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 6 5 5 4 4 4 4 4 5 5 5 3 2 2 3 2 2 2 3 4 4 4 3 3 2 2 2 2 3 3 3 2 2 1 1 2 2 3 3 3 4 4 4 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 5 4 4 5 4 4 4 5 7 8 8 7 5 5 4 4 4 5 5 5 6 7 8 9 8 5 4 3 3 7 12 12 9 8 7 7 6 1 3 4 5 4 2 3 7 9 6 7 8 8 7 7 6 3 2 2 2 2 1 1 -0 -1 1 6 6 4 3 5 7 7 3 0 -0 0 1 0 2 6 4 -1 -2 -1 1 1 1 3 4 7 9 6 2 1 -1 -5 -7 -5 -1 10 27 35 23 11 6 5 5 6 8 9 8 7 6 5 5 4 3 3 2 2 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 4 4 3 2 2 3 3 4 5 7 5 2 2 4 5 5 3 4 5 5 4 4 4 3 2 2 3 4 3 3 3 4 4 5 7 4 3 3 3 3 2 2 2 3 3 3 4 4 3 3 3 3 4 4 4 3 4 4 4 5 4 4 3 3 3 3 3 3 3 4 4 4 5 5 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 5 6 6 5 5 5 4 4 4 4 4 4 4 6 8 12 18 22 16 11 10 8 6 -0 -5 -9 -9 -10 -4 1 2 5 5 2 1 -0 -0 -0 -6 -11 -12 -13 -12 -10 -4 2 5 5 5 6 8 11 15 17 17 13 8 8 8 7 7 7 7 9 11 11 9 10 12 12 10 10 11 9 7 6 5 5 5 5 5 4 3 4 7 8 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 5 5 5 5 4 4 4 4 5 5 5 5 3 3 2 2 2 2 2 3 4 4 4 3 2 2 2 2 2 3 2 2 2 1 1 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 4 4 6 8 8 7 6 4 4 4 3 4 5 5 5 7 8 9 7 5 4 3 6 12 16 12 9 8 9 10 5 2 2 2 3 2 2 1 5 5 4 6 8 8 8 9 8 6 3 2 1 2 4 3 1 -1 -1 3 5 4 3 2 0 -0 0 1 0 -1 -2 -2 1 4 3 -1 -1 0 -1 -1 1 3 7 9 5 -2 -5 -3 0 1 2 3 6 15 26 27 15 7 5 5 5 7 9 9 8 7 5 5 5 4 3 2 2 3 4 4 4 5 5 4 4 4 5 5 5 5 4 4 4 2 2 3 4 4 2 2 3 3 3 4 5 5 4 3 4 5 5 3 3 5 5 6 5 4 3 2 2 3 4 5 4 4 3 3 2 2 1 2 2 2 2 2 2 2 3 3 4 4 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 5 5 6 6 5 5 4 4 4 4 4 4 4 4 5 7 11 17 18 16 14 14 15 13 10 8 4 2 2 5 7 9 9 7 6 3 1 2 2 -2 -6 -7 -7 -7 -4 1 5 5 5 5 5 5 7 9 11 10 5 5 5 5 5 5 6 6 7 6 5 6 7 7 7 8 9 8 7 6 5 5 5 5 5 4 4 4 5 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 5 5 5 5 4 4 4 4 5 5 5 5 4 4 3 3 2 2 2 3 4 4 3 3 2 3 3 3 3 2 2 2 2 1 2 2 2 3 3 3 3 3 3 3 3 3 2 2 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 6 6 5 4 4 4 5 6 6 7 7 7 6 6 6 6 6 6 5 4 6 7 8 7 6 5 4 4 4 4 4 4 5 6 8 9 7 6 5 4 9 17 19 13 7 7 8 9 3 3 3 -0 -1 2 4 1 1 2 3 2 3 2 2 4 7 6 3 1 1 3 4 4 4 2 0 3 5 3 0 -2 -3 -3 -2 -1 3 4 0 -3 -1 3 5 3 2 1 -1 -0 2 7 10 5 -4 -8 -7 -1 4 8 9 10 14 20 24 18 9 5 5 5 6 8 10 10 8 5 5 5 4 3 2 3 2 3 4 5 5 4 4 4 4 4 5 5 5 5 5 4 2 2 2 4 4 3 2 2 3 3 3 3 5 6 3 2 4 6 5 4 5 6 6 5 4 4 3 3 3 4 5 5 6 6 5 3 2 1 -3 -5 -1 0 -3 -4 0 2 3 4 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 3 4 4 4 5 5 4 3 3 2 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 4 4 5 4 4 4 4 4 6 9 13 14 14 13 12 13 12 10 8 9 8 8 7 5 5 5 6 5 3 2 4 5 4 5 5 4 4 5 6 7 6 6 5 5 5 5 6 6 4 4 5 5 5 5 5 5 5 6 5 6 6 6 6 7 8 8 7 6 5 5 5 5 5 4 4 4 5 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 4 5 5 5 5 4 3 4 5 6 6 5 5 5 5 4 3 3 3 3 3 3 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 2 3 3 2 2 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 4 5 6 6 5 4 4 3 3 4 3 3 4 4 4 4 4 5 5 5 5 6 5 4 4 4 5 6 7 7 7 7 7 7 7 7 7 6 6 5 5 6 7 7 6 5 4 4 4 4 4 4 5 6 8 8 7 6 4 5 9 14 15 13 8 4 6 7 3 5 8 3 -0 6 10 6 -1 -1 2 0 -0 -2 -2 -1 1 0 -1 -1 1 1 1 5 9 7 5 6 6 3 0 -0 -1 -1 -3 -3 2 5 4 1 -1 3 10 8 4 3 3 5 6 10 8 -1 -6 -5 -2 4 9 11 13 15 18 23 21 14 7 5 5 5 7 9 10 9 7 5 5 5 3 3 2 3 3 4 5 5 5 5 4 4 5 5 5 6 5 5 5 4 2 2 3 4 4 3 2 2 2 2 2 3 5 5 2 1 5 7 5 5 6 7 5 4 4 5 4 5 4 5 5 5 6 8 7 5 3 4 0 -7 -5 -3 -5 -6 -1 3 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 4 3 3 3 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 5 6 7 9 10 8 8 8 8 7 7 8 9 9 5 2 2 4 6 7 6 6 5 6 9 11 9 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 6 7 7 7 7 6 5 4 4 5 5 5 4 4 5 6 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 3 4 4 4 4 4 3 4 5 5 5 5 5 5 6 6 5 3 3 3 4 4 4 4 5 4 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 4 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 6 5 5 5 5 4 5 6 7 7 7 7 7 7 8 8 7 7 7 5 5 6 7 7 5 5 5 4 3 4 4 4 5 6 7 7 6 6 5 5 7 8 7 9 9 7 9 7 4 7 11 9 5 7 10 8 0 -2 2 3 2 1 -1 -3 -4 -4 -4 -2 2 3 3 6 12 11 10 8 6 3 2 3 2 3 1 -1 -0 2 3 4 5 5 8 8 7 8 9 8 8 5 1 -2 -1 2 5 9 12 15 17 20 22 24 18 10 6 5 5 6 8 10 11 9 6 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 6 6 6 5 4 4 3 2 2 3 4 4 3 2 2 2 2 2 3 4 5 4 3 5 6 4 5 5 5 4 4 5 4 4 5 5 5 6 6 7 8 6 5 4 4 3 -2 -6 -4 3 5 4 4 6 6 6 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 4 4 3 3 2 2 3 3 2 2 1 1 1 2 3 4 6 5 5 6 6 5 5 5 6 11 11 8 6 5 8 12 12 13 13 12 9 7 6 5 6 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 4 4 4 5 5 6 7 7 7 7 6 6 6 5 4 4 4 5 5 4 4 4 5 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 2 2 2 3 4 4 4 4 3 3 4 4 4 4 4 5 6 6 6 4 3 3 4 4 4 5 5 5 5 5 5 4 4 3 2 2 2 2 2 2 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 2 2 2 3 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 5 4 4 4 4 4 4 4 5 4 4 3 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 8 8 7 7 7 6 5 6 6 6 6 5 4 4 4 4 4 4 4 5 6 7 7 6 6 5 6 6 6 8 8 8 11 7 3 9 12 12 8 4 4 6 3 0 4 5 4 3 1 -2 -3 -1 -1 1 3 7 10 8 7 10 10 7 4 4 4 4 5 5 4 3 3 3 3 6 10 7 1 4 12 14 10 8 8 2 -2 0 4 7 10 14 18 21 23 25 26 22 14 8 5 5 6 7 8 10 10 7 5 4 3 4 3 3 4 4 5 6 6 5 5 5 5 5 6 6 6 6 5 4 3 3 3 3 3 4 4 3 2 2 2 3 3 3 4 5 5 4 3 3 3 5 5 4 4 4 4 4 5 5 5 5 6 7 7 7 6 6 5 4 3 2 -2 -3 5 9 7 5 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 5 4 3 3 3 3 4 3 3 4 5 5 5 5 4 4 4 5 5 6 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 3 2 2 1 1 1 1 1 1 -1 -2 -1 -2 -2 -0 1 2 3 5 5 5 5 5 3 2 6 12 13 12 10 11 13 14 16 14 10 6 4 4 5 4 4 4 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 7 8 8 7 6 6 6 5 5 5 4 5 5 5 4 4 5 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 1 2 2 2 3 3 4 3 3 3 3 3 3 3 4 4 5 6 5 4 4 4 4 4 4 5 6 7 7 7 7 6 6 5 4 2 2 2 3 3 3 3 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 6 6 5 5 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 6 5 6 7 6 5 4 4 3 3 3 4 4 5 6 6 6 6 6 6 5 6 9 12 9 5 6 7 7 9 8 9 8 5 4 7 6 3 5 5 3 3 5 3 2 3 3 3 4 5 9 9 7 9 7 4 3 6 7 5 5 4 5 7 11 14 10 7 15 15 1 6 13 12 11 9 7 4 2 2 4 10 16 21 25 28 29 29 25 18 10 6 6 6 7 8 9 10 9 7 4 3 3 3 3 4 5 5 5 6 6 5 5 5 5 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 2 2 2 3 3 3 4 6 5 3 2 2 4 5 4 5 5 4 4 4 5 5 6 6 6 6 7 7 7 6 5 4 4 4 2 -2 -4 1 5 6 6 6 5 4 5 6 6 5 6 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 6 6 6 6 5 5 4 3 2 1 0 -0 0 1 0 -1 -1 1 1 2 2 2 3 4 4 4 6 6 5 5 5 3 2 5 8 12 13 12 11 10 8 6 4 4 4 4 5 5 4 3 1 -1 -1 1 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 8 8 7 6 6 6 6 6 5 5 5 5 5 4 4 4 6 8 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 2 2 2 2 2 3 3 3 3 2 2 3 2 3 3 4 4 4 5 4 4 4 3 3 4 4 6 6 7 8 8 7 7 7 5 4 4 4 4 5 5 4 4 4 4 3 2 2 2 2 3 4 3 3 3 2 3 2 1 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 7 6 7 8 9 9 8 8 8 7 6 6 6 6 5 4 3 3 3 3 3 4 5 6 6 6 5 5 5 5 6 8 12 11 8 7 8 10 8 5 5 6 6 5 8 8 6 7 4 1 2 5 5 4 4 4 3 3 2 3 7 8 6 2 3 6 12 14 7 3 2 2 6 15 23 18 6 11 18 9 6 9 9 9 8 5 4 4 2 4 13 23 29 31 31 31 28 20 12 8 6 6 7 8 8 9 10 9 6 4 4 4 4 4 5 5 6 6 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 3 3 4 4 3 2 2 2 2 2 3 4 5 5 4 3 4 5 5 4 5 5 4 4 5 5 6 7 6 6 6 6 6 6 6 6 5 5 4 4 2 -2 -1 3 5 6 6 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 6 6 6 6 5 5 4 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 2 0 0 1 2 2 3 4 4 6 7 7 7 6 5 5 6 6 6 6 6 5 2 1 1 4 8 9 8 5 3 4 4 4 4 5 5 5 5 5 3 0 -4 -4 -2 2 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 6 8 7 7 7 6 6 6 6 5 5 5 5 5 5 5 4 5 7 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 2 2 2 2 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 3 3 4 5 6 7 7 7 7 7 7 6 7 7 7 8 7 7 6 5 5 4 4 3 2 2 2 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 2 2 2 1 2 2 2 2 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 8 8 8 7 7 7 9 9 10 10 9 8 8 6 5 6 7 5 4 3 3 3 3 3 4 4 5 6 6 5 5 5 5 5 6 9 11 11 11 9 7 6 3 5 9 9 6 5 6 8 7 3 2 3 5 5 5 5 3 3 3 2 1 2 3 1 -0 2 8 18 20 13 6 3 0 0 9 21 19 7 3 8 13 6 7 8 5 5 1 2 3 4 10 20 27 30 31 30 27 20 13 9 7 6 6 7 8 8 9 9 8 5 4 4 4 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 6 4 4 3 4 4 3 3 3 4 3 3 2 2 2 2 2 3 4 5 5 6 7 8 7 5 4 5 5 5 5 5 5 6 6 7 7 7 6 5 5 6 8 8 7 5 5 5 3 1 3 5 5 5 5 4 4 5 5 5 4 4 4 3 3 3 3 4 5 5 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 6 6 5 5 5 5 6 5 5 5 4 4 4 5 5 5 6 6 5 3 0 -1 2 5 5 4 5 5 6 7 7 6 5 5 5 6 6 5 5 5 7 5 2 2 5 7 6 4 4 4 4 4 4 4 5 6 6 6 8 5 1 -2 -5 -2 4 5 4 4 4 5 5 5 6 6 7 8 8 7 6 6 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 6 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 4 4 4 3 3 3 3 4 3 2 2 3 3 3 3 3 3 3 3 2 3 4 4 4 4 3 3 3 4 4 5 4 4 5 5 6 6 7 8 8 8 8 7 6 5 5 5 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 3 3 2 2 2 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 6 5 5 5 6 6 7 8 8 9 8 7 8 8 9 11 12 11 10 9 8 6 6 6 6 5 4 3 3 2 3 3 3 5 5 6 7 5 5 5 5 4 4 7 10 12 11 6 3 4 3 5 8 8 5 3 5 6 5 4 5 6 7 7 6 5 5 4 4 3 1 0 0 0 0 1 7 15 18 14 10 6 3 2 5 14 12 8 3 2 7 3 4 5 4 4 1 1 5 9 16 19 21 25 25 22 18 13 9 7 6 6 7 7 8 8 9 9 8 6 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 5 4 3 3 4 4 4 3 4 4 3 2 2 2 2 2 3 3 4 5 6 7 10 12 10 10 8 7 7 7 6 6 6 5 5 7 8 8 7 5 5 7 8 7 6 6 5 5 4 3 5 5 4 4 4 4 5 5 5 5 5 5 4 4 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 7 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 7 5 2 4 5 4 5 6 6 6 6 6 5 5 5 5 7 8 6 5 6 8 10 8 5 6 7 6 5 4 4 4 4 4 4 4 5 6 7 10 10 7 5 3 1 3 5 5 5 5 5 5 6 6 7 9 10 10 9 7 6 6 6 6 7 7 7 6 6 6 6 6 5 5 6 6 6 5 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 5 6 5 4 5 5 5 4 3 2 2 3 4 4 4 3 3 2 2 2 3 4 5 4 3 3 3 3 3 3 3 3 4 4 3 4 5 6 6 7 7 6 5 5 5 5 5 4 4 3 3 2 2 2 2 3 3 2 3 3 3 4 4 4 4 4 4 4 5 4 5 5 4 4 5 4 3 3 3 3 2 2 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 6 6 5 5 6 6 6 8 8 9 9 9 9 9 10 11 12 12 12 10 9 9 7 6 6 6 6 4 2 2 2 2 3 4 5 6 6 7 6 5 5 5 4 3 8 12 15 12 6 2 3 4 3 2 2 1 2 3 2 1 5 8 7 8 9 9 8 7 6 6 5 3 3 2 3 2 0 3 8 10 11 10 6 9 10 6 9 9 7 2 3 6 -1 -4 1 5 6 5 5 8 12 15 15 16 18 16 13 11 9 8 7 6 6 7 7 8 8 9 8 7 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 5 4 3 4 4 5 4 4 4 4 3 2 3 3 2 2 3 3 4 6 6 7 8 11 12 13 13 11 10 9 8 8 8 7 6 6 7 8 7 7 6 6 6 5 5 6 7 5 5 8 7 5 4 3 3 4 5 6 5 5 6 6 6 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 3 3 4 5 5 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 3 3 3 3 3 4 4 4 5 5 5 7 9 7 5 5 5 5 6 6 6 7 7 6 5 5 6 9 11 11 8 6 5 7 7 6 6 7 7 5 4 4 4 3 4 4 5 5 6 7 8 11 9 7 6 5 5 6 6 5 5 5 5 5 6 8 9 11 12 11 9 7 6 6 6 7 7 7 7 7 7 7 6 6 6 5 6 6 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 5 6 6 5 6 5 6 6 5 4 3 3 3 4 5 5 5 4 3 3 3 3 4 4 3 3 3 3 3 4 4 3 3 3 2 1 2 3 3 3 4 5 5 4 5 5 5 5 4 4 4 3 3 2 2 2 3 3 3 3 3 3 4 4 4 3 3 3 4 5 5 4 5 5 5 6 5 5 5 4 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 4 5 5 6 6 6 5 5 6 6 5 5 5 6 6 7 8 10 10 10 11 11 12 12 12 12 12 12 11 9 7 6 5 6 6 5 4 3 2 2 3 5 7 7 6 6 6 6 5 5 3 2 9 17 18 13 7 3 3 6 6 2 0 1 3 3 1 0 6 10 6 4 7 10 11 9 7 6 5 5 3 1 2 3 2 3 4 5 7 6 6 10 13 8 7 12 8 1 4 12 7 -3 0 5 7 8 9 10 11 13 14 14 12 7 5 7 8 8 7 6 7 7 7 8 8 8 8 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 5 4 5 5 6 5 3 3 4 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 5 5 6 7 8 10 10 11 12 11 10 10 9 9 9 8 6 5 6 7 8 8 7 6 6 8 10 10 9 10 11 7 4 4 3 3 4 5 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 2 -1 -4 -3 2 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 1 2 1 1 1 2 2 3 4 5 7 7 6 6 6 6 6 6 6 8 8 7 8 9 8 8 10 11 8 4 3 3 3 4 6 8 8 6 5 5 4 3 3 4 5 5 5 5 6 8 8 6 5 4 4 5 6 6 6 6 7 6 6 8 9 11 13 14 11 8 5 5 5 6 6 7 8 10 10 9 8 7 6 6 6 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 4 5 5 5 6 6 6 6 5 3 3 3 4 5 5 6 6 5 4 4 4 4 3 3 2 3 3 3 4 4 4 4 3 2 1 1 2 2 3 3 4 4 4 4 5 5 5 5 4 4 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 5 5 4 3 2 2 2 2 2 2 2 3 2 3 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 6 6 6 5 5 5 6 5 5 5 6 7 8 9 11 12 12 13 12 13 12 12 12 13 13 12 10 7 5 5 6 6 6 5 3 3 3 4 5 8 7 6 6 7 7 6 4 2 2 8 17 16 9 5 3 5 8 9 4 3 6 8 4 2 2 6 10 7 2 4 7 10 10 8 6 4 3 0 -1 1 2 4 6 7 8 9 7 8 8 9 9 8 10 6 3 5 14 14 4 4 7 8 9 11 11 10 12 14 13 6 1 3 7 8 8 8 7 7 7 7 8 8 7 8 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 3 4 5 4 5 4 4 3 3 3 3 3 2 3 3 3 4 4 4 5 5 6 6 7 7 7 8 8 8 8 7 6 6 6 7 7 7 7 8 8 8 9 13 17 15 15 14 10 5 4 3 3 3 4 5 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 0 -3 -6 -7 -3 4 6 5 4 4 3 3 3 3 4 3 3 4 3 3 3 3 2 2 2 2 0 0 -1 -2 -2 -2 -2 -1 0 1 4 7 7 7 6 5 4 6 6 6 7 8 10 10 8 6 6 6 5 4 3 2 2 4 7 9 8 6 6 6 5 4 3 4 4 4 4 4 5 6 6 7 7 5 4 5 6 6 7 8 9 8 6 6 8 11 14 17 13 8 5 5 5 6 6 8 10 13 15 15 13 9 7 7 7 7 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 4 4 4 4 4 5 6 6 5 4 3 3 4 4 5 6 6 6 5 5 5 5 4 3 3 4 3 3 3 4 4 4 4 3 2 2 2 2 3 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 3 2 2 3 2 3 3 3 3 3 4 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 4 5 5 5 5 5 6 7 8 9 11 13 15 14 13 13 13 13 13 13 13 12 10 7 5 5 6 6 6 5 4 4 4 4 6 9 7 5 7 9 8 6 4 3 3 5 11 9 5 2 3 8 9 5 6 7 10 10 4 2 4 6 9 8 4 3 5 8 10 8 6 4 2 -1 1 2 2 4 8 12 14 14 12 10 6 4 6 6 6 5 6 6 10 12 7 7 9 10 10 11 10 9 12 14 10 1 -1 5 8 8 8 8 7 6 7 7 7 7 7 7 7 7 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 4 4 4 4 4 4 3 3 3 2 3 3 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 3 5 7 9 9 7 6 7 8 11 14 16 15 15 13 7 4 4 3 3 3 3 4 4 5 5 5 5 4 3 2 3 3 2 1 4 6 6 6 6 6 6 5 4 3 2 3 1 -1 3 7 7 6 4 3 3 2 2 2 1 0 0 -0 -0 -0 -1 -1 -1 1 1 -2 -3 -4 -3 -2 -1 -1 -1 0 3 5 6 6 8 8 6 7 9 11 9 8 9 8 7 8 7 6 5 5 5 4 3 3 4 7 9 7 6 6 7 6 5 5 5 4 4 3 3 3 4 5 6 8 9 6 4 4 5 6 9 10 10 7 4 6 10 14 16 14 10 6 5 6 6 7 8 12 16 21 22 20 14 9 7 7 7 7 6 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 3 3 3 4 3 3 4 4 4 5 5 4 4 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 5 5 5 4 4 4 3 3 3 4 4 5 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 6 6 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 6 7 8 9 11 14 16 15 14 14 14 14 14 13 12 11 9 7 5 5 6 7 7 6 5 4 4 4 5 7 5 6 8 9 9 7 5 4 4 3 6 8 7 4 5 10 8 2 4 6 13 14 4 2 4 6 8 10 7 4 5 7 8 7 6 5 3 1 2 4 4 4 8 14 17 13 12 9 2 0 4 5 5 7 7 5 5 8 7 8 10 10 10 11 9 8 11 13 6 -2 2 8 9 9 9 8 7 6 6 7 6 7 7 7 7 7 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 3 4 4 4 4 3 3 3 3 2 3 3 2 2 2 2 3 2 3 3 3 3 2 3 3 3 3 3 3 3 5 7 7 6 5 5 7 9 10 10 10 10 8 6 5 4 3 3 3 4 3 3 4 3 3 2 1 -1 -4 -4 -2 -4 -7 -5 1 5 6 6 7 7 7 7 8 9 8 8 9 7 7 8 7 6 5 4 4 3 2 0 -1 -2 -3 -2 -2 -4 -7 -8 -7 -7 -6 -5 -3 0 2 4 5 3 4 6 6 5 5 8 10 11 12 14 16 15 12 10 7 7 8 8 7 6 6 6 5 4 3 5 7 8 7 6 6 6 6 5 5 5 5 4 3 3 3 3 4 6 7 7 6 4 4 4 6 7 9 11 11 6 4 9 12 13 13 10 7 6 6 7 7 8 12 18 23 26 24 16 8 5 7 8 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 4 3 3 3 3 3 3 3 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 4 4 3 3 4 5 5 5 5 5 4 4 4 4 5 5 5 6 7 6 6 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 6 6 6 6 5 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 6 7 8 9 11 14 17 16 15 14 14 14 13 12 10 9 8 6 5 6 7 7 8 7 6 5 4 4 5 5 6 8 9 10 9 7 5 5 4 4 5 9 11 9 6 8 8 6 6 5 13 16 7 5 6 6 6 8 8 6 4 4 6 7 7 6 4 3 4 6 6 5 7 12 13 8 8 9 5 2 4 6 8 8 5 3 4 7 9 9 10 9 9 9 8 7 10 10 1 -2 5 9 9 9 9 8 7 6 6 6 6 7 7 7 7 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 3 3 4 4 4 5 6 7 7 7 7 7 7 7 6 6 5 4 4 5 4 4 4 4 3 3 2 1 -1 -1 -2 -3 -4 -5 -7 -5 1 6 7 7 8 9 9 11 13 12 9 9 7 5 6 7 6 6 5 4 4 4 3 1 0 -1 -1 -1 -3 -8 -12 -13 -9 -2 1 1 3 4 4 5 5 4 4 5 5 5 6 9 11 5 3 10 12 8 6 6 6 7 8 8 8 7 7 6 4 4 4 6 7 6 5 5 5 5 5 4 5 5 5 4 3 3 3 3 4 6 7 5 4 4 4 5 6 6 8 12 12 7 7 9 10 10 8 6 6 7 7 6 7 10 15 20 22 18 10 3 2 8 13 12 10 8 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 5 4 3 3 2 2 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 3 4 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 6 6 5 5 5 6 6 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 6 5 5 5 5 5 4 5 5 6 7 7 9 12 16 17 16 14 13 12 12 11 10 8 8 7 5 5 6 7 7 8 7 7 6 5 5 5 6 8 9 10 11 9 8 6 5 4 4 6 9 10 12 7 5 8 12 10 7 13 16 11 9 9 8 6 4 5 5 4 5 7 8 8 6 4 5 6 7 7 7 7 7 8 6 6 10 10 6 4 7 8 6 3 2 3 9 10 9 9 9 9 7 6 7 10 7 -1 0 8 10 8 8 8 8 7 6 6 5 6 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 2 2 2 2 3 3 3 3 3 2 2 2 3 4 4 4 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 8 7 5 4 4 1 -2 -3 1 4 5 6 7 8 9 10 12 9 4 4 4 4 4 4 4 3 2 1 0 2 2 -0 -0 2 2 2 2 1 0 4 6 7 6 5 4 4 4 5 4 4 4 4 6 8 9 7 5 3 3 4 3 3 4 5 6 7 8 8 8 7 6 5 4 4 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 6 5 4 4 5 5 5 5 6 9 11 9 8 8 8 7 6 6 6 7 7 6 5 6 9 12 13 7 2 -0 2 9 19 25 22 11 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 5 5 5 4 4 3 3 2 3 3 3 4 4 4 3 3 3 3 3 5 5 5 5 5 4 5 5 4 4 3 3 4 5 5 6 6 6 5 5 6 6 6 6 5 5 5 5 6 7 7 7 7 7 6 5 6 6 7 7 7 6 6 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 5 5 5 5 4 4 4 4 5 5 4 4 4 4 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 6 5 5 5 5 4 4 5 5 6 7 7 9 12 16 18 16 14 11 10 9 8 7 6 5 5 5 5 6 7 7 7 8 7 7 6 5 5 6 8 9 11 10 10 8 6 4 5 6 9 10 10 12 7 5 8 9 7 7 10 11 10 10 9 8 7 3 1 4 6 9 10 8 8 6 4 5 8 8 10 9 7 7 8 9 7 7 7 5 3 6 8 7 3 1 3 8 10 7 8 11 10 8 6 7 8 3 -3 2 10 10 7 7 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 2 2 3 3 3 4 4 3 3 3 2 2 3 4 5 5 5 6 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 9 10 10 8 7 6 4 -1 -6 -7 -4 -3 -0 1 5 7 6 7 5 3 2 2 3 3 2 0 -1 -4 -5 -5 -5 -3 -0 2 3 4 7 11 13 12 11 9 8 7 5 5 4 5 7 8 6 6 8 8 9 9 8 11 9 3 3 3 3 3 5 5 7 8 8 8 8 7 6 5 4 4 5 6 6 4 4 3 3 4 4 4 4 3 4 4 5 4 3 2 3 4 5 5 5 6 6 5 5 6 7 9 9 9 7 6 6 6 6 6 6 6 5 5 5 6 5 2 0 2 5 9 20 33 30 13 5 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 5 5 6 6 5 5 4 3 2 3 3 3 2 3 3 2 2 2 3 4 5 5 5 4 4 5 5 4 4 4 3 4 4 5 5 5 6 5 5 6 6 7 7 6 5 5 5 6 7 7 8 8 8 7 6 6 6 6 7 6 6 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 6 5 5 5 4 4 4 5 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 6 7 8 10 13 16 18 16 13 9 8 6 6 5 4 3 4 5 6 6 6 7 7 7 8 7 6 6 6 6 8 10 11 11 10 8 6 4 5 8 11 12 11 10 6 4 6 7 6 4 5 4 5 6 5 6 9 5 2 3 5 9 10 8 7 7 6 6 8 10 14 13 10 9 11 10 6 3 4 3 3 5 10 11 7 2 3 7 9 7 9 10 10 8 5 6 5 -0 -3 4 11 9 6 6 7 7 6 6 6 6 7 7 7 6 6 6 6 5 5 5 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 2 2 2 3 3 4 4 3 3 3 3 3 3 4 6 6 6 6 7 8 7 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 5 5 2 -3 -5 -6 -5 -4 -3 -3 -1 3 4 5 3 3 2 1 2 1 -1 -1 -3 -4 -3 -2 -2 1 4 6 5 6 8 10 13 12 8 5 6 6 5 5 7 9 9 9 10 11 12 10 7 5 7 6 3 3 3 3 3 3 3 5 6 7 8 8 8 7 6 5 4 3 4 6 6 5 4 4 3 3 3 3 4 3 3 4 5 5 6 3 -1 2 4 5 7 8 7 6 5 5 6 8 9 9 7 7 7 6 5 6 6 6 6 5 4 5 5 5 4 4 7 11 16 21 19 11 6 9 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 4 5 6 7 7 6 6 5 4 3 3 2 2 2 2 1 1 1 1 2 3 3 4 3 4 4 4 5 5 4 4 3 4 4 5 4 5 5 5 5 6 6 7 7 6 5 5 5 6 7 8 8 8 8 6 6 5 5 5 5 5 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 5 5 6 6 6 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 4 4 5 5 5 5 5 4 5 7 7 9 11 14 18 17 14 10 8 6 5 5 4 3 3 3 5 6 6 6 6 7 7 7 7 6 6 6 6 8 9 10 10 9 7 6 5 5 7 10 11 9 6 4 3 6 11 12 8 1 -1 4 6 3 5 9 8 5 2 2 4 7 7 7 9 9 8 6 8 13 13 9 9 11 9 5 3 3 2 2 5 11 15 9 3 4 6 9 9 10 10 8 6 4 3 4 -1 -1 7 11 9 5 5 6 7 6 6 6 6 7 7 7 6 6 6 6 6 5 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 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 4 4 3 3 2 3 3 3 4 5 7 7 7 6 7 6 6 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 7 6 3 1 1 -0 1 1 0 -3 -3 -0 2 4 3 3 2 3 2 1 2 3 3 3 4 5 6 6 6 5 4 5 6 7 9 8 6 6 6 6 7 9 11 13 13 12 9 9 9 7 5 5 3 2 3 3 3 3 2 2 4 4 6 7 8 8 8 6 5 4 3 4 6 6 6 4 4 4 3 3 2 2 3 3 4 4 5 7 8 2 0 4 6 8 9 8 6 5 6 6 7 9 9 9 9 9 7 6 6 6 6 6 6 6 6 6 7 7 7 8 10 13 10 5 5 7 8 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 4 4 4 4 5 6 7 7 7 7 7 6 6 6 5 4 3 4 3 1 1 1 1 2 2 2 2 2 3 4 4 4 4 4 3 4 3 3 3 4 5 5 5 5 5 6 6 6 6 5 5 5 6 6 6 6 6 6 5 4 4 3 4 4 4 5 5 5 5 6 6 5 5 5 6 6 6 6 7 6 6 6 6 5 6 6 6 6 6 6 5 5 4 4 4 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 4 5 6 5 5 5 5 5 5 4 4 4 5 6 8 10 13 17 19 15 10 6 6 6 5 5 5 4 3 3 5 5 6 6 7 7 7 7 6 6 6 6 7 8 8 9 9 7 6 6 7 7 6 7 8 6 3 3 4 7 12 13 10 3 -2 4 7 5 5 7 8 6 3 -1 0 6 9 9 10 10 9 6 7 10 10 7 8 10 8 5 4 3 1 1 4 11 14 8 3 4 7 10 11 11 9 7 4 3 3 4 -2 -2 7 11 9 5 4 5 6 6 6 7 7 7 7 7 7 6 6 6 6 5 4 4 4 4 5 5 5 5 4 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 4 5 5 5 5 4 3 3 3 3 3 2 3 3 3 4 3 3 2 2 3 3 4 5 5 7 7 7 6 6 6 5 5 5 5 5 6 6 5 5 6 6 6 6 7 8 7 7 8 7 7 6 6 6 6 7 8 10 12 12 8 4 1 1 2 2 -1 -3 -3 -2 2 4 4 3 3 5 5 6 7 6 6 6 6 5 4 5 4 2 3 4 5 7 9 9 6 8 9 9 8 9 11 11 8 5 4 6 7 5 5 5 5 4 4 3 3 2 2 3 4 5 7 8 8 8 7 5 3 3 4 6 7 6 5 4 4 4 4 3 2 1 3 3 4 4 6 9 8 3 4 6 8 8 7 6 5 5 6 6 8 10 12 12 10 8 6 6 6 6 7 7 7 7 8 8 8 7 7 9 11 7 2 2 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 4 4 4 4 5 6 7 6 6 7 7 8 8 8 7 7 6 5 4 4 3 2 2 2 1 1 1 2 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 3 4 4 4 4 4 5 5 4 5 5 5 5 5 6 7 6 7 7 7 6 6 7 7 6 6 6 6 6 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 7 8 10 16 21 19 11 6 5 6 6 6 6 5 5 4 5 5 5 6 6 7 7 7 7 6 6 6 6 7 7 7 8 6 5 6 7 9 10 6 5 7 6 4 4 6 8 8 6 7 7 1 3 6 7 5 4 5 6 3 0 1 7 10 11 11 10 9 8 8 10 8 6 7 9 7 4 3 2 1 1 4 9 10 6 4 5 8 10 13 11 8 6 4 3 3 1 -3 -1 6 10 9 5 4 5 6 6 6 7 7 7 7 7 7 7 6 6 5 4 4 4 4 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 6 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 4 4 4 5 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 7 8 8 8 8 8 7 7 7 7 8 8 9 10 12 16 13 8 6 3 1 -1 -2 -1 -1 -0 1 -0 -1 -1 -0 2 2 3 4 6 6 7 7 6 4 4 5 4 3 5 5 6 6 6 6 7 7 6 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 5 3 2 2 2 3 4 5 7 8 8 7 6 4 3 5 6 6 6 6 5 5 5 5 6 5 0 1 4 4 4 4 6 6 5 5 5 6 6 6 5 5 5 5 6 7 10 12 13 11 9 6 5 5 6 7 8 8 8 8 9 9 9 8 8 9 6 3 4 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 5 5 4 5 5 6 6 5 5 4 6 7 8 8 8 8 8 8 8 7 6 5 4 3 2 2 2 2 2 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 5 5 4 4 4 3 2 2 2 3 3 2 1 1 2 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 6 6 6 7 7 7 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 4 3 4 4 4 5 5 5 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 6 7 9 15 22 24 15 6 2 3 6 7 6 6 6 6 6 5 6 6 6 6 7 8 9 8 7 6 6 7 7 7 7 7 5 5 7 10 11 10 8 6 6 7 9 9 7 7 5 3 6 7 5 4 5 6 6 4 3 3 2 1 3 8 12 11 10 8 9 10 10 10 8 6 8 9 8 6 5 5 3 3 4 7 7 4 5 7 8 11 13 10 7 5 4 4 4 1 -1 1 6 10 8 5 4 5 6 7 7 7 7 7 7 7 7 7 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 5 6 6 5 5 5 4 4 4 4 4 4 4 5 4 5 5 4 5 5 7 7 8 8 8 7 7 7 7 7 8 8 9 9 9 12 15 17 15 12 7 3 1 0 1 1 0 -1 -2 -3 -3 -1 -0 -0 3 6 6 6 6 6 5 4 6 6 5 6 6 7 7 8 7 5 4 3 4 4 3 3 3 3 3 4 5 7 6 4 3 6 7 8 5 3 2 2 3 3 4 6 7 8 8 6 5 4 5 5 6 6 6 6 5 5 5 6 8 5 1 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 6 8 11 13 12 9 7 5 5 6 7 8 8 8 8 8 9 10 10 9 8 7 6 5 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 5 5 5 6 6 7 6 4 3 3 4 5 6 6 7 7 7 8 10 9 8 7 6 6 5 4 4 3 2 3 4 3 4 4 4 3 3 4 4 5 5 5 4 3 3 3 4 4 4 5 5 4 4 3 2 1 1 2 2 1 1 2 3 3 4 4 4 4 3 3 3 4 4 4 5 5 6 6 6 7 7 7 7 7 6 6 6 7 7 7 7 6 4 4 4 4 3 3 3 2 3 3 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 4 4 4 4 5 6 6 5 5 5 5 5 4 5 6 7 8 11 24 34 24 7 -1 -2 1 4 6 5 5 5 6 5 5 6 7 7 7 7 7 9 10 8 7 7 7 7 7 7 6 6 6 8 9 8 8 8 6 4 6 12 12 6 5 3 2 5 7 7 5 4 5 6 5 4 3 2 1 4 9 12 10 7 7 9 11 11 9 6 4 6 6 5 6 8 8 6 4 5 6 4 2 5 9 11 13 11 9 7 5 5 5 4 4 3 4 5 8 8 5 4 5 6 6 7 7 7 7 7 7 7 6 6 6 4 4 4 4 4 5 6 5 6 6 5 5 5 4 5 5 5 5 4 4 4 4 4 4 5 4 5 5 6 6 6 5 4 3 3 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 6 7 7 7 6 6 6 6 6 7 7 8 8 9 9 13 16 16 17 15 13 9 7 5 3 3 3 2 1 1 2 3 4 5 6 5 5 5 5 4 5 4 6 10 10 11 12 12 10 7 5 4 4 5 5 4 3 3 2 2 4 7 9 8 5 3 4 7 9 7 4 3 2 3 3 4 5 6 7 8 7 6 6 5 5 5 5 6 7 7 5 5 5 7 7 4 4 4 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 5 6 8 10 11 9 7 7 6 5 5 6 7 8 7 7 8 10 12 12 11 9 7 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 5 5 5 6 7 7 6 5 3 2 2 3 3 3 4 5 5 6 7 8 7 7 7 7 7 6 5 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 4 3 3 4 4 4 5 5 4 4 3 2 1 1 2 1 1 2 3 3 3 4 4 3 3 3 3 3 4 4 5 5 6 6 6 7 7 6 6 6 6 6 6 7 7 8 8 6 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 5 4 5 6 8 10 16 34 36 15 0 -5 -6 -3 2 4 4 4 5 5 5 5 5 6 6 7 8 8 10 11 9 7 7 7 6 7 7 8 7 5 6 8 7 5 6 5 5 7 9 8 4 2 -0 2 5 6 7 6 5 5 6 5 4 4 4 3 5 10 12 9 5 7 10 11 11 8 4 1 2 2 1 3 7 7 6 4 5 5 3 1 4 10 14 15 11 8 6 5 5 6 5 5 7 6 4 6 8 6 4 5 5 6 7 7 7 7 7 6 6 6 6 5 5 4 4 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 2 2 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 5 5 4 4 5 4 4 4 5 6 6 5 5 4 4 5 5 6 6 6 7 8 9 9 10 11 13 14 13 12 12 10 9 9 7 4 5 5 5 7 7 9 10 8 9 9 7 8 6 7 11 14 14 12 9 7 5 5 5 5 5 5 4 4 3 2 2 3 7 12 10 6 3 3 5 8 8 6 4 2 2 3 4 4 5 6 7 8 7 7 6 5 4 4 5 7 7 7 5 5 5 5 5 5 4 4 5 5 5 4 4 5 5 4 4 4 4 4 4 4 5 5 6 7 8 8 8 8 7 6 5 6 7 7 7 7 7 9 12 13 12 7 7 10 11 10 8 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 3 4 5 5 6 6 5 6 6 5 4 4 2 2 3 2 2 2 3 3 4 4 5 5 5 5 6 6 6 6 5 4 4 4 4 3 3 4 4 4 4 4 5 5 6 6 6 5 4 3 3 3 4 4 4 5 6 6 4 2 2 2 2 2 2 2 3 3 3 4 4 3 3 3 3 3 4 5 5 6 6 6 6 6 7 7 6 6 6 6 7 7 8 8 8 6 6 5 5 4 4 3 3 3 3 4 3 4 4 4 3 4 4 3 4 4 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 5 5 6 7 9 13 21 32 24 5 -2 -4 -9 -6 -0 3 3 4 5 5 5 5 4 4 5 6 7 9 10 10 10 9 8 7 7 8 8 8 7 5 5 9 9 5 5 3 5 9 7 4 3 2 2 4 6 5 6 7 6 6 7 5 2 3 5 5 8 10 10 8 7 10 11 9 8 6 2 -0 1 2 2 4 5 5 5 4 4 3 1 1 2 8 18 18 12 7 1 1 4 7 9 7 8 7 5 6 7 6 5 5 5 5 6 7 7 6 6 5 5 5 5 5 5 4 4 4 5 6 6 7 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 4 4 4 4 3 3 3 2 3 2 2 3 3 2 2 3 3 3 3 3 3 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 4 5 5 5 6 5 6 8 9 10 12 12 11 13 15 14 11 11 10 10 12 12 15 15 15 15 14 12 10 7 7 10 9 6 5 5 5 5 6 6 5 5 5 4 3 2 2 3 7 11 10 6 4 3 4 7 8 7 4 2 2 3 4 4 4 5 6 7 8 8 7 6 5 4 5 7 8 8 7 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 4 5 5 6 6 7 8 7 6 6 6 6 7 7 7 7 8 10 12 10 6 7 9 11 12 10 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 5 5 6 6 5 4 5 5 4 4 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 5 5 5 5 6 5 4 4 4 3 4 4 4 4 4 4 5 5 5 6 6 5 4 3 3 3 3 4 5 6 7 7 4 3 2 3 3 2 2 2 3 3 4 4 4 3 3 3 3 3 4 5 5 5 5 6 6 6 7 7 6 6 6 7 7 8 8 8 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 6 6 8 11 16 23 25 13 2 -1 -4 -11 -9 -2 3 4 4 5 5 5 4 4 3 3 5 7 9 10 11 11 9 8 7 8 8 8 7 6 5 5 8 10 10 7 3 4 11 10 6 6 8 8 6 4 5 5 6 6 8 8 7 4 2 4 7 9 10 9 9 10 12 11 7 5 4 1 2 5 6 6 4 4 3 4 4 4 2 -0 1 1 7 19 19 12 5 -3 -3 2 9 15 10 5 7 7 7 7 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 4 5 6 6 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 4 5 5 7 8 9 9 11 14 17 16 15 14 13 12 10 12 12 11 12 12 10 8 6 4 5 4 4 4 4 5 5 5 5 5 5 5 4 4 3 2 2 5 7 8 6 5 3 4 5 6 6 4 3 3 3 3 3 3 4 5 6 7 7 7 7 5 4 5 6 8 8 7 7 6 6 5 5 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 7 10 11 8 7 8 8 8 8 8 9 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 3 3 4 5 5 5 5 4 4 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 5 6 5 5 4 4 4 4 4 4 4 4 5 4 5 5 6 6 6 5 4 3 3 3 3 3 5 8 8 6 4 3 3 3 2 2 2 3 3 4 3 4 4 3 3 2 3 3 4 5 5 5 5 5 6 6 6 6 6 7 7 7 8 8 8 7 6 6 6 7 6 5 5 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 5 5 5 5 5 5 6 6 6 6 7 6 7 7 9 14 21 25 20 7 -1 -2 -7 -11 -8 -1 3 4 5 5 6 5 5 4 3 3 4 6 9 11 12 12 10 9 7 7 7 6 6 6 6 6 7 10 9 7 4 5 8 9 9 10 10 7 4 2 4 5 5 5 7 8 9 8 5 4 7 9 9 9 9 9 9 8 6 2 -0 1 6 8 9 8 2 2 3 3 4 6 4 3 5 7 10 16 16 10 5 -2 -5 -0 10 17 12 7 7 7 7 7 6 5 5 5 5 6 6 6 6 6 5 4 5 5 5 5 5 5 5 6 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 3 3 3 4 5 5 5 4 4 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 3 4 5 6 6 6 7 7 8 7 6 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 3 3 2 2 3 3 2 3 3 4 4 4 4 5 6 6 6 7 7 7 7 9 10 11 11 9 7 6 6 6 5 5 5 5 5 5 4 4 3 3 4 4 5 5 5 5 4 5 5 4 4 4 3 2 3 5 6 6 4 3 3 4 5 6 6 5 3 4 3 3 3 3 3 4 5 6 7 6 6 5 5 6 7 7 7 7 7 7 6 5 5 4 4 6 6 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 7 7 7 6 6 5 5 6 8 9 8 9 9 8 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 3 4 5 4 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 3 4 4 4 4 5 5 6 6 7 7 6 5 4 3 2 2 4 7 9 8 5 3 3 2 2 2 2 2 3 3 4 4 3 3 3 3 2 3 3 4 4 4 4 5 6 6 6 6 7 6 6 7 8 8 8 7 7 7 7 7 7 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 4 5 6 6 6 6 6 8 8 9 13 21 27 25 15 5 0 -5 -11 -9 -4 1 3 4 5 6 6 6 5 4 3 4 4 6 9 13 14 14 12 9 6 5 6 6 5 5 5 6 7 9 6 5 6 6 5 4 7 10 10 4 2 3 5 5 4 4 4 6 8 9 8 7 8 8 7 7 7 6 4 3 4 -1 -4 1 8 6 9 13 3 3 5 3 4 7 8 11 18 20 14 14 17 13 4 -3 -6 2 13 16 10 8 9 8 7 7 6 4 5 5 5 5 6 6 6 6 5 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 3 3 3 4 4 5 4 5 4 3 4 4 4 4 4 4 4 3 3 3 4 5 5 5 4 4 4 5 6 6 6 7 8 8 7 6 5 5 5 5 5 5 6 5 6 6 5 5 5 4 5 4 4 4 3 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 5 5 4 4 5 6 5 6 5 5 6 6 5 5 5 5 5 4 3 3 3 3 4 5 5 5 4 5 5 4 5 5 5 4 2 2 3 5 6 5 3 2 2 4 6 7 6 4 4 4 3 3 3 3 3 3 5 5 6 6 5 5 6 6 6 6 7 8 8 7 6 5 4 4 6 7 7 6 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 7 7 7 8 7 7 6 5 5 7 8 9 9 11 10 10 10 10 9 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 7 6 5 3 3 3 4 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 4 4 3 2 2 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 5 6 7 7 8 7 6 4 3 3 4 7 9 7 5 3 2 2 2 2 2 3 3 3 3 3 4 4 3 3 2 2 3 3 4 4 4 5 5 6 6 6 6 6 6 7 7 7 8 8 7 7 7 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 5 5 7 9 10 14 20 27 27 19 10 7 2 -10 -14 -7 -0 3 4 5 6 6 6 6 5 4 4 4 5 7 10 15 18 17 13 7 4 5 6 5 4 3 1 3 7 7 2 1 5 6 5 2 3 7 9 6 4 5 7 6 4 3 2 4 6 7 8 9 9 8 5 4 4 2 -0 -1 -1 -3 -3 5 9 4 9 17 7 4 5 3 5 4 6 17 31 29 16 17 24 17 4 -4 -4 6 15 13 7 9 11 8 7 7 6 5 5 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 3 3 4 4 5 5 5 5 4 4 4 5 5 5 6 7 7 7 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 3 3 3 4 3 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 4 3 3 3 3 3 4 4 4 4 5 5 5 5 6 6 4 3 3 3 3 5 5 3 2 1 3 7 9 7 5 4 4 3 3 4 4 4 3 4 5 5 5 5 5 5 5 5 6 7 8 9 8 7 6 4 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 7 8 8 7 6 5 5 5 7 8 9 10 10 10 10 10 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 10 8 6 5 4 4 4 3 3 3 2 2 2 2 2 2 2 3 3 2 2 2 2 1 2 3 5 5 4 2 2 2 2 2 3 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 7 8 7 5 5 5 6 7 7 6 4 3 2 2 2 2 3 4 3 4 4 4 4 4 3 3 2 2 2 3 3 3 4 4 5 5 5 5 5 5 6 6 6 7 7 7 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 5 5 4 5 6 7 7 5 4 5 7 10 16 23 28 25 19 12 8 9 -3 -16 -13 -3 1 3 5 5 6 6 6 6 5 4 5 5 6 8 11 17 20 18 11 6 4 5 5 3 3 5 4 2 5 7 3 -1 2 5 4 2 1 2 5 8 8 7 7 5 3 3 3 4 5 5 6 8 10 8 4 2 0 -3 -3 -2 -2 -1 3 10 9 4 10 14 10 4 1 2 4 1 2 14 25 23 20 29 32 19 4 -4 -2 9 14 9 6 9 12 9 6 7 6 5 5 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 4 5 5 4 4 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 4 4 5 5 4 5 5 4 4 4 5 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 3 3 3 4 4 4 4 5 5 5 5 6 6 5 5 4 3 2 2 1 2 2 1 3 7 10 8 6 4 3 3 3 3 4 5 5 4 4 4 4 4 4 4 5 5 5 6 7 8 8 7 6 5 5 5 6 6 6 6 6 6 7 7 7 6 5 5 5 5 5 5 6 6 6 6 6 7 6 7 8 9 9 8 6 5 4 5 6 7 7 7 7 8 8 8 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 12 12 10 9 8 7 6 6 6 6 5 3 3 2 2 2 2 3 3 2 2 3 2 2 2 4 6 7 6 4 3 2 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 4 5 6 6 6 5 6 6 7 6 5 3 2 3 3 3 3 4 4 5 5 4 5 4 4 3 3 2 2 2 3 3 3 3 4 4 5 5 5 5 5 5 6 6 6 6 7 6 5 4 4 5 5 5 5 6 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 7 6 5 4 5 9 15 25 33 30 17 9 9 8 5 -10 -16 -7 -0 3 4 5 6 6 6 6 7 6 5 5 6 7 9 13 19 21 15 7 3 4 6 5 2 1 4 6 6 9 14 11 4 1 3 4 4 3 1 1 5 9 9 6 4 3 4 5 7 7 5 2 5 11 12 6 -0 -4 -6 -4 0 3 3 7 14 13 6 8 7 7 3 -0 2 2 -4 -3 3 11 19 32 42 34 17 3 -2 2 11 13 8 6 9 12 9 7 7 6 5 5 4 4 4 5 5 6 6 6 6 6 5 5 4 5 5 5 4 4 5 5 5 6 6 5 5 6 5 5 5 4 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 4 4 4 4 5 5 4 4 3 3 4 4 3 3 3 4 5 6 5 5 5 5 5 6 5 5 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 4 5 5 5 6 6 6 6 6 5 5 5 5 4 4 5 5 4 5 5 5 5 5 5 5 6 6 5 5 4 3 1 -1 0 2 1 2 5 8 8 6 4 4 4 4 4 3 4 5 5 4 4 4 4 4 3 3 4 5 5 7 7 7 7 6 5 5 5 5 6 6 6 6 6 7 7 7 6 6 6 5 5 5 6 6 6 7 7 6 7 7 7 8 9 9 9 8 6 4 4 5 5 5 6 6 6 7 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 13 14 13 12 12 12 11 12 13 12 9 7 5 4 4 4 4 5 5 5 5 4 4 4 6 8 9 8 6 5 5 5 4 4 3 3 3 3 2 1 1 1 2 2 2 2 2 2 3 3 4 4 4 5 5 6 6 5 4 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 3 2 2 2 3 3 3 3 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 4 5 6 6 7 7 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 7 6 4 5 8 13 20 29 33 24 9 2 7 4 -10 -16 -10 -1 3 4 6 6 6 6 6 6 7 7 6 7 8 9 11 16 20 17 7 1 2 5 5 4 4 2 2 4 4 8 11 10 5 2 3 4 6 8 7 5 5 7 8 8 7 6 6 7 8 10 7 -1 -1 10 18 12 0 -6 -5 -0 4 4 2 5 14 16 9 5 0 2 4 3 3 2 -6 -8 -4 6 21 40 46 30 12 2 -1 5 12 11 6 6 9 11 10 7 6 6 5 5 5 4 5 5 5 6 6 6 7 6 5 5 4 5 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 4 3 4 4 4 4 3 4 5 5 5 6 5 4 4 4 4 4 5 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 6 7 7 6 5 4 3 2 2 2 2 2 4 6 6 6 5 5 5 5 5 4 3 3 2 3 4 4 4 4 4 2 2 4 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 9 10 8 6 5 4 4 4 4 5 5 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 10 12 13 12 12 12 13 15 18 19 17 12 10 8 8 8 8 9 9 8 7 6 6 6 7 7 8 8 8 8 8 6 5 5 4 4 3 3 2 1 0 0 1 2 2 2 2 2 3 3 3 3 3 4 4 6 6 4 3 2 2 3 3 3 4 4 4 5 6 6 6 6 5 4 4 3 2 2 3 3 3 3 3 4 4 5 5 5 5 5 4 4 5 5 6 6 6 5 5 6 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 4 3 3 4 4 5 5 6 7 7 6 5 7 12 16 21 23 22 15 4 1 2 -8 -22 -14 -1 3 5 7 7 7 6 6 6 7 7 7 8 9 10 12 14 18 18 11 2 -2 1 4 4 5 7 6 7 7 4 2 2 3 2 3 4 4 8 13 15 13 10 8 8 8 7 7 7 6 7 11 10 -2 -5 7 19 16 5 -2 -0 4 5 2 2 6 12 15 11 5 1 4 8 5 0 2 -1 -5 0 9 23 37 37 23 10 3 2 6 10 8 6 6 9 11 10 7 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 4 5 6 6 6 5 5 5 6 5 5 4 4 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 4 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 5 5 5 4 4 4 3 4 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 6 6 7 7 6 6 6 5 5 5 6 6 6 6 6 6 5 5 5 6 6 7 7 6 4 3 4 4 3 2 2 4 5 7 6 5 6 6 6 5 4 3 -0 1 4 4 4 5 6 5 3 4 4 5 5 6 5 5 5 5 5 5 5 5 6 6 6 5 6 5 5 5 5 4 4 5 5 5 6 6 5 6 6 6 6 6 7 8 9 10 9 8 7 4 3 2 3 4 4 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 5 6 7 6 5 5 8 11 14 17 17 14 12 10 11 12 12 12 11 9 7 6 6 6 6 6 7 8 9 9 9 8 6 6 6 5 4 3 2 1 0 1 2 3 4 4 3 3 3 3 3 3 3 3 3 4 5 4 2 2 2 2 2 3 4 4 4 5 5 6 7 7 6 5 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 4 4 4 3 3 3 4 6 6 7 9 7 7 9 11 14 15 15 14 11 7 4 3 -2 -11 -14 -6 3 6 8 9 8 7 7 6 6 6 7 8 9 11 14 15 17 17 14 8 3 -1 1 4 2 4 8 5 8 9 5 1 0 1 1 3 5 5 8 13 17 17 14 10 7 4 3 5 5 2 2 8 12 2 -4 4 14 16 9 4 4 5 3 2 6 12 13 12 12 9 7 11 12 4 -3 1 4 3 9 15 26 31 25 16 8 3 3 6 8 7 5 6 8 11 10 7 6 7 6 5 6 6 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 6 6 6 6 5 5 6 5 5 5 5 4 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 5 5 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 6 6 7 7 7 6 6 6 5 4 5 5 6 6 6 5 5 4 5 4 5 5 5 8 7 4 4 5 4 3 2 3 6 8 8 6 6 6 7 6 5 5 3 1 3 4 4 4 6 7 6 5 4 4 5 5 5 5 5 5 5 5 6 6 6 7 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 8 9 10 10 8 7 5 3 3 3 4 3 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 2 3 3 2 1 1 2 4 7 8 10 10 8 9 10 12 13 12 10 8 5 5 6 6 6 6 8 9 10 10 10 8 6 6 7 7 6 5 3 2 1 2 4 5 6 7 7 6 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 5 6 6 7 7 6 5 4 3 3 3 3 3 3 3 4 4 4 5 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 6 6 5 5 4 4 4 4 4 4 4 3 3 4 6 7 10 11 8 9 11 11 12 11 10 9 7 8 10 8 2 -2 -1 2 6 8 9 9 8 7 6 6 6 6 7 9 11 14 17 18 18 15 12 8 3 -1 2 5 2 1 4 6 8 7 3 0 0 3 4 5 6 6 7 9 12 14 12 9 5 1 -0 2 4 -0 -3 4 11 8 0 2 11 15 9 4 3 4 2 4 13 20 15 11 13 12 10 11 11 4 -2 -3 3 12 22 21 25 24 18 10 5 3 2 5 7 6 5 6 9 12 10 6 6 7 6 6 6 6 5 4 5 5 5 6 5 5 5 5 6 5 5 5 5 5 6 7 6 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 5 5 6 5 5 4 4 3 3 4 4 3 4 4 4 5 5 5 5 5 4 5 4 4 4 3 3 3 4 4 5 4 4 5 5 4 4 4 4 4 5 5 5 6 7 8 8 8 7 6 5 4 4 4 5 5 5 5 5 4 4 3 2 2 2 4 8 8 6 6 5 4 3 3 6 8 8 7 6 6 6 4 2 5 7 6 5 5 4 3 5 7 7 5 4 4 5 5 5 5 4 5 5 5 6 6 7 7 7 6 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 7 8 9 10 10 9 8 6 5 4 4 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 6 8 9 9 9 8 6 6 6 7 7 7 8 9 10 10 9 7 6 6 7 7 6 5 4 3 2 3 5 7 9 12 13 12 9 5 4 4 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 7 6 6 4 3 3 3 3 3 3 3 4 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 5 6 6 6 5 4 4 4 4 4 4 4 4 4 3 4 6 8 11 12 9 9 9 8 8 10 11 12 16 21 18 11 4 3 5 7 9 9 9 8 8 7 6 5 6 7 8 10 12 16 18 19 17 14 11 8 4 2 5 6 2 -1 1 8 10 10 10 9 6 5 7 8 6 7 8 6 6 7 7 8 6 1 -2 2 5 1 -5 0 9 11 5 3 10 10 2 -3 0 5 6 9 18 23 16 12 15 14 7 3 5 5 1 -5 -1 18 29 26 22 15 7 2 3 1 1 6 8 6 5 7 9 11 9 5 6 7 6 6 6 6 4 3 4 6 5 5 5 5 5 6 5 6 6 5 5 6 7 6 5 4 4 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 5 5 4 5 5 5 4 4 4 3 3 4 4 4 4 5 5 4 4 4 5 5 6 6 5 5 5 5 5 4 4 4 5 5 5 5 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 8 9 9 7 5 3 3 4 5 5 5 5 5 5 5 4 2 2 3 2 3 6 7 6 6 4 3 3 5 8 8 7 7 6 4 2 1 4 7 8 7 5 4 4 5 7 7 6 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 8 9 10 10 10 9 9 8 7 6 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 2 3 3 3 3 3 3 2 1 1 1 2 3 4 5 6 6 8 8 7 7 7 8 7 8 9 9 10 10 9 7 6 6 5 5 5 5 4 3 4 5 7 10 13 15 16 14 9 7 7 6 4 3 3 4 4 4 4 4 5 5 5 5 4 4 5 5 5 6 7 6 6 4 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 5 6 6 5 4 4 4 3 4 4 4 4 4 4 5 7 9 11 13 9 6 6 6 8 10 13 18 26 25 13 4 2 5 8 9 9 7 6 6 7 6 5 5 5 8 9 10 13 16 18 18 15 12 9 7 5 5 6 6 3 1 3 8 9 10 12 10 7 6 8 5 3 7 9 5 3 0 1 8 10 3 -2 1 7 5 -2 -2 5 9 7 6 7 1 -7 -6 3 9 8 8 13 17 13 12 18 15 4 -0 2 5 3 -5 -5 15 28 26 17 5 -5 -3 2 -0 3 11 10 7 7 7 8 9 8 6 6 7 6 6 6 6 4 3 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 6 5 5 5 4 4 4 4 5 4 5 5 4 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 5 4 4 5 5 5 6 7 8 9 10 8 5 3 3 4 5 5 5 5 5 7 8 8 6 5 5 3 2 4 6 6 6 5 3 3 5 7 7 7 7 6 4 2 2 4 7 9 8 6 4 4 6 8 8 7 5 4 4 4 3 3 4 5 5 6 6 6 6 7 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 8 8 8 9 9 10 11 11 11 9 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 3 3 3 3 4 3 2 2 2 1 1 1 1 1 2 2 4 5 6 6 6 6 6 5 6 6 7 9 11 11 10 8 6 6 5 5 5 5 6 5 5 6 7 9 11 14 14 12 11 10 7 4 2 3 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 4 3 3 3 3 3 3 3 3 4 3 3 3 3 4 5 5 6 6 5 4 4 4 3 3 3 3 3 3 3 3 4 5 5 5 5 5 4 4 3 4 4 4 4 4 7 9 11 12 11 8 5 5 7 9 11 13 19 19 9 -2 -2 3 7 8 7 6 5 5 5 6 6 5 5 6 8 9 10 14 17 18 17 14 10 7 6 4 3 4 6 7 8 8 7 4 3 2 2 3 5 8 1 2 8 8 4 2 -3 -3 7 14 6 -2 0 8 10 5 1 3 6 7 6 2 -6 -10 -2 8 10 5 5 10 12 11 12 17 13 6 5 4 3 5 2 1 18 31 24 12 -2 -9 -2 3 3 9 15 12 8 7 7 7 10 9 6 6 7 6 6 6 6 5 4 4 4 5 6 5 4 4 5 5 6 7 7 6 6 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 5 5 5 6 5 5 5 4 4 4 4 5 4 4 4 4 3 2 2 2 3 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 5 5 5 5 5 6 7 8 9 10 7 5 3 3 4 5 5 5 6 6 8 9 11 10 7 6 6 5 5 6 7 6 5 3 4 5 6 6 6 6 5 3 3 3 6 9 12 11 7 3 3 5 8 9 7 6 5 3 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 5 6 5 5 4 4 3 4 4 5 5 5 6 6 6 7 6 7 7 7 8 8 8 8 9 10 12 12 10 8 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 3 3 3 3 3 4 4 3 2 2 1 1 1 0 1 1 1 2 2 3 3 4 4 4 3 3 4 4 6 9 10 11 10 9 7 7 6 7 8 8 7 6 5 6 6 7 8 10 11 12 11 7 3 2 3 5 6 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 4 3 4 3 3 3 3 4 4 3 3 3 3 4 4 5 5 5 6 5 5 4 3 3 3 3 3 3 2 3 3 5 5 5 5 5 5 4 4 4 4 4 4 5 10 13 12 10 8 5 5 6 8 10 11 11 13 1 -11 -8 1 6 8 6 5 3 3 4 5 6 6 5 5 6 7 9 10 14 17 17 16 12 9 7 6 4 2 1 4 8 11 8 3 -0 -1 -2 -1 2 11 12 1 2 6 4 4 4 -0 -3 5 11 5 -0 2 7 10 8 3 2 3 2 2 -2 -7 -4 4 9 8 5 10 15 14 13 14 12 10 11 11 6 3 8 17 17 29 36 22 7 -6 -8 3 7 9 14 14 11 8 7 7 8 10 9 6 6 7 6 6 6 6 5 4 4 4 5 5 5 4 4 5 5 6 7 7 6 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 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 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 3 2 2 2 3 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 5 5 6 7 8 9 8 6 4 3 3 4 5 5 5 5 6 7 9 11 11 8 6 8 5 4 6 7 7 5 4 4 5 6 6 6 6 5 3 3 3 6 11 14 13 9 4 3 4 6 7 7 6 5 4 3 3 3 4 4 5 6 6 6 6 6 6 7 7 6 6 6 6 6 6 5 5 4 4 4 4 5 5 6 6 7 8 7 7 7 7 8 8 8 8 8 8 10 11 10 8 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 3 3 4 4 4 4 3 2 2 3 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 5 6 8 8 8 8 7 7 8 10 10 10 9 8 7 7 7 7 8 10 11 10 7 5 4 5 6 6 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 3 3 3 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 3 3 2 3 3 4 5 5 6 6 5 4 4 4 4 4 4 5 10 14 11 7 5 5 5 6 8 10 10 10 3 -9 -14 -3 6 7 6 5 3 2 3 3 4 6 6 6 6 6 7 8 11 14 17 18 16 9 6 7 5 4 3 2 1 4 6 4 0 -2 0 2 0 7 21 16 5 2 1 2 6 10 5 -0 1 4 4 4 5 7 8 7 4 3 0 -3 -2 -2 -2 2 7 10 9 6 9 10 11 12 11 8 9 13 13 5 -0 6 23 25 31 34 19 4 -8 -6 9 14 15 15 12 10 7 7 7 8 10 9 5 5 7 6 6 6 6 5 4 3 4 4 5 4 5 5 5 6 6 6 6 5 4 4 5 5 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 4 5 5 5 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 4 5 5 4 4 3 3 3 3 3 3 4 6 7 9 8 7 5 3 3 3 4 5 5 5 6 6 7 8 10 11 8 5 5 5 4 6 7 6 5 5 5 6 7 7 6 5 4 4 3 4 6 10 13 13 12 8 5 4 5 5 5 6 6 5 5 4 4 4 4 5 5 6 6 6 6 6 6 7 7 6 6 5 6 6 6 6 5 5 5 4 4 5 5 6 7 8 8 8 8 7 7 8 8 9 9 9 9 8 7 7 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 3 2 2 2 2 1 2 1 2 2 2 3 4 5 6 6 5 5 6 7 8 9 10 10 9 8 8 9 10 11 12 10 10 9 9 9 10 8 6 3 2 3 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 4 4 5 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 4 5 5 5 6 5 5 4 4 4 4 5 6 7 12 12 6 5 6 6 7 10 12 11 7 -1 -6 -3 5 7 6 4 3 3 3 3 3 5 5 6 6 7 6 7 10 13 16 17 18 16 7 5 6 1 2 6 6 4 5 4 2 1 -0 3 6 5 11 17 11 4 1 1 3 11 16 9 3 1 2 5 9 9 7 5 4 4 3 -1 -3 -2 1 4 8 9 11 8 2 2 3 4 6 5 3 6 10 9 3 -0 3 13 18 27 29 16 4 -6 -1 16 22 18 14 10 8 7 8 8 8 9 9 7 5 6 6 7 6 6 6 4 3 4 4 4 4 4 5 6 7 7 6 5 4 4 5 5 5 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 5 4 5 5 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 4 5 5 5 5 4 4 4 3 4 5 5 4 4 4 4 4 3 2 2 3 3 3 3 3 3 3 4 4 4 5 5 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 4 2 -0 -2 -2 -2 -1 2 6 9 8 6 4 3 3 4 4 5 5 5 5 7 7 8 9 11 10 6 3 3 4 6 7 7 6 6 6 6 7 7 6 5 4 5 5 5 6 8 10 12 12 11 8 6 5 5 5 5 5 6 5 5 6 6 5 5 5 5 5 5 6 6 6 7 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 6 7 7 8 8 7 7 8 8 9 10 10 9 8 6 5 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 5 5 6 5 4 3 3 2 1 1 1 1 2 2 3 3 3 4 3 3 3 3 3 4 6 7 9 8 7 7 7 9 10 11 11 11 11 13 15 15 14 10 6 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 5 6 6 5 5 4 4 5 5 6 6 9 11 9 7 7 7 9 11 13 10 5 2 3 5 7 6 5 3 3 3 3 3 4 5 5 7 8 8 8 9 13 16 16 16 16 15 9 7 6 1 2 6 7 8 8 7 7 5 5 7 9 10 6 -0 -2 -2 -0 5 7 12 16 9 6 5 5 9 11 9 7 4 2 3 2 0 2 3 3 8 10 8 7 1 -3 -0 3 6 6 4 1 3 6 3 0 2 4 2 10 27 28 15 5 -1 4 20 25 18 11 7 7 7 7 7 7 10 12 8 5 6 6 6 7 6 5 4 4 4 4 4 4 5 5 7 7 7 6 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 5 5 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 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 3 2 3 3 3 3 3 2 3 3 4 4 5 5 5 4 4 4 5 4 5 6 5 5 5 5 5 5 5 5 3 0 -2 -3 -4 -3 -1 2 5 7 5 4 3 3 4 4 5 5 5 5 6 7 7 8 11 13 8 5 4 5 6 7 7 6 6 7 7 8 6 5 4 5 5 6 6 6 6 8 9 11 12 10 7 5 5 5 5 4 5 5 5 6 6 6 6 5 4 5 5 5 5 6 6 6 5 5 5 5 4 5 6 6 6 6 5 5 5 4 4 4 5 6 7 8 8 7 7 8 9 10 11 10 9 7 5 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 6 9 12 15 17 18 12 10 10 15 16 13 15 16 16 10 1 8 19 15 8 5 7 9 12 12 12 10 12 17 22 23 20 17 15 14 12 10 9 8 6 8 11 13 11 9 9 9 11 14 17 20 21 21 22 22 20 15 11 10 9 10 12 14 14 12 11 12 14 15 15 12 9 9 10 11 12 13 14 15 15 16 17 17 15 15 14 12 10 10 9 8 9 10 11 11 12 12 12 11 11 11 11 12 12 12 13 12 11 11 12 12 12 12 11 12 12 15 20 21 19 17 15 13 12 13 13 14 15 15 13 12 11 11 10 11 12 13 13 13 10 9 9 10 11 11 11 11 11 10 10 10 10 9 10 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 12 12 12 11 11 10 10 11 13 16 16 15 13 12 12 11 11 11 10 11 11 10 11 10 10 9 9 9 11 12 11 11 11 11 11 12 11 11 11 11 11 10 10 10 12 12 12 11 11 10 10 11 12 12 11 11 12 12 12 13 14 12 11 12 12 12 11 9 7 7 11 15 17 14 12 11 10 10 11 11 11 11 10 10 11 11 10 10 11 13 13 13 12 11 12 13 13 12 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 13 13 12 12 12 12 12 12 12 11 10 8 8 9 8 9 11 12 13 13 13 13 13 13 13 12 12 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 12 12 13 13 14 13 13 13 13 13 14 14 14 15 14 13 13 16 17 14 12 11 9 9 11 12 13 13 13 13 14 14 15 15 15 14 15 16 16 15 17 18 18 18 15 13 13 13 12 12 12 12 12 14 16 20 21 19 16 15 14 14 14 13 12 12 11 12 12 12 11 12 13 13 13 12 12 11 11 11 12 12 13 13 13 14 15 14 14 14 15 15 14 13 13 14 16 16 16 14 13 13 14 13 13 14 14 13 12 11 11 11 12 12 13 14 14 14 14 14 14 13 14 13 13 13 14 14 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan -0 3 10 18 18 15 13 5 1 5 26 32 16 10 8 11 14 14 13 15 14 15 20 23 23 20 16 14 12 8 6 7 8 9 11 13 13 13 11 10 9 10 11 12 13 12 13 16 17 16 13 10 8 9 11 12 14 16 15 13 14 15 15 15 14 11 11 10 11 12 12 14 15 16 16 18 18 17 16 14 11 10 8 8 8 8 8 9 10 11 12 13 12 12 12 12 13 13 13 13 12 12 12 12 13 13 13 14 16 17 19 21 20 19 16 14 13 12 13 12 14 16 14 12 9 9 10 11 12 12 12 13 13 11 10 10 11 11 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 10 10 9 9 9 9 10 10 10 11 11 11 12 11 9 8 8 10 13 16 17 16 14 13 12 12 11 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 12 12 12 11 11 11 10 11 12 12 12 11 9 8 9 10 12 13 12 10 9 8 12 15 14 12 11 12 13 13 12 7 4 7 10 13 14 14 13 12 11 11 11 11 11 11 10 11 12 11 10 10 11 12 12 12 12 12 12 12 13 13 12 12 11 11 11 11 12 12 12 12 11 11 12 13 13 12 13 12 12 12 12 12 11 10 9 6 7 11 13 13 13 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 12 13 14 14 13 13 13 13 13 13 13 13 14 14 14 14 15 14 11 10 10 10 10 12 12 13 13 13 13 13 14 14 14 14 14 14 14 15 16 19 18 16 15 13 13 13 13 12 12 12 12 12 13 13 14 14 13 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 13 14 14 15 15 15 15 14 14 14 14 13 14 14 15 15 15 13 13 14 14 15 14 14 14 14 13 11 11 11 13 13 13 13 13 14 14 13 14 14 14 14 12 12 12 13 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 -0 0 14 19 17 10 8 7 9 10 12 15 19 20 21 18 17 14 11 11 10 8 9 11 14 16 17 17 15 15 12 10 7 5 5 5 4 1 2 6 7 8 8 8 8 9 11 12 14 15 14 13 14 15 16 16 16 13 10 10 10 11 11 10 11 12 13 15 16 15 14 12 10 9 8 8 8 7 9 10 12 14 14 14 13 13 13 14 14 13 13 12 12 11 11 11 12 13 14 15 17 19 20 20 18 17 15 14 14 13 12 12 13 14 13 11 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 12 11 10 10 10 10 11 11 11 11 10 10 11 11 11 10 9 9 10 10 9 9 10 10 9 10 10 10 10 11 11 10 8 7 7 8 12 14 16 16 14 14 13 12 11 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 11 11 11 12 11 11 11 12 12 12 11 10 9 9 10 11 12 13 11 9 6 9 13 13 12 11 11 11 13 14 12 8 7 7 9 11 12 13 13 12 11 11 11 11 11 11 11 11 11 11 10 11 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 11 12 12 12 11 12 12 12 13 13 13 13 12 13 12 10 9 8 10 11 11 12 13 14 13 13 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 11 12 12 12 12 12 12 12 13 13 12 12 13 13 12 12 11 11 11 11 11 11 11 12 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 14 15 14 14 13 12 11 11 13 13 13 13 12 13 13 13 13 13 14 13 14 14 13 13 14 15 17 17 17 15 13 13 13 13 13 13 13 13 12 12 12 12 12 12 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 15 15 15 14 14 14 14 14 13 13 13 14 14 14 15 14 13 12 13 13 13 14 15 15 15 14 12 12 11 12 13 13 13 14 13 13 13 13 13 13 13 13 13 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 7 11 17 21 21 19 16 13 11 10 8 9 7 7 12 15 17 19 18 17 14 13 13 12 7 3 1 1 2 1 2 4 4 5 7 8 10 12 12 13 13 13 14 16 17 17 17 17 15 12 10 10 10 10 9 8 9 10 12 14 15 14 13 11 9 8 8 9 10 10 12 15 18 19 18 16 15 15 15 15 14 13 13 12 12 12 11 10 11 12 13 13 15 14 14 15 15 15 15 14 14 13 12 12 11 12 12 12 12 11 12 12 12 11 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 11 11 11 11 11 11 10 10 10 10 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 8 7 8 10 13 16 16 15 13 12 11 11 10 11 11 11 11 12 12 11 10 11 11 10 11 10 10 10 10 11 12 12 11 12 12 12 12 11 11 11 11 10 9 9 9 10 11 11 11 10 9 9 11 11 11 11 11 11 12 13 14 12 9 8 8 9 9 11 12 12 11 10 10 11 11 11 12 12 12 11 10 11 12 12 12 12 12 11 12 12 13 13 13 13 12 12 12 11 11 12 12 12 12 12 12 13 13 13 13 12 11 11 11 10 10 12 13 14 14 14 14 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 13 13 13 14 14 14 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 14 15 15 14 13 13 12 12 12 13 13 13 13 12 12 13 13 13 13 13 13 13 13 13 14 13 13 15 17 18 16 14 13 13 13 13 12 12 13 13 13 13 13 12 12 13 13 13 13 13 12 11 12 11 12 12 12 12 12 13 13 12 13 14 14 14 14 15 15 15 15 15 14 14 14 14 13 13 13 12 12 13 14 14 13 13 12 13 14 14 12 13 14 15 15 13 12 11 12 12 12 12 13 13 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 10 8 7 8 10 12 14 14 16 15 14 13 11 12 13 12 9 6 5 5 8 13 15 15 13 14 15 17 18 17 15 13 14 18 21 21 20 17 13 12 11 10 10 10 9 9 8 7 9 12 14 15 15 14 12 10 10 10 12 13 15 18 21 24 23 19 16 15 16 16 16 14 14 13 13 13 13 12 12 12 13 13 13 12 10 10 10 10 12 13 13 13 12 11 11 11 11 12 12 12 12 12 12 12 11 11 12 11 11 11 11 12 11 10 10 11 11 10 9 10 11 12 12 12 11 10 10 10 10 10 9 10 10 10 11 10 10 10 10 10 10 9 10 9 10 10 10 11 11 9 8 8 9 14 16 15 14 13 12 11 10 10 11 11 11 12 12 11 11 11 11 11 11 10 9 8 7 10 12 13 12 13 13 12 12 12 11 11 9 10 11 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 12 12 11 11 10 9 9 9 9 10 11 11 10 10 10 11 11 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 13 13 13 12 12 12 12 13 13 12 11 11 12 14 14 14 14 14 14 14 13 12 13 12 12 12 12 11 11 12 11 12 12 12 12 12 12 12 12 12 13 14 14 14 13 14 15 14 14 14 14 15 14 14 14 13 13 13 13 13 13 12 13 13 13 12 13 13 13 13 12 12 13 13 12 12 13 13 14 15 14 13 11 11 12 12 12 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 15 18 19 18 15 12 13 12 12 12 12 12 12 13 13 13 12 12 12 12 12 13 12 12 12 12 11 12 13 12 12 12 13 13 13 13 14 15 14 14 15 15 14 14 14 14 14 13 13 13 12 12 12 13 12 13 12 12 12 13 13 13 11 11 12 13 14 13 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 21 21 22 23 25 26 26 24 24 24 25 26 29 30 29 28 28 28 27 26 26 25 22 21 23 26 28 33 43 49 43 35 27 22 22 26 32 32 33 35 38 36 34 29 24 19 16 13 13 12 13 14 14 13 13 12 10 10 10 11 11 10 9 10 11 10 9 8 7 6 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 6 4 4 4 5 6 6 5 5 6 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 7 9 22 21 36 36 38 41 42 44 46 48 48 47 41 25 16 14 7 1 0 1 20 16 2 0 9 40 56 62 64 68 76 80 77 72 68 70 79 89 97 98 86 58 36 29 28 27 23 22 28 33 36 35 30 24 19 17 17 15 13 10 6 2 4 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 19 24 14 34 48 59 62 66 73 81 84 89 97 105 107 107 104 99 94 88 82 84 103 107 87 81 104 137 152 151 148 140 130 120 109 106 111 117 117 120 132 138 146 146 143 141 140 134 131 129 128 133 148 166 173 154 134 118 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 21 20 20 20 19 19 20 20 20 21 21 19 19 22 22 23 23 24 25 25 24 23 22 20 19 21 24 27 32 35 30 22 17 15 15 16 22 26 29 33 38 38 36 33 27 23 18 14 11 9 8 10 12 13 14 13 11 10 9 9 9 9 9 9 10 10 10 10 9 8 8 7 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 6 1 2 3 3 4 5 6 6 5 6 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 9 7 7 10 16 23 30 31 33 37 39 42 44 44 38 33 27 19 15 13 3 0 0 0 0 0 0 0 4 31 46 50 44 49 61 68 68 64 60 59 63 69 75 78 74 55 38 33 31 29 23 18 18 20 21 22 17 13 13 16 17 17 15 13 10 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 28 12 30 50 59 58 56 56 56 59 71 82 102 116 118 115 110 105 103 102 103 108 104 95 103 120 132 140 143 143 138 130 121 112 110 112 111 107 107 117 135 146 142 133 132 135 133 125 118 115 117 130 152 170 167 152 135 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 19 20 20 19 19 18 18 18 19 18 19 19 23 21 17 16 16 16 19 22 24 23 23 24 24 23 22 21 21 23 24 20 16 12 10 9 8 12 17 22 26 31 34 34 34 29 25 21 17 13 10 6 5 6 9 11 13 13 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 7 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 1 0 0 1 1 3 5 6 5 5 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 17 13 10 12 18 24 27 29 31 33 36 38 39 36 26 20 16 15 15 11 3 0 0 0 0 0 0 0 6 26 39 38 19 15 38 54 56 55 54 53 54 56 60 64 60 47 38 34 32 31 29 26 20 16 17 16 15 14 13 15 15 15 14 14 14 9 1 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 12 27 32 35 48 52 49 46 45 45 39 49 70 86 105 121 123 118 115 115 116 117 116 113 108 105 111 119 125 128 130 131 129 126 124 122 120 123 122 119 112 115 127 138 137 134 132 132 130 123 116 111 109 117 136 162 175 168 151 139 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 12 16 17 18 18 19 19 19 18 18 18 19 20 21 18 14 12 13 15 18 22 23 24 25 31 33 30 24 21 21 21 19 17 15 12 11 11 13 14 16 18 21 25 28 30 30 27 23 19 15 12 8 5 4 6 7 9 10 11 10 11 10 10 10 10 11 12 11 10 10 10 10 9 8 8 8 8 8 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 2 0 0 0 0 1 4 6 6 5 6 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 14 23 21 16 16 19 27 25 28 29 29 31 32 29 24 17 12 12 12 11 8 4 1 0 0 0 0 0 0 6 22 32 26 9 1 16 37 44 44 45 44 41 35 36 45 46 38 32 28 27 26 27 29 23 16 18 17 16 14 14 15 14 14 13 14 15 14 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 1 0 0 0 10 18 24 36 46 43 32 26 35 59 79 98 114 123 130 138 135 124 120 120 122 124 125 124 119 117 118 119 120 120 119 118 115 113 114 116 118 123 128 130 128 123 120 124 131 134 132 128 125 122 119 112 106 109 127 155 178 177 163 147 137 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 7 11 14 16 18 19 18 17 16 17 18 18 18 18 15 13 13 13 15 20 25 26 26 32 40 40 31 25 23 23 21 21 21 19 18 18 19 18 16 16 17 19 22 25 28 28 24 20 16 14 11 6 4 4 4 5 6 8 10 11 12 13 13 13 13 12 11 10 11 11 9 8 8 8 8 7 8 8 7 6 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 0 0 0 0 0 1 4 6 6 7 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 8 12 16 17 17 20 23 22 25 23 21 24 25 16 11 11 8 7 7 7 6 5 2 1 1 1 0 0 0 7 21 28 21 8 0 5 17 23 23 27 24 16 10 8 12 18 21 16 14 17 18 18 22 20 18 19 17 16 14 14 16 15 14 12 13 16 16 13 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 9 18 22 33 40 36 41 83 133 154 149 144 145 148 144 137 130 127 126 126 125 125 125 123 121 119 117 114 108 103 99 96 97 99 103 110 120 131 138 133 119 113 121 130 130 125 120 119 119 115 106 106 121 148 175 182 172 153 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 2 4 8 11 14 16 16 15 15 16 17 16 16 16 17 18 16 12 11 15 20 21 19 24 35 39 35 29 26 25 25 24 24 24 24 23 23 22 19 19 19 19 20 21 24 25 24 20 16 14 14 10 6 4 4 4 5 6 6 8 9 11 12 12 12 11 10 9 11 12 9 8 8 7 7 7 7 7 7 8 8 5 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 2 0 0 0 0 0 0 2 5 7 7 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 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 1 2 2 2 3 4 6 10 13 13 11 12 15 14 10 14 17 9 6 6 8 13 15 10 7 6 5 4 5 7 5 2 2 10 21 21 11 3 0 0 1 0 2 5 3 0 0 0 1 2 7 10 12 13 15 16 18 18 17 16 15 14 12 13 15 15 14 13 14 15 15 15 14 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 17 16 35 60 66 81 112 149 162 148 136 135 138 142 144 139 135 132 129 127 127 126 124 121 118 115 110 102 94 88 82 79 79 83 92 106 123 140 143 128 112 112 118 120 118 117 116 118 118 112 107 118 140 169 184 180 160 139 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 1 2 5 8 11 12 12 12 14 15 15 14 15 17 19 18 12 8 10 12 11 9 13 24 32 34 31 29 28 26 23 22 24 25 25 24 23 22 23 24 23 22 22 22 22 23 21 17 14 14 14 10 6 5 4 4 5 5 5 6 6 7 8 8 9 8 8 10 11 9 8 8 7 7 6 6 6 6 7 7 7 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 0 0 0 0 0 0 0 3 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 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 1 0 2 7 13 9 7 8 6 5 8 12 18 20 15 9 7 7 10 14 18 14 7 5 9 14 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 11 14 16 13 9 4 9 6 4 7 12 13 13 14 15 15 15 15 16 15 10 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 3 20 46 50 62 76 83 112 132 153 151 137 123 115 116 121 127 127 126 126 125 125 125 122 120 118 113 108 102 96 91 85 77 73 69 69 75 87 105 131 147 139 119 106 105 107 109 111 113 115 118 115 110 116 134 159 180 187 176 155 nan nan nan nan nan nan nan nan nan 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 4 6 8 9 12 12 12 12 13 15 16 14 11 7 7 7 6 3 5 14 24 29 29 28 29 28 24 24 26 27 25 26 26 26 27 28 27 25 24 22 18 20 21 18 16 14 15 13 8 5 5 5 5 4 5 5 5 4 5 5 6 7 8 9 10 9 8 8 7 7 7 6 6 6 6 7 7 6 5 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 7 7 5 5 5 6 11 17 19 18 14 10 9 11 15 20 22 18 11 5 6 7 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 4 2 0 0 0 0 0 6 9 11 13 16 16 15 15 15 14 11 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29 66 90 101 90 94 110 126 140 142 131 114 101 98 98 96 96 97 99 102 105 108 108 109 107 101 95 90 88 88 85 80 78 75 71 70 72 85 119 148 145 123 104 96 96 99 104 108 111 114 113 111 114 126 148 173 191 194 176 160 nan nan nan nan nan nan nan nan 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 1 1 2 4 8 10 10 9 10 10 10 9 8 6 6 4 2 1 2 7 17 22 24 25 28 28 28 29 33 35 36 34 32 31 31 30 29 28 27 24 19 18 20 19 16 14 14 13 8 6 5 5 4 4 5 6 6 5 4 5 6 7 8 9 9 9 8 7 7 7 7 7 6 6 6 6 7 6 6 6 5 4 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 12 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 4 5 9 15 16 14 12 11 10 9 11 17 21 21 17 10 3 2 2 5 4 4 0 2 2 1 2 1 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 4 7 12 15 15 15 14 13 10 5 5 8 9 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 29 64 93 99 95 96 102 112 126 137 133 116 98 88 84 79 74 73 76 80 82 86 93 97 96 93 87 83 82 84 85 83 83 85 83 78 73 80 108 136 141 125 108 99 97 99 103 105 106 106 107 108 110 117 135 162 187 198 190 168 nan nan nan nan nan nan nan nan 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 2 4 5 5 5 5 4 3 3 4 4 2 1 1 1 4 9 14 17 20 20 21 25 29 32 34 38 39 38 36 35 33 30 28 28 26 21 17 18 18 16 13 13 12 10 8 7 6 6 6 7 8 8 7 6 6 7 7 7 8 8 7 7 6 6 6 7 6 6 6 5 6 6 7 6 6 6 6 5 4 3 2 2 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 11 14 10 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 1 1 0 0 0 0 0 1 2 5 12 14 11 8 5 5 7 8 10 13 17 18 15 8 2 0 2 8 7 6 6 7 6 6 6 4 2 2 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 11 12 12 11 6 1 1 6 8 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 17 36 61 85 94 92 88 86 90 105 125 133 122 104 88 80 75 70 68 70 75 78 77 87 94 96 95 88 86 86 84 84 83 86 92 94 90 84 86 105 128 136 129 119 113 110 108 108 107 102 97 96 102 106 109 120 146 175 192 190 165 nan nan nan nan nan nan nan 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 1 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 2 2 2 2 1 1 2 3 6 10 12 12 11 12 17 19 20 24 31 35 35 36 34 30 28 28 26 21 17 17 17 15 12 11 10 10 9 9 8 7 7 7 8 7 7 7 7 7 7 6 6 6 6 6 5 5 5 6 6 6 6 5 5 6 7 7 6 6 5 5 5 5 4 3 2 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 7 11 14 13 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 6 10 8 4 3 1 1 2 3 5 8 10 12 12 7 5 3 5 10 10 10 12 9 7 7 7 6 5 5 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 9 8 4 0 0 2 3 1 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 24 39 56 71 83 86 79 73 74 85 106 122 119 110 101 93 86 81 80 79 81 80 79 88 98 106 104 97 95 94 93 89 86 90 99 105 103 94 92 104 124 133 133 134 135 133 126 117 111 102 91 85 92 102 103 105 126 163 183 178 157 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 5 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 3 1 0 0 0 2 5 7 7 5 5 6 6 7 13 19 23 27 31 31 28 26 25 24 20 17 17 17 16 13 10 8 8 7 7 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 6 6 7 7 6 6 6 6 6 6 5 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 7 8 13 14 11 13 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 5 6 3 1 0 0 0 0 0 1 2 3 5 6 6 6 7 8 8 6 7 8 6 6 6 6 6 5 5 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 2 0 0 0 0 0 0 0 0 1 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 23 33 43 56 72 82 78 70 70 79 90 97 97 99 105 110 106 101 101 98 95 85 81 92 106 118 118 110 108 110 111 108 103 103 110 118 118 110 101 106 120 130 136 145 151 149 140 124 113 105 88 76 82 96 102 102 115 147 169 165 151 nan nan nan nan nan nan nan 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 6 8 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 8 4 0 0 0 0 1 3 5 4 4 3 2 2 4 7 11 15 19 23 24 24 22 21 19 17 16 16 17 17 15 12 10 8 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 4 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 7 9 12 13 17 19 17 17 16 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 0 0 1 4 4 1 0 0 0 0 0 0 0 0 0 0 2 3 4 6 5 3 1 2 1 0 2 4 4 3 2 2 2 4 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 22 28 40 60 79 80 72 77 85 87 82 77 82 92 108 115 115 115 110 101 90 86 97 117 131 132 127 127 130 133 134 128 119 115 125 134 127 114 108 121 130 137 150 153 145 135 121 112 104 92 83 84 96 108 109 114 140 163 160 148 145 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 4 6 7 7 5 2 1 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 4 0 0 0 0 1 2 4 4 3 2 2 3 6 8 10 12 14 15 16 17 17 16 14 14 15 16 17 16 16 13 12 10 9 6 5 5 6 6 6 7 7 7 6 6 6 6 6 6 6 5 5 4 5 5 4 4 4 5 5 5 5 6 7 7 7 7 7 6 6 6 7 5 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 11 13 16 16 18 20 22 20 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 1 1 0 0 0 0 1 2 2 0 0 0 0 0 0 1 1 0 0 0 0 1 4 7 8 7 5 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 1 1 0 0 0 0 0 2 12 18 22 32 51 71 76 75 87 98 96 88 81 81 85 91 98 102 102 98 92 86 88 104 128 141 139 136 139 144 149 152 148 139 130 132 147 145 129 119 127 132 138 146 142 127 113 108 107 105 99 94 96 108 122 124 124 145 168 166 153 152 nan nan nan nan nan 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 3 5 6 7 6 5 3 2 0 0 0 0 0 0 0 0 0 2 5 9 10 10 8 6 3 2 1 2 1 1 2 4 4 4 3 7 10 10 11 11 12 12 12 12 12 12 12 12 14 15 16 17 16 14 13 12 12 10 9 8 7 7 6 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 6 6 7 8 7 7 7 6 6 7 6 4 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 14 17 18 18 18 19 23 20 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 3 3 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 6 6 5 6 6 6 4 2 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 1 2 2 0 0 0 0 0 0 6 16 20 28 47 63 68 72 87 103 104 99 96 94 91 87 84 84 84 83 82 83 92 111 133 142 136 133 138 144 146 148 147 146 143 140 150 156 147 136 134 134 136 138 130 110 97 101 112 119 116 111 116 131 146 147 142 155 174 173 159 159 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 1 3 5 6 6 6 6 6 5 5 2 1 0 0 0 0 0 0 1 4 9 11 12 11 8 6 5 4 3 1 0 1 3 4 4 5 9 12 12 11 10 11 11 12 12 11 10 10 11 12 13 15 16 16 15 13 13 13 12 12 10 10 9 7 5 5 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 5 6 7 7 7 7 7 6 6 7 7 4 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 12 15 17 18 18 18 20 21 16 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 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 1 2 1 1 3 2 3 3 4 3 4 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 0 0 1 1 1 2 3 3 1 0 0 0 0 1 2 10 17 21 30 47 60 65 68 80 94 100 100 102 103 99 90 80 75 75 76 78 83 95 115 131 133 125 124 127 132 130 128 131 138 145 143 144 153 157 147 136 132 132 132 120 99 91 105 128 144 148 143 145 159 174 174 157 160 173 168 158 161 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 1 3 5 5 5 5 5 5 6 5 3 1 0 0 0 0 0 0 2 5 8 10 10 7 5 5 4 2 0 0 0 1 2 3 5 9 11 12 11 9 10 10 11 12 10 10 10 12 12 12 13 14 15 14 13 13 13 13 12 11 10 10 8 6 4 4 4 4 4 4 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 5 5 6 7 7 6 6 6 7 6 5 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 13 15 18 17 16 17 19 20 17 10 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 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 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 1 4 8 7 3 1 1 0 0 0 2 4 4 4 4 1 2 0 0 0 0 1 3 4 10 17 22 30 46 61 67 67 71 79 84 85 89 92 92 86 75 70 66 66 72 79 90 110 123 122 117 120 125 125 118 114 118 131 145 142 132 131 138 143 139 132 131 131 121 100 92 108 138 158 164 164 162 168 179 186 178 173 169 156 146 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 2 3 4 4 4 4 4 4 5 4 3 1 0 0 0 0 0 0 2 4 6 7 4 2 2 2 1 0 0 0 0 1 2 4 7 8 8 7 7 8 9 9 10 10 9 10 12 12 11 11 12 14 14 13 12 12 12 11 10 8 8 8 5 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 12 16 18 17 15 17 18 17 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 18 10 6 7 5 4 1 0 1 3 4 2 0 0 0 0 0 0 1 3 4 10 16 21 28 42 60 69 68 67 68 69 68 70 73 76 75 67 64 58 58 64 70 82 98 109 111 116 126 131 127 118 112 113 125 142 146 132 110 106 124 147 140 136 135 131 116 102 110 130 141 139 140 142 140 142 160 179 186 176 159 145 148 159 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 0 0 0 0 1 3 4 6 7 5 3 4 4 3 2 0 0 0 0 0 0 0 2 2 1 1 0 1 2 1 1 0 0 1 3 4 4 4 4 3 3 4 5 7 8 8 9 8 8 10 12 11 10 11 12 13 13 11 10 8 6 5 4 4 4 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 3 2 2 2 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 11 19 18 17 16 16 16 14 8 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 22 18 17 20 22 14 8 2 0 0 1 0 0 0 0 0 0 0 0 1 2 5 12 17 22 33 52 65 67 67 65 63 61 62 64 69 69 64 59 55 54 55 60 71 83 93 100 113 132 141 135 123 113 109 115 129 145 143 116 104 120 150 145 139 137 138 137 134 134 136 134 126 114 112 101 86 100 148 183 182 181 176 176 173 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 1 0 0 0 0 2 5 9 13 12 9 7 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 3 4 3 1 0 1 1 1 2 3 5 7 8 8 7 8 9 10 10 10 11 12 12 10 7 4 1 1 1 1 1 0 0 0 1 2 2 2 3 3 3 3 3 3 3 3 4 4 4 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 2 1 2 2 2 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 10 19 17 17 15 13 13 12 6 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 1 4 5 8 14 14 14 19 26 34 39 30 16 7 3 2 0 0 1 0 0 0 0 0 0 0 1 3 7 14 26 42 59 65 66 65 64 63 63 63 65 66 64 60 57 51 47 50 58 70 80 90 110 137 151 140 124 109 100 99 110 130 143 135 130 142 148 143 141 141 142 148 157 164 165 156 148 145 127 91 58 55 99 144 168 196 204 205 195 nan nan nan 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 0 0 0 0 0 1 3 9 14 15 14 12 10 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 0 0 2 5 7 8 7 7 8 9 10 10 10 11 10 8 5 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 1 1 2 2 3 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 2 1 1 1 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 16 14 14 11 9 10 9 4 4 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 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 3 12 21 21 16 14 6 4 8 14 23 42 59 56 35 20 12 9 7 7 5 0 0 0 0 0 0 0 0 0 4 20 35 55 63 62 61 63 66 65 64 64 64 63 60 58 54 49 50 54 62 70 80 102 134 149 138 118 98 85 81 91 110 128 136 141 144 139 136 140 146 151 155 164 177 183 178 169 165 147 107 66 48 67 90 131 181 200 207 203 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 0 0 0 0 0 0 2 8 12 12 12 12 13 13 11 8 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 0 0 0 2 5 7 8 8 8 10 10 9 9 9 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 1 2 2 2 2 3 3 4 4 4 4 4 2 0 1 1 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 14 13 11 8 8 9 7 3 5 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 29 35 35 39 37 20 9 4 3 8 20 42 66 73 59 43 34 28 25 18 6 1 0 0 0 0 0 0 0 0 15 32 49 58 59 55 54 57 58 58 58 58 58 58 59 60 59 60 62 65 67 74 92 123 142 134 114 92 76 70 82 100 118 131 138 135 125 122 131 145 157 166 174 181 186 185 173 165 159 125 84 71 74 80 113 156 179 188 192 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan 8 6 3 0 0 5 11 14 14 13 9 3 0 0 0 0 0 1 2 3 4 8 13 16 17 15 11 9 11 12 10 6 3 1 0 0 0 0 0 0 0 2 3 3 2 0 0 0 1 4 5 6 6 6 5 5 5 6 6 6 6 4 3 2 2 1 0 0 0 0 0 1 2 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 2 2 1 0 0 0 0 0 1 1 2 2 2 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 10 8 8 8 8 8 7 4 4 7 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 8 5 3 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 2 4 4 2 0 3 8 8 6 5 3 3 4 6 12 23 33 40 43 36 21 6 6 21 53 83 89 72 50 32 23 15 8 4 1 0 0 0 0 1 3 6 9 11 14 18 20 19 18 18 20 33 45 50 55 65 74 79 78 76 74 71 69 70 75 85 91 88 84 84 86 94 107 127 145 147 137 130 128 124 121 129 143 152 155 157 164 182 185 161 144 129 134 138 146 152 156 158 157 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 4 1 0 0 2 6 11 12 14 12 8 5 3 2 1 0 0 0 0 0 1 4 7 8 8 7 9 13 18 16 10 7 4 2 0 0 0 0 0 0 0 2 2 1 0 0 0 1 2 3 3 2 2 3 4 7 10 9 6 6 4 2 2 2 2 2 0 0 0 0 2 4 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 2 1 0 0 0 0 1 1 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 1 5 7 5 7 7 8 8 6 3 3 7 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 4 8 11 9 7 4 3 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 4 10 13 13 10 4 1 1 0 0 0 0 0 0 1 4 10 17 26 38 40 27 4 2 11 28 58 86 85 62 38 27 22 16 9 5 2 0 0 0 0 0 0 2 4 10 12 13 13 7 10 13 18 31 39 44 57 71 76 71 67 65 61 57 60 65 72 78 80 80 83 86 87 92 103 117 129 135 133 128 118 108 109 120 131 136 140 147 162 179 173 143 91 82 108 137 154 155 153 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 14 13 10 6 3 2 2 3 5 6 8 10 11 10 10 9 7 2 1 2 3 5 7 6 5 5 2 0 1 3 7 10 12 13 12 10 6 3 0 0 0 0 0 0 1 1 2 3 4 4 3 0 0 0 0 0 0 3 9 12 8 4 2 0 1 3 4 5 4 4 4 3 4 4 5 4 4 3 2 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 2 4 6 6 4 3 2 0 0 0 0 0 0 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 6 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 6 7 4 3 5 8 10 11 10 7 5 4 3 4 4 4 4 6 4 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 5 6 5 5 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 16 17 14 10 6 3 1 0 0 0 0 0 7 10 11 20 31 31 17 11 17 22 29 52 76 78 64 52 50 42 25 13 5 0 0 0 0 0 0 0 0 6 11 12 8 3 0 0 0 3 8 20 38 53 65 66 61 53 47 51 50 50 51 52 53 56 68 73 73 76 79 81 83 87 93 94 90 94 101 105 107 108 110 108 112 132 163 162 131 94 75 95 130 164 182 157 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 18 18 16 13 10 8 7 6 6 6 8 10 10 10 9 8 7 5 4 5 8 11 11 10 10 9 6 2 1 1 3 5 8 9 10 9 5 1 0 0 0 0 0 1 4 3 3 6 9 11 9 3 1 0 0 0 0 1 5 12 9 4 1 1 2 4 6 9 10 10 8 5 4 4 5 5 4 2 1 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 2 4 7 8 6 3 2 2 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 0 1 2 3 5 9 12 13 12 10 7 5 4 4 5 5 6 7 8 7 3 1 1 1 1 1 1 2 2 2 3 4 6 6 8 10 10 10 9 8 7 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 18 19 17 14 10 6 0 0 0 0 1 4 6 9 14 21 26 28 28 31 32 34 45 60 62 56 60 72 67 45 30 18 2 0 0 0 0 0 0 0 1 5 6 3 1 0 0 0 0 1 8 31 49 67 76 72 62 51 48 48 47 45 44 45 48 55 61 64 67 72 75 75 75 76 77 73 82 97 106 108 106 105 104 105 115 133 153 167 169 155 152 158 168 180 155 99 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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8 10 11 11 11 10 7 4 4 3 3 4 4 3 2 2 1 3 6 9 11 12 12 11 8 10 14 19 23 23 20 23 26 30 38 47 51 52 53 54 51 39 25 12 7 5 6 7 9 9 7 7 8 9 11 14 22 30 32 28 22 17 16 19 20 19 13 7 6 6 7 8 9 14 18 18 17 16 17 18 18 23 32 39 40 39 41 45 44 42 39 35 37 46 57 60 60 58 47 27 19 14 7 6 3 1 0 0 0 0 0 2 5 8 11 14 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 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 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 5 17 25 24 17 12 9 8 8 8 8 7 4 0 1 3 4 2 0 0 0 0 0 0 1 1 0 1 6 12 16 18 18 15 10 5 1 3 4 6 8 14 23 36 48 54 58 67 86 106 119 129 133 133 130 125 119 108 95 84 77 72 68 64 62 67 77 85 88 90 90 91 93 97 100 100 97 95 93 91 88 84 80 79 79 78 72 67 63 59 57 58 59 64 72 80 87 93 96 99 100 99 97 93 89 87 89 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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6 6 6 6 8 10 11 12 12 12 12 10 6 3 3 4 4 3 3 4 5 6 9 12 13 14 18 21 20 17 16 15 15 14 13 14 18 20 24 28 34 45 53 43 21 7 7 10 12 10 7 6 7 9 11 12 12 12 14 16 18 22 26 26 23 18 14 11 13 17 19 19 20 26 35 41 42 36 25 12 6 13 24 37 46 52 59 64 61 52 45 43 46 51 58 64 66 66 58 45 34 24 12 5 3 4 9 14 14 13 12 12 13 13 14 14 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 8 20 24 17 10 7 7 8 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 19 36 49 52 47 42 33 18 14 12 8 2 0 0 3 10 21 34 51 56 56 56 60 73 85 93 99 106 114 122 131 137 137 131 125 120 115 113 112 111 112 113 113 110 108 111 114 115 115 115 115 115 116 116 115 117 119 117 116 116 110 100 86 72 61 53 48 48 50 53 61 68 78 86 93 97 99 101 101 100 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 14 15 14 13 14 16 17 17 17 16 12 8 4 4 4 5 5 5 4 4 4 7 12 17 18 17 17 16 15 14 14 15 14 13 12 13 13 13 13 16 28 44 46 31 13 8 14 15 13 10 8 8 8 9 11 13 12 11 13 18 32 43 39 32 28 24 18 15 16 21 27 32 37 43 49 51 49 42 27 14 12 18 27 37 50 61 64 60 53 49 50 53 54 56 62 64 60 57 52 41 26 13 7 7 12 20 25 19 17 15 15 16 15 14 14 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 21 22 13 6 6 8 8 7 5 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 3 12 30 53 67 67 56 48 31 16 12 12 9 4 0 0 1 5 11 20 37 48 54 56 56 60 66 70 71 72 78 88 99 113 123 128 128 124 119 114 112 112 111 108 101 94 91 93 96 96 95 96 98 100 101 102 101 100 101 102 103 106 110 110 103 89 74 64 55 48 45 44 46 52 61 72 81 88 91 95 99 100 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
22 22 20 19 18 18 17 17 18 17 17 14 11 8 8 9 9 8 7 6 6 5 7 11 16 16 14 13 13 13 13 13 14 15 16 14 14 14 14 12 12 18 33 43 39 25 18 18 17 14 10 8 8 9 9 9 9 9 9 10 16 29 45 40 31 28 27 20 14 14 20 31 42 49 54 54 53 53 52 46 33 21 16 20 31 46 57 59 57 56 56 58 60 60 58 61 64 60 56 53 36 23 15 12 13 18 25 29 26 22 20 21 20 16 12 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 2 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 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 1 8 22 21 9 4 6 8 7 6 3 1 0 0 0 0 0 3 3 2 0 0 0 0 0 1 6 18 38 66 76 67 56 46 26 14 10 10 7 3 1 0 0 1 4 10 21 32 45 53 54 54 57 59 55 53 54 56 63 74 87 100 108 110 105 98 96 97 99 97 87 79 76 76 75 74 74 76 80 86 88 88 86 85 82 81 81 84 89 94 94 89 80 72 61 52 44 38 37 40 48 56 64 73 80 86 91 94 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
22 21 20 20 19 19 18 16 16 16 15 14 12 11 11 11 10 9 9 9 9 8 9 11 14 14 12 11 12 12 13 14 15 16 17 18 18 17 16 15 13 14 21 33 40 39 33 27 19 12 7 5 8 10 10 9 9 10 10 12 14 19 29 31 23 22 22 19 15 14 17 27 43 57 60 48 43 45 50 48 41 29 21 22 31 43 49 53 56 59 60 61 62 62 63 66 72 71 68 65 39 22 18 16 18 26 33 35 31 25 23 24 17 10 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 3 4 3 3 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 1 2 3 3 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 20 19 9 5 7 8 6 5 2 0 0 0 0 1 5 11 10 5 1 0 0 0 0 2 10 25 49 77 79 64 55 45 26 13 10 9 7 4 3 1 0 0 0 3 9 17 29 41 48 51 52 53 51 49 47 46 46 48 54 64 78 92 93 87 82 82 83 82 79 76 73 70 66 62 60 60 68 75 77 77 75 73 71 68 67 68 72 74 76 77 75 68 60 52 42 35 31 31 36 43 48 56 66 75 80 84 90 92 nan nan nan nan nan nan nan nan nan nan nan nan nan
19 18 19 19 20 21 20 18 16 15 16 16 14 12 11 10 9 8 9 9 9 9 10 11 12 11 10 10 11 13 14 15 16 18 20 20 20 19 18 16 14 12 11 17 25 35 40 35 23 11 4 4 8 12 13 13 13 15 16 17 16 15 19 23 22 20 21 23 22 20 20 28 42 52 46 29 20 27 35 38 36 30 25 26 32 38 42 45 51 58 60 61 64 66 71 74 72 71 76 72 59 38 26 23 27 36 42 39 31 25 24 23 12 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 2 2 3 4 4 4 4 5 4 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 2 3 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 16 9 7 8 8 6 4 1 0 0 0 0 5 17 22 18 11 3 0 0 0 0 5 19 43 72 86 78 61 54 47 31 16 10 7 6 4 4 3 1 0 0 0 2 7 16 26 36 46 50 49 46 45 43 40 38 37 37 41 50 67 77 81 77 75 72 70 71 72 72 69 65 54 50 44 54 62 65 64 62 60 58 57 57 60 61 60 61 63 62 59 54 48 42 35 28 23 25 32 34 40 48 57 65 71 77 82 nan nan nan nan nan nan nan nan nan nan nan nan nan
17 17 18 20 22 22 21 19 16 15 15 15 14 12 11 10 9 9 9 8 8 9 10 11 10 9 9 10 10 11 11 12 15 19 21 22 22 21 20 18 15 11 9 9 14 19 36 38 26 12 5 6 12 16 17 17 19 20 21 21 19 16 16 20 22 21 21 27 31 32 32 33 39 43 34 18 10 12 18 23 27 26 24 25 29 31 32 35 44 55 60 62 67 74 82 84 77 73 76 70 59 45 36 36 42 51 52 43 32 27 24 18 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 5 5 5 5 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 15 10 8 8 8 6 3 0 0 0 0 0 11 29 33 25 14 4 0 0 0 1 10 36 66 85 86 72 59 54 49 35 19 11 6 3 3 4 4 3 1 0 0 0 2 7 13 22 27 37 43 44 42 40 38 35 31 30 31 35 43 51 57 63 63 59 58 65 70 71 69 64 49 44 40 44 49 52 52 51 47 45 45 47 54 56 54 55 56 56 56 54 51 45 36 28 24 21 21 20 23 30 38 45 54 62 68 nan nan nan nan nan nan nan nan nan nan nan nan nan
16 16 18 20 22 22 20 17 14 12 11 11 11 10 10 10 10 10 10 9 9 10 12 13 12 9 10 11 12 12 11 11 13 17 20 22 22 23 22 19 15 13 11 10 11 12 21 40 32 19 11 14 19 22 23 22 22 23 23 22 21 18 16 17 20 21 20 26 35 40 37 31 29 31 29 20 10 7 9 14 19 22 23 23 23 25 26 30 40 52 60 62 65 74 82 81 76 76 75 69 62 55 51 52 59 64 63 51 37 27 21 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 4 5 6 6 5 4 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 1 3 4 4 4 3 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 11 14 11 9 8 8 6 3 0 0 0 0 0 15 35 42 31 16 4 0 0 0 4 27 58 76 80 73 61 52 50 48 34 18 11 6 2 1 3 4 4 4 2 0 0 0 3 6 13 19 23 32 37 38 36 33 30 26 26 26 28 30 36 43 48 50 49 49 53 57 61 60 54 46 41 38 39 40 40 39 36 29 33 36 39 47 54 57 57 58 58 57 55 51 39 34 27 22 18 14 11 10 12 20 27 36 46 53 nan nan nan nan nan nan nan nan nan nan nan nan nan
14 15 17 19 20 19 16 14 12 10 10 10 10 11 11 12 12 12 13 12 11 11 12 12 12 11 13 16 17 16 14 13 13 15 18 21 22 23 22 20 17 15 13 12 11 10 14 30 37 30 22 22 25 27 26 25 25 24 23 23 22 19 15 14 17 18 17 20 29 34 31 24 22 28 34 23 11 5 5 12 18 21 22 22 21 23 24 30 41 51 57 60 60 61 63 66 66 67 68 70 67 62 62 65 68 70 67 56 44 27 20 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 4 4 5 5 5 6 5 4 4 5 4 2 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 16 13 9 8 7 5 2 0 0 0 0 0 12 33 46 39 23 8 0 0 3 17 50 69 68 60 51 44 41 41 40 28 16 11 6 1 0 3 5 6 5 4 2 1 1 3 4 7 10 17 23 27 28 26 22 15 17 19 22 24 26 30 37 44 47 47 46 46 46 45 45 44 40 36 34 33 32 30 27 24 24 25 28 34 40 46 52 57 59 56 55 53 46 39 33 26 21 17 14 12 11 7 9 13 21 30 40 42 nan nan nan nan nan nan nan nan nan nan nan nan
14 14 15 16 16 14 12 11 10 10 10 11 13 15 16 17 17 17 17 17 14 13 12 12 13 16 19 20 22 21 19 17 16 16 16 19 20 21 20 19 19 18 14 11 9 8 10 18 29 32 29 28 29 28 27 26 26 25 23 23 22 19 11 9 11 13 14 15 20 26 26 22 22 27 29 18 8 2 3 9 16 19 20 20 19 22 25 34 44 50 52 53 53 49 47 51 56 60 61 64 61 57 58 65 69 69 67 59 40 25 19 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 5 5 4 5 5 5 6 6 6 6 6 5 3 2 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 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 6 16 21 16 8 6 5 3 0 0 0 0 0 0 6 23 41 44 37 24 11 7 17 40 62 61 49 39 34 34 36 36 31 23 15 11 5 1 1 3 5 6 6 6 5 4 3 4 4 5 6 10 15 18 18 16 11 6 6 9 14 19 22 26 32 39 44 46 45 43 43 43 44 43 39 34 30 27 25 20 18 16 16 18 22 26 32 37 43 47 52 50 50 48 41 35 30 24 20 16 13 12 13 12 11 8 9 15 24 30 nan nan nan nan nan nan nan nan nan nan nan nan
13 13 14 14 13 11 11 10 10 11 13 16 18 20 21 21 20 19 20 20 18 17 16 16 20 22 23 23 24 24 23 21 20 18 17 18 19 18 16 17 18 18 18 12 8 8 8 12 19 26 31 32 31 29 28 27 26 26 24 23 22 18 9 5 6 10 12 12 18 24 27 24 21 20 15 9 2 0 2 7 13 16 17 19 21 24 28 39 45 46 44 44 42 40 38 43 51 59 58 54 50 52 59 62 62 63 59 42 23 18 15 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 0 0 1 3 5 6 6 4 5 4 4 5 6 6 6 6 6 6 5 4 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 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 1 9 20 26 19 7 5 4 1 0 0 0 0 0 0 2 10 25 34 38 38 38 40 50 59 56 42 31 29 32 36 37 33 26 18 13 10 7 4 3 4 5 6 6 7 6 6 4 4 4 4 4 5 6 8 9 6 2 1 1 3 5 9 13 18 24 30 36 41 42 42 42 43 44 43 39 34 29 25 21 15 13 12 11 9 10 13 16 21 28 33 37 40 42 44 40 34 30 26 22 18 14 12 12 13 14 11 8 8 11 17 nan nan nan nan nan nan nan nan nan nan nan nan
14 15 16 15 14 12 11 10 10 12 15 18 20 22 23 23 21 20 20 20 20 20 20 21 24 25 26 26 26 27 26 25 24 22 20 19 19 18 16 16 16 17 18 17 12 9 11 12 16 21 28 33 33 30 29 28 27 26 25 23 20 14 6 3 4 9 12 13 23 32 32 24 18 15 10 4 0 0 0 5 10 13 15 18 22 26 31 39 43 42 37 34 33 34 36 42 50 57 59 58 58 58 55 50 46 45 40 25 13 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 3 2 1 0 0 1 3 5 7 7 7 7 6 4 5 6 5 5 6 6 6 6 6 6 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 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 4 14 25 26 14 5 3 2 0 0 1 2 2 1 0 0 2 8 13 19 26 42 65 70 58 40 27 22 23 27 31 30 25 19 12 8 6 6 8 8 10 9 10 8 7 7 6 5 4 2 2 3 4 4 4 3 1 0 0 0 0 1 2 3 5 10 16 22 27 32 35 37 40 42 41 36 30 26 21 16 12 9 7 4 3 3 4 6 7 11 16 21 26 31 35 36 33 31 29 24 20 16 13 10 9 9 10 9 8 7 8 nan nan nan nan nan nan nan nan nan nan nan nan
18 19 19 19 18 17 15 14 14 13 14 16 18 20 22 22 21 20 19 20 21 21 22 23 23 25 27 28 29 29 29 28 27 26 24 22 21 19 18 17 18 20 20 20 19 16 15 18 21 25 30 34 34 31 29 28 28 27 26 23 17 9 4 3 4 8 12 16 31 40 35 24 17 13 8 3 0 0 0 4 9 12 13 15 18 24 31 38 41 38 32 28 28 30 35 42 50 54 55 54 51 45 37 30 24 21 18 11 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 2 4 4 4 4 4 3 2 0 0 1 3 5 6 7 8 8 7 6 6 6 6 7 6 6 6 7 7 7 7 7 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 23 17 7 2 0 0 1 2 5 7 7 3 0 0 0 1 2 3 8 19 32 39 33 21 14 12 10 11 17 17 14 11 7 5 4 6 10 14 15 15 12 8 7 7 6 5 4 2 0 1 3 3 3 1 0 0 0 0 0 0 0 0 0 1 3 6 10 15 20 25 31 34 33 27 21 16 12 9 6 4 2 0 0 0 1 3 4 5 6 9 14 19 23 26 26 25 22 19 17 16 13 9 5 5 5 6 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan
23 23 21 21 20 20 19 19 19 18 18 17 17 18 19 19 19 19 19 21 22 22 22 22 23 24 26 28 30 31 31 30 29 29 28 26 24 22 19 18 19 22 23 23 21 20 21 24 27 29 31 35 35 32 29 28 29 27 25 22 15 7 4 3 5 9 14 22 37 44 36 20 15 13 10 6 2 0 1 4 9 11 11 12 14 22 31 38 39 35 30 26 27 29 35 43 48 48 45 40 34 27 21 15 10 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 2 0 0 0 0 0 1 2 4 5 5 5 5 5 4 3 1 0 1 3 4 5 6 7 8 7 7 7 7 8 9 9 8 7 6 6 7 7 7 7 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 21 11 3 0 0 0 3 10 19 20 11 7 2 0 0 0 0 0 0 6 13 16 13 8 5 2 1 3 5 5 6 6 5 5 5 6 10 15 16 16 10 7 6 6 5 5 4 3 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 15 19 18 14 9 5 3 3 2 1 0 0 0 0 0 1 1 1 1 3 6 7 9 8 11 12 11 11 10 10 8 4 2 1 0 2 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan
25 24 21 19 18 19 19 20 20 21 22 21 20 19 18 18 18 18 18 20 21 22 22 22 22 22 23 25 28 31 32 32 32 31 30 30 28 26 22 18 17 18 22 25 26 26 26 28 30 30 28 31 35 35 31 27 27 26 23 20 14 5 4 5 7 12 18 28 38 43 36 22 17 16 14 10 4 1 1 4 7 8 8 8 11 24 33 37 36 32 30 28 30 32 38 41 41 40 38 33 25 17 9 5 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 5 5 5 4 2 1 0 0 1 3 4 5 5 5 5 5 5 5 4 2 1 1 2 3 4 5 6 7 7 7 7 7 7 8 9 10 9 7 6 6 7 7 7 7 6 5 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 2 4 5 5 5 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 1 7 14 13 6 1 0 0 2 8 19 27 23 12 6 2 0 0 0 0 0 0 1 3 6 6 3 1 0 1 2 3 4 5 5 6 5 5 6 7 11 13 12 9 6 6 4 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 4 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 2 3 3 2 2 1 0 0 0 0 0 1 1 2 4 nan nan nan nan nan nan nan nan nan nan nan
23 22 18 16 14 14 15 16 17 18 19 20 21 21 21 21 20 19 18 18 19 19 19 19 20 21 22 22 24 27 30 32 32 31 32 31 30 29 26 22 18 15 16 21 26 29 29 30 30 29 26 25 28 33 32 26 21 19 18 16 12 6 5 7 10 14 22 30 39 43 42 33 25 24 30 32 20 8 2 1 1 3 3 4 12 27 32 32 31 31 31 32 34 35 37 33 31 34 32 23 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 6 6 4 3 2 2 3 4 6 7 7 6 5 6 6 6 6 4 2 1 1 2 3 4 7 7 9 8 8 7 6 7 8 9 9 8 6 6 6 7 7 7 6 6 4 3 2 2 2 3 4 3 3 1 0 0 0 0 0 2 4 5 5 5 4 3 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 1 4 7 5 1 0 0 1 5 14 24 26 13 6 2 1 0 0 0 0 0 0 0 0 2 4 3 2 2 3 4 4 5 6 6 6 4 4 4 5 6 8 8 7 6 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 nan nan nan nan nan nan nan nan nan nan nan
20 19 17 15 13 12 13 13 13 14 15 16 18 20 22 22 22 21 20 19 19 19 18 18 18 20 21 21 21 22 26 29 31 32 32 31 30 29 27 26 23 18 13 13 17 23 26 29 30 29 28 24 21 24 29 26 16 11 11 11 10 7 7 9 11 14 22 28 36 44 47 46 42 43 49 51 41 23 9 3 0 0 0 3 13 23 25 24 27 30 33 35 35 33 29 25 28 34 26 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 3 6 7 7 8 6 4 3 2 3 5 6 8 8 6 6 6 6 6 7 6 4 2 1 1 2 4 6 7 10 10 8 7 6 6 7 8 9 9 9 6 5 6 6 6 6 6 5 4 4 3 4 5 6 5 5 3 2 1 0 0 0 1 3 5 5 4 4 3 2 2 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 1 1 0 0 0 1 6 15 26 19 7 3 0 0 0 0 0 0 0 0 0 1 4 5 4 3 3 4 4 5 5 6 6 5 4 2 2 3 5 6 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 5 7 9 9 8 6 4 2 2 1 0 0 0 1 1 1 2 1 1 1 1 0 1 nan nan nan nan nan nan nan nan nan nan nan
20 21 19 18 16 15 14 13 12 11 12 13 15 17 18 19 20 20 20 21 21 21 21 21 21 22 22 21 20 21 23 25 28 30 30 29 29 28 26 26 25 21 14 9 9 14 21 25 28 29 30 26 18 16 22 24 16 6 5 7 8 8 9 10 11 13 18 24 29 37 46 50 49 50 52 55 53 39 22 11 5 4 4 6 10 12 14 18 26 33 37 38 35 28 24 27 33 35 25 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 3 3 6 7 4 3 2 3 4 5 6 8 8 7 6 6 7 8 7 4 2 1 1 2 4 5 7 11 10 9 7 6 6 7 7 8 10 10 9 6 4 4 4 4 4 4 5 5 5 5 6 6 5 5 3 2 1 0 0 1 2 3 5 4 3 3 3 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 20 11 5 1 0 0 0 0 0 1 1 0 0 3 6 6 4 2 1 2 3 4 5 5 5 5 4 2 2 2 4 4 4 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 6 7 9 10 12 13 13 13 12 10 8 6 5 5 5 4 5 6 8 9 7 6 4 3 2 1 nan nan nan nan nan nan nan nan nan nan
25 24 22 20 19 17 15 13 12 11 11 11 12 14 15 16 17 18 19 20 20 21 22 23 24 25 24 22 20 20 21 22 24 26 25 25 25 26 25 24 24 22 18 12 9 9 13 19 24 27 30 29 22 14 17 24 19 8 3 5 7 8 9 10 12 13 15 19 24 28 36 42 41 40 44 48 49 44 35 29 23 20 16 13 10 10 14 22 33 40 43 42 38 32 32 37 39 31 19 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 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 1 0 0 1 1 4 1 1 4 4 3 4 6 8 8 6 6 7 9 9 6 3 2 2 3 3 4 7 10 10 9 7 6 6 6 7 9 10 10 10 7 4 4 4 4 3 4 4 4 5 4 4 3 4 3 1 0 0 0 0 1 2 3 4 4 3 3 3 3 3 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 2 6 11 17 15 7 3 1 0 0 0 0 2 5 4 0 2 5 7 6 3 0 0 1 3 4 4 4 4 4 4 3 2 2 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 2 3 5 6 7 8 9 9 10 11 12 12 11 10 10 10 10 9 8 9 10 11 11 11 8 5 4 3 nan nan nan nan nan nan nan nan nan nan
27 25 22 20 19 17 14 13 12 12 11 11 12 14 14 15 17 18 18 18 18 18 19 20 21 23 24 24 21 18 18 19 21 23 22 21 21 23 25 24 23 21 18 14 12 10 10 12 17 23 27 30 27 18 17 23 22 14 6 4 6 7 7 9 12 14 16 17 20 24 27 31 28 25 32 38 40 38 38 42 47 46 40 34 28 26 29 36 42 45 46 45 45 46 46 40 30 19 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 14 14 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 1 3 1 1 4 4 4 3 4 6 8 7 7 7 8 9 7 5 3 3 3 4 5 6 9 10 8 7 5 5 6 7 9 11 10 9 7 6 5 4 4 4 3 3 3 4 4 2 2 2 2 1 0 0 0 0 1 2 3 3 3 3 3 3 3 4 4 3 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 16 16 10 4 2 0 0 0 0 1 4 8 6 3 4 6 7 6 2 0 1 2 3 4 4 4 4 4 3 2 2 1 1 2 2 2 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 1 2 2 4 4 3 4 3 4 6 7 7 6 6 7 6 5 4 4 4 5 6 6 4 2 1 nan nan nan nan nan nan nan nan nan nan
24 22 20 18 17 14 13 12 12 12 12 12 13 14 16 17 18 19 18 16 14 14 15 16 17 19 22 23 22 19 17 17 20 23 24 21 19 19 23 26 24 21 17 14 13 12 10 8 10 16 22 26 28 24 18 22 25 19 10 5 5 6 6 8 12 15 17 18 19 22 25 26 23 20 25 32 33 30 30 36 46 51 55 56 53 49 47 46 45 43 43 47 55 61 51 23 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 3 9 13 16 19 15 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 3 5 8 8 8 7 8 8 8 7 5 3 4 5 6 6 7 8 8 6 5 5 5 6 9 11 9 8 7 6 6 6 5 5 4 3 3 2 2 2 3 2 3 2 1 0 0 0 1 2 2 3 3 3 3 3 4 4 4 4 3 2 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 17 16 12 6 2 0 0 0 0 0 0 4 6 4 3 3 5 5 4 2 1 2 3 4 3 3 3 3 3 2 1 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 0 1 1 0 0 0 1 1 1 0 0 nan nan nan nan nan nan nan nan nan nan
20 18 17 16 15 13 12 11 12 12 12 12 13 14 15 16 18 19 18 14 12 11 12 13 16 18 20 21 21 21 19 17 18 21 22 20 19 17 19 25 28 26 20 15 14 13 12 9 8 10 15 21 25 26 22 21 25 24 16 8 5 5 6 8 12 16 18 18 19 22 25 26 25 24 27 33 34 28 22 21 26 35 46 56 61 58 53 48 44 41 42 51 63 59 30 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 3 1 4 9 10 13 17 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 5 8 8 8 8 8 9 9 7 6 4 5 6 7 7 6 6 6 6 6 5 5 6 8 10 9 8 7 7 7 7 6 6 6 4 3 2 2 2 2 2 3 3 2 2 1 1 1 1 2 3 3 3 3 3 4 4 4 4 3 3 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 19 17 12 7 2 0 0 0 0 0 0 0 2 3 2 1 1 2 3 2 1 2 4 3 3 2 2 2 1 1 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 3 2 0 1 1 0 0 0 0 0 nan nan nan nan nan nan nan nan nan
16 15 14 13 12 10 10 10 10 11 11 11 12 13 14 14 16 18 19 16 13 12 13 16 19 21 23 23 22 22 21 19 18 19 19 19 19 18 18 22 28 30 26 19 15 13 13 11 9 7 8 14 20 24 25 22 23 26 22 13 6 4 6 8 13 16 19 18 18 20 24 26 27 28 33 38 40 34 24 17 16 20 28 40 49 53 52 49 43 37 38 51 60 48 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 3 2 3 3 9 13 10 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 1 3 3 4 5 7 8 9 8 8 8 8 7 6 6 6 7 7 7 7 5 5 6 6 6 5 6 7 9 9 8 8 8 8 7 7 7 8 7 4 3 1 1 1 2 3 4 4 3 2 1 1 1 2 3 3 3 3 3 4 4 3 3 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 1 5 13 16 11 6 3 1 0 0 0 0 0 0 0 0 1 0 0 0 1 2 2 3 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 5 6 7 8 8 9 10 11 9 7 6 4 2 1 2 2 nan nan nan nan nan nan nan nan nan
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22 22 21 23 25 26 24 20 18 17 17 17 16 15 14 14 14 15 17 21 23 23 24 25 26 26 26 27 28 28 26 23 20 18 16 18 20 21 21 19 18 20 25 27 28 22 16 13 12 11 9 6 6 12 20 24 24 22 24 28 26 15 8 12 17 19 20 20 19 17 15 14 16 18 19 24 33 40 38 31 23 19 16 18 27 40 50 58 60 59 58 62 53 27 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 10 8 6 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 9 10 12 12 9 8 7 6 6 7 8 8 7 6 5 5 4 3 4 6 7 7 7 8 10 10 10 9 9 9 9 9 8 5 3 1 0 1 3 4 4 4 4 2 1 1 1 1 2 3 3 3 3 3 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 1 4 8 8 6 3 0 0 0 0 0 0 2 5 5 3 1 0 0 0 0 0 2 2 3 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 1 2 4 4 6 6 6 6 7 9 11 12 13 14 14 14 13 12 nan nan nan nan nan nan nan nan
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