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Td[(B)]TJ 0 -5.97 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -6.38 Td[(@)]TJ 10.86 41.49 Td[(P)]TJ/F4 6.97 Tf 10.51 -2.47 Td[(1)]TJ/F10 6.97 Tf 0 -7.99 Td[(j)]TJ/F4 6.97 Tf 3.7 0 Td[(=1)]TJ/F19 9.96 Tf 12.25 11.06 Td[( )]TJ/F4 6.97 Tf 9.53 -3.65 Td[(0)]TJ/F10 6.97 Tf -4.97 -7.86 Td[(j)]TJ/F16 6.97 Tf 3.7 0 Td[( )]TJ/F4 6.97 Tf 6.23 0 Td[(1)]TJ/F19 9.96 Tf 3.97 11.51 Td[()]TJ/F1 9.96 Tf 4.57 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.87 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F4 6.97 Tf 3.88 3.61 Td[(1)]TJ/F16 6.97 Tf 3.97 0 Td[( )]TJ/F10 6.97 Tf 6.22 0 Td[(j)]TJ/F7 9.96 Tf 4.2 -3.61 Td[(b)]TJ/F4 6.97 Tf 4.28 -1.5 Td[(1)]TJ/F10 6.97 Tf 3.97 0 Td[(;j)]TJ/F19 9.96 Tf 17.48 8.97 Td[(P)]TJ/F4 6.97 Tf 10.52 -2.47 Td[(2)]TJ/F10 6.97 Tf 0 -7.99 Td[(j)]TJ/F4 6.97 Tf 3.7 0 Td[(=1)]TJ/F19 9.96 Tf 12.24 11.06 Td[( )]TJ/F4 6.97 Tf 9.53 -3.65 Td[(1)]TJ/F10 6.97 Tf -4.96 -7.86 Td[(j)]TJ/F16 6.97 Tf 3.7 0 Td[( )]TJ/F4 6.97 Tf 6.22 0 Td[(1)]TJ/F19 9.96 Tf 3.97 11.51 Td[()]TJ/F1 9.96 Tf 4.57 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.88 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F4 6.97 Tf 3.87 3.61 Td[(2)]TJ/F16 6.97 Tf 3.97 0 Td[( )]TJ/F10 6.97 Tf 6.23 0 Td[(j)]TJ/F7 9.96 Tf 4.2 -3.61 Td[(b)]TJ/F4 6.97 Tf 4.27 -1.5 Td[(1)]TJ/F10 6.97 Tf 3.97 0 Td[(;j)]TJ/F7 9.96 Tf 17.01 1.5 Td[(:)-166(:)-167(:)]TJ/F19 9.96 Tf 23.72 7.47 Td[(P)]TJ/F10 6.97 Tf 10.52 -2.47 Td[(n)]TJ 0 -7.99 Td[(j)]TJ/F4 6.97 Tf 3.7 0 Td[(=1)]TJ/F19 9.96 Tf 12.24 11.06 Td[( )]TJ/F10 6.97 Tf 4.57 -3.65 Td[(n)]TJ/F16 6.97 Tf 4.92 0 Td[( )]TJ/F4 6.97 Tf 6.23 0 Td[(1)]TJ/F10 6.97 Tf -10.54 -7.86 Td[(j)]TJ/F16 6.97 Tf 3.7 0 Td[( )]TJ/F4 6.97 Tf 6.23 0 Td[(1)]TJ/F19 9.96 Tf 4.58 11.51 Td[()]TJ/F1 9.96 Tf 4.57 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.87 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F10 6.97 Tf 3.88 3.61 Td[(n)]TJ/F16 6.97 Tf 4.92 0 Td[( )]TJ/F10 6.97 Tf 6.23 0 Td[(j)]TJ/F7 9.96 Tf 4.2 -3.61 Td[(b)]TJ/F4 6.97 Tf 4.27 -1.5 Td[(1)]TJ/F10 6.97 Tf 3.97 0 Td[(;j)]TJ/F19 9.96 Tf -314.34 -6.32 Td[(P)]TJ/F4 6.97 Tf 10.51 -2.47 Td[(1)]TJ/F10 6.97 Tf 0 -7.99 Td[(j)]TJ/F4 6.97 Tf 3.7 0 Td[(=1)]TJ/F19 9.96 Tf 12.25 11.05 Td[( )]TJ/F4 6.97 Tf 9.53 -3.64 Td[(0)]TJ/F10 6.97 Tf -4.97 -7.86 Td[(j)]TJ/F16 6.97 Tf 3.7 0 Td[( )]TJ/F4 6.97 Tf 6.23 0 Td[(1)]TJ/F19 9.96 Tf 3.97 11.5 Td[()]TJ/F1 9.96 Tf 4.57 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.87 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F4 6.97 Tf 3.88 3.62 Td[(1)]TJ/F16 6.97 Tf 3.97 0 Td[( )]TJ/F10 6.97 Tf 6.22 0 Td[(j)]TJ/F7 9.96 Tf 4.2 -3.62 Td[(b)]TJ/F4 6.97 Tf 4.28 -1.49 Td[(2)]TJ/F10 6.97 Tf 3.97 0 Td[(;j)]TJ/F19 9.96 Tf 17.48 8.97 Td[(P)]TJ/F4 6.97 Tf 10.52 -2.47 Td[(2)]TJ/F10 6.97 Tf 0 -7.99 Td[(j)]TJ/F4 6.97 Tf 3.7 0 Td[(=1)]TJ/F19 9.96 Tf 12.24 11.05 Td[( )]TJ/F4 6.97 Tf 9.53 -3.64 Td[(1)]TJ/F10 6.97 Tf -4.96 -7.86 Td[(j)]TJ/F16 6.97 Tf 3.7 0 Td[( )]TJ/F4 6.97 Tf 6.22 0 Td[(1)]TJ/F19 9.96 Tf 3.97 11.5 Td[()]TJ/F1 9.96 Tf 4.57 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.88 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F4 6.97 Tf 3.87 3.62 Td[(2)]TJ/F16 6.97 Tf 3.97 0 Td[( )]TJ/F10 6.97 Tf 6.23 0 Td[(j)]TJ/F7 9.96 Tf 4.2 -3.62 Td[(b)]TJ/F4 6.97 Tf 4.27 -1.49 Td[(2)]TJ/F10 6.97 Tf 3.97 0 Td[(;j)]TJ/F7 9.96 Tf 17.01 1.49 Td[(:)-166(:)-167(:)]TJ/F19 9.96 Tf 23.72 7.48 Td[(P)]TJ/F10 6.97 Tf 10.52 -2.47 Td[(n)]TJ 0 -7.99 Td[(j)]TJ/F4 6.97 Tf 3.7 0 Td[(=1)]TJ/F19 9.96 Tf 12.24 11.05 Td[( )]TJ/F10 6.97 Tf 4.57 -3.64 Td[(n)]TJ/F16 6.97 Tf 4.92 0 Td[( )]TJ/F4 6.97 Tf 6.23 0 Td[(1)]TJ/F10 6.97 Tf -10.54 -7.86 Td[(j)]TJ/F16 6.97 Tf 3.7 0 Td[( )]TJ/F4 6.97 Tf 6.23 0 Td[(1)]TJ/F19 9.96 Tf 4.58 11.5 Td[()]TJ/F1 9.96 Tf 4.57 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.87 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F10 6.97 Tf 3.88 3.62 Td[(n)]TJ/F16 6.97 Tf 4.92 0 Td[( )]TJ/F10 6.97 Tf 6.23 0 Td[(j)]TJ/F7 9.96 Tf 4.2 -3.62 Td[(b)]TJ/F4 6.97 Tf 4.27 -1.49 Td[(2)]TJ/F10 6.97 Tf 3.97 0 Td[(;j)]TJ/F1 9.96 Tf -270.12 -11.32 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 102.13 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 58.82 6.97 Td[(.)]TJ 3.88 -2.99 Td[(.)]TJ 3.87 -2.99 Td[(.)]TJ 59.9 6.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ/F19 9.96 Tf -273.3 -4.49 Td[(P)]TJ/F4 6.97 Tf 10.51 -2.46 Td[(1)]TJ/F10 6.97 Tf 0 -8 Td[(j)]TJ/F4 6.97 Tf 3.7 0 Td[(=1)]TJ/F19 9.96 Tf 12.25 11.06 Td[( )]TJ/F4 6.97 Tf 9.53 -3.65 Td[(0)]TJ/F10 6.97 Tf -4.96 -7.85 Td[(j)]TJ/F16 6.97 Tf 3.7 0 Td[( )]TJ/F4 6.97 Tf 6.22 0 Td[(1)]TJ/F19 9.96 Tf 3.97 11.5 Td[()]TJ/F1 9.96 Tf 4.57 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.87 0 Td[(r)]TJ/F1 9.96 Tf 4.78 0 Td[(\051)]TJ/F4 6.97 Tf 3.87 3.62 Td[(1)]TJ/F16 6.97 Tf 3.97 0 Td[( )]TJ/F10 6.97 Tf 6.23 0 Td[(j)]TJ/F7 9.96 Tf 4.2 -3.62 Td[(b)]TJ/F10 6.97 Tf 4.27 -1.49 Td[(n;j)]TJ/F19 9.96 Tf 21.45 8.96 Td[(P)]TJ/F4 6.97 Tf 10.52 -2.46 Td[(2)]TJ/F10 6.97 Tf 0 -8 Td[(j)]TJ/F4 6.97 Tf 3.7 0 Td[(=1)]TJ/F19 9.96 Tf 12.24 11.06 Td[( )]TJ/F4 6.97 Tf 9.53 -3.65 Td[(1)]TJ/F10 6.97 Tf -4.96 -7.85 Td[(j)]TJ/F16 6.97 Tf 3.7 0 Td[( )]TJ/F4 6.97 Tf 6.23 0 Td[(1)]TJ/F19 9.96 Tf 3.97 11.5 Td[()]TJ/F1 9.96 Tf 4.56 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.88 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F4 6.97 Tf 3.87 3.62 Td[(2)]TJ/F16 6.97 Tf 3.98 0 Td[( )]TJ/F10 6.97 Tf 6.22 0 Td[(j)]TJ/F7 9.96 Tf 4.2 -3.62 Td[(b)]TJ/F10 6.97 Tf 4.28 -1.49 Td[(n;j)]TJ/F7 9.96 Tf 21.45 1.49 Td[(:)-166(:)-167(:)]TJ/F19 9.96 Tf 23.24 7.47 Td[(P)]TJ/F10 6.97 Tf 10.52 -2.46 Td[(n)]TJ 0 -8 Td[(j)]TJ/F4 6.97 Tf 3.7 0 Td[(=1)]TJ/F19 9.96 Tf 12.24 11.06 Td[( )]TJ/F10 6.97 Tf 4.57 -3.65 Td[(n)]TJ/F16 6.97 Tf 4.93 0 Td[( )]TJ/F4 6.97 Tf 6.22 0 Td[(1)]TJ/F10 6.97 Tf -10.54 -7.85 Td[(j)]TJ/F16 6.97 Tf 3.7 0 Td[( )]TJ/F4 6.97 Tf 6.23 0 Td[(1)]TJ/F19 9.96 Tf 4.58 11.5 Td[()]TJ/F1 9.96 Tf 4.57 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.87 0 Td[(r)]TJ/F1 9.96 Tf 4.78 0 Td[(\051)]TJ/F10 6.97 Tf 3.87 3.62 Td[(n)]TJ/F16 6.97 Tf 4.92 0 Td[( )]TJ/F10 6.97 Tf 6.23 0 Td[(j)]TJ/F7 9.96 Tf 4.2 -3.62 Td[(b)]TJ/F10 6.97 Tf 4.27 -1.49 Td[(n;j)]TJ/F19 9.96 Tf 13.15 57.35 Td[(1)]TJ 0 -17.53 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.97 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -6.38 Td[(A)]TJ/F7 9.96 Tf 10.38 9.86 Td[(:)]TJ/F1 9.96 Tf 4.45 -11.95 Td[(\05010\051)]TJ -389.24 -36.38 Td[(Remem)29(b)-27(ering)-333(that)-333(man)29(y)-334(of)-333(the)]TJ/F7 9.96 Tf 140.47 0 Td[(b)]TJ/F10 6.97 Tf 4.28 -1.5 Td[(ij)]TJ/F1 9.96 Tf 10.34 1.5 Td[(are)-332(zero)-333(and)-333(then)-332(applying)-333(equation)-332(\0503\051,)-333(w)27(e)-333(see)-332(that)]TJ/F7 9.96 Tf -140.78 -48.78 Td[(G)]TJ/F1 9.96 Tf 10.6 0 Td[(=)]TJ/F19 9.96 Tf 10.52 31.98 Td[(0)]TJ 0 -17.53 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -6.37 Td[(@)]TJ/F7 9.96 Tf 10.85 37.22 Td[(b)]TJ/F4 6.97 Tf 4.28 -1.5 Td[(1)]TJ/F10 6.97 Tf 3.97 0 Td[(;)]TJ/F4 6.97 Tf 2.37 0 Td[(1)]TJ/F1 9.96 Tf 20.43 1.5 Td[(0)-2111(0)]TJ/F7 9.96 Tf 46.47 0 Td[(:)-167(:)-166(:)]TJ/F1 9.96 Tf 29.25 0 Td[(0)]TJ/F7 9.96 Tf -106.77 -11.96 Td[(b)]TJ/F4 6.97 Tf 4.28 -1.49 Td[(2)]TJ/F10 6.97 Tf 3.97 0 Td[(;)]TJ/F4 6.97 Tf 2.37 0 Td[(1)]TJ/F7 9.96 Tf 15.38 1.49 Td[(b)]TJ/F4 6.97 Tf 4.28 -1.49 Td[(2)]TJ/F10 6.97 Tf 3.97 0 Td[(;)]TJ/F4 6.97 Tf 2.36 0 Td[(2)]TJ/F1 9.96 Tf 20.44 1.49 Td[(0)]TJ/F7 9.96 Tf 20.47 0 Td[(:)-167(:)-166(:)]TJ/F1 9.96 Tf 29.25 0 Td[(0)]TJ/F7 9.96 Tf -106.77 -11.95 Td[(b)]TJ/F4 6.97 Tf 4.28 -1.5 Td[(3)]TJ/F10 6.97 Tf 3.97 0 Td[(;)]TJ/F4 6.97 Tf 2.37 0 Td[(1)]TJ/F7 9.96 Tf 15.38 1.5 Td[(b)]TJ/F4 6.97 Tf 4.28 -1.5 Td[(3)]TJ/F10 6.97 Tf 3.97 0 Td[(;)]TJ/F4 6.97 Tf 2.36 0 Td[(2)]TJ/F7 9.96 Tf 15.39 1.5 Td[(b)]TJ/F4 6.97 Tf 4.28 -1.5 Td[(3)]TJ/F10 6.97 Tf 3.97 0 Td[(;)]TJ/F4 6.97 Tf 2.36 0 Td[(3)]TJ/F7 9.96 Tf 14.91 1.5 Td[(:)-167(:)-166(:)]TJ/F1 9.96 Tf 29.25 0 Td[(0)]TJ -100.61 -10.88 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 26 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 26 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 20.75 6.97 Td[(.)]TJ 3.87 -2.99 Td[(.)]TJ 3.87 -2.98 Td[(.)]TJ 21.23 6.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ/F7 9.96 Tf -108.35 -11.96 Td[(b)]TJ/F10 6.97 Tf 4.27 -1.49 Td[(n;)]TJ/F4 6.97 Tf 7.29 0 Td[(1)]TJ/F7 9.96 Tf 14.44 1.49 Td[(b)]TJ/F10 6.97 Tf 4.27 -1.49 Td[(n;)]TJ/F4 6.97 Tf 7.29 0 Td[(2)]TJ/F7 9.96 Tf 14.43 1.49 Td[(b)]TJ/F10 6.97 Tf 4.28 -1.49 Td[(n;)]TJ/F4 6.97 Tf 7.29 0 Td[(3)]TJ/F7 9.96 Tf 14.43 1.49 Td[(:)-167(:)-166(:)-1167(b)]TJ/F10 6.97 Tf 27.52 -1.49 Td[(n;n)]TJ/F19 9.96 Tf 14.38 60.83 Td[(1)]TJ 0 -17.53 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -6.37 Td[(A)]TJ 10.38 44.83 Td[(0)]TJ 0 -17.54 Td[(B)]TJ 0 -5.97 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -6.37 Td[(@)]TJ 10.37 50.04 Td[( )]TJ/F4 6.97 Tf 4.57 -3.65 Td[(0)]TJ 0 -7.86 Td[(0)]TJ/F19 9.96 Tf 3.97 11.51 Td[()]TJ/F1 9.96 Tf 4.57 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.87 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F4 6.97 Tf 3.88 3.61 Td[(0)]TJ/F19 9.96 Tf 14.43 4.46 Td[( )]TJ/F4 6.97 Tf 4.57 -3.65 Td[(1)]TJ 0 -7.86 Td[(0)]TJ/F19 9.96 Tf 3.97 11.51 Td[()]TJ/F1 9.96 Tf 4.56 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.88 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F4 6.97 Tf 3.87 3.61 Td[(1)]TJ/F19 9.96 Tf 14.44 4.46 Td[( )]TJ/F4 6.97 Tf 4.56 -3.65 Td[(2)]TJ 0 -7.86 Td[(0)]TJ/F19 9.96 Tf 3.97 11.51 Td[()]TJ/F1 9.96 Tf 4.57 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.87 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F4 6.97 Tf 3.88 3.61 Td[(2)]TJ/F7 9.96 Tf 14.43 -3.61 Td[(:)-167(:)-166(:)]TJ/F19 9.96 Tf 23.25 8.07 Td[( )]TJ/F10 6.97 Tf 4.56 -3.65 Td[(n)]TJ/F16 6.97 Tf 4.93 0 Td[( )]TJ/F4 6.97 Tf 6.22 0 Td[(1)]TJ -5.57 -7.86 Td[(0)]TJ/F19 9.96 Tf 9.55 11.51 Td[()]TJ/F1 9.96 Tf 4.56 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.88 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F10 6.97 Tf 3.87 3.61 Td[(n)]TJ/F16 6.97 Tf 4.93 0 Td[( )]TJ/F4 6.97 Tf 6.22 0 Td[(1)]TJ/F1 9.96 Tf -178.78 -17.01 Td[(0)]TJ/F19 9.96 Tf 27.5 8.07 Td[( )]TJ/F4 6.97 Tf 4.57 -3.65 Td[(1)]TJ 0 -7.86 Td[(1)]TJ/F19 9.96 Tf 3.97 11.51 Td[()]TJ/F1 9.96 Tf 4.56 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.88 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F4 6.97 Tf 3.87 3.61 Td[(0)]TJ/F19 9.96 Tf 14.44 4.46 Td[( )]TJ/F4 6.97 Tf 4.56 -3.65 Td[(2)]TJ 0 -7.86 Td[(1)]TJ/F19 9.96 Tf 3.97 11.51 Td[()]TJ/F1 9.96 Tf 4.57 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.87 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F4 6.97 Tf 3.88 3.61 Td[(1)]TJ/F7 9.96 Tf 14.43 -3.61 Td[(:)-167(:)-166(:)]TJ/F19 9.96 Tf 23.25 8.07 Td[( )]TJ/F10 6.97 Tf 4.56 -3.65 Td[(n)]TJ/F16 6.97 Tf 4.93 0 Td[( )]TJ/F4 6.97 Tf 6.22 0 Td[(1)]TJ -5.57 -7.86 Td[(1)]TJ/F19 9.96 Tf 9.55 11.51 Td[()]TJ/F1 9.96 Tf 4.56 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.88 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F10 6.97 Tf 3.87 3.61 Td[(n)]TJ/F16 6.97 Tf 4.93 0 Td[( )]TJ/F4 6.97 Tf 6.22 0 Td[(2)]TJ/F1 9.96 Tf -178.78 -17.01 Td[(0)-3522(0)]TJ/F19 9.96 Tf 67.56 8.07 Td[( )]TJ/F4 6.97 Tf 4.56 -3.65 Td[(2)]TJ 0 -7.85 Td[(2)]TJ/F19 9.96 Tf 3.97 11.5 Td[()]TJ/F1 9.96 Tf 4.57 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.87 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F4 6.97 Tf 3.88 3.62 Td[(0)]TJ/F7 9.96 Tf 14.43 -3.62 Td[(:)-167(:)-166(:)]TJ/F19 9.96 Tf 23.25 8.07 Td[( )]TJ/F10 6.97 Tf 4.56 -3.65 Td[(n)]TJ/F16 6.97 Tf 4.93 0 Td[( )]TJ/F4 6.97 Tf 6.22 0 Td[(1)]TJ -5.57 -7.85 Td[(2)]TJ/F19 9.96 Tf 9.55 11.5 Td[()]TJ/F1 9.96 Tf 4.56 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.88 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F10 6.97 Tf 3.87 3.62 Td[(n)]TJ/F16 6.97 Tf 4.93 0 Td[( )]TJ/F4 6.97 Tf 6.22 0 Td[(3)]TJ/F1 9.96 Tf -177.67 -15.13 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 40.05 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 40.06 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 27.77 6.97 Td[(.)]TJ 3.88 -2.99 Td[(.)]TJ 3.87 -2.99 Td[(.)]TJ 38.93 6.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ -155.67 -11.96 Td[(0)-3522(0)-3521(0)]TJ/F7 9.96 Tf 107.61 0 Td[(:)-167(:)-166(:)]TJ/F19 9.96 Tf 28.82 8.07 Td[( )]TJ/F10 6.97 Tf 4.57 -3.65 Td[(n)]TJ/F16 6.97 Tf 4.92 0 Td[( )]TJ/F4 6.97 Tf 6.23 0 Td[(1)]TJ/F10 6.97 Tf -11.15 -7.85 Td[(n)]TJ/F16 6.97 Tf 4.92 0 Td[( )]TJ/F4 6.97 Tf 6.23 0 Td[(1)]TJ/F19 9.96 Tf 3.97 11.5 Td[()]TJ/F1 9.96 Tf 4.57 -8.07 Td[(\050)]TJ/F7 9.96 Tf 3.87 0 Td[(r)]TJ/F1 9.96 Tf 4.77 0 Td[(\051)]TJ/F4 6.97 Tf 3.88 3.62 Td[(0)]TJ/F19 9.96 Tf 11.7 60.47 Td[(1)]TJ 0 -17.54 Td[(C)]TJ 0 -5.97 Td[(C)]TJ 0 -5.98 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Td[(1)-1001(3)-1250(6)-1251(10)-1000(15)]TJ/F13 9.96 Tf 89.67 0 Td[()-166()-167()]TJ/F1 9.96 Tf -89.67 -11.95 Td[(1)-1001(4)-1000(10)-1001(20)-1000(35)]TJ/F13 9.96 Tf 89.67 0 Td[()-166()-167()]TJ/F1 9.96 Tf -89.67 -11.96 Td[(1)-1001(5)-1000(15)-1001(35)-1000(70)]TJ/F13 9.96 Tf 89.67 0 Td[()-166()-167()]TJ/F1 9.96 Tf -88.56 -8.02 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 14.94 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 17.44 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 19.92 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 19.93 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 17.71 6.97 Td[(.)]TJ 3.87 -2.99 Td[(.)]TJ 3.88 -2.99 Td[(.)]TJ/F19 9.96 Tf 5.81 68.87 Td[(1)]TJ 0 -17.53 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.97 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -6.38 Td[(A)]TJ/F1 9.96 Tf 11.49 15.85 Td[(=)]TJ/F19 9.96 Tf 10.51 37.95 Td[(0)]TJ 0 -17.53 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.97 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -6.38 Td[(@)]TJ/F1 9.96 Tf 10.38 47.75 Td[(1)-1000(0)-1001(0)-1000(0)-1000(0)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -74.72 -11.95 Td[(1)-1000(1)-1001(0)-1000(0)-1000(0)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -74.72 -11.96 Td[(1)-1000(2)-1001(1)-1000(0)-1000(0)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -74.72 -11.95 Td[(1)-1000(3)-1001(3)-1000(1)-1000(0)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -74.72 -11.96 Td[(1)-1000(4)-1001(6)-1000(4)-1000(1)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -73.61 -8.02 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 14.94 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 14.94 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 14.95 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 14.94 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 15.22 6.97 Td[(.)]TJ 3.88 -2.99 Td[(.)]TJ 3.87 -2.99 Td[(.)]TJ/F19 9.96 Tf 5.81 68.87 Td[(1)]TJ 0 -17.53 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.97 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -6.38 Td[(A)]TJ 10.38 53.8 Td[(0)]TJ 0 -17.53 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.97 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -6.38 Td[(@)]TJ/F1 9.96 Tf 10.38 47.75 Td[(1)-1000(1)-1001(1)-1000(1)-1000(1)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -74.72 -11.95 Td[(0)-1000(1)-1001(2)-1000(3)-1000(4)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -74.72 -11.96 Td[(0)-1000(0)-1001(1)-1000(3)-1000(6)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -74.72 -11.95 Td[(0)-1000(0)-1001(0)-1000(1)-1000(4)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -74.72 -11.96 Td[(0)-1000(0)-1001(0)-1000(0)-1000(1)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -73.62 -8.02 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 14.95 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 14.94 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 14.95 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 14.94 7.97 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 15.22 6.97 Td[(.)]TJ 3.88 -2.99 Td[(.)]TJ 3.87 -2.99 Td[(.)]TJ/F19 9.96 Tf 5.81 68.87 Td[(1)]TJ 0 -17.53 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.97 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -6.38 Td[(A)]TJ/F7 9.96 Tf 10.38 15.85 Td[(:)]TJ/F1 9.96 Tf 17.09 0 Td[(\05019\051)]TJ -389.24 -53.52 Td[(This)-312(matrix)-312(is)-312(sp)-27(ecial)-312(in)-312(that)-313(its)-312(seed)-311(matrix)-312(is)-312(just)-311(a)-313(shifted)-311(cop)28(y)-312(of)-313(the)-312(original)-312(matrix.)-437(It)-312(is)]TJ 0 -11.96 Td[(natural)-333(to)-333(ask)-333(if)-333(other)-333(matrices)-331(share)-332(this)-333(prop)-27(ert)29(y)83(.)]TJ 19.92 -11.95 Td[(F)83(urther)-298(study)-297(of)-299(\05016\051)-300(sho)29(ws)-299(that)-299(the)-298(seed)-298(matrix)-298(of)]TJ/F7 9.96 Tf 225.33 0 Td[(Q)]TJ/F10 6.97 Tf 7.88 3.61 Td[(T)]TJ/F1 9.96 Tf 9.25 -3.61 Td[(is)-299(the)-298(exact)-298(lo)28(w)27(er)-298(triangular)-298(form)]TJ -262.38 -11.96 Td[(of)]TJ/F7 9.96 Tf 11.35 0 Td[(Q)]TJ/F10 6.97 Tf 7.87 3.62 Td[(T)]TJ/F1 9.96 Tf 6.28 -3.62 Td[(.)-444(Similarly)85(,)-334(for)-333(Vieta's)-332(arra)28(y)-333(\050c.f.)-444(T)83(able)-333(2)-333(in)-333([7]\051:)]TJ/F19 9.96 Tf -13.66 -17.6 Td[(0)]TJ 0 -17.54 Td[(B)]TJ 0 -5.97 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -6.37 Td[(@)]TJ/F1 9.96 Tf 10.37 47.75 Td[(1)-1001(2)-1250(2)-1501(2)-1750(2)]TJ/F13 9.96 Tf 94.65 0 Td[()-166()-167()]TJ/F1 9.96 Tf -94.65 -11.96 Td[(1)-1001(3)-1250(5)-1501(7)-1750(9)]TJ/F13 9.96 Tf 94.65 0 Td[()-166()-167()]TJ/F1 9.96 Tf -94.65 -11.95 Td[(1)-1001(4)-1250(9)-1251(16)-1250(25)]TJ/F13 9.96 Tf 94.65 0 Td[()-166()-167()]TJ/F1 9.96 Tf -94.65 -11.96 Td[(1)-1001(5)-1000(14)-1001(30)-1250(55)]TJ/F13 9.96 Tf 94.65 0 Td[()-166()-167()]TJ/F1 9.96 Tf -94.65 -11.95 Td[(1)-1001(6)-1000(20)-1001(50)-1000(105)]TJ/F13 9.96 Tf 94.65 0 Td[()-166()-167()]TJ/F1 9.96 Tf -93.54 -8.03 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 14.94 7.97 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 17.44 7.97 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 19.92 7.97 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 22.42 7.97 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 20.2 6.98 Td[(.)]TJ 3.88 -2.99 Td[(.)]TJ 3.87 -2.99 Td[(.)]TJ/F19 9.96 Tf 5.81 68.87 Td[(1)]TJ 0 -17.54 Td[(C)]TJ 0 -5.97 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -6.37 Td[(A)]TJ/F1 9.96 Tf 11.49 15.84 Td[(=)]TJ/F19 9.96 Tf 10.51 37.96 Td[(0)]TJ 0 -17.54 Td[(B)]TJ 0 -5.97 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -6.37 Td[(@)]TJ/F1 9.96 Tf 10.38 47.75 Td[(1)-1000(0)-1001(0)-1000(0)-1001(0)]TJ/F13 9.96 Tf 74.72 0 Td[()-167()-166()]TJ/F1 9.96 Tf -74.72 -11.96 Td[(1)-1000(1)-1001(0)-1000(0)-1001(0)]TJ/F13 9.96 Tf 74.72 0 Td[()-167()-166()]TJ/F1 9.96 Tf -74.72 -11.95 Td[(1)-1000(2)-1001(1)-1000(0)-1001(0)]TJ/F13 9.96 Tf 74.72 0 Td[()-167()-166()]TJ/F1 9.96 Tf -74.72 -11.96 Td[(1)-1000(3)-1001(3)-1000(1)-1001(0)]TJ/F13 9.96 Tf 74.72 0 Td[()-167()-166()]TJ/F1 9.96 Tf -74.72 -11.95 Td[(1)-1000(4)-1001(6)-1000(4)-1001(1)]TJ/F13 9.96 Tf 74.72 0 Td[()-167()-166()]TJ/F1 9.96 Tf -73.61 -8.03 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 14.94 7.97 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 14.94 7.97 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 14.95 7.97 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 14.94 7.97 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 15.22 6.98 Td[(.)]TJ 3.88 -2.99 Td[(.)]TJ 3.87 -2.99 Td[(.)]TJ/F19 9.96 Tf 5.81 68.87 Td[(1)]TJ 0 -17.54 Td[(C)]TJ 0 -5.97 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -6.37 Td[(A)]TJ 10.38 53.8 Td[(0)]TJ 0 -17.54 Td[(B)]TJ 0 -5.97 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -6.37 Td[(@)]TJ/F1 9.96 Tf 10.38 47.75 Td[(1)-1000(2)-1001(2)-1000(2)-1000(2)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -74.72 -11.96 Td[(0)-1000(1)-1001(3)-1000(5)-1000(7)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -74.72 -11.95 Td[(0)-1000(0)-1001(1)-1000(4)-1000(9)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -74.72 -11.96 Td[(0)-1000(0)-1001(0)-1000(1)-1000(5)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -74.72 -11.95 Td[(0)-1000(0)-1001(0)-1000(0)-1000(1)]TJ/F13 9.96 Tf 74.72 0 Td[()-166()-167()]TJ/F1 9.96 Tf -73.61 -8.03 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 14.94 7.97 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 14.94 7.97 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 14.95 7.97 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 14.94 7.97 Td[(.)]TJ 0 -3.98 Td[(.)]TJ 0 -3.99 Td[(.)]TJ 15.22 6.98 Td[(.)]TJ 3.88 -2.99 Td[(.)]TJ 3.87 -2.99 Td[(.)]TJ/F19 9.96 Tf 5.81 68.87 Td[(1)]TJ 0 -17.54 Td[(C)]TJ 0 -5.97 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -5.98 Td[(C)]TJ 0 -6.37 Td[(A)]TJ/F7 9.96 Tf 10.38 15.84 Td[(:)]TJ/F1 9.96 Tf 14.6 0 Td[(\05020\051)]TJ -389.24 -54.07 Td[(Finally)84(,)-333(w)27(e)-333(decomp)-26(ose)-332(the)-333(Fib)-27(onacci)-333(arra)28(y)-333(giv)28(en)-333(b)28(y)-333(T)83(able)-333(3)-333(in)-333([7]:)]TJ/F19 9.96 Tf 14.33 -17.61 Td[(0)]TJ 0 -17.53 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.97 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -5.98 Td[(B)]TJ 0 -6.38 Td[(@)]TJ/F1 9.96 Tf 10.37 47.75 Td[(1)-1001(1)-1250(2)-1501(3)-1500(5)]TJ/F13 9.96 Tf 89.67 0 Td[()-166()-167()]TJ/F1 9.96 Tf -89.67 -11.95 Td[(1)-1001(2)-1250(4)-1501(7)-1250(12)]TJ/F13 9.96 Tf 89.67 0 Td[()-166()-167()]TJ/F1 9.96 Tf -89.67 -11.96 Td[(1)-1001(3)-1250(7)-1251(14)-1000(26)]TJ/F13 9.96 Tf 89.67 0 Td[()-166()-167()]TJ/F1 9.96 Tf -89.67 -11.95 Td[(1)-1001(4)-1000(11)-1001(25)-1000(51)]TJ/F13 9.96 Tf 89.67 0 Td[()-166()-167()]TJ/F1 9.96 Tf -89.67 -11.96 Td[(1)-1001(5)-1000(16)-1001(41)-1000(92)]TJ/F13 9.96 Tf 89.67 0 Td[()-166()-167()]TJ/F1 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