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 5 5 5 5 4 4 3 3 4 4 4 4 3 4 3 4 5 6 6 6 6 5 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 2 2 2 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 4 4 4 4 5 6 8 9 8 8 7 7 7 6 5 6 7 7 6 6 5 5 4 4 1 0 2 5 4 6 9 8 -7 -3 3 2 7 7 2 9 11 7 5 6 4 3 6 8 2 3 5 2 -0 6 5 -1 0 7 12 9 1 -2 6 12 6 -4 -3 2 4 6 4 -2 3 7 1 -2 2 5 3 5 10 7 -0 0 4 5 4 2 3 5 7 5 7 23 41 34 16 10 6 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 5 6 7 9 11 15 17 17 16 15 14 11 9 8 6 5 4 4 3 3 3 3 3 3 2 3 6 5 5 5 6 6 5 4 3 3 6 8 5 6 6 5 5 5 5 5 9 9 3 3 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 2 1 2 3 4 5 5 4 4 4 5 7 8 9 8 6 4 3 2 2 3 5 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 4 3 3 3 3 3 3 4 8 17 27 22 9 4 4 -0 -5 -4 -7 -5 -11 -6 0 -4 -1 5 1 -2 -1 0 -3 -12 -15 -9 -7 -8 -5 -0 5 8 8 8 8 9 12 18 21 19 15 14 13 12 9 9 11 13 14 16 17 15 13 14 18 17 12 10 9 9 6 6 7 7 7 8 8 7 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 5 6 6 5 5 4 4 3 3 5 4 4 4 3 3 3 4 5 6 6 5 5 4 3 3 3 3 4 4 4 3 2 2 2 2 2 3 4 4 4 4 3 3 2 3 3 3 4 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 5 5 5 5 5 5 4 4 5 4 4 5 5 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 8 9 8 8 7 7 7 6 5 6 7 7 6 6 5 4 3 3 1 1 5 8 5 8 20 15 -2 1 2 5 12 9 2 4 5 6 6 6 2 0 9 12 6 4 4 1 2 9 6 2 2 5 9 8 5 3 7 11 10 4 1 4 11 13 7 3 8 11 6 0 -1 -2 2 9 11 6 1 1 1 3 6 7 7 7 8 11 22 35 37 22 10 6 5 3 3 2 2 3 2 1 2 3 3 3 2 2 3 3 4 4 4 4 5 6 7 8 10 13 15 14 13 13 13 12 11 9 7 5 3 3 4 3 3 2 1 1 1 3 7 6 5 5 5 5 4 2 2 5 6 6 5 6 6 5 5 5 6 5 7 6 2 3 4 3 4 4 4 3 3 4 3 3 3 3 2 3 3 3 3 4 4 3 3 2 2 2 3 4 4 4 4 4 4 5 6 8 9 9 8 6 5 3 3 3 5 6 6 5 4 4 4 5 4 4 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 5 9 18 26 24 17 14 8 9 10 8 3 2 0 1 0 3 5 5 6 9 9 5 1 -2 -3 -2 -3 -2 -0 4 7 7 7 7 7 8 10 12 13 11 8 8 8 8 9 11 13 14 15 14 13 12 13 13 9 8 7 6 5 5 6 7 7 7 8 9 8 6 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 4 5 5 5 5 5 4 3 4 4 4 4 4 3 3 3 3 5 5 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 2 2 3 3 3 4 4 4 4 3 3 3 3 3 4 4 3 2 3 3 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 3 3 4 3 3 3 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 5 6 6 5 5 4 5 5 5 7 9 9 8 8 8 7 7 6 5 5 6 6 5 4 3 3 0 -1 4 12 10 5 10 21 13 2 2 1 5 12 10 3 1 1 1 4 8 4 4 12 15 10 5 3 1 5 10 7 5 5 5 4 6 8 11 11 9 8 9 8 8 12 8 3 5 10 13 10 4 -4 -10 -3 9 10 7 5 3 3 4 7 8 8 7 10 23 38 37 23 11 6 5 4 3 3 2 2 3 2 2 2 2 3 2 2 3 3 4 4 5 4 4 5 5 7 8 9 11 12 12 11 11 11 11 11 9 8 6 4 4 3 3 3 2 1 -2 -5 2 7 7 5 5 4 4 3 4 4 6 7 6 6 6 5 5 5 6 5 4 5 1 -3 1 3 1 1 3 4 3 3 3 3 4 4 3 3 3 3 3 4 5 5 4 3 2 2 2 3 4 5 5 4 4 4 5 6 8 9 10 9 8 7 5 4 3 4 6 6 5 3 3 5 5 4 4 4 4 5 5 5 5 4 4 5 4 4 5 5 5 5 5 5 4 4 3 3 4 7 14 20 22 18 9 7 6 5 6 8 6 4 3 2 2 7 9 10 10 8 8 7 5 8 8 7 6 5 6 7 7 7 7 7 7 7 8 7 6 6 7 8 8 10 12 12 12 11 11 11 11 10 8 6 7 6 4 3 4 6 6 6 8 9 9 7 4 3 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 3 3 3 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 6 6 7 8 7 6 4 4 5 5 5 5 5 4 4 3 3 3 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 2 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 4 3 3 4 4 4 5 6 6 6 6 5 6 6 6 5 4 5 5 5 6 7 9 10 8 8 8 7 6 5 5 5 5 4 3 3 3 -2 -6 -0 11 10 5 6 10 5 4 4 5 3 7 8 2 -0 1 1 6 8 4 6 12 12 7 6 4 2 5 6 5 7 7 4 2 4 8 11 14 13 11 9 9 12 12 2 -6 -1 10 15 11 3 -5 -7 -3 4 9 9 5 4 5 6 6 7 8 12 24 38 40 26 11 6 5 4 3 3 3 2 3 3 2 2 2 2 2 3 3 3 4 4 5 4 4 5 5 5 6 7 9 10 11 10 9 9 9 9 10 9 8 7 5 4 3 3 3 2 1 -3 -5 3 7 6 6 4 4 4 4 5 6 6 6 6 6 6 6 5 6 6 6 5 5 2 -2 -1 1 1 1 2 4 3 3 3 4 4 5 4 3 2 3 3 5 5 5 4 3 2 3 2 3 4 5 5 4 4 5 6 7 8 10 10 10 9 8 6 5 4 4 6 6 5 3 3 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 3 2 3 3 4 7 14 16 11 6 6 6 5 6 7 6 3 3 3 6 8 7 5 4 7 6 8 12 12 10 7 6 6 7 7 7 8 8 6 6 6 5 5 5 6 7 8 9 10 9 8 7 7 7 8 9 9 8 7 5 2 2 3 5 5 5 8 9 9 7 4 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 2 3 3 3 4 5 4 4 3 3 4 3 3 3 3 4 3 3 3 4 6 7 9 9 7 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 2 2 2 2 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 4 3 3 3 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 7 9 10 9 7 7 7 7 6 5 5 4 4 3 3 3 -2 -9 -6 4 8 5 5 3 -0 7 8 6 1 5 10 5 1 1 5 9 3 1 1 4 2 -0 2 2 3 7 6 2 4 6 5 5 6 5 5 8 15 16 10 8 8 6 6 2 1 7 11 8 3 3 7 5 2 6 8 6 5 4 4 4 6 9 21 36 39 27 13 6 5 5 4 4 3 2 2 3 3 2 2 2 2 3 3 3 3 4 5 5 4 4 5 5 5 5 6 8 9 10 9 8 7 7 8 9 9 9 7 5 4 4 4 3 3 1 1 2 4 6 6 5 3 4 5 4 4 5 5 6 5 5 6 6 5 5 5 5 5 4 3 2 -1 0 5 7 5 3 3 3 4 5 6 6 5 4 3 3 4 5 5 5 4 4 3 3 3 3 4 5 5 5 5 5 6 7 8 10 10 10 10 9 8 7 6 5 6 6 4 3 3 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 2 1 -0 -2 -1 -2 -2 -1 2 7 8 7 6 5 5 6 7 6 4 4 2 5 9 8 4 3 8 12 13 10 8 6 6 6 6 6 7 7 7 8 7 6 6 5 5 5 5 6 7 9 9 8 6 5 4 4 5 6 9 10 8 4 1 0 2 4 4 4 6 7 8 6 4 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 2 2 3 3 3 3 2 2 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 6 8 9 8 7 6 5 4 3 4 4 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 2 3 2 3 3 3 3 3 3 3 2 2 2 2 3 3 2 2 2 2 2 2 2 3 2 2 3 2 3 3 2 2 2 3 4 3 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 6 6 6 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 5 6 6 5 5 5 6 6 6 5 5 5 5 6 8 9 9 7 6 6 7 6 6 5 5 4 4 4 3 -0 -6 -4 5 6 4 5 4 1 9 10 4 2 3 8 8 4 2 8 10 3 3 2 -0 -3 0 4 3 5 10 10 4 1 2 6 9 6 -1 2 4 8 8 7 7 4 1 9 15 10 5 6 6 6 11 12 7 6 7 6 6 6 4 3 3 5 11 24 31 23 11 6 5 5 4 4 4 3 2 2 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 4 4 5 6 7 8 8 8 7 7 7 7 8 9 9 7 5 4 4 4 4 3 3 3 3 3 5 6 4 4 5 5 4 5 4 4 5 6 6 5 5 5 5 5 5 5 4 3 3 1 1 7 9 6 3 3 4 5 7 8 8 6 4 3 2 4 6 6 4 4 3 3 3 3 3 4 5 5 5 5 5 6 7 9 10 10 10 9 9 9 8 7 7 7 6 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 3 2 1 -2 -4 -7 -7 -7 -8 -6 -3 1 5 6 5 4 5 7 8 7 3 4 6 6 8 12 9 8 10 12 9 6 5 5 6 6 6 5 6 6 6 7 7 6 5 4 4 4 5 6 7 8 8 7 6 4 3 3 4 4 7 8 7 4 1 -0 1 3 4 3 3 4 5 5 5 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 3 2 2 2 3 3 3 2 1 1 2 3 4 4 4 3 2 2 2 2 2 2 2 3 3 5 7 8 8 8 6 4 3 2 2 2 3 3 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 3 3 2 2 3 3 3 2 2 2 2 2 2 2 2 3 3 3 2 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 4 4 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 5 5 6 5 5 6 7 6 5 5 5 5 5 7 9 9 7 6 6 6 6 6 6 6 6 6 5 5 2 -1 0 6 8 5 7 7 5 8 5 4 5 4 4 8 7 3 7 6 2 6 9 2 -0 6 7 3 4 8 6 5 3 3 6 10 3 -4 3 5 2 -2 2 5 6 5 3 8 9 6 4 -1 6 12 11 8 7 8 5 4 6 6 5 5 5 13 24 22 11 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 5 4 4 5 6 7 7 7 7 7 7 7 8 8 8 7 5 5 5 5 4 4 4 3 3 3 4 6 5 5 5 5 5 4 5 5 5 5 6 5 4 5 5 5 5 5 4 4 3 2 1 3 6 5 3 3 4 6 8 10 9 6 4 2 2 5 6 4 4 4 4 4 4 3 3 3 4 5 6 5 5 6 7 9 10 10 9 8 8 8 9 9 9 8 7 4 2 2 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 2 3 3 0 -3 -6 -6 -5 -6 -4 -0 2 4 5 6 4 4 7 7 6 5 5 7 7 9 12 12 9 6 5 4 5 5 6 6 6 5 5 4 3 2 4 5 6 5 4 4 4 4 5 6 7 7 7 5 4 3 3 4 4 5 5 5 4 2 0 1 2 3 3 4 4 3 3 4 5 4 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 3 3 3 2 2 3 3 2 1 0 1 2 3 4 4 3 2 2 2 2 2 2 2 2 2 3 4 6 7 8 7 5 4 3 2 2 1 2 3 3 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 3 3 2 3 3 2 3 2 1 2 2 1 2 2 2 3 3 3 3 3 3 3 3 3 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 6 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 7 7 6 5 5 5 5 6 8 9 8 7 6 6 6 7 6 6 6 6 6 5 4 2 1 2 6 9 13 10 7 8 5 3 5 4 2 7 9 6 6 1 -0 4 9 7 4 7 4 2 3 5 3 5 5 5 8 8 -0 -1 6 8 6 1 1 0 6 8 3 1 3 6 4 -4 0 7 9 7 9 11 7 4 4 4 6 6 8 19 25 16 7 5 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 5 5 4 4 5 6 6 7 7 8 8 8 8 8 7 6 6 5 5 5 5 5 5 2 4 6 7 7 5 5 5 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 3 3 4 3 3 4 5 8 10 11 9 6 3 2 3 4 4 4 3 3 4 4 4 4 4 4 4 5 6 5 5 6 7 8 9 8 7 7 7 8 9 10 10 9 7 4 3 2 2 3 4 5 5 6 6 5 5 6 5 4 4 4 3 2 2 2 2 1 3 7 5 3 1 1 2 2 1 3 5 5 4 6 6 4 5 5 5 9 8 8 7 7 9 8 5 4 4 4 4 4 5 5 6 5 5 3 -0 -3 -1 2 4 5 4 4 3 4 5 6 7 7 7 6 5 5 4 4 4 4 4 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 4 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 3 3 3 3 3 3 3 2 1 2 2 2 2 3 3 2 2 2 2 1 2 2 2 3 2 2 4 5 6 6 7 6 5 4 2 1 2 2 2 3 3 3 3 3 3 3 3 2 3 3 2 3 3 2 3 3 3 4 3 3 3 3 2 3 3 2 2 2 2 2 2 2 3 3 3 3 4 3 3 4 3 3 2 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 5 5 5 6 6 6 6 6 6 5 5 6 6 6 6 6 6 5 5 6 7 7 6 6 5 4 4 5 6 6 7 8 7 6 6 5 5 6 7 8 8 7 6 6 6 6 6 7 6 6 6 5 5 3 1 1 4 9 13 9 7 9 6 7 11 8 2 3 7 9 9 3 2 1 1 7 5 6 5 4 7 6 3 4 4 7 10 2 -3 4 7 8 9 7 0 -3 2 5 5 5 8 11 6 2 -0 5 3 5 9 10 6 4 3 3 6 8 14 24 22 11 6 5 5 5 5 4 4 4 4 4 4 3 3 3 3 2 3 3 4 4 5 5 5 5 4 4 4 5 5 4 4 4 5 6 6 7 8 9 9 8 8 7 7 6 6 6 6 6 6 5 4 5 13 15 11 8 7 6 6 6 6 5 5 6 6 6 6 6 5 6 6 5 5 5 6 5 4 4 5 4 3 3 4 5 8 11 11 8 4 3 3 4 5 4 3 2 3 4 4 5 4 4 4 4 5 5 5 6 6 6 7 7 7 6 6 6 7 8 11 11 10 7 4 2 2 3 3 4 4 5 6 6 6 6 6 5 5 4 4 3 2 1 2 4 4 3 6 7 5 5 4 4 4 3 3 3 3 3 4 5 6 5 5 6 10 11 9 7 6 6 5 4 3 3 3 3 3 4 4 5 5 4 5 3 1 1 1 3 4 4 3 3 4 5 6 6 6 7 7 7 6 6 5 5 4 4 4 4 3 2 2 2 2 2 3 4 4 3 3 2 2 2 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 1 1 1 3 4 4 4 3 2 3 3 3 2 1 1 2 2 2 2 1 1 1 1 2 3 3 2 2 2 3 3 4 6 6 6 6 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 2 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 4 4 5 6 6 6 6 7 7 6 6 6 5 6 6 7 6 6 6 6 6 7 8 8 9 8 6 5 5 5 6 6 7 9 8 6 5 5 5 6 7 8 8 8 7 6 7 6 6 6 6 6 6 6 5 3 2 2 5 7 7 6 6 5 4 8 12 10 5 4 3 5 8 7 6 3 1 6 6 6 7 7 9 9 8 2 1 5 6 -2 0 7 5 4 7 8 1 1 4 4 6 4 7 10 4 6 4 5 4 9 13 9 6 3 2 4 6 9 17 23 17 7 5 5 5 5 5 4 4 4 4 4 3 4 4 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 7 8 8 9 8 8 8 8 7 7 7 7 6 6 5 5 6 12 17 18 17 15 12 10 9 8 7 7 7 7 6 6 6 5 6 6 6 6 6 7 6 5 4 6 6 5 4 5 5 7 9 9 6 3 2 4 5 5 4 3 3 3 3 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 6 5 6 6 8 10 12 11 8 3 1 1 2 3 3 4 5 6 7 7 6 6 5 5 4 3 3 3 1 0 6 12 8 4 6 6 5 4 4 3 3 4 4 4 6 7 8 8 8 8 7 9 12 12 8 8 7 5 4 3 3 3 3 3 3 3 4 4 5 6 9 10 10 7 4 4 4 4 4 5 5 6 6 5 6 6 7 7 6 6 6 5 5 5 4 4 4 3 2 2 2 3 3 3 4 3 2 2 2 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 2 1 0 2 4 4 5 4 2 2 3 4 3 3 2 1 1 1 0 0 0 -0 0 1 3 3 3 3 2 2 2 3 4 5 6 6 6 6 5 5 4 3 4 3 3 3 3 2 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 3 3 2 2 3 3 3 3 3 3 3 4 3 4 4 3 4 4 4 5 4 4 4 4 4 4 4 5 5 4 3 4 5 5 6 6 6 6 7 6 6 6 6 6 6 7 6 6 6 6 6 7 8 9 10 10 8 6 5 6 7 7 8 9 9 7 5 5 5 6 7 8 7 8 7 7 7 7 6 6 6 5 5 5 5 4 2 2 6 9 7 5 3 2 1 5 9 8 5 3 2 2 6 10 9 7 6 3 4 8 9 7 6 9 10 3 -0 2 2 1 6 7 3 3 6 8 4 4 5 5 4 3 5 2 -0 3 4 6 11 14 13 10 7 3 4 5 5 8 17 20 12 6 5 5 5 5 4 4 4 5 4 4 4 3 4 4 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 5 6 6 7 7 8 8 7 8 8 8 8 7 6 5 5 4 4 5 11 17 19 19 20 18 15 14 14 13 12 10 8 6 5 5 5 6 7 7 8 8 8 8 9 11 12 8 5 5 6 6 6 4 3 2 2 4 5 5 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 4 3 3 4 5 5 5 5 5 7 9 10 11 9 6 2 -1 -1 -0 2 3 4 5 6 7 6 5 4 3 2 2 2 1 -0 -1 4 14 13 6 6 5 4 4 4 3 5 8 10 11 11 13 14 12 10 9 8 7 9 10 10 10 8 6 4 3 3 3 3 3 3 3 3 3 4 6 9 12 12 10 6 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 6 6 5 5 4 4 4 2 2 2 3 3 3 4 4 3 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 4 2 0 1 2 3 4 4 3 3 4 4 4 4 3 2 2 0 -0 -0 -0 -1 -1 0 2 3 3 3 3 3 3 2 3 3 4 6 6 7 7 6 5 5 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 3 3 3 3 3 4 4 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 3 4 3 3 5 5 4 3 4 4 4 4 4 5 5 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 7 9 11 12 11 10 8 7 7 8 8 9 10 8 6 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 4 2 5 9 12 9 8 2 -1 1 4 7 8 5 2 2 4 8 10 8 5 5 1 4 8 12 8 4 5 8 6 2 1 2 4 6 6 1 -0 4 7 4 3 5 5 2 3 2 4 5 4 0 3 9 9 8 8 6 4 6 7 6 12 19 17 7 4 5 5 5 4 4 4 4 5 5 4 4 3 4 4 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 6 6 6 7 6 6 5 5 4 3 3 3 3 5 7 10 12 15 16 17 18 19 18 17 16 13 8 7 7 7 8 9 11 13 13 13 15 17 18 14 7 5 6 6 5 4 2 1 1 2 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 0 -5 -5 1 5 5 5 5 5 7 9 10 10 9 7 2 -2 -3 -3 -1 3 5 6 6 5 4 2 1 -1 -3 -3 -2 -3 -2 2 10 11 6 5 5 4 4 4 5 8 11 13 14 13 12 12 12 10 7 6 7 7 8 9 10 10 8 6 4 3 3 3 3 3 3 4 4 4 5 6 7 6 7 6 5 5 4 4 4 5 5 5 5 5 5 6 6 6 7 7 7 6 6 5 4 4 4 3 2 3 3 3 3 4 4 4 3 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 5 4 3 1 1 1 1 2 4 4 4 4 4 4 4 4 3 2 1 1 0 0 -0 -0 0 2 3 3 4 4 3 2 3 3 4 4 5 5 6 6 5 5 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 3 4 4 4 4 5 4 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 7 6 6 5 6 7 10 12 13 13 12 10 9 8 8 8 10 10 8 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 3 3 8 15 11 5 7 0 -1 3 4 -3 4 8 8 5 4 4 7 10 9 5 3 7 11 15 12 4 2 2 2 4 5 5 6 3 6 3 -2 1 1 1 1 7 4 3 4 2 8 9 4 -5 -3 6 7 7 8 7 5 4 6 11 20 22 13 6 4 4 5 4 4 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 5 5 6 6 6 5 5 4 3 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 3 4 5 7 10 12 13 13 13 15 16 16 15 14 14 16 17 17 17 17 18 19 21 19 11 6 6 6 6 6 5 3 1 0 1 2 3 4 4 5 6 6 5 6 6 6 6 5 5 5 4 4 4 6 3 -6 -14 -10 1 5 4 4 5 6 7 9 10 10 10 8 4 -0 -4 -6 -4 -0 4 5 2 -1 -2 -2 -3 -7 -7 -7 -5 -2 2 6 8 5 5 5 5 6 9 10 10 11 10 9 8 7 6 7 7 6 6 6 7 8 9 10 11 10 8 6 4 3 3 4 3 3 4 5 5 5 5 6 6 5 5 6 7 6 5 4 4 4 5 6 6 6 5 5 6 7 7 7 7 7 6 4 3 3 3 3 3 3 3 3 4 4 4 5 4 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 5 5 4 3 3 1 -0 1 3 4 4 4 4 4 4 4 4 3 3 2 2 1 0 0 0 1 3 4 4 4 4 3 3 3 4 4 3 4 5 5 5 4 4 4 4 3 3 3 3 3 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 3 3 3 3 3 3 3 3 4 3 4 3 3 4 4 4 3 3 4 4 4 5 4 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 6 5 5 6 7 10 12 14 14 14 13 11 9 8 9 11 10 8 6 6 6 7 7 6 6 6 7 8 7 7 6 7 8 7 7 6 5 4 2 3 9 14 7 2 3 0 4 3 4 -5 4 12 11 6 -0 -3 5 13 14 9 7 10 13 15 13 8 6 3 -1 2 7 10 8 4 7 6 2 3 1 2 3 6 5 7 5 7 9 7 1 -2 2 6 8 10 11 8 5 4 5 14 23 19 9 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 4 4 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 5 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 2 2 2 3 5 5 6 7 9 13 16 18 17 17 17 16 15 13 13 15 16 17 14 8 5 6 6 7 7 6 4 3 2 2 3 3 4 4 3 3 5 4 2 3 5 6 6 6 6 5 5 5 8 11 5 -4 -9 -4 4 4 4 5 5 6 6 8 9 10 12 13 10 4 -4 -10 -10 -3 1 -1 -6 -6 -4 -3 -3 -4 -4 -4 1 3 3 4 4 5 7 7 9 15 17 12 9 8 4 4 5 5 4 5 6 6 6 7 8 9 10 11 11 10 7 5 4 4 4 3 3 4 4 5 6 6 6 6 7 8 8 8 7 6 4 3 3 3 5 7 7 6 5 6 6 7 7 8 7 6 4 3 2 2 2 3 3 3 3 4 5 5 5 5 5 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 6 6 5 4 4 3 1 1 1 3 3 4 5 5 5 4 4 4 4 4 3 2 1 1 1 2 2 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 2 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 5 6 7 7 6 5 5 6 7 10 13 14 16 17 16 13 11 10 11 12 10 7 6 6 7 7 6 5 5 7 8 8 8 8 8 9 9 8 7 5 4 3 1 3 7 9 6 7 3 6 10 1 -1 2 4 11 6 7 0 -3 3 9 9 12 12 9 9 12 13 12 11 8 3 3 5 7 7 8 7 5 5 6 7 7 6 6 8 8 5 11 13 10 3 7 9 7 6 9 11 8 6 6 5 15 21 13 6 4 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 7 8 10 11 10 8 7 7 7 7 8 9 9 7 6 6 6 6 6 6 6 5 4 3 3 3 3 5 6 3 -0 2 3 -4 -8 -2 4 7 6 6 6 5 6 10 17 15 8 4 2 3 4 4 4 4 5 5 6 7 8 10 12 15 14 7 -5 -14 -13 -6 -7 -8 -5 -2 -0 2 2 3 3 4 4 3 3 4 5 7 8 10 15 18 15 10 8 5 4 5 5 4 5 6 6 6 7 8 8 9 10 11 10 8 6 5 5 4 4 3 3 4 5 5 6 5 5 6 8 9 9 8 6 4 3 3 3 4 6 8 8 7 6 6 6 7 8 7 7 4 2 2 2 2 2 3 3 3 4 4 5 5 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 7 7 6 5 5 5 4 3 1 1 1 1 3 5 6 5 4 4 4 5 5 5 4 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 4 4 3 3 3 3 3 2 2 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 8 11 13 14 17 20 19 16 13 11 12 12 10 7 6 6 6 6 5 5 6 8 9 9 9 9 10 11 10 8 6 4 3 2 1 2 5 6 6 10 7 12 9 6 1 10 3 5 4 12 8 3 1 3 3 9 9 5 4 8 13 14 11 5 3 6 6 2 4 7 5 4 6 7 9 8 5 5 8 6 7 13 13 12 7 10 8 5 6 7 7 7 7 8 9 17 18 8 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 4 4 4 5 5 6 6 6 5 5 5 5 5 5 6 5 4 4 3 3 4 5 8 9 4 3 6 1 -10 -13 -5 3 5 5 5 5 6 9 16 19 10 6 5 4 4 4 4 4 4 2 1 2 4 4 4 7 13 13 4 -8 -12 -8 -6 -3 -1 -0 2 5 4 4 5 4 4 5 5 7 7 7 7 4 4 11 13 9 7 6 5 5 4 5 6 7 7 7 7 7 7 8 9 11 11 10 7 6 6 6 4 3 3 3 3 4 5 5 4 5 6 8 9 8 6 5 4 4 4 5 7 8 9 8 7 6 6 6 7 8 7 5 3 2 1 1 2 2 3 3 3 3 4 4 3 3 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 6 7 6 6 7 6 5 4 3 2 1 2 2 4 5 5 4 4 4 5 5 6 6 6 5 3 2 2 2 2 2 3 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 3 4 4 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 6 5 5 6 8 11 14 15 17 20 21 19 15 12 12 11 8 6 5 5 6 6 5 4 6 9 10 10 9 9 10 10 9 7 5 4 3 1 0 2 5 5 6 9 10 9 6 8 7 13 6 7 14 15 13 10 2 1 2 2 1 1 3 6 12 14 11 1 -4 3 5 3 3 3 4 8 7 4 6 6 3 3 5 5 9 13 9 7 8 9 5 1 3 5 5 6 7 9 14 20 15 6 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 7 11 11 8 11 12 2 -10 -14 -8 -2 -0 1 2 5 7 10 13 9 3 3 4 4 4 2 2 1 -1 -4 -6 -4 -2 -4 -5 1 8 8 3 2 3 2 -1 -0 1 2 4 3 2 3 3 4 8 10 10 13 12 8 6 2 5 8 6 6 6 6 5 5 5 7 7 7 7 7 7 7 7 8 10 10 10 9 8 8 7 6 5 3 2 3 3 4 5 4 4 5 7 7 7 6 5 5 5 5 5 7 7 8 9 8 7 7 7 8 8 8 6 5 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 5 5 6 6 7 8 8 7 6 5 3 3 2 2 4 5 5 4 3 3 5 5 6 7 8 7 4 3 3 3 3 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 2 3 3 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 3 3 2 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 5 6 6 8 11 15 16 16 18 21 20 17 15 12 10 7 6 5 4 5 6 5 5 7 10 11 11 9 9 9 9 8 6 5 4 2 0 0 3 7 5 7 9 9 4 6 3 6 5 8 8 15 12 8 11 4 3 1 -3 -1 -1 2 6 8 12 14 6 -2 1 5 4 1 -0 6 12 6 -3 -0 3 4 3 3 5 9 10 4 1 6 7 2 -1 1 4 5 5 5 9 19 22 13 5 3 3 3 4 4 4 4 4 5 5 4 4 4 4 3 3 3 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 4 3 2 3 3 4 4 5 5 5 5 5 5 4 4 5 4 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 4 5 4 4 5 5 5 5 5 6 5 5 5 5 7 8 8 11 13 9 2 -9 -14 -11 -9 -7 -5 1 6 6 7 5 3 3 4 3 2 0 -2 -3 -3 -5 -8 -10 -6 -5 -7 -6 1 6 9 10 8 6 2 2 3 4 5 6 6 3 4 7 12 13 11 11 10 9 8 7 6 8 7 6 6 6 5 5 6 7 7 6 6 6 7 7 7 8 9 10 10 11 10 9 9 8 5 4 3 3 2 3 4 4 4 5 6 6 6 6 5 5 5 4 5 6 6 6 7 8 7 7 7 8 9 8 8 7 6 5 4 3 3 2 2 2 1 1 0 1 1 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 5 4 4 5 6 7 8 8 8 7 6 5 4 3 4 5 5 4 3 3 4 4 5 6 7 7 6 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 2 3 2 2 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 3 3 4 4 4 4 3 3 3 3 3 4 4 3 3 4 4 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 9 13 16 17 15 16 20 21 20 16 12 8 6 5 5 4 5 6 6 6 9 11 12 11 10 9 7 7 6 6 6 4 2 0 1 5 8 8 9 10 5 1 5 1 5 1 4 1 6 4 1 5 6 7 3 -0 1 -1 0 3 2 6 15 15 8 4 4 4 1 -1 5 9 4 -2 -2 2 5 5 6 6 7 8 3 -2 2 2 2 4 3 5 6 6 5 11 24 23 10 4 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 5 5 5 5 5 5 4 5 5 4 4 3 3 3 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 7 6 6 5 5 5 9 13 9 4 2 -5 -8 -9 -9 -11 -9 -2 3 5 4 3 4 4 4 2 0 -0 -0 -1 -0 -0 -3 -3 0 1 0 2 6 9 8 7 7 7 7 8 10 10 12 15 12 9 12 13 11 10 7 4 6 5 4 6 7 7 6 6 6 6 6 6 6 6 5 5 5 6 7 7 8 9 10 10 11 12 11 11 9 7 6 4 3 3 3 3 4 5 5 5 6 6 6 5 5 4 4 5 5 5 5 6 6 6 6 6 8 8 8 8 8 8 8 7 6 5 3 3 2 1 2 1 0 0 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 5 4 4 4 5 6 7 8 9 9 9 8 5 4 4 3 4 4 3 4 4 4 5 6 7 6 5 6 6 6 6 5 4 4 4 4 4 5 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 2 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 3 3 4 4 5 4 5 5 5 5 5 5 6 6 6 6 7 10 15 17 16 15 15 18 21 19 15 10 7 6 5 4 4 5 5 6 7 10 13 13 12 10 9 6 5 6 6 6 4 1 -0 1 5 8 9 9 8 2 -1 1 2 9 11 5 -1 -1 -0 -0 -1 10 14 10 5 8 4 0 -1 -2 1 7 9 11 6 3 3 1 2 5 6 4 4 3 3 4 5 7 6 4 6 7 3 2 -0 2 10 8 6 6 5 5 12 25 21 8 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 4 4 4 5 4 4 5 5 5 6 6 5 5 4 4 4 5 5 6 6 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 4 3 3 4 4 4 4 4 4 5 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 7 7 7 7 6 6 5 6 10 16 15 7 4 3 1 1 -0 -4 -11 -12 -7 -1 2 3 3 4 6 5 3 7 8 5 4 4 5 6 6 7 7 6 7 7 5 5 7 6 6 11 15 13 12 16 17 15 13 9 7 8 6 3 3 3 3 4 6 7 6 5 5 6 6 6 5 5 5 4 4 5 6 6 8 9 9 10 11 12 12 12 10 9 8 6 5 5 4 4 5 6 5 5 6 6 5 5 4 4 4 4 5 5 5 5 6 6 5 5 6 6 6 7 7 8 9 9 9 8 7 5 4 4 4 3 2 2 1 1 -0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 3 3 3 3 3 4 4 5 6 8 9 11 11 9 5 3 3 2 3 4 4 5 5 4 5 6 6 6 7 7 8 7 7 6 6 5 5 5 6 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 12 16 19 19 17 16 17 18 16 11 8 6 6 5 5 5 5 6 6 8 12 14 13 11 10 8 6 4 5 6 6 4 0 -1 1 5 7 8 7 7 4 1 -1 4 12 21 13 4 -0 0 4 -1 11 17 14 11 15 10 2 -4 -3 1 1 -1 7 9 7 6 3 4 7 6 5 6 7 5 3 5 6 6 4 7 10 8 3 1 5 9 8 7 6 5 6 12 23 20 8 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 5 4 4 4 5 5 6 6 7 6 6 6 6 5 5 5 5 4 4 4 5 5 5 5 5 6 5 5 4 3 3 4 4 4 4 5 5 5 5 4 3 3 3 3 4 4 4 4 4 4 5 5 4 5 5 6 6 7 7 7 7 6 6 7 9 15 21 18 9 4 5 7 7 5 -1 -7 -12 -10 -4 0 0 1 3 6 6 8 10 7 6 5 6 7 7 7 7 7 7 6 6 7 5 4 4 9 12 11 9 10 11 11 8 5 4 5 6 5 4 3 3 4 5 6 6 5 5 6 6 5 5 4 4 4 4 4 5 6 6 7 8 9 10 12 12 11 10 9 9 7 7 7 6 5 5 5 6 5 5 6 6 6 5 4 4 4 4 5 5 5 6 6 6 5 5 5 6 5 4 6 7 9 11 11 10 8 7 7 7 6 5 4 4 3 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 1 1 2 2 2 2 3 4 4 4 5 7 9 13 12 9 5 3 2 2 3 4 4 5 5 6 5 5 6 7 7 8 8 8 8 7 7 6 6 7 7 7 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 5 8 14 20 23 22 19 17 16 14 12 8 7 6 6 5 5 5 6 6 7 10 13 14 12 11 10 8 5 4 5 7 6 3 0 -1 1 2 7 10 5 6 6 3 1 4 9 16 13 8 2 1 5 2 6 9 10 16 14 10 4 -1 1 3 2 0 5 10 9 7 3 3 6 8 5 4 8 8 4 4 6 8 9 7 7 5 2 4 7 5 4 5 6 5 6 14 23 20 8 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 6 7 6 5 4 5 4 5 6 6 6 7 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 3 4 4 4 3 3 4 4 4 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 8 11 17 23 19 12 10 9 7 7 7 5 -1 -8 -8 -4 -4 -4 -3 -2 -1 1 4 6 6 5 5 6 6 7 6 6 7 8 8 7 8 9 6 6 7 5 5 5 6 6 6 5 5 5 6 6 5 4 4 4 4 5 5 6 6 5 5 6 5 4 4 4 4 4 4 5 5 6 6 7 8 9 10 10 10 10 9 7 8 9 8 7 6 4 4 4 4 5 6 6 5 4 4 3 4 4 5 5 6 6 7 6 6 6 6 5 4 3 4 7 9 10 10 9 9 9 8 8 7 6 7 7 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 1 1 1 1 1 2 3 3 3 3 3 4 6 10 13 12 8 5 4 3 3 3 4 4 5 5 5 5 6 6 6 7 7 8 8 8 7 7 7 7 7 8 7 6 6 6 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 4 4 3 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 5 4 5 6 6 6 6 6 12 23 28 23 19 18 17 15 12 9 7 6 6 6 5 5 6 7 7 8 11 13 13 11 11 10 8 5 4 5 6 4 1 0 1 1 3 9 12 6 5 6 5 4 7 8 7 8 7 2 5 9 6 3 1 4 14 8 4 3 4 5 4 4 3 3 7 9 6 3 4 7 9 6 4 9 11 6 5 7 9 11 8 5 4 4 6 6 3 2 3 5 5 6 14 23 20 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 6 7 6 5 5 5 5 5 5 6 6 6 6 5 6 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 7 11 15 19 20 19 17 12 8 8 8 7 1 -4 -3 -2 -3 -3 -5 -6 -4 0 4 8 7 4 5 7 7 5 6 10 13 13 12 13 14 9 4 3 3 4 5 6 7 7 6 5 5 6 6 6 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 5 4 5 5 6 7 8 8 9 10 12 10 8 10 10 9 7 6 4 3 3 4 5 6 6 5 4 4 3 3 4 4 5 6 7 7 8 8 8 5 4 2 3 4 6 7 7 7 8 8 8 8 8 8 8 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 2 1 1 1 1 1 2 2 2 2 2 3 4 7 10 11 9 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 7 7 7 7 8 8 8 8 8 8 7 7 7 5 5 5 5 4 5 4 4 4 4 3 3 4 4 4 4 4 5 5 5 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 5 4 4 3 3 4 5 5 5 6 5 5 5 5 6 7 7 8 22 37 32 15 11 15 17 14 10 8 7 7 7 6 5 5 6 8 8 10 12 13 13 12 10 10 8 5 3 3 2 0 -0 1 2 2 7 8 12 8 4 7 5 2 8 11 7 6 3 1 8 11 9 4 1 3 7 4 2 3 6 7 3 3 3 4 5 6 6 4 4 7 8 7 8 11 11 7 5 6 8 9 9 9 8 9 10 4 1 1 3 5 5 4 10 21 24 12 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 6 5 5 5 4 4 5 5 6 6 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 4 4 4 4 4 3 3 3 3 3 3 4 3 4 3 4 4 4 5 5 5 5 4 4 5 5 5 5 7 11 15 18 21 21 14 10 10 11 8 7 7 6 4 3 3 2 1 4 7 7 8 9 10 8 9 7 7 13 17 16 14 13 10 6 3 3 4 5 6 8 8 8 7 6 6 6 7 6 6 5 5 6 5 5 4 4 4 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 9 11 9 9 10 10 10 8 5 3 3 3 3 5 6 7 6 5 3 3 3 4 4 5 6 7 8 9 9 7 5 3 2 2 3 4 5 5 6 6 7 8 8 8 8 9 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 2 2 2 1 2 1 2 2 2 2 2 3 5 7 8 8 7 6 6 5 6 6 5 4 3 3 3 3 3 3 3 4 4 5 6 6 7 8 8 8 8 8 8 7 7 6 6 5 4 4 4 5 5 4 4 3 4 4 4 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 3 4 4 4 4 4 5 5 5 4 3 3 4 5 5 6 6 5 5 5 6 6 7 8 13 31 41 22 2 3 12 15 13 10 8 8 8 7 6 6 6 7 8 9 11 13 13 12 12 10 9 6 4 2 0 -2 -2 -0 3 5 7 9 6 10 12 6 6 5 2 2 4 6 5 1 1 4 7 7 4 3 2 3 7 6 6 6 6 6 4 4 5 4 3 3 3 3 5 6 8 10 10 7 6 6 4 5 6 8 10 13 13 12 4 2 3 3 4 5 4 8 17 26 18 5 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 3 3 3 3 3 3 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 5 6 9 13 17 17 14 14 16 15 16 19 17 11 9 11 10 7 10 15 12 9 15 15 10 12 10 7 12 14 11 8 7 5 3 3 3 5 6 8 10 10 8 7 6 6 6 7 7 6 6 5 6 6 5 4 4 4 4 5 6 7 7 5 5 4 4 4 3 3 4 4 4 3 4 4 4 4 5 6 7 8 9 10 11 10 8 6 4 3 3 3 5 7 8 7 4 4 3 3 3 4 5 6 8 9 9 9 6 4 3 2 2 3 4 4 4 4 5 7 8 8 8 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 3 3 3 3 3 2 2 1 2 1 2 3 3 4 5 6 6 5 5 5 5 6 7 6 5 4 3 3 3 3 3 3 2 2 3 4 5 6 6 7 7 7 8 8 8 7 8 7 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 5 5 6 5 4 3 3 4 5 6 6 6 6 5 5 6 7 8 11 19 29 26 9 -2 2 9 13 12 10 9 8 7 7 6 6 7 8 8 10 12 13 13 12 11 9 8 5 2 -1 -3 -4 -1 2 4 7 9 8 5 7 9 7 6 6 3 1 2 5 5 4 5 4 2 2 5 6 4 6 13 12 9 7 7 8 7 10 6 3 2 1 7 4 3 5 6 8 6 3 5 6 4 1 -1 5 13 16 15 13 9 6 4 3 2 3 4 6 17 27 20 5 3 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 5 5 4 3 3 3 4 4 4 4 3 3 3 4 5 4 5 5 5 5 5 4 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 4 5 5 5 5 5 4 4 4 4 5 4 4 5 5 8 11 13 13 13 13 15 19 22 18 14 17 14 12 13 16 17 16 17 16 14 13 11 7 7 8 6 3 2 2 2 3 4 6 8 10 11 11 8 7 6 6 7 7 6 6 6 6 6 6 6 6 4 3 3 4 6 7 8 7 6 4 4 3 3 3 3 3 4 3 3 3 3 3 4 4 5 6 8 9 10 11 11 9 7 5 4 3 3 6 9 9 7 4 3 3 3 3 4 5 6 8 9 9 8 6 4 2 1 2 3 3 3 3 4 6 9 9 8 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 4 4 4 4 4 4 3 3 2 2 2 2 2 3 3 4 5 5 4 4 3 4 5 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 4 5 5 6 6 7 7 8 8 8 8 8 7 6 5 5 5 4 4 4 4 5 5 5 6 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 2 2 3 3 2 4 4 4 4 3 3 3 3 3 4 4 3 4 4 5 5 4 5 5 6 6 5 4 4 3 4 5 6 6 7 6 5 5 6 8 10 14 22 24 15 3 3 5 6 12 14 10 8 7 7 6 6 6 7 8 8 10 11 12 11 11 10 8 6 4 0 -4 -5 -2 4 7 5 5 7 6 9 7 3 4 6 7 7 7 6 4 3 5 9 7 2 1 7 10 9 11 13 13 9 6 6 7 10 12 8 5 5 5 8 6 6 6 -1 2 3 3 5 6 8 2 -2 3 10 15 17 13 11 6 3 1 1 4 5 5 18 29 18 4 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 4 4 3 3 3 4 4 5 4 3 2 2 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 3 3 4 5 5 5 4 4 4 4 5 4 5 4 4 4 5 6 8 8 7 6 6 9 12 16 16 16 15 11 11 9 11 13 13 13 11 9 9 7 5 5 4 2 2 2 2 3 4 6 9 11 12 11 8 6 6 6 6 6 6 6 6 6 5 6 6 6 6 4 3 3 5 6 8 8 6 4 4 3 3 3 2 2 3 3 3 3 3 3 3 4 4 5 6 7 9 11 11 11 10 8 6 5 3 4 6 8 10 7 4 3 4 3 4 5 6 7 9 10 9 8 6 3 2 2 2 2 2 2 3 5 8 9 8 7 8 8 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 5 5 5 5 5 5 5 5 5 4 3 3 2 2 2 2 3 4 4 3 2 3 4 4 5 5 5 5 4 4 3 4 5 6 6 5 4 3 3 3 4 4 4 5 5 6 7 7 8 8 9 8 7 7 6 6 5 4 4 4 5 6 5 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 3 3 3 4 4 3 3 3 4 4 4 4 4 5 5 5 5 6 5 4 4 4 4 4 5 6 7 8 6 5 5 7 9 14 19 24 22 6 -1 8 7 5 11 13 10 9 7 6 5 5 6 7 8 9 10 11 10 10 10 9 7 5 1 -3 -5 -4 1 8 10 2 -1 7 13 16 6 0 -2 1 7 11 12 7 -0 -2 4 8 7 4 5 9 11 11 10 9 9 7 4 4 5 7 7 5 3 6 9 7 3 6 6 -1 0 3 6 5 3 10 9 5 5 4 11 19 14 11 6 2 -3 -0 9 12 8 18 29 16 4 3 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 4 4 4 3 3 3 4 5 5 5 4 3 2 3 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 5 5 5 5 4 3 3 4 5 6 6 6 6 5 4 4 3 3 3 3 4 4 3 3 2 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 5 7 8 9 7 5 5 5 6 7 8 7 6 6 6 5 4 4 3 2 2 2 3 5 7 9 11 10 8 6 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 5 3 4 5 6 7 7 5 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 5 6 7 9 10 12 12 11 10 8 5 4 3 6 9 9 7 5 4 4 5 5 6 7 8 9 10 9 8 6 4 2 2 2 3 3 4 5 7 9 8 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 5 5 5 5 6 6 6 5 4 4 3 2 2 2 2 3 4 3 2 1 2 4 5 5 4 4 4 4 4 4 5 7 8 8 7 5 3 3 3 3 3 3 4 5 6 6 6 7 7 8 7 7 7 7 6 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 5 5 5 4 4 3 2 2 2 3 3 3 3 2 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 5 4 4 5 5 6 5 4 4 5 5 4 5 6 8 8 6 5 6 8 13 20 25 24 16 1 0 8 6 6 9 10 10 9 8 7 5 5 7 7 8 9 10 10 9 8 8 8 6 2 -3 -5 -3 0 4 7 7 3 1 6 9 9 3 -3 -5 1 7 10 11 6 3 5 7 5 4 5 6 8 10 10 8 7 6 3 2 2 3 5 4 1 2 5 9 5 -3 0 8 7 7 7 8 2 -0 9 13 11 9 7 10 20 20 12 6 0 -6 0 13 16 10 17 29 17 5 4 4 4 4 4 4 3 3 4 5 4 4 4 3 4 4 4 4 3 3 3 3 4 5 6 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 4 3 3 3 4 5 6 7 7 7 6 5 4 3 3 3 4 4 4 4 3 3 4 4 5 5 5 5 5 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 2 2 3 4 3 3 4 4 4 5 6 7 7 6 6 5 5 4 3 2 2 2 3 5 7 8 8 7 5 3 3 4 4 3 3 4 4 4 5 6 6 6 6 6 6 7 5 3 3 4 6 7 6 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 5 6 7 9 11 12 12 12 10 8 5 3 5 7 9 9 9 6 4 5 5 6 7 7 8 9 9 9 8 6 4 3 2 3 3 4 5 6 8 8 8 7 7 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 5 5 5 5 4 4 4 5 5 6 6 6 5 4 4 3 3 2 3 4 5 3 2 2 3 4 5 5 5 4 3 3 4 5 7 8 9 8 7 6 4 3 2 2 2 3 3 4 4 5 5 5 6 6 6 7 7 7 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 6 6 8 12 21 28 25 16 6 2 6 6 3 3 4 6 8 9 9 7 6 6 7 7 8 9 10 9 8 8 8 6 2 -3 -6 -4 0 4 5 3 -0 -1 3 6 2 1 5 -3 1 7 4 6 8 5 6 13 13 4 2 4 6 9 10 8 6 6 5 3 1 1 1 3 2 1 3 5 7 5 -4 -1 12 14 10 10 6 -3 -0 4 7 11 17 16 11 19 25 14 4 -3 -5 2 12 12 9 16 29 19 5 4 4 4 4 4 4 3 4 5 4 4 4 4 4 4 5 5 4 3 3 3 3 3 4 6 7 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 3 3 4 3 4 4 4 4 3 3 3 3 4 4 5 5 6 6 6 5 4 4 4 5 5 5 5 5 5 6 7 7 7 6 4 3 3 4 4 5 4 4 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 2 3 3 3 4 4 4 4 4 5 6 7 7 7 6 5 4 3 3 2 3 4 6 7 7 5 4 2 1 2 2 2 2 2 1 1 2 4 5 6 6 6 6 6 8 7 4 3 3 5 7 6 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 4 4 4 5 6 8 11 12 13 13 12 10 7 5 4 5 7 10 11 9 6 5 6 7 7 7 7 9 9 9 8 7 5 3 2 2 3 3 3 5 6 7 7 7 7 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 4 5 4 4 3 3 3 3 4 5 6 6 6 6 5 5 4 3 3 3 5 6 6 4 3 3 4 5 5 4 4 3 4 4 5 7 8 9 9 8 6 4 3 2 2 2 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 3 3 3 3 3 3 4 4 5 5 5 6 6 7 6 6 6 6 6 6 6 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 6 6 6 6 7 7 7 8 13 23 30 28 18 7 -1 6 10 1 -7 -6 -1 5 8 8 8 7 7 7 7 7 7 8 9 9 7 7 7 3 -3 -7 -5 -0 2 4 5 6 3 -2 -4 -0 4 5 5 0 8 12 4 3 6 5 7 9 8 2 2 3 6 11 10 6 5 6 6 6 5 3 1 1 2 4 6 3 4 5 -1 3 16 19 8 6 4 -4 2 4 3 7 13 14 13 24 29 15 3 -4 -4 4 8 6 7 16 30 21 6 5 5 4 4 4 3 4 4 5 4 3 4 4 4 5 5 4 4 4 3 3 3 3 4 5 7 7 7 6 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 6 6 6 5 5 4 4 4 5 6 6 5 6 6 6 7 8 7 7 5 3 3 4 4 4 4 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 2 3 3 3 3 4 4 4 4 4 4 5 5 7 7 8 7 6 5 4 4 5 6 6 6 5 4 2 1 1 1 1 1 1 1 2 0 -1 3 5 5 6 7 6 7 7 7 6 4 3 4 5 5 5 5 4 4 3 3 2 2 2 2 2 2 3 3 3 4 3 3 4 5 7 9 11 13 14 13 12 10 6 4 4 5 8 12 11 8 6 6 7 7 7 8 8 9 9 8 8 7 4 3 2 2 2 2 3 4 4 4 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 3 2 2 3 4 5 5 6 6 6 6 6 6 5 4 4 4 6 8 6 4 3 4 4 4 4 3 3 3 3 3 4 6 8 8 8 7 5 5 4 3 2 2 2 2 2 2 2 2 2 3 4 4 4 4 3 3 2 2 2 2 2 2 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 6 5 5 5 4 4 4 4 4 3 4 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 6 7 7 6 7 8 9 13 23 32 31 20 6 2 4 11 6 -8 -16 -12 -2 5 8 7 7 7 7 7 7 6 6 8 9 9 8 7 5 -0 -6 -7 -3 1 3 5 5 6 7 7 6 4 4 5 2 1 11 16 8 5 6 9 13 9 1 1 2 1 5 11 9 7 8 6 4 6 9 7 4 2 3 6 7 6 5 4 2 5 17 19 5 2 3 -3 3 5 1 4 10 10 17 30 30 15 3 -3 -3 5 8 5 4 13 31 25 7 5 5 4 4 4 3 4 4 4 4 3 4 4 4 5 5 4 4 4 3 3 3 3 3 4 6 7 7 6 6 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 4 3 4 4 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 9 9 7 5 3 3 3 4 3 3 3 4 3 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 5 4 4 5 5 4 4 3 3 3 3 3 3 4 4 4 3 4 4 5 5 6 7 8 8 7 6 6 7 7 7 6 5 3 2 1 1 2 2 2 1 2 5 5 -0 0 4 5 6 7 7 7 7 7 7 5 4 3 4 5 6 6 5 4 3 3 3 2 1 1 2 2 3 3 3 4 3 3 3 4 5 7 9 12 14 15 14 11 8 5 4 3 5 9 10 9 6 7 8 8 7 7 8 8 8 8 8 7 7 6 3 2 2 2 2 2 3 3 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 5 4 3 2 2 2 3 3 4 5 6 6 6 6 6 6 6 6 6 5 5 5 7 7 5 4 5 5 4 4 3 2 2 2 2 3 4 5 6 7 7 7 6 6 5 4 2 1 1 1 2 2 2 2 2 3 4 4 4 3 2 2 2 2 1 1 2 2 3 3 4 4 4 5 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 4 6 7 8 7 7 7 9 14 21 29 30 23 12 -3 -3 5 -2 -10 -14 -14 -7 2 8 9 7 6 7 7 7 7 6 6 8 9 9 8 7 2 -4 -6 -4 -1 2 6 6 8 7 4 5 9 8 4 2 1 3 11 16 13 13 10 12 15 11 2 -2 -1 3 6 9 8 7 9 5 1 4 6 6 4 3 6 10 8 7 9 8 1 1 14 13 3 1 -2 -4 5 3 -1 4 10 8 20 34 27 11 0 -2 3 9 10 6 4 11 27 25 8 6 5 5 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 4 4 5 6 5 6 5 5 5 5 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 7 9 11 12 9 5 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 4 4 4 5 4 4 4 4 4 4 5 6 8 9 9 8 8 8 8 7 5 4 3 3 2 3 4 4 3 2 2 6 8 4 1 3 4 5 6 7 7 7 7 7 6 5 4 3 4 6 6 6 5 3 3 3 3 1 0 2 2 2 3 3 4 3 3 2 3 4 6 7 9 12 15 14 12 10 7 5 3 3 5 7 7 7 8 8 7 7 7 8 7 8 8 8 8 9 8 5 4 3 3 3 2 3 4 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 6 5 4 3 3 3 3 4 5 6 6 6 6 5 5 6 7 7 7 6 6 6 6 6 5 5 5 6 5 4 3 3 2 2 1 1 2 3 4 5 6 6 7 7 8 7 4 2 1 1 2 2 2 2 3 4 4 4 4 4 3 2 1 1 1 1 1 2 2 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 6 5 5 5 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 8 8 8 8 10 14 19 23 24 19 15 9 -3 -8 -8 -22 -19 -9 -3 3 7 10 8 6 6 6 6 7 8 7 7 9 9 8 7 4 -2 -5 -4 -1 1 4 9 9 9 12 8 4 1 -2 -1 1 3 6 9 15 20 19 12 11 10 8 3 -1 1 6 8 8 7 7 6 2 3 7 5 3 2 1 4 7 7 9 15 13 1 -2 9 10 2 1 -4 -6 7 7 1 2 1 3 21 35 25 8 -1 -1 6 11 11 7 5 13 24 20 8 6 6 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 5 6 7 7 7 6 6 6 6 6 6 4 3 3 3 3 3 3 3 3 3 4 5 4 4 4 3 3 5 7 11 13 11 6 3 3 3 3 4 4 4 5 5 5 4 4 3 4 4 4 3 3 3 4 3 4 4 4 4 4 4 3 4 3 4 5 4 4 3 3 3 4 4 4 5 4 4 3 3 4 4 5 6 7 9 10 10 9 8 8 7 5 4 3 3 4 4 5 5 3 2 2 5 8 6 3 5 5 5 6 7 7 6 6 6 6 6 6 5 4 5 6 6 5 3 2 2 4 3 1 2 2 2 2 3 3 3 3 3 3 3 4 5 7 9 12 14 13 12 9 7 5 3 3 3 3 6 9 8 6 6 8 8 8 8 8 8 8 9 8 7 6 6 5 4 4 5 5 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 5 5 5 4 4 5 6 7 7 7 5 4 5 5 7 7 7 7 7 6 6 5 5 5 6 5 5 5 4 3 3 2 2 2 2 3 3 4 5 6 7 9 9 8 5 3 3 3 2 2 3 3 4 5 5 5 4 4 3 2 1 1 1 1 1 2 2 3 3 3 4 3 3 3 3 4 4 4 5 5 6 7 7 7 8 7 8 7 7 7 6 5 6 6 5 5 5 5 4 5 5 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 4 5 5 7 9 9 11 13 16 19 18 17 13 8 8 6 -2 -10 -15 -17 -9 2 7 9 10 9 6 5 5 6 6 7 8 9 10 11 9 8 6 2 -3 -3 0 -2 3 4 9 10 9 10 6 0 -1 -3 -1 1 5 7 9 16 23 19 10 7 8 6 1 1 5 8 9 6 6 7 6 2 9 13 7 4 1 -2 -0 3 4 7 11 11 7 2 6 13 11 9 1 -4 3 10 5 1 1 11 26 30 19 5 -1 1 7 11 10 7 6 15 25 17 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 4 4 5 5 4 5 5 5 5 5 5 4 3 3 4 4 4 4 4 6 6 6 6 6 6 6 6 5 5 5 4 3 2 3 3 4 4 5 4 4 5 5 5 4 3 2 2 2 3 7 11 12 8 6 4 4 4 4 5 6 6 6 5 4 3 2 3 4 4 3 3 3 3 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 3 3 3 4 4 4 5 4 4 3 3 4 4 5 6 7 9 9 9 8 7 6 5 5 4 3 4 4 5 4 3 1 2 5 7 6 6 6 5 5 5 6 7 6 6 6 6 6 7 6 6 6 6 6 5 3 2 2 4 4 3 2 2 2 2 2 2 3 3 4 3 3 3 4 5 7 9 12 13 13 12 9 7 5 2 0 0 3 6 7 6 6 7 8 9 9 8 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 6 5 4 4 5 6 6 7 7 6 5 4 4 5 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 3 3 3 2 1 1 1 2 4 5 7 8 9 8 6 5 5 4 2 2 2 3 3 4 5 6 5 5 4 3 2 2 2 1 1 1 2 2 2 3 3 4 3 3 3 3 3 4 4 4 5 6 7 7 7 7 8 8 8 8 7 6 6 6 5 5 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 6 5 9 13 11 15 18 18 17 13 10 5 1 6 9 5 -3 -4 -0 5 10 11 11 9 6 5 4 5 6 6 8 9 9 11 12 11 8 4 0 -3 -1 1 -1 4 3 2 6 7 7 2 -3 -5 -3 -1 5 11 7 7 13 15 10 7 7 9 5 2 2 6 8 9 6 4 7 7 5 11 15 11 6 1 -2 2 5 4 4 2 5 11 9 7 12 15 13 8 1 -4 10 14 11 10 18 25 22 10 2 -1 0 6 9 7 5 6 16 26 18 7 6 6 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 2 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 2 2 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 3 3 3 2 3 3 4 6 7 7 5 4 4 4 3 3 3 2 1 1 3 6 9 9 7 6 5 5 5 6 6 6 5 4 3 2 2 3 4 3 3 3 3 3 4 4 5 4 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 3 3 4 4 4 5 7 8 8 8 7 7 6 5 4 5 4 4 4 5 3 2 2 3 5 6 7 7 6 6 5 4 5 6 6 6 6 6 6 6 6 7 7 7 7 5 3 2 2 3 4 3 3 3 2 2 2 2 3 4 4 3 3 3 3 4 5 6 9 11 12 12 11 9 7 5 1 0 1 3 5 5 6 5 6 7 8 8 8 7 8 8 7 7 8 8 8 8 7 7 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 7 5 5 5 4 4 5 5 6 6 6 5 4 4 4 5 7 7 7 6 7 6 5 4 4 4 4 4 3 3 3 3 3 2 2 1 1 1 4 6 6 6 6 6 6 5 4 4 3 2 2 2 3 3 4 5 6 6 6 4 3 3 2 1 1 1 1 1 2 3 3 4 4 3 3 3 4 3 3 3 4 5 5 6 6 6 7 7 7 7 7 6 6 6 5 5 5 5 5 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 4 4 4 6 6 6 7 11 14 14 16 15 12 11 11 9 5 9 17 18 12 7 8 11 12 13 12 9 7 5 4 4 4 5 7 9 10 10 11 11 10 8 4 -1 -3 -0 3 5 6 4 -1 3 5 6 8 9 5 -1 1 9 12 4 3 7 4 0 4 6 10 10 6 4 6 11 9 5 3 6 10 11 11 12 11 7 1 2 6 5 3 3 4 5 6 8 10 9 7 5 9 8 -5 5 19 22 19 18 17 9 1 1 -2 -1 6 9 7 5 7 18 24 15 6 6 6 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 6 5 4 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 5 4 4 3 3 2 3 3 4 3 3 4 4 4 4 4 3 3 2 2 3 4 4 3 2 2 2 3 5 6 7 6 4 3 2 2 3 3 3 2 1 1 1 2 4 5 6 5 6 6 6 5 6 5 3 2 2 2 2 3 3 3 4 3 3 4 4 5 5 5 4 4 4 5 5 5 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 3 3 3 4 5 5 6 7 6 6 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 6 7 7 6 5 4 4 5 6 7 6 6 6 5 5 6 7 7 7 6 4 2 2 2 3 3 3 3 2 2 1 2 3 3 4 4 4 4 4 3 4 5 6 9 11 12 11 10 10 9 6 3 2 3 4 5 4 4 4 5 7 7 6 6 7 9 9 8 8 8 7 7 7 6 6 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 3 4 4 4 4 4 5 5 5 4 3 3 4 5 6 6 4 4 5 6 7 7 7 7 7 6 5 4 3 3 2 2 3 3 3 3 3 3 2 2 2 5 7 8 6 5 5 4 4 4 3 2 2 1 1 2 2 3 4 6 7 7 5 4 3 2 2 2 2 1 1 2 2 2 3 4 4 4 4 4 4 4 3 3 4 4 5 5 5 6 6 6 5 6 6 6 5 5 5 5 4 4 3 3 4 3 3 4 4 4 5 5 5 5 5 5 5 4 4 5 6 6 7 8 13 17 16 12 8 7 10 12 11 12 20 22 14 9 10 12 13 13 11 10 7 6 4 4 4 5 5 8 11 12 12 11 9 8 8 7 2 -1 0 5 8 9 6 3 4 5 2 7 11 13 8 7 12 7 -2 1 5 -0 -2 2 2 8 17 13 3 2 11 9 4 4 9 14 17 15 14 10 2 -2 6 11 8 2 1 6 4 3 10 10 4 5 5 7 12 -1 -6 9 26 25 15 4 -4 -4 1 -1 1 8 10 8 6 7 16 24 16 6 5 6 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 5 6 6 5 4 3 3 3 3 3 3 3 4 3 3 3 4 4 5 5 5 4 4 4 3 2 2 3 3 3 2 2 3 4 4 4 3 2 1 1 3 5 4 5 4 3 2 3 4 5 5 5 4 3 3 2 2 3 3 3 3 2 2 2 1 1 2 2 3 3 4 4 4 4 3 2 2 2 2 3 3 3 4 4 4 4 5 5 6 5 5 4 4 5 6 6 6 6 5 5 6 5 5 5 5 5 6 6 5 5 5 4 4 3 3 3 4 4 5 5 5 5 4 4 4 3 4 5 5 6 7 7 5 4 4 5 5 6 6 7 6 6 5 4 5 6 7 6 6 6 6 5 5 5 6 7 6 5 4 3 4 4 4 4 3 2 2 2 2 3 4 4 4 4 4 3 4 4 4 4 7 9 10 10 10 11 12 11 8 5 4 4 4 3 3 3 4 4 4 4 4 5 7 9 10 8 6 6 6 5 5 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 2 2 3 5 7 7 6 4 2 3 5 6 7 6 5 4 6 7 8 7 7 7 7 7 5 4 2 2 2 2 2 3 3 4 3 3 3 3 5 8 10 7 6 5 4 4 3 3 2 1 1 1 1 1 2 3 5 7 8 7 5 3 2 2 2 2 2 2 1 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 6 6 7 9 12 17 18 13 8 6 9 12 11 8 14 14 6 -2 2 8 11 11 10 8 7 7 6 5 5 6 6 7 9 12 14 14 12 8 6 7 8 5 1 1 4 8 9 8 9 9 6 5 3 6 8 6 10 21 5 -4 4 5 2 6 7 2 7 19 14 0 -1 8 11 10 11 12 13 12 15 17 10 -1 -6 3 11 9 1 6 13 6 7 16 6 -1 10 15 12 11 5 -5 6 27 22 6 -8 -11 2 7 4 7 9 8 7 6 6 13 25 21 8 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 5 6 6 5 4 3 3 3 3 3 3 3 4 4 3 3 4 4 5 6 6 4 4 3 3 2 2 3 3 3 2 2 3 3 3 2 2 1 1 3 8 10 9 6 4 3 3 5 5 5 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 1 2 2 2 2 3 3 2 2 2 2 3 3 3 3 4 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 5 5 5 5 4 3 3 2 2 3 3 3 4 4 4 3 3 4 4 5 6 7 8 9 8 5 4 5 7 6 7 7 7 6 5 4 4 5 5 6 6 6 6 6 5 5 6 6 6 5 6 6 7 7 6 6 4 2 1 2 3 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 8 10 12 14 13 10 7 5 3 3 3 2 3 3 3 3 3 3 4 7 7 5 4 4 5 5 4 3 2 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 1 0 -0 0 1 4 7 8 8 6 3 3 4 6 8 8 5 4 5 7 8 8 7 7 7 8 8 7 5 3 2 2 2 2 3 4 4 4 4 4 5 8 10 9 6 5 4 3 3 3 2 2 1 1 1 1 2 3 4 7 10 9 6 3 3 2 2 1 1 2 1 2 2 2 3 3 3 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 6 6 9 15 18 17 13 8 6 7 9 11 8 2 7 2 -11 -9 2 8 9 8 7 6 7 7 7 7 7 8 7 9 12 15 16 16 12 7 6 7 4 2 1 3 6 6 4 6 12 12 9 4 -1 -1 2 7 15 20 2 -2 6 4 5 14 11 2 6 10 4 1 4 6 11 16 15 11 10 6 8 13 7 1 -2 4 9 2 -0 9 12 8 12 12 1 -0 9 14 13 11 16 10 19 28 15 -6 -18 -7 18 23 18 18 13 8 5 5 6 13 25 23 9 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 4 3 3 3 3 3 3 4 4 3 3 3 3 4 4 5 5 4 4 4 3 2 1 2 3 3 2 2 2 2 2 2 2 1 2 5 13 18 15 9 4 4 5 7 7 5 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 5 5 6 6 6 7 7 7 7 7 6 6 7 7 6 5 5 4 4 4 4 4 4 4 4 2 1 1 1 2 2 3 4 3 3 4 5 6 6 7 10 12 11 6 4 6 7 7 8 7 6 6 6 5 4 4 4 6 6 7 6 6 6 5 5 5 5 6 6 6 7 8 8 8 7 5 2 2 3 4 4 4 4 4 4 4 4 4 3 4 4 5 5 6 7 8 11 14 17 15 11 7 4 4 3 2 2 3 4 3 3 1 2 3 4 3 3 3 3 4 4 3 2 1 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 1 0 0 1 2 5 6 7 7 5 4 4 5 7 8 6 4 5 7 7 8 8 7 7 8 9 9 8 6 4 2 2 2 2 3 4 4 4 5 5 7 9 9 6 4 3 2 2 2 2 2 2 2 1 2 2 3 5 7 10 11 8 5 3 2 1 1 1 1 1 2 2 2 3 3 3 3 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 6 6 6 9 17 18 13 8 7 7 7 8 8 4 2 4 -2 -11 -3 5 6 6 4 4 5 6 8 10 10 10 9 9 10 14 16 18 16 10 7 7 7 2 -0 2 7 9 5 1 3 8 9 8 4 -3 -5 -2 5 19 10 -3 2 5 3 12 23 12 -1 0 1 3 12 13 9 11 13 12 10 8 6 6 7 1 5 7 7 7 1 3 3 1 6 11 5 2 7 11 10 4 8 20 18 28 26 8 -14 -17 6 27 31 29 25 16 9 6 4 5 13 24 24 11 4 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 4 3 4 4 4 3 3 3 2 3 3 4 5 5 5 4 3 2 2 2 3 3 2 1 1 2 2 2 3 2 2 6 13 20 20 14 8 6 8 9 7 5 4 4 4 4 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 4 4 5 6 5 6 6 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 5 3 2 2 3 4 4 4 5 5 4 2 1 0 1 1 2 3 3 3 4 6 6 6 7 10 14 15 8 4 5 7 10 10 8 6 5 5 5 5 4 4 5 6 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 8 7 6 5 5 4 4 3 3 3 3 4 4 4 4 3 3 4 4 5 6 6 8 12 17 19 16 10 6 3 2 1 1 2 3 3 3 2 1 0 2 2 2 2 2 3 3 3 3 1 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 4 3 2 2 2 2 2 3 4 5 6 6 4 4 6 7 6 5 4 5 7 7 7 7 6 7 8 10 10 9 6 4 2 3 3 3 4 5 5 5 5 6 7 8 7 5 3 2 1 2 2 3 3 3 3 2 3 4 5 6 10 13 11 7 3 2 1 1 1 1 0 0 1 1 2 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 5 6 6 6 7 15 18 12 9 8 7 6 7 8 5 5 5 -0 -4 1 4 4 3 2 4 4 5 8 11 12 12 11 11 11 12 16 18 14 8 5 7 6 4 3 4 8 14 10 3 3 4 5 7 7 3 1 -4 -1 10 -0 -1 9 6 2 14 27 13 2 -1 -1 9 20 15 9 8 6 7 8 5 5 9 8 1 4 11 10 6 -0 -2 -3 -1 6 6 0 4 11 11 7 2 7 13 18 30 25 5 -11 -4 13 20 22 24 21 14 9 7 4 4 10 22 26 14 5 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 3 3 4 4 4 4 3 3 4 4 3 2 2 3 3 4 5 5 4 3 3 2 2 3 4 2 1 1 1 2 3 3 3 2 4 9 14 17 16 13 10 9 8 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 7 7 7 7 7 7 8 7 7 7 7 6 5 4 2 2 2 3 5 5 6 6 6 5 4 1 0 1 1 3 3 3 3 4 5 6 7 7 8 12 14 9 4 3 5 9 10 10 8 6 5 5 5 4 3 4 5 6 6 6 6 6 6 6 6 6 7 7 6 6 7 7 7 8 8 8 6 5 3 2 2 2 3 4 5 5 5 4 3 3 4 4 4 4 6 9 13 18 19 15 10 5 2 1 2 2 2 2 2 2 1 1 1 2 1 1 1 2 3 3 3 2 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 3 3 3 3 2 2 2 3 6 7 5 4 5 6 7 5 5 5 5 6 7 6 5 6 6 8 10 10 8 6 3 3 4 4 4 4 4 5 5 5 5 7 7 8 6 4 2 2 2 3 3 3 4 3 4 4 4 6 9 13 14 10 5 2 2 1 1 1 -0 -0 -0 0 1 2 3 3 3 3 3 4 4 5 5 6 5 5 5 4 4 4 4 4 5 6 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 5 6 7 6 6 11 18 17 12 10 8 6 8 8 4 6 5 0 0 3 3 2 2 3 4 4 5 8 10 11 13 15 14 11 12 16 17 12 6 5 6 4 6 9 6 5 11 8 6 7 5 7 6 6 7 7 6 10 5 -4 2 6 1 -0 9 14 8 10 6 3 9 12 7 5 2 1 5 8 5 4 12 11 3 -0 5 8 7 6 1 -2 2 3 -5 -6 3 11 8 1 0 5 5 18 31 23 4 -4 3 11 12 12 13 13 10 8 6 4 3 10 24 28 15 4 5 5 5 6 5 5 4 4 4 4 5 5 4 5 5 5 4 4 4 5 4 3 3 4 5 4 4 3 3 3 3 3 2 2 3 3 4 5 5 4 4 3 1 2 3 4 3 2 1 1 2 2 3 3 2 2 4 7 10 12 12 11 8 5 4 3 4 5 4 4 4 5 4 4 5 5 5 5 6 6 6 5 5 5 6 5 5 6 6 5 5 6 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 6 7 7 7 8 7 7 8 7 7 7 6 5 5 4 3 2 3 4 6 7 7 6 5 6 6 4 2 2 3 5 5 4 3 4 5 6 7 8 7 8 10 8 4 4 4 5 7 9 10 9 7 6 4 4 3 3 4 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 7 8 8 6 4 3 2 2 2 3 4 5 6 5 4 4 3 3 3 4 4 3 6 10 16 20 20 15 10 5 2 2 3 3 3 2 1 1 2 2 2 1 2 1 1 2 3 2 1 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 3 3 3 3 3 2 3 6 9 8 5 3 5 6 6 5 4 4 5 5 5 5 5 5 5 7 10 11 8 5 4 3 3 3 3 3 3 4 4 4 5 7 9 9 6 4 2 3 3 4 4 4 3 4 4 4 5 8 12 15 14 8 3 2 1 1 1 0 -1 -1 -1 -1 1 2 2 3 3 3 3 4 4 5 5 5 5 4 4 4 3 3 3 4 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 7 6 5 7 19 23 15 10 8 8 8 4 0 5 3 0 1 2 2 2 3 4 4 4 5 7 8 10 15 18 16 15 17 18 15 9 5 5 5 2 3 7 4 6 7 7 7 8 5 4 3 4 8 8 8 12 13 14 11 1 -4 -1 4 -2 4 11 9 9 14 11 9 6 2 2 7 10 8 6 11 8 1 2 8 7 6 4 -1 5 17 11 -6 -6 1 5 0 -2 2 3 2 17 29 21 5 1 8 12 11 9 8 8 7 6 4 3 3 12 24 20 7 5 7 6 5 6 5 5 4 5 5 4 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 3 2 3 3 3 3 3 3 4 4 4 4 2 2 2 3 4 3 2 1 1 1 2 3 2 2 2 2 4 6 7 8 9 8 6 4 3 4 5 5 4 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 6 5 6 7 6 7 7 7 7 8 7 7 7 7 6 6 6 5 5 4 3 3 4 5 6 6 6 5 5 7 8 6 4 4 7 9 8 6 5 6 6 6 7 7 6 6 7 7 6 6 5 5 5 6 8 10 12 10 7 4 4 3 3 4 4 4 3 3 4 5 5 6 6 7 7 7 8 7 7 7 7 7 6 4 4 2 2 3 4 5 6 6 6 5 4 3 2 2 3 3 3 4 7 13 19 21 19 15 11 9 6 3 2 2 2 3 3 2 2 2 1 2 2 2 1 2 2 2 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 4 4 4 3 3 3 2 3 7 11 11 7 3 2 4 5 5 5 4 4 4 4 4 4 3 3 5 8 10 8 5 3 2 3 3 3 3 3 4 4 4 4 5 7 9 8 6 4 3 3 4 3 3 3 3 4 5 5 6 10 15 16 11 5 2 1 2 1 1 0 -1 -2 -2 -1 -0 1 2 3 3 3 4 4 4 5 5 5 4 4 3 3 3 3 3 4 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 7 7 7 6 5 9 23 25 15 11 8 9 6 -3 -2 4 4 1 1 1 1 2 3 4 4 5 6 7 7 11 16 17 18 21 20 17 12 7 6 7 6 2 1 0 3 4 6 6 7 6 4 2 2 4 5 5 4 2 10 22 20 8 0 -0 2 -2 5 10 9 10 15 15 15 9 8 10 13 13 10 6 6 1 -3 8 14 9 1 -7 -7 11 29 16 -1 -2 2 -3 -7 -0 3 2 5 16 22 16 8 8 13 14 12 10 8 6 6 6 5 3 4 10 14 8 5 11 14 8 5 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 3 3 4 4 4 4 3 2 2 3 4 3 3 2 1 1 1 2 2 2 1 2 3 4 5 6 7 8 7 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 8 7 7 7 7 7 6 6 6 6 6 6 5 5 5 6 5 5 5 5 5 5 6 7 6 5 7 11 13 10 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 6 6 5 8 12 14 12 8 5 4 3 3 3 3 2 2 3 3 4 4 5 5 6 7 8 7 8 7 7 7 6 5 4 3 3 4 4 5 6 6 6 5 5 4 2 3 3 3 3 3 5 10 16 20 20 19 17 16 13 8 5 3 3 3 4 4 3 3 2 2 3 3 1 1 2 2 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 5 4 4 4 3 4 7 12 12 8 4 3 3 4 5 6 5 5 5 4 4 4 3 3 3 4 6 6 3 1 1 2 2 3 3 3 4 4 4 4 4 5 7 8 7 5 4 3 3 3 2 3 3 4 4 5 6 8 12 16 14 8 3 2 2 1 1 1 -0 -2 -2 -2 -1 0 0 1 2 2 3 4 4 4 4 4 4 3 3 3 2 2 3 4 4 4 4 4 5 5 5 5 6 6 6 6 7 6 6 6 6 6 7 8 8 7 6 5 5 12 23 22 13 10 8 8 4 -0 4 3 3 0 0 1 2 2 4 5 5 6 6 6 10 17 14 13 18 19 18 15 10 7 7 7 7 4 -1 1 5 2 3 6 8 5 3 4 8 6 4 10 8 -3 2 13 14 10 5 1 3 4 7 10 9 4 5 10 6 4 10 15 17 15 10 6 5 2 0 7 11 10 6 -2 -1 14 22 9 -1 -2 -1 -6 -6 2 3 3 10 15 13 11 11 14 15 13 11 9 6 5 6 6 5 3 3 6 7 5 7 14 23 16 6 6 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 3 2 2 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 2 1 1 1 2 2 1 1 2 3 4 4 5 6 7 7 7 7 6 6 5 5 5 4 4 5 4 5 5 5 6 6 5 6 6 6 6 6 6 6 7 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 6 7 8 8 8 8 7 7 7 7 6 6 7 8 8 8 8 8 7 8 7 6 5 6 6 6 7 7 7 6 5 7 12 12 8 7 7 7 7 6 6 6 5 6 6 6 6 6 7 7 8 7 6 6 10 14 15 13 9 7 5 3 2 2 2 2 2 3 3 4 4 4 5 6 7 8 8 8 7 7 7 6 5 4 3 4 5 5 6 6 6 6 5 4 3 3 4 4 3 3 3 7 11 15 18 20 19 19 18 16 11 6 4 4 5 5 5 4 3 3 3 2 1 1 2 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 8 8 9 9 9 8 7 5 5 5 4 6 9 10 7 5 3 4 4 5 5 6 6 6 6 5 4 4 4 3 3 3 3 2 1 1 2 2 3 4 4 5 5 5 5 5 5 6 7 8 6 4 3 2 2 2 2 3 3 4 4 5 7 10 14 16 11 6 3 2 2 2 1 -0 -1 -2 -2 -1 -1 -0 0 1 2 3 3 3 3 4 3 3 3 3 2 2 2 2 3 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 7 8 9 8 6 5 5 7 14 23 19 11 9 7 7 8 13 16 4 -0 -1 -0 1 2 3 3 5 6 7 7 10 18 21 12 12 16 13 15 15 11 9 8 6 3 0 -1 6 11 9 7 9 7 5 3 3 10 8 9 20 9 -3 7 11 4 4 5 5 7 8 10 9 5 2 -1 1 -3 2 7 11 16 17 12 8 7 7 12 14 10 11 10 4 2 9 12 6 4 3 -4 -5 2 6 8 11 14 13 7 6 11 16 16 13 10 8 5 4 6 6 4 3 4 5 5 4 7 14 26 21 7 6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 3 3 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 1 1 1 2 2 2 1 2 2 3 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 6 8 9 8 8 7 7 7 7 7 8 8 9 10 11 11 11 10 9 8 6 6 7 8 9 9 9 8 8 6 5 7 10 8 6 6 6 6 6 5 5 5 5 5 5 6 5 5 6 6 7 7 8 7 9 12 15 16 14 11 7 4 3 2 1 1 1 2 3 3 3 3 4 5 6 7 8 8 8 7 7 6 6 5 4 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 5 7 11 14 17 20 20 21 18 14 9 7 6 7 6 6 5 5 5 4 3 2 2 2 3 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 10 11 11 12 10 8 7 6 5 5 6 7 6 4 4 5 5 5 5 5 6 6 7 6 6 6 5 5 4 3 3 2 2 3 3 3 3 4 4 5 6 6 6 6 5 5 6 7 7 5 3 2 2 2 3 2 2 3 4 5 7 9 12 15 14 10 5 3 2 2 1 0 -1 -1 -1 -1 -0 0 1 0 1 1 3 3 2 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 8 10 9 7 5 5 6 9 17 23 19 11 6 5 8 12 17 12 2 -3 -2 -0 1 2 3 4 5 6 6 8 15 22 18 12 11 11 11 16 18 13 10 8 5 -0 -3 3 10 13 12 11 8 7 5 3 2 7 8 14 22 6 2 11 7 -1 2 6 9 11 9 10 6 -0 2 3 -0 -2 2 3 7 12 17 16 12 6 7 15 16 9 4 4 5 4 -2 -0 3 10 13 3 -2 3 9 13 13 12 8 3 5 11 16 17 13 10 7 5 3 5 4 2 2 5 6 6 5 6 13 25 23 9 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 3 3 3 3 2 2 1 2 2 2 2 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 5 5 4 4 4 4 4 5 6 7 8 9 9 9 8 8 8 8 8 9 10 12 13 14 15 15 13 11 8 7 6 7 9 10 10 10 9 8 8 7 6 7 7 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 7 9 8 7 9 10 14 17 18 15 10 6 4 3 2 1 1 2 2 3 3 3 3 4 4 5 6 7 8 8 7 7 7 6 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 6 7 9 12 16 20 21 18 14 10 9 9 9 8 8 8 7 6 6 5 4 3 4 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 9 9 9 9 10 12 13 11 9 8 6 5 5 5 5 4 5 5 6 6 6 5 5 6 6 7 7 6 6 7 6 5 4 4 3 4 4 4 4 4 4 5 6 7 7 7 6 5 5 7 7 6 4 3 2 3 2 2 3 3 4 5 6 8 10 13 14 12 8 6 4 3 2 1 1 1 1 2 2 2 1 0 -0 0 2 3 3 2 2 2 2 3 3 3 3 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 6 7 8 10 10 8 5 4 7 10 15 23 27 19 9 3 2 8 8 6 -1 -3 -3 -1 0 1 2 4 5 5 6 6 11 19 19 12 10 8 7 11 16 17 14 9 8 7 3 -1 3 6 10 8 5 2 4 6 4 3 2 8 14 14 7 13 10 3 3 5 7 10 10 7 6 4 -2 -1 4 6 5 2 4 6 9 15 15 9 3 4 10 12 5 -1 -2 4 7 -2 -4 2 9 13 8 3 6 11 13 10 6 1 1 8 13 15 16 13 11 8 5 5 5 2 -0 2 6 7 6 5 5 12 25 25 11 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 4 4 4 4 4 3 3 4 3 4 4 3 4 3 3 3 3 2 2 2 2 2 2 2 2 3 4 4 4 4 4 5 4 5 4 5 5 5 5 5 6 6 6 6 6 7 6 7 7 7 6 6 6 6 7 6 6 6 6 5 5 5 4 4 4 4 4 5 6 6 8 9 9 9 8 8 8 8 9 11 12 14 15 17 18 18 16 14 10 8 8 9 11 11 11 9 8 7 6 7 7 7 9 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 7 10 9 7 8 9 13 18 20 17 13 8 6 4 1 1 1 1 1 2 3 3 3 3 3 4 5 5 7 7 7 7 7 6 5 6 7 7 6 5 6 6 5 5 5 5 5 6 5 5 4 4 4 4 5 7 10 16 18 16 12 11 10 10 10 10 10 11 10 10 9 8 7 6 5 5 4 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 9 11 13 12 10 9 7 6 5 5 5 5 5 6 6 7 6 6 5 5 5 6 6 6 6 7 6 6 6 5 5 5 5 5 4 4 4 4 5 6 7 7 6 5 5 6 8 8 6 4 3 3 3 3 3 3 4 5 6 7 8 10 11 12 10 8 7 6 4 4 3 4 4 5 5 4 3 0 -0 0 2 3 3 3 2 2 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 5 5 5 6 7 8 9 10 9 6 4 6 11 18 27 33 28 15 6 -1 -3 4 2 -4 -4 -2 -2 -0 1 1 3 4 5 5 6 6 10 17 16 11 10 7 5 6 9 12 13 10 6 8 7 5 4 5 9 8 3 -0 1 5 4 3 2 7 13 3 2 9 7 5 6 6 6 8 7 4 2 0 -4 -5 0 6 9 6 7 6 7 13 7 0 0 4 7 9 5 1 1 6 6 2 1 6 9 5 4 6 12 16 12 5 1 -0 5 12 11 13 13 12 10 9 7 6 5 2 0 2 6 7 6 4 6 15 27 24 10 4 6 7 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 2 3 2 2 2 2 2 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 7 7 8 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 4 4 4 4 6 6 7 7 8 9 9 9 8 8 8 9 11 13 16 17 18 19 20 19 18 16 13 12 12 12 11 10 8 7 5 5 5 6 6 10 11 7 5 5 5 5 5 4 4 4 5 5 5 4 4 5 5 5 4 5 7 9 7 8 9 11 17 21 20 16 11 8 5 3 2 2 0 -0 1 2 3 3 3 3 3 4 4 5 6 6 6 6 5 5 6 7 6 6 5 5 5 5 5 5 5 5 5 6 6 5 4 4 3 3 4 5 9 11 13 12 12 12 11 10 11 13 13 14 15 14 11 9 7 5 5 4 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 7 10 11 11 10 10 8 7 6 5 5 6 7 7 7 7 7 7 6 6 6 5 5 5 5 6 7 7 7 7 7 6 6 6 5 4 3 3 4 4 5 6 5 5 6 6 8 9 7 5 4 4 5 4 3 3 3 4 5 6 7 8 9 9 10 9 8 8 8 8 8 7 7 6 6 5 3 1 0 0 2 3 3 3 3 2 2 3 3 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 5 5 6 7 8 9 9 7 4 6 13 23 30 37 36 23 10 2 -6 -8 -2 -3 -7 -4 -1 0 0 0 2 3 4 4 6 7 6 8 13 16 15 13 9 6 5 5 6 11 10 5 7 9 10 6 7 8 11 12 8 2 2 2 3 6 8 8 -0 2 7 3 5 4 4 4 4 3 2 1 0 -2 -4 -1 4 9 10 9 6 8 10 4 4 3 4 6 5 2 3 11 13 7 7 5 10 13 1 -0 6 11 13 12 5 -2 5 18 17 10 11 11 10 9 9 8 6 5 3 3 4 5 6 6 4 9 23 29 18 7 4 5 7 8 7 7 6 6 5 5 4 4 4 3 3 4 4 4 5 4 5 5 5 5 5 6 5 4 4 3 4 4 4 4 5 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 2 1 2 3 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 5 6 5 5 5 5 5 5 5 5 7 7 8 8 8 9 9 8 8 9 10 12 14 16 17 17 19 19 18 17 16 16 15 14 14 12 10 8 8 6 5 5 5 5 9 14 11 7 5 5 5 5 5 5 5 4 5 5 5 5 4 4 5 4 4 4 5 7 6 7 8 9 14 21 22 17 13 8 6 4 3 3 2 1 2 3 4 3 3 3 2 2 2 3 4 5 5 6 5 6 5 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 3 5 8 10 11 11 11 11 11 13 13 15 17 18 15 11 7 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 2 3 4 4 6 8 10 10 10 10 10 8 7 6 6 6 7 8 7 7 7 7 7 7 7 6 5 5 5 5 6 7 7 8 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 6 8 8 7 5 4 5 5 5 4 3 3 4 5 5 5 6 6 7 8 8 8 9 10 11 10 9 8 7 6 4 3 2 1 1 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 4 4 5 4 5 7 8 9 9 8 5 5 12 24 33 33 30 25 16 7 1 -7 -6 -5 -7 -6 -3 -1 -0 0 1 2 4 4 5 6 7 6 7 10 17 19 15 12 11 10 7 6 11 10 6 6 9 10 6 5 4 11 10 9 5 1 -1 4 11 8 2 6 11 13 12 8 3 1 2 3 3 3 5 5 3 1 -0 2 6 12 6 5 11 7 6 12 6 5 8 5 1 3 13 13 3 1 2 10 15 4 3 4 6 11 12 2 -2 12 26 19 10 10 11 10 9 9 9 7 5 4 4 4 4 5 5 7 16 29 25 10 4 4 5 7 8 7 7 6 6 5 4 4 4 4 4 3 4 4 5 4 4 5 5 5 5 5 6 6 6 5 4 3 4 4 5 5 5 4 4 4 5 5 5 4 4 3 3 3 3 4 4 4 2 2 2 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 9 10 12 14 15 15 16 17 17 17 14 12 11 12 12 12 11 9 8 8 7 7 6 5 5 4 8 12 10 6 4 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 6 9 4 2 6 7 11 18 23 20 13 8 6 5 5 5 4 3 5 8 7 5 4 5 4 2 1 1 3 4 5 5 5 5 5 5 5 4 3 4 4 4 5 4 5 5 5 6 6 5 6 5 5 5 5 4 2 3 5 6 8 8 8 9 10 11 12 13 15 18 17 13 9 6 5 6 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan -0 0 2 3 5 7 8 9 10 10 10 9 8 7 6 6 6 8 8 7 6 7 7 7 7 7 6 5 5 5 5 6 7 8 9 9 8 6 5 6 8 10 11 9 7 5 4 4 5 6 7 7 6 5 4 5 6 6 5 4 3 4 5 5 4 5 5 6 7 8 8 9 10 12 12 10 9 7 5 4 3 3 2 3 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 6 8 8 9 9 6 5 10 20 30 32 26 14 7 5 4 6 4 3 -3 -6 -5 -3 -1 0 0 2 3 4 5 6 7 7 7 8 11 19 20 13 9 13 13 10 8 9 7 5 4 8 8 7 5 7 8 6 10 8 1 -1 5 10 6 3 9 7 3 15 9 2 -1 2 5 4 5 8 10 8 4 2 2 5 7 -1 2 9 2 7 9 4 5 8 9 6 5 10 12 5 -2 -3 9 16 11 8 4 3 19 15 4 6 17 20 15 10 10 11 10 10 10 11 9 5 3 3 4 4 4 5 10 22 30 20 7 3 4 5 7 8 8 7 6 6 5 5 4 4 4 3 4 4 5 5 5 5 5 4 5 5 5 6 6 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 3 3 3 4 4 4 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 7 7 8 8 8 8 8 7 8 8 9 9 9 10 12 14 15 15 14 14 14 15 13 10 5 3 5 9 9 8 7 6 6 7 7 7 6 6 6 6 6 6 5 4 4 5 5 5 5 5 4 3 3 3 3 4 4 4 4 4 3 5 11 5 -1 5 6 8 14 20 20 15 10 7 6 6 7 6 5 7 10 12 11 10 8 7 4 2 2 3 3 4 5 5 5 6 5 5 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 5 4 4 3 3 3 5 5 5 5 8 10 11 12 13 15 15 14 11 8 8 10 10 9 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 -0 0 1 3 4 6 7 8 10 10 10 9 8 7 6 6 7 8 8 9 9 8 8 7 7 6 5 5 5 6 6 7 8 8 8 7 6 5 6 10 15 16 12 9 6 4 5 6 6 6 6 5 5 4 5 7 7 6 5 4 4 4 5 4 4 4 5 6 6 7 9 10 11 12 11 9 7 6 5 4 4 4 4 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 7 9 9 9 8 7 9 15 20 23 26 23 11 0 1 10 15 12 6 -4 -7 -5 -3 -0 1 2 3 4 5 6 7 8 8 9 11 16 21 17 10 8 11 11 10 8 6 4 3 5 7 7 9 9 11 4 5 9 5 -1 1 7 8 1 2 4 3 1 7 3 -1 -1 4 7 4 4 8 12 11 6 4 5 6 5 -1 1 3 -5 5 4 4 3 3 9 11 8 8 11 14 9 2 7 13 13 9 7 8 15 10 13 18 18 13 10 11 11 10 10 10 11 11 8 4 2 2 4 4 4 5 13 26 28 16 5 4 4 6 7 8 8 7 6 5 5 5 4 4 4 4 4 4 5 4 5 5 4 4 5 5 5 5 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 6 5 5 5 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 6 7 7 8 9 9 9 8 7 7 7 7 8 9 10 10 12 14 15 14 12 12 11 11 11 11 10 7 1 1 7 8 7 7 6 5 6 8 9 8 8 7 6 1 1 4 5 4 4 4 4 4 5 6 4 3 3 2 3 2 2 4 4 4 4 5 4 2 5 6 7 9 15 19 19 15 12 9 8 8 7 5 6 10 14 15 15 13 9 6 3 3 2 3 4 5 5 6 6 6 6 5 4 3 3 3 3 3 3 3 4 5 4 4 5 5 5 5 5 5 4 4 2 3 4 3 3 3 5 8 10 11 12 13 13 12 11 10 11 13 15 15 13 12 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 3 1 1 1 2 3 5 6 8 9 10 10 9 8 7 7 6 8 11 11 10 9 8 7 6 6 5 5 5 5 5 6 7 7 6 6 6 5 6 8 12 13 11 8 6 5 6 7 8 7 5 4 4 4 6 8 9 8 5 4 4 4 4 4 3 4 4 5 5 6 7 9 11 11 10 9 8 6 6 6 5 5 6 6 5 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 7 9 11 12 11 9 9 13 13 11 14 22 25 17 9 9 13 11 4 -2 -8 -7 -3 0 1 1 2 4 5 6 7 7 9 14 15 16 19 18 12 10 12 11 10 10 9 6 5 3 4 8 7 2 3 4 1 6 4 -0 -1 5 10 5 -2 -2 1 7 10 3 0 -2 -2 3 7 4 2 6 13 12 7 8 10 9 8 6 4 -0 -3 3 -2 2 2 0 7 11 10 8 7 8 8 3 4 10 15 7 5 13 2 1 19 20 13 8 8 11 12 10 10 10 10 9 6 3 2 3 5 5 5 6 13 25 26 12 3 4 5 6 7 8 8 7 6 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 4 4 5 5 5 6 5 5 6 6 5 6 6 6 6 6 6 6 6 5 4 5 5 5 6 7 7 8 9 9 10 9 7 7 6 7 8 10 10 11 12 14 15 14 12 11 11 10 8 6 6 9 14 10 5 6 6 7 7 6 5 8 13 14 10 8 8 6 3 2 3 5 5 5 5 5 4 5 6 6 5 5 5 5 3 2 4 5 6 6 3 2 3 4 5 5 7 10 14 18 19 16 14 11 9 8 6 6 8 11 13 14 12 10 7 5 2 2 3 4 4 5 5 5 6 7 7 7 6 4 3 2 2 2 3 5 5 5 4 4 4 5 5 5 6 5 4 4 4 3 3 2 3 4 6 10 11 11 11 11 11 11 11 11 13 16 17 16 15 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 8 5 3 2 1 2 3 4 5 7 10 10 9 9 8 8 7 8 10 10 8 6 7 8 7 6 5 4 4 4 5 5 6 6 6 6 5 5 5 5 6 6 6 5 5 6 7 9 10 8 6 4 4 4 6 8 9 8 6 4 4 4 4 4 3 4 4 4 5 5 6 7 9 10 9 8 7 7 7 7 7 7 7 7 6 5 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 4 4 4 4 7 10 14 16 16 13 8 6 12 10 6 11 19 20 17 17 11 3 -7 -10 -10 -8 -4 0 2 2 2 3 5 6 7 7 8 13 19 18 15 14 12 8 13 16 12 11 11 10 9 8 4 2 8 4 -4 -1 1 3 6 5 4 5 8 10 3 -1 -1 2 6 5 -1 3 0 -4 2 6 5 3 7 15 14 14 17 16 13 15 12 3 -0 10 13 3 1 1 3 11 9 11 10 6 5 4 1 -0 10 18 6 0 10 1 5 22 19 10 6 8 11 11 10 10 10 9 7 4 2 3 6 6 6 6 5 10 22 27 13 4 5 6 7 8 7 7 6 6 6 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 4 4 4 5 6 6 6 6 6 7 6 6 6 5 5 5 5 5 5 6 6 6 5 5 5 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 5 4 4 4 5 6 7 8 8 9 10 10 9 8 6 6 6 7 9 10 11 12 14 15 15 12 10 10 10 9 7 3 -1 -2 9 14 9 7 6 7 8 7 4 6 15 20 14 8 7 7 5 4 6 6 6 6 6 6 5 5 6 6 6 7 7 8 6 4 6 6 6 7 5 2 2 3 4 5 6 7 9 13 15 16 15 14 12 10 8 7 6 7 9 11 10 9 8 6 5 5 5 5 5 5 5 5 6 7 9 11 11 8 4 2 1 2 2 4 5 4 4 3 4 4 5 5 5 6 5 5 4 3 3 3 3 2 4 6 8 9 8 8 9 10 10 10 12 14 16 17 14 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 12 10 6 3 1 0 1 2 4 6 8 10 10 10 10 9 9 10 10 8 4 2 4 7 8 7 5 4 4 4 4 5 5 6 6 6 5 4 3 3 3 3 4 4 5 6 7 9 10 9 7 5 4 4 6 8 10 8 6 4 4 4 4 4 4 4 4 4 5 5 5 5 7 8 8 7 7 6 6 7 8 8 8 8 7 6 5 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 7 11 16 19 17 14 10 4 1 8 10 5 8 13 12 9 11 1 -12 -20 -16 -9 -3 1 3 2 2 2 4 6 7 7 9 12 18 21 15 10 9 8 7 9 11 10 12 10 9 10 7 3 6 11 7 2 4 5 3 3 5 8 10 11 10 3 -1 0 3 2 -2 0 4 3 0 3 6 3 3 9 17 16 22 27 22 17 19 13 2 3 17 18 10 5 0 7 16 11 8 7 6 6 5 0 -3 7 14 9 9 16 12 11 18 17 10 7 9 10 10 9 10 10 8 5 3 2 4 6 7 7 5 4 9 21 28 16 5 6 7 7 7 7 6 6 6 6 5 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 4 5 6 6 6 6 7 7 6 5 6 5 5 5 4 4 5 6 6 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 4 4 4 5 5 4 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 5 6 7 7 7 8 9 9 9 7 6 6 6 6 7 9 10 11 12 14 15 13 10 8 8 9 8 6 3 -4 -10 -3 7 9 7 7 7 7 6 1 -3 6 18 17 9 6 4 3 4 6 6 6 6 6 6 7 7 7 6 6 7 8 8 6 5 6 7 7 7 6 4 3 3 3 4 5 6 7 9 10 12 11 11 11 11 10 9 7 7 8 10 11 11 10 9 8 8 7 7 5 5 6 6 6 6 7 11 14 12 7 3 1 1 2 3 4 5 4 4 4 4 5 5 5 6 6 6 5 4 3 3 2 1 1 2 4 5 6 7 8 9 9 9 9 10 13 14 11 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 10 7 6 12 17 19 18 15 11 11 7 11 20 18 12 12 13 12 9 7 8 11 16 17 15 11 8 6 9 10 11 12 13 13 15 14 14 13 12 12 13 16 20 21 18 13 10 8 9 10 13 18 19 17 15 13 12 11 11 11 11 10 7 5 8 10 10 13 17 16 11 5 5 9 11 11 11 11 12 13 13 12 12 11 9 10 11 12 12 12 10 9 10 11 11 11 11 11 12 12 12 11 10 11 12 13 15 15 14 13 12 11 10 11 10 10 10 11 12 12 12 12 12 12 12 12 15 16 13 12 14 14 13 11 10 10 11 12 14 15 15 15 15 14 14 11 11 12 15 17 16 14 12 11 11 14 15 14 14 13 13 13 13 13 13 12 12 11 11 11 11 11 13 14 14 13 11 10 8 9 15 24 25 19 14 12 13 13 13 12 12 12 13 14 14 12 11 11 10 11 14 15 14 14 15 16 15 15 15 13 14 14 13 12 13 15 17 17 15 15 13 13 15 16 18 17 15 15 15 15 16 17 18 16 15 16 16 16 15 15 14 16 18 20 18 16 14 14 13 13 14 14 14 14 13 13 14 14 14 14 14 14 14 14 14 13 12 12 11 12 11 11 11 11 11 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 12 12 14 16 16 14 11 9 9 9 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 13 11 10 9 10 10 10 11 11 12 12 12 11 11 11 12 11 11 12 11 11 11 11 11 11 11 12 12 12 12 12 13 13 15 16 15 13 14 16 16 12 9 5 2 3 7 11 12 13 12 11 11 12 13 12 12 12 12 12 15 19 23 24 20 18 14 13 12 12 12 12 13 13 12 14 16 18 19 18 13 10 9 11 14 14 14 15 14 14 14 14 14 13 12 12 13 14 13 11 11 12 13 14 14 15 14 13 13 15 14 15 16 15 14 15 16 20 24 22 15 9 11 13 15 13 12 13 14 15 15 15 13 13 14 14 15 15 15 15 16 16 15 15 15 15 14 13 12 12 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 7 6 8 16 19 16 9 8 12 21 21 13 10 9 13 15 13 11 10 8 7 8 11 13 13 13 12 11 12 12 10 10 11 15 18 19 17 12 8 7 7 9 14 18 17 15 13 11 11 10 10 10 9 9 7 7 10 10 9 9 11 13 13 10 10 12 13 12 12 12 13 15 15 15 13 12 11 11 12 12 12 10 8 7 9 10 11 12 12 12 11 12 11 11 11 12 12 13 14 14 13 13 13 12 11 11 11 11 11 12 12 13 13 12 12 12 13 13 14 14 12 12 14 15 13 10 8 10 11 13 14 16 15 15 14 14 12 11 12 13 15 16 15 13 12 11 12 13 13 13 13 13 13 13 14 14 13 12 12 11 11 11 11 11 12 13 13 13 12 9 4 2 6 18 29 29 25 19 14 12 12 12 11 12 12 13 13 14 13 13 12 11 12 13 12 13 15 15 14 15 15 15 15 14 14 13 12 13 15 17 17 15 13 12 12 13 16 18 16 15 14 13 12 17 20 17 15 16 16 15 14 12 8 6 9 13 17 18 17 17 16 16 15 15 16 15 15 14 14 15 15 16 16 16 16 15 14 13 12 11 12 11 11 11 11 11 12 12 12 12 12 13 12 11 11 11 12 11 12 12 11 11 10 11 11 13 14 16 16 15 14 11 9 9 9 10 9 9 10 10 10 10 10 10 11 11 10 11 11 11 11 11 10 11 11 11 12 12 11 10 9 9 9 10 10 11 12 11 11 11 11 12 12 12 11 11 11 11 11 10 11 11 11 11 12 12 11 12 13 13 13 13 14 15 15 15 15 11 6 2 2 4 7 11 13 13 12 11 10 11 12 13 13 12 12 11 12 15 20 25 24 17 13 11 12 12 13 13 13 13 13 13 13 13 12 11 11 10 10 12 14 14 15 15 14 14 15 14 14 14 13 13 13 13 14 12 10 10 12 15 16 16 15 14 12 13 14 15 16 16 15 15 15 16 19 22 19 13 9 11 13 12 12 12 13 14 14 14 14 14 15 14 15 15 15 15 15 16 16 16 15 15 15 14 14 13 14 15 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 7 8 18 17 12 6 7 9 10 11 10 9 12 10 8 10 13 14 13 12 12 12 11 10 10 12 14 16 18 17 13 9 6 5 7 12 15 14 12 9 8 9 9 9 9 8 7 8 9 12 12 11 10 10 10 11 10 11 12 13 13 12 12 12 13 14 15 14 13 13 13 13 13 12 10 7 7 8 9 11 12 12 12 11 10 10 11 11 12 12 13 13 13 14 13 12 12 11 11 11 12 11 12 14 15 14 12 12 12 12 12 12 12 12 12 13 13 12 10 9 10 11 13 15 15 14 14 13 13 13 12 14 15 15 15 14 12 11 11 11 12 13 12 13 12 13 14 14 14 14 13 12 12 11 11 11 11 12 12 12 13 12 10 8 1 -2 2 13 23 28 29 22 16 12 12 13 12 12 12 12 13 13 14 13 13 12 12 12 13 14 14 13 14 15 16 16 15 15 16 15 14 14 16 17 16 15 13 12 12 14 16 17 17 15 13 10 14 19 18 15 14 15 15 16 15 12 8 8 9 12 15 18 18 17 17 16 16 16 16 16 15 15 15 15 16 15 15 15 14 12 12 12 11 11 12 11 11 11 12 12 12 12 13 13 12 12 11 11 11 12 12 11 12 12 12 13 13 14 16 16 15 14 11 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 11 11 10 10 11 10 10 10 10 11 11 10 11 11 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 11 11 11 12 12 12 11 12 12 13 14 16 17 16 15 12 8 6 6 9 12 14 14 13 12 10 11 11 12 13 14 12 12 12 12 13 16 20 23 20 15 12 12 12 13 12 13 13 13 13 13 12 11 10 10 10 10 11 13 14 14 14 14 13 13 14 14 14 14 14 13 12 13 13 11 10 11 15 17 17 15 13 12 12 12 13 14 16 15 16 16 17 15 16 20 18 12 11 11 11 10 11 13 13 12 13 15 15 15 15 15 15 14 15 15 15 15 15 16 15 14 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 nan nan nan nan nan nan nan nan nan nan nan nan nan 6 12 16 15 13 12 11 9 8 8 11 12 13 13 14 14 14 15 15 16 17 17 17 16 13 8 4 4 6 9 10 9 8 8 9 10 10 10 8 7 9 10 11 12 12 11 11 10 9 9 10 11 12 12 13 12 11 11 12 14 13 13 13 13 13 11 11 8 5 6 8 9 10 12 13 11 11 10 10 11 11 12 12 13 13 13 14 13 13 12 11 11 11 11 13 14 14 15 14 12 11 12 12 12 13 12 12 12 11 11 12 11 12 14 15 14 13 12 12 12 13 14 15 14 14 14 15 14 14 13 12 11 12 12 12 12 12 12 12 13 14 14 13 13 12 12 12 12 11 11 12 12 12 12 12 12 13 10 3 -2 0 8 17 31 32 21 14 12 12 12 13 13 12 13 14 14 14 13 12 12 12 13 14 13 11 10 12 17 21 18 16 17 17 16 16 15 15 14 14 14 12 11 12 13 15 16 15 14 13 13 15 15 16 15 15 15 15 16 16 14 11 8 9 11 13 15 17 16 16 16 15 16 16 15 14 14 15 14 13 13 14 13 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 13 13 13 14 14 15 16 17 16 14 11 9 9 9 9 10 9 10 9 9 9 9 9 9 9 10 10 10 11 11 11 10 11 11 11 10 11 10 9 9 9 10 10 10 11 11 11 11 11 9 10 9 10 11 11 11 10 11 10 10 10 11 11 12 12 13 13 13 12 12 12 12 12 14 17 17 16 14 12 11 10 9 10 13 13 13 13 12 11 11 11 12 13 13 13 13 12 12 12 14 16 21 22 19 16 14 13 13 13 13 13 13 13 13 12 10 10 9 10 11 11 11 12 13 13 13 13 13 12 13 13 14 14 14 15 15 15 13 11 11 13 16 17 16 13 12 11 12 13 13 14 14 14 15 16 17 17 17 18 18 15 13 11 10 11 12 13 13 12 12 13 14 15 14 14 15 14 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 12 13 12 12 13 13 13 15 17 20 20 19 18 16 14 14 12 8 7 8 10 11 13 13 12 11 11 10 10 10 12 13 12 12 12 13 13 12 10 9 11 12 12 12 12 11 11 11 12 12 13 13 13 13 13 11 9 8 6 6 8 9 10 10 10 9 10 11 11 11 11 12 13 13 13 13 13 13 13 12 11 11 13 14 14 14 15 15 14 11 10 10 12 12 13 13 12 12 11 11 11 11 13 16 17 15 13 12 12 12 12 15 16 15 15 15 15 15 14 13 13 13 13 12 12 12 12 12 12 13 14 13 13 13 12 12 12 11 12 12 12 12 12 12 12 12 13 14 12 7 2 -1 4 25 36 27 20 15 13 12 12 12 13 13 13 14 14 14 14 14 13 13 15 14 10 5 4 12 22 20 16 18 17 16 16 17 15 13 11 11 12 11 11 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 11 10 9 9 10 12 15 16 16 15 14 15 15 15 14 15 15 15 13 13 13 13 13 12 11 12 12 13 13 13 13 13 13 13 13 13 12 13 14 14 15 16 16 17 17 18 19 19 19 17 15 13 11 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 11 11 10 9 9 9 10 10 11 12 12 12 11 10 9 8 8 9 9 11 11 11 11 10 11 11 10 10 11 12 13 14 14 13 13 13 13 12 13 15 16 14 10 9 9 9 9 10 10 11 13 13 12 12 12 12 12 12 13 13 13 12 12 12 13 14 18 22 24 22 18 15 13 13 12 12 12 12 12 11 10 9 9 9 9 11 11 11 11 12 12 12 12 13 13 14 14 15 14 14 14 13 13 14 12 13 15 16 15 13 11 11 13 13 13 13 14 15 15 15 15 14 15 16 18 18 16 12 11 12 13 14 14 13 12 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 6 6 5 5 5 5 5 5 4 4 3 3 2 2 2 3 4 8 11 15 19 21 23 24 25 25 26 28 32 36 35 35 33 32 31 30 30 31 32 33 33 33 32 30 28 28 26 23 17 12 11 13 14 14 15 17 18 18 18 18 16 13 12 12 11 11 10 8 7 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 16 20 18 12 4 0 0 0 0 0 0 0 0 0 0 0 1 4 11 17 22 28 35 41 44 47 51 57 64 67 54 24 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 1 2 2 2 3 10 18 20 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 21 35 48 48 35 22 16 14 14 16 23 37 50 60 63 63 62 63 64 65 64 61 58 56 57 53 42 25 12 5 2 3 4 7 12 10 3 0 0 0 0 1 2 3 4 3 0 0 0 0 3 8 17 32 52 70 89 105 119 126 134 137 128 113 100 86 73 70 60 44 43 69 98 109 108 99 90 82 69 52 42 46 52 52 51 59 66 72 94 129 165 192 208 210 208 204 197 184 164 147 135 119 109 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 nan nan nan nan
nan nan nan nan nan nan nan nan 7 6 5 5 5 5 5 5 5 4 3 2 2 2 2 2 2 4 7 9 12 15 18 21 23 24 26 28 30 31 31 31 31 31 31 30 29 29 29 30 31 31 31 29 27 24 23 21 16 10 9 10 11 12 13 14 15 16 15 14 11 10 10 10 10 9 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 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 1 0 2 8 13 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 16 20 24 27 30 36 44 54 61 62 44 14 1 0 0 0 0 0 0 0 0 0 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 1 3 9 16 15 7 2 0 0 0 0 0 0 0 0 0 0 0 1 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 18 34 46 45 31 17 12 8 4 3 11 27 38 48 53 55 56 59 61 64 66 64 59 54 52 54 54 47 33 22 14 5 1 1 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 13 33 57 79 109 128 136 140 133 121 113 109 107 110 103 94 100 118 129 130 126 120 113 108 94 75 67 71 77 80 86 87 89 102 131 165 195 205 208 208 203 196 195 187 170 148 130 114 106 99 nan nan nan nan nan nan nan nan nan nan nan 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 5 4 4 5 5 5 4 4 3 2 2 1 2 2 4 7 10 13 15 16 16 17 21 24 26 26 27 26 26 28 28 28 27 26 26 26 27 27 28 26 24 22 19 17 12 7 8 8 9 10 10 10 10 11 10 7 5 5 5 6 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 14 14 14 14 17 24 32 41 41 26 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 1 3 4 3 1 0 0 3 7 8 7 4 1 0 0 0 0 0 0 0 0 0 0 4 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 26 40 39 25 12 8 4 1 2 10 25 31 37 44 49 52 55 56 60 66 68 64 59 56 54 54 52 47 40 34 28 17 9 6 6 3 3 2 0 0 1 2 3 1 0 0 0 0 0 0 0 0 0 0 11 44 69 96 124 137 141 137 129 122 119 120 122 119 117 122 126 127 123 117 115 122 132 130 116 108 107 109 110 110 112 124 144 166 185 198 199 197 196 194 194 197 194 179 155 132 116 109 104 102 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 nan nan 8 7 6 5 4 4 4 4 4 4 4 5 5 4 3 2 1 1 1 2 4 6 9 14 17 17 17 19 22 22 22 23 22 21 22 23 22 22 22 22 21 21 21 22 22 20 18 16 13 8 5 5 6 7 6 6 6 7 7 6 3 3 2 3 3 4 5 5 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 6 4 4 7 12 18 18 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 1 1 3 4 4 5 5 4 1 0 0 0 0 0 0 0 0 0 7 12 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 33 32 16 6 2 0 0 3 12 24 27 29 34 42 49 52 53 55 62 66 64 61 60 57 54 50 50 45 39 36 32 30 22 14 5 8 10 10 9 7 10 8 2 0 0 0 1 2 2 0 0 0 12 51 90 107 115 129 140 141 137 134 128 128 129 130 130 126 121 116 107 103 97 101 119 140 146 145 141 140 138 138 141 148 161 176 184 191 191 187 187 188 188 194 204 202 185 160 137 122 115 111 108 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 nan nan nan nan 8 7 7 6 5 4 4 3 2 2 2 3 4 4 3 2 2 1 1 2 2 3 6 11 17 22 21 19 19 18 17 16 17 16 17 17 18 18 19 18 17 16 15 15 15 15 14 13 10 6 4 3 3 3 4 3 2 3 3 3 3 3 3 3 3 3 3 4 4 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 2 4 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 3 3 5 6 5 5 6 5 2 0 0 0 0 0 0 1 3 6 12 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 24 20 3 0 0 0 0 0 4 18 24 26 26 34 43 46 49 50 53 57 56 55 56 54 50 46 48 47 41 35 29 34 30 20 7 4 7 9 12 13 14 13 7 2 0 0 6 18 24 13 2 4 35 97 126 132 130 133 139 140 135 134 132 136 138 136 135 128 116 106 93 82 81 91 112 133 143 146 147 144 146 153 166 179 179 176 179 184 183 181 184 187 187 192 197 194 184 160 138 124 116 115 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 7 7 6 6 5 4 3 2 2 1 1 2 2 2 1 1 1 1 1 2 2 3 6 10 16 20 20 18 16 14 13 14 14 15 15 14 16 17 17 16 14 12 11 9 9 9 8 6 5 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 5 5 6 7 7 6 7 6 4 1 0 0 1 2 4 8 11 14 16 11 3 0 0 0 0 0 0 0 0 0 0 0 1 4 3 3 0 0 0 0 0 4 23 18 0 0 0 0 0 0 0 10 17 21 21 26 36 40 41 41 43 46 46 46 47 43 38 36 40 44 41 36 31 33 32 23 9 2 1 1 1 1 3 10 17 23 21 18 19 42 75 61 34 27 78 121 129 128 132 135 137 138 135 134 136 139 142 142 137 129 118 109 99 87 83 90 105 122 136 142 141 135 133 142 160 175 164 154 161 166 169 173 179 183 182 181 170 163 179 157 136 122 115 115 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 7 7 6 6 6 5 4 3 3 2 2 1 1 1 0 0 0 0 1 1 2 2 4 5 8 13 17 18 17 14 12 12 14 14 13 12 12 13 15 14 13 11 8 6 5 5 4 3 2 2 2 2 2 2 2 2 2 2 3 4 5 5 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 6 7 8 8 11 13 11 5 1 0 2 8 14 17 18 18 16 9 4 1 0 0 0 0 0 0 0 0 0 0 0 2 9 11 10 4 1 0 0 0 2 22 16 1 0 0 0 0 0 0 3 7 9 12 20 28 33 35 34 36 38 41 43 42 36 30 27 26 29 31 32 36 33 31 22 13 8 4 0 0 0 0 2 15 48 68 76 62 78 123 126 112 95 124 134 126 128 133 138 140 140 137 136 136 136 138 142 140 133 127 123 117 105 95 96 102 111 121 129 130 125 118 120 132 146 141 138 146 151 158 163 168 173 171 171 160 156 163 152 135 120 113 111 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 7 6 6 6 6 6 6 5 5 4 3 2 2 1 0 0 0 0 0 0 1 1 2 2 4 7 12 16 17 16 14 13 14 14 13 12 11 11 12 12 10 9 6 5 4 4 2 1 1 1 1 2 2 2 2 2 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 3 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 7 8 8 11 16 20 18 10 4 8 16 24 26 23 20 17 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 12 11 9 5 0 0 2 11 20 12 3 0 0 0 0 0 0 0 1 1 2 4 14 23 30 31 30 32 37 41 43 41 35 28 22 19 19 18 18 20 22 19 19 24 26 16 10 7 7 5 10 45 76 104 107 130 144 156 155 140 127 123 122 122 125 132 138 143 141 138 136 134 132 134 138 137 136 135 129 118 109 104 102 102 106 113 118 118 112 107 110 123 135 136 136 140 149 156 160 163 162 162 162 158 153 145 134 122 113 108 108 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 2 4 5 6 5 6 6 6 6 6 6 4 2 1 1 1 0 0 0 0 0 0 1 1 1 1 3 7 11 14 16 16 16 16 14 13 12 11 11 11 10 9 7 5 4 4 3 1 0 0 0 1 1 2 2 2 2 2 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 4 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 8 12 14 17 22 25 23 14 10 20 30 35 32 24 15 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 9 9 7 4 1 0 0 7 20 20 10 2 0 0 0 0 0 0 0 0 0 0 0 0 5 15 20 20 20 21 24 36 39 40 35 30 26 22 21 22 22 19 18 24 39 49 50 44 39 34 28 30 47 70 93 98 106 128 150 159 151 144 143 135 124 118 120 127 135 136 134 130 128 131 132 136 140 139 135 129 119 112 107 103 97 96 100 107 110 107 101 100 107 116 121 124 131 142 152 158 159 157 156 158 155 147 138 129 121 115 113 111 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 1 3 4 4 4 5 4 4 6 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 12 15 16 17 16 14 12 12 12 12 11 10 8 5 4 3 2 1 0 0 0 0 0 0 1 1 0 0 1 1 1 2 2 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 11 16 20 23 28 29 26 22 22 29 37 37 28 17 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 4 1 0 0 0 0 0 10 22 21 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 15 15 16 22 23 33 37 39 39 34 34 38 36 29 23 28 48 63 71 76 73 64 59 61 70 79 94 101 104 113 131 153 165 163 155 149 138 123 114 113 120 123 123 119 118 124 133 141 140 136 129 122 113 112 108 104 98 95 96 102 107 106 101 95 94 100 106 113 122 133 144 153 157 153 148 149 149 140 127 119 116 116 115 110 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 0 0 0 1 2 2 2 3 3 2 4 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 13 16 18 18 16 15 14 13 13 13 12 10 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 13 19 22 26 31 32 30 27 30 33 33 28 18 10 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 7 18 20 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 14 14 14 14 20 29 40 45 47 55 64 63 53 44 46 60 76 88 97 93 81 73 75 84 96 105 107 108 110 121 145 164 164 158 157 152 135 121 114 117 120 121 120 120 127 136 140 137 132 125 113 103 108 111 108 105 103 101 103 109 111 106 97 90 90 95 103 114 124 132 143 152 149 141 139 142 135 120 106 102 106 105 99 94 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 7 3 0 0 0 0 0 1 1 1 2 3 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 10 14 18 20 20 19 17 15 14 14 13 11 8 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 13 19 22 26 30 30 29 31 29 20 13 9 9 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 12 13 13 19 33 41 51 70 90 96 86 76 73 78 88 100 108 105 90 78 78 87 96 105 116 122 121 122 139 155 153 144 149 153 137 119 110 116 123 128 132 134 140 143 140 136 132 124 106 95 103 112 114 113 111 109 108 110 113 110 103 94 89 89 96 108 118 121 132 145 143 133 131 137 136 127 113 101 93 91 85 76 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 4 3 1 0 0 0 0 0 0 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 14 18 21 22 21 18 16 14 13 12 10 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 1 2 2 4 4 4 5 5 5 5 5 5 5 5 5 5 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 7 8 14 19 21 25 28 26 23 20 15 7 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 7 10 12 15 26 35 47 70 96 108 105 98 94 94 97 103 109 106 93 84 88 97 103 109 123 132 134 131 140 147 137 122 133 146 133 118 111 113 118 126 132 135 139 142 140 136 134 128 110 95 97 109 117 119 117 115 112 110 111 111 105 97 90 86 91 103 114 116 123 132 130 123 121 128 134 135 129 114 99 91 84 75 69 nan nan nan nan nan nan 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 6 6 4 2 1 0 0 0 0 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 13 18 20 20 18 16 14 13 12 10 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 2 3 4 4 4 5 5 5 5 5 5 5 5 5 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 5 5 6 7 14 18 19 23 25 24 18 9 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 10 18 30 44 63 84 98 102 101 98 97 100 102 99 93 90 90 99 112 118 121 131 140 147 149 150 150 135 121 125 137 134 123 115 115 118 120 123 126 131 137 141 141 140 136 122 103 97 105 118 121 120 122 117 111 109 112 107 97 90 85 88 96 104 109 114 117 116 111 107 112 121 130 132 123 111 101 94 88 89 nan nan nan nan nan 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 9 7 4 3 2 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 15 15 15 15 14 12 10 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 5 5 5 5 5 5 5 3 2 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 6 5 4 4 3 5 9 13 15 20 22 23 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 7 24 48 64 80 90 89 85 84 90 102 104 98 92 91 94 104 123 130 134 140 149 156 160 158 154 145 128 122 130 134 128 121 121 122 119 117 118 124 136 145 146 143 140 130 116 107 108 114 116 119 122 121 114 110 111 110 102 90 84 85 91 95 97 99 102 104 102 98 100 107 118 124 120 112 104 98 98 105 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 7 11 11 10 8 7 6 4 1 0 0 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 2 5 7 9 11 12 11 10 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 4 2 2 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 8 8 6 5 4 3 3 3 5 7 9 12 17 17 13 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 48 69 84 91 80 69 71 82 104 107 100 93 96 104 116 128 135 139 148 154 159 161 158 153 144 127 117 119 126 127 124 123 123 119 115 111 112 123 136 145 146 142 131 120 115 112 107 105 111 119 121 118 114 112 114 107 94 84 84 88 92 91 90 90 95 98 98 97 102 112 119 117 111 107 104 107 112 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 4 6 9 9 8 9 10 8 4 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 6 7 7 6 5 4 3 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 4 4 4 4 4 3 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 10 8 7 6 5 4 4 3 3 5 6 7 8 8 8 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 23 41 60 77 90 81 65 66 77 97 104 100 98 105 120 135 142 143 144 147 151 156 158 154 145 132 119 111 110 114 120 121 121 120 118 114 106 99 100 115 133 145 143 133 119 114 109 100 94 99 110 118 121 122 123 124 118 107 95 88 87 88 90 89 87 89 93 96 96 100 109 117 120 118 116 114 115 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 5 6 8 8 9 11 11 9 7 6 4 3 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 5 4 1 0 0 1 1 2 1 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 10 10 9 8 6 5 5 5 4 4 4 5 6 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 27 39 41 48 65 88 85 68 67 76 92 98 95 100 113 133 149 155 154 150 147 147 151 153 146 132 120 113 110 107 107 110 115 114 115 117 116 108 99 89 93 113 131 137 132 119 110 106 101 96 97 105 114 122 129 136 140 137 128 116 103 94 88 88 91 88 88 92 94 96 100 107 115 120 123 123 121 120 122 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 11 10 7 6 7 7 9 11 14 13 12 10 8 5 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 2 0 0 1 1 1 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 9 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 33 50 47 50 62 82 86 72 69 77 91 97 94 98 116 137 150 154 153 151 148 147 150 150 139 121 114 115 115 113 109 107 112 112 114 117 119 116 111 102 93 96 112 127 133 127 116 110 107 102 98 99 107 118 128 136 143 144 140 136 123 114 106 101 99 96 94 96 100 103 106 109 115 120 122 123 123 123 125 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 10 11 10 8 7 7 7 10 13 15 17 18 15 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 7 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 28 44 48 51 58 74 84 77 71 75 85 94 96 101 116 130 134 133 132 136 141 147 151 149 138 124 119 123 127 125 119 118 118 118 117 119 121 121 119 115 102 90 95 115 131 134 124 115 109 104 99 93 96 105 115 123 131 133 136 138 133 129 126 122 117 112 109 108 111 114 112 113 119 126 127 125 122 122 124 120 nan nan nan 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 10 12 10 7 6 6 8 10 12 15 18 18 16 12 6 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 5 5 7 8 7 8 7 8 8 8 9 8 8 10 10 9 8 8 8 7 7 7 7 7 6 3 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 17 22 36 46 50 54 67 81 80 71 70 75 83 91 100 110 114 111 107 102 107 118 132 144 149 141 132 128 130 135 132 126 124 126 126 123 122 123 123 124 121 110 93 84 98 118 128 123 114 107 106 104 97 95 96 100 107 118 127 132 135 134 135 139 141 136 130 126 122 116 112 112 117 123 131 137 131 124 119 116 114 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 10 11 11 9 6 6 6 8 9 9 9 11 14 17 18 14 7 2 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 9 8 7 7 8 7 7 7 8 8 8 9 9 11 13 14 14 14 15 13 9 7 7 7 6 6 6 4 4 6 6 5 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 3 2 2 5 10 16 20 29 40 47 51 61 76 80 72 66 65 69 79 91 100 100 94 89 87 90 97 110 126 138 140 138 134 133 134 132 128 127 130 132 130 126 126 127 126 124 117 103 88 86 103 120 123 114 106 108 106 104 101 97 94 97 106 118 126 132 135 139 143 144 142 141 139 137 130 123 124 125 127 132 141 143 134 122 112 107 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 10 10 10 10 8 7 7 8 8 7 7 6 6 8 12 19 22 16 7 3 1 1 2 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 12 12 9 7 7 7 7 7 7 7 7 8 9 12 16 19 19 19 20 20 19 14 10 7 7 7 7 6 6 6 7 7 7 6 6 5 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 8 8 9 10 11 11 8 7 10 14 17 22 30 39 46 53 65 76 76 68 63 61 68 80 91 92 85 81 81 83 87 95 107 118 127 133 134 132 130 128 126 125 126 131 131 127 130 130 128 126 123 116 106 94 99 113 123 118 110 109 108 108 105 98 93 93 98 108 122 132 136 140 145 134 130 138 141 146 147 146 145 138 134 139 147 152 150 138 123 113 112 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 12 10 9 8 7 6 7 8 6 5 4 4 4 4 7 13 22 21 14 8 6 7 6 6 6 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 11 15 12 8 7 7 7 7 6 6 6 6 7 8 10 14 18 20 21 21 21 20 19 14 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 5 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 12 12 12 13 15 16 14 11 11 12 14 15 16 20 36 44 53 67 78 70 66 63 65 76 85 89 86 84 80 79 82 87 94 101 109 117 125 128 126 126 125 125 125 121 126 126 131 130 126 122 122 122 120 112 110 114 120 122 118 113 111 108 102 96 91 90 92 99 117 133 137 142 142 125 119 127 136 145 154 159 155 142 134 140 151 156 160 156 151 147 139 nan 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 9 7 6 4 3 2 2 3 3 4 4 4 5 9 15 19 16 12 10 12 10 9 9 8 6 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 4 8 12 14 15 13 10 8 8 8 7 7 6 6 6 6 6 6 8 13 19 22 23 22 21 20 15 8 6 6 6 6 6 6 7 7 7 7 6 6 6 7 6 6 6 5 4 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 8 9 12 15 17 17 15 14 14 14 13 12 12 21 31 42 56 72 71 67 66 69 76 85 91 93 93 88 82 80 82 85 90 96 102 108 112 114 116 118 120 119 117 119 121 124 125 125 122 122 123 123 120 119 120 121 126 128 121 115 111 105 99 92 90 92 96 108 125 136 142 138 122 112 118 130 141 149 157 151 134 125 130 141 152 159 163 168 170 161 nan 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 10 9 7 6 4 1 0 0 1 2 3 4 4 4 6 8 11 11 8 5 5 6 9 12 13 9 6 5 5 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 11 14 14 14 13 12 10 9 9 9 8 7 6 6 6 6 6 7 11 18 22 24 23 21 19 15 8 6 7 7 7 7 7 7 6 6 6 6 6 7 7 6 5 5 5 6 6 6 4 3 3 4 4 2 0 1 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 5 9 14 16 18 18 18 16 14 14 13 12 9 10 16 30 45 61 70 69 67 69 76 86 96 103 106 102 91 82 80 80 82 86 91 95 97 98 98 99 102 104 106 108 111 112 115 118 122 122 123 123 121 121 124 127 132 138 134 126 117 108 101 96 94 97 99 105 118 131 137 135 123 112 114 126 136 141 143 138 124 117 123 134 146 153 156 160 163 156 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 7 6 5 4 1 0 0 0 0 0 2 2 3 4 6 7 6 4 2 3 4 7 10 13 11 8 7 7 7 8 10 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 1 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 7 10 12 13 13 12 12 12 11 10 9 8 8 7 9 11 11 11 11 11 14 19 22 24 23 21 17 12 7 6 6 7 8 8 7 7 6 6 6 7 8 9 8 7 6 5 5 6 6 6 6 5 5 6 7 7 6 6 6 6 6 5 3 1 2 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 6 14 19 20 19 18 17 14 12 13 11 10 8 4 4 18 33 50 66 73 70 67 71 82 95 106 113 115 105 87 80 77 75 76 80 86 90 92 91 90 90 92 92 96 99 101 102 104 108 116 122 124 123 124 125 129 138 141 145 141 129 114 105 100 98 101 103 107 117 127 132 133 127 119 116 121 129 129 123 121 115 114 122 134 142 147 149 150 148 143 139 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 8 6 4 4 3 1 0 0 0 0 0 0 1 1 2 3 5 6 6 5 5 6 8 8 8 9 9 9 9 9 10 12 14 14 13 8 4 2 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 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 3 2 3 8 10 12 12 12 12 13 13 10 9 8 7 7 7 11 16 19 20 20 20 20 21 21 22 22 19 14 8 7 6 6 7 8 8 8 8 7 7 8 8 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 7 7 5 4 3 1 0 0 0 0 0 0 0 0 0 1 3 3 3 2 3 8 17 21 20 18 15 11 9 8 10 10 6 2 0 0 8 20 36 53 68 74 71 70 74 83 97 108 110 110 95 80 72 69 68 68 74 82 89 91 92 91 91 91 92 92 93 93 92 94 106 116 124 128 129 128 131 140 140 146 149 141 124 111 105 103 101 99 104 115 124 129 131 127 122 118 119 124 119 108 107 108 110 121 135 145 147 146 146 143 136 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 12 9 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 2 6 10 11 10 11 12 11 9 8 9 10 9 7 7 8 11 15 18 16 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 7 5 7 10 11 12 12 12 13 13 11 8 7 7 8 8 10 14 17 20 22 24 25 25 23 21 19 18 14 9 8 7 7 7 8 8 9 10 9 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 8 9 9 8 8 7 6 4 2 1 0 0 0 0 0 0 0 2 4 5 4 2 2 8 17 18 16 13 8 5 3 3 4 6 4 1 0 0 2 8 19 35 52 70 78 79 74 72 82 101 108 111 102 83 69 64 61 60 63 72 83 88 91 91 90 88 87 87 85 84 85 88 101 107 116 125 133 136 139 142 140 142 141 138 134 125 114 108 106 100 101 114 120 124 130 125 122 119 119 123 122 114 109 106 106 116 133 145 148 145 145 142 133 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 16 13 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 13 13 12 13 14 12 10 9 9 8 5 4 4 6 8 13 16 15 11 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 1 1 1 2 2 2 2 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 2 4 6 5 7 9 10 10 9 9 11 11 12 12 12 11 9 7 7 7 11 16 18 17 16 15 17 22 26 27 25 21 16 11 10 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 9 8 8 8 9 10 11 10 10 10 11 13 14 10 10 10 9 10 12 12 12 13 12 10 8 5 3 1 0 0 0 0 0 0 2 5 6 4 2 2 11 15 12 9 6 4 4 3 2 1 1 0 0 0 0 0 1 6 17 32 52 75 90 83 73 71 86 106 111 108 93 75 65 60 57 57 66 76 82 84 85 84 81 79 78 76 72 74 80 93 104 109 115 125 136 142 143 142 139 135 132 136 138 126 117 109 101 102 113 117 122 128 130 126 118 116 122 129 129 119 108 102 110 128 141 147 146 143 137 130 127 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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