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