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 3 4 5 5 5 4 2 1 1 1 3 4 4 3 3 3 3 2 2 2 3 4 5 5 5 4 4 4 5 6 7 7 6 6 5 4 5 6 7 8 8 8 7 6 5 4 4 4 4 3 4 4 3 3 2 1 0 1 1 2 2 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 3 2 2 4 5 5 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 5 4 4 4 5 5 5 4 3 3 3 3 3 4 5 5 5 5 5 5 4 4 3 4 5 5 6 6 7 6 5 5 5 6 6 5 5 3 3 2 3 3 5 6 6 6 6 5 5 5 7 7 7 6 5 4 3 -1 -2 2 5 7 7 6 10 7 5 9 6 3 2 -1 1 14 21 18 17 14 8 9 14 16 16 16 15 11 9 12 16 12 2 2 7 10 12 13 10 6 7 8 8 8 9 10 7 5 3 2 3 3 5 5 3 2 2 2 3 4 6 9 10 9 7 5 6 8 10 9 7 5 5 5 5 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 5 5 4 4 4 4 4 3 2 3 3 6 8 11 13 10 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 4 3 4 3 -1 -6 -5 2 3 3 4 5 4 3 4 6 8 8 7 7 7 7 9 9 7 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 8 8 7 6 5 5 5 6 7 7 6 5 4 4 4 4 4 4 5 6 6 7 7 8 9 9 8 8 7 6 5 7 8 8 8 7 7 8 13 17 14 12 10 9 10 8 4 2 -6 -11 -4 -1 -0 5 7 3 3 4 2 -1 -4 -6 -6 -5 -6 -5 -2 4 9 13 16 19 20 21 26 26 25 21 13 8 7 6 5 5 7 13 21 25 21 15 11 11 15 21 26 24 18 12 9 9 8 7 6 5 4 4 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 3 5 6 6 5 3 2 1 1 3 5 4 4 4 3 2 2 1 2 2 3 4 5 5 4 4 4 5 5 6 7 7 6 5 4 5 5 5 6 8 8 7 6 5 4 4 4 4 3 3 3 4 3 3 2 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 4 5 5 3 2 2 3 4 3 4 4 3 3 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 4 5 5 4 4 4 4 5 4 4 3 3 3 3 4 5 5 5 5 6 6 5 5 4 4 5 6 6 6 6 7 7 6 6 6 6 6 6 5 4 3 3 2 3 4 6 7 7 6 6 6 6 6 7 7 6 5 4 2 -3 -3 1 3 6 10 14 15 7 7 10 9 10 15 13 9 12 18 21 23 22 19 18 17 16 15 14 11 8 10 13 17 15 7 4 8 11 13 11 6 4 6 7 8 11 11 9 7 6 5 2 -1 2 6 6 4 2 -1 -0 4 6 7 8 9 8 5 4 4 2 3 5 5 5 4 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 5 5 5 5 4 4 3 2 1 3 5 7 9 12 12 7 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 3 -1 -7 -4 3 5 2 2 5 5 4 4 5 6 5 5 6 7 9 10 8 5 3 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 8 9 8 5 4 5 5 5 6 7 7 6 5 4 3 3 3 3 4 4 5 6 6 7 8 8 9 9 8 8 7 7 7 8 8 8 8 8 9 13 16 15 12 11 11 11 7 7 4 0 1 2 3 5 7 7 8 8 5 0 -2 -3 -4 -4 -5 -5 -4 -0 5 8 12 15 16 16 17 17 19 15 8 7 7 6 5 5 5 7 11 13 13 11 7 6 8 12 17 17 12 9 8 7 7 7 7 6 6 6 5 6 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 2 3 5 6 6 4 3 2 2 3 4 4 4 4 3 3 3 2 1 1 2 3 5 6 5 4 3 4 5 6 6 7 6 6 5 5 5 5 5 7 7 7 6 6 5 4 4 4 3 4 4 3 4 4 3 2 2 1 1 2 2 2 2 2 2 3 3 4 3 3 3 3 3 3 3 2 2 2 3 5 4 3 2 3 3 3 4 4 4 3 3 3 4 5 5 5 5 4 4 4 5 5 4 4 3 3 4 5 5 5 4 5 5 4 4 4 4 3 3 3 4 5 5 5 5 6 6 5 4 4 5 6 6 6 6 6 7 7 7 6 6 6 6 6 5 4 4 3 3 3 4 5 7 7 7 7 6 6 6 7 7 7 5 4 -0 -4 -1 -0 -1 3 11 17 13 7 7 8 6 12 26 26 14 7 7 11 13 12 11 10 11 12 11 10 8 5 4 8 14 16 12 10 10 13 14 12 10 10 9 6 6 7 8 8 9 9 8 4 1 2 3 4 4 2 -0 3 7 8 7 6 5 4 4 3 2 0 2 4 4 4 3 3 3 3 3 3 3 3 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 5 4 4 5 4 3 2 1 2 3 5 8 12 11 8 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 3 -4 -6 3 8 4 -1 2 5 5 5 5 5 4 3 4 6 9 10 7 4 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 8 9 8 5 3 3 4 4 5 6 6 6 5 5 3 3 3 3 3 3 4 4 5 6 7 8 9 9 10 10 10 10 9 8 8 9 9 8 8 9 12 13 13 11 10 10 9 9 6 5 5 6 7 8 8 8 10 9 7 2 1 2 2 1 1 2 1 2 5 7 9 11 10 9 8 8 9 8 6 6 7 7 6 6 5 4 3 4 5 6 6 4 4 6 6 6 6 8 9 9 8 7 7 7 6 6 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 3 2 2 3 5 6 6 5 3 2 3 3 3 3 3 3 3 3 3 2 1 1 2 4 5 5 4 4 4 4 5 5 6 6 6 6 5 5 5 5 6 7 7 6 6 6 5 4 4 3 4 4 3 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 3 3 2 3 3 5 4 3 2 2 3 4 4 4 3 3 4 4 4 5 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 4 4 5 6 7 7 6 6 6 7 6 6 6 6 6 6 5 5 5 4 4 4 4 5 6 7 7 7 7 6 6 7 7 6 5 3 -5 -9 -4 -1 -2 0 5 8 5 6 8 9 7 10 18 18 9 5 2 -0 -1 -1 -0 -1 1 3 3 3 4 2 -1 3 11 15 14 13 13 15 15 15 17 19 13 6 4 4 3 7 13 12 8 5 3 2 0 1 3 2 3 7 10 9 8 5 4 3 4 3 1 3 5 5 4 3 3 3 3 3 3 3 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 4 3 3 3 4 4 3 3 1 1 1 2 4 8 13 11 6 6 6 5 5 5 4 4 5 5 6 5 5 5 4 5 6 6 6 6 5 6 2 -4 -1 10 9 -0 -1 4 6 6 5 4 4 3 4 5 7 7 6 5 4 3 3 3 4 4 5 5 5 5 5 5 5 5 6 6 5 6 7 8 8 6 4 3 3 3 3 4 5 6 6 5 4 4 4 4 3 3 3 3 4 5 6 7 8 9 10 10 11 11 11 9 9 9 9 8 8 8 9 10 11 11 9 8 8 7 6 5 6 9 11 11 9 7 8 9 9 8 5 5 5 4 5 6 5 6 7 8 8 8 7 6 4 4 4 5 5 5 7 8 7 7 6 4 2 1 2 3 4 4 4 4 3 2 3 6 8 9 8 7 7 7 6 4 3 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 3 3 2 3 5 6 6 4 3 3 3 3 3 3 3 3 4 3 2 2 1 2 3 3 4 5 4 4 4 4 4 4 5 5 6 6 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 3 3 3 4 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 3 3 3 3 4 5 4 3 3 3 3 4 4 4 4 3 3 4 4 4 5 5 5 4 4 5 5 4 4 4 4 5 5 5 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 7 7 6 6 6 6 6 6 6 6 7 7 6 5 5 5 4 4 4 5 6 7 7 8 8 7 7 7 7 7 6 2 -7 -15 -12 -1 2 2 2 0 -1 4 9 9 6 6 8 7 3 5 5 1 1 4 3 1 -1 0 0 -1 1 3 2 2 7 10 9 8 10 12 13 13 16 17 12 6 5 5 3 8 14 11 6 5 3 1 1 2 3 3 6 10 11 10 7 4 3 4 4 3 3 6 7 6 4 3 3 2 3 3 3 3 3 4 3 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 7 6 5 5 4 3 3 3 3 2 2 2 1 -0 -0 -0 2 6 12 12 7 5 5 6 5 5 4 3 4 5 5 5 5 4 4 5 6 7 6 6 5 5 5 1 -3 3 10 5 -1 3 7 7 6 5 4 4 4 4 5 6 6 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 4 3 2 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 6 7 7 8 9 10 10 9 9 8 7 6 6 6 6 6 7 7 9 9 8 7 7 6 6 6 8 11 11 9 9 8 9 12 15 14 12 9 6 5 5 5 5 7 7 8 7 6 4 3 3 4 5 5 6 6 6 6 6 6 4 2 2 3 4 3 3 4 5 5 3 3 4 5 7 6 5 5 5 5 4 3 3 6 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 nan nan nan
nan nan nan nan nan nan nan 4 5 6 5 4 3 2 3 5 6 5 4 3 2 2 2 2 2 3 3 3 3 2 2 1 2 2 3 4 4 4 4 4 4 4 4 5 5 6 5 5 4 4 5 5 6 6 6 6 5 5 4 4 4 3 2 3 4 4 4 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 3 2 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 5 5 5 5 6 6 6 5 5 4 4 5 5 5 6 6 5 4 4 4 4 3 3 4 5 6 6 6 7 6 6 6 6 6 6 7 7 7 7 6 5 5 5 5 4 4 5 6 7 7 8 9 8 7 6 7 7 7 4 -3 -12 -11 1 8 7 4 2 4 7 9 5 4 3 4 5 5 4 4 4 6 8 8 7 3 3 3 2 1 4 8 6 4 4 2 -0 1 5 7 5 6 7 6 5 5 3 2 4 7 4 3 4 3 4 4 4 4 5 9 12 12 9 5 3 3 3 4 5 6 8 7 4 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 6 5 4 4 3 2 2 1 1 0 -1 -2 -2 -1 3 8 12 7 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 5 4 5 4 0 -5 -1 4 3 3 6 7 7 6 5 4 4 4 5 5 6 6 6 5 4 4 3 3 3 4 4 4 3 4 4 4 4 4 4 4 5 5 6 6 7 6 6 4 3 2 2 4 5 5 5 5 5 5 6 5 5 5 4 4 4 5 6 6 7 7 7 7 7 7 6 4 3 3 3 2 2 4 5 6 7 8 8 8 7 6 5 6 9 11 11 12 11 11 15 19 20 16 10 6 4 3 3 3 5 7 7 7 8 6 4 3 4 4 5 5 5 4 4 5 5 4 3 3 4 4 4 4 5 6 6 5 5 4 4 5 5 4 4 4 3 3 3 4 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 6 7 6 4 3 2 4 5 6 6 4 3 3 2 1 1 1 2 2 3 3 2 2 1 1 1 2 3 4 5 5 5 5 4 4 4 4 5 5 5 4 5 5 5 6 6 6 5 5 4 4 4 4 3 3 3 3 4 4 4 3 2 1 2 2 2 2 2 2 2 2 2 2 3 3 3 2 2 4 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 4 4 4 5 5 6 6 5 5 4 3 3 2 3 5 7 7 6 6 5 6 7 8 8 8 7 8 7 7 7 6 5 5 5 5 5 5 5 7 7 7 8 10 9 7 6 7 8 7 6 2 -3 -4 3 9 7 5 9 12 10 5 3 6 6 5 4 5 3 1 1 5 9 13 13 9 7 7 4 2 2 3 3 1 1 -1 -4 -6 -2 3 3 2 1 1 2 1 -3 -5 -2 2 0 -1 3 5 6 5 4 5 8 11 11 10 7 4 3 3 3 5 7 9 8 5 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 5 5 4 5 5 6 6 5 5 5 6 7 7 7 7 7 6 5 4 3 2 2 1 1 0 -1 -2 -3 -2 -0 4 11 8 4 3 3 4 5 6 5 4 4 6 6 6 6 5 6 5 5 5 5 5 5 4 5 4 -2 -9 -6 1 3 4 6 7 7 6 4 3 4 5 5 6 6 6 5 5 5 4 3 3 3 4 4 4 3 3 4 4 4 4 4 4 5 5 6 7 7 7 6 5 4 3 2 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 5 5 4 3 2 1 1 2 3 4 5 6 7 7 7 7 7 6 5 5 6 8 9 12 12 13 14 16 14 10 6 5 4 3 3 3 3 6 6 6 7 7 4 3 4 4 3 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 6 7 6 4 5 5 5 6 5 4 3 3 3 5 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 nan nan
nan nan nan nan nan nan nan 4 3 4 6 7 6 4 3 3 3 5 6 6 4 3 2 2 2 1 1 1 2 3 3 2 1 1 1 1 2 3 4 5 6 5 5 4 4 4 4 5 5 4 4 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 4 4 4 3 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 6 6 6 5 5 4 4 5 5 5 6 5 5 5 4 3 3 3 4 5 8 8 7 6 6 8 9 9 10 9 9 8 8 7 6 5 5 5 5 5 5 5 6 6 7 7 8 9 10 8 7 7 7 8 7 5 2 -2 -1 4 5 7 14 14 9 6 5 4 5 3 0 2 2 0 -2 0 6 10 12 12 10 7 4 1 -0 -1 -1 -2 -2 -3 -6 -8 -3 4 6 4 0 -0 1 -0 -7 -9 0 8 4 -1 2 6 4 4 5 6 10 11 10 8 5 3 3 3 4 5 8 8 5 3 2 2 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 5 4 4 3 3 2 2 1 1 1 -1 -1 -0 2 9 11 5 3 2 3 4 6 6 5 5 7 8 8 7 7 6 5 5 5 5 5 4 5 6 6 4 -5 -9 -3 3 3 4 5 6 6 5 4 3 3 4 5 6 6 6 6 5 5 4 3 3 4 4 4 3 4 4 3 4 4 5 4 4 4 4 5 6 7 7 6 6 4 4 3 4 4 5 4 4 5 5 6 6 6 6 6 5 5 4 4 4 3 3 3 4 4 3 3 3 4 4 4 5 5 6 6 6 6 6 5 6 5 5 5 5 6 8 9 10 10 8 6 5 5 4 4 3 3 3 3 5 6 5 4 4 2 3 5 4 3 3 2 2 2 3 3 4 4 4 4 5 6 5 5 5 6 6 5 4 5 5 5 7 8 6 4 4 5 6 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 nan nan nan nan nan
nan nan nan nan nan nan nan 6 4 4 6 7 7 6 4 2 3 4 6 6 5 4 3 3 2 2 1 1 1 2 3 2 2 2 1 1 1 2 3 4 5 5 5 5 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 3 3 3 3 2 2 1 2 2 2 2 2 3 2 2 3 4 4 4 3 3 3 4 5 5 5 5 5 5 5 4 3 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 5 6 8 8 7 7 8 9 10 10 10 9 9 8 8 7 6 5 5 5 5 5 5 5 5 6 7 6 7 9 11 9 7 7 7 8 7 7 5 -1 -5 -1 5 13 16 10 5 4 4 3 -0 -3 -3 -0 3 4 1 -3 -0 5 8 6 7 5 2 -1 -2 -1 2 4 2 -3 -7 -6 0 7 9 7 5 3 4 3 -1 0 7 8 5 2 0 3 1 1 5 9 11 11 9 7 4 4 4 4 4 5 7 6 3 2 2 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 7 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 3 4 4 4 3 3 2 1 2 7 12 10 6 4 3 3 5 6 6 6 7 7 8 8 8 6 5 5 5 5 6 6 6 6 6 5 -0 -7 -4 2 3 3 3 4 5 5 5 3 2 3 4 5 6 6 6 5 5 5 4 3 3 2 3 4 4 3 3 3 4 5 5 5 4 4 4 5 6 6 7 7 6 5 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 4 5 3 2 4 5 4 4 5 4 4 5 5 4 4 4 4 5 5 5 5 5 6 7 7 7 6 6 6 5 5 4 4 4 3 4 4 4 4 5 6 6 5 4 2 3 5 4 3 4 2 1 1 1 2 3 2 2 4 5 6 6 5 6 6 5 4 4 4 5 6 7 9 9 7 7 6 8 9 7 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 9 7 5 5 6 7 7 5 4 3 3 5 6 5 4 4 4 4 3 3 2 1 1 2 2 3 2 2 2 1 1 2 2 3 4 5 5 5 5 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 2 1 1 2 2 2 2 3 3 3 3 3 4 4 4 3 3 4 4 5 5 4 4 5 5 5 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 5 7 7 7 7 8 9 10 10 11 10 10 8 8 8 8 6 5 5 5 5 5 4 4 5 6 6 7 7 9 11 10 8 7 7 8 8 7 5 2 -3 -2 6 13 12 7 5 3 1 -3 -7 -6 -2 2 5 6 4 -2 -4 1 3 1 1 1 -0 -1 -1 2 5 10 10 4 -3 -2 3 9 11 9 8 4 4 3 4 10 11 4 1 1 1 2 1 0 6 12 13 11 9 4 2 4 5 4 4 6 6 4 2 2 2 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 4 4 5 9 12 11 9 8 6 5 6 7 7 7 7 6 6 8 7 6 6 5 5 5 6 6 5 6 5 0 -5 -3 1 3 3 3 3 4 5 5 3 3 2 1 4 5 6 6 5 5 5 5 4 3 2 2 3 3 3 2 1 2 4 5 5 5 5 5 5 5 6 6 7 7 7 6 5 3 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 5 7 6 3 4 5 5 5 4 5 4 5 4 3 3 3 4 4 4 5 5 6 7 9 10 8 6 5 5 5 4 4 4 3 3 4 4 4 4 5 7 8 8 9 8 5 6 6 4 4 3 1 -0 -0 1 1 1 2 4 6 6 6 7 8 7 5 4 4 3 4 5 6 6 8 11 11 10 8 9 8 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 10 9 6 5 5 6 6 6 5 4 4 5 6 6 4 3 3 4 4 4 4 3 2 1 2 3 3 3 3 2 1 1 2 2 3 3 4 5 5 4 3 3 3 4 4 4 5 4 5 4 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 4 5 5 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 5 4 4 4 4 5 5 5 6 6 6 7 8 9 10 11 11 11 10 10 9 9 8 7 6 5 5 5 5 4 4 4 5 5 6 7 8 10 10 8 6 7 8 9 8 6 4 1 1 7 12 9 7 6 2 -1 -3 -3 -2 0 3 3 2 2 0 -2 -1 0 1 1 1 1 2 4 7 8 9 9 7 3 2 5 9 10 9 5 1 -0 -1 3 9 8 3 1 2 3 2 3 6 10 13 13 10 6 2 2 5 5 3 4 6 6 4 2 2 2 3 4 5 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 10 10 10 9 8 8 7 7 8 8 6 5 5 6 5 5 6 6 5 6 5 5 6 5 1 -3 -2 2 3 3 3 3 2 3 4 4 3 2 1 2 3 5 5 5 5 5 5 5 4 3 2 3 4 4 1 -2 -2 1 4 4 4 5 5 5 5 5 6 6 7 7 7 7 5 2 1 2 2 2 2 2 2 3 3 3 3 4 4 4 5 6 7 6 4 4 4 5 5 5 5 6 5 4 4 4 4 4 6 7 7 7 7 8 8 6 5 5 5 4 4 4 3 3 4 4 4 4 4 5 7 9 9 9 9 8 7 8 7 4 4 2 0 -0 -0 1 1 2 4 5 6 6 7 7 6 6 5 4 3 3 4 4 4 6 10 13 11 9 9 8 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 9 11 9 6 5 4 4 4 4 4 4 4 5 5 5 4 3 4 4 4 4 3 3 2 1 2 3 3 3 3 2 2 2 1 2 3 4 4 4 3 3 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 5 4 4 4 4 4 4 5 6 5 5 5 6 7 9 11 11 11 11 11 10 10 9 9 8 7 6 6 5 5 4 3 4 4 5 5 7 8 10 11 9 6 7 8 9 8 6 6 6 5 8 11 10 2 -4 -5 0 6 6 2 1 0 -1 -1 -0 1 0 -0 -1 2 5 6 5 6 10 16 17 10 4 3 2 2 5 7 7 5 0 -4 -3 -1 2 5 2 1 3 4 5 3 4 9 13 14 10 7 3 2 5 6 4 2 4 7 6 3 2 2 3 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 7 7 7 8 7 7 7 9 10 9 7 5 4 4 5 6 7 7 8 9 9 8 7 2 -1 0 3 3 3 3 3 3 3 3 3 4 3 2 1 1 3 4 4 5 5 5 6 5 4 3 3 4 5 4 -0 -6 -6 -1 3 4 5 5 5 5 5 5 6 6 6 6 8 7 5 0 -2 -1 1 2 1 1 1 2 1 2 2 3 4 3 4 5 5 4 4 4 3 4 5 6 6 6 6 6 6 6 7 8 8 8 7 6 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 7 6 5 5 5 7 9 8 6 5 3 0 0 1 1 2 3 4 5 5 6 6 6 6 6 6 5 4 3 3 4 5 5 7 8 8 10 11 9 7 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 6 10 11 9 6 4 3 3 3 3 3 4 5 5 5 5 4 4 4 5 4 3 3 2 2 2 2 3 3 3 3 3 1 1 1 3 4 5 5 4 3 2 2 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 2 2 3 3 3 3 3 4 4 4 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 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 9 11 12 11 11 11 10 10 9 8 8 8 7 6 6 5 4 3 4 5 5 6 7 8 11 12 10 7 7 8 8 7 6 6 8 8 5 5 5 -5 -7 -1 7 8 4 1 1 3 2 2 1 -1 1 0 -2 1 7 10 10 10 13 19 20 11 5 2 0 -0 3 4 3 1 -3 -5 -4 1 3 2 -0 1 3 4 5 5 5 10 14 13 9 4 1 2 6 6 2 1 5 8 5 3 3 3 3 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 5 4 4 3 4 4 5 5 7 8 9 8 7 6 6 6 6 8 8 7 8 10 10 9 5 1 2 3 3 3 4 3 3 3 3 3 4 4 4 1 1 2 3 2 2 4 5 6 6 5 4 4 4 6 7 5 -2 -8 -7 -0 4 4 5 5 6 6 6 5 5 5 5 6 8 8 4 -3 -6 -5 0 2 0 -0 1 1 1 1 1 2 2 1 2 3 4 4 4 4 4 5 6 6 6 7 8 8 8 9 8 7 6 6 6 5 4 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 3 3 4 6 7 8 7 5 3 1 2 3 2 2 3 3 4 4 5 6 7 7 6 6 5 5 4 4 4 5 5 5 5 5 8 9 9 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 4 7 9 10 8 5 3 2 1 2 2 3 4 5 5 5 5 5 5 5 5 4 3 3 3 2 2 2 3 3 4 3 2 2 2 2 4 6 6 5 4 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 2 2 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 5 5 6 8 11 13 12 11 11 10 9 8 7 7 7 7 7 6 5 5 4 5 6 7 7 8 9 11 11 10 7 7 7 8 6 5 6 7 7 1 -1 0 -3 3 9 9 5 -0 -1 4 11 7 3 1 0 4 6 2 1 7 13 14 14 14 13 11 8 6 4 1 -1 2 1 -2 -1 -0 -0 1 4 5 4 2 5 4 5 4 5 8 10 12 11 7 3 1 3 5 4 1 1 7 8 5 3 3 3 4 4 4 4 4 3 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 6 6 6 6 5 5 5 5 5 4 4 4 5 5 4 4 5 4 5 5 4 4 3 3 3 4 4 5 5 6 5 5 6 8 8 7 6 4 4 4 4 6 7 5 3 3 4 4 4 4 4 4 3 3 3 4 5 5 4 1 1 3 2 -2 -1 3 5 5 5 5 4 4 6 10 11 6 0 -4 -2 2 4 4 5 5 5 5 5 5 5 4 5 7 9 9 3 -6 -11 -6 1 0 -2 -1 1 1 1 2 1 1 1 1 2 4 5 5 4 5 6 7 7 7 8 9 9 8 7 6 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 5 6 6 7 7 6 4 3 3 3 2 2 4 4 4 4 6 6 6 6 7 6 5 5 5 5 4 4 5 5 4 5 7 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 4 6 8 8 7 6 5 3 2 3 3 3 4 5 6 6 6 5 5 5 4 4 4 3 3 2 2 2 3 3 4 3 2 2 3 4 5 6 6 4 4 3 3 3 3 3 4 4 3 4 4 4 3 4 4 3 4 4 4 4 4 4 3 3 3 3 4 3 2 2 2 2 2 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 6 6 8 10 12 13 12 11 9 8 7 6 6 6 6 6 7 6 5 5 5 7 8 9 10 10 10 9 8 7 6 7 7 5 4 5 5 5 3 3 2 3 7 7 2 4 -2 -1 11 20 8 1 -1 2 8 14 10 4 5 11 14 15 14 10 5 5 6 5 3 2 4 2 1 5 6 4 5 5 5 4 5 6 5 6 6 5 8 10 10 9 6 3 1 3 4 3 1 5 10 8 4 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 4 5 5 6 5 5 5 5 5 6 6 6 6 6 5 5 5 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 4 2 0 1 4 7 7 5 3 3 2 1 2 3 3 3 3 4 5 4 4 4 4 4 4 4 4 4 6 8 5 1 3 5 -1 -6 -3 1 4 4 5 4 4 6 10 13 10 5 3 1 1 2 3 4 4 4 4 4 4 4 3 2 4 8 10 10 4 -8 -11 -4 0 -1 -0 2 2 3 3 2 2 2 3 2 2 5 6 4 3 7 9 9 9 8 8 9 8 6 5 6 7 7 6 7 8 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 5 5 5 6 7 7 5 4 4 2 2 4 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 5 7 7 7 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 3 3 3 4 5 6 7 8 8 6 5 5 4 4 3 4 5 6 6 5 5 5 5 5 5 5 4 2 1 1 1 2 3 4 3 3 3 3 4 5 5 5 4 4 3 3 4 4 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 2 2 1 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 8 10 12 13 13 12 9 7 5 4 4 5 6 6 6 6 5 4 5 7 9 11 11 12 11 9 7 6 6 7 6 3 4 5 4 4 6 10 9 7 -1 1 2 1 -4 1 12 19 7 1 -0 4 9 12 9 4 2 7 12 13 12 8 5 4 4 3 3 5 7 6 6 8 6 3 5 5 4 5 7 7 6 6 7 7 8 8 8 8 5 2 1 3 5 3 3 8 11 7 3 3 3 4 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 6 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 4 1 -0 -0 1 4 6 6 6 5 4 3 3 3 2 2 3 4 5 5 5 4 4 4 4 4 4 4 5 9 10 5 5 10 6 -4 -8 -5 1 3 3 3 4 5 8 11 11 5 3 3 3 2 1 2 2 2 2 1 2 2 1 -0 0 3 8 13 14 4 -6 -4 3 3 2 3 3 3 3 3 2 2 2 3 2 3 4 3 2 3 6 7 7 6 6 5 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 7 6 4 4 4 4 5 5 6 6 5 3 3 6 8 7 6 7 7 6 6 6 6 6 6 5 5 4 5 5 5 5 5 5 5 5 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 3 3 3 3 3 4 5 7 7 8 7 6 5 5 4 4 5 6 7 7 6 4 4 5 5 6 5 4 3 2 1 2 3 3 3 3 3 3 3 4 4 5 4 4 4 4 3 3 4 4 4 4 4 3 3 4 4 5 5 5 4 4 4 4 3 3 3 4 4 4 2 2 1 1 2 2 2 2 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 4 4 4 4 5 4 4 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 9 11 12 13 13 12 10 7 5 4 4 4 5 6 6 5 4 4 5 7 9 11 13 13 12 10 7 6 7 7 6 3 4 5 4 5 7 11 14 8 -4 2 8 1 -4 -0 7 13 9 8 8 9 9 4 2 1 -0 4 8 11 10 7 4 4 2 2 3 6 8 7 4 2 -0 2 5 5 4 6 7 7 5 5 8 8 7 6 7 7 5 2 2 4 5 3 4 10 10 5 2 3 3 4 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 4 3 1 1 1 2 3 5 5 6 7 8 7 4 2 2 3 5 5 6 5 4 4 4 3 4 4 4 4 6 9 8 8 14 13 5 -3 -6 -3 0 0 0 1 3 4 6 8 5 2 4 4 3 1 0 0 0 -0 -1 -1 0 1 -0 -2 0 5 10 15 13 6 3 5 5 3 4 5 4 4 3 2 3 4 3 2 2 1 3 3 0 1 3 4 5 4 3 4 5 5 5 5 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 9 8 7 6 4 5 4 4 5 6 6 5 3 6 9 9 7 7 7 7 7 7 7 7 7 7 6 5 4 5 6 5 5 4 4 4 5 7 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 nan nan nan
nan nan nan nan 3 3 3 3 3 3 3 3 4 5 6 7 8 7 6 5 5 4 4 5 6 6 6 5 4 4 4 6 6 6 5 3 2 2 2 3 3 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 3 4 4 4 5 5 5 4 4 4 4 3 3 3 4 4 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 3 3 3 3 4 5 4 4 4 5 5 4 5 4 4 4 5 4 4 5 5 5 5 4 4 4 4 4 5 5 5 6 6 5 5 5 6 6 6 6 7 9 12 14 13 14 13 10 7 5 4 3 3 4 4 5 5 5 5 6 8 10 12 13 14 13 11 8 7 7 7 5 4 5 5 5 7 9 12 15 7 -1 0 8 12 8 4 5 6 10 14 15 13 8 -2 -2 -0 -1 1 5 8 8 5 4 3 3 2 2 3 5 4 1 -1 -2 1 5 4 4 5 7 7 4 5 8 8 6 6 7 6 5 3 3 5 4 2 6 10 9 4 2 2 3 4 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 5 4 4 4 4 5 6 6 5 5 5 6 6 6 5 4 3 2 2 2 2 3 2 4 6 10 11 8 4 3 3 5 6 6 6 5 5 4 4 4 3 3 3 4 5 6 8 14 17 11 4 -1 -3 -1 -1 -2 -3 -1 2 3 4 3 3 3 4 5 4 2 1 1 1 0 0 1 2 2 0 1 4 7 11 12 9 5 3 3 3 4 5 4 4 4 5 5 6 4 3 2 2 4 3 2 2 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 6 6 6 7 7 7 8 7 7 8 8 8 7 6 6 6 5 5 6 6 4 4 5 7 7 7 7 7 7 8 8 7 8 8 8 7 6 5 4 6 5 4 3 3 3 4 6 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 2 3 3 3 3 3 3 3 4 5 7 7 7 6 4 4 4 5 5 6 6 7 5 4 4 4 5 6 6 5 4 3 3 3 3 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 3 3 3 3 4 4 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 3 3 3 3 4 5 5 4 4 4 5 5 5 5 4 4 4 5 4 4 5 4 5 4 4 4 4 4 4 5 5 6 6 5 5 5 6 6 7 6 6 8 11 15 16 14 14 13 11 7 5 3 2 2 3 3 3 5 6 6 8 10 11 12 13 14 14 12 9 7 7 7 5 4 4 6 8 10 12 14 13 5 -0 -3 2 15 17 12 3 -1 6 11 11 10 5 -5 -6 0 2 1 2 5 6 5 3 2 2 2 1 0 3 4 3 1 1 2 3 2 3 4 6 5 4 6 8 7 6 8 7 5 5 4 3 3 2 2 7 11 7 4 2 2 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 5 5 4 4 3 2 2 1 2 2 4 8 10 10 8 6 5 6 6 6 6 5 5 4 4 4 4 3 3 3 3 4 5 12 18 15 7 3 -0 0 1 0 -3 -4 -2 -0 2 2 2 3 4 5 6 5 4 4 3 3 3 3 4 4 3 4 5 5 6 7 6 4 3 3 3 4 4 3 4 5 6 5 4 5 7 6 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 6 6 7 7 6 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 5 4 5 5 5 6 6 6 6 7 8 8 8 8 8 8 7 6 5 5 5 4 3 3 3 3 5 5 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 2 2 2 2 3 3 3 3 3 4 6 7 6 6 5 4 4 4 4 5 7 7 6 5 5 4 4 5 6 6 6 5 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 5 4 4 4 3 3 4 4 3 3 3 4 4 4 4 3 3 2 2 2 3 3 3 3 3 4 3 4 4 3 4 4 4 4 4 5 5 5 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 6 7 7 6 6 9 13 17 17 14 13 13 11 7 5 3 1 0 0 1 2 4 5 6 9 11 12 13 14 15 15 13 10 8 7 7 6 5 4 5 8 12 14 13 9 2 -1 -4 -1 7 20 17 4 -1 1 0 1 2 3 2 3 8 6 2 2 3 4 3 3 3 3 3 1 1 3 5 4 2 3 3 2 2 3 3 4 5 7 10 8 5 7 9 7 5 5 4 3 3 1 3 8 11 7 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 4 5 6 5 6 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 3 2 2 2 2 3 4 6 7 8 9 9 7 5 4 4 5 5 5 5 5 5 4 4 3 3 3 4 8 16 19 12 6 3 3 4 4 1 -2 -3 -3 -1 2 3 3 3 6 7 6 6 6 5 4 4 4 3 4 5 6 5 5 5 5 6 6 4 4 5 3 2 1 3 6 4 2 3 5 7 8 6 7 7 5 5 6 6 5 4 4 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 6 7 9 9 9 8 8 7 6 4 4 4 4 5 5 5 5 6 6 7 8 8 8 8 7 6 6 6 5 4 3 4 4 3 4 4 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 3 2 2 3 2 2 3 2 3 3 4 4 5 6 6 5 4 4 4 4 5 6 6 7 7 6 4 3 3 4 5 6 6 6 4 3 2 2 2 2 1 1 2 3 3 3 3 3 3 3 4 3 2 2 3 3 4 4 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 4 4 5 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 5 6 5 5 7 7 6 6 8 12 17 19 17 14 13 13 9 6 4 2 -0 -2 -2 -1 1 3 4 6 9 11 13 15 16 16 15 13 9 8 8 7 6 5 5 5 7 13 14 10 7 3 1 0 -2 2 19 18 8 3 -0 -6 -5 -4 3 13 17 16 10 3 2 2 2 2 3 4 5 5 4 3 3 4 3 2 3 3 3 3 4 3 3 6 11 13 8 5 7 8 6 4 5 4 3 3 1 3 9 12 7 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 5 4 3 2 2 2 3 3 4 6 8 10 9 6 4 3 4 4 4 4 5 5 5 5 5 4 4 4 5 10 16 17 11 7 6 5 6 4 1 -0 -2 -3 0 3 3 3 4 6 4 5 8 7 4 3 3 3 4 7 7 5 5 6 7 7 7 6 4 3 2 1 2 4 5 3 4 4 4 5 6 7 9 9 7 5 6 6 6 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 5 5 5 6 6 6 7 7 8 9 10 9 9 9 9 8 6 5 4 4 5 5 4 5 5 4 5 6 7 6 6 7 7 6 6 7 7 6 5 5 4 3 3 4 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 2 3 3 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 4 4 4 4 5 6 7 7 7 6 4 3 3 4 4 5 6 5 4 3 3 2 2 1 1 1 2 3 3 3 3 4 4 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 2 2 3 3 3 3 4 5 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 8 13 20 23 22 17 13 12 11 8 5 3 2 -1 -3 -3 -1 1 3 4 7 9 11 13 16 18 17 15 12 9 8 7 5 5 6 6 4 8 16 14 9 7 5 9 11 5 1 7 7 4 1 1 -2 -3 -1 4 17 19 14 8 4 3 2 1 2 3 3 4 5 4 2 2 4 5 3 4 5 5 5 3 3 2 4 9 11 9 7 8 8 5 4 4 3 3 2 -0 1 9 11 6 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 6 5 5 3 2 3 2 2 3 4 6 8 9 7 4 3 3 3 3 4 5 5 5 5 5 5 5 5 4 5 8 15 16 11 8 8 7 7 4 2 1 -1 0 4 4 3 3 3 2 5 7 6 3 2 3 3 4 7 8 7 6 6 7 7 7 6 4 2 3 4 5 5 5 4 4 3 4 4 4 5 7 9 9 7 5 4 4 5 5 5 6 6 6 7 7 7 6 5 5 6 5 5 5 5 5 6 6 6 6 5 3 3 5 6 6 6 7 8 8 8 8 8 8 9 8 7 5 5 5 5 5 5 5 5 4 3 5 6 5 5 6 6 6 7 7 7 7 6 5 5 4 4 5 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 4 5 5 5 4 3 3 4 5 6 6 7 7 7 6 5 4 4 3 3 5 5 5 5 4 3 3 2 2 2 1 2 3 2 3 3 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 3 4 4 4 4 4 5 4 4 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 5 6 5 5 6 7 7 8 13 24 31 29 23 16 11 9 7 6 4 4 2 -0 -2 -4 -1 3 4 6 8 10 11 14 17 19 17 14 10 8 7 5 4 5 6 5 4 9 15 12 8 6 6 13 17 8 -0 0 1 -3 -5 -1 4 6 6 8 14 13 9 7 5 3 2 2 4 4 4 4 4 3 1 2 5 7 5 4 7 8 6 3 3 2 2 5 8 9 9 9 7 4 5 5 3 3 2 1 3 9 10 7 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 2 1 2 4 6 6 6 6 5 5 6 5 6 6 6 7 7 6 7 7 6 6 5 4 3 2 2 3 3 4 5 7 7 5 3 2 2 2 4 4 4 5 4 5 5 5 5 5 4 4 7 12 13 11 12 12 10 7 4 2 2 4 7 7 5 5 3 3 4 5 4 3 3 3 3 4 6 8 8 7 6 7 6 6 6 5 5 6 7 6 6 5 4 4 3 4 5 4 4 5 7 10 10 8 6 4 3 4 5 6 6 6 7 8 8 7 6 6 6 6 5 5 4 4 4 5 5 5 4 5 7 6 5 6 6 6 7 6 6 7 7 8 8 8 6 5 5 6 6 5 5 6 5 5 4 4 5 6 6 6 5 5 4 4 5 5 5 5 6 6 6 7 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 2 2 3 3 3 2 2 1 1 2 2 2 3 3 4 4 5 5 4 3 3 4 4 5 5 6 7 7 7 7 6 5 4 3 3 4 4 5 5 5 4 4 3 2 2 2 2 2 3 3 3 4 4 4 4 3 3 3 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 4 4 4 5 4 4 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 5 6 6 6 6 6 6 6 8 8 11 25 41 35 22 18 14 7 3 2 4 5 5 3 1 -2 -2 0 4 6 8 11 11 12 14 18 20 16 11 8 7 5 3 3 4 4 2 5 8 9 6 6 6 4 5 7 3 -1 4 8 -2 -8 -4 6 13 12 10 11 9 9 10 7 4 3 4 5 5 4 4 4 2 1 3 6 6 4 4 7 8 6 4 5 4 3 4 8 11 12 8 6 5 5 5 5 3 2 3 5 8 9 7 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 2 2 4 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 4 3 3 3 3 2 3 5 6 6 4 2 2 3 4 4 4 4 4 4 4 4 5 6 5 4 4 5 7 8 11 13 13 10 8 6 4 5 9 9 8 7 6 5 6 5 4 5 5 4 5 5 6 6 7 7 7 5 5 6 6 7 8 8 8 7 7 6 5 4 4 4 5 5 4 4 5 7 9 11 9 7 5 4 5 5 7 7 7 8 8 8 7 6 6 7 6 6 6 4 4 5 5 4 5 8 9 7 6 5 6 6 7 7 7 8 8 8 7 7 6 5 5 6 6 6 6 6 7 7 7 5 6 6 5 3 2 1 2 2 2 4 4 5 6 6 6 7 7 6 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 3 2 3 3 2 2 2 1 1 1 1 2 2 3 3 4 4 4 4 4 3 3 3 4 4 4 6 6 7 8 7 7 6 4 3 3 3 5 6 6 7 6 4 2 2 2 2 2 2 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 7 8 10 16 35 40 21 7 8 9 2 -5 -4 2 5 6 5 1 -2 -1 2 5 7 9 12 12 13 16 19 18 13 9 6 5 3 2 2 2 2 4 8 9 4 3 8 7 3 -0 -2 -2 -0 6 10 3 -3 -1 6 12 10 8 9 10 11 12 7 4 5 5 5 4 3 4 4 2 1 3 6 6 3 4 7 7 4 5 8 7 7 7 8 17 17 9 5 4 4 4 5 4 3 5 6 6 8 7 5 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 6 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 6 5 4 3 3 3 3 4 5 6 5 5 5 6 6 5 4 3 3 3 4 4 5 6 6 5 5 4 4 5 6 8 11 10 10 9 6 6 11 13 11 8 8 7 7 5 4 6 6 5 8 7 6 5 4 6 7 5 4 5 6 8 9 9 9 8 8 7 6 5 5 5 5 5 4 4 4 5 7 9 11 11 9 8 6 6 7 7 6 7 7 7 7 6 5 6 8 9 9 7 6 6 6 7 7 8 7 6 6 6 6 6 7 10 10 9 9 9 8 8 7 6 6 6 7 7 7 8 8 9 9 8 7 6 4 3 2 2 1 1 2 2 2 3 4 4 4 5 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 12 9 6 4 3 2 3 3 2 2 1 1 1 2 2 2 3 3 4 4 4 4 4 3 3 3 3 3 4 5 6 7 7 8 7 6 4 3 3 4 5 7 8 6 4 3 2 2 2 2 2 2 3 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 5 4 4 4 4 5 5 5 5 5 5 6 5 5 4 4 3 4 5 6 6 7 7 6 6 6 8 9 12 19 30 24 9 1 4 9 1 -10 -9 1 7 8 6 2 0 2 4 6 7 9 11 12 14 17 18 15 10 6 4 4 4 2 1 1 2 6 9 10 6 7 11 10 5 -0 -2 2 5 8 8 6 4 4 5 7 8 9 10 11 12 12 8 5 6 7 7 5 3 4 3 4 2 3 5 5 3 6 8 5 3 6 8 8 10 8 8 20 21 11 5 3 2 4 7 9 6 5 6 6 7 7 6 4 4 4 4 4 3 3 3 4 5 4 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 6 5 5 5 5 5 4 4 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 4 4 5 5 5 5 6 6 6 6 6 5 5 5 6 7 7 8 8 8 8 8 7 7 6 5 3 3 4 5 5 5 4 5 8 11 11 7 4 4 4 3 3 3 5 6 6 5 5 5 5 5 4 4 5 6 6 7 6 6 9 14 13 9 9 8 6 4 4 7 7 7 9 8 6 6 3 4 5 4 4 4 5 7 9 9 9 9 8 8 7 7 7 7 6 5 4 2 3 5 5 6 8 9 10 11 10 9 8 7 7 7 7 7 7 6 5 6 7 9 12 10 7 7 7 8 8 8 8 7 7 7 7 8 9 10 11 11 10 9 9 8 8 7 7 7 7 7 7 8 9 10 9 7 6 6 5 5 5 5 3 3 3 2 1 2 3 3 2 2 3 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 13 10 8 6 5 3 3 3 2 2 1 1 2 2 2 2 3 3 3 4 4 4 4 3 4 3 3 3 3 3 4 6 7 7 8 7 6 5 4 4 4 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 5 6 5 4 5 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 4 4 5 5 6 6 7 6 7 7 7 8 11 15 20 21 14 9 3 2 9 4 -8 -8 2 7 9 8 4 3 4 6 6 7 9 10 12 14 16 15 12 8 4 3 4 5 3 0 -2 0 5 8 10 9 10 11 8 4 1 4 8 8 6 5 5 6 5 5 5 8 13 14 11 10 9 6 6 7 7 7 6 3 3 4 5 5 5 5 3 3 5 7 4 2 6 7 6 9 8 10 18 19 11 4 -1 -1 3 9 15 10 5 5 6 8 8 5 4 4 4 4 3 3 3 3 4 4 4 3 2 2 3 3 3 3 3 4 5 5 6 6 6 7 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 4 4 5 5 5 6 6 6 5 5 5 6 6 6 7 7 8 7 8 8 7 7 5 4 4 4 5 5 4 3 3 6 14 16 10 5 4 3 3 2 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 8 11 9 9 10 6 5 5 7 6 6 8 7 6 4 3 3 4 4 4 4 5 6 8 8 9 8 8 7 8 8 9 8 7 5 3 2 2 3 4 4 5 6 7 9 10 11 9 7 7 8 8 7 6 6 6 6 7 9 11 10 8 7 7 6 6 7 7 7 6 6 6 7 9 9 10 9 8 9 9 9 9 8 8 6 5 5 5 6 6 6 6 5 5 5 5 5 6 6 5 5 6 5 3 3 3 2 2 2 3 3 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 9 4 5 7 7 5 4 3 3 2 2 1 2 2 2 3 3 3 3 4 4 4 4 4 4 4 3 3 2 2 4 5 6 7 8 8 8 7 5 4 4 5 4 4 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 5 5 4 4 4 4 4 5 6 6 6 6 7 7 7 7 10 13 19 22 17 9 8 3 -3 3 1 -5 -2 3 6 8 8 7 6 6 7 7 7 8 9 11 13 14 12 8 4 2 2 4 5 4 1 -1 2 3 7 8 8 13 9 2 2 5 8 7 5 2 3 3 3 5 6 6 8 13 14 10 7 6 5 5 6 6 5 4 2 3 5 6 7 6 7 5 2 5 6 3 2 5 7 6 8 10 14 17 16 10 3 -2 -3 2 12 19 14 7 7 7 9 8 5 4 4 4 4 3 4 3 3 4 4 4 3 2 2 3 3 3 3 3 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 4 4 4 4 4 5 6 7 7 6 5 5 5 6 6 6 5 5 6 6 7 7 7 7 6 5 5 5 4 4 4 3 2 5 14 18 12 6 4 3 2 2 3 5 5 5 5 4 4 5 5 5 4 4 4 3 3 4 5 5 6 7 8 9 9 8 7 7 6 6 6 6 6 6 4 2 2 3 4 4 4 5 6 7 8 8 8 7 8 8 9 10 9 7 6 4 2 1 1 2 4 4 4 4 5 7 7 7 7 6 7 9 8 7 6 6 7 8 8 9 9 8 7 7 6 5 4 5 5 5 4 4 4 5 7 8 8 8 8 8 8 8 8 7 6 4 4 4 5 5 4 4 5 4 4 5 5 5 5 5 6 6 5 5 5 4 3 3 2 3 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 1 2 5 7 7 5 4 3 3 2 2 2 2 2 2 2 3 3 4 4 3 3 3 4 4 4 4 3 3 4 4 5 6 6 7 8 8 6 5 4 4 4 4 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 3 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 6 7 7 9 13 19 23 21 14 6 5 -3 -10 -4 -2 -3 1 3 5 7 8 8 8 8 8 7 7 8 9 10 13 12 9 4 0 1 3 3 4 4 4 3 5 7 10 4 6 14 7 -1 2 9 8 6 7 4 5 4 4 7 9 9 10 12 11 8 6 5 4 4 4 5 4 2 1 1 4 7 3 -1 8 9 1 4 6 2 2 4 7 9 11 12 12 17 19 12 4 -2 -5 3 15 21 16 9 9 9 9 7 5 5 3 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 5 4 5 6 6 5 4 4 4 4 4 6 8 8 6 5 5 5 6 7 7 6 4 5 6 6 6 6 6 6 6 6 5 4 4 3 2 2 6 14 17 12 6 4 2 1 1 3 5 5 6 5 5 4 4 5 5 5 4 4 4 3 3 4 5 6 7 7 8 9 9 9 8 7 7 6 5 6 6 5 3 2 3 4 5 5 4 5 6 7 7 8 7 8 8 9 9 9 8 7 5 4 2 1 1 2 3 4 3 3 3 4 5 4 4 5 7 8 7 6 5 5 7 8 8 8 7 6 7 7 7 5 4 3 4 4 3 3 3 4 4 5 5 6 6 6 7 7 7 6 5 4 5 5 5 6 5 5 4 5 6 6 5 4 5 5 6 6 6 6 5 4 4 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 10 5 1 2 5 7 7 6 5 4 3 2 2 2 2 2 2 3 3 4 4 3 3 3 3 4 4 4 4 3 4 4 5 5 5 5 7 7 7 6 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 6 6 5 5 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 6 7 6 6 6 6 7 7 9 14 20 24 22 16 9 4 -1 -8 -10 -6 -3 -1 1 4 5 7 8 8 8 9 8 7 8 9 10 11 12 11 7 1 -1 1 3 2 2 3 7 11 11 11 9 -0 5 10 4 -0 6 9 9 12 12 9 7 4 5 8 10 11 12 12 9 7 7 5 4 3 3 3 2 1 2 3 6 7 -6 -11 10 16 3 3 4 1 2 5 9 12 12 9 9 19 26 17 4 -4 -6 3 16 21 14 10 12 11 8 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 4 4 5 8 8 7 4 4 5 6 7 7 7 5 4 5 6 7 7 7 7 6 5 5 5 3 3 3 4 9 15 15 11 7 4 2 1 2 4 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 7 8 8 9 9 9 8 7 6 6 6 6 6 4 3 3 4 6 5 4 4 5 6 7 7 7 7 8 8 9 9 8 8 7 7 5 3 1 1 1 2 2 3 3 3 3 2 2 3 4 6 6 5 4 4 5 5 6 6 5 4 5 6 7 8 6 4 4 4 4 3 3 3 3 3 3 4 5 6 7 7 7 7 6 6 5 6 6 6 6 5 4 5 6 6 6 5 6 6 7 6 6 6 6 5 5 5 5 5 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 15 15 11 7 5 6 8 9 8 7 6 4 3 2 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 5 6 6 6 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 4 4 5 5 4 5 5 5 5 5 5 4 4 3 3 3 4 4 5 4 4 5 5 5 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 4 5 5 5 5 4 5 5 5 4 4 4 4 4 5 5 5 6 7 7 7 6 6 6 7 10 15 24 28 24 13 6 3 2 -4 -9 -9 -6 -3 -0 3 5 6 6 8 9 9 9 8 8 9 10 12 13 13 10 6 3 2 3 3 1 2 5 7 9 8 10 5 -2 2 6 2 2 7 8 9 18 19 12 5 2 6 8 8 10 13 13 9 7 7 5 4 3 3 2 2 2 3 6 7 3 -10 -8 15 21 7 3 3 2 3 6 9 11 10 8 13 27 32 20 6 -4 -5 3 14 18 13 11 14 12 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 5 6 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 4 4 5 7 8 6 4 3 4 5 5 5 5 6 5 4 5 6 7 7 7 6 5 5 5 5 5 6 8 11 14 13 11 7 4 2 1 3 5 5 5 4 4 4 5 5 5 5 5 6 5 5 5 4 4 4 4 5 6 8 8 8 9 9 9 8 7 7 6 6 5 4 4 4 5 5 5 5 5 5 5 6 6 5 5 6 7 8 9 8 7 8 10 10 8 3 -0 0 1 2 2 2 2 2 2 3 2 3 4 5 5 5 4 3 3 3 3 2 2 3 4 4 7 8 6 4 4 4 4 3 3 3 3 3 3 4 5 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 6 5 5 5 7 8 6 5 4 4 4 5 5 5 5 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 13 15 15 13 11 10 10 9 8 7 6 6 5 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 3 3 4 5 5 6 6 5 5 5 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 2 2 2 3 4 4 4 3 4 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 7 7 7 6 6 7 9 15 26 34 30 15 1 1 5 7 -1 -8 -8 -4 -1 2 5 7 6 6 8 11 11 11 9 9 9 11 13 15 13 8 4 4 5 5 4 3 5 7 6 2 5 11 9 3 2 3 2 1 5 8 9 20 22 12 3 5 8 7 6 8 11 12 8 5 4 4 4 4 3 2 2 2 2 6 6 -1 -6 3 20 19 8 2 1 1 2 3 4 8 9 10 19 31 31 18 6 -2 -2 5 13 16 12 10 14 12 6 5 4 4 4 3 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 6 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 3 4 4 5 4 5 5 5 5 6 6 6 6 5 4 4 5 7 6 5 5 5 5 4 4 5 6 5 4 3 4 5 6 6 5 5 5 5 6 7 8 9 11 11 11 10 9 6 3 3 4 5 5 4 3 3 4 5 5 6 5 5 5 5 5 5 5 5 5 4 5 5 6 7 8 8 8 9 8 9 7 6 5 5 5 4 4 4 4 3 5 6 5 5 5 6 5 4 5 5 6 7 7 6 7 10 15 13 4 0 1 1 1 1 1 1 1 2 3 3 2 2 3 5 6 4 3 3 2 1 1 0 1 3 4 5 6 5 4 5 4 3 4 3 3 3 3 3 3 4 5 5 6 5 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 6 7 7 6 4 3 4 4 5 5 6 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 9 11 13 14 13 11 9 7 6 5 5 4 5 6 7 8 7 6 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 5 5 5 4 3 4 4 5 5 5 5 5 4 3 4 4 5 4 3 4 3 2 2 2 2 2 3 3 3 3 2 2 1 2 3 3 2 3 3 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 7 7 7 7 7 8 13 22 31 33 24 8 -5 -1 7 3 -4 -7 -4 -1 3 5 6 8 6 6 9 13 14 12 10 9 9 11 14 13 8 2 1 4 4 4 4 6 7 7 5 5 8 12 15 11 4 2 1 -2 0 8 14 19 18 9 2 5 8 8 7 6 9 9 3 -1 2 6 6 4 2 -0 0 1 1 4 4 -1 0 11 19 12 6 2 -2 -4 -0 0 -0 6 9 9 19 30 27 15 5 0 1 6 12 14 11 9 12 11 6 5 4 4 4 3 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 4 4 5 6 6 6 6 6 5 5 5 6 6 6 5 4 3 3 4 4 4 4 4 4 4 5 7 8 8 8 9 10 11 8 5 4 5 5 4 2 1 2 4 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 9 8 7 6 5 4 4 3 3 3 4 3 4 5 5 6 6 6 5 4 3 4 4 4 4 4 5 9 15 12 5 4 4 3 2 2 1 0 1 2 3 3 2 2 2 3 5 5 5 4 3 3 2 1 1 3 6 7 6 4 4 4 3 2 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 5 5 5 4 4 3 3 3 3 4 4 4 4 6 7 7 5 4 4 4 4 5 5 5 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 7 7 8 9 9 8 6 5 4 3 3 3 4 5 6 9 12 11 7 4 2 2 3 3 3 3 4 4 4 4 4 3 2 3 4 5 5 4 4 3 4 4 5 6 6 5 3 2 2 3 4 4 4 4 3 2 2 2 2 2 3 3 3 3 2 2 1 2 2 1 1 2 2 3 4 4 5 5 5 4 4 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 6 6 6 5 5 4 5 5 5 5 5 6 6 7 8 7 8 9 13 18 23 24 23 20 10 -4 -5 -5 -14 -11 -4 0 3 5 6 7 8 7 7 9 14 16 14 12 9 9 11 12 8 2 -1 -1 0 1 1 4 9 7 4 6 7 8 9 12 10 5 1 -0 -4 0 11 16 17 12 4 0 3 7 7 5 5 6 5 -3 -5 7 13 9 4 0 -2 -3 -1 1 4 4 2 5 13 14 8 6 4 -5 -8 0 6 4 6 8 9 18 27 23 13 5 2 2 7 12 12 10 9 10 9 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 6 5 5 5 5 4 4 4 5 6 6 6 6 6 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 9 12 12 8 5 5 4 3 2 1 2 4 6 6 5 4 4 5 5 5 6 6 6 5 5 5 5 5 6 6 7 7 7 8 7 6 5 3 3 3 3 3 3 4 4 4 5 5 7 7 7 5 4 3 3 4 5 4 3 5 10 12 8 5 7 8 6 5 3 2 2 1 1 3 3 3 2 2 3 4 4 5 6 6 5 5 4 3 5 6 8 8 7 6 5 4 3 3 3 3 3 4 4 4 3 3 4 4 3 3 3 3 3 3 4 5 4 3 3 3 2 2 3 3 4 5 6 6 5 5 5 5 4 3 4 4 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 6 5 5 4 3 3 1 1 2 2 3 8 17 19 12 6 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 5 6 6 6 5 3 2 3 3 3 3 4 3 2 2 2 2 3 3 3 3 3 3 2 2 1 1 1 1 1 2 2 3 4 4 5 5 5 5 4 4 3 3 3 4 4 3 3 3 3 4 4 4 4 5 5 4 4 4 5 5 5 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 7 9 9 9 11 13 16 16 16 13 14 19 14 -1 -8 -10 -13 -7 1 4 5 6 7 8 8 8 7 9 14 17 17 14 11 9 9 8 3 -0 -3 -5 -3 1 1 2 7 6 3 3 2 9 13 9 4 5 4 1 -0 5 13 16 13 8 2 1 5 8 6 4 3 5 4 -4 -4 14 19 11 4 -1 -3 -2 1 3 2 3 5 7 8 6 6 9 7 -2 -6 4 13 11 7 6 11 21 24 18 11 6 2 2 6 11 12 9 8 10 8 6 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 6 6 5 5 5 5 5 5 4 4 4 4 4 3 3 5 8 10 10 6 4 3 2 1 2 2 4 5 6 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 6 6 7 6 5 4 4 3 2 3 3 3 4 5 5 5 5 5 7 8 7 5 4 3 3 5 6 5 4 6 10 9 4 3 6 8 8 8 6 5 3 2 2 3 3 3 3 3 4 4 2 3 5 5 6 7 7 6 6 7 8 9 9 8 7 6 6 5 4 4 4 5 4 4 4 4 4 4 4 3 3 2 2 2 3 3 3 3 3 3 2 2 3 3 3 4 4 5 5 6 5 5 5 4 3 4 4 5 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 4 4 4 3 3 2 1 0 0 1 1 0 8 23 28 18 8 5 3 3 2 2 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 6 7 6 5 4 3 3 3 4 4 3 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 3 4 4 4 5 5 5 5 4 4 3 3 3 4 4 3 3 3 4 4 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 6 5 5 6 6 6 9 11 10 11 14 14 13 11 9 7 14 22 15 2 -4 -2 1 3 6 6 6 7 8 8 8 7 7 9 13 18 19 17 13 9 7 4 1 -1 -4 -6 -1 3 4 2 3 4 5 4 2 9 12 7 3 10 10 5 4 7 11 12 9 5 3 6 9 9 6 4 2 5 8 -2 0 16 19 10 4 -0 -1 2 6 6 4 3 5 6 4 2 5 11 9 3 2 9 17 14 8 8 14 21 20 14 8 4 2 2 6 10 11 9 8 10 8 6 6 6 5 4 4 4 4 5 5 4 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 5 5 6 5 6 6 6 6 6 6 6 5 4 4 5 5 6 5 5 5 5 6 6 6 6 6 6 6 7 7 6 6 6 5 6 6 6 5 5 5 5 4 4 3 3 3 5 5 4 2 1 0 1 1 2 3 3 4 4 4 4 5 6 6 6 6 6 5 5 5 5 6 5 5 5 5 6 5 3 2 3 3 3 3 4 5 5 6 7 7 6 7 7 8 8 6 5 4 3 6 7 6 5 7 9 7 3 1 5 7 9 9 9 7 5 4 4 4 3 4 4 4 4 3 2 2 2 3 4 6 6 6 5 7 8 9 8 7 8 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 4 3 2 1 1 1 2 2 3 3 2 2 2 2 3 3 4 4 5 5 5 5 6 5 5 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 4 3 3 3 1 -0 -1 -1 -1 -0 -0 1 10 25 30 21 11 7 5 3 2 3 3 3 3 3 3 4 4 5 4 4 3 3 4 4 4 4 4 4 5 5 6 7 7 6 5 3 3 5 5 4 3 2 2 1 1 1 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 3 3 3 3 4 4 4 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 10 13 11 11 11 10 9 9 10 13 23 24 13 5 4 5 7 9 9 8 7 8 8 8 7 6 6 8 12 18 20 18 13 9 7 4 3 2 -1 1 7 7 5 1 -0 2 7 10 12 13 8 4 6 13 11 8 9 8 7 7 5 2 4 8 10 9 7 3 3 7 11 3 4 15 16 8 3 1 2 5 6 5 6 7 4 2 3 4 6 9 6 4 6 9 14 13 10 13 15 15 10 7 5 2 2 4 7 9 9 8 8 8 7 6 6 6 5 5 4 4 4 5 5 4 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 5 6 6 6 6 6 6 5 4 4 4 4 3 1 0 -1 -0 -2 -2 -2 -1 0 0 1 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 6 5 4 5 4 3 2 2 2 3 4 5 6 7 7 8 7 7 7 7 7 7 8 7 6 4 4 6 7 6 5 6 8 7 3 2 4 6 9 10 10 9 6 5 5 5 5 5 5 4 4 3 2 2 2 2 3 3 3 5 5 5 6 7 6 6 6 7 7 6 6 5 5 4 4 5 5 6 6 5 5 5 4 4 4 2 2 1 1 1 1 2 2 2 1 2 2 2 3 3 4 5 5 5 5 6 6 6 5 5 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 6 5 4 4 4 4 5 3 0 -1 -0 0 0 -0 2 8 17 22 18 12 9 7 6 5 5 4 3 3 3 3 4 4 5 4 4 4 3 3 4 4 4 4 4 4 4 5 6 8 8 7 4 4 6 7 6 4 2 2 1 1 1 2 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 3 4 4 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 6 6 8 12 14 12 9 8 7 8 10 13 21 27 17 5 6 9 9 9 10 9 8 7 7 7 8 7 6 6 8 12 17 18 15 12 9 10 8 7 5 3 6 10 9 5 0 -0 5 9 10 14 17 13 5 8 8 6 12 14 9 6 4 2 3 5 8 8 7 6 5 5 10 13 8 8 15 15 6 -0 1 5 5 2 1 7 9 3 2 8 8 5 5 4 2 5 3 5 10 16 17 14 6 -1 1 3 1 4 9 9 9 9 7 6 7 7 5 5 6 6 5 4 4 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 6 6 6 6 7 6 6 6 7 6 6 5 5 5 6 6 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 2 0 -1 -1 -2 -3 -3 -2 -1 0 1 2 1 1 2 4 4 3 3 4 4 5 5 5 5 5 5 4 4 4 3 2 1 2 2 3 4 6 7 8 9 9 8 7 7 7 6 7 8 8 7 5 4 5 6 5 5 5 6 5 4 3 5 7 8 9 10 10 8 7 6 7 7 7 7 6 5 5 4 3 2 2 1 2 3 3 4 4 3 4 4 5 5 5 5 4 4 4 3 3 2 3 4 6 6 6 5 4 4 4 5 4 4 3 2 2 2 1 1 1 2 2 2 2 2 3 4 5 5 5 5 6 6 7 7 7 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 3 4 5 6 6 5 4 5 5 3 2 3 4 6 9 9 10 10 10 10 9 7 6 4 4 4 3 3 4 4 5 5 4 3 3 4 4 5 4 4 5 4 4 5 7 9 8 5 5 6 7 7 4 3 2 1 1 1 2 3 3 3 3 2 3 4 4 5 5 4 4 3 3 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 3 4 4 5 5 5 5 6 9 12 14 14 11 8 7 7 8 10 12 20 16 4 -1 5 9 9 8 8 7 7 7 7 7 7 6 6 6 8 12 16 14 13 13 14 15 13 9 6 3 2 4 6 6 6 6 7 9 6 7 14 15 7 7 1 5 14 15 9 6 5 4 8 10 8 7 6 7 7 9 15 16 11 9 13 13 2 -3 3 7 3 -1 0 9 13 8 10 13 8 4 4 3 1 7 4 0 11 21 17 10 -0 -6 1 5 5 9 12 11 9 8 6 5 8 8 5 5 6 6 6 5 4 4 5 5 5 4 4 4 4 4 4 5 5 4 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 4 3 2 1 1 -0 -1 -1 0 2 3 3 3 3 3 3 4 3 3 4 5 6 6 5 5 5 5 5 4 4 2 1 1 1 1 3 5 6 8 9 10 9 8 7 6 6 6 6 7 8 8 6 5 5 5 5 4 4 5 4 4 5 6 7 8 8 9 9 9 9 8 8 8 8 7 7 7 7 6 6 4 3 3 4 4 3 3 3 2 2 3 3 4 4 4 4 3 3 2 2 1 1 2 3 6 6 5 5 4 5 5 6 6 6 6 5 4 3 3 2 3 3 3 3 3 4 5 5 6 5 5 5 5 5 6 7 8 7 8 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 4 5 7 8 9 10 9 7 5 3 1 1 1 3 5 9 12 11 10 8 8 6 6 5 4 3 3 3 4 4 4 3 3 3 4 5 5 5 5 5 4 5 6 7 8 6 5 5 6 5 4 2 2 1 1 1 2 2 2 2 2 2 2 4 5 6 6 5 5 4 4 4 4 4 5 5 5 6 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 8 13 14 13 11 9 8 7 7 8 9 8 11 4 -4 -0 5 6 5 5 6 5 6 7 8 8 7 6 6 6 8 13 15 12 12 17 18 17 12 10 8 5 -0 -3 -1 5 12 10 6 7 4 3 11 13 9 6 -0 6 13 12 8 6 7 10 15 13 7 8 12 13 12 11 16 16 11 6 9 8 -1 -3 6 8 4 3 5 10 14 14 13 10 5 4 4 3 5 14 13 4 15 24 16 7 -2 -4 6 10 11 13 13 11 9 8 6 5 8 8 6 5 6 6 6 5 5 4 5 5 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 6 6 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 7 6 5 4 4 4 3 2 2 2 3 4 5 5 5 5 4 5 5 5 5 5 6 7 6 6 6 5 5 5 3 2 1 1 -0 0 2 4 6 7 8 9 8 8 7 6 6 5 5 6 7 8 8 5 4 5 5 3 4 5 4 4 6 7 7 8 7 8 8 9 9 10 10 9 8 7 8 8 9 10 9 6 4 4 6 6 3 2 2 2 2 1 2 3 3 4 4 4 4 3 3 2 1 0 1 4 5 5 5 5 5 6 6 6 9 9 9 8 7 6 5 4 4 4 5 5 5 5 6 6 6 5 4 3 4 4 4 5 6 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 5 4 4 5 6 8 9 10 9 6 3 1 -1 -2 0 4 8 10 7 5 6 8 9 7 6 4 3 2 3 3 3 4 4 3 3 3 4 5 5 5 5 5 4 4 6 7 7 6 5 5 4 3 2 2 1 1 1 1 1 1 1 1 1 2 4 6 6 6 6 6 6 5 4 4 5 5 5 5 6 6 5 5 4 4 4 3 3 3 3 3 3 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 5 8 13 12 10 9 9 8 6 6 7 7 6 5 -0 -4 1 4 4 3 4 4 5 6 7 7 7 7 7 7 8 10 14 15 11 11 17 17 12 9 9 9 7 2 -2 -5 1 10 10 8 9 5 4 8 7 9 10 4 4 7 7 6 7 10 14 18 10 2 9 19 17 10 7 12 13 9 6 7 5 -4 -1 9 10 5 4 5 5 6 9 9 5 3 5 7 7 9 16 16 10 19 22 13 4 -3 1 14 17 15 14 12 10 9 7 5 5 7 8 6 5 6 6 5 5 4 5 5 4 4 4 5 5 4 4 4 5 5 4 4 5 5 5 5 5 5 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 6 6 6 6 5 5 5 5 6 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 6 5 5 3 2 2 1 -0 -1 1 4 5 7 8 8 7 7 7 6 6 5 5 5 6 8 9 7 5 4 5 4 6 5 4 5 6 6 7 7 7 7 7 8 9 11 11 9 7 7 8 9 10 13 12 9 5 4 6 6 4 2 2 2 2 2 2 3 4 4 5 6 7 7 6 4 2 0 0 2 3 5 5 6 6 6 6 6 8 10 12 12 11 10 9 7 6 5 5 5 5 5 6 6 6 5 4 3 3 3 2 2 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 5 7 8 8 7 6 4 4 5 6 7 7 6 5 2 -0 -1 1 5 8 7 3 1 3 7 10 9 7 4 3 2 2 3 4 3 3 3 3 3 4 5 6 6 5 5 4 4 5 5 7 8 7 5 4 3 2 2 1 0 0 1 1 1 1 1 1 1 3 5 6 6 7 7 7 6 6 5 5 5 6 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 7 11 12 9 9 9 8 7 7 7 6 5 5 1 -2 2 2 2 2 3 4 5 6 7 7 7 7 8 9 10 12 13 12 7 9 14 12 4 5 4 0 0 3 2 -2 2 8 10 11 10 8 7 4 2 6 9 6 4 6 6 5 8 10 13 17 11 5 12 17 12 3 2 7 10 6 5 7 4 -1 4 12 10 4 -1 -6 -7 -1 5 5 1 2 6 9 8 8 8 8 13 21 19 10 3 -2 7 20 22 16 13 10 9 8 7 5 4 6 9 8 6 6 6 5 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 6 5 6 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 7 7 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 6 6 5 4 3 4 5 2 1 1 3 4 6 8 7 6 6 6 6 6 5 5 5 5 7 9 8 7 5 5 6 6 4 3 4 5 6 6 6 7 6 6 6 8 10 11 8 6 6 7 9 12 14 14 10 5 3 4 5 4 3 2 2 3 3 3 3 3 4 5 6 9 10 10 8 6 3 1 1 2 3 4 5 6 6 7 7 6 8 10 11 11 12 12 11 9 8 6 6 6 5 6 6 6 6 5 4 4 4 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 2 4 5 7 8 9 8 6 5 4 4 5 5 6 5 4 2 2 3 6 8 7 5 4 5 8 9 8 6 4 2 2 3 3 3 3 3 3 4 4 4 4 6 6 6 5 4 4 4 4 6 9 9 7 4 4 3 2 1 1 1 1 1 0 0 0 0 1 2 4 5 5 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 7 7 7 10 12 10 10 9 8 7 7 7 5 7 7 3 1 2 1 1 1 2 4 5 6 7 7 7 9 10 11 11 11 10 8 7 9 13 12 5 5 3 -5 -4 2 1 1 7 10 12 11 9 7 3 0 1 5 8 8 7 10 11 9 7 6 8 14 18 14 11 11 8 2 4 11 11 6 6 10 7 4 7 10 7 3 -5 -11 -5 5 6 -1 -3 2 7 8 10 8 -0 -0 14 22 17 9 2 1 11 21 21 15 10 8 8 8 7 4 4 6 10 8 7 6 5 5 5 4 5 5 5 4 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 6 5 4 4 5 5 6 6 5 5 5 5 5 6 6 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 5 5 6 6 5 6 5 6 7 7 7 7 7 6 5 5 6 6 6 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 7 8 8 8 8 7 7 6 5 4 5 8 8 4 3 4 5 6 7 6 6 6 5 6 6 6 5 6 5 6 7 8 8 7 5 5 5 3 3 3 4 4 5 6 7 7 6 6 7 10 10 8 6 5 5 6 11 15 14 9 3 1 2 3 3 2 1 1 2 2 3 3 3 4 5 6 8 10 11 10 8 6 3 2 2 2 3 4 4 5 6 6 6 6 6 8 9 9 10 11 11 10 8 7 6 7 7 7 7 8 7 6 6 7 6 5 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 6 5 4 4 4 3 3 3 3 3 3 4 5 5 6 7 8 7 5 4 3 4 5 5 5 6 7 9 12 12 11 11 11 11 9 8 8 7 3 2 4 6 7 6 5 5 4 4 5 5 6 7 8 7 5 4 2 1 1 2 3 3 2 2 2 2 3 4 5 4 4 4 4 5 6 8 9 8 6 4 3 3 4 5 5 5 5 4 4 3 3 3 3 3 3 3 2 2 3 4 4 4 4 5 5 6 6 5 5 4 4 4 5 5 7 8 8 7 6 6 7 14 20 16 10 9 11 14 16 13 4 1 4 6 5 5 5 5 4 4 5 6 7 9 10 9 7 6 6 9 9 12 19 17 12 9 5 4 7 10 7 3 8 10 7 6 7 4 3 5 4 5 5 8 11 9 8 9 9 7 5 4 3 1 0 2 7 13 17 15 14 13 11 9 4 -4 -8 -2 9 11 4 -1 1 4 6 2 4 6 7 10 10 10 10 11 14 16 14 10 5 4 6 9 12 13 12 11 9 8 8 6 1 -1 2 6 9 10 9 8 8 7 5 5 5 5 5 5 4 2 2 2 4 5 6 6 6 6 6 5 5 6 7 7 5 4 4 3 4 6 7 6 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 6 6 6 7 7 6 6 5 5 4 4 4 4 5 5 6 6 7 7 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 7 7 6 6 5 5 6 5 6 6 5 6 7 7 8 8 8 8 7 7 8 9 10 10 8 8 8 7 6 6 7 8 8 9 7 4 1 3 5 7 7 7 7 8 9 9 8 8 8 8 8 7 5 3 3 4 5 5 7 6 6 6 6 6 6 6 6 6 8 8 7 6 5 5 5 4 5 6 6 3 2 4 7 11 16 17 12 6 4 5 4 3 3 2 2 2 3 5 6 6 6 6 6 5 5 6 6 6 6 5 4 4 4 4 5 5 5 4 3 3 4 5 6 6 5 4 4 3 3 4 5 5 6 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 19 18 14 11 10 9 9 8 8 7 6 5 4 4 4 4 5 6 8 10 11 11 10 9 9 9 9 10 10 11 12 12 11 11 11 12 16 20 19 11 3 1 2 2 3 4 6 6 5 5 6 6 6 7 7 5 4 3 2 2 3 3 2 3 3 4 4 5 5 4 4 3 3 4 5 6 7 7 8 7 6 4 4 4 5 5 4 4 3 2 2 2 3 4 4 3 3 3 2 3 3 3 5 5 5 6 6 6 6 5 5 5 5 6 7 10 9 6 5 8 14 22 28 22 12 7 4 4 3 -4 -5 2 4 4 4 4 4 4 5 4 5 5 6 7 7 7 7 7 7 7 7 9 11 17 21 15 10 7 6 6 7 12 14 8 5 6 5 2 0 1 4 6 4 7 8 4 2 3 6 8 6 3 2 3 4 8 13 15 14 11 10 9 9 7 4 -2 -6 -5 -2 1 2 -0 -2 1 7 6 2 3 9 13 13 12 12 13 15 13 9 3 1 5 7 8 10 12 13 12 11 9 8 7 3 1 2 6 8 8 7 5 7 11 9 4 3 5 5 5 4 3 3 4 6 7 7 7 6 5 5 5 5 5 5 5 5 6 6 5 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 8 7 7 8 8 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 8 7 8 8 7 7 6 6 6 6 5 6 6 6 7 7 7 7 6 7 11 10 7 5 6 6 7 7 7 8 9 9 8 4 -1 1 5 8 9 9 10 12 14 14 12 10 8 7 8 8 6 4 4 4 5 4 5 6 7 6 5 6 6 7 6 6 6 6 6 7 7 7 7 5 4 4 5 5 4 3 4 5 9 13 13 10 4 0 0 1 3 3 3 4 4 5 7 7 7 6 6 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 5 5 6 6 6 6 6 6 6 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 5 7 9 9 7 5 5 6 7 8 11 16 17 12 6 4 3 2 3 6 9 9 8 8 10 13 11 7 4 3 3 4 5 7 9 11 17 24 23 15 6 4 4 3 2 3 5 6 6 7 6 6 5 4 5 5 4 4 4 4 3 2 2 3 4 5 5 5 4 3 3 3 3 4 5 4 4 5 6 7 8 7 6 5 5 5 5 5 4 4 4 4 4 5 5 4 3 3 4 4 4 4 5 5 6 6 6 6 5 6 6 6 7 10 12 9 6 9 16 26 30 29 23 13 5 5 1 -6 -10 -10 -3 2 3 2 3 4 5 5 6 6 6 6 6 7 8 10 12 12 10 13 14 9 6 9 13 11 7 7 8 5 4 7 14 13 8 5 4 3 2 3 5 4 6 7 4 3 6 9 10 8 6 7 9 11 14 14 11 8 5 3 3 4 5 -0 -8 -11 -1 10 12 8 4 3 3 6 8 8 6 4 7 7 8 9 9 8 10 8 3 5 13 17 13 9 10 11 12 11 10 9 7 6 5 4 5 5 5 5 5 8 11 10 5 3 4 4 4 4 3 4 4 5 6 7 8 8 8 7 7 6 5 5 5 5 6 6 5 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 7 7 7 7 7 7 8 8 7 8 8 8 9 9 9 9 9 9 9 10 10 10 11 12 13 14 15 15 15 14 13 13 12 11 12 12 12 11 11 11 10 10 9 9 8 8 7 7 7 7 6 6 6 7 7 7 7 8 10 10 8 7 8 8 7 7 7 7 7 8 7 4 2 3 6 8 9 10 11 14 19 20 18 13 9 7 7 7 6 5 4 4 4 4 4 6 7 6 5 6 6 6 6 6 6 6 4 4 5 6 7 7 6 5 5 5 3 2 3 3 4 5 6 6 6 5 4 3 2 3 4 5 5 4 4 5 5 5 5 4 4 4 4 4 5 6 6 5 5 5 6 5 5 5 6 8 9 10 8 7 7 7 8 8 7 7 7 7 7 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan -0 3 8 7 6 5 4 5 5 6 9 14 16 11 6 5 5 3 3 5 6 7 5 4 6 10 11 7 3 2 2 3 5 7 8 10 15 22 24 17 9 5 4 3 2 3 5 7 7 7 6 6 4 4 4 4 5 5 5 4 3 3 2 3 4 4 4 4 3 3 2 2 3 4 5 5 4 5 6 8 9 7 6 5 5 6 6 6 5 5 5 5 5 6 5 4 3 3 4 5 5 4 4 5 6 6 6 5 5 6 6 8 10 12 12 8 8 15 23 29 27 18 10 8 9 12 12 6 -1 -0 2 3 3 3 4 5 6 6 7 7 6 6 7 8 9 11 13 11 10 14 17 12 7 6 7 8 8 7 6 10 9 8 12 11 8 9 6 4 2 3 5 6 11 10 7 7 9 13 12 9 8 9 11 11 12 11 8 3 2 2 4 4 4 2 -9 -12 1 11 14 14 10 5 3 5 8 9 6 5 9 9 7 6 7 9 13 7 2 8 18 17 12 9 9 11 11 11 10 8 7 6 5 5 5 5 4 4 6 10 12 9 5 4 3 4 5 4 3 4 5 5 6 7 7 7 7 6 6 6 5 4 4 5 5 4 5 5 6 5 5 5 5 4 5 5 5 6 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 9 10 11 13 14 16 17 16 16 15 15 14 14 14 14 13 13 13 13 12 11 11 10 9 9 9 8 8 8 7 7 7 7 8 10 10 11 11 10 9 8 8 8 7 8 8 8 7 7 8 6 4 4 6 8 9 10 10 12 18 22 21 16 10 8 8 8 6 4 4 4 4 4 4 5 7 6 4 4 5 6 6 6 6 5 4 3 3 4 6 7 8 8 7 5 3 3 3 3 3 3 3 4 4 4 4 3 3 2 3 4 4 3 4 5 5 4 2 3 4 4 4 4 4 6 5 5 5 6 6 5 4 4 4 5 7 9 8 7 6 6 6 6 6 7 7 7 7 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 7 7 6 5 5 5 5 5 6 9 10 7 6 6 6 5 5 6 7 8 7 5 4 9 13 11 6 3 2 3 5 7 7 9 12 18 21 17 10 6 3 2 2 3 5 7 7 5 5 5 5 4 4 5 6 5 5 4 3 3 2 2 3 4 4 3 2 2 2 2 2 4 5 5 5 6 7 8 9 8 7 6 5 5 5 6 6 5 5 5 6 6 5 4 4 3 4 4 4 4 4 5 6 6 5 5 6 6 8 10 14 14 9 7 12 17 22 28 27 14 4 7 17 22 22 17 9 7 5 3 2 3 5 6 8 7 7 7 6 8 10 9 9 10 11 9 9 14 17 14 8 5 6 9 10 6 6 12 12 11 10 10 11 10 6 4 6 7 6 7 11 12 10 10 11 13 12 9 8 9 9 8 8 8 5 2 3 6 5 3 4 3 -8 -11 -3 6 8 12 13 9 6 7 11 13 11 9 10 10 7 4 8 13 11 3 2 12 17 14 10 9 10 11 10 10 9 7 6 5 4 5 6 5 4 4 7 10 11 7 5 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 5 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 7 7 7 7 6 7 7 7 8 8 8 8 8 9 9 8 8 7 7 7 8 9 11 13 14 15 16 16 15 15 15 15 14 14 14 14 13 13 13 12 11 11 11 10 10 10 10 10 10 9 9 9 10 12 14 13 10 9 9 9 9 8 8 8 10 9 9 9 10 8 4 2 4 8 10 9 9 11 16 21 21 17 12 10 10 9 8 7 5 4 4 4 4 5 6 5 5 4 4 5 5 6 6 6 5 4 4 3 4 6 8 9 9 8 5 4 4 4 3 1 2 3 3 3 3 4 4 5 5 4 3 3 4 5 5 3 2 2 5 7 6 4 4 5 6 5 5 5 6 6 5 4 3 3 4 5 6 6 5 5 5 5 5 5 6 7 7 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 8 5 4 5 9 15 17 15 12 9 7 5 4 3 2 1 1 1 2 3 3 3 3 4 5 8 9 9 9 11 11 8 7 6 6 7 9 9 8 7 8 10 8 11 23 28 15 2 -1 3 5 7 8 8 8 8 7 6 4 3 3 3 2 2 3 3 3 3 2 2 3 4 4 2 2 4 8 10 8 5 3 3 5 7 9 9 7 5 4 4 4 4 4 4 5 5 5 4 4 3 3 4 5 5 5 7 15 21 18 11 10 9 4 1 1 4 6 7 7 5 4 7 7 -3 -17 -18 -9 -1 1 2 1 1 3 5 7 9 9 10 11 12 11 10 8 8 10 11 9 7 6 11 18 13 9 9 7 5 6 8 8 10 13 12 10 8 7 6 6 10 13 7 2 1 4 10 16 18 15 13 12 10 6 3 2 3 2 2 1 5 9 5 3 10 12 9 13 13 5 -2 -7 -4 4 2 -3 -1 2 5 8 10 12 15 12 9 12 19 23 18 13 11 9 8 9 9 9 9 9 7 6 5 5 5 5 6 6 6 4 2 3 7 9 9 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 7 8 8 7 7 6 6 6 7 7 6 6 5 5 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 7 7 7 7 8 9 10 12 13 12 12 13 14 15 16 17 17 16 16 14 12 10 9 9 9 9 9 9 8 8 8 8 10 11 11 12 11 7 3 6 9 9 9 8 9 9 8 8 9 10 12 14 15 14 9 4 2 3 5 6 4 3 3 3 3 4 4 3 3 4 4 4 5 5 6 7 8 8 6 6 7 7 7 8 11 11 10 8 7 5 4 5 6 6 5 6 6 4 4 5 6 6 5 5 4 5 5 6 7 5 3 3 6 9 9 6 4 3 4 5 8 8 6 5 5 4 5 6 6 6 6 7 6 7 6 6 6 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 6 5 6 7 12 15 15 13 9 6 5 4 4 4 3 4 3 3 3 3 2 3 4 6 8 9 8 5 3 4 6 7 6 5 6 7 8 9 11 15 16 10 8 18 21 11 2 2 5 8 8 7 6 6 6 7 6 5 4 4 3 3 3 3 3 3 2 2 3 4 4 2 0 -0 3 8 9 5 2 2 3 4 6 7 7 6 5 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 4 7 15 24 21 8 2 3 4 3 2 4 5 10 14 9 -1 -5 -7 -12 -18 -23 -16 -5 0 1 1 1 2 4 6 8 10 11 12 11 10 9 8 8 10 13 14 11 9 7 7 10 11 10 10 9 6 7 7 5 8 12 11 8 7 8 7 7 11 11 4 -2 1 6 14 19 18 14 12 10 7 4 3 3 3 -1 -0 -0 4 7 4 2 7 13 13 8 2 -4 -5 -8 0 9 6 -2 -6 -2 6 13 17 18 18 15 14 16 18 19 14 11 8 8 8 8 9 9 8 7 7 6 5 5 5 5 6 6 6 3 1 3 7 8 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 8 9 10 9 9 8 8 7 7 6 6 5 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 6 7 7 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 9 10 11 12 10 9 10 11 11 12 12 13 14 14 13 11 8 8 8 8 8 8 7 7 7 6 6 8 9 9 10 9 5 4 6 8 9 8 8 8 8 8 8 8 8 9 11 16 20 18 11 5 4 5 6 5 4 3 3 3 4 4 3 2 3 4 3 4 5 5 7 7 8 8 9 10 10 9 8 9 10 10 9 7 5 4 5 5 6 7 6 4 3 3 4 6 6 5 7 7 6 6 7 7 6 3 0 3 8 10 8 6 4 3 4 7 8 8 7 6 4 4 6 7 6 6 7 6 6 6 6 6 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 6 6 8 10 11 10 7 5 5 6 7 7 8 8 7 6 5 4 3 3 4 6 9 11 10 6 1 1 4 7 8 6 4 5 6 7 11 16 17 9 3 7 14 13 9 10 11 11 9 7 5 4 5 5 5 5 4 5 4 4 3 3 3 3 3 3 4 4 3 1 -1 -0 3 7 7 3 0 3 7 7 6 6 6 6 5 4 3 4 4 4 5 6 6 5 5 4 4 5 5 4 6 13 21 20 8 -1 -1 1 3 4 4 4 9 20 25 17 3 -4 -7 -13 -19 -17 -9 -3 -2 -2 -2 -0 1 4 6 8 11 12 12 10 8 8 8 10 12 15 15 15 12 8 2 1 8 10 10 8 6 7 10 8 8 9 8 6 6 8 7 4 5 5 1 -2 3 9 16 19 17 14 11 7 4 3 4 5 2 -1 -1 5 7 3 5 3 5 11 12 5 -1 -3 -5 -10 1 16 14 6 -4 -4 5 12 15 19 21 18 15 14 13 12 10 7 6 6 7 8 8 8 7 6 6 5 5 5 5 5 6 6 5 3 1 3 6 6 5 5 5 5 6 6 7 6 5 5 5 5 5 6 6 7 8 9 10 10 9 9 8 8 6 6 5 5 4 3 4 3 3 3 3 4 4 5 5 5 6 6 6 6 7 7 6 7 7 7 6 5 5 6 5 6 6 6 5 5 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 6 6 7 7 7 6 6 6 6 6 7 7 8 8 8 9 10 10 9 8 8 9 9 9 9 10 12 12 10 8 7 7 7 8 8 8 8 7 7 6 5 6 7 8 9 8 6 4 3 4 6 7 8 8 8 8 8 8 8 7 8 12 18 21 18 11 6 5 6 6 4 3 3 4 3 3 3 2 2 3 3 4 4 5 6 6 7 8 9 12 14 12 9 8 9 10 8 6 5 5 5 5 6 8 7 5 4 5 6 5 5 5 6 7 7 7 6 7 7 4 1 1 5 9 9 6 4 3 4 6 7 8 8 7 5 4 6 6 7 7 6 6 6 6 6 6 6 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 5 3 3 3 6 16 25 23 13 5 2 1 -1 -2 -3 0 5 10 11 8 7 7 7 8 8 9 10 11 11 10 12 14 12 9 8 7 7 7 8 9 9 8 6 5 4 4 5 6 7 6 5 4 3 2 1 1 2 2 3 4 5 6 6 6 4 4 4 5 4 3 6 10 9 6 4 3 5 8 11 12 9 5 4 3 2 0 1 2 4 5 5 4 4 4 4 6 7 8 10 9 5 1 -1 1 1 2 10 14 10 10 9 8 10 8 4 7 10 8 6 -2 -3 0 2 3 6 8 10 10 11 11 13 14 13 13 14 13 10 6 5 6 8 8 6 6 11 16 15 10 9 10 7 3 3 4 4 4 5 4 4 6 6 6 4 0 -2 -3 -1 2 5 6 8 16 22 19 13 8 6 4 4 6 7 6 5 6 8 8 9 8 2 -4 -3 4 11 11 13 16 13 9 5 2 1 -1 1 8 16 17 12 7 5 3 3 4 6 8 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 6 6 5 5 4 3 4 7 9 7 5 4 5 8 7 7 8 9 10 9 9 8 8 7 7 7 7 6 5 4 4 3 3 3 3 5 7 9 11 13 13 13 13 12 12 12 12 11 11 11 12 14 16 16 17 16 13 11 10 9 9 9 9 9 8 8 7 8 8 9 10 10 9 9 7 6 6 6 6 6 6 6 6 5 5 6 5 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 9 10 10 8 4 4 5 4 4 4 3 3 4 4 3 3 5 6 5 1 -3 -1 5 9 10 12 14 16 17 16 16 16 17 18 18 19 19 19 18 15 14 14 17 18 17 13 8 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 6 6 6 6 6 7 7 7 7 7 7 6 4 3 5 6 8 9 9 8 7 6 5 6 5 4 3 4 6 7 8 9 9 8 6 5 3 3 4 6 6 5 4 3 4 5 4 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 6 5 4 4 6 13 21 20 11 5 2 1 0 -1 -2 -1 2 8 11 11 8 7 7 7 8 8 9 8 7 6 6 7 6 6 6 6 5 6 8 9 8 7 6 6 5 6 6 7 9 9 7 4 3 2 1 0 1 2 2 4 5 8 9 8 6 5 5 5 4 5 9 10 6 2 -0 -1 2 6 10 12 10 7 6 5 3 2 2 4 4 5 5 5 5 6 6 6 7 12 12 7 2 0 2 4 5 7 12 12 9 9 10 11 12 11 6 5 13 18 22 19 16 14 11 9 9 11 14 14 13 11 11 11 11 11 13 13 9 7 6 7 8 7 5 6 9 12 12 8 7 7 6 6 5 5 3 3 5 5 6 7 5 1 1 -1 -3 -3 0 4 7 9 14 22 25 22 16 11 6 4 4 5 4 4 7 10 8 7 10 9 4 -2 0 7 9 1 3 8 7 4 2 0 -1 -2 3 13 18 15 10 6 4 3 3 4 6 7 7 7 7 7 7 6 6 5 6 6 6 7 6 6 6 6 5 5 5 4 4 6 6 7 7 6 5 5 6 7 7 8 9 8 7 7 7 6 6 6 6 6 5 5 4 4 4 3 4 6 9 12 14 15 14 13 13 12 12 11 11 10 10 11 12 14 16 17 16 15 13 10 9 8 9 9 9 9 9 9 8 8 8 9 9 10 10 9 7 6 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 5 6 6 6 6 6 6 6 7 7 7 7 7 7 9 11 12 9 4 4 4 4 3 2 2 2 2 3 2 2 3 4 4 -1 -5 -0 7 7 7 8 8 10 10 11 12 12 13 15 16 18 21 23 23 22 20 18 20 22 21 17 12 7 3 3 5 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 7 7 6 7 8 7 5 4 4 5 7 8 8 8 7 6 5 6 5 3 2 5 7 8 7 7 7 7 8 7 4 4 4 6 7 6 5 3 4 5 5 6 6 5 5 5 6 5 5 5 5 5 6 6 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 7 6 5 6 9 14 15 12 8 6 4 3 2 2 2 2 6 10 12 9 7 7 7 7 8 8 6 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 6 7 8 10 9 6 4 3 1 0 1 1 2 3 5 8 10 10 8 6 5 6 6 8 10 8 5 2 -1 -2 -1 2 7 9 8 7 6 6 5 5 5 6 6 5 5 5 6 7 8 7 7 10 5 -1 1 3 4 4 5 7 9 12 11 9 14 18 18 14 7 4 7 12 16 20 19 17 14 11 11 13 16 17 14 9 7 7 7 9 12 12 9 8 8 9 10 7 6 6 6 8 9 7 6 6 8 11 10 6 4 4 5 6 8 9 7 1 0 1 1 1 3 7 10 12 17 22 23 22 19 12 6 4 4 3 2 3 7 8 4 4 10 12 6 1 3 8 3 0 6 8 5 1 -2 -1 0 -1 2 10 13 10 7 6 5 5 6 6 7 7 8 7 7 7 6 6 5 5 6 6 7 7 8 8 7 6 5 5 5 5 5 6 6 6 7 6 5 7 8 7 7 7 6 5 5 5 5 6 6 6 6 5 4 4 4 4 5 5 8 11 14 16 16 15 13 12 10 10 10 10 9 9 10 11 12 14 15 14 13 11 9 8 8 8 8 8 9 9 9 9 8 8 9 9 8 8 8 8 6 5 5 5 4 5 5 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 5 6 6 6 6 6 7 7 7 7 7 7 7 9 13 15 12 6 5 5 5 4 3 3 3 2 2 1 2 2 2 1 -4 -5 0 5 6 5 6 7 7 7 7 8 8 8 9 11 12 15 18 21 23 22 22 23 26 28 26 19 12 6 5 4 3 5 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 8 8 6 4 4 5 5 6 6 8 8 8 7 7 6 4 4 5 6 7 7 6 5 6 7 7 6 5 5 6 7 7 7 6 5 5 6 7 7 6 5 5 4 5 5 5 5 6 6 6 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 6 6 6 7 10 13 12 8 5 5 6 7 7 5 6 10 13 11 8 8 7 6 6 6 6 5 5 5 4 4 4 5 5 5 5 4 5 5 6 6 5 5 5 5 5 6 9 9 9 8 5 2 0 0 1 2 3 4 6 8 9 9 8 8 8 9 10 9 6 3 1 -2 -3 -3 -0 3 5 6 6 6 7 6 6 6 7 6 6 4 4 6 9 10 9 7 4 0 -0 4 5 5 5 6 7 9 14 12 10 18 28 28 19 12 15 20 19 15 15 17 17 16 13 12 14 18 18 12 7 5 5 7 9 11 11 9 8 9 8 10 8 6 5 6 7 7 7 6 7 11 12 10 5 5 7 8 7 10 12 8 4 2 2 3 4 7 10 11 11 16 21 20 19 19 13 6 4 3 2 2 3 5 6 3 3 9 10 6 2 3 3 -4 7 16 10 2 -2 -1 1 3 4 4 8 10 8 6 6 7 9 9 8 7 7 8 8 7 6 6 6 5 5 6 6 6 7 8 8 8 7 6 5 6 6 6 6 6 5 5 6 7 9 9 6 5 4 2 2 3 5 5 6 6 5 5 4 4 4 4 5 7 9 13 17 17 16 14 12 11 10 9 8 8 8 8 9 10 11 11 12 12 11 10 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 5 5 5 4 4 5 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 6 6 7 7 6 6 8 13 18 17 10 6 5 5 6 5 4 4 4 2 1 2 2 2 -1 -6 -5 1 4 4 4 5 6 7 6 6 6 6 7 8 8 8 9 11 15 18 20 20 21 25 30 34 31 24 16 9 5 5 6 7 7 6 5 5 4 5 5 5 5 4 4 4 5 5 5 6 6 5 5 6 6 7 8 7 6 4 4 3 4 5 7 8 8 7 9 8 6 4 4 5 6 8 8 5 4 5 7 7 6 4 6 7 8 8 7 6 5 6 7 7 6 5 4 5 5 5 5 6 6 5 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 4 5 5 5 5 6 8 14 15 9 4 6 9 11 11 9 9 12 14 12 9 8 7 6 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 3 3 3 4 5 7 10 11 9 4 1 1 2 3 4 4 4 6 8 9 9 10 12 13 12 8 4 2 1 -2 -3 -3 -1 2 4 5 6 7 7 5 5 6 7 6 5 4 4 6 9 11 9 6 4 4 5 6 6 6 6 7 7 9 12 10 10 16 28 35 32 31 35 36 29 20 17 18 20 19 17 16 18 21 16 10 6 4 6 8 11 12 10 8 9 8 8 10 8 5 5 8 9 9 7 7 7 9 9 8 4 5 9 10 9 11 10 6 4 3 4 5 6 10 11 10 10 14 19 21 20 19 13 6 2 1 3 3 4 5 6 6 7 8 8 6 3 1 -1 -1 13 17 5 -4 -3 1 3 6 10 9 9 8 7 5 6 9 11 10 8 7 8 8 7 7 6 6 6 6 6 6 6 6 7 8 8 8 6 5 6 7 7 7 6 5 4 4 5 9 11 10 6 4 3 2 2 3 5 6 6 5 5 4 4 4 4 5 7 10 14 17 18 15 13 11 9 8 8 7 6 7 7 7 8 9 9 10 9 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 7 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 10 17 21 13 6 6 6 7 5 4 5 5 4 3 2 2 2 -1 -8 -7 0 3 3 3 3 4 6 6 5 5 5 6 7 7 7 7 8 11 13 16 16 17 18 24 32 37 35 26 13 6 5 6 7 8 7 6 6 6 6 6 6 6 5 4 4 4 5 4 5 6 5 5 5 5 6 8 9 8 6 4 3 3 4 5 5 6 7 8 8 6 4 3 4 7 10 10 7 5 5 6 7 6 4 5 7 8 9 8 6 6 6 6 6 6 6 5 4 5 6 6 6 6 5 5 6 5 5 5 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 12 17 13 11 9 12 16 19 11 3 2 8 15 20 24 20 10 1 4 12 19 18 14 12 21 25 11 -0 0 8 13 13 12 12 13 13 10 11 11 11 11 12 13 12 12 12 11 11 10 10 11 12 11 9 11 12 15 18 20 20 18 15 15 15 12 10 12 14 16 16 15 15 14 13 14 14 15 15 15 16 16 13 11 11 11 10 11 11 12 12 12 12 12 13 13 14 14 15 15 14 14 14 13 13 13 13 13 14 14 13 13 14 16 16 15 14 14 13 13 12 11 11 12 12 12 13 14 14 14 14 14 14 14 14 12 11 11 12 13 16 18 19 19 18 20 22 22 21 19 17 15 15 15 16 15 15 15 15 16 16 15 15 14 13 12 13 14 15 14 14 14 13 12 11 10 10 10 10 11 12 13 14 12 10 11 12 13 12 10 8 9 9 9 9 9 10 11 11 12 13 14 15 15 16 17 19 19 18 16 15 15 15 15 15 15 15 15 15 15 15 15 15 16 15 14 15 14 13 13 14 14 14 15 16 17 17 14 13 13 14 15 15 10 7 10 13 14 14 16 19 19 16 14 12 11 10 11 11 11 11 11 11 12 12 13 14 14 14 12 11 11 10 9 9 9 10 11 11 11 12 12 11 11 11 11 11 11 10 11 11 11 10 10 11 10 10 10 10 10 11 11 11 11 10 10 9 7 5 6 9 9 11 12 12 11 11 11 11 11 11 11 12 12 12 11 12 12 12 12 11 11 12 12 12 12 12 12 12 13 12 12 13 14 14 13 13 13 13 12 11 11 10 11 10 11 11 12 12 12 13 13 13 13 13 11 11 11 16 19 17 14 15 18 16 14 14 11 9 8 9 13 14 15 16 16 16 17 16 18 20 25 30 32 28 21 18 16 15 16 15 14 12 11 12 13 12 12 12 10 9 7 7 8 8 8 10 11 12 12 12 13 13 12 11 11 10 8 8 8 9 10 10 10 11 10 11 12 11 11 11 11 11 10 9 10 11 10 11 12 12 13 14 13 12 11 12 15 15 13 12 12 11 11 11 12 11 12 13 12 12 12 12 12 12 13 13 13 12 12 11 12 12 12 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 7 3 4 13 19 19 15 11 10 13 3 3 18 21 19 19 20 14 5 3 2 5 10 14 17 18 9 3 6 7 7 9 10 11 12 11 11 11 9 8 9 11 14 15 13 13 14 13 14 15 17 19 19 17 15 13 12 13 14 15 16 14 13 12 11 11 12 14 14 14 14 13 13 12 11 11 11 11 11 12 13 13 12 12 12 13 13 14 16 18 16 14 13 13 13 12 12 12 12 14 14 13 14 15 16 16 16 15 15 14 14 13 12 12 12 11 12 13 13 13 13 13 13 14 15 15 14 13 13 13 14 15 15 16 17 18 18 18 19 19 18 16 16 16 16 16 15 15 14 14 14 15 15 15 15 14 13 13 14 14 14 14 12 12 11 11 10 9 10 11 11 12 13 13 11 10 11 13 15 14 11 8 7 9 9 10 10 10 10 11 11 13 14 14 15 16 17 19 19 18 16 16 16 15 14 14 13 14 15 16 16 15 16 16 16 16 15 13 13 13 13 14 14 15 15 15 15 13 11 12 14 15 14 13 12 13 15 16 15 17 20 22 19 14 11 10 10 11 11 10 10 11 11 11 11 12 13 13 13 13 13 12 12 11 11 11 10 11 11 12 12 12 13 13 12 12 12 11 11 12 11 11 10 10 10 10 10 10 11 11 10 10 11 10 10 10 9 8 7 7 8 9 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 13 13 12 12 12 12 12 12 13 13 13 14 14 14 13 12 11 10 10 10 10 10 11 11 11 12 12 12 12 13 13 12 12 12 15 17 15 12 13 21 21 14 12 8 5 5 10 14 15 15 16 17 17 16 17 18 20 25 28 30 27 20 17 15 15 15 14 13 13 12 12 11 11 11 10 9 7 6 7 9 11 11 11 12 12 12 12 13 12 12 11 10 9 8 7 8 8 9 10 10 10 11 11 13 12 11 11 9 10 10 10 10 10 11 11 12 12 14 15 13 11 9 9 11 14 14 13 12 11 11 11 11 11 12 14 13 13 13 12 12 12 12 12 12 13 12 12 12 12 13 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 3 8 6 -3 6 16 20 17 14 12 18 17 7 0 0 8 15 18 15 4 2 7 8 9 11 11 12 11 8 10 10 8 8 10 13 17 17 16 15 14 13 13 13 14 15 16 15 16 15 16 16 16 15 13 12 10 9 8 11 12 12 12 11 12 12 12 12 12 12 12 12 12 13 14 14 13 12 12 13 14 16 18 19 15 12 11 11 11 11 11 12 12 13 13 13 14 15 15 16 17 16 15 15 14 14 14 14 13 12 12 13 13 13 13 13 14 14 15 15 14 14 16 16 15 15 15 16 16 16 16 16 17 17 17 16 15 16 17 16 16 16 16 15 15 14 15 16 15 15 14 13 13 12 13 13 12 11 10 10 10 11 10 11 12 11 11 11 11 12 12 13 15 15 13 12 11 11 11 10 10 10 10 10 11 13 13 14 15 16 17 17 17 17 17 17 17 16 15 14 13 13 15 15 16 17 17 17 18 17 15 13 12 12 13 15 15 16 16 14 12 10 11 15 18 16 10 12 14 16 16 15 15 15 15 13 9 7 9 11 11 11 11 11 11 11 11 11 12 13 13 13 13 14 14 13 12 12 12 12 12 11 12 13 12 13 13 12 12 12 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 7 7 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 12 12 12 11 11 12 12 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 10 10 10 11 11 12 12 12 13 12 13 12 11 12 13 14 14 14 14 14 17 15 11 8 8 10 12 14 15 15 16 16 16 16 16 17 18 20 25 28 28 25 21 18 15 14 14 13 12 12 12 12 11 11 11 11 10 10 10 10 11 12 12 12 12 12 13 13 13 12 12 11 10 9 9 8 8 8 9 9 9 9 10 11 12 13 12 10 9 8 10 10 10 10 10 11 12 13 15 16 13 10 9 10 11 13 13 12 11 11 11 10 11 12 12 12 13 13 13 13 13 13 12 12 11 11 12 12 13 13 13 14 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 19 15 13 18 16 8 -3 1 9 13 13 10 6 9 11 12 12 12 12 12 9 8 9 9 9 9 11 14 17 17 15 14 13 12 11 12 12 12 11 12 14 16 17 15 14 13 11 11 10 9 10 10 11 10 10 12 14 12 11 11 11 11 11 11 11 12 14 15 14 13 13 13 15 16 19 19 14 10 10 11 10 10 10 12 14 13 13 13 13 14 14 14 16 17 17 15 15 15 14 14 14 14 13 14 15 14 13 14 15 15 14 15 15 15 15 16 15 15 16 16 16 15 15 16 15 15 15 15 15 16 17 16 17 17 17 16 15 15 15 15 15 15 14 13 12 12 12 12 13 11 11 10 10 11 11 12 11 11 11 12 12 12 13 14 15 15 14 14 13 13 12 10 9 9 9 11 11 12 13 13 14 15 16 17 16 16 17 17 16 16 15 14 14 14 15 15 16 17 18 17 18 17 16 14 14 14 14 15 16 17 16 14 13 13 13 15 17 13 8 12 15 16 14 13 13 11 10 9 8 9 11 12 11 10 10 10 11 12 12 12 13 13 12 13 13 14 14 13 13 13 12 12 13 13 13 12 12 13 12 12 12 12 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 10 10 8 8 9 9 9 10 11 11 11 11 10 11 11 11 11 12 11 11 11 11 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 13 13 13 13 13 12 12 12 11 11 10 10 11 11 11 12 12 12 12 13 13 12 12 13 14 15 15 14 14 13 12 10 10 11 14 16 16 16 16 15 16 16 16 16 17 17 18 22 26 28 29 26 23 18 13 13 13 13 12 12 12 11 11 11 11 11 12 12 11 12 12 12 13 12 12 12 12 12 13 13 13 12 11 10 9 8 8 8 9 9 9 9 10 9 10 13 14 12 10 9 9 10 10 10 11 12 12 13 14 16 14 11 10 10 11 12 12 12 11 10 11 10 11 12 12 12 12 12 13 12 13 13 13 13 12 11 11 11 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 14 15 13 12 14 13 11 12 12 11 10 9 9 9 10 9 10 12 14 15 15 13 13 12 11 10 9 10 9 8 9 10 12 12 12 12 11 11 11 10 10 10 9 8 9 10 13 14 12 11 11 10 10 10 10 10 11 12 14 15 14 14 14 14 16 18 16 12 10 10 10 11 11 11 13 13 13 14 13 14 14 14 14 15 16 16 15 14 14 15 15 15 15 15 15 15 14 15 15 15 15 14 15 15 14 14 14 14 15 15 14 15 15 14 14 14 15 14 14 15 16 16 17 17 17 16 16 16 15 15 15 16 15 14 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 13 13 14 14 13 13 14 15 14 13 12 11 10 8 7 8 9 10 11 11 12 14 14 15 16 16 16 16 16 16 16 16 15 14 15 17 18 18 17 18 19 18 18 17 15 15 14 14 15 16 16 17 16 14 13 13 13 14 13 12 12 14 16 15 14 13 12 11 10 11 11 11 10 9 9 9 10 10 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 11 10 9 8 8 10 10 11 11 11 11 11 11 10 11 11 11 11 12 11 11 12 12 11 11 11 12 12 12 12 12 13 12 12 12 12 12 12 13 13 12 13 13 12 12 12 12 13 13 12 12 12 12 11 11 10 11 12 12 12 12 12 12 12 13 13 13 13 16 18 15 12 11 11 11 11 11 13 16 16 15 14 15 16 17 17 16 16 17 18 20 23 26 29 31 29 23 16 14 14 13 13 12 13 12 11 11 11 11 11 12 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 11 10 8 8 8 8 9 8 9 10 10 9 10 11 12 12 10 9 9 10 10 9 10 11 13 14 15 16 15 13 12 10 10 11 12 13 11 10 10 10 11 11 11 12 13 12 12 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 12 11 9 10 11 11 11 13 15 16 16 14 13 12 12 13 12 10 10 9 10 10 10 10 9 10 11 12 12 12 11 11 8 5 6 9 13 17 15 11 10 10 10 10 10 10 10 11 12 13 13 14 14 13 14 16 18 16 12 11 12 12 13 13 13 12 13 14 14 13 13 14 15 14 13 14 14 14 13 14 15 14 15 15 14 14 14 15 15 16 15 14 14 15 14 14 15 14 14 14 14 14 14 14 14 14 14 15 14 15 15 15 15 15 16 16 16 16 16 16 16 15 15 15 14 15 14 14 13 12 11 11 11 11 11 12 12 12 12 13 13 14 15 15 14 13 13 14 13 13 12 12 12 8 6 7 8 9 10 11 12 14 15 16 16 16 16 16 16 16 17 17 15 15 17 20 23 23 20 20 19 17 15 14 13 13 14 15 16 18 18 16 14 13 13 13 14 14 14 14 14 14 13 13 12 11 10 9 10 10 9 10 8 8 7 8 9 10 10 11 12 12 11 11 11 11 12 12 12 13 13 14 15 15 14 14 14 13 13 12 12 11 11 10 11 11 11 10 11 12 12 11 12 12 12 12 12 11 11 10 10 9 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 13 12 13 12 12 12 12 13 12 12 12 12 12 12 12 12 11 11 11 11 11 12 13 12 12 13 13 13 13 13 14 16 13 9 7 10 12 12 12 13 15 16 15 14 15 16 17 17 17 16 17 19 22 25 29 32 32 29 23 18 16 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 12 13 13 13 12 10 9 8 7 8 9 9 9 10 10 9 8 10 12 12 11 9 9 9 9 9 10 10 11 12 14 16 16 14 12 11 11 12 12 12 12 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 5 6 8 8 9 8 7 7 7 7 8 11 13 13 13 12 11 8 6 6 7 8 8 7 6 6 6 6 7 6 6 5 5 5 5 5 6 7 8 10 12 12 11 9 8 8 10 10 9 7 6 5 2 0 0 0 0 1 3 5 6 7 7 7 6 6 6 6 5 4 4 4 3 3 3 3 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 6 6 5 4 3 1 0 0 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 1 5 19 39 43 36 38 41 42 40 38 35 31 30 28 26 23 14 1 0 0 0 0 0 0 0 0 0 0 0 1 4 10 15 16 15 14 13 10 9 8 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 43 32 37 47 48 45 57 86 110 106 88 76 80 90 114 141 142 130 119 104 90 78 69 62 54 44 38 35 38 44 51 57 60 60 62 64 65 66 64 63 65 66 71 81 85 76 65 59 57 55 56 59 68 86 102 107 109 114 128 144 154 155 151 145 143 149 162 174 183 178 154 129 102 83 81 78 71 58 46 35 35 40 22 22 21 19 20 28 36 40 52 54 63 87 104 111 122 133 147 151 158 157 153 151 149 143 116 72 37 21 14 13 19 32 50 70 90 103 111 114 104 80 59 49 53 68 85 105 111 117 131 153 161 170 182 186 179 166 153 140 135 136 137 130 116 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 6 8 9 8 8 8 7 6 6 8 11 12 13 12 12 9 8 7 7 8 9 9 8 6 6 6 6 6 6 6 5 5 6 6 5 5 5 6 7 8 9 8 7 6 8 9 9 8 6 4 2 1 0 0 0 0 1 3 4 5 5 5 5 5 6 5 4 4 3 4 4 4 3 4 4 4 4 4 3 4 4 5 5 4 4 4 4 4 3 1 0 0 2 4 5 6 6 6 6 6 5 3 0 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 31 39 27 18 26 32 34 34 33 30 26 24 20 17 14 8 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 14 13 10 6 6 6 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 9 7 27 5 13 41 47 41 44 70 106 119 112 109 116 122 135 144 134 118 103 87 75 66 62 61 55 45 36 32 34 38 43 48 54 59 73 87 90 83 72 68 72 78 87 97 100 93 82 75 67 62 63 64 68 82 96 102 103 104 105 110 120 126 127 127 126 131 145 157 167 168 157 146 126 100 87 88 83 78 76 56 33 41 42 34 35 26 30 38 59 57 60 62 68 93 102 94 85 87 105 116 134 146 148 149 152 157 146 111 72 39 17 16 27 35 47 69 89 103 114 116 105 86 71 64 61 68 80 83 103 142 157 174 197 188 177 173 171 164 151 137 129 128 134 134 121 103 nan nan nan nan nan nan nan nan nan nan nan 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 4 6 8 8 8 8 8 7 6 6 9 11 11 11 11 10 9 8 7 8 9 10 10 8 7 6 6 6 6 6 5 5 5 6 5 4 4 5 5 6 6 6 6 6 6 7 7 7 6 5 4 2 1 0 0 0 0 1 3 4 3 4 4 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 4 5 4 4 4 3 1 0 0 0 1 6 5 5 1 1 5 5 5 3 0 0 0 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 20 31 27 8 5 17 26 30 32 31 26 20 14 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 10 11 8 5 5 5 5 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 16 37 47 24 6 4 38 46 40 37 54 90 122 136 145 152 154 154 147 128 110 96 81 67 55 49 50 51 47 40 33 31 34 38 43 50 60 79 104 113 99 78 73 78 85 93 104 111 112 107 100 91 81 76 78 79 85 95 98 99 99 100 102 102 102 101 98 96 96 100 115 127 131 132 134 129 112 91 85 86 88 96 87 68 70 73 45 50 52 60 64 73 72 79 80 80 98 104 95 74 70 89 100 113 130 139 143 150 162 165 144 104 59 32 30 35 35 42 63 84 98 106 105 90 68 51 48 45 38 17 8 36 103 146 173 191 181 164 156 160 162 150 133 118 116 127 138 133 118 113 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 8 4 3 4 6 7 7 7 7 8 8 8 8 9 10 10 10 10 9 8 7 7 8 10 11 10 9 7 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 4 3 2 1 0 0 0 3 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 4 4 4 3 2 1 0 2 4 4 4 4 2 0 0 0 0 1 3 3 1 0 0 1 1 1 0 0 0 0 0 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 22 26 13 0 2 10 21 28 30 27 18 9 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 5 4 4 4 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 42 60 74 55 26 23 42 48 44 42 49 74 109 137 152 159 162 158 145 126 111 100 86 69 52 39 36 40 42 40 34 31 32 37 42 48 59 77 102 119 114 96 87 86 86 88 96 104 113 120 120 112 101 91 89 90 94 97 98 98 97 98 101 103 101 96 91 85 80 79 86 96 102 106 112 116 111 96 82 78 83 91 91 85 87 83 72 71 81 86 88 93 93 92 88 82 82 86 88 89 95 112 120 123 130 137 137 137 149 166 160 141 90 51 41 38 34 31 42 63 80 95 95 76 50 32 23 16 9 2 0 4 40 94 146 176 177 169 164 168 174 168 144 124 124 138 147 142 127 120 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
nan nan nan nan nan nan nan 11 12 9 5 3 5 6 8 7 7 8 9 8 8 8 8 9 9 10 9 8 7 6 6 8 10 11 10 9 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 2 1 0 2 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 2 2 3 3 1 0 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 18 16 4 0 0 4 16 25 20 14 7 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 5 3 1 2 1 0 1 4 8 12 11 33 48 71 74 56 51 57 58 58 57 59 70 91 115 130 136 141 143 138 131 123 114 100 82 61 42 32 31 34 35 32 30 31 36 42 48 54 66 81 98 109 109 103 96 88 82 81 86 93 104 113 114 107 98 94 95 100 102 101 98 94 94 97 100 101 99 94 85 80 79 80 85 91 94 97 99 95 87 81 76 78 88 92 90 90 89 87 90 98 105 109 111 109 98 95 95 90 70 78 105 131 148 151 145 141 145 140 133 136 153 155 149 110 68 48 37 28 22 20 36 63 82 82 69 48 29 18 10 3 0 0 1 11 45 100 153 177 175 173 176 182 185 168 144 140 151 156 147 126 116 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 9 12 13 11 7 5 7 9 8 6 7 10 9 8 7 7 8 8 9 9 8 8 7 6 5 6 9 11 11 10 8 6 6 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 2 1 1 2 4 5 5 4 3 3 4 4 4 2 2 2 2 2 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 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 6 1 0 0 4 15 19 7 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 0 0 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 8 9 9 8 8 8 7 8 12 19 26 27 21 26 40 58 68 66 66 70 73 76 76 75 76 82 93 103 108 115 124 132 134 132 127 119 104 83 61 42 30 27 29 29 28 28 31 35 40 45 49 53 62 76 91 102 98 90 80 74 70 71 75 84 90 90 88 88 91 98 103 104 100 97 94 92 93 95 95 91 84 78 75 76 81 89 94 94 92 87 81 82 84 88 94 99 101 100 99 100 106 112 116 119 115 111 105 107 118 115 93 89 111 137 157 156 142 136 145 150 144 140 142 147 144 120 86 52 28 18 12 8 16 38 54 58 56 48 35 25 17 10 4 1 5 19 49 90 130 156 161 158 163 174 181 172 149 138 146 155 152 129 116 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 8 7 9 13 15 13 9 8 9 9 7 8 11 11 9 7 6 6 7 7 8 8 8 8 6 5 4 5 8 10 11 10 8 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 3 3 2 1 1 3 4 4 3 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 2 2 1 0 0 0 5 15 12 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 1 5 6 6 6 8 10 11 12 14 18 22 21 31 39 40 38 33 34 45 59 62 62 66 74 82 89 91 87 83 84 88 91 96 105 118 128 131 129 128 124 111 90 66 43 27 23 26 28 27 25 25 28 33 34 32 32 38 50 64 76 79 77 74 68 63 58 60 65 71 73 78 83 90 97 102 103 100 95 90 86 86 86 83 78 72 68 70 79 91 99 100 98 96 94 97 104 108 112 114 119 117 114 114 120 120 118 125 122 119 110 115 127 126 118 120 139 152 152 140 122 114 123 139 142 138 134 146 149 136 105 62 28 14 8 3 3 12 21 30 41 47 44 38 33 28 23 18 22 51 96 133 153 162 148 144 146 148 155 151 134 122 118 126 138 134 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 14 10 8 10 14 16 14 11 8 6 6 10 15 16 12 8 6 6 6 6 7 8 8 8 6 5 4 3 5 8 10 12 11 9 7 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 3 2 3 3 2 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 6 8 10 11 21 31 36 39 41 41 38 37 36 34 39 52 50 45 50 62 74 84 92 95 92 87 84 83 84 85 94 108 117 118 120 125 127 117 95 66 39 24 21 25 28 27 24 24 28 29 23 15 14 17 22 35 48 60 68 71 69 63 58 59 67 71 73 78 84 90 95 100 100 96 91 85 81 78 73 69 66 64 68 79 95 105 106 105 108 112 116 120 121 123 126 134 130 127 122 128 126 116 125 119 119 114 124 125 124 121 131 144 146 143 131 113 100 97 108 118 122 125 141 155 149 123 86 52 30 15 3 0 2 6 15 33 47 49 51 58 68 67 62 65 90 136 171 192 192 172 162 154 146 139 136 124 109 97 102 126 133 125 120 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 nan nan nan nan nan 15 15 12 9 9 13 16 15 11 6 5 9 15 18 13 8 6 6 6 5 5 6 7 7 5 4 4 4 4 4 7 9 11 11 9 7 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 2 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 10 20 32 38 40 38 35 35 34 34 34 34 42 43 34 32 37 50 64 71 79 88 95 94 84 81 80 73 73 82 95 101 102 106 115 120 112 90 62 34 21 20 25 28 28 28 28 28 21 13 7 4 3 7 16 29 44 60 72 74 70 65 66 72 76 78 81 82 83 86 91 92 90 86 81 75 67 60 60 64 69 81 97 110 112 109 112 120 123 124 123 123 124 133 141 133 130 130 128 119 114 111 108 107 111 113 110 108 116 129 134 131 123 114 103 91 84 88 100 113 127 146 159 142 116 91 67 41 14 3 1 1 7 32 48 46 55 77 102 114 114 117 134 166 194 209 208 202 193 178 171 166 152 137 118 105 116 138 130 120 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 12 17 17 12 7 8 13 17 15 9 4 5 11 16 13 7 5 6 6 5 5 5 6 5 4 3 4 4 4 3 3 5 8 10 10 9 8 5 4 3 2 2 2 3 2 2 3 3 3 3 3 4 4 4 4 4 5 4 3 2 2 2 3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 2 2 3 7 15 29 39 41 40 37 34 33 33 31 30 32 37 34 25 27 34 44 57 62 67 74 83 89 87 84 79 69 60 61 71 83 87 86 89 100 106 100 81 55 33 22 20 24 30 31 28 22 16 12 8 3 1 0 2 7 16 33 56 74 82 76 69 69 75 78 77 73 68 66 69 74 79 80 78 72 62 55 58 68 76 85 97 109 116 116 113 123 118 121 124 121 119 125 130 132 134 128 122 118 111 104 103 107 111 105 96 96 101 105 105 102 100 102 107 102 85 74 82 100 114 130 157 157 145 130 105 78 51 23 6 0 3 21 39 48 62 88 127 160 173 173 180 196 211 214 206 202 202 194 191 195 184 165 143 123 127 140 123 105 104 nan nan nan nan nan nan nan 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 13 17 19 17 11 6 8 13 15 11 4 1 3 9 10 6 3 4 5 6 4 5 6 5 4 3 3 4 4 3 2 2 4 6 8 9 10 8 7 4 2 0 1 1 1 1 1 0 1 1 1 1 1 1 2 2 3 2 2 2 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 18 23 25 34 42 42 39 38 37 38 36 32 29 29 33 32 28 29 34 38 46 53 59 63 67 74 83 87 82 71 60 53 52 63 73 75 71 76 88 96 90 74 52 32 21 20 27 30 24 15 8 5 5 3 1 0 0 0 2 11 28 51 73 80 74 66 66 70 69 65 58 50 45 50 60 65 67 64 57 51 54 70 84 92 98 106 113 117 118 120 117 122 130 134 132 134 132 134 134 124 116 117 116 110 106 108 106 96 86 81 80 80 78 72 69 76 91 102 99 86 81 92 106 119 145 164 171 161 136 109 90 63 24 4 1 8 24 50 74 95 127 175 214 217 216 221 219 205 191 187 190 191 193 197 188 176 167 149 146 147 126 101 88 nan nan nan nan nan nan nan 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 15 18 20 21 16 8 4 6 8 7 3 0 1 4 6 5 3 3 5 6 4 3 4 5 4 4 3 3 3 3 2 1 2 4 5 7 9 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 22 37 42 36 34 37 40 39 38 39 41 40 36 34 31 32 34 34 34 34 32 34 42 49 54 56 58 64 74 76 72 66 57 46 46 57 65 66 66 73 85 89 82 66 46 30 24 26 28 22 11 4 1 0 1 0 0 0 0 0 2 7 20 41 63 72 67 57 51 49 49 49 43 34 33 40 48 52 54 53 52 54 70 87 97 103 109 113 113 115 120 122 132 142 151 150 143 139 139 139 131 124 126 128 125 120 113 102 90 80 74 70 68 63 55 49 52 63 83 100 99 90 91 105 125 142 158 177 182 162 135 115 93 47 12 1 1 10 37 68 90 109 140 178 212 226 227 218 201 178 172 172 171 177 180 166 164 168 169 172 169 149 123 103 nan nan nan nan nan nan nan 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 8 15 19 22 20 11 4 2 2 3 2 0 0 1 3 4 4 4 4 5 4 1 0 3 5 4 2 2 2 3 1 0 0 2 3 6 7 7 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 9 4 1 2 3 1 0 0 0 0 0 0 0 1 1 0 1 2 3 3 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 4 10 15 23 37 46 46 41 38 39 37 34 31 28 27 28 28 27 30 33 36 37 33 28 26 29 36 43 47 49 51 57 62 65 66 62 49 38 42 52 58 61 65 72 79 81 73 60 45 36 33 30 22 12 4 0 0 0 0 0 0 0 0 0 1 2 9 29 52 60 51 35 23 22 26 34 35 31 30 35 40 46 53 60 68 77 91 101 110 117 120 120 119 124 131 142 149 152 146 134 132 141 145 144 138 136 136 137 131 117 101 86 78 73 70 64 61 54 48 47 50 59 80 91 90 92 105 124 139 151 170 184 178 155 130 104 64 21 2 0 3 15 40 69 89 109 138 179 207 217 211 206 188 174 165 157 158 156 151 150 156 168 179 179 167 150 134 127 nan nan nan nan nan nan 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 8 14 20 22 16 8 3 2 2 2 1 0 0 1 4 6 6 4 4 3 0 1 3 5 5 3 1 2 2 1 0 0 0 1 4 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 19 10 12 7 4 4 2 0 0 0 2 3 3 1 4 4 2 2 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 1 4 8 12 14 19 30 40 44 43 42 40 33 21 8 9 12 8 7 18 23 28 32 30 26 23 22 25 32 38 42 45 47 49 54 58 58 49 35 31 38 46 51 54 58 65 72 74 69 60 51 44 36 28 19 8 2 0 0 0 0 0 0 0 0 0 0 0 3 16 33 35 24 8 5 6 17 33 37 31 31 33 40 53 66 76 83 90 99 110 119 123 127 129 130 136 140 141 142 139 136 140 141 142 142 140 137 137 136 130 121 106 89 79 75 74 70 66 64 61 59 57 56 64 74 79 86 102 118 129 142 160 176 180 170 151 122 82 33 5 0 0 1 10 38 64 81 99 137 175 198 203 203 198 189 176 162 154 150 148 147 144 150 164 171 167 159 151 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 2 5 11 17 18 15 9 5 5 4 3 1 0 0 2 5 7 6 4 2 2 3 4 5 6 5 2 1 1 1 0 0 0 0 2 3 4 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 2 16 23 18 13 9 7 2 0 0 1 5 9 7 6 10 9 6 6 7 8 6 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 1 1 2 2 2 1 0 0 0 0 0 0 2 6 7 6 6 7 11 19 27 35 47 52 47 31 13 8 4 1 0 2 7 9 16 21 20 21 21 22 26 33 39 41 41 41 42 46 46 42 34 27 28 34 39 41 43 50 59 67 70 66 60 51 41 34 27 16 6 1 0 0 0 0 0 0 0 0 0 0 0 0 6 11 10 4 1 0 7 20 32 33 33 32 33 44 61 71 78 84 91 99 109 117 122 127 130 126 122 121 131 147 159 157 145 133 130 132 133 135 132 122 119 116 104 90 80 77 78 78 78 81 83 81 75 72 74 75 82 98 115 123 129 144 160 170 175 170 146 105 53 19 7 2 2 9 26 48 65 82 109 141 170 190 199 199 197 189 176 164 157 152 144 132 130 145 156 155 151 149 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 1 4 9 15 18 17 14 11 8 6 3 1 0 1 1 5 6 5 3 2 3 3 4 8 9 6 2 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 27 23 18 14 11 4 0 0 3 11 13 9 10 14 12 8 8 8 8 7 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 1 2 3 3 3 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 1 4 5 2 2 2 2 5 9 16 31 48 55 50 35 21 13 4 1 1 1 0 2 7 7 13 18 20 22 27 33 36 36 34 32 32 32 32 30 25 23 26 28 28 28 33 41 51 58 61 58 52 43 36 34 29 18 6 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 3 8 15 27 38 41 37 40 53 67 76 86 91 93 98 106 122 138 140 130 121 120 131 151 163 158 147 129 125 129 131 133 128 119 118 123 121 110 93 80 80 84 90 98 104 108 107 103 99 96 98 109 123 126 120 124 138 151 166 176 168 134 88 55 35 18 14 24 40 59 75 86 101 123 149 173 189 199 202 196 180 164 158 150 140 121 113 132 143 139 135 126 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 1 5 12 17 18 15 13 11 7 3 1 0 0 1 4 6 6 4 2 3 5 10 13 11 5 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 2 9 23 33 28 22 19 16 10 3 1 10 16 13 9 11 15 12 8 8 8 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 1 3 3 3 2 0 0 0 0 0 0 1 2 5 13 26 39 46 49 48 39 24 10 8 7 5 2 0 0 3 7 6 14 20 24 28 29 27 23 21 21 23 24 22 20 21 23 20 16 13 15 25 36 43 47 48 43 39 37 36 28 16 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 18 39 49 50 51 61 75 90 100 104 103 98 96 111 135 142 134 135 141 141 145 146 142 141 136 133 135 135 133 125 115 113 117 123 124 113 94 81 81 90 102 113 122 130 135 134 132 133 140 145 142 125 116 122 134 150 171 178 158 123 97 80 59 46 51 65 84 98 103 106 120 143 164 179 191 195 191 170 153 148 145 136 115 107 113 117 116 112 105 105 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 0 0 0 0 0 0 0 0 4 8 10 12 12 12 10 5 2 1 0 0 1 5 7 6 4 4 5 9 15 17 13 7 4 5 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 23 35 30 25 24 21 14 5 8 16 18 12 8 11 14 12 10 9 9 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 4 5 5 4 4 4 4 2 2 1 0 0 0 0 4 10 11 11 8 3 0 0 0 0 0 0 0 2 6 12 23 33 37 46 52 49 39 29 22 16 9 1 0 0 1 0 2 7 13 17 19 20 17 14 12 14 15 15 14 15 17 19 16 8 3 5 12 20 26 31 35 34 31 28 22 15 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 32 47 56 62 74 92 108 117 117 115 107 90 98 126 131 114 115 131 135 129 135 134 135 136 138 140 138 130 121 114 107 106 113 122 125 117 98 85 86 98 113 126 138 149 156 160 163 169 167 154 138 126 127 134 144 162 177 172 150 130 114 97 85 85 92 101 111 113 113 124 144 164 175 179 179 175 160 146 138 136 131 117 107 102 94 92 91 84 76 71 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 8 4 2 2 1 0 0 2 6 8 7 5 4 6 11 18 20 15 10 8 7 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 33 31 27 26 25 18 8 11 18 17 11 8 10 14 14 12 11 11 10 9 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 4 4 4 4 5 4 4 5 5 4 3 2 2 1 0 0 1 5 10 12 13 10 4 0 0 0 0 0 1 0 0 3 6 12 22 26 31 38 42 48 50 42 33 21 8 2 0 0 0 0 0 2 1 6 12 12 10 8 7 6 5 5 8 11 12 12 6 2 1 2 4 7 10 17 20 14 8 6 5 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 22 39 53 71 91 109 119 122 117 119 116 97 101 125 135 108 90 95 99 101 120 131 130 131 133 139 140 134 125 118 111 107 109 117 125 128 121 106 95 99 111 125 137 145 153 161 168 173 170 158 144 139 144 151 154 161 177 184 171 150 131 117 112 114 114 113 115 116 116 124 143 163 173 172 166 161 155 146 137 130 123 115 108 105 103 97 88 81 75 74 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 1 1 1 2 1 0 0 3 6 7 6 4 3 6 12 18 18 15 15 11 6 4 2 2 2 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 18 24 31 26 24 23 13 9 15 20 16 10 8 9 12 14 13 12 13 14 13 10 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 5 6 6 6 5 5 4 4 4 4 4 4 5 5 4 4 3 2 1 1 1 0 1 3 5 4 3 1 0 0 0 0 1 3 2 1 0 2 4 8 17 20 22 25 35 53 56 50 38 22 12 7 6 5 3 1 0 0 0 2 6 7 6 3 1 0 0 2 4 3 3 2 0 0 0 1 1 1 3 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 5 19 34 49 78 105 115 116 117 114 118 119 113 112 125 139 131 112 96 84 82 102 126 133 128 128 134 140 139 132 125 119 115 113 115 122 128 128 123 116 115 116 120 129 135 138 143 150 157 160 156 150 148 152 159 166 171 185 198 189 166 144 131 134 143 138 128 124 124 125 132 149 167 174 168 160 155 153 148 136 120 107 103 103 106 116 117 104 98 101 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 2 0 0 0 1 3 3 4 3 3 5 10 13 15 19 19 12 4 0 0 1 1 1 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 9 26 23 22 20 12 11 19 23 18 10 8 8 10 11 11 11 12 13 12 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 7 7 7 7 7 6 5 5 4 4 4 4 5 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 1 2 8 12 14 19 30 44 52 52 45 34 25 21 20 16 10 3 0 0 0 0 2 3 3 2 1 0 0 0 0 1 1 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 1 5 13 19 34 61 90 99 101 104 104 110 118 125 127 124 127 133 134 128 112 92 91 112 132 128 126 130 137 136 133 132 126 123 120 116 120 125 126 126 125 125 122 120 121 125 126 126 129 135 142 150 152 150 152 153 156 170 191 207 197 176 156 145 154 165 162 149 140 137 138 147 163 177 180 173 164 158 154 148 132 108 93 94 97 94 100 109 109 114 126 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 11 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 4 4 5 6 8 16 23 20 10 2 0 0 0 0 1 2 3 2 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 15 19 20 17 10 10 21 26 20 11 10 11 10 9 9 10 11 11 11 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 9 8 8 8 7 6 6 5 4 4 3 3 4 5 6 6 6 5 4 3 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 1 0 0 0 4 8 10 12 21 33 48 61 63 54 42 35 33 28 18 7 2 1 2 3 1 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 4 13 29 54 70 77 80 81 88 100 115 129 128 110 106 118 130 133 122 105 106 119 123 129 137 136 130 129 133 132 130 123 116 117 119 119 118 118 119 119 119 119 120 122 122 120 119 124 134 144 146 149 150 150 155 181 198 189 172 160 155 162 172 171 162 150 141 139 147 162 172 174 169 165 161 154 148 139 120 103 100 92 77 72 82 99 115 128 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 27 22 16 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 7 6 3 2 4 14 22 18 7 1 0 0 0 0 1 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 4 6 6 15 18 12 13 23 26 21 13 12 14 12 9 9 10 11 11 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 9 9 8 8 8 7 5 5 4 3 3 4 4 4 5 6 6 6 6 5 4 3 2 3 4 4 3 2 1 1 0 0 1 2 2 0 0 0 0 2 5 4 2 0 0 1 3 6 8 9 14 29 53 75 80 67 52 47 46 37 25 16 11 14 14 10 10 6 5 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 1 1 0 0 0 0 0 0 0 0 0 0 1 5 1 0 0 2 7 23 37 48 56 61 66 74 89 109 124 117 99 91 96 105 110 111 115 116 112 123 135 131 122 121 127 134 135 128 118 114 112 107 103 101 102 106 113 118 118 121 123 122 118 120 123 134 143 150 148 149 165 178 184 174 160 153 155 159 163 164 162 155 143 133 135 146 155 154 148 150 153 148 147 142 131 119 107 96 79 70 82 101 115 122 126 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 42 38 30 20 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 4 7 8 6 2 0 5 12 20 16 8 2 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 2 3 2 6 12 9 12 21 24 20 13 12 14 13 12 14 16 16 12 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 7 8 9 9 8 7 7 7 5 4 3 3 4 5 5 5 5 6 6 6 5 5 5 4 4 6 12 14 12 8 6 6 4 4 5 5 5 5 5 3 3 3 4 5 4 1 0 0 1 3 5 7 9 16 34 60 82 86 69 48 42 47 41 36 33 31 31 28 23 14 3 2 5 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 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 21 33 44 51 56 67 82 100 113 109 94 82 75 66 71 92 105 108 112 119 124 123 124 127 134 137 132 123 120 115 101 92 87 83 86 98 108 108 118 121 120 119 123 126 133 147 156 153 151 158 169 171 161 147 139 143 149 152 153 154 155 150 139 134 141 147 143 137 139 137 138 136 132 123 112 105 104 100 95 99 112 118 118 119 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 48 47 40 30 18 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 3 2 0 0 0 3 8 11 8 3 1 4 14 19 18 13 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 2 3 5 5 6 6 7 12 20 20 14 12 14 15 15 19 24 20 12 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 7 7 9 9 9 8 8 8 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 7 14 18 18 14 12 12 10 10 8 8 8 8 7 6 6 5 5 4 4 3 1 0 0 1 3 5 7 12 21 36 60 80 84 67 47 54 62 61 53 44 43 40 33 24 8 1 1 0 0 3 2 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 2 2 2 11 14 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 24 36 47 56 67 78 90 102 105 98 86 68 55 59 74 92 99 101 109 118 126 127 129 131 131 129 130 130 120 107 97 88 83 92 107 115 115 116 114 114 116 123 133 147 156 156 156 162 166 164 155 141 134 144 149 147 143 138 141 151 154 151 150 148 142 137 134 128 129 129 125 116 107 105 110 114 116 115 120 121 113 111 113 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 54 53 48 36 25 15 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 11 8 4 1 0 1 6 14 17 11 4 2 5 12 20 24 24 17 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 5 4 3 2 2 7 16 19 15 13 15 16 17 19 22 16 10 8 6 2 0 0 0 0 0 0 0 0 0 0 0 2 3 4 6 7 7 8 10 10 10 10 9 8 7 7 6 6 6 6 6 6 5 5 5 5 4 5 5 6 5 4 3 6 13 18 18 17 17 14 12 11 10 9 8 8 8 8 7 6 6 5 4 3 2 1 0 2 4 8 14 20 22 29 45 63 76 80 76 78 76 70 54 50 45 37 27 15 6 1 0 0 0 2 1 0 0 0 1 2 1 0 0 0 0 0 0 0 0 2 5 8 13 18 18 10 2 0 2 2 2 1 3 6 4 1 0 0 0 0 0 0 0 0 0 1 6 18 41 50 60 69 72 79 91 100 103 96 81 68 70 78 86 88 88 94 109 122 124 124 126 131 138 144 142 138 130 122 116 114 121 124 119 116 116 115 112 112 124 138 147 149 152 158 162 161 154 143 141 151 155 151 141 129 128 148 164 162 157 155 150 145 139 131 128 126 120 114 107 101 103 106 110 112 114 114 108 105 105 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 90 77 66 57 43 30 21 13 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 15 11 7 4 2 4 12 19 21 14 7 3 4 12 22 27 22 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 2 1 0 0 0 0 4 14 19 16 14 16 17 16 15 16 12 8 8 6 3 0 0 0 0 0 0 0 0 0 1 3 4 4 6 6 6 7 8 9 9 9 9 9 8 8 7 7 7 6 6 6 6 5 5 5 4 4 5 5 6 6 4 1 2 7 16 18 19 20 18 14 13 13 11 9 8 8 9 9 9 7 6 5 5 5 3 2 0 1 6 16 23 21 16 15 23 42 65 82 86 79 71 59 49 43 34 24 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 13 20 17 7 1 1 6 12 12 8 6 6 7 4 1 0 0 0 0 0 0 0 0 0 0 3 28 40 50 58 63 64 69 79 90 99 98 89 83 82 81 81 81 84 94 113 119 117 117 123 137 143 142 145 142 138 137 136 137 135 126 118 118 120 116 109 111 121 130 138 146 152 152 151 148 141 143 150 150 148 140 131 134 147 150 146 146 152 159 161 150 141 141 140 130 120 109 96 92 89 87 88 92 94 93 94 96 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 132 106 81 69 53 37 27 21 15 8 3 0 0 1 2 2 2 1 1 1 0 0 0 0 0 0 2 8 13 16 16 14 10 6 8 14 20 22 17 9 4 6 15 20 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 20 16 16 18 17 13 11 11 9 7 7 6 4 2 0 0 0 0 0 0 0 2 3 4 5 5 6 6 6 7 8 8 8 8 9 10 10 8 8 8 8 7 6 5 4 4 4 5 5 5 6 6 6 6 5 3 1 3 10 16 17 19 20 19 18 17 15 12 10 10 9 10 10 9 7 6 5 4 4 2 1 0 3 11 19 20 14 8 9 15 22 64 88 81 67 53 45 37 27 16 6 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 15 14 6 2 2 6 20 30 26 13 5 5 4 1 0 0 0 0 0 0 0 0 0 0 1 17 25 31 40 49 56 59 61 66 74 82 88 88 84 78 76 79 89 103 114 114 107 102 105 119 129 131 127 125 122 120 121 123 123 117 112 110 113 114 111 108 109 112 124 137 144 146 142 137 134 136 137 134 132 132 128 127 124 113 104 105 121 143 160 154 142 153 160 152 141 123 108 96 83 72 68 70 72 71 72 76 78 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 132 113 83 71 62 47 34 27 22 15 7 2 0 1 3 4 4 5 5 5 3 1 0 0 0 0 0 2 6 12 16 18 15 11 9 10 17 24 25 20 13 10 12 14 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 15 18 15 16 17 14 12 10 10 8 7 6 5 4 3 1 0 0 0 0 0 2 3 4 4 5 6 6 6 5 6 7 8 8 8 9 10 10 10 10 9 9 8 6 6 6 5 6 6 7 6 7 7 6 6 6 5 2 1 3 8 13 15 20 21 21 19 20 22 22 21 19 18 15 12 9 7 5 3 2 2 1 0 1 3 7 9 6 8 10 14 18 57 88 81 64 48 40 32 22 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 6 4 4 17 37 44 33 15 4 2 0 0 0 0 2 3 2 0 0 0 0 3 10 13 15 19 28 42 51 52 51 53 58 66 74 76 73 70 73 88 107 114 113 108 101 98 101 110 120 122 121 116 109 104 103 103 100 95 93 92 92 96 96 97 98 108 118 124 130 130 130 128 125 120 117 117 118 117 113 100 81 59 56 75 106 126 132 132 143 156 158 153 142 128 113 96 75 62 60 59 54 54 55 60 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 115 107 82 68 68 62 47 38 32 26 16 7 1 1 3 5 6 6 8 10 9 5 0 0 0 0 0 0 2 6 10 14 15 13 10 10 13 19 25 25 22 18 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 16 14 13 13 11 12 11 9 7 5 4 4 4 3 1 0 0 0 0 2 3 4 5 5 6 6 6 5 5 6 6 7 7 8 8 9 10 10 10 9 9 8 7 7 8 8 9 9 8 8 8 7 7 6 6 6 5 3 2 2 7 10 15 18 19 17 18 25 35 40 38 36 34 28 21 18 16 10 6 4 2 1 0 0 1 2 2 9 14 18 34 73 91 82 64 46 35 28 20 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 6 3 10 28 46 49 39 22 8 2 0 0 0 2 3 2 1 1 1 1 3 6 8 6 3 10 25 38 42 42 43 45 47 54 59 58 56 60 76 96 106 111 114 113 110 110 111 115 121 126 126 120 114 107 100 94 85 78 73 70 69 70 74 80 87 95 104 114 121 125 126 123 117 110 108 107 105 103 93 70 45 39 50 74 94 100 104 114 129 141 149 148 140 128 112 94 75 67 63 48 43 45 47 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
91 108 111 96 82 82 82 71 55 46 38 30 20 13 10 9 9 9 9 10 11 12 10 4 2 0 0 0 0 0 1 3 5 8 12 11 10 10 13 18 21 23 23 21 19 16 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 7 16 16 14 11 10 10 10 10 8 6 4 4 4 4 3 1 0 0 1 2 4 4 4 5 5 5 6 5 5 6 6 7 7 8 9 9 9 9 8 8 8 8 8 8 7 8 9 8 8 8 8 8 8 7 7 7 8 6 5 3 2 3 5 9 13 14 14 13 15 21 30 35 37 39 40 38 36 34 29 24 17 13 8 5 4 4 6 9 16 23 29 57 88 91 80 62 46 33 26 20 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 10 21 39 49 53 49 31 15 2 0 0 1 3 3 3 6 8 10 9 8 7 5 1 3 12 23 31 33 36 38 40 41 42 40 38 41 56 75 91 103 111 115 114 114 118 118 114 116 120 120 122 124 116 104 88 74 64 55 47 43 44 50 58 63 72 88 103 114 120 119 115 110 101 94 90 91 86 68 47 38 40 52 70 79 80 90 111 128 138 143 140 132 120 108 97 92 83 59 44 39 41 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
89 107 119 120 116 113 110 102 88 71 56 46 38 32 27 22 19 17 16 15 14 16 13 8 5 2 1 0 0 0 0 0 0 2 6 9 9 5 5 8 11 15 18 20 21 20 18 14 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 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 12 10 10 9 9 8 6 5 5 5 6 6 4 2 0 1 3 4 5 4 4 4 4 5 5 5 5 6 7 7 7 8 9 9 9 7 7 7 8 8 8 7 7 8 8 7 7 8 8 8 8 8 8 8 8 7 5 5 4 2 2 4 9 11 10 9 10 11 11 12 15 17 19 26 31 35 38 38 33 30 26 23 19 18 22 27 32 38 49 77 91 80 69 58 45 34 27 22 17 12 5 1 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 15 21 36 43 51 59 60 44 16 3 0 0 1 2 6 16 28 32 27 17 9 6 2 1 4 11 20 23 27 32 34 33 32 30 27 26 33 50 71 90 104 109 105 101 104 106 105 105 104 101 104 116 123 116 99 82 67 51 35 25 22 26 32 37 44 56 75 92 102 106 104 99 88 76 71 72 72 60 44 35 33 37 46 54 58 74 103 129 135 134 136 125 113 109 109 110 103 79 58 48 45 44 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
95 100 114 128 141 142 135 127 123 109 85 66 56 52 49 44 37 31 25 22 19 18 19 16 12 7 4 3 2 1 0 0 0 0 1 4 5 2 1 1 2 4 6 12 18 21 21 19 15 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 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 9 10 9 9 9 8 6 6 6 6 7 7 6 5 3 2 2 4 4 4 4 4 4 4 4 5 5 6 6 6 7 8 8 8 7 6 5 6 7 7 8 8 8 7 7 6 6 7 8 8 8 8 8 9 9 9 7 6 5 4 3 2 2 7 11 10 10 10 9 8 7 6 6 6 6 9 13 18 24 30 32 34 37 37 35 37 41 44 46 51 66 76 70 62 57 49 40 31 26 23 18 10 2 0 0 0 3 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 19 21 26 32 40 49 64 65 43 17 3 0 0 0 3 15 33 42 35 21 11 6 0 0 0 4 11 14 17 22 27 30 29 26 23 20 20 26 43 69 90 102 98 86 79 81 85 91 91 87 85 87 93 97 96 88 74 56 34 17 10 11 14 17 24 34 50 68 79 83 85 83 72 59 52 52 52 47 38 30 25 23 25 28 32 48 87 132 140 135 131 117 100 94 101 111 110 91 69 58 53 51 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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81 76 70 65 68 77 87 93 90 77 66 62 66 64 38 15 24 49 67 75 80 85 85 78 69 62 53 47 45 45 40 31 22 17 13 9 6 6 7 9 10 8 5 2 1 0 2 7 15 23 26 23 19 20 24 22 17 13 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 11 14 17 16 12 14 17 17 14 9 8 7 4 2 0 0 1 4 5 4 4 4 5 6 7 7 7 7 6 5 5 5 5 5 6 6 5 4 4 5 5 5 6 6 6 6 5 6 6 7 6 5 5 5 6 6 6 6 6 5 4 4 3 3 5 11 14 12 7 6 6 7 7 7 8 8 8 8 10 10 10 10 9 8 6 4 2 1 0 0 0 0 0 0 0 0 2 6 11 16 15 14 12 8 6 4 4 7 12 16 18 18 17 16 12 6 4 4 3 2 0 0 0 7 20 32 26 9 0 0 0 0 0 0 0 0 0 0 0 0 0 7 17 29 40 37 20 7 15 34 42 37 25 11 4 14 31 30 16 4 0 0 0 2 4 5 2 0 0 0 1 6 11 13 13 15 28 53 75 72 71 78 80 72 57 44 34 30 25 20 19 18 16 13 12 8 5 5 6 7 9 9 9 8 8 7 4 3 2 1 1 0 0 0 0 2 3 3 2 1 0 0 3 12 29 45 52 53 56 58 61 64 56 51 55 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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84 88 93 97 90 81 73 67 61 58 58 63 69 70 59 36 19 18 28 47 73 96 99 90 87 93 95 89 82 77 71 61 50 42 36 30 24 19 16 13 12 11 10 9 8 5 5 5 8 17 29 26 24 24 25 25 22 18 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 1 0 0 0 0 0 1 2 2 2 2 2 2 2 1 0 0 0 0 1 1 1 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 17 17 15 15 13 16 17 21 19 12 8 7 6 5 3 2 3 4 5 6 6 5 5 6 8 7 7 7 6 6 5 5 6 7 7 7 6 5 5 4 4 3 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 4 4 5 7 11 16 19 18 14 10 7 5 6 7 9 10 12 14 15 16 17 15 14 14 13 10 8 8 7 6 6 5 7 7 5 4 3 3 3 2 0 0 0 0 0 0 0 1 4 8 12 14 11 2 1 2 4 8 16 19 16 10 4 7 19 29 25 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 21 38 48 33 18 28 41 43 32 16 6 22 40 37 24 15 10 5 0 1 4 5 4 1 3 12 21 20 17 12 6 5 11 35 65 83 86 78 64 50 38 29 21 16 11 6 1 4 12 14 11 8 5 2 4 8 10 11 11 10 10 8 7 6 10 15 17 14 11 8 5 4 4 6 10 13 10 6 3 3 13 29 36 36 32 28 28 28 30 33 40 45 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
69 76 87 104 112 112 104 92 77 61 51 47 51 61 62 52 33 19 18 27 41 53 57 51 60 85 108 114 111 104 92 74 57 48 42 37 30 26 25 20 17 13 11 10 8 6 5 6 7 12 22 29 30 30 30 27 22 17 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 2 2 3 3 0 0 1 2 2 2 2 2 2 1 0 0 0 0 1 1 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 16 20 18 15 13 11 8 16 20 15 10 8 7 6 6 5 4 4 5 6 7 6 5 6 7 7 6 6 6 6 6 6 5 6 6 5 5 4 4 4 5 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 7 12 17 19 18 14 12 11 10 9 9 9 10 11 12 14 15 15 15 14 14 13 12 11 10 9 9 8 8 12 22 25 21 16 9 7 6 4 2 1 0 0 0 1 3 6 8 10 12 14 12 2 0 1 2 3 9 16 20 19 14 14 21 29 27 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 21 40 45 34 30 36 43 35 21 13 21 32 34 28 21 16 10 3 1 3 5 4 3 6 20 28 26 21 12 4 4 12 29 48 62 70 69 55 39 30 22 16 10 6 2 0 7 20 23 19 13 9 6 5 7 10 12 12 12 12 12 10 9 11 13 16 16 15 15 17 15 13 12 12 12 10 8 5 4 7 16 22 23 20 18 18 19 18 17 20 23 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
63 65 68 79 96 110 118 117 104 83 65 57 60 66 70 67 55 38 27 23 24 28 34 33 41 70 99 114 113 104 93 84 70 56 47 40 33 28 30 30 30 25 19 15 11 8 7 7 8 10 16 26 36 38 35 29 24 18 12 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 4 4 2 1 0 1 2 2 2 2 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 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 1 5 10 16 19 14 12 11 11 8 16 19 11 9 8 7 6 6 6 6 5 6 7 7 6 6 6 6 6 6 5 6 6 7 7 6 5 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 6 6 6 7 11 15 18 20 21 18 13 10 9 10 11 11 11 12 13 14 16 17 16 14 13 12 12 12 11 10 10 9 9 8 12 24 32 32 24 13 8 8 7 6 4 2 1 2 6 9 11 12 12 13 16 15 10 5 2 2 3 3 8 16 20 20 20 25 32 26 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 24 46 46 34 32 38 37 28 20 22 28 32 31 27 22 15 8 0 1 4 4 3 5 18 24 25 22 14 7 7 16 27 32 37 44 49 43 31 23 16 10 5 3 3 5 13 25 29 24 18 13 10 8 9 12 14 15 16 16 17 16 16 17 18 18 16 14 14 16 19 18 15 12 11 9 10 9 8 8 12 16 18 17 15 16 18 16 12 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
78 70 66 62 69 80 92 101 101 92 82 75 74 74 76 74 73 67 55 43 33 27 30 33 40 56 74 90 90 77 67 71 74 67 56 43 31 24 26 34 42 44 35 24 17 13 11 10 10 12 15 23 36 44 40 31 27 20 14 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 4 4 4 2 0 0 1 2 2 3 2 1 0 0 0 0 1 1 0 0 0 0 1 1 1 2 2 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 16 15 12 10 10 12 14 22 21 11 10 9 8 8 8 6 5 6 7 7 6 5 5 6 6 6 5 4 6 8 16 13 6 4 4 3 4 4 4 4 5 5 4 4 4 5 5 5 6 5 6 6 5 5 5 5 5 6 6 6 7 10 16 20 20 21 22 22 20 16 14 12 12 12 12 13 15 20 25 27 27 26 23 21 22 22 20 17 16 10 9 7 9 14 19 19 14 8 6 6 7 8 7 6 5 4 8 10 12 13 14 16 18 19 17 15 12 10 7 4 4 9 14 18 21 27 30 20 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 38 50 40 32 35 40 36 28 26 28 30 31 31 28 22 14 2 0 3 4 4 4 12 19 22 21 17 12 12 18 24 24 22 25 28 30 26 19 15 10 5 5 10 15 21 27 28 24 18 14 12 12 11 13 15 16 18 20 21 22 22 22 23 24 24 20 16 16 17 17 15 13 13 14 16 16 16 16 18 21 23 21 20 21 22 20 14 9 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
94 81 77 70 63 61 66 72 78 81 80 80 80 79 78 74 72 75 72 63 52 40 34 34 42 54 65 74 72 58 44 44 60 69 62 45 29 19 18 27 42 53 48 35 24 18 16 15 14 16 18 22 33 44 43 35 27 19 14 12 10 7 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 4 4 4 3 1 0 0 1 2 4 5 4 2 1 0 1 1 2 1 0 0 0 0 1 1 1 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 12 10 9 9 10 12 15 18 26 18 11 9 9 8 8 7 5 5 6 7 7 6 5 5 6 6 5 4 4 6 13 23 18 7 4 4 3 3 3 3 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 11 17 21 20 22 23 23 25 24 22 19 15 13 13 13 18 27 35 38 41 41 40 37 40 44 47 45 41 35 25 15 13 12 11 8 5 4 4 5 6 8 9 10 10 10 11 13 14 15 17 20 20 20 20 20 21 19 15 8 3 5 8 15 21 25 22 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 25 45 47 40 36 39 39 35 31 30 29 30 31 32 29 22 9 2 2 3 4 5 7 11 15 18 17 14 13 16 18 17 18 17 16 18 23 26 20 13 8 11 20 29 31 30 26 20 16 12 12 12 12 12 12 13 14 15 18 22 23 22 22 24 27 26 22 21 22 22 20 19 18 19 22 25 27 29 30 33 33 30 27 28 28 24 18 14 12 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
93 87 87 86 78 69 64 60 61 63 66 71 77 80 79 74 65 63 66 67 64 56 43 38 47 63 71 70 66 58 45 36 40 51 51 45 36 23 14 17 31 49 54 43 30 23 20 19 20 22 24 25 30 40 44 37 26 16 12 10 8 4 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 4 4 4 3 2 0 0 1 2 4 5 5 4 3 2 1 2 2 2 2 1 1 1 1 1 1 2 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 9 8 9 10 14 17 20 24 20 10 7 6 6 5 4 4 5 7 8 7 6 8 7 5 5 5 4 5 6 17 23 23 13 6 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 11 14 16 19 22 22 22 24 25 24 20 17 14 14 19 26 32 35 37 38 38 39 44 50 57 61 60 59 54 45 37 32 27 23 19 17 16 13 10 15 17 16 17 16 16 16 18 21 24 24 24 22 21 19 19 20 18 12 4 4 5 10 16 18 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 3 5 14 35 50 50 41 38 39 38 35 32 30 29 32 34 33 28 19 9 2 2 5 6 6 5 8 15 18 15 14 16 16 15 17 17 14 13 15 16 14 13 14 21 34 40 36 31 23 16 11 8 8 8 9 8 8 9 10 11 13 16 20 21 20 20 23 24 23 22 23 26 28 29 29 29 30 32 34 36 40 41 38 31 27 28 28 25 21 19 20 21 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
90 94 101 104 99 88 76 67 60 55 53 56 63 71 77 79 74 69 69 69 66 61 51 46 56 74 76 67 63 64 60 46 39 44 52 58 60 44 26 19 25 43 55 49 35 27 25 26 28 28 31 32 31 38 42 36 26 17 10 6 3 1 0 1 5 5 2 1 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 3 2 1 0 0 2 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 16 15 11 8 8 9 14 16 18 17 11 6 4 4 4 4 4 5 6 10 14 15 16 17 14 5 5 5 5 5 7 16 22 24 19 9 5 5 5 6 6 5 5 5 5 4 4 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 12 14 17 18 20 22 24 24 21 18 17 18 21 23 24 25 26 26 30 35 41 46 51 54 56 57 57 54 50 48 46 44 41 40 38 37 37 37 34 31 27 26 23 25 30 33 33 32 29 24 20 19 19 18 13 7 4 4 6 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 9 9 8 6 4 7 24 46 55 47 38 37 38 36 34 32 31 32 34 35 34 27 16 6 2 3 6 7 7 7 13 19 19 19 21 22 21 21 21 21 20 18 15 12 11 17 30 46 42 33 25 18 13 9 6 4 4 4 4 3 5 8 12 12 14 22 24 22 22 23 24 22 20 19 23 28 32 36 38 37 37 36 35 37 35 31 27 24 26 26 24 21 21 24 27 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
101 106 111 115 112 104 94 83 74 63 53 47 48 54 66 83 95 97 95 88 78 67 59 55 62 76 81 72 68 74 84 82 80 83 92 101 97 76 57 49 44 45 52 51 41 34 31 31 33 34 36 35 33 36 39 35 25 17 8 2 0 0 0 1 4 7 6 4 1 0 0 0 0 0 0 0 1 1 2 3 3 3 4 4 4 3 2 1 0 1 2 3 3 2 2 2 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 16 17 14 8 6 7 11 13 12 9 6 5 4 4 5 5 5 6 8 14 17 18 19 21 17 8 5 5 6 5 6 11 18 21 17 9 6 5 6 6 6 5 5 5 4 4 5 6 6 8 8 8 8 8 7 7 7 8 9 10 11 11 10 9 9 8 8 8 9 11 14 16 18 23 26 25 22 19 18 18 20 21 22 22 23 27 31 34 34 32 31 32 34 36 39 41 43 46 49 50 51 52 53 53 53 51 47 41 38 33 32 33 34 36 37 35 30 23 22 21 20 16 13 10 8 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 25 26 21 14 8 6 16 38 55 51 40 36 36 36 35 34 34 34 34 34 35 32 24 14 6 2 4 8 11 15 19 23 25 27 30 30 28 26 25 26 28 32 29 18 13 18 34 42 37 28 19 13 10 9 8 7 6 3 2 1 4 12 21 21 26 33 38 37 35 34 33 31 27 23 22 24 28 31 34 35 36 35 34 32 29 26 26 26 26 24 22 20 21 24 28 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
114 119 124 123 118 114 112 109 100 87 71 56 46 45 56 80 106 116 115 110 102 90 74 64 65 76 87 88 86 95 116 128 125 125 126 125 112 96 93 95 84 60 49 53 47 41 42 41 40 38 39 39 36 35 37 33 24 16 7 1 0 0 0 0 2 6 9 8 5 3 1 0 0 0 0 0 0 1 2 3 4 4 3 3 4 3 3 2 0 0 1 2 2 1 1 2 2 3 2 2 2 2 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 10 14 14 10 6 6 6 7 8 8 5 4 5 5 5 6 6 6 6 10 16 18 18 19 20 15 8 5 6 6 6 6 6 9 9 8 6 6 6 5 5 5 5 5 5 5 5 6 8 8 8 8 7 7 7 6 5 4 6 7 9 11 12 11 11 10 11 10 8 8 9 10 12 15 21 25 26 25 22 20 18 20 23 23 24 25 28 28 26 22 17 14 14 14 13 16 19 22 26 31 38 43 48 52 55 56 54 52 48 44 40 35 33 32 34 36 37 37 34 33 27 24 21 21 21 19 15 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 19 38 48 43 29 15 6 11 31 55 54 40 34 34 35 35 36 38 37 35 34 36 36 31 24 14 6 1 5 10 20 27 30 32 32 36 36 31 28 27 26 28 34 40 32 23 24 30 34 33 27 18 11 9 10 13 16 15 7 4 1 4 24 38 42 45 49 53 56 56 53 48 44 45 42 36 32 32 29 27 29 34 37 36 30 23 21 22 24 23 21 18 18 20 22 24 25 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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115 126 126 116 110 105 101 99 100 105 105 104 100 82 67 58 52 51 56 66 80 97 104 98 88 96 114 119 112 104 100 99 98 94 92 89 85 96 126 141 124 91 66 53 42 36 43 57 57 47 46 48 42 34 29 23 16 12 8 4 2 0 0 0 0 1 5 9 10 9 6 4 2 1 1 3 3 2 2 3 4 4 5 6 6 5 4 3 3 3 2 1 1 0 1 2 4 4 4 4 3 2 2 3 3 3 2 2 2 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 4 2 3 6 8 9 8 8 7 6 6 7 7 6 6 6 8 16 22 22 19 17 13 6 6 7 7 6 6 6 6 7 8 8 8 7 6 5 5 4 4 5 6 6 6 6 5 4 4 6 6 7 7 6 6 6 5 5 5 4 4 5 5 7 10 12 12 10 9 8 8 9 10 11 12 14 16 18 21 22 21 19 16 13 10 8 5 2 1 0 0 0 0 0 0 1 2 6 12 22 33 42 47 49 50 51 50 48 46 44 42 39 38 40 43 44 46 47 47 43 38 36 35 30 23 17 14 12 9 5 2 0 0 0 0 0 0 0 0 0 0 2 13 36 59 71 71 62 40 18 12 34 63 61 40 27 27 28 29 33 38 42 42 41 42 43 42 38 32 26 20 14 10 10 15 23 28 31 32 32 32 34 35 29 30 34 38 40 41 40 34 27 23 22 19 16 12 10 14 27 37 33 20 6 1 10 28 44 52 58 62 66 77 79 70 64 63 63 61 61 61 60 57 53 48 42 34 24 15 13 14 15 16 15 14 13 16 20 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
84 99 107 103 93 84 79 79 87 95 99 104 117 106 76 52 37 29 31 38 50 68 88 95 91 97 118 126 115 100 94 93 92 92 93 92 89 102 134 151 136 107 78 57 45 42 52 69 74 63 56 55 47 34 27 21 16 13 12 10 7 3 0 0 0 0 3 8 9 7 5 4 4 5 6 7 6 4 3 3 4 4 5 7 8 9 9 8 6 4 3 3 3 2 3 4 4 4 4 5 4 3 2 2 2 2 2 2 2 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 2 1 3 6 9 11 10 10 8 7 7 7 6 6 6 6 9 19 26 26 24 20 13 7 7 7 8 7 6 5 5 5 6 6 5 3 2 1 1 0 0 1 2 1 1 1 2 2 3 4 5 5 5 5 4 4 4 4 4 4 4 3 3 4 7 9 9 9 9 9 8 7 7 7 7 6 8 10 12 12 10 8 6 4 2 1 0 0 0 0 0 0 0 0 1 2 5 9 14 23 33 41 45 46 46 45 44 41 38 37 36 35 36 40 44 45 46 45 45 46 43 42 40 31 21 16 14 16 15 11 5 0 0 0 0 0 0 0 0 0 1 6 20 41 61 72 76 72 54 29 21 42 68 66 40 20 16 18 20 26 34 42 40 38 42 46 47 45 39 33 29 26 21 15 12 15 21 26 28 24 21 24 30 29 30 32 33 34 37 39 37 31 23 17 16 18 18 17 19 27 36 37 26 13 8 13 20 26 32 37 46 55 68 76 70 65 64 60 57 58 62 64 62 57 48 39 30 23 17 14 14 16 19 19 16 12 16 21 22 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
50 71 89 96 90 79 74 77 83 89 88 89 102 101 67 37 32 30 27 31 38 49 64 73 74 80 100 118 114 99 94 95 95 98 103 104 101 112 140 158 152 128 90 63 52 53 65 83 93 85 69 62 51 36 26 20 16 16 16 15 13 9 4 1 0 0 1 4 5 2 2 2 5 8 13 15 11 6 4 3 4 4 5 8 10 11 10 9 8 7 5 4 4 4 4 4 4 4 4 5 5 3 2 2 2 2 2 2 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 3 3 4 5 8 11 12 11 11 9 8 8 7 6 5 5 6 13 21 25 25 25 22 15 8 7 7 8 6 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 3 2 2 1 1 2 2 3 3 3 2 2 2 2 3 4 4 6 6 6 5 5 4 4 4 4 4 3 1 1 1 0 0 0 0 0 0 0 0 0 0 1 4 7 11 16 21 26 31 35 37 36 33 30 28 26 24 24 24 25 29 34 38 39 41 42 42 41 38 36 34 28 22 18 17 19 20 16 11 5 2 1 0 0 0 0 0 0 3 12 27 42 57 74 83 81 67 42 32 52 78 74 43 17 10 10 12 17 28 38 37 35 38 45 50 50 46 39 35 32 29 23 16 14 15 20 25 25 20 16 16 20 25 28 27 27 31 34 34 31 26 18 18 20 22 22 22 25 29 28 22 17 24 35 36 28 20 15 24 41 58 70 68 63 62 59 52 48 53 59 55 44 37 31 26 24 21 16 16 18 22 23 19 14 17 23 25 26 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
27 46 71 94 96 86 78 78 77 80 78 72 84 90 68 43 43 48 42 42 46 50 56 58 58 63 81 102 107 97 90 93 94 96 103 111 111 119 140 155 153 132 98 69 59 61 74 95 107 95 73 58 51 42 31 22 18 18 19 19 18 16 10 4 1 1 0 0 0 0 0 0 3 8 15 19 16 9 5 4 5 5 6 8 9 10 11 10 10 9 8 6 5 4 4 4 4 4 4 5 6 3 2 2 2 2 2 3 3 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 4 4 4 8 11 12 11 10 9 8 8 7 5 5 5 5 10 14 14 14 13 10 7 7 7 7 6 5 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 1 2 2 2 1 1 0 0 0 0 0 1 1 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 11 14 16 18 19 17 14 13 13 12 10 9 10 11 12 14 19 23 26 30 33 34 34 33 28 25 24 24 22 22 21 20 20 19 17 14 10 5 2 0 0 0 0 1 5 17 31 40 51 72 86 87 78 60 50 67 90 87 57 26 11 8 9 15 26 33 34 35 37 42 49 53 51 46 40 37 35 31 24 17 13 12 16 23 26 21 14 10 14 21 28 29 29 31 30 27 25 24 23 23 22 19 16 13 13 13 9 9 22 49 60 50 31 14 11 26 48 63 67 61 59 61 56 43 41 47 46 38 29 25 23 21 20 18 16 20 23 22 18 14 17 23 28 31 33 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
16 30 58 85 96 93 84 76 67 66 68 62 67 84 86 80 80 77 66 60 60 64 69 66 59 59 73 90 103 102 88 84 85 86 91 103 111 120 135 145 141 124 99 79 69 67 78 102 108 85 59 50 53 53 44 31 22 19 20 21 20 18 15 8 4 3 1 0 0 0 1 2 5 9 14 20 21 14 8 5 4 5 6 7 8 8 9 10 11 11 11 10 7 5 5 5 5 4 4 5 6 2 2 2 2 2 3 3 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 3 3 3 3 5 8 11 12 11 9 9 9 7 6 5 5 6 6 7 7 7 6 7 7 6 6 7 6 5 4 5 6 3 1 0 0 0 0 0 0 1 1 0 0 0 1 1 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 1 3 4 5 4 5 5 4 2 1 2 2 2 2 3 4 6 7 10 14 18 22 25 26 24 23 20 17 17 18 19 20 22 23 21 20 19 18 14 9 4 1 0 0 0 1 7 19 30 36 46 65 82 90 88 78 71 81 99 99 73 37 14 8 10 20 32 34 32 32 35 40 46 52 55 51 44 39 40 42 36 27 17 11 9 15 26 30 25 16 11 12 18 23 26 26 24 21 20 23 27 28 23 16 8 3 2 2 1 1 14 43 63 64 52 36 24 23 40 53 61 56 53 60 62 49 39 38 38 34 28 24 22 18 19 18 18 22 25 21 15 13 15 20 26 32 36 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
16 17 30 56 80 94 92 80 64 55 56 56 55 65 79 89 94 88 79 70 68 73 81 79 68 64 79 91 106 112 105 91 82 77 79 87 103 118 131 136 129 115 100 89 83 83 92 104 98 66 43 49 66 74 66 50 37 29 25 21 18 16 15 11 6 4 2 0 0 2 5 9 12 13 14 19 23 20 13 8 6 10 13 13 10 8 8 10 12 13 13 12 10 7 5 5 5 5 5 5 5 2 2 2 2 2 3 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 1 1 2 2 3 7 11 12 12 10 9 9 8 6 4 4 5 6 7 7 6 5 5 5 6 6 6 5 2 1 3 5 4 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 5 9 14 18 19 17 16 16 15 13 12 13 14 16 18 20 21 20 19 15 10 8 4 0 0 0 0 1 5 15 26 33 42 57 74 88 94 92 87 92 105 109 92 55 22 15 18 30 39 38 31 28 28 31 37 45 55 58 52 43 40 49 51 44 31 20 13 12 19 29 36 35 26 16 12 12 15 18 16 12 11 17 27 30 21 13 8 2 0 0 0 1 11 34 52 55 54 58 58 58 56 52 51 42 37 47 59 63 57 47 39 35 28 26 24 21 21 20 23 27 28 25 19 15 15 19 23 28 34 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
26 22 22 32 52 77 83 83 72 58 50 48 46 42 44 54 63 67 67 65 64 66 72 74 71 72 81 83 86 98 99 93 83 76 74 80 95 111 125 135 131 119 106 101 104 114 108 85 60 36 24 41 80 98 91 77 64 50 37 26 18 14 13 11 7 4 1 0 2 6 14 22 23 18 15 16 20 23 20 16 14 15 18 18 15 11 10 11 13 14 14 13 12 10 7 5 5 5 6 6 5 3 1 1 2 3 3 4 4 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 1 0 0 0 0 0 0 0 1 2 4 2 0 0 0 0 0 1 3 11 15 13 12 11 10 10 8 6 5 4 5 7 8 7 6 5 5 5 6 6 4 2 0 0 3 4 2 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 8 8 7 7 9 9 8 8 8 10 12 13 14 16 16 15 10 6 6 5 1 0 0 0 0 3 10 19 28 38 51 65 78 90 98 103 109 117 118 103 73 46 36 39 46 48 43 36 30 25 22 24 32 47 60 61 54 48 51 57 60 55 42 26 18 16 20 31 43 48 30 18 12 11 12 11 6 2 6 16 25 21 14 13 9 4 5 7 9 16 29 35 30 28 40 55 80 88 75 57 35 22 27 51 76 81 73 62 42 31 28 26 23 24 27 30 33 34 32 26 21 19 22 23 26 28 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
40 33 28 27 33 51 63 87 91 74 58 48 41 31 23 23 28 37 44 50 50 47 46 49 57 70 77 70 51 50 70 82 80 74 72 77 88 101 115 131 141 137 122 108 108 127 96 44 16 8 19 52 98 119 110 94 86 72 55 38 24 16 12 11 7 3 0 1 6 14 28 38 35 23 12 10 15 22 22 18 17 19 20 20 19 18 16 14 13 14 14 14 12 11 10 7 6 6 6 6 5 3 1 1 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 4 2 0 0 0 0 0 1 7 16 20 16 12 11 12 11 10 8 6 5 6 8 8 8 7 5 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 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 1 1 0 0 1 2 2 3 3 4 6 7 8 9 10 12 11 9 7 8 8 5 2 1 0 0 2 8 15 24 34 46 58 70 80 93 106 121 133 136 122 94 70 61 63 64 58 49 43 39 34 26 19 21 34 49 59 61 56 50 50 56 65 67 58 42 32 24 24 36 52 48 35 24 18 14 9 4 1 1 6 17 21 17 16 13 9 14 22 26 27 28 26 15 7 13 25 49 81 92 78 47 17 13 39 80 96 91 80 57 38 31 27 25 30 37 39 39 40 39 35 32 30 30 28 27 26 25 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
52 44 38 35 32 38 56 86 102 90 70 52 37 26 19 16 16 19 25 35 40 30 22 21 28 46 69 74 53 26 23 49 72 74 70 73 82 90 99 112 128 138 127 94 75 91 87 34 7 13 43 85 118 125 111 90 84 81 70 52 35 22 15 11 7 2 0 2 9 20 38 47 41 23 9 5 10 20 24 20 20 24 23 23 22 23 22 17 13 13 14 14 12 10 9 9 8 7 6 6 5 4 1 1 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 2 0 0 0 0 0 1 9 18 19 14 10 10 11 11 10 9 6 6 7 8 8 8 6 6 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 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 7 8 9 9 11 12 13 12 5 1 0 2 8 16 24 32 42 54 65 76 86 98 112 132 145 145 124 96 81 79 75 63 51 46 47 48 41 30 26 32 42 52 58 55 45 34 33 42 55 69 75 63 47 34 34 50 60 55 41 30 22 10 4 0 0 1 10 16 13 8 4 4 11 25 35 36 32 26 15 6 4 8 19 56 90 92 64 27 13 30 70 95 96 86 65 44 33 28 28 38 47 46 44 44 43 42 41 40 38 35 31 26 24 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
58 51 48 44 39 37 45 68 87 87 70 46 32 25 20 16 13 13 16 25 32 24 13 6 7 18 52 81 74 37 13 29 62 86 79 72 79 83 84 84 93 117 121 82 42 43 84 73 43 46 83 117 127 120 102 84 76 78 75 61 44 31 21 14 8 4 1 3 11 24 41 48 38 17 4 2 9 21 26 23 20 20 22 25 26 26 24 20 15 13 13 12 10 8 8 9 10 9 8 6 5 4 3 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 2 11 18 16 10 6 6 9 11 12 10 7 6 7 7 7 6 5 6 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 1 3 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 7 8 10 12 15 17 12 6 3 4 10 19 27 34 42 52 63 73 83 93 103 120 138 151 148 126 104 91 80 65 52 45 45 50 51 45 40 40 45 51 55 52 42 25 13 14 19 37 65 77 70 53 45 53 66 69 54 41 32 16 9 4 2 3 8 13 11 4 0 0 3 10 24 29 39 35 22 11 4 5 15 40 74 90 76 35 11 20 57 87 94 84 66 48 35 28 30 43 52 51 49 47 45 44 45 44 42 40 37 31 25 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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