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 4 5 4 4 4 4 5 5 4 5 6 6 3 2 3 5 8 8 7 6 5 5 5 5 6 7 8 9 10 10 10 10 10 10 10 9 8 7 6 5 5 4 4 3 3 4 5 5 4 3 2 2 3 4 3 3 4 4 3 2 2 3 3 4 4 5 4 4 3 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 5 7 8 8 7 5 5 5 4 4 4 5 6 6 6 7 7 6 5 5 4 3 5 9 13 12 8 5 7 10 5 -5 6 8 3 1 4 1 8 13 8 4 3 5 5 5 8 1 1 9 11 2 4 7 4 1 3 6 2 -3 1 11 15 7 2 7 10 7 6 6 4 6 4 -1 -2 -1 2 3 6 9 5 1 2 3 2 2 2 3 5 5 4 8 25 42 34 15 8 6 4 3 3 3 3 3 3 4 4 4 5 5 5 5 4 5 4 4 4 4 5 5 5 6 6 8 9 12 16 19 18 15 12 8 5 3 2 4 4 4 4 2 -3 -4 1 5 5 5 4 5 6 6 5 4 5 5 4 4 7 7 5 5 5 4 5 12 15 8 5 5 5 4 4 4 4 4 3 3 2 1 1 1 1 1 1 1 2 3 3 3 2 1 1 2 3 4 4 4 4 4 6 7 9 10 11 12 12 9 6 4 4 5 5 3 3 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 6 6 7 6 6 5 4 4 4 8 17 29 21 8 5 8 6 0 1 -3 -5 -11 -5 2 -2 -1 4 3 3 2 -0 -4 -12 -15 -11 -7 -8 -6 -2 3 5 5 5 6 8 11 17 20 19 12 7 8 8 8 10 13 16 18 19 20 18 16 17 17 15 13 11 11 11 10 10 9 7 6 6 5 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 3 3 3 3 3 4 5 5 5 5 5 6 5 4 2 3 5 6 6 6 6 5 5 4 4 4 5 6 7 8 9 9 9 10 11 11 10 8 7 6 5 4 4 4 3 4 4 4 4 3 2 3 4 4 4 3 4 4 4 3 2 2 3 3 3 4 5 4 4 3 3 4 4 4 4 3 3 2 2 3 3 3 3 3 3 4 4 4 4 3 4 3 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 5 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 8 8 7 6 5 4 4 5 5 5 5 6 6 6 6 6 5 5 3 3 6 14 18 18 12 5 11 22 7 -1 9 8 6 2 4 1 3 6 9 7 3 0 -1 6 8 4 3 7 6 0 7 10 6 3 4 8 10 3 -2 4 14 14 10 9 7 10 12 9 8 8 6 3 2 0 -3 -1 6 11 7 3 3 2 3 4 5 7 8 8 12 23 35 36 21 9 7 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 7 9 11 15 18 18 15 11 7 4 2 3 4 4 4 3 0 -4 -5 0 6 5 5 5 4 4 4 2 3 4 5 5 5 7 6 4 5 5 5 5 10 12 7 5 5 5 4 3 4 4 3 3 2 2 2 2 1 1 1 2 2 2 3 4 4 3 2 2 3 3 4 4 4 4 5 6 8 9 11 12 13 12 10 7 5 4 5 4 3 3 4 5 5 4 4 4 4 4 4 5 5 6 6 5 5 4 4 5 5 6 7 6 6 5 5 4 4 9 18 26 25 18 13 7 6 11 8 -2 -1 1 2 1 3 4 5 7 8 8 4 0 -1 -2 -1 -2 -3 -3 1 4 5 5 5 5 5 8 10 12 9 5 5 5 5 6 8 9 12 14 14 13 12 11 10 9 8 9 11 11 10 9 7 6 6 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 nan nan nan nan 4 3 2 2 2 2 3 4 5 4 4 4 5 6 6 4 3 3 3 4 5 6 6 5 5 4 3 3 4 5 6 7 6 5 7 8 9 9 7 6 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 4 3 3 2 3 3 3 4 4 4 4 3 3 3 4 4 3 3 2 2 2 3 2 2 3 3 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 8 8 8 6 5 4 4 5 5 5 5 6 5 6 6 6 5 4 2 4 9 16 20 22 12 3 10 21 7 4 9 5 4 3 3 -1 -2 0 7 8 6 0 -2 6 10 6 1 3 2 4 12 12 10 8 5 9 13 9 7 8 8 10 12 9 6 9 8 6 9 11 10 6 4 -1 -4 0 5 8 8 5 3 2 4 6 7 8 9 12 23 37 37 22 10 6 6 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 4 5 5 4 3 3 4 4 4 5 5 7 8 11 14 18 18 15 10 6 3 3 4 4 4 3 2 -2 -7 -9 0 7 7 6 5 3 3 3 4 5 4 5 6 6 6 5 4 5 5 5 4 7 8 3 4 5 2 1 3 4 3 3 2 2 2 2 2 1 1 1 2 2 3 5 5 5 4 3 3 4 4 4 5 5 5 5 7 8 9 10 11 12 12 11 8 5 5 5 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 4 4 4 4 5 7 7 7 7 6 5 4 4 6 15 21 23 18 8 6 6 5 2 3 4 4 3 4 4 6 6 7 10 8 5 6 5 6 7 5 3 2 3 5 4 5 4 4 5 5 6 6 5 5 5 4 5 6 6 7 9 9 9 8 6 6 6 7 8 9 10 10 9 7 5 5 6 7 7 6 6 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 2 2 2 2 2 3 4 4 3 3 4 5 6 5 4 3 2 2 4 5 5 5 5 4 4 3 3 4 5 5 4 4 4 4 5 5 5 4 5 5 5 5 6 5 5 4 3 3 3 2 2 2 4 4 5 5 6 7 6 5 4 3 3 3 3 4 4 4 4 3 3 3 4 4 4 3 3 2 2 2 2 3 3 3 3 4 3 3 3 3 4 4 4 3 3 4 3 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 5 5 5 6 6 6 6 6 6 7 8 7 6 6 4 4 5 5 5 5 5 5 5 6 6 5 4 3 4 11 14 15 18 11 2 4 11 6 3 7 7 0 5 6 -2 -4 1 8 13 10 3 1 8 12 5 -0 -1 1 8 12 10 10 11 8 8 10 9 11 14 12 9 8 8 10 11 3 -0 8 13 13 9 3 -4 -4 1 5 7 7 6 4 4 5 6 7 8 13 23 36 39 26 11 6 6 5 4 3 3 4 3 3 2 3 3 4 5 5 5 5 5 4 5 4 4 3 3 4 4 4 4 5 6 8 10 13 16 18 15 10 6 4 3 4 4 3 2 0 -4 -8 -6 3 8 7 6 4 4 4 4 6 6 5 5 6 6 5 5 5 5 5 5 4 6 5 1 2 1 -1 1 3 4 3 3 2 2 2 2 2 2 2 2 2 4 5 6 7 6 5 4 4 4 4 4 4 5 5 6 7 8 8 8 9 11 11 11 8 6 6 5 3 2 3 3 4 4 4 4 4 4 4 3 4 4 5 5 5 5 4 5 4 4 4 5 6 7 6 6 4 3 3 2 3 8 16 18 12 7 5 3 2 3 6 5 3 4 5 6 6 6 7 7 7 4 2 5 9 8 7 6 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 6 7 7 6 5 5 4 5 6 8 8 8 8 8 7 5 5 5 7 7 6 6 7 7 7 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 3 3 2 2 2 2 2 3 3 3 2 3 3 4 5 6 5 3 2 2 3 3 4 5 5 5 4 4 4 4 5 5 6 5 4 3 3 3 3 3 3 4 5 6 6 6 6 5 5 4 3 2 2 2 2 3 4 5 6 6 7 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 3 3 4 3 3 3 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 5 5 6 5 5 6 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 6 4 4 5 5 5 5 6 5 5 6 6 5 4 3 4 8 11 10 12 13 7 5 6 4 1 3 5 0 9 14 4 -2 1 8 12 7 -0 -2 5 9 5 1 -1 2 8 8 3 5 8 8 7 5 5 8 10 14 15 9 7 9 11 6 1 6 9 9 10 4 1 4 4 4 7 7 7 5 4 4 4 5 9 20 34 37 26 13 6 6 5 4 3 3 3 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 7 9 12 15 16 14 10 6 4 3 3 3 2 1 -0 -3 -3 3 6 7 7 5 4 4 4 5 6 6 5 6 6 6 6 5 6 5 5 5 5 5 4 4 2 -0 4 8 6 4 3 2 2 2 2 2 2 2 3 2 3 5 6 7 6 6 5 4 4 4 4 4 4 5 5 6 7 7 7 7 8 10 11 10 8 7 6 5 2 3 3 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 4 4 4 4 3 3 3 4 3 2 1 -1 -1 -2 -3 -1 2 8 10 7 5 4 5 7 9 7 4 4 5 8 9 10 8 5 7 6 5 6 7 6 7 6 6 4 4 3 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 6 5 5 4 4 3 4 6 7 8 7 7 7 6 5 5 6 6 5 6 6 6 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 4 4 3 3 2 2 2 2 2 2 2 3 2 2 2 3 5 6 5 4 3 2 2 3 4 4 4 4 4 5 5 5 6 7 6 6 5 4 4 3 2 3 3 4 4 5 5 5 6 6 5 4 3 2 2 2 2 3 3 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 7 7 5 4 4 5 5 6 6 5 5 5 5 5 4 3 3 4 6 8 11 12 10 10 5 2 4 4 1 1 5 9 9 5 2 8 9 3 1 1 -0 1 4 4 4 5 4 3 1 -1 2 7 7 0 -2 3 6 9 10 7 6 6 5 7 5 2 3 6 8 8 10 10 6 6 7 6 7 6 5 3 2 4 10 23 30 23 12 6 5 5 4 4 3 3 3 4 4 3 3 3 3 4 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 8 10 12 13 12 9 5 4 4 3 2 2 1 1 0 2 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 5 6 4 4 4 3 4 8 11 7 3 3 3 2 2 3 3 3 3 3 3 3 5 6 6 5 4 4 4 5 5 5 4 4 5 5 6 6 7 6 6 7 8 10 10 9 8 6 4 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 0 1 1 -1 -3 -6 -6 -7 -9 -6 -3 2 6 6 5 5 6 9 11 9 3 3 9 9 8 15 12 6 6 7 8 8 7 6 6 6 6 5 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 4 5 7 7 7 7 6 6 5 5 5 5 5 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 4 4 4 3 2 2 2 2 2 2 2 1 2 3 4 5 5 5 5 4 3 2 2 2 3 3 4 4 5 6 6 6 6 6 5 5 5 5 4 3 3 3 3 4 4 4 5 5 5 4 4 3 3 2 2 3 2 3 4 4 4 5 5 5 4 5 5 5 5 5 5 4 4 4 3 4 3 3 3 4 4 3 3 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 6 6 5 6 6 6 6 5 5 5 5 4 4 4 5 5 5 4 3 3 4 5 5 5 6 6 7 6 6 7 6 6 4 4 5 5 6 6 6 6 5 5 5 4 4 3 3 5 8 9 8 9 12 7 3 4 1 2 5 3 2 7 9 4 9 9 1 5 8 1 -1 5 7 4 2 2 -0 2 1 1 8 7 -3 -7 1 3 5 1 3 4 6 2 -3 -0 1 4 5 1 7 10 9 7 5 5 5 4 7 6 4 3 5 12 22 21 11 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 8 10 11 10 8 6 4 4 4 3 2 3 4 3 2 6 6 5 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 3 2 3 3 4 4 4 4 3 3 3 3 3 4 4 4 3 4 4 4 5 5 5 4 5 5 6 6 6 6 6 7 8 10 10 10 8 6 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 2 2 1 -0 -1 1 3 1 -2 -5 -5 -5 -6 -5 -1 2 4 6 6 4 4 7 8 7 6 3 5 6 8 13 12 8 6 6 7 8 8 7 6 6 6 5 4 2 1 2 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 6 5 5 5 5 5 4 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 5 5 4 4 4 3 3 2 2 2 1 2 2 3 3 4 5 6 6 6 4 3 2 3 3 2 3 3 5 6 6 6 5 4 4 5 6 6 5 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 5 5 6 6 4 4 4 5 6 6 6 5 5 5 5 4 4 3 3 6 10 10 8 9 10 7 6 8 6 4 4 3 2 6 10 8 10 7 4 7 8 5 4 7 6 2 0 2 2 3 5 6 10 4 -6 -3 5 7 6 0 -0 1 5 1 -4 -0 2 5 3 -3 1 4 4 4 5 8 6 4 4 4 5 6 8 18 24 16 7 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 5 5 7 8 9 9 7 5 5 5 4 4 4 5 6 5 3 5 8 8 7 6 5 5 5 5 6 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 5 4 5 5 4 4 3 3 4 4 4 5 5 4 3 2 2 2 2 2 3 3 3 4 4 5 5 5 5 4 5 5 6 6 6 6 6 7 9 11 10 8 5 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 2 1 1 0 0 0 3 7 6 3 2 1 2 1 0 3 4 4 4 6 6 4 6 5 6 9 7 0 -1 5 8 8 6 5 6 7 7 8 7 7 7 7 7 6 2 -1 -0 2 4 4 3 4 3 3 4 5 6 6 6 6 5 5 5 6 6 6 6 6 6 7 7 6 5 6 6 5 5 5 5 6 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 4 5 4 4 4 4 3 3 3 2 2 2 2 2 2 3 4 5 5 7 6 5 4 4 3 2 2 3 4 5 6 6 4 4 4 5 5 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 3 3 3 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 5 5 5 5 5 4 5 5 6 6 6 5 5 5 5 5 4 4 5 6 6 6 5 5 5 5 5 4 3 2 4 8 11 11 10 9 8 9 10 9 7 8 7 3 3 6 10 11 6 8 6 4 8 6 7 7 7 5 3 3 4 7 13 13 -1 -7 2 8 9 8 6 -1 -1 2 1 -1 3 8 10 6 3 1 3 0 1 7 9 5 3 2 3 5 7 13 22 21 11 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 6 7 8 7 7 6 6 5 5 6 6 6 7 7 4 5 12 14 11 9 7 6 6 6 6 6 6 6 5 5 5 4 4 3 3 2 3 4 5 5 5 6 8 7 5 4 4 4 5 5 7 7 7 4 2 1 1 1 1 2 2 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 8 9 10 8 5 3 2 2 2 3 4 5 4 4 5 5 5 5 6 6 5 5 5 4 3 2 1 1 0 3 5 4 7 8 5 5 4 4 3 3 4 4 3 3 4 7 9 8 7 9 13 12 4 -1 1 4 5 5 6 6 6 8 8 8 8 7 7 8 8 7 3 1 2 3 4 3 3 3 3 3 4 5 6 7 7 7 6 5 6 6 6 5 6 7 8 8 7 6 6 6 5 5 6 6 6 6 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 4 5 5 4 4 4 4 4 4 4 3 2 2 2 2 2 2 3 3 4 6 6 6 5 5 4 4 3 3 4 4 5 5 4 3 4 4 4 5 5 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 5 5 6 6 7 6 6 7 6 6 6 5 5 5 5 6 6 5 5 5 4 5 5 4 5 5 5 6 7 6 6 5 5 5 4 3 2 2 3 7 10 9 7 8 9 6 4 8 11 11 9 5 2 3 7 8 10 7 5 9 9 9 10 11 8 3 3 5 7 11 10 -1 -4 4 6 7 10 9 -1 4 6 3 2 3 8 11 5 8 3 4 2 3 9 8 3 0 -0 2 6 9 15 21 15 7 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 4 4 4 4 5 5 6 6 6 7 6 6 6 6 6 7 7 7 7 6 6 11 15 16 16 13 11 10 9 8 8 7 7 5 5 3 2 2 3 2 0 1 4 7 6 5 6 9 9 6 4 4 5 6 7 9 9 7 4 1 0 1 1 2 2 3 3 4 4 5 4 4 5 5 5 5 5 5 5 6 6 6 5 7 8 8 8 6 4 2 1 1 1 3 4 4 5 5 5 5 5 5 5 5 4 4 2 2 2 1 0 0 6 13 9 5 6 6 5 4 4 3 4 6 5 5 5 6 10 13 13 12 12 14 16 12 4 3 4 5 5 5 6 7 8 8 9 9 9 9 9 10 11 9 7 6 3 3 3 3 3 3 3 4 4 5 7 8 7 7 6 5 5 6 6 6 7 8 9 8 7 6 5 6 5 5 5 6 7 5 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 5 6 6 5 5 4 4 4 4 4 3 3 3 2 2 1 1 2 2 3 4 6 6 6 5 5 5 5 4 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 4 3 3 4 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 5 4 4 4 4 4 5 5 5 6 5 5 5 5 5 4 4 5 5 6 6 7 7 7 7 8 8 8 7 6 5 5 5 5 6 5 5 4 4 5 5 5 5 6 6 7 7 7 6 6 6 5 4 3 3 2 1 2 5 6 5 6 6 4 3 7 7 6 7 4 1 -1 3 10 10 7 6 8 12 11 10 9 6 2 3 7 7 4 5 1 1 4 5 8 11 8 0 6 7 4 5 10 11 4 -2 2 5 8 8 9 10 9 5 2 3 4 6 8 14 18 11 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 7 7 7 7 7 6 5 5 9 14 17 18 18 17 15 13 13 13 11 9 7 4 3 3 4 2 1 4 8 10 8 7 8 12 14 9 5 5 5 7 9 10 10 8 4 0 -0 1 3 3 3 3 3 4 4 5 5 4 5 5 5 5 5 4 3 3 4 6 5 5 6 7 7 7 6 5 3 0 -1 -1 1 2 4 5 5 4 3 2 2 2 2 1 -0 -1 -0 -1 -1 -1 5 15 14 6 5 6 5 4 3 3 6 9 10 10 9 10 14 18 17 14 12 10 10 10 7 4 4 5 5 5 6 7 8 9 10 10 10 10 10 10 10 10 9 8 6 3 3 3 3 3 4 4 4 5 6 8 8 7 7 5 5 5 5 6 7 9 9 8 7 5 5 5 5 4 5 6 7 6 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 5 5 6 6 6 5 5 5 5 4 4 4 3 3 2 2 1 1 1 2 2 3 4 5 5 5 5 5 4 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 2 2 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 4 4 4 5 5 6 6 7 7 8 8 9 9 9 8 7 6 5 5 5 6 5 5 4 4 4 5 5 5 6 7 7 7 7 7 7 6 6 4 4 4 2 2 3 5 8 5 5 3 1 2 5 6 6 5 2 1 5 7 7 6 5 4 5 11 12 11 8 4 1 3 10 7 -2 1 3 3 4 4 6 9 4 0 2 5 6 6 11 9 3 0 1 5 8 9 9 9 9 7 4 7 10 10 11 17 16 8 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 5 7 9 12 15 16 17 17 18 17 14 13 11 8 7 6 5 5 6 11 14 13 11 11 14 18 16 8 5 5 6 7 9 11 11 7 3 0 1 3 5 5 4 4 4 4 4 4 5 5 5 5 4 4 5 4 0 -6 -6 1 5 5 5 6 6 7 7 7 7 5 2 -1 -2 -2 -1 0 2 2 2 0 -1 -2 -1 -1 -3 -5 -5 -5 -5 -2 5 13 12 5 4 6 5 5 5 5 8 12 12 12 12 10 11 15 15 10 7 7 6 5 4 4 5 5 5 5 5 7 7 9 10 11 12 11 11 10 9 8 6 6 6 5 4 4 3 3 3 3 4 4 6 7 7 7 7 6 5 4 5 6 6 8 8 8 7 6 5 4 4 4 5 6 7 7 5 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 2 3 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 2 2 2 1 2 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 2 3 2 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 4 4 5 5 5 6 6 7 7 8 9 10 10 10 9 8 7 5 5 6 6 5 4 4 4 4 4 4 5 5 7 7 7 7 6 6 6 5 4 4 4 3 2 4 10 10 6 4 -2 -0 6 7 3 8 9 10 6 9 8 5 8 7 5 4 8 12 14 11 5 3 5 11 9 -0 1 5 3 5 4 3 2 -3 -2 -1 6 7 4 7 6 6 7 7 4 2 7 8 8 8 6 5 8 11 14 19 21 14 6 4 3 3 4 4 3 4 4 4 4 4 4 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 6 5 5 4 4 3 3 4 5 6 8 10 11 12 11 11 11 11 12 12 11 11 14 17 17 15 13 13 16 18 18 11 6 6 6 6 7 9 12 11 7 2 0 2 4 5 5 5 5 4 4 5 4 5 5 5 4 4 3 4 6 3 -7 -16 -11 1 6 5 5 5 6 7 8 9 9 8 6 2 -2 -4 -6 -6 -4 -2 0 -2 -4 -4 -2 -1 -5 -7 -7 -6 -1 5 8 7 4 3 5 7 7 10 12 10 9 8 8 9 8 7 9 9 7 5 5 5 4 4 4 4 4 4 5 5 6 7 8 10 11 12 12 12 11 10 8 7 6 6 6 5 5 4 4 3 3 4 5 6 5 6 7 7 6 5 5 5 6 6 6 7 7 7 7 6 5 5 5 5 5 7 7 6 3 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 1 1 2 3 3 3 4 4 4 5 5 5 4 5 5 5 4 4 3 3 3 3 2 2 2 2 2 2 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 2 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 6 5 4 4 4 5 5 6 6 7 7 8 9 10 11 12 12 11 9 8 6 6 6 6 5 4 4 4 3 4 4 4 5 6 7 7 6 6 6 6 6 5 4 3 3 2 5 11 8 6 3 -4 3 7 7 -0 9 14 15 9 4 3 7 10 10 7 4 5 10 14 12 8 10 10 7 4 3 7 9 4 6 6 2 -1 -5 0 3 7 6 6 6 9 11 6 5 5 6 7 9 9 8 6 6 8 9 14 22 19 10 4 3 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 4 3 3 3 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 4 4 5 6 7 9 12 13 14 17 19 18 14 10 9 12 15 16 14 7 5 6 7 7 6 7 8 8 6 2 2 3 4 3 1 2 4 2 1 2 4 5 4 4 4 4 3 5 9 11 5 -6 -11 -4 4 5 5 5 5 6 7 8 10 10 11 10 6 2 -3 -10 -12 -8 -2 0 -1 -2 0 2 -0 -2 -3 -3 3 4 3 3 3 4 6 8 11 17 20 12 7 6 4 4 5 7 9 7 5 4 4 4 4 4 4 4 4 5 5 5 6 6 7 9 10 11 12 12 12 11 10 9 7 7 6 6 6 5 5 4 4 4 5 5 5 6 7 7 6 5 5 5 5 5 5 5 6 7 7 7 6 6 6 5 5 6 7 6 3 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 1 1 1 1 2 1 2 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 2 2 2 2 2 3 3 3 4 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 6 6 5 4 4 5 5 5 6 6 7 8 9 9 11 13 14 14 13 11 9 7 7 7 7 6 4 3 3 4 3 3 4 5 6 6 6 6 6 6 5 5 5 4 3 1 2 5 7 4 6 3 2 6 3 0 3 7 15 10 10 1 -0 4 7 8 10 8 4 4 9 10 10 13 12 5 -0 5 10 9 5 5 5 6 4 4 4 6 6 6 8 9 12 12 8 2 7 9 7 6 8 7 5 7 9 8 16 22 14 7 4 3 4 4 4 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 6 7 6 5 4 3 3 3 2 2 2 3 3 4 4 4 4 3 2 2 2 2 2 2 3 4 5 6 7 9 11 13 15 13 9 7 6 7 8 10 10 7 5 5 6 7 7 6 6 4 4 3 3 3 3 4 3 0 -2 1 1 -6 -7 -2 3 4 4 4 4 4 5 11 18 16 8 4 1 2 4 4 5 4 4 4 5 6 8 9 10 11 11 7 -1 -10 -11 -6 -1 1 2 2 3 3 3 4 3 4 4 3 3 4 4 4 6 11 18 21 15 9 8 5 4 6 9 8 5 4 4 4 4 3 4 4 4 5 5 5 5 5 6 7 8 9 10 10 11 11 11 11 9 9 8 7 7 7 7 7 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 5 6 7 7 7 7 6 5 5 6 7 7 5 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 1 1 1 1 1 1 1 2 2 2 3 3 4 4 4 4 4 5 5 5 5 4 5 4 4 3 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 4 3 4 4 4 3 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 4 4 5 5 6 6 7 7 8 9 10 12 15 18 18 17 14 11 8 7 7 7 5 4 3 3 4 4 4 4 5 6 6 5 6 6 5 5 4 5 5 3 1 2 4 3 2 5 4 8 6 4 -2 5 1 10 6 13 6 0 -1 4 6 7 9 7 3 3 7 9 11 8 5 5 6 6 6 7 4 4 7 8 8 7 6 6 8 10 9 10 9 10 5 7 7 5 6 7 5 5 7 10 13 22 21 10 4 3 4 4 3 3 3 3 4 4 4 4 4 3 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 6 6 6 6 5 5 5 4 3 2 2 2 2 3 3 4 4 3 3 3 3 2 2 2 3 3 4 5 6 7 8 9 9 9 7 6 5 5 6 6 7 6 5 5 5 6 6 6 6 5 3 2 1 1 3 4 4 6 6 3 2 5 -1 -11 -13 -5 2 3 3 3 4 5 9 18 21 11 7 6 4 4 4 4 3 2 1 -0 -0 1 2 2 4 8 11 7 -1 -6 -4 -1 1 1 1 2 4 4 5 5 5 5 5 6 7 7 6 6 5 6 12 11 8 7 6 6 8 10 7 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 8 9 10 10 10 10 10 10 9 9 8 8 8 8 8 7 6 5 5 6 6 5 6 6 6 5 5 5 5 4 3 3 4 4 5 6 7 7 6 5 4 5 7 7 6 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 3 3 3 2 2 2 2 1 1 1 1 2 2 2 3 3 3 4 4 5 5 5 5 5 5 4 3 2 2 1 1 2 2 2 2 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 4 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 4 5 5 5 6 6 7 7 8 9 9 11 14 18 23 24 21 17 13 10 8 8 7 5 3 3 3 4 5 4 4 5 6 6 5 5 5 4 4 4 5 6 3 2 3 4 5 5 2 3 5 4 6 -1 5 1 9 12 15 10 4 -2 4 4 2 7 7 2 2 6 10 11 5 2 5 4 1 3 5 5 7 7 4 6 8 6 5 7 9 8 6 6 7 7 7 4 2 5 6 5 5 6 9 17 25 19 8 4 3 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 3 3 2 3 3 3 3 3 4 4 4 5 5 6 6 6 7 6 5 5 6 6 6 6 6 5 5 5 5 6 6 6 6 5 4 2 1 1 2 3 4 7 10 11 8 10 10 1 -11 -14 -8 -2 -1 -0 1 4 6 10 15 10 3 4 3 3 2 1 0 -1 -2 -5 -8 -6 -3 -5 -7 -2 5 8 6 5 5 4 2 1 1 1 4 5 2 2 4 5 8 9 10 12 11 9 8 3 4 7 5 6 6 6 8 8 6 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 8 9 9 9 9 11 11 10 8 8 9 9 9 8 6 6 6 6 6 5 5 6 6 6 6 5 5 5 3 2 2 3 4 4 5 6 6 5 4 4 5 6 5 4 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 5 5 5 5 4 4 4 4 3 2 2 2 2 2 1 2 2 2 3 4 4 4 4 5 5 5 5 3 3 2 2 1 1 1 1 1 2 2 3 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 5 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 6 6 7 8 8 8 9 12 16 22 28 31 27 20 14 11 9 8 7 5 3 2 3 4 4 5 5 6 6 7 6 6 5 4 3 4 6 6 4 3 4 6 8 7 1 1 4 8 2 1 3 4 5 11 12 8 6 3 6 1 4 11 1 -3 2 5 8 10 7 2 4 3 1 -0 1 6 11 6 -2 1 6 7 5 6 8 9 5 3 4 7 6 2 1 5 6 5 5 5 8 18 24 16 6 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 5 5 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 2 2 1 1 2 4 6 8 8 10 11 7 1 -11 -16 -11 -10 -8 -6 -1 4 5 7 6 4 4 3 2 1 -1 -2 -4 -3 -4 -8 -9 -4 -3 -7 -7 -1 6 8 8 7 6 4 4 4 2 6 9 7 4 3 8 12 12 10 8 9 11 11 8 5 5 5 6 6 6 7 7 6 4 4 4 3 4 3 4 4 4 4 5 5 5 5 6 6 5 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 7 7 6 6 6 6 6 6 6 6 6 6 6 5 3 2 2 2 2 3 4 5 5 4 3 3 4 5 5 4 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 6 6 6 6 6 5 5 5 5 5 5 4 2 2 1 1 1 1 2 2 2 3 3 4 4 5 4 4 4 3 3 2 1 1 1 1 1 1 3 3 4 4 4 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 4 3 4 4 4 4 3 3 4 4 4 4 4 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 3 4 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 6 6 6 7 8 8 8 10 13 18 24 31 36 33 24 17 12 9 9 7 5 3 2 3 4 5 6 7 7 7 8 8 7 5 4 3 5 7 6 3 3 6 8 8 7 3 -0 6 13 7 10 -1 0 -4 8 7 2 4 8 9 4 8 11 -1 -6 -0 2 3 7 10 10 6 5 3 0 -0 5 9 4 -2 0 4 6 3 4 7 10 7 2 1 4 4 1 4 5 6 6 4 4 8 20 23 13 6 4 4 3 3 3 3 3 4 4 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 5 5 5 6 6 6 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 3 2 2 2 1 1 2 3 4 7 10 7 3 -0 -7 -9 -9 -10 -11 -11 -4 1 3 4 3 4 4 3 1 -1 0 -0 -1 -0 0 -2 -2 1 2 0 2 5 6 7 6 4 4 6 8 5 6 8 13 13 9 11 13 12 10 5 3 7 8 7 7 6 6 6 6 6 6 6 5 4 3 3 3 3 3 4 3 4 4 4 5 5 5 6 6 6 6 6 6 6 7 7 8 9 9 6 7 9 9 9 10 9 8 8 7 7 7 7 7 7 7 6 6 6 6 5 3 2 2 2 2 2 3 4 4 4 3 3 3 4 5 4 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 5 5 5 5 5 6 5 5 6 6 7 6 5 3 2 2 2 2 1 1 2 2 2 3 3 4 4 4 4 4 3 3 3 2 1 1 1 2 2 3 4 5 4 4 4 3 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 8 7 8 11 14 20 26 34 39 35 25 17 12 10 9 7 5 3 3 3 3 5 6 8 8 8 9 9 8 6 5 5 6 6 4 2 3 5 6 6 7 5 1 6 10 8 7 3 3 -5 2 3 1 -1 11 14 11 11 8 0 -2 -3 -2 0 2 7 13 8 4 5 3 3 5 5 3 3 3 5 4 2 3 5 6 6 6 1 1 1 3 10 7 5 6 4 3 8 22 23 11 5 4 4 3 3 3 3 4 4 4 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 6 6 5 5 5 5 5 6 6 6 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 5 4 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 3 3 2 2 1 1 2 3 7 14 13 7 4 2 1 3 0 -6 -13 -13 -8 -3 0 1 2 3 6 5 4 8 9 5 4 4 5 5 5 6 7 7 6 5 5 6 4 3 4 8 8 6 4 11 18 16 13 10 8 8 6 3 4 5 6 7 7 6 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 5 5 5 6 6 7 10 11 7 4 6 8 8 9 9 9 9 8 7 7 7 8 8 7 7 7 6 6 5 4 2 2 3 3 1 2 3 4 4 3 3 3 4 4 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 3 4 4 4 4 4 5 6 6 6 6 5 5 4 4 3 3 2 2 3 3 2 2 3 4 4 4 4 4 4 4 3 3 3 2 2 2 2 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 3 4 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 9 14 20 25 31 36 37 31 23 16 12 10 9 6 4 3 3 3 4 5 7 8 8 9 9 9 9 7 5 5 5 3 2 2 3 5 4 5 6 8 6 4 3 4 3 13 12 -0 -6 -4 3 -3 9 14 14 12 8 6 3 -4 -4 0 2 5 10 8 4 6 4 4 6 4 3 5 7 7 3 3 4 5 3 3 7 5 1 3 7 10 7 6 5 4 4 10 23 23 10 4 4 4 3 3 3 3 4 4 4 4 4 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 6 13 19 19 10 3 3 7 9 4 -3 -8 -13 -11 -5 -3 -3 -1 2 6 7 9 12 9 6 6 6 6 6 6 7 7 7 6 7 7 5 5 1 4 8 5 4 9 16 17 14 10 7 6 6 4 4 5 5 6 7 6 5 4 4 4 4 4 5 4 4 3 2 2 3 3 2 3 3 3 4 4 5 5 5 5 4 3 5 6 5 6 8 10 9 5 5 6 6 7 9 10 10 9 8 6 7 7 8 8 7 7 6 6 6 4 3 3 3 3 2 1 1 3 3 3 3 3 2 2 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 2 2 2 2 3 3 3 3 3 4 5 5 5 6 6 5 5 5 5 4 4 4 4 2 2 2 3 4 4 4 4 4 5 5 5 4 3 2 2 2 3 4 5 5 5 5 5 5 5 5 4 4 4 4 3 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 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 6 8 15 23 27 30 33 33 30 24 18 14 11 9 7 5 3 3 4 4 4 5 7 8 9 9 9 9 8 7 6 5 2 0 0 3 5 5 7 8 3 8 9 6 3 2 3 16 16 8 -3 -4 4 1 4 8 8 12 9 8 4 -2 -0 3 3 4 8 8 5 5 1 2 6 6 5 5 8 7 3 4 7 9 6 2 4 5 3 5 7 6 6 5 5 3 5 14 25 21 9 4 4 3 3 3 3 3 4 4 4 4 4 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 5 6 6 6 6 6 7 6 6 5 5 5 5 5 5 4 4 5 4 5 5 4 5 5 6 5 4 5 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 9 15 22 19 12 8 7 9 7 5 4 -1 -8 -10 -8 -9 -7 -4 -3 -2 2 6 8 7 5 4 4 5 6 6 6 8 9 9 5 5 8 3 2 5 4 6 10 16 17 15 11 7 5 4 5 5 5 5 5 6 6 5 4 3 3 5 5 5 4 4 3 3 3 3 3 3 3 3 3 2 3 3 4 5 7 6 1 2 5 5 5 6 7 8 7 5 5 5 6 8 10 11 11 9 7 6 7 8 8 8 7 6 6 6 5 4 4 4 3 2 0 1 1 1 2 2 1 1 1 1 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 3 2 2 2 2 2 2 2 3 3 3 3 3 4 5 5 5 5 5 6 6 6 6 6 4 3 2 3 3 4 4 5 5 5 5 6 6 5 4 3 2 2 3 4 4 5 5 5 5 5 5 5 5 4 4 3 2 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 6 13 27 35 31 28 28 26 22 17 14 12 10 8 5 4 3 3 4 5 4 6 8 8 8 9 9 9 8 7 6 3 -1 -3 -1 2 3 6 11 13 4 4 6 10 9 3 4 13 15 9 3 4 11 8 4 4 3 8 5 5 3 1 6 7 4 4 6 9 10 6 2 4 9 10 7 5 8 7 3 4 8 12 8 3 3 5 6 8 6 3 3 5 4 3 5 15 24 20 9 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 9 14 19 22 19 14 10 7 6 7 7 1 -5 -5 -5 -6 -5 -5 -6 -3 2 6 8 7 3 5 6 6 6 6 10 13 11 7 8 11 8 3 5 5 7 11 15 17 15 10 7 5 4 5 6 5 4 4 5 6 5 3 1 2 5 7 6 4 4 4 3 3 3 3 3 3 3 2 2 2 2 3 4 6 9 5 1 5 5 5 5 6 7 6 5 4 4 5 6 9 12 13 11 8 6 6 7 8 7 7 6 8 8 7 5 4 4 4 2 1 0 -0 0 1 1 1 1 0 0 1 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 4 5 5 6 6 7 7 8 7 4 3 3 3 3 4 4 5 4 5 5 6 6 6 5 4 3 2 2 3 4 4 4 5 4 4 5 4 4 3 2 2 2 2 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 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 6 6 6 6 6 7 7 8 24 43 36 21 18 19 18 16 14 11 9 8 6 4 3 2 3 4 5 5 7 8 8 8 8 9 9 8 7 5 -0 -5 -5 -1 -0 -0 6 10 13 8 2 4 9 9 7 6 12 13 6 2 6 11 11 6 3 2 3 1 3 5 3 8 7 4 5 6 7 8 7 3 6 10 11 8 9 10 7 3 3 7 10 8 5 6 9 10 11 5 2 4 6 4 3 3 11 21 23 13 5 3 3 3 3 4 4 4 4 4 4 3 3 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 6 6 5 5 5 5 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 13 17 20 21 17 12 9 9 9 7 6 7 5 3 2 3 2 2 4 7 6 8 11 10 7 8 6 6 14 17 13 11 11 10 7 5 5 6 7 10 13 13 11 9 7 5 5 5 6 5 4 3 4 6 5 4 2 2 5 8 7 5 4 3 3 3 3 3 3 3 2 2 2 2 1 2 2 3 6 7 4 4 5 4 4 6 6 6 5 5 5 5 6 8 12 14 14 11 8 6 6 6 5 6 7 9 10 8 7 6 5 6 5 2 0 -1 -0 1 1 -0 1 0 1 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 5 5 6 7 7 8 8 6 4 3 3 3 3 4 4 3 4 4 5 5 6 6 6 5 4 2 2 2 3 3 4 3 4 4 4 3 3 2 1 1 2 2 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 7 8 13 33 41 20 1 2 11 13 13 12 10 8 6 5 3 3 3 3 4 5 6 7 8 9 9 8 8 8 7 6 1 -5 -8 -3 1 3 2 3 7 11 11 5 5 4 5 6 3 6 9 6 3 3 4 6 5 4 0 0 3 7 9 6 6 7 3 4 5 4 6 6 2 2 6 7 8 10 9 6 4 5 6 5 4 6 9 11 11 11 5 3 4 5 5 4 5 9 16 25 19 6 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 6 5 5 5 5 5 6 8 12 17 18 18 16 15 15 15 17 19 15 9 8 9 9 8 9 14 11 9 18 18 11 11 8 5 12 16 12 10 10 9 7 6 5 5 7 8 10 9 9 8 6 5 5 5 6 5 4 3 4 5 6 5 4 3 5 7 7 5 4 3 3 3 3 3 3 2 2 2 1 1 1 1 2 2 3 4 4 4 4 4 5 5 6 6 5 5 5 5 6 7 11 14 15 13 10 7 5 5 4 5 7 10 12 10 8 8 8 7 6 4 2 -0 -1 1 1 1 1 1 1 2 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 4 3 3 3 2 2 2 3 3 3 3 3 3 3 2 2 2 3 4 4 5 6 6 7 8 7 6 4 3 3 4 4 4 3 3 3 4 5 5 6 6 6 5 3 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 3 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 3 3 4 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 6 7 7 6 6 6 7 10 18 30 24 5 -6 -6 3 10 10 10 9 7 5 4 3 2 2 3 4 5 6 7 8 8 7 7 7 6 6 2 -4 -8 -3 2 3 6 3 -1 6 8 8 7 8 6 6 6 2 1 4 7 8 4 -0 1 5 5 1 4 12 14 12 7 5 8 7 8 4 4 10 8 4 -0 1 3 5 6 4 2 5 9 7 2 -0 5 9 11 14 12 8 4 2 2 3 4 7 7 16 28 21 6 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 6 9 12 14 14 13 13 15 16 20 21 16 13 14 13 11 12 15 16 15 17 18 15 13 10 5 6 9 9 8 9 8 7 6 5 5 6 6 7 7 7 7 6 6 5 5 5 5 5 4 4 5 6 6 5 5 5 7 7 5 4 3 2 2 2 2 2 2 1 1 1 1 2 1 2 2 2 3 4 4 4 4 4 4 5 6 6 6 5 6 7 8 10 13 15 14 12 8 5 5 4 4 6 10 13 12 10 9 7 7 6 5 3 2 0 0 1 1 2 2 1 2 1 1 -1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 5 6 7 7 6 5 3 3 4 4 4 4 4 4 5 4 4 5 5 6 6 6 5 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 3 3 4 4 4 3 3 3 3 3 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 6 6 7 7 7 7 7 9 12 21 26 13 0 4 2 0 8 9 9 9 7 5 3 3 2 2 3 4 5 6 7 7 7 6 6 6 5 2 -3 -6 -3 2 3 3 4 1 0 7 6 4 5 5 10 12 8 3 1 2 6 10 6 0 2 8 8 5 10 15 14 10 6 4 8 13 16 9 5 8 7 5 3 5 4 0 3 1 1 7 11 11 5 1 4 6 10 14 11 10 5 1 -0 -1 4 6 5 19 30 18 5 4 4 3 3 3 4 4 4 4 4 4 3 4 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 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 4 5 4 4 4 3 3 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 5 5 5 4 5 6 7 9 8 7 7 8 10 14 16 16 16 14 11 9 8 9 10 9 9 8 7 7 4 3 4 7 8 9 8 8 6 5 5 5 5 5 5 6 6 7 7 7 6 5 5 5 5 5 5 5 6 6 5 5 6 6 5 4 3 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 4 4 5 4 4 4 6 7 6 6 7 9 10 11 12 14 15 13 9 6 5 4 5 6 9 12 12 12 9 6 5 6 7 5 3 2 0 0 -0 1 2 3 3 3 1 -1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 5 6 7 6 5 4 4 4 5 5 5 5 6 6 5 5 4 5 5 6 7 7 6 5 5 5 4 3 2 1 1 1 2 2 2 3 2 2 2 3 3 3 3 4 4 4 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 5 6 6 7 7 7 7 8 8 11 16 23 23 5 -3 12 10 3 7 8 8 8 7 4 3 3 2 2 3 4 5 6 7 7 6 5 5 4 2 -2 -5 -3 3 4 3 1 2 4 5 8 6 7 2 -2 7 11 6 4 -2 -2 4 7 4 3 7 11 9 8 10 10 8 6 3 2 7 14 15 8 5 7 4 1 4 6 6 6 6 2 5 9 8 11 9 7 7 7 12 13 10 10 5 -0 -2 0 7 10 8 19 29 16 6 4 4 3 3 3 4 4 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 4 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 5 5 4 4 4 5 5 5 5 5 4 4 5 7 10 10 9 6 5 4 3 3 3 3 2 2 3 2 2 3 5 7 9 9 8 6 6 6 5 5 5 4 5 5 7 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 3 2 2 2 1 1 1 1 1 2 2 2 2 3 3 3 3 3 4 4 5 5 4 4 6 6 6 6 9 10 12 12 13 14 15 13 9 6 4 5 5 5 8 11 11 9 8 6 5 6 7 6 5 2 0 0 0 1 2 3 4 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 6 6 5 5 4 4 4 4 5 6 7 7 6 6 5 4 4 5 5 6 6 6 6 6 6 6 4 3 2 2 2 3 3 3 2 2 2 2 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 4 4 4 3 4 4 4 3 4 4 3 4 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 4 4 4 4 5 6 7 7 7 7 8 10 12 16 20 23 17 0 1 13 11 7 6 7 7 7 6 4 3 2 2 2 3 4 5 6 7 6 5 5 4 1 -2 -4 -2 2 5 3 0 2 7 7 5 3 4 8 1 -2 3 6 8 8 2 3 7 5 3 4 8 11 11 11 9 7 4 1 -1 1 7 11 7 0 6 12 6 -0 -2 -0 9 12 8 7 11 9 3 6 10 11 11 12 14 17 16 12 4 -3 -6 3 14 15 9 18 30 18 6 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 5 5 4 4 4 4 5 5 4 4 5 4 4 4 5 5 4 3 3 2 2 3 3 3 3 2 2 2 3 4 6 7 8 7 7 6 5 5 5 5 5 5 6 6 7 8 8 6 5 5 5 6 5 6 5 5 5 5 5 5 6 5 4 4 4 3 3 3 3 3 3 2 2 3 3 4 4 3 4 4 4 4 5 5 5 5 6 6 6 6 9 12 13 15 15 16 15 13 9 5 4 4 4 6 8 10 11 9 8 6 6 6 7 7 5 3 2 1 0 1 2 2 3 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 4 4 4 5 5 5 4 4 4 4 5 6 6 6 5 6 6 5 4 4 4 5 5 5 5 6 7 8 8 7 5 4 3 3 3 3 2 2 1 1 1 1 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 5 5 5 4 4 4 4 5 5 6 7 7 7 8 9 14 18 21 21 17 8 1 7 14 10 6 6 8 7 6 6 4 3 2 1 2 3 4 5 6 7 7 6 4 2 -1 -3 -2 1 4 5 3 -3 -3 6 8 4 1 5 4 2 2 1 2 6 6 10 13 13 5 1 3 8 12 12 10 8 6 4 -0 -2 1 4 6 3 -1 8 11 7 1 -7 -2 11 10 6 9 9 4 3 1 4 10 15 17 15 22 26 14 1 -7 -7 6 16 13 9 18 31 20 6 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 2 2 3 3 3 2 2 2 3 4 5 6 6 7 7 6 5 5 5 5 5 5 5 5 6 6 5 4 3 4 6 6 6 5 6 6 5 5 5 5 5 4 5 5 6 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 4 5 6 5 5 6 7 7 7 8 11 14 16 18 18 17 14 9 5 3 4 5 7 9 10 11 10 9 7 6 6 6 6 5 3 3 1 1 1 1 1 2 3 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 7 7 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 5 4 3 3 3 4 4 4 4 5 5 4 4 5 5 4 5 4 4 5 5 5 5 5 5 5 4 4 4 5 7 8 10 10 8 6 4 3 3 3 3 1 1 -0 -0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 5 5 5 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 4 4 4 4 5 5 4 4 4 5 5 4 4 4 4 5 6 7 7 7 7 9 15 24 27 23 15 10 1 2 11 14 6 1 4 8 9 7 6 5 3 2 2 3 4 4 5 7 8 7 6 4 0 -3 -2 1 3 2 2 5 6 3 2 1 1 3 5 3 5 7 3 -0 -1 3 10 12 10 3 3 5 9 13 11 9 6 4 3 3 4 5 3 2 2 5 7 4 3 3 -4 2 13 11 4 5 4 -1 5 5 2 5 10 12 13 27 32 15 -0 -8 -5 8 13 7 7 19 33 22 6 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 4 5 5 5 5 4 3 4 5 4 4 3 2 2 2 3 3 4 4 3 2 2 2 3 3 2 2 2 3 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 3 1 2 6 6 6 6 6 6 5 5 5 5 4 4 4 5 6 7 7 7 5 5 5 4 3 4 4 3 4 4 3 3 3 3 4 5 5 6 6 7 7 7 8 10 14 17 21 21 19 14 8 4 3 4 6 8 10 11 12 12 10 8 6 5 5 5 4 3 3 2 1 1 0 0 1 2 5 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 5 5 5 6 6 6 6 6 6 5 5 4 4 5 5 6 7 7 6 5 4 4 4 4 4 4 4 4 5 5 5 6 5 4 4 3 3 4 5 5 5 6 6 6 6 6 5 4 5 7 8 9 9 7 5 4 3 3 3 2 1 0 0 1 -0 0 1 1 2 2 3 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 5 5 5 5 4 4 5 5 6 6 6 7 9 15 27 37 32 16 3 2 5 14 16 10 -0 -3 3 9 10 7 5 5 4 3 2 3 4 4 5 7 9 8 6 2 -2 -4 -1 4 4 1 1 5 11 15 10 6 4 3 2 3 8 12 7 4 -1 1 8 8 7 6 6 9 13 14 10 8 7 3 -0 4 9 7 3 1 2 7 7 5 6 5 2 4 14 12 1 0 1 -1 8 8 2 3 8 8 14 30 32 15 0 -5 -0 9 10 4 5 16 34 25 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 6 5 5 3 2 3 4 5 4 3 1 1 1 1 3 4 4 3 2 1 2 3 3 2 1 0 2 4 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 2 3 5 6 6 6 6 6 5 5 5 5 4 4 4 5 6 7 7 6 5 5 4 4 3 2 3 3 3 2 2 3 3 4 5 5 5 6 6 8 7 7 9 12 19 25 25 21 15 10 6 5 6 7 8 9 10 12 13 12 9 7 6 6 5 4 4 3 2 1 1 1 1 1 2 5 8 11 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 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 6 5 4 5 5 4 3 3 4 5 5 5 5 5 4 4 3 4 4 4 5 6 7 7 9 9 8 5 4 4 4 6 7 7 6 5 4 3 3 3 3 2 2 2 1 0 0 1 2 3 3 4 4 4 4 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 9 14 24 36 38 27 9 -7 -5 10 13 7 -3 -7 -5 3 9 10 8 5 4 4 3 3 4 4 4 6 7 9 8 3 -1 -4 -2 0 5 6 6 6 5 4 5 8 12 10 5 2 4 9 13 14 15 8 3 2 3 3 3 5 12 16 14 9 6 7 1 -1 5 8 4 2 3 6 11 10 8 6 7 3 2 11 7 -3 -3 -0 0 9 6 1 4 9 7 18 33 29 12 -1 -2 5 11 9 5 4 15 31 25 7 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 4 3 3 3 4 4 3 3 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 5 4 4 4 5 6 6 5 3 2 3 3 4 4 3 1 0 1 1 2 4 5 4 3 1 1 2 3 3 1 -0 2 4 4 4 6 6 6 7 7 6 6 5 5 5 5 5 4 5 6 9 10 6 3 4 6 6 6 6 6 6 5 5 5 5 5 4 4 5 5 5 6 6 6 5 5 2 1 2 3 3 3 2 3 4 4 5 5 5 4 6 8 8 7 9 12 19 26 29 25 19 13 9 7 7 7 7 8 8 9 11 11 10 8 9 9 9 7 5 4 3 2 1 1 1 1 2 4 8 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 6 6 6 6 6 7 6 6 6 6 6 6 5 6 7 7 6 7 8 9 8 6 5 5 6 5 4 3 3 4 4 5 5 5 5 5 4 4 3 3 4 6 6 7 9 9 9 7 5 4 4 4 4 5 5 5 4 4 4 5 4 4 4 4 3 1 1 2 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 7 6 6 9 14 20 27 31 27 17 6 -7 -10 -4 -14 -15 -15 -14 -7 2 8 11 9 5 4 3 3 3 4 4 5 6 7 8 5 -2 -3 -1 0 1 4 8 10 8 9 7 2 1 3 5 5 4 6 9 13 21 23 13 5 -0 -3 -3 3 7 11 13 11 7 3 1 0 6 11 7 2 -0 2 7 13 14 12 11 7 -1 0 8 7 0 -2 -2 2 11 8 4 4 2 4 21 35 26 8 -1 1 7 12 11 6 5 16 28 20 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 4 3 4 4 4 4 3 3 1 1 2 3 4 5 6 4 2 1 2 3 3 2 1 2 3 5 5 5 5 6 7 7 7 6 6 6 5 5 4 4 5 8 12 12 8 5 5 5 5 6 6 6 6 6 5 5 5 6 5 5 7 4 2 4 5 7 6 7 5 2 2 3 2 3 3 4 4 4 5 5 4 4 6 7 7 8 9 11 16 23 28 28 23 16 11 8 6 5 5 5 6 7 7 7 8 8 10 11 11 11 9 7 5 4 2 2 2 2 2 4 7 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 7 6 6 7 9 10 7 5 5 6 6 5 4 3 3 3 3 4 5 6 6 5 4 4 3 4 4 5 6 7 8 9 9 9 8 7 6 5 3 3 4 3 4 5 5 5 5 6 6 5 4 4 5 5 4 3 2 2 2 2 3 3 4 4 3 4 4 4 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 6 6 6 6 7 8 8 9 10 13 18 20 18 15 12 8 5 -3 -12 -17 -22 -19 -12 -10 -4 4 9 12 10 6 4 3 4 4 4 5 6 6 7 5 0 -3 1 5 0 4 4 6 5 4 8 7 3 3 4 5 5 6 6 8 15 23 22 13 7 4 2 -1 2 7 8 10 8 4 -0 -4 2 17 19 8 3 1 0 5 8 8 11 14 9 3 1 5 11 9 5 -1 4 9 12 6 3 2 11 26 30 18 5 0 3 8 12 10 6 7 17 27 17 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 6 6 5 4 4 4 4 4 4 3 3 3 3 4 4 5 7 6 4 2 1 3 4 3 2 3 4 5 5 5 5 5 6 7 7 7 6 5 5 4 3 3 5 10 13 11 7 5 5 5 5 6 6 6 6 6 6 6 5 5 6 6 8 6 2 3 5 5 5 7 7 4 3 3 3 3 4 4 4 5 5 5 5 5 5 6 8 8 8 9 11 16 21 24 20 15 10 7 5 3 2 3 4 4 5 4 5 6 7 8 10 11 13 11 9 7 5 4 4 3 3 4 5 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 8 8 7 7 7 7 7 7 6 6 6 6 7 7 8 8 7 6 6 8 9 8 5 4 5 7 7 6 4 3 3 3 4 5 6 6 6 5 4 4 4 4 4 5 6 7 8 10 12 12 12 11 9 6 5 4 3 3 4 4 4 4 5 7 7 7 6 7 6 4 3 2 1 1 0 1 1 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 7 7 7 7 9 12 11 14 15 15 15 13 9 4 5 8 8 3 -6 -10 -8 -5 -1 -0 3 9 14 14 11 8 5 4 4 4 5 5 6 7 6 3 -1 -1 3 2 0 5 4 0 -1 2 7 4 -0 3 5 7 7 7 4 5 12 17 15 12 10 9 8 4 2 4 8 10 6 2 1 -4 3 18 18 10 5 1 -1 5 8 3 2 6 11 12 6 4 10 12 11 5 6 3 11 12 11 11 17 23 20 9 1 -0 3 8 11 8 5 8 19 28 17 5 5 5 4 4 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 4 3 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 6 6 5 4 3 3 3 4 4 4 4 5 4 4 5 7 8 6 3 2 2 3 3 3 4 5 6 6 5 6 6 5 6 6 7 6 5 4 4 4 4 7 9 9 8 6 5 4 4 5 5 6 6 6 6 6 6 5 5 6 6 7 8 5 4 5 4 5 6 6 5 5 4 4 4 5 4 4 4 5 5 5 5 5 6 7 8 7 6 6 7 10 13 12 9 6 4 3 2 2 2 3 3 3 3 4 4 5 5 6 7 11 13 13 10 8 5 4 4 3 4 5 7 8 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 6 6 6 6 5 6 6 6 6 6 6 6 7 7 7 8 8 7 6 7 9 8 6 3 4 6 8 8 6 3 3 4 4 5 6 6 6 5 5 5 4 4 4 4 4 5 6 7 9 11 12 13 13 12 10 7 5 4 3 2 2 2 4 6 9 9 8 8 6 4 2 0 -0 -1 -2 -1 -0 0 1 1 1 1 1 2 3 3 4 4 4 4 4 4 5 5 4 4 4 5 5 4 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 11 15 15 16 13 9 9 9 8 6 13 20 18 12 6 5 5 5 5 5 8 15 19 17 14 11 6 4 4 4 4 5 6 6 5 3 2 1 1 2 6 7 3 -1 3 6 5 8 8 7 3 0 0 2 -0 2 8 9 7 7 5 7 12 10 6 3 6 7 3 1 6 6 9 12 12 9 6 1 1 4 3 -1 -1 4 11 11 7 5 6 8 8 11 9 -2 5 18 22 19 17 14 6 -1 -1 -1 1 7 10 8 5 9 21 25 13 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 3 3 3 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 3 3 4 5 5 5 4 4 4 5 5 5 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 5 6 5 5 5 5 6 6 5 4 3 3 3 4 5 5 5 5 5 4 6 9 10 9 5 2 1 2 2 2 4 7 7 6 6 7 7 5 5 5 5 5 5 5 6 7 8 8 7 5 4 5 5 5 4 4 5 5 6 6 6 6 6 5 6 6 5 6 7 7 6 6 6 5 5 6 6 6 5 5 5 5 5 4 4 5 5 5 6 6 5 5 6 7 6 4 2 2 3 3 3 2 2 2 2 3 3 4 3 2 2 3 4 5 5 4 4 4 8 11 11 10 7 5 4 3 4 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 6 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 7 8 7 7 8 9 7 3 3 4 7 8 7 5 3 4 4 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 6 8 10 13 15 14 12 10 7 4 2 1 2 4 6 8 7 7 6 4 3 1 -1 -1 -1 -1 -1 -1 -0 0 0 0 0 1 1 1 2 3 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 6 7 7 7 7 8 9 14 19 18 13 7 5 7 9 11 14 20 25 20 14 13 14 12 9 7 7 11 17 22 20 17 14 8 4 4 4 3 3 4 6 6 6 4 3 2 5 10 9 5 3 8 7 3 8 12 13 7 1 -1 -4 -6 1 7 5 2 -1 -3 6 17 16 7 1 2 3 3 7 11 13 14 13 13 8 3 0 4 6 3 -1 -0 8 7 6 10 7 1 2 6 10 12 -3 -6 12 25 22 12 1 -7 -5 -1 -2 3 10 11 9 6 7 17 24 15 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 5 4 3 2 2 3 4 5 4 4 3 3 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 3 3 3 4 4 4 4 3 3 4 4 3 3 4 3 3 3 4 4 5 4 4 4 3 3 3 4 5 5 5 4 4 4 5 5 4 4 3 3 3 4 4 5 5 5 4 5 6 9 13 13 8 3 0 0 -0 0 3 6 7 6 7 8 7 6 5 5 5 5 5 5 7 10 10 8 6 5 5 6 6 5 5 4 4 4 4 5 5 6 5 5 6 5 6 6 6 7 7 7 6 6 6 6 7 7 6 6 6 5 5 5 4 4 5 5 6 6 5 4 5 8 7 4 2 -0 -2 -2 -1 -0 1 2 3 4 3 3 3 2 1 2 3 5 5 3 1 1 5 8 9 10 9 6 4 3 3 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 5 3 2 2 2 1 2 2 2 3 2 2 3 3 3 3 4 5 6 7 7 7 7 9 9 5 3 2 5 8 8 6 5 4 4 4 5 5 5 5 5 5 6 6 5 5 4 4 3 3 3 3 4 6 8 12 14 14 14 11 7 3 2 2 4 5 5 5 4 4 3 2 -0 -1 -1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 2 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 4 4 5 6 8 8 7 8 10 14 19 21 16 8 5 6 9 9 9 14 10 8 5 6 10 14 13 9 7 8 13 19 22 20 17 15 10 5 4 4 2 2 4 6 7 6 5 4 3 4 7 9 7 9 10 6 4 3 8 11 8 7 10 -3 -6 4 6 4 4 0 -2 9 20 16 6 2 2 4 9 15 14 10 8 13 16 9 0 -1 6 9 7 1 5 12 5 7 16 8 -1 3 7 10 10 2 -5 7 26 20 4 -10 -13 0 4 2 7 11 9 8 7 6 13 25 20 7 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 2 1 1 3 5 5 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 5 5 5 5 4 3 3 3 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 6 9 13 16 12 6 1 -2 -3 -3 -1 4 6 6 7 7 7 6 6 7 7 7 7 7 8 11 12 9 7 9 9 7 6 6 5 3 3 3 3 4 4 5 5 5 5 5 6 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 4 4 5 6 6 5 4 4 5 6 6 5 2 -0 -1 -1 0 1 3 4 3 3 3 2 2 2 2 2 3 3 3 2 3 4 6 7 9 9 6 4 3 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 8 5 5 4 3 3 3 3 4 3 3 2 2 1 2 2 2 3 4 6 7 6 6 8 9 8 4 2 3 7 9 9 7 5 4 4 4 4 4 4 5 5 6 6 5 5 5 5 4 4 4 3 4 4 6 8 10 12 14 15 12 6 4 4 5 5 4 2 2 2 2 1 1 1 2 4 5 4 3 2 2 1 1 1 1 1 1 1 1 2 3 3 3 3 3 3 4 3 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 5 6 7 8 8 8 11 16 19 20 16 10 6 5 7 9 6 4 6 -3 -12 -5 3 7 11 12 10 8 10 14 20 20 16 14 13 12 8 5 3 3 3 5 6 7 5 5 5 6 4 2 4 8 12 11 7 5 -0 1 5 10 17 17 0 -0 6 5 6 11 7 4 12 16 8 4 5 4 8 15 16 12 7 4 7 11 5 -1 2 9 11 6 5 9 10 7 12 14 5 2 5 7 10 9 13 7 18 29 16 -8 -23 -9 17 22 18 17 14 9 6 6 6 12 24 23 9 4 5 5 6 5 5 5 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 2 1 2 4 6 6 5 4 3 4 4 4 4 5 5 5 4 4 4 5 5 5 5 4 4 4 4 5 4 4 4 4 4 3 3 3 3 3 2 2 1 1 2 2 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 3 3 4 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 6 7 10 13 13 8 3 -0 -3 -5 -4 3 5 5 5 6 6 6 6 7 8 9 9 8 8 11 15 12 7 10 12 8 8 7 5 4 3 2 2 3 4 4 5 4 4 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 4 4 5 6 6 5 3 3 4 6 7 6 5 3 2 2 3 4 4 4 3 2 2 2 3 3 2 2 2 2 2 3 3 5 7 8 7 5 3 3 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 7 7 7 8 7 7 7 7 7 7 6 4 2 1 1 2 2 3 4 6 6 5 6 9 10 7 5 5 8 11 11 10 8 5 4 3 2 3 4 4 5 5 5 5 5 5 6 6 6 5 4 4 4 5 6 8 10 12 15 15 12 8 7 6 4 2 1 1 1 1 1 3 4 5 5 6 6 5 4 3 2 2 2 2 2 2 2 2 3 4 3 3 2 2 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 6 8 8 8 7 10 17 20 15 10 8 6 6 7 6 3 2 1 -7 -13 -2 7 10 12 14 14 14 14 16 17 15 11 10 11 12 10 7 4 3 4 5 6 6 4 5 5 7 7 4 3 6 7 6 6 4 -0 -1 -1 4 17 10 -2 5 6 5 10 17 11 8 12 8 4 8 9 7 11 13 10 10 9 8 6 5 -4 0 9 10 9 5 5 3 0 5 11 7 4 8 9 7 1 7 20 15 27 29 11 -16 -22 3 29 33 30 25 16 10 7 5 5 11 23 24 11 4 5 5 6 6 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 3 2 2 3 5 7 6 5 3 4 4 4 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 1 1 1 2 3 3 4 4 4 4 5 5 5 5 5 5 6 5 5 4 4 4 5 5 5 5 5 4 4 4 3 3 3 4 4 4 5 5 5 5 5 6 7 7 7 7 7 7 4 1 -2 -3 0 3 4 5 5 4 5 5 5 6 7 8 7 6 10 16 12 3 4 10 9 8 8 7 6 5 3 2 3 4 5 4 4 4 4 5 4 4 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 4 4 4 5 6 6 5 3 2 4 6 7 8 8 6 6 5 4 4 3 2 2 2 2 3 3 2 2 2 1 1 1 1 2 5 7 6 4 3 3 3 2 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 7 7 7 9 10 10 10 10 11 12 11 9 5 3 2 1 2 3 4 5 5 4 5 7 9 10 9 10 11 11 10 10 10 8 5 3 2 3 4 4 5 5 4 4 4 5 5 6 7 7 6 4 4 5 6 7 8 9 12 14 15 13 11 9 5 2 1 1 1 1 2 4 5 5 6 6 6 5 5 5 4 3 3 2 2 2 2 3 4 4 3 2 2 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 6 7 8 7 6 7 16 20 14 11 9 7 5 6 6 4 3 1 -3 -3 6 11 12 15 17 18 19 19 18 15 12 9 7 8 10 9 7 4 4 4 5 7 5 4 5 4 5 10 10 6 6 3 4 5 4 3 5 -1 -2 2 -4 -3 10 10 4 9 19 13 10 6 3 10 17 12 9 8 4 5 9 6 6 8 4 -3 4 12 9 5 -0 -5 -7 -1 8 7 1 4 11 12 7 -0 7 15 16 30 27 7 -12 -8 11 22 25 26 22 14 9 8 6 5 10 21 27 14 4 4 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 3 3 3 5 7 6 5 4 3 3 4 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 5 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 3 6 8 6 4 1 -0 2 5 5 4 4 4 4 4 4 4 5 4 3 7 14 8 -3 -2 4 7 7 7 8 9 9 7 4 3 4 5 4 3 3 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 6 7 8 7 5 4 4 4 4 5 6 6 4 2 2 3 6 8 10 11 10 8 6 4 3 2 1 2 2 2 2 2 2 3 2 1 0 0 -0 2 4 5 5 4 3 2 2 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 5 7 8 9 8 9 11 14 16 15 12 7 2 2 2 2 3 4 5 4 4 4 7 10 13 15 12 8 5 6 9 9 7 4 3 3 4 5 6 5 4 4 4 4 4 5 5 6 6 5 5 5 6 6 7 8 9 11 14 15 14 11 7 3 2 2 2 2 2 3 4 5 5 6 6 6 6 5 5 5 4 3 2 2 3 3 4 4 3 2 2 3 3 3 3 3 3 4 5 4 4 5 5 4 4 4 4 4 5 5 5 6 7 8 6 5 5 14 21 20 16 10 4 5 7 6 4 5 6 3 4 8 9 11 13 15 17 20 22 21 16 12 9 7 6 7 6 4 3 4 4 4 6 5 7 9 8 8 9 6 6 6 5 6 4 4 9 14 12 10 2 -8 -3 3 5 2 5 9 7 8 4 3 12 13 8 6 1 -1 5 8 4 4 8 3 5 6 8 8 5 2 -1 -2 3 4 -4 -6 3 11 8 1 -1 5 4 15 31 27 7 -5 1 11 13 14 14 13 10 8 7 5 4 10 24 29 15 4 4 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 5 6 6 4 3 3 3 4 5 6 7 8 7 6 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 4 3 4 4 4 4 5 5 4 4 5 4 5 5 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 6 8 7 3 5 8 7 6 4 1 2 5 5 4 4 4 5 5 5 5 5 4 3 6 9 5 -2 -0 3 4 3 3 5 8 11 12 11 9 7 5 3 2 2 3 3 3 4 4 5 5 5 5 6 6 7 7 7 7 6 6 7 8 7 7 5 4 4 4 5 5 6 5 4 2 2 4 5 9 12 14 13 11 7 4 3 2 3 2 1 2 2 2 2 2 3 2 1 1 1 2 3 6 8 5 2 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 4 5 6 6 6 6 7 10 14 17 18 13 7 4 2 2 2 4 5 4 4 3 4 7 12 14 10 4 1 2 5 7 6 5 4 4 5 5 6 6 5 5 4 3 3 3 3 4 5 5 5 4 5 6 6 7 7 8 10 13 15 13 9 6 4 3 3 3 3 3 4 4 5 6 6 6 6 5 5 5 4 4 3 2 2 3 4 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 5 5 6 11 23 28 19 9 3 5 6 1 1 7 8 7 7 7 6 6 8 10 14 18 22 23 18 12 8 6 5 3 3 2 3 4 4 3 5 6 8 12 12 10 7 4 6 5 4 4 2 5 11 11 9 11 13 12 5 -2 -3 -0 4 -1 3 5 4 3 7 9 8 3 -2 -0 8 12 9 5 5 1 5 7 9 9 7 1 -3 9 18 7 -8 -6 3 5 -0 -3 2 4 2 14 30 26 9 1 7 12 12 11 9 8 7 6 5 3 4 13 25 22 8 4 6 6 6 6 5 4 4 5 5 5 3 3 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 4 3 5 6 5 4 2 3 3 4 5 6 7 8 8 6 5 4 3 4 4 4 4 3 3 3 3 4 4 3 3 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 6 6 5 8 9 7 6 7 6 5 3 2 2 3 3 3 4 4 5 5 6 6 6 6 6 6 7 5 3 4 5 4 3 2 2 4 7 11 15 20 17 9 4 2 1 2 2 3 4 4 4 4 4 5 5 5 6 6 7 6 6 6 6 6 7 8 7 5 4 4 5 5 6 5 5 3 3 4 4 6 9 13 16 18 14 9 6 4 4 3 2 1 1 1 1 2 3 3 2 2 1 0 1 7 10 8 4 3 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 3 4 4 4 5 4 5 6 8 12 17 17 14 9 5 3 2 3 4 4 3 2 2 3 6 8 7 3 1 0 1 3 3 4 5 6 5 5 5 5 5 6 5 4 3 3 3 3 3 4 4 4 4 5 5 6 6 7 9 10 12 13 11 8 6 5 4 4 4 4 3 3 4 5 5 6 6 5 5 5 4 4 3 3 3 3 3 3 2 2 2 3 4 4 3 3 3 4 4 4 5 5 4 4 4 3 4 5 5 6 6 7 7 6 4 5 7 14 28 30 18 7 3 6 3 -5 -2 4 7 6 6 4 3 4 5 7 11 16 22 25 20 12 7 5 3 3 2 2 4 4 5 5 6 7 8 11 11 8 7 7 9 5 3 3 3 5 6 4 4 5 11 20 18 9 1 0 6 3 5 4 1 3 12 16 12 3 -0 4 11 16 13 5 1 -1 -0 6 10 9 3 -6 -5 16 31 14 -1 0 2 -4 -5 1 6 5 6 16 24 20 11 7 12 14 13 10 8 6 6 6 4 2 3 11 16 10 5 11 14 9 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 5 3 2 3 4 5 6 7 7 8 8 7 5 4 3 3 3 4 4 3 3 3 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 8 7 7 6 6 7 8 8 8 6 4 3 3 2 3 3 3 3 4 5 5 6 5 5 6 6 7 7 7 6 6 5 5 4 3 3 3 4 5 12 22 25 17 8 3 2 2 2 3 3 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 6 7 7 6 5 4 4 5 6 6 5 4 4 5 5 5 6 9 14 18 20 18 12 8 6 6 5 3 2 1 2 3 4 3 4 3 2 1 1 6 9 10 7 5 3 3 2 2 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 3 3 3 3 3 4 6 10 14 15 14 10 7 4 3 3 4 4 3 1 1 1 3 3 3 2 1 -0 -0 1 3 5 5 4 4 4 4 5 7 7 6 5 5 4 2 1 1 2 3 3 3 3 4 6 7 8 8 9 10 10 9 7 5 4 5 5 4 4 3 3 4 4 5 5 5 4 4 5 4 3 3 3 3 4 3 2 2 3 3 4 4 4 4 3 4 4 4 4 5 5 4 4 4 4 5 6 6 6 7 7 5 4 5 9 17 27 26 15 7 4 5 1 -2 1 2 3 4 4 2 1 3 4 6 9 14 20 23 18 12 9 6 4 4 3 2 3 5 7 7 8 10 10 9 9 10 6 6 10 6 4 4 7 7 6 12 12 1 0 11 14 12 6 1 6 6 5 4 2 3 12 18 11 4 2 6 11 15 12 5 2 0 0 3 5 8 6 -0 -0 17 27 11 0 -0 -1 -4 -1 6 8 5 10 16 16 12 10 13 14 14 12 10 6 5 7 7 3 1 3 7 8 6 8 15 23 16 6 6 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 5 3 2 3 4 5 5 6 6 7 8 9 9 7 6 3 2 4 4 5 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 6 6 7 7 9 11 10 8 6 5 5 7 8 9 9 7 4 2 4 5 6 5 4 4 4 4 4 5 4 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 6 14 22 20 13 6 3 2 2 2 3 4 4 4 4 3 3 4 4 5 5 5 6 6 5 5 5 6 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 6 9 14 18 20 17 13 11 11 12 12 10 7 5 5 5 5 5 4 3 2 3 4 7 9 9 7 6 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 2 2 2 3 3 3 3 3 2 2 3 4 8 11 13 14 13 10 7 6 5 4 3 3 2 1 1 2 2 2 2 1 1 2 3 4 5 4 3 4 3 4 5 6 6 6 7 7 4 1 -0 0 1 1 2 2 3 4 6 7 7 8 8 8 8 7 6 4 4 5 5 4 3 3 3 4 3 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 4 4 4 5 5 5 4 4 4 5 6 6 6 7 7 5 3 4 7 12 19 25 21 11 6 4 4 5 10 12 4 1 1 1 1 2 4 5 6 8 11 15 16 14 11 10 8 6 5 3 2 3 7 7 6 8 12 11 8 8 10 6 5 7 9 5 2 7 8 13 23 11 -1 6 9 3 4 4 2 5 4 5 7 5 3 4 6 2 3 4 6 8 9 8 5 4 4 6 9 7 8 8 4 2 4 11 8 1 1 -0 3 7 9 10 12 14 12 7 5 10 16 16 13 10 8 5 4 6 6 3 1 2 5 7 7 9 16 28 21 7 6 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 4 2 2 3 5 5 5 5 5 6 8 10 11 11 9 6 5 5 6 6 6 6 5 4 4 3 3 3 4 4 5 5 5 6 5 5 5 5 4 4 4 4 4 3 4 4 5 5 5 5 6 6 6 5 5 5 4 5 5 5 5 5 5 6 7 7 7 6 6 6 7 8 9 10 13 13 12 8 5 3 4 7 9 9 9 8 5 4 5 8 8 6 5 4 4 4 5 5 5 6 5 5 5 6 5 5 6 6 6 6 6 6 5 5 3 3 6 11 15 13 10 6 4 3 2 3 4 5 5 3 3 2 3 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 6 6 5 5 5 5 6 5 5 4 6 10 13 16 16 14 14 16 19 20 16 13 12 9 7 7 6 5 4 3 3 3 6 8 8 9 8 7 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 5 4 4 3 3 3 3 4 4 4 3 2 3 3 4 4 7 9 12 15 15 15 13 10 7 5 5 4 4 2 1 2 1 2 3 3 3 3 4 4 4 4 5 5 4 4 4 4 5 7 7 7 3 0 -0 0 1 1 2 2 3 5 6 6 6 7 7 8 7 6 5 5 5 5 5 3 3 3 4 3 3 4 5 5 4 3 4 4 4 4 4 3 2 2 3 3 4 4 4 3 3 3 4 5 5 5 5 4 4 5 6 7 7 7 8 6 4 3 5 9 15 22 24 16 6 3 6 9 11 15 9 1 -1 -0 1 3 4 7 8 8 8 8 10 10 9 7 8 8 7 5 3 2 4 6 6 6 9 9 6 6 9 6 5 4 5 7 4 1 5 8 15 22 6 1 11 5 -3 -0 3 5 6 4 5 7 5 5 2 -1 -1 6 6 7 8 7 6 4 3 4 9 12 8 4 5 6 1 -8 -4 3 5 8 5 5 8 8 10 13 12 7 2 3 10 16 18 14 10 7 5 5 6 6 2 1 3 5 6 7 9 16 27 24 9 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 5 5 6 5 3 2 2 4 5 5 5 4 4 5 6 9 12 14 14 10 8 7 8 7 7 6 5 4 3 3 4 4 4 5 5 5 5 5 5 6 5 5 4 5 5 4 4 4 4 4 5 5 6 6 6 6 6 5 5 4 5 5 5 5 5 5 6 6 7 7 7 6 6 7 9 12 13 15 17 15 10 7 4 3 4 6 8 9 8 7 6 6 5 7 7 5 5 5 4 5 6 6 7 7 7 6 6 5 4 4 6 6 7 7 8 8 5 4 4 4 4 4 7 9 9 8 7 5 4 3 4 6 5 3 1 1 2 2 4 4 4 4 5 5 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 6 5 5 6 10 11 11 12 14 16 18 17 15 15 16 15 12 9 8 6 5 4 4 4 6 6 7 9 10 9 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 11 10 10 10 10 8 8 7 5 5 4 4 4 5 5 4 4 5 8 11 15 19 21 18 14 10 8 8 7 6 4 4 4 4 4 4 4 3 3 3 4 5 7 7 5 3 3 3 4 5 6 7 5 3 1 1 2 2 2 2 2 4 5 5 5 6 6 7 7 6 6 7 7 6 5 4 3 4 4 4 3 3 5 5 4 3 4 4 4 4 4 3 2 2 2 3 3 3 4 3 3 4 4 4 4 4 4 4 5 6 6 7 7 9 8 5 2 3 7 14 21 27 24 12 3 3 9 13 8 5 -1 -4 -1 -0 1 3 6 9 12 12 10 8 7 7 5 4 4 6 6 4 3 4 6 6 5 8 10 6 3 5 8 6 4 3 5 6 4 2 2 9 10 8 1 4 9 3 1 3 5 7 8 6 5 5 3 4 4 2 6 12 13 11 8 6 4 2 3 5 9 9 4 1 3 7 3 -9 -6 2 7 10 9 6 9 9 9 8 5 -1 -2 6 11 14 16 14 12 8 6 5 6 4 1 1 4 6 5 5 8 15 28 26 11 5 6 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 5 4 2 2 3 4 5 5 5 4 3 4 4 6 10 13 13 11 9 9 7 6 6 6 5 4 4 4 4 5 5 5 6 6 6 5 5 6 5 4 4 5 5 4 4 5 5 5 5 6 6 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 6 6 6 7 10 13 15 18 20 19 13 8 7 7 5 4 4 6 7 8 7 6 5 2 6 6 5 5 5 5 5 6 7 7 8 8 8 7 6 5 4 5 6 7 8 11 9 4 4 4 3 3 3 4 6 7 7 8 7 6 5 6 7 7 6 3 1 1 2 3 3 3 3 4 5 6 5 5 5 5 5 5 6 7 6 5 5 5 5 5 6 6 5 6 5 4 4 6 7 8 10 14 12 9 9 13 18 19 18 13 10 7 6 6 4 5 6 6 6 7 9 9 9 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 12 14 16 17 18 18 15 11 7 6 6 5 5 5 5 4 4 5 5 6 10 15 20 21 18 15 13 12 12 11 10 9 8 7 5 4 3 4 4 4 5 6 8 8 6 4 3 3 3 3 4 5 4 4 3 2 2 3 2 2 2 3 5 5 5 5 5 6 7 7 7 7 8 8 6 5 5 5 5 4 3 4 4 5 5 4 3 4 4 3 4 3 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 5 6 7 8 8 9 8 4 2 5 13 21 29 31 22 9 4 4 5 4 -3 -5 -3 -3 -1 -0 2 4 6 10 17 18 12 8 6 5 4 2 2 3 4 3 3 5 7 6 4 8 9 7 6 7 12 13 7 4 3 5 4 3 2 8 7 -5 -2 7 7 5 6 6 6 7 7 6 4 3 2 3 4 2 10 20 20 13 7 5 0 0 4 6 8 8 5 2 3 9 8 -1 -0 7 9 7 6 8 12 13 9 3 -1 -2 5 10 9 10 12 13 12 10 7 6 6 2 1 3 5 6 4 4 8 19 31 26 11 5 5 5 5 5 6 5 5 5 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 4 5 5 6 6 6 5 5 4 3 3 3 3 4 4 4 5 4 3 3 3 4 6 8 9 9 8 8 6 6 5 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 5 4 5 5 5 5 6 5 5 6 5 5 5 5 5 5 4 5 5 5 5 5 6 5 6 6 6 6 7 7 9 13 16 18 20 22 18 11 7 7 8 6 4 4 5 6 7 7 6 6 5 6 5 5 5 5 5 5 6 7 8 8 8 8 9 8 6 5 5 5 7 8 9 8 5 5 5 3 2 3 4 4 5 6 7 7 6 6 7 8 8 9 10 9 6 4 3 3 2 2 3 5 5 5 6 6 5 5 5 6 6 6 5 5 5 5 6 6 5 6 6 5 4 2 3 4 5 6 8 6 5 8 12 17 21 19 15 12 9 7 6 6 7 7 7 5 6 8 9 9 9 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 10 13 15 19 21 20 15 11 8 7 6 5 5 4 3 3 4 4 4 5 8 12 15 14 13 12 12 13 13 13 12 11 9 6 4 3 4 4 5 6 7 8 9 8 7 5 5 4 3 3 3 4 5 5 4 3 4 3 2 1 2 4 5 5 5 5 6 6 6 7 7 8 8 8 7 7 7 6 5 5 5 5 5 6 5 5 5 5 4 4 4 3 2 1 1 2 2 3 3 4 4 4 4 4 4 4 4 5 7 7 8 10 10 6 2 4 12 23 32 36 30 17 9 3 -2 -7 -8 -10 -8 -4 -2 -1 1 3 4 6 10 19 24 16 8 5 5 4 4 4 4 4 3 2 3 6 3 2 7 9 12 9 11 15 13 9 7 3 2 3 4 6 9 6 -4 3 13 8 6 5 6 6 6 6 4 3 3 4 4 4 5 15 24 23 12 7 4 -3 2 9 8 3 3 4 5 6 10 12 9 7 10 11 5 1 4 9 8 9 4 0 8 19 15 9 9 10 11 11 11 8 6 6 4 3 4 6 6 4 4 12 27 32 20 7 4 5 5 6 6 6 6 5 5 5 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 5 5 3 3 3 3 3 4 4 3 4 4 4 3 3 3 3 4 5 5 6 6 6 6 5 5 5 5 6 6 6 5 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 5 5 5 5 5 6 7 8 12 16 17 18 19 18 14 9 6 7 7 7 5 5 5 6 6 7 6 6 8 5 4 4 5 5 5 6 6 7 8 8 8 9 9 8 7 6 6 6 6 7 7 7 6 5 5 4 3 2 3 3 4 5 6 6 6 7 7 8 8 9 14 18 16 11 5 3 3 3 3 4 5 5 6 6 6 5 5 5 5 5 4 5 5 5 5 5 6 6 6 6 5 4 4 4 4 5 5 5 7 10 11 17 20 19 15 12 10 9 8 8 8 9 10 10 9 9 9 10 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 6 7 11 14 17 18 16 13 9 6 4 5 4 3 3 3 4 4 3 4 5 6 7 7 7 8 9 10 11 11 12 10 7 5 4 5 7 8 8 8 8 9 10 9 8 7 7 6 5 4 5 5 5 4 4 4 4 2 1 2 3 4 5 6 6 6 6 5 5 5 6 7 8 8 9 9 9 7 6 6 7 7 7 7 7 7 7 6 6 5 3 2 2 1 2 2 3 3 3 4 3 3 3 3 4 4 6 7 7 9 11 8 4 3 11 25 34 33 28 20 15 9 1 -7 -8 -8 -10 -8 -4 -2 -0 2 4 5 6 9 19 27 20 9 6 5 4 5 6 4 4 5 3 3 7 5 3 6 11 11 8 12 9 9 9 9 6 2 1 4 8 7 4 5 10 13 9 5 4 5 6 7 7 4 3 6 8 7 5 9 17 26 21 10 8 4 -3 7 16 11 4 2 1 2 6 6 3 4 6 9 12 8 5 4 6 7 8 3 5 20 26 17 9 9 9 9 11 11 9 8 6 4 4 5 7 6 5 6 17 32 27 11 4 4 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 3 4 4 4 5 5 5 5 5 5 4 4 4 4 5 4 5 5 6 5 5 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 3 4 4 5 5 5 6 6 6 6 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 5 4 4 4 5 5 6 6 6 5 5 5 6 6 7 10 14 16 16 14 12 10 8 6 6 8 10 10 7 5 6 5 6 7 6 5 3 1 3 4 4 5 5 6 6 7 7 7 7 8 8 8 8 7 6 6 7 7 8 10 5 4 5 5 4 3 3 3 4 5 6 6 6 6 8 8 8 7 11 19 22 17 10 5 4 2 2 3 5 5 5 6 6 6 6 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 4 5 5 5 7 9 10 14 17 18 15 12 12 11 10 9 8 10 14 16 16 14 11 10 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 5 7 10 15 17 15 9 6 6 6 5 4 4 4 4 3 3 3 3 3 4 4 4 4 5 6 7 8 10 10 9 7 7 8 9 10 9 8 7 8 9 9 8 7 7 7 7 6 7 7 6 5 4 4 4 3 2 1 1 2 3 5 6 5 4 4 3 3 4 5 6 8 9 10 10 10 9 9 9 10 9 8 8 8 9 9 8 6 4 3 2 1 2 2 2 3 3 3 3 3 3 3 3 4 6 7 8 10 11 7 3 8 21 32 33 25 13 5 4 5 6 3 2 -4 -7 -6 -4 -1 1 3 5 6 7 9 17 27 24 12 7 7 6 5 4 2 3 7 7 5 6 5 3 3 9 8 8 9 6 7 6 11 9 2 0 5 8 5 5 10 10 6 9 5 4 4 5 9 7 3 4 8 10 9 7 8 12 19 16 9 10 3 -1 9 15 12 8 7 3 2 7 9 3 -1 -0 9 14 10 8 7 6 15 9 4 13 23 21 13 9 9 9 10 11 11 10 9 5 2 3 6 8 7 5 9 22 31 21 7 4 4 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 3 3 4 5 6 6 5 5 4 4 3 3 2 2 3 4 4 4 4 5 5 6 6 6 6 6 7 7 6 6 6 6 6 5 5 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 5 4 5 5 5 5 6 6 6 5 5 5 5 6 7 8 11 13 14 12 10 6 3 2 5 7 11 14 12 6 6 6 6 6 7 7 6 -0 -5 -0 3 3 4 5 6 6 7 9 8 5 5 6 7 7 7 6 6 7 7 8 11 7 3 5 5 5 5 3 3 4 4 6 6 6 7 8 8 7 6 7 11 18 18 14 9 4 2 2 4 5 5 5 5 6 7 6 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 3 2 5 8 11 15 16 15 13 13 12 10 8 7 9 14 19 22 19 14 11 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 4 4 6 10 14 13 10 9 11 11 8 5 5 5 4 3 3 3 3 3 3 3 3 4 4 5 5 6 8 9 9 9 9 10 11 10 8 5 5 5 6 6 6 5 6 6 7 8 9 9 8 7 5 4 4 3 2 1 0 0 1 2 3 3 3 3 2 2 3 4 5 7 9 9 10 10 10 10 10 10 10 9 8 8 9 10 9 8 6 4 2 1 1 2 2 3 3 3 4 3 3 3 3 4 6 8 9 12 11 6 6 15 22 25 26 22 11 -0 -1 10 17 14 6 -5 -8 -6 -3 -0 2 4 5 5 7 9 16 24 25 16 10 10 8 6 4 2 6 9 8 5 3 2 1 2 6 9 10 5 7 4 2 5 6 0 1 7 10 5 6 6 2 -3 3 2 -0 0 4 7 5 1 3 7 9 8 8 7 6 11 10 9 14 4 1 7 12 8 6 9 9 8 10 11 10 6 2 8 13 12 8 5 5 14 9 11 19 19 14 10 9 10 10 10 11 11 10 7 3 1 2 7 10 8 6 12 24 27 16 5 4 5 6 6 6 7 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 3 3 4 5 6 6 6 6 5 5 5 4 3 2 2 2 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 6 6 6 5 5 5 5 5 5 4 5 5 4 4 4 5 5 5 5 5 6 6 6 5 5 5 6 6 7 8 10 12 11 9 7 6 5 3 5 8 11 15 10 5 5 6 7 7 6 6 7 2 -6 -5 1 3 3 4 5 6 7 10 11 8 5 5 6 6 7 6 6 6 7 7 8 7 5 7 7 7 6 5 4 4 4 5 6 6 7 7 7 7 7 5 6 11 15 16 14 9 5 3 4 4 4 5 6 6 6 6 5 5 4 4 4 5 5 4 4 5 6 6 6 6 6 6 6 6 5 4 2 2 4 6 8 11 11 11 12 12 12 11 10 8 8 10 14 20 20 15 11 10 11 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 4 4 4 5 6 8 9 10 12 15 16 13 10 9 8 6 4 3 3 3 2 2 2 2 3 4 5 4 4 5 7 8 9 9 9 10 8 5 3 2 3 4 4 4 4 5 6 7 8 8 9 9 9 8 6 4 4 3 2 1 -0 -1 0 1 2 3 3 3 3 3 4 5 6 7 7 8 8 8 8 8 8 9 9 9 9 9 10 9 8 6 4 3 2 2 3 3 3 3 3 3 4 4 3 4 6 8 11 15 16 11 7 12 14 13 15 21 23 17 8 7 12 12 7 -1 -7 -7 -4 -2 1 3 5 5 5 6 8 13 18 23 21 15 12 10 7 5 6 11 10 6 5 5 3 2 2 3 7 5 0 3 1 2 1 1 0 3 9 8 3 4 3 -1 -5 -8 -4 -3 -3 2 6 4 0 2 7 8 7 9 9 6 7 6 9 14 8 7 3 6 5 2 8 11 12 12 9 5 5 4 4 9 15 8 2 11 7 5 16 17 13 9 8 10 10 9 9 9 10 9 5 2 1 3 7 9 8 7 11 23 25 12 4 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 3 4 4 5 5 6 5 5 6 6 7 6 4 3 2 2 3 4 4 5 5 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 6 6 6 6 5 5 5 7 6 6 8 10 10 9 7 4 6 11 10 7 9 12 12 6 4 5 7 10 9 6 6 7 4 -2 -3 0 2 3 4 5 6 7 9 11 11 10 8 6 7 6 3 5 6 7 7 6 5 7 7 7 7 7 6 6 5 5 5 5 6 7 6 6 5 6 5 5 6 10 13 15 14 10 6 4 3 4 6 6 6 6 5 5 4 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 7 6 5 4 4 4 4 5 6 7 9 11 12 12 12 12 10 8 6 8 11 13 14 12 11 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 4 5 5 5 6 8 10 13 14 14 14 14 14 11 7 6 5 4 3 2 2 2 2 3 3 3 3 2 4 5 6 7 7 7 5 4 3 3 3 4 5 5 5 5 6 6 7 7 8 8 9 9 7 6 5 4 4 3 1 0 1 2 3 3 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 6 7 9 9 9 10 9 7 6 4 3 3 3 4 4 3 3 3 4 4 4 4 6 9 14 18 21 19 10 4 10 12 7 12 17 18 15 15 11 4 -5 -7 -7 -6 -4 -2 -0 2 5 5 5 6 6 8 10 16 22 23 18 12 8 4 5 10 13 9 6 7 9 7 4 1 2 4 -1 1 4 3 3 4 5 4 5 9 4 -1 0 1 -0 -6 -11 -3 1 -0 4 7 5 1 4 11 11 13 14 12 9 6 2 5 7 11 14 5 2 3 4 9 9 11 12 8 4 5 4 -1 8 19 8 2 11 7 10 22 17 10 7 8 10 10 9 9 9 8 6 4 2 3 4 6 8 8 6 9 21 25 13 4 5 7 7 6 6 6 6 6 6 6 6 5 4 5 5 4 5 5 5 4 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 7 7 7 6 4 2 3 4 4 5 5 5 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 6 7 6 6 5 5 5 4 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 6 5 5 6 7 7 6 8 10 9 7 4 2 2 10 14 11 11 11 8 5 4 4 6 12 13 8 5 5 5 1 0 2 3 3 3 5 5 6 7 9 9 9 9 8 8 7 6 6 7 6 6 6 5 6 7 7 7 7 7 8 7 6 5 4 5 6 6 5 4 5 5 6 6 6 8 12 15 15 10 5 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 6 6 7 7 7 6 6 5 4 4 5 4 6 9 10 10 12 14 13 10 7 5 7 8 7 9 12 13 12 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 5 5 4 4 5 5 5 4 5 5 6 7 9 12 15 16 14 11 9 9 7 5 4 4 4 4 3 3 3 2 1 1 2 4 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 7 8 8 7 7 6 5 5 4 4 3 4 4 4 5 5 5 5 4 4 3 3 2 2 1 2 2 2 3 4 5 6 7 8 10 9 6 5 3 3 3 4 5 5 4 3 3 4 4 4 6 11 16 19 19 18 13 4 -2 8 12 5 8 11 10 11 13 3 -10 -16 -12 -6 -3 -2 -1 1 3 5 5 5 6 7 10 13 19 25 23 16 9 4 0 3 10 8 7 7 9 10 8 4 4 8 9 7 9 7 2 1 6 12 8 6 12 5 -1 -2 1 1 -4 -1 4 7 6 7 7 3 1 6 14 16 19 19 13 9 7 4 2 5 12 15 15 10 2 5 9 6 5 7 7 7 6 1 -2 9 13 8 9 16 14 15 20 17 11 9 9 9 9 9 9 9 8 5 3 4 4 5 6 7 7 5 8 19 25 14 5 7 8 7 6 6 6 6 6 6 6 6 5 4 5 5 5 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 4 4 5 5 4 4 5 6 7 7 7 7 5 3 3 4 4 5 5 5 5 5 5 5 6 5 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 6 7 7 7 7 8 9 9 6 5 3 0 4 10 11 10 8 5 5 4 2 0 4 11 9 5 3 3 1 1 3 3 3 4 4 5 6 8 8 8 7 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 8 8 8 8 6 5 5 5 6 5 4 4 4 5 6 6 7 8 12 15 14 9 5 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 6 7 7 7 6 4 4 4 5 5 6 6 6 6 8 9 10 9 7 6 7 7 6 6 10 14 17 17 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 5 4 4 5 5 4 5 4 4 3 3 4 7 10 12 13 12 11 11 10 9 8 8 7 7 6 5 4 4 3 2 3 3 4 4 5 6 6 7 7 6 6 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 7 6 7 7 7 6 6 6 5 4 5 4 3 2 2 1 0 -0 -0 -0 0 0 1 2 2 3 4 5 6 8 8 6 4 2 2 3 4 6 6 5 4 4 3 3 5 14 22 23 17 9 5 3 1 1 8 8 3 1 -0 1 5 -1 -18 -25 -17 -8 -3 -2 -1 0 3 5 6 5 5 8 12 16 18 22 23 19 12 7 4 2 2 4 -1 -0 2 7 10 8 5 9 14 13 11 10 6 2 3 9 13 8 8 17 8 1 1 2 2 3 6 9 9 8 9 7 0 1 8 13 14 15 16 10 6 7 5 3 8 11 12 18 12 1 3 5 3 -1 1 5 8 8 7 6 7 5 10 15 21 26 22 15 13 10 9 9 9 8 8 8 9 7 4 3 4 4 5 6 6 5 5 10 22 24 14 7 7 8 7 6 5 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 4 4 5 6 5 5 4 3 4 4 5 5 5 5 6 7 7 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 8 8 7 6 8 9 8 7 7 5 3 4 7 9 9 8 6 6 5 0 -5 -4 4 7 5 4 3 1 3 4 4 4 4 4 5 6 7 8 8 8 7 7 8 8 8 8 8 7 8 7 7 6 6 6 6 6 7 8 9 9 7 5 5 5 5 4 4 3 3 4 5 7 7 8 9 12 13 12 9 5 3 5 6 6 5 6 6 6 5 4 4 5 5 5 5 4 5 5 5 6 7 6 7 7 7 6 4 2 3 5 9 8 5 4 5 5 3 3 6 7 7 7 7 6 6 8 13 16 16 16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 5 5 4 4 5 3 4 4 3 4 4 4 4 5 7 7 9 10 11 11 11 11 10 11 11 10 10 11 12 11 7 6 5 5 5 5 5 6 7 8 7 6 6 6 6 6 7 7 7 8 7 7 7 6 6 6 6 7 7 7 8 8 8 8 7 6 5 4 4 3 2 1 1 -0 -0 -0 1 1 1 1 2 2 2 3 4 4 5 5 5 3 3 2 3 5 7 7 6 5 4 3 4 11 22 25 18 7 -0 -2 -0 3 4 6 11 10 2 -5 -6 -9 -21 -27 -23 -10 -4 -3 -2 -1 2 5 6 6 5 8 12 18 20 17 16 16 15 10 7 8 9 7 2 -5 -6 1 7 9 7 7 9 13 9 8 9 5 5 6 9 8 7 12 18 10 3 4 4 2 5 8 9 8 8 10 6 0 3 12 12 9 3 8 7 3 3 2 3 7 8 11 13 7 1 1 5 9 1 -5 -0 8 13 15 15 11 9 15 19 20 24 19 12 10 10 9 8 8 8 8 8 8 6 4 3 3 4 5 6 6 4 6 14 24 21 11 6 8 8 7 6 5 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 5 6 6 5 4 4 4 3 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 8 8 8 8 8 9 9 8 7 6 8 10 9 7 6 6 7 6 7 8 8 8 7 6 6 3 -2 -3 0 4 7 6 2 2 4 4 5 4 4 4 5 6 7 8 9 8 7 7 7 7 7 7 8 7 8 7 7 8 7 6 6 6 6 7 7 8 7 6 5 5 5 4 4 3 3 4 5 6 7 8 8 9 11 13 11 7 5 5 5 5 5 6 7 7 6 5 4 4 5 5 5 5 4 4 5 6 7 7 7 7 7 6 3 1 2 6 9 10 9 7 6 4 1 -1 2 6 6 6 6 6 6 7 9 10 12 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 5 5 4 3 3 2 2 2 2 3 4 4 4 4 4 4 5 6 7 8 9 9 10 11 12 13 14 17 20 19 14 9 7 7 6 5 5 6 7 8 8 7 6 6 6 6 6 7 8 8 8 7 7 7 6 6 6 6 6 7 7 8 8 9 8 7 6 6 5 5 4 3 1 1 1 1 2 2 2 3 3 3 3 4 4 4 4 5 5 4 3 3 3 6 8 8 7 5 3 2 8 18 20 15 9 3 -1 -0 3 3 -1 8 24 26 16 5 0 -9 -19 -17 -10 -4 -4 -3 -2 2 5 6 7 6 7 12 19 21 16 10 9 15 17 11 7 9 13 12 7 3 0 6 12 9 5 6 7 10 8 9 9 5 3 4 8 5 6 14 10 8 6 7 4 2 4 6 5 5 7 9 6 2 5 13 11 2 -2 6 7 3 1 -1 1 4 7 12 11 3 1 3 13 19 9 -5 -4 7 14 14 15 16 16 19 20 17 14 11 9 9 9 8 7 7 8 8 8 8 6 4 2 2 4 6 6 6 4 5 13 21 18 10 6 7 8 7 6 5 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 5 7 7 5 4 4 4 4 5 5 5 5 5 6 6 5 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 8 8 9 9 9 9 10 9 8 7 7 8 10 10 9 6 6 8 7 8 8 7 6 6 6 5 5 4 2 2 4 7 5 1 3 5 5 5 5 4 4 5 6 6 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 4 4 6 5 4 4 4 4 5 6 6 6 8 9 9 11 11 11 10 9 6 5 6 6 6 7 6 6 6 4 4 4 5 5 4 4 5 5 6 6 7 8 8 6 3 0 1 5 8 10 10 10 8 5 2 -1 1 3 5 5 6 6 6 6 7 7 9 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 5 6 6 5 4 3 2 1 1 1 2 3 4 5 5 4 5 4 4 4 4 5 5 6 7 8 9 12 16 21 22 17 11 8 6 6 6 6 6 7 8 8 7 6 6 6 6 6 7 7 8 8 8 7 7 7 6 6 5 5 5 6 6 7 7 8 7 7 7 6 6 5 4 3 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 7 8 8 6 4 3 7 17 22 14 6 5 3 2 5 6 0 -4 15 25 28 20 10 6 2 -6 -6 -4 -5 -5 -3 1 5 7 8 7 6 11 19 22 17 11 8 9 13 16 12 8 10 13 12 12 14 10 10 11 6 3 3 7 9 10 8 4 1 3 7 11 7 5 10 2 3 8 6 4 4 5 6 5 6 8 8 6 4 6 11 10 -1 1 11 10 9 4 -0 1 3 6 12 9 -0 -0 7 14 17 9 -2 -1 6 9 9 12 16 18 18 17 12 9 8 8 8 7 7 7 7 7 8 9 9 6 3 2 3 5 6 6 5 3 4 9 16 19 16 9 7 7 7 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 8 6 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 5 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 10 9 8 7 7 10 11 11 11 9 7 7 8 8 7 6 5 4 4 4 4 5 4 4 5 4 2 1 3 4 5 4 4 5 5 5 6 6 7 7 8 8 7 7 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 5 4 6 7 6 4 5 6 6 6 5 5 6 7 9 9 9 10 12 14 14 11 8 7 7 6 5 6 7 7 5 4 3 4 4 5 5 5 4 5 5 7 8 8 7 4 1 1 3 6 7 9 10 10 9 5 2 1 2 3 5 7 7 6 6 7 7 7 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 7 8 8 7 6 5 5 3 2 2 1 2 4 5 5 5 4 4 4 3 3 2 3 3 4 4 4 5 8 14 17 16 13 10 8 6 5 6 5 6 6 6 6 6 5 6 6 6 6 7 8 8 7 7 7 7 7 7 6 5 5 4 5 5 6 7 7 8 7 7 7 6 5 5 4 5 5 5 6 6 6 6 7 7 7 7 7 7 6 5 5 5 5 6 7 7 7 6 5 8 15 21 17 8 3 -0 -1 5 9 7 -2 -4 16 16 16 15 0 -8 -8 -9 -9 -8 -7 -4 1 6 8 8 7 8 9 15 22 20 14 11 12 13 12 9 7 8 10 13 9 10 13 9 9 9 5 2 4 7 4 6 4 2 1 6 11 11 7 7 9 1 2 6 5 6 8 9 9 9 9 10 11 8 5 3 8 12 5 6 11 15 15 7 4 5 5 6 9 7 -0 2 8 9 2 -1 0 4 7 6 8 11 14 15 14 13 10 8 8 9 7 5 6 6 6 6 7 9 8 6 3 1 2 5 7 6 5 3 4 7 13 22 23 12 6 6 7 6 6 6 6 6 6 6 5 4 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 7 8 6 4 3 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 9 9 10 10 9 10 10 9 8 6 8 11 12 10 11 12 8 8 8 7 7 6 5 4 4 4 4 4 4 4 4 1 -2 1 4 4 4 4 4 5 5 6 6 6 7 7 8 8 8 7 6 6 6 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 5 7 8 6 5 6 7 7 7 7 6 6 7 8 9 10 9 10 14 17 17 14 10 8 6 5 5 6 6 5 4 4 4 4 5 5 5 5 4 4 6 7 7 6 5 2 1 3 5 6 7 10 11 10 9 7 4 2 1 5 6 6 7 7 6 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 9 10 10 11 11 10 9 7 5 4 3 3 3 4 4 4 4 3 4 4 3 3 2 3 3 3 2 2 2 3 6 9 12 13 12 10 8 6 5 4 4 4 4 4 4 5 5 6 6 6 7 6 6 6 6 6 7 8 8 7 6 5 4 4 4 5 6 7 7 8 8 8 8 7 6 7 6 6 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 7 7 11 16 16 10 4 1 -3 -3 2 10 12 8 -1 -2 2 4 6 6 -15 -25 -24 -19 -14 -8 -3 3 8 10 9 7 8 11 13 17 20 16 13 15 17 15 9 2 -1 4 11 11 7 7 8 5 6 9 9 5 5 4 -0 1 4 4 5 12 11 7 9 11 10 6 4 3 5 8 8 7 8 9 10 9 11 11 6 2 5 10 8 7 9 19 16 6 6 8 9 8 6 6 7 9 10 6 -6 -4 3 6 7 7 9 10 10 11 10 8 7 8 10 10 7 6 6 6 6 5 7 9 9 7 4 1 1 4 5 5 5 3 4 6 13 26 28 14 4 5 6 7 6 6 6 6 6 5 5 5 4 4 5 5 5 6 6 5 4 4 5 4 4 4 4 5 5 5 5 5 6 7 7 5 3 3 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 7 8 8 8 9 9 10 10 10 8 7 9 12 12 6 6 11 9 7 7 6 6 5 4 5 5 4 4 5 5 5 6 3 -3 0 4 4 4 4 4 5 5 6 6 7 7 7 8 8 9 7 7 6 6 6 7 7 6 6 6 6 6 7 7 7 7 8 8 8 6 7 8 8 7 6 6 7 7 8 8 7 6 5 7 9 10 10 10 12 17 21 20 15 10 7 5 3 4 4 5 5 5 5 5 5 5 6 6 4 4 4 5 5 6 5 3 2 3 4 5 6 8 10 10 10 9 8 5 2 3 4 7 9 9 7 6 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 11 11 11 12 13 12 11 10 7 6 6 5 4 4 4 3 3 3 2 2 3 3 2 3 3 3 2 2 1 2 2 4 7 10 12 12 11 8 6 5 4 4 4 3 4 4 5 6 6 6 5 5 5 5 5 5 6 8 9 8 7 6 5 4 5 5 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 7 7 7 8 10 10 9 9 12 12 6 -3 -6 -8 -7 4 12 16 14 9 4 -3 -11 0 3 -7 -19 -22 -18 -12 -5 2 7 10 11 9 7 8 14 20 18 18 18 13 11 13 14 11 6 1 -2 3 11 8 6 7 10 9 4 5 8 7 5 3 1 1 3 3 7 13 5 3 9 11 9 9 5 3 5 8 8 6 4 5 8 7 8 8 8 8 7 6 8 11 15 17 8 5 7 9 11 12 10 9 12 10 7 3 2 5 6 6 8 10 9 8 8 7 5 4 5 9 11 11 9 7 6 6 6 5 6 10 10 9 5 2 1 3 4 4 4 4 5 8 17 29 28 13 3 3 6 7 7 6 5 6 6 5 5 5 5 5 5 6 6 6 5 5 4 5 5 5 4 4 5 6 5 5 5 5 6 6 5 4 3 3 3 5 6 6 5 6 6 6 6 5 6 5 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 5 5 5 5 5 5 5 5 7 7 7 7 7 8 9 10 11 10 8 8 10 13 12 6 3 6 8 7 6 6 5 4 5 5 5 4 4 5 6 6 6 6 2 1 3 3 3 4 5 5 5 6 7 7 6 7 7 8 9 8 7 7 6 6 6 7 7 6 6 7 6 6 7 7 8 8 8 7 7 8 9 8 6 6 7 7 8 9 9 8 6 6 6 8 10 11 10 11 15 22 24 21 14 8 4 3 4 5 5 5 5 6 6 6 6 6 6 6 5 4 4 4 5 5 4 3 3 3 4 5 6 8 9 9 9 10 9 5 1 3 7 9 8 7 7 6 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 10 10 11 12 13 13 14 13 12 9 7 6 6 5 5 5 4 2 1 1 2 2 3 3 4 4 3 3 2 2 2 2 4 6 9 11 11 11 9 8 6 6 5 4 4 5 5 6 6 6 5 4 4 4 3 3 4 6 8 9 9 8 7 5 5 5 6 6 6 6 6 7 8 7 7 7 7 6 7 7 7 7 6 6 6 6 6 7 8 8 8 8 7 7 8 9 11 13 13 10 5 0 -3 -5 -5 2 11 13 13 10 9 6 -1 -5 4 9 2 3 2 4 7 11 14 14 11 9 7 9 14 22 25 19 15 15 12 10 8 5 5 6 6 4 4 7 4 3 6 13 14 8 3 1 4 4 3 5 5 2 2 8 7 1 -1 4 7 8 9 6 5 7 9 8 5 3 6 8 7 6 5 10 13 9 5 10 17 18 12 5 9 9 5 7 6 6 7 8 4 -2 -2 8 9 4 6 13 14 9 7 8 6 3 3 5 8 10 10 8 7 6 6 6 5 6 9 11 10 7 4 2 2 2 2 3 5 6 10 19 25 21 14 7 4 5 7 6 5 5 5 6 5 5 5 5 5 5 5 6 6 6 5 4 4 5 5 5 5 6 6 6 6 6 5 5 5 4 4 3 2 3 6 8 6 6 6 6 6 5 5 6 6 6 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 5 4 4 5 4 4 4 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 7 7 8 9 11 11 9 7 10 14 15 11 5 4 6 7 7 6 6 5 5 4 4 5 6 7 9 8 4 3 3 3 3 4 4 4 4 5 5 6 7 7 7 7 7 8 8 9 8 7 7 7 7 6 7 7 7 7 6 7 7 8 9 9 9 8 7 8 9 8 6 6 7 8 8 9 9 8 7 6 7 8 10 11 11 11 13 18 24 23 18 12 7 4 4 5 5 5 5 6 6 6 7 7 7 7 6 6 5 4 4 4 4 4 3 3 3 4 5 6 7 7 8 9 10 6 1 1 3 5 6 6 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 10 10 12 12 13 13 14 15 15 11 9 8 7 7 7 7 7 5 3 3 2 2 3 3 4 4 4 4 4 3 3 3 3 4 5 8 10 11 11 10 9 9 8 7 6 6 6 6 7 6 4 4 4 3 3 3 4 5 7 8 8 8 7 6 5 6 7 7 7 7 6 6 6 6 6 5 6 6 7 8 8 6 5 4 5 6 7 8 9 9 9 8 7 7 7 7 13 18 16 10 6 3 3 3 3 7 7 6 6 5 6 7 5 2 7 14 17 23 22 20 19 19 16 12 6 4 7 13 19 21 17 12 10 12 11 8 7 5 7 11 11 8 5 3 1 2 5 9 10 11 8 3 4 3 3 7 7 3 4 6 0 1 2 2 5 7 7 6 6 8 9 8 6 7 11 10 8 6 6 11 13 9 8 12 15 17 13 8 10 7 4 4 -3 1 7 6 -0 -5 -2 5 2 2 11 15 12 8 6 9 8 6 6 5 5 7 7 6 4 4 7 7 5 5 8 10 10 10 8 5 2 1 0 1 4 7 10 14 16 17 19 15 8 6 6 5 4 5 5 5 5 5 5 5 5 5 5 6 7 6 4 3 4 6 6 5 5 6 7 6 6 5 5 4 4 4 4 2 1 4 8 9 7 6 6 7 7 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 4 4 4 4 5 5 6 6 6 6 6 6 7 8 10 10 7 5 9 12 15 13 5 4 6 7 7 7 7 6 5 6 5 6 7 9 11 8 2 1 3 4 3 4 4 4 4 5 5 6 6 7 7 7 7 7 8 8 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 10 10 7 5 6 8 8 8 9 8 8 7 7 8 9 11 12 12 12 12 14 19 21 20 17 12 8 6 5 5 5 6 5 5 5 5 6 6 7 7 6 6 6 5 4 4 4 4 4 4 3 4 4 5 6 7 7 8 5 2 1 -0 1 4 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 10 11 12 12 13 13 15 14 12 10 9 9 9 9 9 9 8 8 6 5 4 3 3 4 4 4 5 5 5 5 4 3 3 4 5 7 9 11 10 10 10 9 8 7 6 6 6 7 6 5 4 3 3 4 3 4 5 6 7 8 8 7 6 5 5 6 8 9 10 9 6 5 5 4 4 4 5 7 7 7 5 4 4 6 8 8 9 10 10 9 9 9 8 6 7 9 8 6 8 7 7 6 6 4 4 5 3 1 3 8 9 6 5 11 15 17 21 23 21 17 13 8 4 2 5 12 17 18 12 8 7 8 10 8 7 8 11 14 17 14 11 7 3 2 2 5 5 6 11 13 10 8 4 4 6 5 4 7 8 0 2 5 4 4 4 5 5 6 7 8 7 9 12 13 8 7 7 8 9 8 6 8 11 11 11 12 12 8 4 7 6 3 13 15 8 -1 -3 3 6 3 4 10 12 9 4 5 9 13 14 11 7 6 7 6 4 2 3 7 8 6 5 5 7 8 10 12 11 6 1 -1 -1 3 6 7 9 11 16 19 18 16 13 7 4 5 4 4 5 5 5 5 5 5 5 5 5 6 6 4 3 5 6 6 6 6 6 7 6 6 6 5 4 4 4 3 -0 -1 4 10 11 9 7 7 7 7 6 4 5 6 5 5 4 4 4 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 4 3 3 4 4 4 5 5 5 6 6 6 6 5 6 7 10 9 5 3 6 9 12 10 6 6 8 8 7 7 7 7 6 7 7 7 8 9 10 7 2 1 4 3 4 4 4 4 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 7 8 8 8 9 9 9 8 8 9 11 9 6 6 7 9 9 8 7 6 6 7 7 9 10 11 12 13 12 12 12 15 18 19 19 18 14 10 8 7 7 7 6 5 5 4 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 6 6 6 5 2 -1 0 2 4 4 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 8 7 5 5 4 4 4 4 6 7 6 5 5 4 4 4 4 6 8 9 10 11 10 7 5 5 5 5 5 6 6 4 3 3 3 3 4 5 6 7 8 8 7 6 5 5 7 9 11 12 12 8 5 3 2 3 4 5 6 7 6 5 4 5 7 8 9 10 10 10 10 10 10 9 8 8 5 1 2 9 10 9 8 6 4 5 8 3 -2 5 14 14 8 10 18 18 14 15 14 9 4 -1 -1 1 5 12 18 18 11 7 7 9 9 10 9 7 6 11 16 18 14 13 9 5 4 2 4 5 8 11 11 12 12 10 11 11 5 4 6 7 4 4 7 7 2 2 4 3 4 7 8 6 9 14 11 5 3 5 6 7 5 3 5 5 7 6 7 9 7 5 7 -2 6 19 18 8 -3 -4 6 10 11 9 7 8 7 3 4 10 16 18 14 9 7 7 5 3 2 3 7 9 8 6 6 6 5 5 9 14 13 8 2 1 3 4 5 6 8 11 13 16 23 21 10 6 6 4 4 4 5 5 4 5 6 5 5 5 5 5 3 3 5 6 6 6 6 6 6 6 6 6 4 3 5 5 3 -2 -2 6 13 13 9 7 7 8 7 5 4 5 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 6 8 8 4 1 3 6 10 11 8 7 8 6 5 6 6 6 7 8 9 8 7 7 7 3 2 3 4 3 4 4 4 4 4 5 6 6 6 7 7 8 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 9 8 8 11 12 8 6 7 9 10 10 8 6 6 6 7 8 9 10 11 12 13 13 12 12 13 15 17 18 18 17 15 13 11 10 10 10 8 8 7 7 5 3 4 5 5 6 6 6 5 6 6 5 5 5 4 4 4 4 4 4 4 5 6 4 3 1 1 3 3 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 8 9 9 10 10 11 11 10 10 8 6 6 5 5 5 6 7 7 6 5 5 5 4 3 3 5 7 10 10 9 7 5 4 5 5 5 6 6 5 3 2 3 4 4 5 6 7 7 7 7 6 5 6 8 10 13 14 14 10 6 3 3 5 6 7 7 7 6 5 5 6 7 7 8 8 8 8 8 8 8 9 10 10 9 10 12 12 10 9 8 6 4 5 7 1 -3 7 22 27 25 22 18 9 5 5 0 -4 -6 -4 0 5 13 20 20 13 5 4 6 8 9 10 12 9 5 9 14 16 14 13 9 7 8 6 5 6 10 8 6 9 11 13 16 14 7 7 8 7 6 6 10 8 3 6 5 4 5 7 9 8 11 15 10 4 1 3 5 5 6 8 6 3 6 7 6 9 10 10 6 -5 6 17 16 9 -3 -3 6 12 15 14 8 7 5 2 5 10 16 18 15 10 7 6 5 4 4 4 7 9 9 8 8 7 5 3 4 8 12 14 11 7 5 4 3 3 5 7 8 13 20 19 10 12 14 7 4 4 5 5 4 4 5 5 5 5 5 5 4 3 5 7 7 6 6 6 6 6 6 5 3 3 4 5 2 -2 1 9 15 13 9 7 7 7 7 5 4 5 6 6 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 5 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 6 6 4 1 -0 4 10 14 11 7 8 6 5 5 5 5 7 8 8 7 6 6 4 -0 -1 2 3 3 4 4 4 5 5 5 5 6 6 7 8 9 9 9 8 8 9 9 8 7 7 7 7 7 7 7 8 8 9 10 10 9 8 9 12 11 8 7 9 11 11 10 8 6 6 6 7 7 8 9 9 10 11 12 12 11 11 13 15 17 17 17 16 16 14 13 13 15 16 15 13 10 7 5 4 4 4 4 5 6 6 6 6 5 6 6 5 4 4 4 4 4 4 4 5 5 5 3 2 2 2 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 9 10 11 11 11 10 10 9 9 9 8 7 7 8 8 8 9 9 10 11 12 10 9 7 7 6 6 6 7 7 6 6 5 5 5 4 3 3 4 6 8 7 7 6 5 5 5 5 5 6 5 4 3 3 4 5 5 6 6 7 6 6 5 6 7 8 10 12 13 14 11 7 5 6 8 9 9 9 8 7 6 6 6 6 6 5 5 5 6 6 6 7 9 11 12 13 14 15 14 11 8 6 5 3 5 5 1 -1 9 23 30 28 15 1 -5 -7 -8 -9 -7 -3 2 6 13 20 21 14 8 4 3 4 5 5 7 10 9 7 9 13 12 12 12 9 6 10 11 7 7 8 5 2 4 6 15 15 7 4 8 8 9 9 10 8 6 7 7 5 9 9 6 6 7 9 8 5 5 5 6 7 5 8 10 8 7 11 14 11 10 12 16 13 7 10 9 12 15 3 -1 5 10 14 13 9 6 4 3 6 10 15 16 14 8 4 4 5 5 6 7 9 9 9 9 8 8 7 6 4 3 6 11 15 13 7 4 3 3 4 4 5 9 13 16 15 18 19 10 4 5 5 4 4 5 5 6 6 5 6 5 4 4 5 7 6 6 6 6 6 6 5 4 3 3 3 4 1 1 6 12 14 11 9 7 7 7 7 5 4 5 6 6 5 4 4 4 4 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 6 5 2 1 1 6 13 12 8 7 7 7 6 6 5 5 6 6 5 5 5 5 0 -2 1 3 3 4 5 5 5 5 5 5 6 6 7 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 9 9 10 10 9 8 10 12 9 7 8 9 11 11 9 6 6 6 6 6 7 7 7 7 7 9 10 11 11 10 11 13 15 16 15 15 14 15 15 16 19 20 19 16 12 10 9 8 5 4 3 4 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 3 3 3 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 9 9 10 10 10 11 12 11 11 10 10 9 8 8 8 8 7 7 8 9 11 11 11 10 8 7 6 7 7 7 6 5 4 4 4 4 4 3 3 4 5 6 6 6 6 6 5 4 5 6 6 5 3 3 5 6 6 6 6 5 5 5 6 7 9 9 8 9 11 12 10 8 7 8 9 10 10 9 8 7 6 7 6 6 4 3 3 5 5 6 7 8 9 11 11 12 13 15 15 11 8 5 4 6 10 9 5 -1 9 22 20 8 -6 -17 -16 -12 -12 -6 3 7 8 12 19 20 14 9 6 5 6 5 3 3 4 6 8 6 9 13 9 8 12 9 5 11 12 6 7 7 5 3 1 4 16 13 3 2 5 5 8 12 11 5 6 8 4 6 12 13 6 3 4 5 6 7 6 7 10 10 7 8 8 6 8 14 15 8 6 10 18 17 12 8 2 7 14 3 -4 2 6 8 10 7 3 3 7 9 10 14 15 10 5 2 2 4 7 8 10 11 10 8 7 7 8 8 8 7 5 4 6 10 11 7 5 5 4 3 3 4 6 9 14 20 18 12 7 6 9 9 8 7 6 6 6 6 5 6 6 4 3 4 6 7 6 5 5 5 5 4 3 2 2 3 3 3 6 10 13 12 10 8 7 7 7 7 5 5 5 6 5 5 5 5 4 5 5 6 6 6 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 6 5 5 5 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 4 1 1 5 12 13 9 7 8 7 7 7 6 5 4 5 5 5 5 6 3 -0 0 2 3 4 5 5 5 5 4 5 6 7 8 9 10 10 10 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 10 10 8 9 11 10 7 6 6 7 8 7 7 5 5 5 5 5 5 6 6 6 5 6 7 8 9 9 10 10 11 13 14 14 15 15 14 13 17 20 19 17 15 13 12 11 9 6 5 4 4 4 5 6 6 6 6 6 6 5 5 4 4 4 4 3 4 4 5 5 4 4 4 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 11 20 14 9 6 8 10 12 8 5 5 11 17 20 20 16 9 5 9 11 15 15 16 17 18 16 6 3 6 12 17 17 14 9 8 10 12 13 12 12 12 14 16 15 15 19 20 19 19 19 20 21 18 17 15 9 8 12 16 18 17 14 12 12 13 12 11 9 8 7 8 9 8 9 12 16 19 18 10 4 4 10 15 14 13 11 9 9 10 10 10 7 6 7 8 10 10 11 12 13 14 15 14 14 13 12 11 11 10 8 8 9 11 13 13 13 13 12 12 13 14 14 13 13 11 11 11 11 12 12 12 13 13 13 14 14 14 12 13 13 12 13 14 14 14 15 14 13 15 17 17 17 16 16 14 12 12 14 14 14 14 14 13 13 13 13 12 11 12 12 13 13 12 12 13 12 12 11 11 10 12 14 14 13 12 11 10 10 11 13 15 15 15 15 15 14 14 14 14 13 13 15 15 15 14 13 13 15 22 23 21 21 21 20 20 19 17 16 15 13 13 13 15 16 16 16 15 15 15 15 16 17 18 17 16 16 15 16 15 14 12 12 13 15 15 15 15 16 17 18 18 19 18 16 14 14 14 14 14 14 14 14 13 13 13 14 14 14 13 14 13 13 13 12 11 11 11 11 10 10 10 12 11 11 11 12 12 11 11 12 13 13 13 13 12 10 10 10 10 10 10 11 12 12 13 16 18 18 16 11 8 6 6 6 6 7 7 8 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 14 15 14 13 12 12 11 11 10 10 9 9 8 8 7 8 9 9 9 9 9 10 10 10 11 12 12 12 12 12 12 11 12 12 14 17 17 14 12 13 14 15 16 15 13 11 10 10 11 11 12 13 12 13 13 13 13 13 12 12 12 13 16 16 15 14 13 12 12 11 12 12 12 13 12 13 15 17 20 23 23 19 16 14 12 10 10 9 10 11 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 14 15 15 14 13 15 17 19 20 18 13 10 11 13 14 14 12 11 12 14 14 13 14 14 14 14 14 14 14 14 15 15 16 15 15 15 14 13 11 9 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 8 7 7 15 18 19 18 15 9 8 5 7 15 14 14 16 17 14 8 8 10 13 17 17 15 11 7 5 8 10 11 12 12 13 13 13 17 20 19 16 14 14 17 18 17 14 9 6 5 9 13 16 16 15 16 18 19 15 9 6 6 6 8 8 7 6 7 10 13 15 12 9 9 13 14 13 13 12 12 13 15 16 15 10 7 7 8 9 9 10 12 13 13 13 14 14 14 13 10 10 8 6 7 8 11 13 13 13 13 13 13 13 13 13 12 11 11 10 11 12 12 12 13 13 13 14 15 13 12 14 16 16 14 13 12 13 14 14 14 13 15 17 17 16 15 13 13 12 12 13 13 14 13 13 13 13 13 13 13 12 12 11 11 12 12 12 12 13 12 12 11 11 12 14 13 13 12 10 8 7 9 16 20 17 16 15 14 14 14 13 12 13 14 16 16 15 14 13 12 14 17 18 17 18 19 19 18 17 16 15 15 14 14 14 13 15 17 17 16 15 14 14 15 17 18 17 15 14 14 14 15 15 16 15 15 15 16 16 15 15 14 16 19 20 19 17 15 14 14 14 14 13 13 13 12 13 13 14 14 14 14 14 14 14 13 13 13 12 12 12 13 13 13 13 12 13 12 12 11 11 11 12 12 13 12 12 11 10 10 10 10 11 11 12 12 13 15 17 17 14 8 5 5 5 6 7 7 7 8 8 9 9 9 9 8 8 8 9 8 8 8 8 9 10 12 13 14 14 13 12 11 11 11 11 9 9 8 8 7 7 7 8 10 10 9 9 10 10 10 11 12 12 12 12 12 12 12 13 14 16 16 15 13 12 14 14 13 10 8 5 5 7 9 11 12 13 12 12 13 12 13 13 12 11 11 12 14 17 19 18 16 14 14 13 12 12 12 12 12 13 14 16 17 18 18 16 15 13 12 12 10 10 11 12 13 13 13 13 13 13 14 14 13 13 12 11 11 12 13 13 12 12 12 13 14 15 15 14 15 13 13 15 19 22 22 17 11 10 12 14 13 12 11 12 13 14 14 12 13 15 15 15 14 14 14 14 14 14 15 16 16 16 15 13 12 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 6 1 0 11 17 19 15 13 13 17 17 11 10 11 15 16 13 10 8 9 10 10 13 14 14 13 13 13 16 17 14 12 10 12 15 18 17 14 9 6 5 7 12 14 13 11 12 15 17 15 11 9 6 7 8 9 8 8 9 9 10 11 13 10 11 13 15 15 15 15 16 17 18 19 18 14 11 10 9 9 9 11 13 14 13 13 13 14 14 12 11 11 9 7 8 8 10 11 13 13 13 13 13 13 12 11 10 10 10 11 12 13 13 13 13 13 13 15 14 12 12 13 15 15 16 15 14 14 14 14 14 15 16 17 16 15 12 10 12 13 14 13 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 12 13 13 12 12 12 11 9 6 6 12 20 22 22 19 16 15 14 13 13 12 12 14 15 16 15 15 14 13 13 12 13 15 16 17 17 17 16 15 15 15 14 14 13 14 16 17 17 16 15 13 14 15 17 17 16 14 14 13 13 16 18 17 15 15 15 15 14 13 10 9 12 16 18 18 17 16 15 14 14 14 14 14 14 14 15 16 16 16 16 16 15 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 11 12 12 12 12 13 11 11 10 10 11 11 10 11 12 13 15 16 16 14 11 7 5 5 6 7 8 8 9 8 8 8 8 8 8 8 8 7 6 6 7 8 8 7 7 8 10 12 13 12 12 11 10 11 11 11 10 9 8 7 7 8 8 9 10 10 10 9 9 9 11 12 12 12 12 13 13 13 14 13 14 15 15 15 16 16 14 11 7 4 1 3 6 9 11 11 12 12 12 12 13 13 13 13 12 11 11 13 15 19 20 16 13 12 13 14 14 13 13 13 13 13 13 13 14 14 14 13 14 13 12 12 12 12 13 13 13 13 14 13 13 13 13 14 14 12 11 10 11 14 14 15 14 13 12 13 14 14 15 15 15 14 16 17 18 21 19 13 10 10 13 13 12 12 12 12 12 13 14 14 13 14 14 14 14 14 14 15 15 14 14 15 16 16 17 15 14 14 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 19 11 8 13 13 11 8 10 11 12 10 10 10 13 13 12 12 14 15 13 15 15 13 11 7 6 7 11 14 19 19 14 10 6 4 4 7 9 7 5 4 6 10 11 11 10 8 7 6 8 10 11 11 11 11 11 12 9 11 13 14 14 14 15 17 18 15 16 16 14 12 12 11 10 11 14 15 15 14 13 12 13 13 13 13 12 11 9 9 9 9 10 12 13 13 14 13 13 11 10 10 10 11 13 14 13 13 13 13 13 13 13 12 11 11 12 14 16 16 15 14 16 14 13 15 17 18 17 15 12 10 9 12 14 14 14 13 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 11 9 7 7 10 16 22 26 25 18 15 14 14 12 12 12 13 15 15 16 16 14 13 12 12 13 14 15 15 15 17 17 17 16 16 17 16 15 16 17 17 16 16 14 13 14 16 17 17 17 16 14 12 16 18 17 15 13 13 13 14 14 12 10 10 11 13 14 16 16 15 15 14 14 15 16 16 15 16 16 16 16 16 16 15 14 13 13 13 13 12 13 13 12 11 11 11 12 11 12 13 13 13 13 13 12 11 11 10 11 11 12 12 13 14 16 16 15 12 7 5 5 6 8 9 10 10 10 8 8 7 7 6 6 6 6 6 6 6 6 7 9 8 7 8 8 8 10 12 11 11 11 11 11 11 11 10 9 8 8 7 7 7 8 9 9 9 10 10 10 11 12 13 13 14 14 15 15 14 14 15 16 17 18 18 17 15 11 9 7 9 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 13 15 17 17 14 12 13 14 14 13 13 13 13 13 13 13 13 13 14 13 13 12 13 12 12 13 14 13 12 12 13 13 13 14 14 13 13 13 11 10 12 14 15 15 14 13 12 12 12 13 14 14 15 15 16 17 17 17 20 17 11 10 12 12 10 11 12 12 11 10 11 13 15 15 14 14 14 14 14 14 15 15 15 15 15 15 16 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan 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 12 15 15 14 14 13 11 10 10 11 13 15 14 12 10 9 9 10 12 15 18 19 17 14 8 3 2 3 5 5 3 1 1 2 5 7 8 7 5 4 7 10 11 12 12 13 12 10 8 11 13 12 13 13 12 12 13 13 13 13 12 12 14 14 13 11 11 13 13 11 11 10 10 12 13 13 13 11 10 10 10 10 10 11 13 14 13 13 12 11 10 10 11 10 13 14 14 14 13 12 11 11 12 12 13 13 13 14 15 15 12 13 16 16 15 16 18 17 15 13 11 11 11 12 14 14 14 12 12 12 13 13 13 13 13 12 12 12 13 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 13 13 10 6 3 5 12 29 34 22 16 15 14 13 12 12 12 13 14 15 16 15 14 14 13 13 14 14 13 12 15 19 22 19 17 19 19 17 17 17 16 15 15 15 14 13 14 15 16 16 16 15 14 15 16 16 15 14 14 13 14 14 14 13 11 10 9 11 12 14 15 15 15 15 16 17 17 16 16 16 15 14 14 15 14 14 13 13 13 13 13 13 12 11 11 11 11 11 11 13 13 14 13 12 11 10 11 11 12 12 13 14 16 17 17 16 12 9 6 6 7 9 10 11 11 11 11 10 9 9 8 6 5 6 7 6 7 8 8 8 9 10 10 10 10 9 9 10 11 11 11 11 11 11 11 11 11 10 10 9 8 7 6 7 7 8 10 11 10 11 11 13 13 15 16 15 15 15 14 13 15 18 20 19 17 15 13 12 11 11 12 13 14 13 12 13 13 12 12 12 13 13 13 13 13 13 12 13 16 17 16 13 12 13 13 13 13 13 12 12 13 13 13 13 13 13 13 12 12 11 12 12 13 13 12 12 12 12 12 14 15 14 15 15 13 11 11 13 15 16 16 13 11 11 13 13 13 14 14 14 15 17 18 18 17 18 17 15 12 11 12 11 12 14 13 10 8 9 11 13 14 14 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 10 12 14 14 14 14 14 14 15 16 18 20 18 15 13 14 11 8 7 7 9 11 11 9 4 1 3 6 9 11 12 13 12 10 10 11 12 14 11 10 13 14 14 13 13 11 8 9 11 12 13 12 13 14 16 15 12 11 12 11 10 10 11 12 11 12 13 12 10 9 10 10 10 11 12 13 13 13 12 11 10 10 11 12 13 13 14 15 14 12 10 10 11 13 14 14 14 14 15 15 13 10 11 15 16 16 17 16 14 13 13 12 13 14 13 13 14 13 13 12 13 13 13 13 13 13 12 11 12 13 12 13 12 12 13 13 13 13 13 14 13 13 13 13 13 12 13 13 12 9 3 -2 -0 23 37 29 21 17 14 13 12 12 13 13 14 15 15 16 16 16 15 14 15 14 11 7 8 16 25 23 18 20 19 18 18 18 16 15 14 14 15 15 14 14 14 14 14 14 14 15 14 14 14 14 13 13 13 13 13 12 12 11 10 10 10 11 14 15 16 16 16 16 17 17 16 16 16 16 15 15 15 14 14 14 13 12 13 12 12 12 12 12 12 13 13 14 14 13 13 13 13 13 15 17 17 18 20 21 20 18 15 11 8 7 7 7 9 10 10 11 11 11 10 11 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 9 8 7 6 6 7 8 10 12 12 12 13 14 14 15 16 16 15 14 13 13 16 17 17 13 10 10 11 11 10 11 13 13 13 13 12 12 13 13 13 13 13 13 14 14 14 13 12 13 17 19 18 15 12 13 13 12 13 13 13 13 13 12 12 12 12 12 11 11 11 10 11 11 11 12 13 13 14 13 13 14 15 14 13 14 14 12 12 14 15 15 13 12 12 13 13 14 13 14 15 15 15 15 15 16 16 17 17 15 13 11 12 12 14 14 13 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 7 6 6 6 6 6 7 8 12 15 16 18 18 15 13 14 17 21 24 27 32 36 36 30 24 24 26 26 27 30 30 28 26 24 23 22 25 29 31 30 29 25 25 24 22 22 21 21 20 18 17 18 20 21 22 23 23 23 23 23 24 24 22 18 14 13 12 12 11 11 11 11 11 12 10 6 6 6 6 6 6 6 6 5 5 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 6 0 0 0 2 10 22 23 13 2 2 3 3 1 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 12 28 48 68 85 96 96 94 94 88 84 80 70 65 73 72 53 41 63 100 118 122 126 127 120 102 75 56 47 34 24 29 56 89 105 114 120 119 130 158 181 195 205 192 163 146 135 132 124 116 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 10 7 6 6 6 7 8 9 12 12 12 11 15 15 13 11 12 14 16 18 25 30 31 28 25 24 24 23 22 24 26 27 26 25 26 25 21 20 21 22 26 27 25 22 20 18 16 17 17 16 16 15 17 18 20 22 25 25 24 23 22 19 16 14 13 13 12 12 11 12 12 12 13 13 10 6 6 6 6 6 6 6 5 5 6 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 3 10 12 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 2 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 1 2 14 50 69 91 106 106 106 99 90 86 84 84 89 90 85 86 98 110 113 114 120 123 124 126 123 111 96 79 79 97 115 129 141 142 140 136 149 171 188 201 198 181 167 148 135 128 121 118 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 13 12 10 8 6 6 7 8 9 10 10 10 9 11 12 11 11 10 11 14 17 21 21 23 25 24 21 20 20 20 20 22 23 22 22 24 25 22 17 16 17 19 21 21 19 17 14 12 12 12 12 11 11 13 15 16 18 21 22 22 19 17 14 13 13 13 13 13 12 12 12 12 12 14 14 10 7 6 6 6 6 6 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 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 6 44 73 89 108 115 114 110 101 93 87 87 87 90 93 98 103 109 116 119 119 116 115 122 139 135 126 119 121 129 136 143 146 144 144 148 163 182 198 204 202 194 182 163 147 135 128 129 130 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 16 13 10 9 8 7 8 8 8 9 8 7 7 9 11 11 11 10 11 15 19 18 15 16 20 22 20 18 17 18 19 21 20 17 15 15 17 17 15 15 16 17 17 17 16 16 14 11 9 7 6 6 7 9 10 12 14 15 16 16 14 14 13 13 12 13 13 13 13 12 12 12 12 14 15 11 7 6 6 6 6 6 6 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 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 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 1 2 2 3 4 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 2 3 1 0 0 0 0 2 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 8 40 86 117 114 116 120 121 122 118 107 94 89 91 91 92 92 97 99 111 122 121 117 115 119 122 126 129 131 133 136 140 138 135 136 140 148 166 187 200 205 211 216 200 176 158 146 145 151 154 155 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 nan 16 15 11 9 8 8 8 8 8 7 7 6 6 6 8 10 10 10 11 14 16 14 13 13 16 20 21 19 17 17 19 21 20 15 12 12 12 13 12 14 16 17 16 14 14 15 15 12 9 7 6 5 4 5 7 9 11 12 13 13 13 13 13 12 12 12 12 13 13 13 12 12 12 13 15 14 8 6 6 6 6 6 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 4 4 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 3 14 18 4 1 21 79 121 146 134 120 116 125 129 130 123 106 94 93 94 94 92 94 94 100 111 118 119 118 118 116 118 121 126 130 133 135 133 130 131 137 148 164 180 188 192 204 209 193 175 163 156 160 168 172 168 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 nan nan 14 15 14 11 9 8 7 7 6 6 7 7 6 5 6 8 10 10 10 11 11 11 10 11 13 17 19 19 18 17 17 18 19 17 13 12 12 11 10 11 12 13 13 13 13 14 14 12 10 8 6 5 5 5 5 6 8 11 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 13 15 11 6 6 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 5 6 6 6 6 6 5 2 0 0 0 0 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 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 1 4 6 7 10 7 2 0 0 0 0 0 4 7 6 3 4 10 11 9 5 3 11 37 44 26 17 48 89 122 141 142 127 114 118 129 139 134 119 103 96 98 103 103 99 96 97 100 108 114 115 115 116 118 118 120 122 124 128 132 130 132 138 147 157 166 174 183 197 196 179 167 162 153 158 165 165 162 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 11 14 14 14 12 9 7 5 5 5 5 6 7 6 6 8 10 12 12 12 10 8 9 10 12 13 14 15 16 16 16 17 18 18 16 14 14 13 11 10 10 10 10 11 11 11 11 12 12 10 8 6 6 6 6 6 6 8 9 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 14 13 7 6 6 6 6 5 5 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 5 6 7 7 7 7 6 6 6 4 2 1 1 1 4 6 5 2 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 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 1 2 3 4 6 10 8 3 1 0 0 0 1 7 19 20 16 11 19 38 42 40 29 35 54 60 61 57 76 88 109 130 140 137 119 111 121 138 142 132 115 101 102 109 111 106 101 98 96 99 105 109 110 112 116 118 118 117 117 121 126 128 132 140 147 150 157 173 188 199 192 177 168 160 150 150 154 156 153 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 10 12 13 14 13 11 8 6 5 4 4 5 6 7 7 9 12 14 16 16 16 16 14 13 14 13 11 11 12 13 16 17 18 17 16 14 14 14 14 12 11 10 10 10 10 9 9 10 11 10 9 7 6 6 6 6 6 6 7 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 11 8 6 5 5 5 5 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 6 7 6 5 4 3 2 2 4 4 4 4 3 4 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 1 1 0 0 1 3 1 0 1 0 0 0 0 2 17 30 35 28 30 50 57 63 59 70 66 68 73 76 80 87 102 120 133 137 125 108 107 120 134 136 127 114 108 112 114 110 107 102 98 96 98 101 103 103 108 115 117 116 116 118 121 124 133 147 156 158 166 183 200 207 198 185 175 166 155 146 146 149 149 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 10 11 11 11 12 11 10 8 6 5 4 4 5 6 7 8 9 12 15 18 20 20 18 16 15 14 12 10 9 10 13 16 17 16 13 12 12 14 14 14 13 12 11 10 9 8 7 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 10 10 10 10 10 8 7 5 5 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 6 3 2 1 0 0 0 1 4 4 4 4 2 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 36 55 59 58 61 61 63 65 68 72 76 81 87 90 95 103 113 123 130 129 119 106 102 110 121 129 125 116 115 114 111 110 107 102 97 93 94 97 96 99 108 114 116 118 118 118 123 135 152 165 173 184 200 214 216 205 190 181 173 163 152 146 146 146 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 8 10 10 10 9 9 9 9 7 5 3 1 1 3 4 5 6 8 11 14 18 21 20 19 16 15 13 11 10 10 12 15 16 14 12 10 10 12 14 15 16 16 14 11 9 7 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 7 7 7 6 6 6 5 5 5 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 3 0 0 0 0 0 0 1 3 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 44 74 90 91 83 71 71 75 78 83 88 97 107 111 111 111 114 119 124 128 133 124 108 102 108 118 124 119 117 114 111 111 111 108 102 94 90 92 93 95 101 107 114 119 119 118 123 135 153 169 182 198 214 220 213 198 184 177 175 171 160 148 144 144 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 1 4 7 8 7 6 5 6 7 6 4 1 0 0 0 1 2 4 6 7 9 12 16 18 19 18 16 15 14 13 14 15 18 17 14 12 10 8 10 12 14 17 19 17 12 9 7 6 5 4 4 3 1 1 2 2 2 2 2 3 4 4 5 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 2 4 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 2 0 0 0 0 0 0 0 9 31 59 86 102 104 98 90 86 88 90 95 100 107 116 125 130 131 129 129 128 129 136 141 134 123 125 128 125 122 120 117 113 112 113 112 108 100 93 89 91 95 98 102 110 117 120 119 123 133 148 163 177 196 212 216 207 189 175 169 175 177 165 148 142 139 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 1 2 3 2 2 1 2 1 1 1 0 0 0 0 0 1 2 4 5 6 7 9 13 16 17 18 17 17 17 16 16 17 17 16 13 12 11 11 11 12 14 16 16 12 9 8 7 6 5 3 2 0 0 0 0 0 0 0 1 1 2 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 6 6 7 8 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 6 10 3 0 1 0 0 0 8 27 54 78 94 100 102 102 101 101 104 107 110 111 112 118 128 136 142 146 146 144 143 142 146 151 144 140 138 139 131 127 124 118 113 112 114 113 108 100 93 91 96 100 102 107 113 116 118 122 131 144 157 168 183 198 206 203 192 176 168 173 175 165 149 140 134 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 7 10 14 16 18 18 18 18 17 16 16 17 17 17 16 14 12 11 11 12 12 11 10 8 7 6 5 4 3 1 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 4 4 4 4 4 4 4 4 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 8 6 5 7 8 10 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 7 21 11 2 5 7 4 2 18 49 76 94 100 100 104 109 114 116 119 123 124 120 116 116 123 134 144 153 152 151 155 154 152 154 149 141 138 140 138 134 130 125 118 114 113 115 115 110 102 95 94 101 106 106 109 112 116 122 131 141 153 161 168 179 190 194 191 182 172 170 171 165 151 139 133 129 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 5 6 8 11 14 16 17 18 18 17 16 16 16 17 17 16 14 13 11 11 11 10 9 9 8 7 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 3 9 12 12 7 6 7 9 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 9 24 27 16 11 15 15 16 33 62 94 109 105 103 111 116 121 127 130 132 132 126 119 116 118 126 138 149 150 149 153 158 156 153 149 142 136 137 138 135 131 127 124 119 114 114 118 116 113 106 94 97 106 107 109 112 116 122 131 139 146 152 155 162 170 178 182 178 169 163 164 163 153 141 134 129 126 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 4 4 5 7 10 13 15 16 16 16 15 14 14 15 16 15 14 12 12 11 10 9 9 9 8 7 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1 5 10 13 13 11 9 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 23 42 34 16 16 22 24 36 68 112 128 112 106 112 115 119 127 131 132 131 126 119 116 115 117 127 142 147 146 148 153 153 150 147 141 134 134 134 129 128 127 123 121 117 112 115 116 119 117 104 97 102 108 112 115 118 123 129 136 138 138 141 146 153 160 166 167 161 154 152 153 148 138 130 124 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 5 4 3 3 4 7 9 11 12 14 14 14 12 12 13 14 13 13 12 11 10 9 9 9 8 8 8 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 1 3 5 6 5 2 0 0 1 6 10 11 10 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 4 24 54 50 25 21 26 29 34 69 125 136 113 105 106 105 109 118 123 126 125 122 117 114 110 108 113 128 142 147 149 151 151 149 145 139 133 130 127 124 126 127 123 119 117 110 104 107 116 120 115 104 102 106 111 116 119 122 127 131 130 126 126 130 135 140 148 153 151 142 136 136 135 128 120 112 104 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 5 4 3 2 3 4 5 6 8 11 13 13 12 12 12 12 12 11 11 10 9 8 8 8 8 8 7 7 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 2 0 1 2 3 4 5 6 5 2 0 0 0 5 9 9 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 3 20 50 56 34 24 30 34 41 78 122 130 112 102 98 95 99 106 113 117 118 117 115 111 105 100 101 110 126 142 150 151 151 150 144 138 133 130 126 124 126 127 124 118 114 109 100 99 109 119 120 112 107 107 110 113 117 121 125 127 123 114 112 116 119 122 129 138 137 127 120 118 117 113 106 96 88 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 3 2 2 3 4 6 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 4 4 3 3 3 4 6 10 13 14 13 12 12 12 11 10 9 8 8 7 7 7 7 7 6 6 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 5 6 6 6 6 6 5 5 5 5 5 3 0 0 0 3 6 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 1 11 41 58 41 29 36 41 56 91 124 126 109 97 92 87 88 94 99 103 105 106 106 103 97 93 90 91 102 121 139 145 146 145 139 135 134 131 129 127 128 128 125 119 114 110 104 102 109 120 124 120 114 112 111 111 115 122 127 127 119 108 103 105 106 109 115 121 119 110 101 98 98 96 89 78 69 64 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 8 7 6 6 6 6 6 6 8 10 11 11 8 4 2 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 8 9 8 7 6 5 3 3 4 8 12 14 14 14 13 12 10 8 8 7 6 6 6 6 6 6 6 6 6 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 1 4 9 10 9 8 8 8 7 6 4 4 4 4 4 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 7 35 54 49 40 44 49 61 94 122 122 105 93 88 82 79 80 82 83 85 88 90 90 90 89 85 81 83 94 110 124 132 136 134 132 131 131 132 131 131 131 129 126 121 115 111 108 109 122 128 123 116 117 116 114 115 124 130 129 121 110 103 100 98 98 101 106 105 94 83 77 77 77 72 62 52 45 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 7 7 8 8 8 7 7 7 8 10 11 10 9 7 4 2 2 2 3 1 1 0 0 0 0 1 2 4 4 7 10 12 12 12 10 8 4 3 4 8 12 15 15 14 12 10 8 7 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 1 4 8 12 11 10 9 9 8 7 6 5 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 10 4 0 0 0 0 0 0 4 22 45 53 50 51 56 65 87 110 113 100 88 86 80 74 70 69 68 68 71 74 76 81 85 84 79 78 80 85 94 108 121 128 132 132 131 131 131 130 133 135 136 134 128 122 117 113 122 128 123 116 118 120 116 114 119 129 132 125 112 103 99 96 92 92 96 94 83 69 62 62 64 62 52 38 28 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 3 4 5 6 7 7 6 6 6 7 9 9 9 9 8 6 5 6 8 8 6 4 2 0 0 1 2 3 4 5 9 12 13 13 13 11 9 6 5 6 10 13 15 14 13 11 9 6 5 5 5 5 5 5 5 5 5 6 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 2 9 11 12 10 9 9 9 8 7 6 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 1 2 3 7 12 19 19 8 1 0 0 1 1 0 1 13 37 53 58 58 61 67 79 97 104 93 83 82 77 69 64 63 62 60 60 61 65 70 74 75 74 74 76 75 73 79 93 108 121 130 131 129 128 127 129 133 140 141 140 135 126 117 120 127 125 119 118 120 117 110 110 121 131 128 114 101 95 93 90 88 89 86 75 60 50 53 58 56 45 32 21 nan nan nan 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 2 1 2 3 4 5 5 4 4 4 4 4 6 7 8 8 7 7 8 10 10 8 7 4 3 2 1 2 3 4 6 9 10 11 12 12 11 10 9 8 9 10 13 13 13 11 9 6 5 4 4 3 4 4 3 3 4 5 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 8 11 10 8 8 8 9 9 8 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 2 6 9 10 13 18 22 19 10 3 1 0 2 2 1 2 14 34 51 60 64 67 71 80 96 105 93 82 79 73 64 60 62 63 60 57 56 58 59 60 59 59 61 64 66 64 62 66 77 93 111 125 128 128 125 121 120 129 135 140 141 132 121 117 125 128 125 124 124 119 111 106 110 120 126 118 102 90 86 84 85 86 81 73 60 50 51 53 50 41 30 18 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 10 8 4 2 2 2 2 2 2 2 1 0 1 1 1 2 4 5 6 7 8 9 10 10 10 8 6 4 3 3 3 4 5 7 9 10 10 11 12 13 13 11 10 10 11 11 11 11 9 7 4 3 3 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 8 12 11 9 6 5 7 9 9 8 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 6 13 15 16 16 19 23 19 9 4 1 0 4 11 12 7 10 28 48 60 67 71 78 87 104 116 104 87 79 71 63 60 62 65 63 58 55 54 53 49 45 42 41 42 43 45 47 47 51 62 81 104 122 127 125 113 106 107 116 128 136 133 125 121 124 127 131 134 135 131 122 113 109 111 123 122 107 90 81 78 81 88 87 83 75 66 61 57 50 42 31 17 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 8 7 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 9 10 10 10 9 7 6 4 5 5 5 6 7 8 10 11 12 13 14 13 12 11 10 10 10 10 9 8 6 4 3 3 2 2 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 9 12 11 9 6 5 6 8 8 9 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 6 14 16 16 15 17 20 18 11 4 1 1 8 23 25 12 7 20 46 59 67 68 77 92 110 123 118 98 84 72 64 61 62 64 64 60 57 55 53 48 41 34 29 27 24 23 28 30 32 38 53 75 102 118 120 105 93 90 95 107 120 128 128 126 123 123 130 137 138 136 133 128 121 118 124 124 113 96 84 79 82 91 99 98 95 93 88 75 62 50 36 20 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 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 9 10 11 10 8 7 6 5 5 6 7 7 7 9 11 12 14 14 13 12 12 11 11 10 10 9 8 7 6 5 4 4 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 11 11 9 8 6 7 8 9 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 2 8 14 15 14 14 16 18 18 14 6 1 3 14 30 34 22 11 13 38 56 63 62 67 84 102 117 123 110 90 75 68 63 61 62 63 62 59 58 56 51 45 37 29 23 18 14 10 11 12 15 29 50 76 100 107 92 77 73 78 87 102 119 128 132 128 120 123 130 130 126 129 137 137 134 135 133 121 105 92 84 85 95 104 106 105 105 105 100 84 65 46 26 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 6 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 8 8 10 11 9 7 6 5 5 5 6 7 8 8 10 12 14 14 13 12 12 12 12 11 11 10 9 8 8 7 6 5 5 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 11 10 9 8 9 10 9 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 12 12 13 15 19 23 18 11 8 10 22 35 38 28 13 10 23 45 54 56 57 65 84 107 120 115 99 84 78 73 67 64 63 61 59 58 56 53 48 41 33 25 16 3 0 1 1 2 7 23 51 78 87 76 61 58 63 71 85 105 122 134 137 128 121 122 120 115 123 138 148 148 144 140 128 112 97 88 89 99 107 108 108 112 115 112 94 74 57 36 16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 6 8 8 7 6 6 5 4 5 5 6 6 8 10 12 14 13 12 11 11 11 11 11 10 10 9 8 7 6 6 5 6 6 7 7 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 9 10 10 10 10 9 8 6 3 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 3 5 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 1 4 4 2 0 0 0 1 5 10 10 8 8 12 18 32 32 26 24 26 33 33 34 23 14 5 11 30 43 47 46 50 66 93 114 114 106 96 92 86 78 71 68 64 59 55 52 50 46 40 34 26 18 7 1 0 0 0 0 7 27 54 69 63 52 50 54 58 67 88 112 131 143 134 125 121 117 111 120 135 148 154 148 138 129 112 93 84 87 100 106 107 110 115 115 106 87 70 56 42 26 19 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 16 14 12 10 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 6 7 6 5 5 5 4 3 3 3 3 5 7 10 12 12 12 12 11 11 11 10 10 10 11 11 9 8 7 6 7 7 8 8 8 7 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 7 8 8 8 8 7 6 3 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 2 4 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 1 7 10 4 0 0 0 1 4 8 8 5 2 7 13 27 40 45 45 45 42 32 25 18 11 3 4 17 28 35 38 43 55 79 104 110 106 98 93 89 81 76 73 70 64 54 48 44 40 36 32 25 17 9 2 0 0 0 0 2 10 32 54 54 47 52 57 56 59 74 99 123 137 134 126 122 118 115 117 126 137 145 148 137 128 107 86 77 79 88 100 108 114 116 107 89 72 60 51 43 35 28 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 22 20 19 17 14 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 5 6 5 3 3 3 2 1 1 1 2 3 5 7 9 10 11 10 10 11 11 11 10 11 12 12 11 10 9 8 7 8 8 9 9 8 7 6 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 6 6 6 6 6 5 4 2 1 1 0 0 0 0 0 1 2 1 2 2 2 2 2 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 9 12 8 2 0 0 0 2 5 7 5 0 1 4 17 33 43 50 53 45 35 24 15 8 2 4 11 18 23 27 33 42 61 86 100 102 93 83 72 63 62 63 63 58 48 40 36 33 30 28 24 17 8 2 0 0 0 0 0 1 17 38 41 41 54 67 68 64 68 85 109 127 130 127 125 121 116 116 125 130 130 137 132 125 104 87 79 76 80 94 109 118 118 104 82 66 58 51 43 38 34 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 20 21 22 23 21 18 15 14 12 7 3 1 0 0 0 0 0 0 0 0 2 3 4 4 4 4 4 6 6 4 1 0 0 0 0 0 0 1 2 3 4 6 8 9 8 6 7 9 11 11 13 15 16 14 12 10 9 8 8 9 9 10 9 9 8 8 7 6 5 4 3 2 1 1 0 0 0 0 0 1 2 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 5 6 6 6 7 8 8 7 5 3 3 2 0 0 0 0 1 2 2 2 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 0 0 0 0 0 0 0 0 0 1 6 13 16 13 8 2 0 0 0 3 6 6 2 1 2 13 26 33 40 45 42 36 26 16 8 5 9 13 18 22 8 6 29 42 64 80 88 87 76 58 45 40 42 44 40 33 31 31 28 25 22 21 16 8 2 0 0 0 0 0 0 9 24 27 30 49 72 81 75 69 74 95 120 130 130 129 124 115 113 123 128 126 123 120 114 101 90 85 82 84 97 113 120 119 103 83 71 64 56 46 38 34 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 14 18 21 23 21 18 16 15 16 14 10 7 4 2 0 0 0 0 0 1 3 4 5 5 4 4 5 7 10 6 2 0 0 0 0 0 0 1 2 2 3 4 6 7 6 4 3 5 8 10 10 12 14 16 15 14 12 12 11 10 10 10 10 9 9 9 8 8 8 7 6 5 4 3 2 1 0 0 0 0 2 3 4 4 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 4 6 6 8 9 9 8 7 5 4 4 4 2 0 0 0 0 1 1 2 2 2 2 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 2 3 4 7 9 6 4 2 0 0 0 0 0 0 0 1 7 17 20 18 14 7 0 0 1 2 5 7 6 5 3 12 23 30 36 41 42 36 26 19 15 13 14 18 24 27 8 0 17 32 46 57 65 72 74 66 53 43 39 37 33 30 30 32 31 24 17 16 15 10 2 0 0 0 0 0 0 3 15 18 18 36 66 83 83 76 73 86 113 130 134 133 124 117 115 119 127 129 120 108 102 95 90 89 88 94 107 119 123 121 105 86 77 70 60 52 43 38 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
3 9 13 15 15 14 12 13 14 16 17 16 14 12 8 3 1 0 0 0 1 3 5 5 5 5 4 5 9 13 11 3 0 0 0 0 0 0 1 1 1 1 3 5 6 6 5 4 4 7 8 8 7 8 11 14 16 16 14 13 12 12 11 11 10 10 10 9 9 9 9 8 8 7 6 4 2 1 0 0 1 2 3 4 4 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 6 7 8 9 8 8 6 5 4 4 3 1 0 0 0 0 1 1 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 1 4 5 6 6 7 7 6 5 7 12 18 21 18 13 8 3 0 0 0 0 0 0 1 6 18 24 24 18 14 9 4 5 3 6 8 8 8 8 10 20 30 38 46 52 50 37 22 18 15 14 19 24 22 11 1 7 23 34 40 42 48 58 66 68 66 62 57 48 39 37 40 38 29 16 12 14 13 4 1 0 0 0 0 0 2 9 14 14 24 49 74 88 87 78 83 109 132 140 138 125 116 112 115 126 135 129 111 96 89 89 88 88 94 106 119 125 120 104 87 76 67 57 49 46 45 45 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
6 9 11 11 9 9 10 12 14 16 17 17 17 16 13 8 6 4 2 1 1 2 3 5 7 6 5 5 9 14 15 7 2 0 0 0 0 1 2 0 0 0 1 3 4 6 7 7 9 11 12 11 7 5 6 9 12 15 14 13 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 8 5 3 2 2 3 3 4 4 5 5 5 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 5 7 8 8 8 8 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 1 0 0 2 2 4 8 8 8 8 9 10 16 21 21 22 25 27 27 26 22 15 6 0 0 0 0 0 0 5 15 27 34 28 21 16 14 13 9 8 8 8 9 9 10 17 30 41 53 62 64 52 30 19 12 11 15 20 19 12 3 2 18 30 33 28 22 26 39 56 69 76 79 76 66 56 52 48 37 22 13 11 10 5 1 0 0 0 0 0 1 6 13 13 16 34 65 94 104 92 88 110 135 146 143 129 116 109 111 124 136 133 120 107 92 94 96 88 88 100 114 122 115 100 85 74 62 48 41 42 46 50 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
9 11 12 11 11 11 11 13 14 15 15 15 16 16 14 13 12 11 10 7 3 0 0 5 11 12 9 6 8 13 15 11 6 2 1 0 0 1 1 0 0 0 0 2 4 6 7 10 15 19 21 19 14 10 8 7 8 9 10 11 11 10 10 12 13 13 12 12 11 10 10 8 8 9 10 10 8 6 4 4 4 4 5 5 5 5 5 4 3 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 8 8 8 6 5 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 2 3 2 4 9 9 8 9 10 11 17 24 27 27 28 29 31 33 34 32 21 4 0 0 0 0 0 2 11 26 39 41 36 27 20 17 15 12 9 6 5 6 8 13 27 42 55 64 69 64 50 34 20 13 12 14 15 11 5 7 16 27 32 29 19 10 10 21 39 56 72 80 83 80 67 56 45 32 18 9 6 4 2 0 0 0 0 0 0 4 14 16 14 29 62 96 117 117 111 119 140 153 148 130 114 106 107 118 133 139 136 125 111 113 113 106 101 105 114 120 116 103 89 77 62 44 32 33 41 50 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 12 12 13 13 13 14 14 13 11 10 10 11 11 12 13 14 16 17 14 8 2 1 7 16 22 15 9 8 11 14 13 10 6 3 1 0 0 0 0 0 0 0 0 2 4 6 10 16 22 27 28 26 21 17 13 10 7 7 8 9 9 10 11 12 12 11 12 13 12 10 8 7 8 9 10 9 6 5 4 5 4 4 4 4 5 5 4 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 6 6 6 6 4 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 2 2 2 4 10 11 9 10 10 11 13 16 21 25 26 27 29 30 34 37 34 21 9 2 1 0 0 0 7 22 40 46 44 37 27 21 18 16 14 9 2 1 2 7 19 39 51 60 67 69 60 49 36 24 18 16 13 10 8 6 11 21 27 29 26 15 1 2 10 25 41 56 68 73 65 56 48 40 26 11 5 4 3 0 0 0 0 0 0 1 11 19 22 35 61 91 120 138 142 144 153 157 142 120 106 103 106 114 124 132 136 136 135 134 134 130 124 121 122 126 124 115 104 89 70 47 32 29 33 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 12 12 12 13 15 15 14 11 9 7 6 6 7 10 12 14 16 19 18 10 3 2 8 21 34 25 10 7 9 13 15 14 10 6 2 0 0 0 0 0 0 0 0 1 3 4 6 9 14 20 22 22 21 20 18 16 12 10 9 9 9 9 9 9 8 7 9 12 13 10 8 8 8 9 9 8 6 5 5 5 4 4 4 4 4 4 4 3 2 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 6 5 5 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 2 6 11 14 13 12 13 13 14 14 15 17 18 18 19 22 26 32 36 33 22 13 5 1 0 0 4 17 37 47 44 38 36 29 19 16 17 20 12 2 0 0 12 30 44 53 59 62 62 58 51 39 30 26 24 21 14 11 11 15 18 21 23 22 3 0 0 6 13 27 40 46 47 46 44 42 33 18 7 4 3 2 0 0 0 0 0 1 8 21 30 39 55 76 104 134 149 152 149 140 119 102 94 99 109 113 116 121 126 131 135 138 143 149 148 143 140 139 136 129 119 104 79 54 38 32 33 40 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
19 15 13 12 15 19 19 17 14 12 10 8 7 8 10 11 13 16 19 19 13 6 4 8 20 38 37 19 8 6 10 14 16 14 8 2 0 0 0 0 0 0 0 0 0 1 3 4 5 7 10 12 16 19 20 20 18 16 13 11 10 9 8 8 7 6 5 6 10 13 11 9 9 9 8 7 6 7 7 7 6 4 4 4 3 3 4 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 9 8 7 6 5 5 5 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 1 1 2 2 2 5 11 15 16 15 14 14 15 15 16 16 14 12 11 13 18 24 32 36 30 21 11 2 0 0 3 15 36 49 41 31 33 33 22 12 13 20 22 16 7 1 6 17 32 43 48 50 54 60 61 54 43 36 35 35 31 24 20 16 14 14 16 17 9 2 0 1 2 8 17 26 32 35 37 37 34 21 8 4 4 3 0 0 0 0 0 0 4 18 34 44 50 58 72 93 108 112 106 95 82 69 67 75 89 102 110 114 118 120 124 129 138 148 154 156 149 142 151 145 131 112 85 61 46 38 36 40 44 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
31 26 20 17 20 23 25 26 26 22 18 14 12 11 11 11 13 15 17 17 15 9 6 7 13 36 47 32 14 5 7 12 16 14 10 4 0 0 0 1 1 0 0 0 0 0 1 2 3 4 7 8 10 14 18 20 21 22 20 17 14 12 10 9 7 7 6 7 8 10 10 9 8 8 7 6 7 8 10 10 9 8 6 4 4 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 9 9 8 7 6 5 5 5 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 1 2 2 2 4 9 14 16 16 15 15 15 15 15 14 12 9 8 7 9 16 24 32 34 26 13 3 0 0 2 15 40 53 38 23 30 38 30 14 9 10 12 20 17 5 3 6 19 32 38 41 46 58 67 65 54 44 41 41 39 35 29 23 17 14 13 12 10 3 0 0 0 1 3 8 17 23 27 27 25 16 9 6 4 3 1 0 0 0 0 0 2 10 28 48 57 53 50 54 52 56 58 53 47 38 30 32 47 67 85 99 110 111 110 112 120 132 135 138 126 120 127 138 135 114 86 64 50 41 36 37 41 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
40 37 31 25 22 23 25 26 26 25 24 22 19 16 13 12 12 13 14 14 14 13 10 8 8 28 50 46 23 7 4 10 15 14 9 4 2 0 2 4 2 0 0 0 0 0 0 0 2 4 7 8 8 10 14 17 19 22 24 25 23 18 14 11 9 8 8 8 7 6 6 6 5 6 6 8 9 10 9 8 8 8 8 7 5 4 3 3 3 3 3 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 10 9 8 7 6 6 5 5 5 5 5 4 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 6 10 13 14 14 14 14 12 11 9 7 5 4 4 4 9 16 26 35 31 16 3 0 0 2 15 40 55 36 22 35 47 45 31 23 19 15 22 25 18 16 14 20 30 36 37 41 53 67 71 60 50 45 46 45 42 36 30 24 18 15 12 10 6 3 1 0 0 0 1 6 13 17 16 12 9 8 8 6 3 1 0 0 0 0 0 0 2 10 40 65 65 56 48 41 37 40 38 34 26 20 19 24 35 50 69 84 88 86 88 96 105 108 105 94 96 108 124 134 113 81 63 53 43 35 33 36 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
34 38 39 37 32 28 26 24 24 24 25 25 24 21 19 16 14 12 12 12 12 13 12 9 7 17 42 55 36 13 4 8 16 15 10 6 4 5 7 8 6 1 0 0 0 0 0 0 2 5 8 9 8 9 12 15 16 16 18 23 27 25 21 17 13 11 10 9 7 5 4 4 4 6 9 10 10 7 6 6 6 6 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 6 5 5 5 6 6 6 5 6 6 4 3 1 0 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 4 7 8 8 8 7 6 5 4 3 2 1 1 1 3 7 19 34 38 25 8 0 0 2 14 38 54 37 25 40 55 59 54 47 42 41 44 46 46 45 44 47 52 51 44 41 46 58 68 66 56 48 48 47 44 40 36 30 25 20 15 13 12 10 6 2 0 0 0 1 3 7 9 8 8 8 8 7 4 2 0 0 0 0 0 0 0 0 16 45 68 75 68 56 46 41 37 31 23 16 17 21 27 37 50 57 57 57 60 64 70 74 76 76 86 112 146 154 118 78 62 58 48 38 32 31 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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7 14 23 34 40 43 45 43 38 35 36 38 38 38 34 29 25 23 22 21 20 16 12 8 3 4 16 38 52 45 24 14 26 41 41 32 23 20 17 16 14 10 4 1 1 1 3 5 6 8 10 11 11 11 13 18 23 23 20 16 16 20 27 31 27 19 12 8 8 9 9 8 7 8 7 6 4 4 4 4 4 5 5 5 5 5 5 3 2 2 3 3 3 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 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 2 3 4 3 3 3 3 2 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 20 14 4 6 11 23 42 62 44 35 36 38 41 46 49 49 50 61 74 76 68 59 60 64 76 90 78 71 67 67 67 66 60 49 42 40 40 42 41 38 35 32 30 29 27 24 20 15 7 3 2 1 1 2 8 15 18 18 19 16 7 3 0 0 0 0 0 0 0 0 1 12 36 62 76 81 73 61 46 30 21 17 21 28 36 41 41 37 35 34 33 32 33 34 33 40 67 103 134 136 112 86 79 76 61 40 27 24 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
3 6 11 18 27 34 38 40 38 37 44 52 58 58 53 42 31 26 24 24 24 23 19 13 5 1 5 24 46 55 48 44 49 54 55 51 44 35 26 22 16 12 9 6 4 3 5 6 6 8 12 12 13 13 13 17 23 26 24 20 15 15 19 26 29 24 16 10 8 10 11 9 8 7 6 5 4 4 4 4 3 4 4 5 5 5 5 4 2 1 2 2 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 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 1 1 1 1 2 2 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 2 4 3 2 5 12 25 42 61 57 45 37 33 32 33 34 32 28 27 31 35 32 31 33 36 44 57 63 69 74 77 81 84 80 67 51 41 39 45 48 47 46 44 43 43 42 37 31 25 19 14 9 6 3 1 3 8 21 29 37 37 18 7 2 0 0 0 0 0 0 0 0 1 8 22 39 63 80 84 75 59 46 33 30 32 34 36 38 38 39 41 39 36 33 33 31 33 52 78 107 127 123 104 91 86 76 55 33 27 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
8 7 9 11 15 19 22 25 27 28 34 44 53 59 65 61 47 33 27 26 26 27 26 20 11 2 0 9 30 49 56 56 53 51 49 50 49 44 36 30 23 20 20 18 14 9 6 6 6 9 12 13 13 12 12 14 20 25 26 23 17 13 14 20 27 28 22 14 9 10 11 11 8 6 4 4 4 4 4 4 4 3 4 4 5 5 5 5 3 1 0 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 8 21 37 58 67 54 41 35 30 28 26 20 10 2 4 9 11 10 12 15 24 32 38 43 50 61 73 87 98 96 80 60 50 53 57 56 55 54 56 57 57 53 46 36 28 23 19 14 8 4 1 1 8 18 35 46 38 21 8 3 1 0 0 0 0 0 0 0 0 2 6 24 54 80 91 88 79 68 57 50 44 39 36 36 40 50 53 53 48 42 36 34 45 67 93 116 125 117 104 90 86 71 49 40 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
16 15 14 12 12 11 10 10 12 13 16 19 24 36 51 68 76 67 49 37 30 28 28 26 19 10 3 2 12 30 40 39 42 41 40 42 45 46 41 36 33 34 35 35 30 22 12 7 6 8 10 10 9 8 9 12 16 20 23 23 18 13 11 14 21 27 26 19 12 11 13 14 11 7 4 3 3 4 4 5 6 5 4 4 4 5 5 5 5 3 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 3 1 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 6 16 31 53 67 57 43 37 31 26 24 18 7 3 0 0 2 2 4 6 8 16 24 28 31 37 49 66 83 94 100 94 73 69 66 64 60 56 59 63 64 63 58 50 40 32 26 20 14 10 8 9 5 5 14 32 46 39 19 6 2 0 0 0 0 0 0 0 0 0 0 6 25 53 82 102 110 108 101 92 79 62 45 39 44 57 67 72 72 63 50 42 43 59 87 113 125 124 117 102 92 82 67 56 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
20 20 19 16 13 11 8 6 4 4 5 6 8 15 25 42 66 79 75 60 44 34 32 30 26 19 10 4 4 12 24 33 35 36 38 40 42 43 41 39 39 40 40 40 38 34 24 12 8 7 8 8 6 4 6 10 13 16 20 22 19 13 10 11 16 22 26 23 17 14 16 16 15 12 7 4 3 3 4 6 12 12 7 4 4 4 4 4 5 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 5 5 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 28 47 58 51 39 33 27 22 20 16 8 4 2 2 2 3 4 4 5 8 13 18 23 27 35 48 63 72 84 100 100 90 80 75 68 62 59 62 62 61 62 60 52 41 31 24 18 16 19 29 26 11 4 15 36 48 36 16 5 1 0 0 0 0 0 0 0 0 0 1 9 27 58 97 125 135 135 136 125 110 94 77 72 73 77 85 90 84 70 56 47 54 82 113 122 123 124 117 104 91 80 69 63 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
21 20 19 17 15 13 10 8 4 1 1 2 3 6 9 16 30 54 74 78 69 56 48 40 33 26 20 12 5 4 8 14 19 25 32 37 39 38 38 38 38 38 36 34 32 31 33 28 19 12 11 9 6 3 5 8 11 15 21 24 20 14 10 10 12 16 22 24 23 22 19 17 16 16 15 9 4 3 3 4 12 20 16 8 5 4 4 4 4 5 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 6 5 6 8 10 10 9 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 3 9 16 25 40 52 46 31 23 17 13 10 8 5 3 2 2 2 3 4 4 5 6 7 10 14 18 26 39 51 58 65 80 98 101 95 92 86 75 67 66 58 52 55 61 57 45 32 24 20 19 22 34 39 29 17 15 25 42 48 34 14 4 1 0 0 0 0 0 0 0 0 0 2 12 35 75 109 125 132 136 136 135 136 130 109 95 88 92 101 99 88 71 57 59 81 108 118 119 124 128 119 102 90 81 72 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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