MFNWtKUb<ob<R=MDLCdNVZZJ:tN>T:\\WmDqiCB`N\\@Nd\\Qgqxx`JFmodpsqaTOuToexPpWL\\NfHSJ\\RB<K=\\k>uMU]M>IL`Iva<NBYJV@PH@nb`kI]UA=YFmm]\\KrhsAAy>tVV=tS<VRaJY`qk\\kbYl?mqS`R;HJk<yJujZ<N^<lHMQwxXQQxhywyuwyqxsxnHiudEwhPSyyYYyTcQsgXXIiQeiQyyusyOaTTo=n>LJ;@RZ<LB\\J<DjZmMJhl`<LB\\:=>LR:]J<:LZ[>^<Fj:;@BCBK;C>KJ;JBFZK>[>N:J<nbQ``;@bZ:=NbuUFeSIAoSPTSeLtPXd=YaAktiuBaSZyxwXYmLWcqMu=o_dYwLR:]:>>NjtI`xFagpgrytYXtqidug__xqUopGVtqYdI`e[PyDhudVmCQoDgpLI`oO\\<N^J>[>N:BmacgUru[t>ar^OIZuewgThsHaiDkYygwgboyxqYLqV:Ux;Kxkuy`yvVyEWwiaogXES^YvfgHiwCVydeAFIQC[;F<:Kjs]NXtus=WmxyyYXxATchTuywE]r]IlYqqDutHuQtEkdtleLweTMxmPAmQvFyrvvy`]PItg?^>^bZZ<ZbG^:o^@yn`HceHxYxoH?oenwr?bgha\\AbyyxMv^dPwdXqX^niymwwtCQoixnUgi[YiI`tJx[vqx`XbpYwrqxJNZ\\><BJ;C>CDZUXcgF=SBdSeEQdIiRk?t_OCsaY\\WyqwcF?dPYvVwIv;Tw[isUCWUYZIgaEc>?b^=v=wy=sTssERGU;_fj;dhuX[sE<=R>:\\Jk<YjyTiTl]yxwqmIlJ=lvJuJfIq>eMtxwJPMdywE`qYaNT\\S<]SZQMMXLxYyItYtplFappuLBDJK:BK;y]YfPEgGyGhCxCsBjayeWiB_dZYxjqVQ_cvGX?AV:?GjwiAGSvKd:GsAiUYCImWV<YwDCBK;[>:Ke:;D:;eyCw`;TviE^SBxeEjcgtQy=scMob^arOYgNQwwqdLCyJiScOtZQwmutdwxYOYFqWAmITqc:_sPOSd]XvMTOOs_?V[SXWMgu?TZsbVoS?ggh=gQAbm;gliUWEcMawHgxXiUjWCoaXdYWHwUearmMu:kH^GyV[wAUXugUU=CtSEEGWXQC>Kj@EpQQtw<wmqr=pxKUwHMUG]n=hMDYtdeaJQi:`rvyxyQq`HgiaerFreI^ugj:@g:QjAFnfxaYiodHmVau\\?wfNjMY`hIkIhmDObp_wTfd?>lbPbi?nX?omQt;Ij:gysfc`PePW`OPgZfcuHZ=N]<Q[:HjgocNpcfXd]^v]XoEi^EIqFg`thudH]OooN?gVwcuVbUfgNYuW?cfas`>dgwaYNpSacUoxa_uVh`YirFhukouD^Z<FbmFjqO_B@sanus_asVmYOxIx[NibxNm_agHxxwYnIpyVgynIlA?wyy\\gXeaplhfed^Z>ag^^wphl`Pcdgu_vwE^ypPh_Q_ogwoxi]pfbw`hXxB>[HFl;qw[yqwax[gxoX]i_xixuxWygQg\\`wXPesV`uVcygsnvpXqhAP]YHmbWstgwVV]QgllgwcXmf>nnOfWPw?VlIX_yQxMQwsxvp`r`xrRpZHHapA]oqpqxmhPiuQiOAu>aldi_PgdKI^\\NjHYrjAsbfq=A`QipSyuPOZu_uVhefWxP?^J>[TgZrIjvymI_m]poyylGGp`>efHx:HuPWp\\`eKIZ@x`vgdWWx_yoLyyI>uiweoOucwnCFZcHgbHmSOtJ^yZquiytvqZ;p_UhsdPkq@`pO]jX\\Tw`UpkSIcY?_:?c;@^mhx_x\\OqLWGjuGmmBoIFewCQUvMWtKOedoXgWT]?sNMSCWtlCS;yuumwxWUW_ipegtuu_sEJUDMUtneUB=SaEb?oxgYupoB`Yr;ygy[cnWVgAVyWuBaeWieaig:=FJ[hD;t<WRUKB\\ErHSwt;Xwihumxdoy\\uhdiwgiWdYhS_YVwY`yeJ_g;gcIIrwkdogSUahGCB;GILKVdsIpAw]mtYyevMxCMUFIVt;huOuZsV=]WmQbuKggMtYefDcwryWRAh;eIrAbEawk;iyqvtwsMGWKuFPIgK]TmgxQICg=i_XUNyvy@x?DN[dMB\\sA\\koUXx\\YpQme]T_PUcUysTQe=WQxLMaqO>;Ug[MIiWe:gDJ[HP[xwOToivb_MPYNlDwveRqdWTanxIwpYYNyLytxy\\tsuvwyPDYX^uthdpaQt[DNZlNjXPQytQiMjtU;qojtON@pYUQnAxq<oSHuluRL<LeQjXHmuplCaVttoHetl]viimRun`mpAlriyJy<y[TQ[pY\\yQb]SmAy@<PpIp]Ex;xxyxUGesHQK;DwnpyIatHIX>DMRhOQPQd`wEhWXQK>LJ;Un:DYRHOOHwZMrVmPAuNXxKiAu;uqw`Q[utXTR]LlN\\MpyLRYqqTn@pj@Dsi]LIQpsllYaYmiOdar]qkPuLV=X;xOmtxoaq`pNWar>aJS=MOTk?irC=RRINlIxAqvnxMRImu\\wjXrvEJGTq=AV<XpWLwALLA]SVIJldoHMQsiOdiOiEy]dkRhl<uX]tLv`wSQulErFUj?AXNIOUHmgAotdPLykpTTu\\wt<u><TRhqVDX>IL^uksIwIeYDyqHHxHHXyqvMlSF]VPTNbuWZ<w<hkR`O>LXHAyFaTeHlmmpMuu?MJ;@nm<x?xwwLVwpKAhWraSvYymtOtyn>Xw:IyTtnYdyTIYSULsauHTxsyVVTYJDlFtxwMm_xXdtomAKbTPodP_pjwTXV=lH@P<HVTHV?EJIiPCQsmAyayX]lQcDUk<UZtQLmK^UJLExjqnAitumuwmVbqjwywqpq\\pYruuI<s>\\yDXOh@TAiMq]u\\aNZ<td]LlEMYYSYPMwArO]prIpM\\Npuj[pQ<UNAijLTVu]WfavkUvmTQ_UXB`n[yS]Qx<@X;HjRdlQlwgQTkqxMYJwdQ>QmaePaDT^yQJYTF`Ni=WylLlUlNxrfxMFUPnENSdW=Hk?XygewFewiayXEX`IVGXPMdQyPS_QRSMyDhucXw>ys:xUJ\\tJ`uaexNik;ItB@Q<<Ltyo^ILY=m_@VQQnKAk?elDerd<jPdmveSgmJQywZXjHLTY<qnQt:XpiqjY\\WZDvi`Uc`ndYQnxS[XOQLuiESUijAiXRmUppq;AmCyX_UToHNIhutUyrDSwLtFixjPX?ilCxv=ms\\HQZLlXmmUxKtUU\\QUOYN>LYuHXuqsKLjTqXohpW]tvhOeUxilWHQvXQYXiRGAmqXxwtV?LJ;ay\\LsSTyMlK;DRbQUU=uT=QcUvZ<rsAJHYxjTsCxv=@J[eU>Dv:YYSiUqYoXYQtxj<al]iY?xuYUpFEtS<NMUtMMonTU\\dK=LjN@rQIqLmuYpq]IQJqVjpj>\\N=\\n<lQ[TStQyvMV=ElodpGlSVuMY`X=LjjHUf\\Vg\\qYExvynXPYDeQyQviYNeAYgitYXTqpumyOELQPLu=UJ\\aX>mQQxNgtJ]aj]ykahM_=W<=ufTwCxrYdTalmjMjMAy_Uo:hr[@TsulHlVWMyq=lVpOiutx`vf<l]Xvm\\pJHn]asvQvlQrw=UjINZMNiHxcPLgqxUQx\\XYn@p<YX<IS`<puLs<uR;YMbend=qc\\JpurKqWodVcps?hOHQY<`jg`Q`iyrmNApQ@@x:Dq=lV:=sQuuk=rw=ywXOMeK>PSpHlDQX_mtqxUVXOYmNPWZ;yjUqm>Ffiha`?^NaleFpoWbXVnMXl;XgB@`?PidiiT_h>N^NxZ<P\\xwb>Qnxqu\\gu<gkGW^Nnt@?_qNuOVvfi_ewtLFwJi]MYnBq`qi]Ihlvxx<NoPxfWpae@eui_fhe`^]lfoUH[KAaBQqwgjv_sv`xsGjxHtaArnaZtif`^pY_sl?wmO_Gw]aFwYo_Uvka_soO[Afww`nM`scN]]Ius`arok]_ceiw[XlN@pbQ^MXtmpit>a^XxwofsIgXYgoCnWw:ueE]GnqiAywtEEc[roEG]QeiIW^whXIIEysBMbbGYU_vW_d`mslAIcmrVgDBLQA<L`yLl<nA<S:]mc]XXAUX]W_ivoeM[QYkpLfPuYiNh<Q=]rvuP@HWvMrhXvxicxOmxXwlfhR>\\SVgZGsLhrC?brwfHNZQpwyIh^Idy?buXqBVdDytYphTf\\<Q]hx\\fVwGn\\n?o:AbNc][iZEFvMWmYt^GV[qC;ob_aimyGNUR=cYd]Vf]UGkxqiBtkuPwDv=Tj?cAev?gRNqh:Qbosrpgbm?gPofact]SepCtmqhIsCMeYk?heYbRgBD;CRuiVay>=fflKgQuYyuieoUTKylppEvtArF<KIqm;@V[Im<DqFqq\\pUvmysdPdaxQLsq\\QV\\T_LrqHJQITx]KdiLetKF]TalME<Oi\\jH\\pw\\t=@sYuWa=KrEToUJJyJbXu=xKw\\vYUQdAw]EwXpUA=JwhwpxYhHsQlnJUyfyiLNgtYiOWt>NmFFy?`jIW`XicKyrs>jtxmuoss^pmYmEi\\dOyXNZ`ycxOxyGgH?woAtuisFpq>p`AAms?w;ymrytRWt<`yFqhsfwnYt<FikNiuhmnxpYq]B>];YhZNoY_sxnMoFdQw]]t][gyEFZOvtGuh;wYidekTJiiweROUR<=YH]bGIG^IbGEd]scvKtYWD?uw_[xLYCIYyKefdmv=YdIMtRwfvkTgOfkkrHobIaWxifyYEDyC<IcteccUVY;bI=DDiClYvQGxQsS>wsUyhvIDSWSGwSPEgFGWaawxuBf_XCWbmsWqKWmqD]efOUxpKgIUv`awHItksvWYui[F>=FbAVVyisIIoEucuWF_SM]wHKWZEVdcxZygXmX?gwgUr^mg>cC<GGByWsEvqiHx=Ej=CAixusYxaGWyx@iD=_V<kB:UG[eu^GbIwb`sx]qyYgyh]rqCg<mIa\\YyAsJYw]Xn]`pxDxutL`@uF]M<AjaaQwatMpqfLqQqquYy_epKTMwiMIIjU@nWmtwiRjqK_]xnyOLMJ<QWymLnIJbeQJASJaXfpXP\\tu]qeApIxqfQpEaTsmpVDmITmm@NYxsymytdX=XxyeuSylqEmkewFYpHQTaamumU:@Q>uvoipNEYGIlEPOG\\mbLN@hmAyUwqvqDJm]mMmSsdrsIpN<L:ENNqksTkr\\TbmpmtNr\\pe\\Su=vE=nQxJ<yK>@mCHxCdXO]rwAoIlX_yoVuqXINYdqx@t>dOLqrGXMctYUiYQuUwepyyYnxr;xJxpTwqN`pStqKb\\TGxXXIXU=WxAJxURXALJYr>hufXN^HwIaRU=nwIvRhVPImeYs[@X;MR@TymeSsDPnLWAIuWiOkmUFlkjip`esT@RWHx<DPiivx<rh<tOxYspQnpMbypEuQrEoe<XemY^lOcas?Lu?LrdAshHPeAU<MQwtONxJ<xoXyrpHQ:pYkps;tSJeJC=q]qsuLLoIpgmQKpN[XOYuTyqYJISADVq=namsVLKg]RTANamSVUMmtNjqM:Uikpj@Q\\mo`GairvtcwbvX[:_aoQp\\`yZVipxhOfZl>oFq^hVnxvgkq_EWaawsmovfNsbWiQflaO_GvsUqfqIwuw_x`ncXhPC>SC=gU]YvC_HZ;YiaYsquyUFLQD`mgoUuAosZKF:_hr[CJuSAyVh=e`mTIcgy?cBGSRWtroiPsY_UrIag`aVBYy\\ihAUgqmEqQi:qRQku?yhVQXEOixqriMyQAV`cXvIHAWtu]w<iXQCd@]Ryuh\\AB;]iyAvIIV\\erliIbiEsqhMuu`QspUTMMwMwevaDwWEyToeayHXyXiXpIux`KEhX[ItGUM=lLQ<rQhMSqlCDKpLuZ_f=iiqIqUFliwiuWstYi;yuPagehynxnlNvW^iPakvIrKybANtmXntGul?mPos\\OZ]WeJihZGd>QrChe?guhQqSHi;`s>hb<ItYXlCHkdfj;^kWasWXn[av=a\\ZFhR@]po\\AiqJqo>AvmIy>wx]yxIIa=n\\dwbB^^NqwOahKNhrqqr>xhaiR@\\]WgeYahaqM`ZYnoU_\\ppgWQc<pdNgmKypqwUIvQwfsMEJ?Xj?rn=seqCCkwr=TJiBgguWGxHoi=WJnISNeQjYMVTuAqnVeWCtsO\\k=UtKmYruvB]vR=roYMi=qKPxDTNYlVy@VQTM]mSYXJnXx]IKd@wq`nw]smIOhxQLpxiySVxkXmPlyOjmv`AuRAU\\IQ;ppWpmVtSNyqc=Kc\\pDETiyLJplnTxPlXCISayUgaqg`pfmupTqIuqqiuuPmttV?LZ?HZvO^f_j<HjGg\\L>mWNx;Fvy^_gnoYxxOYiWieyWs``ZxwpKxZrymZgcBVt:@`<AsAvvwGryQqUgiiWtiXj>hveveKw]yPxiHkr^empymNwPygyexSXsybNYFIgyLOr_qDnghSSe\\utyiuoQwnYhIyxWGsiIieqHoYduqiIuxw]vLyIaKdkqeEwIFEwZaXXWXBqCB]BYKXfwWbYxo;WJ?xXeRX_SL=R<?xy]d;swMiwTox>CWUEc?st:?bv=RZktQkUbeIj?XlWtGowAKBUqHRwV?Gy;?eECHYybWwhmysysexwyryrykCj@UNDp=dkWmUF<UU=MDaPseowdvNujCqK?lsfDsUMvaYmIIs@`rRyVLPRHQyH@LlUugxPAlL_]lAlvGTSApJOYpIqya=NHyQB=KUxXj]pk<mhAxwAWU=mTAlPMr;AubAotqywxxtQr>Lt[dQFyOneoNPXXHK:aKAusE\\vKuwAAT;YU]lUR`mryQFUjnEN@DyW=Y[iJNyu:\\S?]xWAT^hUx`YsdlGDigW`GGbUXx?qc=^cq>nSH^[xwpxiH^aMfx;qk;accfibatdhtIy^XXvM_hqvvsOyrvpKxcdYia`qtWimWyZpqqputWgZp_r^tmaqqwqU`jgA`uGdP>gknjjvZZa\\I>wsGp:WsIibUNfQ`jqvZFyv\\_s[_aGgsNPZw_[<^tFpapH\\cVpyggoEFitMwStCsQ;hKqHRWejSElsvNYIHAI=exI[CRUxsqxqmi=MuNsvg[drmIZoEKMrpoeyKw;;rnEC`aTR]efUxpigieYeCIlWu`iGXiSh]De_SdGIEMET_UvqR=UHaiWLoIgerVgDBLu=<LVyMXeqlLYMltsuLhUMX@NGyjH<WW<QIdQy\\RtMpSPO;tTYXqppj>=vX<c<a`Z>iYIrfYs`AnhoayYwI^ahYm]GvWik=FZ[hwrqsgvpdHnxqaDWhRInAPyxWj=Wb=oy`@uYyigqZDw[yakyxyux_@N^NG^Wnw=Qiwoy?wlrynVXbMoisybyNwL^pyhyUOqHNpminivic>nCHj?Prunusoltqxqpq[ylcQueqo]VtU?gR@fHQ[nPdmItP^Z>hZ\\__JOaZ>uJIrX?kn`fRyr]Gp;@xYG`poxj@j_Oomndmv^pvgZGjBV[YYmYax`fphgutHa;arKNuKIjro_fqnMav?FZYwuS`quqsUI_i^[^nhBOclXddWug`fLPru@uMVv]GZlpb`V\\H@lsVdhPtHFyxYygyb<H\\p?ts`aJnoZox:`aZYr\\XpT?[k^^B>ioIwhIw]Xbe?f<^rII^YY]A?l[Akw>p=xf[Qj?h]@HuqFdoOtMAjfObr^t?@]VNsAFvEhp^?pO`y\\ylx@oxnykxkuys>iabVmxamjvrSo`INj]IyNx<IryiX[uBsQrY;fX?eRqhxkb@AG;_GQUR`GTH_ghGB;?TRws?[BigxeyyDIFPgyXIf?eTdUYBkXfmr<_hroThcTd=SYoyVKE=mu;eRvkCR?Veiw<iWBGh>mSdIFceW:uE<?R?exk;XrYEHOXtAybAuxkCeyUNgs_kD[ix:OgtWguwrYIwAWVtoUpmeM=wuGUigwJqItUu\\mWv=y=yE`oh?Ee=qv=kwM=Xpss>chKCV<lwE\\u=Qu@=QrYniaWmqX@YPAekTxprmODyl`ms@HWtdxk\\LotWkYmXynYMylIPdYVQxYfpwxdRydp\\msD\\ZgYZM@eR@jZqyiysfaoKaivoxWw^M_ZcVxt^ymNrB>stXlPWeG?qZosSfn;FjPpr>hwsAyxasPiedicHFZ[W[Y^qYFmv?`XYh[YiNav^aeXxavxyApac@j`Y^f^ah>cBniAOev?vyyZLAnAO\\>>vuynAvb;Igeiqd>]GFhSqeEIsnhgxh]vy\\NaZEp[O^soGyXVyVIb^A_=@pPHuVgsHOaPV]fqxSq\\hVuH^`lYZ[?RORJAR=ST^SBaEhtStUID^Eb<uDDKRmQr\\GW^iBGYbxWcB_iVeW;eHPUiK[UVYHK[v^_SyWVQWTisCPSVJwChsSx?tGev=?b\\wwJKhssCDIfusCMgUqWhrWxZYFAQUA=y;qCqSB^mbCAFpMtmIy<gxFYcZqsywDH[HUsEoQCrEyOwT=KRK[wfIiv?GQkFgki==F>yWtAY:otAuHoKh;Sib?D^=Rx;DxWDsIr@cY@IY@[hAMIZYy=?gukv>mgAUBLsTymS=OheYVBaFdASmYfYcyb;TYkuWwRY?fYAtp;wIeU?SyUyuxqHJqs`Cy=mI^[WQ]UAgVngH@QDlQb@;rXot[kt?OR^MuyAYvIXy_wvaWnYTNuEMAygQsLmYQwYlYTocYFixjGDckGU;B\\oDOmHraFcIYwSxeyV<siMCW]GXLwxUqD_abpGRAshgkYISeI[XWYuWyvvQf@AGgmFrKbuCDQaGy]urUx`ai_qiaQH<khsUs[GYMosS]v_UEqOyRIceYTVygqIGXixoqxccBC=SjsVSUG];DBKIQUCl?t:=HG?XG;S@QYpwRRIYY[YWWba=uf[EZSG\\;u@siECY=uBTyCwiYhUBnSrBurUOIruyOaB]AsSYbm=e;ASPKBEKS:=hj?r`gUY=U[[bKWDrkDHuSBwItAeZ?V@?sf;EBSh@OsWqh=cS<eU@iU:YXTIfy=UZiW<UDDYDSwdq;C=CYscVnSx<wgDSCP_iU=EYqE[IWVAUMiUoCdA?FvGVaEeEYBmmBnWwkwrgGgSiSIsD:WhoSipIWpUwg=x]=yAatU?cOWt`yCvAyxABkOVMKEWagDwi=aD=uDlGvZUCMGdSACM[C`UytIu;[UI;DBqtGGxrqYISwUkDrAUmafuIS[ir>YV<WwLWxBMVZmgrcW=uteoXlmbWUDFyCBcwVqEvydCkcggCoyvTQtlAi\\syacsKKUiYVpCgKYyRWy`uwwsdPaxkWS\\Ws[iyUGCXgHKsTpcYA?Gd]emUu\\wERqePahmgSlsEvay<MyuQfoUwbmwoaXu]rAIWQkWU_W<KFUcHPQdHIUHDtvhsPqxchWXqPNynctvfMlpMLB\\JgYJptUDMXWhvc\\y`xYZ<w=avcdsmDXptjG<KuiMaYJ\\MJIqktmQu<Y=yu]yOxQv]\\LOQspHUlhY^]rq=QAHyNqyetKF`Yh\\OX=lH<rw=pJHtCtkUAWkYMcHSHIoeEKSYUjLxKmXILoTlMS@KjPRRipOhX;QSU=yGAXvhvl=P`QpGUs:qPGiRglWipOR`jsylnTPiltbar[LU=LTOEU]En@@LDqnslnjej=]WfMRLLt=akCuNpLymEtaDq`lO\\IXseTbuJvtLZUvR`o`EqFayJpjUQMqQvJ<rfxOZiVghYaqyP\\WepTYPTWakp`rhlQpEloylDIrAtMfykClLZaW`TkFPgwiZ=V`=gyJg^UFZD^kywb:sSaUlGIhWIlsVlgHw]EPqIhihFeSYSRmsTc_V=UsPktYoHYoGqUb;ieAqVF[XRiCiiyTgIcEbZYRwAigessWriAJ<]XL=VhpKHlKspQclRB@VPQKkYpKuMnyv<usUUXQdOxmu`xwMUurUWQXl_iJ<DrvQJ<LQ<]wh=yNIYnqovirmyoLIocAXtqS=<WTMrf\\M\\`PZDTsiR;LpTIJqxu=mKYAQvyK^Ev>YvHpnoPMltOFIobpYUQjHuu=HPaYX^YxsMUu<Rf=jgXupHt@ikXLVq\\S=LLZdUdEVplWP\\k:@xhepXlYQ<rHLMPTUP\\wgMRODmP<Q<UOUyVAew:LRJUpgAJtxNsuleuL>qL^il^uRkDWTdUj`Rf<WQ=RcQoctKlQjglPiAKl@LEQr=tQEhsm<NfEwHxytHUVUR>UP[]LXdUrpvWxSUqW`tkAduxELqqXsTLKuuwypCdmELRnXR>Lpn@Rw]xxxjJaS^lqLAyHiRmPsQUmimpchYFHQYaktQmUhL`]Jl\\j^\\VyQMq\\thmr]DNd<xv]lmHUauSjpvQqR>dua]sphuvhRwYUWyns@OMqP;@RJIx:=QVUT:xvjDq`iX>Er<YqRTm>uLwUxxqjFmp<quWixb=Rr`s`<X`DK:tQH\\RxPjIDNBQjE]RVMP<TLd<yl=ra@TQqrMXQ<mN@ULgHUe@NImqydo@\\nJhU^]J>lXHAxyAYTQvyITCqTe]tMMys=NJ\\rZuYw=vdhT;Xl\\hWEhL>dpSTssHNhQjRhoW=LwhjlHqsEo@hPZ<JvuUn]wqxxXmtlArvIJfqM^Xj?XLBlPtajmuKO\\OuHWvDNELmN<yS<mkLnUEOVQTsam@LtYxrTpNUIkOAMYTp_HuTHx:yt]dj^eWQYYx`jSpR>XYqunQiwYUtF=Kkar=AnUHwSXqFIVw=lN]kHTW=Aon`o[ESMyrOPScdXYtncxJahVM<NrYMjXxplmopYwyy^LT:Ilj`usQToiJyIyxtW<yPc]wZIYUQwxdsDIMZLJ;ur;tjqIRruS<mNJdJe=Y^mn@`Y>hmeILc\\y`iw\\yWwLMJXUx\\YPPy]YnPEoyeY\\<yxiUk<QaMkDtJkYrH@QL`sGIp@URELJLAjI\\mBINyLN<PoLquIHp`Ax@DRkpmbmM\\HJ[Ml<DquTmiqUV]J>xK?Ut]LQKIyY<PyMpflYfhYZ=rx=y:MQjToV@uhEQGLmSxTLay\\QtjXxfMT;hnJLplUPsDV\\MjWaJ>mwDPQ=@VxXukLS:Lp@UmD=V<Tl^\\NhUOdyUIDK;YS;hwfIlAHuqISHaUjIkjemu`sGpp[]UTAQMXRUYQ]HU^ukMqvlmo=`PvyOnAsk]MpUMgas[eVKdmiPRKPr`UWBdyv`WTaXraqgeXYPK>LjWYMh]LfxLe=sDlKxYSEpVtAj:Utk\\q]uRGHOR<kCIQEyUmtRppxYylPQM>]O>=vW<lK\\mGLreMQFIpZYt;LT<\\kImS>mJhDJ;EvoTKT`l;iQPHULdNjIJCaO\\tMJ@pjYqZejtqwg]LJpK[Ysnur]IynHjheRxEqBuRkqvNxjoTSJ<Vjmp;pY`<J=Dt;axjmmEDtHHTutmSaJaMoRESiMr=itb`uOQSUak]pTEDVcmXSXtnHNSywA]xI]tmUwcXXwLMJLK\\DTh@lshLFqojmqAHQhGg[ai`or?v\\V?bqAmawsnP\\uXrvhgowmD^Z<ps=VmcFw:p`=NmKV\\r>ni^_I@pB_dp>b]OtFw]JNipqmEO\\axrtHr^_ZiagHVqUYty`rqIw:Ib;@xCFtIwbqFxDqxgqy;PjjI_;_`gPmb?nC^i:on`Wsdxhk@\\Jn[yXyMybXFoS?wMPZcGpuodHHamOnKBemhJwtBMe`]dAwFVKF_H[whqS?q<HsC^jk^]pipJhwRf^f`dfvnDyjsFeANt^OhCYsWa^AwdNh`h^Zm_l=wgpVmcHxoO:kgrOFKYx[Od_aY<Qy\\ccZ=e`gC]awQUthqdqSTbmtMQVk;b:wcm_HjmYIIUaaiUyTMWwm]boOFrocJOhfAgXQWLKhu_sUqTqIg:=FbaSRoyX;FYSUpgt@GcGOt@[f;keOYuuMeweIhobY_bHwXRIBc;c@oi;_D`YHBEfpeI<Khnucw;wBcBrqb:UC<SSYkXJuhPYrSufRUU<gX:CVIYWBgTFoB>otMOxfQbnYy<AW:]E[_C>[FZAGMuBZuxFWXs;GfugQpW]<RALpjptb\\svpvUUJ\\xmy@Jj@NEhMNUTBHvMhugMjhUnBMThUPDImIMPt`w=Ytndw;iq_\\St@M[AQFyY[PTcemtIPCHsLTyB=uVLY=QuJDnchWxyQ[=rExWp`PWlyvAlxESTqjpMVOEkfYvnTq_aVLpRTqsbEJqdo@\\RaDNRxORxPiHUp`kN]vrTj\\Isatm^hkLdUe@jt\\Y^YRQPoUpWtFlP@omyfLW\\PWsR_w^HiUawxfktw[Nqng@_;@bjXiu>adgn:>ZVFjC_b;_dZfk@^vdXqX^cWxyqo]TagooiA`gTfn;FigqmoPq<@pJ^qap]sPjxQv^^hrYayxx\\Ycdo[\\^vG@irI^<@bV@i<I[daymvy>@cBixqr^WHIoxOasr?ERAh^UTf]fycyFwXJyxLGS:MVn;FJAfFesPwD^wcaie:?T^qEaYHlkie;hjEfkIr>shuccD?tZ_yQaBFEFRkyCuiHmYSqgfeUu[W[ubk_Hmsg^Gy?me=Kvf[rVcxdCCsAbjMc?seC;DEkHrSw>uWqYWiWihmGlAeQoilscT_fV=smQfpMugmV:eUsaY:=DmGCIqhvcUU[xVUTdQWmiSKYr=sRqWRh[t[wDHMi`wCNwGrSEHoI>]IGsiMKISQiCMrS=Uy_RowHAEceGgmmFWorIkifKSE_BO_HySUSaxn_wRiSQiexOX=quP?s>_cIEIy_wlWsBIxYuxwGbsoDnkFcURjqd=qHs[iMStGyx_UuHYulEi[aI]Qyn[WvghlUt:=FJ[GfCu:od;CvoeSZiuFsrhUtceiX?WREVHSwRUT=aHZ;uvsbC]tOyvhgCVyWumIvyIR_WZ;RB;C?kHSCvI=cocVruvBOy[iYy;FmYGJ;cEwuqqIDUCmKgIuUkeFwww[McoEw_swMuEr_xLMIBsdGmbYcYnyv^SC]yx]ycs[enKxfMg?WbTexoOfNmhuQibQePWuheiSotl[vIWTSYYv?W]UiWCB[cOaPVb=y:UVVpXTPUsPV?]nZIk?uSYIX]hM]=m[EYppvpnhBp]>heDWu<nf@Hl^hZKIq@Vioqf`i\\a^gcixEP\\vA\\oQ_CGiVYl?X`dqjUnqdylCv^NVrcwuvfhXpsM@_Q_uMykeAawYqKPacEcARSCFrIw;kB`abRsxFodtMrGOv_ITbovVKiKQeCgVUSikmFE]w=abQKcH;IvSw[AgAKR\\IbUgwmcHMeFu?TwAVAMISYI<=SpGWo;wnWXEUISQuj[Ggse=KvLCgVeSYsEs]vKGfw]ckUdpwcMAya?XTUHFggMYVHYCv_SmIfBWxw[Ig?CBcITITqIhZASqMYBWw^ysi\\RPExf]quLulmu`QUYynpHpSasGUJ;@RjtqjhRvPY]Qk;AriAN:lPG<sRarNDW=<vnmW@EbP@kR`^<FivoxWw^MYqEB>qTHaiamSwEySsW`wiqyWxmGn[bjIUemUiyU=gRFKfXExS;Ft;RxkIueKNAj`HM;eMiMyAYmOypyhxGdxIupYYnxTpxQMDDvEAVyxkIaUxINoEvtXk<lY\\<xYerTDrcMrVhwIEQ_aLtxM><KYlUQAnSujYXVHepKDJSdMWdTi\\qrQVbIo;IV<LLVPWn]SHHqqYmHqvBupg=YaPULYUnajLaod@Q<YUxTwt<pHalePWdMWd<XX<KxqQuhVEDYxyTuQYNqokISLambArcHwAeMw]odplu]T[XYHqYJ\\wMarlivEite@O=ULmQMjQwmLwF]MmtqQmpiAxReyJPmSpmppQMXtJTPqlKV\\vlaTDeRt<l@yOIAsbdjRXtGqRJyWbtnsMwvLxilLEPoyxtGtRDHKHpXpDjt@NImNEDSLirOIOQhM^Tqp=oyasm\\T@]qkmpn=PrMkoLw@DVEaxQ@R>=nXquXLLPqUSqQVUVeEkl\\wnMwYEXtYnJ=OrYq\\yOsTVTaM]XUqpWOuOw@xvdUIMMcAW^urpUwoyuwtxfdkImMAlqZevKTtQuXthxNiy[@xlARw=w^Gm;vng^utVw^Y]KGpJxg`PuAOuYNusAxTYycynX`xqOwkw[N?qbY\\UYkBfw<Wxh?fZ>`xpjq_wnpnOYuJxvcNtTQuUFd;OcHoqRIj;YpGqa`Iht`rcy`WVq`n^cfqSyrvnp`^mYigIYvt_xpwvoHpp^]TphSX`pppuffRqxuy\\B?`@YxZOy@pxTpnsFdnI[lalMqy]Vq`>w^Aiw^eiNs>pq;Yh=qv=paHHblnb@wre?[=ApQo^Nh\\iy]yqyWhpiYstwvgOln>^@gnSImJIiEPhaqxVOwqIlgxcgWxpHlxf]dyw_vrJOnApsvh[UXpUwetGdgQ[SwgfXgTqoWOcZ>\\Fy_Z^my_xRhndIocHZo_bk_d_whx@opteMxyuycIhxiHvWduyXGSDC=ryIytyWxyeuGbkOhEiSIGYyQsZIrnYESmsbEy\\ywDqgKehCIdM_W:MEbEGXwuruedsEr]eYmdGUeX]Tu[equCDAclOwIyy_yGX?xiLxxHYaQmUpj^ImauPsIyfTUTxKfMO<Qn;tv:@rdujqdjkqy=QY<PXyTpsylPQP<QOBDWJuSweK:hrJtuuhvqtqPUUFXyZhu:yJrErKHRjIKEyyEpSX<YiTnV=OM\\VQyrYTYfdTYPRxyrc`w=TJ=dsa<NJljZ<V[inIDnAaL>hXutxVppelV@mq[@w<lsY=KDpn]dN>HjSQkMElx@njLrapuP\\qW\\UwlkvDK[YMqLomhM@qlCivOuWYewhhMtlKELQDAsa@V]Er@QvGhJEuOAlSQumddlWLXK=TwPok`qHmQcaNqLp:uWYdw\\mLgTmm`vj\\ThPTXeUsQjMxSgqobAt:uM_YjpXsPUs;DNNdv;Yp[APWYmi<yuXjrpTBIMaPKipUguMrlkJhlgQOrix;uuPLXwdP`aVbTOBDNaXwp]JJaYPqUalSQlTaloq\\tw]n;IsGaJ>TQviq^QvEhupHRwhqk<roURShXleju?qpWbg?uOXnkit]GkkikeAc=XhM>m:@fvVw<V_MxbTvvHYpFyu\\v^MhvSXspQeHOrtwp`AoF_jTIwMIwSH]dv`Hw_oVrKW`[>sufgRYuQYo@^kb`eU_]\\ii<X`[InGNvxFbuw[nqZUY]i^\\NIZkoqEGqLgsr@nknvB>is_xap`iXlnHfVOeNIZ]anUg\\Nah>w]aYx;w^hqoVaodi_^YgtA]wIjvQqVPaAsBiX?ydGiSUiwNGTcwfoSUT]siwXWgYpceFSeMqSZqG\\AfEQVk[XxmbGyBFgTvwtJuRtcgVCYOcuqmbg_SHuFdow\\uhPqbpescsh?MesUcnqhpURTkgiSGhKraiWKOwLytMGeQoI?ayByXqAy]iCmqHhms\\gGveWRAtLOEM[ilwVtkhIquuufLQeC[B<or;qt>YWFYw@iHwyye]WsabVUHiIXwYEducj;u]ihi=Temxn]vGYRQib`iEoayTOHY_XR]XwGdpAi]QtqwdqyD;oRLquM_gykCh=gyCtx?uROb<OBiAVUwiD=E\\eXf;tv=bv]GYYWiKUF[SlID?Sx?yIkcwhQywKicUVZQI>kgCIUQaHEsxbyxk]ermUbucrKvB?rw?V??DbAVhIVucsKsi=?HZGdVUyrQhTOekeBk;dQce>cdvsVpMFvCCmQeRoe[Cr=asEScVwWHEdj[fegsQ=bQ;S>IW@EyJqTF;CG=Ypac];s\\aW<GuSIEokIocSKcCXkycyS=cv;Ue<=H:?RdwwtOi^Kg\\ihEaGOiCceW;KBFAewivJSEj]fUceV_x\\;R?uCkKHWEXDYSK?Fn;XsyRAyFWQXssEvuHogB^;sVCX^CCJESFAVZMt[mcEqVCCF[MgHIckICTIw?yVaAwROukWWNOvuUfXYi`kfNicq[uR;SIKRWMx\\wV[gGs]SdiYIyBrmSKHND]x[xwOdLr\\uMTQtAL:Un\\aYIAW`ARtayETwYmW=AqBYVfUYDpY;yxjpQXDMUtnkXkIlrGpyU=nIXs_tQiTumxVL=y?\\TdlW>dQ^ipdetVamZMXItQoLmMMUUQV=<J^xuVxvVqNmHL`=TbXNGisRPPciY:iX^PPTTxPTxXlvj]TptWXQvwALQ<u]`TddjyXwWppIPO]LsM`nIEtHesdYtLxpK\\TmpORmvfTWO`jN=K>Ljshs]`MS`W;Uu;dkDly\\YTIIWaQJuUy<XM:XN:XOfausXPkxsc]o>qrfpnS<jtyMdmxahKu<VbePZ\\qcQRypqZARBTV[yLElQPlYW=VbQxpuLgMJBlYyXvHYQcEr@@L;Lr:hJlUx`is;tjL=Kq=tl\\vvdWH]UXULHQRGTl@<uUInxlVX=L>DNrlTvtMOPTB=wR]UaAX<IVK]UR=M?Emj=TGpkiQQIiwLeTTiSY@mR@jN\\S<eOVpm<dvkqLaeQtPLpUN[MM@Dn>dX;mMZlVYuy@yPdMR\\Tnf`Lv<rK\\OR=vd@UvYMJxLTaJY<K?mptDwoqNgDUhtSgiJoPN=lxH`VhLvBDwJltwEjWIN>QYWAOl]jm<ykXjD`q\\ajaanbxr`pu`HJ;Am@qWgtYjyYv=LYYMH]sBpn^xpo\\mGAtP<oITuKyLtPX>=toYTLEtq=Mq=Wa]k?]YjiMdLWwulSTv?prImPV=smHLm@PldVgYsSQT^UY]xUJuM^HpoIP`YN@qOx<MiDXw]m^`SC=kNTJdXVWtXwuxu`PPAWHEYgUklewVTmbhmaqsrDruUnNesRUnG@xvXRWDpK=JlISwITGDNiqrvEpK<YXxpBUklHnV@YadYeqnU`o[`sktNsmu`QXsTWuExVhRTIKiUL]\\lbDYmqLwIVUxpRAW<eyZmX?xS]hYTHoPyQQXrnxM<DjZExZal=ulMyvIySt\\syqq^xpbdKMaV:XOv`xlYsXYqpPLE]R\\eSj@VaTK`UlN<Y;YuPDQW=omtXcqTW\\ytLL\\=WAytB@L=YKBdOr]LK<oN<x=DJJLvfesUxkIdtHARb=rhHNAEu<qO`pOB=pSiJPlSR@j[Im?@La\\SHYK`YJ:hOi\\wZURZ]wglnFHUgEUnIqxAL@EpRuOYyVyLUvHUBarmHnSHVuuQphLNYuAXs]`M;yrnDVupxdysKUY<aj;uqQuY@lyIdo=\\wGtKxey[]pEMu_EWX\\nuPwdxqlyyI@WIDSNYYbytkHpkLQyERQlmKdy;hWWDJB\\u`INe=KX=jWMt\\XlAxq]]KlTWkdm<ixLuXKpJweN_qWsxOJlR>htodjp]lods[@Xjmy<PkPLJdAt:uYGuu=anCuwQ\\R;AtUyrVTkriK]ijlAkCdVDDJtDkwlnXqjC=vLTmfxtAYTkhYfmt[\\oIXnnXPtqqD=wR=RxmSTqOIIoJamMMyVtKUTYxaQIIqxLW`ay?aY:=wVeYx\\wyPx:MNdppWMYNHoEQRZuN`eUGUjxay^XxPLUAlmq@tnMmKTYKpvDXOh`KNHLiYv^dyU`XXqPTyntAuFXmqvhDFasNqJ?^J>[`Y]JHrY?hrVZfNGawRaba?fBEFP?Hgsc<gb?iRYIe@WTZGwyIHQ?uGSRCYcFGS>=hM[IocI?UitOy<oB[ABE[hgkdkkXNGhesD_[C\\Et?myWmeyGBFUETCsEKRC[BU[dYOwYKh=wb?sD<KDaGGS]yH]x?EEWWI`ACyAUjIR\\aXa]YwKR<oCV;UA_IR=tt[vJWR<kY^[YrOeH[yhmI=Cy]QytyixaEgQdP[EleTlMkfYKwtOJhqOELoMvkDTf\\XcHOA=O=@V@DNVusiLogHlP\\vr`v_IlB`S:Um@QRF\\p`mKclklTO>@nRlVLIl^akI`P^YvWtwvTknLJ=pR:uJnX\\CYrkvywxipyf;piCVgYnw=?[^gyHwesQmDV[kproQc[Pd]^u?htu>t@H\\cghlPrw_kppcUyrjYnKOeYv^[>mCOs``mpGbsoHWvNCS^CSuOwmQcocTBoBO=T_epSTwkUx;\\J^lmjqswxyJ<V:Tx<\\nZHMmqL]INxmsd@tqELyxoTdmqHWtatVTmkUXPauvHpwXS?LJ;@RJQMrPk>tviPmmDNqPsJUxK=Mf\\JMpuhAphYO;<rpHME`kimq<LL\\ImUEnLLy<Yr>`rnDmZekDhsVEJHAvR=xf=r<aK;MJudXJlNtaPGhjgtOV<LMtlQtwryxeMww\\wZirS`p>en[iRYXnWDrFhWwQyyPKRpQ>hlALjE\\Sq@TX\\tCtuKTPt\\wX]uAxu[pm>DmdHMj<ND]VLYvpiJ>DkjpPC`oiHTQ]R<Mro\\M`XjluJBHWBeuJpL>EL<lPIhLXtOKpXZQuRTT[LrPdUAHmRHlITLLdyMuOJuKnhuoyUwHtgXk=mQZatFTmrUT:yro<QRQREujJPsKeYIxuJyjwpUnEoh`YElX>hkp\\S<=yJyrbyonhYFHXKytMYmD`MSxwH@pstjpHjMxQ:DNwLoWEqV=wi\\smMNq]McTsMQy`DmI\\RN`lW@KdqnT`UA<lV\\y@pQGTWm`Nmql;LtXdT@MOAMRM\\qtuvgMmxdKFxPi]sO`T`dLsAKUaUJ<K>LJ;Ux_YJfhUmMugUyupPMeksUT]\\jS]mSdkguNRaP=Qj:xKu<VP<no=VAUWb=WJeLuPRpepvlJ?DnQlSv`lAXxWtsZiUglUF=LTpTQqJZAxjlK[Yy>YvIPlp`Jx=LjdR\\Mv;aj;hWKHO<Et^AYGmUqtuvUPwtKp@vBdXDqqf<tx@l:MvgLkR]lS=N[ENBXRoQwutXfhVSMQn<waHJKTjIujc\\M=aNAHjp<VLqjn@OapwQUjlAxHUOAHQ_Qxjiq:\\M@@RBDuSdMqIjj@w:=YF]tO@s\\QoOmY^HMnxLHyQ:qovlmK=xI\\QFLKpQYsdseaUimJvAVr\\yhlw;=YslKIPSgavoYmxXkFDjwTmeQKF\\YHdJdeWeUSRuUM\\Wd<qaAtL`Rmoryqci^pdGrUIPoCdkR:kTm]fMsx:?S?Kw\\ErhGxkuiGEtx;ukovxwrrmb]uWiwFNKTYyxGirPscVSb[cwLadnOuH;C<SDZggTCw]qfOYRUsYjYY:YI\\[WHEXUQR:yhGYXQ=XYgxeqrKMenIy:ys_AdBQyv?vBMFPyxZWtxMYyWry=sVwhruyJ]hvsWfIemqD>AC>mboCWkUPQXXxpvgeQwMWUXpEqJgIVZdWTyK[<N<Dj:Gq:I\\;>[PfZs@[eY^UPfSasjpvG@j:>t<@f[_oSibmnsZ>[ofgkaZSneFH]n@d\\wlJI\\h?\\[Ws^f[fhi;QfThtV`sWWxC`g:WxKvb:o^whu;oeVXZ<opMx]>VxThmQwssX\\khxowv`oksysknwsfcGWyZfkKntL`]dyraN^uirN>bSWg;vbv?a>qZnvcXqsavt=NZNvrhykDY\\<f^FQr<qhFGyFglJQaSohKigIipPisrva<ygUPdSPu@age_wnWw<i]>>\\BFaF_kGI`cW[EN]Go[`VdsvomFecnhQVdwV[T?\\UIiHNabpoF_xswtr^fFNmgQl`tb_htAuhmVYsH]oEpOhkMur;TrmvJsyhGEasCRGcleu<qeEixayukYUV=uaAixuvuYr`iGiMV:?G?isSmEIQi:wuhcYDsrxiw]kxsSWEcbVKEgwSB;c:=Fb=BB;y=sh<_HxMtCEbjay:UGlqWoCB;IhI[hH=IlSI^qSDCxhEFZcSkIB[WDveCLAVmmRA]Ixqe;IBe]tMcYk;tmYC^YwCKTf;BeqI\\[hbOU\\cSkQv=WYZ[Gm]XeoIA=s`AhgoFASclyrZiE:=CT;UnCsxgE<[VQ=T]IVDktbac_WbKybn_R`GHlYr\\_UnQt<=HKiSq;Xhaby?WmiYTwWG[BMMIQArmiX[YY=KReshmKfSedDqI;Wf;eTGKI_ubKCB@MttCyIixlYRuQRuer_YBkKb:GdIGHcKtUqrVSV`GuN[ByAGGubGweAgRgIX?sHqaeRoVtybNAdEsG\\odggY:]vwyVa?E=ofjkRKQi@KyvqIpsvaoIAEdp?IRow:Kf@MyrCsVMcUSCkEWGIIOstpOyrMG>asAcixisbyXymiuUEnkvvgRyAX:wc^WXpKXXqsmuelAu]yiRwYpGIeUeeORx[B<CRe?b=SD[ebJQCL?h[Ur@KtvWXXyuywxXps<DUb=qlLJxhjuYwo`tCdQfLNPpMSQOd@xtDMkHLKPS?UkpUL]YR;LpLhs`Yl?MyCHxSARX=XX`oRpnLdtDeUW`nETxoQK^pslqMW@sLmPvtoqXQU\\qQQlh\\tnlo?AjJMvhmp`YLqHNyuvp`oQ=tBPTFLwyhjKHWUDOIPwYUUsdWs=wsaNgum^dwO`PwMtpuKYXQSQqtAQCEY]pYEPOQhwq`RmMoHqPIUl@qpKTLTqVPhSDpRXiSgpmqHW@yTwTxO]mHiJ<DjHdUe@L`HV:qKxlSpqpKPKvqLaELNpPYAOgLkx=X[HYBaWTxVAEWMMlnHSm=y:eWn\\oPxR;Qv?=ND@kR@P?PQW=nmHLKdvWxpKAw\\lv`xo@qvO<PkPo@YK>ESEAL_<j^HLdqLLHxpPNgUoEQLA=QL`uQtnOYoqps[]r^hmqeQLayXplNhp\\`UcMsNQwk=MqqKCP^UHe@qbEi]Pon`oxc_tVhk\\v]\\hyJ>[Pn[RIsAxcR^Zs_m?hrx^grqkbni:iuqouhp_TwpH`jp_];>rYIvUoZg>ZLQvT>jJwvBNs=>wQic[y]sArYfk=_o]^arv]IAr^PZqYvq^novomI]d_e@V]ZopYnlipyfc?[Bx=Wt;qVxOLYNrPLeeQJxOxyMPuQhuT`LOtYpSymKts:=upmYpMtpDWcqVOUPQLubhjjLkB`Rg\\Ot@VQdR>MO_AQ;ynTaltMlGPXolUBQWPQNQAsHdX]LjDqwt@SQYSnLwWTpW`uplpt]nkDSeatkmtc]JiLk:eONeUThyVaPmqTntM<DRuQJ<=PFqlZlu<=y_yw:HYr<NxUV[aMYyTuuVEDvT\\Jb=JaINkyXwAn_ULriK<aqH]VjiUymQMXj_mRs@J>xOApV:\\N:\\r;QoG=X><Y^YKgpr=tQxxQZ\\rmDq:DNjIKEqrG`X`LlSxOBmJxysqAnF=NKDV^YJIYva=rfpyAxxwArympxuMlatoPOCMu^XNB<SLLLLplB@wEtSLLNLlv:\\m>`P>LwKlX\\DqDaP?>kT_cUG_vP[c@cIVmjV\\qnhM@mRn`Twk@wrCOlag^gvcLahGQ]Uisdyw?@^DhxPhaGGeuFhXx`]xcM@\\IFtx?[>V[E^bM^j@XZKIyrA^O?[XQas?f<HjYA_GXxu^ZcotJ@jB`gqacL@mJAxqA_\\Yfuqo=NrsVgF^x=@gcq]I@hZQiRIZWAaJn`FadDh`ynnSgdL`i]AZY_\\hX\\vg\\MPyD`^cWlHH^ZFcC?cVQfKnfhh\\_Om?ItI?rVgxRoyZWj?`laA^:Ilnwl=OeFaqbApf`ij^q`_u<plpGfgxf[nebi]qqdL>jsqbLF^@wcMfb@OeSq_W@u`iwPovHOg=qdhOenOyvicdHxJNx[>\\f^aRWskhfEq\\LHp:O`jiiop^jYw^PZc?xupiiqeuqwiYmIFbRqfmYnoxnVPuJGuRaZEn^BWuM>yV?m:Iqpo`gfjhoc@`ioO\\l@mKQ\\aIj@wenAeJ?y]o_Npp?Q\\IYv??]=V\\fFyvXxi^nIfmTXefNeiI[uA`;Pvv@y=Ii[NsE_l@YjEIaYW[upyvhjrahT@pLfxcotRguWHtbWmCNueoyqOyvhclp]CFyJ>[TyZEga\\IZmF^PQj:ou\\?bEOrTy[^Hrqge=Or>_rVipqfcrPw;?]s>fAfgbwb\\uB;e>EbFAH:=djuCB?cxmiNch=wdiGu@CW:svp]uiUYpUI]gVH=wCUf\\aFS=YFiU`AHuUY>oV^YRAcy;CwWwv:KtJoBp_i:mI<qse=Sl?dacDPQdTwfCKtoWwvmd]oex[SMuc@mrBUhUYWxOsWaslwGNaEewhvYimYI[gTmyTBub:=tX?UgIItUHZMc^WdA[YYktvmIRIHTuBucSAGFDIVuKCfASHSXdceF?rYUFH;GMSCyqVsER<]st=fx]w>oWpGRVeeJmSbubB_rcEftesa=w_MHGQsPKEGEIB?HcKE_SFKUcjUITYXqWbZ]ufEr?mXvgB<ox>Mtsoiuws[EFXKB;?fX;Ru=ByMCMmv_Erymi=Ax`gRN=EXqexiFGEtJcr;wC\\[VYcWVobHWbBcuoKWXWrjTqj\\tUDSeLO<xsvUmS\\pMQJi\\j[Hy]epWMrXTK>LPQijr=K>Lj`AJ<LyL@K<Hl^UPx\\kB]jWYSIaWLDPBTYpUqXpnXitheJDMXjtUL@STUkS`XBLUe<nNYYXUSahpGhoHEVg=uhxVKAKS]lsUOJ<K>dk:DnleJE@j:@mEtcTFlrN`l@t>XnOY[bWqCFeEHdZ?uWVwVqcAVch^by@mmQoWPwRQksv_<pq:?>chbuTGKbJ;dsMDZKdXwGl?E?OTK[E>Kb?iHi_VHYC>KB;?RB;SUCDKCDF[B<Cj:=NJ<K>dMF=RZipIXrvAXtPVuHKriwduXh<LB\\J<ZR__:vd:vfBOkRG[xwmwxxPW^unpqhf_gx=YZQVtmhZ<Fj:C>NjpGZrPrZq]EQ\\axkOAjFf[GFoWXfMniVFv<oaYq`TA\\M@\\B^Z<:NjPYZTwkSHuSOaEaZVFnqXaigcaom;NlB@j:vZfYpqP]WfwOw_w`ylPupXgQ`pr@bZ><D:[Gl=rfQCTwc;ou\\wY@sEs?S^MfG_gLSI[wxoyxeWbHKIBeTDiv:GwKaYYwh[;DB[:>^bw]>>sAfyGaZHfZiXm:`fWn>Wg_MVn[wuiCLKDOGi:=FJ<;>fqyZByjhhyBqbbGbLF\\J>uhglEq_SAbxhlDXc<?xJFxw@\\B^:<>TkU`YJ<SKEPahyjHyy]N`<NxmvHmnOdTkaPZDQA`YNeTUxMEINJ<K>L:<\\nP\\XFxZxoJ?enVsA^jo@^NHnMxi_PaA_b>NZ;\\BjZELm=L=@Y>HWyLTK<LwTNW@kB\\J<Dj:;?FH?YNiR:MrlkB[CDB[B<D:RrKU<=RTGxZE:B;@VkIRRXj:=NJZ;L<LNJJ;JBF:K:J<DRWAyyAJstJ`uRH_`iAZ:>Z:Fc?oc>oo<?f<3<\"\{\} Making Substitutions \302\251 Maplesoft, a division of Waterloo Maple Inc., 2006
<Text-field style="Heading 1" layout="Heading 1">Introduction</Text-field> In this Tips and Techniques, you will learn different methods to substitute values for variables in your mathematical expression. Both simple substitutions, such as "evaluate 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 when 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and substitutions of algebraic subexpressions, such as "evaluate 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 when 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 are explained.
<Text-field style="Heading 1" layout="Heading 1">Simple Substitutions</Text-field> Substituting a value for a variable, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==, in an expression containing LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==,LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbW9HRiQ2MFExJkludmlzaWJsZVRpbWVzO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSVmb3JtR1EhRicvJSdsc3BhY2VHUSQwZW1GJy8lJ3JzcGFjZUdGRi8lKG1pbnNpemVHUSIxRicvJShtYXhzaXplR1EpaW5maW5pdHlGJw==say 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, is the same as evaluating LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYjNiUtRiw2JVEiZkYnRi9GMi1JI21vR0YkNjBRMCZBcHBseUZ1bmN0aW9uO0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSVmb3JtR1EmaW5maXhGJy8lJ2xzcGFjZUdRJDBlbUYnLyUncnNwYWNlR0ZULyUobWluc2l6ZUdRIjFGJy8lKG1heHNpemVHUSlpbmZpbml0eUYnLUkobWZlbmNlZEdGJDYjLUYjNiMtRiw2JVEieEYnRi9GMi1GOzYwUTEmSW52aXNpYmxlVGltZXM7RidGPkZARkNGRUZHRklGS0ZNL0ZQRi5GUkZVRldGWg==at the point LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==. This is the terminology Maple uses to describe the problem. Knowing this terminology will make it much easier to remember the appropriate menus and commands (or at least, recognize them when you see them). The following explains both interactive and command methods for evaluating an expression at a point.
<Text-field style="Heading 2" layout="Heading 2">Interactive Methods</Text-field>
<Text-field style="Heading 3" layout="Heading 3">Palettes</Text-field> The Expression palette provides an "evaluate at a point" template, 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 in the values of the template to evaluate your expression at a point. For example, 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 IiIh = print(); IiIh
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn
<Text-field style="Heading 3" layout="Heading 3">Context Menu</Text-field> Right-click on the expression you wish to evaluate, and select Evaluate at a Point. A dialog is displayed which allows you to set variables for some or all of the variables in the expression. For example, setting 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 and 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gives: LCYqJClJInhHNiIiIiMiIiJGKCokKUkieUdGJkYnRihGKA== LCYqJClJInhHNiIiIiMiIiJGKCokKUkieUdGJkYnRihGKA== LUkjbW9HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2M1EnJnJhcnI7RicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJXNpemVHUSMxMkYnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSVmb3JtR1EmaW5maXhGJy8lJ2xzcGFjZUdRL3RoaWNrbWF0aHNwYWNlRicvJSdyc3BhY2VHRk0vJShtaW5zaXplR1EiMUYnLyUobWF4c2l6ZUdRKWluZmluaXR5Ric= eval( , [x = 2, y = 5]); IiNI Setting 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 and leaving LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw== without a value gives: LCYqJClJInhHNiIiIiMiIiJGKCokKUkieUdGJkYnRihGKA== LCYqJClJInhHNiIiIiMiIiJGKCokKUkieUdGJkYnRihGKA== LUkjbW9HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2M1EnJnJhcnI7RicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJXNpemVHUSMxMkYnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSVmb3JtR1EmaW5maXhGJy8lJ2xzcGFjZUdRL3RoaWNrbWF0aHNwYWNlRicvJSdyc3BhY2VHRk0vJShtaW5zaXplR1EiMUYnLyUobWF4c2l6ZUdRKWluZmluaXR5Ric= eval( , [x = a+b, y = y]); LCYqJCksJkkiYUc2IiIiIkkiYkdGJ0YoIiIjRihGKCokKUkieUdGJ0YqRihGKA==
LC5JInhHNiIiIiJJInlHRiRGJUkiekdGJEYlSSJhR0YkRiVJImJHRiRGJUkiY0dGJEYl ; ;
<Text-field style="Heading 2" layout="Heading 2">Commands</Text-field> The recommended command for substituting a value for a variable in an expression is the eval command. LUklZXZhbEclKnByb3RlY3RlZEc2JC1JJHNpbkc2JEYkSShfc3lzbGliRzYiNiNJInhHRiovRixJI1BpR0Yk IiIh LUklZXZhbEclKnByb3RlY3RlZEc2JCwmKiQpSSJ4RzYiIiIjIiIiRiwqJClJInlHRipGK0YsRiwvRiksJkkiYUdGKkYsSSJiR0YqRiw= LCYqJCksJkkiYUc2IiIiIkkiYkdGJ0YoIiIjRihGKCokKUkieUdGJ0YqRihGKA== To substitute multiple values, put them in a list. PkklcG9seUc2IiwoKiZJInhHRiQiIiJJInlHRiRGKEYoKiYiIiRGKEkiekdGJEYoRigiIiNGKA== LCgqJkkieEc2IiIiIkkieUdGJUYmRiYqJiIiJEYmSSJ6R0YlRiZGJiIiI0Ym LUklZXZhbEclKnByb3RlY3RlZEc2JEklcG9seUc2IjclL0kieEdGJyIiIy9JInlHRiciIiQvSSJ6R0YnSSJ0R0Yn LCYiIikiIiIqJiIiJEYkSSJ0RzYiRiRGJA==
<Text-field style="Heading 3" layout="Heading 3">A note about <Font italic="false">subs</Font></Text-field> You sometimes see the subs command used to do simple substitutions. In early versions of Maple, it was the only choice, as the evaluate at a point option to eval did not exist.. However, subs does a strict syntactic substitution, and does not evaluate the results. If the developer neglects to do the evaluation afterwards, this can result in unexpected behavior (and long debugging sessions!). For this reason, the eval command is preferred. Example Using subs: QyQtSSVzdWJzRyUqcHJvdGVjdGVkRzYkL0kieUc2IiIiIS1JJHNpbkc2JEYlSShfc3lzbGliR0YpNiNGKCIiIg== LUkkc2luRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMiIiE= and the same question using eval: QyQtSSVldmFsRyUqcHJvdGVjdGVkRzYkLUkkc2luRzYkRiVJKF9zeXNsaWJHNiI2I0kieUdGKy9GLSIiISIiIg== IiIh
<Text-field style="Heading 1" layout="Heading 1">Substituting for combinations of variables: algsubs</Text-field> In the examples above, we are always substituting for a single variable. But sometimes, we want to substitute for an entire subexpression involving multiple variables, such as replacing 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with LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRIi5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUlZm9ybUdRJmluZml4RicvJSdsc3BhY2VHUSQwZW1GJy8lJ3JzcGFjZUdGTy8lKG1pbnNpemVHUSIxRicvJShtYXhzaXplR1EpaW5maW5pdHlGJw== The first impulse is to try the eval command. The eval command can substitute for any operand of the expression, QyQtSSVldmFsRyUqcHJvdGVjdGVkRzYkLCgqJkkieEc2IiIiIkkieUdGKkYrRisqJiIiJEYrSSJ6R0YqRitGKyIiI0YrL0YoSSJ1R0YqRis= LChJInVHNiIiIiIqJiIiJEYlSSJ6R0YkRiVGJSIiI0Yl but because it does a syntactic substitution, not a mathematical one, it will only replace exact occurrences of that operand. QyQtSSVldmFsRyUqcHJvdGVjdGVkRzYkLCgqJkkieEc2IiIiIkkieUdGKkYrRisqKiIiJEYrRilGK0YsRitJInpHRipGK0YrIiIjRisvRihJInVHRipGKw== LChJInVHNiIiIiIqKiIiJEYlSSJ4R0YkRiVJInlHRiRGJUkiekdGJEYlRiUiIiNGJQ== The subexpression 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 not replaced with LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRJyZzZG90O0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSVmb3JtR1EmaW5maXhGJy8lJ2xzcGFjZUdRMG1lZGl1bW1hdGhzcGFjZUYnLyUncnNwYWNlR0ZPLyUobWluc2l6ZUdRIjFGJy8lKG1heHNpemVHUSlpbmZpbml0eUYnLUYsNiVRInpGJ0YvRjI=, because LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjBRJyZzZG90O0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSVmb3JtR1EmaW5maXhGJy8lJ2xzcGFjZUdRMG1lZGl1bW1hdGhzcGFjZUYnLyUncnNwYWNlR0ZPLyUobWluc2l6ZUdRIjFGJy8lKG1heHNpemVHUSlpbmZpbml0eUYnLUYsNiVRInlGJ0YvRjI= is not an operand of 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. See ?op for more information on operands. For mathematical substitutions involving sums and products of variables, we can use the algsubs command, which stands for algebraic substitution. LUkoYWxnc3Vic0c2IjYkLyomSSJ4R0YkIiIiSSJ5R0YkRilJInVHRiQsKEYnRikqKiIiJEYpRihGKUYqRilJInpHRiRGKUYpIiIjRik= LChJInVHNiIiIiIqKCIiJEYlRiNGJUkiekdGJEYlRiUiIiNGJQ== LUkoYWxnc3Vic0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLyokKUkiYUdGJyIiIyIiIiIiIS1JJGV4cEdGJzYjLCpGLUYuRiwhIiIqJiNGLkYtRi5GK0YuRi4qJiNGLiIiJ0YuKUYsIiIkRi5GNA== LUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsJiIiIyIiIkkiYUdGJyEiIg== Notice that while eval expects the expression first and the substitution second, algsubs expects the substitution first and the expression second. The value being substituted into the original expression is not limited to a simple symbol or value. LUkoYWxnc3Vic0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLyokKUkic0dGJyIiIyIiIiwmRi5GLiokKUkiY0dGJ0YtRi4hIiIqJClGLCIiJEYu KiYsJiIiIkYkKiQpSSJjRzYiIiIjRiQhIiJGJEkic0dGKEYk See ?algsubs for more details. Note: Another approach is to use the simplify command with side relations. This command reduces the expression to normal form with respect to the equations you provide, and optionally allows further control over the final result by allowing you to order the variables. It may be a more appropriate choice if you need more control over the form of the final result. See ?simplify/siderels.
Legal Notice: The copyright for this application is owned by Maplesoft. The application is intended to demonstrate the use of Maple to solve a particular problem. It has been made available for product evaluation purposes only and may not be used in any other context without the express permission of Maplesoft. MFNWtKUb<ob<R=MDLCdNVZZJ:@L>T:^rIADlkl`N\\@Nd\\QgqxHQJNmpdYK]yRwMwmXquhLMTqUdJUEpMDPjXLODpxqN@lXAlXqMNBlXalLRiuWysPyqyhKYIvUhyHimstxXImsuPPyJ=asV@ukpXwUWihpqqMeyuyAT>LJ;@RZ<LB\\J<DZh>ffA\\;?^J>;>BfZ^>\\B^:ZFva?^vYxixI]gyxYxixImxXwtwgciaXxtaP_Vyqyqyu_paYu;NrM?ms_eWAj\\QxvwkC@yWoZhvytffAyp<Ixjad@O_QqmdqcI?dWOxlqxj_xUwscfwXnhXvoyVeQo`twnifv\\IxQileWaKxpEaqwaxAoaGQxr>evx`UGsa>\\B^:At>uFuyYaaXs=yGQvkmwn;e[Qi:OxMerqYgxYbKcGo[dkwrhkYuiwqOvQwUxEGxwyxYy\\]tbGT_iiykyrYFWyg=GD]kR^_bkaiM;ShwyoytYEwUYrOyyp=DtcrCyh\\QvyOvhaX_yEi]ikQsredq_UHce<OxRwvWExQIYY_HMwjj\\Nuts=tqOtRXtXW`xs=MtiolXTthQwIYaQvcaxlpoUuPv\\YyqwGeyDYxMxnoXtjaPaIwiYovMxt\\nvEKWpWyduLxSZ<LBRQcedyyokdDWFssHKiXkMBxUyr[I`kFfSugSTjCv>WDPSdImIsEHCaFM_c`sB[]gkord=T@=yYQT;CR=Iy^YdIMtiMBYOVDGGLYsFaDE=cgOCA[vmSsX?E[]ekmrcSCAwvsmfWKEdCvLkEYqShUuOsRe_yMsCYCdpEs\\WtkUYxitZ[Dy_VLQGGkyxOx[OxkaIBmfhgyDmuwGS]eTWEB>IyeygyofaadpugqkI]?ftgTakyv_IvoWNIYY?YNoHQWSWaiqWSsowcoeuyyxAsAwXNIeLqROmUWAg=ieNwsZuM>LZ;@rRHwyib^h\\PxkKP^\\Q]ifhWWfcxc^i[P?ixG`J?xSHg`HmDHl]vbPP`horKNeD?v=y[y^cYAgqN_rNZFIcGwcJFicIc[Gd[IaCw\\;XgAXmLxfXieB`hwXt`?`_yd^adkWakiwn^qV`aHQ__>pSGaLo^dVcywuiHi]vwgoytOdd?oVQ^rqyffh?GwQWbZQqLadqpidHZcob>GxNIcyvsrX]SPt_Q[:w^[Q`mQ`jW_\\wi_YZ@i]q_u@xyh`lH^fnPlI?q[gZ<Fj:At>w`tyiIV^Y@c_neGXq>I_XWnaqjDAy=o]k>d:Ytx@y\\Yk\\orSvffFyA@y@g\\aagc@jZHtFQ`Ea__a_iocJQwFAnu@r[NbtiwPv[KndXhd_AgAa_l`oonmHwmCnwn^nsW_YpoSvhuoxrPcSVgOpZOxbH?pwofVwta>mZOjLQcKg\\aWoSO[yoe_qldFosXisg]La_<Xe__ipW^aFvwFgjA_JNm[@vqgeeyjTQbXop\\nxLotuh`MY^sGqonrOxyx@sAwsc^cqV^mqw:wp:`tKxcZ>\\B^Z@p_tftyYq_gb[G`@OqapbhIbZYg<xZuAy]amI_aximqoucnnUpgtPd;YxCPwvgiigwW?pvN\\KV`aNmGAvEPhNnjBWghon\\YmFGdRgwl@jBQvZ`sMv[yXqcYZhanGFarFoia^BYnu@aCG^N`edasZ>xhff\\`iB`lDokv?sQXe<Nwdnk\\NwXpbOXkTFpUGavon;i_\\neAaviGeapitoi^g]biooqr]IdX?`;oh]piCo`hq\\OYdtPy\\v]OIeOyeSgnrwphQyiH`CPqlI[>NZ;L[XMwyquhmaqMw\\YZQJletpIkPInjlyBmo^yRhiV:`Q=yJmiRbIQqtWCAN^`NBUqKDLNDVeXn:<Q[EtF`OTMt]ukwlTVyYyiycYx^YlImLYaYmiStmwSyVYhOCtWyEx;yJY\\LYiYqiUSxLKPrn@J`XKx<YDywEtOv@lPQtb@Lthvyyvm`th`t[TL^UTA`UePXsen]`YNEvrAv\\Xx\\YkilloanOxwYuSGDUPiKd<P[YyT@nYpYtIO_HU^=UmTMvtSVqWSUsQilnaJdquuuwwxtjpp;PptEw_xldELfeq]pX\\@YYpYtIwXtL]eX\\XloaqMmPimqsqVkYrItQnYUxLOEusadwniyqyuY\\T=@TIMxC\\J<DZ[ho>`hdxyQx^@p^EGZvIZq^^kOZp>hlIcGG_cfuT`jhqZAi\\Qa\\aOxWFrdphBg\\dgc[Ogopa<^th>alGldgZSo]^h[DWavAw]xkDxvXXih@aqaumWkUpgtH_wqrWYkjvkrNvBppsqlYQieioC`isXoQ`jLikS^e\\AbSQ^IwwxXyhWj`>uGvyyFsYioI?s<FmZVmtN[b`v^EIkDkWvIwIx_gV]bsuJhAOgXQwHu`msq]qLUR`HtxPydYo?iPQaUMMUYal`EquEoxLOhEORhqSumj=x;yJQtNW`XLEwTmrqqOu`wL]Mq]ukepXyX?MtqxNhXyxUqTtqfxjliPwxxXYYMUmdyov=KYpKOPXJYYbDjI`QlAs:xUyITAmQ;@RZ<LRLmbaXyywhisFhpiuqwqX\\QYb<QtpKIMTT]YglWqpNbTQgtUQ=P>IK>IJWEKcYp<LNl`miUnOurGqRx=xtAwyQWehoP]wyxyxirdTofPTfmpSqV?qYuiwQ]sktrVdKiQPEdKSIlOQjrDm?tYjIrATtFlqiYOfhoJqMw]xKQxXXL>ux;xT?`s?TngpRmUpKDv;mYOtRxaSH]nmEM[`WgpqtQwctsldqkuw[xjXLOMqw[MOVtsqxrGMYByVOMuWEwJyY`UosmUD\\j^MvUYot=MvUVKATSXn:EOgPo^]v[ilQmUc=WZyRXDY^UrtuMKhT^uvsAvUXWl@rrQu>tucUkvmyrYvIXnKlYNdtAlMr=n[QyKyRYduJmuvTRTHph]vh\\UhTwcynYpQS]uNpQdauLUSgdTvqyuyw_eYaIYLYsaPwVYLf@Ox@yxtugMkqISApuIiVfiv?eu@mOhQPb@qrxlYuTXETL\\YgElQiM^MRSAlpDOS]q=hJLYvQEqbpoe\\YDIvUyWyhOmypbQnEpLulwrXV=EmdhkrXuSxpAdpSusemuP@o]PkutlCLxmYWXpU?XotdtUEybdmXpRIyYZ<LB\\KA=YyUmIMWPEXMPoklPiYxStxv]mjqQrPWf=vqPys=riuMIvv?HyPVxgPyygj[nwbiyyvyCv\\HvlmWaLAvXDQaroqTWeXOQdIArM_YliuqMuN]IHIWWmU^idvGiv[dy_YfYXhWtgGxeGutkDkEivIUquyYsvyuy[GU>;iGcSscvNgCTaVxiuY[IkarMCc>ksxSyfifZqWsgvP_TZ;dI]hCihQqUu?epMucUdeyrpWuhUePUuYgYpIu?QUeegOoV<ISAQdEmGS]ivQxEirQuUwedfOGUeWogTSkyFYHIaeXIUsevOWcostVUHgAw_gRGaiuUygyhaccrefOoTDMBUAV=gCL]IVybJoEn=t;EgZwWrGv@OV=iCq[GWITJ]epsuvUxNss`WehMUf]ikqr_QrUCDKmuyCv>WDLWcSAy]ycY?sUCVguhWqXcuw^YTHEI_cfCwxb=e^YwlYsisGh;iZQb>MxVEs]IE^=XRIVAgF<_YdIgaofnTYiiqqMl?LX^HNkToypstTw^LnxEx?yLaxviPqdQo\\euoutGEW]PpxMycyncts^yvFYPIaSkEpuErPXUhEUf]pKqRcdQtuMMPMiyoqpeLYyJniBXyawmwolT^]lW^g>s:xxHWagapNpafF]QpetGgDYwvYxIymLQi_ilQo\\qouswfkAy]ykQv\\X?i[Ou^AjrG_EfgYqbv?__`a=oqP^ejGrnX^UitQweWP]sYdIgaO_ayaymI_h?pxQyey\\Uwgwhhdvd^_bWAm[ojSNk=y[y^qR?f;hZDHeagmofnEys:A^hNr]qao_jgYvhhqpQun@jdYvIxaHGy[voBqj@ny@Y]i_nHafshvPXc_Wsw_lVNvMguJQjmX]i_qk`iYpsIPh_^sAx]x?aOYb^IrSPaxXpVqwuxwXPrw@w\\XkDHoapmt@meoosPsr?iIGxJwaoq[DQteyoypm^GbWyevGx?YlfqmsovS`th@[=xfOo`^imtFqIqauantAcSFhW`hVHh@I]ch[KxcxxlXOica^UomOgyW_fKhbLomiWqgqp\\gjOndbfLeW^qvUwWHeXFeeYCw]qIcufWMTqOxgqh;Cw=mERmTBwepaSsAdp[V?gBAoHvSufUh__yJoTdYFw]BP]GHQG<QrBuY;=UvWSv[bMQSx[f_Au]ucGMsECWVmYsivEGc`Keb_TJSB;?RZ=I<yDRUH@qwjWrHcrQyUyee@AhWuXWihVSY[YSFGCFmrgCh>QDcwY`]c`]cZ]c;iFCkCAYyjUC@Yd=sCv;HGwBjeiekgrOFGmReMdToyUkslmtSuV_SwuOysmgKysmCf@sv\\IIN[C\\yba;tyUra?EmKwHwcnIxAaEm]S\\aRQ_UlESTSH`SefMhNkGvKVTGW`GGs]BM_vvwCi=VFwbYMGVmrssvt]U][UkaF^EF_;sasx>iB[ACBqCxMGx;Ba=vtQREcGN_vAiXrgdEavayeymSD?DlCtRythkYXYEeSdxGsMCWOseqiHAIYToBFQGLuu`oDZmh\\Ob<MGc[BVAXJ[x;sBV;TfihQqUc?HwmRTOsnmusuv_KXHEvaqw[[UA?SMEvvmtWwxQAU]ec>]hsoBKIf<KgKIR@Cgv]iI[hX=FYgV_GVrQI<cYikhRQVccsUyWygYtABByHGgcDkRx;yi_y=]caIeame\\qeumwcsDwQsIAlBPtb<TrlLX=Y[aTkASattjEU<<mPDyi`pKpXBayQxUxEuJEJnTMhtlttXIItw<XBINA`NeeLiYsvpR_uR`yRWdXNUr\\YNy\\WKpS;PP^tybdK>xJcXj^PTP]YJmQVyjLPXPQjgDsGpSEeKQPp[lSXiRS<lVHOmeledx<PYmxwxXy`@qBtuQIpjaK>Tlr@YiEm_mlCemZDvvhxPYUC@vEQJ<lNW`XLalY]udpwuxwxPTx]Q=DxPhx?LJeHUGlwcXx`pSKumCTRxHndxOxTN=MQBUxXXYhImDQteApAYj?MsaMTJmTsammmssdnUhmfDRXmPdALBuKIQTa<oAPoq\\Sn<lAMtCmQOmNNXJlaR[lxnDoGdvg]Js<sIiltLrZ@TOqOmUKdPsO`XBisIHrGpxHurDeq`pybpsLurcxl^hkt]nxQjvAoGlpLxkPqL;LxwXtHUQ_dJelLbxJ<Dj[qKoIxFxSFhqFXKnyoJTY@aSf@wVunYmVfDtrAKslv=uMFaN\\txZltTtLSTn[DoTtoS@mOqjj<RudTcxmQuuHuQipQYUvPDxjlRklmCxLttRemtyYP@Dnb=kaDrS]vX]Srar=DsAixUyPAIjQ=nVDPpHxU<n^<Wf`usuvWXTRLvC]YeELt@q_Dv:yvRTvZYXFXyBQkuMxHDVF]Vl]kklLbUQvuMuATDPXS`KPTKxAMyDK?]vQPKaYkR=oVPq`hwPEmKqmrMvCXlpek<AJsxL>=RWUXQDkZmJU@xJASwUMVELZLr^PV]@vjTQFaSp@Jcqvwfr:HerofDIcI@cdFgP_ysIeONs]ppZW^I?qm@lp_`pO]i`iKfbf@qaYe^PgKy`qId:@suN]rflNV[:FgA@nCGu[o\\YfoUOsOnyB@g\\qwlannFkvqvAVvBaebxx[vqlg[L`gCYpuhi[v[xhhlyvNWdGgtJvdx@iVxuBadlWoTYmUgkXGvZ`[rPvQxnSP`?o[FQ\\JI`[@rZo[_qmiwvEhf@ww\\VbT>`_Wj\\`jo`b_IcT@^XahN>sWwtOxiGAnMx[vyacV[OybgXq[`iSwd<`ixvyvYxKqs>H^I`liFgw`wlXsLQZpofU_m>WtCA_X^\\lgrEhb:Ox[yhx?tKgtXwvbng>xru>lugaIoaS>bbAjCwqNXaiaoWGbOhx@p`<`sca]Cw]m^dBAlu_j]Y[jauONtGGtnxswnxRY^OYfNncsHv[V\\fnfBajjHmwOxtinj^dQaqgIl@qdlIZnOuqwuwwhLX[o_mH`qda_O@bZ>\\RngP>\\ko^N`ZtQcGolCipTXwnYsVNdgxhR@gm?oyojiA`;YxTYgihnkn[xhr^x]>huIN]`o\\YH`T@qjpbbxaaypmWZXhjIHrE^rEFk=wb@_pdyySV]mqyYH`A@hK?_Hoasav>Y^pHu`Wm>ijNxaGHj\\qiTV_VXp_aunvaN>eeGnCxbDgjpok\\_[?oa:nyCA]eH[T?^s>\\YNpGiuFiyB?j;@kTy^[xhTncxG^j>[RNn`ab=g\\?HmD?kVNm\\XlIG[Wxg`opswuC?[TG`^`]\\faiaqmq`RwaNArb?dRx[c?aJH_Yy`TglCIknP_Pxo?Hx=pgVGmLo]VWoQhnZv^RQyii\\S_vVwsZ`f:OowiahY`eFb=qvUW`eA\\aYwhXqhfsZXb>XxWy\\Bwqp_]mwqCgv_viY_nnvsmvuHOuwv_Hox>_uOxovHrtF_oa`th\\Bgx>i\\Sfls@kcnvZ_sN@qBInF`orPvDh[AH\\cneXYrwQkiOa\\^\\BvuaXmaAdZG[Qvd^NwYxgcyvsAdwftuQwZFsiixQyeYAlQwua^eoI[lisf?[YeuowsOVaivNwf;iv_YwuMxMIuCssqiGQOX@GgV;dIMI[ewnmv[QInuScYt>GbdqeiEbb_YrIrIoi?wEm[TnwIp[fZ_EJ]crmdpoSUaR`[UIxPQ=XWEppaXpaNYdteLxEhRLiu<QRsAK>LJ=IMTaXBpQKTO@TvYlmQ<UU\\r=ATX\\tiTRxIpjXPS]ru=q]DxvprnEOk<JXhj<LJRTWnDsdxkImY_QS=prUEUjhmQLWf<LAEWPyye\\UtyY@aM?irrmj?qRvLjCLSruLhTwHiyvMVgtvtDysxLXxoVQrhhkv]mI<wBdjv]qO=yleNQAQ`IxHllmmo@\\t@myLlqDtPQar[dVbTLNMJa<LL\\QO<MgHUmpod\\RdLQOXK\\Lw>HuC<NxdkltMtDLaHxjpK@@p[tx>hnWtKNpOvmulMXOxwD<v^HLLXk@Xsi]OdLUvuoDYwkYySHOl@JbaXt]oT\\PjEyRIRNAs]tu\\tmbdKfxj[lSalyDXkqaR`itZhuw=OyuUmtuXpRc<PLMJvtKXAm>=QohlhDv]TXQmSNAKmYrFdmNlv>plemW;TthhSnMOFAVB`sE`ku=ulUK\\tYRHQShjJ=uThnadkn=qTHvKMusmjtHNMMWh`vbIQdAlPDp[@VrqW^MlmPQQDqcISHQTfavperfELUHM^Qp^yQP]JomWh@u`iMWDY?iXI`q[Eu<mUvqVpAKMuPD\\MkMW@MsqpopMlihwsHMn]peyjTAkuXxc=PJUq^\\U?N[_nn`ofR@d>?lq`cNAsGVkBx[Rnq?ppVq\\_@vuQ^B?tDoa^XghIqaqccqnXVfdwf`fcaOr>NZ;@rjgjr_Zwo^e?xbYb[A^vyfg`^ZQqr?]DnZwy`]sAGsEmgCWE[_rJyt\\?f:Yvj_WMkCiYHcawhSrx=ujmYTAiMsWkQRS=GNygmqSeoyY[sssvVGGG]UAEYtcynYtEixy?xB[gY;GYKXgQFwKUIGBriUoCSg_xCWSrIVwMX?QDYWFfKvxsyvYxMiX^urRuCjQY;WRjkIssXEIIKwcwEieix:Eht]vyyB>aDYWGMkiQMhIqWDUi@yvHWWN=Ex[T\\EDSKGjetfgFQAFp=y:KTc_vDgfr;y@if?sh_;Cewg]=rwsB_ibrGH=GsN?ST?gr=Da[g`KFaqW@]t<EVcUwtcHLoRBCt?iDESsF_DYcv=YEVos@ArlWr<UuGmHSaF_GCm?FDIbPAVJsEPEDlAs\\AH?ifH=RuoRcGRCmgTuW;wuwoe=iSB]FYyuaGFk?UFCUluc@icL[biafN?bV?xtUrN_YjEXSiWqguDqCFeveKTd_y:=yKwCcUxnSW`CRkIy[md^YEMUGEGdKwGxtSvDx>QXptugpVh@qLmMfXtZYrmMKUxKqAsadvF`KZ\\wNINXHVkxQsATaqvu`ksPXEhT;PQ>yJBQM`yVd@L@\\vQPp?aNftxb<r`eJhtOYHt;ml:pSwtmwxsIdT^\\QdyJcINY=mWHT<=kYxydxs:HmdlJI`qV\\NudXlQX[UTUDV`As]isqUrjiWEdTh]rc@qSuj[tTs\\l_lJ>Ds>dRJYsIivZYlKlMaUPsAJf<VbLQfXV;mMRMjv`M=Dj:=VrLR]]l`TmbYRwuVDekCMY@hJ`ak[@X<lLPUrcpKw\\xJQXv<Vf=VF@VfHJVyvSeSPEp;pK]qKeMNluSDPOHENX=s>YOyIMiISY`Q>MUoyiy@m:n^G_ky^xyAx?no=I[k`oJn]Vfkov]TVpBV[QHfXYjIIgladcgfvwfVwjMPra@[UHhPWmVfuowtWGgfnvqFhBXojnsEGu]^grwZ]q]sYhi_ZY`iqwheGs>WlaXZOiZe`v]vyp@m`Yfq@Z`?[epkNwgQpj_q^mvm_p\\sqhYHiBPZA>s:_kNvqFGfspnfuV_csWyC?sicDDgRjOXsITvQI:sCLIwm;wvqVKkDmsuhYHhIVDmSXwR_wbqETZ_yXWWvqioWgyUhbMCg]EGwuMYfDKGqoD?GB[mb>MveCw^euGadTIhEgEY[hHGRs=Fh[YHCWJoeisHQMYxOxWmcvcyvsbLSRsIhpqb@gbuuDhGXhquOweBmeAGwsYsWMerwfgEVK=fJMEw_WdOxXYTrKgY?UT?xOaFfcfIshZkDZGtcMhmkdIqxuOb=YhFQXJoFswxsEEbcWNYHNOStsSiWi>YbeMdQiHCibH[C_ABECC[UiVQxpQwlgTWKfxIiegDk=dIew>Ivh[UdsbVagGyWoGDXigdsXyqsEYTYAiZEHUcrtIDwSrhIUXutmppddUhqyBqkVes^Yv_ykOTsmqMB\\J<TbvxqnIsx`iwVbxntbI]Y@hDy`=Gxk@rAalvxgHyr[vvYOkIVkx^qJnk`Ig<YvZpcyysio\\OYki>_Fnt?V``VaI@\\yPtP?rTW\\VXiR?qeppPyyt`yNx\\\\Q^h_\\c>aKxvQnc@ajdoaXvdG__`aethmVfqSgyBYsXFemXgcPxaF]rqkRgvTnuXQmH_^>v]fYu[GZkYbE_pOVmYYl_F^yV_>GglwyqPouq]pXb`p`pwy[PPAi^YGBCYaYdagcYQxC[di_VXsciqC_yw;cieyxvsEXseyUdP[ujMg^edaYUEOhwsis]etmTIivcaxeiTU=HaysEmDhqf`orbGE<[vG;HWOho=hYKvaoR`ie>wbcIWbIShQdKeTSaT_iia?XNoYQMHwEHwwd]mGYuCYoS>UC\\Qxl;tm_st=GGiTo=uW]iNIX[eb;EbjiCPKgtkfvout_YRgfCYw^wvaOgfWxtSgpKdqGvdwwv_EnieaieeEYWugMoGyyuDmIhSevsw;?RZ;HVGvwqXHIVlIXyOcmaH]iUxkD^aUiGEqUgDwTv?HywTqwyAksQ[XWyr^uEeGRHiRUGxkCYaaTkeFIWIISssWUOAuTacEuX]MDgseBkgLyBvayIsyY?iOeum=RVifBCVDUEX;w`keP=FY;iZ=XXABT;GsIracU>GIvAruyBsARD;sPcwrUcgkhBue_udWmhVUX[yvn=yFgy:=s=_d\\ctGCe]gV<ow^]u>YrsCGxmiFCw[gElmhDcxqshrcC@SxeuHjsuvUx?_Y<Cb:=Ftyybyyu;rI]XR]fNwCVIsrsrFmrDCGYKyWAf^ohD?RuqwuasemiYGxZmblQvxWv=GWQCb;AfZIgHAWkghxYs^CgWYdNuflUDeAe>WiMIg;IsvIGmuWaCfWisnoVCYIL]V`qW;OSQWijgCqqSp[vM;C>KBKyyAuyYqYrqtvQXiuwGIETeGqEr\\edxoXCMthuRTgfXKG>CuqoYOIVrCfv]hIURPCXpibwOHQIiFihZkuIKwS;GD[dFqbxos`sH_qX<KuJCrWuEwou`qIaoWLcw@My@Sc<[ElIC>KB;?wyYfyyWYKxouibQCfwTkYx[QelYePEDj?FSgbYaGZgtpUWOECR[s>CuaedmirCEbpaTLaY;ygtsBSmtdoXIOwgoHWictKveedtGtCGYxiiXOisCuwIRwEdw]W_SU>_Y<C:JJXM;lP\\HJspmJxSXpxDEJ[@nrLSXXxo<kZ]tbHTcLRWlUp\\TF=UhqjOeXTMYZxwleOeTmWlkaXwhHOuIV>Hy\\Mv;@lAtulqSg=nMql:etEuWmmYPXkXHxwIrmYpjljueyEDy>:vgy`iKX^uxhcAoCnkF@t>aoEAqdWZ]plD>[EfeC>d;VyPPmVY]D>t<peg>baYrSX]LAx<fwKx_lgd_hnHfkVFal_`sVo<QhWXy=Fb;FdTGy`feLocuhpJh_Y?aaqf_wc=NkCFw^q]caktX]lI[>:vwn`mm_`Mxofvcgfd:?c]^vKfoKxU]uw;RhaHV[e]KracR^;tX;glKTQ?g=MgQ]UQ_e_?g:Gb\\_YbgCJIVKoEN?Xokhh]fIMhLUiMyyvWX_yHcUvyCWGOiU]HNGTByFJ;C>KfyycxyiwaE?UDrQXsUge_uo_h:?yPyeTiI:ICJAT<wGBuW`Gu?KyhGFuUrqEupOiy;DN?DOIdkcdpOGseTg[SiWi:[WrGF^YDB\\:piaAyKW_qX_YW\\VQd;FsIwoVNcu>f?NZ;@bZ>\\B^Z<byAdx=tfExs?TuAEmuu?=rI=iHgU>KB;?JZZ@x_lWj?xm:puafZ>E=yC]UsiiB<Cb::XUCDwCiydxTD<SImqUMqQLSB=NJ<;?:[t?Acxoibcr]kSEsC>KB;JB\\KY\\TWLugQQ;UoWPRyyk@elHhVplTJPW:<J:<j^PNaLNQENjD5B\"\{\}