 3 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 3 3 3 4 4 4 4 5 5 4 2 2 3 4 4 4 4 5 5 5 6 6 6 6 7 8 8 11 21 32 31 24 19 17 17 14 9 6 4 5 6 8 9 9 6 6 7 9 10 10 11 12 13 12 11 9 8 7 5 4 4 4 3 2 6 9 4 2 5 11 9 6 5 12 14 8 2 8 15 10 4 1 7 16 11 7 4 3 6 4 5 10 11 3 -1 3 4 3 7 11 8 4 5 4 3 5 7 7 8 8 6 3 5 10 8 3 4 7 8 8 10 20 22 12 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 6 6 7 7 7 8 12 18 19 20 19 16 12 8 7 7 2 -3 -3 -3 -2 -0 -1 -2 0 4 6 8 6 4 5 5 5 4 6 9 11 11 9 10 12 9 5 5 5 5 4 5 4 4 4 4 3 3 3 4 5 5 5 5 4 5 6 7 7 7 7 6 6 6 5 5 5 6 6 6 5 5 4 3 4 5 6 8 10 11 8 6 10 11 11 10 9 10 9 8 8 8 7 6 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 5 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 10 9 9 8 6 5 3 2 3 3 3 3 4 7 9 9 9 7 6 4 2 -1 -1 -0 1 2 2 2 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 4 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 5 5 4 3 3 3 4 4 4 5 5 6 6 6 7 7 7 7 8 9 20 39 46 38 27 21 18 16 11 7 5 5 5 6 8 9 8 7 6 8 10 9 9 10 10 11 11 10 8 7 4 2 2 3 4 2 4 6 10 7 1 4 8 6 7 8 11 12 3 -4 9 18 13 6 1 4 8 8 9 8 5 6 4 5 8 6 2 0 4 3 3 6 8 6 5 8 7 4 4 3 2 5 8 8 7 7 10 6 3 5 8 8 7 7 14 17 14 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 4 4 3 3 4 4 5 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 4 4 4 3 3 4 4 3 3 3 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 6 7 7 6 6 9 12 15 19 20 16 12 10 11 9 7 8 5 4 6 5 3 4 7 9 9 9 11 10 8 7 5 5 12 14 12 12 11 10 7 4 4 4 4 4 4 4 5 6 5 4 3 2 3 4 5 5 5 5 5 5 5 6 7 7 7 6 6 6 5 5 5 6 7 6 5 4 4 4 4 5 6 8 9 10 8 10 11 11 10 10 10 9 9 8 7 7 6 6 6 7 8 9 9 8 8 7 7 7 7 7 7 6 5 5 4 4 4 4 4 5 5 4 4 3 3 3 4 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 8 9 9 8 6 4 3 3 3 2 3 4 5 6 8 8 8 8 8 6 4 3 3 1 1 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 5 5 5 5 6 6 7 6 5 5 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 3 3 4 4 4 4 4 5 5 4 3 3 4 4 4 4 5 6 6 6 7 7 7 7 7 9 14 29 41 34 26 20 18 17 13 8 5 4 4 5 6 7 8 7 7 7 7 8 9 8 9 9 9 9 8 7 6 2 -0 1 3 4 3 5 5 10 9 4 4 4 4 5 5 8 5 -4 -7 3 11 11 8 5 2 0 6 14 11 5 5 5 4 7 6 3 4 5 2 1 4 4 3 6 12 10 3 2 0 -1 1 6 10 12 12 12 5 3 4 6 7 6 7 11 13 18 15 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 5 4 3 3 3 3 4 4 4 4 4 4 4 5 5 6 5 5 5 4 4 4 4 4 4 4 3 3 3 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 4 5 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 6 9 13 15 14 12 14 14 16 20 17 10 9 10 9 8 9 12 11 10 14 14 10 9 6 4 9 11 9 8 8 7 4 3 3 3 3 4 5 6 7 9 9 7 4 3 4 4 5 6 6 6 6 5 5 6 6 6 6 6 6 6 5 5 5 7 7 6 5 4 4 4 4 4 5 5 6 8 8 9 10 10 10 9 9 9 9 8 7 6 6 6 7 7 8 9 10 9 8 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 4 3 3 3 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 4 4 5 5 7 7 7 5 4 3 2 2 2 3 4 5 6 7 7 7 9 9 8 8 7 5 3 2 1 1 2 3 3 3 3 3 2 2 2 2 3 2 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 5 5 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 3 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 7 7 7 7 7 7 9 13 21 28 24 13 10 11 13 14 9 5 3 3 4 4 5 6 6 6 6 5 6 6 7 7 9 9 9 8 6 5 4 1 1 3 3 5 5 5 4 3 5 11 7 5 4 4 2 3 1 -2 -1 2 7 10 13 12 5 1 5 12 10 4 3 6 8 9 6 4 8 6 5 3 2 4 2 5 9 6 1 2 1 -2 -2 3 9 13 17 15 8 4 2 1 4 7 8 8 15 24 18 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 4 3 4 5 5 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 2 2 2 2 2 2 3 4 4 4 4 4 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 5 8 10 9 10 11 11 17 21 18 12 13 13 10 9 10 10 10 11 11 10 9 7 4 5 7 6 5 6 5 4 3 2 2 3 3 5 8 11 12 13 8 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 7 7 7 6 6 5 4 4 4 5 5 5 6 7 7 8 9 9 8 7 8 9 9 9 8 6 6 6 7 8 9 10 8 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 4 4 3 2 2 2 2 3 3 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 3 3 2 2 3 4 5 6 5 4 3 2 2 3 3 4 5 6 6 6 6 7 8 9 8 7 5 3 2 1 1 2 3 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 6 6 5 4 4 5 5 6 6 6 5 5 5 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 4 4 4 3 4 4 4 4 5 6 6 5 3 4 4 4 4 4 4 5 5 6 7 7 8 7 7 8 12 17 23 22 12 7 4 6 12 13 8 5 3 3 3 3 3 4 4 4 4 4 4 4 5 7 8 9 8 6 4 3 3 4 4 5 4 6 7 6 8 2 3 11 8 8 9 4 3 3 5 6 8 6 7 12 16 16 11 5 5 8 6 1 1 5 9 9 5 3 7 8 7 6 5 8 3 4 6 4 3 3 4 2 0 3 7 12 18 13 8 4 1 -2 -0 6 7 6 20 29 14 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 3 4 4 4 4 3 4 4 4 5 5 5 4 3 3 4 4 4 4 4 4 3 3 4 5 6 6 6 6 6 4 4 4 4 3 3 3 2 2 3 3 3 4 4 3 3 3 3 3 3 3 3 2 2 3 2 3 3 4 4 5 4 4 4 4 4 4 4 4 5 4 3 3 3 3 3 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 4 5 5 5 5 5 7 11 16 15 14 13 10 8 7 6 6 6 6 6 6 6 4 4 4 4 4 5 5 4 3 2 2 2 3 6 10 13 15 13 7 4 4 3 3 3 4 5 5 6 6 6 6 6 6 6 7 6 5 4 5 5 6 7 8 8 7 5 4 4 4 5 6 5 5 5 6 7 8 8 8 7 7 8 9 10 9 8 7 7 6 8 9 9 8 7 6 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 3 3 2 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 4 3 2 2 2 3 4 5 5 4 4 3 3 2 3 3 4 5 6 6 5 5 5 5 5 6 7 6 4 3 2 1 2 2 2 2 2 2 2 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 7 6 5 4 4 4 4 5 6 6 6 6 5 5 5 4 4 4 4 3 3 2 2 2 2 2 3 3 3 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 3 3 4 5 5 5 5 5 5 6 6 7 8 8 8 11 16 20 21 16 8 11 8 6 16 16 9 5 4 4 3 3 3 3 3 3 3 3 3 3 4 6 7 8 6 3 2 2 4 6 7 10 6 3 5 8 14 8 7 4 6 11 13 5 1 2 3 9 11 8 8 9 9 9 9 7 6 6 3 -0 1 4 7 7 5 -0 0 6 4 3 6 10 6 5 4 4 5 2 7 8 6 7 6 12 18 11 6 3 -1 -3 -0 5 7 8 21 27 12 4 4 5 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 4 3 3 4 4 4 3 4 4 4 5 5 4 4 3 4 4 3 4 4 3 4 3 3 3 4 6 6 6 6 6 5 4 3 3 3 4 3 3 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 4 5 5 5 5 5 5 4 3 2 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 5 6 8 10 11 11 8 7 6 5 4 4 4 3 3 4 4 3 3 3 4 4 4 4 3 2 1 2 4 7 10 13 13 10 6 5 4 3 2 2 3 4 5 6 6 7 7 6 6 6 6 6 6 5 5 5 5 6 7 9 9 7 5 4 4 5 6 6 6 5 5 6 7 7 7 7 6 7 8 8 9 9 9 9 8 8 8 9 9 7 7 7 7 7 7 7 7 7 7 7 8 7 6 7 6 7 7 6 5 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 4 3 2 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 5 6 6 5 3 2 2 1 1 2 3 3 4 3 4 4 4 4 5 6 6 6 6 6 7 7 6 4 3 4 5 6 7 7 7 8 7 6 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 5 5 5 4 5 5 6 6 6 7 8 9 10 15 21 23 18 9 5 14 14 12 19 17 9 6 6 5 4 3 4 3 3 2 2 2 2 2 3 5 7 6 3 0 0 2 4 6 7 8 5 3 6 8 10 10 6 1 7 9 10 5 1 1 4 12 11 8 8 4 2 3 6 7 8 5 1 0 2 4 7 8 4 -2 0 6 2 -4 -1 9 11 10 4 4 3 -0 5 10 10 9 9 12 20 17 8 2 -4 -5 3 10 9 9 19 27 13 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 4 4 5 5 5 4 4 4 3 4 4 3 4 3 3 3 3 4 5 6 7 7 7 7 5 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 6 7 8 8 9 7 6 5 4 4 4 4 3 4 4 4 3 3 3 4 4 4 4 3 2 1 2 5 7 9 10 9 7 5 5 4 3 3 3 3 4 5 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 6 7 9 8 6 4 3 4 5 6 6 5 5 5 6 7 7 7 7 7 7 7 8 9 10 11 10 9 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 8 10 9 7 7 7 7 6 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 2 3 3 5 5 4 4 3 2 3 4 5 6 6 5 3 2 2 3 3 4 4 5 5 4 5 5 5 5 5 6 7 7 8 8 7 5 4 4 5 6 6 7 8 8 8 7 6 5 4 4 3 4 4 4 4 3 4 4 4 4 4 5 6 5 4 3 2 2 2 1 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 3 3 3 3 4 4 4 4 3 3 3 3 4 5 5 5 5 4 5 5 6 6 6 7 9 11 15 22 27 24 14 2 1 11 15 17 18 13 8 7 7 5 4 4 4 4 3 3 2 2 2 2 2 5 6 4 1 0 2 3 4 6 6 4 2 6 10 7 7 10 2 5 8 3 5 5 3 3 5 11 8 9 9 5 3 6 8 7 7 5 2 2 5 5 6 7 5 5 7 9 6 -6 -6 8 14 10 4 3 0 1 2 4 8 13 13 12 21 25 11 -2 -8 -4 9 13 8 7 19 27 15 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 3 4 4 3 4 3 3 3 3 3 4 4 4 4 5 5 5 4 3 3 4 3 3 4 3 3 3 4 4 4 4 5 6 8 8 7 5 4 4 4 4 3 4 4 3 3 3 3 3 3 4 4 5 6 6 7 7 7 7 6 6 5 5 5 5 4 4 5 5 4 4 4 4 4 5 6 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 6 6 6 7 7 8 7 6 6 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 6 7 6 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 7 6 6 5 4 4 4 4 5 5 4 4 6 7 7 6 4 3 3 4 5 6 6 5 5 6 6 6 7 7 7 7 6 7 8 10 12 13 12 10 8 8 9 9 8 8 7 6 6 6 7 7 7 6 6 5 5 7 10 11 9 8 9 9 8 7 7 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 3 3 3 3 4 3 4 4 5 4 4 3 3 3 3 2 2 3 5 5 5 5 5 4 3 3 4 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 6 7 8 8 7 5 4 4 4 5 6 7 8 8 8 7 6 6 6 5 4 3 3 2 2 3 3 3 4 4 4 5 6 6 6 4 3 2 2 1 1 2 2 2 2 3 3 3 3 3 4 4 4 4 3 4 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 4 5 6 6 7 7 8 10 16 26 33 30 20 9 -3 -2 10 16 14 11 8 6 7 6 5 5 4 5 5 4 3 2 2 2 3 4 5 7 4 1 2 4 4 4 5 8 9 6 1 1 5 10 9 2 7 10 -0 -1 2 3 5 3 4 6 9 11 9 7 10 12 8 5 4 3 5 7 6 4 4 8 11 7 5 6 -2 -3 12 19 5 3 4 -2 3 4 1 5 12 13 14 26 31 14 -3 -10 -2 11 13 5 6 18 29 18 4 5 5 4 4 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 4 4 3 3 3 3 4 3 3 4 4 4 3 3 3 5 7 8 8 6 6 5 4 4 4 4 4 4 3 4 4 4 4 5 5 6 6 6 7 7 7 7 6 4 4 4 4 4 4 5 5 4 4 3 3 3 5 7 8 7 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 3 4 4 4 2 2 3 3 3 4 2 1 3 5 5 7 7 8 8 7 6 7 6 5 4 3 2 4 5 5 4 4 5 6 6 6 4 3 2 4 5 5 5 5 5 5 5 6 6 7 7 7 6 7 9 12 16 16 14 9 8 8 8 8 8 7 6 6 6 7 7 7 6 5 4 4 7 9 9 8 9 9 10 10 9 9 8 5 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 5 4 3 3 3 3 4 4 5 5 4 4 3 3 2 3 3 3 4 4 5 5 5 5 4 3 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 6 8 9 8 6 4 3 3 3 5 6 6 7 7 6 6 6 7 6 5 4 2 1 1 1 2 3 3 3 4 4 5 6 6 5 5 3 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 5 5 6 6 5 5 4 5 5 7 7 7 8 10 16 27 39 37 23 9 3 -2 7 11 9 3 2 3 5 6 6 6 5 5 5 5 5 3 3 3 3 4 5 6 8 5 1 3 6 4 4 6 7 10 11 5 -0 1 6 3 -0 8 12 2 -0 2 2 9 9 4 6 7 9 10 8 10 12 10 6 1 2 5 8 5 0 0 7 9 5 4 2 1 3 17 21 3 1 5 0 3 3 -1 3 11 12 17 31 32 14 -2 -7 3 13 10 3 5 16 29 21 4 4 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 3 2 2 4 5 8 8 7 7 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 4 3 3 3 4 4 4 4 5 4 3 3 2 3 5 8 10 8 5 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 7 7 7 6 5 4 3 3 2 2 2 3 3 3 3 2 -1 2 5 6 7 7 7 8 7 7 7 7 6 5 3 2 2 3 4 4 4 4 6 7 6 4 3 3 3 4 4 4 5 5 5 4 5 5 6 6 6 6 6 7 11 17 21 20 13 8 7 8 8 7 7 6 6 6 6 7 6 5 4 4 5 6 7 7 7 8 8 9 10 11 10 9 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 5 4 4 4 3 4 4 4 5 4 5 4 3 2 3 3 3 3 3 4 4 4 5 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 3 3 4 6 8 7 6 4 3 3 3 3 4 5 6 6 6 6 6 7 8 7 5 3 2 1 1 2 2 3 4 4 4 5 5 6 6 6 5 4 3 2 2 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 6 6 7 6 5 4 4 5 7 7 8 8 10 14 23 34 40 31 14 -1 -6 2 8 3 -7 -9 -5 -0 4 6 6 6 5 5 6 6 5 5 4 4 5 6 7 7 6 3 2 4 4 4 5 7 7 5 6 10 9 6 2 -2 1 10 14 9 7 6 5 10 13 6 1 4 8 8 8 7 7 8 5 1 4 6 5 2 -3 -4 4 9 6 3 1 3 8 17 13 1 0 1 2 6 -1 -2 4 8 6 21 37 29 9 -4 -3 8 15 9 4 5 15 27 21 6 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 3 3 2 3 4 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 3 2 2 3 3 3 3 3 4 4 4 3 3 2 4 7 10 11 8 5 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 5 5 6 6 7 8 8 8 7 6 4 3 3 3 3 4 4 4 3 4 5 2 2 5 6 6 6 7 8 7 7 7 7 7 7 6 4 2 2 2 3 4 5 6 8 7 5 4 3 3 3 4 4 4 5 5 4 4 4 4 5 5 5 6 6 9 16 26 28 22 13 8 7 7 7 7 6 6 6 6 6 5 5 4 4 5 5 6 6 6 6 7 8 10 11 11 11 10 8 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 6 5 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 2 2 3 4 4 5 4 4 4 4 3 3 2 2 3 4 4 4 4 4 3 3 4 3 4 4 4 3 3 3 4 6 7 6 4 3 2 2 2 3 4 5 5 6 5 6 7 8 8 7 5 3 2 2 2 2 3 3 4 4 4 5 5 6 6 6 6 5 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 4 4 6 8 8 8 11 14 19 24 28 30 22 10 -3 -11 -8 -13 -15 -17 -14 -7 -1 3 6 6 6 6 6 6 7 6 5 5 5 6 8 8 6 3 1 2 3 2 4 5 6 8 9 5 1 1 6 5 3 6 10 14 17 15 8 7 8 10 5 1 4 6 4 5 4 3 3 2 6 11 8 3 1 -2 -2 6 12 10 8 5 3 6 10 9 5 2 -4 2 12 3 -2 3 1 4 25 39 25 5 -3 1 11 13 9 5 7 17 26 17 6 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 3 2 3 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 2 2 2 3 5 8 10 10 7 4 3 3 4 4 3 3 3 3 3 3 4 3 3 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 5 6 7 8 9 9 8 7 5 4 3 3 4 4 5 4 4 7 7 4 3 5 6 5 6 7 7 7 7 7 7 7 7 7 6 4 2 2 1 2 3 6 9 9 6 5 4 4 3 3 4 4 4 5 5 5 4 3 4 4 5 5 6 8 13 25 36 35 19 7 6 6 7 8 7 6 6 5 6 5 4 4 4 4 4 6 7 6 6 7 8 9 9 9 11 12 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 6 6 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 3 2 2 2 3 5 5 5 5 4 4 3 3 2 2 2 3 3 4 4 4 4 3 3 3 4 4 4 3 2 2 3 5 6 6 4 3 2 1 1 2 3 4 5 5 5 5 5 7 8 8 7 5 4 3 2 2 2 3 4 4 4 4 5 6 6 6 6 6 5 4 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 4 4 6 8 8 10 12 14 17 17 16 16 16 13 5 -5 -13 -17 -21 -18 -11 -8 -4 -0 3 5 6 6 6 6 7 7 6 6 5 6 7 9 9 6 2 1 1 4 2 2 2 1 4 9 5 -2 -3 3 6 8 8 8 14 19 16 9 7 9 9 4 4 6 4 4 4 3 0 -1 3 15 18 9 4 2 0 3 9 11 9 10 7 3 3 5 12 17 11 -2 1 10 8 1 0 3 16 30 29 15 2 -0 5 11 10 7 5 8 18 25 15 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 1 2 3 4 5 5 6 6 6 6 6 5 5 5 4 4 4 4 3 3 3 3 2 2 2 2 3 3 4 4 4 4 4 3 2 2 2 2 3 6 8 8 7 5 4 4 4 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 3 3 3 3 3 4 4 6 7 9 9 9 7 6 5 4 3 3 4 3 2 3 7 6 4 3 4 5 5 5 6 7 7 7 7 7 7 7 8 6 5 4 3 1 1 1 4 7 10 8 6 4 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 5 7 10 18 31 34 20 8 7 8 7 7 7 7 6 5 5 5 4 4 3 3 4 6 6 6 6 8 8 9 9 9 9 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 2 3 4 5 6 6 5 5 4 4 3 2 2 2 3 4 4 4 4 3 3 3 4 4 4 3 3 1 1 3 5 6 5 3 2 1 0 0 1 4 5 4 4 3 4 6 7 8 8 7 6 5 3 3 2 3 3 4 4 4 4 5 5 6 6 6 6 5 4 4 3 2 3 3 3 3 4 4 4 4 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 6 5 4 4 4 4 8 12 10 13 15 13 12 10 10 9 7 5 -1 -5 -10 -10 -8 -4 2 2 1 2 4 5 6 5 6 7 8 7 7 7 6 7 8 9 9 6 4 2 0 4 4 2 -2 -3 -0 -0 1 4 6 6 5 5 3 4 9 11 8 6 8 12 12 6 5 9 8 6 7 5 2 -1 5 16 16 9 5 3 -0 4 10 7 2 3 7 8 6 6 14 20 15 4 3 3 10 10 9 12 22 25 18 5 -1 2 6 9 7 5 5 9 20 27 15 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 2 2 1 2 3 4 5 5 5 5 6 5 5 4 4 3 3 3 2 3 3 3 3 2 2 3 3 4 5 5 6 5 5 5 4 4 3 2 3 4 5 6 6 5 4 4 4 4 4 4 3 2 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 6 5 6 6 6 6 6 5 4 4 3 3 3 3 3 2 2 3 3 3 5 6 8 8 9 8 7 5 4 3 3 3 2 0 1 3 5 4 4 4 4 4 5 5 6 7 7 7 7 7 7 7 7 6 5 5 3 1 -0 1 4 7 8 6 4 3 2 2 2 3 3 4 4 5 5 4 4 4 3 4 5 6 8 12 17 18 14 11 13 14 10 7 7 7 6 5 4 5 4 4 3 2 2 4 6 6 6 7 8 8 9 8 8 9 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 6 5 5 4 3 3 4 4 5 5 6 6 7 7 7 6 6 5 5 4 4 4 4 4 5 5 6 6 6 5 5 4 3 3 3 4 4 4 4 3 3 3 4 4 4 3 2 1 1 2 4 5 5 4 2 1 -0 -1 1 3 4 4 4 3 3 4 5 7 7 7 7 6 5 4 3 3 3 3 3 3 4 4 5 5 5 6 6 6 5 4 3 2 2 2 2 3 3 4 3 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 5 6 10 14 12 12 11 7 7 8 10 11 12 13 9 6 4 4 5 7 8 7 5 4 5 6 6 6 7 9 10 9 8 9 9 10 12 12 9 6 6 6 5 5 4 2 -1 -2 0 2 6 11 9 6 3 -1 -3 1 4 2 1 3 6 10 12 8 4 8 13 11 8 6 6 5 10 13 10 6 5 4 3 5 5 2 1 5 9 9 5 7 10 10 7 7 7 -0 4 17 21 19 18 14 3 -7 -2 4 6 7 6 5 5 11 22 25 12 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 4 4 5 5 5 5 5 4 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 6 6 5 4 5 5 5 5 3 3 4 5 5 5 5 3 2 2 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 6 6 7 7 6 6 6 5 4 4 4 4 4 3 3 2 2 2 2 3 4 5 7 8 8 8 7 7 5 3 3 4 3 2 2 2 2 4 5 4 4 4 4 5 6 7 7 8 7 7 7 7 7 7 6 6 4 2 -0 -0 1 4 7 7 4 2 1 1 1 2 3 3 4 5 5 4 4 4 4 4 4 5 8 9 9 9 11 14 20 24 19 10 7 6 6 5 5 5 4 3 3 2 1 2 4 6 6 6 7 7 8 8 7 8 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 5 4 4 4 3 3 4 4 4 5 7 8 9 8 8 7 6 6 6 5 5 4 3 3 4 4 5 6 6 6 6 5 5 4 4 4 4 3 3 2 3 4 5 5 4 2 2 2 4 4 4 5 5 5 3 1 -0 0 2 4 4 3 2 2 3 4 5 6 6 7 7 6 6 5 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 3 2 1 1 1 2 2 3 3 4 4 5 5 5 5 5 5 4 4 5 6 6 5 5 5 5 5 5 5 5 8 13 16 13 9 6 4 5 8 13 15 24 34 28 19 15 14 12 11 9 7 6 5 5 6 6 7 9 12 13 12 10 11 12 13 15 15 10 6 6 7 8 7 3 -1 1 3 5 8 10 10 8 4 5 -1 -4 1 4 1 1 4 3 3 7 7 3 5 15 16 11 7 8 10 14 15 10 4 4 3 4 5 2 -1 2 8 10 6 5 6 4 3 5 8 10 -0 -6 10 28 25 13 2 -11 -12 1 7 7 8 7 6 6 9 18 23 13 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 4 3 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 2 2 2 3 4 4 4 5 5 4 4 3 3 2 2 2 3 4 5 5 4 3 4 4 5 5 4 5 5 6 6 6 6 6 6 7 7 6 5 5 3 2 3 4 6 6 6 5 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 4 5 5 5 6 7 7 7 7 7 6 5 5 4 4 4 4 3 3 3 2 2 2 2 3 4 6 7 7 8 8 7 6 4 4 5 6 5 3 3 4 5 5 6 5 4 3 4 5 6 7 8 8 8 8 8 7 7 7 7 6 5 2 0 0 2 4 5 4 2 1 1 1 1 2 3 4 4 5 4 4 4 4 3 3 5 7 8 8 9 10 15 22 29 28 17 7 4 5 6 5 4 4 3 3 2 1 1 4 6 5 5 5 6 7 7 8 8 8 9 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 5 4 3 3 2 3 5 5 7 8 9 9 9 8 7 7 6 6 5 3 3 2 3 4 5 6 7 7 6 6 5 4 3 2 2 2 2 3 4 5 5 4 2 2 3 5 5 4 4 6 8 7 3 1 1 2 3 4 3 2 2 2 3 4 5 5 6 6 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 2 1 1 1 1 2 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 6 9 12 16 16 11 7 5 5 5 8 11 16 25 37 26 15 11 10 9 9 9 8 6 5 4 5 6 7 10 15 18 16 13 11 12 13 13 11 9 6 3 3 5 6 3 0 3 6 7 5 5 2 4 7 13 3 -1 6 5 3 6 7 3 2 7 7 1 2 9 16 13 8 8 11 12 16 15 6 3 1 3 4 3 2 8 15 11 8 9 3 -2 4 11 13 12 4 -6 9 32 23 7 -7 -14 -3 7 8 9 9 6 5 7 7 14 23 19 7 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 6 5 5 5 5 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 3 2 2 2 2 4 6 7 7 6 4 4 5 5 5 4 4 4 4 4 4 4 4 6 8 9 8 6 5 3 2 4 5 6 6 5 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 4 5 6 6 7 7 8 7 6 6 5 4 4 5 5 4 3 3 2 2 2 2 3 4 4 6 6 6 7 7 7 5 5 6 7 6 4 5 7 6 6 7 6 4 4 4 4 5 6 7 7 7 8 9 8 8 8 8 8 7 5 2 1 1 2 4 4 3 2 2 1 1 2 2 3 4 4 4 5 4 4 3 3 4 5 6 8 8 8 11 17 23 25 18 8 5 6 7 6 5 5 4 3 3 2 2 3 5 5 4 4 5 6 7 7 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 6 6 6 6 5 4 3 2 2 2 3 5 7 8 10 10 9 8 7 7 6 5 4 3 2 2 2 3 5 6 7 7 6 5 4 3 2 2 2 3 4 4 5 5 4 3 3 4 6 7 6 4 6 8 8 6 3 2 2 2 3 3 3 2 2 3 3 4 4 5 5 6 6 7 7 7 6 5 4 4 5 5 4 4 4 4 4 5 6 6 6 5 3 2 1 1 1 2 2 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 9 14 16 15 11 7 6 5 4 5 8 9 10 15 13 3 -2 -1 1 4 8 9 7 5 4 4 5 6 7 9 15 20 20 14 10 10 11 10 6 6 8 7 4 2 2 6 8 7 6 5 -1 -2 1 7 13 18 5 3 8 4 4 8 8 2 4 7 5 3 2 5 13 13 7 9 15 11 9 10 4 3 4 6 5 4 5 10 13 12 11 8 1 1 6 12 15 12 12 7 20 33 18 -2 -17 -8 14 16 13 13 11 6 4 5 7 14 24 21 8 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 2 2 3 5 7 8 7 6 5 4 4 5 4 3 3 3 3 3 2 3 3 4 6 8 8 7 5 4 3 4 5 6 5 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 7 6 5 5 5 5 4 4 3 3 3 2 2 2 3 4 5 5 6 6 6 6 5 5 7 8 6 4 4 6 6 8 9 7 4 4 4 4 4 5 5 6 6 6 8 8 9 9 9 9 9 8 6 4 2 2 4 5 5 4 2 2 2 2 2 2 3 4 4 4 4 4 4 4 3 3 4 5 6 7 8 10 15 18 13 8 7 6 7 6 6 6 6 5 5 4 3 4 5 5 5 4 5 6 7 7 7 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 7 7 7 7 6 5 5 4 2 2 1 2 4 6 8 9 9 9 8 7 6 6 5 4 3 3 2 2 4 5 6 7 7 5 5 3 3 3 3 3 3 4 4 5 5 5 5 6 7 7 5 4 5 6 8 8 6 4 2 3 4 4 4 2 1 2 3 3 3 3 4 4 5 5 6 7 6 5 5 5 5 6 6 6 5 5 5 6 6 7 8 7 6 5 3 2 2 2 2 2 3 3 2 2 3 3 3 4 4 5 5 4 4 5 5 5 6 10 15 15 10 7 6 6 5 3 4 6 6 5 4 -6 -10 -8 -3 3 8 10 8 6 5 5 5 6 6 6 8 12 19 21 15 9 7 7 9 3 4 6 6 7 5 2 4 8 7 6 4 -2 -1 3 5 15 11 1 6 6 3 6 13 9 1 -0 2 5 8 7 6 10 9 4 9 16 14 5 3 -1 5 11 8 6 3 4 1 1 7 9 4 3 7 9 10 5 7 17 17 29 28 12 -12 -21 4 30 29 22 18 11 7 5 5 6 13 23 22 10 4 4 5 5 5 4 4 4 4 4 4 4 4 5 4 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 2 2 3 5 6 7 6 6 4 4 4 3 3 3 3 2 3 3 2 2 2 2 3 5 6 5 4 3 3 4 4 4 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 6 6 6 6 6 7 6 5 5 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 6 7 9 7 4 3 3 6 10 10 7 5 4 3 4 3 3 3 4 4 4 5 6 7 8 9 10 10 10 9 7 4 3 3 5 5 5 3 3 3 3 3 2 1 2 3 4 4 4 4 3 3 3 3 4 4 6 7 7 10 12 10 8 8 6 6 6 7 7 8 8 7 6 4 5 5 5 5 5 5 6 7 7 7 7 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 6 6 6 6 7 7 6 6 4 3 2 1 2 3 4 6 7 8 8 7 7 6 5 5 5 4 3 2 2 3 5 5 6 6 5 4 3 3 3 3 4 4 4 5 6 7 8 8 7 6 4 3 3 4 6 8 8 6 4 4 5 5 4 3 2 2 2 3 3 3 3 3 4 4 4 5 5 5 5 5 6 7 8 6 6 6 6 7 8 8 8 8 8 7 6 4 3 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 5 6 6 6 7 7 13 15 9 6 6 6 5 4 6 6 7 7 4 -4 -3 1 6 9 10 10 8 6 6 6 7 7 8 7 7 9 16 22 17 10 5 5 5 4 3 2 1 8 12 7 3 4 5 7 5 3 5 1 2 8 -0 2 12 9 3 10 21 13 3 -0 -0 8 15 11 7 8 5 4 9 11 9 8 5 -1 5 15 11 6 1 -3 -6 -1 7 6 1 4 9 8 7 2 6 16 25 34 23 5 -12 -10 14 31 30 24 16 9 7 6 5 5 10 20 24 13 4 5 5 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 5 5 5 5 6 6 6 5 5 4 4 4 4 5 4 3 3 3 3 3 3 3 4 4 4 4 3 3 2 2 4 5 5 6 6 6 5 4 3 3 3 2 3 3 3 3 3 2 2 2 2 2 3 3 3 2 3 4 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 5 6 6 6 6 7 7 7 7 7 6 6 6 7 9 10 9 8 7 6 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 6 7 8 6 4 5 8 10 10 9 6 4 4 3 2 2 2 2 2 3 3 4 5 6 7 8 10 10 10 9 7 5 4 4 5 5 5 4 4 4 3 3 2 2 2 3 4 3 3 3 3 3 3 3 4 5 6 7 7 8 8 8 7 6 5 5 6 8 11 11 9 7 6 5 5 5 4 5 6 6 7 6 6 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 5 5 6 6 6 7 7 8 7 6 4 2 1 2 2 3 4 6 7 7 7 7 7 7 6 6 4 3 3 2 2 3 5 5 5 4 4 3 3 4 4 4 5 6 8 9 10 8 5 4 2 1 2 2 4 6 8 7 7 6 6 6 5 4 2 2 2 3 2 3 3 2 3 3 3 3 4 4 5 5 6 7 8 7 6 5 6 7 8 9 9 9 8 8 7 6 4 3 3 2 2 2 2 3 3 3 4 4 4 4 4 4 5 6 6 6 7 7 12 16 12 8 5 5 5 7 9 6 9 13 9 4 6 8 9 10 9 8 7 7 7 6 8 11 12 10 8 9 15 20 17 9 4 4 2 5 8 6 4 6 5 6 6 6 6 5 6 9 10 6 7 3 -3 2 6 6 2 10 17 8 7 8 5 9 11 9 9 7 7 11 12 5 2 9 7 4 5 12 11 6 4 -2 -3 3 6 -2 -3 3 7 4 1 1 5 12 31 35 18 2 -6 3 16 22 22 16 10 6 6 6 5 5 10 22 27 14 4 5 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 5 5 4 3 3 2 3 4 6 5 5 8 8 6 5 4 3 3 3 4 4 4 4 4 4 3 3 3 2 2 2 2 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 9 12 11 11 10 9 7 5 5 5 5 4 4 5 5 5 6 5 5 5 6 5 5 5 6 7 9 11 13 12 11 9 7 5 4 3 3 2 2 2 2 2 2 3 3 4 5 6 8 9 10 10 9 7 5 4 5 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 7 7 7 7 7 6 6 5 5 5 7 12 14 13 10 8 6 5 4 4 5 5 5 7 7 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 4 4 4 5 5 6 7 7 8 9 8 7 4 3 2 3 3 3 4 5 6 7 8 9 9 8 8 7 6 4 3 2 3 3 4 5 4 3 3 3 4 5 6 6 8 9 9 8 6 3 2 2 1 1 1 2 5 6 8 8 6 5 6 6 5 4 3 3 3 2 2 2 3 2 3 3 3 3 3 4 5 6 6 6 6 5 5 5 6 7 8 9 8 8 8 7 7 6 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 6 7 8 11 18 18 10 5 5 7 9 6 5 11 11 5 4 6 7 7 7 7 7 8 7 6 6 9 15 16 12 10 10 12 14 13 10 9 8 3 5 10 6 6 0 -1 4 7 6 5 2 5 12 12 7 8 11 11 7 -2 -2 -1 6 4 0 8 12 10 10 9 15 14 7 9 16 16 7 3 7 5 5 8 11 8 5 2 -0 8 17 10 -4 -5 2 2 -3 -1 3 5 8 28 30 15 3 2 11 15 16 14 9 6 4 4 4 4 5 12 22 18 6 4 6 5 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 4 3 3 3 4 6 6 6 5 3 3 3 5 6 6 4 6 11 11 8 6 5 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 9 9 8 10 12 11 10 9 8 6 4 5 6 6 5 4 5 7 7 7 7 7 6 6 5 4 3 5 8 13 17 17 14 10 8 7 6 4 4 3 3 2 2 2 2 2 3 2 3 3 4 6 7 9 10 10 9 7 5 5 5 6 6 5 5 5 5 5 4 3 3 3 3 2 2 2 3 3 4 4 4 4 6 7 8 8 7 7 6 6 5 5 7 11 16 18 15 12 8 5 4 4 4 4 5 6 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 3 3 4 3 4 5 6 7 9 9 10 9 7 5 3 4 4 4 4 4 5 6 9 10 10 9 9 9 8 7 5 3 3 3 4 4 4 3 3 4 6 7 7 8 9 9 8 6 4 2 1 1 2 2 2 2 3 5 6 7 5 5 5 6 6 5 4 3 3 2 2 2 2 2 2 3 3 3 3 4 4 4 5 4 4 4 3 3 4 6 7 7 8 8 7 7 6 6 6 6 6 5 4 4 4 5 4 4 4 4 4 4 5 5 6 7 7 7 9 13 22 21 11 6 7 10 9 2 2 7 5 2 3 5 5 6 7 7 7 7 6 5 6 11 17 16 13 10 8 7 9 10 12 13 11 5 1 1 -0 -1 -1 2 7 7 6 5 2 4 8 9 9 8 14 19 12 1 -3 -4 1 -1 2 6 7 7 12 15 21 13 5 10 16 15 9 4 3 1 1 9 12 7 0 -3 0 13 27 13 -3 -3 1 -5 -7 3 8 5 9 21 23 15 8 9 14 15 13 10 7 4 5 4 3 3 5 10 12 6 3 10 13 8 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 5 4 4 4 3 4 5 6 6 6 5 4 4 5 6 6 5 4 6 10 12 10 7 5 5 5 5 5 7 7 6 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 9 11 12 11 13 14 11 8 7 6 5 4 4 6 6 5 5 6 8 10 10 10 9 8 6 5 4 4 4 8 14 19 18 14 10 9 8 6 5 4 4 3 2 2 2 2 2 3 3 3 3 3 3 5 6 8 10 10 9 7 6 5 5 5 6 5 5 5 4 4 3 3 3 3 2 2 2 2 3 4 4 4 4 5 6 8 9 8 8 7 7 6 6 6 9 14 19 21 17 11 5 4 3 3 3 4 5 6 7 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 3 4 3 3 4 5 6 8 8 9 9 8 6 4 4 4 4 4 4 5 6 8 10 10 9 8 8 9 9 8 6 5 4 4 4 4 3 4 5 7 7 8 9 9 8 7 4 3 2 2 2 2 2 2 3 3 4 4 5 5 4 5 5 6 5 4 4 3 3 3 2 2 3 2 2 2 3 3 3 4 4 4 4 3 3 3 2 3 4 6 7 7 7 6 6 6 6 7 7 7 6 5 5 5 5 5 5 4 4 4 4 4 5 7 8 8 8 9 15 24 20 10 7 10 11 11 6 6 4 5 4 5 5 5 6 6 6 6 6 5 4 8 14 13 12 13 10 6 6 9 10 11 14 13 7 0 -1 3 2 4 7 11 7 5 5 6 6 7 11 8 3 9 13 7 3 -2 -5 -0 2 3 5 3 1 5 12 11 5 6 13 15 11 7 6 9 8 4 5 9 9 4 0 -1 10 21 9 0 1 1 -1 1 6 7 5 10 15 16 14 13 14 14 13 10 8 6 4 5 5 3 2 4 7 6 5 7 14 21 15 6 6 6 5 5 4 5 4 4 4 5 4 4 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 4 4 4 5 5 6 6 7 6 7 7 6 5 5 4 4 3 4 5 5 6 6 5 5 5 5 6 5 4 4 5 7 10 10 7 6 6 6 6 6 7 7 7 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 6 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 6 6 7 8 10 12 14 15 16 17 15 9 7 6 6 5 4 5 6 6 5 5 7 10 11 13 12 11 9 7 5 5 4 4 6 11 14 13 11 10 9 9 7 5 6 7 5 3 2 2 2 2 2 3 3 3 3 3 3 4 5 8 9 10 9 8 7 6 5 5 5 4 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 7 9 9 8 8 7 7 7 8 11 16 21 21 14 7 4 2 2 2 3 3 5 6 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 4 4 4 4 4 4 5 6 7 8 8 8 6 4 4 3 3 4 5 6 7 8 8 9 8 6 6 8 8 8 8 6 5 5 4 4 4 4 6 7 8 8 9 8 7 6 4 3 2 2 2 2 3 3 3 3 3 4 4 4 5 5 5 5 4 5 5 4 3 3 3 3 3 3 2 2 3 3 3 3 3 4 4 3 3 2 2 3 3 4 5 6 6 6 5 6 6 7 7 8 6 6 6 6 5 5 5 4 4 5 4 5 7 8 9 8 9 11 18 24 18 9 8 11 12 13 14 17 11 9 7 6 4 4 5 6 6 6 5 5 7 13 14 8 10 14 10 8 10 14 14 11 11 10 9 7 7 8 11 10 7 8 9 4 2 8 8 11 16 2 -3 10 11 2 2 -0 -0 5 6 6 9 6 1 -1 2 -3 2 10 15 12 7 4 8 14 16 14 11 10 12 9 2 -2 2 9 8 8 10 5 6 9 8 8 11 12 12 10 12 15 15 13 11 8 6 5 4 5 4 1 1 4 6 6 5 8 14 24 19 7 6 6 5 5 4 5 5 4 4 4 4 4 5 5 4 5 5 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 5 5 5 5 5 6 7 7 7 7 6 5 4 4 4 3 3 4 5 5 5 6 6 5 5 5 4 3 4 5 5 7 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 9 12 15 17 18 20 20 14 9 7 7 7 7 7 7 6 5 4 6 8 10 11 12 13 11 9 7 5 5 4 4 4 5 7 9 8 8 7 8 7 6 8 12 12 8 4 2 2 2 2 2 3 3 3 3 3 3 4 6 7 9 10 9 7 6 5 4 5 4 3 2 1 2 4 4 5 5 4 3 3 4 4 5 5 5 4 4 5 7 7 8 8 9 8 7 7 8 9 10 14 17 14 8 5 3 1 1 1 2 3 5 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 5 5 5 5 4 5 6 6 7 7 5 4 3 3 3 4 6 7 7 7 8 8 7 5 4 6 7 8 8 7 5 4 4 4 4 5 6 7 8 8 8 7 6 5 4 3 2 2 3 3 3 4 3 3 3 3 4 4 5 5 5 4 5 6 6 5 4 3 3 2 3 3 2 3 3 3 3 4 3 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 6 7 7 6 6 6 6 6 5 5 5 5 5 6 7 9 10 9 9 10 14 21 23 16 8 7 9 11 12 14 12 9 7 6 4 4 4 5 5 6 6 5 7 11 15 11 8 10 9 10 13 16 20 18 10 5 3 4 8 11 11 5 3 3 7 8 4 1 6 8 11 15 2 1 8 3 -1 3 4 6 10 8 9 10 6 4 3 -0 -1 7 12 11 7 3 2 4 9 12 14 14 12 10 7 4 -0 -7 -1 6 12 16 10 5 5 6 10 13 12 7 5 11 17 15 12 9 8 7 5 5 6 4 0 -0 4 7 6 6 8 14 23 20 9 6 6 5 5 5 5 5 4 4 4 4 4 5 4 5 5 4 4 4 3 4 3 3 3 4 4 3 4 5 5 5 4 5 5 5 5 6 6 6 7 7 7 6 5 4 3 3 3 3 3 3 4 4 5 7 6 5 3 2 3 4 4 4 5 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 5 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 8 9 12 17 19 21 22 22 20 15 11 9 9 8 7 8 7 5 4 3 6 8 9 10 10 11 10 8 7 6 6 5 5 4 3 4 6 6 6 6 5 5 7 11 17 19 16 9 5 4 3 2 3 3 3 4 4 4 4 4 4 6 8 9 10 9 8 7 5 4 3 3 3 2 3 5 7 7 6 5 4 3 4 5 5 4 5 5 4 4 6 7 7 8 8 8 8 8 8 8 8 9 10 10 7 5 3 2 2 1 0 2 3 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 6 7 7 7 6 6 5 5 6 6 6 5 4 3 2 3 5 7 8 8 7 8 8 8 6 4 4 6 8 8 7 6 5 4 4 4 5 6 7 8 7 6 6 6 5 4 4 4 4 5 5 4 4 4 4 3 3 4 4 5 5 5 4 5 6 7 7 6 4 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 3 3 3 4 4 4 5 5 4 4 4 5 6 6 6 5 6 6 6 5 5 5 5 6 7 9 10 9 8 9 14 20 26 24 14 7 5 6 9 7 4 1 2 2 3 3 3 4 4 5 6 7 6 9 14 13 7 7 7 6 10 14 16 19 15 7 3 1 0 7 9 9 4 3 4 7 7 4 2 3 9 9 6 -1 4 2 -3 1 6 6 9 11 9 9 7 4 4 5 8 13 12 9 5 1 1 2 -0 1 5 10 13 10 4 -0 5 5 -6 -5 4 12 15 9 2 6 11 13 11 6 0 2 13 18 15 11 8 7 7 6 6 6 3 -0 0 4 7 6 6 7 14 23 22 11 5 5 6 6 6 5 5 4 4 4 4 4 4 5 5 5 4 4 4 3 4 3 3 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 6 5 4 3 3 3 3 3 3 3 3 4 5 7 7 5 2 2 2 3 4 4 5 6 6 6 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 5 5 6 6 7 7 7 7 7 8 10 12 16 23 25 20 18 21 20 16 12 10 9 8 7 8 8 5 2 3 5 6 7 8 9 9 9 8 8 7 7 6 6 5 5 5 5 6 7 6 4 4 5 10 18 23 21 14 7 4 3 3 2 3 3 3 4 5 5 4 4 4 5 8 10 11 10 9 7 5 4 4 3 3 4 6 8 9 9 5 3 3 4 5 5 5 5 5 5 4 4 6 7 6 6 8 8 8 8 8 8 8 7 8 7 5 2 2 4 3 2 2 3 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 6 6 6 7 8 8 9 8 7 6 6 6 6 5 5 4 3 3 3 5 7 8 8 7 6 7 8 8 6 4 5 7 8 7 5 5 4 4 5 5 6 7 7 6 6 6 5 5 5 6 6 6 5 5 5 5 6 5 4 4 4 4 4 4 5 5 6 7 8 8 7 5 3 4 3 4 3 3 3 3 3 3 3 4 4 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 8 10 11 10 6 7 13 20 28 30 21 10 5 2 -0 5 2 -1 0 1 0 0 1 2 3 5 6 7 7 7 9 13 11 8 8 6 6 6 7 10 12 8 7 8 5 5 7 7 12 13 9 5 5 6 5 4 4 10 9 -4 -7 2 1 2 6 8 7 8 8 8 8 7 4 3 5 13 20 14 7 3 -4 -1 -1 -2 1 4 8 13 10 1 -2 9 13 4 -0 7 11 9 5 6 15 18 13 6 0 -2 6 14 14 12 9 7 7 8 7 6 6 3 1 2 5 6 6 5 7 16 26 23 10 4 5 5 6 6 5 5 5 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 3 3 3 3 4 4 4 3 3 5 6 6 4 3 3 2 3 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 5 5 4 4 5 5 5 6 5 5 5 6 7 7 7 7 8 10 13 14 19 25 24 17 15 19 19 15 11 9 8 8 7 8 9 6 0 2 4 6 7 7 8 9 10 10 10 10 10 9 8 7 7 7 7 6 7 7 5 5 5 6 12 21 24 19 11 4 2 2 3 2 2 3 4 4 5 5 4 4 4 6 8 10 11 10 8 7 5 4 4 5 5 6 7 8 8 5 3 3 3 4 5 5 5 5 5 4 4 4 5 5 5 6 7 8 9 9 8 8 7 7 7 7 4 3 5 5 4 3 3 3 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 6 6 6 7 7 8 9 8 8 7 7 6 6 5 5 4 4 4 5 7 8 8 7 6 6 8 8 6 4 4 6 7 6 5 4 3 4 4 5 6 6 6 6 6 6 5 6 6 6 6 7 6 6 6 6 7 6 4 4 3 3 3 4 5 6 6 8 9 9 7 6 5 4 4 4 4 4 4 3 3 2 3 3 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 9 11 12 10 6 6 12 22 29 34 28 15 7 2 -4 -6 -0 -1 -2 1 2 -0 -2 -1 0 2 4 6 7 7 7 8 10 12 12 11 8 6 5 2 3 6 5 6 12 10 10 5 9 13 11 10 8 4 4 3 5 10 12 7 -5 -3 3 1 6 8 7 6 6 7 7 6 6 5 4 7 15 21 15 10 6 -4 -4 -5 1 8 8 7 9 6 0 1 8 10 9 8 10 10 4 0 6 12 11 11 5 -2 4 17 16 9 9 8 7 7 8 7 6 6 4 4 5 5 5 4 4 11 23 29 18 7 4 5 5 6 6 5 5 5 4 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 5 5 5 4 4 4 4 5 4 4 3 3 4 3 4 4 5 5 5 4 4 4 5 5 5 6 6 5 5 5 5 5 5 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 8 11 13 15 16 19 24 22 16 14 15 14 12 9 7 6 6 6 7 9 5 0 2 5 7 7 7 8 9 10 11 12 13 12 12 11 10 10 9 7 6 6 6 6 6 6 4 6 12 19 20 14 8 5 3 3 2 2 3 4 4 4 5 5 4 4 4 6 8 10 10 9 8 7 6 5 5 6 6 6 5 4 4 3 2 2 3 4 5 5 5 4 4 4 4 5 5 4 4 6 7 9 9 9 8 8 8 8 6 5 4 3 4 4 3 3 3 3 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 6 5 5 6 7 7 7 8 8 7 7 7 7 7 7 6 5 5 6 7 8 7 6 6 8 9 7 4 4 5 5 5 4 3 3 3 3 4 5 5 6 6 5 5 5 5 5 5 6 7 7 8 7 8 7 6 5 4 3 3 4 4 4 5 7 8 9 8 7 6 5 4 5 5 5 4 4 4 3 2 3 4 5 5 4 4 4 4 3 4 4 4 3 3 3 3 4 4 4 3 4 4 5 5 5 5 6 8 11 13 12 7 4 11 23 30 30 27 19 11 5 0 -6 -5 -3 -3 -0 2 1 -2 -3 -2 -0 2 3 6 6 6 6 7 10 14 17 15 9 8 9 5 2 5 5 6 10 12 7 2 12 8 6 7 9 6 3 2 4 9 8 2 4 9 8 2 3 6 4 3 4 7 7 7 7 6 6 9 12 13 12 13 11 4 1 -5 3 12 14 10 5 0 -2 1 -0 -1 7 10 10 11 4 -0 1 5 7 8 1 -0 17 27 18 8 8 10 9 9 9 8 7 6 5 5 6 6 4 3 5 16 30 25 10 4 4 5 6 6 6 6 5 5 4 4 5 5 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 2 3 4 5 6 6 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 5 5 5 5 6 5 6 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 10 14 16 16 16 17 20 19 14 12 11 9 8 7 5 3 3 5 8 10 6 2 3 5 6 6 6 6 7 8 9 10 11 11 11 11 11 10 8 7 7 8 9 5 4 7 5 4 6 10 14 13 11 9 6 5 5 4 4 4 4 4 5 5 5 4 4 4 6 8 10 9 8 7 6 6 6 7 7 5 4 3 3 3 2 2 3 3 4 5 4 4 4 4 4 4 5 4 4 4 5 7 9 10 9 9 8 8 6 4 2 1 2 3 3 3 4 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 5 6 6 5 5 6 6 6 7 7 7 7 8 8 9 10 10 8 6 7 7 7 7 7 7 10 12 11 7 4 4 5 5 5 5 5 4 4 3 4 5 5 5 4 4 4 4 4 4 6 7 8 10 10 9 7 6 5 4 4 4 4 4 5 5 6 7 8 7 7 6 5 5 4 5 5 4 4 3 2 3 4 5 6 6 5 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 4 4 5 4 5 7 10 13 13 8 4 8 20 28 30 23 13 6 3 4 7 6 6 2 1 2 1 -2 -5 -4 -2 0 2 3 4 5 6 8 10 13 18 20 15 9 12 14 10 5 7 6 5 5 6 4 8 10 6 5 6 11 7 3 1 3 3 1 4 12 15 7 7 4 7 5 3 4 6 7 7 6 6 8 11 9 4 5 8 9 11 3 1 8 13 17 13 5 -2 -1 5 6 3 5 6 10 10 6 3 -2 4 20 12 2 10 24 25 14 7 7 11 11 10 10 10 9 7 5 4 5 5 3 3 7 21 30 20 6 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 4 5 5 4 4 5 5 4 4 5 4 4 4 4 5 4 4 5 5 5 4 3 3 3 3 2 2 3 4 5 5 5 5 5 4 3 3 2 2 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 10 14 17 18 17 15 14 15 14 11 10 9 8 7 6 4 3 3 5 7 10 9 5 5 5 5 5 5 6 6 7 6 5 6 6 6 6 7 7 6 6 7 8 11 7 2 6 7 6 6 6 7 9 9 9 10 10 9 9 8 6 4 3 4 5 5 4 4 4 5 7 8 9 9 7 6 6 6 7 7 6 5 4 4 4 4 4 4 4 4 4 5 4 3 3 3 4 5 5 4 3 3 5 6 8 9 10 9 8 8 5 3 2 3 4 2 2 4 3 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 6 5 6 6 6 6 6 6 6 7 7 6 6 7 10 13 13 12 9 8 7 6 6 6 7 10 14 15 10 6 5 5 6 6 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 6 7 9 11 10 8 6 6 5 4 4 5 5 5 5 5 5 6 7 6 6 6 5 4 4 5 5 4 4 3 3 3 4 6 7 6 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 3 6 8 12 14 11 5 6 14 20 23 25 20 9 -2 1 12 19 19 17 9 4 0 -3 -6 -5 -3 -0 2 3 3 4 5 7 11 15 18 18 18 13 10 14 14 10 8 7 6 5 4 2 7 16 10 6 -0 1 5 3 -1 1 6 6 3 6 8 8 2 8 11 8 7 5 5 5 5 5 5 7 10 12 8 4 6 5 3 8 -1 2 7 10 11 7 4 4 5 10 11 9 11 5 4 9 11 6 3 9 18 12 12 21 22 16 9 7 7 10 10 9 10 10 9 7 5 3 4 4 4 3 10 24 28 16 5 4 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 5 4 3 3 3 3 3 2 2 3 4 4 4 4 4 4 4 3 3 3 4 4 5 4 4 4 4 5 4 5 5 4 4 5 5 5 5 6 6 7 6 6 6 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 5 5 5 6 7 9 13 17 19 19 20 18 12 9 9 9 7 7 8 7 6 6 6 6 7 7 8 9 7 5 4 5 5 5 5 5 7 7 4 3 2 1 1 0 1 4 5 7 9 8 7 5 6 7 7 6 6 7 7 8 8 9 10 12 16 16 12 5 3 4 5 5 5 4 4 4 5 6 7 8 7 6 6 6 5 6 6 6 6 6 5 5 5 5 4 4 4 5 4 4 4 3 4 4 4 4 3 3 2 3 4 7 9 9 10 10 10 8 7 6 5 4 4 3 3 2 1 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 5 5 6 6 6 6 6 7 7 8 8 7 6 5 7 11 14 13 10 8 7 6 5 4 5 8 13 16 14 8 6 6 7 7 8 8 7 7 6 6 5 5 4 3 3 3 3 4 4 5 7 9 10 9 6 5 5 5 4 4 4 4 4 4 4 5 5 6 5 5 4 4 4 4 4 4 3 3 3 3 4 5 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 4 4 3 3 4 4 3 5 8 12 15 14 9 6 11 13 13 15 21 22 13 6 7 13 19 19 15 7 -1 -7 -9 -7 -4 -1 2 4 5 5 5 7 12 17 18 17 14 14 17 14 12 10 10 9 8 8 8 6 5 8 5 -1 0 -2 1 0 -1 -2 2 9 9 4 3 2 3 5 5 6 4 3 4 5 5 3 3 4 5 9 12 11 10 10 4 2 5 0 2 -3 1 6 3 4 7 9 12 8 4 8 6 1 8 15 8 7 14 7 5 17 20 15 9 7 8 9 9 8 7 7 9 9 8 6 4 3 4 4 5 11 24 26 13 4 5 6 6 6 7 6 5 5 4 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 3 3 3 3 3 2 3 3 4 5 4 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 6 6 6 6 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 7 8 11 15 18 18 17 19 22 16 8 8 6 6 7 7 6 6 9 11 9 8 8 8 9 9 5 4 5 5 5 5 4 5 7 7 5 3 3 3 1 -1 1 4 7 9 7 6 7 7 7 7 7 7 7 8 8 9 9 9 12 19 24 19 10 4 3 4 5 5 5 5 4 5 5 6 7 7 6 5 5 5 5 6 6 6 6 6 6 6 5 4 3 4 4 4 4 4 4 3 4 4 4 4 3 2 1 2 3 5 7 9 10 12 13 14 11 8 6 4 2 2 1 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 4 4 5 6 5 5 5 6 7 8 10 11 10 8 5 5 8 10 11 9 8 7 6 5 4 5 6 10 14 14 11 7 7 8 8 8 8 8 7 7 7 7 6 5 4 3 3 3 4 4 5 7 9 9 7 5 4 4 4 3 3 3 4 4 3 4 4 4 4 5 4 4 3 3 4 3 2 2 2 2 2 4 5 6 6 6 6 5 5 4 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 9 14 18 19 15 8 4 9 10 8 12 17 17 13 16 13 9 7 6 2 -4 -10 -13 -10 -5 -1 1 4 6 7 8 10 14 18 17 14 11 10 12 19 14 8 11 12 11 11 11 8 4 5 3 -5 1 7 4 5 4 5 4 5 11 6 2 2 1 2 4 0 -1 -1 -1 2 4 4 3 3 6 5 5 8 11 13 10 5 3 2 7 12 6 2 3 2 5 8 10 10 6 4 6 7 3 12 16 5 4 8 4 8 21 19 11 6 8 10 9 8 7 7 6 5 7 9 8 6 5 6 6 6 11 23 26 13 5 6 7 6 6 7 6 5 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 5 5 4 4 4 3 3 3 3 3 3 3 4 4 5 4 3 3 3 3 3 3 4 5 6 6 6 5 4 4 4 3 4 4 4 3 4 4 5 5 6 6 6 6 6 6 5 6 6 6 5 5 5 5 5 5 5 4 5 5 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 6 8 13 16 17 16 13 12 17 17 10 8 6 6 6 7 4 3 11 17 13 9 8 9 11 9 4 4 4 4 4 4 4 4 5 6 7 7 6 6 4 2 2 4 5 6 7 6 8 7 7 7 7 7 7 8 9 9 7 7 10 16 23 24 17 9 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 7 6 6 7 6 5 5 5 5 4 4 5 4 4 3 3 3 3 4 4 2 1 1 2 3 4 6 7 8 11 15 15 13 10 6 3 2 2 1 0 1 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 5 5 6 6 8 10 13 13 11 7 5 5 6 7 7 6 6 6 5 5 5 6 9 12 15 13 9 7 8 9 8 7 7 7 8 8 8 9 8 7 6 5 5 4 4 5 7 8 7 6 4 3 2 2 2 2 3 3 3 3 3 3 4 3 4 3 3 3 3 3 3 2 1 1 1 2 3 4 5 6 6 5 6 5 4 4 3 2 2 2 2 2 2 2 3 3 4 4 4 5 9 15 20 18 15 11 4 -0 7 10 6 9 11 9 9 13 7 -0 -8 -9 -11 -14 -15 -11 -6 -1 1 3 6 7 9 14 18 21 20 13 8 6 5 7 11 8 4 12 14 14 13 11 7 7 9 4 3 10 13 7 3 5 11 9 6 13 5 -0 1 3 1 -3 -5 -1 1 1 3 4 3 4 5 9 7 4 6 10 13 11 6 3 2 7 15 20 13 1 -2 6 12 7 2 3 7 8 4 6 19 15 3 5 13 12 13 19 17 10 7 10 10 9 7 7 8 6 4 5 7 8 8 7 8 7 7 11 22 27 15 6 7 7 6 6 6 6 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 4 3 3 3 3 3 4 5 5 4 4 4 3 3 3 4 4 5 6 6 6 6 5 4 3 4 4 4 3 4 4 4 4 5 5 6 6 5 6 6 5 5 5 5 5 5 4 4 5 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 6 9 13 15 15 15 12 6 7 11 9 7 6 6 6 5 0 -2 6 17 17 10 7 8 10 7 5 4 3 4 4 4 4 4 4 4 6 7 7 7 5 4 5 4 3 4 5 6 6 7 7 7 7 7 7 8 8 8 7 7 8 11 15 20 21 16 10 6 5 4 3 4 5 5 4 4 4 5 5 5 5 5 5 4 6 7 7 6 6 5 5 6 5 5 5 4 4 5 4 3 3 3 3 4 3 2 1 1 2 2 2 3 4 5 7 10 13 14 13 10 6 5 4 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 5 4 4 4 5 5 5 6 6 6 7 9 11 13 13 10 7 5 5 5 5 5 5 5 5 5 5 5 7 11 14 14 11 8 7 8 8 7 6 6 7 8 9 10 11 11 10 9 7 6 6 5 7 7 7 5 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 1 2 3 3 4 5 5 6 5 4 4 3 3 2 2 2 2 2 2 3 3 4 4 6 12 19 22 18 11 7 5 2 1 7 9 5 2 -1 -1 5 -1 -15 -20 -19 -16 -16 -14 -11 -6 -2 1 2 5 7 9 13 20 24 23 18 11 7 5 5 4 4 3 1 10 13 12 14 11 7 11 13 8 8 8 6 7 6 7 10 9 7 15 6 -3 1 7 4 -2 -2 3 4 5 7 5 2 4 6 8 6 3 7 10 9 8 6 4 5 5 6 11 8 2 2 5 10 2 -5 -0 9 12 11 13 15 9 10 16 22 26 22 16 13 9 9 10 9 9 9 8 7 5 3 3 4 6 8 8 9 7 7 13 25 26 15 7 8 7 6 6 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 5 5 5 5 4 4 3 3 3 4 5 5 6 6 6 5 5 4 4 4 3 3 3 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 6 9 12 14 14 14 12 7 4 6 7 7 6 6 5 4 -0 -5 -0 10 15 10 5 6 7 6 5 4 3 3 4 4 4 4 4 5 5 6 7 7 7 6 6 5 4 4 4 5 5 6 6 7 7 7 6 6 7 7 7 7 8 8 9 11 15 18 17 13 11 8 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 5 5 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 1 2 3 3 4 6 8 10 11 10 9 8 7 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 5 5 4 4 5 5 5 6 6 7 9 12 13 12 10 7 5 4 3 4 4 4 4 4 4 5 6 9 13 15 12 9 8 7 8 7 5 5 6 7 8 9 11 12 12 11 9 8 7 7 7 7 6 5 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 2 1 1 1 2 2 2 4 5 6 5 4 4 3 3 3 3 2 2 2 2 3 4 4 5 12 22 26 20 9 3 1 2 3 3 6 11 10 2 -7 -9 -9 -21 -27 -25 -16 -12 -10 -7 -4 -2 0 2 4 6 8 13 19 23 20 16 12 11 10 9 8 7 5 5 1 4 9 11 16 12 6 7 9 3 9 15 10 8 6 7 6 7 11 15 10 -1 3 7 6 5 7 8 6 7 9 6 3 7 10 7 6 1 7 10 6 3 4 6 6 3 6 6 -3 -1 6 6 9 1 -9 -3 7 17 21 20 13 10 17 23 23 23 19 14 10 8 7 7 9 10 9 8 7 5 3 3 3 5 7 8 8 7 8 17 26 23 12 7 8 7 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 3 4 4 4 5 4 4 5 6 5 5 5 5 5 4 5 4 4 4 4 4 3 4 5 6 6 5 5 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 4 3 3 3 3 4 4 5 5 4 4 5 5 6 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 9 12 12 13 14 12 8 6 6 6 6 5 5 5 4 3 -1 -1 5 9 8 5 3 4 6 5 5 4 3 3 4 4 4 4 4 5 5 5 6 6 7 7 7 6 5 4 5 5 5 6 6 6 7 6 5 5 5 6 6 7 7 7 8 9 12 15 17 17 14 10 7 5 5 5 5 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 2 2 2 2 2 3 3 5 6 7 8 8 9 8 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 5 4 4 5 5 5 5 5 6 8 11 13 14 12 9 6 4 3 3 3 3 4 4 4 4 5 7 11 14 13 10 9 8 8 7 6 6 7 7 6 7 8 9 10 10 9 9 8 7 7 6 6 5 5 5 5 4 3 3 4 4 5 5 4 5 4 4 4 4 4 4 5 6 6 6 5 4 2 1 1 2 2 2 3 5 6 6 5 4 4 3 4 3 3 2 3 3 4 4 5 10 17 19 17 12 4 -1 -0 2 3 1 7 18 19 12 0 -6 -13 -21 -19 -12 -4 -2 -1 -1 -0 0 1 3 6 8 12 18 21 17 12 10 11 14 15 13 10 10 11 9 3 -3 4 11 12 7 5 6 7 5 11 12 7 4 3 6 5 5 12 9 10 3 3 5 6 7 8 7 6 7 7 3 4 9 11 9 5 1 7 7 3 1 0 4 5 4 10 10 -7 -9 6 15 18 6 -8 -5 5 15 19 20 19 18 20 19 16 13 11 11 9 6 5 6 9 10 9 8 7 4 3 3 4 5 5 6 6 6 8 17 23 19 10 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 5 5 6 7 6 5 4 5 5 5 4 4 4 3 3 3 3 4 6 7 6 5 4 4 4 4 3 3 4 5 5 6 6 5 5 5 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 7 10 12 12 14 13 10 7 6 7 6 5 5 5 5 5 5 4 3 4 6 5 2 1 5 6 6 5 4 4 4 4 4 4 4 3 3 4 5 5 6 5 6 7 7 6 6 5 5 5 5 6 6 6 6 5 4 3 4 4 5 6 7 7 8 8 9 13 17 18 17 14 10 7 6 6 5 4 4 4 5 5 5 6 6 5 5 5 5 4 5 5 5 6 6 5 5 5 5 6 6 6 5 4 4 4 4 4 4 3 3 3 2 2 3 3 3 4 4 5 7 8 8 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 5 5 5 5 5 5 5 5 5 5 6 8 11 13 14 12 9 6 4 3 3 3 4 4 4 3 4 5 7 10 11 10 10 10 9 9 8 8 7 6 5 5 4 5 6 6 7 7 7 7 7 6 6 6 7 6 6 5 5 5 4 5 5 5 6 7 6 7 6 6 5 5 6 7 7 8 8 8 7 6 5 5 5 4 4 5 6 7 7 6 5 4 4 4 3 3 3 4 4 5 10 18 19 12 8 6 1 -1 3 5 3 0 14 20 25 22 9 2 0 -3 -2 3 3 2 1 0 0 1 3 5 6 10 17 20 17 13 11 10 11 14 16 15 12 13 13 11 5 -1 3 9 5 3 4 7 6 6 4 1 0 3 5 9 7 4 7 -0 2 7 3 5 8 9 8 5 6 7 4 1 3 5 5 8 6 6 8 5 7 5 2 2 4 5 10 5 -8 -8 7 18 18 7 -2 -2 5 10 13 16 19 18 17 14 10 9 9 9 6 4 4 6 7 8 8 8 7 5 3 3 4 5 5 4 4 5 8 13 18 20 16 9 7 7 6 6 5 5 5 6 6 5 5 5 4 5 5 5 5 4 3 3 4 4 4 5 5 5 6 7 7 6 5 5 5 4 4 4 3 3 3 2 3 4 5 7 7 6 4 4 4 4 3 3 3 4 5 6 6 5 5 5 5 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 5 6 6 6 6 5 5 5 5 6 5 5 5 5 6 7 10 11 13 16 14 9 7 6 6 6 6 6 5 5 5 5 6 6 5 5 2 -1 -0 5 6 6 6 5 5 5 5 5 4 4 4 3 4 4 5 5 5 5 5 6 6 6 6 5 6 6 6 6 6 6 5 4 3 2 3 4 4 5 6 7 7 7 9 12 16 18 18 16 12 10 8 6 6 5 5 5 5 5 5 6 6 5 4 4 4 3 4 5 6 5 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 3 3 2 2 3 3 4 5 6 6 6 6 7 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 7 6 6 5 4 3 4 5 4 4 7 11 13 14 12 9 6 4 3 4 5 5 5 4 3 4 5 6 8 9 10 11 11 10 8 7 6 5 4 3 4 4 4 4 5 5 6 7 6 6 7 7 7 7 7 6 5 5 5 5 5 5 6 7 7 8 8 7 6 5 5 6 7 8 9 10 10 9 9 9 7 5 5 5 6 7 8 7 6 6 6 5 5 4 4 4 6 11 18 20 15 8 4 -0 -2 2 7 8 3 2 17 14 22 25 7 -3 -3 -4 -1 2 1 0 -1 -2 0 2 5 6 8 13 20 19 14 13 14 12 8 8 12 12 12 14 14 13 8 3 7 12 9 4 3 5 -1 1 2 2 4 9 11 9 4 4 6 -2 -1 7 3 4 9 11 10 8 8 8 5 4 2 -1 1 7 10 12 7 8 13 11 6 4 4 8 13 7 -5 -2 6 11 7 4 4 4 6 7 10 14 15 13 12 11 9 8 9 7 5 4 6 7 6 5 7 9 8 7 4 2 3 4 4 3 4 5 8 11 15 22 23 13 6 7 7 6 5 5 5 6 5 5 5 4 5 5 5 5 5 4 3 3 3 4 4 4 5 5 6 7 6 5 5 5 5 4 4 3 2 1 2 2 3 5 7 7 6 4 4 4 4 4 3 3 3 4 5 6 6 5 5 5 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 7 10 12 11 16 17 10 6 6 6 7 7 6 6 5 5 6 6 5 6 5 0 -4 0 5 6 6 6 6 6 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 6 6 6 6 6 5 5 4 3 3 3 4 4 5 5 6 7 7 9 11 14 16 17 17 15 12 10 9 8 7 6 6 5 4 5 5 4 4 3 3 3 3 4 5 5 5 5 5 6 6 6 7 6 6 5 5 5 5 5 5 6 5 5 3 2 2 2 3 3 4 5 5 5 5 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 13 12 12 11 10 10 8 6 4 5 5 4 2 4 7 11 14 15 13 9 7 5 4 4 5 5 4 4 3 4 5 5 7 10 10 10 9 7 5 5 4 3 4 4 4 4 4 4 4 4 5 6 5 6 6 6 6 5 5 5 5 5 5 5 6 6 7 7 8 8 8 7 6 6 6 5 6 7 7 8 9 9 8 7 6 5 5 5 7 9 8 8 7 7 6 5 5 4 6 11 16 15 8 4 1 -2 -2 2 8 11 8 2 -2 -3 2 8 13 -6 -17 -19 -16 -10 -5 -3 -2 -2 -0 2 4 6 9 13 18 21 16 11 13 16 14 7 4 6 8 11 12 13 12 9 6 10 18 16 6 2 2 -2 2 7 7 4 10 11 6 6 9 9 5 6 8 5 3 6 6 6 8 9 7 8 9 4 -0 5 10 10 10 7 13 11 6 5 5 8 17 25 18 6 6 6 4 -1 3 8 7 7 7 10 12 11 10 9 8 7 7 8 7 5 6 6 7 6 6 8 10 10 8 5 2 1 3 4 4 5 7 9 10 14 24 27 14 5 6 7 7 6 5 6 6 6 5 5 4 5 6 6 6 5 4 4 4 4 4 4 4 4 5 6 7 6 5 5 5 5 4 3 2 2 1 2 3 4 6 7 7 5 3 4 4 5 4 4 3 3 4 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 7 8 11 13 8 9 14 10 7 6 6 7 6 6 5 4 4 5 6 6 6 6 3 -2 1 6 6 6 7 7 7 7 8 7 7 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 6 6 6 6 4 3 4 4 4 4 5 5 5 6 7 8 10 11 13 16 16 16 15 14 13 10 8 9 9 7 5 5 4 4 3 4 3 3 4 4 5 6 6 6 5 5 6 7 6 6 6 6 6 6 6 6 6 6 6 5 2 2 2 1 2 3 4 4 4 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 16 16 16 16 16 16 15 13 9 6 8 7 4 2 2 5 9 13 15 16 14 11 8 6 4 4 5 5 4 4 3 4 4 5 7 8 8 7 6 4 4 4 5 5 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 7 7 7 8 8 8 8 7 6 5 5 4 4 4 5 6 6 6 6 6 6 6 6 7 9 9 9 8 7 6 6 6 5 6 9 9 1 -5 -6 -8 -5 5 11 13 12 9 3 -8 -19 -3 3 -4 -14 -18 -17 -13 -8 -3 -1 1 2 4 6 7 12 21 25 24 19 11 5 8 13 12 6 2 4 7 9 8 11 12 13 12 11 11 9 7 6 3 2 2 5 5 4 7 5 2 9 12 10 11 13 10 6 5 6 5 3 3 6 6 9 11 6 7 12 12 9 11 14 14 5 2 4 7 14 23 27 20 12 8 4 0 0 4 5 9 13 14 13 11 8 7 6 5 5 8 9 8 6 5 5 6 7 7 8 10 10 9 7 4 1 1 3 4 5 7 8 10 17 28 27 13 4 5 7 7 6 5 6 6 5 5 5 5 6 6 6 6 5 4 4 4 4 4 4 3 4 5 6 6 5 5 5 5 4 3 2 2 3 2 3 3 5 6 6 5 5 4 4 5 5 5 4 3 3 4 5 5 6 6 5 5 4 4 4 3 3 3 3 3 4 4 4 4 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 5 5 5 6 6 8 10 13 16 10 5 8 9 7 6 6 6 5 5 4 4 4 6 7 7 6 6 5 3 4 6 6 6 7 7 7 8 8 8 8 7 6 6 5 5 5 5 5 4 4 4 5 5 5 5 6 6 6 6 7 7 6 6 6 5 5 5 5 4 4 4 4 4 4 5 6 7 8 10 12 13 14 15 15 14 13 13 17 20 18 13 7 5 4 4 4 4 4 3 4 5 6 6 5 5 5 6 6 6 6 7 7 6 6 6 7 7 6 6 6 5 3 2 1 0 1 2 3 4 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 17 17 17 18 19 19 18 16 13 11 10 10 7 3 1 3 6 10 14 16 16 15 13 9 6 5 4 4 5 5 4 4 4 4 5 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 7 7 7 8 8 8 7 7 6 5 4 4 3 4 4 5 5 6 6 7 7 7 7 8 8 10 10 8 6 6 6 7 8 7 4 -0 -4 -5 -5 -5 4 13 12 11 8 6 4 -4 -8 2 9 1 1 0 1 2 3 4 5 5 7 8 9 12 21 30 31 25 15 7 3 5 8 8 5 2 3 4 6 7 10 11 15 15 10 5 3 7 8 5 4 2 1 4 9 7 1 -0 6 7 8 12 13 9 7 8 8 4 2 3 5 6 8 9 8 12 15 13 17 25 21 9 4 7 6 5 13 15 13 11 9 5 0 0 7 6 2 10 21 23 16 9 5 3 2 3 5 8 9 8 6 4 4 5 7 8 7 8 8 9 8 5 3 1 1 2 4 5 7 11 19 25 21 14 8 5 6 6 6 6 5 5 4 5 5 6 7 7 7 6 5 4 4 4 4 4 3 3 4 5 5 5 5 5 5 5 4 3 3 3 3 4 4 4 4 5 6 5 5 6 6 6 5 4 4 3 3 4 5 5 6 6 5 5 4 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 8 11 15 18 15 7 5 7 7 7 7 5 5 5 5 5 7 7 7 7 6 4 3 4 6 6 6 7 6 7 8 9 9 9 8 8 7 7 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 6 6 6 6 5 5 5 5 4 4 4 5 4 5 6 7 8 9 10 11 12 12 11 13 20 29 33 26 14 6 5 6 5 5 4 4 3 4 5 6 5 5 5 5 5 5 6 8 8 7 6 5 6 6 7 7 7 7 6 4 3 2 2 2 2 2 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 13 14 14 15 17 18 18 18 16 14 13 13 11 6 2 2 4 6 10 14 15 16 16 13 9 6 5 5 5 5 4 4 4 5 5 5 5 6 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 6 6 7 8 9 8 7 6 6 5 5 5 5 5 5 6 6 7 7 7 7 8 8 8 9 10 9 8 6 6 6 10 12 10 5 1 0 2 3 4 9 10 7 5 3 5 7 5 3 7 12 11 15 14 12 11 10 9 9 10 10 10 11 16 21 22 21 19 13 6 2 5 7 7 6 5 5 5 4 5 10 11 10 9 10 9 5 7 4 2 4 4 2 4 9 3 1 4 4 4 7 10 9 5 7 13 13 6 2 5 7 8 9 7 8 12 15 17 24 31 24 9 7 11 8 3 5 0 2 7 5 0 -2 4 9 4 4 14 20 18 12 6 3 2 3 4 5 7 8 7 5 4 3 5 7 7 6 6 6 5 7 7 5 2 -0 1 2 4 7 9 13 15 17 19 15 8 6 5 5 5 4 4 4 4 5 6 8 8 7 5 4 5 6 6 6 5 3 3 3 5 5 4 4 5 6 5 4 3 3 3 4 4 4 4 4 5 6 6 7 7 6 6 5 4 4 4 3 4 4 5 6 6 5 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 6 9 12 14 18 17 8 5 6 7 7 7 6 6 5 6 8 8 7 6 6 4 1 3 5 6 7 7 6 6 7 8 8 9 9 8 8 8 8 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 7 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 6 6 7 8 9 9 9 9 14 24 34 36 25 12 6 4 5 5 5 4 3 3 4 5 5 5 5 5 4 4 5 9 10 8 6 5 5 6 7 7 8 8 8 7 6 5 4 4 4 4 4 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 10 10 11 12 14 15 16 18 17 15 15 14 10 5 2 2 4 6 10 12 14 16 15 12 9 7 6 5 5 5 5 5 5 5 6 5 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 6 6 5 4 4 4 4 4 4 4 4 5 6 7 8 9 9 8 7 7 6 6 6 6 6 7 7 7 8 7 7 8 8 7 8 9 10 9 8 7 6 7 7 4 2 2 2 3 4 4 5 6 8 5 -1 4 13 14 11 5 5 9 10 13 16 15 15 14 12 12 12 11 11 13 15 13 11 12 16 13 3 2 6 9 11 10 8 8 7 4 5 8 11 7 6 11 11 9 9 3 1 4 5 7 10 11 3 2 5 3 4 6 8 5 1 5 15 14 8 6 8 8 9 8 4 4 10 15 20 21 19 16 10 9 9 7 7 2 -3 5 8 5 -3 -5 4 9 6 7 12 11 8 5 2 4 7 8 7 6 7 7 6 5 3 3 5 7 7 6 5 3 3 4 6 6 5 2 1 2 4 6 6 6 9 14 18 16 15 13 7 4 5 4 4 4 5 5 6 7 7 6 5 4 5 6 7 7 6 4 4 4 5 5 5 5 6 6 5 4 3 3 3 4 4 5 4 4 5 7 8 8 7 6 5 4 4 4 3 3 4 5 5 6 6 5 4 4 3 3 3 3 3 4 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 6 7 10 13 14 15 13 8 6 7 6 6 6 7 7 6 8 9 7 6 5 4 2 1 3 6 6 6 7 6 7 7 8 8 9 9 9 8 9 9 8 8 8 7 7 7 7 7 6 6 6 5 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 5 5 5 5 4 4 4 5 4 5 5 6 7 7 8 8 8 12 21 34 35 22 10 4 4 4 5 5 4 3 4 5 4 4 5 5 4 4 5 7 9 8 6 4 5 5 6 7 7 7 8 8 8 8 7 8 7 6 6 5 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 8 9 9 10 11 13 15 15 14 15 16 14 9 5 3 3 3 6 8 11 14 15 13 11 9 7 6 6 6 6 5 5 5 6 6 7 7 7 6 5 5 5 5 6 6 7 7 9 8 8 8 7 6 6 5 5 4 4 5 5 4 4 4 4 5 5 6 7 8 9 9 8 8 7 7 8 8 9 9 8 8 7 7 8 8 8 7 7 8 10 10 9 7 6 7 4 -2 -2 2 3 3 4 4 4 7 11 4 -2 10 24 23 11 7 11 14 14 17 19 19 18 17 15 14 12 11 13 15 12 8 9 13 16 12 4 3 5 9 13 14 13 11 7 4 6 6 7 5 9 12 10 11 10 6 6 8 6 7 11 10 6 5 4 6 5 6 8 4 0 8 17 12 6 10 11 9 10 7 0 1 6 13 19 15 8 8 7 6 8 8 8 -1 6 13 8 0 -7 -7 3 12 12 11 8 6 5 2 2 8 13 13 9 7 8 7 5 4 3 3 5 6 7 6 4 4 3 2 2 5 7 6 4 4 5 5 4 4 7 9 11 15 21 20 10 5 5 4 3 4 5 5 5 6 6 5 4 4 5 6 8 8 7 6 5 6 6 6 6 5 6 6 4 4 3 3 4 4 3 4 6 7 7 9 9 8 7 6 4 4 3 3 3 3 4 5 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 4 3 4 4 4 3 4 4 5 5 7 10 14 16 15 12 8 7 7 6 6 6 6 6 8 9 8 5 4 4 2 -1 0 4 7 7 7 7 7 7 8 8 8 8 8 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 6 5 5 5 6 6 7 7 7 7 7 7 6 6 6 6 5 5 6 5 5 5 5 5 6 6 7 7 7 7 10 18 29 30 21 14 10 7 5 6 5 4 4 4 5 4 4 4 4 5 5 5 6 6 5 4 4 6 7 7 7 7 7 7 8 8 9 8 7 7 7 6 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 7 7 8 9 11 11 11 11 12 14 15 12 9 7 5 4 4 5 7 10 13 12 11 9 8 8 7 7 7 6 5 5 5 6 6 7 8 8 7 6 6 6 7 7 7 8 9 9 8 8 7 6 5 5 5 5 5 5 5 4 4 4 4 4 5 6 7 7 8 8 7 7 7 8 10 12 12 10 8 6 6 7 8 8 8 7 7 8 10 11 10 8 6 6 5 4 3 3 3 4 5 5 4 8 9 1 -2 12 30 35 27 19 17 12 13 18 19 18 18 17 15 13 12 13 14 13 7 5 7 10 12 10 8 8 8 10 12 15 14 11 5 4 7 6 3 3 9 9 8 8 7 9 12 12 7 7 7 6 6 5 9 11 7 10 8 5 5 13 18 13 10 13 10 9 8 3 0 2 5 13 20 16 9 8 6 5 9 10 6 1 17 17 4 -3 -9 -4 6 15 18 14 7 5 5 3 5 12 16 15 11 8 7 7 5 4 3 4 5 5 6 6 4 5 6 5 3 4 6 9 9 8 6 4 3 4 6 7 7 13 20 18 9 10 12 6 3 4 5 5 5 5 5 5 5 4 5 6 7 8 8 7 7 7 7 6 6 6 5 5 4 4 3 4 5 5 3 5 9 11 11 10 9 8 7 6 5 4 3 3 3 4 4 5 6 6 6 6 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 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 4 5 5 6 10 15 17 16 14 9 6 7 6 7 7 6 7 8 8 6 4 4 4 2 -4 -1 5 6 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 10 9 10 10 9 9 9 8 8 6 6 5 5 5 5 6 7 7 8 7 7 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 9 17 23 24 25 23 18 12 7 5 6 5 4 4 4 4 4 5 5 4 4 4 4 3 3 4 6 7 8 8 7 7 7 6 5 6 7 6 6 6 7 7 7 7 7 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 12 10 8 8 16 18 18 15 13 12 13 6 8 17 17 15 15 15 10 5 5 7 13 18 19 14 6 3 5 10 12 12 12 12 13 14 14 16 16 14 13 14 16 16 14 13 14 13 10 10 12 13 13 13 14 16 17 17 12 8 7 8 8 10 12 10 8 9 11 13 14 13 12 11 10 9 9 10 11 12 14 14 12 10 8 7 7 7 7 8 10 12 12 11 12 11 11 11 12 12 12 12 12 13 13 13 13 13 13 14 14 13 12 12 11 10 10 10 11 11 12 12 12 12 12 12 13 15 16 13 11 12 13 13 14 14 13 12 11 12 14 16 16 16 15 12 13 15 13 12 11 11 11 11 12 13 15 15 14 13 13 13 12 12 13 12 12 12 12 12 11 11 11 13 14 15 14 13 10 6 5 8 13 17 14 13 14 15 17 18 18 17 16 16 17 17 17 16 17 18 19 21 22 23 21 18 15 13 13 13 13 14 15 17 18 19 21 21 20 20 19 19 19 19 20 20 18 16 14 15 16 17 18 17 17 17 17 17 18 17 16 16 18 19 18 17 14 13 13 14 14 14 13 13 13 13 13 13 13 13 14 14 15 15 14 13 13 13 12 11 12 12 12 12 13 14 13 13 13 12 11 11 10 11 11 11 11 11 11 10 10 10 9 9 9 11 13 15 16 16 13 10 10 10 9 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 12 12 12 11 11 10 9 10 10 11 10 10 11 12 12 13 13 13 12 12 11 11 11 11 12 12 12 12 12 13 13 13 13 12 12 14 15 15 12 13 16 16 12 9 5 2 2 7 13 14 13 11 10 11 12 13 14 14 14 15 16 18 20 24 25 23 22 21 19 18 16 15 15 16 16 16 17 17 16 16 15 13 12 11 10 10 9 10 11 12 12 12 11 11 11 11 11 13 13 13 11 11 11 12 13 13 14 14 13 14 15 15 14 14 13 13 14 15 20 23 21 13 7 10 13 15 14 13 13 14 15 14 13 12 13 15 15 15 15 15 15 16 15 15 13 13 13 13 13 12 12 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 10 7 3 11 18 18 13 11 11 15 14 8 7 8 13 17 15 10 7 7 9 11 12 12 12 12 11 11 14 15 11 10 12 15 19 16 12 11 12 13 14 15 15 15 16 16 19 21 20 14 9 7 6 7 10 12 11 8 8 10 13 16 16 14 12 12 13 13 13 13 14 16 17 16 14 11 8 6 6 7 9 11 12 12 11 10 10 11 11 11 11 12 13 13 12 13 13 13 13 13 13 13 13 12 12 11 10 9 10 11 12 12 11 12 12 13 12 12 13 14 14 12 12 12 14 16 15 12 12 13 13 14 15 16 15 13 12 14 15 14 13 12 11 11 11 12 13 15 14 14 13 12 12 12 12 12 12 12 12 12 12 11 11 12 13 14 14 14 12 10 5 2 4 14 20 17 16 14 15 18 19 18 17 17 17 17 16 16 17 19 21 20 22 22 22 21 19 16 13 14 14 16 17 17 18 18 18 18 18 19 18 17 16 15 16 18 18 18 16 15 15 16 16 18 20 18 17 16 15 15 13 12 8 6 9 12 15 16 15 15 14 14 13 14 14 13 13 13 13 14 15 15 15 15 15 14 13 12 12 12 12 12 12 13 12 14 15 14 13 13 12 11 11 11 11 11 11 11 11 11 11 10 9 9 11 12 15 17 17 15 12 9 7 7 8 8 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 10 9 10 10 11 11 10 10 11 12 13 14 15 14 12 10 10 10 11 11 12 12 12 12 13 12 12 13 13 13 13 13 14 14 15 15 15 11 6 3 2 5 8 13 15 14 12 10 10 11 13 14 14 13 14 15 16 18 22 26 25 21 19 18 18 18 16 15 16 16 15 15 15 14 13 13 12 11 11 10 11 11 12 12 13 12 11 11 11 12 11 11 11 13 13 12 10 10 11 14 15 15 13 13 13 13 14 15 15 15 14 14 13 15 18 21 19 12 8 10 12 14 14 13 13 14 14 14 13 13 13 14 14 15 16 16 16 16 16 15 13 13 13 13 13 13 14 15 15 nan
nan nan nan nan nan 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 10 9 15 14 11 6 6 9 12 13 11 9 11 12 11 13 13 12 11 11 12 12 11 9 10 13 16 18 15 10 10 11 14 16 17 17 17 16 18 22 23 20 14 9 7 6 7 12 13 11 10 10 11 14 18 19 16 14 13 13 13 13 13 14 15 16 18 16 13 9 6 5 6 10 12 12 11 10 10 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 13 13 13 11 10 10 10 13 14 13 12 12 11 12 12 13 12 12 13 14 13 13 14 15 14 13 13 13 14 14 15 13 13 13 13 14 14 15 14 14 14 12 12 12 11 12 13 13 13 13 13 13 13 13 12 13 13 12 12 12 12 12 13 13 13 13 13 13 12 10 8 8 14 15 13 13 17 21 22 21 19 18 18 17 17 16 16 18 20 20 19 20 22 23 23 21 18 16 17 18 20 21 20 19 19 17 17 17 17 18 17 16 15 15 16 18 18 18 17 16 15 14 16 18 17 15 13 12 11 12 11 9 7 7 10 13 15 16 15 15 15 15 15 15 15 14 13 13 14 15 14 15 15 15 14 14 13 12 12 12 13 12 13 12 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 12 14 16 17 16 13 9 8 7 7 8 9 9 10 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 9 10 10 11 11 11 12 11 10 10 11 11 11 10 10 10 11 13 14 14 14 12 11 10 9 10 10 11 11 12 12 13 13 13 13 13 13 13 13 15 16 16 16 16 13 8 6 6 10 13 15 15 14 12 12 11 11 13 14 14 14 14 15 15 17 19 23 24 21 19 17 17 17 15 14 15 16 16 16 15 13 12 11 10 10 10 9 10 12 13 13 12 11 11 11 11 12 12 13 12 12 13 13 10 10 11 14 15 15 14 13 12 13 12 13 14 15 15 15 15 16 15 16 21 18 12 11 10 11 10 13 13 13 13 13 13 14 14 14 15 15 14 14 15 15 15 15 14 13 12 11 11 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 12 15 13 11 12 12 11 10 11 11 12 12 12 11 13 13 12 14 16 15 11 10 11 10 11 13 14 15 15 14 14 17 18 16 13 10 9 9 10 12 10 9 9 10 12 15 17 18 16 15 14 13 12 11 11 11 12 14 16 15 12 9 5 4 6 9 11 10 10 10 11 11 11 12 11 11 12 13 13 13 13 13 13 12 12 13 13 13 12 11 11 11 12 14 15 14 13 13 12 11 11 12 12 14 13 12 12 12 13 15 14 14 13 14 15 15 14 12 11 11 14 16 15 14 14 14 13 13 13 12 12 12 12 13 14 14 13 12 13 13 13 13 13 13 13 12 12 13 13 14 14 13 13 13 13 14 12 12 12 9 4 4 19 30 27 24 22 22 21 20 18 18 18 20 22 22 23 24 26 26 25 23 21 22 22 24 27 27 24 20 19 17 16 16 16 16 15 15 15 14 13 14 15 16 16 16 15 14 15 17 16 15 14 13 12 13 14 13 12 10 9 9 11 12 14 15 15 15 14 14 15 14 13 14 13 13 13 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 11 11 12 12 11 11 11 11 11 11 12 11 11 12 13 15 17 18 16 13 10 7 7 8 10 11 11 11 10 10 9 9 8 8 9 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 10 10 11 12 13 14 14 13 12 10 10 10 10 10 11 11 12 13 13 13 14 14 13 13 13 15 18 18 16 14 12 12 10 8 10 14 15 15 14 12 12 12 13 13 13 14 14 14 15 14 15 17 20 25 25 22 19 17 16 14 13 13 14 15 14 13 13 12 10 9 9 10 10 11 12 12 12 12 12 11 11 11 11 12 13 13 14 15 14 13 11 10 12 14 15 15 13 12 12 13 13 13 14 14 14 14 15 17 16 16 19 19 16 13 10 9 11 14 14 13 12 12 12 14 15 13 13 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 11 14 14 12 12 13 14 13 13 13 14 13 11 12 12 11 10 10 12 12 13 13 12 11 11 11 11 11 13 14 13 11 9 7 6 7 11 14 16 16 15 16 14 12 12 10 10 10 11 13 14 14 12 10 7 4 5 9 11 11 11 13 13 12 11 10 10 11 11 12 13 13 13 13 13 13 12 12 12 12 12 11 11 12 14 14 15 15 14 14 13 11 11 12 14 15 14 12 12 12 13 13 14 15 15 14 14 13 13 12 13 14 14 14 15 15 14 14 13 13 13 12 13 13 12 13 14 14 13 13 13 13 14 14 13 13 14 12 12 13 13 14 14 14 14 14 13 13 13 13 12 5 -6 -10 10 33 38 36 32 30 29 28 26 26 25 26 27 28 29 29 28 27 24 22 21 21 20 22 29 35 29 21 19 16 13 14 13 14 14 15 15 14 13 12 11 12 13 14 15 15 14 14 13 13 13 13 12 11 11 11 10 10 10 9 9 10 12 14 14 15 14 13 14 14 14 13 14 14 14 13 14 14 14 13 13 13 13 13 13 13 13 13 12 11 12 12 12 12 12 12 13 13 13 14 15 15 15 16 17 18 17 15 12 9 8 8 9 10 11 12 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 11 12 11 10 9 9 11 11 13 14 14 13 13 12 11 11 10 9 9 11 12 13 14 13 14 15 15 13 13 13 15 17 15 11 9 9 10 10 10 11 13 14 14 13 13 13 13 13 14 14 15 15 14 14 15 16 17 22 26 27 25 19 15 14 13 12 13 14 13 12 12 10 9 9 8 9 10 11 11 11 11 11 12 12 11 12 13 13 13 13 13 13 13 14 13 12 12 13 14 14 12 11 12 13 13 13 13 14 14 14 14 14 14 15 17 19 19 17 13 12 11 12 14 14 14 13 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 6 6 8 10 11 11 9 13 14 10 6 3 3 6 10 13 15 17 20 24 28 30 30 29 28 27 26 23 22 20 19 17 15 13 12 11 12 12 11 11 10 10 8 8 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 2 1 0 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 5 6 8 6 6 5 4 4 4 5 6 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 38 67 76 59 32 14 12 21 38 66 96 116 124 125 120 114 108 103 98 93 79 59 42 29 18 8 1 0 1 2 4 2 1 1 0 0 0 2 1 1 4 5 2 4 8 12 13 11 16 28 46 69 92 107 101 94 98 109 118 116 105 100 113 115 96 84 109 142 150 147 141 129 118 108 86 62 52 44 32 34 55 70 67 57 56 69 85 99 114 132 146 144 131 114 107 108 91 48 32 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 6 6 7 9 10 9 14 16 14 9 2 0 3 8 12 14 16 18 20 24 27 28 29 28 28 25 24 22 22 20 18 16 13 12 11 11 10 9 8 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 4 3 3 4 3 2 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 5 5 6 6 6 5 4 4 5 7 7 8 12 10 10 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 17 44 70 70 48 24 7 2 4 8 24 55 82 102 113 113 108 102 98 93 89 83 70 57 44 31 18 5 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 4 8 8 2 2 4 16 43 65 95 110 105 103 111 117 118 118 122 131 133 130 138 159 177 184 181 168 147 134 124 103 80 67 60 60 72 83 85 79 64 51 48 56 73 95 119 138 140 127 107 98 96 78 42 18 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 7 6 6 7 8 8 10 14 15 13 7 2 4 9 14 16 18 20 20 21 23 25 26 26 26 24 22 21 20 20 18 17 15 14 12 10 9 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 3 2 2 2 3 4 4 5 5 6 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 6 6 6 5 6 7 8 8 8 8 12 15 14 10 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 1 3 8 19 45 66 58 36 17 4 0 0 1 5 21 45 72 95 106 108 102 96 92 89 86 79 70 60 50 39 26 15 7 3 1 0 0 0 0 0 0 3 6 7 3 1 0 5 4 5 3 1 0 1 6 31 58 90 115 117 112 112 115 116 118 122 127 128 131 141 152 164 180 183 173 159 149 145 132 106 80 74 86 92 91 88 82 70 56 46 43 55 77 102 122 130 122 103 88 82 69 39 15 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 nan 6 5 7 9 7 6 6 6 7 9 12 13 12 9 8 9 13 16 19 20 21 22 23 24 25 24 24 23 20 18 17 17 16 16 15 14 12 10 10 10 9 7 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 2 1 1 1 2 2 2 3 4 4 4 3 2 2 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 6 6 6 6 6 7 8 9 9 8 8 8 7 8 8 12 14 13 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 19 48 63 44 23 12 4 0 0 0 0 1 10 34 61 85 97 96 88 85 88 87 86 82 74 65 59 48 37 26 17 10 6 4 3 3 2 4 11 18 16 5 0 0 4 8 5 0 0 2 13 34 60 90 114 130 130 120 114 110 112 118 123 128 126 125 128 134 144 163 173 168 162 158 163 159 129 94 87 99 100 92 83 77 70 61 50 41 41 55 78 100 116 116 98 77 66 56 40 22 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 3 6 9 9 8 7 6 6 6 8 9 10 10 10 11 12 14 16 18 19 21 23 25 25 24 23 21 18 15 14 14 15 15 14 14 12 11 10 11 10 8 7 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 3 2 1 2 1 1 1 1 1 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 5 6 8 8 8 7 5 6 6 6 6 5 8 11 13 12 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 8 6 14 49 58 28 9 5 1 0 0 0 0 0 0 3 19 43 61 68 66 64 65 68 71 76 77 73 69 63 53 41 32 24 18 15 14 12 11 11 17 26 24 12 1 0 5 22 39 32 4 0 15 66 94 118 132 138 135 127 116 104 105 115 123 124 121 120 123 128 137 150 160 159 158 162 171 172 143 105 95 104 105 92 80 74 71 67 58 44 35 38 54 75 93 102 94 74 59 51 42 31 20 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 4 5 9 10 9 8 6 6 6 6 6 7 8 10 10 11 12 14 15 16 18 20 23 24 24 22 19 16 14 13 13 14 14 13 12 11 11 10 10 11 10 9 8 8 7 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 2 2 2 2 2 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 6 8 8 5 2 1 1 1 2 3 2 0 2 5 6 6 4 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 15 9 3 12 46 49 15 0 0 0 0 0 0 0 0 0 0 1 9 19 28 33 34 33 32 37 47 55 61 65 64 58 47 36 28 25 23 21 16 9 6 10 19 26 23 11 8 14 38 85 87 39 18 41 89 117 128 135 133 130 125 118 110 107 113 118 120 118 118 122 128 136 147 156 158 159 164 172 167 144 116 106 110 109 98 88 84 86 85 77 61 44 38 45 62 82 99 100 83 72 66 60 52 41 nan nan nan nan nan nan nan nan nan 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 12 7 7 8 9 9 8 6 5 6 8 7 6 7 8 9 11 12 12 14 16 17 18 19 21 21 20 17 15 13 12 13 13 13 12 11 11 10 10 10 10 10 10 10 10 8 6 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 2 2 2 2 2 2 2 2 2 2 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 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 3 0 0 0 0 0 0 0 0 0 0 2 4 4 3 1 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 21 25 14 2 12 43 40 8 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 6 6 2 7 17 26 36 45 49 49 44 34 23 21 28 29 26 21 13 5 5 15 36 40 49 47 63 114 133 111 89 109 124 133 140 136 123 113 110 111 114 117 120 118 116 117 120 125 132 143 156 163 161 162 168 172 166 149 137 130 125 118 111 106 107 112 110 96 77 57 48 54 68 85 103 107 97 91 92 92 88 76 nan nan nan nan nan nan nan nan nan 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 16 14 12 10 9 9 9 6 3 4 7 8 7 6 7 8 10 10 10 12 15 16 16 16 17 18 17 15 14 12 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 8 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 1 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 2 0 0 0 0 0 0 0 0 0 0 1 4 7 6 5 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 24 28 20 11 20 38 27 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 16 25 30 31 31 25 16 16 28 37 41 42 38 23 9 6 29 52 77 78 103 124 145 148 144 141 134 138 144 136 119 101 92 93 101 112 122 124 122 121 124 131 142 154 167 171 162 161 168 171 167 162 157 149 141 133 131 130 130 129 121 104 86 69 65 73 88 102 110 112 107 105 110 116 115 104 95 nan nan nan nan nan nan nan nan 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 13 16 18 16 12 9 9 7 3 2 4 7 8 7 7 7 9 10 10 10 12 14 16 16 16 16 15 14 12 10 9 9 10 11 12 12 11 10 10 10 10 10 9 9 8 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 1 1 2 2 2 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 2 0 0 0 0 0 0 0 0 1 0 0 2 6 9 8 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 17 20 17 14 22 32 20 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 16 21 26 23 18 14 14 22 38 48 55 58 51 37 28 33 49 66 73 83 108 133 147 156 158 154 150 148 142 126 106 88 80 81 89 102 119 131 131 131 140 152 164 174 171 158 154 160 165 162 158 158 150 142 138 139 140 137 129 117 102 90 81 82 93 106 116 119 119 119 119 123 128 125 113 100 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
nan nan nan nan nan nan 4 7 12 17 20 16 11 9 9 6 3 2 4 7 7 6 7 8 10 10 10 10 11 14 16 17 16 15 13 10 8 7 6 7 8 10 10 10 10 10 9 9 8 8 8 7 5 4 4 4 3 2 2 2 3 3 3 3 3 3 4 3 3 1 1 1 2 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 3 4 2 1 6 10 11 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 7 7 9 19 26 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 4 12 16 17 18 14 13 11 10 13 31 44 60 73 72 69 64 65 68 72 73 78 96 119 137 152 162 162 155 151 149 142 125 102 86 78 78 86 106 131 139 139 148 158 169 173 165 150 142 144 148 149 150 148 144 139 136 136 135 130 122 112 102 95 93 97 106 113 115 116 121 125 130 135 133 126 116 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 2 3 6 11 17 18 15 11 9 9 7 3 2 4 6 5 6 8 10 12 12 11 10 12 15 17 17 16 14 11 8 6 5 4 4 6 7 9 10 10 9 8 8 8 8 7 5 4 3 3 2 1 0 0 1 2 3 3 3 3 3 3 3 2 0 1 1 2 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 0 0 0 0 0 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 2 0 0 0 0 0 0 4 8 7 5 9 12 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 5 15 19 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 1 4 9 16 22 25 24 19 15 11 9 12 25 40 61 81 90 92 88 87 90 84 74 75 88 106 128 151 164 163 158 154 154 154 148 129 110 98 93 98 114 134 147 150 154 161 167 168 160 143 130 126 127 126 131 138 141 140 137 135 132 127 121 114 108 104 104 108 113 114 110 106 114 118 123 137 128 118 114 113 nan nan nan nan nan nan nan 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 10 15 17 15 12 12 11 7 3 2 4 4 4 6 8 11 13 13 12 12 13 15 16 16 16 14 10 8 6 4 2 3 4 7 9 9 9 10 10 10 8 7 5 4 3 2 1 0 0 0 1 2 2 2 3 3 3 3 3 2 0 0 1 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 4 4 1 0 0 0 0 0 3 8 10 10 10 10 7 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 10 16 24 32 41 40 33 23 15 20 30 38 54 77 96 103 101 99 97 88 75 75 85 98 116 145 165 164 160 158 156 159 159 151 139 124 116 118 130 144 159 167 167 168 168 169 162 142 125 116 110 103 106 117 129 136 135 134 133 131 127 122 117 114 112 113 113 116 118 98 97 100 108 112 106 101 104 113 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 2 4 9 14 18 17 14 15 13 9 6 6 4 2 2 5 10 14 16 16 15 14 14 16 18 18 18 15 12 9 6 3 2 3 6 8 9 10 11 12 10 8 7 6 4 3 2 2 1 1 1 1 2 2 2 2 2 2 2 2 1 0 0 0 1 1 1 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 2 1 0 1 4 5 2 0 0 0 0 0 0 3 6 7 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 13 19 28 48 62 62 49 36 35 39 44 52 68 89 100 102 104 105 98 78 78 89 97 111 143 165 164 163 160 156 157 160 161 154 142 131 125 124 132 153 174 183 183 178 175 170 154 135 124 117 106 97 98 112 127 131 134 135 135 134 131 128 126 120 115 113 118 103 69 52 55 62 72 82 90 100 113 123 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 0 0 0 0 1 2 3 7 14 19 17 18 19 17 13 10 6 2 0 2 7 13 18 19 18 16 14 16 20 21 21 20 17 12 9 5 2 1 3 6 8 9 9 9 8 8 7 6 4 2 2 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 4 3 1 1 5 3 2 0 0 0 0 0 0 0 1 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 13 20 38 61 75 72 60 50 47 48 53 64 81 94 97 101 108 105 87 89 100 104 113 138 158 164 165 162 157 157 159 163 159 150 138 127 118 117 132 156 183 199 195 184 179 171 154 141 136 126 105 96 105 120 127 132 134 134 136 137 137 134 127 120 120 126 109 58 22 22 37 58 83 103 116 126 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 0 0 0 0 1 2 1 2 7 16 18 19 21 19 16 13 8 3 0 1 4 10 17 19 18 17 16 19 21 21 22 22 18 13 8 6 3 1 1 3 4 5 5 6 6 6 6 5 3 3 3 3 3 3 3 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 6 4 3 4 4 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 13 31 51 72 81 76 62 52 47 53 65 79 92 91 91 103 106 95 102 114 117 116 130 150 163 166 164 160 159 160 163 162 155 144 133 123 119 122 133 160 196 209 195 182 177 166 154 147 137 117 105 109 120 126 129 128 128 132 139 141 138 130 124 125 135 130 94 53 44 60 86 104 120 134 139 143 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 1 0 0 0 1 1 0 0 2 6 14 18 20 18 14 11 8 5 2 2 4 6 11 15 16 16 17 20 21 20 19 18 14 10 6 4 2 0 0 1 2 2 3 4 4 5 4 3 3 3 3 3 3 3 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 15 11 6 3 3 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 26 40 54 71 79 72 59 45 45 56 73 89 87 84 95 103 102 113 124 127 123 125 143 160 168 167 163 159 158 162 163 157 147 136 128 124 121 118 130 167 197 203 186 171 162 156 149 141 127 114 113 122 128 128 123 120 123 131 136 134 129 122 121 131 144 132 106 90 94 105 112 123 135 141 145 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 0 0 0 0 0 0 0 0 0 2 8 15 18 16 12 9 8 7 5 4 6 6 6 9 12 13 15 18 19 17 14 11 6 3 2 1 0 0 0 0 0 1 1 1 2 3 2 2 2 3 3 3 3 3 3 2 2 2 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 20 18 14 7 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 26 36 49 65 72 70 55 43 44 58 77 85 86 91 97 103 115 126 131 131 133 142 158 169 170 166 158 153 154 159 157 147 135 127 123 118 114 111 128 157 181 181 162 149 145 143 140 133 121 116 120 126 128 122 114 113 118 124 126 126 121 112 111 128 133 120 109 103 104 109 118 127 133 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 1 4 7 13 15 14 12 10 9 8 6 6 8 8 5 5 7 9 12 14 16 14 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 3 3 3 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 1 0 0 0 0 0 0 0 0 1 6 11 11 9 7 5 5 4 4 5 4 5 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 1 11 20 28 45 62 74 73 55 39 39 56 80 92 98 100 102 110 119 126 131 139 152 164 167 170 171 162 155 153 158 160 152 141 133 130 123 119 111 113 128 148 159 152 141 139 144 144 137 129 122 119 124 130 127 116 108 110 116 123 128 126 115 106 106 109 106 99 96 97 103 111 118 122 124 125 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 0 0 0 0 0 0 0 0 0 1 3 7 10 14 13 10 9 9 10 10 8 8 10 10 7 5 4 5 6 8 10 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 3 3 2 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 1 0 0 0 0 0 0 0 0 0 0 2 2 4 5 5 5 5 5 5 5 5 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 10 12 25 45 66 83 73 48 27 32 65 97 112 113 106 104 108 112 118 131 149 166 166 168 172 166 166 163 164 163 159 152 147 142 135 128 120 117 121 135 152 158 150 141 144 149 144 138 134 129 131 138 134 122 111 108 112 121 129 133 129 121 112 105 101 97 94 94 99 106 109 108 106 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 1 1 2 3 6 10 13 16 13 4 4 5 8 10 9 9 11 11 10 8 5 3 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 5 5 5 6 6 6 5 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 21 43 66 74 59 30 17 42 86 119 129 120 110 110 109 105 113 134 156 166 167 171 176 175 172 170 167 161 158 158 154 144 134 126 123 121 127 148 173 175 159 147 146 145 146 145 142 143 147 141 130 118 108 107 116 128 138 145 144 133 119 110 105 99 94 95 98 98 90 81 81 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 2 4 7 9 11 12 17 22 17 4 0 1 3 5 7 8 10 11 11 10 7 4 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 5 5 6 6 6 6 5 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 18 44 63 59 36 11 18 68 110 138 133 124 127 125 113 109 120 141 158 164 166 169 169 169 171 167 160 156 159 160 150 140 133 129 124 120 133 168 194 186 160 146 146 146 146 146 148 151 147 137 124 112 106 111 126 142 154 161 155 138 125 116 106 97 93 93 86 74 65 63 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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116 119 120 119 117 114 111 109 110 108 102 95 99 108 104 90 80 81 90 108 128 137 134 123 102 77 66 68 77 81 76 68 61 58 61 71 86 99 106 103 91 75 63 57 53 50 48 46 42 38 34 30 27 25 26 28 30 28 27 27 28 27 26 26 25 23 21 20 18 16 15 15 17 20 21 19 16 13 12 11 11 14 20 26 30 32 32 32 31 30 27 22 17 13 12 11 10 11 12 10 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 4 4 4 4 4 7 11 9 6 4 4 5 6 6 7 9 12 16 15 14 17 20 20 18 14 9 6 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 2 1 1 3 6 12 19 24 28 32 36 43 53 60 63 58 49 43 38 31 28 28 33 44 58 73 90 107 120 130 135 139 143 152 164 157 136 119 96 71 56 49 49 56 59 53 44 34 22 15 18 28 43 51 53 52 48 49 42 26 11 4 1 0 0 0 1 4 9 21 32 39 42 49 56 58 56 55 57 60 60 57 55 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
118 118 120 117 118 119 118 114 112 112 111 107 106 112 113 102 90 84 85 95 114 133 146 148 136 108 84 75 80 88 92 88 79 70 64 62 72 84 94 96 90 80 70 64 62 61 58 55 51 46 42 37 33 30 28 27 27 28 28 29 31 31 30 29 27 26 24 22 19 16 13 13 13 14 17 18 18 15 13 9 6 9 14 18 22 24 26 28 30 30 28 24 20 16 14 13 12 13 15 15 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 4 4 4 4 8 11 7 4 4 6 9 10 10 9 10 12 16 16 15 15 17 19 19 16 10 4 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 1 1 1 0 0 0 1 4 6 12 20 24 28 30 33 40 48 54 53 50 51 51 49 43 39 38 41 48 59 72 85 96 104 110 118 122 124 144 144 141 137 118 92 70 55 54 63 72 67 54 42 29 18 10 7 15 29 40 47 52 66 74 53 28 13 5 2 1 0 0 0 1 7 18 24 28 30 28 26 23 22 22 24 28 31 34 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
108 107 103 100 101 108 112 113 113 112 112 112 110 112 114 110 98 88 81 82 95 116 137 152 155 140 120 103 92 91 99 102 98 90 81 74 72 75 82 86 86 81 75 70 68 68 66 62 58 53 49 44 40 37 34 30 29 30 32 34 37 35 31 27 24 22 21 18 14 10 9 12 14 14 14 17 18 18 18 17 17 16 16 18 20 22 24 26 27 27 26 25 23 20 18 17 15 15 19 18 5 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 4 4 4 4 4 4 8 9 5 3 5 9 11 11 10 10 11 14 17 17 15 12 12 16 19 18 12 5 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 2 4 6 13 20 24 26 28 31 36 40 41 42 47 54 59 57 53 50 49 50 54 62 71 78 84 86 90 95 98 106 116 135 154 155 133 99 72 62 72 87 84 68 54 40 28 16 6 4 11 22 32 41 63 87 79 53 30 17 10 7 6 3 0 0 3 10 17 21 24 24 20 14 11 10 8 7 9 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
98 93 88 82 79 81 84 90 100 109 113 111 111 113 116 115 106 95 83 75 78 93 114 135 153 160 153 139 122 104 104 110 110 107 102 96 90 85 84 83 82 82 76 71 69 69 68 64 60 55 53 52 49 46 42 38 34 33 35 38 40 38 31 23 19 17 16 13 10 8 11 17 21 22 21 21 21 22 23 24 24 22 21 22 23 24 24 24 24 24 26 26 24 21 20 20 20 19 22 22 3 0 0 0 0 0 0 0 1 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 3 4 6 7 6 6 8 10 10 9 7 7 11 15 17 17 15 12 10 13 18 20 14 6 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 7 11 17 21 24 26 29 30 28 27 34 44 51 55 56 56 56 56 57 61 67 72 76 76 77 80 83 84 90 110 139 162 166 139 101 80 84 97 100 91 74 58 42 29 16 9 10 14 19 26 47 81 93 78 53 32 22 25 28 19 8 3 5 12 20 29 39 42 36 26 20 18 15 12 10 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan
95 89 84 77 70 65 63 67 76 88 103 111 112 116 120 121 116 106 94 82 73 76 88 107 132 158 166 160 148 133 121 120 120 118 115 110 104 102 101 100 98 95 86 77 70 68 68 65 61 57 56 59 61 58 54 50 45 42 40 40 40 39 32 22 15 13 13 12 11 12 17 24 30 33 31 24 24 24 26 28 29 29 28 27 26 25 24 24 24 26 29 28 24 21 20 23 23 22 23 23 12 3 1 0 0 0 0 0 2 5 8 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3 2 2 5 7 7 7 8 9 7 4 3 5 11 17 17 17 17 14 12 15 20 21 15 7 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 10 17 21 24 24 21 20 24 32 40 46 50 55 58 60 61 62 66 72 73 71 72 74 76 77 78 86 105 129 156 149 126 108 106 111 116 115 102 83 62 44 31 28 28 26 22 20 31 57 83 90 67 39 31 47 58 49 32 19 14 17 26 42 65 73 61 46 36 33 34 34 30 26 25 nan nan nan nan nan nan nan nan nan nan nan nan nan
98 92 87 80 74 69 66 64 66 71 78 90 99 109 118 123 121 117 111 102 89 79 76 84 102 130 148 153 149 142 135 132 133 131 126 115 109 109 113 117 118 114 107 97 87 78 76 74 73 68 64 66 71 73 70 66 61 54 48 43 41 40 36 26 17 12 12 14 15 18 22 26 30 32 30 25 21 23 27 31 34 34 32 29 25 23 25 27 29 31 32 29 25 22 22 25 28 28 28 26 17 9 3 0 0 0 0 0 4 11 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 6 7 6 6 5 3 1 2 7 14 18 17 17 18 18 16 18 22 20 13 7 6 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 16 16 19 21 25 30 37 42 47 52 58 62 65 62 61 66 68 65 63 63 66 71 73 73 78 88 101 114 114 118 130 135 132 134 128 111 86 64 49 47 50 49 40 27 20 32 57 79 64 39 33 51 71 74 60 40 27 23 25 37 64 78 73 60 48 43 45 49 48 44 42 nan nan nan nan nan nan nan nan nan nan nan nan nan
101 94 88 83 78 75 72 70 71 74 77 81 87 94 103 115 118 122 125 124 117 102 89 81 83 98 120 130 132 131 135 141 147 150 148 135 121 115 117 121 123 124 126 125 122 116 107 102 100 94 85 81 84 88 88 83 75 64 54 49 47 46 44 36 24 16 14 16 18 20 23 28 30 28 21 15 14 19 27 36 44 45 37 27 20 19 25 32 35 34 32 29 27 27 29 32 34 34 34 32 26 14 4 0 0 0 0 4 10 16 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 1 1 2 1 1 1 3 4 4 4 2 2 1 2 5 11 17 19 15 15 18 19 19 20 20 15 9 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 2 5 7 13 23 32 38 39 42 45 50 55 61 64 64 61 60 59 57 55 54 54 56 61 62 64 69 67 71 80 98 124 148 162 165 150 134 118 97 77 69 72 74 66 48 26 24 38 56 54 38 29 40 62 76 71 56 46 35 28 28 40 54 66 66 59 51 48 50 53 51 50 nan nan nan nan nan nan nan nan nan nan nan nan nan
110 100 92 86 81 76 74 74 77 80 81 81 84 90 102 115 118 121 123 125 126 120 110 98 92 96 107 117 120 126 136 145 155 164 170 165 146 126 116 110 109 115 127 137 141 141 133 127 126 124 118 108 102 101 101 95 83 68 59 57 60 61 57 48 36 27 22 21 21 22 25 30 33 28 18 10 8 13 23 35 46 48 38 26 20 20 28 36 37 33 29 27 28 30 34 38 39 38 38 36 29 17 6 1 0 0 3 12 18 16 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 1 1 1 2 2 2 2 2 3 2 2 2 6 11 16 20 20 17 15 16 18 20 20 16 10 6 5 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 16 29 39 41 40 40 43 47 50 54 57 57 55 52 48 45 42 39 40 43 45 49 53 56 54 56 72 100 136 166 181 163 147 137 128 114 101 99 102 98 82 57 45 47 57 59 47 32 29 41 54 50 46 51 50 42 32 29 37 55 71 73 66 61 58 55 52 51 50 nan nan nan nan nan nan nan nan nan nan nan nan
125 116 105 96 88 81 78 78 82 86 87 86 85 91 105 118 121 118 111 105 109 116 117 112 106 104 108 116 123 129 138 144 151 160 173 174 157 133 113 102 98 102 116 132 140 138 132 129 131 136 138 134 125 114 105 95 82 72 68 70 72 73 68 59 48 40 36 34 31 29 29 32 36 33 22 10 7 9 14 20 27 32 33 29 28 30 35 38 36 31 27 26 27 30 35 40 41 38 35 30 25 18 10 5 2 3 10 16 19 14 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 2 2 2 2 2 2 3 3 3 6 12 17 20 23 22 20 17 16 19 19 16 10 6 4 4 4 4 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 3 3 4 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 1 7 17 27 33 35 35 36 37 37 39 43 47 48 43 38 34 29 26 26 29 32 35 39 42 44 47 55 74 98 126 157 157 150 146 146 143 132 126 128 127 116 102 88 82 81 76 68 57 40 32 33 25 23 31 41 42 37 35 44 58 73 81 79 76 72 66 60 56 54 nan nan nan nan nan nan nan nan nan nan nan nan
136 133 123 113 104 97 91 88 90 94 95 93 87 85 96 110 118 116 107 95 92 100 110 111 103 102 106 114 122 129 134 137 138 141 148 153 145 128 112 102 97 97 107 121 126 121 115 115 122 133 142 145 141 127 109 96 90 87 86 83 78 74 69 62 56 50 48 47 45 41 35 34 36 35 30 18 11 8 7 8 11 18 25 30 34 36 38 37 32 28 26 27 30 37 48 55 51 40 30 26 25 22 19 15 13 14 16 13 9 8 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 3 4 9 16 18 19 21 21 19 16 17 18 16 11 7 5 4 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 4 4 4 5 5 6 5 4 4 4 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 2 7 10 21 29 33 34 32 29 28 30 34 35 32 26 22 16 13 16 20 24 27 30 34 38 41 47 60 75 91 111 132 142 145 152 153 145 145 147 147 137 129 125 120 114 102 94 93 69 44 32 19 10 11 19 25 28 34 49 65 75 83 88 89 84 77 70 65 64 nan nan nan nan nan nan nan nan nan nan nan nan
132 136 133 127 120 114 108 103 100 100 99 96 89 81 82 94 107 114 115 108 100 99 106 111 106 104 103 107 115 122 126 126 123 118 118 127 129 123 115 109 103 99 104 114 119 112 104 104 114 129 144 151 150 137 117 103 105 106 101 86 71 63 62 60 58 56 57 58 57 52 43 37 35 35 32 24 14 7 5 6 8 14 20 26 30 33 34 32 28 25 26 31 39 49 57 61 57 47 37 35 36 36 33 29 26 25 20 10 5 6 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 2 2 2 3 3 3 3 3 3 4 6 11 15 16 15 16 18 17 16 17 16 12 8 7 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 4 4 5 5 6 6 5 5 4 4 3 3 3 3 3 6 9 10 6 3 1 0 0 0 0 0 2 5 6 14 24 32 34 32 26 23 23 25 24 21 15 11 6 5 8 13 18 21 24 29 34 38 45 54 63 73 83 96 109 123 139 159 157 163 166 160 149 140 138 144 148 140 127 123 100 72 53 38 21 10 10 13 16 23 36 51 62 72 81 85 82 76 73 77 80 nan nan nan nan nan nan nan nan nan nan nan nan
108 119 125 127 126 126 121 118 112 106 103 99 92 86 82 86 93 103 114 119 115 114 117 121 122 116 108 104 105 109 114 117 116 112 112 118 121 118 117 118 114 106 105 111 118 116 107 102 110 124 141 153 155 145 129 116 116 117 102 73 53 47 51 55 56 57 59 62 62 58 51 42 36 33 30 23 15 9 8 10 12 16 19 22 24 27 29 28 27 25 28 34 42 48 53 56 57 56 56 58 58 49 39 35 31 25 17 7 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 2 3 3 3 2 3 3 4 4 4 4 3 4 5 8 11 13 14 13 13 16 16 16 16 14 10 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 4 4 5 6 6 6 6 6 5 4 4 3 3 3 4 6 17 26 27 22 16 10 5 3 3 4 5 6 9 12 18 24 30 33 32 26 23 22 24 19 15 11 6 2 0 2 7 12 15 17 20 26 36 46 54 56 58 67 78 88 101 119 138 156 167 167 160 153 148 150 159 167 162 154 144 126 105 89 75 53 24 16 16 17 19 24 29 37 48 61 70 68 66 72 84 93 98 nan nan nan nan nan nan nan nan nan nan nan
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