MFNWtKUb<ob<R=MDLCdNVZZJ:LN>T:`qxAoVCB`N\\@Nd\\QgmxXYJXqk]`QYlYquSuhydxXCQOPXmfTUhAvhAMUtLj<m:Gr@@riveB^yC_m<^i^x^^>\\Lv^[>xIFyLNc<>]\\Oqk^rZ_ckwlEnwL`uO_oXyohwqahwvWyFasuXauxfqwsXXougne^qihqtXipwfaofaWuuasmq\\E?q<Gm^OlCo^S`fL<rK;DuSE<_SlCs^SdFMHC:SBZCe^MlF;jFFs^VlF;:`kQMxSAL^MPOindAKTyQjLSumj@EoutWCiW=hP_Qqntpehm`ySeAs@DOM`SljFK=<NS`VllYsQswUwbes<IwNitSIRIqwhyKfYwhuOKQvXqPsyX^pTaHllektLSSioVHS`Dm^;HJJ`SlDMA`Y`yRI@twxsiQnUyM]LYMIue\\vpXR=UNnXYZ]kxUyLitnPVXakf=llDs^T<n><JLHS`dklxpy=mhyYhUKW=qdAYTXuWMKfYMeptcijgXqbaxOTkvhWZmQhUYtUmqYyyxMvEj`=WpUv`yuv@Q=tMS`VLHcl:<JCaNMpRSQXZ=lhiujhRhxQyXxZdWy<Q>uPWUXX`yw\\PPenAqUSyRIuWVqREyLFInMixktQvMWm`JVLLV`kHPyOhltHwEyMrpjtMuEHu:qVLHS`FSJ:\\NM`STdvpyRXhnI`ukAMWHQmxjh\\QxmOgUuYml:TvGXWPHtGuUxIKg=uSyRepLFunqyUkmpAlQxDxwxJ^QypIpTxTIikamOaxqyur_Du:pVLZ^:;:CR;GyNiFeodLQtSguXGEOYDAkB^;frsXXaXdYYrUBwuuWmYlGWY_uq?V^oRIyws[RqqImQHWaYIYhGcx_=v]SdFMHCN@^;DyODL>mktIxMxOJIxmXYC]lTivpXLVixkqRMPjSetgykg]l`qTaymn`jPqWYYvgYuu\\Q<ukhqNtlYtuXZUQphq[Ypy<xDascawJxY[tUrUy?axXXkQUL<hwTEu_Qs^TlctN<uyoPTvqkUytf`YruYpqOBaNM`cLHZJXnlIrmP^x^d[y[P_m^h_qFeLaw=WirhhE`jgIvwYb]gftQyTylbAfsptj_sSY[u?gkaoXOq^ap]IwnibmVdoxyCxwihnWxj@fvlWsMVmbPqyAnVqeRh`=YZR^[h^cZO\\oY]ZYvWQ]v?tKoq`GmVfuaibVfr]Ytxvsip^jHl`weLygKavrWoCywka]Ma[nAek>v@_^NilCo^Sl^MJ;<sk@nbiRw]s>AQHhmDtMkEPChXqTM]HuwhmnIqqiUCuXwTpKpVnaXs@j]xR`vj>viIwgTIceqpfQnYiyvykbhowhmhxawG`wxxlX`bXa<I[vquQnhLIjxpaCNaRohvPpWYeIVZKpf<Av]VlF_rKoaxOowxc<Qkl@gkAqn@vC_c[XgXpvWHuDI`vn\\cwq]fovXpMp^;@_=N`S`FMlr_^MxdQ`sUptKFofYcPYbiwZ:AyCYliFtfx[yGjxwyvhlnqjmqc_XcH_eZilw`wivqNP[Z?`JFvl@yWna`ItyFiAOg@i^M`cXgo:`cFXxr@ogGcfFlJYafVsYw[yq[iXxkovt_ux@oYicIinCGy`gxEX^jgi`NgvYv:xf`Fm^K=<NAXxlpLGyQRMN\\isVtpwTlCIlExSR=RQDqEYyi@QMmbogvawgMpqT>hJvk=>]GarfVkoYxH_eDwurHwGQtsguCqogo^COsR?wwFlpAmnNkhWoDAxiPj^HiXQr]ggxqcmpuDqqnxuHpduY]?Nn@YtpabYy]c?]OHXYH=SGS_VLGskcB:mcnOVykeIOT@kIHObLyvhSS`]XMywWeYXcicaiM=wiuiwuGwMwpWyHSiX=bIwcWuYkcY\\iwQ_fPmblCYoUsrmeymI@=cCIgyMh;sTNOvvCT]uD_Mt_eHSqSNcwRkEXgNQuRNEuPelpUwjtswAXiXXrAyjTwLaKn`nspn\\\\TphN`@O=<OS`VLVfC>j^OLaS:[Rx?xxyHJicQgecCuJoTRwCMmuqEuS[xawWxsePgsW_eFqv=UBwaxIsyvIWtwvhYYbivgWucqfIkyHcYfYfYcyOIT>YH_KvOECroCAEXP[DYccDauharVYWH=CB?cRgXxkrH?T>gEWmGGWvrMebOU>Ew\\?XKMCJ_Xr<XLiXcelkHQVQXcg\\KaZN@kF>o^OlCo^SRLgDjCt^iBTaw]mddibHeg?UutKTlCEwISUuFFQhheikQTtGwuuc@[eHYd^EvkUcbiEaoG^wCVEYpcGOAr]MH@YxCiCi;towtXUERqhvEuLyUs?WTEE[]DyuCaciekUGKSO=rnurOaUgCS_?vyuXWiyIewQUuWcgSQVWaeguvgqhhSVcesPmg]yIEuh]qy@EE[]CpKSPiXsSx_WsAaBdADtAHwwSpYtr[skcSnEgKGUKCHuIyTWItubgeRyUEbcrq]FhYuL_BZMU[mG`KHNAXT;fLCsDaViocFMHC`d:OttnrGg^?^_GX\\Z@aFph`PuENeVfvtvuvoudFqvwyKh[nAtEXabIjQxx>nx]VtsamcgunoxLIenpfcaiI^hnP[lVtnytDsA_BySCPkceoybOXCMCg=VPoH;as<ahEuSl]vGOXxiWOIWq[y:qHniFf_BC_vlCcDuDoscj_D_Mv]eSliIfkFsIiSsC:MS<[R]IEMsr:[E^=GiqhO[u`[cK;CfuCfWEoQwYCvtKfDAXaiTyiGOqdJUw`EIXyD_mbesxCCvOIV<oEyaU=?Fb[CD_sYqdhswb]T]muaaCn]G=[sJ=wsWDGmwRSxVesyGX:?f;IGx]eIDR]yXJuS]mNPdxf`fK`clFs^ODKtDybs]UD_iBoTjOdfyVUMyjwHk=TqqVRQVNCbkEW@QvjMGtitJwHWWiDmGpgR;craGuAuW\\swmke;eyryUwibviysyswmdhGi`QWsoyWywvUe`aGXmDeUBy=iZuHO=yHabkAWOIdQ]EHKcH=IX=TtQH\\AHhGeR_WJ=VG=SKGSmSXUss>ISNueWsSSyDCwsWMdieTmwVPWsrKFRmHF;X<yiOyUyOrt_VCMtccxvwGVuRrAE@;Hf_wq\\P@qY`EXR\\MSXjVuL;YxFUXmljAQNhayf@mu<S>pQ>MrZgnGIg_gcZ>_BX[rQlnFvMvxv_qnawmPxiwvnHgn@f;Qj]pxWO]bywahaunhJGnNOn_X_P?sgWepng^Pgs`cmw\\h^nXpuXI_Myo]ha@Gclfg`acThaqog`h_IGdSPcqYt[IZJX^Z@bAG_RW\\OqgEItK_kIhbrovDayRIimFi@Qq_^kgOrD_ybPmAynSqifPcwNvNOwowjtyrNOp=In[Iv`hh^Q[?Ngin\\c@mm@oehoJQduy[w>qPp]s_wCNyFisY`newowprUHpwixqpqgHoLYlCIpanvmP]VHhPFpDxe\\PtYFnwIkbfgehZ^OtFyp[h\\m@`A_`XYrHHn:wv<?b;aZ=fs:wbNIh[Q`ov^t`kshaVwncFvlGh:wjQYntqgpyuiV_T@jb@^dAh\\nokvmIhl<^h?VuHxZwOlsOn@YiKYyhIxxVvxO\\@QiTn^kOrYHoNhlD@mx?bSNihgutFqXqtMYhNGZBGif_cpifPamsnm\\opmWwPOuyxhi`ddHwBB>SvkoyCwFbevcsfrMSv]TyocpAEoSDVUsMuSycyboUIIghSypaw[wnQQyDYoipQ\\hWFenuIwj@JBg^MgcK^hnv[h^]aNy_`gUquAqnHqvBncwFeKpsSicIyhlxr;O_fF[aafqFyRa[Ghdc_oLWn\\ou`PlEN[DGiEphni[Kwy[pidYoSa`rNeh?a`P`pNb=g\\Ap[GfkJqw;H`TxtMqvwix`_dtPavhxhPnTvn\\WeA_fY>a;OfAWeUfxpgpMGrHxaQyytywiVi:Xb^@bohi=X^nhhUqhtfyNX\\lxpaI`bFZMOnBHukIhN?mrhmaN]LVspFoL_r:X]KnbbnlInnFYiVI\\;gjSaafPwxNwroaFIk:Pqb_Zt^eArLep<Tpf=yr`mO\\uHivGiwFF[d_eIV_taeI_l<vsaI]A>k<Ab@vvZot_^kqOqYwnObDwC`]GiiuX_Bx[sYqVYWr_AyxWW@qxbSxjSGKoCFUr^KUgLrcuNkQl<]LqTV?=YpdMDTwRAr:dwVIqmMScdoEllfDl:=nNqtp]RTYJrAJZIJ:DV;UuatoXeOa]oaPlZxSG<Jd]XNpKrhyAipv]wxYycapmxsxlvN`u]dNIdumusKEW]MoXySgTJJxT]aKklVbyymynIHtphywIp_MK?QLwIsOYWb@uKiRi`wVYRY=qqeY\\emihQ[ENWeY@IkNXsaqkXPX`arYxt\\IUw`xPYxHmNutnhtqWXsCmr[HJF=WGmJZMVjpPFmTs]lppKPeNBASL\\lA@PbAP;yJiyVJLrZerWUlyxLGAwL@V>XuRAqw]R=XlxMwhuTI<unpsLdSeuOLakHPlE\\kNTSlxyJANwAwauXMIYaumSaPVxwPhwu@wexUtaQwExetUMhvyhygxWxQsXyukUPnXLs]ULEujaopHqXdQK<RGEjkaT:\\QM<Uc=RcdLxaxr=jWAk\\EPdMbnf^qYv_owhW_uNwi`d\\ixpPojypSPrAYxYWa\\`_YW[bFysf[V^cZ?vBviuHoFXm:q^FNh>fZQIyroZJ_b;?d]^kt>qfgeRpvWoldylxPbFN_NHwO@luYh[>x[W]HfxRwxIIb[xq@ol_Hxxfkuio:ak\\wp=p^cGruG[:p`Dy`fFkCwk<^[[W\\ZqfZF^G>[coZtNvhgfXhcAags^\\PikUp`IG?_S?cvSkfYuREayeCSF=dNkdAyEy]ep]ivQHwSxRYVNIuOidS_VGEFSOgqYTEAB^CSC?SeCV_UFDEBCOuq]h>IXu;xOYiYOfakhhiSfsxuuDi_fhOVucusGVUcymiEI_FPgYYAsS[xtiHa;ThAGYwtgwCy?SI_ijgf[uuSWS`AS:KtSMsAMeGEhB=T\\QbNoh\\uDGaXyqhayVJIStuuJAWSOGosbDixtcdV=B=wiL[UFoTber\\Kx:QC>Gb=IbxoIIGw:Sh;;DKiUd;st]S[Qiteu]Ar:AvqeiTefpORXMb`;B`kTZmRDiTdGUsKYfIfA[TUSYqqHWSeI_yKyEBUTgwT=_cqIydevr_flocbmixCTwmSEkd`OgjOrDQsvWNBTrxXXXaKv]JZ@Vj@NaDLVQjsux:lyeAW_XQihY\\\\Y?]uixj;@RGHR?`oUytnUWvqQIMqxHNGmtKawK`WY<NCqNI>h>hvoyl;pZIXbOwkEguCxkNgZJHfA_gQNqW?jIFs:@_i?iYy]>WZKVkFwaJVs]?dFox@aaqVlCFkA^^<Y`]V^SwkO>xgGvxwbldcIGIeGROU_?I@]Hy[h;;Y^gV<mUSAiKmyW=YvIxL[X:gBcYukgUTGF_GTJOgOOCWKXyGDRGtGUgJEr^cBlCTDCHtQCModncYZQhJoTtauDIYGwVfkFtwGJWhHQIEOs=SBLgs;wcI]urucawCvkcMqfIuf<EhRCUY]txWFskV`ihx[eueCgirogrwESumiAQxwaDC;R`KT[;clWBHsWUOCCwvdEH`PrlAtPqQtPVtao>mn^dwr`MCdNBIW\\Mj^elA@oRYtcImQh`tPuEGlai`QiQQiuYrpwVJ[CU?hXegOAslEb=?UvSsOmIVsDraDLehEOIuKScay:mHf=Tf_DlmYRWHcWDoee\\qV<Ud:aXTkVZ[U`cC]=DAaDFmrmaDoCWJsHKAdnquROGDwy>mcKUHyQcnsswSGTiH=yEH=X>qFg_ftMsmSGNQEJ[vf?fLQUQkYsEVNwgcuU=OeZQY=Wu<WhoQSssgtkiyec]WwiOIVkWQyeduDtwGpcRfWDmGGdyXHUG_qCSmurGbW?gskYR;vtWyx=C=sGuKTskh\\Svy]vF?d;qD?_y=]GokcH=BRCyeAIPqWZ=UfssvWc_[sDEeuQrfATNOwY_xf;efsr^?yr=EwGhL;BDgVFwYV]dx?HJCbyeB^Es\\gRloe_urWsFSCDRgV?EGjSWiqiUMGnwgw_xLMIn=v:UbiKRRauAKciKsjGiCkV]iS;qx^GUvAXUof\\CCMEhoySycGGecLOyZmx][GjGrycxFYH_Ii<EYmcs_=YWcwlyWNwIyQhEQB:[wSshX=HGCXoqfWSCVSXHiBQ[SbODEoIVYXaiel]y<AflKWF=B:usjucksrSwr?wsCgSNQr]ictyEXUip;XwKfhww^ucS]uwEbtkdt?RUcV=yvxYbiMGEOcequxqXiuuSyDW]RUmUrErusTxoxkeyA_SY=iBoUmmwscSUAHAaxRMiY?YLSGM_DlgyZADOUwHURbGu^;jyLRfYkKuoOiu_pR_QSOYUdhtTPuh]lo]KmYkdXyIHqjEUs@qeAQxLqXpvTpLRMl@ppdHwuyVhlvADQaUyYHTfxpOTKNMscxqWdW_LLPhmRuTrpsnTs=ykxlVbLLGYw_EYGIqaundUuN=M=iV>HXhQrRMw;As^HjVaK[Yvb\\pw\\ofTm]yWPyUqlVFiR>UUkmN`IXE=UKDoAPySukRtK;EtqqWraq\\PsrTvRMUS`xR`sCpkrtv]AoxQmDH_^QhW@gNo_<o_JowEi`AO_jagD^^aoyo>^[YwFhh@f[`ixiHwaiq`Awlnkyg[jae]waxQojapdwaPIqV`ZdnktnuKAb<aoy>sHAeXGiiy`qIt[A\\sPcCgfZfjwgfwou_wpJAju>[=owl^wPO`\\FmNwj@AxxVh>`mn@r\\AwC^[AAZW>elqpInalG\\mpyXVo]HjVn\\jn_pHxUXssa[Jh^;wjiAtiGs?yfL_yuit\\@ny@ksylAA`gVZagjxYdQQeWxiGI\\tQ]CfywFcq@kBXijhljOq;n\\C_b=h[@n^VofJidRFnVGbcam_h\\H_bTPjfoi_il>yvbIyQpepale>_t>o=NZ_>gEpfO_cSiijxsM?lJo]E^Zo?rN?oOGbU>`QVjLH_uy]dYZAgx<@nxWpipfuAay?_bAdvQeO^]mYsAv]nal?AotGnNxbGQdAgk?nk;giMF_`PrdoZNHZbX[IH[uAZ;G`HPq@@\\@V`KwtVVyj_qsx[g?ZJ^]cH`=Gqjii[ouews^@hXyxhI`Gnarai:Ns\\QyIyvEnxj_qQAxR?qYPdm>^CW`<ioHA\\pVmSnmdPxFqtw_vFvxMghn_n_Yf?gqHw_hwuGwpv>yffayXfyfwYfxW>uQ^ceqnMv\\Fwnq_mmPjPh_RXbpoaipf[fu;NyLysxG_W>qehlZXpqi^aho^XxIxmIweuxwcOycYtUffwWpTYhngrcY_bimQ^mDg]_`hbftkGj:ho;@sxIr[OqwIlaGwXyvqGtHYb=peS^vlAagGsfOi=ImeFgpwgQxty@_Sqp]w\\Wix=Yub?trGagPeoO_WGiOitGXpeGn]WytyZ_H]OV`S^_B?^rorsw\\LQv?XxMwkqYfIvoowksvaoaouabVQk\\hjgQf<nkEXuaNeVylpxg\\_]wWkEqpv?q[yhWF\\yVju?aZ^^HaenAh_PoONd`GaZ`fu^oZWqUQ[PxgDgvRf]?HmNGug>dnhli?k]h\\]?mMgp_a\\m?fmVhZH]KFyQWyL@pY_ZvQalOqXa]=PcfyxDI[W`jj>qhoa`i`w_[SFcAfcAywTty]tO[eO=FDQx:_bckiSsTJYI;MBDshxQb`MF^aV@owIkdvGX;]Y_yuIIG\\or;yHuOVp[rqCilIe[cV`cV?ohEcWhcDNOi[MhOWh\\GRa?S;;IbkfXqT:eXmOI=qI^Ksq?GbahXsD@uHhCcaGsBeHlGTxWxs;UIkdhuT[eS]acHcREkVUuf[mxOusjOxF_GNGf?WcQsB`mUKmIvScEOy[_G<Ev<SBMotFmRHQDeebe[I=qsw=r<gwJ=uREfu_xdWg<KCsGsr]wRqhGms\\YVpMIDGXkcSg]I?ctgwdaurGQiSEd>qIjgB`aCqSG@?Eu;eBEe:OCaaD?aTVkgZ]uKuwjIf=mglQh:mcKSGPIvSeXhyRNiH>IH`aCy[vxyBX[dQqTPwCWyCvwWQqgWmuw]HSYV@;VVcXY=xoorw?XTouAgr^eF<QbtEr<?eIAbskX[mX;wwwkwIMepkc?YycsuDyRtgTJADQmuKCti;ijqhb_BjEXiCSD=ThuF<mxniCrwEPQYMuUKSX@QupuuRiy=SRnYYYEy?cupASlKUxatguxKyEYUYXcYniSQ;TAUYuWIBexRuuNgSuyRbygyoYQUrxWIXOubscsIrAquCeWcERBeg@uerqyTEux]djwCCyEvevhKyQyxVEg:kCtyVvEctyB@CwIyItyrLICvkShMyZywJywyItAMExKf:kEyAyquY=uurqugIblyriCU^csc?UZaGxIdy[iCYBP;iAoIuyGqStamywYxGcWwgxWuwC[yxqsQyi\\Sx:?rqYRXWd[yykuryqyb;rX_y`YuYQSi=ixiWnYxY_yRoiyUug]X`IEe=wwwwyAv>Ob`qTeQILeWqOWlkD_MBPaUsKer;hqketOfXyCP]ruEGgGeb]U>aF[=GTAeKsg<GBo[EpWB]qRZuBfKGSQFJKTq_gy]TVCtZ?hHgtO[VcWh`=WfYxxQHbAhwmD<yBdKs^Kseuc>wT`?fGqgfeI]oCZOTj_yxOegIR[sgdaCxMXWSHqQriUi`Kbn=B:eDtYVuMsyGfJYWUue<=V`guD[y_AwSEYgaeHohlQihOixsBnIfZUGA[XC;bnSEGShFuYlaRkwI^ECSudCqXNibjis@aGOuX[[X]UyFyeyeWDCDqsYTwWdGyWWsU`u=qT^=YYUx@pp<uuKEv_TlFLyR`PmmSi=yPqrrLqmaKrTpX\\Oa\\mjMjNmUL`mKIn:HmDtK>f_bNiJOiZ`c?hciOrDV]dqj\\@kx?bk_cE>bp@]m^r[q`^>wRf]_p]qYiAqA[dm[yHSG[=WIgdm]vSCWO=YvABN]stGXH?IQyEuwu\\?G?;Hd]w:kYX]YkiRC[y^wu<aFt;GmSiOcVXWbx=Vf;XhETQAt>sEJgDEydKYVu[tqsu>sE`qilGVDcHSYVPWg@UHS=iPAHOSG<uCdEBrgbiyYROI;[bg_Us]Y=Au[]gray@YXGscOWycsEqSuKQcl;V_[spmfSGCGUIeUE_msJsVMweNmsfWgXOTEGuo=XJoHhQIJOYV]fS;de_uYuxcWUMUbPkXhuyMwhV]SpMbI_RL;e;UUYIY^IIcaVX_F]oXUcXrwvxypouXMuntmL:@LB`J[dMgQxdLJv]y@YmiXx:QJl=XV]XsiTn\\Pn\\RYiy@ytv<j:lN]\\QxySxLpp^_:^nvQyungZhjEnvEgba?tgXyxymYIcqfi^yc_>g:GuYqiIi[nyyxirYGsSxeNI[ZO\\@f<YsFeSWKScuwc=G=QbxUe:uRT_VswYQkGWERE[uIGwhiiuai>wWMcFMcB^yFtgwPesUOUGMYqkEj_dP;uVkCMedpCxU]dloVxwRr_S?ITDiwBeEDOHNKX_?W]eE:UrYqRXqHhWf`[C?CmEQUTElAHy\\tWEYqqmVGUUKQmUaN=IvPXjP@kgiXwFxQVueawqqfsQcygerYwOgi@hhW?ohhwH@nZW`BHfyh\\hXgFWmsG`BAjnHg^GdlNbLxvsNiQH\\sOkYylogsj>cjY^OHhYHy;V[^A[pI`;qaGquDFnwWdBOmsO`j@ro>pBGjH^ga?nJooe>`<PqEHqZiaZfsW`pgN^pIe@itHV`JNgF^\\jFsSWvuo[SIswhtCnZ`?a<Iqd`sMH[^Iwj`IIHB?WB=BFeg_eTqscauvm=hW;TJ=uSuD<QSTMdmKYV;U:=sVEg^CiZHOJMu\\`WKIJx=nrekHlK^pMEmoUdW?ES:EMmUyXdtQ]sdtwUyqYpjFXxheRRaL@hSmMr<XX?<x;aku=uYpNh]wtPuTQMvqL`LUJyWptSTQL[YrZmki\\s`qT@`LlAxo\\ObAvlDSuqk^Am[`MhyQVYT:TrrisCiPUek`pLOqNdAkdxJaqXJiqYpKaQqVTOqYTx]qm\\l`]JOpV`]NK=jZHufQWLaofMlL\\PX@ouDW>Lkwox^x`yPjy@[F_n\\@rANnJg\\TYa\\V^NGZF^iZQsmXZsP`\\`vwwlWHbyihqYlKXyZo_Pa[:@bH^xWNk?v]QymqPaL>w:^jVHaqXjPwmtPcHqtwgvExy[I_jyhVIhAfmnOnDIoKYuMi_SvkhqsHOyuXmyf_;GkcvcxVpx>ZxnykygyQlxgyWx`tyTiX:gcres_yTMYiXay@EuHKRaQSJov<?de]uw=uiCeEwXvgu=;EYOyuySJIwaqHT?Vg]YsiFc?xvmwMqImMBJYx[SdSGtyEXX[CnMfNwb`Ei<KU_mBL_DOSujCtkGsB_YNKx<iCnib<GFTewJqh]ER`Kxsic<kH]iBhkvjWutsd@[D]IdTwCf;fRwvVeFs_gGIdjocwMT[uhG;DZwt=SywcvY]BEQsGmcqwghYXLkUscvnkwPYTiWG`YrP=R>MIqUsSgYAEhA\\RViXMhJ[Iwgam?eK[xk@\\pWDUGIxwYRJmOi=WkHYEQx`=x;LQZytKImqhQ`tj;@Rx\\Jx\\tSAy`uTd<k?hv?@LPpy]lwy<QxhuwtM:lkKup]LpwupVlp=\\KNepYaj>tLptvwALXxuGTJIPjgyWadKtMWXqYd=VALr:]pTuV:mLyuWpTqAQvFImAYMCPPcTxtMujPq\\hrC@S@DNfaYHqPyIXLtvFpOMPJ@=K<iqD=tRLTvmvGAmXDUXXwheRKMvtHqg`P<TXi<m<DXN=o=iL@\\WWEKsHS:QqfAm<tw^mJS=mwxvxUVvXm_TPFXVMlnlAm;IsVHUrlUR=n:yo>TMp=mf=J:YOFmxphwTiOAAwOqXydv]@j?tqNhm`pxcho>dxe_^eOpa_dIvdZ@uqP^jynBPlyaiIinNiuWicafinYcKXyuqxiYnhqx?GkZYvinorFeThj;awdNxD^lAPmpyw;x\\]xg;?Z^xisWtdOmXIlI`Zsvpi?u?w^XvqVPxWf]LajCHeAX\\H_gF?wqqmqyiJPiV?^Kiwh^o@GjSAyRy]vqmQovWvgsW\\wHxgy`@qxmodIwl>f\\F>E?deogvObPueuQUimrnGvxGFOcca;iGOFaUG??f>IUFafuQPYUj=IqIXM<Ym@AW@Iv^IXHHQuXs_Mn`MQAYVq@M[UMcUUkdYFTOMEP_mkN<SDUVPeL?\\PgTJj]TnXLq<UH@J:=NYaycpW^TO?QYHUpJdx:MLMuRUXOsdKxMLv]mqILQyrq\\YViWY<qrLmk@ocuUJ\\WAyW_mj_yjKip?eUTpTSXLC]wQHPVEoA<j@tmItpYXpw=JKxt]eVTpK;\\YZ`MmtM`]RtTlsArYQNDQqgANaAl]Hj=LyClJ=Lkx<RCUYHQtCpL?dloHKSPJmLsnMSs<uuLohemZetnixZmj^tV?uYS@XwdjqlK\\HvUqVtaqCdQ@qPuLuM]pCuUm`Khqp@tSfmMPpxXhWOyy=aJ_DvCLK\\`vjeqc=RBTQYXxFiXVPtDdNOlvtds\\`TGeX[umH@p:hl;TxlDufXrKaL`]QZTP`eslaLW]snXmxxQKMXflNCYJM=JYDK@\\m`]Pc\\o]EKuQJoPQXHvBuUvlmj@vRIL=QOwQOCmQH<T^Hk\\`lP<Y>lnEMvxujqhrs]q?ilMiy_yk=xpgLORHqSmQ_=MX=sMUMMYV@]vp@Y_uTn]rf<jIpmXIWkxrh=QREn_TkU`QVTt`UtCUKaeR<<lGTQuASa@vBhlTEYFptgEk@<SmyVnUstynq]R=XMrLtQUWoEo>HPuIjAlr`@wJeoQyq]qr:hyDyxheq_<VpaxxxKwInDttS@PgAKjHVtijVaycysJytxHXx]qmynKLwMayRPQklSNHjphK?`ucMXuXKK`W<@M_ym^ETlXRx=ycMLcTwdmPeuwe<O[lvL]nyMqwpP?UnChVRqmwlwVTw`aSfHTBxo;XLMtMNaV<Pn:Ys>MJN@VHtJrAWBtW`lmSg\\qI]bhjXYlswcSx\\;hhxHm<ivsWegfjg>_DAmFXZqHr:XrUqwbVxaV\\f@yZ^jvxx^>]DPmX^xTpZ;Nh@fsjV\\MNrKpf@gbWw]xQy`ndG@n=geEvpYOmgAbWf^UgjFO_QilyhZRhufA\\:BB;RLCTJ@uKXUpHo:XJdilsqRvtVsexhqvjMqOuraeU^mwHdsx`to]lbTSA@toYxp=opYw<ySH=s[EYGamZ\\yF=oB@U\\dt>UU;mR[QpnxoGht:LK\\aydL]P?ySWt=as?@^KPg<o_D>lb`_eI[IqoKIc[gp`ohgoj^ijjXxsnf>xsvVwf@uIqxIwivYvRwfnIv[HnBWtI^gQxxPpkD^vcng[VlfVd[Xf?n_g`tEfr>qaZoZVVyZ@h]aesNtQ^iUOrCFy:nc@YZ:?aeViLH[Q^cRpkp@mSow[`hUxft_n;hvK`]m^ui@eZokAXiFVv:>`GXgwQlEN\\<qaMFg_IwoWww@cYWcI_aKPqtVa=>f`_q:^vRGqYP]yXu\\hr_HvRV^KQdb^[gvrxwcDFpT>ap^dxnphneQHtP__iYvTFeHxlJGynP\\pvnd^sTH\\i`rNYg]qqb^mC_aK>j^^fSw]I_nhVd`qcIoi;XrYnjOf[P>myfgVQq]>hWG_dojJiykikioiUYyC>dk`gCQbiqxC`qOap]avoxgrp^Jqu`wpw@_OHfioiTpk:Y\\kWmtxyFv[uYvmGt?v\\b@t_P^Ro^OY^J>aAg\\_xrmxs`qx?xyUIvSid]`_QH`EI[]o\\PI\\\\>dQxdHXunnpEVpv@xgarwpp<gg^hyIYdBPZU_sk@\\[>lMf\\pydn^sLq`FHqBfoE@vpQibW]?ajAohBye@ixL_tfvrRXkN@fPgZmYn;v\\JyxsX]HNqEAbspb]ftTPxu?`TFosNsQNffp_v>jZojAi[QxjjqpjQt:naVvuvIsU_sYqkYqjCqbNaaahh;WrhIinyddQhSy`TWnwWf<PydNjHnleQ`Lpu:grKX[:wj^G]fGbWhZUPumQ[>?Z^>ZRAnxaqg@bA``uPtZ>[FwZPnktifeaqU^gPgrfGksItcXweidnho:iaIn^]@o=Ii=^y[xyFAm^a_HFxe^amqovhsCN]?WrmxmI^fQwpvn\\=Y[KYgsAr^fwwIlm`yvH^N@`;>\\QN[Ua`EVg:O[Pvfkwn>i^aGeNFyYhvAP[pVb@Vi:`c>wxmFg<V^D^i:?unqfxaysIkmojvVbHvfnApjH;shwmvn?v^eENShb?Tq_gZssFGV\\Mf>gssOvtAbb]RjMfAgSxsRiORPwXRqwU?v=cySsgsaccMIPcD[SCouxcuvfAhMwyK_Vy;yTUxo_WPyWskgh;v>]BeSHvmw>=sK?Em[xUCTa_sjehbuDZUCqAbV_gs[C@YcuyBa?X:[EM[YVksreEEsxMabF]EtIugUbDiYlUbxSTKATYGBZkFN]sq?XrigV_f^yF:[CBQwH?ybkrBAuwoV?QRcmsNkU^aWCYxUWDeqB=AdrSX]kFiShUiGeqUKosmyew]v_?ulSVhOBPUCWUwIkqU<wcyRQqr`ilZeNLaVylOw`wLAsFUqGLWjXUbarEmoGLPLuKxQN^PLeDmMUQ^@uC@kyAnJhoUAxf=S[@WGELIXuamsbPOp]rQ=ys=LVTVZ]jj`Pe=Vo\\lMLQ>HosxOjpOQTsyln[]yftoFUJt<xTAp\\uLmuqMLRXmNZITQqrd=qPEX]utnQQA]koMn<xNTDJ]Hy]dWhQMAusxxTn<xbyotPksAUGpxuXshHlTXqXen[dmaXj;DjCLN@QRFlJpyKQaR=<XJXpghP[IJIPp]LJZPj;UJYTMALXrUMyiP;uJqyJwiRw<yeMJGhm=AQiPQGlTd]T@TlCtyD`YHPYDppV=JlLktEOSqlaYu;qS_as:@PbAJmPTMDrbET:lJ?TUwqocujoqPG<VdpklDm<ppTIUBISZHjV=O]LuiXngtmmQpMXnfLyAXv^xmFXrsHTN=M\\mV>MrqIj]XrBTsjhq\\<KfiQZqoaTJv`YZlltuoTHq<MNYisHxKtMM=MxD`RpLT>@MLtrEPl`\\xr@wvuSt\\Mjhmj@Uk<r>Hj@=YcmjL`sCeljTjMdJxlphMxSLxsUxQ\\r<xKMEt[uVnUTrTqpHOByp;QKw]l]pOl=PR@N>Dn<EU;mjgmYTEUdXs@ex;Xr^PS@xVkQVYhO;=KTAllGeH`Z>?tFO\\>?x<@rAprVv]HVmDFrFGiIa^@_pDXZX>]A^vG@vx>mfwjSywjPpEIin>hGYrH_vMF^Mha`g]gigXVdKnZv@`CQj>iZ_>g?ox?`]HIa^`h\\iyNanGHotwa?h^ynm=`c:@\\An\\TguxFolns>YZ:>]I_^fyjcP\\?abrPbrqrIxqgQfSf[Dhfj?hJpqupiqfy`yqwA`o_ff@`ZNmMIu;Wtu^tE@pJ_?qhsOfL[wQCgVkE`SE<srq]vWCUxSSs;iikeOYGWgs]aRHYXf?W>=sjiC;GCQmscGtYwY^yCcIcase\\WBAOycAbuQh@GWNCta=wDWshCfoTYkdoXeqd<PpYwyEyJ=nhpSqxwVFZ?P`uV[MqsAiyu_yfAv=Qp]wthGob>eK^[B?uBH]DOp_Gk@fj[^ePXs?xkMPcshlvWx>xk_@cmA[KFqXFeI`mK_[Px`UA`Ix\\KN[MxZROdxVhV^uM?w]_oBPq\\qmgpjpibjpciguDFjl@udgb=ygefvs_nkFg]?x[^[_P\\mxylF^XguIFcepm_AfwffAyhPqoUny=_qWhcO`sgofianY>[DIuxV[ZYa_WyFHZSFda@qG^yhFg?xumFxl_ypIdH>^=naN>dfyZepatGjYabKYxm@^dQsU_v\\Q\\CQhjHyNwZVprW@ncxl^_aVyuvn_giZR@cSQlKGZj@ZbGrM^k^PjZgbtguYAhXvaNGoEyuVexCBR?vSuWEYyK]gdMEJ?VUmSu[smmwI[wA;yjggZ;u`iXEQx]_TSEFG;IawFQKW<aHuKH`sBnSt:;b=kdASVqKUmyfkYrZ[rnCt\\=D<qvc=GCqFfEVJKDOwHcGUrYUA=yg]cAGrEmYxKfWkt=qf[ofoQh]KEuQcJae`OhM[YAgBSAD^aB[AHoGVa]XR_x:[I:ag?kcmoFM?rSWrGERsmh;yRW_w]MrwEW?Eg<geyKRdOb_AHuAVPIcwAGAIfZesl]CX=U[WCAewLov]mwp;GN_eeSFH;CkWrm[dwUH;[EE]ukWD_[e]MFH=IYeRVui[_w\\Qu>wrIkvsEW=QFqOFMgI`UGo]fb;BbwEYqhwKhxUd;=vVwHquyvyvl]C<IIpKf:MBhiFxwHZkvrGXwmfs=VTqH`Orwatl;BsKGZAVL;H@aRC;EF_FZ?TfcrAMgLkXXOutSu_mIHghisw\\wwy[i;oYlGWYwBN;eCCBb;WmKvCuXKerE?boevSuFCqI>gB:IBlMt<GEnUvdAYaygskGRActke?cwFuwbeE=OH:KgSEItOxGwtEar=gIuwxJQH=IX_ivGWe^QXauXqceumws_XkiDQESOKhwMufCEDuXb=TSGX;aBDQvIMfB?yFMEUqDgKUJSgnsHj;F>Ebj]dvYFvsC?Oh<ges[xa;uaKFN]rwmBs[yqKUs=HuYEOMSrexokEW[xP?dS_f?gDI[G`;dwQDtCTU=E^]bwySTEY@Qb[khgSVUgv=kDhwT^GB?EDFKcOOREWH:aWREIM]SA[SHOEWkgAabGeWPWvgWeGqbqWvqAh]Ud]qt?Sd_;h;SrRyTq]ijOivgY^of<iv<EVg?wnOuvguFIB<Av?;v;gYiKX[[D>Ar^=Ua]Damt;yV;=rr;gBITRqug=Y<WBj=fX]hUIUJqv>mRwieseBp;ekAd]YvX_WIEGiCr;Ky?syIGEhyIbYEFQtJuF\\kU[aYj]WyWI:AB\\[wjoCYucdoBp;Vl;U=egbagaawjoUQIVpEEZ]vFStf?H:ArkcHgMc_EeZod;MbJ=B[gIi_ScAE^?U`gw^oie?Bv;H`cUhue?oVZ_ifwvPwyvyRkGF;=H\\uBRObtGdSqIT[GREdZCu^uvLAbD?HrESDytMkB\\CI]wCPgD^uD]aVb=rq=S@OD`Gc`sCr]RsAfRGVGesS]XRWh:aHEKcXstScdRqc?gS:?IKUEekVbwFhstBMf\\Si\\ebFsDvoycyf_Uy`OBbmtcmvTCHEIef?BtYVTgvjODEYy:ki\\OfxEXxmBjSIu[c^KXGqr\\Mh?SVJquWYREwvIYc^MfrwuBSrUkEQkTlwFEyI^MhAaCAQrCaECSy<ITjOfdyvVwHvkBKEe@YrZCBZeHVyXH?h?WY?SVdmvOGSUqrNeiYorGAb>II:qfSgXN[dHIWP?GXIupAx:IcBgTFMWCKsV[DrUdw=dUaHUABPGBFMrsuFhcxYkTqiFpSrwAS]SXr_TZ[U?ayYqwr=S`kC>_eusWt=b?=wUCg_kUL[V:uchSvEMtxAi]IE:=rQaFduIHYWoQtsQx]]EacUWeUlYvssXXaItuwuyI>ucx;XIcy<iR_iCYKGQ;WZUy]wcxKSYkymwinqhsMtXYdT;T\\wHB?e?CEjuEx[v;CTKUd>_BysBnYR@kT=]b`uwS[vRITfEc[YrZer:WEKadFUCeCxxUe`qYAOf<eVTEHdQXnORhaE@YhZEYwaDXMRlSdW=C=af:IiU?V_KR[[WbsEbwHWYXXAyHEhToiJ_GK[VS=ilSsm]I`efV=S_IeWwgS@lZMRYtoRXJXqL>lM=dXQEV`tm;=Rb<UAMyD]tc`SD<YNduqISUDOyMKRhPSqo<MQ:lV:ITZYVF`LrDTFhj?EY[`Y]<m?DlsDRdQSSloeuqA<j`]tAMYPhmS`jkTJGUJJ<OJInxuxPdK`XnZUYDLpsTYydqbUYFdkDaoh@UN<mgdXs@V<HMIpSw]QvqUr`WCUJ]<pX<uYxtsMRdPqieu?TNylJeDvt\\thhoYXLmDo[hV>pyo=QuDqPmkU\\SSdPb<otLKZW\\`Vxx_vuIc@_ylwxo_vgv_tGmCQeSxu^^keVZ?pxVx]sN[AIvV`_]qq\\q`F?d\\vskp_<>qRqx<ixTGpIYnJIqE_b<yph^[@Om?pxpQ^qHePp]iAifp_T_t;>dAwdIw_wHtBqrV>xCX[_V_^q`[@kXvoOHdmhcRxvV_h[iZXOpy>aKq`MokJw\\N>q=giwGp_IZrOrSVn]qfFHuKAqSw]rV^oVmUfjEijUYrxXoixqXoxMocticYp_OXrb`cPAuHvj`_^[Y[QxkeybV``UhiIO]]HX=fSAi^GWi]IuqFu]sjmCRqsqiRLey:;W`]Xj[EEqI]CX]qdNyxbWV]Ou:mYTGgluIGME:CCe;CPUcicgnGuEgR<ywbcfa[ig[SGybOMijEYbcJ`lLTer:HMMuxFHmnmxLIUnEsTXlwlV\\=kvYKqMt<qMcMJOqLDqjs=pfYOnypyLxfdQpXnKIScernqPtAr?XOcYry\\UQaJV]T<dx?hJ:LNduQ:=TLIxMyRdDlwiVs`VPuOW=Y<QRdUO^iVLURBqw;HPTxtMqvktN`ixcUWiUlFtJPhxeyPJqnGtSLYLImQgDR<TKPIVxeJ@\\rVqq]ilGapdatMULSdKi]QVyjBaQPPxgmml`uOiuGuNV@nLeMWttOxWbXRJxQMPQmMUiUN=LLdttD<qoDn@Hm_@QRuoBeJBXmgYLNAmCDQV@lfDuiMR>qoAitaiWm<rD]OrAKSDlA\\sbQJwYpLtuMDWalPfAlsLmghLhPQc<j;drk]ndAYHPuwAJKlklDXdutHXL]Pu@HKyhnyLJvELFTT_<O`XnHlV]itkU^rQpSilF`k_Gimfxrnp^XntFryPZ;y^EpodhePA^av^dadOAf:nsXidgOZ?n^=HeB>_MYrThtbY_uAf]Pn;HsZ>]MfiXQsk^ey_nUagIaxD>vA?w^ijbxq\\IakWeL^^[ou;Vf<agAV`XFiu>]sXcTxasXfuNowqcjY]DaaNhw[gahg^UGgU`[x^cjX^]fecoZZvoaprWv_lG^cwqKfrP?uKFwshf\\Qbgyw[GexaZ<@\\Dakgv^NIaSOt>_s[VeyXy?xZJ>]bH_Ywk\\ps@p_mwprN^Z`t]Xe_wrqinZwaNVkvwyQv]N@okA`YXjdX\\vq`DwZvgixgSkUxgRi]SUQSmcU;mr^wRvYx^_YaMEYGYwEc\\cE?UNQ`KiypbhPeyVPmnTETvuNTapadWYLUcu`wamFXxtNdl_ptiaSe_giiKUwwbAYtqIgjaeFMC:CVTWeY]u`OFimRYIvIcYT?TwodkSbOkge]UfmRVWdY=o^pPFiYZ=RJdxcEtbuUZ=Q@qRAEWBitN=^YIib?lNnunVryixrgv<QZ_gucxt_ouJ@owytVohl`kTN`pNyb_gYvrnag]_ewqfyVrLGnVOvxqqLoakwadyZrAj]fygx[y@urVenfoUOZNPnKnjLxfVqcSgpDpcwfhOfesguUGwXyevakxOhAy[wXvhyijIbCql>geIvwxFkRHfaYw?`ybFZZhtX?xDiwVIp]NxTvjiyaNAqLiZd^]IW[:@kmG^>xwS@xkHhZwdROrBVgc^poxlBpnyA_XP\\nQwC@tPNZg?m`Fc[AgMa\\KViRAdn^_eh``@`gqp`WpInj;Xeng]P_`=W\\aYyK^ZYnyfN`LXwk?qV?_kQ`<Ple`y=ar@Ns_GspYuWf[?Xm\\?v[vfuiulihUXrLQowi^cWrQwnlhl]PpPSiueKcxh=rWyugghp;bJCWLeb]ATHUB=kV[[F]GTQmIUSROMC:gCCqDPeDGITByv_;w;qxhai_IhJcR]MEVkiR;VD]dmAiDatWWv]MCxSu;sEL_U;uVmsH@?bwqIFmv=;B:;R=SutUcsscgGVjIt=syKcIwiCpGFaWDBkbwyVfUFnqgcGiDQxpOVu]eJSucAweaG][UKgvkkTF[Rj?r[UEuAf^YSMCSEuFD[Hk]c_EseyeQIUKItIsrwwXfSu^uG>=bO=GQiyBoc?CefAHruyCUh_ceJAHfmR_OFkEwbdvw@M@tKKqQ\\lpOplAdKyTPkuusdMwuO[Dh:WiKF^sgoB>tKvZv^_eni\\@jLNwGa^M`cXgmLxkLoZ?O[?oagomJ@_AIrnYpEIgmNpDHhYVem`gcojnhifNmc?jc`t]XqUvx;y[=Nkt_ukgfQGoBXoQnsNAdhYvHhlY>q<G^kxeF^\\\\px=hlSVb^YmRXv[GtDhyCgyaGkfxqVWlH?wh^[qqaLIvyhrpp`tPvTx`JGibA\\wwxpyyOgwHvkBop^xnaxjpvgWq^qhouOwCFehNsFQ^vgeYoikiZcawHQhVI_aXimxu`qxKQh_FxxYbRnehvklpdViaNFhf@kHFuO>eqa\\YVbQQgBimKF`_ygC@jY`g=?y\\AsvN^\\>wEG\\Hhxio]]G]?Nm_@skpreH^RGt]Wf_^aQPrVV_Mhlk`bfV^=IfMg]WvkqP^W@seQ_Vao]WcjFv;XZUyeQ?>?Fj?tyGDcKCoeSiKU@yWLWHxAGMEtMOBLavDiBS;yGOd`WboEhR=FEiB]sBVYVamh_afymBmODOCElAScUf`WXrqIgMvUegOaVnYI>?u@;vJ?FugGiGeBKxvaFZMT?OYu_ccgXbCsjsuTgtXWx:YSuoVd;s:kEB_H?GyC;eYEbOABZEb]II:ccFog_GeD;eJEuT[YZAdSog@ksCUxdoCcuUHSc<IwE]wJiDhWWJMFk;eKWs=YVG[XyQCpgDjYr[aej;w][s;ADo]uPag?euBiD][HRKrsgxNcXNEI[YHQkv>Qe>kSOevZqUNqi[[yxOgtKWk_xGQWsESTcDrCCUMgP_FmaVAMbkQeMauj=u>cGH]CB=SuAcoOdoeICGRkGGRcwDaYy[F?=sDOwU?s:wR`Ce^hT:LPO`NHyr^doY@ST`ViEY[ASm\\nwXrKIqm<vALpq=yOpjgAP=Mj<tMo]MvuOZDXoqpcmqwloG=mPeLB]rXtktIQIASNqyQyOYhOUAkulyZEquDpITY;AyrPsOAt[HjBiyAySiqnvEoGYmW]WRhMqlJuetSxvs=J>xQpyow@wLLuvixiHO:Lp[IUTqq]uNgLURaus=x[XyiixPyTiPQ?pVGimQ<JxTL?<WUeOUawrTO?iYRDj]MVqyngtLq]K?hWohslMNsmjm\\oV@Y:TsDExJtrFHWvIn;ULp@xf@PFmWZAJgfdcvf`gZd^]C>]j@Z>_kR>^<Vykho]vwQif<f[xiemwwyai[v_qHZJ_wUf\\T^ZR_tQwpWiyOGwaGrZOn^H]CNtIifqpZC^sJ_wUVd:Xfjp^^>tZol;a`gIZbAw<?eTgqGXwaG`Sqkcq_Z>`WxmOihj_eZ?lM@Z=V`xAe`xl:QfRqguihc@y=h^;>iR^oDFsB`sjWw;nk[yujFs<>tk_xmg^=?x`AaEOiJPmmXbCQxDOaEHqDaah?m`FqQIoZqqiOchWb=h\\a>[T?n^Ycj>fCWhdHpT@gR`u<V[>vvhGiGfuM@ZB@oUvx[ocmx_AVsDfinw\\mOmKFdQYqVW\\G^_v`snpeKwf<ImOYqDFruwgrpn:vkWFrn>_`QoKa^RQ^_Yx;VhxFt^^]UhbdpiA?yPfZpW\\^ygo@Zv>qFv^[_cmqw<Y`^gb>VnB`wEh\\fylQ@kNQcqiaY?p^Gknf[[arcgs>nsUAhdoklOvHa^M`cl>Zl_BKtdaSDMEZKDa[wqADPgTmKcnayrSX?AFVsWcWguChFeH[aC[Yu;;b:;fJSY[USkyGomP?@OTETlHpIEmreqvxOtLr<\\YR=rJAv]Yy=yWXQN;mrlhleTNilKRlJpmKytxwxq_txW]XCinnyQh<J[iwByvk@wqlWB]MIxVq\\WZxrXTYVYidxawY[ig]D^r;`j^>d[Wo`>a;Yhsi]Uvm]XlQgoD`ZmP^?iyPf\\RG^vwq_FZ`IkBNpj?qLPuCfDYw[iWPaBHUX<Gw:OR^cSC_U_MXiAWOevKADpGBt[bnCeDWBO;uasDwwcqGRdMeOABRAHqGvqufOuXUQsswiw=xKyU;QYGOIEodamG?AR;GB<;BCqiK=yw=iDAYgOEBIDLmgs[teQGwaCv;Br[vkoEbAh]CBAEt:KGVwD]?gwuRdOEB=VHEViAWWMBL;BZ[y@SYKyvd;xriglEWb_CbAV<MYn]ddsRYiBGCv@WwHwrn=eLMvbAU\\;eF_hhWXw=VqksSyHgKhvsFkqw\\OB[kflgcoIBSCUEqd]EwXObumUouwSqV:ATqucEYup_HGSvjgrroVRyVUssMsUAUSpid=aBecVVstf]PbMn_Pp<YKcMO_MRXQlpyXCTj\\IPSDtE`Q`aPZmlCMkCEoEtN[qmpiYJMXpPxmEX>UVBtu^@KSEvCxlr<P\\PxF@KIyo_DK^yrwTxphLwaSAluA\\LwDNK`rB`R?eTDML:hl]etqLNM`SlDQ@=JB]lS\\YV=UJUO[iJgLLNLSmltI]lY\\JEQnSdUKXuEdwWpMMIL?<L:AV>ituInieQTAvvpuJuY<IxB]LbmyWtoVpqvLmo=UuhYIdYlYyeeVRAvbDq`esltx]amMxMBYYhiqYMPVtPyYsyPtfIYmYR]yObYQYUyl`UAmXT=QcXvm`uPit?uMtiwqQtYaYlyM^qqIyY[yqbEyliLnMsstoG`qS<LG]w`ySxioqHKSDt[AqHYpTHVm<l=XqpHLWPqdHrvyNdqMsIsImYDuTVuxPqjIdYTuVbanwEWVTo?IPvQxBPVHMv:IK=TLM\\n>EPaDQgmy\\EWMhMbTlB=KBaOA`qXQl?AWF]woLV^mr^=L[MjDlX\\_o`aoBYZ^^haiiZNdkqg`vpGgyQfxJXdMAv=`qJqpf>ZU^weHZ?Y]ZVn^H]@Q`uNgeW`apwLGcxqwpnuvHcFwZvobJ>_]?eA`v_gfTFqx^fbYeqGvv@^=hf[iy`Wld>j[phgY`\\Vb>VgA`iRhekoZmGy[>j\\^cP?Zr?i[Hho?qZAruI[`gdjOxqOjN?eOojWnp_xqFGqhajNhfOVpH^oFAgGg^X^xha^rVkuXyk?[Rq[Rxo[w`DadoheOgeyXdbpvefurp]WFyVxnbW_yI]AYdZijpi][yk;^lw_kKhfbnw]f`[hmVio:Ya<gbFQ\\[>d`^aAfhyuJwc]Cg>obKEdWAywerH;xpMrN[RRGDSsGeSE?;UrauMcys_CmoS[KeqgECKTLmSbkVLGS`CE:CWCEsDMeCiSUkXqGUumdkSY\\eHK=v\\asK]iryw^KBCSg<IDIOguyCp[EymtDiFGSuKWr=gSROfHGRDsIrAYVmXDQDtMvxixGcVX?dAiWKGfwUfIwCl;F[QHrkwyowxMHpAyMqdVgGSKC:;eBQyaMGAKysgUgaXmihaUtY[Y_qg@OFyiXqIrBQyYyXSIEnMwvIw^uDEOHdctEwGx_FmSeyww@wuN?rZQuqoy`cGX]hJoHw_x\\culifIYtqkiqUIWsi^EDwivYaygwv^MKmXpxewoaxuUj=`xyuyiyqEiWieYQYY^MT=yPxXxWatWitcilu=xauXLyQxYryLsYAWADQ>mYaqnItJvelZ`TZuMTIrYioUmPMXVRHj>xw_XWi`YWxtixMwawhMYwyKxXN;=SexMranJ]p]IOQawRqVHDxP]k=tq_eSHyvX]pvmOx<xjQx?<wC@JrdxPajL=Q[@q<ET`=tkLnOhT@dLF<OvxlRXqgHL:=VwPwelkJ]kgtMn=md=LYTr_=mg=V:QjtXWtyxZeSkPMjitbXUpxJj<QFmWAEpZiqNUX<EpWLs;`U><UFlJW\\K^=uYXjmMYj<t:xUE\\WZ@YPymuiryXYElp@LMdMt\\XT=TKC\\jnMR>=yJ=sb<V@AunhjbqKmDxZlkGyvvyVEDWu<uVYOaXPUxvBhyH]jA<T:aNNeV^LOUEJNtXv=XWApW\\SCPo=iuiEOppJHewOurIQNIXVepuOHp_mQVpP:xNwulN]XL@SmxO^dMJily<LXxX`]O:amk=yVUtKqmWLssTVr<JE]mCtnF`XOLJ>dTAysjquJlPT]RU`V?hNaqMS]sUMuy`rgxtCxYkaPEMWbeR:XKMIsvtnWxy]PP[xPEdvUAxVqk=<R>Ep[Dm^MlCmNgDJJTo?iwcUrhqp\\`vFxphTujQtoXVlxm?EOdYPtMq^yRwEvkUkbureTuwhwBTuU`V\\an`MX?dqwQrMEwhxrYxWBqnHpphhUmPjpeMV\\kGapX=tw]kdytOXk`XtxuL>]QlQrPpjw=oqQoOUkwXv]tQfPQuLYx`T\\xurtU_EpwHyXxV=tvRdtp<rAyRipQMpnGAmcQOblPGDMxINJ]yyTxiymQXkcttvpwlLyJyJyulPPr>Us^]NVixQIqDuyCyVWxSyQyCyqKxryiuGymPXssuVe`KWxkvlvIpK:QrayQqIUt`vDXoNaSbHPMpyDqxWpUY\\ySAqB`Q]QY`QxFYsXuOmIk:\\j:mWtAsYPtkqOJLJEUjptUrEx?uoGDV>mjMdS:MRT@lJIvlHT_Mt:@mr<TLdtpMuplk>@KguwHqS^APaER^LqtXTqARAInDXN;uRYAWGYVE<JlF`qH`j?]fhtLGo@of>G_Pn[aWePFbMv^@V^BFiu>epIjFqq:x`lx[P>pbnl=>f<y[QiuM_x;qcc^nnYZn?r^FOurnUsO=u[yb:wisSu>sBxMF;=ePGBnaseAsu]GAASGEyv_xNcDd=d[ybooRD;b<IFoEBl;dJ=TxiCc[fFqXBmx=qFI;h^Yxp_VEmbdMI=WihwhD?wI=xEAs[SfuOHkOXBQt`aSH_BFcfVOIpOGNSWOUVY_CQ[T[SCu;eS[eesc]Kgh?WPYBEgWkGGSgfYYupWUXyepKrsKFRArbGBhKumaWXgVSCdVcyJMhrsgdeTr=RRkShAssID?;GTcewgTYWvxwWGCrfKn_DVatx:HSNhW?qusHWlmY>iYmAunMoOAnMpnyhTN=QWanaUq[ilU@l@yN=\\NS`VlQwPTSRtWFYR_uvBpPXuMAYkohTcMmjHoTEnumti]ngyJAPMpiq[asO`tWqU\\XyYXuL<uITpfxtf`UFuOgyM\\xnqlWe=QhasshMlTV_dvl]Pn<P:uUvxVWdoUaq=MJH\\VxtqjAys`xHXPIXnQmjdElgqUj`VT`KMYYWynhekFarHARZYctGsex\\Z@w^hjm@w@Y[HGnsV`a?qDIbHp]WAqMp`gagvn]H^xBVnEIk<Pg_Q`G^xYNnuv`fWl[Xjq^wfYx:O[QYyTwpvQ]^v^fECqXO;IMqiuUttyFbew=uCEasaaeaWB[oWYuytWscEwdWHLeYrmBq]W`wbYsYVotgwYPMI`WRJ_UjmwvGinevowW\\gVAygFgyBkdAwbbUtmUwbms\\iVnwXUqVdIey]Eg[W\\atHcF?CYC=DT;y_wDYMdKEhXUXhIunOgqgvZeD:;BB;RLCTJPoMEw<xtWelLEmHxKUYQcuKfAQUAkEDOV`rd`SHYPiyRtLrfax;QXWPydpq]yp<\\LN<JSdvR`V[@X`qMkXjCelt\\MODJGxpUitlDQ?PLoQuHxvviuWMOrurm<McPMZlR@MtdHUnLTcPWZQNV=VZyx;EpVdXIhuZ=N]MQIXPmHL@dMfaQHqKdqmCetReU<LLvqr[hY]MOntwLtLK@JJ\\kcAkO=TRyVqHo^YYRqYb]KseRviWL<WRaLRuKFAQSErvtMX<Td<OPQnYUPsLl?DpOMRx<jBPqPmteqrNUQR<kciNHMTbAYZ\\riUSk`MbxV^pNv@pAqmyXJSmMjMVYpKrqYNiRjYM;yr:yU@tt;hmWxJnxOC=Q\\LJXISRtUZmPniQChRBPXvqKUPVsuv]UojuqrdKaLPYaT><LBPp=dPX]j`TmllmC<rryvWyXjukX@lEPW=QkgTwB@yjTqcMylDLaalCmNS`V:\\N?aKDMkjXmN`ScqPT@V?TxmTmSxk?=OwYUNyUhTM?<TdmkuIOneLOPq[@w:HrjPkgMx]aruitADtlqxCqYNmrvhwXYSUiTxYx?PjqIjm]U_qnPEOuEqwLQTQub@OGQNfDmi\\n[inYXTmDmQaYvYsk@J^YviUqRPx?QTZpeWIjg?gUgjp_hQPc_NbsqhAarOOsZAtCYfgN^tIs<ix<>dkI`Gqfn@i`qoOIuiFnOvljPZL`hif]pYbZ_XwSJkYR_WZKHS=r_]IfaSTGx_aSMAHcKuOmb<iwJAsR=t>MGHMyWSI:kF<ssDWiG;V[WHiWRfSwomVA[vwYemYxU=VW;f;GBAuYsowSwSk;ujcBDswfqcvwvvkC[Udd;hU;C[WCZ_te=I_Wb?CB=Ehu]f`sY]CRZKr]QriUBxCEjyW:WtrktuaupIB>=hY;v:SHyAwI[SfOiG?HuwBoMHCGE[_bNkFuGRGKCmcH:ODrCi=;GgYXuQD@sFgQHL[THoxcAtUaYfKy<kr<KCr;uc?HBCrmQCZeb[qroirr;exSFJMrS[IZ_s;sXJMrH[wVwF>MHCEI_afGAf_sV?ShQWXXKDRWe_aw@uV\\CeY[rKmSoquxURMkHIUEfcSOAs:ouFabDSrY=xRCePme;Sc\\ee<mFJEHqoFnie;mURUvr;F[EE_Udvuil;BLGS`Cen[Y]OdNoynSwKGiC;go?T[Gc`iGXEEK;GamRZuc<kF[yikEEpGxl]GrOco?hUIGQCfFGS?WRiydY[uJyRD]dviwKMFGiSV=R:ktZ?ETGbMWbiGr<=yR[bsaSL;yR_v=exTgXeSHQsDZadDeCCUF]_wBggBoY@isTkHuwV<Ar;OeXUuZQYG]RYYEgOyMcfpcEbtmUETrynL<QKdO`iwCXsAQtF\\kjHYO\\meEJr<n^UmftJF=oZ@pell=Qk>LM[EM\\YM<QOLmWnPRouxxdMOqSbiw?QNoaveLLZ\\tnYTb`yl\\yVqLFAW^IsKHTgfaR^[gf[My_bFumOakwvQg^ZA`;D;WxrwWpivmgEEOIN]Vf;GWABW;T`uXFXSjIPehqZQjBdvjlqs=ndDjAQr\\mUHQs]]SJutFtT[qOb]NJULdxobXM`pQVXl=ln@MPdiThdqDqrHuvoV\\:V\\=Qifofu@ja^[<_lIaj=WktFZXPwnn^VvsKgibpnFGrRIav?pLWlF@[fxnjg^H>qZhnJXd`ffMipINs[f[T@xiP`ePdZNZZgja>_:>`^ixOIcGGZx@a\\I]@a\\Z_jYXcM^j^YrC_gF>\\\\AgaVipIujAjAvtMNdFh\\uhtfqqHpipXePOngptEhcnVaLQgqWZ[qh]acd`r[yqAX`Ca^Mxdk>Z;fmXghN?a<G]pF`<Gdmfm<IkLyv`>c]@ZpPdhNucnenFiSPk:>_CWojn^gycuVaVXkM?v]QfyXqZxvUwivqp@`wYQdSNwhqxRO\\ufj<?m``em>nKpv]ytDVaKp`J@rK@qipkn`nkyxRPoLnZ]N`IVZcVxN>mv?^tf\\NXw;PqKnyp_oDWieIaiOwZxQABFSvDgc@]RsOv]ICx[BPOtbwbdKwSQsuuGnOIWKDh;dXCGq;hSkftIC_WdqygVofRQSZMf_YtUih<sUmUs^iIYkc;OctUyGqWqgF]EBZeBpUBCSyPoXaaFMGBJIBPQV[uftsTQscB=x;;F@crwgSUWHk;y:]beoH]sx>[diQbHIc;qYT[sj=Bv=xpSxiud@=D=eHaGb?CbsUTx?WumVO]C>=B<MchYqvuLb]wmEJ[TmmetnMrw\\jJhR<\\rH\\jeiodtriaQFuvVQy;AM[xOWqOJPw`dVldNMhLDyW@<uKdJN@telVo=L\\uX>UQQYsB]UtxojIs;qV:`KZaJH=sQmNeLPlqTHQTqyMhxPR`mdXN<Tl@DQl<r@hnRikHqNiXPVXQ\\LXS`r>hV^isBtVgtx;qSeusG]UXxk^lvYhVv\\kEIvyXnLHJA]UsYVciQVHsKhlWXQqmV=@lCdOR=pZLM:`upHYBiyrmvceViET<HLHtLB<R<ITnLpQHsKLR@ppGeUwdQLyv\\LKV@uPmRZuVl]v?hS_]ndtONaOo\\sh=lUXj;urxuLO<y:XRcpjG@V]LMb]xQQnYAPMiR?MmYEJr]KCTUh<PyPj\\XqQYJTdXiywjpTrUQomoFDW@]nwAQZYrkTp>mmCpt<ps<`J><TBHQvlWiuR;MPU\\maYV[ungij;lrYqWcMN_ytimjHijS`LRUKpYv:PpH`wdQS;yXv@wTeu?@vsLRKaO`QMw]PDENgYt>DNs\\jvhlZIRkpKFLR@apS\\L\\PRGAO;\\x>dseElEXJD]QUpSk<t:XlttMEpo:yO?iMDdmaTrgTTK]WFuXKEjHqXWlURLn\\<mclPBlt]eUpmS?mpluLM\\SF@SApXAYxmDOSHurhO?leLYl]fdkYqhpoMH^`Ac?Pwg^vvAxtPbyWorNbPgcI?n_iw`vxmnqcOqGw[\\P[[hyaNlMVZ@IyD@`:N[<`kJ>spN`KXe;xxxf`^Yf[wqc``Z^rDfmEI\\=^_cv^<Ppipd@nalFs^N\\:`irqqW_hkQnhOauogUfmrfobfwxwnohvboguPsB^kqWq^gu?Wfr?bmif]gckImI`^``bVFvQ_fLagr^cy@_Q^`hQmDYp]iov_lbOkYY^AghVQd<Xs]Fhi>p<nZ_@odXlxIplN[JIr`hdUojWBQcUsaU=;tjCBA;R@txwMVxiKVyxttqHTpNluYMOu=V]\\Kj\\S[ayR<QH<V=mWm\\sc@v=IV`IvZ=Rj`ow@vsIXB=L\\=QMXvW=Ukelv=yi<sfHuBtKeqp;lt<\\WB<JCauH`qVtNbLvJmo;lQZ@vuxoIuOddLdXRYQnFIojDwmlL]uJBXVNHON@K:\\LOXp=qt[yX?=vrEmk\\uk`NuQte\\XNLO>eM=]RdDma=ohds@alYDQV@tOAQ<apDDM`YxTIRvXRatLFYUVDOE=S@yJZun=MyA@uXPvitwOdMOTK:\\KFaK@iqwtRX=QXmjD@QaTPCtM>TwD<kSQUKppn]Lg@vr`TWdlMhrpXj`ATDaJJev<DrsyRwTSphvUhv\\hMriX^aKaUW^YRkXR;EMf@U:TNTmtfXv:ek?]LS@PjPw>yYiEQEIQYTNmXtMhLWym><LmlmbEUkuuwIxvuJlDs:yR`tol=J<DqiUyZ`UZtnGIw^XX`albaushwn`pu@NyLNRHX]AsW\\y;AkuEuVTkD<oOPpAMvbdqPUUk=KPpj?TTVUrqpk[XY]itB\\TZ@Q]mXWQLH`P_IuQeTH\\v:\\MJ@O@UVNAPkPk]]PjhQVmteXrweOoAqdLPU@SkyuwTNoEw>dsldobYpU\\KR]SyikSeWBTuUEnciwxxTM\\Ly=JH<Li<POPJr=oburk]spySiDUnhVJeNW\\rxiJWPK^]wTdTb`JDaQAMo<qXrYYfTwDISjLTklncHpxTsgTUn\\YR<NjtoldYT<MVIVWej<iXT<RBlo;<YJQlnIWCljJilfhj=TlctL^=NaEkE\\KFaqQ<uyXVrpREPqN]vtpqktXVIkSMJLpV]=JT<JDUtW]n>HvgpkPaqv<NuEphEULyV>dVNTPJuNWDQRMPa<UtYoH`Vd=MbDP]It`hSAAQtlLyiwBYy]=LpIT]uJlqmLPSj<O;tOclL:xLrqkNhkuUslhWC\\ljuKZHw[dw_<M_qP]mp?<n\\Mlj=wEmUmtRcAU`qTGmTg`rdPo@mmMTpImXMlp_tnGINwmv`lx_HLCAlB`w_UmCmJxlNFMOBIrPmOMuvnHWMlUqAx[XRn<vPykBEoAQq^qyTiLxIxSynOmuAhjWiNTmPghkH<qYtMFqWXIyDALWqqs=kXMwAVbLHcNpf\\^Z_hoOFx=A`ANpLo_Mh_I^aqQ[WYxFYcnPisQbtofEqgtXwkyvbax_YkTNswPpixcdVfggr<fulYxYOtTvpvVaBYe]amiIutxwZXeagmDgr\\XeaYnhWqEv^^amxIwpXycGxfp]TptSIbyaxwwiWGuhYeGVjvipY_yLpc=Wu[hwewmygb<Ij;HlkNujhhif_XhagObh^ttxdpWtgvxvF_=gZYPqnGjfYlfYrlhjcxwGhwuYyNwm`g`x>weiutyvFWwD__mQg;N_[i^c`kNohZWniQ_rWu@gZwvwxvxeq[P?gwAnZhMWRUiu?KcduI\\GEOiRZEBj?dsoEnQV<SdjEuVeh<mhMufhaeDCrEgXX=f>gwUSTKUn<dVP<JZERa\\yc\\WTMuMxn?dU?DoflOdqOJaoHQlNUQ[`upXNNmouMMmUQmQt>`LKmpJmKZPJFUrXHP[tugUxTiWtloa@NOduWqwsewouUjUStXxntrO=qKxt=\\S:qt[PqUqVXmjNhOdavD<Jx<V=mkmUs\\]sRTPbHmmeMGish]YqLpcpTNxWMLy:Tl`TkNAusUpTQQUuP\\`TGiwb<wVIO;eJOlYF<w=aqHQjVtN:plDHlFXLZEKD`QRPmSiwsEoBTXP@YNyKZPJ:HQPUTHaxRTnleU_Tx]qq[\\pgqukdJjMkp]XNiOVXPaQY[=J\\PPhuJ]PV[Qm:hU;XtteU<`uZIyb@SQMrgyk=mpgUwv=Np`PaQL@YmPaqYXoltOBPxuLwJpV\\MkcMOciJZyS`\\SNLoxUO^`vUmmMTQcmNFeuEAJbdv>hJ]]TKYSoLV;<jqqt=Uy^IquLsQyJyEPpeJ>\\M:aRYpsIMlqllV=W;qPvynFqrFtMLTOveWfDKL]Mgms_AmSmsCyxuEpHTvmmmkdMS`VZYRCqlgUucijGXMcAq_TS`\\qhyOvEye`tWYQGpLHymatYyaxauQ]hLEylYTP]UJYlViiq^mw:<xZEJrAmcqYb@xqapSMO^aO`MtXHuJyNqXRH]mP=nmqvoXtdIM_LUhqY>iWgmn;yOT]qNtNdinnDufMsTyvqPtapWuxkXaXXIOnUsWySBaURtwx`yVLwYLM`hXUqxEevwEwfIwnIxieuIulV`PYmwuhx[yLcEy<HQltTBIwEuv?LsXtvPhJREup>jVyarNepqpAitsWv_yv@NynAvmWe^Ipah_Wxc=Vb=oukVc`wsBghH?aYHiwfgnOyDhrlgyvYlP@s]wmSQpEoxagx\\IeNYtOi^;>\\tIkmIbYNrgGff?hfnima_Xvt;pygphIiiJwmM^vvYlIXcOyqIhiwyvnIjQio[xyiyfIGsxNvvFephwQWfAp`syw\\IeMivpIggibTQpy?lPw]qvchYdwYaHOZT^xCVw=Xr=axAyevI^wGw`xp@NuVN]pyrxGlUwupguH^vox^WvxdHi;OiH^vPx]K?[HQrRHxXI``qoIpdcWi?ymef]dHqDog_pvkx\\wPaPOhNVrKvw:ooagaV?v[O`SnvtV`U^yqogAosmVr<Vx:@dr@h>phYWaN?saafrwd?QlbA`ohgsG]pq\\:hfaA`phv^>w:asv^s@p`I^t^PdtOdiocl`\\Mie:Wpa_bkn]rn[L?tDieYpZ:WS;wN[W=yx?ky?kDNOv@YXaIuyqEGaY>gecGBFkvrgWpyTNMhwkVB=Tq_cpefGqhDmGbSb=?IuQVZEwe?FQqRGMHu;B:SIAMgLESaceV=DDSxHIvd_BdSXTYCLGBZUHbcr@?dNQd;[G[mX?II@=tHAVO=YH?w:kY:;U`wy>Gst_RsiTjSC_MeDEVwgU`]WQIeSicjairYI^Gua;Bwow\\gv?wv_IwrUUmsFB]tREge_r@WtUQxXyhZog;EdlSRmIuO;BV;ItwcPYEmYYZ]E;[RtoF;ybh]YHOvGgYfWWYmDKOvu;cpcVxMDEQSF_FCqCxIR`;sauS>oyGEfvKcPcEPay\\mFS;yrkF>[g<_YIgSUoDEAHf]unGe`isRoECQWZuuDgvEQDUAuoWWQcxnwhq[EIWVuKuUQETYBEOX:iwE=YuuVauBWWX`QEiyxHgUuWeXwUVUu`IYIwVFmFNGBs]YYEUTIH]YF:SuXmB[[I=CcYYI@SsnwrwAs[ErAUy[iu]_x:qwkKYjutbcIowYFmY^Cx[ArFKVQohomhoMyQuVLGWXYr[UTX[XO?ud?hbmXqUEwAwciGlUuumGscexixHwbWeBowexiwHyrbiUQse@uykYtAASrkCWmi`eFwyswYwbAVyAFWQipIUtGtWyxGYyYofuuHfEfyqiaeEWAvxqyviUIGt]yGiufUwYkaCoUcdcYeIbo]xPwtXOSYgi]IDdoTDax?YixESQYiyGTaawXoSt?x^iFnIhUuoXTqTMpetut=vSLyqipi<tAtOSeRYhiYOst@dqNy[OpaVsy>xIaxmxrYxnqwyTIe;XhtQyMVmb_ny?jtVksNuUy`BwlXpp<iZNVtbqjyOqOPk?QZwnqcw\\W?v<hjqpywi_lyxPhiwQphyayQyIGwsiwuAwAxkvVwpygo`f:o\\IQw_HjKPpNoxk_suwaqWqqowq^evOawWwxynbIqWvZbYlqgaCwyaQlMG\\a>ueyroxmrQaWav<HjexsrFj`qceQxpxuoAum`xfqpw`xAxtW?bawoN_gMymrxvIpavGbIhuiqyay[caqOVxbYoqqgZXwHIaKogiFqwgyexgWYciQqba`sggj@Zn_esy_YinWVuqGtVIwWqgS`awixqxw[XgIQaKywqXe`yhxvxwForoiTiZ^w`tXv?Pyx_xEyfcYcy`uBw]r@wN@byxiOa^ahlOPnH`p>Hm\\_jUgic?u[xftQgnQr;Q`gX]^NufqyXyeo`^=IZMY^r>`aajIqgJFyFvbNVp;A^=^c@ArRgldftT?fCVmRFZb?f``]E>]?p_c`sT_h\\ak\\`fv>fxYZZItPxp_>vRhvxXlt`ueYemgdGI`QGagQhiyw_fesGw=F`\\XyBf^SFdRPa[yZL?sE?f?pfu_hU?yExhV>rA^\\]_srYbCprr@hiAaF^gIpswHdQas@`dtao@a^=`_:V_:F]J_x[XyU@Z>Ns_nrYvv?xx^x\\[PsF?\\b>seVfKPhtwvpXgTGlVVtH@xbVZ_Y\\wgdS>toxmXpgEvvrf[FWb;GmGhkcW\\YPohxZsxmNVd\\yxy`omXoEAw\\ohjFme>ma@_Ma^jXbHps:qs`VbfOeOXtHQwsgsn@cyV[RhmcImuoxg^wJIq<OcLywGxwoF^IijMx[<^fjVk:xulNtOXihggtVptn\\NYjlNogFnTA^OxwCItYI^vWvFob<g^Q^p<nfXObqikUygp`ZHhvp_mZHwR?iyv_<AeAihNN]:h\\nXdtv_p?gk`_My_m>qR@nEhuWYhph\\rpaPxrRijGGowAsUG^VOb`FiXH`ZFmF_\\rArFoahQnSVtaXtQxgsQmVH_aixMocRGcoQeGpgsqrqFgGIwaHc_hyAvyuwjqpyrYvIXcP>vmwykIitvxfgnAfySyevi\\WoyewlCihmWiRGyAgawYj=^xmYyX>nkHpKOulhhefajAt]^`morFFux^vuxuuhswwmPIwShxU>oNOgmqp]xgUv`h_nKHl[OidIoaHwNXlIolUYytq[KAvZAnAAjvQxCxnbgytixnQx`i_lv`UamsWxvXveipd`c\\aqyAr;vov>Z=yxWqiGHqDwqSw_DywSiqApbAwb^IyDQiQio]xlqfgLXfKf^bYiyAbyfgroy?@bUAapIxavmNhiTn]gViFPcTI`S@[@^^jvlo_iIoch>fp>\\GV[ZYZyGmKF[m`^:V^RomSYaFwaXauIwhxP`FwaRa`>waRaaBwevooYpgwGiBpikXf>pedyoDykX>_k_irYuoOdeVgDhcg`epOsLNypYjean\\QnNn[;woyVf_fuwawPAbSx`ypfOxlfvwYxuugkdVwhVqA^dLOrOW[vY[>PpEPulaxawgygmFFsCFacGrFFsp>xi_tCnj;a]G^toqyexeEwcy_yw^^lgZs_sMW]q?tuvemObdXh;yrMfw\\VctycYpuBWgP__nAeO^f]wiuijaPsmQvIvsAooy@ey_b>`fyovFWwpg\\sqm>q`rauKwZtYkm?bU@wiO]sAxUo__xpW?pTpytYwqGtth_G@_XVfqouCXccqjYWaAphXN]fOeYYaHgeBwcoI_Anfjh^LhkCFpT>]my[yHy\\Fa@^aXA]aGuiaikydH>h:G]PofjnlFiqkXg^Pci^xQ?waWqe^hYqudfoWYe[XipadcyluQ_nppIInQxZdPti>ZEHsh?xtPxUAxQ>sZAxRWr<nd]WfyWn=xZ:qZi>iq`mkvn=pcWhnFoaKn[qGhqGb@PrwFu?v]fa`H>t;V\\b^_jfnd`tOXZlawLFgMA_EYkJgrHiuJ?q[Yj;@[NWyAWoloxY>j;^w<npe`oUqqSO\\R@\\@F]ffbWXi=fw?XpmWfu^cS`mJ?_RouI>^nVo^`cA@Z>>mS>j<>[yG[:X\\:XZRXako`nQqhX[uI`=toaRJ[sWETQufpyEcytsgTjSxIcvKcX\\KfOaEW?vJmUi;IuYSMOGAmiE[FRKHR]Cb[uRyim]fK;D`iX@CXmCd[SSAoH]MCaMTAwG?;R@uc;abNiHUkcx;RKsb=yHAmu\\QHHoH?SEdGh\\oglkH[_WI_sFseMmcjqWWAII[bwiElqDOgYWYhsUHlof=;eZ]w;[Tk_XP[tw?F;?dgEyMKTPOHGMTxeFoECv?xQSc\\ETNGUQ]ulkD]md?gY_QiiYbaMGwawrkEqCG@qIP_eecFFKG<aG@]DMSva=HqiSu?SMWS<=y_asJYr;=V<mEeKFFGF`QIF=vn]fFafmCyOqVxkvIqeGUIpmwJuwiqsHuWw=Yr]bDgwgQX;QiNiIWiYWQI<=GPIXf[v>WvQWS?KEEIea]gkqtkgIH=fruUkQiQItOuTXER_IhksWWWuA_GSMiFoGxhjnpVGQm:qXBiTh<s;IP`TWJllgXUpTtixq_QYtUvOyTKYKh<ujdJAQVYUYAxQsTqpInAHwoyou`q[peoWvG^`qouVwgu>mJ^y@qxbFZEPrg?ngieuaynp[IpatAofw\\EntUg]MHkJ@jCn\\f?n[W\\Gf^:nfH^]woZH@w=fl<fqj?c_vrUGte`\\onhPw`;G[Np[f>Z`>\\rNp=Gt:Pbk`oa@^SnlXG][pb_wtoXhxhugOdngoCpfDOn>N[n^cOpyoiaQOc:dVGW`[rAIraEFfmV>Yx`yDYOXV_GUst`ky\\uI:_BqGromUrMxLugF[Sa?hGXxupyhyy[XR=UNnytiQqLpouYyiHSmDOXxn?HSQIjipysUVuMMViMqtYh`TXyTiTTbXL`uTOuLwtQwHWa`JD=TQlxReRC\\SN<mj@W;XKxlsXMQEpWxItPaRa`YAYp?qTyuKH\\KCQqGIUn<sIpyfLy[ArRqyAywVURmyVnUSMIoRYw_iJ_xxAQwKxLp@SUDWMmwXupSpUyPNbyQ=Tlg@p:aTEdyNdOHAvGeVydSwDscisb<RqIJZAoZTqwXyFeMbPr^unhTL;lwb@UL<V>ISVHKO<j?MljTVDQrM<M`]PeDsv<aPPqH@oNieLGeCIZ^N_oamN__KhfvGluqoRy`dAi:?jSqjhaqjam@H`uyknf]AFvVvadT`gbWOGYqBIqx]CRXAep=IQmiKkYT]hDoBY[ClKrZKfMMeICG_MtvgtVsR?XjC=KjxO_UJZ=p\\eqIMyA`LbxtLlm\\tQ\\=WmAMy=ph<JZTNOexnDNDatJpJX<PgPMpur?twDIW_`mH`X^AwlMs^HKfUxXtLJUVFuVP`L]PTPIkADufpK`hTwelTxlWeMZljmqYBMYWmR\\PWvXxS\\yOQNhQYoeOfegCy`YYmcfmJYhlOa@XbnVbdP]fAZv@ZF?_?Qe?osL`_ChoFwh;Nmjnh?f[:@xG@\\X>mPW\\PGiAI[j>`rqeF^dUFbZwp`WpdQ^hIyHnvPAd`@cp_hCq^CxZgOkg_rEntln]meSeDmOuj;vjIuJSGlKDOwWteDl]WqKWoWFLcCl;vj_g@YTemd>=I=SFS;yRscV?X<ICnyIYIyhcgVEh<oVIIeGUypqwM_S:GCX;EZ=VYKsZuIPyUmmtSeCZkBZGbQIEZ_RCEgggGleuN;GtAVFkHf=UIUsQgGG[w]Ux_[xaux;qITED[ms>kb=[w?UBU;v<?Gj[D:kH`GUO[SBIuVIGcou`MhguthEYv_yHOi:kc;WcfyXauR^QYTIHS?X:KbbSHrAeW_ueoHeSEdMd`yCjWt?qYBKrnqxEaGqgu;SygmHKQH;CCRIda]uywIXaSX;UssYxkVrSubaxSeRToUngIUWWcAWawVY]yQ?vKGTuAuAIBZYvLWtHwxpwySYUh[fyqy?YtDGYjUy?kR^yFImi^cDLkV];xQci>Sgjyvq_y>MBPShHUhV[BuywumxOCsv=CWmCDeHxCFbSB?qEx?Gy]xOweMidaee^sIP;xK?yawwWYRYmyysWh=B?kTFghjKw<wcD;b;acXoGSyD^iDsux_UWbqxAqHLywYUYh_yrcY`iGaQyahLfuRU=wa<ZMyy=Vw`Iqjyefwy>yxX>lZo^g@ffG`XWoQh_^X[n>y<giPHt`P]UGvoXjkuqwcWuYk_TT=T@cVkKBe]SjIvXuEVUSpyE[qYyMwWudEYvyuyGwvEyC_=yTcrxEWMkIfwRE;eREDDobFiu][Gt;IPedx_EukBeODj=XrYun?V]kCj=HMKs:SbSeCoyhbcYp;DCOWmuYOodoqDV=bK=f;QXOOYVegqwTIaY=yS=Wxh=Bv=sQ_WUweaUBUIBDkdqqDWyX:WFaMiqwcBCCF=B^KSsuuFmWmATOMBggvWmypEW<gVCCu@;rAQFrQIRMR=wC]YrK=CtSHRmV^kF^UCi;uLEEXSgPafs?dqCuZUGawwwOfHUGV=f>kTgwU@_iOCBpIwOsXfyVu?FC;F=CuSIXH[EkQCwcBb;EhgT_;GRwvHgFHIE:OBD?IaIy:;F;eurkCZSBxUErsFrQYj;IMGdh_U:UbxCvS?ru[u>cDFkfDmhOArb=bkCguKf;Gt:;UbobVWrKunO<PCXWIIJVIk:qq=lwqDJKyrrTtsqqKANBiTCHOOqPj`sFayBAlwpw?Uri`YHys]Mr_e\\]Prdv\\DFq@fZV>eT^sBH]XwhFWaKxnCPgBPdgOuCgi\\^yr>ilibJPf;?fTi\\ENef`^@VtDh`mY`_pnWFuGI`kVwb>uKywfPeBaxHOmWgj@q`BQoqNjI@sjiqPoZ<O`jItt@b;ojfwuoxjPn_R?_;hZPicjAf<^[NHrxWxR?jRx]xAyHGqxYwhpi;fvXNr:ffvPjt?Zbo_t@v<Hhk@Zk__?>uA>ZdxnXPiDotEnl_it^FZ:NxhX\\u_pmqfGOZF^bUHePYelglSPmN?_jI\\U?nm`y<^mno\\NXlbxZZ?`Mvvx?caHwy`[B_c;ywiWwg?Z]^aEO[@`vVHag_hLapL`hJ`lnqoAGb=I]kOhOaqEpcK_k@QtQimM>yEhwvx[lpfSaas@bXYnEAxY?aNxigykXIvw@vi^tfF[Vnt?HxqQqmqdCij?fvj@hS^]WYuOIcYOyyvtsgfZavxWkhXaW@[Wwd]@j;GiqiVkeyoX@IslEvJGBjmByQwYciMYuIAv:msd;WA;Yp=eayijmRQ?B[EyfeyciWxIC<ei`eu`eYvgIVqSrwWEguksr<CyAeWLkrlUbkmyVmBHSxYEH@IdS_gUKf@QG_]cZYFGaerEty=SGqD]mG:KceKR^qWw[T`gS_UIP;X>EbHSDb]ERcW^mRrIU@yU`uI_YSOlPZ`M<HQOHSfaUJAJjINeqX;yJLdy;<VfMMl=W^]ofqqu\\jV]QZYUY<J:xjm`N\\@NdpXTuWu`XjluqlvJYKAPOLatDDm@IvnioNlMApmiytF@SAhws\\m]UQ`dOJlOQllM=JR<u@hrLYpRAJ[=J^TKudOiyXR\\WnHWGaoLuTZajGQOgDmbySBerY\\K>LP@xwVDoA\\LtmQhiRqxumiuk<QHiJTUyWyx^\\LcmtSDxQhs_@nfumbqkW\\xyiqjtWmLXQ@jgAu\\QJc\\tutuO]sKmofHMH<jKloI\\O<LnJErk`M`TV_TQRHMWMQRuLUDMG\\m=]UxELolPGXy:LvtM[lv`B^i:@u;g]oWrFx[MvbZgoHfleqenfovpx?GZuXj[hmSqlQxikOo=idOFuFhy[SYMyGkdZmSumGZ?y\\[rhksWwW[EsJ?E[etRgd:GUPuR;EyCTv]=Oeqt`eTdLLPPJcLPddT?]RNxpTptQdyDAxMtx\\LOUtRATWZPMT`Sd\\kT<kkLoiLtq\\J`TUNtKlLwK`oCxMDumuXn`<P>xJ@=Qi=kShLWQK=LLKamwDs:AS@lQLQKFuYZmonmke@m=ENAQQFujFml><J=TptAXtqYDiJ@dQwduG<N@xVwIpi=VZ=tUqQXEJ]DJ@PJZENf<PIPJELJ:al@<R:HK[=P<tqQ<pL<QQ\\WaYvklK`eq]iJJ=XTxJrHlYYoKITslX:dQFqqR`SFITA<NrAVQdk^eUrAx=\\Y:=Mr=PXAqvEXAdQq=pfDjBlxg\\wdLqYDuD`yGTud=yK@lu`o_tuNTvShy]EJ:MvsAlbmj>HmM<Os<pAtUmTqGpSXpU\\hJWDQWTNYEQILXN@lT@K@iTQtRUAS@QSi`llyL<]MOpWDplpxPUhQ^=V:qnPMvBpmEht^xY\\MtihXm\\rk=qFIkFiSZEOmHME`YMQngTNHdwR<TSurA`QYdKrTkQQN;qJ=dkb<l[MPT\\QC@V`ELAYxFdNtpRsLMc`T_QYCuV;qqZERA`V[<Jp\\tuXNAuNnaL^HKGLnHEVppYjpTJpQUdnHdRaQrCQMxHMR`w:TN<dVp`lMmKlATF@th<JElkcqO^QMLtx;<T:yx]HVFePBDVJPJ_aK[UWweNCeqA]jHdUeDuCtXyqqkdxHErkLrlYXs]xMPJ[TOWyXL\\lg=mPEXslVm<JDLSpPsflOGMoVQY;qYB=p<HUr=yh<J^=wg=Oq`qg@NOXRjpJZMRRUl?PpIhVBiqh=wAEPayRYQjcxTOuRHQvg]Kp\\vYaM?MmMESZAL[ys[pkmurQiMy=J>HRWxW_tWe`j?XR^\\NbYUNiVEascAxC@VjPjlhPapNyHMwdR?aMZLkOAPqLv<LqxQXGMpsHQEEPRTKtdOIInWtvv\\n;=MxiuixwCmJP<MYqUgmTPlLAUmQIRstXnmSJ@J`pWLhKv@NmijRYv^UQLIjVtR>DJIlNC\\Wedyu@k=ywphRk<N@huMluiMtYqN@HRKxxm]r[HVMuVUuqCUXkTvWlVw\\oRxLU]l?dXPHKwTJYDW_EyliLnuvWuQOXwmLquHgoys@>r=nt;nZH_wPofSWqWgvvarOFbyq[:x[ri_j@m:f^F>ZLQ[N^xuq]r?bPYy>YlIwZ:prWxqrXq[hk@XxTopNYf]osxfgoxpW>vB>^>viGiwRvjivi]YeLavFvvU`ZZ@tqVxV@tI?p=?Zo^gXnrg?m]gjkOvxF`ZWa\\Qqb@`l`lWype_tUIjIXbypmKNrfV^NXZRIeyvhj_cTPfWOqbXdx?iXGwiVcYI\\^_]HYqiHbHVlciuZXrowspY]eA[_Y_Knme@hZgmOHnjVd\\O`^>d@@ZB?Zl?f<Hj^@kEWiDnuFh^IauNgqbA_\\AwcnnM`_AQf<A_kfbyVaAgvX>\\CYqfNvRhyx_tU>jE>mm`wdVo^>j]VfOw[n?fpHunoZIOflNr:WjSg[pFn<@h@Fh@>]JhihW]mhh`AaR`dGqtPnlR@jJxscXyVo\\__\\efaKHnYi\\j?]qV`HXj?Fj<QsfxZN^ivXbDOe[^f;qhjFpfYq;Aj\\hdcWtHPvRVa`CEQh=;V?svE;b;sVi]FNYusKTmQs_iGYIhWcV^GebGr@=bSAHEiXeaCfaI@cBWgDWKstGwyIByqB@sX:KE?SFhgWHATHyV:aIosWA[yIMGt[dgGExCeSGCNUbmac<CFj]iQmyLkSZ_SUoxiGV?uDqaDamdAeYgIIy;c;sRoOvl[iY;v<KWhKxn]vF?sCMGfogdUC=QbbkVpGBdWXpwI;?rSurAKGoEgjWslIi@aV:_ecauLAvCgHduFNwV^KW@;BFMIVWskqIlSrdsbSed^cVSqSsSi:oYPch]CYOID;?S\\EW_GukCYHIGMKHOmVmygrGCUkBJKF`YuLQGmEV@Ust[esUeFmUWAv]MGE;u=;yM]b=ewlOvy=i[=Y]Oruqr?GvWscFwFFsw^Es<gBE[yq=UVEFb[B_QiL]WtWuD[tMWT[YFuqROyF^urJeb`ushUfsgMh<JSdlmPnBpU=TLE\\Y:EJBMYleXSdTE<J_in=eTcMp[`MTiMI\\jjaSeLXG@j[DP?HMLDKHppqLP^<Ju<msdjSQrntx=TQQLsNESGivj<OkYR^LOU]ufDvemNMERvAxRpQJAVmeLriT;EL=Xvr`UQIQs<L[PKZUNg<tB^aFwnjoeA>qbWtx`ZVhaVnc\\A`_PbPFhRXckPxEOtxpulAjAH[h>aQqZI_e:yq]hoNxlf@ZawhHVjIHegijB?hKOlCwZgw[b^`v?\\dQkw@j<X[Y^k\\_rFG`aIvZAsJwZ_VuZPs<>ajVt\\vo;hoNFx?N]bGr>Og^pfCqpKyhZQlhQjDv`EV\\Kqw<^\\maqDPgOGou?nCfgZ__QFq]caGu:kIJmEFmrhqyD_xsErumhGQC@uu<Ix?uhyeW[Svw=GliW?evAIFMstC?FRArtaEq]s<AF=mcueuK?R;CFsEhHaWASyD=D<WB^IDZ;BsKRNWbrAgvsFo_xDiyD;Dnev;abe?hxgVsuid_v>?hHYwp[EAYYEoXbQesgwdmfHCDh?dpKHaEc:Wxn_w=meO;XK;B@;yQCfnur^]DnCWu]RpUCdcGtmt`QBZEF<WTtqT^wCA]CrASSaEtqw?=U`_xZYrFYsKUW\\UTPkx[AC=WDHSBfmdKWfgwi=gC:UF^ysKcvNqE_Yx;IgUMEF]h<Uvcmbmis:?S@kIHgF;SBK_BjKe;wCB]EJ?cukDgmsy[SMIh`eWYCSZIDsqeD]TR]U_oYAAXWOiW=FlkRDaEZay?celYFtQfE;GpsCbSd<;BI;eeEiYqHTaHdAS_qfa?UQOsE[v_IbKEgBEHb=B:CBEOB:Mt_=IOKB>?R[;VyOdw;Hu=tiEXrShU?f>;b>YIhmSa_HKCb]UIfyr[Ee;Ge==IqmvgsY@gDm[hxcIhEES;c?Gx[Ah<EUDwfP[VceHlExN=VFMdZuuKaVA]gPKuHUYY;grIy\\GV@ItQMVNiIBcvm=UeSV]KU[]b\\MCuqYvSXjYv:Sikwhi=IL[V>Wbw[b;oB=SYRwRlSCC?CqMTksXOWUJkgZUHZ;HWOgt?rZEYiESloCjCfLUYlmU^EGO?xG?Oj@P=iTs]wCeqsAJZ<RyEpY<r]arceRddvOXLsAp[yw:qk`AxoAlM`Motmgdvb]TZES`xvOXXklkAqp\\]kmlOaax:]Vd@pCtQN@WjLM:dLB`NOULxxK<eRaYr:<L;uyjlwbxVsuSKYqXeNULSxho=Ax<avA\\w>eT<tL>=pTXw<xn;PSGmq]MO^`YjLXtxmUtJW=nRETslRjqModMXIyN=P[XjpTn<]y`iuqyTNxW@`YYhLN<X\\=L\\IO^pwtUYxtneYXnPldpx;ym><r;<n:DvbELYQKfHJ:LMaERAHyNuclipKGq;_]O^u:i_AhibVZPYZHAxWqwEq]QhpJwdKYqRoxU^oA>ua`m_y^O^bbgeEQoeyxLPZ`_[Q?aivZV>uu^qV__G`k>gtKGdp@]NG[wvuY^d\\ioRfvXvu;f\\gQoT@nvxplviiWe;od;xuKQ`DVmKPmvpmlh_ShoVQ\\X>\\CPiyYe@iyWfkK_jnFjm`_Yh^kViIY\\lohb_gFan=`[nN]:_jBNZQV^i_ntYu>a[sVZXF]rAyOO\\>PsGavj^hj@aM^_P>_X>yJojO>ZbFyUxjdqufy^`wyZOl;vnoG[XnjDQdKHjww`uIlZg]pAvfapDImGxpGnd_>^;ybTnse@`sAvjhm`@hNn_Hy_:fbEHjC?eZ`m;>tFIwfNqY^cLP[K^cqPcfwagxfZhglYfZXv=ork>tcNfPxfvPccIp^VdGareOoTxgSomMHoOAhI?[HOf@oyFqhZNbLh[AouTfgOqa;VmV?^yQvbhcIiwfy[:^[mqeHPZV^[n>uS^iwqyl`saHZ`Il=au<GbayfJnnK@`ePZmHhVXyVPfpP]Dp^Fin:Ag\\w]R>\\@vZJ_qeN`vNoDApGyr;GnpVrPQvWAZJajp>rBojqyZXY]sv]:^rHq`_a_i^ffI^SHsu>m]Yr>faZGbP@qIihYXup^]?IuSaaFQmZ`_Xxiny[iQ_FxirvqAPd>h\\eIZJQjmArFN`V^yA`[aVZUW_o?mBGrsWfv@fhffUNsXAmFPx_YmKgjmNnaFcCqxGIo\\@ZQ>Z:^lIoft>]R`t>PaYh^WHi?qb;I_x^jDAd`X[QIqwv^IH]OAr\\^m]^ZFvsnPdXocTakdwjjWZAOiZVnQWZWom_yruW]f>]jqlco\\?XxifvNXpsHonVuTGeQHao^ejNw>pmaVt^IsKItd@rlwpL`tPq`FghSIrWvxNvqiYvIXpLVwn_ZavxFpcDGg_@[Af\\On`qPw>yj]xv^AlpObb?f`wc<q^V_wvo]Oi^AA`]Q`;fls^Z`>^kPbMNf[?`LnZEG\\JF_=V^S>yBavO?_c`cj@eZ@kjXpZyyYqUeGGSB;]DXatP]i=OCDObIKGbkIsAFtYD>sUvYvxABYcRJ=d<ObqQudUVxgeW?hSQeJ=gx;Cm=fJMdrgSgmxlmX`aeCwD:[se]wFOdaYs>os^eYloIeTrk<sA\\r\\Qx[xwHXk]aSLaRF=U>AvrePBTQY`OD@XIIVqmLxEr>Tr^ljx\\ZeXrOqkyniKiyjIdH>cBn`xPwxXv<_x=P]_>lKftG@pe_wMOqLFvu>^\\ObUa_PA^a^_JqhQ`r@VhuGhTi_oO`yX^a`uf`_t`vVGwcp_PQk]i[[xyC@oFOeUNxqH[FAqpNmygZ\\H]tffaGdWhkrGZZpcnfanP]wHfcHaJibsvsrPeTwncojkng]vhr@mv?xvVb`Hk`_i@Pkm^nvNl`A_W@yEYuvpmia_rqiB@xuQy_Y_Vv[WpqR_l<Orwwugn]\\Oy\\P\\LNdf@wuhyJgnUGnH@iZAfSoyPXxcFiJQr:`i@QfZn_o?kWxhdqoMXv=Qj:`cshq_I]qgxVyxOVsMI`Bxx^`akwmR?o\\^\\a_y:_wwwxPxkVWk:`mQvwq^iO`hCp\\:oobwftVdWGjNV[^h]xwc>qweFctF\\^YjIiuIFdZpd<o_^PpuatBFyFHc@BLWXVUSdiDESYPCsICRIufYebaQC<]B;=uVWwrUs\\]ReQSZ;WQWxg]eqOcp=EQAyHwHiWblcGewD\\gTZmiriyQQck_dnOH>YxXuh[aFwQwWMCN?YWwB^]fM[SJ;WI_Tpwf;?dQwrBQcWWyTQUbuT>=uleibQUxMgySFKGcPwEAWerKeDwskEDe]G\\UeB?t]IH>eGqESiYW\\CHgGhMeg^KDkQIByRPctSURn;f_aFl_rrQFUOVSEUwaUlkBmOukiTnqc]WfXsxfyesaiTys\\YYGewtedJ?fAIsmagLCyRkbVGgR_cNIiZEWDuTdwBcWDZWEsAHlIVj[T\\;FNWhq;EFkB=GrZ=HR;rwuheuy>Sri?vnawf_YYEc:_EG=UfgrZ=PR\\;BT?xGgblWDvor]]w^;B:;B:MTKWDKWgJ;eZ4:\"\{\}LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZRzYjJCIkIT1GKi0lLUJPVU5EU19XSURUSEc2IyQiJSshKUYqLSUuQk9VTkRTX0hFSUdIVEc2IyQiJCFvRiotJSlDSElMRFJFTkc2Ig== Welded Beam Design Optimization

The diagram illustrates a rigid member welded onto a beam. A load is applied to the end of the member. MFNWtKUb<ob<R=MDLCdNNZYM;hM>D:;rhuGRIZZRLCTJcDXoXuuX=[EOiY`YYxgbJ_G^[CL;SBCGl?W]cHRMEvKCFkE]ov<gEnSH;=IkAIOOcm;i`MVaMG?SdWIg;EgTMHeiceqTLerhmVpshdefDqtWAfgOeCwVhihmeYiMDYuF;kFm?D\\uCLGEm;u>kG<[F]EC]ECw?B<SS\\WFS=WYceAkCAWtiKwQWtgowxsuIETluXegt<Wf@yvAYxyyeaIsSGeSGx:>lpn\\j?;Fw>J:MQ;BLI[:^nMJZdm:BBu^:`_p@`UwyZWZ=VZYiyhyhqfgTaxjYrIvdPodhPeoPkYn@LtCaybawfaYmisqtSWPQ_tpymymymUxkuaYxDsbdLOdLlIThuv_ivkYvARtCS\\Gv[Iv=ybISShCEWcEOWimSHmCIsCIPyFnUEFYi_eV_UgFchoghOgdOOXQwX=>lH_m[g_P@mfGt^^fTH\\ancV@tuhj?hjXwoQOlDgb?gj>h\\YxsAYm=B:_XLSEUEh^CRMSDMsVGkv]KDJ]F`?SREdBQrD=\\JdBMRPSSfmV`mVDSCEcFU]v`qvpqxpqSGeS?QyWMbQMb^[gBMTKixZkT<?J:MQCHnRMtJAtjhXeqt@qr@UwQqxqyxqAM^qjVik]YqETPLdv_ivSqpSQx`MZ:XkLIcnfrLFdV_efFn^HocH_r@pKofJ`t\\xhapn`PquXq_FoF^[F>cRGpPAc\\`^i@fUG[L`k\\xlhvtPqttgqXQr<QbXqELpgdm^LTfDkftOitoXAVxLtQytQYuUYO[eR\\TkVAmR@mBhxqUua=lZdV@eNCTOoeXoMmT]Jiq@CEVoS\\_GP_dOgdocHoCShCLZDriAouHSFYqLxj^LWBMTKxkwqjRuUj]tZeOh@SRLtO@NCMOPAV>BcYeHMfikdnkHpKSbCHQMWVsTf=hg_BCMTKidZSW`AcXgW_;SQGbnoi\\sEMsCR=JZdmrDOoirL@m>`UCLtTPSQuTQ]YeDRpPlFHqL\\nEARnpuA>^W`sI`xcnl>Q_rg^BWlD`iNAvLVwEnjVG[Lqje^pXyZ:>lHOlhOgdOo]Xn]AsKX^moefV`YgrL@ecQcJhprP^sVblNs_XcQ`]VG[lvoCNlI`o>FZ:>cansJXdoIn=wj^NmFIqNNlhgrL@eSqd<`hWvnixoIWweFhnypOydBFutweh?pL^:;SaChCqi\\ESf_hlIhkUv@eieCvfwhqwtvoFBmI@Qy<GvTuwQuTQUhL[J:MQSXvY]yKaLE]vNMOamwFpOP`r^@pj@tP]UktoCLlIPXUIrPYyFDV@>^W`sDpqRO^ansgYuqXywqiQx`QgxS^suXr=YrTquGIuPYyFFf@>ZrH`W`bY__K`blhgUq`HWl[FgeiyZilZvfUwwugqXg]<aceiI;d?Gw>OVCMT?_UCKdROfgwx]YUCKtTacsuhr?iRaiZ;cPYy:DmWpSbllFYkZilZdM<aoSXNHhlZdWrPLl=KmdoqI:ASa[DEMtD=s[[sPiWpGXvaY=mC[mt@ohf_B;;BLYGW?TfCSyEvTuweqHUaR@?HUwXgggqiHr?XRIJLemH=OP`VndWwxuRAubxXGqtuqsHDVPqje\\o>DZ^faW`bS__K`_lAu]wkK__CA[[VeiYax^jSWsd^[[o:kc_WdbYc_KDA]FN?ywqYtYd`mgZqtuQUPEXvgxxoG=CttuE:lmnMPxlQxxYyqyBtSJXxG`NLhwUypmxvZTyRqOdlpHDVp=poqqXUL>Uww?jbWtCpdxYbPFyEQsDq`gOunyry_yAawfFhC@h=?mWhgwxoUXfbgqIBcaFLwuxqxqGFYsEXkExIe;WHDWW?WE<agwsT\\AUCKtPYy[sbjStt>^W`umqyuyweikV`mVXuqxgEyrbysbNh=hq?nwKngBVx:Ar:`uj?hBVpppuag^BBqqfMStFasF=XnCvFObjMroouy_XcQd]YRRghtuRWqKrhNW@SbDxRdjM@qyHRrXPDTO;mWMlooqqmXRRhoUOhFIZZVaMIkgvlnhpoh^cak\\h_v@a]@qA?sPYyHx;hnEaK[mZSglHOnsVnnixoiet`hCIrmNkV@cng^BX`DXi>`gwxuUYueXbRX\\cgqYIuSIoqgsPYyFJ:mT_XlNhmK]suPX@EtyUylmRkUMWiS\\muopK[mHTRRHJZTuLIsVxVNDQS<mQ@m`LX@EKsxp:XPDXo>=M<awZUwweK;apXyZSgLSEgEv_meK]ICsCmECqwh:usb[g>CiA=i[[sTAtpkitgeg;RUubjS\\:>sX`hL^_<I]_nq[o_;Y_;ovSfb=X[yVfQ@[hXuSxwefiUhrtQj[qjjVttw=_WEuFKyeKMvUkvLkwFOfQaBkOD^qE[QUiYwHkWaubjSwx?GPMb:;FEMtC]da]DWkv\\awScbw\\u`\\UeiI=ec]dFLpddm>uY@Eku=mE=smLKuCNKhoqAghhurD=LBQonMLGIM?Iu[mOfiOjunJhoqiXAtp]ioqIWN`[lP_W`bmobC?hRX[uW[ZPjUwweq\\fwfUf^m^jSbfU[mKRQYYhq?<TTAX_\\VWqk@Es:<RtDksak\\AVeiYpqL:ascHNeqXTAOslqthMGPl;<rODw>qNSdoqIuUofHg[SwpMasKvbWqk@Gs:>can__Aieiipq\\:ascH_RFmCWn^CcaFuif`gxxSQr@TrptuQm@hmTDmCUn^KQ=SpUwwUX_<kwhJhUnoUq@qr@eqemPDmXp=KmdkLHJJpSVQX@EpXxKL\\WwxMleNBuxP<wpTUHHqE]jf]lfAyJlVTdN=<NW@qnakL@SeiI;VDkWN_g_eDaUUiyinQtE]Ed=B^WDQieKMDftQVqu<lT<`u@qx]qSvpWqDPkDLAYML>lHOp^ak\\AfeiyJXiE>qDaTsRdqXsGis_EC=B^WDqWSGUwweGe?hq?rgMRPiwHgEukFiucIwIxAI^ydv=y[ybVsH:[fM;u_CgoqioyURqVLEVBShu=susvGUBeuPJ>^Kokq@xDvhOHoXW\\>ENgYtSIucFN?eQEb;;BcaBHSS@UwwmbjsV_Gv[I>STfCB:MI;aIj]ioqYrGFFQisebO?fnyD_Eh>MXaqtgWUUOeToxfIu=IR=;RtCRLCIXQYYGnmdRnirLDYu=ShDPUPt<<JcaJcpvrUwwAv[\\sTuq[=KmaYCPpRMNyLm`pn`Ds_\\oPIJZdmZdq^DooqqsPL>AL`alCpqRMtRAubDn>QUKUZ^DcYG?cgqiX_;c[[sHKfRMB:_X<sXk]ioqqO@^Jnf;QcJ_xbnl:>^W@Zm`]igqYngBVhoghoV_;G^GgcGghn_hVFal_fHqxp^\\EC^WDrGd]igqYrGCVPiWpoGYECLWBu=wJINGGu@qj\\G;>hIXvgxxo?[mwfawnXi_hn_pVe=Iq^?[mfrLBBuFjMTLOUiYUq=b`ExJkvbSc_CYsEYUsHh]fRM:[r]cBgXmodlFiM<aMwEp>my:XuqxWqYywaUtaZcaZj_k]ioqUCKHiQUAltZQlHyR]Ly\\Ek^LlgUupHpe=]LI[J`hHxpXysBH^Fa\\E?Z:`h<`c\\AieiyjWbRxv_g^BPfCB^WD^]IAYUiysEAD`Mc_;B:MI;mtl]ioqYBIFFQYG=d]SRRGGP?B:Cw>kgMObPYyk]C[mfRMB:>juw^uafnpuIneCNob@oJX];Y?]d?QDseeAqEu]c\\EKZdm:?aXQiy^VLxJQkOTO<Dj:uTQul^DnByoZtsQ@T\\yxuYLVUP<^nM>^E?aXuqgg>cRBISL?SpwWYqw@oVvAB:MI;KvaAYeHNmAL?Q<@JkMXjhxxdrLZLP^tqtui\\Of\\qpgWQla>dfF:_X<dmJhoqyurUvGHpkHPCQNXuoqIrAtMvEv?xLr<d:d:Sx`oixoYYqiwmtA=Sa<rSUKr\\J:<J:`h:>:cM:<:;J:LtC<J:<>;JJpS:<J:Dg:>:MA[N:>ZB;C?:Jc[c=J^JZQMEDQ>Dm_=VZ=neXoeevDiloixoaMG<J:Dg`yugXeqpZAvZEPkD@aNBZSUkOh=;JJZJdfGDB[B^YV;ER;sb<FWMURoeXoewIhg;vAsB:;FWBJJQLvDPvFTptexdQxlQXh@O@>>;SQcR@kc=;BZSckOh=J:Z:B:MQ:<JJtKper`=mMxNImkHpkhxUypq^`n>Xn;<JBQSNqSl\\k>Ul;Ir;IocHOHd:Fg[qtgXeXnvfE:KL^xKWXpMXmUXs[@J:<lH=lhqOYmqv]vBILGxOS@vZqwVDpuAvwxRtMupTs]TmUQYrIV<NtCN`S`rKXkQv_xHx@Y]igqoqt^av^ovNhdTxxY>u_IxnxwrXmIOiTqmiGwjAyUweXYdEycO>ZBw^Ba];@b:YhqwuC`fKXpawsDo_snivAyrAyr`aLOeTOmCwiRVgxF^UD:WirOfrSrbQrGatNatcWTaoIrAv=CCbktIqGUmhfShxAImGy^gYA_vMsshoXumHs;iusVAUikUsYQuw]cJQJB?l`PmTPm^Yn>WlEx\\inZyo`yvayVtxAbGYiUgygi_giwgIbSafYgiqasFgokX]?yxvWuM_vMBBunXpTf@U[xMieuthPj<PZUyfYUieq_DJ_`n^`nf`of`pn`Th]VJipAiMaUqwlMmDjntwyltfxpdumtmtYQXYyv:<JSikwuNSPWEqlglppEpL\\RlUXmuNatNAtJAtsVHQm]xbItYPM^LpVpQwMYb=WbdMitvKiw`TqH\\uyHRpqYWyVu\\yoqQx]v:<vT\\tHO_CN^IoasavivisYcWy[endgPeoHf=qjUx`iokF`kFP]^nn>N:Qh;MxD_IaEsLgF_gf_gr?irL_Wn_CMoDSaVyUXmuck?rmWVqYHmSyUgWIIuQqieifSKCa;B:MqF<TJ=TZDJ_ymyIyYhXi]wlivEiPy=KmIQL`ThxUypYgQuoXw@Xm@TxmPqtYpfEulPL=aq^ULyUwXIurLTuxv_qtQaY;Ey^AvhuUEQq=TPGaynHZca:?dZKh_UsPWfAucHuSIubFwD_oBmqwJAtJoTP]v]AyrAyBGRycdUWeessN?cM]UV]GqKcDOcLUdG]sg?h;Iy^mxdgEIIBuEH?;B:MqnIXwQyoyXYiYQMt=qjGTMFyJQ]oRExrYvIxmrDX<QUlDKaej;uWImSHMwdysOYoQevOXJ;@rZHRyTmYxmy`uZHl?IyeHjduxVTmSYL[InSAWlmnoXyRDt><JBckGgcGGmcIRegTehdEt\\gRkoiT_BHSWREEYsEQitYGv[IvKGdKCshSB@cyfETKETCESCGEPMdXIdpmXqGcvyf?ydMQfI[w\\ob<;B^WlfDkiEXgLPNeTOEwWUuhQukUr_YsQhxmPqIeRq\\o^dn;eWBPsD<ZceugRXiUe_sH?XPiCeCtf;H;;B:Ll_lWWQq_Iqu\\Vadr\\euWUUPmT`hxO`niqo?<JJpSjtknhmTMQFENHpYqeo^EOWApLmUXmUV?a=VigYZ:>caBG]vWihLkTnuXgGuHkS<QchGB_GRu;I:;Bc\\UZLxhQUgooixoIwaeXmdwlhfedhi[AatC:_XLGVdSGeSeTOel;WjweaKiWih`yVoexaEylivL_TRiUE<SaFZD^[SfyA?phqoWpmXpqtgxdhhqgogh]Vp[UottQc`xy;IZ:^nM^f:`uVaeUqwTg[eFvpwtday<QxlQxN_p=X:[fM;FysIyOrZwXouXgiT=owhghGSUPYS;Ot]=ul;B:_X<sDBshuoT=TuhWxu^gS>Z:Oa;X]?ouWWggwZaI`pwt`pgRQ`:>J?iSIumwVi_UsOTQuTamGy=iP]SuWWGIVEiF_cFkuwhgwhqwh_gf_FeAJLIKhYngTRd_tj?_fpvVieeAsjhfCijWgeWWuqxgahugB^WDVYFaKUsAibEt\\kC?]BKwXQqbVkhfgSPMFISUPieswRH_EsYry[y=mCl;BJoS:?y?muWUWelOVAp_Aj;mWBYlYQYeiOHP_Zfm:nkCpiqgoHVePiaeVv]Yv`ylF^[F^yhywxqwioimY]Hn^:>lH?vSV]UVt\\?ZAPrcFtiqooPeoPgO?^J>qjGv<vZJ>ZBCJ_RKkXQQCsWWwMxTiheuF`kFFiye;B:sBg;vJ[VDCyAQihKIvitYeyOyuvisYaEwKYNWVL_TtWipItAuEwMxCyF=mI;yvmiGR=rYAF:;XXchM_ckQvEwGxQxQwinAEGwH`of`_x;iS@wrYsYVmIteiXmcLMHFwcIWuDsFqsWXaIymyvidesTr;I:;RtCXiWfAucpohpOsGgxIaYmeWoAuGIrqygw=uokHlEwgUbxsfr?iRUdD_yUuUh=HNytckth[hOcDOcxoixgcGg[EP;BZcMoDyqLyHimudv@QuatqLeqxYp`YvMEjkXwQXqhhYrmxduwcXWQXq@okXN`vwvuvuKxsxOyMymP`kLAtJA^YfvpvjkngQwoXgxRVa[WwdQwRNv=>Z^Dm_FT?S:EGoqHvKxSwvgwcaiDfkUKUyR_yLYi]UFQogw=uoey]ogeyEpeurOtmqe;uIO=TJ=FScvCwFX?tO?f\\Qv\\mcd]xX[YjIrawexMeEef:;bnMbukiwiwiuEwKYnIb?YspkYcifBysV]UTeGy_hrOXuYdCYWQWi@mIruwtiVCMGiyB@qOd=taMYwpUmupD@vZtR`YxsAQB<J:Oju^^I?wlfKaR<KSnyUr?V[mYcwh;mYciuCGtestGOhDaWkevlIuXUrIoYnYFwaghYTKiHZkhPQB:;Sa;CEauhMvUQhMasSCxc[GXEGyoIoAwa]xhASiIgUSBwKi@[F;irTmTSEilefSmTCsX_c_JDQOytytyoG;cf^OgxIdasi\\aweSUEQGygEuoXgQXQiXsix[IUsGFYIxoUbxmTq]td=Us]vKwRrIf:<lH]uehpohT\\LRXEr\\ikYMyPQj?HyCYy@uKflUPExBqVsi^XAqLYfhHZSxdfvyZyZy>xVyi?Qp>o\\ppt<BLIcE?SZ;YkirQcv@Qyi[Ym?hreVdsioQtOghlYsuAuaiIPWGPwgUcrOSuOSsI_IlAcsoB>iDEAB:KlfmN[<VaqsWHj:=n`HxEpVCUVX]RxPVsam[yjy\\y[xvhiLEqVREUsPX_tQAcnMdwkititioxpqxP_TOytyIrQQtdyH`ei\\Eu]]Wggih]dOmgWmwDsX?QxawIwIWpot<;Z^opY^yZy:ygyoeu?HyUrQkx`cXuGS\\Qbi?UxGHrqi^iDCeGpWGPGE@[B:;NCaTaqsWXy@yPxHNqlYqYXgTkEUom<wqmWuPVsQy_Yp`QMJ`JQTwj<nOXOQMw?=RFTJ<<JJpSLiUZ<LrQrQlqZtMextymtt\\SaTLO`TOYsidqwYukXWqlovxWHTJtPX_QSjAPZloRmJ:<<AweyUyQysWXaqDQoTq[YhSg`yux;hrEuDOu_mvPQUmQc_YE=swUWr:_xDgV@GBSecF_cnqxpqgYuixsHqsdygMJpSjtKx=WBiURxyrqsiansqXM`JSuoRmpHTJLxU;@rRhXeeoXEpfhyoium\\Kb<LB\\xoixoaxnauvHYMYVf\\jOeTOExQ\\ZLI[LgwVIqmweyQyQiaS>qWa^;op[?b]W^QpgF^qi;pvMhXYPSPtUk`Os`v^IsMPLG]xhETKETgeWgEWcEOyER:<<tv^dwhMxcxRyTlcYuGML^xTfTUAHJSxTftypqyellmPXR<T;ER;AvZAnVAUoPWOYrItQVETKErYqK:\\nM\\sIxLY]Ykiqqque\\OXEm_UuGMLQlWR<l^plZIV:mvT<T@uWghulhVEQv?YkspkC>LGy^svQqtPqtVibsYEy_xg_i<grV;dj]W=AbnQkqtJYypHTJLySSuj;dnaiLEIj:=v\\irEhQwdQoeXomQYxwx@R@QQH<JJ^sipuXquipioYolWnhy[xpfXwiE@gRwoRo`AHZci\\EIwv^[bXoeXw]xkxN]Xn]PYqQooVGp_X\\:>ZcafXxy;fqmwvHGaOpdvNpspnkYkV>lrhrt^[bIkanmJq^eF_UQeuFasFuMYtMiuWiakF`[xkjXp>>jdIgUaweGwRihZofyW`AVjnOl@nevGx?ypYqiu@prgvty_vWl]HvZVwj>^ei\\Ey`h`qYngR>dlxoRosGiswVh`asgYuqhxhQp_Ws^YmLir>>^c^boYysxw[v\\?A]LIsv>an?wJWgeWoVAlbOrpWl^IpWGpfXr:`senlgWr:pmvOxCggkxwrA`ZF[\\fv_ivwiywQiqQuoXgapcWPujHf=vaZ>ZkNgYIlMqwL`j<OaCgpevdh@wpWloxcxgrvFh\\fZfWRGdXYTqkBt]s[=R[qgRmccUWgAr:ArAsEv=TWeUgeW[oHn[H^mRMcXxXxelTf@k\\hsTIrWIQuLuiYyQQlxYVDyuTiYfuSgtQL=r?\\OyYJJyy]\\piYWUYuVhyyYJZdm^PuHimudNZ@ShDY^YPIYXnlvK=qello=MJjstj;DmQHvFxkIXYFhk`lVlAlIeMulXf<yEmkYtQXMTLMTN]TNDxqAuvxy:qopiMgYQpuQ]xyuMwcUYxhn=YvieYS@W<<qJUxxqwPYPlywMxtxEtmxNeyya<RtDScxWyUyUQxI\\xAlLiTurinQ@QTDw=qX?Qps\\KBuoRm@cDQsDE=USCESCGgcGWmivEi^?dAoEt=waLyMey<iNEmlfHUmpVOQoOmvetXn]XB=RClyHPlZ]vMUuphWUXV=LkotmrAs`<rvPtTiRbPo@=wa]jdPXTum[tOjxl]PStDmqMlE]xltTCpNlMQ^Aj^hOeAPZTxDhVWlJnLQtLWh<JCMTsqyqyqYXWJ`RLUTMUVe=UlMynIWguyTLl>]mbmPZ@msarmXow<QU@pLYJFYSlDm_Uu>>ySf]gnqGq]EyeHWypvtSy\\BhwqGtwohpYsQiokGrYwhLIcD`esPh_wvHimXnpU`fT@lQ__IfqyqsAwnyg^CgvwxxXYsEYsM@tSxmYNfpWv]pZmqwexoxPwknlpQfvi_nvwggxqxpnxpqXulHsfyycqeuopuArhvuxniH?bLXpCH\\v^oOQlJXm:OjqSPgTRWbYYH\\Gswwv>?ibsFLCYtoyhkekUr_UI^WdNCydyTyOG;c>esPgeVccFifQ]GYewucXayyIuBIkHn[H>_c`CsJIXpWu]IHyyIRUiaAuFqeSyyAMx]EBLOgagWYUikoS]eUBICTaBLaiymV@QyOehIeIePtkuwiew;ytgyO\\tYAXqwTX?\\LuEj_ut;tXVUTFMQCejPqtPYRApKCyq<yPxEgP^_Fyv:`fnHnXxhhfquyctWa^qmLvryyrrVqWafQIj=nmWnlGNp:NdEyyfYdphxNVivAx>`eyI`yq^Y?a]IcnGd@icWWuBw^CwxpYuiwqrQvEp]]XqCGfkQcH>c@WmD^kwYuIoy@YvCIxrofyilN?eR?m\\`glxqsHqAAeZI^Y@Zcpffqxjyssyhonn_O]LF[cafXgkHpkxGyEyePxi[wtnniKaq^^ZSXwFInyAasnaTPpiwhqQ\\\\iqmxymOoWYxlWweoalI[JPgxPiCp^;ytkqxvQvoHuNQdiYpVIgGVqCnppgstFiKX`QNivfsfGfIPr<n[;OxVPaoOwCx^X@qnGwLGcOgiwy]vgk=NlcasofmAn\\iVt`GyCigBw]Nqu^o`Y@yawt[xhY^vaHZ^`sfQ\\HHh?nkoygXIrWqbnAuoQloFpRw\\howfOjohfVplaYutoww`bHOdDi_SGjTIkmqjAxjuVauv[Ynavy_yQxivqsisiOhQnvmhu^V[FqocayrYqtWi=y\\xHyKImYGiFHs<Hsvye\\pgugm]I^:ncDnu?PamxqSW;uRJiF:yxp?gdEW^KtoKroWYXMuOQh]gU<mSHUcsAfYywiAwZ;f>?RgarCMDDmypyWyqXIqewsItItI_F]_esSHuGCdmr]IYqyfyyvswUw_IjmwRyWAqgk]dl[tcYByyx^arGCiKUtrij?lrmQoahWmmkRItxTyiMQsHR;eJBMwyhLH\\wlhNMHMeQMeUxxYyY@NYppwErfYTtXUiiwYExqpXIaMuEWWtJq\\nVHmuyO;PpsmwsxvfxXYEY_iLHDUjDK\\tjItMxUxGyPAuRiYuK@XpawSyKx<yZqvGYmPyJETkQmlv\\Tq`pvpn^IntMMY`VDHnXxXttykyYoAMQ]LymveYyQ\\OFyyQyTyiq>iSsyXIQoOUo\\`yuELiuqMtjkylT<RtYV_uN[dmWhmLLSHemtdLlYpoqjCIsCySxDy^Ev<ijQyoYuQsMx^AwbilCHtetMWpyOpQa`ndpYceRGEsaPwPhQNuNamQHDWTLmD\\kW@yiuyu`uBiURxI@w\\dmv<OYtLgLU>Ix;<JLIST=KQ]OCltJAtjhXeqDUfsAssWXaquuuwwWvAycygWroYsagvQwwuvaMxcCIgiGeOgUmwg=UpATwESOeUXEr\\mCoMIrcxmwyeMwPyrlUfhyCxoR<_B:KtCMuC_UfCHOsDQ@TLatNaTP_spIoA_[yOxavi\\xhoVnB?eK@s\\Fr__nqalvQtIGwT>dCyndqlP_tlpZnve@nsWVybasKwkkVtrpnkYk`YvMGjSIh>IisGiVN^:>>Sx]Cd\\ES^UeFKYUmUVUrDygyeyeECeCre=REqEdWULmU=QEJMsvqXfQuCyevigAAi>?upkTTuTpMFqAhyoYwQyNatNgw;If[GFmqx<gBE[W=WBiif\\SrVWH<CJcarGPnfllNhlOhPodPC=OClOP`Ri@qr@YuHRiqmutXHMlD`YeUwT<lxMOi@VkESOemvQVG<OcpuwywyIvMxuHqtBMMxtuLtrREwkIxkypXQYEqxZ`rVUxp`jITUtDK>LJQtOX]wcIwKxoOXqOitOIv\\YK:<lH]UaLy\\Ek^VeqpGKEVwUsEto;FmqwKYfAesjOtUYuu[tmqcvQtIeGhcgpshPqdNetmYvm]rAwwwYxZib]QX=YyRyv=WyvqBFWc=YFi_wNeTOegWUipaysYxKkIees_sFImefYweYtuWSP_GSUh`ecv]vACB^EbyeIpQeoqwiyWxmd]MRtCcG]S?QDCiF?ir?IgsicwCWJYuQmgVEYiiqcQMJ`YVTMs`Ny`We=RLlTDmMdXVlxSvmYulhcxmqPglYinWyya\\vajUymFOi`QeSIxRV_wwdipeWF]SFpwneN_dnAy]ykUw]c>_b>]V^]FisGieoPgOgcGg;aBBqFiaXvyTLICcaFMUc_CtUEileVjQEJoUA[FcgF^QEJEw=yeXMilobo;fbcerIxyIHwcDRDVxqZRELyvQMt@wuiyIn=wJav^afgIrJGBNMTEaeCwB:;SaCuicWEgFKYto;fQkUrERiQwT;dXFq@^hxAwy>g_>rVQeEQ]J?awxwvag^QvuXpAnxCyo>`aDOumy`Dq`pQe`Fph?bKxxL`ugxoixph`wBPlLP\\Hna:>qtfm^odk`^`npo>^m`o\\oo;FmIa_oq`N`aNwgnno_g[bqelAaw?wyNw;IxgG[WytoOuRotCpi>>ngWZD`yJ_a@idsnpnO:[uUoSl?fRMDwgdesTxSVJYitWU?uhPQsgUWuedAkDiSUtOh@ut:odOetsoXfEvUygvUwpyFMGY?ScgudJsrgMXlMheWgEauhQiZEr<wbXKq=yKy\\e\\ty=R:;vpaXLgr?QdbiYTAfqWB;?bSYCHmIDyIbybtmgSWW:USQmtdiX:UhMEbPmtt_vGMxxuryUEwAw<_ub=yV]fE=cakRAcIKuhkwsGisw?YkQfVcw?YcQsTOeTwqsiayHSIE=B:_X\\qg\\ESnQCDKCfWW:eiwgi`UcwYfAucXAiLYFyoGwWyIMySeU=KGcOd^OTMgge=RqoRAssxyYyygVAgXuySySwKySGy>MDlAD:;BB;RLCTJcDYwiZERNUFxgFW_WRAh[?gb?cEAX:Dw>PVC]WvpJUQMJpjOTUEhyAlLi^srp[BOxDo`gHZooyax\\iwcyO^SYo[YhgFxwPbYweYyZY^iJgeWgqtgxdWw]YoPgo\\yyo>ZZqxnO\\_Gp^PplPdU^qt`nRO\\Mfe=NyExqrY[Iiuo>n]xbIPwo?bQooVG]rvhFoicY`QpofhmWgyknpPqfhQ]JIq]vavAirxcLpt@y_wWgHaqoFhwohUWw\\irqo_Iq]Yv]iIwcIt_Y]w_rPpc:>ZhwcaVr=YrYyyxyx]^a[v_ivsiyxiWuphsaYxkq[BpbjQ]JHqoptVWZLyccAm_ge=NlUFhnwiYx\\]wdy^qjqvyolUnqywxaFtY?gw@h[QrdPodxjYnirikqnuJybDWcEWgdCdcN:`X\\uTPmTppVGQmEtLh\\JyMWcQt_PlEmmxMycEq;ysxlWtpJ^UMm`o[eNr]slpUA\\NsOaIHexnx=yy_of`qp^QlAoamainvsQqbkPlHO]TN]P^_R?xCy^Y`kHpkHasFavayvy_gZP]A>Z^Xluo[X^arF`kFhuqxgWu]Iasbv;Y]qrGWb@CSjSgFchoTOeTOMDMWyZkVsiiqqqmhHZC?eKI`Eqpo>nLxcOUeKWLyVG;wNysTUBqsRl\\Lg]yLyp\\`k`ttyLwlAMuPVilUv@OS]nyxqYqxPXOf\\ON@JatwhDYIHsU\\kdMK:<qtdmVLQn=Wr=Yr<ykEyqeo>\\LmqwjHv>IkMlpmES?eR?`mE=UkIkUEXkEpoeKbausXX`iX:MRQAjtuusImaqwTfvXqj_w[Oy_WGemvee?bQq_WpwwypYXsGhhUyyaIaihbTV]s`xxYuyFybaxipn<VfXVfJweQwdQ?saOc>oae?`YFlqflvhpdXoeh^c@sgAs]YZ;>jnOjjxvLF[eN\\S?aQ`rGWefYuPAjnWgg?xT>tWiooHoUWZthyCavkydyiq>wtdixYhlYG\\XphsaxiPiI_yVamX_ni_kdPod@wyxdqHrvXePod`vgjPe=ftu>ZjwdtFlZGtUYuuf`of\\ey\\@XaQ@wt?\\aQlrAuPAjn^ovQyQyqP@p\\Xg:otkVsTY[hGu=ghEXceXlnYysypYviqOh\\qn>VnoGn`@\\Av\\Eodh`esQrEv_fquwXqb@obxsJYtMYtYyuYNpVw\\SpdiasEQs^nyDYiOPwW>ZrP^W`y_yexin^F[sf[BI_^xrZAvs`b\\OcoghovvL@yNv\\QvZIHePiooPbAa_eQ]Joe;Qv_X_e_hG>o^PoHIokVs=feigxYhiMogfxy<y`gwocFe^Y^]@e\\s\\CsiYxsyvYwHE?RT;UqkWVAgqwF`kF^[BEYie=VZ=RXAVPaUUcFC;tpOwW_iu_iXugPCW^qR[EV[swS;B^WdfOT`=HUggCIe:msYkcYWSnUx]svL?ybQEJGYQurfSWREdMsYjQEJGhoohpkwo;FCyEyqxMwiKWEeuevQcoiR`UFKIcYwUxcyecidsrfkdBysnKreGsIWiXAVxKFiMGsUWCYEFmu`MXukcdiePqVfww[UhtuTc=vwSB:_XLgTlQxlaWaQDscCBIGJus_KX=myc[EYIi^WhmWtf[CbMT[aULsEUAe_eWVUyeyUyQUxkS>cg;cGuWYW;TnYW:uWyyfyiWt<RxpXGHP?@UEhNiyqwYLm=jm=Xk`N`lQ=HYQaoXIwuar;QwWeR?ejhUp_iQ=<jnMlg]XqDSBYhxWbfx_rNgjp`ehlj^naQ\\CO_PAf>Hag`esP`rg[Bwo=NlNQne?bqosSiZEXcFp\\uIlQAjhnqwYlew]xy[gW;qU=]DuEh^kT[SgqMxhQinEwLWhOYIKuTQuRoqC:Cw^SC?WIQ_CF[kIHXVXS>]jmEkv]nsuTnaXG<Sl\\jXito<^W>diwgimWDIeGhdGQeW;VakRi_esyfyyRh]GeOgeayAyDWOGP_r^[VoqS\\MchUhG]ftuVXidq]dxWibou;LQCqS[qs_LneXoEIumEkhmU[aULdQUQMJHe\\^^s?siVhG>oNYuj`nvIvxYpyQ`]_hHWtG`_CO_P`rDWoqgkGhktwhn_hNWlDOjOYae?^Px`jp`VGvwVZ:`hLDUQSJ_e@[Hc?IxmGKiU?[g>cRCMf@YH@cieWiO]XeegVqhhegGEXk_FPer@SwJaWsuWbexHmuWmtqISnaWOYIeYvNuw:;dHMhJoeE]gSKRxycisVKcuO=vBIi>UcmqvHUUHiFKAtkSstUUAaGyYry[qYhyfyVeqtgXyuyqyYysiOP`rdLRoqSxLSnhkuilqiwUyvsXuhDUexXnpuA<RtDCIi>uS^KX@EcuaU\\wgJ[utuekkGKMhGGUHaX[QgqMypSc]OYQ[uhCuTei]gUl;BL`O^xyXdpotwLYXCpmHMLytljlr?is<iTioahOoq?ZBw^RXeBqvWoteOjVFgwxsJnfqVcSgxhPn\\Pbh?dwXZ:[ppvWovs`^;qtuqvs`jkn_hv\\lPiaoeM^boq[:Fw>FxYXc@nZ@^v@_]aErGYQgXBSHGYiVqFoctukbjSBZcerowVMdZAEQkbjSrd;ioqI==e;;dH=dbIi^CS==eSSv\\qSTqGSGFFABBuFB]xVMd<GHhLrfqSKXoqmSoXS`=X`<JLISpTSGAL`mrr@qSXv==mgUjmdoOYQ@tV<\\nM\\Va@v`iUCAM]Qrs`ro`MY\\mCAL`=jnMJQIpGHXkpmE]MfeqixnMljjTqJMOA@Pm<QM<NW@rWuvL`R@@PUQSlltmEKgxxW=Or=KmMl@^ohpo`PiA>lH?lGyvLVwS@^;I`h^[[ojO?sPYyHxdia`AVdwXZBw^jGts`j[^sj?djWwwgs;qsppuaPiA>L;ieaU<AD`=IBqX[;eoOYaAVeiYeuRYKUiYB^WD^uvs_b[[sBMd^]C[mhoWSpoTiAWwwCJoSJgbRSv<_VEsTwWteavSKrF;dH=bsGH@iBCedlGFFQutuediE:MI;mD\\]cEKdd[UeiyEudhCTwWBBuF:MRaQd>mbjSuTwXSubjSttuu?OTMeiMwXQoHVEftuBJoSZQcmES<WVV=E<aCeSUoqSUiFMei=;[kvM_DFCV`]cEWI?shEmVBSH:>cnaeL`qkn_VXcVIk[^SBO[I@iFSSRRGE]hpL]Q>HmPYy:Dw>DUBqP>HuM`mklOF^wTGsR^mCA\\`?jnOZQIkjo_C_noqqswlkn_hv\\h?h`XvOYa@vf<`h<>qhaeLvxJnvZqvWsVMRmqGqGS_AvFMgq=FW?BhQIQ_Flkr?GFFAhDesJkV@sV<_X<;ieaUL_f[[sFGXkuFUibZEST[eCAD`=dH=bfyIQ_fZ]cESJuXTjUq^UWoqscptuQqZHSeiYJpS:tpVXSRLrFtVslQ>HUUiNA`oXItt?ca>bpOfBV`LP_VgxHOZk`uZ?[m>ca>Z`qrJnf^fddvjjVwt?\\OYaJpc:vpVXcRVv<vn>XgwxsJB^WD:CcXWSRSv<sR>_WwwwrexHaiBmediEBuF:BCYE]Qrs_rgMRpouiiwgiSvOYQIuSIgqEgXIbnMBrGxVMd^:pXCqtdiU\\doqisdimAAqfAkdiMB?jfyaQ@eA@`aFgFX[=?mWIskQwWx^bhelVbRHB=Jh\\Ves=TP@SFCV@Cw>tJ^pVFXK=WqPVbR\\J@_Uqp>WwJnf@AqZFhc`]<asZacLI[:vhWXcLbjjXXSbeqiQRcTMVHsJ^nM>ZhXaQ`rwnr?H^FApDFutwukQwWVjmFca>ZVwhhFc@A\\`oRkwNOe;IeFCV`ce:;XWIi^CS]]UrsdrWdggUlgphDlPYy`exHHB:_H>Geknl]YbRXjUi^UWoq_pEo^W@ZBQbpH^FIcTVv<A\\`wtD`arVl[:kvP[uvWc[[sjmTDqbjSeQCsm]sCuF:[ulmG[=[>?qPYyTAh?H^FaN\\rymOCMtJlVTuwuhSdmjjTwuXkdiMcaJ:XkHiNFHhAfZqpuqVusAaRQiYPwWFw>>jupSSVV=vZcWQ_ElOYaa\\Yfi^GtLhrENxmYxEV[Ev]r?v;hjEV^WpeYwyivuHvxcPr\\PvyNyVW[yN`LI[:``wvl^pfFX[eFBcF]OYqIt:AyLgtMYdq_IlYWhyFYMyYCvxcxiqImQBy;FLIC:_sJOe[[sFfp<idiasqCaYGVUik?VvqtgQf?UHC_ypKCEOcQiYtycrIXJoS:@SphWCHSTTv<A\\hh\\YgxhQt:QjthtMIkvwuGvQSdu?dqMEcajf@LVaqEQQ>HmklOB]UnTRRXLftmVqmS=uOiY]MVdXldi=XA?iA?HUqrr?UA?HMb<qC[myjyHXGgmGxwoVYyRmceiiyVaieQx[[s^WD:kGwsL^[=QsLgquQvyGiswwBAdi_oi@`sfvsP`l@rtAkEyZaOlH?ZrHyVOhiacJ`n[^sFlGYVxyOW\\YwYYkpYOyR=HqqXNh@K?`Wwxm?ituLtC<J^pWFX;IUiehiyxEuTrUVdse>sDHmvNgx=WHCuF:;VQKhoqi]j_TU?QUxDupyRi\\YhYSeMLVLrfUgSou:in_hnqxgYqyMyawYtTPmTNtC>Z^WmNakkGfBVhPAkc`i\\haHOhQnvsVarVdexhlWvZIr=X]p^gB^Z<ntIq\\Of\\C?^XWqpggxoixhxkIlKH\\C^`pxfDNtCJ:hosuloaUL@SeiiD?lAH`hF]hNylIcBq]an[HFfxisioiMOeTOamV\\\\wdEQwOYogGw^Xn]Xfv_iv>ySxcyfynh_]@smfgCxbsiyxQj<PjjGkAOdrhwuNlH?ZZFeVv]<awCNgwxsJnvf`_Y`bSa]p^eeiiw@cxNhoqgf_gFOl>`urGw_xlfx[DO[Cnql`o^`n^Gx\\irpx_IFmQ_^m_jv_itcqYfmoFXof`ofOSGP=dH<rv<VBTP\\`OY`rWaMPawG<wkLusaRxuRCMlJxkPAUJlO\\\\WSQp_LreaKGdKGmSHmTOeTCiwGUmpdjvmkg@X\\USvDtYEWIMQ;<j^XVBTP_YlrXKaDNomXpmqsqvUpt_@r^UK>LJAqkWTqwUyp`nGPn\\PnbTSZTX`lMLI;iRdsbjSwHUUPMb`iR^QxC]E?Wd[Iv[YrAwCEmGSWhYIX=UR=WhSirVAW\\sHpgWUqdUWeU_t=uRtCB:GyQcsRsdR?H>GIW[Rbse>QUrCcl?U\\CHnUwPigGeSGeV_eVIiIqaeMuYJWtawSIkCHKwgIdKGDsiWf=ujGbnMB:kwLkXFWc]WRRguvkr_cV<idIMff[e>aTfCdVMtRAubAyYCVb=WbasSWHPyRHyeysi\\erDcu:ORtCB:sdDCutuuteSJSRRWtP=slISncbM?GEgFlYddMWdMdVMd^grucuhMDvAykYvApJNLtC>rWnpPYyPI^FIknpuqvd<Ppx_kEO_?vlIO^Nnc\\x_P``pn`D?_kvo]wcL@hwgc`v^aVltHZ?`h<>ZSvskI^FIrgxxgXbRHgwx]MVesa^VGv^fcDh^Potgq^;QltHZ?\\Sq^VA\\`ab@AqjRH]bo_Y\\UGV_fUEh>QwKUbsuxOyTYedIWIqmwFErqoFW?B:xllHNFQujejO@NUTpvMVPlS^<Np]Xn]MsLX^msPMrc`OP`nILtC<Jrpk=XVV]sQ=VBTX^MUxDujYyIa[Tnan?wJ`bMHaUoZapqRObtFZ:^nE`tFFFgxxWWA?Hy[vWuirEWoySymXvQRqyYXWHuKij?U<MI;;BFIFrgxxoUJ[vfUohDM<aOAXSEhN;XUMtpaMN_]rGXMqLqp@U<MQ;<J>qRUuwA`M<awZUwweOe`VGAL`AwqmlBymqUypiwxuqYhxiLtC>bVPlk^Jgd^]g==emkgoTpRMLsAQBIVN`RlhWUqPpDLMpS:<JHYKq\\jSUY>Iq^=KmdrLLtC<ZtQhUA\\`OKJmaV_AL`Mk_\\nM<J:mxBax[\\sN>lHC:mdEesJkntuQKH^c:txDlWwxogiuVhWwxMwAL`AOEhNLhRXTYfIPDhN^ZahoqYbHFfp?poqqQYwoh[[okx@e\\Fh>ObCxuiyhpG[C`h<>Z:ofBorJnfghsRWxJgf_gfOgdOy_xGxE@syX\\C_^Uypiwh[wgxOtC>Z:Fl>X]<aoSX^KhlZhdepd?`u_Xck`jnCBwUIUu`uUEubAYviewxkhaod]IBQ=Xj=CmQd_SSfwXckdJoKSHwZqwVhMgyXiawt<Pmxqslxa=Jj=TrptuQqGqPlUwwYtaxSeiKixtuIuIqYPPVCDw><sBeQQlsRmwoxweUuUaYyEs\\xnguUuhvhImEdQXpVdMM:MScUwwqr@qRwXMGAL`yWvUvUDxWujFLtC<lx\\vY@UWdMWlmHxtxEtmxrTtStmYkQUAhvmAJ`ymg=Kmxrb]mYQuTQQplP@IrSxLE<Q><RL`QuawhHuyaXn`YiAna<QV`wtmxSmKK<lpPweYgT_pBXvjvebhm:FcmatmVqTOuUiaXpxQy[hyghop?XlaomlamcG[kibqiwCGqyWdDimIgsxnvk`aeqsmo[@va^whqWjfaoJVm^W^vWwuvecvkgiqjwvo>uiVZ:`h<^fZpvaohsowIx^qQrCWpaQrx@sCafPWyH`mpWiF>mw_sMFvxHxJqvtWirAwbGqiHIsXmmsXYY_AwxgxSgYUgYfoR;;FW?jclmVIKalyPiqluv<=TpDtv=VPePhaN@@LUTW]\\tEmwv\\Lnhu?QxNTxEasQmkpYUIqWNHvDaV:DSAqqM<NSIx>AO>]qxTqqavh=Qsmxc@Laux=xoemsRixLiumuYmquPuqKHK^DW>PKStxXmYpLPRqMdAQeUwbAXiIO`YKYiYL]xYQUxxPKaJ:MtKUQ;LlXtShqTI]Qixp>xKalv?@s[lLd]MQUq`em^tKIimEImwDtyUWyeQ]hs:\\NYdpM<NsIx>AQmyqxXUe\\L[XrC<J:aRgaJBERvDPdxNgIL=IkSmsBero@P`En`euTHuYaSdtqo<JFikTIKJPkrMVDtUsDxOYwX=lpiYgmlgpMAtXaavfmWeIXZypKIt\\YughkQMYTqmyXXWExfin=EOrqt:<LULWa<RDMvCpLHMNgTwNqwsEqoipSqT\\TpQQyXytCdVQQMApl<`WuQSnQt[`tvUW:<k;dpM<NoDx^mojMV>`j]UPWyXhpnsxlZLqWHUgEuo=V`mv:qouqwUmoxHSdyp@<jRdvFasFaRraxmuswtVwXyDYOi`nsymausXhQ=Yr=qvWqpppP@pP;<JV=Y<EXvaKxQwexoDyrWXQqmnZyPIew><J:\\nQLD;BJoS:;B:;Sa;B:;bnMB:<jnMJ:<JBuN:>ZBw>;BZce:;B:;<LtC<Z:NTRt:>C::ZL]Z:[>\\>::Jc;B^jnK:[lRjuXH?]uCwp`Ao`qD^WD:<VX\\PiyQjXs]IWYIXqtmnapwtuLIvkypx`qaplnMJ:^suoaCpaU@ivV[s^h:>ZZFksanwwj^Y\\IqopWepFwcWufYlvP`ewt;HmwisPxo\\ph<>Z:NlRxcpqptiaXpxpqhUgu^AvqqeuopuofPagxGphqc[fM;BZcHtkspUUMUsxYVqMhDUxmSivsVh[xJoS:;jN=tgqNupKVyq;mhIAuQqwyoxcVwh_\\pim:>:CsSaVyUXmuSewiwgRlIsmkvPSd=WimmXnwsXAuo=V`qygOhNqS:?IGCErkC:;DsSerYUqqs@IdTiIiSEU;ThitIMeqYEUqS`MieyxWyuPcbnMB>YwjGb]AB:CdmGcsgDp;IY_uw]y_Su@YDPmX:;B:MDNqwskHmwFfYRAsXaaixuXKwvZYwgqeouBdESa;Zs_tvxpowmiv^AwwrYeuxkSWyW@lH?Z:>bdijbfoR@uqOZ:>ZLY[caZ:B^B:?xRyX<[rc_iv_e=?B:[fM;FG_WUqhGWb:;BCArDqC:;BZc=;dHBc<Z:NtC?lMx^IoxoixkYf@O`jVnR>ZL`^EyoSIisivQhx@xsaYeoPgOgBEFYcvpmUXmEy@SJpKblusXXatj<<JBuNkAwp<mqUsDQsPEMdUgPodPOSwh<;B:[NCEtPqt`tMyIxYtykAv;YjKlmp\\WrDX\\ajXiOf\\OnQYwPlNMOdLO^\\oraYxluS<J:<lH]mNTwXUlCHkCXp@TxKDKbLLM]Nf@S^EV_<KkPK>LJ?dJ?\\MA<JZdmVYx_yOyEqyxqyQt_XSLTTtXquxn`pn\\eY?@vO@NCTOL`TneQBhlZ\\RBiNLTXitUx`ynYtIUXn<J:`XlukIAVXiMXlMP@pLYVJXMluPPyLNilZXTapSciuv`athspPqtPmO@^RWhC`qAqnaxneN_d>aZ>Z:S\\CGm[Hn[HbiucGgcowhqWsScF[KJ@p\\eoK`RCmU;qpL\\NCeR\\MkhUpoQYwhj?hjvxpVImE]xKhNEmlj=e:Fw^nZsGisgx@VxKpqxpqXquXG[eNh<HlUV\\MV\\kpq`wm[XpmXdiq\\Qv\\eOdKat\\>iehfYPxlupiwUyFImenovLchvEylmcI;BJ`N>uXM@mqesO@NC\\MwqjRuUj]dVG[LN\\@`p[Qk^f\\e?`<ovTqpgWukYvAysYxaY^yc@bZ>`xnaX_dN_rKOZ:NtCX`<oo>FcLG]R>]JiG]EiGEleFB]tOitCyr\\Qv\\mCumFt]ykyrawfaWbiGDuCWBisGiGgcGOwEhYbIkIr_XcQtOSGP=X>AB:_X\\jnpnLitOilBQSJHYQmSZmVLEtZQr[usZ@jlDQsDOCitv]nZ@n:MpBAsBA[hVj@VxMg^_f^EolfFljPdXoehv`rPwR>ZBw^HHpg`ZGpkHPgLGcjg^BQeVGlj^nGvd^Y]kP\\NpslWhmwpfGul_vBI\\CX^tAs=w[w^pkWv@GqknaxnimqvGGiVoirx`GvtGNxcX`aosRHa``of`gCHblX[AY\\:>cansbn`RW`>`vFfgrP^YfoSX^tS_;SQGbFiep_g>cfU=RsMvCwF^;fbMxr=x;yBoIx\\SbseXkaxnaxOYgQevssEy]yk_FOGr;Ir:GrT]UccGgcdFOFi?FYsdisUhsgFIv?;RttVRqT<`pZPtQytQitOiNq\\vYMtkpqZpq<=XeovO`sVVxNYt;frtXm^vayviEqlgvjIv]Xv]Yv[QOZK@okPrZoa\\Fc?WgdVr=YrqngVAl^P`\\?`Y@^[qbXgc<Ao^pl_VcP@pGq\\:Fw>nkKQsApduia@WvvquXqeGO_TPe\\gi;AhgxxeXoeH]<amlnpSfrLf]TPmTpisYsYobYGudF`Rxhav^af^sp[Hn[dGh?OpEAq[Qx_Ys`oqK@ml`isQxAv]v?d<QkVqva@Z:`HIE?gb?oh\\QcgQeZfqIA\\`atMAjLxmYx]YylEy\\TQkeV^]V^tP\\^Fo_NrpVegnoByrrxqo>ZJDRIuTuwUgHO_BUuwUWG;Mutue[[sc;vfudRQT=GYq]Yv]UqitXeitex`isUovWUhvqVhUhOat<UsT=B^WDrkF^QSJohXydUCXf_B?shXyhHCV`gxxmfJiWpgTOeTtutVqVewt>ccF_c>sWmgtEudoUegcCQ=BJoSZAeJWotYyuipoqQ=WqP?qgopLndnfpFocHOuPOjn@n\\X_;OlQ?grPZ:`h<vr^`gBVpp^e[g^bVdbq`UWxTno:?^ZxlhvivIxAqvoIb<au`WmYxmixlhVpGq\\:JAhjeeqihKQ=M<awTeJ@TWkeVb=WbqrGXMthsPMTE=XkeRidUP@p<qPUAQoapgmxo`XfQQjTpyHm=HJJpSjuSdmjjntuqgXNrVoeXomkwqaWuD?lSIrPau`W]VAh?OrDQx_YsSqfE>jnOZAhZqtoQbZsVUuwugWBSxpgWUQHwycZGb=au`UgGsT^cebUrOCi[gCQ]scKRFiH>;J<`VKqtuI^[ktolO?]<am;Obp^eK@m\\Ff_NrpRUuwmstJ;BcaBHMS@AD`UUCmrt[bSotuIE^;i[Qcgmg[OxViee=gUaWSWWB;bnMBaibUnxBXfBVpeGu`Q]t_kgopPIq@HvpHuD_a_oo[:CH>GE[aBiUhOnkjvtJwpSQ`QA\\:JAHP>HumuyFPVbTuoeQ`qPUeUCLPaQM@`u`UULMT<UrO<J^XLrlrWXRRhWmLkK\\OVqPUeUcYkjttJu`_HvD>btFZVVlTH^FQutwm[^sSh^<mPmTnmo[xvhqPUUXhHnhIp_HvD<Rt>a`>qoqqpxhmopoqa=?mmnkgWmgHaQAdUwwIIaQAlgop:FW[E]ggqYJ<GrPYyXwoQH^FIMsHQATqGuHIIQAdgmh:Cw>;XFMH@?HeeW@QeA_s[[shgWwweC_XhGfsuttstJaix;GWsvTkhiAscuhXyVhqC:MI;mvEsH>GUmsB==eWUGlaU=IdKGdZQvDovUkvTKB^WD:IVcSE<aOTQpL\\l;mvVXWbmWmhPmikPtTLhPQAppuskHmw\\yV=JLIKVuNVUwweu`UmBAL`Uxh]P==mmDX@EXPYpGiPNiWpptspj;@RZ=rZeysLsQ`Oo<twpJZdm:VngxxUV]UfxhOl@@`eWrOVhBVhP^sbnstG^qHudi`;G\\`Q]dq`UovTNZ^X<Mdg=Cmwrb]eIAD`=Y<yWmghGiHv_YsQhomg[Qx_XsI@mspj:Dw><XL]j[\\sC`pXyPiQWeiY@@Pa]mjUufeR^Iq@PqGql@XO:Dw><XFXv==m=XUiYUA@PaHSeiY>UNVq`moso^td`[Gvd:ZF@h=?modIAlhmVUqVemso\\thmpKxvTLpGqLZd]V`llH^Fi\\Of\\lWjO@nFG\\hoo[pGuvVWWBqHU=bnMJFhWBTxmuswtlZYK`]rJlV>UN<aU=UXO=OVaU=mpSQJ^XLZDUXEY_iL@@P=eRRXWbb;YXGcFVAWqSU`QE<[fMXlRLrF@l\\tso\\KqhsPMVDTXGDRtDJZAP@@P]\\MUUrOdu`UWWXWbXeTXhGfhUhwvyso^ZBw^:olC`a>Hucptuqv?FbFbm;SBiWpdNBuOHLKqhsPUke\\so\\JcaJ:XVVtM<aogxx=mK[mPUwb@?[XqfeXydggmg[GagdogmhcPae=?jnChaDh=CmGiGqHPyD^=CmmtJiWpohsobLoSnQeZcee=WUqVewdhSwpSUTkg:_X<;rSCgVKrfmCFKvjwV>?XUaW_[gFIIQATikC\\GvD;Sa<Q]<YBTpppuIMwJlV^]JWqVemPnYPaQMduPUUwVOy>VhhH>SUJoS:;Ic[VeiYAybjSWSeb[[sSgFVaU=e]VXhGFu`W[LI[:vr>vpXytlPkmhoqI]<U\\?XmeCGiWpGD`QElgsP[fM;BHGhW]Tfmg>cyeyixYgxYEtktQ[CSQYYugCKfoqY`EcjstJupohso\\xRTufEme_nM>ZHV`QOjx_y]y]Uw]ioghoku?[mhooqqo?[mfoqY`B_vspj[UpOutuesobZRXyewIuYGwGSXBShpaU[=CmWeSQEh_B<CBCAGPIi@OsmuXhGfhUh_mOJpS:>mg?[mHutwuvPlsntQ^[q^jSWEag>cVJOb<ObDSbsAsJAtJgXhGVrn\\Qv\\mvtJ^Ntr>XWwxYcQt_ljjTNrUmgpUt`M[mo[rlstJ[fM;BHMSGAD`iTeoTcUrOkbjsVJSuoeI`qHUeUCKHaQETWufeXhGfhTUL[ZZ@hgBVpppua?[m^a[ypSQg=>rBVhGjPvd:Oa;>vF@vPYyFFf@H_roo[pet`_[gbeV_tvtJYhqWmgHA[^^X\\:>hLVbRH\\Hpso^`qd`fpoqyVXhGj_dm:<jmLTv\\jSrF\\uVUReqPUAKmeKWhu`UQsDQCQqLDw><jEejULrf@wpixD<J:Hky`N\\@NdhKgEM<awlMQQAtvXWWXWbmUY\\lFHq@PxDyrIxMYqpgUM;djnMJ:Tpn=KmHYqDY==]eiiPOjl>c^IQAsBASjUrOcsqChHiHNAwMItKIh_UsPkDI?Sa;jh\\vJlVg=q<AL`]ssttJau`UW`YMglo>mme=OYmOYtJ@lJn<nj]mCuN:<PA`tFDVptoCLnoqY@DpGiPN_ggXHAJZGrvQ\\Wqfu`tZoZWfgIy_hvex`ivAykyrYviVXfEOa;>jR>uhN_PqtuQmN_]fgqIA<SD?_u`UgQaB?=ee=GnoX\\oGX]iBUcWsckgeEaCgmfMyfIUeqWCDKCL_tuCdnMBZSv?shXytO?FmQeZsRTxtGIPnpuIAQ[qpSqJIiPnPQmmvF`VMAQhpYIQp=uXvAykIwcIWUIlktWqdPodNcYUMpS:\\V[@vO@n>tjjTWeG^A@`MQiyVp>`u`WisQx_YxaysUqmcFfnQuoXg`ir;o_n`fCQlGX]qNc:G[sIuoWwPIeIV^caZ:NfMngBVx:Ar:`uZ?[mXsCI_PQap@d_qv`QchF[x_ugodipegFqvQv?YkpxrEYsEy]w_xKavwweLI[:vtCgvJnfWw[\\g^bfsSWscOlE_vAv^iwkypyeyqH^Z<^]VFkoQafFsv_nZ@n:ywqy^oYmLpc:>^fWWG^>pe;`g`Q\\sVyl_cfHhgWSUKApKSXMJmPimuV`w=]RtDJ:TqJhoqiMYLrfxlhTP>HYXIsCuXv]YvewTip^Qlj]oU<TLPqWajnMJ:DtDDutuqqxpqDx[\\sWhmWPYQHNFYxeIwaxmHQvVMxuuqqYYI\\QjArKXNA]sAMkDPk^<LE=NmhPLiMSDMshYuqpoILWPubIquHJ?MVVMTqXmJpS`yRIUu`uUEujgIRyUWqIpwdpV\\MZTjRQUiYUABceiimg>CYFWsH?E<aeTCi@_WtYDCMwwUxGyHGYiLgY_ScRUUv?GC[Ep_XLItKIFsYF^MYM_clGX]qRmUSP_Im[v`_EywuiUssmt>Ly;QJ^VxiXn?ylmQ]CfZBAfHx[[ox>fpXyfBV``a^cFyjIv=QlE_oU`i_immIyIyiXqxFIpkH`CG^;ydPhlN`lfnev@arIm;I`HO`A?sVVfeok\\WcvfcGgcKooDFlHov?HehFqU_ccAigy\\wViBx^:ohZ?[mnv_@e\\gowHmhguthh\\arCvoQYgwWb@XkBFtI>]TapcWdByr=x\\BaoCx^tY_gIcaVxepxcxfwi_WVpkavf`y]QknOZ^G_@@`]ff?Q\\U`yvaiWFwfawqpkxWff_i]f\\Cw^cOwZqwVh]gqvwheAnfpy`AxynhwCvhxFauAmAQxvXaIIaR^yJ>jNQc_A\\`gucWsD?dPHkJ_?uwngxeytaMvY;l^mm==sqaXM`oyhXiUXRAw[IxnxwBIWqTl>=xahka\\mkxWWEmwQNI]juqr=UmeIujQJ^HjjeoqIM<akRUk_Lo[Hn[UwPioGhkGxLilUFttDpmnMJUHuG@pglvwXyiLus<qUUpAHybimnLtxxoguWmHynTSOYvHyv=mWWEKYuOC`xO=J`IUBqtucjSsq?ghog`=CmmdOSS^[dncHoCegIcoQsT_cuoUT_XLoFServ?WaAveQE]kXw_XqSHnswgexqwhn=e;MfsuyFasxUsQwHyShEYtXqE\\UwDii>SXqIGmGdAqxJSEX=bnyDlgxxgxT?F@?HM]GkSc_khAix\\Ke?SCP;dH=HaSSo_vheC]gvsqha_vkoeEsX@UTA?UAGia[VYaD:kw[UWww_mO^gxxGilZfgwxsJBwYc_Kd]SeTOe^sd^EuPQFLIsvUWXyYZuTuiiokdswi:_V<hm]YRRZHbceiY_IKyDElPpLSbDPu`w^EMLISTHoWUpHMjDxNvivndQy@YGUnCiqa\\jTqNE<r?QrGDVPqtua;wf^cDEmTioUWmUXmgWAwCuFBOUIUuxcSPkyaueTgUeIxOYyG?Yluy`;uSABluy?EIxQYYgw?;BZ[eNgC[mt@WGf_B?aX^SdT]GksB_AdH=HaWyiGukKr@UwEQevKWqaiVQyTawLiSJYXpegSgY<iuxiW;yG;;BKMCQQYYUEh?H>GI?[vBgXn]XVCIl]VHYfWgguSSBuFcusp?cMUiaAuFYTpgs_kdg]hlIwhuc_YhlIgQostAUTIBJshNaC[mtPYyFCVP_yq=wJIFCoFmmEOaom`Nl`mSHmS@KYpYhIqaaoquUsevOlyTTJSXyqQjyHtBxsbAwbpUJ\\LqUwwAVcyQ>HYIqmwltotopppp`RpxtJ]OCHKoXL:<rV\\poqYBINFqKppuQQpDmxGDVHPpRMlQxlqHX]qRQqLE=Sa<J:`j^TVBVeCort^jsVbUwwAwefFly>vpiwUiYyeFgussFImeVcEWcUyoYwESCECcaB:;v\\Cv@?HeucrshGCVHoiRMFC_VUqhgESw_rCmC]AvZAVVstJWdH=B:CU?ie==eMafRMVmUwPiGISXp=B:;CPgu==eMQgRMV]WXpMXmUXCuF:;BFITv;s<GFFIwS]GCqC^WD:HYPPm[\\sToq]VbRXts@e<OA;BBMcZqtuQuXisSqtuIhHCVHar\\ESZ;DjAhiaB:;BAIWeiyJWZjhxxxteikj^jsipQqeuwxWyh]v\\E_vep]u_wk`pdnljxw>>Z:`dBorJnfghsRCnUv@iCeYDHgEukD[Ys_kcB=GkYywIsRAvL?c`of`_SvIDMoS:;BSsGVAlTHQ\\YUCLkltNCMNSqqwUYTqSHLUkPV?Dw>>ZmyskI^FI^mAdto\\EOp=Fw>B^EijegqiXUgW^qtuYYpawcUWeUHiqfyEh>_X<F]CWeiy`pn`diujWbRh^<`gRAp[@qr@eX@bk`jnOZ:>bdAu@@`u_k@IyL`d^IrKHlKxsxoxmhv_ivUp`gOv:GlHC:kvGGiL[XkQv?IcCGcV_eV_SvYTVuixeyWyXYidFgh[Ur@KtC;B:;eyUTMUT=Wb=GerYIY=rIsC:;bFcHsCISgdymGduF:;B>gHxkIhIS]qSjiYweYamsVGGisGYmivEyDgDeKSDMSBuF:;BrOr<gBcMiNAhtexdESakV]WuVauVEsbKdN]Fi?sGWUqoWsMHj=sHCw>;B:_C`CX>MBDGIj;WtMYt=rZCd__f^_VGQeokeF[ElWv[uuC;B:CEgewTih[SxAQioUwlsxIcDUew^YWYUyTwteiggggOqIp[XDYB:[VqCISidQwdQcLDUuYIvRAuRER;EjhykkdTSlOX]qRhmcaRlyjSQPIYVFdoppkVpsEYsmIyv]jO<J:mpTMVBUrYAunaxnuUYuu?XKQloYuqhUyNmWhmoPlS^aqVatNal?XyHMMTLMfHw>qVdMWd<Qf@SFEohpopQYwPX=xpo<J:lsD\\J<duWiuwdQwLX=YVfMYghoghybYnI`sRPNqex\\im<TR`lyStvBuNtxJrLSp@p\\IPtewKlT:<Jj]j^ykEtLh<meiPtxwoexdittUygxpXQt>MVWxXRHn`ASatUxQxQhX^apv]k]]vn=XREof`oN@p\\DS?yvmIxxTJ:<NTLqBXPlLP\\xX_aPdDq^`pn`tvMROeTO`vL@RZ<NaPuFdoQ`rJpSvmJeItciwgitjPVGhMkijOTXS<kjPJ:<RjHsCIsXpmXXxayseQNHmYxmYgHN^qOWEc^IslIuf>y=xrpgsHpwxg[SndtXquxn`pn\\Oiopg=h`f@mOhlf>oDGZ:Np:IsMx^AwbAwtixeYPvp^oqvgXawdQwLXteaxnapAAuVXoE@aKNmQ`avAx=Qxn`cfqgL@gtFkVndtYyuipWgm^wp>YrD`qlxtei^f@Z:nvK`bMHr;IrRwsbGkr`isQx?X[Q^sciiOf\\OVgQqoOxkmoi[oixoqgIgawsXhqlgvDgeWgenveXhacar`PtJAuRA]VndtWiuw^`n^\\OioVpivosQvTnjdWgegixveXoeXvia?Z:Fspn`pnvCGcm>yCIsCy[x>yZaysYxTIq>Wm:Qcj@c^htDpbePmTPmFXafIcfafiW[eVr=YrT>atPqtPvBV_wqjHqsHOrD>ZZfrLPqVO^k_bQFhn?vj`rKhpewtx^yjYrsIysI[xPphqdS_pbG\\ca>_sjGX]qRU=UcIwcIdIOdiQDCSGlQsTkT^kVteiXQj?`yWMJ:Vh=VZ=vvIymQxktwpv`qvpn`pj@^]XHiVPZbW[eNlH_`c`rQnd@h[ancV@^f@Z:NtVaxnax?YkQv_V?qjWx`icIHdRHtMndto`_hhQOakH_p^`n^`RHf_xqyxeefe<OlAO^[gbXGeQAjnHwx`u_yZI>ZBpjhQZkOgYIkvPmxYaVw\\k_v_wthheuPioQw^fweGtGStsCCKSqaXLKHf?eQOwF]SF]xpqx@iEPmRGsfHee\\[g:;B\\AdrqiMGf[GFW]EJYi_gf_gHocHTqvOCEMoSfMCESCeiCtuXdMWDuRF;WREcjCCbKejOFikwoQYeQwdaXk;gf_gFwh?;jdMWdMS^Ys=xVoiJqHY?mn`XLU`qv`QATrDhWjQP[eJ:<VTEp\\eRvuUbUmOyngmUQqoWU]govqfgTavCGs_At^XlsXrDxrbya]Xv;PiuWi]O]^?]Vndn?xlpo;FkDQsDoyhPZ:XgGwcIwssPsmN`lNxxYyiYmmPyP`_SOnyQvGgiQvtrXnOFw^F_<ijOpyxqyRwfSNu@v_Mnd:>ro`^j?ctFkj>]Hq`exodPoDosQF]QynO`hlva[gb<NcVYjQhg[gbY_eaG]tgqXo_LwZ:`g_Fq^atcXdEp\\gN[Hw^;YptaxDFvF_qRojnO`i_g=xlo^oF^[F>al>iS@p<>ZSGwFImmFZ=AtJAlsPf\\WmOyvZWmQOtCXuSQrDhhjQh\\If?k[eRxlRblJ<<JLAtoYgyXyhYqTIv\\aysYxtAnVAlnOfUhtQoeXoq`gsTPodP_HN]ca^c^g=xloQ^Zvn@v_MJJHR^yysQmylusuvWdoH@YFHM<yWvHx@HQexkpto^XlsUKeDNAtOalMP]vOhqXuo@hLeqsR>jn^sbn^Cp^CqgmQctFbF^g=xlo?][_u=xlo>wJnd:>^WhivIxAqpAOhmWhYpitIwNye[^ctFbFFf_>ijQp]Ff?oEQsGeWgegIyvEYsEYv:WB:MGGgcGgsFas>sdCyfawfuMYtmthgUU?xq=IrWIanmWwZ`oxqvus_nahgmxo_tqoXYSuMUStCbM[eW[ifgbSosHqS<QC:[sQ_eV_e<Ob<ciN=udYbIkIjMFW_HiyIjWgwuRuqcWysbmIcIWumi_Wr]yWwEuGIt>_XL_U;YbQgsjOFkWFPIU@ohjOFk;S=QSWeUWwteiGf[G^Ab=`VJxYVlQxAiApj@pZAvZipewP_qnnaxnixeypaj>`ZAbah`eoakIlG?caVxWndL^]v`af?akOv>Ff?>ZL?f?HbiwkF`kB_cSV]UVh^ilGai\\IuOq]lVmbQfIhhsyjnOj^GpGnepVRWufUVWgVbUCeKD=_XG;SUowEiUH;iUGsuUvjIv=yWxGy`gx;mGn;B`aTXmUXatNaDvyd__tZauqIWXYudyWiEWiuWIceGmeiExriyhQIlafM_HGSGCkCXmEo[etcXD?h\\QXWgeWODD]sqMbO=FJ;dqoDWcc;?CD_Cc_yHgEaUiwkeuQvCIriihfWIJiUywsqmtGuRX_XLDu@tOUNs:Ar:_]=xlgKC=seixdasFETPmT@IJIQP`Ep^LxX]WsmsYxysymm=q:HY`XU[uXW<QZIu[EuZToSaVqqkmdoWYywtqRyvhXR<MQCAsjPvk`KXmk]\\oF]SF=UulwMlTlHS>PVChTkEXkqtgXUUPmT@Q\\=Rt`VMhyGiswlr<tsw`YLYtpxwFUwEYyeeQwlWu<O^XlFeLVlTtYyuYvU\\qfUKeLl>`YxtmhHJCPcO`]gaxQffk`bn^`n>chF`uN[<>cA`g\\ygWYaUvbdCishxovuWeImVychhifSsTXmi=MICqsjOf=wd]YCeSTMUT>gdFKDeEh>OuR;d@Gu>auDSWGyFIaegAxnwwBIWyWy^EicQeeqXlmV`mVrUY^ei>sBisBaCFWgVbixteuswflIiaqemouwXOi`nxyx:Ep><S;DyYlvOXOQMwdQwV<weMlZMkSawuTyLtTNTNu`JIlUpTrD]Mm`KghlOLrDMw?EUfDOeTOeMg^Fq>Xcn@jrHcty]V^]fHocHvJ?lH?ldApL@vZifU?ekIyvO]P_v]`u`Aguf^tQfCWf]Wn>P\\mxwY>jrHg=Vy?WkPfsqyg^phII`qg_n?lH?\\\\?xlH]POvRhfRigZ^or>k\\G[:vp[fmZokjPlZ=]F]?YwoUGSGPiWv?C@EP:LtC<LpyU^qt;Ys`=UCxWjQpxeO[eN<HocHoHpkHXNAmkFIYkhL?QLZDunMlHMkUir<`X<`R=Qko=h>YrDgf_gnhIkchoghxsaisGisootnpwiywyjHb^KeFIUZOfRMB:_X<[b_UEv_GcaRHEhkuCXmwq[XpmXtOGf?TfCB:KtCKdXkT<wBiSILkT^aufGV_oghoseixPkDPkVtIvDOhRMFk_W]qrG_DE=bNYunGWMwb;ou^WD^EEauBisCUBK[EPMGeSGm;gV?DwEh>myVUuqwWqYywIUJcr:_SnOV?QCHKBcaBSmGVAv_uR<Qc^WDWUBLqfuIwSkT\\wGP?S\\CupgWUstZUBZce:SxSkTvCcGkUXcHRgS;]g[eflOhlmYAWsJ]G;;ZBad[QrDwiywifXpFfg[gbHoxXwoqpohpcQVjLo\\P?_P@Z:Fw>FuVndLF]v`_[ArTIhYQ]P_puammxqmOk_BJoSZQCxSbg[gF[CF[rk;YSql^iv_IseTw@hLGYOkuy`DOP@J:DgBrWkt;YskobOGgcGgjEV?UYh_RmQCNSS:;Zjw]UAv_gqB>_xHrEqpjPvkB`ce_=_Gn[eviqyhyw`aGp>OpBYfIha@Gp>>Z\\HlmV`mVrK?bPYpHneHh`f`^BOvB`jLvqYywpprvAZJv`dw^jgZUAv_gw<W]qAv_AgNn\\PNc\\FuxhiuXvUog;>jnOZ^ggRG[XZRGnROZ:ZKGxGneX?qjGvavmvOfXinROZ:ZSOjAv_UHf_xQyHaEEDMCsGYmqfvmd\\EC:FZ`Y`f@m=xlQp_WO_Ix^]HmU>ZJpc:^r:q`rG]:>vrhZVNZ:>:oK:<JJpS:<J:Dw><J:<jn?Z:>lHC:;BLIC:<Rt>Z::Ld:>Z:NTRt:>C::ZL]Z:[>lmyyMQHyDyUFpX;`N:<J:<j^PNaLNQENjDB2:\"\{\}LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlXXRGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiU1ZEYqLSUpQ0hJTERSRU5HNiI= The beam is to be optimized for minimum cost by varying the weld and member dimensions x1, x2, x3 and x4. The constraints include limits on the shear stress, bending stress, buckling load and end deflection. The variables x1 and x2 are usually integer multiples of 0.0625 inch, but for this application are assumed continuous. Reference: K. Ragsdell and D. Phillips. Optimal Design of a Class of Welded Structures using Geometric Programming. J. Eng. Ind., 98(3):1021\342\200\2231025, 1976.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSI6RidGMi8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkk= Young's modulus (psi) QyQ+SSJFRzYiLCQtSSJeRyUqcHJvdGVjdGVkRzYkIiM1IiInIiNJISIi Shearing modulus for the beam material (psi) QyQ+SSJHRzYiLCQtSSJeRyUqcHJvdGVjdGVkRzYkIiM1IiInIiM3ISIi Overhang length of the member (inch) QyQ+SSJMRzYiIiM5ISIi Design stress of the weld (psi) QyQ+SSsmdGF1O19fbWF4RzYiIiYrTyIhIiI= Design normal stress for the beam material (psi) QyQ+SS0mc2lnbWE7X19tYXhHNiIiJisrJCEiIg== Maximum deflection (inch) QyQ+SS0mZGVsdGE7X19tYXhHNiIkIiNEISIjISIi Load (lb) QyQ+SSJQRzYiIiUrZyEiIg== Cost per unit volume of the weld material ($ inch-3) QyQ+SSVDX18xRzYiJCImci8iISImISIi Cost per unit volume of the bar ($ inch-3) QyQ+SSVDX18yRzYiJCIlNlshIiYhIiI= Labor cost per unit weld volume ($ inch-3) QyQ+SSVDX18zRzYiIiIiISIi

Volume of weld material (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVElaW5jaEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1JI21uR0YkNiRRIjNGJ0Y1RjUvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRidGNQ==) QyQ+SShWX193ZWxkRzYiKiZJJXhfXzFHRiUiIiNJJXhfXzJHRiUiIiIhIiI= Volume of bar (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVElaW5jaEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JC1JI21uR0YkNiRRIjNGJ0Y1RjUvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRidGNQ==) QyQ+SSdWX19iYXJHNiIqKEkleF9fM0dGJSIiIkkleF9fNEdGJUYoLCZJIkxHRiVGKEkleF9fMkdGJUYoRighIiI= Total material cost to be minimized. QyQ+SSJmRzYiZio2JkkleF9fMUdGJUkleF9fMkdGJUkleF9fM0dGJUkleF9fNEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYqJiwmSSVDX18xR0YlIiIiSSVDX18zR0YlRjNGM0koVl9fd2VsZEdGJUYzRjMqJkklQ19fMkdGJUYzSSdWX19iYXJHRiVGM0YzRiVGJUYlISIi

The shear stress at the beam support location cannot exceed the maximum allowable for the material QyQ+SSVjb24xRzYiLUkjPj1HJSpwcm90ZWN0ZWRHNiQsJkkrJnRhdTtfX21heEdGJSIiIi1JJHRhdUdGJTYmSSV4X18xR0YlSSV4X18yR0YlSSV4X18zR0YlSSV4X180R0YlISIiIiIhRjQ= The normal bending stress at the beam support location cannot exceed the maximum yield strength for the material QyQ+SSVjb24yRzYiLUkjPj1HJSpwcm90ZWN0ZWRHNiQsJkktJnNpZ21hO19fbWF4R0YlIiIiLUkmc2lnbWFHRiU2JkkleF9fMUdGJUkleF9fMkdGJUkleF9fM0dGJUkleF9fNEdGJSEiIiIiIUY0 The member thickness is greater than the weld thickness QyQ+SSVjb24zRzYiLUkjPj1HJSpwcm90ZWN0ZWRHNiQsJkkleF9fNEdGJSIiIkkleF9fMUdGJSEiIiIiIUYu QyQ+SSVjb240RzYiLUkjPD1HJSpwcm90ZWN0ZWRHNiQsKComSSVDX18xR0YlIiIiSSV4X18xR0YlIiIjRi0qKkklQ19fMkdGJUYtSSV4X18zR0YlRi1JJXhfXzRHRiVGLSwmSSJMR0YlRi1JJXhfXzJHRiVGLUYtRi0hIiZGLSIiISEiIg== The weld thickness must be larger than a defined minimum QyQ+SSVjb241RzYiLUkjPj1HJSpwcm90ZWN0ZWRHNiQsJkkleF9fMUdGJSIiIiQhJEQiISIkRiwiIiEhIiI= The deflection cannot exceed the maximum deflection QyQ+SSVjb242RzYiLUkjPj1HJSpwcm90ZWN0ZWRHNiQsJkktJmRlbHRhO19fbWF4R0YlIiIiLUkmZGVsdGFHRiU2JkkleF9fMUdGJUkleF9fMkdGJUkleF9fM0dGJUkleF9fNEdGJSEiIiIiIUY0 The buckling load is greater than the applied load QyQ+SSVjb243RzYiLUkjPj1HJSpwcm90ZWN0ZWRHNiQsJi1JI1BjR0YlNiZJJXhfXzFHRiVJJXhfXzJHRiVJJXhfXzNHRiVJJXhfXzRHRiUiIiJJIlBHRiUhIiIiIiFGNA== Size constraints QyQ+SSVjb244RzYiNiYtSSM+PUclKnByb3RlY3RlZEc2JEkleF9fMUdGJSQiIiIhIiIxSSV4X180R0YlJCIjP0YuLUYoNiRJJXhfXzJHRiVGLDFJJXhfXzNHRiUiIzVGLg== Collect all the constraints QyQ+SSVjb25zRzYiPCpJJWNvbjFHRiVJJWNvbjJHRiVJJWNvbjNHRiVJJWNvbjRHRiVJJWNvbjVHRiVJJWNvbjZHRiVJJWNvbjdHRiVJJWNvbjhHRiUhIiI=

Weld stress QyQ+SSR0YXVHNiJmKjYmSSV4X18xR0YlSSV4X18yR0YlSSV4X18zR0YlSSV4X180R0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUtSSVzcXJ0R0YlNiMsKCokSSkmdGF1O19fZEdGJSIiIyIiIioqRjRGNkkqJnRhdTtfX2RkR0YlRjY5JUY2SSJSR0YlISIiRjYqJEY4RjVGNkYlRiVGJUY7 Primary stress acting over the weld throat QyQ+SSkmdGF1O19fZEc2IioqSSJQR0YlIiIiLUklc3FydEdGJTYjIiIjISIiSSV4X18xR0YlRi1JJXhfXzJHRiVGLUYt Secondary torsional stress. QyQ+SSomdGF1O19fZGRHNiIqKEkiTUdGJSIiIkkiUkdGJUYoSSJKR0YlISIiRis= Moment of P about center of gravity of weld setup QyQ+SSJNRzYiKiZJIlBHRiUiIiIsJkkiTEdGJUYoSSV4X18yR0YlI0YoIiIjRighIiI= QyQ+SSJSRzYiLUklc3FydEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjLCYqJEkleF9fMkdGJSIiIyMiIiIiIiUqJC1JIipHRik2JCwmSSV4X18xR0YlRjFJJXhfXzNHRiVGMSNGMUYvRi9GMSEiIg== Polar moment of inertia of weld QyQ+SSJKRzYiLCQqKkkleF9fMUdGJSIiIkkleF9fMkdGJUYpLUklc3FydEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjIiIjRiksJiokRipGMSNGKSIjNyokLUkiKkdGLjYkLCZGKEYpSSV4X18zR0YlRikjRilGMUYxRilGKUYxISIi Bar bending stress QyQ+SSZzaWdtYUc2ImYqNiZJJXhfXzFHRiVJJXhfXzJHRiVJJXhfXzNHRiVJJXhfXzRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwkKipJIlBHRiUiIiJJIkxHRiVGMjknISIiOSYhIiMiIidGJUYlRiVGNQ== Bar Deflection. To calculate the deflection, assume the bar to be a cantilever of length L QyQ+SSZkZWx0YUc2ImYqNiZJJXhfXzFHRiVJJXhfXzJHRiVJJXhfXzNHRiVJJXhfXzRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwkKixJIlBHRiUiIiJJIkxHRiUiIiRJIkVHRiUhIiI5J0Y2OSYhIiMiIiVGJUYlRiVGNg== For narrow rectangular bars, the bar buckling load is approximated by (Timoshenko, S., and J. Gere,Theory of Elastic Stability,McGraw-Hill, New York, 1961, p. 257) QyQ+SSNQY0c2ImYqNiZJJXhfXzFHRiVJJXhfXzJHRiVJJXhfXzNHRiVJJXhfXzRHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSosJCIlOFMhIiQiIiJJIkVHRiVGMy1JJXNxcnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IywkKiY5JiIiIzknIiInI0YzIiNPRjNJIkxHRiUhIiMsJkYzRjMqKEY9RjNGQyEiIi1GNjYjLCQqJkY0RjNJIkdHRiVGRyNGMyIiJUYzI0ZHRj5GM0YlRiVGJUZH

QyQ+SSdib3VuZHNHNiI2Ji9JJXhfXzFHRiU7IiIhIiM1L0kleF9fMkdGJUYpL0kleF9fM0dGJUYpL0kleF9fNEdGJUYpISIi Hence the minimum cost and optimized dimensions are Pkkkc29sRzYiLV9JLU9wdGltaXphdGlvbkdGJEkpTWluaW1pemVHRiQ2JS1JImZHRiQ2JkkleF9fMUdGJEkleF9fMkdGJEkleF9fM0dGJEkleF9fNEdGJEklY29uc0dGJEknYm91bmRzR0Yk

NyQkIjNKbUBhM0ImW3MiISM8NyYvSSV4X18xRzYiXTNGQ0E1NTU5NEQ1MTBBNzEvSSV4X18yR0YpXTQwMEJDMzhGOEZDNkZCNDgvSSV4X18zR0YpXTQwMjIxMkMwNUU4NTVGMkYvSSV4X180R0YpXTNGQ0E1NTU5NEQ1MTBBNjg=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=