Key To Et Messages

UNCLASSIFIED KeyTo TheExtraterrestrialMessages nvH.{~Al\II'AIl;N~: (IlIdll~,.ili,'Ii Dr.('lIl11lJlli/:11('pn'~""/l'flaserieuf291III' al!",.{millIII1/.'r,.pan'in "l-:.rtmt"rf1'strialInt"/Iipl'nn>."NSATeehnico!Journnl,Vol.X1.Nil.~, IIIJ./11/If.aridinIh"Sp,~'ialMa/hl'matil','and1':/1.~i",~'rill.1[1~,.'IIofII", .JfIIlrIllIl,I'll.IIiIf.'1'111'rlll/owi'JI!artid~d"'I'I~luJl~IIk,'ytilth"IlI'n..' a!l"Il, Parauraph'numlwr.paralleltheserialnumbersofthe1II1'SlII!I'Sreprinted ill/hl'alllll'lIdi.rbt'I,,,,'.Thisilldlld~s1/111""II's,'r;,',.--:IIIlII,d:11'--1111/ illl'llldl'fl;11/hl'pn't'illu~artie/,'. AIeverystepinIhesolutionwemakeaI!UP!l~atJhemeaning. !,:\'ilh'nl'I'willquicklyaccumulateto verify orrefutethis1!1I"~S.The 1I""sihililvofIImhil!:lIit~Ill'IWIIl'lInl'il\l"nlI'oilltillnl'i"\'('ryrpmnll'. Only inIh"lastsreps.whereveriticarionisthin.couldthishappen. l.TherenrezlI'ymblll.., inthenrderI!:i\'enbv thismessaae. :!.Iiisequivalentttl AA,CttlAAA,etc.Thatis , A=1: B=:!:('=:1: :1.Thes~'mhtllL mean sthetwuthinll~that("nllo\\';HI'1111's.une. LXY1I11':ml'x=~'. .1.Em'hSlall'nll'nlhlIS:;s~'lI1hllls.millht'llinl'withL.The1symh,.ls utterL mustheclInsideredalltwothinl!:l',Io:m'hstatementhasa "a" thirdIt'lll-r,which must111'Ihesl:nl,,(",h.,sl'.'"ndthinl(.Is H=I<AA:C=KHA:C=KAB:D=KCA'!IfKBAmean"B+A.ittit". fi.Th"I'I'\'"rifyourl'nndll,.inllSon-I.Thetil'l'l1111':1111'Ii = 1~-t:!+:\1. tlu-las1IIll'allsIIC!I:11=III:!)'.:1. H.Elll'hhal'liwsymhols'\1'in-I.They111"'\1\I=I\I:!I::!=I\I:II: 1=l\t:l:.!.Obviouslv:\'1XYmeansx -y, i.ThesetranslateN=I-I:N=2-:!:N=:l-:l,Nstandsli,r 8.Thesetranslate1=011:II=Ot)l::!sOl:!:2=0:!1:U=OIl:!: U=0211;<I=022,ere.OXYmeanstheproductXXY. These ,"ril)..theconclusionsIII'8,Thetirst savsthat6=1X:?x:l, thehll't4X(5xGI=(IXiilx6. Nm;SofarwehaveseentwokindsIIfsymbols:digitsAthroughli andN.andoperatorsL, K, M.and0,Thetwodigitsfollowingthe operatoraretheoperands. Ill.Trunslatesintn,,=H2:!::!~H21:I-~H211:;1-ItII:I-Itlll. HXYmustmeanX:.exponentiation.R isanotherbinaryoperator, UNCLASSIFIED II.Translatesinto~,'"I"'4;:t'=I I 7;:!'~:!X1;:!'-'.1.\'l'ril\inl: ourpreviouscunelusions, I~.'I'ranslatesinto:I'~41-1);a'=:IX:I.FurthervNililali"n. Note:InourcultureweuseparenthesesIIIIlwul'dllsl'I~'as,;III'ialed terms,nndasIIfirslslepilhelps,l'ventlllluj(hilisnotlll'II'ssarv.'"pUI pureuthese,'I'll dllSlluunmhiguously,sturtutIIII'riuht;ulIlfl'all left IIIthefirstoperntursymbol;putparentlu-sesahllnlIIII'"lll'ralllr andtheIWIIquuutitiestililsright.HepeatunrllnilpairIII'pan'nlhl'';I's containsmorethananoperatorand twoquanrifies. la.Translatesintll.,=2";.J=I17;JII""ax:l;.1 I I:1',tlu-re- H.WecanonlyintroduceparentheseshyassumingI'isan IIp!'falur.SllWI'Ill't~I'HI;4-PH:.!;I -1':1:1;and:1I'li:!.Thus I'XV=X,.Y.division, II).Assuruel/isanoperator,j(ellinj('JI~;112:1;1 U7B;U2"a'=l/89.ThesmalleristirstineachCIISP;SllperhapsIIXY meansXprecedesYorX<Y. 16.Thenewcharacter(~mustheanoperator,Tr:msnilll'ditlliv1's ClearlyQmeans"thefollowingstatementisraise."Thenthenext III thelastisread"itisfalsethat:I,c:l."'ll.will betranslated;>!..'1'111' secondnewsymbolisnotclear,exceptthatitisanIIperalllrwhose IIpcrandsart!statements,nutquuntities,aBIIllleanoperntur. NII/":(lisallIIpcratllrwithIIl1lyIII1CIII11'rallll,unary. 17.I'ullinllinparenthesesshowsIhlltSisalslI aunarvIIp!'falllr IIlleralinll III'stutements.Transcribedtheyart':S:I--I:S:I:!: S:2,dII;S:I=IXI;S:0=1-1;S:UI(ti-"IxuiII-li,lill: S:III(III12--211. IIisII111J:1rl.'IItIhnlS1II1'IIIIS"till'fllllllWill1:slall'- "","1isIrue"IIr"ilis:,sSt'rled1hal."ThenextIII Ilu-laslIIII';sal:l' lhalIIXVIIIl'aIlS"Ximplies V"ur"Xisa l'III1M'lflll'III'I'ut Y" IIrmayln-"Xis IlIllil'allyequivalentI"Y." IH.Durrulerllrparentheseshrenksdownunless'I'isadifh-rr-rukilld syIIIhol,'I'h,'lirsllIIessal(l'shllwsthai'I'IIIllyheaunurv"llI'ralllr1111 quuntifies, suIhatATorTAis aquantitv,ThethirdIIIl';SIIj!"shllw; thaIitmuslhelhefirst.sillceTislast.l'lI11illllillpart'lIllll';I'SIhiswav T'mustheallt'lIllinj(.On linedij(ilitmakes11f'diffr-n-nre.IIrruuhiru-s theIWIIdit(ilsIIIIIIIIIl1keB.Ol:lalnrirhmeu? Ill.TrunseribesIII12:1'1'=IX H'/.I:.!XB',:11; 4!ili7T.., (-1XH'Il)xH',I(liXIl'I7xH"1. ell'arly'I'illllil,alesIhal"theIncI'I'dillt(diuits1111'111all",'1011 number."I'IIssihlyitis1111llel,,1 pili lit ;ifso,dit(ils1I1:1~'"''1''11'alll'rit. UNCLASSIFIED UNCLASSIFIED ";XTIlAn:IlIlI':STIlIAI. 1I.1I.I'AMI'AU:NI': UNCLASSIFIED S"Il"11"('alISI'"I"IIU'wnvI!WUllill1:isimplied,itissutlicieutIIIhavea ruurkr-r utIIII'erul"I"a1II.lIIhNillorderIuclearlyisolat e itas3single :!II.IIIIr~'illllI"IIUIonparenthesesitappeursthat\'isulslIall ,-,"linl:.lIulIhis,,1\1'rmnhineswithhulhqunntitiI'sIIhalis.dillils,) .unl",,,'ralur.Tr:IIISl'rihill~hyITI':IIjill!ValidIIII'pn'j,'dilll:s."Inh,,1as unitfurIIU'Iillll'being,weI(l'l: H1IA\'implies7= AV. II\'illll'l',/i,r"IIt'TI':lfll'r,Hl'lIIl'lIIbt'rthatWI'aft'II'"sureufIht' "'liS,"Iihi-,,i II.II-:1":.!=A\'11IUI\'I'ulllilll'dtheT, ;,Av,IiI I AV, IlIlh"IIl'XIIIIl'"sall"ifWI'l'ulUhilll'the0andVintIlIIl'svmholtlu- IIlL'ssa;:"dlll'Snotpar""Trv(:OVasUUt'symbol.I(ellilll( Ii:.!xSl)\'=,:I=SOV; :11I0V=',II=DeW'; IIis11'111'thatAVII'V=I'V+AV; is:lllIUllIllI~YthatAVxPV = PVxAV; lris unielt'lIlil~'llmlAVf-II'\'t-'1'\',=lAY-1-I'VII1'\'; IIisass,'rH'dlhalA\'X(1'\"xTV\=(AV-fP\'I+-'1'\'; 1\\',.BV,,AV.-HV",BVAV: A\...BV,I\V"I,.IlV", TIll'1II,'aninl!lIfVmusthethat"theprecedingletters3Ragroup hanall:Ihslra"1menning,or nreavariable."Visalilll!'likeaword Not:""llilll!inllan'nlh,'s,'sisnowcomplientedbvnnotherrule. Ead.TIll'Vshouldhepm'kal!,'dwithpn",,'dinllsvmhol,.iuslIIIIW manv""III'lIllilll!elllIhepnrsiuuIII'IIII'1II1''Sal:''.Thll""pn"'l',lilll!'I'will allIll'c1il~ils.ThllS('I'n'l'l,t1illll\'runh"I'XIIl"'l!'t1III rt'II",'uras";:rolll" :!I.1'1111ill;:pan-nth,'S!'sinIh,'s!'IIlI'ssal(l'~isdillicultUIIIilwe1I111in' llialII\'al'p('arsinenrh.Thevthentmnscriheinto: III:!I(jlj)fiV'-I>I>I>VXall= .UVp=DDD\'I I:!~-DllI\VI; 11\'II-,J)VIIII-I=IlVI=,!I=DV'I: IIistruethutIIVIAV-~BVIIAV",IIVI: IIis11'111'Ih"l(J\/IAV<.BVIIHV<.AVI, luonh-rtil"111111'1"11'theIlarsill!!wehanInassumethatllVwasa hinurvopr-rutor,alldineveryrasetheoperandsar!'srutements.IIis d.'ar'rumIh.,"11:,'hr,,Ih,,1trVmeans"or.'ThelastIIII'SSa!!!'shows Ihal II nu-nns< ,nuherIhan<asIhanit , 15UNCLASSIFIED 22.WenoticethatTVisusedineverymessage,andpllrlilleisIIIl' usageof IIV.AssumingTVis abinaryHooleunopemtor,thl'IIIl'ssalll'S isfalsethatTVIAV~BVIIBVsAVI: IIisfalRethatTVIAV=BV IIAV~BVI; AV>IW~-,.IBVsAV\ur\ BV=AVI; ItistruethatnulTVe:vBV= .e:vurBV; IIistruethatUVandHV=.TVllVUV; AVormvor CV)=IAVorBVI orCV; TV\AV'I'V\BVCVI\='l'V\\TVAVBV!CVI; TVIAVIBVurGVl1=TVIAVBVlurTVIAVCVI; AVurTVI BV CV I=TVIAVorBV IIAV urCVI. ItisapparentthatTVmeans"01U1."Nulil'ethntI.isuSI't1lwn' ItllIIean"ltll:icallyequivalent10,"althoughIhave wriltenII=II. Nu/I':IIisusedherefor<.nots . I~ilher Ihereisn mistake,or IheUSOllevaries. 2:1.Theporsinl:fullersuntilwerealizethat.JNVoccursin1'llC'h mes.~age,andisIIruhnhlyaword.BAVandCAYalsnoccurinl'adl message.TheyIranscriheinto: .JNV IBAVorCAVIRAV; BAV\BAVour!CAYI; .INVIBAVorCAVIIBAVandCAYI; .INVBAVCAY=.BAV=OlAVorCAVI; .JNV BAVCAY= .CAY=(BAVandCAVI. TIll'lasllwu"uudusiunsIIHlklikeHcItheurvslalt'ml'nts..IN\'parSl's likeIIhinaryoperalor.1NVX Ycouldmean"XcnntainsY"inIheHet theorysense,Thenif IIVis"or"inthesciIlll'urysense,till'lInitlu.and TVis"nml"inthescItheoryHense,theiulurseejion,IIIl'stall'III1'uis "anherewritten: BAVUCAY~)BAV BAV:JBAVnCAY BAVUCAY-)BAV"CAY BAV:JCAV=.BAV=IHAVLJCAV, BAV:JCAY=.CAY=(HAV()CAVl. 24.NKVIUllkslikeabinaryoperatorIll'whidlatIl'aslIhl'tirst UPNIIIUIisaquantity.IAVisuniformlythesccund1I!'Irallll.I-'flllII:l;l ubuvewearenlertlusel.thenryslalements.Cunldilhe IhalNI\.Vsays somethingisamernherufsmilesci'!Tryu.Theybecome It.JAV;2t.JAV;:It.JAV;4t.JAV;5tJAV;6t.IAV;71.IAV;III.JAV; 12t.JAV;AVtJAV=.AV+It.JAV. istheflelofpositiveintegers!ItIils! UNCLASSIFIED UNCLASSIFIED ~:XTIlAn:lm.:s-t'IUAI. UNCLASSIFIED :!:,.Tlu-separseilllu: II:lIId:!h.JAV; IIIalld:.!lllud:11.,IAV; (I.,ami1/11.IAV: Hii1111I1IlHIlamllillie.IAV; NI\I\')'"uIIBV')NI\IVI=,IA\'lindB\',~)NI\I\': II/,IAV:II',.II\V:II'/.IAV; BV"IAV=.RHlt,IAV; alldeVI/.IA\,.~,liV1CV,.IAV; ruv,"uleVIt.IA\'=,IWXCV"JAV; mv,lIIdl:VIe.I:\V= .liV"""IAV; I .:!,.IAV:lI-a,.IAV;illil.IA\, 'I'hi,\wili,',hl'~'(lIlddUllhl Ihej:Ut'ssuf24, :!li.TIII'r!'is aIIC",w"rd,.iov.TheUll'l'.<aI(Cliread JAVt,IO\': 1,.lll\';II. BV,.IAV=.BV,.IOV; If:!"J(IV:AVaudBV/.IOV=,AV - BV/.IOV: andBVinllIV,andII;0'BV=,AV.;-BVin.llI\': I.;'t'nulin.IA\':I:IInlllin,IOV; IIistruethaiIAV.;-BV) X ICV.;-nV)=IAV Xn', ItistruethntA\'XIlV....:BV XCV=.AV.;-B\'....rv: IIV,BVx nv;o<1l; AV"IA\'.11I<,AV. .11IVis,,'/'nInhi' Ihe1il'1l1~l'nprall'dhy.IAV, iu ulherwllrds.lIlt'Sl'1 IIIratiuualnumlx-rs,TIll'nextIIIthl'I,ISIIIII'SS:I~1'IllIsa~lIrhll"all extr;uu'llus1\. :!'i.Thistrans.-rihl'sIll: IA\'.BVIallllllW=.AVI~.HV.AV.B\', l'I,'ad,'II VUII'iII""loeivullyequivalent."IIr...."... I/\\',.BV)'.~.IAV=.BVIi11I1IIBV=.AVI ..~. BVI .=,IAV=.BV)andHW=.AVI. :!/'I.Th,sl'I runsrritu-til IT\i'"~!l ".l:Vnot in JOV; .11IVisill .II':V; Visill.II.;\'; W"han'aIIl'W5l'I,contalningtherationals,andat least one inaljUllal.hul nuttheimagmeryv=t.JEVisprobahlythereal IIIIIuhl'fs. 17UNCLASSIFIED UNClASSifiED ~:XTHAn;lm~;''iTIIIAI, 29.TheseIrauscriheIn 1'1.'"in.IIW;'_..:1"Iin.IIlV; If"ill.IIlV;INV'"ill.mV; NLV.IIIV.Ilassulllill~NLVisCllII'worrl.AlIlIlIll'rpllssihl" parsillJ:is LV/.mV."=til IIIill.ICV;1/2in.ICV;1/:1in.ICV;1/NV ill.IeV;N LV.n.v I)IlIr LV/.11~V,01 ."O.BUItill'IWIIt'Xallll,lt,ssu\:\:t's\Ihal NLVmenus"alimiluf."IfNVis111Iiull'\:Nthislils IINlt,t'II~.1 1/4)'ill.JBV;(I!..)."'"ill.IIlV' (1-.NVill.JBV;NLV,JBVill,II:V. IfNLVmeanslimit.then,IgVconrainthenumbere,II veritlcation nfnurlIue!'.!;Ihal.II;Vmunetltilt'realIIIl1nhtrs. Iwnlessons:llIlulIl:1IwerenlllpublishedwithIIIl' tirsttwenty-nlnebecauseitmadeInnlnn~anexercise. :10.ThelatermessagesnfthisKrllUPhoveIhemysteriousequences ABCIl,ARCIlE,DEFt;,etc,eachcndinKwithHTV.II'wehlllllhthese eachasaunil,themessagesparse.TheythenSIIY.INVInaturulnum- her;.INV2naturalnumher;.INV:Inaturalnumber:.IN\'1'J.:1STY naturalnumber:conjectureSTY means"thepH'n~dinl:isaSt"lllr sequencer,"and.INVmeans"helflllKsIfI."ThereisduuhtlIhllulthe Jailer,sincewethoughtenrlierthatitmeant"eoutuius":A\'11l'1"II\:s InI'J.:I~'0'AVis1\naturalnumber:12:1~flllr~flli7=,15a"sets:1'J.:I~f, alU145li7=12:141i67ussets, :11.ThisIlislKrullPisIII'impressive11I111:IIillid".11nll'ssa,:,'s,III' whichIlwIhirli,'lhistluih'111111:.!'ursilll:is"asl,1Ih~tlwpurulle]1'1I11- slruct ion uf I helIIeSSUl:es,TheyIrnnscribetil: IHAVhelullKsIIIelfAV;.JllIIVhellllll:sIIIeUAV;.1HI;\'11I'1<'"l:sIII CIIAV;thesci.!HAV,.!HHV,.!HCV!HIlV,.nuev,,JHF\'..IIH;\, hdllllJ:SIIIClfAV;[Sinceallthedil:ilsappearilltheset:Wllps,mavhe I heyareusedlikesubscriptsamishouldheread.IH,.1It"I'h'.1;.10, hl'llIn!:sIIIeUAV;.111,.lIellllll:sIIICIIAV;.10"helllnt:s1III'IIA\';the 22.10,helllnKsIIICIIAVIThis11111'11I11111heparsedwrulll:IIrI:arhlt'dI; ilL,hl'1l1l1t:SIII,IR,;HI.,!IelllnllsIII.IH,;Bl.,hdlllll:sI" ,II{.;Ill., 1II'IIIIII\sIII,IR.;HI"shcllllll:sIII.1It.; AV..,:llIlId12?AV..~.HLIIh"IIInl:slll.JI!,; AV,I:llIIul:1'J.~AV.'.,111.,,hr.IIIlIl:sIII.JH,; AV-::.!:land41e:AV'~.m.\\hdlllll:"'".IH,; UNCLASSifiED II. II.1t\MI'AU;N~: UNCLASSIFIED ,\ \.1;,alllll;l; .A\,,..Ill. \,hl'llIlIllSlo.m.; A\,'Ii,aml I:.!li.A\'.Ill.II"1II'I01IllsIeIIL: ,\\' I:!,umlII:.!:-AV..' . Ill.1\11I~IIlIIIlSto.m,; Tlu-s"1Ill. ..111.,..Ill .. ., Ill ..".Ill.,,hl'llllills10.10,; '1'111'sr-tIll...alllllll.,..11IIcl1\L,,,alldilL ..,amiBL".helonlls10 .10,; TllI's,'(1\1.. ilL, . liLli, Ill .....ilL".1ll'IIlIIIlS10.10:,; '1'111's"lilL, ..". ilL.',..111.".ilL.;..BL",helongsIIIJO.,1IIIIIeaIlarhll' hcn-.allNisrt'II,'all'cll: Th,'s,'1IIL,:;,'IU.,;,HI.".ilL...ilL".hclllllils10.IU,,,; ilL",.111.,,'..ilL,"..Ill.,".HL" ..,HL",.HL",belongsto .JO,,; amlilL...:lIldIlL"..llI'llIll~10.'0,,; Tlll's,'lI\L,,,;lltr.:.i~L".'1Il'IIIIlilSto.IO,,; TIll'S"IIlL,,;Hl..~HI.",1II'IIIIIIlSIn,IO,.; '1'111's,'lBL".fit:.::iii.,,,helclIIllS10.10,.; Thest'lilL",Ill...;1\1.,,.IIl'1l1l1l(sto,IO,,; Thes"tHI... ilL.:,BL,,;belongsto .10,,; '1'111'sl'lilL".,IiI...".HL""h"ltllll(s10JO,,; ellA\'h"'"l1lls10K5I'V. '1'111'1runscriptiouh-avesaJol10heresolved.Thereareseveralwords II",IlII'allillllsnl' whiehure yetIn bedetermined.The word CHAV (or I'll01S""lIIStilh('"1'111rul,ThereareS('\'1'1Iwords.lIt.and"il!hh"'11 wllrels.111..lIlIcll'a.hIII'1I1I'st,1II'IIIIIIlsIII('IIAV.Therenre!IllwllrclsIll." I'ad.IIIwhid."",'msIII1,,I'"11ltilaIIl1iIIU('.10,. I)IlI'Seachalsoh,11I1I1lIII1\ uniqur-.m.'!WithIhishintwecansiraillhtenouttheI(arbll'dmessage itn'mls"IIAV111111AV<22=.JO ,,'belongs10ellAV"; 1lu-n-wasiIVomit..//'Iwa~nlsnableIIIreparsesixolhermessages,I will11111hon-yuuwiththedetails,sincethe listabovehasb(','11 (lIrrl'IIIcI. Silll'l'(':I('hBl.,hl'lllllilsIUIIIII'.IH.lIl1d .10.. these('1111hpdisplayedill III",HI.", UNCLASSIFIED UNCLASSIFIED ~:XIIlAn:IUl~SI'llIAI. Rememherlhatthese arenlltdecimalnumbers.ThereiRIInly line(,ell with morethanoneentry,and thesubscriptsinifindecimalnllialinn 91,92,9:1,94,95,96,97,98.Thelargerpartor theenlriesi!<syslem- alicallydistributedin the firsteightrows.ThisSUKllcslsIbe Ilerilldic IIrthechemicalelemenls! Oncllnsnltinlla tablewelind,sure lhalelemenls57lhroullh71 are rareearths,and lire lumlled into one cell. Slime,hutnot all,authoritiesalslllilllll!llhfflnllh10:1OR rare.'llrlhs.":hmlenl!l21and:1!Iare!oM:llndilllnlindYllrillln. CllAVmustmeanthelIeriodicto hie.lIt,meanscolumux, and .10. fflWy.HI..meanselement Z.ThemeoninJ!:IIrKSI'Vis nlll ncelltthatit is ageneralizalionIII'"llCriodieIahle."11lIIay merelymeanloble,IIrscientilicfuet, ornniversitysubject. I.llllkinilback liver the exercise we see we hovepenetratedthe meaningor the basicsymhols,and even moreunportant,havelearned slime or thesyntaxrules or thenotation,and have caughlmistakellin the process. We have a rew words rorsophisticatedconcepts,and, moredata,with alittlelabor we couldeslahlishilshonslalilln. Theconceptsused here are the basiclinesIll"number,sets,1II1t1 physicalconstuutswhich anyculturesmus!share.Hllwhi7.Auethe sylltliXand values ofIIcultureclluld he Icannoteonjecture,bUIlilly civilizationscallableorIiCndinlla message uerosaspacemusl bavemany thinllsin cllmmon. UNCLASSIFIED II.II.I'AMIAII;N~: UNCLASSIFIED BI'I'I'nll~'itlWril'Hul"rallinlIIeHsRlleswasheardl'olllinllfromouter spal"l',Tin'Imnslllissiunwasnnlcentiuueus,bUIcuIbypausesinlu pil'l'l'Swhirh....uldhI'takenallunits,furIheyWl'fl'repeatedover:11111 U\'I'ril~ain.'1'111'II:\III\I.'SshowhereRSpunetuatinn.TheVilrillUScombi- nOliiUIIshOI\"!'heenrepresentedbylellersorthealphabet,snthatthe lIIessa~cscan.hewrittendown,Eachmessageexceptthelirstisgin'n hl'f('unlyunl'e.TheserialnumberorthemessagehasbeenSUPIIliedfur I'm'hrl'h'f('I\l'e, AII"IH';11.1KI.MNOI'\II1STIIV AIII:IIU(;11.1KIJlNOI'QIISl'lIV AIII:IIEH;IIJKI.IINOI'QMe I c 2AA.HAAA.C.AAAA.Il.AAAAA.E.AAAAAA.F.AAAAAAA.C .II.AA.1.1I11.. IJ:C.1.110.LEE,U'F,LCC 4I.BKAA.I.I:KIIA.I.CKAII, LDKCA.I.IlKIIB.IJ)KAC:I.EKDA. U:Kl:II,,t:KIIl:.I.I::KAIJ.Lt'KEA. I.FKDB, LFKCC, LFKBD. I.tKAt:-. t>I.tI\AK~!.tKCKIIA. U:KAKBD.LCKCKAC.LKAKBCKKABC I>I,AMIIA.1.1I11l:A.I.AIICB,LCIIllA.LIIMIJB,LAIIDC LDllEA. 1.1:111'11.Lllllt:C.I.AIIED !.NMAA,I.NIlIlIl.LNIICC. LNIWn. 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