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TD[(the)-190(b)19(urden)-189(of)-190(memory)-190(management,)-202(eliminates)-190(most)-190(memory)-190(leaks,)]TJ 0 -10.46 TD[(and)-190(impro)14(v)15(es)-189(modularity)64(,)-201(while)-190(pre)24(v)15(enting)-189(accidental)-190(memory)-190(o)14(v)15(er)20(-)]TJ 0 -10.46 TD[(writes)-227(\(\223dangling)-226(pointers\224\))-227([50,)-231(59].)-302(Because)-227(of)-226(these)-227(adv)24(antages,)]TJ 0 -10.46 TD[(g)4(arbage)-289(collection)-291(has)-290(been)-290(incorporated)-290(as)-291(a)-290(feature)-290(of)-291(a)-290(number)]TJ 0 -10.45 TD[(of)-250(mainstream)-250(programming)-250(languages.)]TJ 8.97 -10.46 TD[(Garbage)-320(collection)-320(can)-320(impro)14(v)15(e)-320(programmer)-320(producti)24(vity)-319([48],)]TJ -8.97 -10.46 TD[(b)19(ut)-286(its)-286(impact)-287(on)-286(performance)-287(is)-286(dif)24(\002cult)-286(to)-287(quantify)64(.)-418(Pre)24(vious)-286(re-)]TJ 0 -10.46 TD[(searchers)-353(ha)19(v)15(e)-351(measured)-353(the)-353(runtime)-353(performance)-352(and)-353(space)-353(im-)]TJ 0 -10.46 TD[(pact)-225(of)]TJ/F8 8.96 Tf 26.44 0 TD[(conservative)]TJ/F6 8.96 Tf 45.3 0 TD[(,)-230(non-cop)9(ying)-224(g)4(arbage)-224(collection)-225(in)-225(C)-225(and)-226(C++)]TJ -71.74 -10.45 TD[(programs)-200([19,)-211(62].)-293(F)14(or)-199(these)-201(programs,)-210(comparing)-200(the)-201(performance)]TJ 0 -10.46 TD[(of)-219(e)14(xplicit)-219(memory)-219(management)-219(to)-219(conserv)24(ati)25(v)15(e)-219(g)4(arbage)-218(collection)]TJ 0 -10.46 TD[(is)-332(a)-331(matter)-332(of)-332(linking)-331(in)-332(a)-332(library)-332(lik)9(e)-330(the)-332(Boehm-Demers-W)79(eiser)]TJ 0 -10.46 TD[(collector)-247([14].)-309(Unfortunately)64(,)-246(measuring)-247(the)-246(performance)-247(trade-of)24(f)]TJ 0 -10.46 TD[(in)-306(languages)-305(d)-1(esigned)-305(for)-306(g)4(arbage)-305(collection)-306(is)-305(not)-306(so)-306(straightfor)19(-)]TJ 0 -10.45 TD[(w)9(ard.)-392(Because)-277(programs)-278(written)-278(in)-277(these)-278(languages)-278(do)-277(not)-278(e)14(xplic-)]TJ 0 -10.46 TD[(itly)-322(deallocate)-322(objects,)-340(one)-322(cannot)-323(simply)-322(replace)-322(g)4(arbage)-321(collec-)]TJ 0 -10.46 TD[(tion)-251(with)-251(an)-251(e)13(xplicit)-250(memory)-251(manager)54(.)-312(Extrapolating)-252(the)-251(results)-251(of)]TJ 0 -10.46 TD[(studies)-284(with)-283(conserv)24(ati)25(v)15(e)-283(collectors)-284(is)-284(impossible)-283(because)-284(precise,)]TJ 0 -10.45 TD[(relocating)-355(g)4(arbage)-354(collectors)-354(\(suitable)-355(only)-355(for)-355(g)4(arbage-collected)]TJ 0 -10.46 TD[(languages\))-190(consistently)-190(outperform)-190(conserv)24(ati)25(v)15(e,)-201(non-relocating)-190(g)4(ar)20(-)]TJ 0 -10.46 TD[(bage)-250(collectors)-250([10,)-250(12].)]TJ 8.97 -10.46 TD[(It)-286(is)-287(possible)-286(to)-287(measure)-287(the)-286(costs)-287(of)-287(g)4(arbage)-286(collection)-286(acti)24(vity)]TJ -8.97 -10.46 TD[(\(e.g.,)-371(tracing)-347(and)-346(cop)9(ying\))-346([10,)-371(20,)-371(30,)-371(36,)-371(56])-347(b)19(ut)-345(it)-347(is)-347(impossi-)]TJ 0 -10.45 TD[(ble)-258(to)-258(subtract)-258(g)4(arbage)-257(collection')54(s)-258(ef)24(fect)-257(on)-258(mutator)-258(performance.)]TJ 0 -10.46 TD[(Garbage)-253(collection)-253(alters)-253(application)-253(beha)19(vior)-252(both)-253(by)-253(visiting)-253(and)]TJ 0 -10.46 TD[(reor)17(g)5(anizing)-378(memory)64(.)-698(It)-379(also)-379(de)14(grades)-379(locality)64(,)-411(especially)-379(when)]TJ 0 -10.46 TD[(ph)4(ysical)-321(memory)-321(is)-322(scarce)-322([61].)-525(Subtracting)-322(the)-321(costs)-322(of)-322(g)4(arbage)]TJ 0 -10.46 TD[(collection)-291(also)-290(ignores)-291(the)-290(impro)14(v)15(ed)-290(locality)-291(that)-290(e)14(xplicit)-290(memory)]TJ 0 -10.45 TD[(managers)-362(can)-363(pro)14(vide)-361(by)-362(immediately)-362(rec)14(ycling)-362(just-freed)-362(mem-)]TJ 0 -10.46 TD[(ory)-369([53,)-400(55,)-399(57,)-400(58].)-668(F)14(or)-369(all)-369(these)-370(reasons,)-399(the)-370(costs)-369(of)-370(precise,)]TJ ET endstream endobj 38 0 obj << /F1 10 0 R /F2 13 0 R /F3 16 0 R /F7 28 0 R /F6 25 0 R /F8 31 0 R /F9 34 0 R >> endobj 6 0 obj << /ProcSet[/PDF/Text/ImageC] /Font 38 0 R >> endobj 41 0 obj << /Length 46874 /Filter/FlateDecode /Name/Im1 /Type/XObject /Subtype/Form /BBox[0 0 2384 3370] /FormType 1 /Matrix[1 0 0 1 0 0] /Resources<< /ProcSet[/PDF] >> >> stream xKr=?P 79lNno{KȈ럔#9[=婟5͏TGTKL9_RK{h?#ʟ+/^{|G(3ל?*u߇`mןǟ?)Y}}\mfin5ǧ烅#ǕisF>s?#* yx{| ?oͱOKs8g,5J3fq8 @7nZy䊥yO/{FW*8gvI >ӺG\+ٸ @ Q'dmrs4AׄA{شm93K^=*DguMZd}_h {eܷ2?Ѭvu}S>}b굯rNn\N)h"bD{2ΰpO5\{l5{Nglϲ0g/ؓ7?6G'KwP^=RR>g&$v .U!:XHfbύ%نwsf¥ Yī96lxХk {m0G˺qچ}#6¦k}Dh)rㇸQ;VdWt/򳗾V"ל=vsO>Z.nC@ JYg-g>+rϾ߀ ( ߻&ط>I|y%!ĉ}Я/ 8`` ˬgq>]R|㺂 {qA|t&N qK4BӸ'j|]UԾA8|ݖ)DQ+ e:0JʂJYT1upLM8Ylu-bY2`G^@g*%%i.WSpg_j1y`K{B`엇.>M f 5}BeFO yJD- 8QNOl9H t #= PT)\9.  p/Z 6h/@8Jm{8CNA{Ee!C\J/ o {_;dGʋR'5M} T6 GxiPjzpI'1mb{AntɅ"!pg.s { 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TD[(The)-324(remainder)-325(of)-326(this)-325(paper)-325(is)-325(or)17(g)5(anized)-324(as)-325(follo)24(ws:)-459(Section)-325(2)]TJ -8.97 -10.46 TD[(presents)-407(the)-406(oracular)-407(memory)-407(management)-406(f)-1(rame)24(w)10(ork)-405(in)-407(detail,)]TJ 0 -10.46 TD[(and)-243(Section)-242(3)-243(discusses)-243(its)-242(implications)-243(and)-243(limitations.)-307(Sections)-243(4)]TJ 0 -10.46 TD[(and)-220(5)-219(present)-220(e)14(xperimental)-218(methodology)-220(and)-220(results)-219(comparing)-220(e)14(x-)]TJ 0 -10.45 TD[(plicit)-288(memory)-288(management)-288(to)-288(a)-288(range)-289(of)-288(dif)24(ferent)-287(g)4(arbage)-287(collec-)]TJ 0 -10.46 TD[(tors.)-483(Section)-308(6)-307(addresses)-308(related)-308(w)9(ork,)-321(Section)-308(7)-307(discusses)-308(future)]TJ 0 -10.46 TD[(directions,)-250(and)-250(Section)-250(8)-250(concludes.)]TJ/F7 8.96 Tf 0 -16.73 TD[(2.)-1000(Oracular)-250(Memory)-250(Management)]TJ/F6 8.96 Tf 0 -10.99 TD[(Figure)-211(1)-210(presents)-211(an)-210(o)14(v)15(ervie)25(w)-210(of)-210(the)-211(oracular)-210(memory)-211(management)]TJ 0 -10.45 TD[(frame)24(w)10(ork.)-628(As)-356(Figure)-357(1\(a\))-356(sho)24(ws,)-382(it)-356(\002rst)-357(e)14(x)15(ecutes)-355(the)-357(Ja)19(v)25(a)-355(pro-)]TJ 0 -10.46 TD[(gram)-334(to)-334(calculate)-334(object)-334(lifetimes)-335(and)-334(generate)-334(the)-334(program)-334(heap)]TJ 0 -10.46 TD[(trace.)-406(The)-282(system)-282(processes)-282(the)-283(program)-282(heap)-282(trace)-282(uses)-282(the)-282(Mer)19(-)]TJ 0 -10.46 TD[(lin)-417(algorithm)-417(to)-417(compute)-417(object)-418(reachability)-417(times)-417(and)-417(generate)]TJ 0 -10.45 TD[(the)-275(reachability-based)-275(oracle.)-386(The)-275(lifetime-based)-275(oracle)-275(comes)-275(di-)]TJ 0 -10.46 TD[(rectly)-270(from)-270(the)-270(lifetimes)-270(computed)-270(during)-270(the)-270(pro\002ling)-270(run.)-370(Using)]TJ 0 -10.46 TD[(these)-278(oracles,)-285(the)-279(oracular)-278(memory)-278(manager)-278(e)14(x)15(ecutes)-278(the)-278(program)]TJ 0 -10.46 TD[(as)-278(sho)24(wn)-277(in)-278(Figure)-278(1\(b\),)-285(allocating)-279(objects)-278(using)-278(calls)-278(to)]TJ/F9 8.96 Tf 206.77 0 TD[(malloc)]TJ/F6 8.96 Tf -206.77 -10.46 TD[(and)-383(in)39(v)20(oking)]TJ/F9 8.96 Tf 51.16 0 TD[(free)]TJ/F6 8.96 Tf 24.94 0 TD[(on)-383(objects)-383(when)-383(directed)-384(by)-383(the)-383(oracle)-383(\(see)]TJ -76.1 -10.45 TD[(Figure)-352(2\).)-616(Because)-352(trace)-352(generation)-353(tak)9(es)-351(place)-352(inside)-352(the)-352(simu-)]TJ 0 -10.46 TD[(lator)-311(and)-311(oracle)-311(generation)-311(happens)-311(of)24(f-line,)-326(the)-311(system)-311(measures)]TJ 0 -10.46 TD[(only)-250(the)-250(costs)-250(of)-250(allocation)-250(and)-250(deallocation.)]TJ 8.97 -10.46 TD[(Belo)25(w)-224(we)-225(describe)-225(these)-225(steps)-225(in)-225(detail)-225(and)-225(discuss)-225(our)-225(solutions)]TJ -8.97 -10.46 TD[(to)-238(the)-238(challenges)-238(of)-238(generating)-238(our)-238(oracles,)-241(detecting)-238(memory)-238(allo-)]TJ 0 -10.45 TD[(cation)-298(operations,)-311(and)-298(inserting)-299(e)14(xplicit)-297(deallocation)-299(calls)-298(without)]TJ 0 -10.46 TD[(distorting)-223(program)-223(e)14(x)15(ecution.)-300(W)79(e)-222(discuss)-223(the)-223(implications)-223(and)-223(lim-)]TJ 0 -10.46 TD[(itations)-250(of)-250(our)-250(approach)-250(in)-250(Section)-250(3.)]TJ/F7 8.96 Tf 0 -16.73 TD[(2.1)-1000(Step)-250(One:)-310(Data)-250(Collection)-250(and)-250(Pr)17(ocessing)]TJ/F6 8.96 Tf 0 -13 TD[(F)14(or)-368(its)-369(Ja)19(v)25(a)-368(platform,)-399(the)-369(oracular)-369(memory)-369(manager)-369(uses)-369(an)-369(e)14(x-)]TJ 0 -10.46 TD[(tended)-316(v)14(ersion)-315(of)-317(Jik)9(es)-315(R)79(VM)-315(v)14(ersion)-315(2.3.2)-316(con\002gured)-317(to)-316(produce)]TJ 0 -10.46 TD[(Po)24(werPC)-311(Linux)-312(code)-312([2,)-327(3].)-496(Jik)9(es)-310(is)-312(a)-312(widely-used)-312(research)-312(plat-)]TJ 0 -10.46 TD[(form)-262(written)-263(almost)-262(entirely)-262(in)-263(Ja)19(v)25(a.)-346(A)-262(k)9(e)15(y)-262(adv)24(antage)-261(of)-263(Jik)9(es)-261(and)]TJ 0 -10.45 TD[(its)-262(accompan)14(ying)-261(Memory)-262(Management)-262(T)79(oolkit)-262(\(MMTk\))-262(is)-262(that)-262(it)]TJ ET q 0.441257 0 0 0.441257 249.09 -581.06 cm /Im3 Do Q BT/F7 8.96 Tf 244.74 -601.48 TD[(Figur)17(e)-325(2:)-463(Object)-326(lifetime.)-539(The)-326(lifetime-based)-326(oracle)-327(fr)17(ees)-325(ob-)]TJ 0 -10.45 TD[(jects)-481(after)-481(their)-481(last)-481(use)-481(\(the)-481(earliest)-480(safe)-481(point\),)-539(while)-481(the)]TJ 0 -10.46 TD[(r)17(eachability-based)-489(oracle)-490(fr)17(ees)-489(them)-491(after)-490(they)-490(become)-490(un-)]TJ 0 -10.46 TD[(r)17(eachable)-314(\(the)-315(last)-315(possible)-315(moment)-316(an)-315(explicit)-315(memory)-315(man-)]TJ 0 -10.46 TD[(ager)-250(could)-250(fr)17(ee)-249(them\).)]TJ ET endstream endobj 65 0 obj << /F6 25 0 R /F7 28 0 R /F9 34 0 R /F8 31 0 R >> endobj 66 0 obj << /Im1 41 0 R /Im2 42 0 R /Im3 43 0 R >> endobj 40 0 obj << /ProcSet[/PDF/Text/ImageC] /Font 65 0 R /XObject 66 0 R >> endobj 69 0 obj << /Length 17185 >> stream 0.00 g 0.00 G BT/F6 8.96 Tf -18.2 8.24 TD[(allo)24(ws)-344(us)-345(to)-345(use)-345(a)-345(number)-345(of)-346(g)4(arbage)-344(collection)-345(algorithms)-345([11].)]TJ 0 -10.46 TD[(The)-346(oracular)-347(memory)-346(manager)-347(e)14(x)15(ecutes)-345(inside)-346(Dynamic)-347(Simple-)]TJ 0 -10.46 TD[(Scalar)-384(\(DSS\))-383([39],)-418(an)-384(e)14(xtension)-382(of)-384(the)-384(SimpleScalar)-384(superscalar)]TJ 0 -10.46 TD[(architectural)-382(simulator)-383([15])-382(that)-383(permits)-382(the)-383(use)-382(of)-383(dynamically-)]TJ 0 -10.45 TD[(generated)-250(code.)]TJ/F7 8.96 Tf 0 -16.55 TD[(Repeatable)-250(Runs)]TJ/F6 8.96 Tf 0 -13 TD[(Because)-438(the)-439(oracular)-438(memory)-438(manager)-439(uses)-438(allocation)-438(order)-439(to)]TJ 0 -10.46 TD[(identify)-352(objects,)-379(we)-352(must)-353(ensure)-352(that)-353(the)-353(sequence)-352(of)-353(allocations)]TJ 0 -10.46 TD[(is)-353(identical)-353(from)-353(run)-353(to)-353(run.)-618(W)79(e)-352(tak)9(e)-352(a)-353(number)-353(of)-353(steps)-353(in)-353(Jik)9(es)]TJ 0 -10.46 TD[(R)79(VM)-426(and)-428(the)-428(simulator)-428(to)-427(ensure)-428(repeatable)-428(runs.)-843(W)79(e)-427(use)-428(the)]TJ 0 -10.45 TD[(\223f)9(ast\224)-390(con\002guration)-391(of)-391(Jik)9(es)-390(R)79(VM,)-390(which)-392(optimizes)-391(as)-391(much)-391(of)]TJ 0 -10.46 TD[(the)-335(system)-335(as)-336(possible)-335(and)-335(compiles)-336(it)-335(into)-335(a)-335(preb)19(uilt)-335(virtual)-335(ma-)]TJ 0 -10.46 TD[(chine.)-292(Jik)9(es)-195(R)79(VM)-195(uses)-197(timer)19(-based)-195(sampling)-196(at)-196(runtime)-197(to)-196(optimize)]TJ 0 -10.46 TD[(methods)-363(once)-364(the)14(y)-362(reach)-364(a)-363(certain)-364(\223hotness\224)-363(le)24(v)15(el.)-649(T)79(o)-363(eliminate)]TJ 0 -10.46 TD[(this)-233(considerable)-232(source)-233(of)-233(nondeterminism,)-236(we)-233(use)-233(a)]TJ/F8 8.96 Tf 192.73 0 TD[(pseudoadap-)]TJ -192.73 -10.45 TD[(tive)]TJ/F6 8.96 Tf 16.1 0 TD[(methodology)-351([38,)-377(49],)-377(which)-351(optimizes)-352(only)-351(\223hot\224)-352(methods,)]TJ -16.1 -10.46 TD[(as)-378(determined)-378(from)-379(the)-378(mean)-378(of)-378(5)-378(runs.)-695(W)79(e)-377(also)-379(emplo)9(y)-377(deter)19(-)]TJ 0 -10.46 TD[(ministic)-314(thread)-315(switching,)-330(which)-314(switches)-315(threads)-314(based)-314(upon)-315(the)]TJ 0 -10.46 TD[(number)-314(of)-314(methods)-314(e)14(x)15(ecuted)-313(rather)-314(than)-314(at)-314(re)14(gular)-313(time)-314(interv)24(als.)]TJ 0 -10.45 TD[(Finally)64(,)-289(we)-282(modify)-282(DSS)-281(to)-282(update)-282(the)-282(simulated)-282(OS)-282(time)-282(and)-282(re)14(g-)]TJ 0 -10.46 TD[(ister)-299(clocks)-300(deterministically)64(.)-458(Rather)-299(than)-300(use)-300(c)14(ycle)-298(or)-300(instruction)]TJ 0 -10.46 TD[(counts,)-300(which)-291(will)-290(change)-291(when)-290(we)-291(add)-290(calls)-290(to)]TJ/F9 8.96 Tf 176.63 0 TD[(free)]TJ/F6 8.96 Tf 21.51 0 TD[(,)-300(our)-290(modi-)]TJ -198.14 -10.46 TD[(\002cations)-296(adv)24(ance)-295(these)-296(clocks)-297(a)-296(\002x)14(ed)-295(amount)-296(at)-296(each)-297(system)-296(call.)]TJ 0 -10.46 TD[(These)-250(changes)-250(ensure)-250(that)-250(all)-250(runs)-250(are)-250(perfectly)-250(repeatable.)]TJ/F7 8.96 Tf 0 -16.55 TD[(T)73(racing)-249(f)24(or)-249(the)-250(Li)9(v)10(eness-Based)-249(Oracle)]TJ/F6 8.96 Tf 0 -12.99 TD[(During)-225(a)-225(pro\002ling)-225(run,)-230(the)-225(simulator)-226(calculates)-225(object)-225(lifetimes)-225(and)]TJ 0 -10.46 TD[(generates)-270(program)-271(heap)-270(traces)-271(for)-270(later)-271(use.)-371(The)-270(simulator)-271(obtains)]TJ 0 -10.46 TD[(per)19(-object)-313(lifetime)-313(information)-314(by)-314(recording)-314(the)-313(location)-314(of)-314(e)24(v)15(ery)]TJ 0 -10.46 TD[(allocated)-267(object.)-362(At)-268(each)-267(memory)-267(access,)-272(the)-267(simulator)-268(then)-267(looks)]TJ 0 -10.46 TD[(up)-313(the)-314(object)-313(being)-314(used)-313(and)-314(updates)-313(its)-314(latest)-313(lifetime)-313(\(in)-314(alloca-)]TJ 0 -10.45 TD[(tion)-381(time\).)-703(Unfortunately)64(,)-413(this)-381(does)-381(not)-381(capture)-381(e)24(v)15(ery)-380(use)-381(of)-381(an)]TJ 0 -10.46 TD[(object.)-755(F)14(or)-397(e)14(xample,)-434(testing)-398(for)-398(equality)-399(is)-398(a)-398(use)-398(of)-399(both)-398(ar)17(gu-)]TJ 0 -10.46 TD[(ment)-227(objects,)-231(b)19(ut)-226(Ja)19(v)25(a')55(s)-226(equality)-227(operation)-227(compares)-227(addresses)-227(and)]TJ 0 -10.46 TD[(does)-271(not)-271(e)14(xamine)-271(memory)-271(locations.)-374(T)79(o)-270(capture)-271(these)-272(object)-271(uses,)]TJ 0 -10.45 TD[(we)-294(also)-294(mark)-294(all)-294(root-referenced)-294(objects)-294(as)-294(being)-294(in)-295(use.)-442(This)-294(e)14(x-)]TJ 0 -10.46 TD[(tended)-215(de\002nition)-215(potentially)-215(o)14(v)15(erestimates)-214(object)-215(lifetimes)-215(slightly)64(,)]TJ 0 -10.46 TD[(b)19(ut)-249(eliminates)-250(the)-250(risk)-250(of)-250(freeing)-250(an)-250(object)-250(too)-250(early)64(.)]TJ 8.97 -10.46 TD[(The)-397(system)-397(also)-398(preserv)14(es)-396(objects)-397(that)-398(we)-397(feel)-398(a)-397(programmer)]TJ -8.97 -10.46 TD[(could)-297(not)-296(reasonably)-297(free.)-450(F)14(or)-296(instance,)-308(while)-297(our)-296(system)-297(can)-297(de-)]TJ 0 -10.45 TD[(tect)-253(the)-252(last)-253(use)-253(of)-252(code)-253(and)-253(type)-252(information,)-254(these)-252(objects)-253(are)-253(not)]TJ 0 -10.46 TD[(something)-364(that)-363(a)-364(de)24(v)15(eloper)-362(w)9(ould)-363(be)-364(able)-363(to)-364(deallocate)-364(in)-363(a)-364(real)]TJ 0 -10.46 TD[(program.)-488(Similarly)64(,)-324(our)-309(system)-310(will)-309(not)-310(free)-309(objects)-310(used)-309(to)-310(opti-)]TJ 0 -10.46 TD[(mize)-318(class)-317(loading.)-513(These)-318(optimizations)-318(include)-317(objects)-318(mapping)]TJ 0 -10.46 TD[(class)-307(member)39(,)-320(string)-307(names,)-321(and)-307(type)-307(information)-307(in)-307(class)-307(\002les)-307(to)]TJ 0 -10.45 TD[(their)-225(Jik)9(es)-224(internal)-225(representation.)-302(Other)-225(objects)-225(that)-225(a)-225(programmer)]TJ 0 -10.46 TD[(w)9(ould)-241(not)-242(free)-243(and)-242(we)-242(therefore)-243(preserv)14(e)-241(enable)-242(lazy)-242(method)-243(com-)]TJ 0 -10.46 TD[(pilation)-272(and)-271(reduce)-272(the)-272(time)-272(spent)-272(scanning)-271(jar)-272(\002les.)-375(At)-272(the)-272(end)-272(of)]TJ 0 -10.46 TD[(the)-216(pro\002ling)-215(run,)-223(the)-216(system)-215(preserv)14(es)-215(all)-216(of)-216(these)-215(objects)-216(and)-216(those)]TJ 0 -10.45 TD[(to)-305(which)-304(t)-1(hese)-304(objects)-305(refer)-305(by)-305(e)14(xtending)-304(their)-304(lifetime)-305(to)-305(the)-305(end)]TJ 0 -10.46 TD[(of)-250(the)-250(program.)]TJ/F7 8.96 Tf 0 -16.55 TD[(T)73(racing)-249(f)24(or)-249(the)-250(Reachability-Based)-250(Oracle)]TJ/F6 8.96 Tf 0 -13 TD[(T)79(o)-189(generate)-190(the)-190(reachability-based)-190(oracle,)-202(we)-190(compute)-190(object)-190(reach-)]TJ 0 -10.46 TD[(ability)-267(information)-268(ef)24(\002ciently)-266(and)-267(precisely)-268(using)-267(the)-267(Merlin)-268(algo-)]TJ 0 -10.46 TD[(rithm)-373([33,)-404(34].)-679(Our)-373(of)24(f-line)-372(implementation)-373(of)-374(the)-373(Merlin)-373(algo-)]TJ 0 -10.45 TD[(rithm)-412(operates)-411(by)-412(analyzing)-412(a)-411(program)-412(heap)-412(trace.)-795(During)-412(this)]TJ 0 -10.46 TD[(trace)-328(processing,)-347(the)-328(Merlin)-328(algorithm)-328(updates)-328(a)-328(timestamp)-328(asso-)]TJ 0 -10.46 TD[(ciated)-276(with)-276(an)-276(object)-276(whene)24(v)15(er)-275(it)-276(might)-276(become)-276(unreachable,)-283(e.g.,)]TJ 0 -10.46 TD[(when)-290(a)-290(pointer)-290(to)-290(it)-290(is)-290(o)14(v)15(erwritten.)-429(Once)-290(the)-290(entire)-290(trace)-290(has)-290(been)]TJ 0 -10.46 TD[(processed,)-248(it)-248(generates)-247(\223death)-248(records\224,)-248(a)-248(list)-248(ordered)-247(by)-248(allocation)]TJ 0 -10.45 TD[(time)-250(that)-250(indicates)-250(which)-250(objects)-250(become)-250(unreachable)-250(at)-250(that)-250(time.)]TJ 8.97 -10.46 TD[(A)-293(k)9(e)15(y)-294(dif)24(\002culty)-293(is)-294(capturing)-294(all)-294(the)-295(information)-294(required)-294(by)-294(the)]TJ 253.97 653.37 TD[(Merlin)-358(algorithm)-357(without)-358(af)24(fecting)-357(program)-357(e)14(x)15(ecution.)-632(W)79(e)-357(need)]TJ 0 -10.46 TD[(to)-316(e)13(x)15(ecute)-315(the)-317(same)-316(code)-317(during)-316(step)-317(one)-316(\(trace)-317(collection\))-316(as)-317(we)]TJ 0 -10.46 TD[(do)-398(during)-398(step)-398(tw)9(o)-397(\(simulation\).)-754(Otherwise,)-435(memory)-398(allocation)]TJ 0 -10.46 TD[(and)-256(object)-255(lifetimes)-256(will)-256(be)-255(dif)24(ferent,)-256(as)-256(the)-256(compiler)-255(will)-256(generate)]TJ 0 -10.45 TD[(dif)24(ferently-sized)-359(chunks)-361(of)-360(code.)-642(Ho)24(we)25(v)15(er)40(,)-387(there)-360(is)-360(a)-361(signi\002cant)]TJ 0 -10.46 TD[(amount)-308(of)-307(information)-308(that)-307(the)-308(Merlin)-307(algorithm)-308(requires,)-322(includ-)]TJ 0 -10.46 TD[(ing)-290(all)-289(object)-290(allocations,)-300(intra-heap)-290(pointer)-289(updates,)-300(and)-290(program)]TJ 0 -10.46 TD[(roots)-231(whene)24(v)15(er)-231(an)-231(object)-232(could)-231(be)-232(freed.)-304(It)-231(is)-232(not)-231(possible)-231(to)-232(obtain)]TJ 0 -10.46 TD[(this)-250(information)-250(from)-250(the)-250(normal)-250(optimized)-250(code.)]TJ 8.97 -10.45 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ET 0.4 w 177.73 -261.61 m 177.73 -251.15 l S BT 189.34 -258.47 TD[(100%)]TJ ET 0.4 w 221.85 -261.61 m 221.85 -251.15 l S 0.4 w -18.2 -272.07 m -18.2 -261.61 l S BT -2.36 -268.93 TD[(4.00)]TJ ET 0.4 w 29.16 -272.07 m 29.16 -261.61 l S BT 42.39 -268.93 TD[(555%)]TJ ET 0.4 w 76.54 -272.07 m 76.54 -261.61 l S BT 92.09 -268.93 TD[(100%)]TJ ET 0.4 w 128.56 -272.07 m 128.56 -261.61 l S 0.4 w 130.35 -272.07 m 130.35 -261.61 l S BT 143.59 -268.93 TD[(668%)]TJ ET 0.4 w 177.73 -272.07 m 177.73 -261.61 l S BT 192.7 -268.93 TD[(99%)]TJ ET 0.4 w 221.85 -272.07 m 221.85 -261.61 l S 0.4 w -18.2 -272.27 m 221.85 -272.27 l S BT/F7 8.96 Tf -18.2 -289.6 TD[(T)91(able)-311(4:)-435(Geometric)-312(mean)-312(of)-313(memory)-312(f)24(ootprints)-311(and)-313(runtimes)]TJ 0 -10.45 TD[(f)24(or)-211(GenMS)-212(v)9(ersus)-210(Lea.)-298(The)-212(heap)-211(sizes)-212(ar)17(e)-211(multiples)-212(of)-212(the)-212(min-)]TJ 0 -10.46 TD[(imum)-250(amount)-250(r)17(equir)18(ed)-249(to)-250(run)-250(with)-250(GenMS.)]TJ ET 0.4 w -18.2 -324.89 m 230.92 -324.89 l S 0.4 w -18.2 -335.55 m -18.2 -325.09 l S 0.4 w 46.12 -335.55 m 46.12 -325.09 l S 0.4 w 46.12 -335.55 m 46.12 -325.09 l S BT 94.82 -332.41 TD[(MSExplicit)-249(vs.)-250(GenMS)]TJ ET 0.4 w 230.92 -335.55 m 230.92 -325.09 l S 0.4 w -18.2 -346.01 m -18.2 -335.55 l S 0.4 w 46.12 -346.01 m 46.12 -335.55 l S BT 62.12 -342.87 TD[(w/)-249(Reachability)]TJ ET 0.4 w 137.62 -346.01 m 137.62 -335.55 l S 0.4 w 139.42 -346.01 m 139.42 -335.55 l S BT 163.22 -342.87 TD[(w/)-249(Li)9(v)10(eness)]TJ ET 0.4 w 230.92 -346.01 m 230.92 -335.55 l S 0.4 w -18.2 -346.2 m 230.92 -346.2 l S 0.4 w -18.2 -356.86 m -18.2 -346.4 l S BT -12.82 -353.72 TD[(Benchmark)]TJ ET 0.4 w 46.12 -356.86 m 46.12 -346.4 l S BT 51.5 -353.72 TD[(F)25(ootprint)]TJ ET 0.4 w 93.5 -356.86 m 93.5 -346.4 l S BT 98.88 -353.72 TD[(Runtime)]TJ ET 0.4 w 137.62 -356.86 m 137.62 -346.4 l S 0.4 w 139.42 -356.86 m 139.42 -346.4 l S BT 144.79 -353.72 TD[(F)24(ootprint)]TJ ET 0.4 w 186.8 -356.86 m 186.8 -346.4 l S BT 192.18 -353.72 TD[(Runtime)]TJ ET 0.4 w 230.92 -356.86 m 230.92 -346.4 l S 0.4 w -18.2 -357.06 m 230.92 -357.06 l S 0.4 w -18.2 -367.72 m -18.2 -357.26 l S 0.4 w -12.34 -364.38 m -9.95 -364.38 l S BT/F2 7.97 Tf -9.95 -364.58 TD[(201)]TJ ET 0.4 w 3.82 -364.38 m 6.21 -364.38 l S BT 6.21 -364.58 TD[(compress)]TJ ET 0.4 w 46.12 -367.72 m 46.12 -357.26 l S BT/F6 8.96 Tf 59.35 -364.58 TD[(162%)]TJ ET 0.4 w 93.5 -367.72 m 93.5 -357.26 l S BT 105.11 -364.58 TD[(106%)]TJ ET 0.4 w 137.62 -367.72 m 137.62 -357.26 l S 0.4 w 139.42 -367.72 m 139.42 -357.26 l S BT 152.65 -364.58 TD[(251%)]TJ ET 0.4 w 186.8 -367.72 m 186.8 -357.26 l S BT 198.4 -364.58 TD[(101%)]TJ ET 0.4 w 230.92 -367.72 m 230.92 -357.26 l S 0.4 w -18.2 -378.18 m -18.2 -367.72 l S 0.4 w -12.28 -374.84 m -9.59 -374.84 l S BT/F2 8.96 Tf -9.59 -375.04 TD[(202)]TJ ET 0.4 w 5.9 -374.84 m 8.59 -374.84 l S BT 8.59 -375.04 TD[(jess)]TJ ET 0.4 w 46.12 -378.18 m 46.12 -367.72 l S BT/F6 8.96 Tf 59.35 -375.04 TD[(154%)]TJ ET 0.4 w 93.5 -378.18 m 93.5 -367.72 l S BT 105.11 -375.04 TD[(104%)]TJ ET 0.4 w 137.62 -378.18 m 137.62 -367.72 l S 0.4 w 139.42 -378.18 m 139.42 -367.72 l S BT 152.65 -375.04 TD[(165%)]TJ ET 0.4 w 186.8 -378.18 m 186.8 -367.72 l S BT 198.4 -375.04 TD[(103%)]TJ ET 0.4 w 230.92 -378.18 m 230.92 -367.72 l S 0.4 w -18.2 -388.63 m -18.2 -378.18 l S 0.4 w -12.34 -385.3 m -9.95 -385.3 l S BT/F2 7.97 Tf -9.95 -385.5 TD[(205)]TJ ET 0.4 w 3.82 -385.3 m 6.21 -385.3 l S BT 6.21 -385.5 TD[(r)10(a)30(ytr)10(ace)]TJ ET 0.4 w 46.12 -388.63 m 46.12 -378.18 l S BT/F6 8.96 Tf 59.35 -385.5 TD[(131%)]TJ ET 0.4 w 93.5 -388.63 m 93.5 -378.18 l S BT 105.11 -385.5 TD[(102%)]TJ ET 0.4 w 137.62 -388.63 m 137.62 -378.18 l S 0.4 w 139.42 -388.63 m 139.42 -378.18 l S BT 152.65 -385.5 TD[(147%)]TJ ET 0.4 w 186.8 -388.63 m 186.8 -378.18 l S BT 198.4 -385.5 TD[(100%)]TJ ET 0.4 w 230.92 -388.63 m 230.92 -378.18 l S 0.4 w -18.2 -399.09 m -18.2 -388.63 l S 0.4 w -12.28 -395.75 m -9.59 -395.75 l S BT/F2 8.96 Tf -9.59 -395.95 TD[(209)]TJ ET 0.4 w 5.9 -395.75 m 8.59 -395.75 l S BT 8.59 -395.95 TD[(db)]TJ ET 0.4 w 46.12 -399.09 m 46.12 -388.63 l S BT/F6 8.96 Tf 59.35 -395.95 TD[(112%)]TJ ET 0.4 w 93.5 -399.09 m 93.5 -388.63 l S BT 105.11 -395.95 TD[(118%)]TJ ET 0.4 w 137.62 -399.09 m 137.62 -388.63 l S 0.4 w 139.42 -399.09 m 139.42 -388.63 l S BT 152.65 -395.95 TD[(118%)]TJ ET 0.4 w 186.8 -399.09 m 186.8 -388.63 l S BT 201.76 -395.95 TD[(96%)]TJ ET 0.4 w 230.92 -399.09 m 230.92 -388.63 l S 0.4 w -18.2 -409.55 m -18.2 -399.09 l S 0.4 w -12.28 -406.21 m -9.59 -406.21 l S BT/F2 8.96 Tf -9.59 -406.41 TD[(213)]TJ ET 0.4 w 5.9 -406.21 m 8.59 -406.21 l S BT 8.59 -406.41 TD[(ja)20(v)25(ac)]TJ ET 0.4 w 46.12 -409.55 m 46.12 -399.09 l S BT/F6 8.96 Tf 59.35 -406.41 TD[(133%)]TJ ET 0.4 w 93.5 -409.55 m 93.5 -399.09 l S BT 108.47 -406.41 TD[(95%)]TJ ET 0.4 w 137.62 -409.55 m 137.62 -399.09 l S 0.4 w 139.42 -409.55 m 139.42 -399.09 l S BT 152.65 -406.41 TD[(124%)]TJ ET 0.4 w 186.8 -409.55 m 186.8 -399.09 l S BT 201.76 -406.41 TD[(93%)]TJ ET 0.4 w 230.92 -409.55 m 230.92 -399.09 l S 0.4 w -18.2 -420.01 m -18.2 -409.55 l S 0.4 w -12.28 -416.67 m -9.59 -416.67 l S BT/F2 8.96 Tf -9.59 -416.87 TD[(228)]TJ ET 0.4 w 5.9 -416.67 m 8.59 -416.67 l S BT 8.59 -416.87 TD[(jac)20(k)]TJ ET 0.4 w 46.12 -420.01 m 46.12 -409.55 l S BT/F6 8.96 Tf 59.35 -416.87 TD[(158%)]TJ ET 0.4 w 93.5 -420.01 m 93.5 -409.55 l S BT 105.11 -416.87 TD[(103%)]TJ ET 0.4 w 137.62 -420.01 m 137.62 -409.55 l S 0.4 w 139.42 -420.01 m 139.42 -409.55 l S BT 152.65 -416.87 TD[(168%)]TJ ET 0.4 w 186.8 -420.01 m 186.8 -409.55 l S BT 198.4 -416.87 TD[(105%)]TJ ET 0.4 w 230.92 -420.01 m 230.92 -409.55 l S 0.4 w -18.2 -430.46 m -18.2 -420.01 l S BT/F2 8.96 Tf -12.82 -427.33 TD[(ipsixql)]TJ ET 0.4 w 46.12 -430.46 m 46.12 -420.01 l S BT/F6 8.96 Tf 59.35 -427.33 TD[(149%)]TJ ET 0.4 w 93.5 -430.46 m 93.5 -420.01 l S BT 105.11 -427.33 TD[(100%)]TJ ET 0.4 w 137.62 -430.46 m 137.62 -420.01 l S 0.4 w 139.42 -430.46 m 139.42 -420.01 l S BT 152.65 -427.33 TD[(163%)]TJ ET 0.4 w 186.8 -430.46 m 186.8 -420.01 l S BT 201.76 -427.33 TD[(97%)]TJ ET 0.4 w 230.92 -430.46 m 230.92 -420.01 l S 0.4 w -18.2 -440.92 m -18.2 -430.46 l S BT/F2 8.96 Tf -12.82 -437.79 TD[(pseudoJBB)]TJ ET 0.4 w 46.12 -440.92 m 46.12 -430.46 l S BT/F6 8.96 Tf 59.35 -437.79 TD[(112%)]TJ ET 0.4 w 93.5 -440.92 m 93.5 -430.46 l S BT 105.11 -437.79 TD[(106%)]TJ ET 0.4 w 137.62 -440.92 m 137.62 -430.46 l S 0.4 w 139.42 -440.92 m 139.42 -430.46 l S BT 152.65 -437.79 TD[(116%)]TJ ET 0.4 w 186.8 -440.92 m 186.8 -430.46 l S BT 201.76 -437.79 TD[(87%)]TJ ET 0.4 w 230.92 -440.92 m 230.92 -430.46 l S 0.4 w -18.2 -441.12 m 230.92 -441.12 l S 0.4 w -18.2 -451.78 m -18.2 -441.32 l S BT/F7 8.96 Tf -12.82 -448.64 TD[(Geo.)-310(Mean)]TJ ET 0.4 w 46.12 -451.78 m 46.12 -441.32 l S BT/F6 8.96 Tf 59.35 -448.64 TD[(138%)]TJ ET 0.4 w 93.5 -451.78 m 93.5 -441.32 l S BT 105.11 -448.64 TD[(104%)]TJ ET 0.4 w 137.62 -451.78 m 137.62 -441.32 l S 0.4 w 139.42 -451.78 m 139.42 -441.32 l S BT 152.65 -448.64 TD[(152%)]TJ ET 0.4 w 186.8 -451.78 m 186.8 -441.32 l S BT 201.76 -448.64 TD[(98%)]TJ ET 0.4 w 230.92 -451.78 m 230.92 -441.32 l S 0.4 w -18.2 -451.98 m 230.92 -451.98 l S BT/F7 8.96 Tf -18.2 -469.31 TD[(T)91(able)-288(5:)-389(Memory)-289(f)24(ootprints)-289(and)-289(runtimes)-289(f)24(or)-288(MSExplicit)-290(v)9(er)37(-)]TJ 0 -10.46 TD[(sus)-405(Lea.)-775(In)-405(this)-406(table,)-443(we)-406(pr)17(esent)-404(r)17(esults)-404(comparing)-405(r)17(esults)]TJ 0 -10.45 TD[(when)-250(run)-250(with)-250(similar)-250(oracles.)]TJ/F6 8.96 Tf 8.97 -29.42 TD[(Finally)65(,)-262(T)79(able)-259(5)-260(compares)-259(the)-260(footprints)-260(and)-260(runtimes)-260(of)-260(MSEx-)]TJ -8.97 -10.45 TD[(plicit)-370(\(e)14(xplicit)-370(memory)-370(management)-370(based)-371(on)-370(the)-370(MMTk)-371(Mark-)]TJ 0 -10.46 TD[(Sweep)-358(implementation\))-359(and)-359(the)-358(Lea)-359(allocator)-358(when)-359(both)-358(use)-359(the)]TJ 0 -10.46 TD[(same)-192(oracle.)-291(MSExplicit)-192(is)-192(substantially)-192(less)-193(memory-ef)24(\002cient)-191(than)]TJ 0 -10.46 TD[(Lea,)-352(requiring)-332(between)-332(38%)-332(and)-332(52%)-332(more)-332(space.)-555(Ho)24(we)25(v)15(er)40(,)-352(the)]TJ 0 -10.46 TD[(results)-307(for)-307(runtime)-307(performance)-306(are)-307(similar)54(.)-480(W)39(ith)-306(the)-307(reachability)]TJ 0 -10.45 TD[(oracle,)-217(MSExplicit)-208(runs)-209(an)-208(a)19(v)15(erage)-208(of)-208(4%)-209(slo)24(wer)-207(than)-209(Lea;)-222(with)-209(the)]TJ 0 -10.46 TD[(li)24(v)15(eness-based)-246(oracle,)-248(it)-248(runs)-247(2%)-247(f)9(aster)55(.)-309(The)-247(w)9(orst-case)-246(for)-248(MSEx-)]TJ 0 -10.46 TD[(plicit)-202(is)-202(for)-202(the)-203(locality-sensiti)24(v)15(e)]TJ ET 0.4 w 98.11 -603.1 m 100.8 -603.1 l S BT/F2 8.96 Tf 100.8 -603.3 TD[(209)]TJ ET 0.4 w 116.29 -603.1 m 118.97 -603.1 l S BT 118.97 -603.3 TD[(db)]TJ/F6 8.96 Tf 9.97 0 TD[(,)-211(where)-203(its)-202(se)14(gre)15(g)5(ated)-201(size)]TJ -147.14 -10.46 TD[(classes)-282(cause)-283(it)-282(to)-282(run)-283(18%)-282(slo)24(wer)-281(when)-283(using)-282(the)-282(reachability)-283(or)19(-)]TJ 0 -10.46 TD[(acle.)-345(On)-262(the)-262(other)-262(hand,)-264(it)-262(runs)-262(5%)-262(f)9(aster)-260(than)-262(Lea)-262(for)]TJ ET 0.4 w 179.45 -624.02 m 182.14 -624.02 l S BT/F2 8.96 Tf 182.14 -624.22 TD[(213)]TJ ET 0.4 w 197.63 -624.02 m 200.32 -624.02 l S BT 200.32 -624.22 TD[(ja)19(v)25(ac)]TJ/F6 8.96 Tf -218.52 -10.45 TD[(with)-330(the)-330(reachability)-330(oracle,)-350(because)-331(this)-330(benchmark)-330(stresses)-330(ra)14(w)]TJ 0 -10.46 TD[(allocation)-250(speed.)]TJ 271.91 531.62 TD[(W)40(ith)-341(the)-341(e)14(xception)-341(of)]TJ ET 0.4 w 337.2 -113.31 m 339.89 -113.31 l S BT/F2 8.96 Tf 339.89 -113.51 TD[(209)]TJ ET 0.4 w 355.38 -113.31 m 358.07 -113.31 l S BT 358.07 -113.51 TD[(db)]TJ/F6 8.96 Tf 9.96 0 TD[(,)-364(the)-342(tw)9(o)-341(allocators)-341(are)-342(roughly)]TJ -123.29 -10.45 TD[(comparable)-190(in)-190(performance,)-202(con\002rming)-190(the)-190(good)-190(performance)-190(char)19(-)]TJ 0 -10.46 TD[(acteristics)-348(both)-348(of)-348(the)-348(generated)-348(Ja)19(v)25(a)-347(code)-349(and)-348(of)-348(the)-348(MMTk)-348(in-)]TJ 0 -10.46 TD[(frastructure.)-625(Figure)-355(4\(f\))-355(is)-355(especially)-355(re)24(v)15(ealing:)-520(in)-355(this)-355(case,)-381(the)]TJ 0 -10.46 TD[(runtime)-278(performance)-278(of)-279(MSExplicit)-278(is)-278(just)-278(3%)-278(greater)-279(than)-278(that)-278(of)]TJ 0 -10.45 TD[(Lea,)-232(b)19(ut)-226(MarkSweep,)-232(using)-227(the)-227(same)-227(allocation)-227(infrastructure,)-232(runs)]TJ 0 -10.46 TD[(from)-349(o)14(v)15(er)-347(300%)-349(to)-349(50%)-348(slo)24(wer)55(.)-605(These)-349(e)14(xperiments)-348(demonstrate)]TJ 0 -10.46 TD[(that)-396(the)-395(performance)-396(dif)24(ferences)-395(between)-395(e)13(xplicit)-394(memory)-396(man-)]TJ 0 -10.46 TD[(agement)-243(and)-242(g)4(arbage)-242(collection)-243(are)-242(due)-243(to)-243(g)4(arbage)-241(collection)-243(itself)]TJ 0 -10.46 TD[(and)-250(not)-250(to)-250(underlying)-250(dif)24(ferences)-249(in)-250(allocator)-250(infrastructure.)]TJ/F7 8.96 Tf 0 -17.51 TD[(Comparing)-250(Simulation)-250(to)-250(the)-250(Li)9(v)10(e)-249(Oracle)]TJ/F6 8.96 Tf 0 -13 TD[(W)79(e)-308(also)-310(compare)-309(the)-310(runtime)-309(performance)-310(of)-309(the)-309(v)24(arious)-309(g)4(arbage)]TJ 0 -10.45 TD[(collectors)-315(with)-314(the)-315(li)24(v)15(e)-314(oracle)-315(described)-314(in)-315(Section)-315(2.3.)-504(F)14(or)-314(these)]TJ 0 -10.46 TD[(e)14(xperiments,)-257(we)-257(use)-257(a)-257(Po)24(werPC)-256(G4)-257(with)-256(512MB)-257(of)-257(RAM)-257(running)]TJ 0 -10.46 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TD[(currently)-353(unable)-352(to)-353(run)]TJ/F2 8.96 Tf 87.83 0 TD[(pseudoJBB)]TJ/F6 8.96 Tf 45.84 0 TD[(,)]TJ/F2 8.96 Tf 5.4 0 TD[(ipsixql)]TJ/F6 8.96 Tf 24.9 0 TD[(,)-378(and)]TJ ET 0.4 w 430.98 -352.97 m 433.67 -352.97 l S BT/F2 8.96 Tf 433.67 -353.17 TD[(205)]TJ ET 0.4 w 449.16 -352.97 m 451.85 -352.97 l S BT 451.85 -353.17 TD[(r)9(a)30(ytr)10(ace)]TJ/F6 8.96 Tf -207.11 -10.46 TD[(with)-250(the)-250(li)24(v)15(e)-249(oracle.)]TJ 8.97 -10.46 TD[(Despite)-203(their)-203(dif)24(ferent)-203(en)39(vironments,)-212(the)-204(li)24(v)15(e)-202(and)-204(simulated)-203(orac-)]TJ -8.97 -10.46 TD[(ular)-352(memory)-352(managers)-352(achie)24(v)15(e)-351(strikingly)-353(similar)-352(results.)-616(Dif)24(fer)20(-)]TJ 0 -10.45 TD[(ences)-329(between)-329(the)-329(graphs)-329(could)-328(be)-329(accounted)-329(for)-329(by)-329(the)-329(G4')54(s)-328(L3)]TJ 0 -10.46 TD[(cache)-305(and)-305(smaller)-304(main)-305(memory)-305(latenc)14(y)-304(compared)-304(to)-305(our)-305(simula-)]TJ 0 -10.46 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TD[(that,)-367(on)-343(a)19(v)15(erage,)-366(the)-343(Lea)-344(allocator)-343(with)-344(the)-343(li)24(v)15(eness-based)-343(oracle)]TJ 0 -10.46 TD[(runs)-250(only)-250(1%)-250(slo)24(wer)-249(than)-250(with)-250(the)-250(reachability)-250(oracle.)]TJ 8.97 -10.46 TD[(The)-189(li)24(v)15(eness-based)-189(oracle)-190(has)-190(a)-190(more)-190(pronounced)-190(impact)-190(on)-190(space)]TJ -8.97 -10.46 TD[(consumption,)-382(reducing)-356(heap)-356(footprints)-356(by)-356(up)-356(to)-356(15%.)-628(Using)-356(the)]TJ 0 -10.46 TD[(li)24(v)15(eness-based)-238(oracle)-240(reduces)-240(Lea')54(s)-238(a)19(v)15(erage)-239(heap)-240(footprint)-239(by)-240(17%)]TJ 0 -10.45 TD[(and)-367(MSExplicit')54(s)-366(by)-367(12%.)-661(While)]TJ ET 0.4 w 111.23 -634.47 m 113.92 -634.47 l S BT/F2 8.96 Tf 113.92 -634.67 TD[(201)]TJ ET 0.4 w 129.41 -634.47 m 132.1 -634.47 l S BT 132.1 -634.67 TD[(compress)]TJ/F6 8.96 Tf 38.85 0 TD[(')55(s)-366(reliance)-367(on)]TJ -189.15 -10.46 TD[(se)24(v)15(eral)-223(lar)17(ge)-223(objects)-225(limits)-224(ho)24(w)-223(much)-224(the)-224(li)24(v)15(eness-based)-224(oracle)-224(can)]TJ 262.94 414.45 TD[(impro)14(v)15(e)-391(its)-392(heap)-392(footprint,)-427(all)-392(other)-392(benchmarks)-392(see)-392(their)-392(space)]TJ 0 -10.46 TD[(consumption)-250(reduced)-250(by)-250(at)-250(least)-250(10%.)]TJ/F7 8.96 Tf 0 -17.45 TD[(5.2)-1000(P)9(age-le)15(v)10(el)-249(locality)]TJ/F6 8.96 Tf 0 -13 TD[(F)14(or)-333(virtual)-335(memory)-334(systems,)-356(page-le)24(v)15(el)-333(locality)-335(can)-334(be)-335(more)-334(im-)]TJ 0 -10.46 TD[(portant)-190(for)-190(performance)-190(than)-190(total)-190(memory)-190(consumption.)-290(W)79(e)-189(present)]TJ 0 -10.45 TD[(the)-389(results)-390(of)-389(our)-389(page-le)24(v)15(el)-388(locality)-390(e)14(xperiments)-388(in)-389(the)-390(form)-389(of)]TJ 0 -10.46 TD[(augmented)]TJ/F8 8.96 Tf 42.13 0 TD[(miss)-311(curves)]TJ/F6 8.96 Tf 44.92 0 TD[([52,)-326(61].)-495(Assuming)-312(that)-311(the)-312(virtual)-312(mem-)]TJ -87.05 -10.46 TD[(ory)-367(manager)-368(observ)14(es)-366(an)-367(LR)39(U)-366(discipline,)-397(these)-367(graphs)-368(sho)24(w)-366(the)]TJ 0 -10.46 TD[(time)-326(tak)9(en)-326(\(y-axis\))-326(for)-327(dif)24(ferent)-325(number)-326(of)-327(pages)-326(allocated)-327(to)-326(the)]TJ 0 -10.45 TD[(process)-238(\(the)-238(x-axis\).)-306(Note)-238(that)-238(the)-237(y-axis)-238(is)-238(log-scale.)-306(W)79(e)-237(assume)-238(a)]TJ 0 -10.46 TD[(\002x)14(ed)-249(5)-250(millisecond)-250(page)-250(f)9(ault)-249(service)-250(time.)]TJ 8.97 -10.46 TD[(Figure)-364(7)-364(presents)-365(the)-365(total)-364(e)14(x)15(ecution)-364(times)-364(for)-365(the)-365(Lea)-364(alloca-)]TJ -8.97 -10.46 TD[(tor)39(,)-246(MSExplicit,)-246(and)-246(each)-246(g)4(arbage)-245(collector)-245(across)-246(all)-246(benchmarks.)]TJ 0 -10.46 TD[(F)14(or)-371(each)-372(g)4(arbage)-370(collector)39(,)-402(the)-371(f)9(astest-performing)-371(heap)-372(size)-372(w)9(as)]TJ 0 -10.45 TD[(selected.)]TJ 8.97 -10.46 TD[(These)-220(graphs)-221(sho)24(w)-220(that,)-227(for)-221(reasonable)-221(ranges)-220(of)-221(a)19(v)25(ailable)-220(mem-)]TJ -8.97 -10.46 TD[(ory)-365(\(b)19(ut)-363(not)-365(enough)-365(to)-365(hold)-364(the)-365(entire)-365(application\),)-393(both)-365(e)14(xplicit)]TJ 0 -10.46 TD[(memory)-272(managers)-272(substantially)-272(outperform)-272(all)-273(of)-272(the)-272(g)4(arbage)-271(col-)]TJ 0 -10.46 TD[(lectors.)-302(F)14(or)-226(instance,)]TJ/F2 8.96 Tf 76.89 0 TD[(pseudoJBB)]TJ/F6 8.96 Tf 47.87 0 TD[(running)-226(with)-227(63MB)-226(of)-227(a)19(v)25(ailable)]TJ -124.76 -10.45 TD[(memory)-307(and)-306(the)-307(Lea)-306(allocator)-307(completes)-306(in)-307(25)-307(seconds.)-479(W)39(ith)-306(the)]TJ 0 -10.46 TD[(same)-225(amount)-226(of)-225(a)19(v)25(ailable)-224(memory)-225(and)-226(using)-225(GenMS,)-225(it)-226(tak)9(es)-224(more)]TJ 0 -10.46 TD[(than)-338(ten)-337(times)-338(longer)-338(to)-337(complete)-338(\(255)-338(seconds\).)-573(W)79(e)-336(see)-338(similar)]TJ 0 -10.46 TD[(trends)-341(across)-341(the)-341(benchmark)-341(suite.)-583(The)-341(most)-341(pronounced)-341(case)-341(is)]TJ ET 0.4 w 244.74 -480.55 m 247.43 -480.55 l S BT/F2 8.96 Tf 247.43 -480.74 TD[(213)]TJ ET 0.4 w 262.92 -480.55 m 265.61 -480.55 l S BT 265.61 -480.74 TD[(ja)19(v)25(ac)]TJ/F6 8.96 Tf 20.52 0 TD[(:)-419(at)-305(36MB)-305(with)-305(the)-304(Lea)-305(allocator)39(,)-318(total)-305(e)14(x)15(ecution)-303(time)]TJ -41.39 -10.46 TD[(is)-275(14)-275(seconds,)-281(while)-275(with)-276(GenMS,)-275(total)-275(e)14(x)15(ecution)-274(time)-275(is)-275(211)-275(sec-)]TJ 0 -10.46 TD[(onds,)-250(o)14(v)15(er)-249(a)-250(15-fold)-250(increase.)]TJ 8.97 -10.46 TD[(The)-351(culprit)-352(here)-352(is)-352(g)4(arbage)-351(collection)-352(acti)24(vity)65(,)-376(which)-352(visits)-352(f)9(ar)]TJ -8.97 -10.46 TD[(more)-270(pages)-270(than)-270(the)-270(application)-270(itself)-271([61].)-370(As)-270(allocation)-270(intensity)]TJ 0 -10.45 TD[(increases,)-294(the)-285(number)-285(of)-285(major)-285(g)3(arbage)-284(collections)-285(also)-285(increases.)]TJ 0 -10.46 TD[(Since)-232(each)-232(g)3(arbage)-231(collection)-232(is)-232(lik)9(ely)-232(to)-232(visit)-232(pages)-232(that)-233(ha)19(v)15(e)-231(been)]TJ 0 -10.46 TD[(e)24(victed,)-369(the)-346(performance)-347(g)4(ap)-345(between)-346(the)-346(g)4(arbage)-346(collectors)-346(and)]TJ 0 -10.46 TD[(e)14(xplicit)-344(memory)-344(managers)-345(gro)24(ws)-343(as)-345(the)-344(number)-345(of)-344(major)-345(collec-)]TJ 0 -10.46 TD[(tions)-250(increases.)]TJ/F7 8.96 Tf 0 -17.45 TD[(6.)-1000(Related)-250(W)74(ork)]TJ/F6 8.96 Tf 0 -10.98 TD[(Pre)24(vious)-189(comparisons)-190(of)-190(g)4(arbage)-189(collection)-190(to)-190(e)14(xplicit)-189(memory)-190(man-)]TJ 0 -10.46 TD[(agement)-271(ha)19(v)15(e)-270(generally)-271(tak)9(en)-269(place)-271(in)-271(the)-271(conte)14(xt)-270(of)-271(conserv)24(ati)25(v)15(e,)]TJ 0 -10.46 TD[(non-relocating)-373(g)4(arbage)-371(collectors)-373(and)-373(C)-372(and)-373(C++.)-678(In)-372(his)-373(thesis,)]TJ 0 -10.45 TD[(Detlefs)-246(compares)-247(the)-246(performance)-247(of)-246(g)4(arbage)-246(collection)-246(to)-247(e)14(xplicit)]TJ 0 -10.46 TD[(memory)-263(management)-264(for)-263(three)-263(C++)-264(programs)-263([19,)-267(p.47].)-350(He)-263(\002nds)]TJ ET endstream endobj 132 0 obj << /F6 25 0 R /F7 28 0 R /F2 13 0 R /F8 31 0 R >> endobj 133 0 obj << /Im11 122 0 R /Im12 125 0 R /Im13 128 0 R >> endobj 121 0 obj << /ProcSet[/PDF/Text/ImageC] /Font 132 0 R /XObject 133 0 R >> endobj 136 0 obj << /Length 136202 /Filter/FlateDecode /Name/Im14 /Type/XObject /Subtype/Form /BBox[0 0 2384 3370] /FormType 1 /Matrix[1 0 0 1 -50 -50] /Resources<< /ProcSet[/PDF/Text] /Font 137 0 R >> >> stream xˮJO7%Z nɀgqt$t$ۛcHL`UF$''33bd\) ~Obo[V 5-~P[[¥ I9}Vr1?~ß~+_Oubj9_+?߿?wWRcjswϤ|Yש}9,3:)+_v3uis{l׹?cO則.S9?y+}E>ϬxvE>|f]:_EܟsN_/]=GG>טWkxGCW\skϬ̺Lk:|̺3uZ:FܟsΨ_5s"u#|oz̔/?oЯ0R޾"|f}g󸎑:gܟ\}?p*q-OZ2<~8vnOyܥKed+ޟSK $v3u|3puD|>s_Տgnd/y\OϿOxMH׻op?ٮ5o]7/R 3)envM[kBu-0ǭmnjx&-򹷛]eǽϽ0+Fnr"{wo؞{Kzs~o|vo}v y voތluop}۽r:cE>fdE{lϭm6RŔ"{3"׽xM{{K! 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%!PS-AdobeFont-1.0: NimbusSanL-Bold 1.05 %%CreationDate: Wed Dec 22 1999 % Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development % (URW)++,Copyright 1999 by (URW)++ Design & Development % See the file PUBLIC (Aladdin Free Public License) for license conditions. % As a special exception, permission is granted to include this font % program in a Postscript or PDF file that consists of a document that % contains text to be displayed or printed using this font, regardless % of the conditions or license applying to the document itself. 12 dict begin /FontInfo 10 dict dup begin /version (1.05) readonly def /Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file PUBLIC (Aladdin Free Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (Nimbus Sans L Bold) readonly def /FamilyName (Nimbus Sans L) readonly def /Weight (Bold) readonly def /ItalicAngle 0.0 def /isFixedPitch false def /UnderlinePosition -155 def /UnderlineThickness 69 def end readonly def /FontName /NimbusSanL-Bold def /PaintType 0 def /WMode 0 def /FontBBox {-173 -307 1003 949} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def /UniqueID 5020904 def currentdict end currentfile eexec `,i"[[5j5mTʻ^+݄fKitrޟm%9۩*++`[&NfA-O!J"|UY+; <Ԟ2?.P2QhnDtw=y0)n*[ Y]~ ΁RzYi[AXm>ne壷hm65tL=7By#mcwW{ͪƴˑG8nq.!^1&:K4!}UqR[Ѿ'n_ϣA{z / QΨ6ykwbQ\e@Lo"ǀ*ƃW0KDTZ~C25<+cvnH%׃^׋ (6Sc|>T +ƄO#^-Q:N0r&fש .4k wȢ2ɚfSLj-@? gO bFP'xxхϖhIL"V$GMڡG|hzg!6dTk- Md^C66(@`{9 E,|ZsoDepr{7['dH0=$>zF}Hf ), ѹy^z x󀋇X,v5Z`zJΤL[^ی Wt|Rkm^,\C;ѕQ u{Oxgjw NS wzTdkSlu&DJRW"̮HGAsO =hd ;;4fHOI$8i漜X ygf nqWWŔ^쾀0z6^?d[':H.k}uUH Ƅ&Y-c}p9wX=HA]-2K =;tUҒfI&V?R=("N X&@@ Pbr?G/ĊItT\waWdL$©Å\_*ۡxO|Q 3%2C @ĺLv<# GZzlgZQND`I$;6 {8xv~yYntTd- -jqNZn8LxU_Z]GDV }cGk{^aF/aVƩxl y\Lk_ k &3$FjP!P\E[8]voPЍ]b1;jBiL9`툻EЏCXf ,Q`Rp9S < "\@P/=?b'D4,-N(6{܀8Bw =jmPa69-9로ݱ xl_PG~ݙmȏ_<@w>}vc0XLEd:ym.u8q '儍} r:"I̲l;Ίc{)cd'z#9P=;7],"*\ۻCTy07rk$C)g5^Ɔ&?Y"s,y߯m0I5A(~mjoGʍqL:em>˷pFoDq 'v;DҴ{NiL # ?ae3\.$BďFJ5-K?ϲ|(vx;*&8|l5k@lıS:^iR٩T;zHt#Ѫ./`FCӛm_Ё+)c۟^L/o_nސXCFۖSVV' ZKJSVZ 2/D`Hwh?(_Faj5az5 ;_1UV7 cNRXXUJF7:MːIObsO}x-mO:5d%9IDHb.k?_R1 Ue[?86Fl=o:*\$30mM6P}AlՉ?42LD?5͖9'1JDn#4࡛tUKo+y<Ż_E!v Tp) '~u&c8n9FG1?mI/};ϴZRy>hqE'3G/B' aёitNj>*rjn'ޕu{]s;?mxSjG17iԏW7u,:ɪ#0g8MVv;D&Jr! π1+ [C9E)tн@'\>DP1lbW87~9YeO#E"1Xu)c5Jk'X&TuI8eTMF`FVqx p\(9A9#SD]Y҆)]*!J;1 \d!bTe&IA;\J& z_KuNB|X5d|Fq~j Zc!q.,IsqdtR LZM۵hEId(Jʓm NܱR~px1a֮0OinUg*ùc4I:u#H. 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PXcOJ%8F8dBx N!!_Q @[`/>$Qﺜm~ExDƜ`IM#V'r4!df]ʥ|vgq|#@!˂q@T0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark endstream endobj 12 0 obj << /Type/FontDescriptor /CapHeight 850 /Ascent 850 /Descent -200 /FontBBox[-174 -285 1001 953] /FontName/NimbusSanL-Regu /ItalicAngle 0 /StemV 85 /FontFile 11 0 R /Flags 4 >> endobj 11 0 obj << /Length1 1629 /Length2 33845 /Length3 532 /Length 36006 >> stream %!PS-AdobeFont-1.0: NimbusSanL-Regu 1.05 %%CreationDate: Wed Dec 22 1999 % Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development % (URW)++,Copyright 1999 by (URW)++ Design & Development % See the file PUBLIC (Aladdin Free Public License) for license conditions. % As a special exception, permission is granted to include this font % program in a Postscript or PDF file that consists of a document that % contains text to be displayed or printed using this font, regardless % of the conditions or license applying to the document itself. 12 dict begin /FontInfo 10 dict dup begin /version (1.05) readonly def /Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file PUBLIC (Aladdin Free Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (Nimbus Sans L Regular) readonly def /FamilyName (Nimbus Sans L) readonly def /Weight (Regular) readonly def /ItalicAngle 0.0 def /isFixedPitch false def /UnderlinePosition -151 def /UnderlineThickness 50 def end readonly def /FontName /NimbusSanL-Regu def /PaintType 0 def /WMode 0 def /FontBBox {-174 -285 1001 953} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def /UniqueID 5020902 def currentdict end currentfile eexec `,i"[[5j5mTʻ^+݄fKitrޟm%9۩*++`[&NfA-O!J"|UY+; <Ԟ2?.P2QhnDtw=y0)n*[ Y]~ ΁RzYi[AXm>nc5+\3v,I5L:vL$l۬:s" aS㘧Ĝ;@QcIzL6kGy姽򱠧 裳ZfcY 0@\d"CK# ْ:ˣntsgAhx/R e'R>{q¹ñ'XJ<2u_l1H5GoqAjL.=1@눒u:lN:ݶoWoO)zX&wf\RsR7Np¢_[ d+m)f4dIm4b})yVE[ C1 +Ny<:Pa 4cfϤl4cÄchhUnߔDJ,kMjȍr6qtLAc$3TQ2ˑ2xgt7QlFx 3A4IF;@4i]=UW2}_SE img@H K,|zlmr+EiP~W439 >P*UzlW?gf^bU:8bnsBγ;Ldb;x+[D*@d?깙i~ӽZ䖆c&Cٛp3ڀDOɮhra.j3%*QΩ=ͽpx P)x;\: CevT ??GHBo*18) 80.#`lY!d;0uTeAr9Xh:m@O '̂ytnn h ۘ@mbF- LRPͨ26af!.;B*; GP'K(wʞ?Y h ^f(9Ė^}OçzǏ€_F25f rƮvm,Gy%M͐䠉q>f]7^pCQz4c#P񦸶WMNaύte·j;h쌞]XQ_@쒓۷D[m9). )C:<:(*ao x3p1rPa|0͉RT^󀕍I ( n+!c@YSsU#;dw |m7&tafV/ڻaŗWEUqZ^Y+u ].#i}, }Q$H`Dկ\,. i+*N;SDDŽ;HvFκ֒F*-o|AƊ&z]m!M tGok.5[Nɗcw5`{|}Iͩ*⤟Τ: sŘ2}` :&{Z;uUb Kw+V7S >\͈E ^OߚiG-x @faF%SUFX,.q2Szb co#OK3S{d}q@o9/ukp#"肥g) 5jh9򕜧5"Sv'\_F7E y[;N`=!1QK_9&Gww 87eSxZQ̒D"sq4'ٯiAoQ Q*{|J;v!hTҘ? 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All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.0) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMSY10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.035 def /isFixedPitch false def end readonly def /FontName /CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 161 /minus put dup 162 /periodcentered put dup 163 /multiply put dup 164 /asteriskmath put dup 165 /divide put dup 166 /diamondmath put dup 167 /plusminus put dup 168 /minusplus put dup 169 /circleplus put dup 170 /circleminus put dup 173 /circlemultiply put dup 174 /circledivide put dup 175 /circledot put dup 176 /circlecopyrt put dup 177 /openbullet put dup 178 /bullet put dup 179 /equivasymptotic put dup 180 /equivalence put dup 181 /reflexsubset put dup 182 /reflexsuperset put dup 183 /lessequal put dup 184 /greaterequal put dup 185 /precedesequal put dup 186 /followsequal put dup 187 /similar put dup 188 /approxequal put dup 189 /propersubset put dup 190 /propersuperset put dup 191 /lessmuch put dup 192 /greatermuch put dup 193 /precedes put dup 194 /follows put dup 195 /arrowleft put dup 196 /spade put dup 0 /minus put dup 1 /periodcentered put dup 2 /multiply put dup 3 /asteriskmath put dup 4 /divide put dup 5 /diamondmath put dup 6 /plusminus put dup 7 /minusplus put dup 8 /circleplus put dup 9 /circleminus put dup 10 /circlemultiply put dup 11 /circledivide put dup 12 /circledot put dup 13 /circlecopyrt put dup 14 /openbullet put dup 15 /bullet put dup 16 /equivasymptotic put dup 17 /equivalence put dup 18 /reflexsubset put dup 19 /reflexsuperset put dup 20 /lessequal put dup 21 /greaterequal put dup 22 /precedesequal put dup 23 /followsequal put dup 24 /similar put dup 25 /approxequal put dup 26 /propersubset put dup 27 /propersuperset put dup 28 /lessmuch put dup 29 /greatermuch put dup 30 /precedes put dup 31 /follows put dup 32 /arrowleft put dup 33 /arrowright put dup 34 /arrowup put dup 35 /arrowdown put dup 36 /arrowboth put dup 37 /arrownortheast put dup 38 /arrowsoutheast put dup 39 /similarequal put dup 40 /arrowdblleft put dup 41 /arrowdblright put dup 42 /arrowdblup put dup 43 /arrowdbldown put dup 44 /arrowdblboth put dup 45 /arrownorthwest put dup 46 /arrowsouthwest put dup 47 /proportional put dup 48 /prime put dup 49 /infinity put dup 50 /element put dup 51 /owner put dup 52 /triangle put dup 53 /triangleinv put dup 54 /negationslash put dup 55 /mapsto put dup 56 /universal put dup 57 /existential put dup 58 /logicalnot put dup 59 /emptyset put dup 60 /Rfractur put dup 61 /Ifractur put dup 62 /latticetop put dup 63 /perpendicular put dup 64 /aleph put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 88 /X put dup 89 /Y put dup 90 /Z put dup 91 /union put dup 92 /intersection put dup 93 /unionmulti put dup 94 /logicaland put dup 95 /logicalor put dup 96 /turnstileleft put dup 97 /turnstileright put dup 98 /floorleft put dup 99 /floorright put dup 100 /ceilingleft put dup 101 /ceilingright put dup 102 /braceleft put dup 103 /braceright put dup 104 /angbracketleft put dup 105 /angbracketright put dup 106 /bar put dup 107 /bardbl put dup 108 /arrowbothv put dup 109 /arrowdblbothv put dup 110 /backslash put dup 111 /wreathproduct put dup 112 /radical put dup 113 /coproduct put dup 114 /nabla put dup 115 /integral put dup 116 /unionsq put dup 117 /intersectionsq put dup 118 /subsetsqequal put dup 119 /supersetsqequal put dup 120 /section put dup 121 /dagger put dup 122 /daggerdbl put dup 123 /paragraph put dup 124 /club put dup 125 /diamond put dup 126 /heart put dup 127 /spade put dup 128 /arrowleft put readonly def /FontBBox{-29 -960 1116 775}readonly def /UniqueID 5000820 def currentdict end currentfile eexec i_,+`"Wٰ'Z1NςRoN]+,󡈙5Н; lƸWb3k,j:N'lkp<7%탴s9V"dw?;+UgMsw/gNVu4ŻaSr rX!m߁ 1,;TWoZz^NyfOKŹOK@Ҙ3`tLCZ)h 5*f@c QNǷ`tym"y!8pRÐ;d_T-+ιWʿ?= S( K⮮o4Vc;)mmlƵohө~4_,a&or@8Z/+tAW}º|ED*6\OO;m莟1J3Vb˔A\&5h;y ؛L|"V;{miDphoUq-t , Eݚ('kqi  2ѹ)-Ԃ5OYۋO[0$fN[pʿыMD;' ɽ"7jB{dn:&uho,yl⪰@U-|^tm1_y(A@"E#h7WZʘGHOB I%zl]%jbOw$m{ͿeJ(.\ ͥl+˓[^$Y!$=BaƨV ˕ıOjif -xbYЎ3Lw]k_{y3A79^I68g{ O_P_hʨ8~0jE^PMsӽ'LS5kk=& vƚls;ε׈qtPAAqy$˖Ei"{){ eT+]LwXNTƕfmWVbQX#MU:T\A: O%+8, )0dSi} W,uɏpbv~eѥL/YK #<ThȁsE 1\Ќ EuOw5\_NCBJ2ނx5s@`ªDp/žU2Aa4B?kTWKeN 4 rJ4/釉A{l\jap 9Kb ٞIܑжS/ 3@7gǢm X,VAzԩM3?fg,eٕ}%7yEHxퟄUGқ:h; UͩE?C]/X:e8ȧ6Mpi1DԌ2@_gaO{Qe#\NfW\f6.A'C>VTx[ :#xdjrQSKN K; _"Ô!6m9hvkIF[p{՞-z&g\;wFG,ްTʸIr>GD9l麱 >Kllƥgٺݨ\rdPhi c5g"uqr)!@;+}jQ.D4sgTT@Y)סδ: ɖFREnҪo'`03KFVd9*MPZO~#i!uSfT[4Sc%V85;(qN>{jn;K2n6'qxgm^7ֱ4/:Ղ{e2qf6CZ _ K\|)]n w./{_*<:x.<!%#Zgz :d\:œ^㴸nx7(yiưD)f=Zvc}A%eu=\a#xy9aϭ?)۾ RCD0)qnlg|8X'yfC. 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See the file PUBLIC (Aladdin Free Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright URW Software, Copyright 1997 by URW) readonly def /FullName (Standard Symbols L) readonly def /FamilyName (Standard Symbols L) readonly def /Weight (Regular) readonly def /ItalicAngle 0.0 def /isFixedPitch false def /UnderlinePosition -229 def /UnderlineThickness 46 def end readonly def /FontName /StandardSymL def /PaintType 0 def /WMode 0 def /FontBBox {-180 -293 1090 1010} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 32 /space put dup 33 /exclam put dup 34 /universal put dup 35 /numbersign put dup 36 /existential put dup 37 /percent put dup 38 /ampersand put dup 39 /suchthat put dup 40 /parenleft put dup 41 /parenright put dup 42 /asteriskmath put dup 43 /plus put dup 44 /comma put dup 45 /minus put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 60 /less put dup 61 /equal put dup 62 /greater put dup 63 /question put dup 64 /congruent put dup 65 /Alpha put dup 66 /Beta put dup 67 /Chi put dup 68 /Delta put dup 69 /Epsilon put dup 70 /Phi put dup 71 /Gamma put dup 72 /Eta put dup 73 /Iota put dup 74 /theta1 put dup 75 /Kappa put dup 76 /Lambda put dup 77 /Mu put dup 78 /Nu put dup 79 /Omicron put dup 80 /Pi put dup 81 /Theta put dup 82 /Rho put dup 83 /Sigma put dup 84 /Tau put dup 85 /Upsilon put dup 86 /sigma1 put dup 87 /Omega put dup 88 /Xi put dup 89 /Psi put dup 90 /Zeta put dup 91 /bracketleft put dup 92 /therefore put dup 93 /bracketright put dup 94 /perpendicular put dup 95 /underscore put dup 96 /radicalex put dup 97 /alpha put dup 98 /beta put dup 99 /chi put dup 100 /delta put dup 101 /epsilon put dup 102 /phi put dup 103 /gamma put dup 104 /eta put dup 105 /iota put dup 106 /phi1 put dup 107 /kappa put dup 108 /lambda put dup 109 /mu put dup 110 /nu put dup 111 /omicron put dup 112 /pi put dup 113 /theta put dup 114 /rho put dup 115 /sigma put dup 116 /tau put dup 117 /upsilon put dup 118 /omega1 put dup 119 /omega put dup 120 /xi put dup 121 /psi put dup 122 /zeta put dup 123 /braceleft put dup 124 /bar put dup 125 /braceright put dup 126 /similar put dup 161 /Upsilon1 put dup 160 /Euro put dup 162 /minute put dup 163 /lessequal put dup 164 /fraction put dup 165 /infinity put dup 166 /florin put dup 167 /club put dup 168 /diamond put dup 169 /heart put dup 170 /spade put dup 171 /arrowboth put dup 172 /arrowleft put dup 173 /arrowup put dup 174 /arrowright put dup 175 /arrowdown put dup 176 /degree put dup 177 /plusminus put dup 178 /second put dup 179 /greaterequal put dup 180 /multiply put dup 181 /proportional put dup 182 /partialdiff put dup 183 /bullet put dup 184 /divide put dup 185 /notequal put dup 186 /equivalence put dup 187 /approxequal put dup 188 /ellipsis put dup 189 /arrowvertex put dup 190 /arrowhorizex put dup 191 /carriagereturn put dup 192 /aleph put dup 193 /Ifraktur put dup 194 /Rfraktur put dup 195 /weierstrass put dup 196 /circlemultiply put dup 197 /circleplus put dup 198 /emptyset put dup 199 /intersection put dup 200 /union put dup 201 /propersuperset put dup 202 /reflexsuperset put dup 203 /notsubset put dup 204 /propersubset put dup 205 /reflexsubset put dup 206 /element put dup 207 /notelement put dup 208 /angle put dup 209 /gradient put dup 210 /registerserif put dup 211 /copyrightserif put dup 212 /trademarkserif put dup 213 /product put dup 214 /radical put dup 215 /dotmath put dup 216 /logicalnot put dup 217 /logicaland put dup 218 /logicalor put dup 219 /arrowdblboth put dup 220 /arrowdblleft put dup 221 /arrowdblup put dup 222 /arrowdblright put dup 223 /arrowdbldown put dup 224 /lozenge put dup 225 /angleleft put dup 226 /registersans put dup 227 /copyrightsans put dup 228 /trademarksans put dup 229 /summation put dup 230 /parenlefttp put dup 231 /parenleftex put dup 232 /parenleftbt put dup 233 /bracketlefttp put dup 234 /bracketleftex put dup 235 /bracketleftbt put dup 236 /bracelefttp put dup 237 /braceleftmid put dup 238 /braceleftbt put dup 239 /braceex put dup 241 /angleright put dup 242 /integral put dup 243 /integraltp put dup 244 /integralex put dup 245 /integralbt put dup 246 /parenrighttp put dup 247 /parenrightex put dup 248 /parenrightbt put dup 249 /bracketrighttp put dup 250 /bracketrightex put dup 251 /bracketrightbt put dup 252 /bracerighttp put dup 253 /bracerightmid put dup 254 /bracerightbt put readonly def /UniqueID 5021339 def currentdict end currentfile eexec `,i"[[5j5mTʻ^+݄fKitrޟm%9۩*++`[&NfA-O!J"|UY+; 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Ŷ3Yk;1[\㤆SWV‚qit[EPZ{/,>V)HHs?#@ Tz^tgqϝaD,T_~ {^~4g.:b+AbW> جZaX* )P۸Hd[ مL)5lmAьfvk ,pvEU3Q7yi˟nE)!&%>jͣaׁ^\hT&n,#JbU/=G-;8r#Q Z Z0K- .`z(pκo;w'4¤o),̘[|> endobj 20 0 obj << /Length1 1650 /Length2 47087 /Length3 532 /Length 49269 >> stream %!PS-AdobeFont-1.0: URWChanceryL-MediItal 1.05 %%CreationDate: Wed Dec 22 1999 % Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development % (URW)++,Copyright 1999 by (URW)++ Design & Development % See the file COPYING (GNU General Public License) for license conditions. % As a special exception, permission is granted to include this font % program in a Postscript or PDF file that consists of a document that % contains text to be displayed or printed using this font, regardless % of the conditions or license applying to the document itself. 12 dict begin /FontInfo 10 dict dup begin /version (1.05) readonly def /Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file COPYING (GNU General Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (URW Chancery L Medium Italic) readonly def /FamilyName (URW Chancery L) readonly def /Weight (Medium) readonly def /ItalicAngle -14.0 def /isFixedPitch false def /UnderlinePosition -120 def /UnderlineThickness 50 def end readonly def /FontName /URWChanceryL-MediItal def /PaintType 0 def /WMode 0 def /FontBBox {-133 -290 1078 913} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def /UniqueID 5021575 def currentdict end currentfile eexec `,i"[[5j5mTʻ^+݄fKitrޟm%9۩*++`[&NfA-O!J"|UY+; <Ԟ2?.P2QhnDtw=y0)n*[ Y]~ ΁RzYi[AXm2+⇡gabu3-_.'Q47AЮ:M>_5nt9'ʇ9h[p)}7/E(̇Gҿi*k.B+MF@bu^{FH7^RkBH^AcBuN_KEو9zы[W j;y%ꡟ"y{jz k4xfcOSP4Q x|6C{\Y2@4}#Pޡ J *6LDZ?"~3U޴YPKqFLD0We%:jPHzgha++@?,Wqݎdt<mvqÆ~`I-j/l2L}ŋw}Q1P"f&bv~BZT^7QbVV+Gc[kװ>¶'e{8a6t>i,RI+0G] Y4` Al VQO|R(y6g6U}7D! 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See the file PUBLIC (Aladdin Free Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (Nimbus Roman No9 L Regular) readonly def /FamilyName (Nimbus Roman No9 L) readonly def /Weight (Regular) readonly def /ItalicAngle 0.0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /NimbusRomNo9L-Regu def /PaintType 0 def /WMode 0 def /FontBBox {-168 -281 1000 924} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def /UniqueID 5020931 def currentdict end currentfile eexec `,i"[[5j5mTʻ^+݄fKitrޟm%9۩*++`[&NfA-O!J"|UY+; <Ԟ2?.P2QhnDtw=y0)n*[ Y]~ ΁RzYi[AXm>mܘ4<Л1"%}ƛg)n+f]riZO uDnH1I QD23naVhR=DRG1a]L$6콗T|DŶ'{9?; 44Y;UF78ʄ5tQqw,FΆEy|"ǎx7mp(poj1'cKKߑhgB5lŶݷ@]/'E;h2 )Lwbq UC*=Iam C 7 7 Aq^[iZUVv#@{@AARqS\M HSm-?_xn+*H0V׊.\ q8|թȧ!(ѝ:MJIpc&$a3'ZQ;Pw~5> <>3MRAȔd$J_GkDAbDm J|Jl8E0ڮ)ӗ8KZƍb4#szVQlaB*y%ЬaGke]uwQ߿;~tl3BR^ [x%( gWH|ia&0i+bqx;~E^LLb?l7@REz  DNH=͹,i1Zo2^meߜ٣.=:;϶]FЊ`gVa;=^v 9H6 S@$>d CRV3ɛuy}T~$ #% a}9Nx|C{ePN(/F !]&$ bq+Y^n1#% N |,(X9 |lg] RѨǸ)&tQ%Z~ꪃiU Ss0~3)VxA7͜iD 4!YO^%4߬}KU@3GLut3k̜vPzq}_|pRXIt{?@(WO:İ1GC UmhmQ<[H0 )EsMrpgςG+5XBkK^ٝ䄭HD W}!kf>Ax檔;{s.'ǏW׺-`Yq)2B-s{evwS՞k?Bꬴoov8j 77&sK[M2{qO3ߥ>V OGr;]8Q ɴ &;i>2TCنT պؙL65)쥝W92ب7H'kՇ/xE$^&4U)PamxEpc9ݻEɜe6l(:klL\+j(}+*lD2~{;AiKp ch-gpq}eR8`I՚#,;L=ȝxSV?io퉽P| }>BBĭ˰0jK,`xgYt̠3(`Mo,+ؒn)^B 8\DS{"ՉvX>8V,+Sz[V=6SR4j7š?1@ʕ?Mo#6×rNgScć{f! 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$1^Ћŋ|c?@ 3!֭w=c{'P]KuA ^E4\.m33z7mq"2-Gake&^=4$9,kq$π"H LY,̲+RZ~2N^Mbwǂ@֣ -y -U_5d]jNŋBS{l=-[PYu1hvaL ) 1tr1Ĩӹ E=&P4nQ~hpntxw#[QmzCijw鋾7\hk&*/AKi iSZ~ ȧ@,rs+jYs];n' kFrvw(N9;vI`mln}aVYJMD)_G !c-p1X3ZPi>4K] 8Fb|8R-dS?΃_&0CFkCRDVIǀyl&ᶥ0B{N3 aq ;37533,W]T9,o!EM/}8HZKsq?L1k"9) z4K(_%Vį?$$bB`wyEA0&G_ĩJl HF3ݘˠ(ljVxs.+jF*/\dpMX{:֯k`ܖ'ѯ$mSqSnTs %K2u`, ]y]c dUp13q|ޒn4\<ŅS ッJ|{7Ak`E3=2p\5Luv|OR@z"=qUMG.ih\xu@TDJyNuSOUzw:WhΑ˸+Nvle+E|vMRaK@D >JjN槆z feSX6fTE5`nUJ:W uDụC2w@=S2ǗǨUnmFˁ NZ/nJ9< W&aPVtN^ºgl}flɁ1IÅL@2L\CFML;-vELAHMPK1u.L/xIπO.ϒMa D8z$(w25y  %#g&EY`q/jMw$=k˔#jB`wYl(VUxkpZ/5V1g`(WZ94{PϖZ!FZhsiYب <xYaBnAVn[ 80[D{_l u&ݏש*oEg_ lQwϟep4kd$b5DNQbғ}~^!$;Zm~T#\$6VbD|&m { ROE#QʧJ╍䗨?^D+o?ǡꛤAl ;=0_ ܊i[kymˀW7;M2 )4?A$ Rrd=ֶ{FsO[*!@nņN*eU/B"3bq+?`t 5Yh,tjz֖A*Zo&;Hz Sua-_OfU'#J)/%Bx)-H+F3(nrNԓv;74*`]=a7+֩en"3ڦ_ pkFpngC(\giوEW4g_~kCqw4V3OW1I"ˑvXCU`(z_f!A s4  K„7s˵,tw<4J۲o {0*ڲ#V/(ঞ=( `s[z  lfg޳q}̻:NIo9rxfwO<ϻ t4yڑI>¼iC >ͩ %L^kJ AH!Xc"f7r[+ӴBVz:GDk߉&{|v]0] ehEGPekP,W1~ pi6[cwTR,~X?xLf`]ӓLi];Jao޷{cbkGnSZW3aqė?dTYy^EUL,^F3'U7>W9-*MfQy6lUT(m\,--؎2EL}5Y8O)["tE7#}+%/Zz.?yB> endobj 26 0 obj << /Length1 1641 /Length2 42536 /Length3 532 /Length 44709 >> stream %!PS-AdobeFont-1.0: NimbusRomNo9L-Medi 1.05 %%CreationDate: Wed Dec 22 1999 % Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development % (URW)++,Copyright 1999 by (URW)++ Design & Development % See the file PUBLIC (Aladdin Free Public License) for license conditions. % As a special exception, permission is granted to include this font % program in a Postscript or PDF file that consists of a document that % contains text to be displayed or printed using this font, regardless % of the conditions or license applying to the document itself. 12 dict begin /FontInfo 10 dict dup begin /version (1.05) readonly def /Notice ((URW)++,Copyright 1999 by (URW)++ Design & Development. See the file PUBLIC (Aladdin Free Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (Nimbus Roman No9 L Medium) readonly def /FamilyName (Nimbus Roman No9 L) readonly def /Weight (Bold) readonly def /ItalicAngle 0.0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /NimbusRomNo9L-Medi def /PaintType 0 def /WMode 0 def /FontBBox {-168 -341 1000 960} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def /UniqueID 5020933 def currentdict end currentfile eexec `,i"[[5j5mTʻ^+݄fKitrޟm%9۩*++`[&NfA-O!J"|UY+; <Ԟ2?.P2QhnDtw=y0)n*[ Y]~ ΁RzYi[AXm>m$Jin`hf$:Y< kx\M y~r0gZb %f%;kցƹ GTN}fRz낇O lӼ2_񑆺͟Q)@dSX%Pd@eYہ~9+2ցwA-"͡nLZ Œh큡AIfW#^g0w4=l]I"m^8&1y)"nsmu4/2a %rOlܱG@ao <]0dQо(zOhY yx]?C~~N=9ď/wcg" IWgÒęAevsj18-셒kvpUXgt˗dW;3%_QqC6CW11 4/hVv;r ,IKSg K!ۢJV;q#رzlּ7ة'N5^΍ůc97SW.:daSs_)}`YY[쥅ί>jf7Ҏy08)!HT$ȐP}do4bO:)uB3.uvbf3$K5T/#щRnmbwƒ7V?--4ODN^et0.׺tm݉OFDT)G;,G`j:z:eȝ`͵a+1S:HˎlINaL0TV*̡Cmށ-LOVIGLw?qv'g;kSg $iy·: )HիVJH 3$)f(BWH0b,ҬW.*:QAG璻  a= @V8`}tjV>%s׽Z:AܝoEz75Z!WAZ˸f*M!g"rjGX5K m^" ~Yauʔ[Yl@5Pjث<&/+$òm %~KU C>w(GǹlZ`xBdn&fٺ-2qgVxc?Xi1mG'k^wehUÊҖ'sT'vZ=. 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See the file PUBLIC (Aladdin Free Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (Nimbus Roman No9 L Regular Italic) readonly def /FamilyName (Nimbus Roman No9 L) readonly def /Weight (Regular) readonly def /ItalicAngle -15.5 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /NimbusRomNo9L-ReguItal def /PaintType 0 def /WMode 0 def /FontBBox {-169 -270 1010 924} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def /UniqueID 5020937 def currentdict end currentfile eexec `,i"[[5j5mTʻ^+݄fKitrޟm%9۩*++`[&NfA-O!J"|UY+; <Ԟ2?.P2QhnDtw=y0)n*[ Y]~ ΁RzYi[AXm>m_mcbk$uصC4uli"bcB|*/?;f-ߣI4BkG3 +_v=`d޸3xFVT }HNx)cl6dB[KB9rraJP)iޏf_X#8=W|pS;ˑ߶1\2[a$EW/MMH9U -+V/g] t<*GP(gl(}`ZdIԅ6iP$J[E#x]TDݻ Z[?HX(7t&ɳ=}YM@SHM\X_XwŸ N?dw߀\ėˁ|J&`:Bf2Yrx0AQp` ,/̜V#SE>ret5Җ t3J@_,(ȃv=WGSTqc)!,̢ױ)'zZtHr+`!&_P졆o=pC#03ao$?gaeޫ8[4[x60Ia?>t5WQٗXEjU2sC wΗw~GGbb:d-fb[dԲL% ~Ρ;gÂ'rxR#VE51L*}Oğa/-vC>9yk`;J!C z5)E N~4;eGΜ>sܺѠ?·2T@5l4%HI⚂.oQ_WӐw'S#6⽪ +ބ3SZY!˽mL"0Mk |g O!52-e8OXru74,ۥ0y\ʨ!WzL[GzR}"ߘl~NJu<0Ԥ:I!h"`ɐ4^7hL͎RA}CA_ki(oyA8^<,D1GF~QGOȮ\{J)&D,yfZ53[]oTٸu\qh[VXcuGI0Xy0Zt#{V(#8d79#j]ԨPi7LlZ}?Z?`ŋ O:%/<ҩ,,n 6< -TLQTa9Qf ; jDo#t%CYpDp?^)P*$l +`2~+9t\!+;Ts=@_y2 nkSuC㞂TIr1 "%ٕޯ p]lU ?wв`W0ygFܭ X2q8I'T?i eϷ[{PXCct[&/NL9E9M۰d^o ܠC@"eOf*yh {'=7oEHZ)b_&\/'X m^~85}N8.*HOMr+\8w^Hڲ"Pa[q=_yOBV +bsg,K[C\ӝaOvas!= e)uT79`qN ¼{:E j 2qXb1߆/Fㄋsgh ersbmMݺi#n&ϟ"1JB15:6yU>y |ɥhNs)9td:xhAi5ҳLȑؗ3yDc(ĉ2f{YO98h^1Hp8hNF /xO7~:Eꁼm,!A-!EM~Z|3i:K[0:ߥUAjf)k\loJp>>>m-tx *“-tF&չ0פr:@qXhƉf/eNc#"~a"w@1tGP~֍W$pE1%; O$-Q-<=~q_wAGwݿOF'c^\2I) QDZՄ^3'Xբ?xM/ >: ",;ɖq#/ruqRx}iK@4=] ѯc օpa+4 t!} Gcԑ؈iER?U-4K`2B^;zcryt T*1CKMDL(fLMcY .+>;g SI\1(s FLC:D/%쐪hmJ c -Qz5EC:މ> Fk> :@1`nIfз˘I=~5<*9HJ~:Ǘw$.t(՝Qճ8]7QOAx DV4-aro[#+\gP%E MAR~\$Prɺ껡2 ]Tk~`c4*\GqMf&5ߪ'kbm,m&:u9']+!2>#b+f_A xV@s!&h )㶛*?V_X.`۩ m׉. =@ P؞{ !_yODJyssSZ?1$mAɭa%bOy%[9t,G$mlWL6>1җa+*<`pv{*x:H5O9>S9Opi,X՜7ytMBq7P"S.'[ {PFjb"`ãVeѭK /C'/ĉUTy_8/صɉ6:Gp.aWwH^D>8 Z7h-l @Sj-hgo;`~m !UOdjN$,cmnO6nw`CO}JV^ySgtւ#˥>tӄ{西1+4YOe3htVyjCBQUgRHvv\fy, \Zz nFZ# Ԫ|Vx83G%6,kI~n0Ӟq-T@_DZ%lWjtmk,Llbc!_{ѕ^lI܆6 y'j%BݴjK?0 ۘ%95 4僸Ʀmū!bΗ"n$dCh(tZ[XS{t~Yg0[%Ԫ֋a HX%,D-tpffag6ShTD [VA3!geC(w,2hM  OJ[r%;Z[+z SJl햿d{ zqK1=R'Q9۽ 1Ӯy6y%/4QSsk@jgYߪNJR Y(~X푒^z;eezYLh%OnheAhU |:;ʶ8dnU/_e:Zx挰ަVh]~Ԙ,% b656l+>xk̡2Syx6 R62NH\61NnIׁ<=5c#OuU^׍phi2_:Ek'c%c30z K[2˂oG72Änף7)cOj+;zv6r^33mR%ޯF$du&6o޺&^xv]B]t;FKktb31hLF_]T狍'9 ,iRBD-lz?SPƱ,(!'a{ӾmIcO5~lĜ ƚޣ{O//UWW_p4g4r]w=T,5MlYHU},=dfdG1G)Qe !RHd2]uZ)(^Ԉ!};QDebi(PrX_Jg!D@"%H)9YiCgӓ^Է1 ZBPz29V?"|a^#:yawqWA, k?ezbu-d C@^j=!YsK 6Z+zDLoҳg ϥ&|noH|$fԘ=]h?)me6W%nWE)::+ 9ٓb ;R+R-fiSxLI*GzY`jiU=u*<CDÄx5)T;6tvFu_zgx-WU(*Y_4k7O&ҥNqwvs4ӫOadB1ɗge@.P9uD+Me>z|O{ BȪtNxZ2xG`Y,ncT{wMf ҏ17|T w?Wt>jDN_C$Lp)/'a7w(XѨ[xлWcp@g W-z-d`kmםù~h1q ;uQט/]jXDv)NOFW֟kqBo !LT^w$Tu\n!b&N 2CSK53bsG0܄q4SQN]Sqg_0 1?`v:т8Rx⣶ȣzvH80R4InC )WUm?3KƼz鮕~QQ3NJurp+~:fZ@]aw"F_hmk(ԗ1^!:L;?>}:toȳ<;֦.BѷMJeH06H=;D7J%S,:>5Iag25B+W_@B/ܶ ʁm[7XՑtsAͮ2C5/mlۯU1g0Ϲy܈F2/e8*qI|5+z(&ΨU^PRNSC\ ztd?XHx2v%9SI&ttd\% ^uCrOޘ?'8mlt _ov7ؗm@{Y},ID;̳pO"Dץ"~nOzݮTk|AEN[a^wCv.C SNWߙ_3D0ѡۑ.w(ctv>2 CTdUwF@ £`Bͽf\QXl"X!DI(7TҰɮ[l+*<*Y4\ZqOG4H63ÆQA_(\X\JbEiSiFj!IrL <*'pAiqDI+{ym? 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See the file PUBLIC (Aladdin Free Public License) for license conditions. As a special exception, permission is granted to include this font program in a Postscript or PDF file that consists of a document that contains text to be displayed or printed using this font, regardless of the conditions or license applying to the document itself.) readonly def /Copyright (Copyright (URW)++,Copyright 1999 by (URW)++ Design & Development) readonly def /FullName (Nimbus Mono L Regular) readonly def /FamilyName (Nimbus Mono L) readonly def /Weight (Regular) readonly def /ItalicAngle 0.0 def /isFixedPitch false def /UnderlinePosition -100 def /UnderlineThickness 50 def end readonly def /FontName /NimbusMonL-Regu def /PaintType 0 def /WMode 0 def /FontBBox {-12 -237 650 811} readonly def /FontType 1 def /FontMatrix [0.001 0.0 0.0 0.001 0.0 0.0] readonly def /Encoding StandardEncoding def /UniqueID 5020945 def currentdict end currentfile eexec `,i"[[5j5mTʻ^+݄fKitrޟm%9۩*++`[&NfA-O!J"|UY+; <Ԟ2?.P2QhnDtw=y0)n*[ Y]~ ΁RzYi[AXm>j"a\uѐ6ӕ#DPx0z Mt{ƽl\4wWJ0Y) yM.aͨVt*BahdxCē$oULYKdz6WG.&?c+@_@Vgs"ӥyDKP#pb82oY)ǎn?b(%9cxP[EMˢwǔ2u E/܍)/(6ܰ>qPwD?A*ҭ qUFF2f2-D}z'dVmzT镪~,>r xLpp{."B'Qs0""0d{K,}&`eTIGay^/~UQQdqG,`߉کŦ~GE>i+N`WJC(i琍UD5yҌÊ6B 2 (=gWʕSS}P4DS1כ@1 h#dP;̄ tصjvEdeQ+NXjEi nw sVwb?aGxOO^w%eF3q*X%"m'mE*l]e5⧕7ԎVki: ;vn"FZ/[c;Z A0y O16?cULc0@.{ь}u-vM mzmQ w.LXw[)"SEg"Gx)H<-ۧ#nefFHvrɗCȷ}J\I' ]gxݷJdįT"0PRHZ#ҴqTA7Ao\,SmkE(.? ,Q9-/yłz;< UV1=˗+$AsM*Vq-yʹ:ttb]C 4Ϩ =NvyR.ЫN>GN%PMT޷`\NVT}AYXZw oevZiQ/{I{8Ïrܵ_V }=fkgөxuEY=c 9eL5IN=Z5ޝ7` 4=|,&@? بgAA :X:lpMq-/Lj~(;uHPqJ i95V[=|>" ;asQ̀ZѶr{2&DėpRh3YwpsΓ=P[/f'ȕ&f%v||`bkM'Oe({-GmFeVbEp!v{n[gp&?ؑDl3q``wS8,NP8'g/.ZܠMbBwY?-Juџ Ɨ|J#-e &4[xyqF<_iVoqx@UKɐ'!n )5n#C*h.Co>ۋjjKaPvPjCM]j+L_j YKUiq#'37cgeZnKP[S8"6*]+Pȕ)'Z"T 18t`uc%fhRcKXDǓ(l/q b ƞ1mi1.e=pV)k&R&Hǒx c|Mu-bWq-<2ӑxr@t̐+9 }6lwm ,][#ǷÝbM'ܖSSGڀ#_mLb[pV͌mK=lZc6/./WX181o<H>ՋgzY$>ɩHhUHmbt&"';o{^g0%>AXY¾oA[l>dImbz΃H9:ߢ\i\<(@ l2SY\M p˚-{s/Ym PQ4bDp2LCc_1 oTLR,B=F'UzP+%tG7Zc5:[LCi1w80gӬ(9be>,_A\v-.[w(љE:g)[ &j6< (U5WP4G8-H_hu9 MUj߱Y5ѣoDʚTaMFq1 za -ſӞ Ƽ,l:t!`Ĥ˪-m aM~L TPQ30!S6[&Ɖ,Oɛ8CrzhO5%7 1gmT:n=X1سR5(oaրdj& B,a6~mJ ߢUFϲ*}nXg Fߴwb"GvTK;k8_ ti+.%IՇR)`#. yLyAPQ^ðXWCq> ln $Tw6qʣdAU}ͮ4aGTSյ8m!gIOsljOHܟ4wʖ )l-\*ټB>(ܓSRhT;Eq~lIy5(^uDFCZRPz'[d*uإ@8 -rM ks2gU (U/o,eUߩxj)"Ҷ.f] G#|+ u?HW0taFjߌ@OҴᥝhp['x;_&4PЛ= c72V\?=lŌ'+(A6Y$-itz&-b6JnB+yb\06YH5TJ @7M~R,#d'tzai}wv6{/~8e4aiS̶ ",rIyp(($t}a4%!jdc>+0G9 10ȫ3g5{cV^W)E) `x1je VArÀP$s **_fF$IH]d :e.z8Wp`mG9gyW/{*\{K p}7`<'.Ή.jŇ=WYK9xB˳3`|r.]<9M ƔV)jR7R n`i55 +}"J8'@%뵐48qЕj|EfZk>Hf)+y GԔp `d v貲 YLI,%ܧt 'DJ Ǭ` n{l֮m [D'Q&@Nņ07ZG'^W`ku놠^wMnC ?~pt#Ϡ^K"Du.K3~2mu#[X:C K-ő .KqKU!ξbKTxX0v/.4\`&HvZgaYw8n!#O{)Z[Y`$(Q96ޚ%׆L:+B1w !ӎ>F#'D߉o hرNuS:rQ{QOiRa M%1[ydE=J\5r)1aí9զ.x82!bs-8 5waF#ӿ-T>|YphzRܓD`ȐC[4!' wثj0+JD~ell]![B/qmi'swJ9 B NLݜ%DƍN2u,\RˆWFo V5DaqdYz(Knp55P&'q{f+Ω{*5#]lV\` Q[% kbJK~2"/{]OUNMz8bct۔"T riTNt9(pq叴}KyWrZ+ ; 8Aԃg_lfƝ3MwՆ>֣ d L#6kO-J1{V@ٵ}\wuݬAD8zBVI2S7o6tPZE#\TTrB>>o fn3z ]:JEZ2zcR"1% `g)ܨ/øRQriTX/ s>2O|0}V 2p1-Ѩ^H\#PݘQ-o4K,z$1nCtB;C$s~ٕӈ$b&+sg8\Y|~G`;)7Xne7I8 Sw7̅83g7Tf&ÙcU_˙r IMPZcuQUt_{AUks?uϝ\YyvO0n$yAƟ?XqANFc:_x[Ne"Ff傱nϪ8;]L6ƬU|b;@SGm6V$8CYRwdz^ MULW {j (Eݪ~ۓc20k֑K.b;=vOHƻ`rC&v*D{ij>U} oE~`nYτ%6_~TɢWыJ,n uõO_N9, :@(˲m)xcUz>a~/E"y&shRڔDZӕFRρ,GɞP䈞Eu_9bt g7=gͧ,Р}!N wI- SeJ#ʵ(,z6dݬ_}d"$ӊbdDo3K8цi'AMeHFޓ3+nd-`2ys)M9me$H\[BV^YǸraLTccM")e )EoYsX`P^V%lsUVOeCQ.ZV&ߝ0J@.Be_ԃ˻mBlG!?چz 6ip(ί>C߳GjlQ1 mRR/r`fqrt@˜*dMށ=. ]U IgY).FCb׏2B=qTi8h(` ۜYSNz{ ZBj+Xk!V|H9 BLBܷD#$N(it@$6h!$Ѹ) AH'Z%zzɀX>zeeWdRpND4.ǔW$4~5%qapm]۲3ӛٚTXЃ0U,< T:b.p2;o93Po 7^ac>.܄ֈwܣHb倛Д- 1۷ĴF ^ i,GUzWż|ddV@pw(zb"ߑ&-grn"RC4G _XF-sQ'LסnKKh,86ʃ8IpF "Ag/%Nd3T(qEAFJHUBPeɲ@ogVNsYT93" O6q? 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HGJ[huN( R &Mi!KE!G':ݻJi~dH͛/R0XX?W2p1mEi<-5҉$+4 @+ݗpX^-">_߯*s_9OUuy"fNᝦ#\FD gF<ǘCl`O͏r8% 65* $ ]0 ?"vvfܚr E jaudǖlD='#p RAlSd9>F ~I dҰ?ڠc~p\eR;/#炜~Kɀ:MS9krhZV^48Q&RČ",$DT;5.~ͦGstBD8-[bl?_%ݟ^HE3u%W!Цgm$iM9d= z+UyOUb+׸&IFJ[FRNt&W9N9Y}x~YU" *K-&qr>?R9^fJ/uQbߝ8]L|`$30K _hgZw,SY~x)=T}<<s_NU%]c}n+(f:ZkPDK=V`2Igg6|}Mas"]~LiMVU%+uOg)Yn! uݏdSm+;HH_dms.,&{ ʘRoOۆ,^k9/(oE%5?Sj-WlF2pʔbHGRμUp!A(0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark endstream endobj 74 0 obj << /Type/FontDescriptor /CapHeight 850 /Ascent 850 /Descent -200 /FontBBox[-251 -250 1009 969] /FontName/CMR10 /ItalicAngle 0 /StemV 69 /FontFile 73 0 R /Flags 4 >> endobj 73 0 obj << /Length1 3611 /Length2 22718 /Length3 533 /Length 26862 >> stream %!PS-AdobeFont-1.1: CMR10 1.00B %%CreationDate: 1992 Feb 19 19:54:52 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.00B) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def end readonly def /FontName /CMR10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 161 /Gamma put dup 162 /Delta put dup 163 /Theta put dup 164 /Lambda put dup 165 /Xi put dup 166 /Pi put dup 167 /Sigma put dup 168 /Upsilon put dup 169 /Phi put dup 170 /Psi put dup 173 /Omega put dup 174 /ff put dup 175 /fi put dup 176 /fl put dup 177 /ffi put dup 178 /ffl put dup 179 /dotlessi put dup 180 /dotlessj put dup 181 /grave put dup 182 /acute put dup 183 /caron put dup 184 /breve put dup 185 /macron put dup 186 /ring put dup 187 /cedilla put dup 188 /germandbls put dup 189 /ae put dup 190 /oe put dup 191 /oslash put dup 192 /AE put dup 193 /OE put dup 194 /Oslash put dup 195 /suppress put dup 196 /dieresis put dup 0 /Gamma put dup 1 /Delta put dup 2 /Theta put dup 3 /Lambda put dup 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /ff put dup 12 /fi put dup 13 /fl put dup 14 /ffi put dup 15 /ffl put dup 16 /dotlessi put dup 17 /dotlessj put dup 18 /grave put dup 19 /acute put dup 20 /caron put dup 21 /breve put dup 22 /macron put dup 23 /ring put dup 24 /cedilla put dup 25 /germandbls put dup 26 /ae put dup 27 /oe put dup 28 /oslash put dup 29 /AE put dup 30 /OE put dup 31 /Oslash put dup 32 /suppress put dup 33 /exclam put dup 34 /quotedblright put dup 35 /numbersign put dup 36 /dollar put dup 37 /percent put dup 38 /ampersand put dup 39 /quoteright put dup 40 /parenleft put dup 41 /parenright put dup 42 /asterisk put dup 43 /plus put dup 44 /comma put dup 45 /hyphen put dup 46 /period put dup 47 /slash put dup 48 /zero put dup 49 /one put dup 50 /two put dup 51 /three put dup 52 /four put dup 53 /five put dup 54 /six put dup 55 /seven put dup 56 /eight put dup 57 /nine put dup 58 /colon put dup 59 /semicolon put dup 60 /exclamdown put dup 61 /equal put dup 62 /questiondown put dup 63 /question put dup 64 /at put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 88 /X put dup 89 /Y put dup 90 /Z put dup 91 /bracketleft put dup 92 /quotedblleft put dup 93 /bracketright put dup 94 /circumflex put dup 95 /dotaccent put dup 96 /quoteleft put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /endash put dup 124 /emdash put dup 125 /hungarumlaut put dup 126 /tilde put dup 127 /dieresis put dup 128 /suppress put dup 160 /space put readonly def /FontBBox{-251 -250 1009 969}readonly def /UniqueID 5000793 def currentdict end currentfile eexec SQM((0_&()c(CX]k`iʒ\.54"@ fe*nЏWslq<*H"fJcu` ?4-hg3ks6g.Dc~.dN1­)3@nmjM@{uۂV7~i^<J@@}ثW Q{Sm3cMC#m0*$R1US\& e)vҘ Db:bT%TAžu j@K:?ŇW+T^~+3!2` is zXa[({ [C{g T;D&Zon ʪ1|, q|:vS)&%{#+"a{=ԖD!^A:YF<~wFGCwΓW wWzic~n-?Vd"WRV̐moqхp Tw!7\ȳg/14ţkoLuTfu]uH7h n5s˛A ?r(N:3,bn)hO3p&6|]xP_BVz\n||3"~ 071]v@FjXU(LWsާv|x @˓:HE!-NV;S)'#0.4l砐ћ`@\޸a{,)zbX#_D-M f`Ξ\њT+o||˼$PӧS֑{1@:" tL'b|tu9c嗔ImUoH-հeK'LCG8d$m2SWF6[+hMld%e7m.SHz|DM:ɜfZoxsEKǔC.l:X4]1xk&HZ\;m946f2@8E>b *ڽ 0dđî[Y.N)pd~*^h)0t%|Rh5 &dmeV/@dN&lȡ1s̜f k-hA4bH$d"P &)Ĺ&iC=F3 T7w6 %Tg͚:۝eb榭@5nHGln&nl(5tB3n17:v[a='M_;M柯Fo]_H*|A7ppk) ٕ"^ԑ NqE! m)|>)zqƮt,Dz!uɚk $oڠ./tػu@C]ƯY=RΒw۾)op BP@O/]^pddɒ4>fH=GO>ו=NIWv] 2Z4/kp٤$|w n HjlH`vOJ?ٿ'Ynd9ItwM~jXԇP c,ƅhy1;tO9Y XƩ>z[[Y1Cp)S]s#<Pn,M՜uf+Ĭa0?OSl4Nrܴ4(_ɟ= *KMγ\RadNubPPΫQ5PBܻn AaO,6#1o#u뵂 s˴⤩\2j1Ow9崨hӱ@or, |dKh 9^W3.*Ы\/~$ٳH֏?1K*ڡJ6D(d'NGDRpKjAʬsl&O;S)V<4.:2$S%tEd}R5 5+Xj'gw%I)%3y6?+ "G!iSs`nSRTb*Kـ2<Ӄ$Ϊ>)mW'NCCCf*xnقdb$ c[ւh>9D$NP%o11xN(3(zt~@ } O mSCspNE&^Eb)s٧slqei.Xgӌdm(9_&/Z}>&fQhW19 QX:T>$p{7ō- dEDFDP2j Ag>E=絊Yΐݓ^]}hOP)ECTW㾓z+Y$ݢ jRmWzɩ?&w蠙x] Ý  DjIXa y5f#LI󲸪jԘw?w\eҫM ێV;ڍ ʭ:R{V(eJt'Qtr:o8 %3IxWyMBF  `\-R}=D -0ƻY&+|H}Ӑ„-:ziz)/D vJRc{BTxK^NCV &w7rU];?DQ)` k/ҽowBb]w{d:1F*g ٍ-n<*ӆ|l8Q^pܠMbڪ4 n56XuONy9^I ˀ\jGvH kwqQiZ@5z2U[.#- "'^m샠WN7|e]}mgV$vsG ~r6QvO b#a;"ix\ ܆<C%NJ2<ҡhWO/$IDK\iV6sH1GeoGtRx~T @#7z{~$7U Q0:2=q!env($^xĀx;$}=z>~m!7 wQlSjQ- QE׈F꾙qƷכ .4Q$@[e7&TMJqX2 obaS];/̮4FzbӱR&1dP"] ,šCd[9LR,*`PLƜ> ->\,*eZ=rt࠱btݮ P{z1Za]+DN`ԧJC&0ʸ܅Vi^9P#߇?ӕăO⡀مU*a:6QJ}@$hs4QL^eZgY`dNwikhN i'~RLVT,:-DP%ge^Tb ('>̳p!8c1;Qf_\#D 20;3B'ơCqj´lW.ɭi:X |ݧkR?LQC0ԓ =_+dxMSmI qmwd}q(zpd%wv&Nr*|") 8nZ ds{K؆ ݹ3f _ExyABso遟LwMzk [L/f>jӄ luZQ&*|^UapiwBՆS\8̨C(ā>0X nj#] |Q渙*(Vi18ՠ%XxPw]<_M$b-C\|*U8jP߆H;(D*.И;wBA*ة%hbN8##Opq'@6U<~%Eo[fM_!pC2k 0’Q, ?bh);SPYf"bQn2|*r .BUI6[OD uWXjӞx=.uI˭&?wm`kc:KbDRh'w:1{ZD2buA7h6v;ج_$6x9,NS_ hkSZIV11E˦jnN 6}l22U5 Epc.۴||t¬p|сih `uT`8X=Hӧ@U-zU`+=-dOr蒪q=gR0.gZHiAhوrӨ'zܞqE\5Zxs&]@$CʀՁ+ʸ;i,75s j8#ޞݟ@>xÆ4Ua˔7LCh|C0kiFػ) .Mpt;"a'l'<^oZXkAl\) pH2.6Ր=x1qGWP֦lZq.ud=*^\w%ޟY>CuCes^W15 w#"R8LoF'A_F/mbG[A 85t/E8M] [No?pzeuM'1_YA=,d^\j VβyzLʟ|4Qy SN+>v>Y iv$IHܢH@S +KIKvj)o.ju0u ޑ) vK_&KWqsX޺'",2^HM<b!?JԗDF^]M%f#F:U8 uҴgBTd[R#SP\V_HJ`d&o7AykͭR.lCh\/ ɣ1O;Q&&D<|vOuXIA0rbAĆ%5 ,Q p4 Qf O~,͡p*F/s;ҟ9dwUHt o5(~+eBAWEy|A}y1nan?\>@M ý9 PIޚCxI3tkodolTWQ+?4no&zJgu_^"XI㵿F(G:40<%$׋{RF:|#<~J\ʠHę9zOU#6ޕ}"8FÐ$iB,H_BX]bd*h OV5NUOe~l` <`EwtӉSH*zzbTz`4lKPz ivS힅"1g/y 1\Đ3ӂV[`6X/2/bCU3xktC!xTw놀= Cp:z AYDGw80'mp"$H拶+1óBw9\9=H9Pg;er*R,u `EܑdQ"{.rliPEbkL1_]oS+'s~/"r 8* %Tby3" \54]{6LCx ç,Q)-L}Cw?&*2x"Rο"t.l> gc1g5h mOjrF)"Df! yJ{b_,Z7# }UɘO~;nPGˆkcElŮ@73k/je=j-?* ՝Jm0ILol/1[(!a=gMK^~*ǖ.`iGi^߿߼"tؼUN4r`I~ܯf<#č!Xqύpm9: f.(\Gg/s8!lr9C $ ('bC lM&jb[S.$ ҥ  j%5>o:H0=ͷ 3&sݦ5՞D_1b y,*N`[˾CPBڒȔ?"WimM_/UĔR4Z6vզtNL]®ڤ-7Ϗ|>|A>aub.DPqђPTp(ΆKeTߏSv&#AZoh &'9<ĘsӧO {>e;FP[S =4"ޮ'Od7tNje `Gp®ޖg+U'וl"mY>85#׆Vo+2ݑk{%񎠀!A;^_d q׆.᩵(ee5kS4TeX9h/Xu0:;-t Bq쁿fg-0/ RC/8 ;bcbD OE _>?ʎ@ZۊĀiukPyrFw`Hi0pFX6@͉wwy}`W#bB<A3bӕ2bÏ3hTCW%eo2’V :C/CU6PDvtw4diq- <DJMs(+{Rk zؚy]?ң_[a[e6xkAI%9 ޵(B}~\CO{GuɀFR՛ͳS#%\2JM(m$"Rhu>R"eQ v(;$+^>;5SIɕg4kchsJE rs@1) FZDhʥqN`7BnK) :wGGZWCql9o0mmU!c' I'+Écr3+~)ww F% ?}Ÿ[c'AJ>#䐲qdg߼n>Iǝ!fT D"ãot2id l:Qaߌ^~l*ھKG|J{Y4IOy ew222u_6sJhHŅ% Wo+U}M8 ѝQK F_Ev+g[%X,8 a*V$>@:pc5_;F[4$I+vEHȌ2߰wQCPX AnCpM?K5f:)L!]1;#gVb|5i{;YOp bva]*$CTp`Q ,>*V&_/zx39= `?Qp?mfNb&fAnW8ml!R)nV;_}>Inw*<(k!H3/yd%]P&W.XY\&ٸyL^xTDTm(+[34,a*?SM-k,?< &z-ЛD4lŧ Mcru0xk͚+x:[vclNJ$RAp?6/>!-뾝7zL3 dX3Btvb7_:IpgU(3Su5}eTߡ( n/_()Dci]xq XCY _:zCIǫ=]njj43cd*}4tT g F#Js 0UimrĀL.P U~yPngovJLHCM$N֊A-2~mo]D—oRǔV+򆾇'&.Q]&dQ}YA7Wd]Q G)NKYQXN',m(u=C aTaa9\7#9d-a O7(#+Y%VܱSlo\c ' &RZ̞Pvw_?+_sFUnw{YD.%緽O\&(m/16TIS,k+}ź*'=f/{P6xS=[NҰM41JX1՗=@">:i0W/ڝϊbWse-UNή7yP(;s2;5粵[;4257܀%g_*HLSijt 'M=r9K,ސz[W@mvA)7hSǸoi' /턋ە>x6+ ƌ O[`}rL$mOT",NCL9vuSÔbd _sHIRRWlIS/(DBixq"w ӑDQNTpt-"RT `vEN7ʬal_yƦ>i ;% >v8{''U' 䚼y(;# 7 #b[8-i"˽WEhv6T4xۜcy\N=IVhlͅ齴͌)BOaˤxiPUu" 3}A+ex4dG0mYgFx+ : A-K+mSQ%).Hk80Hۛze o߉7)Noxo(a`ԕKΫ}lu3bڋM+"jM^\yP>*`XɘUoh,hgIi`Wj`MBGc0(+g@*$[&tYqx|DڶI>T]̆bi}$c x_u#Q5>ƃm@YA^A-p]0lu[;nߨrhx Q*H/,}b fӾN2rBHu 4+|6qʴ92 x1xVEٙfS/- $M\A1Pv·9Xzݬ0}4a| {?q"+^_w*Y6Jl?7n_+=(\Q8!^?PDCܞ?'Daiq˒/+ԯ;qZRPɾ}1#HRu=t+{gݝLQM )3qa9߲oHt( ،孋MM&#/S 0>+r|D!1 px7oo[@й+ -\X][[<&CH3_2p;)iw+Gb>n T%p"pru̖f'2b1dLz[DΜ.*V[ K7C hs+@靨Ww2xKR03™e@nvf4"{ i3+?&2mPYOR`ChHP9M+KEstQ*p~"u(j.dt)}Ҍ1YiIEԃq~H 4ꈱ~ ^9:.4崃yh^'nҧ%wV>4$yuóZ*+\1gɧ] sךi}Uh9au`c=MT~bzBTw|JL*DӇ+j]EkNvs"RHӉQpJR'F >Wpc?cP;hjko`:x LM`#k?ߌq#p&FDiD9[Z@Ӯtry >-_\9U8/PjXƋ%po!wPmLd7LۉYE^RX)lbM*ޕM[$)l9 q+(WTG%؇oJ7`hKD;j~6~7(sB y?GPjV}~ mR5P-=xFBMH?m_OH+t4xo(De#E.?,g;6|Vfv}1yJuN%TcNlRRnevU[̟`ݺe0;z>~ }/}|i:30*+M[yi:zLkI?=Ȟgݝgfi8P ϮCZ_M"Q}u֠ʔDl8?(=gɫ$;ʫ,7ݶYMQ[ǯb/٬]5Cѷ/ inwT>[-6Mtxΐ1/+Joߧ% b}:խս['W#vi?Y !!N:ize6&; `vԵS;ڣ_5Z\d|G,!b2!Me|فNʑyu40{ wE~N8mS :X *: ?dR='^*I[95Q?<5doё*kEN\gXk5-EXDX Rn,F>ui-?X+v8⺏o*Z 􀠵auZM\@p!2˄j~_ k{"pktvz@7F.v?*8 ^aʖ"QauEB2Ԍ t.#^F|3~&uiw$ؿ!6Pk*`Bφ2\B].)-W+hA2B,O|>Q޷r"qsmAJgrVK,,H6PR& DIۖ2yf;|g._&V*5hq{֟~ ?ɀf6D0W~\ҷI e5 ~rN Nql":_ ]<!%6apDHb )$3Ȋ3"n!4r1m6hgL2\/ d{-L_Y",v-Mf"{20OB鴳<#懼3`x`vce;ǵys[Au2l¤( >lt}ƫ p+=v<6y, wg1Lž|Wa5awkNwUxXX#a^ { dۡ ߕ\Vdg&;'Qʜim I`䙏_kPkTlʇQ`sRUQa) :Qq놽@X1o]S2']tBJl0N>~nͨm۝<)\mCJjzo`@}kH}|F k4&a#XY% ĕV .N0U@f.W-s/佳 Rohq 1V%fJ?z5Nٷ^j #*_U;kXR9]\xhtۣ MEa &,f7Mn|\_ƙAec>+(PoE$p +3u4TbvW}ilW mN(@Xbkg %B4veӠ❜Vv>& !!eki`gT&=_f2y?iuO6"]24tB]Ʊ䢙v(.55*_01) Iᆵ]rD?pvq(hzH=zhsECLu(0 D7ԥ&]OT-I5feAQ 1-"?$#ߺ+ʝKVR Zȯ&4{;,O؁X1{mXՌ-Fǐb ܀E]̯Y*TpN;ZIvs3`/ۥ{3F^Ui[{e}m)~dzoi)D Ь&i{4pHTÁle:>2A$v\a*71L$&c+}vk(+tnNM@LzEA ¨i^LrY}̲FCARݤVH#;c ݨeJl/Y_oРFSFUL7TCU5߱o8{;"HwR=DϰZWZ>xQ%UӹArT{0>>~X,>f,_sL8~\2[,'C\2R(Pw;G]5bWөi}TQ\@`X]mDs&A˵:? ]í19tXlk"{(5v}B9iCyO*Qoj}+B?TtԔu iX쵐ÈsrK (**Q=']v1'Ϣl, ڔ e_hFCsN^znC0v 5|4W:# t ;׋rt_m0E66+(m 8"5V7)(,d@[|V*$ 5:nF2 vuT}ףo/2I~VCoRk|H7\TB9jONHILWWz ;X`Tv% ~Ne*'oWE@]PuP*~xy ݝ"^z:}Ngˠ4BwdoaY]lBSSó2dÖ˔3s۠W0iĬ˽nbOԳa[U ~^Goqj$ZmSEMϔ9w3N:Y_6c2ʢD)`-!LVY+鲏pwCj. Ȏ;}42| D{. +:(-,[|\4nݗja(T~c`AO8Q\9Q3Ηu1 VLٺFhƭy,U )^j*Đj;aQna)sp?[%G͒MA@v߁82~i/$xx BwsN:ޟq~旛G*QK:%7A$E^o'] ?/UE7( ˕Zٗӛ4`Ff cAnkLL\ױ -j:iR V(N4xw-zŹ@ƥbPR5A[(\r!cvHC$myo;T=@#^Z&to o:Zr;znE++Ծ]=,l@MH:dwΠ}V/ ]#ՌYLFݫŒ#7'A4=A1k/ \baAT1 pnNxT"U0'Zˮޤ7*cB \ %+ Xfx_(4\c>@cGa&+8WY~:#tk&%aXL@D&lgG&nѥԞ~X ).J5)Y.ʒsls7ZD oAwz'?Lw8@>\aO>֦W6P](O8?g맥~mACE8䕳Ó;[2R9~Xy=;v|;b?p'ke@=wPVPg/P$;_/X ҂k;9y)xN6;zy㎌}텷_BS [)3ҋ6zl+tV@/ճ;Gq+)!)u_K0Z锘c+I_UHɉ&KDTT$4Rn SY\$wMˏ4q1rzXe. R³kL 'F.-Ჹh++2v@q -  1KEz/0L0WPh!Ѷr32Obٴ^ =w;3 _@L:nr1ZfH5(UқgO> O@ţm!'GfCٟ_]YussZa&)3F@ aV},pݎڑqF׊d.,>Nbv@_>}Z7gf"\5)1dwgsQu]]+#$8D%x0Z}X݈MljG V{zpD@R73mi8m˷O%zoj#H%G|)h=Q{H1#x4 pY-f0}$UfFUEJ:KPBZ*bdRaen? Q#(z<ϖ>{~ĠbM0\A^=^E^ dg&%꼖*},/0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000 cleartomark endstream endobj 88 0 obj << /Type/FontDescriptor /CapHeight 850 /Ascent 850 /Descent -200 /FontBBox[-32 -250 1048 750] /FontName/CMMI10 /ItalicAngle -14.04 /StemV 72 /FontFile 87 0 R /Flags 68 >> endobj 87 0 obj << /Length1 3667 /Length2 26077 /Length3 533 /Length 30277 >> stream %!PS-AdobeFont-1.1: CMMI10 1.100 %%CreationDate: 1996 Jul 23 07:53:57 % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. 11 dict begin /FontInfo 7 dict dup begin /version (1.100) readonly def /Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def /FullName (CMMI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def end readonly def /FontName /CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 161 /Gamma put dup 162 /Delta put dup 163 /Theta put dup 164 /Lambda put dup 165 /Xi put dup 166 /Pi put dup 167 /Sigma put dup 168 /Upsilon put dup 169 /Phi put dup 170 /Psi put dup 173 /Omega put dup 174 /alpha put dup 175 /beta put dup 176 /gamma put dup 177 /delta put dup 178 /epsilon1 put dup 179 /zeta put dup 180 /eta put dup 181 /theta put dup 182 /iota put dup 183 /kappa put dup 184 /lambda put dup 185 /mu put dup 186 /nu put dup 187 /xi put dup 188 /pi put dup 189 /rho put dup 190 /sigma put dup 191 /tau put dup 192 /upsilon put dup 193 /phi put dup 194 /chi put dup 195 /psi put dup 196 /tie put dup 0 /Gamma put dup 1 /Delta put dup 2 /Theta put dup 3 /Lambda put dup 4 /Xi put dup 5 /Pi put dup 6 /Sigma put dup 7 /Upsilon put dup 8 /Phi put dup 9 /Psi put dup 10 /Omega put dup 11 /alpha put dup 12 /beta put dup 13 /gamma put dup 14 /delta put dup 15 /epsilon1 put dup 16 /zeta put dup 17 /eta put dup 18 /theta put dup 19 /iota put dup 20 /kappa put dup 21 /lambda put dup 22 /mu put dup 23 /nu put dup 24 /xi put dup 25 /pi put dup 26 /rho put dup 27 /sigma put dup 28 /tau put dup 29 /upsilon put dup 30 /phi put dup 31 /chi put dup 32 /psi put dup 33 /omega put dup 34 /epsilon put dup 35 /theta1 put dup 36 /pi1 put dup 37 /rho1 put dup 38 /sigma1 put dup 39 /phi1 put dup 40 /arrowlefttophalf put dup 41 /arrowleftbothalf put dup 42 /arrowrighttophalf put dup 43 /arrowrightbothalf put dup 44 /arrowhookleft put dup 45 /arrowhookright put dup 46 /triangleright put dup 47 /triangleleft put dup 48 /zerooldstyle put dup 49 /oneoldstyle put dup 50 /twooldstyle put dup 51 /threeoldstyle put dup 52 /fouroldstyle put dup 53 /fiveoldstyle put dup 54 /sixoldstyle put dup 55 /sevenoldstyle put dup 56 /eightoldstyle put dup 57 /nineoldstyle put dup 58 /period put dup 59 /comma put dup 60 /less put dup 61 /slash put dup 62 /greater put dup 63 /star put dup 64 /partialdiff put dup 65 /A put dup 66 /B put dup 67 /C put dup 68 /D put dup 69 /E put dup 70 /F put dup 71 /G put dup 72 /H put dup 73 /I put dup 74 /J put dup 75 /K put dup 76 /L put dup 77 /M put dup 78 /N put dup 79 /O put dup 80 /P put dup 81 /Q put dup 82 /R put dup 83 /S put dup 84 /T put dup 85 /U put dup 86 /V put dup 87 /W put dup 88 /X put dup 89 /Y put dup 90 /Z put dup 91 /flat put dup 92 /natural put dup 93 /sharp put dup 94 /slurbelow put dup 95 /slurabove put dup 96 /lscript put dup 97 /a put dup 98 /b put dup 99 /c put dup 100 /d put dup 101 /e put dup 102 /f put dup 103 /g put dup 104 /h put dup 105 /i put dup 106 /j put dup 107 /k put dup 108 /l put dup 109 /m put dup 110 /n put dup 111 /o put dup 112 /p put dup 113 /q put dup 114 /r put dup 115 /s put dup 116 /t put dup 117 /u put dup 118 /v put dup 119 /w put dup 120 /x put dup 121 /y put dup 122 /z put dup 123 /dotlessi put dup 124 /dotlessj put dup 125 /weierstrass put dup 126 /vector put dup 127 /tie put dup 128 /psi put dup 160 /space put readonly def /FontBBox{-32 -250 1048 750}readonly def /UniqueID 5087385 def currentdict end currentfile eexec 4y9B0i H1r^ v.Hntµ'W"xp'DpԄ&,6 6WS:W0H:eTA7J.>Դ{8"ahγDn'$8NC z[wM 3FSj'SKx=x ՊE@ؗ4 :V{B`C ]nlu O(["lJ.n`(HFgەՍ"Lf $T#ub&eKԔ.u'<%Z|*+O $:I3!3XS!W$z;Ƣ.Jqk mgt%X-U4h B{U,HX!4;ӹZ@?7 QT|bYg>>d&cZȶee@)^t}Y,Uøpj%BS N3'2c+Aϟ>_$Ίc{$X" Q}i}νG޸T ܮs'nk}26stٌ ۄK\:юd$ 9kvb==ՓvW;Is܍h- 1/uSv2477W;͗Q\- 6j2wrxs+d+I4i*J ?pחbԇҸ1lJD`;̎ƹR J.+f;NhbzaA ,ylT8ۭe~xyѾEun`H#">W.⼕Ku5n vS>Kꭸιt-4ben̉a  }:&;e&M0hc m߇=AGJl6X6ci3"ȸv&vg; 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