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 2 2 2 4 5 5 5 4 4 2 1 2 3 3 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 2 3 4 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 4 4 3 3 4 5 5 3 3 4 4 2 1 2 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 5 5 5 4 5 5 5 5 5 5 4 5 6 6 5 4 5 6 6 6 6 5 5 5 4 4 5 5 6 7 7 6 5 6 6 5 4 5 6 6 6 4 3 2 -0 2 6 6 7 6 -0 1 6 5 5 4 3 5 2 1 9 16 15 13 13 8 6 8 10 10 12 14 12 8 8 11 11 8 5 4 4 4 5 4 4 6 7 8 8 10 9 7 4 2 1 3 6 7 4 1 2 3 3 3 4 6 7 9 9 8 9 12 16 17 14 10 7 5 4 3 4 4 4 3 3 4 4 5 5 5 5 5 5 5 4 5 5 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 4 7 9 10 11 11 8 5 4 4 4 4 5 4 4 4 4 4 5 5 5 4 5 4 4 5 5 5 1 -3 1 7 5 2 3 3 3 4 5 6 5 5 7 10 9 6 4 6 7 7 7 6 5 6 7 7 6 6 6 5 5 6 6 7 7 7 7 8 7 6 6 6 5 5 5 5 4 4 4 4 5 6 6 6 5 6 6 6 6 7 7 8 9 9 10 10 10 10 10 9 9 9 9 10 12 16 21 18 14 11 9 8 8 6 2 -3 -4 -6 -4 1 6 5 0 -0 2 2 -0 -3 -6 -8 -8 -5 0 5 9 11 12 12 11 8 7 8 8 9 15 17 14 10 8 7 6 4 4 6 9 8 7 8 7 6 6 7 8 8 7 8 9 9 8 8 8 9 9 8 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 2 2 2 3 4 5 5 5 4 3 2 2 2 3 3 4 3 3 3 3 3 2 2 3 3 3 2 2 3 3 2 2 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 4 4 3 3 4 4 4 3 2 2 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 2 1 1 2 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 4 4 4 4 4 4 3 4 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 5 5 6 6 6 6 6 6 6 7 6 6 6 5 5 5 5 6 6 7 7 7 6 6 6 5 5 5 5 6 6 4 3 2 0 3 8 9 10 9 7 10 9 5 5 3 4 11 14 11 11 15 17 19 21 18 14 14 14 14 15 14 10 7 9 13 16 12 6 5 6 8 8 5 4 6 7 7 10 11 9 6 4 2 0 1 5 7 3 1 2 1 2 6 7 7 7 9 9 7 7 9 11 12 10 7 5 5 4 3 3 3 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 3 3 2 2 4 6 7 8 10 10 9 6 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 4 5 5 5 5 0 -5 1 8 6 1 0 2 3 4 5 5 5 5 7 8 9 6 4 5 6 6 6 5 4 5 6 7 7 6 6 6 6 6 6 7 7 7 9 9 8 7 6 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 8 8 9 12 17 18 16 13 11 11 10 8 7 6 2 2 4 5 7 8 6 5 5 5 3 0 -6 -11 -11 -8 -2 4 8 10 10 11 11 10 10 10 10 12 15 13 10 8 7 6 5 4 4 5 6 5 5 6 6 6 7 8 9 9 9 9 8 7 6 5 7 8 9 9 8 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 2 2 2 2 3 4 5 5 5 4 3 2 2 2 2 2 3 3 4 4 3 3 3 4 3 3 2 2 2 2 2 2 2 3 3 3 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 4 3 3 4 4 4 4 3 3 3 3 4 3 2 3 3 2 3 4 3 3 3 3 2 2 1 1 2 4 5 4 3 3 3 4 4 4 4 4 3 3 4 4 3 3 4 4 4 4 4 3 4 4 4 5 5 4 4 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 5 5 6 7 6 6 6 6 7 8 7 7 7 6 6 6 6 6 7 7 8 8 7 6 6 6 5 5 5 5 5 5 4 2 3 6 4 5 8 10 11 10 7 6 6 4 7 19 25 16 8 7 9 12 14 13 11 11 12 12 12 9 5 4 7 13 18 14 8 7 9 11 12 11 12 10 7 5 8 10 9 8 6 5 3 3 5 4 3 3 1 -0 3 7 8 7 6 6 6 5 5 5 7 9 8 6 5 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 3 3 4 3 3 3 3 3 2 2 2 1 2 4 6 8 10 10 8 6 4 4 4 4 4 4 4 3 4 3 3 3 3 4 4 5 5 5 5 5 3 -4 -5 4 8 2 -3 0 2 3 4 5 5 6 6 7 7 6 6 5 6 6 5 4 4 5 5 6 6 6 6 6 6 6 6 6 7 8 10 12 10 8 6 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 8 10 12 13 13 11 10 10 10 8 7 7 8 9 9 8 7 7 8 8 6 5 3 2 -1 -1 3 7 9 9 7 7 7 8 9 9 10 10 10 10 9 7 6 5 5 5 4 4 4 4 5 5 5 6 8 9 9 9 9 8 8 7 6 5 5 6 7 8 9 8 6 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 6 3 2 2 2 2 2 3 4 5 5 5 4 3 2 2 1 1 2 2 3 4 4 4 4 4 4 3 3 3 3 3 2 1 1 2 2 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 5 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 2 1 2 4 5 3 3 3 3 3 4 4 4 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 5 5 4 4 5 5 6 6 7 7 7 7 8 8 8 8 7 7 7 6 6 6 7 7 8 8 7 6 6 6 5 5 5 5 5 5 4 -1 -5 -4 -3 -1 2 7 7 2 3 8 11 8 9 16 17 9 5 3 2 2 2 4 5 5 5 4 5 5 1 -1 2 10 14 12 10 11 12 13 15 19 22 16 8 5 5 7 10 12 9 6 5 5 3 0 2 3 1 2 6 9 9 8 6 5 5 4 4 5 6 6 6 5 4 4 3 3 4 3 3 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 3 3 3 3 3 3 3 3 2 2 1 0 1 2 4 7 10 12 9 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 5 2 -6 -5 7 9 -1 -3 2 3 4 4 5 6 6 5 6 6 6 6 6 6 5 4 3 4 5 5 6 6 6 5 5 5 6 6 6 8 11 15 13 9 6 6 5 6 6 6 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 4 3 3 3 3 3 4 5 6 7 9 9 8 8 9 8 8 7 7 10 12 10 7 6 7 7 8 8 6 6 6 7 10 11 8 6 5 4 4 5 5 6 7 7 7 6 6 5 4 4 5 5 5 4 4 4 4 5 5 7 7 8 8 8 9 8 7 7 6 5 4 5 6 8 8 7 6 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 7 5 3 2 3 3 2 2 2 4 6 6 5 4 3 2 1 1 0 1 2 3 4 4 4 4 4 4 4 4 4 3 2 1 2 3 3 3 4 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 2 1 3 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 5 6 5 5 5 5 5 6 7 7 7 7 9 9 9 9 8 8 7 7 6 6 7 7 7 8 8 7 7 7 6 6 6 6 5 5 3 -4 -17 -20 -7 1 1 3 1 -2 2 10 11 8 6 7 6 4 5 5 4 3 4 5 3 1 0 -1 -1 1 2 2 3 6 9 7 6 9 11 12 13 17 19 15 9 6 5 4 10 14 9 4 3 2 -0 0 4 4 4 6 9 10 9 7 5 4 4 4 4 6 6 5 5 4 4 3 3 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 3 3 3 3 3 3 3 2 1 0 -0 -0 -0 2 5 9 13 11 6 5 5 5 5 4 4 3 3 3 2 3 3 3 3 4 5 6 6 6 6 6 5 -1 -8 -2 9 6 -0 3 4 4 4 4 5 6 6 6 6 6 6 6 6 5 4 3 3 4 5 5 5 5 5 5 5 5 5 6 7 9 12 12 9 6 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 2 1 0 0 0 1 2 3 3 5 6 6 6 7 7 7 6 5 8 11 11 10 8 6 7 10 13 12 12 11 10 9 8 7 4 4 3 4 4 3 3 3 4 5 6 7 5 4 5 5 5 5 4 4 4 3 4 4 5 6 6 7 8 8 8 8 8 7 5 4 4 5 7 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 7 6 4 3 3 3 3 2 1 2 5 6 7 5 4 4 2 1 1 1 1 2 3 3 3 3 3 4 4 5 5 4 2 1 2 3 4 4 4 4 3 3 4 4 4 4 4 3 3 4 4 5 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 2 3 5 6 5 4 3 3 3 3 3 3 3 3 3 4 3 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 4 4 4 4 3 4 3 4 5 7 6 5 5 5 6 6 7 7 8 9 10 10 10 9 9 8 7 7 6 6 6 7 7 8 8 7 7 7 6 6 6 6 5 5 4 -2 -11 -12 -1 5 3 3 2 4 7 9 7 5 4 4 5 6 6 6 5 7 8 7 4 1 1 0 -0 0 5 10 9 5 4 2 0 3 7 7 6 7 9 8 7 6 4 1 4 7 3 1 0 -0 2 5 6 5 6 8 11 11 8 6 5 5 4 4 4 5 5 5 4 4 4 3 3 4 3 3 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 2 2 0 -0 -1 -1 -1 0 3 7 12 13 7 5 5 5 5 5 4 4 4 3 3 4 4 4 4 4 5 6 7 7 6 6 5 3 -4 -8 -3 4 4 4 5 6 5 4 4 5 6 6 6 6 6 6 6 5 4 3 3 3 4 4 5 5 4 4 4 4 5 6 6 8 8 8 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 2 2 2 2 2 0 -1 -2 -2 -0 0 1 2 2 4 4 5 6 7 6 6 4 5 8 10 11 12 10 9 13 15 17 15 11 8 7 7 7 6 5 4 4 4 3 2 1 2 5 9 10 7 4 4 4 4 3 3 3 3 4 4 3 4 4 4 5 6 7 9 9 8 7 5 4 5 5 6 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 5 7 6 4 4 4 4 4 3 3 3 4 6 6 6 6 4 2 2 2 2 2 2 3 3 3 3 2 3 4 5 5 4 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 5 6 6 4 4 3 3 3 4 3 3 3 3 3 4 3 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 5 7 7 6 5 5 6 7 8 8 9 9 10 11 10 10 9 7 7 6 6 6 6 6 6 7 8 8 7 7 7 6 6 5 5 5 5 3 -0 2 8 8 2 1 10 17 13 6 4 5 7 7 7 7 6 4 3 6 10 11 10 7 6 6 5 3 6 10 8 4 2 -2 -3 -2 1 3 2 2 2 2 2 1 -1 -3 -1 0 -1 1 3 2 4 6 6 7 8 10 9 8 7 6 5 5 4 5 6 5 5 4 3 4 4 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 3 2 2 1 1 -0 -1 -0 -0 -1 0 4 11 16 11 5 4 4 5 6 5 4 4 4 5 5 6 6 5 5 5 6 6 6 6 6 5 5 2 -5 -10 -6 2 4 5 7 7 5 4 4 5 6 6 6 6 6 6 6 5 4 3 3 3 4 4 4 4 3 4 4 4 5 6 6 7 6 6 7 6 6 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 2 1 1 2 1 -0 -1 -0 1 2 2 2 3 3 4 5 5 5 5 6 6 5 6 7 9 11 10 11 12 13 13 9 7 6 6 6 6 6 6 6 5 3 2 2 1 3 7 10 12 8 4 4 3 2 2 3 4 4 4 4 3 3 4 3 3 5 7 8 8 7 7 6 5 5 5 5 6 6 7 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 4 5 6 6 5 4 3 4 5 5 4 3 3 4 4 5 7 6 4 3 3 3 2 2 3 3 3 3 2 2 3 5 5 4 3 2 3 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 5 6 5 4 4 4 4 4 4 4 4 3 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 5 5 4 4 4 3 3 4 5 6 7 6 6 5 5 6 7 8 9 9 9 10 10 10 9 8 7 6 5 5 6 6 6 7 7 8 7 7 8 7 7 6 6 5 6 6 6 4 1 4 6 5 7 17 18 11 6 6 6 7 6 4 5 5 2 1 2 7 13 15 14 12 10 8 5 5 6 4 3 1 -4 -6 -4 -1 3 4 3 2 1 1 -2 -8 -5 6 7 2 3 5 4 3 6 8 7 9 10 9 7 6 6 5 4 4 6 8 6 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 6 5 4 4 4 3 3 3 3 3 2 1 1 1 0 0 2 7 18 17 8 5 4 4 4 5 5 5 5 6 7 8 8 7 7 7 6 6 6 6 5 5 6 5 1 -6 -9 -2 3 4 6 7 7 5 4 5 5 6 6 6 6 6 6 6 5 4 3 3 4 4 4 4 3 3 3 3 5 5 6 6 6 7 7 7 6 6 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 1 0 1 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 6 7 7 7 6 6 7 7 9 9 8 6 5 6 6 6 6 6 5 5 5 5 3 2 0 0 4 8 10 11 8 4 3 3 2 2 3 4 5 5 5 4 3 4 3 4 5 6 7 7 7 6 5 5 4 4 5 5 6 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 6 6 6 6 4 3 3 4 5 6 5 4 3 2 3 5 6 6 5 3 3 3 2 2 2 2 2 2 2 3 4 5 4 3 2 3 4 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 4 4 4 4 5 5 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 6 7 7 7 6 6 6 7 8 8 9 8 9 10 10 9 8 7 5 5 5 5 6 6 6 7 7 8 7 7 8 8 7 6 6 6 6 7 6 4 -1 -4 -0 9 18 19 10 4 3 5 5 4 1 -1 2 5 3 1 -1 1 8 13 13 12 11 7 5 4 4 4 4 2 -4 -7 -4 -0 5 9 7 6 5 5 3 -2 1 8 5 3 4 3 3 1 6 10 10 10 11 10 8 5 5 4 3 4 6 7 6 3 2 2 3 3 3 3 3 3 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 3 3 4 4 4 4 3 3 2 2 1 2 4 11 18 15 9 6 5 5 5 6 7 7 7 7 8 9 10 9 8 7 6 6 7 6 5 5 5 4 -1 -7 -3 3 4 5 6 7 6 5 4 4 4 4 5 6 6 6 6 5 5 4 3 3 4 4 4 3 2 1 1 3 5 5 5 5 6 7 7 7 7 6 6 5 5 4 3 4 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 1 -1 -0 2 4 4 3 4 4 3 3 4 4 4 4 5 5 5 6 7 7 8 9 8 6 6 6 6 5 5 5 6 6 6 6 6 5 5 5 5 4 3 1 -1 2 7 9 9 7 4 2 2 1 2 4 4 5 5 5 5 4 4 5 4 5 6 6 6 6 6 5 4 4 3 4 5 5 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 11 10 8 7 7 7 6 4 3 2 4 5 6 6 5 3 2 3 6 7 6 5 3 2 2 1 1 2 2 2 2 3 3 3 3 2 3 3 3 4 4 3 3 4 4 4 4 5 4 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 5 5 4 4 4 4 3 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 7 6 6 6 7 7 8 9 9 8 9 9 9 9 8 7 5 4 4 5 5 6 7 7 8 8 7 7 7 8 7 6 6 6 7 7 7 6 3 -2 -1 10 19 14 5 3 3 2 -0 -3 -3 -0 3 5 5 4 1 -1 3 6 6 8 8 6 4 2 2 3 6 5 2 -1 -0 2 8 12 10 7 6 5 2 3 9 6 -1 0 1 1 1 -1 3 10 13 13 12 9 5 2 3 4 3 3 5 6 5 3 3 2 3 3 3 3 3 3 4 4 5 5 5 4 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 4 5 4 3 3 3 3 5 10 15 13 11 9 8 8 8 8 8 8 8 7 7 9 9 9 8 7 6 7 7 7 6 6 5 1 -3 -3 2 4 4 5 5 6 6 5 4 3 3 4 4 5 5 5 5 5 4 3 3 4 4 4 4 3 1 -1 -0 3 5 6 5 6 6 6 7 7 7 7 7 6 6 5 4 4 5 5 4 4 4 4 4 4 4 4 3 4 4 4 3 2 1 -1 0 3 3 3 4 3 3 3 4 4 4 5 5 6 7 8 7 7 7 9 12 11 8 6 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 5 4 4 5 7 7 6 5 3 2 2 2 3 4 5 5 5 5 5 4 4 4 5 5 5 6 7 7 5 5 4 4 3 4 4 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 10 10 9 8 8 8 6 4 2 2 3 5 7 7 5 3 2 3 5 6 6 5 4 3 1 1 1 2 2 2 2 3 3 3 3 3 3 2 3 2 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 4 4 4 3 3 3 3 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 5 6 6 6 5 6 6 7 7 8 9 9 9 9 10 9 9 8 7 5 4 3 4 5 6 7 7 8 8 8 7 7 8 7 6 6 6 7 8 7 6 5 4 4 13 16 10 6 5 3 2 1 -2 -2 1 3 3 3 4 4 1 1 2 2 3 4 4 2 1 1 3 6 7 7 6 4 5 9 11 9 4 2 0 -4 3 12 7 1 1 0 -2 -4 -3 3 9 12 12 10 6 2 3 5 5 3 3 5 5 4 3 3 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 6 6 6 6 6 6 6 6 5 5 5 4 5 5 4 5 5 5 5 5 4 4 3 3 5 8 10 10 10 10 11 10 9 9 10 12 9 6 6 7 7 8 8 8 8 8 8 7 7 6 2 -1 -1 3 3 3 4 4 4 5 6 6 4 2 2 3 3 4 3 4 4 4 3 3 3 3 4 5 5 3 -1 -4 -3 1 5 5 5 6 6 7 7 7 7 8 8 8 7 6 4 4 3 4 4 4 3 3 3 3 2 2 2 3 3 4 2 1 0 1 1 2 3 3 4 4 4 5 5 5 6 6 7 8 9 9 8 7 9 10 9 7 6 6 6 6 6 7 6 6 6 6 6 6 6 5 6 7 6 7 9 8 6 6 6 5 4 5 5 3 2 3 5 5 5 5 5 5 4 3 3 4 5 4 5 6 6 6 5 5 4 3 3 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 8 8 9 9 9 9 8 6 4 3 2 3 5 7 7 5 3 3 3 4 6 6 6 4 2 1 1 1 1 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 5 5 5 4 4 5 6 6 6 5 5 5 6 7 7 8 9 9 9 9 9 9 9 9 8 7 5 3 3 4 6 6 7 8 8 8 8 8 7 7 7 6 6 7 7 7 6 5 6 9 16 18 11 7 2 -2 1 4 3 1 0 1 0 0 2 3 3 1 -0 -0 1 3 3 3 2 4 7 9 7 6 6 4 5 8 9 5 -1 -3 -1 -3 4 10 4 -1 2 8 7 -1 -1 6 11 11 10 7 4 3 6 7 5 2 3 5 6 5 3 3 3 3 3 3 2 2 3 3 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 8 8 8 8 8 11 13 12 9 6 4 4 5 8 9 8 8 8 9 9 7 3 -1 1 4 4 3 3 3 3 3 4 6 7 4 3 2 3 2 2 2 3 4 4 3 3 3 3 5 6 6 2 -3 -9 -8 -1 4 5 6 6 6 6 6 7 7 7 8 8 8 7 4 1 1 1 2 2 2 1 1 1 0 0 0 -0 2 3 3 3 1 0 2 3 3 4 5 4 5 6 5 6 8 7 7 9 9 8 6 7 7 7 6 6 6 6 6 6 7 7 7 7 6 7 7 6 5 6 7 7 7 7 6 6 7 7 6 4 6 8 5 4 5 7 6 6 5 5 5 5 4 3 3 4 5 4 5 5 5 5 5 5 4 3 4 3 3 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 5 6 7 7 7 8 8 8 7 6 4 3 3 5 6 6 5 4 3 3 4 6 7 6 5 2 1 1 1 0 1 2 2 2 3 4 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 4 5 5 4 4 4 5 5 5 4 5 4 5 6 6 5 5 5 5 6 7 7 7 9 10 10 9 9 8 8 9 9 8 6 4 4 5 6 7 7 7 8 9 8 8 8 9 8 6 6 7 7 7 6 7 8 8 9 10 7 2 -6 -3 1 4 1 -1 -0 3 2 2 1 -0 1 1 -1 -1 2 5 6 6 7 12 14 12 8 4 2 2 4 5 4 2 -1 -3 0 3 6 6 2 1 2 13 15 7 5 9 12 11 9 6 4 5 7 7 4 2 3 6 6 5 3 3 3 3 2 3 2 2 3 3 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 4 4 5 6 6 8 9 9 10 9 7 5 4 5 7 6 5 6 9 10 9 4 0 3 4 4 3 3 3 3 3 3 4 5 7 6 3 2 3 2 -0 -0 2 4 3 2 2 2 4 6 8 8 4 -4 -10 -8 -1 4 5 6 5 5 6 6 6 6 6 8 9 9 6 2 -2 -4 -3 -1 -1 -2 -2 -1 -1 -1 -2 -2 1 4 4 3 2 2 3 3 3 4 6 5 5 5 4 4 5 6 6 6 6 7 7 7 7 8 7 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 6 7 6 5 4 6 6 6 5 5 6 7 6 5 6 7 8 7 6 5 5 6 5 4 3 4 5 4 4 4 5 5 6 6 5 3 4 4 3 3 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 4 4 5 6 6 6 7 8 8 7 5 4 4 5 6 6 5 4 3 3 4 6 7 7 6 3 2 1 0 0 0 0 2 3 3 4 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 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 4 5 6 7 7 8 10 11 10 9 8 7 7 8 9 9 7 5 5 5 6 7 7 7 8 8 8 8 8 9 8 6 6 6 7 6 7 10 8 4 -2 -3 2 -3 -6 2 3 3 -1 -1 2 9 7 4 2 -1 0 2 1 -1 3 8 10 11 11 13 13 9 7 4 1 0 3 2 0 1 2 1 2 4 5 3 2 2 2 10 11 8 10 12 12 10 7 6 5 6 7 6 3 2 4 7 6 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 5 5 5 5 5 5 4 5 6 6 5 4 3 3 3 3 3 4 5 5 4 4 6 8 9 10 8 5 4 3 3 3 4 6 7 5 3 3 3 3 3 3 3 4 3 3 2 3 6 8 8 4 3 5 1 -4 -3 1 3 3 2 2 2 4 8 12 11 6 -0 -5 -3 2 4 4 4 4 4 4 4 4 5 6 7 8 9 7 3 -4 -8 -7 -4 -4 -5 -2 -0 -1 -1 0 1 3 5 4 3 4 6 6 5 5 7 8 7 5 4 3 3 4 5 6 6 6 7 7 8 8 8 7 6 5 6 6 6 7 6 7 7 7 6 6 6 5 6 6 6 7 7 7 6 7 6 5 4 5 6 4 4 5 7 7 7 6 7 7 6 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 3 3 3 3 3 4 4 4 5 6 8 8 8 7 5 4 4 6 6 6 5 4 3 4 6 7 7 6 5 4 2 1 0 0 1 1 1 3 4 4 4 4 4 4 3 3 3 2 3 3 3 2 3 3 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 7 8 9 10 11 10 9 8 7 7 7 8 9 8 7 6 6 6 7 7 7 8 8 8 8 7 7 7 7 6 6 6 7 8 10 8 3 -1 -0 4 -1 1 8 6 2 -0 0 9 16 9 3 0 -0 2 6 6 3 4 10 13 13 13 12 9 6 6 4 2 1 3 2 2 5 4 2 2 3 3 2 4 4 1 5 6 5 9 13 12 8 6 5 6 7 6 4 2 2 5 7 6 4 3 3 3 4 4 4 4 3 3 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 4 3 2 3 4 5 5 4 3 2 2 4 6 8 9 8 4 3 2 3 3 3 4 3 3 3 3 2 2 3 3 4 4 3 2 2 3 7 11 9 4 7 8 -2 -10 -7 -0 3 3 2 2 3 6 11 14 10 6 4 1 1 2 2 2 3 3 3 2 4 4 3 4 6 8 11 12 7 -4 -11 -8 -4 -3 -1 2 2 2 3 3 3 5 6 5 4 6 7 5 6 8 10 9 6 5 4 4 4 4 5 6 5 6 6 7 7 7 7 6 6 6 6 6 6 6 7 7 7 6 6 7 6 6 6 6 7 8 7 7 8 8 6 4 5 6 3 2 4 6 7 7 7 7 7 6 5 3 4 4 5 5 5 4 4 4 5 5 5 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 nan nan 3 4 3 3 3 3 3 2 2 3 4 5 6 8 8 7 5 4 5 6 7 7 5 4 3 4 5 6 8 8 7 5 4 2 1 1 0 1 2 3 4 4 4 3 3 3 3 3 2 3 3 2 3 2 2 2 2 2 3 3 3 3 2 2 3 3 3 2 2 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 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 4 4 4 4 5 5 5 5 4 4 5 5 5 5 7 8 9 10 10 10 9 8 7 5 6 7 8 9 8 7 7 7 7 8 8 8 9 9 8 7 6 6 6 5 5 6 7 9 10 6 4 5 11 10 2 5 8 9 3 0 1 12 16 7 1 -1 2 6 9 8 4 4 9 14 14 12 10 7 5 4 4 3 3 4 4 4 5 2 1 2 3 3 5 6 4 2 3 5 4 8 11 10 7 6 6 6 5 5 4 3 4 6 7 5 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 6 6 6 5 5 5 5 4 4 5 4 5 5 5 5 5 5 6 7 7 7 6 5 3 3 3 4 5 5 4 4 3 2 1 3 5 9 10 7 4 3 3 4 4 3 3 4 3 4 3 2 2 2 3 4 4 3 2 2 4 10 13 7 8 15 8 -7 -13 -8 1 4 3 3 2 3 7 11 11 7 4 3 2 1 1 1 2 1 1 1 3 3 1 1 2 5 9 16 19 8 -6 -7 0 2 2 2 3 4 4 4 4 5 6 5 5 5 5 6 4 1 5 6 4 4 4 4 5 5 5 5 5 4 4 4 5 6 7 7 7 6 6 5 5 6 6 7 7 7 7 7 8 7 7 7 7 6 7 8 8 8 8 6 5 5 4 5 6 6 7 8 7 7 7 7 7 5 4 5 6 7 5 5 4 3 3 5 5 6 7 7 6 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 3 4 4 4 4 3 3 2 2 2 3 3 4 6 7 7 6 5 5 5 7 7 7 6 4 3 4 5 6 7 8 7 5 5 4 3 2 2 1 2 3 3 3 3 3 3 2 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 2 2 3 3 3 3 2 3 3 3 3 2 2 3 2 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 5 6 5 6 7 10 11 12 10 8 9 8 7 4 4 5 7 8 8 8 7 7 7 8 9 10 10 9 8 7 7 6 5 5 5 5 6 9 9 6 5 8 14 10 2 8 10 7 4 -2 -2 8 11 6 4 4 7 9 7 4 2 3 8 12 12 10 7 5 4 4 4 4 5 6 5 3 -0 -2 3 6 4 3 6 7 4 1 2 5 6 8 9 7 6 5 6 6 4 5 5 4 6 8 7 5 3 3 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 7 7 7 5 4 3 3 4 5 4 4 4 3 2 1 2 4 7 9 9 7 5 4 4 5 4 4 4 5 5 5 4 3 3 2 3 4 4 3 3 3 6 10 9 11 19 17 5 -6 -10 -5 2 3 3 2 2 3 5 7 5 2 2 3 2 1 2 2 -0 -1 -1 0 1 0 -1 -1 1 6 12 17 14 4 1 4 4 3 3 4 5 5 5 5 5 6 5 4 3 3 6 4 -1 1 3 2 2 3 3 4 5 5 5 5 4 3 3 4 4 5 6 7 7 7 6 5 6 6 7 7 7 7 7 7 8 8 8 6 6 6 8 9 10 9 8 6 5 7 8 8 8 8 8 8 8 8 8 9 8 7 6 6 7 6 5 3 2 3 4 5 5 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 nan nan 2 3 3 4 5 4 4 4 3 3 2 3 3 3 5 6 7 6 6 5 5 6 7 8 7 5 4 3 4 4 5 5 6 6 6 6 6 5 4 3 3 3 3 4 3 2 2 2 2 3 3 3 3 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 4 5 5 5 4 4 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 6 6 6 8 10 12 13 10 8 7 8 7 4 2 3 4 5 7 8 8 8 9 10 10 11 11 10 8 8 8 6 4 4 4 5 6 8 8 6 9 13 14 9 1 3 8 5 8 1 3 5 5 7 9 12 14 12 4 -2 -0 2 5 9 10 8 5 4 4 4 4 4 5 6 6 3 -1 -1 3 5 3 3 5 6 4 2 4 6 7 7 7 6 6 5 5 4 3 4 5 6 7 7 5 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 5 5 6 7 7 6 5 4 4 4 5 5 4 4 3 2 1 2 3 6 8 9 9 7 6 5 5 4 4 4 5 6 6 6 5 3 3 2 3 3 3 3 3 4 5 7 10 18 20 12 3 -4 -6 -0 3 2 -0 -1 0 1 2 1 0 1 3 2 2 4 4 1 -1 -3 -2 -0 1 -0 -0 2 5 7 10 11 8 5 4 4 4 5 7 6 5 5 6 6 5 4 2 1 2 6 5 4 4 3 2 2 2 3 3 4 4 5 4 4 4 3 3 3 4 5 6 7 7 8 7 6 7 7 7 7 7 7 7 7 8 7 7 6 7 8 8 9 10 9 7 7 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 5 3 2 3 5 5 5 7 7 7 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 3 3 4 5 4 4 4 3 3 2 3 3 4 5 5 6 6 6 6 6 7 8 8 7 5 4 4 3 3 4 4 5 6 7 7 6 5 4 4 4 4 4 4 4 3 2 3 3 2 3 2 2 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 6 6 6 7 9 11 13 14 11 8 7 7 6 3 1 2 3 3 4 6 8 9 10 11 11 12 12 11 9 9 8 6 5 4 5 5 7 8 7 7 12 16 15 8 -1 -2 1 3 9 12 12 5 2 8 11 14 15 11 0 -8 -1 4 4 6 7 7 5 3 2 2 2 3 3 4 5 4 2 2 2 3 3 4 4 5 6 6 7 7 6 6 7 5 5 5 4 3 3 3 5 7 8 7 5 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 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 4 4 4 4 5 4 5 5 5 4 3 4 6 6 7 6 5 5 5 5 5 5 5 4 2 1 1 2 4 5 6 6 7 8 8 7 5 3 3 3 4 5 6 7 6 4 3 2 2 2 3 3 3 4 4 4 7 14 20 16 7 2 -1 2 3 2 -1 -3 -1 -1 0 1 1 1 2 2 3 5 5 3 0 -0 -0 1 2 2 2 3 4 5 6 7 7 6 5 6 6 6 7 6 5 7 7 5 3 3 4 2 1 4 6 6 6 5 4 3 3 3 3 4 4 4 5 5 4 3 3 4 4 4 5 5 6 7 7 7 7 6 7 7 8 8 8 7 7 7 6 5 6 7 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 7 6 7 6 6 6 7 7 6 5 4 4 5 5 6 7 8 7 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 2 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 6 6 6 7 8 8 7 6 4 3 3 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 6 7 6 7 9 12 15 15 12 9 8 6 5 3 2 2 3 3 3 4 7 9 11 11 12 13 13 12 11 10 8 6 5 5 5 6 9 9 7 7 11 15 12 7 -0 -2 -0 -1 3 17 16 4 2 4 5 8 10 6 -1 -6 4 8 4 4 5 5 4 3 3 3 2 1 2 3 5 4 3 3 3 3 3 3 3 5 8 10 9 7 6 6 7 6 5 5 4 3 2 3 5 7 8 6 4 3 3 3 3 3 3 3 3 3 4 4 4 5 4 5 5 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 4 4 5 4 4 4 5 5 3 3 4 6 6 6 6 6 5 5 5 5 5 5 4 2 1 1 3 4 4 4 3 3 6 10 11 7 3 2 2 2 4 5 6 6 5 3 2 1 2 2 3 3 4 4 4 5 9 18 20 13 6 4 5 6 4 2 -0 -2 -3 -1 2 3 2 2 3 4 4 4 3 3 2 1 1 1 2 3 3 3 3 4 5 6 7 6 7 8 7 5 4 6 9 6 4 3 4 7 4 1 3 5 5 6 6 6 6 6 5 4 4 4 3 4 4 5 5 4 4 4 4 5 5 5 6 7 7 7 6 5 6 7 8 8 8 8 7 6 5 5 6 7 7 7 8 9 9 9 9 8 7 7 7 7 7 8 8 7 7 7 6 7 8 8 8 7 5 5 5 5 6 7 7 6 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 2 2 2 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 6 7 8 8 7 5 4 4 5 5 5 5 5 6 6 6 5 5 5 5 6 6 5 5 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 5 5 5 5 4 4 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 7 10 14 16 15 14 11 9 7 5 4 3 3 3 4 3 3 6 9 11 11 12 13 14 13 12 10 8 6 5 5 6 7 9 9 8 7 12 14 10 6 2 0 2 -0 1 17 15 7 3 -1 -3 0 4 2 2 5 12 11 5 3 4 4 3 3 6 7 5 2 2 3 4 3 3 4 4 3 3 3 3 4 8 11 11 7 6 7 7 5 4 5 4 2 2 4 6 8 8 5 4 3 3 3 4 4 3 3 3 3 4 4 4 4 5 5 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 4 4 4 4 3 3 4 7 7 6 6 6 6 5 5 5 5 5 4 3 2 2 3 4 4 3 2 2 4 9 12 11 7 4 3 2 2 4 6 6 5 4 3 2 2 2 3 3 3 3 4 4 5 10 17 18 12 7 7 7 6 5 3 1 -2 -3 1 5 4 3 4 4 3 4 5 4 2 1 1 -0 0 3 4 3 2 3 4 5 6 7 7 7 6 4 4 7 8 6 6 5 6 7 5 4 5 5 5 4 5 6 7 9 9 7 5 4 3 3 4 6 7 7 6 6 5 5 5 5 5 6 6 6 6 5 4 5 7 7 8 7 7 8 7 6 6 7 7 7 8 8 8 8 9 8 7 7 7 6 6 8 9 8 8 8 8 8 8 9 8 8 6 4 4 5 5 5 6 7 6 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 1 1 1 1 2 2 2 3 3 4 4 3 3 4 4 4 4 4 5 5 4 3 4 4 4 5 6 8 7 6 6 6 6 6 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 5 5 5 5 6 6 6 7 9 15 19 19 16 14 12 10 7 6 4 3 2 2 3 4 4 6 9 11 11 12 13 15 14 12 10 8 6 5 6 6 8 9 9 8 8 13 15 10 7 3 5 10 6 3 10 8 5 3 -2 -6 -2 3 2 5 13 14 10 6 4 3 3 3 4 6 6 6 4 2 2 4 4 3 3 4 5 4 2 2 3 6 10 9 7 6 7 6 5 4 5 4 2 3 4 6 8 6 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 4 4 5 5 6 5 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 2 3 6 7 6 6 5 6 6 6 6 6 6 5 5 3 3 3 4 4 3 3 3 3 4 8 11 12 11 8 4 2 3 4 5 5 5 4 4 4 4 4 4 3 4 4 4 4 3 4 9 15 17 11 9 9 8 7 5 3 2 -0 1 6 8 6 6 4 3 5 7 6 3 2 2 2 2 4 5 4 3 4 4 5 5 6 5 5 6 6 6 7 7 7 7 7 7 7 6 7 7 6 5 4 3 4 5 8 10 9 7 5 4 4 5 6 7 8 8 7 6 6 6 5 5 5 5 5 5 5 3 2 4 6 7 7 7 8 7 6 6 7 7 8 7 7 7 8 8 8 7 7 6 6 6 8 8 8 8 8 8 8 7 7 8 7 6 4 4 5 5 5 6 6 6 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 2 1 1 1 1 2 2 3 3 3 3 3 3 3 4 4 4 5 5 4 4 3 3 3 4 4 6 7 7 7 7 7 7 6 5 4 5 5 5 5 5 4 3 3 3 3 4 4 3 3 4 4 4 5 4 4 4 4 4 3 4 4 4 4 4 5 5 5 4 4 4 4 5 5 4 5 5 4 5 5 4 5 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 5 5 6 7 7 10 17 23 24 20 15 11 8 7 6 5 4 3 2 2 3 4 5 7 9 11 11 12 14 15 14 12 9 7 6 6 6 7 8 8 8 8 9 11 12 9 7 3 8 12 8 5 6 1 -3 -0 -1 -3 1 6 6 7 12 10 8 7 4 3 3 3 4 4 4 4 3 1 2 5 5 4 3 6 8 5 2 2 3 4 8 8 7 7 6 6 4 4 5 4 2 3 5 7 7 5 3 3 4 4 4 4 3 3 3 4 4 4 3 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 2 3 5 7 7 6 5 5 6 6 7 7 7 6 6 5 5 4 3 4 4 3 3 3 4 4 6 9 11 11 9 6 4 4 5 6 6 5 5 5 5 5 5 5 5 4 5 4 5 4 3 3 6 11 13 11 12 12 10 7 4 3 3 4 9 9 7 7 5 4 6 6 5 4 4 4 4 4 5 6 7 5 4 4 5 5 5 4 4 6 7 7 7 6 7 8 8 8 7 7 7 8 8 6 5 3 3 3 5 7 9 9 8 6 6 5 6 7 9 9 8 7 6 6 6 6 5 4 4 4 5 7 7 5 5 6 6 6 7 7 6 6 7 8 8 8 7 7 7 7 7 6 6 5 4 5 7 7 7 7 7 8 7 7 7 7 6 5 4 4 6 6 6 6 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 5 4 4 4 3 3 4 4 4 5 6 6 6 7 8 8 7 5 5 5 5 6 5 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 5 6 7 7 9 19 35 35 24 16 10 3 -1 1 4 4 4 3 2 1 2 4 5 7 9 10 11 13 16 16 13 11 9 7 6 6 5 6 6 6 8 11 10 5 7 7 4 1 3 4 2 5 7 1 -6 -3 0 1 5 8 8 8 9 10 11 9 5 3 4 5 4 3 3 2 0 1 3 5 4 3 4 8 8 5 3 4 3 2 4 7 9 8 6 5 4 4 4 3 3 2 5 9 8 5 4 3 3 3 4 4 3 3 4 4 4 4 4 4 4 5 5 4 4 4 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 4 4 3 3 4 6 6 6 6 5 5 5 6 6 7 7 7 7 6 6 5 4 4 4 3 3 3 4 4 5 6 8 9 8 6 5 5 6 7 6 5 5 5 5 5 5 5 5 5 5 6 6 6 4 3 2 4 6 8 11 14 13 11 8 6 5 6 9 9 8 8 6 5 6 5 4 6 5 4 6 6 7 7 7 7 6 4 4 5 4 4 5 6 6 6 6 6 7 7 8 8 7 7 7 8 8 8 6 5 4 3 3 4 7 8 9 9 8 7 6 7 8 8 8 8 7 6 6 6 5 4 3 4 7 9 9 6 6 5 5 6 6 6 6 6 7 8 8 8 8 7 7 7 7 6 6 5 5 5 5 6 6 6 6 7 7 6 7 7 6 5 3 4 5 6 5 5 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 4 3 2 2 2 1 1 2 2 2 2 3 3 2 3 3 3 4 5 4 5 5 4 4 4 3 3 3 4 5 6 7 9 8 7 6 5 5 5 5 5 4 3 2 3 4 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 6 6 7 8 13 31 45 33 14 8 5 -3 -8 -3 3 4 3 2 1 0 1 3 5 7 9 10 12 14 16 16 13 10 8 6 5 5 6 5 3 4 10 15 13 5 8 8 2 -0 -0 -4 -4 3 7 4 -2 -2 3 5 7 8 8 10 11 12 13 9 6 5 5 5 4 4 3 1 1 1 3 5 3 2 5 8 6 3 5 8 5 4 3 6 13 12 6 5 4 3 2 5 5 5 6 9 9 5 4 3 3 3 4 4 3 3 3 4 4 4 4 4 4 5 5 4 4 5 5 5 6 6 5 5 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 6 6 5 4 5 6 6 6 5 5 5 5 5 5 6 7 7 7 7 6 6 5 5 4 3 4 4 4 4 4 4 4 6 6 5 5 7 9 8 6 5 4 4 5 5 5 5 5 5 5 5 6 7 7 5 3 2 2 3 5 7 10 11 9 10 7 7 10 12 10 8 7 6 6 4 4 7 5 5 7 6 6 7 4 6 7 5 3 3 3 4 5 5 6 6 5 5 5 6 7 7 7 7 7 7 8 8 8 7 5 4 3 3 5 6 8 9 9 8 7 6 6 7 8 8 7 7 6 6 6 6 6 6 6 7 7 6 6 6 7 7 6 5 5 6 6 7 8 8 8 7 7 7 6 6 6 5 6 5 5 6 6 5 6 7 7 7 6 6 6 5 4 4 4 5 6 5 5 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 9 7 6 6 5 3 2 2 1 2 2 2 2 2 3 3 3 2 2 2 3 4 4 4 4 5 4 5 4 3 2 3 3 4 5 7 8 8 7 6 5 5 5 5 4 3 3 3 4 5 5 5 5 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 3 4 4 4 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 8 10 16 28 30 22 9 4 3 -6 -9 -1 7 8 4 2 1 1 2 3 5 7 10 11 13 15 16 15 12 8 6 5 4 5 4 3 2 5 12 16 14 8 9 8 2 1 1 -4 0 7 8 5 2 2 5 8 7 6 9 14 14 13 12 9 6 5 6 6 5 4 3 2 2 2 3 5 4 3 5 8 5 1 5 8 7 7 4 7 19 17 8 5 2 -0 1 7 10 7 7 10 9 5 4 4 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 5 5 5 5 4 4 4 5 4 4 4 5 4 4 4 4 4 5 4 5 5 6 6 6 5 6 6 6 6 5 5 5 6 5 5 5 4 4 4 4 5 6 6 6 6 6 6 6 5 4 4 4 4 4 5 5 4 4 4 4 4 4 6 12 12 7 4 3 4 4 5 5 5 5 5 5 5 6 7 7 6 5 4 3 3 3 3 5 6 6 7 6 6 9 12 11 8 8 7 5 4 4 7 6 4 7 6 6 7 4 4 6 5 3 2 2 2 3 5 5 5 5 5 4 5 5 5 5 6 6 6 7 8 9 8 7 6 4 3 3 5 7 8 8 8 6 5 5 6 7 7 7 6 6 5 6 8 9 8 6 5 6 7 6 6 7 8 8 8 7 6 6 6 7 7 7 7 8 6 6 6 6 6 5 5 5 5 5 5 5 6 6 7 6 6 7 7 6 5 5 6 7 6 5 5 5 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 10 8 8 8 7 5 3 3 2 2 2 2 2 3 3 3 3 2 2 2 3 3 4 3 4 4 5 5 5 4 3 3 3 2 3 5 6 7 7 7 6 6 6 5 4 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 4 5 6 6 6 5 5 5 5 5 6 5 5 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 4 5 5 4 5 5 6 6 7 7 6 7 9 13 17 18 17 17 8 -1 1 -5 -6 2 8 10 8 4 3 3 3 4 6 8 11 12 13 14 14 14 11 7 4 3 3 4 3 2 2 6 12 14 12 8 4 3 4 3 3 3 6 8 5 5 5 4 6 7 5 5 11 15 14 12 10 6 5 6 6 6 5 3 2 3 4 5 6 7 6 3 5 7 4 -0 4 6 6 7 6 10 19 17 9 5 -1 -3 1 9 14 10 8 10 8 6 5 4 4 4 4 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 3 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 3 3 3 4 5 6 6 5 6 6 5 5 5 5 4 5 5 5 5 5 4 4 4 3 3 6 13 17 11 4 2 3 4 5 5 4 4 5 4 4 5 6 6 7 7 6 5 5 4 3 3 3 3 4 4 4 5 7 9 8 7 7 4 4 4 6 5 5 6 5 6 7 5 5 6 5 5 3 2 3 3 4 4 5 5 4 4 4 3 3 4 5 5 6 7 7 8 8 8 7 5 4 3 4 5 7 7 7 6 5 5 6 6 7 7 5 5 5 6 8 9 8 6 5 5 6 6 6 6 8 9 11 11 9 7 7 7 7 8 8 7 6 6 6 6 5 5 5 5 4 4 5 5 6 7 7 7 8 8 8 7 5 6 7 8 7 5 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 9 8 8 7 7 5 5 5 5 4 3 2 2 3 3 3 3 3 2 2 2 3 3 3 3 3 4 5 6 5 4 3 3 3 3 3 4 5 6 6 7 7 7 6 6 4 3 3 4 4 4 4 3 3 4 3 3 3 3 3 4 4 4 4 5 5 6 6 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 8 12 17 17 13 13 13 3 -7 -5 -4 -3 1 6 9 10 6 4 5 6 6 7 9 11 12 12 13 13 12 8 4 2 2 3 3 3 4 7 11 13 11 6 5 -0 0 4 4 7 7 5 3 1 5 7 5 5 7 6 7 13 15 12 9 7 5 5 6 6 5 4 2 2 4 6 8 6 8 6 2 5 7 3 2 4 5 7 10 12 14 16 15 9 4 -1 -3 1 11 16 12 9 10 7 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 6 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 4 4 4 4 4 3 2 3 3 4 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 6 12 16 14 8 3 3 4 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 4 3 4 4 4 4 4 4 6 6 6 6 5 5 5 5 5 6 6 5 6 6 6 6 5 6 6 6 5 5 4 3 3 5 4 4 4 4 3 3 3 4 5 6 6 7 7 7 7 7 6 5 3 3 3 5 6 6 6 6 5 6 6 8 8 7 5 5 6 7 8 8 7 5 5 4 4 5 5 5 7 11 13 11 9 10 9 10 10 10 9 7 5 5 5 5 6 5 5 5 4 5 6 6 6 8 9 9 8 8 7 5 6 7 7 6 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
nan nan 8 7 6 5 4 4 5 7 8 8 6 4 2 2 2 3 3 3 3 2 2 3 3 3 3 3 4 4 5 6 5 4 4 3 4 4 3 3 4 5 6 7 7 7 7 5 4 4 4 5 5 4 3 3 3 3 3 2 3 3 4 4 4 4 4 4 5 5 4 5 4 4 4 4 5 5 5 5 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 5 4 4 4 5 5 5 4 5 5 4 5 5 5 5 6 5 4 5 5 6 6 6 7 8 7 8 12 18 21 16 9 10 10 -2 -10 -7 -4 -1 1 5 8 9 8 7 7 9 9 9 11 12 13 11 10 10 8 4 0 -0 2 3 3 3 6 11 14 12 8 1 4 2 2 3 7 10 8 3 2 2 6 7 5 5 7 10 12 14 13 10 8 5 4 4 5 5 4 3 2 2 6 9 6 -1 6 8 0 4 6 2 4 3 4 10 14 15 13 14 16 11 4 -0 -2 4 13 17 11 9 11 9 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 5 6 6 5 5 5 4 3 4 4 3 2 3 4 6 7 7 7 8 8 7 6 6 5 4 4 4 5 5 5 4 3 4 4 5 5 6 9 11 14 14 9 6 5 5 5 4 3 4 4 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 6 6 6 6 7 7 6 6 5 5 6 7 7 6 4 3 3 4 4 4 4 3 4 4 5 6 6 6 7 7 6 6 7 7 6 4 4 3 3 4 4 4 5 5 5 5 7 8 8 8 7 6 7 7 8 8 6 3 2 3 4 4 4 6 8 9 7 8 10 10 10 12 12 11 10 8 5 5 6 6 6 6 6 6 6 6 6 6 7 8 7 5 5 5 5 5 6 7 6 4 4 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 7 8 8 6 4 3 3 5 7 10 10 10 9 6 4 3 3 3 4 3 3 3 2 3 3 3 2 3 4 4 5 5 4 4 4 4 4 4 4 3 4 4 5 6 7 6 6 4 4 4 4 5 4 4 3 2 2 2 2 3 3 3 4 3 4 4 4 4 4 4 4 4 3 4 4 4 5 5 4 4 4 4 4 3 3 4 4 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 5 4 5 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 7 7 7 8 8 9 13 20 25 20 10 6 8 4 -4 -7 -5 -3 -1 2 4 7 8 8 8 10 10 10 10 12 13 13 11 10 9 4 -1 -3 0 2 2 2 2 5 11 10 7 4 0 3 4 3 3 9 13 10 5 5 8 7 6 6 6 8 11 15 15 12 9 8 6 4 4 4 4 4 3 3 5 8 8 -3 -9 9 14 2 4 4 2 4 3 7 12 14 10 8 16 24 16 4 -1 -2 6 16 15 10 10 13 10 6 5 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 3 3 3 3 5 5 6 5 5 4 4 4 4 3 2 2 3 4 7 7 7 7 8 10 10 9 9 9 8 6 5 5 5 4 3 3 4 5 6 7 6 5 5 10 16 16 12 7 5 5 4 3 3 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 7 7 7 7 6 6 5 4 4 4 6 7 6 5 4 4 4 3 4 3 4 4 5 5 6 6 6 8 7 5 5 7 8 7 6 4 3 2 2 2 2 3 4 4 4 5 8 9 10 10 8 7 7 7 7 6 3 2 3 3 3 4 5 6 5 3 3 4 6 8 9 11 11 12 12 9 6 6 6 6 7 7 7 7 7 6 5 6 6 4 3 2 3 4 4 4 5 6 5 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 9 8 5 3 3 4 6 7 8 9 14 15 11 7 4 4 4 4 3 3 2 3 3 2 2 3 3 4 4 5 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 4 3 2 3 4 5 5 4 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 5 5 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 6 6 5 5 4 5 6 7 8 9 10 10 15 22 29 24 11 3 6 8 -0 -7 -6 -3 -2 1 3 5 7 8 8 9 10 11 11 11 13 15 15 14 11 7 2 -2 -2 1 2 0 1 4 4 3 1 3 3 2 1 1 1 3 11 14 10 10 12 12 6 4 6 6 7 10 13 14 11 9 7 5 4 3 4 4 3 4 5 7 7 2 -8 -3 18 20 6 3 2 3 3 4 10 14 12 7 12 25 29 18 6 -2 -1 8 15 12 8 11 15 10 5 4 4 4 3 3 3 4 4 4 4 5 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 5 5 6 6 5 5 5 4 3 3 3 3 4 4 4 3 4 4 4 4 3 3 3 3 5 7 8 7 7 7 8 9 9 9 10 10 9 7 6 6 5 4 3 4 5 6 7 6 3 2 5 10 15 15 10 7 4 4 4 4 4 5 6 5 4 4 4 4 4 4 4 5 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 6 5 5 4 3 3 4 5 5 5 5 5 5 5 4 3 3 4 4 5 5 6 6 6 7 6 4 5 6 8 8 7 6 5 3 1 1 1 1 2 3 3 4 5 7 9 11 10 7 7 7 5 4 5 4 2 3 4 3 4 5 4 2 1 1 2 4 6 7 8 10 12 13 11 9 7 6 6 7 8 8 8 7 6 5 4 3 2 2 4 4 4 5 4 4 5 5 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 9 8 6 4 3 4 4 4 4 6 13 20 18 13 8 6 5 4 4 3 3 2 2 2 2 2 2 3 4 4 4 4 3 4 4 5 5 5 5 5 4 4 4 4 4 2 2 1 1 2 4 5 5 5 3 2 3 2 2 2 2 2 2 2 2 3 3 3 4 3 3 3 3 4 4 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 7 8 9 10 12 16 24 32 31 14 0 1 7 12 2 -6 -6 -3 0 3 5 6 8 8 8 9 10 12 12 12 15 18 19 16 11 5 2 1 1 1 1 -1 0 6 7 -1 -3 5 8 5 2 -1 -0 2 9 12 10 12 16 12 4 4 7 7 7 8 11 12 10 6 4 4 4 4 3 2 2 3 4 6 4 -2 -5 8 23 18 8 2 1 4 2 -1 5 12 11 10 20 32 30 17 5 -1 1 9 13 10 8 11 15 12 5 3 4 4 4 3 3 4 4 5 5 4 3 3 3 3 3 3 3 3 4 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 3 3 2 3 3 3 3 3 4 4 5 5 5 4 3 4 6 7 7 6 6 6 6 5 6 6 7 7 7 6 6 5 4 4 3 4 5 5 4 2 2 2 4 8 12 12 9 6 5 4 4 5 5 5 5 4 3 3 3 3 4 4 5 6 6 5 5 5 5 5 5 5 5 5 6 7 7 7 8 8 8 7 6 6 5 4 4 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 7 2 -1 3 5 6 7 8 8 8 6 5 3 2 1 1 2 2 2 2 3 4 7 10 10 7 6 6 5 6 7 4 2 4 4 3 3 5 5 3 2 2 2 3 4 5 6 6 8 11 14 13 11 9 7 8 9 9 9 7 6 5 4 4 3 3 4 4 6 7 5 4 5 4 4 2 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 7 6 5 4 3 3 3 2 3 8 15 17 15 13 10 7 5 5 4 3 2 2 2 2 2 3 3 3 4 4 4 4 3 3 4 4 5 5 4 4 5 5 4 3 2 1 1 1 2 3 5 5 5 4 3 2 2 2 2 2 1 1 1 1 2 2 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 6 5 4 5 5 5 5 5 5 5 6 8 9 11 13 16 21 29 33 23 5 -3 3 4 3 1 -3 -2 0 3 4 5 7 9 9 9 9 10 12 12 13 15 19 19 14 5 1 2 2 2 1 2 2 1 3 7 7 7 7 8 8 5 2 1 1 3 7 8 12 14 10 4 4 7 8 8 7 9 9 5 1 3 6 6 3 1 0 1 1 3 5 3 -1 1 13 18 11 6 2 -0 2 -1 -5 1 10 11 13 24 32 26 14 4 0 4 10 10 8 7 10 15 13 5 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 4 4 3 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 4 4 4 4 4 5 6 5 5 4 4 5 6 6 6 5 5 4 4 4 4 5 4 4 4 5 4 4 3 3 4 5 4 3 2 2 2 2 4 6 9 9 7 6 4 4 5 5 4 3 3 3 3 3 3 3 3 5 6 6 6 5 5 5 6 5 5 5 5 5 6 6 7 8 9 9 7 6 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 6 7 -1 -3 2 5 6 7 8 8 8 8 7 5 4 3 2 2 3 3 2 1 1 4 7 8 7 5 6 6 8 9 5 3 3 4 3 3 4 5 4 3 3 2 3 4 5 5 4 5 7 9 11 12 12 12 10 8 6 6 5 4 4 5 6 5 5 5 6 7 6 4 3 3 3 3 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 5 4 4 2 2 2 3 2 4 8 11 11 12 12 11 8 6 5 4 3 2 2 2 2 2 3 3 4 4 4 4 4 3 4 3 4 4 4 4 5 5 4 3 2 2 2 1 2 3 4 5 4 3 3 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 3 3 4 4 4 5 4 4 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 4 5 6 8 10 12 13 15 18 20 23 23 16 6 0 1 -4 -13 -5 -0 2 4 5 5 6 7 9 10 11 11 11 11 12 13 15 16 14 7 1 0 1 1 3 1 3 6 3 3 5 8 9 8 8 8 7 5 4 3 0 3 7 10 10 8 5 4 7 8 7 6 7 7 -2 -4 8 14 9 3 -0 -1 -1 1 4 6 5 3 5 12 11 6 5 4 -2 -3 -2 -1 4 9 11 14 23 27 22 12 5 2 5 8 8 6 6 10 13 11 5 4 4 5 4 4 4 4 5 4 4 4 4 3 3 3 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 3 4 4 4 5 4 4 3 3 2 2 3 5 6 6 5 3 2 3 4 3 2 2 2 2 2 1 1 3 4 5 6 6 6 5 5 5 6 6 5 5 4 5 5 6 7 9 9 7 5 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 6 6 4 4 4 3 5 8 5 -1 -1 2 4 6 6 7 8 8 9 8 7 6 5 5 4 5 5 2 -0 -0 1 4 6 7 5 5 6 8 10 7 4 3 3 4 3 3 4 4 3 3 3 3 4 5 5 5 4 4 5 7 8 9 10 10 8 5 3 3 3 5 5 5 6 6 6 6 6 6 4 3 3 3 3 3 2 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 5 4 4 4 4 4 4 3 2 2 3 3 2 4 5 6 8 11 12 10 7 6 5 4 3 3 2 2 3 2 3 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 4 3 3 2 1 2 3 4 4 3 2 2 2 2 2 2 2 2 1 1 2 2 2 2 3 2 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 3 4 3 3 4 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 4 4 4 4 4 6 9 11 12 14 14 15 14 13 12 13 14 11 4 -1 -6 -11 -4 4 6 6 6 6 6 7 8 11 13 14 12 12 12 12 13 10 5 1 -0 0 -1 0 4 3 4 7 5 7 7 5 7 9 7 6 8 8 7 6 3 4 6 8 8 6 5 6 8 8 6 5 7 6 -5 -4 15 21 11 3 -0 -1 2 3 4 4 4 5 7 8 6 4 6 5 -2 -5 2 9 8 6 9 15 22 23 17 10 5 3 5 6 7 5 5 8 11 8 5 4 5 5 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 4 4 5 5 5 4 4 4 5 5 5 5 5 5 6 6 5 5 4 4 4 5 6 5 5 5 4 4 4 5 5 5 5 6 6 6 6 5 5 6 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 5 5 4 4 4 3 3 3 4 3 3 2 1 -0 -1 1 2 2 2 2 1 1 0 0 1 3 4 5 6 5 5 6 6 6 6 5 5 5 5 5 5 6 8 8 6 4 3 4 4 5 5 6 6 7 6 6 7 7 6 6 5 5 6 6 5 5 4 5 6 9 6 1 0 3 4 5 6 6 7 7 8 8 8 8 7 6 5 7 6 0 -1 0 0 0 4 6 6 6 7 8 9 7 4 3 3 3 3 3 3 3 3 3 3 3 3 5 6 5 4 3 3 4 4 5 6 7 7 6 4 3 3 4 5 5 5 5 6 6 6 5 5 4 4 4 4 4 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 4 4 4 5 5 4 3 2 2 2 2 2 1 2 4 8 10 10 8 7 7 6 5 4 3 3 3 2 2 3 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 3 2 2 2 3 4 4 3 3 2 2 2 2 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 3 4 4 4 3 3 3 4 5 4 4 5 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 6 6 5 5 4 4 4 4 8 13 12 13 14 12 11 9 8 8 13 17 14 5 1 1 1 3 8 7 7 6 5 5 6 8 11 14 16 14 12 12 12 9 4 -1 -2 0 -2 -4 1 6 5 5 7 8 8 5 6 8 9 6 5 9 10 10 10 6 3 4 6 6 5 6 8 8 8 6 5 7 9 -2 -0 16 19 10 3 1 2 5 6 5 4 4 6 6 6 4 5 8 6 1 -1 7 14 9 4 9 15 19 17 11 7 4 3 4 6 6 5 6 9 11 8 4 4 5 5 4 4 5 4 4 5 4 4 4 3 3 4 4 5 5 4 5 5 4 4 4 4 4 4 5 6 6 5 5 6 6 6 5 4 4 4 5 7 6 6 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 6 5 5 5 5 6 6 6 5 5 6 5 5 5 6 6 6 6 6 5 5 4 5 5 5 5 5 5 4 4 4 4 3 1 0 -1 -2 -2 -1 1 1 1 1 1 0 -0 -0 1 3 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 7 6 5 3 3 4 5 5 6 6 7 7 6 7 7 7 7 6 6 5 5 6 6 6 6 6 6 7 7 4 3 5 5 5 5 6 7 7 7 8 8 8 8 7 7 7 5 2 1 2 1 -0 1 2 3 5 6 8 8 6 3 3 3 2 3 3 3 3 3 3 3 3 3 4 5 5 5 4 3 3 3 4 4 5 6 6 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 4 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 7 7 7 7 8 8 6 3 2 1 0 -0 -1 -1 0 4 6 8 8 8 8 8 7 6 5 4 3 3 2 3 3 3 3 4 4 4 3 3 3 3 3 3 4 5 6 5 4 3 2 3 4 5 4 4 4 3 2 2 1 1 1 1 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 4 5 6 5 5 5 5 5 6 5 5 5 5 5 6 10 14 12 11 10 8 7 7 8 14 24 23 12 6 6 8 8 8 9 8 7 6 5 5 5 7 10 15 17 15 12 12 9 6 2 -2 -1 2 1 1 5 7 5 5 6 9 7 4 6 9 10 7 6 9 11 14 14 7 2 1 2 4 6 7 8 8 8 7 6 10 11 3 5 14 15 8 2 2 4 5 5 4 4 5 4 3 5 5 6 8 5 2 3 9 14 12 10 12 15 14 8 5 4 2 3 6 7 6 6 6 9 10 7 4 5 5 5 5 5 4 4 4 4 5 5 4 4 3 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 5 6 6 6 6 7 7 6 5 5 5 6 7 7 7 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 5 5 5 6 6 5 5 5 4 4 3 2 1 -0 -2 -2 0 1 1 2 2 1 1 1 2 2 3 5 5 5 5 6 6 6 7 6 6 6 5 5 5 5 3 3 3 3 3 4 6 6 7 8 8 7 6 6 6 6 6 6 6 5 6 6 7 6 5 5 5 5 5 5 6 5 5 5 6 7 7 6 7 8 8 9 8 7 7 6 5 5 4 3 2 0 -0 -0 2 4 4 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 4 5 5 3 3 3 3 3 4 5 5 6 5 4 4 5 4 4 4 4 5 5 5 5 5 6 6 5 4 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 9 10 11 12 14 12 7 2 -0 -1 -1 -2 -3 -2 1 4 5 6 7 8 8 7 7 6 5 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 3 2 1 0 1 1 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 6 5 5 4 5 5 5 5 5 5 5 6 8 12 13 10 8 6 6 7 8 11 21 31 21 7 6 9 10 9 8 7 6 6 6 6 6 6 7 10 15 19 17 10 8 7 5 5 5 5 5 5 6 6 5 3 4 6 9 8 5 8 10 9 8 8 9 10 14 17 10 4 -0 -1 3 8 7 6 7 7 6 8 13 13 8 10 15 14 5 -1 3 6 4 0 0 5 7 3 3 8 8 6 7 4 2 3 6 11 14 16 16 13 7 -1 0 3 2 5 10 9 7 6 6 7 7 6 5 6 6 5 5 5 4 3 4 4 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 7 6 6 6 6 5 5 5 5 7 6 5 4 3 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 6 6 6 5 5 5 6 7 8 8 7 6 6 6 6 6 5 5 5 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 3 3 2 1 0 1 2 2 3 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 7 7 6 6 6 5 3 1 0 1 2 3 4 5 6 7 8 7 7 6 5 5 5 6 6 6 5 6 6 6 5 4 4 4 4 4 5 6 5 5 5 6 7 7 7 7 7 8 9 9 8 8 8 7 6 6 5 4 2 0 -1 -1 -0 1 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 1 2 3 3 4 3 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 8 10 11 13 15 15 12 6 2 0 0 -0 -1 -2 -0 2 4 5 5 6 7 7 7 6 5 5 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 5 6 6 6 5 3 3 4 5 5 4 3 1 0 0 0 1 2 3 3 4 4 5 5 5 5 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 6 5 6 9 12 14 13 9 7 6 7 7 9 10 20 21 9 0 5 9 9 7 6 5 5 6 6 7 7 7 8 11 16 19 15 5 3 8 10 12 11 9 6 4 3 3 3 2 4 7 10 10 7 6 8 8 9 11 6 4 11 17 14 10 4 2 9 14 10 6 7 8 7 8 15 16 12 11 14 11 1 -3 4 7 2 -1 4 11 11 7 9 11 8 5 5 4 2 7 7 9 16 20 16 10 1 -5 1 6 6 10 13 10 7 7 6 7 8 7 5 6 7 5 5 5 4 4 4 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 5 4 5 6 6 6 6 6 5 4 4 4 5 7 7 6 5 4 4 5 5 5 6 6 6 6 6 5 5 5 5 4 4 5 5 6 6 5 5 6 7 7 7 7 7 7 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 6 6 7 7 6 6 6 7 7 8 7 7 6 6 6 3 1 -0 -0 1 2 4 5 6 6 7 7 7 6 5 5 5 6 6 6 6 6 6 6 5 3 4 5 5 5 5 5 5 5 5 6 7 7 8 7 7 8 8 9 9 8 8 8 6 6 6 6 5 3 1 0 -1 -1 -1 -0 0 1 2 3 4 4 4 4 4 3 2 2 1 1 1 1 2 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 5 4 4 4 5 5 5 4 4 4 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 4 5 6 7 8 10 12 12 10 7 5 4 2 2 2 2 3 4 4 4 5 6 6 6 6 5 5 5 5 4 5 6 6 5 4 3 3 3 3 3 3 3 3 4 4 4 6 7 8 5 3 3 4 5 5 4 3 1 -0 -0 -0 1 2 2 3 3 4 5 6 5 5 6 7 6 6 5 5 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 5 5 5 8 12 14 12 10 8 8 7 7 8 9 9 12 7 -3 -3 5 7 6 4 4 4 4 6 6 7 8 8 9 12 17 18 11 0 1 11 16 15 12 8 6 2 -0 1 2 3 4 6 7 8 7 6 6 7 13 11 2 -2 6 15 16 13 10 9 15 17 12 9 11 13 10 9 14 15 12 10 9 6 -3 -3 7 7 3 5 8 11 12 12 11 8 5 4 4 3 5 14 12 10 20 22 15 7 -2 -3 6 10 12 15 14 10 7 7 6 7 9 8 6 6 7 6 5 5 4 4 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 5 4 5 5 6 6 6 6 6 5 5 3 4 4 4 5 6 6 5 5 5 6 6 7 7 6 6 5 5 5 5 5 4 3 4 5 6 6 6 5 6 6 6 7 7 8 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 4 5 6 7 8 8 9 9 8 7 6 5 6 6 7 7 7 7 7 8 8 8 8 7 7 8 7 7 7 7 7 7 7 6 4 2 0 -1 0 3 5 6 6 7 7 6 6 6 5 5 6 6 6 6 6 7 7 6 2 4 8 7 5 4 5 4 4 5 5 6 7 8 8 8 8 8 8 8 8 8 7 6 5 6 7 7 6 3 2 1 1 0 -0 0 0 1 2 3 4 4 4 4 4 2 1 1 1 1 1 2 2 2 3 3 4 3 2 3 3 3 3 4 4 3 3 4 4 4 4 4 5 5 5 4 4 4 4 3 3 4 3 3 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 5 6 8 9 9 8 7 5 4 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 7 6 7 9 10 9 7 5 4 4 3 3 3 4 4 4 4 5 7 8 5 3 3 3 4 4 4 3 1 0 -0 0 1 1 1 2 3 4 5 5 5 5 6 7 6 6 6 5 5 5 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 8 12 13 10 8 9 9 8 8 9 8 8 7 2 -4 -1 4 5 4 4 4 4 5 5 6 7 8 9 11 14 18 17 6 -3 2 13 15 10 7 6 4 3 3 3 4 5 5 6 6 5 6 7 5 7 12 10 1 -3 5 12 13 12 14 16 17 15 11 12 14 14 9 7 10 12 10 8 7 3 -5 -1 9 7 4 6 6 5 7 9 7 4 3 4 5 6 9 13 11 14 24 21 12 6 -1 1 12 16 15 15 13 10 7 6 6 7 8 7 5 6 7 6 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 3 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 4 4 3 3 4 5 6 6 6 6 6 6 6 6 7 5 5 6 6 7 5 4 4 5 6 7 6 6 5 6 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 6 6 5 6 6 8 10 11 11 10 9 8 8 7 6 6 6 6 7 6 7 8 8 8 8 8 8 8 8 8 7 7 8 7 8 9 9 8 6 4 1 -0 1 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 6 3 5 7 5 3 3 4 3 4 5 4 5 6 8 9 8 8 7 8 9 9 8 8 7 5 6 7 8 7 5 3 2 2 2 2 2 1 2 3 3 4 4 4 5 5 4 3 2 2 1 1 2 2 2 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 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 3 3 2 2 3 2 2 2 2 4 6 8 9 8 6 5 4 5 5 4 4 4 4 5 6 6 6 6 6 6 7 7 7 7 10 16 16 12 7 5 4 3 3 3 3 4 5 4 4 6 8 6 3 3 2 3 4 4 3 2 1 0 1 1 2 1 1 2 3 4 5 5 5 5 6 6 7 6 5 5 5 4 4 5 4 5 5 4 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 12 13 9 9 10 9 8 8 8 8 8 9 4 -1 1 3 3 3 4 4 4 5 5 6 7 8 10 13 15 17 11 2 -4 2 12 11 4 4 5 1 3 7 8 7 7 7 7 6 4 5 6 6 6 8 10 5 3 8 12 10 9 12 15 17 14 10 11 13 9 3 3 8 11 7 6 7 2 -1 4 10 7 3 2 -3 -4 0 5 4 2 3 5 7 8 8 3 5 17 24 18 10 6 1 6 15 18 15 13 10 8 7 7 6 6 7 7 5 6 8 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 3 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 3 4 5 6 5 6 6 6 6 6 7 6 6 8 8 9 7 5 4 6 7 8 8 7 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 6 6 6 6 7 9 10 10 10 8 8 7 6 5 5 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 9 12 13 11 5 1 1 3 4 5 5 6 6 6 6 6 6 7 7 7 6 6 7 8 7 5 5 4 3 2 3 3 4 4 4 5 5 5 6 8 8 7 6 7 9 10 9 8 7 6 6 6 6 6 5 4 3 3 4 4 3 3 2 3 3 4 3 4 4 5 5 5 4 2 1 1 1 2 3 3 3 3 3 3 2 2 2 2 2 3 3 3 2 2 2 3 3 3 3 3 4 4 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 3 3 3 3 3 3 2 2 2 3 6 8 9 8 6 5 4 5 5 4 5 4 5 5 5 6 5 6 6 7 7 6 6 8 14 17 14 9 7 5 4 3 3 3 4 5 5 5 5 6 6 4 3 3 3 3 4 3 2 1 1 1 1 2 1 1 2 3 3 4 4 5 5 5 7 7 6 6 5 4 4 4 5 4 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 5 6 7 7 10 13 11 10 10 9 8 8 9 8 11 12 7 1 1 2 3 3 4 5 5 5 4 5 7 10 13 14 13 10 5 1 1 6 11 10 3 4 4 -3 0 4 8 8 8 8 8 7 6 5 4 3 2 5 10 8 6 14 17 11 7 7 9 14 16 12 10 10 6 1 4 11 12 8 7 8 4 4 9 9 6 3 -5 -10 -3 6 7 2 0 3 6 8 9 4 -5 0 17 23 17 10 4 3 10 16 16 13 10 8 8 7 6 6 6 7 7 5 7 8 7 6 5 6 5 5 4 5 5 4 4 4 6 6 5 4 4 3 4 4 4 4 4 5 6 6 5 5 5 5 5 6 5 5 6 5 5 5 5 5 5 5 6 6 6 7 7 6 6 7 7 9 10 11 9 6 5 6 8 9 9 8 8 7 7 6 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 6 6 7 6 6 7 7 7 6 6 6 5 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 6 6 11 16 14 8 4 3 3 3 4 5 6 6 6 6 6 7 7 8 7 7 7 7 7 6 5 4 5 4 2 2 3 3 4 4 5 4 4 5 7 8 7 5 6 8 9 9 9 8 7 7 6 6 6 6 5 5 4 5 5 4 4 2 3 3 4 4 4 3 4 4 6 6 4 3 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 4 3 3 3 3 3 3 2 3 5 6 8 9 9 7 6 6 7 7 6 5 5 5 4 4 5 6 6 6 6 6 6 6 8 11 11 9 8 7 7 6 4 3 3 4 5 5 5 6 7 5 4 3 3 4 3 3 2 2 2 2 2 2 1 2 2 3 4 4 4 4 5 6 7 7 7 7 6 5 4 3 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 6 6 7 8 8 13 15 10 9 8 7 8 7 9 14 13 6 2 2 2 2 4 5 6 6 4 5 6 8 12 14 12 8 5 4 6 9 12 14 11 6 5 5 3 1 -1 2 7 7 9 10 9 7 5 1 -1 3 8 13 11 11 17 19 12 6 4 5 10 12 9 9 8 3 3 11 19 17 11 9 8 4 3 8 7 3 -1 -12 -12 5 19 13 -0 1 6 5 5 8 3 -3 3 17 22 16 9 3 5 11 15 14 11 9 7 7 6 5 4 6 7 6 4 6 7 7 6 6 6 5 5 5 4 4 4 4 5 7 7 6 5 4 4 4 4 4 4 5 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 7 6 5 5 6 6 8 8 8 7 7 7 7 8 9 9 8 7 6 6 8 8 8 8 7 6 5 4 2 2 1 0 1 1 2 2 2 3 3 3 3 3 3 4 3 3 4 4 4 5 6 6 6 7 6 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 9 9 7 6 5 10 14 10 8 6 6 4 3 4 6 6 6 5 6 6 7 8 8 8 8 8 7 8 7 7 5 5 3 2 2 3 3 4 4 4 4 4 5 6 7 6 5 5 6 8 9 9 9 8 8 8 7 6 6 6 6 6 6 6 5 4 3 2 3 3 4 4 4 3 4 6 7 6 5 4 5 5 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 3 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 6 5 3 2 3 3 3 3 4 4 5 6 9 10 10 8 8 8 9 8 7 6 5 4 4 5 6 5 5 6 6 6 7 7 8 8 8 8 9 10 10 8 6 4 4 5 5 5 6 7 6 5 4 4 4 3 3 2 2 2 3 3 2 1 2 2 3 4 4 4 4 5 6 6 7 8 8 7 5 4 3 3 3 4 4 4 4 4 3 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 6 6 7 7 7 8 14 15 10 9 7 8 8 6 7 10 7 4 3 3 3 3 5 6 6 5 4 5 7 9 11 11 8 6 7 8 10 14 16 15 12 7 4 6 11 6 2 4 7 7 9 10 9 7 4 -0 -2 4 12 15 15 14 14 13 9 6 3 5 8 6 2 4 5 3 6 17 23 18 9 4 1 -3 -2 8 7 0 -6 -11 -7 6 18 10 -4 2 13 8 3 4 2 2 10 19 20 13 6 3 6 12 14 13 10 8 7 7 6 4 4 6 7 5 4 4 5 7 7 6 5 5 5 4 4 3 3 3 4 6 7 7 6 4 4 4 4 4 4 6 8 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 8 9 8 8 7 7 7 7 7 7 6 6 6 5 5 6 6 5 4 4 2 1 -1 -2 -1 -1 -0 0 1 2 3 3 4 4 4 4 5 5 5 6 6 6 5 5 5 6 7 7 7 7 7 6 6 7 7 7 6 5 5 5 5 5 4 4 4 4 5 5 6 6 7 7 7 8 8 8 9 7 6 5 9 12 9 7 7 6 4 4 5 6 6 5 5 6 7 8 8 8 9 10 10 10 9 9 9 7 4 3 2 2 2 2 3 4 4 4 4 5 6 6 6 5 4 5 6 8 8 9 9 9 8 8 7 7 7 6 6 6 6 6 5 4 3 2 3 4 4 4 4 4 5 6 6 6 6 6 6 6 7 6 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 5 3 2 3 3 4 4 5 5 6 7 8 8 7 7 7 8 9 9 7 6 5 5 5 6 6 5 5 6 8 9 10 9 9 9 9 10 11 12 12 10 7 5 5 5 5 5 7 7 7 6 5 4 3 2 2 2 2 3 3 2 2 2 3 4 5 4 4 4 5 5 6 7 8 8 7 5 4 3 2 3 3 4 4 4 4 3 3 2 3 2 2 2 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 7 13 14 10 9 9 10 10 11 11 5 2 3 4 4 3 4 6 7 6 6 5 5 8 9 8 7 7 8 8 8 11 15 16 14 10 6 3 4 9 7 8 8 5 8 9 9 8 6 3 1 -1 -0 3 6 11 12 9 6 5 5 4 3 2 0 1 5 5 5 9 17 19 13 5 1 -4 -7 1 13 8 -2 -5 -5 2 11 15 6 -5 3 17 17 10 5 6 9 14 18 16 9 4 4 8 12 13 11 9 8 7 6 4 2 3 7 7 5 5 4 4 6 7 6 5 5 4 4 5 4 3 3 3 5 6 6 6 4 3 4 4 4 5 7 8 8 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 8 8 8 7 7 6 6 5 5 5 5 4 4 3 3 2 2 2 1 1 0 -1 -1 -1 -1 1 2 3 4 5 6 7 7 8 7 7 8 9 10 10 10 10 9 9 8 8 8 8 9 8 8 8 8 9 10 11 9 7 6 6 6 6 5 4 4 4 4 5 5 5 6 6 6 6 7 8 8 6 4 4 8 9 8 7 7 7 6 5 5 6 4 4 5 6 8 9 8 9 10 12 14 13 11 9 9 9 5 3 2 2 2 2 3 3 4 4 5 5 5 6 6 6 5 4 5 6 7 8 9 9 8 8 7 7 7 6 6 6 5 5 6 5 4 3 2 3 3 3 4 4 5 5 6 6 7 7 7 8 8 8 7 7 6 5 4 3 4 4 4 5 5 5 4 4 3 3 3 4 4 3 3 3 3 3 4 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 7 8 7 6 4 4 3 3 4 4 5 6 7 7 6 5 5 6 7 7 8 7 7 6 6 7 7 6 5 5 6 8 10 11 10 9 10 10 11 12 12 12 12 10 8 6 5 5 6 7 7 7 7 6 4 3 2 2 2 3 4 3 2 2 2 3 4 5 5 4 5 5 5 6 7 8 7 6 5 5 4 3 3 3 3 4 4 4 3 3 3 3 2 2 3 3 2 3 3 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 6 7 7 6 5 5 8 14 14 10 9 10 12 16 23 19 4 1 3 5 5 5 6 7 7 6 6 5 6 7 8 8 7 7 9 9 10 14 17 15 11 6 4 5 6 4 2 6 7 3 6 8 8 7 4 3 4 4 1 -0 3 9 9 6 4 4 5 4 2 -0 0 4 9 9 9 12 15 14 9 3 -2 -7 -4 9 17 9 -1 -2 0 5 13 15 6 -1 5 16 20 16 11 11 14 17 15 11 6 4 6 9 12 11 10 8 8 8 6 3 1 3 7 6 5 6 6 5 5 6 6 5 5 4 5 4 4 2 2 2 4 6 7 6 3 3 3 4 4 5 6 7 7 6 5 6 5 5 6 5 5 5 5 5 6 6 5 5 6 7 7 8 8 7 7 6 6 6 5 5 4 3 3 2 2 1 1 0 0 1 3 3 2 2 3 4 4 5 7 8 9 11 11 10 10 10 10 10 10 10 11 11 12 11 11 11 10 9 9 9 10 9 9 9 9 10 12 13 12 10 9 9 9 9 8 8 7 6 6 5 5 6 6 6 6 5 6 8 8 6 4 4 6 6 7 7 7 7 7 6 4 3 3 4 5 7 9 9 8 9 11 16 19 17 14 10 10 9 6 3 2 2 2 2 3 4 4 4 4 5 5 5 6 6 5 4 4 4 6 7 8 8 8 8 7 7 6 6 5 5 5 5 6 6 6 4 3 2 3 2 3 3 4 6 6 6 6 7 7 7 8 8 9 8 7 6 5 4 3 3 3 4 4 4 3 2 2 2 3 4 4 4 4 3 4 5 6 6 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 6 8 9 9 7 5 4 4 4 4 4 5 6 7 6 6 5 5 5 6 6 7 7 8 11 13 12 8 5 4 5 7 8 9 9 8 9 10 12 12 12 11 10 10 9 8 6 5 5 6 7 8 8 7 5 4 3 2 3 3 4 4 2 2 2 4 5 5 4 4 4 4 5 5 6 7 7 6 6 6 5 5 5 4 4 5 4 4 4 3 3 2 3 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 6 5 5 5 5 6 7 8 7 5 4 5 10 16 15 11 8 9 13 19 25 15 3 1 4 6 6 6 7 7 7 6 6 4 4 6 8 8 7 7 8 10 13 19 20 16 9 1 1 9 11 4 1 6 7 2 3 6 6 5 3 4 5 4 7 9 8 6 6 5 6 7 8 6 3 3 8 13 15 14 12 14 14 11 7 -0 -7 -7 0 10 12 4 -3 -1 4 8 9 10 6 3 8 13 16 13 11 12 15 15 11 6 4 6 7 10 11 11 10 8 8 8 5 2 1 4 6 5 4 7 7 5 5 6 6 6 6 6 5 4 3 2 2 3 4 6 7 6 3 2 3 4 5 6 6 6 6 5 5 5 6 6 6 6 5 5 5 6 6 6 5 5 6 6 6 7 7 6 6 6 5 5 5 4 4 3 2 1 1 1 1 2 2 3 5 7 7 6 7 9 10 11 12 12 12 12 12 11 10 8 8 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 14 12 11 11 12 13 13 12 10 9 7 7 7 7 7 7 6 6 5 8 9 9 6 5 5 6 6 7 7 7 7 6 3 2 3 5 7 9 9 9 8 9 13 18 22 21 16 12 10 9 6 4 3 2 2 3 4 4 4 4 5 5 5 5 5 5 6 5 4 4 5 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 6 5 4 3 3 3 3 4 6 6 6 6 7 7 6 6 7 8 8 7 6 6 5 4 3 3 2 2 3 2 3 3 3 4 4 4 4 4 5 6 7 9 9 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 6 9 12 11 9 7 5 4 3 3 4 5 6 7 6 6 4 5 5 6 6 8 12 16 20 20 16 8 5 5 5 5 5 6 7 8 10 12 13 14 11 10 11 11 10 8 6 5 5 6 8 9 8 6 4 3 3 3 4 4 3 3 2 3 4 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 6 5 5 5 6 7 8 9 7 5 5 8 16 19 16 9 6 7 12 14 12 6 3 3 4 5 6 7 7 7 6 6 6 4 2 4 7 8 7 7 8 10 15 22 24 19 9 -2 -1 9 11 5 1 4 5 2 2 3 3 3 4 7 7 4 5 7 6 4 3 6 8 9 8 7 3 5 11 17 18 15 13 15 14 10 5 -2 -6 -4 1 6 5 -1 -5 -2 5 9 6 5 5 5 8 11 11 10 11 13 14 10 4 3 5 6 9 11 11 11 10 9 8 7 5 1 1 5 6 4 5 6 8 7 6 6 6 7 7 6 5 4 3 3 4 5 6 8 8 5 3 3 4 4 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 4 4 3 3 2 2 2 3 4 5 7 7 8 8 9 9 10 11 13 13 12 11 9 9 9 8 7 7 7 7 7 8 8 8 9 10 10 10 11 11 11 11 11 12 12 12 11 12 12 12 12 12 12 13 14 15 14 12 11 9 8 9 10 10 10 9 7 6 9 12 11 8 7 6 7 7 7 7 7 7 6 2 0 2 5 7 9 9 9 8 9 13 19 23 23 17 12 10 9 7 5 3 2 1 2 4 5 5 4 4 4 5 5 5 5 5 6 5 4 4 5 5 5 6 7 6 7 7 8 9 9 8 7 8 8 7 7 6 5 5 4 3 3 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 3 4 5 6 6 6 6 5 5 5 6 7 8 8 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 6 5 6 11 14 12 9 5 3 2 3 3 4 4 5 6 6 5 4 4 5 6 8 11 15 20 23 24 19 12 7 5 4 4 4 5 6 8 10 13 15 15 16 17 17 13 8 6 5 5 6 7 9 9 7 5 4 3 3 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 4 5 5 5 6 7 7 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 6 5 6 6 6 6 7 9 10 8 6 7 11 17 24 22 14 7 3 3 5 3 1 4 5 4 4 4 6 7 7 6 5 6 6 4 3 4 7 7 7 8 8 9 12 17 26 24 10 1 2 6 8 3 -4 -1 5 6 5 3 3 3 5 7 7 4 0 -1 1 2 5 9 11 9 7 6 4 6 12 16 14 12 12 12 11 7 1 -4 -4 -3 1 4 4 -1 -3 -0 4 7 6 5 5 7 8 9 10 10 12 13 11 4 2 5 8 7 10 11 11 10 10 9 7 7 4 1 3 5 5 4 5 6 9 10 7 5 5 6 8 7 5 4 4 5 6 8 10 9 7 4 3 4 4 4 5 5 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 3 3 3 4 4 6 7 7 7 7 8 9 9 9 9 10 10 9 9 8 7 8 8 8 7 7 8 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 13 12 12 11 11 10 9 10 12 13 12 9 8 10 11 10 9 9 9 8 8 7 7 7 7 7 2 -2 1 4 7 8 9 8 7 8 13 19 23 23 18 12 10 9 7 5 3 2 0 -0 3 5 6 5 4 4 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 7 9 10 9 9 8 8 8 7 7 7 6 6 4 5 5 5 6 6 5 5 5 6 6 5 5 4 4 6 6 6 6 7 7 7 6 6 7 7 8 9 10 10 9 7 7 7 8 7 6 5 5 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 5 3 5 9 13 12 8 4 3 2 2 2 3 3 4 5 5 5 4 4 6 8 8 7 9 13 17 22 25 20 12 6 4 3 3 4 5 6 8 12 16 20 25 27 21 12 7 6 6 5 5 7 9 9 7 5 4 4 4 4 4 3 3 3 3 4 4 4 3 3 2 2 2 3 4 4 4 5 6 7 8 7 6 6 6 6 6 6 5 4 5 4 4 3 3 3 3 4 4 4 3 4 5 5 6 6 6 5 6 6 6 7 9 11 9 7 9 14 21 26 29 21 10 4 0 -4 -6 -7 -3 4 4 3 3 5 6 7 8 7 5 5 5 5 4 5 7 8 8 8 7 6 8 11 20 22 12 6 5 6 5 2 -2 1 8 11 9 6 6 6 7 5 4 4 1 -1 0 3 7 11 12 9 7 7 8 10 13 13 10 8 7 7 7 2 -3 -6 -3 2 4 4 3 1 0 3 4 6 7 5 5 8 10 10 8 8 9 10 7 3 6 12 11 9 10 11 11 10 10 8 7 6 4 3 4 5 5 4 5 6 10 11 6 4 4 6 7 7 6 4 5 6 8 10 10 8 5 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 5 6 6 6 6 7 6 6 7 7 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 10 10 10 9 9 9 9 9 10 10 10 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 13 13 10 9 10 10 9 9 9 10 9 9 8 7 7 7 6 2 -2 1 4 6 7 8 8 7 8 12 17 22 22 17 12 10 8 7 5 4 3 2 1 2 5 6 6 5 5 5 5 5 4 5 6 7 7 6 6 5 5 6 6 6 5 5 5 6 9 10 9 8 8 9 8 7 8 9 8 7 7 6 5 6 6 5 4 5 6 6 5 5 4 4 4 5 5 6 7 9 10 9 8 8 8 8 9 11 12 12 11 9 8 8 8 7 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 6 2 1 4 9 11 10 6 3 1 2 2 3 3 3 4 5 5 5 5 5 6 8 7 5 6 8 9 12 17 18 14 8 4 3 3 3 3 4 6 11 17 26 32 30 20 9 5 5 7 6 6 7 8 8 7 5 5 4 4 5 4 3 3 3 3 3 3 3 3 2 2 2 2 3 5 4 4 4 6 8 8 7 6 6 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 5 5 6 6 6 6 6 7 9 11 11 8 10 15 22 25 25 25 17 8 5 2 -4 -8 -7 -2 3 2 2 4 6 7 8 8 7 6 4 5 6 7 6 7 9 9 11 11 8 6 8 12 14 12 9 6 6 5 4 5 8 11 12 10 8 8 8 8 4 3 5 4 2 2 5 9 12 11 9 9 9 11 13 13 10 7 4 4 5 5 -1 -8 -6 1 7 8 6 4 2 2 5 7 8 7 6 8 10 11 12 9 7 9 8 6 8 14 15 12 10 10 11 11 10 9 8 7 6 5 4 4 5 5 5 5 7 10 9 4 2 3 6 7 6 6 5 6 7 8 9 9 7 4 4 4 5 5 5 4 4 3 4 4 5 5 5 5 5 5 6 6 6 6 5 5 6 6 5 5 4 4 4 4 5 5 5 5 4 3 2 2 2 3 5 7 7 6 5 6 6 5 6 6 7 7 7 7 7 8 7 8 8 8 8 8 7 7 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 10 10 11 12 13 15 15 15 14 13 11 12 13 12 11 11 10 9 10 10 10 10 10 10 9 8 7 6 3 1 2 4 5 6 7 7 7 7 10 16 21 21 16 11 9 8 7 5 4 4 2 1 4 7 6 5 5 4 5 5 5 4 4 5 6 6 7 8 6 5 5 5 6 6 5 5 5 6 6 7 7 8 8 8 8 9 11 11 10 9 7 6 6 6 5 4 5 6 6 6 5 4 4 4 5 5 5 6 7 8 9 8 7 7 7 7 8 10 11 11 10 9 8 8 8 7 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 5 2 3 7 11 11 8 4 2 1 2 2 3 3 5 5 5 6 6 6 6 7 8 8 6 6 7 5 3 5 10 10 8 5 4 3 3 3 4 6 9 18 30 36 29 15 6 4 7 8 7 7 7 8 8 8 7 5 4 4 4 4 3 2 2 3 3 3 2 2 2 2 2 2 4 5 5 3 3 5 8 8 7 6 5 5 5 6 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 5 6 6 7 7 9 12 11 9 9 15 20 24 24 18 13 12 13 16 15 9 2 0 1 2 2 3 4 6 8 9 8 7 5 4 6 8 8 7 7 8 9 13 15 13 8 6 7 9 12 11 6 8 10 10 11 11 11 10 8 8 9 10 10 7 8 10 8 5 4 8 11 12 10 8 8 9 11 12 10 8 6 3 3 3 3 -0 -10 -7 2 7 9 9 7 5 4 3 5 11 12 10 12 10 10 11 9 10 13 8 5 11 16 15 11 9 10 10 11 10 9 8 7 6 4 3 4 5 4 5 6 8 10 7 3 2 3 5 6 6 6 6 6 7 7 7 6 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 3 2 2 2 3 6 8 7 5 5 5 5 5 6 7 6 7 7 7 7 7 8 8 8 8 7 7 7 5 5 5 6 5 4 4 3 3 3 2 3 3 3 4 5 5 6 6 7 7 7 8 8 8 8 8 9 11 12 14 15 16 16 16 15 13 12 14 15 14 12 10 10 10 10 9 9 10 10 10 10 9 9 6 3 3 4 5 6 7 7 7 6 8 14 20 21 17 13 10 9 7 6 4 4 2 -1 2 7 7 6 5 4 4 4 4 4 4 4 4 5 7 8 8 6 5 5 5 5 6 6 5 5 5 5 6 7 8 7 7 10 11 12 11 10 9 8 7 6 6 5 5 6 6 6 6 5 4 4 4 5 5 4 5 5 5 5 5 5 5 6 6 6 7 8 9 8 7 6 7 8 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 8 6 9 11 12 11 8 4 2 2 1 2 3 4 6 6 7 6 7 8 9 9 10 9 7 6 5 2 -1 -1 4 7 7 6 5 5 4 3 4 5 7 15 26 31 23 12 6 5 7 8 8 8 7 7 8 8 7 6 5 4 4 4 3 3 3 3 3 3 2 2 2 1 2 3 4 5 5 4 4 5 7 9 8 7 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 6 7 7 10 13 14 9 7 12 17 20 24 25 17 8 10 22 28 26 18 9 3 1 2 2 3 4 7 8 8 7 6 5 6 9 10 8 6 7 10 11 13 16 15 9 6 6 10 15 11 4 9 13 10 10 9 7 6 5 7 10 13 12 10 9 11 12 8 7 10 12 11 9 8 7 9 10 9 7 6 5 5 4 1 2 0 -9 -8 -1 1 5 10 9 7 5 3 3 10 16 12 8 8 8 9 10 11 9 3 4 10 14 12 9 9 9 10 10 11 9 7 6 6 4 3 5 5 4 5 7 9 9 5 2 2 3 5 6 6 6 7 7 6 6 6 4 4 4 5 5 4 4 3 3 4 5 5 6 5 5 5 4 4 5 5 5 5 5 4 5 5 4 4 2 2 3 4 4 3 3 3 3 3 3 3 3 3 4 7 8 6 5 5 4 5 6 6 6 6 7 7 7 7 7 7 7 8 7 7 7 6 5 5 5 5 4 4 3 2 2 2 2 2 2 2 3 4 4 5 5 6 6 6 6 6 6 6 7 8 9 11 12 13 14 15 16 15 14 12 15 16 15 12 10 10 10 10 9 9 10 10 10 11 12 12 10 6 3 4 5 7 7 7 7 6 7 12 16 19 17 15 13 10 8 7 4 3 3 2 1 4 6 6 4 4 3 4 4 4 4 4 3 3 5 7 8 7 5 4 4 5 6 6 6 5 5 4 5 6 7 7 7 8 9 10 11 10 10 8 7 7 7 7 7 6 5 5 5 5 5 4 4 5 5 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 11 9 10 10 10 8 7 5 4 3 2 3 4 5 6 7 7 7 7 9 11 11 11 9 7 5 2 0 -1 0 4 7 7 6 6 6 5 5 4 4 5 9 15 17 13 7 4 3 4 5 7 8 8 7 7 7 7 6 4 3 4 3 3 3 3 3 3 3 2 2 2 1 2 3 4 5 6 6 6 7 8 9 10 9 8 6 5 5 5 5 4 4 4 3 3 3 3 4 4 3 4 4 4 4 3 3 5 8 9 10 15 17 12 7 7 11 13 16 24 28 21 12 14 25 25 18 10 4 1 1 1 2 2 4 7 7 7 7 7 6 8 11 11 7 5 9 13 14 13 16 15 10 6 7 12 14 8 3 6 8 5 3 0 -0 2 3 7 11 14 14 11 8 9 13 13 11 12 12 11 10 9 8 8 8 7 5 4 4 5 4 2 1 -4 -6 -2 2 -1 0 6 7 7 8 7 7 10 12 9 5 9 11 8 8 10 5 2 5 10 11 9 8 8 9 9 10 10 8 6 5 5 4 3 5 6 5 4 6 9 9 4 2 3 4 6 7 7 7 6 6 6 5 5 4 4 5 5 4 4 3 3 3 4 5 6 7 6 6 4 3 3 4 4 4 4 4 4 5 4 4 3 2 2 2 3 3 3 2 2 2 2 3 3 4 4 5 7 8 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 4 4 3 3 3 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 7 7 8 9 9 10 12 13 14 13 11 12 15 14 11 9 9 10 10 10 10 10 9 9 10 12 13 12 7 4 5 6 7 7 7 7 6 6 6 9 12 15 14 12 12 12 9 5 3 1 3 4 4 5 5 4 4 3 3 3 4 4 4 3 3 4 6 7 7 5 4 4 4 5 6 6 6 6 5 4 4 5 7 8 9 8 8 8 9 9 8 8 7 7 7 6 6 5 4 4 4 5 5 5 6 6 5 5 6 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 12 9 8 7 7 7 7 6 6 6 6 6 5 6 6 7 7 7 8 9 10 9 9 8 7 5 3 2 2 3 6 8 8 7 7 7 6 6 6 5 4 4 6 6 4 2 0 -1 -1 -0 3 7 9 7 6 6 5 4 4 3 3 4 3 3 4 4 3 3 2 2 2 2 3 4 4 4 5 7 9 9 8 7 8 9 10 8 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 5 4 3 3 7 10 12 16 19 18 8 2 4 8 9 13 22 25 24 21 19 15 7 2 -1 -2 -1 0 1 1 1 4 6 7 8 9 9 8 7 9 10 7 7 12 16 14 14 18 16 10 5 6 9 10 7 7 7 4 1 -1 -2 -1 3 4 8 11 12 13 10 6 6 12 16 15 14 13 12 11 9 7 6 6 5 5 3 3 5 5 5 1 -5 -1 8 8 1 1 6 7 8 9 12 11 8 7 9 12 20 17 6 6 7 4 6 8 11 10 8 8 8 8 9 10 10 7 6 5 5 3 3 5 7 6 5 6 8 8 4 3 5 6 6 7 8 7 6 6 5 5 4 4 5 4 4 3 3 3 4 4 5 6 7 7 7 6 4 2 2 2 3 3 3 3 4 4 4 3 3 2 2 2 2 2 3 2 2 1 1 2 3 4 5 7 8 7 5 4 4 4 5 5 5 5 6 6 6 6 6 7 7 6 7 7 6 6 6 6 6 6 6 5 5 5 5 4 5 6 5 5 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 8 9 11 12 12 9 8 11 12 10 8 7 8 9 10 10 10 10 10 10 11 12 10 6 4 7 8 8 7 7 7 7 5 4 4 7 11 13 11 10 13 12 7 4 1 1 5 5 5 5 4 4 3 3 3 3 4 5 4 3 4 5 6 7 6 5 5 5 5 5 6 7 6 6 5 4 3 5 8 9 9 8 7 7 7 7 7 7 6 6 5 5 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 4 4 5 5 6 6 5 5 5 5 5 5 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 12 10 8 8 8 8 7 7 8 11 11 9 7 6 6 6 6 7 7 7 6 5 5 5 6 7 6 5 6 6 7 8 8 7 6 7 7 8 8 6 5 4 4 3 2 0 -1 -2 -3 -3 -0 5 9 9 7 5 3 3 3 4 4 4 4 4 4 4 4 3 3 2 2 3 4 3 2 3 5 8 9 8 5 3 4 6 8 9 8 6 6 5 5 5 4 4 3 3 3 3 3 3 4 5 5 3 3 6 10 13 15 17 17 11 3 -1 2 6 7 10 17 17 17 21 12 -3 -10 -8 -6 -4 -2 -1 -0 0 1 3 6 7 9 12 13 11 7 6 7 8 8 12 13 10 14 21 17 8 5 5 5 6 6 9 10 6 5 5 5 6 6 6 9 11 9 9 7 4 4 9 16 16 14 14 13 10 7 5 4 4 4 4 4 5 6 6 5 2 -0 7 15 13 2 -1 2 7 7 6 10 10 5 2 7 16 25 18 5 8 9 9 10 12 12 9 8 8 8 9 9 10 9 7 6 5 4 3 3 5 7 6 5 5 5 5 5 5 6 6 6 7 8 7 6 6 4 4 4 4 5 4 4 3 3 4 5 5 6 7 7 7 6 5 4 2 2 2 2 2 3 3 4 4 4 4 3 3 3 2 2 3 3 3 3 2 1 2 3 4 6 8 7 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 6 6 5 6 6 6 6 6 6 7 7 6 6 5 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 7 8 9 11 12 11 7 8 10 8 8 7 7 7 8 9 9 11 11 10 10 11 9 4 5 9 10 8 8 7 7 6 6 5 4 6 10 13 15 13 10 9 7 5 3 2 3 5 5 5 4 4 4 3 3 3 4 5 5 4 4 4 5 6 8 8 6 6 5 5 5 6 6 5 5 5 4 4 5 6 8 8 7 6 6 6 6 6 5 4 4 4 4 4 4 5 6 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 5 6 6 6 6 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 12 14 11 11 10 13 17 19 14 6 1 5 9 12 17 18 13 2 3 12 15 14 12 13 22 26 13 2 1 7 11 13 13 13 13 10 9 10 9 10 11 12 12 12 13 13 13 12 10 9 9 10 10 12 16 15 16 18 18 18 17 18 19 18 12 10 13 14 16 15 14 14 14 14 15 15 14 14 15 16 16 13 12 12 11 12 12 12 11 11 11 12 13 13 14 14 15 15 14 12 12 13 13 14 13 12 11 11 12 12 13 14 14 15 15 14 16 15 14 13 13 12 11 12 13 13 14 14 13 14 15 15 14 14 14 13 12 11 11 13 15 16 17 17 17 18 18 17 16 15 15 16 16 16 15 15 14 14 15 15 16 16 17 16 16 15 15 14 15 14 14 14 13 13 13 12 11 11 11 11 12 12 11 11 11 12 12 14 15 15 15 16 16 15 14 13 12 12 13 14 16 17 18 19 20 20 21 20 19 18 17 16 15 15 15 17 19 18 17 17 16 16 16 16 15 15 15 13 13 14 15 16 16 16 17 16 13 12 12 14 16 17 11 6 9 12 14 15 17 18 19 17 15 13 12 12 12 13 12 13 12 12 13 13 14 14 13 13 11 9 11 11 11 11 11 11 11 11 10 11 12 12 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 7 7 9 10 11 12 12 12 11 11 11 11 12 12 12 11 12 12 11 11 11 11 11 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 10 10 14 18 17 14 15 18 16 15 13 11 8 8 10 12 14 15 16 16 16 16 16 16 17 21 26 29 32 31 28 26 21 17 13 11 11 12 14 13 13 13 12 12 11 9 8 8 9 9 11 12 13 13 13 13 12 12 11 11 10 10 10 10 11 11 11 10 9 10 10 11 11 10 10 9 9 9 8 9 9 10 10 11 12 13 14 14 13 11 12 14 14 13 12 11 11 12 11 11 11 12 12 11 11 11 12 11 12 13 12 13 12 11 11 11 11 12 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 11 2 0 11 18 18 15 13 12 11 4 1 9 14 17 18 20 16 8 1 0 5 9 12 14 14 9 6 7 7 7 7 9 10 11 12 13 13 11 8 8 9 13 15 13 16 18 17 16 16 17 16 16 16 15 13 12 13 16 18 18 15 13 13 12 12 13 14 14 14 13 13 13 12 12 12 12 13 13 13 13 12 13 12 13 13 14 16 16 16 13 10 12 12 12 12 12 12 12 12 13 13 13 14 15 14 13 14 15 16 17 15 13 13 13 12 12 13 12 13 14 14 13 13 14 15 16 14 12 11 13 14 16 17 17 17 16 15 16 16 15 15 15 17 17 16 16 16 16 15 16 15 16 16 16 16 15 15 15 15 14 14 14 14 14 14 14 13 12 11 11 12 12 12 12 11 11 12 14 16 17 15 15 15 15 14 14 13 13 13 12 13 15 16 17 18 20 21 21 19 18 18 17 17 15 15 15 16 17 17 17 17 17 17 17 17 16 15 13 13 13 14 15 16 16 17 17 13 11 12 14 15 14 13 12 13 14 15 16 18 22 23 19 13 11 12 13 13 13 13 13 12 12 13 12 13 13 11 11 11 10 10 11 12 12 12 12 12 11 12 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 9 11 11 11 12 11 11 11 11 11 11 11 12 11 11 12 12 11 11 11 11 12 12 12 13 13 14 13 12 13 12 12 12 12 11 11 11 12 13 12 13 12 12 12 12 12 12 12 12 12 12 12 13 12 12 13 12 12 12 14 16 15 11 13 20 20 14 11 9 6 5 9 13 15 15 16 16 17 16 15 17 18 21 25 29 32 32 29 24 18 13 11 12 12 13 13 12 12 11 11 9 8 7 8 9 11 11 11 12 13 13 13 14 13 12 11 11 10 9 10 10 10 11 10 10 11 11 11 12 11 10 10 9 9 10 9 9 10 10 11 12 12 14 14 14 12 9 10 12 14 13 12 11 11 11 11 11 11 12 13 12 12 12 12 12 11 12 12 12 12 12 12 11 11 12 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 4 8 7 -2 3 11 16 18 17 14 17 14 3 -4 -2 7 13 15 14 8 6 8 8 8 9 10 11 12 12 13 11 9 7 8 12 16 17 16 15 15 15 15 14 14 15 14 13 13 14 15 17 18 18 16 14 12 10 9 11 13 13 12 12 13 12 12 12 12 12 13 13 13 13 14 13 12 13 13 14 15 17 17 14 12 11 11 10 10 10 11 12 12 13 13 13 14 14 14 14 14 14 15 18 17 16 15 14 14 13 13 12 12 13 13 14 14 14 15 16 16 15 14 15 17 18 18 18 17 16 14 13 15 15 15 15 16 17 17 17 17 17 17 16 16 16 15 15 15 15 15 15 15 14 14 14 14 14 14 14 13 11 11 12 12 12 12 12 12 13 13 14 17 18 18 15 13 13 13 13 14 13 13 12 12 13 14 15 17 19 20 20 20 18 17 17 17 17 16 15 15 15 17 17 17 18 18 18 19 18 15 13 12 12 13 15 16 16 17 16 14 11 12 16 20 17 10 12 14 15 15 15 15 16 17 14 9 7 9 12 14 14 13 12 13 12 12 12 12 12 11 10 10 11 12 12 13 13 13 13 13 13 13 13 14 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 10 11 11 11 10 10 10 10 10 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 13 12 13 12 12 12 13 13 14 13 14 16 15 11 8 8 9 11 13 15 15 15 16 16 16 16 16 16 18 21 25 30 31 31 28 20 14 10 11 12 13 13 13 12 11 11 11 10 9 9 10 10 11 12 12 12 13 13 13 14 14 13 12 11 10 10 10 10 10 10 10 10 10 11 12 13 11 10 9 8 8 9 9 10 10 11 11 11 12 14 15 13 11 10 10 11 12 12 11 11 12 10 11 11 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 12 12 13 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 23 23 14 10 12 6 -7 -1 9 14 15 12 9 9 9 10 11 11 12 12 12 12 11 9 8 8 10 14 17 16 15 13 13 14 14 13 13 13 12 11 12 15 16 16 15 14 13 12 10 9 10 11 11 11 11 12 14 12 11 11 11 11 11 12 13 13 14 14 13 13 13 14 16 17 16 13 12 11 11 10 9 9 10 12 13 13 14 14 14 13 13 13 14 15 17 18 17 16 15 15 15 15 15 14 13 13 14 14 15 16 16 16 15 16 16 18 19 19 18 17 15 15 14 14 14 14 15 16 16 16 18 18 18 17 16 16 15 14 14 14 14 13 14 14 14 14 15 15 14 13 13 13 12 12 12 12 12 12 13 13 13 14 15 16 17 19 19 18 16 14 13 13 13 13 12 11 12 14 15 16 17 19 20 20 19 18 18 18 17 17 16 15 16 16 17 17 18 18 19 19 20 19 16 14 13 14 14 16 16 17 17 15 13 13 16 18 21 15 8 10 14 14 14 13 12 11 10 10 9 10 12 13 13 12 12 12 12 12 12 12 12 12 11 11 11 12 13 14 14 13 13 14 14 13 14 14 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 11 11 11 11 10 10 9 9 9 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 12 13 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 13 12 10 10 11 14 15 15 15 15 14 15 16 16 16 16 15 16 19 22 25 29 31 31 24 15 12 11 12 12 13 13 12 12 12 12 11 11 11 11 11 11 11 12 12 12 13 14 14 14 14 13 12 11 11 10 10 10 10 10 9 9 9 11 12 13 13 11 10 8 8 9 9 9 10 11 12 12 13 14 16 14 11 10 10 11 11 11 11 11 11 11 10 11 12 12 12 11 11 10 10 11 12 13 13 12 11 10 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 9 14 14 13 12 12 11 10 11 11 11 11 11 10 10 9 8 9 11 14 16 15 14 13 13 12 11 11 11 10 9 8 9 11 11 11 11 11 11 10 10 10 10 9 8 9 11 15 15 11 10 11 11 11 12 12 12 12 13 14 13 12 13 14 15 16 14 12 11 11 11 11 10 9 10 12 13 12 13 13 13 13 12 12 13 15 15 15 15 15 16 16 17 16 15 14 14 14 14 15 15 15 15 16 15 15 16 16 16 16 17 16 16 16 15 14 14 14 14 14 15 17 18 18 18 17 16 15 14 13 13 13 13 13 13 14 15 15 15 15 15 14 13 13 13 13 13 12 13 13 13 14 15 16 16 17 17 17 18 19 19 17 15 13 12 12 12 13 13 14 15 16 16 18 19 19 18 18 19 19 18 17 16 16 16 18 19 19 20 21 21 20 20 18 17 16 15 14 15 16 17 16 16 15 14 14 15 17 17 14 13 14 15 15 14 13 12 11 11 11 12 12 11 11 11 11 11 11 11 12 12 13 12 11 12 11 12 13 13 13 13 13 14 14 14 14 14 14 13 12 12 12 12 11 11 11 12 12 11 11 11 11 11 11 11 11 12 11 11 10 10 10 9 9 10 10 11 10 11 11 11 11 11 11 11 11 11 12 11 11 12 12 11 11 11 11 12 12 11 11 11 12 12 13 13 13 13 13 12 13 12 12 11 11 11 12 11 11 11 12 12 12 12 12 12 12 12 12 13 12 12 12 13 14 14 14 15 17 15 12 11 11 11 11 11 14 16 15 15 14 14 15 16 16 16 16 16 16 17 20 21 24 29 31 30 22 17 13 12 12 13 13 13 13 12 12 12 12 12 12 11 11 11 12 12 11 12 13 14 14 14 14 13 12 11 10 10 10 9 9 9 9 9 9 10 11 13 14 13 11 10 8 8 9 10 10 11 11 12 14 15 15 15 13 11 10 10 11 12 12 11 10 10 10 11 12 12 12 11 12 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 10 11 11 11 10 10 9 10 12 15 15 14 14 14 13 12 12 11 11 10 10 9 8 8 9 9 10 11 11 11 11 12 9 5 5 9 14 18 15 11 11 11 11 11 11 12 12 12 12 13 12 12 13 14 15 15 15 13 12 12 12 12 12 11 11 12 12 11 12 12 11 11 11 12 13 14 14 14 14 14 15 17 18 17 14 13 13 14 15 15 15 15 15 15 15 15 16 16 16 17 17 16 16 16 16 15 15 15 15 14 15 17 18 17 17 16 15 15 14 13 13 12 12 12 13 14 15 16 16 15 15 14 14 13 13 14 14 13 13 13 14 15 17 17 17 16 16 16 16 17 17 17 16 15 13 13 13 13 13 14 14 15 16 17 18 19 19 19 19 19 19 18 17 16 18 21 24 25 24 25 23 20 18 17 16 14 14 15 17 19 18 16 14 13 13 14 17 18 17 16 15 15 14 13 12 11 10 9 10 10 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 14 14 15 15 14 13 13 12 11 11 12 12 11 11 11 12 12 11 12 12 12 12 12 13 12 12 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 13 13 13 13 13 13 12 12 12 12 12 11 12 11 11 11 11 11 11 11 12 12 13 13 12 12 13 13 13 13 13 14 13 14 15 13 9 8 10 12 12 12 13 15 15 15 14 14 15 16 16 16 17 17 17 18 19 21 25 28 31 29 23 19 14 13 13 14 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 14 14 13 13 12 11 10 10 10 8 9 10 9 10 11 11 12 12 14 14 12 10 9 8 9 10 10 11 11 12 13 14 16 16 14 12 10 10 11 12 12 12 10 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 9 5 3 3 3 4 6 7 6 4 1 1 4 6 8 10 11 10 9 8 7 6 6 6 5 5 4 4 4 3 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 4 3 3 3 3 3 3 3 2 3 4 3 1 2 3 3 3 2 2 2 2 4 3 3 1 0 0 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 2 2 3 4 4 4 1 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 18 25 27 33 50 57 54 44 33 19 6 4 3 2 1 0 0 0 1 0 0 0 0 0 0 1 7 18 28 39 39 43 49 56 54 54 52 54 56 49 40 26 12 12 17 13 6 0 0 0 0 0 0 0 1 1 3 2 1 1 0 1 0 0 0 0 6 13 28 43 63 98 120 122 107 86 70 63 65 65 60 66 83 110 118 96 75 83 121 142 134 116 103 93 87 87 88 81 59 35 24 31 45 58 64 65 63 58 54 54 56 64 74 79 78 80 84 82 78 77 84 96 106 108 108 110 110 112 113 113 115 116 118 121 125 130 132 133 132 130 128 128 128 129 128 126 128 131 127 119 112 117 121 113 108 93 84 73 65 73 75 75 91 91 72 78 100 102 88 82 92 110 126 135 133 127 124 117 99 77 48 21 7 2 0 0 0 3 24 62 92 100 100 103 104 109 118 128 140 152 147 142 147 153 156 156 156 147 150 164 188 193 189 189 184 174 159 140 120 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 nan nan 12 8 3 2 1 3 6 9 8 5 2 0 2 4 6 7 8 9 10 9 8 7 6 6 6 5 5 4 4 3 2 2 2 3 4 4 4 4 4 4 4 4 5 4 4 5 5 5 6 6 6 5 3 2 1 1 0 0 1 1 1 1 2 1 0 1 2 4 4 3 2 2 2 2 3 2 0 0 0 2 3 3 3 3 3 4 4 4 5 5 4 4 4 5 0 0 1 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 15 10 7 9 22 44 52 49 40 26 9 1 3 4 3 1 1 0 1 1 0 0 0 0 0 0 0 2 8 15 23 24 24 25 30 35 42 39 38 23 20 16 8 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 1 4 4 4 6 6 6 4 2 11 15 18 32 62 94 113 115 104 84 67 60 60 60 55 60 77 109 128 115 94 98 124 138 130 112 94 79 69 68 72 71 58 39 28 31 38 48 58 68 74 71 66 65 68 75 80 80 79 83 88 88 88 88 90 101 113 111 110 110 108 110 113 114 114 116 119 123 129 135 137 137 136 134 128 124 122 123 122 117 116 121 126 120 113 119 128 125 115 127 107 94 80 91 93 97 96 85 79 87 101 104 99 96 101 115 123 128 130 127 125 117 106 98 88 65 30 6 0 0 0 1 12 44 78 96 104 111 113 115 118 126 139 151 156 161 172 187 194 194 185 182 183 189 197 197 191 190 188 184 175 157 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 13 12 8 4 1 1 1 3 6 7 6 5 5 4 4 5 5 5 6 8 9 9 7 6 6 6 6 5 5 5 4 2 1 1 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 3 3 2 3 2 2 1 1 1 0 0 0 0 0 1 2 3 2 1 1 0 0 0 0 0 0 0 1 2 2 1 1 0 0 1 5 5 5 5 5 4 1 0 0 0 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 2 7 11 9 8 9 17 33 43 41 34 21 5 2 6 7 4 2 0 0 0 0 0 0 0 0 0 0 0 1 5 9 12 14 14 13 12 16 22 21 22 12 11 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 11 13 15 15 15 12 11 13 14 15 24 50 85 105 106 99 82 66 60 60 59 54 55 68 96 121 120 104 103 119 132 128 107 83 64 53 51 58 63 58 43 32 29 32 38 50 68 87 96 92 84 83 86 85 81 82 89 95 98 100 102 102 106 113 112 110 109 107 109 113 115 114 114 114 117 121 126 130 131 133 134 126 120 117 117 116 110 104 105 114 117 114 116 116 112 111 108 100 100 96 106 110 106 93 89 93 101 106 108 108 101 96 105 109 113 122 128 126 116 106 102 96 79 52 19 4 2 1 1 9 32 68 101 119 130 134 131 125 122 129 149 163 167 181 200 210 205 193 184 187 196 197 187 180 180 184 184 177 161 143 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 10 6 2 1 1 0 1 3 5 6 5 5 5 4 4 3 2 2 4 6 8 6 4 5 7 7 6 6 6 4 1 0 0 0 0 1 2 3 3 3 3 3 3 3 2 2 2 3 4 4 5 4 3 2 2 3 3 3 2 2 2 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 1 2 2 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 5 7 9 10 14 22 33 37 33 19 4 3 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 7 6 9 10 12 13 13 12 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 13 17 18 20 21 21 19 15 14 15 13 10 18 29 64 92 101 95 82 69 63 62 61 54 48 56 76 99 109 105 102 113 128 127 106 77 55 42 35 40 49 53 47 36 28 27 33 47 71 101 125 128 112 98 94 90 87 89 96 102 106 110 113 114 115 115 113 115 115 113 113 115 117 116 113 108 107 108 108 109 113 117 121 116 109 105 106 107 107 101 100 103 108 114 114 108 107 109 108 105 102 106 111 114 111 103 101 103 104 104 106 104 96 95 104 111 114 128 136 128 111 98 93 89 80 63 40 19 14 12 9 16 36 77 115 138 152 158 146 123 102 99 114 138 155 172 193 205 201 186 176 183 198 201 188 175 174 180 181 173 156 137 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 10 6 2 1 2 2 2 2 5 6 5 4 4 4 4 3 1 1 1 2 2 2 2 2 4 7 7 7 7 6 2 0 0 0 0 0 0 1 1 2 2 2 2 1 0 0 0 1 2 2 2 3 2 2 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 5 3 8 11 12 13 17 28 34 29 15 5 5 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 7 9 10 11 11 10 8 2 0 0 0 0 0 0 0 0 0 0 0 0 1 8 13 17 20 22 22 22 23 21 18 14 15 16 13 11 17 25 39 69 83 82 75 69 67 67 66 56 45 46 60 75 88 95 99 109 125 129 111 82 57 40 27 23 29 38 42 36 26 22 28 44 70 103 137 152 138 112 98 95 95 98 104 106 108 112 119 113 105 100 104 114 121 123 121 120 118 117 112 102 97 96 93 90 91 95 99 99 95 92 93 97 101 102 105 109 110 112 111 107 106 107 106 105 109 115 118 117 116 112 106 108 113 112 105 103 112 116 126 134 134 143 141 128 105 85 80 80 74 68 60 46 43 52 62 64 76 100 129 149 160 164 144 108 76 64 75 101 130 156 178 190 192 184 177 188 204 205 191 175 171 174 176 172 155 134 127 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 nan nan nan nan 11 12 9 5 2 3 5 5 3 5 7 7 6 6 5 5 4 2 1 1 0 0 0 0 0 1 2 4 6 8 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 3 3 3 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 6 2 3 8 13 13 12 14 23 30 22 12 8 6 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 5 8 9 9 9 9 6 1 0 0 0 0 0 0 0 0 0 0 0 0 4 12 16 18 20 23 22 22 20 18 16 16 18 18 14 12 11 16 27 45 54 56 57 56 60 67 73 65 50 43 51 65 73 81 93 106 122 130 119 97 73 51 30 17 14 20 26 27 21 18 21 33 54 82 116 144 148 129 111 105 107 109 107 104 101 102 105 95 91 86 87 101 113 122 123 122 120 116 109 99 92 89 87 82 78 78 81 84 85 85 87 91 95 99 106 113 116 113 108 102 100 103 106 110 117 122 126 123 120 123 118 113 119 124 118 110 111 116 133 142 147 149 139 122 103 86 80 82 79 70 61 63 78 102 123 139 126 119 131 142 144 143 130 98 65 46 46 65 96 128 156 176 183 186 188 199 210 205 190 173 166 167 167 167 158 144 137 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 9 12 12 9 6 6 7 7 5 5 6 8 9 8 7 7 6 4 2 1 1 0 0 0 0 0 0 1 3 6 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 11 15 8 2 4 9 14 15 12 11 18 23 16 10 9 6 1 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 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 14 14 15 18 20 19 17 14 13 15 19 18 15 18 8 12 30 40 34 32 36 39 43 56 73 76 62 48 48 59 69 75 84 98 113 123 122 111 94 72 46 23 10 8 11 15 15 12 12 17 30 48 72 102 125 133 131 130 125 120 111 102 92 85 79 81 81 76 76 84 94 101 106 110 113 113 107 99 92 89 88 86 82 76 75 77 81 84 87 89 91 94 100 108 112 108 100 96 94 100 106 112 119 125 130 132 125 121 119 109 113 117 120 116 115 127 138 141 142 143 139 125 111 102 99 97 84 67 60 72 100 128 150 155 141 128 123 120 123 126 119 98 71 47 41 48 67 97 131 163 183 194 197 201 204 199 186 169 161 161 163 165 161 152 144 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 nan nan nan nan 9 8 10 13 13 11 9 8 7 7 6 5 6 7 7 7 8 10 7 4 1 0 0 0 0 0 0 0 0 1 3 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 13 20 18 8 4 6 10 13 14 11 11 16 18 13 10 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 9 8 9 11 14 15 13 10 10 11 14 19 24 34 34 30 37 41 35 26 26 30 33 44 63 78 77 63 53 54 64 72 79 89 101 111 116 115 106 90 65 38 15 5 4 6 9 8 6 7 11 20 31 49 72 98 116 130 132 127 119 106 92 79 69 72 72 67 65 72 80 85 85 85 88 95 99 98 94 90 90 91 90 85 80 77 79 82 83 85 86 90 96 102 104 98 91 91 91 95 98 106 112 124 128 138 131 108 106 102 102 105 112 121 134 142 144 140 134 133 135 134 124 118 116 110 95 76 73 86 103 128 158 173 161 138 118 108 110 115 114 107 89 68 69 86 88 100 127 154 183 199 198 194 188 183 177 167 160 161 165 167 163 154 142 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 17 12 11 13 16 14 11 7 5 5 6 6 6 5 4 4 6 10 10 6 2 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 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 1 2 6 16 26 28 20 9 6 8 11 11 10 10 12 15 15 12 10 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 2 2 2 3 4 8 11 11 11 10 10 11 16 29 46 53 50 43 33 24 18 22 27 29 37 53 72 86 85 71 57 55 64 73 82 92 101 107 109 106 96 78 56 31 10 4 3 5 7 7 5 4 5 8 14 25 42 63 83 100 109 111 108 99 86 72 63 61 61 62 67 74 79 79 72 66 66 76 86 87 86 86 90 94 93 86 79 76 75 76 79 81 83 92 100 99 92 88 89 90 94 94 99 108 115 120 125 123 109 96 91 97 104 117 133 142 144 144 140 133 128 125 121 115 114 112 106 102 105 103 95 98 120 158 178 168 139 116 104 103 106 109 112 104 96 110 135 146 144 156 176 195 211 210 201 186 170 165 165 164 166 169 170 164 155 142 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 24 20 15 14 15 15 13 8 4 2 3 5 7 7 3 1 2 5 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 16 27 34 32 20 11 10 11 12 10 10 11 12 13 12 11 7 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 1 6 9 13 16 14 12 12 16 25 43 54 52 46 35 24 18 21 25 27 34 45 62 83 99 98 78 58 55 65 75 85 96 102 104 101 93 82 67 50 28 14 8 8 9 11 7 4 2 1 2 3 9 20 32 46 62 73 80 86 90 82 67 58 57 59 66 74 80 80 71 58 49 51 61 69 74 79 83 86 86 84 76 70 72 76 82 84 82 94 100 99 94 92 90 87 87 90 94 98 105 111 120 119 114 107 105 106 109 118 131 137 136 136 137 134 129 121 109 99 103 113 110 102 104 104 88 94 120 151 162 151 132 112 92 82 82 92 100 102 103 119 145 162 169 182 199 208 216 221 216 201 183 166 163 164 166 166 164 159 152 145 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 23 26 25 21 18 16 16 14 11 6 3 1 2 6 10 7 2 0 0 1 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 7 21 32 36 28 17 13 13 14 13 10 11 14 15 13 11 8 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 2 5 7 10 12 13 20 23 19 15 16 18 22 29 39 45 48 48 44 36 30 27 27 32 39 51 68 92 113 105 80 60 57 64 72 85 97 102 99 92 84 74 65 52 34 22 18 17 15 11 6 2 0 0 0 0 3 10 16 23 29 36 50 66 76 76 67 59 56 62 73 80 82 76 61 45 38 41 47 56 65 70 72 73 74 69 67 75 79 84 87 93 104 105 102 98 96 89 84 83 84 89 94 101 109 118 122 122 122 120 118 117 120 127 130 129 129 131 132 129 123 112 103 111 126 126 114 104 94 82 96 121 142 150 144 138 122 91 62 53 60 71 80 87 104 133 155 164 178 196 205 207 208 213 211 200 185 168 154 149 147 148 147 146 144 137 nan nan nan nan nan nan nan 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 18 23 24 22 20 18 16 14 11 7 4 2 2 7 9 6 2 0 0 1 3 5 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 0 0 0 3 17 23 27 22 15 15 15 15 14 14 15 17 16 12 9 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 2 8 18 27 32 30 26 28 29 23 14 9 10 14 18 23 32 44 55 58 54 48 37 31 30 33 41 53 70 94 112 111 89 68 60 60 67 81 93 97 94 89 83 78 69 54 40 33 28 22 16 9 3 0 0 0 0 0 1 5 7 7 9 17 31 50 66 72 67 59 56 61 66 67 66 60 47 37 33 34 38 44 48 53 61 62 58 63 70 73 77 78 88 102 110 107 101 96 87 83 81 81 87 96 108 120 127 133 138 139 137 134 130 130 132 133 132 130 130 131 131 127 116 109 118 131 129 123 115 101 93 108 128 138 142 151 165 156 117 75 55 54 58 66 80 100 126 148 153 161 182 194 187 189 204 209 199 192 177 151 134 125 126 132 137 140 137 nan nan nan nan nan nan nan 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 15 19 21 22 21 19 17 16 14 11 6 3 4 7 8 6 3 1 0 0 2 7 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 9 6 10 5 4 4 1 0 1 3 10 8 14 17 16 17 15 15 14 14 13 13 12 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 26 41 51 49 43 39 35 27 14 4 3 2 6 11 17 24 41 53 59 60 48 37 32 28 32 44 55 69 87 105 113 103 82 67 59 64 79 90 94 94 94 91 84 72 58 46 39 34 26 17 8 3 0 0 0 0 0 0 1 1 1 2 7 18 35 55 67 65 54 45 40 40 42 44 42 38 35 32 31 30 30 34 42 44 42 48 54 57 62 66 70 81 94 101 102 97 91 91 94 96 98 107 120 130 134 141 148 147 147 145 143 142 143 143 142 139 136 138 142 137 124 115 119 126 125 119 118 117 116 128 146 161 166 168 180 180 148 107 80 74 76 80 92 116 145 159 157 154 175 193 196 192 199 198 187 178 171 155 138 122 114 117 125 131 130 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 8 8 10 12 14 17 18 19 18 20 20 18 15 11 6 5 6 7 7 4 1 0 0 2 7 10 8 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 17 15 14 12 11 12 8 3 8 10 6 2 9 15 18 19 17 15 13 12 11 10 10 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 17 24 34 45 50 50 52 50 41 28 15 6 1 0 1 3 6 17 30 41 48 45 39 33 25 26 37 47 56 65 78 93 107 105 91 75 68 73 85 92 97 100 101 100 92 79 64 53 46 40 30 20 12 3 0 0 0 0 0 0 0 0 0 0 2 8 24 43 55 50 36 22 19 24 33 35 36 34 32 31 30 28 29 28 29 35 45 52 55 57 60 59 60 67 82 95 100 105 112 114 113 112 114 121 125 130 137 143 145 147 145 145 146 148 150 150 149 148 150 155 153 140 130 128 129 131 133 138 136 132 138 153 173 187 184 178 179 162 132 105 100 104 106 112 132 161 175 173 169 176 190 202 206 202 188 175 166 159 152 144 135 125 116 116 118 117 113 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 7 7 7 7 8 9 10 11 11 12 14 18 20 18 12 6 3 4 7 8 5 2 1 0 5 11 14 15 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 10 17 18 19 21 17 15 12 3 11 10 3 3 10 15 19 20 18 16 14 12 11 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 16 19 22 24 28 33 38 48 59 61 52 39 24 10 4 1 0 0 1 8 17 23 31 30 23 15 12 25 36 47 54 59 68 78 91 96 92 85 84 89 96 98 100 105 111 112 105 90 74 62 54 46 36 25 12 3 0 0 0 0 0 0 0 0 0 0 0 2 9 21 27 24 18 14 16 22 27 32 28 26 27 27 27 29 30 32 40 52 64 69 68 73 74 63 56 68 85 98 109 120 126 129 126 122 121 120 125 133 138 141 142 142 140 140 144 150 153 155 155 157 161 162 153 141 135 134 138 147 158 151 134 133 145 165 183 181 168 166 159 138 117 116 125 129 131 142 161 180 189 186 184 190 199 205 202 186 168 158 155 148 141 136 134 133 126 114 110 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 1 3 4 4 3 2 2 2 1 0 3 8 14 18 16 10 4 2 4 8 9 7 4 2 3 7 13 18 19 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 27 31 30 27 21 15 13 7 8 3 1 7 13 16 17 17 16 16 16 14 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 14 18 18 18 18 20 25 34 47 56 59 59 47 21 10 3 0 0 0 0 3 3 11 12 9 4 2 10 21 32 41 46 51 56 65 76 81 83 83 88 97 100 98 97 105 119 124 116 102 87 73 61 51 38 23 11 4 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 12 14 10 11 16 20 24 24 22 20 20 23 28 35 44 56 68 75 79 91 99 84 64 67 77 89 99 111 122 130 133 129 126 121 117 120 126 131 135 137 136 132 130 135 144 152 155 156 158 160 157 147 137 131 133 141 149 143 127 122 131 151 172 174 163 154 150 135 123 121 132 139 142 149 165 183 194 195 193 195 197 200 201 192 174 155 146 140 134 130 136 150 148 134 128 126 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 1 1 0 0 0 0 0 0 0 1 3 7 11 10 6 4 3 6 8 10 10 8 5 4 6 11 16 19 18 16 14 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 26 38 38 34 30 24 19 17 18 17 5 4 12 15 14 14 13 13 14 15 14 12 8 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 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 6 12 14 14 14 14 15 17 22 29 37 48 56 56 39 17 4 0 0 0 0 0 0 0 2 1 0 0 2 8 19 25 29 32 36 42 52 61 66 67 71 83 93 92 85 84 100 121 129 124 114 99 82 67 52 38 24 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 5 1 4 10 20 24 21 18 16 17 21 30 43 54 63 70 79 95 110 107 90 81 76 79 81 87 98 109 119 123 125 122 116 111 109 115 122 127 130 130 125 119 123 135 146 150 150 153 156 154 146 135 130 134 135 125 120 117 121 137 157 168 160 150 148 142 139 137 141 148 151 157 170 183 189 193 193 194 193 191 189 188 183 161 139 130 128 128 136 151 160 160 153 135 nan nan nan nan nan 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 0 1 4 7 7 7 6 7 8 10 13 13 10 6 4 5 9 14 18 20 22 19 13 7 3 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 14 14 34 40 36 32 29 24 23 28 27 17 14 17 15 13 12 12 12 12 12 13 12 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 1 0 1 4 6 6 3 2 1 1 6 11 13 12 11 10 10 11 13 17 22 32 44 50 48 35 14 4 3 1 1 0 0 0 0 0 0 0 0 1 12 18 18 18 17 21 29 39 47 50 54 63 74 80 77 69 76 101 122 124 124 119 106 87 68 54 41 30 16 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 3 12 19 22 23 22 21 21 26 36 46 55 65 74 87 104 110 109 100 87 76 67 62 65 76 90 105 112 113 114 108 100 100 106 114 119 124 127 121 114 118 130 139 142 144 147 152 153 146 142 142 140 131 129 129 131 140 152 158 151 143 145 154 160 160 162 164 168 170 174 176 179 194 193 190 190 181 172 174 174 161 140 124 119 119 124 137 158 172 166 140 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 8 8 8 8 11 15 14 11 7 5 5 8 12 14 19 20 20 18 13 8 3 1 1 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 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 4 38 34 37 35 32 28 30 36 36 32 25 19 14 11 10 10 10 10 10 11 10 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 1 1 1 1 1 1 2 1 5 9 12 12 10 7 3 3 8 12 12 11 9 8 6 6 8 11 16 26 34 42 49 49 37 23 16 7 6 3 0 0 0 0 0 0 0 0 2 9 13 12 10 10 13 19 26 33 41 51 60 69 74 68 64 83 103 108 109 113 111 97 81 68 56 44 30 16 7 3 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 17 24 28 30 26 24 28 34 43 56 64 79 100 106 106 105 94 80 66 54 44 45 56 74 89 100 108 105 91 86 90 99 105 111 117 124 120 117 121 129 134 139 138 141 146 148 149 150 149 148 146 147 150 154 159 160 151 139 139 152 165 174 178 181 186 187 188 183 190 194 192 189 186 179 172 173 174 168 148 126 116 108 105 122 155 174 170 149 134 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 6 8 8 8 10 15 18 15 11 8 7 7 8 9 10 12 19 22 18 14 8 5 5 4 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 31 11 38 36 32 30 34 43 44 41 30 18 12 10 9 9 9 9 9 11 9 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 1 2 2 2 1 4 8 13 15 13 9 7 6 8 10 10 10 8 7 4 2 4 8 12 19 24 28 36 46 47 42 32 21 15 10 4 1 0 0 0 0 0 0 0 0 3 4 3 3 6 10 13 16 24 38 51 60 66 66 64 72 80 83 82 80 84 83 77 74 66 54 42 30 20 14 12 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 15 17 23 22 18 16 17 24 35 46 60 79 94 100 100 95 85 73 62 49 38 36 40 51 70 89 97 87 78 78 84 92 99 105 115 122 125 127 128 132 136 133 130 132 136 141 146 150 151 151 151 155 160 163 163 158 147 144 154 166 174 181 186 192 196 195 187 184 186 187 182 176 173 173 178 183 180 163 141 128 116 104 116 150 175 172 158 150 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 7 11 18 18 14 12 10 10 9 8 8 11 17 22 21 15 10 9 9 9 7 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 19 19 39 38 37 36 37 44 48 43 24 14 11 10 9 8 8 8 10 11 9 4 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 1 2 2 2 1 1 6 14 17 15 11 9 8 7 6 7 7 7 6 5 4 5 8 10 10 11 15 21 28 37 44 45 32 24 19 12 5 1 0 0 0 0 0 0 0 0 0 0 0 2 5 8 9 12 20 36 46 53 57 56 55 53 55 54 48 48 51 54 59 61 56 48 40 32 27 26 23 18 13 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 4 3 4 8 6 3 2 6 11 20 31 45 64 81 89 91 87 79 73 65 55 43 33 24 30 54 80 84 79 77 79 86 92 98 105 114 125 131 133 133 129 124 122 123 126 130 138 144 143 141 142 147 152 155 158 156 151 152 157 159 163 169 176 182 188 191 185 177 176 180 179 171 168 171 179 187 186 176 158 139 128 116 119 145 168 167 160 158 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan 18 12 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 11 13 12 9 8 9 9 9 7 6 8 13 16 15 13 12 10 6 2 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 28 37 37 46 53 50 50 52 30 10 5 9 10 9 10 11 11 10 8 7 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 1 2 2 0 0 1 2 1 0 0 1 2 3 3 2 2 1 1 2 6 12 11 8 8 8 8 7 4 0 0 0 1 3 4 4 3 2 0 0 1 8 13 19 32 48 54 51 43 28 15 7 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 7 13 19 22 22 22 23 17 13 10 8 6 10 13 18 26 33 37 39 39 38 38 40 40 39 36 30 20 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 8 23 43 57 67 77 83 80 75 66 50 39 35 47 76 94 94 90 95 100 98 93 93 98 109 125 138 138 120 105 103 108 113 119 126 124 122 126 134 140 147 154 156 157 159 162 156 150 150 154 159 162 157 145 148 162 166 179 180 177 175 169 173 178 177 169 156 151 152 155 153 147 141 140 142 144 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 30 22 12 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 6 6 5 6 8 10 10 8 7 8 11 15 16 13 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 16 24 32 34 42 51 52 52 52 31 9 4 10 12 12 13 12 9 5 3 3 6 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 7 5 3 4 4 5 5 5 4 5 5 5 5 4 4 4 5 5 5 4 3 4 7 11 13 12 9 6 6 8 8 8 7 3 1 0 0 1 1 1 0 0 0 0 2 7 11 17 27 41 50 56 56 45 28 15 8 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 3 7 12 15 16 17 18 16 11 6 3 2 4 7 9 18 28 32 35 38 39 40 43 44 44 44 41 33 17 3 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 5 15 35 44 58 76 80 79 72 62 58 57 52 73 98 99 91 94 103 106 98 91 86 90 105 128 135 118 100 93 98 105 108 110 114 120 128 136 143 148 151 153 155 158 161 161 159 153 148 151 157 156 151 147 153 160 172 174 171 167 163 165 168 168 161 150 145 148 153 155 150 144 143 142 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 45 36 27 17 10 8 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 2 3 6 9 12 12 10 8 8 10 13 13 10 4 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 22 29 34 38 44 57 55 48 32 13 8 11 14 14 13 9 4 1 0 1 4 6 3 1 0 0 0 0 0 0 0 0 0 1 2 3 5 9 11 10 9 7 7 7 7 7 7 7 8 8 7 6 6 5 5 5 6 6 5 4 6 11 17 18 15 11 8 8 9 8 8 7 5 2 0 0 0 0 0 0 0 0 0 3 7 10 16 23 33 42 49 56 59 54 41 27 16 9 7 6 3 3 0 0 0 0 0 0 0 0 0 0 2 5 10 12 13 14 14 13 10 8 5 4 5 8 12 18 24 26 31 33 34 35 39 37 43 43 44 33 9 4 0 0 2 8 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 19 30 41 56 67 74 74 68 67 65 61 73 96 103 98 98 106 112 112 106 94 86 91 111 127 123 105 97 99 104 106 107 112 119 126 134 144 151 152 152 153 155 158 160 163 155 145 147 155 158 154 146 143 148 158 162 162 159 155 154 157 156 144 130 131 140 150 156 155 152 149 147 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 59 51 46 36 23 16 10 8 7 6 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 2 6 11 13 12 11 9 9 10 11 10 5 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 21 26 28 32 33 40 40 39 33 19 12 12 13 13 10 5 1 0 0 0 3 4 2 0 0 0 0 0 0 1 2 4 5 5 6 7 9 11 12 11 10 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 3 3 8 16 20 19 16 13 11 10 9 8 7 6 5 3 2 1 0 0 0 0 0 0 3 7 10 15 20 23 27 33 41 52 64 67 58 39 24 17 13 13 11 3 1 0 0 0 0 0 0 0 0 0 1 2 6 8 10 12 13 12 11 9 7 5 4 8 15 19 21 24 28 29 27 28 25 28 33 41 39 19 11 4 2 6 14 14 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 8 21 31 40 52 64 72 72 71 68 62 68 90 105 108 111 117 113 114 116 112 101 94 96 106 114 115 115 117 118 119 120 120 117 115 121 133 145 151 153 154 155 156 158 160 155 148 151 158 161 156 146 137 134 137 143 150 153 152 151 151 145 124 111 117 133 147 155 154 150 146 144 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 73 66 62 64 58 44 29 17 11 9 10 10 9 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 12 13 13 11 11 10 10 6 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 17 21 19 20 20 26 31 24 22 16 14 12 11 7 2 0 0 0 0 1 1 0 0 0 0 0 0 0 1 5 6 7 7 8 9 10 11 10 9 8 8 7 7 7 6 6 6 6 6 6 5 6 6 6 6 6 6 4 2 0 3 11 18 21 21 18 15 13 12 12 11 10 9 8 5 4 2 0 0 0 0 0 3 7 11 15 17 16 15 16 20 30 48 65 76 68 49 40 33 25 19 14 6 2 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 8 8 8 6 4 1 1 3 10 13 18 22 22 20 21 22 20 20 26 30 23 15 8 5 9 14 20 20 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 8 5 4 13 24 32 41 55 68 73 73 70 62 63 84 102 112 117 120 108 94 101 114 114 105 94 88 94 107 118 125 127 132 141 139 124 110 110 119 127 135 148 157 157 156 157 158 155 150 153 161 163 157 148 139 133 132 133 140 147 152 153 150 136 110 102 112 132 149 153 148 143 138 135 136 137 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 87 77 73 79 77 63 44 26 16 14 15 18 19 16 12 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 12 14 14 12 12 11 9 5 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 1 2 4 7 4 10 14 15 15 22 24 20 17 14 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 6 5 6 8 9 10 9 8 6 7 7 7 7 6 5 4 4 5 5 4 5 5 5 5 5 4 2 1 0 1 6 13 19 23 23 20 18 18 18 20 23 20 16 8 6 3 1 0 0 0 0 1 5 10 13 15 14 12 11 12 20 38 59 77 83 71 61 56 41 24 20 16 10 4 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 2 0 0 0 0 0 3 5 7 9 8 10 13 14 14 17 20 19 12 6 6 10 22 36 39 31 18 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 10 6 9 17 26 35 48 62 70 72 74 70 69 80 95 109 116 117 108 96 94 104 112 109 97 84 79 85 96 105 110 116 130 141 132 118 111 111 111 116 133 149 155 155 155 151 148 147 151 157 158 153 146 138 135 135 138 138 143 148 151 148 129 110 104 111 128 146 149 144 137 130 128 131 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 106 93 85 90 86 74 56 40 28 24 24 25 25 22 18 12 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 2 6 10 11 12 13 14 13 10 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 14 21 24 21 18 15 12 8 4 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 4 4 1 2 5 8 9 9 7 6 6 7 7 7 6 5 4 4 4 4 4 4 4 4 4 3 3 2 1 0 0 2 7 13 19 22 23 23 23 23 29 38 41 37 26 16 6 1 0 0 0 0 0 2 7 10 12 13 14 16 19 31 51 68 82 88 83 73 64 51 35 26 23 18 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 3 4 7 11 12 6 3 7 14 31 47 52 48 38 22 4 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 10 8 7 9 16 29 40 54 64 69 74 76 74 76 87 103 113 115 109 107 104 104 109 108 100 89 81 76 76 80 82 83 90 106 114 116 112 105 106 111 121 136 148 154 153 143 137 140 149 155 152 144 135 128 128 131 132 131 132 136 139 134 123 114 108 110 118 128 134 134 130 124 122 127 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 88 93 94 91 83 73 64 60 58 53 46 39 30 25 20 14 8 5 4 3 2 4 3 0 0 0 0 0 0 0 0 1 2 3 4 3 0 0 0 1 2 4 6 10 16 16 13 9 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 14 18 23 20 18 15 12 10 9 8 6 3 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 2 7 9 8 7 6 6 7 7 6 5 5 5 6 7 8 5 4 4 5 6 7 7 6 5 3 2 2 3 7 12 16 20 23 24 22 31 40 48 50 44 30 19 10 5 2 0 0 0 2 6 10 12 17 22 29 43 58 73 80 83 87 87 84 73 60 49 36 28 22 16 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 2 4 4 6 11 19 36 49 54 57 52 41 22 6 1 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 7 6 8 22 32 45 54 58 65 71 73 71 78 94 106 112 112 114 116 115 114 111 105 98 90 81 71 67 64 59 53 54 62 74 87 98 108 112 120 131 143 153 153 139 129 134 147 156 155 143 132 124 123 123 119 117 118 123 126 118 110 109 108 110 113 116 119 120 119 118 118 121 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
50 64 86 100 95 80 68 64 71 78 83 78 69 55 38 26 18 11 9 8 7 6 6 5 2 1 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 1 5 12 15 13 10 7 5 5 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 1 7 13 13 15 20 19 17 15 12 12 12 11 9 6 2 0 0 0 0 2 2 1 1 2 2 1 0 2 2 1 2 6 8 9 8 7 7 7 7 6 5 4 7 12 16 16 15 16 17 16 16 18 20 19 16 11 8 5 3 4 5 10 14 17 19 18 22 29 35 42 43 35 25 20 18 16 13 8 6 10 14 17 20 26 33 45 65 76 79 78 74 69 78 84 83 72 60 49 37 25 19 13 6 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 1 3 10 15 20 28 40 46 52 55 54 43 25 10 2 0 0 0 0 1 4 3 0 0 0 0 0 2 4 5 5 5 13 23 33 40 45 49 54 60 62 68 81 94 101 107 113 118 124 125 116 106 100 94 83 74 64 58 48 34 23 23 30 47 64 79 98 112 123 135 144 152 146 131 126 134 142 146 142 136 130 126 122 115 109 110 113 109 97 92 100 103 106 108 109 112 115 115 114 110 112 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
64 73 93 112 110 92 74 66 68 81 97 96 90 84 61 41 30 19 15 12 10 8 8 7 5 3 1 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 1 5 9 11 10 7 3 4 5 7 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 14 13 16 15 15 14 12 13 14 13 11 8 3 0 0 0 2 4 4 3 3 3 3 2 1 2 4 4 4 6 8 9 8 7 7 7 7 6 4 4 8 14 16 16 16 16 15 15 19 24 25 22 18 16 13 9 6 5 3 7 10 13 15 15 15 17 21 26 29 29 26 24 24 24 24 25 26 28 31 34 38 40 42 47 56 62 59 56 56 53 60 69 80 83 72 58 43 30 24 22 17 10 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 2 3 4 2 6 12 15 15 18 26 34 43 51 53 45 27 8 0 0 0 0 2 8 7 0 0 0 0 0 0 2 4 2 1 4 12 20 26 31 34 38 42 47 52 65 81 88 95 106 114 123 131 116 100 94 89 79 72 63 56 46 31 19 14 15 22 34 50 71 91 106 119 128 140 146 139 127 116 113 112 116 121 124 123 120 117 114 109 103 90 75 78 92 93 98 104 105 109 113 115 111 103 99 103 106 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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96 85 77 70 66 64 60 55 50 49 51 59 75 91 98 91 78 74 85 98 106 107 100 91 80 64 46 34 29 29 32 34 37 40 44 59 90 111 108 96 78 59 47 36 28 24 22 19 18 17 20 23 17 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 1 0 0 0 0 1 1 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 13 22 40 54 51 40 32 26 25 23 14 9 7 3 1 0 3 10 22 26 20 14 14 16 14 8 8 8 7 8 10 12 13 15 19 20 21 20 19 17 14 10 9 12 15 14 13 15 17 17 9 3 3 3 6 9 11 16 18 19 20 19 17 16 17 18 18 17 14 11 10 8 8 8 10 11 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 18 25 32 37 39 38 35 30 24 16 8 4 3 4 6 13 16 17 18 18 16 15 14 16 14 7 1 0 2 6 14 20 22 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 23 28 34 33 30 37 48 53 39 15 3 0 0 0 0 0 0 1 4 9 13 13 9 5 0 0 0 0 0 0 0 0 0 4 11 17 19 19 18 20 21 26 27 26 27 28 29 29 27 23 18 14 11 8 5 3 1 0 0 0 1 1 2 3 4 6 11 17 23 27 32 35 34 32 31 30 30 30 29 26 20 15 11 10 11 14 20 24 24 26 30 32 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
110 101 91 78 68 63 62 58 52 47 45 44 48 66 91 117 122 108 104 110 118 122 115 101 85 69 54 44 42 42 43 41 38 36 36 41 57 82 97 102 100 90 74 55 39 31 27 25 23 22 24 28 24 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 3 3 3 2 0 0 0 1 1 1 2 2 2 2 1 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 0 0 0 1 5 10 16 25 40 53 51 39 33 29 27 22 10 7 6 5 4 4 5 14 28 32 27 21 19 18 15 8 6 6 6 9 15 17 18 19 20 22 22 22 22 22 19 16 12 12 12 14 16 17 14 10 2 2 3 3 4 9 14 18 20 21 21 20 18 18 18 18 18 17 15 14 12 11 12 13 17 19 18 15 12 10 8 6 3 2 3 2 0 0 2 1 0 1 1 2 2 3 9 17 23 25 24 24 25 24 21 20 16 14 14 13 13 17 19 18 20 22 19 19 19 19 17 11 3 0 0 2 6 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 22 31 37 40 43 40 40 50 55 41 19 7 3 0 0 0 0 0 0 0 1 9 12 10 7 2 0 0 0 1 2 2 2 1 2 7 14 17 17 18 20 22 23 24 25 27 28 28 29 28 24 18 14 14 15 10 7 5 2 1 0 1 1 2 3 3 4 6 10 16 22 30 35 34 31 29 27 27 28 29 26 21 15 11 10 10 12 15 18 20 23 26 29 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
110 113 110 97 78 64 60 58 54 50 46 43 40 46 70 108 142 144 127 122 129 135 127 110 91 73 58 51 53 59 61 56 47 41 40 40 46 59 69 78 86 94 92 80 61 43 33 28 27 28 33 39 38 26 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 3 2 1 1 1 1 1 1 1 2 2 2 1 1 1 0 0 1 1 1 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 17 23 29 38 46 40 33 29 26 20 10 7 6 6 5 5 6 14 26 33 30 24 20 18 15 9 5 5 6 11 18 19 19 20 22 22 23 23 24 23 21 16 11 12 14 15 14 9 3 2 3 3 3 3 4 8 14 18 20 22 21 20 19 17 16 16 16 17 18 18 17 18 22 28 32 34 34 34 32 30 28 26 23 20 20 20 21 21 21 20 17 11 11 14 15 17 20 25 29 30 29 29 31 30 26 22 20 20 24 27 25 26 27 28 31 35 37 37 34 30 24 16 8 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 27 42 54 59 58 52 47 52 57 48 30 16 9 3 0 0 0 0 0 0 0 4 9 10 9 5 1 0 0 0 2 4 6 5 3 4 11 15 16 18 20 21 21 22 23 25 26 27 27 26 24 18 14 15 18 18 16 12 7 4 3 2 1 2 2 3 4 4 5 10 16 24 31 34 32 28 25 23 23 24 23 19 15 12 11 10 8 9 11 16 22 28 31 31 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
89 103 113 115 101 78 62 58 56 54 52 49 44 43 56 83 112 122 114 104 104 110 111 106 95 83 68 58 58 64 66 61 55 53 56 60 71 78 73 68 69 77 90 98 91 68 44 35 30 32 39 47 51 44 28 13 4 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 2 2 2 2 3 4 3 3 2 1 1 1 1 1 1 1 2 1 2 2 1 1 2 2 3 3 3 3 3 3 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 14 20 26 28 29 33 41 34 30 25 17 9 7 6 6 6 6 7 14 23 29 28 23 18 17 14 7 6 5 5 10 16 18 19 20 22 21 20 20 22 23 20 15 12 12 13 11 8 4 3 3 4 4 4 4 5 8 12 16 18 20 20 20 19 17 15 15 16 17 18 20 24 29 35 41 47 51 53 54 55 55 53 51 51 49 46 45 47 51 51 49 46 46 43 40 40 41 42 42 43 45 47 50 52 55 52 41 33 31 34 37 38 37 37 40 43 46 50 52 52 47 38 27 18 10 6 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 31 47 66 79 79 69 56 54 61 57 40 27 20 11 3 0 0 0 0 0 0 2 7 10 11 8 3 0 0 0 0 2 7 8 7 6 11 14 15 15 16 15 15 16 19 20 22 24 26 25 22 19 17 18 22 25 25 22 16 10 7 6 4 3 3 3 4 4 5 7 11 17 24 29 29 26 22 17 15 17 18 16 14 14 13 11 8 7 8 16 26 34 38 37 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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