Content-Type: multipart/mixed; boundary="-------------0107060756160" This is a multi-part message in MIME format. ---------------0107060756160 Content-Type: text/plain; name="01-246.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="01-246.keywords" multi-dimensional semi-dispersing billiards, singularities, local ergodicity, fundamental theorem ---------------0107060756160 Content-Type: application/postscript; name="sing6.ps" Content-Transfer-Encoding: 7bit Content-Disposition: inline; filename="sing6.ps" %!PS-Adobe-2.0 %%Creator: dvips(k) 5.78 Copyright 1998 Radical Eye Software (www.radicaleye.com) %%Title: sing6.dvi %%Pages: 32 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%DocumentFonts: Courier %%EndComments %DVIPSCommandLine: dvips -o sing6.ps sing6.dvi %DVIPSParameters: dpi=600, compressed %DVIPSSource: TeX output 2001.06.05:2122 %%BeginProcSet: texc.pro %! /TeXDict 300 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N}B 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b(e.)h(those)44 b(with)e(con)m(v)m(ex)j (scatterers.)75 b(Their)43 b(theorem)150 2191 y(got)30 b(sligh)m(tly)g(generalized)g(with)h(the)g(clari\014cation)e(of)h(some) h(tec)m(hnical)g(details)f(and)h(conditions)f(b)m(y)150 2311 y(Kr\023)-49 b(amli,)30 b(Sim\023)-49 b(an)m(yi)31 b(and)h(Sz\023)-49 b(asz)34 b([K-S-Sz\(1990\)])d(in)h(1990.)296 2432 y(The)e(considerations)e(in)g(the)h(pro)s(of)f(of)g(the)h(lo)s (cal)d(ergo)s(dicit)m(y)h(theorem)i(are)f(lo)s(cal.)40 b(As)29 b(a)g(matter)150 2552 y(of)k(fact,)g(b)m(y)h(assuming)e(the)i (b)s(oundedness)h(\(from)d(ab)s(o)m(v)m(e\))i(of)e(the)i(curv)-5 b(ature)33 b(of)g(all)e(images)h(of)h(the)150 2672 y(tangencies,)i (whic)m(h)g(is)e(a)h(straigh)m(tforw)m(ard)g(fact)f(for)h Fx(d)c Fz(=)g(2,)k(it)f(b)s(ecame)h(p)s(ossible)g(to)g(assume)g(that) 150 2793 y(they)h(are)g(linear)d(ob)5 b(jects,)36 b(at)e(least)g(lo)s (cally)-8 b(.)46 b(Ho)m(w)m(ev)m(er,)37 b(in)d(the)h(recen)m(t)g(pap)s (er)g(of)f(the)h(presen)m(t)h(au-)150 2913 y(thors,)31 b([B-Ch-Sz-T\(2000\)])e(it)g(has)h(b)s(een)g(disco)m(v)m(ered)i(that)d (for)g Fx(d)f Fv(\025)g Fz(3,)i(in)f(the)h(neigh)m(b)s(ourho)s(o)s(ds)f (of)150 3033 y(tangen)m(t)e(orbits)f(the)h(images)e(of)h(tangencies)h (\(and)g(of)f(other)h(smo)s(oth)f(one-co)s(dimensional)d(subman-)150 3154 y(ifolds)g(of)g(the)i(phase)g(space\))g(dev)m(elop)g(a)f (pathological)d(b)s(eha)m(viour)j(con)m(tradicting)f(the)i(b)s (oundedness)150 3274 y(of)35 b(the)h(curv)-5 b(atures.)53 b(Therefore)36 b(for)f(its)g(o)m(wn)h(in)m(terest)g(but)g(also)e(for)h (its)g(v)-5 b(arious)35 b(imp)s(ortan)m(t)e(con-)150 3395 y(sequences)39 b(it)d(b)s(ecame)g(an)g(absolute)g(necessit)m(y)i (to)e(correct)g(the)h(original)c(argumen)m(ts)j(and)h(this)e(is)150 3515 y(the)e(sole)e(aim)g(of)g(this)h(w)m(ork.)44 b(Indeed,)34 b(instead)e(of)g(the)g(b)s(oundedness)j(prop)s(ert)m(y)e(of)e(the)i (aforemen-)150 3635 y(tioned)i(curv)-5 b(atures)36 b(w)m(e)h(form)m (ulate)d(a)h(new)h(condition,)f(the)g(so)h(called)e Fw(Lipschitz-de)-5 b(c)g(omp)g(osability)150 3756 y(c)g(ondition)p Fz(.)63 b(Roughly)39 b(sp)s(eaking)g(it)g(requires)h(that)f(the)h (singularities)d(can)j(b)s(e)g(decomp)s(osed)g(in)m(to)150 3876 y(a)45 b(\014nite)g(n)m(um)m(b)s(er)h(of)f(graphs)h(of)e(lo)s (cally)f(Lipsc)m(hitz)i(functions)h(with)f(the)h(b)s(oundaries)f(of)g (these)150 3997 y(graphs)39 b(b)s(e)f(not)g(to)s(o)f(wild.)60 b(This)38 b(assumption,)h(together)g(with)f(the)g(other)h(requiremen)m (ts)g(of)f(the)150 4117 y(lo)s(cal)e(ergo)s(dicit)m(y)h(theorem,)i(is)e (already)h(su\016cien)m(t)h(to)e(sa)m(v)m(e)j(the)e(old)f(pro)s(of.)59 b(The)39 b(next)f(question)150 4237 y(is,)44 b(of)e(course,)j(when)e (this)f(new)h(condition)e(holds.)71 b(F)-8 b(ortunately)g(,)44 b(w)m(e)f(can)f(v)m(erify)h(it)e(under)i(one)150 4358 y(additional)32 b(requiremen)m(t:)50 b(w)m(e)36 b(assume)g(that)f(the)h (scatterer)g(b)s(oundaries)f(are)h Fw(algebr)-5 b(aic)p Fz(.)50 b(Luc)m(kily)150 4478 y(enough,)27 b(the)e(main)d(examples)j (of)f(m)m(ultidimensional)c(semi-disp)s(ersing)i(billiards)g(are)i(all) f(algebraic.)150 4598 y(Just)k(think)f({)g(\014rst)g(of)g(all)e({)i(of) f(hard)h(ball)f(sytems)i([SSz\(1999\)],)g([S\(2001\)],)g(of)e(the)i (Loren)m(tz)g(pro)s(cess)150 4719 y(with)k(spherical)g(scatterers)i (\([H\(1974\)],)d([Sz\(2000\)]\),)i(of)f(general)f(algebraic)g (cylindrical)f(billiards)150 4839 y([Sz\(1994\)],)42 b([S\(2000\)],)g(and)f(of)f(the)h(m)m(ultidimensional)36 b(stadia)j(designed)j(b)m(y)f(Bunimo)m(vic)m(h)f(and)150 4960 y(Rehacek)34 b([B-R\(1998\)].)296 5080 y(F)-8 b(or)33 b(k)m(eeping)h(our)g(exp)s(osition)e(p)s(ossibly)i(short,)g(w)m(e)g (rely)g(hea)m(vily)f(on)h(that)f(of)g([K-S-Sz\(1990\)].)150 5200 y(In)c(section)h(2,)f(w)m(e)h(summarize)e(the)h(necessary)j (notations)c(and)h(prerequisites)h(from)e(the)h(aforemen-)150 5321 y(tioned)23 b(w)m(ork.)42 b(Section)23 b(3)h(is)f(dev)m(oted)j(to) d(the)h(study)h(of)f(singularities.)38 b(In)24 b(particular,)g(in)f (subsection)2001 5656 y(3)p eop 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b(,)44 b(the)e(argumen)m(ts)f(are)150 1249 y(still)30 b(elemen)m(tary)-8 b(.)150 1579 y Fy(2)161 b(Prerequisites)150 1798 y Fz(The)42 b(metho)s(ds)f(in)g(this)g(pap)s (er,)j(though)d(quite)g(elemen)m(tary)-8 b(,)44 b(come)d(from)f (di\013eren)m(t)h(branc)m(hes)i(of)150 1919 y(mathematics.)58 b(Throughout)39 b(the)f(argumen)m(ts)g(w)m(e)h(try)g(to)e(k)m(eep)j (the)e(exp)s(osition)f(self-con)m(tained.)150 2039 y(More)28 b(details)e(on)h(the)g(basic)g(notions)g(from)f(algebra)g(or)h (geometric)f(measure)h(theory)h(can)f(b)s(e)h(found)150 2160 y(in)c(the)i(b)s(o)s(oks)f([B-C-R\(1987\)],)g([Sh\(1974\)],)h ([St\(1973\)])e(and)h([F\(1969\)],)h([F)-8 b(a\(1985\)];)26 b(resp)s(ectiv)m(ely)-8 b(.)296 2280 y(W)g(e)45 b(w)m(ould)f(also)f (lik)m(e)g(to)g(\014x)i(one)f(notation:)65 b(for)43 b(an)m(y)i(subset)g (in)e(a)h(Riemannian)e(manifold)150 2400 y Fx(H)35 b Fv(\032)28 b(M)p Fz(,)33 b Fx(H)640 2364 y Fu([)p Ft(\016)r Fu(])749 2400 y Fz(shall)e(denote)i(its)f Fx(\016)t Fz(-neigh)m(b)s 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y(return)f(map)f(on)h Fx(@)5 b(M)10 b Fz(.)55 b(The)36 b(in)m(v)-5 b(arian)m(t)35 b(measure)h(for)f(the)h (map)f(is)h(denoted)g(b)m(y)h Fx(\026)3265 1079 y Fu(1)3304 1064 y Fz(,)g(and)f(w)m(e)h(ha)m(v)m(e)150 1185 y Fx(d\026)260 1200 y Fu(1)328 1185 y Fz(=)30 b(const)p Fx(:)17 b Fv(jh)p Fx(v)t(;)g(n)p Fz(\()p Fx(q)t Fz(\))p Fv(ij)g Fx(dq)t(dv)t Fz(.)43 b(Throughout)34 b(the)h(pap)s(er)e(\(except)i(for)f(subsection) g(5.1\))f(w)m(e)i(w)m(ork)150 1305 y(with)42 b(this)f(discrete)i(time)e (dynamical)f(system.)73 b(Its)43 b(ergo)s(dicit)m(y)e(implies)e(that)j (of)g(the)g(\015o)m(w)h(\(see)150 1425 y([K-S-Sz\(1990\)]\).)296 1592 y Fp(Singularities.)e Fz(Consider)33 b(the)g(set)h(of)e(tangen)m (tial)f(re\015ections,)i(i.e.)1277 1800 y Fv(R)28 b Fz(:=)g Fv(f)p Fz(\()p Fx(q)t(;)17 b(v)t Fz(\))27 b Fv(2)h Fx(@)5 b(M)44 b Fv(j)32 b(h)p Fx(v)t(;)17 b(n)p Fz(\()p Fx(q)t Fz(\))p Fv(i)27 b Fz(=)g(0)p Fv(g)p Fx(:)150 2009 y Fz(It)36 b(is)f(easy)i(to)f(see)h(that)e(the)i(map)e Fx(T)49 b Fz(is)35 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y(b)s(e)j(treated)g(as)g(submanifolds)e(of)h Fx(@)5 b(M)44 b Fz(only)32 b(in)g(a)g(top)s(ological)d(sense)34 b(\(see)g(section)f(3\).)150 3100 y Fp(Remark)k(2.1.)49 b Fw(A)n(b)-5 b(ove)32 b(the)g(\(tangential\))f(singularities)h(have)g (b)-5 b(e)g(en)31 b(intr)-5 b(o)g(duc)g(e)g(d)32 b(for)g(the)h(Poinc)-5 b(ar)n(\023)-47 b(e)150 3221 y(se)-5 b(ction)29 b(map)f Fx(T)14 b Fw(.)43 b(But)29 b(in)g(a)g(p)-5 b(art)29 b(of)g(the)g(pr)-5 b(o)g(of)29 b(fol)5 b(lowing)27 b(r)-5 b(e)g(amrk)29 b(5.3)g(they)g(wil)5 b(l)29 b(also)f(b)-5 b(e)29 b(ne)-5 b(e)g(de)g(d)28 b(for)150 3341 y(the)k(\015ow.)43 b(In)31 b(fact,)i(the)e(aim)g(of)h(the)g(afor)-5 b(ementione)g(d)30 b(r)-5 b(emark)31 b(is)g(just)i(to)f(hint)f(how)g(this)h(extension)150 3461 y(of)j(the)f(singularities)h(is)f(understo)-5 b(o)g(d.)296 3655 y Fz(F)d(or)28 b(completeness)h(w)m(e)g(men)m(tion)e(that)h(in)f (case)i(the)g(b)s(oundary)f Fx(@)5 b(Q)30 b Fz(is)d(only)h(piecewise)h (smo)s(oth,)150 3775 y(further)k(singularities)e({)i(the)g(m)m(ultiple) e(collisions)f({)j(arise)g(\(see)h([K-S-Sz\(1990\)]\).)43 b(In)34 b(the)f(presen)m(t)150 3895 y(pap)s(er)43 b(w)m(e)h(consider)g (only)e(tangen)m(tial)g(singularities,)h(the)h(treatmen)m(t)f(of)f(m)m (ultiple)f(collisions)f(is)150 4016 y(analogous.)296 4136 y(W)-8 b(e)37 b(in)m(tro)s(duce)g(some)f(more)g(notation.)55 b(F)-8 b(or)35 b(an)m(y)j Fx(n)c Fv(2)h Fq(N)9 b Fz(,)44 b(\001)2621 4151 y Ft(n)2705 4136 y Fz(stands)37 b(for)g(the)g(set)g (of)f(doubly)150 4257 y(singular)42 b(phase)i(p)s(oin)m(ts)e(up)i(to)e (order)i Fx(n)p Fz(,)i(i.e.)74 b Fx(x)46 b Fv(2)g Fx(@)5 b(M)55 b Fz(b)s(elongs)42 b(to)h(\001)2981 4272 y Ft(n)3071 4257 y Fz(whenev)m(er)j(there)e(are)150 4377 y(indices)28 b Fx(k)517 4392 y Fu(1)583 4377 y Fv(6)p Fz(=)g Fx(k)738 4392 y Fu(2)777 4377 y Fz(,)h Fv(j)p Fx(k)912 4392 y Ft(i)940 4377 y Fv(j)e(\024)h Fx(n)g Fz(suc)m(h)h(that)f(b)s(oth)g Fx(T)1905 4341 y Ft(k)1942 4350 y Fo(1)1980 4377 y Fx(x)g Fz(and)g Fx(T)2319 4341 y Ft(k)2356 4350 y Fo(2)2394 4377 y Fx(x)g Fz(are)g(elemen)m(ts)g(of)g Fv(R)p Fz(.)42 b(W)-8 b(e)28 b(are)g(mainly)150 4497 y(in)m(terested)38 b(in)e(phase)i(p)s(oin)m(ts)f(with)f(regular)g(or)h(with)g(at)f(most)h (once)g(singular)f(tra)5 b(jectories,)38 b(th)m(us)150 4618 y(w)m(e)c(consider)f(the)g(follo)m(wing)c(sets:)1480 4838 y Fx(@)5 b(M)1640 4797 y Fu(0)1708 4838 y Fz(:=)166 b Fx(@)5 b(M)34 b Fv(n)2245 4743 y Fn([)2233 4955 y Ft(n)p Fr(2)p Fm(Z)2384 4838 y Fv(R)2468 4797 y Fu(\()p Ft(n)p Fu(\))1480 5166 y Fx(@)5 b(M)1640 5124 y Fr(\003)1708 5166 y Fz(:=)166 b Fx(@)5 b(M)34 b Fv(n)2264 5041 y Fr(1)2244 5071 y Fn([)2233 5280 y Ft(n)p Fu(=1)2383 5166 y Fz(\001)2464 5181 y Ft(n)1480 5407 y Fx(@)5 b(M)1640 5366 y Fu(1)1708 5407 y Fz(:=)166 b Fx(@)5 b(M)2137 5366 y Fr(\003)2201 5407 y Fv(n)22 b Fx(@)5 b(M)2433 5366 y Fu(0)2474 5407 y Fx(:)1198 b Fz(\(2.2\))2001 5656 y(5)p eop %%Page: 6 6 6 5 bop 150 407 a Fz(As)36 b(to)f(regular)f(and)h(at)g(most)g(once)h 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232.546 m 102.846 237.267 L 102.336 244.702 L F 0 g 97.861 232.546 m 102.846 237.267 L 102.336 244.702 L S 1. g 102.846 237.267 m 97.861 232.546 L 98.3923 225.158 L F 0 g 102.846 237.267 m 97.861 232.546 L 98.3923 225.158 L S 1. g 93.3811 220.368 m 98.3923 225.158 L 97.861 232.546 L F 0 g 93.3811 220.368 m 98.3923 225.158 L 97.861 232.546 L S 1. g 98.3923 225.158 m 93.3811 220.368 L 93.9341 213.028 L F 0 g 98.3923 225.158 m 93.3811 220.368 L 93.9341 213.028 L S 1. g 115.253 288.684 m 120.148 293.108 L 119.716 300.802 L F 0 g 115.253 288.684 m 120.148 293.108 L 119.716 300.802 L S 1. g 120.148 293.108 m 115.253 288.684 L 115.707 281.038 L F 0 g 120.148 293.108 m 115.253 288.684 L 115.707 281.038 L S 1. g 88.8926 208.164 m 93.9341 213.028 L 93.3811 220.368 L F 0 g 88.8926 208.164 m 93.9341 213.028 L 93.3811 220.368 L S 1. g 110.782 276.545 m 115.707 281.038 L 115.253 288.684 L F 0 g 110.782 276.545 m 115.707 281.038 L 115.253 288.684 L S 1. g 115.707 281.038 m 110.782 276.545 L 111.257 268.95 L F 0 g 115.707 281.038 m 110.782 276.545 L 111.257 268.95 L S 1. g 106.307 264.384 m 111.257 268.95 L 110.782 276.545 L F 0 g 106.307 264.384 m 111.257 268.95 L 110.782 276.545 L S 1. g 111.257 268.95 m 106.307 264.384 L 106.799 256.837 L F 0 g 111.257 268.95 m 106.307 264.384 L 106.799 256.837 L S 1. g 101.818 252.202 m 106.799 256.837 L 106.307 264.384 L F 0 g 101.818 252.202 m 106.799 256.837 L 106.307 264.384 L S 1. g 106.799 256.837 m 101.818 252.202 L 102.336 244.702 L F 0 g 106.799 256.837 m 101.818 252.202 L 102.336 244.702 L S 1. g 97.3253 239.998 m 102.336 244.702 L 101.818 252.202 L F 0 g 97.3253 239.998 m 102.336 244.702 L 101.818 252.202 L S 1. g 102.336 244.702 m 97.3253 239.998 L 97.861 232.546 L F 0 g 102.336 244.702 m 97.3253 239.998 L 97.861 232.546 L S 1. g 119.275 308.565 m 124.17 312.898 L 123.751 320.708 L F 0 g 119.275 308.565 m 124.17 312.898 L 123.751 320.708 L S 1. g 124.17 312.898 m 119.275 308.565 L 119.716 300.802 L F 0 g 124.17 312.898 m 119.275 308.565 L 119.716 300.802 L S 1. g 114.795 296.4 m 119.716 300.802 L 119.275 308.565 L F 0 g 114.795 296.4 m 119.716 300.802 L 119.275 308.565 L S 1. g 119.716 300.802 m 114.795 296.4 L 115.253 288.684 L F 0 g 119.716 300.802 m 114.795 296.4 L 115.253 288.684 L S 1. g 92.8238 227.772 m 97.861 232.546 L 97.3253 239.998 L F 0 g 92.8238 227.772 m 97.861 232.546 L 97.3253 239.998 L S 1. g 97.861 232.546 m 92.8238 227.772 L 93.3811 220.368 L F 0 g 97.861 232.546 m 92.8238 227.772 L 93.3811 220.368 L S 1. g 88.3138 215.52 m 93.3811 220.368 L 92.8238 227.772 L F 0 g 88.3138 215.52 m 93.3811 220.368 L 92.8238 227.772 L S 1. g 93.3811 220.368 m 88.3138 215.52 L 88.8926 208.164 L F 0 g 93.3811 220.368 m 88.3138 215.52 L 88.8926 208.164 L S 1. g 110.303 284.213 m 115.253 288.684 L 114.795 296.4 L F 0 g 110.303 284.213 m 115.253 288.684 L 114.795 296.4 L S 1. g 115.253 288.684 m 110.303 284.213 L 110.782 276.545 L F 0 g 115.253 288.684 m 110.303 284.213 L 110.782 276.545 L S 1. g 105.805 272.004 m 110.782 276.545 L 110.303 284.213 L F 0 g 105.805 272.004 m 110.782 276.545 L 110.303 284.213 L S 1. g 110.782 276.545 m 105.805 272.004 L 106.307 264.384 L F 0 g 110.782 276.545 m 105.805 272.004 L 106.307 264.384 L S 1. g 83.795 203.252 m 88.8926 208.164 L 88.3138 215.52 L F 0 g 83.795 203.252 m 88.8926 208.164 L 88.3138 215.52 L S 1. g 101.3 259.775 m 106.307 264.384 L 105.805 272.004 L F 0 g 101.3 259.775 m 106.307 264.384 L 105.805 272.004 L S 1. g 106.307 264.384 m 101.3 259.775 L 101.818 252.202 L F 0 g 106.307 264.384 m 101.3 259.775 L 101.818 252.202 L S 1. g 96.7853 247.519 m 101.818 252.202 L 101.3 259.775 L F 0 g 96.7853 247.519 m 101.818 252.202 L 101.3 259.775 L S 1. g 101.818 252.202 m 96.7853 247.519 L 97.3253 239.998 L F 0 g 101.818 252.202 m 96.7853 247.519 L 97.3253 239.998 L S 1. g 118.835 316.397 m 123.751 320.708 L 123.332 328.588 L F 0 g 118.835 316.397 m 123.751 320.708 L 123.332 328.588 L S 1. g 123.751 320.708 m 118.835 316.397 L 119.275 308.565 L F 0 g 123.751 320.708 m 118.835 316.397 L 119.275 308.565 L S 1. g 92.2579 235.246 m 97.3253 239.998 L 96.7853 247.519 L F 0 g 92.2579 235.246 m 97.3253 239.998 L 96.7853 247.519 L S 1. g 97.3253 239.998 m 92.2579 235.246 L 92.8238 227.772 L F 0 g 97.3253 239.998 m 92.2579 235.246 L 92.8238 227.772 L S 1. g 114.333 304.184 m 119.275 308.565 L 118.835 316.397 L F 0 g 114.333 304.184 m 119.275 308.565 L 118.835 316.397 L S 1. g 119.275 308.565 m 114.333 304.184 L 114.795 296.4 L F 0 g 119.275 308.565 m 114.333 304.184 L 114.795 296.4 L S 1. g 109.819 291.95 m 114.795 296.4 L 114.333 304.184 L F 0 g 109.819 291.95 m 114.795 296.4 L 114.333 304.184 L S 1. g 114.795 296.4 m 109.819 291.95 L 110.303 284.213 L F 0 g 114.795 296.4 m 109.819 291.95 L 110.303 284.213 L S 1. g 87.7306 222.947 m 92.8238 227.772 L 92.2579 235.246 L F 0 g 87.7306 222.947 m 92.8238 227.772 L 92.2579 235.246 L S 1. g 92.8238 227.772 m 87.7306 222.947 L 88.3138 215.52 L F 0 g 92.8238 227.772 m 87.7306 222.947 L 88.3138 215.52 L S 1. g 105.3 279.694 m 110.303 284.213 L 109.819 291.95 L F 0 g 105.3 279.694 m 110.303 284.213 L 109.819 291.95 L S 1. g 110.303 284.213 m 105.3 279.694 L 105.805 272.004 L F 0 g 110.303 284.213 m 105.3 279.694 L 105.805 272.004 L S 1. g 83.1902 210.626 m 88.3138 215.52 L 87.7306 222.947 L F 0 g 83.1902 210.626 m 88.3138 215.52 L 87.7306 222.947 L S 1. g 88.3138 215.52 m 83.1902 210.626 L 83.795 203.252 L F 0 g 88.3138 215.52 m 83.1902 210.626 L 83.795 203.252 L S 1. g 100.773 267.412 m 105.805 272.004 L 105.3 279.694 L F 0 g 100.773 267.412 m 105.805 272.004 L 105.3 279.694 L S 1. g 105.805 272.004 m 100.773 267.412 L 101.3 259.775 L F 0 g 105.805 272.004 m 100.773 267.412 L 101.3 259.775 L S 1. g 78.6413 198.284 m 83.795 203.252 L 83.1902 210.626 L F 0 g 78.6413 198.284 m 83.795 203.252 L 83.1902 210.626 L S 1. g 118.39 324.302 m 123.332 328.588 L 122.904 336.541 L F 0 g 118.39 324.302 m 123.332 328.588 L 122.904 336.541 L S 1. g 123.332 328.588 m 118.39 324.302 L 118.835 316.397 L F 0 g 123.332 328.588 m 118.39 324.302 L 118.835 316.397 L S 1. g 96.2366 255.109 m 101.3 259.775 L 100.773 267.412 L F 0 g 96.2366 255.109 m 101.3 259.775 L 100.773 267.412 L S 1. g 101.3 259.775 m 96.2366 255.109 L 96.7853 247.519 L F 0 g 101.3 259.775 m 96.2366 255.109 L 96.7853 247.519 L S 1. g 91.692 242.784 m 96.7853 247.519 L 96.2366 255.109 L F 0 g 91.692 242.784 m 96.7853 247.519 L 96.2366 255.109 L S 1. g 96.7853 247.519 m 91.692 242.784 L 92.2579 235.246 L F 0 g 96.7853 247.519 m 91.692 242.784 L 92.2579 235.246 L S 1. g 113.862 312.042 m 118.835 316.397 L 118.39 324.302 L F 0 g 113.862 312.042 m 118.835 316.397 L 118.39 324.302 L S 1. g 118.835 316.397 m 113.862 312.042 L 114.333 304.184 L F 0 g 118.835 316.397 m 113.862 312.042 L 114.333 304.184 L S 1. g 87.1387 230.437 m 92.2579 235.246 L 91.692 242.784 L F 0 g 87.1387 230.437 m 92.2579 235.246 L 91.692 242.784 L S 1. g 92.2579 235.246 m 87.1387 230.437 L 87.7306 222.947 L F 0 g 92.2579 235.246 m 87.1387 230.437 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210.626 L 82.5768 218.069 L F 0 g 78.0106 205.675 m 83.1902 210.626 L 82.5768 218.069 L S 1. g 83.1902 210.626 m 78.0106 205.675 L 78.6413 198.284 L F 0 g 83.1902 210.626 m 78.0106 205.675 L 78.6413 198.284 L S 1. g 95.6837 262.768 m 100.773 267.412 L 100.241 275.124 L F 0 g 95.6837 262.768 m 100.773 267.412 L 100.241 275.124 L S 1. g 100.773 267.412 m 95.6837 262.768 L 96.2366 255.109 L F 0 g 100.773 267.412 m 95.6837 262.768 L 96.2366 255.109 L S 1. g 73.4314 193.264 m 78.6413 198.284 L 78.0106 205.675 L F 0 g 73.4314 193.264 m 78.6413 198.284 L 78.0106 205.675 L S 1. g 117.94 332.277 m 122.904 336.541 L 122.476 344.568 L F 0 g 117.94 332.277 m 122.904 336.541 L 122.476 344.568 L S 1. g 122.904 336.541 m 117.94 332.277 L 118.39 324.302 L F 0 g 122.904 336.541 m 117.94 332.277 L 118.39 324.302 L S 1. g 113.391 319.969 m 118.39 324.302 L 117.94 332.277 L F 0 g 113.391 319.969 m 118.39 324.302 L 117.94 332.277 L S 1. g 118.39 324.302 m 113.391 319.969 L 113.862 312.042 L F 0 g 118.39 324.302 m 113.391 319.969 L 113.862 312.042 L S 1. g 91.1174 250.396 m 96.2366 255.109 L 95.6837 262.768 L F 0 g 91.1174 250.396 m 96.2366 255.109 L 95.6837 262.768 L S 1. g 96.2366 255.109 m 91.1174 250.396 L 91.692 242.784 L F 0 g 96.2366 255.109 m 91.1174 250.396 L 91.692 242.784 L S 1. g 86.5469 237.997 m 91.692 242.784 L 91.1174 250.396 L F 0 g 86.5469 237.997 m 91.692 242.784 L 91.1174 250.396 L S 1. g 91.692 242.784 m 86.5469 237.997 L 87.1387 230.437 L F 0 g 91.692 242.784 m 86.5469 237.997 L 87.1387 230.437 L S 1. g 108.838 307.636 m 113.862 312.042 L 113.391 319.969 L F 0 g 108.838 307.636 m 113.862 312.042 L 113.391 319.969 L S 1. g 113.862 312.042 m 108.838 307.636 L 109.331 299.756 L F 0 g 113.862 312.042 m 108.838 307.636 L 109.331 299.756 L S 1. g 81.9634 225.582 m 87.1387 230.437 L 86.5469 237.997 L F 0 g 81.9634 225.582 m 87.1387 230.437 L 86.5469 237.997 L S 1. g 87.1387 230.437 m 81.9634 225.582 L 82.5768 218.069 L F 0 g 87.1387 230.437 m 81.9634 225.582 L 82.5768 218.069 L S 1. g 104.276 295.281 m 109.331 299.756 L 108.838 307.636 L F 0 g 104.276 295.281 m 109.331 299.756 L 108.838 307.636 L S 1. g 109.331 299.756 m 104.276 295.281 L 104.79 287.448 L F 0 g 109.331 299.756 m 104.276 295.281 L 104.79 287.448 L S 1. g 99.7056 282.9 m 104.79 287.448 L 104.276 295.281 L F 0 g 99.7056 282.9 m 104.79 287.448 L 104.276 295.281 L S 1. g 104.79 287.448 m 99.7056 282.9 L 100.241 275.124 L F 0 g 104.79 287.448 m 99.7056 282.9 L 100.241 275.124 L S 1. g 77.3712 213.136 m 82.5768 218.069 L 81.9634 225.582 L F 0 g 77.3712 213.136 m 82.5768 218.069 L 81.9634 225.582 L S 1. g 82.5768 218.069 m 77.3712 213.136 L 78.0106 205.675 L F 0 g 82.5768 218.069 m 77.3712 213.136 L 78.0106 205.675 L S 1. g 95.1264 270.501 m 100.241 275.124 L 99.7056 282.9 L F 0 g 95.1264 270.501 m 100.241 275.124 L 99.7056 282.9 L S 1. g 100.241 275.124 m 95.1264 270.501 L 95.6837 262.768 L F 0 g 100.241 275.124 m 95.1264 270.501 L 95.6837 262.768 L S 1. g 72.7704 200.673 m 78.0106 205.675 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112.916 327.97 L 113.391 319.969 L S 1. g 108.341 315.585 m 113.391 319.969 L 112.916 327.97 L F 0 g 108.341 315.585 m 113.391 319.969 L 112.916 327.97 L S 1. g 113.391 319.969 m 108.341 315.585 L 108.838 307.636 L F 0 g 113.391 319.969 m 108.341 315.585 L 108.838 307.636 L S 1. g 85.9464 245.631 m 91.1174 250.396 L 90.5429 258.077 L F 0 g 85.9464 245.631 m 91.1174 250.396 L 90.5429 258.077 L S 1. g 91.1174 250.396 m 85.9464 245.631 L 86.5469 237.997 L F 0 g 91.1174 250.396 m 85.9464 245.631 L 86.5469 237.997 L S 1. g 81.3413 233.159 m 86.5469 237.997 L 85.9464 245.631 L F 0 g 81.3413 233.159 m 86.5469 237.997 L 85.9464 245.631 L S 1. g 86.5469 237.997 m 81.3413 233.159 L 81.9634 225.582 L F 0 g 86.5469 237.997 m 81.3413 233.159 L 81.9634 225.582 L S 1. g 103.758 303.182 m 108.838 307.636 L 108.341 315.585 L F 0 g 103.758 303.182 m 108.838 307.636 L 108.341 315.585 L S 1. g 108.838 307.636 m 103.758 303.182 L 104.276 295.281 L F 0 g 108.838 307.636 m 103.758 303.182 L 104.276 295.281 L 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121.604 360.841 L F 0 g 117.024 348.451 m 122.044 352.668 L 121.604 360.841 L S 1. g 122.044 352.668 m 117.024 348.451 L 117.482 340.33 L F 0 g 122.044 352.668 m 117.024 348.451 L 117.482 340.33 L S 1. g 112.437 336.044 m 117.482 340.33 L 117.024 348.451 L F 0 g 112.437 336.044 m 117.482 340.33 L 117.024 348.451 L S 1. g 117.482 340.33 m 112.437 336.044 L 112.916 327.97 L F 0 g 117.482 340.33 m 112.437 336.044 L 112.916 327.97 L S 1. g 89.9554 265.827 m 95.1264 270.501 L 94.5648 278.303 L F 0 g 89.9554 265.827 m 95.1264 270.501 L 94.5648 278.303 L S 1. g 95.1264 270.501 m 89.9554 265.827 L 90.5429 258.077 L F 0 g 95.1264 270.501 m 89.9554 265.827 L 90.5429 258.077 L S 1. g 67.4784 195.614 m 72.7704 200.673 L 72.1051 208.151 L F 0 g 67.4784 195.614 m 72.7704 200.673 L 72.1051 208.151 L S 1. g 72.7704 200.673 m 67.4784 195.614 L 68.1653 188.184 L F 0 g 72.7704 200.673 m 67.4784 195.614 L 68.1653 188.184 L S 1. g 85.3416 253.329 m 90.5429 258.077 L 89.9554 265.827 L F 0 g 85.3416 253.329 m 90.5429 258.077 L 89.9554 265.827 L S 1. g 90.5429 258.077 m 85.3416 253.329 L 85.9464 245.631 L F 0 g 90.5429 258.077 m 85.3416 253.329 L 85.9464 245.631 L S 1. g 62.8387 183.051 m 68.1653 188.184 L 67.4784 195.614 L F 0 g 62.8387 183.051 m 68.1653 188.184 L 67.4784 195.614 L S 1. g 107.84 323.611 m 112.916 327.97 L 112.437 336.044 L F 0 g 107.84 323.611 m 112.916 327.97 L 112.437 336.044 L S 1. g 112.916 327.97 m 107.84 323.611 L 108.341 315.585 L F 0 g 112.916 327.97 m 107.84 323.611 L 108.341 315.585 L S 1. g 103.235 311.157 m 108.341 315.585 L 107.84 323.611 L F 0 g 103.235 311.157 m 108.341 315.585 L 107.84 323.611 L S 1. g 108.341 315.585 m 103.235 311.157 L 103.758 303.182 L F 0 g 108.341 315.585 m 103.235 311.157 L 103.758 303.182 L S 1. g 80.7149 240.81 m 85.9464 245.631 L 85.3416 253.329 L F 0 g 80.7149 240.81 m 85.9464 245.631 L 85.3416 253.329 L S 1. g 85.9464 245.631 m 80.7149 240.81 L 81.3413 233.159 L F 0 g 85.9464 245.631 m 80.7149 240.81 L 81.3413 233.159 L S 1. g 76.0795 228.269 m 81.3413 233.159 L 80.7149 240.81 L F 0 g 76.0795 228.269 m 81.3413 233.159 L 80.7149 240.81 L S 1. g 81.3413 233.159 m 76.0795 228.269 L 76.7275 220.666 L F 0 g 81.3413 233.159 m 76.0795 228.269 L 76.7275 220.666 L S 1. g 98.6213 298.676 m 103.758 303.182 L 103.235 311.157 L F 0 g 98.6213 298.676 m 103.758 303.182 L 103.235 311.157 L S 1. g 103.758 303.182 m 98.6213 298.676 L 99.1656 290.753 L F 0 g 103.758 303.182 m 98.6213 298.676 L 99.1656 290.753 L S 1. g 71.4355 215.702 m 76.7275 220.666 L 76.0795 228.269 L F 0 g 71.4355 215.702 m 76.7275 220.666 L 76.0795 228.269 L S 1. g 76.7275 220.666 m 71.4355 215.702 L 72.1051 208.151 L F 0 g 76.7275 220.666 m 71.4355 215.702 L 72.1051 208.151 L S 1. g 116.562 356.655 m 121.604 360.841 L 121.163 369.088 L F 0 g 116.562 356.655 m 121.604 360.841 L 121.163 369.088 L S 1. g 121.604 360.841 m 116.562 356.655 L 117.024 348.451 L F 0 g 121.604 360.841 m 116.562 356.655 L 117.024 348.451 L S 1. g 93.9989 286.178 m 99.1656 290.753 L 98.6213 298.676 L F 0 g 93.9989 286.178 m 99.1656 290.753 L 98.6213 298.676 L S 1. g 99.1656 290.753 m 93.9989 286.178 L 94.5648 278.303 L F 0 g 99.1656 290.753 m 93.9989 286.178 L 94.5648 278.303 L S 1. g 66.7829 203.109 m 72.1051 208.151 L 71.4355 215.702 L F 0 g 66.7829 203.109 m 72.1051 208.151 L 71.4355 215.702 L S 1. g 72.1051 208.151 m 66.7829 203.109 L 67.4784 195.614 L F 0 g 72.1051 208.151 m 66.7829 203.109 L 67.4784 195.614 L S 1. g 111.953 344.192 m 117.024 348.451 L 116.562 356.655 L F 0 g 111.953 344.192 m 117.024 348.451 L 116.562 356.655 L S 1. g 117.024 348.451 m 111.953 344.192 L 112.437 336.044 L F 0 g 117.024 348.451 m 111.953 344.192 L 112.437 336.044 L S 1. g 89.3678 273.65 m 94.5648 278.303 L 93.9989 286.178 L F 0 g 89.3678 273.65 m 94.5648 278.303 L 93.9989 286.178 L S 1. g 94.5648 278.303 m 89.3678 273.65 L 89.9554 265.827 L F 0 g 94.5648 278.303 m 89.3678 273.65 L 89.9554 265.827 L S 1. g 84.7282 261.105 m 89.9554 265.827 L 89.3678 273.65 L F 0 g 84.7282 261.105 m 89.9554 265.827 L 89.3678 273.65 L S 1. g 89.9554 265.827 m 84.7282 261.105 L 85.3416 253.329 L F 0 g 89.9554 265.827 m 84.7282 261.105 L 85.3416 253.329 L S 1. g 62.1216 190.495 m 67.4784 195.614 L 66.7829 203.109 L F 0 g 62.1216 190.495 m 67.4784 195.614 L 66.7829 203.109 L S 1. g 67.4784 195.614 m 62.1216 190.495 L 62.8387 183.051 L F 0 g 67.4784 195.614 m 62.1216 190.495 L 62.8387 183.051 L S 1. g 107.335 331.711 m 112.437 336.044 L 111.953 344.192 L F 0 g 107.335 331.711 m 112.437 336.044 L 111.953 344.192 L S 1. g 112.437 336.044 m 107.335 331.711 L 107.84 323.611 L F 0 g 112.437 336.044 m 107.335 331.711 L 107.84 323.611 L S 1. g 57.456 177.859 m 62.8387 183.051 L 62.1216 190.495 L F 0 g 57.456 177.859 m 62.8387 183.051 L 62.1216 190.495 L S 1. g 80.0798 248.534 m 85.3416 253.329 L 84.7282 261.105 L F 0 g 80.0798 248.534 m 85.3416 253.329 L 84.7282 261.105 L S 1. g 85.3416 253.329 m 80.0798 248.534 L 80.7149 240.81 L F 0 g 85.3416 253.329 m 80.0798 248.534 L 80.7149 240.81 L S 1. g 102.708 319.205 m 107.84 323.611 L 107.335 331.711 L F 0 g 102.708 319.205 m 107.84 323.611 L 107.335 331.711 L S 1. g 107.84 323.611 m 102.708 319.205 L 103.235 311.157 L F 0 g 107.84 323.611 m 102.708 319.205 L 103.235 311.157 L S 1. g 98.0726 306.677 m 103.235 311.157 L 102.708 319.205 L F 0 g 98.0726 306.677 m 103.235 311.157 L 102.708 319.205 L S 1. g 103.235 311.157 m 98.0726 306.677 L 98.6213 298.676 L F 0 g 103.235 311.157 m 98.0726 306.677 L 98.6213 298.676 L S 1. g 75.4229 235.937 m 80.7149 240.81 L 80.0798 248.534 L F 0 g 75.4229 235.937 m 80.7149 240.81 L 80.0798 248.534 L S 1. g 80.7149 240.81 m 75.4229 235.937 L 76.0795 228.269 L F 0 g 80.7149 240.81 m 75.4229 235.937 L 76.0795 228.269 L S 1. g 70.7573 223.318 m 76.0795 228.269 L 75.4229 235.937 L F 0 g 70.7573 223.318 m 76.0795 228.269 L 75.4229 235.937 L S 1. g 76.0795 228.269 m 70.7573 223.318 L 71.4355 215.702 L F 0 g 76.0795 228.269 m 70.7573 223.318 L 71.4355 215.702 L S 1. g 93.4286 294.123 m 98.6213 298.676 L 98.0726 306.677 L F 0 g 93.4286 294.123 m 98.6213 298.676 L 98.0726 306.677 L S 1. g 98.6213 298.676 m 93.4286 294.123 L 93.9989 286.178 L F 0 g 98.6213 298.676 m 93.4286 294.123 L 93.9989 286.178 L S 1. g 116.096 364.928 m 121.163 369.088 L 120.718 377.417 L F 0 g 116.096 364.928 m 121.163 369.088 L 120.718 377.417 L S 1. g 121.163 369.088 m 116.096 364.928 L 116.562 356.655 L F 0 g 121.163 369.088 m 116.096 364.928 L 116.562 356.655 L S 1. g 66.083 210.678 m 71.4355 215.702 L 70.7573 223.318 L F 0 g 66.083 210.678 m 71.4355 215.702 L 70.7573 223.318 L S 1. g 71.4355 215.702 m 66.083 210.678 L 66.7829 203.109 L F 0 g 71.4355 215.702 m 66.083 210.678 L 66.7829 203.109 L S 1. g 111.465 352.421 m 116.562 356.655 L 116.096 364.928 L F 0 g 111.465 352.421 m 116.562 356.655 L 116.096 364.928 L S 1. g 116.562 356.655 m 111.465 352.421 L 111.953 344.192 L F 0 g 116.562 356.655 m 111.465 352.421 L 111.953 344.192 L S 1. g 88.7717 281.547 m 93.9989 286.178 L 93.4286 294.123 L F 0 g 88.7717 281.547 m 93.9989 286.178 L 93.4286 294.123 L S 1. g 93.9989 286.178 m 88.7717 281.547 L 89.3678 273.65 L F 0 g 93.9989 286.178 m 88.7717 281.547 L 89.3678 273.65 L S 1. g 61.4002 198.012 m 66.7829 203.109 L 66.083 210.678 L F 0 g 61.4002 198.012 m 66.7829 203.109 L 66.083 210.678 L S 1. g 66.7829 203.109 m 61.4002 198.012 L 62.1216 190.495 L F 0 g 66.7829 203.109 m 61.4002 198.012 L 62.1216 190.495 L S 1. g 84.1104 268.95 m 89.3678 273.65 L 88.7717 281.547 L F 0 g 84.1104 268.95 m 89.3678 273.65 L 88.7717 281.547 L S 1. g 89.3678 273.65 m 84.1104 268.95 L 84.7282 261.105 L F 0 g 89.3678 273.65 m 84.1104 268.95 L 84.7282 261.105 L S 1. g 106.825 339.885 m 111.953 344.192 L 111.465 352.421 L F 0 g 106.825 339.885 m 111.953 344.192 L 111.465 352.421 L S 1. g 111.953 344.192 m 106.825 339.885 L 107.335 331.711 L F 0 g 111.953 344.192 m 106.825 339.885 L 107.335 331.711 L S 1. g 79.4405 256.327 m 84.7282 261.105 L 84.1104 268.95 L F 0 g 79.4405 256.327 m 84.7282 261.105 L 84.1104 268.95 L S 1. g 84.7282 261.105 m 79.4405 256.327 L 80.0798 248.534 L F 0 g 84.7282 261.105 m 79.4405 256.327 L 80.0798 248.534 L S 1. g 56.7086 185.324 m 62.1216 190.495 L 61.4002 198.012 L F 0 g 56.7086 185.324 m 62.1216 190.495 L 61.4002 198.012 L S 1. g 62.1216 190.495 m 56.7086 185.324 L 57.456 177.859 L F 0 g 62.1216 190.495 m 56.7086 185.324 L 57.456 177.859 L S 1. g 102.172 327.331 m 107.335 331.711 L 106.825 339.885 L F 0 g 102.172 327.331 m 107.335 331.711 L 106.825 339.885 L S 1. g 107.335 331.711 m 102.172 327.331 L 102.708 319.205 L F 0 g 107.335 331.711 m 102.172 327.331 L 102.708 319.205 L S 1. g 52.0085 172.61 m 57.456 177.859 L 56.7086 185.324 L F 0 g 52.0085 172.61 m 57.456 177.859 L 56.7086 185.324 L S 1. g 74.7619 243.678 m 80.0798 248.534 L 79.4405 256.327 L F 0 g 74.7619 243.678 m 80.0798 248.534 L 79.4405 256.327 L S 1. g 80.0798 248.534 m 74.7619 243.678 L 75.4229 235.937 L F 0 g 80.0798 248.534 m 74.7619 243.678 L 75.4229 235.937 L S 1. g 97.5154 314.751 m 102.708 319.205 L 102.172 327.331 L F 0 g 97.5154 314.751 m 102.708 319.205 L 102.172 327.331 L S 1. g 102.708 319.205 m 97.5154 314.751 L 98.0726 306.677 L F 0 g 102.708 319.205 m 97.5154 314.751 L 98.0726 306.677 L S 1. g 70.0747 231.008 m 75.4229 235.937 L 74.7619 243.678 L F 0 g 70.0747 231.008 m 75.4229 235.937 L 74.7619 243.678 L S 1. g 75.4229 235.937 m 70.0747 231.008 L 70.7573 223.318 L F 0 g 75.4229 235.937 m 70.0747 231.008 L 70.7573 223.318 L S 1. g 92.8498 302.145 m 98.0726 306.677 L 97.5154 314.751 L F 0 g 92.8498 302.145 m 98.0726 306.677 L 97.5154 314.751 L S 1. g 98.0726 306.677 m 92.8498 302.145 L 93.4286 294.123 L F 0 g 98.0726 306.677 m 92.8498 302.145 L 93.4286 294.123 L S 1. g 115.625 373.283 m 120.718 377.417 L 120.269 385.819 L F 0 g 115.625 373.283 m 120.718 377.417 L 120.269 385.819 L S 1. g 120.718 377.417 m 115.625 373.283 L 116.096 364.928 L F 0 g 120.718 377.417 m 115.625 373.283 L 116.096 364.928 L S 1. g 65.3789 218.316 m 70.7573 223.318 L 70.0747 231.008 L F 0 g 65.3789 218.316 m 70.7573 223.318 L 70.0747 231.008 L S 1. g 70.7573 223.318 m 65.3789 218.316 L 66.083 210.678 L F 0 g 70.7573 223.318 m 65.3789 218.316 L 66.083 210.678 L S 1. g 88.1755 289.518 m 93.4286 294.123 L 92.8498 302.145 L F 0 g 88.1755 289.518 m 93.4286 294.123 L 92.8498 302.145 L S 1. g 93.4286 294.123 m 88.1755 289.518 L 88.7717 281.547 L F 0 g 93.4286 294.123 m 88.1755 289.518 L 88.7717 281.547 L S 1. g 110.968 360.724 m 116.096 364.928 L 115.625 373.283 L F 0 g 110.968 360.724 m 116.096 364.928 L 115.625 373.283 L S 1. g 116.096 364.928 m 110.968 360.724 L 111.465 352.421 L F 0 g 116.096 364.928 m 110.968 360.724 L 111.465 352.421 L S 1. g 60.6701 205.597 m 66.083 210.678 L 65.3789 218.316 L F 0 g 60.6701 205.597 m 66.083 210.678 L 65.3789 218.316 L S 1. g 66.083 210.678 m 60.6701 205.597 L 61.4002 198.012 L F 0 g 66.083 210.678 m 60.6701 205.597 L 61.4002 198.012 L S 1. g 106.307 348.14 m 111.465 352.421 L 110.968 360.724 L F 0 g 106.307 348.14 m 111.465 352.421 L 110.968 360.724 L S 1. g 111.465 352.421 m 106.307 348.14 L 106.825 339.885 L F 0 g 111.465 352.421 m 106.307 348.14 L 106.825 339.885 L S 1. g 83.4883 276.869 m 88.7717 281.547 L 88.1755 289.518 L F 0 g 83.4883 276.869 m 88.7717 281.547 L 88.1755 289.518 L S 1. g 88.7717 281.547 m 83.4883 276.869 L 84.1104 268.95 L F 0 g 88.7717 281.547 m 83.4883 276.869 L 84.1104 268.95 L S 1. g 186.602 207.334 m 187.505 200.007 L 199.956 200.634 L F 0 g 186.602 207.334 m 187.505 200.007 L 199.956 200.634 L S 1. g 199.956 200.634 m 200.236 208.017 L 186.602 207.334 L F 0 g 199.956 200.634 m 200.236 208.017 L 186.602 207.334 L S 1. g 199.571 193.164 m 199.956 200.634 L 187.505 200.007 L F 0 g 199.571 193.164 m 199.956 200.634 L 187.505 200.007 L S 1. g 200.236 208.017 m 199.956 200.634 L 212.034 198.759 L F 0 g 200.236 208.017 m 199.956 200.634 L 212.034 198.759 L S 1. g 199.956 200.634 m 199.571 193.164 L 210.185 191.506 L F 0 g 199.956 200.634 m 199.571 193.164 L 210.185 191.506 L S 1. g 210.185 191.506 m 212.034 198.759 L 199.956 200.634 L F 0 g 210.185 191.506 m 212.034 198.759 L 199.956 200.634 L S 1. g 187.505 200.007 m 188.628 192.612 L 199.571 193.164 L F 0 g 187.505 200.007 m 188.628 192.612 L 199.571 193.164 L S 1. g 199.092 185.79 m 199.571 193.164 L 188.628 192.612 L F 0 g 199.092 185.79 m 199.571 193.164 L 188.628 192.612 L S 1. g 199.571 193.164 m 199.092 185.79 L 207.96 184.395 L F 0 g 199.571 193.164 m 199.092 185.79 L 207.96 184.395 L S 1. g 207.96 184.395 m 210.185 191.506 L 199.571 193.164 L F 0 g 207.96 184.395 m 210.185 191.506 L 199.571 193.164 L S 1. g 173.932 204.003 m 175.936 196.94 L 187.505 200.007 L F 0 g 173.932 204.003 m 175.936 196.94 L 187.505 200.007 L S 1. g 187.505 200.007 m 186.602 207.334 L 173.932 204.003 L F 0 g 187.505 200.007 m 186.602 207.334 L 173.932 204.003 L S 1. g 188.628 192.612 m 187.505 200.007 L 175.936 196.94 L F 0 g 188.628 192.612 m 187.505 200.007 L 175.936 196.94 L S 1. g 175.936 196.94 m 178.468 189.894 L 188.628 192.612 L F 0 g 175.936 196.94 m 178.468 189.894 L 188.628 192.612 L S 1. g 189.946 185.324 m 188.628 192.612 L 178.468 189.894 L F 0 g 189.946 185.324 m 188.628 192.612 L 178.468 189.894 L S 1. g 188.628 192.612 m 189.946 185.324 L 199.092 185.79 L F 0 g 188.628 192.612 m 189.946 185.324 L 199.092 185.79 L S 1. g 185.95 214.415 m 186.602 207.334 L 200.236 208.017 L F 0 g 185.95 214.415 m 186.602 207.334 L 200.236 208.017 L S 1. g 200.236 208.017 m 200.409 215.127 L 185.95 214.415 L F 0 g 200.236 208.017 m 200.409 215.127 L 185.95 214.415 L S 1. g 200.409 215.127 m 200.236 208.017 L 213.464 205.982 L F 0 g 200.409 215.127 m 200.236 208.017 L 213.464 205.982 L S 1. g 212.034 198.759 m 213.464 205.982 L 200.236 208.017 L F 0 g 212.034 198.759 m 213.464 205.982 L 200.236 208.017 L S 1. g 55.957 192.858 m 61.4002 198.012 L 60.6701 205.597 L F 0 g 55.957 192.858 m 61.4002 198.012 L 60.6701 205.597 L S 1. g 61.4002 198.012 m 55.957 192.858 L 56.7086 185.324 L F 0 g 61.4002 198.012 m 55.957 192.858 L 56.7086 185.324 L S 1. g 101.637 335.53 m 106.825 339.885 L 106.307 348.14 L F 0 g 101.637 335.53 m 106.825 339.885 L 106.307 348.14 L S 1. g 106.825 339.885 m 101.637 335.53 L 102.172 327.331 L F 0 g 106.825 339.885 m 101.637 335.53 L 102.172 327.331 L S 1. g 78.7968 264.194 m 84.1104 268.95 L 83.4883 276.869 L F 0 g 78.7968 264.194 m 84.1104 268.95 L 83.4883 276.869 L S 1. g 84.1104 268.95 m 78.7968 264.194 L 79.4405 256.327 L F 0 g 84.1104 268.95 m 78.7968 264.194 L 79.4405 256.327 L S 1. g 198.534 178.688 m 199.092 185.79 L 189.946 185.324 L F 0 g 198.534 178.688 m 199.092 185.79 L 189.946 185.324 L S 1. g 199.092 185.79 m 198.534 178.688 L 205.42 177.595 L F 0 g 199.092 185.79 m 198.534 178.688 L 205.42 177.595 L S 1. g 205.42 177.595 m 207.96 184.395 L 199.092 185.79 L F 0 g 205.42 177.595 m 207.96 184.395 L 199.092 185.79 L S 1. g 172.502 210.907 m 173.932 204.003 L 186.602 207.334 L F 0 g 172.502 210.907 m 173.932 204.003 L 186.602 207.334 L S 1. g 186.602 207.334 m 185.95 214.415 L 172.502 210.907 L F 0 g 186.602 207.334 m 185.95 214.415 L 172.502 210.907 L S 1. g 74.0966 251.493 m 79.4405 256.327 L 78.7968 264.194 L F 0 g 74.0966 251.493 m 79.4405 256.327 L 78.7968 264.194 L S 1. g 79.4405 256.327 m 74.0966 251.493 L 74.7619 243.678 L F 0 g 79.4405 256.327 m 74.0966 251.493 L 74.7619 243.678 L S 1. g 51.2352 180.088 m 56.7086 185.324 L 55.957 192.858 L F 0 g 51.2352 180.088 m 56.7086 185.324 L 55.957 192.858 L S 1. g 56.7086 185.324 m 51.2352 180.088 L 52.0085 172.61 L F 0 g 56.7086 185.324 m 51.2352 180.088 L 52.0085 172.61 L S 1. g 96.9538 322.898 m 102.172 327.331 L 101.637 335.53 L F 0 g 96.9538 322.898 m 102.172 327.331 L 101.637 335.53 L S 1. g 102.172 327.331 m 96.9538 322.898 L 97.5154 314.751 L F 0 g 102.172 327.331 m 96.9538 322.898 L 97.5154 314.751 L S 1. g 178.468 189.894 m 181.466 183.038 L 189.946 185.324 L F 0 g 178.468 189.894 m 181.466 183.038 L 189.946 185.324 L S 1. g 191.432 178.325 m 189.946 185.324 L 181.466 183.038 L F 0 g 191.432 178.325 m 189.946 185.324 L 181.466 183.038 L S 1. g 189.946 185.324 m 191.432 178.325 L 198.534 178.688 L F 0 g 189.946 185.324 m 191.432 178.325 L 198.534 178.688 L S 1. g 212.034 198.759 m 210.185 191.506 L 219.387 187.79 L F 0 g 212.034 198.759 m 210.185 191.506 L 219.387 187.79 L S 1. g 210.185 191.506 m 207.96 184.395 L 215.641 181.267 L F 0 g 210.185 191.506 m 207.96 184.395 L 215.641 181.267 L S 1. g 215.641 181.267 m 219.387 187.79 L 210.185 191.506 L F 0 g 215.641 181.267 m 219.387 187.79 L 210.185 191.506 L S 1. g 213.464 205.982 m 212.034 198.759 L 222.523 194.564 L F 0 g 213.464 205.982 m 212.034 198.759 L 222.523 194.564 L S 1. g 219.387 187.79 m 222.523 194.564 L 212.034 198.759 L F 0 g 219.387 187.79 m 222.523 194.564 L 212.034 198.759 L S 1. g 185.561 221.067 m 185.95 214.415 L 200.409 215.127 L F 0 g 185.561 221.067 m 185.95 214.415 L 200.409 215.127 L S 1. g 200.409 215.127 m 200.465 221.802 L 185.561 221.067 L F 0 g 200.409 215.127 m 200.465 221.802 L 185.561 221.067 L S 1. g 200.465 221.802 m 200.409 215.127 L 214.44 212.989 L F 0 g 200.465 221.802 m 200.409 215.127 L 214.44 212.989 L S 1. g 213.464 205.982 m 214.44 212.989 L 200.409 215.127 L F 0 g 213.464 205.982 m 214.44 212.989 L 200.409 215.127 L S 1. g 46.5005 167.301 m 52.0085 172.61 L 51.2352 180.088 L F 0 g 46.5005 167.301 m 52.0085 172.61 L 51.2352 180.088 L S 1. g 69.3835 238.771 m 74.7619 243.678 L 74.0966 251.493 L F 0 g 69.3835 238.771 m 74.7619 243.678 L 74.0966 251.493 L S 1. g 74.7619 243.678 m 69.3835 238.771 L 70.0747 231.008 L F 0 g 74.7619 243.678 m 69.3835 238.771 L 70.0747 231.008 L S 1. g 92.2666 310.245 m 97.5154 314.751 L 96.9538 322.898 L F 0 g 92.2666 310.245 m 97.5154 314.751 L 96.9538 322.898 L S 1. g 97.5154 314.751 m 92.2666 310.245 L 92.8498 302.145 L F 0 g 97.5154 314.751 m 92.2666 310.245 L 92.8498 302.145 L S 1. g 115.15 381.715 m 120.269 385.819 L 119.815 394.304 L F 0 g 115.15 381.715 m 120.269 385.819 L 119.815 394.304 L S 1. g 120.269 385.819 m 115.15 381.715 L 115.625 373.283 L F 0 g 120.269 385.819 m 115.15 381.715 L 115.625 373.283 L S 1. g 207.96 184.395 m 205.42 177.595 L 211.369 175.154 L F 0 g 207.96 184.395 m 205.42 177.595 L 211.369 175.154 L S 1. g 211.369 175.154 m 215.641 181.267 L 207.96 184.395 L F 0 g 211.369 175.154 m 215.641 181.267 L 207.96 184.395 L S 1. g 214.44 212.989 m 213.464 205.982 L 224.96 201.416 L F 0 g 214.44 212.989 m 213.464 205.982 L 224.96 201.416 L S 1. g 222.523 194.564 m 224.96 201.416 L 213.464 205.982 L F 0 g 222.523 194.564 m 224.96 201.416 L 213.464 205.982 L S 1. g 171.694 217.482 m 172.502 210.907 L 185.95 214.415 L F 0 g 171.694 217.482 m 172.502 210.907 L 185.95 214.415 L S 1. g 185.95 214.415 m 185.561 221.067 L 171.694 217.482 L F 0 g 185.95 214.415 m 185.561 221.067 L 171.694 217.482 L S 1. g 197.908 172.04 m 198.534 178.688 L 191.432 178.325 L F 0 g 197.908 172.04 m 198.534 178.688 L 191.432 178.325 L S 1. g 198.534 178.688 m 197.908 172.04 L 202.617 171.284 L F 0 g 198.534 178.688 m 197.908 172.04 L 202.617 171.284 L S 1. g 202.617 171.284 m 205.42 177.595 L 198.534 178.688 L F 0 g 202.617 171.284 m 205.42 177.595 L 198.534 178.688 L S 1. g 64.6661 226.027 m 70.0747 231.008 L 69.3835 238.771 L F 0 g 64.6661 226.027 m 70.0747 231.008 L 69.3835 238.771 L S 1. g 70.0747 231.008 m 64.6661 226.027 L 65.3789 218.316 L F 0 g 70.0747 231.008 m 64.6661 226.027 L 65.3789 218.316 L S 1. g 87.5664 297.566 m 92.8498 302.145 L 92.2666 310.245 L F 0 g 87.5664 297.566 m 92.8498 302.145 L 92.2666 310.245 L S 1. g 92.8498 302.145 m 87.5664 297.566 L 88.1755 289.518 L F 0 g 92.8498 302.145 m 87.5664 297.566 L 88.1755 289.518 L S 1. g 110.471 369.105 m 115.625 373.283 L 115.15 381.715 L F 0 g 110.471 369.105 m 115.625 373.283 L 115.15 381.715 L S 1. g 115.625 373.283 m 110.471 369.105 L 110.968 360.724 L F 0 g 115.625 373.283 m 110.471 369.105 L 110.968 360.724 L S 1. g 166.432 191.722 m 170.139 185.276 L 178.468 189.894 L F 0 g 166.432 191.722 m 170.139 185.276 L 178.468 189.894 L S 1. g 178.468 189.894 m 175.936 196.94 L 166.432 191.722 L F 0 g 178.468 189.894 m 175.936 196.94 L 166.432 191.722 L S 1. g 181.466 183.038 m 178.468 189.894 L 170.139 185.276 L F 0 g 181.466 183.038 m 178.468 189.894 L 170.139 185.276 L S 1. g 181.466 183.038 m 184.853 176.537 L 191.432 178.325 L F 0 g 181.466 183.038 m 184.853 176.537 L 191.432 178.325 L S 1. g 193.048 171.785 m 191.432 178.325 L 184.853 176.537 L F 0 g 193.048 171.785 m 191.432 178.325 L 184.853 176.537 L S 1. g 191.432 178.325 m 193.048 171.785 L 197.908 172.04 L F 0 g 191.432 178.325 m 193.048 171.785 L 197.908 172.04 L S 1. g 163.503 198.327 m 166.432 191.722 L 175.936 196.94 L F 0 g 163.503 198.327 m 166.432 191.722 L 175.936 196.94 L S 1. g 175.936 196.94 m 173.932 204.003 L 163.503 198.327 L F 0 g 175.936 196.94 m 173.932 204.003 L 163.503 198.327 L S 1. g 170.139 185.276 m 174.524 179.155 L 181.466 183.038 L F 0 g 170.139 185.276 m 174.524 179.155 L 181.466 183.038 L S 1. g 184.853 176.537 m 181.466 183.038 L 174.524 179.155 L F 0 g 184.853 176.537 m 181.466 183.038 L 174.524 179.155 L S 1. g 59.9357 213.257 m 65.3789 218.316 L 64.6661 226.027 L F 0 g 59.9357 213.257 m 65.3789 218.316 L 64.6661 226.027 L S 1. g 65.3789 218.316 m 59.9357 213.257 L 60.6701 205.597 L F 0 g 65.3789 218.316 m 59.9357 213.257 L 60.6701 205.597 L S 1. g 82.8619 284.861 m 88.1755 289.518 L 87.5664 297.566 L F 0 g 82.8619 284.861 m 88.1755 289.518 L 87.5664 297.566 L S 1. g 88.1755 289.518 m 82.8619 284.861 L 83.4883 276.869 L F 0 g 88.1755 289.518 m 82.8619 284.861 L 83.4883 276.869 L S 1. g 105.788 356.469 m 110.968 360.724 L 110.471 369.105 L F 0 g 105.788 356.469 m 110.968 360.724 L 110.471 369.105 L S 1. g 110.968 360.724 m 105.788 356.469 L 106.307 348.14 L F 0 g 110.968 360.724 m 105.788 356.469 L 106.307 348.14 L S 1. g 205.42 177.595 m 202.617 171.284 L 206.677 169.603 L F 0 g 205.42 177.595 m 202.617 171.284 L 206.677 169.603 L S 1. g 206.677 169.603 m 211.369 175.154 L 205.42 177.595 L F 0 g 206.677 169.603 m 211.369 175.154 L 205.42 177.595 L S 1. g 214.44 212.989 m 214.933 219.607 L 200.465 221.802 L F 0 g 214.44 212.989 m 214.933 219.607 L 200.465 221.802 L S 1. g 214.933 219.607 m 214.44 212.989 L 226.64 208.185 L F 0 g 214.933 219.607 m 214.44 212.989 L 226.64 208.185 L S 1. g 224.96 201.416 m 226.64 208.185 L 214.44 212.989 L F 0 g 224.96 201.416 m 226.64 208.185 L 214.44 212.989 L S 1. g 161.43 204.932 m 163.503 198.327 L 173.932 204.003 L F 0 g 161.43 204.932 m 163.503 198.327 L 173.932 204.003 L S 1. g 173.932 204.003 m 172.502 210.907 L 161.43 204.932 L F 0 g 173.932 204.003 m 172.502 210.907 L 161.43 204.932 L S 1. g 185.445 227.133 m 185.561 221.067 L 200.465 221.802 L F 0 g 185.445 227.133 m 185.561 221.067 L 200.465 221.802 L S 1. g 200.465 221.802 m 200.405 227.863 L 185.445 227.133 L F 0 g 200.465 221.802 m 200.405 227.863 L 185.445 227.133 L S 1. g 200.405 227.863 m 200.465 221.802 L 214.933 219.607 L F 0 g 200.405 227.863 m 200.465 221.802 L 214.933 219.607 L S 1. g 55.1966 200.461 m 60.6701 205.597 L 59.9357 213.257 L F 0 g 55.1966 200.461 m 60.6701 205.597 L 59.9357 213.257 L S 1. g 60.6701 205.597 m 55.1966 200.461 L 55.957 192.858 L F 0 g 60.6701 205.597 m 55.1966 200.461 L 55.957 192.858 L S 1. g 101.092 343.807 m 106.307 348.14 L 105.788 356.469 L F 0 g 101.092 343.807 m 106.307 348.14 L 105.788 356.469 L S 1. g 106.307 348.14 m 101.092 343.807 L 101.637 335.53 L F 0 g 106.307 348.14 m 101.092 343.807 L 101.637 335.53 L S 1. g 78.1445 272.134 m 83.4883 276.869 L 82.8619 284.861 L F 0 g 78.1445 272.134 m 83.4883 276.869 L 82.8619 284.861 L S 1. g 83.4883 276.869 m 78.1445 272.134 L 78.7968 264.194 L F 0 g 83.4883 276.869 m 78.1445 272.134 L 78.7968 264.194 L S 1. g 174.524 179.155 m 179.483 173.504 L 184.853 176.537 L F 0 g 174.524 179.155 m 179.483 173.504 L 184.853 176.537 L S 1. g 188.546 170.554 m 184.853 176.537 L 179.483 173.504 L F 0 g 188.546 170.554 m 184.853 176.537 L 179.483 173.504 L S 1. g 184.853 176.537 m 188.546 170.554 L 193.048 171.785 L F 0 g 184.853 176.537 m 188.546 170.554 L 193.048 171.785 L S 1. g 222.523 194.564 m 219.387 187.79 L 226.212 182.377 L F 0 g 222.523 194.564 m 219.387 187.79 L 226.212 182.377 L S 1. g 219.387 187.79 m 215.641 181.267 L 221.314 176.718 L F 0 g 219.387 187.79 m 215.641 181.267 L 221.314 176.718 L S 1. g 221.314 176.718 m 226.212 182.377 L 219.387 187.79 L F 0 g 221.314 176.718 m 226.212 182.377 L 219.387 187.79 L S 1. g 215.641 181.267 m 211.369 175.154 L 215.749 171.608 L F 0 g 215.641 181.267 m 211.369 175.154 L 215.749 171.608 L S 1. g 215.749 171.608 m 221.314 176.718 L 215.641 181.267 L F 0 g 215.749 171.608 m 221.314 176.718 L 215.641 181.267 L S 1. g 171.526 223.556 m 171.694 217.482 L 185.561 221.067 L F 0 g 171.526 223.556 m 171.694 217.482 L 185.561 221.067 L S 1. g 185.561 221.067 m 185.445 227.133 L 171.526 223.556 L F 0 g 185.561 221.067 m 185.445 227.133 L 171.526 223.556 L S 1. g 50.4533 187.644 m 55.957 192.858 L 55.1966 200.461 L F 0 g 50.4533 187.644 m 55.957 192.858 L 55.1966 200.461 L S 1. g 55.957 192.858 m 50.4533 187.644 L 51.2352 180.088 L F 0 g 55.957 192.858 m 50.4533 187.644 L 51.2352 180.088 L S 1. g 96.3878 331.128 m 101.637 335.53 L 101.092 343.807 L F 0 g 96.3878 331.128 m 101.637 335.53 L 101.092 343.807 L S 1. g 101.637 335.53 m 96.3878 331.128 L 96.9538 322.898 L F 0 g 101.637 335.53 m 96.3878 331.128 L 96.9538 322.898 L S 1. g 73.4184 259.386 m 78.7968 264.194 L 78.1445 272.134 L F 0 g 73.4184 259.386 m 78.7968 264.194 L 78.1445 272.134 L S 1. g 78.7968 264.194 m 73.4184 259.386 L 74.0966 251.493 L F 0 g 78.7968 264.194 m 73.4184 259.386 L 74.0966 251.493 L S 1. g 197.225 166.005 m 197.908 172.04 L 193.048 171.785 L F 0 g 197.225 166.005 m 197.908 172.04 L 193.048 171.785 L S 1. g 197.908 172.04 m 197.225 166.005 L 199.619 165.62 L F 0 g 197.908 172.04 m 197.225 166.005 L 199.619 165.62 L S 1. g 199.619 165.62 m 202.617 171.284 L 197.908 172.04 L F 0 g 199.619 165.62 m 202.617 171.284 L 197.908 172.04 L S 1. g 224.96 201.416 m 222.523 194.564 L 230.321 188.438 L F 0 g 224.96 201.416 m 222.523 194.564 L 230.321 188.438 L S 1. g 226.212 182.377 m 230.321 188.438 L 222.523 194.564 L F 0 g 226.212 182.377 m 230.321 188.438 L 222.523 194.564 L S 1. g 194.75 165.875 m 193.048 171.785 L 188.546 170.554 L F 0 g 194.75 165.875 m 193.048 171.785 L 188.546 170.554 L S 1. g 193.048 171.785 m 194.75 165.875 L 197.225 166.005 L F 0 g 193.048 171.785 m 194.75 165.875 L 197.225 166.005 L S 1. g 211.369 175.154 m 206.677 169.603 L 209.654 167.167 L F 0 g 211.369 175.154 m 206.677 169.603 L 209.654 167.167 L S 1. g 209.654 167.167 m 215.749 171.608 L 211.369 175.154 L F 0 g 209.654 167.167 m 215.749 171.608 L 211.369 175.154 L S 1. g 160.268 211.36 m 161.43 204.932 L 172.502 210.907 L F 0 g 160.268 211.36 m 161.43 204.932 L 172.502 210.907 L S 1. g 172.502 210.907 m 171.694 217.482 L 160.268 211.36 L F 0 g 172.502 210.907 m 171.694 217.482 L 160.268 211.36 L S 1. g 202.617 171.284 m 199.619 165.62 L 201.679 164.76 L F 0 g 202.617 171.284 m 199.619 165.62 L 201.679 164.76 L S 1. g 201.679 164.76 m 206.677 169.603 L 202.617 171.284 L F 0 g 201.679 164.76 m 206.677 169.603 L 202.617 171.284 L S 1. g 68.688 246.607 m 74.0966 251.493 L 73.4184 259.386 L F 0 g 68.688 246.607 m 74.0966 251.493 L 73.4184 259.386 L S 1. g 74.0966 251.493 m 68.688 246.607 L 69.3835 238.771 L F 0 g 74.0966 251.493 m 68.688 246.607 L 69.3835 238.771 L S 1. g 45.697 174.8 m 51.2352 180.088 L 50.4533 187.644 L F 0 g 45.697 174.8 m 51.2352 180.088 L 50.4533 187.644 L S 1. g 51.2352 180.088 m 45.697 174.8 L 46.5005 167.301 L F 0 g 51.2352 180.088 m 45.697 174.8 L 46.5005 167.301 L S 1. g 119.815 394.304 m 114.666 390.23 L 115.15 381.715 L F 0 g 119.815 394.304 m 114.666 390.23 L 115.15 381.715 L S 1. g 91.679 318.419 m 96.9538 322.898 L 96.3878 331.128 L F 0 g 91.679 318.419 m 96.9538 322.898 L 96.3878 331.128 L S 1. g 96.9538 322.898 m 91.679 318.419 L 92.2666 310.245 L F 0 g 96.9538 322.898 m 91.679 318.419 L 92.2666 310.245 L S 1. g 214.933 219.607 m 214.924 225.677 L 200.405 227.863 L F 0 g 214.933 219.607 m 214.924 225.677 L 200.405 227.863 L S 1. g 214.924 225.677 m 214.933 219.607 L 227.517 214.691 L F 0 g 214.924 225.677 m 214.933 219.607 L 227.517 214.691 L S 1. g 226.64 208.185 m 227.517 214.691 L 214.933 219.607 L F 0 g 226.64 208.185 m 227.517 214.691 L 214.933 219.607 L S 1. g 226.64 208.185 m 224.96 201.416 L 233.526 194.754 L F 0 g 226.64 208.185 m 224.96 201.416 L 233.526 194.754 L S 1. g 230.321 188.438 m 233.526 194.754 L 224.96 201.416 L F 0 g 230.321 188.438 m 233.526 194.754 L 224.96 201.416 L S 1. g 179.483 173.504 m 184.887 168.471 L 188.546 170.554 L F 0 g 179.483 173.504 m 184.887 168.471 L 188.546 170.554 L S 1. g 192.465 165.244 m 188.546 170.554 L 184.887 168.471 L F 0 g 192.465 165.244 m 188.546 170.554 L 184.887 168.471 L S 1. g 188.546 170.554 m 192.465 165.244 L 194.75 165.875 L F 0 g 188.546 170.554 m 192.465 165.244 L 194.75 165.875 L S 1. g 40.932 161.931 m 46.5005 167.301 L 45.697 174.8 L F 0 g 40.932 161.931 m 46.5005 167.301 L 45.697 174.8 L S 1. g 63.9446 233.807 m 69.3835 238.771 L 68.688 246.607 L F 0 g 63.9446 233.807 m 69.3835 238.771 L 68.688 246.607 L S 1. g 69.3835 238.771 m 63.9446 233.807 L 64.6661 226.027 L F 0 g 69.3835 238.771 m 63.9446 233.807 L 64.6661 226.027 L S 1. g 86.9573 305.688 m 92.2666 310.245 L 91.679 318.419 L F 0 g 86.9573 305.688 m 92.2666 310.245 L 91.679 318.419 L S 1. g 92.2666 310.245 m 86.9573 305.688 L 87.5664 297.566 L F 0 g 92.2666 310.245 m 86.9573 305.688 L 87.5664 297.566 L S 1. g 109.97 377.564 m 115.15 381.715 L 114.666 390.23 L F 0 g 109.97 377.564 m 115.15 381.715 L 114.666 390.23 L S 1. g 115.15 381.715 m 109.97 377.564 L 110.471 369.105 L F 0 g 115.15 381.715 m 109.97 377.564 L 110.471 369.105 L S 1. g 164.532 179.211 m 169.875 174.061 L 174.524 179.155 L F 0 g 164.532 179.211 m 169.875 174.061 L 174.524 179.155 L S 1. g 174.524 179.155 m 170.139 185.276 L 164.532 179.211 L F 0 g 174.524 179.155 m 170.139 185.276 L 164.532 179.211 L S 1. g 179.483 173.504 m 174.524 179.155 L 169.875 174.061 L F 0 g 179.483 173.504 m 174.524 179.155 L 169.875 174.061 L S 1. g 160.017 184.853 m 164.532 179.211 L 170.139 185.276 L F 0 g 160.017 184.853 m 164.532 179.211 L 170.139 185.276 L S 1. g 170.139 185.276 m 166.432 191.722 L 160.017 184.853 L F 0 g 170.139 185.276 m 166.432 191.722 L 160.017 184.853 L S 1. g 169.875 174.061 m 175.902 169.538 L 179.483 173.504 L F 0 g 169.875 174.061 m 175.902 169.538 L 179.483 173.504 L S 1. g 184.887 168.471 m 179.483 173.504 L 175.902 169.538 L F 0 g 184.887 168.471 m 179.483 173.504 L 175.902 169.538 L S 1. g 185.609 232.446 m 185.445 227.133 L 200.405 227.863 L F 0 g 185.609 232.446 m 185.445 227.133 L 200.405 227.863 L S 1. g 200.405 227.863 m 200.228 233.15 L 185.609 232.446 L F 0 g 200.405 227.863 m 200.228 233.15 L 185.609 232.446 L S 1. g 200.228 233.15 m 200.405 227.863 L 214.924 225.677 L F 0 g 200.228 233.15 m 200.405 227.863 L 214.924 225.677 L S 1. g 206.677 169.603 m 201.679 164.76 L 203.187 163.516 L F 0 g 206.677 169.603 m 201.679 164.76 L 203.187 163.516 L S 1. g 203.187 163.516 m 209.654 167.167 L 206.677 169.603 L F 0 g 203.187 163.516 m 209.654 167.167 L 206.677 169.603 L S 1. g 59.1926 220.985 m 64.6661 226.027 L 63.9446 233.807 L F 0 g 59.1926 220.985 m 64.6661 226.027 L 63.9446 233.807 L S 1. g 64.6661 226.027 m 59.1926 220.985 L 59.9357 213.257 L F 0 g 64.6661 226.027 m 59.1926 220.985 L 59.9357 213.257 L S 1. g 82.2269 292.931 m 87.5664 297.566 L 86.9573 305.688 L F 0 g 82.2269 292.931 m 87.5664 297.566 L 86.9573 305.688 L S 1. g 87.5664 297.566 m 82.2269 292.931 L 82.8619 284.861 L F 0 g 87.5664 297.566 m 82.2269 292.931 L 82.8619 284.861 L S 1. g 105.261 364.876 m 110.471 369.105 L 109.97 377.564 L F 0 g 105.261 364.876 m 110.471 369.105 L 109.97 377.564 L S 1. g 110.471 369.105 m 105.261 364.876 L 105.788 356.469 L F 0 g 110.471 369.105 m 105.261 364.876 L 105.788 356.469 L S 1. g 156.444 190.849 m 160.017 184.853 L 166.432 191.722 L F 0 g 156.444 190.849 m 160.017 184.853 L 166.432 191.722 L S 1. g 166.432 191.722 m 163.503 198.327 L 156.444 190.849 L F 0 g 166.432 191.722 m 163.503 198.327 L 156.444 190.849 L S 1. g 172.014 228.969 m 171.526 223.556 L 185.445 227.133 L F 0 g 172.014 228.969 m 171.526 223.556 L 185.445 227.133 L S 1. g 185.445 227.133 m 185.609 232.446 L 172.014 228.969 L F 0 g 185.445 227.133 m 185.609 232.446 L 172.014 228.969 L S 1. g 54.432 208.138 m 59.9357 213.257 L 59.1926 220.985 L F 0 g 54.432 208.138 m 59.9357 213.257 L 59.1926 220.985 L S 1. g 59.9357 213.257 m 54.432 208.138 L 55.1966 200.461 L F 0 g 59.9357 213.257 m 54.432 208.138 L 55.1966 200.461 L S 1. g 77.4878 280.152 m 82.8619 284.861 L 82.2269 292.931 L F 0 g 77.4878 280.152 m 82.8619 284.861 L 82.2269 292.931 L S 1. g 82.8619 284.861 m 77.4878 280.152 L 78.1445 272.134 L F 0 g 82.8619 284.861 m 77.4878 280.152 L 78.1445 272.134 L S 1. g 100.544 352.166 m 105.788 356.469 L 105.261 364.876 L F 0 g 100.544 352.166 m 105.788 356.469 L 105.261 364.876 L S 1. g 105.788 356.469 m 100.544 352.166 L 101.092 343.807 L F 0 g 105.788 356.469 m 100.544 352.166 L 101.092 343.807 L S 1. g 160.056 217.456 m 160.268 211.36 L 171.694 217.482 L F 0 g 160.056 217.456 m 160.268 211.36 L 171.694 217.482 L S 1. g 171.694 217.482 m 171.526 223.556 L 160.056 217.456 L F 0 g 171.694 217.482 m 171.526 223.556 L 160.056 217.456 L S 1. g 227.517 214.691 m 226.64 208.185 L 235.747 201.165 L F 0 g 227.517 214.691 m 226.64 208.185 L 235.747 201.165 L S 1. g 233.526 194.754 m 235.747 201.165 L 226.64 208.185 L F 0 g 233.526 194.754 m 235.747 201.165 L 226.64 208.185 L S 1. g 175.902 169.538 m 182.46 165.75 L 184.887 168.471 L F 0 g 175.902 169.538 m 182.46 165.75 L 184.887 168.471 L S 1. g 190.611 164.182 m 184.887 168.471 L 182.46 165.75 L F 0 g 190.611 164.182 m 184.887 168.471 L 182.46 165.75 L S 1. g 184.887 168.471 m 190.611 164.182 L 192.465 165.244 L F 0 g 184.887 168.471 m 190.611 164.182 L 192.465 165.244 L S 1. g 196.504 160.747 m 197.225 166.005 L 194.75 165.875 L 196.504 160.747 L F 0 g 196.504 160.747 m 197.225 166.005 L 194.75 165.875 L 196.504 160.747 L S 1. g 196.504 160.747 m 199.619 165.62 L 197.225 166.005 L 196.504 160.747 L F 0 g 196.504 160.747 m 199.619 165.62 L 197.225 166.005 L 196.504 160.747 L S 1. g 196.504 160.747 m 194.75 165.875 L 192.465 165.244 L 196.504 160.747 L F 0 g 196.504 160.747 m 194.75 165.875 L 192.465 165.244 L 196.504 160.747 L S 1. g 196.504 160.747 m 201.679 164.76 L 199.619 165.62 L 196.504 160.747 L F 0 g 196.504 160.747 m 201.679 164.76 L 199.619 165.62 L 196.504 160.747 L S 1. g 221.314 176.718 m 215.749 171.608 L 218.082 167.318 L F 0 g 221.314 176.718 m 215.749 171.608 L 218.082 167.318 L S 1. g 215.749 171.608 m 209.654 167.167 L 211.226 164.233 L F 0 g 215.749 171.608 m 209.654 167.167 L 211.226 164.233 L S 1. g 211.226 164.233 m 218.082 167.318 L 215.749 171.608 L F 0 g 211.226 164.233 m 218.082 167.318 L 215.749 171.608 L S 1. g 226.212 182.377 m 221.314 176.718 L 224.359 171.21 L F 0 g 226.212 182.377 m 221.314 176.718 L 224.359 171.21 L S 1. g 218.082 167.318 m 224.359 171.21 L 221.314 176.718 L F 0 g 218.082 167.318 m 224.359 171.21 L 221.314 176.718 L S 1. g 49.6627 195.264 m 55.1966 200.461 L 54.432 208.138 L F 0 g 49.6627 195.264 m 55.1966 200.461 L 54.432 208.138 L S 1. g 55.1966 200.461 m 49.6627 195.264 L 50.4533 187.644 L F 0 g 55.1966 200.461 m 49.6627 195.264 L 50.4533 187.644 L S 1. g 72.7402 267.348 m 78.1445 272.134 L 77.4878 280.152 L F 0 g 72.7402 267.348 m 78.1445 272.134 L 77.4878 280.152 L S 1. g 78.1445 272.134 m 72.7402 267.348 L 73.4184 259.386 L F 0 g 78.1445 272.134 m 72.7402 267.348 L 73.4184 259.386 L S 1. g 95.8176 339.431 m 101.092 343.807 L 100.544 352.166 L F 0 g 95.8176 339.431 m 101.092 343.807 L 100.544 352.166 L S 1. g 101.092 343.807 m 95.8176 339.431 L 96.3878 331.128 L F 0 g 101.092 343.807 m 95.8176 339.431 L 96.3878 331.128 L S 1. g 196.504 160.747 m 192.465 165.244 L 190.611 164.182 L 196.504 160.747 L F 0 g 196.504 160.747 m 192.465 165.244 L 190.611 164.182 L 196.504 160.747 L S 1. g 153.913 197.048 m 156.444 190.849 L 163.503 198.327 L F 0 g 153.913 197.048 m 156.444 190.849 L 163.503 198.327 L S 1. g 163.503 198.327 m 161.43 204.932 L 153.913 197.048 L F 0 g 163.503 198.327 m 161.43 204.932 L 153.913 197.048 L S 1. g 214.924 225.677 m 214.415 231.029 L 200.228 233.15 L F 0 g 214.924 225.677 m 214.415 231.029 L 200.228 233.15 L S 1. g 214.415 231.029 m 214.924 225.677 L 227.556 220.774 L F 0 g 214.415 231.029 m 214.924 225.677 L 227.556 220.774 L S 1. g 227.517 214.691 m 227.556 220.774 L 214.924 225.677 L F 0 g 227.517 214.691 m 227.556 220.774 L 214.924 225.677 L S 1. g 209.654 167.167 m 203.187 163.516 L 203.973 162.022 L F 0 g 209.654 167.167 m 203.187 163.516 L 203.973 162.022 L S 1. g 203.973 162.022 m 211.226 164.233 L 209.654 167.167 L F 0 g 203.973 162.022 m 211.226 164.233 L 209.654 167.167 L S 1. g 230.321 188.438 m 226.212 182.377 L 229.906 175.807 L F 0 g 230.321 188.438 m 226.212 182.377 L 229.906 175.807 L S 1. g 224.359 171.21 m 229.906 175.807 L 226.212 182.377 L F 0 g 224.359 171.21 m 229.906 175.807 L 226.212 182.377 L S 1. g 196.504 160.747 m 203.187 163.516 L 201.679 164.76 L 196.504 160.747 L F 0 g 196.504 160.747 m 203.187 163.516 L 201.679 164.76 L 196.504 160.747 L S 1. g 44.8848 182.369 m 50.4533 187.644 L 49.6627 195.264 L F 0 g 44.8848 182.369 m 50.4533 187.644 L 49.6627 195.264 L S 1. g 50.4533 187.644 m 44.8848 182.369 L 45.697 174.8 L F 0 g 50.4533 187.644 m 44.8848 182.369 L 45.697 174.8 L S 1. g 91.0829 326.67 m 96.3878 331.128 L 95.8176 339.431 L F 0 g 91.0829 326.67 m 96.3878 331.128 L 95.8176 339.431 L S 1. g 96.3878 331.128 m 91.0829 326.67 L 91.679 318.419 L F 0 g 96.3878 331.128 m 91.0829 326.67 L 91.679 318.419 L S 1. g 67.9838 254.517 m 73.4184 259.386 L 72.7402 267.348 L F 0 g 67.9838 254.517 m 73.4184 259.386 L 72.7402 267.348 L S 1. g 73.4184 259.386 m 67.9838 254.517 L 68.688 246.607 L F 0 g 73.4184 259.386 m 67.9838 254.517 L 68.688 246.607 L S 1. g 182.46 165.75 m 189.389 162.795 L 190.611 164.182 L F 0 g 182.46 165.75 m 189.389 162.795 L 190.611 164.182 L S 1. g 196.504 160.747 m 190.611 164.182 L 189.389 162.795 L 196.504 160.747 L F 0 g 196.504 160.747 m 190.611 164.182 L 189.389 162.795 L 196.504 160.747 L S 1. g 63.2189 241.665 m 68.688 246.607 L 67.9838 254.517 L F 0 g 63.2189 241.665 m 68.688 246.607 L 67.9838 254.517 L S 1. g 68.688 246.607 m 63.2189 241.665 L 63.9446 233.807 L F 0 g 68.688 246.607 m 63.2189 241.665 L 63.9446 233.807 L S 1. g 40.0939 169.448 m 45.697 174.8 L 44.8848 182.369 L F 0 g 40.0939 169.448 m 45.697 174.8 L 44.8848 182.369 L S 1. g 45.697 174.8 m 40.0939 169.448 L 40.932 161.931 L F 0 g 45.697 174.8 m 40.0939 169.448 L 40.932 161.931 L S 1. g 86.3395 313.887 m 91.679 318.419 L 91.0829 326.67 L F 0 g 86.3395 313.887 m 91.679 318.419 L 91.0829 326.67 L S 1. g 91.679 318.419 m 86.3395 313.887 L 86.9573 305.688 L F 0 g 91.679 318.419 m 86.3395 313.887 L 86.9573 305.688 L S 1. g 114.666 390.23 m 109.46 386.109 L 109.97 377.564 L F 0 g 114.666 390.23 m 109.46 386.109 L 109.97 377.564 L S 1. g 196.504 160.747 m 203.973 162.022 L 203.187 163.516 L 196.504 160.747 L F 0 g 196.504 160.747 m 203.973 162.022 L 203.187 163.516 L 196.504 160.747 L S 1. g 168.048 168.286 m 174.515 165.05 L 175.902 169.538 L F 0 g 168.048 168.286 m 174.515 165.05 L 175.902 169.538 L S 1. g 175.902 169.538 m 169.875 174.061 L 168.048 168.286 L F 0 g 175.902 169.538 m 169.875 174.061 L 168.048 168.286 L S 1. g 182.46 165.75 m 175.902 169.538 L 174.515 165.05 L F 0 g 182.46 165.75 m 175.902 169.538 L 174.515 165.05 L S 1. g 233.526 194.754 m 230.321 188.438 L 234.563 180.995 L F 0 g 233.526 194.754 m 230.321 188.438 L 234.563 180.995 L S 1. g 229.906 175.807 m 234.563 180.995 L 230.321 188.438 L F 0 g 229.906 175.807 m 234.563 180.995 L 230.321 188.438 L S 1. g 174.515 165.05 m 181.539 162.678 L 182.46 165.75 L F 0 g 174.515 165.05 m 181.539 162.678 L 182.46 165.75 L S 1. g 189.389 162.795 m 182.46 165.75 L 181.539 162.678 L F 0 g 189.389 162.795 m 182.46 165.75 L 181.539 162.678 L S 1. g 227.556 220.774 m 227.517 214.691 L 236.917 207.507 L F 0 g 227.556 220.774 m 227.517 214.691 L 236.917 207.507 L S 1. g 235.747 201.165 m 236.917 207.507 L 227.517 214.691 L F 0 g 235.747 201.165 m 236.917 207.507 L 227.517 214.691 L S 1. g 186.058 236.861 m 185.609 232.446 L 200.228 233.15 L F 0 g 186.058 236.861 m 185.609 232.446 L 200.228 233.15 L S 1. g 200.228 233.15 m 199.938 237.531 L 186.058 236.861 L F 0 g 200.228 233.15 m 199.938 237.531 L 186.058 236.861 L S 1. g 199.938 237.531 m 200.228 233.15 L 214.415 231.029 L F 0 g 199.938 237.531 m 200.228 233.15 L 214.415 231.029 L S 1. g 162.298 172.312 m 168.048 168.286 L 169.875 174.061 L F 0 g 162.298 172.312 m 168.048 168.286 L 169.875 174.061 L S 1. g 169.875 174.061 m 164.532 179.211 L 162.298 172.312 L F 0 g 169.875 174.061 m 164.532 179.211 L 162.298 172.312 L S 1. g 181.539 162.678 m 188.931 161.235 L 189.389 162.795 L F 0 g 181.539 162.678 m 188.931 161.235 L 189.389 162.795 L S 1. g 196.504 160.747 m 189.389 162.795 L 188.931 161.235 L 196.504 160.747 L F 0 g 196.504 160.747 m 189.389 162.795 L 188.931 161.235 L 196.504 160.747 L S 1. g 152.505 203.286 m 153.913 197.048 L 161.43 204.932 L F 0 g 152.505 203.286 m 153.913 197.048 L 161.43 204.932 L S 1. g 161.43 204.932 m 160.268 211.36 L 152.505 203.286 L F 0 g 161.43 204.932 m 160.268 211.36 L 152.505 203.286 L S 1. g 160.812 223.05 m 160.056 217.456 L 171.526 223.556 L F 0 g 160.812 223.05 m 160.056 217.456 L 171.526 223.556 L S 1. g 171.526 223.556 m 172.014 228.969 L 160.812 223.05 L F 0 g 171.526 223.556 m 172.014 228.969 L 160.812 223.05 L S 1. g 35.2987 156.501 m 40.932 161.931 L 40.0939 169.448 L F 0 g 35.2987 156.501 m 40.932 161.931 L 40.0939 169.448 L S 1. g 58.441 228.787 m 63.9446 233.807 L 63.2189 241.665 L F 0 g 58.441 228.787 m 63.9446 233.807 L 63.2189 241.665 L S 1. g 63.9446 233.807 m 58.441 228.787 L 59.1926 220.985 L F 0 g 63.9446 233.807 m 58.441 228.787 L 59.1926 220.985 L S 1. g 81.5875 301.078 m 86.9573 305.688 L 86.3395 313.887 L F 0 g 81.5875 301.078 m 86.9573 305.688 L 86.3395 313.887 L S 1. g 86.9573 305.688 m 81.5875 301.078 L 82.2269 292.931 L F 0 g 86.9573 305.688 m 81.5875 301.078 L 82.2269 292.931 L S 1. g 104.73 373.365 m 109.97 377.564 L 109.46 386.109 L F 0 g 104.73 373.365 m 109.97 377.564 L 109.46 386.109 L S 1. g 109.97 377.564 m 104.73 373.365 L 105.261 364.876 L F 0 g 109.97 377.564 m 104.73 373.365 L 105.261 364.876 L S 1. g 173.15 233.582 m 172.014 228.969 L 185.609 232.446 L F 0 g 173.15 233.582 m 172.014 228.969 L 185.609 232.446 L S 1. g 185.609 232.446 m 186.058 236.861 L 173.15 233.582 L F 0 g 185.609 232.446 m 186.058 236.861 L 173.15 233.582 L S 1. g 211.226 164.233 m 203.973 162.022 L 203.952 160.44 L F 0 g 211.226 164.233 m 203.973 162.022 L 203.952 160.44 L S 1. g 196.504 160.747 m 203.952 160.44 L 203.973 162.022 L 196.504 160.747 L F 0 g 196.504 160.747 m 203.952 160.44 L 203.973 162.022 L 196.504 160.747 L S 1. g 218.082 167.318 m 211.226 164.233 L 211.205 161.11 L F 0 g 218.082 167.318 m 211.226 164.233 L 211.205 161.11 L S 1. g 203.952 160.44 m 211.205 161.11 L 211.226 164.233 L F 0 g 203.952 160.44 m 211.205 161.11 L 211.226 164.233 L S 1. g 53.6587 215.888 m 59.1926 220.985 L 58.441 228.787 L F 0 g 53.6587 215.888 m 59.1926 220.985 L 58.441 228.787 L S 1. g 59.1926 220.985 m 53.6587 215.888 L 54.432 208.138 L F 0 g 59.1926 220.985 m 53.6587 215.888 L 54.432 208.138 L S 1. g 76.8226 288.243 m 82.2269 292.931 L 81.5875 301.078 L F 0 g 76.8226 288.243 m 82.2269 292.931 L 81.5875 301.078 L S 1. g 82.2269 292.931 m 76.8226 288.243 L 77.4878 280.152 L F 0 g 82.2269 292.931 m 76.8226 288.243 L 77.4878 280.152 L S 1. g 99.9907 360.603 m 105.261 364.876 L 104.73 373.365 L F 0 g 99.9907 360.603 m 105.261 364.876 L 104.73 373.365 L S 1. g 105.261 364.876 m 99.9907 360.603 L 100.544 352.166 L F 0 g 105.261 364.876 m 99.9907 360.603 L 100.544 352.166 L S 1. g 157.425 177.029 m 162.298 172.312 L 164.532 179.211 L F 0 g 157.425 177.029 m 162.298 172.312 L 164.532 179.211 L S 1. g 164.532 179.211 m 160.017 184.853 L 157.425 177.029 L F 0 g 164.532 179.211 m 160.017 184.853 L 157.425 177.029 L S 1. g 196.504 160.747 m 201.563 157.68 L 203.118 158.937 L 196.504 160.747 L F 0 g 196.504 160.747 m 201.563 157.68 L 203.118 158.937 L 196.504 160.747 L S 1. g 196.504 160.747 m 199.454 156.803 L 201.563 157.68 L 196.504 160.747 L F 0 g 196.504 160.747 m 199.454 156.803 L 201.563 157.68 L 196.504 160.747 L S 1. g 196.504 160.747 m 197.022 156.414 L 199.454 156.803 L 196.504 160.747 L F 0 g 196.504 160.747 m 197.022 156.414 L 199.454 156.803 L 196.504 160.747 L S 1. g 196.504 160.747 m 194.53 156.544 L 197.022 156.414 L 196.504 160.747 L F 0 g 196.504 160.747 m 194.53 156.544 L 197.022 156.414 L 196.504 160.747 L S 1. g 196.504 160.747 m 192.253 157.188 L 194.53 156.544 L 196.504 160.747 L F 0 g 196.504 160.747 m 192.253 157.188 L 194.53 156.544 L 196.504 160.747 L S 1. g 196.504 160.747 m 190.443 158.268 L 192.253 157.188 L 196.504 160.747 L F 0 g 196.504 160.747 m 190.443 158.268 L 192.253 157.188 L 196.504 160.747 L S 1. g 196.504 160.747 m 189.294 159.672 L 190.443 158.268 L 196.504 160.747 L F 0 g 196.504 160.747 m 189.294 159.672 L 190.443 158.268 L 196.504 160.747 L S 1. g 196.504 160.747 m 188.931 161.235 L 189.294 159.672 L 196.504 160.747 L F 0 g 196.504 160.747 m 188.931 161.235 L 189.294 159.672 L 196.504 160.747 L S 1. g 196.504 160.747 m 203.118 158.937 L 203.952 160.44 L 196.504 160.747 L F 0 g 196.504 160.747 m 203.118 158.937 L 203.952 160.44 L 196.504 160.747 L S 1. g 235.747 201.165 m 233.526 194.754 L 238.209 186.641 L F 0 g 235.747 201.165 m 233.526 194.754 L 238.209 186.641 L S 1. g 234.563 180.995 m 238.209 186.641 L 233.526 194.754 L F 0 g 234.563 180.995 m 238.209 186.641 L 233.526 194.754 L S 1. g 182.235 159.589 m 189.294 159.672 L 188.931 161.235 L F 0 g 182.235 159.589 m 189.294 159.672 L 188.931 161.235 L S 1. g 188.931 161.235 m 181.539 162.678 L 182.235 159.589 L F 0 g 188.931 161.235 m 181.539 162.678 L 182.235 159.589 L S 1. g 224.359 171.21 m 218.082 167.318 L 218.087 162.747 L F 0 g 224.359 171.21 m 218.082 167.318 L 218.087 162.747 L S 1. g 211.205 161.11 m 218.087 162.747 L 218.082 167.318 L F 0 g 211.205 161.11 m 218.087 162.747 L 218.082 167.318 L S 1. g 48.8635 202.962 m 54.432 208.138 L 53.6587 215.888 L F 0 g 48.8635 202.962 m 54.432 208.138 L 53.6587 215.888 L S 1. g 54.432 208.138 m 48.8635 202.962 L 49.6627 195.264 L F 0 g 54.432 208.138 m 48.8635 202.962 L 49.6627 195.264 L S 1. g 72.0533 275.387 m 77.4878 280.152 L 76.8226 288.243 L F 0 g 72.0533 275.387 m 77.4878 280.152 L 76.8226 288.243 L S 1. g 77.4878 280.152 m 72.0533 275.387 L 72.7402 267.348 L F 0 g 77.4878 280.152 m 72.0533 275.387 L 72.7402 267.348 L S 1. g 95.2387 347.816 m 100.544 352.166 L 99.9907 360.603 L F 0 g 95.2387 347.816 m 100.544 352.166 L 99.9907 360.603 L S 1. g 100.544 352.166 m 95.2387 347.816 L 95.8176 339.431 L F 0 g 100.544 352.166 m 95.2387 347.816 L 95.8176 339.431 L S 1. g 214.415 231.029 m 213.404 235.526 L 199.938 237.531 L F 0 g 214.415 231.029 m 213.404 235.526 L 199.938 237.531 L S 1. g 213.404 235.526 m 214.415 231.029 L 226.752 226.273 L F 0 g 213.404 235.526 m 214.415 231.029 L 226.752 226.273 L S 1. g 227.556 220.774 m 226.752 226.273 L 214.415 231.029 L F 0 g 227.556 220.774 m 226.752 226.273 L 214.415 231.029 L S 75.1162 273.754 m 78.7493 272.588 L S 1. g 211.205 161.11 m 203.952 160.44 L 203.118 158.937 L F 0 g 211.205 161.11 m 203.952 160.44 L 203.118 158.937 L S 1. g 175.504 160.518 m 182.235 159.589 L 181.539 162.678 L F 0 g 175.504 160.518 m 182.235 159.589 L 181.539 162.678 L S 1. g 181.539 162.678 m 174.515 165.05 L 175.504 160.518 L F 0 g 181.539 162.678 m 174.515 165.05 L 175.504 160.518 L S 1. g 44.064 190.011 m 49.6627 195.264 L 48.8635 202.962 L F 0 g 44.064 190.011 m 49.6627 195.264 L 48.8635 202.962 L S 1. g 49.6627 195.264 m 44.064 190.011 L 44.8848 182.369 L F 0 g 49.6627 195.264 m 44.064 190.011 L 44.8848 182.369 L S 1. g 67.271 262.505 m 72.7402 267.348 L 72.0533 275.387 L F 0 g 67.271 262.505 m 72.7402 267.348 L 72.0533 275.387 L S 1. g 72.7402 267.348 m 67.271 262.505 L 67.9838 254.517 L F 0 g 72.7402 267.348 m 67.271 262.505 L 67.9838 254.517 L S 1. g 90.4824 335.003 m 95.8176 339.431 L 95.2387 347.816 L F 0 g 90.4824 335.003 m 95.8176 339.431 L 95.2387 347.816 L S 1. g 95.8176 339.431 m 90.4824 335.003 L 91.0829 326.67 L F 0 g 95.8176 339.431 m 90.4824 335.003 L 91.0829 326.67 L S 1. g 229.906 175.807 m 224.359 171.21 L 224.407 165.318 L F 0 g 229.906 175.807 m 224.359 171.21 L 224.407 165.318 L S 1. g 218.087 162.747 m 224.407 165.318 L 224.359 171.21 L F 0 g 218.087 162.747 m 224.407 165.318 L 224.359 171.21 L S 1. g 152.263 209.403 m 152.505 203.286 L 160.268 211.36 L F 0 g 152.263 209.403 m 152.505 203.286 L 160.268 211.36 L S 1. g 160.268 211.36 m 160.056 217.456 L 152.263 209.403 L F 0 g 160.268 211.36 m 160.056 217.456 L 152.263 209.403 L S 1. g 153.567 182.317 m 157.425 177.029 L 160.017 184.853 L F 0 g 153.567 182.317 m 157.425 177.029 L 160.017 184.853 L S 1. g 160.017 184.853 m 156.444 190.849 L 153.567 182.317 L F 0 g 160.017 184.853 m 156.444 190.849 L 153.567 182.317 L S 1. g 226.752 226.273 m 227.556 220.774 L 236.991 213.611 L F 0 g 226.752 226.273 m 227.556 220.774 L 236.991 213.611 L S 1. g 236.917 207.507 m 236.991 213.611 L 227.556 220.774 L F 0 g 236.917 207.507 m 236.991 213.611 L 227.556 220.774 L S 1. g 184.49 156.816 m 190.443 158.268 L 189.294 159.672 L F 0 g 184.49 156.816 m 190.443 158.268 L 189.294 159.672 L S 1. g 189.294 159.672 m 182.235 159.589 L 184.49 156.816 L F 0 g 189.294 159.672 m 182.235 159.589 L 184.49 156.816 L S 78.7493 272.588 m 82.3954 271.421 L S 1. g 39.2515 177.034 m 44.8848 182.369 L 44.064 190.011 L F 0 g 39.2515 177.034 m 44.8848 182.369 L 44.064 190.011 L S 1. g 44.8848 182.369 m 39.2515 177.034 L 40.0939 169.448 L F 0 g 44.8848 182.369 m 39.2515 177.034 L 40.0939 169.448 L S 1. g 85.7174 322.164 m 91.0829 326.67 L 90.4824 335.003 L F 0 g 85.7174 322.164 m 91.0829 326.67 L 90.4824 335.003 L S 1. g 91.0829 326.67 m 85.7174 322.164 L 86.3395 313.887 L F 0 g 91.0829 326.67 m 85.7174 322.164 L 86.3395 313.887 L S 1. g 62.4845 249.597 m 67.9838 254.517 L 67.271 262.505 L F 0 g 62.4845 249.597 m 67.9838 254.517 L 67.271 262.505 L S 1. g 67.9838 254.517 m 62.4845 249.597 L 63.2189 241.665 L F 0 g 67.9838 254.517 m 62.4845 249.597 L 63.2189 241.665 L S 1. g 169.288 162.436 m 175.504 160.518 L 174.515 165.05 L F 0 g 169.288 162.436 m 175.504 160.518 L 174.515 165.05 L S 1. g 174.515 165.05 m 168.048 168.286 L 169.288 162.436 L F 0 g 174.515 165.05 m 168.048 168.286 L 169.288 162.436 L S 1. g 209.585 158.138 m 203.118 158.937 L 201.563 157.68 L F 0 g 209.585 158.138 m 203.118 158.937 L 201.563 157.68 L S 1. g 203.118 158.937 m 209.585 158.138 L 211.205 161.11 L F 0 g 203.118 158.937 m 209.585 158.138 L 211.205 161.11 L S 1. g 236.917 207.507 m 235.747 201.165 L 240.741 192.607 L F 0 g 236.917 207.507 m 235.747 201.165 L 240.741 192.607 L S 1. g 238.209 186.641 m 240.741 192.607 L 235.747 201.165 L F 0 g 238.209 186.641 m 240.741 192.607 L 235.747 201.165 L S 1. g 218.087 162.747 m 211.205 161.11 L 209.585 158.138 L F 0 g 218.087 162.747 m 211.205 161.11 L 209.585 158.138 L S 1. g 162.527 227.988 m 160.812 223.05 L 172.014 228.969 L F 0 g 162.527 227.988 m 160.812 223.05 L 172.014 228.969 L S 1. g 172.014 228.969 m 173.15 233.582 L 162.527 227.988 L F 0 g 172.014 228.969 m 173.15 233.582 L 162.527 227.988 L S 1. g 188.063 154.669 m 192.253 157.188 L 190.443 158.268 L F 0 g 188.063 154.669 m 192.253 157.188 L 190.443 158.268 L S 1. g 190.443 158.268 m 184.49 156.816 L 188.063 154.669 L F 0 g 190.443 158.268 m 184.49 156.816 L 188.063 154.669 L S 1. g 57.685 236.667 m 63.2189 241.665 L 62.4845 249.597 L F 0 g 57.685 236.667 m 63.2189 241.665 L 62.4845 249.597 L S 1. g 63.2189 241.665 m 57.685 236.667 L 58.441 228.787 L F 0 g 63.2189 241.665 m 57.685 236.667 L 58.441 228.787 L S 1. g 34.4304 164.035 m 40.0939 169.448 L 39.2515 177.034 L F 0 g 34.4304 164.035 m 40.0939 169.448 L 39.2515 177.034 L S 1. g 40.0939 169.448 m 34.4304 164.035 L 35.2987 156.501 L F 0 g 40.0939 169.448 m 34.4304 164.035 L 35.2987 156.501 L S 1. g 80.9395 309.303 m 86.3395 313.887 L 85.7174 322.164 L F 0 g 80.9395 309.303 m 86.3395 313.887 L 85.7174 322.164 L S 1. g 86.3395 313.887 m 80.9395 309.303 L 81.5875 301.078 L F 0 g 86.3395 313.887 m 80.9395 309.303 L 81.5875 301.078 L S 1. g 109.46 386.109 m 104.194 381.936 L 104.73 373.365 L F 0 g 109.46 386.109 m 104.194 381.936 L 104.73 373.365 L S 1. g 186.78 240.257 m 186.058 236.861 L 199.938 237.531 L F 0 g 186.78 240.257 m 186.058 236.861 L 199.938 237.531 L S 1. g 199.938 237.531 m 199.536 240.87 L 186.78 240.257 L F 0 g 199.938 237.531 m 199.536 240.87 L 186.78 240.257 L S 1. g 199.536 240.87 m 199.938 237.531 L 213.404 235.526 L F 0 g 199.536 240.87 m 199.938 237.531 L 213.404 235.526 L S 1. g 234.563 180.995 m 229.906 175.807 L 230.001 168.756 L F 0 g 234.563 180.995 m 229.906 175.807 L 230.001 168.756 L S 1. g 224.407 165.318 m 230.001 168.756 L 229.906 175.807 L F 0 g 224.407 165.318 m 230.001 168.756 L 229.906 175.807 L S 82.3954 271.421 m 86.0501 270.251 L S 1. g 201.563 157.68 m 206.518 155.641 L 209.585 158.138 L F 0 g 201.563 157.68 m 206.518 155.641 L 209.585 158.138 L S 1. g 206.518 155.641 m 201.563 157.68 L 199.454 156.803 L F 0 g 206.518 155.641 m 201.563 157.68 L 199.454 156.803 L S 1. g 174.917 237.254 m 173.15 233.582 L 186.058 236.861 L F 0 g 174.917 237.254 m 173.15 233.582 L 186.058 236.861 L S 1. g 186.058 236.861 m 186.78 240.257 L 174.917 237.254 L F 0 g 186.058 236.861 m 186.78 240.257 L 174.917 237.254 L S 1. g 150.833 188.041 m 153.567 182.317 L 156.444 190.849 L F 0 g 150.833 188.041 m 153.567 182.317 L 156.444 190.849 L S 1. g 156.444 190.849 m 153.913 197.048 L 150.833 188.041 L F 0 g 156.444 190.849 m 153.913 197.048 L 150.833 188.041 L S 1. g 29.6006 151.006 m 35.2987 156.501 L 34.4304 164.035 L F 0 g 29.6006 151.006 m 35.2987 156.501 L 34.4304 164.035 L S 1. g 52.8768 223.711 m 58.441 228.787 L 57.685 236.667 L F 0 g 52.8768 223.711 m 58.441 228.787 L 57.685 236.667 L S 1. g 58.441 228.787 m 52.8768 223.711 L 53.6587 215.888 L F 0 g 58.441 228.787 m 52.8768 223.711 L 53.6587 215.888 L S 1. g 99.4291 369.118 m 104.73 373.365 L 104.194 381.936 L F 0 g 99.4291 369.118 m 104.73 373.365 L 104.194 381.936 L S 1. g 104.73 373.365 m 99.4291 369.118 L 99.9907 360.603 L F 0 g 104.73 373.365 m 99.4291 369.118 L 99.9907 360.603 L S 1. g 76.153 296.417 m 81.5875 301.078 L 80.9395 309.303 L F 0 g 76.153 296.417 m 81.5875 301.078 L 80.9395 309.303 L S 1. g 81.5875 301.078 m 76.153 296.417 L 76.8226 288.243 L F 0 g 81.5875 301.078 m 76.153 296.417 L 76.8226 288.243 L S 1. g 178.796 156.436 m 184.49 156.816 L 182.235 159.589 L F 0 g 178.796 156.436 m 184.49 156.816 L 182.235 159.589 L S 1. g 182.235 159.589 m 175.504 160.518 L 178.796 156.436 L F 0 g 182.235 159.589 m 175.504 160.518 L 178.796 156.436 L S 1. g 192.573 153.39 m 194.53 156.544 L 192.253 157.188 L F 0 g 192.573 153.39 m 194.53 156.544 L 192.253 157.188 L S 1. g 192.253 157.188 m 188.063 154.669 L 192.573 153.39 L F 0 g 192.253 157.188 m 188.063 154.669 L 192.573 153.39 L S 1. g 163.745 165.309 m 169.288 162.436 L 168.048 168.286 L F 0 g 163.745 165.309 m 169.288 162.436 L 168.048 168.286 L S 1. g 168.048 168.286 m 162.298 172.312 L 163.745 165.309 L F 0 g 168.048 168.286 m 162.298 172.312 L 163.745 165.309 L S 1. g 199.454 156.803 m 202.344 153.904 L 206.518 155.641 L F 0 g 199.454 156.803 m 202.344 153.904 L 206.518 155.641 L S 1. g 202.344 153.904 m 199.454 156.803 L 197.022 156.414 L F 0 g 202.344 153.904 m 199.454 156.803 L 197.022 156.414 L S 1. g 224.407 165.318 m 218.087 162.747 L 215.728 158.38 L F 0 g 224.407 165.318 m 218.087 162.747 L 215.728 158.38 L S 1. g 209.585 158.138 m 215.728 158.38 L 218.087 162.747 L F 0 g 209.585 158.138 m 215.728 158.38 L 218.087 162.747 L S 1. g 197.515 153.127 m 197.022 156.414 L 194.53 156.544 L F 0 g 197.515 153.127 m 197.022 156.414 L 194.53 156.544 L S 1. g 194.53 156.544 m 192.573 153.39 L 197.515 153.127 L F 0 g 194.53 156.544 m 192.573 153.39 L 197.515 153.127 L S 86.0501 270.251 m 89.7178 269.076 L S 1. g 197.022 156.414 m 197.515 153.127 L 202.344 153.904 L F 0 g 197.022 156.414 m 197.515 153.127 L 202.344 153.904 L S 1. g 48.06 210.73 m 53.6587 215.888 L 52.8768 223.711 L F 0 g 48.06 210.73 m 53.6587 215.888 L 52.8768 223.711 L S 1. g 53.6587 215.888 m 48.06 210.73 L 48.8635 202.962 L F 0 g 53.6587 215.888 m 48.06 210.73 L 48.8635 202.962 L S 1. g 71.3578 283.504 m 76.8226 288.243 L 76.153 296.417 L F 0 g 71.3578 283.504 m 76.8226 288.243 L 76.153 296.417 L S 1. g 76.8226 288.243 m 71.3578 283.504 L 72.0533 275.387 L F 0 g 76.8226 288.243 m 71.3578 283.504 L 72.0533 275.387 L S 1. g 94.6598 356.279 m 99.9907 360.603 L 99.4291 369.118 L F 0 g 94.6598 356.279 m 99.9907 360.603 L 99.4291 369.118 L S 1. g 99.9907 360.603 m 94.6598 356.279 L 95.2387 347.816 L F 0 g 99.9907 360.603 m 94.6598 356.279 L 95.2387 347.816 L S 1. g 153.204 215.235 m 152.263 209.403 L 160.056 217.456 L F 0 g 153.204 215.235 m 152.263 209.403 L 160.056 217.456 L S 1. g 160.056 217.456 m 160.812 223.05 L 153.204 215.235 L F 0 g 160.056 217.456 m 160.812 223.05 L 153.204 215.235 L S 1. g 213.404 235.526 m 211.918 239.034 L 199.536 240.87 L F 0 g 213.404 235.526 m 211.918 239.034 L 199.536 240.87 L S 1. g 211.918 239.034 m 213.404 235.526 L 225.111 231.034 L F 0 g 211.918 239.034 m 213.404 235.526 L 225.111 231.034 L S 1. g 226.752 226.273 m 225.111 231.034 L 213.404 235.526 L F 0 g 226.752 226.273 m 225.111 231.034 L 213.404 235.526 L S 1. g 215.728 158.38 m 209.585 158.138 L 206.518 155.641 L F 0 g 215.728 158.38 m 209.585 158.138 L 206.518 155.641 L S 1. g 238.209 186.641 m 234.563 180.995 L 234.71 172.99 L F 0 g 238.209 186.641 m 234.563 180.995 L 234.71 172.99 L S 1. g 230.001 168.756 m 234.71 172.99 L 234.563 180.995 L F 0 g 230.001 168.756 m 234.71 172.99 L 234.563 180.995 L S 1. g 236.991 213.611 m 236.917 207.507 L 242.08 198.737 L F 0 g 236.991 213.611 m 236.917 207.507 L 242.08 198.737 L S 1. g 240.741 192.607 m 242.08 198.737 L 236.917 207.507 L F 0 g 240.741 192.607 m 242.08 198.737 L 236.917 207.507 L S 1. g 225.111 231.034 m 226.752 226.273 L 235.963 219.318 L F 0 g 225.111 231.034 m 226.752 226.273 L 235.963 219.318 L S 1. g 236.991 213.611 m 235.963 219.318 L 226.752 226.273 L F 0 g 236.991 213.611 m 235.963 219.318 L 226.752 226.273 L S 1. g 43.2346 197.726 m 48.8635 202.962 L 48.06 210.73 L F 0 g 43.2346 197.726 m 48.8635 202.962 L 48.06 210.73 L S 1. g 48.8635 202.962 m 43.2346 197.726 L 44.064 190.011 L F 0 g 48.8635 202.962 m 43.2346 197.726 L 44.064 190.011 L S 1. g 66.5539 270.57 m 72.0533 275.387 L 71.3578 283.504 L F 0 g 66.5539 270.57 m 72.0533 275.387 L 71.3578 283.504 L S 1. g 72.0533 275.387 m 66.5539 270.57 L 67.271 262.505 L F 0 g 72.0533 275.387 m 66.5539 270.57 L 67.271 262.505 L S 1. g 89.8776 343.414 m 95.2387 347.816 L 94.6598 356.279 L F 0 g 89.8776 343.414 m 95.2387 347.816 L 94.6598 356.279 L S 1. g 95.2387 347.816 m 89.8776 343.414 L 90.4824 335.003 L F 0 g 95.2387 347.816 m 89.8776 343.414 L 90.4824 335.003 L S 89.7178 269.076 m 93.3941 267.9 L S 1. g 159.041 169.068 m 163.745 165.309 L 162.298 172.312 L F 0 g 159.041 169.068 m 163.745 165.309 L 162.298 172.312 L S 1. g 162.298 172.312 m 157.425 177.029 L 159.041 169.068 L F 0 g 162.298 172.312 m 157.425 177.029 L 159.041 169.068 L S 1. g 38.4005 184.693 m 44.064 190.011 L 43.2346 197.726 L F 0 g 38.4005 184.693 m 44.064 190.011 L 43.2346 197.726 L S 1. g 44.064 190.011 m 38.4005 184.693 L 39.2515 177.034 L F 0 g 44.064 190.011 m 38.4005 184.693 L 39.2515 177.034 L S 1. g 61.7414 257.606 m 67.271 262.505 L 66.5539 270.57 L F 0 g 61.7414 257.606 m 67.271 262.505 L 66.5539 270.57 L S 1. g 67.271 262.505 m 61.7414 257.606 L 62.4845 249.597 L F 0 g 67.271 262.505 m 61.7414 257.606 L 62.4845 249.597 L S 1. g 85.0867 330.523 m 90.4824 335.003 L 89.8776 343.414 L F 0 g 85.0867 330.523 m 90.4824 335.003 L 89.8776 343.414 L S 1. g 90.4824 335.003 m 85.0867 330.523 L 85.7174 322.164 L F 0 g 90.4824 335.003 m 85.0867 330.523 L 85.7174 322.164 L S 1. g 149.312 194.059 m 150.833 188.041 L 153.913 197.048 L F 0 g 149.312 194.059 m 150.833 188.041 L 153.913 197.048 L S 1. g 153.913 197.048 m 152.505 203.286 L 149.312 194.059 L F 0 g 153.913 197.048 m 152.505 203.286 L 149.312 194.059 L S 1. g 184.045 153.274 m 188.063 154.669 L 184.49 156.816 L F 0 g 184.045 153.274 m 188.063 154.669 L 184.49 156.816 L S 1. g 184.49 156.816 m 178.796 156.436 L 184.045 153.274 L F 0 g 184.49 156.816 m 178.796 156.436 L 184.045 153.274 L S 1. g 173.517 157.157 m 178.796 156.436 L 175.504 160.518 L F 0 g 173.517 157.157 m 178.796 156.436 L 175.504 160.518 L S 1. g 175.504 160.518 m 169.288 162.436 L 173.517 157.157 L F 0 g 175.504 160.518 m 169.288 162.436 L 173.517 157.157 L S 1. g 230.001 168.756 m 224.407 165.318 L 221.387 159.676 L F 0 g 230.001 168.756 m 224.407 165.318 L 221.387 159.676 L S 1. g 215.728 158.38 m 221.387 159.676 L 224.407 165.318 L F 0 g 215.728 158.38 m 221.387 159.676 L 224.407 165.318 L S 1. g 165.171 232.14 m 162.527 227.988 L 173.15 233.582 L F 0 g 165.171 232.14 m 162.527 227.988 L 173.15 233.582 L S 1. g 173.15 233.582 m 174.917 237.254 L 165.171 232.14 L F 0 g 173.15 233.582 m 174.917 237.254 L 165.171 232.14 L S 93.3941 267.9 m 97.079 266.721 L S 1. g 33.5534 171.638 m 39.2515 177.034 L 38.4005 184.693 L F 0 g 33.5534 171.638 m 39.2515 177.034 L 38.4005 184.693 L S 1. g 39.2515 177.034 m 33.5534 171.638 L 34.4304 164.035 L F 0 g 39.2515 177.034 m 33.5534 171.638 L 34.4304 164.035 L S 1. g 80.2872 317.606 m 85.7174 322.164 L 85.0867 330.523 L F 0 g 80.2872 317.606 m 85.7174 322.164 L 85.0867 330.523 L S 1. g 85.7174 322.164 m 80.2872 317.606 L 80.9395 309.303 L F 0 g 85.7174 322.164 m 80.2872 317.606 L 80.9395 309.303 L S 1. g 56.9203 244.62 m 62.4845 249.597 L 61.7414 257.606 L F 0 g 56.9203 244.62 m 62.4845 249.597 L 61.7414 257.606 L S 1. g 62.4845 249.597 m 56.9203 244.62 L 57.685 236.667 L F 0 g 62.4845 249.597 m 56.9203 244.62 L 57.685 236.667 L S 1. g 206.518 155.641 m 211.239 154.708 L 215.728 158.38 L F 0 g 206.518 155.641 m 211.239 154.708 L 215.728 158.38 L S 1. g 211.239 154.708 m 206.518 155.641 L 202.344 153.904 L F 0 g 211.239 154.708 m 206.518 155.641 L 202.344 153.904 L S 1. g 240.741 192.607 m 238.209 186.641 L 238.408 177.911 L F 0 g 240.741 192.607 m 238.209 186.641 L 238.408 177.911 L S 1. g 234.71 172.99 m 238.408 177.911 L 238.209 186.641 L F 0 g 234.71 172.99 m 238.408 177.911 L 238.209 186.641 L S 1. g 52.0906 231.612 m 57.685 236.667 L 56.9203 244.62 L F 0 g 52.0906 231.612 m 57.685 236.667 L 56.9203 244.62 L S 1. g 57.685 236.667 m 52.0906 231.612 L 52.8768 223.711 L F 0 g 57.685 236.667 m 52.0906 231.612 L 52.8768 223.711 L S 1. g 28.7021 158.557 m 34.4304 164.035 L 33.5534 171.638 L F 0 g 28.7021 158.557 m 34.4304 164.035 L 33.5534 171.638 L S 1. g 34.4304 164.035 m 28.7021 158.557 L 29.6006 151.006 L F 0 g 34.4304 164.035 m 28.7021 158.557 L 29.6006 151.006 L S 1. g 75.479 304.664 m 80.9395 309.303 L 80.2872 317.606 L F 0 g 75.479 304.664 m 80.9395 309.303 L 80.2872 317.606 L S 1. g 80.9395 309.303 m 75.479 304.664 L 76.153 296.417 L F 0 g 80.9395 309.303 m 75.479 304.664 L 76.153 296.417 L S 1. g 104.194 381.936 m 98.8675 377.719 L 99.4291 369.118 L F 0 g 104.194 381.936 m 98.8675 377.719 L 99.4291 369.118 L S 1. g 187.756 242.525 m 186.78 240.257 L 199.536 240.87 L F 0 g 187.756 242.525 m 186.78 240.257 L 199.536 240.87 L S 1. g 199.536 240.87 m 199.04 243.065 L 187.756 242.525 L F 0 g 199.536 240.87 m 199.04 243.065 L 187.756 242.525 L S 1. g 199.04 243.065 m 199.536 240.87 L 211.918 239.034 L F 0 g 199.04 243.065 m 199.536 240.87 L 211.918 239.034 L S 97.079 266.721 m 100.777 265.537 L S 1. g 190.685 151.381 m 192.573 153.39 L 188.063 154.669 L F 0 g 190.685 151.381 m 192.573 153.39 L 188.063 154.669 L S 1. g 188.063 154.669 m 184.045 153.274 L 190.685 151.381 L F 0 g 188.063 154.669 m 184.045 153.274 L 190.685 151.381 L S 1. g 221.387 159.676 m 215.728 158.38 L 211.239 154.708 L F 0 g 221.387 159.676 m 215.728 158.38 L 211.239 154.708 L S 1. g 155.326 220.622 m 153.204 215.235 L 160.812 223.05 L F 0 g 155.326 220.622 m 153.204 215.235 L 160.812 223.05 L S 1. g 160.812 223.05 m 162.527 227.988 L 155.326 220.622 L F 0 g 160.812 223.05 m 162.527 227.988 L 155.326 220.622 L S 1. g 235.963 219.318 m 236.991 213.611 L 242.175 204.872 L F 0 g 235.963 219.318 m 236.991 213.611 L 242.175 204.872 L S 1. g 242.08 198.737 m 242.175 204.872 L 236.991 213.611 L F 0 g 242.08 198.737 m 242.175 204.872 L 236.991 213.611 L S 1. g 177.28 239.877 m 174.917 237.254 L 186.78 240.257 L F 0 g 177.28 239.877 m 174.917 237.254 L 186.78 240.257 L S 1. g 186.78 240.257 m 187.756 242.525 L 177.28 239.877 L F 0 g 186.78 240.257 m 187.756 242.525 L 177.28 239.877 L S 1. g 70.6579 291.699 m 76.153 296.417 L 75.479 304.664 L F 0 g 70.6579 291.699 m 76.153 296.417 L 75.479 304.664 L S 1. g 76.153 296.417 m 70.6579 291.699 L 71.3578 283.504 L F 0 g 76.153 296.417 m 70.6579 291.699 L 71.3578 283.504 L S 1. g 47.2478 218.575 m 52.8768 223.711 L 52.0906 231.612 L F 0 g 47.2478 218.575 m 52.8768 223.711 L 52.0906 231.612 L S 1. g 52.8768 223.711 m 47.2478 218.575 L 48.06 210.73 L F 0 g 52.8768 223.711 m 47.2478 218.575 L 48.06 210.73 L S 1. g 94.0723 364.824 m 99.4291 369.118 L 98.8675 377.719 L F 0 g 94.0723 364.824 m 99.4291 369.118 L 98.8675 377.719 L S 1. g 99.4291 369.118 m 94.0723 364.824 L 94.6598 356.279 L F 0 g 99.4291 369.118 m 94.0723 364.824 L 94.6598 356.279 L S 1. g 155.304 173.621 m 159.041 169.068 L 157.425 177.029 L F 0 g 155.304 173.621 m 159.041 169.068 L 157.425 177.029 L S 1. g 157.425 177.029 m 153.567 182.317 L 155.304 173.621 L F 0 g 157.425 177.029 m 153.567 182.317 L 155.304 173.621 L S 1. g 202.344 153.904 m 205.096 152.146 L 211.239 154.708 L F 0 g 202.344 153.904 m 205.096 152.146 L 211.239 154.708 L S 1. g 205.096 152.146 m 202.344 153.904 L 197.515 153.127 L F 0 g 205.096 152.146 m 202.344 153.904 L 197.515 153.127 L S 1. g 149.057 200.202 m 149.312 194.059 L 152.505 203.286 L F 0 g 149.057 200.202 m 149.312 194.059 L 152.505 203.286 L S 1. g 152.505 203.286 m 152.263 209.403 L 149.057 200.202 L F 0 g 152.505 203.286 m 152.263 209.403 L 149.057 200.202 L S 100.777 265.537 m 104.484 264.349 L S 1. g 225.111 231.034 m 222.666 234.922 L 211.918 239.034 L F 0 g 225.111 231.034 m 222.666 234.922 L 211.918 239.034 L S 1. g 222.666 234.922 m 225.111 231.034 L 233.837 224.467 L F 0 g 222.666 234.922 m 225.111 231.034 L 233.837 224.467 L S 1. g 235.963 219.318 m 233.837 224.467 L 225.111 231.034 L F 0 g 235.963 219.318 m 233.837 224.467 L 225.111 231.034 L S 1. g 168.8 158.976 m 173.517 157.157 L 169.288 162.436 L F 0 g 168.8 158.976 m 173.517 157.157 L 169.288 162.436 L S 1. g 169.288 162.436 m 163.745 165.309 L 168.8 158.976 L F 0 g 169.288 162.436 m 163.745 165.309 L 168.8 158.976 L S 1. g 197.977 150.993 m 197.515 153.127 L 192.573 153.39 L F 0 g 197.977 150.993 m 197.515 153.127 L 192.573 153.39 L S 1. g 192.573 153.39 m 190.685 151.381 L 197.977 150.993 L F 0 g 192.573 153.39 m 190.685 151.381 L 197.977 150.993 L S 1. g 234.71 172.99 m 230.001 168.756 L 226.411 161.996 L F 0 g 234.71 172.99 m 230.001 168.756 L 226.411 161.996 L S 1. g 221.387 159.676 m 226.411 161.996 L 230.001 168.756 L F 0 g 221.387 159.676 m 226.411 161.996 L 230.001 168.756 L S 1. g 42.3965 205.515 m 48.06 210.73 L 47.2478 218.575 L F 0 g 42.3965 205.515 m 48.06 210.73 L 47.2478 218.575 L S 1. g 48.06 210.73 m 42.3965 205.515 L 43.2346 197.726 L F 0 g 48.06 210.73 m 42.3965 205.515 L 43.2346 197.726 L S 1. g 65.8325 278.709 m 71.3578 283.504 L 70.6579 291.699 L F 0 g 65.8325 278.709 m 71.3578 283.504 L 70.6579 291.699 L S 1. g 71.3578 283.504 m 65.8325 278.709 L 66.5539 270.57 L F 0 g 71.3578 283.504 m 65.8325 278.709 L 66.5539 270.57 L S 1. g 89.2642 351.903 m 94.6598 356.279 L 94.0723 364.824 L F 0 g 89.2642 351.903 m 94.6598 356.279 L 94.0723 364.824 L S 1. g 94.6598 356.279 m 89.2642 351.903 L 89.8776 343.414 L F 0 g 94.6598 356.279 m 89.2642 351.903 L 89.8776 343.414 L S 1. g 197.515 153.127 m 197.977 150.993 L 205.096 152.146 L F 0 g 197.515 153.127 m 197.977 150.993 L 205.096 152.146 L S 1. g 211.918 239.034 m 209.982 241.445 L 199.04 243.065 L F 0 g 211.918 239.034 m 209.982 241.445 L 199.04 243.065 L S 1. g 209.982 241.445 m 211.918 239.034 L 222.666 234.922 L F 0 g 209.982 241.445 m 211.918 239.034 L 222.666 234.922 L S 1. g 180.308 153.053 m 184.045 153.274 L 178.796 156.436 L F 0 g 180.308 153.053 m 184.045 153.274 L 178.796 156.436 L S 1. g 178.796 156.436 m 173.517 157.157 L 180.308 153.053 L F 0 g 178.796 156.436 m 173.517 157.157 L 180.308 153.053 L S 1. g 37.5365 192.426 m 43.2346 197.726 L 42.3965 205.515 L F 0 g 37.5365 192.426 m 43.2346 197.726 L 42.3965 205.515 L S 1. g 43.2346 197.726 m 37.5365 192.426 L 38.4005 184.693 L F 0 g 43.2346 197.726 m 37.5365 192.426 L 38.4005 184.693 L S 1. g 84.4517 338.96 m 89.8776 343.414 L 89.2642 351.903 L F 0 g 84.4517 338.96 m 89.8776 343.414 L 89.2642 351.903 L S 1. g 89.8776 343.414 m 84.4517 338.96 L 85.0867 330.523 L F 0 g 89.8776 343.414 m 84.4517 338.96 L 85.0867 330.523 L S 1. g 60.9941 265.693 m 66.5539 270.57 L 65.8325 278.709 L F 0 g 60.9941 265.693 m 66.5539 270.57 L 65.8325 278.709 L S 1. g 66.5539 270.57 m 60.9941 265.693 L 61.7414 257.606 L F 0 g 66.5539 270.57 m 60.9941 265.693 L 61.7414 257.606 L S 1. g 242.08 198.737 m 240.741 192.607 L 240.978 183.388 L F 0 g 242.08 198.737 m 240.741 192.607 L 240.978 183.388 L S 1. g 238.408 177.911 m 240.978 183.388 L 240.741 192.607 L F 0 g 238.408 177.911 m 240.978 183.388 L 240.741 192.607 L S 104.484 264.349 m 108.203 263.161 L S 1. g 32.6678 179.315 m 38.4005 184.693 L 37.5365 192.426 L F 0 g 32.6678 179.315 m 38.4005 184.693 L 37.5365 192.426 L S 1. g 38.4005 184.693 m 32.6678 179.315 L 33.5534 171.638 L F 0 g 38.4005 184.693 m 32.6678 179.315 L 33.5534 171.638 L S 1. g 56.147 252.651 m 61.7414 257.606 L 60.9941 265.693 L F 0 g 56.147 252.651 m 61.7414 257.606 L 60.9941 265.693 L S 1. g 61.7414 257.606 m 56.147 252.651 L 56.9203 244.62 L F 0 g 61.7414 257.606 m 56.147 252.651 L 56.9203 244.62 L S 1. g 79.6262 325.992 m 85.0867 330.523 L 84.4517 338.96 L F 0 g 79.6262 325.992 m 85.0867 330.523 L 84.4517 338.96 L S 1. g 85.0867 330.523 m 79.6262 325.992 L 80.2872 317.606 L F 0 g 85.0867 330.523 m 79.6262 325.992 L 80.2872 317.606 L S 1. g 168.683 235.371 m 165.171 232.14 L 174.917 237.254 L F 0 g 168.683 235.371 m 165.171 232.14 L 174.917 237.254 L S 1. g 174.917 237.254 m 177.28 239.877 L 168.683 235.371 L F 0 g 174.917 237.254 m 177.28 239.877 L 168.683 235.371 L S 1. g 152.656 178.857 m 155.304 173.621 L 153.567 182.317 L F 0 g 152.656 178.857 m 155.304 173.621 L 153.567 182.317 L S 1. g 153.567 182.317 m 150.833 188.041 L 152.656 178.857 L F 0 g 153.567 182.317 m 150.833 188.041 L 152.656 178.857 L S 1. g 211.239 154.708 m 215.594 154.915 L 221.387 159.676 L F 0 g 211.239 154.708 m 215.594 154.915 L 221.387 159.676 L S 1. g 215.594 154.915 m 211.239 154.708 L 205.096 152.146 L F 0 g 215.594 154.915 m 211.239 154.708 L 205.096 152.146 L S 108.203 263.161 m 111.931 261.965 L S 1. g 226.411 161.996 m 221.387 159.676 L 215.594 154.915 L F 0 g 226.411 161.996 m 221.387 159.676 L 215.594 154.915 L S 1. g 233.837 224.467 m 235.963 219.318 L 241.013 210.838 L F 0 g 233.837 224.467 m 235.963 219.318 L 241.013 210.838 L S 1. g 242.175 204.872 m 241.013 210.838 L 235.963 219.318 L F 0 g 242.175 204.872 m 241.013 210.838 L 235.963 219.318 L S 1. g 27.7906 166.177 m 33.5534 171.638 L 32.6678 179.315 L F 0 g 27.7906 166.177 m 33.5534 171.638 L 32.6678 179.315 L S 1. g 33.5534 171.638 m 27.7906 166.177 L 28.7021 158.557 L F 0 g 33.5534 171.638 m 27.7906 166.177 L 28.7021 158.557 L S 1. g 74.7965 312.993 m 80.2872 317.606 L 79.6262 325.992 L F 0 g 74.7965 312.993 m 80.2872 317.606 L 79.6262 325.992 L S 1. g 80.2872 317.606 m 74.7965 312.993 L 75.479 304.664 L F 0 g 80.2872 317.606 m 74.7965 312.993 L 75.479 304.664 L S 1. g 51.2914 239.587 m 56.9203 244.62 L 56.147 252.651 L F 0 g 51.2914 239.587 m 56.9203 244.62 L 56.147 252.651 L S 1. g 56.9203 244.62 m 51.2914 239.587 L 52.0906 231.612 L F 0 g 56.9203 244.62 m 51.2914 239.587 L 52.0906 231.612 L S 1. g 158.579 225.405 m 155.326 220.622 L 162.527 227.988 L F 0 g 158.579 225.405 m 155.326 220.622 L 162.527 227.988 L S 1. g 162.527 227.988 m 165.171 232.14 L 158.579 225.405 L F 0 g 162.527 227.988 m 165.171 232.14 L 158.579 225.405 L S 1. g 150.085 206.31 m 149.057 200.202 L 152.263 209.403 L F 0 g 150.085 206.31 m 149.057 200.202 L 152.263 209.403 L S 1. g 152.263 209.403 m 153.204 215.235 L 150.085 206.31 L F 0 g 152.263 209.403 m 153.204 215.235 L 150.085 206.31 L S 1. g 238.408 177.911 m 234.71 172.99 L 230.649 165.296 L F 0 g 238.408 177.911 m 234.71 172.99 L 230.649 165.296 L S 1. g 226.411 161.996 m 230.649 165.296 L 234.71 172.99 L F 0 g 226.411 161.996 m 230.649 165.296 L 234.71 172.99 L S 1. g 164.782 161.853 m 168.8 158.976 L 163.745 165.309 L F 0 g 164.782 161.853 m 168.8 158.976 L 163.745 165.309 L S 1. g 163.745 165.309 m 159.041 169.068 L 164.782 161.853 L F 0 g 163.745 165.309 m 159.041 169.068 L 164.782 161.853 L S 1. g 46.427 226.498 m 52.0906 231.612 L 51.2914 239.587 L F 0 g 46.427 226.498 m 52.0906 231.612 L 51.2914 239.587 L S 1. g 52.0906 231.612 m 46.427 226.498 L 47.2478 218.575 L F 0 g 52.0906 231.612 m 46.427 226.498 L 47.2478 218.575 L S 1. g 69.9538 299.972 m 75.479 304.664 L 74.7965 312.993 L F 0 g 69.9538 299.972 m 75.479 304.664 L 74.7965 312.993 L S 1. g 75.479 304.664 m 69.9538 299.972 L 70.6579 291.699 L F 0 g 75.479 304.664 m 69.9538 299.972 L 70.6579 291.699 L S 1. g 98.8675 377.719 m 93.4762 373.451 L 94.0723 364.824 L F 0 g 98.8675 377.719 m 93.4762 373.451 L 94.0723 364.824 L S 1. g 188.922 150.6 m 190.685 151.381 L 184.045 153.274 L F 0 g 188.922 150.6 m 190.685 151.381 L 184.045 153.274 L S 1. g 184.045 153.274 m 180.308 153.053 L 188.922 150.6 L F 0 g 184.045 153.274 m 180.308 153.053 L 188.922 150.6 L S 111.931 261.965 m 115.668 260.768 L S 1. g 188.974 243.583 m 187.756 242.525 L 199.04 243.065 L F 0 g 188.974 243.583 m 187.756 242.525 L 199.04 243.065 L S 1. g 199.04 243.065 m 198.452 244.032 L 188.974 243.583 L F 0 g 199.04 243.065 m 198.452 244.032 L 188.974 243.583 L S 1. g 198.452 244.032 m 199.04 243.065 L 209.982 241.445 L F 0 g 198.452 244.032 m 199.04 243.065 L 209.982 241.445 L S 1. g 242.175 204.872 m 242.08 198.737 L 242.335 189.285 L F 0 g 242.175 204.872 m 242.08 198.737 L 242.335 189.285 L S 1. g 240.978 183.388 m 242.335 189.285 L 242.08 198.737 L F 0 g 240.978 183.388 m 242.335 189.285 L 242.08 198.737 L S 1. g 41.5541 213.378 m 47.2478 218.575 L 46.427 226.498 L F 0 g 41.5541 213.378 m 47.2478 218.575 L 46.427 226.498 L S 1. g 47.2478 218.575 m 41.5541 213.378 L 42.3965 205.515 L F 0 g 47.2478 218.575 m 41.5541 213.378 L 42.3965 205.515 L S 1. g 65.1024 286.93 m 70.6579 291.699 L 69.9538 299.972 L F 0 g 65.1024 286.93 m 70.6579 291.699 L 69.9538 299.972 L S 1. g 70.6579 291.699 m 65.1024 286.93 L 65.8325 278.709 L F 0 g 70.6579 291.699 m 65.1024 286.93 L 65.8325 278.709 L S 1. g 88.6464 360.478 m 94.0723 364.824 L 93.4762 373.451 L F 0 g 88.6464 360.478 m 94.0723 364.824 L 93.4762 373.451 L S 1. g 94.0723 364.824 m 88.6464 360.478 L 89.2642 351.903 L F 0 g 94.0723 364.824 m 88.6464 360.478 L 89.2642 351.903 L S 1. g 180.179 241.358 m 177.28 239.877 L 187.756 242.525 L F 0 g 180.179 241.358 m 177.28 239.877 L 187.756 242.525 L S 1. g 187.756 242.525 m 188.974 243.583 L 180.179 241.358 L F 0 g 187.756 242.525 m 188.974 243.583 L 180.179 241.358 L S 1. g 222.666 234.922 m 219.473 237.825 L 209.982 241.445 L F 0 g 222.666 234.922 m 219.473 237.825 L 209.982 241.445 L S 1. g 219.473 237.825 m 222.666 234.922 L 230.662 228.921 L F 0 g 219.473 237.825 m 222.666 234.922 L 230.662 228.921 L S 1. g 233.837 224.467 m 230.662 228.921 L 222.666 234.922 L F 0 g 233.837 224.467 m 230.662 228.921 L 222.666 234.922 L S 1. g 205.096 152.146 m 207.632 151.589 L 215.594 154.915 L F 0 g 205.096 152.146 m 207.632 151.589 L 215.594 154.915 L S 1. g 207.632 151.589 m 205.096 152.146 L 197.977 150.993 L F 0 g 207.632 151.589 m 205.096 152.146 L 197.977 150.993 L S 1. g 176.96 154.038 m 180.308 153.053 L 173.517 157.157 L F 0 g 176.96 154.038 m 180.308 153.053 L 173.517 157.157 L S 1. g 173.517 157.157 m 168.8 158.976 L 176.96 154.038 L F 0 g 173.517 157.157 m 168.8 158.976 L 176.96 154.038 L S 115.668 260.768 m 119.418 259.567 L S 1. g 36.6682 200.236 m 42.3965 205.515 L 41.5541 213.378 L F 0 g 36.6682 200.236 m 42.3965 205.515 L 41.5541 213.378 L S 1. g 42.3965 205.515 m 36.6682 200.236 L 37.5365 192.426 L F 0 g 42.3965 205.515 m 36.6682 200.236 L 37.5365 192.426 L S 1. g 60.2381 273.858 m 65.8325 278.709 L 65.1024 286.93 L F 0 g 60.2381 273.858 m 65.8325 278.709 L 65.1024 286.93 L S 1. g 65.8325 278.709 m 60.2381 273.858 L 60.9941 265.693 L F 0 g 65.8325 278.709 m 60.2381 273.858 L 60.9941 265.693 L S 1. g 83.808 347.479 m 89.2642 351.903 L 88.6464 360.478 L F 0 g 83.808 347.479 m 89.2642 351.903 L 88.6464 360.478 L S 1. g 89.2642 351.903 m 83.808 347.479 L 84.4517 338.96 L F 0 g 89.2642 351.903 m 83.808 347.479 L 84.4517 338.96 L S 1. g 198.392 150.09 m 197.977 150.993 L 190.685 151.381 L F 0 g 198.392 150.09 m 197.977 150.993 L 190.685 151.381 L S 1. g 190.685 151.381 m 188.922 150.6 L 198.392 150.09 L F 0 g 190.685 151.381 m 188.922 150.6 L 198.392 150.09 L S 1. g 151.174 184.637 m 152.656 178.857 L 150.833 188.041 L F 0 g 151.174 184.637 m 152.656 178.857 L 150.833 188.041 L S 1. g 150.833 188.041 m 149.312 194.059 L 151.174 184.637 L F 0 g 150.833 188.041 m 149.312 194.059 L 151.174 184.637 L S 1. g 209.982 241.445 m 207.645 242.676 L 198.452 244.032 L F 0 g 209.982 241.445 m 207.645 242.676 L 198.452 244.032 L S 1. g 207.645 242.676 m 209.982 241.445 L 219.473 237.825 L F 0 g 207.645 242.676 m 209.982 241.445 L 219.473 237.825 L S 1. g 197.977 150.993 m 198.392 150.09 L 207.632 151.589 L F 0 g 197.977 150.993 m 198.392 150.09 L 207.632 151.589 L S 1. g 31.7779 187.069 m 37.5365 192.426 L 36.6682 200.236 L F 0 g 31.7779 187.069 m 37.5365 192.426 L 36.6682 200.236 L S 1. g 37.5365 192.426 m 31.7779 187.069 L 32.6678 179.315 L F 0 g 37.5365 192.426 m 31.7779 187.069 L 32.6678 179.315 L S 1. g 55.3694 260.764 m 60.9941 265.693 L 60.2381 273.858 L F 0 g 55.3694 260.764 m 60.9941 265.693 L 60.2381 273.858 L S 1. g 60.9941 265.693 m 55.3694 260.764 L 56.147 252.651 L F 0 g 60.9941 265.693 m 55.3694 260.764 L 56.147 252.651 L S 1. g 78.961 334.454 m 84.4517 338.96 L 83.808 347.479 L F 0 g 78.961 334.454 m 84.4517 338.96 L 83.808 347.479 L S 1. g 84.4517 338.96 m 78.961 334.454 L 79.6262 325.992 L F 0 g 84.4517 338.96 m 78.961 334.454 L 79.6262 325.992 L S 119.418 259.567 m 123.18 258.366 L S 1. g 230.649 165.296 m 226.411 161.996 L 219.46 156.276 L F 0 g 230.649 165.296 m 226.411 161.996 L 219.46 156.276 L S 1. g 215.594 154.915 m 219.46 156.276 L 226.411 161.996 L F 0 g 215.594 154.915 m 219.46 156.276 L 226.411 161.996 L S 1. g 230.649 165.296 m 233.976 169.495 L 238.408 177.911 L F 0 g 230.649 165.296 m 233.976 169.495 L 238.408 177.911 L S 1. g 240.978 183.388 m 238.408 177.911 L 233.976 169.495 L F 0 g 240.978 183.388 m 238.408 177.911 L 233.976 169.495 L S 1. g 241.013 210.838 m 238.611 216.471 L 233.837 224.467 L F 0 g 241.013 210.838 m 238.611 216.471 L 233.837 224.467 L S 1. g 230.662 228.921 m 233.837 224.467 L 238.611 216.471 L F 0 g 230.662 228.921 m 233.837 224.467 L 238.611 216.471 L S 1. g 152.388 212.207 m 150.085 206.31 L 153.204 215.235 L F 0 g 152.388 212.207 m 150.085 206.31 L 153.204 215.235 L S 1. g 153.204 215.235 m 155.326 220.622 L 152.388 212.207 L F 0 g 153.204 215.235 m 155.326 220.622 L 152.388 212.207 L S 1. g 161.585 165.728 m 164.782 161.853 L 159.041 169.068 L F 0 g 161.585 165.728 m 164.782 161.853 L 159.041 169.068 L S 1. g 159.041 169.068 m 155.304 173.621 L 161.585 165.728 L F 0 g 159.041 169.068 m 155.304 173.621 L 161.585 165.728 L S 1. g 219.46 156.276 m 215.594 154.915 L 207.632 151.589 L F 0 g 219.46 156.276 m 215.594 154.915 L 207.632 151.589 L S 1. g 26.8747 173.876 m 32.6678 179.315 L 31.7779 187.069 L F 0 g 26.8747 173.876 m 32.6678 179.315 L 31.7779 187.069 L S 1. g 32.6678 179.315 m 26.8747 173.876 L 27.7906 166.177 L F 0 g 32.6678 179.315 m 26.8747 173.876 L 27.7906 166.177 L S 1. g 50.4878 247.64 m 56.147 252.651 L 55.3694 260.764 L F 0 g 50.4878 247.64 m 56.147 252.651 L 55.3694 260.764 L S 1. g 56.147 252.651 m 50.4878 247.64 L 51.2914 239.587 L F 0 g 56.147 252.651 m 50.4878 247.64 L 51.2914 239.587 L S 1. g 74.1053 321.404 m 79.6262 325.992 L 78.961 334.454 L F 0 g 74.1053 321.404 m 79.6262 325.992 L 78.961 334.454 L S 1. g 79.6262 325.992 m 74.1053 321.404 L 74.7965 312.993 L F 0 g 79.6262 325.992 m 74.1053 321.404 L 74.7965 312.993 L S 1. g 172.981 237.587 m 168.683 235.371 L 177.28 239.877 L F 0 g 172.981 237.587 m 168.683 235.371 L 177.28 239.877 L S 1. g 177.28 239.877 m 180.179 241.358 L 172.981 237.587 L F 0 g 177.28 239.877 m 180.179 241.358 L 172.981 237.587 L S 1. g 162.89 229.452 m 158.579 225.405 L 165.171 232.14 L F 0 g 162.89 229.452 m 158.579 225.405 L 165.171 232.14 L S 1. g 165.171 232.14 m 168.683 235.371 L 162.89 229.452 L F 0 g 165.171 232.14 m 168.683 235.371 L 162.89 229.452 L S 123.18 258.366 m 126.948 257.157 L S 1. g 242.335 189.285 m 242.434 195.445 L 242.175 204.872 L F 0 g 242.335 189.285 m 242.434 195.445 L 242.175 204.872 L S 1. g 241.013 210.838 m 242.175 204.872 L 242.434 195.445 L F 0 g 241.013 210.838 m 242.175 204.872 L 242.434 195.445 L S 1. g 45.5976 234.494 m 51.2914 239.587 L 50.4878 247.64 L F 0 g 45.5976 234.494 m 51.2914 239.587 L 50.4878 247.64 L S 1. g 51.2914 239.587 m 45.5976 234.494 L 46.427 226.498 L F 0 g 51.2914 239.587 m 45.5976 234.494 L 46.427 226.498 L S 1. g 69.2366 308.327 m 74.7965 312.993 L 74.1053 321.404 L F 0 g 69.2366 308.327 m 74.7965 312.993 L 74.1053 321.404 L S 1. g 74.7965 312.993 m 69.2366 308.327 L 69.9538 299.972 L F 0 g 74.7965 312.993 m 69.2366 308.327 L 69.9538 299.972 L S 126.948 257.157 m 130.732 255.947 L S 1. g 187.332 151.083 m 188.922 150.6 L 180.308 153.053 L F 0 g 187.332 151.083 m 188.922 150.6 L 180.308 153.053 L S 1. g 180.308 153.053 m 176.96 154.038 L 187.332 151.083 L F 0 g 180.308 153.053 m 176.96 154.038 L 187.332 151.083 L S 1. g 40.6987 221.322 m 46.427 226.498 L 45.5976 234.494 L F 0 g 40.6987 221.322 m 46.427 226.498 L 45.5976 234.494 L S 1. g 46.427 226.498 m 40.6987 221.322 L 41.5541 213.378 L F 0 g 46.427 226.498 m 40.6987 221.322 L 41.5541 213.378 L S 1. g 64.3637 295.229 m 69.9538 299.972 L 69.2366 308.327 L F 0 g 64.3637 295.229 m 69.9538 299.972 L 69.2366 308.327 L S 1. g 69.9538 299.972 m 64.3637 295.229 L 65.1024 286.93 L F 0 g 69.9538 299.972 m 64.3637 295.229 L 65.1024 286.93 L S 1. g 93.4762 373.451 m 88.0243 369.135 L 88.6464 360.478 L F 0 g 93.4762 373.451 m 88.0243 369.135 L 88.6464 360.478 L S 1. g 150.924 190.81 m 151.174 184.637 L 149.312 194.059 L F 0 g 150.924 190.81 m 151.174 184.637 L 149.312 194.059 L S 1. g 149.312 194.059 m 149.057 200.202 L 150.924 190.81 L F 0 g 149.312 194.059 m 149.057 200.202 L 150.924 190.81 L S 1. g 219.473 237.825 m 215.603 239.639 L 207.645 242.676 L F 0 g 219.473 237.825 m 215.603 239.639 L 207.645 242.676 L S 1. g 230.662 228.921 m 226.511 232.541 L 219.473 237.825 L F 0 g 230.662 228.921 m 226.511 232.541 L 219.473 237.825 L S 1. g 215.603 239.639 m 219.473 237.825 L 226.511 232.541 L F 0 g 215.603 239.639 m 219.473 237.825 L 226.511 232.541 L S 1. g 174.096 156.22 m 176.96 154.038 L 168.8 158.976 L F 0 g 174.096 156.22 m 176.96 154.038 L 168.8 158.976 L S 1. g 168.8 158.976 m 164.782 161.853 L 174.096 156.22 L F 0 g 168.8 158.976 m 164.782 161.853 L 174.096 156.22 L S 1. g 190.404 243.376 m 188.974 243.583 L 198.452 244.032 L F 0 g 190.404 243.376 m 188.974 243.583 L 198.452 244.032 L S 1. g 198.452 244.032 m 197.796 243.73 L 190.404 243.376 L F 0 g 198.452 244.032 m 197.796 243.73 L 190.404 243.376 L S 1. g 197.796 243.73 m 198.452 244.032 L 207.645 242.676 L F 0 g 197.796 243.73 m 198.452 244.032 L 207.645 242.676 L S 1. g 35.7912 208.12 m 41.5541 213.378 L 40.6987 221.322 L F 0 g 35.7912 208.12 m 41.5541 213.378 L 40.6987 221.322 L S 1. g 41.5541 213.378 m 35.7912 208.12 L 36.6682 200.236 L F 0 g 41.5541 213.378 m 35.7912 208.12 L 36.6682 200.236 L S 1. g 59.4778 282.1 m 65.1024 286.93 L 64.3637 295.229 L F 0 g 59.4778 282.1 m 65.1024 286.93 L 64.3637 295.229 L S 1. g 65.1024 286.93 m 59.4778 282.1 L 60.2381 273.858 L F 0 g 65.1024 286.93 m 59.4778 282.1 L 60.2381 273.858 L S 1. g 83.16 356.08 m 88.6464 360.478 L 88.0243 369.135 L F 0 g 83.16 356.08 m 88.6464 360.478 L 88.0243 369.135 L S 1. g 88.6464 360.478 m 83.16 356.08 L 83.808 347.479 L F 0 g 88.6464 360.478 m 83.16 356.08 L 83.808 347.479 L S 130.732 255.947 m 134.52 254.733 L S 1. g 242.335 189.285 m 240.978 183.388 L 236.287 174.493 L F 0 g 242.335 189.285 m 240.978 183.388 L 236.287 174.493 L S 1. g 233.976 169.495 m 236.287 174.493 L 240.978 183.388 L F 0 g 233.976 169.495 m 236.287 174.493 L 240.978 183.388 L S 1. g 183.548 241.644 m 180.179 241.358 L 188.974 243.583 L F 0 g 183.548 241.644 m 180.179 241.358 L 188.974 243.583 L S 1. g 188.974 243.583 m 190.404 243.376 L 183.548 241.644 L F 0 g 188.974 243.583 m 190.404 243.376 L 183.548 241.644 L S 1. g 207.632 151.589 m 209.883 152.276 L 219.46 156.276 L F 0 g 207.632 151.589 m 209.883 152.276 L 219.46 156.276 L S 1. g 209.883 152.276 m 207.632 151.589 L 198.392 150.09 L F 0 g 209.883 152.276 m 207.632 151.589 L 198.392 150.09 L S 1. g 155.913 217.732 m 152.388 212.207 L 155.326 220.622 L F 0 g 155.913 217.732 m 152.388 212.207 L 155.326 220.622 L S 1. g 155.326 220.622 m 158.579 225.405 L 155.913 217.732 L F 0 g 155.326 220.622 m 158.579 225.405 L 155.913 217.732 L S 1. g 219.46 156.276 m 222.726 158.777 L 230.649 165.296 L F 0 g 219.46 156.276 m 222.726 158.777 L 230.649 165.296 L S 1. g 233.976 169.495 m 230.649 165.296 L 222.726 158.777 L F 0 g 233.976 169.495 m 230.649 165.296 L 222.726 158.777 L S 1. g 30.875 194.897 m 36.6682 200.236 L 35.7912 208.12 L F 0 g 30.875 194.897 m 36.6682 200.236 L 35.7912 208.12 L S 1. g 36.6682 200.236 m 30.875 194.897 L 31.7779 187.069 L F 0 g 36.6682 200.236 m 30.875 194.897 L 31.7779 187.069 L S 1. g 54.5832 268.95 m 60.2381 273.858 L 59.4778 282.1 L F 0 g 54.5832 268.95 m 60.2381 273.858 L 59.4778 282.1 L S 1. g 60.2381 273.858 m 54.5832 268.95 L 55.3694 260.764 L F 0 g 60.2381 273.858 m 54.5832 268.95 L 55.3694 260.764 L S 1. g 78.2914 343.004 m 83.808 347.479 L 83.16 356.08 L F 0 g 78.2914 343.004 m 83.808 347.479 L 83.16 356.08 L S 1. g 83.808 347.479 m 78.2914 343.004 L 78.961 334.454 L F 0 g 83.808 347.479 m 78.2914 343.004 L 78.961 334.454 L S 1. g 226.511 232.541 m 230.662 228.921 L 235.017 221.62 L F 0 g 226.511 232.541 m 230.662 228.921 L 235.017 221.62 L S 1. g 238.611 216.471 m 235.017 221.62 L 230.662 228.921 L F 0 g 238.611 216.471 m 235.017 221.62 L 230.662 228.921 L S 1. g 159.313 170.51 m 161.585 165.728 L 155.304 173.621 L F 0 g 159.313 170.51 m 161.585 165.728 L 155.304 173.621 L S 1. g 155.304 173.621 m 152.656 178.857 L 159.313 170.51 L F 0 g 155.304 173.621 m 152.656 178.857 L 159.313 170.51 L S 1. g 207.645 242.676 m 204.958 242.672 L 197.796 243.73 L F 0 g 207.645 242.676 m 204.958 242.672 L 197.796 243.73 L S 1. g 204.958 242.672 m 207.645 242.676 L 215.603 239.639 L F 0 g 204.958 242.672 m 207.645 242.676 L 215.603 239.639 L S 1. g 198.75 150.47 m 198.392 150.09 L 188.922 150.6 L F 0 g 198.75 150.47 m 198.392 150.09 L 188.922 150.6 L S 1. g 188.922 150.6 m 187.332 151.083 L 198.75 150.47 L F 0 g 188.922 150.6 m 187.332 151.083 L 198.75 150.47 L S 1. g 238.611 216.471 m 241.013 210.838 L 241.255 201.692 L F 0 g 238.611 216.471 m 241.013 210.838 L 241.255 201.692 L S 1. g 242.434 195.445 m 241.255 201.692 L 241.013 210.838 L F 0 g 242.434 195.445 m 241.255 201.692 L 241.013 210.838 L S 134.52 254.733 m 138.326 253.515 L S 1. g 25.9459 181.647 m 31.7779 187.069 L 30.875 194.897 L F 0 g 25.9459 181.647 m 31.7779 187.069 L 30.875 194.897 L S 1. g 31.7779 187.069 m 25.9459 181.647 L 26.8747 173.876 L F 0 g 31.7779 187.069 m 25.9459 181.647 L 26.8747 173.876 L S 1. g 49.6757 255.774 m 55.3694 260.764 L 54.5832 268.95 L F 0 g 49.6757 255.774 m 55.3694 260.764 L 54.5832 268.95 L S 1. g 55.3694 260.764 m 49.6757 255.774 L 50.4878 247.64 L F 0 g 55.3694 260.764 m 49.6757 255.774 L 50.4878 247.64 L S 1. g 73.4098 329.897 m 78.961 334.454 L 78.2914 343.004 L F 0 g 73.4098 329.897 m 78.961 334.454 L 78.2914 343.004 L S 1. g 78.961 334.454 m 73.4098 329.897 L 74.1053 321.404 L F 0 g 78.961 334.454 m 73.4098 329.897 L 74.1053 321.404 L S 1. g 198.392 150.09 m 198.75 150.47 L 209.883 152.276 L F 0 g 198.392 150.09 m 198.75 150.47 L 209.883 152.276 L S 1. g 168.152 232.641 m 162.89 229.452 L 168.683 235.371 L F 0 g 168.152 232.641 m 162.89 229.452 L 168.683 235.371 L S 1. g 168.683 235.371 m 172.981 237.587 L 168.152 232.641 L F 0 g 168.683 235.371 m 172.981 237.587 L 168.152 232.641 L S 1. g 222.726 158.777 m 219.46 156.276 L 209.883 152.276 L F 0 g 222.726 158.777 m 219.46 156.276 L 209.883 152.276 L S 1. g 332.264 229.206 m 333.063 221.564 L 345.911 222.199 L F 0 g 332.264 229.206 m 333.063 221.564 L 345.911 222.199 L S 1. g 345.911 222.199 m 346.334 229.897 L 332.264 229.206 L F 0 g 345.911 222.199 m 346.334 229.897 L 332.264 229.206 L S 1. g 345.54 214.432 m 345.911 222.199 L 333.063 221.564 L F 0 g 345.54 214.432 m 345.911 222.199 L 333.063 221.564 L S 1. g 346.334 229.897 m 345.911 222.199 L 358.793 220.294 L F 0 g 346.334 229.897 m 345.911 222.199 L 358.793 220.294 L S 1. g 345.911 222.199 m 345.54 214.432 L 356.858 212.747 L F 0 g 345.911 222.199 m 345.54 214.432 L 356.858 212.747 L S 1. g 356.858 212.747 m 358.793 220.294 L 345.911 222.199 L F 0 g 356.858 212.747 m 358.793 220.294 L 345.911 222.199 L S 1. g 333.063 221.564 m 334.243 213.87 L 345.54 214.432 L F 0 g 333.063 221.564 m 334.243 213.87 L 345.54 214.432 L S 1. g 345.22 206.785 m 345.54 214.432 L 334.243 213.87 L F 0 g 345.22 206.785 m 345.54 214.432 L 334.243 213.87 L S 1. g 345.54 214.432 m 345.22 206.785 L 354.681 205.364 L F 0 g 345.54 214.432 m 345.22 206.785 L 354.681 205.364 L S 1. g 354.681 205.364 m 356.858 212.747 L 345.54 214.432 L F 0 g 354.681 205.364 m 356.858 212.747 L 345.54 214.432 L S 1. g 44.7638 242.568 m 50.4878 247.64 L 49.6757 255.774 L F 0 g 44.7638 242.568 m 50.4878 247.64 L 49.6757 255.774 L S 1. g 50.4878 247.64 m 44.7638 242.568 L 45.5976 234.494 L F 0 g 50.4878 247.64 m 44.7638 242.568 L 45.5976 234.494 L S 1. g 68.5195 316.764 m 74.1053 321.404 L 73.4098 329.897 L F 0 g 68.5195 316.764 m 74.1053 321.404 L 73.4098 329.897 L S 1. g 74.1053 321.404 m 68.5195 316.764 L 69.2366 308.327 L F 0 g 74.1053 321.404 m 68.5195 316.764 L 69.2366 308.327 L S 1. g 151.917 197.199 m 150.924 190.81 L 149.057 200.202 L F 0 g 151.917 197.199 m 150.924 190.81 L 149.057 200.202 L S 1. g 149.057 200.202 m 150.085 206.31 L 151.917 197.199 L F 0 g 149.057 200.202 m 150.085 206.31 L 151.917 197.199 L S 1. g 177.958 238.71 m 172.981 237.587 L 180.179 241.358 L F 0 g 177.958 238.71 m 172.981 237.587 L 180.179 241.358 L S 1. g 180.179 241.358 m 183.548 241.644 L 177.958 238.71 L F 0 g 180.179 241.358 m 183.548 241.644 L 177.958 238.71 L S 138.326 253.515 m 142.137 252.297 L S 1. g 319.632 225.824 m 321.533 218.449 L 333.063 221.564 L F 0 g 319.632 225.824 m 321.533 218.449 L 333.063 221.564 L S 1. g 333.063 221.564 m 332.264 229.206 L 319.632 225.824 L F 0 g 333.063 221.564 m 332.264 229.206 L 319.632 225.824 L S 1. g 334.243 213.87 m 333.063 221.564 L 321.533 218.449 L F 0 g 334.243 213.87 m 333.063 221.564 L 321.533 218.449 L S 1. g 321.533 218.449 m 324.121 211.11 L 334.243 213.87 L F 0 g 321.533 218.449 m 324.121 211.11 L 334.243 213.87 L S 1. g 335.781 206.31 m 334.243 213.87 L 324.121 211.11 L F 0 g 335.781 206.31 m 334.243 213.87 L 324.121 211.11 L S 1. g 334.243 213.87 m 335.781 206.31 L 345.22 206.785 L F 0 g 334.243 213.87 m 335.781 206.31 L 345.22 206.785 L S 1. g 331.871 236.615 m 332.264 229.206 L 346.334 229.897 L F 0 g 331.871 236.615 m 332.264 229.206 L 346.334 229.897 L S 1. g 346.334 229.897 m 346.792 237.341 L 331.871 236.615 L F 0 g 346.334 229.897 m 346.792 237.341 L 331.871 236.615 L S 1. g 346.792 237.341 m 346.334 229.897 L 360.439 227.832 L F 0 g 346.792 237.341 m 346.334 229.897 L 360.439 227.832 L S 1. g 358.793 220.294 m 360.439 227.832 L 346.334 229.897 L F 0 g 358.793 220.294 m 360.439 227.832 L 346.334 229.897 L S 1. g 39.839 229.34 m 45.5976 234.494 L 44.7638 242.568 L F 0 g 39.839 229.34 m 45.5976 234.494 L 44.7638 242.568 L S 1. g 45.5976 234.494 m 39.839 229.34 L 40.6987 221.322 L F 0 g 45.5976 234.494 m 39.839 229.34 L 40.6987 221.322 L S 1. g 63.6163 303.61 m 69.2366 308.327 L 68.5195 316.764 L F 0 g 63.6163 303.61 m 69.2366 308.327 L 68.5195 316.764 L S 1. g 69.2366 308.327 m 63.6163 303.61 L 64.3637 295.229 L F 0 g 69.2366 308.327 m 63.6163 303.61 L 64.3637 295.229 L S 1. g 344.969 199.446 m 345.22 206.785 L 335.781 206.31 L F 0 g 344.969 199.446 m 345.22 206.785 L 335.781 206.31 L S 1. g 345.22 206.785 m 344.969 199.446 L 352.313 198.331 L F 0 g 345.22 206.785 m 344.969 199.446 L 352.313 198.331 L S 1. g 352.313 198.331 m 354.681 205.364 L 345.22 206.785 L F 0 g 352.313 198.331 m 354.681 205.364 L 345.22 206.785 L S 1. g 318.47 233.055 m 319.632 225.824 L 332.264 229.206 L F 0 g 318.47 233.055 m 319.632 225.824 L 332.264 229.206 L S 1. g 332.264 229.206 m 331.871 236.615 L 318.47 233.055 L F 0 g 332.264 229.206 m 331.871 236.615 L 318.47 233.055 L S 1. g 242.434 195.445 m 242.335 189.285 L 237.509 180.161 L F 0 g 242.434 195.445 m 242.335 189.285 L 237.509 180.161 L S 1. g 236.287 174.493 m 237.509 180.161 L 242.335 189.285 L F 0 g 236.287 174.493 m 237.509 180.161 L 242.335 189.285 L S 1. g 324.121 211.11 m 327.331 203.986 L 335.781 206.31 L F 0 g 324.121 211.11 m 327.331 203.986 L 335.781 206.31 L S 1. g 337.638 199.074 m 335.781 206.31 L 327.331 203.986 L F 0 g 337.638 199.074 m 335.781 206.31 L 327.331 203.986 L S 1. g 335.781 206.31 m 337.638 199.074 L 344.969 199.446 L F 0 g 335.781 206.31 m 337.638 199.074 L 344.969 199.446 L S 1. g 358.793 220.294 m 356.858 212.747 L 367.049 208.967 L F 0 g 358.793 220.294 m 356.858 212.747 L 367.049 208.967 L S 1. g 356.858 212.747 m 354.681 205.364 L 363.182 202.185 L F 0 g 356.858 212.747 m 354.681 205.364 L 363.182 202.185 L S 1. g 363.182 202.185 m 367.049 208.967 L 356.858 212.747 L F 0 g 363.182 202.185 m 367.049 208.967 L 356.858 212.747 L S 1. g 171.811 159.559 m 174.096 156.22 L 164.782 161.853 L F 0 g 171.811 159.559 m 174.096 156.22 L 164.782 161.853 L S 1. g 164.782 161.853 m 161.585 165.728 L 171.811 159.559 L F 0 g 164.782 161.853 m 161.585 165.728 L 171.811 159.559 L S 142.137 252.297 m 145.964 251.07 L S 1. g 360.439 227.832 m 358.793 220.294 L 370.41 216.03 L F 0 g 360.439 227.832 m 358.793 220.294 L 370.41 216.03 L S 1. g 367.049 208.967 m 370.41 216.03 L 358.793 220.294 L F 0 g 367.049 208.967 m 370.41 216.03 L 358.793 220.294 L S 1. g 185.963 152.846 m 187.332 151.083 L 176.96 154.038 L F 0 g 185.963 152.846 m 187.332 151.083 L 176.96 154.038 L S 1. g 176.96 154.038 m 174.096 156.22 L 185.963 152.846 L F 0 g 176.96 154.038 m 174.096 156.22 L 185.963 152.846 L S 1. g 34.9056 216.086 m 40.6987 221.322 L 39.839 229.34 L F 0 g 34.9056 216.086 m 40.6987 221.322 L 39.839 229.34 L S 1. g 40.6987 221.322 m 34.9056 216.086 L 35.7912 208.12 L F 0 g 40.6987 221.322 m 34.9056 216.086 L 35.7912 208.12 L S 1. g 58.7088 290.425 m 64.3637 295.229 L 63.6163 303.61 L F 0 g 58.7088 290.425 m 64.3637 295.229 L 63.6163 303.61 L S 1. g 64.3637 295.229 m 58.7088 290.425 L 59.4778 282.1 L F 0 g 64.3637 295.229 m 58.7088 290.425 L 59.4778 282.1 L S 1. g 88.0243 369.135 m 82.5077 364.768 L 83.16 356.08 L F 0 g 88.0243 369.135 m 82.5077 364.768 L 83.16 356.08 L S 1. g 215.603 239.639 m 211.149 240.304 L 204.958 242.672 L F 0 g 215.603 239.639 m 211.149 240.304 L 204.958 242.672 L S 1. g 211.149 240.304 m 215.603 239.639 L 221.482 235.22 L F 0 g 211.149 240.304 m 215.603 239.639 L 221.482 235.22 L S 1. g 226.511 232.541 m 221.482 235.22 L 215.603 239.639 L F 0 g 226.511 232.541 m 221.482 235.22 L 215.603 239.639 L S 1. g 160.574 222.718 m 155.913 217.732 L 158.579 225.405 L F 0 g 160.574 222.718 m 155.913 217.732 L 158.579 225.405 L S 1. g 158.579 225.405 m 162.89 229.452 L 160.574 222.718 L F 0 g 158.579 225.405 m 162.89 229.452 L 160.574 222.718 L S 1. g 158.034 176.075 m 159.313 170.51 L 152.656 178.857 L F 0 g 158.034 176.075 m 159.313 170.51 L 152.656 178.857 L S 1. g 152.656 178.857 m 151.174 184.637 L 158.034 176.075 L F 0 g 152.656 178.857 m 151.174 184.637 L 158.034 176.075 L S 1. g 331.897 243.605 m 331.871 236.615 L 346.792 237.341 L F 0 g 331.897 243.605 m 331.871 236.615 L 346.792 237.341 L S 1. g 346.792 237.341 m 347.28 244.348 L 331.897 243.605 L F 0 g 346.792 237.341 m 347.28 244.348 L 331.897 243.605 L S 1. g 347.28 244.348 m 346.792 237.341 L 361.757 235.168 L F 0 g 347.28 244.348 m 346.792 237.341 L 361.757 235.168 L S 1. g 360.439 227.832 m 361.757 235.168 L 346.792 237.341 L F 0 g 360.439 227.832 m 361.757 235.168 L 346.792 237.341 L S 1. g 354.681 205.364 m 352.313 198.331 L 358.901 195.847 L F 0 g 354.681 205.364 m 352.313 198.331 L 358.901 195.847 L S 1. g 358.901 195.847 m 363.182 202.185 L 354.681 205.364 L F 0 g 358.901 195.847 m 363.182 202.185 L 354.681 205.364 L S 1. g 236.287 174.493 m 233.976 169.495 L 225.288 162.363 L F 0 g 236.287 174.493 m 233.976 169.495 L 225.288 162.363 L S 1. g 222.726 158.777 m 225.288 162.363 L 233.976 169.495 L F 0 g 222.726 158.777 m 225.288 162.363 L 233.976 169.495 L S 1. g 235.017 221.62 m 238.611 216.471 L 238.814 207.861 L F 0 g 235.017 221.62 m 238.611 216.471 L 238.814 207.861 L S 1. g 241.255 201.692 m 238.814 207.861 L 238.611 216.471 L F 0 g 241.255 201.692 m 238.814 207.861 L 238.611 216.471 L S 1. g 221.482 235.22 m 226.511 232.541 L 230.321 226.13 L F 0 g 221.482 235.22 m 226.511 232.541 L 230.321 226.13 L S 1. g 235.017 221.62 m 230.321 226.13 L 226.511 232.541 L F 0 g 235.017 221.62 m 230.321 226.13 L 226.511 232.541 L S 1. g 361.757 235.168 m 360.439 227.832 L 373.175 223.197 L F 0 g 361.757 235.168 m 360.439 227.832 L 373.175 223.197 L S 1. g 370.41 216.03 m 373.175 223.197 L 360.439 227.832 L F 0 g 370.41 216.03 m 373.175 223.197 L 360.439 227.832 L S 1. g 29.9635 202.802 m 35.7912 208.12 L 34.9056 216.086 L F 0 g 29.9635 202.802 m 35.7912 208.12 L 34.9056 216.086 L S 1. g 35.7912 208.12 m 29.9635 202.802 L 30.875 194.897 L F 0 g 35.7912 208.12 m 29.9635 202.802 L 30.875 194.897 L S 1. g 53.7883 277.219 m 59.4778 282.1 L 58.7088 290.425 L F 0 g 53.7883 277.219 m 59.4778 282.1 L 58.7088 290.425 L S 1. g 59.4778 282.1 m 53.7883 277.219 L 54.5832 268.95 L F 0 g 59.4778 282.1 m 53.7883 277.219 L 54.5832 268.95 L S 1. g 77.6131 351.635 m 83.16 356.08 L 82.5077 364.768 L F 0 g 77.6131 351.635 m 83.16 356.08 L 82.5077 364.768 L S 1. g 83.16 356.08 m 77.6131 351.635 L 78.2914 343.004 L F 0 g 83.16 356.08 m 77.6131 351.635 L 78.2914 343.004 L S 145.964 251.07 m 149.796 249.843 L S 1. g 318.077 239.967 m 318.47 233.055 L 331.871 236.615 L F 0 g 318.077 239.967 m 318.47 233.055 L 331.871 236.615 L S 1. g 331.871 236.615 m 331.897 243.605 L 318.077 239.967 L F 0 g 331.871 236.615 m 331.897 243.605 L 318.077 239.967 L S 1. g 344.792 192.59 m 344.969 199.446 L 337.638 199.074 L F 0 g 344.792 192.59 m 344.969 199.446 L 337.638 199.074 L S 1. g 344.969 199.446 m 344.792 192.59 L 349.812 191.821 L F 0 g 344.969 199.446 m 344.792 192.59 L 349.812 191.821 L S 1. g 349.812 191.821 m 352.313 198.331 L 344.969 199.446 L F 0 g 349.812 191.821 m 352.313 198.331 L 344.969 199.446 L S 1. g 312.509 213.144 m 316.211 206.414 L 324.121 211.11 L F 0 g 312.509 213.144 m 316.211 206.414 L 324.121 211.11 L S 1. g 324.121 211.11 m 321.533 218.449 L 312.509 213.144 L F 0 g 324.121 211.11 m 321.533 218.449 L 312.509 213.144 L S 1. g 327.331 203.986 m 324.121 211.11 L 316.211 206.414 L F 0 g 327.331 203.986 m 324.121 211.11 L 316.211 206.414 L S 1. g 192.002 241.89 m 190.404 243.376 L 197.796 243.73 L F 0 g 192.002 241.89 m 190.404 243.376 L 197.796 243.73 L S 1. g 197.796 243.73 m 197.078 242.136 L 192.002 241.89 L F 0 g 197.796 243.73 m 197.078 242.136 L 192.002 241.89 L S 1. g 197.078 242.136 m 197.796 243.73 L 204.958 242.672 L F 0 g 197.078 242.136 m 197.796 243.73 L 204.958 242.672 L S 1. g 327.331 203.986 m 331.085 197.256 L 337.638 199.074 L F 0 g 327.331 203.986 m 331.085 197.256 L 337.638 199.074 L S 1. g 339.777 192.335 m 337.638 199.074 L 331.085 197.256 L F 0 g 339.777 192.335 m 337.638 199.074 L 331.085 197.256 L S 1. g 337.638 199.074 m 339.777 192.335 L 344.792 192.59 L F 0 g 337.638 199.074 m 339.777 192.335 L 344.792 192.59 L S 1. g 209.883 152.276 m 211.779 154.207 L 222.726 158.777 L F 0 g 209.883 152.276 m 211.779 154.207 L 222.726 158.777 L S 1. g 211.779 154.207 m 209.883 152.276 L 198.75 150.47 L F 0 g 211.779 154.207 m 209.883 152.276 L 198.75 150.47 L S 1. g 154.146 203.632 m 151.917 197.199 L 150.085 206.31 L F 0 g 154.146 203.632 m 151.917 197.199 L 150.085 206.31 L S 1. g 150.085 206.31 m 152.388 212.207 L 154.146 203.632 L F 0 g 150.085 206.31 m 152.388 212.207 L 154.146 203.632 L S 1. g 309.731 220.061 m 312.509 213.144 L 321.533 218.449 L F 0 g 309.731 220.061 m 312.509 213.144 L 321.533 218.449 L S 1. g 321.533 218.449 m 319.632 225.824 L 309.731 220.061 L F 0 g 321.533 218.449 m 319.632 225.824 L 309.731 220.061 L S 1. g 187.302 240.702 m 183.548 241.644 L 190.404 243.376 L F 0 g 187.302 240.702 m 183.548 241.644 L 190.404 243.376 L S 1. g 190.404 243.376 m 192.002 241.89 L 187.302 240.702 L F 0 g 190.404 243.376 m 192.002 241.89 L 187.302 240.702 L S 1. g 25.0085 189.497 m 30.875 194.897 L 29.9635 202.802 L F 0 g 25.0085 189.497 m 30.875 194.897 L 29.9635 202.802 L S 1. g 30.875 194.897 m 25.0085 189.497 L 25.9459 181.647 L F 0 g 30.875 194.897 m 25.0085 189.497 L 25.9459 181.647 L S 1. g 48.8592 263.982 m 54.5832 268.95 L 53.7883 277.219 L F 0 g 48.8592 263.982 m 54.5832 268.95 L 53.7883 277.219 L S 1. g 54.5832 268.95 m 48.8592 263.982 L 49.6757 255.774 L F 0 g 54.5832 268.95 m 48.8592 263.982 L 49.6757 255.774 L S 1. g 72.7056 338.472 m 78.2914 343.004 L 77.6131 351.635 L F 0 g 72.7056 338.472 m 78.2914 343.004 L 77.6131 351.635 L S 1. g 78.2914 343.004 m 72.7056 338.472 L 73.4098 329.897 L F 0 g 78.2914 343.004 m 72.7056 338.472 L 73.4098 329.897 L S 1. g 316.211 206.414 m 320.743 200.038 L 327.331 203.986 L F 0 g 316.211 206.414 m 320.743 200.038 L 327.331 203.986 L S 1. g 331.085 197.256 m 327.331 203.986 L 320.743 200.038 L F 0 g 331.085 197.256 m 327.331 203.986 L 320.743 200.038 L S 1. g 174.221 234.865 m 168.152 232.641 L 172.981 237.587 L F 0 g 174.221 234.865 m 168.152 232.641 L 172.981 237.587 L S 1. g 172.981 237.587 m 177.958 238.71 L 174.221 234.865 L F 0 g 172.981 237.587 m 177.958 238.71 L 174.221 234.865 L S 1. g 352.313 198.331 m 349.812 191.821 L 354.313 190.11 L F 0 g 352.313 198.331 m 349.812 191.821 L 354.313 190.11 L S 1. g 354.313 190.11 m 358.901 195.847 L 352.313 198.331 L F 0 g 354.313 190.11 m 358.901 195.847 L 352.313 198.331 L S 149.796 249.843 m 153.645 248.612 L S 1. g 204.958 242.672 m 201.995 241.406 L 197.078 242.136 L F 0 g 204.958 242.672 m 201.995 241.406 L 197.078 242.136 L S 1. g 201.995 241.406 m 204.958 242.672 L 211.149 240.304 L F 0 g 201.995 241.406 m 204.958 242.672 L 211.149 240.304 L S 1. g 43.9171 250.724 m 49.6757 255.774 L 48.8592 263.982 L F 0 g 43.9171 250.724 m 49.6757 255.774 L 48.8592 263.982 L S 1. g 49.6757 255.774 m 43.9171 250.724 L 44.7638 242.568 L F 0 g 49.6757 255.774 m 43.9171 250.724 L 44.7638 242.568 L S 1. g 67.7894 325.287 m 73.4098 329.897 L 72.7056 338.472 L F 0 g 67.7894 325.287 m 73.4098 329.897 L 72.7056 338.472 L S 1. g 73.4098 329.897 m 67.7894 325.287 L 68.5195 316.764 L F 0 g 73.4098 329.897 m 67.7894 325.287 L 68.5195 316.764 L S 1. g 361.757 235.168 m 362.712 242.127 L 347.28 244.348 L F 0 g 361.757 235.168 m 362.712 242.127 L 347.28 244.348 L S 1. g 362.712 242.127 m 361.757 235.168 L 375.278 230.291 L F 0 g 362.712 242.127 m 361.757 235.168 L 375.278 230.291 L S 1. g 373.175 223.197 m 375.278 230.291 L 361.757 235.168 L F 0 g 373.175 223.197 m 375.278 230.291 L 361.757 235.168 L S 1. g 225.288 162.363 m 222.726 158.777 L 211.779 154.207 L F 0 g 225.288 162.363 m 222.726 158.777 L 211.779 154.207 L S 1. g 199.031 152.146 m 198.75 150.47 L 187.332 151.083 L F 0 g 199.031 152.146 m 198.75 150.47 L 187.332 151.083 L S 1. g 187.332 151.083 m 185.963 152.846 L 199.031 152.146 L F 0 g 187.332 151.083 m 185.963 152.846 L 199.031 152.146 L S 1. g 307.951 226.99 m 309.731 220.061 L 319.632 225.824 L F 0 g 307.951 226.99 m 309.731 220.061 L 319.632 225.824 L S 1. g 319.632 225.824 m 318.47 233.055 L 307.951 226.99 L F 0 g 319.632 225.824 m 318.47 233.055 L 307.951 226.99 L S 1. g 241.255 201.692 m 242.434 195.445 L 237.591 186.348 L F 0 g 241.255 201.692 m 242.434 195.445 L 237.591 186.348 L S 1. g 237.509 180.161 m 237.591 186.348 L 242.434 195.445 L F 0 g 237.509 180.161 m 237.591 186.348 L 242.434 195.445 L S 1. g 332.338 250.003 m 331.897 243.605 L 347.28 244.348 L F 0 g 332.338 250.003 m 331.897 243.605 L 347.28 244.348 L S 1. g 347.28 244.348 m 347.782 250.741 L 332.338 250.003 L F 0 g 347.28 244.348 m 347.782 250.741 L 332.338 250.003 L S 1. g 347.782 250.741 m 347.28 244.348 L 362.712 242.127 L F 0 g 347.782 250.741 m 347.28 244.348 L 362.712 242.127 L S 1. g 198.75 150.47 m 199.031 152.146 L 211.779 154.207 L F 0 g 198.75 150.47 m 199.031 152.146 L 211.779 154.207 L S 1. g 320.743 200.038 m 325.987 194.167 L 331.085 197.256 L F 0 g 320.743 200.038 m 325.987 194.167 L 331.085 197.256 L S 1. g 335.292 191.078 m 331.085 197.256 L 325.987 194.167 L F 0 g 335.292 191.078 m 331.085 197.256 L 325.987 194.167 L S 1. g 331.085 197.256 m 335.292 191.078 L 339.777 192.335 L F 0 g 331.085 197.256 m 335.292 191.078 L 339.777 192.335 L S 1. g 38.9707 237.436 m 44.7638 242.568 L 43.9171 250.724 L F 0 g 38.9707 237.436 m 44.7638 242.568 L 43.9171 250.724 L S 1. g 44.7638 242.568 m 38.9707 237.436 L 39.839 229.34 L F 0 g 44.7638 242.568 m 38.9707 237.436 L 39.839 229.34 L S 1. g 62.8646 312.072 m 68.5195 316.764 L 67.7894 325.287 L F 0 g 62.8646 312.072 m 68.5195 316.764 L 67.7894 325.287 L S 1. g 68.5195 316.764 m 62.8646 312.072 L 63.6163 303.61 L F 0 g 68.5195 316.764 m 62.8646 312.072 L 63.6163 303.61 L S 1. g 370.41 216.03 m 367.049 208.967 L 375.054 203.463 L F 0 g 370.41 216.03 m 367.049 208.967 L 375.054 203.463 L S 1. g 367.049 208.967 m 363.182 202.185 L 369.84 197.558 L F 0 g 367.049 208.967 m 363.182 202.185 L 369.84 197.558 L S 1. g 369.84 197.558 m 375.054 203.463 L 367.049 208.967 L F 0 g 369.84 197.558 m 375.054 203.463 L 367.049 208.967 L S 1. g 183.479 238.689 m 177.958 238.71 L 183.548 241.644 L F 0 g 183.479 238.689 m 177.958 238.71 L 183.548 241.644 L S 1. g 183.548 241.644 m 187.302 240.702 L 183.479 238.689 L F 0 g 183.548 241.644 m 187.302 240.702 L 183.479 238.689 L S 153.645 248.612 m 157.499 247.376 L S 1. g 363.182 202.185 m 358.901 195.847 L 364.046 192.236 L F 0 g 363.182 202.185 m 358.901 195.847 L 364.046 192.236 L S 1. g 364.046 192.236 m 369.84 197.558 L 363.182 202.185 L F 0 g 364.046 192.236 m 369.84 197.558 L 363.182 202.185 L S 1. g 318.466 246.374 m 318.077 239.967 L 331.897 243.605 L F 0 g 318.466 246.374 m 318.077 239.967 L 331.897 243.605 L S 1. g 331.897 243.605 m 332.338 250.003 L 318.466 246.374 L F 0 g 331.897 243.605 m 332.338 250.003 L 318.466 246.374 L S 1. g 166.242 227.025 m 160.574 222.718 L 162.89 229.452 L F 0 g 166.242 227.025 m 160.574 222.718 L 162.89 229.452 L S 1. g 162.89 229.452 m 168.152 232.641 L 166.242 227.025 L F 0 g 162.89 229.452 m 168.152 232.641 L 166.242 227.025 L S 1. g 157.805 182.269 m 158.034 176.075 L 151.174 184.637 L F 0 g 157.805 182.269 m 158.034 176.075 L 151.174 184.637 L S 1. g 151.174 184.637 m 150.924 190.81 L 157.805 182.269 L F 0 g 151.174 184.637 m 150.924 190.81 L 157.805 182.269 L S 1. g 230.321 226.13 m 235.017 221.62 L 235.172 213.771 L F 0 g 230.321 226.13 m 235.017 221.62 L 235.172 213.771 L S 1. g 238.814 207.861 m 235.172 213.771 L 235.017 221.62 L F 0 g 238.814 207.861 m 235.172 213.771 L 235.017 221.62 L S 1. g 344.688 186.395 m 344.792 192.59 L 339.777 192.335 L F 0 g 344.688 186.395 m 344.792 192.59 L 339.777 192.335 L S 1. g 344.792 192.59 m 344.688 186.395 L 347.246 186.002 L F 0 g 344.792 192.59 m 344.688 186.395 L 347.246 186.002 L S 1. g 347.246 186.002 m 349.812 191.821 L 344.792 192.59 L F 0 g 347.246 186.002 m 349.812 191.821 L 344.792 192.59 L S 1. g 373.175 223.197 m 370.41 216.03 L 379.551 209.805 L F 0 g 373.175 223.197 m 370.41 216.03 L 379.551 209.805 L S 1. g 375.054 203.463 m 379.551 209.805 L 370.41 216.03 L F 0 g 375.054 203.463 m 379.551 209.805 L 370.41 216.03 L S 1. g 170.173 163.979 m 171.811 159.559 L 161.585 165.728 L F 0 g 170.173 163.979 m 171.811 159.559 L 161.585 165.728 L S 1. g 161.585 165.728 m 159.313 170.51 L 170.173 163.979 L F 0 g 161.585 165.728 m 159.313 170.51 L 170.173 163.979 L S 1. g 342.135 186.265 m 339.777 192.335 L 335.292 191.078 L F 0 g 342.135 186.265 m 339.777 192.335 L 335.292 191.078 L S 1. g 339.777 192.335 m 342.135 186.265 L 344.688 186.395 L F 0 g 339.777 192.335 m 342.135 186.265 L 344.688 186.395 L S 1. g 34.0114 224.126 m 39.839 229.34 L 38.9707 237.436 L F 0 g 34.0114 224.126 m 39.839 229.34 L 38.9707 237.436 L S 1. g 39.839 229.34 m 34.0114 224.126 L 34.9056 216.086 L F 0 g 39.839 229.34 m 34.0114 224.126 L 34.9056 216.086 L S 1. g 57.9312 298.832 m 63.6163 303.61 L 62.8646 312.072 L F 0 g 57.9312 298.832 m 63.6163 303.61 L 62.8646 312.072 L S 1. g 63.6163 303.61 m 57.9312 298.832 L 58.7088 290.425 L F 0 g 63.6163 303.61 m 57.9312 298.832 L 58.7088 290.425 L S 1. g 237.509 180.161 m 236.287 174.493 L 227.068 166.946 L F 0 g 237.509 180.161 m 236.287 174.493 L 227.068 166.946 L S 1. g 225.288 162.363 m 227.068 166.946 L 236.287 174.493 L F 0 g 225.288 162.363 m 227.068 166.946 L 236.287 174.493 L S 1. g 221.482 235.22 m 215.711 236.87 L 211.149 240.304 L F 0 g 221.482 235.22 m 215.711 236.87 L 211.149 240.304 L S 1. g 215.711 236.87 m 221.482 235.22 L 224.644 229.867 L F 0 g 215.711 236.87 m 221.482 235.22 L 224.644 229.867 L S 1. g 230.321 226.13 m 224.644 229.867 L 221.482 235.22 L F 0 g 230.321 226.13 m 224.644 229.867 L 221.482 235.22 L S 1. g 358.901 195.847 m 354.313 190.11 L 357.813 187.631 L F 0 g 358.901 195.847 m 354.313 190.11 L 357.813 187.631 L S 1. g 357.813 187.631 m 364.046 192.236 L 358.901 195.847 L F 0 g 357.813 187.631 m 364.046 192.236 L 358.901 195.847 L S 1. g 307.225 233.755 m 307.951 226.99 L 318.47 233.055 L F 0 g 307.225 233.755 m 307.951 226.99 L 318.47 233.055 L S 1. g 318.47 233.055 m 318.077 239.967 L 307.225 233.755 L F 0 g 318.47 233.055 m 318.077 239.967 L 307.225 233.755 L S 1. g 349.812 191.821 m 347.246 186.002 L 349.531 185.125 L F 0 g 349.812 191.821 m 347.246 186.002 L 349.531 185.125 L S 1. g 349.531 185.125 m 354.313 190.11 L 349.812 191.821 L F 0 g 349.531 185.125 m 354.313 190.11 L 349.812 191.821 L S 1. g 157.555 209.922 m 154.146 203.632 L 152.388 212.207 L F 0 g 157.555 209.922 m 154.146 203.632 L 152.388 212.207 L S 1. g 152.388 212.207 m 155.913 217.732 L 157.555 209.922 L F 0 g 152.388 212.207 m 155.913 217.732 L 157.555 209.922 L S 1. g 211.149 240.304 m 206.232 239.782 L 201.995 241.406 L F 0 g 211.149 240.304 m 206.232 239.782 L 201.995 241.406 L S 1. g 206.232 239.782 m 211.149 240.304 L 215.711 236.87 L F 0 g 206.232 239.782 m 211.149 240.304 L 215.711 236.87 L S 157.499 247.376 m 161.369 246.136 L S 1. g 184.857 155.857 m 185.963 152.846 L 174.096 156.22 L F 0 g 184.857 155.857 m 185.963 152.846 L 174.096 156.22 L S 1. g 174.096 156.22 m 171.811 159.559 L 184.857 155.857 L F 0 g 174.096 156.22 m 171.811 159.559 L 184.857 155.857 L S 1. g 29.0434 210.786 m 34.9056 216.086 L 34.0114 224.126 L F 0 g 29.0434 210.786 m 34.9056 216.086 L 34.0114 224.126 L S 1. g 34.9056 216.086 m 29.0434 210.786 L 29.9635 202.802 L F 0 g 34.9056 216.086 m 29.0434 210.786 L 29.9635 202.802 L S 1. g 52.9848 285.569 m 58.7088 290.425 L 57.9312 298.832 L F 0 g 52.9848 285.569 m 58.7088 290.425 L 57.9312 298.832 L S 1. g 58.7088 290.425 m 52.9848 285.569 L 53.7883 277.219 L F 0 g 58.7088 290.425 m 52.9848 285.569 L 53.7883 277.219 L S 1. g 82.5077 364.768 m 76.9262 360.348 L 77.6131 351.635 L F 0 g 82.5077 364.768 m 76.9262 360.348 L 77.6131 351.635 L S 1. g 362.712 242.127 m 363.277 248.53 L 347.782 250.741 L F 0 g 362.712 242.127 m 363.277 248.53 L 347.782 250.741 L S 1. g 363.277 248.53 m 362.712 242.127 L 376.661 237.138 L F 0 g 363.277 248.53 m 362.712 242.127 L 376.661 237.138 L S 1. g 375.278 230.291 m 376.661 237.138 L 362.712 242.127 L F 0 g 375.278 230.291 m 376.661 237.138 L 362.712 242.127 L S 1. g 375.278 230.291 m 373.175 223.197 L 383.223 216.428 L F 0 g 375.278 230.291 m 373.175 223.197 L 383.223 216.428 L S 1. g 379.551 209.805 m 383.223 216.428 L 373.175 223.197 L F 0 g 379.551 209.805 m 383.223 216.428 L 373.175 223.197 L S 1. g 325.987 194.167 m 331.824 188.957 L 335.292 191.078 L F 0 g 325.987 194.167 m 331.824 188.957 L 335.292 191.078 L S 1. g 339.859 185.622 m 335.292 191.078 L 331.824 188.957 L F 0 g 339.859 185.622 m 335.292 191.078 L 331.824 188.957 L S 1. g 335.292 191.078 m 339.859 185.622 L 342.135 186.265 L F 0 g 335.292 191.078 m 339.859 185.622 L 342.135 186.265 L S 1. g 311.368 200.241 m 316.729 194.854 L 320.743 200.038 L F 0 g 311.368 200.241 m 316.729 194.854 L 320.743 200.038 L S 1. g 320.743 200.038 m 316.211 206.414 L 311.368 200.241 L F 0 g 320.743 200.038 m 316.211 206.414 L 311.368 200.241 L S 1. g 325.987 194.167 m 320.743 200.038 L 316.729 194.854 L F 0 g 325.987 194.167 m 320.743 200.038 L 316.729 194.854 L S 1. g 306.962 206.159 m 311.368 200.241 L 316.211 206.414 L F 0 g 306.962 206.159 m 311.368 200.241 L 316.211 206.414 L S 1. g 316.211 206.414 m 312.509 213.144 L 306.962 206.159 L F 0 g 316.211 206.414 m 312.509 213.144 L 306.962 206.159 L S 1. g 24.0624 197.42 m 29.9635 202.802 L 29.0434 210.786 L F 0 g 24.0624 197.42 m 29.9635 202.802 L 29.0434 210.786 L S 1. g 29.9635 202.802 m 24.0624 197.42 L 25.0085 189.497 L F 0 g 29.9635 202.802 m 24.0624 197.42 L 25.0085 189.497 L S 1. g 48.0298 272.277 m 53.7883 277.219 L 52.9848 285.569 L F 0 g 48.0298 272.277 m 53.7883 277.219 L 52.9848 285.569 L S 1. g 53.7883 277.219 m 48.0298 272.277 L 48.8592 263.982 L F 0 g 53.7883 277.219 m 48.0298 272.277 L 48.8592 263.982 L S 1. g 71.9971 347.134 m 77.6131 351.635 L 76.9262 360.348 L F 0 g 71.9971 347.134 m 77.6131 351.635 L 76.9262 360.348 L S 1. g 77.6131 351.635 m 71.9971 347.134 L 72.7056 338.472 L F 0 g 77.6131 351.635 m 71.9971 347.134 L 72.7056 338.472 L S 1. g 238.814 207.861 m 241.255 201.692 L 236.516 192.875 L F 0 g 238.814 207.861 m 241.255 201.692 L 236.516 192.875 L S 1. g 237.591 186.348 m 236.516 192.875 L 241.255 201.692 L F 0 g 237.591 186.348 m 236.516 192.875 L 241.255 201.692 L S 161.369 246.136 m 165.249 244.896 L S 1. g 316.729 194.854 m 322.907 190.132 L 325.987 194.167 L F 0 g 316.729 194.854 m 322.907 190.132 L 325.987 194.167 L S 1. g 331.824 188.957 m 325.987 194.167 L 322.907 190.132 L F 0 g 331.824 188.957 m 325.987 194.167 L 322.907 190.132 L S 1. g 333.197 255.64 m 332.338 250.003 L 347.782 250.741 L F 0 g 333.197 255.64 m 332.338 250.003 L 347.782 250.741 L S 1. g 347.782 250.741 m 348.287 256.357 L 333.197 255.64 L F 0 g 347.782 250.741 m 348.287 256.357 L 333.197 255.64 L S 1. g 348.287 256.357 m 347.782 250.741 L 363.277 248.53 L F 0 g 348.287 256.357 m 347.782 250.741 L 363.277 248.53 L S 1. g 354.313 190.11 m 349.531 185.125 L 351.298 183.859 L F 0 g 354.313 190.11 m 349.531 185.125 L 351.298 183.859 L S 1. g 351.298 183.859 m 357.813 187.631 L 354.313 190.11 L F 0 g 351.298 183.859 m 357.813 187.631 L 354.313 190.11 L S 1. g 180.939 236.058 m 174.221 234.865 L 177.958 238.71 L F 0 g 180.939 236.058 m 174.221 234.865 L 177.958 238.71 L S 1. g 177.958 238.71 m 183.479 238.689 L 180.939 236.058 L F 0 g 177.958 238.71 m 183.479 238.689 L 180.939 236.058 L S 1. g 211.779 154.207 m 213.261 157.356 L 225.288 162.363 L F 0 g 211.779 154.207 m 213.261 157.356 L 225.288 162.363 L S 1. g 213.261 157.356 m 211.779 154.207 L 199.031 152.146 L F 0 g 213.261 157.356 m 211.779 154.207 L 199.031 152.146 L S 1. g 303.623 212.458 m 306.962 206.159 L 312.509 213.144 L F 0 g 303.623 212.458 m 306.962 206.159 L 312.509 213.144 L S 1. g 312.509 213.144 m 309.731 220.061 L 303.623 212.458 L F 0 g 312.509 213.144 m 309.731 220.061 L 303.623 212.458 L S 1. g 43.0661 258.958 m 48.8592 263.982 L 48.0298 272.277 L F 0 g 43.0661 258.958 m 48.8592 263.982 L 48.0298 272.277 L S 1. g 48.8592 263.982 m 43.0661 258.958 L 43.9171 250.724 L F 0 g 48.8592 263.982 m 43.0661 258.958 L 43.9171 250.724 L S 1. g 67.055 333.888 m 72.7056 338.472 L 71.9971 347.134 L F 0 g 67.055 333.888 m 72.7056 338.472 L 71.9971 347.134 L S 1. g 72.7056 338.472 m 67.055 333.888 L 67.7894 325.287 L F 0 g 72.7056 338.472 m 67.055 333.888 L 67.7894 325.287 L S 1. g 193.735 239.147 m 192.002 241.89 L 197.078 242.136 L F 0 g 193.735 239.147 m 192.002 241.89 L 197.078 242.136 L S 1. g 197.078 242.136 m 196.322 239.272 L 193.735 239.147 L F 0 g 197.078 242.136 m 196.322 239.272 L 193.735 239.147 L S 1. g 196.322 239.272 m 197.078 242.136 L 201.995 241.406 L F 0 g 196.322 239.272 m 197.078 242.136 L 201.995 241.406 L S 1. g 224.644 229.867 m 230.321 226.13 L 230.42 219.249 L F 0 g 224.644 229.867 m 230.321 226.13 L 230.42 219.249 L S 1. g 235.172 213.771 m 230.42 219.249 L 230.321 226.13 L F 0 g 235.172 213.771 m 230.42 219.249 L 230.321 226.13 L S 1. g 319.645 252.12 m 318.466 246.374 L 332.338 250.003 L F 0 g 319.645 252.12 m 318.466 246.374 L 332.338 250.003 L S 1. g 332.338 250.003 m 333.197 255.64 L 319.645 252.12 L F 0 g 332.338 250.003 m 333.197 255.64 L 319.645 252.12 L S 1. g 191.341 238.537 m 187.302 240.702 L 192.002 241.89 L F 0 g 191.341 238.537 m 187.302 240.702 L 192.002 241.89 L S 1. g 192.002 241.89 m 193.735 239.147 L 191.341 238.537 L F 0 g 192.002 241.89 m 193.735 239.147 L 191.341 238.537 L S 1. g 172.77 230.515 m 166.242 227.025 L 168.152 232.641 L F 0 g 172.77 230.515 m 166.242 227.025 L 168.152 232.641 L S 1. g 168.152 232.641 m 174.221 234.865 L 172.77 230.515 L F 0 g 168.152 232.641 m 174.221 234.865 L 172.77 230.515 L S 1. g 227.068 166.946 m 225.288 162.363 L 213.261 157.356 L F 0 g 227.068 166.946 m 225.288 162.363 L 213.261 157.356 L S 1. g 158.648 188.922 m 157.805 182.269 L 150.924 190.81 L F 0 g 158.648 188.922 m 157.805 182.269 L 150.924 190.81 L S 1. g 150.924 190.81 m 151.917 197.199 L 158.648 188.922 L F 0 g 150.924 190.81 m 151.917 197.199 L 158.648 188.922 L S 165.249 244.896 m 169.137 243.652 L S 1. g 307.575 240.188 m 307.225 233.755 L 318.077 239.967 L F 0 g 307.575 240.188 m 307.225 233.755 L 318.077 239.967 L S 1. g 318.077 239.967 m 318.466 246.374 L 307.575 240.188 L F 0 g 318.077 239.967 m 318.466 246.374 L 307.575 240.188 L S 1. g 376.661 237.138 m 375.278 230.291 L 385.962 223.163 L F 0 g 376.661 237.138 m 375.278 230.291 L 385.962 223.163 L S 1. g 383.223 216.428 m 385.962 223.163 L 375.278 230.291 L F 0 g 383.223 216.428 m 385.962 223.163 L 375.278 230.291 L S 1. g 322.907 190.132 m 329.737 186.188 L 331.824 188.957 L F 0 g 322.907 190.132 m 329.737 186.188 L 331.824 188.957 L S 1. g 338.1 184.537 m 331.824 188.957 L 329.737 186.188 L F 0 g 338.1 184.537 m 331.824 188.957 L 329.737 186.188 L S 1. g 331.824 188.957 m 338.1 184.537 L 339.859 185.622 L F 0 g 331.824 188.957 m 338.1 184.537 L 339.859 185.622 L S 1. g 344.667 181.021 m 344.688 186.395 L 342.135 186.265 L 344.667 181.021 L F 0 g 344.667 181.021 m 344.688 186.395 L 342.135 186.265 L 344.667 181.021 L S 1. g 344.667 181.021 m 347.246 186.002 L 344.688 186.395 L 344.667 181.021 L F 0 g 344.667 181.021 m 347.246 186.002 L 344.688 186.395 L 344.667 181.021 L S 1. g 201.995 241.406 m 198.828 238.896 L 196.322 239.272 L F 0 g 201.995 241.406 m 198.828 238.896 L 196.322 239.272 L S 1. g 198.828 238.896 m 201.995 241.406 L 206.232 239.782 L F 0 g 198.828 238.896 m 201.995 241.406 L 206.232 239.782 L S 1. g 38.0894 245.618 m 43.9171 250.724 L 43.0661 258.958 L F 0 g 38.0894 245.618 m 43.9171 250.724 L 43.0661 258.958 L S 1. g 43.9171 250.724 m 38.0894 245.618 L 38.9707 237.436 L F 0 g 43.9171 250.724 m 38.0894 245.618 L 38.9707 237.436 L S 1. g 62.1043 320.617 m 67.7894 325.287 L 67.055 333.888 L F 0 g 62.1043 320.617 m 67.7894 325.287 L 67.055 333.888 L S 1. g 67.7894 325.287 m 62.1043 320.617 L 62.8646 312.072 L F 0 g 67.7894 325.287 m 62.1043 320.617 L 62.8646 312.072 L S 1. g 344.667 181.021 m 342.135 186.265 L 339.859 185.622 L 344.667 181.021 L F 0 g 344.667 181.021 m 342.135 186.265 L 339.859 185.622 L 344.667 181.021 L S 1. g 162.056 215.879 m 157.555 209.922 L 155.913 217.732 L F 0 g 162.056 215.879 m 157.555 209.922 L 155.913 217.732 L S 1. g 155.913 217.732 m 160.574 222.718 L 162.056 215.879 L F 0 g 155.913 217.732 m 160.574 222.718 L 162.056 215.879 L S 1. g 344.667 181.021 m 349.531 185.125 L 347.246 186.002 L 344.667 181.021 L F 0 g 344.667 181.021 m 349.531 185.125 L 347.246 186.002 L 344.667 181.021 L S 1. g 199.238 155.092 m 199.031 152.146 L 185.963 152.846 L F 0 g 199.238 155.092 m 199.031 152.146 L 185.963 152.846 L S 1. g 185.963 152.846 m 184.857 155.857 L 199.238 155.092 L F 0 g 185.963 152.846 m 184.857 155.857 L 199.238 155.092 L S 1. g 369.84 197.558 m 364.046 192.236 L 367.174 187.872 L F 0 g 369.84 197.558 m 364.046 192.236 L 367.174 187.872 L S 1. g 364.046 192.236 m 357.813 187.631 L 359.925 184.641 L F 0 g 364.046 192.236 m 357.813 187.631 L 359.925 184.641 L S 1. g 359.925 184.641 m 367.174 187.872 L 364.046 192.236 L F 0 g 359.925 184.641 m 367.174 187.872 L 364.046 192.236 L S 1. g 375.054 203.463 m 369.84 197.558 L 373.922 191.951 L F 0 g 375.054 203.463 m 369.84 197.558 L 373.922 191.951 L S 1. g 367.174 187.872 m 373.922 191.951 L 369.84 197.558 L F 0 g 367.174 187.872 m 373.922 191.951 L 369.84 197.558 L S 1. g 237.591 186.348 m 237.509 180.161 L 228.001 172.416 L F 0 g 237.591 186.348 m 237.509 180.161 L 228.001 172.416 L S 1. g 227.068 166.946 m 228.001 172.416 L 237.509 180.161 L F 0 g 227.068 166.946 m 228.001 172.416 L 237.509 180.161 L S 1. g 169.24 169.366 m 170.173 163.979 L 159.313 170.51 L F 0 g 169.24 169.366 m 170.173 163.979 L 159.313 170.51 L S 1. g 159.313 170.51 m 158.034 176.075 L 169.24 169.366 L F 0 g 159.313 170.51 m 158.034 176.075 L 169.24 169.366 L S 1. g 215.711 236.87 m 209.343 237.427 L 206.232 239.782 L F 0 g 215.711 236.87 m 209.343 237.427 L 206.232 239.782 L S 1. g 209.343 237.427 m 215.711 236.87 L 218.138 232.714 L F 0 g 209.343 237.427 m 215.711 236.87 L 218.138 232.714 L S 1. g 224.644 229.867 m 218.138 232.714 L 215.711 236.87 L F 0 g 224.644 229.867 m 218.138 232.714 L 215.711 236.87 L S 1. g 189.402 237.509 m 183.479 238.689 L 187.302 240.702 L F 0 g 189.402 237.509 m 183.479 238.689 L 187.302 240.702 L S 1. g 187.302 240.702 m 191.341 238.537 L 189.402 237.509 L F 0 g 187.302 240.702 m 191.341 238.537 L 189.402 237.509 L S 1. g 344.667 181.021 m 339.859 185.622 L 338.1 184.537 L 344.667 181.021 L F 0 g 344.667 181.021 m 339.859 185.622 L 338.1 184.537 L 344.667 181.021 L S 1. g 301.45 218.981 m 303.623 212.458 L 309.731 220.061 L F 0 g 301.45 218.981 m 303.623 212.458 L 309.731 220.061 L S 1. g 309.731 220.061 m 307.951 226.99 L 301.45 218.981 L F 0 g 309.731 220.061 m 307.951 226.99 L 301.45 218.981 L S 1. g 33.1085 232.248 m 38.9707 237.436 L 38.0894 245.618 L F 0 g 33.1085 232.248 m 38.9707 237.436 L 38.0894 245.618 L S 1. g 38.9707 237.436 m 33.1085 232.248 L 34.0114 224.126 L F 0 g 38.9707 237.436 m 33.1085 232.248 L 34.0114 224.126 L S 1. g 57.145 307.325 m 62.8646 312.072 L 62.1043 320.617 L F 0 g 57.145 307.325 m 62.8646 312.072 L 62.1043 320.617 L S 1. g 62.8646 312.072 m 57.145 307.325 L 57.9312 298.832 L F 0 g 62.8646 312.072 m 57.145 307.325 L 57.9312 298.832 L S 169.137 243.652 m 173.038 242.4 L S 1. g 363.277 248.53 m 363.429 254.206 L 348.287 256.357 L F 0 g 363.277 248.53 m 363.429 254.206 L 348.287 256.357 L S 1. g 363.429 254.206 m 363.277 248.53 L 377.283 243.557 L F 0 g 363.429 254.206 m 363.277 248.53 L 377.283 243.557 L S 1. g 376.661 237.138 m 377.283 243.557 L 363.277 248.53 L F 0 g 376.661 237.138 m 377.283 243.557 L 363.277 248.53 L S 1. g 199.031 152.146 m 199.238 155.092 L 213.261 157.356 L F 0 g 199.031 152.146 m 199.238 155.092 L 213.261 157.356 L S 1. g 357.813 187.631 m 351.298 183.859 L 352.361 182.339 L F 0 g 357.813 187.631 m 351.298 183.859 L 352.361 182.339 L S 1. g 352.361 182.339 m 359.925 184.641 L 357.813 187.631 L F 0 g 352.361 182.339 m 359.925 184.641 L 357.813 187.631 L S 1. g 379.551 209.805 m 375.054 203.463 L 379.992 196.776 L F 0 g 379.551 209.805 m 375.054 203.463 L 379.992 196.776 L S 1. g 373.922 191.951 m 379.992 196.776 L 375.054 203.463 L F 0 g 373.922 191.951 m 379.992 196.776 L 375.054 203.463 L S 1. g 344.667 181.021 m 351.298 183.859 L 349.531 185.125 L 344.667 181.021 L F 0 g 344.667 181.021 m 351.298 183.859 L 349.531 185.125 L 344.667 181.021 L S 1. g 235.172 213.771 m 238.814 207.861 L 234.3 199.562 L F 0 g 235.172 213.771 m 238.814 207.861 L 234.3 199.562 L S 1. g 236.516 192.875 m 234.3 199.562 L 238.814 207.861 L F 0 g 236.516 192.875 m 234.3 199.562 L 238.814 207.861 L S 1. g 206.232 239.782 m 200.984 238.067 L 198.828 238.896 L F 0 g 206.232 239.782 m 200.984 238.067 L 198.828 238.896 L S 1. g 200.984 238.067 m 206.232 239.782 L 209.343 237.427 L F 0 g 200.984 238.067 m 206.232 239.782 L 209.343 237.427 L S 1. g 329.737 186.188 m 337.051 183.125 L 338.1 184.537 L F 0 g 329.737 186.188 m 337.051 183.125 L 338.1 184.537 L S 1. g 344.667 181.021 m 338.1 184.537 L 337.051 183.125 L 344.667 181.021 L F 0 g 344.667 181.021 m 338.1 184.537 L 337.051 183.125 L 344.667 181.021 L S 1. g 28.1146 218.847 m 34.0114 224.126 L 33.1085 232.248 L F 0 g 28.1146 218.847 m 34.0114 224.126 L 33.1085 232.248 L S 1. g 34.0114 224.126 m 28.1146 218.847 L 29.0434 210.786 L F 0 g 34.0114 224.126 m 28.1146 218.847 L 29.0434 210.786 L S 1. g 52.1726 294.002 m 57.9312 298.832 L 57.145 307.325 L F 0 g 52.1726 294.002 m 57.9312 298.832 L 57.145 307.325 L S 1. g 57.9312 298.832 m 52.1726 294.002 L 52.9848 285.569 L F 0 g 57.9312 298.832 m 52.1726 294.002 L 52.9848 285.569 L S 1. g 184.054 160.06 m 184.857 155.857 L 171.811 159.559 L F 0 g 184.054 160.06 m 184.857 155.857 L 171.811 159.559 L S 1. g 171.811 159.559 m 170.173 163.979 L 184.054 160.06 L F 0 g 171.811 159.559 m 170.173 163.979 L 184.054 160.06 L S 173.038 242.4 m 176.952 241.151 L S 1. g 218.138 232.714 m 224.644 229.867 L 224.692 224.135 L F 0 g 218.138 232.714 m 224.644 229.867 L 224.692 224.135 L S 1. g 230.42 219.249 m 224.692 224.135 L 224.644 229.867 L F 0 g 230.42 219.249 m 224.692 224.135 L 224.644 229.867 L S 1. g 344.667 181.021 m 352.361 182.339 L 351.298 183.859 L 344.667 181.021 L F 0 g 344.667 181.021 m 352.361 182.339 L 351.298 183.859 L 344.667 181.021 L S 1. g 315.77 188.974 m 322.194 185.557 L 322.907 190.132 L F 0 g 315.77 188.974 m 322.194 185.557 L 322.907 190.132 L S 1. g 322.907 190.132 m 316.729 194.854 L 315.77 188.974 L F 0 g 322.907 190.132 m 316.729 194.854 L 315.77 188.974 L S 1. g 329.737 186.188 m 322.907 190.132 L 322.194 185.557 L F 0 g 329.737 186.188 m 322.907 190.132 L 322.194 185.557 L S 1. g 383.223 216.428 m 379.551 209.805 L 385.223 202.232 L F 0 g 383.223 216.428 m 379.551 209.805 L 385.223 202.232 L S 1. g 379.992 196.776 m 385.223 202.232 L 379.551 209.805 L F 0 g 379.992 196.776 m 385.223 202.232 L 379.551 209.805 L S 1. g 322.194 185.557 m 329.275 183.06 L 329.737 186.188 L F 0 g 322.194 185.557 m 329.275 183.06 L 329.737 186.188 L S 1. g 337.051 183.125 m 329.737 186.188 L 329.275 183.06 L F 0 g 337.051 183.125 m 329.737 186.188 L 329.275 183.06 L S 1. g 377.283 243.557 m 376.661 237.138 L 387.69 229.841 L F 0 g 377.283 243.557 m 376.661 237.138 L 387.69 229.841 L S 1. g 385.962 223.163 m 387.69 229.841 L 376.661 237.138 L F 0 g 385.962 223.163 m 387.69 229.841 L 376.661 237.138 L S 1. g 179.971 233.09 m 172.77 230.515 L 174.221 234.865 L F 0 g 179.971 233.09 m 172.77 230.515 L 174.221 234.865 L S 1. g 174.221 234.865 m 180.939 236.058 L 179.971 233.09 L F 0 g 174.221 234.865 m 180.939 236.058 L 179.971 233.09 L S 1. g 23.1077 205.425 m 29.0434 210.786 L 28.1146 218.847 L F 0 g 23.1077 205.425 m 29.0434 210.786 L 28.1146 218.847 L S 1. g 29.0434 210.786 m 23.1077 205.425 L 24.0624 197.42 L F 0 g 29.0434 210.786 m 23.1077 205.425 L 24.0624 197.42 L S 1. g 47.196 280.653 m 52.9848 285.569 L 52.1726 294.002 L F 0 g 47.196 280.653 m 52.9848 285.569 L 52.1726 294.002 L S 1. g 52.9848 285.569 m 47.196 280.653 L 48.0298 272.277 L F 0 g 52.9848 285.569 m 47.196 280.653 L 48.0298 272.277 L S 1. g 76.9262 360.348 m 71.28 355.877 L 71.9971 347.134 L F 0 g 76.9262 360.348 m 71.28 355.877 L 71.9971 347.134 L S 1. g 188.119 236.17 m 180.939 236.058 L 183.479 238.689 L F 0 g 188.119 236.17 m 180.939 236.058 L 183.479 238.689 L S 1. g 183.479 238.689 m 189.402 237.509 L 188.119 236.17 L F 0 g 183.479 238.689 m 189.402 237.509 L 188.119 236.17 L S 1. g 160.54 195.847 m 158.648 188.922 L 151.917 197.199 L F 0 g 160.54 195.847 m 158.648 188.922 L 151.917 197.199 L S 1. g 151.917 197.199 m 154.146 203.632 L 160.54 195.847 L F 0 g 151.917 197.199 m 154.146 203.632 L 160.54 195.847 L S 1. g 167.521 221.331 m 162.056 215.879 L 160.574 222.718 L F 0 g 167.521 221.331 m 162.056 215.879 L 160.574 222.718 L S 1. g 160.574 222.718 m 166.242 227.025 L 167.521 221.331 L F 0 g 160.574 222.718 m 166.242 227.025 L 167.521 221.331 L S 1. g 334.45 260.366 m 333.197 255.64 L 348.287 256.357 L F 0 g 334.45 260.366 m 333.197 255.64 L 348.287 256.357 L S 1. g 348.287 256.357 m 348.784 261.045 L 334.45 260.366 L F 0 g 348.287 256.357 m 348.784 261.045 L 334.45 260.366 L S 1. g 348.784 261.045 m 348.287 256.357 L 363.429 254.206 L F 0 g 348.784 261.045 m 348.287 256.357 L 363.429 254.206 L S 1. g 310.172 193.221 m 315.77 188.974 L 316.729 194.854 L F 0 g 310.172 193.221 m 315.77 188.974 L 316.729 194.854 L S 1. g 316.729 194.854 m 311.368 200.241 L 310.172 193.221 L F 0 g 316.729 194.854 m 311.368 200.241 L 310.172 193.221 L S 1. g 329.275 183.06 m 336.83 181.535 L 337.051 183.125 L F 0 g 329.275 183.06 m 336.83 181.535 L 337.051 183.125 L S 1. g 344.667 181.021 m 337.051 183.125 L 336.83 181.535 L 344.667 181.021 L F 0 g 344.667 181.021 m 337.051 183.125 L 336.83 181.535 L 344.667 181.021 L S 1. g 300.508 225.556 m 301.45 218.981 L 307.951 226.99 L F 0 g 300.508 225.556 m 301.45 218.981 L 307.951 226.99 L S 1. g 307.951 226.99 m 307.225 233.755 L 300.508 225.556 L F 0 g 307.951 226.99 m 307.225 233.755 L 300.508 225.556 L S 1. g 309.014 246.115 m 307.575 240.188 L 318.466 246.374 L F 0 g 309.014 246.115 m 307.575 240.188 L 318.466 246.374 L S 1. g 318.466 246.374 m 319.645 252.12 L 309.014 246.115 L F 0 g 318.466 246.374 m 319.645 252.12 L 309.014 246.115 L S 176.952 241.151 m 180.878 239.894 L S 1. g 321.589 257.04 m 319.645 252.12 L 333.197 255.64 L F 0 g 321.589 257.04 m 319.645 252.12 L 333.197 255.64 L S 1. g 333.197 255.64 m 334.45 260.366 L 321.589 257.04 L F 0 g 333.197 255.64 m 334.45 260.366 L 321.589 257.04 L S 1. g 42.2021 267.278 m 48.0298 272.277 L 47.196 280.653 L F 0 g 42.2021 267.278 m 48.0298 272.277 L 47.196 280.653 L S 1. g 48.0298 272.277 m 42.2021 267.278 L 43.0661 258.958 L F 0 g 48.0298 272.277 m 42.2021 267.278 L 43.0661 258.958 L S 1. g 66.312 342.58 m 71.9971 347.134 L 71.28 355.877 L F 0 g 66.312 342.58 m 71.9971 347.134 L 71.28 355.877 L S 1. g 71.9971 347.134 m 66.312 342.58 L 67.055 333.888 L F 0 g 71.9971 347.134 m 66.312 342.58 L 67.055 333.888 L S 1. g 359.925 184.641 m 352.361 182.339 L 352.594 180.723 L F 0 g 359.925 184.641 m 352.361 182.339 L 352.594 180.723 L S 1. g 344.667 181.021 m 352.594 180.723 L 352.361 182.339 L 344.667 181.021 L F 0 g 344.667 181.021 m 352.594 180.723 L 352.361 182.339 L 344.667 181.021 L S 1. g 228.001 172.416 m 227.068 166.946 L 214.276 161.641 L F 0 g 228.001 172.416 m 227.068 166.946 L 214.276 161.641 L S 1. g 213.261 157.356 m 214.276 161.641 L 227.068 166.946 L F 0 g 213.261 157.356 m 214.276 161.641 L 227.068 166.946 L S 1. g 236.516 192.875 m 237.591 186.348 L 228.044 178.619 L F 0 g 236.516 192.875 m 237.591 186.348 L 228.044 178.619 L S 1. g 228.001 172.416 m 228.044 178.619 L 237.591 186.348 L F 0 g 228.001 172.416 m 228.044 178.619 L 237.591 186.348 L S 1. g 367.174 187.872 m 359.925 184.641 L 360.418 181.457 L F 0 g 367.174 187.872 m 359.925 184.641 L 360.418 181.457 L S 1. g 352.594 180.723 m 360.418 181.457 L 359.925 184.641 L F 0 g 352.594 180.723 m 360.418 181.457 L 359.925 184.641 L S 1. g 209.343 237.427 m 202.56 236.866 L 200.984 238.067 L F 0 g 209.343 237.427 m 202.56 236.866 L 200.984 238.067 L S 1. g 202.56 236.866 m 209.343 237.427 L 210.984 234.589 L F 0 g 202.56 236.866 m 209.343 237.427 L 210.984 234.589 L S 1. g 218.138 232.714 m 210.984 234.589 L 209.343 237.427 L F 0 g 218.138 232.714 m 210.984 234.589 L 209.343 237.427 L S 1. g 230.42 219.249 m 235.172 213.771 L 231.008 206.22 L F 0 g 230.42 219.249 m 235.172 213.771 L 231.008 206.22 L S 1. g 234.3 199.562 m 231.008 206.22 L 235.172 213.771 L F 0 g 234.3 199.562 m 231.008 206.22 L 235.172 213.771 L S 1. g 214.276 161.641 m 213.261 157.356 L 199.238 155.092 L F 0 g 214.276 161.641 m 213.261 157.356 L 199.238 155.092 L S 1. g 305.558 198.197 m 310.172 193.221 L 311.368 200.241 L F 0 g 305.558 198.197 m 310.172 193.221 L 311.368 200.241 L S 1. g 311.368 200.241 m 306.962 206.159 L 305.558 198.197 L F 0 g 311.368 200.241 m 306.962 206.159 L 305.558 198.197 L S 1. g 344.667 181.021 m 350.559 177.911 L 351.972 179.194 L 344.667 181.021 L F 0 g 344.667 181.021 m 350.559 177.911 L 351.972 179.194 L 344.667 181.021 L S 1. g 344.667 181.021 m 348.503 177.021 L 350.559 177.911 L 344.667 181.021 L F 0 g 344.667 181.021 m 348.503 177.021 L 350.559 177.911 L 344.667 181.021 L S 1. g 344.667 181.021 m 346.032 176.623 L 348.503 177.021 L 344.667 181.021 L F 0 g 344.667 181.021 m 346.032 176.623 L 348.503 177.021 L 344.667 181.021 L S 1. g 344.667 181.021 m 343.418 176.757 L 346.032 176.623 L 344.667 181.021 L F 0 g 344.667 181.021 m 343.418 176.757 L 346.032 176.623 L 344.667 181.021 L S 1. g 344.667 181.021 m 340.943 177.414 L 343.418 176.757 L 344.667 181.021 L F 0 g 344.667 181.021 m 340.943 177.414 L 343.418 176.757 L 344.667 181.021 L S 1. g 344.667 181.021 m 338.882 178.515 L 340.943 177.414 L 344.667 181.021 L F 0 g 344.667 181.021 m 338.882 178.515 L 340.943 177.414 L 344.667 181.021 L S 1. g 344.667 181.021 m 337.461 179.941 L 338.882 178.515 L 344.667 181.021 L F 0 g 344.667 181.021 m 337.461 179.941 L 338.882 178.515 L 344.667 181.021 L S 1. g 344.667 181.021 m 336.83 181.535 L 337.461 179.941 L 344.667 181.021 L F 0 g 344.667 181.021 m 336.83 181.535 L 337.461 179.941 L 344.667 181.021 L S 1. g 344.667 181.021 m 351.972 179.194 L 352.594 180.723 L 344.667 181.021 L F 0 g 344.667 181.021 m 351.972 179.194 L 352.594 180.723 L 344.667 181.021 L S 1. g 169.055 175.582 m 169.24 169.366 L 158.034 176.075 L F 0 g 169.055 175.582 m 169.24 169.366 L 158.034 176.075 L S 1. g 158.034 176.075 m 157.805 182.269 L 169.055 175.582 L F 0 g 158.034 176.075 m 157.805 182.269 L 169.055 175.582 L S 1. g 385.962 223.163 m 383.223 216.428 L 389.474 208.176 L F 0 g 385.962 223.163 m 383.223 216.428 L 389.474 208.176 L S 1. g 385.223 202.232 m 389.474 208.176 L 383.223 216.428 L F 0 g 385.223 202.232 m 389.474 208.176 L 383.223 216.428 L S 1. g 37.2038 253.873 m 43.0661 258.958 L 42.2021 267.278 L F 0 g 37.2038 253.873 m 43.0661 258.958 L 42.2021 267.278 L S 1. g 43.0661 258.958 m 37.2038 253.873 L 38.0894 245.618 L F 0 g 43.0661 258.958 m 37.2038 253.873 L 38.0894 245.618 L S 1. g 61.3354 329.253 m 67.055 333.888 L 66.312 342.58 L F 0 g 61.3354 329.253 m 67.055 333.888 L 66.312 342.58 L S 1. g 67.055 333.888 m 61.3354 329.253 L 62.1043 320.617 L F 0 g 67.055 333.888 m 61.3354 329.253 L 62.1043 320.617 L S 1. g 196.322 239.272 m 195.549 235.194 L 193.735 239.147 L 196.322 239.272 L F 0 g 196.322 239.272 m 195.549 235.194 L 193.735 239.147 L 196.322 239.272 L S 1. g 198.828 238.896 m 195.549 235.194 L 196.322 239.272 L 198.828 238.896 L F 0 g 198.828 238.896 m 195.549 235.194 L 196.322 239.272 L 198.828 238.896 L S 1. g 330.497 179.911 m 337.461 179.941 L 336.83 181.535 L F 0 g 330.497 179.911 m 337.461 179.941 L 336.83 181.535 L S 1. g 336.83 181.535 m 329.275 183.06 L 330.497 179.911 L F 0 g 336.83 181.535 m 329.275 183.06 L 330.497 179.911 L S 1. g 373.922 191.951 m 367.174 187.872 L 367.93 183.211 L F 0 g 373.922 191.951 m 367.174 187.872 L 367.93 183.211 L S 1. g 360.418 181.457 m 367.93 183.211 L 367.174 187.872 L F 0 g 360.418 181.457 m 367.93 183.211 L 367.174 187.872 L S 1. g 193.735 239.147 m 195.549 235.194 L 191.341 238.537 L 193.735 239.147 L F 0 g 193.735 239.147 m 195.549 235.194 L 191.341 238.537 L 193.735 239.147 L S 180.878 239.894 m 184.814 238.632 L S 1. g 210.984 234.589 m 218.138 232.714 L 218.143 228.282 L F 0 g 210.984 234.589 m 218.138 232.714 L 218.143 228.282 L S 1. g 224.692 224.135 m 218.143 228.282 L 218.138 232.714 L F 0 g 224.692 224.135 m 218.143 228.282 L 218.138 232.714 L S 1. g 200.984 238.067 m 195.549 235.194 L 198.828 238.896 L 200.984 238.067 L F 0 g 200.984 238.067 m 195.549 235.194 L 198.828 238.896 L 200.984 238.067 L S 1. g 363.429 254.206 m 363.165 259.01 L 348.784 261.045 L F 0 g 363.429 254.206 m 363.165 259.01 L 348.784 261.045 L S 1. g 363.165 259.01 m 363.429 254.206 L 377.114 249.385 L F 0 g 363.165 259.01 m 363.429 254.206 L 377.114 249.385 L S 1. g 377.283 243.557 m 377.114 249.385 L 363.429 254.206 L F 0 g 377.283 243.557 m 377.114 249.385 L 363.429 254.206 L S 1. g 173.794 226.122 m 167.521 221.331 L 166.242 227.025 L F 0 g 173.794 226.122 m 167.521 221.331 L 166.242 227.025 L S 1. g 166.242 227.025 m 172.77 230.515 L 173.794 226.122 L F 0 g 166.242 227.025 m 172.77 230.515 L 173.794 226.122 L S 1. g 32.197 240.447 m 38.0894 245.618 L 37.2038 253.873 L F 0 g 32.197 240.447 m 38.0894 245.618 L 37.2038 253.873 L S 1. g 38.0894 245.618 m 32.197 240.447 L 33.1085 232.248 L F 0 g 38.0894 245.618 m 32.197 240.447 L 33.1085 232.248 L S 1. g 56.3501 315.896 m 62.1043 320.617 L 61.3354 329.253 L F 0 g 56.3501 315.896 m 62.1043 320.617 L 61.3354 329.253 L S 1. g 62.1043 320.617 m 56.3501 315.896 L 57.145 307.325 L F 0 g 62.1043 320.617 m 56.3501 315.896 L 57.145 307.325 L S 1. g 191.341 238.537 m 195.549 235.194 L 189.402 237.509 L 191.341 238.537 L F 0 g 191.341 238.537 m 195.549 235.194 L 189.402 237.509 L 191.341 238.537 L S 1. g 360.418 181.457 m 352.594 180.723 L 351.972 179.194 L F 0 g 360.418 181.457 m 352.594 180.723 L 351.972 179.194 L S 1. g 187.639 234.667 m 179.971 233.09 L 180.939 236.058 L F 0 g 187.639 234.667 m 179.971 233.09 L 180.939 236.058 L S 1. g 180.939 236.058 m 188.119 236.17 L 187.639 234.667 L F 0 g 180.939 236.058 m 188.119 236.17 L 187.639 234.667 L S 1. g 323.957 180.939 m 330.497 179.911 L 329.275 183.06 L F 0 g 323.957 180.939 m 330.497 179.911 L 329.275 183.06 L S 1. g 329.275 183.06 m 322.194 185.557 L 323.957 180.939 L F 0 g 329.275 183.06 m 322.194 185.557 L 323.957 180.939 L S 1. g 163.434 202.837 m 160.54 195.847 L 154.146 203.632 L F 0 g 163.434 202.837 m 160.54 195.847 L 154.146 203.632 L S 1. g 154.146 203.632 m 157.555 209.922 L 163.434 202.837 L F 0 g 154.146 203.632 m 157.555 209.922 L 163.434 202.837 L S 1. g 199.355 159.244 m 199.238 155.092 L 184.857 155.857 L F 0 g 199.355 159.244 m 199.238 155.092 L 184.857 155.857 L S 1. g 184.857 155.857 m 184.054 160.06 L 199.355 159.244 L F 0 g 184.857 155.857 m 184.054 160.06 L 199.355 159.244 L S 1. g 202.56 236.866 m 195.549 235.194 L 200.984 238.067 L 202.56 236.866 L F 0 g 202.56 236.866 m 195.549 235.194 L 200.984 238.067 L 202.56 236.866 L S 1. g 379.992 196.776 m 373.922 191.951 L 374.946 185.946 L F 0 g 379.992 196.776 m 373.922 191.951 L 374.946 185.946 L S 1. g 367.93 183.211 m 374.946 185.946 L 373.922 191.951 L F 0 g 367.93 183.211 m 374.946 185.946 L 373.922 191.951 L S 1. g 300.84 232.014 m 300.508 225.556 L 307.225 233.755 L F 0 g 300.84 232.014 m 300.508 225.556 L 307.225 233.755 L S 1. g 307.225 233.755 m 307.575 240.188 L 300.84 232.014 L F 0 g 307.225 233.755 m 307.575 240.188 L 300.84 232.014 L S 1. g 302.05 203.779 m 305.558 198.197 L 306.962 206.159 L F 0 g 302.05 203.779 m 305.558 198.197 L 306.962 206.159 L S 1. g 306.962 206.159 m 303.623 212.458 L 302.05 203.779 L F 0 g 306.962 206.159 m 303.623 212.458 L 302.05 203.779 L S 1. g 377.114 249.385 m 377.283 243.557 L 388.359 236.287 L F 0 g 377.114 249.385 m 377.283 243.557 L 388.359 236.287 L S 1. g 387.69 229.841 m 388.359 236.287 L 377.283 243.557 L F 0 g 387.69 229.841 m 388.359 236.287 L 377.283 243.557 L S 1. g 333.297 177.085 m 338.882 178.515 L 337.461 179.941 L F 0 g 333.297 177.085 m 338.882 178.515 L 337.461 179.941 L S 1. g 337.461 179.941 m 330.497 179.911 L 333.297 177.085 L F 0 g 337.461 179.941 m 330.497 179.911 L 333.297 177.085 L S 1. g 27.1771 226.99 m 33.1085 232.248 L 32.197 240.447 L F 0 g 27.1771 226.99 m 33.1085 232.248 L 32.197 240.447 L S 1. g 33.1085 232.248 m 27.1771 226.99 L 28.1146 218.847 L F 0 g 33.1085 232.248 m 27.1771 226.99 L 28.1146 218.847 L S 1. g 51.3562 302.517 m 57.145 307.325 L 56.3501 315.896 L F 0 g 51.3562 302.517 m 57.145 307.325 L 56.3501 315.896 L S 1. g 57.145 307.325 m 51.3562 302.517 L 52.1726 294.002 L F 0 g 57.145 307.325 m 51.3562 302.517 L 52.1726 294.002 L S 1. g 224.692 224.135 m 230.42 219.249 L 226.722 212.643 L F 0 g 224.692 224.135 m 230.42 219.249 L 226.722 212.643 L S 1. g 231.008 206.22 m 226.722 212.643 L 230.42 219.249 L F 0 g 231.008 206.22 m 226.722 212.643 L 230.42 219.249 L S 1. g 199.238 155.092 m 199.355 159.244 L 214.276 161.641 L F 0 g 199.238 155.092 m 199.355 159.244 L 214.276 161.641 L S 1. g 189.402 237.509 m 195.549 235.194 L 188.119 236.17 L 189.402 237.509 L F 0 g 189.402 237.509 m 195.549 235.194 L 188.119 236.17 L 189.402 237.509 L S 184.814 238.632 m 188.758 237.371 L S 1. g 183.574 165.344 m 184.054 160.06 L 170.173 163.979 L F 0 g 183.574 165.344 m 184.054 160.06 L 170.173 163.979 L S 1. g 170.173 163.979 m 169.24 169.366 L 183.574 165.344 L F 0 g 170.173 163.979 m 169.24 169.366 L 183.574 165.344 L S 1. g 318.017 183.012 m 323.957 180.939 L 322.194 185.557 L F 0 g 318.017 183.012 m 323.957 180.939 L 322.194 185.557 L S 1. g 322.194 185.557 m 315.77 188.974 L 318.017 183.012 L F 0 g 322.194 185.557 m 315.77 188.974 L 318.017 183.012 L S 1. g 359.212 178.429 m 351.972 179.194 L 350.559 177.911 L F 0 g 359.212 178.429 m 351.972 179.194 L 350.559 177.911 L S 1. g 351.972 179.194 m 359.212 178.429 L 360.418 181.457 L F 0 g 351.972 179.194 m 359.212 178.429 L 360.418 181.457 L S 1. g 210.984 234.589 m 203.381 235.427 L 202.56 236.866 L F 0 g 210.984 234.589 m 203.381 235.427 L 202.56 236.866 L S 1. g 203.381 235.427 m 210.984 234.589 L 210.959 231.569 L F 0 g 203.381 235.427 m 210.984 234.589 L 210.959 231.569 L S 1. g 218.143 228.282 m 210.959 231.569 L 210.984 234.589 L F 0 g 218.143 228.282 m 210.959 231.569 L 210.984 234.589 L S 1. g 387.69 229.841 m 385.962 223.163 L 392.632 214.466 L F 0 g 387.69 229.841 m 385.962 223.163 L 392.632 214.466 L S 1. g 389.474 208.176 m 392.632 214.466 L 385.962 223.163 L F 0 g 389.474 208.176 m 392.632 214.466 L 385.962 223.163 L S 1. g 234.3 199.562 m 236.516 192.875 L 227.189 185.388 L F 0 g 234.3 199.562 m 236.516 192.875 L 227.189 185.388 L S 1. g 228.044 178.619 m 227.189 185.388 L 236.516 192.875 L F 0 g 228.044 178.619 m 227.189 185.388 L 236.516 192.875 L S 1. g 367.93 183.211 m 360.418 181.457 L 359.212 178.429 L F 0 g 367.93 183.211 m 360.418 181.457 L 359.212 178.429 L S 1. g 180.693 230.1 m 173.794 226.122 L 172.77 230.515 L F 0 g 180.693 230.1 m 173.794 226.122 L 172.77 230.515 L S 1. g 172.77 230.515 m 179.971 233.09 L 180.693 230.1 L F 0 g 172.77 230.515 m 179.971 233.09 L 180.693 230.1 L S 1. g 203.381 235.427 m 195.549 235.194 L 202.56 236.866 L 203.381 235.427 L F 0 g 203.381 235.427 m 195.549 235.194 L 202.56 236.866 L 203.381 235.427 L S 1. g 22.1443 213.507 m 28.1146 218.847 L 27.1771 226.99 L F 0 g 22.1443 213.507 m 28.1146 218.847 L 27.1771 226.99 L S 1. g 28.1146 218.847 m 22.1443 213.507 L 23.1077 205.425 L F 0 g 28.1146 218.847 m 22.1443 213.507 L 23.1077 205.425 L S 1. g 46.3493 289.112 m 52.1726 294.002 L 51.3562 302.517 L F 0 g 46.3493 289.112 m 52.1726 294.002 L 51.3562 302.517 L S 1. g 52.1726 294.002 m 46.3493 289.112 L 47.196 280.653 L F 0 g 52.1726 294.002 m 46.3493 289.112 L 47.196 280.653 L S 1. g 311.511 251.372 m 309.014 246.115 L 319.645 252.12 L F 0 g 311.511 251.372 m 309.014 246.115 L 319.645 252.12 L S 1. g 319.645 252.12 m 321.589 257.04 L 311.511 251.372 L F 0 g 319.645 252.12 m 321.589 257.04 L 311.511 251.372 L S 188.758 237.371 m 190.974 236.663 L S 1. g 337.366 174.895 m 340.943 177.414 L 338.882 178.515 L F 0 g 337.366 174.895 m 340.943 177.414 L 338.882 178.515 L S 1. g 338.882 178.515 m 333.297 177.085 L 337.366 174.895 L F 0 g 338.882 178.515 m 333.297 177.085 L 337.366 174.895 L S 1. g 336.079 264.038 m 334.45 260.366 L 348.784 261.045 L F 0 g 336.079 264.038 m 334.45 260.366 L 348.784 261.045 L S 1. g 348.784 261.045 m 349.259 264.66 L 336.079 264.038 L F 0 g 348.784 261.045 m 349.259 264.66 L 336.079 264.038 L S 1. g 349.259 264.66 m 348.784 261.045 L 363.165 259.01 L F 0 g 349.259 264.66 m 348.784 261.045 L 363.165 259.01 L S 1. g 385.223 202.232 m 379.992 196.776 L 381.266 189.6 L F 0 g 385.223 202.232 m 379.992 196.776 L 381.266 189.6 L S 1. g 374.946 185.946 m 381.266 189.6 L 379.992 196.776 L F 0 g 374.946 185.946 m 381.266 189.6 L 379.992 196.776 L S 1. g 188.119 236.17 m 195.549 235.194 L 187.639 234.667 L 188.119 236.17 L F 0 g 188.119 236.17 m 195.549 235.194 L 187.639 234.667 L 188.119 236.17 L S 190.974 236.663 m 192.715 236.101 L S 1. g 167.257 209.688 m 163.434 202.837 L 157.555 209.922 L F 0 g 167.257 209.688 m 163.434 202.837 L 157.555 209.922 L S 1. g 157.555 209.922 m 162.056 215.879 L 167.257 209.688 L F 0 g 157.555 209.922 m 162.056 215.879 L 167.257 209.688 L S 1. g 169.629 182.442 m 169.055 175.582 L 157.805 182.269 L F 0 g 169.629 182.442 m 169.055 175.582 L 157.805 182.269 L S 1. g 157.805 182.269 m 158.648 188.922 L 169.629 182.442 L F 0 g 157.805 182.269 m 158.648 188.922 L 169.629 182.442 L S 1. g 228.044 178.619 m 228.001 172.416 L 214.795 166.968 L F 0 g 228.044 178.619 m 228.001 172.416 L 214.795 166.968 L S 1. g 214.276 161.641 m 214.795 166.968 L 228.001 172.416 L F 0 g 214.276 161.641 m 214.795 166.968 L 228.001 172.416 L S 1. g 41.3338 275.676 m 47.196 280.653 L 46.3493 289.112 L F 0 g 41.3338 275.676 m 47.196 280.653 L 46.3493 289.112 L S 1. g 47.196 280.653 m 41.3338 275.676 L 42.2021 267.278 L F 0 g 47.196 280.653 m 41.3338 275.676 L 42.2021 267.278 L S 1. g 71.28 355.877 m 65.5603 351.354 L 66.312 342.58 L F 0 g 71.28 355.877 m 65.5603 351.354 L 66.312 342.58 L S 1. g 218.143 228.282 m 224.692 224.135 L 221.564 218.644 L F 0 g 218.143 228.282 m 224.692 224.135 L 221.564 218.644 L S 1. g 226.722 212.643 m 221.564 218.644 L 224.692 224.135 L F 0 g 226.722 212.643 m 221.564 218.644 L 224.692 224.135 L S 1. g 350.559 177.911 m 356.43 175.889 L 359.212 178.429 L F 0 g 350.559 177.911 m 356.43 175.889 L 359.212 178.429 L S 1. g 356.43 175.889 m 350.559 177.911 L 348.503 177.021 L F 0 g 356.43 175.889 m 350.559 177.911 L 348.503 177.021 L S 1. g 324.259 260.997 m 321.589 257.04 L 334.45 260.366 L F 0 g 324.259 260.997 m 321.589 257.04 L 334.45 260.366 L S 1. g 334.45 260.366 m 336.079 264.038 L 324.259 260.997 L F 0 g 334.45 260.366 m 336.079 264.038 L 324.259 260.997 L S 1. g 299.756 209.822 m 302.05 203.779 L 303.623 212.458 L F 0 g 299.756 209.822 m 302.05 203.779 L 303.623 212.458 L S 1. g 303.623 212.458 m 301.45 218.981 L 299.756 209.822 L F 0 g 303.623 212.458 m 301.45 218.981 L 299.756 209.822 L S 1. g 188.019 233.155 m 180.693 230.1 L 179.971 233.09 L F 0 g 188.019 233.155 m 180.693 230.1 L 179.971 233.09 L S 1. g 179.971 233.09 m 187.639 234.667 L 188.019 233.155 L F 0 g 179.971 233.09 m 187.639 234.667 L 188.019 233.155 L S 1. g 328.048 176.783 m 333.297 177.085 L 330.497 179.911 L F 0 g 328.048 176.783 m 333.297 177.085 L 330.497 179.911 L S 1. g 330.497 179.911 m 323.957 180.939 L 328.048 176.783 L F 0 g 330.497 179.911 m 323.957 180.939 L 328.048 176.783 L S 1. g 203.355 233.898 m 195.549 235.194 L 203.381 235.427 L 203.355 233.898 L F 0 g 203.355 233.898 m 195.549 235.194 L 203.381 235.427 L 203.355 233.898 L S 1. g 210.959 231.569 m 203.355 233.898 L 203.381 235.427 L F 0 g 210.959 231.569 m 203.355 233.898 L 203.381 235.427 L S 1. g 342.269 173.591 m 343.418 176.757 L 340.943 177.414 L F 0 g 342.269 173.591 m 343.418 176.757 L 340.943 177.414 L S 1. g 340.943 177.414 m 337.366 174.895 L 342.269 173.591 L F 0 g 340.943 177.414 m 337.366 174.895 L 342.269 173.591 L S 1. g 312.828 186.084 m 318.017 183.012 L 315.77 188.974 L F 0 g 312.828 186.084 m 318.017 183.012 L 315.77 188.974 L S 1. g 315.77 188.974 m 310.172 193.221 L 312.828 186.084 L F 0 g 315.77 188.974 m 310.172 193.221 L 312.828 186.084 L S 1. g 36.3096 262.215 m 42.2021 267.278 L 41.3338 275.676 L F 0 g 36.3096 262.215 m 42.2021 267.278 L 41.3338 275.676 L S 1. g 42.2021 267.278 m 36.3096 262.215 L 37.2038 253.873 L F 0 g 42.2021 267.278 m 36.3096 262.215 L 37.2038 253.873 L S 1. g 60.5621 337.971 m 66.312 342.58 L 65.5603 351.354 L F 0 g 60.5621 337.971 m 66.312 342.58 L 65.5603 351.354 L S 1. g 66.312 342.58 m 60.5621 337.971 L 61.3354 329.253 L F 0 g 66.312 342.58 m 60.5621 337.971 L 61.3354 329.253 L S 1. g 214.795 166.968 m 214.276 161.641 L 199.355 159.244 L F 0 g 214.795 166.968 m 214.276 161.641 L 199.355 159.244 L S 1. g 348.503 177.021 m 352.365 174.118 L 356.43 175.889 L F 0 g 348.503 177.021 m 352.365 174.118 L 356.43 175.889 L S 1. g 352.365 174.118 m 348.503 177.021 L 346.032 176.623 L F 0 g 352.365 174.118 m 348.503 177.021 L 346.032 176.623 L S 1. g 374.946 185.946 m 367.93 183.211 L 366.193 178.762 L F 0 g 374.946 185.946 m 367.93 183.211 L 366.193 178.762 L S 1. g 359.212 178.429 m 366.193 178.762 L 367.93 183.211 L F 0 g 359.212 178.429 m 366.193 178.762 L 367.93 183.211 L S 1. g 347.462 173.323 m 346.032 176.623 L 343.418 176.757 L F 0 g 347.462 173.323 m 346.032 176.623 L 343.418 176.757 L S 1. g 343.418 176.757 m 342.269 173.591 L 347.462 173.323 L F 0 g 343.418 176.757 m 342.269 173.591 L 347.462 173.323 L S 1. g 187.639 234.667 m 195.549 235.194 L 188.019 233.155 L 187.639 234.667 L F 0 g 187.639 234.667 m 195.549 235.194 L 188.019 233.155 L 187.639 234.667 L S 1. g 210.959 231.569 m 218.143 228.282 L 215.685 224.048 L F 0 g 210.959 231.569 m 218.143 228.282 L 215.685 224.048 L S 1. g 221.564 218.644 m 215.685 224.048 L 218.143 228.282 L F 0 g 221.564 218.644 m 215.685 224.048 L 218.143 228.282 L S 1. g 346.032 176.623 m 347.462 173.323 L 352.365 174.118 L F 0 g 346.032 176.623 m 347.462 173.323 L 352.365 174.118 L S 1. g 302.443 238.188 m 300.84 232.014 L 307.575 240.188 L F 0 g 302.443 238.188 m 300.84 232.014 L 307.575 240.188 L S 1. g 307.575 240.188 m 309.014 246.115 L 302.443 238.188 L F 0 g 307.575 240.188 m 309.014 246.115 L 302.443 238.188 L S 1. g 231.008 206.22 m 234.3 199.562 L 225.452 192.525 L F 0 g 231.008 206.22 m 234.3 199.562 L 225.452 192.525 L S 1. g 227.189 185.388 m 225.452 192.525 L 234.3 199.562 L F 0 g 227.189 185.388 m 225.452 192.525 L 234.3 199.562 L S 1. g 200.858 231.228 m 195.549 235.194 L 202.483 232.442 L 200.858 231.228 L F 0 g 200.858 231.228 m 195.549 235.194 L 202.483 232.442 L 200.858 231.228 L S 1. g 198.647 230.386 m 195.549 235.194 L 200.858 231.228 L 198.647 230.386 L F 0 g 198.647 230.386 m 195.549 235.194 L 200.858 231.228 L 198.647 230.386 L S 1. g 196.102 230.005 m 195.549 235.194 L 198.647 230.386 L 196.102 230.005 L F 0 g 196.102 230.005 m 195.549 235.194 L 198.647 230.386 L 196.102 230.005 L S 1. g 193.493 230.135 m 195.549 235.194 L 196.102 230.005 L 193.493 230.135 L F 0 g 193.493 230.135 m 195.549 235.194 L 196.102 230.005 L 193.493 230.135 L S 1. g 191.112 230.757 m 195.549 235.194 L 193.493 230.135 L 191.112 230.757 L F 0 g 191.112 230.757 m 195.549 235.194 L 193.493 230.135 L 191.112 230.757 L S 1. g 189.216 231.803 m 195.549 235.194 L 191.112 230.757 L 189.216 231.803 L F 0 g 189.216 231.803 m 195.549 235.194 L 191.112 230.757 L 189.216 231.803 L S 1. g 188.019 233.155 m 195.549 235.194 L 189.216 231.803 L 188.019 233.155 L F 0 g 188.019 233.155 m 195.549 235.194 L 189.216 231.803 L 188.019 233.155 L S 1. g 202.483 232.442 m 195.549 235.194 L 203.355 233.898 L 202.483 232.442 L F 0 g 202.483 232.442 m 195.549 235.194 L 203.355 233.898 L 202.483 232.442 L S 195.549 235.194 m 196.685 234.831 L S 192.715 236.101 m 195.549 235.194 L S 195.039 275.115 m 195.549 235.194 L S 1. g 171.897 216.194 m 167.257 209.688 L 162.056 215.879 L F 0 g 171.897 216.194 m 167.257 209.688 L 162.056 215.879 L S 1. g 162.056 215.879 m 167.521 221.331 L 171.897 216.194 L F 0 g 162.056 215.879 m 167.521 221.331 L 171.897 216.194 L S 1. g 363.165 259.01 m 362.478 262.803 L 349.259 264.66 L F 0 g 363.165 259.01 m 362.478 262.803 L 349.259 264.66 L S 1. g 362.478 262.803 m 363.165 259.01 L 376.155 254.457 L F 0 g 362.478 262.803 m 363.165 259.01 L 376.155 254.457 L S 1. g 377.114 249.385 m 376.155 254.457 L 363.165 259.01 L F 0 g 377.114 249.385 m 376.155 254.457 L 363.165 259.01 L S 1. g 31.2725 248.728 m 37.2038 253.873 L 36.3096 262.215 L F 0 g 31.2725 248.728 m 37.2038 253.873 L 36.3096 262.215 L S 1. g 37.2038 253.873 m 31.2725 248.728 L 32.197 240.447 L F 0 g 37.2038 253.873 m 31.2725 248.728 L 32.197 240.447 L S 1. g 55.5509 324.557 m 61.3354 329.253 L 60.5621 337.971 L F 0 g 55.5509 324.557 m 61.3354 329.253 L 60.5621 337.971 L S 1. g 61.3354 329.253 m 55.5509 324.557 L 56.3501 315.896 L F 0 g 61.3354 329.253 m 55.5509 324.557 L 56.3501 315.896 L S 1. g 366.193 178.762 m 359.212 178.429 L 356.43 175.889 L F 0 g 366.193 178.762 m 359.212 178.429 L 356.43 175.889 L S 1. g 389.474 208.176 m 385.223 202.232 L 386.726 194.085 L F 0 g 389.474 208.176 m 385.223 202.232 L 386.726 194.085 L S 1. g 381.266 189.6 m 386.726 194.085 L 385.223 202.232 L F 0 g 381.266 189.6 m 386.726 194.085 L 385.223 202.232 L S 196.685 234.831 m 200.668 233.556 L S 1. g 203.355 233.898 m 210.959 231.569 L 209.265 228.692 L F 0 g 203.355 233.898 m 210.959 231.569 L 209.265 228.692 L S 1. g 215.685 224.048 m 209.265 228.692 L 210.959 231.569 L F 0 g 215.685 224.048 m 209.265 228.692 L 210.959 231.569 L S 1. g 388.359 236.287 m 387.69 229.841 L 394.593 220.933 L F 0 g 388.359 236.287 m 387.69 229.841 L 394.593 220.933 L S 1. g 392.632 214.466 m 394.593 220.933 L 387.69 229.841 L F 0 g 392.632 214.466 m 394.593 220.933 L 387.69 229.841 L S 1. g 376.155 254.457 m 377.114 249.385 L 387.936 242.326 L F 0 g 376.155 254.457 m 377.114 249.385 L 387.936 242.326 L S 1. g 388.359 236.287 m 387.936 242.326 L 377.114 249.385 L F 0 g 388.359 236.287 m 387.936 242.326 L 377.114 249.385 L S 1. g 209.265 228.692 m 202.483 232.442 L 203.355 233.898 L F 0 g 209.265 228.692 m 202.483 232.442 L 203.355 233.898 L S 1. g 199.381 164.506 m 199.355 159.244 L 184.054 160.06 L F 0 g 199.381 164.506 m 199.355 159.244 L 184.054 160.06 L S 1. g 184.054 160.06 m 183.574 165.344 L 199.381 164.506 L F 0 g 184.054 160.06 m 183.574 165.344 L 199.381 164.506 L S 1. g 26.2267 235.215 m 32.197 240.447 L 31.2725 248.728 L F 0 g 26.2267 235.215 m 32.197 240.447 L 31.2725 248.728 L S 1. g 32.197 240.447 m 26.2267 235.215 L 27.1771 226.99 L F 0 g 32.197 240.447 m 26.2267 235.215 L 27.1771 226.99 L S 1. g 50.5267 311.118 m 56.3501 315.896 L 55.5509 324.557 L F 0 g 50.5267 311.118 m 56.3501 315.896 L 55.5509 324.557 L S 1. g 56.3501 315.896 m 50.5267 311.118 L 51.3562 302.517 L F 0 g 56.3501 315.896 m 50.5267 311.118 L 51.3562 302.517 L S 1. g 183.444 171.564 m 183.574 165.344 L 169.24 169.366 L F 0 g 183.444 171.564 m 183.574 165.344 L 169.24 169.366 L S 1. g 169.24 169.366 m 169.055 175.582 L 183.444 171.564 L F 0 g 169.24 169.366 m 169.055 175.582 L 183.444 171.564 L S 1. g 170.951 189.76 m 169.629 182.442 L 158.648 188.922 L F 0 g 170.951 189.76 m 169.629 182.442 L 158.648 188.922 L S 1. g 158.648 188.922 m 160.54 195.847 L 170.951 189.76 L F 0 g 158.648 188.922 m 160.54 195.847 L 170.951 189.76 L S 1. g 180.693 230.1 m 188.019 233.155 L 189.216 231.803 L F 0 g 180.693 230.1 m 188.019 233.155 L 189.216 231.803 L S 1. g 177.211 222.165 m 171.897 216.194 L 167.521 221.331 L F 0 g 177.211 222.165 m 171.897 216.194 L 167.521 221.331 L S 1. g 167.521 221.331 m 173.794 226.122 L 177.211 222.165 L F 0 g 167.521 221.331 m 173.794 226.122 L 177.211 222.165 L S 1. g 308.552 190.089 m 312.828 186.084 L 310.172 193.221 L F 0 g 308.552 190.089 m 312.828 186.084 L 310.172 193.221 L S 1. g 310.172 193.221 m 305.558 198.197 L 308.552 190.089 L F 0 g 310.172 193.221 m 305.558 198.197 L 308.552 190.089 L S 1. g 199.355 159.244 m 199.381 164.506 L 214.795 166.968 L F 0 g 199.355 159.244 m 199.381 164.506 L 214.795 166.968 L S 1. g 298.75 216.177 m 299.756 209.822 L 301.45 218.981 L F 0 g 298.75 216.177 m 299.756 209.822 L 301.45 218.981 L S 1. g 301.45 218.981 m 300.508 225.556 L 298.75 216.177 L F 0 g 301.45 218.981 m 300.508 225.556 L 298.75 216.177 L S 1. g 334.031 173.556 m 337.366 174.895 L 333.297 177.085 L F 0 g 334.031 173.556 m 337.366 174.895 L 333.297 177.085 L S 1. g 333.297 177.085 m 328.048 176.783 L 334.031 173.556 L F 0 g 333.297 177.085 m 328.048 176.783 L 334.031 173.556 L S 1. g 323.283 177.634 m 328.048 176.783 L 323.957 180.939 L F 0 g 323.283 177.634 m 328.048 176.783 L 323.957 180.939 L S 1. g 323.957 180.939 m 318.017 183.012 L 323.283 177.634 L F 0 g 323.957 180.939 m 318.017 183.012 L 323.283 177.634 L S 1. g 227.189 185.388 m 228.044 178.619 L 214.786 173.189 L F 0 g 227.189 185.388 m 228.044 178.619 L 214.786 173.189 L S 1. g 214.795 166.968 m 214.786 173.189 L 228.044 178.619 L F 0 g 214.795 166.968 m 214.786 173.189 L 228.044 178.619 L S 1. g 189.216 231.803 m 183.043 227.418 L 180.693 230.1 L F 0 g 189.216 231.803 m 183.043 227.418 L 180.693 230.1 L S 1. g 173.794 226.122 m 180.693 230.1 L 183.043 227.418 L F 0 g 173.794 226.122 m 180.693 230.1 L 183.043 227.418 L S 1. g 183.043 227.418 m 177.211 222.165 L 173.794 226.122 L F 0 g 183.043 227.418 m 177.211 222.165 L 173.794 226.122 L S 1. g 226.722 212.643 m 231.008 206.22 L 222.882 199.822 L F 0 g 226.722 212.643 m 231.008 206.22 L 222.882 199.822 L S 1. g 225.452 192.525 m 222.882 199.822 L 231.008 206.22 L F 0 g 225.452 192.525 m 222.882 199.822 L 231.008 206.22 L S 1. g 21.1723 221.672 m 27.1771 226.99 L 26.2267 235.215 L F 0 g 21.1723 221.672 m 27.1771 226.99 L 26.2267 235.215 L S 1. g 27.1771 226.99 m 21.1723 221.672 L 22.1443 213.507 L F 0 g 27.1771 226.99 m 21.1723 221.672 L 22.1443 213.507 L S 1. g 45.4982 297.652 m 51.3562 302.517 L 50.5267 311.118 L F 0 g 45.4982 297.652 m 51.3562 302.517 L 50.5267 311.118 L S 1. g 51.3562 302.517 m 45.4982 297.652 L 46.3493 289.112 L F 0 g 51.3562 302.517 m 45.4982 297.652 L 46.3493 289.112 L S 1. g 202.483 232.442 m 209.265 228.692 L 206.06 226.282 L F 0 g 202.483 232.442 m 209.265 228.692 L 206.06 226.282 L S 1. g 206.06 226.282 m 200.858 231.228 L 202.483 232.442 L F 0 g 206.06 226.282 m 200.858 231.228 L 202.483 232.442 L S 200.668 233.556 m 204.66 232.278 L S 1. g 381.266 189.6 m 374.946 185.946 L 372.734 180.2 L F 0 g 381.266 189.6 m 374.946 185.946 L 372.734 180.2 L S 1. g 366.193 178.762 m 372.734 180.2 L 374.946 185.946 L F 0 g 366.193 178.762 m 372.734 180.2 L 374.946 185.946 L S 1. g 315.014 255.813 m 311.511 251.372 L 321.589 257.04 L F 0 g 315.014 255.813 m 311.511 251.372 L 321.589 257.04 L S 1. g 321.589 257.04 m 324.259 260.997 L 315.014 255.813 L F 0 g 321.589 257.04 m 324.259 260.997 L 315.014 255.813 L S 1. g 183.043 227.418 m 189.216 231.803 L 191.112 230.757 L F 0 g 183.043 227.418 m 189.216 231.803 L 191.112 230.757 L S 1. g 356.43 175.889 m 362.124 175.02 L 366.193 178.762 L F 0 g 356.43 175.889 m 362.124 175.02 L 366.193 178.762 L S 1. g 362.124 175.02 m 356.43 175.889 L 352.365 174.118 L F 0 g 362.124 175.02 m 356.43 175.889 L 352.365 174.118 L S 1. g 40.4568 284.161 m 46.3493 289.112 L 45.4982 297.652 L F 0 g 40.4568 284.161 m 46.3493 289.112 L 45.4982 297.652 L S 1. g 46.3493 289.112 m 40.4568 284.161 L 41.3338 275.676 L F 0 g 46.3493 289.112 m 40.4568 284.161 L 41.3338 275.676 L S 1. g 392.632 214.466 m 389.474 208.176 L 391.167 199.29 L F 0 g 392.632 214.466 m 389.474 208.176 L 391.167 199.29 L S 1. g 386.726 194.085 m 391.167 199.29 L 389.474 208.176 L F 0 g 386.726 194.085 m 391.167 199.29 L 389.474 208.176 L S 1. g 200.858 231.228 m 206.06 226.282 L 201.696 224.601 L F 0 g 200.858 231.228 m 206.06 226.282 L 201.696 224.601 L S 204.66 232.278 m 208.665 230.995 L S 1. g 201.696 224.601 m 198.647 230.386 L 200.858 231.228 L F 0 g 201.696 224.601 m 198.647 230.386 L 200.858 231.228 L S 1. g 221.564 218.644 m 226.722 212.643 L 219.551 207.053 L F 0 g 221.564 218.644 m 226.722 212.643 L 219.551 207.053 L S 1. g 222.882 199.822 m 219.551 207.053 L 226.722 212.643 L F 0 g 222.882 199.822 m 219.551 207.053 L 226.722 212.643 L S 1. g 209.265 228.692 m 215.685 224.048 L 211.01 220.484 L F 0 g 209.265 228.692 m 215.685 224.048 L 211.01 220.484 L S 1. g 211.01 220.484 m 206.06 226.282 L 209.265 228.692 L F 0 g 211.01 220.484 m 206.06 226.282 L 209.265 228.692 L S 1. g 338.04 266.553 m 336.079 264.038 L 349.259 264.66 L F 0 g 338.04 266.553 m 336.079 264.038 L 349.259 264.66 L S 1. g 349.259 264.66 m 349.695 267.097 L 338.04 266.553 L F 0 g 349.259 264.66 m 349.695 267.097 L 338.04 266.553 L S 1. g 349.695 267.097 m 349.259 264.66 L 362.478 262.803 L F 0 g 349.695 267.097 m 349.259 264.66 L 362.478 262.803 L S 1. g 214.786 173.189 m 214.795 166.968 L 199.381 164.506 L F 0 g 214.786 173.189 m 214.795 166.968 L 199.381 164.506 L S 1. g 172.986 197.307 m 170.951 189.76 L 160.54 195.847 L F 0 g 172.986 197.307 m 170.951 189.76 L 160.54 195.847 L S 1. g 160.54 195.847 m 163.434 202.837 L 172.986 197.307 L F 0 g 160.54 195.847 m 163.434 202.837 L 172.986 197.307 L S 1. g 186.775 225.34 m 191.112 230.757 L 193.493 230.135 L F 0 g 186.775 225.34 m 191.112 230.757 L 193.493 230.135 L S 1. g 191.112 230.757 m 186.775 225.34 L 183.043 227.418 L F 0 g 191.112 230.757 m 186.775 225.34 L 183.043 227.418 L S 1. g 341.258 171.629 m 342.269 173.591 L 337.366 174.895 L F 0 g 341.258 171.629 m 342.269 173.591 L 337.366 174.895 L S 1. g 337.366 174.895 m 334.031 173.556 L 341.258 171.629 L F 0 g 337.366 174.895 m 334.031 173.556 L 341.258 171.629 L S 1. g 65.5603 351.354 m 59.7758 346.775 L 60.5621 337.971 L F 0 g 65.5603 351.354 m 59.7758 346.775 L 60.5621 337.971 L S 1. g 35.4024 270.644 m 41.3338 275.676 L 40.4568 284.161 L F 0 g 35.4024 270.644 m 41.3338 275.676 L 40.4568 284.161 L S 1. g 41.3338 275.676 m 35.4024 270.644 L 36.3096 262.215 L F 0 g 41.3338 275.676 m 35.4024 270.644 L 36.3096 262.215 L S 1. g 372.734 180.2 m 366.193 178.762 L 362.124 175.02 L F 0 g 372.734 180.2 m 366.193 178.762 L 362.124 175.02 L S 1. g 305.299 243.894 m 302.443 238.188 L 309.014 246.115 L F 0 g 305.299 243.894 m 302.443 238.188 L 309.014 246.115 L S 1. g 309.014 246.115 m 311.511 251.372 L 305.299 243.894 L F 0 g 309.014 246.115 m 311.511 251.372 L 305.299 243.894 L S 1. g 387.936 242.326 m 388.359 236.287 L 395.297 227.409 L F 0 g 387.936 242.326 m 388.359 236.287 L 395.297 227.409 L S 1. g 394.593 220.933 m 395.297 227.409 L 388.359 236.287 L F 0 g 394.593 220.933 m 395.297 227.409 L 388.359 236.287 L S 1. g 215.685 224.048 m 221.564 218.644 L 215.551 214.013 L F 0 g 215.685 224.048 m 221.564 218.644 L 215.551 214.013 L S 1. g 219.551 207.053 m 215.551 214.013 L 221.564 218.644 L F 0 g 219.551 207.053 m 215.551 214.013 L 221.564 218.644 L S 1. g 215.551 214.013 m 211.01 220.484 L 215.685 224.048 L F 0 g 215.551 214.013 m 211.01 220.484 L 215.685 224.048 L S 1. g 327.599 263.87 m 324.259 260.997 L 336.079 264.038 L F 0 g 327.599 263.87 m 324.259 260.997 L 336.079 264.038 L S 1. g 336.079 264.038 m 338.04 266.553 L 327.599 263.87 L F 0 g 336.079 264.038 m 338.04 266.553 L 327.599 263.87 L S 1. g 198.647 230.386 m 201.696 224.601 L 196.651 223.845 L F 0 g 198.647 230.386 m 201.696 224.601 L 196.651 223.845 L S 1. g 196.651 223.845 m 196.102 230.005 L 198.647 230.386 L F 0 g 196.651 223.845 m 196.102 230.005 L 198.647 230.386 L S 208.665 230.995 m 212.682 229.712 L S 1. g 305.307 194.927 m 308.552 190.089 L 305.558 198.197 L F 0 g 305.307 194.927 m 308.552 190.089 L 305.558 198.197 L S 1. g 305.558 198.197 m 302.05 203.779 L 305.307 194.927 L F 0 g 305.558 198.197 m 302.05 203.779 L 305.307 194.927 L S 1. g 191.484 224.1 m 193.493 230.135 L 196.102 230.005 L F 0 g 191.484 224.1 m 193.493 230.135 L 196.102 230.005 L S 1. g 193.493 230.135 m 191.484 224.1 L 186.775 225.34 L F 0 g 193.493 230.135 m 191.484 224.1 L 186.775 225.34 L S 1. g 352.365 174.118 m 356.145 172.407 L 362.124 175.02 L F 0 g 352.365 174.118 m 356.145 172.407 L 362.124 175.02 L S 1. g 356.145 172.407 m 352.365 174.118 L 347.462 173.323 L F 0 g 356.145 172.407 m 352.365 174.118 L 347.462 173.323 L S 1. g 196.102 230.005 m 196.651 223.845 L 191.484 224.1 L F 0 g 196.102 230.005 m 196.651 223.845 L 191.484 224.1 L S 1. g 177.211 222.165 m 183.043 227.418 L 186.775 225.34 L F 0 g 177.211 222.165 m 183.043 227.418 L 186.775 225.34 L S 1. g 30.3437 257.096 m 36.3096 262.215 L 35.4024 270.644 L F 0 g 30.3437 257.096 m 36.3096 262.215 L 35.4024 270.644 L S 1. g 36.3096 262.215 m 30.3437 257.096 L 31.2725 248.728 L F 0 g 36.3096 262.215 m 30.3437 257.096 L 31.2725 248.728 L S 1. g 54.7387 333.305 m 60.5621 337.971 L 59.7758 346.775 L F 0 g 54.7387 333.305 m 60.5621 337.971 L 59.7758 346.775 L S 1. g 60.5621 337.971 m 54.7387 333.305 L 55.5509 324.557 L F 0 g 60.5621 337.971 m 54.7387 333.305 L 55.5509 324.557 L S 1. g 225.452 192.525 m 227.189 185.388 L 214.25 180.127 L F 0 g 225.452 192.525 m 227.189 185.388 L 214.25 180.127 L S 1. g 214.786 173.189 m 214.25 180.127 L 227.189 185.388 L F 0 g 214.786 173.189 m 214.25 180.127 L 227.189 185.388 L S 1. g 183.669 178.559 m 183.444 171.564 L 169.055 175.582 L F 0 g 183.669 178.559 m 183.444 171.564 L 169.055 175.582 L S 1. g 169.055 175.582 m 169.629 182.442 L 183.669 178.559 L F 0 g 169.055 175.582 m 169.629 182.442 L 183.669 178.559 L S 1. g 299.074 222.666 m 298.75 216.177 L 300.508 225.556 L F 0 g 299.074 222.666 m 298.75 216.177 L 300.508 225.556 L S 1. g 300.508 225.556 m 300.84 232.014 L 299.074 222.666 L F 0 g 300.508 225.556 m 300.84 232.014 L 299.074 222.666 L S 1. g 376.155 254.457 m 374.414 258.634 L 362.478 262.803 L F 0 g 376.155 254.457 m 374.414 258.634 L 362.478 262.803 L S 1. g 374.414 258.634 m 376.155 254.457 L 386.42 247.8 L F 0 g 374.414 258.634 m 376.155 254.457 L 386.42 247.8 L S 1. g 387.936 242.326 m 386.42 247.8 L 376.155 254.457 L F 0 g 387.936 242.326 m 386.42 247.8 L 376.155 254.457 L S 1. g 319.136 179.63 m 323.283 177.634 L 318.017 183.012 L F 0 g 319.136 179.63 m 323.283 177.634 L 318.017 183.012 L S 1. g 318.017 183.012 m 312.828 186.084 L 319.136 179.63 L F 0 g 318.017 183.012 m 312.828 186.084 L 319.136 179.63 L S 1. g 348.918 171.232 m 347.462 173.323 L 342.269 173.591 L F 0 g 348.918 171.232 m 347.462 173.323 L 342.269 173.591 L S 1. g 342.269 173.591 m 341.258 171.629 L 348.918 171.232 L F 0 g 342.269 173.591 m 341.258 171.629 L 348.918 171.232 L S 1. g 199.312 170.735 m 199.381 164.506 L 183.574 165.344 L F 0 g 199.312 170.735 m 199.381 164.506 L 183.574 165.344 L S 1. g 183.574 165.344 m 183.444 171.564 L 199.312 170.735 L F 0 g 183.574 165.344 m 183.444 171.564 L 199.312 170.735 L S 1. g 386.726 194.085 m 381.266 189.6 L 378.657 182.71 L F 0 g 386.726 194.085 m 381.266 189.6 L 378.657 182.71 L S 1. g 372.734 180.2 m 378.657 182.71 L 381.266 189.6 L F 0 g 372.734 180.2 m 378.657 182.71 L 381.266 189.6 L S 1. g 347.462 173.323 m 348.918 171.232 L 356.145 172.407 L F 0 g 347.462 173.323 m 348.918 171.232 L 356.145 172.407 L S 1. g 175.673 204.863 m 172.986 197.307 L 163.434 202.837 L F 0 g 175.673 204.863 m 172.986 197.307 L 163.434 202.837 L S 1. g 163.434 202.837 m 167.257 209.688 L 175.673 204.863 L F 0 g 163.434 202.837 m 167.257 209.688 L 175.673 204.863 L S 1. g 362.478 262.803 m 361.39 265.46 L 349.695 267.097 L F 0 g 362.478 262.803 m 361.39 265.46 L 349.695 267.097 L S 1. g 361.39 265.46 m 362.478 262.803 L 374.414 258.634 L F 0 g 361.39 265.46 m 362.478 262.803 L 374.414 258.634 L S 1. g 25.272 243.523 m 31.2725 248.728 L 30.3437 257.096 L F 0 g 25.272 243.523 m 31.2725 248.728 L 30.3437 257.096 L S 1. g 31.2725 248.728 m 25.272 243.523 L 26.2267 235.215 L F 0 g 31.2725 248.728 m 25.272 243.523 L 26.2267 235.215 L S 1. g 49.693 319.805 m 55.5509 324.557 L 54.7387 333.305 L F 0 g 49.693 319.805 m 55.5509 324.557 L 54.7387 333.305 L S 1. g 55.5509 324.557 m 49.693 319.805 L 50.5267 311.118 L F 0 g 55.5509 324.557 m 49.693 319.805 L 50.5267 311.118 L S 212.682 229.712 m 216.708 228.42 L S 1. g 331.029 173.448 m 334.031 173.556 L 328.048 176.783 L F 0 g 331.029 173.448 m 334.031 173.556 L 328.048 176.783 L S 1. g 328.048 176.783 m 323.283 177.634 L 331.029 173.448 L F 0 g 328.048 176.783 m 323.283 177.634 L 331.029 173.448 L S 1. g 206.06 226.282 m 211.01 220.484 L 204.608 218. L F 0 g 206.06 226.282 m 211.01 220.484 L 204.608 218. L S 1. g 204.608 218. m 201.696 224.601 L 206.06 226.282 L F 0 g 204.608 218. m 201.696 224.601 L 206.06 226.282 L S 1. g 199.381 164.506 m 199.312 170.735 L 214.786 173.189 L F 0 g 199.381 164.506 m 199.312 170.735 L 214.786 173.189 L S 1. g 186.775 225.34 m 182.676 219.093 L 177.211 222.165 L F 0 g 186.775 225.34 m 182.676 219.093 L 177.211 222.165 L S 1. g 171.897 216.194 m 177.211 222.165 L 182.676 219.093 L F 0 g 171.897 216.194 m 177.211 222.165 L 182.676 219.093 L S 1. g 394.593 220.933 m 392.632 214.466 L 394.464 205.088 L F 0 g 394.593 220.933 m 392.632 214.466 L 394.464 205.088 L S 1. g 391.167 199.29 m 394.464 205.088 L 392.632 214.466 L F 0 g 391.167 199.29 m 394.464 205.088 L 392.632 214.466 L S 1. g 178.939 212.198 m 175.673 204.863 L 167.257 209.688 L F 0 g 178.939 212.198 m 175.673 204.863 L 167.257 209.688 L S 1. g 167.257 209.688 m 171.897 216.194 L 178.939 212.198 L F 0 g 167.257 209.688 m 171.897 216.194 L 178.939 212.198 L S 1. g 20.1874 229.923 m 26.2267 235.215 L 25.272 243.523 L F 0 g 20.1874 229.923 m 26.2267 235.215 L 25.272 243.523 L S 1. g 26.2267 235.215 m 20.1874 229.923 L 21.1723 221.672 L F 0 g 26.2267 235.215 m 20.1874 229.923 L 21.1723 221.672 L S 1. g 44.6342 306.284 m 50.5267 311.118 L 49.693 319.805 L F 0 g 44.6342 306.284 m 50.5267 311.118 L 49.693 319.805 L S 1. g 50.5267 311.118 m 44.6342 306.284 L 45.4982 297.652 L F 0 g 50.5267 311.118 m 44.6342 306.284 L 45.4982 297.652 L S 1. g 182.676 219.093 m 178.939 212.198 L 171.897 216.194 L F 0 g 182.676 219.093 m 178.939 212.198 L 171.897 216.194 L S 1. g 182.676 219.093 m 186.775 225.34 L 191.484 224.1 L F 0 g 182.676 219.093 m 186.775 225.34 L 191.484 224.1 L S 1. g 222.882 199.822 m 225.452 192.525 L 213.192 187.583 L F 0 g 222.882 199.822 m 225.452 192.525 L 213.192 187.583 L S 1. g 214.25 180.127 m 213.192 187.583 L 225.452 192.525 L F 0 g 214.25 180.127 m 213.192 187.583 L 225.452 192.525 L S 216.708 228.42 m 220.748 227.128 L S 1. g 214.25 180.127 m 214.786 173.189 L 199.312 170.735 L F 0 g 214.25 180.127 m 214.786 173.189 L 199.312 170.735 L S 1. g 319.451 259.304 m 315.014 255.813 L 324.259 260.997 L F 0 g 319.451 259.304 m 315.014 255.813 L 324.259 260.997 L S 1. g 324.259 260.997 m 327.599 263.87 L 319.451 259.304 L F 0 g 324.259 260.997 m 327.599 263.87 L 319.451 259.304 L S 1. g 39.5669 292.732 m 45.4982 297.652 L 44.6342 306.284 L F 0 g 39.5669 292.732 m 45.4982 297.652 L 44.6342 306.284 L S 1. g 45.4982 297.652 m 39.5669 292.732 L 40.4568 284.161 L F 0 g 45.4982 297.652 m 39.5669 292.732 L 40.4568 284.161 L S 1. g 303.195 200.474 m 305.307 194.927 L 302.05 203.779 L F 0 g 303.195 200.474 m 305.307 194.927 L 302.05 203.779 L S 1. g 302.05 203.779 m 299.756 209.822 L 303.195 200.474 L F 0 g 302.05 203.779 m 299.756 209.822 L 303.195 200.474 L S 1. g 362.124 175.02 m 367.485 175.349 L 372.734 180.2 L F 0 g 362.124 175.02 m 367.485 175.349 L 372.734 180.2 L S 1. g 367.485 175.349 m 362.124 175.02 L 356.145 172.407 L F 0 g 367.485 175.349 m 362.124 175.02 L 356.145 172.407 L S 1. g 201.696 224.601 m 204.608 218. L 197.191 216.881 L F 0 g 201.696 224.601 m 204.608 218. L 197.191 216.881 L S 1. g 197.191 216.881 m 196.651 223.845 L 201.696 224.601 L F 0 g 197.191 216.881 m 196.651 223.845 L 201.696 224.601 L S 1. g 184.248 186.11 m 183.669 178.559 L 169.629 182.442 L F 0 g 184.248 186.11 m 183.669 178.559 L 169.629 182.442 L S 1. g 169.629 182.442 m 170.951 189.76 L 184.248 186.11 L F 0 g 169.629 182.442 m 170.951 189.76 L 184.248 186.11 L S 1. g 211.01 220.484 m 215.551 214.013 L 207.291 210.777 L F 0 g 211.01 220.484 m 215.551 214.013 L 207.291 210.777 L S 1. g 207.291 210.777 m 204.608 218. L 211.01 220.484 L F 0 g 207.291 210.777 m 204.608 218. L 211.01 220.484 L S 1. g 378.657 182.71 m 372.734 180.2 L 367.485 175.349 L F 0 g 378.657 182.71 m 372.734 180.2 L 367.485 175.349 L S 1. g 386.42 247.8 m 387.936 242.326 L 394.705 233.716 L F 0 g 386.42 247.8 m 387.936 242.326 L 394.705 233.716 L S 1. g 395.297 227.409 m 394.705 233.716 L 387.936 242.326 L F 0 g 395.297 227.409 m 394.705 233.716 L 387.936 242.326 L S 1. g 189.596 217.257 m 191.484 224.1 L 196.651 223.845 L F 0 g 189.596 217.257 m 191.484 224.1 L 196.651 223.845 L S 1. g 191.484 224.1 m 189.596 217.257 L 182.676 219.093 L F 0 g 191.484 224.1 m 189.596 217.257 L 182.676 219.093 L S 1. g 309.342 248.983 m 305.299 243.894 L 311.511 251.372 L F 0 g 309.342 248.983 m 305.299 243.894 L 311.511 251.372 L S 1. g 311.511 251.372 m 315.014 255.813 L 309.342 248.983 L F 0 g 311.511 251.372 m 315.014 255.813 L 309.342 248.983 L S 220.748 227.128 m 224.8 225.832 L S 1. g 34.4909 279.154 m 40.4568 284.161 L 39.5669 292.732 L F 0 g 34.4909 279.154 m 40.4568 284.161 L 39.5669 292.732 L S 1. g 40.4568 284.161 m 34.4909 279.154 L 35.4024 270.644 L F 0 g 40.4568 284.161 m 34.4909 279.154 L 35.4024 270.644 L S 1. g 196.651 223.845 m 197.191 216.881 L 189.596 217.257 L F 0 g 196.651 223.845 m 197.191 216.881 L 189.596 217.257 L S 1. g 219.551 207.053 m 222.882 199.822 L 211.65 195.333 L F 0 g 219.551 207.053 m 222.882 199.822 L 211.65 195.333 L S 1. g 213.192 187.583 m 211.65 195.333 L 222.882 199.822 L F 0 g 213.192 187.583 m 211.65 195.333 L 222.882 199.822 L S 1. g 300.741 229.12 m 299.074 222.666 L 300.84 232.014 L F 0 g 300.741 229.12 m 299.074 222.666 L 300.84 232.014 L S 1. g 300.84 232.014 m 302.443 238.188 L 300.741 229.12 L F 0 g 300.84 232.014 m 302.443 238.188 L 300.741 229.12 L S 1. g 391.167 199.29 m 386.726 194.085 L 383.789 186.244 L F 0 g 391.167 199.29 m 386.726 194.085 L 383.789 186.244 L S 1. g 378.657 182.71 m 383.789 186.244 L 386.726 194.085 L F 0 g 378.657 182.71 m 383.789 186.244 L 386.726 194.085 L S 1. g 315.727 182.736 m 319.136 179.63 L 312.828 186.084 L F 0 g 315.727 182.736 m 319.136 179.63 L 312.828 186.084 L S 1. g 312.828 186.084 m 308.552 190.089 L 315.727 182.736 L F 0 g 312.828 186.084 m 308.552 190.089 L 315.727 182.736 L S 1. g 199.152 177.751 m 199.312 170.735 L 183.444 171.564 L F 0 g 199.152 177.751 m 199.312 170.735 L 183.444 171.564 L S 1. g 183.444 171.564 m 183.669 178.559 L 199.152 177.751 L F 0 g 183.444 171.564 m 183.669 178.559 L 199.152 177.751 L S 1. g 215.551 214.013 m 219.551 207.053 L 209.663 203.144 L F 0 g 215.551 214.013 m 219.551 207.053 L 209.663 203.144 L S 1. g 209.663 203.144 m 207.291 210.777 L 215.551 214.013 L F 0 g 209.663 203.144 m 207.291 210.777 L 215.551 214.013 L S 1. g 340.407 170.947 m 341.258 171.629 L 334.031 173.556 L F 0 g 340.407 170.947 m 341.258 171.629 L 334.031 173.556 L S 1. g 334.031 173.556 m 331.029 173.448 L 340.407 170.947 L F 0 g 334.031 173.556 m 331.029 173.448 L 340.407 170.947 L S 1. g 211.65 195.333 m 209.663 203.144 L 219.551 207.053 L F 0 g 211.65 195.333 m 209.663 203.144 L 219.551 207.053 L S 1. g 178.939 212.198 m 182.676 219.093 L 189.596 217.257 L F 0 g 178.939 212.198 m 182.676 219.093 L 189.596 217.257 L S 1. g 340.291 267.81 m 338.04 266.553 L 349.695 267.097 L F 0 g 340.291 267.81 m 338.04 266.553 L 349.695 267.097 L S 1. g 349.695 267.097 m 350.084 268.268 L 340.291 267.81 L F 0 g 349.695 267.097 m 350.084 268.268 L 340.291 267.81 L S 1. g 350.084 268.268 m 349.695 267.097 L 361.39 265.46 L F 0 g 350.084 268.268 m 349.695 267.097 L 361.39 265.46 L S 1. g 59.7758 346.775 m 53.9222 342.14 L 54.7387 333.305 L F 0 g 59.7758 346.775 m 53.9222 342.14 L 54.7387 333.305 L S 1. g 29.4019 265.546 m 35.4024 270.644 L 34.4909 279.154 L F 0 g 29.4019 265.546 m 35.4024 270.644 L 34.4909 279.154 L S 1. g 35.4024 270.644 m 29.4019 265.546 L 30.3437 257.096 L F 0 g 35.4024 270.644 m 29.4019 265.546 L 30.3437 257.096 L S 1. g 199.312 170.735 m 199.152 177.751 L 214.25 180.127 L F 0 g 199.312 170.735 m 199.152 177.751 L 214.25 180.127 L S 1. g 395.297 227.409 m 394.593 220.933 L 396.503 211.321 L F 0 g 395.297 227.409 m 394.593 220.933 L 396.503 211.321 L S 1. g 394.464 205.088 m 396.503 211.321 L 394.593 220.933 L F 0 g 394.464 205.088 m 396.503 211.321 L 394.593 220.933 L S 1. g 185.16 193.994 m 184.248 186.11 L 170.951 189.76 L F 0 g 185.16 193.994 m 184.248 186.11 L 170.951 189.76 L S 1. g 170.951 189.76 m 172.986 197.307 L 185.16 193.994 L F 0 g 170.951 189.76 m 172.986 197.307 L 185.16 193.994 L S 224.8 225.832 m 228.865 224.528 L S 1. g 331.53 265.559 m 327.599 263.87 L 338.04 266.553 L F 0 g 331.53 265.559 m 327.599 263.87 L 338.04 266.553 L S 1. g 338.04 266.553 m 340.291 267.81 L 331.53 265.559 L F 0 g 338.04 266.553 m 340.291 267.81 L 331.53 265.559 L S 1. g 374.414 258.634 m 371.93 261.788 L 361.39 265.46 L F 0 g 374.414 258.634 m 371.93 261.788 L 361.39 265.46 L S 1. g 371.93 261.788 m 374.414 258.634 L 383.832 252.547 L F 0 g 371.93 261.788 m 374.414 258.634 L 383.832 252.547 L S 1. g 386.42 247.8 m 383.832 252.547 L 374.414 258.634 L F 0 g 386.42 247.8 m 383.832 252.547 L 374.414 258.634 L S 1. g 213.192 187.583 m 214.25 180.127 L 199.152 177.751 L F 0 g 213.192 187.583 m 214.25 180.127 L 199.152 177.751 L S 1. g 356.145 172.407 m 359.739 171.958 L 367.485 175.349 L F 0 g 356.145 172.407 m 359.739 171.958 L 367.485 175.349 L S 1. g 359.739 171.958 m 356.145 172.407 L 348.918 171.232 L F 0 g 359.739 171.958 m 356.145 172.407 L 348.918 171.232 L S 1. g 24.3043 251.912 m 30.3437 257.096 L 29.4019 265.546 L F 0 g 24.3043 251.912 m 30.3437 257.096 L 29.4019 265.546 L S 1. g 30.3437 257.096 m 24.3043 251.912 L 25.272 243.523 L F 0 g 30.3437 257.096 m 24.3043 251.912 L 25.272 243.523 L S 1. g 48.8506 328.583 m 54.7387 333.305 L 53.9222 342.14 L F 0 g 48.8506 328.583 m 54.7387 333.305 L 53.9222 342.14 L S 1. g 54.7387 333.305 m 48.8506 328.583 L 49.693 319.805 L F 0 g 54.7387 333.305 m 48.8506 328.583 L 49.693 319.805 L S 1. g 204.608 218. m 207.291 210.777 L 197.7 209.317 L F 0 g 204.608 218. m 207.291 210.777 L 197.7 209.317 L S 1. g 197.7 209.317 m 197.191 216.881 L 204.608 218. L F 0 g 197.7 209.317 m 197.191 216.881 L 204.608 218. L S 1. g 328.45 174.597 m 331.029 173.448 L 323.283 177.634 L F 0 g 328.45 174.597 m 331.029 173.448 L 323.283 177.634 L S 1. g 323.283 177.634 m 319.136 179.63 L 328.45 174.597 L F 0 g 323.283 177.634 m 319.136 179.63 L 328.45 174.597 L S 1. g 189.596 217.257 m 187.877 209.809 L 178.939 212.198 L F 0 g 189.596 217.257 m 187.877 209.809 L 178.939 212.198 L S 1. g 175.673 204.863 m 178.939 212.198 L 187.877 209.809 L F 0 g 175.673 204.863 m 178.939 212.198 L 187.877 209.809 L S 1. g 350.361 170.428 m 348.918 171.232 L 341.258 171.629 L F 0 g 350.361 170.428 m 348.918 171.232 L 341.258 171.629 L S 1. g 341.258 171.629 m 340.407 170.947 L 350.361 170.428 L F 0 g 341.258 171.629 m 340.407 170.947 L 350.361 170.428 L S 1. g 186.382 201.977 m 185.16 193.994 L 172.986 197.307 L F 0 g 186.382 201.977 m 185.16 193.994 L 172.986 197.307 L S 1. g 172.986 197.307 m 175.673 204.863 L 186.382 201.977 L F 0 g 172.986 197.307 m 175.673 204.863 L 186.382 201.977 L S 1. g 302.288 206.591 m 303.195 200.474 L 299.756 209.822 L F 0 g 302.288 206.591 m 303.195 200.474 L 299.756 209.822 L S 1. g 299.756 209.822 m 298.75 216.177 L 302.288 206.591 L F 0 g 299.756 209.822 m 298.75 216.177 L 302.288 206.591 L S 1. g 361.39 265.46 m 359.908 266.894 L 350.084 268.268 L F 0 g 361.39 265.46 m 359.908 266.894 L 350.084 268.268 L S 1. g 359.908 266.894 m 361.39 265.46 L 371.93 261.788 L F 0 g 359.908 266.894 m 361.39 265.46 L 371.93 261.788 L S 1. g 187.877 209.809 m 189.596 217.257 L 197.191 216.881 L F 0 g 187.877 209.809 m 189.596 217.257 L 197.191 216.881 L S 228.865 224.528 m 232.939 223.223 L S 1. g 19.1938 238.252 m 25.272 243.523 L 24.3043 251.912 L F 0 g 19.1938 238.252 m 25.272 243.523 L 24.3043 251.912 L S 1. g 25.272 243.523 m 19.1938 238.252 L 20.1874 229.923 L F 0 g 25.272 243.523 m 19.1938 238.252 L 20.1874 229.923 L S 1. g 43.7659 315.001 m 49.693 319.805 L 48.8506 328.583 L F 0 g 43.7659 315.001 m 49.693 319.805 L 48.8506 328.583 L S 1. g 49.693 319.805 m 43.7659 315.001 L 44.6342 306.284 L F 0 g 49.693 319.805 m 43.7659 315.001 L 44.6342 306.284 L S 1. g 187.877 209.809 m 186.382 201.977 L 175.673 204.863 L F 0 g 187.877 209.809 m 186.382 201.977 L 175.673 204.863 L S 1. g 348.918 171.232 m 350.361 170.428 L 359.739 171.958 L F 0 g 348.918 171.232 m 350.361 170.428 L 359.739 171.958 L S 1. g 197.191 216.881 m 197.7 209.317 L 187.877 209.809 L F 0 g 197.191 216.881 m 197.7 209.317 L 187.877 209.809 L S 1. g 198.901 185.35 m 199.152 177.751 L 183.669 178.559 L F 0 g 198.901 185.35 m 199.152 177.751 L 183.669 178.559 L S 1. g 183.669 178.559 m 184.248 186.11 L 198.901 185.35 L F 0 g 183.669 178.559 m 184.248 186.11 L 198.901 185.35 L S 1. g 211.65 195.333 m 213.192 187.583 L 198.901 185.35 L F 0 g 211.65 195.333 m 213.192 187.583 L 198.901 185.35 L S 1. g 199.152 177.751 m 198.901 185.35 L 213.192 187.583 L F 0 g 199.152 177.751 m 198.901 185.35 L 213.192 187.583 L S 1. g 383.789 186.244 m 378.657 182.71 L 372.371 176.882 L F 0 g 383.789 186.244 m 378.657 182.71 L 372.371 176.882 L S 1. g 367.485 175.349 m 372.371 176.882 L 378.657 182.71 L F 0 g 367.485 175.349 m 372.371 176.882 L 378.657 182.71 L S 1. g 394.464 205.088 m 391.167 199.29 L 387.984 190.724 L F 0 g 394.464 205.088 m 391.167 199.29 L 387.984 190.724 L S 1. g 383.789 186.244 m 387.984 190.724 L 391.167 199.29 L F 0 g 383.789 186.244 m 387.984 190.724 L 391.167 199.29 L S 1. g 38.6726 301.389 m 44.6342 306.284 L 43.7659 315.001 L F 0 g 38.6726 301.389 m 44.6342 306.284 L 43.7659 315.001 L S 1. g 44.6342 306.284 m 38.6726 301.389 L 39.5669 292.732 L F 0 g 44.6342 306.284 m 38.6726 301.389 L 39.5669 292.732 L S 1. g 207.291 210.777 m 209.663 203.144 L 198.167 201.377 L F 0 g 207.291 210.777 m 209.663 203.144 L 198.167 201.377 L S 1. g 198.167 201.377 m 197.7 209.317 L 207.291 210.777 L F 0 g 198.167 201.377 m 197.7 209.317 L 207.291 210.777 L S 1. g 383.832 252.547 m 386.42 247.8 L 392.822 239.687 L F 0 g 383.832 252.547 m 386.42 247.8 L 392.822 239.687 L S 1. g 394.705 233.716 m 392.822 239.687 L 386.42 247.8 L F 0 g 394.705 233.716 m 392.822 239.687 L 386.42 247.8 L S 1. g 303.709 235.354 m 300.741 229.12 L 302.443 238.188 L F 0 g 303.709 235.354 m 300.741 229.12 L 302.443 238.188 L S 1. g 302.443 238.188 m 305.299 243.894 L 303.709 235.354 L F 0 g 302.443 238.188 m 305.299 243.894 L 303.709 235.354 L S 232.939 223.223 m 237.025 221.914 L S 1. g 313.17 186.883 m 315.727 182.736 L 308.552 190.089 L F 0 g 313.17 186.883 m 315.727 182.736 L 308.552 190.089 L S 1. g 308.552 190.089 m 305.307 194.927 L 313.17 186.883 L F 0 g 308.552 190.089 m 305.307 194.927 L 313.17 186.883 L S 1. g 372.371 176.882 m 367.485 175.349 L 359.739 171.958 L F 0 g 372.371 176.882 m 367.485 175.349 L 359.739 171.958 L S 1. g 324.708 261.736 m 319.451 259.304 L 327.599 263.87 L F 0 g 324.708 261.736 m 319.451 259.304 L 327.599 263.87 L S 1. g 327.599 263.87 m 331.53 265.559 L 324.708 261.736 L F 0 g 327.599 263.87 m 331.53 265.559 L 324.708 261.736 L S 1. g 209.663 203.144 m 211.65 195.333 L 198.569 193.307 L F 0 g 209.663 203.144 m 211.65 195.333 L 198.569 193.307 L S 1. g 198.901 185.35 m 198.569 193.307 L 211.65 195.333 L F 0 g 198.901 185.35 m 198.569 193.307 L 211.65 195.333 L S 1. g 314.474 253.303 m 309.342 248.983 L 315.014 255.813 L F 0 g 314.474 253.303 m 309.342 248.983 L 315.014 255.813 L S 1. g 315.014 255.813 m 319.451 259.304 L 314.474 253.303 L F 0 g 315.014 255.813 m 319.451 259.304 L 314.474 253.303 L S 1. g 198.569 193.307 m 198.167 201.377 L 209.663 203.144 L F 0 g 198.569 193.307 m 198.167 201.377 L 209.663 203.144 L S 1. g 33.5664 287.751 m 39.5669 292.732 L 38.6726 301.389 L F 0 g 33.5664 287.751 m 39.5669 292.732 L 38.6726 301.389 L S 1. g 39.5669 292.732 m 33.5664 287.751 L 34.4909 279.154 L F 0 g 39.5669 292.732 m 33.5664 287.751 L 34.4909 279.154 L S 1. g 186.382 201.977 m 187.877 209.809 L 197.7 209.317 L F 0 g 186.382 201.977 m 187.877 209.809 L 197.7 209.317 L S 1. g 394.705 233.716 m 395.297 227.409 L 397.224 217.827 L F 0 g 394.705 233.716 m 395.297 227.409 L 397.224 217.827 L S 1. g 396.503 211.321 m 397.224 217.827 L 395.297 227.409 L F 0 g 396.503 211.321 m 397.224 217.827 L 395.297 227.409 L S 1. g 198.569 193.307 m 198.901 185.35 L 184.248 186.11 L F 0 g 198.569 193.307 m 198.901 185.35 L 184.248 186.11 L S 1. g 184.248 186.11 m 185.16 193.994 L 198.569 193.307 L F 0 g 184.248 186.11 m 185.16 193.994 L 198.569 193.307 L S 1. g 197.7 209.317 m 198.167 201.377 L 186.382 201.977 L F 0 g 197.7 209.317 m 198.167 201.377 L 186.382 201.977 L S 198.556 270.445 m 189.043 268.859 L S 201.273 265.088 m 198.556 270.445 L S 195.039 275.115 m 198.556 270.445 L S 237.025 221.914 m 241.125 220.605 L S 1. g 28.4515 274.082 m 34.4909 279.154 L 33.5664 287.751 L F 0 g 28.4515 274.082 m 34.4909 279.154 L 33.5664 287.751 L S 1. g 34.4909 279.154 m 28.4515 274.082 L 29.4019 265.546 L F 0 g 34.4909 279.154 m 28.4515 274.082 L 29.4019 265.546 L S 1. g 185.16 193.994 m 186.382 201.977 L 198.167 201.377 L F 0 g 185.16 193.994 m 186.382 201.977 L 198.167 201.377 L S 1. g 198.167 201.377 m 198.569 193.307 L 185.16 193.994 L F 0 g 198.167 201.377 m 198.569 193.307 L 185.16 193.994 L S 1. g 339.751 171.586 m 340.407 170.947 L 331.029 173.448 L F 0 g 339.751 171.586 m 340.407 170.947 L 331.029 173.448 L S 1. g 331.029 173.448 m 328.45 174.597 L 339.751 171.586 L F 0 g 331.029 173.448 m 328.45 174.597 L 339.751 171.586 L S 1. g 302.633 213.114 m 302.288 206.591 L 298.75 216.177 L F 0 g 302.633 213.114 m 302.288 206.591 L 298.75 216.177 L S 1. g 298.75 216.177 m 299.074 222.666 L 302.633 213.114 L F 0 g 298.75 216.177 m 299.074 222.666 L 302.633 213.114 L S 1. g 53.9222 342.14 m 47.9995 337.448 L 48.8506 328.583 L F 0 g 53.9222 342.14 m 47.9995 337.448 L 48.8506 328.583 L S 1. g 23.328 260.388 m 29.4019 265.546 L 28.4515 274.082 L F 0 g 23.328 260.388 m 29.4019 265.546 L 28.4515 274.082 L S 1. g 29.4019 265.546 m 23.328 260.388 L 24.3043 251.912 L F 0 g 29.4019 265.546 m 23.328 260.388 L 24.3043 251.912 L S 1. g 371.93 261.788 m 368.755 263.814 L 359.908 266.894 L F 0 g 371.93 261.788 m 368.755 263.814 L 359.908 266.894 L S 1. g 383.832 252.547 m 380.229 256.435 L 371.93 261.788 L F 0 g 383.832 252.547 m 380.229 256.435 L 371.93 261.788 L S 1. g 368.755 263.814 m 371.93 261.788 L 380.229 256.435 L F 0 g 368.755 263.814 m 371.93 261.788 L 380.229 256.435 L S 1. g 326.367 176.995 m 328.45 174.597 L 319.136 179.63 L F 0 g 326.367 176.995 m 328.45 174.597 L 319.136 179.63 L S 1. g 319.136 179.63 m 315.727 182.736 L 326.367 176.995 L F 0 g 319.136 179.63 m 315.727 182.736 L 326.367 176.995 L S 241.125 220.605 m 245.238 219.288 L S 1. g 342.779 267.754 m 340.291 267.81 L 350.084 268.268 L F 0 g 342.779 267.754 m 340.291 267.81 L 350.084 268.268 L S 1. g 350.084 268.268 m 350.417 268.112 L 342.779 267.754 L F 0 g 350.084 268.268 m 350.417 268.112 L 342.779 267.754 L S 1. g 350.417 268.112 m 350.084 268.268 L 359.908 266.894 L F 0 g 350.417 268.112 m 350.084 268.268 L 359.908 266.894 L S 189.043 268.859 m 191.704 263.481 L S 189.043 268.859 m 195.039 275.115 L S 1. g 387.984 190.724 m 391.107 196.033 L 394.464 205.088 L F 0 g 387.984 190.724 m 391.107 196.033 L 394.464 205.088 L S 1. g 396.503 211.321 m 394.464 205.088 L 391.107 196.033 L F 0 g 396.503 211.321 m 394.464 205.088 L 391.107 196.033 L S 1. g 18.1915 246.668 m 24.3043 251.912 L 23.328 260.388 L F 0 g 18.1915 246.668 m 24.3043 251.912 L 23.328 260.388 L S 1. g 24.3043 251.912 m 18.1915 246.668 L 19.1938 238.252 L F 0 g 24.3043 251.912 m 18.1915 246.668 L 19.1938 238.252 L S 1. g 42.8846 323.806 m 48.8506 328.583 L 47.9995 337.448 L F 0 g 42.8846 323.806 m 48.8506 328.583 L 47.9995 337.448 L S 1. g 48.8506 328.583 m 42.8846 323.806 L 43.7659 315.001 L F 0 g 48.8506 328.583 m 42.8846 323.806 L 43.7659 315.001 L S 1. g 335.953 266. m 331.53 265.559 L 340.291 267.81 L F 0 g 335.953 266. m 331.53 265.559 L 340.291 267.81 L S 1. g 340.291 267.81 m 342.779 267.754 L 335.953 266. L F 0 g 340.291 267.81 m 342.779 267.754 L 335.953 266. L S 1. g 359.739 171.958 m 363.057 172.8 L 372.371 176.882 L F 0 g 359.739 171.958 m 363.057 172.8 L 372.371 176.882 L S 1. g 363.057 172.8 m 359.739 171.958 L 350.361 170.428 L F 0 g 363.057 172.8 m 359.739 171.958 L 350.361 170.428 L S 1. g 307.921 241.194 m 303.709 235.354 L 305.299 243.894 L F 0 g 307.921 241.194 m 303.709 235.354 L 305.299 243.894 L S 1. g 305.299 243.894 m 309.342 248.983 L 307.921 241.194 L F 0 g 305.299 243.894 m 309.342 248.983 L 307.921 241.194 L S 1. g 372.371 176.882 m 376.631 179.604 L 383.789 186.244 L F 0 g 372.371 176.882 m 376.631 179.604 L 383.789 186.244 L S 1. g 387.984 190.724 m 383.789 186.244 L 376.631 179.604 L F 0 g 387.984 190.724 m 383.789 186.244 L 376.631 179.604 L S 1. g 392.822 239.687 m 389.686 245.143 L 383.832 252.547 L F 0 g 392.822 239.687 m 389.686 245.143 L 383.832 252.547 L S 1. g 380.229 256.435 m 383.832 252.547 L 389.686 245.143 L F 0 g 380.229 256.435 m 383.832 252.547 L 389.686 245.143 L S 1. g 311.537 191.972 m 313.17 186.883 L 305.307 194.927 L F 0 g 311.537 191.972 m 313.17 186.883 L 305.307 194.927 L S 1. g 305.307 194.927 m 303.195 200.474 L 311.537 191.972 L F 0 g 305.307 194.927 m 303.195 200.474 L 311.537 191.972 L S 245.238 219.288 m 249.359 217.966 L S 1. g 37.7654 310.133 m 43.7659 315.001 L 42.8846 323.806 L F 0 g 37.7654 310.133 m 43.7659 315.001 L 42.8846 323.806 L S 1. g 43.7659 315.001 m 37.7654 310.133 L 38.6726 301.389 L F 0 g 43.7659 315.001 m 37.7654 310.133 L 38.6726 301.389 L S 1. g 359.908 266.894 m 358.081 267.041 L 350.417 268.112 L F 0 g 359.908 266.894 m 358.081 267.041 L 350.417 268.112 L S 1. g 358.081 267.041 m 359.908 266.894 L 368.755 263.814 L F 0 g 358.081 267.041 m 359.908 266.894 L 368.755 263.814 L S 1. g 351.747 170.96 m 350.361 170.428 L 340.407 170.947 L F 0 g 351.747 170.96 m 350.361 170.428 L 340.407 170.947 L S 1. g 340.407 170.947 m 339.751 171.586 L 351.747 170.96 L F 0 g 340.407 170.947 m 339.751 171.586 L 351.747 170.96 L S 1. g 397.224 217.827 m 396.58 224.428 L 394.705 233.716 L F 0 g 397.224 217.827 m 396.58 224.428 L 394.705 233.716 L S 1. g 392.822 239.687 m 394.705 233.716 L 396.58 224.428 L F 0 g 392.822 239.687 m 394.705 233.716 L 396.58 224.428 L S 1. g 350.361 170.428 m 351.747 170.96 L 363.057 172.8 L F 0 g 350.361 170.428 m 351.747 170.96 L 363.057 172.8 L S 1. g 32.6333 296.434 m 38.6726 301.389 L 37.7654 310.133 L F 0 g 32.6333 296.434 m 38.6726 301.389 L 37.7654 310.133 L S 1. g 38.6726 301.389 m 32.6333 296.434 L 33.5664 287.751 L F 0 g 38.6726 301.389 m 32.6333 296.434 L 33.5664 287.751 L S 1. g 320.57 256.72 m 314.474 253.303 L 319.451 259.304 L F 0 g 320.57 256.72 m 314.474 253.303 L 319.451 259.304 L S 1. g 319.451 259.304 m 324.708 261.736 L 320.57 256.72 L F 0 g 319.451 259.304 m 324.708 261.736 L 320.57 256.72 L S 1. g 376.631 179.604 m 372.371 176.882 L 363.057 172.8 L F 0 g 376.631 179.604 m 372.371 176.882 L 363.057 172.8 L S 249.359 217.966 m 253.498 216.644 L S 1. g 304.232 219.862 m 302.633 213.114 L 299.074 222.666 L F 0 g 304.232 219.862 m 302.633 213.114 L 299.074 222.666 L S 1. g 299.074 222.666 m 300.741 229.12 L 304.232 219.862 L F 0 g 299.074 222.666 m 300.741 229.12 L 304.232 219.862 L S 1. g 330.657 263.028 m 324.708 261.736 L 331.53 265.559 L F 0 g 330.657 263.028 m 324.708 261.736 L 331.53 265.559 L S 1. g 331.53 265.559 m 335.953 266. L 330.657 263.028 L F 0 g 331.53 265.559 m 335.953 266. L 330.657 263.028 L S 1. g 27.4925 282.705 m 33.5664 287.751 L 32.6333 296.434 L F 0 g 27.4925 282.705 m 33.5664 287.751 L 32.6333 296.434 L S 1. g 33.5664 287.751 m 27.4925 282.705 L 28.4515 274.082 L F 0 g 33.5664 287.751 m 27.4925 282.705 L 28.4515 274.082 L S 253.498 216.644 m 257.645 215.313 L S 1. g 397.224 217.827 m 396.503 211.321 L 393.06 202.038 L F 0 g 397.224 217.827 m 396.503 211.321 L 393.06 202.038 L S 1. g 391.107 196.033 m 393.06 202.038 L 396.503 211.321 L F 0 g 391.107 196.033 m 393.06 202.038 L 396.503 211.321 L S 1. g 22.3387 268.95 m 28.4515 274.082 L 27.4925 282.705 L F 0 g 22.3387 268.95 m 28.4515 274.082 L 27.4925 282.705 L S 1. g 28.4515 274.082 m 22.3387 268.95 L 23.328 260.388 L F 0 g 28.4515 274.082 m 22.3387 268.95 L 23.328 260.388 L S 191.704 263.481 m 201.273 265.088 L S 195.039 275.115 m 201.273 265.088 L S 1. g 324.855 180.593 m 326.367 176.995 L 315.727 182.736 L F 0 g 324.855 180.593 m 326.367 176.995 L 315.727 182.736 L S 1. g 315.727 182.736 m 313.17 186.883 L 324.855 180.593 L F 0 g 315.727 182.736 m 313.17 186.883 L 324.855 180.593 L S 1. g 339.301 173.552 m 339.751 171.586 L 328.45 174.597 L F 0 g 339.301 173.552 m 339.751 171.586 L 328.45 174.597 L S 1. g 328.45 174.597 m 326.367 176.995 L 339.301 173.552 L F 0 g 328.45 174.597 m 326.367 176.995 L 339.301 173.552 L S 1. g 368.755 263.814 m 364.967 264.643 L 358.081 267.041 L F 0 g 368.755 263.814 m 364.967 264.643 L 358.081 267.041 L S 1. g 364.967 264.643 m 368.755 263.814 L 375.697 259.338 L F 0 g 364.967 264.643 m 368.755 263.814 L 375.697 259.338 L S 1. g 380.229 256.435 m 375.697 259.338 L 368.755 263.814 L F 0 g 380.229 256.435 m 375.697 259.338 L 368.755 263.814 L S 1. g 313.26 246.469 m 307.921 241.194 L 309.342 248.983 L F 0 g 313.26 246.469 m 307.921 241.194 L 309.342 248.983 L S 1. g 309.342 248.983 m 314.474 253.303 L 313.26 246.469 L F 0 g 309.342 248.983 m 314.474 253.303 L 313.26 246.469 L S 1. g 310.897 197.873 m 311.537 191.972 L 303.195 200.474 L F 0 g 310.897 197.873 m 311.537 191.972 L 303.195 200.474 L S 1. g 303.195 200.474 m 302.288 206.591 L 310.897 197.873 L F 0 g 303.195 200.474 m 302.288 206.591 L 310.897 197.873 L S 1. g 47.9995 337.448 m 41.999 332.7 L 42.8846 323.806 L F 0 g 47.9995 337.448 m 41.999 332.7 L 42.8846 323.806 L S 1. g 17.1763 255.169 m 23.328 260.388 L 22.3387 268.95 L F 0 g 17.1763 255.169 m 23.328 260.388 L 22.3387 268.95 L S 1. g 23.328 260.388 m 17.1763 255.169 L 18.1915 246.668 L F 0 g 23.328 260.388 m 17.1763 255.169 L 18.1915 246.668 L S 257.645 215.313 m 261.805 213.983 L S 1. g 391.107 196.033 m 387.984 190.724 L 380.143 183.453 L F 0 g 391.107 196.033 m 387.984 190.724 L 380.143 183.453 L S 1. g 376.631 179.604 m 380.143 183.453 L 387.984 190.724 L F 0 g 376.631 179.604 m 380.143 183.453 L 387.984 190.724 L S 1. g 389.686 245.143 m 392.822 239.687 L 394.584 230.939 L F 0 g 389.686 245.143 m 392.822 239.687 L 394.584 230.939 L S 1. g 396.58 224.428 m 394.584 230.939 L 392.822 239.687 L F 0 g 396.58 224.428 m 394.584 230.939 L 392.822 239.687 L S 1. g 375.697 259.338 m 380.229 256.435 L 385.366 249.929 L F 0 g 375.697 259.338 m 380.229 256.435 L 385.366 249.929 L S 1. g 389.686 245.143 m 385.366 249.929 L 380.229 256.435 L F 0 g 389.686 245.143 m 385.366 249.929 L 380.229 256.435 L S 191.704 263.481 m 195.039 275.115 L S 1. g 36.8496 318.967 m 42.8846 323.806 L 41.999 332.7 L F 0 g 36.8496 318.967 m 42.8846 323.806 L 41.999 332.7 L S 1. g 42.8846 323.806 m 36.8496 318.967 L 37.7654 310.133 L F 0 g 42.8846 323.806 m 36.8496 318.967 L 37.7654 310.133 L S 1. g 345.432 266.367 m 342.779 267.754 L 350.417 268.112 L F 0 g 345.432 266.367 m 342.779 267.754 L 350.417 268.112 L S 1. g 350.417 268.112 m 350.68 266.613 L 345.432 266.367 L F 0 g 350.417 268.112 m 350.68 266.613 L 345.432 266.367 L S 1. g 350.68 266.613 m 350.417 268.112 L 358.081 267.041 L F 0 g 350.68 266.613 m 350.417 268.112 L 358.081 267.041 L S 1. g 363.057 172.8 m 365.99 174.943 L 376.631 179.604 L F 0 g 363.057 172.8 m 365.99 174.943 L 376.631 179.604 L S 1. g 365.99 174.943 m 363.057 172.8 L 351.747 170.96 L F 0 g 365.99 174.943 m 363.057 172.8 L 351.747 170.96 L S 1. g 307.048 226.64 m 304.232 219.862 L 300.741 229.12 L F 0 g 307.048 226.64 m 304.232 219.862 L 300.741 229.12 L S 1. g 300.741 229.12 m 303.709 235.354 L 307.048 226.64 L F 0 g 300.741 229.12 m 303.709 235.354 L 307.048 226.64 L S 1. g 340.753 265.162 m 335.953 266. L 342.779 267.754 L F 0 g 340.753 265.162 m 335.953 266. L 342.779 267.754 L S 1. g 342.779 267.754 m 345.432 266.367 L 340.753 265.162 L F 0 g 342.779 267.754 m 345.432 266.367 L 340.753 265.162 L S 261.805 213.983 m 265.978 212.648 L S 1. g 31.6915 305.208 m 37.7654 310.133 L 36.8496 318.967 L F 0 g 31.6915 305.208 m 37.7654 310.133 L 36.8496 318.967 L S 1. g 37.7654 310.133 m 31.6915 305.208 L 32.6333 296.434 L F 0 g 37.7654 310.133 m 31.6915 305.208 L 32.6333 296.434 L S 1. g 327.465 259.131 m 320.57 256.72 L 324.708 261.736 L F 0 g 327.465 259.131 m 320.57 256.72 L 324.708 261.736 L S 1. g 324.708 261.736 m 330.657 263.028 L 327.465 259.131 L F 0 g 324.708 261.736 m 330.657 263.028 L 327.465 259.131 L S 1. g 358.081 267.041 m 355.938 265.874 L 350.68 266.613 L F 0 g 358.081 267.041 m 355.938 265.874 L 350.68 266.613 L S 1. g 355.938 265.874 m 358.081 267.041 L 364.967 264.643 L F 0 g 355.938 265.874 m 358.081 267.041 L 364.967 264.643 L S 1. g 380.143 183.453 m 376.631 179.604 L 365.99 174.943 L F 0 g 380.143 183.453 m 376.631 179.604 L 365.99 174.943 L S 1. g 353.043 172.839 m 351.747 170.96 L 339.751 171.586 L F 0 g 353.043 172.839 m 351.747 170.96 L 339.751 171.586 L S 1. g 339.751 171.586 m 339.301 173.552 L 353.043 172.839 L F 0 g 339.751 171.586 m 339.301 173.552 L 353.043 172.839 L S 1. g 396.58 224.428 m 397.224 217.827 L 393.772 208.574 L F 0 g 396.58 224.428 m 397.224 217.827 L 393.772 208.574 L S 1. g 393.06 202.038 m 393.772 208.574 L 397.224 217.827 L F 0 g 393.06 202.038 m 393.772 208.574 L 397.224 217.827 L S 1. g 26.5248 291.419 m 32.6333 296.434 L 31.6915 305.208 L F 0 g 26.5248 291.419 m 32.6333 296.434 L 31.6915 305.208 L S 1. g 32.6333 296.434 m 26.5248 291.419 L 27.4925 282.705 L F 0 g 32.6333 296.434 m 26.5248 291.419 L 27.4925 282.705 L S 265.978 212.648 m 270.164 211.308 L S 1. g 351.747 170.96 m 353.043 172.839 L 365.99 174.943 L F 0 g 351.747 170.96 m 353.043 172.839 L 365.99 174.943 L S 1. g 337.137 263.118 m 330.657 263.028 L 335.953 266. L F 0 g 337.137 263.118 m 330.657 263.028 L 335.953 266. L S 1. g 335.953 266. m 340.753 265.162 L 337.137 263.118 L F 0 g 335.953 266. m 340.753 265.162 L 337.137 263.118 L S 1. g 319.594 251.022 m 313.26 246.469 L 314.474 253.303 L F 0 g 319.594 251.022 m 313.26 246.469 L 314.474 253.303 L S 1. g 314.474 253.303 m 320.57 256.72 L 319.594 251.022 L F 0 g 314.474 253.303 m 320.57 256.72 L 319.594 251.022 L S 1. g 21.3408 277.603 m 27.4925 282.705 L 26.5248 291.419 L F 0 g 21.3408 277.603 m 27.4925 282.705 L 26.5248 291.419 L S 1. g 27.4925 282.705 m 21.3408 277.603 L 22.3387 268.95 L F 0 g 27.4925 282.705 m 21.3408 277.603 L 22.3387 268.95 L S 1. g 311.282 204.422 m 310.897 197.873 L 302.288 206.591 L F 0 g 311.282 204.422 m 310.897 197.873 L 302.288 206.591 L S 1. g 302.288 206.591 m 302.633 213.114 L 311.282 204.422 L F 0 g 302.288 206.591 m 302.633 213.114 L 311.282 204.422 L S 1. g 385.366 249.929 m 389.686 245.143 L 391.271 237.172 L F 0 g 385.366 249.929 m 389.686 245.143 L 391.271 237.172 L S 1. g 394.584 230.939 m 391.271 237.172 L 389.686 245.143 L F 0 g 394.584 230.939 m 391.271 237.172 L 389.686 245.143 L S 1. g 323.965 185.315 m 324.855 180.593 L 313.17 186.883 L F 0 g 323.965 185.315 m 324.855 180.593 L 313.17 186.883 L S 1. g 313.17 186.883 m 311.537 191.972 L 323.965 185.315 L F 0 g 313.17 186.883 m 311.537 191.972 L 323.965 185.315 L S 270.164 211.308 m 274.363 209.965 L S 1. g 393.06 202.038 m 391.107 196.033 L 382.795 188.343 L F 0 g 393.06 202.038 m 391.107 196.033 L 382.795 188.343 L S 1. g 380.143 183.453 m 382.795 188.343 L 391.107 196.033 L F 0 g 380.143 183.453 m 382.795 188.343 L 391.107 196.033 L S 1. g 375.697 259.338 m 370.354 261.161 L 364.967 264.643 L F 0 g 375.697 259.338 m 370.354 261.161 L 364.967 264.643 L S 1. g 370.354 261.161 m 375.697 259.338 L 379.974 253.908 L F 0 g 370.354 261.161 m 375.697 259.338 L 379.974 253.908 L S 1. g 385.366 249.929 m 379.974 253.908 L 375.697 259.338 L F 0 g 385.366 249.929 m 379.974 253.908 L 375.697 259.338 L S 1. g 16.1525 263.758 m 22.3387 268.95 L 21.3408 277.603 L F 0 g 16.1525 263.758 m 22.3387 268.95 L 21.3408 277.603 L S 1. g 22.3387 268.95 m 16.1525 263.758 L 17.1763 255.169 L F 0 g 22.3387 268.95 m 16.1525 263.758 L 17.1763 255.169 L S 1. g 311.018 233.263 m 307.048 226.64 L 303.709 235.354 L F 0 g 311.018 233.263 m 307.048 226.64 L 303.709 235.354 L S 1. g 303.709 235.354 m 307.921 241.194 L 311.018 233.263 L F 0 g 303.709 235.354 m 307.921 241.194 L 311.018 233.263 L S 1. g 364.967 264.643 m 360.66 264.228 L 355.938 265.874 L F 0 g 364.967 264.643 m 360.66 264.228 L 355.938 265.874 L S 1. g 360.66 264.228 m 364.967 264.643 L 370.354 261.161 L F 0 g 360.66 264.228 m 364.967 264.643 L 370.354 261.161 L S 1. g 339.085 176.822 m 339.301 173.552 L 326.367 176.995 L F 0 g 339.085 176.822 m 339.301 173.552 L 326.367 176.995 L S 1. g 326.367 176.995 m 324.855 180.593 L 339.085 176.822 L F 0 g 326.367 176.995 m 324.855 180.593 L 339.085 176.822 L S 274.363 209.965 m 278.571 208.617 L S 1. g 41.999 332.7 m 35.9251 327.892 L 36.8496 318.967 L F 0 g 41.999 332.7 m 35.9251 327.892 L 36.8496 318.967 L S 1. g 394.584 230.939 m 396.58 224.428 L 393.206 215.464 L F 0 g 394.584 230.939 m 396.58 224.428 L 393.206 215.464 L S 1. g 393.772 208.574 m 393.206 215.464 L 396.58 224.428 L F 0 g 393.772 208.574 m 393.206 215.464 L 396.58 224.428 L S 1. g 30.7411 314.068 m 36.8496 318.967 L 35.9251 327.892 L F 0 g 30.7411 314.068 m 36.8496 318.967 L 35.9251 327.892 L S 1. g 36.8496 318.967 m 30.7411 314.068 L 31.6915 305.208 L F 0 g 36.8496 318.967 m 30.7411 314.068 L 31.6915 305.208 L S 1. g 334.969 260.453 m 327.465 259.131 L 330.657 263.028 L F 0 g 334.969 260.453 m 327.465 259.131 L 330.657 263.028 L S 1. g 330.657 263.028 m 337.137 263.118 L 334.969 260.453 L F 0 g 330.657 263.028 m 337.137 263.118 L 334.969 260.453 L S 278.571 208.617 m 282.796 207.265 L S 1. g 365.99 174.943 m 368.448 178.347 L 380.143 183.453 L F 0 g 365.99 174.943 m 368.448 178.347 L 380.143 183.453 L S 1. g 368.448 178.347 m 365.99 174.943 L 353.043 172.839 L F 0 g 368.448 178.347 m 365.99 174.943 L 353.043 172.839 L S 1. g 348.188 263.654 m 345.432 266.367 L 350.68 266.613 L F 0 g 348.188 263.654 m 345.432 266.367 L 350.68 266.613 L S 1. g 350.68 266.613 m 350.862 263.779 L 348.188 263.654 L F 0 g 350.68 266.613 m 350.862 263.779 L 348.188 263.654 L S 1. g 350.862 263.779 m 350.68 266.613 L 355.938 265.874 L F 0 g 350.862 263.779 m 350.68 266.613 L 355.938 265.874 L S 1. g 379.974 253.908 m 385.366 249.929 L 386.726 242.948 L F 0 g 379.974 253.908 m 385.366 249.929 L 386.726 242.948 L S 1. g 391.271 237.172 m 386.726 242.948 L 385.366 249.929 L F 0 g 391.271 237.172 m 386.726 242.948 L 385.366 249.929 L S 1. g 345.803 263.036 m 340.753 265.162 L 345.432 266.367 L F 0 g 345.803 263.036 m 340.753 265.162 L 345.432 266.367 L S 1. g 345.432 266.367 m 348.188 263.654 L 345.803 263.036 L F 0 g 345.432 266.367 m 348.188 263.654 L 345.803 263.036 L S 1. g 326.743 254.72 m 319.594 251.022 L 320.57 256.72 L F 0 g 326.743 254.72 m 319.594 251.022 L 320.57 256.72 L S 1. g 320.57 256.72 m 327.465 259.131 L 326.743 254.72 L F 0 g 320.57 256.72 m 327.465 259.131 L 326.743 254.72 L S 1. g 382.795 188.343 m 380.143 183.453 L 368.448 178.347 L F 0 g 382.795 188.343 m 380.143 183.453 L 368.448 178.347 L S 1. g 25.5442 300.218 m 31.6915 305.208 L 30.7411 314.068 L F 0 g 25.5442 300.218 m 31.6915 305.208 L 30.7411 314.068 L S 1. g 31.6915 305.208 m 25.5442 300.218 L 26.5248 291.419 L F 0 g 31.6915 305.208 m 25.5442 300.218 L 26.5248 291.419 L S 1. g 312.686 211.438 m 311.282 204.422 L 302.633 213.114 L F 0 g 312.686 211.438 m 311.282 204.422 L 302.633 213.114 L S 1. g 302.633 213.114 m 304.232 219.862 L 312.686 211.438 L F 0 g 302.633 213.114 m 304.232 219.862 L 312.686 211.438 L S 1. g 355.938 265.874 m 353.544 263.403 L 350.862 263.779 L F 0 g 355.938 265.874 m 353.544 263.403 L 350.862 263.779 L S 1. g 353.544 263.403 m 355.938 265.874 L 360.66 264.228 L F 0 g 353.544 263.403 m 355.938 265.874 L 360.66 264.228 L S 1. g 316.034 239.527 m 311.018 233.263 L 307.921 241.194 L F 0 g 316.034 239.527 m 311.018 233.263 L 307.921 241.194 L S 1. g 307.921 241.194 m 313.26 246.469 L 316.034 239.527 L F 0 g 307.921 241.194 m 313.26 246.469 L 316.034 239.527 L S 282.796 207.265 m 287.029 205.908 L S 1. g 354.21 176.04 m 353.043 172.839 L 339.301 173.552 L F 0 g 354.21 176.04 m 353.043 172.839 L 339.301 173.552 L S 1. g 339.301 173.552 m 339.085 176.822 L 354.21 176.04 L F 0 g 339.301 173.552 m 339.085 176.822 L 354.21 176.04 L S 1. g 20.3342 286.343 m 26.5248 291.419 L 25.5442 300.218 L F 0 g 20.3342 286.343 m 26.5248 291.419 L 25.5442 300.218 L S 1. g 26.5248 291.419 m 20.3342 286.343 L 21.3408 277.603 L F 0 g 26.5248 291.419 m 20.3342 286.343 L 21.3408 277.603 L S 1. g 393.772 208.574 m 393.06 202.038 L 384.489 194.145 L F 0 g 393.772 208.574 m 393.06 202.038 L 384.489 194.145 L S 1. g 382.795 188.343 m 384.489 194.145 L 393.06 202.038 L F 0 g 382.795 188.343 m 384.489 194.145 L 393.06 202.038 L S 1. g 323.732 191.039 m 323.965 185.315 L 311.537 191.972 L F 0 g 323.732 191.039 m 323.965 185.315 L 311.537 191.972 L S 1. g 311.537 191.972 m 310.897 197.873 L 323.732 191.039 L F 0 g 311.537 191.972 m 310.897 197.873 L 323.732 191.039 L S 1. g 370.354 261.161 m 364.336 261.84 L 360.66 264.228 L F 0 g 370.354 261.161 m 364.336 261.84 L 360.66 264.228 L S 1. g 364.336 261.84 m 370.354 261.161 L 373.65 256.949 L F 0 g 364.336 261.84 m 370.354 261.161 L 373.65 256.949 L S 1. g 379.974 253.908 m 373.65 256.949 L 370.354 261.161 L F 0 g 379.974 253.908 m 373.65 256.949 L 370.354 261.161 L S 1. g 343.967 261.995 m 337.137 263.118 L 340.753 265.162 L F 0 g 343.967 261.995 m 337.137 263.118 L 340.753 265.162 L S 1. g 340.753 265.162 m 345.803 263.036 L 343.967 261.995 L F 0 g 340.753 265.162 m 345.803 263.036 L 343.967 261.995 L S 1. g 353.043 172.839 m 354.21 176.04 L 368.448 178.347 L F 0 g 353.043 172.839 m 354.21 176.04 L 368.448 178.347 L S 1. g 15.1157 272.432 m 21.3408 277.603 L 20.3342 286.343 L F 0 g 15.1157 272.432 m 21.3408 277.603 L 20.3342 286.343 L S 1. g 21.3408 277.603 m 15.1157 272.432 L 16.1525 263.758 L F 0 g 21.3408 277.603 m 15.1157 272.432 L 16.1525 263.758 L S 1. g 391.271 237.172 m 394.584 230.939 L 391.366 222.506 L F 0 g 391.271 237.172 m 394.584 230.939 L 391.366 222.506 L S 1. g 393.206 215.464 m 391.366 222.506 L 394.584 230.939 L F 0 g 393.206 215.464 m 391.366 222.506 L 394.584 230.939 L S 1. g 360.66 264.228 m 355.946 262.561 L 353.544 263.403 L F 0 g 360.66 264.228 m 355.946 262.561 L 353.544 263.403 L S 1. g 355.946 262.561 m 360.66 264.228 L 364.336 261.84 L F 0 g 355.946 262.561 m 360.66 264.228 L 364.336 261.84 L S 287.029 205.908 m 291.28 204.548 L S 1. g 339.107 181.319 m 339.085 176.822 L 324.855 180.593 L F 0 g 339.107 181.319 m 339.085 176.822 L 324.855 180.593 L S 1. g 324.855 180.593 m 323.965 185.315 L 339.107 181.319 L F 0 g 324.855 180.593 m 323.965 185.315 L 339.107 181.319 L S 1. g 373.65 256.949 m 379.974 253.908 L 381.076 248.093 L F 0 g 373.65 256.949 m 379.974 253.908 L 381.076 248.093 L S 1. g 386.726 242.948 m 381.076 248.093 L 379.974 253.908 L F 0 g 386.726 242.948 m 381.076 248.093 L 379.974 253.908 L S 1. g 334.506 257.442 m 326.743 254.72 L 327.465 259.131 L F 0 g 334.506 257.442 m 326.743 254.72 L 327.465 259.131 L S 1. g 327.465 259.131 m 334.969 260.453 L 334.506 257.442 L F 0 g 327.465 259.131 m 334.969 260.453 L 334.506 257.442 L S 1. g 342.878 260.639 m 334.969 260.453 L 337.137 263.118 L F 0 g 342.878 260.639 m 334.969 260.453 L 337.137 263.118 L S 1. g 337.137 263.118 m 343.967 261.995 L 342.878 260.639 L F 0 g 337.137 263.118 m 343.967 261.995 L 342.878 260.639 L S 1. g 315.084 218.726 m 312.686 211.438 L 304.232 219.862 L F 0 g 315.084 218.726 m 312.686 211.438 L 304.232 219.862 L S 1. g 304.232 219.862 m 307.048 226.64 L 315.084 218.726 L F 0 g 304.232 219.862 m 307.048 226.64 L 315.084 218.726 L S 1. g 321.952 245.246 m 316.034 239.527 L 313.26 246.469 L F 0 g 321.952 245.246 m 316.034 239.527 L 313.26 246.469 L S 1. g 313.26 246.469 m 319.594 251.022 L 321.952 245.246 L F 0 g 313.26 246.469 m 319.594 251.022 L 321.952 245.246 L S 291.28 204.548 m 295.54 203.183 L S 1. g 35.9251 327.892 m 29.7778 323.024 L 30.7411 314.068 L F 0 g 35.9251 327.892 m 29.7778 323.024 L 30.7411 314.068 L S 1. g 384.489 194.145 m 382.795 188.343 L 370.362 182.935 L F 0 g 384.489 194.145 m 382.795 188.343 L 370.362 182.935 L S 1. g 368.448 178.347 m 370.362 182.935 L 382.795 188.343 L F 0 g 368.448 178.347 m 370.362 182.935 L 382.795 188.343 L S 1. g 393.206 215.464 m 393.772 208.574 L 385.176 200.707 L F 0 g 393.206 215.464 m 393.772 208.574 L 385.176 200.707 L S 1. g 384.489 194.145 m 385.176 200.707 L 393.772 208.574 L F 0 g 384.489 194.145 m 385.176 200.707 L 393.772 208.574 L S 1. g 24.5549 309.113 m 30.7411 314.068 L 29.7778 323.024 L F 0 g 24.5549 309.113 m 30.7411 314.068 L 29.7778 323.024 L S 1. g 30.7411 314.068 m 24.5549 309.113 L 25.5442 300.218 L F 0 g 30.7411 314.068 m 24.5549 309.113 L 25.5442 300.218 L S 1. g 364.336 261.84 m 357.808 261.343 L 355.946 262.561 L F 0 g 364.336 261.84 m 357.808 261.343 L 355.946 262.561 L S 1. g 357.808 261.343 m 364.336 261.84 L 366.569 258.962 L F 0 g 357.808 261.343 m 364.336 261.84 L 366.569 258.962 L S 1. g 373.65 256.949 m 366.569 258.962 L 364.336 261.84 L F 0 g 373.65 256.949 m 366.569 258.962 L 364.336 261.84 L S 1. g 386.726 242.948 m 391.271 237.172 L 388.295 229.5 L F 0 g 386.726 242.948 m 391.271 237.172 L 388.295 229.5 L S 1. g 391.366 222.506 m 388.295 229.5 L 391.271 237.172 L F 0 g 391.366 222.506 m 388.295 229.5 L 391.271 237.172 L S 1. g 370.362 182.935 m 368.448 178.347 L 354.21 176.04 L F 0 g 370.362 182.935 m 368.448 178.347 L 354.21 176.04 L S 295.54 203.183 m 299.812 201.813 L S 1. g 324.168 197.61 m 323.732 191.039 L 310.897 197.873 L F 0 g 324.168 197.61 m 323.732 191.039 L 310.897 197.873 L S 1. g 310.897 197.873 m 311.282 204.422 L 324.168 197.61 L F 0 g 310.897 197.873 m 311.282 204.422 L 324.168 197.61 L S 1. g 350.862 263.779 m 350.961 259.671 L 348.188 263.654 L 350.862 263.779 L F 0 g 350.862 263.779 m 350.961 259.671 L 348.188 263.654 L 350.862 263.779 L S 1. g 353.544 263.403 m 350.961 259.671 L 350.862 263.779 L 353.544 263.403 L F 0 g 353.544 263.403 m 350.961 259.671 L 350.862 263.779 L 353.544 263.403 L S 1. g 348.188 263.654 m 350.961 259.671 L 345.803 263.036 L 348.188 263.654 L F 0 g 348.188 263.654 m 350.961 259.671 L 345.803 263.036 L 348.188 263.654 L S 1. g 366.569 258.962 m 373.65 256.949 L 374.471 252.452 L F 0 g 366.569 258.962 m 373.65 256.949 L 374.471 252.452 L S 1. g 381.076 248.093 m 374.471 252.452 L 373.65 256.949 L F 0 g 381.076 248.093 m 374.471 252.452 L 373.65 256.949 L S 1. g 19.319 295.168 m 25.5442 300.218 L 24.5549 309.113 L F 0 g 19.319 295.168 m 25.5442 300.218 L 24.5549 309.113 L S 1. g 25.5442 300.218 m 19.319 295.168 L 20.3342 286.343 L F 0 g 25.5442 300.218 m 19.319 295.168 L 20.3342 286.343 L S 1. g 355.946 262.561 m 350.961 259.671 L 353.544 263.403 L 355.946 262.561 L F 0 g 355.946 262.561 m 350.961 259.671 L 353.544 263.403 L 355.946 262.561 L S 1. g 328.609 250.262 m 321.952 245.246 L 319.594 251.022 L F 0 g 328.609 250.262 m 321.952 245.246 L 319.594 251.022 L S 1. g 319.594 251.022 m 326.743 254.72 L 328.609 250.262 L F 0 g 319.594 251.022 m 326.743 254.72 L 328.609 250.262 L S 1. g 345.803 263.036 m 350.961 259.671 L 343.967 261.995 L 345.803 263.036 L F 0 g 345.803 263.036 m 350.961 259.671 L 343.967 261.995 L 345.803 263.036 L S 1. g 342.654 259.109 m 334.506 257.442 L 334.969 260.453 L F 0 g 342.654 259.109 m 334.506 257.442 L 334.969 260.453 L S 1. g 334.969 260.453 m 342.878 260.639 L 342.654 259.109 L F 0 g 334.969 260.453 m 342.878 260.639 L 342.654 259.109 L S 299.812 201.813 m 304.102 200.444 L S 1. g 318.41 226.066 m 315.084 218.726 L 307.048 226.64 L F 0 g 318.41 226.066 m 315.084 218.726 L 307.048 226.64 L S 1. g 307.048 226.64 m 311.018 233.263 L 318.41 226.066 L F 0 g 307.048 226.64 m 311.018 233.263 L 318.41 226.066 L S 1. g 355.208 180.494 m 354.21 176.04 L 339.085 176.822 L F 0 g 355.208 180.494 m 354.21 176.04 L 339.085 176.822 L S 1. g 339.085 176.822 m 339.107 181.319 L 355.208 180.494 L F 0 g 339.085 176.822 m 339.107 181.319 L 355.208 180.494 L S 1. g 14.0702 281.197 m 20.3342 286.343 L 19.319 295.168 L F 0 g 14.0702 281.197 m 20.3342 286.343 L 19.319 295.168 L S 1. g 20.3342 286.343 m 14.0702 281.197 L 15.1157 272.432 L F 0 g 20.3342 286.343 m 14.0702 281.197 L 15.1157 272.432 L S 1. g 357.808 261.343 m 350.961 259.671 L 355.946 262.561 L 357.808 261.343 L F 0 g 357.808 261.343 m 350.961 259.671 L 355.946 262.561 L 357.808 261.343 L S 1. g 381.076 248.093 m 386.726 242.948 L 384.074 236.239 L F 0 g 381.076 248.093 m 386.726 242.948 L 384.074 236.239 L S 1. g 388.295 229.5 m 384.074 236.239 L 386.726 242.948 L F 0 g 388.295 229.5 m 384.074 236.239 L 386.726 242.948 L S 1. g 354.21 176.04 m 355.208 180.494 L 370.362 182.935 L F 0 g 354.21 176.04 m 355.208 180.494 L 370.362 182.935 L S 1. g 343.967 261.995 m 350.961 259.671 L 342.878 260.639 L 343.967 261.995 L F 0 g 343.967 261.995 m 350.961 259.671 L 342.878 260.639 L 343.967 261.995 L S 1. g 339.375 186.935 m 339.107 181.319 L 323.965 185.315 L F 0 g 339.375 186.935 m 339.107 181.319 L 323.965 185.315 L S 1. g 323.965 185.315 m 323.732 191.039 L 339.375 186.935 L F 0 g 323.965 185.315 m 323.732 191.039 L 339.375 186.935 L S 304.102 200.444 m 308.4 199.066 L S 1. g 366.569 258.962 m 358.932 259.883 L 357.808 261.343 L F 0 g 366.569 258.962 m 358.932 259.883 L 357.808 261.343 L S 1. g 358.932 259.883 m 366.569 258.962 L 367.105 255.9 L F 0 g 358.932 259.883 m 366.569 258.962 L 367.105 255.9 L S 1. g 374.471 252.452 m 367.105 255.9 L 366.569 258.962 L F 0 g 374.471 252.452 m 367.105 255.9 L 366.569 258.962 L S 1. g 391.366 222.506 m 393.206 215.464 L 384.808 207.844 L F 0 g 391.366 222.506 m 393.206 215.464 L 384.808 207.844 L S 1. g 385.176 200.707 m 384.808 207.844 L 393.206 215.464 L F 0 g 385.176 200.707 m 384.808 207.844 L 393.206 215.464 L S 1. g 335.807 254.409 m 328.609 250.262 L 326.743 254.72 L F 0 g 335.807 254.409 m 328.609 250.262 L 326.743 254.72 L S 1. g 326.743 254.72 m 334.506 257.442 L 335.807 254.409 L F 0 g 326.743 254.72 m 334.506 257.442 L 335.807 254.409 L S 1. g 358.932 259.883 m 350.961 259.671 L 357.808 261.343 L 358.932 259.883 L F 0 g 358.932 259.883 m 350.961 259.671 L 357.808 261.343 L 358.932 259.883 L S 1. g 342.878 260.639 m 350.961 259.671 L 342.654 259.109 L 342.878 260.639 L F 0 g 342.878 260.639 m 350.961 259.671 L 342.654 259.109 L 342.878 260.639 L S 1. g 322.574 233.237 m 318.41 226.066 L 311.018 233.263 L F 0 g 322.574 233.237 m 318.41 226.066 L 311.018 233.263 L S 1. g 311.018 233.263 m 316.034 239.527 L 322.574 233.237 L F 0 g 311.018 233.263 m 316.034 239.527 L 322.574 233.237 L S 1. g 325.27 204.846 m 324.168 197.61 L 311.282 204.422 L F 0 g 325.27 204.846 m 324.168 197.61 L 311.282 204.422 L S 1. g 311.282 204.422 m 312.686 211.438 L 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Fw(arbitr)-5 b(ary,)44 b Fx(f)51 b Fz(:)41 b Fq(R)2138 3212 y Ft(m)p Fr(\000)p Fu(1)2341 3248 y Fv(!)g Fq(R)53 b Fw(Lipschitz-c)-5 b(ontinuous)41 b(with)g(Lip-)150 3369 y(schitz-c)-5 b(onstant)42 b Fx(L)p Fw(.)68 b(L)-5 b(et)43 b Fx(H)50 b Fz(=)42 b Fv(f)p Fz(\()p Fx(x;)17 b(f)11 b Fz(\()p Fx(x)p Fz(\)\))42 b Fv(j)g Fx(x)h Fv(2)f Fx(D)s Fv(g)g(\032)g Fq(R)2501 3332 y Ft(m)2574 3369 y Fw(.)68 b(Denote)42 b(by)h Fv(L)3219 3332 y Ft(m)3328 3369 y Fw(the)g(L)-5 b(eb)g(esgue-)150 3489 y(me)g(asur)g(e)47 b(in)g Fq(R)738 3453 y Ft(m)810 3489 y Fw(,)k(and)46 b(by)i Fv(L)1301 3453 y Ft(m)p Fr(\000)p Fu(1)1505 3489 y Fw(the)f(L)-5 b(eb)g(esgue-me)g(asur)g(e)46 b(in)h Fq(R)2669 3453 y Ft(m)q Fr(\000)p Fu(1)2832 3489 y Fw(.)82 b(Denote)46 b(by)i Fx(H)3520 3453 y Fu([)p Ft(\016)r Fu(])3644 3489 y Fw(the)f Fx(\016)t Fw(-)150 3609 y(neighb)-5 b(ourho)g(o)g(d)33 b(\(in)i Fq(R)1007 3573 y Ft(m)1079 3609 y Fw(\))g(of)g Fx(H)8 b Fw(.)44 b(Then)1206 3850 y Fv(L)1275 3809 y Ft(m)1341 3850 y Fz(\()p Fx(H)1468 3809 y Fu([)p Ft(\016)r Fu(])1545 3850 y Fz(\))27 b Fv(\024)i Fz(2)p Fx(\016)1812 3763 y Fv(p)p 1894 3763 275 4 v 1894 3850 a Fx(L)1960 3821 y Fu(2)2022 3850 y Fz(+)22 b(1)p Fv(L)2238 3809 y Ft(m)p Fr(\000)p Fu(1)2395 3850 y Fz(\()2455 3825 y(\026)2433 3850 y Fx(D)r Fz(\))g(+)g Fx(o)p Fz(\()p Fx(\016)t Fz(\))855 b(\(3.1\))150 4054 y Fw(Pr)-5 b(o)g(of.)48 b Fz(Just)34 b(notice)e(that)965 4274 y Fx(H)1054 4232 y Fu([)p Ft(\016)r Fu(])1158 4274 y Fv(\032)c(f)p Fz(\()p Fx(x;)17 b(y)t Fz(\))27 b Fv(j)g Fx(x)h Fv(2)g Fx(D)1883 4232 y Fu([)p Ft(\016)r Fu(])1960 4274 y Fx(;)17 b Fv(j)o Fx(y)26 b Fv(\000)c Fx(f)11 b Fz(\()p Fx(x)p Fz(\))p Fv(j)28 b(\024)g Fz(2)p Fx(\016)2651 4186 y Fv(p)p 2734 4186 V 88 x Fx(L)2800 4245 y Fu(2)2862 4274 y Fz(+)22 b(1)o Fv(g)p Fx(;)150 4494 y Fz(where)34 b Fx(D)516 4457 y Fu([)p Ft(\016)r Fu(])625 4494 y Fz(is)e(the)h Fx(\016)t Fz(-neigh)m(b)s(ourho)s(o)s(d)e(of)h Fx(D)k Fz(in)31 b Fq(R)2044 4457 y Ft(m)q Fr(\000)p Fu(1)2207 4494 y Fz(.)44 b(This)32 b(implies)1312 4714 y Fv(L)1381 4672 y Ft(m)1448 4714 y Fz(\()p Fx(H)1575 4672 y Fu([)p Ft(\016)r Fu(])1651 4714 y Fz(\))c Fv(\024)g Fz(2)p Fx(\016)1918 4626 y Fv(p)p 2001 4626 V 88 x Fx(L)2067 4685 y Fu(2)2129 4714 y Fz(+)22 b(1)o Fv(L)2344 4672 y Ft(m)p Fr(\000)p Fu(1)2501 4714 y Fz(\()p Fx(D)2623 4672 y Fu([)p Ft(\016)r Fu(])2700 4714 y Fz(\))150 4934 y(whic)m(h)33 b(giv)m(es)g(the)g (lemma,)e(since)i Fv(L)1486 4897 y Ft(m)p Fr(\000)p Fu(1)1642 4934 y Fz(\()p Fx(D)1764 4897 y Fu([)p Ft(\016)r Fu(])1841 4934 y Fz(\))27 b Fv(!)h(L)2103 4897 y Ft(m)p Fr(\000)p Fu(1)2259 4934 y Fz(\()2320 4908 y(\026)2297 4934 y Fx(D)s Fz(\))k(as)h Fx(\016)f Fv(!)27 b Fz(0.)p 3829 4934 4 66 v 3833 4871 59 4 v 3833 4934 V 3891 4934 4 66 v 296 5178 a(T)-8 b(o)43 b(precisely)h(form)m(ulate)d(the)j(prop)s(ert)m(y)g (that)f(w)m(e)h(prop)s(ose)f(instead)g(of)g(smo)s(othness)h(of)f(the) 150 5299 y(singularities,)30 b(w)m(e)k(need)f(the)g(follo)m(wing)d(t)m (w)m(o)j(de\014nitions:)1976 5656 y(11)p eop %%Page: 12 12 12 11 bop 150 407 a Fp(De\014nition)36 b(3.3.)49 b Fw(\(cf.)68 b([F\(1969\)]\))41 b(A)i(function)f Fx(f)53 b Fz(:)42 b Fx(D)j Fv(\032)d Fq(R)2581 371 y Ft(m)q Fr(\000)p Fu(1)2786 407 y Fv(!)g Fq(R)53 b Fw(wil)5 b(l)42 b(b)-5 b(e)43 b(c)-5 b(al)5 b(le)-5 b(d)41 b(lo)-5 b(c)g(al)5 b(ly)150 527 y(Lipschitz)35 b(\(with)g(Lipschitz)g(c)-5 b(ontant)36 b Fx(L)p Fw(\),)g(if)f(for)h(any)f Fx(x)30 b Fv(2)f Fx(D)38 b Fw(ther)-5 b(e)36 b(exists)f(a)h(neighb)-5 b(ourho)g(o)g(d)34 b Fx(U)40 b Fv(\032)150 675 y Fq(R)216 639 y Ft(m)p Fr(\000)p Fu(1)418 675 y Fw(of)g Fx(x)g Fw(such)f(that)h(the)g(r)-5 b(estricte)g(d)40 b(function)f Fx(f)2108 560 y Fn(\014)2108 620 y(\014)2108 680 y(\014)2141 744 y Ft(D)r Fr(\\)p Ft(U)2346 675 y Fw(is)h(Lipschitz)f(\(with)g(Lipschitz)g(c)-5 b(onstant)150 827 y Fx(L)p Fw(\).)296 1021 y Fz(In)39 b(this)e(de\014nition)g(it)g(is)h(v)m(ery)h(imp)s(ortan)m(t)d(that)i Fx(U)48 b Fz(should)38 b(b)s(e)g(a)g(neighourho)s(o)s(d)f(of)g Fx(x)h Fw(in)i(the)150 1141 y(top)-5 b(olo)g(gy)41 b(of)f Fq(R)716 1105 y Ft(m)q Fr(\000)p Fu(1)879 1141 y Fz(,)h(and)e(not)g(in) g(the)g(inner)g(top)s(ology)f(of)h Fx(D)s Fz(.)63 b(Otherwise,)42 b(with)c(an)i(unpleasan)m(t)150 1262 y(c)m(hoice)33 b(of)f Fx(D)s Fz(,)g(b)s(eing)g(lo)s(cally)e(Lipsc)m(hitz)j(w)m(ould)f(not)h (ev)m(en)h(imply)c(con)m(tin)m(uit)m(y)-8 b(.)150 1456 y Fp(De\014nition)36 b(3.4.)49 b Fx(H)60 b Fv(\032)53 b Fq(R)1233 1420 y Ft(m)1354 1456 y Fw(wil)5 b(l)48 b(b)-5 b(e)48 b(c)-5 b(al)5 b(le)-5 b(d)47 b(a)h(\(one-c)-5 b(o)g(dimensional\))45 b(op)-5 b(en)48 b(lo)-5 b(c)g(al)5 b(ly)48 b(Lipschitz)150 1576 y(gr)-5 b(aph)34 b(\(with)h(Lipschitz)f(c) -5 b(onstant)35 b Fx(L)p Fw(\),)g(if)g(we)f(c)-5 b(an)35 b(cho)-5 b(ose)34 b(an)g(appr)-5 b(opriate)34 b(c)-5 b(o)g(or)g(dinate)34 b(system)h(so)150 1697 y(that)g Fx(H)43 b Fw(b)-5 b(e)g(c)g(omes)33 b(the)i(gr)-5 b(aph)34 b(of)h(a)g(lo)-5 b(c)g(al)5 b(ly)34 b(Lipschitz)g(function:)1530 1906 y Fx(H)h Fz(=)28 b Fv(f)o Fz(\()p Fx(x;)17 b(f)11 b Fz(\()p Fx(x)p 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Fz(=)3335 2692 y(\026)3310 2717 y Fx(H)30 b Fv(n)22 b Fx(H)8 b Fw(.)296 2911 y Fz(No)m(w)30 b(w)m(e)g(are)f(able)f(to)g(de\014ne)i(the)g(regularit)m(y)d(prop)s (ert)m(y)j(that)e(should)h(replace)g(the)g(smo)s(othness)150 3031 y(of)j(singularities.)150 3225 y Fp(De\014nition)k(3.5.)49 b Fw(Consider)26 b Fx(H)35 b Fv(\032)28 b(M)p Fw(,)g(and)e Fx(L)i Fv(2)g Fq(R)5 b Fw(.)48 b Fx(H)34 b Fw(wil)5 b(l)26 b(b)-5 b(e)26 b(c)-5 b(al)5 b(le)-5 b(d)26 b(`Lipschitz)g(de)-5 b(c)g(omp)g(osable')150 3346 y(\(one-c)g(o)g(dimensional\))32 b(subset)k(with)f(c)-5 b(onstant)35 b Fx(L)h Fw(if)g(it)g(c)-5 b(an)34 b(b)-5 b(e)36 b(de)-5 b(c)g(omp)g(ose)g(d)33 b(into)j(a)f(\014nite)g(numb)-5 b(er)150 3466 y(of)39 b(op)-5 b(en)38 b(lo)-5 b(c)g(al)5 b(ly)39 b(Lipschitz)g(gr)-5 b(aphs)38 b(and)h(a)g(smal)5 b(l)38 b(r)-5 b(emainder)38 b(set)i(in)e(the)i(fol)5 b(lowing)37 b(way:)54 b(Ther)-5 b(e)150 3586 y(exist)35 b Fx(H)466 3550 y Fr(\003)539 3586 y Fw(and)g Fx(H)810 3601 y Fu(1)849 3586 y Fx(;)17 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Fz(=)28 b Fx(o)p Fz(\()p Fx(\016)t Fz(\))p Fw(.)296 4860 y Fz(The)38 b(set)f Fx(H)746 4823 y Fr(\003)822 4860 y Fz(is)f(included)g(in)g(the)h(decomp)s(osition)e (for)h(tec)m(hnial)g(reasons:)53 b(w)m(e)38 b(w)m(an)m(t)f(to)g(allo)m (w)150 4980 y(for)h(sets)j Fx(H)46 b Fz(ha)m(ving)39 b(parts)g(of)g(strictly)f(higher)g(co)s(dimension.)62 b(This)39 b(o)s(ccurs)h(generically)d(if)h Fx(H)46 b Fz(is)150 5100 y(an)d(algebraic)e(sub)m(v)-5 b(ariet)m(y)45 b(of)d Fq(R)1383 5064 y Ft(n)1479 5100 y Fz({)h(cf.)75 b(subsection)45 b(3.1)d(on)h(the)h(one)f(dimensional)e(tail)g(of)i(the) 150 5221 y(Whitney-um)m(brella)c(and)h(section)g(5.)67 b(Nev)m(ertheless)43 b(w)m(e)e(w)m(ould)f(lik)m(e)g(to)g(note)h(that)f (suc)m(h)h(higher)150 5341 y(co)s(dimensional)30 b(parts)j(are)f(not)h (presen)m(t)h(in)e(the)h(singularities)d(of)i(semi-disp)s(ersing)f (billiards.)1976 5656 y(12)p eop %%Page: 13 13 13 12 bop 150 407 a Fp(Remark)37 b(3.6.)49 b Fz(Lipsc)m(hitz)34 b(decomp)s(osabilit)m(y)e(in)h(Riemannian)f(manifolds)p Fw(.)46 b(Thr)-5 b(oughout)36 b(the)g(p)-5 b(a-)150 527 y(p)g(er)33 b({)h(and)f(in)h(p)-5 b(articular)33 b(in)h(c)-5 b(onje)g(ctur)g(e)33 b(3.7)g(b)-5 b(elow)33 b({)h(subsets)f(of)h(a)f(c) -5 b(omp)g(act)33 b(R)n(iemannian)f(man-)150 648 y(ifold)k Fv(M)h Fw(ar)-5 b(e)37 b(c)-5 b(onsider)g(e)g(d.)50 b(F)-7 b(or)36 b Fx(H)k Fv(\032)32 b(M)37 b Fw(Lipschitz)g(de)-5 b(c)g(omp)g(osition)35 b(is)i(understo)-5 b(o)g(d)36 b(in)h(terms)g(of)150 768 y(c)-5 b(o)g(or)g(dinate)34 b(charts.)296 888 y(T)-7 b(o)46 b(b)-5 b(e)47 b(mor)-5 b(e)47 b(pr)-5 b(e)g(cise,)49 b(let)e(us)g(\014x)f(some)h(c)-5 b(onvention)45 b(r)-5 b(elate)g(d)47 b(to)g(the)g(atlas)g Fv(f)p Fx(U)3396 903 y Ft(t)3426 888 y Fx(;)17 b( )3533 903 y Ft(t)3563 888 y Fv(g)3613 852 y Ft(T)3613 913 y(t)p Fu(=1)3779 888 y Fw(for)150 1009 y Fv(M)42 b Fw(\014rst.)69 b(It)43 b(is)f(imp)-5 b(ortant)43 b(that)g Fv(M)g Fw(is)f(c)-5 b(omp)g(act)42 b(thus)h(we)g(may)g(c)-5 b(onsider)41 b(a)i(\014nite)f(atlas.)69 b(We)150 1129 y(say)40 b(that)h(the)g(atlas) f(is)g Fz(bi-Lipsc)m(hitz)f Fw(if)i(al)5 b(l)40 b(charts)g Fx( )2192 1144 y Ft(t)2260 1129 y Fz(:)e Fx(U)2391 1144 y Ft(t)2459 1129 y Fv(!)g Fq(R)2663 1093 y Ft(m)2776 1129 y Fw(ar)-5 b(e)40 b(bi-Lipschitz)g(maps,)h(i.e.)150 1249 y(b)-5 b(oth)39 b Fx( )424 1264 y Ft(t)493 1249 y Fw(and)g Fz(\()p Fx( )788 1264 y Ft(t)818 1249 y Fz(\))856 1213 y Fr(\000)p Fu(1)989 1249 y Fw(ar)-5 b(e)39 b(Lipschitz)g(with)g (some)f(c)-5 b(onstant)39 b Fx(K)j(>)36 b Fz(1)p Fw(.)57 b(A)n(l)5 b(l)39 b(atlases)f(c)-5 b(onsider)g(e)g(d)38 b(ar)-5 b(e)150 1370 y(assume)g(d)31 b(to)g(b)-5 b(e)31 b(bi-Lipschitz)g(with)g(a)g(\014xe)-5 b(d)31 b(c)-5 b(onstant.)43 b(This)31 b(ensur)-5 b(es)31 b(that)h(Euclide)-5 b(an)31 b(distanc)-5 b(e)30 b(on)150 1490 y Fq(R)216 1454 y Ft(m)322 1490 y Fw(is)j(c)-5 b(omp)g(ar)g(able)33 b(to)g(R)n(iemannian)f(metric) h(on)g(the)h(manifold,)e(and)h(thus)h(our)g(metric)f(estimates)150 1611 y(inde)-5 b(e)g(d)39 b(apply)g(in)g(the)g(ar)-5 b(guments)40 b(of)f(se)-5 b(ction)39 b(4.)58 b(Note)40 b(that)g(bi-Lipschitzness)e({)h(with)h(Lipschitz)150 1731 y(c)-5 b(onstant)47 b(arbitr)-5 b(arily)48 b(close)e(to)i(one)f({) g(c)-5 b(an)47 b(always)g(b)-5 b(e)47 b(obtaine)-5 b(d)47 b(by)g(cho)-5 b(osing)46 b(the)i(c)-5 b(o)g(or)g(dinate)150 1851 y(p)g(atches)34 b(su\016ciently)h(smal)5 b(l.)296 1972 y(As)40 b(to)f(the)g(pr)-5 b(oblem)39 b(of)f(Lipschitz)h(de)-5 b(c)g(omp)g(osition,)38 b(we)h(wil)5 b(l)39 b(say)g(that)h Fx(H)j Fv(\032)36 b(M)j Fw(is)g(Lipschitz)150 2092 y(de)-5 b(c)g(omp)g(osable)34 b(whenever)i(a)g(\014nite)g(bi-Lipschitz)g(atlas) g(c)-5 b(an)36 b(b)-5 b(e)36 b(chosen,)g(such)g(that)h(for)f(al)5 b(l)36 b(charts)150 2213 y Fx( )213 2228 y Ft(t)243 2213 y Fz(\()p Fx(H)26 b Fv(\\)18 b Fx(U)538 2228 y Ft(t)568 2213 y Fz(\))33 b Fw(is)g(Lipschitz)g(de)-5 b(c)g(omp)g(osable)31 b(as)h(a)h(subset)g(of)g Fq(R)2415 2176 y Ft(m)2488 2213 y Fw(,)g(in)g(the)g(sense)f(of)h(De\014nition)f(3.5.)3861 2176 y Fu(2)296 2463 y Fz(The)39 b(precise)f(prop)s(ert)m(y)h(that)e(w) m(e)i(exp)s(ect)g(the)f(singularities)d(of)i(semi-disp)s(ersing)f (billiards)e(to)150 2583 y(ha)m(v)m(e)g(is)e(form)m(ulated)f(in)h(the)h (form)e(of)h(a)h(conjecture:)150 2784 y Fp(Conjecture)38 b(3.7.)49 b Fw(F)-7 b(or)24 b(any)i(semi-disp)-5 b(ersing)23 b(bil)5 b(liar)-5 b(d)25 b(ther)-5 b(e)25 b(exists)h(an)f Fx(L)j Fv(2)g Fq(R)36 b Fw(such)26 b(that)g(for)f(any)150 2904 y(inte)-5 b(ger)33 b Fx(N)43 b Fw(the)33 b(set)902 2830 y Fn(S)985 2933 y Fr(j)p Ft(n)p Fr(j\024)p Ft(N)1206 2904 y Fv(R)1290 2868 y Ft(n)1370 2904 y Fw(of)g(singularities)f(of)h (or)-5 b(der)33 b(up)g(to)g Fx(N)43 b Fw(is)33 b(`Lipschitz)f(de)-5 b(c)g(omp)g(osable')150 3025 y(with)35 b(c)-5 b(onstant)34 b Fx(L)p Fw(.)296 3226 y Fz(The)45 b(statemen)m(t)g(of)f(this)g (conjecture)h(will)d(app)s(ear)i(w)m(ord)h(b)m(y)g(w)m(ord)f(among)f (the)i(conditions)150 3346 y(of)37 b(the)h(mo)s(di\014ed)e(v)m(ersion)i (of)f(the)h(fundamen)m(tal)e(theorem)h(for)g(semi-disp)s(ersing)f (billiards)e(stated)150 3467 y(in)k(section)h(4.1.)62 b(The)40 b(conjecture)g(will)c(b)s(e)k(pro)m(v)m(en)g(for)e(the)h (utmost)g(imp)s(ortan)m(t)e(sp)s(ecial)h(case)h(of)150 3587 y(semi-disp)s(ersing)31 b(billiards)e(with)j(algebraic)f (scatterers)j(in)e(section)h(5.)296 3756 y(T)-8 b(o)23 b(help)f(the)h(reader)f(understand)i(wh)m(y)g(this)e(`Lipsc)m(hitz)g (decomp)s(osabilit)m(y')f(prop)s(ert)m(y)i(is)f(de\014ned)150 3877 y(exactly)g(as)g(it)f(is,)j(w)m(e)f(presen)m(t)g(t)m(w)m(o)g(more) e(lemmas)f(in)h(this)h(section.)40 b(These)24 b(are)e(the)g(lemmas)e (through)150 3997 y(whic)m(h)33 b(the)g(decomp)s(osabilit)m(y)e(of)h (singularities)e(will)g(b)s(e)j(used.)150 4198 y Fp(Lemma)k(3.8.)49 b Fw(L)-5 b(et)48 b Fx(H)59 b Fv(2)51 b Fq(R)1274 4162 y Ft(m)1394 4198 y Fw(b)-5 b(e)47 b(a)h(one-c)-5 b(o)g(dimensional)44 b(lo)-5 b(c)g(al)5 b(ly)47 b(Lipschitz)g(gr)-5 b(aph)47 b(with)h Fx(H)58 b Fz(=)150 4318 y Fv(f)p Fz(\()p Fx(x;)17 b(f)11 b Fz(\()p Fx(x)p Fz(\)\))28 b Fv(j)f Fx(x)h Fv(2)g Fx(D)s Fv(g)p Fw(,)50 b Fx(D)k Fv(\032)d Fq(R)1368 4282 y Ft(m)p Fr(\000)p Fu(1)1578 4318 y Fw(op)-5 b(en,)50 b Fx(f)61 b Fz(:)51 b Fx(D)j Fv(!)c Fq(R)59 b Fw(lo)-5 b(c)g(al)5 b(ly)47 b(Lipschitz)f(with)i(c)-5 b(onstant)47 b Fx(L)p Fw(.)150 4439 y(Assume)35 b(furthermor)-5 b(e)35 b(that)g Fv(L)1319 4403 y Ft(m)1402 4358 y Fn(\000)1447 4439 y Fz(\()p Fx(@)5 b(H)j Fz(\))1668 4403 y Fu([)p Ft(\016)r Fu(])1746 4358 y Fn(\001)1819 4439 y Fz(=)28 b Fx(o)p Fz(\()p Fx(\016)t Fz(\))p Fw(.)150 4559 y(L)-5 b(et)35 b Fx(D)402 4523 y Fr(0)453 4559 y Fv(\032)28 b Fx(D)38 b Fw(arbitr)-5 b(ary,)35 b Fx(H)1203 4523 y Fr(0)1253 4559 y Fz(=)28 b Fv(f)p Fz(\()p Fx(x;)17 b(f)11 b Fz(\()p Fx(x)p Fz(\)\))27 b Fv(j)h Fx(x)g Fv(2)g Fx(D)2116 4523 y Fr(0)2139 4559 y Fv(g)p Fw(.)44 b(Then)1139 4776 y Fv(L)1208 4735 y Ft(m)1291 4696 y Fn(\000)1337 4776 y Fx(H)1426 4735 y Fr(0)p Fu([)p Ft(\016)r Fu(])1521 4696 y Fn(\001)1595 4776 y Fv(\024)28 b Fz(2)p Fx(\016)1796 4689 y Fv(p)p 1879 4689 275 4 v 87 x Fx(L)1945 4748 y Fu(2)2007 4776 y Fz(+)22 b(1)o Fv(L)2222 4735 y Ft(m)p Fr(\000)p Fu(1)2396 4696 y Fn(\000)2470 4751 y Fz(\026)2441 4776 y Fx(D)2525 4748 y Fr(0)2548 4696 y Fn(\001)2616 4776 y Fz(+)g Fx(o)p Fz(\()p Fx(\016)t Fz(\))p Fx(:)150 4994 y Fw(Pr)-5 b(o)g(of.)48 b Fz(Let)53 b Fx(x)705 5009 y Fu(0)807 4994 y Fv(2)63 b Fx(D)s Fz(,)58 b Fx(X)1186 5009 y Fu(0)1287 4994 y Fz(=)k(\()p Fx(x)1518 5009 y Fu(0)1558 4994 y Fx(;)17 b(f)11 b Fz(\()p Fx(x)1754 5009 y Fu(0)1793 4994 y Fz(\)\))62 b Fv(2)h Fx(H)8 b Fz(.)103 b(If)53 b(dist\()p Fx(x)2648 5009 y Fu(0)2688 4994 y Fx(;)17 b(@)5 b(D)s Fz(\))62 b Fx(>)g(\016)57 b Fz(then)c Fx(B)3526 5009 y Ft(\016)3564 4994 y Fz(\()p Fx(X)3683 5009 y Fu(0)3722 4994 y Fz(\))63 b Fv(\032)150 5033 y Fn(\010)208 5114 y Fz(\()p Fx(x;)17 b(y)t Fz(\))27 b Fv(j)g Fx(x)h Fv(2)g Fx(D)s(;)49 b Fz(dist\()p Fx(x;)17 b(x)1204 5129 y Fu(0)1244 5114 y Fz(\))28 b Fv(\024)g Fx(\016)n(;)50 b Fv(j)p Fx(y)25 b Fv(\000)d Fx(f)11 b Fz(\()p Fx(x)p Fz(\))p Fv(j)28 b(\024)g Fx(\016)2131 5032 y Fv(p)p 2214 5032 V 82 x Fx(L)2280 5085 y Fu(2)2342 5114 y Fz(+)22 b(1)2488 5033 y Fn(\011)2546 5114 y Fz(.)99 b(On)51 b(the)h(other)f(hand,)56 b(if)49 b Fx(d)59 b Fz(=)p 150 5216 1500 4 v 262 5277 a Fk(2)299 5308 y Fj(The)34 b(delicate)g(question)g(ho)n(w)f(sensitiv)n(e)g(this)i(notion)e(of)h (Lipsc)n(hitz-decomp)r(osition)f(is)h(to)f(the)i(c)n(hoice)e(of)h(the) 150 5407 y(atlas)27 b(needs)g(further)h(in)n(v)n(estigation.)1976 5656 y Fz(13)p eop %%Page: 14 14 14 13 bop 150 407 a Fz(dist\()p Fx(x)401 422 y Fu(0)441 407 y Fx(;)17 b(@)5 b(D)s Fz(\))61 b Fv(\024)h Fx(\016)56 b Fz(then)d(there)g(exists)g(an)f Fx(x)1972 422 y Fu(1)2073 407 y Fv(2)61 b Fx(@)5 b(D)56 b Fz(with)c(dist\()p Fx(x)2886 422 y Fu(0)2926 407 y Fx(;)17 b(x)3025 422 y Fu(1)3064 407 y Fz(\))61 b(=)g Fx(d)p Fz(.)103 b(F)-8 b(or)51 b(ev)m(ery)150 527 y(0)27 b Fv(\024)i Fx(t)f(<)f Fz(1)h Fx(x)630 542 y Ft(t)688 527 y Fz(:=)f Fx(tx)908 542 y Fu(1)961 527 y Fz(+)13 b(\(1)g Fv(\000)g Fx(t)p Fz(\))p Fx(x)1368 542 y Fu(0)1435 527 y Fv(2)28 b Fx(D)s Fz(,)h(otherwise)g(dist)o(\()p Fx(x)2349 542 y Fu(0)2389 527 y Fx(;)17 b(@)5 b(D)s Fz(\))28 b Fx(<)g(d)f Fz(w)m(ould)h(hold.)41 b(The)29 b(function)150 648 y Fx(g)40 b Fz(:)d([0)p Fx(;)17 b Fz(1\))36 b Fv(!)h Fq(R)5 b Fz(,)45 b Fx(g)t Fz(\()p Fx(t)p Fz(\))36 b(:=)h Fx(f)11 b Fz(\()p Fx(x)1309 663 y Ft(t)1339 648 y Fz(\))38 b(is)f(Lipsc)m(hitz)h(with)g(constan)m(t)h Fx(L)p Fz(,)g(so)g Fx(g)t Fz(\(1\))c(:=)i(lim)3312 663 y Ft(t)p Fr(\045)p Fu(1)3464 648 y Fx(g)t Fz(\()p Fx(t)p Fz(\))g(exists)150 768 y(and)c Fv(j)p Fx(g)t Fz(\(1\))21 b Fv(\000)i Fx(g)t Fz(\(0\))p Fv(j)k(\024)i Fx(dL)p Fz(.)45 b(Ob)m(viously)33 b Fx(X)1731 783 y Fu(1)1799 768 y Fz(:=)c(\()p Fx(x)2024 783 y Fu(1)2063 768 y Fx(;)17 b(g)t Fz(\(1\)\))27 b Fv(2)i Fx(@)5 b(H)42 b Fz(and)33 b(dist\()p Fx(X)3089 783 y Fu(0)3128 768 y Fx(;)17 b(X)3253 783 y Fu(1)3292 768 y Fz(\))28 b Fv(\024)h Fx(d)3515 686 y Fv(p)p 3598 686 275 4 v 82 x Fx(L)3664 739 y Fu(2)3726 768 y Fz(+)22 b(1.)150 888 y(That)33 b(is,)f Fx(B)593 903 y Ft(\016)631 888 y Fz(\()p Fx(X)750 903 y Fu(0)789 888 y Fz(\))c Fv(\032)g Fx(B)1034 916 y Fu(\()1061 860 y Fr(p)p 1121 860 173 3 v 1121 916 a Ft(L)1169 897 y Fo(2)1203 916 y Fu(+1+1\))p Ft(\016)1449 888 y Fz(\()p Fx(X)1568 903 y Fu(1)1607 888 y Fz(\).)43 b(Putting)32 b(ev)m(erything)i(together,)f(w)m(e)h(ha)m (v)m(e)283 1149 y(\()p Fx(H)410 1108 y Fr(0)433 1149 y Fz(\))471 1108 y Fu([)p Ft(\016)r Fu(])575 1149 y Fv(\032)681 1038 y Fn(n)747 1149 y Fz(\()p Fx(x;)17 b(y)t Fz(\))27 b Fv(j)g Fx(x)h Fv(2)g Fz(\()p Fx(D)1355 1108 y Fr(0)1378 1149 y Fz(\))1416 1108 y Fu([)p Ft(\016)r Fu(])1515 1149 y Fv(\\)23 b Fx(D)s(;)17 b Fv(j)p Fx(y)24 b Fv(\000)f Fx(f)11 b Fz(\()p Fx(x)p Fz(\))p Fv(j)27 b(\024)i Fx(\016)2330 1062 y Fv(p)p 2413 1062 275 4 v 87 x Fx(L)2479 1120 y Fu(2)2540 1149 y Fz(+)22 b(1)2687 1038 y Fn(o)2776 1149 y Fv([)g Fz(\()p Fx(@)5 b(H)j Fz(\))3085 1108 y Fu([\()3132 1052 y Fr(p)p 3192 1052 173 3 v 3192 1108 a Ft(L)3240 1089 y Fo(2)3274 1108 y Fu(+1+1\))p Ft(\016)r Fu(])3539 1149 y Fx(:)133 b Fz(\(3.2\))150 1385 y(This)33 b(implies)626 1621 y Fv(L)695 1579 y Ft(m)778 1540 y Fn(\000)824 1621 y Fz(\()p Fx(H)951 1579 y Fr(0)974 1621 y Fz(\))1012 1579 y Fu([)p Ft(\016)r Fu(])1089 1540 y Fn(\001)1162 1621 y Fv(\024)28 b Fz(2)p Fx(\016)1363 1533 y Fv(p)p 1446 1533 275 4 v 88 x Fx(L)1512 1592 y Fu(2)1574 1621 y Fz(+)22 b(1)p Fv(L)1790 1579 y Ft(m)p Fr(\000)p Fu(1)1963 1540 y Fn(\000)2008 1621 y Fz(\()p Fx(D)2130 1579 y Fr(0)2153 1621 y Fz(\))2191 1579 y Fu([)p Ft(\016)r Fu(])2268 1540 y Fn(\001)2336 1621 y Fz(+)g Fv(L)2503 1579 y Ft(m)2586 1510 y Fn(\020)2645 1621 y Fz(\()p Fx(@)5 b(H)j Fz(\))2866 1579 y Fu([\()2913 1524 y Fr(p)p 2973 1524 173 3 v 2973 1579 a Ft(L)3021 1560 y Fo(2)3055 1579 y Fu(+1+1\))p Ft(\016)r Fu(])3320 1510 y Fn(\021)3397 1621 y Fx(:)150 1873 y Fz(This)34 b(giv)m(es)h(the)f(statemen)m(t)g(of)g(the)g(lemma)e (since)i Fv(L)2145 1837 y Ft(m)p Fr(\000)p Fu(1)2318 1792 y Fn(\000)2364 1873 y Fz(\()p Fx(D)2486 1837 y Fr(0)2509 1873 y Fz(\))2547 1837 y Fu([)p Ft(\016)r Fu(])2624 1792 y Fn(\001)2700 1873 y Fz(=)c Fv(L)2875 1837 y Ft(m)p Fr(\000)p Fu(1)3048 1792 y Fn(\000)3122 1848 y Fz(\026)3093 1873 y Fx(D)3177 1844 y Fr(0)3200 1792 y Fn(\001)3269 1873 y Fz(+)23 b Fx(o)p Fz(\(1\))33 b(and)i(the)150 1994 y(second)f(term)e(is)g Fx(o)p Fz(\()p Fx(\016)t Fz(\))g(b)s(ecause)i (of)e(our)h(assumption.)p 3829 1994 4 66 v 3833 1931 59 4 v 3833 1994 V 3891 1994 4 66 v 296 2187 a(In)38 b(the)g(next)h(lemma,)e Fx(\031)k Fz(will)36 b(denote)i(the)g(pro)5 b(jection)38 b(of)f Fq(R)2598 2151 y Ft(m)2708 2187 y Fz(to)g Fq(R)2898 2151 y Ft(m)p Fr(\000)p Fu(1)3098 2187 y Fz(parallel)e(to)j(the)g(last)150 2307 y(axis:)43 b Fx(\031)t Fz(\(\()p Fx(x;)17 b(y)t Fz(\)\))27 b(:=)h Fx(x)k Fz(when)i Fx(x)28 b Fv(2)g Fq(R)1491 2271 y Ft(m)q Fr(\000)p Fu(1)1687 2307 y Fz(and)k Fx(y)f Fv(2)d Fq(R)5 b Fz(.)150 2506 y Fp(Lemma)37 b(3.9.)49 b Fw(L)-5 b(et)47 b Fx(H)58 b Fv(\032)50 b Fq(R)1282 2469 y Ft(m)1401 2506 y Fw(b)-5 b(e)46 b(a)h(one-c)-5 b(o)g(dimensional)44 b(lo)-5 b(c)g(al)5 b(ly)46 b(Lipschitz)g(gr)-5 b(aph)46 b(with)h Fx(H)57 b Fz(=)150 2626 y Fv(f)p Fz(\()p Fx(x;)17 b(f)11 b Fz(\()p Fx(x)p Fz(\)\))28 b Fv(j)f Fx(x)h Fv(2)g Fx(D)s Fv(g)p Fw(,)38 b Fx(D)e Fv(\032)e Fq(R)1321 2590 y Ft(m)p Fr(\000)p Fu(1)1521 2626 y Fw(op)-5 b(en,)38 b Fx(f)44 b Fz(:)33 b Fx(D)j Fv(!)d Fq(R)49 b Fw(lo)-5 b(c)g(al)5 b(ly)37 b(Lipschitz)g(with)h(c)-5 b(onstant)38 b Fx(L)p Fw(.)54 b(L)-5 b(et)150 2746 y Fx(\016)32 b(>)27 b Fz(0)35 b Fw(and)f Fx(G)28 b Fv(\032)g Fq(R)877 2710 y Ft(m)984 2746 y Fw(b)-5 b(e)35 b(such)f(that)i Fz(dist)o(\()p Fx(G;)17 b(@)5 b(H)j Fz(\))28 b Fx(>)g Fz(\()2194 2664 y Fv(p)p 2277 2664 275 4 v 82 x Fx(L)2343 2718 y Fu(2)2405 2746 y Fz(+)22 b(1)f(+)h(1\))p Fx(\016)t Fw(.)45 b(Then)1147 2960 y Fv(L)1216 2919 y Ft(m)1299 2880 y Fn(\000)1344 2960 y Fx(H)1433 2919 y Fu([)p Ft(\016)r Fu(])1532 2960 y Fv(\\)23 b Fx(G)1698 2880 y Fn(\001)1771 2960 y Fv(\024)28 b Fz(2)p Fx(\016)1972 2873 y Fv(p)p 2055 2873 V 87 x Fx(L)2121 2932 y Fu(2)2183 2960 y Fz(+)22 b(1)p Fv(L)2399 2919 y Ft(m)p Fr(\000)p Fu(1)2572 2960 y Fz(\()p Fx(\031)t Fz(\()p Fx(G)p Fz(\)\))16 b Fx(:)150 3174 y Fw(Pr)-5 b(o)g(of.)48 b Fz(Let)40 b Fx(H)726 3138 y Fr(0)787 3174 y Fz(=)e Fx(H)8 b Fz(.)62 b(\(3.2\))39 b(holds)f(just)h(lik)m(e)g(in)f (the)h(previous)h(lemma.)60 b(Since)39 b(dist\()p Fx(G;)17 b(@)5 b(H)j Fz(\))38 b Fx(>)150 3295 y Fz(\()188 3212 y Fv(p)p 271 3212 V 83 x Fx(L)337 3266 y Fu(2)399 3295 y Fz(+)22 b(1)g(+)g(1\))p Fx(\016)t Fz(,)32 b(this)g(means)h(that)748 3536 y Fx(H)837 3495 y Fu([)p Ft(\016)r Fu(])935 3536 y Fv(\\)23 b Fx(G)28 b Fv(\032)1234 3426 y Fn(n)1300 3536 y Fz(\()p Fx(x;)17 b(y)t Fz(\))27 b Fv(j)g Fx(x)h Fv(2)h Fx(D)24 b Fv(\\)f Fx(\031)t Fz(\()p Fx(G)p Fz(\))p Fx(;)17 b Fv(j)p Fx(y)24 b Fv(\000)f Fx(f)11 b Fz(\()p Fx(x)p Fz(\))p Fv(j)27 b(\024)h Fx(\016)2834 3449 y Fv(p)p 2917 3449 V 87 x Fx(L)2983 3507 y Fu(2)3045 3536 y Fz(+)22 b(1)3192 3426 y Fn(o)3275 3536 y Fx(;)150 3772 y Fz(whic)m(h)33 b(giv)m(es)g(the)g(statemen)m(t)g(of)f(the)h(lemma.)p 3829 3772 4 66 v 3833 3710 59 4 v 3833 3772 V 3891 3772 4 66 v 150 4225 a Fy(4)161 b(The)53 b(F)-13 b(undamen)l(tal)53 b(Theorem)150 4444 y Fz(This)36 b(section)h(is)e(dev)m(oted)j(to)e(the) g(fundamen)m(tal)f(theorem)h({)g(or)g(lo)s(cal)e(ergo)s(dicit)m(y)h (theorem)h({)f(for)150 4565 y(semi-disp)s(ersing)24 b(billiards.)38 b(The)27 b(t)m(w)m(o-dimensional)c(case)k(had)f(b)s(een)g(settled)g(in) f(Sinai's)f(celebrated)150 4685 y(w)m(ork,)39 b([S\(1970\)].)56 b(Sev)m(en)m(teen)40 b(y)m(ears)e(had)f(elapsed)h(un)m(til)d(the)j(m)m (ultidimensional)32 b(generalization)150 4805 y(giv)m(en)37 b(b)m(y)g(Cherno)m(v)h(and)f(Sinai)e(app)s(eared,)j([S-Ch\(1987\)].)55 b(It)37 b(o\013ered)g(a)f(quite)h(in)m(v)m(olv)m(ed,)h(but)f(in)150 4926 y(essence)25 b(v)m(ery)f(transparen)m(t)f(form)m(ulation)c(of)j (the)h(theorem)f(and)g(a)h(delicate)e(pro)s(of.)39 b(A)23 b(self-con)m(tained)150 5046 y(exp)s(osition)30 b(of)g(the)h(original)d (ideas)i(with)h(detailed)f(conditions)f(and)i(argumen)m(ts)g(w)m(ere)h (pro)m(vided)g(in)150 5166 y([K-S-Sz\(1990\)])k(where)i(a)f(sligh)m (tly)e(more)h(general,)i(the)f(so)g(called)f(\\transv)m(ersal")h(v)m (ersion)h(of)f(the)150 5287 y(fundamen)m(tal)42 b(theorem)h(w)m(as)h (announced)h(|)e(mainly)e(with)i(its)f(application)f(to)i (three-billiards)150 5407 y(in)g(mind.)75 b(Sev)m(eral)44 b(other)g(pap)s(ers)g(ha)m(v)m(e)h(app)s(eared)f(in)f(the)h(90s)g(with) f(nice)g(exp)s(ositions)g(of)h(the)1976 5656 y(14)p eop %%Page: 15 15 15 14 bop 150 407 a Fz(theorem,)50 b(ev)m(en)e(for)e(classes)h(of)f (dynamical)f(systems)i(more)f(general)g(than)g(the)h(original)c(semi-) 150 527 y(disp)s(ersing)36 b(billiard)e(setting)j(\(eg.)56 b(Hamiltonian)33 b(systems)39 b(with)d(singularities)f(in)h ([L-W\(1995\)]\).)150 648 y(Ho)m(w)m(ev)m(er,)e(all)29 b(of)i(these)i(pap)s(ers)e(assumed)h(that)g(for)e(all)g(p)s(o)m(w)m (ers)i(of)f(the)h(dynamics)f(the)h(singularit)m(y)150 768 y(set)i(is)f(a)h(\014nite)f(collection)e(of)j(one-co)s(dimensional) c(smo)s(oth)j(and)h(compact)f(submanifolds.)45 b(Since,)150 888 y(as)30 b(our)f(coun)m(terexample)h(sho)m(ws,)i(this)e(is)f(not)g (the)h(case,)h(it)e(b)s(ecame)h(utmost)f(necessary)j(to)d(replace)150 1009 y(this)j(assumption.)296 1129 y(Throughout)h(the)f(section)g(our)g (main)e(reference)k(is)d([K-S-Sz\(1990\)].)42 b(Actually)-8 b(,)31 b(our)h(aim)e(is)h(to)150 1249 y(demonstrate)g(that)g(it)f(is)h (p)s(ossible)f(to)h(mo)s(dify)e(the)j(pro)s(of)e(presen)m(ted)j(there)f (to)f(the)g(case)h(when)h(the)150 1370 y(singularit)m(y)28 b(sets)i(are)g(not)f(smo)s(oth)f(but)i(just)g(\014nitely)e(Lipsc)m (hitz-decomp)s(osable.)42 b(After)29 b(form)m(ulat-)150 1490 y(ing)i(the)h(conditions)e(and)i(the)g(statemen)m(t)g(of)f(the)h (theorem,)g(w)m(e)h(giv)m(e)e(a)g(sk)m(etc)m(h)j(of)d(the)h(pro)s(of)f (\(that)150 1611 y(go)s(es)38 b(along)e(the)i(lines)f(of)g ([K-S-Sz\(1990\)]\))g(and)h(w)m(ork)g(out)g(those)g(parts)g(in)f(more)g (detail,)h(where)150 1731 y(the)33 b(original)d(argumen)m(t)i(is)h(to)f (b)s(e)h(mo)s(di\014ed.)43 b(Our)33 b(notations)f(in)m(tro)s(duced)h (mainly)d(in)i(section)h(2.1)150 1851 y(coincide)26 b(in)g(almost)f (all)f(cases)k(with)e(those)h(of)f([K-S-Sz\(1990\)])g(\(w)m(e)h(ha)m(v) m(e)h(just)f(altered)f(the)h(original)150 1972 y(con)m(v)m(en)m(tions) 34 b(at)e(some)h(places)g(for)f(the)h(sak)m(e)h(of)e(simplicit)m(y\).) 296 2092 y(One)27 b(more)e(remark:)40 b(follo)m(wing)23 b([K-S-Sz\(1990\)])51 b(the)27 b(form)m(ulation)c(of)i(the)i(theorem)f (presen)m(ted)150 2213 y(here)g(\(the)f(`transv)m(ersal')h(fundamen)m (tal)e(theorem\))g(is)h(sligh)m(tly)e(more)h(general)g(than)h(the)h (one)f(usually)150 2333 y(referred)33 b(to)g(in)e(the)i(literature.)150 2622 y Fs(4.1)135 b(F)-11 b(orm)l(ulation)46 b(of)f(the)h(theorem)150 2806 y Fz(Before)e(its)g(form)m(ulation)d(its)j(is)g(imp)s(ortan)m(t)e (to)i(p)s(oin)m(t)f(out)h(the)h Fp(conditions)e Fz(under)i(whic)m(h)g (the)150 2927 y(mo)s(di\014ed)31 b(pro)s(of)h(of)g(the)h(theorem)g(w)m (orks.)44 b(W)-8 b(e)33 b(use)h(the)f(notations)f(in)m(tro)s(duced)g (in)g(section)h(2.1.)150 3130 y Fp(Condition)j(4.1.)49 b Fz(\(Cheno)m(v-Sinai)c(Ansatz,)50 b(Condition)44 b(3.1)h(from)f ([K-S-Sz\(1990\)]\).)79 b Fw(F)-7 b(or)46 b Fx(\027)3801 3145 y Fr(R)3865 3130 y Fw(-)150 3251 y(almost)36 b(every)h(p)-5 b(oint)37 b Fx(x)32 b Fv(2)g(R)38 b Fw(we)e(have)g Fx(x)d Fv(2)f Fx(@)5 b(M)1997 3215 y Fr(\003)2075 3251 y Fw(and,)37 b(mor)-5 b(e)g(over,)36 b(the)h(p)-5 b(ositive)36 b(semi-tr)-5 b(aje)g(ctory)150 3371 y(of)35 b(the)f(p)-5 b(oint)35 b Fx(x)g Fw(is)g(su\016cient.)296 3574 y Fz(What)e(follo)m(ws)f(b)s (elo)m(w)h(is)f(our)h(new)h(condition)d({)i(Lipsc)m(hitz)f(decomp)s (osabilit)m(y)f({)i(on)g(singulari-)150 3695 y(ties.)43 b(In)33 b(the)g(original)c(pro)s(of)j(smo)s(othness)h(w)m(as)g (assumed,)g(ev)m(en)h(though)f(it)e(w)m(as)i(only)f(form)m(ulated)150 3815 y(as)27 b(a)f(condition)g(for)g(the)h(set)h(of)e(double)g (singularities)f({)h(see)i(Condition)d(3.3)i(from)e ([K-S-Sz\(1990\)]\).)150 4019 y Fp(Condition)36 b(4.2.)49 b Fw(Ther)-5 b(e)40 b(exists)h(an)f Fx(L)f Fv(2)h Fq(R)51 b Fw(such)41 b(that)g(for)g(every)g Fx(N)49 b Fv(2)39 b Fq(N)56 b Fw(the)41 b(singularity)g(set)208 4064 y Fn(S)150 4230 y Fr(j)p Ft(n)p Fr(j\024)p Ft(N)367 4139 y Fv(R)451 4103 y Ft(n)533 4139 y Fw(is)34 b(`Lipschitz)h(de)-5 b(c)g(omp)g(osable')32 b(with)j(c)-5 b(onstant)35 b Fx(L)g Fw(\(cf.)44 b(Conje)-5 b(ctur)g(e)35 b(3.7\).)296 4417 y Fp(Some)j(remarks.)295 4621 y Fv(\017)49 b Fz(F)-8 b(or)35 b(the)g(set)i(of)e(singular)f(re\015ections)i(itself)e(the)i (original)c(prop)s(ert)m(y)k(remains)f(true:)49 b Fv(R)36 b Fz(is)f(a)394 4741 y(\014nite)d(collection)f(of)h(smo)s(oth)f (compact)i(manifolds)d(of)i(co)s(dimension)f(1.)295 4945 y Fv(\017)49 b Fz(Condition)23 b(4.2)i(can)g(only)f(b)s(e)h (satis\014ed)h(b)m(y)f(semi-disp)s(ersing)e(billiards)f(with)i(a)h (\014nite)g(horizon.)394 5065 y(Ho)m(w)m(ev)m(er,)38 b(the)e(in\014nite)e(horizon)g(case)i(can)f(easily)g(b)s(e)g(reduced)i (to)d(the)i(\014nite)f(horizon)f(case)394 5185 y(\(cf.)43 b([S-Ch\(1987\)],)33 b([K-S-Sz\(1990\)].)1976 5656 y(15)p eop %%Page: 16 16 16 15 bop 295 407 a Fv(\017)49 b Fz(As)41 b(to)g(the)g(original)d(exp)s (osition,)k(one)f(more)g(condition)e(w)m(as)j(assumed)g(on)f(the)g (geometry)394 527 y(of)j(the)h(scatterers)i(\(the)e(regularit)m(y)e(of) i(the)g(set)g(of)g(degenerate)h(tangencies)f(-)f(Condition)394 648 y(3.2)37 b(in)g([K-S-Sz\(1990\)]\).)56 b(Ho)m(w)m(ev)m(er,)41 b(the)d(role)f(of)g(this)g(condition)f(w)m(as)i(to)f(guaran)m(tee)h (that)394 768 y(p)s(oin)m(ts)33 b(b)s(elonging)e(to)i(t)m(w)m(o)h (di\013eren)m(t)g(smo)s(oth)e(comp)s(onen)m(ts)i(of)f(the)g(singularit) m(y)f(set)i(b)s(elong)394 888 y(to)f(\014nitely)g(man)m(y)g(co)s (dimension)f(2)h(submanifolds.)45 b(No)m(w)34 b(instead)f(of)g(smo)s (oth)f(comp)s(onen)m(ts)394 1009 y(w)m(e)42 b(ha)m(v)m(e)h(Lipsc)m (hitz)e(graphs)h(and)g(it)e(is)h(enough)h(to)f(require)h(that)f(the)h Fx(\016)t Fz(-neigh)m(b)s(ourho)s(o)s(ds)394 1129 y(of)f(their)g(b)s (oundaries)g(ha)m(v)m(e)i(a)e(v)m(olume)g(of)h Fx(o)p Fz(\()p Fx(\016)t Fz(\),)h(whic)m(h)f(is)f(a)g(little)e(less)j(than)g (b)s(eing)f(t)m(w)m(o-)394 1249 y(co)s(dimensional)30 b(\(cf.)43 b(De\014nition)31 b(3.5\).)296 1498 y(T)-8 b(o)31 b(form)m(ulate)e(the)i(fundamen)m(tal)e(theorem,)i(w)m(e)h(in)m (tro)s(duce)e(the)h(notion)e(of)h(regular)g(co)m(v)m(erings.)150 1618 y(Note)j(that)f Fx(m)c Fz(=)g(2)p Fx(d)21 b Fv(\000)i Fz(2)32 b(is)g(the)h(dimension)e(of)i(the)g(\(P)m(oincar)m(\023)-46 b(e\))32 b(phase)i(space)f Fx(@)5 b(M)10 b Fz(.)150 1818 y Fp(De\014nition)36 b(4.3.)49 b Fz(\(F)-8 b(or)38 b(a)g(more)g (precise)i(form)m(ulation)35 b(see)40 b(De\014nition)d(3.4)h(in)g ([K-S-Sz\(1990\)]\).)150 1938 y Fw(L)-5 b(et)41 b(us)f(assume)g(that)h (for)f(a)h(p)-5 b(oint)40 b Fx(x)e Fv(2)h Fx(@)5 b(M)1870 1902 y Fr(\003)1951 1938 y Fw(and)40 b(its)h(neighb)-5 b(orho)g(o)g(d)38 b Fx(U)10 b Fz(\()p Fx(x)p Fz(\))42 b Fw(a)e(smo)-5 b(oth)40 b(foliation)150 2059 y Fx(U)10 b Fz(\()p Fx(x)p Fz(\))41 b(=)f Fv([)580 2078 y Ft(\013)p Fr(2)p Ft(B)728 2059 y Fh(d)p Fl(\000)p Fo(1)10 b Fz(\000)909 2074 y Ft(\013)999 2059 y Fw(is)42 b(given.)63 b(The)41 b(foliae)g Fz(\000)1962 2074 y Ft(\013)2053 2059 y Fw(ar)-5 b(e)41 b Fx(d)27 b Fv(\000)g Fz(1)p Fw(-dimensional)39 b(manifolds)h(uniformly)150 2179 y(tr)-5 b(ansversal)34 b(to)h(al)5 b(l)35 b(p)-5 b(ossible)33 b(lo)-5 b(c)g(al)35 b(stable)f(manifolds)f(\()p Fx(B)2306 2143 y Ft(d)p Fr(\000)p Fu(1)2472 2179 y Fw(is)i(the)g(standar)-5 b(d)34 b Fx(d)22 b Fv(\000)g Fz(1)p Fw(-dimensional)150 2299 y(op)-5 b(en)34 b(b)-5 b(al)5 b(l\).)296 2420 y(The)35 b(p)-5 b(ar)g(ametrize)g(d)33 b(family)i(of)f(\014nite)h(c)-5 b(overings)1137 2635 y Fv(G)1202 2594 y Ft(\016)1267 2635 y Fz(=)28 b Fv(f)p Fx(G)1498 2594 y Ft(\016)1498 2660 y(i)1570 2635 y Fv(j)35 b Fx(i)28 b Fz(=)f(1)p Fx(;)17 b(:::;)g(I)8 b Fz(\()p Fx(\016)t Fz(\))34 b Fv(g)200 b Fz(0)27 b Fx(<)h(\016)j(<)d(\016)2874 2650 y Fu(0)150 2851 y Fw(is)35 b(a)f(family)h(of)f(r)-5 b(e)g(gular)35 b(c)-5 b(overings)34 b(i\013:)265 3051 y(1.)49 b(e)-5 b(ach)34 b Fx(G)690 3014 y Ft(\016)690 3075 y(i)763 3051 y Fw(is)g(an)h(op)-5 b(en)34 b(p)-5 b(ar)g(al)5 b(lelepip)-5 b(e)g(d)33 b(of)i(dimension)e Fz(2)p Fx(d)21 b Fv(\000)i Fz(2)p Fw(;)265 3253 y(2.)49 b(the)41 b Fx(d)26 b Fv(\000)h Fz(1)p Fw(-dimesional)39 b(fac)-5 b(es)41 b(of)f Fx(G)1764 3217 y Ft(\016)1764 3277 y(i)1843 3253 y Fw(ar)-5 b(e)41 b(al)5 b(l)41 b(cub)-5 b(es)40 b(with)h(e)-5 b(dge-length)40 b Fx(\016)t Fw(,)i(mor)-5 b(e)g(over,)42 b(they)394 3373 y(may)f(b)-5 b(elong)39 b(to)j(two)e(di\013er)-5 b(ent)41 b(c)-5 b(ate)g(gories:)56 b(the)40 b(s-fac)-5 b(es)40 b(ar)-5 b(e)41 b('p)-5 b(ar)g(al)5 b(lel)40 b(with)g(le)-5 b(aves)40 b(of)h(the)394 3494 y(stable)34 b(foliation)-10 b(')34 b(while)g(the)h Fz(\000)p Fw(-fac)-5 b(es)34 b(ar)-5 b(e)35 b('p)-5 b(ar)g(al)5 b(lel')34 b(with)g(the)h(le)-5 b(aves)34 b(of)h(the)g(foliation)f Fz(\000)p Fw(;)3789 3457 y Fu(3)265 3696 y Fw(3.)49 b(F)-7 b(or)34 b(any)h(p)-5 b(oint,)34 b(the)h(maximal)e(numb)-5 b(er)35 b(of)f(p)-5 b(ar)g(al)5 b(lelepip)-5 b(e)g(ds)33 b(c)-5 b(overing)34 b(it)h(is)g Fz(2)3331 3660 y Fu(2)p Ft(d)p Fr(\000)p Fu(2)3497 3696 y Fw(;)265 3898 y(4.)49 b(if)35 b Fx(G)566 3862 y Ft(\016)566 3922 y(i)625 3898 y Fv(\\)23 b Fx(G)791 3862 y Ft(\016)791 3922 y(j)857 3898 y Fv(6)p Fz(=)k Fv(;)p Fw(,)35 b(then)1676 4031 y Fx(\026)1735 4046 y Fu(1)1774 4031 y Fz(\()p Fx(G)1889 3990 y Ft(\016)1889 4056 y(i)1949 4031 y Fv(\\)23 b Fx(G)2115 3990 y Ft(\016)2115 4056 y(j)2153 4031 y Fz(\))k Fv(\025)h Fx(c)2365 4046 y Fu(1)2405 4031 y Fx(\016)2452 3990 y Fu(2)p Ft(d)p Fr(\000)p Fu(2)394 4203 y Fw(with)35 b Fx(c)648 4218 y Fu(1)722 4203 y Fw(indep)-5 b(endent)33 b(of)i Fx(\016)t Fw(.)296 4403 y Fz(Some)44 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(stable)150 4764 y(manifold)30 b Fx(\015)610 4728 y Ft(s)647 4764 y Fz(\()p Fx(y)t Fz(\))h Fw(interse)-5 b(cts)35 b Fx(G)1318 4728 y Ft(\016)1318 4789 y(i)1390 4764 y Fw(c)-5 b(orr)g(e)g(ctly)33 b Fz(if:)1508 4980 y Fx(@)5 b Fz(\()p Fx(G)1679 4939 y Ft(\016)1679 5005 y(i)1740 4980 y Fv(\\)22 b Fx(\015)1884 4939 y Ft(s)1921 4980 y Fz(\()p Fx(y)t Fz(\)\))27 b Fv(\032)h Fx(@)2275 4939 y Fu(\000)2324 4980 y Fz(\()p Fx(G)2439 4939 y Ft(\016)2439 5005 y(i)2477 4980 y Fz(\))p Fx(:)p 150 5215 1500 4 v 262 5277 a Fk(3)299 5308 y Fj(More)35 b(precisely)g(if)h(w)n(e)f (consider)g(the)h(cen)n(ter)f(of)g(eac)n(h)g(parallelepip)r(ed)g Fi(w)2721 5277 y Fg(\016)2719 5329 y(i)2794 5308 y Ff(2)i Fi(G)2951 5277 y Fg(\016)2951 5329 y(i)2988 5308 y Fj(,)g(the)f(s-)f (and)h(\000-)f(faces)g(are)150 5407 y(parallel)26 b(with)j(the)f (tangen)n(t)f(planes)g Ff(T)1379 5427 y Fg(w)1429 5407 y Fe(\016)1427 5446 y(i)1465 5407 y Fi(\015)1513 5377 y Fg(s)1548 5407 y Fj(\()p Fi(w)1641 5377 y Fg(\016)1639 5429 y(i)1679 5407 y Fj(\))h(and)f Ff(T)1945 5427 y Fg(w)1995 5407 y Fe(\016)1993 5446 y(i)2032 5407 y Fj(\000\()p Fi(w)2177 5377 y Fg(\016)2175 5429 y(i)2214 5407 y Fj(\),)h(resp)r (ectiv)n(ely)-7 b(.)1976 5656 y Fz(16)p eop %%Page: 17 17 17 16 bop 150 407 a Fp(Theorem)37 b(4.4.)49 b(\(The)37 b(F)-9 b(undamen)m(tal)38 b(Theorem\))c Fw(We)h(assume)g(that:)296 546 y(-)g(c)-5 b(onditions)34 b(4.1)g(and)g(4.2)h(ar)-5 b(e)35 b(satis\014e)-5 b(d;)296 666 y(-)35 b(a)g(su\016cient)f(phase)g (p)-5 b(oint)35 b Fx(x)28 b Fv(2)g Fx(@)5 b(M)1723 630 y Fr(\003)1799 666 y Fw(is)35 b(given;)296 787 y(-)g(a)g(smo)-5 b(oth)34 b(tr)-5 b(ansversal)34 b(foliation)g Fz(\000)h Fw(in)g(a)f(neighb)-5 b(orho)g(o)g(d)33 b Fx(U)2606 802 y Fu(0)2681 787 y Fw(of)h Fx(x)i Fw(is)e(\014xe)-5 b(d;)296 907 y(-)35 b(a)g(c)-5 b(onstant)34 b Fz(0)28 b Fx(<)f(\017)1058 922 y Fu(1)1126 907 y Fx(<)g Fz(1)35 b Fw(is)g(chosen.)296 1046 y(Then)28 b(ther)-5 b(e)28 b(is)g(a)f(su\016ciently)i(smal)5 b(l)27 b(neighb)-5 b(orho)g(o)g(d)26 b Fx(U)2331 1061 y Ft(\017)2360 1070 y Fo(1)2399 1046 y Fz(\()p Fx(x)p Fz(\))i Fw(such)g(that)g(for)g(any)g Fx(U)10 b Fz(\()p Fx(x)p Fz(\))29 b Fv(\032)f Fx(U)3701 1061 y Ft(\017)3730 1070 y Fo(1)3769 1046 y Fz(\()p Fx(x)p Fz(\))150 1166 y Fw(and)35 b(for)h(any)g(family)g(of)f(r)-5 b(e)g(gular)36 b(c)-5 b(overings,)35 b(the)h(c)-5 b(overing)35 b Fv(G)2493 1130 y Ft(\016)2567 1166 y Fw(c)-5 b(an)35 b(b)-5 b(e)36 b(divide)-5 b(d)35 b(into)h(two)g(disjoint)150 1287 y(subsets,)f Fv(G)574 1250 y Ft(\016)568 1311 y(g)647 1287 y Fw(and)f Fv(G)901 1250 y Ft(\016)895 1313 y(b)974 1287 y Fw(\(c)-5 b(al)5 b(le)-5 b(d)34 b(`go)-5 b(o)g(d')34 b(and)g(`b)-5 b(ad'\),)34 b(in)g(such)h(a)g(way)f(that:)150 1407 y(\(I\))g(F)-7 b(or)34 b(any)h Fx(G)748 1371 y Ft(\016)748 1432 y(i)813 1407 y Fv(2)28 b(G)972 1371 y Ft(\016)966 1432 y(g)1045 1407 y Fw(and)35 b(any)f(s-fac)-5 b(e)34 b Fx(E)1773 1371 y Ft(s)1845 1407 y Fw(of)h(it,)g(the)g(set:)842 1595 y Fv(f)p Fx(y)c Fv(2)d Fx(G)1142 1554 y Ft(\016)1142 1620 y(i)1214 1595 y Fv(j)35 b Fx(\032)p Fz(\()p Fx(y)t(;)17 b(E)1539 1554 y Ft(s)1575 1595 y Fz(\))27 b Fx(<)h(\017)1783 1610 y Fu(1)1823 1595 y Fx(\016)39 b Fz(and)c Fx(\015)2153 1554 y Ft(s)2189 1595 y Fz(\()p Fx(y)t Fz(\))f(in)m(tersects)j (correctly)q Fv(g)150 1771 y Fw(has)d(p)-5 b(ositive)35 b(r)-5 b(elative)34 b Fx(\026)1077 1786 y Fu(1)1116 1771 y Fw(-me)-5 b(asur)g(e)34 b(in)h Fx(G)1725 1735 y Ft(\016)1725 1796 y(i)1763 1771 y Fw(.)150 1910 y(\(II\))1543 2147 y Fx(\026)1602 2162 y Fu(1)1658 1947 y Fn(0)1658 2126 y(@)1797 2053 y([)1745 2276 y Ft(G)1800 2253 y Fh(\016)1800 2298 y(i)1834 2276 y Fr(2G)1927 2253 y Fh(\016)1923 2300 y(b)1977 2147 y Fx(G)2054 2106 y Ft(\016)2054 2172 y(i)2092 1947 y Fn(1)2092 2126 y(A)2207 2147 y Fz(=)27 b Fx(o)p Fz(\()p Fx(\016)t Fz(\))p Fx(:)150 2470 y Fw(R)-5 b(emark:)150 2590 y Fz({)42 b(With)f(suitable)g(mo)s(di\014cations)f(of)h(the)i(pro) s(of)e(the)h(theorem)g(applies)f(to)g(all)f(su\016cien)m(t)j(p)s(oin)m (ts)150 2710 y Fx(x)28 b Fv(2)g Fx(@)5 b(M)487 2674 y Fr(\003)552 2710 y Fz(\(see)26 b([K-S-Sz\(1990\)]\),)e(ho)m(w)m(ev)m (er,)29 b(for)23 b(simplicit)m(y)f(here)j(w)m(e)g(restrict)f(ourselv)m (es)i(to)e(regular)150 2831 y(phase)34 b(p)s(oin)m(ts.)150 3113 y Fs(4.2)135 b(Pro)t(of)45 b(of)g(the)h(F)-11 b(undamen)l(tal)45 b(Theorem)150 3298 y Fz(Here)40 b(w)m(e)g(w)m(ould)f(lik)m(e)g(to)g (giv)m(e)g(a)g(sk)m(etc)m(h)i(of)e(the)h(pro)s(of)e(follo)m(wing)f ([K-S-Sz\(1990\)].)62 b(F)-8 b(or)38 b(brevit)m(y)150 3418 y(w)m(e)48 b(do)f(not)g(rep)s(eat)g(the)g(whole)g(argumen)m(t.)86 b(Our)47 b(aim)e(is)i(to)g(emphasize)g(the)g(main)e(ideas)i(on)150 3538 y(the)41 b(one)g(hand)g(and)f(p)s(oin)m(t)g(out)h(those)g(parts)g (where)h(the)f(original)c(pro)s(of)j(is)g(to)g(b)s(e)h(mo)s(di\014ed)e (on)150 3659 y(the)d(other)f(hand.)52 b(Sev)m(eral)36 b(argumen)m(ts)f(apply)g(w)m(ord)h(b)m(y)g(w)m(ord,)h(as)e(to)g(these,) i(w)m(e)g(do)e(not)g(giv)m(e)g(an)150 3779 y(exp)s(osition,)25 b(just)g(refer)f(to)g(the)h(original)c(pap)s(er.)41 b(Those)25 b(steps)h(that)e(need)h(non-trivial)d(mo)s(di\014cation)150 3900 y(are)33 b(emphasized)f(and)h(w)m(ork)m(ed)h(out)f(in)f(detail.) 296 4020 y(Throughout)26 b(the)f(section)g(w)m(e)h(think)e(of)h(the)g (su\016cien)m(t)h(p)s(oin)m(t)e Fx(x)k Fv(2)g Fx(@)5 b(M)2944 3984 y Fu(0)3010 4020 y Fz(and)25 b(its)f(neigh)m(b)s(orho)s (o)s(d)150 4140 y Fx(U)42 b Fz(as)33 b(b)s(eing)e(\014xed.)44 b Fx(y)35 b Fz(usually)c(denotes)i(some)f(p)s(oin)m(t)f(in)g Fx(U)10 b Fz(.)44 b(F)-8 b(urthermore,)31 b(a)h(su\016cien)m(tly)h (small)c Fx(\016)150 4261 y Fz(is)e(k)m(ept)h(\014xed)h(-)e(th)m(us)h (w)m(e)h(w)m(ork)f(with)f(one)h(particular)d(co)m(v)m(ering)j Fv(G)2603 4225 y Ft(\016)2641 4261 y Fz(.)42 b(Of)27 b(course,)i(for)e(ev)m(ery)i Fx(G)3637 4225 y Ft(\016)3637 4285 y(i)3703 4261 y Fv(2)f(G)3862 4225 y Ft(\016)150 4381 y Fz(w)m(e)38 b(ha)m(v)m(e)h(diam)o(\()p Fx(G)855 4345 y Ft(\016)855 4406 y(i)892 4381 y Fz(\))d Fv(\024)g Fx(m\016)42 b Fz(where)d Fx(m)d Fz(=)g(2)p Fx(d)24 b Fv(\000)i Fz(2)37 b(is)g(the)h(dimension)e(of)h(the)h(phase)g(space.)59 b(As)38 b(a)150 4502 y(preparation)32 b(for)g(the)h(main)e(argumen)m(t) h(w)m(e)h(state)g(t)m(w)m(o)h(imp)s(ortan)m(t)c(Lemmas:)150 4667 y Fp(Lemma)37 b(4.5.)49 b Fw(In)43 b(c)-5 b(orr)g(esp)g(ondenc)g (e)41 b(with)i(c)-5 b(ondition)42 b(4.2)h(let)g(us)g(denote)f(the)i (Lipschitz)e(c)-5 b(omp)g(o-)150 4787 y(nents)37 b(of)h Fv([)598 4803 y Fr(j)p Ft(n)p Fr(j\024)p Ft(N)802 4787 y Fv(R)886 4751 y Ft(n)971 4787 y Fw(with)g Fv(R)1270 4802 y Ft(i)1336 4787 y Fw(\()p Fx(i)33 b Fz(=)f(1)p Fx(;)17 b(:::;)g(K)7 b Fw(\),)38 b(r)-5 b(est)38 b(with)f Fv(R)2455 4751 y Fr(\003)2495 4787 y Fw(,)h(and)f(the)h(Lipschitz-c)-5 b(onstant)36 b(with)150 4908 y Fx(L)p Fw(.)45 b(Consider)34 b(the)h(set)311 5083 y Fz(\001)392 5098 y Ft(\016)o(;N)536 5083 y Fz(:=)28 b Fv(f)p Fx(x)35 b Fv(j)g(9)p Fx(i;)17 b(j)34 b Fv(\024)28 b Fx(K)r(;)33 b(;)17 b(i)28 b Fv(6)p Fz(=)f Fx(j;)52 b(\032)p Fz(\()p Fx(x;)17 b Fv(R)1924 5098 y Ft(i)1953 5083 y Fz(\))28 b Fv(\024)g Fx(\016)n(;)52 b(\032)p Fz(\()p Fx(x;)17 b Fv(R)2515 5098 y Ft(j)2552 5083 y Fz(\))28 b Fv(\024)g Fx(\016)t Fv(g)22 b([)h(f)p Fx(x)35 b Fv(j)f Fx(\032)p Fz(\()p Fx(x;)17 b Fv(R)3404 5042 y Fr(\003)3445 5083 y Fz(\))27 b Fv(\024)h Fx(\016)t Fv(g)p Fx(:)150 5259 y Fw(F)-7 b(or)34 b(al)5 b(l)34 b Fx(N)10 b Fw(:)1675 5379 y Fx(\026)1734 5394 y Fu(1)1773 5379 y Fz(\(\001)1892 5394 y Ft(\016)o(;N)2009 5379 y Fz(\))28 b(=)f Fx(o)p Fz(\()p Fx(\016)t Fz(\))p Fx(:)1976 5656 y Fz(17)p eop %%Page: 18 18 18 17 bop 296 407 a Fz(This)36 b(Lemma)e(pla)m(ys)h(essen)m(tially)g (the)h(role)e(of)h(Lemma)f(4.6)h(from)f([K-S-Sz\(1990\)].)51 b(Ho)m(w)m(ev)m(er,)150 527 y(the)31 b(pro)s(of)e(of)g(is)h(is)g(the)g (\014rst)h(p)s(oin)m(t)e(where)i(the)g(original)26 b(pro)s(of)k(of)f (the)i(fundamen)m(tal)e(theorem)h(had)150 648 y(to)i(b)s(e)h(mo)s (di\014ed.)150 830 y Fw(Pr)-5 b(o)g(of.)48 b Fz(Fix)32 b(an)h(index)f Fx(i)h Fz(and)g(\014nd)g(a)f(co)s(ordinate)g(system)i (so)e(that)1475 1007 y Fv(R)1559 1022 y Ft(i)1615 1007 y Fz(=)c Fv(f)p Fz(\()p Fx(x;)17 b(f)1954 1022 y Ft(i)1982 1007 y Fz(\()p Fx(x)p Fz(\)\))p Fv(j)33 b Fx(x)28 b Fv(2)g Fx(D)2470 1022 y Ft(i)2498 1007 y Fv(g)p Fx(:)150 1183 y Fz(where)k Fx(D)511 1198 y Ft(i)567 1183 y Fv(\032)c Fq(R)738 1147 y Ft(m)p Fr(\000)p Fu(1)901 1183 y Fz(.)42 b Fx(\031)1025 1198 y Ft(i)1085 1183 y Fz(shall)29 b(denote)i(the)h (usual)e(pro)5 b(jection)31 b(on)m(to)f Fq(R)2788 1147 y Ft(m)q Fr(\000)p Fu(1)2951 1183 y Fz(:)42 b Fx(\031)3075 1198 y Ft(i)3104 1183 y Fz(\(\()p Fx(x;)17 b(y)t Fz(\)\))27 b(:=)g Fx(x)p Fz(,)32 b(when)150 1304 y Fx(x)j Fv(2)h Fq(R)408 1267 y Ft(m)p Fr(\000)p Fu(1)607 1304 y Fz(and)h Fx(y)i Fv(2)c Fq(R)5 b Fz(.)62 b(Ob)m(viously)37 b Fx(@)5 b(D)1744 1319 y Ft(i)1808 1304 y Fz(=)35 b Fx(\031)1974 1319 y Ft(i)2003 1304 y Fz(\()p Fx(@)5 b Fv(R)2181 1319 y Ft(i)2210 1304 y Fz(\),)38 b(so)f Fv(L)2506 1267 y Ft(m)2589 1223 y Fn(\000)2635 1304 y Fz(\()p Fx(@)5 b Fv(R)2813 1319 y Ft(i)2842 1304 y Fz(\))2880 1267 y Fu([)p 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Fr(\000)p Fu(1)2515 1674 y Fz(-measure)f(smaller)e(than)j Fx(\021)t Fz(.)51 b(Let)35 b(us)150 1794 y(denote)e(this)g(op)s(en)f (neigh)m(b)s(orho)s(o)s(d)g(b)m(y)h Fx(D)1722 1758 y Ft(i)1719 1819 y(\021)1794 1794 y Fz(and)f(furthermore)1436 1981 y(\001)1517 1940 y Ft(i)1517 2006 y(\021)1587 1981 y Fz(=)1690 1900 y Fn(\010)1748 1981 y Fz(\()p Fx(x;)17 b(g)1932 1996 y Ft(i)1960 1981 y Fz(\()p Fx(x)p Fz(\)\))28 b Fv(j)f Fx(x)i Fv(2)f Fx(D)2474 1940 y Ft(i)2471 2006 y(\021)2513 1900 y Fn(\011)2587 1981 y Fx(:)296 2157 y Fz(No)m(w)c(consider)f(the)g(parts)g(of)g(the)g(singularit)m(y)e(far) h(a)m(w)m(a)m(y)j(from)c(the)i(b)s(orders)h(of)e(the)h(singularities.) 150 2278 y(F)-8 b(or)42 b(di\013eren)m(t)g Fx(i)p Fz(-s)h(the)g(sets)g Fv(R)1338 2293 y Ft(i)1396 2278 y Fv(n)28 b Fz(\001)1555 2242 y Ft(i)1555 2302 y(\021)1631 2278 y Fz(\()p Fx(i)45 b Fz(=)f(1)p Fx(;)17 b(:::;)g(K)7 b Fz(\))42 b(are)g(pairwise)g (disjoin)m(t)f(compact)h(sets)i(\(as)150 2398 y(they)35 b(are)f(con)m(tin)m(uous)h(images)d(of)i(compact)f(sets\).)49 b(Consequen)m(tly)-8 b(,)37 b(for)c Fx(\016)38 b Fz(small)32 b(enough)i(the)h(sets)150 2519 y(\()p Fv(R)272 2534 y Ft(i)325 2519 y Fv(n)24 b Fz(\001)480 2482 y Ft(i)480 2543 y(\021)522 2519 y Fz(\))560 2482 y Fu([)p Ft(\016)r Fu(])673 2519 y Fz(are)36 b(pairwise)f(disjoin)m(t)f(as)i(w)m(ell.)52 b(No)m(w)37 b(for)e(the)h(set)g(men)m(tioned)g(in)f(the)h(Lemma,)f(w)m (e)150 2639 y(can)e(write:)1587 2759 y(\001)1668 2774 y Ft(\016)o(;N)1812 2759 y Fv(\032)28 b Fz(\001)1998 2718 y Fu([)p Ft(\016)r Fu(])1998 2784 y Ft(\021)2098 2759 y Fv([)23 b Fz(\()p Fv(R)2309 2718 y Fr(\003)2348 2759 y Fz(\))2386 2718 y Fu([)p Ft(\016)r Fu(])150 2990 y Fz(where)34 b(\001)513 3005 y Ft(\021)583 2990 y Fz(=)711 2896 y Ft(K)702 2916 y Fn(S)686 3076 y Ft(i)p Fu(=1)817 2990 y Fz(\001)898 2954 y Ft(i)898 3015 y(\021)940 2990 y Fz(.)296 3163 y(No)m(w)f(apply)g(Lemma)e(3.8)h(to)g(get)1317 3340 y Fv(L)1386 3299 y Ft(m)1453 3340 y Fz(\(\(\001)1610 3299 y Ft(i)1610 3364 y(\021)1652 3340 y Fz(\))1690 3299 y Fu([)p Ft(\016)r Fu(])1767 3340 y Fz(\))27 b Fv(\024)i Fz(2)1987 3253 y Fv(p)p 2069 3253 275 4 v 2069 3340 a Fx(L)2135 3311 y Fu(2)2197 3340 y Fz(+)22 b(1)p Fx(\016)t(\021)k Fz(+)c Fx(o)p Fz(\()p Fx(\016)t Fz(\))150 3516 y(This)33 b(means)f(that)1331 3637 y Fv(L)1400 3596 y Ft(m)1467 3637 y Fz(\(\001)1586 3596 y Fu([)p Ft(\016)r Fu(])1586 3661 y Ft(\021)1663 3637 y Fz(\))27 b Fv(\024)i Fz(2)p Fx(K)1973 3550 y Fv(p)p 2056 3550 V 87 x Fx(L)2122 3608 y Fu(2)2183 3637 y Fz(+)22 b(1)p Fx(\016)t(\021)k Fz(+)c Fx(o)p Fz(\()p Fx(\016)t Fz(\))150 3819 y(stand)34 b(for)f(ev)m(ery)i Fx(\021)t Fz(,)e(meaning)f(that)h Fv(L)1609 3782 y Ft(m)1675 3819 y Fz(\(\001)1794 3768 y Fu([)p Ft(\016)r Fu(])1794 3829 y Ft(\021)1871 3819 y Fz(\))c(=)g Fx(o)p Fz(\()p Fx(\016)t Fz(\).)45 b(T)-8 b(ogether)34 b(with)f Fv(L)2987 3782 y Ft(m)3053 3819 y Fz(\(\()p Fv(R)3213 3782 y Fr(\003)3253 3819 y Fz(\))3291 3782 y Fu([)p Ft(\016)r Fu(])3368 3819 y Fz(\))c(=)f Fx(o)p Fz(\()p Fx(\016)t Fz(\))33 b(this)150 3939 y(giv)m(es)g(the)g(statemen)m(t)g(of)f(the)h(lemma.)p 3829 3939 4 66 v 3833 3876 59 4 v 3833 3939 V 3891 3939 4 66 v 296 4159 a(Before)40 b(form)m(ulating)d(the)i(other)h(k)m(ey)h (Lemma)d(w)m(e)i(w)m(ould)g(lik)m(e)e(to)i(note)f(that)g({)h(b)m(y)g (our)f(con-)150 4279 y(struction)34 b({)f(in)g(the)i(in)m(teriour)d(p)s (oin)m(ts)i(of)f(singularit)m(y)g(comp)s(onen)m(ts)h(\(i.e.)47 b(in)33 b(those)i(p)s(oin)m(ts)40 b(^)-56 b Fx(y)37 b Fz(that)150 4400 y(are)42 b(elemen)m(ts)g(of)g(one)g(particular)e(op)s (en)i(lo)s(cally)d(Lipsc)m(hitz)j(graph)2799 4375 y(^)2773 4400 y Fv(R)p Fz(\))g(it)f(mak)m(es)h(sense)i(to)e(talk)150 4520 y(ab)s(out)32 b(their)g(\(one-co)s(dimensional\))e(tangen)m(t)j (planes)f Fv(T)2261 4535 y Fu(^)-40 b Ft(y)2324 4495 y Fz(^)2298 4520 y Fv(R)p Fz(.)150 4686 y Fp(Lemma)37 b(4.6.)49 b Fw(Given)40 b(any)f Fx(x)e Fv(2)g Fx(@)5 b(M)1606 4650 y Fu(0)1687 4686 y Fw(and)39 b(any)h Fx(\017)d(>)f Fz(0)j Fw(ther)-5 b(e)40 b(is)f(a)h(neighb)-5 b(orho)g(o)g(d)38 b Fx(U)10 b Fz(\()p Fx(x)p Fz(\))37 b Fv(\032)g Fx(@)5 b(M)150 4807 y Fw(of)38 b Fx(x)h Fw(such)f(that)h(for)f(every)g Fx(\015)1266 4770 y Ft(s)1261 4831 y Fu(1)1303 4807 y Fx(;)17 b(\015)1403 4770 y Ft(s)1398 4831 y Fu(2)1477 4807 y Fw(and)38 b(any)g Fz(\(2)p Fx(d)25 b Fv(\000)g Fz(3\))p Fw(-dimensional)36 b(Lipschitz)h(c)-5 b(omp)g(onent)3724 4781 y Fz(^)3698 4807 y Fv(R)38 b Fw(of)150 4927 y(some)30 b Fv(R)479 4891 y Ft(n)558 4927 y Fz(\()p Fx(n)e(>)f Fz(0\))k Fw(interse)-5 b(cting)31 b Fx(U)10 b Fz(\()p Fx(x)p Fz(\))32 b Fw(with)f(p)-5 b(oints)30 b Fx(y)2201 4942 y Fu(1)2240 4927 y Fx(;)17 b(y)2332 4942 y Fu(2)2402 4927 y Fw(and)37 b Fz(^)-55 b Fx(y)s Fw(,)32 b(lying)f(on)f(the)i(thr) -5 b(e)g(e)31 b(manifolds,)150 5047 y(r)-5 b(esp)g(e)g(ctively:)1546 5224 y Fd(^)p Fz(\()p Fv(T)1710 5239 y Ft(y)1745 5248 y Fo(1)1784 5224 y Fx(\015)1840 5183 y Ft(s)1835 5249 y Fu(1)1877 5224 y Fx(;)17 b Fv(T)1975 5239 y Ft(y)2010 5248 y Fo(2)2048 5224 y Fx(\015)2104 5183 y Ft(s)2099 5249 y Fu(2)2141 5224 y Fz(\))83 b Fx(<)g(\017;)1587 5379 y Fd(^)p Fz(\()p Fv(T)1751 5394 y Ft(y)1786 5403 y Fo(1)1824 5379 y Fx(\015)1880 5338 y Ft(s)1875 5404 y Fu(1)1917 5379 y Fx(;)17 b Fv(T)2020 5394 y Fu(^)-40 b Ft(y)2083 5354 y Fz(^)2057 5379 y Fv(R)p Fz(\))83 b Fx(<)g(\017:)1212 b Fz(\(4.1\))1976 5656 y(18)p eop %%Page: 19 19 19 18 bop 296 407 a Fz(This)27 b(Lemma)e(is)g(on)i(the)f (parallelization)c(e\013ect)27 b(and)g(it)e(is)h(exactly)h(the)f(same)g (as)h(Lemma)e(4.9)h(in)150 527 y([K-S-Sz\(1990\)]{)34 b(the)i(original)c(argumen)m(t)j(applies.)52 b(Nev)m(ertheless)38 b(it)c(migh)m(t)g(b)s(e)i(useful)g(to)f(p)s(oin)m(t)150 648 y(out)g(what)h(the)g(second)h(inequalit)m(y)e(in)g(\(4.1\))g (means:)49 b(there)37 b(is)e(a)g(\()p Fx(d)24 b Fv(\000)h Fz(1\)-dimensional)32 b(subspace)150 768 y(of)j(the)h(tangen)m(t)g (space)h(at)e(an)m(y)i(p)s(oin)m(t)e(of)g(the)h(\(2)p Fx(d)23 b Fv(\000)i Fz(3\)-dimensional)33 b(manifold)3266 743 y(^)3239 768 y Fv(R)j Fz(v)m(ery)i(close)d(to)150 888 y(the)42 b(stable)e(subspace.)71 b(Note,)44 b(ho)m(w)m(ev)m(er,)i (that)2020 863 y(^)1993 888 y Fv(R)c Fz(ma)m(y)f(b)s(eha)m(v)m(e)h (extremely)g(widely)f({)f(i.e.)69 b(in)40 b(a)150 1009 y(non-smo)s(oth)31 b(manner)i({)f(in)g(the)h(remaining)d(\()p Fx(d)22 b Fv(\000)g Fz(2\))33 b(dimensions)e(\(in)h(case)h Fx(d)28 b Fv(\025)g Fz(3\).)296 1171 y(Before)36 b(the)f(pro)s(of)f(w)m (e)j(should)e(in)m(tro)s(duce)g(some)g(more)f(notation.)50 b(The)36 b(follo)m(wing)c(t)m(w)m(o)k(quan-)150 1292 y(tities)31 b(measure)i(the)g(h)m(yp)s(erb)s(olicit)m(y)f(near)h(the)g (p)s(oin)m(t)f Fx(y)e Fv(2)e Fx(@)5 b(M)2505 1256 y Fu(0)2547 1292 y Fz(.)43 b(Let)1378 1486 y Fx(\024)1434 1501 y Ft(n;)p Fu(0)1536 1486 y Fz(\()p Fx(y)t Fz(\))26 b(=)i(inf)1828 1548 y Fu(\006)1929 1486 y Fv(jj)p Fz(\()p Fx(D)2107 1445 y Ft(n)2104 1510 y Fr(\000)p Ft(T)2210 1492 y Fh(n)2251 1510 y Ft(y)r(;)p Fu(\006)2363 1486 y Fz(\))2401 1445 y Fr(\000)p Fu(1)2495 1486 y Fv(jj)2551 1445 y Fr(\000)p 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Ft(\016)2046 2266 y Fz(\()p Fv(\000)p Fx(y)t Fz(\).)150 2447 y Fp(Remark)37 b(4.7.)49 b Fz(\(cf.)66 b(Lemma)38 b(5.3)i(in)f([K-S-Sz\(1990\)]and)g (Lemma)f(2.2)i(in)f(the)h(presen)m(t)i(pap)s(er\))150 2568 y Fw(It)j(is)f(not)h(di\016cult)g(to)g(se)-5 b(e)44 b(that)h Fx(\024)1487 2583 y Ft(n;\016)1588 2568 y Fz(\()p Fx(y)t Fz(\))f Fw(is)g(an)h(incr)-5 b(e)g(asing)43 b(function)i(of)f Fx(n)p Fw(.)75 b(F)-7 b(urthermor)i(e,)46 b(for)150 2688 y(su\016cient)35 b(p)-5 b(oints)34 b Fx(y)k Fw(cle)-5 b(arly:)1677 2809 y Fz(lim)1653 2868 y Ft(n)p Fr(!1)1854 2809 y Fx(\024)1910 2824 y Ft(n;)p Fu(0)2012 2809 y Fz(\()p Fx(y)t Fz(\))26 b(=)i Fv(1)p Fx(:)296 3016 y Fz(The)34 b(follo)m(wing)c(subsets)k(of)e(the)h(neigh)m(b)s(orho)s(o)s(d)f Fx(U)38 b Fv(3)28 b Fx(x)33 b Fz(dep)s(end)h(on)e(the)h(constan)m(t)h Fx(\016)t Fz(.)769 3210 y Fx(U)845 3169 y Ft(g)969 3210 y Fz(:=)83 b Fv(f)p Fx(y)31 b Fv(2)d Fx(U)43 b Fv(j)32 b(8)p Fx(n)c Fv(2)g Fq(Z)1851 3225 y Fu(+)1908 3210 y Fx(;)49 b(\032)p Fz(\()p 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b(oundary)150 3815 y(of)40 b Fx(B)344 3830 y Ft(c)375 3839 y Fo(3)409 3830 y Ft(\016)447 3815 y Fz(\()p Fx(y)t Fz(\))p Fw(,)h(the)f(b)-5 b(al)5 b(l)40 b(of)g(r)-5 b(adius)40 b Fx(c)1458 3830 y Fu(3)1498 3815 y Fx(\016)k Fw(ar)-5 b(ound)40 b Fx(y)k Fw(\(cf.)60 b(L)-5 b(emma)40 b(5.4)g(fr)-5 b(om)40 b([K-S-Sz\(1990\)]\).)59 b(The)150 3936 y(c)-5 b(onstant)36 b Fx(c)582 3951 y Fu(3)658 3936 y Fw(wil)5 b(l)37 b(b)-5 b(e)36 b(chosen)g(in)g(an)g (appr)-5 b(opriate)36 b(way)h(to)g(guar)-5 b(ante)g(e)36 b(that)h(for)g(any)f Fx(y)f Fv(2)c Fx(U)3631 3900 y Ft(g)3695 3936 y Fv(\\)24 b Fx(G)3862 3900 y Ft(\016)3862 3960 y(i)150 4056 y Fw(the)35 b(stable)f(le)-5 b(af)35 b Fx(\015)819 4020 y Ft(s)856 4056 y Fz(\()p Fx(y)t Fz(\))e Fw(interse)-5 b(cts)35 b Fx(G)1529 4020 y Ft(\016)1529 4081 y(i)1602 4056 y Fw(c)-5 b(orr)g(e)g(ctly)35 b(unless)f(it)h(interse)-5 b(cts)35 b Fx(@)2872 4020 y Ft(s)2910 4056 y Fx(G)2987 4020 y Ft(\016)2987 4081 y(i)3024 4056 y Fw(.)296 4237 y Fz(F)-8 b(urthermore,)32 b(w)m(e)i(in)m(tro)s(duce)f(the)g(class)f (of)g(p)s(ermitted)g(functions.)150 4418 y Fp(De\014nition)k(4.9.)49 b Fw(A)c(function)f Fx(F)59 b Fz(:)45 b Fq(R)1666 4433 y Fu(+)1776 4418 y Fv(!)g Fq(Z)1990 4433 y Fu(+)2091 4418 y Fw(de\014ne)-5 b(d)43 b(in)h(a)g(neighb)-5 b(orho)g(o)g(d)42 b(of)i(the)h(origin)e(is)150 4539 y(p)-5 b(ermitte)g(d)36 b(whenever)f Fx(F)14 b Fz(\()p Fx(\016)t Fz(\))29 b Fv(\045)g(1)36 b Fw(as)g Fx(\016)e Fv(&)29 b Fz(0)p Fw(.)48 b(F)-7 b(or)35 b(a)h(\014xe)-5 b(d)35 b(p)-5 b(ermitte)g(d)36 b(function)g Fx(F)14 b Fz(\()p Fx(\016)t Fz(\))35 b Fw(we)h(de\014ne)150 4659 y Fx(U)226 4623 y Ft(b)216 4684 y(!)294 4659 y Fz(=)28 b Fv([)464 4674 y Ft(n>F)10 b Fu(\()p Ft(\016)r Fu(\))709 4659 y Fx(U)785 4623 y Ft(b)775 4684 y(n)822 4659 y Fw(.)296 4840 y Fz(Most)35 b(of)e(the)h(statemen)m(ts)h(to)f(come)f(hold)g(for)h (an)m(y)g(p)s(ermitted)f(function)h Fx(F)14 b Fz(\()p Fx(\016)t Fz(\).)46 b(A)m(t)35 b(one)f(p)s(oin)m(t)150 4960 y(of)e(the)h(argumen)m(t)f(w)m(e)i(shall)d(\014x)i(one)g (particular)e Fx(F)14 b Fz(\()p Fx(\016)t Fz(\).)150 5142 y Fp(Lemma)37 b(4.10.)49 b Fz(\()p Fp(T)-9 b(ail)31 b(b)s(ound)p Fz(;)f(Lemma)d(6.1)h(from)e([K-S-Sz\(1990\)]\))p Fw(.)43 b(F)-7 b(or)29 b(any)i(p)-5 b(ermitte)g(d)30 b(func-)150 5262 y(tion:)1716 5382 y Fx(\026)1775 5397 y Fu(1)1814 5382 y Fz(\()p Fx(U)1928 5341 y Ft(b)1918 5407 y(!)1968 5382 y Fz(\))e(=)g Fx(o)p Fz(\()p Fx(\016)t Fz(\))p Fx(:)1976 5656 y Fz(19)p eop %%Page: 20 20 20 19 bop 296 407 a Fz(The)41 b(measure)f(estimates)g(in)f(the)h(pro)s (of)f(of)g(the)i(T)-8 b(ail)38 b(Bound)i(are)g(related)f(to)h Fv(R)p Fz(,)i(the)e(set)g(of)150 527 y(singular)g(re\015ections.)69 b(As)42 b(already)e(men)m(tioned,)j(this)e(set)h(\(in)e(con)m(trast)h (to)g(the)h(higher)e(iterates)150 648 y Fv(R)234 611 y Ft(n)281 648 y Fz(\))h(is)g(a)g(\014nite)f(collection)f(of)i(smo)s (oth)f(and)h(compact)g(1-co)s(dimensional)c(submanifolds)j(of)h(the)150 768 y(phase)e(space.)59 b(Consequen)m(tly)-8 b(,)41 b(there)e(is)e(no)g (need)i(for)e(Lipsc)m(hitz)h(decomp)s(osition)d(here,)40 b(th)m(us)f(w)m(e)150 888 y(do)33 b(not)h(include)e(the)i(pro)s(of.)45 b(Essen)m(tially)-8 b(,)34 b(the)g(original)c(argumen)m(t)j(from)f ([K-S-Sz\(1990\)]applies,)150 1009 y(nev)m(ertheless,)38 b(at)d(the)h(de\014nition)e(of)h(the)g(small)e(set)j(of)f (non-su\016cien)m(t)h(p)s(oin)m(ts)f(a)f(little)f(more)i(care)150 1129 y(is)44 b(needed.)82 b(W)-8 b(e)45 b(w)m(ould)g(also)e(lik)m(e)h (to)h(emphasize)f(that)h(the)g(pro)s(of)f(of)g(the)h(T)-8 b(ail)43 b(Bound)i(is)g(the)150 1249 y(p)s(oin)m(t)32 b(where)h(the)g(Cherno)m(v-Sinai)f(Ansatz)h(\(Condition)e(4.1\))h(is)g (exploited.)43 b(On)32 b(more)g(details)f(see)150 1370 y([K-S-Sz\(1990\)].)296 1490 y(No)m(w)44 b(w)m(e)g(can)f(start)g(pro)m (ving)f(the)i(fundamen)m(tal)e(theorem)g(b)m(y)i(telling)d(explicitely) g(ho)m(w)j(the)150 1611 y(collection)27 b(of)h(parallelepip)s(eds)f Fv(G)1413 1574 y Ft(\016)1480 1611 y Fz(is)h(divided)h(in)m(to)f(a)g (go)s(o)s(d)g(and)h(a)f(bad)h(part.)43 b(W)-8 b(e)29 b(sa)m(y)h Fx(G)3525 1574 y Ft(\016)3525 1635 y(i)3590 1611 y Fv(2)e(G)3749 1574 y Ft(\016)3743 1637 y(b)3816 1611 y Fz(i\013)150 1754 y(\(A\))33 b(either)295 1949 y Fv(\017)49 b Fz(it)31 b(in)m(tersects)j(more)e(than)h(one)g(Lipsc)m (hitz)f(comp)s(onen)m(t)h(of)f(the)h(singularities)d(of)i Fx(T)3493 1913 y Ft(F)10 b Fu(\()p Ft(\016)r Fu(\))3640 1949 y Fz(,)295 2150 y Fv(\017)49 b Fz(or)32 b(it)g(in)m(tersects)i (only)e(one)g(comp)s(onen)m(t)1960 2125 y(^)1934 2150 y Fv(R)q Fz(,)g(but)h Fx(\032)p Fz(\()p Fx(G)2422 2114 y Ft(\016)2422 2175 y(i)2460 2150 y Fx(;)17 b(@)2587 2125 y Fz(^)2560 2150 y Fv(R)q Fz(\))28 b Fv(\024)g Fx(\016)t Fz(,)295 2350 y Fv(\017)49 b Fz(or)32 b(it)g(in)m(tersects)i(the)f (remaining)d(small)g(set)j Fv(R)2157 2314 y Fr(\003)2197 2350 y Fz(.)150 2569 y(\(B\))f(or)h(it)e(is)h(not)h(of)f(t)m(yp)s(e)h (\(A\),)g(but)g(it)e(has)i(an)g Fx(s)p Fz(-face)f Fx(E)2295 2533 y Ft(s)2364 2569 y Fz(suc)m(h)i(that)1268 2802 y Fx(\026)1327 2817 y Fu(1)1366 2802 y Fz(\()p Fx(G)1481 2761 y Ft(\016)1481 2827 y(i)1541 2802 y Fv(\\)23 b Fz(\()p Fx(E)1746 2761 y Ft(s)1783 2802 y Fz(\))1821 2761 y Fu([)p Ft(\017)1870 2770 y Fo(1)1903 2761 y Ft(\016)r Fu(])1983 2802 y Fv(\\)f Fx(U)2137 2817 y Ft(ic)2196 2802 y Fz(\))28 b Fv(\024)2377 2735 y Fx(\017)2416 2750 y Fu(3)p 2377 2779 79 4 v 2392 2870 a Fz(4)2466 2802 y Fx(\026)2525 2817 y Fu(1)2564 2802 y Fz(\()p Fx(G)2679 2761 y Ft(\016)2679 2827 y(i)2717 2802 y Fz(\))p Fx(;)917 b Fz(\(4.3\))150 3051 y(where)33 b Fx(\017)470 3066 y Fu(3)542 3051 y Fz(is)e(a)h(p)s(ositiv)m(e)f(constan)m(t)i(to)e(b)s(e)h(de\014ned)i (later)d(and)h Fx(U)2541 3066 y Ft(ic)2631 3051 y Fz(is)g(the)g(set)h (of)e(p)s(oin)m(ts)h(in)f Fx(G)3641 3014 y Ft(\016)3641 3075 y(i)3710 3051 y Fz(with)150 3171 y(correctly)i(in)m(tersecting)f (lo)s(cal)f(stable)h(manifolds.)296 3338 y(No)m(w)d(w)m(e)g(c)m(ho)s (ose)g(one)f(particular)e(p)s(ermitted)h(function)g Fx(F)14 b Fz(\()p Fx(\016)t Fz(\):)41 b(b)m(y)29 b(virtue)f(of)f(Lemma)g(4.5)g (there)150 3459 y(de\014nitely)32 b(exists)i(a)e(p)s(ermitted)g (function)g(suc)m(h)i(that:)1531 3669 y Fx(\026)1590 3684 y Fu(1)1629 3669 y Fz(\(\001)1748 3684 y Fu(\()p Ft(m)p Fu(+1\))p Ft(\016)o(;F)10 b Fu(\()p Ft(\016)r Fu(\))2153 3669 y Fz(\))27 b(=)h Fx(o)p Fz(\()p Fx(\016)t Fz(\))p Fx(:)1180 b Fz(\(4.4\))150 3879 y(As)41 b(a)f(consequence)k (the)d(o)m(v)m(erall)e(measure)i(of)f(bad)h(parallelepip)s(eds)d(of)i (t)m(yp)s(e)i(\(A\))e(is)g Fx(o)p Fz(\()p Fx(\016)t Fz(\))h(\(suc)m(h) 150 3999 y(parallelepip)s(eds)30 b(lie)h(inside)h(the)h(set)h(\001)1623 4015 y Fu(\()p Ft(m)p Fu(+1\))p Ft(\016)o(;F)10 b Fu(\()p Ft(\016)r Fu(\))2027 3999 y Fz(\).)296 4120 y(It)29 b(is)g(time)f(to)h (tell)e(ab)s(out)i(the)g(c)m(hoice)h(of)e(our)h(small)e(constan)m(ts)j Fx(\017)2715 4135 y Ft(i)2773 4120 y Fz(as)f(w)m(ell.)42 b(In)29 b(the)h(form)m(ulation)150 4240 y(of)k(the)g(F)-8 b(undamen)m(tal)33 b(Theorem)h(one)h(particular)d(constan)m(t)j Fx(\017)2502 4255 y Fu(1)2576 4240 y Fz(is)f(giv)m(en.)48 b(W)-8 b(e)35 b(shall)d(c)m(ho)s(ose)j(three)150 4360 y(further)c(constan)m(ts)g(in)f(the)h(follo)m(wing)d(order:)42 b Fx(\017)1923 4375 y Fu(1)1991 4360 y Fv(!)27 b Fx(\017)2157 4375 y Fu(3)2225 4360 y Fv(!)g Fx(\017)2391 4375 y Fu(4)2458 4360 y Fv(!)h Fx(\017)2625 4375 y Fu(2)2665 4360 y Fz(.)42 b(It)31 b(is)f(utmost)g(imp)s(ortan)m(t)e(that)150 4481 y(all)i(of)i(these)i(c)m(hoices)f(are)f(indep)s(enden)m(t)i(of)e Fx(\016)t Fz(.)43 b(\(they)33 b(are)g(c)m(hosen)g(in)f(the)h(argumen)m (ts)f(b)s(elo)m(w,)h Fx(\017)3747 4496 y Fu(3)3819 4481 y Fz(in)150 4601 y(1.,)d Fx(\017)322 4616 y Fu(4)392 4601 y Fz(in)f(2.)42 b(and)30 b Fx(\017)847 4616 y Fu(2)916 4601 y Fz(in)f(3.\).)42 b(After)30 b(all)e(these)j(c)m(hoices)f(are)g (made)f(w)m(e)i(\014x)f(the)h(neigh)m(b)s(orho)s(o)s(d)d Fx(U)3701 4616 y Ft(\017)3730 4625 y Fo(1)3769 4601 y Fz(\()p Fx(x)p Fz(\))150 4721 y(\(see)37 b(the)g(form)m(ulation)c(of)j (the)g(F)-8 b(undamen)m(tal)35 b(Theorem\))h(in)g(suc)m(h)h(a)f(w)m(a)m (y)i(that)d(for)h(all)e(Lipsc)m(hitz)150 4842 y(comp)s(onen)m(ts)713 4817 y(^)687 4842 y Fv(R)f Fz(of)f(some)h Fv(R)1244 4806 y Ft(n)1323 4842 y Fz(\()p Fx(n)28 b(>)g Fz(0\))k(that)g(in)m(tersect)i Fx(U)2341 4857 y Ft(\017)2370 4866 y Fo(1)2408 4842 y Fz(\()p Fx(x)p Fz(\):)1654 5052 y Fd(^)p Fz(\()p Fx(\015)1820 5011 y Ft(s)1815 5076 y Fu(1)1857 5052 y Fx(;)17 b(\015)1957 5011 y Ft(s)1952 5076 y Fu(2)1993 5052 y Fz(\))83 b Fx(<)g(\017)2312 5067 y Fu(2)2352 5052 y Fx(;)1663 5197 y Fd(^)p Fz(\()p Fx(\015)1829 5156 y Ft(s)1824 5222 y Fu(1)1865 5197 y Fx(;)1935 5172 y Fz(^)1909 5197 y Fv(R)p Fz(\))g Fx(<)g(\017)2312 5212 y Fu(2)2352 5197 y Fx(:)1320 b Fz(\(4.5\))150 5407 y(Suc)m(h)34 b(a)e(c)m(hoice)h(is)f(clearly)g(p)s(ossible)g(b)m(y)h (virtue)g(of)f(Lemma)f(4.6.)1976 5656 y(20)p eop %%Page: 21 21 21 20 bop 296 407 a Fz(One)25 b(more)f(remark:)40 b(ha)m(ving)24 b(\014xed)i(the)f(neigh)m(b)s(orho)s(o)s(d)f Fx(U)2463 422 y Ft(\017)2492 431 y Fo(1)2530 407 y Fz(\()p Fx(x)p Fz(\))h(and)g(the)g(foliation)d(\000)i(uniformly)150 527 y(transv)m(ersal)32 b(to)f(the)h(stable)f(foliation,)e(it)h(is)h(p) s(ossible)g(to)g(uniformly)e(compare)i(t)m(w)m(o)h(di\013eren)m(t)g (mea-)150 648 y(sures)37 b(for)e(eac)m(h)h(pro)s(duct-t)m(yp)s(e)g(set) g(inside)f Fx(U)1861 663 y Ft(\017)1890 672 y Fo(1)1929 648 y Fz(\()p Fx(x)p Fz(\).)52 b(More)36 b(precisely)f(there)i(is)d(a)i (constan)m(t)g Fx(c)3671 663 y Fu(4)3743 648 y Fx(>)c Fz(0)150 768 y(suc)m(h)39 b(that)e(giv)m(en)h(an)m(y)h(pro)s(duct-t)m (yp)s(e)f(set,)i(the)e(ratio)e(of)h(its)g Fx(\026)2544 783 y Fu(1)2583 768 y Fz(-measure)g(and)h(its)f(measure)h(that)150 888 y(arises)33 b(as)f(a)h(pro)s(duct)g(of)f(measures)h(in)f(the)h Fx(s)p Fv(\000)g Fz(and)f(\000)p Fv(\000)p Fz(directions)h(lies)e(b)s (et)m(w)m(een)k Fx(c)3311 847 y Fr(\000)p Fu(1)3311 913 y(4)3438 888 y Fz(and)e Fx(c)3670 903 y Fu(4)3709 888 y Fz(.)296 1051 y(>F)-8 b(rom)34 b(no)m(w)i(on)f Fx(G)1022 1015 y Ft(\016)1022 1076 y(i)1095 1051 y Fz(will)e(alw)m(a)m(ys)i (denote)h(a)f(bad)h(parallelepip)s(ed)c(of)j(t)m(yp)s(e)h(\(B\).)f(The) h(pro)s(of)e(of)150 1172 y(the)f(F)-8 b(undamen)m(tal)31 b(Theorem)i(follo)m(ws)f(from)f(the)i(small)d(argumen)m(ts)j(to)f (come.)269 1371 y(1.)49 b(Let)27 b(us)h(\014rst)f(giv)m(e)g(an)g (estimate)f(from)g(b)s(elo)m(w)h(on)g(the)g(measure)g(of)g Fx(G)2933 1335 y Ft(\016)2933 1396 y(i)2981 1371 y Fv(\\)11 b Fz(\()p Fx(E)3174 1335 y Ft(s)3211 1371 y Fz(\))3249 1335 y Fu([)p Ft(\017)3298 1344 y Fo(1)3332 1335 y Ft(\016)r Fu(])3416 1371 y Fz(where)29 b Fx(E)3771 1335 y Ft(s)3834 1371 y Fz(is)394 1492 y(an)e(s-face)h(for)f(the)h(bad)g(parallelepip)s (ed)d Fx(G)1978 1456 y Ft(\016)1978 1516 y(i)2016 1492 y Fz(.)42 b(By)28 b(the)g(ab)s(o)m(v)m(e)g(remark)g(on)f(pro)s(duct)h (measures:)692 1687 y Fx(\026)751 1702 y Fu(1)790 1687 y Fz(\()p Fx(G)905 1645 y Ft(\016)905 1711 y(i)965 1687 y Fv(\\)22 b Fz(\()p Fx(E)1169 1645 y Ft(s)1206 1687 y Fz(\))1244 1645 y Fu([)p Ft(\017)1293 1654 y Fo(1)1327 1645 y Ft(\016)r Fu(])1384 1687 y Fz(\))28 b Fv(\025)g Fx(c)1597 1645 y Fr(\000)p Fu(1)1597 1711 y(4)1691 1687 y Fz(\()p Fx(\017)1768 1702 y Fu(1)1808 1687 y Fx(\016)t Fz(\))1893 1645 y Ft(d)p Fr(\000)p Fu(1)2023 1687 y Fx(\016)2070 1645 y Ft(d)p Fr(\000)p Fu(1)2229 1687 y Fv(\025)g Fx(c)2376 1702 y Fu(6)2415 1687 y Fx(\017)2454 1645 y Ft(d)p Fr(\000)p Fu(1)2454 1711 y(1)2585 1687 y Fx(\026)2644 1702 y Fu(1)2683 1687 y Fz(\()p Fx(G)2798 1645 y Ft(\016)2798 1711 y(i)2836 1687 y Fz(\))g Fv(\025)g Fx(\017)3046 1702 y Fu(3)3086 1687 y Fx(\026)3145 1702 y Fu(1)3184 1687 y Fz(\()p Fx(G)3299 1645 y Ft(\016)3299 1711 y(i)3337 1687 y Fz(\))p Fx(;)297 b Fz(\(4.6\))394 1881 y(in)32 b(case)h Fx(\017)753 1896 y Fu(3)793 1881 y Fz(\()p Fx(\017)870 1896 y Fu(1)910 1881 y Fz(\))f(is)g(c)m(hosen)i(su\016cien)m(tly)g(small.)269 2078 y(2.)49 b(F)-8 b(or)39 b(estimates)h(from)f(ab)s(o)m(v)m(e)i(w)m (e)h(\014x)f(the)f(constan)m(t)i Fx(\017)2449 2093 y Fu(4)2529 2078 y Fz(=)f Fx(\017)2685 2093 y Fu(4)2725 2078 y Fz(\()p Fx(\017)2802 2093 y Fu(3)2841 2078 y Fz(\))g(su\016cien) m(tly)g(small.)64 b(The)394 2198 y(measure)33 b(of)f(p)s(oin)m(ts)g (near)h(the)g(2\()p Fx(d)21 b Fv(\000)i Fz(1\))32 b Fx(s)p Fz(-faces)h(is:)1012 2416 y Fx(\026)1071 2431 y Fu(1)1110 2416 y Fz(\()p Fx(G)1225 2375 y Ft(\016)1225 2441 y(i)1285 2416 y Fv(\\)22 b Fz(\()p Fx(@)1467 2375 y Ft(s)1505 2416 y Fx(G)1582 2375 y Ft(\016)1582 2441 y(i)1620 2416 y Fz(\))1658 2375 y Fu([)p Ft(\017)1707 2384 y Fo(4)1740 2375 y Ft(\016)r Fu(])1798 2416 y Fz(\))28 b Fv(\024)g Fz(2\()p Fx(d)21 b Fv(\000)i Fz(1\))p Fx(c)2357 2431 y Fu(4)2396 2416 y Fx(\017)2435 2431 y Fu(4)2475 2416 y Fx(\016)t(\016)2569 2375 y Fu(2)p Ft(d)p Fr(\000)p Fu(3)2762 2416 y Fv(\024)2877 2349 y Fx(\017)2916 2364 y Fu(3)p 2877 2393 79 4 v 2892 2484 a Fz(4)2966 2416 y Fx(\026)3025 2431 y Fu(1)3064 2416 y Fz(\()p Fx(G)3179 2375 y Ft(\016)3179 2441 y(i)3217 2416 y Fz(\))p Fx(:)417 b Fz(\(4.7\))394 2636 y(W)-8 b(e)43 b(need)h(one)f(more)f(estimate)g (of)h(similar)c(t)m(yp)s(e.)76 b Fw(This)43 b(is)i(the)f(se)-5 b(c)g(ond)43 b(p)-5 b(oint)44 b(wher)-5 b(e)44 b(the)394 2757 y(original)38 b(pr)-5 b(o)g(of)39 b(has)g(to)h(b)-5 b(e)39 b(mo)-5 b(di\014e)g(d,)39 b(and)g(the)g(smo)-5 b(othness/Lipschitzness)37 b(of)i(singularity)394 2877 y(c)-5 b(omp)g(onents)41 b(is)h(use)-5 b(d)p Fz(.)68 b(Recall)39 b(that)i(for)f(a)h(bad)g(parallelepip)s(ed)d(of)i(t)m(yp)s (e)i(\(B\))e(there)i(is)e(at)394 2997 y(most)28 b(one)g(Lipsc)m(hitz)h (comp)s(onen)m(t)1736 2972 y(^)1710 2997 y Fv(R)g Fz(of)f(the)g (singularit)m(y)f(set)i(for)f Fx(T)2936 2961 y Ft(F)10 b Fu(\()p Ft(\016)r Fu(\))3111 2997 y Fz(in)m(tersecting)28 b(it.)42 b(W)-8 b(e)394 3118 y(are)34 b(in)m(terested)i(in)e (estimating)e(the)j(measure)g(of)f(the)h Fx(\017)2477 3133 y Fu(4)2517 3118 y Fx(\016)t Fz(-neigh)m(b)s(orho)s(o)s(d)e(of)h (this)g(Lipsc)m(hitz)394 3238 y(graph)29 b(inside)g(the)h(parallelepip) s(ed.)40 b(If)29 b Fx(\017)1902 3253 y Fu(4)1970 3238 y Fx(<)2227 3199 y Fu(1)p 2083 3215 322 4 v 2083 3225 a Fr(p)p 2142 3225 173 3 v 56 x Ft(L)2190 3262 y Fo(2)2225 3281 y Fu(+1+1)2445 3238 y Fz(\()p Fx(L)g Fz(is)g(the)h(Lipsc)m (hitz-constan)m(t\))g(then,)394 3372 y(b)m(y)41 b(the)g(construction)g (of)e(t)m(yp)s(e)j(\(A\))e(paralellepip)s(eds,)g(Lemma)f(3.9)h(can)h(b) s(e)g(applied,)g(and)394 3492 y(giv)m(es)1247 3630 y Fx(\026)1306 3645 y Fu(1)1345 3630 y Fz(\()p Fx(G)1460 3589 y Ft(\016)1460 3655 y(i)1520 3630 y Fv(\\)22 b Fz(\()1672 3605 y(^)1646 3630 y Fv(R)q Fz(\))1769 3589 y Fu([)p Ft(\017)1818 3598 y Fo(4)1851 3589 y Ft(\016)r Fu(])1909 3630 y Fz(\))27 b Fv(\024)i Fx(c)2122 3645 y Fu(5)2161 3630 y Fx(\017)2200 3645 y Fu(4)2240 3630 y Fx(\016)t(\016)2334 3589 y Fu(2)p Ft(d)p Fr(\000)p Fu(3)2527 3630 y Fv(\024)2642 3563 y Fx(\017)2681 3578 y Fu(3)p 2642 3607 79 4 v 2657 3698 a Fz(4)2731 3630 y Fx(\026)2790 3645 y Fu(1)2829 3630 y Fz(\()p Fx(G)2944 3589 y Ft(\016)2944 3655 y(i)2982 3630 y Fz(\))p Fx(:)652 b Fz(\(4.8\))394 3825 y(whenev)m(er)35 b(again)c Fx(\017)1121 3840 y Fu(4)1161 3825 y Fz(\()p Fx(\017)1238 3840 y Fu(3)1278 3825 y Fz(\))h(is)g(small)f(enough.)269 4021 y(3.)49 b(No)m(w)24 b(w)m(e)g(c)m(ho)s(ose)h Fx(\017)1081 4036 y Fu(2)1120 4021 y Fz(\()p Fx(\017)1197 4036 y Fu(4)1237 4021 y Fz(\))e(small)e(enough,)26 b(so)e(that)f(b)m(y)h(\(4.5\))f (stable)g(manifolds)e(and)j(singularit)m(y)394 4141 y(comp)s(onen)m(ts) 41 b(are)f(`almost)e(parallel'.)64 b(Namely)-8 b(,)42 b(the)e(smallness)g(of)f Fx(\017)3050 4156 y Fu(2)3130 4141 y Fz(should)h(guarran)m(tee)394 4262 y(that)32 b(for)g(an)m(y)i Fx(y)c Fv(2)e Fx(G)1188 4225 y Ft(\016)1188 4286 y(i)1259 4262 y Fz(for)k(whic)m(h)h Fx(\015)1743 4225 y Ft(s)1780 4262 y Fz(\()p Fx(y)t Fz(\))e(do)s(es)i(not)g(in)m(tersect)g(correctly) g(w)m(e)g(ha)m(v)m(e:)1214 4456 y Fx(y)e Fv(2)d Fz(\()p Fx(G)1502 4415 y Ft(\016)1502 4481 y(i)1562 4456 y Fv(\\)22 b Fz(\()1714 4431 y(^)1688 4456 y Fv(R)q Fz(\))1811 4415 y Fu([)p Ft(\017)1860 4424 y Fo(4)1893 4415 y Ft(\016)r Fu(])1951 4456 y Fz(\))g Fv([)g Fz(\()p Fx(G)2214 4415 y Ft(\016)2214 4481 y(i)2274 4456 y Fv(\\)h Fz(\()p Fx(@)2457 4415 y Ft(s)2495 4456 y Fx(G)2572 4415 y Ft(\016)2572 4481 y(i)2609 4456 y Fz(\))2647 4415 y Fu([)p Ft(\017)2696 4424 y Fo(4)2730 4415 y Ft(\016)r Fu(])2787 4456 y Fz(\))g Fv([)f Fx(U)3012 4415 y Ft(b)3002 4481 y(!)3053 4456 y Fx(:)296 4689 y Fz(W)-8 b(e)39 b(only)g(need)h(some)e(minor)f (considerations)h(to)h(complete)f(the)h(pro)s(of.)61 b(Observ)m(e)41 b(\014rst)e(that)150 4810 y(for)d(go)s(o)s(d)g (parallelepip)s(eds)f(the)i(statemen)m(t)h(\(I\))f(eviden)m(tly)g (holds.)56 b(As)38 b(for)e(\(I)s(I\))h(w)m(e)h(ha)m(v)m(e)g(already)150 4930 y(sho)m(wn)i(that)e(bad)h(parallelepip)s(eds)d(of)i(t)m(yp)s(e)i (\(A\))e(are)h(of)f(measure)h Fx(o)p Fz(\()p Fx(\016)t Fz(\))f(\(recall)f(\(4.4\)\),)j(w)m(e)f(shall)150 5050 y(sho)m(w)34 b(the)g(same)f(for)g(those)h(of)f(t)m(yp)s(e)h(\(B\))g(as) f(w)m(ell.)45 b(Indeed,)35 b(let)e(us)h(consider)f(a)g Fx(G)3233 5014 y Ft(\016)3233 5075 y(i)3305 5050 y Fz(with)f(an)i (s-face)150 5171 y Fx(E)228 5135 y Ft(s)297 5171 y Fz(for)e(whic)m(h)h (\(4.3\))g(holds.)43 b(By)33 b(the)g(argumen)m(ts)g(1.-3.)42 b(ab)s(o)m(v)m(e:)948 5389 y Fx(\026)1007 5404 y Fu(1)1046 5389 y Fz(\()p Fx(G)1161 5348 y Ft(\016)1161 5413 y(i)1221 5389 y Fv(\\)22 b Fx(U)1385 5348 y Ft(b)1375 5413 y(!)1426 5389 y Fz(\))28 b Fv(\025)g Fx(\026)1656 5404 y Fu(1)1695 5389 y Fz(\()p Fx(G)1810 5348 y Ft(\016)1810 5413 y(i)1870 5389 y Fv(\\)22 b Fz(\()p Fx(E)2074 5348 y Ft(s)2111 5389 y Fz(\))2149 5348 y Fu([)p Ft(\017)2198 5357 y Fo(1)2232 5348 y Ft(\016)r Fu(])2311 5389 y Fv(\\)h Fx(U)2476 5348 y Ft(b)2466 5413 y(!)2517 5389 y Fz(\))k Fv(\025)2697 5321 y Fx(\017)2736 5336 y Fu(3)p 2697 5366 V 2712 5457 a Fz(4)2786 5389 y Fx(\026)2845 5404 y Fu(1)2884 5389 y Fz(\()p Fx(G)2999 5348 y Ft(\016)2999 5413 y(i)3037 5389 y Fz(\))p Fx(:)1976 5656 y Fz(21)p eop %%Page: 22 22 22 21 bop 150 407 a Fz(No)m(w)47 b(recall)e(that)i(in)e(a)i(regular)e (co)m(v)m(ering)i(there)h(are)e(at)g(most)g(2)2724 371 y Fu(2)p Ft(d)p Fr(\000)p Fu(2)2937 407 y Fz(parallelepip)s(eds)e(with) i(a)150 527 y(non-empt)m(y)33 b(common)e(in)m(tersection.)43 b(Th)m(us:)979 784 y(2)1028 743 y Fu(2)p Ft(d)p Fr(\000)p Fu(2)1193 784 y Fx(\026)1252 799 y Fu(1)1292 784 y Fz(\()p Fx(U)1406 743 y Ft(b)1396 809 y(!)1446 784 y Fz(\))28 b Fv(\025)1617 689 y Fn(X)1761 682 y Fl(0)1804 784 y Fx(\026)1863 799 y Fu(1)1902 784 y Fz(\()p Fx(G)2017 743 y Ft(\016)2017 809 y(i)2077 784 y Fv(\\)23 b Fx(U)2242 743 y Ft(b)2232 809 y(!)2282 784 y Fz(\))28 b Fv(\025)2463 717 y Fx(\017)2502 732 y Fu(3)p 2463 761 79 4 v 2478 852 a Fz(4)2568 689 y Fn(X)2712 682 y Fl(0)2755 784 y Fx(\026)2814 799 y Fu(1)2853 784 y Fz(\()p Fx(G)2968 743 y Ft(\016)2968 809 y(i)3006 784 y Fz(\))p Fx(;)150 1060 y Fz(where)445 985 y Fn(P)550 988 y Fl(0)622 1060 y Fz(denotes)46 b(the)g(sum)f(o)m(v)m(er)i(bad)e(parallelepip)s(eds)f 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Fi(n)150 592 y Fz(Our)30 b(approac)m(h)g (generalizes)g(that)g(of)f(section)i(3)e(of)h([S-Sz\(1999\)].)42 b(Since)30 b(there)h(a)e(detailed)g(exp)s(osi-)150 712 y(tion)d(w)m(as)h(giv)m(en,)h(here)g(w)m(e)g(are)e(satis\014ed)h(b)m(y) h(referring)e(to)g(the)i(main)d(steps)j(of)e(the)h(complexi\014cation) 150 832 y(of)j(the)h(dynamics.)42 b(Still)28 b(w)m(e)k(completely)d (explain)g(those)i(parts)g(where)h(our)e(argumen)m(ts)h(are)f (di\013er-)150 953 y(en)m(t.)296 1073 y(In)j(a)g(n)m(utshell)f(the)h (picture)f(is)h(the)g(follo)m(wing.)40 b(In)33 b([S-Sz\(1999\)])295 1301 y Fv(\017)49 b Fz(the)29 b(authors)g(w)m(ere)g(only)f(considering) g(quadratic)h(b)s(oundaries)f(since)h(hard)f(ball)f(systems)j(are)394 1422 y(quadratic)i(billiards;)295 1625 y Fv(\017)49 b Fz(and)28 b(for)g(the)h(quadratic)e(case)j(they)f(elab)s(orated)e(a)h (most)g(detailed)f(algebraic)f(analysis)i(of)g(the)394 1746 y(situation.)296 1974 y(Here)34 b(w)m(e)f(do)g(not)f(need)i(suc)m (h)g(a)e(delicate)g(picture.)44 b(But)32 b(on)h(the)g(other)g(hand,)g (w)m(e)g(are)g(treating)150 2094 y(the)j(general)e(algebraic)g(case.)52 b(The)36 b(c)m(hain)f(of)g(\014eld)g(extensions)h(of)f([S-Sz\(1999\)])f (relied)g(up)s(on)i(the)150 2215 y(explicit)29 b(solv)-5 b(abilit)m(y)27 b(of)j(the)h(arising)d(quadratic)i(equations)g(and)h (applied)e(the)h(related)g(elimination)150 2335 y(of)i(the)g(square)h (ro)s(ots.)43 b(In)32 b(the)h(general)e(case)i(w)m(e)g(rather)f(apply)g (the)g(norm)f(used)i(in)f(Galois)d(theory)-8 b(.)296 2455 y(W)g(e)42 b(\014rst)f(\014x)g(some)g(notation)f({)g(sligh)m(tly)f (di\013eren)m(t)i(from)f(the)h(usual)g(con)m(v)m(en)m(tions)h({)f(at)f (this)150 2576 y(p)s(oin)m(t.)h(According)29 b(to)f(the)h(de\014nition) f(ab)s(o)m(v)m(e,)i Fx(@)5 b(Q)29 b Fz(=)e Fv([)2241 2540 y Ft(J)2241 2600 y(j)t Fu(=1)2368 2576 y Fx(@)5 b(Q)2501 2591 y Ft(j)2539 2576 y Fz(,)30 b(where)f(the)h(comp)s(onen)m (ts)f Fx(@)5 b(Q)3704 2591 y Ft(j)3770 2576 y Fz(are)150 2696 y(all)27 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3522 y Fx(x)3293 3537 y Fu(0)3333 3522 y Fx(;)17 b(T)41 b(>)28 b Fz(0)h(of)g(the)150 3643 y(billiard)f(\015o)m(w)j(with)g Fx(T)45 b Fz(su\016cien)m(tly)32 b(large.)42 b(In)31 b(fact,)h(it)e(will)f(b)s(e)i(useful)g(to)g(also)g (drop)g(the)g(condition)150 3763 y Fv(jj)p Fx(v)t Fv(jj)42 b Fz(=)h(1.)71 b(Consequen)m(tly)-8 b(,)47 b(the)42 b(dimension)f(of)g (our)h(phase)h(space)g(will)c(b)s(e)j(2)p Fx(d)f Fz(\(\014rst)i(the)f (phase)150 3883 y(space)34 b(will)c(b)s(e)j(T)761 3866 y Fr(j)813 3842 y Ft(d)876 3883 y Fv(\002)22 b Fq(R)1041 3847 y Ft(d)1120 3883 y Fz(and)33 b(later)f(just)h Fq(R)1797 3847 y Fu(2)p Ft(d)1878 3883 y Fz(\).)296 4004 y(The)h(sym)m(b)s(olic)d (collision)f(sequence)35 b(of)d Fx(S)1857 3968 y Fu([0)p Ft(;T)10 b Fu(])2006 4004 y Fx(x)2061 4019 y Fu(0)2133 4004 y Fz(will)31 b(b)s(e)h(denoted)i(b)m(y)1066 4224 y Fx(\033)d Fz(=)d(\006\()p Fx(S)1430 4183 y Fu([0)p Ft(;T)10 b Fu(])1579 4224 y Fx(x)1634 4239 y Fu(0)1674 4224 y Fz(\))28 b(=)f(\()p Fx(\033)1936 4239 y Fu(1)1976 4224 y Fx(;)17 b(\033)2075 4239 y Fu(2)2115 4224 y Fx(;)g(:)g(:)g(:)e (;)i(\033)2388 4239 y Ft(n)2436 4224 y Fz(\))195 b(\()p Fx(n)27 b Fv(\025)i Fz(0\))714 b(\(5.1\))150 4444 y Fp(Remark)37 b(5.3.)49 b Fw(By)g(de\014nition,)i Fz(\()p Fx(q)1527 4459 y Fu(0)1567 4444 y Fx(;)17 b(v)1658 4459 y Fu(0)1697 4444 y Fz(\))49 b Fw(c)-5 b(orr)g(esp)g(onds)48 b(to)h(the)g(initial,)k (gener)-5 b(al)5 b(ly)48 b(nonc)-5 b(ol)5 b(lision)150 4564 y(phase)28 b(p)-5 b(oint)28 b Fx(x)708 4579 y Fu(0)776 4564 y Fw(of)h(the)f(\015ow.)43 b(F)-7 b(urthermor)i(e)27 b Fx(T)1912 4528 y Ft(k)1955 4564 y Fx(x)2010 4579 y Fu(0)2077 4564 y Fz(=)h Fx(x)2236 4579 y Ft(k)2307 4564 y Fz(=)f(\()p Fx(q)2491 4579 y Ft(k)2534 4564 y Fx(;)17 b(v)2625 4579 y Ft(k)2667 4564 y Fz(\))28 b Fv(2)g Fx(@)5 b(Q)2960 4579 y Ft(\033)3000 4591 y Fh(k)3072 4564 y Fw(for)29 b(every)f Fz(1)g Fv(\024)g Fx(k)j Fv(\024)d Fx(n)150 4685 y Fw(\(we)37 b(note)h(that)h(for)e(a)h(phase)f(p)-5 b(oint)38 b Fx(x)1583 4700 y Fu(0)1668 4685 y Fx(=)-61 b Fv(2)34 b Fx(@)5 b(M)50 b Fw(of)38 b(the)g(\015ow)g Fx(T)14 b(x)2575 4700 y Fu(0)2648 4685 y Fv(2)34 b Fx(@)5 b(M)49 b Fw(c)-5 b(oincides)37 b(by)h(de\014nition)150 4805 y(with)48 b(the)h(\014rst)g(p)-5 b(oint)48 b(wher)-5 b(e)48 b(the)h(p)-5 b(ositive)48 b(semi-orbit)g(of)g Fx(x)2517 4820 y Fu(0)2605 4805 y Fw(r)-5 b(e)g(aches)48 b(the)h(b)-5 b(oundary)48 b Fx(@)5 b(M)10 b Fw(;)57 b(in)150 4925 y([K-S-Sz\(1990\)])46 b(this)i(map)f(was)g(denote)-5 b(d)47 b(by)i Fx(T)2041 4889 y Fu(+)2099 4925 y Fw(\).)84 b(By)48 b(a)g(slight)f(abuse)h(of)f(notation)h(we)g(wil)5 b(l)150 5046 y(ke)-5 b(ep)44 b(denoting)f(by)h Fv(R)999 5010 y Fr(\000)p Ft(n)1146 5046 y Fw(\(intr)-5 b(o)g(duc)g(e)g(d)44 b(in)g(subse)-5 b(ction)43 b(2.1\))h(the)g Fx(n)p Fw(th)h(inverse)e (image)h(of)g Fv(R)g Fw(in)g(a)150 5166 y Fz(2)p Fx(d)p Fw(-dimensional)32 b(neighb)-5 b(ourho)g(o)g(d)34 b(of)g Fx(x)1628 5181 y Fu(0)1703 5166 y Fw(.)1976 5656 y Fz(23)p eop %%Page: 24 24 24 23 bop 296 407 a Fz(Ha)m(ving)41 b(\014xed)h Fx(\033)t Fz(,)h(w)m(e)f(\014rst)f(explore)g(the)h(algebraic)d(relationship)g(b)s (et)m(w)m(een)k(the)e(consecutiv)m(e)150 527 y Fx(x)205 542 y Ft(k)248 527 y Fz(s.)55 b(F)-8 b(or)35 b(b)s(eing)h(able)f(to)h (carry)g(out)g(arithmetic)f(op)s(erations)g(on)h(our)g(data,)h(w)m(e)g (lift)d(the)j(gen)m(uine)150 648 y(orbit)45 b(segmen)m(t)i(to)f(the)h (co)m(v)m(ering)g(Euclidean)f(space)h(of)f(the)h(torus.)85 b(This)47 b(can)g(b)s(e)f(done)h(b)m(y)g(a)150 768 y(straigh)m(tforw)m (ard)32 b(generalization)e(of)i(the)h(trivial)d(Prop)s(ostion)i(3.1)g (of)g([S-Sz\(1999\)].)150 971 y Fp(Prop)s(osition)k(5.4.)49 b Fw(L)-5 b(et)35 b Fx(S)1213 935 y Fu([0)p Ft(;T)10 b Fu(])1362 971 y Fx(x)1417 986 y Fu(0)1491 971 y Fw(b)-5 b(e)34 b(an)g(orbit)h(se)-5 b(gment)34 b(of)g(the)h(discr)-5 b(etize)g(d)33 b(dynamics.)44 b(Assume)150 1092 y(that)h(a)f(c)-5 b(ertain)44 b(pr)-5 b(e-image)43 b(\(Euclide)-5 b(an)44 b(lifting\))51 b Fz(~)-56 b Fx(q)2120 1107 y Fu(0)2205 1092 y Fv(2)46 b Fq(R)2383 1056 y Ft(d)2474 1092 y Fw(of)e(the)h(p)-5 b(osition)43 b Fx(q)3188 1107 y Fu(0)3273 1092 y Fv(2)j Fq(T)3448 1056 y Ft(d)3537 1092 y Fw(is)e(given.)150 1212 y(Then)34 b(ther)-5 b(e)34 b(is)h(a)f(uniquely)h(de\014ne)-5 b(d)34 b(Euclide)-5 b(an)34 b(lifting)g Fv(f)7 b Fz(~)-56 b Fx(q)2371 1227 y Ft(i)2427 1212 y Fv(2)28 b Fq(R)2587 1176 y Ft(d)2633 1212 y Fv(j)p Fz(0)f Fv(\024)i Fx(k)h Fv(\024)e Fx(n)p Fv(g)35 b Fw(of)f(the)h(given)f(orbit)150 1333 y(se)-5 b(gment)41 b(which,)i(when)e(c)-5 b(onsider)g(e)g(d)41 b(in)h(c)-5 b(ontinuous)42 b(time,)h(is)f(a)g(time-c)-5 b(ontinuous)41 b(extension)g(of)150 1453 y(the)i(original)f(lifting)50 b Fz(~)-56 b Fx(q)1021 1468 y Fu(0)1061 1453 y Fw(.)70 b(Mor)-5 b(e)g(over,)44 b(for)f(every)h(c)-5 b(ol)5 b(lision)41 b Fx(\033)2506 1468 y Ft(k)2593 1453 y Fw(ther)-5 b(e)43 b(exists)g(a)g(uniquely)g(de\014ne)-5 b(d)150 1573 y(inte)g(ger)35 b(ve)-5 b(ctor)34 b Fx(a)811 1588 y Ft(k)882 1573 y Fv(2)28 b Fq(Z)1045 1537 y Ft(d)1118 1573 y Fw(|)34 b(name)-5 b(d)34 b Fz(the)f(adjustmen)m(t)g(v)m(ector)j Fw(of)e Fx(\033)2703 1588 y Ft(k)2781 1573 y Fw(|)h(such)g(that)1303 1793 y Fx(B)1377 1808 y Ft(\033)1417 1820 y Fh(k)1460 1793 y Fz(\()7 b(~)-56 b Fx(q)1541 1808 y Ft(k)1606 1793 y Fv(\000)23 b Fx(a)1757 1808 y Ft(k)1800 1793 y Fz(\))k(=)h(0)199 b(\(1)27 b Fv(\024)h Fx(k)j Fv(\024)d Fx(n)p Fz(\))p Fx(:)150 2013 y Fw(\(of)33 b(c)-5 b(ourse,)41 b Fz(~)-56 b Fx(q)678 2028 y Fu(0)736 2013 y Fv(\000)20 b Fx(q)876 2028 y Fu(0)944 2013 y Fz(=)27 b Fx(a)1098 2028 y Fu(0)1165 2013 y Fv(2)i Fq(Z)1329 1977 y Ft(d)1366 2013 y Fw(\).)45 b(The)32 b(orbit)i(se)-5 b(gment)41 b Fz(~)-57 b Fx(!)31 b Fz(=)c Fv(f)7 b Fz(~)-56 b Fx(q)2568 2028 y Ft(k)2611 2013 y Fv(j)p Fz(0)27 b Fv(\024)h Fx(k)j Fv(\024)d Fx(n)p Fv(g)34 b Fw(is)f(c)-5 b(al)5 b(le)-5 b(d)33 b(the)h Fz(lifted)150 2134 y(orbit)d(segmen)m(t)36 b Fw(with)f(the)g(system)f (of)h(adjustment)g(vexctors)f Fv(A)27 b Fz(=)h(\()p Fx(a)2753 2149 y Fu(0)2792 2134 y Fx(;)17 b(:)g(:)g(:)f(;)h(a)3062 2149 y 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(closedness)j(of)f(the)g(arising)e(\014elds)h(and)h(therefore)g(w)m(e)h (complexify)150 5239 y(the)40 b(dynamics.)64 b(F)-8 b(rom)38 b(this)h(p)s(oin)m(t)f(on,)j(our)f(approac)m(h,)h(though)f(related)f (but)g(nev)m(ertheless)j(will)150 5359 y(already)32 b(b)s(e)h (di\013eren)m(t)g(from)e(that)h(of)g([S-Sz\(1999\)].)1976 5656 y(24)p eop %%Page: 25 25 25 24 bop 150 407 a Fp(De\014nition)36 b(5.6.)49 b Fw(F)-7 b(or)39 b Fx(n)e Fz(=)g(0)i Fw(the)h(\014eld)f Fq(K)1832 422 y Fu(0)1914 407 y Fz(=)d Fq(K)18 b Fz(\()p Fv(;)p Fz(;)f Fv(;)p Fz(\))45 b Fw(is)39 b(the)h(tr)-5 b(anc)g(endental)39 b(extension)g Fq(C)20 b Fz(\()p Fv(B)s Fz(\))150 527 y Fw(of)35 b(the)f(c)-5 b(o)g(e\016cient)35 b(\014eld)f Fq(C)61 b Fw(by)35 b(the)f(algebr)-5 b(aic)g(al)5 b(ly)34 b(indep)-5 b(endent)34 b(formal)g(variables)1437 745 y Fv(B)d Fz(=)d Fv(f)p Fz(\()7 b(~)-56 b Fx(q)1768 760 y Fu(0)1807 745 y Fz(\))1845 760 y Ft(j)1882 745 y Fx(;)17 b Fz(\()p Fx(v)2011 760 y Fu(0)2050 745 y Fz(\))2088 760 y Ft(j)2124 745 y Fv(j)p Fz(1)27 b Fv(\024)i Fx(j)k Fv(\024)28 b Fx(d)p Fv(g)150 963 y Fw(Supp)-5 b(ose)29 b(now)f(that)i(the)f(c)-5 b(ommutative)29 b(\014eld)f Fq(K)1904 978 y Ft(n)p Fr(\000)p Fu(1)2075 963 y Fz(=)f Fq(K)18 b Fz(\(\006)2358 927 y Fr(0)2387 963 y Fz(;)f Fv(A)2511 927 y Fr(0)2534 963 y Fz(\))29 b Fw(has)g(alr)-5 b(e)g(ady)29 b(b)-5 b(e)g(en)28 b(de\014ne)-5 b(d,)30 b(wher)-5 b(e)150 1083 y Fz(\006)220 1047 y Fr(0)271 1083 y Fz(=)28 b(\()p Fx(\033)468 1098 y Fu(1)508 1083 y Fx(;)17 b(\033)607 1098 y Fu(2)646 1083 y Fx(;)g(:)g(:)g(:)f(;)h (\033)920 1098 y Ft(n)p Fr(\000)p Fu(1)1057 1083 y Fz(\);)g Fv(A)1219 1047 y Fr(0)1270 1083 y Fz(=)27 b(\()p Fx(a)1462 1098 y Fu(0)1502 1083 y Fx(;)17 b(a)1597 1098 y Fu(1)1636 1083 y Fx(;)g(:)g(:)g(:)f(;)h(a)1906 1098 y Ft(n)p Fr(\000)p Fu(1)2043 1083 y Fz(\))p Fw(.)45 b(Consider)33 b(now)i(the)f(p)-5 b(olynomial)34 b(e)-5 b(quation)1420 1301 y Fx(b)1461 1316 y Ft(l)1487 1301 y Fx(\034)1540 1260 y Ft(l)1589 1301 y Fz(+)22 b Fx(b)1728 1316 y Ft(l)q 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Fz(=)27 b Fq(K)2658 2377 y Ft(n)p Fr(\000)p Fu(1)2801 2362 y Fz(\()p Fx(\034)2881 2377 y Ft(n)2928 2362 y Fz(\))p Fw(.)296 2482 y(In)46 b(such)h(a)f(way)h(we)f(ar)-5 b(e)47 b(given)f(a)g(chain)g(of)h (extensions)e Fq(K)2627 2497 y Fu(0)2672 2482 y Fx(;)17 b Fq(K)2787 2497 y Fu(1)2833 2482 y Fx(;)g(:)g(:)g(:)f(;)h Fq(K)3123 2497 y Ft(n)3222 2482 y Fw(wher)-5 b(e)47 b(for)f(every)150 2603 y Fx(k)35 b Fz(=)c(1)p Fx(;)17 b(:)g(:)g(:)f(;)h(n)36 b Fw(the)h(r)-5 b(elation)37 b Fq(K)1300 2618 y Ft(k)1381 2603 y Fz(=)31 b Fq(K)1559 2618 y Ft(k)r Fr(\000)p Fu(1)1698 2603 y Fz(\()p Fx(\034)1778 2618 y Ft(k)1821 2603 y Fz(\))37 b Fw(holds.)50 b(By)37 b(our)g(c)-5 b(onstruction)37 b(and)f(by)i(the)e(the)-5 b(or)g(em)150 2723 y(on)39 b(the)f(prime)h(element)f(of)g(algebr)-5 b(a,)39 b Fq(K)1664 2738 y Ft(n)1756 2723 y Fw(c)-5 b(an)38 b(also)g(b)-5 b(e)39 b(expr)-5 b(esse)g(d)38 b(as)g Fq(K)2895 2738 y Fu(0)2940 2723 y Fz(\()5 b(~)-54 b Fx(\034)3020 2738 y Ft(n)3067 2723 y Fz(\))39 b Fw(for)g(some)k 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b(just)g(describ)s(ed)h(generalizes)f(the)g(elimination)c(of)j(the)h (square)h(ro)s(ots)f(metho)s(d)f(applied)1976 5656 y(25)p eop %%Page: 26 26 26 25 bop 150 407 a Fz(in)37 b([S-Sz\(1999\)].)57 b(By)38 b(our)f(construction)g(it)g(remains)f(also)g(true)i(that)f(this)g(p)s (olynomial)d(has)k(real)150 527 y(co)s(e\016cien)m(ts)32 b(for)f(our)g(real,)g(dynamical)e(orbit.)42 b(All)29 b(in)i(all)e(for)h(ev)m(ery)j(\014xed)g(\006)e(and)h Fv(A)e Fz(the)i(resulting)150 648 y(piece)37 b(of)f Fv(R)597 611 y Fr(\000)p Ft(n)737 648 y Fz(is)g(an)h(algebraic)e(submanifold.)54 b(F)-8 b(rom)35 b(the)j(\014niteness)g(of)e(the)h(horizon)f(it)g(is)g (clear)150 768 y(that)24 b(in)f(the)h(case)h(of)f(our)g(real)f (dynamics)h(only)f(a)h(\014nite)g(n)m(um)m(b)s(er)g(of)g(\006)g(and)g Fv(A)g Fz(pro)m(vide)g(a)g(non-empt)m(y)150 888 y(piece)33 b(of)f Fv(R)589 852 y Fr(\000)p Ft(n)691 888 y Fz(.)296 1009 y(In)h(this)f(w)m(a)m(y)i(w)m(e)g(ha)m(v)m(e)g(established)150 1212 y Fp(Theorem)j(5.7.)49 b Fv(R)932 1176 y 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1082 y Ft(d)p Fu(+1)1583 1118 y Fz(\()p Fx(H)8 b Fz(\))27 b(=)g(0)33 b(then)g(b)m(y)g(the)g(Lemma)e(for)h(an)m(y)i Fx(c)27 b(>)h Fz(1:)p 769 1325 V 769 1405 a Fv(M)889 1343 y Ft(d)929 1405 y Fz(\()p Fx(H)8 b Fz(\))83 b(=)f(lim)17 b(sup)1416 1484 y Ft(")p Fr(!)p Fu(0)1661 1337 y Fv(L)1730 1301 y Ft(m)1796 1337 y Fz(\()p Fx(H)1923 1301 y Fu([)p Ft(d")p Fu(])2035 1337 y Fz(\))p 1661 1382 412 4 v 1702 1473 a(\()p Fx(d")p Fz(\))1875 1444 y Ft(m)p Fr(\000)p Ft(d)2111 1405 y Fv(\024)28 b Fz(lim)17 b(sup)2296 1484 y Ft(")p Fr(!)p Fu(0)2541 1337 y Fz(\(2)p Fx(d")p Fz(\))2763 1301 y Ft(m)2829 1337 y Fx(N)2907 1352 y Ft(m;d;k)r(;")p 2541 1382 599 4 v 2676 1473 a Fz(\()p Fx(d")p Fz(\))2849 1444 y Ft(m)p Fr(\000)p Ft(d)3177 1405 y Fz(=)446 b(\(5.7\))1177 1712 y(=)82 b(lim)17 b(sup)1416 1791 y Ft(")p Fr(!)p Fu(0)1651 1712 y Fz(2)1700 1671 y Ft(m)1766 1712 y Fx(d)1817 1671 y Ft(d)1858 1712 y Fx(c)1900 1671 y Ft(d)2010 1587 y(d)1957 1617 y Fn(X)1971 1827 y Ft(i)p Fu(=0)2117 1571 y Fn(\022)2316 1644 y 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b Fv(\\)26 b Fx(B)3602 783 y Ft(r)3640 768 y Fz(\()p Fx(A)p Fz(\))35 b(=)150 888 y Fv(f)p Fz(\()p Fx(x;)17 b(f)11 b Fz(\()p Fx(x)p Fz(\)\))p Fv(j)p Fx(x)28 b Fv(2)g Fx(D)s Fv(g)o Fw(.)45 b Fx(x)1033 903 y Fu(0)1101 888 y Fz(=)27 b Fx(\031)t Fz(\()p Fx(A)p Fz(\))35 b Fw(is)f(an)h(inner)f(p)-5 b(oint)35 b(of)f Fx(D)s Fw(.)45 b Fx(f)g Fw(is)35 b(di\013er)-5 b(entiable)34 b(in)g Fx(x)3425 903 y Fu(0)3500 888 y Fw(and)1133 1132 y Fz(grad)p Fx(f)11 b Fz(\()p Fx(x)1475 1147 y Fu(0)1514 1132 y Fz(\))28 b(=)g Fv(\000)1901 1064 y Fz(1)p 1771 1109 309 4 v 1803 1167 a Ft(@)t(P)p 1781 1183 140 4 v 1781 1241 a(@)t(x)1862 1249 y Fh(m)1930 1206 y Fz(\()p Fx(A)p Fz(\))2362 1064 y Fx(@)5 b(P)p 2099 1109 659 4 v 2099 1200 a(@)g Fz(\()p Fx(x)2248 1215 y Fu(1)2289 1200 y Fx(;)17 b(:)g(:)g(:)f(;)h(x)2563 1215 y Ft(m)p Fr(\000)p Fu(1)2720 1200 y Fz(\))2768 1132 y(\()p Fx(A)p Fz(\))150 1341 y Fw(.)150 1522 y(Pr)-5 b(o)g(of.)487 1482 y Ft(@)t(P)p 465 1499 140 4 v 465 1556 a(@)t(x)546 1564 y Fh(m)646 1522 y 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y(p)s(ossible)d(to)g(c)m(ho)s(ose)h(an)g(orthogonal)d(co)s(ordinate)i (system)h(in)f Fq(R)2527 3609 y Ft(m)2629 3645 y Fz(suc)m(h)i(that)e (the)h Fx(m)p Fz(th)g(base)g(v)m(ector)150 3765 y(p)s(oin)m(ts)k(in)g (the)i(direction)d Fx(v)t Fz(.)50 b(F)-8 b(or)34 b(arctan\()p Fx(L)1820 3729 y Fr(0)1844 3765 y Fz(\))d Fx(<)g(\036)h(<)f Fz(arctan\()p Fx(L)p Fz(\))k(and)g Fx(h)c Fz(=)h Fx(cos)p Fz(\()p Fx(\036)p Fz(\),)i(consider)i(the)150 3886 y(follo)m(wing)30 b(subset)k(of)e(the)h(algebraic)e(v)-5 b(ariet)m(y:)903 4200 y Fx(H)992 4159 y Ft(<\036)1175 4200 y Fz(=)83 b Fv(f)p Fx(x)28 b Fv(2)g Fx(H)40 b Fv(j)p Fd(^)p Fz(\(grad)p Fx(P)14 b Fz(\()p Fx(x)p Fz(\))p Fx(;)j(v)t Fz(\))26 b Fx(<)i(\036)p Fv(g)f Fz(=)1007 b(\(5.8\))1175 4403 y(=)1334 4262 y Fn(\032)1409 4403 y Fx(x)28 b Fv(2)g Fx(H)40 b Fv(j)32 b Fz(\()1876 4335 y Fx(@)p 1815 4380 179 4 v 1815 4471 a(@)5 b(x)1926 4486 y Ft(m)2004 4403 y Fx(P)14 b Fz(\()p Fx(x)p Fz(\)\))2250 4362 y Fu(2)2317 4403 y Fx(>)27 b(h)2476 4362 y Fu(2)2516 4403 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4887 y Fn(\033)3268 5028 y Fx(:)150 5287 y Fz(The)42 b(in)m(tersection)e(of)g Fx(H)1098 5251 y Fu(=)p Ft(\036)1199 5287 y Fz(-s)g(corresp)s(onding)h(to)f(di\013eren)m(t)h Fx(\036)p Fz(-s)f(is)g Fx(H)2829 5251 y Fr(\003)2868 5287 y Fz(,)j(whic)m(h)e(is)f(t)m(w)m(o-codimen-)150 5407 y(sional,)h(so)g(its)g(one-co)s(dimensional)c(Hausdor\013-measure) k(is)g(zero.)68 b(Ho)m(w)m(ev)m(er,)46 b(Prop)s(osition)39 b(5.11)1976 5656 y(29)p eop %%Page: 30 30 30 29 bop 150 407 a Fz(sa)m(ys)46 b(that)e(the)g(union)g(of)f(all)f Fx(H)1412 371 y Fu(=)p Ft(\036)1513 407 y Fz(-s)i(\(whic)m(h)h(is)e (part)h(of)g Fx(H)8 b Fz(\))43 b(has)i(a)f(\014nite)g(one-co)s (dimensional)150 527 y(Hausdor\013-measure.)77 b(So)44 b(apart)g(from)e(a)i(coun)m(table)g(n)m(um)m(b)s(er)g(of)f Fx(\036)p Fz(-s,)k(the)d(one-co)s(dimensional)150 648 y(Hausdor\013-measure)32 b(of)g Fx(H)1174 611 y Fu(=)p Ft(\036)1307 648 y Fz(is)f(zero.)44 b(Since)32 b Fx(H)1991 611 y Fu(=)p Ft(\036)2124 648 y Fz(is)g(algebraic,)e(Prop)s(osition)h (5.11)g(tells)g(us)i(that)150 768 y(almost)e(ev)m(ery)j Fx(H)811 732 y Fu(=)p Ft(\036)944 768 y Fz(is)e(t)m(w)m(o-co)s (dimensional.)296 888 y(W)-8 b(e)33 b(\014x)g Fx(H)691 852 y Fr(0)742 888 y Fz(=)28 b Fx(H)935 852 y Ft(<\036)1068 888 y Fz(with)k(one)h(suc)m(h)h(arctan\()p Fx(L)2064 852 y Fr(0)2087 888 y Fz(\))28 b Fx(<)f(\036)h(<)f Fz(arctan\()p Fx(L)p Fz(\).)296 1009 y(W)-8 b(e)37 b(will)d(cut)i Fx(H)916 973 y Fr(0)975 1009 y Fz(in)m(to)f(lo)s(cally)e(Lipsc)m(hitz)j(graphs.) 55 b(Let)36 b Fx(k)h Fz(:)c Fq(R)2664 973 y Ft(m)q Fr(\000)p Fu(1)2861 1009 y Fv(!)g Fq(N)51 b Fz(b)s(e)36 b(the)h(m)m(ultiplicit)m (y)150 1129 y(of)e Fx(\031)t Fz(\()p Fx(H)450 1093 y Fr(0)473 1129 y Fz(\).)52 b(Clearly)35 b(for)g(ev)m(ery)i Fx(x)c Fv(2)g Fx(\031)t Fz(\()p Fx(H)1717 1093 y Fr(0)1740 1129 y Fz(\))i(the)h(rastriction)e(of)h Fx(P)49 b Fz(to)35 b Fx(\031)2866 1093 y Fr(\000)p Fu(1)2960 1129 y Fz(\()p Fx(x)p Fz(\))h(is)f(nonzero,)i(so)f Fx(k)i Fz(is)150 1249 y(b)s(ounded)h(b)m(y)h(the)f(degree)h(of)e Fx(P)14 b Fz(,)40 b(and)f(Lemma)e(5.14)h(implies)f(that)h(it)g(is)g(lo)m(w)m (er)h(semicon)m(tin)m(uous.)150 1370 y(So,)29 b(the)f(set)g Fx(D)700 1385 y Fu(1)767 1370 y Fv(\032)g Fq(R)938 1334 y Ft(m)q Fr(\000)p Fu(1)1128 1370 y Fz(where)h Fx(k)i Fz(is)c(maximal,)e(is)i(op)s(en.)42 b(Here)29 b(w)m(e)f(can)g(de\014ne) h(the)f(\014nitely)f(man)m(y)150 1490 y(functions)32 b Fx(f)618 1505 y Fu(1)p Ft(;)p Fu(1)712 1490 y Fx(;)17 b(:)g(:)g(:)f(;)h(f)979 1505 y Fu(1)p Ft(;k)1071 1513 y Fh(max)1229 1490 y Fz(:)28 b Fx(D)1365 1505 y Fu(1)1432 1490 y Fv(!)f Fq(R)43 b Fz(taking)31 b(the)h(least,)g(second)h(least,)e (...,)i(greatest)f(elemen)m(t)f(of)150 1611 y Fx(\031)209 1574 y Fr(\000)p Fu(1)303 1611 y Fz(\()p Fx(x)p Fz(\))36 b(for)f(some)g Fx(x)e Fv(2)g Fx(D)1137 1626 y Fu(1)1176 1611 y Fz(.)52 b(Lemma)34 b(5.14)h(implies)e(that)i(these)i(functions)e (are)g(lo)s(cally)e(Lipsc)m(hitz)150 1731 y(with)f(constan)m(t)i Fx(L)f Fz(and)f(that)h(their)f(graphs)g(are)h(disjoin)m(t.)296 1851 y(No)m(w)25 b(w)m(e)h(claim)21 b(that)k(the)f(b)s(oundary)h(of)f (these)h(graphs)g(is)f(t)m(w)m(o-co)s(dimensional.)38 b(Indeed,)28 b Fx(H)3710 1815 y Fu(=)p Ft(\036)3834 1851 y Fz(is)150 1972 y(t)m(w)m(o-co)s(dimensional)d(and)i(algebraic,)g(so)g Fx(\031)t Fz(\()p Fx(H)1880 1936 y Fu(=)p Ft(\036)1980 1972 y Fz(\))g(is)g(also)f(part)h(of)g(a)f(one-co)s(dimensional)f (algebraic)150 2092 y(v)-5 b(ariet)m(y)25 b(in)f Fq(R)637 2056 y Ft(m)p Fr(\000)p Fu(1)800 2092 y Fz(.)41 b(The)25 b(pre-image)f(\(b)m(y)h Fx(\031)t Fz(\))g(of)f(this)h(v)-5 b(ariet)m(y)25 b(is)f(one-co)s(dimensional)e(in)i Fq(R)3456 2056 y Ft(m)3529 2092 y Fz(,)i(and)g(the)150 2213 y(b)s(oundary)j(of)e (our)h(graphs)h(is)e(on)h(the)h(in)m(tersection)f(of)f(this)h (pre-image)f(with)g Fx(H)8 b Fz(.)42 b(This)28 b(in)m(tersection)150 2333 y(is)46 b(transv)m(ersal)h(\(ensuring)f(t)m(w)m(o)h(co)s (dimensions\))e(at)h(p)s(oin)m(ts)g(of)g Fx(H)2710 2297 y Fr(0)2764 2333 y Fv(n)32 b Fx(H)2935 2297 y Fr(\003)2974 2333 y Fz(,)50 b(and)c(the)h(rest)g(of)f(the)150 2453 y(b)s(oundary)33 b(is)f(in)g Fx(H)890 2417 y Fr(\003)929 2453 y Fz(.)296 2599 y(No)m(w)42 b(erase)g(the)g(closure)f(of)g(these)h (graphs)g(from)e Fx(H)2321 2562 y Fr(0)2343 2599 y Fz(.)70 b(So)41 b(the)g(argumen)m(t)g(can)h(b)s(e)f(rep)s(eated)150 2719 y(with)c Fx(k)428 2734 y Ft(max)609 2719 y Fz(already)f(at)h (least)g(one)h(less.)57 b(The)39 b(pro)s(cedure)f(ends)g(in)f (\014nitely)f(man)m(y)i(steps,)h(and)f(so)150 2839 y(\014nitely)c(man)m (y)g(op)s(en)g(lo)s(cally)e(Lipsc)m(hitz)i(graphs)h(are)f(constructed.) 51 b(Their)34 b(closures)h(co)m(v)m(er)h Fx(H)3740 2803 y Fr(0)3797 2839 y Fz(b)m(y)150 2960 y(construction,)d(and)g(their)f(b) s(oundary)h(is)f(t)m(w)m(o-co)s(dimensional.)296 3130 y(W)-8 b(e)29 b(carry)f(out)f(this)h(construction)g(for)f(ev)m(ery)j Fx(v)2059 3145 y Ft(i)2087 3130 y Fz(,)f(and)f(get)g(a)f(co)m(v)m (ering)i(of)e(the)h(en)m(tire)g Fx(H)20 b Fv(n)12 b Fx(H)3730 3094 y Fr(\003)3797 3130 y Fz(b)m(y)150 3250 y(\014nitely)26 b(man)m(y)h(lo)s(cally)e(Lipsc)m(hitz)i(graphs.)42 b(T)-8 b(o)27 b(get)g(the)h(sets)g Fx(H)2522 3265 y Fu(1)2561 3250 y Fz(,...,)p Fx(H)2777 3265 y Ft(N)2872 3250 y Fz(in)e (De\014nition)g(3.5)g(w)m(e)i(only)150 3371 y(need)h(to)g(mak)m(e)f (these)i(graphs)f(disjoin)m(t)e(b)m(y)i(substracting)g(the)g(closure)f (of)g(one)h(from)e(the)i(other.)p 3829 3371 4 66 v 3833 3308 59 4 v 3833 3371 V 3891 3371 4 66 v 150 3703 a Fy(App)t(endix)150 3985 y(Ac)l(kno)l(wledgemen)l(ts)150 4204 y Fz(The)44 b(authors)f(express)j(their)c(sincere)i(gratitude)e(to)h(N\023)-49 b(andor)43 b(Sim\023)-49 b(an)m(yi)42 b(and)h(Andr\023)-49 b(as)44 b(Sz)s(})-51 b(ucs)43 b(for)150 4324 y(illuminating)35 b(discussions.)66 b(Sp)s(ecial)39 b(thanks)i(to)f(K\023)-49 b(aroly)39 b(B\177)-49 b(or\177)g(oczky)-8 b(,)43 b(La)5 b(jos)40 b(R\023)-49 b(on)m(y)m(ai)40 b(and)g(Endre)150 4445 y(Szab\023)-49 b(o)37 b(for)g(supplying)g(some)g(of)f(the)i(ideas) f(that)g(w)m(ere)h(ev)m(en)m(tually)g(built)d(in)m(to)i(the)g(pro)s (ofs)g(of)g(the)150 4565 y(pap)s(er.)52 b(N.)35 b(Cherno)m(v)i(w)m(as)f (partially)c(supp)s(orted)37 b(b)m(y)f(NSF)f(gran)m(t)g(DMS-9732728.)49 b(The)36 b(\014nancial)150 4685 y(supp)s(ort)i(of)e(the)i(Hungarian)e (National)f(F)-8 b(oundation)36 b(for)h(Scien)m(ti\014c)g(Researc)m(h)i (\(OTKA\),)f(gran)m(ts)150 4806 y(T26176)d(and)h(T32022;)g(and)g(of)f (the)h(Researc)m(h)h(Group)e(Sto)s(c)m(hastic)g(of)h(the)g(Hungarian)e (Academ)m(y)150 4926 y(of)e(Sciences,)i(a\016liated)d(to)h(the)h(T)-8 b(ec)m(hnical)33 b(Univ)m(ersit)m(y)g(of)f(Budap)s(est)i(is)e(also)f (ac)m(kno)m(wledged.)1976 5656 y(30)p eop %%Page: 31 31 31 30 bop 150 407 a Fy(References)150 626 y Fz([B-Ch-Sz-T\(2000\)])33 b(P)-8 b(.)33 b(B\023)-49 b(alin)m(t,)32 b(N.)h(Cherno)m(v,)i(D.)e (Sz\023)-49 b(asz,)34 b(P)-8 b(.)34 b(T\023)-49 b(oth:)45 b Fw(Ge)-5 b(ometry)35 b(of)g(Multi-dimen-)150 746 y(sional)f(Disp)-5 b(ersing)33 b(Bil)5 b(liar)-5 b(ds)p Fz(,)32 b(submitted)150 966 y([B-C-R\(1987\)])26 b(Bo)s(c)m(hnak,)k(J.,)f(Coste,)h(M.,)f(Ro)m (y)-8 b(,)29 b(M-F.:)41 b Fw(G)n(\023)-47 b(eometrie)29 b(alg)n(\023)-47 b(ebrique)29 b(r)n(\023)-47 b(eel)5 b(le)p Fz(,)27 b(Springer,)150 1087 y(1987)150 1307 y([B-R\(1998\)])38 b(L.)h(A.)h(Bunimo)m(vic)m(h)f(and)g(J.)h(Reh\023)-49 b(a)m(\024)j(cek,)42 b Fw(How)f(high)g(dimensional)e(stadia)i(lo)-5 b(ok)40 b(like)p Fz(,)150 1427 y(Comm)m(un.)j(Math.)h(Ph)m(ys.)h Fp(197)33 b Fz(\(1998\))e(277{301.)150 1647 y([F)-8 b(a\(1985\)])28 b(K.)h(F)-8 b(aconer;)31 b Fw(The)g(Ge)-5 b(ometry)33 b(of)f(F)-7 b(r)i(actal)31 b(Sets)p Fz(,)f(Cam)m(bridge)f(Univ)m(ersit) m(y)h(Press,)i(1985.)150 1987 y([F\(1969\)])f(F)-8 b(ederer,)34 b(H.)e Fw(Ge)-5 b(ometric)35 b(Me)-5 b(asur)g(e)35 b(The)-5 b(ory)p Fz(,)32 b(Springer,)h(1969)150 2207 y([H\(1974\)])27 b(E.)i(H.)f(Hague;)i Fw(What)h(c)-5 b(an)31 b(we)f(le)-5 b(arn)30 b(fr)-5 b(om)31 b(L)-5 b(or)g(entz)30 b(mo)-5 b(dels?)85 b Fz(in)27 b(T)-8 b(ransp)s(ort)28 b(Phenom-)150 2328 y(ena,)33 b(Lecture)h(Notes)f(in)f(Ph)m(ysics,)i Fp(31)p Fz(,)f(Springer,)f(\(1974\),)f(p.)44 b(377{)150 2548 y([K-S-Sz\(1990\)])95 b(A.)48 b(Kr\023)-49 b(amli,)49 b(N.)f(Sim\023)-49 b(an)m(yi)47 b(and)h(D.)f(Sz\023)-49 b(asz;)57 b Fw(A)50 b("T)-7 b(r)i(ansversal")47 b(F)-7 b(undamental)150 2668 y(The)i(or)g(em)34 b(for)g(Semi-Disp)-5 b(ersing)33 b(Bil)5 b(liar)-5 b(ds)p Fz(,)31 b(Comm.)42 b(Math.)i(Ph)m(ys.)h Fp(129)p Fz(,)33 b(535{560,)e(\(1990\).)150 2888 y([L-W\(1995\)])74 b(C.)39 b(Liv)m(erani)e(and)h(M.)g(W)-8 b(o)5 b(jtk)m(o)m(wski;)42 b Fw(Er)-5 b(go)g(dicity)39 b(in)h(Hamiltonian)f(Systems)p Fz(,)f(Dy-)150 3009 y(namics)32 b(Rep)s(orted)g Fp(4)h Fz(\(New)g(series\),)h(130{202,)d(\(1995\).)150 3229 y([M\(1964\)])f(Milnor,)g(J.)h Fw(On)h(the)h(Betti)h(numb)-5 b(er)32 b(of)h(r)-5 b(e)g(al)33 b(varieties)p Fz(,)d(Pro)s(c.)43 b(Amer.)g(Math.)g(So)s(c.)g Fp(15)p Fz(,)150 3349 y(275-280,)31 b(\(1964\))150 3569 y([Sh\(1974\)])h(Shafarevic)m(h,)h(I.)g(R.,)f Fw(Basic)i(A)n(lgebr)-5 b(aic)34 b(Ge)-5 b(ometry)p Fz(,)33 b(Springer,)f(1974)150 3789 y([Sim\(2000\)])e(N.)j(Sim\023)-49 b(an)m(yi)31 b(on)h(h)m(yp)s(erb)s(olicit)m(y)g(of)g(cylindrical)e (billiars,)g(to)i(app)s(ear...)150 4009 y([Sim\(2001\)])e(N.)j(Sim\023) -49 b(an)m(yi)31 b(on)h(Boltzmann-Sinai)e(h)m(yp)s(othesis)j(for)f (hard)h(disks,)g(submitted..)150 4229 y([S-Sz\(1999\)])80 b(N.)41 b(Sim\023)-49 b(an)m(yi)39 b(and)i(D.)f(Sz\023)-49 b(asz;)46 b Fw(Har)-5 b(d)42 b(Bal)5 b(l)42 b(Systems)g(ar)-5 b(e)42 b(Completely)f(Hyp)-5 b(erb)g(olic)p Fz(,)150 4349 y(Annals)32 b(of)g(Mathematics,)h Fp(149)f Fz(35{96)g(\(1999\).) 150 4569 y([S\(1970\)])66 b(Y)-8 b(a.G.)32 b(Sinai;)g Fw(Dynamic)-5 b(al)34 b(Systems)h(with)h(Elastic)f(R)-5 b(e\015e)g(ctions)p Fz(,)33 b(Russian)g(Mathemat-)150 4690 y(ical)e(Surv)m(eys,)k Fp(\(2\))h(25)p Fz(,)d(137{189,)e (\(1970\).)150 4910 y([S-Ch\(1987\)])78 b(Y)-8 b(a.)64 b(G.)39 b(Sinai)f(and)h(N.)h(Cherno)m(v;)k Fw(Er)-5 b(go)g(dic)41 b(Pr)-5 b(op)g(erties)41 b(of)g(Certain)f(Systems)h(of)150 5030 y(2{D)34 b(Discs)g(and)g(3{D)g(Bal)5 b(ls.)p Fz(,)32 b(Russain)g(Mathematical)f(Surv)m(eys,)k Fp(\(3\))h(42)p Fz(,)d(181{201,)e(\(1987\).)150 5250 y([Sz\(1994\)])h(D.)f(Sz\023)-49 b(asz;)34 b Fw(The)f(K-Pr)-5 b(op)g(erty)35 b(of)f(\\Ortho)-5 b(gonal")33 b(Cylindric)h(Bil)5 b(liar)-5 b(ds)p Fz(,)31 b(Comm.)42 b(Math.)150 5371 y(Ph)m(ys.)j Fp(160)p Fz(,)33 b(581{597,)e(\(1994\).)1976 5656 y(31)p eop %%Page: 32 32 32 31 bop 150 407 a Fz([Sz\(2000\)])31 b Fw(Har)-5 b(d)33 b(Bal)5 b(l)33 b(Systems)g(and)g(the)h(L)-5 b(or)g(entz)33 b(gas)p Fz(,)e(D.)g(Sz\023)-49 b(asz)32 b(ed.,)g(Encyclop)s(edia)f(of)g (Mathe-)150 527 y(matical)f(Sciences,)k Fp(101)p Fz(,)f(Springer)f (\(2000\).)150 747 y([St\(1973\)])g(Stew)m(art,)h(I.)g Fw(Galois)i(The)-5 b(ory)p Fz(,)32 b(Chapman)g(and)h(Hill,)d(London,)j (1973.)1976 5656 y(32)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF ---------------0107060756160--