yIpyIr<K_Tn^T^;FZ;BR<`:rpH^IV[Ff[FN[If[Ff[K>\\IN\\Qn^Sv\\Of\\Qv_\\^^Vn^rF`uNaqF`pf`wfbRWcwFbNObon`GGgH_dUoe]_f]_aD_gn_gZWhRGf]weyYU@JB@kBXKDXkP`kFplixMUxmixoi::::::::yIj@K>@jZLZ=FZ\\b:]R:AR>=ryCpIR:ER:=R:=Z:>:;:@J;HJ<PJ=XJ>`J?hjyMfo@<?R:Ar:?B;AR;EB;CZ;fi;NZ=>Z>F\\?N\\[F`;oZMFd[wZ\\FhNN`;Hl[@[]NbkHrONdKAx^V`\\Oh<H[Dn\\Q>]SN]_n^a>_cN_nf`pv`rFatVb>gb@wbBGcDWdNgdPwdRGeTWf^gf`wfbGgdWhnghpwhrGitWj>hj@xjBHkDPlM`lOplQ@mSPm\\Xn^hn`xnbHodPpm`poppq@qsPq<Yr>ir@yrBIsDQtMatOqtQAuSQu[Qv]av_qvaAwcQwkQxmaxoqxqAysQyyaRyR:Hj:FZ;:<:;Z;N:C::PuBNZ;NZ>^Z=^ZAfZ>^:=b:im:Dj;@K<PjJ@M=DkZ@o=@prHKKDm:]JDDnBAtRAv>HlSDOrQKkDqbeJELLT@xL@yE\\kFn^a>?PMUX=:::::bZAF[E>:::::::g@DxkMHJsIYt;NUSr:=J;@k;@K:x]<Ha[_vxV`iYdIF^uPkByioykoyaHAjB?wG_hm?]lOm`quP>wBOyTFgkXdqiffgyeW`uokFHgeYhjnrVnynVh?VkGxnEaylni`XneWa;@rCQyTNgYqcwHrcx\\M?lw_vNfeDfsO>ut^]x>veGnJIn@XeqFg[fkUqmSGZovsIG`SXpFxdCGvMqy?x^]QbVQdRysqXpEgm<?cCyrwfZRWmAgkaN[^W^on]RxcpauYPexwq]no[p\\PY^TPnDOiX`mpAbjNfJotbWfXxnOfteyapnk_Hqrf\\CQk@`dWGslViLni@hpnieyvs`Om[qc?awuot>gckXr]?agieT`sPPyJglQqgQgnCNkT?]yhgmXbvfgeo]mgjufZ`o]HGhDHc^wdKHm@GZwF_;NnL?q^F^IQg@VhNQtnAnTxd_G[TPbIgo@Fj??uSo[AnthHwpiguGhj`]ZfvUAtOO]bao:gpJivVpk^wZTX\\MN`h`s@NhpHwox\\FPyOQh@F_mnreOdwf_^XpD@c;Hl_qarX[oQn\\Q`Igox>]^hmpabuXmSfrSwqkXiwFj^qb`_wahn=ggmVeHQl@AhNoyNXmc^^?OjRVjNAhdgd=NtnhhU`hIf]VYbKnslfiGxfeFdpOZlHjMin;FbWfZ:VxHWZTp_GWkT`cKvsvOkbQ[bHs>^fTNjnA^wHmOg\\:OF]TZodH?ryTtYhyIUWNqW]xVNuV?aUm<SjeqbUq<hsWhqsXT^Hy:ykayRRlRyQOilxflyO]PP=NoqViuTqUuUQRptxsAlc\\UDuyC`XdtTGqwlUjdakCxK\\eqciuDdrwYnuQnJ@oxAWvMWDAk`YKB<vKAwydLbhtxAwvIoREo]@KT<W=]JdyRWymJHo`\\pBYVH\\rJQSWMXApJ]txRqsTEQeyNYDWnxVrEYO<RKQkY\\uY=sMmXZtMkuY[DrNHmomN[pxAykrxqJ@opEOy\\Xxat]eS_HpCDpmuxAevHQxMyKNly<]lLyx`\\juXSIHmRIQtMK[atxQVxQRXDk\\<MIeP<IMoxY:Pqy@La\\jImwi\\Vb\\P=<rEDpy@qy>cKsxQWxOrWkccaH>?x\\uaLgZYowIPsV`tNDqYswITsGTowItsqn`j\\Am>Quyded^cIFbE_mLAd[>[SFwGO^VHg^@t<>fLOdLQ=URCUSBQIJChbAVL;T[UX@Cgb;FhmwbcC_[t?iBGGe^ONh@WGeNN@jsTnn\\LJuLQ\\p`QLDFq]`@DJmmRcAOZhJGIm^Pn;XKTT@:eRkUX@:r?:Z;:Pj`a;XKTT@GbEKUm>[VGtT<JkTX@k<qFZLD:ZEVkTX@@jrHAf::::B:adUEuUiy]aYeQtHKsamF<ec_mxvqvAwxIWxeEXAQHB=HDUrVUgmiVf=wVEGK]h?QV@IhT?h^gc\\?D]mS?mWRgI[_e]Eh_KgTKh?;yG?dXaHacUhMC_ED?xNZ`papkohLGlO`Xw^DthiwZmpb\\w;lohulaHpdXKkLPQuR=MV[esOqNXgcTNvfvtK``ho[G>fe>p^I`@fmaYcVxwvfdmO^socepdGOy:gdZ>l?NhZVyOWlyOhKawlN\\xpj[HkTvdTYjgFcUAn??ePpsmf`VAgAndhxj>Q`Bfw\\wpMwkdWn[XulveiImj?\\qg\\@vpqoxEpv;QsiPZWPmMftN`dLwvN>rcguxgp?V[VHtGoZWPM?TTaSLqwCeRhIWKAeWUThSf_qXamyuUtDMvhkRwaxQ?uIYBbsB=ObsGu@uBosBriXLoeqIu[]r[sc<?u_AdaIBaSbyeRnYXTeUCEGggSM]gGEeiSEAghWaf:ECeihnWWv[Rx=RwOg[_yW[VlGIh?uXwRDSu=]togwnotmEim=tRWXJUHJGRDIIYCvfGrRuhh_HDCBogfgiS@wUn=YgAUlSfo?c\\KIu[tAYBlwWmkd_MwUMSWoFrATZ_y^wHZ;cDouniVIURTAdcmEqEtXCr[aXbKguSUCcgpEu:UBnAfLgY?WWMAwGivYkrCqBhQWNGTdWWlyw:kwmUWSGtmaBeOfMcDsgdc;GI=Y?SIB=ikqRAUFA=hlAdIavWIIL;xDMCCAf`YW=MFXGC_[wNmRjoToiw?[gHMxVWCBARVCcyeV=qW\\UueCUAmBhIgVodF?v=cFfAIhQwa]YE[u:CW^yfTWWF=Vm=CQes?Es^QxUQEfcwF_vYoWKoCDeXEoXTwerYFmcHBOb^SY\\cUw?vGKrraf`cWkcheEc\\QUHIETefLcYkaSLuek]daKBdWEjQfLoh]YbWmstSTnyTy]UI;rc_Uu=GGUCi[cuGg[QYOSIsGRrivxmxd_r:oFS[SAMcXof_wx=es<gb<wWgqbCgHBgSVwHd=TJcc<]c`KuJ=VxUtFuGLQwacvWCWWOBpUHNGfacfZ[VnwH[Ar]EWC=cC[f`;uBobLUB?=C<UTBEwBSvnMbc=b`MbcGi_;F=_h@otJ;T=UX@?g\\=EVCGb_HNir:MdLMEDQR[cRN;T;cRN:BQKcbONNDT?EjjQND<o:P>ib<Kcb;Fh]TKcR;?h\\KCb?b\\K;:::JQLkbPN:LkbP>FZjOnD@_:NNZEfJf:::^E>:NZ^QuWwmTq_^i_JI`xihugdWhGCT@cCT_dBQHDIs;]eyeuPqd\\IdhEbKcdouBGiciCg`uTrme=]iZEbHqeKughUr]cFOgDVKfBQXYGytqD^KwPGS_IDHOgPUWLWEmIx^Siw_I\\WhFuedUioyv;kHYSI:]e`Ihgig_iYNQx:iXiUutYHskD\\IFA=bNiShOx>MXk?b`YbXsdoiTGuBLKUAKeCQFZefRWHsoHmCs<qW?sTnEDuGS]QU]=UsURsGgnuXVmDU_ULuSM;ScUYMiGBOdkef]wfSEfeEsH?uQgXeYxcqdeufwkGa=FpwRwGU@UsS]h?YBG=C;WU@AgO[S]os<QUX=T@sr:gT^eVqWxVsSvodWoXGcHlsRu;dXCUwMwNQdGigGUxHGR\\KXeURMWu@eTZAEq?C@Gh=ERC]RhgeFWCWQvdCeFwSqAgnWWPoTLURbkUAsSpItCyCWaDY=dVoBrIDAEG_YB`ARkAU\\OB]GBGuDBeH[OgOGdOmCB_YYQuYYtYeGTaspyQDPqaEjRpVhHwQtq\\MQQaq@]utPyDXMdqPntobyXjErNpLqTvkxPgDW=yv^lUP<sIhS<@YgAUqHPSyRcHOmuXUISmeVIYnTeOCiya<usujHqulAq@qVxMM=PtWQJdHwQ<SNQLSHJedKS<r>lMkQUtTsuDwqtRS\\NPQjQHLPen>TQjAj^TsBQw>lqQmJ^IV@atIptsTqQEphPrrISF`Y_lJeUrXUqRiog`XNaq@AnCuKYQS<]TsysBqn_Ds\\\\TGivpLtEyJE<trAkxQyPiKNEKNHXlduChTwdKZurZirALM@eQeDT@]lb<W?TxNaoPdrbtlgisH\\SVEmOdYNatdqL\\pNDXO`]tiEv[QKDiVIUrF=u;IYGXvgYK_apXmtSqjNaQ@hrnuUMerGhWnLL>io>IjteloxKnXjlaTk@Sd=YpyU[`pwaQJ<q[lve@kx]YHHPe=rveX>`TEeyt<Xa\\wMqR_DpVLoy\\TO]o=MWAEn<ltXiPKLNJHxX@qgDtpAmFqpCtSjekKatxdrjXS=Qny=JtTwbeTLynL`sauXk@t^Pl]dpbYukppMiMIekc@rb\\JPanvYllxmpMOSINmQry=J_TN?\\M=TU`TtBUoNlmVAsxyjTTUu\\UAluNmt=hk^pkr`ydpWQLxviTqXxJxrDlthlVOLNgeufqKKeL@UpNIJePyChy\\AnbQncPKmDLIalUDP;QN>PrsYuTAMEpLr`o>]x<<mpTS]hkNql^IVA]sDlKflrFxJ_LTMPvt<Jjmkc]yRXPceS`ikD]kLund`t:aKXDWcPrMPTTXxXUk:`pAdnRHnITSFUJv\\t`xMXHoR<^_`nNF\\:gj^``RPnR`eD?_\\@jJNtLOmD_Z_^\\KS;cJ`DJ?]LLAj\\LKb@ZN:jc<JKeb:b\\MkbPND<jbP>::::BjKcb<ND@_:^<<M?\\\\JhZNBJ:::::ZFO[kauwhqMQpyAZrwvmYoGIoAF]]NmDYmwaiYxwYxv:_a\\AqsQmJaw_ibsxwX>b<>xmNetqik`]pOvcvb;_exib_N[:OvHpjGNdBnwqHZV`tToVubnEFMgX?EcI=eVeuAEdF;fTQrAovFSTcUH:qCGGu`ovF;d=UhEOiSMED=rxYVeKC^Af^UdFYvsWdrKEnmGoEiaKcrWH;uUFAdTiFM=FMmwkOTm=H?Wubmv\\ev>mF@]GE_uMoeJeh=Oy<_DhSyLoW]eX<OUMch=CxxMwWexY[cnWYbWVkcfaeD;CC];gwGBcegaKUSYsUUFxGHLWhDKbbYsl[eDcYSAC@=DPWXcgWECdTqt?aECSYPkFsGYe?W[MYkidqMtcgBU]EQ_G_EWhOEC=IZwCwUIreTNsFs_huIc\\YH_sUcuFjSvnic_oIOsur;briFVETjCi`ms;;UlIc\\[EVidiOUdGEqge`ofGWcJUYCYv:eBYEFh_faIB?]gikb>ks;ovguy^sEtOR[mBuYTGqRtiGVGStefJcimWI__eFcEG?waUiGigCcDNKfFkWAQsE[E^=u[kRegbZycfSCFshk?sAaCYsXfSO:=qn\\n?MKqmLdEsklYOIsJHO=]kPqsKElJesPlYBhLfPow<mTmVCelw`PJMrqLpkDLHIR\\<USIkBYvPYorPRkeukIlVDVmqxPYVu=rhmym\\tNYpU]PBAmj`x\\ApnXYktvnQpZilbQRttOtXK^ERMDVIpNtXlsdR_lVLALCuNZ<xcIXelRU]N<tjDMPXenCxju]m]qtmdN\\AuVpMo`RMTUp\\nZxMwtsJ]kvxNBANO]rl]oBdWPaJ=ExgeqcmN`PsbAO>lKkisF`YFLWmxoh=uX`NLuJ<\\qHpNbxJ<HpNUtBqVRtkNhwVQVRDJedSher[TwD]YjmJbALFMT;lRHEXLIJ?Ejk]nNqtPLLW=SLIpo=oCtVOHXipLIUs_ik:LLXIKHmku`THaukLqodN?LTdMNEuVDpp?=QPqYZ=LkisxLKETkJMxLps=]kHhlBtPDEYb\\ttMTEUOWELVXyBpwAQtsTnPUnpIPY]QplMkTxMyQKdXULy@hXaLtddjJYnjhnhXREMVTLSoeNjPlLpLDFD<JDEob=N<QTKeR=LkbPN:FD?b<Kcb=V[cRN;dZOFD;g:_f_OF:MSDKEb?b\\^Z_PN?br_TnE<<jLpLD<oEDKEeRN\\kbP^B>_\\Pk@:cZ<Z:P[bRZj<::PlP>[bJ:NNJ=J:TP`YNgQlIpxIYx^`nYlYxhVyaYyMQbqNrpUaQyRyLq\\LMUxEMM>doNHM_pJ:Lkb`NG=JNpvL`KJEPGalSPN:\\LT`UMAWZtj`MKDUpD=Vi`PFTP@AWG=Jm@Q]pnVXrL=M@Eo:`JLqVD<oWXJgXU@\\m[YMjaLU=WqALFuqD`PyIO?Uvs\\x?eR:@q\\amgdS>uknHXgEUwdsCupkuRdqVleSZhWv<ttEXC=n=ajVhTeUQ;MPShNWLn;]YFARdDr:eOulRLLUIALbIrB]ycdkTEwB<TTEo=dwkYlfUWFqPP\\SlqwMqYtQUD]n;pLbMoY\\P`pycer^unaLPwHM[Aw=QvWdkeTNgqwslkGay]AOgtmI`Rlts^pksPXQ=NQEpfDO^<RcHQV=qoDTbYtDuL;eTqYnG\\owTORiUhIxQ]j\\eWA\\xxHThpwo@pUam<trrlSktToAmgHvSpt`aWdHpBuksdrA=Od=pcivgaxyWwIwuMXyxXrXIqSpwxNhFYcBiusGs_P_WP^op`_hjV_qoieKpp`Vt:HySwq]^cc?^vVn<paopj^>qgy[ON_E_qjO[jXwSw`oVo?O_rNiIpll^tNyf>FvGG\\@nlKw\\ih\\QX^BAntNlBOwdfu?pssY^kGrGIgEfaHOgnhfD_efhtLPtJI_Sog\\a_r>^tFxgAeT_jJor[If\\GuqYotPoKxhsHpQ@dGof>YbYgwh?bNFvpfn]OcRAi@Qkbpm_Q`BOgWItZPZm^_ManKwpDy`jF]yfk_wu;gvxhvuqniHuhylCglIgbIq]xipYassqgIPaJNdT`kExx\\Ft;N^ZyaKIjd@gEQ^hoe@Xph`]fp_;OwdguYXsfWjUi`nN_tNkfaohO]n^^]x\\lggopiu>_PH^_fr<abRgfO?m<NgHPhjOaTXqg@lPpxjhx[olta;ltvILtPp<ItpeTNDmLaVUYrB]lqlQdepuvbDgndvgGxlxP_ewZl>bAFh;in<WpcHqr_u\\VroxfnWs=gowFd^@hdH[afp\\F^`O[s`_eOdsWnKiw:AdXnw;?lu>_oi`oPcDP[fiv]pbOgfEQ\\y^w^ij>vlm__=Wtv^tIo`TxnD^wXAyyFvSw\\qvc^njCgu^@ltamOigmQlDGr?QhuQemptbfxXV]EVcWYogfcs_fm`a@yry^eNG`DQpFHnBqsefaacreDDOemoV]]g[YBmshOcySgcpoFH]IWKUjMcNefumDKIEVOGcofhoHMwDPaFN[fKuWZecTIt\\ITgiTSYRWIcDYBJuSMau_iVUAS`WECIuVaxaEYNiT>IulebWQe[;xvIhpcdWGTdocNUf\\QT:SiTAbwAcyKWZSYJeB^GS`mGLMdAGg_mcv=HS?d[Agpgd]Uw@qE=srqOS_mfb=xKATMOWuqGAsb@UsSaY<GD@EEuQeceFXcXwkSVkSH=iqogeGifkdJAsOkGhKtlSBZKDA_TYovmwiYafyoI?iFjMxc=XBur=GRfEY^?u@kfS[WameksUduB`sU?oB_uEcuV]Gvgaw:ySTaDw=EOwDLCdqoTFIstcdIcx[OGfwBg]W^Ect_GAUFiofheeTmcPKdlwg@CVTmwNuVpEG?YtFCV]MtRoTEIwPqHDQupEfKAcuWFgkYAcUu]ce;f;Me=cxmOEjkGhmSTEeRWYqMHs_XeudksTfod[aR;oR^gY_uR^OwQSdy_rqstA[idaXlKedSDSwYgefsWhY=e;EtHUi<Ohl;xd;EvOUIEGTWY]ug[WbXGdPiVNgXKSRiUbHQGp?VEiXGGuhgxkSvw_beqXpIDC?SPGIPcfaiCFmbdkudIgFMe=KRrmcAeXagtrqrbOU>aDdAWEkVYovmVvyeigH^qhP=Rk_x>Sij_WQCXTmwhctAOuNsY=OfrWfBSggITeaL=Utpamfesqup;MsCYqk=OBYnXIO?MqsDYHxK`HwhqW]@XaeMe=w\\iLsqvflsdEUuItaeNh\\VSetf<rH`nPUJRYu@yqwXQGtuVpOjAKveK`YuFyooxtkXoTPqW@TBQyl>aeQthhqA?[mabaQrKgkd_mLX_Vipv`cO^^fFc@YhQ?^lhk[Q\\IAhkX_wguFqZeO[FgqNIcUioh?s`hcVVlIylBqx`inNWlapse__w>a\\iaO`xIVpSwvxqa]yYVjgwfI@ytycuIweo]A?eJYpp?ox_tA`ogwkVodk^rOOltxb__cHN]UhvV`wd_\\?poP?]^Ishomoihfig\\OvE?s=qk]@iRnowwewguuPblWbpgwTOulhwvHsdQsCbXmgOsVRSXRQT<OTWuxDMYnaVyovmVtxQyT_fJPe\\Nlmpjx^rP_aqX[UfGaVuUtPkVlmYZyTe?teetd_i`sg?erLevm_DwSs^Mhf?cX?Igwdk<L<XuBYRqiU]Qnk`pYmLPIXMux@`Po\\Xy<WAqwh`muqTOMWD=LLuR`TMIPKodupDsxesa;dR^<L:lxIYQbeR_Est`R;qx^uMDAU_DUlutZpK>mTEElLaUHMqWtk=tjl]vMyXEtv:<XmmS?qO[Ar^EXNunaukLDOv<X?quqTL_\\nXPntHoNekBeUXlV]tKf`Qs]NbiqG\\PVESs=mkyxQ\\SVTtxdS`IYuMty=JYQr\\htNIK]YxOylYPRlhVSTNZ=k_tKZYoKLVdDol]NtAx:=tneLSQsCUMlDr`YKKLxRLY@dLHQNMXs_mRt]MOiJtLrjQsEqMoqOVpxWYQHpriqspdNPMxpQlkHsCXrK]jNHoDqvNmlPEP<`nutkrQwulrAEvSQXnDs`drviTWduBmMqdQWIyfXM>\\oqxOYQuIUWhXp_IlylxleMITwADopemTtljYjcPveTUDqNIHQ^=X?QuB`WO<UpQNutWo]XseqfYsLDUUarrPLgYkHLOV<XeaPCIlNtRStnVTxPep_iR<IquasvXy\\QpfPPmQsamOkauNQWDeTVtu=qQxpMV@o@]nXaou`TZixepXTavlxR`QSX]txqnaHpqpjTiuipoxQwwitxIXgEuTqK]hOMylSPJ@ykDYjZPNpXnKPxghr?HrtXOTpSCyLVHWK`YxHxJpK]qN[xVj@N>LvxHQftWxpRyuTKXNk`p\\HvNLvBQKIPuEqmwto]YoRAvUhV`uo]`NQlMFav^axCeoP@pp<K\\YsrXrHXOvDXRqxgdM?ivF\\VF`mPqoh@QTtp]lLHIXYil^TWDapN]O[uREpS_txDMYnevuyJ<tnDlKUunS`NdvuuO]pYZrVoriocHcDy`ao_`^mcgdjwk<Werg[>YsTfxoNgEWcrFryUMGtBqieMcpsSSWw\\Wb\\eW`cutECo_wEGdVItnec_?sfGGwoCVkCP?Q`qXj`PKHY_HLlhyceT<yuWaUAun]IreXVKPuKIOgUnmUMOxRR]TjqnotPqPpf=sKatk<W?@uLPTGMQXqry=jhQPTpvXdRhqrMakDtNsQm_`ue\\pjiTPPnfHoTuRHUKG\\K=MWFqRLtqnpr>\\mtiTUUQCpWsxUOtJPeQetoDAkVqUjhQHqqOhpflUNPn@AugEk:xu=xXGHqQav?pU^IT<UydmsKDuBHxc=pvuosHLA\\umaYdpLMtSvDo[iXGUvv<ylIlhpX^XpByMeENZTYPQK_pvhHlT=wZAVseNaPxvQt<ML?`sveushnflvomLRMsVXxIePcEXW]x^evU@SmEpnTvHuNfhmJ]lLETUaMQQLDLUk<rVQsrxY:xkcxQYyqF]tSEoh@qtXmwqXxeXO<xwtS?]WhdSbLWguNtAJQ@X]@xbDOmARfYSKXS?]rThk`EjRALT`SNYybdUBmx^dSOpMduPJajSTnnhSNmjW<w;Hy_lNhiMd<u\\pl_Qr<ijIdPCpJ=AWGYUY`suppI`SPXpmtTO@SMQW<QuI@S^Tnn`eG>c[?pMQlj^eagn`FgmOdJYsdidQ_aNo_UIkbx`YNer_iPoeCioDWkjHxVXtNQvShqkwrT?dmWdDisM^cyWdTpirfsovdnFvM`xb@qhQ_pHZGIgc_igxrLQpHY_ISrWeIyFnah@]csIXpyXyoxPKDp;HcMSHQYkWs:SR>[vXeDhWeqKBYKwrUvOKyTkRMQccoEhsGIOYLkC^mIDqrH;RGeGSyI:;unECi;SXUfvEGR=xDMDI?wJaXcSeTUfgGho]BjEy]ww;yI:wTgWUnmWjOtaeSOgbRYTBKbmMdEYtNsHoghwqyRSbY]IsexP=V`=uQadPIEB;IV]SNUtXigGGXMoGiuW>wboucDkTrmdMKB:qyNgugauNIDZ=tmeCMAiUohbSWvkBSKsKIrc_xdmdyWYyAeyibBgWGKEj[BlyC\\]ByQw@qsUUwpuYbsytkSTgs]GtfgIhEuGowyTrTPuBuYDySqyJmiPQPwslqyowPqnmxy:v]cwy:^eAYxoFmbwcUyuwQukSperypWjlOCAMOLkjLyNW\\EYthXdRnryglGnrBbL=FgQx^yH;wY_]X@cg`sCtEgmugM_EuwYrmguySaoTZyI:_EaWF`OwO;WymVfOYD[YB_IogFjExTEFxUtfycrYwMaiGcIlsyxKxoKw;GCbgheCxg_FlmCOmyO[ydofQqXMwcs[iv;djuyTyVhGe^KTryRFau^OvDwSTKw^EfQOH_OwiCdPudsKScweeaSNoxGefWKhXicBegUSCSYFMOfJ;R<=vkOekyFs_VHIvRAvNybVewhoVMqEYoRY?EWoiN;WTWSSqY^MSGUvXgunQXESxcEc]tSIQwMyUmDRpqSltY\\Tw<XWBpY^LkelqcAO@LjddMShTdAuMMvFlnaiVI`sO]SJdS=QkgEk:`w\\foXXaQaiLOcBIXqxWAUPedi[i;cGWkFOOXQ`JF`VOMld\\xIeVcuLhPqqXss=VyMUOuMfTud\\ksMwbDmqux`qW`IsV]mMxrjdWNew\\YX^HwY<LrDtH=Q^@rYelTmp:qPbyJ`XWQDkUtP`PysdNHeRTHxR=l;pk=PX^\\VPEQ[qS?eoqmm_@Sh<Vk<oiEVvdTCtYqMQDAqCIrgDwM`sLiUIdtsdYeQL_uX<IXN=leqsYpweeUoiQtysUAvTtL=QweeMXLnu<Leqjauw?qYoqWBUKbqpgqm]ypPU`[`lnHfp`mG`tdHc@gpSAedOhcXjjokiqy;v`Mhl_Q`x^lOIkJgvQg\\fNyFhsCV]\\?dA>fyorUXgiVmDFqJpZpQegynPg`p^avobTfnEF_PhxQf_]ogQVaNwYOTkkW\\svDKSladnegc_EvUIESy;ewSMG=[U<KXwWgH]Y_oCaKYw[wFEfTWB[uV`GEHuxbSr>cR]Su@_vbySN]dk=iMKtCsXOYfGACyYSxYFvWgdeur[tv]E@OChieWcguccJcDRUu:uYrQTsigdyI:yhJwf:]B^WwYYCvAw<uYpysM[YeWXBwvNyufyI:ue<ug@[cnWMAYrXIOKxm]ly<qO@YLuQO]YmudxOdmamwmTnG\\yRQYRtl:=M@uJkut[`JsYolmXOPSbyOLLpkASg<KKaqNhyZ=WuPm`IRvuNhYWvyUKxmRuPxLrJpurpNGUk>=yZ`kHPvfdwYTrdpYoTvKuKp@XDmksmRyQKf\\tMhjBUSeMSoDYtUPLxmViUsUV[xUKTutystUq;awYUYgPvI]QEUKhLXIPwWqt=DypaJHpxqpYEAUDmSNePuDNCYTAEURxJxuq\\io[uYZHYyxM`UOF\\vXirlYJoiLx<St`QY=OYxSgTwY<vVdtyoqvqstwwwycvA[O?u\\aseNx^g\\WNoL^\\jAsRNiT>qi_vjFy[GdOobrnZkXrPaj]nfoWvjhhe_d`qj>Ah<Ykl>`JGaOvfSwy:vk^xYWwRmi`QwcyWaGvWCyG]eOeYfQVgCqZmy`qp?ipf]XsPp>eTuUPXHLu<T]HmBYOgPkKTxalvc<pyHu_YXLdpiTtaLmEYucUUe]M:lSHdJNXo<MSwTrQPjgdsddQCTn:]J?<MOTxSYYJyY:<qyOadhqdpuoxxZxY[]t^oY?xFQxIYv]H\\:w`eIlXX_dOsCi^@xfbnZJIivY_tnr>vlLgunNjrFll_rThtw`tZYc`_pj`e[Fv^iaxilTXoRNdEGon@xmYoDPhUo^[wcIH^mPtfHea?sIpaOIdChm>HdwAtsg`_P]?P[Z@hkvd?XjFpgFYxtFtcHdb^xfVwYOiIvxGOfbhuxWjSNvphx[Xx;oycaobAe=?_Npb?xr<GuhpioO[gYpy@uHqpHF`@`vI@[]nvIxk_`_b?o:Gd;PmHpxxyh:?c:vfV^dKQhNnmrqotih]FdWo]_NimVnhFePhh[XyByaVi`Qhlyfh=XfihpdWwYWwZvy:>hPi_Lp\\L`gtQmZahwan^QqX`tkn]<ik`nxPYvHgg`YxA^uhoq@ap]cg[fVWbDSW\\kG?=eo_VkOHM;C^iyrwxgAXOoWs]vkkVrctAeg[SXogx[YIRyI:cuy;bHWXn=svWip]Sqmixgd_gwIqu;qycmIowr?;RQsXHOYiycHofUeHSOHkQWrMwE_TUWusSXhgBlyUWTv=xTwLv\\hy`Hv;dvMHyOIoVXqvxJePLOqmTxQtXvVQMFPpaAo^iSmxjfAo@]MEQS[lr:dR?hltDjIerRtoDyR<LprdTRdW:TxPixYhxpxY:lwYDwOAR^iTgXWw]vYpwT`v?uojaxlxru]x[yov]jQDWTAMdXOyymeaXg\\l<qWdtjMQKMyKv]p]qKxaQwdsRxKS]PcuVv`QYPotUxVMYmhPLArYhrqUOmeUyeoZUpXIlhXvoEWSMyo`PQxLG<pXuj:PmamY_ttwIlTyuOAxdXuCmY?YuN\\SFQqOpVfPuqDm<`mmAtNQU>dKiEY^\\wkxujMOpun^ML>eyrUNEloP=vvLsVHXGhvNaTkxMcIWxUYNQmI\\YyYsoUOpXNweoytsdiobxknEwx]P]mx<MSxDQtyY:DlH`J;uoWyKgpqnqlvhLIpXGqTMESSen[AuNuTHYJhqwwIwPqNaeso@TVlM\\`PkLlLIuOhoOYNtLV:INtPMttTw<rydJQYtJm[Shf]QmnG`Kvpf^xXV`iNmMHoI_dEN[c>sJg[y^\\<hbaf]Ifnyf\\TuXwrHyWNkwbcBu]d\\;uGcbRuf\\]CJkrwyUviyIuIWYusMtUQBQStBotPyHxsIayungdyeuY=DJiyCWV_AXACeXURpir`AhtUCY?HqAYGYhLGVDmTIQcbgXWmBrEU\\WD?ihGWXQQxGaTOcc_Hrq@QN`tkXUGAODEn\\hMpYs;tyfPm]hLQ\\x;eS`DKoXO=]neuL<yjLipndQrTMmUxlHxF`KOAOkppKHK<PQDLouEqKtf@nZdO[Q@qJyjTqkewbBojSvvkVcF@p]YwKOgpgc]Oh]?^giacNxcIhmWg\\gmNFdL?dShrbGwlhuZhhnxkfviEPtm@rCYZNyt__acWnrihF?fC^nV^mmwd?FoLfi@FwiWifV\\Uyec^hd>c\\WhDhv_Gy^fhnq^q`pEFq?iqUQsUYnE^ttytrfwtpbiWdTHofIk<htIhsgnbIfohVg]FdnIqbXx@?gKn^dAdNaamvbD^cbidYnnu_tUGoRI[qXd=PfZxuDO]^hfrxvdfi??eLV^qgr`ojqynAxrXG_tFgAX`n>c]Q^n`hyXqyNtjplpwrTOuKivYi]@YiDFs;YnROsgI]Hgr]^_tFjKwr>Np@a]DobcOxyEdyuwOuP[SMoGRaroewV_Xpwf_wSMUTPcI<UCy_GmqTCog`cXoKBTUC`cEQYFmYBvKgReg`We?gskWgDqE[yI:EdvkfZOiXIUbQg^iiPmCTYd_OW^MFHCHniWbUg>[ELOwF=CXOxe]DlQg?SeSAf=wSWQyNMtxggGGxj_vcicKUDievByR]YTAAWyyVmaEgwB>wReETcmg`OIHyI:sGVwU_YGAycTwwS=egwX>EvmDpTAu]IqU`O=\\mPIpY\\qNXLtmt`huq=P@QQayQg<wdul\\qwk]vMYyoDyMEWNawNDsqyvXLKjUo?twGYpKiou]Qn@Vqqvhhp?MuILY`yqS`OuHPWHr:aXgdqYqVTxPo]uxiPK`MXpt[XL@qtB\\yfQmYqWKdpUqOYmsd]xvIWQ\\q]evopMAmXRxXgdpPUk>mMCmJE\\vIxrDxt[DRGmUcIyVpN\\Dpf]rtMK^EM^ir^Y\\OWmr`yBI]xgleGcjh_ooZx_f=^^wY_fW^qi[mg`uatvXkTHmPNuogoRHvBpu\\IpP`f@_[l@j=qqsWoTguKQlhQv:?iYGlyo[yfm_Wbhgj=nalGic@DCEsQeDQx<WDFOuwchnise?C<wXsmvYowP?sbevGCxlOIHGwPmxJCcdqGLmrtidu;I>QTZKxB?S_odMofNmGXSEOQugUdkiHKggfmFWURi[Hrwi;agUGVRwCkeT]wSJsrnqXFmISmB?IxMsG]uS]oce_H]MhjGDwOINOY\\;IV[XbuBjIwwUhNagSSdjAycOThyhaQCnQfhmGrWhE_SVCEbEiTyhq_hcYtk_IByI:OdZwX<GSB]tVoVfEFZsg>kCqAX^CtocCUcBS=YGwckeBjSXEWFqexhgTqWu[qX?cR\\IFS=UuMTRcV^=GYAId;heSDCSGqmttGE_mYhOUeQF`IGeCuakFFebCCrS[gIUiyeRGsW=aEBcDsaFoICxixV]frKWq_FlQg?MvByEX;yVwfrmwpsVxCCRaykeriWgmOwB]G]_vBEymygT=HpGUhKdj]c<_EqiXaYcqgDniYdyI:aGrqxXagRctD;wpQw:cXWyK\\]UPDJOPkhXvFtT;aYu`xB<J:mq[qUjtNA\\YVyKwlsEyXbaTU<US\\pEmXSxY:xV_=s]<ld\\VdPVF@^:NyNQvs>cYVq=cbcXtMeVQHh?gDoI^QSiEDK]YSmsMieV=WHQYFySacDhcwOmyrqvTgErgxhohlQf^[TvsF:uWIOeimxYkGhoYEqSd?SIKyFsrFAGUqFv;SWMGLkck?yFoTfAHC_gDkvZCuyLQddMTEJgmXJ<jH<rBmrexS>ITFhqbqMpyuEdmaaWdLwJMPqEUTylQtN<Ise<yhQtihYqIUJyVu=R[Ij<Yx;eofNvY>oxipUibsHbpFiR>o@g\\__\\YfqgA^yAZxPwTywxIsr`umwtwDmIEeyExeIQutimxGkB=osw?wg;XkGfySSYWdWKyg_FFqc\\]H[kW[aC@Gx;[iouemsceuYKOuPWWRYFUYflWv\\sDxyC[UYmyu\\_y>iEH]SeqTo?xkIwpID]aCA[YYygxeiSGXmkXxawL_WCCiu?yfesP]xXkemIvwKdGGWYMcrOgPsSbgVncfdaYi]v^[cOgFCmCsghucG?ITTcHVyxxUCSotBUdWEU>WIO;iOGhgysWMU_Ac[yI:mxTMsKgV[Wf\\eU?STW]h[yWvui?yr;whhGrmgIGmHVyx]uwVOy?UYnIeBog;edyGx`Qu>kyXgX^wY:YxOuywGyViI=Qx?QH]_V;kSPYDg]sVKxuoVSOhs]cZoc]eyd_bLACQWEtoc@kDPMsJ_tvocfEVUmR?CWNATg_UxuXuatt=eYgHayI:;RuWYTKhnYENmitwCvCgoKxxoDVySoWvaUfOdOEHm_qkomW]Eyl]UWEYC=NFukTemnYihxx`?Zaqncop_pc\\PhIfugQeE@\\\\OZQxs`Put@`VGkRyrONdD_o\\xmL?^fA`Uv]BHooQpCvprv]n_xtatypfX@`S^n:N\\jF[`XgZxjq`[Afuwnao@a`hmm^ckh@sTkGtAQEp=tjWgIGVaOcUgdJ[uMcR^EbH?fUIrcAuOWWb_DICxCKYKaehUunad]KiuIG\\]DkWD]gyWMStAi[QFTwxIodh]RZmbNmS?qfD_CHofIKttOvniW^CWOeEq=rkoEuAwNohKIY_QvjoWGsbXarTydYYrwUTRKxeUclGhectRewUQuSYc;mUxYdTGx\\MEoiBBWvHiDEettqgauVLkCr?En?gl?DV_iUsDwQGl;W?wb[IG>YIH?TLcyDOv_SyF;wOeEjGsh_H]gEIMdLauWoU^QuQQIB<JrTWepsuUxy=JvxY:Hmg>v>Ap=nrJbMuvwGwy;rXoi`CybsYTwb_QSygxaSxfsSXqR[_T^QbFoSycIUOFoABIoRdcSSqRZ=XtaT\\GWrEcNGChORvUw;GVd_yEQeE_WGawe]yKyVceDvQYUwvryHyOe:EhZAvpOVQmbgUTBiIGKWGmSliiAgc=UF@EDwkWpcd[EEwKhcMycCIWWi@SgqGWpmx[uhUye@CG[=xVkw=]fx_xjywS]Tkiv]wdpCfTCXnEH@IwRACB_ddiBH]t^UiQevm;BTyBFoIooyooqYpwYDWIUyP=J]\\S<mWr@JLUWvEsAXy`@QkeWtxvall`Xoe<mcuyYXwnqOAHsA`ss\\uxMwFTLRIlFLwE`xxilKYJpeQXDUtaQyPoy=jYpSVhNEqr^ytA`p?AqsAmQuT<XYstVaHjULJwUQMQLlAS@YnV@NnikD`oeuvHELpamTxpwumiiyMIYPaLbIqAQmpIqWAKAQrNhYYLNpUNcMu`qULulhavVdTpmne@m^]WriPchJ>TsFlnvlw\\TPhUTnyRNUxLQVbetTmwTQ_jNtPgpGXmXngMaypQotxkvyiEgxc`pqO\\vfcYaZTVkLwy:vksqqopok>wH`g[PeloeY_vLWtxaxyPer@wV>fNQ]>g_vNt\\hxHYg<?eF^bFVjX`jXfpQyZhYnEaoYXa`WbUYcCfuQ^syhu_hkqqkNGoWfbbWvoXemHpCWvKPs:`\\lWgD>yrGcYGoSajAid_h^WFt=PaWhjQqjXOg_YqsApepiOfejY^\\giGVcaPZgnjwgc@o[GwnPvgUXdDPlLhuPH`@G_Rqx]h\\VAi=Ag?YaNNf:H`irr_yYoityI:ShoYg[irGUTPivbuiGyexOAxv<YRwIoeLkUpmFxLtXR\\eXE@xOPJwpTttsOlO`xs<IQvXtU\\tJAubiWiAV@`LFloRExUyLIhkp\\M_`VaIMcauXtj;tmJ]KoYjTPUkaUu=NBIJ;ip\\pLQXpLxXfdrohsohTlLNh@mThQe@nm@T<uoLAQhTuDqVxeLwTPWyTElcbyZNVhV_]fOtrnkIgqWFx=Pmy`nRniTQnx_dXhxNqucQewGqUwlJW\\eAd[XhCwcNPvg`u?IhVVk;a[GfhxP^qXeWp^U>px>fZtseuOgwTUgo;WUgiewWO_BXitamys?tn?TSQGM;ITQW>mxmCSMSSVaF@Yi\\EVNkFr?rM[GdOekig@WB<ASfUXWit?gi`WW^cbFMTsQdAQs_]ClySZIVrMTfyghyeDMEgQtOgsEYER?FjkdpsBssYmQIPuVD[uKksbcrG]Uc;e;Sfncdw[v\\Mfo?SrABAWUIOcKstncY`YwbMuWSCVMWjgUGgup=TRUWKIEEOVv=VimvMOun]I;?sj=tgcg\\;DFGDuwrPwX`;IvudEWICEC\\uThecXmRqWYRQyoyUTcXQcbRkbMCXNUYPeURAwTQVt]RHIuVcxxeho[iy?wgMcU=slkGl;SvOtoUCG]V_Qtaoe^GY<UcUwR<ivT=WjGieKiXmEoeG?Cv]uxeYCwEWR[vjAUXscQSeOSYliXGEwbAh?=wT]ucKxhIEJwdGYyaODnqIMaFx_w@QeWqxU=BpcBWGXHOWfoSjAiNACjURDCrNGcs]RCktd[Ij;iowx\\CffmW`aG]]UxeTA_u;UdVGID[VfGelOG]GIgcGpWuR[xusGsKEo;eD_wweI?Egd]WV_VMgcSwB`sc]kvdgx_yI:GEJQf<[VIUTRmuOqhggv_meywBwyVtArZqs=GXheR@UW`OymmbJIWkaBdiVPkg_uS^Kfr_dHWVgiFTUXESh^CuaGxfirmWH=Uy]UGTodL]gEaxtsvnUVHIcWaeOYgM]UNIw@abL?dlATVafNGdyqt:Sf\\yHg[WgcHW_Vukrvms@IfP?xZQThgVWWVqMX@Ci@UhnMUqornGXKIh^OgheCueuLkDAKHRgERsGRORcuudUdWwgP=F?uDoeuIaDLoXWCyNMH@YvHAEq;TGwV[kVrivTiU?aSO_RouF@Ie[auwgdiCE=wTPCT<IxwUVTID@MfOkskyCmcXLSbBgdWuH^mcBgGuUcbaib]V<=ugyUGcenQuJqF@OWDwxYAsH_D=OF\\kIqGrVmdtOgmkB]]fPwgLuHqcfV;tVMhdid@Ceg_v=?SWsuaqWtCTbiUm]bnChk[cweU?]hXubKgXGqjf]sxdl?pY]hOk]T[XVCDYNyJoqQoij?gvjo[Oa[shs:Oqmo]_?liaw:Go_amnXlcvd[hcmYdHpq\\?cUPviOgSYpr_wnyanxy:^]E`jXfyen`uv\\lAmU>lINtUxhM^_kFrV^u`FhXQqbVtLXjsFxrNkoOgchp\\X`hGlYXsLobCnvnXf<`^K_kVP[eh]vho\\VoupaufdCh]KPsK@shPkn^u]nflOveQ_OIaP`r[QjnQvfPgdnnTI]lv`P?iM``UInvVujWyj?aeHoH>gn`kjitOO_dxg[`ZuIlLah^Io`ynPhdZ_^;QudW`c?a:^`^YjNQ[l@p;p]@y]gvfDv_MPl@gtkXcUYiTOeKV^;vj=fhbWrwOZ;pv<?eIHfSGsaPc_we[Nk<PiXfl\\?e>gb]QhEfjsYiFptlfkDWcAGnQI]JiruNsIVmByqhNp`Y`W^nE?[@y`Mfs_Wee`eYw\\fncKIs@ic?O[G_`XIdwwnNq[oXo?Np:aj;^moa?UGDODy_xSWcDeWCyRSWdGWYKoEb;rp[u;aUkgtK=H=gsgih`_HSGdNIwl;bxCUoirn[yL=DHydRGg\\cVHEWmuB@[GxeH<qiHOWvYSjKGj;W<?EIyUW=TdIsosBkAufSVkwFe[uM=YPGbq[YV[VY]iLgwW_sYSw_;eweb=eRsAgSOggObAciOCgFQxvUENYxBauOSUesWcQhkodKQYmQtUQE=sr[_ukyWxesSASHyxEmIyQebeV?UTXsFPSGQ]g>iHKMTdSy]Sd[uChgEUAYImGeeDpkb?EvQIrBGcewTkEslGVPuHJAY^yI:ihdyGRqfywu`_yy;rtgxF=wGwCSeEnGXnEvAIUGaUJecV;fRehFIbWecPqIOkGhSVxkFOAB[wT;?DEIsy;raaWxobVMEuKtvWS\\AbgUbAOxdwuvybo[YfYd^gBSUFVEefcG_EYQctbsRwLlE@UJDJfhnwhTclwgLMBmtnDQDxLapJcTmuhR[avCpY^dtHemBQSjmvnEPRDYMATgdMQUT[eXu=u@TWumRlVe:ndwfuMIcefsmnlqox_XeunvgA\\vibIoZTHd=XsY>mOq]@inAwwmxgh@d[x]Vi_B_prQkhIm_Q?iTxyI:wVxoisuvfYEPkRY_CDuyoeE^yrwEfWKWpmdAcCcCiuGHyuxG=gxyI:eitsxioWnGgEatE;hkqc`QggaSnkXYity;re[dq;to]bdEGjuTi_S=UDLiw@AcLaB]OSDQTbId<kEXAxeIwydTTEpdMjRPrgLPF\\kI@MOykfYuXtTbxY:<vNyqSylYXxRym[dskqR?@Uelntexk<qd_`[qhIGicxcnWq^Wl^WfrAb:ao[Qq[ajjWl=htBhwQw\\GO_mWamfiQg\\h_`Bwtd_rRPyP?l=YgGy`mompHfrOxL_ebhfgxnPHn]fhvnxovfWWaXoujFcd^nXxiIinoFe;^Z[xZwqldxhPwovfs\\^sCqmRiseOeU`msGdGajiP]oFa^Qd_VnuhjBqx^yd=Wad@gi`qbvfr>ZIFhSG`cowRV`WoZ;qssf\\dowUVo>hbLF^E>t^Y\\JGoCQd_Qwc_a>o]]NunQ`h?h\\_^Hxjrfouvgg>v<G]QHjTYoywfVw[oakpwxdQ_fId<E[=b[uSjIw[GWtQWFAudGHichbQd:agLOwfIeaCi\\YFQ;uo;hEqbT;RVQyMed<_e^Sry;BgKbdaRTiiFOdmawESxV_i`eUtmwd=CRQekCVxCG[iW_;C_OTR?dqqG\\QwjmDVysWORDeICoVmoSYoXwmv[ch@YTfsxWsvAKGeebDMXPacfkDiCScSXrKwQuHQuTlyR`WcsIm;<rOxng<l`lJZLXLmQjeYGQt<drOUrHaSFMqZax_@qmLLcaSEXXqtX\\AKd\\x`IwlIM=EMHipwMNT]XdXNnxxKup]uR]hPfDMVIV\\amH\\UO=snIyKiTXERjtJZlkdyWDmKXhoaXuD@W]tLRPxmtKOdtNQOaqM``vdHJSmr:]x`Pl:]QQEWBxiuHl:H]wN_OirFXdphvOXniGhwib>OmVWu;X`iAZ^ighWgRFtNx^r_wn_t@qbwh^TVkXieEOymuV_RWKCa]ytmDfoWKKs_QX;IfJMuvmXqcS[SHmmVwGbbqY?YXX=hxOVm[XdWXsgBWATAATpOsVUVm]Ceos]_FDAxXaVPoX[UYoAXDiuHMVx?DvErCkhCusSACqob^UsHSbeiy@OfvaS^ed@eCAav^acaYC=;WokSP_guagCMYbUTpCEMgSYQuGWdDGS`ubFaEaWVIOEkgxGaeL_HEOwWouVWdgegvsBgOXPYhYeFWMiLeCAmV]sUKmCnUVGowCmX@sc?yDdUHC[V<[BZOXVYi\\aFUIub_SyGDT]sSEFWys]kyoQtOgtSCrPQfNWfsqtBACRLsh=mypty=JwlTh\\Oh`r?HVBqMWdREuvMXUepJ=UpV`mDpV]hrMUMw\\K`morLKKesdqjVMJMAQGUTPikM]mpeO\\atjEtiHV?YtXLRSTMnaskuqxyY:DvHeQHxxF]p^EvkpKD@xL\\QYMRUYyBUN:DSS@qnIRexY:Tuk\\ryHTg@xRQwY=fAGuhvl?HlYVw?A_jpqx?sA>oZntHg`XxltfdFO[qIqY?nEYuCxwhV^HfvW@mporevcVW_aYrT>p_V\\XxiIUO?Vj;w^SH_]WV[H^Mu_grfUxFKtCqhhOGOCSt_YwaKUhjBpxPXT[lu>hucPrytUZptHEQtxwDlT\\pP>QPYyUluqTasHLSOexqAmLtn]@UKinOXRuxpY`kVPvUTNqlKKURQDS\\emP=KfuloaRfPYHTOEeW?eWfIVCmVfXucTORhPMejb]nset^unpDsfIRmqXpQNmtW]`ttLMoTNheSXmTbDsMUjSuS_EqlMRvMJmAU\\EotplkHu;dRAqKYuQLuyI@jqdwE\\M:TKDhwuaoQTplxmNtpN@sfdNAmKaQv=mncpj@UVv\\ukaxfLwKam\\ILptMQPS?DSCioC]PS`yEDw;mrBIN_AWadXX=Tk<nXPjPPuOEnwaw_ymN]tMIUD]Vi`mvpm@MonqNLIwdakbMVcmRlUtQUkihRbXU:`QRAu]YTThx`mo_uppptk=K]yWvXyTDspxx=<yNQTEXOSxqP=qK=WetpDXxKYP`>fcpqbgrpPb^QsXacVOlsoaOxnFNbrftA>bbNjPAaQ>[snwIOiUh\\OqbTpnfxkqV\\Bpl\\^iFqfMqbMyc;Yn@fps^gmFg]hgynZFP]<nrW>vyAZGwmxQqyXxgxmEFhngtIXiIppVyiQydxqfo`ql>vW?`h@_vyb_x_>xiExaQi^m?]hXm?ybnGsVovw>_Y`rJ>yHWm<qp;YcFAuSf\\YPvCOmG?bF`kDrUKwMSuhAUtetsmvcuuucXomsDkT_ybXAIeyblsW[ug@owy;r>YvGOtKwtXih>kSHuRKge?iX<MGTwwL]RhEDHUeRGUgmwZIWTaVL?CMshBsvoutdot`uxBSuKEsKYUc]UuKWQqDkgHpqh]_SKScHUHq[D@edvUrHEGbkcgWySoG@EivshVUrWitSSiygb<Wd=OxrSWRqulkIoai_QxAOuq]YM_y\\kEUAWIIRm?TQ?tOWekUdceWCggagi\\;f[uRYOSaEWpiG`MHfgcM[eTgGDKgsGegGtigYpuSUAGcoclarvotkmIOoeQYVVMg>aD<Avdor^cDnWEWeh>]sOYvx?xasgK;VWkt]qDGcs[_dguCUgxfAsO]fj?c_GEr=bPMHbwtgkBNkimAhoeFsOxw]dJ_ITWW@SDNKVvMiNKigygTeXUAykqbfwU_ARK?Cm=UFuFrAYUceakbfquLQv\\QHhSxTOBYqGhGi^uguisTcBiuTVGitwGNyCEQc\\[HvMuyDnXuNvuyDqvihNuiu^YtYDybaRmUUXPLt<UoTpNtJE@QAqqnxOcloxHW;pn_im<@xu=xxhpSUwLpu=IfHinLpg=F\\NQ[CY`?andwlCHh`WpxPxJwm[axcH^ka`\\ptbwn:`chIc<Oigfdfq^UHaAqfKXssh^IQdtovtxmC>poXtiwwygk@nZx_lwi]gDGQTgmWgeDDEG]CXWIcn_GgufMQsHqu\\QD`mHryfheI?gWDQw`wuAsWT;whcheAI]SSX=CZIXGYXtay`yf>AdIgS`GSq=fpuVYMGegVT=USmb\\eh=WtMWSTwy?iwFQUF]wx]FYSyMOeEQCTYut?XIUsCyGMeCoIISCu]owH?IdyTmus]GVEAe^AtsSxpmwcOi@gYaceLsxpsw]CB[ExZ_ygihp=whiHGuWK=s?gfnwuuyv^WVYwC_MxOUcToE]gfxEUcsINOGqOxhmDlUIQkV^CWhaY@AtfgCLeYGugIuwTeucMT=eXhMEOyVCITqARgaEZ_Gf=CfIDMgEcQhK=iUacCGviGVXOwW_uKmgGmt@YtmoFZOu?uhIihGIrxGubgfrmElaCM_yRqykcS:gHtoVZawnUUPWfNMdl[rT?EqEtUuCmsx=]cjGWYQi\\ibGyI:kXtSEC=eFMdsWBHQwgoBiidFmdEGYJgr<yfXsrNIsNQW`YdwSFcWR=mgyeelYX<[f?Cb[wR_]hpOeGoH]_Yiqg^gd>KbB]GZII;AyC_XhGyTIRd;du?FqmRZqbhabqyVTkEnCgacDhCBROVpchIUXGcFF=wOMsoOvZKdfeWTCuNoBsYW@SGQAsXUg=EY]yvCSc^wUcuu>kUPYSCIsl_DJCcVOEoGVp;VFGhluXLISekT\\UUccg?YxCcVNYhAsWoQulyufWH?wCrIT?Cg_IfAEy\\[iuggj]c_AS?Mdr[UsgEaWVgaENaE@iw<[VOaEOsyoSCPiCmqEngHdOdwKcLyDmySDAip;gSyeuyflMFcqVm=EheicMVCeYGqx@CsVMhTMdUYhwCvrsRomFB_rHasGoueYUhIgNuX:QGe=B;IExQGOKXTcFSQvlcvEodaYEiQfpCGTQDq=Clqh\\qVluiuWI:UypminoW?mVQef`EE:]ut_DhKBjYUtOYV_df?vsSCcAI]_fT=s<Ie[yI:wgNaF^myLYXEUGc[e??dumYC;fmyhm?WacUtUCssflSDc[eaeiP?inqD[kb_;tKSUOYdfwd[;hJuutwVVqViWfpaCbSWscuoWub]rYahBqcVmxssfOmw:ySWyc?KGEcgvCvlOsFMTxAEwQgCssYQhCsYMQeLWR>aWH]UOedPWGLIUymiycEwwBvwyQuiT?rYahCsYmKTfyI:ax>mioIHF_x=iYbyI:wwYoIoaUyKyYYyawYgsskAfy=Wd?b=[yimIyMCqes@WhYcyI[VcAxYax>ki<_tdyI:sCsyr]yI:ot^]b]WxIOcEUCJGFwCfyct`ydymekwu[yI:YgKkxiswjwy:GDlYHycGygx\\;VXUuy;BIIBrUTB=dqIrAMvcmEToCLAGv?C_AsYSr\\yI:ueR;fBOsZOGLyw]yaF`bu?qviZIOpkGtCPypFgyviWAeIhhGQ]Bxj^wf^xjkQevfpgQ^Yno??cSwqC`\\wydNngXGxbNyLF_Va`RV^kwxRoiFF_>aeHvwIpocwiooulnaGxy:ntZ`_wGmQAxGA^jPr^w]sGbtinZFfXa`tq[dFfKxxhw[]Qmpg^vvw@OyJxiWXZevmffxFxk]xiG@]BxxkgXcXkqrAcC:qIZIdvGW^krx]Hfoi@iE>exrWyMYFm_dradqiCyUfEKx]GTReIQyI:OCIEWIur=ix]MIL?U?=uw;yA;vI_H`CDK_I]ywJ_D<EuQow=sI;IYx_d_efY]yI[YBofR?SpmBtkyy;RXMEYYgu_wG[xniy:uVn=gxSRNKv][ifui=KU=GBUmVH=Booe\\UtusqYxx:DO<@ouwrNI\\vIouiffab=PwIvy:ne:Hp@^v]nvFxi:qcbVuK>wWoirh`e>Zynt=wk`hb`>uIQbEixSNn[Ifdpo]H[jnaSyrbAgev^QGkUwui?yM_q\\pi]Yox?anfjWFa=i_=>]vOnj_dcpxsnynGic_ylv_vA[Z_tUXurAp=auKWymhtBvy:^hyAZGPZ]>`rxvcW^OIiZXaHP`k?wd?bBHaCo`YHhIhvI_rYixJii=GdjGp;ffyNio^yH>_UeuQXw=XdWDnwEX]GwCcNSE]_Y@IFoARK;hTQWZ_iLKBwux][hn]FByBI;s]stRmiNmYHqIeIVvIxvAwlefHIrQIG?=rAWy][ifwIB]XsMWsCuAGD;cdaAEWksUKWmmrM?y]wYxCCNABIiVI;rU=g;afFIS;kvXor^CuK[VPwubcSsURnGs;kHayeHWc?=s=uIsAtuSvYOs=cfXAwE[xsmIoEYSwIDAv==UyEDFmYYobGyTb?Gr[cDIuDMsNWYFsYdkH_cYWyEx[rIWPlXpK=MwqTItNwdmUHxAYx\\<vnlJYlY:piN^u@Oiex[[Ho>NhahcYyjyAZTOjly;aey[Ym;sBkx[CGhgYScSXCTyghOoi@afV]FmKdYmF?wUuowdYrkcsj=TZGcMqvkaHGEvpkiZyvwcFO=FNuUpObyyRrYd:AdnEeICxrmIn_C==wx]xe;ILAW>oEFsY]YdgWTvASYiByMCh]tw?wBKyMeib?iBkx[CwaiinyI:EfAgdX_sAkI>MgGCxX[gx;FT]SbMIDsYJcBQSsKCyiiY<oyVUDDITOyS_STBycjMxy;RYObWmxoIW`YvR]fM=iRgw;ugEyhTsFgyGkacy_yZMDhwRfIWr]FyMGQgDB;xb?rcuyqkEloYGqbRuCqweKQV[KFFKCjMGykwxQTxMGbEdaWv[]ykDtjEP@dJRdly@lw=px]JT\\KltykuQdpo<`S=PJFPkNTnH@nIPRM`l<]Rr]LZG`@?_E^]wasxof_PatasYasQYc^Hw@^uSFsAi\\HiuPxkJ?qjOaDgywXw;g`sqlYQsSnoROsTYptHcw@koHyq^ubnsk?eFQ_>QpvPtQVhCAoB@sbXl`yhhN_DarnojNPt;PdJ_sOWkEGsg_]Nx^cOwdNZsNnTPfbOldygn`cY?]GIbH_n?y\\KNgDawSQlDqafGhJwcm^uDgfKHk`gx`PdOWhu>effj^Pnf@e;qxU@u[gaSnjcWZn^wZ_t`QpUI\\lIfY^rrgsgGbWvtpi\\Ny`hcdYglchaOC`mDP=tSIBlkrVOvdQEEggqkB^OxkiYeEV=qTeSDPkuPYTKWVQOTWKH]uB_KeVstQke]QT\\QRumBHuSFMiPidFyI:EEX?uECS=SHbauugx^ET`=gnGcikWOStssrRec:IUGUGlAsoGCX]G^mxAoTUGYgquXYr^SC`stREyrecK?yRuCkavGECpsvnQcGmhhAT^=RHecHar@QWBohl_E<GwKiYTuYMCUpEUygTweC@=yWYVU?X=WwqwHeaW>UyN[hH_XiGHgAsSqVl_y\\iS_uipQfAyXcst:OFNOfXOVHGVNmxOUyeEf_qFEgclEDkmi>MDtwgZoFRaTMgscmc;EVBaSIifpovOeRXUIpcU@KgPGs;eVGsTj?eiMSFaDucBUIGmsBckSc;Bo=XIMeWSrNGy?Mc;UBHctpasKifmKcsiRDaWr_sYcgC]Dy[tgeRUIHmwUgYB[?ypOwU=U[OsOaydafK]HmKyjCRFSgdqS\\KElcvV_TjAsJ[S_omqdOq@M_LTjUwUhLsLvCewGTsrtJrmws]WduMndSnanYdJWdJ>=rn@m]enLELCqKXTtndw[XyadNk@L^IX@EwrUWP]wMqSr<txAWapx@mx\\llODLW]S_tTStjV\\tPpxD@pePp_AMZQkQmuSmvghm]dV=@Q?mjKlqrtTRTJa@jTdUEURUDMqpPC`LYEpKqm:Qv\\LuAPYjty?ToTmk]ULlujZlYODtWXUxIu=ftD_wh>l[@c^yvxfwD@hVWhRxy:fmbv[YPq=HxO>_WqkDoiOHcl^]JxwO`l`?BuYoyqoIo_]TJ`RfHXg]s>tYsuYD@tAmYtykH]P@iWB<ULxsR`yJUmmxxRlyYdYtmxYmytykHelEyVwyWeqS^]PCQM`pqkayyPYoEmNySXyqqySyqUflr_MUyMyyxWkdSxDWy\\ijI^QOhBFt]nysy]jy]xiqwFdmnymxy:f]aHZqFPUVICtbOwSwi:KCJCTNaeyaGwcshuSCyR`MwImea?uAiYkEr[kun_Yk]CPGuoUiDyI:yHO?eUYxaAg\\_tNow==X]kr]wqByY:Djy=jo=o:Tur\\wIIVT`SBmJSxj\\aLZhRUAYveJv<VHtn_aYbMjWXRvHg_pZmntxvaSQfdNfUoyuGotyy:fxcQbBQiBVmlQn[qfQO^inwjxy:Fj=Nc<VZqauxw]wQiRXnqypAfyJyi[pnK@]y^`fwneqy\\>jj@tI?xVqisgn<vcRWmdybyfmUNfwF]A@vGv_N@q\\idvIbN>ZLQlqwpM_xANyMwcQ`yKOpYxxcPvPnyGvnbQrWXyoa]iyryP^:P^UI]xq`YFdT`aoha^ve>QfYhqm@sPOygH]=Ws@wa@N^;`[K>cxvwynwjhnFYsqypIxoyA:uF\\YvwihvcCrCWYMHZsYk=Rh]bVwev=CyycjSFkITmmrAGTd?vlihTyGsMucWeYkegyfREt?uB\\?VKiXVyDdyI:OBXyHy_sZSyPsYT=xRus<YCoCeNmUP=YQYdg]EyKQo@LC@jsMVLeqkmyNXR_qmb@RuypraTX`uC<SPqm]]ybUxY@yjxUiaKKExFPxJaxMxmpEjNlmFAMZMjyDusDOCXrqMn=hyMMKplRHYROxQgykj=N^IV^lSq@PpapuXxqElIYT=TtgyLr=ur`XByQ_`p]AY[AJu]VKAXkDMKpmHuMXEWO=uy=jedlxYmk`ycUU\\qwfuqKGiSGvSVebIhvAwJ^jBwZIQ]KXwIPwcbhycjOXYWVKMdfKdm;TSiI?mu]wFVyxuSBnAbG=St;CyGTDss_OI?yBVaeN?r[SGXyCusvYUV:?uC=S`YDhwIg;hSMyOMwU=Gcyx^aiKIvqkRGwSpYb:EtUUuqAYJitAoE>IdeycjefjCHCCdXQSDoiscfDYGqiv;KYKqswIdZWwiAd`yTE]Ckkvy;RX]eM;IBaR>siFwuKyqQqNVxkoAl]=WkqSlIkcipxpJNHkM\\KrxMHDO;plRysqyloAn@ynhAsytKOpopmwJdy:aNFyVf@YyiXk<rFLX^ambxsJqv<PtipuW]x[mynhYkpmhuQJeKvPj]`vY@XC]LVmX[hodMKy]kYPtIduX@o=AWOqPSuK[HTyUNBuTYlYVdYl@OrPU>ER]aMAdvxTWHYmy=J@<vxyNvEWkmLtQQYLVGlMV]Vk=NY<tb=q@DUIAuKpQ:xM_eSutRITkIDn]HyM]jSXiYFna`jWxZUFxfAgKn[]faEvkPikCPu;?yD@lmxy:>\\Iit?o^_y^R@lwQ`bFZ<X^vi^IFt?Xag?rcyqmisinwIadiGrbH[XniPgftykjAn]w`BqalYjxQxDx`yOi^va;x]PqnUvjEFhra]KyjIqZmfx?IZcxZhykN?fwWmn>_I@o`we:id<PpqGjIWy]`ycfnQ?y[HfrymeAbFvsqqgIVVydqwb^GdyIxAghZ]wYaXJmi@]DACuYSGjiyN;T<gwMmirIFtIBwcS[;txgHuwC[OvQMsHKDhEGPCIAAw]=Xk=bR?cBwytYwrofGIXyGyA[yAwQfDlkuUmmyspnx]XlYvvQtEDjIdlS\\VBuQdDTXLqtxVdeRBAUy]lCEy\\Ulclu[<YMhR?EVphSJmqwYJ=lRhtJ`yQ:`pyPqA]u[uy<xY:TwKAkyTuYHLZTvCYlrUnAPwNhJwLvIAsD\\LZaxSxRZyroun^YVxmqIYVTlO?HYfXvJPsgmkRymPEqu]jKpsDeq;poHavclK?YTIYNc]ufETDmODlPEYL?UVKeOfhx;OnfX]sNrhA_k?dJFb;YwS_`PqvCpnnNkgoaJhxc@_`G_BvnK_cG_[@Aggqc?I^N>[_?]_``\\?jMf\\o^n@QudIaA`dZOg]ntLPmEf]hgnygndQnXIg^OuKqk?_feO]ThuNpjVig<p_=ptl@gexveOfN^gowZO?pxPt[opv`_ip\\mnkAh\\AwdPibNI\\TYehVsn?]tqtg^\\mguRGaJOd=hc_hsC_fD@uchd;QoZYtdPer`epHZ?AZNG_[FwTqnLg[`gtE`ct_xaXvD@gcqcOV^VfZDOoGnbmNt^PeQW\\W^p;nbOia:gniycOOn\\IqENe@_ywQtdwZkHfqqcdqqcWsDGvmG^g`vYVrGOxUa]gxgbNdtN[v>mUQoDHnmA]D_kIfucPvpHiUgv=wkMWeE^[doiZIoN_[jG`DOv`Q^oXdiWpZGyNxvkiou^tMFjsw\\dnbVNiTVnF`haX^tPj=^]XNn\\`vGh^d_aKxc]>p`@pw>xd^gN?dPA^<vcd_o`__j>[=nuPPw:WkHpq\\YpTpdx>qqi`KQcDvt[Gano_iyviY\\MWbrGtrffJXiFDNwstkyvWT=YxquyD?GlWHuixXUIrSwYGcMWt;ot`qiNuDhmyw]B]cIeUtsqYuODAoyiIYK]fHovE=s_qB_yfk=VuyrvOWJuwWybksV@aelyfmEVbSShayYYxIIyLgvy;bayTcedqwv[ayy;rtatZIswYtsyI:ghd]rRauYYXBmiNEyy;rsiFtOEhEuyhPrQMKlxX\\wc@KVpwAQY[tsXYNqYroAOMmwxTXxeT\\]okLVQyM?LPS=N_YJNxmSlN_IkuyqrexGMLt\\sIutnDmmuYgXlkyY:dxMEQpPM\\`qliKyeyy=joMoLIppmUyLOK@UX\\jaIwD\\l]xX?@spyY:hXM]SPMN:pKL@Qvyq<]lMtywxs]MMuAOiEKYLs`AuuUoIptEhj=tvaDkKqqa\\Y?=oPuWVhWhEP:Auy=jxXRxUjEivi@xByQHdRj@l[tW@pqSpnJHmsIlQ=wy=jtaTkYMyUkcLYoTqM@OxyQa=RKhGGs;shSYVEYdA?ey;c\\avXYBiQwy;b:]dKEYIAuQ;X^;D\\sicyBW=gx[sc?Urqeiyc@iElqEFsYT?DbMyBABwyI:Ob:CHUSiIkyNwiv_hUwTvYBdkSd;v^kiSaTuyVvcRcCuuOrgwwI?p]EPHLnhQo]IxIYXZ<jITSkxUbPNXnwFxnwywkYn^wf]@ptQk?Ffkv_qItAIq@>l@prTgZtYvNvwevao_txa`fglsFZA@qANyMG]RNxI@d:YyJ>glYvynhKwY?B@MGIIHtCxGqijSVdqYnwIKOV;?uIEsx=uiuHGmW_osf=fuMupAeyayEchSwF;AfuKD<oyy;R]ir<[buIru?sAAxAOH]CTqcte[hsEGUWfA=Sx?E^KrmiyoeIbAe:=byWGNYRyaiyyeH]e>yI:_r;iikMEYSWyixNoyAgH^GxtWhowrryI:UGJGfYSIvKHOyI:_wYGX]KfYSIZqEFEXLugxarhmh[KelyBikvwgdB;Vfyb^yI:Axvue=MuGOt[qB`qe@iFSuuWefxUGIMbXSSZIfcYItKEhkDZ[wImE?wI_?uBchHui=OeRkRYKiKuSZyblqF\\Yv@mdYsFngb@cr=mGFyRcWSCYY\\IBrMEYcwIgUJciUKcvyDx[uKqiC;F@g]VVix_mKOpm^yFwQofYCeMEw[gx^weX?wGwGFyeL;RRCV>_ihyrkcbbMsOeV=yI:=rc?yFyQP\\VYXVTlPaDwDdY?uLE`kXeyRXjx=x@TLdPy@yQ@dRFajaDjd@qnysr=tOyY:LK:pyEliVoh[^rAWpi^V;D:sy^UewmC?_yBWI]yw]kYnggFkcWyROyI:ObEQS<MvMeE^uUJCgDAxuqdyAD?YyDqieIVv\\L?QOlIjy=j:TXFAKy\\XIQoEAYJMtmLTVyY:\\qyPR_dobXySyY:DJDpWjQY\\xMFMt;lJLDYQqty=J;Pt><mwiuy=j;dsutxaMOJhyT\\LfHyumSyLKqUKFdoZXyvyY:\\QmHSvxXCtYHLOZ=mwIsAMvBin>yjuy[sa`hp\\[fyKYyBYrbat?VkmP`wqbyglDGdApuq@]pAs`tasXSgYmiRACv@oW<kywKhycU>=suqry;rqcCUKvy;R>yb[MEYcOu>y<H_:hjUFo;xi;fc<y[wX\\i>ty=GcyirQ=Xt=hEIbJyI:=Vm;SBqX>wyCyR_qr>cwb]I;cDcUHyOtMeXKGsrwHGyc[MSqOFlSVKuYp[ry;BjMWjGUAQbYYry;roIgSwSvYVjUfCACw=ExAFJktI_x;[tkOYhGg^ItqUvYeRksCEuUaiHvIg=wSuAx=KGGsDSqsoswTkIS]D`YHPYHrOEYmwy;b_KwqstYodGmWuabYcdegBB?rEgykEiM?h]_FhsyIoYwWskyI:wvDkyYoYtgcXqxgGITkGPGuMQuZkyZOtGyVxQu@uuKyI:ot_OuYYXHIrryQeMtgaKyyY:\\Xn\\eGoot_oaNx]XfqojyVryAZQYcpp_FybvqZGHlpYlyAZWnn<Fia_q>fiC^nRYa<Yvkyy:VwM_qkPuO_yGp_=QuOwy:nqGX_;hsVQgLVB_uaAhskWyUtKMeDQXXGILkS?yTNyRv]chyI:WwmyqJek:an[<sohSFqxlmxtDw_yPu=pXAYhPs]IMYe]WxvCQjqN]FXxoQoNHy?@]lAkbV^nNnPXpf>kKyc[gc?AZpNm?GcDXgDNfS>b\\plR`j?A]_hn?U]EhCUrIcbRQV[GfNaD\\CWk?b>_f_OFRcBb_hROF;KD<IWBAS^]t:Wd;XoFDqNHJrdQd=XwTOvhXeDlGyp@lSddnKlNUeMdeRV\\TDMXllKdErSeQD\\n<lMdhPGMSt`TB<mMyLDtWMms<<J^TJOdNkDyN\\YkaSKDwLMMtYTJExCiJ?xJT<yKaTLmPITnNHmayY:doLuR^EoKQuKXlRuYd<YyLu=qM^xmHAN^`Vd=sqmOA\\JqQW`XNtqtG]S\\@UrTj]tNoXtf]RlQrDHwF\\XAXmNpp]QQxaT^HlOyR_uTF<QWXlmqNsEUwxlmeoNESjUoHtmy=jnunIxXyQSjH^DqynoqKoy\\qyoOc^OxJxkagydvsPP\\Gnr=olcIr^@cC@fpv_ZQg?aty?aIw_:P_MHqhf^NGsrvutadGY\\ZvsR`nwG_jAbSFqFXvdQgSGd>>fgGfIiou>w?GmRogIady>jc`dpNa@wid>g>wxY>jn^xC@e]AavA_r`wsVbqgkI?tyAZoQwVI\\[QhKy]FQkh@pGXu=wkBit_Qbdh\\WwitFgKP^pF[XHdAXvEGpjnajayd>bLpxa>xn>v_VZJxcNqfSXZOv\\uyYovngiXocy?GZYDWydlsf<iYJkISaDhCV<ICv[GykBNCtjKwYOXaqyiWIfsyVuIDOR`=Ypye<;uGau=swdkYe;cDyUskFyMR?[CqoCMYroyI:YwLIvI?X]cYk=CpCFuAcu[CyaeLOWaCWSwst_tRybXsbY?u^]jqyJ\\eKk<uIymZ<mYHO?UqfAQ_Itx=jYVl\\ohMXx>Ndsa_xGwM_xd?bnfjxAaBOyLvaWp^Ryk<WS;BokV_osuybaMsGwftUWw]DJkt]QxN_XKySNOVNab]ctSuynofY[TwYtxEYfGDpYhK=UwmbcoB=YcBuiryxJGDyuIsaDxAUxcDbwCF_f:usGyU]CBFqYvYsokbycDQSSKqyfeXPyEA[H?YRhWs=aH?[iBycjOXYWVKwBPySWcXyGDDkGPSTMSFrksy;biMGcWgYKEvue]ycLyE_QHlyDkaELurkEbfus=cCZWEkss[ActKcvkdvkwU=WmycDwevyuqsSN_wF]H`ueKMEqKbvMikOtxwRDiu^AhB[gxyePcv;ARs[ujaxIAIL;x]yg<uYVYVsEdjCHPKFv[te[hssF>YRhYSrKxc?yFmx_]YmIc_IwbYwrEx?Qb;EskOCAuU:GwAYsIcCSyrRuqY`Vy@tstynyVsITthrZIpAEnYTVBmjfaKnmxYQOLEy^\\X^yWAel`HXWyljYVsItBtK`YToqJRDuFTUdlx[ax^TxUHN=eY:ePbHTvQpKdX>XTkHohyOsMMhlL[dJI\\t=<WkqrRIsZQPw=RoTnkyx\\yRr\\JLMv]hykQyL=QRIruLNFqq>DlEmPVQxDxY:<jyPSIdOIurY@K?mMMeXRtQ@]l:LrM@Y\\YNbASx]xgAKyUlI@_JHkJhhjgacy`tQoY>yB>nn>]\\g]=FotIx:GkAY_IYyfh[y^vyNivvitHh@?U?treicgb@StbYiUyI:=f<UTxOi\\yEreCDkrxawRQY^Qt[uSnyI:]RK?HkyshusRIHnyI:Uv@?EuChY;BoEwPsGAqu:MtxwGtAiyERK?xjmu:QrIIY^QT\\KdyGbAkiycWUSFw_eIQwKg^cPYuIDQB<cty;B?Abt_SDCWKwhGytksiT=t>WFOYFxQbN?YVuIyqE]_h:[Rfwb]QXwotNobw]vMghamdh_SdoYeqr_sWToi\\;BTUvkPQx]Kc@SVtyvqynxQtdqKyqiMo<xrSEmy=JZap<=s`EwyDKyaP^`oatw@ynjIoyhuVly@yLayqlMtmhX?InRaJsyRMH]qvy:NeGHpa?yQyu<nnTyy:^uGpqRXn[g]Z_ym@bdobjnafasbVsp?mYnocWuJghGxrvY[yAZgHcBxy:VuY>jn^r:FcJA]IxpNbY]YDyI:iuypT]LvpAlIPoKiv[@weAY=<S]mxH<xq\\t`QjkxxGxR]usBXrhAsyTj\\ulfiq^xY:xRbUKKLVittY@J]\\ww]nyPkNAuY`UxqRFhSXaQwQTR@uATs=uYgxLl]p>`XOtYv`Ta@XeAly=JxDWExk\\eKyMUoHjrxlnTnYVnfwvrYpyAZ<^\\_waaAmvQ]QxxaOoYVyeyy:bL?Y=awy;rWyCZcC`qfymu:yI:;B?yghwyrwuRsIDCXYiw]CxN=B<wEvYWy]YLYHXIDsyekwfGWv];sy;rIoDQYGyey^_yy;rt_X@Chtycv]bhyI:Woy=jJgoPgpKvy:V\\UvotawyAZtI\\d@uhXdnXbCoctIdFOfLOkGv^n>[TWfF^dN@mGAZ@GguVdBhr_>Z@wbn^lpa\\VYdJnfNXdcgb:NaM``TNc<NvMAcaPkVOd<^_\\Ol^prc>[`p\\]fn_P^J@dZfr:NtKQk:>dNiy=iq=WcT@Zo`]FxjdviDvpGNrkVrjWgjna?FaUgadaeMO]`OuoWv_XcRGxV_a>?\\lWaD@t@Pws>bSNuXqjkHhbo_R_]M?rGQ^Hxb_`aoGoRFvIoedV`JPiLGoGA`kH`S^]Lw_pH_AocNixVfhN>[N>jkOmCFrhIggPxXh[h^wFX\\LOsKFqSnvRx[\\g[rvk@?n:vaBpyog^Zxrb``?HbfyuWx_gFr]oc@Irqyy:fml>kTguBVvpOgm>ZWv`xgd^omxyfeacCya@yat^pRAgQOxkIuc`iipfvQoCa_Af[YprWxvBy\\DvZ_Qe@_wHic\\^pkgkdQ`tOyNwtkvkqvwInrOh]FPkBGsIinC_hrAmvYosqdDq_@qcbOkfnrSaZx?iappqaaL>ZyAZdWnmYdV>ovisbNmynwY@rMIcM`sCP\\sF[Aq^aHrXo`=>yN?`NxfxI^saddxhsNZ=OyOa^E?LMSTaSf[eDOXuIS_yRaMD=EuB;CL_SYUtHQe=OW]cYk]t`cH]SgYSfIcFD[DHguAodQsYkoi`GbjoCFsYT;FbiWT=dxyVvcBbmcyerUOx`egXWuIKVc]rsAWDoIa[d?ir;kSFwUPcbYYYniVvIG;]unySZUX;CwuyFkGUZUbpuFawyDwI?wWPSilye@ic=Ew?_YkWsRuCNYFVKu<;RPaDb=EwcSXYFyCtAiYh;gDyu<]FxyM^lM`APhXMUyXng]BXrcVyKIotQd\\Y^Syj^Ig>y`kirsa[yO_ynhu?`vIb\\PvjPk[HiCGhsQkVOcyOq]Axdo`c>w]IxRVnEIfBI]qyZn>ZMyprYn;qxr^n>yf]hltakMyxtFxM@ymqbZIi_wZcir:v`Ey^hQpq@tLIfJyy:N\\Ypoc>yFPyIptVh\\A`uJx]fWvsAtPV^XyriAZYAdbFyIfd[oyeyiG@cqwiN>fxA]`pyfqx_oaVAtPV\\dgxS?`w?ywIgAisiyjYfm`FrvQ`iVv?q]Uokpoyefs;Ffaxg@wkYncyfmUVfw>]IPoyAZ?XamwoLwiX>gBaalXZnA]`XZvOpxGwPOyTF`\\Vhmy_cqc>yfbHftQtbxrVYlmAs^p\\SnvkVy;YeeakKQxXFo=pyCIoBwlr`[xFm`hm]xwAwk[``IFdUXffivxWnvI_:IcF`_;hqmpynNfm^YyWNlMReQSxcN>[Bvi]AkY^i]GyMwipOieTbIGU]fXARwoTQ_h=CgyACG;RmKfXgsIwH@AwlISbgdxoBV;eX?gysrNsXJSbSmtmgvZcxscCQ_BhkhriFIWUNUINMxYCe]MXC_h?wTh?tYsTOQRiMtsOHKSBNgUAmbywgZKGi;GV]SZ_HgUfGiy;CS]]wYGwgsygYFvsXDyHTax]QDhIxrstpOXIOg?ifaycLyWRGiEeEpOI[gIRsy_]I=yI:ig\\]FCaIOssNIdDgYB=Vm[u^uxsCIQkwRUvbkymIwnXwaDtglwP=uoXRbLVr\\SJ\\LtQKDEXKqXsdUhPwJXRfXNdmjctNa]x_yY:DjMaQqtmnyk;Io=es=@YyDLMExKDvypq=Mwmdyb=UuPqxap\\yrrelIeT?EmXIWsIPZ\\oqLSjQX^lY>XTy`YvhMNMVilr@\\L?dM^hvpyRr=T=FfOYdkQelvnfXfja^N?nqHGrbWrXGtqev?QbFYSqyVr\\YbEJuTqI<yItyXaNTYy=aYc=kHIxj\\Yb=m<hu`XVYQnI`mqiKyLOFmruAPveJUXluyik>b?@uYYx?ycJYdDokjypZicinluNaxQnNX^IPq=AxtoZmF\\qq[bVuS>wGAyIpywT\\IVduITwsScu;OiZ=V>SyQYieuSjcB<yQWiXvmkc`vtqRyfr`Vdtx[FItj?p?BWsuy;BjMYViCYiGoGu^iySky=;IT?bIqXkAbJwuvsWXoQMxNvXWyay\\ymlyK]IVrMkVMyHyuK<N>EyXIxI`SDlqImwYXydanCyiwVpoqZQx^uAwyw[xipQF]QnwyehAYvyqoAO>qYhLoWiOcIkvAoTyuVyKjyQwMYh\\J]uWcyuvmynhW>axSxJNgwapysw_aE:ixbIUy]cycE<WesyI:wvqkFGauy;JBtyIpYopo;uYvPuGXNxEyyxvy=jP=n@XxwAyI<vbxVPyMBYtpxksevaxvycK=xylMl=Tk<PwINwAO=uYpyoLGryMLITjxY:tSc<o=hJNyY:\\V]hXyiuYtY<epXaOdyQlIltxY:poIyY:DnTdoVuNZETEES:eJNPTJEJ?uOd]SMEjklMdlPRdPodJqMK:IrF<tQMkMIR?QqR<KkESUqXTQtoToV]uvYoF<JemNOET]hjcmmdDs]TnNPo_<mdLjC]We<rbyT@uMn\\rDMy\\aJUXkSPVWhSb=SvDLH]LFDoDXT?lOcN`n`uNWumgce>ceOd\\F_dNddN`snneF[CWcD@ZCAnfn`NXiMQkLIZD@Zqh_]hreg]DimjyqUvj]?wdg\\[OeTX[EXjxVm[NsH_jFpx[?tPYae`^F`jwYtIPs;P]pvpgH]CF^VimwfrYWgb@jBa^wY_;veWNgbgv;YwL?vRhs_PqG@qdvb]qd]Vrl_nTNrSW[Jf\\lwc:O_bo_XH]lfqA>ddgeo>tvor_IaV_x\\Yn?PtrWraXbD_ri>]f@egQhAWdQQ^U@qnyn^NhCG\\Opb_Yd=pkNasVvvNFmcG^VQyDH[]NtUHlcAcfQZmNiL?ceP^cvf]>^Owdrpi]ya?xdL`gkHrwViTHp`hjPXw`IaDF[?qh<O[@Q\\]oaKysFyq_haaweyosLHvxitl_C=Btcb<=TTySQkwdEiBCijEekKtIuVIEuNaHGQH__ibWFIUBpMHGgvaQigefm=i\\ScBeD_YEQmstMiNuDLsurIFyOYh;t_qbL]vZaDQErFiY@IGfSWLKbqkGC_RYOGT;wBqC^srx_Dc=dJ;UvWvVgd:SrS_eruFkKHJ]RfGrByfToVp=rHKvUYHGCxKmEFpy@tovASuHxsMK<mXT<r^LxA]TMQk=HtNNmV_vwityfjbvrogyb_tTOZ]pkYHnahv:yvy>k`PocHwKPdd`mvooc_u>?faQjeHyMgtMOqK^xnfxPwsjApqircv]XykYfnn^ZuwdNyk<imIAxDyaMFcBHs]Q^Q@gxAYcD:kGY_UZyG=aHVyGkCVYUrHAu:;xmkWH;wfWR<ycJKS:;WBwiBwcbivlYhJIWvIw;IR]QWx?E]=Swyb]KEhkTMWWakfNYIUauZeI?;I<yBCyfnuv[ujU`umaYbTkKPlAtWcxmhMm<toaIrqynvIM_=sxpRMPV]InA?tP^\\CFhNAavIwaLnxidfeGxtSNymob`a]Lni>@d=>h>hy\\iaBXnEeuevU=wcGv;?f\\wEa]TgqrfYrecCQTrpLqtMkWavoIrtM;=ISkByMgYWetUr?QR>sy[OW^cIGEbMUxZcyc_Racx]=Wcox[AwrOIDkG<icw[uqWVTKrkwH\\wEK_TxCEwfkhFuNFhK`x[@ZIAlnauy^]KIpu?avAiaxgfgvjpi\\xldFibva=Nk=Fb\\p`dIata]Lqf??vQx]XGgrYB;sxaiLaCy_s]EYKv`tijyfjYF^xQZxnjYxjv>vq>vc>[YfrQVxN^efV`dwfu>ktQkr_[rO\\=^wI?yLqiiqp[Ycnp]HxaK>bRWouOoU?ehV]^WppibAYwV_yqQhWGc`auB_]yAZDVZ<qtgpyMh`UY\\VNo=@uHVgg^qu^iIN\\]fiJgd<AhHd@SUZEYGQRModvKINGTZsDLCckMdKACwSWpcI`=xHWcEibtaUQ]DaoThQfOgUDsWggTPSv`eV<khH]FyIDnctogbC]svwTAufv;wAWHbewXiuh;DC]BCyEW[GruY=ebDGTFWUs?T=qwBqujoYJkrhoGNmt[OHc[u;;gesFUAb;]CxsROUdIeYS]t=KBj[u=ADwQGxwetIGveRjmRDQsbmUkEXp]F^wF]ysBODbWb]ITrOVV;b=?EjgIcuyqiIPeT>=eYwen?VIYHx]x[ycjUFxOBMIsSACv;gdgIRME:eRI?IBqES_DYkFtAXvIW;=uwkdYGB_myjqwAgHZ]gAarxIhvAgRyI:uuY[RTmiY;iYQcK;iH;gycduAbJwbmmgwOUQagW?eYUfK[TwsTYoB]ItoIrvCg?YbqWFbwiB[VfwirwyDWt@IdK=Ex_ty;rpaDxax<]Bsyum]CxGu_iySkac_yoquaXwAoaKpyNhZB@xSpy[FyMojyvv]x[<anB^syft<hayhynguY`x>qynpoPV]MxYus`]YmWsPwiXARwyI:eYNEvA;xjKIT?XWoHoErZGYwSVy]eKgXI]r=axy;roGt>ex[;YDgsciyy;rMwYi;bEgxu[ByacycSUeY[yg:MmQXpI@SJ=Ty]yxap<IRnxvRxumyiPan[vZjAqa@Zu?cyNeV?qyAZPxqg@^kp\\Nyy:VglinUq]tvmEyy:voLoimqytwi]at_wYIIbyI:wW[[SfwBpyI:swYYY^GDowyy;byqcN=uyluY@m]xVoyUFMtWlJgysiqYNdwYIYbuY]xs=QyilvbXryWfnAnPW]nxiIYbsQ]jvaaIowIgRygtyftId@xy:nnygn;Ffrx]maT<pyxV]ly@im=PwYdnVtYsuYDuj]YJNyiBQciqyuxAdpTeOdyQlQluxY:poIyIeC=]EgUVgcr^kTACDR]d\\wvPMUREIn=VN[t@UVcEH?cg[;ScEXLsrM;SC=Tk[C]_r=OERECH_T:_V;QDCYC@SrKGBZ;S__CHMGgqwReUXsRYaWmgcgswG;rG_TLuYnWd@_WS?wB]Y=KH=gW^sfDYB`WRw?VXMiOewG_sQStkqYo_DauFp?GgGcf_r<egvAequY[ceOIUNUDKmemEGPsUlwfZmVrKubmXV[etmR^kUmEtcmynytmuMRprslRtqTJmX@QxNirN]thTNrHt;@QOauNuTHivtllIuWkdPVHxnLLf<wlhSJmTimtTEt:xNidqcutPTPT=qCUTcmWdAp@=LLXVDpPMitspVptMAAynEXuaNd@lFDJ<ArWakrhWXEYP<q@EwR<VghngaNPtXG`K^twXAQgYUxQM?<tVuujxsL\\ncxXfHO^upLDM^DQpEq`TLPQmOhuDDnkpTNdODATMLr>qSeQmFTPJ@Jb`oAPUhdr]qXUDkagy^aatXyQObppxtiiGqlTHl^XlEasfAbavZop^W`[J?iLPxGyZhieRgge`bqVhXHtVnniPg:ixjO_gFdpOgQO[@nZmaydiwNp]PWqNfiP`gxgpHNoZPwqwbYnrtgib?qUWdp^oSIeIOifI^Df\\xWxk>rYfk?WpXPiQWb^>\\SAyiG[[Vxh>]VnkZqh\\XvbgocWZcqxQwhl?Z_Wb_y^jG[dIbf@jW?mVPlIWdeYeqA[QOrJih_vma^`wy_GWpX@rVIsyH`pf]AOiHObDWuO`hwGt^`mWpqOXqgggUVuwft;Q^j>hZHhrhtp>e]PsUyrkX]Zhaegh[@bpphF_oAY]HPaQwa>YsUAfpHjgw_TIuC?g`ykrv^_pff`gQQfj^n?hiax]TOtlFyTPv?HwTflcPsfWqROvR>dFNlVfhnNe\\acEiq:hyoPlBnkXAZ:>hGOdPx^ZGxBnsiingobho]LIwNA\\?Is<wbd_s<`cDwhBAdqIfGy^]h`U?]ivftFp`N^AFoOvhC?kwinxxe[iou^j@hbsFmSiqcQqZgdt@f:Vyo`p`ou@QhDHpFhjZPq`gdaqhAvvQow^@i_Ij;Fa]Nm=?pWi]:Afwf_KIehVjcPsFHZTGol`]MF]oO]wPwep=EHI=h@sdbGTHIRemD`GtfSCmmw@kex_x;MdeeRviwUIcqWVR_ebmCRyI:KDqqB^oeNWX]Iyvof]MTnWw=wUTahLUhE[RW=gqAhOCTj;HNIg`oE^kup]VwIgjkWJqw^cyd]B:UX]?g^cBe=EIOf`AwkuCo[YKiWHSFaAVZSiTeYusXnUlkxpNHyI@jLIlBiwsix^LlE@ooImhPVnLP>uThypdlX=`aLgeSaeVIiQ>o<Xa>`a@yrFXZAqaoht`xjhno]qgTywI_bWp_X`hWqjS?h:yy:fjY>gsghEhefXwNFlA>uU>ZjQgxXNaG@Uee;wx_sHUbmWtYSSOqxdqB`WWuWEe[bL]FB[TbqGWQIwcCCUGdqvo=T]SsZyDPCf^KbwIiS?yKOt\\kda]UFqIEWv\\?r:=s;cHv]cNIX=QyTMRWsC@qRXAh:Ir;cxnAwnofrQS`WC[MFESGLEdU]CpqungdOUbJiyNKEe;e^SR@Wc;=dyYYeqdgcWh=fniDiuFlqItIXsscWcis_wb_huGEf_iSYdEkD`cGK[GBAFo]eP[tmMWUKdpCh;Kh;YDGAEqoingfoAtMudL]UQOh`UHngvSKeRgTUEW\\urhwEWQyF]UdSw^uGk[fKqB<]fAyFQWVT[IpshGYWWSCf]gZeTSuXjIrc=GcagZiIMaYRqtYeGKIhV[GVCgYyU[Wbo[hLiIoWv<QHZYEUWyQcUfGTsCs:IRZUYuUdneSDsuqpO^MX_Aj@asSMWtTXPionIyUdWQuxRTy>AsD=OuLJw@WM@sLtvGqPsayu<O]=jZykBQvWTVuAPmPOIiq<=YxIo>PtsmjMyLVMxtIXtqtXhl_ESE\\QqUXH=k:DKxhwaHOxeXDUwEXp[TRdMN]QPBEsW=RqiQmMUPLPWQLKtS\\MN>]SQ\\OH<sRdwCiwZpttiloYuCdwZAK:QselPThrdqqYyknQNTeTeYmQxpxlLvmRHAm[AlZmYopxjMSO\\rpPN[Um[@TjtmHyQGlVTIWQTko`eKpgl`bBAlA`Z^ykEa\\PPu?hpJqfEH_s`fcwoaPlo_^sac>IoVWfavkyOeYPcKxuOwqC_^KHtV^jLGy=vmygnT^dTglO@q:Hw;QpsQ`Sv\\=>aWFo\\PuxYsNGqXpuWqfHXfKpl:a]`qmGHpS?wunbLHchwo>XpBQrqFZ=G`rF]yFvPghronua^Mxro__x_dfOb@AyCyxb`heWaUXiEprs@b<pd?Ve]vZMxmaydo@[^ol<Qvr>jq_f[>b]VlLgwFQeI_lDApHxfLqmkqwhg]FPdvgnHIZW>[vIoT`]E`hDqfy@qc_tLPffNc]y]IwiTwqaWgoo\\@pxLabCq_AAd^pkm_mqwxdPyLOwPndeagPI]EavsHlx?dkWusNot`tEhgl_pQXp;woZOs`Aux`skVa;?rxqnOx_aVl>Y_Rfl>iZSPb@@afOZmFyDPlgo`\\QvDywnoeVgwlOt>Y[H>mZqfK`pUAmh`hQqjpFfDvkoNPCCsiywccu?FmOfrQT`esDKiiuHIMD?EEoMB<ArcyReybpiwY;UgYFTqIMSiJKxKqcV;rIYWtiDR]waqiVGYX=U=AbeeBaMw;IGUqIOogkmVE;i\\qDVCBnuYnSv:yHvMiL]YiIvSogDyXCuH[?bsQSpGeD;T^EujAbmkCwKgeWUsovsSDXGc^csaWEwgDBueuOUm?itiCvQbSag?=I\\YSB[V>ki<mDwgYLcGtUIrmdBiwIasgERXsRw=gPohuWrwecyyENyX]EBXMx\\]IbGcX[RTgui;uYABPoF=myH?FD?haUvkkwcEyxIYvcBSiUNSd;SUI]GxoRQ_wE;djiV<uynmin=yX]sAEV:=U[YfK=hxOV:uBn]Bu]uMqriEVjoi`sTFOidye<;B]SiuKrIsdnQDGge__GQKXLKBHytuwbjCgkKblAUtoFlihsGCLUuo;vbSXROyV=VyQeH_VsUVmMskofKECs;Y@WcuQDgWXq]b]mthKcxaTucWlERhcXGQfc?fGqYfGrC[y:mWdcupeSieXPIyIkwfkrkUEpQxAaYtETykhhsFqmGkMCk;DwEdyiIogX<kwDeiSWIIYYl]rYAwFwyuUtMYSfufyGEyIbLcGB]XsegWgFpEhBYNAHnxhLUdvgAodMthUJkTu=DRYHyADOoLXuytmXmfQTBeVuLxR\\KVLYThWGmO`MkjXLlLo>uo>ho^urlTUFxmVFfpIrciePVmqwvbFcRvgXfxOxnivmq__wgd]VsIVhyAZPAoKpyII__wYgFUite;M[]r^UtLmwsDRDuNRIlAiuCMYT\\UDQq=@YOeoLiYg\\w>AlviO:HR:eqe]MxHOutJX@xIeYmiLWMmlQlstvDgrRYwCIfqalxO^;XjvYZji`EIr\\YkohgLajPpaZi[`PqBw_]PmEiwj>p_W^HHaWNqLglsvblWnLO`RYlboy]qi\\OjdPahy]:h`Cis\\YgByvbot?Ga\\wZhqrGgavvbrOliPu]wbF`mjV_nPkapb>WibgmDgxsaexqbYhPtuYdLlXWUTWUUPoUP>\\SaioIyY:pOsXUYhlCmVKpW:uofAnb\\kVlpn`LN\\xthsitucaYcppYlwcxSoLxJ@yTlwU=mM\\SPQTZAPREqOHofTWMIuDMjAPU^`m<@nnMoNavWElxLtplVqqPpymsMVyMkDHJO=MQmMvTtnuREPpMtyVerWIPkaNIMP?qxehPHYJi`muMkhakL@QO@WqXv[PrnIYc`ykTuj]YdTr\\Dr;lMSQj\\hk>YL:iLEqurIo>\\nUmqQDpklKdUNQhoE`MNtxqdpShkoXjlXLBmgB>rfx_INgqv`QO\\;W`Sp[mGqH@hwN_nPywirXym_^qK`vy`ynX^Rv]Dwg?pnPfwqoa<YyQ>^;NleGc;orY`sHY`M?owq[=YfyAZrwiYadu`fWvY]qkQxrQO^QS:qqOus;<L^eYcyl>yxitX^Xro]kLmxLqw@TW?]XaMv>Hm@EvNePWLUeDKOLMi<pXLw:mRG`tKixohqU@srdk]UMSdJIiKxilGLvahSvUrr<syljCuNDpyomnddLYLojMwnmpT\\jt]K\\<SJYJv=s:QSYPsp\\s\\HKX\\rX@rkULVqRILxfex:hoJLPVlMtELWqw\\XVuuqj=wseYG`scMuveN@yXADpTurTQJtyX?<N^iVZMjmymDipD\\okyLO<j=Pm\\]Yg@MMlTcUMrDRP]qCAOViuWiy<`Sk`tZeJy@y\\uJIhy_LP?TQ;yPuhpaxtfEvlMnZ@Yh]NOlUIULTMnPTYetM[ANyQm?apjion=w^lMMEmhErdUSrMRZMPhUuYpWDHQclx[ESMYY]pXmAulhplmY;qnk]mfTjehx`Uoy=J<eRbMyTypw]yTysUTR@@rRHM;<m>HlPINOaXr`XeIrqxWZqKYTTOesMYl_EPOduBmo^esi=iSyxoxgumPtrSqpxHM\\=SSemkakVpWHeyeHlLaXCdXmXnCPK?@Q:ilyhNrIyfpo>uWc\\WxeLM@XO]Ncejw`vHujcyY:lmYqSQHwyKXDWriqRlYn<vy=JIqPyyQ?lvWaJTUy\\HtntYkIoRyY:lnaEXnhwy=J`Xvm=Nf<xtxlvajhxY:XwuxY:<w@aPn@uQdY]qkoiMcxkrEmWyY:ttayY:@TGdwb=oGHotQMDXyUts\\qQkDyFhJ]HrBYV_TV^`sg]JSdp\\=ygaqMTWM=UE]mS]Us\\Pw\\voLNZTuElJVxNeYrRqSZdVAyNodXcMngHkJtndasqtqUYm?tKbamO=O\\HqRqT?`onhY>MXeAjW\\sIeonmM\\TqZdKAQsFApMi[lynTHm@qwBIht_eHY^O>tRQri^pQaZvOsG^drXt]vp?XkjxuoYoxy\\unl^wsNfbSOwLNiVwvSNcsVdNa]PwwAX]XviLAoVIeEg`fqyL?xHNg`QjDFcjgoNQ[COe=ogbIsu@dlIseAqOq^Lwn@noFyivwy:VDAsnEFkqDmOviot`uT__gDkdTaBPqWXsudSR>QyNshT_vmYb^QWfYBQatiaGBYti[uIOrQ_GPMSxWW<oYOQeRcsFmbKMcwmtLkHPyEYaeP;ST]WwSSoOB\\CsiCvp?v?[eyce^]wMcTUQe?URdOUfCDAMSpofcseHqvCMBWoBTGfLgHmOvKKFbkCH]RouDF[CoeeRquZSfoUHAMIg_UFMWXCRYkXuWw`ChvuiaOhlUxXWCLSWeoBpUxdGt@=R>_YLeSfQgPQRyMePmtbWN:`VP`mDTMTdqReucpXrqukujMElSmYXpPmuuwQM`ANe=OZtM=MUpuw>ptThoW<P;tJbdQ?qVcuXtpYU@Ku`NEiXJyRFhWZ`rTisG]qFMyo]qBDOMxY:`OxaOL=YpaNYdt:YwJDqfYt^aqMuOo=YFpT`DR[ln;iY]ITViuAaneMpoPM=@mZuoXeUdPUsHsnpk@LrRuOoXoeTNNDVZ]NCXQ^mt`ekUhS\\qlrXwWhSrmtwqrlLt=]VTmrgLv`au]Yy@ePnHQPTkeYMcmY?itRaJyIlpaO_`XDqTdqv>ajrELRmkF`XSmwxirehusDj_]uBUrHdLeeSkqNcpwSaVBuknPM<HnNyncyXGav`eSMttjPKQlYQXMI<RtTxUQmWYQdDUTAOyUTXxsNaTPQN<uPi`XFDuHavUATMqWhqudiV`mWq\\xXPjQ\\PelXGimbxm=QKLxMoMtZYvL]Pg`vMaOZqpUXk]hkF=R]ynLUpfuovtKln_ra^RffxipU?a^QiqaxcPhQf_Gqf<`tcqv[I\\OXrvanX`pgPocvel>akpaGYmm@rONmWgu<nl_vZ;GbVN[HYvK_`nop[fvt@lkQ]LHchicsfxeoj@AtdXiVhd[V^B`yJxu[FaAIo^XZhHgmYaSwZdn^eWwPhgXqfrvrOfeRP_hyaG@_YF`ONdhAfR>^dPk`YfP@kSo_CFw:YoTvgRh^lvIIbC_wZcs[SuR]ucUWkSHD]hVOwXoBuSFOgUHCypCc^sDlCIA_YTwwUugOmRkuSXGGCoFEcCu]H[ICZkEcITRsfAcWk_dTEYgMgUot^AELUEiETaMTwUWJ;RPieAkGc?VCMD?ybPiGFuYsib;Cd;UrMYuwMVAEVKWNl<p>AruqRTTl\\PKhyjWhwOtyuathXtvMyMQl`mUSQUOanF=oHhVTAyAmqkpulhWUywBlnxHpyGu?O`VIiThulav:HtKxmFgwOvq\\>`u``xFuaPcyAZ`Gi\\_lM@jfHqSNy]a\\qqqkXpiWpm`o?wbD>ojwZZI`RGxCih]Pvu>kLWc\\_ujVZixtvQgUwoo^q;G]pPxvYrYVs`yfiWbQi\\Vwqk_aYIiq`]e``e_^gGqU>lkGdIAoTWejFc_ib]?uFvmLqnJohh@v=VfV`hGYfXWuXGuXYsyOge`_fO`DYiIvnrqdkGcux\\`Nts@p`Fj[X\\s?n@ob=wfFhdrgxEF[^G\\_`t_wk:>\\QwaCPvkhheFtsWg`Wuv?qSxsR@nkAlA_xyfocWwJXbwQlridXnep>fuGjIPsThjfxmKWhw^gWGquPjKIta?l]xaEfjavaQptYhaFqhKIimppNaZF>lIOxhPhpGlgax=p_Eo\\vnmZA`?agrWj]>cUxqevy:FnD^iE`bVfs`XslneTinl`eBWu[_iggga`mnYvNVxk_gJX[@@mAW]:Vbsnr;OyPqba`prqgUi]LaaxgdX_viatn>oaxabqyVgit_fyAZKPb<Pflw`gw_gpoWQlPIh]>_CA]]vk@InNy_]xpKxdgAd:WriY_@_eY@rXN_^IpNhk^ikMfsNWaBWZMykPIpvG`p@ch^fv_``xcRpmrX^yAZQQdLhpDigXqro`pjYcdg^S_r[xbFYwIIwUIwKWbdHwMQckXblG]VAvG^klvidNspxeavewPjYiYUv\\YSR_yy;R\\MGIWsC[sG]RgyosXWylXApsREwNAVL`WOxN\\dPhdXETQCayslOO\\nw<j^xKhLqOaNMPyeTOhmTSxJNuTyTYiYy_tUVuUUQNGak>XP@DMZpmAyQ\\UOmyssTy_]mmmrppjB=usERV`TDmPQer?qPfIpidwP]wTYQ;Hqb=nKxmAenLpuSerlqLLMSPEwkdppYlV`XhtYSEsy\\phtoJUxfIXb@mcmry=JXtqtlkSakTiq`HnBmkS=R:Uyd<lyHoe\\VGQl`UTtXwU<mfTnQMMieoRdW>DovlyNLLYYUAAWQLpDmqEUVeeWaHqcurTISQEUhpo]]p_LSAUMudgxPfjFqAyvL?idWfwVk:ArPFjjHZdIZyAZeqvahll_uhxgtgrbhxwo`cO\\^VmhvvDNZjHsvAowWeEGeTv`rP_ZAv=X]jwidVn[IjOXqxNl=>ymIdcwUocq;WB[R_ayMmfsAvn]UtYT_uTxQR`mx@is?gf__Gcaem]BcqyiQsVki]Kchqwg]WpgY`guUWhqMrmEIPwyBCFquX_WD=gcs[tI;IPyccQuH[DhqutkeekH>=COQfASWJSsY=TM=DGkFaSgmggsCiPqHi_i_OrbkwIIfTUWTkU]Cuwiu?]RlwRLOXb=r;SdXyfkQwtatdEXTWuL_GM=Hq;CCcFAyI:yVceDvsxhESh]WSKx;oe[wTYYrQAxvMWsiiUisEoekIfwwh_WT==xmqY]wY?ocQmXi]XgMtPYXA[TbAYvGxDYSM[DYIDdGBQ?v=yB\\GWDASkiR[aChGTkwuhEdIetXIrFeceeuDqsKmXIoxdyI:ce:KDyERPMdOKD;]X_kelWI=mClSwIQBCYU=CHe=DayGmqt^SvYoitwYf;Cg_XskDfSwrQHJwvcaXwMWTyD_MegWWMQuXQuXswpks^IU=;fKySFSta_Dfiw_Oh`;yBoyRkcx;YVkdXQTewFh=s\\SH>SXbGDv=tmWeimYdWWRcHGqvlQFpAUP;G_WYYAyIuiXiG;uV\\GiWmGnWsk[dlmI;CUVQtguC<KGEYiRmGgOFRgRFIS:WdHoiYGFeYI]gvAWsOKWqaxtmTIUr>kWZsT>ixvWwXitsiDRwX^WvT?gNSv:QCSwB[sr]ShOGrhmrPcG_cEW;xCcxVuyTobl]iGAGcKfRuikMFVir[kGa=WI[YLYHtQcDWyFqSjOubMvqSrImxAuIYwUOQWHUsR_IwMtjAInxMdIWPDkAXuZLMSEtpPL]HY@IsfxXTdPtIRWhlO\\pPAT\\pRuPrDpVoHkvXycivIMsHDTUQ]T?;gcg_HEif=[cJsRuDrRItNaOL@KMujmIPAqnDPpuLPW@orpRiQxxEjYxLaduX=ssImrLypaoUxjwatAXqsxR\\=xd`vt]LqQkpllZhOn\\qh]wIyOretRAvLTwLqPpdT\\dpu@m]uK[YrqaNLHOh<uSmwbAyCppcItcpYdykJQmHAxPELeeyNPPVyrupV@erYExYeuRyJhtq_DOnYOuTKUDVRDWqlmCYu;PmnenPHW?]NsATVdTCqP@UWThqwho\\Ds<dLD@mYPTe<YtmTPtXbysDmOBdlaarTivnlLyiVq@xfyRa=VrYJMePMuRMqLC`oaik_=kaDWHyp_]KYMX_mWsESgUVi`S?lwoAo>=ZsfowvcGOqMhdN_Znf^qPZ@>`mBYcs`egVoUueRqURhEY;IeNUUMcWTWdDcToWxICxWGTX=IZ]E?Kd=wSgCr?oEQ;eSOh?wcveTYeTAYEcGVROHAuuOsSOkFecUL[b?wFsiSVOfq]EQMGDshjWBQUXhkTgEUXIWMMwPCh_]TBAuwcHwOgIGSBWgZWv`yUewtnSEGYWuesxscvmF>ib<Qi]eV`YWaoh]shxOB\\mdG_hgEflYY_iSYUTuibJagG[Gm[X]CySeS]SgJ[ft]rK[BjSsIufWoFVmXR[RqGxmYdT=YwMw=gi`[fYWYn]tJEdBQyeouDSxn]YEAy@kUE[FykvlAUhKiDIw[cI<YeRisOmvHYf:?go]TkMxOqYeaYByssgxgcSaOekQRKMvr]F@eU:_uFeDHiC<_IuUdHMfMsduSx]ydg?vmYdv;IQSBDuIT[YYKg?afMIyuwB_YH?utpYxTqRJKcSsUFWdt;RIyeHQW;]yg[iv?T`yDG_cuwriwIe[hrEI<CxBES@OTKqvtUiCmRpgdoMB<sSayXyOe\\UrNMdS]SmMEA]efsF_msIOhfSIUcWxmWigFO;EXOBcAvPgeOocDSgbMsP;cUGSJYvsUdk]cWEYxQVaMxQyFsCEPocgqw>Ch<MgR;dwcIciHpgGb;gA=VToILUReWE@?h[AcxcdH=gFQu@Itw;xdgfvwEK=TTEbsqdoSE]?s<cFH_BdCi=WfHybleW=mXh[Ipcvy;b<[wUAePieg?svODFErjEV;MDuquOuRACInkDqmTZEF`EYjSyKod`yEiQdhOsdgYUgYSYY=kS]YCCssRARwSw`qvberlQlqtlvLjmISgtQH@RqqlQHXihjQYjiQUbPREimbQL`iM[ESItMket@tUqpo^]TCAQm]WjTWqxuYYmxUYtItelunHLK`NV=pr`U>ymHQqbdXWHLJxMmtQHuYqysHtx@qL[ENBqxutvUTlOXLWTSeULOMkQITTlTm`qPItB]W=@pCQVj\\qTuYZ`UymLyHny=jQqOWdL:EJ<YVqhPBAyoTXb<TAmTvxmZdn=YvrXWviJi<K``oWtP]eOWyMvaKPyP?TthQLA<naQUqXpxyTxUQRqUair@xvwmNndy=XtmpYMmYNYvwUx:]OqxWuyJk]pfuY[uYMls]dtIMvbARnyuHYk?lKADtYAyRdukuygxMyMroXq[xOtUNPqU[lmiqwIdYpxY:dyBptH]KkPw=QU`XMUts]yMNyRtYVwMWe@yFtpB<JoeplmyvhuyptYxnfMkZ]Wt`twINnaPomRJHWeAM:]NPqmOPxYENwTPTQuoPRV=oOewSAP=`mdpy@LoLatRtR=YT>AvqllcmqYLkRenfDuDXR;lTixSTioKtl>Pk\\xTL=J<hK^dTWuNpaNYhO=huq<MVula\\VoXW=IOlHO^hPYTXmiPRetiencUNEdOy<VslvNTlG]UTLWpLp_aQPXms\\SwAm\\mObarmpsgatDhslUSkhoNUxTMYl@vEaXcPtqUkdAs>]MYHqy_qc_<;tM[XOMvRuyvIIochgyvhkgOQBigY?grhOcx]bImfW]Y`sec?CdmyCqcWsv^SvO=UUuStmw<?sEcvKuHdSGGcy_gd_GTN]g=]uugDrITFOf`urjKCC;FkCuEoEcgrLqd]GTAURWgIfUdGcwo_RVob:GbHgd=GWZYis=ungED_vL;u\\UE^QhduDl?YMqIQSb:OS\\owhWBmECRUxwKvreCSAXM]cXOv]KelEYK;CQ_rJgsM=GcUUueX\\oYoax?srNse`ms`ybDmRReUCUflSxZAsbYRN]dQKbaEiqsX>qBA=VtgD=kTuUTFadNaR\\WdG_vCWB]et[[UXGGagFCCy^whekRTGg@Mu\\cFeCWdKxdGdtmTBkTPYh_IVBaeqkfRgybQHHIWVob@krqQWJAfjuvkkh<UWXmsXmHq]SsYxvUW=wsA]GPYTY;sjoSx]uViXIUDScBCgVIYDGcS[cXfernMS@=hAeIbCfHGbQGVfsgh_xnkBy]hauVKAMOXW]@slpRXIW:Qv`HUT@tSlOmMVjtsd=LHTPDQL^`t\\=NFAve]kLUVOLNb\\pKlSc@J?uMjhPIDYUXmA\\x`pp:pvK<VSus\\pp>DQ<EtFiSLMn`MQS<MRHqexlPQLE]QcQMP\\ukEJPQN:\\rluj@tOTIpGxX]mXwTWauU=uMaeWFylmLlqPUbErWLoBawS=yEHyPaw=isJ@s=eo@=uOQvlpxgdQEPS`MwT]oaqveewM=j:<rNxnMLmtQKTMNbAuAqSyPUXxuoaL>umldYdEwQxVGMUm@WFPt\\qMelSE`sLhj@emG`R\\LV^ESA\\XfyvniN=hS<Hm^DlEpYkQSO\\NXxkeym@yogenETlQuSePU^Qxe`UHMQNmONUsg`rbxN>DylxqDanrTt]AquTyCmlb]VVtkg@jAEwQqxMqPT`YlmK>ERgwgX>rlIcCYaWPpdG_n@u_yfy_pVwryxwdFc?xa?heENkTGaRPh\\xmpihc`pPnjZFfXfqmWwT`jb?xWVo^vpLnrwX^sO`]@x?Ig;PcA^`c>p^ibUfslV]YY_uGsRVkhAkjyaahpw^hbarlfrnVtVa^ZXZ`qqBwr_heEnc<vmmfp?@sFxgrybga[@V^^fvIW^hnaYwnRf\\dWvHopPhs[fm^?l>?qFF[Vyad>t<vlgo[Gwj\\F`nWqggw`aaqpg[_gbFlHYtAAdBvZmYoI^n:wfc?vPXiawgw`vx@tyO[MIrn>q]hmXQv^ibUfgtnuPI[]FkUO`aWiMpliGod@pbA`:Wq\\Wqw`daf^>>n=fx:nd@iZgn_`w`NnfI_n=WaBgcOQt]NlFGc`^\\xud[vPECiQC=Oc:;CjebIuCdIXgirR]DL?ghSuLgYeEIsirCWC@YvnwRowTYgbqQuXKuGOX\\We=UHcwUhGRgMgVKes?UsEDDScnQR`Wy:qGiCh?uh]uXF=VNoTt[epuxlaEAag;ivHcF^ItCwS_AGx_Droe@mC`mIMuyHUt\\YtvsU\\CuU[SsiG^mew;HdyCf?y?aBQEtWiE?aVFIUD;S@MxmEwT;eXAIvAwU=G?aEFCYKKBGKHrsVmowKGSBgboSE]OR[cyLGtfqIBayRQFm_CYSwFyFkgdgaxKLxblv[ASD<lcEP?ExVLVcIu]\\k>InkAj]<wcxQSETyEww]QEAnQ<tKLjk\\KXToAMW?ln;dWAUPH\\rJypLYvppqPLXsdNlXsJHrBxRbyJ_LncIlAEow@YLTVetvZTVi]StUyPmJALWVYYTHQRnbNOmoVpVG][IighmxHx?pxaAxapoQ@\\bGe`hmFy_vxgjwhqFo]AtPolI>on>ftQ[s>mlWNiyL?fvkecmeCIt\\WIuqxtwfrAw`Id\\?EruXqKBqEyb_B^IGvUGQoe\\Sd<mC`nago^TafpPbDfosPsd^]DFb^XeCpo_Yamah_`fsQqaooevbbgx]xgrxnFYrOh\\f_o]Qpp@e]n[OWhEa]XPggndUiwP^f\\Nv>WaQXwT?]xvqOX]UwqDwjiqgNgiWqko^f<n^POdKwlFVa]ay;Oola_L_bP?hiX]qW^^ygAypLqpohcsNvm_abFeUnlKwteAeGY[PP`SauRf^yFitOjwgrm?aSIuUHoYOf\\hiTxtqqdpfvWAq<YhtitmPghGvK^eTGsQa_f@[:nksinEgqtW\\>PkCykqQj\\Imkgykhi?iw\\qrWhtyNyNi`Xfvan_Z`cJGlioZPAfH^Zv?ZwGonwfPXuSgkG^vQq_EYxe>_:q]oPZfyjj>e[PmpOwAymFyy:NccaayVnUh`qV\\kHg^avTPokWiD`nOaoFxiOFqmalIndyNtm`gnh_<OxWqf@GZUgneWgtf`fythHtPhlSVpmq]YPccapuxhp@pDp^@Ab`YqahdSA_mxs?X_p^vHPcUQrM^aZpuEglWfjgOgtO_GwnAgghOcRHqYgoiggpa\\gwy:nflpvqgqoq`^qdk`srWi>?qMqwXFeVifAhnn_qyAZrWdkpyCYn=>tLiqoYfoppkfhWH\\o^_r>flp[@HqAAxpPn^hwO@[tytsGjiqbAFodXdLHuLHvQNqrVoIn[d?\\W_ol@aTIZHAa[`yivhpArDyilo[jocGohrx]^Id;hydIa_audG\\W?[>>apPxDxmuXj=`e=@iX?wXojV?mOGj^avQigIpxbxruadNPmJaicPw_wecI\\XOu^^gDNqH@[gaeNqqQvqQO^sFZXGuOfuZyy:NIyruwEgcHsggR[u\\uhAyuy;B<GXcuYsIhniWecIBcuY_WMiihIiqoGEyru>fyAZroynGaCqw;Qbe^fjOhrqewAesQh<hqrxy:VwMya[A]NyqxxqQxy:neu`yYvwKWjwywPymnxmlgiVXiVndWHvu@shXcIy^?>c\\QlY^[ViotAsYG`]NZuvtgwsqyqTGaxyxeYcXheDavIPf_fbNO[q?hkNtshgaWrqX\\Xa`PakNwaf>[hXqxiZ@waTiycF_o>prvnsXj[iu`fcxv\\MNxFiidfaYWrEph@YelWfmwtXQQqe`]cuKeNQEOwCOeX`;xgEVg;CX;eTQtUSbtMcHqCfoxcwvTowkqIoUuyLPyMqhanuPlcdRnYNHPpKPOJ<qXhPDUWxhmXpvoiVqHxoDs`Us`QqwYNJmYn<VuMTLUw[AqaDQ=QSnlPpIp:eVqqKvhtXiMyEnIyVk@MtItIxO_MtOmjmQWNUVwDRyTtIyrQExn@Mt=TPXm;pYGyOMym:tn;lykMkkhXZ\\OlylKqvlYvIDydyuFqtHPM_<Ns@mb\\vOUyvIucmvqXxepwk]Nr\\Uaal]`uqHO?`xS<Qm=TseTtIrsHs`\\WO`koDpBer:ykTmoRDwvLQ:urMLPc`UkATn`yMPKpPtMXS`@KdTLAPnVhVYXMIPsVtrCiVK=XeDyxeTyQSsmV_yQ>MoZ`lrUpVPo]]KTTWkQpw\\T?mOVHlX]PnUU_MjC]U<XT_PQhiLRDkMuotqKPUXhEmkeLwdRwTlPlPY@WLUSsaNf=cVhdUybUyfk__vWqV^[OG]hV`QvlL^gAfolnuc?fL?oYI_gad`ycgVsjAcPQmm_qGYyCQaHfx@HwsHk]vooNhS_^RhvHiicXmeo`hIgONfahlgAc\\oxehfrnngIokhb]rVSdvKDIgd[OhGqENER>]rIAXJiWIgeoOFdMg<?RDiCR_C=wdboVRUxTkBOeicqFNuHDhjFTJHTyK]vHPVohKc`LYlvxdlVQvoLSqdkgpR;IoDAn<uO[ATsqmOIOpMvtQKJLUkuRrPxRtYaIqelpPTyWAMHDPQirZtwM]O[tJOPlWhT;ToOPsZaX_htaQmVlrbDuRQXTHL>PJVxLD<YHIWueRPLjW<NT`QxTxLal`]nRAy\\lt<DQFqXcLLv`Tu@j`aM]pNEhjBaYyDrMqRRdmcPsnXxlaKNQU^mp@=y<TortsHeLuhmNQrvptJiKDPsBUJ_=Q_LsP\\mPdp_Hl?TOR`k:txN@rndxTMnREjBEOO@YaPoaQKMpVTAwGIlgqx_TULiWGejc=KhEo<Yt<PTZUTE\\kedwCqp^drR<Nf\\pidPbpmN=XcPRJmLTdJuPJQdWhHo:<jKuKDqhr@nPO]?n_c>u]`\\?nj\\yl<^m?>]ZphUFj@gZu^\\\\GjRog?>]N^wKOk<Vrj?_:yn\\_kJG`r`\\\\gmDH`:g[?A]qyn\\_KARXAG?SYN<J`xJ_<mN@Q]\\l:@m^XUiqS?A==hx_Hr_hrif;;V@YfTst=ODQ_TZ;D=oXD[UFgx_cBh?IZmrg;cZkUGuVXAwPuTAqhJiswIf;cWvGTD=Rmys[EcyQRlIRnUhDkuS]eAeEk_f=;YhWw^cbRQVBsxbIUcoXpSVK[rmUWQoXIMSVQd\\ERRkgAciRuVmkBbSsGUeC]hMEH@IGV[GqqUnYVVYTk;rX_DhSyFwbriv;gXa=Vt=db?If=h`sd@gEDIXiqc]AHVKUjIwRwH][d?qr]OeGqyN]gKMCQgT@YfT]SuYTkkrc]EpWuqO]HovDxdOnj:hibHroa\\\\A_?y\\Ef[;qx]xZPylN^pV__q^\\KncAiqRvx`XZkwmTo`Dphbfr:v`bWnYvvN>vbFr^XZkobmvuma`fQd\\?mC^ktGdrQmVGdD@b_^\\rXnNFZ?HhfwubglAqhafxo^ecpsGVgVIZPPyTpsRAeXH_o>un@spOtgGoSQ[oa\\FYiN?u^Wico`NYqwGop?t>VabF?AepaVUARBmhKox`UeEoH:AVSqbDUEgUEbGbEEIQARkicUOUUcWbKU>[bL?Tg]CA_tRoH^KhW_XuMgGqiNUiw;G<ggnUmRqX_XO?UjZTu@QUUdw`tUd]O>DvcMWB`PfUyL=Jc]PkPk`]Lb`LjEo:EObaJTIp:aNSQt;dwEqp`LrZLUmmSBLwgaP[DwH\\VuTyLil\\in:axZ`KLYkOpxLiJclXmmSE\\S^ERcpXtaT?DW<YVgXJs<lFatD`pjapZaP?Lxw`P[LWXW\\cib:xgWa\\@qvWpbefbN>j`W`@OuxgabWZONbr@rn@vc>u_X[eac=?baPoMQvXGcninvNlc?kKFipIoynjThmcvRCEPODQ_DdcByORR=E[?E_ORVcrRcB:;fN?i_cf<;bU<oVXtb<N=\\l\\MKTuxO`j_drNPnEhJ>`lrh^To_PV\\NNdKQk;Gfbfn?A]Z`__^\\rl<LRKYSDDP:=UDEOkmRbTKCdRh@_<NrKWcDH`:?eDG?GDDQR<EdEKSk=RRK;:::::Bk?w_b>OFQ>ZDG_kk:\\lLK<DtE;::::::ndLNKN:ZR;h::JPLpaxlqMtHHrBdYcEne`mTlky=joMxy=JvxY:dmmHlLYKOLvemjPYYotuNXVYLUFMMFaJ?Am_dRR`P@lnbdRhxk[TnA@TJMj\\]kLAVtMMjdYG<jRdsRdn:LYT\\UYTr:qr\\]kM=k]Hp^xvL=jULkc`UtMtZMYT<JFITD\\UY^kYVb:?[bfn;MVC^URk>ftQ]DFlRAt=FhDgZ:V\\RYtpxm=?bZNZVhZ;VeJqyNGN=GyKG@?w_UgCYRbsYdGTYYRsaTR;WAMujcB`YuJmYNGFwyS_QC:SyNKtcUEUcuIev@<Wy_oPf[n`wL?ZXyjlYnG>wyO_fNZKXc:PiLYhbyidfd?>mFfh_@fQ>juFdnynDOZjP[wPaTxfxnjY@_?^\\VPyTFm]oe=fhoFcF^jhX\\qWfC_xeYd\\`yHpn]hkH>vuO[\\pbJFb;a\\oXa[xhCA^D^ki^s@wiTNZ]ibrv[TohOa\\Rpn[FxH`pXaxnAaGa`o?n?NZVhZanan@nT^fHXZT@i`p[c>rJQZLqkn`ln`ePWZ:WnnnfEhj?`n\\Pk:FZ_`nnVZ<GZ<amc>j\\qmc>jnHd??ZN^p<pl:P[bNn:P[b::::::::::::::::::::as@YyaMgycUNEDL?h\\KCb?b_OVD;VNED?SBD?g\\;RNYdbOFM;BwGWNEDBOBDN[ANeb>nAFd?_<Mut=dbOfR=bogf\\KS:?XasIG]DJ=XTKebCW;EgbOf;cRNEDBZb:>\\LId?Od;fc_^\\M?\\n`L;T[cBg]l<Fd<?ZNNwb>n<OkT?_ZPZD@?:Fb?_\\M?bbVwIOnD@fNFd??Zg^\\K?B>B:::::::::::::::::::ZYvyS4=\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCImUy0iRiotJS5CT1VORFNfSEVJR0hURzYjJCIlNUtGKi0lKUNISUxEUkVORzYi Solu\303\247\303\265es Formais para EDOs

Meu primeiro curso de equa\303\247\303\265es diferenciais, tirado de Rainville's Elementary Differential Equations h\303\241 45 anos atr\303\241s, abrangeu solu\303\247\303\265es de s\303\251ries de equa\303\247\303\265es diferenciais. Nesse curso aprendi a manipular s\303\251ries formais infinitas, mudar \303\255ndices em somas infinitas, extrair equa\303\247\303\265es indiciais, e gerar equa\303\247\303\265es recursivas. Desde o tempo que comecei a ensinar o curso de sequ\303\252ncia de equa\303\247\303\265es diferenciais no Rose-Hulman Institute of Technology em 1985, o tratamento de s\303\251ries solu\303\247\303\243o foi truncado para pequenas manipula\303\247\303\265es superficiais com polin\303\264mios. No m\303\241ximo, os alunos foram convidados a obter apenas os primeiros termos de uma s\303\251rie solu\303\247\303\243o, e ningu\303\251m ensinava qualquer um dos c\303\241lculos que classicamente levou a recurs\303\243o dos coeficientes. Durante meus dezenove anos explorando a matem\303\241tica com o Maple, tentei uma variedade de abordagens a esses c\303\241lculos "esquecidos". Como novas funcionalidades surgiram no Maple, alguns c\303\241lculos se tornaram mais f\303\241ceis, mas outros permanecem dif\303\255ceis de implementar passo a passo. \303\211 claro, o Maple agora possui comandos para produzir as s\303\251ries formais completas da maioria das equa\303\247\303\265es que aparecem em artigos livros como o de Rainville, mas implementar os algoritmos que aprendi h\303\241 muito tempo ainda possui um desafio interessante. Nesse artigo, examinaremos tanto como implementar os algoritmos de etapas cl\303\241ssicos, tal como obter seus resultados aplicando os mais poderosos comandos do Maple.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUShyZXN0YXJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjhRJ25vcm1hbEYnRitGOkY9 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjFRMCZBcHBseUZ1bmN0aW9uO0YnLyUnZmFtaWx5R1Emc2VyaWZGJy8lJWJvbGRHRjgvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GOlElYm9sZEYnLyUrZm9udHdlaWdodEdGSS8lJmZlbmNlR0ZHLyUqc2VwYXJhdG9yR0ZHLyUpc3RyZXRjaHlHRkcvJSpzeW1tZXRyaWNHRkcvJShsYXJnZW9wR0ZHLyUubW92YWJsZWxpbWl0c0dGRy8lJ2FjY2VudEdGRy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRmZuLUkobWZlbmNlZEdGJDYkLUYjNidGKy1GIzYoLUYsNiVRKFN0dWRlbnRGJ0Y2RjktRj02LVEiW0YnL0Y6USdub3JtYWxGJy9GTUY4Rk4vRlFGOEZSRlRGVkZYL0ZlblEsMC4xNjY2NjY3ZW1GJy9GaG5GW3AtRiM2JS1GLDYlUSpDYWxjdWx1czFGJ0Y2RjlGRUZmby1GPTYtUSJdRidGZm9GaG9GTkZpb0ZSRlRGVkZYRmpvL0ZoblEsMC4xMTExMTExZW1GJ0ZFRmZvRitGRUZmb0Zmb0ZFRmZvRitGRUZmby1GPTYtUSI6RidGZm9GTEZORlBGUkZURlZGWC9GZW5RLDAuMjc3Nzc3OGVtRicvRmhuRltxRkVGZm8=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjFRMCZBcHBseUZ1bmN0aW9uO0YnLyUnZmFtaWx5R1Emc2VyaWZGJy8lJWJvbGRHRjgvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GOlElYm9sZEYnLyUrZm9udHdlaWdodEdGSS8lJmZlbmNlR0ZHLyUqc2VwYXJhdG9yR0ZHLyUpc3RyZXRjaHlHRkcvJSpzeW1tZXRyaWNHRkcvJShsYXJnZW9wR0ZHLyUubW92YWJsZWxpbWl0c0dGRy8lJ2FjY2VudEdGRy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRmZuLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEpUERFdG9vbHNGJ0Y2RjlGRS9GOlEnbm9ybWFsRidGYW9GRUZhb0YrRkVGYW8tRj02LVEiOkYnRmFvRkxGTkZQRlJGVEZWRlgvRmVuUSwwLjI3Nzc3NzhlbUYnL0ZobkZnb0ZFRmFv

Considere a equa\303\247\303\243o diferencial 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

LCgqKCIiIyIiIkkieEc2IkYlLUklZGlmZkclKnByb3RlY3RlZEc2JC1GKTYkLUkieUdGJzYjRiZGJkYmRiVGJSomLCZGJUYlRiZGJUYlRixGJUYlKiZGJEYlRi5GJSEiIg==

aparecendo na Se\303\247\303\243o 107, p\303\241ginas 317-20, no livro de Rainville Elementary Differential Equations. Em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=, o Maple fornece 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

Ly1JInlHNiI2I0kieEdGJSwqSSRfQzFHRiUiIiIqKCIiI0YqRilGKkYnRipGKiooI0YqIiIkRipGKUYqKUYnRixGKkYqKipGL0YqKUYnI0YqRixGKkkkX0MyR0YlRiotSSRTdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2JCouKSEiIkkkX24xR0YlRiopRiwsJEY+Rj1GKiwmRi9GPSomRixGKkY+RipGKkY9LUkmR0FNTUFHRjc2IywmRj5GKkYqRipGPSwmRipGPSomIiIlRiopRj5GLEYqRipGPSlGJ0Y+RiovRj47IiIhSSlpbmZpbml0eUdGOEYqRio=

como solu\303\247\303\243o geral. Mais tarde, mostraremos que o Maple pode fornecer a solu\303\247\303\243o em uma forma mais simples em que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEkX24xRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0YzUSdub3JtYWxGJw== \303\251 substitu\303\255do pelo visualmente mais simples LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=. A solu\303\247\303\243o cl\303\241ssica dessa equa\303\247\303\243o come\303\247a com a determina\303\247\303\243o de seus pontos singulares. Obtemos esses com o comando do Maple 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

NiQvSShyZWd1bGFyRzYiPCMiIiEvSSppcnJlZ3VsYXJHRiU8I0kpaW5maW5pdHlHJSpwcm90ZWN0ZWRH

onde usamos os nomes longos para comandos nos pacotes DEtools, gfun, e Slode que cont\303\251m as ferramentas que necessitamos para nossas investiga\303\247\303\265es. O comando usado h\303\241 pouco nos diz que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= \303\251 um ponto regular singular, e que o ponto no infinito \303\251 um ponto singular irregular. Todos os outros pontos s\303\243o pontos regulares onde existem duas solu\303\247\303\265es convergentes da s\303\251rie de Taylor. No ponto regular singular, existe ao menos uma solu\303\247\303\243o da forma 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

LUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJiZJImFHRic2I0kia0dGJyIiIilJInhHRicsJkYtRi5JImNHRidGLkYuL0YtOyIiIUkpaW5maW5pdHlHRiU=

O resultado da substitui\303\247\303\243o dessa solu\303\247\303\243o formal na equa\303\247\303\243o diferencial requer diferentes manipula\303\247\303\265es em termos diferentes, e isso \303\251 dif\303\255cil de se fazer no Maple. \303\211 melhor trabalhar termo a termo na equa\303\247\303\243o diferencial. Para isso, primeiro obtemos (e simplificamos) a primeira e segunda derivadas da s\303\251rie formal. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEjWTFGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZTLUYjNictRiw2JVEoY29tYmluZUYnRjZGOS1GPTYxUTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRJnNlcmlmRicvJSVib2xkR0Y4LyUrZXhlY3V0YWJsZUdGRC9GOlElYm9sZEYnLyUrZm9udHdlaWdodEdGYG9GQkZFRkdGSUZLRk1GTy9GUlEmMC4wZW1GJy9GVUZkby1JKG1mZW5jZWRHRiQ2JC1GIzYnRistRiM2Jy1JJm1mcmFjR0YkNigtRiM2JS1GPTYtUSsmUGFydGlhbEQ7RidGQEZCRkVGR0ZJRktGTUZPRmNvRmVvRl1vRkAtRiM2J0YrLUYjNiZGYnAtRiw2JVEieEYnRjZGOUZdb0ZARitGXW9GQC8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGYXEvJSliZXZlbGxlZEdGRC1GPTYvUTEmSW52aXNpYmxlVGltZXM7RidGaG5GXW9GQEZCRkVGR0ZJRktGTUZPRmNvRmVvLUYsNiVRIllGJ0Y2RjlGXW9GQEYrRl1vRkBGQEZdb0ZARitGXW9GQEYrRl1vRkAtRj02LVEiO0YnRkBGQi9GRkY4RkdGSUZLRk1GT0Zjb0ZURl1vRkA=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEjWTJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZTLUYjNictRiw2JVEoY29tYmluZUYnRjZGOS1GPTYxUTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRJnNlcmlmRicvJSVib2xkR0Y4LyUrZXhlY3V0YWJsZUdGRC9GOlElYm9sZEYnLyUrZm9udHdlaWdodEdGYG9GQkZFRkdGSUZLRk1GTy9GUlEmMC4wZW1GJy9GVUZkby1JKG1mZW5jZWRHRiQ2JC1GIzYnRistRiM2Jy1JJm1mcmFjR0YkNigtRiM2JS1GPTYtUSsmUGFydGlhbEQ7RidGQEZCRkVGR0ZJRktGTUZPRmNvRmVvRl1vRkAtRiM2J0YrLUYjNiZGYnAtRiw2JVEieEYnRjZGOUZdb0ZARitGXW9GQC8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGYXEvJSliZXZlbGxlZEdGRC1GPTYvUTEmSW52aXNpYmxlVGltZXM7RidGaG5GXW9GQEZCRkVGR0ZJRktGTUZPRmNvRmVvLUYsNiVRI1kxRidGNkY5Rl1vRkBGK0Zdb0ZARkBGXW9GQEYrRl1vRkBGK0Zdb0ZARitGXW9GQA==

LUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKCZJImFHRic2I0kia0dGJyIiIilJInhHRicsKEYtRi5JImNHRidGLkYuISIiRi4sJkYtRi5GMkYuRi4vRi07IiIhSSlpbmZpbml0eUdGJQ==

LUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKiwoSSJrR0YnIiIiSSJjR0YnRixGLCEiIkYsJkkiYUdGJzYjRitGLClJInhHRicsKEYrRixGLUYsIiIjRi5GLCwmRitGLEYtRixGLC9GKzsiIiFJKWluZmluaXR5R0Yl

O grau do termo gen\303\251rico na segunda derivada foi baixado para 2, e na primeira derivada, para 1. Quando a segunda derivada \303\251 multiplicada por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, seu termo gen\303\251rico ser\303\241 compar\303\241vel ao da primeira derivada. Portanto, formamos e simplificamos a soma 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

LUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKiZJImFHRic2I0kia0dGJyIiIilJInhHRicsKEYtRi5JImNHRidGLkYuISIiRi4sJkYtRi5GMkYuRi4sKComIiIjRi5GMkYuRi4qJkY3Ri5GLUYuRi5GLkYzRi4vRi07IiIhSSlpbmZpbml0eUdGJQ==

Quando a primeira derivada \303\251 multiplicada por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, o termo gen\303\251rico ser\303\241 compar\303\241vel com ele mesmo em 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, e assim formamos e simplificamos a soma 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

LUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKCZJImFHRic2I0kia0dGJyIiIilJInhHRicsJkYtRi5JImNHRidGLkYuLChGLUYuRjJGLiIiIyEiIkYuL0YtOyIiIUkpaW5maW5pdHlHRiU=

Para combin\303\241-los para somas formais, precisamos "baixar" o \303\255ndice na segunda soma. Fazemos isso no Maple com 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

LUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKCZJImFHRic2IywmSSJrR0YnIiIiRi8hIiJGLylJInhHRicsKEYuRi9JImNHRidGL0YvRjBGLywoRi5GLyIiJEYwRjRGL0YvL0YuO0YvSSlpbmZpbml0eUdGJQ==

Antes podemos adicionar a soma come\303\247ando em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= com a nova soma que come\303\247a com LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjFGJ0Y5Rjk=, precisamos extrair o termo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= da primeira soma. \303\211 melhor extrair o somat\303\263rio com 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

KiomSSJhRzYiNiNJImtHRiUiIiIpSSJ4R0YlLChGJ0YoSSJjR0YlRihGKCEiIkYoLCZGJ0YoRixGKEYoLCgqJiIiI0YoRixGKEYoKiZGMUYoRidGKEYoRihGLUYo

avaliar esse somat\303\263rio em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= para ter 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

KiomSSJhRzYiNiMiIiEiIiIpSSJ4R0YlLCZGKCEiIkkiY0dGJUYoRihGLUYoLCYqJiIiI0YoRi1GKEYoRihGLEYo

e ent\303\243o reconstruir a soma resultante como 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

LUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqKiZJImFHRic2I0kia0dGJyIiIilJInhHRicsKEYtRi5JImNHRidGLkYuISIiRi4sJkYtRi5GMkYuRi4sKComIiIjRi5GMkYuRi4qJkY3Ri5GLUYuRi5GLkYzRi4vRi07Ri5JKWluZmluaXR5R0Yl

O termo extra\303\255do LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= leva \303\240 equa\303\247\303\243o indicial 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

LyomSSJjRzYiIiIiLCYqJiIiI0YmRiRGJkYmRiYhIiJGJiIiIQ==

cujas ra\303\255zes s\303\243o 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

NiQiIiEjIiIiIiIj

Desse modo, em um ponto singular regular LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=, uma solu\303\247\303\243o ser\303\241 a s\303\251rie de Taylor, e a outra ser\303\241 uma s\303\251rie de Taylor multiplicada por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtc3FydEdGJDYjLUYsNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGKy9GOVEnbm9ybWFsRic=. Para determinar o coeficiente geral em cada uma dessas s\303\251ries solu\303\247\303\243o, adicionamos e simplificamos as duas somas que agora possuem termos compar\303\241veis gen\303\251ricos e \303\255ndices iniciais id\303\252nticos. Portanto, obtemos 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

LUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJilJInhHRicsKEkia0dGJyIiIkkiY0dGJ0YuRi4hIiJGLiwyKioiIiVGLiZJImFHRic2I0YtRi5GLUYuRi9GLkYuKigiIiNGLkY0Ri4pRi1GOEYuRi4qJkY0Ri5GLUYuRjAqKEY4Ri5GNEYuKUYvRjhGLkYuKiZGNEYuRi9GLkYwKiYmRjU2IywmRi1GLkYuRjBGLkYtRi5GLiomIiIkRi5GP0YuRjAqJkY/Ri5GL0YuRi5GLi9GLTtGLkkpaW5maW5pdHlHRiU=

O desaparecimento id\303\252ntico de cada coeficiente \303\251 assegurado por equacionar o coeficiente gen\303\251rico nessa soma por zero. Isolando LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLDYlUSJrRidGNUY4LyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGKy9GOVEnbm9ybWFsRic= leva \303\240 equa\303\247\303\243o recursiva LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEtUmVjdXJzaW9uRXFuRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEjOj1GJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUy1GIzYnLUYsNiVRJ2ZhY3RvckYnRjZGOS1GPTYxUTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRJnNlcmlmRicvJSVib2xkR0Y4LyUrZXhlY3V0YWJsZUdGRC9GOlElYm9sZEYnLyUrZm9udHdlaWdodEdGYG9GQkZFRkdGSUZLRk1GTy9GUlEmMC4wZW1GJy9GVUZkby1JKG1mZW5jZWRHRiQ2JC1GIzYnRistRiM2Jy1GLDYlUShpc29sYXRlRidGNkY5RmVuLUZnbzYkLUYjNihGKy1GIzYnLUklbXN1YkdGJDYlLUYjNictRiw2JVEoU3VtbWFuZEYnRjZGOUZlbi1GZ282JC1GIzYlLUYsNiVRI1Q1RidGNkY5Rl1vRkBGQEZdb0ZALUYjNiUtSSNtbkdGJDYkUSIxRidGQEZdb0ZALyUvc3Vic2NyaXB0c2hpZnRHUSIwRictRj02LVEiPUYnRkBGQkZFRkdGSUZLRk1GT0ZRRlQtRmhxNiRGXXJGQEZdb0ZALUY9Ni1RIixGJ0ZARkIvRkZGOEZHRklGS0ZNRk9GY28vRlVRLDAuMzMzMzMzM2VtRictRmdwNiUtRiw2JVEiYUYnRjZGOS1GIzYlLUYsNiVRImtGJ0Y2RjlGXW9GQEZbckZdb0ZARkBGXW9GQEYrRl1vRkBGQEZdb0ZARitGXW9GQEYrRl1vRkBGK0Zdb0ZA

LyZJImFHNiI2I0kia0dGJSwkKiomRiQ2IywmRiciIiJGLSEiIkYtLChGJ0YtIiIkRi5JImNHRiVGLUYtLCZGJ0YtRjFGLUYuLCgqJiIiI0YtRjFGLUYtKiZGNUYtRidGLUYtRi1GLkYuRi4=

Sem alguns dos softwares ferramenta dispon\303\255veis, o estudante que resolve essa equa\303\247\303\243o recorrente deve considerar separadamente as duas recurs\303\265es correspondentes \303\240s duas ra\303\255zes indiciais, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= e 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. Para cada, a recurs\303\243o \303\251 usada para gerar uma sequ\303\252ncia de termos dos quais um padr\303\243o geral deve ser deduzido. Em vez disso, exploraremos o uso do comando rsolve do Maple, o solucionador designado por equa\303\247\303\265es recursivas. Infelizmente, esse solucionador usa nota\303\247\303\243o de fun\303\247\303\243o, n\303\243o nota\303\247\303\243o subescrita, pelo que sabemos. Portanto, escrevemos: 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

Ly1JInVHNiI2I0kia0dGJSwkKiotRiQ2IywmRiciIiJGLSEiIkYtLChGJ0YtIiIkRi5JImNHRiVGLUYtLCZGJ0YtRjFGLUYuLCgqJiIiI0YtRjFGLUYtKiZGNUYtRidGLUYtRi1GLkYuRi4=

Avaliando essa equa\303\247\303\243o para cada raiz indicial d\303\241 as recurs\303\265es 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

Ly1JInVHNiI2I0kia0dGJSwkKiotRiQ2IywmRiciIiJGLSEiIkYtLCZGJ0YtIiIkRi5GLUYnRi4sJkYtRi4qJiIiI0YtRidGLUYtRi5GLg==

Ly1JInVHNiI2I0kia0dGJSwkKiwjIiIiIiIjRistRiQ2IywmRidGK0YrISIiRissJiomRixGK0YnRitGKyIiJkYwRissJkYyRitGK0YrRjBGJ0YwRjA=

Essas solu\303\247\303\265es s\303\243o, respectivamente, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEjVTBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZTLUYjNictRiw2JVEncnNvbHZlRidGNkY5LUY9NjFRMCZBcHBseUZ1bmN0aW9uO0YnLyUnZmFtaWx5R1Emc2VyaWZGJy8lJWJvbGRHRjgvJStleGVjdXRhYmxlR0ZEL0Y6USVib2xkRicvJStmb250d2VpZ2h0R0Zgb0ZCRkVGR0ZJRktGTUZPL0ZSUSYwLjBlbUYnL0ZVRmRvLUkobWZlbmNlZEdGJDYkLUYjNigtRiw2JVEjUTBGJ0Y2RjktRj02LVEiLEYnRkBGQi9GRkY4RkdGSUZLRk1GT0Zjby9GVVEsMC4zMzMzMzMzZW1GJy1GIzYnLUYsNiVRInVGJ0Y2RjlGZW4tRmdvNiQtRiM2JS1GLDYlUSJrRidGNkY5Rl1vRkBGQEZdb0ZARitGXW9GQEZARl1vRkBGK0Zdb0ZARitGXW9GQC1GPTYtUSI6RidGQEZCRkVGR0ZJRktGTUZPRlFGVEZdb0ZALUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEjVTFGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZTLUYjNictRiw2JVEncnNvbHZlRidGNkY5LUY9NjFRMCZBcHBseUZ1bmN0aW9uO0YnLyUnZmFtaWx5R1Emc2VyaWZGJy8lJWJvbGRHRjgvJStleGVjdXRhYmxlR0ZEL0Y6USVib2xkRicvJStmb250d2VpZ2h0R0Zgb0ZCRkVGR0ZJRktGTUZPL0ZSUSYwLjBlbUYnL0ZVRmRvLUkobWZlbmNlZEdGJDYkLUYjNigtRiw2JVEjUTFGJ0Y2RjktRj02LVEiLEYnRkBGQi9GRkY4RkdGSUZLRk1GT0Zjby9GVVEsMC4zMzMzMzMzZW1GJy1GIzYnLUYsNiVRInVGJ0Y2RjlGZW4tRmdvNiQtRiM2JS1GLDYlUSJrRidGNkY5Rl1vRkBGQEZdb0ZARitGXW9GQEZARl1vRkBGK0Zdb0ZARitGXW9GQC1GPTYtUSI6RidGQEZCRkVGR0ZJRktGTUZPRlFGVEZdb0ZALUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNihGKy1GIzYnLUYsNiVRInVGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYxUTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRJnNlcmlmRicvJSVib2xkR0Y6LyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjxRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRksvJSZmZW5jZUdGSS8lKnNlcGFyYXRvckdGSS8lKXN0cmV0Y2h5R0ZJLyUqc3ltbWV0cmljR0ZJLyUobGFyZ2VvcEdGSS8lLm1vdmFibGVsaW1pdHNHRkkvJSdhY2NlbnRHRkkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0Zobi1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRImtGJ0Y4RjtGRy9GPFEnbm9ybWFsRidGY29GR0Zjby1GPzYtUSI9RidGY29GTkZQRlJGVEZWRlhGWi9GZ25RLDAuMjc3Nzc3OGVtRicvRmpuRmlvLUYsNiVRI1UwRidGOEY7RkdGY29GK0ZHRmNvLUY/Ni1RIjtGJ0Zjb0ZOL0ZRRjpGUkZURlZGWEZaRmZuRmpvRkdGY28=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNihGKy1GIzYnLUYsNiVRInVGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYxUTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRJnNlcmlmRicvJSVib2xkR0Y6LyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjxRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRksvJSZmZW5jZUdGSS8lKnNlcGFyYXRvckdGSS8lKXN0cmV0Y2h5R0ZJLyUqc3ltbWV0cmljR0ZJLyUobGFyZ2VvcEdGSS8lLm1vdmFibGVsaW1pdHNHRkkvJSdhY2NlbnRHRkkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0Zobi1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRImtGJ0Y4RjtGRy9GPFEnbm9ybWFsRidGY29GR0Zjby1GPzYtUSI9RidGY29GTkZQRlJGVEZWRlhGWi9GZ25RLDAuMjc3Nzc3OGVtRicvRmpuRmlvLUYsNiVRI1UxRidGOEY7RkdGY29GK0ZHRmNvRitGR0Zjbw==

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

Ly1JInVHNiI2I0kia0dGJSwkKjAiIiQiIiIpISIiRidGKykiIiMsJEYnRi1GKywmKiZGL0YrRidGK0YrRipGLUYtLCZGK0YtKiYiIiVGKylGJ0YvRitGK0YtLUkmR0FNTUFHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IywmRidGK0YrRitGLS1GJDYjIiIhRitGKw==

Uma inspe\303\247\303\243o cuidadosa dos primeiros resultados mostra que 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 Isso \303\251 claro de 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

LCQqJiIiIyIiIi1JInVHNiI2IyIiIUYlRiU=

LCQqJiMiIiIiIiRGJS1JInVHNiI2IyIiIUYlRiU=

IiIh

O segundo resultado gera os coeficientes 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

LUkidUc2IjYjIiIh

LCQqJiMiIiIiIiNGJS1JInVHNiI2IyIiIUYlRiU=

LCQqJiMiIiIiI1NGJS1JInVHNiI2IyIiIUYlRiU=

LCQqJiMiIiIiJSFvIkYlLUkidUc2IjYjIiIhRiUhIiI=

LCQqJiMiIiIiJj8uJUYlLUkidUc2IjYjIiIhRiVGJQ==

LCQqJiMiIiIiJ1NxKSlGJS1JInVHNiI2IyIiIUYlISIi

cujo padr\303\243o n\303\243o \303\251 imediatamente \303\263bvio. A Tabela 1 cont\303\251m as primeiras rela\303\247\303\265es individuais geradas pela recurs\303\243o. 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

Ly1JInVHNiI2IyIiIiwkKiYjRiciIiNGJy1GJDYjIiIhRidGJw==

Ly1JInVHNiI2IyIiIywkKiYjIiIiIiM/RistRiQ2I0YrRitGKw==

Ly1JInVHNiI2IyIiJCwkKiYjIiIiIiNVRistRiQ2IyIiI0YrISIi

Ly1JInVHNiI2IyIiJSwkKiYjIiIiIiNDRistRiQ2IyIiJEYrISIi

Ly1JInVHNiI2IyIiJiwkKiYjIiIiIiNBRistRiQ2IyIiJUYrISIi

Ly1JInVHNiI2IyIiJywkKiYjIiIoIiRjIiIiIi1GJDYjIiImRi0hIiI=

Tablela 1 Recurs\303\265es para 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 A tabela 1 mostra que 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 \303\251 dado em termos de 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 como um produto dos fatores de 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 aparecendo no lado direito de cada uma das equa\303\247\303\265es exemplificadas na tabela. Portanto, 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 poderia ser dado pelo produto dos fatores 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

LCQqKiMiIiIiIiNGJSwmKiZGJkYlSSJrRzYiRiVGJSIiJiEiIkYlLCZGKEYlRiVGJUYsRilGLEYs

isso \303\251, por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEpdW5hc3NpZ25GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYxUTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRJnNlcmlmRicvJSVib2xkR0Y4LyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjpRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRkkvJSZmZW5jZUdGRy8lKnNlcGFyYXRvckdGRy8lKXN0cmV0Y2h5R0ZHLyUqc3ltbWV0cmljR0ZHLyUobGFyZ2VvcEdGRy8lLm1vdmFibGVsaW1pdHNHRkcvJSdhY2NlbnRHRkcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0Zmbi1JKG1mZW5jZWRHRiQ2JC1GIzYnRistRiM2Jy1GPTYtUSInRicvRjpRJ25vcm1hbEYnRkxGTkZQRlJGVEZWRlgvRmVuUSwwLjExMTExMTFlbUYnRmduLUYsNiVRIm5GJ0Y2RjlGYG9GRUZjb0YrRkVGY29GY29GRUZjb0YrRkVGY28tRj02LVEiO0YnRmNvRkwvRk9GOEZQRlJGVEZWRlhGWi9GaG5RLDAuMjc3Nzc3OGVtRidGRUZjbw==LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEjdW5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZTLUYjNictRiw2JVEmdmFsdWVGJ0Y2RjktRj02MVEwJkFwcGx5RnVuY3Rpb247RicvJSdmYW1pbHlHUSZzZXJpZkYnLyUlYm9sZEdGOC8lK2V4ZWN1dGFibGVHRkQvRjpRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRmBvRkJGRUZHRklGS0ZNRk8vRlJRJjAuMGVtRicvRlVGZG8tSShtZmVuY2VkR0YkNiQtRiM2J0YrLUYjNigtSSttdW5kZXJvdmVyR0YkNictRj02L1EqJlByb2R1Y3Q7RicvJStmb3JlZ3JvdW5kR1EuWzE0NCwxNDQsMTQ0XUYnRkAvSSttc2VtYW50aWNzR0YkUSZpbmVydEYnRkJGRS9GSEY4RkkvRkxGOC9GTkY4Rk9GY28vRlVRLDAuMTY2NjY2N2VtRictRiM2Jy1GLDYlUSJrRidGNkY5LUY9Ni1RIj1GJ0ZARkJGRUZHRklGS0ZNRk9GUUZULUkjbW5HRiQ2JFEiMUYnRkBGXW9GQC1GLDYlUSJuRidGNkY5Rk8vJSxhY2NlbnR1bmRlckdGREYrLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSQ1LjBGJy8lJmRlcHRoR0Zkci8lKmxpbmVicmVha0dRJWF1dG9GJy1GLDYlUSJQRidGNkY5Rl1vRkBGK0Zdb0ZARkBGXW9GQEYrRl1vRkBGK0Zdb0ZALUY9Ni1RIjpGJ0ZARkJGRUZHRklGS0ZNRk9GUUZURl1vRkA=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNihGKy1GIzYnLUYsNiVRInVGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYxUTAmQXBwbHlGdW5jdGlvbjtGJy8lJ2ZhbWlseUdRJnNlcmlmRicvJSVib2xkR0Y6LyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjxRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRksvJSZmZW5jZUdGSS8lKnNlcGFyYXRvckdGSS8lKXN0cmV0Y2h5R0ZJLyUqc3ltbWV0cmljR0ZJLyUobGFyZ2VvcEdGSS8lLm1vdmFibGVsaW1pdHNHRkkvJSdhY2NlbnRHRkkvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0Zobi1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYsNiVRIm5GJ0Y4RjtGRy9GPFEnbm9ybWFsRidGY29GR0Zjby1GPzYtUSI9RidGY29GTkZQRlJGVEZWRlhGWi9GZ25RLDAuMjc3Nzc3OGVtRicvRmpuRmlvLUYsNiVRI3VuRidGOEY7RkdGY29GK0ZHRmNvRitGR0Zjbw==

Ly1JInVHNiI2I0kibkdGJSwkKiwjIiIkIiIlIiIiKSMhIiIiIiMsJkYnRi1GLUYtRi0tSSZHQU1NQUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjLCZGJ0YtI0YrRjFGMEYtLUY0NiMsJkYnRi1GOkYtRjAtRjQ2I0YyRjBGMA==

Desse modo, determinamos que a solu\303\247\303\243o geral da equa\303\247\303\243o diferencial \303\251 uma combina\303\247\303\243o linear de um polin\303\264mio finito (de fato, quadr\303\241tico) e uma s\303\251rie de Taylor multiplicada por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtc3FydEdGJDYjLUYsNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGKy9GOVEnbm9ybWFsRic=. Uma s\303\251rie solu\303\247\303\243o completa mesmo uma equa\303\247\303\243o linear de segunda ordem claramente toma uma quantidade consider\303\241vel de habilidade manipuladora se a solu\303\247\303\243o for gerada manualmente usando algoritmos cl\303\241ssicos. Vamos ver como o Maple pode providenciar a solu\303\247\303\243o completa com o m\303\255nimo de esfor\303\247o da parte do usu\303\241rio.

Dada a equa\303\247\303\243o diferencial LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNkZUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==

LCgqKCIiIyIiIkkieEc2IkYlLUklZGlmZkclKnByb3RlY3RlZEc2JC1GKTYkLUkieUdGJzYjRiZGJkYmRiVGJSomLCZGJUYlRiZGJUYlRixGJUYlKiZGJEYlRi5GJSEiIg==

mostramos como o Maple fornece os pontos singulares via 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

NiQvSShyZWd1bGFyRzYiPCMiIiEvSSppcnJlZ3VsYXJHRiU8I0kpaW5maW5pdHlHJSpwcm90ZWN0ZWRH

No ponto regular singular LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=, a equa\303\247\303\243o diferencial possui um conjunto fundamental consistindo de ao menos uma s\303\251rie da forma LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJZRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjhRJ25vcm1hbEYnRitGOkY9

LUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJiZJImFHRic2I0kia0dGJyIiIilJInhHRicsJkYtRi5JImNHRidGLkYuL0YtOyIiIUkpaW5maW5pdHlHRiU=

Para determinar os valores apropriados para o par\303\242metro LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, temos 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

LywmKiQpSSJ4RzYiIiIjIiIiRikqJiNGKUYoRilGJkYpISIiIiIh

a gera\303\247\303\243o autom\303\241tica da equa\303\247\303\243o indicial cujas ra\303\255zes s\303\243o claramente LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JJm1mcmFjR0YkNigtSSNtbkdGJDYkUSIxRidGOS1GUzYkUSIyRidGOS8lLmxpbmV0aGlja25lc3NHRlUvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGZ24vJSliZXZlbGxlZEdGPS1GLDYjUSFGJ0Y5. Maple ainda classifica os pontos como hipergeom\303\251trico, racional, ou polinomial (respectivamente) com o comando 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

NyU8JCIiIUkzYW55X29yZGluYXJ5X3BvaW50RzYiPCQhIiJGJDwjRig=

Pontos hipergeom\303\251tricos s\303\243o aqueles cujos coeficientes nas solu\303\247\303\265es s\303\251rie obedecem equa\303\247\303\265es lineares recursivas. Consequentemente, no ponto regular singular LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=, um conjunto fundamental de solu\303\247\303\265es para a equa\303\247\303\243o diferencial pode ser gerado pelo comando do Maple 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

NyQsKCIiIkYkKiYiIiNGJEkieEc2IkYkRiQqJiNGJCIiJEYkKUYnRiZGJEYkLCQqKEYrRiQpRicjRiRGJkYkLUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YoNiQqMCkhIiJJIm5HRihGJClGJiwkRjpGOUYkLUkmR0FNTUFHRjM2IywmRjpGJEYkRiRGOSwmKiZGJkYkRjpGJEYkRiRGJEY5LCZGQkYkRiRGOUY5LCZGK0Y5RkJGJEY5KUYnRjpGJC9GOjsiIiFJKWluZmluaXR5R0Y0RiRGJA==

Desse modo, recuperamos todas as informa\303\247\303\265es da se\303\247\303\243o anterior, exeto pelas equa\303\247\303\265es recorrentes satisfeitas pelos coeficientes das s\303\251ries solu\303\247\303\243o. Antes de vermos como o Maple poderia nos fornecer essas recurs\303\265es, primeiro temos que ter certeza que a s\303\251rie solu\303\247\303\243o dada aqui concorda com os resultados das se\303\247\303\243o anterior onde encontramos o seguinte coeficiente geral LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSN1bkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==

LCQqLCMiIiQiIiUiIiIpIyEiIiIiIywmSSJuRzYiRidGJ0YnRictSSZHQU1NQUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGLjYjLCZGLUYnI0YlRitGKkYnLUYwNiMsJkYtRidGNkYnRiotRjA2I0YsRipGKg==

(As solu\303\247\303\265es polinomiais s\303\243o claramente as mesmas.) Para come\303\247ar a compara\303\247\303\243o das duas s\303\251ries solu\303\247\303\243o, priemiro extra\303\255mosa nova solu\303\247\303\243o via 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

LCQqKCIiJCIiIilJInhHNiIjRiUiIiNGJS1JJFN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGKDYkKjApISIiSSJuR0YoRiUpRiosJEY0RjNGJS1JJkdBTU1BR0YtNiMsJkY0RiVGJUYlRjMsJiomRipGJUY0RiVGJUYlRiVGMywmRjxGJUYlRjNGMywmRiRGM0Y8RiVGMylGJ0Y0RiUvRjQ7IiIhSSlpbmZpbml0eUdGLkYlRiU=

e ent\303\243o selecionamos o somat\303\263rio com 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

KjApISIiSSJuRzYiIiIiKSIiIywkRiVGJEYnLUkmR0FNTUFHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IywmRiVGJ0YnRidGJCwmKiZGKUYnRiVGJ0YnRidGJ0YkLCZGM0YnRidGJEYkLCYiIiRGJEYzRidGJClJInhHRiZGJUYn

Infelezmente, essa express\303\243o cont\303\251m vari\303\241veis "locais" que modificamos com 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

KjApISIiSSJuRzYiIiIiKSIiIywkRiVGJEYnLUkmR0FNTUFHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IywmRiVGJ0YnRidGJCwmKiZGKUYnRiVGJ0YnRidGJ0YkLCZGM0YnRidGJEYkLCYiIiRGJEYzRidGJClJInhHRiZGJUYn

Uma vez que queremos comparar as express\303\265es para os coeficientes de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3VwR0YkNiUtRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLDYlUSJuRidGNUY4LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrL0Y5USdub3JtYWxGJw== nas duas vers\303\265es das s\303\251ries que geramos, escrevemos 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

Ki4pISIiSSJuRzYiIiIiKSIiIywkRiVGJEYnLUkmR0FNTUFHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiY2IywmRiVGJ0YnRidGJCwmKiZGKUYnRiVGJ0YnRidGJ0YkLCZGM0YnRidGJEYkLCYiIiRGJEYzRidGJA==

e comparamos via a raz\303\243o 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

IyIiIiIiJA==

Portanto, as duas vers\303\265es das s\303\251ries solu\303\247\303\243o diferem por somente um m\303\272ltiplo constante, e ent\303\243o conclu\303\255mos que ambas as s\303\251ries solu\303\247\303\243o s\303\243o essencialmente as mesmas. O item final que o algoritmo cl\303\241ssico fornece \303\251 a rela\303\247\303\243o recorrente satisfeita pelos coeficientes nas s\303\251ries solu\303\247\303\243o. Os comandos do Maple 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

LCYqJiwmIiIjISIiSSJuRzYiIiIiRiktSSJ1R0YoNiNGJ0YpRikqJiwoKiYiIiRGKUYnRilGKUYpRikqJkYlRikpRidGJUYpRilGKS1GKzYjLCZGJ0YpRilGKUYpRik=

LUkqRlBTc3RydWN0RzYiNiQsJiZJI19DR0YkNiMiIiEiIiItSSRTdW1HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2JComLUkidUdGJDYjSSJuR0YkRispSSJ4R0YkRjZGKy9GNjtGK0kpaW5maW5pdHlHRi9GKywmKiYsJkY2ISIiKiYiIiNGKylGNkZBRitGK0YrRjNGK0YrKiYsJiIiJEY/RjZGK0YrLUY0NiMsJkY2RitGK0Y/RitGKw==

ambos fornecem somente uma rela\303\247\303\243o recursiva cada. Infelizmente, ambos s\303\243o para as s\303\251ries com raiz indicial LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=, como vemos pelas solu\303\247\303\265es 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

e 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

Obtendo a equa\303\247\303\243o recursiva para a raiz indicial 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 que ser\303\241 considerada a seguir.

A equa\303\247\303\243o recursiva para uma equa\303\247\303\243o diferencial pode ser obtida por uma t\303\251cnica efetiva que aparece no The Maple Flight Manual (Ellis, Lodi, Johnson, Schwalbe, 1992, Brooks/Cole). Por causa das limita\303\247\303\265es do Maple em lidar com somas infinitas, substitui-se a soma infinita por uma soma finita da forma 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 onde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEic0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjFGJy9GOVEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YrRj8= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEic0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjJGJy9GOVEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YrRj8= s\303\243o inteiros positivos dependentes de problema que garantem que a soma expanda bastantes termos para adquirir todas as contribui\303\247\303\265es relevantesdos coeficientes na equa\303\247\303\243o diferencial. Na equa\303\247\303\243o diferencial LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNkZUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==

LCgqKCIiIyIiIkkieEc2IkYlLUklZGlmZkclKnByb3RlY3RlZEc2JC1GKTYkLUkieUdGJzYjRiZGJkYmRiVGJSomLCZGJUYlRiZGJUYlRixGJUYlKiZGJEYlRi5GJSEiIg==

substitu\303\255mos 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

LUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJiZJImFHRic2I0kibkdGJyIiIilJInhHRicsJkYtRi5JImNHRidGLkYuL0YtOywmSSJrR0YnRi4iIiMhIiIsJkY2Ri5GN0Yu

para obter 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

Escrevendo isso como um polin\303\264mio e extraindo todos os termos em 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 leva a 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

LDIqKCZJImFHNiI2I0kia0dGJiIiIilJInhHRiYsKEYoRilJImNHRiZGKUYpISIiRilGLUYpRi4qKEYkRilGKkYpRihGKUYuKioiIiNGKUYqRilGJEYpKUYtRjFGKUYpKipGMUYpRipGKUYkRikpRihGMUYpRikqLCIiJUYpRipGKUYkRilGKEYpRi1GKUYpKihGKkYpJkYlNiMsJkYoRilGKUYuRilGKEYpRikqKEYqRilGOEYpRi1GKUYpKigiIiRGKUY4RilGKkYpRi4=

do qual obtemos a recurs\303\243o 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

LyZJImFHNiI2I0kia0dGJSwkKiomRiQ2IywmRiciIiJGLSEiIkYtLChGJ0YtIiIkRi5JImNHRiVGLUYtLCZGJ0YtRjFGLUYuLCgqJiIiI0YtRjFGLUYtKiZGNUYtRidGLUYtRi1GLkYuRi4=

de acordo com LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUS1SZWN1cnNpb25FcW5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GOFEnbm9ybWFsRidGK0Y6Rj0=

LyZJImFHNiI2I0kia0dGJSwkKiomRiQ2IywmRiciIiJGLSEiIkYtLChGJ0YtIiIkRi5JImNHRiVGLUYtLCZGJ0YtRjFGLUYuLCgqJiIiI0YtRjFGLUYtKiZGNUYtRidGLUYtRi1GLkYuRi4=

obtido anteriormente.

Em uma variedade de maneiras, o Maple pode fornecer a solu\303\247\303\243o de uma equa\303\247\303\243o diferencial como uma s\303\251rie truncada. Primeiramente, temos 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

Ly1JInlHNiI2I0kieEdGJSwmKihJJF9DMUdGJSIiIilGJyNGKyIiI0YrKzFGJ0YrIiIhRi1GKyNGKyIjU0YuIyEiIiIlIW8iIiIkI0YrIiY/LiUiIiUjRjQiJ1NxKSkiIiYtSSJPRyUqcHJvdGVjdGVkRzYjRisiIidGK0YrKiZJJF9DMkdGJUYrKytGJ0YrRjBGLkYrI0YrRjZGLkY9RkFGK0Yr

Nessa forma, uma expans\303\243o truncada da solu\303\247\303\243o geral, n\303\243o \303\251 claro que que o termo sem o fator LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtc3FydEdGJDYjLUYsNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGKy9GOVEnbm9ybWFsRic= \303\251 atualmente um polin\303\264mio. Alternativamente, temos 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

NyQrK0kieEc2IiIiIiIiISIiI0YmI0YmIiIkRigtSSJPRyUqcHJvdGVjdGVkRzYjRiYiIicqJilGJCNGJkYoRiYrMUYkRiZGJ0YyRiYjRiYiI1NGKCMhIiIiJSFvIkYqI0YmIiY/LiUiIiUjRjciJ1NxKSkiIiZGK0YvRiY=

com a solu\303\247\303\243o geral substitu\303\255da por aproxima\303\247\303\265es aos membros do conjunto fundamental. Dado cada recurs\303\243o 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

Ly1JInVHNiI2I0kia0dGJSwkKiotRiQ2IywmRiciIiJGLSEiIkYtLCZGJ0YtIiIkRi5GLUYnRi4sJkYtRi4qJiIiI0YtRidGLUYtRi5GLg==

Ly1JInVHNiI2I0kia0dGJSwkKiwjIiIiIiIjRistRiQ2IywmRidGK0YrISIiRissJiomRixGK0YnRitGKyIiJkYwRissJkYyRitGK0YrRjBGJ0YwRjA=

o comando rectoproc escreve um processo cujos valores s\303\243o membros da sequ\303\252ncia satisfazendo a recurs\303\243o. Desse modo, temos os procedimentos 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 que geram os respectivos membros 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

NikmSSNfQ0c2IjYjIiIhLCQqJiIiIyIiIkYjRitGKywkKiYjRisiIiRGK0YjRitGK0YnRidGJ0Yn

NikmSSNfQ0c2IjYjIiIhLCQqJiMiIiIiIiNGK0YjRitGKywkKiYjRisiI1NGK0YjRitGKywkKiYjRisiJSFvIkYrRiNGKyEiIiwkKiYjRisiJj8uJUYrRiNGK0YrLCQqJiNGKyInU3EpKUYrRiNGK0Y1LCQqJiNGKyIpPyRvKD5GK0YjRitGKw==

Note que em cada caso, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRidGKy1JJW1zdWJHRiQ2JS1GLDYlUSNfQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjBGJy9GOVEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdGPkYrRj8= \303\251 usado como valor inicial na sequ\303\252ncia. N o caso de um comando tal como 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

NiQvLUkieUc2IjYjSSJ4R0YmLCgqJkkkX0MxR0YmIiIiLUkqZmFjdG9yaWFsRyUqcHJvdGVjdGVkRzYjIiIhISIiRiwqKiIiI0YsRitGLCwmRixGLEYoRixGLC1GLjYjRixGMkYyKihGK0YsKUY1RjRGLC1GLjYjRjRGMkYyL0YkLChGK0YsKihGNEYsRitGLEYoRixGLCooI0YsIiIkRixGK0YsKUYoRjRGLEYs

n\303\243o produz duas s\303\251ries sobre LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk= de modo que 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

NyQsJCooIiIkIiIiKUkieEc2IiNGJiIiI0YmLUkkU3VtRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YpNiQqMCkhIiJJIm5HRilGJilGKywkRjVGNEYmLUkmR0FNTUFHRi42IywmRjVGJkYmRiZGNCwmRiZGJiomRitGJkY1RiZGJkY0LCZGPUYmRiZGNEY0LCZGJUY0Rj1GJkY0KUYoRjVGJi9GNTsiIiFJKWluZmluaXR5R0YvRiZGJiwoRiZGJiomRitGJkYoRiZGJiomI0YmRiVGJilGKEYrRiZGJg==

produz, o Research Fellow Dr. Edgardo Cheb-Terab do Maple sugere usar 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

Ly1JInlHNiI2I0kieEdGJSwmKihJJF9DMUdGJSIiIilGJyNGKyIiI0YrKzFGJ0YrIiIhRi1GKyNGKyIjU0YuIyEiIiIlIW8iIiIkI0YrIiY/LiUiIiUjRjQiJ1NxKSkiIiYtSSJPRyUqcHJvdGVjdGVkRzYjRisiIidGK0YrKiZJJF9DMkdGJUYrKytGJ0YrRjBGLkYrI0YrRjZGLkY9RkFGK0Yr

para determinar que existe uma solu\303\247\303\243o da forma 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. Para encontrar 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, fa\303\247a a mudan\303\247a de vari\303\241veis 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 via 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

LCgqKCIiIyIiIkkieEc2IkYlLCgqKCNGJSIiJUYlKUYmIyIiJEYkISIiLUkiZ0dGJzYjRiZGJUYvKiYpRiYjRiVGJEYvLUklZGlmZkclKnByb3RlY3RlZEc2JEYwRiZGJUYlKiZGNEYlLUY3NiRGNkYmRiVGJUYlRiUqJiwmRiVGJUYmRiVGJSwmKihGNUYlRjRGL0YwRiVGJSomRjRGJUY2RiVGJUYlRiUqKEYkRiVGNEYlRjBGJUYv

e extraia 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

LCoqJiIiJCIiIi1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJnRzYiNiNJInhHRixGLkYlRiUqKCIiI0YlRi5GJS1GJzYkRiZGLkYlRiUqJiNGJEYwRiVGKkYlISIiKiZGLkYlRiZGJUYl

do qual chegamos \303\240 conclus\303\243o 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

LCYqJiwmKiYiIiMiIiJJImtHNiJGJ0YnIiIkISIiRictSSJ2R0YpNiNGKEYnRicqJiwoKiYiIzVGJ0YoRidGJyIiJ0YnKiYiIiVGJylGKEYmRidGJ0YnLUYtNiMsJkYoRidGJ0YnRidGJw==

e essa solu\303\247\303\243o 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

LCQqMCIiJCIiIikhIiJJImtHNiJGJSkiIiMsJEYoRidGJSwmKiZGK0YlRihGJUYlRiRGJ0YnLCZGJUYnKiYiIiVGJSlGKEYrRiVGJUYnLUkmR0FNTUFHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRik2IywmRihGJUYlRiVGJy1JInZHRik2IyIiIUYlRiU=

que compara favoravelmente com LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNVMUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==

LCQqMCIiJCIiIikhIiJJImtHNiJGJSkiIiMsJEYoRidGJSwmKiZGK0YlRihGJUYlRiRGJ0YnLCZGJUYnKiYiIiVGJSlGKEYrRiVGJUYnLUkmR0FNTUFHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRik2IywmRihGJUYlRiVGJy1JInVHRik2IyIiIUYlRiU=

a recurs\303\243o encontrada anteriormente para a raiz indicial 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.

yIpyIr<K_Tn^T^;N:L`^C:yIu@K\\PqkhpvF:CZ:N;xYqo[;_fiOf_CS;P:FZyYUCND<KB`KC`kMXkEXLSTlITLStLMTLMTLQtmTPmTP]x^b;Gb;GBLN\\LN\\::::FZOF]S>^V>^`>]Rn^pn^Zn^p^bpV_en`>_b>OboNb>_b>_B:::::ry;pB\\ZKa:AR:?K;@k:HjB@jyMfOL;Hj:@J:B::FZ<^Z?VZ@FZ;FZ;J:B::F:AB;[j:LZ>VZ?nZ=nZ@NZ<V:@J:@K;HjJ@MCLjZ@o<@prDlCLk:AsJAuZEmbENc<yjEPsHlD@Y;EsSLM=HNLDTSEv;QmB@J:DJ;Dj:LJ;Dj;V:<J:FZKNZLF^=F`;Gd\\N`[Gh;PbKPdMFnk`ZyQUSr:=J;@k;@K:x]pIgd?[PPcgplcGba?d@?nm`yniq=WoBGtNI\\b`_iAdY@oDg_[@o]>dSoyuwnainPvqbX^JKwlMtETgeK;Qm<xsmITdil^pp@HNGQm<xSoAKoEk?]Po\\JdUky\\t]\\T_p<aeK=WmIexCFicibdm=MMolKeYQNYNNo`bOwVFtbXhSoq[p]_@_SinfXh@GpGqftajHhvon`cWwVFtfXhSoq_x_LOmU``oqkbots^oIQdIPdT<jYEoAkTPMA]@^dI`dTpnGic]Omonkew_Oi^dYlMofhHpGQ]Ai`QPwLhxCGomxdRovGXfTXsoA_oIcd`wNqtsVnRovlhyDgaDOgf_tP=NdwNdd_gN=bLAEVMTjecGM]MatPffU@oLq]aW\\NpbeOawirpXsPWpIFvCPeAI[Pxfrvj^`tK>oiV_aaeyNxEouLgxqw[vijeoylvmnyjd`tK>OUSy?XvmiyObFOyp=F[CE=WFJYV\\SyMkIsyGwIvdgXHA_jpxWYbFAk>Nw]V`LxwdylwNeSYofXh@kldYLqUcd`OqtsVNDuXIoKQWuhtNIue:OxHcg]UYGUSeSwVG\\^OynPi^`tppprXx@?qmIe=vhDXfqOkdopPytX>gPmIUoAUOGUSeUwVHDNdwJEQWea=fYucLov`e;rect]ttLQuttRnXWIhpMPwLexcEOgeykqVGHx`MPwLUwLUdUUY]usU>tkPyMedCgXHjxDoXBUghom;pUcb`qnttbP=NmUh@:beGWmutRoVGV_OY^Oq^`hsW;ZcFom<VSKTwMTdHOfTx@cleYLoIccXpMGeaeKfFdQL;:LSdaG:cfXC?:LtXs`e;:dC:JDmpdUGNP_L_@oSYOf:\\ntobGiEP=v^dQlQpf`HpGQ=eS_Oy^eYDGTmU<v?ASoEs@eSGW>xUcB_SEog@fYDobHuc\\_Gl_G_t_nNudS?P`N<M_@;C?qtOkdsbl`n@iVMQtTQQ<PWGtTdut[PLMLk_PlI]uOTnfllpEV[`THMkZlvMUPv<qZ`v=QUcDr>\\M<XnIMLf=U\\XMl=Rf@tHIM;EM\\TTnIJ?QKTYl[LsfmJOEkfTTfUt:EKBaLSQrCQK\\evfPjb`kg]kI@k;pu]Lwe=SBYYPiqPYM^tV_XY_`wGTXp^gxWg^XvKv\\fnbMW`JwqTIl_vhpHn?^rZIqppcL_hSQ^Bh]aVbp>_GIZDxchic`nvbpcrWnKObl^bHFsL>dBiaBHjDycGa[Fht;FlBo]bWZDOZ@vcnFaB>c?>b^qvX`nYPjU^\\N_m^`fA`h_OmcFq=_lNXv^Pfk?dDg\\DQgpng]xd<xoN>yXHZN_uiy^y^Z;_jrFvChd?AtB@fRo_RHvxGeVhqPh`kN`_^vmO_@fr:iuMFlDn^?Qu[vjMg`Fisl_lQY]hVt:prA?^o@ceifTAhR>s^yahO[oNbQg]ZVqwQtaYyNHgb@uZYf\\^iLOyqg_T@_GHb<Xxpifmwo]pokFdagcx_dRG_tP\\JX[GvZ_n[M`nOn[L_aL^tm?cZHv<H_Ch^b`lVNZKO[cHmZ>s_Hm;_r\\@mK@b_^_<@aZf`cNg?ab`_mm?boQf_@obH_bnj^OsH_dD?ab>slFdNadDPjdh`NNa?o^OwcLg`NVp<GnCp]B^tLWb\\h^b@xIGdJowF?_CPwGOsI`ZSAboY^Q_`LpfKg[KIo?O[@`^RHl\\AnR`bBWc<PiDXjc`fZHlbNhL`g\\xjb^hm>nZ?\\;V`^nqcOnMnl?Q]Lxsw`@Csb]TlmrbCs:cV@cbR]d_KTZ_hFMTascf[D<_cJWR@;CASVnKWvMt^[EbsRbMxJ=CoGBc?BNsHn=fLkHj?IJwUTmEvEC[?vsmwcSh[mB]gfRQi]]C_CSs]SEiGsaV_YxR;eiGrCYy]ChECW?WHXofUms\\AsB=h=KXlmJIDTb`XltRlQU;LNJEkSDnFho;LsWLLAMy@dVghSLtk^XMT<olqMxLsidSj@JieRbewDitidWSUQQQuOiYePLVenfllwEVbUS_PrvmLTEt[Ls_XL?LnSLtK`r\\xKnlKvITNTyDTlvdmphRH@SCup:ljlMW>mN=Tnb@JJTT;lnPAtJLsFQjgLnfPLK<RCLvfLptpJ]auv@qwIpIeqYmuY]vPYVh=q?`juhxAmxlmSwQLhPLlLrK`rLDrtMycpkPENV=YFtslLPtplOISV=SZ]qkxw\\iPqXlZYpSilHeooer@QsPuSKauDDlBmjVeTN@j^DSN\\RHEOOLNS<NOLr^mK_TSnTpZDkFTLc@j=DSKYlRmJLmVK]WO]rSItLLL:QoBLPILVlURkQO\\ho>avFLxLas_hR<<OfAXGIKpaJx@SZTNLLtRPVS`odlMCAL[gcVQpDHowFnKPr?wbKIePPnO_wQ@cK`dGWpBa_Ia]o`]jivwqqgXZVGZQh`LouWxbBFlVIdZvf]ff>HkaO^rIZCAhdx`hwvwY^[n[H^d=QqrIolNwhhgHqsY@eDQdXftPgd=qgCVhcv]tWtlPqdwlQH_DWurnrRvpy?ZVX_^hyoAmpqvqhaoQrA_dd`hcAbrWniF]HiZfob<Gr@xZBhdqVeW^p\\f^]vmTYfYHrjWuWw^LavJPemF^YHpsOxEA_Wxoiwhror`N_cPnNGe[fa[_tlp[uXvkF`jWvk^e\\ViL>a>^rk_wBWvTPt;xs<dH]V=?FM=XxOGc]UDCyH[h;KCH?i\\AD=_T:cHckCBCEtACE[iMst^Ar?]DH?GnmBB;U<Sd]sR^[V:OR:KdscFVIh^]E@Kg^IEGWXLGsKER@uC;CIb?eKOUoaV?atBKFE;Y[]fguhmmX>_SseH\\ovp]XaAWUucOmH=mF<SU?UE?mVLcftGVh]SJMXAQYi_icMF@UXjur\\CVSMRZKs?MVlgdR?EXMnsDO?LQeULfHtsPPThn_Is>YqJHmBPXDDvKHKXPsJYUcuk_`LO`vDHmt@MZexu]laHqU]RsLpG@UgxSmXm]qyJEKCEujlOoXkE<Wv<rVaqwuQsxiDgbIAkSWsRVxjvvShrEvnWxpay_nAoUpxZYaY`xeXdga_gykuQb[^he^lffjfHfLPwRI_gBcshnkBRkVkCE<CUS?v\\wCDmBx;c=KulCrS_VCIFY[Vl;I>?B\\[ra_M?QncupnLX==o\\lJLaxS<t]LkSTPI]Nqdp<dsfTlrpNDENFHTLlqCAMbTlLpkfATrqNVET=aoGeUXaUVWcGWhxHl^_[rovP>xDanR@q`WdfGoR`mmW[lobp>bUw[pXcIiohvlrHgTf^NpqYqvwYwipfqv\\fqsMfsfNpNvv@^_MP`mQq\\@snGuFNn\\@u\\om_?`WvZZAoFGsF^d:@hP`gKFdC_mcHZ@@_PpcO^dl_b;Gsj>]\\GjDP_xYukPgQqxfhobhfgxeTIpevZfflEnrD^yl`dh`Zb`td>\\SNk:w`BHoFGaF_vCoxb>oH`e<VljNhYPg\\>`@WcDwfL@f]N`baj<_cdafZNn\\^s:`\\B@cHP[\\`_<`\\ShdYie^atB_srQbkx\\nVl=y]wwiWHgioprfZXG`mN^k^sPH[gn_ExbU@qPQh:htgAvwXlkyrnYxAOsywg;gc=ggNWgY^lvgdeW[OPgcAfdpfvphnysl`_PPg?_[PPsfVl`ns<h]NGbJ`dBaf:hDCE\\_DDGUJ_j@Pv^Ds`MO\\LrS`lSLLaQoBLpAQLK<KheNNUX`mKJqRf`LFduFHUgLNs\\Kl<SmtQ?XnM@NHxnVQKI\\MLYnTTL^mS_HNYDWOmrRaMNIuuatBHVk=R<HNyQV:DNYdnMlsXeRZTP_Pm=<klYnwlmk<O_IlbxXjeUelm`PVeHUwYs^\\y^qu_yvhQMApwbpvOiw;lpkYuAMpMMY?tWkuO\\TNgISLYUAIN:MxWdNAQV<mThiNJ`nuuLQhN_aqEMsEmmMmok\\ksuLFIySLsyo[L_mpFxZ?]j?k]YymOcsxuy>\\=`r`?aahp^xum^gwim;`g>Q[e`lshZbXwBXkCY^c^m]@]_oQIR:KVQOu]wVCARxwuTCfMkf:qUowW`?bDev[ac\\IyowrSmhnmikuSo=GEyrqwh?eV>SvrKwxgBQYD[wVpQGogvpmGsidUwfYys_WruSFUGyWeYsAgrcrM[DdwuJSYB?UTgsLKdO=EfqVfwTh_hCOgQStYQI_Uu>UbHWidyI:gimyCcGYeeD<[VL=i^aiw?DW]BEEg>gwTcwMYue[gckDoEHXgVfUY`GhSwEpmwy;RVOwIifrcrMXtSDk=lMeMMJlPI=SPuxjqoA@ju=pTutCLskmnq`WFTvuXxbytdtqr<YkejRMqJXu?qVr`XUqJMivaUsLluKPuk\\shxuFEulhvriLDYNHEUwIVUaoa]kkUynpsxIn@xMBHTetxOqtD\\rBQVcpKMlQ[qxTaXsetbEL]lKCYPGDXMlvkDUyao\\xLquPQarn@mutJq]uHPyiHTkQKAdtydthARehtnhMFV_m?]]qdaqkWGqVYvvf`HPy=`j;xkigZXA`volOWy=_cCGa[GxTgeFVwIXkbFoV`b>gfIXoWGi_Y`PHasijKypJnks`fdxcw_dIOuyesQrHOWwmbuSWFMfTAiwIhtOwnagfSxPErDsbYwYMawmsFHEXgugqahSuhbyUdSCG_y<iSc;hLsHOiyH=sgYwOsb:YFM=F_QfVodlAG<Yw>SSWshwWdq?e@ieuMidoDJ_BA=HQuWYysb?qodMT`Rr<VNtjAyLdUKk<QuUSmimYdWEtRwIBtpj`OLAMLLp_YmrHwmXu=aSHaMuutXUL[Epj`vo\\L?mrRAyNtrvtOfXPmqmdXYsUlvOwUVcnVc;?sryjOybmwawQluOdxpZc@a[QvDHwv^yy^]rVvkqoYYcchgK_rpa_Hhn\\vgIq^TWqcFk:As^ObBiurypafqmwr@QdeIuHAeqNygGhhxol^s>VbOhKOioWISCDI[Sr[BgoS[ogG?WfmI\\QrFQeHQyx?Y<iUm]ckeepwcqMfa]UHQE_sYRoTGuDE]EM]XT=h\\iXAGTbGVZwYcQbHeFXkuFsCCeFpydNUV^oGNHs=YjZinpHUSmw^@LnLv>MPPMW[uLD`RFeTEEy]ekFuTiTQsIpK<Ka`J?tTBEx>]qPUyP]Rj=JjYUHuvdEkmYWAeMhEVQEvNYouiLhaONXVAPvJXl^Iqt<MTTX;YX<LukuR^XJ;ArSUpBYv:DSwhNk@r;]rKEm[lJl\\s]ML<InEpNs=X@mV@qkC=nAMmW<PJmpfAd[OkwSEabCADbCRn]TFsRNov^aUNOS;;vJos^]UD_btCBmGFWcigMU?[rFEc`afGKum<T`\\vmLvJisXUmL<Nu@LVUTZDX=MqpPsXyt\\tRSTSO<ULXkFPrPuuQQoaLVkDuext>\\urdVOtOAUk@pvRLum`yWYWUPOWpm`amclLMmkuPRw\\vRtOxDTMqSKupPpV@Nd_ojBPZ@`gNAk^IlDNo>Fanw`HNcgWj?F\\XFe\\Nns^kJau<>i:FrGFkvGtKwfhycsP^of\\bnjvi\\OgubPejHs_gwkY_LG]fNsVPpOg_PosDgo[`tR_dRhrBwJ?sReBDIVkED_ysDMsF=CiOCQ]RCgBUar:EbCMt`oH]?wmoFYcD^KhBABbMG;mVn]rDYrdqdd=HPOxB?iO]YRMfQWttsSpOxSMVCgetQv`giVSia[bQiVbaXs[HUmCmsi;QRmYsSEdYUTFIVtKv<IGU]iQSYWIhGEYV_Uh;vc;sseb>sge_GZsB>]eNGE<YX?mTKmFBqR?SCn?dbUb\\YRCsc^]RWCt@OV@ch]MsfOc]EeG?iawFTkcb;gm?fhCe>EeN[fSUhCeeFAf[Orbmvj;r^OUWucDmSe?CCgW<aSRCXdaw;MT\\;uHeX>Si<?cEYRmSDguEd]Sr[YO[tWxST\\rrama=RcpqMLuL=k]mjdEov=TYHNShSmXJU]N>qJ=Gh?OaE`]O^ihxaHaop_vxVg@@vnfxx?nxAtvhykIxqpgc`vpfkvXvHickidhq]Cv`PvkwPeYpkLngZ^cuw\\JVbQn[HV_HXdlqrwg]]_r<qtTiqkF\\DVesIw:@oa__OIdPqpopjf@cSql<x\\wNdSxta_uPWymNv[PakyoNxy:>[T_[@@kxYfa@unhoJXuNW_\\qsxomoim`Oyw`o>@bOYgrf]cyd`AeoWuqa]USy[GQYIQQUqaH@SwgyvM[R]wf<qh]wdncwC;ypyU__dvUdg@X;qUdmMD@KfYkMITG\\Svxity^]a_W?m`vsd_xNnd^odXVtno`yAZax`?Ig=ooQAdpgthBRirbScFmw_srH]E]?U?oGqEtV[brWXYQWcwU=yVxgTQiWPqwgsTf_sDYtWCeDAglyU>AR;WevIxAYEEeTRgvQUYryVfYrRUwDgiZ?YA]Tt=gsQITGBQ_wxQtnIfocrW_Xnid^_C;SSbCubSfJcht[TCSw]SRCsXdUugwdMSB<EYCyX@ufIwbQsdbASHyI:EwoAw_yfI=tPMyViV`?CXEvnqI]yCMuslgwliEQAYHKH<iWCSvgYw_GFvyqHmvjYQ`tYLuOsMUu@QntjdISV]SUExk\\rLpppIV>PRIyvYHvQyY:xMeyQqpOfPUjTQQik?lUO]jxuNCdxg]ra@VCLXChXIUwYEm>YNQHlXePvlrPdVKDQIevdTtYEM]uxgPy[]nBhJ=TK_aSo]K^HQg<ooYj@doxdvmMR`qxAaRWhyklktdVko_kp^:h]_hhbih@A`mnlDwkPwuQWq]NsF>ZqaleQqjWuvNhY>hfQ___][_kjIfvvvX`aPXydX]^hbkOZw>qO@cUGf[AxMOnbitaFfZ>iO^io?aIVs?FqFPvew[H>iIae?yvuW_Wia;Ao@WrZqk=ojevqA?]Box]HoiGwVydRfdRpr?o_Y`hc^nDifVHoO`s]W\\`ytTFkHYf?A_FOwrpmOYnsXoOOb=?a]_w\\YpdGxTwp:WrO^m`Xpyxfh_qpWwPiiOOqcN\\VHoK@fTQnmxfgVe<XiNowCPn`?^qp__qrv`gUOs\\F`EA_xqsr^cHAi]yloAgoY[o>isG`qijYpdTyhAN[xQym@^fnkZG`OopUIsgws>pjsFk_fgFpbm^si>]aW`V`eCwihGpYVufxZJvoyohyVrhYcuIOChPSCXEfm[elssypXcIM[UPKamximbAO<=JCIuKTTKiQ?XxI\\KtXuEEVOmr^@YB\\oNlrspJuxN]]odpJeplIMujxxfhkZdThUKa=SR\\mDmTYEWFAQ<EjTDpC<qRdJMLnUQLRHjkXRkpRK@jJLWYUWkIOAdW[tN:lKdHNBAQh]R^UpX\\XFulvuR^vZIHrIobwG\\BXvHP_:W`VPs^nwN^jROvFXnFHpF?`?Q`Voh`b;OeBSSL_D:CrvMhGARGgFbkF_qI^yfXUfBWH]cf^=SJsRn_V^GdaOE<]SD;I?KvC;r^<t`LVLyN:LT\\MsfAn@`LAAN^DX:AThDtaerqDRp\\SHPOo@kRLW>XX;=VHMQ^LVrmlXIKPpOxMMhhQfttxIo`AMHAQqPKfdPFmss`rt`XqiPKlLAEOApmOivQPNcmxsUQW]QZ]SyeJuYVEPqaMM\\TMndL]PlbmWViMKHJLHnN=J;=t>mKchjJqJGAr]uJ?ltB<VjEt:\\m<Iw_lKdhOhMKo@KZEP>QV_USHUJLmjdXKU\\YEhJa`KPpWRmPeMSSDOdtV_PuJaoVtlCxJ;iR?DYApK:Tkt<\\=VqbhnVImH>mGG\\MNjS>cAhrSbBsHN_SMaVS]b?MD_mXC]tNuuIWS\\QXfuwtQxeAdoEgc;vIcdZaylexnyr@muxsshUuDaiUCVHKxEAUT;EiywKGVesxHsByircHPWaQ=eYxenWAq^LsgUj^XS=<SV<tNEmF@KD`S^LRUdJ>EMl<Qc@JKPkB@J@dxl<LRLOLiO;=NS\\S>INWdt;=lDUM^NoLg[?q^MG^kAc@HrKfsCXbpN_fOwa^]PImmOt_Q\\PPl;ahPH[RFjC`dmG`?Qs@Oc^OwkaZU@bgad?GmDAk?>rBI_K`o<HknVbFflcWZI@fsanRIa:QhLG\\pw^N^]k^sdHnUX\\Yh^HAwUV^@XfJNqBpqcnm?ImB@mcPgr>d>@sIv]a?v[H]<NykWZA@]pI\\oiei@oQYvB@r`i\\UO_GpybVlSvkFY`pyoNVvixrivou`qGWxI`l_`g@_auGpDoZcim<wZIo_evjWxqaTBKesauNwYrcHcoBF]rwQS>IFuswiQdPcExIIrsRsofeUu?uSVwr>=vC_VrMyekgtsXPSI@eFoWHFwROASqeIPQg`ExnKekmcvGvqYUOir=CSAsDQww<atdMTdgIZAWfoXXwUDuUkidtqtXISI;d^YRsCYiuWOYVp?YuMfmQS?ubechu_cOIXLGyOwU`CtduuLIthEcSWePKF\\KvNAWROr\\]iKYISYcUsUosxh[hmctTOh]YxRCiReDmcHlsE>SHbEIHMV=EsSmxnACE=dPoUQIb^USFyUg_BVQSeqt=Uck;UegCR[v\\?Go_skUTTOePeSjAfVaDHGGmmb<GgUIYRIILKHROimyXUCyKOTgPV;tlc`vbtKDxTfUnaUk\\POyMwvpTCmkJAsF]RkxY:dPXPWoUQ[=KbQOUInJ<k^IUMEJhlkExmpQpsio@PVMPotxRmxMuIu`YQ=AVJ=prdoLdJGYvSEMIusoTsLqQRIo`mZLqleAghv[>q_N^xwQ\\Lf^d?[sXbH>aOPd[`s=AefadhHwkIlrgl]Hk:Wk`Gkj>sxqtsGoAgnRxl_Vgy^_JV^IiZS>om?k\\N^enkeagh>]`i\\\\HibFw_Nd[wmq@uT`vhqoBFhrfZMIZPH_cWv_FfVfujxkOf_\\V^?ImIWqXam\\weOFe]^_Aa^@?]snxa>\\@FecX`]irNH\\A>^L>tC_amhhwN^f^m;`_]X`Bvl;>q`pZZHwJHZ`adA@kp?_GQ^:a[JVZ\\ad=@hFgZDfbrq^<nlPXbtVsNGe^NsfOZ>O^]@jCU?gsJoClOFG]iDkDVMTaCbLcsvadS=d=;wZ[I<EeGCU`cX>scZcSdagW=Ga?wbsH`MBZkF<KGeWxdGBFiFXotb]WNOY^oUZCyOStCEY<iV\\AUEWvZIe]eea;sLsXfehyYVIqCdgIiwu<]HawdFEI[gHNmHf?ebQXi=i\\?IqiX]MyKccFifRSdZSRQ?VSKD[acB;gRYdXwSn?V^QH;CVQeR>iBJAXC=Sl;rRsHdagJ]h[OL?N`L_dDYvkNkfydcfZO>sFPd;^cHH_l>j^?jL?[^_bJOsFokbN^<G]C?lBXk[^lS`[=X\\hplGXfnhl@pptyy:nyyVxwo\\\\nxogy[gvfYyoNiBfiCaa\\piE@tSQk;yYYwy;riYCsoY[yGIih=yxfYwQeHlCF\\aDLIFQoFcqD;qf\\qFBSV?sRp_C?mHCMc?Mt`ecGAdD?Sl_c`SDdQfF=TM_fDOGCCcJqvBOtBqVCIg`KiJST\\WTY=VBgRAQG[Eyh_uTWgCWBj_rkuWPSFC?C;QXl]gUtOFHQN@m]=uNDs[MJ<yoDLnAHRg=TJlNHMXWumKdSlDPZxV?etmyMAHjL@kgTuLMW:@MXDkRLLWeTmu^q?>QR_;sj=ruKtKeROsBoCHJYiKmdCABdKW^MgOqwRmrrsRCUXQSI<]RWmfO=dpyH==bYcY[qtZ;XEWGkKrvsDwIXpUWcYfAyVUIfk[EsebpgCNIWBOvhoV@eF\\KvLcW@_wLKTHMgfKBV=XT[rB;Vl[C?mV@?GbCHbWV:SdwCs:?iZSc[eeBaT:cF>Se>]brcDjcE>OFsMH^khESfloSQeR>wBDIeNkccABB=FAmSD_cRMcwKG\\GclKTSCTPEt_CT`eRm_VSgsLOdn;GqaXS[C>;hSKwZ_R]Uc]OUSUSEovBmvEgfLoDV_EcKDrgf^eT>wEL]x[ECIGV<]SC[Bf;IZsrv_dn?BUYDR]D>;uFCxbMTHCyc;VLLoshVLLr^hLQ=sShnRqlL<J:HVT\\S^EunYtIaU^@xEMKTIN^PjsMpx`wN]RVlP;ISUdNgHOFIr]LV@=vB`vtHJGIN@DkbAJB`JmisEDoBlPdiUDDUHMvgDJImLLIl`mMDalBtKnlX`XjaPL?HnaLmwMSTIYhtXS=o@lO`LTsxkAEp><mFLtrdNGmP<ymPAlNHs[ALfYTEAj^\\j\\PLUXNsDRW`QLMTaeSO<jsxNRaL:\\YDYQN@lL=SaUtKPvFLP;Ml:dsFLW@qOYLXd<nddMBeqLlxYPKtDPOQY=LysUYxTwRuskTyCEXi`qf\\w_tNmIUxANepOUysqYWxAwvyTh\\yEuSXpul@Xe\\kOYq<qOvtO\\]K<`s``UJ=T=ANK@M?DNNTQN\\tSiQc]MWASZUyLPvDpKNDo^AMCEt\\ALitR_PsJPSfMX;iNHYs\\DJJUX[\\JcHNJhRJ`TS<k\\lJGeP>DuCLPSLj^EmCAlDUnEpY:ApftyqDT[uo?yt\\eX<au_TxEpSituYmTXpuIUpYqYxxY:lX^Hq:ay<]xLessqMApNWIJF=SitsZ@qpiYWPyxmObeV^Pp^AW;TkYXoiaO`PvTpKV`mO`pDujJIW]pxLIKMIp=<Xe<YNysCaK\\XWAhoxtSkUjCHytMvR=SpmxY<xLMwutYB]JZmmlYSj`OKpvamNIasltSHEx]DpEQoCux<XrpMsj@LheuoaqslvVpxbXVCpu@tRs]w?YlrlRAElYhRQhOq@tpXmvhKPAqcitEEXEHx>qr[<k[PRmeYZQWWIWHLP\\XnTmnm`PeeO_Qm?QRYytVYuq\\M?MXk\\JQhMEuRdasc`J^Dsl@KKxNo`voAvM]oV`xOhomxiXvo^ykCIctQfkpxPxaKguWqcZQrMN^rFfAh\\]`t_P_bN`h`bJ>ufpkixy:>_qibegxI@ylywYf`c@krY`MvxkGwuGkUadfQq^Gwv>i@fd[IqVihE^[bnaVoZ^nxp?ofQf_GpvxbqNyc^hcvkdYbCPtO?mBXuiNf`fx?PqpvhOAfNhomvj`iZyAZtwjKwut?f[^[`oiE>c?xvtVm=yhdHerwckXfY^llIqvWf?HtkhuHQ^m?q@ybWV_HxuwgfPGyu^mkggVwkZqpCQ\\tnjA?\\QgmdYnXgv]xxnvboXgSVuCxfbvtRhhdYeE@gu`c^>bZGeVWni?qFHjtHrb>m^IajAvbhhkpnjy[by]OGonPuHynma_m^Z?wm<Xp@A`AOuSWqgiuXxhMXZZPZ=vxe`pgo_dpiefh;qkZXnxHwxPnT?vT_iYO^mPwVyel@pOWfcYvM^xQ_svWd>QxUi[L`sdyhSGdC`jBxhTOqUNZlPiIavyAZqFtaw]gvv\\ie_?ofgrtpklh`tvolxuDOdliwhvy:Fggqdax]wAZyWjdAoYWpdW_x`]]Wvvqd\\ynIYqm^iFWihngFHvoGhF`k>WsYNiH`xhW_L^pF?[<FtAp\\OWoVYmfAnEowF@janm[>go?d?N`hWf`ynC@kYG`lFoopkeYh=^ff?fEF`Iav_`tiQpE@Zh`b>gjYYn;`vCwy:veKadeyahybsqic`]_IcyVcWOuMAqL^jfApDO\\Hfu]q[DvnJ_uUictHf\\VZ<vofqhMAoCns=A_DI\\bomEv_fxiypyJonv^vs`e\\oug?^F>xR^o]?qrpwvimaockx]\\_ukVsrx_xvixyjyEfSSrQixQeIQcwuGoieqsVxeu]]BxKsk=UhcFKSGhGxKdLIyY:@vXUlvdp>UYjTuUXYadslMpFXvTlQ]PMousmhLtIQTunXauv\\qkmKl`m<isSusoUQlHLqpsJ@yy=j<DqOQXVewfLPfUKBIvVYPtqXXyxSPKfiPJHj=QKkdLMDWmXXG`PqQnDqpt`kT@s;@OHPWaxsYMslQXhoyMYuCyedI^pXxhy]?WlsHubOnw`rlF`TVysIoG`cmOws`eIo]JhqthlK`uO?[Bqrm^_AgpAOiq>`Qah`W^:>hIx]LhoP?whqgUQwuYn`v^XX_EGo@XuIIumycM^kQFhNXppynqOqFhnEV]Cofy>v_tuawU;U]aUEEwowd\\wrdyC`sU_WufwIuyu_OiOyWiIcHUEYYWUKGqMbKgEpEs:ibU]y[ErMiuh_wOmE>gF\\ww_siL[XpUycKToqC=Cxbgr;?vesWtwFYUV_[FCau;?Sfar@_EoCxtAhgyXTHmvhWQmJrpXe`KkpxuYmppLDdWwmo;HkZayPpXWLO_UlLlTMTLVTpthNP=TZXWKpkhQoHiWOit<Uvq`Ky]WQqYn<m=aqcxtnpLieWFexB<RA\\QHeVhMokHKQHqsLS\\em_=qwyoYpXL<qmEsLAUieWq<KUMn>ApAum?xTdLSOprw\\PY@r>UxiIUOim_Ixptwp@QRhVY@PhDPMlmvDM_EPx\\yptX@ATdPXCLv=PqDQnGitkaM]yQjDqAxK;IWh]vgPuDItN@NeqKUfep?guqcKxaD@mAW\\iYgVXxXrnMyhMguStbsCMAdhYiiaWlCglESc;F=AgnEfRiFekemaRymgDuiK=ys?Th?rRyB?;fNYgCWwRQR`EiAyvh_wlsudCuL?vmSXEUdIEXZwErou]wCfAe]GwD]h;kFo_SB?xSermmwoeFqqUDYycOct_SZ?SJ]OUAwhupJaL]=VTTsryQ;qUd=rG`qUXp`EonQohxMDLldar@@OmmtxpPShY\\EqUuuIAscLVT=U:TYOis@PWEeooLUCIx=TXDdy@AuEDVCTjb@rd=lDhlUIJdaQrUJYpL`tqO@OHHMEQoDyW=QWrUS;ilwuvhhrULquhKbLjPMJIAky=j<tTt@rOArAlXf<U@eUAQxYyL_AlmxkaUrWyMIPpyXpGpJ=hVllnLUYuuJotRcqWauXylOpDpayRvqlWUj=<r:<RihqMIwOltcaJFqKLdX?XvRDMaYOGHVjDV_UymmvC]W<hrAER`iwfdUhaJ>xnpeKFAYvqlwhPRhWBinBEjmasl@rUEU_IxStO\\@jK\\W_HP`anIIk@tkHeUEEX]Nf=YdehyDynBgkxGdjv]NQs^_ywNkuAZmxlPHpkYsUviwglSonL>^j^_nX^rxZho_xy\\wFvMopIhdrPqvVfFVajidbNqM?ogqbm_lUOwoxdK>y\\ov`vijYpMyppvergjL`^nVkgVc^V_;pl:OZPgbK^\\i_r@Nb@O_aqdmhbX?eHyfZa<YCDYWOGxTmriET=wgx]HSsUlab:]eYEtTWiToGKGT\\KrGuhB]wGgfjuh@?sRGgBwbEExhcGgyDMSCHgvRwx>wsDOCMmEiUu]etpqfe_YKkVhWbVAHpcGEUFoUucMSmSY;Cx[EsJEuy\\myLMYite\\tApywhMYatE]s;ykCllpAthuX\\mrPppPXYuhYETRpevPauCMU\\UnXhtSTtpmTV]neAP=IsElKeyReDlW`q:LV:asx\\tAqTOMy`Mxp=uempHIv\\iYDdQEEY_mTBdT`HvIdpj]UPmxqLrkIS]xO?uRkuklDohykaIPATXeDTuMYEuPopughoupSb@SLHSB`nOxMNuXPet`QM^TrATleTqCpQTaJ^EjA<UPetu=OM`xf`K^\\WTLVAIJuQP@IpFmyTHM\\MMUYM_eytlKmlkIDtKiUEiXoDlm<PMloKHVjYs]hu`TrKMs=MVQpWl<m=aQehTWLYDiU]qWUPQqqPsqxHyrfLv]yr^UOhuPQtrmevCDLW<ruEUc]wyoriXqdqdHWwxygsInnacsOsy_ZkA\\JQwuvsE?vA`uloi;Vh@Xsm_f>_wrpR]R?itdkGq_fV;ugsTMCg=IB>awIsbRAUosEmyxbeFFcFBASReXFmVPuvKeUSgUtOGK[c@mvT_fBMBH;Bf=chCFiAIHKx`[E;[Uy[wNKRhsfdixEcRokHQiE?MFLsWZaXCEeZGHtgXt_WOyBmsrWEfgQXHEHSkWm=hSGfsyfVoeOqRKuNo]opXXpayOet=YOrAWiENeyMnpYMuoLXxeqQBiqoyk\\QkZmon=odeuQ=uYauwDmryLT`q=adOFrqWq_vrIg`ZYi_nZGGmBWf<`bN^dSG^;xrDPmBH]lGdJogvVtfWd;>xSnnlgdJ?]ZfZj>]ZojNwhc`eHPc_HbO@q^Akdg^C_bZPkMNb>^jJIjlV\\<_ZMH_^FjlF]pNbFnwkpew`oyAZ?`nvPnqy\\Ng_hhdYD<wDA?v<sbjcIwYx>YrGSuV_rgaxSEiuQw_]yGyW;SISiB[SF]KB^Sx?wdt_c?CDMCEJwSwwFtGYCWWd?IRmfC_DSiv;?USATWgGqqFIUXg?FHAU@CEg_bOGc^?EpIWcWyGad>uHmMEA?seYeWebu;GBseCySTsR?GxJUsUySruvRsYfQUpYewAylOGlKIrsYI=IPmHw]GKsytEgsqta;ePMdFWtVGSftdjXqq?aT`xnxbMfs<gqi@dFXfX?qBpZRnfAFqfG^Wovch`EppQOdcyfmw_lNn>FmBxlOnsHymvPqgp\\SQ\\GqnvVyEi_NHm]FayAZ@FpyVsynnf_wTQbJgpkp_RNqixhB_lanvgyfZpvAAwPOr?@pNXj<OeEovHYmGwutXwOneFiky`oWakh>jVVehy]?vhs?pihhKN\\TGduif?ih]Pgd_mhamopcfW[@^[QnhPOhaQvKxkVFpeIuiIoXfepwbIwZ[AxWoxw_`gwvaYegnhvwZiQe?n^^Ou^otSf]=wnWWqq`enFwZG`e^nbvuS^bS?abaZx^mRYiPVmkWb`VtNOmAqloWyg?sjpsE@ZANxCIhA`clXs?VqsPjYqlvVebipUPklfc_hh>`^Yf\\W`tpndh_kvop;yuKovn`x[Hm\\VgRHeEPkJolPyuD?_=YecwsFvtWgq`Nq]geF`c=o\\>Y_tfiBAfP`blvjDGtnggfHjK>^FwcKIeYIdeVwontHqc^OpppsGh_TXqIWlRGxhynMqxphge`lf^gEojh>qioxPnw``[n>pGFkTGiahnMHguh`DxtKYmGnpuYr=>aBpZR^]RWiNv`wq`gis@AhMin:p[POpZo^mY\\`Glk^cdAoYI]>Yer>wAfrap`qq_AnnXyhx>iLQuoq`hp]_QpBifqVlBGdYaxrqwkiZ`P`yNkahappyOGi>nbKGsVQaTafq^`FpnCnr_VmqHuUodPahPxta^gsOoupiW`qUQ\\e_l=>vkwi\\XuagcSx`YPxc_]xG]MQuhy^qdW]rDGSX;y;mGPqhn=EMOUfsV=IC\\gT@aXSgCPGX`]StwSO]igMW=?cJGtCIfViWi?wWehD;imme_gT`EbGmF`yfR]C\\MF\\eyScYuuv`kdmgsGKfZcS_IHdcutigOMrJQD:kX_SWlasdcgqwhc]fPoyF=egyx>kbm]E>Sr<GujkXcgup_uCMSN;unAcwQhZ]HSiCGqHwQUxgVQucF_EgydhkV^kRtYvS]HTyV>eeB[rlasFwcO]C\\[imOyHqsGoTKUUrieVOPcasclnohSotRFXKkmtnUN?pX]UtRiQN@oTMUqtRkUVmDLVLxLMWUIwh=N]pJNYkvPktpS@hs`xwRmtdhqSelfyw@LUUEYcanwmQhpY?iMY`SWHTltlcUTjxj>lQEeTThTXyY:LSc]MxEMuho?TYEak;Hk;@r]Uy\\YQgqppdtoylTus[Dv]QlxDsm`N_MP@ElYTryDOgynuXt[lmi`KEpOuLsfQO[hufHX:EPviLw<o^YUDdu\\mxMqUKYOdh`s^gNQaxOtGao_F]p`^JfrX?Z[fmpNvGHiUitAwfpppe`gxpts_v?IuA?oga_WIwJysQnr??gq^`qW_nhu`HpTWp_^pVQy[wbA@d;ixxwelgvq@uio`IivDWZP?ixivixnDhgCie_``IPsO`\\hW^dxdBQ\\GA[=XjuilWvqGSuEiemGJMt`yCqgGjcEFaTTIC<yVrGt@uUjWwmocJaD^aH>Wr<WvkGWpMD`qWLSvrIg:eW@MBgovjIsTaxeqxPOgCGs;?RssVEGt:EcCcEFOBMyh^]seOrHUTgewpEufGuaAc]OUGcUrWtsWH;MEkKfweFb;VHQGgovjGcqyFYigIsEGgWb;C=mwD_cpmXIshUaVX[ElOukygqWwwGcBqfLQe<qhxIWhKwogBC[fmidAuFgqgTEs<cC`svJQd\\[hSADEUikww\\sDuIhpcytOIqQbmgfVqtOycRyGiGgOehD;ipEWmmtJQSHSTmGWf]jhtu[iQUAQh<tTXp?QXpqoUikHpVdUVC@MDQyF\\nCYRj\\kPTNlDmqXmnlTvHoimxxmO:<V`LPyhRIYxk`mp@tUqTImLlySw<w^mLdmRMyM;EpFPupylQipP\\uc]TCYveHJGaUTetgdqkTO\\Tp]eRp]VllSP]RMmMwQQy=tiUoBEXduki`uudxWhmudO\\LM=EQilOeeR``XXAYYlvouKHTmTeNGIPhhWd<QZmtweupTYitPAUSduJSPXpiO@`vS`tFlN`dvditqTMBqW=TS<PPQdnHioPpxKpNeLn]YuuQRPmv<IlN\\rQEnKiVWhohNok_l>ynvV`[G\\AqjdouLIqK_cd>s>QfAQkhAsaOdlGmDPg\\>mAqnXy`@NynykP>nFvqlwthGgl`gdivNxsLP^KHsF^n=QkBfh@HlSgahgcBvbSx^VqpSGihip`Wo>xiFoiewnVoeFwf@a_?YoJYgOAqlfykvaO^lwx\\wqigh`HWtsYkINfnqxGWfhfakGi=Od?IsQHe`An<Gxw>g:PjNFmLQ_B>lranknwMogC>ZbAom^jp>acxp>FmCidK?_;FcVHnKheeO[NQhOWwPoZDOpc_\\LIbNn^>H[nF^:^j[NZ<?g:?lT@c?^vtfpXnb`Yb>`q]Wuuytj@ewxigoob`umFj]_uyOicytovlgYslx_YVtGyoWOthVxpGpay];nxxgv^qdaiytgymfmaVxGVbvp_wIproyVPi`Qpwiq<Nc?g^]QiCH[[@dLDC]V<[Vl=G^ED^Mhfmb:?DTcTKERL]tqOi;Mwk]SIwRlwew=DVGvJ_CmiGVWefac[]dgcdASiI=gKQfMIYXkuYCRZCwYcfYWCdcH@CgmaGTsgmoFtyVq[efubpGtYOYOiw@MVpggbawwmTE_duIvuCTUsFF=DsMW@QDoeTROHV]yWAHyiTIwGruXWiUsQBRGuX=yxmf;=FAObXkrHScaeFSWgFcwyLXDYtqiVjqtBPng\\vCUMWyODam[YU:]jP@RNEl[`nkHRPaSqmL=Yws<TBGf>xcZffuAtlyn[GoEQrKG`l?yLFZsQno@caIr<n_VNfPvcO_liau=og^ydZPc:o\\NIcf_dqYhdhoZalhI\\lar>WgkIfIa_k^dc_[l_b]xnhIr`gk[a`hyvF?pH@`Q@ivydbNgaxnFQjVOcln[Y?k;Gp^XpFhlEwoJpusW^gA`F@jV^udhm<odEghWGhKPZJN\\:n\\kY\\YHrn_uQY_tojRxv_irrqi^P]>?gGAc>glLx^GWiEorTqf<_[Yo\\A>pVPxZYnNagWhpgAv^qb\\OdJhZWHmNP]hirlH_Rppaf^IGdoah>IxbXlXi\\Wnp\\Qk_`ffaqFGueXdCVir>h;Wp[GtKn^_>sHHZwiqCYZb@aRopWaftai_No<Odlp_VWjLXtcaxsih@aaKndRWppH[>WgI^]Pp_\\Q\\Xywf^kCYt=Nnk^i:^gwOwwob>VeHou^>k<O]Rp\\?AuuGlTVvVNZBNtV^veXkFvhjxkeyoKwwDvkB_m^igt`bSH\\\\^elAauGlT_rKFkBnwRWm=V`npqCQ\\F?n`GcyFmmPeuV[Gfl=p_>A^CVugfsjXf\\p^fVeI^peF^HXcdFwUqa^Pe?WoLaZY_[@oaoAfYO_aWqKvrEQ]]iwE`yJipLArkhsFFyfnmO`d^yxSW^cFsoPc?otAQicN`OVbNqxv`_>^mRVZrY_:pqBW\\kWbpV_@@yM^bBqsG>fyAZhvi?ndmWxqWedweB^rUq_lA`tQnn>cZFaR>^?OxS_\\h?_eHh_olXa^`_f^N]S?hXfrHYwfYpa`tVfkmWth^ZFpif_lPXurn\\rF_@?a<pbHVp_OoXNlv^v\\WiQP_affwPbmO`gF]bIZjQtunabnpkppxphWigag]m>lWNscArkHr\\wtN_gmXhen[T`j_qoHWr<VqW?q?`hKgf^Ns<fsr>qkokRNnU?dGH^BIrj_uhW^>g`EQ\\H?m>yfcniSQoufkVxglXeKX^r>cAp[@om@avuPctvpoWZBhkl_lAGaMVyK@bP@wrynbVbGNe:F]u_iX_uQ>chqZr`rx?idy]\\VpvXk]fppXs;fxP>j_NyvPd]_wSn_jHku>mO_[dao>oxDgbUAuOnbkpkV`fR>^A>s`Wpba\\<w`OacoAc<obG?o:xbka]WvdVqwfVp[WcL^aCa`UplrN^UaeF@e`Qj>VbOpbCqsrhg^pc`niSgwY>pV_yUoo^Hfl^it@sMyZ;uWWUC[XT[FJaEZ;t=gvDyRUkgbQGU_wpCH]eY<;RCSY@[UNsxQEu`OrJ]feUeC=HjcuLSEaQBAcH[WB;CytgSpOdA_vEiIIYbWOb@SyfKglot\\?TN;v\\;Imyb=iXJ?udIgSGipaW>gF=_C=ebbqR<;efICMSuiauDWZ@HqLVrZVqY_h]ocXihB?meA`l?[=q]r?x;Go^`m<`kvGeffu>ynx^nHQeT^`A@rxnioAtRQfqomwN]xGuYVsbpf<HyTVhDOrZOfBv^Mwl=>ZVqtb^uMypUIiOWehPfK_lUvdvVhMOwTwvG^q>^n>^joa`HHa`Wj^?\\lGb@F^HIZ=ggIN_=VkINl?IwUYhv@ltPv_O^>GsanxCIbvhrW@pK?]\\I`SghDqhoG[GySwDPYBZQfVadfmyoWdv[CEQUE_BHyCx?GGSvP?rFMXDkeYSi?AdmwVaucF;S`Cd:kIxKFYcDe_sbIuN[Ef=Bq=TJ]GQsUJeXAUf_mHPuFbIFYmT_UXfchBODlKisQHesFe]F^aGNava_V=;uAeg=uBhEv^uRsAvcOTVUSI?d:uDuurWMI_oRrKg^sThCShES>uE^CGl]T>WET_DS_cZoCNCGlETKaVMaVSeRADOl<l?Al^HSlLoFXWBqwgYxh`MrYLAPXoem<uw\\HkIUkjtwe@SitSFIyCYRp\\Y:qUMevAynUQRx<n]muQAMcUUiItr<Ky\\WvQTpuOYQNa`xrirh@oxmS_`k^<s_uVpIRJPRM@N>\\tRhNJdULDN;qJ?mNWmKcIJ?eL@@VbUJOlN:Qke\\NQHh@IZpO[lHg`^jC>[<GZBNb>^J=VBcCBKTMKb>EVgGDpoRscvZeRnKBIECwOx\\ECQaW\\EUEUwsYEUUuAcvruXkSuy;BpgSXWuRsyfoyA?GjwDqIEUwDIAWPqEnCDZ[Fl?Y[mFniiQeeAmtxQwjmXjOuEwRNatMcTMEh^ODLmDO[d`[BCGS[?dJKEKEd<KTKET_uEqsIdmRtaSBSfRyCNMhPKTkaIO;EuASIWgq_DaSRsiIfuyTYGLqhloWjyVqmvuqdAkT:[fBGRLMEMMS<qTiaB]SRRkDTygFwtKoX\\?tOYIA;dkkW=]cY_HsUwmWcEUi\\cs;geOOhSeiF=UJCfBEUHAB@]VxeERwe<UgZcDusGdCT`[VR_rIKc_QeW]d>UxBkdSQTD]VOAwSeDVSVCMCl]wj;rHcxSuUGWe]=Ie_S^YF[AD^IUoaVEAFOYT;aBKYB;kRokVAggsiU<Gt>agOwDBCYFstWqSZmgeqSQkW^QV\\WdVWFa_w:oXgiuxMTqiT_mT>MFBQx;gUQgupkto]b[MSSasSOWuGYfmB<KfKWCX[VxMsuEb:yhGuXVaF:cEjKh?WiPwIPiUSmrOMbs?WfUigacpkdDCfqwE>qbA_i_;ILSU]?DCOhKmCV?uFqd:KGkgeC=S@SbFgdlCUQeUV[ch]XFCuRCG\\IhOGWxqeNWFtqThufc_B>ufJ_rsIxEoEpeVFgF;;SN]B^[tcwfGihQgXmeWN_GKCHKKtjKDxefouhOOD\\GtCoYVgVd[UkgVp?Gf]e<wDQmuDEeFYefAuWsTr_Ro=X\\ms?CIhOxPUEiCGJ[g^MD>]xmiWCqGbeR<]T<sB_Ms`qgvEGKAUI]d:?DRGhH]guMrkKG<iDQ=U@mrLisAKUusi?]feIcj_dv;CH;sl_gxMCgwHKCXcsFKSRZuC[uuNsXQcDmYsfsDMADXAUd=XrGVKMe`=eIKBGAhB[rR]ThevhAwhcFC=C@KI[ysFwEwcUycTNaCDMHliF[Ie\\oX]]c]=TFKBvgdl=UuAiDguF=V\\_C_cCFGiJUiKGyHOetSgKGdVwCI[S:QUXAeC]TG;DrEfFWbukvqUCmAGSMtIGu_cXpsbFgieebMAhO`WZaSiiJ]lMVxJrhOM]RI`J]]T:AVPPTYhs;dJZamOMTWDPK`mMTSOhl:iW\\XsONf\\>]c>ZU@^_Yf:FcH>]<xZ_fkmp\\SOqX@v>irIqja^xAAZqHmLi\\B`vJFfRqhNIecf`IP^HGjA^rlIacvg_ovQgcoOrYoim@sZWhgireOsR`c\\I`FgdJNoMW^sG_dAn<g^eq^@_eMVaTphqYm>of_O``QZrVZ>QwCagRVZ;qbNObR?l[`cbncpvtvg_FXnE^_mQ^nGqGIxCfevw_?`d<Y`bGubPsK_gRVvYPgXQx\\_sCi[vxZ?^g`p`eyhBftt>gFhv^orAH`kVZqx]\\`weNi]pv<^clG`Ia]jQvnhkJ^i@W_`@jFAnmQvu>idg\\Eh`Eax@IdyNwgVxTWaw^ppVnNwb\\qosG\\GacA?jPOsZgdoWaRGeOGhlpfK?luI]Y`q]qu^hbo_wcgkiq\\P`ZAVfIhZk`v:_mk`dqYysfuZPZ?FhtFmrxx[Pcm^utYqdh\\@qeOw^M?skFlhieporLguS?iC@kl>h_^u<VtaxgR>Z;ahJ>kw>oMo\\agg>_vTwr^fm<v[ChwCalqxnFijoNraF[ew^:@rvqdnHw>Hp[F`NOh<GmuVtcNcBPr_VwsG]jOdqHhGw\\U`xFqsF?xKFrsQwCYgTNvr?_H?mBAyJPfDQuiikjQpm^ka>flx^E_mU>`u^lioqqnrTXw>PuM^tFWj[wwUOnBX`:>kKAZj?]\\XddFqUvhmXqCG\\tVeQ?fKoo@whXwfCFiP?vA_]SptIylRnmNax>fp`h^pfgZibkW\\Sx^F`;YyY?wtcXS[T?OhPCvd_bnAs:;sQCIgsI\\qSv_T_]d_=U;aBoCrSORrMR>EGsKtjmgOIWVWDomYWMb^WT>[cIybUQDP]T>=h;Kf>SIbQxf]eMoXtwtn_c_osBibVyxdEcMwsSGwisTL_gvUiAyBhYSJOsBScj?Ed;FmUoRXUKHNn`lBTLcLSalKFlrbmUd]POATCtnRELv<JEXWE]Jm@NQmmBakbexBdTm<K<mvkXKutVhDrLqJhUmD]vb`kGUPA\\SF@XC`q_mLEXxCIk?MLu<YX<Kj`YchTlTMkULcLSKmOl`kSioW\\onmT;huvApFMS<ao_@KlDmGALDAKlTL=o\\G_lS`[ZpjcOpMH^KHdGa[^pj;_\\lVlbns<?qSXs:VZOhd=xtqx[b>tr>i_`xRWkhPv]AqlpdEIaQfepVaMWqth`josWWsUakeWkCY`phcxijoPxcXx_wxSwksAigFac>Z\\>]ZOZEwrN`uUitKFdB_n`Hslfk\\njLWbb>^RInC?lBAolhc<Xm[>l:_ZlVl[bMQCd[d\\kVOafJ[RZ=KJ\\>Hk^<J<EWZ@L><nJFbENgG@tovsR>skneafhqplTIuO__Aarmoe_ifoimAHoi`s:pYwsBiFroWwEyNadrsth]ChkwvSbAmvhcygMvAcGxEUqqy_]gQEr_QGtqwmwsaWsQsEFYIAyS;wGqyufuRPyeO?WL=WXwhZ?DT;D^oV>MB=oF>GcJKEJmF=oNLTL<aJMDO[\\JSak^Ll><SGQk>LSpTRN]SlAXRIO[dr[exrDUGaTOIKFaQ^IKNaUZAYeTmsiTk@l`DSWTTmIlFtKsATeIqKaylyY:LWQiowMQqHLMATS@PE@SHURA<qZaPEURmAWWtp=]K[=pwYSQHsKdMklY;it:LqxqNeMv]PO`<jQ<SedqYhyK\\UNhtSeuDdVR@sraN^qK^eU=dV`EP`lox@W`ulc\\ge^i`Q]lqid>tGNjen^rysagppPdNXkkFjKPheapqNqv?mqnkMAjxI\\SPydVaWArYyuTF^Gh`CqvAovJ@vunqegnlnouGr[gj\\hf]h=ocRIRggTQoSQ_HaSG]MVEEU`yI:]sOiGWqRb?gFcVViUZ?efgs`=FQSi]oh;ktlqb=[fxQvfosiGts]UHyI:gT>CF:CS^?cY;ECSGHWusuSceS\\KT`me`At_Cs?utT?wjKEiWTSYhpEUrWEMaWm_ftqU^;uy;bTkrOqhmydZ]htqrmEDNEFXuHI=sAyI:ACpaBvyv_ORUqs\\WCbKD\\MfL;Ck]gweRAEy[EEMQEoUd[AEJECssxVEx_Wt^aGG=hmsUxwVTYUTeRNQCE]iL_GGWxQau>avcOgxos<YCaUE_KV?miV]H@SVQaWCQTcoTUGgCkd_QBcCWCeW`wY<sU_UR]gXoCDIOwrSSF_S`YFnKGGiu`AEh;R<ODEyTjAs?YYSOTu]h]Oih?SWKtKoYakyGiWG?UdyHhCV[AvlYc[MVYqDtQguAg@ScdCT:qSGMBfIeUOC\\Wi[WyXMVtcVr[DB=T`_GkqYoOxBMYD_cgCdk;r^MCA]tgmhkMV@AD<KTA=DvmtKiU=ghpebpUC^ueN[hB_xR;fEuEdkUyWwKauHiw@MuAKbfmGlIHq?TsaxsUuhMVpmc>_IaSTL;HK_B:EU=UY_?HOWdBYxFIDZ=EZ]uwguwQSGWhtGiUwF\\cX:cFsAcryc?CDWkhQGUSst\\kfL]twebb]gXSSSucOKXFmvFiy_itGqReUhV?S?GXN;IMKhIUiDYcbMy<iBdGtpicR]B_CHWITu]V:shvothtVrTJZMjGUk^QpqPXxXYIQOudnR@KAAkPhSLEkRAnQIPMaT_UNcHQDQtIEmQUNneVsxtsYN;eVYaVpPvw\\qADMsTJ]TO^<xIDXdTTLdQ@MrylnApvbtq`qxdPwm]NvaN:HQL<yhHxJ<ljEpqLjuHKMewAMY<XT:qyq`rvEugeTK<m:`nJHKtPJIIOv]w^hU?TRoIStLM]Do?Ay:EpJqk@=QRiWBLjLYYIdpf=PHLX?]vhenwpMXQQ^`sv@S@moV=LrUO]HYwAugyRVEVehNR=qumtfuP=xY:DqPDPn`TtAjvyvY<thTUm`uiLP`qpC\\sBMSMEl`]vR@xZUohdmPDUU]rFYSP@MOTwsqpO<vBLSKyWKmnxixQXTqmrOHwTmT_ALFiwPLL=uYBTo<imW=jHiSFUVWExHLv>eY<Xo@PwsETtLnEaSCDKqmj\\YqgqpMijT`S_AoCeXCHs<qSUIkiuXATxj@R[AklyK\\UxdtuOiuTXVcEoyhtR`rxAkmyw^ym>`yrdWahOgmnT\\n=lLk\\OBuJFPrPtWkiospnBHSgQxrIqMYUjmTpTMyPOWDpkUj@dskqUPIOFh_GNm>a[r@spwx\\fnVgg[xxPVum^e;Fl>^kxO[Wn]pGuMVaCo>QhAYRjWseWEhiTgYfyAddyulyBkWgjiUU?Y;edK=tfaCBygW_F\\UIoYi_yXUmsoCFvSvMSu\\OSNuV_SUwOhKGThCDiQf^MbRIWigSQaW^cW:Kcl_cBkc[_rACdUIG@SuLwQ>xY:DY>tKuqv`EsGpQVAM:`jgLP]\\MyAotEogmXmelDEPsTj\\lvT]qXeXUUxWwuQHlb?[TVrZA`IqugprcQiSitVNmlfa>xvnIbIQhaWpTYlcN\\>Wv]HdmGkCY]SqgaO]vhkKGkL^l_y]<Xos@qoi_:iky_wPAhyNoVWyAhZ]hyvpb<?u[?`RQqr_a]Hp\\@sMFaHYdlvgrhoPFeopwI^olHnFHbI`qFpd\\PkEH^CO[d^_@hcB^jBafJQjfVm`^jC>lCInJhbF^n@@bSp^L;\\jC@lCMPNHkJbDaBEwTioWn=BKae__cuuyt?upACOSrsCfRsreibhwwPqVSSuf]vwEroQw@qfwaEuOhbuGqirdKqQxne`sRHXIqm[Er]]xxyMdaWQIPw=qaMUsmyeltgpx_ey]Ey]UoYdW^LT_anQhMbmN=q^MF>?dZSc[_DS_cDSc[_TL[fCMD_mfG;DZaTLeCN=C<;L>:::@n@iUnuupTrt<m=DkALMUqUOpxTER^]sj]ss\\ruqLLqlqQM``pE@P>Dn[AP>Dn:NB:Z>NmJFj[^`Z:abJOrHUHciw>=vYSr<aoqQNd]gJY^`VSguO[vZqSlwglEW<KT<MtjKFr=BrcfWiyJQH[KD>;FlSbL_hJgWDOx?qBKeGX;RUActqGQGCReH^ECmIVQ[FbMHwqi_]c;]byotk?ye?dcYRxIV?=E<KCUgiIAdtCh^MTIQigGyhEc?KWZShLoSamdJSBhaXh=Xs[R:yBUqbEMRpWds_Do[YIGGiwuTUd<ohNEFNsHJKT`AbB[Ev;iIOSiqyPiISQBccc:oiRkrIOuo?TPOd_UU\\CWo?BkGfWcewqVRSDG_iO[fbQgqUsAUYTyI:[CyeB@SUuufiuEcODRcsJkuK]wT=sPmrXOvWiCkcHSAs:=Fn]sBoHeUeg[dcoSPsdJAfIuX^uVn[wrkR]]s\\WsHUV_qx^GWpYBEiRn[rjqXmQUBqdL]eb=FOkdEGFBMWBEdCcd;WxK[eU]vW;EFKX;;G[crWctp?S=oEQCUSirBmwOqsHEYDYHNaBaCTGMElUCSQSTSTbaXsudIUDSKRrkFYiVVQRm?FKUF:gS^aiD_I?eDH?xukcm_Dv[g:As[YYQiCF_WNOElsRwItNQG<=D_KCqEid;SRgYjwgdCIdGs;Wd>=SauVP?d<qTEkvp;tKgKIuxOYp<UPW\\Q]AOdutJTjlPQqLn:Em?ujBHRWTnHUwM]qVHxluyt]t<qpNTNBlW[lJkEOslqblY?ptXpsgisKhMl]jAiWFTR>eOninNdSUDkDUxoiJC=Vjlv=PjJMTlLt<QK_ew^Yj_hmr`Vm`OSYur\\lvmtJljk\\J=xj`mpJTjxLsgUjT`XLTJ=@N^mon`wh=ODITJXPSHYDETqQUBqtLEm<iKEEwL\\kAAxPuuOQuMMQr@R>qXcyOmeVwEK_YPpTQI@NSPLliNCIqL\\pJejN@LT<<K:CB[[pJ:::\\ltqkPiSNeRj=NAEQyhLRLqG\\MFyd?@qHQfd>]VP^`gvEyg>ohji\\:A`ENnb?ef?lT@\\^n>MR<=g:?DT;D^oF>DMn<nCENB\\J[<K>:::::::::::::::::::::::::::::::rYyYp2:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCImUy0iRiotJS5CT1VORFNfSEVJR0hURzYjJCIlITQjRiotJSlDSElMRFJFTkc2Ig==