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