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 5 5 4 4 4 5 5 5 4 4 5 5 3 3 4 6 7 6 6 6 5 5 5 5 5 7 9 9 9 9 9 10 11 12 11 9 7 6 6 5 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 5 5 5 4 3 3 3 3 4 4 4 5 4 4 3 3 3 4 4 4 3 2 3 3 3 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 6 5 5 5 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 7 6 6 6 6 8 9 8 7 6 5 4 4 4 5 6 6 6 6 7 6 5 4 4 3 2 3 8 13 12 10 7 9 10 5 -5 4 8 3 2 5 1 8 13 8 3 3 6 5 6 8 -1 -2 8 12 4 4 6 3 0 3 6 3 -1 -1 9 16 8 -3 2 8 6 6 5 2 4 3 -1 -4 -4 1 6 7 7 3 1 2 0 -1 0 2 5 6 5 6 9 26 44 36 16 7 6 4 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 7 9 11 14 16 18 17 15 11 9 6 4 3 4 4 4 5 5 4 1 -3 -3 2 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 5 5 5 12 15 8 5 5 4 4 4 4 4 3 3 2 1 1 1 1 1 2 2 3 4 4 3 2 2 1 3 4 4 4 4 4 5 7 9 10 11 12 11 9 6 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 5 5 4 4 4 5 6 6 6 6 5 4 4 3 4 7 16 24 17 10 9 10 6 1 1 -3 -5 -11 -5 0 -1 1 4 3 3 3 3 -2 -10 -13 -10 -6 -6 -4 -2 2 5 5 5 6 8 11 15 18 18 11 6 7 9 10 12 15 17 17 17 17 17 15 15 17 15 12 11 11 10 9 9 9 8 7 6 4 4 4 4 5 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 4 3 3 4 5 4 3 4 5 6 5 3 3 4 4 5 5 5 5 6 5 4 4 5 6 7 7 7 7 8 10 11 10 9 8 7 6 5 4 4 3 3 4 4 4 4 4 3 2 3 4 4 4 5 6 6 5 4 4 3 3 3 4 4 5 4 4 4 3 3 3 4 4 3 2 2 2 2 2 3 2 2 3 3 3 3 4 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 4 4 4 4 4 5 5 5 6 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 9 9 7 6 5 5 5 5 5 6 6 6 6 6 6 5 4 3 2 2 7 14 17 14 11 10 12 20 9 -2 5 5 5 3 9 3 1 3 10 8 3 0 -1 8 11 3 2 7 7 4 8 8 4 1 2 8 10 4 -3 2 14 14 8 5 5 9 11 7 6 6 4 1 0 -3 -5 -3 5 10 4 3 4 0 -1 2 5 8 8 7 10 22 37 40 23 9 6 5 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 7 8 11 13 17 18 17 14 11 9 6 4 3 4 4 4 5 5 3 -2 -4 -1 4 7 6 5 5 5 4 5 4 3 4 5 5 5 6 5 5 5 5 5 5 10 12 8 6 5 4 3 3 4 4 3 3 2 2 2 2 2 2 2 3 4 4 5 4 3 2 2 3 4 4 4 5 5 5 7 8 9 10 11 11 10 7 5 4 4 4 2 2 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 7 7 7 6 6 5 4 4 4 8 16 22 21 17 15 9 8 11 7 -0 -1 -1 0 2 6 6 6 5 7 8 5 2 -0 -2 -0 -1 -2 -1 1 4 5 5 5 5 5 7 9 11 9 5 5 5 5 7 9 11 13 14 14 13 13 12 11 9 8 9 10 10 9 9 7 6 7 6 5 5 5 5 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 2 2 2 3 4 4 3 3 4 5 5 4 3 3 3 3 2 3 5 6 6 5 4 4 5 5 5 5 5 5 6 6 7 6 6 6 6 5 5 5 5 4 4 4 4 3 3 3 2 3 4 4 4 5 6 6 6 5 5 4 4 3 4 4 4 4 4 4 3 3 3 3 4 4 3 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 7 8 9 8 7 5 5 5 5 5 6 5 5 6 6 5 5 4 3 1 4 11 16 17 15 8 8 12 19 7 1 6 3 4 5 6 2 -2 -1 8 10 7 -1 -4 5 12 7 2 3 3 6 11 10 8 6 5 9 13 8 5 9 9 9 10 8 5 10 10 6 9 9 8 5 3 -2 -6 -3 4 8 5 4 3 2 3 6 7 8 8 11 22 38 39 24 10 6 6 4 3 3 3 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 7 8 10 13 16 18 17 14 10 8 5 4 3 3 4 4 4 3 0 -5 -6 -3 4 7 7 7 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 7 8 4 4 4 1 -1 2 3 3 3 3 2 2 2 2 2 2 3 4 5 5 5 4 4 3 3 4 4 4 4 5 5 6 7 8 8 9 10 11 10 8 6 5 4 3 2 3 3 3 3 4 4 4 4 3 3 3 3 4 5 5 5 4 4 4 5 5 6 7 8 8 7 6 5 4 3 3 6 14 18 20 17 9 6 3 2 1 2 2 2 3 6 5 6 7 8 9 7 5 7 6 6 6 5 4 3 4 4 4 4 4 4 4 6 6 6 5 5 4 5 5 6 7 8 9 9 8 8 8 7 7 8 9 10 10 10 8 6 6 7 8 7 6 5 5 5 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 2 2 1 2 2 4 4 3 3 3 5 6 5 4 3 3 2 1 3 4 5 5 5 4 4 4 5 5 5 5 5 4 4 3 3 4 4 4 5 6 6 6 5 5 4 4 3 3 3 3 2 3 3 3 4 5 6 6 6 5 5 5 4 4 4 4 4 4 5 4 3 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 6 7 8 8 7 6 5 5 5 5 5 6 6 6 6 6 5 4 2 1 5 13 15 12 14 5 0 5 9 5 2 5 6 1 6 6 -2 -4 1 7 12 10 3 -0 3 9 5 2 1 -0 4 8 7 9 10 7 7 10 8 10 15 14 10 7 5 10 13 5 0 8 11 10 10 4 -5 -4 2 5 5 5 5 3 3 5 6 7 8 12 24 38 42 29 12 6 5 5 4 3 3 3 3 3 3 4 5 5 5 5 4 4 5 4 4 4 4 4 3 4 5 6 7 9 12 15 18 17 14 10 7 5 4 4 3 3 3 3 1 -2 -6 -5 -1 5 7 6 6 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 4 5 4 2 3 1 -3 -2 2 3 3 2 3 2 2 2 2 2 2 4 5 7 7 5 4 4 4 4 4 4 4 4 5 5 6 7 7 7 8 9 10 9 9 7 5 4 3 3 3 3 4 3 4 4 4 4 3 3 3 3 3 4 5 5 5 5 5 5 4 4 5 7 8 7 6 5 4 3 3 3 4 8 13 15 10 6 4 2 1 1 3 3 3 5 4 4 6 7 6 6 6 5 5 7 9 8 5 5 5 5 4 3 4 4 4 4 5 5 5 5 5 4 5 5 6 7 6 6 5 5 5 6 7 8 9 10 10 10 8 6 6 7 8 8 7 6 6 6 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 2 2 1 1 2 3 3 3 3 3 4 5 6 5 4 3 3 1 2 3 3 4 4 4 4 4 5 6 6 6 6 5 4 3 3 2 2 3 4 4 5 5 6 5 5 5 4 4 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 7 7 7 7 6 5 5 5 5 6 6 6 6 6 6 5 4 2 2 5 9 10 8 10 6 -0 2 4 3 4 5 5 -1 7 11 3 -1 2 7 11 5 2 0 1 0 -0 2 3 2 4 7 4 5 8 7 6 4 4 8 11 14 16 9 7 10 10 5 3 9 9 7 10 6 0 4 6 4 5 6 6 5 3 3 5 6 10 22 38 42 30 14 6 6 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 3 3 4 4 3 4 5 6 7 8 10 14 17 16 13 9 6 4 4 4 3 3 2 1 -0 -2 -3 1 6 6 6 6 5 5 6 6 6 6 6 6 6 5 6 6 5 6 6 6 5 5 4 3 4 2 -0 3 7 6 3 3 2 2 3 2 2 2 3 3 4 6 7 6 5 4 4 4 4 4 4 4 4 5 5 6 7 7 6 7 9 9 10 9 7 6 4 3 3 3 4 3 4 4 5 5 4 4 4 4 4 3 4 4 4 4 5 5 4 4 3 4 4 5 4 3 1 0 -1 -1 -2 -2 -1 3 8 9 7 6 5 4 4 5 5 2 2 4 6 8 10 6 3 6 7 7 8 7 7 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 8 9 9 9 8 7 5 6 6 7 8 7 6 6 6 7 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 3 3 3 2 2 2 2 2 2 2 2 3 3 4 5 5 5 5 4 3 2 2 2 3 3 3 4 4 5 6 7 6 6 6 6 5 4 4 3 3 3 3 3 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 5 5 5 5 5 4 4 4 3 4 3 3 4 4 4 4 4 3 4 5 4 4 4 3 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 4 4 5 5 4 4 4 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 5 4 4 5 5 5 6 6 6 6 5 5 6 6 7 7 7 5 4 5 5 6 6 6 6 6 6 5 4 3 2 2 4 6 7 9 7 3 5 4 2 8 8 2 2 5 7 9 6 2 7 7 1 2 3 -3 -6 -1 5 6 6 6 8 4 1 3 6 7 1 -3 2 5 8 9 8 9 7 5 5 8 10 7 7 8 8 10 11 7 5 7 6 6 6 4 3 4 6 12 26 36 27 13 7 6 5 4 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 3 3 3 3 4 4 4 5 6 8 10 12 15 15 12 8 6 4 4 3 3 2 1 0 0 1 1 3 7 7 6 6 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 5 3 4 4 3 4 8 10 6 3 2 3 2 3 3 3 3 3 3 3 5 6 5 4 3 3 4 4 4 4 4 4 5 5 6 6 6 6 7 8 9 10 9 7 6 4 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 4 4 4 4 3 3 2 2 2 1 2 1 -1 -4 -6 -6 -7 -8 -6 -3 2 6 7 6 6 6 7 7 7 4 1 7 7 8 15 11 5 6 7 9 9 7 7 6 6 6 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 8 7 6 5 5 6 6 7 7 6 5 5 6 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 4 4 3 3 3 3 3 2 2 1 1 2 3 3 4 5 5 5 5 4 3 2 2 2 2 3 4 6 6 7 6 5 5 5 6 6 6 4 3 3 2 3 3 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 4 5 5 4 5 5 5 5 5 5 6 6 5 6 6 5 4 4 4 4 5 5 4 4 4 4 4 5 6 6 6 6 5 5 6 6 6 6 5 4 5 5 6 6 7 6 5 5 5 4 4 2 1 2 5 8 10 8 8 12 9 6 9 5 4 7 5 3 7 10 4 7 6 -1 5 11 4 0 4 6 6 3 3 2 3 2 3 8 10 -1 -7 1 3 3 -0 3 7 8 4 -4 1 5 6 6 1 6 11 10 8 4 4 4 4 6 6 5 4 5 14 27 26 13 6 5 5 4 3 3 3 4 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 7 9 11 13 13 11 7 5 4 4 3 2 1 1 1 2 4 3 3 6 7 6 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 6 6 5 5 4 4 4 5 4 3 4 4 2 2 3 3 3 4 4 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 5 5 6 6 7 6 6 7 9 10 9 8 5 3 3 4 3 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 4 3 3 2 2 1 0 -0 1 3 2 -1 -4 -5 -4 -6 -5 -2 1 4 5 6 5 5 7 7 7 7 2 3 6 9 14 13 8 6 6 8 8 8 7 7 6 6 5 4 2 1 2 4 4 4 4 4 4 5 5 5 6 5 5 4 5 5 5 6 6 6 6 6 7 7 6 6 6 5 5 6 6 7 6 5 4 5 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 4 4 4 4 4 4 3 3 2 1 1 1 1 2 2 3 4 5 5 5 4 3 2 2 3 3 4 5 6 6 5 4 4 4 5 6 6 5 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 3 3 2 3 3 3 3 3 3 3 2 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 5 5 5 5 5 5 4 4 4 5 6 7 6 5 5 5 5 5 5 6 5 5 5 5 6 7 7 6 5 5 5 5 4 2 2 3 6 10 10 9 12 15 11 9 11 7 5 5 3 2 6 10 7 9 4 1 7 14 12 8 8 5 3 -0 1 0 3 5 7 12 9 -3 -3 5 6 4 -1 -0 1 7 5 -1 -0 1 4 3 -2 1 5 7 5 4 7 6 4 4 5 5 5 8 21 29 19 8 5 5 4 4 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 6 8 9 11 11 9 7 5 4 4 4 3 2 2 3 5 6 4 3 5 8 8 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 3 3 3 4 4 4 4 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 6 7 7 6 6 8 10 10 8 5 4 3 3 3 3 4 4 4 5 4 4 4 5 5 6 6 6 6 5 4 3 3 2 2 1 0 0 1 3 7 7 5 2 2 2 1 0 1 2 3 4 6 5 5 6 5 6 9 5 -2 -0 5 8 9 7 6 7 7 8 8 8 7 7 7 6 5 2 -2 -2 0 3 4 4 4 4 4 4 5 6 6 5 5 5 5 5 5 6 6 6 7 8 7 7 7 7 6 5 5 6 6 6 4 3 4 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 4 4 4 4 4 4 4 4 4 3 2 1 1 2 1 1 2 4 5 5 5 4 3 3 3 3 3 4 5 5 5 4 4 4 4 5 5 5 5 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 2 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 3 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 6 5 5 5 4 5 5 6 6 6 6 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 5 5 5 4 2 2 2 4 8 9 9 10 11 9 8 9 9 7 7 6 2 3 6 10 11 5 5 5 6 10 8 10 7 5 3 1 2 3 5 10 13 3 -4 3 8 8 6 4 -2 -2 2 2 1 6 9 11 7 3 -0 4 1 2 6 9 5 3 3 4 5 8 15 27 26 13 6 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 8 9 9 8 6 5 5 5 4 4 4 4 5 6 7 6 3 5 12 14 11 9 7 6 6 7 6 6 5 5 6 5 5 4 3 3 2 2 3 5 6 6 5 7 9 7 5 4 4 4 5 6 6 5 3 2 2 1 1 1 2 3 4 4 4 4 4 4 5 5 5 6 5 6 6 7 7 6 7 8 9 8 6 5 3 2 2 2 3 3 5 5 5 5 4 5 5 5 6 6 5 4 4 3 3 3 2 1 0 3 5 5 7 8 7 5 4 4 3 3 3 3 3 3 3 6 8 7 6 7 13 12 4 -1 1 5 6 5 5 6 7 8 9 9 9 9 8 7 7 6 1 -2 -1 1 3 3 3 4 4 4 5 6 6 6 6 5 5 5 5 6 6 7 8 8 8 7 7 7 6 5 5 5 5 6 5 3 3 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 4 4 4 4 4 4 4 4 4 4 4 5 4 3 2 2 2 2 1 2 2 3 5 5 5 4 4 4 3 3 3 4 4 4 5 4 4 4 3 4 4 3 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 4 3 4 3 3 3 2 2 2 2 3 3 3 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 6 6 5 5 5 5 5 6 6 7 7 7 7 6 7 7 7 7 6 6 6 6 5 5 5 4 4 4 5 5 6 6 7 7 7 6 6 5 5 4 3 2 1 2 3 5 9 10 7 4 4 4 4 7 9 10 8 5 2 4 8 9 9 4 2 8 8 9 9 9 7 2 3 3 3 7 9 -0 -1 4 6 6 7 7 -1 2 5 5 5 4 9 11 6 6 1 4 3 4 10 8 3 1 1 4 7 10 19 25 18 8 5 5 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 4 4 5 5 5 7 7 8 8 7 6 6 5 6 6 6 6 6 7 7 6 4 5 11 16 17 17 15 12 10 9 8 7 6 6 6 5 4 2 2 2 2 1 3 5 7 7 6 7 10 10 7 5 5 5 6 8 8 6 3 1 1 1 2 2 3 3 4 4 4 4 4 4 4 5 5 6 6 6 5 6 6 6 6 7 8 8 7 6 5 3 2 1 0 1 3 4 5 5 4 4 4 4 4 4 4 3 2 1 2 2 1 -0 -0 5 13 10 5 7 7 6 4 4 3 4 5 5 5 6 6 9 12 12 12 12 14 16 12 4 3 4 5 5 6 7 8 9 10 10 10 10 10 9 9 10 10 8 5 2 2 2 3 3 4 4 4 5 6 6 7 6 6 5 5 5 6 6 7 8 9 7 6 6 6 6 5 4 5 7 5 3 3 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 4 4 4 4 4 5 5 4 4 5 5 4 4 3 3 2 2 1 1 2 3 4 4 5 5 4 4 3 2 2 3 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 2 3 3 2 2 3 2 2 3 2 3 2 2 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 5 4 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 5 5 4 5 6 6 6 7 7 7 7 8 8 8 9 8 8 7 6 6 6 5 5 4 4 4 5 4 5 6 6 7 8 8 7 6 5 5 4 3 2 2 1 1 2 7 10 6 4 4 3 3 7 8 7 6 4 1 -0 5 12 10 6 5 6 10 11 9 8 6 2 4 6 6 5 4 1 3 4 3 6 9 8 3 5 6 7 7 7 9 3 -1 1 4 11 11 8 10 9 4 2 3 5 7 10 18 20 12 5 4 4 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 3 4 4 4 5 5 6 6 7 7 7 6 6 6 6 7 7 6 6 7 6 5 4 4 5 10 15 18 19 19 18 15 13 12 12 10 9 7 4 3 3 3 3 2 5 8 9 8 7 9 13 15 9 5 5 7 8 9 9 7 3 1 1 3 3 3 4 4 4 4 4 4 4 5 4 4 4 5 6 6 4 2 3 5 6 6 6 6 7 7 7 6 5 3 1 -0 -1 -0 2 3 4 4 3 3 2 1 1 1 1 -0 -1 -1 -1 -1 -1 5 16 14 6 6 7 6 5 5 5 6 8 9 9 10 13 18 20 17 15 12 10 10 9 6 4 5 5 5 5 6 7 9 10 11 11 12 12 11 10 11 11 11 9 5 2 3 3 3 4 4 4 5 5 6 7 7 6 5 4 5 5 6 7 8 8 7 6 6 6 6 5 5 6 6 6 4 3 3 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 4 3 4 4 5 5 5 4 5 5 5 5 5 4 4 3 3 2 1 2 2 3 3 4 4 3 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 5 5 5 4 4 5 4 4 4 5 5 5 6 6 6 6 5 5 5 6 7 7 7 7 8 8 8 8 9 10 10 11 9 7 6 6 6 6 5 4 4 4 4 5 5 5 7 7 8 8 7 6 6 5 4 3 3 2 1 1 3 9 11 8 7 3 1 2 6 7 7 4 1 2 6 8 8 6 4 2 2 9 12 10 6 4 2 2 8 9 3 1 3 5 4 3 4 8 7 3 2 4 7 5 7 5 5 3 1 5 10 10 8 8 8 6 3 6 9 9 12 19 17 8 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 7 6 6 6 6 6 6 6 6 6 6 5 4 3 3 5 8 10 13 15 16 17 17 18 17 14 13 11 8 7 6 6 6 8 11 13 12 10 11 13 17 16 8 6 6 8 9 10 9 6 2 0 2 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 -1 -7 -6 1 5 5 5 6 6 7 8 8 7 6 3 1 -2 -3 -2 -1 -0 1 2 1 -1 -1 -1 -0 -1 -3 -4 -3 -3 -1 6 14 13 7 7 7 7 6 6 6 7 9 10 11 13 16 17 16 13 10 7 5 5 4 4 4 4 5 5 5 5 7 9 10 10 11 13 13 12 10 9 9 7 7 6 4 4 4 4 3 3 4 5 6 7 7 7 7 5 4 4 5 6 8 9 8 7 6 6 6 5 5 5 7 6 6 5 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 nan nan nan nan
nan nan nan nan nan nan 4 4 4 3 3 4 5 6 5 5 5 5 5 5 5 4 4 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 4 3 3 4 3 3 3 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 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 9 9 11 11 12 12 11 9 7 7 6 6 5 3 3 4 4 5 5 5 7 8 8 7 6 5 6 6 5 4 3 2 1 0 5 14 13 7 7 -0 1 5 5 2 8 8 9 7 10 8 4 5 5 3 1 7 12 14 10 6 3 -1 2 7 4 3 6 3 5 4 2 3 0 -0 -1 5 5 2 3 3 8 7 4 2 2 6 8 7 9 7 5 6 10 14 20 22 14 5 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 4 4 5 5 4 4 4 4 5 5 4 5 5 5 5 4 3 4 4 4 5 6 6 6 6 6 5 5 6 6 6 6 6 6 5 4 3 3 3 3 4 5 6 8 10 12 13 12 11 11 11 13 14 12 12 14 16 16 13 12 12 15 17 18 13 6 6 7 7 9 11 10 5 1 1 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 2 -9 -16 -11 1 6 5 5 5 6 7 8 9 10 9 7 4 1 -2 -5 -7 -6 -2 1 1 -3 -3 0 1 -3 -5 -5 -4 1 7 10 9 7 6 7 6 7 8 9 7 8 8 7 10 11 9 8 7 5 4 4 4 4 4 4 4 4 5 5 5 6 7 9 10 11 11 12 12 11 10 9 8 7 6 5 5 5 4 4 4 4 5 6 6 7 7 7 6 5 4 5 6 7 7 7 7 7 6 6 5 5 5 6 6 7 6 4 3 3 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 3 3 3 2 2 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 3 2 2 3 3 3 3 3 3 4 3 3 3 3 2 1 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 6 7 7 7 8 9 10 12 13 14 14 13 12 10 9 7 7 6 4 3 3 3 4 4 4 5 7 8 8 7 6 5 6 5 5 4 3 2 2 1 5 14 11 7 4 -1 4 5 6 0 9 15 16 10 5 4 6 8 10 8 5 6 11 15 12 10 11 6 1 1 4 9 8 2 6 7 3 2 -0 1 2 5 4 4 4 7 7 4 2 2 4 7 8 10 10 7 6 7 9 15 23 21 10 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 4 4 4 4 4 5 6 6 6 6 5 5 5 5 5 5 6 6 5 5 4 4 3 3 3 3 3 3 3 4 5 4 5 6 6 8 12 14 15 17 17 16 11 9 9 12 14 15 14 8 6 7 7 7 8 8 7 4 2 2 3 3 3 3 2 2 3 2 0 2 4 4 4 4 3 3 3 5 8 9 4 -6 -10 -4 4 5 5 5 5 6 6 8 9 10 10 10 9 6 1 -6 -11 -8 -1 2 0 -1 1 3 1 -0 -2 -2 3 6 6 6 7 6 6 6 9 14 15 10 6 6 5 5 9 9 5 4 4 3 4 4 4 4 4 4 5 5 5 5 6 7 8 9 10 10 10 11 11 11 10 9 9 9 7 6 6 6 5 5 4 5 6 5 5 6 7 6 5 4 5 6 6 6 6 7 7 6 6 6 5 4 5 6 7 6 5 4 3 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 2 2 1 1 2 2 3 3 4 4 4 5 5 4 4 4 5 5 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 2 2 1 1 2 2 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 8 9 11 13 15 17 17 16 13 11 9 8 7 6 4 3 2 2 3 3 4 5 7 7 7 7 7 7 6 5 5 4 3 2 1 2 4 7 6 9 4 4 7 2 -2 0 4 14 9 10 2 -0 4 7 10 13 11 7 8 10 11 12 15 13 5 1 3 9 8 5 6 5 5 4 5 6 6 5 5 7 7 11 9 6 2 5 7 8 8 8 8 6 7 9 8 17 23 15 6 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 5 4 4 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 2 2 2 2 2 2 2 2 3 4 5 6 7 9 12 13 11 8 6 7 8 10 10 9 7 6 7 7 7 6 5 4 3 2 2 3 3 4 4 4 0 -1 1 1 -5 -7 -2 3 4 4 3 3 3 5 11 17 16 8 5 1 3 5 5 4 4 5 4 4 6 7 7 8 11 12 9 3 -6 -8 -4 -0 2 3 3 3 4 4 4 3 5 6 4 5 6 6 4 5 9 15 17 13 9 7 6 7 10 7 4 4 4 3 4 4 4 4 4 4 5 5 5 5 6 6 7 8 9 9 9 10 10 10 10 10 9 9 8 7 7 7 7 6 6 5 6 5 5 6 6 6 5 4 5 5 5 5 5 6 7 7 7 6 6 5 5 6 7 7 6 4 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 2 2 1 1 2 1 2 2 2 2 3 3 3 4 4 4 5 4 4 5 5 5 5 4 3 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 3 3 3 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 3 4 4 4 4 4 4 3 4 4 3 4 4 3 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 5 5 5 5 6 6 7 7 8 9 11 13 17 21 22 19 15 12 10 9 7 6 4 3 2 2 3 3 3 5 6 6 7 7 8 7 5 4 5 4 3 1 0 2 3 3 5 9 3 8 8 4 -4 5 2 8 4 13 5 -3 -3 3 6 10 11 7 4 4 9 12 14 10 7 8 7 5 6 7 4 3 5 5 8 8 5 4 7 9 9 12 9 9 5 6 7 7 8 8 6 5 7 10 13 22 22 10 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 5 5 5 6 5 5 6 6 6 7 6 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 2 2 2 2 1 1 2 3 4 5 5 6 6 7 8 8 7 6 5 7 8 9 7 6 5 6 7 7 7 6 4 3 2 1 1 2 3 4 5 7 7 3 3 5 -1 -10 -12 -4 2 3 3 3 3 4 9 18 21 13 8 6 4 4 4 4 3 2 1 -0 -0 1 2 0 2 6 9 7 -0 -4 -3 -0 4 3 1 2 5 4 4 5 6 6 6 5 6 6 4 5 5 5 9 10 8 8 7 9 9 6 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 6 6 6 7 8 8 9 9 9 10 10 9 8 8 8 8 8 8 7 7 6 6 7 6 6 5 5 5 5 5 5 5 4 4 5 6 7 7 7 6 6 5 5 7 7 6 4 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 4 4 3 3 2 2 2 2 1 1 2 2 2 3 3 3 3 3 4 4 5 5 5 5 4 3 3 2 2 2 1 1 2 2 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 3 3 4 3 3 4 4 3 4 3 3 3 4 3 3 3 3 3 4 3 3 4 4 4 3 4 3 3 4 4 4 3 3 3 3 3 4 3 3 3 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 7 7 7 8 9 10 14 19 26 28 25 19 14 11 9 8 7 4 2 2 3 3 3 3 5 6 7 7 7 6 5 4 4 5 5 3 1 0 2 3 4 8 6 1 4 6 6 1 8 4 10 13 15 9 0 -4 2 4 2 4 2 -0 2 7 10 12 7 4 9 6 2 3 3 3 7 6 3 6 7 2 2 6 9 9 8 7 7 6 7 6 4 6 8 6 6 6 9 16 24 19 8 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 6 6 6 7 6 6 5 5 4 4 4 3 2 2 2 2 3 3 4 4 4 3 3 2 2 2 2 2 2 3 3 4 5 5 6 6 7 7 6 6 6 7 7 8 8 6 5 5 6 6 7 7 6 4 3 2 1 1 1 2 3 5 7 12 12 9 10 10 0 -10 -12 -7 -3 -2 -0 1 3 6 11 16 12 4 5 4 3 2 2 1 -0 -2 -4 -7 -6 -3 -5 -8 -4 3 5 4 3 3 4 4 2 0 2 5 5 2 3 5 7 8 7 6 8 8 9 8 2 2 6 6 7 7 9 8 6 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 6 7 8 8 8 8 10 10 9 9 9 9 9 9 8 7 6 6 7 6 6 6 6 5 5 5 5 4 4 3 4 6 6 6 7 6 6 5 5 6 6 6 4 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 6 5 5 5 5 5 5 5 4 3 3 2 1 1 1 1 2 2 2 2 3 3 3 4 5 5 5 4 4 3 2 2 2 1 1 1 2 3 3 4 4 4 3 2 2 2 3 3 3 3 3 3 3 4 4 4 3 4 4 3 3 4 3 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 3 4 4 3 4 4 4 4 4 3 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 9 11 15 21 29 34 30 23 16 11 10 8 6 4 3 3 3 3 4 4 5 7 8 8 7 6 5 3 4 5 6 4 1 1 3 4 7 9 5 2 2 8 3 2 3 7 7 14 11 8 5 1 4 2 2 7 -2 -5 0 3 6 9 7 4 7 6 2 -1 -3 2 10 6 -1 0 4 5 3 5 7 9 7 4 4 6 6 4 3 6 7 6 5 5 8 17 23 15 6 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 5 5 4 5 5 5 5 5 6 5 6 6 6 6 6 6 5 5 5 5 5 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 5 4 5 5 5 6 6 6 6 5 6 7 7 7 6 6 5 5 5 6 6 6 6 5 4 3 2 1 1 1 2 2 4 7 9 9 10 10 7 1 -9 -15 -11 -10 -8 -7 -1 4 5 7 7 5 5 4 2 0 -1 -2 -3 -4 -5 -9 -10 -5 -4 -8 -8 -1 4 5 5 5 5 5 5 4 3 6 8 7 5 5 8 10 8 6 5 8 11 11 8 4 5 6 6 7 8 7 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 6 6 5 5 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 5 5 4 4 3 4 5 5 6 6 5 4 4 5 5 5 4 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 5 5 5 5 6 5 5 5 5 5 4 4 3 2 2 2 2 2 2 2 2 3 3 4 5 5 5 4 4 4 3 2 2 1 1 1 2 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 3 4 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 8 10 13 17 24 32 38 34 25 17 12 10 8 6 4 3 3 3 3 4 4 5 7 8 9 8 7 6 4 4 6 6 4 1 1 3 5 6 7 5 2 4 10 5 7 -1 4 -1 8 5 3 5 5 8 5 7 10 -2 -7 -2 -0 1 5 10 14 10 6 6 2 -3 0 6 4 -1 -1 4 6 3 4 7 10 6 3 1 4 4 3 5 6 6 6 5 4 8 20 23 13 5 4 3 3 4 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 5 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 6 5 5 4 4 3 2 2 2 2 1 2 2 3 4 7 9 6 3 -1 -6 -8 -9 -11 -12 -11 -5 0 4 4 4 4 4 3 0 -1 -1 -2 -3 -2 -2 -4 -3 0 1 -1 1 4 6 6 5 4 4 8 8 6 6 8 15 16 12 11 11 9 8 4 3 7 8 7 6 6 5 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 5 6 6 8 9 7 5 5 7 8 8 9 9 8 7 7 6 7 7 7 7 7 7 6 5 5 4 3 3 3 3 4 5 5 4 3 3 3 4 4 4 4 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 3 3 3 3 4 4 5 4 4 5 5 6 6 6 5 4 4 3 3 2 2 1 1 1 2 3 4 4 4 5 5 4 4 3 3 2 2 2 2 3 3 3 4 5 4 3 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 3 4 4 3 3 4 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 6 6 7 7 7 9 11 16 22 28 35 38 34 24 16 12 10 8 6 4 3 3 3 4 4 6 6 7 8 9 10 8 6 5 5 6 5 2 0 2 4 4 4 4 4 2 6 8 6 6 3 3 -4 1 2 1 -1 8 13 12 14 13 3 -4 -4 -4 -1 -0 8 18 11 4 4 3 2 3 3 2 3 5 7 5 2 3 6 6 6 7 4 3 4 4 9 7 6 6 5 4 9 22 22 10 5 4 3 3 3 3 3 4 4 5 5 4 4 4 4 3 3 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 5 4 4 3 3 3 4 4 4 4 4 3 4 4 4 3 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 3 2 2 2 2 2 2 3 7 12 12 6 3 2 3 3 -0 -6 -14 -14 -10 -4 0 2 2 4 5 3 3 7 8 4 2 3 4 4 4 5 5 5 5 7 7 6 5 4 4 8 8 5 6 17 25 20 13 8 7 8 6 3 4 5 6 6 6 5 5 5 4 5 4 4 4 3 3 3 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 7 10 10 6 3 5 6 7 8 9 9 8 7 7 7 7 8 7 7 7 7 6 5 4 3 3 2 3 3 4 4 4 3 2 2 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 3 2 3 3 3 3 3 4 5 5 7 7 6 6 5 5 4 3 3 3 2 2 2 2 3 4 4 4 4 4 4 4 4 3 3 2 2 2 3 4 5 5 5 5 4 5 5 5 5 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 4 4 4 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 6 7 7 7 10 15 21 27 31 34 34 27 20 15 12 9 7 5 4 3 3 3 4 5 7 7 7 8 9 9 8 7 5 5 5 3 0 1 4 5 4 4 3 6 7 6 3 4 5 14 10 0 -7 -4 3 -2 8 13 13 16 15 8 3 -3 -3 -2 -1 3 12 8 1 2 3 5 6 3 2 5 8 8 4 3 5 6 4 6 10 7 2 4 6 9 8 8 7 5 4 10 23 23 10 4 4 3 3 3 3 3 4 5 5 4 4 4 4 3 3 3 4 3 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 5 4 4 3 4 4 4 5 4 4 4 4 4 4 3 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 5 6 5 5 5 5 4 5 5 5 4 4 4 4 4 3 4 7 13 18 17 9 2 4 9 9 4 -4 -9 -14 -13 -7 -4 -4 -2 2 5 7 9 12 9 5 5 5 5 6 6 6 7 7 6 6 6 5 5 1 3 6 6 9 15 21 18 12 7 5 6 6 4 5 5 5 6 5 4 4 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 3 4 5 6 6 7 10 9 5 4 5 6 7 9 10 10 8 7 6 7 8 9 8 8 7 6 5 4 3 3 3 2 2 3 3 3 2 2 2 3 3 3 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 3 2 2 2 2 2 2 3 3 3 4 4 5 6 6 6 6 6 5 5 5 5 4 2 1 2 3 4 4 4 4 4 5 5 5 5 4 3 3 2 3 4 4 5 6 5 4 5 4 5 5 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 6 7 6 8 15 22 25 27 29 28 25 21 16 13 10 8 5 4 3 3 3 4 4 6 8 8 8 8 8 8 8 7 5 4 2 -0 -1 2 4 4 8 9 2 6 10 7 3 3 4 17 17 7 -3 -5 4 3 6 7 6 15 12 8 4 1 2 2 1 3 7 5 1 1 1 3 4 4 3 3 8 10 5 6 7 8 5 3 6 6 4 5 7 5 7 9 7 4 5 14 25 21 9 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 6 6 6 5 4 4 4 4 5 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 6 6 10 16 21 17 10 8 7 8 7 5 3 -2 -10 -11 -10 -10 -9 -6 -4 -2 1 6 8 7 5 4 5 6 7 7 6 7 8 7 4 6 9 3 2 5 6 10 14 15 12 9 7 5 4 5 5 5 4 4 4 5 5 4 3 3 5 7 6 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 6 6 1 2 4 5 5 6 7 8 5 4 4 5 6 8 10 11 10 8 7 7 8 8 8 8 8 6 6 5 4 4 3 2 1 2 3 3 2 3 3 3 2 2 2 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 nan nan 6 5 4 3 2 2 2 2 2 2 3 3 3 4 4 4 4 5 5 6 6 7 6 7 7 5 3 2 2 3 4 4 4 4 5 5 5 6 5 5 4 3 3 3 3 4 4 4 4 4 4 5 5 4 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 7 13 26 29 24 22 22 20 18 15 12 11 9 7 4 3 2 3 4 4 5 7 8 8 8 8 8 7 7 7 5 2 -1 -3 -0 2 2 5 12 13 4 3 6 8 6 4 5 13 15 10 4 4 9 9 6 2 3 11 6 4 3 4 8 6 4 3 4 7 7 3 2 4 6 8 5 4 9 11 6 5 8 10 6 3 5 6 7 9 7 4 6 7 7 4 5 15 26 21 9 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 4 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 5 5 5 6 6 6 6 7 6 6 6 6 5 5 5 5 5 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 7 7 7 6 6 7 10 15 20 22 17 12 7 5 6 6 6 0 -6 -6 -7 -8 -7 -7 -7 -4 2 6 8 7 5 6 6 7 6 6 10 12 11 8 9 12 8 4 5 6 9 11 11 10 8 6 5 4 5 6 5 3 3 3 5 6 5 3 2 4 8 8 6 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 5 8 4 1 4 4 5 6 6 6 5 4 4 4 5 7 9 12 12 10 8 7 7 7 8 8 8 7 7 6 5 5 4 3 2 2 2 1 2 3 3 2 1 2 3 2 2 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 6 5 5 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 7 8 7 5 3 2 2 3 4 4 4 4 4 5 6 5 6 5 4 3 3 2 2 3 3 4 4 4 4 4 3 2 2 1 2 1 2 3 3 4 4 4 4 4 3 4 4 4 3 4 3 3 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 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 6 5 5 5 6 6 7 8 24 39 28 14 13 15 15 13 12 10 9 7 5 4 2 2 3 4 5 6 8 8 8 8 7 7 7 7 6 3 -1 -4 -3 2 1 -1 6 12 17 10 2 4 6 4 7 9 12 13 6 0 5 12 12 8 3 3 4 1 2 4 5 8 7 5 5 6 9 8 5 4 5 8 10 7 7 10 10 6 4 7 10 7 4 7 11 11 14 7 5 6 8 7 4 3 10 22 24 12 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 5 5 5 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 10 16 19 19 19 16 12 9 9 9 7 6 7 5 2 1 3 2 2 5 7 6 7 10 10 8 8 6 7 15 18 15 13 12 11 8 5 5 6 8 9 9 8 6 5 4 5 5 6 5 4 3 3 4 6 6 4 3 5 8 9 6 4 3 3 3 3 3 2 2 2 2 1 1 1 1 2 2 3 5 6 4 4 4 4 5 6 6 5 4 4 4 5 6 9 12 13 12 10 7 6 6 7 7 8 9 9 8 7 6 5 5 4 3 2 0 0 2 3 2 2 2 3 3 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 4 5 5 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 5 5 6 7 8 7 4 3 2 3 3 4 3 3 3 4 5 5 6 6 5 5 4 3 2 2 3 3 3 3 3 4 3 3 2 2 1 1 1 2 2 3 3 3 3 4 4 4 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 3 3 4 3 4 4 3 4 3 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 5 4 4 4 5 4 4 4 4 4 3 4 4 4 6 6 6 6 6 6 6 7 8 13 31 37 17 -0 1 8 10 11 11 9 8 6 4 3 2 2 3 5 5 7 9 9 9 8 7 7 7 7 5 0 -5 -4 1 3 5 4 4 7 14 13 6 5 4 5 7 5 7 8 4 -0 0 6 8 7 4 2 0 3 6 7 4 5 8 4 5 9 10 8 5 3 2 6 8 7 8 9 7 6 5 6 6 5 5 7 11 11 12 9 5 5 7 7 6 5 8 16 27 20 5 3 3 3 4 4 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 5 5 5 5 5 5 6 5 5 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 6 5 5 6 6 6 6 6 6 5 5 5 5 5 6 5 5 6 8 10 14 17 19 18 16 16 17 17 18 20 17 10 8 10 9 7 10 14 13 9 16 18 11 11 8 6 15 18 15 12 11 9 6 5 6 6 6 6 7 7 6 5 5 5 6 5 5 4 4 4 4 6 6 6 5 5 7 9 6 4 3 3 3 2 2 2 2 1 1 1 1 1 1 2 2 3 3 4 4 4 4 4 4 6 6 5 5 5 5 6 7 8 11 13 14 12 9 6 6 6 5 6 8 10 10 8 7 7 8 6 4 2 0 -0 1 2 2 2 2 2 2 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 3 3 3 3 3 3 4 4 4 4 3 3 3 2 3 3 3 4 5 6 7 8 6 5 4 3 3 4 4 3 4 4 4 5 5 5 6 6 6 4 3 3 2 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 3 4 3 3 4 3 4 4 4 3 4 3 4 4 4 4 5 5 4 4 4 5 4 4 4 4 5 5 4 4 4 3 4 4 5 5 6 6 6 6 6 7 7 10 18 28 22 6 -2 -4 0 7 9 10 9 7 5 4 3 3 3 3 5 6 8 9 9 9 8 7 7 6 5 1 -5 -6 -1 3 3 8 10 4 4 7 10 9 6 7 9 7 2 2 4 5 6 3 1 3 6 7 3 4 10 11 8 5 5 8 6 8 10 12 10 6 6 2 3 5 4 6 5 3 5 8 7 3 0 4 9 9 9 11 10 5 3 2 3 6 8 8 16 28 23 6 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 6 6 6 5 5 5 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 6 6 6 5 5 6 5 5 4 4 4 5 5 5 5 5 5 6 8 10 12 14 16 16 16 17 17 20 22 19 15 16 13 11 13 16 17 17 17 18 16 14 11 5 7 11 11 8 8 7 6 5 5 5 5 5 5 5 6 6 7 7 6 5 5 5 4 4 4 5 6 6 5 4 6 8 7 4 3 3 2 2 1 1 1 1 1 1 1 1 2 2 3 3 3 3 4 4 5 4 4 5 6 6 5 5 6 7 8 9 11 13 14 13 10 7 5 5 4 6 8 10 11 10 8 8 9 7 6 4 1 -1 -0 1 2 2 2 2 1 2 2 0 -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 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 5 6 7 7 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 2 2 3 3 2 2 3 3 2 2 2 2 2 3 3 3 3 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 5 6 7 7 7 7 8 9 13 21 23 10 -1 5 3 -2 5 8 9 8 6 5 4 3 3 3 4 4 6 8 10 10 8 7 6 6 5 1 -5 -8 -3 2 3 3 7 9 7 9 5 6 7 4 9 13 8 2 2 3 5 10 7 1 1 6 8 8 12 14 12 8 5 4 6 8 12 11 10 12 8 6 3 5 6 1 3 1 2 8 10 9 4 0 4 9 10 12 10 10 6 2 -0 0 4 7 6 18 30 19 5 3 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 5 6 6 7 9 9 8 7 7 10 14 18 18 16 16 13 11 10 10 12 10 10 10 8 7 5 4 6 8 8 8 7 5 5 5 5 5 5 4 4 5 6 8 8 7 6 5 5 5 5 4 5 5 5 5 5 5 6 6 5 4 3 2 2 2 1 1 1 1 1 2 2 3 3 3 3 3 3 4 5 4 4 5 5 6 7 6 5 6 8 10 11 12 12 13 13 10 8 5 4 4 6 8 10 12 12 10 8 7 6 5 4 3 -0 -1 1 1 1 2 2 1 2 1 0 -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 6 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 3 3 4 4 4 5 6 7 7 5 5 4 4 4 4 5 6 6 6 6 5 5 5 5 6 7 7 6 5 5 5 4 2 2 1 2 3 3 4 3 2 2 2 2 2 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 7 7 7 8 10 12 17 24 23 3 -6 9 8 1 5 7 8 8 7 4 3 2 3 3 3 4 6 8 9 9 7 6 5 4 2 -4 -7 -4 1 2 1 0 3 9 11 12 5 5 2 -2 6 11 6 3 -2 -2 5 8 6 4 4 6 6 9 13 11 8 6 3 2 4 8 11 8 8 13 7 1 2 5 9 7 5 2 5 11 10 10 6 4 6 8 14 17 10 8 5 1 -2 -0 6 11 7 18 31 17 5 3 4 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 4 5 5 5 5 5 5 5 4 4 5 5 4 3 4 3 3 4 4 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 4 4 5 4 4 4 4 5 5 5 5 4 4 4 5 8 10 11 11 8 5 4 4 4 4 4 3 3 3 3 3 5 6 7 7 7 6 6 5 5 5 5 5 5 5 6 7 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 2 2 3 3 4 4 4 4 4 3 4 5 5 5 5 5 6 6 7 6 6 9 11 12 13 14 14 13 11 8 5 5 5 5 8 12 13 13 12 9 6 5 5 5 4 2 -0 1 1 2 2 2 2 2 2 1 -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 7 7 6 6 5 4 4 4 4 3 4 4 4 3 4 4 4 5 5 5 4 4 3 3 3 4 4 5 5 5 5 5 4 4 4 5 5 6 7 7 6 6 5 4 4 5 6 7 6 5 6 7 7 6 5 3 4 4 4 4 3 2 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 10 13 18 22 24 19 -0 -4 7 6 4 5 7 7 6 6 4 3 2 2 3 3 4 5 8 8 7 6 5 4 1 -4 -7 -5 2 3 -0 -2 -2 1 6 5 3 4 6 0 -3 2 7 10 8 2 2 7 5 3 4 7 9 7 9 10 7 4 2 0 1 5 9 8 3 10 15 6 -2 -3 1 10 12 9 9 12 11 7 7 7 7 9 11 16 20 16 10 4 -2 -6 1 12 16 10 18 31 19 6 4 4 3 2 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 4 4 5 5 5 4 4 4 4 4 5 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 5 4 4 4 4 4 4 4 4 3 3 3 3 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 3 3 3 2 2 3 4 5 5 6 6 6 6 5 5 5 5 5 5 5 6 6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 6 7 8 10 13 15 16 16 14 11 7 5 5 5 6 9 12 13 13 12 9 5 5 6 7 6 3 1 1 2 1 2 2 2 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 6 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 4 4 4 4 5 5 5 5 4 5 5 5 5 5 6 6 5 5 4 4 4 5 5 5 5 6 8 9 9 7 5 4 4 3 3 2 1 1 0 -0 0 0 2 2 2 2 2 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 10 14 19 23 22 19 11 1 3 7 4 3 5 8 7 6 6 5 3 1 1 2 3 4 5 7 8 7 6 5 2 -3 -6 -4 0 4 3 -1 -6 -7 -2 3 0 -2 5 5 3 2 1 4 10 7 10 14 13 5 2 4 10 12 11 11 7 5 4 2 -1 1 5 8 5 2 10 11 5 -2 -8 -2 10 10 6 11 13 7 5 2 3 9 15 16 14 22 26 13 1 -7 -7 4 14 13 10 19 31 21 6 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 5 5 4 4 4 4 4 5 4 4 4 4 5 5 4 4 5 5 5 4 4 3 3 4 4 4 5 4 5 5 5 5 5 5 4 4 4 4 4 3 4 3 3 3 3 4 5 5 4 4 4 4 4 4 4 3 4 3 3 3 3 4 4 4 3 2 2 3 3 3 3 2 2 3 4 5 6 6 6 6 6 6 5 5 5 5 6 6 6 6 7 6 5 3 2 3 5 6 5 6 6 5 5 6 5 4 4 4 4 6 7 7 7 6 6 5 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 6 7 6 6 6 7 10 13 16 18 18 16 12 7 4 5 5 6 9 12 13 13 12 9 7 6 6 7 6 5 3 2 2 1 2 2 2 2 2 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 6 6 5 5 5 5 6 5 5 5 4 4 4 4 4 5 6 6 6 5 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 7 9 10 9 6 5 4 4 3 2 2 1 0 -0 -0 -0 1 1 2 2 2 3 3 4 4 5 5 6 6 5 5 5 5 5 5 5 4 4 4 3 4 4 3 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 10 16 24 27 23 15 10 5 4 9 9 3 -0 4 8 8 6 6 5 3 1 1 2 3 4 5 7 8 8 6 4 1 -4 -3 1 3 2 2 3 1 -3 -3 0 3 1 3 3 5 8 4 0 -1 1 11 14 10 4 3 5 9 12 13 10 5 3 5 4 4 4 5 5 4 6 7 3 1 1 -5 1 11 8 1 7 8 2 6 6 2 5 12 13 13 26 32 15 -1 -8 -4 7 12 7 8 18 32 23 6 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 4 5 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 4 3 2 3 4 4 3 2 2 2 2 3 4 4 3 2 2 2 3 3 2 1 1 3 4 4 5 5 6 6 6 6 5 6 6 6 6 6 5 6 6 6 5 3 1 -0 4 6 5 6 6 6 6 5 5 5 5 4 4 4 5 6 7 7 7 6 5 4 4 4 4 3 3 3 2 2 3 4 5 5 5 6 6 7 7 7 8 10 14 18 21 21 17 12 6 4 5 6 7 9 12 14 14 13 10 7 6 6 6 6 5 3 3 2 2 1 1 1 2 2 4 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 6 6 6 6 6 5 5 6 6 6 6 6 6 5 5 4 4 5 5 6 6 7 6 6 6 5 4 4 5 4 3 3 4 4 5 6 6 5 4 4 4 4 5 5 5 6 7 7 7 8 7 5 4 5 6 8 8 6 5 4 4 3 2 2 2 1 1 1 0 0 1 2 1 1 2 3 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 7 6 6 7 9 16 27 35 30 15 1 2 7 13 12 6 -2 -5 1 7 9 7 5 4 3 2 2 2 3 4 5 7 9 8 6 3 -0 -2 -1 3 4 1 1 3 7 11 9 7 7 5 1 1 8 13 8 3 -4 -1 8 7 5 6 5 8 11 12 11 8 5 3 3 7 9 6 4 4 6 11 10 6 5 5 2 3 12 8 -4 3 7 -1 8 10 2 1 6 7 14 30 32 15 -0 -5 1 9 9 5 5 15 33 25 6 4 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 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 4 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 3 1 1 3 4 5 3 2 1 0 1 3 4 5 4 3 2 1 3 3 2 1 1 2 4 4 4 4 6 6 7 6 6 6 6 6 6 6 5 5 6 6 5 8 8 -0 -1 4 5 6 6 6 6 6 6 5 5 5 4 4 4 5 5 6 7 6 6 5 4 3 2 2 2 3 2 2 3 4 5 5 5 5 5 7 7 7 9 10 15 20 25 24 18 12 8 6 6 7 7 8 10 12 13 13 11 8 5 5 6 5 4 4 2 2 1 -0 -0 1 2 3 5 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 8 8 7 5 5 5 5 4 3 3 4 4 5 5 5 5 4 4 4 4 4 5 5 7 7 8 10 9 7 4 3 4 5 6 6 5 4 3 2 3 4 3 3 3 3 2 1 1 1 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 9 14 26 36 36 24 7 -8 -4 10 8 3 -4 -10 -9 -2 6 10 9 5 4 3 3 2 3 4 5 6 8 10 9 5 1 -1 -0 1 3 6 6 5 4 4 6 9 11 10 5 0 2 9 16 16 15 5 2 2 1 1 3 9 15 15 12 9 6 5 2 2 7 9 4 2 3 7 13 12 10 7 6 4 4 11 6 -8 -2 6 1 10 9 1 2 7 6 16 32 29 12 -1 -2 5 11 9 5 5 14 30 24 7 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 4 4 3 3 4 4 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 6 7 6 4 2 2 3 4 4 4 4 2 1 2 4 5 6 6 4 2 1 2 3 3 2 2 2 5 5 4 4 5 6 7 7 7 6 6 6 6 6 5 5 5 5 7 13 14 3 -1 3 5 5 6 6 6 6 5 5 5 6 6 5 4 4 3 4 5 6 6 7 6 3 1 2 3 3 3 4 4 4 5 5 5 4 4 6 7 7 8 10 14 21 26 25 20 14 10 7 6 7 7 6 8 9 11 12 11 10 8 7 7 6 5 4 3 3 1 1 1 1 2 3 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 5 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 10 9 6 5 6 6 6 4 3 3 3 3 4 5 6 6 5 5 5 5 5 5 5 6 7 9 10 8 6 6 5 5 4 4 4 4 3 3 3 4 5 5 4 5 4 3 2 2 3 4 4 3 3 2 2 3 3 3 3 4 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 6 5 5 5 5 5 5 5 6 6 7 7 8 7 7 9 13 21 28 30 23 16 5 -7 -9 -5 -13 -13 -12 -12 -9 -2 5 11 10 6 4 4 3 3 3 4 5 6 8 10 8 2 -1 -1 1 1 4 10 11 8 9 9 3 1 1 3 2 2 6 11 18 26 23 12 6 1 -2 -5 0 8 14 13 11 7 4 2 -1 5 11 8 3 0 1 6 10 11 13 13 8 4 5 10 7 -3 -3 2 5 14 10 5 3 2 3 17 31 26 9 -1 1 7 12 11 7 6 16 27 20 6 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 4 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 6 5 5 6 7 6 4 3 3 3 4 4 4 4 3 3 3 3 5 6 7 6 4 2 2 3 4 4 2 4 5 5 5 5 5 6 6 6 7 7 7 6 6 5 5 4 4 5 9 16 14 4 -0 3 5 5 5 6 6 6 6 5 5 6 6 6 6 8 4 1 3 5 6 6 8 6 2 2 3 3 4 4 4 5 5 5 5 5 4 5 7 7 7 9 12 17 24 26 22 16 11 8 6 5 5 5 6 7 8 8 10 10 10 10 10 10 9 8 6 4 2 2 2 2 2 3 5 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 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 7 7 6 6 7 10 10 7 4 4 6 7 6 4 3 3 3 3 5 6 6 6 6 5 5 5 5 4 4 6 7 8 10 10 10 10 9 7 5 4 3 3 2 3 4 4 4 4 6 6 5 4 4 5 5 4 2 2 2 1 1 1 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 5 6 6 6 8 9 9 10 11 14 18 20 19 13 8 9 7 -3 -11 -12 -14 -13 -7 -5 -2 3 9 12 11 7 5 3 3 3 4 4 5 6 8 8 5 -0 2 4 1 4 6 11 10 7 9 8 1 0 -1 0 1 6 8 10 19 27 21 14 10 6 2 -2 1 4 7 10 8 7 2 -3 -3 11 17 10 5 1 0 5 7 7 10 12 9 6 6 8 10 7 6 3 8 11 13 8 2 -1 9 23 27 19 6 0 3 8 12 11 6 7 18 27 18 5 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 6 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 7 8 6 3 2 3 4 3 3 4 5 5 5 5 5 5 5 5 6 7 7 6 5 5 4 3 3 4 10 15 11 3 1 4 5 5 5 6 6 6 6 6 6 6 5 6 7 10 7 2 3 4 5 5 6 7 5 3 4 4 4 4 4 5 5 5 6 5 5 5 6 7 7 6 7 11 16 19 19 14 10 7 5 5 5 4 5 5 5 5 6 7 9 10 11 12 12 11 9 7 3 2 3 3 3 4 5 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 3 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 7 7 6 6 9 10 7 4 3 5 7 8 6 4 3 3 4 5 6 6 7 6 5 5 5 5 4 5 5 6 7 9 10 12 13 13 13 11 9 6 5 4 3 3 3 2 3 6 8 8 7 7 7 5 3 1 1 -0 -1 -1 -0 0 1 1 1 1 2 2 2 3 3 3 3 4 3 3 4 4 4 4 4 4 4 5 4 4 5 5 4 5 4 5 5 5 5 5 5 5 6 7 6 6 6 6 9 12 10 14 16 15 17 15 9 2 1 7 9 3 -4 -2 1 1 3 3 4 8 15 16 13 8 5 4 4 4 5 5 6 7 8 6 3 1 3 4 3 6 7 6 5 6 6 3 -3 -3 -0 3 7 12 8 7 13 16 13 12 11 10 8 4 2 3 4 8 5 4 2 -3 -0 13 17 12 7 1 -0 6 8 5 5 4 6 9 8 8 10 10 9 7 9 3 12 14 9 9 16 22 18 8 2 1 2 7 11 9 5 8 20 28 17 5 4 5 4 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 6 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 5 7 9 9 5 3 3 3 2 2 4 6 7 6 6 6 6 5 5 5 6 6 6 6 5 4 3 3 6 8 8 6 4 3 3 4 4 5 6 6 6 6 6 6 6 6 6 7 8 9 6 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 5 6 6 6 5 5 6 6 5 4 4 6 8 9 9 6 4 3 4 4 4 5 4 3 3 4 5 6 8 9 9 9 10 13 12 7 4 3 4 4 4 5 7 9 10 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 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 8 8 7 6 8 9 8 4 3 3 7 9 8 5 3 3 4 5 6 6 6 6 6 6 5 5 5 5 4 4 4 5 6 8 10 12 15 15 14 11 9 6 4 3 2 1 2 5 8 9 9 8 6 4 2 0 -1 -1 -1 -1 -1 -0 1 0 0 0 1 1 1 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 6 7 7 7 6 6 6 10 14 15 16 14 10 11 11 8 4 8 12 10 6 6 10 12 11 9 6 6 11 18 19 15 10 6 5 5 5 5 5 6 8 8 6 4 2 1 4 8 8 5 2 6 5 3 9 9 8 4 2 4 7 4 4 7 6 5 5 4 8 13 11 4 2 5 5 2 1 5 6 10 10 11 10 6 1 2 7 6 2 1 3 6 7 8 9 6 5 5 9 10 -2 6 19 21 18 16 13 5 -2 0 1 2 7 11 9 5 9 22 26 14 4 5 5 5 5 5 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 5 4 5 4 4 4 4 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 6 6 5 4 3 4 4 3 4 4 4 5 4 4 5 8 11 11 7 3 2 1 -0 -0 2 6 6 6 6 7 7 6 5 6 5 6 6 5 5 7 7 7 8 8 4 1 3 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 6 6 5 5 5 4 4 5 5 6 6 5 4 4 6 6 4 2 0 -0 -0 1 1 2 2 2 3 5 4 4 3 3 3 4 5 7 6 5 4 7 14 18 15 9 5 4 4 4 5 6 8 9 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 2 2 2 2 3 3 2 3 3 3 3 4 4 6 8 7 7 7 9 9 6 3 2 5 8 8 6 4 4 4 4 5 6 6 6 6 5 5 5 6 5 5 4 3 2 3 3 5 7 10 13 14 15 14 11 7 3 2 2 3 4 7 7 7 6 4 3 1 -1 -1 -1 0 1 1 1 1 1 1 1 1 0 1 1 1 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 7 7 7 7 6 7 13 19 19 14 8 6 8 10 11 14 16 10 4 5 10 14 16 15 13 9 8 12 19 21 17 13 8 5 5 5 4 4 5 6 7 7 6 4 3 6 11 10 4 3 7 6 4 9 12 17 12 6 3 -3 -4 3 7 3 1 -1 -3 7 18 15 5 1 6 5 2 5 12 16 17 13 10 8 4 -1 4 6 6 1 -0 8 8 6 10 8 2 0 5 10 13 -1 -4 12 25 22 12 1 -6 -6 -1 -1 3 9 11 9 7 8 18 26 16 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 4 3 4 4 4 4 4 3 3 3 4 4 4 3 4 4 4 4 4 5 5 5 5 4 4 4 5 5 4 4 4 4 3 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 4 5 4 4 4 3 3 4 4 5 4 4 4 5 5 4 3 3 3 3 4 4 4 4 4 4 4 5 7 12 14 11 5 1 -1 -2 -3 -0 3 4 5 6 7 7 6 6 6 7 8 8 7 6 9 12 12 10 7 4 0 3 6 5 4 3 3 3 4 5 5 5 5 5 5 5 5 6 6 7 7 7 8 7 7 7 7 7 7 7 6 5 5 5 5 4 5 6 7 6 4 3 5 6 5 4 1 -0 -2 -2 -1 0 1 2 3 4 4 3 3 3 2 3 5 5 4 2 1 4 10 16 17 14 8 4 3 3 4 6 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 7 5 4 4 3 2 2 2 2 3 3 2 2 2 1 2 2 3 4 6 7 7 6 7 10 9 5 2 2 6 8 8 6 5 4 4 3 4 4 5 5 5 6 6 5 6 5 5 4 3 3 3 3 3 5 8 11 13 15 15 12 7 4 3 4 5 5 4 4 3 2 2 1 -1 -0 2 4 4 3 3 2 1 1 1 1 1 1 1 2 2 2 2 2 2 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 6 7 7 7 8 9 12 18 21 17 9 6 7 8 8 9 17 9 -4 -5 4 11 13 15 16 15 12 11 16 21 22 19 16 10 6 5 5 3 3 5 6 7 7 5 4 2 3 6 8 7 8 10 7 7 4 10 14 11 9 13 -2 -7 5 7 3 4 1 1 11 19 11 2 3 5 6 9 14 15 14 12 12 13 9 1 -2 5 7 6 1 5 14 10 8 13 7 1 5 9 11 12 5 -4 9 27 20 5 -8 -12 -0 4 3 7 10 9 8 7 6 14 26 21 7 5 5 5 5 5 5 5 5 5 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 3 4 4 4 5 5 4 3 2 3 4 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 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 4 4 5 5 5 5 5 4 4 4 3 3 4 5 4 4 4 5 5 4 3 3 3 3 3 4 4 4 5 5 5 5 6 10 13 12 8 2 -1 -3 -5 -4 0 4 6 5 5 5 5 5 5 7 8 9 9 8 9 14 16 12 7 6 5 6 7 6 5 4 2 2 3 4 5 5 5 5 4 4 5 5 5 6 6 7 7 8 8 7 8 8 7 6 6 6 6 5 5 4 4 5 6 6 5 4 3 4 5 6 5 3 2 1 1 1 2 2 3 3 3 2 2 2 3 2 2 2 2 1 0 2 6 10 11 12 9 5 3 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 7 8 8 7 6 6 6 6 6 6 6 6 6 5 4 2 1 1 2 2 3 4 5 6 5 6 9 10 8 4 2 5 9 11 10 7 5 4 3 3 3 4 5 5 5 5 5 5 5 5 5 6 5 4 3 3 4 5 7 10 12 16 16 12 7 6 6 6 4 2 2 1 1 1 2 2 3 4 5 5 5 4 4 3 2 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 6 7 7 7 10 15 18 19 16 11 8 7 8 6 5 5 9 -2 -14 -4 7 11 12 14 16 17 17 18 20 21 20 18 16 11 7 5 4 3 3 6 7 7 6 5 5 4 4 3 4 8 12 11 8 5 -2 2 7 11 17 17 -2 -4 5 4 5 10 8 6 13 13 3 1 5 5 8 13 15 13 9 2 3 9 5 -1 4 11 9 4 1 6 10 8 11 13 6 4 8 7 8 10 14 8 19 29 17 -6 -19 -8 14 20 18 17 13 9 6 6 6 12 25 24 10 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 2 1 2 4 5 4 3 3 3 4 4 3 3 3 4 4 4 4 5 4 4 5 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 2 2 2 1 1 2 3 3 3 3 3 4 4 5 5 5 5 5 6 5 5 4 4 4 4 5 5 5 5 5 5 4 3 3 3 4 4 4 5 5 5 5 5 5 6 7 9 10 8 4 1 -1 -3 -4 -0 4 5 5 4 3 3 4 4 4 5 6 7 6 6 12 19 13 2 3 8 8 7 7 7 6 5 3 2 3 4 4 4 4 4 4 4 4 4 5 6 6 7 7 8 8 8 7 7 7 6 6 6 6 6 4 4 4 5 7 6 5 3 2 3 5 6 6 6 5 4 4 4 4 4 3 2 2 2 2 3 3 2 1 2 1 1 1 4 7 8 8 7 5 4 3 3 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 6 7 8 9 10 10 10 10 10 10 8 6 3 1 2 2 2 3 5 5 5 5 7 9 10 9 8 8 10 11 10 9 7 5 3 2 2 3 4 5 5 5 5 5 4 4 5 6 6 6 5 3 3 4 6 7 9 12 15 15 12 9 8 7 4 2 0 0 0 1 3 4 4 5 6 5 5 5 5 4 3 3 2 2 2 3 2 3 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 6 7 7 6 9 18 19 14 10 9 8 8 7 4 2 2 1 -5 -10 1 9 10 10 12 15 16 20 23 24 20 15 14 14 13 9 6 4 4 4 6 8 7 5 8 6 6 9 7 5 6 7 6 7 3 -3 -2 -0 2 18 12 -2 3 4 4 10 18 10 6 6 2 1 8 9 6 10 12 10 10 8 5 3 5 -3 -2 10 14 11 5 3 1 -2 4 13 9 4 8 11 7 0 7 19 15 26 28 12 -15 -20 3 24 30 29 25 16 10 7 5 5 11 23 25 12 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 2 1 1 3 6 6 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 1 1 1 2 3 4 3 4 4 4 4 4 5 5 5 5 6 6 5 5 5 4 5 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 2 0 1 3 4 5 4 3 3 4 4 3 3 3 4 3 4 9 19 12 -6 -4 5 6 6 6 7 9 9 8 5 3 4 4 3 3 3 4 4 4 4 5 5 5 6 6 7 8 8 7 7 7 6 6 7 7 7 5 3 4 5 6 6 6 4 2 2 3 5 6 7 8 9 8 7 5 4 4 3 2 1 2 3 3 2 3 3 2 2 1 3 6 6 6 6 5 4 3 2 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 4 5 7 8 9 10 10 11 13 14 15 12 7 4 2 1 2 3 4 5 4 4 4 6 10 13 15 13 10 7 7 8 9 8 6 3 2 3 4 5 5 5 4 4 4 4 4 5 5 6 6 5 4 4 5 6 7 9 12 14 15 13 11 8 5 2 1 0 1 2 3 4 5 5 5 6 6 5 5 5 5 4 3 3 2 2 3 3 4 4 4 3 3 3 4 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 5 6 6 6 7 6 5 6 16 20 12 9 9 8 7 6 4 2 3 1 -2 -2 4 6 6 7 8 12 14 18 26 26 18 11 10 11 12 10 6 4 5 5 6 7 5 7 8 2 5 13 13 7 4 2 3 4 3 2 5 -1 -4 3 -2 -0 11 9 4 12 20 10 5 -0 -2 8 17 12 8 7 5 6 9 6 4 8 10 0 -1 9 12 9 1 -4 -7 -3 7 9 3 3 10 12 8 0 7 14 16 28 26 8 -12 -9 10 20 22 24 21 14 11 8 6 4 10 22 26 14 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 2 1 2 4 6 7 5 4 4 3 4 4 4 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 3 4 3 4 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 5 5 4 4 5 5 5 6 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 3 1 4 5 4 4 3 3 4 5 5 4 4 5 5 5 5 5 4 4 5 8 16 9 -5 -4 2 4 3 3 5 8 11 12 12 11 8 5 3 2 2 2 3 4 4 4 5 5 5 6 6 7 7 7 6 6 6 6 7 8 7 5 4 4 4 5 6 6 5 4 2 2 3 5 6 8 10 12 11 9 6 5 4 3 2 2 2 3 3 3 3 2 2 1 2 4 4 4 5 5 4 3 2 2 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 2 3 4 5 6 6 7 8 10 13 16 18 14 8 4 2 2 2 3 4 5 3 2 3 7 12 17 15 8 3 2 4 8 8 6 4 4 4 5 6 6 5 5 5 4 4 4 4 4 5 6 5 5 4 5 5 6 7 9 11 13 14 12 10 6 4 3 2 2 2 3 3 4 5 5 5 6 5 5 5 5 5 4 3 2 2 3 3 4 4 3 3 3 3 4 4 3 3 3 4 4 5 5 5 4 4 4 4 4 4 5 6 6 6 7 6 5 4 13 20 17 13 10 7 5 4 4 3 6 7 4 4 4 3 3 4 6 9 11 16 26 27 16 9 7 9 9 8 5 5 5 5 4 5 5 9 8 5 8 10 5 3 5 4 4 2 3 9 14 11 10 3 -8 -3 4 6 3 8 10 4 6 2 2 12 13 8 7 3 0 5 8 3 2 5 9 10 2 5 8 5 1 -2 -2 1 2 -4 -6 3 12 10 2 0 5 4 14 29 26 8 -5 0 11 13 12 13 13 10 9 8 5 4 10 24 29 15 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 3 2 3 5 7 8 6 4 3 3 4 5 5 6 7 7 6 4 4 4 4 5 5 4 4 4 3 4 3 3 3 3 3 4 4 3 3 3 4 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 6 8 7 2 3 3 2 3 2 3 4 5 4 4 5 5 5 6 7 6 5 5 6 9 12 7 1 2 4 4 3 2 2 5 9 13 17 20 16 9 4 1 1 1 2 3 4 5 5 5 5 5 5 5 6 7 6 6 5 6 7 8 8 7 6 5 4 4 5 6 6 5 4 3 3 4 5 6 9 13 15 14 12 8 5 3 3 3 2 2 3 3 2 3 2 1 0 1 2 2 3 6 6 4 2 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 2 3 3 3 3 4 4 4 5 7 11 16 17 14 9 5 2 1 2 3 4 4 2 1 3 7 12 11 6 2 0 1 3 5 5 5 5 6 6 5 5 5 6 6 5 5 4 4 3 3 3 4 5 4 4 4 5 6 7 9 11 12 12 11 8 6 5 4 4 3 4 3 3 4 5 5 6 5 5 4 4 5 4 3 2 2 2 3 3 3 2 2 3 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 4 5 5 5 6 6 6 5 4 4 10 22 26 18 11 5 4 3 0 3 8 9 7 5 2 1 2 3 5 7 9 14 24 26 16 8 6 6 5 5 4 4 5 4 3 4 5 7 8 11 11 6 2 4 5 4 3 2 5 11 11 7 10 14 12 6 -3 -2 2 5 -1 1 8 7 6 11 11 9 6 1 0 5 8 7 3 -1 1 8 5 8 7 5 -1 -5 5 17 9 -7 -7 5 10 2 -2 1 4 -0 12 27 25 9 1 6 12 13 10 8 7 7 7 6 3 4 13 25 22 8 5 7 5 6 6 5 5 4 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 4 4 4 4 3 3 4 6 7 5 3 3 3 4 5 5 6 8 8 7 5 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 3 3 3 3 4 4 4 4 5 5 5 4 4 5 5 5 4 4 4 4 4 5 5 6 6 5 5 5 5 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 6 6 7 7 7 6 6 6 9 10 7 4 4 2 0 0 3 4 4 4 4 4 4 5 5 6 5 5 6 6 7 8 8 6 5 5 5 5 3 2 3 4 7 15 23 23 15 6 2 2 1 2 2 3 5 5 4 4 4 4 5 5 5 6 5 6 6 6 6 7 8 7 5 4 4 5 5 6 6 5 4 4 4 4 5 7 10 14 17 17 14 10 7 5 4 4 2 1 1 1 3 4 2 1 1 1 1 2 6 8 6 4 3 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 3 3 3 3 3 3 3 3 3 3 5 9 14 16 14 10 6 3 2 2 3 3 2 1 1 1 4 6 5 3 1 -2 -1 1 2 4 6 6 5 4 3 4 5 6 6 6 6 6 5 3 2 2 3 4 3 3 3 5 6 7 9 10 11 11 10 8 6 5 4 4 4 4 3 3 4 4 5 5 5 4 4 4 4 4 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 5 5 5 6 6 5 4 4 5 12 27 29 19 10 4 4 1 -4 -1 5 7 5 3 2 2 3 4 5 7 8 12 21 24 16 8 5 3 3 4 4 4 5 5 5 5 4 4 8 11 10 8 6 9 7 3 2 3 6 7 4 4 5 14 23 18 7 -1 -1 2 -0 4 8 7 7 13 17 15 6 1 2 6 8 8 4 -1 -4 -1 5 9 8 2 -8 -8 13 32 19 0 -1 4 -1 -5 -0 3 2 2 13 22 19 10 7 11 15 14 11 8 5 6 7 5 2 4 11 16 10 5 11 14 8 5 6 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 5 5 5 5 5 4 4 5 4 4 4 3 4 5 6 4 2 2 3 4 5 5 6 8 8 7 6 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 5 5 6 6 6 7 8 9 8 7 6 6 7 9 8 6 5 4 -0 -1 3 5 6 5 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 6 5 6 5 4 4 4 4 7 16 22 18 11 5 4 3 3 4 4 4 5 4 3 3 3 4 4 5 5 5 6 6 5 5 6 7 6 5 4 3 5 5 6 5 5 5 5 5 4 4 5 7 10 15 17 17 15 11 9 7 8 7 5 3 3 4 5 3 3 3 2 0 2 6 8 9 7 4 4 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 3 2 3 3 3 3 3 4 4 4 3 3 3 3 5 8 11 13 14 12 8 5 4 4 3 3 2 1 1 1 2 3 2 1 -2 -2 -0 2 3 5 5 4 3 3 3 4 6 7 7 7 7 7 5 2 0 1 2 2 2 2 3 5 7 8 9 10 10 9 8 7 5 4 4 4 4 4 2 2 4 4 5 5 4 4 4 4 3 3 4 3 3 3 2 2 3 3 3 4 4 4 3 4 4 4 5 5 5 4 4 4 5 5 5 5 6 6 6 5 4 4 7 15 27 26 16 8 4 4 1 -2 0 1 2 2 3 3 3 5 6 7 7 7 10 16 19 15 10 6 4 3 4 4 4 5 7 7 7 7 5 6 9 12 8 6 9 6 4 3 8 9 7 12 12 0 0 10 13 9 2 -2 1 4 6 8 7 4 8 17 15 5 1 4 7 8 7 5 2 -1 -2 2 4 7 3 -3 4 15 17 10 4 0 -1 -5 -4 1 2 2 8 14 15 11 9 12 14 15 13 10 7 4 6 7 4 1 3 7 9 7 7 15 24 16 6 6 6 6 6 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 4 5 4 5 5 5 5 5 5 5 5 4 4 5 4 5 4 3 4 5 5 4 2 2 3 4 5 5 6 7 7 7 6 5 3 3 3 3 4 4 4 4 5 4 4 4 3 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 5 5 6 7 8 9 9 11 11 10 7 5 5 5 8 7 6 6 5 1 -2 3 8 9 6 5 4 4 4 5 5 5 5 5 5 5 5 5 6 7 7 6 6 6 6 5 5 4 3 7 13 16 14 10 7 5 4 4 4 5 5 5 4 2 2 2 3 4 4 5 5 6 6 5 5 5 6 6 5 4 5 5 5 6 5 5 5 5 5 5 4 4 7 10 12 14 14 13 12 12 12 13 12 9 7 7 6 5 5 4 3 2 3 4 6 9 9 7 6 5 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 7 6 6 6 5 5 6 6 5 5 5 4 4 4 4 4 6 9 12 14 14 13 12 10 7 5 5 4 2 1 1 1 1 1 0 1 1 2 3 3 4 4 4 5 4 4 5 5 5 6 7 8 7 4 1 1 1 2 1 1 2 4 5 6 7 8 9 9 8 7 6 5 5 5 5 5 3 3 4 4 4 3 4 4 4 3 3 4 4 4 4 3 2 2 2 3 3 4 4 4 3 4 4 4 5 5 5 4 4 4 5 6 6 6 6 7 6 4 3 4 8 18 27 22 12 5 2 3 5 7 9 3 -0 0 2 3 5 6 8 9 8 7 8 11 13 12 9 7 5 4 4 3 4 7 7 6 7 9 7 6 9 13 9 5 4 5 6 4 8 9 12 21 10 -3 0 4 2 3 1 1 4 6 8 10 5 0 0 6 4 4 3 4 8 10 9 5 2 2 6 8 6 7 4 1 5 5 -1 2 8 5 -1 1 4 5 7 10 13 13 8 4 7 13 17 16 12 8 5 4 7 7 3 1 2 5 7 7 8 17 29 22 7 5 5 6 5 5 5 5 4 4 5 5 5 4 4 4 3 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 6 5 3 2 3 4 5 5 5 6 7 9 9 8 7 4 3 3 4 5 5 5 5 5 5 4 4 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 7 6 5 6 8 10 11 12 14 15 13 9 5 2 1 4 7 7 6 6 6 4 1 3 8 8 6 5 4 5 6 6 6 6 7 6 6 5 5 5 5 6 7 7 7 6 6 6 6 4 3 3 6 9 11 11 10 8 5 4 4 5 6 6 4 2 1 1 2 3 4 4 5 5 5 6 5 5 5 6 5 5 5 6 6 5 5 5 5 6 6 5 4 4 5 7 9 11 12 12 13 14 15 16 16 14 13 12 9 7 6 5 4 3 3 5 6 7 9 9 8 7 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 11 11 12 10 8 10 11 9 6 5 5 6 6 5 5 5 4 5 7 11 14 18 21 20 15 11 9 8 6 4 4 4 3 3 3 2 2 3 3 3 4 5 5 7 7 5 4 3 3 4 5 7 7 5 3 2 2 1 1 2 2 2 4 5 6 6 7 8 8 8 7 7 7 6 6 6 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 3 3 4 4 4 4 4 4 5 4 4 4 4 5 6 6 7 7 7 4 3 3 7 12 21 26 18 7 3 4 8 10 13 8 0 -1 1 2 3 5 7 11 12 11 8 7 8 8 7 6 6 6 5 3 4 6 8 6 6 8 7 6 7 11 9 7 4 3 3 5 4 7 9 15 21 7 3 7 2 -3 -1 2 6 7 6 8 9 4 2 2 -2 -3 3 5 6 10 13 12 7 0 0 8 11 6 3 2 4 2 -3 -3 1 8 10 6 6 9 9 10 11 11 8 3 2 8 13 18 16 12 8 5 5 6 6 2 1 3 5 6 7 9 17 28 25 10 5 5 6 6 6 5 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 4 4 5 6 5 6 5 4 5 5 5 5 4 4 4 5 6 4 2 2 4 5 5 5 4 5 6 9 11 11 10 7 5 5 6 7 6 6 6 5 4 3 3 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 7 6 5 6 8 11 13 14 17 18 17 12 6 1 -1 -0 4 7 7 6 6 6 6 5 4 6 6 5 5 5 6 6 7 7 8 8 8 7 7 5 5 5 5 7 7 8 8 7 6 5 5 3 2 3 4 6 7 8 8 7 5 4 5 7 7 5 4 3 2 2 2 3 3 3 4 5 6 6 6 5 5 5 5 5 6 6 5 5 5 6 6 6 6 6 5 4 5 7 8 10 11 13 15 17 16 13 14 16 17 15 12 9 7 5 4 5 5 6 6 8 9 9 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 13 14 13 14 18 17 11 6 4 5 6 6 6 6 5 4 4 4 6 9 15 21 23 19 15 13 12 11 10 9 9 8 7 5 4 3 3 3 4 4 5 6 8 9 7 4 3 2 2 3 4 5 5 4 4 3 2 2 2 2 2 3 4 5 5 6 7 8 8 8 8 8 8 8 6 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 3 2 1 1 2 3 3 4 4 4 4 4 4 4 4 4 5 6 6 7 8 8 6 3 2 6 11 18 26 26 15 5 4 9 13 9 6 -1 -3 -1 1 2 4 5 7 12 15 14 9 7 7 6 3 3 5 6 5 4 6 9 8 6 8 11 6 3 4 8 7 5 2 3 3 2 4 5 10 15 14 6 7 4 -1 0 2 5 9 9 6 6 6 4 5 4 1 1 6 9 11 14 15 13 9 1 -1 5 8 4 0 2 8 6 -4 -4 3 6 8 9 9 9 8 8 7 5 1 -0 5 9 11 15 17 14 10 6 6 6 4 1 1 4 6 6 6 8 16 28 27 11 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 6 5 3 2 3 4 5 5 5 4 4 5 7 11 14 14 12 9 8 8 8 7 6 5 4 3 3 4 4 4 5 5 5 6 5 5 5 5 5 5 4 5 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 8 11 14 15 17 20 21 16 10 4 1 2 4 7 7 7 7 6 6 7 6 2 5 6 5 6 6 6 6 6 7 8 9 8 8 8 6 5 5 5 6 7 8 11 8 4 4 5 4 3 2 3 4 5 6 6 6 5 5 6 7 8 9 10 9 9 6 4 3 3 3 4 4 5 6 6 6 5 5 5 6 6 6 5 4 5 5 6 6 6 6 5 5 4 5 6 7 8 11 14 13 10 9 11 15 19 20 17 13 9 6 5 7 7 6 6 6 7 9 10 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 10 12 17 22 20 13 7 5 5 6 6 6 5 5 4 3 3 4 4 8 13 15 13 12 13 13 12 13 12 11 10 9 8 6 4 3 3 4 5 5 6 8 9 8 5 4 4 4 3 3 4 4 4 4 3 3 3 3 3 2 3 4 4 5 5 6 7 7 7 8 8 9 8 8 7 6 6 6 5 5 5 4 4 5 6 5 4 4 4 4 3 3 2 1 1 2 3 3 3 3 4 4 4 4 4 4 4 6 6 7 8 9 8 5 2 4 11 19 27 32 25 13 6 5 5 6 -0 -3 -3 -3 -0 1 3 4 5 7 11 18 17 11 7 6 6 4 2 3 4 3 3 6 9 8 5 8 11 8 6 6 11 11 4 0 0 2 3 5 7 10 8 0 1 5 2 2 5 7 8 9 8 6 5 5 5 5 3 2 6 11 13 13 14 16 10 7 5 2 2 6 5 2 3 8 7 -1 -2 6 9 6 8 9 9 10 8 4 0 1 6 10 8 8 10 14 15 12 8 6 5 3 1 3 5 6 5 5 8 19 30 26 11 4 5 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 3 3 3 4 5 5 5 4 3 4 5 8 12 14 13 11 9 8 7 7 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 5 5 5 5 6 6 6 6 5 5 6 6 7 8 11 14 16 17 18 21 20 14 8 7 6 7 7 7 7 7 7 6 6 8 7 1 -1 4 5 6 6 6 6 7 7 7 8 8 8 8 7 6 6 6 6 7 7 8 7 5 5 5 4 3 2 3 3 4 5 5 5 5 5 6 7 8 10 14 17 16 12 7 4 3 3 3 3 4 5 6 6 5 5 5 6 6 6 5 4 5 5 6 6 6 6 5 5 4 4 4 3 5 7 9 6 4 7 10 14 17 19 19 15 10 7 6 8 8 8 7 6 6 7 9 10 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 6 8 12 16 18 16 11 8 7 6 5 5 5 5 4 3 3 2 2 3 5 6 7 7 10 11 11 10 10 9 9 11 11 8 6 5 4 5 6 7 7 7 8 8 7 6 5 6 5 4 4 4 5 5 4 3 4 4 3 3 2 3 3 4 5 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 6 6 6 7 7 7 6 5 5 4 4 3 2 1 1 2 3 3 3 4 4 4 4 4 4 4 4 6 7 7 9 10 7 3 4 12 22 30 35 33 20 11 5 -1 -5 -5 -9 -7 -4 -1 0 2 4 5 6 7 11 19 20 13 8 6 6 6 5 5 4 2 1 2 7 6 5 8 10 13 8 9 14 13 10 7 3 1 3 8 14 11 3 -4 1 7 4 5 5 7 9 7 6 5 4 4 5 5 4 4 9 14 14 14 13 15 3 4 13 8 0 2 4 5 5 7 8 7 4 9 13 7 4 6 10 8 10 5 1 9 19 15 8 7 8 10 14 13 10 7 6 4 3 4 6 6 5 4 12 26 31 19 7 4 5 6 6 6 6 6 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 5 5 4 4 3 3 3 3 4 5 5 5 4 3 2 3 5 7 9 10 9 8 7 6 6 6 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 5 5 5 5 6 7 10 13 16 16 16 16 17 15 11 8 8 8 8 9 7 7 8 7 6 6 6 6 3 -1 2 4 5 5 6 6 6 7 7 7 8 8 8 8 7 6 6 6 7 7 7 7 6 6 6 5 4 2 2 3 4 5 5 6 5 6 7 8 7 7 10 17 20 17 10 6 4 3 3 2 3 5 6 6 6 6 6 6 5 5 4 4 4 5 5 5 6 6 6 5 5 4 4 3 3 5 4 3 5 7 10 12 14 16 17 15 11 9 8 8 10 10 10 9 9 8 8 10 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 4 5 6 9 12 15 15 11 7 4 4 4 5 6 5 4 3 2 2 2 2 3 4 5 6 7 7 7 7 8 9 11 11 8 7 7 7 8 9 8 7 7 7 8 8 7 6 7 7 6 6 7 7 6 5 4 4 4 3 2 3 3 2 3 4 5 5 5 4 4 4 4 5 6 8 9 9 10 9 9 9 9 9 9 9 8 8 7 6 6 6 5 3 2 2 2 2 3 3 3 3 3 3 3 3 3 5 6 7 8 10 9 5 4 11 24 32 32 29 23 16 10 3 -5 -6 -7 -9 -8 -4 -1 1 3 4 5 6 8 12 20 23 15 9 7 5 6 7 5 4 5 3 2 8 8 5 6 11 11 7 11 11 12 12 14 9 2 2 7 12 8 3 4 6 9 7 5 2 3 6 7 5 3 3 6 8 7 4 5 10 17 16 12 14 12 -0 5 19 15 5 3 4 4 6 5 3 5 3 5 11 9 5 6 8 7 9 4 4 17 24 16 8 8 9 10 12 12 11 9 6 5 4 5 6 6 5 6 16 31 26 11 5 4 5 6 6 6 6 6 5 5 5 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 5 5 4 4 3 3 3 3 3 3 4 4 5 4 4 2 2 3 4 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 5 6 5 5 5 5 5 5 4 4 5 4 4 4 5 6 6 6 6 5 5 5 6 7 8 10 14 15 15 13 12 10 8 6 7 8 9 9 9 7 7 8 7 7 6 6 4 -1 -3 2 4 4 5 5 6 7 7 7 6 6 7 8 7 7 6 6 6 6 7 8 10 5 4 6 6 5 4 3 3 3 4 6 6 6 6 6 7 7 5 5 10 16 18 14 9 7 5 4 3 4 5 5 6 6 6 6 6 5 4 4 4 4 5 5 4 5 6 6 6 6 5 5 5 4 4 4 4 6 8 10 12 13 14 15 15 13 11 10 9 10 9 11 14 15 12 10 10 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 5 5 6 8 11 13 11 7 4 4 6 8 9 7 6 5 3 2 2 2 2 3 3 4 4 4 5 5 6 7 10 10 8 8 8 10 11 11 9 6 5 5 6 7 6 6 6 7 8 8 8 9 8 6 6 4 4 3 3 3 2 2 1 2 3 4 4 3 3 3 3 4 5 6 8 9 10 10 10 10 10 11 11 10 10 9 9 9 9 8 6 5 3 2 2 3 2 3 3 3 4 4 3 3 4 5 6 7 9 10 7 4 9 21 31 32 26 16 8 5 5 6 4 1 -5 -8 -6 -4 -1 2 4 5 6 6 8 13 19 24 19 11 9 7 6 6 2 3 7 7 6 8 7 4 4 10 8 10 9 6 7 10 14 10 2 0 4 5 3 6 8 6 5 8 4 2 2 5 9 6 1 4 10 13 11 7 5 7 16 13 6 14 9 2 9 15 15 11 10 7 4 8 8 3 -1 -1 4 9 11 10 9 6 14 10 5 11 20 19 12 9 9 10 11 11 12 12 9 5 3 3 6 7 7 5 9 20 29 20 7 4 5 5 6 6 6 6 6 5 4 5 5 5 5 5 4 5 5 4 4 4 4 5 6 5 5 5 5 4 4 4 4 4 5 6 6 5 5 5 4 3 3 4 4 4 4 3 3 4 4 4 3 2 2 3 4 4 5 6 6 6 6 6 6 7 7 7 6 6 7 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 7 9 12 13 13 12 10 8 5 2 1 5 9 10 11 8 5 6 6 7 7 7 7 5 -4 -9 -2 3 3 4 5 6 7 7 9 7 4 5 6 6 6 6 6 6 6 6 7 11 7 3 7 7 6 6 5 4 4 4 5 6 7 6 7 6 6 6 4 6 10 14 16 14 11 8 5 4 4 5 5 5 6 6 6 6 4 4 5 5 4 5 4 4 4 6 6 6 6 6 6 5 5 5 5 4 5 7 10 11 12 12 13 13 14 13 11 9 9 8 9 15 20 19 17 14 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 5 4 5 6 7 9 9 8 7 8 11 14 12 11 9 7 5 4 3 3 2 2 2 2 2 3 4 4 4 4 6 8 8 8 9 11 12 9 7 5 3 3 4 5 5 5 5 6 7 8 8 9 9 8 7 6 5 4 3 3 2 1 0 1 2 3 3 3 3 2 2 2 4 5 7 8 9 9 9 9 8 8 9 10 9 10 10 10 10 9 7 5 3 2 3 3 3 3 3 3 4 4 4 4 4 6 7 9 11 10 7 8 15 21 23 26 24 14 1 1 10 14 11 2 -8 -9 -5 -2 1 3 5 5 5 6 8 11 16 21 20 16 13 10 7 5 1 4 7 7 6 6 4 2 3 5 9 12 6 6 2 2 4 3 -0 2 5 5 3 7 5 -0 -3 1 2 3 2 5 9 5 1 3 10 14 12 10 8 6 10 6 3 15 6 3 8 9 7 8 12 11 8 9 11 7 1 1 9 12 13 12 9 6 11 7 9 18 19 13 9 9 10 10 11 12 12 11 8 3 0 1 6 9 8 6 11 23 27 15 5 4 5 5 6 7 7 6 6 5 5 5 5 5 5 5 4 4 5 4 4 4 5 5 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 4 3 3 4 5 6 5 5 3 3 3 4 4 3 2 2 3 4 5 5 6 6 6 6 6 6 7 7 6 7 6 6 6 6 6 6 5 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 6 6 5 5 6 6 7 9 12 12 10 9 7 6 5 3 3 6 10 11 11 6 4 4 5 7 8 8 7 6 -0 -9 -6 1 3 4 5 6 7 8 10 11 7 5 5 4 5 4 5 6 6 6 7 7 7 5 7 7 8 7 7 6 5 5 4 5 6 6 7 6 5 5 5 5 6 10 13 16 14 12 7 4 3 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 6 6 5 4 3 3 6 9 9 9 10 9 10 12 13 11 9 8 7 8 12 19 23 20 16 13 12 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 4 4 4 4 5 6 7 8 9 11 13 15 14 13 13 12 10 8 6 4 3 1 1 1 2 3 3 3 3 2 3 5 5 6 7 8 8 6 4 2 2 2 4 5 5 5 5 5 6 7 7 7 8 9 8 7 6 5 5 4 3 2 1 1 2 2 3 3 4 3 3 3 4 5 5 5 6 6 6 5 5 5 6 7 8 9 10 10 9 8 6 4 3 2 3 4 4 4 4 3 3 4 4 4 6 8 11 14 15 12 9 12 13 12 13 21 25 18 9 8 13 11 3 -5 -10 -7 -3 -0 2 4 5 5 5 5 7 9 13 18 22 20 16 11 7 5 5 9 7 5 7 7 6 6 4 2 6 4 0 3 -1 -3 -1 2 1 5 8 4 1 4 3 2 -0 -3 1 3 2 5 8 4 0 2 9 11 11 12 10 8 8 2 4 14 6 2 1 6 4 3 9 11 11 12 9 4 2 5 9 10 15 13 7 11 5 4 15 17 13 9 7 9 10 10 10 10 11 9 5 2 0 2 7 10 8 6 11 23 25 13 4 5 6 6 6 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 5 5 4 3 3 4 6 7 6 5 4 4 4 4 4 2 1 2 3 4 5 5 5 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 9 11 10 8 7 5 4 5 10 11 10 12 11 8 4 4 5 7 11 12 8 6 5 2 -3 -3 1 4 4 5 6 6 7 9 12 12 10 8 7 7 5 4 5 6 7 8 6 5 6 6 7 7 8 8 7 6 6 5 5 5 6 6 5 4 5 5 5 5 6 9 12 15 15 12 8 4 4 5 6 6 6 5 4 5 5 5 6 5 5 4 4 4 4 5 5 6 6 7 7 7 6 5 3 3 5 7 7 8 7 7 7 9 11 10 10 9 7 7 9 13 16 16 13 12 12 11 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 4 5 5 6 7 6 7 8 10 11 13 15 15 14 11 9 7 5 4 3 3 3 3 3 3 3 2 2 1 2 4 4 5 5 4 3 3 3 4 4 5 6 6 5 6 6 6 6 6 7 8 8 8 7 6 6 6 5 4 3 3 3 3 3 4 4 5 5 4 5 5 4 3 2 3 3 3 3 3 4 4 6 7 8 9 8 6 4 3 2 2 3 4 4 4 4 4 4 4 4 6 10 14 18 21 19 11 5 10 11 7 10 17 19 17 17 10 3 -6 -8 -8 -6 -3 -1 1 4 6 6 5 5 6 7 9 13 18 22 21 17 10 4 5 8 11 8 7 8 9 9 7 4 5 3 -2 -2 2 3 0 2 7 6 6 8 2 -2 0 2 4 3 -0 2 3 3 6 7 4 2 4 11 13 15 17 13 10 9 3 3 6 10 8 1 4 5 4 10 8 11 13 10 6 4 3 -1 4 15 11 5 8 5 10 21 17 10 8 8 9 10 10 10 9 9 7 4 3 2 3 6 8 8 6 9 21 26 14 5 6 7 7 6 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 5 4 4 3 4 5 6 6 6 6 5 6 6 5 4 3 1 2 3 4 5 5 6 5 5 5 5 6 6 6 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 9 11 10 7 5 3 1 1 10 15 12 12 10 6 6 6 5 6 13 17 12 6 4 2 0 0 3 4 4 4 5 6 7 8 9 10 10 10 9 9 8 6 7 7 7 7 6 6 6 6 6 7 7 8 8 8 7 6 5 4 5 5 4 3 4 5 5 5 5 6 8 12 15 15 11 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 7 7 7 6 6 5 4 4 6 8 8 6 6 7 9 10 10 11 10 7 6 8 9 8 10 10 10 11 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 3 4 5 5 5 4 4 4 5 6 9 11 13 14 13 11 10 9 8 7 7 7 6 5 5 5 5 3 2 2 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 6 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 4 5 5 4 3 2 1 1 1 1 2 2 2 2 2 3 5 6 7 8 6 4 2 2 2 3 5 5 5 5 5 4 4 6 11 17 20 19 17 13 4 -1 9 12 5 7 11 11 12 13 -1 -14 -18 -12 -5 -2 -1 0 2 5 7 6 5 6 7 9 13 18 22 21 19 14 7 2 2 7 6 7 8 11 11 9 4 6 11 9 4 6 7 3 2 6 11 8 6 10 3 -1 -1 1 1 -1 2 6 6 4 6 6 3 3 7 14 15 21 22 13 8 10 8 2 3 13 16 10 6 1 6 12 7 5 8 8 8 5 -2 -6 3 9 9 9 14 13 14 18 16 11 9 9 9 10 10 10 9 8 5 4 4 4 4 5 7 7 6 9 20 27 16 6 7 8 7 7 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 5 4 4 4 4 5 5 5 5 6 6 7 7 7 6 4 2 2 3 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 7 7 7 7 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 7 6 7 7 7 6 7 7 7 7 7 9 10 9 6 4 4 2 -1 4 10 11 10 8 6 7 7 3 0 6 15 14 7 3 1 0 1 4 4 4 4 4 5 6 8 8 8 8 8 8 8 8 8 9 8 7 7 7 7 7 7 7 6 6 7 7 8 8 7 5 5 5 5 5 4 4 3 4 5 6 6 6 8 12 15 12 9 6 4 4 4 5 6 5 6 6 5 5 5 5 5 5 5 4 5 5 5 5 5 6 7 7 7 7 5 3 3 5 8 10 7 6 6 8 10 11 11 10 7 5 6 6 6 8 10 12 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 4 4 4 3 2 2 3 3 3 4 4 4 4 4 5 6 8 10 10 11 11 11 10 10 10 10 9 9 9 10 11 9 7 6 6 6 4 4 4 4 5 6 6 6 6 5 5 6 6 6 6 6 6 5 5 6 6 7 7 7 7 7 8 8 8 8 6 6 6 5 5 5 4 3 3 2 1 1 1 1 1 1 2 2 2 2 3 4 5 6 6 4 3 2 3 4 5 6 6 6 5 3 5 13 21 24 18 9 5 3 1 2 8 7 1 -1 -1 1 5 -2 -18 -27 -18 -8 -3 -1 -0 2 4 6 7 6 5 7 11 15 18 20 20 19 17 13 7 2 1 3 -2 -1 3 10 13 9 4 8 14 12 9 9 5 2 4 8 11 7 8 15 6 -0 1 3 3 4 6 7 6 5 7 6 2 3 9 13 14 16 16 10 4 8 9 5 5 12 17 16 6 -3 4 10 5 -1 1 6 8 6 4 4 7 7 10 12 20 24 19 13 12 10 9 9 8 9 9 9 9 7 4 4 4 5 5 4 5 5 5 11 23 26 15 7 7 8 7 6 6 6 6 6 6 5 5 5 5 5 4 4 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 4 3 3 4 5 4 5 5 7 7 8 7 7 5 3 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 5 5 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 6 7 9 10 8 6 4 5 5 3 3 7 8 8 7 6 7 7 2 -4 -2 8 12 8 2 1 -0 3 5 4 4 4 5 5 6 7 8 9 8 7 7 7 8 8 7 8 8 8 8 7 7 7 7 6 7 7 7 8 8 7 5 4 5 6 6 5 4 3 4 5 6 6 7 6 8 11 13 12 9 6 4 5 5 5 6 6 6 5 5 5 4 5 5 5 5 5 5 5 6 6 6 7 7 7 6 4 2 2 5 8 10 8 8 7 6 6 7 8 8 7 6 6 6 6 8 11 13 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 4 5 5 4 2 2 1 1 1 2 2 3 4 4 4 5 5 5 6 7 8 9 9 10 10 11 12 12 12 16 20 19 14 10 9 8 7 6 5 5 5 7 7 6 5 5 5 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 7 8 9 9 8 7 6 6 6 5 5 4 3 2 1 1 1 2 2 2 3 3 3 3 4 4 4 5 5 4 4 3 4 5 6 7 7 6 4 4 10 20 24 19 8 -1 -2 0 3 4 5 9 7 1 -6 -7 -10 -21 -27 -24 -10 -4 -3 -2 1 4 7 7 6 6 8 12 17 19 17 14 13 15 15 12 8 7 5 3 -4 -5 -1 7 12 9 6 7 11 8 8 10 7 6 6 8 6 6 11 16 7 1 5 7 6 7 7 7 5 6 8 8 4 5 11 12 11 3 3 4 1 3 5 6 8 8 12 14 3 -4 1 7 9 1 -2 3 9 12 13 14 14 11 12 16 20 22 16 11 10 10 8 7 7 9 9 9 10 7 3 3 4 5 6 6 5 4 6 15 25 22 11 7 8 8 8 6 6 6 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 5 4 4 6 6 5 4 4 4 4 4 5 5 5 5 6 7 8 7 6 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 5 5 5 4 4 4 5 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 8 7 6 8 10 10 8 5 4 5 6 6 5 7 8 7 6 6 6 7 5 -0 -2 3 8 7 3 1 1 4 5 4 5 5 5 5 6 7 8 8 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 5 4 5 6 6 5 4 4 5 6 6 6 6 6 8 9 10 11 11 11 10 7 5 5 6 6 6 6 5 4 4 4 4 5 5 4 4 5 6 6 6 6 7 7 6 4 1 2 4 8 10 10 9 7 6 3 -0 3 6 5 5 6 7 6 8 10 11 13 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 6 6 6 6 5 3 3 1 0 0 0 1 3 4 4 4 5 5 4 4 4 4 5 6 7 8 9 10 12 18 24 23 15 9 8 7 7 7 6 6 6 7 7 6 5 5 5 6 6 6 7 8 7 7 7 6 6 6 5 5 5 5 6 7 8 8 8 8 8 6 6 6 5 5 4 3 2 2 2 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 6 6 7 6 5 3 9 17 18 13 9 3 -1 -0 3 2 -2 7 23 24 14 4 -1 -10 -20 -19 -11 -4 -3 -3 -1 3 6 8 7 6 8 13 18 20 15 10 7 10 16 14 10 8 11 11 8 4 0 2 9 12 7 7 6 8 7 10 11 7 4 5 8 5 5 13 10 4 1 5 6 4 4 4 4 5 7 8 7 5 7 12 10 3 -3 3 4 1 1 2 5 6 7 12 13 3 -4 -1 10 16 9 -2 -0 10 15 13 15 16 15 15 17 17 13 10 9 9 8 7 6 7 8 9 10 10 6 3 2 3 5 6 7 6 4 5 14 23 19 10 6 8 8 7 6 6 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 4 5 6 6 5 4 4 4 3 4 5 5 5 5 5 7 7 7 7 5 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 5 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 9 9 9 9 10 9 8 6 6 8 11 11 9 5 5 6 6 6 6 7 7 6 5 4 4 5 5 4 4 4 6 5 3 1 3 4 5 5 5 5 5 5 6 7 7 8 8 8 7 6 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 5 4 5 8 7 5 5 5 6 7 7 6 6 6 8 8 9 9 11 13 15 13 10 7 7 6 6 6 6 6 5 3 3 4 5 5 4 5 5 6 6 7 7 7 6 3 1 2 4 6 8 9 9 9 7 4 0 -0 2 4 4 5 7 8 8 9 11 13 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 9 9 9 9 9 8 7 6 4 2 2 2 2 2 3 4 4 4 5 4 4 3 3 3 3 3 4 4 5 6 12 17 15 10 7 7 7 7 7 6 6 7 7 7 6 5 5 5 6 6 6 7 7 7 6 7 7 7 7 6 5 5 4 4 5 5 7 7 8 8 8 7 7 6 6 5 4 4 4 5 5 5 6 6 7 6 6 6 6 7 6 5 5 5 5 6 6 6 6 5 4 8 18 22 14 6 4 2 2 5 6 0 -5 14 26 27 20 11 6 1 -8 -8 -6 -6 -5 -2 3 6 8 7 7 7 12 19 21 16 10 8 7 11 15 12 7 8 11 11 12 11 6 6 10 9 5 5 8 8 8 8 5 3 3 8 12 7 5 11 4 1 2 4 7 6 4 3 2 4 7 8 6 4 6 10 9 -2 -1 10 10 8 5 5 5 5 7 12 9 1 -2 2 10 14 10 2 2 9 11 10 12 16 16 16 15 12 8 8 9 8 7 6 6 6 6 8 11 11 6 3 2 3 5 6 6 5 4 5 11 18 21 17 10 8 8 7 6 5 5 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 3 3 4 5 5 5 5 6 7 6 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 8 8 9 9 9 10 10 9 8 6 6 9 12 12 9 7 8 9 7 5 6 6 6 5 4 2 2 2 3 5 6 5 4 2 -0 0 3 4 4 5 5 5 5 6 6 6 7 7 8 8 8 7 6 6 7 7 7 6 6 6 6 7 7 7 7 7 8 7 8 7 6 4 6 9 7 5 5 7 7 8 7 7 6 6 7 9 9 8 9 13 16 17 15 12 9 7 6 5 6 7 6 4 3 4 4 5 5 5 4 5 5 7 8 7 6 4 2 2 3 5 6 7 8 9 8 6 4 2 2 3 5 6 7 7 7 9 12 13 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 10 10 10 11 11 11 11 9 6 5 5 5 4 2 3 4 3 3 4 4 3 3 3 3 2 2 2 2 2 2 5 9 8 7 8 10 10 8 6 6 6 6 6 5 4 4 4 5 6 6 6 7 7 6 6 6 6 7 7 7 6 5 4 4 3 3 5 6 7 7 8 8 8 7 7 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 6 6 9 17 22 18 9 3 -1 -1 5 10 8 -2 -4 15 16 17 15 0 -8 -9 -12 -12 -9 -7 -2 4 8 9 8 7 8 9 15 21 19 12 10 12 12 11 8 5 5 10 12 10 10 11 7 7 10 8 4 4 6 4 4 3 1 1 8 12 11 7 6 9 3 2 2 4 10 11 7 5 5 6 8 10 9 4 2 8 12 4 5 11 17 15 9 9 9 5 5 8 5 -0 0 5 8 4 2 4 6 7 5 7 11 14 15 14 12 9 7 8 8 7 6 6 6 6 6 7 11 11 7 3 2 2 5 6 6 4 4 5 9 15 24 24 13 7 8 7 6 6 6 6 7 7 6 5 5 5 5 5 5 5 5 5 5 6 5 4 4 4 4 3 4 5 5 5 4 5 6 7 6 4 4 4 5 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 8 8 9 9 9 10 10 9 7 6 6 10 13 13 8 3 9 14 9 6 6 6 6 5 4 3 3 3 4 5 5 5 3 -2 -5 -0 4 4 4 5 5 5 6 6 7 7 6 7 8 8 8 7 7 6 7 7 7 7 7 6 6 7 6 7 7 8 7 8 8 8 6 6 8 8 6 6 7 7 8 8 8 7 6 6 7 8 9 9 9 11 15 19 19 17 13 9 6 5 5 6 6 5 4 4 4 5 5 6 5 4 4 6 6 6 6 4 3 2 3 4 4 5 7 9 8 8 7 6 4 5 6 6 6 6 7 8 10 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 9 10 10 11 12 13 12 12 10 8 7 6 5 5 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 3 5 6 8 11 13 13 10 7 6 5 6 5 5 4 4 4 5 6 6 6 5 6 5 5 5 5 6 7 8 8 7 6 4 4 3 4 5 6 6 6 7 8 8 8 7 6 7 7 7 7 7 7 7 7 6 6 7 8 8 8 9 8 7 7 7 7 8 9 12 18 18 11 6 2 -2 -2 2 10 13 8 -2 -2 3 6 7 5 -17 -25 -24 -18 -13 -6 -0 6 10 10 8 7 8 11 13 18 20 15 11 13 16 16 10 2 -3 1 13 13 9 8 9 6 5 10 11 6 4 4 -1 -1 2 4 5 12 9 7 10 11 8 5 4 3 3 8 9 5 4 7 8 8 12 14 7 2 6 10 9 10 12 21 17 7 9 11 9 8 6 2 3 8 9 8 -3 -2 4 5 5 5 7 9 10 11 10 8 7 8 9 9 7 6 6 6 6 6 7 10 11 9 5 2 2 4 5 5 4 4 5 8 15 27 29 14 5 5 7 7 6 5 6 6 6 6 5 5 5 5 5 5 5 6 5 5 6 5 5 4 4 4 4 5 6 5 5 5 4 6 7 5 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 7 8 8 8 8 8 9 10 9 7 6 7 11 14 13 7 -2 3 12 10 6 5 4 4 4 4 4 5 6 5 6 5 4 4 0 -5 -1 3 4 4 5 5 5 6 6 7 7 6 6 7 8 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 9 8 7 6 7 7 8 9 9 8 6 5 6 8 9 10 10 10 14 19 22 20 16 11 5 4 5 6 6 6 5 5 4 5 5 6 6 5 5 4 5 5 5 4 4 3 3 3 3 4 6 7 8 8 8 8 7 7 6 5 6 7 8 8 6 7 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 9 10 11 12 13 12 12 12 10 8 7 6 6 6 5 5 3 2 1 1 1 2 1 2 2 3 4 3 3 2 3 4 7 9 11 12 12 10 7 6 6 6 6 5 5 5 5 5 6 5 4 4 4 4 4 4 4 6 8 9 9 7 6 4 5 5 5 5 6 6 6 7 7 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 9 9 9 8 7 7 7 9 12 16 16 7 -1 -4 -6 -5 4 11 15 14 8 2 -3 -8 1 4 -5 -19 -20 -15 -9 -2 5 10 12 11 8 7 8 15 20 18 18 18 13 10 10 11 11 8 2 -2 3 13 11 7 7 12 11 5 5 7 7 6 4 -0 -1 2 4 8 13 4 3 13 13 8 8 7 5 5 8 9 5 3 4 7 7 11 13 9 6 5 4 7 13 14 15 10 6 8 11 13 14 10 5 8 11 9 5 1 3 3 3 7 8 7 7 7 7 5 4 6 9 10 10 8 7 6 6 6 6 7 10 11 10 7 3 2 2 4 4 5 5 6 9 18 29 28 13 3 3 6 8 6 5 5 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 3 4 5 6 6 6 5 4 4 5 6 5 4 4 5 6 6 5 5 6 6 6 6 5 5 5 5 5 6 6 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 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 7 7 7 7 7 7 8 10 10 8 6 7 11 14 12 7 -1 -1 6 8 6 4 3 4 4 5 6 6 5 5 6 6 4 4 4 1 1 3 4 4 4 5 5 6 6 6 7 7 6 7 7 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 8 8 9 9 7 7 9 9 7 6 6 7 8 8 9 9 8 6 6 6 8 10 11 11 11 13 18 22 22 19 14 8 4 4 5 6 6 6 6 6 6 6 7 6 6 6 5 5 5 4 5 4 3 3 3 4 4 5 6 7 8 8 8 9 7 4 3 6 7 7 7 6 6 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 10 10 11 12 13 13 13 12 13 13 10 8 6 6 7 6 6 6 5 3 4 3 2 2 2 3 3 3 3 3 3 3 3 4 6 7 9 11 11 10 8 6 6 7 7 6 6 6 6 6 5 4 3 3 3 3 3 3 5 7 9 10 8 7 6 5 5 5 6 6 6 5 6 7 7 7 7 7 6 7 8 8 7 6 5 5 6 7 8 9 9 9 9 9 8 7 8 12 16 15 9 2 -1 -3 -4 4 10 12 13 11 8 3 -4 -6 4 9 2 2 4 7 9 13 15 15 12 8 6 8 13 22 24 18 15 15 13 8 5 3 7 9 7 4 4 8 6 3 5 14 16 9 3 0 4 6 6 5 3 1 3 9 8 0 1 9 8 6 7 8 6 8 12 11 5 1 3 7 7 7 7 8 10 5 0 7 17 16 9 6 8 8 8 13 11 7 7 9 9 5 2 4 5 2 4 10 10 6 6 9 8 5 4 6 8 9 8 7 7 6 6 6 5 6 9 11 11 9 5 2 2 2 3 4 5 7 10 18 24 21 14 7 4 5 6 6 5 5 5 5 5 5 6 6 5 5 5 5 6 6 6 5 5 4 4 4 4 6 7 7 6 5 4 4 5 5 4 3 3 5 7 6 6 6 6 7 6 6 6 5 6 5 6 6 5 5 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 5 5 5 4 5 5 5 6 7 7 7 6 6 7 8 10 10 7 5 6 10 13 11 9 7 2 3 5 5 5 5 5 5 5 6 6 6 5 6 7 5 4 4 3 3 4 4 4 4 5 5 5 5 6 7 7 6 7 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 8 8 9 9 9 7 8 10 9 7 5 6 8 8 8 9 8 8 7 6 7 9 10 12 12 11 12 15 18 21 20 17 12 8 5 5 5 5 5 6 7 7 7 6 6 6 6 6 6 5 5 5 4 4 3 4 4 4 4 5 5 6 7 8 8 5 3 3 4 5 6 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 11 11 12 13 13 14 14 12 12 13 12 10 8 8 8 8 8 8 8 7 6 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 6 8 10 11 9 7 6 7 8 8 6 5 6 6 6 4 3 3 3 3 3 4 5 6 8 9 8 7 7 6 5 5 6 7 8 6 6 6 5 5 5 5 6 6 7 8 6 5 4 5 6 8 9 10 10 10 9 9 9 8 11 17 16 12 8 5 4 3 4 8 7 6 7 6 7 5 1 2 8 13 12 18 20 19 19 19 15 11 6 5 7 13 18 20 16 11 10 13 11 7 6 6 9 13 13 10 6 4 1 2 5 9 10 11 9 4 4 3 4 8 7 4 4 7 -0 1 3 4 2 3 5 6 6 9 15 14 5 1 6 8 9 8 5 10 12 6 4 11 18 16 11 7 7 6 6 11 2 2 8 9 5 1 -0 3 1 2 9 11 8 5 7 11 12 10 8 5 5 7 6 6 5 5 6 5 4 4 7 9 11 11 8 5 2 1 1 2 4 7 10 14 15 16 19 15 9 6 5 5 5 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 6 7 7 6 6 5 5 5 5 4 4 3 3 4 6 6 7 7 6 7 7 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 4 5 6 6 6 6 6 6 6 6 8 9 9 7 4 5 10 11 10 10 10 3 2 5 6 6 6 7 6 6 7 6 6 6 7 7 6 2 2 3 4 3 4 4 5 5 5 5 5 6 6 7 7 7 7 8 8 8 7 8 7 7 7 7 7 7 7 7 7 8 9 9 10 9 8 10 11 9 6 5 7 9 9 8 7 6 7 7 8 8 9 11 12 13 12 12 12 15 18 18 18 16 13 10 7 6 6 7 6 6 7 6 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 4 5 6 6 5 4 3 2 2 4 6 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 12 11 10 11 11 12 12 12 11 11 12 12 11 10 9 9 9 10 10 10 9 8 8 7 6 6 4 3 3 3 4 4 5 5 5 4 4 4 5 8 10 10 8 7 7 8 7 6 5 5 6 6 5 4 3 3 3 3 4 5 6 8 8 8 8 7 5 5 5 7 9 11 10 8 5 4 3 3 3 4 5 7 8 6 5 4 5 7 9 10 10 10 10 10 9 9 9 11 8 5 7 9 8 6 6 5 6 5 4 2 4 8 8 5 5 11 14 13 16 19 19 17 12 7 3 2 6 12 18 18 12 8 7 9 10 8 6 8 10 13 17 17 14 9 5 3 3 7 6 5 12 15 12 9 3 3 6 5 5 7 8 0 1 5 3 3 3 4 4 4 7 11 10 7 8 9 9 13 10 6 10 10 7 8 12 13 12 11 10 5 2 9 12 6 14 17 9 2 -1 1 5 3 3 9 9 5 4 7 11 16 16 11 5 6 8 6 5 3 3 6 6 5 4 5 7 9 10 11 10 6 1 -1 -1 3 6 8 9 10 14 18 18 16 13 7 4 5 4 4 4 5 5 5 6 6 6 5 5 5 5 5 4 4 4 5 5 7 7 7 6 6 5 5 5 5 5 4 3 2 3 5 7 7 7 7 7 7 6 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 3 4 4 4 5 5 5 5 5 5 4 4 4 4 5 6 5 6 6 5 5 5 5 6 8 8 7 3 3 7 9 8 8 8 5 4 6 7 6 7 8 7 7 8 7 7 7 7 7 5 3 2 4 4 4 4 4 5 5 5 5 6 6 6 7 8 8 7 8 8 8 8 8 7 7 7 7 7 6 6 8 8 8 9 10 9 8 9 11 11 8 6 6 9 11 10 8 6 5 6 8 8 9 10 10 12 13 13 11 11 13 15 16 16 17 17 15 11 9 9 10 9 9 9 8 6 6 5 4 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 3 1 1 2 3 5 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 5 5 4 5 5 6 6 5 4 4 3 3 4 6 8 10 8 7 7 7 5 5 6 6 6 6 4 3 2 3 3 5 5 6 7 7 8 7 7 5 5 6 8 10 13 13 10 6 3 1 2 3 4 5 6 7 6 5 5 6 8 9 9 9 9 9 8 9 9 10 8 1 2 8 10 10 9 7 6 6 8 3 -3 6 15 13 6 9 17 17 13 15 14 9 4 -1 -1 1 5 12 18 18 12 7 7 9 9 10 9 7 5 8 13 17 16 15 9 6 7 3 5 6 7 11 13 14 14 9 8 9 5 5 7 8 4 3 6 8 7 6 6 3 3 6 7 3 7 14 12 9 8 4 3 7 7 6 6 5 6 8 9 11 9 4 8 3 5 17 18 7 -2 -1 6 10 10 7 5 7 5 3 6 12 16 17 12 8 7 8 7 5 3 3 6 9 7 5 5 6 6 6 9 13 13 6 1 0 3 4 5 6 8 10 12 15 21 21 11 6 6 4 3 4 5 5 5 6 6 6 5 5 5 4 4 3 3 4 5 7 7 7 7 7 6 6 5 5 5 5 5 3 1 2 6 9 8 7 7 8 8 6 4 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 6 5 5 4 5 5 7 8 6 3 2 4 7 8 9 10 8 8 8 7 7 6 6 6 7 8 8 7 6 5 4 2 1 3 4 4 4 5 5 5 5 5 5 6 6 7 8 8 8 8 8 8 9 9 8 7 7 7 7 7 6 7 8 8 9 9 9 9 8 10 12 11 8 7 9 11 11 10 7 6 6 6 7 7 8 8 9 10 11 12 12 11 12 13 14 15 16 16 16 14 13 12 13 13 13 13 11 9 9 7 4 4 5 5 5 6 6 6 6 6 5 5 5 4 4 4 3 4 4 4 4 3 3 2 1 2 3 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 9 10 10 10 11 11 11 11 11 10 10 9 9 8 9 9 9 10 10 10 11 11 10 9 8 7 6 6 6 6 6 6 5 4 4 4 4 3 3 5 9 9 8 8 6 6 6 6 6 6 6 4 3 1 2 3 5 6 7 7 7 7 7 6 5 6 7 9 11 13 15 12 7 3 2 4 5 7 7 7 7 6 5 6 7 7 6 5 6 6 7 7 8 9 10 11 12 13 13 12 11 9 7 6 6 7 1 -3 7 22 28 25 21 19 11 7 7 3 -3 -6 -4 0 6 13 20 20 13 6 4 6 8 9 9 11 10 6 8 11 14 14 13 8 6 9 7 5 6 10 8 6 10 12 13 14 11 6 7 9 7 6 4 9 10 8 11 8 5 5 7 6 4 9 15 10 6 0 -1 4 8 7 7 5 3 6 7 8 11 14 14 8 -6 -0 13 15 3 -4 2 8 11 14 11 6 6 4 3 7 11 14 15 13 9 6 7 7 6 4 4 7 9 10 8 7 7 6 4 5 9 12 13 9 5 3 3 4 5 6 7 7 11 19 19 12 12 14 7 3 3 4 4 5 5 6 6 5 5 5 5 3 2 3 4 6 7 7 7 7 7 6 6 5 5 5 6 5 2 -1 3 9 11 9 7 7 8 8 5 4 4 6 6 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 3 3 3 4 3 4 5 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 5 6 7 5 3 1 2 5 7 10 13 11 9 9 7 7 6 5 5 7 8 7 6 5 5 3 -2 -2 2 4 4 5 5 5 4 5 5 5 6 7 7 8 9 9 9 8 9 9 9 9 8 8 7 7 7 7 7 8 8 9 10 9 8 8 10 12 9 7 8 10 11 10 9 6 6 6 6 6 7 7 7 6 7 9 10 11 11 10 11 13 14 16 16 15 15 15 14 14 16 18 18 15 12 8 7 7 6 5 4 4 5 5 6 6 6 6 6 5 5 4 4 3 3 4 4 4 4 4 4 3 3 3 3 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 8 8 9 9 10 11 11 11 11 12 12 11 10 9 8 8 8 8 9 9 10 11 12 11 10 8 7 7 7 8 7 6 5 4 4 5 5 3 2 3 4 7 8 7 7 6 6 6 6 6 6 5 3 2 2 3 5 6 7 7 6 6 6 5 6 8 9 10 10 12 14 12 9 6 5 7 8 9 9 8 8 7 6 6 7 5 4 3 4 5 6 6 7 8 9 11 15 16 15 14 12 10 7 4 5 6 2 -2 8 24 31 29 16 2 -3 -5 -7 -8 -7 -3 1 5 12 20 20 14 8 4 3 4 5 5 6 9 10 9 9 12 12 11 11 8 5 10 11 7 7 10 5 1 3 6 16 15 5 4 8 8 8 9 8 8 9 9 9 7 10 12 9 5 5 10 10 5 4 5 5 8 10 9 7 7 7 7 7 6 8 14 21 16 4 3 10 12 4 -1 2 4 7 11 10 7 5 4 6 8 10 12 13 12 7 4 4 6 7 6 7 9 9 10 9 8 8 8 7 5 4 6 11 14 11 5 3 3 4 5 5 6 8 12 15 15 18 19 10 4 5 5 4 4 5 6 5 5 5 5 5 3 1 2 4 6 6 7 7 6 7 6 6 5 4 5 6 5 1 0 5 12 13 10 7 6 8 7 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 4 2 1 3 6 10 13 12 10 9 7 7 7 6 5 6 7 6 5 5 5 4 -1 -4 1 3 5 5 5 5 4 4 5 5 6 7 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 9 10 10 9 8 8 11 10 7 6 7 8 8 8 6 5 5 5 5 6 6 6 6 5 5 6 8 9 9 9 10 11 13 15 15 14 14 15 15 15 18 20 21 19 14 9 9 11 10 8 5 4 4 4 5 6 6 6 6 6 6 5 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 7 8 8 9 10 11 12 14 13 12 10 9 8 9 8 8 8 8 9 10 11 11 10 9 8 8 8 8 6 5 4 4 4 4 5 4 3 3 4 6 6 6 6 6 5 4 5 5 5 4 3 3 4 6 7 6 6 6 5 5 6 8 10 10 9 8 9 10 10 8 7 7 8 9 9 9 8 8 6 6 6 6 5 4 3 4 5 5 7 7 8 8 9 10 12 13 13 13 10 6 5 10 11 6 -1 9 23 19 6 -4 -15 -14 -11 -12 -6 2 5 6 11 18 20 14 8 7 6 6 5 3 3 3 6 8 7 9 13 10 7 11 9 5 10 12 5 6 8 5 1 -0 4 17 14 4 2 4 4 9 13 11 7 7 9 3 7 15 16 9 2 3 6 8 8 8 9 8 10 13 11 5 5 7 7 5 1 3 9 19 23 15 6 5 9 10 5 2 1 1 4 7 6 4 6 10 10 10 12 13 10 5 2 2 5 7 7 9 11 10 8 7 8 8 10 10 8 5 4 6 10 11 7 4 4 4 4 4 5 7 9 13 19 17 12 8 7 10 10 8 7 6 5 5 5 5 5 5 3 1 2 4 5 6 6 5 6 6 6 6 4 3 5 6 4 1 2 8 13 13 10 7 7 7 7 5 3 5 5 5 5 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 5 5 5 4 5 5 5 5 5 5 6 6 6 7 5 3 1 2 5 9 12 12 10 8 7 6 6 6 6 6 5 5 5 5 5 6 3 -1 0 2 4 5 5 5 4 4 4 6 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 9 10 10 9 7 9 10 7 4 4 5 6 6 5 4 4 4 4 4 4 4 5 5 5 4 5 5 6 7 8 8 9 10 12 13 13 14 14 14 13 15 19 21 20 17 14 14 14 14 11 9 7 6 5 5 5 6 6 6 6 6 6 5 4 4 3 3 3 3 4 4 4 5 4 3 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 12 19 14 12 8 9 10 12 10 6 4 10 16 18 18 14 8 5 10 13 18 18 16 16 15 11 5 4 7 13 16 16 12 7 7 10 11 13 12 12 12 13 16 16 16 19 20 19 19 20 21 19 15 13 12 11 13 17 19 20 19 17 14 13 14 13 13 12 11 9 8 9 7 7 12 18 21 20 10 4 4 10 14 13 12 10 10 11 11 9 8 5 3 5 8 10 11 12 12 13 14 15 15 14 11 10 11 12 10 9 9 11 12 13 13 12 12 12 13 13 13 13 12 12 12 11 10 11 12 13 13 13 13 13 14 15 15 14 13 13 12 13 14 14 14 15 14 16 18 18 17 15 12 11 11 10 11 13 14 14 14 14 13 13 13 13 12 11 11 11 12 13 12 12 12 12 12 11 11 11 11 13 14 13 12 11 10 11 11 13 15 15 15 14 14 14 13 13 12 12 12 14 15 14 13 11 11 13 19 20 17 17 17 17 16 15 15 15 15 14 14 14 15 17 18 17 16 16 15 16 17 18 18 16 15 15 15 15 14 14 13 11 13 14 14 14 15 15 17 18 19 19 18 15 14 13 14 14 14 15 15 14 14 14 14 15 16 15 15 14 14 13 13 13 12 12 12 12 11 11 11 12 12 11 11 12 12 11 11 12 12 12 12 12 11 9 9 9 9 9 10 11 12 13 15 17 17 17 14 10 9 8 8 8 9 9 9 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 11 13 14 13 13 12 12 12 10 9 7 7 7 9 10 10 11 12 12 11 9 9 10 10 11 12 12 12 12 12 12 12 12 12 14 16 16 13 12 13 14 15 15 15 14 12 11 12 13 12 12 12 12 12 13 14 14 14 14 13 11 10 11 13 14 16 16 13 12 12 12 11 12 13 11 11 13 18 22 25 23 19 17 15 13 11 10 10 9 9 10 12 12 12 13 13 13 13 13 13 13 12 12 13 14 14 14 13 14 14 13 14 14 14 15 15 15 16 18 20 18 14 12 15 17 18 17 14 12 12 13 13 13 14 14 14 14 14 14 14 14 15 15 15 15 14 14 14 12 11 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 8 6 6 14 18 19 17 14 9 8 5 8 16 16 12 12 13 11 9 9 10 12 17 18 16 11 8 5 9 10 10 11 12 12 13 14 18 21 20 17 15 15 16 17 13 10 8 7 6 9 14 17 18 16 16 17 17 14 11 10 10 8 7 7 6 7 7 11 15 17 14 8 6 11 14 12 12 12 12 14 15 15 13 8 5 7 9 10 10 12 13 11 10 12 15 15 14 11 10 9 8 7 8 11 12 12 13 12 12 13 13 13 12 12 11 11 11 11 10 12 13 12 12 13 13 15 15 14 13 14 16 16 14 12 12 13 14 14 14 15 16 16 15 12 10 10 12 12 13 13 13 14 14 13 13 13 13 12 13 12 12 12 11 13 12 12 13 12 12 11 11 11 12 13 13 12 11 10 8 6 9 16 21 17 16 15 14 14 13 13 12 12 13 14 15 15 13 12 11 12 15 16 15 16 17 18 17 17 16 15 15 15 14 14 14 16 17 18 16 14 14 14 15 16 17 17 15 14 14 14 15 17 17 15 15 15 15 15 15 14 14 15 18 20 19 16 14 14 14 13 13 13 14 13 13 13 14 14 15 15 15 15 15 15 14 14 14 14 13 12 12 13 12 12 12 12 11 11 10 10 11 11 12 12 11 10 10 10 9 9 9 9 11 12 13 15 16 19 18 15 9 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 12 13 13 12 12 12 11 10 9 8 7 7 8 8 9 10 10 12 13 12 11 9 9 9 10 11 12 12 12 12 12 13 12 12 15 15 14 12 12 14 14 12 10 8 6 6 8 11 12 12 12 12 12 13 14 14 13 12 12 12 12 12 15 18 19 19 16 15 14 13 13 12 13 12 13 14 16 18 20 19 16 14 14 13 13 11 11 11 10 11 12 13 14 14 14 14 13 12 13 13 13 12 12 13 14 14 13 14 15 17 15 15 14 14 14 14 15 18 21 21 17 11 10 14 18 18 15 13 13 13 13 13 12 14 16 15 14 14 14 14 14 15 14 14 15 15 15 14 13 12 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 7 1 0 10 17 19 13 12 11 17 17 10 9 11 16 18 15 10 8 7 8 10 12 13 13 12 13 13 17 20 16 14 12 14 16 18 16 13 8 5 4 7 10 12 12 11 12 14 15 13 11 10 9 9 7 5 6 7 8 8 10 12 14 10 9 11 13 13 14 16 17 18 19 19 17 13 11 11 11 11 12 13 13 13 11 12 14 15 15 12 10 9 8 8 9 10 11 12 12 13 13 13 13 12 11 11 10 10 11 12 12 12 13 13 13 13 13 14 14 13 12 13 15 15 16 15 14 14 14 15 15 15 15 15 13 11 9 10 12 13 14 13 12 11 11 12 13 13 13 12 12 13 13 13 12 12 12 12 12 12 12 12 11 12 12 13 12 12 12 10 8 5 5 12 20 23 22 19 15 13 13 13 13 12 12 13 14 15 14 15 13 12 12 11 12 14 16 17 16 17 16 15 15 15 14 14 13 13 14 16 16 15 14 13 12 13 16 18 16 15 14 13 13 16 18 16 16 16 15 15 14 12 7 6 10 13 16 16 16 16 14 14 13 14 14 14 14 15 15 15 17 17 17 17 17 16 14 14 13 13 13 12 12 12 12 11 12 12 11 11 11 11 11 12 12 11 10 10 10 10 10 11 11 11 12 13 15 16 17 15 11 8 6 6 6 7 8 8 9 9 8 8 8 8 7 7 7 7 8 8 9 9 8 7 7 8 10 12 13 12 11 11 11 10 10 9 9 8 8 8 9 10 9 9 11 12 12 11 10 9 9 10 11 11 12 13 13 13 13 13 13 13 13 14 15 15 14 11 7 4 3 4 7 11 12 12 13 13 12 13 14 14 14 12 12 12 12 13 15 18 20 17 15 14 14 15 14 13 13 13 13 12 13 13 13 13 13 13 13 14 13 12 12 12 11 11 12 13 15 14 14 13 13 13 13 12 11 12 14 15 15 14 14 14 14 14 16 16 15 15 14 14 15 16 19 21 19 14 11 12 14 16 15 13 13 13 12 12 12 13 14 15 14 14 14 14 14 15 15 15 15 15 15 16 16 14 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 11 8 14 14 10 6 9 11 12 10 9 9 11 11 10 12 14 14 14 15 16 16 12 8 8 9 12 16 19 19 14 9 5 2 2 5 7 5 4 4 7 9 9 9 8 7 6 3 5 10 12 14 12 11 10 11 9 9 10 12 14 16 17 20 19 14 14 14 14 13 13 13 13 13 14 15 15 13 12 11 12 13 14 13 11 9 9 10 10 10 11 11 13 14 13 13 11 11 10 10 11 11 13 14 13 13 12 13 13 13 13 13 12 12 12 14 15 16 15 15 16 15 14 15 15 15 13 12 10 10 10 12 14 15 14 12 12 12 12 13 13 12 12 12 12 12 13 13 12 12 13 12 12 12 12 13 13 13 12 12 12 12 11 11 9 6 6 11 18 23 27 24 18 14 14 14 13 12 12 13 14 14 15 15 14 12 11 11 12 14 14 14 15 16 18 17 16 15 16 15 14 15 15 16 16 16 13 13 14 15 17 17 17 15 13 12 14 18 16 14 14 13 13 14 14 10 7 8 9 12 14 16 16 16 15 14 15 15 15 15 15 16 16 16 16 16 17 16 15 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 11 11 11 10 11 12 12 12 12 13 15 17 17 16 12 8 6 6 8 9 9 10 10 9 9 8 7 6 6 6 6 6 5 5 5 6 7 8 8 8 8 8 9 11 12 11 10 10 10 11 10 9 9 9 9 10 10 10 9 9 9 10 11 12 12 10 10 10 11 12 13 14 14 14 13 13 13 13 15 17 17 16 14 11 9 9 10 13 14 14 13 13 13 14 13 14 14 14 13 13 13 12 12 13 14 17 17 14 13 13 14 13 13 13 13 13 12 12 12 12 11 12 13 13 13 13 13 12 12 11 11 11 13 14 15 14 14 14 12 13 13 12 11 13 16 16 15 14 13 13 13 14 14 15 15 15 15 15 15 15 17 20 18 13 12 14 15 13 13 13 13 12 11 11 12 14 15 15 15 14 13 13 14 15 16 16 16 15 15 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 7 12 15 15 13 13 14 12 9 9 10 13 15 15 13 10 9 9 11 13 15 17 18 17 14 7 1 1 3 5 4 3 1 3 4 5 6 6 5 4 2 6 11 13 14 13 13 14 12 9 9 11 13 13 14 14 14 12 10 12 13 13 14 15 15 14 11 10 12 12 10 9 9 10 12 14 14 12 10 9 10 11 11 10 11 12 14 13 12 11 11 11 11 11 11 13 14 14 14 13 12 12 12 12 13 13 13 13 14 15 15 13 14 16 16 15 15 15 13 11 11 11 11 11 13 15 15 14 13 13 13 13 13 13 13 12 12 11 11 13 14 13 13 12 13 13 13 13 14 13 13 13 12 12 11 12 13 12 9 5 3 6 13 30 35 22 16 15 14 13 13 13 13 13 14 16 16 16 15 13 12 13 14 14 13 12 15 19 23 20 17 18 17 16 16 15 15 14 15 14 13 13 13 15 15 16 16 14 13 14 15 15 15 15 14 14 15 16 15 13 10 10 10 11 12 15 16 16 15 15 15 16 16 15 16 16 16 15 15 15 15 14 13 13 13 13 13 13 12 12 12 12 11 11 12 12 13 14 13 11 11 11 11 11 12 13 14 15 17 17 18 17 13 10 7 6 7 9 11 11 11 11 11 10 9 8 7 6 5 6 6 6 6 6 6 6 7 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 9 10 11 12 12 12 12 12 13 15 15 15 14 13 12 13 15 18 18 16 14 13 13 12 13 14 14 15 14 14 13 13 14 14 14 14 14 14 14 13 13 13 13 15 16 15 14 13 13 13 13 12 12 13 13 12 12 12 11 12 13 13 12 12 12 11 11 11 11 10 11 13 14 14 15 15 15 15 15 13 11 12 14 16 17 15 13 12 13 14 15 15 15 14 14 15 15 15 15 15 17 17 16 14 13 14 14 14 15 14 11 10 10 12 13 13 14 15 14 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 8 11 13 13 13 14 14 15 17 18 18 18 17 16 14 13 13 12 10 7 5 9 10 8 7 6 7 8 10 11 12 12 10 10 11 12 15 18 14 10 11 13 13 13 13 12 9 8 10 13 13 12 14 15 16 15 11 10 10 9 9 8 9 11 11 12 15 13 10 9 10 11 11 11 11 12 13 13 12 11 11 11 11 13 13 13 14 14 14 12 10 11 12 14 14 13 13 14 14 14 14 12 12 15 15 15 15 14 12 11 11 12 12 14 14 14 14 14 13 13 13 14 13 13 13 13 13 11 10 12 13 13 13 13 13 13 13 13 14 14 13 13 13 12 12 12 12 13 12 9 3 -3 -1 23 38 29 22 16 14 13 13 13 13 13 14 15 17 17 16 16 15 14 15 14 10 6 7 16 26 24 19 20 18 17 17 16 15 13 13 13 13 13 13 13 13 14 14 13 14 13 14 14 14 14 14 14 13 14 14 13 12 11 10 10 10 13 15 16 16 16 16 17 17 17 17 17 16 15 15 15 15 15 14 13 12 13 12 12 12 12 12 11 11 12 13 13 13 13 13 13 13 14 15 16 17 19 20 21 21 19 16 12 9 8 7 8 9 10 10 11 11 11 11 11 10 10 8 8 9 9 9 9 10 9 8 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 9 8 8 8 8 10 12 12 13 14 14 14 14 15 15 14 13 12 12 13 15 16 13 10 10 11 12 12 13 14 14 14 14 13 14 14 15 14 14 14 14 14 14 14 13 13 14 17 19 18 14 12 12 13 13 13 13 13 13 12 11 11 11 10 10 11 11 10 10 10 10 10 11 11 13 15 16 15 15 15 14 13 14 14 13 13 14 15 15 13 11 12 13 14 14 14 14 15 15 14 14 13 13 14 16 17 16 14 13 13 14 14 16 14 12 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 7 7 8 10 13 14 14 12 10 10 12 14 16 18 24 31 31 25 20 22 24 24 26 28 29 27 27 27 26 29 32 33 31 29 27 27 29 30 29 26 23 21 20 18 16 16 17 18 19 20 21 22 22 23 23 24 25 24 19 14 12 11 10 10 10 11 11 11 12 12 8 6 6 6 6 6 6 5 5 5 6 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 14 25 31 32 31 28 25 26 29 22 7 5 12 16 14 10 5 3 5 10 14 14 9 4 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 1 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 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 1 1 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 0 0 0 0 0 0 0 0 0 0 0 13 18 26 45 62 76 88 98 96 91 83 78 79 78 66 58 73 81 71 61 80 110 124 131 133 123 101 76 58 45 38 30 23 31 52 67 78 92 102 109 131 162 190 207 197 167 157 156 148 134 126 120 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 8 6 5 5 5 6 6 6 7 9 14 18 17 12 9 10 12 12 13 17 24 28 24 19 19 20 20 21 23 25 25 24 24 25 27 26 24 24 25 25 28 28 28 25 21 18 18 17 16 15 15 17 19 20 21 22 24 24 24 25 24 23 19 15 13 12 12 12 11 11 11 11 12 13 13 10 7 6 6 6 6 5 5 5 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 19 25 25 22 20 18 20 24 20 9 6 11 14 12 7 2 0 2 4 7 7 6 3 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 3 1 0 0 0 0 0 0 0 0 2 4 3 2 2 3 2 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 2 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 1 2 2 5 24 57 70 92 107 105 99 89 83 82 80 80 88 92 93 98 109 116 116 117 125 128 125 117 103 90 78 73 82 106 113 116 125 130 132 139 167 195 212 215 192 167 157 151 141 131 128 126 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 11 10 8 6 5 4 5 5 5 5 6 8 13 17 14 10 9 9 8 10 14 20 24 24 22 20 18 17 18 19 20 20 20 19 20 22 22 19 18 20 21 22 23 23 20 17 15 14 13 12 12 12 14 17 19 21 22 23 23 24 23 20 16 14 13 12 12 13 13 12 12 11 12 11 12 14 12 8 6 6 6 6 5 5 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 1 4 11 16 14 12 9 8 11 17 17 7 3 6 8 7 3 0 0 0 1 2 4 4 3 3 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 1 4 1 0 0 0 0 0 0 0 0 1 2 2 3 2 2 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 2 5 8 6 2 0 0 0 1 3 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 9 46 70 89 113 119 116 106 93 87 87 88 88 88 93 103 111 120 123 119 117 118 123 132 131 122 112 114 125 141 144 142 145 145 147 161 184 204 215 214 196 175 162 152 139 130 127 126 121 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 13 11 9 7 5 4 5 5 4 4 3 4 8 11 12 10 9 7 6 7 11 14 15 19 23 23 20 18 18 19 20 20 20 18 18 18 18 16 16 18 19 19 19 19 18 17 15 13 10 8 7 8 8 10 13 15 16 17 18 18 17 14 13 12 12 12 12 13 13 12 12 12 12 11 12 13 13 9 7 6 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 2 1 0 3 9 12 5 0 1 2 2 1 0 0 0 0 1 1 2 2 3 6 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 2 3 3 3 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 4 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 0 10 46 89 113 113 122 128 131 128 114 97 92 91 88 86 88 94 107 115 124 124 120 115 115 117 116 121 122 128 136 144 148 144 142 143 151 169 190 207 218 223 215 196 177 160 145 134 128 124 124 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 14 12 10 7 6 5 5 4 3 2 1 1 3 6 9 10 9 7 6 6 7 9 11 14 18 23 23 20 19 19 20 22 22 20 20 18 15 12 13 16 18 19 18 17 17 17 16 14 11 8 6 4 4 5 6 8 10 12 13 13 13 12 12 12 12 12 12 12 12 13 12 12 12 12 11 13 14 11 7 6 6 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 3 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 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 2 1 0 0 0 0 0 0 0 0 0 0 2 3 3 4 4 3 3 3 3 2 1 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 1 3 3 2 2 2 0 0 0 2 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 1 2 1 1 2 6 6 1 0 0 0 3 14 17 5 6 38 94 134 149 134 123 123 140 149 138 112 99 95 91 89 89 91 100 106 111 116 119 119 117 113 110 111 114 121 130 136 138 136 136 141 152 170 191 203 214 228 228 211 188 170 156 147 143 145 150 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 12 13 11 9 7 6 6 5 3 1 0 0 0 2 4 6 7 7 7 6 6 6 8 10 14 18 19 18 18 17 17 19 20 20 20 20 16 11 10 12 14 15 16 15 16 15 15 14 12 9 6 5 5 5 5 6 7 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 13 11 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 5 4 4 4 4 3 2 1 0 0 0 1 3 5 7 7 6 3 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 4 6 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 1 1 0 0 0 0 0 0 0 0 0 0 1 7 14 12 9 12 20 21 10 4 0 3 11 38 45 32 28 67 107 136 148 144 125 115 131 152 153 134 113 101 98 96 97 96 96 98 100 105 111 115 117 116 112 108 109 114 120 125 126 128 132 141 151 163 175 184 200 218 218 200 185 176 167 161 158 166 177 175 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 8 10 12 12 10 8 6 5 4 2 1 0 0 0 1 2 4 6 8 8 6 4 5 6 9 13 15 15 15 15 16 16 17 17 18 19 20 15 11 10 10 10 12 12 12 12 12 12 11 9 7 6 6 6 6 6 6 6 7 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 12 10 5 5 5 5 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 5 5 5 5 4 3 2 1 0 0 2 5 8 8 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 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 3 6 4 0 0 0 0 0 0 0 0 0 0 1 6 18 28 32 30 31 33 39 33 28 24 34 58 67 70 67 84 101 119 133 144 133 116 117 136 151 148 132 111 100 101 103 101 97 95 95 96 99 105 108 110 110 109 110 113 115 117 118 121 130 142 150 154 159 171 195 209 199 181 176 175 169 160 155 159 166 168 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 5 5 6 9 10 11 9 7 6 5 4 2 1 0 0 0 0 1 4 7 9 8 5 2 3 4 6 6 8 12 16 18 18 16 15 15 16 18 17 14 12 11 10 10 10 10 9 9 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 10 9 9 10 10 9 6 5 5 5 5 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 6 6 6 6 5 4 2 2 3 2 2 2 4 6 8 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 15 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 2 0 0 0 0 0 0 0 0 0 0 2 13 35 50 48 42 38 48 54 60 61 70 74 79 82 86 92 98 108 119 136 136 124 110 114 130 140 139 127 113 107 106 105 102 99 95 92 91 94 95 97 100 104 110 115 114 112 111 118 130 145 153 155 163 182 203 208 196 182 175 172 165 154 143 144 153 160 161 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 4 5 7 8 8 7 7 6 6 4 2 1 0 0 0 1 3 6 10 13 10 7 4 3 2 1 2 6 14 19 21 17 12 10 10 12 15 15 16 16 15 13 11 9 8 6 6 6 6 5 5 4 4 4 4 5 5 5 6 6 6 5 5 6 5 5 5 5 6 6 6 6 6 5 6 6 5 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 7 5 3 2 1 0 1 4 4 4 4 4 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 17 12 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 2 4 3 0 0 0 0 0 0 0 0 0 0 0 7 35 61 69 63 53 52 57 66 74 77 81 88 94 100 105 108 111 117 127 134 133 121 108 108 118 127 131 128 119 110 106 106 107 100 90 85 84 85 86 86 94 105 112 112 109 107 115 130 145 157 166 181 200 215 214 202 192 183 174 163 152 143 142 149 156 158 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 3 3 4 5 6 6 6 6 7 5 2 0 0 0 1 1 3 5 10 15 18 16 12 8 6 4 4 6 10 15 17 14 10 5 3 5 10 14 17 19 19 16 12 9 7 5 4 4 4 4 3 2 1 1 1 1 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 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 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 1 3 6 8 7 3 0 0 0 1 4 6 6 6 5 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 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 2 0 0 0 0 0 0 0 0 0 0 0 12 42 69 80 80 75 70 69 78 87 90 92 97 105 115 123 125 126 128 130 134 141 143 125 112 112 116 123 131 128 117 109 110 113 110 97 85 79 77 76 78 85 97 107 109 105 103 110 126 143 160 179 199 212 217 211 199 193 188 181 167 153 144 142 146 152 154 nan nan nan nan nan nan nan 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 4 5 4 4 4 5 6 5 3 0 0 0 0 1 1 3 6 11 16 18 17 15 13 11 10 10 11 12 13 12 10 6 3 2 4 9 13 17 18 15 12 9 7 5 4 3 3 2 1 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 2 0 0 2 4 8 8 6 6 5 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 36 59 76 83 85 86 87 91 97 103 105 105 106 109 116 127 138 145 145 144 146 149 155 150 139 132 130 131 134 133 126 118 114 115 115 108 96 83 74 73 76 83 94 104 108 104 102 109 123 140 159 181 200 206 205 199 186 178 183 187 177 157 146 143 145 149 149 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 1 3 5 6 4 3 2 3 4 4 2 0 0 0 0 0 0 1 2 5 9 14 16 17 17 16 15 15 15 15 15 15 13 11 8 6 6 6 9 11 13 12 10 8 6 5 4 3 3 2 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 1 1 2 2 2 3 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 0 0 0 1 3 5 3 3 5 6 6 7 7 7 7 7 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 3 1 0 0 0 0 11 38 64 79 85 85 83 85 92 103 114 119 121 119 114 110 113 123 139 151 153 151 157 161 162 161 156 149 139 135 138 136 133 127 120 117 118 117 110 97 84 77 79 87 97 105 107 103 102 109 122 136 153 169 181 186 189 186 174 164 174 184 179 162 149 144 144 146 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 1 4 6 5 3 1 1 2 2 1 0 0 0 0 0 0 1 2 3 4 8 12 14 16 17 17 16 16 16 15 16 16 16 16 14 11 10 9 9 10 10 9 8 6 5 4 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 6 7 8 8 6 4 4 6 9 10 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 20 20 7 1 1 2 10 35 69 93 98 91 88 86 86 94 108 120 126 128 125 118 111 110 115 134 149 150 146 154 166 166 161 156 148 138 132 133 132 131 127 122 119 120 120 118 112 102 91 86 90 100 107 106 100 96 108 121 133 146 156 160 169 177 177 172 170 172 177 174 160 145 139 140 143 145 145 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 2 4 4 2 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 7 8 9 11 13 14 15 16 16 16 15 15 16 18 18 16 14 12 12 11 10 9 8 7 6 5 4 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 9 8 7 5 4 8 12 12 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 25 38 26 8 9 18 26 52 89 115 111 95 91 91 89 92 101 112 119 122 121 116 111 109 111 122 138 146 145 146 151 154 152 150 142 134 129 129 129 126 122 120 118 120 123 121 121 119 110 95 91 101 108 106 98 95 107 118 130 140 148 152 161 173 179 178 177 177 176 171 156 137 132 135 140 141 140 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 10 10 9 7 5 6 9 11 13 15 15 14 13 12 14 16 17 16 15 14 12 11 10 8 8 7 6 6 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 2 5 8 8 8 9 10 10 10 10 9 10 12 11 7 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 3 22 49 48 25 22 39 43 59 96 134 126 102 96 93 87 85 88 95 103 108 110 108 107 105 105 109 122 139 148 146 143 143 144 143 137 130 128 128 125 122 120 119 117 118 121 119 121 125 124 111 98 98 104 104 99 97 104 115 126 134 141 146 155 167 177 180 178 175 175 169 154 135 127 130 134 134 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 12 13 13 10 6 3 4 6 8 10 12 13 13 12 11 13 14 15 14 14 12 11 10 9 8 7 7 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 2 0 0 0 0 0 1 4 5 6 7 8 9 9 10 10 10 12 13 13 12 10 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 2 17 50 62 41 33 47 53 63 107 148 131 101 97 93 86 80 79 83 89 93 96 97 97 95 94 94 102 121 138 144 142 141 140 138 133 128 128 126 122 122 121 119 115 112 112 111 111 118 126 122 106 97 100 102 100 97 101 112 123 130 134 138 145 153 163 170 171 167 165 162 150 132 122 121 123 123 122 nan nan nan nan nan 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 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 12 14 14 11 7 4 4 5 6 8 10 12 13 13 12 13 13 13 12 11 11 10 9 7 6 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 4 3 3 2 0 0 1 3 6 6 6 7 8 9 10 10 10 10 12 13 12 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 39 55 46 40 50 58 71 116 144 125 100 93 90 85 80 77 76 77 77 78 79 81 82 84 84 88 98 114 127 135 136 134 131 127 126 127 126 124 126 125 121 116 109 105 105 103 110 123 127 115 103 100 100 99 98 103 113 121 125 128 133 138 141 146 156 160 155 150 147 140 126 116 112 110 110 110 nan nan nan nan nan 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 4 3 3 3 3 4 5 4 3 3 2 1 0 0 0 0 0 0 0 0 1 2 4 7 10 13 14 12 9 7 6 6 6 6 8 11 14 14 14 13 13 12 11 10 10 9 6 5 5 5 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 2 3 6 7 8 6 5 4 4 5 5 6 6 6 6 7 8 10 10 9 11 12 12 10 7 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 1 8 22 50 48 43 53 61 79 118 138 119 94 84 82 79 76 72 67 63 60 60 60 63 69 75 79 80 84 91 101 115 127 129 126 124 123 124 126 127 129 128 125 120 111 107 106 105 108 121 130 125 114 107 103 99 99 104 113 120 120 123 128 134 134 138 145 146 142 135 131 127 120 110 101 95 92 91 89 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 7 7 7 7 8 8 8 8 8 9 8 6 4 2 1 0 0 0 0 0 0 0 0 1 3 5 8 11 13 12 10 9 9 8 7 6 7 10 13 15 15 14 13 11 10 9 8 6 5 4 4 5 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 2 2 1 1 4 8 10 9 5 5 5 6 6 5 5 5 6 5 5 6 8 9 10 10 12 13 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 10 4 1 0 0 0 0 0 5 23 42 48 48 56 64 79 107 125 112 88 78 74 70 67 62 57 52 49 48 47 49 57 67 74 75 76 80 82 90 104 115 120 122 121 117 117 122 126 128 128 125 119 114 114 111 110 117 130 130 121 115 111 105 100 104 116 120 118 118 121 126 130 135 139 138 130 120 114 114 109 100 89 79 74 71 70 nan nan nan 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 6 7 7 7 7 7 7 9 9 9 8 6 5 3 1 1 0 0 0 0 0 0 1 2 3 5 8 10 11 11 12 11 9 7 6 7 10 13 15 16 14 13 11 9 8 7 6 5 5 5 5 4 3 3 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 0 0 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 2 2 2 2 1 2 7 10 9 7 4 4 4 4 5 5 5 5 5 4 4 5 6 8 10 10 11 11 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 21 10 3 0 0 0 0 0 3 18 36 46 52 57 64 76 95 108 104 88 78 72 64 57 52 48 45 43 41 41 42 48 56 62 65 68 72 74 74 79 90 102 112 117 114 111 115 120 122 124 128 130 129 127 122 114 116 126 128 122 119 120 115 107 105 114 122 120 113 110 114 123 131 136 134 123 108 98 97 93 85 74 64 60 60 61 nan nan nan 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 1 1 2 3 3 3 3 3 3 3 5 7 8 9 10 8 7 4 3 2 2 1 0 0 0 0 0 1 2 3 5 7 9 11 11 11 9 8 7 8 10 12 14 14 13 12 10 8 7 6 6 5 5 4 3 3 3 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 1 1 6 9 9 7 5 4 4 4 4 4 4 5 6 5 4 5 5 6 7 8 9 9 9 8 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 12 21 24 16 4 0 0 0 4 2 1 10 30 44 51 56 62 72 86 101 104 93 81 74 64 55 48 44 43 41 39 39 39 42 46 47 49 52 55 59 63 62 66 75 88 100 109 114 116 116 115 114 121 130 136 136 130 118 114 121 126 125 123 124 121 113 105 111 122 123 112 102 104 115 125 131 130 120 102 89 85 81 74 64 54 51 53 58 nan nan nan 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 1 0 0 1 1 0 0 0 0 0 1 3 5 7 9 9 8 8 7 7 6 5 3 2 1 0 0 1 1 2 2 4 6 7 8 10 10 10 9 8 8 10 12 13 12 12 10 8 6 5 5 5 4 3 2 2 2 3 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 4 8 9 8 6 5 4 4 4 4 4 5 7 7 7 6 6 6 6 7 7 7 6 6 7 7 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 10 16 20 20 12 4 1 0 2 10 8 2 6 23 41 51 56 60 68 82 97 111 105 90 80 69 60 54 50 47 42 39 38 38 38 39 37 35 34 35 35 38 44 48 52 61 75 93 110 117 114 107 100 106 117 126 132 131 122 116 119 127 130 131 131 126 118 107 107 119 125 116 102 97 106 117 123 125 119 99 87 82 77 71 62 54 48 47 48 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 16 12 7 3 1 0 0 0 0 0 0 0 0 0 1 2 4 5 5 6 7 8 8 8 8 6 4 2 2 1 1 2 2 3 3 4 6 8 10 11 12 10 10 9 10 10 10 10 9 7 6 4 4 4 3 3 2 2 2 2 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 8 10 10 8 6 5 4 3 3 4 5 7 8 9 8 8 8 8 7 7 6 6 6 6 6 6 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 11 11 13 15 17 18 15 7 1 0 5 16 20 12 7 16 36 52 60 61 65 78 93 107 115 106 88 74 67 62 59 54 47 42 40 38 38 37 34 30 26 23 20 19 22 28 30 35 47 68 93 110 109 95 85 88 95 105 115 121 120 118 118 122 129 135 136 131 124 113 107 113 124 122 106 92 97 104 109 116 113 100 91 87 82 78 72 64 54 45 40 37 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 14 14 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 6 8 8 9 8 6 4 3 3 3 3 4 5 5 5 6 8 10 10 11 11 11 10 10 9 9 9 9 8 6 5 4 3 3 3 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 9 10 10 10 7 5 4 3 4 4 7 8 9 10 10 10 9 9 8 7 7 6 6 6 7 7 6 4 2 1 2 2 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 13 12 8 10 14 17 17 15 8 2 2 11 25 31 22 9 13 32 51 65 61 59 65 90 95 113 118 97 79 72 68 64 59 53 48 44 40 38 37 35 30 25 20 16 13 11 13 14 15 22 41 67 88 92 79 68 68 72 81 92 102 112 119 121 120 123 131 135 132 128 122 115 112 119 121 114 101 95 93 97 108 110 103 96 94 93 93 88 81 69 53 40 33 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 8 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 8 8 9 7 5 4 4 4 4 5 6 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 4 4 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 8 10 10 10 8 6 4 3 4 6 8 9 10 10 10 10 9 8 8 7 7 7 7 7 7 7 7 6 5 4 6 7 7 6 6 5 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 2 8 13 8 4 6 13 18 19 13 7 6 9 20 33 35 24 11 9 24 43 59 59 54 55 75 87 102 118 108 90 80 75 70 64 58 53 48 43 39 36 32 28 23 18 13 10 8 7 6 4 7 18 39 62 72 65 54 51 55 64 73 86 102 115 122 122 119 124 131 130 126 128 130 127 127 130 124 110 98 89 88 100 109 104 95 92 90 91 94 95 86 67 44 30 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 6 7 6 4 4 4 4 5 7 8 9 9 10 11 11 10 10 9 10 10 10 10 10 10 9 8 8 8 6 5 5 4 4 4 3 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 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 3 7 10 9 9 8 6 4 4 6 8 9 10 10 10 10 10 8 6 4 4 5 5 5 6 7 6 7 7 8 8 9 9 9 8 8 8 9 8 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 1 4 5 2 0 0 0 2 8 11 8 4 3 8 16 22 26 22 24 23 30 38 35 22 12 5 11 29 43 49 47 45 57 75 91 108 114 106 96 88 80 72 66 61 54 46 38 32 26 21 18 14 10 6 4 3 2 1 1 4 18 40 55 55 47 43 46 52 60 70 88 106 119 123 120 120 126 127 124 130 141 145 142 144 139 119 102 91 86 97 109 106 96 91 88 87 94 100 97 78 51 31 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 5 6 4 4 4 4 5 6 6 7 8 9 11 12 11 10 9 9 9 9 10 10 10 10 9 10 9 8 8 8 8 8 7 5 4 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 8 8 6 5 6 8 10 11 10 10 10 10 9 7 4 1 1 1 1 1 2 0 2 4 6 9 9 9 10 9 8 7 8 9 10 9 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 4 11 12 6 1 0 0 2 7 11 10 6 1 4 13 23 38 44 46 42 41 40 32 19 9 1 2 13 27 36 38 34 40 62 82 100 113 112 104 97 88 83 78 71 62 51 39 28 20 15 12 9 6 3 1 0 0 0 0 1 8 24 40 45 44 43 46 50 51 56 72 96 114 123 121 121 122 121 120 128 144 155 153 150 146 129 108 93 85 96 113 113 105 99 95 95 98 97 93 79 58 37 27 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 18 13 9 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 6 5 4 4 4 5 5 5 5 6 8 9 10 10 10 9 9 9 9 10 10 10 9 9 10 9 9 9 9 9 8 8 8 6 5 3 2 2 1 1 0 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 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 1 6 8 9 9 8 8 9 10 11 12 12 12 11 10 9 8 5 2 0 1 1 1 1 1 1 1 1 3 6 8 9 10 10 9 8 9 10 10 8 7 6 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 16 16 11 4 0 0 1 4 9 11 9 4 3 8 21 33 41 49 50 45 42 31 18 6 1 0 1 12 26 31 28 31 48 71 92 106 106 94 85 78 75 76 72 65 53 39 28 18 12 8 6 4 2 0 0 0 0 0 0 3 12 29 35 36 43 54 58 53 52 61 84 105 118 121 121 121 118 118 126 142 156 154 150 150 133 108 91 84 96 111 116 114 110 107 102 95 86 78 72 64 50 36 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 24 22 20 17 13 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 6 5 4 3 4 4 3 3 4 5 6 7 8 8 8 8 9 9 9 10 10 10 10 10 11 10 9 9 8 8 8 7 7 7 6 4 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 2 3 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 8 9 9 9 9 10 11 11 11 11 11 11 10 9 7 4 0 0 2 3 2 2 3 4 3 3 2 1 4 6 6 6 6 6 6 7 8 7 6 5 4 4 5 5 4 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 20 20 16 9 2 0 0 2 7 10 11 9 7 8 14 27 34 38 42 42 41 36 22 11 4 2 2 9 20 27 26 26 36 54 72 86 92 88 75 63 54 53 55 53 47 39 31 22 13 7 4 3 1 0 0 0 0 0 0 0 3 20 24 24 32 50 63 63 58 58 72 93 110 119 123 124 120 117 125 143 157 148 144 148 134 107 90 87 95 106 113 117 120 118 104 86 73 66 65 66 63 51 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 21 24 26 25 20 14 10 10 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 3 2 1 1 1 2 3 5 6 6 6 7 6 6 8 7 7 8 10 11 11 13 14 14 11 10 10 10 8 7 6 6 6 5 4 4 4 4 4 3 2 2 1 1 0 0 0 0 0 2 3 4 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 1 0 1 5 7 8 8 8 8 8 8 9 9 8 7 8 9 10 9 7 3 0 0 2 3 3 3 3 4 4 4 3 2 1 2 2 1 2 2 2 2 3 4 4 4 4 5 6 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 2 4 8 16 23 24 21 16 9 3 0 2 6 10 12 11 10 10 12 24 30 35 37 39 39 38 29 18 13 8 8 12 17 20 14 21 27 39 47 56 67 77 77 66 53 44 42 40 37 38 38 32 21 10 5 2 0 0 0 0 0 0 0 0 0 9 14 12 17 33 54 68 66 59 62 81 106 122 130 129 123 117 118 139 154 144 140 143 132 111 97 94 95 102 110 115 120 116 102 86 74 65 62 64 64 62 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
8 13 19 23 24 19 13 10 11 12 12 10 8 6 3 1 0 0 0 0 0 0 0 1 2 2 1 2 4 6 7 4 1 0 0 0 0 2 4 5 5 5 5 5 5 6 7 6 6 9 9 8 8 11 14 14 13 14 13 10 8 6 6 6 6 5 6 7 7 7 5 4 4 3 2 2 2 1 0 1 2 4 5 5 5 4 3 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 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 1 1 1 0 0 5 7 8 8 7 6 6 7 7 6 4 4 4 6 7 8 7 2 0 0 1 1 2 3 3 3 3 3 3 3 3 2 2 1 1 1 1 0 1 1 1 3 5 6 7 8 7 7 5 4 3 5 5 4 4 4 2 0 0 0 3 8 8 7 9 15 23 28 26 20 15 10 8 7 8 9 10 11 11 10 12 17 25 34 40 43 42 40 34 24 17 12 12 15 19 14 3 2 18 30 35 36 40 51 63 69 69 65 58 50 43 41 45 44 33 18 7 4 1 0 0 0 0 0 0 0 0 2 6 5 5 15 37 61 71 66 62 74 102 129 139 128 121 117 116 128 142 141 134 136 132 116 106 103 100 101 108 114 122 119 107 92 81 70 60 57 57 60 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
2 7 11 14 14 12 10 9 10 12 14 14 14 13 9 5 2 0 0 0 0 0 1 2 3 3 2 2 3 5 9 6 1 0 0 0 1 2 4 4 3 3 4 4 4 5 7 7 7 10 11 9 6 6 8 12 16 17 15 12 10 9 8 8 8 7 7 8 9 9 8 7 6 5 4 3 3 2 2 2 3 4 5 5 5 4 4 3 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 1 1 1 0 0 3 6 7 7 7 6 5 6 6 6 4 4 4 4 5 6 6 2 0 0 0 0 0 2 2 1 2 2 2 3 3 3 3 3 2 2 1 1 2 2 2 2 5 7 8 8 8 10 13 16 15 15 18 20 19 18 14 8 3 0 2 6 6 4 6 11 20 29 33 30 20 14 12 13 13 11 9 9 9 10 12 15 21 32 44 52 54 52 44 29 15 10 10 14 18 12 1 4 16 26 31 29 22 22 32 48 65 76 81 79 70 60 57 56 47 30 12 7 1 0 0 0 0 0 0 0 0 2 4 3 2 7 24 51 73 77 67 71 99 131 141 130 119 113 113 121 136 143 136 127 121 115 112 111 109 109 113 117 126 123 112 99 86 72 58 50 49 53 56 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
2 5 7 8 8 8 8 10 11 12 13 14 16 16 13 10 6 4 3 2 0 0 0 2 4 6 5 3 3 6 10 9 4 1 0 0 1 3 3 2 2 2 2 3 4 5 7 10 13 17 19 16 10 5 5 7 10 13 13 12 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 5 4 3 3 4 4 4 4 4 4 4 4 4 3 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 1 1 1 1 1 0 1 3 6 7 7 5 5 6 6 6 5 5 5 4 4 5 4 0 0 0 1 1 0 1 1 1 2 2 2 2 3 3 3 4 4 3 2 2 2 2 2 3 6 8 8 8 9 15 22 28 31 30 28 30 34 34 31 24 15 5 0 1 0 0 2 5 12 25 36 40 30 20 15 15 15 14 12 9 7 6 9 14 23 37 49 59 66 68 60 42 22 11 9 10 11 10 2 8 17 26 31 32 23 13 10 16 33 53 69 81 85 81 73 63 54 42 23 11 4 1 0 0 0 0 0 0 0 2 5 6 3 4 23 54 80 92 79 76 98 128 140 133 120 113 111 117 134 147 141 126 113 109 114 113 113 114 116 118 125 123 113 101 87 71 55 44 43 46 51 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 6 7 8 10 11 10 10 10 11 12 12 12 11 11 11 9 4 1 0 1 7 13 12 7 4 6 11 13 9 4 2 1 1 2 2 2 2 1 1 2 3 4 6 10 16 22 27 27 24 17 10 7 7 10 11 10 9 9 9 11 12 12 10 10 10 10 10 10 10 9 9 7 4 3 4 4 4 4 4 3 3 3 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 5 6 6 5 5 5 6 6 6 5 5 4 4 4 2 0 0 0 0 0 1 1 1 1 1 1 1 1 2 3 3 3 4 3 3 2 2 3 3 3 7 9 8 8 9 12 17 23 29 31 30 30 34 36 37 36 30 19 4 0 0 0 0 0 4 17 34 43 37 26 18 16 15 16 15 13 8 4 5 10 22 39 52 61 67 71 70 58 40 26 18 14 14 13 10 13 19 24 29 32 29 21 10 4 7 19 33 50 67 75 73 61 54 48 35 16 6 4 2 0 0 0 0 0 0 1 6 11 7 8 35 64 93 110 104 95 105 127 138 132 121 111 106 109 126 145 148 135 119 115 118 117 114 113 115 121 127 124 112 99 87 71 53 40 38 41 50 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
8 7 6 4 4 5 6 8 8 6 6 6 6 8 10 11 11 12 15 16 11 4 0 1 9 21 23 11 6 6 11 15 14 10 6 3 1 0 1 1 1 1 0 0 2 3 4 6 10 18 24 26 25 20 16 12 10 9 10 10 9 8 9 10 11 11 9 9 11 11 11 10 10 9 8 7 4 3 4 4 4 3 3 3 3 3 3 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 2 4 5 5 4 5 5 6 6 5 5 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 2 2 2 3 3 3 7 9 8 8 9 9 10 13 16 21 23 24 25 28 33 36 37 32 18 4 0 0 0 0 0 10 31 45 36 23 18 16 13 12 14 15 12 6 1 4 15 32 46 56 61 62 65 64 57 43 31 26 24 23 22 22 21 22 24 26 27 24 18 11 0 2 7 17 36 48 50 48 47 47 42 24 8 6 4 2 0 0 0 0 0 0 5 13 15 19 38 64 97 126 136 132 131 137 136 125 113 104 96 94 109 128 137 137 132 128 129 129 123 117 118 123 130 125 112 101 89 73 53 40 36 40 48 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 10 7 3 3 5 6 7 7 6 6 5 6 7 9 11 11 12 18 23 18 9 3 2 10 26 36 20 7 5 8 13 16 15 11 5 1 0 0 0 1 1 0 0 1 2 3 3 5 9 15 17 16 15 15 14 11 9 8 9 9 8 8 8 8 8 6 7 10 13 12 10 9 9 8 5 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 5 5 5 4 4 4 5 6 6 6 6 6 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 2 2 3 5 8 10 11 11 11 11 11 11 12 13 14 15 17 20 26 31 35 38 31 17 7 1 0 0 0 6 27 40 28 14 14 17 12 7 8 11 12 9 1 0 4 20 35 45 50 50 54 62 71 61 47 38 34 33 32 30 26 23 22 22 22 21 19 17 3 0 0 2 13 24 30 34 37 40 39 27 11 6 5 4 2 0 0 0 0 0 2 10 19 26 32 49 80 114 140 150 149 139 123 109 103 96 90 88 93 104 116 124 126 125 128 133 137 138 131 129 130 122 112 105 91 72 53 41 37 41 50 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
27 21 14 7 6 8 10 12 14 12 10 9 9 9 9 10 11 13 19 26 22 13 7 4 7 24 41 32 14 5 4 8 14 16 13 8 2 0 0 0 1 0 0 0 0 1 2 2 3 5 9 11 12 14 16 16 15 14 13 11 10 8 7 7 6 6 5 6 9 13 12 10 10 9 6 4 2 3 4 5 4 4 3 3 4 4 3 3 3 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 7 6 6 5 4 4 4 4 5 6 6 6 6 6 4 3 2 2 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 1 2 3 2 5 9 12 13 13 13 14 14 14 14 14 13 12 11 12 18 22 27 34 35 24 13 2 0 0 0 6 25 37 22 6 15 26 20 8 5 5 6 8 5 3 1 10 22 31 36 38 44 57 71 75 64 48 41 42 43 40 35 30 26 23 21 19 17 14 7 2 0 0 2 7 12 20 26 30 28 19 7 5 5 5 3 0 0 0 0 0 0 6 18 29 32 36 50 73 95 111 114 104 90 83 82 83 81 80 83 90 98 104 110 115 117 125 138 150 147 138 138 128 118 111 94 72 53 42 40 46 55 62 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
37 33 25 17 14 15 16 18 20 19 16 14 11 9 8 8 9 11 13 17 19 15 11 7 6 19 40 44 26 9 2 4 12 16 13 7 3 1 1 3 2 0 0 0 0 0 0 1 1 2 6 10 11 13 16 17 18 20 20 19 15 12 9 6 5 6 6 7 8 11 10 8 8 6 4 4 4 6 7 7 7 6 5 4 3 4 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 7 6 6 5 4 3 3 4 5 5 6 6 5 4 4 3 2 2 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 9 13 15 15 15 16 16 14 13 11 9 8 8 8 10 13 18 27 34 28 11 2 0 0 1 6 26 39 21 2 16 40 35 23 16 16 14 14 17 15 9 13 20 24 28 32 38 49 61 72 76 57 40 42 46 47 44 38 32 27 23 19 16 14 11 7 3 0 0 1 3 8 14 20 16 10 5 5 4 4 4 2 0 0 0 0 0 2 9 24 37 36 32 39 48 53 60 60 56 53 48 43 45 54 64 74 82 87 93 101 105 112 124 139 135 121 125 131 129 120 99 74 56 46 44 50 60 67 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
31 35 35 31 26 23 22 22 21 21 20 19 16 14 11 10 8 6 6 8 9 10 11 8 5 10 32 48 38 17 4 3 12 18 14 7 4 3 4 7 6 2 0 0 0 0 0 0 0 1 4 8 10 11 14 17 18 18 20 22 22 19 14 9 7 7 8 8 8 8 7 5 4 4 5 7 8 8 7 7 6 7 6 5 4 3 3 4 4 3 3 3 3 3 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 2 6 9 11 11 10 8 7 6 4 3 2 2 3 3 4 4 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 7 12 14 14 14 14 13 11 9 7 5 5 4 4 4 5 10 20 33 34 18 4 0 0 1 8 28 40 21 5 18 46 47 44 37 38 40 45 50 45 40 39 40 40 42 42 41 41 45 62 80 68 45 39 40 46 46 42 38 33 28 24 20 18 17 15 10 4 1 0 0 2 7 12 10 6 5 5 5 4 4 3 1 0 0 0 0 0 1 7 32 44 38 36 38 37 38 40 40 38 33 25 20 24 36 48 59 66 71 78 83 88 95 100 84 78 90 108 124 125 102 77 60 50 47 49 58 65 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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4 11 20 31 37 38 39 40 38 34 32 32 33 32 30 26 22 20 16 12 8 6 5 3 1 1 7 25 44 45 26 7 13 30 38 31 20 16 14 12 10 8 3 1 0 0 0 0 2 5 8 9 9 9 10 16 22 25 23 20 20 22 26 28 24 19 13 8 5 4 6 7 7 7 8 8 6 4 4 4 5 5 5 5 5 4 2 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 11 12 12 11 10 8 6 3 1 0 0 0 0 0 0 0 1 4 5 5 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 1 2 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 3 13 24 24 11 0 1 7 17 37 57 42 14 19 24 23 28 32 31 33 41 54 62 62 60 55 52 53 66 79 83 75 68 72 74 72 60 42 30 27 31 37 40 39 38 37 35 34 31 27 23 18 14 6 3 1 1 9 16 17 14 14 13 8 5 4 1 0 0 0 0 0 0 2 8 20 33 43 46 46 43 38 34 28 22 19 18 19 22 25 29 33 37 40 41 41 38 38 39 50 85 123 135 114 95 85 72 54 40 37 41 44 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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11 9 7 6 5 5 5 6 8 10 12 14 17 25 39 55 65 60 44 32 26 24 24 21 14 4 0 0 6 23 38 39 38 39 40 43 47 50 48 40 31 28 29 29 25 18 10 7 6 5 6 7 8 9 11 14 17 22 26 28 25 20 16 16 21 27 29 25 16 9 7 9 12 10 6 4 3 3 4 4 4 4 4 4 4 4 4 3 2 1 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 8 10 11 10 10 8 6 5 5 4 1 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 4 10 17 38 60 59 43 33 28 21 14 6 4 2 0 0 0 0 0 2 5 9 18 24 27 28 33 47 66 86 102 105 96 78 66 63 56 47 39 36 42 52 60 61 56 49 41 32 22 16 14 14 11 7 11 35 54 45 25 10 4 1 0 0 0 0 0 0 0 0 0 0 1 12 34 61 79 85 77 60 44 32 23 23 35 49 60 62 61 57 55 48 48 62 87 114 132 132 119 97 78 61 45 34 32 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 13 12 11 10 8 6 3 2 2 2 3 4 9 17 32 52 68 66 52 36 26 25 24 20 12 4 0 0 6 18 30 35 32 30 34 40 45 47 44 40 39 40 41 38 31 20 12 8 6 7 8 9 9 10 12 15 19 23 26 26 21 16 14 16 23 28 28 22 13 9 10 13 13 9 4 3 3 3 4 5 6 6 4 4 4 5 5 4 3 2 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 9 11 11 10 9 7 5 4 4 2 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 13 31 55 58 44 33 27 20 13 8 6 4 0 0 0 1 1 2 4 5 5 9 17 21 25 32 44 63 80 104 119 108 89 81 74 62 51 43 41 46 54 61 62 56 46 34 23 18 18 22 25 16 5 12 34 53 47 25 9 3 0 0 0 0 0 0 0 0 0 0 0 3 16 43 74 96 103 100 92 76 56 40 44 61 77 84 87 86 76 62 50 51 70 100 120 127 125 109 88 75 62 51 44 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 15 15 15 14 12 9 5 2 0 0 0 0 2 6 11 19 41 62 68 60 44 33 28 24 19 10 2 0 0 3 11 20 23 25 31 37 41 42 42 41 41 40 39 36 32 29 23 16 9 8 9 10 8 7 8 11 14 19 24 26 21 16 14 15 19 24 27 24 18 13 13 15 16 15 10 4 3 2 4 5 11 14 10 6 4 4 4 4 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 2 2 2 4 7 10 11 11 10 9 7 5 3 2 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 16 31 50 53 41 29 20 11 5 4 4 3 1 1 1 1 2 3 4 6 6 5 7 11 18 26 36 47 59 82 107 112 107 98 90 82 72 62 52 45 41 46 55 54 42 29 19 16 17 21 28 27 14 8 20 46 60 47 21 7 1 0 0 0 0 0 0 0 0 0 0 1 6 26 60 88 106 115 125 119 103 93 84 82 88 96 102 108 104 85 63 52 61 92 109 114 119 117 106 90 77 67 59 55 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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