THE CLASSIC WORK EXTENDED AND REFINED The art of Computer Programming VOLUME 4A Combinatorial Algorithms Part 1 DONALD E.KNUTH
窖到远丝生 》代进 自手元抄毛春 Hownage入乃以
o f VI u me 4 mi ms Cf v1 u e4 f i ue s Aae i Cn tmd Top utall uhheh all gad hsh dop ffi gh nthb k y mthi dop ta,h nthb knthd ash i on mosnt nth uhasvtr -GERREALDB.F c th f hsvtai n aj whi .vh EN,IBRN"F"dBi F"ddto vb .g nth avnoi ai g shavnoi cj uo ghi uh a umasb cj tpb ai .ndk h,hsd xouufilh vob f1.i an.oi cj h,hi nu b ad fih hChvnhg no raeh xlavhk ai g b ai d a I nnlh xsofllhb mll fih xshuhi rhg mt.vt b ad fh uns.ej ai g ffiasshr 一Rr'siDCn rDie'RB.c th vg,hi npsh cj nth“Iph”asflpi vih Cd"(2o c th fihlg cj vob fl.i anosal al osntb u .u noo,aun no vo,hs .i a uj'Ih xaxhs os h,hi j a u.i'Ih flooer -s DG's 0'0Es )EA Cd(t k t.Ih Sounlj'a'aj un all b ai i hs cj xhoxlh .n tau fihhi b xsh uung pxoi b d b.i g ntan nth upvvhuujpl oi hu ash ntouh mto ta,h a i anpsal javpind jos uol,i'xpfifilh ur L.jh .u jpll cj xpffilhuk ai g mh ash vallhg pxoi no uol,h upvt au jarh nt somu ops madr -REe i D'fiB)s Cd(2to THE TILat Hr Ii A d nbi crnat rl nbi Agto (h Abb a dsini re lisno sgh ei g Tghdi a (hrr fg krno Phao rl Igrri hoL kr Ti EgmI i.nbi re lisro m (dbme i In hnmei ov finfin n rooornrno.gha Ai m (dbmAghmr I gsi nbim thg FA cr nbgm i Esnt t hnmei rssn TeinAiih nbi nAr gIlig ghsio rl igsb a(d itL q bih n D Pnbi li di ccihngwt rht rhi Agt Ir gTghdi onsb N-ghdlr Ig Chgmi vt I Pfil fiPxgha Toilm kdbmifi kgvy;omTt.nbi iogwr g nh cni cr nnh Abih n D 4L Mght rnbi Traliorl srme (hgrr Kgwigrni hog i a @snoci a ei rAL k fi egoe'mliorl qnicnTho ihI Ggwt g Ki Abih srme (hgrr kgwl Fevino gi crnaia.crmi mr f a(ffisnmnbgh rnbi L EBCihsi:Ai nbi f ght gTghdimihnoe nbgmesrhlr T rn nbi Igrri h? Crhcn fsnTh:Il cr.sgh onsb gh e ei Irnha qnPt? (Ehmmi gnTh:Hr A mght a(ffi ihng Tghdimi hnoe i Bc? (f)Gihi gnTh:Cgh gwg Tghdimihnoe 1.e 2.ooo ei fria ct crimgnGgwt? f)OInm gnh:q bgmg Tghdimihno mgEmi r Tm(hii rxe )d(fih gh re lisrfi Inhsnth r? Egsb rl nbi ci qni onThorn hornmr ei (hrilicnhd A iclisnrr-ghdlr Ig(kL
! " # $ % !! & !! ! !" # $ % &' ( ) * + ) Æ & , - . / & 0 - 1 )/ & , - 2 3 / & 4 - 0 / & 56 - 6 6 $& / , ) "
f Vl ure4i Vs r4 Aan4sf dre w T cen tfsj vvt.ieffo tn put la topeff eg tfTptffi tr nswsffl tnnen laT,wh ntmts wo pusp.d ut ff-Oz.d t is ffffep visi t oxGGvGf vnevtnw Tfipe ptfF veopeffor;ut pd e xoj acp bepu ye fipe tmtfiSffaj btntl ovepo.en bepu frpe el I S flaj btnt!ovepcEof Tsnwh.put'o sfil zoj acp i ueeot btpd ttff pde tmtflo en pde el I cEbap put vo sfil fo aot efft eg tsiur uao dt isfr(p Awtfsi ph Amt oepo eg tsi u vsnthr u ntscefffry svoe vnemto pusp put vnebvtj uso ffe cevapeff d utff -OB en ff yt fftnswd utfftmtn put ffaj btn egel I msato ffoxGEGf el I r qffeputn d enl o."sffygenl vsnfryoi sfftf Tpeffh d utff-OfD Vx en-OfD. gen cej t frptytn Dr efimrtnotw.d utff-l eto usmt puo gerj.6eh.r-smto uso gea fll sff tvtys ffp d sh pe i effopnai p s ca sbvt vvsi tj tfrpkott tf tni ot xu 2 ed j sfih tootffpswh I 3 tntfip vsnffyo.By.tfcW"epo.d utff-yned d BnO xE BaOxE BbOvBE Bt O xzFE B (CO xTlj vE BO xFffoffE kL BO'j jfFE B O'vBGTxFFE BO vz Btf j xfFE Bd O v BG'TGFFE BomO'Gjj zzf vz Bca O f BfBzBE ut msatoegBamsfll Bcad tnt I tptrj ffti bh 5 rP nskti,T?r"s wtp.sfil rj aT ff vFFf s fll vFFzEott nrot er fcs G rre3r 5 ceFICTTkvEzL xzx[xj FrH-otspS esputSsfrpoisvira spef cayytcpo puspBj yupbt neayuwh egenl tnkf-Fy Ado d utff p ffefrOtne kott tf tni ot zs fil ff ssi p pu 6 vntl Tpeff panffo eap pe bt bsorswh i ennti p Tffsw,ffed ffi sotar j ap ffe of vvt gerj as svvsntffpr ut vnebvtj eg"sfrygenl snnsfrytj tfrpo os of vvt ovti swi sot egs ytfitnsw i vsoo eg iej bffspenswi uswtfryto i swtl exact cover problemsr qff?ti peff Dvrvrx d t ous wopal h sffsyen puj iswtl fil sfli Tfry vff,o."d uTu s i efimt fntfip d sh pe ytfftnspt swcevapeffo pe cai u vnebvtj crf utff-OxB.cen tfsj vvt.puspj tpuel ffttl o pe vtngerj effw sbeap'vFF j tj enh siitooto gen tsiu "sfrygenl vsn snns frytj tfip pusp Afll ar uao put ns vat egB isffbt i ej vaptl Tffs ntsceffsbvt sj ea fip egpj t bh of vwh ytfftnspfry sweg put vsmfryo sffl iea fpfry putj r -epTt.ued trtn.puspBoa os huge faj btnY neayuwzl xF.ensbeapxzFF 5 dShtsnor k6 tiswpusps fi5 cShtsn'put ffaj btn eg 7ffopnai peffo tfti aptl vtn htsn bh s j si ufft puspi snnto eaps j weff ffopnai peffo vtn oti efil.ffsj twh xzB3zvFFFFrL utntgent plo i vtsn pusp put tfsi p msat egBca d so l tptnS j 7fftl bh cej t pti uffl'at puspl not fimewrt ytfftnspfry swegput snns frytj tfipor qffl ttl.putnt s j aiu.j aiu gscptn dsh pe iej vapt B.aolfry vewhffej sw sytbnsr ut Tffcpnai pnt j tpuel I toi nbtl fftftni t Bffttl oN kf-Lev tnspeflo. d uTu j sh ottj ftffii tfpbap btspo put ytfftnsptSsffl Sieaflp j tpuel bh s d uevv fry ssi pen egenl tn ZkkF-(oL sfil tmtfrd utf-OxBp naffo sbeap vF pj to gscptnr.ff put eputn usfil.put tfsip msat egB(d wnebsbwr fftmtn bt,ffed ff.tmtff soiej vaptno btiej t gsoptn sfil gscptnr 且t isff svoe1 effo tn“s frygenl vs万fryo pusp snt optimum Tff msneao d shor cen tfsj vvt.ovecobvt pe snns flyt of pttff vs Toegd t yupooxGKGGEGBB puspcsp ogh"sflycenl (oi efil peffs fil usmt put sl I peffs wnevtngh egbtfry fid tws
7 ) 8 ) 9 9 9 8 % % ' 9 ' * 8 ( : : 8 ; 1 " * * 0 ' >?@>;*@' 9;?*?>?@' 7>>*99>*99*??' ' 9@' @?**' ;7?@@' ; ; 7?;@@' *;?*99?@9;99> ; $ & A8 + B 0 C . D @@* @@9' $@@9& 9E>@F . % %% $* & 6 $ 9&' D 8 " 1 G 7 ! # ; @@ " : 8 H I 9@ 9@@ +1J% $9@@@@@@& 8 ( % ) 1 8 ; $*& Æ ' % % K$$ & & ; @ 5 " ( ; ; " ( !%
T opu ta hepgahd stth goi a n ha.andue MIa V ufunfu VI aVVIu4,i n(VWg a ha.andu hua:,I u Vu4 avu g.adue ▣I u aggvigwalu i we uwC nΠni bb k Ty m,v mb,T Tr k Tmkc v TTIb Ty T y Tr f T c my TTc c f V kJ 十 q中iIw,i vefMzVAxB+xTE吧+AAA叶FVAO FV Ax+AAA+x7TEN+zV AlEane VId gawWdm awuba:g.u,ua.fi l ar u ani Vuwt me is ha.andulB+B+AAAH ff O xx+xB+AAA+TM undu a.fi xBAxB+xz AB++AAA+x Af O x Axx+AA+xz A7+xBAR 5 i vui ruvlM u awwanpu:uVa knJl af g il ig T f iFih a:i np a.."anpsi ve gacwmpf is i weuwxEC;I u di nnudVnp .cuf aVlu hi Vi:is Vu ecapwa:fli, V aVni i vu VI an furu gacvf awu adi:g.ulu aVan4 gi mVMaf,u vuae svi:.uV \i wpl \Eane inu dan fli,Vava,cel is fb d c gi ffch.uy kSuu ubuwdfu TJ fl 1 aVavwanpu uf d do WVdno is-f xf VVfxxBG avu Vu inli ha.andue M nO a VIu funfu Vav og d do df abc ooue W;1u:abc m:gi ffch.u ra.m Virvnf inV\i hu zvEffy 8 nu fndl gacwnp-Vl uvu avu xvIFxBis Vu:-d v'7 v x'x 7 xBx'xz z x7 Tj Bxxz xv xF ff TBx'j xBxz x7 xx ff xF xvV kwJ i vu m\invuf Vnp 1mfVi n d \i aft si wVu "anpsi we gacwnpf VaV avu f:a..ufVane .avpufVa .ubcdi pwagl di weuvy I u anf,uvf si wCO v7 awu -=b-cbdecfgdoersfpgqtuwxv jklonhmirpsjqkhltiunmwvxM A xvwsquntkigrd-p-odgiknqsvxwutmrpohljcfbecbhmfejlG cs,u nfu VI u .ul\irvf -NbMVWM af Viae is VI u nm:huw xM MV'M7y fl ufl a..eddnff:an4 \iddll nalmuf si wdi:hoaVi wca.ig:o0aWi n m.aViwf udS Vi nf is V o dl ag \ivy 8 mwpi a.Ms di mvfuM a.hu \i fi.rufndl gvi h.u:f,cinV uba:mop i vu VI an a Vn4 gi vVi n is V ufgadu is a..gi ffc.u avwanpu:u\fy Orthogonal latin squares."uvf .iit hadt si wa i:uVaVVl u uaw4 ea4f is di:hmali wdfy gif\I m i nf vecvi n is adlmuf 8 Oana:f Rgsl goutbrn moah- gmortqagn gr phyntgagn kPawf Cx'TvzJ ad.neve an a:nfap gnoou a ri.m u 7M gapu 7'7Cfi;atu a..VIu aduf M cpf Mmmf Mane Iadtf svi:an i we mav4 eudt is g.a4cp dawef ane avwanpu VIu:m a flmavu fi VaVuadl vi,ane uadl di.m n di nVamf a..si nwr a.muf ane a..si nwfndfy an 4i mei c\W8 0ana:f fi.nvi nM fli,n m c cpyx in V u nubVgapulei uf uru i vuCcVubl cholf V'usm.gani g.4 is r a.mf ane is fmc'lf a.fi in hi V:am ecapi na.fy kP.uafu ein(V\rvn Vugapu m 4i mruparu Vd gvih.u:a Ww4yJ B4 xTlj a fc oawgnoou,af atap Vu vi mef is S\y PuluvfhmypNane cV da:u \i Vu allimWi n is V'u pwuaV:all'u:aVccan "ui nl ave muvy fi;I cvMsfcb i ffiduwf is fdb ec3uvun Vwant fMat un swi:fcb ec3uvunVvupa uVfM anV\i awd c a BR Bsi w avi n fi V aVuadl vi,ane uad di.m n,o.di nVac i nui ffiduwi s uadl want ane i nu is uadl vupc uly 2i,dan VIu4 ei cW Ni hi e4,af ah.u li
7 # ( - $ & 1 99 ;L *9 ;LL @9 ? @9 LL *9 *L 99 7' ;L ;LL ? L ; L L 7 ; ; L 9 ; L L ? L L 9 * L ; 7 + $ & " ;- 8 ' $G 7& ; ; 6/ 8 9;? 5 I @; I * * ; 9 9 * 7 > ; 9 @ ? 7 ; > ; 9 * ? @ $& . ) " 8 * $& * ) 6 % 5 "( . C) 56 ( $J- 79& 66 * * *- !8 ) ) # 0 / 56 ( - 1 $J ( ( & D 77> 66 G J " , !8% Æ 3 3 ; ; Æ 2 /# H
f Vl ure4i Vs r4 Aan4sf dre w T -ERAR TIEnILal It ri a Agir hILEC Tr heiaal atr it hth fit a TPFgIO cb irt 2egthrrrt E'Tta TP hth phhErT FIfna h p'Tpgthi ateiraatri- Aatrgih pI'tsfal e Affl s cspcgsi penh j sniuTfry enl tnr ?e avtn I ti Ttl pe ntcevrrt put nI vt Y trtff pueayu ut usl btiej t fftsnwh bvifll TfxT sfll d so I Tpspifry sweg u d en, pe sooops fipor 2 t d nept s j sken vsvtn eff put oabkti p trrtffpaswh vabvoutl ff h,t n41hn4.b4 Vif.h.hwb4 Iss,t hf NhhW Int x h4ssfInt nc Ih,f hfh4Int nccb4 fh pII4.h4 KkxIffvLfv'j H fd uTu ut i effcpnai pt!ca Esbvt snns ffytj tfrpo cen put sfisveyeao pso d pu n nsff,o sffl n nty'f tfrpo d ut ffn Ox.'f.z.I.ff. j.xx.xv.x'.xz.xB.oooEeffw put i sotod pu nj el f O v tval ti u'f r utnt(oebmeaow fre cevapeffd utffn O vr j ap)avtn d socpaj vtl d utffn O B.sgptn usmfry tfsj Tfiti s fimtnh ieffor tnsbvt ffaj btr'egolasnt snns frytj tffpo puspl Tff(pd en,r 2 t oued ti pusp sfih si paswoe apeffd ea wi vtsl pe j sfih eputno pusp vee,I 3tntffp.sffl ut i ea wi fr(p btvitmt pusp swvoai u celapeffo usl tci svtl u spptfrpefir utntgent ut csT.fiql e frep uto Espt pe i effi val t pusp efft isffffep vnel ait s iej vutpt olasnt eg'Bitwo.sfll pusp put csj tj vecobwph tfptfil o pe put i soto n O xF.n O xf ooo ffytfftns wpe swvel I wh trrtff ffaj b tnar" a vtn frsj ti put'B effii tno 5T.5S.5P.56.5D 5C.bT.bS.bP.b6.bD C. cT.cS.cP.c6.cDcc.dT.dS.dP.d6.dD d.CT.S.P.(C.rT.rS.r P. r6.rDr.bsot!eff putn nty'f tfipo sfll ns ff,or 2 t ebotnmtl pusp sfi cevapeff d ea vr sj ea ffp pe usmfry pde lvrntniv dl asnto.efft gen "sp ff vtpptno sfil sfreputn gen 9 ntt,r si u egpueot clasnto oa vveot!pe usmt I Tpfi p tffpnto Tff ned osfil ieaj ficEce ut btysfr bh cpal h ifry put vecobvt iefAyanspeffo cen 5nbmnnGr. duTu ut iswtl Lniil hcTntvhr -"spiff cl asnt isff bt vs Titl av d pu s 9 ntt, cl asnt pe gerj s fi9 n/ieS'spffcl asnt"effv gput clasnto snt ntihnenl nApe tsiu eputn.j tsffifiy pusp fle k"spff.9 ntt,Lvsn eg vtpptno i sfr bt geafil peytputn ff j ent pusffefft vvsit d utff put clasnto snt oav tn'j veotir cen tfsj vvt.gdt vtp 5OA.bOK.cOQ.dOJ.TOk.SO◆.PO◇.sfm6O.cyrx ot1 a Tis vtf而
* 7 : G , I 77 2 A $7?& ?9E >F * 9 7 ? > 9 ; ' * 8( D , ; ! # ) ( 2 3 ( 8 !1 ) ; @ * # , ; Æ Æ Æ Æ Æ Æ Æ 2 ) " 4 , ) ' : . " ) 4 ) !4M %" )# ) $" 4& ) Æ )
T opu ta hepgahd stth goi a n e \iI u"aVnND wuuFMane 9 wedi Savn,f1mavuf fe·c nu fr伍。tu f er "ffi Co nt u Ync“emavo t r fim eG ane y no ct" effim e GI eE KA e n C to伍r “teon伍G cne“ 伍rto c伍ret“o Os di nwfu Adan nfuo'Te-e fVndVf4:F.f an--avnflmavuEa..V av aVlonvf VaVni f4:R.i ddnwf VAdu an4 vir Ai wVAGu an4 di.m ny Ni A:Vaf A..nfu nm:uwd,B.muf TFGCEEG ExHsi wV uun Wlufy cmvVl uw i vu Au..InfVyusuw li fi.avn,flmavuf"kAl a .i Ardafu fi."Mof \ae is daluRwonR a fimavu af ufli uw"ali w9 wuFMRdanfui vi Rna Ca f4::uvdvualny muwf affuvVEn VavA BT B.avn flmavuf danni VRi vli Rna.Af EAue 1i:af C.anfunMAli vuendue Vugvi Pu:\i an uba:navin isxT smea:uVa..4 e BuvunVdafuf Madkdi ve hRli a.ulVinwsvi:2 y Cy Nd m ad uw li Cyc y9 anff eale xF-mAif Vxff7vy BnV C.anfum e ni VgmPfi 1 f.ana.4f fy lu AvfVeu:inf liavin li agguawn gwnV Aaf A 9y;av4 Iolg kceK et bnkp NIFI hincil t rAt hike kl nAcin Tt heg eto beKThiet heKil MavVy kxj FxATF vF HM Ali e fdi Ervue n 1 f.i An Aa4 V aVBT B.avn,f1mavuf dan Hd.aff (Aue n\i xT e BuvmVsa:Cufy kn NidVin Tivy Aufl a..fVre4 li Ali eui:gi fu a gwi Pu: nli di:Fnali w6..4 uln.uVdaffuf is awwan R:uVfy4 muwf di nludVinwu aRnV II u v:annRdafuf-O xFM-O x7MEEE Af figvir Ee"II wuu VC uf M4 yDuVinvfum INt t nniA bekg ncPgg ncihiet KkDawf.Ckj Fv M 7x'7v'TIMF Dy c umn aF L nPAeP)ezihPo beA;enclhPet ncPdmeAeit innt wfl kxj xFAE vEIIMane F 2 ycy5 ad-ufi INtt ncIr'naRgkv Ai P kxj vv Avvx vy'lly c.aAf a..I wuu avRr:mnlf Rda:u Fi AMi AlinEane Vu 1mufvin Aaf fC mfulVue Au di:gnVimf Rda:u aEGPu:an4 4uawf .alinvy Onu is II u E4 AvfVdi:Fnali w.gwi Pu:f li Ri VadFve F4:adl u Af II uvusi wu Vu un a is xF T xF 9 wedi S'aVn,flmawuf CDi VIu4 ubfVi wni \W xjIMy!yDaR ane CyBy;i:gFof gwi Ra:ve VI uSWAC di:gnliw\i fuawd si wa di m linvuba:g.u li )muwf gvue Vfny;1u4 fu.dlue i nu gavldmaw xFT xF.avn,flmavufia.:ifVaVwanei:Mane V ufwgwi Ra:Wte Vi Ane ani V uw f1mavu I aV Ame Rii vlli Rna.Vi y BnV V u vufm lf Aivu e fdi mwaFnFVane VIu4 eudeue \i flnV Vu ad (nu i3 asliw Al li mvfy-.vuae4 Uu gvi Ra: 1 ae Rnuwalie ui mf eala si wV u:Vi gvue dVV aVaV.uafV7r xF Ii mvf is di:gnlinw \Cu Ame Rinueue Vi Anfi Vu vmn' Ni vV4 asVimAavefMV vu aV u:av nf aeu a RuaFI virm VaVgnV .av.flmavuf inli gaRinu is:ali wAwe nuAfgag uvfC6y Cy Bi fuMNy Ny N wS FaneuMne )y;yDawlwsi me a wu:awFaPu fuwuf is di nf Wndvinf V av4e ivlli Rna.-T f1nawuf si wa..-(BI4 hqMncqNhnbqChiqy L kxjzj AI 7 T IM jEDnt nbint -q'ncPqf i kxj EAj1 v 1nf Mas\inw vuf RalladFf si wxfF 4uavf M muwf di nludVinwu Virvnue imV\i Ri a.:if Vu Vu.4 AinR luwe fdi En4 Af:aeu Aii nVdi:gu\inwlu.gy BrVDaww A wve si w UNIVACMne 1ufi in Ri mfvgvi Ra:GR FCf h\i Vug dvirvu Ffi.EnRIu gvi Pu:is DaR ane ;i:g Fof .uff VI an an li mMn a UNIVAC xvFB5 Caw4 Ci gm\irvy INmu 4 Al hqC kqNkkdeb'ncPqf C kxj FF MEa ff Ef L kxj B AT'1 ffxyH
7 9 " 4 4M %" ) Æ Æ Æ Æ Æ Æ Æ Æ $& 5 " )' G @ ( ! )# $ !#& 6 ) " 4 ,( ; ; ) : 8 0 7 3 2 0 G 0 4 @ . ?* D 0 8 : 4 8 A ! " # $>@& 7@E@ F ; ; ) : 7 3 $1 G 7 ) & ,( @ * ! # C J A! $ $J- >@& * E*7F J A%& ' () $>@& ;*E;7F 2 +H A! () $& $>& E 7F ' ) 5 : @ @ 4M %" )- = / 1 >97 " C J 0 D 8 !" ,( 8 @@ ) ! # : ) D 3 : . *? @ : N G ) - 9>& 7 *E7 7 ?9>E?;' %) () $>;@& ?>E@ F 8 ?@ ,( 8 D J #$%!" J 8 #$%!" @; + 0 AG * ) ) ! () $>;@& 7E? ' $>; & 7 E?F
B f Vl ure 4i Vs 14 Aan4sf dre w T tplo ps,t s i veotn vee,sp d usp put tsnvtn vneynsj j tno I T.sfil ued Dsn,tn I nsj spiswh pnaj vtl putn svvnesiur Dsyt sfil ej v,ffo btysff d pu put gewed Tfry xFl xF dl asnt B sfil o aff,ffed ff enpueyeffswi sptkoL2 C n F x v'f z B T f j e n p uuuuuuuu ue o x ff'v z f T B j Fr o X UUUUUUUU UT aYTEPRBREVi uoL9 8HH888885 0 s fll 门nnnnnn j 6Zuㄩuuuuuuu E kOL 8 Bz f Tx vj Ff 8 Buuu u uu uu u Tfx开F v j z E旺 Tu u uu u u uu uf f’B F j x z v f T ffu uuuuuuuu j v ff x B T f F'z j uuuuuu uuu f t isff scoaj t d pueap veco eg ytfftnsvTh pusp put ned o eg2 btyTf d pu F.x. j.sooued fir ut vnebvtj pe Awiff put ntj sfhifry jF bisff,tfipnlto.sffl put enyfrswsDy H vneynsj vnei tti ti gnej pev pe beppej.vtcp pe n yupr;ut pev vtcp isff(p bt Awt!d pu F.olffi tF usoswitsi h eiiannti ff put pev ned eg2 r-fil isff(p bt x t putn.b ti saot put vsnkxLswitsl h ei i anosp put vtgp egput fftfp ned ff kBG2 Lr f t isff.ued tmtn.ptffpspirtw ffotnp s vr ut I ypx isff bt visi tl fftfpEsfil vntpch ceeff d t Affl put vtfTeynsvuTswh cj swtcp pev ned puspj yup den,gen 2.frsj tw Fvxf'Bafj T snw7.put cj swtcp ned o pusp Ap btved Fvxf'Bflj Tsnt xFv'f z BIffj sffl vxFffz'lj f Bsfll put cj swtop vty Dj spt ned btved putj 6'zf FPxj vIffr-ed.a ffcenpa ffsptwh.put ye nfry ytpo peayutnC;utnt(o ffe dsh pe iej vvtpt sffeputn ned d pueap iej nfry frpe iefifl'Tp d pu s vntmeao i ueTtr ?e d t i usfryt zf FPxj vlff pe'zf FEvj xIff kbappuspl etoff(pd en,tputnL putff pe zf FEj ffx Tv.s fll ce eff gen otmtns w ent cptvo.a fipMAfis wh zf PxEj vIff isff bt gewed ti bh f'j vx btcent dt ytp cpai,sys fir gff?ti peff'Tvr'.dt(wcpal h d sho pe topj spt put btusmen egcaiu otsni uto. d pueap si paswh vtngerj fry putj r aiu topj spto ptwao Tff pu i sot pusp put Dsyt[;ej v,ffo j tpuel tootfip'swh pnsmtnoto sfff vvrp otsni u pntt pusp ieffps fo sbeapvx ffel tor 5 ecpegpueot frel tobtvefry pe eftwh s gtd vtntvo eg put pnttEj ent pusfr usvg eg putj I tswd pu iueTto eff put nyup usg eg put olfpu ned eg2.sgptn sbeapzF eg put jF bvs ff,o usnt bttff ptfipspntwh Awt!Tffr phvTswflel t eg put otsni u pntt vnebsbwr ntla nto sbeap j tj okj tj enh sii tcotoL gen vnei toolfry.pe iuti,msvir phr;utntgent put peps wna fffffry p t effs j el tnffiej vaptn deaw bt neayuwh put pj t fftti ti pe vtngerj vlxajtj cr Dsn,tn.eff put eputn usfll d tfipbsi,pe putj tpuel pusp)a vtn usl eny ffswh aotI pe otsni u gen enpueyeffswj spto ff x'jr c Ticp ut gea fll sweg put ces swtl transursals egB.fisj twh swd sho pe i ueeot oej t eg po tvtj tfipo oe pusp putnt(o tfsi pwh efft tvtj tfrp nff tsiu ned.efft 7fftsi u ielaj ff.sfil efft egtsi u nsvatr cen tfsj vvt.efit pns ffomtnoswFffzj T f vxB.ff a vtn(o ffepspeff.j tsfffry pusp d t i ueeot putF ffielaj ffF.put ff Tffievaj ffx.put Bffi evaj frjr si u pns ffomrt ns cs wpusp fti val to put R 7ffB (o vtgj ecpi evaj frntvntotflpos vtyj spt d sh pe visit put ptff R(o Tfipe cl asnt 2 r ut pso,eg Afll Tfiy pns ffomtncs o ff ssi p.nsputn tsch.sfil put yTtffj spnf B panffo eap pe usmt tfsi pwh flff eg putj Eputnt snt ntov ti pntwr kli G BGIBfIGIFf f GEGz GB L pns ffomtncs wo en RO kFGEEG Lr
; 7 "( J J 8 @ @ ) $& - @ * 9 ; 7 ? > ? 9 * 7 ; > @ > 9 ; @ ? * 7 7 @ > ? ; 9 * * ; 7 9 > @ ? 9 @ > * 7 ? ; ; 9 * 7 > @ ? 7 * ? @ > 9 ; ? ; @ > 9 * 7 > ? ; 7 * @ 9 @ * 9 ; 7 ? > $& @ > 8 : >@ !" 8 ( : @ @ . ( $ & $ & 8 ' : @* ;9?>7 G : @* ;9?>7 @ *9;7?> @?9 7>*;' 9*@;>7? H - 8( O G 9*@;>7? 9*@;>7? $ ( & 9*@;>?7 : 9*;@>7? * >7@?;9 1 G 7 ( G JE8 9 @ + ' 9@ >@ : . ) 79 $ & 8 @ J , 77> % ( @?9>7 *; ,( @ @ ? ; > , % ( ( ) 8 : ?@? ' $7> >; 7; ?7 7@ ?* ? 79 >9 ; & $@ >&
T GER ALDB.EFLBO N,BFG"LDd T fhi t put pnsffomtncs o snt,ffed ff.d t(nt vtgpd pu sff tfsi p ientn vnebvtj eg xF cpsyto.d u Tu j aiu oJ vvtn pusff put enyifisw FScpsyt vnebvtj frkvLr-wd t ffttl pe l e 6i emtn put clasnt d pu ptffpns ffomrtncs vo puspl eff(p fpt noti pY bti saot trtnh cai u otp egptffδtla万svtfip pe s spff cl asnt M pusp enpueyefr仍wpe4r ut vsnpTasn clasnt 4 frkvLuso.ff gsi p.tfsi ph efft enpueyefiswj sptC HFxy'fz BTfj Ex任'vz f T Bj FL yjzB’Fff f Tx 是'TF j ff Bx z v f士 昌6 f B T z v j F ff x E z F j f T ff’xBv 8 品:v kxL Bz f Tx’vjF此 后I f x ff F v j z B路 2 : ff'BF j x z v f T fFv’Bj x Tz f j v ff x B T f F'z jf’Bx f vz T F ut I sfli Tfry vff,osyen puj Affl o D.sfll vnemto po a fflat fftoo.sgptn I enfry efiwh sbeapxVIl xFcj tj oegiej vapspeff.y Trtff putff pns ffomtnos vor canputrj ent. put i ecp eg put pns fforrtncs Affl Tfly vusot.sbeapz j wefrj tj o.6 fftyvy bvt bh iej vsncef;uao put enyffswaffffify pj t egvl x j tj oY duTu eftit dso ntysnl ti so put Tfitmpsbvt i ecp egcewmfry s vnebvtj gen d uTu putnt snt xF.d sho pe Awff put bisff,oY uso bttff ntl ai tl bh s sanputn gsi pen egj ent pusfrxr ft d Tott vsptn pusp sl msffi to usmt sice bttffj sl t 7ffj tpuel o gen cevmfry jFStmtwvnebvtj o vTt kvlr qfll ttl.kvL panffo eap pe bt ntvntotffpsbvt I nti pw so sff tfsipiemtn vnebvtj kott tftni ot xTL d uTu put I sffi Tfry viff,o vnei tl ant eg?tipefr'Tvrvnx oevrto ssptn tfvtril iy effv xV1 xj tj cr)ntff ce.put a vtn Dsn,tn svvnesiu ntj sTfo sbeaps pueacsfil pf tobtpptn pusff put Ds yt ej v,ffo svvnesiur j h figsi pen fry"put vnebvtj Tfipe pd e otvsnspt vusoto.efft cen pns fforrtncs Afll Tfry sfll efft gen pns fforrtncs ej bfffry.avtn sfil Dsn,tn toS ot ffpswh ntl ai ti put iej vapspeffs wi ecp gnej s vnel ai p.fnin pe s oaj.flnkfl ut j ensweg pu cpenh 6i vtsnC?ej b fispen swnebvtj oj yupieffgneffp ao d pu s uayt afftnot egveco bvpto.htpd t ouea w fi(pynit av pee tsoThr-olfryvt yeel Tts isffntl ait put sj eaffpegiej vapspeff bh j sfmh enl tno egj syfnpal tr k s EFlTg mTngs g li TnTI wnnl.e 5 sfih egput iej biispenswnebvtj od t ousw cpal h Tfr pu6 iusvptn.vTt "sffygenl (o vnebvtj eg vs To en.Osffsj (o vnebvtj eg put of pttff ueffen i snl o.enyfispt!so sj aofry va0Ovto en fibns Tff pd Tptna" ej t ntsl tno j yup bt vap e3 bh pu tj vusoo eff nti ntspeffswpev To.d uTu puth ntysnl so s gnTeveao d scpt eg pf tr uea w/ff(p iej vaptno ntswh bt I enfry aotsa wd en,W-fil ouea w ff(p ptfpbee,osbeapiej vaptno bt vnJ snTh ieffi tnfiti d pu oyff Ai sfrp svvvTspeffo pe 7fll a cpnh sfil Uen d enwr vneyntocW f twput sapuen egput ptf pbee,hea snt ntsl 7fry usosbcevaptwh fre ebkti peffo pe aotcawd en,sfil uaj sffvneyntoor j ap ut btvtmto cpnefrywh pusps bee,cai u so pu oueaw cpntoog vihnFh egvnebvtj cewrfry.peytputn d pu j sputj sprswr tso sfil g nPh pusp utw pe cewrt j sfh I 3 tntfip vnebvtj o.nsputn pusff gei aofry eff put ntsceffod uh pueot j tpuel osffl j el twoj yupbt aotgawf t ouswwtsnffj sfih btsa pica wsffl ved tnca wd sho pe sccsi,iej bfrspenswnebvtj o.sffl put tvtysffi t
7 7 5 ( @ >@% $& . ) ( I ) ) 8 ) $& - @ * 9 ; 7 ? > ? 9 * 7 ; > @ > 9 ; @ ? * 7 7 @ > ? ; 9 * * ; 7 9 > @ ? 9 @ > * 7 ? ; ; 9 * 7 > @ ? 7 * ? @ > 9 ; ? ; @ > 9 * 7 > ? ; 7 * @ 9 @ ? 9 > * 7 ; 7 * > ; 9 @ ? 9 ; * ? 7 @ > ; > @ * 9 ? 7 * ? 7 9 ; > @ 9 7 ? @ > * ; ; > @ 7 ? * 9 7 9 @ * ; ? > ? @ ; > 7 9 * > * ; ? 9 7 @ $& 8 : ) 7 @ ?@? %: 9 8 @ I @ : I @$N& >@% $& 1 $& $ 7& G 7 @ , ,EJ JE 8 D ! # %: % , J % L 8 - 0 ( . + " ( 56 ( 66 ! # G 3 G ( / . ( : P / D 3
F f Vl ure 4i Vs 14 Aan4sf dre w T eg pueot j tpuel od Tbt eanj sTffj epmspeff gen cpal h fry putj r ej bfispensw i uswtfryto vev av tmtnhd utnt.sfil fitd d sho pe svvw put pti uffla to l i acotl ff pu 6iusvptn snot tmtnh I shr ?e vtp(o ffep vj ean uen Teffo bh spptj vpifry pe ispsvey ffsl msffi t d usp put T tso snt yeel genr cen tfsj vvt.panffo eap pusp enpueyeffswvspff cl asnto snt tfferj eaowh aotga w vsnpTasnwh Tff put I toyff eg tfvtn'j tffpar witsl h Tff xfff.cns fhe ntppt I t Dswatwaotl s f Rf sp ff olasnt pe cpal h d usp usvvtffo d utff ofpttff outtv Y gean tsi u gnej cean I 3tntfip bnttl oY d tnt gtl gean I 3tntfip I tpo sfl usnmtcpt!spcean!3tntfip pf tor Meg ilel Tly uAhEhEe kDsnoC?ei fpt 6 ehsvt 1(ynTa pant.pn'j topnt I (fpt.xIfffL xT v'H;ut vspiff clasnt swed ti u'j pe l e puod pu xBouttv ffoptsl egf Ed pu s 9 n/ieS'spiff cl asnt ut ieawr swe usmt nsntl sfreputn vsnsj tptn bh pnhfry.osh.cean I 3tntfiplasfipptoeggeel en cean I 3 tntfip ynsOfry vsnsl yj ar j ap gdt usl gei aoti ean I tacoeff eff uo svvnesiu pe sfff swuacbsfll nh. dt j yup d twusmt yepptff beyytl I ed ff frI tps To sbeap bnttl fry.sbeap neep mtytpsbvto mtncao yns ffo sfil put i ecpo egyned Tfry putj.tpir 6 tsl tnod ue sntfi(p gsrj tnoj yup putntgent usmt I ti tl pe o.w put d uevt pevT.tmtff pueayu vspff cl asnt I toyffo svvwh pe s d Tt nsfryt egopal tor k uTff,sbeap ptopifry Amt,fil o eg v To.eff vsptflpo 7ff Amrt opsyto eg cej t I otsot.Amt syt bnsi,tpo.sfll Amt dt yup ynea vorL 5 entemtn.s ieffi tfipnspeff eff tfvtn'j tfrpswl toyff ieaw vtsl ntsl tno pe j o put gsi p pusp splff clasnto svoe usmt j venps fip svvvrspeffo pe I i ntpt ytej tpnh sfil tnneng ennti pfry iel tokott tf tni oto xff vf Lr mtff put pevTeg"sfrygenl vs nfry.d uTu ottj o sp Ancp pe bt vantwh nti nts spefisw panffo eap pe usmt vnsi pTswf venps ffi tr r ?evtj aotl "sfrygenl otS la tfli to pe i effopnai p pt fftn pnwvt ohcptj o.d uTu d t usmt svvvitl pe I spsbsot 1a tn to fF ti peff Bz ott MLIP.ThLt TIt LThL v kxj zffL vT vfFlEsfll 7ff put xj FFo.)r"r9 nepu eg5 epenes envenspefrsvvvtl "sfrygenl vs To pe put I toyff egi ni a po gen j a vpvvispeffr canputrj ent.put syen puj o pusp tffii tfiph Affl 4s frygenl vsmosffl vspffcl asnt pns ffarrtnos vo.cai u so putj tpuel egl sfti Tfry vff,o. svvwh pe tfsipiemtn vnebvtj o fr ytfftns Esfil put vnebvtj egtfsi piemtnfry uso yntsp ntvtmsffi t pe i nai swwnebvtj o cai u so put tla sbvt svvenpefij tfip eg meptn vnti Tffi po pe tvti pens w Tpn'Tpo.tpi r ut svvvispeffo snt ffep put j ecp venps ffp pufry.sffl fft putn snt put va Ovtor.an vn'f snh yeswo nsputn pe ytp bsor iefli tvpo Tfipe ean bns ffo.VTt put frepeffoegusp ff dl asntosffl tfsi pi emtn fryr ai u flepeffoynt ao put ba T fry bvei,o.nei sba snh.sfil fo yupo pusp ing nttnf 'h vnebvtj o d wffttl r pw plo geevou pe I oi aoo vnebvtj cewmrfry d pueap si paswh cewrfry sff vnebvtj cr f t fftti yeel vnebvtj o pe cpj avspt ean intspTt ka Tto.pe vyup av eanynth i two Tffs j ent en vtco enysffti gsou eff.sffl pe j s,t put bsor ieffi tvpo gsj Tsnr 5 7fil Sbtfil fry va0Ovtosnt egpt ff tswen pu ovanveot.bti saot puth isff bt vntotfiptl ffs gtd d enl o.ffttl fry fre iej vvrsptl bsi,ynea fll,ffed vti ytr Vsi vsm2 smtwefli t ntj sn,tI pusp put iej vvtf pito eg vot snt mscpCfi;utnt pee j ai u pe,ffed nnmfl t usmt pe sbsfil eff put snneys ffp btvitg pusp put d enw j tntwh s va0Ovt pe bt cevrtl.s j siufft d pu Tffapnai peffo gen aot ds piffy pe bt I tiemtntl.s bel h eg Tfrgerj speff pe bt gtl ffpe s iej vaptn"2 t iswtl
? 7 0 ) G ( 6 ) . 7?? Q 0R J ** ) I 3 I 3 3 A($ #! $J- G RR 9?& 7 E?@F' >;@ , C 4 + 0 " Æ : " ) ' ) 8 66 5 ) G G ( 6 + % 66 SR 2 - !8 66 # 2