yIpyIr<K_Tn^T^;N:L`^C:yIu@K\\PqkhpvF:CZ:N;xYqo[;_fiOf_CS;P:FZyYUCND<KB`KC`kMXkEXLSTlITLStLMTLMTLQtmTPmTP]x^b;Gb;GBLN\\LN\\::::FZOF]S>^V>^`>]Rn^pn^Zn^p^bpV_en`>_b>OboNb>_b>_B:::::ry;pB\\j:@N<VZ;N>?R>=r:]R:yIk<d:NZ=FZ;>:<::?R:AB;Eb;=R:=R:J:B::=b:AB;EJBN:?B;CR;Ar:?B;Er:ER:<j:F\\=F^kN\\>FbKGfMFhKP^lfZ;HnLGp<_\\KY^jIr\\Oh[Ql\\X`OFx<p\\=Wd^^`@f`KFZ:NZ;VZ<VZ@fZ>NZ=Z:R:]b:=c>ARF=TN=E;]UZ]fBHKrObLgZ[Hp]^\\KIvkY`nvyTE=AR:DjBHjB<jYfxOP[JhbDojb`dTGlJo][dDeR:OY?QCooBZoU[CDooBZ:J]<TP\\TdxTbdP;dv<entUJJm<::hTbdP;dw<enTUJJkQK_Sw:]d@;fg=gNUWJKw<OU?OCooBZg?:::Z^pt?HgJY\\cP]BPeSp[?og^OgGNdTIlbXoKO]<pcEPoON_OAbNqdP^tdfdbh`;fg<gnTWjJo\\NQ?:::::::WEbcxNSWG=fU;odlt@=ph\\tTLkoqjZTOoqj\\do;w\\NO_OK<hOb`TeDtt@jp:gjTPKopJZhOb`dZ`t?fpDfldg;:::R=EdPJOj:p@:::::::::::ZQ?ooFZ_Ob\\`ddVZNQ__Fcbp[b^rjf\\JHufnd>^dG@b>agbhi>Oge^gQ?^h^t@OnWHffX[opZ\\hk[_Oei;??Z^Wg=nb\\h`NVgG>fY?oo^\\eW^Rg_]@ddW`ei[\\OlQYwGnfwGff`pUobZ`taotTNrUqbjptaot@?pPHtfh`Shx@Hp?_peg[`ogZyh?n\\MaooFmu`jqgZP:@RhMkgtNRUwltx=<qbpPgHvfXSVqkZQnTip@TPi<xuRoSGXEYdmVBOsr;hYUYQ]R`cujqRoIWO_U<UDE]rLof[sBXeVH[h]cWnSW]GuWeeBigXkG;uVBUgMAwCADCIEMItOaTWKXokCmYgooBmaxhiDOIDVcWmewTUjlTLsYLBhO]<E_uc]BQKIDgWe=EeQHqWBr?gpeg[awE[uH?v\\OeooBmuGjWi<UsdktT_swABhKcg::ICVWFtoRwIFVIXqAchEDUWY>sXFiILWY[SeuIBVIpM\\uZxtfdM`qS[QQEESgQuCmt_mwM\\uNplO]?`JqUk?aPeunSyLr:GtfiCVqcZb@:Z=ZW`feQ`q=UGSQuFiu:k?==W:eu^S?RgGffcfdOGCEwcGb;UVRSWmsh=;ao;AChKkXAPPevMmOB`mb=wbNa=IeU@qDNv\\A_phOlvlQReLnNLwbpPgRasXNceraRhotLkVEwefeU`AwV?V@sHQuR;griktT_;fo^;Ra=EeU@b[awGh=OMaHUO\\S_En?aPdenBenkTt\\doF]L\\XVZDMFLOSDlH=S]EPRQK>YVkDmJ]k@uR_]W[TuKLPUIllHJkTu@drfAOW\\ReILkTuBTPRUWcPVpLE[OmhtKHODhOaRScxjqD?qdP_e_MTfexd_glYClQxgywDaUMMTketO;XtsE_YUmEXPUtkWf^OdkSwoUCqcWgWDGETQAhQ_x?gclitGUbkMBS]YdSxhyUh_uNOT\\sG>?fPqSZ`VPqslLTUqsjlWShxJhVNMTUuTjiM=qO`XRUdoPhTVqk[IlGALhEp?mPqAShilSYuVqQopRDXOE\\xfpjDaVWYLGtlNLWGulK]u]<qaQqWHOuhwOEnoplLPuuIJVIPd]VeQVE`WhuJjUuU<UUMU_]kYHqNUOkEkSelM\\OXEp\\UKcMSlQULdWmYLthsUqogeLupWT@PN@tplogLspuVGyif?kcpwGH]sV`PNan`vKYnVGfTN_p`c`hmr>xVxvCQnqOl;q[hphPynhIinO`UadWGsfxadwgy>yNnseQho_say[hOusIfoxugGkenrhfxmN_sHq`@ccH`Kv\\gNpy`eJnt_aeFo\\hqpyeNYIsUDSUHKsSXIiVuxtsE@Mu_oRXkV?MxmCrpKyDqvMsR@ogVigKMwSCCEIW?aVdYhuyC>Wi<xpedQjyNupKatQRuxRPNWqKnEy>twalLAyQrPmRQnUYq[dujtXY@JhqLEpwhujnYRVIVV]\\hAwq_cwvr>YaFHdgguJqwRXa>Xaf`lpxuWI^XIaHAxHHxONtqgrqose_q?ywlV__xu]^qmWifpm]Q^tha\\YiahaVWfcP`LYelOql>q\\Od]G_QPghggQoZhA]o@phqa?^nppuZyhFge:qwyN\\LYei?hunnh>vqw]Kfbpxx=Oq\\otAGhDh_uPqWVtIFhAHhD<:::::::::BoiTc_UhCc_SSLuxyPO`hygdsGIRkmRsIs?aPrQLEhwhujn[EibqprhocBPqmodOA`iGoFajV`nLpvUOqshyFIaLVkfwpqWt`VpdnwRXvtGdoWbu>pP@a?iy?p\\bQrk?io`brXklWv`h_MGjGyh^XxoW>Ex@uvDitVsUDMvQcUkwHWIg:qC]cwP=GyIFkwRrwwCyChAHhEh?uXq:::j@]nl@l\\PuuTJeUPcpK^LSUqU^N^?H^NijPfqBGpm^aS_gSo\\QqnRGmFGefS?OUSKVdgrBOCWoS>WbZSgR]GpSg\\GtBuB\\Oh\\qxDSUfeff?ggCHUgeOmXPQcRgwFeBnKgOCXUgBDmCSqfxebhcrD;g]AVGchOOV[;bnKhn?H=?DeOF>_toUu^eFpOgTEHRWUxqtgAcV]cgGY_]ScKuVSiuWCPoUeogFMHYWVs=iewV<mB`qfTGSDwvWEsIquUEX^cTKyDAMDOme`GWUOC[_STGfdosV]Bn?VPcrUEsNUUaUh>SFEGhNIgCQxxqXtqUEKwegyyNeMimUv`^>x>Pmbikl>yUQuoGbaWyXO\\nVaUGy]G_bhyL?_XpuygyWOrWg`ENe[ombhalNov?mh`cdqgTGuRiwGyx_vag?i]VlAP\\@aoHikpwhth_uxd]NoUYx>WenhqUIi]AyqpnY?txvappoaHaKGdaIlqFvphmAYuMxkvV_Y>nhiqNxemWhOqhdxcTP^VIfcNd]ansWnHOxfi\\RHuFXqLxcWAsaQqJApFAwXYnnpjhNdKhcuqpTgnbHsxnnTgjsG`@Wvey`gwtliouP`wAq@aeHXhMPvD^hEy[@Fe<P`c_jaipWx]OaaTP]QIfVQdepjoVtwI]HHpsol@iaoxdC`mnXkiwkSnspWr?WwoXlUhsNXuTWwsFf?vmXgjKocnIoTo_iNlTfw^QtF@hDXstAyVPix`o]?]@?udq_YWhowitI[fhoDijm?qKpd\\xklgxK^eMWldQsMWho_sSA]r^omf`J>xlOxYocAPcDHl;V_F?trOfHhpI_^Gyo?xt>ftmVv>Ymm^l^QnwYcMX`dYw<WyMNct@pg?f?q\\hhgcNaZOjyPd>ao^hyGwq<Nmh^hZgcsoZhPfLqe[neR?iO`_OQy?pi<parX\\IPkNFeUpvTFqBNm[Ajxvq[gbXxq:WokQ\\ipj\\FqibgawO?CAmW_ODY]iDiUH_cDiyVOiOWI_ODrWvYat>UCKYsWCboaDdQCmUVEghM?WgKftySJETaWbh[fbki_EdVeC>SHscfiAWbKEh;iGQCI]dd?UmwDSIGlCTx[SY[UEEcayoOEXQtMNLre=RKuvL]vOxv:xoiLM[xT@PNEdqY=KcLxLXo:ymrPNGmU[yT=o_FX_IIZ?ome@r<H`w?cjiZU@ddg\\x@gc^e;pfLovgwphWuq`ukWyRXfCfcKQ_mpi_i`gOben[^fl@HaVQdCi^ZA\\DGen`qDOgvn_rNadhiEGce_l[GyqnyNAeZ@q;oql`hmfqGyr@qm?ngGov?q\\Sa_b`x?Gim`aTpcChtO^dd>_oPm=HdWOb_`nopxV`lMPkswktXgr@wQogqwfbYkZgo?iqdfcEQn_f_Q@ddW\\\\N_TWcbok\\AdNgkMvvFOcVYoEX_b`dNppm@ddW_b`dnplm@DRNQUGGbboW[Ed?aGN::RDeBoeV\\KSgMh]mVOoBmCUkUceSDSOxrQFbMiF_dpCxlAS\\OTS[VX]VUcUPCUPCTPcuQ?SGQUnSeL?uPaREWS\\?uDMFSSDg]g=CvJ?gDgxDEDp?c^McP]bbGH[KEdMW__gskfeaRcKEtgTPuXM[sfIu;MsceYbAtD_FQOf_uUswFoaf\\cyichdEXg_erSFfSTt]dUSUnGyouHAkghcETIdZYx\\GewSiwOXFeG[wT@eBPqWAAXuwh\\UeyWiCQX^qtdccrehYIWBgt=cF^YftWdaAxUgslYUCGDwQxBQc\\GiWwcJ]tXeUq?hUoFYWdOGVnPPHEtLMPU`NOeVlIltQlpUybuvtyqgEkP\\mgyndPuUpvRuWwAQuiO<yQuqRc`LAtwiiNePwfiv;]n\\exkasRmY=QXyMXXEkS`MapN_qNU]YEElwLT`UqeHohXtS=OadXEuTNDTPmRvEL`Ml_louhKTpYUhOhxWyMtYEsbxiqPgevrxqZbwrMWtOFkhpvLisBhrXWmF`nlPc`pf]VqkW`SicIIlw@arhqCnaN>`bYg]VhSIq]ggcxonyv^qfjgh[PfuX`qfuPvvl_toHbrHpaOiniyQi^`q`S`dToq`FoU`d\\Yu?ytdI[rNqd@fRousN^TfklgZ\\`x_Qitwv@?uGP_\\WkVNfLarnFv=PZ^XlQvc`fe``ed`_ZXoBAoAwZXGfAolbvfVN_dfg<>seirKvj\\vv`>mxxlTHnKoeV^y;YuihpH@vsPlgHhdHn`Nfo^e\\OhWHpNAlqxnOI^^fvlOe]WmT^vUIrHvY]WAySiqihceyIgaGeViFp?yrWFEsulMCDItgSRXyWlyQ\\Xpp<YMLTU\\tH`jNHoShMwxwZXTMpWEPNemLyaxj\\VdIn]qv_yQPLqThSTXvuYKchNhuuK]MWYOTDnyWc[Pu\\vmxNhspBiDmSf?OU[oFhUd>eHHeDWOsD]EOWGTEvAEh]cwoIRJuviGRh;wD[uUes]?TygglEIyuWcqVMsfuYx=Yu>iDlYYOkvy;b@Gx=iYlwu[ssvSVRyx[GVX_upWbW?IoScHOEkQwNGWHauFwdTcVmoVeETTcdUAw]uSnau<YXksRPSI]iWBcubAsneh?kSkGItsI\\]uYWyKITaWRD]IdofPgIfkUSAfteTHwIKcTlaXG?ThYdtQChkiHefleuF_Co;dVCyOMsVIbEKe>STmiWKSHDwC[IX]Igr=dOiFk_GFCYQqrEGV;Ogn?IdOUBmV_Osqss<edgogbeh;_WkSb^=yZiC>ChlkWk[EjUEIex<srYESw;dbixgcbOSE_QEE]d<sFFAUr;YlQe`OgsOV>WwTOYZIsx]UAITvCUREXN;F`keFKEx?YIyb\\=SKwuoKf<ifrKXvcTAyqNEkCAX?MX;@OYMtcHsKyK_`QjfhX_v<vaoA^EolwvZEGxyoBOvrAV:KCimbEQWG]dpQEI[TCkihcER?CQyVn[frkGrQHAiT?;tbuDNORckCewB;ysOyRFeFH;UlQevyDOEbMUcSEt<cfPgirKfbue:OCb[Tf=HekU>;d>=VJKI?KcLEr;;GN?r>evgkdh_SQmhIwF@]BJ=GD_GNKSI?R[MBJ;GwOB:cf<YBJ;W<;DbZQNbMQli_^mPfMGl<>dbVeUilnWtLffcGocGrjH_Z@dw@uOHgBib@Nx:wd;_lWV_:Ypo`cTYbUihIWd:aZ>Pm;Qvsx[bFwn_b@O_vXsnnpea_B>oG?xWNq<HdWobIGlN>_lhr:HqFHlNFxhFkNGdnGdTfjKp_C`eK_gFWsJop_FpeFk^cg]g=CvJAWEWSV?EGmTu]rrMF?wGCqW\\Ee>oR??GbiUs=hBMgQkGx[hWkf]EGceG@=wPEee?wIABMYwpuD]?SwOd[uDkUgloUeAIQMHWCYE?sDqtEOdBgv_kTowC]egUCYiMXLaITIT?SxOwRcKgSGY?udUcIqGYvEIliT;Uh?kWFsrA?cjOTiYBZMe^GyFMF?OS?iGkOFwAToai<[g\\Kya=Bo_TKMfDedborMsc:QgLUVN?YfGsvmgYMTmihMATcgBvQbWcvcMdLMVv?cekXucYlyh_]R]StOYUIExo]editBUWh_gceFhsHNiGMmG_GtHqtLSdcCixmR\\WIoIxSesG_TGQT`SeSCgvAsnQhuceVCCcaHrCd`WGD_WNQVXcg=uhVKe@QGcodrKFNYD;IhOCwd;F_AGDWDoxOjtp^@LgEWreKSxP=@[_OrBxj_pvc@vUomCO`_>]lQgZpdgqnjHiCNuvG`jq_KWcN^y;QuyAZOq\\bYoLOnPy[\\VqmHe\\Vsq`]O_ZmPcsfsOo_VvurasmivPHwliiYwc=a]kwqhfnqhydpcXwxgaetxY?t_ScTwIsWXYGXsSCpkCGOwKOgXmXAObCshakfseSlecrgBRCIvoi_=SsGIsYg_occWho_DXOwbGU`;TnawpsdVWD@[TtWYEUiwYXOmXNeG]yErcEhIxdIIo_YM?erMWgUf;CWSQVMwc[mGyeF\\qYReTr?tisY]IwxodvISqExntnqdwJInr]QC@ThTKIljohu?EOg<TneyJqLYexPIKrmvnaK]poLHVXDM[iPXTpB\\lTtxiLo`\\tdAWWTTg^`j`gUx_V_tT_rf``hw`kHuTgwTQr]islAah^v^hyrfxuVuuXaCOyhGsdoeoF`poxphlgWsMfsRosQ_luym@W`_YrIxgPV\\GhxEyrxImgggLhxvFem?hCqnSH`sX]DhlY?nm`ttXnKi\\IBqIf]UTGchcQTvpnUTRIXL[hmo<K;QsvMLiUNsdVGYv>dVoDllmvDaWP`KdttULWnmWyeMiTsFivWAqV@OO\\khIkbUWvDY]yLPTpK\\WeHWnYN>uWN\\qZlm;eLdaqRPWE]yEhlNLYmhrw`PrQVG\\RmPpFeOCqVjho?hP=mJpqPYul`dpGAq\\HsYMuRYrVMydHKDIpdmTvHya]x>YsN@NPIwh<onantTneEYuTWb<vaTxfusnPvvEsV<Qtxs_pvITtfHsAeLSLpKiyEQwCDqxYTLxSILmUHvqTPdMOQqNOLxqTqTxpYhWaUyp`YXiMxmktQjw]OnhRkISUdngto@XoJuruHtN`P_hTFmRKeQ_Px\\usR`qk@MI`v_XUQhLcTx<qxTmRoDm=]KSfhN`ptxnJYuLxjI_ukp^IhyBIwCiggQihgcs^_MA_sxhfgl[gnmx]mw]QvgmHsQagvi^EPcxwtA_tYF?QxOAeYoDQWD[UWuSexIuIidrQXHCtTSsrIh_atgkRh[yV_RsOFsKhnyfKSUhUSeuc>edxmvRwsrQe;[F]?gXMt_wBXuIPSX?exXeVLQTvyMgpt^hQxPRu`yMYKuMMmqt\\AqZQRGxVD\\OdITI]lGUqteu[XJ^eJCyoT=WHxqLxn;`dI`k]oouIdenlmiga?[gneENyRpmFGfUq[VVxtIhph[lVcFFdCn_RV`UGyevgbf`^Y^WQuYHqMgoFvrhV`WQtww_nfbfilGniEOwBHdeOudaeLqsHVoZpmQHtnQavXp^`toq^IVn_vn?idmWbnxY_edGI\\[trGb:KSvQF=yRh]t]AvwOcIAVNahv;dNUYvkt\\?TsCRyYG>secOf\\KE?WSuixpKF_?rBUbMKvikid_SNaVekeBKgxoDYHqCusYmW>\\sLhXgLLciv:qo?pwVqvdaYRqx\\YpLLY\\eJNLKTPN[uJTyP\\UspiNTHXjUJoPj?dKK@rATp[MsCiPcuMkyNDLtN]yJUURmtoaVDhvFXMdqSgmxEeKgMOjAyOTuLitc]SrIs;eTPHwQ]lbMYOXLgHWKIx]as\\HlNIOQPpHetwdS\\dQE`nYEkPtSlIXMXwMPOaPL_HkMMLUXU[iRZYoe`snpLGDlSuQZdsfxLR@TTPjMIOlPVdDkHDlNHxpToDMvNln=XU?dqFulOtSLDOLEMZ<snAkcLkhLkeLkgLKmdo<As\\@wOdrP`rFuPEL^CN\\>ifbPaW>[ApbTWe<CC?FGgT[KeWEFTKWe=W@QEdUff_WegwBSUgwgZocVOsDYUbWBaQFDEVVsdlOfpYfNsrO_skWBdid;cdO=YoQbbst<sbP]bb_wQ_dsEtQoR=gT\\chlQsj]fD]BX?YPsrVKTTeS^EbXiTFcDHgHe]Wkosr=DOeRAoRRMdccDlkTK?YQGgLkSYKv\\eVAOD]OioCUkcsvUcMegd?Teecl=f<QGQKuDOFysu\\cckmWx]vDWEhcBCAGA]CTWVqgT=aCWUckUhaUYoQg^OsgQs?EwKiR;AYZUcW_GDOdEkg^GynAGkihvWbH?YbCTtovFMXlEcNChpSdOCFW_VeCrncBx?GoaXjSWxUr<WEPEtIOWdaddMfPIh;QfwqwWgeQeWtkt^aMNPtdDNuDuDis>mMK<Yl`scENKXTcxoXeQpuoDinvhQ`DkVQn\\<VnmYAUX_LO@qUTXV\\YxgYRyLuZmtg\\mlTsDyjyXK@tWxMSgyrr`u`Dw?Tm\\hXRUs><PSqO=xurdM[\\k\\PpxenkPn@ellLYWPynaW?@o`AlMDQd\\tceusQT@tvsHsT@KqlMXisKlVrYuNXmOmvomQq`v`YTCUnxpTE]XXeyHqPyIXvUqdhtqXwQDuUHMUYm_XxkmRsYxSuKLqWxLspXumxP_ltlqYAllXEOs\\usEX\\qpLTo`pRWmWWevNuKpVsLpgtoaX`iVpiMh]rhrayaGhdshrtv^J_tH`jpolPicwobxQ^r?a`PqXvkkXk=qyyUEgyVqTj[xhMuAEDXcdfqUAYR\\uecUWecSMqrrAIpAitusKwxp]uNEbNQeCSUpMHqofdWT`mfs;yfwDMuXf[TgMbQmUCChqaD?aYRarF[tssIecxecGhCS`YHWmU[QihEwD_frOiCUgLswmufHwhYYun]Em=ugaxmuDcawGmBHeDGmtGsdOGuPQIMcV^ostmvtAxDQFYwcUysgMh_IrWCufosGGcuUytoFPsFmgDPuvTOthIDrSTwMfQmbeStTGHAaXGegeUtfuD<mhP_dUwvKwB@gxQAtoUhK]Rusy^QRGgyi_CxUy`=iKKeO;Cx]XwWS]MvKoSG?yX?sAoRSwfGICAobdosxuUiUWcwWyshHGrjOEqegR_FrWxYMxUwbsEy?_GHIdxsVhasper=Ydc;yxmwTcyk_tUiswikAIWA@kiXX`MvmMtMTLRenTQmpTYEIyHMOYYVH\\mmymGYlYisdIpZuYQ\\k?UrTdqKhp?mvnev\\mSLaTeQRs\\W[dnR]pomMFluBixvEpt`tsLXOQwFdwWQksRliDlIxU;u^OGXkYaMcJQTUusLAFkqgW=igsdyYIqIi]kd\\gxIIc<CVuUemiDAAGQKrc=cwUcTeFVOi]sT>SWiyHlUtRSvXqtXYVDYGf]y`UdHMcBeUmSSYQD`McGQi@yS?MFusuPYclETGMRcWvK_SMCctgeY]dochD]wemIAMunQdrkuVYfvwsy;b;adycwmCFSeXv[hbch`kEsUxYMSUkcksuTAdGOH>eVgGtniCYofyChTkye[Hw_UYYR`MiSAu`yrTQfDCWQ_WgUcEQTleVL;UtMvfEeUWtqGWdsFxqSiyClSduGHISfryfxmTGsvFKxgeDl=ECohtOt^wepkEGouqCc_eYM_x=iRjuv<iVEsYYeWDCgusS^qCL?Hqurt]vnCWrWuW_BqstWIskESlwbUwdL_xAAdnouYmwH_gx;eUisOic>eXVixcCRSWyk;VliUS?gEIfJqrL[DOgf>IyJkRVWuoiscyfoSuy;rAEBKItYkyVsVxEx^mrCafHOgmeFOaXK_Up?hsOS\\cySMTrEXsIho_IkQyGCijuVFWtZiePiiRmw_whpWTFchosTNeVksfR_erOxhwc[kTVoiiuCxExSkinqTbWUMOe[CCtYghUcIME@gy^OdPEs[GCWqb^iiRmwbqx>]uUEf_qcSEwPQfcQcNGiDEVVAFkmWHIU<icxUV<ODXeSw=WPIeUkWM?UGuBFeyBcTeUxKcD_sTN_dn]i\\eTs[ffQVASgcQGAssLwRpdqr=Y`urp=mnxT=`oGpvwhOCMx^PU?EopQlpirytXOXQL<Uf\\qKLpqXT]yROakiUrePKyDR_yrE`mdUx\\tJ=qrXmVRQkpmXXMKneYEIWp<Ub]lptyHPok\\mYataTphlm_=qDeLNLkQlxaAsH`SsEPcMT_uNIMSKySCpUR`OUmy>px_HSsqjAHS;PmLqx^pq\\EQspv@QtB=NC@BcbD_RZ=\\;>_DWbJ_l:`jA@cLF]\\^`JFsL>lCI]J?lCQZ=_^?_`K_fJGoPfbLVe=hrP^rBOnBAmPHn\\__<G^KqlZAwnO_SF]cGgN^^DH\\\\`pen]>PaOh\\kXe_gkDHuKWe\\wpJIpJqdKHeQwj\\>_AXtNikF>oAg<ut=;fuScO?f?_FQEhVsuKAsNOc>Qg\\;D_wD?GUhGd?;ScgeHqFW;XMgtcAv\\EFX?wPqTOCSdCdjgRQIXtEh_whfSgdiWtKhhsxI_wxweswVIETeQudESmsGrugLwG@cFr[fwqG^eiCeYV?YUqg=eYe[dQYwviRLiTn?FgUFNGdNAGkEUGKcC_hAaHgQWeySbGwXMwNWUg=cLswA[xomrpyewUwgAiykRlWyagW>OVCWwqgSDEcPiTm]rDeukyc;mTheGHQTQGx`ifBGgdaVGSbmQVEsXhMUGir[McBqe_EI]AYcai]KSYcf^qfNmeeCCqmwgixcWSUCeSoUgubHKWiggOghdgtESfL?Y_KsamfgGisuxhoUEuWM;yREfdOsc_Dkkyf]SAivDWyD]H<IWm?UOiUVyUaiBKCTecCvEHWKblQtnoi_=gEoED_E_wVdgCy?TsIXU_DhgbMCYTOVOmsoWuTcUFwVOCWIwta?vVuvvcYbWxWEcckso;vwGYbWBmyswewxyFwEsnYe@ISyIhusu_YcAGeOsVfmCKwscutBCwY_DrSci;hlIcH=Ij[wkGSVCFQgVM<wgMuRaTeaoDqXUuXqxukhtADncIrrYNhDpiYlCESmPqoqlW\\l]toRPTAxO^uoqyOD]uQdNwqkPMtcuNOYRHUsP\\YHaqmMtXxw]IxETSixkIuyDtVGds_`rcURi=O?anvlkwAQymxrxocxtODMfXVQXRiplRXrCUW`Px_YSDetrDqy=jrpo?ps^Yv?eyBimNetbummhQvdx_ik@eQoXoOpvjLlI=wfpw=eLvDm>mW@]UkmR`QuBhlw@uGIW``yGtM]dP]eWUTOsxVZQvrUyWYuCqTcLvaLsXuWYEW_umCyv`Qs[\\XwtmPlwBIMwQQsXYCptJlVcqTVdw?IMgiWaqYi]NqqT@QK=mwR]N`IPsqpqtlqHyxuwbymbIvXYKNtmoDkWEMsLOvdsbpoDETmuS@XV@tyEypiXrciVI`vghKo`oKpT>PLTQso@SGMwD@q_HkM]lLMUCIt^uS@It^lQqaLXAYuYvu=QDiNUikxPqLeLKdRjaPv]yeDOtxQgHmAYjfpqALXw@pqmYGiqstrCprbdLTTyYpYPqug`uAxpNEQKDuvTmIaLIhVxdphTqyXVganQmnLYrF=vOYnoPXMiYRhrmuy]hKZ=YspVliYyerKtkHhVUhNhlwD=Mjuv=ETTmSnF]xnap^vWXgQVdxglVV]=Qow>qNYb[yfmV`m^^^PfrXtGI\\`h[PQ`LQyPX_vggCydOHbSygovbJYt_nhepwaPkinh_i[nHwDXnBqs[Yas_oxnrFxaGPa[WjkvmLIw?ix]iwjGph>uDQlP`nTpvMOvY?pNPv^Ytd`aVi]_gxyGlcyjyPxh_dHI_y^[SN]gHs\\QmwwZQ_\\mHcyNZ^wtiykOq]AqrYN_QpfVfdy?s\\Qso>emvplIop?f]ysvqk^>wKIvIyy:vf;yxrwasQppafWYp@Xod_pmarUQxjOg>AidxoJislhjgo^TAgMQxjgnBHwogrxwj]XlbaiYicyAZux]eGkrfttN]pqgPHw_fyFOpH_kbawuGlohdFpcvg]_Fwxqbx^iwwmV`oEPlpQah`bcHatv^AGsIpdlinsGcMng_qfNPvmhaIolYplthwSikiHs]axrfkKidWvcRPlqO^PPcaN_cg`BAx_oongyAv\\CIwqxbTGmd?uUijVnnbHuqXtFVtaPmeNubXoKOdihtQnrDnqChiSnwHxk;haO?o;yqF_mYOd_ogYFqKAyFfw?GxCgkUv\\cOjHoarn\\LaqMpfMIg^XtAO^gyphogVFmWYugam__dcuFifv[TNyWCloYHn_yVcQltyqAaS@Eu]Mu]IxwAuM\\l`inI@TeuYoQOfxt;xrrLUReMeQTfdtUXka@TYaKXuoyhoBxRQtoolxL@QeAO_pS;DoDYVoercqV<XqCXU<mU^QsgyTDdXAyvHPvPlskLnKqXhtSMXoODQvPVQ]TSImeAvMtV<qVVyiVQkeOmKFntNlKxnS^BWe>gYliX^?ec[ULkyG]TWqt^eiKuvNOSBKGiGcykH[UUrMi^_FsQhAofRsv_oc\\UWjAi?QIlCbW?Uy_WOEYNeV`igcctY]Do=EIECQkCnGubIGMutROhZOxOqCHMugOvrSxc]gIETiKWLoYSGiGoVRgsaOYEMsKGEYmVAmgeSRikdVyup_vY]tcWENodTeWVei?UHech`Gi@GGh_WuirIYcxMvniuasXPwToossUx[gEY`tw\\Tc<yTHycpwE=MqivMESQPTiyOjPTiyOtIriPmXXv^aq=@Qsuo\\xWhmyy`xKhyIyrx=ldlWnmu;yOwYoBypQAyy_nwviDxy:^l>VdYOkWFcx?__wokyelakopyenyLG_Nwl\\qjLweDH]e_yyGwSF_xya\\G_N;sD^MxM]yxSB_yI:yRfcbdQd^ScNsT^MsMiFpcucKxl[D_oiBChx?c>[vt]d_;YlWV`OBiGXOGYSKgFKglCwE_RNoBP;DoSB<CGBoeI?BfCVdOcECDrUDlmwK_hlQC_oRrCYAefLsG<MTj;ItoY[mhL]UVGWRcCOMWCctjMdDUBB[dVceKmfEmVBqTSui[aWT]rP]emee?_d\\aILXtBqp_Uun]n\\YUlmlndnTENgmnJHVc`nUQnZISF`M_eRDaKL]yEUyLiJtTUeuTldUfhRmxwaPJmxmi<tgaNnLyUIRMtweIndEQf@Y\\utx]WoeNFtTLxr<xShqodYTqdqEUui`tKw^Awd<P_QgnTVdh^bXWqe>tMajM_stht`vld_e]y^af\\cAoPQuLOo;IyMX]NgjO>]@g[vFd`XiSpwh^qNVn^Yd_Fiuina>vyAZZh`@_cj@iDVcO`h\\xcoI]nVtGG^NYmG_av?cLgd?IiOf\\oxZGYZnpmcFnVYfTgdZpddQmG?`Kg\\aPkeO`t@dq`b]`sShcaIrmQ_LgpdAe`ijNhvgodohbTPt?anZ_uXgc[QjmnlNgw=irvVl_iuPOvpynJgjfvbsh^dqiOYsi`x`^sQfySQvrxbUpy@XglhlCIaBWvIvoKFdmTa]XcuXWkdfgG`]YKitIaX\\gdS?ws=wSIc^SHEoxVOudYBoQfWEYHaDmYIPeGyouCcBvEhIGbryrEif^_u`yVVgCvEVgGDdmibmxPSfaWr]eV=_sfMrJstO]hFCFrgXU_eHCDxssfwrCqhjeVLGGVWuP]u^QVPgcXksD]ukmsFafvWbOWiTCFTEW\\Iysmw\\IfncY@Uel[Uy]XysVsGrcgBvITRqH_ebOMcvmsGWCQkGdwXCqxXWXNCWdcdQScyodVeIaaDAqvigUeirEOT@isJssgYS]mr@UfjYuLaYFWxLmfpwXMQgEut]?s[ESj[G]sDvkd_AtS_uN]dcGUUOWWgULUeg_hiaYXsbOkyf]gv_Vuqd[uHXyWb?pE`MNIl`MsqhvodXrxVf=XIuovunIyR?uVkmO]XoCDxhhPkdSMQmQtR_ULyIVDyY:@lEqX=qPLdNOdThtbwao[GfrfnRoyFHr>_sQWuGQwWqyIaZIQwjYxApbOAqDG_cHi]hhbyirQpcwncIaUy\\CvbEggo>tciu<py^Ntc?vtWxYhlkAi]_yRXy]WyvpxP@gryxGOcD?oaXbZIgrqw\\itDomxcfoyQKHwAxqmiGKsOkrIIW>eVpEeDyqFqm^AqMQw@lweMRKys:mXxxpjtq``ufDo`ULAUM@LyElP]qxMMKIYN=@s^QwSHv`QkDuuy=jJuVSHXHYLPynuyORauDdtCXN]@m@qmPxY:PuKAsqhysDo`dNXtNTqpodNedwxdLw<U_Em=YvlIXHIMHYPSqKVingeLYlNImwkIrKuoKhms\\Qapltg]shb[_ks_`gorvPjqHh]oZvY[hPcIggw>etN`?XgYWpAFsQHsGigaI]lofm>weiroYVmetcWTkyoubN?wb]ID_DYmrYIXlQe^MuCcxv[UWiVowyJGgAyI:MHngf[MIDkgi\\TNDPLaxjMoStSHQlDxNC<PJyWMaTsaTpmqlxQODtpENAusQEYVHUA]kHyVFAOe<xHIoQul=EkbDT`=ymyMl]YYxx=xY:TMilvGUYUTpPYT@lq@xoNXKfqrdpke\\xc@UUqSLIXLxs>itlILQLvopSeXnKESyXN`MybuYppQQMJsQqUlXdhutHRyUt^TNlIOoLUWhm>tMc=xoiv;lkCLtXyM^qQvhyYPXolUiEkqPVEDnspnU`N\\lKgyY:`UDdYCYSqMrc<yNaXxxvwxk_AOaEMh\\tsLlc]oKYuYmRqhwOMoolKAPnKTVTmMXxSQTqwuWGIpEIWpyXQuL=UvbTQCiNclOOloJupfTmIUlsTUa<MIeSWImO]n_pwQptAV`kWn[yvF`rPabdW_Mq`xAoRXr>x^Ap^tnpcQmNhbuOiuQ]jIo`hiEqhPQfaaDQUZOXxgbq?YY[cvqC^YTUOuOWesiFoai]as^_UcOetYxCwSQyvP[XRalM`uclrGenVpSfioWQTMlsyHnCUuUileqMOLSWdsMmKMhsrimrHPflUyhTCImliVQTVwptwAuhHL:ilOUy\\QntMn\\hVV`NvEmwprrAqyHpOiVnPSgAXsLMrUKO]KNQWtHpWXsJtx\\QqFloqhW\\`YTPj^hwCav\\Mykxn]xxapy[ipfdnNxM:DQrpYOyR^ALDDlXAoq\\XSXUqTxPPUaLmPHU>xvHdMylTSMXj<YV]TWEmgLOKeQgHttXR:AsgeX]mWOyOOqWPAPEXWWhrimrvYVZiPfIWWyMAysxavLLwD]j\\TPMQRIYsqqny=JNQRo`LoHrC=y:Hw]AwMEvLEO<isLevUHX>AyHMUoiXiLQQxU>@xNPo]qs=HNPEmXHuxqtY\\tXaRtHyPTOJAY@uUfIRbXsVIXa]SEaWNQOfysQ\\UuXL^IuRekddnO=VilwyxlRqPNpuFEYApVamNqlwyVpavpYFssG`_W\\oXhMp[OqsFoiVyi_vxH^uyw?gRNquWmCFUIqOiGKfyydSorBmYYkvD]YRqThcXSWusydFcrBmYYGFNIVsgiBihr?xgyCvGXuYHy[CNIvGCiLSVHygBKSuQHy]S_iWmmeZSVH]g^IfNKCNsuomfRIFOOSnMh]cgvwESOE=?Wh?WkeBmcto=snsD]ig;MtVuBNEFroseASE?TOGBKOS]Mf@wcJSV@]FN[vfeFVCdlsD>KCZCWGSTVAtNor>mScGVRMRewEu=dpOGeAtnqVMMbVEiOkVRchA_hdsGNeDbSFWOgBOUm_SeEHIoDdMu]?clciBMF[OcZseJ]tdKYI[bhwRCeRlosRCXPGSoOCyQXA?U=EYO_dbiVUGSGKU^CEgcx[cRtGd:OHa]d@?eoYBmmUJ;YE[SR?rZAwL]b?KgiKCXSSKUDemVJmcHAiKAdn_XUme?WTPgs^eRTMed[TZ?sbsDyKhWyF=Gtnir^aiCgtpEhRcTcauZ?WUKBfeuEWVcGFD_GksTqCu^KTPgtmdS]aLbILU<Yv\\YEeNpuxe]m\\EQZQVVauGhP`tOX`nVLOotWVtnfpp\\UOoei^NlbafohgXggEA[fFukvpeNxLqqfx_GQ_<ouKFeoOwlOwtAy]_]kWpXNoiisHadRWd>FqN^pvVnO_tdhcAo`UNopq\\MGh?CeuFHUVdYhxurUSFpiYI_UOOVkeIYUFkwsYicEMIdKYaWWoETKOxdSfMUGlQGfat\\CwbmV>gguocmccQmS;Ey@_eL_STawMCCqOyPYsLcIgaXmcbUSshaUj;UvuBqMdootPytJesl_GasfawR;uWPQg\\?TiqHXOgeEtHQYvmw=Oty;RZUTqCxrAfSMtqYU^_SdOioaBHSTSWv^OBQmh<UeH?w`_VVeUP]r@]XYyrNMHHEI[wxEew]Ys?KwkIeEmfYosGqxgQRpIYnoVR]iwaEa[gt_eomS=CwouxaIrIcyRWWyuc]aGqUeWOh_gVdye]EsYmRHWyGUdiQr>oFtQfwiVqKVMYGW[yeCCQIUDmycAw_YsAgR>Yv?sBkEI_QI_YHLsy]ughYiQcFxCEi[r`qbMUUmSWhMFO_wSItrECDIglGGh?gUGuRgTYWUNkRrGV@Ctrwr<;i^IhLUCViWlOg_MXtcUVwDKIW<Gd]msRAVIYD_qfW=iVWS?ceTkvbAvDotPQfTMGnciWAG<EtmarZkG_WCqaEogvcoDGmUX?itUWwuc=]e]Kil?EBgw>iWV_U^qXiWUNohmQgwsV<=TGCv^MuvoshUFsEwgSvBsdOYCjcXSaskGyssCXAymaB]GXpqvh]M=IvTQPUYxI=w]qWCqvvASimOcxq[trFXp=mNitYx\\mVituLl\\\\Q`hmoIqlXpr`q>gvpnxQIndgiOn[YNhI>asA`Oygdh`vFmIIwkwrMAhAgtCqirigAHsHgvDAadpaGGlu`kVfpKYvRxqYNflnggWtPpZUYu_g`cQlcpujguGhfQirZyrT@isyfxvaaXrCQsKOk@y_fahpwpffsc_lNxeKpsWHqTqlx>gLvtTxrT`aKIakycFpaXHd=Qw\\p^`OpxyqpaxKGpcPfMaeMY]?WqrFqwY_IHl`auavgONeK>Ecyfatmacnsrb[xrobmoeHqxeifd]Uggr_Cyomi;IXW_EuoBhcfb_US_eNciRoYauFgIeSQrLOgH]iukFiwvQaDHAUFIv?WufoRhiCBAwCcbfOiImXKsXOYWxovGaVMgXNetsAtC]eYKicmgc]E`Qx\\QsdIfg_sjeXVUY`SWqKYUahQmfGmGGmTAewdyEqsFdivFEv@_yLqiVefHQd>qw_AyWwIuCwqsSmuUxyfcEsjuIDIhQSdb]cTmYEYhvWeNcSnsR?yuNSReosGgraOT]mrPAWMexVCuH[u_gwTOiVuVneVsuiaKxmOFXIy]Sbb?cc?SqUR[ufWev>YDuKUxkdlgbBofrywJySkExrmRNOwvSSxqtveH@IdpYvMCcmIxlcYn]rlabHaT_kbcMiPuRMevlgSb?wNCGiWdWmGIqVQmRAmIEEcKowbYh[mtrax?_hsAirGI`QhEKd\\ay[qUxgSRQf`QekEwGwgQcXOScdQx`ctK=SQQtpYd;EvWUSgUYLuYMuEmIIwaH][EV=uvEeaOYu[uqiwqOHwsfUExNofKuTkEgTed\\otQcRmqF<QCNeykwsbyxfmbdqhdse]mYrqwAis\\IfakUhICDoySWgECUSUehcwocdmEhauHlOWoyI:MGAiupWW`gh>[IjKenqHeGuo[XrWVX]Ut]CGiiV]UVouayv]OsmqwhubbWhFwUK_V[Qv<uTtEcymCAecYYupeuceyDoFoyI:mWCQWaUtMuCwMvVIXnGdH_YS]rAYf?ufy]iuufDqwToH]_rZYEMoRUaF@UdhqDkMYUwsHYddcdN]Ij=ukasHawTqFoAe[ysSAvrkiyGYpUYakgxaGYcTfeCduh]YdN]y;OuMMbkuGNWGk=I]adxwrcMxoUhEibQ]sU=H^EwVMckygJcUHqebahs]VEWDHMdGmG_kYbQicMRGQHLegNOXDwSMabcmUjigx_veMTrGCy[D<WYGMI_[TncvY?eQer@mGHAYQ]tBcTcSyYID`IbW_SjUwEIh:=U?Ui^AX_OeJsgvovMMY\\uUdcCaef@[ICKYfOW_OUGWU<IgrOS[mghMDH_guciC[wLidCcduogn]eQcb@CWnMgU_xrITwASQmGSsXPOsQ?fQ?Rd?DPMULei:ESbySOats;dTwVeUte?BQsXIWcDCfk]dmMrCMH_gToMWVMExUBDAxwgWxos>OW=_XNMTyAtOYewOgIkG:OFoidd_sYCt=iGEwHI_hA_sZMXCYc?QD_QutEvA[c`OcW?U_eeGmGcWC\\wuMKhhoWF]DOGy`EBDQDHCgy?HsKwNGwqCIyAVMwwUKhfwDa;I\\gxicBOGs`suq[VTpvAqTy@m<XMvyTJ\\P<qttQLudY@YtQPvydVWHqlyY:`NDhr]XLmEMrLXxYvhtvi@pNYqNeKxMQKXTkEmnyKdePhXxuqJSHxQ`uD`lYXVpeMcLX<AomMLWdRmQn;qthXjdTXeLsv@UeuSMeOW@yFHoFaJt`KQLrpdl;ElBxMc`L[MTBQpbhtJeKFMVb@TT@yjLTm\\R>dOSdlRPklDnxEJ>ypJMKZtLIAtLqRMAt]`SbDsDlt?hKldMs@jG`P<ySTdM=Yt:EMSIYfhROPo^UNL]mdeLSPWm\\UXejgPv\\=QtTKDYs=LN[xPK\\qC`KWPs?`kkdR\\`N]lUb`xUhiWfmR_vgNgNIwH?avfjJGgP@abPiow^KWalObLIfUgkj^Zd@obgc_FepX^VIby^cdVs_O_H_ed>gmPa[asAoivO\\BonModMgmUwi`IcWh`VWfTwrNwwqpgEYtV>wkofWIWwdsesxWHs]Wk]wayI:Mv;Ytx_wy;BcAYoeIh[g]kci_ieCY_cFu=xoaIYoY@CGsQSCagMuv<QgMGUXMxG[xXaVU]x?UegWYU;eT=srGYsuY>YiIQPhQSgXtvqkwePRLOUaXcasDEnhiUR`nQTKLXXIpjKypIImSXLVQTPPqd\\qFMTh]Mjpl_iv;QoRpoGao?`lthwTAMa\\XCqUQPPqdQXano`nuhsZEuVaNvUrA@Rl<pIemBQT_xRTxjo`jsPM[EvEIkppTDesj=wNitDyJAEO_uol@YvarelWAMTuDSAaPGAppDw@QP`MUaaxslTxuo=UoGMmaTPSEsT\\t]IrKu\\`amU>rOY`mo_no`pnmHF_xpZeP_Win>HgZYsU`mkGgsG\\q^]nQojvl\\f_VOvjAw\\^jN?pP`]Rpx_aZlQgrP\\N`fbqux>ZdYephn<PomQ`VAYeSdEdsWe`Udo]GU=S@]TsWD]OfsIxrUWkgsn;yM[YuMhGghKuyGAs?OdsaBaAyZIXa]DcauIAvUYW`ycjgwUihmKsDIBasE`KGvQtagrA=iPAI?OTpkTPAhuUUciWmGB\\wuMOY[=tV?id[SgeBKov@CtIYCGyST[e^Wrl;ynoY_QSlSdw[XhAVVGUPsiLgFFQEtUXyMfv=sp_Vm_SWuTRWxy;RkuTPMt]yB]YWicGy[cG]TbcFc_GUqVRieLqfWgrqUrDOY]]B_yRgCCy=dQovreDoueX_YcmEG_TosT[QG`sT]mb]IikqDPEXlYCGcUAGXi_c\\obEmSjueDET\\_u?EXjswCIDrytAOVgiRyMxOMghgFs_YVCen[SjgHaoV?ErlACxKYGMybuD@QgrUylesKUxFOE[qDeEsKMH[UWkGin[VK]tpqsTQT]iDG]tWAybiceUfyGWkOEVEXGIDoWEqwVFcuYWIjcbsUW]IguUTWICx[b]wCtkYaYcuEICahsEVYkXWwt:EtoUxmyI:IxpkUjiwnMfGgio;Yy]TdugMmGcyvxKD_]iyCyNOYIMxV?IKohQcVcyB:cyMqX?wtJ;Yi]d\\Qe`SU]gdsuYNIGOOxFuxgWusGGswCxmVc]i_whGqHvocV_x_MgGkgHQvpAfkUsy;R`csPiVDsEQEuxoFEIfkqxZEwkIcnIVKqgViyGwDWmRJEcuexA=BNsDdaggew=qiMuf@wbOUiiccYAbWAuECeiSf`IC[CwaOIOISUqxj_tb_i=ohm_RL_YdCUUeSu_VVCYkgEOuWeiT_ED_sr@?XMISm_C?WskcBvyI:[UqmwESDdihC=XP_fwccxcT[UrFif@yCAMbyWiNYg\\=CpehjYvk?R?QW^=hdWGJiHmkcqWvDcbLiHEexAoc:aGE=IOmy;OeNUHHyGfuDYAhuYCYQeoCVG]uReROwIngdu=HsGXuUhrQg?abrETDyCWwehMdXgXV_t];fpGEv_VTaIKgeu=XocD<]uUkRkkuN_RGiwuEfYAVtsviKsiUW<EGmGwaOV:wBc[g\\]EvAcMYGUeTXcsFiWW?u`AeN_uwedIKe<eyLMSJcchURLECtOvTef;aXW=eDegm?whisFQvUQI\\ecJWFe;w^OI\\UWkAf[sBdwS`QX<mIowVqEx[ogI=CNAGI=i@cETEV@QdwKwiSR:kxUohyeV=YSDcgykWZcRisBDMGrMVVqVk]dIkd>UWgcv^YVBqEFifgQDj?c@owfMUX]RyYXlmu]KtkaxGeDr?TgIB]qTYMS\\YtkcdXyWGGI?IyIcXDEBmevbaF:_HhKHGAx`_Y@EcjSSWibjyRdgR__XAGDw_eYEe`EExCwMQg`wDKodBIG<gFCkIKOCxKHF?yp?SaMcVKTSwdREcAEW\\cuB[T_?iL;gDcyJYs>UC;oG=?DCOfVMb:ccZKSLEBJETLIBNcb\\=cnKG`eDbAVLUR=CG]]DNsG:GujOBZUGfceeCTnaU=WCbecg_WPmVQiVeiXa]tVQv;MsKErw;RokSwEdOaXOYeGQx^Wt\\ICnMvgIrKUFJetKsT<SF_Pox`NdlQ>HVT\\XdDkqiVOLlAtPlqUslpMttfdN;ilPHXODUOPlGTMSGnOOeFgit>hW^pjynLWptVoFpmOW^Q_`A`xoAb\\qmcflD^pEQ[RvxXAuUikUWlwi[tH_Ch]otNkDs_umWcmsiPWTx]eouXuuyWuCqSrWCCsOYWwgOcdgifG]uPsd;asbKYRaC_YE^]dVIY;kfnowr[VfeiIYU\\kw[WcQoTx]etQeGeIGWVmqFNaGAytdMv`YE<ohPCWfQrg?IxoFYmYoseuahCmf]Uyk;hbEimEg>cV\\MeKufktxe<mp<u^<uLQQM`lSQnWQodTT=hsw\\PRImgQuQARMUmKdob@X^IwolpCyv`ekkUu]EoolVTUs`qJPMpTYlkArOAUneOGXtClnp\\uZTuRmQ>YunHV=pUPDlphOtXVpIl@iwqhRZ<TjexRQnEiK@IoOatbhOVIx@IkQAnkaLXEwZhJSUSCLVHLwVqQ_XSmYlGhPiYOMmwDIKolSbeYKXwUuL`\\RNYl\\EJ^lTQEkalxfhMspTjTsXLNrtRglUbuvhEPNUw<DnWHKKAVdQKMISQQJ?MWtAxa]saaU>@Xe`WPPTCTsImNv@qJlOGEx_mklYVq]Re]u\\Qk>lwEekY<tolOkXRPymITLDXRdxjvhLA@MsAp_pQbdyjpvvYJqlML<r`<Kmmy;UUVanAdWxdksuJ`au?HyO\\vXYtZyTSLOQllOMYjpx^<Ql`po<r@pydmve`mrhN^eleEkwDSmAvlTWVQV=\\TyymrhYSUxHXv\\yLJPJVPM]hSi<lPAvkUk[eOx=OoxrkYY:Ly_`jYptRPlgDT[an]aTQ<oEauYDKtTNYLthaMKalHPsQHPiPk@DK_MooXvBdsUuLTtq;\\MPTtcmo\\MSalvkqx\\EqK<ulEsnDyGHU]Em`ljKiTUht`Aml`LgHx;uNHUR_hNFXMjiVdtp]lje]RVlOaqlRQpwPooDQkEXyMvutl[TJxiVDutlLlieo;XqEPJN\\y:dOVuwR^iRXghP\\Cwa;fyXatvP]QFq<IdNGZo?axgt@O[J_iLffC`nwH[o>Sqh_Ot]eFJMFHiwtUfH?WDkbX_FWGI`oxbyrLYfnAWKADHgDiOW;eugIc\\KU`MelMExavL_UXkcfuEF=ho<RalwEdtPpy:Tymqsotv<=S<MloUjciLhywTYU[eSQuqYLwPlLu@X>TWlqUXhKO@wm\\MhyrFqvWqqhQQVexv=QiTjv\\MsYN^DVx`oFyr=Xq``uj`lMYw>eLciNieSXLXLaUKhsEMsVXOxEpiXUYPl]IrcimRtpBESrUl?al^xMWlsi\\Rc\\UhqURUxsyqkmxuPPFlTMhXeYrOdp>]kchWLXWKhmrXSUaNYHNuDstalx`RoDk`IXaAR?TsImNLeSlexBTRY`rxYjcMkXunO=ViLWi@mCEY\\Mk=]j_YYLtYTqJQ\\kVdLsLvqHnuUMw=wD]k\\UplyK:@K[pLeEkKaJ]xjUXNjaVepx_ewi=RoTRcht:LqOxqWYjc=jcqPXQL]`oDLkOekTQV?HTq`oMtodDjL\\kldmeqS>@WFDpGYTTTMLqUQxLoYV?aO[yMZdLyMwIMk^USHUtGeXfDtLMSNtYTeJhN]O^a<Ntdpbx>o`xttnjrHctYnoq_Ma_\\Qlv?pIndG?oy@nlhlsPdOPkb_`EAa?Gi\\wah@asPnwN`rocIPw:^mYQqyNe=fk?yr:Nl@XdgHiJQm@?]^xuT?lgf^@yel_`hP`gFcEoxKqjSx_TAllhlLa]UI]b>xGwkdaeLO^v`v<ijQ>ysqkdHq[NdIWj]?oyAZa`sEPZyPwS^^sApXW_bi`efsK@nQPbJGdF>kJa^bFcO>^:fb:O\\:Gbfn\\S>kM@iNQhv>bdntbOocFqsna_^p^Ybn_s\\H[CGjHNar@pC`hXov>xhZNp?QjoH\\N@g?NhMXmTgdANtdaZvNsAPjrglD_v_f_gNahX^D_n@O_e>^ph]EIhAQ`bxrshalOy\\Nwa>rbNjQvcZ^lTWfrVjGg\\C>r]>mDyc`fbt?Zs>`OijbocX^f^Npb@\\nQx>VnOHcKoo<^pKq^d__BHqgnZ]`bx^iDXmiw\\KpvuhmX?kIpZg_uOGy_`_]^]QVdofso`nW@hVGehpgkVklCAuek=YqouOew@Qf^_E`_XpqUFYe?QHuqX]sGYEVMITFEcXmVAsfSUUWQicmTL]GQeGeETNYEkmTLeTX[vrQG?qt@UeBuYiMVV;slKbGQUgMulABMgcpwDPqREmh\\;YnGwSEdGgUmGU_UBN]gUQRocIEUFd]yUOyQKSJGX_Eh:cXcGRtGT^SUUEDroVbucgeHXQvp_FrMU\\gi@UicoXOMTB]WN_hdyXFoBougLcWBEsxuD<gW?mxe]eEOtTorI_RSMCEOElitAIDwOcP[CPMivCULADIedKaen_IKOI]gvD;c>]R][e_uu:QTPMt>uiiKW`?T=ihOue:MbKeejYFlOVMIdEsc[gerMitoBFMURoy\\oDO?IteGSAs^WUhgrgiEIKtVyvAogDOTg_uLQvCmgEcsY=TgaILesK]yxCvwivQkCbexAIhuisbavvOrJqV:uEAkVTIvGCiGKfyDpWhP<=sBDtYXSfiMxdsGLUvIO`uRdaU;lU;YUQxJqunGitFqkV_fc?g@fo?imv?kQq_cFiKndrPpuOL;X]QE][dTYvriy@mgE=Eqsu_[v<kdVwURKTWqrQoINOu]?IZuDFGIyMVLSScgiC]Wsiy=IdC;RrMBS_xY;ENcFFOGvOrJMWDEXRgtoGcZWvokBgyfDAFgEiucDYAxgmrXydnCFc_w^ST[iRg_u=CrMUEiav\\qI=;wogWL?GGitpEcQed?_d@gvNUdIKeOIG=aDWGIPcvrAVWwDCMi`GxEMYNQEKWYHGep=EqsFVgFQQXDmCWyeRabhaGkCbVoVkoCbitTWycUv<uSXIx;OH[oeaURNyI:cW;iECuWleCrEtTSfNyEMGTeKXrYTfMsg_VLkY:yTWyCWatA_dLYgMWVRotxAw]oS<_eFEGGSGX[H=qreev]uYiew?msy;rJufemfRwHUixW?yc]uoutAGf:oHxIe@qGw]uL;XtWFPLPFaSkPS[aThTmh]yoyoTaVv\\n\\YQlHtDUVX]PwDlj`v\\hVdAVmporiy>tPqQok]JXyqduYVHLDLy[DwGISy`XbLyYhkWYUodJODsAQxxynYXMMd]h?u[ollPwUgjbhod^`aHdo@_ZWvqI]GwcQ^\\tInXhnuYdC`s^^emOk]hvJgt@fyKWnWfrvXfO^vCFsuYnY?nCVoAgwX?f_x\\LHcPPde_^T@xAF]vNfLHw>O[PoveHc?y^Fi`rNfLHx=wnk?fLYyMFcxqtv@`<fpon_Cva<fhD_pNpinH]PIeDwkO@cfXn=PljQZYFh]g\\A`bDWhPHgaps>hnQ?eIAwe>dPpG;h;wit?HPWWWebjsUCIF\\]tJkVEUboesMCx:ssCEsr[TN?gkMDkyFMuFAKUlaHDEE>QSu=xxqDv;gTEFDOyl_tUCcbsi:_glUeE?glOSLYcL_EJ=WOktjSh@_vkwTAKbXEs`eesArCEsZ]TbOsigwL;XD=XkwGcKyTkBcEtDaxEshtODO?X]ky^Qw`MDwIc[ec^;RnMXC?YKMUkYC;YLrtOpPSQxQlPk?tKpdscDRwAUHyoAiR<`t^Akn`lYpyBLMZDsriKQLRbXSKPnd]V>TTOeJB]N@<J<\\P:<j<PjKyTZPsnLN[pR:dpcDKOaUY]rmdJmEm^LPd<JDdj:LK?<M<@[ZGuonZ>NaKfb<?h>Fl>?_JXtT^jK?nBHf:QmtPZw?ZW_cPPy@VZbnn<>fJIdvNg@OaVAijo^GHZLfkkf\\QI`aGhegwkYcMG[VIcPwnXFcfIw>P^LghaPZExx]hgPGe\\v_hYf`g\\s_mEwtaIidIijobkorUIm_xliYsjGx<Y_^nfVPvjxcKnfUY_gatgQ]sfh>Wm\\_nSYfqhb?Wmgvpphf?G\\pXth^wxWv_gqnHqTVv_gn<Ho@WcPGedp\\a^rMQgOY`BWtNnlGn\\ShpDF_@wkPfe?v\\hadfFtQfl=Oc`Y\\L?q?YhGF`aqxSnbS``HOkO@_cXd`FmhVuwanufgjG^h>ZIwx]^sCHcaxY;RMSG`OYUGi:GHYKC\\ex?sfKehlyFO_ry;bT=RTMbEOSZkrKCV\\WFaMW`cr][tB_Wx?WQGgnQHmEC@ixI]WIoWcGt\\EUBqhTeVMkY<ccvGG<eWkYwUOYEWcE;E`ed\\ICQmgfOXmIex]Rd]yLKhFwDsAvQcCiGFomGBSWXuejqylMgYKsDwrQ]UiusJSTXyGBgB^Oi@AUmmY=GGIwYj=wV;dbKy]CYAwWMUrpsuokfWCg<_iKMFVyeVMuVYW`uRhpj@<Q;xqVMw@EOkuU\\AOQMPoESk=v@mOcEy@hnrMnoYSSPQ^QJPyqI\\Uw`mY@mTuUIAnOEt:pqHDNBUX]MwVK:dukxVpekK`yxTRPaqxHvcaV:euELx=EtEauQEkNtjJ]nt<jpQM?iP]MTnQwHIkmEOEPsCuQ\\`X<EUtPj@D[RoooG^SQl?QfG_\\jwoLajbhbyXcZPe@wjiNhtqjC`oTNo_nrifkSN]nGh[>cpgnTHocvccn^H_llIgl^eMOrI?\\K_hHIaO?njWl@i`ji[H>adabnxmN>mD^mPq[gh[C_o]odCHg_y^oY^=?ec@Z_F___dHyfCyuqg^vihFXfhae_Ysbiho>_?qsIOuU`a?IwD?dhoqshqoVwvnyAq_CGwFxhpWvI`tUSLsE[sXUoEUIXqyslwY;YYfYbMoh<MtYeiECEygrUIxBgds]spod]_hqcTeYXteYHUFQsXqwYIifcwVx_EtGusKYjOg\\ux^uu\\gvnEGtEtksVOSrgUgkiTGUEr?wtOdtUXWcDGuHxkGuUwDOVMMHgsgLASPuT[ewxyVpMBa?gWeYgKf\\sxo_GqkWiUBgywJWwbaUGoIauCoctEOtD_vYCiUWVrIhSGgacsYAucubqIhIKE]wuS=tpavkIcrAD[yviWRgss\\myXMxnctd?ylUGyWgswSeUteGHXAWngysCWSgbvuIlQGaGuBEXteVdSsNwtRqSOUHcSxhUEuYCPWyjIr^st]scyYTVQSakgLetUSBMGxFisFeSMWTNaR>]bWeiUMRRiSwebPmtcCi]GrpCyGgsuGt?qB_CEtAyBYgvyTCUB]cdNSgp?xDsIk=YFqCLQX@UVmWT>gVWYgHAb\\kDGoHISgiqtViSOQguUExUgw?yWISegGgEYBXWoaRs]O_YPtmvvhuXQUGqn<iLHyjP`uviPUux^`L_PStPYRXr^uXLQuN`nKxoqdohUk]mWcUy`qmdLLREWGqJCtQgqQAyQ\\yXipxTlmMlknMvMQXyDpG`qWToXiVhUw>\\kgYmUIvOIQDMNq@YnmxM\\MMMXsYnFyUYiu@DxKMqPMmd=wQyPsiuFiVdhLOHQv`kjama`qFxNhodn_ke_]`PvVwveVsRFoIXgQqbTQlhh`^QcEhnnnpt`mINlsi]GYqhH`Gg^<PtXq^B_y@PxhWkYWmm>]Ye[IYDYvnYSPEweOuLCXlwWxYbr_T\\oCrlkHYS_qw@]V[YYOEmZYMGApsYuX@qrQP@iLOpvFuvrmUXpoXxR^YVtpscDOQAM`iwVTNdmknYNdEyGipAipvhn;AVvmmAQNXESpePhHoxaJEAMWELWxN]HtNhwStWWHslDyOXqMdJN`nllNoppWEqW\\QoissYpA<XKQUaIxjARidxsxWiaPWPnwhP^isthVuEVqIwIpwPxxl=xIUtRHykdwvQqVTVS`nMhsNuseIvfindAqeLVUymFDPSdol`TvasFyRgMW\\XVoioQPS?Isb`NQQqFlQCyV_HYExmGpJw@wAQQDXTMQl@IUwLq^pwDxteHny=jKPO;uOmhssXOELTkXURqrCppGqTg=Od`r>uTbmwi`qSmjZLlnLLBaNDLXC@ND<J:<J:@J:<JdLK:<JJ`J:<L?EKDDJNPN=@TFLr\\`J_<TfmMb@kr\\UOuT<`ldLOnlTNPoDTTatkZPpk<TadphIKkMmbloPamapOrDJqXTNpmVTX?mStYvg`VODUuEwZmkPqy\\aLuDyAeuq<tLpSqlKlxxaaLWPLbapqAPM`t]mXsXyw`sits?uqBlOBUYPimoXKe`N]Ml>QsEUTqiVdDyfHLXTt?qsPaqEioguL[hrj@Os`vEhwgiVULqJPU]\\spDSOhoFqJLmSOAWQiKqTPvqxnASkHr\\TN^\\oJmQk@Wsdxa<WNQO>]QLUMHHR:XKALNwuotXL_`QSLm:ekETJ]tRNqPP\\Lv=TcLKlDuMLOVMw@mm;MkBxLH<QwiRgTP=EovTJUMkPYNBAPadl;UoOMk:aPxDjEtjy<potK<DwX`No<l[hRQMk=`kc\\TdYVXLjrxTDDJVtM\\@OEapEyJdesa`tp`lhdOkekLmVwhvA]xD\\X:qO`PMtHndDqZ`XlEjdEqAxnQ\\UiusJ]ntAjntkJUTX\\WgIP`qrO\\SNdukxFiBGgc]KGGku<Mc@oCbahEyUVcgFqsU[ffEfCwbi=Wb_Y=SCDeivqY>iTlmu>YFNQgs?hBuG>edVCdtifFeeI;UEiDBcqwqrNUrMIW^QJtEyj\\^Uvd>g\\bAjTwbbPdwnbd`v<XoLHZnwrUPxGF`ae@QG^edV?b?sv`OGvWbpUhF[EsMRcAhuebAiv`EcKQfH?wTib`;WRwrA_U;UycaF;gVMeH=cgicBRohYCI;KsnISZobB_yR=EAMuwORkGId?BcgV=;iLOfmSc_ghN;Dt]GLOrWOSIqF_YxLkcg;scksOUsTcyHYIMaXMGEd[UEgHmshQ]uYIGyWRPMIHQheoBk=xWiSGsThwcf_Y\\aWrgSnUV_msOsTvSuk]UC_ULAi?qhxKtnyr`igROBmUSluHPCsrIV]mu>MRdOhpOxGeDEmyTMflgsOUYwasGGhPaDqODwuiggXYkE_ehmodc]YXMFymhQYfTCHQUcO_G_aGUSXSSGsMIHChouCbqydowcqseYCvQhsqwXKroic@mI`WeKiSSqb<MdGKYo]uy;B=OIYCxXgD?mCCWfywfIQeaYyGMgl]i_YBZqhjSisIi@_YdcXxuCeAsRgD_cWosVaYflIXTuR<WseoR^_yaqCykvD[DOsTXaWngwRUsn_hqmel_sjCUWEwaibCSWqsuDwYKyR=UrXOgiKbhUhGqgDshjaTe]rAyI:yS;qcnSUSiC[YH]kVkIeQkRgyerIwS[uwUbo]BegvCisXmgeGyOwTW;Xw_g\\]EVAwbcDIuEpuWeOIQeTVyuhGs\\IxGoWwQXgIGCgdpahAcYisEo_fbIGyKWq]yhIYhUVmMEVAgLGVK_iOMsy;bTwBMwgkoyk]ysUcDWBgCgY?hRcEi?UGSIKGXggvNIwWysSUeQuHceXOqTbKywgWRWujCgNYHwksIMRAqediHCgeyQUVQbOcFS]Y__tFocvqipMYkWiVweBiiSisCIHCAepUuYmFhOTXgDeqwrSsl]u<]w]OVY]dQqXXuS_IHCeFXMw@UWnsvKeHUuuFGvNcynaxy;bAex\\YeJEIj;IYudigYvMHsOWmyFy?vG=CDuh\\WeauFIWxYEhmuTlgyvaXZuvfWv>mRTaU=WE]aW\\IhPMVWwsMEYriw`igUeVP;I]gbiWEwCI_gdeoVNWv?=y@WwW?ScstrAScIUsgWv_VekWcEHeUhMac@AE]SDXaW@Ctt`O\\\\yRtpQpM]UXSDwJYOGPNElYdiTVxtrasclW[TYsIMAAkdERnyL^uo@iy_INOAVEdqaUSPXV`lQsMqUhwUlywXqNEscyL;\\XiXQupJXAxnASeUoKqMWYUPHo@yjP@Q_ivDUsnurO`SAyMGElMttPDYxHuSpKSdxhAyS=oSYmdILCTwl]NOHuuPvftXfauEXvKpmOEWgmWQeKEQq^mRmHXNTVyhPhDtMaK_yLGdJeYxrUp@qtOeXoEq`HQTxlFmqKYYTpPYhnYYm>PLcURSxwiXM]@yfyQPdPnQlLYoJQvYexXuNNmXhES<QlMPSAlLltTipnrTpkTt`xndirVQK\\HSG<RR=VDaUFppJ<NLdr><J?<P:DL;aJJ<J:<Z?^mnpnJQ\\CY_DXl?IpUqnZO_LhghXbOVeoIcBapZFn:NuBwblwcUy]lvj[h[bpvbq^UPlGYt:il`W_v>bRxcLOoRfcDO`Lyj:V_wx\\=He`He;wfc^_\\>jL>oL`p_YmfglSvpSo[:Yo<ojAW]sofoIsrfrKw`Tgm@Qk_O[>Hhfiw]ffKOfXagtp`d^huVb@Qt:Of@HuTV^q@cLAnJPuJg\\@?tWQqI^nT@`KN_M>vp^^NOndNr^xtRHd;>]x^ZKg[>_\\BNeZVrRPuBOt:ikv>mcOlaVc]^\\;NwG^cJxrRH\\O?sT^b\\i\\=A^[fbJNnCXrK``OGZVOaMxnGHckgc=Xn\\QZrpp@ojpnm[`nc`bLQr=Ht?`^fNnOWxaVd`y`bP_:ieFW_KY\\XGjA@^\\VoL`[sV\\A@^:A[=AlLgaCOnD>^P>knno]Gdmg[e>MowO[sncXUusJKTDobXGv_YhuWD^_Xj?d^GQB]pjPT:eq;MWG\\on<PIttiDpRPXuUL@]LwARFDywYJbmPwXrO]t?LyAnuZhx:vq:WrJpuZLVEQ@`m@dxA<o?XRJxT?pJoeXItTJQnELjDTx>MTWIs?mV?mRS]o<hLCej^HK]<Vh`qCXnZIk]Lv@MMkAJ]\\YbLXxtshEvhPxEuXyYTi`Rm]vH]u`aPIaLCEPkUSMTTieopqVVhvLXVW\\QtiXZ]sOXsEUYhPleaoSYqrYWPdQPeyj]Ys]mUmtpLtoEQADknQOwmKOuUNyuUhOYEsnqLHUurYWwLyRpvYDYShvthKCAWkDUxPPyEmRhtW\\MkQu^DytImdhsgpr]ItqxP\\`MbIsEDWGlrKyKS\\xexL]qWVYTs`T_Mq\\qkApsX]kLepTEsLYObaXxyp\\IVmdtdUpsmppxY:Pv[\\qcUSDLXw\\mmUpXuOq\\owurIPVxpmHQWQQX_QwSytk@XUTwlpoDTphUtdqpphTr\\QKdysMPepOaevW\\RuLXEEsXYs]iofYW]PkU@om\\snxNLLjkPvFYqWhjWPsxQViTTXaqC<XZExy@ypIUjivpmqThsR<q_`jHlMvQrNHV`uJyxVkqTpLxlmpYQqTURqeKQPoKQoV@o<hLF]KUyqHxPldSU=UxLVhmYexWsdXcyt[pQNPmVPJrxY:\\YqywCQMpuYMTWauNe\\yHeks@Lc=lsXmI`JUmw^pVPao]xY:lkgmLriMWhTbYRduj`xU;iwgESHIm[xnjmTh`UhuqkYT_TjvLRPTo<INIhXkmXqQTQaoGmY[<RmdwpALUuR>=P]HxktpuqUkdpaEMs<y;Xsy=j<=UsylgmythUCLwSUmc=Sv<RQQMdTpwhq?<QEQuFuTDej<tKL<w><L:`J?<j>DJZ<J?]JL<R:<J:@Ld=s:POELn<IoZUrD]s:PlcPSlDtSQNJ=NS]uK=RjQJWXXPPSXHnUYLqmPV=J^hW@Eq[Dk<Ln<<J:<J:\\jJLTR<JO]LN<m:LK?DKDBJkHZOBL;B>CR[;B]?B[[HD]B?Or>;Db]BJAg<;R>KV=[DdORMMD:ib:ke[CBZcwBKDo=DK?RtUBEOU;Or?Qd<UBJAW;iB>Qw@[BkErdORf]G:gRbcI@;BQmc;sb[;HF=BVORB[g<;c?KFDGfbOBBb]gsvCiEuwm]IUMxPetLsThqVuATVWEqeXtGgnciLQSbMgk=G`qfT?g<eUHyt<owhogoYiLcWc[CQOdwqrhixW_Ugmco]RoEv?YRbgemwWLoGGaiWMEoMCoEIyGhuGyqCDUOd^ou`?Hh?sy;b\\uXIeX[MchUxGmr>SeoEIhuWecgtcbtes=ysfmyHYWWoXhOspUUk;eiCF]GeUqw>]S?GyuaDd]tvksYMcviDUyXumT__rLgt<icrKUxuVouHe=uD_ScQEQ]ReavcofUUFYufLwSRIDmIXfiGh?xWWWDGXNUTEcsbGuEUVqwXimWaqw^SgREW[ir;;YMuGYivWYtGGu]kVNaYHyXFkWhgWgmbpev@efAubH_vustPWbyYguMUoOG\\Ue`MVvYSPYv;?Ta?TaWtQIxUCgwaHqWUCutE_f>EXqWYyqcgEy@[TeAS[qt@IErqvb?ytaHdaTdMxpsU]qxWyI:QvhQtN=XLuEiOxEWug_cquSgQg`eDVSwOOcvWSlsYm[hu]xVOrBaVvquxigeOXkoyGcRyQTbcxh]ePCfceHWGGySFmSTMSCMSTP[i<AS[cGqYyGWiNigV[sncVDwyAcHtYuWyhjaW@UtC]UrWT?AIwSsr]SGuxBKC`wWmkg;QrBcVesY]KxWeUkgcdUWtSCxYh^qehqHhcGqWFW?yCurEOgugXaobEKrD[xrseO_iy?Iy=iVeE]adb?ws;yIUhUYYUcuH_TceuOCbGUXuUTnqTaOeVEtVqhjIihQClAhvicukhpGHuCCouYGkuR[TgyWuSubkGisHcwY_eElqfSYGqqgbMieqsH]dYcXQkRCUIjCIpqUysX?EIHqx\\gykUdMUW_eC<iYTWgaOWS]TFQt>Su\\CYUWTYcWcMghItnEdEQWbgG_sCswcOcyUOwiSYHpuOhWgDQjUQYXNyTUeHwueNiPWyUpMak>]RAmX]AoRHMjYWa\\NGIq]XlUEYSXrulOd`TitWCyW@ayITxMhJ?YsKxcHOaYgdFhphpk@X_BpfQOqNHn`OhEXnKggmvkkyxqWqNqvh`n\\Ptcgr]ox^Vfk_fGicu^p`Ak_HaVvsThuVWu<o[Nappxu`fcyHliOfqi[tQtLyy:fuxI`hFubxmM^hVwr=xnRXdSPsrieWiuLympOeVHgFw\\si]uNpMI[tNtCPpF_dLarVIeb`\\FGvvyaCiuyhhUUEeTOWv<;v_wcMSywOGoEuLoDoMSKeYG_gUmvqerU=dPOrqAcIgyw?EkWiOUFEsCXsrmOVxQroYuHiSqqDP;e_KCmAuFqb__UdIgTeGmMsMAr]_yWiuXoTqid>QV_AS;er[cXn]ytaeVOSwqh`=GDexKOTM_Su_XuisTcDtaD^wrYEEhwxuECD?dtQf\\WWFyDnuhvqx\\qwT[C_ESLehCKYfAh>WxFquXqfbigHcdc=dLCyVgua;ssaW_mihWX<Iwr;xd=ygivW_d`qgD]hD;U^gcmaGrWU]ASkaxhoeGAedmdV?IyArUmCqGVdIxJsyT;xj_ypQg_ccKQHcwVdss>=h?SuWirGqdSaXQeHPexvGyDQtEotUEwJAs[_eyWYqeygHOq\\snmo`huNyogqptentdsEauL<sgIw`YqyTNwEqMHmIyPvpxpQooyRdtsZhpvYQkutolrCPV]LRgioJASKDVOiLiLQ\\UxftWhXQEXTnyPp]n?aOGQQZ<sK<N:<S:<JKLT:<J:<Z<@b:FenVpRnjMPZoPa]Aboqq?@j<nbNfhrGpCAZZF[ZB:;:Z<L:<J?AJJLj:<lB<J^PJZDk:<KDTl:=NK@R[Dn<AK>QJ:<ZJ@^b^Z;`ZL>Z?OZ>@jK>b[``DFZN:<NL<J:MLBMk><JJ`J::`mGpYAywvTMdMWQlTIxMOEMxPooQwVYuCYw<`kbXxlAwHisgijEtwO=Salo_mppqXfeopPn\\LQWxPceuVqXemwIxY:xsVijxPVUHSwt_?>yPhnx`mPH_eYgFiwEWvpPtPxpgwdy>xlp^UV]PnvhQbnVlhH_xh^VPvigs]F[MIsCymyWhtHqp_r]>a?qhwpgEHoYOrDYew_rpyxjvgA@eyAZ:ywRWuUWuaX]dGktpvSYeRAeqWahpatxtOoex_fYi\\rnxWWlkgaQicbhrEQlfOxqphGiggng]owLolaPvjiaV?vhhb@Iev>]JXuUgjxPsIXnkAiM`]ppoRowsgiWIoIwgW^swyxaF_yNxwi[Y``oiwfIckgduY^oXh_offY^hGhfXfgid\\ws[Of^YfCnbkxjohd[yxonqnNxa_feqvIIxPaogGnWN\\oaeKGrDAqnIaYP\\Ny`Q`]TXcOymCPumHxUYilVdqP[CGheH\\vqcOQv[yxy_tUXnXOqhHuMqnFxew>_HarVOexoqXnZc_i_gllxwtipbithQrxxZ__ywGk;Oej_x?gtdNpIQvUiwpG_bQsOPfm>oBxkL>hsHmYxZ=Vg\\wdxPa^IfF`loYd<uuEVqqdWeRdcScoBrmYAUciohqmHHoHOYDAOhesiWwxveHHOSxweZaU\\kgauFLGhRGGAuenwiWwiDWhDoSWMTSAVdWdsirC_y>gdamvrEwy;RuuSCuViqw<UDhKgeEvY=xfsxuMUwghhOwlmBksUDIS<yV]mwI=bVQRQgWdieH]yTwy;WUUKsgySU]se?se;IpWyWcgneUeeTN=GcehASdkat>gcq]SFcrvqsqYvgiwQKhpuhLmvKgtIGdCiYimwpoDqYTAocbyxoGrWyUvqePOYuYWhYGKMecQfMcDrYeuceuIxpQYpgfmgYmQhLWIgeVFQGlEIYEtgiUWaeVeVBmtNOimAGxuwdouhOuiaDQ;EbcWkCs_CrScEKWdqUYUmF`wwmmCvUxJeUVMHcMGEyI:sXPyI:cY=sT]iw;eTPOse=wnyu>eWXAhuyI:MwW[IugyxocOEFjgHxuXhuv^iwTefviVuYXSKbkMtgAW;]H?wtpOxuGxp]ukAtduTFqs<AiGOhEOcpAwmyCo]hSCHEIXKeGLWG;yX>oBXoHumVasUDIfrii_WIPCFQ_F_gd_qFsWty;RXKRUIyD_dNwEmmcfUfugxk]EHqhMetbWV`Ocokfc[GjshyycU?YbGW^WTdGcosSlqsU_UkgxouVqSyw[sp=HQCvRQrYmGIuEQGxqmgugcwiu<urDCdheSyYTMgEmYSK?hT]WX=GEUYEkt\\SvBKtlec`qi`qyagbYyXjuTeeY`qxOeEcMW]wtKISrUgLWirGYsOSJOyceXaITvqeOeiWehYGGhEXJKSkCs_:FMuXpGTvyeRIyxEexsrEEvpmX_YEQgV`?tLYddIvbmWUst\\CVvQVjkvy;RvqrMwyquxy;RNWVN]RF?YSSFmCHxasucrWqtd[bmWrFiVnAw_aWfauisYHqE?eyLyI:YUwusA]YEQU]OhX?GgEXo;y\\qCFadu]xTEWGcEEIUNMDHstpAFveT[qigoiYSvtsE[cWUWgIosQsxXqt@gsSsxgoRL]yd?YPoEmYskETkkdiCBa?gVsXfSfkcsvqs`_SpgyGgrvaxAmy_eiJWIUusfqXmqi`ixEuROyI:asnQXUWeOeXdGDfmdCESyeVaAhMSyTETKQVGsbaSsmyrZIBmmgqgewgXoEuCUgeKfsWuhqYUSxGicR?wpYdn[yjIbwucBohPiT?ohX_XcOevASVcWgmwcgeHMg_SC`IY>IWSsfCeeuIIYaYoiw\\sDSyVpqfIisy;Roigy_XlSIUsH[UeleC]uedSgguH`ohZiW;KDe_rFmcKuxdkbmUymYSvquTiduYhhMyckrrSdTeuW_i]?iwwX<MWKOXMuY=yBxUve=ywyMUimG@mrLskXnAtpQHjslS`tWPUvC@kahmmxPshk=EuxESHQQvXnI<wdAyOXuXiuqXrOqxKlUpAv`qOKUwDQMt`LAEV`ULqUVThSQQMxLnmAQqIL?XSOtNyYxsDqp]S]AQ?qXwpSXPNvap_yPyhqv<xiujRiMuTMeUynUVgETq`UUUOuUkHtVqyshhPOytYDmqdRFmxWULkiqVioYyY:<wAmr@xwQxY:hxYMKntS]mVqYqlxKiPqO=xfdQ\\yl]qn\\QoFYm]hVliumTxsAQqdODUYUPXHLqUIoLEUhiwVePVLTcaNMapTUPEHPKejBMxcxlAiw`QwZYOMEJs`RoUnSpk>hUhul_=WoiwbYrcPkwYmj\\joeR_\\mdHmMmy_Lo_pND@QdllVupUTkFEp>aKctvSPlRIqVuPSTx?MnUePUPSJ\\t=ImP<J:DL:ML:ML:<Z::::::;FC;BZ::::ZDHZZZ>::::::::::::::::::N\\:>Z:>::::::::::::::::::::::::::::::::::::::::::::::::::::::xqyaG1:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCImUy0iRiotJS5CT1VORFNfSEVJR0hURzYjJCIlNUtGKi0lKUNISUxEUkVORzYi M\303\251todo de Lagrange
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Inicializa\303\247\303\265es</Font></Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==QygtSSV3aXRoRzYiNiMmSShTdHVkZW50R0koX3N5c2xpYkdGJTYjSTVNdWx0aXZhcmlhdGVDYWxjdWx1c0dGJSEiIi1GJDYjSSpwbG90dG9vbHNHNiQlKnByb3RlY3RlZEdGKUYsLUYkNiNJJnBsb3RzR0YwRiw=
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Introdu\303\247\303\243o</Font></Text-field>Um curso t\303\255pico de c\303\241lculo multivariado cont\303\251m pelo menos uma li\303\247\303\243o detalhando otimiza\303\247\303\243o restrita atrav\303\251s do m\303\251todo dos multiplicadores de Lagrange. Uma vez que tal problema tenha sido formulado, a parte mais dif\303\255cil na implementa\303\247\303\243o do m\303\251todo dos multiplicadores de Lagrange \303\251 resolver as equa\303\247\303\265es resultantes n\303\243o lineares.N\303\243o existe uma receita por meio do qual um sistema de equa\303\247\303\265es n\303\243o lineares pode ser resolvido automaticamente. Li\303\247\303\265es em sala de aula sobre o m\303\251todo dos multiplicadores de Lagrange geralmente consistem em uma infinidade de exemplos em que, depois de cada problema foi formulado, o o grande problema \303\251 a \303\241lgebra para resolver as equa\303\247\303\265es n\303\243o-lineares que o m\303\251todo gera. Quanto mais exemplos s\303\243o trabalhados, mais variado \303\251 o espectro de equa\303\247\303\265es n\303\243o-lineares encontrados. Como n\303\243o h\303\241 "algoritmo" para resolver sistemas de equa\303\247\303\265es alg\303\251bricas n\303\243o-lineares, espera-se que com a demonstra\303\247\303\243o da solu\303\247\303\243o dos sistemas os alunos ir\303\243o absorver um pouco da arte necess\303\241ria para esta tarefa.O \303\272nico conselho que pode ser dado a um aluno \303\251 "n\303\243o dividir por zero." Assim, cada sistema apresenta seus pr\303\263prios desafios, e a \303\272nica regra geral que pode ser articulada \303\251 "durante todas as manipula\303\247\303\265es, evitar a divis\303\243o por uma quantidade que poderia ser, por zero."Em cursos onde os instrutores est\303\243o dispostos a entregar ao Maple a tarefa de resolver os conjuntos de equa\303\247\303\265es n\303\243o lineares, o m\303\251todo dos multiplicadores de Lagrange pode ser ensinado e aprendido de forma eficiente. Minha experi\303\252ncia em Rose-Hulman Institute of Technology foi que, com cinco exemplos cuidadosamente escolhidos, eu poderia explicar a mec\303\242nica e a teoria do m\303\251todo dos multiplicadores de Lagrange em 50 minutos, e dar a percep\303\247\303\243o de alunos para as principais dificuldades que problemas de otimiza\303\247\303\243o podem apresentar.O primeiro exemplo mostrou que a otimiza\303\247\303\243o restrita ocorreu em pontos onde o gr\303\241fico da restri\303\247\303\243o foi tangente a um conjunto de n\303\255vel de fun\303\247\303\243o objetiva. E que o multiplicador de Lagrange surgiu a partir da busca de tais pontos de tang\303\252ncia. Em ess\303\252ncia, esta \303\251 toda a teoria necess\303\241ria para explicar e compreender o m\303\251todo.O segundo exemplo, explorou o significado de um multiplicador ser zero em um extremo. O terceiro exemplo requer a formula\303\247\303\243o da fun\303\247\303\243o objetiva para minimizar a dist\303\242ncia de um ponto a um plano. O quarto exemplo continha um par\303\242metro, portanto, resolver o sistema linear exigiu um pouco mais de cuidado. O quinto exemplo continha duas limita\303\247\303\265es.Neste artigo, vou esclarecer o que faz as ferramentas do Maple dispon\303\255veis para o ensino, aprendizagem e aplica\303\247\303\243o do m\303\251todo dos multiplicadores de Lagrange em um n\303\255vel consistente com um primeiro curso de c\303\241lculo multivariado.
<Text-field style="Heading 1" layout="Heading 1">Exemplo 1</Text-field>Obter todos os extremos para a fun\303\247\303\243o objetivoQyQ+SSJmRzYiZio2JEkieEdGJUkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYqJDkkIiIjRjAqJDklRjAiIiRGJUYlRiUhIiI=Ly0uSSJmRzYiNiRJInhHRiZJInlHRiYtRiVGJw==sujeita \303\240 restri\303\247\303\243o 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onde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBLUYsNiNRIUYnRkE= \303\251 dado porPkkiZ0c2IiwoKiRJInhHRiQiIiMiIiIqJEkieUdGJEYoRikhIiJGKQ==
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Solu\303\247\303\243o Imediata pelo Maple</Font></Text-field>Uma solu\303\247\303\243o imediata est\303\241 dispon\303\255vel no Maple pelo comandoLUk0TGFncmFuZ2VNdWx0aXBsaWVyc0c2IjYlLUkiZkdGJDYkSSJ4R0YkSSJ5R0YkNyNJImdHRiQ3JEYpRio=no pacote Student[MultivariateCalculus]. O retorno deste comando \303\251 uma sequ\303\252ncia de pontos em que ocorrem extremos. Para obter os multiplicadores de Lagrange e os valores da fun\303\247\303\243o objetiva nesses extremos, use a sintaxeLUk0TGFncmFuZ2VNdWx0aXBsaWVyc0c2IjYmLUkiZkdGJDYkSSJ4R0YkSSJ5R0YkNyNJImdHRiQ3JEYpRiovSSdvdXRwdXRHRiRJKWRldGFpbGVkR0YkA sa\303\255da aqui \303\251 uma sequ\303\252ncia de listas, cada uma das quais cont\303\251m um extremo (embora na forma de equa\303\247\303\265es), e os valores do correspondente multiplicador de Lagrange e fun\303\247\303\243o objetiva.Uma alternativa para o uso de uma sintaxe de comando, as seguintes tarefas modelo estar\303\243o dispon\303\255veis na pr\303\263xima vers\303\243o do Maple para ser lan\303\247ado. A fun\303\247\303\243o objetiva, restri\303\247\303\265es e as vari\303\241veis independentes foram inseridas, e o bot\303\243o para executar o m\303\251todo dos multiplicadores de Lagrange foi pressionado.
Fun\303\247\303\243o Objetiva LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=use DocumentTools in
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use:
# GetProperty( component_name, attribute_name )
# and
# SetProperty( component_name, attribute_name, value )
# to access any of the attributes of the component.
# See ?CustomizingComponents for more information.
module()
SetProperty(MathContainer4,value,NULL);
end module;
end use;
Restri\303\247\303\265es 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inseridas como fun\303\247\303\265es 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 DocumentTools in
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use:
# GetProperty( component_name, attribute_name )
# and
# SetProperty( component_name, attribute_name, value )
# to access any of the attributes of the component.
# See ?CustomizingComponents for more information.
module()
SetProperty(MathContainer5,value,NULL);
end module;
end use;
Vari\303\241veis de coordenadasuse DocumentTools in
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use:
# GetProperty( component_name, attribute_name )
# and
# SetProperty( component_name, attribute_name, value )
# to access any of the attributes of the component.
# See ?CustomizingComponents for more information.
module()
SetProperty(MathContainer6,value,NULL);
end module;
end use;
use DocumentTools in
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use:
# GetProperty( component_name, attribute_name )
# and
# SetProperty( component_name, attribute_name, value )
# to access any of the attributes of the component.
# See ?CustomizingComponents for more information.
module()
xxSOL := 1;
xxf := op(2,Typesetting:-Parse(Typesetting:-FromMathML(DocumentTools:-GetProperty('MathContainer4','value')))):
tempg := op(Typesetting:-Parse(Typesetting:-FromMathML(GetProperty('MathContainer5','value'))))[2..-1];
if nops([tempg])>1 then xxg := [tempg];
elif type(tempg,list) or type(tempg,set) then xxg := tempg;
else xxg := [tempg];
end if;
tempvar := op(Typesetting:-Parse(Typesetting:-FromMathML(DocumentTools:-GetProperty('MathContainer6','value'))))[2..-1];
if nops([tempvar])>1 then xxvar := [tempvar];
elif type(tempvar,list) or type(tempvar,set) then xxvar := tempvar;
else xxvar := [tempvar];
end if;
xxNC := nops(xxg);
_EnvExplicit := true;
xxSol := Student[MultivariateCalculus][LagrangeMultipliers](xxf,xxg,xxvar,output=detailed);
if xxSol=NULL then xxSOL := 0;
else xxSol1 := [xxSol];
xxN := nops(xxSol1);
if length(xxSol1)>500 then xxSol1:=evalf(xxSol1);end if;
xxSol1 := remove(has,xxSol1,I);
end if;
if xxSOL=0 then xxM := "Maple found no solutions" else
xxV := Vector([op(xxvar),seq(lambda[xxs],xxs=1..xxNC),xxf]):
xxV1 := Vector([op(xxvar),seq(lambda[xxs],xxs=1..xxNC),`f`]):
for j from 1 to xxN do
xxc||j := eval(xxV,xxSol1[j]);
od:
xxM := Matrix([xxV1,xxc||(1..xxN)]):
end if;
SetProperty(MathContainer7,value,MathML[Export](xxM)):
_EnvExplicit := false;
end module;
end use; use DocumentTools in
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use:
# GetProperty( component_name, attribute_name )
# and
# SetProperty( component_name, attribute_name, value )
# to access any of the attributes of the component.
# See ?CustomizingComponents for more information.
module()
M := op(2,Typesetting:-Parse(Typesetting:-FromMathML(DocumentTools:-GetProperty('MathContainer7','value')))):
SetProperty(MathContainer7,value,MathML[Export](evalf[4](M))):
end module;
end use;
use DocumentTools in
# Enter Maple commands to be executed when the specified
# action is carried out on the component.
# Use:
# GetProperty( component_name, attribute_name )
# and
# SetProperty( component_name, attribute_name, value )
# to access any of the attributes of the component.
# See ?CustomizingComponents for more information.
module()
SetProperty(MathContainer7,value,NULL);
end module;
end use;
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Solu\303\247\303\243o Num\303\251rica pelo Assistente de Otimiza\303\247\303\243o </Font></Text-field>O Optimization Assistant, dispon\303\255vel no menu Ferramentas/Assistentes ou pelo comandoNiI=fornece uma solu\303\247\303\243o num\303\251rica para problemas de otimiza\303\247\303\243o restrita. (Para usar este comando, primeiro remova o caracterer de coment\303\241rio (#), em seguida pressione a tecla Enter.) Figura 1 mostra as configura\303\247\303\265es que resultam em uma solu\303\247\303\243o para o Exemplo 1.
MFNWtKUb<ob<R=MDLCdNNZEM;\\Q>D:;BAcSHi\\ZRLCTJcDXoXuuX<;GqcUZyCviIpOfZKsw=YZ;fZKSecG<ohDKFiuT?scO]tDWGDObt?cnotdet?iUo]grOUI;hdeBvGTQeUkOVSugdQgi=tdcrm?VkEdOgXO[I;=R>[X;uywyfGEsEUXGmV`SHMGesaYv]tFmFCaFSWvqisiyxEMHsGX=QyCNom@icI]mPjyYmwvhxhi;BO?Ux_Ys=xiagjIrOsdWMWI?JdPpWhEKGqSGxAv[YCyKueytU_eV_cGsWxyFp[ioIVvMdgsyEeIM_ExWXdGsFIDCwTDQyiMHmeBUQUUQxemUvohgktvkiVgWYoGXUuPSyssWewVpWf]gyVwiOIxSQuxaTnwh`IxQYsWUulYWxSH\\CIguDuIIimuLSWXiwaWg]ghoiGhUWgeYEgYEWYyiGhUxu?tusbhuY_mX<Acugw>wfNMx\\UIX=XK_EAlrtpK=>`lqmoApWXoW?vNatNIoigeMQa[_jox\\UveoAqhveiQwUx`yYyNhpaqZyqwrWxwhq]@ZJW\\Onm[IptgsTaskibo?]mxhSHgmHqtWsyx[RapcWw=i_GIaKYrmwpv^ikqlAHvjYZ<xyxGpCYeBrrMXhCSWAc_=BFObPiyjkhPqU>Wrqmx>ecI_yDav^=IjSTuEh_MbuAuugeR_hE<PPDK]xnx\\YpIsmqViYqqqMqaqAqSqUKXlykqlytypQyUxOuIxoxsYmXxuSYuxquQvUUn\\qqYRYeT[QlyEXCyq@UruiQliP=DuexTxeX`iXY\\yRyYW\\wU]yHxtVtybXNhyMw\\UqiqyIYSYmt=YtEtqtQkMYn\\YnYpIixGtJbXV<Au`px\\TW^yTlPonLr[yLiMunyMQaprewyQWXHYYYYgQMYTL^akZyw:iyqQmy=u;TpyqpKis@hUyEuSEtjqmmqUkLViUuOuUyeUn\\YjyuWHUaiTWXXJqQkyjmxpw=UYTtYDQoLMxYuMxuYymQdy<IqIik@xmnMyAayXDJ=Tygpmq@NV<OrXUSEmcMv@ltITvaulvHQKtO\\QjapYtioqDYEyjWYtIXmuXwHYQ@yr>tKYpYfInpaK:es]pRCIx?LkdAP<YT?moX`u`akL`ROpRXAsQ]SHmMWxYhDs@xovpWIiuiILHtyYiwyEyqYkxXxLxtxMX\\UX]HsctSt]s[xXWqYmQUgIqUqSYyyLYWHtY<YMuEpAtxt\\wOHxe<nO=wxukrylgtyYtqPdUyhQbIPi]mfIr`hXZAo]lKBAMs=y;tLxEyAeQterAemrmsPIn;mq=nju^f^NgcNaBx\\g_t[_ewwfL@qtWuPVlvHliwuNX]inerao]p[Vyii@w[YeIiylQvQail^]xfv_yvyhwVy_AwcW>qyqmi`agAeioxjQuiquSftNwxuxxhpxF>bg`\\>Ok>_qbFu>O`k>lXpmIqidastpybQsYoqoamgooNI\\>nk]ykWx`aIbUws>GapItA`qwaqgHm]qnend@WlgQaaifQfijaxsWpqiqAqcqWqwqxy`exgvivkwoxuVrapoy`yfareneqHvgIpTYkGiilNtwfayWxwyp@Wfhih>yaWhxTxnynwKyjfIpeqc;YryIy?ixexqrYjqoibYw;Ah]GwMv]m_t=pwywqwNrkyeWwh_ImiQy\\_yoPtwfAwYegRo[swyEoghAIsuyTvSy:gYquiaqSqUuwutuwb]mWyWviwtYAYEyShoygIgiouTKrhOexeU\\mxY_YgihkQuEGc<qeXwvvGv>wBX;hQiipQia=yjytyWisQgYgyhET]eX\\EeQwYkye\\GvswSvUW]Eskurf;IjuhgcwWsisow`ysvEylyxyMwLOHiiXNkFh]y=iWMSUT?SDKD@YEYmxrYb=gXUYxXsXsWsYaBIsWwYtgyitiuGyyuewGsguuvF=wvUrEucGkfSyVIGecMbG=yYyUXhxiqyD=Q;mUIus@QvAqMnxyXXyfIpMiU`eWXHxp@V@YwxAymyUWaX`IQYemxAwEPLeMxoYxyIPTlyuXTptxCAY]QtAiuqumWxXTIVuiUhIq==Qxqky`yoqrUxynYpemWvewuxymlQiylYyYD]Pv]ucxvidYhYNQ\\swxuhtxRauKHytXMheUupwdxSxExlAVrYkaiQiDx\\xmytv^@WrywQDwMHJF<N^]N<hR\\]c\\ibE`jKnpI`pfywS@]S?duG\\TyfiHmEhlpv_sIctOj`QyePn>HhihqlxofOiOy`HaumwpWPr[iwqxmo_r[Xywwvmyox?yYyqsPlw`yoxchfa^Anugs^>juiwk`x?viuWvGwpwVvCw[w?wVXy?yrYPi\\Idy?y]ymXix[IwDoeqygYFy:arRhwiQxqvxXYgaAvigyTxdf>idYuuHerIgIqalIyIAejXtHxhGxkFNn@?xqpy<ylYxqtgyuwasiwFI]yfqdavZ^lFaqwWiXYhKYhHP[@naJQ_^_qcGuMVn[ymxQvqIrAHwBxjfgwMHx@ylynyovfyG_xFx?wvwvaBi[kI`qwu[Wy=pxUY^rYkLnrawumOxXIoco[VygI@viNcRFuU@xHYlpquwwnrAmWvhRqy;vxUiarY[LnbShqQ^n>`rR@^c`woXuHGrYiZiAakajQhi\\VhhXhXwx^YyYyhq@w[qmuhuwanav]P^[>H^=>nxI^]XvrG`k>lXpmuqrHFfyIi?yfMY\\vYsUof@ovoqZGPv?_v;VygIi`Y_dHqUWevneVIeLystWxSvrAYv?_vcyky^oUxtthyHxqPHmfwxWowxIqI^mPisEfn]ib^wnWvpyff[ogUVevBKwFGeshEyDwCx=rFacYYyKiH;yuFpluyWm`syUYuYpMDx\\dw]xWwmtXio`HsnInqtmJ@kQdtTivXtXutok]YpewN]OX]s^AssyKjYO@\\ts\\VnhPxXrt\\kjxnaMv>at]umymSkQLIQY;uQhLRjEvQpYrQrQmYn\\oFAu]qsnHXnay=Pjyuxr\\x_YLMTlQyUX`QUeXUYQ`tLSuxWYoYHx\\yx?TJexsudxBYN`Ms=xWwuwdYLHuy:=PjErstOFprYyxXUqNtOguq]tUMtq=qwauuuMw[UpqikXhyfylq\\R=ypVQyyuQwIyoUtQ`UoPw]xuBlnY]xVYnYtYFawAdQZuwbPs^UXsuQoqjChWUQS\\XpOUKhasumsSxN>Ex\\qjUpWUexkxWvMwmyQvyjadMp@w^XnqUu_UXwPrWyXVqYOQx?XkMes_DjiaUpYky]yayYIltvYVaeQaAt=xwWdTx]pVikKUWBiMq]yoYjYpUyDQkDy<xVFyKUuPLdK_TyYyV`IvatQyYjqmY^eUj<XDYtYlQaAnwxvWLpopPelu_XvYyqjHvWyMUaQGIsIUYRaw=txXXyZQnupufyXiImq<w<xOWmyXxSvUQRiSadQ_Ax=mKVYWhIrUXn^atmuuU\\wu`rSQoCxSEiWyMq]yvyPqkQtEyosAyaqYR\\kwmxYysuLyBXJhyqiqt:DpiiqlXWTqPVEyeYPHqyl=xp`q]akalQbAjwTrKXYgEkutSrdw]DruilsmpdaVyYyapWlenq<NqpN]XprEPk\\qQeKyErP@YK<YYyNxHQMml^eMllXZ\\kQTU@lpspO<=MiLJIaUnIjrex@Ey_tquixa\\r]irqxYjyQipYEas_yn`qQxiSIuQgYJ;]qBtMxxv]xurMtElsEhqJyun]q?uJAQw[lnQyUO\\rE@VZYTY=y[axtyyhloe@KfmkQTUvyrQqPPxUSxthLmsXXXyyxQx@`r:qvTPoMyMMdKYiNp`pA`MvuwQpQiIT;ArAxQmimQ]q_YXIHYXIYSTtv<XYxlV`pshn`ayEtqqQoqhY[AuayLWmq\\\\wrELDLNEQnMtMS\\Kv]w\\xwyPyfipI=YKyjEmw:yNYpyKxlvYwy]yUqvrEpSyrytq[iRixyfmvE]r?Dx\\\\MrQw_tQGhSfQTwARghnIaMcawVgoEwri`rHFopvdZ_grQcgph>YuYYyOxiX_yrAhrq]qwqUgmYYpQ`mv_skxkx^^t?yexuxIvSy_wvak?wrOvMokRPi^YZI>qiqwqguxotwvwkwpvphGph?YoVneqqkinbA_oGhlY_itIhmwpHWpaWkdGkIwikWreociViAiu=OfQottPvyxiMn[vawTY]HNuyWw[`y[vZhi]G?xUXwyA]oPlFIabwmZywSwct^w@yavIwyoosiy\\y`V?]Hxygixy_kTGc`w]nxcjyxIvcVxh]isUxnsGwUVkhN\\tYuYyuLfpL`ZiN]vimjAy=wgDnfvpx@xli@yvGyw?yqYdInmy?wxxxWyfaA^WgwnXrWwhVIvhfvaiy<iryFevOv]^yfGZ=A]iNnkiwPafFQ_Sh_hpupIoGwuYHa:Xmv^ycHwKHxkI[QaydqrbX_@YmHAidOqenrypyMasFxtxQy@IlsWuX_h\\IdKInyi_qpyYIlEvsD_cjitITH;uquxKAuRiyiYHMuen]y]uEL[yO[SjEtQuHxsycyCyWspgx\\Sihai=IvusuqYEYsUnIvEsiuIvIaYqQfigUkMsMqEP_e`qeu[ExSyxWtYSIgayEsiqIdIqYiSXGmIqixYsIiIgAwFdGEpEiaqCIcI^qIyIy[wDx]w\\wE>sYgsHaayqsI];sPkYt=bkOcQCeaudNwUTABd[WyUxuwI>UrAaI\\AvnaBAaGRGI_OvQIhCwbTaxywGWIwhYUe[Fhui]ygiYy>Qi>aBYGIiyE]?YkYhemq<xsyAvouVymy:YVPxK]qrxpXkYvTmP]`JSEvYmUvhp[`v=UoyXXNYpPeYiUvotPxIvIEwCqmkhnPhvvYKyXybyvVXxwikQqurUXdMmSuYm@xr`ueajx]XGyxyqw^yxwAvAyqFamkIWIhmMQXmmuwQmatRkQvTyuxIvEuurIsu^wUwkwGrAfyRFZ]h]in^DvoMHtOg]@Yvp`xnakYI`oFdyFlb`pbGyN?w]ymWwyjHiuyj=y[s?twoeoOykGxEOfvPw?yr@wndpZx`ikykEx`Zimixi`gye^axFyhXd\\ilMFr@gquY^Qv^tqtGqkW@rlAmaaquqsXpjOah:YyoywhokTNcXAxlx^vpwWVeIa\\WoqnI[mVtVwhmgdUYy:h_WPdEycppx=xnxxwMwlfNiwij[q\\y`xswby^vZYi?w`nFuowvGylZ@y<YyY?y;X[hfiCImYh[u`px`v^XnXNx:ii\\XqV`wtwv_O_Lq_tvx^y[wovux_uWty_jQHyV_h\\Y^aa]nxhNqbmXcxakKXZqYmswwHGioyna^ef^\\RvkrGt_gc@et[cI[YleuIogviVvKTv=yfYd=IvZ=vOwGXGiBwvIuyqQiqgeqiv<gRwGxOwSskyrGYKYrekyuytSWdW=yxWt@;ypgi_ac]yEs=yFis?uyeyfyGUlQyIufaScY[xyGwOwSHsBXyy`yVo_UxyRXqYLUscmYlYhYiR=YTEkErMuCwRH]WhehsKXdEr;EtrYg\\UtnEwxIhrcXhyFxgY>YTIqCxqEpatq]Byuv?dX]Ajuts?AKl\\rEySs]xAtunasayOv=y`atrIlimybyNmtW_iMUmSbiKl\\rLyvwLwwyWvmrCySugsoQ[YVeqYnepimV`Gyelwcti[`_elOtKxvxpycwswnyjAv[YixFxgikyiyUQvSvstynan^dPa\\HvQxmvAoj?vFi^IXopYhlqnQpaPygV>dAFW]XpmGCETWkRvox\\QwDutxIDImYmyshCYm=YeMduoWySW[YDIsCxQDMaUqUrgsbykyGGYAScqkWvuR\\]sgyhyiv>irmsfr]UyUJ\\XpRuMoAx=TnEQY@xtnawaxn?QPJ=v;yJhYxmhXi=u``QXQXGusYyurUWnEOIyVxDw[HrYErltYyUtgXqiQpoMv?tjgyMWmtm\\q`xVTIwihqZYQeml?hy@uXUiVAylvtwbAvilQ;ioqhuXHYdPWAlUrMr<XqiAqw]LHlQrErtAyU@y;ySYMy<hjUusSequqKUyQyEvvyKgpqnMVEUWBamAlwM\\yw@wYLlwLNitqmdW>Tt>hYvtSwmvvaqcMP?DL[\\w]Iy<hjITSxeWhakctPWaya@oxTvjxJYYyeuXXmtmywHEYy]ycxrYdYj=xQetaUv`xQxIQv`ua=vJYjqIkhTwcQmX@RwMv?mVGmRqHK]xnH<Y>Yoi`qrasvXKdeUuYwUtpViqwhkDAwIeYhUmHpYeUmQ]QaIWmYwjqWO`QWhxexutIStdTVqYAofp?grQyqxotorMNuuPtQyjxfqxvw\\Xeq`upWysYoQydohqAg]kVd[W\\yfaonalNa]`vbXrI>[MnbXxevQy`hri?yfGxenemYwUPkIw^Cimky`y?kHw^sqtIvixarAwabVhltUkYkabNMgrWvisYGLldEYQpUxeskxRX\\vQdKbhWj@w`pN]@xDXUkPuExLiEg]axuvo`h\\iqfK^[AycUF_bIjK@xZYfXWy[YpIGmqViYiqqAqaiapOuv_^qyrUoyvYueygx`wAytxviSIy?YxX?y_x]XfayAnjpl\\QwYxeQ^rEXpXYyYHx:OpnGy?vivhxIykuNyJhiiipeqxUogPQiuiwyGqhqjUOguqwxPygx\\WQheymIxiVaubp^]ydyhy=IiYveqqjQxakfakyqvhymwpVQyyWdI@abquuwwLnbJ@^E`yxqrUW[PxiXyryh\\vimuofpiiCO_vPsM_qC`vawt^_^F@ysVo[WbCYeXyxoY^IvaZArwqxRiiai]]y`_FyXykhHiQybyH]@fsqhiZHyByjhyiZiypwugn`G?pxyuUAigQoyWyPGrtamoIni_a\\Apwq]jHi@i]\\y`_FyxykyGiHy^hFkpXygy]tqrgwitXvKVxhypqimqq_SaiaIlgfaIwsxAxqVjSo]mAk=VnT`kYiujWsavqjGuEwctNpEiioqoyWq^qpyvukAxA`uqwoWqhDvoMHhAyexyuGwivYlYVaZ_ZFoZK`fpausydVopsAalIvEv`YordqpMn`YWiuQnMQ`THmYPxtYhuVqXnrHx`igqdQfvQqMHxu^kIorhHnRvm^onMgu^arGwdvX`tOfQIaiVkYghkOxHyyEQ]K@i_`oyQvef\\eVgUIeUQnovupOo\\ipgGp`YuXWglWmU`pQnogWkwamqhtmVuKItxosYQwraggwidNuUWxrYw_qogGyovmR@u`GrkHgu@uIIimqlRWxhwaWg]ww\\tvyPvvyWi@GwU_u@ynEypRypr?^YQvagafwvj`ui`rdi`eWmGqvcxgWW\\Fv]thyOHtRvlQ^:Ow_]hL_wrEr`qFgyffgg`hR\\PuE<JZpNPuoSUQ:`j;>][WdMWdw?iO`u>HnhI:GdNkxS?ERMrbGfWmVicSnIW;\\tMqPCTvuToYXWI@JFTjGejIDVjamEMZJ@`:>ZCV:[FF;JLlJ:<N[=Z^J:`:[N:F;<N[;;<[FF;:<c:BC:C[:ZJD:`:[N:^><>TvbmTYqUcmsvhJKAx@iKeYUH]ulMMRLTkyw<Esi]RkyT=yx?<MYajK@y?\\KyEVwqNllpLtMxEL;<MwTjceNkYVD<JLlRIYR@=hh^yE_cMv]Mf[ax^HvjMYp=AtC_iRX[xP]sw]rQji>c\\Gppq`JYdOvpL``ineQ@]m_s]xkDVx>_xEpdJwaVQph@aiOvb?awPZJGn?WcPhekGu_hexg]TojF@x=aulYtXpyx`lSh^tq[tqt:f]yqqG>^[_je@]y?]gpgvyrhOnVWbC?mEOnyWsNAk^neWN_nqmqgmOgtQI^KgjJvyrwpvQgn?tBAev`iYQ]ZXjYyp;^^F@yIAg;ykWwrWWuDXgqWoGyeJYniXbiQq\\fhJay[Ye=^x<AfHi^cqjXOnZY[<^tYgui@qO?t>OneP]]Io^y^Yy\\>>]fpaOIf>Yito^H`pDNa;p\\ivrkP]]h_iYtXfkIwi?^i;?jtAmFni@pfIimYgd=_gmQvoglqob?Pmbwx]iweAZFPwiYekhteotpVmGwx_FZ:NoaFF;b>GB:;SR;:<R<AJ:\\NF>j>LJ@@BBBLk:>C<JC:D;;>BZBB:[CQGUpEB:[hnSYhay[?UIIgcGgOUGQ=SR<Vb]UkEu_hPYUrOYWPqtaeV`etsuwf\\QxAQY<gj^kd_ljNrfGtfo`MVvmQh@amsW[pngRwegQa^o_m>]SviRov?WrSOsipeinp?>Z^^kGIx\\^sPVtMYtKAscHoc@vYqb]H`jQkc@ikyulf[nW\\Q^bG>Z@Wbwps_FkAYkjIfGOqe`^Lqb\\pd=BLKWKubKkTZ]RkQFfOiBsEHqeusyDWshcCyiGYeCJcR;oC@mheChJ?x[]TOCdxEcreG?Mf@QFksG:;SRcdCSv?=IJ?gLAGSmuaWsiQx]SiyEijob]WhQ?cIYC:KD@AHCOsiqIN[vlOBWMcqwro_wF[t_]IgqFauxtYdiCYmKEYQv<wwBmv[Gg>GTkGwcIwrUGCuyYAyduD\\wr@cTOSggsYqMIriTDwGmWeYchX]yZkTooWJue]SupoFXCbbGTE_JvtMoLWPDkaUkpUQ[]XpYyOiSH<OraJNexL<kQTLTDt:HVMUnmESPeoVElBMLwLKPdUPUP^iyDyLftNmIOSXjhyQFIxIET\\=QkaWt]VNYprTx[Mvc`xLQutqo_xU_XjoUsUEmvhV<AtwUkMtMxIVyASQinO`V[IxAijQ`YIx^cI`?ijn_tKQ`KWqJ_al`sSynsgs[ImEocyVmR`orihWvnLqdLicy?fDohgo_SG_Lon=QhXy\\^`vTxlYwpvhlSFsp^g@GwUQmhf]`NpHQaF_\\YNeCO_Mn^C@yghfDXwjNxpgi`Ay\\Il?iswhwpniaN^BGmKPuUHgQwkthc>wqeggwQqootFae[qhsQvj^tYqtKgqFQdgQitotyqql>`FxrFgxSO]jn^VYeOnrkAmCg[;>teWuSiZJwsB@lhyyOHi?Ou\\g]nQ`h>g\\FwfP`]hos`tQ@`@pboYfip[=nj]^f^omvPaK?u?Ai\\hdywvCPhQHubawtQy_YaMwlYwpHxDOU?;cjYtuKxWsyaSbowgjQbMcsEwtgKUl_SYMC@MTuwEiqIyeEVoR;cIOYfEWHOUGvwsQuBqcCgoxqQGVeCg_F:;RoahL?rJYsemG;;dj;bHIsP;RGCW_CJBk>>ZRvctIf:>bcVoQaooX\\^^[:>oLatNalW@^[?Z:grt>qFhtRXtIVZ:>L;:<c:bd=wcIUeUhaqsqWDtAVdMWDuEh;BCSVv_tyqV;YrHIChABw?fO_JZDV:<JLBRsStIV:ewbQE<[XfGtb]t^WBY_b;cXNaWpcw>;fWehtcGhoXCSFx]xp?xrYvDkFEuIUGIl]uHgYmsx:EswSTvCUqSyvSxZ_YFyufOH[SVMqfGmPZ`qTemx=U]`jKlL<Ew=upvPXbmxVIyChUS\\SSpMslWlqx:EmwTtluJ`mQUmYCIr:Qx_YsUdk@eQy`KoUNXojTgeLnbJv_<agKvo[Iev`xFHkpVmNprv`rDN[lAnBvc^OppPopOiqXZ]YcP^_:nbXgqHi^C_`ZfZIVudOdDPo\\Yr;@vYab_airnn_Asbox[io@AsepfbnuRarraxxPsVYogvfcVxPhdrqx;>nHVfUP[F`qjF\\Nfk_YuxNv?GgRW`Yf]Myb]o^p`tOy\\F`kIx]tXngabonbvPZ]hv@qZ=Fv`vvGG]HvrqQg\\pn^faEGyq`o<ypIPZMXlMHv:gyUGf@@gOGjTp^FpeBV]uYr\\Q_dvpLijSO^@_b=IxSyjnP]]fqKgvqnpFalcAyOHaEGsv^lbOscFypi\\fg]sgfp_dTwrAhod>^[_p[feRaZ?HetOpFIl=g]iNxDhwpp`pXjWQlqVcS`aNfdY`poPc[ql@Wr\\ibUOjlViROchI^TgdZ__LbQEhKsdboVYcfGgSQSu_yHpWhWQdXiiwoYuqFpgIEeReCSSOfTQg<SVN?H<Qb[ExLYHlSi\\]TUexWsW`ycisY>QiDkVX_TLqt@qVHEul_DIuwXqsPeHiibLSsIsBTiWTGBZ]idAHTiiLCU\\AutgVKodbGTIOy[]b]SrpcbKSYqUD_kWsicGYelGtb]R]YsfquHwTocy<EYiuUnOYd;HTiH>ewHKeB=R<AwdAeu[geqcQSHcIHcIwEKG?MHAWfsOf?qfQcHTcVOmvP]Di]WXqiDwIU?YaOUhqulSWOMx]CtliwMEb[kU:KD@mbbat:_rROvcYx@mvoIEfCIQAWNgTW[WfmvjMVZChRqXicfOisoYtDwhBCx<;djKGbkYRCB[UEAoBHohD]ub=imOfqWvlSIvEwlYxH;XOEbt;uHqGZ=b<_WKAWnKtwiRfIe<ODqkYO?chSsfqCP?TliT@gVOEbXIXqqX@[S=yRAcFh=Yw=cHwdMybogE\\gT?[FF;EeeWowD^kGBGEgCfyccHcUhOWrAlK<lj<jtEKEIwj`vX<YQmj\\quULWc<V>HwAHJ=QOi@uHPwdLWLtODLl>]pXhrU]JFTNo=Mouvx`v^mlViOETvhMQ:]L^Mj>Ay\\itBxJB`qomkixnMxR:MrZxS`pn``w>LSPhyOQSQ`xgqmgPUOmt;\\NFLoQqwO`tSTL_MksIne\\tO=V:AkKyK=ljr@MPu`bh_o?]j^ckQn_OoB_m<O`JX@_RuMSSovOcDR;F[lJStOLLPEevneQAARDtwppsJDLi<R<AZ@Gsl>akFu:Ochqki@q?>cR>jBXZJ_bIwcZc\\Yc^=BLkB:uv[SRv?bKkfO_BR;BSQB@met[K:`:[N:Z:[^^;;<[FF;BZoSduX?igOYWPqR=YCIwIhOrCWsv_XASCcaWh;BJ?HtQegKeGqV\\]YXEyWkDgYhaqsIsEhsUx_iuQdx;UTiDQgUTqTd?CQIfFaU:;F[]CZkU>Gu\\etDiDKAs?YSIACxiWnKEcQxuKcQCtMEr=qYPuF>yUT]i:;b>OYoYrBwrE?x[MVFmUSsEYCIkgWeIS\\=IvYS>gdnAeracCGi<Ib_YsQwdVmQJ@P@TNf@rBYKMDRF@kTPRTQo]=SAqk?xrYttRQNXtL<IlcAlKltK`naQKeHS<xjKYSN\\OY<J^\\kKtLoPo>hPYDxv=LFHSnto>HJ\\\\MYHQQaRPUvB]P_]q=@K:\\k[HxtXYu]tnHT@]LZLuTXoZtY:<j>HPFMvGxL?Yl?eTEdv=URaUX;<rRXo?UOC=T>xMm]skDvSXNcEmwLQ=HU\\PxxLwBElHDMCpyJDv\\PP=PR;usCPjsPk=uK:\\kgPMOIVN\\mpLlQXSLdMpTnAHTxAwf]V`]lC]SJpqvqR\\\\xr@S@<JLlRgLokLrP@krEoVpMMxPQMnxHNmIolYNMIt[dQ;]phExCXvMMkQ<JB=Mo@T`aVG`qsPPYlVXELe`vBaagnmW?P;fpEC=ECGlR@XYePJ:^;>:C[:r:<SR<J:JZ:<><c::[N:^>Z^J:JnYsfTqZpWPu_Pqcbyn@Wnkgr_wlTy[:N\\@Aweo`Uph<wifPesPrH?ZJ@`N`iNGgkQtmNwvIZJWp<>cR>`RVpaqsiAiXivEylQqhuP]Gpjqv\\J@`Z?l@Ox:wegiZjNZVXc<>ZB?]:>rj>oWW_C_yVgs?xrYvvWNZ:HfNWnt^kZVe>viGAmj_cXaxmovg>gsnn_@gPp[`iwUqaCpyDysLIe^XZ:PoNinHV^Fq\\;Arnaxn_`lOgdOg\\@x<@c;__RAq[gi_V_JgtlO_QvoBI[pQdkgqHWsCNinv_:^tnFf>PvkQ^v?eVIox>k?f\\@`ktY[L>jV>dJ@lDyfo>ZtgoPfo^Ff?nb\\ne>pfIimY^jFp[hViJ^^I@xina`N]YHawGx^Gw?n\\yPcyoxU_qG_^VrISDgkFsUrcIYA_HxeDvSub]HtGirmB:SrWubKIbFQWF?yR_s[QvTwcnaVgsDLwHVYtrEDOGg[AXvob]cyfAINqc>WUKGEikFV]V<;VFSwjKySsRtAHSeETeW@qh?=FwGv\\iB:OIFOGeGHdsTVqhl;D?icTSVuMdB]i`SRv?blOc`iH:tKXaN\\@Nd<PPIK]\\QhamTPmDuX?AKuDVNIn>@Sa<m>UsBeMHxt]Ix\\luDMPXHN=]q:<MZPMoPl^xW`DUx`WBTokLympmO`UAXnmDYWeNDLP>mvMUvJHQ<iM_lU:\\KDeUTES<PxZ\\wdyMiLLLYVDmjF`rjuxexls@rb]VIUxGmu?mS]iW;DwRILwTmR`OwLpFMjSLT\\iJ:AJGmJ_XV?hsJdsExtgLUl`oUhn?ySc\\MIQL\\\\QquXOQsOlQWhVxdOWtYBMnwaUxENgqYvXqyQQ:\\xAepyxT[yKfewtMYtIQ@<jK<vXQo:<j>HZJ@`:>jka`Eq_Z?igvex`uHC^<T_hrEusjXL:\\NFLuZaTOUYC<oUHVsxQmatNaTGmYXdNFPuCtooeK:euNyytMKoPq^Up>HvM\\K:dtmmOC<JZ:<><c:bh_eEMBoiHamu<?XZUv@gx=OU;GRw_X;QC>Ui_KtEgdV;ypWH\\uu\\QvI]WnIYUcfIke>GBoiy[Mcx=Wd[yKIWeET?YTH;xa?HkQiLABomtPybmwDYQy;EtDMBoucQCvIoS`IdJ;b>GBNmXR[D^gcjyGxkFTseBMGkIdKaVsuCmsDUGivarvGemwf]UTUUgWIXrSsUQc\\iGd;YcqdUoBWaYVUD]MHywU=ASeCsjUgOiB\\ubQUfKAE\\WScovooe^WukUtIqboEFC?hLwHkmueqVhKgvaw_yTu?If_V@ygpOePOSx_XIOee?Ee?EKGY:ATjITIuYOeFFkBZGufMuCcuRCeu;gOsyRcvwSEGwWsYUPiViicPWGJGyNmUBAg^wE@uBicGX=TsyXmMVnUe;eFFcV^AUUcwU=rAyYpOsNccWay@idseg[cyGcWquH<KD@SfZWeuIGisUx_YBohnWs=axliS@cEAEbpOUCmbnAENUGC;SR[cKGdvWEgERisbXubLosDwylygOmYsidACdHqUTMgZwCAyCLkBJywJGdrkbX?WaOtxsWDas\\SHT?igoF[AWKeGQQgvQxEaSSwtMYHmeHt_Yceg^[TX;FLsuT_iImvjwfUIsZewausWwUOITZUx\\iXEodfSECYVDQYTei`eWmGuVsvx=EWaYtUfwwTlEFgqYvgYW;rigsj_DDctxqU?WgkSg@WYaKEX=YvIX?SdO[Iu;goOJ>PWN@P<QTvdYhiVXEkXEYV`sEeO[AybxR[=uw<p@HQ]DXg]klTWRlsLmYUMyV\\w:<ljLObdM=aWKtoUIKIaNfyvOAllQTE]Yv=T>qJeUUIQwl@YkyuldKnULQ\\RG<J@XN[]jLdSAeMn`N?urkIklpp_AsjIvlivEYsN\\mciv>Hp]LUN]P;MVrDPu=yf]Y@QletUldWFXUH<WsejMEoB<VvPL@EXIalel?Mh<AFXaeKcV?Od]SrlAiKAWF]fHqYFkeDoGV?DOCT[aHKQX<IC\\gxFwgj=IVGiTCc_[dVEyhSSYAYTGGBsHsEIccIiegd?XDKR@mvUWC:AUNIVnuGW]hAgFnMV^]YZCH;mVC[DikvMsb<Ite_DYpsUekrEpQqttmpUtOLDX[`S_XsjltH`f]^rE>ZCVneFmQGgFwkF_dE_lc>i\\irvwfOI[swdJ`kXgqLhxfaoNo]_xs:Oa^?kQ>b_^ufOhfX\\@?eP`nIvu]i`JFwdGkpPi>oneY]Dyt\\^nQWnrgvUQeIqgx@]]nxoHkA`[kEdCHocH_uFFsU<ACEks?YSIHuOTnWQpvlu=MNx`jrENTlQUpWL@sMQX<`sLLQkLPwPMgtTxhuoawfPn\\TpuLwb]jFDx<<oDXYFmKkeM@UqimU\\pNZ\\wU=LiUTBPYB]RWxN\\iySTPIItBaoa<kilPkTc?xlVFmqQ_kiliAyVOl\\Ysu_hVXl@X_^?kQ>Z]qmjNnp@jrGiJp]MpmxFd;>\\Yv]yPj?Oi\\axNHmeAlq`jnQrMvtwa_xgrFAtJQh_YePnlswtXf_HO_KYpSH^fv_Lf[?IojPv?>jt^kSpyGf^ExjvxfmvraomdNlXPpZi\\Uiid@yOVxHgecneNGm=oxlys`N>mnFIs:<nPIK=IRa<JF`kgaw<Por\\oA<JCTna\\T:AJ:`:KY_mdW=rJUsu_YS;BLkBn=WkQtm[w>;BCSbX?EaYsFicdqhuwx;;tkoR]GTMoS;OD@AtyMdfabK_tfmHgajJuMqESRTrGIueTnWLPpdWTaVynjn@djo_C^tN@i;^[oF[=>ZJ@`:RR;wAGB]?VlMXl[ER[TUQs:yT:;dj;bdYSqAgVucIscIQC:cH^gd>kRD=TtwROIC]Ii<;b>Gjf@TYTxO<J^\\K:<R<_[UHjqWjJy[=>lj>bv@\\i>ZCVZJv_:HvKgySQoiIiQIepW_FVccq]XxxKeFKGCLoTEmFir@`VZ<MPajk@WCQPuaL@TMiLyYulJiyD\\xhaJQAYdEmVQRBAj[`SRlWoIK=PKSTRwPJKMJbirthRKProPQZ=kMlJJymdPjriTtXyp=TXpU;@x[eWeeJlTx>PWF<lj<j^EVSllHXjt`PreQMTR>mW:DK=<WUAruML>Hs`LYoIjn@QBALZDft?eFydXwZJ@]YxdJxRuWq;wrCf=[FF;VNWBDmV;yIfcRxoTL;dj;b;[DkgyVecpUcmQSDwYSKB@?SYugcIIamMKyUuXPtUo:PSLDkRPJ]pljLjN@pkUrtAwihVb=kI=LFuwgPVVhrI]NCPQ=]KdpQ]=wHqxFxxWDxSMjxHwMUOC=MiLv]MrJHNt<RaevtAJEHyX]qh]qfyopXWB]XD\\SiqTX<M^MrbTlyLrDUkjTX>XrK]JCxVK@ohUNxlNkTYXalj\\nLdv\\AnDHsXirTpmhElNEJ]@ljLmQtoE]kslfIP_YN``NfGH_Sh`VFkbHlXnsEf^[AhtgxZh_EplfV]kXc]Y_wGj[Ho=AcVayf`vIIhQhtFfrmxbIQqkV]WA]UYy@v[jQb\\@j>H`KIbd@wc@iaOtbFfrH`U^hMN`fyZZ?rCVn`N`UYd:phCq\\:wZtahpPgtaxNabcxesi\\i^e<WZ:nZbxio?]C@lKHilQw>Ow^?lvHs`Ncniqjo_C>ZFdjkFDuxAaSy[sUkWqMS:;fykhmWC:;BCSB:>_AWh@>ZB?=;b>GB:;K:<:<B;BLkJ:KJ@@BB:;>K<BB:;;K\\:gcFQoCQifpemp`Tner_ykouRPmmqi;>df?xo?];GeO^yoVf<I`sWtIImq@nr_iXaZ_omgagDIhEq\\OqqYgvsww:njBAjeA`<Qpd>]RpmXpk@ocGgc?vypN]GX_hVqnvovAurHFwT\\_FXOSbkYpWhcsrdkUNmyxedaii=;djKuMsGhOrAGY_eDXyG:kb<AFUES<YB\\aRkeDTgIqmYJ=W?sy`iE[orIKbMsbBIc`QdZyu>arsusP[SSsyEwSJ?EmkCO;EKYyoch?uxiyT`qef;YEaiq=BdAH@sGdhnEep>YpMtXPeoaxnF^kyflq^a`NnfG\\F^f`_rHnu]@yj?]DOnyWkYIeii]:PaFPs>wj?ir_^bsqaSNkSHbwxeWhwswWR>]TOiUk]HFuSIubOAEWmTZ]DfIs<OCFswW;b>GT^[iHOR`eHu=ubwUYoy=Ge?eurgEtsFXygrYiPisuidbUhb_I>;YiAB@KVjig^SgPmgB]dFeFEKgDsckUYk=CxKgtuxxefqUV\\WcbwxH;VB_Crgd^;IfkCI=RBwdLEwkcXB;DKETNswD?IhuB>iirui\\gISsu_GwhseXYI:GvlCEvQrP=uXCtv?YWQf_Sst;UT]y>uRQsTbwikaYyOuwAYq]yo=GrCdU;f:urgmtWsyXeDvAcGQgIqSkIsRkgIChW?B:EBqqT?;B^[K:`Z:>L;JLZ:>Z^J:JB?:MZ:ORJZJB?:B^<Z^:^><rFHUpEJgQUwpVgAShuT]HtrffQPiyGZ^^[@nnSagH@uPfoTGq<YuD>^[?`rWtMYt]`psNgi>ZdhnYnZ:>^[k[=`g`^movg>cFHurHfwg^Eh[QX\\G^\\yVmsFeuXgX?pli]fv]:^^FponQnbi_XoftIub_csA_JIrfVf_OhlOhMqnGgrM^Zyq\\IWtPQZ;>ogfo^^xovinolRNrbOZ:`jKInsVxP^jyg]F`sV@^iIub_cvyu>afShg\\fggHiEipGxqhou>fmgi[:>]fHrnPl>Ys<as`xjFquLfr]V\\Ey_SIu\\>ipXy`vk\\ixCYiphv`a\\qi]cvqqNyJGakFldWyBPgWNrkIv=AoOY^kaw>qpGN^CprK`rvDLkRKEiXetNGeM[XVMs@Eb]wC?eXn_yvwDduhaEs:]f=UR`]UB[ra_sESDSOvmQBZCVnUUqGTjKHF=BoOGbUIRqgpoFbIwfidBSX:EsccYk<SRdYO=tXIPKMngenpPkQAPiUMePUxARNtnGdQqDJ@mUGus_DseAmSyjdDjXpPK`Li@UuhYEUoWAxdeWDHSAYkvxn:<MSdPdXrBaWuAk@mNXhOheNCxsOMpnpw`LTNtoIUUeUUVDLDxXKAVeTPlQo_LKt@T^ms\\PY=<Vn\\S@dVLawsXxePqgYTmQvoUkP`OUlxU@Ss@nPEpOYWPqPUhsbqsaEts`NCpOVHT_mRtLWN\\sLHua\\pWYSoeXZ<yJqpvQNnXykqG=SfIV:OCyMstATvubyKVhigDuh\\Obyke:Ktc=FmIu\\IdSWd;;HN[NCQuEHk[DQydZB?]=Wbp@Z:F[=HjSgplgrjxxpHZ:OrZpeTfk@hm:>j>Hb?atX?ZJQluxp=>ZLn:@P:N<<b;BL<J:KJ:<<Lu]Qo[YRZmxVwjtgyapNGwcIw[EUOiTesTrAs;;SRSv\\=YieBlOYGQu[Eu>?WOEBbqePMD:;R<AJB=M:F;<^:Z:>BKYbmsvLuwmpWIUlqni<UHExE]Ki@VuPryHVVAubev]yY?twWAoxHk:TrbpXQYrRAq[eYNMU>UrKAJgqlJImuYXB`pops=qqk@J]`VnTUCMjLiNmPV]]oDem>qx`mwM<JRDr>HLP<YCPoiAW^aRHewqERgEYUuOWQpDiqFYwPMplTjgxKbDqWEkq]n`DLdTpoyn@XoD<P@pJVQSLdMauVX<XaXS>QxOqyChNNHMhDUY<lsps=MU;MtPqXG\\VUTt;ENkPlSXLbeN;<MqajKqWk<TCEpKYklxVNPsm`qgEMBqPp`YKeoy<JLlRipKdUkEqmFYNTqKDanvXV_IVI=MW\\mvXJ:TnP@PLdlpiyV=S`mjRloPMlFilfEuNdvEMJ:uJ@hxVMlLhNYEXM`YAtT`AmRlmexO^LmILU`=nlylODM@yS<<JwmTeQQF`X[@MOPmWapxxLi\\NmIuFqJKPyqPln`U=QvgQo=uLA`qXpmgtTLuVI=j;QmFlY?xVIimyer_ulPMprpv?YwPd_fPo_H\\d@xGNwyhteotpVmGIwcIwtyg<?qdXoPoobPw]iukMgaPYlYZhO;yKHuV?mRohrq=y]lvx`N:<RoaNF<J:K^BZBBRWeslWC@OrdiHeeW<;BLkBOMeTOelGC]qVOQKVuT@<lj<wsEV]uNFhl@Un[uN:LL@<TkdpQ<rB<tMYL:<ljb>:KL:ZBK:JbXl[Mq\\qlUTUJYWGpR=ith@J@qO[]JThs`xxFpMkeXp=jkiSRDjcIwcuWUFbgiZ:gjnYr:>Z^B:>:B:B^<J:JJIqSmX;\\xHYYXiXPhm:<SR<ROpLgDU`uN:L\\ZdE_b<SvFuIF<j>B^<:>BJ:<>oETWHiERnyT`MvlYcowW;OejeIF;E:]iRAi[eY\\kD>yrn]inocQKBJEIo=Ej;V\\EBZCV:cIICE?cgaCxKGvj]yYax>Cc_aRMSWFEBtAReCCnQSmQvoEcksrvKyb?HI]R_]Y\\OB]ku^Idb]SCYc`CeMgvgsFTkc@KteCCFwf?USPgTuug=CC=KYuicGwIFoiwGx\\sY\\wcGcFcyDlUYp;V\\wHqKbP?HZwhDwcCKDoKCoUUw;bHGwAGBwqfU[BZCN^]\\W@tDOZwq\\iIwSfkCwaOpgqFkXhcfF^WAsL_qV>jx>mFniwofIimYgdU_gmQvoglqobG`OTufmPaxnahqg]x<=xshOxqOnXykWtiXZ:gjdhywP[EYgg`^:>boa^F>:>::[N:<RWeKSixjlTg`U[auy<JJ@Pd`tb]PvHV:<^b@mTY[:>]PNy[?Z:N<;BB<J:J:C:BZBBRW_slWCZ=vPugSUWa;Bw?tb]H@cXwOSCSBdEfSaWTIC:ehPegVEH:yTQ?HZoG`wfagw>;f<UbwWu@_b;Uu@ehDuY:gXC?B]wR<AfMSfQefy;ut_R:CC=khTChdcYowLdhvfeT:<R<WnhOxHGxAhZMvx\\gZ@VqgiyYIs:C=SW_CemsW;<Y]qjoiWGAuPaxsUpq=pV@yttpVEyhttMHpGxLUpPgMkItJDLK<AW\\qOYUodhVpEorUVuupMhYjAVnML@MnniWS=MAyNbPoRqkPXTxLKn=PEAuPpk?tJAivy=twQyQ\\ww@YC]MYYSKAyFIlKAyj]S\\MvnaqkIPgtNh<oHDw`mxraxSXOPqwA\\sAPK@mP[]nExvZInlTUxALoLsfIjb=NmLW^mMWxN@mrE`y>qUG]lwIkCQv=iNeHJdDmwdQVES_\\RuHYQ<MHPQFplsYNfukBPmmlNlPUqLx``SNqk^itv]rausfMQcUOnaLv@T`YpKYoAytvTX<PPU]TvQwF@jpPOxMym=yXiSmmRqio[DmmxpohXcao=\\krMrBulqiJo\\MCPLtTP<`LAijDMoIMkY=OiIuPXwSxLdPSHquIYreaxIXY`elr]yJlPK]NN\\MOpN`ind`OL_`JpomA_sQbSXpaode`[pW`;PsOIxVOllif^_iDaxVg]NhpcQeGpafofXY[Ovo:gcdX_lVi]nb]VnkIxDhynYp_OsLf^Dwcen]dyiPgbSh`fFit?c;qcjohC^krg]@gpOI^=GpTfehxfWn`m`iwxpf@dlw`P^hCa_sq_>Ya:_naw_biiS@oQPsf@rBYwdOeJgkKx`u_dCIlxgxr?cGV\\:OaUppuIkDYu[>j>Ht@GqUvgx>]ZQmNxaMonmhxfHfqYk\\ap[Ack`i<VwZ@yfvmdQsypdtIoHNaw^hp@rr?tcagmVqVYc:At^^knwtAphIoegIw[niIwcfG_XOhUWwSHqbPyVPlM_iDNfQhgjaliht:>]iPaF@ouXb`I^rous^\\gqlWHx_a\\QnuWo\\FIx_yfpwZcnaQYnvQi`o_dhvlyZUGgK?t=W`mo\\SXnua[A>dEXZ[@nFOmwvhxgdqhidoevpgKQl_guffoHvb[q_HIdfgxThpGqfmNqmIevHmv@v<@ccyfmvfCaqdObYn_W?\\v?gUoiKNuwAiQxmxFpEGZtqxEqdOGxWpyGWhigddVaRp_ho^Iaip@i^ov^?ZFfZCV^SWikFvthd:>`tG[]?p_XqfGZ:VnS@`RN[epdh@odHqH>ZCVZpVgnN]pOZ:N<erNqUFWe\\YI<yx\\]v>Mw`Ih?yHxGeBeeaaU`qIiYbWQflSwSqobhvXMJCTJbHTv@WsuRrQS@mvOhjcYKLyvGqmhdouqpliWgET`]LbQxx]x_yxL<SR<RlAunxKQiJcEUPlTlTYilP[xWEawaiLAYqc`jJDOJ@P:pPHhSEXkG`qPPjDYOmLuwHYRERWlYSHl?Ty^dQ_uPeIU`UueDu\\PPUHUOeN>PKF\\NF<n?EjTQpV@OY=lnXm?ML_`T`EvQ=XyeunUT<mvBW[NQx?wg_fjnovFhufGdsidDwwIq_YAaJ@`:p[IpdEo\\yfgOPa_YccHtuxnWAfE?whvgcW_X?`RWuSiZj^\\?`e;g[;_qrIkeawoPku^[pXejhlyxqWg^[`nTQ`oVh=OqVQnxhfiv`knfjyqWghuXxS^tPAbhaiPyvXpmcylbviP>gXwkApgH?yfWwV^tC`yHV\\w?ioqqW`wTQ`o`ryf_Whdx?`lnZuwvmF[=NgW@`:njnFfbg^;>Zdx^[?Z:N<;BB=M:Hx^QYR\\xCQwoTWemq@hk@URadV:DK=HvMaWpTWupWepTh@x@DJB=MFToTqmJHopQJZPUtIf:^>;gBMy<Cv:SrW?H`asU=T=ir`msXmYSgITAGbiEQGd@kRgCVN=UdsrQ?hkUrtQsQAhvQH]GG?ecHkc^Wgw[tXCh]QxCYI_kb;KWHuSIMwXmip]YbgITshhoCiEgTkWB]Yr_StOTEEBF;t:QwjKr]eyrIDy=HVky_iSM?eZcyfEe?ehOurJoYg_rDaVhOgd]CtEDlKSHEu_iuUIB@oiHSV]qboIRC]Ei]UbkEHucF]G[kURydY]TUEW]KewMvHqVK_r\\OxPEcvWfgQvUcWAeS=CcuGTAyW\\ges[eXwX^mXTEx`Ag=AB^[cpKbBMVZWy?eXySiFCTOESSsGKStkEFXAGJ=D`KCHWyADLUMpTTnuiwGaSx=J=imjLUplObeYRdQgetyYuWeLhajbupE`L:Awa\\k\\Qk;`RuujqmW^dLahKaATnINf@kT<rBlNF`sjDlsaoqhWFtkKYLg`N]IMvpRfXUC<N[]x]\\S>hY^TrKHmkQNT@NxdV`]McEqbPlSin]qsPLQumXJmXP\\vCPPm`kpmvJPO:HnvijILs<IumuvQeXUyn`ireqLgDeG_nBWewpfgWpSakhaiPf`yyfPoc^imgNlqVc`wmJqpt?]>v]TqlY_jpwaXivaxcfa=OD_mYSQYK]YAwicMD@SbC=E=Ayw[dj;BCSfvyCxWIYGB:ctM?H:;bdIiiCCwYhdevDcGb=BLkBNEgKAWRIC:KLb@mTYK:Hp\\xM@>b<AZ:^>;:<C;R<<JB?:C;BC>:>L;BZ]xrWxScVgoUm@Wi=V]HtjUYp<JCTj;<WpTm]PqcUoPm_wiZJ@`R>mcIwcIlVq_ox\\:ftLy[=>ZJ\\[?`:pdLHamq\\f_ujpqrOjj?nZOpPX[cnel_n=hjnwq;@ZZBoWsYCc^=thEXX?eRMEbqu^av^qfGUeDwFBkygke`gg?KBJuYTESbyRxAwfCH>Gt>;BCSfwCVUgRjyWNAYKccS?co?W^wFEYelKefcuTKTleYlsU_CHVGixCe]=BZ]WG;iO_Fd]fBsB<wiFqVE_r^EtrarnIY=IwRUDYMRsIYEktakIjkIOWDMCgpwcbot[[EYkIFOUwKDIqSfUuZKdb]EC]sE;b>Gt@Odw=Fd[wdCTCuIFObSMrJYHHCx\\CDTKH]QRZkI_mUR?sNseQ;BCSV:ahM]xS=e=KSHEWqEBB=E=QsCGF=gTVoHnau>;djkbXehaGfPwgTCEmQSNObDOc>UGCwwX;b>GHnCV\\kuAKFikU^ixnaKi]PlhViQklYTH@mv`oJ=t?PNmmLSXJZ]tD<kZ`RVhQqmYOupwMWX]qhEtLhVhMNoLlPuoSUEGtWws\\WXCMHesFlqsPCsUgFmwSbUiQOwdqRjIfgEy?=WqYvWmYtarxgBbYuiSUiKciAxqcS<Af=abkkbYYrXoFFgbAyEaYH@[Th=bCSrWYu[=xTcc@>`\\_^F>]vftx?j>HrRWeoPh?PpJR<AfDMWlIBJ?HboeTYC:Ksmuxp=B:Mr:<c:>ZCV:;djZ:[J@`:>jtFh?i_bInqaqea_uZvan<glPf_Sofa>ZLnjY`db@meao=N\\@xM;BbOdXoe:;b><:;JCBZ>ZB?]:>j>LJ:<<\\>J^B::D;;dgmdW=tESgQagoWDRCSGoR]QcEqGowElcsXWIy=wPIYdMWd]BpaynaxnAhfiw[EUOAW?wTg_U[CVNqSmGunWDRCHWayPacCGvDwUKIhJAXOSYSGCcoyumITYu=Qx[CwxATSMrJSgKMxOOhrEwSkX]wSBAcOCbnad>GB]QfUOIvivEydUIb:UUnax>GxtkSgawIqgUsEmmvg;EDwYcwiCicUktAsRpkY;MgoOYGQu`Uhcgd>OU_UchmicIvAMYOQsOkYhKCFcuHICYqtCgGGMi=MuDMH>UwYcdESRNyC][yPyXvsgt[C:Kdo=EPAdhISR<mkHX=QYe=S_LObIwStkMhMvHxgesX\\SVmy_LtstXJumEIsCIsb=YMqnGeOalWsdSuXT<dXxLNI]yndLyAtohxm<UCQynyyQYqyTkd<O]LYwXluATTqt[UL`eTuqSqXqCewHquhYuYujiiW\\tJ>HW]Xv^=LYMmrEJFLo@@NwYwWyp]@qDtU_holLVjhjquoEXsX=uhPrGlKqDovUKSulmxKcDp:PQR]qnak\\yQu@WVXwNmJUMwqAWGtjwiSSlr\\QXupUy=K<xYuTuEDxsPn[QKI=UDtTfTXCivYeqmhoE]Tc]jlToeLL=IxyUtM\\NPXLG]ms@X@aUkuyjuthaoOEtLxxuTt_yWfevSENk]jWHq\\EYydogeW?umI@sEXKEPq?PrX]LQhMUhteisHtQDdtPQt>HugXm?lrauKAXShTPwTVEioELx>]T@yNd<P\\iSXdVtdT>XkDuSPxpV@WRukGLP]]R`eU?@YKumdUjFyMVpUyqrPxW=pkPUqZho[hvLQuT@qgHsdtuUdWOlLoDPRipWhteiWehtqqpuixCxO[`yLQv?my>o`N@cO^pUN`>Yk;g\\=ff<vbyoi]WSacQci_sVFOCvoWDgiDshtOxlKbxiFFOyvuWmSYeuxyeYNAGJuvJGFX]CKex@uYHOuUQy_gwr[HnWiG>dhB]EdjKYWyCscESWypIrLwFRKcJGFX]tvAHcoWi?I:QVx]s]ERysSUIwLqXWmYfKDSYhgwsVMfSsGioufwtKkirEyo=wHYfeoFw=CSkX<ATNWGw=y;OwoycXERMCSCydXSrmESdMTVmxuoC]CDlKIBOfCGu]giPcIOwXHmSugy=OHQkIKOwyaUlitEYcqaxFor^weDutm]RIqFP?dh_DckUH;HTcvDEr>ciu_R>Ey][sbmrPWgWqtpkCpoC]gV[EHJgHcqfr_weIvkAWVIyfoWwSYWIyFOikuvmoIbYxHIwxyXiSxHIVoyIKMFTURqmIeYrDSimIE:cYgWrjobn_hWwg>;BkQE<SWB_b;;HxOYn]V_oC=CC=;bdiVXqE[obyQTyUFLYtmoWnax^oW<wwr=xk_w`ECtMYp_HnUIa=itMSHSytyc[uSIIUx]DZ]ErgUdcGE_BuCbdESRciL[vxsbt]tdYBcuFbsfmaSGeSSYpd`jk\\MTdk@hm:Tv`]JDIWumudPSRdXapx<lrJPk\\<kmmOC<Z<MLBJB^<J:JB?:C;BC>:>L;j>BJ:;<KhGQCxYUx_YsgE;;BN=WlAe]mckwD:;bdeyy=rbKu`[bQws[sE:;B:;RLEdMCde?DR?>:::1:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlXXJGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiU/akYqLSUpQ0hJTERSRU5HNiI=Figura 1 Optimization Assistant aplicado no exemplo1
Ap\303\263s a obten\303\247\303\243o da solu\303\247\303\243o apresentada na Figura 1, pressionando o bot\303\243o Plot na parte inferior do Optimization Assistant leva as Figuras 2(a) and 2(b).
MFNWtKUb<ob<R=MDLCdNNZdK;HQ>D:;BFMEdq]ZRLCTJcDXoHuut;;D?IhxyVHoCAgwfAWF?d`GWP_RGUh_?E]GfcKbD?ujgbNUTwEsuuGsuGsuYMqeicCekXf?fZuckwfRQVCGTKAEjGbOWD_qcp=XqwySqImWiA;gb=GYyGQWXiuXpmXp?HygywUxGyx[afiyG]KC]wixSbkwBS=vDeYryuX;UTAvgYsiSyr=FIuCNmv^suRYr=WXl=gFibFmF^MRBiFQET`MR:Ps<YJhDJZPT:qKrpZOPZaIrpA`HofeGkry[s_mvHl]`[sW[NivjF^iwcxg]dVvyfn<FxsGhBFiDfjwFdcvjDo_FaiiHaWWlahtPo^hfquvx\\vsLhohir;ni`weMxkivqLykJiniNxaflrQ^yFnGn]<gg`vxNFwlGrWYZNo\\`>iQQZNo[JIPWEhAUBYr]aG]IsEEypub\\OTgQevEbhugP;FUmY]GHMwc\\_YuyViyhO?wm?fJwYdsyo_wlkWRQrMyIZ_sEIw_MvCwh^?EKkBgKX\\selCb`WSJWR^]X[oXiuScOWAEEVI?;BNuDNGsdUtMYRwIUP]Gi_xOQtPGgFCivCGoMU<QcOEYA]w;gYt[uYMXk?xWGGasykkgKsUOWhNIykQrE;gxUXh?xTEgiGcBSuLOtvCXqUdQwFpCY\\[w_Iw_IU<IXX[EI=wXoFH_GuAV;OV?gd\\QElYdf_vV?cved[;tN>jdfdYp[Hn_<>nLOtMY]Mxn?Xx[IwCIkOWo?n_lOvLo[u_l\\vnMiddIsKNqdfx:oeH_d@?eH?]l`vC^c`ptlv\\[Wa>Ii\\Pr\\GgJVtM?yhV_<oqryemVkYy]`ivcQhDfpQpe@oyG@q<VqD?t>h\\Wo_QHoFavOodda\\rAt>Y\\nGmZWcPvkZNsKOpfOhOHvlv[OHtWpcrhJ;BbOsxCDhCBZOdbCDXodLcd^?dE=hTOirsD\\ATksyXkrKKvmECi[V?OrIuBsyU`KUkErCygAqslksc;hV?xMwvKQdL]VikRawcs?iHAEoMuHOeACFveCsqBDUIuAYc[Cd;GPUDa?ELgSX]tUAfd]F@qGQsTdIfLoPZPp:xPgBbOX]ebHobBCULKC^ICNGVAEbDed<]dOuT^YslCVGEEA_UlwvTWb=ef?_y<IuMOb?yx<mCdwwAGX[sv]yWRQDfsH?WR_OeO_b=IHAGYQ[U^QvWwW?Qdh;Hm?B:;B:;vpIrEarG_Y<YyYGHGKUpKxfOuTwrGmIosVGghN?dbWfNCvL]TV=cDQCrecCOxm=Tw?FwUSDIvKmSnwxDagCItVgGLsfM;wM;Ts;XZUg:xR?<T?<MSYtqYuxythhsX`YcQoOiTR=rClQy\\UStOsAqLERuLk`]tldX@\\LAekmLXHPVDMYlYwWmk\\Qp\\QNueq`tmxMPUDNEak_uv_ho?qN^MXZPlFuS^ux<exrIsT@q>DXx\\OSMXvyY>uplyyt=m^dKEyW:Ml\\aXKUtwdL?IU@lvrJ:\\uP]SyEqchxyxUtmPiek=Put`wQampXo<DODTRZpKA@x<lNThWEAO\\aLg\\p_PsTlSZtTkuOMDTShJp\\XgtWaYmkuyVXpamRTmOipQW\\j`dN\\hT?moEaNJxNy<xciNr\\yT`R@dLyHYQqU[ASR@PbxnbXQ?QN`doOHM=AMy>cDB:[uh=ImYxvSUogrXkEBYrMSYDkHNud:MchKc`cbZOCL]IZCVHACaMDbgSbKrC_y_MDVEY>OSFmeXmxECIgSeBchsUY[OTaKXOyR`SG=ue:<Z:>d=xu@Y[fo_uoapax^QkEFqLP^xgkjVkMX\\Oyfc@yg>lb@c_P^sPk`he;w]DWsHGoFv_Cgc`VlAHhj_`ZxC<J:LW?dYPPQVmxe`RuLX?eJVENiyMeQOcDxhUYiEskXRvqV;PMWMNCplClRWEkDej_ulEynWur\\YruejD`UL@QoELsLWL`jfeVcYpOINCXkODTf`pi`mpxVw<Kqy;<JOaJoqJFpxeay^ip?YtDpYWITxEs:pwi\\PVtyqQjgUWh`SwAoLhlUDtaimAmKyXxViXoDPmtmyqKEtk:ux^lT]XOQYq[tPXyK[PnqxJ_iYKemeaoSeKb`N<XJImSH\\qmPyqX<KWIOyfcvDSCJwbCWGk=iDUSeiRHOxeax>CUYuYjAY^aXP[yviILge=?d^GR_Sfh=RIoy>WIsMDgIuYCXHYGYaY:yd[YbeIvl]F]?RY_eQKHsUxkaDVoul]VU]XyUBc]WoLR[\\mNER`lr\\QxNENbuu>lk]TK[\\Vcakv]JqYTPmmIXWtpqyTrPynPaUdUQyqv]mvtiWWmtJdSutteUkpat`ejuIk?lUxEVUyTeqMhdo<XqmUOdayEySdQYSXUETjuAOkuN;IUMqkwmUWYYrhWaEYHpVhqO<eVpPJdeM:yNK<Xw<xhUYi@sWPNdyr`<XHQt<iU@dy?DvHqRidyMeySYOf@VEMUCIlYeX^aOHeSKLV`<L@aqGUVYPWaMsd`uxiSspybUuGxx:pmmpqhMQT=SZTpwawfuuvHT?iKWilFqxBIqm`PbpYOpmOiobXxitQcXM;@YYDtxaQvDqbqpV]jDyU\\BbWTdYh>ivj=VMGcBATAIc]CyEyVPYcTSffeWj[yo]rsOCp]g]yYBkS==sSmDJiiYUrCsyZWGsOxoafLWRucBH_x:AUBmrCIEEQrDkUbAYcIGBoScYFf_ub;GHAD;Ub@?C_mW:WIO[xVsulUu]uh\\QSPgraGu>gbyKDYYiReceagSeCjucHeCIeRVmby;V:<nT@nbuuIutPdS_xtn<MkDtyIKo=WLAluDknaofYWxEQ>Ik>mw^uYh]LFqpnqtC\\MqPwfXYSDxtPrWptSILMuUSiNUMV@eKlxYlukr`u]iKuYueasYxTspjRQV=Ioe]yItV\\]L\\aoddlpUOdaoSeKZ<QmYSypOUmpCltw]ugxxKhlIxpKlTqHY\\@niypXYweHjZlJ:NwbTEMcsAFgaY@wSXuUPcwXQRNsVwIfCKS;ob]wu[yVr_WUeDjaTYqb]uIZwxGYFVIiccRJqf\\]VwsDycxMWXukycqdxcrkksFEefSRbKDOayvUC]qwa]uFCYpqCVcuVevHyTqmHleITkUfkCYge:=y_YfaoiguGnaiqaxeQhryYa;yKKhqoueEysuFxetcgHpWTwYBuMTiMDFWDDSGdUYvMx;_Vq[iZUwuQggUbtKSq;evygTybOuiUOvxUsTKTOWc=;YBEhDKcZ]CEqbomT^gg_oxBuIrIvtoehuhXAwCEsJmGWGX_QsjYHyoib=Fmmf_ESiiUDwstoeA_hXYF_gEXKDA]HiaeRGYdyi[[yw]i]Gx=wdmoH?cINmyB_W?cwfsy\\[dygdsmxRIdTuXQURrgxYihfMSoCwtyg@<JJeWo<wXhWVXpfHRVYWNTjxXwwux=HJWyUJQXaenounBTLldP^YNc\\lC\\TdIjoYvmImlPsFaXmYxElsgXqJYUW]nxYwnauO\\judmDtXD@qNAVvMmNPNgxRYtYI`Q`uuuDMhavsxvmiVgtS?iTn<UeAyWaXjAl`MlHlvA=sndTk`P`lKZiO]=qMDK@hvMEP@yRNitc]kMYMP`ybdpAYXPytTYj\\pv;XwQhtUhLFpWpanBDofTVsDSd`q_qtXQqTAyoQmmdxVdQshvpxNi]xkash]XLMUl`uuuYsxL_QqTIUCXkZqVeDYGEWchxlMLHPVrayJXUIaPcurTyt`qnsqL;upMesJmJY<yNXy[Lnk@qJDQD=ySam_mSHiv\\yQRxKtTUrxVEit?tUKySMplutquAnjUuD]sauL]yQRTqryKlMVh`KuPsjHRxqLALq?ISnaQiYWcDSIiscyLWHNwPkomWUXMpEXahnx\\oCuwEyne\\okhSyuk^PyQqWayufUmBYoiuvVAwKtsvQxLYYQdmGMuBLWf`wRIQ=QR`ItidUbYYMemoxuPuxD<qaAYY`n`hldhnAYopypmqWbAy;qmlItgxrqmvs]LWQupmTvePnuw@]tmYtnUUaQxiqnomxNxuKUxHhrx=rQ=J:ew;EvhiOQuvTts[XvsXXuMyG@PVXqG\\pSqPMun>ET_\\naLRXENGilXepKLYNAYB]STyyHprI\\L`ey:uWRIlX<LwYq^`pNIJpTsbHVALLxtoY]m_UWuQv[`niqmRdXAtqpUyuyMy@PUml_EjI@ngDYrdXUMTLuUkUo;<oDyUXMy;ynWipeIo[HuuMyoaLFTs@hXlisrIuquwipNftMWXWpixXHP<EmylugQp_UYwxRNHLDyOpaLw`YvEVuIkLXsIPYBXQTaKF<uuHsoATciKW`tUuwc\\W[pkhTPQ]WJqn>xsUYWrARc`msTTSajxeQVISSUTIavXlRGdmxmwfmpOXWaEyQDnviovHSPEPT]ykqWmiVYQVGiS;eQ@tvoiuNuYwURqxs=lvTDQYdW=duG>n@NmbNcsPl\\_w_isUHd?As;_mRvsPxyh^uoHsuquAhyYViPHnOi]eOkx_caiohp^Hg_IhvbXbvphOhunW_Iwm\\AuaPve^ta_lk_a>x_Awcg`ucGqcidmPsHG\\_I_hvvmNuaahPi^VawcQju_nH`wHyoiNhip`]yltxukQwexnyV^eiyhqvvH_kfYqSZ=WRIeXQWZeYOWGyawUaixgu?qewycquBwqcUWCeySZwhqAfIYiBsbxWuhIhAcdp[XMufYYR?iuYKTxeIYstNmwSydwub<]EW;g;?rgCYqmvSgY=wefkDCcTw[b_[F^Ss]At=ef^QDWuxCEyoYw^?H\\SHt_WjerbkhZ[g]cTh=Y`gv]qcAytxIVjOYuaXxiX;ieb[iHoXPwYKKsUQwqqgnshRwvHMXwYSYOdXqB@uiOWDl_GbwBYAyuuBT=yQgDTASJySsww:;BZod<yykwVn[uCygfquYIX^uTOSgIEDdsXX[urUSH=SoWyS;rS;t:eykYdqqhQEd:MXPWYUqwmQRgmWG]r:?DAOtAOtQqfjQEd=UCsbLquGcfJAD\\sIw;gMMX=KrEorUkiA]U[YXZAyWas?[y]eULKXx;SGoGeqgRovgIR[ee=ydDatmgg^IedAXtmwFEbLguriCWuSuSSe?vkMiaYtEsEvMwh?UCmdAEE?ueaoGMktq=BqMB:cHV[UcEge_s;yRruvmMWDEwoCyoqF^ytowX=?uQiCqQWjCv]MRneRUmdeKwMMSgmr[[SnufM_YQGiawSHyBsEyEsRlCWBWDkWttCiwUGsQTWWFbyenQE[[XKOVHiGGai:OYpsDtgRqUHuswNWyukuhyTs=x=[W_glbaTj=vCElTdVoTrHuvitWFmwHYqUHnwtPq]XxQJ@@QSXNdttYMq\\upDLp_YtO\\QZPvBlJO@WaiWxXpaXphDNyyJDEniIo`AjnqL:XM?pmuTkxmUiyx>uU_yVwIxYTNaEUKqxOhvOQVlqvwljVpqvmqIUjbXRHUTO\\Q]PO=PKHQP<dYxdM`IvKPWJiOdlosPj<<oKIr]]lSloPIuihWKIoSTNqXUGlWNmxC=q]Hx=dxlIm;YVo]wsPo;esuaTn`W_eOYxpahmtpLlLsUXW>pMouWaA:OedoqjmkLls^IraaOM\\jatrkmYWMYo<MtQKW]wTaqIQkxmU]Ay]ARwIlyUTS\\P[MPKyk?UUPHK<MTJAnHuNpENVmvlDO]umvAqKEpKYMWxpqLxKuNh`QatrphK[XyWpsKLk\\aPXUNgqOOMx?qmLxsuDxkMJUakbAxDas<xs=@uHMoqeQ_Mr:qxiyYAmywMSKxlhijMmUMYuYmnYTwkimRdQdinueMoQOqiVOYkh=MUEQWXsGanexjh\\wpAkieqQaRDTNAyKfIUVxkpmVNaSj=rMatvyT_lX>Tvo`TKINFxSdTkudNGlMYYx<]t;HOa<olqJQ]sGipg`ttmxditeQTTIn]XY?qnu`nQytHYMrXp<\\l]`ukAyuTvgyQVdwREWGEUHIU=<J:PMeXQGDqmuNylLS]pmUJlmlPwo@Wqgx`[O`lGaEpp_plQWfZFwJaiKn[JNqpvgmvo=gqCygI^vnabV`tkI\\\\aoN_cxf_uYijy]\\>b?yspPlgOt@XixVysHufXqjPpcIy[i[sHxxNkP?yfF[sVmph\\`nmLavfvliieYg_vX^]YaNAsS>bPYaIhmQptoAwmAnN?qq?jn_\\GalVFhefeuHch`eMOdSwoiGk[gm<Wx^xx:FfBYtsAdNGpSgaMohAOrJn\\QwlkijwvrQnxrgpiwhwggQYiLokoxZ^QxY`amfoS`i>Yq<ncdyoRn`tfcqwtVwy[Wskf`r?quve_AehOuS^oewnYNnaFyjy\\;OfSAZsOjfGaUWcPqwQx`w?yVy[FAl;xsPyo=nmApw>>ZbhrdYpFIrE>dliwfVvVocYybtXgsXhxy\\?Wqxxbvx`gvycnusp_yFwY_h;PiCvmuixF`rBiry?aQFvQ_wn?kshpKxlaNx<Acn_efV_:oeoAuQFiLimsOcW_nLvdbOZAiq^VqQQk<WlvWwAxaG`fAFw]gmwpnWgv@Yk\\XpXAwyAnKqZa`_H?xr_sSAkSypGAkkfb]^x?hjcGigvebfrvGv=yvV@o]@pQwxjP^CypCImnQsHwu<qc?qiXfvo^cLgbXnbLGs=ikVPxJigLniphxuFaXox>fwXndjoaFh_]AiunnZY[DWiwOi[qmIgudnpUFacx_Px\\y`uKydTXyki[TfdXi\\=qgHa\\eYmKG\\FgvPV`cYcPopWp]vY`s?yvXddxmV_jY>oE@dLIoRyqvhoY_nNvqVIcvN[dIx@W\\hi[tA\\?Ie`XbUHdaPdfvqb>oINoaNx:Hpo>ZZpx:yx;q_GNFeXVIiCUTf?wQghBivbwH`YVDGRy?vlig_SYxwtPAwlqRvabPOV^Ax@mI;KbGQcmyvCedoCckIyucbr[Y;=CKIxfeTQCF]we<uueWw=oY<=iraEqQYEuHaAGH=HrwsKifEEgxwFQIRjccpkXxkYq?usmWRivvcuIYbWSXuOcmwSZsch;sMafg=ESir>eg>qFsgh`kRNEYtMEkMcA?TRuUaGWPYgxwXPwt^YT`gWA_iXGwmIwtOvXwGrQie[t`]RIwT`AYvmGnwvtwSdaScieYIur_b`kROSckOD_YG@AD@GSwGUnQYcaSGCIKgitmehIy`aC_MgWcYbMscEf^evUIUxiRjAGqUWsuRkiEoQDD=yYwVcwyoaeo;fT?rCGvT;Bd;TYoC[]wMYtE_ysudVsyg_HuSsegd^UhtOIyYSKqVeCY^QSKSCrywLwePEuJKCNGEn_wNIdLyuymv_wfe_t>]TfEES=DvsWwgiKsT<YUhUBDAyZsR`sE[WRnEcWsbQsGwcIvwW`gxRYs=AvmYU=[uyUtfYHtqEmYv:oD>WIUIItqiJmFQkXEueuKt=KUjYX^ieI_rO_tQWWHqGuWHtSVuogO;cNYv_MtjyEYEiAoXGsiLYs=UhiGRE]S`[WNuFdivmKi\\uhQkiHywQWivwivcfuOBcQX]ywcyx^qUiWEtCGxYxe=BhyetqwHcyOSFV_t>Iu=Mi\\=s>gCpitfwDHatjYrdgSMKXM]SrAXYoWbCDEixrav[wtioThgeIwrkQxT]hyyVOguSCWnEDJeFpoyL;buAwHOFX;GtufAIwMMt[;IdagWmFseFvMgeybvgi;yBxcvv]HTEhb?rtyiyGD@cdrWTaWISSrNCVJIWiQcVIYoYrbmgjsuGuUhYRE?GFORHOf`qyb;bv=Hdwv][iNWYjub@ouBsXpMUDidQgytQciyGm_SNUgjstNIu]]RkwIM=wgwtwwIy=eY=IwsX`UyC]SHmGVQIl?vxYiFOWxYtqeyDKGhycLegt]RQuvqMc?ERlEYgwyxWFtOu^OEjsXyWfiuI?yu>YwByVXMbrqXWyDY]YaUFGIUBeXDiDtgif[XW_W[EfcwS\\gwLUvOqRXuwCEwT[whQcseeTWwo]wLoYMOhXOIMUFbsTioUIsr]iUEyXFITIgrXetDahmOfE?TSggTYfVAySUJ:dtYMYHIxxDuehjAUr`pn:TPpqx?QjwDs^ywiiYIYr_tJyMLcdTbtrm`LpelDtuv=wT]U@YQMQVaXraXxmlk=UQrPRULXNTkTmpf@qntqj`wriPa=uktNxmydLvDETcXKs\\Mb@w^LQuYmFumG\\YJ=naLxkINVIW<Ammax:Qlq@KsQltyNfInOlj_]mCXOM\\MvejreqVEoA@tEhlWas_<YmiLiysYLlbYxxhjillnhjHeK:<JJpSIYJhLJZ`UtaxJYta@v_\\jj@M:yo\\Ly^ypPPK`UPq]xCyWdDR?mN^us<uLqAY\\PplDRGPYdlmZLMhaNEa]NFaNOplIqrAb:@cj`lsfrsh`<HyQa^soyYau>>ZTOju?i\\wgRpc:B:[F>qE?\\lyqkOmrsLkVmMXlNHXlvHM>Ao=MJwMV>Ulb@VHTLbYLCpkopSkdpAEmlisOHQsuKXunMXLALSw`QKEWStQ<pT>mlsQSByWo<Mh`NwdTlQN^DWLDqMTOVIsm\\Mi<SsDXytSKPxjLOMEmI]l^@J:<JJeTjDY;XwJ<n<\\lPPQVer?mN\\HyVmOKeY\\ESlIQOLO?AsC`VeDoCiNLtnbHR?MOOdPb@WIeOeTOomlPHqNMl^IMNxuF@XcLtALr\\LrLaT`avsUuCIKHIm>mulmjm\\Lj@nwdQrlscLUqeQ_`ke]y`tsUtYJiPXHPqTTO<n`\\qgLrUpL:<JbPJVXsmeLnLWCivWmR_`mAxXC`wEuODySQ`N<dV=mOP\\xYxj:en\\pw>QJ?QX\\QpfpQEQSsXW>XOU=Khmy^iJh`ldyoVeNFdYlenH]OrHnlMRNiQaLXs=LhaPcTxdinwDQDiVKIoruyQhTGujrivN]xyXJY@YCDyQhUIDXJiq<<J:<JZPRvYW_ExyiYs`VaYokttHyvrUYsMX<tPs`r:=Y<=KruKKQldLld@SYPrq@SVpN;pTWpSQPnPeQrtl=IssPmqHwkdOg]uqDytImhAMo`Q:Pup\\RGLJJ=njdxGIU@mqw\\q>AUoqUByjNivgIVLHQFaNgywnLSmIsCDLE`u?tnA<JnAXtDrY\\J:<JNEJv@pe]v]pkcIxxiTfLWgpsIpLO\\sSakCPq^ikt`UcLNFMwBARaxxJMwm@n:DyZ\\vCYsSunM=m=LwcaR?mmXlu?mSKQxeIv;`UDaw=tWQHSAum_`MP\\t\\tJ>LKb`O:Qq:<ofYqP\\U<<Rs<N^aP]yVIIMyTQrUTbDNlPPa@P>DgEwc\\fwj`v>_rya_]pbUFgE^gSG]iSw_bZII^UgbMggcVsacbOS^CxZ_ieit<[t:CfEGi>MW\\mE<oYoQxOseS]GA[V[AYsMS>MgVivKgBp[DBsBKGR:;B:ig:ECJyFZOdt[dasFTYGPOYASGMoU=adG?u?ybV=XLmfSudjobaEU;GwVMbUaWc?v=[RDGYMKUnyRtkv_isnOFySccoUFef?QGgWcAKTbMd]udBsudSC:PseuSH\\ta<nLgaE>nlqhDPxth\\w_nmgsIgNusT_TlgWPSy\\OrvmescSxke^AIxcFHOyWMEayUHYsXgwAsTX;B:;B:ljb]QvHN<uLKIqE<s_AP;iv:<J:<J:<vtEJnIK:>Z:BbYD:;J:>jxFZ:J:\\T=]lQPNRQtnqUr@B<JbXpjpUtlKdYL:>Z:ROGBbYD:>:;>>:oI;;B:;B:\\xC<:;JJ[:BZZ:jxDZ:>Z:BwMB:;J:>ta>Z:B:<nI=J:>:pA>:dI>ZZP_cY\\b^<;J:<R_AWMajDQk:PQ;<:;BVAgtaB:;J:BnJ:>BB:fIB:LI>:[@<:;wMB:<RYZ:bxJ:>WB:<D>:<>>:pA>:cA<ZJ=;JZZ:J:;;BhMbxCIasBQKB:;B:;JZpQ;J:^XB:;TW?vCsd:;BroGZ]cGstm]EFKb:;B:uM:v`fH_La^sIo[YcTpd;Pc;>ZZxC\\oSEO@]nE<WNLOjB:KAgHekBBST:;BbjsUp:DVD<J:dI;VGQG]OTJkf:;BJyNZpskpnrXyGMXX<KM?ZJMbXXTUPNIT\\xX;iJ[MK::hvjuVkDofqto<M>H_:>W\\tXltNANFITVej<\\L>HO::UHeMcOUcACCm]DWqB@cB[MK:LIcHSgH?Wf>odNKxPWUl=DF?xYMYDAFFEB:;fI<RopVGeKgEtyLrWdJqHe?FfD>Z:fIPM>Qm<`xflOJ]OqPn:dNB@XRYoCTjPmRRPJUPJ:<B;h`yU:]SDCXDSXyCD@iHZQi;GeQ;BbOVtavJ[y_AB:gHecGwScf]fCkbnEEcAhOuH;KUCmH?CVD<qXpk:\\ta<n@ELaepcYtsdrZUk_iJ_eS^XNypJk<OBTT:<v``ta<J:LXmQqrpJM]Yc@UheTddosAJ[M;rTgTSAhJQreMBkLP`UMPHRb=j]QWG]LZ@NFEZ:C:;UmqDlGCG]GDWwJ?xIkT^Cw:Qu?AfZ[S;;:v`[faENxnqlUOgJ^l]xtNiZ:@`?>ZwO:;h`ev^wFeaH^GFD]SwUcaAUa?U>[bc;BbY\\RWtR@^jH\\_Pg\\y^NI_;N[<a\\:^xCB:Qe_ihy[theT>;g[sULqRWaDiqrKmcVEVy[CfEB<aD:[xCvpRWdeV`Snq^wZ;glModx`jlWjVFq:AnZ^c;>bY@Z:g]^gc_ahrfsJq^mPl=a`mPkavkk^aE>^FG:jkpNG@TUinOmv`DVpYShYvGDo@euNtm`HT_tlNdpTdwr`J<\\L>H?r[ktNssH?Xa_IWYdWOe\\wE>ctcOTKCtHWc:AfZ[;fpYh`ofurFyy^spG`Wauf^uxGrZQdJgZM_yTxbOveJV^d>xQFoT^vMqooQrN>uN>ZnMemTyDwSxY;EM?aKmhUBUPqtKqxmAQQQUUptVStNA=NLuOK]k]QJB<tUYr`@XKHJ:um:RoEdX?SiKFO?sq_D=ofryhFOGtsc^KxNWfb;s?kBuks=SbXqBpcB[>wMBemTEocSowGWrguvLasgKFfyvnwDDovOeYvabTKdIUE>GO:JfHU?tL[\\xTIQ?=jdLNlLrPXpLaulLtXXv@iXBAYx<oBHNH`MJ<nZ\\c:pa;jTyuqQTfAscqJrDmrURcDJgPnDTpO`lfLvnqLt]lN]uQ<MN\\jc:To_xvOaWOQXePoCmyLdRTqsh@PqPknxmo<nUmNsEmpMnE<Y[QjjdZta:Tw@`xNen^TvdUMcUQmPrVQY:hyF@q`dNZqkbPjmLj_qLELRMiWxdW_Qv=iVADVD<:RW_xFYIUmWduSoWW?aCIQhy[XPWU_uuRurS;VJ=D`?:RNoelAdakHDaR@myW;VucedmWm;txMU_OT]GyZOe?_ViqH>WI[Qy<?H?:VxDIgWXZgvnU`xCyyu>tpO_?au@`_>GuIGg<OyCoo=?cSotd^t[okMA^:GB:hNwDldPPSLTNLnkIMGeS[apCXsnmo=]lDhlvLl\\aMa@j;ERRP:<rThpaxT>qwMEVeHx@`PFXOO`TWujF\\OqpQgUVEmSLInOLvVt>:ByeF=egacDt[tFQUKiVOEvJEikmWkowUotcOs:EwjuRP;HbeeLkfjyfD[xC;BPTQuiQGaOIeK?MtD]P_<P^LsPHSPllUXR@DumdP_dPEDsxENkhrSmw<LL;LwfT]yxeZxC[gSUIh[GaWV;UF_KsL]wZSuYWsFIFKqxyCgsKGRAWN_TlKwLYxR=s\\ACAmFB;ttSs`?FFEbxCB:>i>pvxIqDQ\\LnfwYdyVdM_`FQtwaeDshAgvYDf]SsevPAV=sy]KeUgXlaX^WvI=VJ=fL=D`pQ;<BwXWWRmuSBaeAQIxAWw]WsSrByhKqhykdTwwHGhY?HneEDmxyWIp?w>SyNAE]QE:;BB;RLCTJcDVMGQaGMexbsrC;VJ=BBSTZwS:;pTttiExfmLPXY\\duluXrhxIdstemLdtJEOPYLdHpMAlPut<ARb<J>HWGaw_HTEXJxdswQwyltntylmUpyp_`xpTSMYY[QJ;TWPiLcIYsyK>EtSMY]YY<ioAilYPv<`RAPnMAT=XY]poWtTxMO?ll>luUTVyloctmfyYi]W[yMFDnlhp[MW[DsuqMrXy:PsqiLJYVVQTRuOWtnymPXlu<dLVmRaxY<eJs@nxDjoDJLinqUVdhOalyuHRdusRTukhN`YYATuIHkhXRD`M_pN@PoA@n?AO]UO@TLh<J>HWoxJJyNjpNViJVLYcAmTLO;=yHtswll`EqqLrt]S=yoLMWIqjgQnhpVb\\kEus]aVBxtBQXE`Kl\\WMUYBTO]iMAWj<ngRhc;?m<bowerCvkog`OtM=fk?cVacOoduQFgGEtAY=]hb_Vr?d]yWfAVUmr\\UxwURfQtHGs;cw\\UCl[tlawBMGmKEDYUhUu?YIBEVnkBR[D:KrN;wM;BlUhTUSIYcSKgp]Tl_gb]R^cFPSTTkhIOsuKcJGV`KHtqhLIiFAg^]GnwIiWUkKCIwJBTTZxS:<`T>_wfb[H]SXi^gj_hi^hxBVpO_nqv`S_s>ym=_gAo\\SXuIfpYFcpvuYVej_daNdSPqnppYGuUxhfXvb>[JC<ahtqXfAg?IjGiydIjaiOjpVWalXxLH@NDIvPTtcmr^hJheR]yJ@<UITkyTTTdQJdX_Ap^XN_ePchX]hlfDprDQjqYl@LeuQ\\lLJAqTQwWxWM`YiykiDQ\\HutTruqYrmY:tpmxq<pUEpj;xvgEv_]XlyVliKdYLRUL^xn[`xNqNNEV^xNepNkTTXTNgHNQXr_QQDDW\\PycMrLdkm]M;dKD<qgMrNUR\\@jl=JnIKfHUAhnaIyYiPHtpBUlZYTRLuV<luYYdhv;IjPyuo\\XbXmoPn`PO=qRkmWoqk<=kl`u`Dyw<MY]yudvGYk_QlVAYAIVZ=T:iwfqq:`R;pQ;h`DyiYqbhqbwf`KWvAnvXNck`aBoi?GeIFg_x^L_ZbvnMPlbntp?g[Hy;IfpYbTatTi\\Iwe[OgUvwri]R^\\:fuQ>ta^ap?jd?^wvsWNoBOilobi@vVnhAIrVNnEy^AnaVVguisGVemOySW_ngvFh`RN\\VHZZXy<Ny>xrH>dW`nag^@ga?g^dHp>QwGApfVrCvak`cb`ujVuiW[Fy[?IuyWtKhnTgfLxy=Ix?wqkFZ_i`dq\\[H[HXbZ>b;fdUii;Y\\?^xC^oC>q;XqSGxbx^=ipdfo[vxmpd^nwGooqAhfoy;gru?_HqhjoqsIv[qx=pwpid_x^A`hFNotQ^w`vri[tYa:gdowej>rC^xC^OtP<UpI\\oDLwJllm=n\\DwcDOEal`dM]PXsQrEiOWtJSuKjHtI<Q^PLatvhtqDAXUIjsmvHTNfyJJpOXATLxYAAy<YJdaPJepS<MeTJk@LKtLJenWyL>lQ=Ly>lDWy`QDhaRBUfjQsWcx^aV;KcKAfViyEaGWSfgWyoUhP]tSaGCiCtcrXUuiOU\\evLWrgUyaQeuKcFKgg_uRuXlOU;mGJ?vr;BFKCrGehYcNGGk]DsAYuIr_QBtaBPaBVuC>KVESsXyeX[tk[IauY?WfXGGGUIAeUXyrHuun;XlgHjMB\\avAOSqsc?SWaodlMuscG@EeRMDwWI_;IpYd?wd;GR;sHTiYKOd?qc<]CIqCJyFjoFZQy^wvSiYDGco[GuuUT=Ta?xVgYOsctMTHeIKIiyoGo_XHGhxQcFKvgIf^qbI_rXeuaGfdebHsRRqxGiHqMEcuua_EhCGZWXvErxcYbkB_EUeAX^ssJGYSIhY;EN;XwguQ?rWgB^IikqxkybAwBbYDR<vthnaTooDqlqRwTmwLLoES[MSC=j@uvhiU\\EY^lrtxlWhp<ETVXySqN]dWypsktXXdVyiTKDpTAp>evsuK[dXlUK<uorlx;Tj<uxoUJyMJRlv<EJwMJeMJhxStmmSYoCPkQlmwxPg<wK@kVhqh]naplkElFeUBDwaiVLETtAlpMUEdq`]lguwfUx]TngYYM`sIprQ\\wO]S;QYEiOWHXuDtaIl>PlYePVaydXvQ=VJQQRYjWAuWtNuqLs\\W^IjnqxC<jamJbYLRULJEWhaQwxlKtllqnB`wwXO=pMG`s[xpDYnXhsu`RW]u]Hk`=Nho^qws\\Ws]XjgXiNO__AdlWnhFpsWinqc=_h<?dgYiygZtXl]g_q`]uVtN^`>^qqyeQvh`YxIo[nIj:sG[Is=CViheaHrcgykCeawMmubwfh[iYsePSIqux\\UK=]ouhK\\mqmLtMTTe]N\\mMgUu=]na`TXpS?LWRtWBXRCpYWMLDxxBQtMekCARxiYGIpQ\\Jb<p`ejoaLtlokyoY]MlIxgxJIUKJyvo=p`\\VsXoeQtmatheWbqXDPn\\TpquoBLwLDmmXmSdxfEtoLw<qW>qktMMGLWDMunDqKupRYOu`kD=XO<ltXMGLsHqOOAkSmV?YWHhQ:An:Qm_atP=vrPOjuN@`RfARYhlMQMN=VdtXU@L^EqeXjLYTXERyakFquoPNbXw:`mW]K_IqQpmLMUfauWXkfdu@PUqMO]Lon=n=tX]umDXnJ]qgutfTXQIPpiUhAMN]UB]xeqlJ]pUUlHiR]pTYuhG^[D^oc?eahuKxj?owNybfoZ:fiXasmhZ<appYcIYluFwHXZm`v^H[cW_CwsPxk?gmYIgrNwC@utoj`qwFopvnbxorTwhth[cynU?cD^ifnu@Os]H`phmmfsWqrTyhtHv?_s^F]o^[ry^IxnxHZFN[fDOaSXGC>yCTWxFKwgyTYkeJ;fIYU?AfZ[Seuh>cr@EuK]fvoeSYIMUbXSERWhm_yKuSqkFV]VRwR?AWGceg_cMCEnmbsIHKGRoMENgx`iVe[TImB<My;SWtGgYqU\\ev_wfraB;YbKevnIUQwgbsruOH\\QXpObjcgkQtmSwQkV\\efKObN=HjSyQ_dZkUDmRWWy?CiScxnugAeuwKDTIfJaftucAyvyQRMiwRUui[b;urSyYKyV_ESnyYvCfjyDWMHPCUO=Vg=w@GcHge:AfoEeocd]_vukGQYxhMry[F\\MwomcmIxi]BIkRO=t@_xQuvSuXXktlIEnOHI<L`hPOMX\\do\\aV<@pMUVS`xWdPVXwchltMXoIpsxQg\\pvDPFQyMdWnel_qNa=mTYl\\QRxyukmpYxnUxMYtWyIUSES?eq_xJMekwxjBlnruQxDt;YpxYm:AnoeloDOhaq>hLayK;IvPlnsduLdxSUqYxtlix_dUrQqXTWJlnotn=QvjXM?IkEYT\\pR]pmTtuYDvuDqCYl>XQo`YGhuHLj`dPrMPxQuIMwFlSgpQ_=YkDPZIs>PjY`twixxESBAQ^xuUmkY=j;UwTTWd>iGIhK`]i>taHe;Gx_FhZYdtgk=>ZwouRVrO?_:WodAeZ^cex[<W`y_eO^y^?ePykTGkcqcCPtnnfZfaKHnna\\s@hRowIX[fvc@Iey__y_wMgvBgh@vn^?mWvguIhTHyCI[py]oPc;p]>f_QYiBpiQ?iEIxm^sloou^oc`]qQo]QjTnlIX\\X^a[Iojq[b_[IOZJyvg^ilQo^Ixdvaaf_vFrqhwhO\\ha`RwoEWl<W_KalPwc?gfmYigv[tOGWh=AUtMTukFqcwXSYsub<ihkEiukvUmeTkWWIvhgTCeCtwrYeyKUVQifUGRR[XdGycCd;ecfshT_VfKGemSkIYlMVCySTsBWyhWsI[;X`Kg=[gc_EwsskmUj]D<aRtMuEoGdkS==FwdYXQUcPk?\\TsYXIlVXyq@XQyau[dN`TsVIlX\\yN=YPqK=uMTUJcIO`ixFquk`ObXYnmsH\\nYdxNqJX=V<DwGtsWqQIQtw]joUqkXogdxIPTepRapSjhwZ\\KtQlwuR\\HquMjwujkMPPdNJ`q[=Syllhuuk]yB\\KTUkSUl\\qsmMLGMXBDssmJ>IjIuWmUTr=J:pQeUJIUjjdqwtTTEv^@pFiwcErWYrmppeeYbEUaMuNptwLnHqWaunPXX_QSIqMkxlpXwBhka=tsplXnZo>kUW_eHcqGbL>[XOpgw^VI_OntHoZ__wwPvXWdvQqI__XIr>`x]w[kq_j>ggffGgn_vdVFu\\aqNNxtpdIyp?hqbaqbigEomZv]mWdrHe:wmq>yjwy_QZN^jciwPpmanpcNdFHlI`ona`tIolWenoxphn;ga\\OhpH`f_vHOiT>[>goqAdLWnXTXqH?GyRkU>=sBMVdMG;QYkWs`[upkeGQFhsiaAu;[CTUsRUTcucOIXPSS]]eRmFKEv?Yc=qi`qVJye:cYXAIscTXwRiuI=ObjcgtmwvYVUovlOxCGslsh`gBqacBQudGexGgvaSsWfQ]tSggTkWM]BbktGsd`sHeiDuEXeGb?uTFUcWWiomg_wvBUwPeiMAD@mRS]IOsdTMwJICpggYIeumifuu`_Dj[TeWTvQYH]GTqWV=RAyr:AfooboCw`CCqmeMSB];GHUR^qSuIeU]dRqGraBpsbUyBnIU]mEe=D`wYgir]gyfeDtOcBautOHrwT^OrZ_tPaduSY?eeXQgQkfkCuUud>cxDGsSQRAwx=aGkSFw?XNkD@mvhEe]EwoKstgRVAeNAgq]yOgGdSXLUTJ]xX_hCGbw?CqMd?wdgUUygHqaY?qiOATgOV^`PmevkpN?yuM`MUAj;UWAux<MMpEukMqCxXUTWCIM;AsIhRAEn:uqPmx<`M<]nxmvZPVUIY<imjUq;pQWqQ=]pDaqsyJ_yoO<nZ\\SimTtmMYQRuqvbmRqdL`HPphpTDKMAmfiOEMjtuKHIu<AtL`XGiv;HSw]VxDVmAoVismhOwxRUuPeMJDYWUhWrDq?mv`ylgUUxHPqQY?qq?hVb]s`Aw`axPQUGmwmHsxdqBtXLhryHJ=ptvyllMtvXSHXTlYrfLucerUpOShPvYJTeLUQX:IvP<wmPTVIkhxNx=T?@kBtqLeWu@MJlnOxlXPMc=MSHqseRjuwBaoGaxJlVDimIuRWPuFAmOep=QkBUv<YlVQvcAumYmotj?]W`DTtuy^TSiAYeqV?UN\\eYJqJtdpawca^vionI@yDhgmy``quiPuqVfO@a_NpYPvYYi\\GvPntM@[uXpVQ_]qniYapP:gHQad?MEsEtKgFkofrqf_sR>wCnyWguGrSgryu\\=i=ARYwHFeGqSF:UW\\IGQiV[MsEus]UebsiS]GuIul]XD_wBasGUG<weX;doGS_IIqQtMMSEgewGWk=tMYRlmH[KUiIE?AXAQiZ?i]WXqcFSme`GCRURPor;YbnUdOmUogWtQuvaxemxGQe:axdUSrCIwoBo;Ue=Tg_U[YyHgGJ[T[oVkofLqsEocFEXjWhkwSjghrafbaH>?GaGFyUxWcrsIu^?gqeyP?XyEbxsguItyGybKROAt>WYmKrnoXq]dlsXLQvIUwaUccMULGsicfgYhKuFy=V`SgbmbRCWa_UKIWbgvmGhaqYZMrLCiCcrZ=wBWSCuSf]U@MdCOWvUUqEFwqf>[ImChZLO^xMaqWfYXlxwMYlDmPe]yruQj]W;eXUImbpVshSJptXxXvIOypPkMlWplMhOhLxGyKjtuK]lymLcLuN<Zm`mAOsj_wmPob`p@whhfhEasEgcRAbt`kbNk``vMVl_oyJP]vaw:aoY^pcNdFp^qOkyvj^wyj@_bIu[HaUV_Jpm@GptA[\\Yhqnsl`aunrtHl_PbHWg?ivJOf=xfMnowArjGnvhxoVuIveSxmsguxYZd`cBwaNosVV]fpfXqbbywHhsogk;Wg\\Xp[FgmIaAI[KiqP_pMq`pi[pp\\_Ok`^ekf\\pCJqdN_Gnge@MRl]WiQyg?RtMBwmTPGFd?XfYDOaHMkwoqUeOu^[SkoFgif[]IUmTKkCFauRODvaGsiDOghKArfOg_kE[cGpmx@avZwvBygRYXUcuE]SgQy^on]\\uCmYGHsWAQMQxVAUeqR]aU[PyCiOt`pXQJ=pWvymsIuQiwUDoLmW=MyctvxDuqIuCerN`PQIqcqy=Ipcpkj<WGdpQUl`uvrlkE]SCEuZ\\rMHLXDJC]kP<uHEVk=sM<YM<wmyOaYmT@W<ioMMrNxPUqMwqYOUyxLY=\\o[`xn<NhPX^xn[qOtAr?lw^xN_TkcYr[UrrEj>MYp\\wM@XoYYGhKPhoMtqHYPbYXi=uqlSktQuDlaITwpw>QUGLWbtlShVvysTesZhPtmWU`V@yv^YYf\\sfaW\\YYQhpbySKeVDmS=mvppXUIS;@QsmloIWjuJBuSZxsdQx>tthyVkpnETTXHRUixCTsrqUedQcLW;aOuEoLusBUWduYtHm\\QTK`xvmQxQx@dvJTVmuPFApnIMeeu:ulnLKX\\nCTP>ajP=Nyqq[UyxMksIQwUv?Avt@U=AttMKq<SOQrOQsaaqP\\sBtLIENa`vR`PmXTvHVd]U[\\Oxdkoas[LvT\\NTLX;xPiUMwMRLdtDdJbeUudvTPNFEYcIY^UjNLMxAw@`XXHRq<NDMUKEsC]PyDQgPy>mwETT?TVmxti\\KtmYRmst]omAPd@RtMSFLqxmj_IykmtoatN\\LsdpaUraYLlqPj`pDiTt\\^fTWmGvCuiws^Ofiihhgr@mWt_BYKIpkt<sXVQuKsR?]IEWhHWfggiUYSKAyNGbI]fxSr^IIcwWxWef;umYHk_IMeraGVU;dXwhnwcNsGxesPueTGrHesuWXOEtXeGpCvPAW[Msmuv[ixTCRCgHNKv@eS`_uOyHdSdfYcPwBqiENghXUHDAgsmW^sbUqtwECqMWxAcnYfdOCLOepicy_hXUIIaB]IXsWwaWUtqcqogq[e<OVJuIUQG_GgMcWeyyemYxikGLNWIW@YQKLtGaWKuxo<XMiyBynIyjHxwCQkI@K=ptFEMTUm\\xkKXXsdwrLVLMXVUsFEOXYt@qyqIUElk]EVeeYmiQsqpMdx<tw@aTduS:iwMumopRWLgSau:_sUQ[YHwtnyHwdWfjc`w>OcJningeTWqxHvSVwjX]sA_xacsXw?@oyvtC`lm>_mgul@vxHtSWwFX[EY_MXey@\\uodTifRoxthZ;gi]QhPIqOpmdfwcgqagrrow]YhQic]I]ngml_p>qbi^^VGea?wA^n]qfvf^jx_[qcl`x`hgwyl`yvYQpixtJxpLAjCqyww^OngJIcLokKnu@Wmxicb`p@`agipinfa@rWxj?y\\;qdxv[^a\\YFrLvkdH^ggrqon@nvuWxgwiJnwnxeuFb_px>ne=NyvHtxfyPIln_hrIaZ?tdO^FGicIyuQa@IkN?yP>]nijB`ko_`wAfdFhRV]eqkPNiFvxRFuEgt]gr_woWx]nQrjamopg_xfmpiky\\QQw^xnT?fvowTIgPx\\`>eQQg\\WteIsLw\\PHbLX^\\ixxWtppwEVhYypfYwbhqnVtCgkVWhKph>adc?jlW]ynhf?oHycugoF`hgnmQI_AywLiqZ@mLOsVIkj@^wvkKh`Gfsqiemt_atXOt]Wsaoxf]tPKyb;fIQweSX;st_[Se_iIWvsWxJQUGuXiGckwfqCvDMtmqwxETaktD]x]kF`SsVUhn;iY]SPQEqUVYGsq]xIgImoRUoDuSYGaiZoY]KXPAiUgGd]Fwccv?dJcW\\ert?dxMufwVMMwqYeRwiPEI;MhtiGUQui[si[iguUeGeJIgo;CU;ungfDuIlIwuIVCQYFqBp=FraRZ=TNeGm]cNQS@?FauXLIxU?FkCyQQePmiI[vNcE@QtIex`MdoccFiwhOuHGSScIK_EYwc=Ssg;taehy]r[ivhqVRahDsgXOHLISUUW]kchGUSqgY]V@QE]sfSURgGs?uVhoUL[uykFeeHluGwcxDKXrmxdIi;eyA]vfota?XKoXkUFwcRIieCCiemfTMyy_VWUdbEwY?VWUfK;iBcUA=SywhgUWysHqYYAqiPoUsCIZwu^Obo_xRsFeqw>GwN?gl=tCCIQidv]tyAIPyTAwVxoXmoflMbSmc=OW>kIs[Ev_e]ARlai_sI>kwFADmKY@ktywgZQwkeraqtUQD<ciM;taeTxIsOeg:ccCss@kBwGEpciCEVDYkyhoKIwEmSQToWHsfPNdesNXYY]ktYVodOwDW_QokIWO`naUmQTVIuoPaS[dr@mM@MKoeNo@YklyvQWPHv>MO?Qm[EtQPXQULhatleohPRwit^UvADxepukhosasVywWUyT\\r`TOOiNlEVWQkr\\xKxUyxKExtDeUplvnHVU`lMmye\\VbeoaeS_aPmdMALRvXQdHLrALdewuAXHEt[DXjXLEURX`U]AjA<SC`QUIT_\\SvPNwDyspmPXqZXo;LyfPvhTqdEYnESTUOrmWxQO[MOjuvdelTDUwEoN]Ls]XoQkpuO@mVb]t^tV^dQ_xwR`sOUk=xUV\\moPsJeoT<wKEV[]RpQosHRilkFIU?XO_dQWyVVEVounxmPa@qoMS=xLalUUeSmPPwxtulpOymTXyyXWYeOBusQtNSytRDtjtvHpy_En=Eu=IoPlSp]owhWXDqo]jodlmdyMIpY@XamTCIJ^drOLn`mXDUsdXtJiLUIL_LU<=Vwqxpaq]MNcQyTmw;=l:<JbYpTxXwaqIDT^IWJ<nyEmjdlrtkm<kb\\RKIV^ItO]j;uJ^]oLmxDEqi\\PdAydD]lOiyVu;ImcYk=XbA`f_X_oh^qh[EhaOp_SyaGPvSQloV^mXtaaZ?pkDIcQ`naWsj@ymGw@ahb_lkgjZF^qfyuVcbYsPahCHokpkjauA`xMas`GiQqpdYdmYkiIuQWwOf_`GoK_oyY^yx\\y^_TWfvG`_iq`Fyny^VI_xayN@lbi_MHnowjoflMha[AyOx\\Q`hTqcDH_Of^dncSGgfoiJQgu^c?C>AW>]yxkYGoweCswYraGxw;tY?Bwmt:kBW[E;[CtUi?Ggxkhg_dsOEMQDDUR:KD?_fVyDPcXfceCsWEADIsrlYHI_vpGvkwFMaTtORhufrmcDqSUgENkHtsFGUFwcx_cHV[eRaFV?XaCysQXhMyqodjwTfGwhuRFEcnaWRkHkQWt_DjIRYEivEYXYhgOefmYKugbeXl[TGOeeoenGVRyI>asecyFIh@sTcgGqoSkoflxkulxLItI\\v?DtHUkTEyo]sc\\QZ`k=pPotQ^tQhPW>XuteKB`xvLSDAymaus]mjuNnuR:umoTJExTpHRZqRnyTBTtOeM<Esq=uiEwfDUdyrxDt:XncEogQr@lV^Hww=Tklts=wBtQA`V`hODlKYLmoPlWiJUTmOeX^alN\\LXtSB]T_QXo]yOhNNMOsMmFaSitv`hY=YPbMm;`W?mgIocQF`YwxX>fN@kNHg;Nn\\ocbVh]?`AqqI@syfrOverndYavmyeAFeMGaeYvHhad?^[^j<_iXfaS_yenl]pwCWtI`nk?dVasvAx_Wuigc<v]ppvYNlw@hOVwhFvHqh?IqS>[tG^ZxsTh^:Wf\\VpP`oBnjeHhUA\\t?ja`sOg]=QrHnn_xaVnnfxkr^l`?>EHmOsKahNoX[aVW]tk_HqQtMGys[HmeVl=X>CySSSB]dHkeaWePQRm[ubawO_buCW@WR_aFAqDNSX\\UtB_bEYGcIGbsg^qgvqrLkydgX_oWq]I_GVrarv_Hw]SxCSo?wf?iM_WcuyamCuYewcckYf\\eyfuIlyCuAhjcUTGy:GhxMvDCyqMdI=w^QdO=eS[WPuGSydHgtQYG=Uw`SWdsFXGvRiFtCBCMFLEcFAG_?x^yWLUWyqSscBuiRMkWmUXAWSpWblYCGsFwOvj]UwobIKui_E@QHCOynCiIku]IbxSgxIYwgfFKI^KFE[Bbiwsgd[WyMaR[oDp=Fgci==I[=T_[iDQsAOrcQr=kCi_VRad\\[CD_Us[r`cHm[S@QVB]btAV=mbx;rtAW>Mud?GcIgfwYosX?ytP?cQaB@cfH[rcgwc?F`CDT_ERCRrWdf[yGqdpyEmsY_muqwfccC=QirmYBme>QbjWeNaHVSyU]chUFQkyiWVOaRiAtDCSnosloflmwAeEuSuuuI@euGEwTybrqITgTnwbX;y>MdMADdmWhaXKqhY_GqCgQIttewZ_hXOdaoyPWyEwGYcb:Cx:ueq?tnyXeAYnEtDAV>kFVYu:ieuqTdkyuKeRqh^EF\\AtD[RCOfNyB\\[CYsB=egcGEuarOKD[WY<eFBwsHeeO[DskFachVEwc[ctmHU;djEGOOI>kHRGucswucfK]v>YGe[C=;FbQVLCVTgdYyhkaHvIcs[y=SyDeSEyID;crAhZeF`wUN;wmEDBaXLwURav\\aXwcVd_xisyXOvBuvW=Vn]FTudSUTscy=qcY=sy[buSHDmXDEFK[vs?GN_gQuBxCCTMeuSdiYcpgYlmel[bOIbIEsW=G:Qx:Et_YF^EuaGWu=wy=bxSWXcImqI>UBxaUVOYQ;HbiG^qsYuTjSdrCDDsIjOFgWR>=y;iDN]h>cddqBVkSO=uncvxIB\\qGEYu?MdiIRAQTG[h`oXb[dykTfmVDQrZIB=QhL=du_STQGWKxyWdTeCZ[uCmYHGsHeeS[HZ]WHMS_afaODZuS_YsQQXMuil_RxoWGeVcaemkhVQF`=HoMXwAcCEye[H?wIjggrAuVCxqUQ@UylMKaQOC=VnTxv]KcTTkhLI]xCtNVIOhmyD=UbHqsXVe`mrtYq]y>HLWlrWXli@ontL_\\riXUPEtheVluNSAud<nEDyxtWuiTHtoB]nauVeitwaTduSN<ubIVlHpjQxiQK[PJ:pQe]NBtXLxwr@PjPvXQtQeLtmUDtuc`jY<SGUwJDMk=POpnOmNL]qFMLKuRsQPEYuI<MNHll`wxHJneo=xka@woAWliU=DKqMoeDl[XwGds=]yGukyTm\\@WxHPSIOmLj@LkFLo>Qu_@oNtNptMR@XkdR\\PWf=VAlYgtP_yYPHJiXUM]TLQPFdUEhvqaJ`mMHtnYHolyXUMwyhsKxyjxnd`PCeTGeJEiTW]j`Dy?]ShLUCUQtQtXxRTxLCEX?YWXQlOdyUtRtYOXIVoEmrtKslYNxUt=P_UuJ`Laln\\qxEInXivQEP>psSqxDEP@@QoqrBHPsAlFQp?tlIDS[PLThuIduH<taeKP<n^EVxMQrA\\oNtmwgdp^_vnp^pJps[qdcnllwy:Ao]N\\eh[tNml`oWArbakNfjK?cYYprqu;PsXVbH__avuCyh?grxIqVOsfPls`i;?x:AqfhvTYneA[oFoo_dvIu_Qc;Npl_gpQhfXk:ybeXewAoapbQqqHY`bArq^ocVdfVZaNeM_[TAjnHwMo^q>]rFwTOkF?iRWdX@`bEmsypAxIUYdyR`AsIcwc_tnuSKihRgCs[f[MVp=yMoI<YExKDemY_ASMmcticj_UEKhAoUQSWL[En]WAQTFgI^?eaUuuaIOGTvYdtarDIRraDDgDWCXUEeu_vRqXeCtL;sqUdtaRtmwMSbSQcDcHJQtk?vlyWRWTBcD:[xSUxS[Hh[y>;CJQG`qswCGd_X]uRSCs<]r;_dOgE@kRX[UhwCuUSJOx:]TNIv_QiswcF=s[xkitT^Yu\\Xq]`roYKiQvQljwIqFxsfPls`Wx=XNAxfhVhMR?DSotrYHUPENWLOuqNp@MN@X[Em[ArdTMmDjuUNqEQ[qScUjh<S<XmjIjVdmHYTMmvYlpNlQ]xns=jlEO^mU^`JJlXuAneTU?QNMdY\\drgtyeDU;@lTTOAPld@yutRTMjq=YgqNKExfqxulpKxYtLYqanVXj^Aqo`m\\@NO@lC`yWyKkyYvToZyLftjwuWgmw`tqr@w\\uKCmus`UwTSaDwWYSNpmGyM<pKA<wmqtxxKXqMFySuXYr<PbiOruQKqJaYtFdTDeMOtnJQou@YwDtAulgdWQdLMHpFUMgqTbTPnyk_EsqaKDhQk`SrMXrhJqeKLMOYxLv<WrmtLeyvDTkpv^XQ\\XvIaOOHmETVdAnMYj\\xraaOOQXdHjnarDXMNXUimU>QYeAWPHPKpm=pNWeUhhsrPVrlTdpUkDeDVvOfrYXr^vy;VlEVdoalCohtWsIO`:xyq@aoOniAjcfrcPgVweOGqlFZFV\\WV_Ovr\\Pe=YnDIwfYhfG\\YXsHpuwp[P`gMgm=`f[HuXylBwsWN[aPfs@Z\\`udxwjvaHoqmOxqGomIbsfwVpltq\\Xymb@vLIZaHxYw_:>ZZRLCTJcTPoeJIINUCtagWWbIyh;YxPUF:uv_guwKFfyCZ=tdGdXWiQWthQhDuR<UXD]v;gVeKI>eRX[U`GH[qfv;IbKwqiVtIDMAw]WSQ_hU[L]EOpumFhRfqxAhys`TkiPWxLLdQi<QTEOkLw^QT_HJCuX@urYpUDEXXTl^`WvmxLHW;EtMLXP@oLYp_]S<Iy_LtJ@mddQstXlhlQDYsXSyYWS\\x`hXcXYcIkS@NIlRfHSaHy^<yJqpfym`mU^uyEqqVDoKLL^uJ^ltlUoJexUqYv`LxQpB]P:XVCXQODXF@oVdnl]ps`JY@S<im\\EmcmKcmPHeSQTn\\UyqAQpTVoMXKTwV\\nBtR?ypPmk;@nN<KkyY\\ToZyVL]wHUxM\\vqIUUyOgXJYtL]]K[EuM@okUrhtTh`wODKO@Xahwlqq:qNWht:Dxg<Rtmy?xK;<MiuW;Tjt`Sh<qTdTnqUiHKHynsqlttxBYJEuTn=Mn<vZQT?`NLmMHpkt\\pNAX>alKLTn]l:lK_tuUTLuyrL\\rDEPKxm@]VhDmULLmLNeEkBuQmXu@UWhmq[HoPEVJIo;EP<TjDqSLPS^uMqqVXEXGal`DP>XQCyoqTXQpYcEkxUst`t:MSLYrYhv?XrOpXrAOj=L[qSXaje\\YyYrVdxiUyl\\rHeyV`LJdPs@VsPxmiMyEsfhy?ETDprPXknlYYPTLYPHUxqHjSyTnIMHhLbpJDHT_HruhMy<OX<RDTTdlV>dNg@mrHowxUIak\\hwlhQP]P[QOVPsohPyDYTqxmHK[LrWHQQqYKXxqMT[uWslo[hjqirGyqvYO[qs<XkuiN]uOjqNRtWeuM`yovxW>=yk<LZxP_XQqExvDpdXwZ@pWYSKLVftjT@qjQonUtHUwn<MkdLyXVHpOS]uhLYjmrLTj>xN_aVPEsV]Qq<Q`]VPQVlxtbXlEhNIHnpXjCyxfpPkLsHUVIaO`mUIejp\\SBqUF=MninVhrCHRkDKaqLuHMoatJEOPesvPRWuW_qOsQbtigeQ\\^xh@nvJav@G`MPxP@dk@^jpl\\G\\A`pchas_yUqpnyw`IbYVxFNoC?gDiqQ>^SxoyV_VokSO^^vuMfy\\pnNf_agou`tEw[\\p^[Pd[>ZOhl^himf]e>sL_qq_foovKOujgpMIpK`ybqvwa]oOmdFkp_xciij@imNd`HglOs`Ngb^lMouxAiB^usY\\POjyXskgj>gxSAq[wtentWikffehpvhI\\v@h_YeZ>]ogiToh:p]@>wmphD>tKHvS>rZx`BimuvlT^[XOwvqjbij;vZP`np?kS>ijG`ifau^[HPygG`G_jRhlg`i`gLQv?iw\\mb^]GPefaiY=WVIwG`eRdsfGagLGibmSjAvKEUE_d`irY_U^ohD=URGXAAVtaX@yeW]Fh[iNgibCHb=hNiysgxjKrNqFhMSMIrMsGikf_gwUEiEwIq?xNeyHgXkoT=Og`uVKGfrKuTUgBAtIOwAaYRwi>geOKcykhgcy:aIbYDu_x`OHc;bQqt>WIycGRmfpIwtAbC[couTS?BEuieAv>su;Cc_CGRoEagv^yx<<nZuRd@N`QoKajKen_tQtlPBMlK=YlLqsuxSiSB]lpAJLTkm]mtmjVdpCXl_DOWtN;XR[lvX\\VwIOUyknaUNdXpynLpLUQtotOqupbMoG\\WtAS;ijYeNmhWEqkJyT:dYXqqqvpMHbayobwavNxBNjb_bq>rWxqBO\\D`xKFfupl^xhGH[Yiq>HsJobui[KwUYBEGCkMdD]BhaVf]inoDNyvMqFBmii=SfIh?edBag<icDaSXgEv[VnmTlsIdIEv[HxaVlOveSGPOEuMYKOGDCHqcgoADwYH<_xKqucGw[_cIiCOwv>]unqXhssAyeSmByWVW]ffAIsGtJGSQmDSkV:cXEQhNCtLwgI]WEmuqSgPCwCqXk]eo_i:GCfesdWvhKV?uFoSc@uW`iRkqI=cBhadDsso=SMQTkiWIsT^GwekhuktC]cH_Ty;F?uyCUYbCVpADQItqIu=grU?WaGFkUTuuyXEE?WUNCSdsis;xAQIcUu[?x_UgtySWWitYdnsYQ=vHqrG?YIMfv_uWMfE?dFygviwliWSIC;mUI=fIYu:mVyeDIosUEXyAsBWFmmTXyCFKYW[usYx\\]rDcejgUEWtrmBW]g[;F>GI=SRhoslCgOoeNEg[sRMwDoWEl[H]CUY_c_OHSgTrEwC=SNOxriHnwrH=IU_gJEW\\UgRMxiyX;UR?Qvi_eEmVTTPdIuf=w>YSCQP[PVGmkeyXlUlyTpFDYQQmFEquPPXUqhMJf<OQyRGuplyx:EShtyAqrUhjyqLRTRktmPPPOHuYXLwYna`LhdTvYjRAtM<U^mv>tu;Ek?Ys^ilVdWh<VA<nSHO^Ps`hJ<do@QYI<OyykqqvmiqB@u\\AU=`Nx`RwdquITQDReAwFhv:HRdDkT<UbEmEpjc@V=uXSXYKhrfTupLYlun\\XsktnHyJwPluXT^lSXMYpTwT=XxuOS=xeEeCoxxvmPgm[xr:Nyfhv`^uKG\\Aofi`qYnoCgnihm<AbFOidghVWlMaxm@[S^jfVhM?mHFqanfPGaT`mVqkaVpRak^_bU@_EysfPls@lbqc;paQNo<Oo\\H]Y`juV\\lx\\Dh_sqpO_weFaEvqcGaNGgkYgay\\dox\\Woo>cjIyhoglynPHniIeMx^UojFOp`V]?XrOq[yoiNAfByjQq\\Cxlqy]oi^S_ykoy\\^oMwjiIm]oaox_hv^ZOj@qjEq[pOhnqb`ObKf`ahbwgwJ_]r`\\xOfwvkLhZXfdXYfj`ibNxCPn@icix\\Uf]e@pLva=PgdwciqyUi]eG`gX^_YdcqvmayhQvoQ\\II_@YeHgnOg^jqmrA]px[rOa]@fm`mlQmiPwhWhiacUqtJ@rX_t^qcNQoxwxV`qW>eSV``Ad]WsMntVye^@wjatbxnyWsAWclxi_^uCvg^AbYhpVHbainx>a\\NxJ>mjW_efay_e>A]Xfvv@_[YqLXttp[C@uW`gby`^`ia`hVN]o?jaFn_i]@p[t>qJHv]odtOf=Vl`XqFQ_VN_qVpDnoBihPheJXxtofi>y`>kj>w<ffZOxep\\kPmEN`kQv<orPXgJN]XfqQXqjOp_?_WQ\\f@wyfnkawRHxAP`eoyeQelnnov]Oxi`OpGx^NyhGYjyVpintE^bXIgb>fjal<nR;VOgY^gdCkYkCc?USKsrKmtVmR_SxiyExWbLOSPGVgCveoSHEhxCTCqcNkd:GH]?yKKSK[yI_HnOST?DdiExOUHCb^Se[eT<kw]cBN[fLceDaFAAwBeHRqEPQxwOEXiEq]xumwZEtqAcCgwh_VyUdDsu]mwGmysYtpgbjuVPmyPESbMTkCyNSRhUDEYTBmcHsGGOYpsoZauhAjPhUDXpqQVbAS:pQeAK`qor=WN]v[HuelM<lJg@kuTlcUy^pRrlRfQSXEuo=W^qw?`ohaVPXnpyONqR<uVO\\n`]rNULmhpLImO]nU@MYHQymTjApkDUmiP;XvSPlD`xfeMQ@XpmQMxtmTYxdMLywoXXmIPLUVoxScEPfyqGaN<eYmQv<Tn>tm@EWkhTS@oGlOyIT=EopxkhpONDS@EPaLOLukvYQcpuJMrWvmYPuPfq]ovgQqYXuQFg`widx_V^]PAlanb@ok?OpWQt:?_DOqTXtSf\\n^c@GoiGq>_lqArNneRPo?>_Yf^_f[r``xGcQGtAYavW^Yx]@H\\H`xH@eT>t`AowAqhoqwqhQvo]xruFw=Pf`_hMPvW_rWyfxolf^mjhg<QoAHlZQge>x_Ww@falOxpX_@`u`plhan:hxlyC;E;EEoaDIOvWQyK;wC=bxSwDGCQ?XaCyXSDpYIj;gUmwVIdf=vV[bFOfECtHCRNqtNoS=QfpyGJSygGRAkDfSwJSEw=X;od`cT_KSGuF_KDaAwvibgqbGSsRwUC_sd[yT_fJ?I<ieviIGaeySHrkWfmtveYV=yl]faoFCkHOuiNQgccG\\qFX=ei_xeyUpSE@uUhwXhcsQarH[eNWIyyyfSrxqVW=Fe;EoGuyqW^cwuysvgBYcHVkx[it?[tfaDoKR<SHrESsSGwmV]iDdYu`mUjoYcuSPIh]Kfa]fJETV?g;eSf?c<mt\\WcC_xFGSdkUDucVSVoIcZGwTOs`Sfp;BMYrG?e[mIFQIEGX_AhlkVrmci]VIueJiw?Yg_?GyKhJgfTCgSsw^ICiWfyuu=gbU;gBshLYeMUYmueFSy@MrWwrguIbcgGCgqaSPihGQtBoFOSdI]XogW`EwkEylqc`cStWG>IsEusPscQ[vfQCBKwT]YpuhIUwAEfICBtaiweUmeXZ=T<GecyCHgB@cXqUb^uTUMYLAc@yhpKXQQbOcU]UFquGJirgYvLMIAiRgYeicxuQrPAw=SxQoXRkDw=XxoUEQtWGWliykEhAmvmSGcuSQUr>UV>uXxIIIUdXaRYMdScxvWVrMrSGY@WexoCDWYgsRuGS=ihieUVwgpwB]wsTorKyF<=iM_YyiGqmyy]G=quqOSaQxkUFc_sykgf;DqQvsWHiEB]]rPQIREvCex]uFayG^WHh?cUuijGx<gxGUxJEd;uFTwbHEhaSVPyuAevyCvX[FryCC]GV]fFuV>=cpSx\\McSCusAHBGVnAUYAw^Qd_OiJUTRStv[sD=RskCuKCoIEjOi^eB\\AIPAT;eS<edY[GfOuN[x]MiTKfOux\\uVvMF`MhDcvUUuHayVIXUqRd;d<oXluVeqbwWXh_W_SUT=UrIYfsdisWa[uceinYf`]tm;FbWUKIuW=VpgBtaiWaBpytlAGGAfVGsokGfADj;G]WIqGxwhTwLV=qpi<RtTlclvNtTMlMKXq`yobQQf=rhIyn@mBEY^lOdytsak?QTqtO?uMltlIQSpuyjAu]Tx>qKn=uKIYELu?ir_]s==SimN_=KoDwhHLkyYHiTD\\kGamuTNr=yRaos@SiexO<lRqV>MrcIqhqvtmqPhQqYoZHvixvbhLHEWsLV\\Iys`WBuQ`mwDYqQpvcLb^q^=yyiHpDqnY@e^hvyXeaI`f_sSFtvNtFY`[On@?_\\vcc^y_hg[FfJg_;A`mQconpPokL_jnggvI^\\iy@v^Of_@a`SAf^hkBAkJPn<F_xYlRv`DyfJO[yngDgmTf^_FuuxkcW[lw]Y@sGhre^tcynBgxSPwcY]xhqrfeHq^@w[pOvhoiwyhQfo@OMYilEybGCW_BqYeuQdiaCUqBFurC=f@UROGsWOvWCWcEwsEFqUeCOsYmfHOYp_vaDOvTqMxmeIYAuTbQQdXMF=XClWIlVh`YRXrJtsIPvHioE<uXqlMluDIQ[env`oRqJsokfgsMXk_`aTv\\oxhX@qfH[^@\\w?fhQtHVrOQrB_uWoeJwfcXc?NvHpsWxuh?aPPo\\O]:wx@IxanvDqf@GgAIpSXh`_ZI@neylufiHG[ewjRYbEg^?huYWsXXxy@nK^ge@mtin?NiS?eZ^usFwlaelIyU@x[Vavxmuvl`v[khy^PuIP]?iirgfXPuFnkdWjt>gaVys@`W^pTG[sqyihg;@qpi[m__ooqLquRoa;aj:HnChZ<AanvbWW\\_p`HHqf>mx>lvOm^woRwuR`v\\i^Ni_M?yIPo;_a>`p]PQOyF[UW]e\\SCrKiFsfwmuNYi=_Te=HasBcMDHsbcsb`[fvSdLUbKuRyyDHkDfgThcESuy:GiiITUQY>avQEdXCcJOyIqevOy=kdIOFPUuLQteQRhqTkghGMenAhX]uh_V\\SD_kY[IUocFE;BbYhhERvEVFWcXYSxwV^gXRsDx=xigHcsTQkwVQh:EweSrpgsIuwKsfT[xNMw\\GCOwyq=rhGYcgUAWGwOWNqes?S[[FHGGImGk]s;GiEMIF?faIbbcBLwEVCDu=YHOsdMrDIvAuvFYWqKR=YUnCv_cuwKb\\AHOeuGWsVWHw;Y^SsvMbnaim]V<Igs;cHsthGHZSCesUaIENwuwMSJAsCwv`Agi;DnsdUKxt_u=qyaGsBCh<yCluvLwsygG=IUhgRFiFOuSGeYeEeNuIhMxoGYReTy[xUABoERBUFgUxyyVUwytGYRYW`IVdcfkcrJ_WaavNoDlswh[DcQWYUWJsRkgGAQENetp[RsqRa?S]qfFYcKcSn_SUaF\\[vtAyH;uR]eDghFogxwHZMgcOX]=ihmY[WiEsT[]r[mx_SRoMELKetAfsibA[si[EkggeuERyH]sYwOyDorKEB_IIoeSeoRIUdOsvmuhBWWJcTU_HdIEnaV;IuYgrYoIgmE=CwC[xSuRS[XxQtAuR>uwKkyXeU]YrI[t_mB_IimUxveXBKSbQY<qhGYDR[dpsukOVNmwKqBhQeUOto]BY[eiWsBcgf_vrcCUoCx;HaEXAGDFutFEhcSrdMrDEb;uRd]TQ?UaMtwSF]yyRggKqcDEekIemwfkaCDAP^xLKPM;LOymuBqmwdNb]N_LpoTYcek`XlUpkV`Xcmkr>haX^n`bwWx:_uYYhaayUQ`<wn:htNvdN?ZUOcWNhfVcKasg^eJHk;Hh>Xa?ieyPpGy^YNrZxola^DWgeOeUIdXv`VPstIxxYbMP[MHgLidgf[<GwRwq;Is?Wk^akW_dSNuMflw^ZGAkBgcHYbWY[Thl_FfdPpZvwn^vQFpw@g_PxZFkL>lcpl]afQx]cgcAAjxyZgYgBQr=qvxw[SXyWnpgha\\WeEGyPQ^dI]:G^GnmEQsuqe`IdChcIivhorlvhpFgTYstGfe`up^di>cTpq\\FkK?ZJyfWorVinvOu>H]eVAGRa[bOIT@c^GWxcNl=_dIgcUaacxpo_nMvlBF\\@fkTiaAP`gQown^]VmROlPv`_vanN`pyxSapK>e_F[wO]EfcYNoiv_mauras^Hg;YnNPZChgAg^V`cl^`RQq[Pd>ghMQt?Il<aomog^x^\\qyMah^GcbGprpv]q^]fltyyKXauyePnmIxal`kvAttvZMotBovo_bb`fLWjKVlips_`r\\pcBNdiOjRgd\\`uQqpswuRqvwPfHX^YFhuOjs?e\\hixntT?gcgrcxeIGgrnvC?hAIlVf_AG_xgve?[oi]nPqbG]e?pOpmGpaxWZqn\\gvn]hgJqrUgdPOp`vhOGlMqlXGeOW[VIuyAlggsiqpoNvOVgYwoYobxQe_^p<nlop^Lw^qOxuqpl`amo_qW\\PhorPxGplXGhdyZkYtQO[HaybfbrhqmIhJpm:wmyGbag_\\PmR@hAxrfQb<_`\\F`cHeWWfJomuviRx^updd^w_fx\\GvUqv^hxRFbMOmVIteVlXa`d_kMi\\`gwn@cN>nCcHSfnernOtDEGjKvbMtVqX]?E;Ks[_fuuRAyEIMT^OGeIe>UHDKiHCwcgEHaRMShaeyq;WnSRWAsb]tmGubGSQCY\\myIUtKeF[gRlAYWKX>gDw]u^]dLAsymvHqyB=VJmRTWEj;GLAusCuCWeLsfH]gq[YDmyVehdKcoIC=oYeUeqQhskG;MFKmtp_sksT`kIZkHc?V;kvbWeeGVMesroFLQuxUfvqBa?chuRFGxPCtEKCmIws;UOEsN?ggIwQCiw?HOSgMgTNMwgqvYkiu?V_Kf@YIcUgluBmYcA_WeGhf;UScEi_d^AiJoBIyV_iWJob<EIhgh_IIOqgeScTEwWec]QE>cxjgViuTRaD@eI;oIyQHLQDKeSTSHiESqGDkSIamfxKsU?X]kYgWTFKsmuv@IYToyHow>IyjACUqvf_O^dWN]VouNI`lAqR?ewDMNYhvWuRcqjGaK>YOcpXBtsZXn_DwsAxbAuYqVcEoQhMY]Ms]XPampUnciokyr`EPTUTeEnOpKnDNmmtNAvrMxeDPrlQ[TWPLR@lx[eV;pundnO]Q[qSl@x`mxfxO=pR]eqgaTadQyyoSAw\\At<EuZHw\\]oLaKWXNgHXUPpaMxchQUlkV`mqTmXiJ]lS]PPoURC`PEMSetqmhsOtTy`VXlo[\\QSpMnmxOmS=Ep<XtJxYfMX[QRfxT_pJ@<UTuUlhwQQL^PyTarPxThxKLAKJelAEwoQrTps`ApHmvjpk`At=ppnyufUobQsOTsg`PXIkbDwcTTiiMPpQvHupQx@]oV<k]QMqtYtQsshs<tXpwmwh_jhdIPjMYa>QZxfgY`ZcI[nI[ZI]nowLxrrW\\hQ[XHba^jQi\\@fnLFhkN^LwaTGknV^m_oaF\\IimuVlbGi>a\\mws`PfcavAXv?nw^XviPd@NdD_vGPatVhpWqrGhqanuQvG^arGeaq^_AbiffHacN>]nQi_xnlHwg`wSxe>frUf[yOoEyyQaax@_NqkJXkyAxVI?Avl]bQ[yuGsbMebuIFieoySEAWlIVVAeKcwVYcbKd=]cY?HeOHckr[eWQaDokFTqvHehGieZmExkUrAt@uWFEiaAEsQRmcxmoWkOwuuRNwyJ_D_]uNGepEsQyEdyHreX[QV^OuEettYyryRi]D\\]u]eYwaEguc_]Coiu<KFqUuQ=G]ieI?e=YIUWrqYuLqCRQtJOwUUg>sv]QuQyYkSvdQW_=S<MXrgWrQRPido]VsqSEYxg]GIyew_i;edXOx<?Y:qb;eiigVieTX;SxCiDUua?fUagHAx>mRKuh;shHSrAsyvsWkYDMyTnEEYCsuSDw_EtwgPsS@cDCWHnYYx]eletmUF<qHHID`ErkMuvutlaY>AsgESeKYFOcVqe>erRYvNGiLGTy_sLmxW[hemtlogkItuwVcMrCCE`sBWKYZmVlubrEgUQHD[fZCGBeu>iS<?yFGeNufYmUrUUfwc]WUC?WlYTTucW?YpmBWCWiigfIEY]BGGYusV@kf`uYDgGU_u\\]s^WxmsyigrR[F_Kc^WFt;H]edYcHHwyjQxfKhcYfVmyu\\Okyypps<]TJ@NXMYpLkY`Y_mLmtRMeKxqoX`x>qJ]pnVUmGhk]]KC_a[pub`bU@wFak`Hu>wi]_aHaa<`_FapEPrNvrUxjaFuaIom`kjV\\@qlIflJ>\\Q`ejv]MIa_HptFnMPaG_gN@`:W\\lN[cQlE>hNa_Ig``ObIAjbhw?VsOHs]`t>X\\cwphnv;NvLqaUQ[cfaS?f>Irva`S_h\\gfd@__fa_Ah?Ox^qspplxxnmwtU@aNQqCYxaq_g?lv^g?hqTvprovDos`pb;wcYgsXQbHf]RQqQGrchg<vhpwbJ@mfPqp_gZpayQ^Mnw\\y^@o[xIcrYqmgcB@uwiwdpsi`jxQeGorbWoXAfupiH?w@HaTfqbh`hI_WGnjQ[YFqgotDp]]H_oxnRwboPfnNiQas_he]iurntlOaEf_\\_b[fdOpb;OkYYnIpsBOgqnjv?wc_[_Am[Gg<VcBamxiejAulyfvO]Dwc?g`xhmwVvmAnkPeOY_DwsPVfDVbminVykDacBFuKgtKFlyyo`FxnH^Q_osyusX`yqgCxbtvqdfr:OomQr_gooPiev`aXxfNtsAtHApGI^YH``I\\^Y\\i>]oGlHGhlpd\\OwsFn@F_OIsWPpCylpPs\\GeaI^^v[PN_@Oe[@hYvyRhk?VkSIeX`k_FeoYl\\apP?lhpv;VifGouggcxqTQdcFlD@`_x__vn[pZ[H]QWtc`tXPw^qspt?WtsWwjcXDKxr;gn[hSAGbIeeGuvwFKeiPiigyfrEBdytpwBjuVGATYghWqVRewR[Tf=unathUvA[w>MR:MFXMfwWh`oHCATXWIQisPUv^WXb[wuIucysGOCUAe>eb;KvJoGCOC@awVUC[eVDYT]MfxMeCefIEvR?w<MinmeT?S=EsWsr@qERoSPiGfAHp=u;IwRgTHMy>?frQymSgBwQ@`k]\\uCYMOLPaxYU\\QhilfHw@IN=dLcIYAAqCxV`XW^IoreJXIsXpyS=tRyXmmneTm`tpVtRxXK=uo[DQE]NM`SFmTg]qnaWllv=YSm<PUPQuYvVIMY<U@aY\\em[HXwMnYeJ>xqSlR_mSf=repxqLMFpOyqXalvaDsq`KMYx]=SmtVTqvjIl@PJsuQ`Ht<pMWXNbITFUxqTRVpJCiTBeQKEJkHO?TKnmuKQTk@TyAuOiJCQu^LOFhO;Xt@ur_AqXpvbiwpinREXNhLDiQhmM^lwjXup`UCIU``mQurtUJHlUUEj^AS=MXbXUS`q_amWPV>]uJTsE`VwIoVip\\mMfqtGUyXXqrpUCLXEyv`TWCyK?pv_uy:hTAUW^yupxVCymUaYhQwC\\y>\\xsyTLdToavKej;un_pQpDV:qsiUTu`qLlpuYmIQq@pquPqP<Pb`VjhUU`n@ETQXYjApiYlLymUdMxHXPdrQPy:xpb=rpHmchQ@aKVqQ=MvHqw]Unx]m;qVjAldhkXiPwEWQIpkTqaXM`usPMsAqwaEWFHnFmPeDM?UVkyRaHlyuVoXMqlN]Mm`<XvTR_PXWHkqukI=ymMmT@mfTXTXUuuo:HOgmrI]QgplaXTLHkoqqMhQgYtZHXiqvFUTBlnZ\\xdtRapOKyvWErBILsetueR=lvgPR`prIMXa]qiEMEYSRUwFHSPHpMHKOPP;hucTTs@jChK@aTxImPmRrxrQYP`Qu^TufEttLQLaQ<UR<XKElv@QmA]NUyv\\mkGTVEHmReptLX?mj;PyNAjn`X^\\QtPU>HU=yOqalsLUsIpMqrAXJfqLr<kDLQiTMuEQdquMEykXuq\\kBAsEUl\\hODIkydrPxmFiU]<WP]Ss=MCmXWEpOuTlxPDUXwtwrMuxMXm=RUqU?ImUeY<MY<`x>Bd;rNatAaB;KswOEpWqYpXO=wapjxIxjQnmeSLTSl]mx=WJpSjDoCyN_lXGUJqhsBEwkllj<OsqkTIPWAOO<o>alkTq`xOcQQh=PIAntlNPdnaunkIpuynChXITQjdW;ujkEXAtn[MkbepF@O`mTsxYv]yKHW^EVFItcUPUikYTOj<okMyNljNTORtMOqRAxV?Ln`=MOxsuHmwdxMA^YYsSp`s>gvhanvkHve^X\\Z`mL^tVI`ZvsuHg=ykhfcaxu^nab_aPGg_a^;`bYYpFhovimwQwdac>qvFgrlVp_^tYVxLgyrQ[e?]W>aDWp`oqwohVHiNFo_nl]I[o?_\\ipcQv<HqNYaG`nsQnFYrM_wmApU`_VIn`AqOqx?Nq:`pvi^fYfXNqKx[pwsKWfb``CPnXNZkCSqdZcHg;GQiGjKYqmyl[R_csPsXgAUY?SIaDDegdCUyCD`OrUQdiYifCV<sXhOdaofZotGQyYWijoTpcdmYIpkCdYY_Syu]GasTKmUn]Y=MY;sX<cY<\\O:urHLykmrlxnxhUSiwO@kWxo@hwtQQwXMYiMviOgprCATOMveMxHHo`ATxxMCtyxmVTYXkILUtVd]pcdmD]Scax_mw^MWJYQAdKXiPgEPIAnMAU]iOYak^qsMLVqiS_hQ@PvH\\SWxu[]yjYjMEuuIrriK_duyDNxAsNek:EXadQ?mOF]qaMR<IkcPMcDOQ`rtMOWPXaajCxn`PTMTxcEwCHWddYiTYdDvHEyDQwgmpd=Jt\\sDMtymPWtT[iUuatDEmlHuv@OvmVfqR]un^isZXp=HpaesyeNn<MM@YgmNWxPUTwdUkqUnAUvNLR_`L`AV;Aru`rxtrwHJPUVbxrFhxSeO]dwxamT\\wXUkgqp?AmD=o\\TYwAtimPtLt_aPU@XuqjKHMQmTZLOp]yWqljasVaxJpr[MXXIPF@oShm^`SMqlweTOqOFXxPYWmaW;mt`@jZynEmSfExsXqq\\xJ@RY@jDHMN@XaAq;UQ`xOeqyGQsAqUCVseGfupqDwwpPwyFv[teSWJSblQfmcYP?uaogtEHx[WoaSwoeMSxEGxmYIywekOxsGHKSEa=VGsUlGcP=WlkteMSF_hVUgIMiL_yBabRyUaOFtCEScTRGDZ_g?uHxAX\\Kf@iVAqEG]eKqW<AuF_RwCtlGeeghLMTD]SP[I[ihf_R]EwCIh^IbOEWh?HhavPuGSQRgGbe_GF_xNaVQGfFwhL?BW;WoqSk_dmUs`svHeFACYQQHhYHeaHtiC;Ss>AIkGtrGGQmfMIW?aHS?UnGcjCHgeEOUW][uS_dIYYyqcdwRc[TfqF?=ej_i>qHakrvKTMAv;OdmIdkkUnsrSkgYAWU=b_ydGcs<us:IFLmVfmvi_CqUgQShusYCOeAeRp?tp]Wj;wZit_axruFmwgjqWmuc_[efkySWe@=imav_aXscYDsttGYbIimYg?yeGQbX=iVgihGSewDh_EkSfaaI:;BB;RLCTJcdWuGAqRZYGB;Cxmfrar`MrW?FwCbxCBOgbR[bBCSKqHWugAgwvyUtYVvaIpwxQ]TyURh_HLIepSTeqs=?uKaR@gfb?iZ?eSwhhoV\\SwskIdUEIaYEYYFwEngYdoRHQhXGRveI=wX_kGhQI[=shaR_AfCiUXMcWYeBAIxAsuqCy;drsg=YS]kCxubxyewwx:Wc\\QwQAbIAYywecmfR[HP[gb]TnCcTOPluu>UtndRPppu`p_PqLqT^@UJ<LJ\\RNpuQPq:@rLulhHS^DPK`NiMNC]k^@KTdrDhPZf`GywqGmiosNX`aasfFswxxwxuwwuRhmfotSHuSHuSim_aamayEYxRXoUN`vnnMqiU?ZBQ`\\vyxPjLVuZAjxQZcxypvbwvveahYi\\FPbwFbbAb;okG?hRIo<FltosPibVp_jRIESjwXqaHWiC?ADm_YMEHnkg=QwPgyJ_FTUSVyc[wCd[gYIX?uEuCGrCwdEFXkWGOeR[huYYH_YMIg=ebU]gZchGUEh[fjsrDEx`SBBesEaROMCDGfXGBtyEDGIBqveyYCsufMEqoxf?i;yHWQrE=r;LpGlJGYqXyO\\uVMisDdtwqq`lpxAKBpLPAWX<OhyxcaqSESCHnQ]VUeKPuuiiN\\DQS\\qWEYyxRqiK]DwFhsATVClmiLN_lX]@j?DWK]vpEjO\\wiEQk\\t<Et\\IRrIY[XsNHmY`WwpvdAnZdke<VaYJm@nHDtitNXipb]KwIq`TkbuuyDm:PPIinoYOwiUILPmDygty;ukSDvvesTYlW@myhNuiWGQkrTty`wA=j^Xp_`TKQUDyKP\\wG<jwuRCUqWxqZHsH=UX=NC=Nahy?eOePJjdmkMR_ArnQVZPw=PRmLxBLLk\\JTprFLk;Xy[dYgQpZ]t:Hnsao:m_XfweYh^@nlGkHv^O_umHvkgmpYm<^pB>`VP[bY_bnpOI\\jhjuhiKP\\rPlX_lJIjvagUfm>OtI@wSA`aHpJP`Wwx]PvuovxQk`gvKngTyeWvtxFjOIc:x[^^ih>loI\\:H]B@hagZkXxDpmJHcLhquOwJpag?ojWpO?t`Vo:O[BaZO`bBalChuMqfUgc>vnjV`dfb\\YmPgubfrqcqKsdEUjedIMguiYk;C^suE;ekeV;mgc[CpmXWAg<iuDaFHiVNkvFSbTsTPwIbqtmYVgcRDSu\\ohS[UCqdUuijIV_uyjGc;qs]YRGyuGcHmQTCSDWsSYeWO[wM=rnIGDWcQSIR]wnWit;CeCc`[SyUxTIiq_RGqU:kYxCCE;chQeqQc?OYT=vmyU?[exiX>UyxuE;USdyT@;iv=rHCI]\\JGTXrYQE@nHaqVPSVUtyPuw=JqmQDpvL\\S_aU>XLuqk\\mL;EsHaJLmxWIWyEVEQo:MRsqlWiunQTJPwweQTAUw=TYAq\\<m:XOSpTK`RW=k_pmtDWUinsDwsEO@HJTUyomQ;TV^Lo?lx_yLSQwB=l]=oaQYWIxvMpBYT<dnfHPS\\RJixFqJSmPeYNHev]=rftWFdJcTPPYPIxMOtTR]nNTUvdjiILUUjTqM[QMHujBloYTWT@YUeXOHYfUmN\\OKxNNDLBTTNuSYLtmtkGpT;]q:toO=TPTrAEWcXNRlOetoUtMbxqX]Nk<L_lw^<WTUyZxq[yrLLS`lV>asPuubdoxHK=`y@Ym_pMqYWWywQqtWAO]mMoqvj]TsuqYXxwqqlTYlLUkuqiuN=]SCUvIETDyJmhw>ir@pTx<ncqqKUjjdlL\\YQ]sRUYDTMfdMiQtueqX]TwxLPYPMhoOPxrAlC=XAEr>TNKhpE<JMundlnRUOh`KpMJTtLBxjmyKFqYgynMXySXm\\XqaiqdErHUSjqxYHQ`xyStYy]UL\\l;es:ulILxUlUBDXhqVxqO=iMxlsdUyUUyHen=]SM<M=UO\\YMuLLNyynAUhlK[QKMEkJDn_LXx=UOeOKYqclPtMvKMSN=R>irfuUHlTW<tEHV=mXlEQR=tjPNRinu@RPQv<US<DqXtjlikEAN;]tnavEHRK]OmQkAMKwuk^iTfDUiytUxj\\iq@hr[LuiXx^IuG]QZPMRylQ]VupQbxQIXUNyOBDtWTsUdS]=SLinTlQJxl?QNb@mseJ^MJMhmIemCtpsIRkEMK@QNmOnUt[QxrppCupVtO]<mltluaniqPGmyGeX?Dt^]jD<PlUQceyhYosaw?@nJyxIpQgmJ>=tZMv:@mHDlfpTTTqF]YVQMeMo[\\vx=TSpOKAX<pwePWsLPd\\TydPjHqLmWEeLPHPoMLDekTAVUHOk]Y[`VCxmYey:xXQikDMKeHx;ir@@J:inRirZTxlyjndQy<MKmXM<VCxSZlpoMxi]qBQKP`wpyKoLKS<TxIYHYNHuni`pBHUIIoH`s`ul@Tus@Rh\\lSLmkpvTIuw`Ubux;Hujpjb]sB<LL<QPHs<qQyIu]TyYHXdDouEm;=tZtlqYxTxTjTP]\\WBtX]hyAiWudTBAY;ElJuoB]oyynjDTXpWp\\lbLMSyRMEXAPtYTtvavstJlqkj=wb\\WmXK>YVa@Y_HKAqSVxxeYmQeJ]@JTHwO@VOYY?LnSXP[pRE\\nK@ULXpDiyR=OmlNZ@Ju\\OvmxuLlUmq^\\jQqp_=pmYoVIt_Hv_Dt<yQpmTkTM?iRaxl[ULLHPu\\NWhYBaOCAroer_HTRmnsMJd\\Yg@XKhrHYSv=sQ\\kVqTYMkS`pXmwSDSvHO`=nWHQN=rg=LHDXNaosEMEeQYlKLyUMYV@IOrdQ_IPAUyJ=j[yj\\\\yBLTQqWm]jOtPiTVjXtnUnfHU@yRWlMRUWyAjYPv;tqHYM@LkvDJKin>=yL@OL]Wbev=pUWyQPEVxpmVtkNPq[UJ^HyHUtEuMpUwwpTApUt]sDijs]xGdPZaNLPLnyuKin:MP=uLATubDvQ<QkmjWAxSqShdvsAvfyPZ=upYqq=myhxupLfPpJuSE\\YT=Yayyv\\jU]UqQPQmRNXs\\<WRXVqmRuyupDuy]tP`n`myRaM\\QwuLvWEVftXAem\\Dopyy@\\RKmyRETQMnbxOkTn;xjU`mJpR]mkWdjgpX;MLkPQ^Uu>YuYuwi<PgPt;eW>xToMoqUx_mrc\\QRTqV\\si=UkpyI\\yO=JjlQULns\\lEaQdml?@Somv:HUgpQkMVkXLe]pAAKR<NGhR=PylUKguPjTStUuGLqxauKaPsavK]ufHQU<q]hVTaW:uwuHwnmKxmWcTpp\\UQ]UN@R`dk[dvGurEXvTunBqU\\irqqwpdSsiToEl@yXa@wUqOQTnaTPBLS=MwseNItPsDrJQjJeuEQMDysXLsITpLijTEwj=YMHqmHv[pSFYSApNWPqC<YMDVLUxZ=jkyr\\Eq>\\Q?XWALpUtpvAU@aQFqy_AnfPODIqTXPGqJr\\pEii<FtE_erii\\QmvOjt^yMndhwkUGqxWaNwin?oxGv>vlxywU>jR`qAXiGIm^`AmHKMRR=Ytgh]ir;qTNQyCWytmInSyGmVxyfiAVkiwWYCPUUjWtL[io?VayITKrgkgueFJiwWQftwTmUeQmbtsE^AcOqVuycLqXvswJSUiADYutPsw`ueRUCS?wHUFU]DBESj;yyeeAYGFgF\\]BL=DaGVxYhiMGduT@KuUOC_KVwKtRmgRkd^GGceDhsEBSVJ[TOidikwhCDnIVqMXw;eQui\\[rgWIIMtwIcygh`YtVMf:utV_fK_RbwVgIdVSrL;C`MuXaE\\_yOaUjeDgkBqivbiWq;c;yS\\GENor]?iSYx<qRuqeqceDIBrUeD;BcWh<qgckGBOto;ELWeM;cQ_hg?tqQefwYKeU:YRxoV^Ecj_CkcR[WwckBWUF`[b^eYIyf`UX@?vFsbZGqmIkuDKl<Yelr?ijsdwrAV=ix<]v<HSnDJ]imT`P[Tpa\\mm\\yfPoAdyG]YXalyEoOhWjdVXlxILxl=Sp]oVUrx<kf@S?lMfpYjeWQyk_QnpdQ``LyPx[twhyMdDOK=MB<KwumnQxkqUwtte@pT]UXeO[EoOpnq=ur@uDimsEvUHnTEkNMJL<M\\`RU`Qx@vpMqoPTV]Vylw>ImDHvmdMflXhHqkMXiYJmutjTmWYPyiXElKS=vMQLEiyYIRJmJuTjVuug\\oyePaHY_=mMyJSneRavJiq?qy=atWv_rnrOIZxXd=xowYdfQocAkLA_LOo[>awYZJOc^f`qalZp[:p[IwifX[?Vv>^wvXbMGfUP`BIrN?sINm>>ljh\\ph]?f_pGrHgm?^jVg_:YyfFkhyaspw;n[`ogAVheA^<pvLOxVonjH]qaws?_aPiSqZipmVFc=Ao^XtN`yC@t`gvA@jVw\\q_hag\\nQdHHaNakrFmG>hCGZLgqbfhp?ujPfJvr?ooW^j@>aJNrwvgtf[HXgkpq_aaBW\\dYh\\GjPfbCGhqqpeAvRIsMqhYosKN`K@_yAk_Wn?_l]HhaglVInvnvYA\\e>mKhsaGbNwfopey^mIGfgqm<?gN_\\B^lXWdTVqUPfm_mTxj<`ky^\\\\Xe<^c<vlL@_kQ[l>s\\ypXIx]Go\\IbK?djicP^bYqy[`[uAu\\@xJ`cPQk`VuHG_nIiKhaanoP@rvv_kPxrQiBAkOvr;hjMfuuyoPIkAWfYqgHafQXtQP]s@`Fa[eg\\FVuXxg`AakfjwhrrIupwaX`w^?pmyn]YyhimyqZj@c=YeZYxYgktOvevy>?dDI^bVjW`sv?ktiqfqrQFuyhvKH\\:ggkxwHgcVGvRvdUQ]iqwJ@f^qa[@t:oZyId^pw;HrrocTXxyxyKh\\_i^<Af\\nkZqxofrgq];nx@Q^^xdAOsbPc^iu?QaN^ZPpcWFygnhtvvHai<pmlxoTpeEFfP?opYrLYm`hd[Nwh`eCne\\Qpy_lSgkrGqeIm:XkXwjlXoPhjtwx^WZC@p;`bexk`hpAOpRxdDql>hoeisLP_vXfvNljOa]Hjhx[hidZW]ppqYns^i_Bvry`sJYvS_\\Z^vSWpXf[a>DkcMoHa[YEIgf_tSIvr;ykURlGIwmIx]wyGwvmWVUxnWUHyvJKYWYWToxmOwvkGWyb]QDNKTjUIykXlaxNWss;B=mWFSy[yyKSD=MhhovLKI:QrA;s]ERneiOQYLWslqcW=uQ]SkatmQU;KgNSrB_HhAw\\mDWCyuIBOYR;oFxWfN?w`crCyxXyEZyGpes=]inAveyCkiR@eUy[dCKe@;rf?cvKDBwv_yV;;UxAhIusogIrUfaYTP]iHSRiAToKGHKrdOcBOS\\CTHsd@Sh`ORZaIymicMyneDDmilsgH]e_AHvMiwIvSQcYsSp]Irsthyf]YYiYeyqf?SIyatMyeusxsuBucV<IDsGxOkvs[Ss=F]gx?mSKEFLqyZUW\\Wi]]ikgGXYBOmrUyFQehiexLKILAy>wd\\SDtmGdKhe[DscvD_uleRXGRKwWJ]D:Yumebx_SK=Ud?GdcTNsddKSD=v]_h>ETP]u[yvikXHIC_cDFyEqgYGETuwRZCtgsbo_Vr[HO[hcSbcKf?SDiyxZSYoAWkGtMaxt=cdiwVetuCi>CB_SutCGKisRwBQsh=GuoUG<EBSmD^]yU=GXSs^SyR]f?sR>UE@kFfkihASPEwL?XCeWKGebCGu?gY]DH?HZsup[es=fQyHVSsFcIPGGcWE\\=hmKv>mff_TAwICaTU?x[crsCB_GWmeWW_HjSH=[bF;GFydyagtSshiH<wxt?tliUjaEgkYS_FYAEPWv>iEGQC@OXswcS[WOKBjay\\?uhKFcicKoXvMX?MITGx;qreQYDsW@GDMih>ID^IiF=uiOxJwYayC?auDyhR=D?KdbchFibGKS_[cqYwxoUH;HAUHvcVEOEwsepOx\\=hmYs[Og]SRO=BwiG:CH]MijIDqqyech\\EgTSYbGIM]UHuUf=ewcTwmXjGxvIy@mBusGVWHK]HpiF:;VoSuxybMgwvorJayosiXcuaERZSCvMUjWxyEe:OXmCRhyWmssSqfQWrWwuM;DNkiNQeZIB:?uOmBeOcpewcucnqrfmCc]umoEeyb=Kc<OtH?VgKrdKfVMBB?dC;XwkHfwrVOfCOXMmWAur`ObPefH]GigRhEdbOrpWNmhUBlTVTSUpuRAntUOQ]QBdSexxaaPhPKoTuQtSHLj:iyZmXgQkjDLutmITtv]l?=VL@jymuAPppaOEtPeTm:iwh=Yl\\MBUs\\eVOIS^\\meyMEtjRIsjqs?Ev?TKClrsHnyTls=lompjuofHYKDLYiV<<RDEPjatmLvdPvFyxDX`gqjfysRghFAfenfGAb`nk``u_aqc`amnsnVlSHqIna=NhinecGbbaZONojguIabHG[]fa>gbROkr_^nVwDo`xwd;Hr[FvkIoYNsg^]Di[lP[C^fY^bOy[gflM?n^g]Y@rFid`f_ZGp<v]D@w`arDPlJhaafcyhiw`vWnx;@ahninNk@qi@Qri`lLfauFw_y[uqxFvdvYqOxsm>x[iir?olAxJ^f\\Xca>ioqiYgjDQjb^ofxl\\HgsGrgawcp_awZU>_khuSpbtPbMvf=qxOXwaVuZWnaYnDxmHhhlVkqw_tWt<gag>xsys>?dvOZyoypi\\VFbEVg[gc;?kEYaSgsi@h[^eB?bWnuaqpcgkqanBQyr_oDv]hogYHeXq]hyjn?ebF]fPfB@[YQtx`obhig?^x^g[pklwjTfiUxbJnnNQ_nwqCgw?H`^Hr_n[:fofAsoFug?jOnpeo`RpuVAnTyl=hhX@[pytuYpUnd?PcbqnsN`DHs]^qJnosA`M`rHOZw`iHffPo_E@l_AaS_wvO_<WirVZaA_xyblNcP`bFptlPdrAi>pyk@[mxte^niVb>P[LWoBv^PAaD@`UonGikrPnrfk:v[:_ZwfgOqaEa_^Om?Wd`Aq]acmpgcpc]_cN_fVPt?oh`qpuIwgVd<I_T>lQWd\\qmG^^?PpbY_LicBftywm=i_Pf[_A`IPv[`u:VoGnyPG^bW]ghdBHfrv[yh\\]@c@FoSvomneEynBWde?bEhoGOokIb`nmUPZVFesOwsnajXxtG\\??oTFk?XqWwtEoeWvqHXyJw_=I]xQqf`iRWuwgoFVomh\\iyyRHgShliyf=g\\Yx[O_ik^d[nuqOkyG_\\VeW?aCWtyGq@OejWaOikS?am>eIitefcYpox@hpHdnFd[QmKpc<g]\\npYf[Vyp:e>gWiAdVyvY_TbETxYvmSsAuy^?bD_GSMxTkUUAvlqShUreEEgsgfMXtudsYBVQwj=VqUuEasEeGkqUHEcu=iggEMWGUuhtAI^_TB;g=syk=sn[h?ggo=shSrKCsx?f^gIRyuXuUF;BPwi^urBsblOrpsi:ublQRZCsKEBZATM=t`IDfAUU=bdmXJwU`[GKKWDYWKmgqMH_ISnGDjeWqmV\\=DNehqsRF;EDUwk=TjADBQdZ_Hhis\\IXjStrOBlsIPSICQR^CYCycJoG?YdQobawHduiBAFgsUZqixyRLYSP_WF;wGurI]gjEx`Cy?KUyiWtkf_oSi=wEusoguRKuYoCBlpSUKpdRVtSQPwd<JJpPqUtOdrcDqjLJXHJ?<Mt=T`mP]TJDQtTXNZmVK<S?aW?QjUISKDUQXpFiVwDtg@J?]vXhrylOt`VBlvMutSeWJhmL@WFQR;DkfeJG=uf@kadRb<pM]R?ILsMR<MuN]lD=YRyqeQUkTXWtuwpTvQs=AP[LyxipLxlXlUqIroPLKpK\\er>usSExsPtXHN=dR^iP[YUidmbiuuepL=QM<xuhJq`oixvZeMimo\\LUaUxbYQKqRsew^UKmTP`]Jv<PYLMShytiWaiuIHuS=vaysE=X>=yvXTa\\nKYxain^pyxdw_dlpIqJDRYqsg=YWprl]kKqxALlUyUhEkmqXD]o^AoXXvhPkPASYurNPXn\\yZge>AaeAdJ_uP^]ZAdR_^fXnCGoqGpUIdLqybB^;b`Syt;WaofVqD_=cmGGQcXs?v_ef`cRbkY>[ueSEZeD:mGuYhTkT?WipeVT<R^LRCDXQHNkEsPDV<=Y]tu=EwOTspLyoan]yrNqYXpkI\\ur<VA\\MCuOXMpc<pqdqBaMdMwxHV;LT\\xo>IS=yx_hvRqWDdwIUNJIJyHNZutaxsUasvYYSEPZmp;eVBIV:QoGqVRIX:xOban^POjaU_hKm`XyHWHiSOAJ^<nGmPBLvBPPWEs\\lxXUma`R^xUDAl]QN?MWrXxvISr@\\MVroydm@_VObXVhkV_WNs;hb=W\\ZijXWs<Gg?Ahh>^DOg_XfJ`un_[Pf[w^qXahg@bd`c^>qrH_Xn[haq`x\\FAo_ivo`ygPr;>wOVZXOf;_x?oxsXiRnhgvaIHeVpit^ZohkPxcJQ[[>\\NghFGd:VlSNrjgi[afiqyEgdBfuSxvsptTnfcatZgoZf[IYnc@\\]inR^w^y[oNby>`Ynjjwisqp=HrHW[oaq=?uai]uwjjy^yIjl?rY>vMqeVGgIwkSF[oGieVn[gt`vvwasYOf^XvuHsgx_AWuyx`@pnLPvXohXId;WfDx^RA`E^]mVcUWrQIa^wlZw`oAjZvlNFv\\?wJoniWeU^wRoe:_vb@u;hrkp^yht]gq]H`IVwD?bbOkC@x;^o\\olWVuFox[OopagHr`SijcXamdSowIEBUaUqyVPygD?XeQs>KHUcWKIBuev@es;=C]eHekHtmXaWswur^cg`kYAOtDydgMxeISMWb__tY]c@crIMRrUGTMRZuVjytc=cEIT:aceCE@?fUWrtYTsMwcUi_KvRMG:qsYGrHYcDWDBAh=agqixJWvCUgPII=qca[vWseb_enIBMYfq[TaCSqaWTOdVKSp]V`MEe]euUUmMDHaSSWekEcIGIA]SXAe?sv_[tM]T?Yf:CUpasWWC?=xE]Xlkb[_WHYx>yD]YfOUrs[EHIWfoHRsbmer>CF:[RqiCpueAMbe_esOtN_tfYD_SWsYbxwIV]xLgDaedDkTj?rsIxJECJcIU=w_YDPixvuU@[RpCsY_sLyRvQYi_TZwCemgZqdoixnoxV;EfGemcS=YSnIheyfGaXw?YtoeUQPp<pDtxTIKM\\Sv@pAxy_YupYYXTTR=pMQJYpLv`yyPRJuwp`qwtWh=XUYM`QxPMY=QwGmsiakKdv_ERfPv:qkRmJ;UsSxQoun^UREqtopScdV<<Tl=KTMtTlviAmW]K>ARa<Xf<OdeKH\\XNyL\\YJYtpIXVSERexmHIpvtMa`o^UxVloO<NptOttP_aPeTROpnf]PxUmVDVuYndhOEMWamNmEuNTQI=JjUuYHTADLnTJq`NMDpmirGMmILtGAs]<sjXTLYkCYYd`OUaowaOGtR;mW=PlappRhq>DRwHoVio:pYkOqiXd_famNv;_Z:`[eYcGqpWQ\\XymD@pMFlNaxsWeh>_xXrEWisyxQhx_@nEXc;Fcm^_Vaw[Vtvx]Owukhhp@hBqqcpyhqy@IifgsK`_^YkowsjVkqW]YfyGWh<vqVAahNlgVm<viLn[bXi^WnxQc@fjAETcBs]Bc_bCCv@wwmGTVkil=ciQE<gY>mT[ovJIdL_yn_TPUEF]WXaTHQSC?T;?GNYGBeFReBqeCEox]yG=ewuEwnItJEH\\sd>[xDGR]]G<Uch]D>cSWibM]iuyGlesg[tvSWImVOIs;QW@SIIueiGDDMcrUglkvBST`UijuWtew>UtRkT@yy;gBHuIyUu@EUngWg;xcEexycK[HJYigsXIQeGkWj?VicisihGqsiuRtciM_ulQWnWRQSxQWEe?YiuRfYGHIS@kviqtsPp`ASgTjZ`lFeV@MtjuvR=TRQMV\\vR=oAYnjmVh]vk@N^XTGmWExRBXlktT`Xl:YJRPpcTu^`KMMmZtqnDQ?XoTMpJ=pQXrydXAmV]hU>PqmTl<augHPP<kUYXDYlZ`pkinGQmqYtJlVumMFUoXEpCYoU]kQPTrtl?Ak`Qu=EoF<XlTWnhQc@wBinIaWSdweuKtLlL=qnLPbxP?XyTdxEXNouU_`yK`Pvtq`\\qidj;qSkltGqoIAUJDOXmJF@N\\ltBXr^AlMIXeplsUrHurkmwBaQIxPGyVXuyKeXV<V_uTVIsFXWRxXEixrDL^hn>MxBERfamyYm`AQ<duUqUAyrHemYHYkdO\\Ms`aoEHW\\DR_<POmm>dr]EoNdR>PykDo>\\WWtXhdtJPl<ds><Yudv;=RcHy>QlVhlltrK=Ugxw>PaJ>y[QtA>fOnZSxwIf\\\\^vXGa;xeyay>@jIxqinbQhgsarogaQWc^I\\TinM`pwxlG>Z_v_k`[e^xoappIf`ocFndK?iUYp:yeahslAqrOqhOsfwteVZoYfbOg\\aeQNk?qsAv\\rvynigE^pOGi<qu<gagRTmfyYW>cV`MXeaw<eutSXdawLQeYuu\\ayp;vDIXSyImAI?YiCWuXeT`cdKQfLQiRUudadS]uLkEZadW]b?gWc]e^=vl_YjUyl_iPgheieDYxB=t?WdMeSHUcAqBaUVHscU;GlUc_ATGMSRut]OWHad_CR[QfEuR@UbW]bEuF@mG;kbWaw[_uqyfOqgTavXid@wCWqrQwHemC^GvfybsKhQIrNQgOSewWiMEc\\GFFgdD?wEqS_Us@ebFAb=IGr[T:]BWMDS[uUOB?MDZkXDeEN]s@EXcCUPYH=qXeSHq;grkHgWV;;HUos^SRf?I;crsuvrUt<WwdWVv=vQmdQaRZqb>cbjAegiu@iByOWHGtv]rOwIAWuXur@qSW=RViGCUhXOBoaenGUyEIWOFN]bbCHyisxEETIc[qbeGeR_T<KiJ]BXSES]E?iyhgBm_DZOVmqfDMf>CStCuCOiG[rNiHN=bBcFPSVaoTH]CdqyXKi?wijCHbYviDTRTy^tWB<O;EsI`UIPpXXTwQyi\\Tj<us]YjPLc@OFImhIYtaUotmBhveqj:atSqWQxJdAV?AtVuleurUDUfajcyskTNNiQI=QR=pMsysrnuVnChB=DNGrHAHQqcfQY?MWmYwKosiewdmYgKukiEHov>IGtODqggLmwfcT`sdTohhWXHEG;As;SbZgRgCV;oSSibrEfJWT;ERE=hHISY=bKcSXCDWOslUUvQRVWsmeRDSSEEG<?WVkbdUWO]Ye[fDadc[W:UBC=UO;dOkh:MGU[rWuHPCRqSYneflUGGwghEtvwddSf^_hNOgD]HpATcgwmGd`uiRuyIyXEGBHEeF=VjIdWQy_;XAeUiqwKAVLOdC=y`eGFOcbYu?as^Mh:IYXEtIiws;gbyhhAUjErxwU@=R_?uCagSKXhyhdmUj[wVyrwOIXahjQidwULsC:YwamWtoxIWgY=XEigYmUw[XiGtpyDGuiRUU>GDtWuXiy]uxRqcX=XEEsloebyCEofBKfBMwIExCYTFWILARmCH<AywmD?MxQ=RPWbS_bvGgV[UOSDp[XHcvLMr\\;DL=ejKXuCVw;DSohn[GFIv\\yRQUCyqHKkv;uIsOCekvPwIL;umefR=gXgddCyCcuV_RPYtPQuqAyZeb:qTc[sQiRBQYHqbGCuQwBdurJAvKGihWrAYEZ_igQBRoyvIyeqvumej]hZisWkHS]wlwyFuEAWe[=hMGYXAghaScmY]Ugmqi^qtQAy<Cyk;X=STFQIM]PDiU_dsKpyRUssluhiOpdY=aXcERxTjZ@RbIJOlRALUfInJdml@yXYQaQmfqVI@PDTPHTjD=KhDv`dXrPokTLxLmlLmNHLLUQm\\S]qroXNwHrhUL[ds=xPtMsuYQS\\wvuP?mV:mrIltXyJMmxf@k>lVVLsbQxyAkn\\QQDWPTQwyQUisv\\n`<W`iUoHjSuJODySQSnPkRHwVPnI]wy`nbIRuqQeqXU]UFQVnET[Hl[dvKUo`ijFay=qn?xtNuRSEg]h`=Prq`qcqtqnoHqtF`vJvyGQmeyZ_YjjajYppZVtDyekgu^istYcc`\\cge<XeOHbiOpAo`Tno^XfsVcVAjFOgKY^@v[>wxONeoF^Far_icCiqbVh<Yb\\H`Sfcm>uSixwoa_FwXgvvHs`nZqweOY[;idxOihIl:_sFW]o>jlyqyinMxtoqedf\\oFkbOiKhxTijPqiwYj_yr@VsCpeII]XynIqwKNq<GyyxoEWZ@Og>xghafxa]Ay_JW`mvawWftxxCvfZGgnap:yn_OyQFmlN]gq`cXapw`yH[>fb?nvKvv:A`K?lZ@uiOklyb]^\\DqwrvfdYm=Yjkqtt^qw^e>>c[?[mo_EIgXW]d>a]NvrXceVgl`cXFvVqf`vpjWle_jxIxgfy:>ZZ>:@^dpaMgtJHjGPo:vrRN[iOtawmWWaLQwgq`M_nPIZPyxBv\\wnxa@]Qgg[o]TpoNF`:AgH?lByvZqwDi\\UG<OGXwuTmyq;yJwYiUwHCRX=wYYhE]RbEeI;grqUncguKdFaIDkd>EsGAs^KBE[ixsu\\?gBWfCAtrSX[]tSerq?SqybYGBVEwBshLMWCmR]CrZCRnwcSatDahb=UoiGhogZmsEaCBedvab=kue]UrYh`AGJ?bhkbiwhwuc@GUAMTrweQ_S`=Sn_xLcXACHWyE\\gBBsBQExhOBLuseGErkiLoEaMDjeD?QBsWtJ]SBcwvqIACgs=Snqx:_WQCv^IB`qHDuywQCFUxyMY_?Xsaf:qeEiR<oVJccw=DVOY<YFvkVggwU[G]swuCvksvHAxscXpODZmVYWtf]IikefGvlceMsvsgUukTykY;WsGWfG_sxwxwkgn?VagBxcGMyiDCB_mfjsxPax@er`eXASHY_ulqF<=trubqWvukTaKGZkcToh@;e\\SBGUU<cSUObrGrKEeS=tVkf=iD??FU_GBYWHkCKcByAHSYU_Em`uqj<NktPPlrTTlA]jCiQ<eTUHndXs:EmPmWZlTqdnqLOqDJTtTZhrnPkRiRqpkNQQuhOllWDUV?EMLUye=RRuWDIW\\dUkQrPmv[DyXapyuSPqYL`qHHYvMmFaw\\yYbDq^EUNDx`PX`QkuTr:<pxASlmyL@WCxoaHMwmqAQn]lqWIms@OTHYVHTvUNKHu]IKbXrqltgukk@S?XN_LlSYNS@Opik]djUMmVaKMyqSDqcqyGAqTiRbAsqIMQdyfHyPMsnESveVK\\xU@Teio\\Ds@iV@pn>Mwilw`@xE=NvHNLywOqSTaWr`m`DTohL;QmJqJ\\<MaLyRMoCHv`lOiMSduv\\Mq<]NGdL:]XoarGdUQUX?EXD=NTnesAstqweFy:`[b`itGeyaw^@^fq\\;?p=Gfy_mEwnryxX__`qoOYvPYwXVpXwhn?pnGvnfgyIyl^_UNkSYpjXg`_spQmhWv_^o[yiYx[i>hwIxbgy=VkNQxy`eEaf;xcEaxIq[[qt<adDAsRHlgNwpo_N_^Vq]I@h]@f\\hyUYaR?\\OgnNNoLgx`hc;qnGHr`@[W>rsWj:?_OhZshs;Y]>AeeFn;V[Foi[q^YAhMxcrHsu^u^irvN^Fomv`iWPsRHj@heFWuFn];incfk=?d>ahKPspnnuv[jwqe_erwsrQe^HxohoThyuh`uyhOaoTQcZf^chgEaoc`eCAr[>oRG\\_vy@apYv^M@nE>e>fuSOpfNe`hZB__dymFpr[g`^AsHaq_F`bnvAh\\cV\\BXmsAeFIg?yta_\\YwkdNeEH_tP[=iwBFj?PZVqcjfax^ntQervgT`jFI\\ZNwfXxFpluWkUpwYwkehiVNg[Q]YvyCWxoNb_Om\\Nfp@uxX^Vyp=A^bqZBNnlOwCHdt^j^_`cgpGOe[Wv;pd`gn`IlGoreFgl?d>Qjk@bLIuCXbcPf\\?eaitfFvpYZ:N^hX[Bgnu_kVXZ\\qu=?yOWj=wl[vZWo@KfB?XE?ergUfewyabowyqWb_sRASSbKRHSdakfmmVtqetST;ieIasSquayBZOxQirMctVqBMsv=uVJyEHotw;iBixawgTcG=mtW[ISMGiuyN?CDOg\\OHdiEpCipoRdWuLWEgQfOgEVcyEwXVyDYQytMbwYUNcRaCGXquPCCoWXOEgJaXMkF^=GJaDhmivEtN[HduR;OgvSDOYhDkDG=XxGs]UfTAeHYvC_R?=sFEcJ?Fs[B>OCUqcWihpEdhieuGYF?RGKGiwRcmuXiFDix[?rZCUTYhaifbUhaUipYrW_smGv??EgyRucsd?Blsy@[ETIUv_G`;hauFPmt^kcsOyaohcqCaCKlmjVDS\\=LnURiMlSqwIaoalpktyXPTveRtqkCaVpAOj<wriloUwMtLVpq<TnQuKG]PglyXexO\\lLxTyeVOAy>AptYO\\pOQDmIMT`YsnurStmrhnsQKe^^tWh\\fw?^d\\P[e@hQqiontj@ai?`s^rTnu<`vY?j[ngWatbfy?heNnuCOjCa[kqu^Wlq@]hfnZqu^?oZgcX?]fFlJNvXwdGOu^OqLHBGiRCVmmbJODQYr=WxewF?gXWEs@iXuATHqY_afGcuQWxjedxCrM]cXmI?urW_rmST<oir?gQcWkgg=OYi[DgkhH;yt=hRcDMcGVoihwyVEGdkX@aBC?vvaSUsemYBOWtaAYY]IkwbsgY?gD=UxwCUfagWSrcUuhkTUtSE\\YxIOaXQcPxPaO<pjraP^iTt`nQYQhmXgEj[\\UMPN@Euh<vU<JvuSEdqMHrKMM>uWsURWplIqKN\\pdTPiHO\\\\ROhmE<OVlKcqNW=mDumGxo[yJSmJkey\\\\T_IMlUmbExpyU`PN>aShhSchxDiOhpnNDKtLvE`O<pWoAwVijDETGxW>EWXQu?XKOQYhyShpUOdvOilVexd]xYlYsTWuHN\\LMP]rbuQFMNdLX;lji\\wDAr=ES?=L;Ul^<ydxY`UmhYk^LLhEyMFvBqkVi^UQbuwhBOqyVpX@k?AiRF_JX^QfoOFgKH][_Z`Oi>ap^Qodx\\O>xFFougoTv\\IVqnQnipeHPsLG[:GjEYkPxmBqbNvae^[;Gmc^fT_`=@nJytMQaDVaj>bO`p:@pvv^np]c^cu?kb>qW`]c_qVPctwi\\abMoffh_Pqw<Y^dn^g_wvPl;>Geu`KDOOF;]RJmFp?Bj=sAqxtaw\\ErywSOIVQCRjgrpoCvQYj?S>cUKaf?WbR=Y>GIm_haoS=qgJIUpkiaqBd;HqoBxyXweyb[gXKYZIXqSSRqt<seqMRVWxH_rKmC;uHrataqTtOrJkgeUXdeimqSMgYFOhGkHk?Io]rq_gC=XVYc@Cw^erUEtUGfogitcII]s<EV=[F^?e?CUGEr[Mg<aGlgUIoFoMXjYINKUWUdPAwkGUg]S]?Hi_WvwU?ihccfXEEcQWTiW@=FXoFSICGUEgAFtKWpiF]adKcCFiTeoR?qSywxM?D[KV:WD@aWuWd^WFlCgX]RkACtWfbEup?fXgErdtwmq=mOE]N:HNWLY^DPaESf=WiMNtXVBQY\\lw^PvB\\KeiXfdRZhNadm>DJoMQ\\eul`v<XxKDK;dm^MVH@Jh@oH@mulKgmSviUfLl`qtVyWVMYMUJITQhpVCiOIYN^`j<Dob@j[<wRUrLYuT=qQAucUSmyJqmLFlwNiS=xU]=po]X[ij^EmFALyqpTIOKmjEXqJ=p;Pr<pK>`wY`JYEpI<nT`sJusnLTMQSTis<EviiOjesOYl]LqhtVKMVUdoNUrI]xNLvuYUZlygtmtpqaQVxLQAxnapJ]xXciMNYn@pSXaU_mRZuySQVD`tBxVX=pSf_maipafsVxPVtaQyV_yhPlqg^U?vsgwb^oXNijIhRvqwixEpruxmPWejnvHnmfFqIyaqNjl>uSNwWwmKWoVF]=wbtp`mV_qOmV^jVF\\ZY`^_oZq^QH^UioRytrH_>HeLwf^a`@xj\\`xL`tHa[Zoy:awK`t_GwGXgqNkq^wROwNin`fl;?dchsa@\\V_jXvtGWqeilUgrdGcSxppxbAOpKq_DHrHgsXaf`I^CIhPwqPVdoPa@awq>vuqeLxw;`^yXZCOr:N_gIlZV``PpDVeKa^EVxmoncOnBqdT?_>vp`G\\nnkS_sX_]Qhprnw>PvjvdgX`Zwy_h[A@nrgrJ`ot?kUx]noyLQqsG_P?buN`SapnQpdA`mAlUveIFqvGgOApNae_p_K?huAjkGwGfsQPfqV[?WclPo`WlZxhSnlxqnwQlbYf[apPpZqo\\HnwFNpHp[^w]:@yO?stPiBPjUoyF@^oaqnXerHd=Qopgr??^PX[KQtho\\?anGgmQXt?Q\\kOm@>bLOuG^bY@a;ylugv^AthYcsNllNhZN_AFrAyvQNxKyobAsZGZJp^rFw??\\uVkJhuRvxvvfp^`cGam>frViLA^@AoSYZxNp:YwTItdI`]>jEVuxQx?WZ=hmPNwcGfYplcyetOsSYvDaaaxtdv`uh`kV`KQw`an@wZ`o^HIqgWimP^;IoWXl\\afrPglhiaqtpy`M_\\uW^qfo[o`jGsFqgBv[mGsHqrN?kbgh;of]?h>PeYHj\\`mBNhVOsLQ]vq`s`laHlpa_l@hhnb=Gs>P^sHZ`Pu]_d>Wk:ashidwp^`_pIYwMip=VdQHnCoiC^[eVfoxZMFm?QpOFpeQqMFhwaZ:GmMfr_HbJIn>Qr_Gh;iaJhcdyl?IwxVcN@sr^k`>`Nhq^nyufrQ^\\K>p_xZfyqjHgyOxNXrQnfrwnSO`d>oZpckfawGcoijF?];p\\_`vWwqjPoyOhRixj>lsGmkWux>gvOwAgs[_bUwgtg]Xvdoavgvo=a`ZNbr@a[Xj\\oi@xnxWt\\hqbYuxyeFhmxa`>qsmIcVnuNf[l_aXP[jpjQfnnQrHow:NucH`@njRPflVbRhaSngpO_DHrDWbi`lsn\\GoroG_VouP?iehtMO^tp__?clpmrquL`oav\\<iehgq[xv<ouyXemIkyYr=HyIgc=XxEwncQiIy\\BPvqPbxX]QwjAGeIYt=ffV@rJVprfyKipQvk=G^?HcE^qsX_CVrpXkwnisQnhqmahef>ucGjIWsny^BFvlWxcghdh_hgkCihHa[<pk[Hb\\Wl=_qmWgvWpwOnMW]g^bAvhs^h>opgHckxw^oyxyp>_o;wpOAyWfqEGb@WbjqbQPrF^us`[uxtQpriGmWfeeOddia\\feGXq;ff@qvMn^rVmLXgOHdhqn^_cC>kYArbw]]HgYIsFatbNfd_wFYn`xxUYaJhc@gvd@eYo\\;gvhgf@x\\]apY>xkftowZMVcQ_rk>[DGcv?bGInc?x[`Z@>aSXjeQiL^vJ`kC^[kIkw`w_XuIX_xvr=NolP_[V`eivmYjDysghcIwe:xsIaeNgihfue_\\_vavid>p`fnhxGrPHtDHbTYmXweFXotOwPxxQnf\\opfasWqjaxiOqi;Ax`_edywpxyaYfEomKVjtaqhg_WOr\\AwtVgvQ]Knm\\?j\\^wCa`MWnG`ibwdfna<Qvn`ldOh^HwLO[hHg:@jMnfwvnfowv`lD>ddIdvGkJvn:GeIowANplOgRwx?a_kWZ;nssx_ZGmo?saYjsPdopeShjaQrSHrwyfDfbcN^TPmeWvIQfaG_iOwCPtDa`R`q:yjSHqpicO^[Uq_PayvibgiaIWqS?pMQ\\vhqMnnu>q:@[[>_Fv^tQ]SxvNQao_^=@nGpsFymrq`OWh<Wp]@\\Hg][ymKwkZf`LpnbacQ_hp^jAXdrWc:f_;HcNfu?Xf@XgSOg=Qug^lbFd>PjB`pegshQiIhov@c<no\\^^nFmj@[TfkqypRf]]_kH>hfnokxk[?pMOxs`qpiwZo]Xyg;yZ:>iyA_:gw[PfRQ\\JqjQPvnxwa>ctFbkGh\\nmrNZLgZCplp?eDWqyFk??lmavpawavpYVdnAtR`x;>Z>wdCAj=yfpfgIAsQYZ[Xd?Onr?rZwv?ftaOljvoSg`\\H^qxsfPwXp\\TgcJqxJxqxAnsacfqf;abRngtwipngIYtlpsS>qrwk[IwY_pYHZ\\xZ@Vl\\N`avk:fiwvZMPs@FqbGaRWgWVvAQncno@_bKvecfcp`lJQhqIuYIw`GnBXjjy]egxNhcWw\\MibwaZTakrOjrYv>^xmot[xsTwj<Ows>mmIuZo_JNu@GmqNalo_IFrpnoP@ZBhbjAoG?r:Abk@xuovYOmpvggir]gvMo\\rQpRIqa_sB>ibG`fVqwxxcwhEnhT?uai]<^myOgu`wyq_AfubIeUPdGelasYUxBcDeOHgAWLmrqSI`;IqPvq`sEUqVTupppdLTVLusLpKpobAuNlKO=JWUXl<tgDqemYteYjqNQeYT`ltMR>dScxxUQvTmm\\lNLdjflnUeshPQI@OqTvhlqvQlfyT;ySQLlHungw]>Yp]wboP^PYomwZhim<OmKHtxXyMN_Pgrsih_>ZFy]UAxl_qpAb<@jy_aa?xy>qw`f?_qywxpWpGX_>fu[HjhAdvVxiGrlhweYi\\inUOpmFaIGhAyZwQk=?mEX]ifmH?lE?xA^ZNO]Bi^<yq>FbVfm:Pkt^w]ikEApUWZZv`Gq\\<_r\\PkufbKFr>NrS^leYfC^wSVawGe[Iq>_djYjvFcJy]MHfjFkE>utQfv_pdQbLv\\L@tRwrRv_fa\\<WqN`nuiZpYoFgklFbhOc]GhT_bbFj\\OwPqsEH_RGrg`ulYdr^_l`v^?oahx@qwE>tb@vsWwB^hDwmHNbKPy_Yt<A_v`iQhyfVca_gJvoO@\\`verVcQyiTXxuhnaIu:Qu\\Xl=fbmov>^mxFdf^fGHocYxox\\IhlGgeZyhoAgsY^E`yb>kWperiwfhftYo:y^wwj\\XsYOwq_s[>g@g`fFYcueQdeetKqgG[st?IoUT\\UfD=W\\EVAoGT=cVOCBOd[uuHacBCD[?D>eulUtsGBCihZcgx;YmWgxcdBwuL[bI;D]oh^kCFgHb?CwoenwRMMdKEWx[IeIupWbEOhteX^kTSirtuX`KSd;Yc[G\\QwqwI[_YO]iYutpmu<YxOiwTyxpWDhqG<AIeyYjki^erpAbhAYcYS`QdZ_svQy=ExsYsL@pBLkp<swmJ<tvKera`sPUKulm_LW\\eJETWK\\lSyn;tr=mPgXsHEQWLrhqv^@krTrn`mSeQbPQndocEq^pspyx^`vWyKSethTMpuQ>YSCYMQxUQaMTtUm`mIQlLmVj@x`xw[HXOTshEyXLruAUhYPftySUYBMo]tkA@X=tKGhmk`qbaenw^DP_<apMYvFvvq?nZNg_AvH^pqxloq`S?gQ@hPVrvfc>Ys;GcfHt?y_F?uE?vfXogX^up_^Pd\\yp?XaQHrGodj@rsIxZo^?HnoQxcIvwvvmHp<h`DPr?Qa:>i\\ofBypaOxjppH?p:hZHY\\=fjFayVIa;xnH_\\C^fNxaiHoE^pQokT>]faqpid_Ay?quP^wn@pIWsnw^j?tNPeqF``H[bAaoWfvWnlFbcOZvFZ_XlWPepppr^nrnplacJ?jt`_?WirqZu?[\\HiJAZLioZfph>iEXe[O[KyuCGZqPpWihewpthliQrSG_AGZVYgLXgwNnWikuf^pvmJpgdxpSxZHqt>?Z>aec@ci>p@QckviCo[u@\\uvdgwtxX]Ix`CPcjG`ZAfvGxD`j:qwroarqbGPkW`\\I@nkGiJFb]aZfacvqdkyhpi[[x]owmwy^phwIqxUyi<^sFxxn`nIibnNxJHmNhsjfauoeoI_qhsZPyMWw@ivQ^tYPcB>wbW`=o]YPeSvlIVivOyjHxSYgTxcK?nV_Zy^]EFi>fyn_e?QxUoiYPhExxSnmwIeuIonH`N>Zf@sBxqcp\\Thb_p`c>m@W^KanLgs<Go`O]fQjoArZ`pxQbLvkm_wXO_eA]Mvdp_f`YdLO[eAoHY[u`Z_vhFA[?XxoapXftloou?`WPbT`[<V_woht_bIIyf^oR@kyxsUOam^oqacHVpr@iP?ojY\\`x\\Hq[cyaOxq:qbq_iZ@Z\\HoZWb@Gx;viBpyMy\\fXfPn_Yf_U`pbgwoxoDy]X_w]G]v__jIgSpwJHg]xhoorXvs^QaQAgqPah_cGxdq>`BNsFawJo`[oq@a`XGdTHgYQ]XqgYhobWf@@mJA\\P^bmYd:ns]FjROneqdpXoHy_DHbJGlF?[=GnugsHQeI@]qWfLNiUVnUHqrfocFlny\\MfZC`quN\\pAu?YynogQ@xH_nCArfoppwivVZV`sDfgQ_qNNf_?qR>ijnoBN^b_ms^w^hvbO]l?_pvgSO^qomYA_xn^OF[bqauykgWuYXwq?yufZFqd@FxNnf:IwMVmPxfIGayO^Yqf@HwsXhdxc>Xr<YZINoyFph_ipQjEy^yi\\<NswwoPorawjovmZG`UOehgd`fgLffyxuua[Iiy^hy>FZ^`ZTiZr@jmyp=xyxnh@yiN`mUqk?ie;ph@VbwV\\bFoXIlNofBAs\\A_lo\\mgpPpy@^lPyqa@j[wfWffpgiQAvh_sKak<icGqdHWufnnjf^NVlnvwN^\\B@y<QenWx=Y]MHufxax>li>ec@dmo]GNawie[@fdIsAiehv]gfvT^dXnefyh]Ah_YZIGyR?oahZxf_Mi]KRqAYhMxhOSYYvO_UaqD]qTE_XBODNeCkgSd_F_UDmGUlWpPqVa`LapV[Xl>lK]\\K<pjoXQ^Uuqpv:=L?TMPYr@<];IlhQyWqf]apbxmI_]ZhbS_dZ_hYfjho`_ndePv^ocTQfQX[mavMIpwPthWqiVjZPphv\\DvwGHrsOoSnccNnc?v;Au\\h\\CHbWExgcxIyWKQAQsKtPiIUR]onil\\YRDToWaRqyK<lNG@SOak:`T]pW:Iy]Um`yvHEQy]ky`PMaxqXpdxksTwODJWDTtmYNQsUUXAyJ>Hypln[yN_alVDJWUyqIX@xvRhtq`pyul>aW?xP_<JOdMSyY@qxLXpkQRtuT<Mo_MkH]P_HmXtVvtmbDlSLWR\\u;@JIePgUmChsUPlJ<smEU?apRps;im`iYwtn?EVsITDtXtpUsdYEuxsaPK=VB=RnivmlPoamEAR_dp<Xka<UtTOfxxnmLhqJy@s@lv;UyALx@Anp<W:esw]PratqMY[XT?hXPEpG\\qn]p>PM;tkvlKu=Ry]QVEV;qSE\\YXIjMiMYEPnYQBLsZufXgdcgdXObwh^OvvLw\\YAvL@nhxuPA[wYiMhlGXqVXm\\VmWXdV`crquRV_?Fqf>k@`hr^t@vgow_Vi^CFvtxl_vthhkpw_YIk?g[;HtUxjFWnA`\\uf`oIk<wqDfwSalJgoFxxlf^BOZd@ZBWe?g^Wo_vWjDYgJP]dwx=_[hVeO@qhX_P@ZQVxbOcD>xl>usQbLpw]hgLfbVaqaGyTPtXgbq@Z`_`k?cpiata]x^pgWixxukYbD`ic_ldF^Xfg`GmXxfPpsbpa\\FfIx[=w[t`i^gujy]Q^eyn`UVp?yksFrryp[f[Vasdpvynjwva@o^V@mjh_AniN`^>X_?fek@sBp`=?e;>]exixqphY^rV`mIyLYpJhvewf`>]HigaNpOPdcw_sxgp@hAgbKO\\OQoKYpX@Zen[\\I[_QwcItWwvqG[qyfNn^m^rZwf^wxsadcPrgNnR``GGlLiiEwf?_xXps^@`@Ic>>vc_aB@^`Yaa?u<wpgYkAWkSnusFwk?]yhy[AhsYjIGyT?pMQZYxh`>lvi`k_l=?dtyu@oprgwCoolAkpAo[Hu;G^XippnqXi`KgeAa[AFtGOg@FbsAfW@b:GmK`^MItNnudalgAtFq_<y\\li\\g`sVp_BN`Kwk\\`fvnceIdpXtby\\myjaYnchc^@_T>vSicTpxdOuXgnFxxpfgQflsAhGya:^iuNvd^wL^ytVvB_b^h[ixwJqqWVktqaQiwIh_Wgp=HbJOk\\xbePo_ivKn[hW_VGlN^uwh[\\wvD`^Wyjk>apovyi[dHZvGor>[cHcAQcVFvrawYfjMgfVhj[h_cFaA_]JoibWftoyNPx=Iu`x\\HWox^nj^xLX^hAneyjPixyWqZQyKyWYuCorayiQaY>qXdMfUiCH[y@]fDmhvKBjYEXyWrmy`oD\\EvrOhyguTuxK?gGuRleSnqiqUwY=yGux[sXJWueYiAqsVErvOWrSEIEslAfNkdD;tFAuh]Vjidf;i?]VKKTIIwkmfmYI@estmSYqtsmICmeoadB=GBCTS]CUGHReRiIivmv`oemGWBEbLOrD=dr?ufYDpCDryCoAuCaEVMG[msv?dMurlIi@GeSoh;uvuQCawGFKE];i[uUy[WZQvqoDfayEqSPCtxWIPCRMYGvmRxiW^Kd;=T]oRbMt^iiFAeAMdtoGTaBU]UpoHe?te?eMCHT]E;UIdiDgor:AW]=BmAckKyAAEQirRchywbWOeT;sKcIGGCN?wDecfArZQfqUTvqE_qX[WTM;CfADo[U<siH?ilUi>]u>]sjqrHcwUEh<kBKabqedVecIodtUWAsEFGV:WD\\uVq]CTAe;kS`IXRExxSxZahqqcRyYj_b?=T:GetGXXstbEhIIxZgWeQCvwwMWh@Sr_axJuVagccibMMghMT`uCYIDeux^IbJCyBGDUmI\\]YxQg`WUbatVCElQwpOgtmU^[YLUHlkuL_cSQx;SrmyHnguVIEXaUQiIh_xs=RG?SWYhCiR[AeVGDccYu[vZ?BiOfbSF_cX@qr??C:kveIs;;EGQVaMF[UCdSWAErOEDJgxf[fXwvpMVwUh\\uVdQsSSUuwsgqrWyx>giJOxg?u[KCcwvficwwflkDUaRj;usis:mvqWBS]RjiBmgr`qXYgh:uHMqHrayKeI=geQoicKb[Uu?qyQyCQGHRIy:YHxmDfahjwSEap_AnUhYEImsim@=uJiMeqUWtvPeMYuvX@v\\]V@@k^dXgAMBURWANtLtBMP@PsnMWFtWKmVulP;\\vulRMeJpis;iwHPY?UKquLY<u[AWXLPeTLsXmv]k^PK;AVkxq:]X;EVK\\P;yrNtNkMQ=YoQEQpPWjXj[eTgqqgMp^OuywiFGsd`^yqoRHtDHg_Fx[GfboZsy_:O`wIq\\AjfvrCw]kxaj`nwirXwjqIk@hdDvtJXrC>_hqn<ijvGyGnvRpdLVexqcXWlwNwZXu;Wwth\\Q^uHNkGgnV`lvH\\XvvDpvZ`n>?gBYwZhdOQ[:`vwasonov>gRGy]pxZFltp\\hwf:nsaH`]olu_xeviOii:ayj>xRvwgi[Y^kWHy\\GyS@evxy>F]j@bdIamFrro_Xs]EGKmR=wimGr_Gv;?ueII]kgmaU\\KwoaFGWTjAch?uFSRCODw]I_cRngXsagBqemCg\\mYN]Vn?VCgs@ygAKH>sh[KTu=SB_uHIUJKXtwIimhgQymgYsasYGsniR;yDyGG>GVUir;stHSrtGfAseSUW;qSE[YT^vcfo<ygExgsOg?xenxf_qkdwsRwxd@iqPorQaI`bQQ]hNfU`odhuTaZOWhMgloapbOoB^Z`a^`FxD^wGGrgqc?pxGastQfPvbwYaV@tUFiPx^\\IhWogRgxdHuXgvkhuEAqW`kVQ[Jpb>Ya?gkSGZeGv@VgunpS^wZgtCphiq`:>Zcar\\nnpFe>fuS>tOfatG]K^mQyoFotW^jLyv?V_Z>hxonrwkN_oOXgiikjAmHGZ<qh?hrjpaaxxgWeX_wqOiYaeoA\\VAvKWtEw^Ow]jW_fOmPomLwi:>cb>y=ahcvjyWlGx_Xotv?^Ywswv[swijFfIYk]h`h`AkUvITuIbRCH`QsB_yy;EQMhlqT:yBLuslkXxqEwYcy?wXyR_mtrkEYqCwuYfagQOGR[B?QC=?i=;W`mFTss@IVXEu<Ys<gbSOW@MbCkvGEWCwfD_vEYF>mWsOc[GEkgUaUdB]u_IhjevFAghYhCAbjQB<wgxSIeUWIIwNCRs;CxehIEujiwhci=CwNkXUYbUue[?sgau?;hF?WpgWBIu]GYBOcm?uS;sGaIracPQbWodCQDvgi=ICb[r?QCy?SYURlehI]caerHOUi;wdYCAweKkIvSI@ou_ob<wYU]Sh?G>WmspQvhRG<QYpL;ewIpnJ@uWtqSEk\\HqNEtVmn:pW]htxEXFYJB]NMAWZiTMtsZ<OYYNBUkP<OBdVvMm\\UOOHk\\xW\\@wjMJB\\Q@YVv`ndqMQdmE<uYdUvPOSPLq`r>qxbMUyQTlpy?=KShJeTlElT<qkOqM?YqL@OelWDPJC<o=YqEMuXEnSENj]UeqKE\\pH`xstqaUulQlViS?HJHmvkMRo=jEpJ]EP_]pGtl=UlctyK]xZXyuqtoxO\\@NdaL]YkQ`PiYJZdTuYNGuT:lMmhRKAvA`KilyZhYYaWJpx`=ruYvDxUNPkvIjKlLutKB]OS=XeplUIViIyHQu;=W\\LK<uXR=SP<LpPOn@O\\AOkaT;um:EP]lqmaW<LU>uOk@usXJqQt;ivtaRFYvMPL\\PwXLPTEYTqVETjWxUH\\nXDMBeLpuLFpWCmxclmX<JaXylusVds_qpSpyRpwLyTtIsEXjRhxQyQiDYbWwf>ucGm:hnlqxiN\\<icc@eUFwUopmPrqnj[FkOquko]OHx@wo>vpw^pbylGnhe`kUOmZpu<OQgVpMsnmgESWpEspMgaUF_]I;MGj=WFkWMmDt[H[WR][Hm;GTGe?sIYuVhiYwoxfuRJ;wWUDqwr]CrUAEasXVSRKaB:;BB`N\\@NdxnGIx<uu`hWOLsWlY`hWRTy>XJSHr;llmAWUYVRhrlTqWXwtTn_\\WL@p@EJZ<Xy]TKQo^Arh<uXATrQwh\\yu=yuPVy@Rh=vS]OiAU_dLILltxS=DWcDO?XOQDSVqS@=teTxGuojtsYIo>lUe\\M^=RwqmGUvEunVmumtRtdjldO^dNiIX:QurQt?<yvQx?es;\\qPmL?<R?qoJlXlPorEWRyx:lqSAY=YsQipA<xXdL\\<SEAXJAr=TvDpUthLn=jP\\QLmwOyqlYphiQcUSblnmyrm=tjyXAqsteXIImg=wedtFQSllmChnb]yuHRFMmgmTSHmZMQUtjAPWkAvgPV`qxHYpUIOk\\nGyYpDtKaKsmX\\EJ[ilmppoumSIkO`tlIm<hvpDtwtnpeOmHuDiWt=Y:XWOdnQpsC`wwDmD<SdIqjmu@MjuQtZmkg=ucqqVlOJXKkXxkixQtqDyml@MD@LWUyv@YvYPxqLfapFuXx\\YxiVetWAERJ=u`pRIHMCHxl\\NPEyjTxkiXXIkhelV\\Y`TqNuWg=xBETQAPETmT@nlyU@PpP<NtxR]Al?\\NsPT`IoFqqceWuXXshqcPR[Mvt`xvhqs]MoqoDXLJ\\PKyrRTO>ut>ePxlK<\\yTppOXOM`yFEPBDlGlSudpgEt<Tj;TwtLnEewLxtomRK@ucljQTkQUxrEUnPkYHwP]q?PU@DVcPoRxn]xKSyqm`oweTIhyu\\V>iLI]S<YxuLvrxYCUwdpUahyN@MBqvU`PKlXpIOu`WGuopYOu@OBhmepkepu?ILHtkopKr`qeUtjQscttqEjFTjsDx>DkjLJ=hmQ\\PiIlkuTTtkGQn^AOmdKsqqeeTkQxjxuu`qRxm[iteQuqEUYATmdQZ@KTtW@dqulojivUERiQLwYnrEyhLshLvGMnVilWhlNeYTmNKyR@ApkpkK<Nt=pmyiCAvgNoWVrlpmexf?yhWHcN`xCAxGQ_mXfuxcaFkGQ_RPe<VpSQ`U@oIyZpG[a>ZIfpnowPquMH_<fd_@l?Q[xyllAw<@h`IyNItfoweWb[WucXkQYpRIenAxmFZP^sj`cyG[rapFO\\>ff`OlqAg]hiDqpsglGHnc`rdipj>lEWh^?lTivTg\\SwoCGdQwndXoSxdqn`sxfdfk[q^q`gaQeN?b>akXgZHgx;i_hfjHhx<gg]vcCA]>fxewdPXuqFhiAqAGfTVrHneTv_a_hTflXVavOgqHdRojOPrFIbKv\\k>a;A_eppoN]OvZKV]BV_ExtfqryVv;frX_qEqi_wrUPbWWoRxm=ihTn[Syqw`owipXvjqhsDxZKPtla`CYu>XvZ_ZNqt>AtS?hFgpYhrcOZ\\GhVfZRFmLHsAYt>`gI>^Bp^h_ycod>@[myr@v[UndWWtpgkhX_^VlgxvNAknYoxOtoG^OI^\\HZ@Vqq@fxy]Uhptqh>^fmYfawo`q[Z_aWV^p^pB`ZKx_lIdGQclF`ValfOf;Wednf_nhXHkQfrVIkXpckNiIhh^F^co[khi?HyaIaUn]EYi@nh\\xwF?ZEG`o>jDXjZ`bYayGyrHhni>ejHkUIx^we`au?H\\N@_L@Z`xaKNrfxqt?qZIla`hIvaM>[ffgdnlCQZYxi_I_sPdUVvMOalNbAIiPhrQWy`>iNXtvPxJvsfFeT^baXodX^T`arooCXZ?fsan]CpcBOmLvjiOmPvgtIagfZBGcsIvIisWIyqosGAnVIk`YsVVl_Y]N@uKF^Sq_?wZHodJNxkvfp?txwwDpxqVqgyxL?mdA^Txr\\I\\lFeTGlVHrQpkrfqw`n_ipXwnqH[[?eFWc[Gnci`hwlxgtu>inplBvcDvyH>qhypcxeoOsgwqVFeKPZKa[]^r^HbGw\\^>novoX?xVy[^NihQ`>fvhHrJQuwqd@brAhpuybKi<Mh?mb:oBiyEawbueuLiwAMyu=uoeBLKHtuXPYWygRvWrS]bXquBsiPGhcyg]iXj?Biwf_GbdmxHUD=MTc]G`USKadnYu;MDoOf?QsdIukiUawhM]B[mvi[vDUerqwM=h]GwsUer[XCqIW;bDmREyvfURNSD;avLyR]OYI]w@YunEeymDGyuLyYfcCIeYl;usMyUaS[sFDAVa[GZKil=IYGrHES:UslCU`SCvmy_ACbqf:cYtEXjAsRGdk;dyGtkqe_GxOqYFYgu[uG;H>WwPEhoosucroOdUkdMitO]CucCiMtjSE^AGe]BR_B?ks@Av`uHwWTg?sF=UBMGm=gqYWMudu[HZEdH=Tguu^Ith_Hl_gNGudoeGow<\\mGet[_^nVr:F`qFsI`nDp[ApcPGyBv\\oWZBOrgXrXFs^FhG`\\rPs;Vxn?txXh?WyTx[gYaKP_Xfkkx_B?bWnxgVguWnAIhYFkT`fAX[?w]kouq`nsixXwvq`^ZAxrHk;h[j_doq`I?bUpeeydyhaT`ZhNsho[rhq]WdqPyNXuunfOqy`?]YWaaHiAPviYf:ANqcoexdYCXuwJmVg=s^]CLMrSEB_mfccb:eGCOEK_SlkUPoy^qfK[YGiwGyWGgewqRgIgbMrc]efMd;qgWsSSCIR_TFquKIYtkTb=I;isEaf[sUD_IjQCP;IykEB]rsMwlIikgIaSdjgib[fdUGjMSkKXEiYaUCfuH[WhvcxGmbJ=i>yu`kUx[eqCwcgxP[wn_SP;yn?FbSuCKEJ=he?IZKui?cQUR:;F;YhnkhteWLwRS[C[QiOwRPIy^?iP=X=[EAmfl_TOEff;c`QGeGiKgg:Ii`;iSiiJIsbkhdMt\\ovrCUaURQAuqKYnWgdewUCTcGdJMR>gtKQVr[CBqus=FgueZytfyhiUUOqWYiVYqR[;VakhNktjaUAscVQtBMt`Ad]uvlotqSYVSIk;r]ksLMTY[bB;wMkfqsiOEXrWI<UVLgX]gh]?vrKsw=TCCBWgV>?VvmSmqHKAfCMs;YtN?Gl]FV[eyUwCoBBMbA_hFqw:Qgfih[iXiUSLaeL;s>=vquixixUOIrwtrObQqWgwYUaSjqD==tuMhXAyoKVYkiGsxsmWiEuqkt`iS`EgxaTNkDDofNmHCqfMEtNkcEafTCDZ;ua?Uh[hTqFkWwN]Id?txEu`CBYQiu=VucR>od[yyIqsGWwsCi=OrUqRSyxWMIiKgqAyh[wQmrTOYh;bw]GE[WqsYq]Hgmu\\gsbqC>=gBifawGCsin=IqMxMEFP[wn_SyeRrahNmuHocZGyCir;Gtxeb]mrJEXxcrkideQDvSSpgT=Qu\\_VqQHf[bEsrT_CQOsjqBi_GOqEbKFYaB_yDlAFBOCBEcZSb];fHgheUUWUsWSwb=F?aRXEINoDO[WSWwMaVYaffuXpCuU?xb;h:UD;ubwUhWUi]ufwUc>eGICFoqYuqtOewHcUpig<EYECfewrVcwZWRuQcpcRq[x@svkwSp=DScXM?cVQheqcbSIQ?ePaxdSIc;CVoXFQei]TuEHSUBrWSYOYigW]YEwqGuafv?TtsSI;iiYhcgYwaduqI^;IuSurqrScsU]BDQfd[UiyhfwxvoY;Yyg[URCB=?Rx]UyOgWybpuETuhIQgnix[uywMDB[dikIbwYmqbhuEQCcwGixuur_yQyW?_wMWHHmWGiISuWxQDkwTrOe\\SD^qSfqX^uFmsIPqrHmy]WFNYyjSuMcbGqsHYTUAp@<YJ<YOlJSxwI\\r]@x=QssDKN@OO@Jjaw`DXalJ>QvZDRAxKZQTCtrtQTbLmL`Us=wAXpRlLJdUt\\mmdvc^_RMyETrapNmuHpP_hL=AYNMXs=TFQUwdQ<ANbETvenyMnQEP=LmKiPTaVIPtgproHOheV<uLudmcQTKluZimgpoFIV;]P>hJKQJ_eTjHSM=wVeO`Mq>\\y\\hj<@NnirQAQNIYnHqNQQNYt^mvKHu]HsxHTSqonDXKiUcdS^=LNaVQqwNIKoPMFQy]TtR<v[EoGELd<XctQC`x;tQm=schYSUk\\xrchmZekRyJ:UYgDV;XxedTAtlXlNTdURYpdYXcapg=YmxuoXTfXKpTlWaVe@XwlxTAMYaQ?qQmTqYHtfilbqMZYqFLyfiph`Y]QjIqUSlX<yvCqjo<MkivcywJxyXUoLxPAXJpqkPpy><LuttvAoUYkaESimjfiMQxx`ioGTY_LLr@J\\uvTxU\\LQ?pUEmmAMmOeUZmn@Ijg@p\\=WH\\ogQTTawtimYPnWhSLHuoiU=Dpr=SY<xDPRNQssHKWyN]IpHYLxyXk`yKAyXXLCPPaeLtEwviWwxrpMvNYXKhWN@jWPR=HOudmxQOWLWUqO[iTjunvdLdErHUsnyrjISSmYYtYwLJDisiaP>TnoIXOEJCpU?ESXhrKitJiS\\LpHUm\\qUDqKI@qSEKVlpleTO`sxQq`tO:PKE`rRE_`admpp?iqVIsBYpFO]qiyJFqa>ZnFh]WbG@c\\vp^Wl_AkSOvBVbrp[`hdgocWo[GQfLqkVQxZXfEQkPwjh?wGnyA^ZNofSfsAxyXP`s>ngPiOgwV@j:F^Z`fpppP_klPmAId`Opknosfnca\\RW^hpranjWhZ>fwnpoVWh;ypMO\\Qimf?puPngamNofA>s`XcbpbN>tcgdvpfr>pMow=NaXw[iYZx_toOZDpl^vbiogba]QXq`qdbw^@fknUPOvaAcH[wHGbpSsJuwTiWyUIDKDwIhm]wsgwF]GHOvSSW[KRE[DmMdusB\\gK`TmM`NVIyJdwb\\Opmr[`Rc@sxdnHQOvivWMQylpqAULLndxkUQxXLnwyRqUKgHO\\PwJaw?APCLYxYsFHwImWviWYEuWuWdeORIWSpRC\\WlyyU]TApy\\@KDikETU<TXjixkedqhdEhmgGloXw:v_H_`LHvd?[i?x?Oa>_s]veOGdZPoFn`swZS`q:F_kve`aegyt\\I^BWsF@h\\?`onk@wkPw`hgkZ@y<Y_Yf`snteVuV?eW`hT_dEHfQFmSp[ApbuT?YgbWC\\gw<?YF?gsWbEGB[QTfQdG;WxAFV?EJsfc_RYKXheUPaw:;tpQr[?EZaVXsUdOUy_LuLndUvktlyhkRDrHxS]hYuaUUiWeiL^QY^<P^lWytrbuNXeKDTlDLvoiYrhUjDqYLkX\\xgAph@p=UmGEPRIPRIYSUu;`TxiRc@NkmJ:DmJEL=hmQiXWtQbQQ^XMEtmtqVburr`MulSOpmydK[YjmylImpQTPIAVayWKeWfIwG`uHpWwhMMQKjdjZ\\SVmM:LRclmqxJ:Mj;]KpmXW`u@YkCEVHTnr`Jv<J>poJQxsExwtuguvIMSb=W;yOuYLpHPIXu@uMgYShYQT`KJ@xJTyvtxClUFywfylcasmTkWhn]typLV;qSEw[aV[voy_Hbnfpb^d>qcy`isq`UOgwy`QioUadahf@arFwtl@p@vaKak?Fak@odNZGouFY^:HrK_ji`]__vATNay]kt:CDAOeVSwNgWh?R:QU:ociCEBCi]YBFeRI;tuiEUsToOG?EstkERgRgKi=oS`gDgkS^qBL]Hw[ffmUPawBiGxSVl]VXsSU_Ey?To_EPehJQrCmEKuhhCWl=r^Ky@]sBqyk;Cdqt`UUauGYuSmyVxKHQAgrCgcuEZuEpcHDCg;SC?Muj?DxWGvwEEaT=Ov\\ohgQdpgSNcw=IHL=eSKCfuhdKTZQcwUvoQceQip]wW=YbuvHicuGf[mVhmbogcEqTjuFjuUPgyIEDgMBFkcB=RT=UCiT[gcZqRhshqghrssGEDrKgJqX<qw^?emWgmaVNKISDLQusWIuoMP@]tsYL?=ybilIpwbqQKTObhy;DTaDjjmTK\\rADMdIqZlpqxYAQVUiWI=uhUy`xOcYu]@TY@W[QnbYVYqN]=uSDkxMwmtm>`wmytweN]typymqaq`ElPLpFuyo@vgiMEApgDOIyyl=NqLuytNk`Vw]uTay>UrtaRYPJ`]VSTRMEPOMVbuX]eutlW`\\o[eWpXWSLSJmvehK;ikxPYoEQQMm[yu^isf`OOmTPHOqAyS`qDime`jRuJFDoOUQOUYn@YRdmd=l\\ELG]jUdjlQN:Xm^UrQPQVTwgQUWMQWTwCptNLkLxlyAlCYSkDtt=tsHW?UpmyjHqNmHwI]XJhV`<uPPySFkbi^_@cgaiDp^tV^cNwI^fYIpoykTFnMgsCfce@oA^Z^hdr@ZRXtNxf=^l=XgUgoG>`L`i;WuDx^uf^KpeVGhj?_bhtd@tx?arhlSGg_xhvpnegvDfj:A_oabbov`?ieAqf>yXwp\\NesYw\\fcpOk`VuqawpoyoNoSac?ogfWxRIqjY_gWaKFkVHeNVhMOaIog?QemFd^qddFta^iBN[mfx^@ptH^rhylIyChaAYv?Gt\\FnufjS?e\\W]uihYq[>@tEp\\gWwyqfa@ZCAmVNljfytxor_fFyiXYyT?l?VagVtYg]xf__Xbyih>fchF[Gp[Bqc^WcD@fQ?_uwryXtu@^`wKiwcwuTeEFwwLkTigdV[FrGDpscPCgEYcOevFAsoogCyRR[s@=hDkEB;YoksOmEGQeTuvdMUnOW`yRGqFaSflgrWar`cSs=xMOCIAsUOysiuqYIOygdETqEIo;dHysloWPkStwcLoDkqIeMT[wsLYfdMvb[C_ke:;R]UxKsd`iFGkSwoGGAEXAc\\?SbcHLyvXaWUUwRywXQbPysqKRqMeiaHgKRkgGycCrehRaTs[elQW;MS;_VqmFgstUYD<EgrmF@;hr]S[ivr?wrSR;iGF;XlSUFSwTmyeKXD;RlqUvsV>YdW?UkiG>qS_yGKmFmeDs?XmYuk=hb[WfYfdoxMSU>qc^Cx@GBZoDNgtIowdQIKcSKctR[IHogVwhmWyu?EFIU?wgXSYpmyHoe]EXBOYlsbtMspkeUYhqwGKPqKMUNTLXLjNYXCtmDdygho^qOAtyYmxPDRfaYw<u<h]MhZxf_MyiMFbEXr\\OZmprvy^ohqn^^;y_IXnwGsXIyUwx>vnrOw]Fe>fsjA_TAgF^]gAa;`_BPnc`cOGpP?rKQc_g^Tnx?Nt`^qsnuHHk[_^\\?aVAbUIv^_peGheahdh^?^v>iuqYaQiodohcQhhxlnvpJQjxPw;gf=Q[MPqUGu:ikxximFqZXdwabOAs?OZQx`cH`;ohT_^HajRx]C?bAGoghwmA`SQ]WPyw>fIosvWnlAq`HeBFpDG_cAjqWpGq]aXdXis\\iy;HaCPuSnZBWv@fpjAaPifHw\\Pi`Eabuabt>cGPZtxibvnZnx=pfsvuF@fHG[FXs:@ryWgMH[Qyq?gbkxxfqdwQ\\OajO_vTHlRxvHArxItNow^NaI_b\\PuY^jBPhCpaDVyK?kByr\\w`dX]<>bf_[xOuPn`t`iSypwIs?Xuuwk`>fdppjiePnaxhwRytC_eSIt]Xk]HtqNxUWekVkWhj]vypymqiqhXpZwn_Op:yn_OyY@^bqs\\@xR@rFAeyaorQlJ`joHq]?f;H\\O`wMx\\SG]VPvO?``_jTAeM>m[IdrHtR^lgqeF`oCHmShxoqylYfdWmvGtvxkCxrKQg_gfGPpLYr^ide`u=Wk^QkIptpFaQG_Uh``vvdOdYAjAApHvvTVq`wXIuB;BKYi<MW?qcZ]hO_dbgVagD<KWx]fdwr>[Y@=i:Qv[cX=Qh@eXIOi;;vnkCikt_?rKst@iFoQsXut`wu;qSnMBpoR_Sxv]SMar?_ScERmoSdoFiiWlGu]aYDyr^mRYAbwme[=TXwtT?tWwrZQIMgXcWx?sYMcFPkxZmXSaFpmSJYGA_XjuUeOBaIvoqFs_e<kVvQrikIRgftGlCXTxLqsHKxMtkEwDYUUXmJPVJtpuiYuhtytRoLvw\\Q`]N`IOjuT<XsgiwGLjh\\N=aR[xqfqqiQNkeWUitmqXoeYqhLOHt\\Pu\\<ufPPyDquAYn<rWAWSYot`upDoaxQpEmgMNqqtAXy\\aVGpmvYx\\xr]Qyypu;ijguvgDv_HXyUWhlnAAtqEQ>\\yvxTIQVaQYElXTmNE\\YTmny]J;UN\\MJmLvZLj<qmkiMxEQ]=ZQxch_f_p_OY_yfsm@f]g`ngaFVoG>spw_<_whvuGNncpoxykwA_vfZVfv^htKwquNcOo`cvxbfcXhsDQ_F_fQOf`nbpFpZGgNiyDWvdVluwlLAkAagYO`sXcHInUgdAGf;^bfnlEvtVNdQy_e_hcIhcxrtCKerQwTK=Xg=ULugdiXe]ddug]UxEckVaSypnKtkPQl\\ywNDSJDKMUWn]pSlJOIQgUL<xPfiUbyQF=nH]tepqQiPkQXDTwUdolil=INGpvK\\TR]YjTSwYV>UNDlrlUMVauVAPhdSoUWEUJHmOsYs;EvvIlL`V:uwH=XwiWueQQeV@ioyhm>dSBlrHYviXsutr]DOklPI<k`eLT\\oV=lViYfLSfmT[hRc`J`Ut_mpulQiYk_Qt`aY?At\\`rXyW]ijd\\ULumiEP>lsUik_TVOqyyhPQDt]mRrtwUYYQaJ=TSWho_Mp:y^nyq;@nUvp?fnAIyao^P`b>qlAp^ghs`anMAq>ofTxfx^x]GoKI[Wvm:VclNZwXgkNn^`erggWWrtVpiiv[OxwiqmFv:idfhy[IZlXbSgfaOxfadPGsLPm\\NgfP`s?vAPaZP`\\Ols`tD?gAqbEYtY@b\\`pjNmEQ[;ph>`kYnot@xRHt_Ao`Hja>noNwxws@NsfhtC@m<an@^iUfgd^da`iUf^KiuSoZoIegWjV`qHNyqNeQ@ohBGOXpIcpie^wTYetoKcuQHBKELAVOwfXkuJAVpOVb]YP[f`yI@]HB=w]sTwWXmUSwAiN=i;igg?TOMWVqWqwe\\Ow^[YNOBLaCbSIqKrYQFCKn[eTKMPN]YVTM_HYgmYDlXeEjSuwBpsd<OULKy\\ummpvxl:uSY]K`Iv@DloIsAAMfakM@Qe`OV]KOIXQ\\OHhqWATFao]=pmyt`QrKlLutwoxpbErUmNE\\YTXmfdL=uy]]JGMOVapg<OGHUF=UQHqg`PFHmCmxEqkftuJPvMXJRqjL`KIayjmPULm]InA=tM=vP=MVuLJ=wP]r[eKQppddXcDVhTjpHry`u_`ti]LbdrapRp@yBEO^dSGqSp=pMaxqqnhdTo@wqDSdDnY\\TUtTnLqqUoGXnOyu<MJdQVVmtZqt]QUE<j>iV?]JEYNheXEMwVUYWYw^dxxtkSDV^MxUeSwHYd=OEQS\\IjMIJYQYUPKoIOypJhulSmJr=omLut]qJ=Kato=HJoqt?QwEDjG<QLTXAhm^xjrtX?uTIIRQlU\\\\PnHnXQOQiVr\\pXMjZXvm`UixRNYT:TtnuJv@sX@Od@LSurfHV:XL<@WNewbPJsPrDYYL\\uyeuh]n;dOLIS:PMmDrWETXxpquT]lQwlXx\\TmPQj]OLPL^hMQMu``XqyW?psdlp\\HQWynwEtIqOFmwsLM]dPiaLvlUZUnaYLC@WuYuohrntUx\\RYinH\\yoHUIUxRIWKQjq`SP<yVdMC\\OrLyI<NbqvRAnNAy<Ak>tyFljhmbGVcpYsD`_IfckIs`qr<acIaqBPwJ@d]^ZKaeIPZf@t@?pxV\\\\PoBQ[gPj?Pd>wcwV]GAncPqC@oyNg`GtNO_RWt^YtCQ_YFs^agRgsT>uvVbEhteNh[^eogxDpbIpgQP]:_^MA[??r=oooVsdiuu_eGpfDGiCw_K^\\m_i<A[]HlYAgRQv`neGx]HgiXgpphdhhyXgplQuTIdVXa[O^PqrZqhTW_>Fm_f]`>q\\ngZgmoGlE@kJawAomfxhu`oeXr[WeLO^n^\\TwfOXvt^]PwjHHaxVsgQi>gmZ>onNm^_a[XdbFkhQlfglg@sG?xrifugkbomcnj_Gvyxh?GiwqpuPkegt^q_[iwnhaJ^bQ>imwjy>uIVmlvdj@rsIhYqdkNo;OsRQkh`fIXbwyq?yk=?vvheOOZchoa?rigp?_iQ@wRNyhghjy_GiZVvwvxsXQn?vGwYRGf;GGAmwX_YIYBIqIlUvuYw=GyyyGxToAmvyIqRmvbuYC<pmtslyRlyKvEpCpycasJeLUMqKHmYiwQhP@pv@EPDHmC@oTAlgImQlTGtJ]`YIPJblva]tciuoQjptPLIw``poIj_qo?MRYqMvEWF<JTpJyUnt`lSUvXAyA\\rnhTWmk\\tYfLjtqXdPObLWN\\Jg]xcQTiIr]mpbllBYsHxPreXu`TCXMJMnWMMTHeXYpAio@vcoNviwrwYpNAwKYw;F^pGpKYveg[YWt>@\\PPrfg_QnwkAwqq`\\woL_\\cOiCphSXf:@`vOcUWkY^rfI`KasnPbqY[;gpVYcMgxhylngpLh_?iw?ilnajfwk[AhrosPGeXvt\\^kLyx\\`^iqsmXuAnheog@GrHiuuYl[H[IioRP]vWinviiOj`ylgit<yhDPsFarsYq]`qyWuWG_sQtKifRV][YxYiyspuhv_[Ysmwrj`tPY`jypTQbx^eFFpMwxEWhxVxLVkWX]h_qOhx:Y][ql[Gvqoypi_Yo[qf[YgaHx_H?xXPZxoyX^msYarIwuyyaqct`sPXcxyyAf[_of\\Qcpf^@^n_foEWfjQheGerOkYo^AylboeZni^VumvhF>nPyd=acLGjAoijH`r@tw@bjI`]IabGmUGnYgeZGqUG^lvu^oedHhcnxb?eQWwLOdEH\\MogBfdMHlXwb[X_`heg?^RykFW^QntJFoevdoNiqGqNOcfaq?G^VwlwV_R^Zogu=?y<WZKyyEN\\JwpdhfoOmXvpdOl:Ph\\op\\f[UOf>HoPyonf`Rh^SHmd^uxvwTVe@FbwOgb^sEXeRx\\kYhHHr=_ytinT>[:acI>_`yxCaq^goqAqbX`\\isW`rpU^?SAOre=EZab=[R>eCRcR<kULivsAvhusUCTOaE=eiSSBGwX@iwNauTqTgCHZEiiCreyvgiTnKhZuDhcGDOvXYD_YxeqwDCHOIS[cT^=ImuT>wwgagDCry[S>]UB=GoMuUQyl[sT]cWEih;vqOx\\kT]OC:kEusyyoxHaBxGcequqyVFCSTMRPKDLabfIFeCWP;w@=w@shwwcVyXUMtUqdJKBpkruQFsUdQEYO_i[sglQGsErlSeGmDbYW=MYYUvqUyTkUtGtpqDToF[SGCCC^UF>_b>_B\\UUmqvFac@UfSGdfCsLgGSyiiyRRGtFIegasKIyGyyymssyeFWh=mHPiE[McX[uCAIi[yccwJsxkyYpORuCr^IchAfwMCw_VwKgo;DDuBreViEfmkjFHXPynndLu\\K?Ujs]p;Dkkmpfmp`iwBINvQXA]UuuVVujh=Si<Wd@UsELaXOXqmMivTiX?ay]YJ^QKChLK]xrhXIhQNyrgMumoywx[oYsiFwavk_fajAeLvpjpvk`rYVxYvhjvaq_syvnE_w>Avi_oe^vf`\\kxwcixUqdxN\\I_a]XrsXvjIc;hd?AapOkZNqngslHnRGvLp[?qwNxZshxF^tav[^xbv`gONfWIaiG]RAydOxhxtrys\\ioUfa<wxcPvSQsqF\\X?asxskguhfhFVe[I_jporXqlAyqP`cplgQ^I?rBGZQFeHWayn`hAl<`yCFZyqacvuxvqpnsOnoIi]]vto_ia`\\qqlogl>ncuvaq@a^@v<pw>^yTncuvsSwZVG^Nhr<O^>?h^apmamgxsO_p>yqNWaA^w>_e=wdlOusIyJwpJoacy^@hylYjtY`y@gy@xa_duvatysPXcxiu:xmp>mgQxCxxAIoFaf[Xr?vxDveYPbAyqQFalIyonsP`jPaugIq<ga?iygakewwDXgIa]DQsRNtax[cinTpku>rPi[WGcuX`?Gv^NfW@qeIfuqrAOtWG`VinbwpnGvkixwXgYfc[QdhiibxwQv[oiyiNycyy_xnTPhvAwKa^hYxiyk`fyIybM`nbOqIgan>ptIt>nt]>qvxb^`eqg_ifrov^Xfpvf[_vq[WulIvrObvNjbqiw?gMvxsQuJ_uYYfq_]^yaEwh?Is<Fvl`bWNcXxerG^[wrLhgko]kNvWOsnWw:_]qIi_FiAF^\\IkXWcSIqrxaPWdLhn=Qsn>mb^jJOdiF`Jqoaqw<yt?ptrx[FVarxs_iokoo:np\\P[lpgG`\\qGq>QpcYf]q`sPmDw\\jIc?qpsi`kYxeXv?A]spvrY``hg>o\\UFuOv`Yp_yGuR@xshf:O[A___aqe^lkXdr?_hx\\ivxfQZQ>wLosSQi_WlG>t]yeJPlxoh:q^N^akHjmn_mYx[p_s`rHYiJppf^erYpVneuVmifyqaiNg]Z^^FAuhXbjVbsverfl:>ZZ>:CTJctJWYkUgfiF`acgCHk[t\\yuLOuZ]wekGV;fKmhUWDUWUMKUluBmQupsht_Y<[Sq]UUoWamgwkhwcYQmdn]exicWWUqkX`kCcaEUKiVIDuAUput=qhGWimkbYkhkOhreH\\AHJixwSWYCSWYixwTx[InydeiRIuw=KgjeCyYxKuX:EraotieUwAS\\AstIBSuFUEsYYSQoex=ukOXqMrxybWke]wIC_XS[t?Wik=XsAt`YBUsBsgwYaE\\WbgmyPSiG]XTOxw]YRss:=idARoOxosG^[WUMHrGwjMvpEsiQYuABgIGmQXlqXSuG[kTpsdUSw];Dh?XGytUAWy[v]MITkUrQehAi]QyWKxmQDGGEpGwDYGfGxa[CUibRygY[viUivgVMIs<gWXayq<UptY^]MNekKEloAsg`M^HxC`sUHqoumT`Ji`oAaw`Mr?yUb]StaslhtoDY:Xqc\\TTDnliV=MsSqpxMNU`Q?=pTyq^XSuTWeIVwdYpxUDEsvTQJisq`XtXRmIkXxkRDPSijeAodmmxiVeiryIVrdxeqnEuyw@JTIKZtmM<ylevy@LBEWbaLNAWHaoahpWtM_xrLPt:iTMeJwapDMWG]WDiXRLuLLUraoaHMXiqCQmkXNAqMQqvTXqR`nr`nNxKaUrjpMtdNo<RlvdZH^C?a^ggM`bXF_qIkoiqI^aLppigiiQ]g@kGvxmIpswdyNbwfqyyv[ioDpyqPmkpvCF^dq_u`]EIi[ayE_o=oaKop^HlAv`Gn_WI\\y?gMAnt>^Yxkxhpn>mYAb<YcCYuNP`cN__VyTOwphrwWmH`ngwtBXoafb]Np?yq_Xuxgeq_qZ^jAaxUqocQun_aeWm`?arwxr?deqvqi[UajZPb\\AgPPj;YsUHorimfN]No[bGp^^mlNavoxBi^lqyBYxG_`ipagp]Jpf<GfRFixVc;y]RGgLQ`knyYH^oYhewmEYbhqw]Xy_fitIeUhuWQkCyoyQhDpwmIjhvl]Pbby]>ov?qfYH]hw\\>flUYhxQqVoeuVergwf_ejYn<?[a>jvOjcYdJW]Gx\\TWmKwdQpeYOtM_uJPgc_ck@ho`m[Wg[F\\=W_JFpDUQUi`WWN=SYWSDUdpeVEsrVqhkWRb?rqeWbaur[gUKfPEgfMBPkuFSYvIVUQuWIwumEpWDISwJ]hZser=iaeshahwuCqACoQwIoXeub^iyYSiWqTcyWq[xuWyJcWbyUs[enwURUrbkVLqVQ]Cswxt;Du;fV?GUmfKwB]iEEuha[EDwXBmV\\OV;MSsQRLWVCAbRKH\\ir^uBYSt:Gx`ghigfGkGhicyKdx;wTEsr]R]KhgmYMuhGgXGmD`kC@csT[i`WXmIxfIRGAXjyTTEwcwum;I^Quc[v`yB?oChyw_icCsFEgELYI>QBEMtcSv:OYFOCkEUnOdwKYKGIcYDMAbNySamY_cYeEynogY]YcIVRIy@atmkdxsdG?GQgTt]esmbnwsfgi>=wxYFqWIoIEYWufMCgaXSEef?tK=cY=FQkr`aeSkW]qwemytaI[SdHuwgEDTWErgv?sIdKbpMBByv>qfa;CeOblUC_qxlOuFOutaxtOvXOd@_tg[UGotVOVc;wiCsm]DpgFpKhF?W]]XgmWHau`=h?yhrOwTET?kh@IUMwX`II\\UupSin]XaqrHgUUSIpkCcybqkXlOTZaXcwwhCD@MTDGra]DWiV_qD^ygq;u_UrY;w;kwYkTTkfy[EpAwMYynqrxgd=EGuyHpIC<CxWIFqqtykrpYS<ChvuTLIbrgglsDeSfjGGIkrI[GWqer=WmAbq?yqOryuXH[FCsuHsFI;itSwlOdnKg]KGvodhAUVYdj]FWIFtiXWUeh]h_kEOII^GuAavWuVIgVukgcASrke]AxN=TpldiQ=sXpEWS=gY[DieivGFkaVCqTtCrSgFsYR]qTIuegohyqxLSXDIWMuiJyxO]ClyTUyRWIi_mwFayNQteksDOvdISecbogiJAdxIeOqsq?WLsXiUUCyUgqtHEXAIYCIUa]EWKVQUU;ISUSeuIwjgx<iCNauvavkodEot_yeXYuf[hPyUtYd\\[ylERravmKwwUeJqscATJME;]hxSfp?uh]WBUgaaHZGI_UCqGFqwePqTgISG[YRKTpWG[GGm=HYqisGe_ke[sisQWKIDAyc\\cF^ks_Wf<gH@=cU=IswRuAy@ogoWrtgIUKiRCUNeICaSvMV=uxTGvFgYvAVMMvksSScI]YTUKYhyEHuESAtmOYRUujcUo[RU;TQmCCgsbws>qxswrtMSMkXJsXE]FK_uy_c\\[xhCduGVoSBFcuo;dvaYl?w@mUlgHcAXDqTswhP=Y_=TUtUEAMR]WI]QLHPZ\\m]qRUdLZyPnUJhAkuqopmTqPj`aKVUtX@YvtTL=WlepoDyWTrPuxbQMGHKEaretyZ`nYXLHMwBiPpYsHTsLdoBDKnlRhHQoYVMumuLk;`PS@Ja`VoiQn]jbHl`ayvQLtqMmIW]hUtUwkAmmdRp\\S?MYwImaXtwmViQXCQoR@v<avf_]gabPArsvaHPmUXxq^vWpiNXiKWfsfwvAiiWlJn][GrIOk_PhEx]i>[kpwjIfMnvW_q\\Qkbp[U@nsYuJx`sOvAY\\H`giptUX_uPop`fNA]gi\\GHwo`ynNkF_[E_[wQv>@dWFcPna@QZ]X]fNpiogLPoAGr?XmlX^YIpchdxVhEvxqngQoova_IPdiqobwbx>aNhpqWfaPaBOjj@x:AlxIcT^yB@o\\H\\kq`bAd@As@WqvgsIfqIaq`>xA@qXGxbOn^O`qiwBgajHoIHxBPh:A_\\Q_fV]FGaN@tiqkl?vlYhXia:gwjxvLXy_IhOnwfycs^mTyoFxjZV_tPtDYmgIsAO`cpthnp_vqhXuD_a]P^VAtS`y`otPwkjwZvTQqh__EIYfhYte]gcsWUKyOGrM[IaUfPwrF=UbEDYmFHmdpIDSgrc?cb?XcGedKvAmfXEu]Cxf]w^=s?qrFwSfkX\\Qwh[XKEDGSToIWmgST;tssuZWIMqtgsuW=hcsGNiVWGhqMGfqsESdmmIo]hKuTjMRX_x^oISkW`EyKseVyuEmtOkYnwhK=CI?XSySD=xmyb;MHC]Y>gSBOYsaxaIH]?G>GT;UhFedWoFhEuLGTMSFnuh^EWrCF=uUSUUleYhqTdWfWESPKIYSc]_rX?tZsc`sS=EDguGj]WdEdtGc>AxoYXfqsvGvRUgJUVy[wcof[[vqGhpCiliyEqgFuucyynGgAWiZWypwfY;ciid^;T[_Y<Qy_mcnWRCownsxF;TGGyaMXiOU]swfYSw[eTyRNID<_r_mRx]yUgWN=bI?wtiD[sbrwiq[X`_EGqDPYhDAb>mTd[bAiCwMU[ybRefNOxCkgj_fw=VfiD^iW[eYtIsloE?]B\\CVsEbscyNGgAmug;cKWiXEya]YkGHmah_Wu]ic@=DKQBWWucWWgQdE[fj_IYudwIgwWRKkE[mYl_SlsXjqb`]U;Iw[qFCUIicUQ]Xdug?OU__TuccJkSByVRevmmWnwI]MfdAUEwfxcrH_udawdGIHmf^Wg\\GF]OUbyddkXHCc[UuLMwrSoxUoEAKJtJ]LsTDRqtP_lWEyX>yPMtxFimfXsODSMaQLtV_loHXqVejvAvh`mwDpgqU<dqKxJpeViYkgAloESKxW_mwYinUDkgqTslV?YSsMQhXYOqSWqyrTMqXxqyXb=ScQkWLnoPqvUYTIjGiQTXX_USLAOW\\yXHjnyVM>khNc?abX`jwG^oxfCvnZHgwPe;_vWY^R?qyxpRQdCxnm?uw_]k_uaXdkFuSpv>GuLaxcnevypVph`xmjnxBXxEH`^YjlVy_ihnqrIodRivMNfi>`a_mlFu>p_>qwshow^uE^mpOwxnpnGqTYa_o]ZojvOtLIc?_t:Wi\\wsIYteolhHySFuDh`Y@aT_nHPbVi\\X_]Q?ykAh]``FgvLih_v]hiu<qrrv_uIgcNo<>Zai_Xan\\`r@fsc@m]akcVwnVhYW]m^svWh`VlYYdKqlTW_HPe[GcPqtlngeh_cWkVQy^XnSoZExZpv`@AsnNl@WlYIdj^^TgnFP^lXu=XamqxBfarglh^exn\\hqsVhikgwhAZep]E^vximSW^kgeXVikn]AIeoXbyxiMwpaQi`YqUiiSnnygcjX_fxchywlHjFFfeyaLhwXikEwlEvpqVvjOiIxk>vpTQtYgtoQ[Ey`qwnWFtqQsaw_[qtYAuKpinvnA@\\I@trxtSGofi]m>dUIxTqlnYvsiaXnpcP^po_yyxDWc@Yy@Wm`_[UijoFmaV_uhjovlUhhYNmtht[qj_I^gw_oNwyNpnO`D@mqPp=qef?sxfggwhU^ohV_mQ^WowanppfjWIiKOcxIgAWpnpjuW`u`^h@w]Iv@NydprQfm?VwFx]hioy`waA\\H_tS@hXQnb^bWPj`qlmo`bGeAg[qipcVt^>ikWxuO_UQtd_bw`vWWqtoe>WiLPwWqeVol^v[P@aLN]^QpDWnCygi^]`aoLGejHh[PyWwp=Apansdpgua\\G>tWHiuAikg^dfZOnliyuShalHo=HxVphTou>HqdWiPqyrq_O@qlNtTh\\=PaYFekyx^VuQqZ>Gqw^lfWtNXbIw\\hvoZhaSxjMigL_vtGsuQiUhkDAxeNau`iqYmuP`H`fSivx@tUPumnuBIpEi]jxtUW`XQ`RIkNyuA@hDNms_q:qv_^ivFqDQbiHywVfqxkrGxEVo?W`kancXs=Qwanwq_][gs<VfPybPp[?X^QohIavLVbHIgeWm<?acpndQxHWuTgaQOpQvnN^mX>gLPaDF\\dhm?y]GFebAyHOg@PpQhoefjyI[oovNYsa_[lwZ>`rEXeSqdEIgageHfwHXebW`O>ue@e@IuTHfHiwg@hAiwEHhpwnJIe_PtANcMqZFHoHVnjpieOvP`r;QfqO`x^dcqoGikUnpQ>ckQhSG`do_uAy`ploXamau[OhWG`fgjK^xI_gdgemX`Qhl?phmg_rfv;xf_h]WW_WIxvqmHxwRGqWw_?Wm]grRwhhAymwiD?wtYh\\f]YPi:xye@bLqcHhnUW`oVjYQs]^yCVsi^fnw_cIsNNvwQ[cvgqhfjOusQpHqrw_\\uxqPhfU_uSH^IxceQhQVkYGagaiMAtGQckPyriqHh\\nweMamsgcMo^EA_<GwtFagaiQAu?ii^`xLOZcnvYvpvIbOwnrQfgOtMvdFibkNugVvH>[FIgaI_EWqlNvk`lXHhlOusIhUhdD`fefrpYvoXp?@qQYty`mpoiv>tb^j_YvggcQ_m^oi;IsrFnW@ft@rnGuZ^fDN_^IiWogSGeUge=pq\\@nEargHgGA`_QueVuLishHjb^gqOgGpoiPrXPdEid=Hovwu\\py^Pi\\Q[j@rBWZwF[eVec^m;?]fGcXvkioeuhaywkRQfDA_AIp>ypfHuXxpinqOd`YRQ]V]KiraTvgXoqxVGdrqHsUU]CXq_itWEbcI=AyCkDRWY^OcZ?UAKdtCiiwuT;fg=YyUS`OwlicgGUlaWSMuiGVdoymciMMCV;sBqs\\ccMGiWqfyESQigr_CIGrZGuWYcuKHI_vnUsT?H?IF^wHTexAeCWmwJASl?y@srDCgOAYGUfhAYkudeMwRKXogFeimHeRtuxfqmlpVKij`awI\\S<hSCqUXESiUx^eSuTOmQsLURJAmuIn_hsOLxQiuTLOR<nQPMb]opykTQU_In?`JAXr_Lq<xkgeslAxB\\ulincdRYdKn<S[Ey>pVNiJkprItXQiOr=qNUp>LJjdXLTJaiOBTtUUS=mTs]KEaLpETqmooTnD]wRUsQIstqudTUdepemM_mNgUWs@pEXNcpsmXWhDkU\\PHdNR=MSUsbXs;=sv<qg@Xiqv`LnkLT?xx\\qWe<YlUh?AxOvh]>wpVrBqvPgosqa?ijOWjsXyMNuRFyf`mhqtGGxJwxG>kwWexQlVIncilOn\\Phx_WyBqoaQ`tf^AawWp`KOiY_toO\\iVduOsaq_wHqWwi^vlT?rEDwYwseeqCUcqwi=EtcIw_rfwv:oDxWIhURpIxLKI\\;wTSSpYu@qCIsIgOYQkyiyTFIIa[SgaRPyCBOimUscuibYdoeW\\ofTSxx[hRef:GRL]twCt]WWByI_eWK]E;=ytEgh?x]SUMwVyYUxeYlExcsb?=Cg[rA]basd?qdtAYuUBbWHaOtsUCsaB[aTJawlKgZgeNIVUqdSEGnIFL[BLuueMh_Oe?gvRCWVScEuRqGTWcF<]R??UAEwjMrPKFeEBOKWriXUQcqaWh]TngYDEsX;uP=iIwEcMgTsFdKSJiy=Gy]CCgKEw]XWMTtOsKwhyCtDAs`srPODyUY:iIVov:MXuoVQwEs?fhSwGIINotx_hqsrY_uu[geAxwCIpwrbmdp_w]CYWScg_T[wUq;YDCffwWKCd?mILcDNQRikvrGhWYX:ufpADIYGGIiiYefOsh_shCbV=UdksyiXLQtD]ItKYCMFDmGm[DVOhpCYpkTEOSs?RQ]XDqtb?ErORQyFQ_el]W[UVViYBoGEWG=oX\\osF_EsaRFYUJkRAmWkuRWURHEWMsF\\oS`sheOeUEuXGUc[CAAwDugDawcOhaGeB?DukURsrLOTW_uYEwBmgSaiO]gbsX`ctKCG^ocnKh?weOQykaBEQu;Qfw[XfCgEiteQcA[rg[IK?troVj?XYMR]?IUuhl[tYSxNMRmQWHERMSeOIhD_up[fRayCehZYi=kw;uby]SpOSTkhvwIaARDgTWCGX]cDSG?sFZ=u=EwgMrQWYgqi@ShhCwpAhPuUDQWQmcNEdA[FDYWQ[hmAc[gUPshImD\\otmmrOKvs;f_QegCIAYSUAce[EZCd??rOkXsOsFuwtiIMUgf;gJ_hO]h]sIRQtl?tBuV;Siv_r_WfGesf_s:ciVATnIfoGdouXiKXecv_Mi\\yCgmDPiEdqTVPp^UvApktEVwiVkQMdHyHyyd`UnYtd=Wa<jmq\\^pflH]TAlUOrCyfFV]MxuSw^fxwBaoZYnKF\\WwcohawPs_irogh>iwiPh^`dmqdAV\\yhp<?u_?_cpdduLCUBUuAcE@iICoDgGXf[iEstKMhiCh;EIpOrOovxuRKAS\\UfuwieOH;Shd=FYMiQwVLWU^mDdwbAuxxoY=IbNqTG?DDKhiWst]CAOHfOCEKxXSEOsfaaXPEG_yTuOx`[sOyTlUu^_xq?U?eFxKVbUtngEOkRasroqDtMc]mRe?dxQutUrkQhPesHshE_s@wXGeGDqUrOg;?GQ=EEkSRMe_eeiEu?gbXCV`uSTUE^ITZifAwXSog^YRUqD??XlQuSMwyYUT;RWGCaiGDOrFsX^qH_adjTPyXVEUmx`OqXkdAWQmV?dTJUYGhQwPTTtuCUjsixSpJLeskLkZmYhdMO<YNxxhQXUytG\\lhISfxtlMtDLxc]uQ@q?MWi\\TreNcPjH\\LI=YETyMXmOqyUukb@RVPjpivY<SMHq<hT=UTbPjTYxIdVp@KEyxTAojtQeXWOaXvquSIWBlOqxkN\\pDanHhTueYixp^yqc]WK=O_ipo]x\\mkQ]pByxwPuV=xHHoSUV:PkaYU@yTFhja\\OG`RK\\pIipj@tJMLdPjnqu]hTQmQ^mYuuW?ityto;pX\\ps>`YHET?ikYTU^@ObmWkdTJqXEUUPEOQUq`aXOYKeiWSdLF`OTMOO=tXUp]dpDmMWEN@@PkhyOXrCit\\=PytSodm^TNCqL@EMMpsglYePyEpxa`PcujbYlcMwweq?xJLQmvTRb<PDdUVmVe<LHAyIdUmDxJEU@eMTEvHqkvYrsdOLQsuLulYjuXqqLSbIqh]pJYTYdPpTW>uo_yyWUUM=XvPpS=pftoktLxhg^IuLIsdXfiiec__twu\\IfSOs]a^VGfjnmjpgkak<XwLhdWGmyvdxOfaHwD@aMYiuX_SA]lgt=gtrIa=oa[vmbN[mXcofn`@d[YgEogkoiUWbUopKxmhHlCQv?_tPHe`Fs^@dYq^qaduNt^VoN_woX]Uyeo^m\\oloWekgZmYuToqaFqPW`HF\\oHbqplgYchXdOoyhgutxqYAAYt?AgumrBsYQexQswIeWjAI<wVrOFTkCqwfbARtUfQSwMoysQeg?TBIb=Mi`sI<IGJyyiaWi;IVWufsSpUiOOgZYs@sCoii_gfZMdISwReFwOxeUg?ufeIXMUfV=xNeu??sOmRdehywtZEXEOffWiJyTlYS=WiFWDHShJCC;=CI?xO?UmYiu<pk\\w\\xjdEnW@omDNY@ODTpEePwHy=<QTQpEHohLxG@ntqOTyppxjMDTC]LSMlVYTeASi@l<EsMIXfdY`InNUl^at_LpBPRIlxQmwCEoKUyiejntKnyliYSchtV\\r\\\\osxqy`X^dnXmuotTKPXOuUCqyNUkDyYeIlfqqXPv=DMGLkgxujHkxIvyXwT\\jF=UPiTn=SYAS`LK`yN@\\NdUOt\\maLoliMPQnQ`KG]ROpvPqv<yTEdr=luVAM_UtUmqYyWxQSDetuYJ`LvD`yHiQuYOqDTUUxWhu_ampmUwATW\\jMdX`]JDyNtmu<@pepnVqWJLlodvayLp`p^qXn\\p_aLsDQ?dVBuTPEkxXtLpWMTODqqFmsvEVppVNhNTYWVDw_qoJMxFqsnPsGhq`HnnPO[xQf`oulOs]QOaqpxo\\uSDHmBhYYeum]Tm`jwMN_pVGdTJQM\\ljE<VBxrfYn\\=vXLvKiJQmtYdlJvnOyofi_SymphjBguMguMVhDXlowysVfEQhuGx;`sg^yQovUo`TQxqy`WhbFGsBV`@XpAfxPhnVPj`GevhcjI_I`byQbXWrLVob@kiN]T^nsIpOXlWWq<FryPeVA^rNeiopJYpYF`T_p<@xKX]dWc`Xob`qQYfPxkiayDOhOYiHP_[Xlg@`qOsOGhovwFVd[aenp]@w^B`eZvmZ^wdHoP?dHWaUV[GfbGgoshwGhgshjHoibyfQohkpq]Hrhx_[qkRPsu_huIoBP\\k>^V`nZHwOV]u_s=GgOp_wGv?okqi]xnmdOeUydox^Oa^cN^eqdGFq:OcUG]c?lCYdcg`eXiEqbLQgWWbY?]@@iH?xgNgIXlrxnRGxNAfxAnyosfxehW`Dv`uy\\Wga]V\\pFq@o]FQul`pm`vJoxPFfV`kaAkNnbXPxepdKwvHV]fn_;ndHol\\^uTPiBQ[AQvgf^AOc_OliQ]KPx@gbwxbF`emGwUpntghmywohvnI\\Vvoex\\vOZQW]Equp`tCynOG\\mglYoe^?orwtTgcNWwsnoLydkwiYipU@kRNqI_utgdlgxupkDFqpo_DXowChSUnGfPUx?YCdMC\\;gpYRQIFjcBdGgs]b@QfVAEa]S;UHgaGTqeU=FtEXuKefIU?QRuuVTud?=SfAsfcdq_X@Ah^khaoXrci<?s`_VKOWxyBuUgqqfOEDO=F?KuBKueMuQoVPaWYcDPauYYUsKdPUrBQEfcIIWRPexNwwIAgO]SKgGWgvUqHqucRWBtOIicwTowXMREQIDuC_atMsGxYuu_gNMiXwHNYCQQXaUckAXxqD_AUNkyByhoKEY\\UidwrUk?pwrQmkpUJIqUXwEqkNhtcmK\\Evpiq;aSiHybHoHHTqlKu`PlQuLEPVhrkUSgxVe=oUIjx@sJEyHhtfHoWFwGwwTQoRGeN>iTGxjqm:xhVfvL_b[ng[QWoSDAr]wib[i[yVGmuD;ENaHVyIj]Vc?BTqIK]D\\cRoctAUWh[sg;WdUDPaX`qDJeBg`WIqONPRtItCestPM>`JUAYWdL]HLSYw@XPDiLg<nVTwtMWpanQ=oaQUKlKoARinqnV\\]@tmFq<pxNgk^xdugwaWsc>owPhyobG`pxYipvhY>vyNwd_nHxaqihOx]JyttqgQavxh_ew_u^lUwbvvcqwKOdpae[osgkVvQrWgkHtLNIoO\\xpqrlxlEhroypTMsXEPPIP>hleEvGiXNuyH`TNQLIuLhik`Qxq\\SoPMMmUepNAqqPAwKitsAYMepFUQSYoGlnqho`LnRpmF=PCeX`yXfelL]rTERutoHEowUYZ`SPAuCuQQarKyPCxpXdOxpw[pj:UkSluOHTamSw`Y<IYElnTePOdtVtXjqn\\am<qjpqpvaqfpLTInnXOqtQ]hoCqmM=R>@MkaOMyoiLScQWn=wDxPqUk]eUpMKxeUtDnAXQV\\qJEmylmKmqPqUmxjMmT[eqE]LrAQr\\sMDwOXWt]SuQte@kumofEr[IOXavMEM`htpQsK`KmDlIYwgDqwDKsMQMaqLmNSxsbQo_DnKLRgAKaiympqtEQa@nSetD@tjqmm\\WmxJmUWPppkMKTUrixVhIpLemumtJUOeUOoumtij<Qu_dSNEUItLOQO<=KkEkiupJiYYmPPAqaEppeJExYg`mUESPttNxMc`o[yPkXkGilVyyiXmdhP``qPloPipjemKpnvUs\\mlyHkVUTREw[pnPQOq]pqul@TXemoPitvhWe@vaTSkUu]xt^@tQQjeXldaL_Ivghu?aWFXTJqs:UST`Qw\\KM=JaiOXan`mndMypdMTYh`apBprbhaqveRh^N?prVluVmVNy\\FrsW]Yi_T>_=Gm@obOncBXueIbugyX`klfpyqdVhdUqemx_]PtUAbQXygqvK`kdvsb_b^yjpVl\\QpqYwFOoK^_FPf:WswgmOwZlhsDH\\f^bOyvpGmO_d]xiRNoCpbI`e@Gf<quSAek?qbpblWrXIf[PhxQlkPemxlJ`a\\IrGitOOrCpkR`sDqlHO^Iybkin]Qi]HwGWkCYfNq^kAKcUe=gH[xkuEm]dBWXd?x[GHhWc]wclisAMCiwUYaDHOx@SrNcX`=efwSByFB_dtoRtcXuERHsFSHYKdpaQM^HKnHWFEyHpVAmT[]kfMogAQQpkdMpAPkePXLaWtlk?qTuxkmtSSLnjauthLNqnNejYQwddLTDqdXsvxUYenH<S^QydLOQiYWln=DQ`tOMdVmYv;eo\\`nWLPRhY?TkqaUsuV=et[QVTpYChjhqi]Hu=O`Cxtb>xqVm?yx:X^`WlA?\\xvcKfq;Acgyw]pldfjpOc;H\\hXsahkQxgoDhqW>MhPuseeXourfifLwhPWhxsgEEfw;eXQXNSiAmXlMxVstr]XqEBqgx@ixGYTvQf@cH?eesCSsabmqDFEg[GwUyy`[U@mSmUq\\`oHPjfms\\asbEnWTktMxlamNER?IM:emv]L?DnTxucxODXwd]MLyLeeJOeNeUqq@YuduTTYgajQ`P\\XoJ`XE]x<Tq\\MsMuOhmT?QsHUxxaoDtxVXnXDN]ir^uYHIoTmuhMQJXU_TxSQtyxUqPm?XpviuJeNfYqnhndATxHSWtLX@W?TkyEn>aNBtv[UncEsPTlexvg@lRhXGIuC]uE\\KshrFusrQocPSbeTX]UCeXnASGenTYXuUjkPyGTS_tqmXloaPFeJ_YqXATuqno`mBXL\\Uq`ix^Yp[QQwtu>HWqLShaUhEvtal@xPALkrEv^yKRTRh=k]pp`YMuXxWHPHYmXLWWPmlxnrdJFTTjDodULwtW[PmKplyLrOepOTwsDyFHXlLy`qK[eYYmUhd[ihst>l]?lU>nnN^hwfMAdPGl\\X[h@]HGneHhI@_hPkBW[FYZWixuah_P];QvWobXiyWgh]NylgwS@sVwiQghPqwIq_qw]>G`y>oeYwwggovZlW_>hsYQpLWtpyg@Pc\\PwI_pfHqtAd;gn<idevkm_^SAkYgpRhvSphr`pDiiu_b=ijuWosPyOVd_`l@Op]vghvn@_vKPqDF^EnglNtixoUOsSfxVoghpa;w`RNwXapPPgFqa@?soQygvgTQcNV`qoeYPtr_tK?crIocaZoiqkno_ix[WrGW]TW^a@y;A`?hxS>ooI[ai_NW`\\x_lXnRwrCofPWfQhayVa]hn=OudAsGYh?QdoG_bwbmAdPGj@WabvnZTMqEq?il[Rx[d_WslwSi]tXKs\\[SEKuSuILgTdIF@]cDERuKwpyvNGg\\GDkkeYEswmTKquwYc[_UXCeIEgZgSN=rHcDP=YU_wmqGEcSjaIYiDP]cF]TYUXr_g<YuJadUasncyEqfluWwOWsCVuGiN]wBYX>QT`?cR=G?yYQkiXAWbwIdeHDQftCiaMSsGRaEIdUGPchmkRVYw@_v`wHVcB<adQaepmunGgoKGNMWPwivUfHabvMfb[RYOwbAiOGE:;BB;RLCTJcTdmUjuVkoGeGfUWUbIGBQvNaHGwtKuBokRC_If_YVUYeATpmI]OD<MgZgEGYYb?ilKc:qhNERuSEpiVO?gA?YDEshywVQHLgWN=S`_HlaRN=tpQywIi_OUkayrIwoggoQtGeEj[dcwvMqxBwya[sjguRUYb?gVmIdeb]qEEcDZyvFgvlYXMIETMw>EVx[UKmwc]XlwhUWwXMHOGW@WrQ=U\\wHUcuQCY^GtB]TGQrqcvMuSrYEgeFDScM=iSWEoeCi=uE_v@uvGGGnGImiXAmIiDwBqs?IXPAWn@x`En[MktTtYDy>Uua\\TmLXKpRp@KTIuO]mSpuJIuM=oiiOZpYWaRQuJWiWsEQ<ejwXPqtW]UUEATHHr_UjCuPFaQXXlyppwHYImXxXokIlrPJ;LlaLpEptn=UpiVQDS[pyVEj>`r^uS_ulfpwRQPLXT\\`k=]NUTUlaXhEsDqPHERE=MK]lByxfpw`utyLMFPt>\\OEYUdqK^yllPxDDmKpk`lUmtpv=pr`XcURgIn\\QT[uou]ONQQvmtRmvXlM]TMCTrkQR?dMJQp^pnpAX_EMytmrDU\\mnl=y\\HoN=WPdxb]qnaMTPXEHlXMwehK_LlKIqr@khHQLaOddNoMwT\\OiXUEHkJqJfTmUXlHlM_Yvqqq[uONxjMLqcdn_ix;TJUTrXalJQNWAwetk^uutpq]LwDPNT]S;pXOQKeYLdHMomL:hqbTlpTkl`SDUXQARxmTLUSa`pc_qVAaeWuJogXPi<fgtNm_hutx^AAvcAvogp=ppqfwEI_NamOWenHbUY]AOhDhlGWmXp\\^Q?qw@[yFGf>Yu>sVqiHUmCN[dJCyJmD@UGDUB=mdS]RGkyAGtB]D=IT^uUiQgSQxvebK]h>Ug?iUHSeFoe@uflMgHEvBshTcGi?UDgTmQYLyiqsDrwWaAco?S]WWPCViMtqsihUGZYRkIiGMt?IGhuCgYguShiEceAY_uhXIE=mWy=gembwQDaMg[MCeYtYSwMKxCctFoS?cGHAv=_ykCgGeu=[ikKGr?X]YU?qxKIfv_E@YXVSfbirgUWUYvPsTSUIbSSX;WiEuQWTZIu?=sm;FKUUMAShEf\\MFIyETUEOstswuJ]fV_c?etY?wxoFd_SAKCEgH`cUkeHBoYGQVKocs=gn_RKACdstTYid]GIiTP?cWMcFqwwoCUWS>uipCtRsusUeKoU=YsPOFGGvekg^uhRKe<?YLugHkvjIv>?uUuHKyHUwdXCsvgYwgWp;udUH@AH?_YHqXsaeOmIPGEfOexkEeuWkMIO=t@UIq_wb;ts]cAcWgaxk=dw[TVeVgAfhoHNyBTQUqiv`Ygu?CsWu;egGQc=eyPATZIuosdSetLahysiJEtvIgBKrZ[u>iYGgcAKcD_DDKyGScbwryuHPCSA=UPuur=gf?sUGBtuXoUvmeT?uXSGwHwsUOc^WswWdYgrmAXGEdDAw^uWqkHw_Vc[TqaCLwU_ig@ovQegsQcXkh\\GVdwfpivemxvCY^SuUMTTyUk]VMEvFGViUuNiH]cslGU\\=e<mI[eYHay\\?Hu]TMyRWatAIcbCVLMEfqc<aS[kFK?FPCXGah@sEHysL=ijEwnQuggEMGIuAc[sU][C<_S<sToshfyGb\\p=IOr=k_iYGdsALkEdj]aYEQRGeqyHMEDka=oUENwQptLqoAT?EnAhpd\\XcLPMiSIImDdP=mKWIUHupXloe\\L>ywHTNwUJrEtL=NYLs]@Xjqu`=ndAyDUm;MTGEanq\\WhxOWih`a@hwgH_nvaYo]NYt:Obk^wgIhpHuf^mm>bGG^Y@lII]U_\\`godOyhPlbh[T_l[f[ka\\`FuHhgdq]d>tk^jr?afGelpo_XgIvofP[=^lpXjpppgY`^Q_fOcspbXyu\\g]Cy`F?nZhcNGjpy\\`ycf@nPFpmgsY_ksabWy\\QGt]vp`HyJgf;`lfqem@gGvaeo\\VqsfxprhiqolDxfs^gCy\\tfvdNv>F[Cqgq>tHIpiVemAk@A_ToxpfeufudwsPNnwXd[hc[iumXjtNo`H`fi]U`wJnsS>vUVjvOy]vmbIiEftFPf^pos`uYqml`vnQqgHkGphAGct@`?ppMxdMhm?G]UV]uxjDV`^@ZxNbPoaP?nUWuVIqa@bi^xrgvu?tDheSwiOxmwpjiqtux_yVeXNlXitaqlsOoZvhoWheAc;oo^?^lpmm_hmwyyfeNxrwyqlHp_wiKHjjNsbYx<vup@iHNj^_tmwiDOceNu?xZef[EWoWq[^yiR@w;ywgPgOP>Qd^Mi=wiEqsBIh^_r_WfGEYlAdx]UtYIFcWiKUm=y;KeHebWIYuoeTydiCum_rg_yZksuKTtwUn]VXIdbUiwCfuKcFUgBIGtGtb=e<CCByFNUX@EcbuWsMX\\eWI_YeqcL_hWgrcUEU;gO]HV]ehqt;mbvkTRGipGct;YqqDdaULUFhmyOEBo[SQaHq]we[sL]IGCRCqYM=emOeYwVg]fjsRlcGWUrH=ECEhXoGHiUSAttwirsTDUxwSSU_XfwITSX_qv`Qxtqt=cVsoWUYT`[bDEROGGhCTFsR[KhSKuriYiQHLYHxsWCiTrCWQ_DTeDsCYrgGU]eVYum]SaiEtosQcwtutFutnWdgQdNCtwSscuvmYIMuiTstAOFTKDccFR;EMcRoSxFwXXQC_EHTSS[[Tm;wFUwe?SDegS;XNoFmMiM?TYyGI=HNMd@AsaYf^Yi<aIRAWYYUNGSNSx=OC[EcTSiqiDcaTwKTWqeKYyUSI@Mclgh<MysWBrigl_hEuDjacksbboBb?iAahNQtNwBdKXvkb`?xEsujScACyuGGAMxooGe_DQmEdgsKUiguwkKtgwyn_vjKxCQTBwRn?fiOEtSbByvayBMabcOIiQu>CvVOcD=VDWHSksUEcSeumqTB[RXcR?EBdGETQSAITP_rA?GQKI_QdrOygOxNwcDOWDaIRAtmwfrSbKQCv[xMoBdEWgYGHaT?SHleXAiWbQEcktmkeMQcwAt\\GFEUyEUhWMdCQyRWRuqiToc=cdSQtPyWSGg]aximfferreDq?cPWt>sbdQh_gHqQEcQeaeGSMwZghLAyHYiF[tlqYxgSaSTluXu;wWOYtuti;um[vwUWyOeLYyVWFOwwUUShquNyc<OIGgBu[gSqCsaxAmIaMhmqHdQYDWflKCgYfQKhnChh=rKEdZaXCyvHQh^?itGBheyjsVUOhFYRUMY_giPqHRiYVSXGUbGyrPitGcUDgHygHdIcdWVKQstqcwiVtEsoYfV=XGewlyvDeylQoxHryEPcIyhpQHuKYmoaqwATwoYSEeuu`y=QnQLmaduGLpldXvXu:uw_ymg]tZqXllS?=lBXqnaPYlmmxnMqx]uTZDnuPTbhlsys;aVa]kMXlIYY\\qJJmdigm@p\\MIgAfgY@dGImiNnCh`=`tFfoVasU>fFqklabhGf=gwPIvl`nWifCqwb_afrgEfPctXUVdCTAcG\\[s=SUtuxSStncCJMw?iu<eHc]fnStOYRCIGemh^]rRqY_QiOghN=WqydaMG^YtOYgBoYSEVpawCWru?eSeVMqfA?chSGoAtiYYE=wQYRG]iAMuO[hIOU_oBdccIqh_WxAgXLsss_IiqtMydCwYTYtVesV_Xwiuc[HImeW[S\\qs?IWaiiU_EbkgK;WX;f?aDlICOaB[UDKQwgMrTgWOWe]=Im[h\\CV=es:ADacf<wsOoXPiVXSvNadJweQixgIGEmTRqbVGTrYgLadocxN=VX_GGeV_iyrEY[SyGEWtsxYQwtUuBEU@_DQstwwheEyqeDnUwDQEUqyDaCsubZwwTgupwwYcSSKxKUGEYGuwCNaVrgbPYT>ui[]fukyqgF=mw^gDDytLQR_grv=ggcSFOeeSEkIsgcuewf@ivmoxNsTqWUkmceYYMmhxYrK_XiMv:iICSBbChj[S;wRokckueJesS=yPQfZ=i\\CRPkrOOWDQiTMW]ewgsSlaH=eUMaeOqWWyTPOvceYDwRagS[ghNMVAMsMaDXWU?uu\\gTOiilYWrmrNofHWuaceZeRscwH]YZoGWMSmigLEh=GxYaGcuubCwwYU]MEkAeC_SN=tigvqib=qt;CTT]wwaYH?WuadRgfgueXQwD=g`[GKEtFcgHguVEiEWURATm;IVehSgD<qemYEYSg^ObtYxdIbwcDCKHm[TngHY?gBMUMUtywg\\CU`eYDmdbCyGeBOmtOiHwWFOGglIvXObOAy=Sh@oegyHaOhXccN_ga?xLwIOiflUiisGoucCIyEgFOmI^erwKTMifayUq;TaWwyUUMgIw_s\\IdyofQcgCYbpaRqavW_Cu_G_=D<IC=aDrYrf?wt[HWMIDctFOc<GhgoX]SrlSEdkhcmFXUsqWehIgTasBQVa;XyyydOHkeSocw>Yy^eVLSwkKEM]YbyicOSXeg__dygH_SDO=v[gdO_H_qyT_V?OWLKvhiYnOrbIH<svUeFnud=cSCQrsgf@_simvEOirytp_R@mhXgXC?wQixNAhxyWusyT=rjogHIR^Ywc[HAkytgWMyHqsw:EfWgCLMSJQVDCyF?UewD?IHt_cKEI=iHk_cfKdYQuDiWXqClYvdIBymsoKVHMV^ce]ke<CSRwuOQtgWGEIgXswiWSLWcbyP?IlptYb=SlaMSISWYpEYK>ioYQOJtO]yOPaJQUk`TsDQnkiYMuOXQrYewkQxhdpYaSSINypSHUQKmW[=m<tqdPYnhY<eP;xkT\\VrpY=TrDHVbytOXTIuwXQwrDtJXXCXwIMopXKCxmntW`Lk;Q_KVgyio<PekX^oF[DAcsP_E_hOGoAXynIm@FrF_d@HkQPucwqg?uPn[u`ZZiwYFq;?\\mq\\_h[>fylnq[`hRomZIpti[yv_WIc?_ppW^]Qk>?xEQurFnJ^yr`mdFuxPuGOdMx^kgj=iyGgevvxgghSv?sifIV:OH^yB@iwTwdnii\\IrwiSkQc[qeVifwurZkfyYRUqfiavhAy=Uy`CynIGVyeOKyWOR<wISYV_YtGagBEE<OW<GCY]E;ab:mI[OeZMBccdQaGeaUdMymQx[sWukgcsu[YyBYgEaHNOxyOEpCY>KwMgb\\KUS=fKoyyih?ICpygMwx@ShkSv<OhxuTikURyEfYE>ctN[ynwuCEE@OW<?DPpNnQwGAyDMLwtW[Fb:q^cvrhqvoG`fFib@xkFgMqu@hxD@oxwacnug^gtOp[Wj\\?wEvryh\\uhZr_nknl_ynFGdFal<i_xYcxq_GYotqihqcsytiqfcfvvYaSVrxng>>bov^M_^`^oWgv\\QaMwj;as>ppII[EPr^y]X^dM^ZNgifigSwvX@bNh^yF_v_lD@gMQiIAqmqgMVxYQ[pWiu^tygpw^oS^ppyZtyb<ftx?j<W]LPb\\^tbpadidoqnbidJImVqxSntq_]bp^B^dP`jlVxmayAatUpiV?yB?\\aNyQauWY\\XG[@Fq=H_exrJ?u^nv@Wik@ly>sJgt]>dG?\\lGeoyr`gjWF[<afeojj@xZ`]HA\\sak^yhn>ZJgx:^t]?lIImjqy?Pt@>Z:Pg<>saxe?HsA?eS^lp>Z:acl@\\Jgl;oa=WjiqmW>_d?Z:>uT@ZlIkLqZ:>bwnZZvm[?p>gn\\w^qOw<>Z:_\\cpfn`tWOk;?\\mfhfXsfGpxf\\;XfJAf:>Z:hoSNxEnlhfdh_pZ>gYaktwr;ayk@Z:>o`?ofO\\Gi`mnqhfktWwmOxiAaj^c;>ZKXnT@ov?^YXtsQ\\NNo]Hn:WZ:N^Dqtny^wPibp]dq_ByvNWsgPadI`DX^:>fdidMOuEyspP_N?dJxsBilX?]`@Z:@nOW`rhi=I\\\\Y]:oa[?m<>Z`_lgH]Lfl?>lIA_Jiec`t<A@;B^MytAt\\iWXKxsSRF=UbGG:ShMeHaWwasgbyyBOIAKxScudMgcUe\\?U=;BUUHfwgiAW\\cbvmR\\GUSKdQSRRkf:PW<<sa\\ro<sW]jQYRRln:\\RWPW<<cJFe<^[=a\\:>uTHrWG^dX[ByvfppGG\\D?\\:>o`PnH?xa^g<a_Shw>NxC>fRPZJfZdH]sfx:x`[vmgWpW@bxFbjN\\BVrN>jSvgeoZTwdFqpSqcZvm:njc>ZJgc:Fy>VtgWm\\Nf=>Z;Wo`>ZJxscNyCib?P]sWpGG^_@ZyFvZniEnihiZ=o\\lI[\\fyoghlfk`@`FGZNW`byl`w]i>tbAyDFy>nqxObKqwjIdqqgA`l<HeoQse^okyqnXYyD@GW?AFY?riweJac;kbc;bgGC:[^LHmSPio@kkw[`OlgHk<W[Zvm:Zjh`;^vM^b[hgD@]qAZdH[:^vM>rjfZmFboFdXAZ^Y\\ynsbnpGgi>P\\>gw@>feOZBy^nYZ>Vlu?`N>ZNW\\:oa;>[Xq`?HfDNjMgscw_d>mi^[:oa;^[M?ZUW`rgZoqdFXboveRPekGn;AlIIegoi;bV_b[MCOacjyRIGy<AB^YD>EeTOfxKeGKgCwVgyckKCZseZmHTovBGXIKR_UWtYhuOIN@siDQBTlEDy><NFhXD\\KMIUePmdUmFypRAnr=JByN:<PFuV<PW@`vJUPumTMDwH@V@PRxDJB<UNTJWYSmlrw\\tnmVRQm[DTS=JZtm:\\JZHrjUxHqPOarMyJJxS:LRfUm<APWPSsPk>`MP=QsYnbIk=YXUDs?amj@lI=J=_nnoZSQmxx]q^ZC>rtaZb`c=WfUP^N@vF`dG?ZZvmZNee`tb_[rI[=a`BftVPyMisLxf[^ulN[X^vM^sLgw^Fl^q_U`vvYgj^caHtPa[tahKYwdhjjObxFZRH^FqvJOjK>w[hr^y^:NxC>bniqfysLVrnOkw^p;I_bpfpxjjOxM>ZZvm:^coHfTfnoihNFkGn^yFZJxc:nfBhgTfqwykZOn;>ZsaZZN\\_x`lf[MA[qAt<>ZsaZ:njc_ZSnn[^pov^fyk=VqP>bxFZ:FnNiucxkkw]lg^U@trgbAyd:Fy>>^Zgd:gkSF^@HoT_v<O`dvem^kjx[=a\\kVx:^vM>jCh\\n^u@`dnNw\\?bugcxnrw?eYPZ>@\\:>sa>kNFu:F^k^capvWiZI@]:>sa>ZKyn`PwRvxTp]T?kV>ZJxC;BuyC:?C\\kBS=B:]BdyENID:;UY?B:?G@SXqGB:Cy>`oj`U]xxV=J>erIykjyoN@XXQJ:Lr_XqlUsOdUS@JfxS:<JjQK`YK=Tp_@oMhRAtqnetvXkQ]UkMy>Io]eU]Pxgulyevp]VJ<J:<jSUsCyxYMlyeURtqB`msDRHpy;XyEtvg<J:<JJ<PJxCIC`_C=;BlIK:dw><JlIK:<KmpX\\xPG<JJxc:>ga>ZJxC;DH=fW?B:mQ:<J:vMSd:UXTaG^UC:;Blnq:_mp>Z:^vM>jCG_b^pM>Z:Fy>Z:^VCvq;R[MY<;BZse:[B:?fW?wn[B:Dy><J>XsLuR`<JJdolIkYxOBDqcISNeqjEJ:<JPyN:TLbun^MU;ER;<JJxC;fpeR<IIC;JsC:;B:K`:>Z:FY>ZZJ:<J:Lh:B:;FY<J:<JBy^:B:;dI>Z:>SB:mA<<>Z^=;B^J:DI>BJ^[:FYBZKrJkd?_Y<;Z:Qy>>Z:BBJ:LH>jv;[><JZ:K@<jv[Z:;HE?eeYVUIsqyU<mB;;:oA<<>Z^=;>>LB:;<>SB:mADLBTJsa:Lj\\mWJYYh\\qlqK?QmIluuELSLK:<Z^Yh<^\\tGsCN_N^\\:>Z:ag:nsU?:<PoptaxK^tth`VIPKpHojpUh]nDUW^qrePYquWeDJ:<ZK@_YxcG`yHGp`qyOyylFnpO_NWdk`os@vuwhGildYg=>Z:bCMh[kHwMrssr`Qys=FsyTcAfDou=MdvGYmoCw=UGOd[MwIKtk]DQkB:;B:[SLGvWeI[GhxcDLGgcSVdqS=myeEfqSyOybxOSaQrF_f:;B:kf??tngYdWUhctg?e;oEj;FooB:;JFeN[iwsUwypXtUScdoY`nsTK:<J:\\RVhxc@P:evw\\WwUsXpVDeSydo`QS:<J:<VT=VBQn=xLVePiQlOtTVpQkMwRutbPQ?YT]tqmynILTB]SO=w\\<J:VtEx[OYeRvqB`msAjVfi@Xyufs[W\\ZQl?>Z:>\\G`sWpuMYr_V[:>:_Y@CgZ?YF;B:\\RQ<ksUK:BZJ:<saJ:Dy>J\\HM@hLxymuThTwvMxb=yhjaoYvujVpEnbRWhI>yMoljA[`hyK>ZZy[mwf^ieSP\\Qwj_ApHHlSAd`NrNXi:yyl`jA?`gyk:>jSO_YpilqscHxMvnSXhawrx@]ookHX`VQ]aXlWvhHXaSA]PhfsyokncPIa`afiqqcaqUx\\Wxk\\QZ:JsaNVpXXMQIHQqmys]mvmkm`TxDukmtcaQy]sC=QOavxpkuDmkIX<iWwewgXXJxS:BBLKauXlMuCIUUXv]aT`DQ@amFtVqmkkUcNgcsxyAAyoasVnZ_gZ:>Z:^vMPrShl<husn`HQ[lF_R>naqbSHhaXeiF]TIbShbSGZ:>ZJ^qvOo=`qIWiNiacOsm^aHI_=HfRFns?emWln`wgf[:op=Hgcx^w_dTQmCNbrP`JQeTG`Avt>xtYf]Pyn\\Qtaxh\\HpCamw_hVH]UV^HoqGXloOa_Vfm_ucndL__[G]tnranZ=YfwhtNqqeyhYftw>bpxsRFeD`ZMNrqi`bhnByhon_vgm^QsCAcWPbqw^vpycGfPWw<vuIqljpchPo[WwTP]S@]@XyvOhPpxphv>XpmXo;IcoXlexjJW\\sif:FrhIbpXjBa^>Pf]Hib@tDHmTg]]Vts@]\\Gy^qgU?ybne\\^\\efve_\\ChtcfiVvew_ZiwgeqaXausNgUN]^xq<feWgkVyeUwd=xaqV_yasryu[Ngd_fuawkV_oVgmfh_Yvgpblynx^xPw`@PoT^kFWmRyxwnbEWcVaujffPpvlpv<ajuXyB?npO]bNgVFvWhuUYmuA_YYfBH^FgbkGcGWj??dJQZ=GdmWg]@lZV^e@sCQ`k^m;PcR@wwor:>jJ`t`Od?XnXWnXItYPyJOo@o^VY_bQgJyiUPtqWv\\Pe]itcftefqo>ktqqAw]If^\\PwXIq;i\\ffcOFxpWcxngOGxFqnxikXPihGiYao^dVUIcME@gEaEsV[iuyBHKUZAdgYhJGCemXsMBoMv:oXICfK=gsQDZsgYgicYg`UHa_yoQrYSVn;tvgcJohIIi[giAGSdEVBifNybcIS>?gBDtf`mUTRDMKDhOGQnqpPQARoXxVAOy=L<qksdywPuSxVLPSxuw:PO_]T\\AtHIMZ=jtUY]yxmyVX\\U?pP[qUxmMPYm;@MJeMoDmDdsAqqxAulHlIanVxpDPl^@UHtrEXUJiTyxmBLKd<WaatYeW^ML>eXFPSVLusTTgAs:PWp@Nd@kCTWKuyeHuCdSFAsCYubdoEUrLYxPyyLlvgdVBdsJEr:dtppQSms:dv=QNrpQHMrNlLNtkm\\sSHP<iY@AMxYR]=y[=wDLOk]Vu\\sJupSAL`POk\\vp<w^]pMUpiMkqDTIlwDTJo`namkoIojNc_Pg<Qv_HmLGpfYfivaYqd^P[?YmEvhf_kBGr@`eiN\\\\OmmqvLgr_ajm_gFpo[?`pgry`oPnuN?`>xarVd]>tTi[Sq]PWxBWp]^k`wk[fsaw\\bgi_Ynh_xaFjiQx]pwWXobIo^HunHosW[Mnnniql>qVHmjxfMaxNYi^SjQbeovWMh\\QcMyFHeEeQEOufrMW^yXUKVMySxwyLaDNAF[CfmIs]oYHyxnYcYyYx?v\\WxaqsKMu[yVSMWROi_YtCqsSsy\\eslYCGmcKGujsuakVEQe<[YNgFvKbc@K:aOAyjdi_yDYgeZsWvqeVGyZMYvMdKWVCWXPyFqIf[MvAEcjIEoMthohnwRhsy[[YneB[EB:;JZ<PwDN]YjmUW>`MaXlHqp<QPklSdpk\\@RluusDpVTvQHq?lWMTrAiN<EU;<Z:itSoftqfVGk>vvoQt?YhYgiea_eaf@ifKG\\ROaaQknvaSVaQx[cyp^Qys@_l>Z:>Z`HutakJngspx<nw=Pb:>:;bv@mVTNr]p:<J:<NYHJ:pun=YsAr]<J:<RxTJ`XxCYnJqV:<J:<lIArYmu=YPfmWP@u><Mn=Qgqx_lM;\\Sv=JsakbmusdPxMvnTXhawRyL]psKIXTIuPxm:UYVIs@AK]dTVpStdXpAmMhquqnmqWX]XxLkE<Z:>L?XTIYcaI`ausyvkMxc[SwOrHWhHuvsaYJWUtsrDceLgVV?XUuUuUwV[vM;J:b<IuW_epMtJIC]aT`CCGOtAUbBOt:=iHMg`Wv>]CDWsFIVJmT:;B:;RxCGVGUc;uWWV]agNSIXWH:usGOH]qSqoUl[HZkG\\oC;;ZG?rkvgQneswj\\Y`gyxJF^QH`e@mjO^OAbaOe?>sp?\\xP]LFmJF_Pyn\\nuXaxHGrtFmmxkHX`]Wf>IsqHhlpca`ffokufemfmKnl[^[EOfjVuaN_k_fu>[sg\\nfZQAZgakZVwmo^;yxmhvavd[Gutpn@o^@HvxvmVhnwhgsFvfawd?hLgw^ajNnmUwktNuq?Zw_sUakfwZJphByfjvcEGvDgl`HgO_q>Fce_\\ChiuOfOF[Nybjqxlnwuirvpp[HbtY_JitOAswipog`rYhmH\\_QsHv`MntKAo>IlgY`@WinVgmfHjM;Cg@CfWGV_mWbUSUovnYwLQh`Qr>WiuASZ?emiIJmRsqE=]C[MGDWSdMEfKb<oDRKcTWUUcb>LpD`mfTL=IMb`j;Et><VpMugMtl`T[AoQAoq]xapQNPoKHKqQKYePBlnNmQOtosLt]Uxpayv]QQEy>ym[AY[uLvLUXayT]tcUwNdYmPldMsoXl`HVbawSYXjQWI<JjYjCdVFmm:emr<nWIRnIsaxkQXnCMW[aLutQc]T>lTnTOaqrJPl<PVEUpbioGiPJewvtPDYofDVAamxqUgase\\uLxuUlw;=PUaKJuWi]yxmyFYje@t`\\uEdq;PNBmQ=pwhxnbDSDhvj]qrhjUDR;eJgakvYoWPMZPm:lX^=XLiL>eLkDVgLQsQWP\\j^PU^DVdIYeyy=exPPPNer<yjaqlTumftV:PxixKhxkM@P?hJ?YvFTX`]kjumkljyAtRlYRLq<>m[pGlndDLp<WNDPSeTJxl^DVSyMIqj`MScenqXNF=mZ<T@qrb]SxHX[YrLyknlR_aqs`KqIV\\=MHuUW`jZ]wDxWjLvjMxoQXJdp[Lpw\\o`xntppK]xRLxwaw<XoipNfhRwhN:PmHURwxRPdMvQtOUxhlUkercYLapkoekdXTvdPlYqGDpcyNYyYc\\Yo<SbeqZhmImMOxsqav=QyviriyQY=XKIymuvbtU^lslQTDexOIsC]OEIuXXX@yqRUpvQRMXV^mrIyxc@sw<L`\\YNhNvLjcuY><VPXv=exPlriLNYhY:mUymjuYQwlQCAssET\\aoImg@tAEcjrhJx;<J:>bZ[e^exHvl`oswtPxkXx_Hw^WT[^MPVllwutNPXVvQPq@rgMVrAq>=Oe<J:<J`HUxDsN`XUemJUxPpOXXydYUaEUaTPhTww]sLIQQ]nsIsRIqv=SyhNQys?EU;<ZZOy_Y`L>q_QuE>qIN[;>Z:BlPVl]kZIt<<J:FyF>Znqn=YsAn];>ZZ^uZN]:>Z:>:Qy>SdqcYj;wjMigYSvKBR?y:kta;B:<JlIK:B:[N:<Z:NxCZ>_nvOcm?[BwmcwqAvaiVrUavsWlvfhRwweNZE_s>Xpv?`vF^v>^:Y^:FbNWjKfdEwsBOjcIiepmbvfTv^Hpm^IuaFaYhwfFmkVaZPkr>wrArMHuQ>vK^bcg\\Nnne?dfHk>Xk>hxC>Z:>^LIjRocK`i@@hh>goxo:?epqvR?^dH]=hiuP]NF[NybR@xJOmQxv]w\\YyfNaq?H[ii^^FwwaqZgsGGbrghnfy;`kEFwa^tXnd:>ZGVmC_b;_deFlsOZOVeCxnM@dk_`?qq:vkZN\\FQcYit?ajONJeYR;tI=IJQWJ[b?kd_[yIaVh=WEdxn`wliVGi:BF]Y`ySDuWQMvuuDyysbyv?[bdciyyDVKdQKTCyfa?gveFAuej_s[sSc?utCT;_V[II>YFB?GgaTyad^weyOYGOYAuYdEFcylIymj=nOPtN\\sEDQUioIAnYMs>xs>hK;pQX`uNtQNAPoPlDUtQPyc`Ydax[AsA@XVTtyQqOdpj=uX]YkAK\\LmCtYqMx>Lw>InwIuDLvdtmYEM>@lCeXWLtnHv`Dy@OiYy`aHxbGbVhewXkiIiBi`IG`SxmexgAw]VAjMWfOPvK^c_gjZynyIglfdD^nho^EynqPl^@eH@\\=HgtpsX>tKQjEQaGYd>XrsW]>hi]@xVNvQp`oqrbn];?axOr;ftfWlfAuIf]G@h<Qtmqtyynhi__?mDikYxjGNf>@oyfsIny^xxwolCVpe^uyx`igpjxkTIemW\\dWhvNjbi`=Wjjij@`rq`ZMnh@GeYP[S>lDgt>hrEW`_xgAYnyF[`^ccvaixau@iuns>puUvyiftAoj>FlWGjXxtyW\\A?oggn?fxl?bu@sQOim>m`Gcw`wawlk^a<HoqfaOya_vgwnjnvmW?hynrCVgKwaIVoRi]Wwj<QxhVcPf]v@vdx_YOp\\Y_axcVPaPi`dpckatBywp^r`xmvwy_H_bHb`xpxQZVfmIo]?agSWd:HskNvgoeq_a<Hgy_ZZol]Yboq\\@y_\\vfH?l]xiZqyHwcRaZrn\\:>Z:RGaxFudWkFYSVJKDHStM;B:@oKxsB=tg<Ka<J:<jZHRFYU:<Z:^VB<ysV]V;;TZMXF?FM;xB;B:;dI=D:;wDycA=B:;xA;IiEB:;JJxS:<Z:^V>Z:`i<B:;rF=bpeE\\=SjSXi[Eseyg?bLyGxGwt[Vq;J:DtITS`DumqxUXsyitIalyeQjyUByW:<Z`_loIaoayty`DIfgwatypOQt`Fgs>n=N_pQxw_mZqs\\ysoyZkGoMxQyrogbdAh[YiZ=B:;bvmB:=RduDlQUuMxACChQyaoIiUrnEVJqS:;rfsBWub`=IVoscgW_=B:lVl`Ylexx@xKpqLdOAIWZxrKxM>MQ`PvjPtT@RIunRYSwMW?IxwyqTeRP]JaLk;iMv<kF\\J:<jShS^qJgYlueM?hV;AlD\\tg=oxlkq`JTXKMHqluWaptF=vuQWOtl^iWqAvlPrqIr=@s:=J:<jvWntNSWTMewdme?yrcgYrmIw]UyabqQD>is@[XvAtX[IVsh=;B:;l[`Tl@PW@SLPqJlmn\\YQyM;pUJ=Q`EJ:<NL]vmMU^PQd\\qEHlpejDtvglYm<J:<R`]SIYU?xlo\\TolYR`t<ys=qj^aw[YMKMK:>fwobtP^tY`JHtUOyZ^mqPthVlVfxkFv_Fgp^`HouOa_ypvCof??[mW:;bS_B=mDW[yLiTmqGXEX?IwMs>:gCkjLPVwIlQyuD<ObuUNprvhRiMT:<JRhTrUTwlk?HxE@sSXL^AwiIsSxKJlP[MJeiK:<J:<TmtLS=n`\\SWhX;<Z:`iLofjaad>dG?Z:RR]vMSxqMB:;BRghZgwM;B:<JsaZ:>ZFgkvOpFNx;>:<y;TNdpNfxS:BJ[doIC:;J:<<;J:LH<J>=MxekuaMXit=`m<<J:^ZZvmUNfMIlG?Z:BJ;evMW@eeA;B:;B`UHbUy>;B:<b<B:;B^J:DI>bxFZ:>:KP:<Z:>>B:CA<BB^JjTm^Yl[ElI<J:>Zy>f?gtVXwyq_HwvrAwsx_@yrAAep^ftWapirs@nqimuoy?Nr<Vb[F`kVhIYqZayR@ms>ir@Z:>`G`j=__<g^VF^NFl:^vMXsHn^`nnqytihapasexoVVybNhXftOX[`iyAyhPVm]wqha]qObxFZ:>ftGkRGpBfoB`:ue]eIyoYgusimUu]hi_GLqWxIvNQyHYcaivvaxe?Gr?B:;HWqLdlLitquiRyEx=YOQpOH`yElY[ikqaSHHlHyNHtJ^LNmUJttJqQO[uu\\=yjavaIlpUxWYUlQPdUUGTWQPpfXL_uL:^ciBPcY?UwywYiiS[MxYqbPgFq[UKGyMiDcgcIoB^KF;;sasdC[eSkw^GY;ayZEssaYuIW>=xyuUrQbj[CqeWkSXHYEYSIAObE;Z]NjR_iyquUFacNvOYlG@yEnfQxupgfZP^L>jvO`FfyunaHQ`FVwnokAosGXasxb=wyKqvYw]cql`xaL>tkw[oaoAysZ^^Zvv;>mO?q>QrSFy<I_B@sby\\Y_kxGhpObKF[Xoa?>isa^KX^Y`uUWrRAqMysuny]WiVxvmnvBHx^okjyuWHxgAyG^jJxnUp]L_vv`_=yvFInspaAxyiosWIkW@sh>Z`?Zv`c>GjvOh\\NvVv]Uv]UV[nwr:ivMxpmQ^DoaAIqeGf<nuKyjpOheIdnYrsqfdiduFq_^vI>Zm>cxFcN?ihgmfAqMI]xGy^acwNrtY_PWx`ief@emIuawn_hcLQx^vww_gf>vpHgiOus`wQwuroxawjnV_kijQou[@emIruw_DWm^hv:GlHV]nI\\`Fs^o_x^vTI]TGyNxal@biIdRyhtp]D>ZmNZPyisadBhbB`t;yyeaf=@lsA^^Yl_atMyiwPamov]gbXFce_inAst@x<YcNVatAik?]moZpWux^pMXudYrtadNonxO[Ixk^OxGG^NHp:p[_Ya_?g?ih<gwFFnWyorPx:`vjOkYG_:>mcPxS>dyH^sgmivdDH_rPc;@bq_mooqlvuTIsa>nOAyNYmw_ulPu:im[GayFnpojIIiEFa>>^D@vnXlmNn\\^y\\VZqpasVeIPeYpy@ifJWct`p@OeRxayQd[GvMycyNlxPhsw^vgxEQynywwHbJqsiiypeycuyac`oXlqtaSHSSEBEvFgDxOycesbgg_KflEDeggbxsbdw_tuD]`XhtAydY_iJqo`waoXtU`idomq>tEHtn^xovgYGpXysMwj^Q^;>mcopaxuPgmIFpJ?g>@p@XePntEil<gmLygeY`vQxSNh>`eJx_EFm\\yyGyZLGkEh\\nQkapqqytYfyCgoWxjYNiXXcM>DEuUGRc[GEifeMHAItfWwwaI]wc>quHYgs=gCAiTgyNqSGaeqie=kuhkRhgb;OyfeYYgVLWG;;BM_tBcrlOY;EhVCGPyvbAYZuGNKtu?b:yFY_eLUUYOx]GWh_e:QyVcxqgtQmWYaYmytekCxaviMeTIwGQyN=IQufxoHniY@uWUefoYDX=XbOUFei^ay>QucGWwmBwEuDSfs;c]aS]mc;;BeYtqoRryg`kySueMEto=sCYeBkyXGwMwSx[TVMgPQx>WGweuuAurwiwubNkw;uWTIwggwmKBe=r:eWfGsnsg@CVIIslmuicwnYx?iFJYcKUu<GBsMB<oSsCeVSBZmBB;WZcHsoVDuyoKRVmibQf?kII;wgaiMMtmqHdGDdMwyqUmydiwwuqdveiDUISGWs_iZQwquyWYbTggRGVtsdTmIwItHuYVwhxmUF=SVgf;cvRovcAvvgBZMGKEEfEvN[d:igIMHtkv^ey=mWQSYUafjgea[uKesRAIo;RwqdIMUquy]yfyux[ge;uhwmBg]sGEbg]HWUYC;ycgexWXXEdWEFsuUS_VDesoQxxyRbos:awogI=CRKoy\\WchSIwMy^weTCfsOduKBU;FKyVwMXs]XkirQWSEQttmW__ye=cfwSqeuwauTyViQumuc`oX@cGYouVgXXafKYUtuyWoY;ceKmukoHZcvJkCoCSaigyKucGmotOuMrEHTYYnvhKRysv=xyatxyo><JbMNCDj<UKvHW>xydML`<Ml@wZylhPmqExDXOHumrdXfXWNyRLysIaYleu`xRuPSD<KEMvxxYX]vv@vFdyXpJUMtSMmyLY<uQpLYPYUDincykvtPRhNOiu\\eqgiRutouImSDjEYR?tlmyyRQmcynpMNaIJBpX>DprdyYhn^<lhXRMAO\\TV]xvx@Qumxdyjgqq?]jTXLkYkBI=qriIsauE>SDlkIroTPAxWYyRAY:cqtYnW@N^aJauX<<J\\Hm:UqHdS]iXHESQINTYso<q[ln[QYk=XHXtSdvvQqX\\s]PPW=VXdL:lVW@Y@<QjeVTdR^MkTqQAimHAstEnZEWb`Y\\lKoDx_Er:iNrdUZtv;<mgPxCqRAijtDQu@tsDnB`SPmQ?XPFpkHPP;lmc\\Q`tPWxnGIS`AkMiVM<Q:DZ:_bjn`tN_riZ]Fbf^iE@sby\\aAqeh[N_b<NlIovDiZmaj_vryYkVvnp@]wwluppRHamGsbN[g>Z:^ci^dfnysQwkXmiPmiafW`[C`uHi[vhvCIwaAwevgy_\\b@k>>^YH`movvyrqx\\unpgwqgGwqwowvwhAkDQjyYyQWyTywYQ]mvvv^\\U?Z:>mX_Zk@gt_w:YrYYqcYwEx\\>Ox_PduAm_wewwxMVyyqis>dKF[:oaIYaiaqt`ruQuiVyaY^yXi`wukhiKXhyaueVr=X_iwgBweWV\\mvZ?v\\:>Z`x\\K__xGyIQwAq[wPhfYnByqZAv>_^:FyVX`qaiHGmEptywtRVy=NaXA^NfcGH`mosINiYwvry\\LIfRNaAP]uIyaw^K?h;>ZZOiCvjR_jD?a<?_\\FZBy^WN^lnhHXyZ@h:>Z:>m_QfKVjaf[:>Z:>bxF:;B:KxC;Z:Fy>>:;BBy>;Bs<:;B^>:;bv>:;<<RnMN@eMTTYqYxExoT=XgpyNTy?iR;dwymwViJBaR:<Z`gZaocJxkXaxJxsKY`a_miyiKVh`_wEXpYnZp_okAb`FaC@ocwr=fk;As@^p=V];wlHAp[_ar?eYH_MnsEHf<iiaHfWHnChkbxu@awriu?NioIdUG[j`cRXc]V\\kvZI^yqwx?yn>hhLnfHv_YXvixmwFitawCGvfH\\O?y<aexQnppyC`_KG[nv]=Ny_O`K`xEI[iGjCVgpnjuidnNhxWcmxbxVrtaaS@xPpuBgmtVuyxfDI[aXljIp`yvLvvCNh`Y\\R_v:>:;vysyYmdh_HqSgY]Hh;B:;B:MTKWDKWgJ;eZ:::1:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlIT0nRiotJS5CT1VORFNfSEVJR0hURzYjJCIlcWlGKi0lKUNISUxEUkVORzYi(a)MFNWtKUb<ob<R=MDLCdNNZdK;HQ>T:xu?xMPBB`N\\@Nd\\QgmxXYJxpWeqQuyy;`nBMSVLMNhPbLWLQlfhVSUYRqtXQpo\\MIaPk]MuHSWHundST`xgmyiuraDwyTocUmqDYMptCXvrDWvLLIAUuUsppxl`NDmpfDtL`SLUlT\\uv`MrEXjt[AVwlQl\\v_Yxr`@jE^]Vr;kGjiiIywFCwQYEh?s^AtMuIwsSL_ddosEiCSKu<aTCQSJoecgYHATLafcsYGgSdaTDeS_CqLhU]UPKMSDPxa`ngmvllWFENBLSxen\\@KZ`vP`L=EM:EsgDQO=xVuWlunexP`=uqMNWEmnLOMdMvMVDTx^xncUobHTuYWJIUdXK=uondYUeVTAnvmoy@SIaYuxmeuLcevOhk`yjieQqES]Ap<Hl^dVoenfasNLsBatPiX_]S``sqUVsUOMqotIx`PwuISCDrZesGAqpATlYO?tqA=n^tLXhvJuVwmlmXYyHoKUVYlYT\\nTqJkQxDdMnqWNULOmTnQnIiYyajl@pDpYryK=eOJUohHtxHXyQxliLLPYpynnpWS]tRinCPq^@WNyTYuRd\\oOQOZmlKAomTnLHXFAjGeYaIwcmtHXVG@q:AL>DRJ\\Jo]SoLX`IUTMowEU]eMqpOM]svDODQp`aPuQptQYqMqtmOiDOOMnFXq@ATwinTLyuxYyAkxyxYexLqxKatJaRYiywiR\\pwwAShHqCeKSHOdhlQuujeun]xLMq^HlNPnfITdQRcMsveqfTTd`o[pVTMkfpYHAln=pMytSTsS@utDUsDRCMlcHlZuP:=L>dX^ePAaVNLJN`tDESQ`tuaUHAtRpnCMpUAsLeWMDSGLp<tTG\\RGeSNauJpRlTJWpJ?Pwt`PcHTHEoEpU?`S?<NHpvRexj`P?hj^ejePWdaodhVcMynHpP@OMMnyEY`pkxIvMQKqePqDwutWrPRNioQDsOiTp]TNMPMXmUHoSEr=alhdk^@XWpjTEOTLOlhUaPwMMNepXHTyVPtVAoVTUdDuZUpcHKq?[<@nH`yLVbK>bCqotgyxvoqXpGPb^OyNon`Odx?pNIgyNe^orLgsty[RP]wG]EFbDa]ZI]micTQicHoKg`k`d\\OtQHoJqdi`w]Pc;>qmwweFeHO^Cp^hAlcxUEu\\qf<=XskT@GEW]Wjof`Med?RUsEngScQvrIe_uC<QSD;vCiCcoXD_bZ_fQkYF?RJ[Bo=YseT@aV:mr:Qc;wd:kin;X]yHj]r@eCbSWNydqKsFqfpotmsrtGf@UeyAy]ciCIr?QT\\owWESLOWBmsbqvu]uLsXZQHo;CQIHl_d^ESeEBDQewmHmuFVaCEaE<?FBDRgYSmUyDaxGxjuPtfIKWIOeXWUIy@YWqeUaxMyqw<dWu\\o:IUFEvdDSsYoMmvUToOixc]T[@RTmw:tkGYq>PjpDuBtml=X`TQ[Lt:\\p`f`bFs_Vrsnjjwk=?dAWtqn]HIn?hZQAw`ysyxbOy`DIospnT`fwppy`ubH]MOh=pwvG]Kir@WiQg`lXntwlVVomxw>weYaofvgfXo_PoVYubovqqm_xgvOq:ppgiiYQcQwrt@aMOxhxa]@jTgl<Vfs`npIh`fteFm`?[:`k;>m^Vopa]UPpJ>op?jt^hC_fs>gdXi`BGeSI?dJ[B;=D>CRgySEqVpaflyevueLQyG[Fc=rJMWhOiCeSOwHn=vLYGegr\\MyieD][vSAw:[H][gSAVUmGeARa]vMOrVShdQS\\WeQIWqyuxkSmwyr=dbciEovbgrR;cS=baUWvKuVOfMMeTuIgWcXqFocr>gH]MgpSIOyC@MVjod`=IcmRlaDk]WQMRO[TBkW=[B;=DNqIOaTkeeLQC@OgW;ymoSLafncIl?ufWBQUh=[rnqckes[CBnquh[vNceK_x^Qh;yIcKYwgYwswNcviOw\\EgOKW_=h@QUgmHquTLqduGRGKbZ;[ZpcuYauPqLPmeP_N>kDW^spo@`vtQegGqXI[T`grNgGnrNwZpVZVa[ZX`<_ntHo_oihOpLYohWeDOk<qgxYnSAZNA^BNjZJt<TotTWATWxOsppT`vTdooiVmPJdEw=uRLeyuyRo`jt<YoTM:qtbxj@eSjUtytPqTT@AoC\\Tq]Yypq=pVM<vRXQaDOZpVtpXkEjTErKmkAdOkiPGQRodKblMAXoIDRJ\\ZZp[c`uI_a?geafu=w`Y?y_ftX>uSNiu`oSWsbxvMyyYfdiwiEpowQvYXvTypq>oGF_\\Xvywpbhbanh`PbUpoVgpT@g>yygAqQ?gXwcLxmhQoFatLy`YnqHwaHopwihPXfGxb=QhbYniyvJAl^gay>[<@^Ba\\EffDi`OabfxuRQyRf`evmmw]rOltpcvXeWwuwIpahtPXmOywh?tLY]gpaGwfGQ[GpfGqqIgjnf\\RqvVynpoopgwyaiAWcipk`a^?Phu``JWlu@pkQ\\np]kWmLIq;`aCprnAlf>xLoyDffevtmNsH`kIyqJyjJPy<PxShsQNpIvvsX^BFtgvrLxruAttXyVawroxgXsn^xsqtT>bnX_gWisx^Ky_EAghqdkG\\wQgOwdmfwQxlgwnyaeunmTNegq`cWwwih^PpcG_FOk_IiyGmJprnI`_`wv>cWofGq[xvqJgk`OjDq`dOaBNg=Gn[?]NIc>QrWpZ^H]dqycx_c^sOAboVivx]Da[LQiwGxYfwEqvh`ndioiXdwGt;v[D_`thuJYauhfVobginHPmgijbqtJXytAlf@rbqx>pqf`\\BAycw]tOoYpxcwrAysLovoy^cpoa?tpg^NPet^jTnZnwg]PrcWww]C_kFXyEp[Ww^cYyohw^`g]iq@>\\>FBsg^qbtMWHgrNQi]]sWUcw=U>eDy]Y@OXYKyVgGWucIaYGegimTwWXgoh:uW>=rtWwBQeo_etmY[yYuOxxoxMyiaOy]Wio=CEeFCey;YtfmhNcxL=wYgRdWe@MeEoVxIweqHdqCTSym[unWHCKbnkUmmeHyfgYHTQylgHLyUxoUcwsYOnqYuQPlfuYWhvRURbMVIMQuPyDlmN=L>DRJHoTYjiAtGyQvQro`qAYLYunhuXUYoBHy;MMmUt\\YysuM<<tBAjnDrlhkt=sMImHhj:uuvAQ>XqjiPXLtDIwSity@ni`wkPTBuSx\\SOuuUDVxmmwyPO]xGipSax]ppnmLppTL`xDYUNiwrIM\\=MTatTqkKUUiyom`MeTtsiUn`YdqTTqoA]x_HwmAobipS`PRuUw<yhQWTMym`XTut;aU;=K<bRChKACNIXGIUy=htuboghuuhdoCTuxy?yLgGgusaoyHgW;etUyu^_guudLusIyYAidYiX@CWUwy^gYjKyRgVgwISuUdMHeGg`shF[tFOIbuVr;Fe[X:SebEuq[dnYhHyBNYSUwd]mbp]CBUydqwX]tvcVOctScTDoINmS\\Ysa;wfys@UwiStKKsEox?KyIwCoOi<uurqXxcybMfP_xfYUO_XpqiVKe]uV[uX_;X;WcqSyuuu[SHbiXkOdPoYoOdPYudqHwkfxYWEsiTQGLytKQxQWYtkxg]tyMFU=EEAde[deyhy?CHYfs]y`QBgoeMae:aXC[GUkSviHliuqCXoaDOixo_xZWgVQEcytYqiFuYS]u<wW[mw^MWrWwHUhhGuJwgYGfmwIc[thyg;eic]uOOVTaIZqsJiXgQRYwURQhGSeHixwMDNirEKGaeyXcysmYYsrs[FZ_e[;C<OdBehuqhM_uNASwkEyYWA[gwUcLybIWTU=YDCFgkSacsJMC__xNQY<iWNIiGgHb;xb?GdmbycBJovVmx]EIrGx:yH`OUicdmuswOg<MUMsCcmbhsxZwfYugloUTUcuGTdiXqmY=]UJof;MsIoUHyfmwcA=gHwDukRcsRHOCAMIO_ttOR\\gYB@LcixYpUpURTTLEdvXhYNyyr`ruYxQIqoyOLYu`IxmPqHMv]UnxEQnpw_aUtitjLWWPp[=rkQp:LVFiYaYtpHYXTyKutEPsgdkXPyxmQguqaDjYqqLpUnIlsINIpRHHKS=vgDQy@k_UwYpk;@Yx@q;ajx]MxuxyTqAeUaApmeKwixmuoMmVgDRJXUG@y=yULlykTrEhKgar@HY\\ey[hPpDo=eRcxYLpP>pVGqqg`X]yXyIwtQSBDNgyvYInThwiHOBeNMMkxyNCesTyMoDl^tPL`tVAWHXmhQTm]SAdpUmnnLq]tulUtp`qkEkTPKaQq[dSQQywLPWXPYaOqHtvXOaQNgiWjiYc`xewgpXqaiuZyZh?tqVcM>iVwvqGtQvqg`l_ig=hhA?oKpuiVxUA^UpmtQv?OeT@xQNp<v[[^]:IaIwfJyouabIiipyde@wUxtM^hbXrLag[yxInhYwnNQuUWixGlDIu]yb<hyxyw=WuafjwxsDIwSyiynn:ou>vsiY^>FbJwfOgsXgZPqmmywfHc?`pWvg^>kPPZ^a[somkAhRA_\\Xm@qrLf_fyry`]uG\\GGxix\\^ovt>oqfkgH_`hcHaZuvuZ`oAokSo[IhoxIdXfasIw=ax_x]owntPvDO]twyKOyoysiqnavZcGgq_y=yhcGum`mu^lmFmbWwoOlXGuHwqxixLW`WxnVVyxQxEwu[x]FQ\\ixpQYqUFbEyvbInVwQMwksiEEeuyCJMc>iEa_uQoYtwwmMYtYTnigcWUcuRhpptPVyluQUSYmyZyxnLyeqT_uYUIPFLMFuK`ewahsGyXLUR<Ps`YMYqv[IrXuxJiXWmMXaoVulKQRb<vqiwdtPh\\JXtQ^HQ<akayoLIXdISGEJ:PLQW[Uop[WtKV[[OxhNplgyuiqFwaM`bqqj<vpIheahnUXqMQqXHrqyo^V`qWijnmBA\\>fhhFp[hmdYwBOwLpo?w\\GHl>^f]_wHggTWpaW`_xkVvcWqff^h=`uHypbpxgy`n@v^OkfwuXOv@o^JolcXf;p`qfpF^tFPad_i=Ij?yctyhXWyiwcwQ^HPtC>isn\\qNtSgf\\oqJW_VqhDIq\\Ys^fxWxcOY^fx\\FAlYpe\\Fyehiox[mpZKydyPiHpiBqtqg]HOhthiuqvkPjhy[toclgnmQ\\yxwYnyFGicnslne`QsE^x[Yf^fxMyty?cnisw_byNmdx]]AxdNcOoaq^xF>uYwtuFohotWpp?_ohHloQ`yGmxooVGoRieHPyOO[Ng[spmGGm=qw[Pa=>vfwrJxb?hj?alt_dSqkWWjPvlGwdToaKxjgvhWYbIYw\\AjAnZanvxhyDi_fpZGanovnvxdiAyif[nWjV_orxsi^gSqjDwtOpq_oxu>o;O]upyGvxT?xtatqNcc@x_IZnVewvxK`xZom@^vpFp@n\\viyCFbJ^ZsQoUak?NbBWdQistxk\\gbuOuHIdm^f=`p]V]UqqN_g[I_ig`_gxjx_rw^Wppygln?fDYnKXbINdQN]vW[tffO?ZDxiCNaEoq`qn<naKVeTnseIgo?\\f?bGAaIvjcY\\e@opIgyN\\xpbNwnxXyM^igpcKQuYW_QifVXnhInAihKFriv[avriv`TY[inmlWxJIqaqmKIrj>n[FbEnsiHnOqqMV^byZQvq=waBNu`pe;Nx@wZbhmwPn<IgF>l@FbJw^QVwufosH``h[Np_Cqn=pbt_n<ocKoeMXt`IdIxcwgsqvmXverqot>y:gwPyadY]dYjmXmgpaO`_SXlPabdgao@fJWfwHvpGw`x]FOkJ>tR`mwWnCyZYWtpFmnPuo`ss`eUfx:x;gCnmv\\Ox\\SwawiBQbtyRUKd`ACIerecgxIT=uRiWY=QRpmBrEXH?cuWRNAXo=e@_CiYSnwgOkcMeiPebNaNV]yoyphXsgDLQlxemMpIkbemDqRvtqpAYYIPaLmthkguY]LS:ewQEWbLJbXXDYKLQWYiUAeUiqUdUUPiycywdhMZqthAYg\\U`aW^LJPAjZHOM`Taarm]V<pnNptuQLTAVGuo^qo=Puvilc`ltQkqYkFxW[Los<JWHqEpXxxysPXtmxixpt=Q\\lQglQ?MSZXQ_MkOyNFiojuta\\pOITfURsLyKUPy]Tnikm\\wQqUHys]aqVPVousbMkuEqEIk@@NBLw>PV]TLBIP_ykG`MJpl@MphenkPy^eUaps_pMyExOttptPyUy=eJNqu\\@ucXrNiymxyEqKeuUtqqdyYOqWwEUumJeiXPav`pN\\etOan@qVDEveAochXXMwvmYQdneDKl\\wWYXfLv@Qxf\\Xx\\xadopHQbmqEisvdovxYvxoXpYnDTUTud=xMtXKyTXHo`xMG<Lv@P`ivTQqI<ukHvRDTqhrNANfAsZdSwESTUupUpOMyxAVqPXxUTt@YvaNfQLlyn]uLQIqrxxWPw>eVI`yWXu@tMQyPxhYUhPn@lTuQdtkTpnFMXuLN=Qpbmq]xmtlqmDVQUjA@KAAvUmP?QPQumj]JgTYbAPwYyApkgiQiXS:ixF`qX=XWPXaPT=iUMLRr<SXttjhRaylBXyHuLy]M=pVLyuwdU?UmH]SBXtSTKMmkJ\\J;emMmqJppUUoHlTuXYwPxexp;Pqyinw]kIaui\\YYeWj<TuhyO@XuTs[uwT`S?Xml`xqtStmp`uo_Xp?PsEHoCEYZUsPYKDHJT]v[En>@mTPowIPQesrYuXuSUis>TNbyjiqx_xUWqOSQtfDyFTw>YP=qvV\\yJhtCLwm\\TiYxGISC`upYxtXuqhusMlxmSw@ocTkgxW\\xxi<UepVilMaeWutOEQQHDTAlN@MQaqsM=qwUkpXvQYYWtpYqynYXlDnOuoQptnuv=o_Uqehowv@]f^vKWxNyncpfHPxqVye`pnolQqiTOepF`TWhRXuxYiE>wQhisXvthaEpalQqhNlIGm?feiwoyvx@owvWd=PsIxaX@jmY]`IhxOoc^giq_?g_UW\\hQprpagQr^Xoah`A@qnvyn@kpFqd@\\^?tpxm`GtL^aaG^BNj<Hd_H``Hqd_gTatBOp<>eSXlaGk[fwsy]MgwXh[^h`WatxQwpwo_PkYwyEX_gowQpi>geaaaZ`qwOmoxaPQmNGjtFoCGuIWnxYxtXk<yeW_^lVeLh`PW_YXh?vaUIuEp^GQikHx]n[jHf[pqBipba`VW`pfxdxn`iwH?pqifMfswivGfZ``[Qf_Qpmtyd\\xnvVkJAwxOf@f`oQhay`rIkIIdgY\\XWudii=gviVn@FcUqxrGeMFt>faYHeeFoPag]Ft>wqxQshOsfHmBghWWd=imEHwr`ntAqkFo;nwGOoAO]wGuJqoD>Zjgc;fl]oox@pL?lxnbYainPmx_wjoix?hk_b:gfmWgyi_gVmYvykpkx`a[VtdQn\\yyJfaSNwt@c;fv`FiXVhrgn>`u`frmWqrpsifduQqWvqJafgymOhw`vbSqteffUi_VOqYvyCGaHHkSpfm^kSyimW]Cyi]aa@PadncsNcU?g\\Pd@a]ZQuxXkcOwjo^J^Z;?l_`skWdcxrapqdIZcWm?XuNqwTWnPi`EiyVyhW>ppYfLX_DIoxwu@FxHQmSwlZfsdY`UPffNrcHadGg^vhMA_HWy^WtSP[`AfcGnIIZDymm_wHWe]GZYhfTYyNYv_>xHPpGgeSFsYWsI>_hVnuIju>_pfhdh\\XIl<i\\pp\\\\^wGgcmvjUxwxhxuOmbaulad;We=Y]^flv?o^Xmd`lCOkraeRo]cnko__vXgXxfDXu?IcEWx[ikNgiUwowinJyoxPmSngBF_?vsLopYfnhV[PVtIntPItVhfSHjU_[xOfpfi_y`c`x]fyrYeVo`aY]b?sIY_CoyLigxVionjGVvhXkE>^L_wqqkmgqSogx_q_>qHGg[>n^aq]^rsatKOyqYhtqhkqmY?ulhcGFmh^tk_fLYlY_^tQty_nKWbqp\\NX^>Fmyh\\^^l;^lVpkT_ciXnPpt?giKwty?xXf`N`\\Mwl<VgBvmUvsyYmSnwnVe?PmwyrdWttyhXanDgfTXr;Qe]Iu\\Ngrnxhpv`h`q>dDVhfQ]SaqXQwMhdyVleitao`_g`dWn_^n^?wN?tf_aZXqbogTOgtOrIoedQldiyqqeINlhYuFwsXxxtGuwwllPym>cUfbkhnEAoKXup>\\NAeEpqxQeaGnGWlYvntqwVqiEO]c?s]v^cwjrAkOPvJOxiQl\\^jdfhYIo\\ivdQqhFo<ayvvkUGjCFsawinv`=?aFflIGkeXyUAxAqfDwyqXpXfvtqZqow]>gsiauIoEOjDqbwYaJhnVwtQ?wUWawpoEVjRXubHgphhW_gwHytVxMfoQYsGywIigXhnRqo?xxY`cy>eYwghg`uYiqOtQqg>IhxW`YvtVyb]^yY_oNhw=na_WcKVtgQdHXfkxrk?]AQxBqgDgaqottnZSIdHhsc^ut^y[y_ZykwAy;y]xQlgyc^OhOqdMGyy_yif\\PacBWxjOtVGpFnZewqvqlCFgqnycI\\LXgdNZXguSn_=qb\\PrMN`oYdxofaGpyfv[imUHnyAvHg^sAwY_^@Nt`nq^@d]?mNxtbVhQyobfrko]L`uAGiSxa[pj=`mtqrQQtcyb]ipsotIntbyqy`vXyy:yZbPiFiwxVywfcSXwXghnAyIywMqiVgsMpyHPwFVZ]QsTNwp?pBYfyndxPlvnb;`s_qpDpuWOkx?cW_hQPpsqky`ntH^w`j_AfhykUydZGmuvxa>uPWaAYiBphRwvhWaqplPhkAIq@feQp_awm]p_iyepac=yoqxlUxKQI_qs`?uFIW[WGWYuHwRjeE]oeY=ylgcT@yrLLTmkJ\\J;EsdqnwqNWpQTXuYPTumx[`lf`WLPtmDSLYNGDOWQqKMyBHxNuY^iM=Dvnikn<qKPmU\\xcpPxtnNAoo`u^eXJQP`dOZ@uKimD\\nOML?QwFuvhHphHjdLWTDw=XmG]pliy`LlP`uZesHEkT\\lvXVDmQoxMKdYvqMALWw\\L:UsKmKbTN=ejn`LCMNsdOOEQBUn<mPU@UiMKcdTfeVoLscLskUwGySoITHev@`TwivLAmjQjwYui@OZpXahJduXvqyxMoYLkQlK>DRJUow@tTTTK=KJML<PUdxNbHWGlJBUKUmR>dPOeKt]X`<KNatnLSTQuNLndPV\\XSuAOGPMOANbDWO\\tfxOY@KLAuaEQ?MpHLunHVRAmOMYtdJIQmFpYA]xJPWDHudyqOLmyYQWQS_@T_`XnUP:DRJ\\tduOnDS@EN:EStYN^HT;@oTMWHeS_`LPuwFaJodYwpKdMLsDZXvfKIbG`kP`mGOynHpKq`OX]U`pPgnGgcdw]gO]\\F_uQgb_tdh\\kp[ZYqbGiaHd=hij>dMicmHpIVwli_?ajnFkA``Onl^fxV^f]VonVj[`^wP`VveB>y<XbJ^Zo_f_`h;Wf<>_sftJA\\]pvtPe?VgLGcdogpf]oFsnnnT`gZq^KpxSAkRnnnV]:pfrVg@>qSnsTH\\c_gN?ehHcsAufwrjf\\Pat>Ps@i[vNdSitf@tWOk<WidFclHl>^tPxH_x^uuXeCRuwD[CPQTOgwU_cjCGUYBQCxNOtLSy?sXQiVQODxwCBKcpYcFsI@=FBKbtKedWWUGgtwTxCsQygb[e^STdMYwstTkuj_tnuRGIDDcdnufdcTAsH=ISM_XjWdGwsVWfPAgfYv`SvkoytUuxmx=;g;IxxAWhwX=Oef?fW_fq?UNgx[qeTTP_PPBUV=MOR@W^eV`TQT=loDxGuyUTUqiJpyWy@Ntyk=yu]pOYDwaaXa`kQdN>DRJ\\J;ElnXvjeJGAyqxLcuxQuM_XmQLScdqEMMCQQIaPUTneDw=PoaPMKlR=TvF<TMyn@<n_@wZttNanA@SUhknesNTTRTosxuZMmwYsQIWgqOPuQG]UgUSAdp`UQfhtOYTMPRKHo@]soHpEdP_=pxpQ^dKRAmRQoN`TMLuT`Vi=QLhxKpK<pRBxkQes]yq?ex]ioIiooxMBLK]pn`\\TnpjZ<[Kax]yle?wUv[Inn_WmHopSqaSXkAAZKhwUP]lgpJAoVA^<f`]Wkdo`\\akl`lGf^?qerNiyPgcOsAPe?^uLYgOhftOePypQW`YHetPuOVlJ^tT^foniep[jd[?f^wDVcUbCwymcZ?CZ_fMqhUgicUumKsFYHkcGT;sR=cOUBMUg:gHcmWTSHX_FmgV;ohfGdfitv_ekOSPkw^EFGqGturqaGWGD\\aWjkHdqV_=FksVgGR:KWq[DBUV]CIWMid?HQMgl]ELGYfcsWMHGyg`_roqUhSgo=uRub\\_uEGcGYCtegPGtMgH>Fs[Pi:P]N`vLWnJP[Ya`raueicGptio\\xF]UnZDhhZXsGPZbHrNpqVgjufmUPmoqrSh[tW]:npGV]ugmtH[:gsJOidHcDPpXfiGGgbXpPYh`N]Ipep@saHx;HlXvaIFbW@bl`[Ag[Dog[IgHf^wPm<or@_q@xxPf_]YttVo]hh_qvea\\JWf]>]bXnDofjHpxFklNw]_twOgiOorPhWPcXhwDX[>FbJ^Z;?\\nW[NYymfaOxiiF\\OheNWy_Wc;Gl:?\\>FBCRgYT:cHBKbZ;[:NgJ^Z;kZ>bGNjZ>;;CDMB_gbC]dQyV^KSDKbZ;C<<T<dTxEy=@rn<XNANBL:CRgaT:cHB>><:jZ>BJJ>n@FbJ^:Lj:LWJZ<@:Z;CJZZb:KWJ[:CR::?N:eK<@NBFB;<B<?:B;lKNARe=L>DB?fpQRaMCSgHPQDRcC<?FB>npasf?_<>[<@><L:;<[JWjZ>[<D<?:@><jT\\J;=\\<DZ:[Jb:KJ::@N::<\\Z<<[J;Nj::FbJPon^\\;^Zoo[COl^IqHol__\\J^Z;?\\:KJio<\\P@TVfmU>dVH=k=<q;=\\<ZNqb:p\\^vfTFluqZrWjZ>;J==RETKhMNrUJrHRJ:j<tWjeuZ<K<PuB\\t^qNv\\U[<K:ptl<XMDrU<rGLjZ<O;<n@DRJ<JghPZiKhXM>DRJ<B=BnoXD;Y[]Uq;rU[B;=D:NcT>cE_ZNaoBhta^_ipt:x`:X=<;dMD<tLTKjdwE\\jJLP?@NB>D<JGEtDPytdXtPPPuXEaUo@oZqN<xP:XM>DR:jLpJJAQ>IPaqT@QWUiOfhJ;YMVuPBLj:J_>bm@bGOfSYwVXpdndMIfZg_BNsZQq;;\\t[DJGhw]eRWePSpkT`sPHMjpTWIN[eOBluZQq;=L><D[thGBG=RdkfUoRtWh`cFcEy\\WYJ;C<?:@M:pnMHm>ismQUWToFMKQeOK<x@<X=@NB<>;BTUehyX?eW_Cc<qePeYoCeX;cO]XD;UEKbq;ih=<AN:dogHX>aKoMMYDysUjGMQe\\o?DRS\\Uq<;BZghd;gCMB:UDOyTuaRfqVawbo?FrUbeqB;=D:NZZh^LXtnAaahr`Oljf[hxev>v`Njq:Z?n]MQkTX]^Wgv>vbGyc>`A@w;Auo?qdg_>x`rpgJ:n\\@F^fHke^wcVuuHwj?qd?jo`r;X]Zi[<@^:<CDk;iTEYtubwcw]sDv[DesBfghk[i[_g[;ClGbT_Sr=G:=TlKBTOEpaghsFQUcImCHaFiOIcMhemBdUFrUbeqZ@YxTnkT^Z_F^ZHq:Xcl?ZQxbewcxGyYP`tWt=gxQgtsyj]wd[QoWQbjW\\;Y]hhZ>fhHFZNA^bFe;fk]P`mhlapulYtiXmHFs`aqSwvuAhfQ[ZgoWFrU^eqb:KWJLnHXUSputEluuXnUOsIqfmJ^IXEyMChU@\\ooXTjUL;_ea>[<JbDo;do]xqfqTNmU`xPmxW]hlOulwTwbHUGTKftvgySShYcIntXS^LMlMwK@u_<rTuJ;xPrpWJ\\JJUZ:^ppiydq`aPL[HYIYIsFHMRI?iWkDVaRj<v@DR:dPB>buhZaQp\\PvLPayPplQ\\wHlWylPgdW_\\Hnrh^oipf^YvRP]]X]vN]u@[Qg_C?vGnO@Jd?;guTwTlGCRUGesGLYwSiyN;Uu?vs[SNGEpawTyeXKgw?R\\oSlEyGqEEgU:[g_CFrGBXAN:e;<w\\uXx<J:<L:`N\\@^TGyvpdN?wZhvOIqgHbZG\\=qm@aqkq]y__PoZRWw^@x@XgHFb:f@fryqnoGbPQoDQ`tgauxagpodVh>hag`pyOwt>jXNogf^UwlX^^@h`]WyIorDW^=QucYtaXaVGlXqiuiw:x`Y>h=^q;?\\:cZ\\pjyoOuRy=WTpTQmlLYWSIynAROEoquucMJBYP;hsPpsheto]RrQk\\@OaytS<nHloU\\:<K:pLAIqh@qKMWAlPW<p^tTmxSY`Yr<NUeYpQqOIShxRJdXOyJAAwIyYxYPWyYyiyrHv\\AjPaV;TQrpWJjZBriXcueO_wGOBX;gvAeXesh;fAKgxkTQgIRMXWeriOhoWecIrqycLceyoFHQTDkBv;rTMv:qGS;vGkgU>DN]qouengv_cv?uMAfexjEqoUaqjxjHo]_X[yiyAOwy`g;?oXGtVGfIwvtfe?VsQ>ZPQeKnuLHZ^AvtHB;L;<tttW[<OaqybijUlODPSRuLoPX\\TP=PLGLXWDLXAtw<K>D:;BgWTv?hyMxMweJuIXKt<[tyEw<KijoXmcviSUZobwCunKXSYwMQdoSeOuHGGChOEZigg;vGh[JWJdoWyq>hKk<Pdyp>=JTmo@]JpevidtZdsailcqPJaTQesYqTU<KRUWQxxGuRhxx@@lc\\JJU:tj<XpJxoq@K[QsBdvCiX[ITlpVEdLftmiQux=nl`KjpJbUWe<XMDb:LbJgql=Em`qnGyk@LU[DuGyOG`L\\HX;<VgXvVyWCAuDaLhXM><T=jgDjmtxUyN:Lm<\\Uo`y_Xxc`WgqLDyexngr>jUOtpYw`NjqZJ[TWw:Ie<>fh`gWPZaWcaIoeFuNWjoHi[XpfFemhlDnlIYx_FbrPg:pppa[i?hWEZoj\\ajn`Vs=UppNRHP:LX=@mPmWxHVEAPQ?uo_uxgqpH]b@rV>fG>T]BjUBvGR:cHBKC:[h^=Ybkh_WWPyWkaIt?i[UctcCf=IJ;E<cVhOuPAShOUR_YSoB;kt:cWC]Bi=Bq;CZoJZHJHaY_pP\\<UvtOl\\PSdk:LsPiWOYrXPVRUMZIJemVYIWDMm<lOG`jHAX;dWC]O>`S[f`B>j@>aEXeTXopht>v`Cibhomix][Qt;VcaQdcP[eWh=peYGbQ?up_ajgtLX]TQa=>psIbS^eqBb@Jbwfx>ppvdAhpsHjhPeSQqg_ly`tYNrn>eUq\\<ntV^u`fZ=`]Zg[:qtS>vGnO<o;=JnpSDtVT=ummoJ\\jvQq^AlvEnd<MPaojxvpLOZAJhLWxXjPxs?\\o;<utdMrHkZi;?Bd=D:LL;LUJ@MvhURApGPyilKcQj?DrVdpVIUmQVpHr:hP:TMZiKh:Ds@DWdXmp@sULmtYxjpN:lnlhxUAOyEsVuURUxMXtGUk\\XxempcpWT<VG<blqjl>rU^ZJ[W>\\JauIoglah=a_RWm]IZ\\OveQv?Yg=nlHIdWgp<hfm_eUYc;xraFyhyZjpts@jG>pP@]rWZrHZNA^bXd;NeAGjmvlUp\\lPxxHlh`gwqhDyelv^N^xsfdZ@rTGsTiwKqwAFuryjsHgUIgJQxsNr]_]f`_A^ooo]RWf<>po`[XAvtHZNA^B>jPqiYFu\\YgZAyFaunX[UnpeXdc^gpPdef]h?kvGZegmI>u:VgCtG]Bi=Bq;bT[ZeWbcogTamB?^^?rToqKNZoYqPpmsGuApjd>etVeootDnlGqhnQlPNxXHxSw`>>pPIwZgkC>rPQajuoUBbGR:dMdYSYIPWYpjxSbMKbxj`TTSqjWLKjhs`@R\\Ukfao?TQvuvQawZHREiyqiW:uMZeomMJU<Vghx;iS>tW:tP:PM><bBWgo?^mn\\CxoCVjmnZcois_jS>jw`fWq[Oic]OtVgpW^`jGufq\\YVqBNy@@_JwZRWZfHbgx[i?hWAZd?\\:f[Jpl:Fo[ws?HZh?e\\VwRhjBYgZPZew]u?rTxt`Hd@YZ?^ooocRWFpWG<qC@nGLJbJ:MUEDNDMKspOyExfdQvIQE=J\\MluuNVMmLhXuDoZEwftLblKNmlc=ppTsmtomQstIRv\\s?]XnAJeemM<u:TWqpvstKRUJbHR:>Zn@k\\?nL^ZeowootoW_UApMWjmvkv^y<qnLxgbhlAhpW`]fHsXvZONxri]TNpvo\\Zg[<@xVxwVAn@ni@PlcYkU`khNeyhjm@w\\qnWNwNY[R`yZOsJpvdHhZq\\@>m\\nuDNdRivK>fg?_ZgoMI[hP]XXxWXy\\FpE^^S?n@Fb@ylQ>jPqq^htGWm_i[JoqhPmrg\\IVg[P]K^oYIc?Vc`GyXvnUidMahXGep>gSa_Y?[nQkn`mWWpMghMAZe?jo>;gX`EBNAFr?WgiUt[XcmgTqSu;isib`cdoeVUcr[uS=kt@;CeYgsyMc<JPaRZmN?@sq<KRDJe=jo<o_usr=RT<RGL:CWC[ddqfg;mMlt\\xTS=pYuv;TkiinLeLPqwOYxQ`UcUSPyqGeJEmw_@pkys;USiiPW]p:uPGyJPamhMMC<VGHK:qJRUj<IJT]OPuRcIwS@ON<jT\\Z@js`QtTqgTurqP_yODtKS]rhyJwtMcLtx`yZ@tyuuLxWXquUqKWmYiPmNlwT\\JsyQ]IuveYfpT?`PrHW:dPBZZFghOm=NpFwdgqeOideyqjqe[^v>GonxosPgiWghPeB>\\MPb^HtVgpqhrjn\\KNa=ppWnNqBRUwVKbeoDwIEIqIQird]hYCVJ;J>Z=FwZVrZfw<qnqhwjp\\a>ZsFfGQg>?f>ha=XxE`[^oacyshHiUpjfvqq^xp@jormkuwacQAFgOe^kvdGfiuB:O=OujQitArRGT_crDSYlUGweeoWYn=UuwrKoSpqui=fmoXIOwfgCXmXI]u:MEP=bo;CIAYuQxTAU_ow^GSNoeKiCiIB:OE>ptpMSpuPGQKuMy=]kJiTmAjfDLFIk[ewWLOJmn_TwOHwLXYT]YhTjO<Uutppimr<VGmkn\\uNtUp=jo`vOLrYpxaaqQAneiPkPKwYwitRhyJKLJbHR:>dB?dKne]w\\fhu]XrThZ<gfUvUsYKiICGI>CGVMExCusiXiAghMeY[gsmbwcdnURr=gE?E\\eGVmYI;VGKwnwsseCLqWdwIl]FoyrH_fHEF:OE>fcyGdaVpNw`goiv?l_fjGWv=>fdXmpHvWveJV[E^hvQnrimoNkVnZ?^o;gmkIaIqtQwrh?eGvZNqegifDwsFirIxh:P]>r:Pu^QYu=JFpvdhq=EyEdqV@Os\\LvAS<aRNDsSUXgUW=hpuhXRUqu<PmDss]T;trJ]q`iMO<t:TWJuVvmsm`POEpeqVW`Pu\\o;=JoR=OD\\SeUoDk]h:kBceVU_Ha[GyEvWaDNAYZ;WYcBEww`OdGswdWtZWrjwbwsu_GREei;]S=ghqEWB?BPqsDsdUYiaCdBOBtCY]kCPqw@[oLpystW^XPTuXTynJ<RGLZeW^oo]qfcHfZLGllXxearPI\\Ta`ZakAhp;`wm_r;YuwQlHFdZgwfxZfHdRXdH@dh>jo>_SIZgP`pgllOtuWeynsFwbGObyIg:f`B>JEcLGH^KdaiIZyhhgBHIUv?tQsxw_w;SWx=vP[XfcremuOEbFYSqWBPAf^SYHYhnwH]uTNyg:SbnOgtYgHoTXOE^gfqUwCwx@;RGK:pYmyw`XkUmuOunKHvBuq?=URYpfUtuPYrYP^\\ssao]mWTyr@Xo`<SeUKumoyul@dOsXQnIPADQeEjjPM;\\M;TWJMpvtvo<Su`nqPwnlqYQURXtbevchptaRZYLZpJ;<tTASWXn_xnq\\orIRPHpr`WmhJaMVRUlwIJBEUWMpkuLO\\OXHwDUQJEU`HrTasJ<j^tjTlVDQjoHmd\\oSqpGlRn@PahJRUS<eTQuTqMwaaQUqv@]w\\pYiYsNXlKyldPwhTmYhpcptTYLwPX:\\tZ<JT\\lBEM]AYD`Uo@ks=YL]S>At_`v<hpWEN[eSvxQchJ?XvohWkQuW]Tr`W`dJpYQaxs;ltZpkD<WFuP\\uLFqQLaWYAO;UWIaxfpUrul:\\tZ<ZbhnLgunHimFkignSygxacWnt`Oqt>qOFbBGu`ieNxq:qmAoy<ImNopcwltfl<?rMPw`h_TH]JnZoXrTvwnimYwqEpZgFmSNZXfrLamohen^hSasPFjhxi<VisXZPAnH@xVxfUieEhlSocopywv`hwhnpxfa^ZpZv>qoxeX?ZT^lR>]kxnm>fg?r<ImKXxkQegQhPQrfwvm^gOvo[P[fhiNFZPa_qf_\\GybN]x`i`Hu:XZ:qZoxtYNvT^nOPudYnSfk?NhlVyKgdgib<WgIafwouUgskIvbhh:y_i^lVNpVa`q^bcooTq_dyaYy]T__qfcFVgFNtDgdRWm[I[Ig^UvhMGr\\H]Nnp=Xu;Xka?ojp`BGm@nhfX]:Fdawtgqn[VcghiIfd`i`RWM=rY_DTkV=?eGGrTGXW;BeewYeEgoYTUSYGxfUylAuAqHJSvWUHwSXluXjUGMMYpuEvWUL?S:cH:KENqwxEScusXmBcuDV?hPkVBuFA;Hk;SecunWUBSWkah>cXdaytiun;WCacJyv_[yX=XmQEfgwpGrTwtsgbWcX;AtciHugS:Uv;gCjoBBUWI=b`uiwgejkVyqurSRXGESiYkUr:[tZ;jpxYBuV_eV_dtsDWhMuFLKh`Ji<jK@L=iPcHYjEwv@VGQXMaJuqxSTrMHqcuvq\\wPaUodQg`L<LrraQgtPGiOy=U]EVIiuN=qFYMHdn:plcpSG@UxTJ[@T:MugtY@Ypvlo>qscxphuwnIrT=sMuqYhptLWTXVPXto@jdPWDeMHPm^PRT]olQL_xv:lt:LWJ<JGLWsPRrLUwyvIAnETUpUoMuNralgmuGEyElV>puAhJeUtwIRJ`nJurb=rT=omIXWTlV<qiUJPqjgTmK@llitVaPiaq@=weAvhHRqPvStslIqVTQepurhqMyjJEYwIQE\\rNAxaHtAMm^myRDlr@pbmVpuQdxov@o<MMXyP:dPB<ZdGjNw`gowFp\\;Qe^p\\:OpVNi^QZC_ls?_:Vkj>juXfQniJAafGwngtwV]p`gtxi`NviGfVWnc>rWWgyNgIqgTO^YHxfvoEGp\\gxXpvuFpoh`J>hoik`HrUwpfaioYdwgv?VohQ]>>d=lUEx:qSp@xaxLBDY=XkOawx`WEqMDymydm<ijHEke]UjdmDuPgIn<dVTMnIUR;llIeurHRExnMIyGTYb=x\\IwX<vaqtSixu=WBQlcIRRhboha`^okHy<ifMYZqX\\=Ynf>ciF[[gs:Pg:Q]NQm:prnG_porfxgPYa]?]Oxtw_f<Qm>_f@xaOqtXhu@NdOgxAQ_:ihEq_ZPuDQdw^_dVdtogxnuw>Zo>[:pZo`bPXmPNxxF`Wgpcah;ajmpl;Fn;FghXirNnuarZagJp[a_[LqskApPnxuW\\lwmH?eEPoMYgpAtjivMiiDnryQm;nths]aGSwekaGyWCkWtpqyKasiSBaqeSSFG;XggISaHeSYJOBceF`=INcYaGBNA^JOr^iuLGdlI:GRTSXLAeF=VmIwBsTrui@_bs?YZOs@SWxCWWmWT]RRUWkEhA]EgCV^OBr=C?OBJQDsacaEYPgrx[h;Ce^Uw>qtbwY`xm`pP\\<c>Podpsc@lPWdsouTw^AvyZAj:NgWP]LammAjpptu?jq_vjynkQpIxZLP\\ph]QppZGvnfavIag^aHiZ:H^IVg[i]tFmEydDf[JGh;@gVhvvNdqWvZqooo]BWgg>b]O_Ghi:_rGnmh_tAWwWHeBgvoxfBqur?jFAxaVdpoxZOoh`aAIahOuFOiqQZvXi:NgJ?uiFp^Awa@ZYo]BAdyHqMIw\\qpwNwnN[^?cg>o=of_>tNOpcwoCvfT^ogin;`afH[Tv]rVqRAayHhif[T_aG?yenijPpVHrTA\\ppumAq_wkt_h;yuOPr_XtbakTwcgOeb^gufo^h]ha[SPs;ijxOgGq]M>tFfu;vhgFw[fooPn^^_YQlRYyN?lxwjSw]G_aT@ZYnx^ViTndHglagcAis<faVya:f`BiyTHfO`awNaHPhxGr?Gw:vgkyaFYa\\Xo`ptGWmMNnxgdJW_JOf[wscOi]OjcGvqh^li]mY`LIh>`jEGdXwfQyw_H^EonsqnoQwIhorguXg\\La_RWuU>ZeOpAaaq_wpXxFvfmhu;vHMWBUWG;R]MyrkXLQiICIrShoYd@]vRcY:QBr_efIVNeTsId]]D<cGi_xXSBkqS;;g;Ec:SI:YUaabosF^GiWeHs[D>edgeuEEymqfo_CT_BuIVhMuAqSQesaAINuHgEtnsURWVhMuSiCueHQeSJwdNKvrOb^abo?ieSTEaIoGWtch`uGG_UhkXFCYZUbuodv;bPQEIAVPwwsAUKoul?U`ObnItNMUyMtPQeMAgymtuWwBMGiGI?IbVgBjEiSyhu;FH?ikyIKac:;f@chDyGo[bFUIQ[gsSiD?wqsXToCeUt<CV?]xRktVehwGfWlr\\PlGYYc@V;aPeDpCTWMeXRUmdQsIMl>yR[dJ:elWlt^MQupYYdKSMPOyLx]w]PN>tq:`KRUVthUZqoWpTPiKI\\KKPTb@Tb@W]HTEynS@PH<UeAYJptT@j@aXhlXVaJilukTvuDpopn^uwAdSSmtWuJnPsDYtNXlmUqGLv>Xu:OgJ_mi@gY@`cx]RHroWwrAp`HqcOfRPtZggifxYXagNvGfbtW_JW[PQjWFak?]Jxjgf[PqxCFfGAo>VhxWvxN]n@s;VexngSAl?Ydo?eUPwENlXveBV`gGxthiD^lCH^IWehHbSiwEqn@XiKpZNhg^hgrXgGaZZWgyAlPQmghxSouaWfAAaAacUyb;orRO_gX_\\ArGquR?jr>l]Wgt_fIvnDPsIft__[LQodncmG^MW_YaxXXbjqe:>o;Gk>hpbveb@`hXeawjqp[UQ\\n^[j@hoipn@pavZdn^fhcOGfg?rvIoXHyUogTqad>ejftqAiV@pP@kZPk@VguAqQF\\?itDg`B^qhwd:hwnQuwo^fHP=ylsYAsS^WTemxKAsJ;raaIfkuWUBjghI=SeeW:UnK]wbDxhEmPuJGAWGas;HmfeuCequhu;evOywU@NPYNu]JWaovdnguWULPDuJs\\P\\<JbHR[yqNHxfutLxj>LR`hMAlt>pWTXRFiSu@ntPWMUn=PkkLu:PJcenUmxsQrT=MJAP^\\XPAUEusGmjUpvwLx;=wieR>pyYaOqdORmSRUW[yoe@qBel;Tm>=KApXp<RelkWDPUDJRiMhEsxYJExKsMQtDp_USumVYIRqLOYypTDL^qkZPoUxMDXMK\\xTLKqdKZpJsIJM]TRUkaUmr=vgXPtpWgqtSUxeQX<AMo=R;`pETupIqZesVlOdUwxduGUk]iN\\xS?qWTxxRpm=tLHET[eWJPPoiu`LJRlKS]Q?eXPqjhlmLLOw=uvhNI<UEPKbpmuiNyQwluNQawM=vFQXhak^XnOhVjutLxMJqs>qKMEVtaJElwoYq:xJpPjFYQc`ppAMCPyAUwWhP@PsepSJuofITdMuUdlaDq@QJveQnlo]UUnLNbaYZpjEiupyKIpt>tnHQMldWI=p`PqcUpaPlwXPQEJj<sgTy<LS[`UoDu?DUkatKQPPYSKTqoAQuHVyPKc]SFLtxLTxTuZeONYRBmkm`o^ALRTWcatTu[IAaiXtbivMgsuInmNZUio<`pp@Znx[]wjnYe<qwBHuuab]a]mvdRYtDwlQhaTpoOomjx[afruFhVoy@AhK?g>?lnqhJHiy?rKWgeQnQieopt@hpr?vgF]:isrG`VQcZWpZfsuibiaiaUhOUSOhfsegSC[asG;eycRAgHuWCPMhsuIO[GRODcIy:qWGkv`geYahYqHoYbPCG^[tr?VG_ieigOsgYyS?WS`_r?[S=ydHEfIsthyt`ydGEDNWiVKBhaFqAYhQTnmVUStCAbgCE;csByyN]w:ouJ=R=sf<axC]TVuYB?YqpXJlXJQNAuJqpR]HJ`XWOhRVAmW`uJHTWyRKetGxxgikB\\xYdOcIYqXNfIuC]JJUq?MUoPo\\hs[eOBluLHsoUWI<rPLugIP==nM]XRUmLLKb\\NI=UUyoHUNo=XeIJymJ^hR?HpZPQbMNRUKw]k;dUQ@Q[eSouQN<Vm<Vgloe]fyy^QawaHdEynRX[=pkAHZUGtThiCW[fGsF>gFwn\\WygX]:o\\:?mcqoS?rP?toOZOptVFtQXxWHuLfxHq]AgvOpdB_tXN]O^`\\>tmqsBYqWv_K?jT^\\pYkUv_Zfp@geo`b=Xel>rUWeAXb?YvsOu;`si?vog[PqxMoyVI_[@vA`iZgo:Ivfhjg@xYv[FHiWXtSikP?uMI_=ntRpjCNwgHqVapJhfkOiWqiM>tr?f]?ppNrAntHG_eyb@hjs@rh>d<@jgOktQrHo\\ZWcp?buwapxsFVhlA\\P?mkfjDXwH>mhQmOwhFWhw`[nwpo>`JolqIsXvggYrOwwFWjo`mXVnbPwtIcegmHngSFi=Yanykb?[Zpt`@dM@[RWqOqoTO^ZiowxajNuTieey`eO[W_ukxktisH@[Uokogf\\>fE@utPp>I[fGd@Ncaa`bGv^gtSW]f`c]Fr]HxlWxRW`nGx^ghWGp<^g=q\\Io\\^IwwXZcNnE?a<GjoXdt?_n_bB?^MPj:o`HaaF`[@q_YPv<^yHPZgGsXAc:Hw^_gIHuYImG^nBQwlWjq?ufpqMawcgx=hdQhxO?^gQc_YiTWb<`mkq`rYhH>rha[sof`ik^PyevnbVvpH\\rG[=^ttvpry_dWg=?sditQYuw^o?FrUwbkguTW]RattHgmpn>BgAbP[cFksR[f?UXm]weAEVGHBUD<ST>;rssicAbDCWF]CLqscseW?h`iBFuVqkEZGFEoFAOuYSbnOvGsBfAhPkrcOXnkRrcihABGsUtCumUeKSSo_yIEghQu^UX]AShMekQDQmhScrpGCKQHNATKQewQgUovNAUhEUuuXSqW_;fWiXQiUgoCbeRkgUdKeGoSYGr;QDsABUsX]KxwufcsY?cu`CTcex[SH^IuiSyhKiVEY>eSMYIaqGdsgrusWAY:WgUqVFWBTiGiqCoYXwidI[gt;XJ;RgWH=MEyADbeSBOWiGFJqd<WUuubqot:kHa[fcmgTqYUWgPcX:SXi=umyW;Cw@sFs[xx]f:WVlQbo?YACYQ_IZecGUCQsSH?XMKT>uXgMh<sVA[hsUDRaVDCU\\cGxkBy_V]udIEHuIVeuS:qtX;BgAsKWFnkYvAyPEyKmYvkxhWwuSFkegqCYZUVeYCmsfKEXgqIlwXdUwh=SZ]vKyGuMFWMgNQEW;ueyeCqtpoR]KbXWvbOwTEdtwshEY]GgpQwCUDBStiUi=CVI=bT;FG]BMegwirbAWh`R:YugpQYqtp=u>=p`yxLulfem\\MPaeWlpMxGaHX[ZhcDnvIonLh_A^tc`\\K^_Hygx>b=p\\Foh;y]IVgXWmUpgTfbbXx@IrT_u:G];^kfvhgAjIq`l?bxnk=^hr^ivOiiv`GYwRwrcFgIH_UauD?fuht=gakAjP@wai_MYikxpowxEAh<apDpy]X`hqnMhxu@aBV\\vA]ln_rvvjHcVai;C?OSeoCJmYpaFocv_Os=oFRgxHie:evqscRAvFMXoKFJGGesWfOBcuFfUbkWR:cHbgBHGTvGYm_iPugxOdn=hP[THgw?iXeEGjGy?_IG;UeyIuMCsiXjSse_WuOxjueMKBHaYTmTP_WO=vfmu^UEfgCVwIsKbEYvhYYGqwfgSLEVg=s<ISxsr]yw^IS[oSJwu@yYEWteyCJAx_Sd]qiIkIJ=bg]vl?YpwdwWuO;S\\_hKqeWSvVkCUUW=UUu=Efcio;BGwYXaECgwjorTaFq=sK=C[mCa_s:GGxGx:CX]yXlcCBqeFuDdsCBKyAUFuUSKmsKUsciHHOgDycc?dPUXoAiPoSYqFwwCVaH:<soijpQjE`R@hOsaqLhMPQv;<v>uyTpS^<psURT`]WYvb_]ZajnfsOWaZOqdOdV@v=A^gYfOnt`fj<hrmYmINtZhZM`usqjBFhXhun?l@`?CyusU;sUWOr?Ydbas@WbdatTqRHCBrMXZueoMFG_UtCSGEEPktHMGcqRgSC;ki<=VMgIq?xuktuSUsoEUMH<KEyaIslpWeOYIKcYXrXY?MX;pxbakuEw^euu\\UytVp=KMuwIqomDorpVqHw\\HmWdutlRG<Oe`ui\\XGapNlx@YJv=wnTQi]MOuUwlngxlCqJy=L:eKJpLJuRGtq`mWw\\qopPrhR@lp:HP[TyIQTxeTiAQ:eyauRnUWFHjQiWjpLVuuf`VeIRd<mqDs?dOFLtxlul=TBTWL]Mw]oktPGejlhjMPnyusvPQrhvZaSFTWXmWTIRTlq^MTBtREyy>AMjhYZxj<uwRmPCqlCUSxmlOdos<R]MJ;<txeWIHOUAMhMmMUvM\\tT]pw<rSUW<Lu;@uPUUbUthajs<NSmvWqSuUSHETQXMhPkyQy]=VZmxnexmEW_qUlujndVdiuwMPOxur<Ob]RZevWeYoAopiM[qrqaSiYQTtwY<jT\\N<dZOwbGAuIYZI^efadhPeRFaYnu@Ybwhp[ikyGkC@nGgHWYaSy<]bNKBPaFW[xDqhY[fvIIM?SNkWFyeuCS?gh;SXaCYuwH[;fByCPQRQiBESBeEVZyGhuVgKINMYcattWbtWe`uXQAu`swigIbWrT=iK[C<UBd]FdYxi=vZ=BUYYVeUp?HZqdF?b@yyZWuYSu<itk[hdycG=sRwRAMwqGdSuEG=ElaXn_v^QIbgXpoxnmh<cERgI=OSdsxJERHaXeeiHKU\\oR>ksPoesCYqETOitqaxjuFSGFI]CQcBJUbTID^kX@ADbUS;igg;vGIy\\UutgXegBcEdgMH;YGQmC@gC@CW_WuHKc[eSIUVsGW[Ib?IUSyeISYtqcD?V<Qu>eEPAunAdtcCwkHa=cHWVEsDI]t[eW\\ovr[RgeM\\\\MSDshAT:hk;QmWiU]EVIYjnLkuaMhHt;XNG`wHxTEmOqdWl]JrUVJqPSqLvdv;iWXaqsewdYQV@K:UXtdwuUVU`MH@m]hN`xlMlRPxVtLQmmLW`oWIS\\PQcmR=Uj<aou=orPyWUmElPrTUeQs]gluHsPwqMAhMax]GwWYflflYwa:osK>[Ra`qvg\\H[_Owln_^ImXygVnuA>Zo>owN[jplR?iE_^rhkSV`@P`NxyFflKgaA>\\\\QqNgyagc\\X[un[LwySqgJP_UIfrHgNfukVtaP^BWhQy_MoioysY@ouPgMfiR>bH`fVG]Jpv?vixxv\\xncnuj?c?H`kXp@AfgA\\WqgfxvliawpyJf[YO`KPZu?no_]EIOIFTCinMfiWHpubhqhwww:Whb\\^p_keWeuW[YWgqPdZihINo]xtopbux_a_swXuFWicQt_VedpqwWyp?c:WfaIf:Nuh@u@W\\lpnax_lxuqps@?Z\\v^FxeHykKI_bXl`ng>?n_H]VhaMpsQoqeOangZsV`c`o\\wp:i`]v`bN_Mqwsotwveogvjpw^Hhuire>ZZpj\\>cFyosptjgtXneC@`bO^[i_KooUhxLYphXcxfnUXkDantwsQH_IVgKPqEA`WgpCPqep`KYw@N[OymSpZewjb?l=ntHY[PHy<PbVqoS?_M@s`nZcwnw>fg^`VqZXVkrAb@G_:qhLwhQQvxof>Pug`]gxaMfbGxfegdbVnTvwnfuuaxjvvioexHv<vpPqjq@i;fss_mwPynanqWfeieoosfAx^aoMpnsFfMN`Q>tKPqg^vXvkMyqxQm>ieLPrfHeN_eoqpTpiboxwPwlXhOxwRwuwV^_XnxImgH\\;vtqOeI`qC_dkgdeqp]vvpHctWv;V^wH`Ixfs>bGNh;OdRp[iWemXpTW^iylYAwAXkLqrhXeJYs>hqrN`tghQwveyoWa`aIi_YsSnvmQy<VhTaaZg_yox>SMqCcYxlwi=cV=gh=MwNaXMadIiBmew:SDNuiFGrTwDRgRfWbi@rjmt@pOV@OFUvOxWkqr=]Tr@W\\=NU@Q[eslUt\\lMi]JRPP<Um]plH]nM@NTpKG<J:<L:`N\\@^QIghHnPnyV@_nyq\\Iid>u=qmAFgVQ`k?wShneqdMHgUod;gpKHrJxZqv_bNcNp\\ineFW]p^gBXgYfaOXvnQwpnr:>ocI]E?gigy@N^AXc`Fk@HhLfkf>nin]WigXfmfHpdyoK`_Dykn?cUhbaW_Yq`uAem>ji@^qo^OpuVib<qb>faaXdsipwpfxhalqnJisexZV>jaAhZAe]NjvYakYfW>n@Fy;>ugpy<`avPqNnoTi_@xpP`jFWymGvKWbQ>oHamq@^gn]agk=XpbpsKpeSyiJvZeo`bWkRGgYQoUpbd^nw_v=VgK?rI_ZWFdWh`Kpcc>jqN`d>vSpwTabWntHFtbifMfiC>pBGcmnb?NqbYnX>]Z?lOWm[IcTh\\QxgLogYpwNvfmvdY?i]GaWAqvWjt?[ZpscFdtHgMnncXtwxjqQuH`wtPlpxfB`aSOaIxjn@nFfroOt^vbs@ut`uZNvtxvjwtYW`UWkDqxvnjc>lpId_qclxtoWpT^]BpbT>vUF\\jxswVx`HtGXouicjVscY`CPohf]nHqgojupZ;?Zov[RWgi>rrQxeWZbIlOg^:hpU?[iO^QiguqywNoUpv_QosIr=oa_OdxaoS`dqgx`fxVV`@P`_act@^OibpgbB_v`hbsgeeyrb?bTxl=x^HydPvq:gx>VbQncJIfgOb>>eMXZLIch>emggdfbrviAqhKG\\AHZUIkoPuk>u;h_Tqssiy`gt`Oooy]S^m?yjVOpixgAQrXhu=?bLWc^aZnplZYnRIvnPwWHohOeWQaUwrmPnha``^hW?cAOgqNaVAq:ptX`]jhuXhaQgeN_eshuf_dZIuKCuSIygdbwXiGwNmUxwbtevceVmUvdqUh[rCicSKsIKrh_sawCR?baqI>;Teuw:As:cw_wtE;wK=rTiG?sHx[vCaHaMsnEFvgr_AFksvGmsneWuEH_osQ;hR[ek;SEOvFEuY=bl=xbMBKcudkie;DGktHSejov?;b?YEIST[QfCCFHwI>uHSCFHwxNQy=aHlEs>CrpMdi;Gj?haGv`GEeqReyeG;VUSr;Se[qfscdWUecIYfedQwWLmSYowNQtDeDxigHUbWyhrmxiKBn?Y_YwtGwjSVe_yiAXIaRWIWRiurksoSTZEWnmtvMISei?iBkUrmghPQhaMO]PrVHqphyuTwXhLnum?enqlup]XJUWgyQitWtdUuPqAuJlLPeIp_axSPSOuLqYXJpngUmk<V\\lMx@LILWLLS\\Lw=@pGxJMuWHEW\\xrPMJPQuE`mJmrVhPa\\qs@rG=xGUsFYwHeX_yPOIoMeyThoQLqMLu^tT]HJS]qI@KODyAdsY@RaypVln;Yx?qORxvrpmUxKMAl?TL>XynMrT]V:\\Kbykg=y\\IKnIv@Xr`aq_Qk>IxRUPxxTL]XfEP:hS>tVslQZmtLDU[usjMqc`niqWEuwYyKV=ujxVN<RETMpaKoUVBloW`Rpqwn<uvajhXSbASGQYWiJmXqgmPJXvZlW>pKbuMPmWohh?ahLafu^vE_fIfgTG^IWgWipeXqsH`ufweasKN[nwlGAjn^aeYau>g:IdE?kUitPWysGyOIrnAsdYhb>yU?^aXmPn\\XabhXuHXZTO]i>amQ\\Ifg`Ih_@gO@sEnvH?nLhgAhtc?]agsswtXxut?e?```nZcwvv?fg^pEX^:hp[OZRW_Xav[qn?^wuaPIe;kV@ax=mWS]FR[FkSxD]e?;Yleu[MEo_X<Ci=idLcvPpoGaxsXPcPxViSGiUUTP`htZdoOlmnDlwaP=<tRUR;tQZXS^=uMUUhhMeaxFYybuWgQMItxFxMO=rxURrDjg]XPQNtDUoHsFDoH`sX=RaPOqTU]EjdTmOlvHyn\\Qkg>nmxtYWlb@nAa_dfqxXl>hkBNxhqnlYou`gHHmKykXocYIoNgh[wm?NkDQxFIZM@_POhJPtEn^[IvEFZNQaT^\\x`xTAft_c;h`rTuYbnCTweHU;icqcNawCQVrUcDkWFeui_rbwwfGe>eS^oSeqGYafhoEs]UDegGctr?FTYSMmfmWeI?tJgBqETJAtPUrPku_ORSSeDcef?dWGxtie>GvhgcjIboSGfIELgUniWS[X_utoeC?sEf[XCQRR_S@=Gm[cTuHfIE_UYSoWbsrLYrf]fZCyt;Wq[idcyAIw`gB`Wh;;e=ISmQgumvdWS@YBUodIiESQUY]WaOGqCiVkHUWU`oSfoRBkUG?CtavWYVgyUpWBVsiiUVxWUxaToYXwyrA[TBUrmkE<;go=Tk?DbyFQEBPQu]_yTsDRcXq_RJmv>wH=iXE]ftqHoeDJwCKIbWSic=tvWiBwgioHrmyWMieoXQpoT`L<<Jo<UuLv;TWNLpylPSYr?LtnLVkiUnMSIdjlHYUMPAIqqAoiQMtaSd@OPDqFiK:UPZhOaxSqajWusPxjwTnuhWMqNFup;Lm;DWgHv`hj`<WSIMlypILpxD^_ah^Pigvv<HlE>uRpbc>lpqi_qbQ^akhxdXmpWhmFqUF^Bomwwnoisuxlh`ewWmhWwww_OxeswrXyoTpqGocyHwNgd`hiQI]^htP`wmVeAPbJ>bgX^uPgi`[]xbY>_Pq][>joph[qn?GlBIamoj=gqVw`qoasp`RGwd`ihh_yHoHWrvXvFvnbXgMX]RogUha=PgindJwtXIqXx_UQmeh\\nfbCwbGnwoshchxksTIDmMUBYRU=RBotBUXtUvKKetsRSyWw?yr_toMcdWSd;GeqHe_GdwgN=tnGiXYusErYet_QCDqvZsFdYgNICfMFbUc\\aioofUoFLgBbUYvSsbCtDKwV;YtuhuIWiesUogHSWsmDQcCjoWp_r^uxxmxLeXgIsDixXSvxMSpqwk[iTCDnaeEefQqhSgxIQy_is\\WsQuXTex`AytAWvUgHlWSEyMaLBUuemP<=sR<Q?tso=KZptKIVgirQujKYVD\\ow@nFEJeeoADW[hmX@JQeSlIjnlU@Ur<hMAlXuptCHvgupeuMT\\oO]j<hpTYoT<ksEkgXVcMqsankQTiqjhpmiuuvdJ^PWDQON=SfqNDuLjQp`Uu?HL=`P@tV@aqRiUEpvddjsLSi<w\\ylsEqfupTySKQyHUt<qmh=RETTpLvm<SR=uM@SVQum<VBAOxAMAqViTTaxNdttKAwVhnp<KM`J]]YTmKU`V=hPKUN<pYsUXbQtOiwVuxW\\qMqRV=yMuqAUxaXTGEsXlWRAOrLWJ<RgDXI\\PcqtvEnF<U]=lpIsOyVbyKihL\\QVnpjMptMuMw=vtiSgmQH=UMtKMdNuArTmo<TWOLqUmN@PP]eyfIsm\\WcmXdIW<UrT=Kk<SeHL:QUG]Q:tl:xxJTJilu_nZPakgQvsn\\GicEix;A\\snk<nl>p_U?eophRYlG`^JnZJaot_g\\YxHxiVpjj?tFYZRXhBA_ohpaotwah^PwgV\\XqwFqqIgeu_qlgOEscaWCKW:SU[ux?aTvUV]GCmMd=[CEKYGYfLQxg_dYwfoeukEwdqHmwInouwmVMEy_kg]]Uh[ySWdySTuwGEmXUaEq[XjUC;[tTEBRoW__CBUbeott;dPQDBAHZeGmwdpQdiWiPEfIYs;GYsErTsCc]IvGESesl=bUsCimSc?FQKDn_iZeGhyXfoY:iuN;cdGT:KgU?BvOUeYeOeffyGugrhQeqOGO;hEIwMWE\\?DnChn_WUSBTQXU=DxaWcIWFutW[HggDaMf<myCwYhcSiqhDoxPuiHmSqacqMrrqR<SvmwwQuvHgTxgV=cgKIiEIw^erTMvAWfluXWIvf]R:mFRKEJeHZsWXcUrOiOQEFkemUt>euk=EUiTQ_wLqv_UgxgUtAvcAYPWR:ch^Ub>ySxMvNcy[idK;booT<_HpIunet\\aY[CUJottOD;Eei[i?YHbGY<[r=IeY[gscDOiSmMs:[HU[g?IB[ig[kBf]wJKGrsbgsT?kIuIbO]hJkvvABGGIbMVQ_sg?hcAehWGcUY@=E`QGVifjwhx_hjIsxwcu_DBUYiOxIaUWiHXIb]SYbStKiXAEVIgrN]YwUBkiE]QcTCDNgUWQVsgWtahques[TxEXughIkC@QX@[uEeT_swdiEUQU[?Tn[F:?BdESDSWFKtRoIwOwn;Vggd^UboCGVWS:Qdk;I]=dP[vfCc^KXOaJp@nAUQ=PPa=MNIKiUQIlwH\\QYluOUSBXq@iqIemjplbytOep=\\sRaYOpMDdxmut<XrXHkQmOqxqDducUpPhRyLJy@paHJbUYHtNxhlk`LtyRG`r;dUjeynXWDMmwhTiPKA`kT`lwPtPpxBevUlpx@tfYynPMY<yqLNj]tyUt;QWZmmPilAEwOiSpQyemp[Dnf<rmlk[tX:aOeemfuWV=lx\\JhMM><TEMWwqwoYucIxO@jo@Y_IMlatYLqSdQmeXRUsG]uUTq?DNJqlBhjp`WZqPCiwthqg<jqTJLQU\\tL^Isp=U]MLspVgdXMamliXQQv^PpjEVIExpLlI\\pS<r`lJWTmy\\LDMN:UqomUH]Q?lW;mdSy[RXcIndxpn=H]KajVhd@y_TooF`_ZP]WiyxOasWxgvm@_ZP?wL`]]OiH^sU_c_vdqNd;ww?_uramP>loqwuvmDy_fgpHfdSwuw?rVVwA>rAygUQb^pbR_\\<@ZdGkxirbfutWmTAhOq]s_xrfqnQvROlMOmbY`eva>^oo@]LavPFZPHuDYlEFip``vI]IXm`?ki_eZNg^?f@Pbs`[ii[CvgCdoWEQExyCdJmD>[WhsXGoWGWe`iFa;hkAv`ggMsuiwHO_XvWMBIReeujxVr=yDLtn`wI=mmyJdtUkDROAWZ<P[tVodMc@YWiQ\\EjmpyTxR]LJo\\wSYXcdLYUUeMrTTUm<QIUW^ExkitGLO^hlXEubUjglyl<U=IRKdxR<PQPOD]p;aumMK`Uw[mSuXKQpQnmNXHuJ<RghpZDow`MAYnI`Maxuw`PLpMYey;dQ;<UEXJLQjEQSmetd\\PQeO:Lt\\PRDxlFtTghnl<Ng\\sk@SX<T`ajqFrGy`^OsgYubqd]F\\jpvFVitGrTP[ag_jwtTOv`hr=fg@@]nh\\GV_\\H`OqxhVctXsspvC_cY@`=y\\JQ\\xY^pnkg_uoAuf`uhHh]v]nQwMYjpidxIspx]C_Z[_ee?dUX_`Oq`_rs@gp?mM`gGvZnhgAvvgFnmydQIuAO^J^jvvgeypJPsEqpRXsR^nWa_Sqfyf_UAveAgcI[;^ttf]nnayQuBOyFQwqIdbF^[fsxqbHnlGnt^vwQ^lMIbmNweH[WgprN_mxpTyc>vm]Gf[VdX^pLnwtHhuqv[gog`]pnuWW[Uo^OH]o^lMwuGPkDPkbOiYfovNoNhfXxtGXsAhgmngJAiGnceQq?ihFqZrh\\_G_jpdfGrTisxh\\`w`UV]H`gJIrG_eq^cD@wLhbAxobOq`Awl`nQpmAhpVA[ON[tNqOfjffcAXcUX]WYf?fmvHx@H[\\oshG`DViWyb?ive_djQ]TxpVgepowdQeuAw<Nyf`rqoieVhW^wdVxwvZFYnUf^Ugs\\wsS>aUPoIiwjdiWggcIAguEwEOAD:egm?wKyrH?tEwGViRGQTmcIkOww=idEBJoVrSV;mGS]TbGx<KhP?rTMfdYg?cxkoF?=BAmB_mSQ_g_;x`CY:QUeMicMFRUuugutkuKUciahQcbg]v>Cs>gpNMKmmY\\XVGaokaJkqWD\\rgqupXm`]sWHvSxxFQoS\\pe=uheXd=Qb]KfHmUqrxYPZlouumVAsylSreJ;dUEmY:]UQIRfxli\\uCqpteVPqUo<xS@twIJtLXmiLEIWmdMntrp\\mUmrq`J_YMK\\KGYqIpsXeU]MRXHJ_eJwmlJEu_hxP\\mCqhQxly@beVoLh_VqhvIxMHqWorjHer?]=?ZodsOWIgIt]bxux\\AWt]y;OFtaGZeGJKt\\Idb[BTQUHsDIsV@[goec=ktr=IEOHtEb[sgjgfmgDb=iJGwh?I:;IrwxuAYnUH]OURWF=[H`WdUkcLAWwmey[CCWfhOfoyRc]sLWIcKsbiBAqtywR]qdFwHAAboYTGoCk]WdCy^ayoIvYuTaWYHsw`gUSYiO=RMEBHEeq;Bgqv_Qc:ObI]WSsUICu[wWIAb;AwSWe`=BV_r;scb=Bpey;?s;ahW;sF;cM_Va=INQiRSrN=SuUsPkfnwbIegHuXG?xauwves;aiPMhCWCCOWuUsS[HQOgHiWMYwaGWHOU`AhSxVq\\J;\\tTERgInxMmQ\\okdQyQwRLyFPJeuShPQC<UmMRTukVUMF\\jcXY`yJe]yg@LNAWZLkepNl=t<ERPxK^HkmIKUElU]YIdXeim]mp@dVmqWAeWQPpxPtVuXianSPrnlU_EloUUHdTYEontv=Aq;Uypxw[HlEprKiKdPNQ=VFyfl>`Ufr;H]Uxa[`_]Oh;VmNntGO[Rfq:opI>HeYl?E:oxMwCyMfHuXKOBEyY`Kec;XZQiqIXq;SsGf=YuGWs[auEYEK;veCdjsr==eu=Bpmv`gIBuRh]yCitB?bYsdm]XIyBbavowtr;dmOyAUiwsSequ]?ydYe`=ULMvuqTMmHc;wu_eDuGhgh:uceExcGRTqRUWqDDqLht<]TsyQm=uVLkWHu;Ew?XpkAT@@JdeW;dRgiTyhTZewCht?mNRmXp=UmDNGgfUQ\\RWsNYwehjgGuSQttQgh?eEVhWgf;oasNixFaxpsPv[SoelntEPttvlC`]oF\\vHpJiePpqWpZb_n<Vmkvo<WbQPwJ^p^VkyNcXWmRyj;O]w@iVPaa?ZUA]=>uN`f?W]Fv`g>vAhmGicuNc]agUAsHHeufowxphiaTvqn_qeAaaikTxoHwpW`u\\pcIVtuotDYyOXykHp`^xw`u]^b]pZ@Nhw^itahMPe:ve[gunny@alVgoofol`l^wpMq^CQv;OuSyv[Iie@wFitq>ojxxDWg^NZS_t\\^l>H^Iqu=nlJGiCqZEiPqChuBIyfdWhUes@YBWeDBUgyShWebn[y:ob:KW:;SoWsHwshoIHuiseWfuf@gHQ[f_;CPQBGUdr=VG=w`GspwdS=F^EehMU_wWTcGYcB^_ILab;_HqWiPcWUtwB<vgqMA\\qwXXbulDDgUo`\\GvrvseAhdWtkftGW[>HjBgkr^fW>un?aMIvGAsa>scXk@v^l?vwarZfs:^`=W\\Tf`RXa^@jWab?^wHfnc?vpFdSoeIit;XsJY]h^pfyf`Of<ankg`r>xVVvM`eWFvDOjjhn[AikxiA_vcgyghmxPytP[cgrQoujHqjof]hZ_vk<piqYdcijq`gWYgnIsYOgUyp@ng^Q]g?blF^go_OimSqjxWtZ@wZpjKX_Lx\\PqiuQsWDkIc]_x^OBeuspMTRUx>_hPKSWcY:EbtOieiD`[Y_KRT[f?WCkihGiCOcwW]s=QMJqvOhp[AoWuwLen;XuWpWQiwgXVUPUpeKstXgav@XVnLWkAq:Yv\\=lP]n^hX;UkATq>EwHpTlqyLUW:pPTUobpqOIJcmrppJ^HM:pNLHJg]OwIJ_dyWqQG`L>qWTxQnhR?xOcLxqqkEdYdIVCIKwtM_XNQyUl`MiTx?qNU@PqLqQYjnMpviLomY^mmPyLUyjQuUoxP\\<lWhxSao[EnFYVOYqXAwu<VSdUcDt@<YiiUj`sdLKh]p;`m[T[OybUhtsqg=qvc>lphdwxvLygYXZqf[DfyGAj]ptC^xVPZewmwajpYwtYheVktf\\fHeW?h>XZK@phPmNQ^ZHlo?pEItWgpV@rv`^Yv`FYskV[lWtF?pLOtNA[Vg`UQprFfgNohHwJohtWxkO]x@fffrbPsVwxaYnUfeo?qhY]q@tOxrIoilY\\eifSnxRXbxg]^FZfHpcAu?Yv>IysNmto]UwiFprgF]AGfuFguwgwIdTvq^qcTxg:NuChsVXh>G[cXxIArgV^Hqw;_uqynfN_:@qWa`q?uM`aTgiTIjPIuB@jynquNxX^nInoxPrWO]SquqPm[AlDqdYQg?fyiynLQpqfsjifyHZEIwlGsTfhwww<hvNoixgmgHx:hsoYd`Fe=qvMgwSh_TXyDna=Pvk_tZ`vpgtRpimQsrOilIjqAwSxdAAtaydVvwN>p@YacgxqN_vieo@[jpfey_GAo]prIYc[I[:WjoPcMntrIiDFrTFbjp\\T^ov>fgh^HQeRF]hGevn[Rpvbhg^XdUpkeXx]n\\HhdayqxixiXupHem_i]@xjHy_w^qn]aHdEprdw_UwdSXiY``=n`ppxrp[goy:qvAn`\\iicxvlihE>t<^sfFv<womwfhOu^guwWoaQeNpnq@ZTqoYooJ?vev`r@ZL^Z>`wfadqfwTY[<pb>nwgvbc@lpy^e^ccXjRGfYhtN_icidUX^`WjpNp@W]by`Zqit`dlqlSwbGQZvFspN^;HphVgRQZdHamHuFFm`x[YxZqf[<>oohjTYi=OZa^ownyBIZtox_fw[`_a``qO[afooPrWP^BWpw@m\\aZTV]^hb:X^K^o?hjqFs=ntvFnghZ[?dOI^CWolWjQX^yVrGW[n?rniwR>nkF]:qp@GjqneEyrhNhgoqpAy@AfqgclOb;hn\\h[AixtOg^WZnXvV?cn_oHFh@o\\Aq`RngTxuo@tpi`y_p`a\\lvhj_iBqrDvjPi]_HkffofN^UwiROvQarrPyf_[TquWqpUy`vN]hqhjqwfw`LXm@_fe_bZAwlyuPQrMhoYVmqAp?VvQwepxtSWhrVh@^fSQbY`e]`jvayONumhn^ys`>woq]Baunh`VHlbGqmGa=gpuqo`as`Vp?yn>Pi@?\\:gwPIaPgwwAaYxicO`wovKhynYuQpnJY`ixuCwmYgxXOttPg\\>c]wmUOwdHxypveqoe>dOYtXwkFhipvlA?ZTVrOWxvG[@_joplr^g@^n?hj^v_kAhPwtIOn\\h_TAx?gjmyr@i[yOdZ>dChpPxZqfagQ`;^qgXh<YeZoylXgOAu?qtsI]Jq`HxhSAaApbNxo;>gUocfOnqqtYVdZfgVvZX^y`Gvho_uXo>IZa?sawd=p[g_gTin?HvKoyr^`aiou_qIf`Yqb>Vvlq]m@jtQwEOeEiuXykRgkB^gwyncvx^wuAForQven\\rHw[Pd]hvbGbxQgoFw?Plq^otNgp>mmx`X>p:xkbPyFqbw^ucHbTOyBHyjWtZ>jT^vGVgFNtX@irwawvxla\\_IeOacygl>@p`yv^hrIVg[InAqZeG[nww\\@rT_esybywttofJomTgb?ib?_drvs<p\\=>tHagsngHybwvqjvrlNh[AetAbqot@o_nqj<o]DakjxvLwZvhoqNt>IifWvn?gun^d?iZOqoNmP^kk@Zg^yCWhhOm<fhMfiVQaa`tjxndqqswjXGuVqqoywKat_VvOiuo^fb>pPwwGVghApa?twy\\ghvb`v<h`\\H[swMASsyybgvkkIiYdTEYYeY;qHBUybquIOtCYGiCDykdaGDT_XoEi[AXeaCA[gf_voMhOiV]YrX_U]IB]UyVGVEEgdaP`=MNeui<yFLJbHR[]tVPu^pSYHYgMJwmWoIN?ltH`NG\\o?HKqmjAhPSujo`M?ltfAvO\\J\\mPRUKkQjqao]pLaXxN@K?Eompr:akAtj\\ioFLt@AuVUK]AqEtvIHt[eWF@PyXtUMkb=y<HPNdo?Yo^pjwdKjTP``KRqwjQjoDJU<MjqVflU\\<XWqPNdWNYrXXV]DJUIpGtro=WMqnqMoUYsD<ncUyRQTnHP;uLqLYqHMLxvpqWoLX]Am`HOJqLYAJfQNZXpY]LkUN<luwTpLquOxxQLwnAwOyyk`mptVyQWvuLW\\UQXM?hyXln\\YKy]P;ykYDWZ=v:do_=WcEse]UYHWP\\toqMvuQOxmwYPq]WTQxVIVEeo]avtdqGuMs@JhMM><T=PjWepayURpSYHYnuKwqx?IwD\\oG]nIYOjpxnQs=iMTlt<epfakvQlmAjd@lh?ojpfhwnAHbupp:nt<ajyfql@v[asIntDYdeVnQfoGntD@wpG\\fHiVXnNnvtHaTObH`ernjXyd[ggFh_anqXAuCictW^<FrxotmooUHpvGxRv`vhgfNuRN]Ra^MIbMQxSagUqtdyagia?>wn@pa_ll?[p_oNqb>VwIPghOe>yw?XpSOb]papH_=npqopgqnuObnWxKvtq?dpxmqarvxcUXxAooxqcqorBX]^gmegxc>gGIgpIl@ox;_tsIwZHZINdCGse^dJ?xCVswV\\NYemV]I>wsqhYnnoWtKgy[Qam?qbNlCi\\xpjZ>jTW]bX^NycmQjonZcwcvNqUpmuGh@Pu[noFG_nijH>[eoZZhfnwsovu?GjhGmGidEnhE`^HNqF>ZEXwWY^?Vqco^bG_YXg]Ajon]HQe]h`bidHnsvPrPplUpvy_uFNtRXi`_smFohOm;vgC>[?PpGywJGFqx]GBUwrr?dL=EAISLUGqycS]r?oWOwYPCIZic;Weg]F<cBt_cj;gM;tHOwHSEMAYaWSAyYQcFiWFDSEpad]CBuoDpaIDUTwoRJ=vjsbqEu<YR^whhgUh?fXuh_QutQHesi\\ecn=XbQwmQURYhqYvpshF]tyMubqIIGtCYSy=XnUr[whnawIaunwdfURxcCP=BGGw]QdyCgJoTtIxekxw=svAI[_Ve]IJiYRQXd_IwoblmWYmgqoEoOU:ofIOUFsHGnhe@naXnXv`=`pIQ_jpXQvNKyvyFpYGIaDSaBJqcjARKUrVgu]IWOIgA_HO;SewiKEwESWLUC=ec;exOay<ae;?h`YBcERHQURsHGAdDsVw=cDohgIf[WXAAYiuEp_groUvIY:UiWYFNKE`WGnWTUWcb]v<GH\\mGK?sn]tR;hGOUrkrYWV^?HjWFUaUsgcAyHRQUB[GL;ihmbpSIVyhuCIQgwwkCTaysSSH[E`EFbWIL?G=;sEwdtgutkBfEWoqyGkCvSwkGYVksoWGTuVLIYqGx=uTW]TZcwm[X^QsmqgPMe\\GRRiGQYce=G:ywQus]=x:DtsQlyLq@yvn\\uqlYbEoXYb^PxIpuJwapa]pwqTpp\\axUO_^hdYPeeoh?IrLqfFPeFx\\`^ZJWj\\Yjoxub>ppav]VqbyqYOm<wioArxNy<Qw=^xExt`Vm:NuXFjGiv\\HaXnxXihJQnWX[yA^iXq[GrP_t@PZXG^JCLafj?hPKDFOvkmth_fNMXhabpwe[WXAUtAUuD_SRUDCeXMadnEfDQu`qgGoHWiH[AiVOTnuU@MDfus:gw^owhgcLyvs=XMOFNWgq;wCahc?W=gWOQrkScOiV;=x^=IdmBjGEMYiPScUsUboWTOd`MvLGP[IscXJeykKaVYuxGmtWap]]Po\\V]ajwTwYYncQomqNUHvJaTY<VMPRveNG<R]msT>fTghNAq@IZ@osVwybWnuqiDpcX_yYFbefcx?acFm@p[r_dWxaQOxlhuoW^aX[aXnZ`go_fUYgRQ[tHh@W]>ie\\QqbA`T?j`okTOthwm_@dAIdDNkZXx<Q]MYpiFg=QxvyteXdcHedOdZggyhx:gd:how@q@`[Jai[fc:Vg`_y;YvG@frPgxw_Io]LQedaoSvjKnZLQN=Dp]IIuiw]wYIiAOgiUdO;Se?XQyfKyIT;h`uGQERSSs[;BrKCuSsXYGnsHg]hIIHCQyEKUpCBg]DA[WXWyM[XvyUnGhBorfKEM[YfOh?;WfySV?RpiG:kBguXcyYA]DRSVyuboyIIiYTqy<wxKkiyYHqmIXIFMeGgUT@ehRiSMURTow=QVZmVvIHrSHxaYy]SCaukIEHkdgQemiu`=sVuyeMHOkvykR?ifi;gJoXp_v?eBLqU\\QIdgdc?VZYRNMYxycpIXucXjWww[XocdQsih?RTQStoY`iCmoGTmsjYybOy=whFQYcEe]odL]gbeIXmHJ[Eo;g_qsTGfyQYoLYtIjwPwvylQmwaxmwHP?pTvywyLuADYiUrYmj@qYSAmI`QVhtYaoB<KumjylRa=KNiJceQfiY\\hprXyGDQTYSm<O>LM?iOmmw]QkNELgAqO`K@HOjpTvhw>PQoHqcMslPRxEU>@TbHlh=yvItnIvPXLdatIIMExpViN;=sJUXOqRuujmes=@KQISetw\\hrP]tMMyUHM;TuRyWBxxp\\Lc@l@ynqMQdujwQR^PRAQSm]mH<OUiS`eYtVnWA_L@q:_hqfwbfcY_ia@`IqnnQgDgoIQxo_sFF]JovVo_dvpCvpN^`Saq:>ZZ>ZC_BcTI=tKWsIIX=URSmcQGIhwVywrcav?wuSQytSXHWus[W:YVD[N;XMhIkY<rW`W[pS=IOmlt_iKUen:MueqN^hvHtqYPox<ympP`xvWTsoxvNEttLSYTp>lWT\\JJUjLTnatQsXlXhy=aOtin<TWY=YZuKwawOIOT\\owYsNTPGQkymYKivjhp@YRBAuAQkYayqPyV]KYuLGmvVepZQQbmSRUs^QtPIQxtpNltfeKLLY?Ujv@YUtLrdUoTnHLma<nCqywAnDEJjpLn]UXEUYpVjmPi]pCTW[Uxudpsajhqn?=XD@qv<MZHWjpX<pRi\\MgYKvdRU@mUpLVlt_=Lj@XfQVdxUKUovMW`@uDQUDuY]XW>qlfPpAIpbuyH=t;mwJpKfujV<vpDsqXwJDQ:ILM`pjxnI<t?EW;AufXQeEOt<pWuv<Mm\\<YELXKAqAtko]rH<VM@qPpmP=MMUjjXuA\\YDUy[ETlyJm\\tgDu@]PJ@oZ=t=aTtmw_uX=LJh\\wsewFYWVeQnTwuIlourw]TuMvgLSKXTJyWT\\JJUqOQwBhKC\\yVeP@DWFumu=yWLy?YsMipoMTmdY_evxdx[lxMyPa@oIlmOtylQjpaRDEtX`SkQqgER_yp\\Iuyqpo=NCyqS=MrHuWePkUlxAOjpR\\tNGyv_tu\\tVg\\N:aJ;QmgYX:\\okhTOIYldLgau=UR`Uu[`vfqkMltlDU^EsBmOaUkAhPuXmPdnHHm]DVRPXktKcLuqysploaPJ`Unr<r]=lpMRSmVFYytPX;TqOANgpRG]OmeK[lLbTsqtMYALdQnAEJrHkH<O]UuX\\xk]uH\\JrHX@pxSQQcixQqmGtR=enuxVHakPtxNtTh@rVIlEusleOidw:qr`XnuYPqdwqpOBTMx<vMaX``vqaTR=xcTuBmJvUSJEkeXq`aW:=nH<rx\\w;eJLqUohKCdluLV_dTwxy`PJcuxe<lpyVmeUtAu_=XMAN:PUu=JV`VutlamUxxRWpY[YLiQtIyUSpRYmUwxRsIUfDtYuoRyRyIyIUTcevytqZUy?Uq\\yyyiQwHyqym\\hLy<yW]vlAUkYkYElSUOTQwgMTWpqsavaiLRUyitsATq?TWCHM;<j;HUWpUYeOmxRrHjCYn:QMYpki]UJdn>AYRULt\\WX<Tnejd\\s?YR`ekLIrf]learvXrFPVrQMptXNPKcmmj`s=lkADjVputMl@xsUdvgQmgEQCUN`ykleWaHqcUnb\\WWIO[QUhuU@<nS<rplrE<uvLweyOTToOMMiXUKeop@nP`Nyik_DmEARY@W[uskDjZqnsHW?MK^HktXMK`UHPmOlxVTwUmSdU^DOqcPrnowshaD^sGwv@xrL`eXam_heD^sCI]Oa^s_j<W^;V_AFeLhgFycEIx\\YemokR>noYqpOq^yhd^nOvivYiu^kk?^P?`rI`dfauQ^qGqnhhwojw>sSajVA\\MOyhQpiAe;g`anuNYwDI_IynkXs;FgJ>bGNgW?xvirevhUpoT`l<QqfAfjppQpymy]aHtdxixYZCagVwxNffUpflv]tW_x?yvh]ppypI[TGxiyq[A^Fop;FuUxerYc?ntXHpy@rBo\\nAbXNZX^aXYkxooTio<ag=>xtpbfa[Qxjo@^QOk;ImQIid?ppOd?h`]OwA^ngNwHX^XhgrvvDHbTx\\fhjWVwMxo]ghlWxCO]?YZXX^IHtEfpwa\\c>r`?rTH`ii`PAw\\HhE?opgbOXjDgxIOyv_gOg\\_xkGqnGyrQYqm>cbYyv>q_yfRYs`NwHYbDXnuqkWO[JisV_ooyr@Qb[H_<>eEP\\palrx]DpbyIgpwhGWip_uk>vCfhxYrLxvggeh?kdankii]HxGvZRQmxXrXNnevfxAcqh\\x^bQqavY\\QIkgFdhAsOOwpf`anujhhjW[;GkNNewObp>em^xsxrpHoMymyPaMgjonxAG_Gaxohlu?woyivan?ieDq`evyoyhnqrqx]qPeGGwoq`P_y^IatWxioaeWi[FuLAlwYpOwu=Gsmydy`nqnmtOmVioCfoaF^mWtdyg@v[Zn_dgucaik@][qcXIeEVxh^veqm?HhMaiYYoKxe>qx`piFnsNyasP^jinf?rTxgtFaVInNnsWfbaopW`[qQrQhiVa`I`h@^o?f]A_aZi_sVkLwtRfZRA]Zh\\gOa[^_eWvIHbTgsDPcwYpxia[Wd_yknIigwbGqq_gyXqrM^`xGtbgyu>fwIc[NeBPy;Q\\UqucqnsGscqnsw\\p`wlWt\\@jUWpZhbb?]R`f[wsvfq]^eUAtJOpooo]XxyVcaVcyWn<OuAf^IItcPlYQmcO[AniTPkIyyHawHYrlwunhx?VbXVnLykf@k;wq[wkb>lpAp<FgiVuVPamIyOaoI^qxOvoogsPxvH]qw]Va`Bb;egiwVX=eEuey]T=ghYgituhCSWfyweUGqUGjoxQkhXyhQeyeYxnqrqoI]mInAyACfOaIXqwvagvIyyUtUsUvai_aBCqt=UTGYxQuiZwHX_y<?yGMge[DfGyv_BR[dsmtCUS:[gsERTSXMQWGgW^uyQOFyyTuegDOipQsPuyH[QihJa]TKQR:\\xbTOY`YxyMuuw;tU?epoyYiHxxtY>]kDPNpLY<MOgLN@\\nqUOC\\n=DNn@T=eKdLvoQOrAYOlo<=lLLWBdO;`NaDnSAO;LRM<lHDo^Dn_<ODEL=lLXxtFYqEalwxVpammMrgmlS]YpTPaMySXXlTyumYeewoPspuL:xTQuYHltVHJUXqQqNs@jo\\QoiPd\\WP\\O=ir`HWdMmEdPIHjodtlqpUxuQuwPtO\\<SuHs:HMmIUCMPGMNGAsrtX<uW<uS?iRTeoiIMmyp;HN=PqwTJdHy[TsT\\sBPTh=SOayuHvIHwhqqtMOGDq@iwuPTMAqIISwmnb=VEuTsytULkZdO?XYhAxsxtneRHAqXMTlapwDwSdKQMSQYrqhNcaVUyRUpR<ix\\aS`lPG<v;uyJ=qOxp;xTLaWxTpgyu?LWLhSyitiArxOvMaoNgp[Xbx@j_XwuHrb@wWPm\\>ncVgDPajHxgA]tAldPd:Qw=hdBnt@@hdAeBawO>pcOxjn[<AjCicNyh[Q\\Ra``_llY_QgsTngnG[sxl]XsWfdGOpJGtRWhEgduX[_gsRIgWyxjxj<VghNxLH`PxlQxZYQsy>lPAo]xaV?uU?hQ?l_gnfHqEndf^nkPsTHdWWlfn[B_tnpgx?vnvySg`Nh`cq_xx]LX_rNf:hosNga?\\fhmK?jGVbTiwZywOPkX^gKwbv>k:ApFvyIIy>QoQosC?yS?gAXf;^whnkaOyxHsqGnHOeywfcXumhj[W\\tVr<QmUQgT>`sQtR>igodi?a>^tUnZ?fve>nJf`h?^Ln_xpuj?`NheRgr_ib=FuJW^PGu_IcIqyjiccQahIa_pgaFgJp\\`xyGhdkNgTWsxnpTpfUyqdx`ph\\oxiO>tvIdYYeDQctYsyGstqwjNadw^f>sdao;O]Kgttqw]Vwq^qw>cAxodFmuogex[opqmXlK^oGv`u@aSxe;QyeGmE?uSyhsO\\vQx=gnM?hjwbOWraqf;^sOPk`q`fHjo^okQgTHdKAdOh`FVgq`u<^[f@no^wbysoofP?p`Q[VosiI_Z>l@hoCNmXX^jpr=Pl^^cTV_E>g;xeiij:^k<QmU>ZdVaean?wv`pdNXv^Ay`vp[iu;Y]PGtTH`D^emgZRA`^huDnq[OZmf]@ahqxnfPqxfleGqMnh=NinviKXqXgtgIwD>eBA^<^pgWwXIZPt`gHoYImgHIKuvsuFivumIFohEKtpWXh?iW[utmBTIcV]floCm[wo=SH]D]iiuwivWCocSPqR]mHiwDA?FgkClYsQWwDCEQ_fPmvIystOSS?DFOyGmBLGwMme=;D^gfk<QXdxHPjeiRcQMFhQ^ySAlLVqQMhoeHWO=VaXvjhwYYobHupyvMmsdXJ\\XkMYqMHw<`oh\\nmLl_du_XlJLpYDrT]opArdyxxMKf]Y]=opArNuMFhYaaOAhkMXvFtKnMyj\\wq@Xk\\WVTQTHMm=rAioWYyZYJ`=U=tx[esdlMGiNreTmlUGXQADjntKhXrm`SdUw>ltxhotIjnLJceM>qWutTDQmkxTa@l`yr;AUM\\xtaUhEnUuwo`WqENreXoYXd`RK=UMtMi`JgtndMUo\\TjlvRqqw\\yBUODIOnUxmHTADLrIQO=nVPOMPu:IjQdp]MsVXoMhkGUlGLSU<JUtqpuNfQm<TWPMoN`UgdlO=Q<Xl?lPg\\m:ir[ek<=nKlyVeWe]TMqpWHjpan:hqeHlsht=LwPfk>p\\oqbJplQoqF`p:Pyk?djGgsH[@ah?vsbQ_Oyte@ppGqnf\\xp_Cgvx_fPixHpjegbeI]BWk:Psvvjcq]JPreio<hgofspV]NagBWyiIrTAo;^pR`xvOZeOkdptiw[FIuNIZ``jfYjfyqGntXNe[xwi@jGVdAHwjnnvQigy`aG]f_mnNjcNkfxh^fyPn_<h[]or:Huw^^QW[J`kWNjKitSgeep]fHs>nsVih;Pa=h`O>t>wvLfhngktNyc>p`>k=Ol?i][Hxr^_fHcOaZMGton`??`@Hnf`fQGnUYyrVp\\im?@vUieA^aOnt>?r`Fq?AZPQ[\\ouH^o`HxhHeFFgOHrQalM>o=fZNflS_bh^_[ImPXtSYlUQ[Zhdiwi[Pi`odMQ[ZhhiwiqdsKhgsETaxH;X<KbDOepgGIKbVed@QTHGXJCrQUiXisWQT^CyQqvemuqgwn[Xdiu<CDHiWgUEKOCdOiwCxNshMivE=SuSTx_dKut:aEMoftgIULK_uvM=MQEoHLVG\\a<PybhdNpoof[@Pt;v[ZIfy@_bhwYF[y^v_?r=fs<IvpIgAVx]_\\wAdF^[kXaFWuf?duyg:OmwYwBwp_FgwHfnwiOnttPwkQg:Wdr_cCFuE@fg?[^wyo?_Qy`kQsTHf^p\\Qvp@qk<flsiikPf`NdOa_V?n`>b=WsjWoCptMphQngGwlWfqfQ_]gqu?pp_fYI^rqxQo]Jq_hy_:pjW>]?^cpwoX_nbqeWxuM?obHg\\Wh_`oOHnooeW_yVqaYnjof\\RajdOm:ifcQxwF]Ni`y^tDfmbXg?>gWxiIvqdgiPnrgWiq`iCniBnyH@jSgfByhZIpcId;Po`@q:Gu;aZ@F[DhkOWw[PomwhW>khqquwdlgh]Vo_@usp]>?neHg@YfkFx__wcwyYigaP_UP[eOiVPmh`j?^`RFZ?v\\QHjOAb;fguofwWbIIrBNt\\Gnv`hoVn:O_qadsnhWwm;>hg@hW^a\\y\\GvuayoAXmsGwVOkIfhuPm;hiGwafggmhs@fpYAZ^hyS_tpns?Nqhx`SpkE`u;VxlPqKf^[Odbq_RXpkX`Sxio^fI^qP^k:hwiXrZ^wwafBqi]?q@nfdXiZ^hpQ\\RA`s_lJ>s<w\\h^jfIpkacah[V>ZsPh;Pl>ipB^rxofV?nf>nkhi:ghZgkYqtCwodVfQxvgNndHd_gwPgphixOfc;Wt;hbA``QIg^AodpfG^_f^nsVypQipox_>b`atAo^UWyKa^;_gSWthoqFPp`QfNInfoDKg`GyT?rHeIQwUIKiHOBUWd\\Exh]tTesUITb?gcMI^guFkyPWBgOsJwWK[gOiBx]daogjGgdUEuYV@oGQGf@Wfh[uC?yPQxwWS<WsQitnstyKEBMSHkSGUgH;eTuYywChUs=oXVOx`mTaae<kec=R;GVueBPqgwuTCaHF;WI;W:orO[eQgc]gH;aBemUGwb;EusgDTYx^GhaADb]bTifLidbgg<OyXEhjEi^ehZyR_cIWeEyoyjUFyeeX=YwGY^[uxcdcwDXuCFch[cspSENqYE?DqyVMUuNyxtKVjyF^MiZSfaKbogwjIXPuXLIXGmRjoHuUVQcGpewo]BeEUimCA=hp_Elwf@IxhaB<SWEGFuMxbUr:OBtcCW=i:KhAacMyExoWbsHL?fM=VO]hyeblmTmohAWSjWysYyUMSVMe<;YD[gsSYIsTxeiCUUOiSlqYUkhqYbEwBDcG[]sSOfBwsMAE;QusuFjorI_fooCRMfjoT^=TMQc:YgEwgM=UnMGTaTQ]g>OwYsE=SU[mSKSf`gD;wYIsUXKFSIRfkSfIY>;WNKth?bRigC;r@qekMgTGGuIGO=uhiXvkBy_RvURpwiMCyG[F^[FroY`AsqUYiceesUNiwSwC;md:uVg?usScmStNaH=ytDguauupYHJIgQUXgevXiwaGVIkWuwCd;V@UEAsVFMFfeDDQBTkc<ObESSrAiQ=HaQW>qtRYXb[UbcS;Wc_GGV[vSSV`ESfMeYcEV=X]sIGuGvouvKCheeDAf?wtUeb=iY;GVjuvRmhWIGTqV=OuieSGUreqyFwiX?xumUpOwO;ESSg<QUi;EYCiGEbocIcwfdQDweIruC<ghr;CyuYS[VGeE;yFugRUobGIU>?Vg]cPoc=Awdad>KcTSgdGWOufFcetSg`GI?_HaOgT?UKGfjoXEQELAttuXuKTO;tFeekKHOktjUrmqSO;HMMhQEE;QeiOBeMyu=riWEqMf:QvfcEI_VLmtD_rJov>kDWgUawXqsUrSie?gTUyNswfKTNaHasv\\mg=ObScbntq:LpomWk\\KcuuAtY=MmFQO`MlHlVOhYypJIhkI=XZmNUMJWLjwurM<KLqq`alsXQKxU=uxPtO<ep@DLBqtDYMctLoho:LujMwUiuILSZitn@JQyYdLnNxLPlpQDrTPutTNbUnGuS\\XkOdpttkx<V;ev<HtV@ryAxmQWLtJ_eVEInCxvj]t@HNBUU;ikDdoYaXB\\UhlU?IjYTKjutmYTGet@<S[ixPELjYtkuJvQXnTKd]pHdpOaPUaWJUygDRThW:TSQuq<TnN<UMxwcPjC<KPqv`ex:Hs[UQZmx@pWVmooHo;IqZAYm]JqYORhTnLr`aN;mt^Hp`@Uo@p?Xx[>ukQy=X\\rqdMFrTysFX[NvsUPvJa[h>dqUmeGS=cZeS=_H;[IcUb>[T:UyyqWLovhuBc]brCfeGTJoi<OrTcBO[I_?d`aIgubbQI>MkuHTGQSpu\\iqox`]fH];hc^og;O]epoDno=gZpFsGXgIYuK_bNooUFrYWmWGm@?ZM`r=fZ^GbvNeGwrM@xm_r_WcJXakhqJ``[A^<^pvhhivaQy`TQ^mOkbw`vyhBgtnVbsf_S^oA_hTPdbAeyo]L@v`QfOfcg?eGWfUvhvyykGlhpbPvk`alFVZ?>sqytmn[HyLIvvESl?B`AYrSTy]GxKwy;C;MuTmHokEv;u\\KEheeFuRJoDC?FgSdveFhiY`[shyGfUh;es@_hYqedoR;cwQMgdggyEBd?tvabBigJ?eOYTMetReVgicJgu^Eh]icK]s=EtfoeSsRfebi[eACU]mFrcS]?R:cCo[Ch]fS[DnsxZeswsh`gvo;E[cS:sTdAF;SFZGUcORdOdPAhwwg\\qBoUFBqUjOc?gHquxkmSZmsOuECISVQequTYkww=YqUx[cc<Qee_fqos]MvfWV]Ahtov=]DpSGoesrKINSRTixZQCZQhROHJiVV;GJEETEBXCuIEBiQBOIvhqIAYT^AxycRNWbxKRNwT`qw>udMWx@KFRSIH?fFgWRKt>ueE?s_CGsOTCae`_vjuY:Oc^MIRoWAkhaIRuqUnkcguITwfgaCceEK;do]wOauTEE^]WImw;UbTorYwEYuW:Ufk;TjmYKGSCYWdIIL[ivsR:EUcQHrsTl_krpTwmtNyxXLKQXkL=qj`kAay\\EnhxYfdQHtxkYt]UYnPk<xMIhVbDKxhwxArpxyVHu?EuG<p`URVXWRUrqYVNAlG=p^eVBLjoxL[]YnyvjDPlYKrAQ]iJRhmWYL``jhAThYmFMksXo`AmtLUr]SAavkmlaYXFHmBTNppWopTrpM^yJC\\TidquTofHYRMRQXPOeSBDWFIXOux`UjpmYjEwZENSPWdykZIWyEx:EL;\\PoQMUDnsYKbEMXPkXymcXNP`Uo=p<dX<MXwUuvPQuARcmWk<i\\YvT>i^VnTpdf@jTHiUv]>Vg?YqDHsNan`Hn_qqWasuIqmI\\Q^vNVjywhYfgAAZ>^gsQ[fTX]XNwvUeiFst<WsO;H]WUJWTDmrqKgPUEZmc\\CxlQDxeXyWf;[yRCXCKW_mHZqcc]GTqcYmuCoi>cHT]H:gUawImCgc=rFeTumfQwejYiv]Bgut`wdyyi\\yGWUeu;iw?BTixD;Xlii\\YGUYVRUrPIfQUHM[ugYReQIoaWxysOOULgxi;dXSd@UCeWYumc@OtLiFZivoKSeKghgWi_SeYyFSbDOfO[C:ISjAiyAVrqGyeDNiCR[CQysfGtZicNkUiES]itx]I`wvMUiqgSrgua;u`UbTyYEeGluDLqyFIIPaXRUuB?VgwGK=u^=iACrTyvBktX]FDEBwwWnqEwGtqsB`mWfIfgyEkSGC;efqh>utGaSRsBKSXaYbP[r`oGIweBcHY;Y:QhqmTOcHe;UKeToKgpGIQ]fdWBemgZ=cMusNgbGKusQGjoveECocCYWxoCBCgDfGUtOxNgDayxOCR]qcNkTjOhPafMgB^EI;[ilgI?aBLAURUFmqD:qFtuUV[fkSub?t\\aCPaGsIRlUB<eCUYT:UB>[W?aCjGgJoxDGv<as:kV?sWOGVQCr]Sg;[u<UToUeuiEGCD^gU>kIIOexEf\\=BNIrSghPiivaSiixbqx<udqCSl?im[VJCB<wgZsF:uVVYwZoTVousghA=RaCEpqHyqEKgeVeE:qeWsVZWC@GIrgBlyyCgtdAb`SN;Iq^dKx`YvDwI@rLPt?aJLQsDmljdrTiNGLurPy=AWWYLxUrBYwiQxQMMDeRC]mLyXuAutLqFTqvtmG@p[dspTMNqYI=plyVyuy]xjf=j?nq<VvA^i<o]RXlJ^OMHtUrN?xg_vo_rFguVoDLWBqAfAguYyfpubBIUEcH_IBy;E]kvFybFIS]IDfgsMYIE]ivEvV=ysOt:SV@cRGiHfGYb;h`IvLKBVErTGTCUVqgdF?b`;Tv;GfgD;UR;[gW]yl?c<Oe:keFAh`SiGKSRQeZ;Vushq?uLkt>Uyj?d@QGe=uReXGMX<;S_Ci?QVJUHVwT?gHPene<JqDsGdxj@VaTo`HQAlPo]t_itZYkjAw`qjDXWLEytIQOetr=Ye`Ku@jZeo[\\uDtQI@NgHPVqkrtSV]mL`rMHopEu\\dTg=r?<oKQpK\\wtdxcdTMqXNDReqmxpJrUlFLkTpqnAk<tWAmpQLqoyPv=YuEjUUuoXV:psBxTfiWs<jZmSmUkDAvVmuoPNhQWbhYRLqvaQ]IsvIuLiR`@p;eTgTnQYRahxwuR:eR[dkQUYLyYr\\UCyU;up;in\\PmGvtIwo\\YfMQZAN^BWc]OgTVuwwmgo`bHupYa>hpkVblHfxFjoh_^nhaOhNyfjVawIirg`vY[g`stY]wqp=yZUNi:Ym[VaZyo;IaBntt?b^yaP>]lvleFx\\N[^HhI^hqhuT`gAo_U>fgqle?emOf\\>j=yoIpwy^ZGNjvao_^ZQwtHptY_aBAbTHgyftGNw]@rTxkMg\\FPocgrTPm`Fa;hpdAqHgk:qvFi\\dHbTX_QGo;ntjHo:qvhPq`QwqQlOYi>AlpigjIi_ifO^eGFaIfhpf`<XgbO[\\>`]?bEvrfHc<XlrCLqW?]e]ArFOrRedhKeC]IBKxjoXHCrTUDRicZeSrqUGEDvayUwWMYssAG[Mg`\\jZLpW@UOQvdQYl<Pa]yUeV[]w:qkv=WYYP:Axu`R`qsjxWAlXumPuyn;hOZHsr<ObTU:=Ng@onENaqunQWtLMDqshlVVYntXUNMl_dwSTxNxYV\\YMxmfxKPMVLeXbEwrLJ]]XbYTZdwXAnBUUGU`y_ufIr>ng:AkgosgGtDOmnIhxOeYN`L^pDOn=h[xNhv@rONhAfn=XrI_qq@\\jhfvpaHXsip\\sVy]?sR`aKxcpWkOooAn]ZNoThlaQtrN[N>qYgxZOjovhOg`P>tR?cuPhaqnXqyiq^MIvBQrmQxWf_Jf`GVjSPg>NtTIy:hhsy^PGe=ApP__LVwn?cUykZfo=@egQd[gsOP\\`NdMAyG`fnpuUGh?Pqb>^cqr:?Z[GvoievIp_v\\??uCgcIGlTpfjx\\Tgq<OuqHraAbNG`:hcmHnQ^eqn[N>`iWrXy]S?`^OlUFxc?]V@fVfZdHocoo:gdC_]GOfMAhLpudgds>hLGu:od\\WtjGdtWkUqgVFucFay@daAZg`g]TIMibqeyIDyiitYYHWRJoh:aTU;U?CH]EEc[IgwwAuRZWTBUUHiCP;YnGyJ=ixMW_oUMYHj=DSqxpItNeWZErwGRKmXy=VUgCdmpwYjfaqn@V<TWMPyimTZew?eY><WbyLjIr@qUDYWFTWUINwixkAlkQureOndOdmsV=sR`PCaxji_RWpx?mPw\\Pad:WrGgjmnomHbQytZ>sQn_WnhWPg<OfLOZZ?`=Aj`XbTXlEq`B@_GH\\fhmq@jon[La_Hxr<QmBA_^Hi=XoVpe^pmaNuh`^qa_c_Qge?swhkuPww;iTymwUisU_h\\gUaeuPUsDkXXgRJovgaBhAD^gBxOBYaBQGrO[tF=f?ofQUyPGRWgcG]So_I?gf[?E:QY:IvCcdKcfFyBgms]or<MebAEf;xsWdBsttqBDWtg=v@]tnSFJIHcuH^Sc^=rHUs?ewb;bpiIwiehYhiuRx[X<QcUWI>CWkeCQqgPMdP=TtsEDCTmkDXuxlqEEcV?`j_]nnPreIyEAveaq_]ubYxthsAHroXTc\\K^hr<evkhPnuY?LtdmJoypYlxpHuZpxuUpyTY;qXaApPLn:Qu`LxtYRAYSjykfxLGivn=tM<xiENUAvgAV>\\WihSJtvfMV[TS?hPe<Ku=t=aofHsquJeMo\\plQxlAtTxEqCMMUYyCMM><t?mNRUL^ioleTM\\TlULPArC\\oc@l`awwYVmawbiK_UYEho;]oTLr;ljodLRaT]ANGHqPtl?xtqum?tuhPyxPOfHq<lPK\\wSts?ENg`TSAnD=TReUweKhDrFemy=t[iRTyKKtVCqqOHlaEr]TrE<yneMZhsEqnlQTO]mdpT]dtElw>al:im;uV[XWEylG<tclyHaMSIT>dWRdxGMLLMmUdNX`Ub<VhxxouTDYlsuLhPpUqmWDYJinAUP`UMd=QOuJ@\\PodUAHpnam>LpZlPGuJxpJxUnZpqyAOb@sYMsfYsytUBSeGFJUIj=HvAXfeHv;tt=DVhLGinpuUJAJ[YXHqPUaWJUyWHrChYy<yuIxkMWY=mupO>`sIEkTaKihRhEjSEUiDrUDVYPrATMX=NWPnd`o[IwuDrUANwitC@lxdVL\\RIqS>`xCYlsAuKlLPqYb`p^DMDTWq`u<hL[<n[<jMUVSAXexu@yLDykNLXJhV_QPnTrT`WhalNhWilMflNDMMOmtDhuD@tK`U:QMPUt>PSL`ODyP`PrTtK:=yoxTatWQhyh`V;\\W\\dXgqoxTK=Pq`yjTEn;ltrdPGdomyw`iOVyy?@rx\\nweMvmlCIV`TU<AuOqYaEnHqj`PJjTVl=n[Hw=mk`@XmLnRDRTEPa@kOmRPTNRUx`mlkQkTHuWISIxXiMWM=y_lnRUTjamelVOiYxaTium=XQDDnWuSy<XO=yWeTMaNatvLitnTv`lt_`qlUXlAVqmsSLttpxbmSZdk?h`^ipXoakAdP_pJXc@XkiGh=wyKAdXxqRWZvVfSNoth_@XroXlCAxBWo[@xwIxN>qs_g_^aRQaPngwgp@GjnHjpYxXq`U^Tqyr?hpCVJWbFuVawB=eDdaYXUcVaCmShXmPOQoNtxMdTXln]<VUuQ_MP>usSXJeyN_<qc@PCQJ_ess\\oC`ToXnAlKc=jpevQxwCUPcTVlXxx@p;=lIPJeMp_qxQtKOTwhqS^ekJay?Xj?qS[mrVET:pX@hkUYYMnjUWvHnuHGbLQeSWt;>c=`pdGrO@[X^oLNtDpaufnjQaKWtTPjk@ltpdrgqUWd<VgN>uVXbE`Zt^nO_ZQVr__t^Gd_AZEPo<^tnQ_UNp[FZhggAx[vw]K_fxnkjPf;>kOHa@iwTW`OyZ;OeKv\\YvhanpBNqp`i?Qxmf^?ytCPm`YvLg^]VjB>tpHbwfi;beyXDwIauhx]TREr[_Gh_hkwFAOgc=EJAXeQc`it`]T[gRCKhogvDahKwuR]BcUvgkIAMD:;BB;RLCTJcTZQTxQFbwEjKEhsvgktxKECATSEfHUg[AX]AyDcWJAbtItOQCDGh[cspwuH;gCqhUsspwY=[gOey_yTR?DUGg:QEoubxoECeu[wE^uifgrhGgDQuUiYysbcYeuUrF?vg?hXEcKIUyCWDGwV[YvOerIFTeERUr:obUYHgYu<idYgD:UVFOgdeRHUsiChImYDSW?QrgIC^ghoIPIIQ=hPQUJF<YbHXXysDmSZesbpokuwEmXP\\tIYmquv`@Xptp>IQNIslXkt=l@HrSLs`@MPAOjhljLWTEKryXeMsgYx<Ytw=S]qk_DkdYNSDVFppeHn?@TaTuQ=KkepWlqBLtDdjdDmPEpZLqJ\\QPYy<@n><JapqWyldYkZdsQlYHHO^QV_ateEqm<q:UjoPw=Qpu@N_TUbHWhIommsxXXuqXN<RapMxqSOYPPeR=Ap`HqyDmMAXOPKRAun\\XVuOYIxJmTrtUueuByQXlO`yN;inv`NMERumtoIUqhTVDUoUvrMppYmkIrpTRZqt[iTjuYJANULtfUpOdPUqyrApp@V_]L;hpCHpS\\XsiQyPRODjohkDPo`TmNhpqMyxmJiaWxmM`]jvEJiqJyEVsmkTxKr=QW\\UZapIHVN\\PVTj@=VfhpiDjnDLBHvAPY=\\JeulH@M]=t>dMWXL?<T=`P[PQAPQRpXXQKfHwjTVSMREhkEUWiiobTWaemXyKk]KVXO_\\sw=LfDuMMRZ>[PaePneYie\\@ococNo]p@xtNZm^[bgZu`s:?y\\Yt;Ahc>qJNs=hlvOfLV]InrAYnCQZrWlGVj:^tgo]k?y;YrbhuB@_jf]A^ZkxfOHtsA[PayrfZSofEYc_Py;yckFy^HjknjGhdPqj^YbQVZfHaiv\\_oyvahofsdYq[nyFieIN^jVZW`fCakvyxswcHoqPQqnA[Zf[NQtlosdAkT_r`h`ky]AfkKWqRxqJWyK>dyHuR>qvOiKv`jFke^qx_gspmYfcSgwK^`RniXyqPqiJXu`WjThgyO\\RWcCpdZg_WnfahjKQ_@>[Pqn\\>euArKybmWilPsTPusPvowyU^ys^hccacsRYVM=UmoEN;FLetHoYs=SM=tdyIgYSUKbnOx]eR<=G[eTkoBg]YN;UmmgV=dRAeZsEr?YRuTBAxvsBcMbt_dNEU=AhpmtC;UkytB=vFEh`;CPqsCCVGiXd[CiocGESecuUMvX?X];HOKtFOsTWw;[Bh=RTSys?st[gkdPF<WNLtliPbMOIDsAPYU`y;xXEMUI@q^UvAqo@hv=emftYl]mA]MxAXwLNI`P]EjpEu?MoGTn\\pjyitDeK:xM]MxrepHAnpHokEX>EUULY@aJeuRp]LmmWIUoI\\SdpJveM>=RQqoTlwKEsCEnpElgIsc<tZaomLJm\\uFyuelyZTqpmv;uphisZyOyEVx=mcHpcmYM<nf@VXLjnHxjmQymQV=sU=n;qMQtuDAOc]njQYZAS>DWEAy^qpIqK_TmxaqyeKNawJTVeHWpHuZpxuuPu]taXyjpPydny<sBlt`drhxRjpLH=RGeOfqyxXNRlyXhLFIOeuwnYy>luSAyLpJhuyULxS\\qa@JUHOXdw;DjEXT:TW><tJUY`Iqp@Ty<tI@JTTuAPpjpNS@NCuX;ITRUpHYV@QjWPKe]JLQjv]mHlOjuT?\\VgayQxV[HxmeS;hXAmPcuuNEjotv]lyRYVPhweDv:hK=QmB<u^tNQajOaPe<YelRjpTVXYqAJbeXyEUoeKaXpr@LVxJQDTmlnWAOIDs==pP<VDhS]qUU\\lkdUsQJbXvbmJQQNHAjJiYc=kGUPXXql=rSTlltXyMWm\\JcuVF=T`TMZakM]y^Du>LohQrQXoU`OsdqQakUPm;Hp=TQDDnwuKyDJNLwpxOAEXuMNUYk`IXeakXUoGpr`hv=ulhIJPPoZ`V^aUjtr`HYtyS:=lptkMEujapxUxr=qvMOCUTZAS[ixPUnZpWZAOhqUlPWTySuyT]<SU\\V=MmgmPbV^;?kgowWynsG_=>ndy_O_ZPqa<?p@_E]XPCUqqV>qB>SW[[eloRpiTaidbsuyWFZUwLqi=CWh?V@SrSOuNUgYQsIkgvaxw;CMOtDQvHOr_cIjSyCmSiGst=X;GXUmTOUvQYwQaf=MesAeNktD]GMaTjwr>Ad@GvFgHKOi`CIKmvbWsMYCfoBJ;yZgXrGTRUvQYv_miW]iFurN?roMdV]g\\GV:UrdKu??vm;VSSc`CE@sB:sEIoNoLk:\\ksHUl`VPuqVxv?UtMYXr]notNmyxapPAXuktnrtLbpwhatAdORhLpPOrXPvaNnENoDS_Mo`hxjIXSxRRpK\\<O@@NHEYMtYiHkTpt=ytLYygqU<XUxuNO<ttDWjmJOQKaXNdMUqpV`XTndxU`JXmyM@nfty]=QQxxktQD`T@AlplKdlSg\\vN`pAYJAUrqurcAKJYwAuldQKUlkGUKTlJylwYEKqiXBhpYhwpHuZpVUymUltjPp@hw]`pBLndhSGpX:YyShyZisBaWrusKyT=X`>hg<HwUNybGx?OpLIkwia^YdrA^rYdG>uNwtanml@h@hlnnp[?cevaS?wNNpT^agYZQpkOFjMAmmVndpZPgbahfr@yOG`n^iPY]TnZsWr?YrageFnbZyoaHhupnjoyZHfnWnfP_cg^t^nS_]MgjovdoH[wPanf\\nOpDgv;pkXO[fHacid_?dZfsoHdRW_wXe[yr>nZRNtHyZYP^GwcuH^HhbevwqO[digfGZPGxbobJQoeAg;vk\\phoNvNVx[Vxca`fXx\\hdkF_p^xqNvKPuLng?am>vthqcpgqknlH>nmWoxnZOIcpgo@Q[Rnt^`lsHoJi]BI_<pxw^isxxpxA[FguePAHVGyK;R]WbC[sYWwXge?;t_Wiy;CAUdDaY<?WoQejWyMYuyMHNovaKGYSc[sfTsHbqdXSxCoT]ED^gc;wwHgG<OiIuc@WWAmdj]cxAVUIvBKtL=fPub[kx=QupSENaWmGVgYvNGbjCXbcCNiyjcGL?i;eToawGAsf[BeeyZyYmOyleFa_hRiHCgs;gBjSD;SumysysSVyerGV]SxIKwoAIi_uxGCQmYvGSXkxoYUsQRsICXiic]wFKEnorjoTfaTgWV[eSL;GXuDyOIEME@_Howci]bZew<IvmotAaTuSG`kVGOjLTt`mNBUXM<JGxvdTuYMJhpRZMTRUp@XoL\\qhPMsptR=U=YTdpnS]waEXVyLUujJpXh<y^pKuLROds\\`QNXkvmVIHQTMrqnc:yhbHvQyd]vc:gmFplF^ksp_=fru@b;aoFI[Zg[Fhvd`^=O`Vav:?qMvhVnwF@a`>oV?^PHoHvvNVbJw[eAapFcB_hhxaE_[eWyCWn:pt;FbSwb`HwQ`^uhlbAeUIjsW[uph_Ybqpg;NuthmuPxBSlyv:wT:aVbSsE]HNuFJ]tnod]If\\aFWcBtaVe?YrOXvEFvUYfCcIMcEOUgAfK;xJUUtKxmoTAGfVYXDqHUaWJUhgySHSWk;Hc=GgCtlyC>SWMuB^WrACw[af]Mye]f=kuD?s<wXK;hwgEXgCMYh=]xHUcS;YjqYYiGjqr`yd[mTjyFTOi`gCh;do=Smky\\sDd;VlsgZGi=SW^=r:KboWcAMcsoCLeBncCLAewIYRUdgWvBAuKce@;U]SxHQt=?HAaxfuw?cVAKS>wvdSuYMCXeEv_U<oEcSD??VGSBSEc;;ujYWiqSXmSO=hyMSSUVO?F@;tBixAse:SfUItOmenOxJYDJuGugdpiY<SdtqF=YvH?RrODk]u>SVQUFIWFRUC>CfE[TJwDGAInIhlkvr[THKIHkEeUB;]whavO?I][sWYevaHvQDq]tCMHVEBnyTa=D;KBtoXT;tKiyy_RZkfpWBFUrdMUASRM?EBQrDOUaowxmS_KTWeSm[uhCbUeD=SEheuugH=owWUeS;bEwE^;rhWYd;XV[Y=?FGeUyAwmSVZQyQUcO;SUCCy[Ys_SraYlgspwuTgyIgYEkwHaw;aBquCe=yXisGEfsMc`_r`OrfgtK=CPqt=YycEDjqVNmBxGijqD<khqUHbEhqyXlWy;acj_WGuB]ge<_BY[xWaCMuHxOBmORp?dAwgTSipsVHaEbwu<ycfmgo=FDyrOAfOwGVMIS]R`_EkGHUAhjobaorg]FEOHE]gDoFhAE_]BeeSC[g[IGy]S;uUeCe[eCIYgSutgSYXEeVQR\\]DPQSCaTwkfJKt>ux;GHFSWd[eocTZaS=_H;qyhqyo]DS[ToSgwAHZgd>sEaSwwoHycg:gCmgi?eY^KhG_VrUUL_gwodSWWwMrKQE;MukccFcRUAXYIEEiWbIeY[SwmbSqhDwfvmXYCsj]IoQuOwwTes^qHBKtH?wQicPwuSCyO[tbexfCyhWil[gdGi]uBGSuwsf:We>IGcerHmR]SiLUvFsUhCuT[Hqewd;FdMedOgCMuIKGC[iTgF:EuSGITYWWeTM?fxUgC[vBsS?kcAwWHgG:uhWmFI]ctwsFgbeuUKaHWsCAcc<=dp_DX[Yh]bGCOmHRgys:\\MphymuxhmxdIjjQWfQU>TWKaXWiQO=w[MS;`wiElS`v;QyhmV>DTR\\N_IRIUNI]xApQPuNjYrrYrJhs^uu>`jx\\n=TWJQtQ=KZLQfHyrdjWTNfHk\\EjTlpkqjExRHQWmqVJEP=AN?hpLdKPaO[XS@DRHpK=ASrDs\\XV^mtS@VGiMOTs<lpNeXGQLNamwxM=HydDpgeRPlOJ]WidQ=eLnXp;yROdxE<nn\\vb<YhMWGdVbMo<qkK<mnXSj\\UAEYRITbxlOQMdLrHPWeqmn=TZPy`LvbDTi`NC]YvXoKyR[pstqtjeOtA[RHxJ?eufpG^uFHa<oly^pphkp_uDAu]>vkPyS>qo>yBvqiVZgOwpxx_vaEotwa]qilliyAn]PqbWnjTF[;?pqavPFvq?vjosS?[dIfvIvZFm:NkQWtfhedyZpo\\=Wyhqat>^C^gYqs\\>wNiuQIwQXgIqs<?wLisY^ejnpHFg``vIQoto^kVnvf^w@xtIxs_hWPqGVlkyv[qp]Hv`Ij_>[LqbTAl`Wuiqrfwtahgyi@aTuAWo]C<gHdQCwAVW]hcsgTYIKGEjcuKkBiuV?GXoKRkYdqYbxUEZicGOsBGT_kiaYfZis^kJ>usQhOx=xEaJLqOW`OptvteP;QmqDjoTSOdwBIU;<orDMPqVO\\pgeluaKWTwvIrL=WVqsE`PvtwPIxFln<QMhmUgiUAtyEmSmEpCplsTsOqVRDwsxJ;HUauSgiPXxrjpTNXUdhO=Aj@XUk=xK\\JcuR:AMumTTLX>DrTYPvIpGXJ>\\OXulAhM;=ppaKsqOwdjZdwl]rQ=xoLg_FpOwvipbygjZgoG>aU>k:H^gYyRxo:XkBxfVgnOXjyPZIhdg_cC>hSafq@]LqiDXaFOmPwfNghuOpCAhAw]>pc^?h;Xq?_tWxl;Pl^Grgfhl_]eywV@rWxw^vdTPguxhO>_dOmy^heQwiOufvfqoaNhmtAsjNsMvyrQm>fx=v^;iv]w]mWjD>kEYxSAilxw]fgAA^BWeFv[oxncIaxosCGpY^rpHuZt`Ueu?h`sy_OCXUTZewwiXwixNaEqAw=wB`wR^=FRUCaqBO;c@cEZIwfAdG=Ha;YMCbocERAyZGYQ=h@qVxsl]XkAus<Ura]qcUWMal:UmO<tStxi]obPWVQR;<vWxQ>@NghoHlTG=Lfhmm@jotpAtLRmoM<rP`W@lSiqkX`nWhuUmv><KZPUOUNjVx=gojvpFFZTwebN[xQknVsvxfLhbwncK>fSvb`O_YImtokaGn\\Nvj>e_hxJhkCfgGhhvfZkHgoXdYhbJphR^kcIaFHxbgl=o[;xrDA^[AwIQeCIbjYfVI^jnnfAv]wtn?oMyatfnThZd_bGWwhiw>hncqp>gceur_ck[tNaHasU^SdToFRCTtwVQkTMayFMwjkBnguD;fkym`QTO]YhdP:pj;Xl[`yrMnpxMGAw]`LWuYp]MS]Y]Ys^<qsxYK<SyPSD\\ng@jThQ@PudMmgm@Tmu@ppTQ_=Pc@VjQYfQWG\\qb\\nKqxp]tt=mXHMCTP\\Lt[yWH@KrUK;TmDlViyj`ErUTMtIwCElRIl\\@sLdPZUY?aJJLMfHMNDPpXjb=ynxPV]Q`XOa=YXejndYnpN:UN>TWQlkN@q>dLolu`HXJxLVxQVMJPEw:=QBUV@msC@VGiTxmPOESmQWiIK_xJDeONuOQArQMpi`k=lPFTW\\<VM<Ki\\rDxxNHOdMmsqmv`t`xOKMRETjIDk[XsjQqnxu[<xVAM>YrOhRTiKPljdYQ<@yE\\L^ATMhREil]aUW<XBLw^hJkUsYDSGLjAHTuHLm=l;HRSHkAUPaxub`Mt=LvLTTQXaYqyDqgLjnxO;AmfqlIet;yKr<qmlXy\\XD\\KpeodEUdpo\\elGixxMj\\Yw@`MhmsxALlELnHo:ptOETJAkTptOyuveYldTMQYnEKJAviHTeHOBLtL<vLIps<TyIwCAXsAwVeYJEJmlv\\QyQXKOlUQ@v;qS]@va`m^]JcUrf=Smhg@awRfpu``unagyeEVgrqiHqcSNZip[GGbjppDnaRgaJnuV>qP^xbG^CnuCPeAvw^xb;akBix^nx^ioFA[rYiroZjHpdojBh^Rh]lHZ`vgDFj>AlG`v[no;Q]l`sVxcn?euFdFp]tqavwj=ai>i[UWwjptjhhMgek>lFV^uf\\RWrMWxk_ssPnb^oOPlcVqV`_eWgBNpaok_PrTnmlhmShdfX]@^`oiqK?eeVt`Iuw_m_vrgFuYobZasbpo[WrjpvMIsMI_jh\\ii`=OuEA[HAee>[x>soQxPGP_WBWBNcrFGEYaDXyh[WfW[UD?IBmDOysfuFV;U:yC:=H^qdJmvioCrQD;QUU=ip;xE]Bcus;ixRwGsKV`uc_]i@UtZKB<;f:?FggIVqcu;f?AgcyrKgS=cCNyG>SyxGHfgwuChSkCiaG;?fhiSGKcNGyMgIrWxf[heqwgaR<cdVWgcet\\aESkxfQG\\KWTkBn[WWUikIWvkXgqG^AFGMhJmtT_htecxAVtkyKCYH[Hbee:cDAUDGmGIQigur=ix=SCZqeYeFnYeICRTuvKAx]msl;iiwrjUELpV=PuYHKh\\WuytXysIPT@PreURQ=rNIreDvwiTk\\VWYU=ltJyRo`rIlMryU>\\WyesB`NEquA=rpqj]\\M`ej_MtA]qfpKw]l[mSYaWR`qkxOFiRJqxkLW:MjJHLnhxZ@t`AT:hS?tOhXNL`XOdSf`k;HWYlMPaVh]L`@omXP<QmK\\uFmw>eKPaQC\\osmpmaLhxXpemN\\u:@JUPQiQweawWIrT\\rv=LjhLM<UeMvlXrxEqGuQgiTX=x;dwTTJptpaIrC<yKTm\\HLVhn[xU<xVpUQbTKw<VXqm;hn@mKTUOpQT>IJJeuKhvKxJZpU@UQb@RMELFHomqTZtjgpK<`peEPA<JF=P_]JvPOXLMOXVOmKYyKXDsnQuhergyVHXV>hP`Qe=N[jhtBOw>vh\\yxLXiQW^jXp?AcJgdWWlfhdXGnLof@p^KqauqhOVbapgxn_IYlEQqxfmNneqfr`hvP>bIp_xAgTx[auYKrwkr^qhOMiE]xk?fC]TCUIjseb?W^Ox:uvk[VSegXSFf=SmgwquVpWwMqhYaDfGVuAH_=EkUb\\Uep;WO[iQoHBotAcrh;txYW[MYtABGiFtyiKWwZiiBgxjqf]KDx;CIubcGUK[UfOEYsrPefu?dJQxsIrU;V;=x@=CA=r@gUhuDIMx?csikerScxehMqtjIw`_hooWD?fGiR[GXnqITchkQtVAfhaDQuT[ec=_HMMfJUX[sXFCW_uBEaGuCilwGEaSuWh@QgemsDGi]eHGaEqorQWYlIwRaB;QusCvU]rEIxwkrJoXt;YYCWaMbqYXk=VsIFuIryUtm=Bh]rTGhO=CncFEQfZQI@_hECDuIv\\]rxHj?DTuILfhpq`kAUlg\\U]PrlQTPhVZ@jqerDMj>]qTIXRPlPMjlLTZ=MJ=XiLjnxU\\YXotXbimkIqTMPVuV_lmRe`^gqS^]:Wuoxw`i_FhdngZ^AujPk`pphfuvGc=FuVVyCgtnva[OjVGk;hpXhm=>wZg]_QhdyamfZhviovbCPiJHvk_Zcwdy`yRpwqYo>v[q_kAxjtvkofa]_gmhsP_tfWpgymNotx^ek^]Xw]p`]x>ek>]Xa]NPZiioChjqpZhP^y`tYIwypZXIeq>\\`_bihdxWqE?xq_ZfWtlNnN>^MGZ<whPhscylCVlq^j;auxp[=OiIF];Qu@N`QvmZX_w>eO@gR>wgXb:VZVgkJ^oW?bjptbh`equnv\\Twnjpj:YoGxl_Pu_gnZ>waYlgfuSPeh``?ntFPsTne`ixVxnraeFfatgpiObZgocNmDpok`fyIajqwJar\\A]@gfGwjo^ohhqlaoxwcIoZiivOP]hqmKi`sI^uA\\fhh:PjxXyVQdOApTadTnpI^amPa:G]TPpdxdMvbAOhFY[KVy>_teOsIpvFGa]Gk[pgdfahitRhq^GeWh`W>vTAnwplsGtrxxd?h[oaJ`uCN_]qxJHiIhvWFvPAkwNrNg]fixdGyOQltPrIIxuhchqtuV\\pWbG@rh@pyar`owuhn_XvRid<fwth`o^d]@lV?oeotDamhpn;^wWirAYipow`Yo;VmspxgH^[?[aqv^XcqO^rVrPYnmxaQ@pTO^OIbXgjDxo`Wlsy^=p^MhhYiisv\\XfihO^VAuuv]Xnwnn[x?uo@\\X^wPvg=Omgo`bHu`WuyXZPqykPjPxhswiGAdrW`pgZvxpt?`sgypAjOO]JHcnX_]v[pyqAonKvlBY]S`\\RqyKnqX>rNXhGotLnvdH[y`f`giLPZgC?KuVSIqSemQbk=h`kbjcd=?H^geqEBeuvyOf=SBTsIeiRPIVOegC=ToauS_IfGsbmyV;YoWW<ksd]XdWyLOw=;CLQSH;T:QF:qrVws>CW<;U^esRmubaRjmgl=idkrO?GSxlf=YUpjrXPQ\\JKMMpxL;QUA=OEt^aHk]X`VxkRYnVFoD?wLfdg`atw[NYeYI\\d>tN_^_Apj?yrOga?ypnfIPhVFuN@[QgjbV`nhdkGqWq]Fow<o\\yA\\QXogYesN^Q^aPhh@Xe]VhS`qcorRa`thgGanh?[LqhkGiOAjspnuV\\qO^RWwHVyIxgpOyqp^H>yQOfMqhcNgTXtYo\\LvZb?]RAyN`]l^wSieFfetPyDvscF\\ofoBNqoGx]qkHQZTosXPZhaq@Irqxc@f^:iliV\\Kyux`ZowmU`ZQyxHYbJp`XFbTQZUNtfWy=?uw^xEqgyGkgWygIrTnpQwbhnnjppt?]vHarF]XQ]ndqUt@SrUYBQMrniX=?ilOTtWIF;V`]RT[ihAc`QxegsCcSAGsUKFnwt^uUocr;KYw?H^SC@qWh`OY]LVhKEHTEtwX\\K[=qoUKplUZDjnXKAQSs=X;TXFEmDTW\\pQKTRTUvaea`pttarJphhApoXaM_m<Vb@?lPaj:QmHFgZQt_QsXV[=Nm@^gDXgCVococuFi_WqQOjtIggAejq_Lqk]pn=wlk_\\`VvHa`^vwDywQX[xY]uFjkfn@`w\\i`;nd>>gRNtHib^Q[eAjTovPWkHibjptSaw<ffVakRNth`r^QjKibtg`pv\\daohagBGm[_hgOwaYiBFbTisrhu^Hxs?ud@nl_vh>XoX;SXSCGw_sOiYBKtxMcYIs_OwJcdYOimCGAKIvcEF[WsCGGeSmMChmsm]fgyR:shIUWReSmqF:oRZcsj;cRORTwCroseoRguThEF<_h<=wXIuICRTwE;_HPeSegGYOfhssauU=WsAoI<wf<ofZ;SUWRXQYWqxBKtpaYFscnMe:sHqMVBUEaURTgWywU]mYcIukKWqUYIcw;_ByIDRUybEwb]BeUcb[ggOEHMVOquDgS@wXMubJgViagEgREaVGKtjayuITe=vG_s;;HeKHOCrTuYreGeKUEEu[OgUkfNmED[ig[weAbkWe<ehvcWEGDvgG;=rp_Do[CeMWMidocEPaG]EtF=h`SD:UT[cs>;VbUYQ=h@ixpmgtKFSiHbEb;;uj[g[qvWqiC?xVOWVMuecWudwB=xHMtHPn@QrHIxJhmJ<qsXObIOp<YrMnUQpZhs=ikfQNChot]MitRQdwDTs\\lXu`ouIW<xPC=TnhmSyvC`th<KLqXmTylDPm=WteXjqObXpdXo?]WSpwHxoW`uOlqIXuClnttm@`XXlv<dwniXg`nhAx]]YHHOOujO]SUimCYuK\\o?@Ky@KHqmZuJJ<toxwPaTuxRRlsNqtKDjSPuRevFiXBTMY]XW@ocEqReSmiNEtXc<j@XMp`mwdj>LtrxMP<u_IyfYw^ivMeWYejimKFqNqPvkpKNixsASaI[^hsAxjtXuJpfUy]AagQyvyFZKn`fhyaqwmYg]PlZYr_Vf[PwXxe[q]sq]>VgEIkeXvWi`=i`qPlhxfC?x;_td?mTpaJFrTQelAhyg`mxaSQfp?iT^cp_b=OfRQaGiycF]\\otNqkOhhKPv_XcK^pchvdOrthjbwtBXvSao@oflP[VcGwf@SWrmucubCArTow@cdWmdUOTO_hLmTOUVuAWCQvVoTk?X<_hYcYTqbdUxAWbq=wheSEOiMur=MXZ;XMuXrCtqsbm]HMWIi]cyST^mivAtW?vYguOKC<uXCwGRGXEMYuKi;ES>qSTuBnShugVtcYe?YqctDyBfQbtEWWEf\\=rhciv_TduHlcy`kVaOHTAuj]E`MYo=sH=gmOhU[UUKe]mciURqyfpMXI[BcEI:KRQAgxeUOWfq=bAQvhAXe]sHcvu?SQwtDMwC?FgUihqRoMTxMcUmcf\\Je=yuMuhXmQ<kVam\\XUFHVGepHduNaXYLyGauqXyf\\XdQsP@o\\yqbLqTprdxptqPd\\n[IOpdLJakQQrO@lLmvitYsINsYyyxjCIyuUVQaUlaWr=ouAYULd`WjThgphyafw>IkM>\\R>]BVmlpp=?cRw_rWhRQfTi_ZxjlYu=pl=YaeojLhwXi]jPZNIr?Nm`Vnb@gyAkVWbX^wMO`A>rV@xN_ZeSRWEPofVsR`QxY[GfydHSVq[R:QfxGETOF\\CHcsI^evbIs;IU^uh[EC[]uoqViqu^[EZ=XxAcZSdyWc;kBGMbT?WDQea=TMSWJ[HVSC=ME@gHtsuRII>MCPIYqwfuaew;XX_SGGXaub<wheiEiSdm]sSMGG;BSABjkRymg^mi>mFpWsr]SiuRIKYGGDt[yNoR`AbamRq;G=UTEIR;kSZigv=RHKbooWJEHJcSMUY:ivR_EhkEG=eeecCWDuOInuBNIScIBQqbgAvHYyjKbnWEkUIr?ipSvZABpEU_AegAvk?ga[uTSiW_egqy^oujUIxUe_]wTgtlQECws=ie>wGBQxTCCi;Wy[GVEEPUtf_UfQfi;ToQCiWsT;xK;UeaweMuQOgcmY`kvhwupMG<tyJAJG@qvTQa<roiUC`NOtr=eQ`<uJn`U^tfWPyw<Qup[BeeQRUU^`QFxw;xX\\ul;akOYNZiwnHVjyq=TloHr?twqyS;xPPir<aobhTD\\NB=xKLJp`jFHjTuv`xN[hP=@md@nbAPaDWdptlAlF=MxHOFlT>@QBUtDTR]hO<UqdQWUmXhqRrtYNPjPUva]QopUGTRUULOeTmdxw]Y_PJO<tDqKYXp>hPx@Tu`s;LUcIrmaMfHq<XRvqPuapEdvOilZioTpUSqWmYxVPO^enJEXdPUyhWJ<q[xNV@RMmpepvIHNm<J^DRx=uH<xIQw;dJbMsXuoiXnaDmPtRfAvZEToPtbhMZImXYJDQnp=mNQOahRUIms]KceLkTQ:]lbpT=pPEdVGhlJpMCmw?mUWukUqn?ItSXLQQxdyl@TW]up<xRLduyqTvqTMAwHUx:MJxfpTHki>riF[YXw=^[XgyVPrUOrE@x_IxGo\\ZhjO`pLGf_X[PnrpiwhFvNa`]Paux^qa_nGw\\n_nqquvlH^aJIZGQv]?fhHfAqu<Nx]GvlIjSOebW^H@ibXusO[;``V@tpphIHkp^nS=pyUAppXXaqSRamwhK<XRuUl_uWGdU>dTldYnxSY\\pFly@hU[@sXYMJ`SX<yY\\xYEJMutGljSEtefumybKXoCYbxOh`fZpHq[Ygs^uINuty]:>ZZ>ZCSJcDjKRf[CGUbkGuKAdNKiHovwMTZcctURcaylqiS;HfUVrKBo_Sh=E`QwZub<cHL[bpEweMYYSEJ[i[=Susf;QeoeT;kXnuF@_HK[gOgEtsBXeWggTm[CcMGfGSH]bK?vaaXrSuU[y?;xfCR;gBUIrJwGZgw`ouj=CGeRwcgRKrRcTGMHHghOCy]EWaUeYkiG[yK;eO[bMeBIytKYCDOFpGGUaTS]TM;dnKF_itsky@QcNOi@Cgw_CNQW:CRCIc\\sfroEioCYQCo]D:UiPsb`ydysW@OG;[ucOwVGDVAiqQV<gHJ;rT_cZcw_;ysCvmkg>gdtgyWwtycbTsSMQyqwUXSv;gw:qwL=WYitEibnQsyEcVmvC[H;KeI[wTYTFkbIUSukVHqe\\;wKIsIUUHGFgwTAuYO=V_sYuwcqMfOIChwwVWBLyg:chumSlGFGqHUHu`=w:ewrapyQkouwXiU=hpLXxa=ti`wk<xCXVu\\YlQxH<Y_Lna\\sBhU<UsEENZUyuAr_AJFPQ@LUq@NcMQTMV>QWR`lCUOZ\\sEtU]=TIAOF<oDMmhhqCQq<tZLid:ad>?tuwoNgZVatmxxM>rUyg?uZysn?emcE:;ybYFS?rTyvBktX=b=eYysDbOW@sDbOBBsr=uIA?rfyv[aRbyD@;V\\UHUIS<uhcwi=ObIEV>qTgkCEQIqOeFcfKYU;YXwuGbScXqvv_yNSUXMGowHVMcSqf?IsOYUMYCdkBgeDdoVtYyLgb:sVPuR_mCHCr:sX@=b=qx:MtE?TSsysCIAwr<wDZqtrysVQcGUgS?ylKbnwSoGB@[wpQWRCvWGgY?dmgtbeuAkCd;h`ORTGI_uBISTNeSeMgfoH=cEOUtbeEVauVei\\wRQqsncXAkbn[CeMRosDReDGodTOwC?FghY?<xoqqS`JNqMiayt\\UWix[\\QTiwo<Y^XY<TN^IuJpVUjkxsNTYjDryeMPAp[AYUPvExn;yn[UKraNmUQ<hpX=xcmvH<ynxsH<YsLlt@sXyMr`KXASWlJmPyaTPtlk>Tp]pT<avnAUB]kVeRtYuCDm=`pm]O:=tp@PfeKFhsT<KCEVDMVWmNPhS?Hq_iyPIrjiKK=p\\xwtelZixHlKoakeURl<VZqnj=SGDsNQvJptkLkU`rnejKTm=ErK\\mGanrAlrpyYhUP\\qsxOfEKXAWTmOk]sZDrmYm=HVU=x`Utp\\wKit_eUqtq\\mJDlLKeNpLqBHTBAr<ivcDUB`YV]uS`V:hOwljeHm]iRhAX?DLY=j_MutEJ^dl@uY;@VgxPNhxyQrcPkPAOOprheUDHy<XTcAY_TsVtk`MXaPnyqMEmnQaYolwmMXPPQEyUJAVXMPVUjb=N;DskplnQLS]y=]yaPuxel]yQ?tksyO;ioCtmleVd`kDQUg`rQ=va`jI]SaYN:pNJUvjhpeeM\\hygDKy]lltmXDjnpOGeKC]Xoixd\\nc@Zewfiow=H`<O]YwsM>^aw_OWtl?\\^hxfAwAolhAbJp\\wawi>x^wrc_fuxwN>cmnaIhgmhs@f`Uaguik<QmqWn`AdvGvnFmAQwTGt?YdZYuZh^voj:h[qOZiF^ZWyvV^AneF`w;Vp@^_a_pUF[`ab_@^RW]FVh]vd<yrbHjLVgpnc;pp?HveHffX^@n\\[>gMhpXxcqgjDac\\feHFcn@ek^ZegiMIfZqrB>c=?t`Xqi`xR?aCX_Yi_mvbKHaaAlpN_LAnr?xEIuhgdp>rNPqw`fRwcqIuWNp?NqfOiSNhKadUQb\\ilnFksvv;qiY@BUrE=Xbwua[Uqege;ULGCDocAgYDCbSuG;ICncBPEdLmg]gb]iFgiTX]ra]EyEyami:cBKwescGLqgcOXhmDguOoiRr@LmIqZDjg<Rs]waATiexE<Tk<ymTsr]PpayIxNy`JYqrwMovpnZ`Xo]ra@xbQpQhSQANd<tHxQ_PuCuo:isrySrXY]hrfhSraJvlvw`KqpNhELdTWoPLuArIHKUhxR=Q?Pj^DK>pOLYYamj:imcUMoXkdHlJyLHDMVEntyt>iLBDwYQQFDWWMQuUmPIm@YXR\\Ls\\Kc]Xd@RTLUoXVyEJnQwZyKIepwELh`wXhR\\EtdQNBUqMpq>LW>eklHNGqpydjSIYNaWuiU=QMpXpQlsJ<U]<r`@oeeRQpScDY_@JxTsRIRZdKUUsxhSBUWKyokpmbtTcAU_mNyPuvAkO@p:dpruRfppXusYhna\\s?yoQxj`PrjiKwImVaUOMUxlOgpqbTYFdPaXm^xNyeryyV@`V<=y`APwDQfPmAYkupPt`Ym=SP\\x[DssEy_QPM`RPtqXQMlHJtuWHDP_iOMyvO`VdPsvqwxXmK\\ooIVhiKmhokQqFHyHaNpDseTle]kgHtCPukAxg<KPqU`QX\\hpn]qF=NgaX>yN^hmC@yNxsWpNsxmUeSwpWvqqDuJvmJXXwX]J]MtWqrB<tb\\nwmJdMtRUTldUndOY\\yc\\tUexLtUqYtR`jPdPFDWQgi<NntGnRQwffiS^csau^n^A`]Hwu;@^gYyri_ZosEpniWdsFhm>iv_uAalqfk<Ou`fgs`_kyu=oxR@yR?]LqiSpp;XcTXiaiof?gUQa>``hfuVPfuQhEGnMw\\iVl:Hqavp>GgN>tN?COVaof`GCluxcWupAwbYs:MU[CbnoDRKtpes>wruoS?OiWyUAwUlkDUAd`UeGKWpGupYY>gHVYgrAGjoBfod>odymdsgExsR:qTJmYLKxekSLgXGIDjgH==rpgHwsB`sfISHOKXAYt?Cdc;hJCBUAUAAVRSbZgWnmTf?DTAwsOgFcbZYgnoSjeWy_HR;iKegN?T_DMXlrJ\\oois:@xGEv`<JMDJUpNE=MQXM:hWeuuf=wwHoi@JNToFyr`alwTJvIPjunhXQRLqSLuh=w=\\UdHYC]TC@rBLX:DjHxTZhlLqS@]W;XTKTURXVjdJBitDhJKum:xY@Ys:qNGiveXLRLLTQOYHTcAjI=rmdw_dKNTm^pq>tv\\mQ;Xxktmj<V`=SPTs:@TsAlI=nXQsQHq>tpfMLTyNLxU;=lphrFDWT\\Je`P\\Lj;eNKlWLuM>DWUHQJaPhUnXTplMt`<xRXMfhqyYyMTj[qX<qR_Pt@Nas?tMGrlpvFqijYxn`gxgmTgsZygH>qmqp=NuxV\\<OmoPi`XZTwvHicCWfQI]OY`<FgW`iFghAGpgauU_bWomBNtFhhdypiyn_YnXvwpqZvQpHpdcFqqNhnh[coPMGmgUYohwIFZeCuGRIqeIYBiqrGADfgH]cU;Et?WtZYujGIt=fEMeeUsyGRE;Gr_XT?rT=RwqdT=BIkbowv]OY:qhnaEpwi;cs_UdC;dNCd<mvAuVLQe]WS<IWTyCvgrlAhOAHvSG@Kd=qt:;WCOXOYBSKC?OS:AIocDogSP_BheSKWwMUrI=uF?fhws@AXRQtqSdUmstGe^mGd_S`qdbqgFEckeEDAhuwu@;wlGF>KXuiW>kYR]bX[riMwFTxWHJjEop\\tgUUu<yHyy>]r`TRW<T=My[mPOlJdEyKUm;yQwiLb<kXaWHuo;inFDlFUJA\\QMuU[TtmEPU=Qc@sVxWGmPGPwftMtHMdinnIjDHVUhp]qQO`Se\\TvULqHUexNDquRlxVyTAuW<PQEXj[QuRhSVIXYlS\\xx]qRvqREAQpDTx`pDIsU<r]DlhYYeDV=pmZHmWqUCxn=lrwPUmmVRLjntjX`NTMv]iu:EMoLYaimF<okTNLLjXHt]ytjPmpxPQu_Gwjm^ZgWiD?nEvZeO\\uihQNuHiqtGZqg[La\\eGupi^hWuYxtiNjuWnAWrgaws?hy?w>V]LagmHbGq`QqfI^^ri_=Qe:FibYfZW_<QcUN`y^Zf_`EnZwauvYwq@jvQxM_fXVZUPuC?m<fqOp[[Wyta]bi\\WYZGwh<qkjN]UvtmNquphxifBNuPXnp^uk>[P?^bWvLhlCQcfPebQeR>mw>ZLWbMghjPdloebIhe?kCVygXjji[K?vbypXXZjFcN@\\PWdd_skHgt^xBApoxe`^xXA\\@VutIa>FpiO`Yp^=Wpdf^i`mkncGwZK^gAVrp>bUaox@hBfc?wjcWvJybsp]E@uZhglah`wahfJyvLUdVwFIidfWdeQx]sS_;xDeteahPgrfmH^sg_iFXCXH]HZQduEvwQw_sb:ivrgcV]ITgvxOswkitkV][tS]D<st@qW^SsXCSdYCQYvq;wDAGBKth=hiiT:;btyvi=siof`=G[=BiotFACrIWTmfX_rSACm]CjguuSFDkwFuUigcnCgK?DggehYg]SerwW\\sCcmv;KBuoxXgbheebAGJ]IigyGqX^Wf:UXpiDeuYyeGUQtnGFqmTgCF_AvhiEnKExMUy?DdmRIGFEiWBUhGqZmWufIdYxq_?eEy^ihiNfhgdJwB?wDIAGjobOeh`aROUrdQEhAFN=VUQexWBlQGHMRmOYgCeV]UtAi:KCeeu[urtMgtgwRuiMUwFOYj;t`wfeAdSoUUmv;;S?CG`;rYURekGE[IE;FfWUCOF@qV>SXw=DNiWKAfH;inKF`AHhEUZ?RkAr@wyYiETgBWMh=EFq[HEWIhsd@MbsKv;Axf=WeAwAsb<Yho;WCKXJaifuR\\KhoWw`UlrlMShK;HMwEv>Lmlxr`qoM=TK=Nyxy@<xYuL<dJwyPRpJK<pUYYaPT:]OCHubHrIxvT@VbTMnHt\\Pr:@JPAMOTov=y@LJb=udLvp<jjDMh<mmQok@PoeXfmPNIS\\xtoeOxTM:Ao<HjZPs:@RSUYZDPFLOM\\M^EqAaWTEM]qteHmVMKHlLjQWGak>xMahVjtrp<rVTJfePa]R=yOMytcloMMqxqsuEWTiyiHt@pu=XNAmP;Hox=o[Pj;PKcMOZHVrTV;poO=te\\uxyXL=OZhTWYT?dPAdk;=lp@JhYkHxtO<uMtNfyJWhWp<?gwI?Be=uDwsaIFRUCZAVGeTQaXRUWHCBB;ujuiLwb:ggSeyP_VTaE;QEAgCLcrS[w<KHesT:CID[h;GBTqT@wg>kX^;wT?hO=HjSWJ[f@ggPiuH_f=WVnaFnGW`=Wd[bauxAsBKuu^Cb=cTpcF>eBj;imCBr[BUQEToCwWh];VUKeDMboqRq=grAi<;YZmG]gg=Gg=KE[AvAudDOw:oR_ERZMYb[e:UTPkBGmWNUrbssvIBSAvYotIKC@[VmMHHkUiYeDug[aWFqBMOy@It>GCFaVMOc@qeyGRl=g:KX;WXUSCmegSkhQcE=iTOGBgcXAMVrCUyYR<mfhqBweH=_GmAybKBheiXGV<giTUH]?D^gfmQsU_rbSdfWWnmRy=ysMYTOD]yF@KiusEfgbTSt\\=fGUeJwYtywoqsLif^AeokRFObYMTPCdTmiosBIgFeqYVuIICRTAIU;tfUh;hYE\\WuYN<QMp\\KferaYxc\\o[pjaiYK\\pOlUrTr:QuSLP?imJ=RwqL>LtnpkHmPeDTg<L:imh@QCpng`K_mXreV;TjUluuXQ=dWRqtZ<XUUkTARA]O<hPwlrGuSvQsAUmcHjrqVo`SyTw`]JmeYJ\\tgETZpkADQC=mPYRIeR[DU^PJKHVq=U@\\XCQKA`uj`SMMUClLRqmm]RjuwkAT>mn[pKb`O:pOCiV?QJ[\\psDX;Py`PT_EoblNEXXCMp?QvEUVm@rmeXy<OU\\m_\\XiMmMLuLiTGLl=AvL]UPpJOexPhj<erBtjclMG]lxXRwqQwll>ENeQWvXjVTnHQjj<qplOMiROHJwiQPqSF`jUHKSLQfMM\\=tdtUIuJIxY>MToeWdQYlxqAasb=qwdWWpmjIUEet[TPhqSteYqisR<kZdOOHMFLJ<AMpXYahK<XQmtTeIKrAmgEKneNFDjuTXM]KeAwoqtBxk=XQEplKYXVYnF@RWDPTlYHES\\LOTiY=Xv[yrnHYZty?mjTETM\\WBUpGqPU\\dpyfJwtDh\\Q?oD^Zd^o[Wxi?uFN[hNojp^=?ZXPnXF_i`mH`]gokZicgi`OqsUgjoplTPw`FjFaZGwvfxs;XlQxc:WoaPe;qc?icdP^Jw`P^un@ulnaYPMkYBaCUeC[IUk;vZSBN[ss]tFEsaeFKAB>kIeMuPAhn;wWgDGSu<qtkUw?MwTkyiuXrMInERZkdUke[GB\\uRA]FqueI[R^WWQIxVmVN?FhaSNsR`wrCgEIos:?roIvjMFtStZ_iSScpWxjwdy;HM[yO;I=qTRSdc?Ri_W:wGxoHaEwZuBrmgDSblGFHCFRGhkkWGOdc[bXMc=yt`wF=iGYCdC?Vg[EdkR`MIAgI_eE@_hiUvm;yVSW]YHZosvACroHxSrlOs:OivoX\\]DvueJosF?B_]ThkRSWgVOSysTIGUnkffqtn_HakwHeERQWGAc;we`wgOmR^Oweick[WqqSEgbYmVgOVLihjAhpuW<ATriVhQCgAIf;gWYEyKBxEUn_D;KUOoBdeH]qr:yScSCK;ewQCqirHwbUIWYSRgGBM[hUIW=Megmh[yI[wFIWsoserwCX[YhIHrIvuWEJmiZyyFUEOIYFytxWT@YEa_ICew:qtyuiW_IsMxYOuYSrTwXMsIrSYHod^Gxg]DZgxwibQKxo;V]eDn[IQwXcacpQUAkHtownercMBfmvJKGWmRsCYsaF>KFRUHjobpgUQUbTqbgeYrQSMeh;?CAAVj]bioHNeD:SteAVA]GfECYUFfoT:;rQMFrmuk;DpgbaGIg_TZoGcQwBovhGXi]rtmyt[FxQeTiV>Ur[?soQuYIcc_S`GfnwfD;GIugEObMcyMIieAV=qsFwgUgfdArR=DMGVxkg^EXVcV@YW_]BNgCGAHYUdlgW]_vB=iJsd[MuYgeiwinKDdkR_=W:argUgf]x>MTN[UCwSqcgMufIosEObeUDPYepYTiGw[arb]BcUwssdgSUxOcWcWdocvaYZmv:ewXautUXgogHGXY;H?KrTUH@CrIWtQUe:ccYqE;etnGFjYxfgdviXj;hpuW<AH>CWCqBOcS?_hK?xmQf?ahJuFpEhH_f=WBxMUsse:SUg?uCkfygBe;SeetdgdwATvyHqiWpuipyemWWYqDSodwKIrIS:wEyWBrsiY;vpyXpOfpuh`uC`;ywIGeMGfgD[;ImiWfySNWGy[Bg=EPQChkvc;h@YFOUhtisCYgmcvtmWp<Lnhpbxt<DrTIOldl>Dwq<UG=SrLVLEnshuFPv@hS>tWRQrO`rupofxk]=lUyx_xp]=Ropw]mW>QQh@RutQ\\dTO=j^<QRdpHLu`XNRUkTuJfEkcTwlHT@uLb`wNekemlDErktO@PJ]=rTAWXer]moGXyf\\KhIsLIncAvSPLCdV=QtsdPfHSl]LsEY[lOW<yNxMteXAlmtXo>hv^`N<DWKQmTIWDEQ\\`WmeX\\QQbXxk]PVUmrpkMmtXlSfySpeqK@l@Yqhdk_XnFTjIlMVHM=dlMqtbutbIxx]KVQYEET_eK:lTemRf\\uXpqDUjdlX:Djd@qWyx`ATDdTmpTbEXhMypQK>iN>IrIYXQHPsPyniWdmrIPRJppBUTLqwUDMItQh@mI=nGTqutwIhmbqLZHeptduy]mYdAu@QBRgyEQvIkBemex]fyAGtsT:=VGSE@gHvIcQ[UBYFiWBJ;h[ycwGU=oV>eTemtZGInsWJaUMMsHUGJqb;gCIyhfwt<GrFcEUQUOYWCsFekSLGg^?d<SC_SiJ[fWSivMDTUDOiSAsHCAf;IvyYI];bUYrFOHwqGeQB]OgcYu?sVHCbgCDecSEiRdxvmtJ;qpBhPhet;drPiNmxQ^qR`PWEiV@En\\YkKEpJiJhmLgulZAy:hXJ<mPdKalJfXPwllT]npyt`ys>ao]AvatYJQQjyUMdJ?DpeAQCYsOELpESllUa`kZdoy\\mEXUa=kkUJkMyH\\tDyRiXjtUk]Hn\\]stlwvuS_Dteiy`lYW\\Qk@LIyTCHnKejoHSc=TamWy=qpDktPOeaNH\\jeIKcPMVEphXSetLcYRmDO^xyjdWotJ^elieo<tkqAwtXUiuoLqpqAmk<M;MuDeu_LOkdv``LZdooqvj<ycmvDlQsQP]PpWyP_]J?@qsXSS`vCQstHXnDPgySEXlbMTW]oVhkRtjZdWXDjp\\uvLVaTuJpVUhWhIjThWf\\nk@X`Us:yYv<eGynCxm@Vg>^]Jybfyk:hoZQbx^vY_s=?pP>bZXk?h`oXdfoeyHaA^gVogUWj<ab[gwN^Z\\Aipn`pOcShrJpn=QmCwp_w`_qlPi[e_^xWlS`oXwr@ymSgtsals`i\\_ghi`x?p;voRNmOPbSWsspjgAfnQebWqx?ZVNkHgpxi_BI_I`xvwrA^n\\>eey[anZLwpfWsNOotimDHcmvkTafHHlYVMwydqyJ=HrccCir`]SvUWh;FYMIvcCvSdouthIir_HHEcmsF=iD:QuR_HbwhbwIN]cGUFa=gQ_HJkGAyfd=hAKBOccAgHtowdavo?CJAwuiiP?hP]e>qDFQCTkiYchamC@WeMqTcyU>UVfQuYqTLaTXswHktXYwgGwc[xR]cuQT=kH<CW=IvAIeEiCdCeliG;UtuqfF_bYODQ?GEIyR_huqrGGbYSdPKDOacfySZcWv[uXExkCESIwk[b<KuGixYKr=EtiGMGqPUamRhU<MsC\\ncPkThw\\ay]ErTlW?yvDDrAYtQLkHyL:ENd=r^aqlyW^ykZek<TMhAsN=U]YsMDV?eosDWR<uHEvPEXTuwJaSjhNmYSFLs?TU:DTnYpZustaMrLXsaJjenT`JguMTqoImvJ=YRDjVeWNakoxQ;HOWdpoLX_\\xHak?<JxpKbTUuYTidPOeJuXnPURQ`kRdofULUmKChOaanXTwZuyo<KPqJlepqNcnF]EYccvx]>\\;Nee^tHorfh^G_dAXdP`[o?co>x^WwcodSPcdFpaYxDotWyq_Ghcpng?qeYfdwllytJgZ_YfQQ>qBJ;Se?cYUCfEsakwt?uumBFYYjktHMViGurmYo_hQOxTSRTyxMqTDKs?EEd=r\\QU[wwf?tHEvkcYboxW=VyWEruEFCWqwVhSVD=cCaUcaGFCWykFhktdMrlgc<Mu<KgTGD_cwQMBc=uhyEpCT=_paxslHNGq`SQkTgxfPaDImGvgyxgeotFFrQoeXFjoPvlP^<VgxgkwAryHpy^\\ZHiFVg^veQP`RAnSWr:>a=@rgHi=pf@f^D^\\RWa=f_KaxNGaW>jJQdChg=Y]oPoQQZHO^BX[^_e^`o^^ttpeE?aPGhD`co>eMHjm_e\\ingomdgjZgw^FmDq\\\\f\\Xok[go]_hqO`gh]TAkUqw`qjENmHoblWo?gn:wwnIrjh_dfr?ogoNguXnQGbQhxk@lUfqDWqtn`?_ZUpqQXkBYlFVnwFaOOkhwttflIxouF\\mpZVprSHpdQ\\xao@`o;vyOXZ[@fBQ]hPn<@soIunFa@`cEOvPAwCAhQh[>PpKVgVQdKak]XaU^^kvth?kAWZZOoQ>cZ^dPq]E_nk>kQW\\bP_PwfpfiwgwOil``xWNmEP\\SgwSXbKRcKbL?TZ=g:=f>ygGAEHcdmkdeux<YvgIvNeUuYylcGwqbAahK;CLqdlMGS_sbGWqySSSBqWDM_b]SIiyEqkChuGTwgsOIkQHIGDM?ssKGQeY>sCFkYOUiGeh]dp;dC<TuyxbpWpPtpYyoXOQmoJHw]ykylSTPwDdrP=YXpkDdxA=r`PrT=Jd]NSlw?aYgXxM@mt<nf=jslwXXUdlWKeLRApoPREAXuDThXrTHphuVe]pVujo<La@oJ<RShtq<LalvOdWqATypRZ=VP<jn=tNXNCMVXylk=n:tXxPOEtLb`n;yJXMXj=rD=WUpLEtj@\\o<TxCHLvmndqorXVkLQvIvEDKVUPBlSFLUgmjgTrk<RRXUGmPNuLZXTiaVD<RaUvPUmZLpn]rd]JeUjZ`W^QWqHVG<K^hr<inritTXmlpu<HRJEPxelcYXndNBiTVIpIhNHDjiULPMXZuXoitNLPgXxKALrpxtMkH<WDIPYlms\\kfxqkdOSuScHnWYKx=r:DkYW^H`gyYrFhfFo[oF]dvuUOc[awiX^nXusWg`Q\\[^jKhwLnr\\>cU?oQfqaotWyah_aVQenv[hy]mnmuq_xAllI\\:ye^?iZnxO?yxguF?oWyyGVe?WpGq`UbyeGRGhDUeWsgpYyA[HPHskEpsqPkij<XX?`MfHl^=qRiMtEn:@JUlTQaNOmxLMQjqLGLm;IwEEY^MS\\UodyPMAp_aN=dWfPJ>eTmDs:XVlHJj@qbAPbUj:mwBerCMPomJjERbey[]pW=TwpThDnhARtmKnxkdIR`@uhuWrtWdhyCQjEqwxYOZXstHnJXk`PLbiPydodQlX\\MJPjZeWj\\MT<qLuOidlt\\jfxQLTpLuT`AqKqmtEw_TodaJdepBlLZPxApo<tyN@Ub<MpPsnewxDs=HnrlWOpYQ`JDeUcAsO=vs`PPLs@eol\\v=UlG=VRAOCpqAXSkYO;XskpPxeNNYmy<MdlNf`v]QwFTNMumB]n]HOi`N^@XjEsXusOytMHnHyQbqXQqn`Tl_iX`mKAXwMqleyuatNDLMCxUUHPLlWHuUDakJdVA]Wd<rpIr\\=YZMMGlyqAY]]lMyq_XyatrUmomAMmDJdtlHINaiYZ]rN<qsPx=MvtaYblXd\\vaqYHdpu`qBmY>=oyuXpHu`U=Suf=RMKBTGtNIb@cRaQcJ[gsADRUtt;U_wUI;TVIfsMcu[hsURymfA]dK[f?;wjorN_Hdef:UER;fg;dbwWtIxUutemCAQGHUDoecKIVFCsy[F?ktHEdcWHQ;gHSW@=gmsDquV[ewxqYGGi]myrGxVGV>oF<gh;Ss[WSTAHBiRMUTOaBCaCf=uTQGjmbgAXFQC=ERmEs>SVAYVM=FjexJ;Ik;I?QFOubf[XemvISS;syOSb[?VrcB_si^MYXQfr_DLSi_CUF?C_ycOeFN]wNiWTcFGcbECxckFqYg@SWMKTZouvGFJEHkebl_iDWXYmIS?IFkiC=U[_GeOveCEBMyuUFdQuNMC_eX`ETqcvoGWEAyK?fdqIF[vcGByiha]c<wwawG[qBG;wUYw:qxZahk;x=ag^cIySe;eSu=F[]INmsWwFboR:ot?yS<Os?EcTWgmIbKGC^QIxwUsSc^KhggIBOGbEBD[f[Ah=sXyqGgUhGqHU[tdgf`Gupyr=[HecXGytMyb^;r_OwTwGoUXEahM]W@?bgsw<EBVGiR=f;SeDcFd[go_WJ;foQxfAgD]CguFEYxB[fW?VZgCUYtbEUe]tHgdYoFJqB@cTEAgrGEEohEwhASb<uFLewbqYPmwLQUwUeBwcXoBjuGTubQgylGgFWEsKu[cHH=YGsb\\Mds_Vg?rdkS`kdN?vrAvO;DrOWbKbogD`sXa?D^?RAkDyeBJQC]qTjuvjsDWuv[ugn]xD;xV]INKs@agjcr^gHCMfhsrECxe;beSY_CUOyIokchgrJoHVkiH=UHyrOGbZ?EuGHaMe\\eXx;E;stXaU\\=G:qWpEYPqekKEh]SY]g?QeciTC;Y?ew[GW]ED^gGNaT;UV?IbASD`;rISXykH_wuZchAUvaSrIScaUfouiL;Tu=W>YWjiyDGU>itSUYjaTgQeg_TncxiaToSEVaWmgs@>cmHZGi_ZWd[gsI@oe_`m_h:WfYO[X?wuGtfHlYNjoPbbokZhwFij<fgYq\\BNujWaoG`YGjoVf[VhWIbR>eyH]=Q]BNcR?h]WfU@jGwy[F_h>tP>h^PvnFmTGjVfdOQe:IvDXd^O[Z>_ufrfguhpeE?aRGhL`cGAZbojJXjSVaZhe^w[LI[a^n`>hAWuYVpN^csHuJacUi`=IvJAn_q\\h`c]osonnBOq;ghL``:n`iy]J`aVWqHPjr`fXindanbQau_oLI`CAvs@gRNjofiyq^CGhjo_xGqcvrTHg:@jlPnvcVKww]IVUTNQw_Ktr;hiWDPGH?=u_Utk[TROT[kwkGeNiDseXTQVgAuomuYcBQhpREuQmvdlKv\\Q=pVwyqkTNCHjilyVMweyj`hk=XmmpLbEW>]kZlxJMr>]JcUXSHj?\\O^hN:is?yMcUJALWI@YWlW^`s^loHyjAtqcHJTTy]<sbmryXT]<qSAx`UmgmPbhuo\\nSYJClyr=j`Ljo\\WRltDtsOTRxIYP<u:@rTljnpvbMopAjaxOdAt`]Mr=n<DTe\\JjuNitxqArq=J:<L:`N\\@Nddv;=V=pVFtNCAxnPJh=YEYV@dpGTum\\ke`l:QMteY^`M;QUwqLHiUZ@WwIVnhUJDO=hNU=Og]XiqXoILfhlYPNMUnwEoN\\oaek:MU<MJ;pPKIyyeuLmN:lQqTvHalcIx[XsZ<P_lKH]KWmr:QmfMXsmPImnZ\\lQtpFUJQty_Ur[@V>QPE=o=<pb<oHHVg]wl<xFMt[xwV]ylTkD<K`IJ<LmE\\XlQTbxmrLl:MU?MrLmV:Ajf=XoMkOdpAqVHpjiungLtXYpthwOypL@nHYYnlnfQuUISTIXdasRTKQyni\\vLuqjMKTPxtpxU`PZyyuIUmaxnYM:yl>PYbDVL\\uVXmb\\MR=xJ]ye@xwQvIdlN\\Ml\\QvLVd\\viayVlq@ixlUqw`vP\\nsXJhMNrUpy]RUqV=PmGDWheQ>\\wKumy]S:UP<QMp\\KfmYXpuJ=UpmLvILnhvYXO\\<p`DS@epFmnJqjP\\ms@UB=nGToeMm@pr^`u:AppMj:QU:TtKYo]Lk;LU]<WulTXxR`POG`MO<rUlp]\\SsUOamXRisgAkTmN:PpaQwmQwWTofhM:Uuq=L:iuYMjwDQBUQV\\q=Lj\\LY<yTSXQZPwMPT;\\oCQrNiMAyjhdRjpP<lSFTUdMT>QU`tk^tOIargdtNENoYPCyMk`L;QuB<ORDqNinEYLF<pPaPc]npMol@y_pVJPpjEYDPTj=MOERZ=nHAmdYJYuyMTPAQtiyxn`N`lKGuSTXkamoxik<DUWxXAQWa@qpdY;pMIpnXul`QN_xvdhy`aJrHPmYVw=X;ppgdYydpa@Osms`qspDRTewk]PwprGhrm@olmPLprYhvgayFLJtxqBuvmuQ?hoAgdUNTEvG]xfih;ispSENqy>=d`efPGuIKbysCZGIMutDksOSWjoRNeH>[WsuvECsNMV^IDF[W^?YuOvPcWCwBX;gWKhfKcKSVNMF`_FMoeV_S`;t`KGicX>CBVUE_cGBgtIuBC?bTIEBKDhuFSodW[RJutHGBmsvyCS^eU;]DVstb?gWkRJoxfOBeMRuag>GI>_WDUC\\OgheGMGgE=xN]uLCrbGTW[dlyRhCByif]CfZ]tLkCjaFJsTX;WT_RIWULsiRuskohZ]FNgcU]wN[sFWfBUE`kcPqUQwSS]BoqVMytOsghKv[WcOECkAWJIekAxGah?Oy:UBMmEoSrZUbqmv=Yfm;g<mTaMyr;ipqwvcWWsHb=Bw_Y^isC?CLqvlEwo[V@[tXkelcBh]FHqvM;De;fpAxrwt[qr\\GUneuwcTjAsBIWTYyemtwiFGER=AdpywXctc]YXSuIaWUaWJUyM?ewybgUBTWIdQE?gHiMfpavc;rPwXx?c<QEhqCSwgKUC>[WawGNKrckr_KudGfyoHwCYksE<SErYCnMG:wfU[B:IhEEYJQeW;e:QvI_gt?RUGGjotFQH@cct?RUWWjoFD;YaudoWRUATRUWh=TGCr:CenERuqBg;v:ifMaVdmC^wD;QupeBPqhmytCGr\\iv`?rPYWrwvmYhNiBt[YK[B`SwjYXlkWKsgNEbeGb<cT`abo_spkuC]HpWwf]y\\SD^kdHwU>kemyR=EETOU=Qeh?ho[SVSCQSDL?so_HRgIP?RIEye_T;SgqIvR;greY[?H@ewCGe]AveIWmiB=cCbiuZUTi=vsQimkFJgyyWekIhpeSomuX?fe[WyueeGGdeX`gS<WwmCUQmFjcdn@xBalQEvtMvApvLHTbmyKHXMEvtQnS`JJqqhMuDLmoAnhisvhUYPrPYv?=tuhpI\\WulTFmloIwMyJhuuxhyYuYpUujqVUh;aWuYD:KeKAXa[h_UsP[BeuV;yuMYE<;DjGvXaGYCrUcbosEwCWf_SuswPccvEDfgD;US?iGtMT;oHFKWrge:ug=SEtYGZireOTgGCfgve;h`SCZGS\\itq;dWovFUT;[rVUrM]CNmVjSHhugYuWuqBGiDRUWhEI^EBF;hpwDguucGVESs]MVUiufyFLsBAQuC?i^kYNsFRurTGv_Iy]Wd:yYkAEb;EM_F>oSY_fk?TVse>auYCuVShpCV[;YHYE=cVbMW?SWGWDcmckWcCSCSOHSMgL;g>igwoIYKwwYbhuTkcXxcbqGeNEDu_Igmeccv@SEUord;XouVF]biufIiTZiSqucXeYiCTuawdayoMdHcWmsvBSvGAx^Idcsg[;SuybjCdgYF]qu:WWEouAwR@ai[gEesWayf^eE;_ha=D^gEgkFyUEdguyuywaVtye@khdQrUgChmhwqEFMbascElQKUKX\\YhpOvAxWiKbtUjyY`hkdaQ`YWYIOExQrUyIdyYyYYxpheutyU?\\PoXt[eK=QMptYIqnNLSN`voHYaAod@tVDJUpyAmRQYTRUxOqlXPqJ=sc`W``wMLYRHL<hp<\\JemyfIL;AsMuRJ<toHWJaS>AUVQp=yllANB=qW@r?LYcaKnXWJaucIPSivA<tpaLNamiunHawu@Y@aJd=upqUNYvcQQUtt]hYUajoQj]HUvPMqyyppLc=lfPrFTrm`X>=w\\@Y>n\\dwowQlb>`Ofri>tMWejVuEpk]ixkAabVmr@jEgj;xnGX\\AIrsaj?Nef>mtxg=yk@Yr?yt`IhUQoeYwIQndyd?apIHmKnoZOa@ph;>axgg@fk[VqlfaKWjnngUWjtqxbapcvyLxq=ftoHyv?niFdBvpWv_`qi:Aamxi_>poPgOQwYoyVvp[ikyx^pwqpymmXgYq\\SplwNarIc:x]yXZrvqYfykaiaW_dwyFyooVijFryoZ>xcX`asYm;^`]wr^PZU?ryyuXImAVsKwuAnyQycIOreV]fO\\R?d:FwWyjnAt?@l?@t;@a>hq@IcfQxPQuhNpNGyI`\\HOb?qlg_kwHsPnuRYg>HeVn\\ghwGqdkXqOGuN_wDQaeY[F@\\BF^JNkf^hEwctwp:okGNZ=_j?NlXYmciwYw]mfuwfuwfumfumfuwvmI@]XacqyoiYvqIwiywbgcRavwhgKwfip^eWn\\AsNGeRa]wnsEPhKinNp`eiiZxZggb]Pl_XxANsuAbI`oGNu^gcg@wufciNZwpf[p^ewboyqxxvgpxSGoGxhEQes_oe@[NWc]?sTQ^YAoThiBH\\OWxJh`?Yadvp`oyJXbDa_PqsYNhpQwiQfiyyWQ_hXt_ggeGgRaxgiiHGpkGhKYda^rkxas_dFnia`umpykyaw_pNyZShqBVdrqbba\\knysxb?wtYWglpxsxboa`WwupNn[WlUpyeXo;AjdWoenntNefP[QWb=XoxHyaQvQxewqpmNh`@aYy\\dxtYWyTq^kYwuy]pv^pxhwHfhye_`aiYsxDOsyIuWxqdggTaWHToXSqfuareyYwiSAEHaYg=SsniXY]XUyiKsRqgIhwCuMxZICkGXcuUcKcPkTJQtNCVegHdqbvGRmGRNAbaKiBKb`iFfMTPqcG]cO_bGQdoGFgywKGsl]t[QUGMuHsSW?tyQGpoIKaVwcf_KengEvCY<uDnCs;wdEItpgVTAHuevjQX`IvfArPAdoGRmKhp?HjWsHsWkSXPqGmMsTIt:CUmMc]QWgcehSWmybvudi?eKaHq_e?CSWwhfgWfSsTedcqsYqtikdy]Y]EwqqyYkWOswdCBKwIgyYmuhISi^esJKikysyKTL[hCgSI?uXQDJEugqbkoSpwH\\;stUWI;EKEhMuUs=i^CSQeY]Yx\\ydyExjeVEssL_fwERvQwxybDiERQUEATNuT]IB[kGyQsQ_reuCv;WpkDbkdMIemqivYC@UR:WfUueJsgTysDCG\\ubAgx\\ov]WuxmT[CWKMfbmYQqTTaVgoDsURVABKUbPwc\\gfSms<OfeMTRaXSUtxsR`[CSUhr[WDUu[IgKSRPaWiwcLYifAt^ew:Is]QVcoxqEgS]RdsuH?hYqFgUyXmEPSsGEemKHeeroQccSifgCtqR:acbOukcyiEUh]TIEfl[VgEfcSWEcWoQhNsunqW_[dv?xlITAywoSxQCIFAWaIs]KVgQb?mImaxpKGw?IHExQGREwVa_Cc[uaGsSgF[UsxkhK]wyyrgouKeRMMhXIuj;TKkDvuuHWV\\wvUyemgCh_grywrtNeYqSdoupv;xOBxlyPxYMO\\XWapy\\INketQikt@Yy`yIxKO`nhyxxpV>mrxIyeuudtRcaWKLPuuxUtTvetrUM:YoUxPeQXbxX]IprEk=]VQduxIVk]xCyrWhveiNCUQhlWY]uilkbMl`nuv>a\\XcT`yxatxItThZgV[KipbNx@_tG>\\o>bJQ`Z>gOQnegfSWwKyiUOtp_fl_dQhp?qfwnpLGhUpxYQl?fiT`oW@_CPmFA^Qh_bvtKflsYxxVmrHeVwfCYm]PhO@[F@jg`my>_paqv_cyY_<^fbP`NavgNfpabeh`CVu_Q\\mX]WOf`qfGp^cWaIo]oIloftmgaPihfN\\u^@qtq]GladogEMmrt[u^ecqGsMqyy]YLadowFwstEYWygImCXN]Wtqx`CXZyRImd@iXwIrgQyYYbyKgVwcxyv;EFxiv@ib\\EpyAlx\\wJySxmOXQxSynAxYtYXwywOuXv=ov\\wamrjxPfhplhM\\yuWyYBAkxHW=lorQswMvBYLI=w=ySuxkM`k@hMolsUXNUuMqmROevrXr@EX`qRGMt^qMTQYBAYb@qgEWi@ut=nx@OTml]XWoaRWAlq<RNAJ;USC@nsiRQqkTPrp]Vl]SFDWLqNFiwNPv`TnKujFAKUQvHpU]LP`@QOMSk=K=PTLPq_Q]UynCamvYg?PhXOxJxpwx_IVkONq:Iyw``D_dbYeJW_JidT@tgqisAe^iilPixQbIyxuOi?WyPa_R?gDQmmpmWhq=?fqnjfh]o?sTh^bOhRPv]njdH_eWuafknX]tp\\O_wOFyeWy>GiUxghqe^XcTh_pqnCNm[NdE_`[WtyX_OXyrWuRI`W?tdHkiPeLnpa^roxhRf]BqeuIlIFglpx>xvvweYoqRw]v^x[y[Q`^GIpYhsc_NUEQcCNOUnOuAYSCUur?ii_Hg_c\\GUvcXZkebKUoWwjSg<qDOmuJsH:]tT?FS;dgCREMTLau<qVo[HJiVgMRDQUq?hDiC_mdveg`[WAgHCWIncHTMSq_RMoHsIIrcH\\gygYGOoSsgrGIFeMhm[UeGV<gVokVXciQYRZaufIXo[VBSrdGy=oy;IH?IgNUiHmEMSgQ[GF[gioDf;HxQFSmdogb_CIm[BgEVC]I<OwtGsWeh[WsBUiwMvbEwu?hCKu@oOwTy@XXiUr;yMyaUfDywyKcirkxpnAMmIYt]sRxrgdq=hlMQyf`tpHL]AYVLt^asDMXgyRx\\UdeXsGj;QtnxcGV]cw[yFxrGqKIbcoydH_cOmBh[oE;UHAiEXCt_csdWipat;ITYybI_fiGsv;sTeHsUFdqBBOU=wG:]VGCReoFeMDE=uH_SFWwyeC[UHdydSMhp?ufkEw;IsKULkH=mtteEgwIgQvp_Y;uecSWwMrKyGTggyEhOKe:iwOQtf?HYyRd?CiuURYfCcuDIy=kGA?TVCcVcup]eVkDeoDFKyBqdTehxOea_gSWDfGwR[DusfHGcogE=gDpqvXwwmUTOGDxcULaddKRRET>IgdMdp;wBoeg=wX[gB_XssxEgwocS`Ad=wIxMr==tvwhMySLqWgyXHUFIwv[yrYsGAEiHwd?QypGr;Cvx;hPeYswfHOE?IeqgCoYup?rVsXr_EoShDGI_shhSwKSupyco[SJQU;mtdGSSCTq;RNAB;UWj?fsECUWHtoTPkHSCtsoTuYYbMrJgHq?hW[Md=sThQmxTNtKoIxhErSmloXvtyUuYoLPsMMO\\en`LXu]pnTOGEnePur@REuVBQu:@oPIYhQWG=gLQtDyq[WaMi`^ggRi^eOocvf=qpBOuZgrvqhFo]MVwuvZwfjJi_VpxkwsH_[u?cTxtpFoxH\\kFa`ImkPxvomXfh@W_OgrwFodO[TH\\saqoxi:I^:peeq__awcHf]fqoy`BxnH`mji]qWuLpewNkpWwLgcJq[FHwLptbGbmQqPWxh^g;Of@[o>gSFbEWj^Hu_gc\\i^fOll`oSFtphrtgapFvJp`EhnpFhUonwwuqf`\\nlUQaRixtwmbQk?fi`_fgxuyHh;p`HALwi^;PeaocQpp]uNhpZMSlptk<O<qr[hOSUXmptxtKIHmgXt^dWAavjXTPQJ^@tL\\pU`SsTl]qpIxKuYsTxkfIU<pXmuw:evdHOXMUg]nKPl`=KTxl>QQ_hwcHV=MqheMfypo<UbtnsMwbHuB<Vbxo\\mYP]Lgqt?iqtQyfUQrlVBMulpw`XKTxtoUuDMpPeSDAlq\\RG<NqMjPp^PgcRqjtXq>IvkWbTq[GokEhrtGtbPedy^gGk`fgAv^AarLG]gWt@h]jhtcWl\\pdPhpXQdh`wPH[yqqMQssFiSotH?mlpn@^bO`e=_ldwo^PdoFcU>\\upn@hxyHjwYOurw[vFIU>yvOiIBwdfGSPyXOmtIStU]bH]EqcBg=f\\uuf=t@GEloHJeTpqeSSIhADnsgnsSUGDmWUtQscMS=QyuibB;cLIU=qhcMd`WCT?TWKvaeRcqhcMdpUw\\oiLuBxoxcyhWkEo[BGaePMkUuldMjp=VVUlnHxNEST\\t`tWBXM\\pJ[lmj=uaDwseoPM]Txmjh]SvmJVbwfmtokevqYNmjffGG_AwrP`hpWk=NqfhhUNr`ovYYygGtphiT@rSNp`i^]CP]XnIcwOeJigbAwmIt^sdJIyBydWgTWcy\\uxNICwygq_rOuwEcSlQbGmsPaXNMsKqsCYv\\eWaWU>_t:qbBSwt_cnYI`kboCUesSeECTQyhIByqR@cFSUHLqWbIEjaSmgUM_hl?fOmTxYh@_uLytiAdmOhZGu`_TvWfjUu@gsB=uZuU_YUT[D==tnIx=ei<=YBKexkWkucXyuUqh=gvbkgN_hnSCTUGAetdEdqKfh=cT;YV=BBQUtaBgSCLova[WLCGfMHikI^mRRqDqeXcmy`]rHodbMxp=RM?i_geWifFiYSGGgmTxoiiMglgtXiX`_iciRZOuqURPQYwUfLuteMFqwREUhLQwaiS>sivgYOodh[efGsbOUy?u_IDkSiKaePqytsFuSWtSyGEUeyXGyTC;gZwgTOrPyULWH==ttiWdwvYQwNudooE]cgNKHeYikYubKbVAtUmgbwEN]EeiX_]IwMv>oFeeYHGWNUuv[DMMtnERm]sq_yhusguRAeS;UxRsXr]sJ[HwWdVeTvcWM_H\\;WsyDq[vGCL:@n?aOfMYneWfMp^\\WlYy[HkCPTThNT`pCykhTWlLv`qwpXRpIp`HkUqqCIPwyoOxWy`v[tWuep[mjfHoXyWh<oKmt\\@N_hsiIUAexjmM=mtH]l_esP]KdyvdusG=QQIofDWXTuK<x@XJcDWP`mSMjPElPExiqQ^ImKTVTYmGEPedLCpmbtpr`q_=ni`P\\IWmLkpUsZummXuGTmZHSheMdILOHTnTnOqvgTkuXO>dOeMl@]TgDYsURVALo<RJAln@KlpNkXKUhr\\qwHEXj]Y\\`NfmZeQ\\_p\\QPgsnbn`qmXuNhphgqrQhshO?VIKifixJ;IqSY`oR\\sWAQGUEtdWIDavbyUGUdhgtWgYxOd_iFK`XoIkWPmveogQwmiSuau>EYWxtoUQMiwRtQ[HsTeV?UyZDuUqQpLLZfjawbnhntYg]V^HFbMn`cptAx[nil_hwrhcTqZGA_SXnhNmkiycYn]OvPHnXvvT?e]q[QhnfIw=GuO^`^gokOx@GsJNn@>[TNlPwjjHeVN]Y`t_gCMrp=V\\MrNgHuUS>URVaCSUEq[VG=i\\KV`YI<uTbMBqwTMKiOkhtsW_auy_Ue_WIoFnUGuKYWoU\\_TroSCguMWF\\eTawX^kskQxpeGGqGgcgvYgDsy\\WrDogu[XSUEc?doge`?fsgvFqcVsh]]uBuhxwrYmxXghCIuGeiOOvsgYn]Rf=wmyUHoUyeSM_hl?f?[XcIvk[wcIvZEcxMyBAeiAiUwdnEcamCH]VX=tJgh@YcUKLKUs_`pZ<WBMU]`jGulopmHdy]@msXy;HxCtrnTsfMvp`qEUloHkkeyiHXvamwyXciXPaPKXP^eoUiTYYoVAqZen`LXumNAexypSkMTvdVdeTauocTWwpqlpVGeqTUSmXsvelPQwhpudDlodn<mtfaogqxilnoxsceUIHpXUQnDMUuuMYwRTq]]WNalmpUIhPhTQfqjxpUW]r^LxuhmgYN@aQp\\xqqlDlVWhojeMALRvTPf=SQis=hQHDmmpk?`kZHShEMdqojXVeLjpUx\\qOwypN\\pvHST\\ppiQX<LoPqXPRlqOeEgkqvSOtvajgAtRadc?qNnp_fuWNvZAqk^gcwha@uiW\\qF_gWsoxk[VgWgnBOm=OmNWcPqrGGemopNfhDQuRXcPQZt^rOQtgqt^qsMotVw_Exl<p^Si`kNweVgi^crybRptpwxtW[O@[h@vifjGQ\\mVkoiqwHn`xl]ygdY`PitLV`EF_bobDftKnnnhZdfrpIvl_bFI_bosqh]vVhn_eVaaNi_VNwffjfAx>GeJavEQvIfcrommFi<@oTOpqAisi][WbNAZ;WbLQfLn`Ch^gWcnFfM`]RVmNaFAo;TqnhwU@mj\\VGiuLItNxPiEmkMkIixWeu\\uksQnsilWeuXdxt`mWIYfPwLaVGULfDyqPRPaQ^qWoplhulI@lWAuWYTTmjumMutrAeU<qVMQMYpscumUTofLQVuuUEUktQbpwTpOVUNOXxSqY\\]Tf=MbIXW]TdHObmR>\\W=AVqerrTylenZHw\\>oEI^igf;Wwn^dJWmpWy;IsVW[T^``q]I`m[Ng:TB`j>hwZhODqXZ`LWUwJyQpQNDiYhPVLEsomnvHsyXYalr?QKSiMB@xiaSPMsTpUieSEUaQXqxYe_wygWon``uh`sXxMhpQv^vXwTgohqwkIe=Pshf`PAmLv^?hgg`yX>dAisL^pogqwf\\moukNa`?sT?beycCYppFauHoyxrKPsDNpiwahauhP[;Wxb?jZvjgw`?fg=AdQGiegvjYr@`kg?eVI_fpwpnpY^mdGa;WgoYgyfoqAisve>w[KWZ>f[d@[UQvxHy\\AtBYs_FfUOuMIdLw^S^pSonCXuxWd^qlUh[MnelGsUquCHkJYsYY`kn]tfwhw][RbqGAmdVcG<urAaHSUwpawt[rE=y^qBhGwcqDucSKSUUYTXwwHIhlQYhWwgqXeITcmheQytgrHST<qtqiXQ]GsIuKGXMmstgR?oVsOy;UiCaDlwVAwre[bgUr<qGigSLaFgMrN[hlEhcgFbefcyCKcI=_XWYvc=b:?g;KjaLwBPr`DU\\HSUIjKHOAMq_MmrhOmTkCuxGhSdM`=wyrXvaw_GxcDh\\`@sOha<YeSpxbOnqPpuXsMopVYxWeIWcOmI\\mVQ_EwouTodhudPoYoGeXExJSFIqiPaS;UhEIuTquhurNqYikbQiRHaDngE]cdLKixwiUIgrMcQYgn_ScWEX?H?gsRyHqCelmfQIWukviSrUycrsrWahrWf^KfIqEvCcZGRGyxrUYW[hLIEUuvwwuD_f[SWBOUdwG:[BGCSEUfjgEnSFeMTRavqifwWx?qyKIGU_hg;t^esriiVmRXaWoquiWt^iWiAiKCiKOr`itj=rLkdOOurURPQI?WiHOeuWHTiTT?tgqHYAiZsieGB<qVBQUQoGeMdOiIWiTuQUumYf;G<yTsqWFuisiIqKH[IFceU<iuTUt[sdDEUHaC;UwnmHH;hOIeuGWKufrmxbEIlkXMATAEW?oew[I_MCTQB]yXEkDiMRvuxsaFeAfK]MKUSwDUvMkZ@kmhp>hsLpPCIjKURVqldMv`dm[uybIsLMMc\\WEiPkUpq@KwpSiQJ>=w<qp\\Xq=Yp[AZynoQifgOtNh`yy\\xXelp^SioCimoiuePryGcPQiF``u``CVlYiucqeRV_EItGhqWomlipm_hV_ogiwlylfvlZhoeywd@mAqkMfv_aoY>wn_crXfRAlhhx=hv[Qo]Ws?H\\KVatfdcvfTvsXF_IveYO\\nXlBN]^PyxvcxNjbHZ<pv:@gTgiLqdLnpKVcRqoKfn\\HcsqKqFhMf^SWE[X[UuemRXqTRgXXaDAovR[UigcUYVxgS[eVIuV?]VGiGjUgn_HugSCQUOEdX=iL\\XCUuolTSDwLPX`um<YoU<lodYWPVaHO[UWuQQWPLqLTH`WgXwiaXd\\mgejPiKNxnUIXVIUi]sJ\\POYpoqno\\RDMutUmVHsoduk]v^EUHasbeuHLkqDjADX:]tr@X[hX?hsLpp=TNi@Q@yOmdrguq`LXEYYaYw=qUlEsU`LptnfHkDDUMYwgHW<qpLyNWXnb\\tfxOqXuoQqf@PfpwgaoNlR_PXSlLe]S;UpEHmhlWwimOXw`@qA`lamxVAxNert@UKdpd]wrLP_iQvALKYPbxyxtswuMKUJ>^vFOufikInxUargwmS_ct`qIA\\pfrPWixwwbadbhffI]UPocguPgxp_dBoljA\\ihe]XlT`oo?iN?wqql<yvAon<XdsiqiXt_>geqZu^ecYsMyaq_pf^eeqjP^dDqeOFj@>vxv[BPe<xck^er@lOGfmWcUGcRqbfFfupn^q^QImlqxLp`hgjSFimYgONyEV`\\vplxh;xnfgdHVd>qgG_Z_`oSgqrYyxPidxo=_wlfvEoiqaiUHjGosh_wqAc]h[RIiv`m`gw:Xd<awKYpoXjE^sBWe_Gx`h^bWw@pvuntpIq]v_]vfkVtMYt=ou=iiXFd=@h^HokFbXy_VOwah`QOupIqDHc?p_fwtBhq`@sg@t_icg@\\[XwGGoUY`LoknfofYmYG^aoxDxxePyP>kWqnZGsiqe?AmPApOii@@ZhQxCplWAuy@rpGlbp[?Qp`yp`?f;GeTae?QmLosfIkOWenagaItl`jgh]TxgHh`dImgaavQ[loZCxZA>goGkbHZIod:`psOkU`v_VmvHe<q\\@haKNthq]sFemq`fplLpnr_eQnpt_gi^[AvoEqs[AhEyucI\\sVpiYrGWmpFhLGZqIi:_tr@h;NlQv`q`pgv]rD?ufXMIxMgn[Y?uyOQryiRNMRvQv>GFtUGuygkWyMWsc_c[WiI=E\\[hdwYxwWTuXkCwhWvOiFeqr;YWvUGrgij]wOss[YW@ogKssYCF\\mBVyv;CT=?bEwdEsDLAFgmU\\qVkwx>IGAywOSbQEC?eGUEtoYBQUwyuxVsGEusDIBa_hSeRGWgFIvuwcy_wriUKQfNUEjQvjYG[wh_ibBCWg[wLobVgHPoTcwePgR;UFIMRNAbaWGBAcrGyC[uXIvYmTWwdWMu<?uW;dhqb;YgwUf^uGXSI_IIvexJiT\\utKwU@Mux;RLQdtwrmATH;cTMRQcD<oBJ[GrkYKyhrCYk=yN]vc]f^GF^=r==IZKWsSFcqTY_UvosaGwkGhkkSt_EDYE:=eeyE;UB>eCr?Y;;B:WYv;n:XkQ<JZ\\KsMk`HxdxN:]tJ\\pVyujHOxaJ:MtlPYYxvXtKBPUMxmH@Ln<J:\\NGXyv<^T^_[oiQ>eghkC>qjWwuHiMfd=>bLA\\n>bNQeVOtfy\\Q_e[Vgh^e:>jvWcTfi[HZ\\ptZGcm`rdpmEh[;WkyqbH_dG>ZCWc]@nkwmA^bGX[Q>lo>Z^fkuaaZB>gi:EijEdo;B:=t:;Do_DX=fpEU]Qr?mt:;FYQ<nl;^uQ^^QN_lpZ:fo[>gVyv;FdEAnnHeQ>hRp_w>ZSWZ:OT<J\\ptZEUmuURqwjAQQDQlpJ:iPThMCURJAJKUs[DRQl`@xZVAZJh`:^ZgfmqIh>h[JfpNPvOyfT?ux^t<Pt>Hlqng>Fx`O[BV]:NhPvr=p`:NnPPdSWgN@bSWxaNwPvi@GjfHZZ>gBN]ZNgsflo`nio[Xwg:?xuHkZvgBQ]:Nj@@NTjNHkZXQTqvoQNrmWnDvl<L>hK:DSmxQbTuUlYkuM?\\RGLwxHorIkSDTq@xSHKlpJJQu<pVyxQlum>\\RGLVwHorIvh=yZiNi]uJ`mSTK<qJJQMlmL_qUD<jbHR^LnXaT<PUaPLoUxIaWJpP:`yCImYiYI<JKUjNMkWdu=@Ng=JgpNb]RJAJKGqrOs^XiJPsFH[[WZ^a[;WZ:CbMCxuHkKiACRRABsVv;Ouy>j:>ZYV[C_b;_dwhs:@o;oZ_poOWqAFbRAZsVgWFbmpvSWsUD:[RGKTm<uDhu=jRhnmqq^uwEdoXYyIxUA]vBQMZLWJDw@ItBMnxXvntwWYjJAx:<lm`Xy<Q<<Nd=tjYmLmM^PPIHTqtX`<krHJlmtrDR=<RNANOLtMhNSUoqXYJ`oYAkwQPB]JH<ll@YXlTcLj>\\RGLT_DWgPXmixdLQGYjrHY_mnBUMZtV[ywK<SS<J\\plDMxxUXDPLsUsm]tGDW=pTPHP>dK:DT=`MCeUXTqADnHXMZtVHES==dZNgJXja^wvpbWaqlNg^i[cVgOXgVFe=>bNA^=`ptwxZftl^h>o_uvrHFaepyJnl@XyGOet^qoYehN`E@o;W\\XP^m`_LFgUyng`tw>cJovI@rove\\H^uNj`i^e_uUHZKWgk?qrY]uxcUgwwnnK_^<Fo=?rJ^pf_uA>k`H^d?Zgvm[_p\\_nmNoR`fK_wJxo`yei?s@_hS_fYGZ\\pZgVi=^[unoOnu]OknAb]x]B@:]tTMRd;fkuSoox]ERwQR:[BgGdqyE\\WW:?g;[B^MIhYe]CTq;B>cC:pJJPlaLubDWvQqADN=TjvXKT=t=iK:<Nd=Jc@sjPjl<OD`S[tk<prs]mvYr\\LxE<kT<R=LPfLkFEJ;UJ:\\b:W<kurOHtKfh=bZGB:bLEh]Kw@CWO[H>gCskB>eK>@Lv\\vG<l>lMdAn_lo<ew^<RNAJltX]pnBaLTDNc]m==JcIJKUJBIkJItw<KNYOb]me<JBPM:\\P[Tj_Lw@DVIiK\\LW:<kT<RhMPp`P^=WKUQ`glsV^i?[x>ZZNg:FqBauVyg]>sLobAwxZ>jZHZZB:USBMeOGu_ESPAwX[B;UB:[RG;BlmBWYb^uUJAIH=BBOMBInVhTUlRKHO<p:>cs@tKiaBNj@>:<Jl<O@\\RWQMq]M:<JKUZJFct`ugffCPqondNHZ:Fd=>ZBf^Oni<GjvH^b?Z:@o;>bMFkLiaBxlvH^_>[T>Z\\LYElBQYAxpSulKpTHPqkQoa<J>e[>`lopdM`j`_waAp=YxXfh]Nj@>jbH:Sb>=RmucAmEuwBc]RNacBaE:Kf@<NKEtbpN]EUEPqoLODpRQpM:BZGGS_eYEDSCd=_yKwfhIRvOw[gFooWPix:_g;;^n^a]qnLya>Glrw_COg^`qoNqXN]QYZ:OwmN`gQBcHbEDSUFMMbjKFNac@OCGQWb;roABJgEJcH:;WCCXIWRZOvDOiKQdM;BJcHZSX`Ke@CHEgUwGTqKy<UB:[J:XOM\\Nm\\j@umqmY=AQIDJ:DT=>t:OtdvevpiE>ZKWZBg_pA_TFdo>bZBBQGg]w<;sm_fSYHgKyEOB:;B>eCZGs>EgBkCgGFhAB:;cT<J^dOqtKp<J:@o;<J^LOc=SB<JZLW:<JBMM:<J\\pJ:<L@\\NG<JJd@;B:;Fd<J:<JJd@<J:;;bb>Z:>lWGd]hiN>Z:>Z:Oc?g[:>Z:>ZJB:;f[?taOE:;FdJ:DD>JJ:DD>ZBP]:>:;bbJ:\\B>Z\\<;B\\J:DT]uL:<J:<JZLG<ZKK:<JZZ:RNJZZ:RNJ:L>;JJHKNDNNeLKUJ:B^GE>eC:;B:;BKJ:<;>Z>;;B>J:L>>ZJ:;BJJ:<;>ZBhjpA`Cpurgw>ViD>Z:Bb=H>]t:BJJ:FDBJJ:FDBJJ:FDB:C<<lS\\L>e;<NOapAIQmXsh@MjaMxQyexrSYt:<J:NmcNgxOd`fZHFe=>Z:B\\GRKyF:;B:;RDEWimr<ew?]fpASUgDsUh@Yi]?XpIvhAGWwuvSgGWB:;JJXKKUYlUwpus[ypi]uJDSLaq^aseyXJyxjXxFLMaypw<J:<J:DSjIwutwPtWvpX\\DMKUpP<v@qq:uo@dJpETdpLKQKMDxlxRWQn\\umyxtp@J:<ZBOjyXyUyw?ccGgbYHBaB=Of_ERlsTiCRgkSwQcxSfRcG:>ZGp^KQadoioGsvQwPhtu`ot_vK>Z:BBUEGeWoIUe_npdmw]YLDtu<J:>ZG@^kqdYpwbPmuhda?eKP[Tp_b@im>gV>Z:>Z:OmK_rvhydibQosOvwyHvlGh`axUPvNqlcwu>QpO`fNqtDFc;G\\`>Z:BSMFFwRWmXQaI[ksxoG>IsWOyYasn=YEED`;B:;BnOEgIUSETD?H;;B:LnPPXSU:<WO<YQyN:<Z:^bGZ:><B:C<<JkPnbhnihwfiKimMwIwCqngTyXXQP<X:LPj]mZdMQYJaAJaAJ:mm;]t<<aao`pniSxkggfAyfZAa;Oqhx:B:CT=?TvQwGQbrcY@EDaysGAcESt?EHW=TnIv?QfdKC?QbbKggMROeTm=UUoxu?G`]hkutpmsPcumqvjWB;;Z>g_c^n^hiZoo`NgmofeQnP?dGFdMW[dp^`WhnF_MNqVHcDfb?_\\DNbIw`xQss_bG>:<kTMlBAST`lnPV;UlnPj[LVLHMGMs^]NgmRxqOTLx`tqHAm]ilSMKutK:<ZZNgCO^]XfP_^gonZpl>_c\\Vndwvah\\wNl`wbxQgMN_uv[:>:?Y?esiiVcIUteuMghG[i\\Ogo;TNcfNuSj;GGgedEw;WVH;d`ayg[SXaENohKSvdisAgvvauMyRSqyVQcTwu@WYgAhnoe>IXhwff]IjSH][bfgb`SFaMWkplM<m=asF<ROqycLuydTnHt[hU=TPfQUldxjDMw<XFINUPNMhp:QRRixoYLQ@psmpo\\OCHXkUkMxlniRSqynTjY\\rFHttXTM@PgyovHsyUvUuKDdnGEtytWYXPTEYDERu]XEqVGmvNdyuPSkxVdMnd\\RL=Q`AJsEnKLRL\\pFpRCDlY`Y_inN`o[Mn`tX^hxkQpZuokmw[qUMQyGuL`EyxUxgpx>mM`IKWMxoisUhMyeOp`Ws=TyYyWhOUXNiYQqyJ<YR`]sktjvUTgtmkYqqyTEyL\\pvYetlYp^Xxf`oVTodMNOlXyevwPuLUYmlKB=tiAniIT`IM`doY=WPYw`uWwDmQUY<umpTMJ<s\\dsy`yliY\\yoptQJMloxOhMqQ]QnAx=hnnxmwxvXETNeLwHN;ETbdOuML<<J^DmIAuiixxUrwqvOdPyQpYYp]`salsvToP\\osujCYYvaNNyWttqketdyo?huYEVHikftvahwkeUZDRlETgur>HukmUaDTTumZix\\uSmnnWosVQl`xnQ_d[HqW@m?YlyOg[poLvrVNeE@_SHqufoYapoasmF_Shopnsg>k[gnh>oXNmU_l=qoY_eAY`EhhNQuUfpMNlJ`o@OkU?mbOm>ww>qdgvbAQuUajrxwExePv[v^dhnvvau`VbLqsIWmmqtxisNVgUqc\\hgxI]ghyRIl[WZAaayaduxdPQmCwrOxt>GmIg_EaoPftdx^y@kuvoCV`y@oKXqvP\\uGtaxt?AvoYqKycwFh`_yo@fCQm_FgcguHaqJvb@Wc@hk^Hbp@kLix>WniIrKOx;QemasbFtl`oXvsP_sIV]XQwmt\\EgpcU]KfemTNeGBCUFGGUeYdiTHaWYCUAcwEMefgDnGwIqsBcymSfRwEwihL]H:iF=qBHGI^CeQarKeb`kcvoFcAsT]uLoDNuRvOejmrogUoqRRShFMFGGCvQGfmRw?T<ofmQyWkVxchRCiwqBXegB[TpIf`uYUCRSebEIwauhUKhacBgmV@AEh?t?uRdMHcUS@Iw:cHWEeh]uoaSrkvsQFbqIYeg;CRJIyNuWxID`sIEOep[wsywQQSNYg;WRJeim?fw=D_MijWv\\QuiITT;S^OIyMDmqxewDWEIQ]iyqbEirSWtiMcMUU`gYMsIsgXu?ynieqU;dLqTw^DYnynadrwymSAMsMqYlQyqor`x\\IQ\\hYPXUNaKHIo@]tGINdeRO]sd\\UJtMwAvuerwykgeLqauk@jupW<yrCLp;=meIjm=jm=JZTO>HxbXshQma\\rutn?@mtmUBXpixnuXrUao@hO_]RGmYnyljXWXYWwm^Gp\\XPie@dmY^cNuxXZ:>:kDcoYcSYVEFaqRL]GPcR[?UJKgLqfE;ew?sMmh@cd<mH]myPwu_ME?mig?b\\kD:;B:;tkOGswfV]tlOFamXPoXoWckwTHIWLkfBObeWDUEuGsR;ee_UEdOcpUxOUT=WxUIIiCB:;j=\\wZlVtmox@SyAJ:<Z:_tL^bPOf?>:;ZLoZg`kJNgZa]:>Z:K?mPsyRLDJ:<J:DTEUwMMYMLy`MNl<lGXv>DwtpMrtJrtJ:<Lo<K?yoXaOBXta]LkmyVakr@PW]LMiJ]hka`w@XRpUu[tUOdVoerK]OpHWyXk\\mRUtXguvfEtwtWHTQJ<Z:>>MTBESuArVeSNqvFqt?eSpie`CTEKhIahskvueIEOyjObfQr]?FnaX]ygVwRNAB:^bgFc^_^GOcTGpZHcTGrJF`CacKAii@nxq]JQn[vglYooqeJgfPPrHYZ::^hFQKUH?ctkQbpEEOUIycgbIdnSIlyTUsG_uB:;JhLwxuta`Y?YlQyNE]Vkem[pXNdRC]Ng<XFIJLaliHRx<k_Ln`ixTxNsMl^EvoySkuoa`Wv<PmTN>`o?pN]tVdEpbUs;\\s[mV]MJsQScdRuyndmqVqrs@S@hKVRxsCBUrtQFcEy<sIBGE]gXaGx<iXc[VYAyPYb<EWM]xIYuaacPmeL=tXculGUMGI?uyhOTfIuj_CUQd^AIMQBAaE:Cx>_sEOeYEhbgxUygrItx[ueMujgrPoUcey`YUgIGu[wMuxQyHimXvihRQh_IRwywqmhfmcvwwl_U>aufMf^Mr^=uVSXBqf^_B_YHxuxxQWsQRNayeOUxmd^me?_f_ycpqRW]IpYda;wq=lKmvSRxMviKynKEJ;s\\csy_yliY\\ygpsIJMdowGhtor=w[yJEEWyTYIiq\\@odLY=Mj\\@Tr@x:<JL<sa]wqQYyHvxUxDPmyEuiWnFynSGiP^pB@osGuwhy>OopOd?HacaoM^pSwc_qdk@coPvKFaHw_pa`EX`gQHgFGuSi?g<UXuCHEwfs=B:_TJcR>_ucey`ggame:?g?QYLUySqYLKdOor\\wIwWDUehVcEeuWMKvxwGxEUv;xJEiRWxmUeFCSusqNXQgyuFEpphw^QjpqrX]QGElP<Re=TgqUSUWnLOh`q`Lsv=oTQJHDTEXpWXlQirZixuHtIeQGqrLhPEMtlQqWHW;DQ=<WwLjhiloavuDXVYj]`v=HS_ImJHqF`SyYtjqTYhpX@XOqnEMy>mKM]wcDl?AmlhtapWyppI`o=px_dSPQKTaQHqsBdymTnRxMwipL]P:iJ:<Slt_Ac`N]\\VgJfj>_w:iik>eyXn@hm=pnmxkep`YA_cWw?ox[p^UV\\N^oIPgv_wW?hFqgQ_xI`wlXbDgmnQat@wbo_nymOhoFw`H`sEXfXx_<pwmqeG>[<qmIGh_y]KOx;QgcGlqp\\Eym>aqwuXWGaQcEmWr_UVbrTcYarIogWq_xfiaiu\\ikQqcnfw`gubPf:ybyOiL_uyImGh\\qnxdG\\ox]xvyh@qnQvsNnwolqP[YX`?icQPq\\`\\ufd@Xt>ao<iZkItInqQ_uyAuPGhIi]E>amVwrncJx]<aeI^m=^m=>ZSG^FxbWohQaa[nusgeBHsWPyYadQxp_gxcHb@_t^ybyG[upvwptaOqb_pjatUgjTx]CGtpi]:>:;hBexEEuwOcJUe;gT>MD`ObtEhR]D?OV;=gDUeh;V<qT^GGUUbDEFUGHyUsiQHGOFYqT:evq=B:;BBQdbgHMmsfaRK?g_gUgQVfidmMe>GG\\?vduSeSw[gDNIUpGfd?WqsUocHrsiWWhK;ZBqlbhfGpmex_Lya:>:;B\\odZKhLSG:<J:\\bDAnOH\\<g[VXZ:>ZGqjXod;>Z:>ZLO[Kf`BaanInOXv]W]lNd@Ia:Ia:>lQ?kbHZ:JJdP:>Z:>jbD:>>B:[fP]t^YGX_ixCU\\odomCDue>qxqSXYoVoieeoWfwT;gbGUE_cYwSs<ks;;brKxf_GaYrZySfcgxciXUx^sSL_Hvoyc[sCsEqQY@IHysxteV[uU`IGmscmiueGXIyCrsBZcus=RmktQYWrmtpgCvGfbYD:;BZSvZ[VssDoCyl?x@]I?;Y?WVgwuOQRsoxngt`IEpEyxUxGOhF?fgMCmscjWwO[hIKffyc^sfigVUUbLarKkrIKGxOh@IuAYUYiu=ai`YTgyhYayZGhjmCnoCOQxSsiuIWRWyi]dvYgXWYZeismD^aBSCbqswScwGOir]wpwEnYIbYYNGY@GSesIo_SQeWwWrHYfPixdgVWUdXoiPiWGMxc?tX]u^id[OuEOffwulYvXosecUrYWGefRYgCQd@IIJQILovquckwuMey@WyGYGdmIZuiIgtluCfwHi=haid>Eul]DKUcmIG@Qy>EgYeD`aVDUvCstFOigmt?OUe_SsiSYAwwYubivOQeCMdsovcIBOWX:KvywIsWttiSUAgume_[XpYYw[VU?uUSD>cRPOdrMbDQsMoUPkdMsrtMyGYrwUtBKYL_WN_u?gGDOfBQGy?XH[vEOWqycTUGQyrouCA]eZGW\\oTgQVjQyWbf_IWgHeEIkeE]?fo=WnEtaeH<aRD]iDgiZsIjmC^YcjgR<gsrwbacdIKRxIWrU?msdUtoSv^wg_Eek]xyoDooe<]tcYrhwRNWVLawUOTo_so[S`YENobFYIwAXH[hPkUqaerKc=SdfCYBUuvCFW[FLAe:yg<qVNYC_;Wt?h?EWKUt@EeHiixETaITgmyKMrnihhUVRgYWsrkCgqeydecP?USwfwYiYywtmv[qEQeGdSBoyR]KrVWRVWBgWRJiI`OU=KbZWxckguuTN_Yjod_MYGYd@aBsCYBaDmqxefvyP\\iyq[yeEX`axuNvnp`cuq^xOheqhkIwuvwPvgvph\\f\\qVwf`fd>lVvkxax^@qyY`UFuKFa_qyAqpDXihAe:Ia:Ia:qk:`eJnr]p_uXgX@\\awcEFhliZwygdXavh^NX[:>:UGMqe`idemRkEUVKVC]HG;B:\\vX]tlpNw<KT<:Kv>wXwMB:;B:;Fd<J:>bNNuSiZJhh^Woj>vV>:;Do;bNGRmgYZaE:;bvSRKyF:<J:\\RGJ:<\\:J:\\B>Z^fjXAm:G\\D__mVmR`i_pocYqtvo[Ak:>:;B<eGEOUV_UyIrUUWTowQsyngc]MB:;J:qRdXqaAySyswXy@MyByjpLQLAuyutm`OiHy>hmy]UeILoUy]Au@anPyQFqx^dqFqVgUO:<J:mw?esiTNihN]hStTXHMWXIXguYTukaUPphJCUJ:Fe;pr>>tnGhmYkVNZ:>ZZRHAdSoioIhIShyicumyhIYUydaihFUyjQYQIsemIxUwbihvQUqWteuEAiFVEXgSIHWV?;B:;tFMXoQCcsXkKeoYuDOuNYU^ivqsydEW=oiAiiWitPIHbcWRiwnQu@OWmaceuEAgUp]EAQC:;J\\pL\\TvpUlP`kn<WwLrfXVRPVy@PUyM_uY>IpiQwSmY]plWAwwMJ:<JJQl\\pl``SNiOPekRup`eWymMDHJcLs><J:\\RghrBMne=L>DQSDSmuMe<Z:Fe=pdYp`kFxd`hX`f`wuFFibhfSHchxfmPyiWZ:>ZBQZsPkbhdeNmfp^?ft`xk]@wMqaI`^tpnBPpGFboYqLP_\\ihiwgLVyrH\\uI]:>ZZH\\bNfXqioiaQosOvlVAhs@amOyGGhdWsnxg\\y^qpgQvmxXxhGx@Yga^aAYsqgiPYxDFoP_iQy^g`[;>Z:Ne=PgXf^s`whHi<_mwf_>IsaipyxoM_xSa[kVZ:B:Kr:UV<oBMacPWf:<J:DTMIl?=mJeUPAJ:>Zn^dNQekpkS>Z:>Z:OdJwbG>:<jbHJ:BZKPMeLp]J:<:cDbcVsSF\\oB:>bDGbNAZ:>Z:>\\o>:;B:;Do<Z:Nh:_vx_txqwiwqAqe=>:\\nG]t^Yk>EJ:<Z:O[?g_bigiA:<JBxLdAo;<:;DoB:@?>BB:@?>BB:@?>Z>g[:>:;RNJ:L>>^qQn`@ofA[:J:c_EIeugomE?QV;]SYwiZKC?GE[OgCYeXas?WxkosigYHiR_wwDOfbuEGQUUQu?awEovbuYaEXL?B:<kSpRuXRLqOKAKq@oS]t^qkPMuTaryuySAqrIrHIPkLYdioFqmrtTVMQQ]y[ikWMveuXXuNDhj\\Ln@<ZZFZlavHfklWktN^dW`\\YiTqkxyjYxkExwyisy?svq[watYvyaGxbi^mgrYxifG\\QO\\:>Z:OZRowjNxeY[\\yivGyMOfwQth`uhWwkHoQgrwykgg\\Ipyr?qhvpbwoag^^h[ywxUXm>ygXAiqVxu^xyhimYx\\YpYwiR_gtarLGndhbhp^:>Z:`ZJpwjy`qqiL_oUOtSal\\ys@G`r@vlGxav]uHbvIx=xuiXsgNgPf`sxg_?sl@oiaf?_uv>aA?]oxulxrmvrh>s<afwWiTqfGq\\?HmmaeC?Z:RFAUhAhhESAoGhkbaGgscuPeTv=hiQctgu\\oVKUdO[v^cb<OgwuToQC<GEWidT_WduYDOgsgUD=gcodXiyqiXgcx:yxxCKpTjj]u;<JdunfqK?auDLm_qLMyLh<WYXXK`u\\lTKUpj\\RG]VP]t^HxHAWa\\SgTqjut]tY^IXLLsPmMgMnghswImOMyx@xhxRrPUm\\KAiM:<nx\\Ka=si@oCupblL`]R[mV`pwsetiLW`]NdTs\\pTJXoh`tytojDmo`MIDYuMR^Aq=<J>uLoDNlaem@oP^x@Y\\Gw\\oF]GP\\dggPX`qow_nm=yuswvFX^GhyqOZuXdFasbhhYP_OQ`eifyNe[n[w_y:pyWykEqoR>xVnytYoAi]c_wyXw?qqFAaaYm>FhiWi]^^g^skwkuw]simufxFy_gyv@>Z^oc_OgPf`ivhBotMNgWqaon\\Kfk;_tNguMQgg?qkoxfyqro]>VyjA`gPbXYyXyxuose^koqsNVwUIl[O`eGcR@sDxd@@eE@n>Hm@im`H\\\\^dIQ`<qcQA_[XkmAqafpiWwKfonNkk>Z^ybNQwc?cZqsiiuXAtnioMgtLynX?_IHgJofg_nOXrO`dfxpQo^fviuiboA^UxrWFt<>jP?bDOmF>u^IltY^dW`?W`\\pdUwkupipHgYngyqyxxxw?nniyqxqwWsk^cX^^e?eNhveI\\oP]^xtDaoQqawHbv@iuqs:asTwp\\q`_nxBQkQGt_h`fplB@kY_b@iaHQmqxe>q^fQiSyv]qcaypFAn_YygWiVhbvHcVvxZhxexhWYj\\pn;WyNYgvg_eAm^qp;>bpFplixTW^HGfVIrEy\\fHvlyponugi[xWt?geyVvMPZKWg^ntHihyqpp?igXanpxFVqg`dqAw@x^QQkY_i^ibYast?yYi]OYtQYt>wteVhqQsngu\\Y\\qay=P`sQePY_FapOqti>gSFhQFx@iiVYrhytdWwhqlfPiEXa=qoAO\\]AZ:NljiZixuxwuwpiaO`\\p`W?oIQkgqvdGxpYuiOy@_tVYsCN]QNa\\p`WWe?xaeNl\\Ghwysh?\\uyyZwgZofWf^lPlpAc=?uoQoPpsxnaDqp`feQioKwrwnsgoxDP^@I`ya_Vv\\:>sHfkB@o?Fy<goXH\\_gy\\Qo]p\\EWoIW^T?dUQsvhypygvp`k>vq_lkGnpwnxh[o`ccqsjh^OQ`eQgogllAlSgtUFuCXqX`eVFl``nIXiJWkYQeQiuiNhOW_op]Q`^ph[:N`iPgo_vUIbMitdY[_yuQvevGgBifOWey`lnPyfgff`[uinIpwKvtwaf_grrwwFQeCgxpfrOHoQQe^h\\NwpfH]eYtBXvXggUXgcN[HOyv@kl_e<ptCPnI?ZBW]XIZ^p^tpbwX`RH_BF`gV]N>u<ai[watXh@?CWtAccEOxKgUF?wwIrOad[UEoUdHkYfuUb_stkstKWoQcEWImgWp]v_cwmIW>IXqQI`CSDEYLSt?ccquHN=B:ot^otvQuisiy?y\\yuKsVHaiKUdi[BGWdmigaeUMETnIuB]v;=i^QdYiXvqh]srswb_KWsogXwvI_Y\\AdRKyAgr;Geo]e\\oTg?wbOereTUoiPQfcOYPYsWQdmoES?hPGDyEta]iAiIbUe]_guwuxQXQIBfgVyqttocooc=;BBKrhQBXmIJesQKWoac`=fBGYuitqaUssTVMX=iv\\ascZAPmjiumxgEXgxiyqirPXyx@oQFrxIttHuShptyymaqkQkAxaw?v[FxPykyacFacYXotfmvGaqIlyIiIG_mp_yiddpfPytv_ye_qVXa]@hVIZ:NgAQhAX`Ixio`lAvvKVn[PvsGh[ausFxuwMWETiGnAR=iUmabrSYT=ccwv??YaixrmUDqEQebsoFgqSw?wmotPueKUHe=sx[Eq=JoyvwpsyHYVqqN`P`<tYMsXTTs\\Wm]oq@oiURgtWuaUrut]\\UeeOBtrW<ZwHiigiWYh^GrgNdMwbg@dfnfUQkohmbxg=GouajjG\\JNkjPeMnku>:sdbGgsmu:EfPcVQyU?AShEdB?oPEVtMYTaUG`wNdxBAOTEpjTngUrfdW=]TmewcLo<<J:<SLHMGIMfPlf`osXRRupRpqjmUYqsteu\\pKKUT>iLQpsgdyt]ws`oPxPQxuKMOqxngmlpXS`HqB@J:<J\\yrjuj=YVa`RqiliYL?epbXSFmmdYxDAW[EpR=t_dWnymYQoUiOdmLoppSUp>yMhpwLtkwyoyiOtqlhHLQusxpPMYQpImY]YQ]Y\\eUippWUpspk:<J:LL:QXAxWwAvY`raptpMkeQqhdsWqPdIl<eSPqrxeyp@yhYL]dXuhRGQnpTYpaWkikIaoLtkvqs[ExqYeNvasfxM`shadcWqyqhwwqRaiqqbwxkf>:;B\\yf^qCyywj?yIuIr;F@uSwgdUiWGWsgKWPchSewm]X=]iqYde]rQmwvGubqe:md;qFNcifUeosFPIyOSCQ[wmuDlKwdSrOwwxWx@sTL;B:`Jb]pu\\NgQLG@XEPm?eSiqt\\mvvpy;<J:<J:iML<lEmX;<J:<J:L^:B:;B>e[:>Z>;;B>J:L>>ZJ:;BJcH:;J:<;>ZBXjLYmCnfxgyh@q^QsEgrOyipqnJw_V_eQacIymy@kwV[:>:[R_awcEFXQYsOTNqfIqeOcrQqGBohmWH\\QrswuNyhJORgyWCwdi]eIaGoqie_SgwV@KWpuHVETUwhfqVXwWDUDQiUcmxxUTT?YxOgSmiC=XyMWrqrq?wwgTOMeveecCEWmXFsxaWCygtxaDogtRgVDOU[MTVWY]acpIhPmGEyDNUdiKgPciyyVT=IdiIbexVasN_CYaSTOYhwHmAeoSyc=HewHS[RgSXbOSmugMqvY]WG]i@ifZGW\\oVx?vwgUNsSECXpiW;;B:<JLiryyJCMnVqNlIo^tW:>Z:Fc?oc>oo<?f<<3:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlIT0nRiotJS5CT1VORFNfSEVJR0hURzYjJCIlcWlGKi0lKUNISUxEUkVORzYi(b)Figura 2 Os gr\303\241ficos gerados pelo representador gr\303\241fico Otimiza\303\247\303\243o
A superf\303\255cie na figura 2(a) \303\251 o gr\303\241fico da fun\303\247\303\243o objetiva LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBRkE= enquanto que na curva em preto na superf\303\255cie \303\251 o "levantamento" da curva restrita 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 para a superf\303\255cie. Na figura 2(b), a restri\303\247\303\243o \303\251 desenhada como um cilindro cinza, cuja intersec\303\243o com a superf\303\255cie da fun\303\247\303\243o objetiva \303\251 a curva preta na figura2(a).Figura 2(a)pode tamb\303\251m ser desenhada sem precisar do Optimization Assistant. Para isso, come\303\247e com a Figura 3, um gr\303\241fico da curva de restri\303\247\303\243o.
QyU+JkkicEc2IjYjIiIiLUktaW1wbGljaXRwbG90R0YmNicvSSJnR0YmIiIhL0kieEdGJjshIiJGKC9JInlHRiZGMS9JJmNvbG9yR0YmSSZibGFja0dGJi9JKnRoaWNrbmVzc0dGJiIiJEYyRiQ=Figura 3 Gr\303\241fico da curva restrita definido por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBLUY+Ni1RIj1GJ0ZBRkMvRkdGRUZIRkpGTEZORlAvRlNRLDAuMjc3Nzc3OGVtRicvRlZGam4tSSNtbkdGJDYkUSIwRidGQUZB
Usando o comando transform do pacote plottools, defina LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBRj1GQQ==uma fun\303\247\303\243o que mapeia cada ponto LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJ5RidGNEY3Rj5GPkY+ no gr\303\241fico da figura 3 para os pontos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiktSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJ5RidGNEY3RjotRjE2JVEiZkYnRjRGNy1GLDYkLUYjNiZGMEY6RlVGPkY+Rj5GPkY+. QyQ+SSJGRzYiLUkqdHJhbnNmb3JtR0YlNiNmKjYkSSJ4R0YlSSJ5R0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiU3JTkkOSUtSSJmR0YlNiRGMUYyRiVGJUYlISIiAplique essa fun\303\247\303\243o para o gr\303\241fico na figura 3, e sobreponha o resultado em um gr\303\241fico de superf\303\255cie 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. O resultado \303\251 mostrado na figura 4.
QyQ+JkkicEc2IjYjIiIjLUkncGxvdDNkR0YmNictSSJmR0YmNiRJInhHRiZJInlHRiYvRi87JCEjNiEiIiQiIzZGNS9GMEYyL0kmc3R5bGVHRiZJLHBhdGNobm9ncmlkR0YmL0klYXhlc0dGJkkkYm94R0YmRjU=LUkoZGlzcGxheUc2IjYjNyQmSSJwR0YkNiMiIiMtSSJGR0YkNiMmRig2IyIiIg==Figura 4 O "levantamento" da curva restrita para o gr\303\241fico da fun\303\247\303\243o objetiva.
Figura 2(b) pode tamb\303\251m ser desenhada sem precisar do Optimization Assistant, como podemos ver na figura 5.
QyY+JkkicEc2IjYjIiIkLUkvaW1wbGljaXRwbG90M2RHRiY2KS9JImdHRiYiIiEvSSJ4R0YmOyEiIiIiIi9JInlHRiZGMS9JInpHRiY7Ri4iIiYvSSZzdHlsZUdGJkkscGF0Y2hub2dyaWRHRiYvSS10cmFuc3BhcmVuY3lHRiYkIiIlRjIvSSZjb2xvckdGJkklZ3JheUdGJkYyLUkoZGlzcGxheUdGJjYkNyQmRiU2IyIiI0YkL0ksb3JpZW50YXRpb25HRiY3JCEjZyIjYkYzFigura 5 Desenhando a figura 2(b) sem o Optimization Plotter
O Optimization Assistant encontra um extremo. Para encontra outros extremos, edite as se\303\247\303\265es de restri\303\247\303\265es e limites para restringir a buscar apropriadamente. Por exemplo, adicione a restri\303\247\303\243o 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 para obter o m\303\255nimo de 2 a 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 Veja figura 6.
MFNWtKUb<ob<R=MDLCdNNZEM;\\Q>D:;BAcSHi\\ZRLCTJcDXoXuuX=;ISeIbycyYyouTN?wsIB_OfNoXoWe\\udLoiqQfBiFf?G\\?X=UeN?XmuG@QsOQYbScOEYf_XmATeSuoahV]YakHgmEq_Wx]fhWSs]GTEgrgryuyauxfuVIqeaGImSX`mvFaseivUQImmvvss=yvwseIyvVWHsOYOQsCNomOtcvnIA[xyg`awspk?BNMV[Qr?GryWH<yBQiUmeh]KJbPsw]M<>b_qf>y]vngxy^tgqxHsCIsRAxtxi\\WrUn]@y^Swyy`tmFs[YiaPmFa]K@eMotyWlSX]RqtPqlYQx\\iogGp_Ix_agtahkqtp@aHIiugqkwatNaHIyug]Yhogyh?WiUo]YwehqtPxUUvB_vngUVsvvGYE]WsuhiqgHohPyfrggggxckxckwwyfrgsIQRiawqGuIMhMkRViUAeIeOdOgWkEs_QXV<MeQQF>rBYatIpUgdu@rcHocX\\Xipfhh<A[ew_Pwq[IoWooiqrUytwYyfhvaqZyqgkWy=_q\\DNaR?wVr]GWmhvSXvETWkrFigqkhSauroyYyRfgUuGv[Qy`aebIvsWwYkidey=AXrID;yYy_UeiF>;bkavVMdtGDEABRcBgWy[]WbgiBsbiiwCOEYCyOIsCAXZUVgirtICXKwbQJCTVZlsyTyrHQmtXWIWuyJw<XEYyAtKyaYAyUyuXewosIxGy_wfw<pmhxxqyavwhn^qMYfXAd[QlyGiOyi>Wruha[icgy_ZPjmHkxOxohkeiiNYdxYfjx_kYiYah^Y\\I^ir_xjgrqqyaatq_xjax\\xgwOx>AgrAlQnmeY\\H>dAajkHcgibPAsipfOGg>XriPeupxypgdGphyyQaa]wlAvgMv]M^vF@viwsWyhVXqyq]mvykHtGqkWQiGIeKAxHVhXw`\\w_UixYAiE_`vxxyfmKwvGgmoxtHIxAX`qfiRw]My\\X@\\Gvy]IhYFwIQcy@ihYk]Hva_mrGliY^Z?fYitmov?XZ?vheV_mfcVArtIfvaydX`MFx\\n_rOw@X_YIv_v]pwsw^ipq`UggKv]M^avow[WysN@es]oRCIx?KcdAH<YT?mWV_u^acL_ROoRXAsQiSHmELwYhCsdwgxgVAgwX;EHsyYiuyUynivYIYoYeycHkogKavryVvCYyWygmhhUgp=upUsiyYsiSA[Iwiww?I<WIhyytAyO;td[xjwryYytyyIwUEogYqxsMxUyFu=heeEr;y:iIlkRX;hAiVYEyKucPAy>YVHIuj[HByT:;VrWR@MfPOf=?YKqRWkrGwx`CcUsHgEHCYEsqeoGikQv_yRY[iaqwukRIsuomwQmStUtaOr[YvYUY;YiIiyD]xNqeuwwjQyQmE`irXkUugI^SfTOw[uCSqrKGBbgd<?SK?cQcFU?S`kBLYtmibIqurggyKyCygXiXHqFQMwBKBAIdAgsSghIqbmCTHSYLqiiIIiUR`AUmeu\\AWlgW`eetEyAqSVWHmutAkWsuyuwwxYuowIsit[uGvuUratgwtXgeRUvgSgXYDegiRutaSFWYtmyhYyYQ]H`IrAkyeIUiMYhYTY_hiqxUaWS[IvyeYmut_xEuIruuAyiK[CqkSsKvCyBiYxjybguEHwyTQcY_ekqyicrQidhIwsYceSUNUrv[yCWEt]ev]VKYCqAuoUiAcWsuygqhs=RrkvhYYxqYeiWq]ynqrYiejqrGCFfQycyh^kVyIwQyuVsgw?eb[wcIYHYuHOY^qEukIrurAcbIsYmYyUygyIyiyDnkd`kdsewQoyoKEXgY>YiTsFYkYbaiwshWuuXIxUYUhuyfyThgyByVhOGmQUAEV\\qhycuoChxGc^?F[]iwatagwW[WUqCI[iiiYyIFr=YayUhqyoywiuyYYeyAyPwxg]CWwWues[ErnSIiuikMeZuDxyxQuhwgx=sUGsFBYwcIurCwcSYgqi=qsUyWsuuSSw`]ie;ekqdysy\\ytemsrsveUtY?Y?MVEmikEry_R=yyn]ytoISsWycvcWifaiOqdUwWpgx=oHIsrYYxqwiYqXuyUxmYMiWimy:yYAyvwQsAmcIobIsI[QbMmUvabsUhYkhoYBQiX^mi_ycqmGYEXwyfx_Xg=HvifmqUL?UcyDHIIpKExyv?Ky^=B=;CSCcZDP`horEt\\DV>hgToxqacF`_bhqBfwvXv@YkOp`iPycOi<pvDYw]`jkAvWVpi`gtgyqvsRIfUi_=IvGq`UHhZqiuhiaY[i_iVyaYHeCIdxQyapcSyhixZi_c:v[UqyNxlwYvgWghQiXY`XVxRHeIVkIxa[Am=xynyvy`qyaycQcPYyIxcr_f\\_s`wxwyjA`wrhdjyplGueqvwVywfuf^yOx_v>w_xsUxp_q\\qYkI`[\\pbjyplQpQqej`h_yjxfxgasSv_WOhV?\\Do`x`iu^abGrEp[HnZxNud^fvXvnX^\\HvUnisyjZisn?v]x`nIsrWyewmpqnmxqVvmrQxmqeT^v@@yRxZfoqSqeuhgY^y?G[]YhY^ahwnNa`uowphijy\\_^kfEXyXfqSUiWSsEmgr`YewKv[Uu?sY;MrbSXnQbN?dRSD^cdWshWQHrYi^iiAaEoMwaSHaQIaiGIaYrqGUqRIsXRqx;srxSXyAVZ[CSLwYLPtlkQTL=DwcIqe]wa\\wyhOtaUtMjyuYaqrKHYwHR]@YKDY>qWu\\mkQqdmwPqLIxLqqlnYPHaQwAsr]qB`QqIWuyXmpouxwsYYSHspXutIJYxybYOuHUKMQX]Rp`u\\Up]yvaqpkhr]iR^IMMUPUmokITI@urTvqqYnUTjypkpo_IvU`OmyQYYx<aRv@SuarupkXIoOaPSpQxmvKEkrETghoY<YyYxTtR`utHer\\ir@aMstxKlq?AjttjFpp@yXRujKlxnaSV@mt=uEusclU\\IUiTwAiRBlOuQxItUxQyI]jOHMUyuUpPHDmuxTjywpYywpX\\MVlqteUlaUohMYAav\\TOxXY]YxXex[AVZEwsuNV\\XZqrlAvDywWAYNIkYdK@lOstv_ItriUX\\qoExLqXu<wGExu\\wxmw=uNfyQmutbIuIiY_eTn\\YAimyyX=yOhEmxPwtiNY@y`=PwQjQtMlap=uVhYxBhm\\POMhX_iyNYu`lPgUOCpsPeOrXPiIQa]MOdrExQhHqeEs?uuvasQlYrQja]wy@vRYRphuteUwPr=lpRaWCQrsyN_PmEMJYIq`ylyQxiumHlpvQnmpUnxuXyKCPOyLUXlrbhP^qmumyxIpEuTHmSFmqfIYmUrPik>URCqwIdurAxMuUrIruqOVELF\\MyauAisTYWaHQuqWbhsDxXcAynyLQeYZQnoUtVtxVxrHaumunSykdLqeishuKSAy<dUliveuQrIsiuJAHwRyVW<piqmulsXYYW]lVPYkyj<XVQ@QUePkqWsXwitxvQvQypWeYgiSQtYxyj;AuQlymam=mKVYv[Yqh=KJTqx<QupngetImYmMySyUClUPxxXpY>qQu]wJlkVIXw]usMyetOFlUi`smhTaTyYyQoew>pSk@RXeS@uVkQV\\=YiPMxQpoIx\\<x[ySxUW]EULhxMHp=DVv@Uy<pCiXKLrrELrmy<xk@YoqLsiDy=tWwLOXtOxhy=xysUvutPXmYdmxMqukauQmYn<kQDv=yKxMvUxsrEusEpOdy=uru]pq]oXLVtevoIRv@K@lQmirYlSi`ySEXWeRZeUv@Uiyqxpqt`y@aqsEr@YQaiyiyoxAmR<UQUToMvMXn[Yy@qlpAwwxMlQmQ`Qk<MrtymxuseuutQyavQ`mQHPGYNqmYoIpeQUdmOr`wuuWruxQtKuEWKiveLrHxL[@Nl`OrlvCDr:iRQxYyikauOyMyelsiDY:tmsMv?xoxykyQyIiXkQVWXky@pdiLieyVmvdLv<@YKlKvewdXM\\ULu`Ty<TeEwmtRtTQQ`noEwritRySdhXO<MepqTUo=DxXxKwexYqStMUr\\y:yJVyqHyoSYoIXQnApadwUdQvixiqynQrQaUJ@ycAYFYpH\\mtMr]txRiVuXygmP]IRI\\qymUupRuPvOmKiEYiyl\\xUfhk?yUtmw[Ypq\\SmXREPWCXSy`pdiSallwXvhqqkXOeeUqYpYqj=tQyHyIXYgqq[ynvqqumwNdSjYuUuyVdpL`sTYWaAviAwa]wyUuYpylyQqdy[anqhUPlkyiugxYHPUCmVhipm=xqQj]lvVqXuQqcmUmqx\\Xk>pyhyKq]Rg`N;QS=xq]pmpxuT@V@YmyAyTiRY=Oy]KyIYdITmuxUiXQhmqPKLitPXmYyWEhsiYUxmuilUkYtMpks]qihOZ=M]iRnlqWQmFHM_Tp?ikUpQopxuYMy=rGmMjawnAsrAy>XmxeYU]tOTvWtnyTQWiL]_yeqrSvgxisgW^mQpwPvRXj]xmxyhVIyywZGyaeF`;ythnaswkWwpUfkWhuwInUVwMpkvOs]XjyPjCn_yQudylxvxkwxWapX_fUhopvaZWoWoqsGx<XxiVyhIyYhyhivYwqhAyaaapFaGYjpvaZovhVtQfqlQjEqqqGvaqqQHq_vmyqrIxelaw=N\\Oa[UwabWxAawuAtyqyrYsiNqvyZ;yeEius@vFyv?Fu<ydI>`PGx\\VxfQllYcU>b?hwiwiyynb?yJyriimX@vJIiUvcc@yG_g\\InpfycYdp`i:qjDFkuxwsu[ySh?SF=xSYxxiFDwDysicyCQ_Y[yBiEIuYCumEt?XRsXpisacIogVmKSJgDxiyOUETKSxkinYIAsEw_vuUgiMigySyESImxvgxo_GQ[UpiuacibaeiygxGypWuMUtFAyAGyAwvXuFnYDEqiyySAiYryBykyOmvFwssMsfoduWx;wHwSHDwDqsyhySYmy`ySYyXKidIEYSyrvEE;SfWsG`KCiWdKiTWkrMutqaxFwukcHKuIK?gn?WsaTbQvIigv]wVgu=IvAuwmAtq[er=YvQdRsWret[EtcOg;wgVEx]QvW;YYYUYwUyQCIwSwwyrAY_aRjWTY;ijQc>uutGekWDRmevQfI[uUYtjOeH;YyGywiwKURCYuHeYtYUXYi[aSKiba_IwUvnshVqUOqyxKVwufNQxMgGyAuCsExasOUCXQYS=iAygsEs[scXYy;ItGcSpGudeu_;Gx?yKwdy]xLWgYeY@yv<qGgwgxkxZyRyKXaAwhsFUauuEeD_hEyswkw]yewqwcwwrygjQHYWCHGY<agwoXDOubmhHyekKhaqWUsUuWvYAYcabEgb<SvKsGt_gCAmt\\kIpYderIpYlYor]nrtyfYv<IvZ=voyoTAYKtsUlyqqlqumqil<hRwhyoystLxjIQKYreqYpYmFIshTyjYOA<ylhqmax]tmj=r@YmEpyyXMxUYlYUidSImLyItyqkQyQm\\MrAsSxRq`UxijiIQphvntQwIyiYn[IosukvevktJG]oeeps<WdmuXEtrYw]UtnEw[IprdXhyNyhYZYpIqKxqMuawqqJyuv?qotHpAiqaQV>DM\\ipAyQcYViAYxYSayQheUd]qjYUyLycqrQPxXhxa\\x@DM\\alQ`QkYNiuYXIXIIYfQqtejEpTvAwtyuh]m`yWsxNwqJmlmv]w;uvxhxstOxLx:@v[yJyDygityTyWExFxVwYwKDkdpkb=yoxrwDPV<Q]avapTuqQsuremm\\YQH<o=`hKIus`^?ghRFxTYkUV_WQyAyamasYxeoofrWgLXygo`]oyKvZ>viCHghGy]i]A^agiwswaPvgUgyXarRXqiqyUI`afgvfr]qtynuKfm?Qy>yrgI]Wotm^q`xfyfaanl;PZIPumwvYxorWu`fvkQyeOixIvpXa]XcsoayI]IH[xQ[PHyAh`qogqhx@HkaiwyXinGeIAxTpmcw^xHyLxwfVag^wqNqgqtU_qti^A`ZyGxCnwvXwhasMgdu>xlYn`iaZWkGQnj?xkXcPorY_rIhetgxEqvi?aagx;VmioxLIymwax`xdIkoio[VpXFqm?xqQkQ^^u_bXWiiOuBnnCVyromjaysHiMafDN^<?uAYx_WxYVmvAuVY]MotVqyQ@oxVfyybw^veyxXotmymHxyB_ycxnWNpq?xQgtuWfGymyQ]Xowm>pYquuvbQhxngcI?nxFx\\Vp`VnUajKYdu_axikyFq\\akvX[dguvYmUqtYiqwhkDAwIaixWlHpiEYmQiqbIamWwjQgO`aWhxewdxa`WP_hqqaywSh]TnqkiweymqaxpqonixkYcQovW_heqkupwx@fcQsdpxqAv=v`P?u>ycIgkI`kHA_s>y:ha<ajKxvQxqSWhLYuxvdvprUpimpnrahL`uSviuynbaHQsYky\\AcacwMGISyhQeylIwc_TkusYqyXwXLOWsuTYUYMIVAcw_YEG;gg=hbqf`SfjQcUEhTYcQegiYdkMvwwTMQcqUhBkb]yfG_DnArB=YNIfimIyaw]yvFauoufgyEnArgstwQduYxWsYwiugwhYUx]YeYMYTiB?YxXmx_yEXKHqugjod\\qrY]uL[rEWhx[xYIx:MXDQrEmyvuvYuet=sxWix;YUgsPyufgxhYiyplyluKUuQuxGxwt`yHXQyQY^YTauRoDMypyWymHYqrerUqUu]RtMvyuYIyviAqmyy`pMyxt=mXTQQF@N;mLsYrguXP\\OyaqExoFlyHiQ]Tyx`NOleM_qC`vay`__^F@ysVo[WbCYay^yGXjH>u]wsWqpYqgeh_\\y`_FyXykhOiyy^xh\\@fsqwinHy>xrfqqaYrpXupn`G?pwyuUgimQlyaql@fuostAyqv]yxyhwkRw`]qvkYmL`iyyryPaaYlQgbuiyXxkyWxhxqVYxrIaIVucquuwlfXqmAstqmaxfYxyg@fPx^yniIAo`VvqyivXvMwevpvovrX^t_IptwyyoeowtYwws_u]xhSIhUi_=Yw^_umypyygGymyQvEq[RFZMHb^FmsVIeuoSwxuRxkWxQiEAUWiXNQieuWYmyDac`mvaeioauHqgAGh?iwUkgt?Eyow^]yHSvMGhe=G@yFSAucoWlMVGiXiYcX?u`mtcGxeoGHmuuyYSUFLSWDQyikiKEhlohWgggKuliSaOGXQuPSUxGwooFqCiCUY[qtp?IHIYueikuItKIHIyueEYgggyX?UYUmEYuUhqtPwulIcCgSP[EUohEWvVwHiEcgswpiuOItaEfmySkmyawVNoI?iWvWivMcwMcAKxckItIhUeb_qY_kdhSUXaWpsSrutl?VruiGqYLcckEY;=BZOYScg^SUVMhhGSuIUEYgsgiB]TuEB:[t>Qt_UsA;dj;B:GDpcHoctAgh^qFFcXI<V^djwmN@lljLWbUwSxn^Lyn@J:dhM`jkim_x_p_b:nj;Qu<yjj>iHi^;BCSB:;dj;JLlZ:F[=>ZJ@`:>ZCJZDFBJB^[C:JB?:C;BC>:>L;j>BJ:;<B:B^<J:AQTHtqhPGQmmtOTlUwPW_UsCXUHUJ=MOxIUbDyC@OxAWraq:TvU@PLtu:Hvq\\oiaR@qT\\isiLN:Tna=Pg`Nx`S;<R<Aws=sBlY:ijyEkcMv]Mn[ax>IvjMYp=MtDkqTX;yR]twGtUjIJC]OPIt@LYdPvPMl`iLeLL]mKwMt;IVX@kxHtDLwAXUPiLaiSVdKaxP:LOn@v^YthXq`QwhtQHdO=mRrqVhEyhuSymUDasLdY@dYd=jHxqYqJJ@P<iSF>]gogvYshOnVWbC?mEOnyWsNAk^ntHf\\tAvuysdPw]AlbPbBxqwXex_`t>g^__XoqIg[JIrqYu:N\\@_ye_pZYshXvhhg?ipuht`y_bItAInqgeKPaboyjIo;Ni[?`aQlnWbiFdjIZ;NwipwQ_ud>g\\FtOgkkadlimiYZ<^[PwmdA`\\iawV\\y`pDNa;p\\ivrig`@WeXYqwN]YpyB>y:@ZoI`S^iGfsVhaqPo@@u`i\\eN_iakDf`KqwUYuAIZRftiyp\\WcQh_io`UpwEOZ:^dIOR;:;<B:B^<J:`:;djZ:[JD:JB?:C;BC>:>L;j>BJ:;EhSHVKJJQtFIumuj\\UQapn`plflU^Df:HnkguovdQaiEvlhVeXS]mVNIybasyKxjuWb=BRkRoKSRCVp?WpSeCGxsEI]mtVGYewTg_gpUElsdS[cFwIfShLAXPOxUwtEgY;LL@QqrEL`UkcIwcAW^atNaTjyW]HtR<Y?aTv@yiEm@LqCXK\\pJ:Tn[pUaQl>Yv?=yjpNWiTLDW]DTeHJ:\\NNQnHTNf@rBPv?=UoELx\\msTYhiXQaUWlyUmqT<NDPJW\\kfuT\\EN[YrbPO\\dqD@YgdR\\pr\\DPi>ljN_MnrE@hZFd_Hdl`qIwlYivAohyPqjpj]XpO_raiZ:F[]?m>gvqw]DNhSGjhfrUYvToh@NWwfWavfqUyWx_sW@UvM]UjIECaycMG[]TfMYtMIXQSLyyQkiTibbIh;eT?QWEywWoCxgd\\YsfqvEegQsUBgTgUENyvQgWUUDI?RNAg?MrBssAecTgR\\Iu\\guH=EWgYyeXMWBDku;cTgOBkQV<UFT;HfMWnmGCQd?YcLCS\\wR;QfEQW@_iiEy<gv^mI_SXJiyUGIxqGD]CakeGucFOYPsVx[SvcdXMUUueo_xTMIRqhvgcCYU`[CWyfrCx`yEpyhneUTES`yEs=YrEsqAYd?SIGGh[f]ocPGcTib\\Id_msxcsemCIaUlMySar^ereixucdpOdhMyGSTlWWmEsDEdlcEPWxx;F_shv_ypgvg]sBmh[UHDuePaXcAHKgXPIV\\?yJQSLEejCS>yWgSTVubKwXbYHAyDI_GhmwguhkYIKCRDacNquFUit]tgMFtqUeUwUigmoV`QCqYsAsb[oynocdiVPOWQYtmoyqid;GVvisNue_GB]MrwgT[]EyUHcGF:KYgqIHCBNYH\\[fuyY_mUKohRuBw_cEKeBMIe_sbUWhcx_[c[GTwUueWr:GvBCESwFioSNkXkkebetYIY\\_u_mHtSixoYsqsNivqgg]ic;OU?;cjiuuKxWsyaSbgwgjQbMcsekTf;IsaHwEGRCSgqiwWyvIXjME?[xNuchksNegjqIYeEVaHnOuiYgjUHnOd:;BOhl>ljXmUmE[CVZbamfGZNAlPO<;dj<:^acyj;>Z_`_WopVIbJ@`:>nDWdMWdHNj>HZ:f\\eAvlnd]ocy^[:>BZ:[bpjXpmop`moxVwZ[x[`pn``x[QZJ@`@YcwygP^afamZq[JY[TGc:>ZCB:[N:<rrMtITJduRQALZXVGpR]pNW<y^\\KbXn`UpcA^TideXt\\QgQ@`\\yQGyAmEX=HSMySasKWvpYuqSxB[dvKH?YdoUXFYHy]dIGyEgT`[VfgUuotk=BDYgOIwAgHD=E[EFNoycqdQmCGaewsHk=G=GGMYFAiSXIDbSX^MUX;rFyVEyGs;ER=ijEV]GtbwvAGfh]rE;Vbgt_CV>Cx\\[sPCxTkeMoSscY\\gs`cfksGkOb<_IbKrMCefggdgeXiE:AyLgBE;bKwTiWXCMDG;S;YrpOeNOfd?yj=FryHKEIYkccEIlKew=YeGHlQgSKcqmHkkIw]glscdUsSMsv_VOkiv=BbWrRaf<SFi[S>cR]EypwcrETTktFyRyGw]GHMSweQwEkR@yrIcuigw>eH@]i<Sf_qs@SB[qGaiSSkCAycdMf`_FwSSsydfOrQwc<SdMWd[ARwYU[mbbUT;Oe`[cX=CUSy=QvdKGqOt?GU\\kR>UrkIuA_hTSFwWT_yXp_sNGwridsSSCaIN?WDIGsQxO[wWCY_mXNMUAybgMGZCVnGFW=u>cbSMYl_sKWRWsGlQcgqhpmh=WrLlllDYbLoxDWeUl<iQGpj?Ykp`J_mxj`lVYRnHo:AU^\\kvPkG@q>ePuAOgaWt@uhtqmhmWllnIvgixEyPkHgN_pL`lcNogO_jnbCV^f>]HOa_EmWG@ehOuukqVxAylyRfWgZmvCeFgewfmvNgGEExnIvgaWMUxP]dRmYr;thUtF;B]iTAGthidBQDyggUmDcEcTcxbwE@=Il[WM=EkwTqCT\\qdYIuvGGUcc@]Hx_s[iwrUTMYGDYYsQfGYT;GthGFduXJaR<KD@uTyGi=QihAYkSdXSdXoiZOT^SXrKeeKUfMYKUfKmT_mw?ExHqvWSgrYhCwTdgv[iGmgT_suLcGYmIO;E\\iBZCV^=cHeCB]cckexsW^mUYGrLWXGoRSet;qs`mCakBLScguxLMUWaUycgrucJ<JLlR?drITNZ\\W]At:ItPEkUdKqmTnqXVmVAXohtQiAJqdLbXjuAQ>\\KJ=lgLMGpRtxqBXNM=T\\qriPLKiVShu;QLDmo_=UpdLbiMquWa=rn\\Yn=T\\qjQyjbAYsdYRQu[LuN=R<AjkptPUY;Mv<@mKQLtYtbAt_qn@xKoxk:`j;\\tE=UHuj_tx:Yql\\LqquJUS;TNFuQF<MPEY?qXNuTKUlrETJ`N\\hwflu]<VRDo=Aoutx_tNm`vhEURtXMIJ\\@NM\\N@yLimRv<R^iWm]YudmvLJLlJwMPodP_ANJMpfyoPMq^xWqaWOQolpKZDVJeqpuo^psR@OM]sIdU[po<TJ@]kx=Mj\\r?AptHJZppNIV:AP?YkPHo\\DXDDs:msbDSnxnNHWXET;HJLlJj<srElJHUdtneIQ@LTrupomjB@Y;^[Z?`Dol;IkCqZLOhq_i?i_:Or:^bV>j\\NitOZ=>dvGlF>b<AZbaa^?kQ>`<apL@Z=>^U?rBYdAH:KD@;BZCV:;BL>ZLnZ:>^[?:_Z:`JLw^pXQ]uTMqfEYn\\QyAs=YOV@qFQou<UBuVmEJ:`jKytfEtfm@PsiApbumsTYh=yjEfEVqiFw=hnWwhGitggnD@hUNsFiZ:N\\@AZ\\ibRh_P`_X_\\G`acalMYjyW]Gpbt`yHPv?_xN?xjxmOI[kidEx\\:>lJwox?]kAiKnaF_kCY_]Yv]v^pfgwFcFvjyGkjPlXV\\YH`kvdr>pjGv<QlEyZ:F[]?`<Q[F`QLV>]tNLtPeM=MQp]syLxjqrtExr@LH`SA`kjpk^dQQ=UGMLv\\kPETj`iZFfF@qbhd_^osAkaYjZ_c\\Hi_^[JFvrassp^lP]AOncVvW^B;E=UvouxpAgcUfF?obUWhPjvIJ:LL@APCxPX]LImLOeONxKGdmGiJ:TVhpLg`N;ELx=w[xj@xVH`n_mxbaK`EkDYybXN?MQ^]NtYR>XkDaKDdJwtNDlvdlKw<Jjlpd]TAHTjMuBmUhDSn=uFpM@Ey]XpKHmKmNkDRtQxUDkJYv\\D]J@`dGdGH\\p`b>Yc_axR`qsP\\oi[SxcOx]SpkHFwCNngWkI_]YPdv@Z:CdEfFIsTCYmeVx[svOFPEsKGYEgGXgUj?B:Ou_[C_[PRDMhioD<JB=M:<:<c:BC>B;B:C[:ZJD:`:;<BJB^[C:JB?:C[Zxe`?a>fhm`hSQhAFnYP]GprowtVgwrBLkrbYWpSeHKRy]GS]iBIR:DVbDybPtCunVpUayP:PmO<R<Aj;AmsTYhurmqOV=qjppuitb]Pv@q:`j;TjnLly\\xOqU:TN:Iq^<J:JFTjTipL`rIitVxY^If<?Zj^kd_dAH\\^WkZyoSV\\HHsUpiPamsg_AapNfsLIrvhyv^_?yj\\?^syogxfmqx\\naxp^uA[:g^dQdAH\\`WkZ?ftOitN]sf`of`K?i;_nZn\\fpeoPpLh[bPgsflYnlrgbH?e:vxsPganqGfmgPawx\\kyjChf`nm?>b<Ao:_aX_jIVkuftAFpZPrJHdyGbKYanwqlYtCH^VYkDYf>Ws]V^r@ZnYdgNeCOrD^k>_qBfsVhaq>[Sf]VoxZ>cXFvY_iF_`xVhtQvCQtE^_XWciQb@_yrhvoXa>YcVAy>Fk[arfItFHksWxPfdephGPv:Ftb_`tHqro:AXQIVn=FmOE]kI`SXr?i`YFwCUEib^iCQ=UcETJQeJcCAyBDyTg[DfKGioi[sWpIbA_cFiEIsGZev\\SD:KD@uC]ASYkFeoHIDTH<J:<L:`N\\@^PWmrGbxFdtPoyXvpallYsiPgAV\\UIu_QlMYahnEKD@edOAEOWGhUUcysI[xnev;eb?UYYwViiRRESA_CkQBZ]gMkRRmrFeSGefuOV>gejKwJMR^WDFMf_]fQSGgkW:?wxyvxeFUkTxKWniwV=ej[VBwL@<o@ut=ASYaSl`YSALPUVnyVuTOspKAev;]nFeJ=mUN<w`pP\\`sS\\Mkqo^dQtDl^tOyDkQnZ_p_g`^;GiJnhoykQF[cI`_Vb@OfrPlD^knQZ]HlwXsqFwXgZkYcM_nuFj@W^MvsP^kfVdc@lqorcUhWrAMVToi?_CkQj:dS@dn]ejGALGYOP]OrDynpWPpLydnj]QE=kjauWiNExLouqVH\\?>khoutHtko_y@lpwuXiuy_]:NYoxuQGvQbggUIuSYur:;H<[uUeD:;dj;GGiRlGBJ<Z@OsFvj:Hvo@h[QbAF:<ROpStdvnuJ;<R<AnGduYPodAO;\\Te=UhysvdPodTMxoAEK]pX<YWWUJJuPoyqXPROuXFPlj\\q=HJZpnVXS<>lj>:MZJD:L\\:besvL?RwesTWHi[EReidevZoHZ=TeoGRAbbAh>MYkGd=suqmRfYTV]yHgcXyW]_x@Ydj;fxwUFEtQcS?wUtcWgKgrMs;kYOkFPYGG;TaeWwGIuExcwENcg^;TqAYKkYcaVxQD<;dj;bDqY@cBcUFvYcIGc@yFLOSv]VnCUXYrFir`mGyCHimvfIwRatPqVq]EHQxpQfrucDkTWQXQAfUwheMVFmvaYWRCW_CEheht?RfAxd]HTSRnEGOaiPYdnUIhMySAhh[FKkTlqFHYUimv\\OsIqUxUhEWrDmVvQWeGWc_vdWYNaU?AU?AcFyEFcBiexnyROMrZ\\PUhSADnUTNmuZ?ye@GiIqb]YexwloGuuWn_qZ^oaOx\\lN_cyjKIrdhrEN_yagH_khW`b`j[`kVVg]hiE>yrytPGm\\HpUxwrP`eQ]LywJqhIV^ZFfjN[tHqYPx<ijEvjbwcu`ySpexHsZXvb>tPW_CAlxqZOQc<N\\@Vf^_^iqbU?tEInQIn^Xp\\yqvQqDy_yPxZNtSQo_P[tAxuIb<AZti]lN\\yHnaNuc`pIYmlVpBak`ngeHcrNeNWsgP_y`ylVd`ixnasVakhvdghl>Ps=^b\\YdMxxHa]pahuF]fgyFIumWoti\\Raq\\gr<XlIW]CyuNhxn`hSQx`WpsnswA`tHiqqbAwo^QbTiiuWyr>jiWm[G_NNowqqDv`]obGvkH_`vvyBYRIW:;E@\\ljLrfElxtxltOa]xsPyblU?hTIQWe`roHPDavm@XPPxCmORpUfYJZ=mLlRRUnL\\KFuSIuR]tn`pn`LyueP^`qNQlx@SKeQmmRv@yiE]nW<CL:TrK@P<ExrELx\\oaUnQATVeM_<S:TvPXJTmU[aTdLJbYmT]uQ`Nf@rB]rE@TRYp`hoemM^mu;=nFAsppo=tmxHS>aRdqlADm=IYqiVbuX]YQr<s[yUv@PHxQFxQU@OgXL_tX\\muTejdPjaUMGpRqtLIAJZ=keAPtxTvuq=HkptWSAlSEWKxXsPvPHKZ`ywEM`LusXU>EsrELOpa[AiGvbtIu[ioWF[qh_mneF_kbilm>Z^^k;Ho^qjEFkEI\\P^eH?nWipnGiuxjXwyny]tFwJH^XS_[ufMXVYD@muoUSDyTE]dckvu]Xo_rDshmggIkrBgYfMv[SRv?BdCDX_Y:Ad_[cjyHn=x\\ifuOV>>ge@ibvi=_jHqgSAtG_xcGiYoj\\YmLohmH]?f\\OFkPOlKO[SNv?>dOvxR`gQiidgx\\i^DcEQb[cUDwvo=rf_RCQiMOdeosfaHTqW_gR`Mgb;sJCeIeCimvBsXY]i:;EYQIF?hj;CuIyAYs=_xROv\\OIdigS?ycyuPii@KciEuJogQ=GX=YEIdsUWckiIQRS?cJscQCxPUbn]wBoeG]SPoESmF;atD?Y;;HbchuwGC]yvMr[WGXKyyudTsx_CXYMD:OINsucyWQQuoaxniXF;B];vxkC;;BZCVNQUwswBoB:KD@;BjKC`=I>[CogbEsDt;C:KD@[TcafMpwZ<JB=MnarrtmdPQdXyhquA<RAQMGpRGmsDaljljxim^ANF`n`Upcc[oyWiF[]CqsdICE[EwUax:[CKEfZaUL;j>B^<J:AI<WgqvUxWxUxUxuvmysyvItwh\\My]ykIryxPVAX=akSTPnIX;DK=<MvhPemtVdYnItQdUnEtJuw?=MIpOr@v<XKi\\qJYWDLL@<PruWvUvUtkrLvBhuquuwpyUPQsDQSdKihUupteuJLlJJyk<uPghfrqtUwgWOqnGwIqipYp[wuM?b<AZd`_kWqvI_yIwIwitwmwoxSQieioAPfQhtU?j>DW_F@?g>ccxugQsdcguQ?iQmUseVAcw]CwPQcxahY]rICDZCV:cVEawj_BgSTHoTOmthoUwOyJYRIcw`OI[CD@OYNqdKcGpOdTWEZWYhwb;Sr[ewteyyIexUJh=uhUqgQqc@SB]Wg=mJPYn]YLIp@<MNPweAPx<yxYpVlTbiUHAOYmXPHmlhVREyeyUyQulEv_MLIulc@ovQwt]lZ=j;tNFhJatm`Am<eY\\ASWlP]xy_iqJHJ]<mj\\udYLdMTTulfqoKQtwywyuyHLvE]pdAoQ]Rv]SATU_xU?\\KWdyj<R\\DOlxvXXYxIvItYbANG\\ShxLw\\K=mjdhJRtMHiN;HvBLKcQW:plOHJ_msWAWSuPjTWPaooTWPapuHrSXkg<UQuJa<j>yVC]shamO=lj<jpQR@mu=qWl\\RkXjHLQbYPYHyFARpIp=HueDu_=R<AjkElxDvmxWepY;YKX=pjEv<iPemtnaxlpmW\\UdTnZajR=nH\\x=AJD`WyhypYxaysytwvXxteq\\dSU<N[orEImaomsGx?y\\YAh=i[\\iZJoeYWeCofGImQf[ipeoPpgH]UQmX>oJqtUwgwivivisatMwcw`xLYcu_pDpa>Yk]ykyni\\gy_Nca_sJQaFVnO@`LF_[hfb?K;cQ;HRUifQhEuw\\iRy]eymysqUA=waoIoOd^Wx>=xjkU_GB:;SRctaycjyubSX>UV\\yC]GvradSWhaiSC;BnyR?ig^csekT^krVKy^WbEmbF?hLWFV;Ce=ILic]CxKGe=Iw;?yjMYmAfgSCHmIGifkIB@;djkFLuHySGsiXViVIUc\\Iu]wVWAeGoWNIyxGr=siRadegU;cII=EMcxrwyS]iYwRN?HvQy^]F?ySoaEBIWYWBYABZob@Eyt=E[UWEoG__cOGbYAiVieMIbxoFF_XksexCYoOuoKSO[cOMgRSxG;Bd=gyut=AS>_cvWdQUciGeKGupItleXhsf;;B]SejkFDuxAaSy[sUkWqMSRCY=sw@CfYkBJKXYMDJsG>YC:Mr:[rE;VR[t\\qC:Mem;VJefu=YXyRqIsZOdrETOqr^mGp[F=CRYAg=AbKUcQcyyCUnWyG;eVugAUuPkBE?XEceCUCwUvhkrjKF[SVbwHZwf?yYNoYVUg=[FF;f?eT;]ydcuwUgsySi=RrAhpgSICesMRyEDJ?H:_V[EEPoc=Oin;YwSD=]Rh=BCSBbUUNqcj;gY?v[MhCotx;dPsBSKB^[CZwb?aY_iX:CckIY?CYvewgqBWsFn=b>GBFOX:Esf;yAgfBytDMBLkBj;b\\khYWeKqWkmUCExiSR:ADkeIF;V^eV`KDkcB^[CZUbrIc^CTa=c;eta]CWIuXGxxWFXYSJyHTESZ=WDHkeqVHLoRxw?QY]iVyepWUR\\XTZMYqHx:`j;TrdDThlKd@mfiUfHwcqMCeLZDV:TJHqO:dTKyK=<W[luE\\rKAJ^\\KZPsJHNX=JgEtDMJn@NU=JW<TAHJ:<C;VR[t_gd^EwlgvKAxvYFIsx<atVwtE;b\\UbiWrBKsd?viGEMkcCYexmtVGY?YvmqFbSxfuVMmcUmhboxoQGIYWA;H>mBVubKkdOEr:axnaXnKpNsqGtb]UqekmQsIhtepT`ilbDkaPLDxmgaWDIpDxLOxqXevsew:\\NFpx>Yke@x[mUSejQYK:Hnj<sPMljyJk]TVeSgxLHtsVhQq<OnPjyUxxEn@yY>tNxMNaLmEMjyULMtvwTUjdVvyOxDR\\]sr\\TZ]N\\iRqyoQmvK`OrEsvpX:LwjLuJdVE@VZTpFTwF]TRhnEep>YpMtxPeoaxnFpM@ymDYM`XvQAOx\\M@Plbyu\\yTPYWA<nHTnlDtIQf_^bsqaSNkSHbwpeWh]swoW>jt^kLonaxn=QgFP[e>`twxMWaTVvG^dOIpGY[_fl^xZih]:Ai_^kjQaDFdm@cvVe>hktixcyaRHeNikUycaarei\\QiseilbWpb`a>>igAZ@Nfjio^VcPv_D_lFg^ENoDvi]qx\\y^rAodiueilx^kCp_\\peu>j[N`ZqdL@vaGhrOZ<_qNPcIHo=?jBPk\\@iQ_rkWy;_uExteNaLHx=OmhQxcip=>]hVl;y`fgjgI\\GY_P__rFynp[Pp\\yFtKirONwi_aYwopwuXi]y_]DncFnZbRVqVWIxqiT;ydRactaENswFGvtUDu;C:[DjuWO=B:Mr:;B^<J:`:;dj;B:C[:OR<SR<:>L;JL:L<;R<>L;j>BJ:;<kHTGvJ;thgfEqdI_vxeHTcceqgsOueYCZCVj;HGqVm]rpAWCQv?mUP=BCSb;YeXoeXcfWITuEBJeGwAH:;BC>fR^[Zhl^otVHiCH`exdg`o^Gp[Qh\\Hj\\yfmv^ewhEY[pnq=hv=>j>HtOpeNfq?YsFwaUfkcv]?NaRhff`cHochheupprOjZyu\\IgTQeZ>ZohnO`jxpvIpsLVbRfc:>ljNanVgHaqjyo=HlSX\\^iaUfkCxyU@mfVpG_ngh_iGqoHxoqvG?tSIT;VjoBMQSLsGESHUoElSYE]DI_Sfsi^uVE?vSqwU_IDwhaswSqduWTVyX^_yKAw=ev>aRdgw]Kgo=CAybISfPuc>YhMSep;c^KEAMDmQBZCVNcdeiTGEesCRAiff]DrKyJ]TAUsIYUKUiwSS@KFWKElSv<=FxcVX=eBaDYwD:CC]Wutgc<Gd[MBbgT;Uu;qYogH;uSaug>=e=KSHEw=wBZCVniT;UYAaRCohOOudku<aiwdtlyJ\\@Qg=wsHKjLxdMYhDSXurFqQNEKnapC`nrUrTiwUMUgqkQUWg]StlU^iQ?<rBAoKeM@mVUyRnLPkaWkUOC]YhPl_hXqDl\\@YuMuTQu\\AkJ]YBpJUEmKxTgDTJij\\TXPdtU<J]HVl<OMpVHqmUWuxf`i@ek@VTrxULctLNQOp`XSQx`UpSdusaOttl^Dt?XPd`sBuRGPjSMPuajpXYcpoH\\JiMuPxM>pXYquWtYVLLA=MZPriPpx\\LYIvQ@muUoLiob@vIxN:`XT<svmpr]V`aV:\\K?DK]DUuEPk\\Nayn:<j>HPn\\VE>>[CFQd?Yc@giqgC:KD@cxLAWn[E>;B^[CdkfpQB:odViiW<N[?Z^B:;<[N:<:<c:BC:C[:pxrPgrA\\RHauowJwgyatNatnaxnApfOwLhrE`q_AZ^^kkG`vxp<Fet`gsApfQbnHo:^hIW?;BB=E:;b>GB:;;KD@;BZCV:;BLpMThPaohYhgqolvHwEnlM_qDHvO^wQ?yq^kuV]g_ivyoZipUftQF\\Z?]Oqwt?]exdg`kDWkb?aT>nWQ\\tVxro[KpppHiRyhP>fN`k`W_C?dt`fP_gFhdcXlRyuFYf<>Z]>mjNr<v_KSAUFaKXduiEKWEYuTeXEQGqQHeig^UV@SUY;TluiLsgBeS\\[T`UwIeCqcDZ]CG;iO_FtieWGy=WIWMFPwgpySfCfFAXCQy:_sgmELQCLohpYWZSyRoCDCcG_sV?ReCC:Aia[cpUc;OSDgcX]dwSfNme_iwEARpIh_QSooy:;SRcitITU]UpaVxQfgAfFMsuigv[wCSf=Wdq=BZ]tLkR\\OtxweECsFAD=itDMdsGdgSe\\_YB=BbArjoeEMTl_vekWLwwZQsVSD=YXoib>Ux;UsF[TxQh\\SrrqS:;fIQWWubKoGNSfLUhUotqQv?_VxSeSAFLuyPMdPWUR]iYeXbQvJwtMYh_qRdawC;HRUd;yhjasSYXiWi`QwDmDQai\\er<WdIUgdEW>OGvEbtyWcQh_is`UXtMYtoyu?DhMwLgrEOgtUYq]yk=cHKeqsIJqdZYCaWh\\SfTQvu[yLSXYMD:;ftMD@;BZBL<J:KJ@@eUGAXBkb<Qt_UsgQB:KD@cTTOeTOhESv`Es\\iRhWG=;SR[xv?hk=D@QS]Gtj=D:CC=;gROuE;V>;wcIC:;SRN<ZBC:J^B:_ZJw^=ah?i_qnpZxtTfk@XoWGZFhe<A[nVMYW@ucrOIu;rrqFF?rnaxnwdGoUJUY;;T[cyj^>;BJ?@>ZCV:[N:<j>BbauFsb:KYaYbiyIEIR:[FF;fDUCHmIGIR:[^DHqB?_jnsnYr:BC>B;:<:<c:>:\\xJaosTx\\xqlTLQxUfXVE\\t>Xw[=r:Lv?QwOUOMDpZlQ`Xv_hXv@L:PscXr:HJMTK:DK=<ws=sb<WwDkI`KAXvyqna<SftNT@U]MKJyJTESZxTTxTfZMp[HVx>_d@y^d>`\\icXFk@alv@gLHaSoulOn[AgZfqK@rrOE_YTehqQIJ?HZwhY?urYrbYtUsGlyFtAuJdq\\tpaUJ`LYmUNbEK=LYe@yqDR\\pR[pWUxJJIPwAPZxunUj:\\NF<R@EJbajPMLbypruSIAWFMyc`XuHSnaW\\EKcqRPPv_AJnIr^=xgYPmmxVQoTQVUxTf@ovXPd]VcQp_is`UXtMYTYs@uO>twUQvIQRuxWiqmx?ZN?oTywe@pvptDO:ctM?H:;:;<B:>ZbXo[VqXnrLhrE`muyZ:N\\@glTfk@x\\F>Z^^kDHow@Z:Hf[x]@>ZZZLB:;;K\\:<kJ:JbV`VNZR>q_XsPXaB>bi^`Tfk;geiPd<AjT?gpVM?BNUWCQv?UBVUi>GBoEHwcIgAF:cDT[wWqH^[CTqHdgTtYBfWS>;EwKD@ceRcidcy;qt_KBB=EjGrBgTcYgw?BbodmgT;;BCSB@eu^ii\\yCEkFhir@[CpuuuyYJGbX=ERUGCagsSx\\GvOYgPmhoSVUUtaisXIrlMvUaulUvu_uHmrpkUfgUuoHx[Eb;GBSfCWiVuTOUsfQTkqspqwZSY]IrbaFF_RcYul?HHwSJeTkgEgsfv]DbAVPGhgcEEkYVsdyQRqiwY=XnQv_CXvAG?UvmsR@Uv=IHCGcMYx@yrn_er?ft[fUGu]YtamWRUii=HiMGRCu>Gdhke=wbDaWsYRNAGm]B\\GbFAgKGyeaIkKHX]vakcdMffySFmDYkGSeCJEsfIw[QgdCFvwgZ]BeAHTmvI?hwKFdmsR?sdeuBYelCTuKdQUxKsewShcafg?tM=h\\_saUfowrq_ImMblSYN]ipmR:UUOsIwIysquGUX@uxgGFSWhqghqMv?[cWMrBudqiBo[ECODtSH<_DAibDMgIMcQ]dqaWEiwFYCOeFauwayseaxQWY`edr]ya[W\\?Sb;yOMeRwddOhBUUc=FWuvKMX?tVIaoPEwaqWtUQ;uMNIxVMlliV^]YDaxVeMNhpcQUGpQfqVXQkDxPZpNOiLShqKTnKHtrAY?qYtIuldVCPxZxnOtKoyQePnFqLP`Qw\\^xHhpG[FpiWnboht[VbkH]Wogag]pWpvgqq`oJOxjn\\nGsfFyd^ru>b^xfi>wwGmbxlDao:AseQgT?dGHlqViNGsKpeu_a^pjC>^Whcu>iAGcL>^[_hUooAYmInZrh^_ysNHwfWae?uwQnrY]VyxuGy>nthGxSqtC>o_ytOpidhoGV_mViEikfGu@WdxHv@ox?HtF?]cqoIfwX`qTYtY@ywfakhnrGsgggaov\\PwmOcHGxc>kWop;Ydxpd=>fvPwjNnhq[Sxa;YxHInbwpfakivnr@xhQpZokivamXaBShwRsiwFaUNUs_yCpOt\\?fEeU`aGlsRqIEH;fPsI>OblCW`awsgTWqxcGY?Qc?sFYotGQtdAxe[u?IIDgGWmhvHuFpwvmLimNi<qZLTtIuFIUltoT@thintPQJ\\qcUUx=LTiYuulYpQk=S;LypisPeTkimxqSmuWOMOuIPW]uFmmsaWkAsFIs:<MDLL@MppQV<iXe@JZ]xLlrZUSqEu<<J@UP[=PNllflUNeTmeM:LL@\\oMAWn\\M><J^\\KdlnpQV>hx[apW<VF]uAIN:LNlhJZDfk@\\yh]QXemGZ=_beF[NQeUwhsQc^y[ON\\:`j;^pHF]gV\\=GyBG^E@ZLnZJodsauZNd:N\\@>sGFsUfpnIaq>a;aZbAjXpmJwxrGdjAplih?XsQinN>wXPaF>ooPvuIsoqgWgf@YZN>dAHZ:>C;BZCN:J:PWbIwCumfdUp`q`YURAWn\\uNiK:MrZ=ynTmGQuhUuLhrE`q:=JLnjOaxnahwv`Fgw?>bo`X;JOYTAHJf]lsEjjAwtqmkIx_tnFYqOMS`QPmqlVxpRQxUIU`eRWaw`mvniOqiY\\XneHmoXqC=P@EK]mtVHiiPeSwp?qfHqexGmwNuc>wm`rGQvan`wH]D_irhocV\\_@fXalKYrrQlmvw@Qdlgw_ydNiyhofh_iEanOYtQA[@VgJho^Fbc`e[Q\\tGd:ylYofnffqYaonmyNmEx^bWwXF]]nh=gkCYi_njA@_l`hsXy_vlJHaSGyox[pOshveVGl<fhR>t=QZ`PusWwPGoJnwB_ir`ctPwmqwAyiUwfpv]n`uX`scOugxyIYeBOqlH^iAZPHeKofMocXakcynLi[nflNObb@r:OrRAyUwaXAqJfytykIH[@XncO\\M^^P@dlGdggtF_^Pn]Yhak@oraZT_cbieBAomygSQx?aftpmy@fPppDpuhOv?abfxy>WsOf^``ge@gIY[Pfe`ibkQZCVf\\N_uY\\S@nr?awN`k`jn__bVpbpp\\FdtVe^n\\OxpC_lvIpR@yoP]of[^NyGilsivQ@mq_cd_h@VeAHth_gDwgmWshy\\WyrEPcP_tlAvq?pFasxp^dw_J@`tW]>O\\=fuiNouIu_?kdPcDaqifvj?axYuwhud_vlyquyjbP]]Put^kli_<fqEqbSh]<WqIx\\?ygU`sOflYWfXwsMQlOo^w@iUOwcIk>HttPlZXsC>]OQjmObYopx`]>@yCh\\KQwlViQ_lYPprgb?fm[NvcVpFQuaNhtFyP^q;QaUGdEqw`V\\gP]\\OtmxvWHjLOxoNmRFqHnsB?]wPoh@sEx\\HytRvjthkHxm_XyvPdVYa[XpcV`Ay\\aykPX\\Qxag_nQV_dnefGm?`hmOuEwla`s:Am`^kFA`[p^=ygnA_X_kgyso`seo`:>CEgjCDW?ckCdMEeKsIOWFXKHLIX^gv\\OS`udHWIU=wfIuwef?ExCwY]qTwGFO=B=EyGsENgbmsVIigdqhIe[kDslW\\dRTQt_UsUfsbqsaGdeNh`gv>GrcaiSXp^oxCfgex^]?x`hgsIbbwxgiexOy>Ir;>o>GmiopX_\\YIvqOm>HrZO\\@A`xo[_^[:Orbvy?xwXQo:>boa^F>ZZPihYc<wyfFev@cEN]:`j;fdd_`Tn[<>j>T?atX=BFgDwAH:L\\:>B;:<:<c:>:>b<=<><SR<:>]wnwvobSWcQtAUYASEGobUYh;;SR[C:UhSaEOiUUMhrEdQyD:MrZ=V`wfawRluiNqU:[TEuIF<j>J=HJnPlFQmmtWoQoOhrM\\j=dJMhpV=SkQl]dMf\\nuiM><JCTnpEy]DlFLuglsMTLEUJWYmV`mVUqpeWkaJ;yq?Ytnhp:=JdySeDKwAsYdm_ljjLm:<N[]pa\\Wm@KxikTtO\\HPMDpPdknaVsUT@Ul_XU=MShuco`^@X`qx^m_[:^kgHZqPl>gkNFv:?xQHufGlR`_TvmRpai?aWVg\\YcbvaiGrparAnraPh\\O^OqxKftt^j]YrAHdexb\\IuChcU^bLfk]FksGZJ@`TAdlx[>gjWg^dFwAHdjVcRNi@I^X_^<Wb`_eB^ra`sEV\\SPvmQZZFfF>mpOkxV[m?bCI_Wn?MrRkTH]CS[g\\ah[wv`;b>GHnQgwcCo_YOAsRwT\\_DN]T^KUC]YpAB^[c[GCMCxx;DsEx\\sgawV`aiKAsPgieKsIEI\\MxlOR;uDD_sS]VH;bKUGZKbLCX`aOeVualO^Mov`KT]CWcQ`U\\aGts`^ShlMFiaWk^isLHua^pWYcosBkung?qiwWsI>u<^xgmEPvu\\yHUlj<wjDVFHvaApaHK]myKxjuuk;dlU<V<AXqqXR\\q@Un[AN:TN@Mr:HrMewA<SR\\kohNExLcTK;<lj<oLPmv=J^\\KdxnpQJ:PxViqW<JJ@@_J:<<\\NF<J:C:B:_ZJw^h@q?fanIrqym_A^:N\\@xoN?oLQjMxcm?\\:F[=ydd^dFihPIZCVrQC:[TCuSI=B:Mr:<c:j;>b<MLJ[C^<:>L;JL:L<;:[N:F;<lgmj==tETSQhOq=LRDSGpR]Qqemop_fTHauowJigmatNatB^]sIWMYRmcpAhfMWnGrEmDiKdjKWaGufMIB[cRoWxWW@arjeri?wq?tjeDuEeCCgxyRxKITYrlqFcqyaOh>GFPUf^YG_afMmkjLYA`kRELBuSC=MjlOtHo=yUr@X[XJB<SR<rbayHeJ@vvL@:_b;<\\:rrMgZwE@agsS`Q[MIu=HkEyo\\nq^qkqvoLVlMXlKAxTipeWeH_ulOmpwn>NgefyopdvibQqtQAfixpvxbYquwyuxarX_tjWgAHx:xsbpxmHthq_oXauWqiviWnaqHkV>\\`hkHXl;_icOv?>dM@fNn\\xg`ffle^_]nZU?iqQqr`oWOrBwgq?xj`yHahsVyJP[\\GbvPc=nZ\\hv?i_V_eEphEPwngl:faDx\\=QdVouaxnA_^vypmxpW_ih@grNe`abPgZQWqEykiWe\\Gm_vtXIuXi^d``<GmOi<=IxyWtMb>QX\\Gc?KETiCJKv?egDodvwwSoGyWVuMUY;dqGusuUggxSYcpUCEOefEVIUcEIrNIVNwcWet@eghYhU]YpAXr_vlStmkhVYiref?MfWUFXavKmfMeRr?gnaVsUsCoboAuZSH@]VPaVBwD=gG[KUxEvnIvukhWQSEObpobPWEPqt>Ybg_IbUgj?gCGrhewFoUiYUgoIqguiuSvEC_ydPsGlyFtAuyMRd?fWAd[kUF[yQyYUuirsBuiEUsGtUSh]SN=vOafJogv_cZwYCSfxseUasXQuwhQd]LbXh[neFFdoqbGvqcWaHf[=^uAGl\\__LnbiXy[vn]VhYquROx>VbKN`>YkTxyFOo[_xcPgUa\\mipdn_e^hYp_Yq\\C`wSqtuo_KakQxdioteuPsGyoCy;Fnet^wC[Sr;=EDOX_obY=TWyyXYEdiucyv;UErEXSqgScDhqXACgdcIu]XNQfaOxHMbduhy=T`xS^PyytlVUYsEwMYT]yLn@seaJTtYpDp>`X_@SkQX:HtbtTDlNbyyiLunyX]]pGdOqTqghYfxvE=PRqoohuNtlweys]MfhX`awsXrxur?QqoawWMqfEimHawfagY_LPmBna]iuvOt=ypnQl?Yk@?veQnqOyv?htxyXY[YotZ?^rQpTnrQhhrppyN_Qnj_AdAwmtqkaihYO\\:>ntW^L@`n_\\<>ZCV:yGe[FF;JgM][>jkFpjGv<S:[FF;fDeGimfDAeUMifEi=?b>GHVkdfkU^afxKWoqbn=DNWtsmf`ofVCYUOG[]CAoR]GvZ;rrGE;OXTIdqGgLkRWIgw?bk[f\\?C\\aeEMRrsIDEB:;B:cTLCTJ<JJ@@_:BL>J<ZRB::D;;>BZBB:;;Cu`]ByiGV=iJDZb@t^InAp]dA_:>ZOQyyIZ\\>mewrMQhxGm:>Z:>ZCgbH_bhPbZOJ:::1:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlXXJGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiU/akYqLSUpQ0hJTERSRU5HNiI=Figura 6 A restri\303\247\303\243o 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 leva a um m\303\255nimo de 2 a LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNictSSNtb0dGJDYtUSomdW1pbnVzMDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjkvJSlzdHJldGNoeUdGOS8lKnN5bW1ldHJpY0dGOS8lKGxhcmdlb3BHRjkvJS5tb3ZhYmxlbGltaXRzR0Y5LyUnYWNjZW50R0Y5LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGSC1JI21uR0YkNiRRIjFGJ0Y0LUYxNi1RIixGJ0Y0RjcvRjtRJXRydWVGJ0Y8Rj5GQEZCRkQvRkdRJjAuMGVtRicvRkpRLDAuMzMzMzMzM2VtRictRkw2JFEiMEYnRjRGNEY0RjQ=
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Esclarecimentos Gr\303\241ficos </Font>Adicionais</Text-field>Para o estudante comum, o m\303\251todo dos multiplicadores de Lagrange \303\251 "m\303\241gico". O que fazer vetores gradiente tem a ver com a otimiza\303\247\303\243o com restri\303\247\303\265es, e qual \303\251 esse par\303\242metro misterioso, o multiplicador de Lagrange? Os alunos bem sucedidos s\303\243o aqueles que podem implementar o algoritmo e resolver os sistemas n\303\243o-lineares que resultam. Para muitos, os exemplos que n\303\263s apresentamos prov\303\251m pouco esclarecimento sobre o que o que o algoritmo faz, ou por que ele funciona.A figura 7 fornece o esclarecimento essencial para o m\303\251todo dos multiplicadores de Lagrange.
QyQ+JkkicEc2IjYjIiIlLUksY29udG91cnBsb3RHRiY2Jy1JImZHRiY2JEkieEdGJkkieUdGJi9GLzskISM6ISIiJCIjOkY1L0YwOyQhIzdGNSQiIzdGNS9JKWNvbnRvdXJzR0YmNyYiIiIiIiMiIiRGKC9JJmNvbG9yR0YmSSRyZWRHRiZGNQ==QyQ+JkkicEc2IjYjIiImLUkoZGlzcGxheUdGJjYjNyQmRiU2IyIiIiZGJTYjIiIlISIiJkkicEc2IjYjIiImFigura 7 Exemplo 1: Em vermelho, as curvas de n\303\255vel da fun\303\247\303\243o objetivo; em preto, a curva de restri\303\247\303\243o.
Na figura 6, as curvas de n\303\255vel para 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 do exemplo 1 s\303\243o desenhados em vermelho, e a curva de restri\303\247\303\243o 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 \303\251 desenhado em preto. Imagine caminhar ao longo da curva de restri\303\247\303\243o da fun\303\247\303\243o amostragem de valores gerados pela LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGQUZBRkE=. Em qualquer regi\303\243o onde o n\303\255vel de curvas de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5s\303\243o cruzados, estes valores de fun\303\247\303\243o estar\303\243o aumentando ou diminuindo. \303\211 apenas em um ponto onde a curva de restri\303\247\303\243o \303\251 tangente a uma curva de n\303\255vel de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5 que os valores da fun\303\247\303\243o objetiva n\303\243o podem ser nem aumentados nem diminu\303\255dos. Assim, os pontos onde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= assume valores fixos s\303\243o aqueles em que a curva de restri\303\247\303\243o \303\251 tangente a uma curva de n\303\255vel.O m\303\251todo dos multiplicadores de Lagrange encontra extremos procurando pontos de tang\303\252ncia entre a curva de restri\303\247\303\243o e as curvas de n\303\255vel da fun\303\247\303\243o objetiva. Para encontrar esses pontos de tang\303\252ncia, o m\303\251todo procura por pontos onde os gradientes ao longo da curva de restri\303\247\303\243o e as curvas de n\303\255vel s\303\243o colineares. Isso funciona porque o gradiente de uma fun\303\247\303\243o \303\251 ortogonal ao conjunto de n\303\255vel fixado para aquela fun\303\247\303\243o. Duas curvas que s\303\243o tangentes ter\303\243o tangentes paralelas e, portanto, gradientes colineares.A equa\303\247\303\243o de defini\303\247\303\243o para o m\303\251todo dos multiplicadores de Lagrange, \303\251 a seguinte:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEmJkRlbDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTExMTExMWVtRictSSNtaUdGJDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUYsNi1RIj1GJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjc3Nzc3OGVtRicvRkVGVC1GSDYlUScmIzk1NTtGJy9GTEY0Ri9GKy1GSDYlUSJnRidGS0ZORi8=simplesmente afirma que os dois vetores gradiente LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEmJkRlbDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTExMTExMWVtRictSSNtaUdGJDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRi8= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEmJkRlbDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTExMTExMWVtRictSSNtaUdGJDYlUSJnRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRi8= s\303\243o proporcionais, e portanto, colineares. O multiplicador de Lagrange LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy \303\251 a constante de proporcionalidade. Qualquer ponto que satisfa\303\247a esta equa\303\247\303\243o (e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnJiM5NTU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RKyZOb3RFcXVhbDtGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS1JI21uR0YkNiRRIjBGJ0YyRjI=) \303\251 um ponto de tang\303\252ncia entre oos conjuntos de n\303\255vel de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= e a curva de restri\303\247\303\243o definida por LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=.Podemos ilustrar isso com uma anima\303\247\303\243o. Para este efeito, obt\303\251m-se os gradientesLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUYsNi1RJiZEZWw7RidGL0YyRjVGN0Y5RjtGPUY/RkEvRkVRLDAuMTExMTExMWVtRictSSNtaUdGJDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRi8= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEmJkRlbDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTExMTExMWVtRictSSNtaUdGJDYlUSJnRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRi8=
Note que temos parametrizado o c\303\255rculo de restri\303\247\303\243o, e mudado a escala dos vetores gradiente por um fator de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIi9GJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMTY2NjY2N2VtRicvJSdyc3BhY2VHRkgtRiw2JFEiMkYnRi9GLw==.O procedimento a seguir cria um quadro de uma anima\303\247\303\243o que mostra os vetores gradiente ao longo do c\303\255rculo de restri\303\247\303\243o.QyQ+SSlPbmVGcmFtZUc2ImYqNiNJInpHRiU2JEkjVmZHRiVJI1ZnR0YlRiVGJUMlPjgkLSZJJnBsb3RzRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiNJJmFycm93R0YlNiYtSSVldmFsR0YzNiQ3JC1JJGNvc0dGMjYjSSJ0R0YlLUkkc2luR0YyRj4vRj85JC1GOTYkSSRnZnRHRiVGQi9JJndpZHRoR0YlJCIjNyEiIy9JJmNvbG9yR0YlSSRyZWRHRiU+OCUtRjA2JkY4LUY5NiRJJGdndEdGJUZCRkcvRk1JJmJsYWNrR0YlLUkoZGlzcGxheUdGJTYkNyRGLkZQL0koc2NhbGluZ0dGJUksY29uc3RyYWluZWRHRiVGJUYlRiUhIiI=A anima\303\247\303\243o em si aparece na figura 8.
LUkoYW5pbWF0ZUc2IjYnSSlPbmVGcmFtZUdGJDcjSSJzR0YkL0YoOyIiISwkSSNQaUclKnByb3RlY3RlZEciIiMvSSdmcmFtZXNHRiQiI1MvSStiYWNrZ3JvdW5kR0YkJkkicEdGJDYjIiIlFigura 8 Exemplo 1: Anima\303\247\303\243o de vetores gradiente ao longo do c\303\255rculo de restri\303\247ao
Na figura 8, a linha vermelha \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJkRlbDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTExMTExMWVtRictSSNtaUdGJDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUYsNi1RIjtGJ0YvRjIvRjZGTUY3RjlGO0Y9Rj9GQS9GRVEsMC4yNzc3Nzc4ZW1GJ0Yva linha preta, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJkRlbDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTExMTExMWVtRictSSNtaUdGJDYlUSJnRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUYsNi1RIi5GJ0YvRjJGNUY3RjlGO0Y9Rj9GQS9GRUZDRi8= Os dois vetores gradiente s\303\243o colineares a quatro pontos onde o gr\303\241fico de 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 \303\251 tangente a um n\303\255vel da curva de 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 Estes quatro pontos correspondem a quatro extremos encontrados pelo comando LagrangeMultipliers.
<Text-field style="Heading 1" layout="Heading 1">Resolvendo <Equation executable="false" style="Heading 1" input-equation="" display="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">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</Equation> Passo a Passo</Text-field>Para ver que o comando LagrangeMultipliers realmente configura e resolve as equa\303\247\303\265es 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 e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5LUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkgvRktRJjAuMGVtRicvRk5RLDAuMzMzMzMzM2VtRidGOQ==n\303\263s podemos implementar os seguintes c\303\241lculos. Primeiro, tendo calculado os gradientes LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEmJkRlbDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTExMTExMWVtRictSSNtaUdGJDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRi8= e 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 as equa\303\247\303\265esPkkicUc2Ii1JKGNvbnZlcnRHJSpwcm90ZWN0ZWRHNiQtSSdFcXVhdGVHRiQ2JEkjZ2ZHRiQqJkknbGFtYmRhR0YkIiIiSSNnZ0dGJEYvSSRzZXRHRic=onde temos usado uma multiplica\303\247\303\243o expl\303\255cita entre LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEmJkRlbDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTExMTExMWVtRictSSNtaUdGJDYlUSJnRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRi8=. O ponto que aparece n\303\243o \303\251 um produto escalar, mas a representa\303\247\303\243o 2D de multiplica\303\247\303\243o expl\303\255cita. O uso de apenas um espa\303\247o para a multiplica\303\247\303\243o escalar de um vetor n\303\243o funciona corretamente no Maple 10.O comando Equate retorna uma lista de equa\303\247\303\265es, mas momentaneamente, veremos que um conjunto \303\251 vantajoso. O sistema completo de equa\303\247\303\265es para resolver a equa\303\247\303\243o de restri\303\247\303\243o a inclui. Esta equa\303\247\303\243o adicional pode ser fornecida para o comando solve atrav\303\251s da implementa\303\247\303\243o da uni\303\243o de conjuntos: o conjunto de equa\303\247\303\265es e um conjunto que cont\303\251m a equa\303\247\303\243o de restri\303\247\303\243o.PkkiUUc2Ii1JJnNvbHZlRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YkNiQtSSZ1bmlvbkdGKDYkSSJxR0YkPCMvSSJnR0YkIiIhNyVJInhHRiRJInlHRiRJJ2xhbWJkYUdGJA==Estas quatro solu\303\247\303\265es podem ser classificadas com uma estrat\303\251gia, como o seguinteQyQ/KEkia0c2IiIiIkYmLUklbm9wc0clKnByb3RlY3RlZEc2I0kiUUdGJUkldHJ1ZUdGKS1JJWV2YWxHRik2JDclLUkhR0YlNiRJInhHRiVJInlHRiU3I0knbGFtYmRhR0YlNyMtSSJmR0YlRjMmRis2I0YkRiY=onde cada ponto LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJ5RidGNEY3Rj5GPkY+ \303\251 seguido pelos valores correspondentes de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy e -I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibGF'6%-I#miGF$6%Q"fF'/%'italicGQ%trueF'/%,mathvariantGQ'italicF'-I#moGF$6-Q".F'/F3Q'normalF'/%&fenceGQ&falseF'/%*separatorGF=/%)stretchyGF=/%*symmetricGF=/%(largeopGF=/%.movablelimitsGF=/%'accentGF=/%'lspaceGQ&0.0emF'/%'rspaceGFLF9yIpyIr<K_Tn^T^;N:L`^C:yIu@K\\PqkhpvF:CZ:N;xYqo[;_fiOf_CS;P:FZyYUCND<KB`KC`kMXkEXLSTlITLStLMTLMTLQtmTPmTP]x^b;Gb;GBLN\\LN\\::::FZOF]S>^V>^`>]Rn^pn^Zn^p^bpV_en`>_b>OboNb>_b>_B:::::ry;pB\\ZKa:AR:?K;@k:HjB@jyMfOL;Hj:@J:B::FZ<^Z?VZ@FZ;FZ;J:B::F:AB;[j:LZ>VZ?nZ=nZ@NZ<V:@J:@K;HjJ@MCLjZ@o<@prDlCLk:AsJAuZEmbENc<yjEPsHlD@Y;EsSLM=HNLDTSEv;QmB@J:DJ;Dj:LJ;Dj;V:<J:FZKNZLF^=F`;Gd\\N`[Gh;PbKPdMFnk`ZyQUSr:=J;@k;@K:x]pIgd?[PPcgplcGba?d@?nm`yniq=WoBGtNI\\b`_iAdY@oDg_[@o]>dSoyuwnainPvqbX^JKwlMtETgeK;Qm<xsmITdil^pp@HNGQm<xSoAKoEk?]Po\\JdUky\\t]\\T_p<aeK=WmIexCFicibdm=MMolKeYQNYNNo`bOwVFtbXhSoq[p]_@_SinfXh@GpGqftajHhvon`cWwVFtfXhSoq_x_LOmU``oqkbots^oIQdIPdT<jYEoAkTPMA]@^dI`dTpnGic]Omonkew_Oi^dYlMofhHpGQ]Ai`QPwLhxCGomxdRovGXfTXsoA_oIcd`wNqtsVnRovlhyDgaDOgf_tP=NdwNdd_gN=bLAEVMTjecGM]MatPffU@oLq]aW\\NpbeOawirpXsPWpIFvCPeAI[Pxfrvj^`tK>oiV_aaeyNxEouLgxqw[vijeoylvmnyjd`tK>OUSy?XvmiyObFOyp=F[CE=WFJYV\\SyMkIsyGwIvdgXHA_jpxWYbFAk>Nw]V`LxwdylwNeSYofXh@kldYLqUcd`OqtsVNDuXIoKQWuhtNIue:OxHcg]UYGUSeSwVG\\^OynPi^`tppprXx@?qmIe=vhDXfqOkdopPytX>gPmIUoAUOGUSeUwVHDNdwJEQWea=fYucLov`e;rect]ttLQuttRnXWIhpMPwLexcEOgeykqVGHx`MPwLUwLUdUUY]usU>tkPyMedCgXHjxDoXBUghom;pUcb`qnttbP=NmUh@:beGWmutRoVGV_OY^Oq^`hsW;ZcFom<VSKTwMTdHOfTx@cleYLoIccXpMGeaeKfFdQL;:LSdaG:cfXC?:LtXs`e;:dC:JDmpdUGNP_L_@oSYOf:\\ntobGiEP=v^dQlQpf`HpGQ=eS_Oy^eYDGTmU<v?ASoEs@eSGW>xUcB_SEog@fYDobHuc\\_Gl_G_t_nNudS?P`N<M_@;C?qtOkdsbl`n@iVMQtTQQ<PWGtTdut[PLMLk_PlI]uOTnfllpEV[`THMkZlvMUPv<qZ`v=QUcDr>\\M<XnIMLf=U\\XMl=Rf@tHIM;EM\\TTnIJ?QKTYl[LsfmJOEkfTTfUt:EKBaLSQrCQK\\evfPjb`kg]kI@k;pu]Lwe=SBYYPiqPYM^tV_XY_`wGTXp^gxWg^XvKv\\fnbMW`JwqTIl_vhpHn?^rZIqppcL_hSQ^Bh]aVbp>_GIZDxchic`nvbpcrWnKObl^bHFsL>dBiaBHjDycGa[Fht;FlBo]bWZDOZ@vcnFaB>c?>b^qvX`nYPjU^\\N_m^`fA`h_OmcFq=_lNXv^Pfk?dDg\\DQgpng]xd<xoN>yXHZN_uiy^y^Z;_jrFvChd?AtB@fRo_RHvxGeVhqPh`kN`_^vmO_@fr:iuMFlDn^?Qu[vjMg`Fisl_lQY]hVt:prA?^o@ceifTAhR>s^yahO[oNbQg]ZVqwQtaYyNHgb@uZYf\\^iLOyqg_T@_GHb<Xxpifmwo]pokFdagcx_dRG_tP\\JX[GvZ_n[M`nOn[L_aL^tm?cZHv<H_Ch^b`lVNZKO[cHmZ>s_Hm;_r\\@mK@b_^_<@aZf`cNg?ab`_mm?boQf_@obH_bnj^OsH_dD?ab>slFdNadDPjdh`NNa?o^OwcLg`NVp<GnCp]B^tLWb\\h^b@xIGdJowF?_CPwGOsI`ZSAboY^Q_`LpfKg[KIo?O[@`^RHl\\AnR`bBWc<PiDXjc`fZHlbNhL`g\\xjb^hm>nZ?\\;V`^nqcOnMnl?Q]Lxsw`@Csb]TlmrbCs:cV@cbR]d_KTZ_hFMTascf[D<_cJWR@;CASVnKWvMt^[EbsRbMxJ=CoGBc?BNsHn=fLkHj?IJwUTmEvEC[?vsmwcSh[mB]gfRQi]]C_CSs]SEiGsaV_YxR;eiGrCYy]ChECW?WHXofUms\\AsB=h=KXlmJIDTb`XltRlQU;LNJEkSDnFho;LsWLLAMy@dVghSLtk^XMT<olqMxLsidSj@JieRbewDitidWSUQQQuOiYePLVenfllwEVbUS_PrvmLTEt[Ls_XL?LnSLtK`r\\xKnlKvITNTyDTlvdmphRH@SCup:ljlMW>mN=Tnb@JJTT;lnPAtJLsFQjgLnfPLK<RCLvfLptpJ]auv@qwIpIeqYmuY]vPYVh=q?`juhxAmxlmSwQLhPLlLrK`rLDrtMycpkPENV=YFtslLPtplOISV=SZ]qkxw\\iPqXlZYpSilHeooer@QsPuSKauDDlBmjVeTN@j^DSN\\RHEOOLNS<NOLr^mK_TSnTpZDkFTLc@j=DSKYlRmJLmVK]WO]rSItLLL:QoBLPILVlURkQO\\ho>avFLxLas_hR<<OfAXGIKpaJx@SZTNLLtRPVS`odlMCAL[gcVQpDHowFnKPr?wbKIePPnO_wQ@cK`dGWpBa_Ia]o`]jivwqqgXZVGZQh`LouWxbBFlVIdZvf]ff>HkaO^rIZCAhdx`hwvwY^[n[H^d=QqrIolNwhhgHqsY@eDQdXftPgd=qgCVhcv]tWtlPqdwlQH_DWurnrRvpy?ZVX_^hyoAmpqvqhaoQrA_dd`hcAbrWniF]HiZfob<Gr@xZBhdqVeW^p\\f^]vmTYfYHrjWuWw^LavJPemF^YHpsOxEA_Wxoiwhror`N_cPnNGe[fa[_tlp[uXvkF`jWvk^e\\ViL>a>^rk_wBWvTPt;xs<dH]V=?FM=XxOGc]UDCyH[h;KCH?i\\AD=_T:cHckCBCEtACE[iMst^Ar?]DH?GnmBB;U<Sd]sR^[V:OR:KdscFVIh^]E@Kg^IEGWXLGsKER@uC;CIb?eKOUoaV?atBKFE;Y[]fguhmmX>_SseH\\ovp]XaAWUucOmH=mF<SU?UE?mVLcftGVh]SJMXAQYi_icMF@UXjur\\CVSMRZKs?MVlgdR?EXMnsDO?LQeULfHtsPPThn_Is>YqJHmBPXDDvKHKXPsJYUcuk_`LO`vDHmt@MZexu]laHqU]RsLpG@UgxSmXm]qyJEKCEujlOoXkE<Wv<rVaqwuQsxiDgbIAkSWsRVxjvvShrEvnWxpay_nAoUpxZYaY`xeXdga_gykuQb[^he^lffjfHfLPwRI_gBcshnkBRkVkCE<CUS?v\\wCDmBx;c=KulCrS_VCIFY[Vl;I>?B\\[ra_M?QncupnLX==o\\lJLaxS<t]LkSTPI]Nqdp<dsfTlrpNDENFHTLlqCAMbTlLpkfATrqNVET=aoGeUXaUVWcGWhxHl^_[rovP>xDanR@q`WdfGoR`mmW[lobp>bUw[pXcIiohvlrHgTf^NpqYqvwYwipfqv\\fqsMfsfNpNvv@^_MP`mQq\\@snGuFNn\\@u\\om_?`WvZZAoFGsF^d:@hP`gKFdC_mcHZ@@_PpcO^dl_b;Gsj>]\\GjDP_xYukPgQqxfhobhfgxeTIpevZfflEnrD^yl`dh`Zb`td>\\SNk:w`BHoFGaF_vCoxb>oH`e<VljNhYPg\\>`@WcDwfL@f]N`baj<_cdafZNn\\^s:`\\B@cHP[\\`_<`\\ShdYie^atB_srQbkx\\nVl=y]wwiWHgioprfZXG`mN^k^sPH[gn_ExbU@qPQh:htgAvwXlkyrnYxAOsywg;gc=ggNWgY^lvgdeW[OPgcAfdpfvphnysl`_PPg?_[PPsfVl`ns<h]NGbJ`dBaf:hDCE\\_DDGUJ_j@Pv^Ds`MO\\LrS`lSLLaQoBLpAQLK<KheNNUX`mKJqRf`LFduFHUgLNs\\Kl<SmtQ?XnM@NHxnVQKI\\MLYnTTL^mS_HNYDWOmrRaMNIuuatBHVk=R<HNyQV:DNYdnMlsXeRZTP_Pm=<klYnwlmk<O_IlbxXjeUelm`PVeHUwYs^\\y^qu_yvhQMApwbpvOiw;lpkYuAMpMMY?tWkuO\\TNgISLYUAIN:MxWdNAQV<mThiNJ`nuuLQhN_aqEMsEmmMmok\\ksuLFIySLsyo[L_mpFxZ?]j?k]YymOcsxuy>\\=`r`?aahp^xum^gwim;`g>Q[e`lshZbXwBXkCY^c^m]@]_oQIR:KVQOu]wVCARxwuTCfMkf:qUowW`?bDev[ac\\IyowrSmhnmikuSo=GEyrqwh?eV>SvrKwxgBQYD[wVpQGogvpmGsidUwfYys_WruSFUGyWeYsAgrcrM[DdwuJSYB?UTgsLKdO=EfqVfwTh_hCOgQStYQI_Uu>UbHWidyI:gimyCcGYeeD<[VL=i^aiw?DW]BEEg>gwTcwMYue[gckDoEHXgVfUY`GhSwEpmwy;RVOwIifrcrMXtSDk=lMeMMJlPI=SPuxjqoA@ju=pTutCLskmnq`WFTvuXxbytdtqr<YkejRMqJXu?qVr`XUqJMivaUsLluKPuk\\shxuFEulhvriLDYNHEUwIVUaoa]kkUynpsxIn@xMBHTetxOqtD\\rBQVcpKMlQ[qxTaXsetbEL]lKCYPGDXMlvkDUyao\\xLquPQarn@mutJq]uHPyiHTkQKAdtydthARehtnhMFV_m?]]qdaqkWGqVYvvf`HPy=`j;xkigZXA`volOWy=_cCGa[GxTgeFVwIXkbFoV`b>gfIXoWGi_Y`PHasijKypJnks`fdxcw_dIOuyesQrHOWwmbuSWFMfTAiwIhtOwnagfSxPErDsbYwYMawmsFHEXgugqahSuhbyUdSCG_y<iSc;hLsHOiyH=sgYwOsb:YFM=F_QfVodlAG<Yw>SSWshwWdq?e@ieuMidoDJ_BA=HQuWYysb?qodMT`Rr<VNtjAyLdUKk<QuUSmimYdWEtRwIBtpj`OLAMLLp_YmrHwmXu=aSHaMuutXUL[Epj`vo\\L?mrRAyNtrvtOfXPmqmdXYsUlvOwUVcnVc;?sryjOybmwawQluOdxpZc@a[QvDHwv^yy^]rVvkqoYYcchgK_rpa_Hhn\\vgIq^TWqcFk:As^ObBiurypafqmwr@QdeIuHAeqNygGhhxol^s>VbOhKOioWISCDI[Sr[BgoS[ogG?WfmI\\QrFQeHQyx?Y<iUm]ckeepwcqMfa]UHQE_sYRoTGuDE]EM]XT=h\\iXAGTbGVZwYcQbHeFXkuFsCCeFpydNUV^oGNHs=YjZinpHUSmw^@LnLv>MPPMW[uLD`RFeTEEy]ekFuTiTQsIpK<Ka`J?tTBEx>]qPUyP]Rj=JjYUHuvdEkmYWAeMhEVQEvNYouiLhaONXVAPvJXl^Iqt<MTTX;YX<LukuR^XJ;ArSUpBYv:DSwhNk@r;]rKEm[lJl\\s]ML<InEpNs=X@mV@qkC=nAMmW<PJmpfAd[OkwSEabCADbCRn]TFsRNov^aUNOS;;vJos^]UD_btCBmGFWcigMU?[rFEc`afGKum<T`\\vmLvJisXUmL<Nu@LVUTZDX=MqpPsXyt\\tRSTSO<ULXkFPrPuuQQoaLVkDuext>\\urdVOtOAUk@pvRLum`yWYWUPOWpm`amclLMmkuPRw\\vRtOxDTMqSKupPpV@Nd_ojBPZ@`gNAk^IlDNo>Fanw`HNcgWj?F\\XFe\\Nns^kJau<>i:FrGFkvGtKwfhycsP^of\\bnjvi\\OgubPejHs_gwkY_LG]fNsVPpOg_PosDgo[`tR_dRhrBwJ?sReBDIVkED_ysDMsF=CiOCQ]RCgBUar:EbCMt`oH]?wmoFYcD^KhBABbMG;mVn]rDYrdqdd=HPOxB?iO]YRMfQWttsSpOxSMVCgetQv`giVSia[bQiVbaXs[HUmCmsi;QRmYsSEdYUTFIVtKv<IGU]iQSYWIhGEYV_Uh;vc;sseb>sge_GZsB>]eNGE<YX?mTKmFBqR?SCn?dbUb\\YRCsc^]RWCt@OV@ch]MsfOc]EeG?iawFTkcb;gm?fhCe>EeN[fSUhCeeFAf[Orbmvj;r^OUWucDmSe?CCgW<aSRCXdaw;MT\\;uHeX>Si<?cEYRmSDguEd]Sr[YO[tWxST\\rrama=RcpqMLuL=k]mjdEov=TYHNShSmXJU]N>qJ=Gh?OaE`]O^ihxaHaop_vxVg@@vnfxx?nxAtvhykIxqpgc`vpfkvXvHickidhq]Cv`PvkwPeYpkLngZ^cuw\\JVbQn[HV_HXdlqrwg]]_r<qtTiqkF\\DVesIw:@oa__OIdPqpopjf@cSql<x\\wNdSxta_uPWymNv[PakyoNxy:>[T_[@@kxYfa@unhoJXuNW_\\qsxomoim`Oyw`o>@bOYgrf]cyd`AeoWuqa]USy[GQYIQQUqaH@SwgyvM[R]wf<qh]wdncwC;ypyU__dvUdg@X;qUdmMD@KfYkMITG\\Svxity^]a_W?m`vsd_xNnd^odXVtno`yAZax`?Ig=ooQAdpgthBRirbScFmw_srH]E]?U?oGqEtV[brWXYQWcwU=yVxgTQiWPqwgsTf_sDYtWCeDAglyU>AR;WevIxAYEEeTRgvQUYryVfYrRUwDgiZ?YA]Tt=gsQITGBQ_wxQtnIfocrW_Xnid^_C;SSbCubSfJcht[TCSw]SRCsXdUugwdMSB<EYCyX@ufIwbQsdbASHyI:EwoAw_yfI=tPMyViV`?CXEvnqI]yCMuslgwliEQAYHKH<iWCSvgYw_GFvyqHmvjYQ`tYLuOsMUu@QntjdISV]SUExk\\rLpppIV>PRIyvYHvQyY:xMeyQqpOfPUjTQQik?lUO]jxuNCdxg]ra@VCLXChXIUwYEm>YNQHlXePvlrPdVKDQIevdTtYEM]uxgPy[]nBhJ=TK_aSo]K^HQg<ooYj@doxdvmMR`qxAaRWhyklktdVko_kp^:h]_hhbih@A`mnlDwkPwuQWq]NsF>ZqaleQqjWuvNhY>hfQ___][_kjIfvvvX`aPXydX]^hbkOZw>qO@cUGf[AxMOnbitaFfZ>iO^io?aIVs?FqFPvew[H>iIae?yvuW_Wia;Ao@WrZqk=ojevqA?]Box]HoiGwVydRfdRpr?o_Y`hc^nDifVHoO`s]W\\`ytTFkHYf?A_FOwrpmOYnsXoOOb=?a]_w\\YpdGxTwp:WrO^m`Xpyxfh_qpWwPiiOOqcN\\VHoK@fTQnmxfgVe<XiNowCPn`?^qp__qrv`gUOs\\F`EA_xqsr^cHAi]yloAgoY[o>isG`qijYpdTyhAN[xQym@^fnkZG`OopUIsgws>pjsFk_fgFpbm^si>]aW`V`eCwihGpYVufxZJvoyohyVrhYcuIOChPSCXEfm[elssypXcIM[UPKamximbAO<=JCIuKTTKiQ?XxI\\KtXuEEVOmr^@YB\\oNlrspJuxN]]odpJeplIMujxxfhkZdThUKa=SR\\mDmTYEWFAQ<EjTDpC<qRdJMLnUQLRHjkXRkpRK@jJLWYUWkIOAdW[tN:lKdHNBAQh]R^UpX\\XFulvuR^vZIHrIobwG\\BXvHP_:W`VPs^nwN^jROvFXnFHpF?`?Q`Voh`b;OeBSSL_D:CrvMhGARGgFbkF_qI^yfXUfBWH]cf^=SJsRn_V^GdaOE<]SD;I?KvC;r^<t`LVLyN:LT\\MsfAn@`LAAN^DX:AThDtaerqDRp\\SHPOo@kRLW>XX;=VHMQ^LVrmlXIKPpOxMMhhQfttxIo`AMHAQqPKfdPFmss`rt`XqiPKlLAEOApmOivQPNcmxsUQW]QZ]SyeJuYVEPqaMM\\TMndL]PlbmWViMKHJLHnN=J;=t>mKchjJqJGAr]uJ?ltB<VjEt:\\m<Iw_lKdhOhMKo@KZEP>QV_USHUJLmjdXKU\\YEhJa`KPpWRmPeMSSDOdtV_PuJaoVtlCxJ;iR?DYApK:Tkt<\\=VqbhnVImH>mGG\\MNjS>cAhrSbBsHN_SMaVS]b?MD_mXC]tNuuIWS\\QXfuwtQxeAdoEgc;vIcdZaylexnyr@muxsshUuDaiUCVHKxEAUT;EiywKGVesxHsByircHPWaQ=eYxenWAq^LsgUj^XS=<SV<tNEmF@KD`S^LRUdJ>EMl<Qc@JKPkB@J@dxl<LRLOLiO;=NS\\S>INWdt;=lDUM^NoLg[?q^MG^kAc@HrKfsCXbpN_fOwa^]PImmOt_Q\\PPl;ahPH[RFjC`dmG`?Qs@Oc^OwkaZU@bgad?GmDAk?>rBI_K`o<HknVbFflcWZI@fsanRIa:QhLG\\pw^N^]k^sdHnUX\\Yh^HAwUV^@XfJNqBpqcnm?ImB@mcPgr>d>@sIv]a?v[H]<NykWZA@]pI\\oiei@oQYvB@r`i\\UO_GpybVlSvkFY`pyoNVvixrivou`qGWxI`l_`g@_auGpDoZcim<wZIo_evjWxqaTBKesauNwYrcHcoBF]rwQS>IFuswiQdPcExIIrsRsofeUu?uSVwr>=vC_VrMyekgtsXPSI@eFoWHFwROASqeIPQg`ExnKekmcvGvqYUOir=CSAsDQww<atdMTdgIZAWfoXXwUDuUkidtqtXISI;d^YRsCYiuWOYVp?YuMfmQS?ubechu_cOIXLGyOwU`CtduuLIthEcSWePKF\\KvNAWROr\\]iKYISYcUsUosxh[hmctTOh]YxRCiReDmcHlsE>SHbEIHMV=EsSmxnACE=dPoUQIb^USFyUg_BVQSeqt=Uck;UegCR[v\\?Go_skUTTOePeSjAfVaDHGGmmb<GgUIYRIILKHROimyXUCyKOTgPV;tlc`vbtKDxTfUnaUk\\POyMwvpTCmkJAsF]RkxY:dPXPWoUQ[=KbQOUInJ<k^IUMEJhlkExmpQpsio@PVMPotxRmxMuIu`YQ=AVJ=prdoLdJGYvSEMIusoTsLqQRIo`mZLqleAghv[>q_N^xwQ\\Lf^d?[sXbH>aOPd[`s=AefadhHwkIlrgl]Hk:Wk`Gkj>sxqtsGoAgnRxl_Vgy^_JV^IiZS>om?k\\N^enkeagh>]`i\\\\HibFw_Nd[wmq@uT`vhqoBFhrfZMIZPH_cWv_FfVfujxkOf_\\V^?ImIWqXam\\weOFe]^_Aa^@?]snxa>\\@FecX`]irNH\\A>^L>tC_amhhwN^f^m;`_]X`Bvl;>q`pZZHwJHZ`adA@kp?_GQ^:a[JVZ\\ad=@hFgZDfbrq^<nlPXbtVsNGe^NsfOZ>O^]@jCU?gsJoClOFG]iDkDVMTaCbLcsvadS=d=;wZ[I<EeGCU`cX>scZcSdagW=Ga?wbsH`MBZkF<KGeWxdGBFiFXotb]WNOY^oUZCyOStCEY<iV\\AUEWvZIe]eea;sLsXfehyYVIqCdgIiwu<]HawdFEI[gHNmHf?ebQXi=i\\?IqiX]MyKccFifRSdZSRQ?VSKD[acB;gRYdXwSn?V^QH;CVQeR>iBJAXC=Sl;rRsHdagJ]h[OL?N`L_dDYvkNkfydcfZO>sFPd;^cHH_l>j^?jL?[^_bJOsFokbN^<G]C?lBXk[^lS`[=X\\hplGXfnhl@pptyy:nyyVxwo\\\\nxogy[gvfYyoNiBfiCaa\\piE@tSQk;yYYwy;riYCsoY[yGIih=yxfYwQeHlCF\\aDLIFQoFcqD;qf\\qFBSV?sRp_C?mHCMc?Mt`ecGAdD?Sl_c`SDdQfF=TM_fDOGCCcJqvBOtBqVCIg`KiJST\\WTY=VBgRAQG[Eyh_uTWgCWBj_rkuWPSFC?C;QXl]gUtOFHQN@m]=uNDs[MJ<yoDLnAHRg=TJlNHMXWumKdSlDPZxV?etmyMAHjL@kgTuLMW:@MXDkRLLWeTmu^q?>QR_;sj=ruKtKeROsBoCHJYiKmdCABdKW^MgOqwRmrrsRCUXQSI<]RWmfO=dpyH==bYcY[qtZ;XEWGkKrvsDwIXpUWcYfAyVUIfk[EsebpgCNIWBOvhoV@eF\\KvLcW@_wLKTHMgfKBV=XT[rB;Vl[C?mV@?GbCHbWV:SdwCs:?iZSc[eeBaT:cF>Se>]brcDjcE>OFsMH^khESfloSQeR>wBDIeNkccABB=FAmSD_cRMcwKG\\GclKTSCTPEt_CT`eRm_VSgsLOdn;GqaXS[C>;hSKwZ_R]Uc]OUSUSEovBmvEgfLoDV_EcKDrgf^eT>wEL]x[ECIGV<]SC[Bf;IZsrv_dn?BUYDR]D>;uFCxbMTHCyc;VLLoshVLLr^hLQ=sShnRqlL<J:HVT\\S^EunYtIaU^@xEMKTIN^PjsMpx`wN]RVlP;ISUdNgHOFIr]LV@=vB`vtHJGIN@DkbAJB`JmisEDoBlPdiUDDUHMvgDJImLLIl`mMDalBtKnlX`XjaPL?HnaLmwMSTIYhtXS=o@lO`LTsxkAEp><mFLtrdNGmP<ymPAlNHs[ALfYTEAj^\\j\\PLUXNsDRW`QLMTaeSO<jsxNRaL:\\YDYQN@lL=SaUtKPvFLP;Ml:dsFLW@qOYLXd<nddMBeqLlxYPKtDPOQY=LysUYxTwRuskTyCEXi`qf\\w_tNmIUxANepOUysqYWxAwvyTh\\yEuSXpul@Xe\\kOYq<qOvtO\\]K<`s``UJ=T=ANK@M?DNNTQN\\tSiQc]MWASZUyLPvDpKNDo^AMCEt\\ALitR_PsJPSfMX;iNHYs\\DJJUX[\\JcHNJhRJ`TS<k\\lJGeP>DuCLPSLj^EmCAlDUnEpY:ApftyqDT[uo?yt\\eX<au_TxEpSituYmTXpuIUpYqYxxY:lX^Hq:ay<]xLessqMApNWIJF=SitsZ@qpiYWPyxmObeV^Pp^AW;TkYXoiaO`PvTpKV`mO`pDujJIW]pxLIKMIp=<Xe<YNysCaK\\XWAhoxtSkUjCHytMvR=SpmxY<xLMwutYB]JZmmlYSj`OKpvamNIasltSHEx]DpEQoCux<XrpMsj@LheuoaqslvVpxbXVCpu@tRs]w?YlrlRAElYhRQhOq@tpXmvhKPAqcitEEXEHx>qr[<k[PRmeYZQWWIWHLP\\XnTmnm`PeeO_Qm?QRYytVYuq\\M?MXk\\JQhMEuRdasc`J^Dsl@KKxNo`voAvM]oV`xOhomxiXvo^ykCIctQfkpxPxaKguWqcZQrMN^rFfAh\\]`t_P_bN`h`bJ>ufpkixy:>_qibegxI@ylywYf`c@krY`MvxkGwuGkUadfQq^Gwv>i@fd[IqVihE^[bnaVoZ^nxp?ofQf_GpvxbqNyc^hcvkdYbCPtO?mBXuiNf`fx?PqpvhOAfNhomvj`iZyAZtwjKwut?f[^[`oiE>c?xvtVm=yhdHerwckXfY^llIqvWf?HtkhuHQ^m?q@ybWV_HxuwgfPGyu^mkggVwkZqpCQ\\tnjA?\\QgmdYnXgv]xxnvboXgSVuCxfbvtRhhdYeE@gu`c^>bZGeVWni?qFHjtHrb>m^IajAvbhhkpnjy[by]OGonPuHynma_m^Z?wm<Xp@A`AOuSWqgiuXxhMXZZPZ=vxe`pgo_dpiefh;qkZXnxHwxPnT?vT_iYO^mPwVyel@pOWfcYvM^xQ_svWd>QxUi[L`sdyhSGdC`jBxhTOqUNZlPiIavyAZqFtaw]gvv\\ie_?ofgrtpklh`tvolxuDOdliwhvy:Fggqdax]wAZyWjdAoYWpdW_x`]]Wvvqd\\ynIYqm^iFWihngFHvoGhF`k>WsYNiH`xhW_L^pF?[<FtAp\\OWoVYmfAnEowF@janm[>go?d?N`hWf`ynC@kYG`lFoopkeYh=^ff?fEF`Iav_`tiQpE@Zh`b>gjYYn;`vCwy:veKadeyahybsqic`]_IcyVcWOuMAqL^jfApDO\\Hfu]q[DvnJ_uUictHf\\VZ<vofqhMAoCns=A_DI\\bomEv_fxiypyJonv^vs`e\\oug?^F>xR^o]?qrpwvimaockx]\\_ukVsrx_xvixyjyEfSSrQixQeIQcwuGoieqsVxeu]]BxKsk=UhcFKSGhGxKdLIyY:@vXUlvdp>UYjTuUXYadslMpFXvTlQ]PMousmhLtIQTunXauv\\qkmKl`m<isSusoUQlHLqpsJ@yy=j<DqOQXVewfLPfUKBIvVYPtqXXyxSPKfiPJHj=QKkdLMDWmXXG`PqQnDqpt`kT@s;@OHPWaxsYMslQXhoyMYuCyedI^pXxhy]?WlsHubOnw`rlF`TVysIoG`cmOws`eIo]JhqthlK`uO?[Bqrm^_AgpAOiq>`Qah`W^:>hIx]LhoP?whqgUQwuYn`v^XX_EGo@XuIIumycM^kQFhNXppynqOqFhnEV]Cofy>v_tuawU;U]aUEEwowd\\wrdyC`sU_WufwIuyu_OiOyWiIcHUEYYWUKGqMbKgEpEs:ibU]y[ErMiuh_wOmE>gF\\ww_siL[XpUycKToqC=Cxbgr;?vesWtwFYUV_[FCau;?Sfar@_EoCxtAhgyXTHmvhWQmJrpXe`KkpxuYmppLDdWwmo;HkZayPpXWLO_UlLlTMTLVTpthNP=TZXWKpkhQoHiWOit<Uvq`Ky]WQqYn<m=aqcxtnpLieWFexB<RA\\QHeVhMokHKQHqsLS\\em_=qwyoYpXL<qmEsLAUieWq<KUMn>ApAum?xTdLSOprw\\PY@r>UxiIUOim_Ixptwp@QRhVY@PhDPMlmvDM_EPx\\yptX@ATdPXCLv=PqDQnGitkaM]yQjDqAxK;IWh]vgPuDItN@NeqKUfep?guqcKxaD@mAW\\iYgVXxXrnMyhMguStbsCMAdhYiiaWlCglESc;F=AgnEfRiFekemaRymgDuiK=ys?Th?rRyB?;fNYgCWwRQR`EiAyvh_wlsudCuL?vmSXEUdIEXZwErou]wCfAe]GwD]h;kFo_SB?xSermmwoeFqqUDYycOct_SZ?SJ]OUAwhupJaL]=VTTsryQ;qUd=rG`qUXp`EonQohxMDLldar@@OmmtxpPShY\\EqUuuIAscLVT=U:TYOis@PWEeooLUCIx=TXDdy@AuEDVCTjb@rd=lDhlUIJdaQrUJYpL`tqO@OHHMEQoDyW=QWrUS;ilwuvhhrULquhKbLjPMJIAky=j<tTt@rOArAlXf<U@eUAQxYyL_AlmxkaUrWyMIPpyXpGpJ=hVllnLUYuuJotRcqWauXylOpDpayRvqlWUj=<r:<RihqMIwOltcaJFqKLdX?XvRDMaYOGHVjDV_UymmvC]W<hrAER`iwfdUhaJ>xnpeKFAYvqlwhPRhWBinBEjmasl@rUEU_IxStO\\@jK\\W_HP`anIIk@tkHeUEEX]Nf=YdehyDynBgkxGdjv]NQs^_ywNkuAZmxlPHpkYsUviwglSonL>^j^_nX^rxZho_xy\\wFvMopIhdrPqvVfFVajidbNqM?ogqbm_lUOwoxdK>y\\ov`vijYpMyppvergjL`^nVkgVc^V_;pl:OZPgbK^\\i_r@Nb@O_aqdmhbX?eHyfZa<YCDYWOGxTmriET=wgx]HSsUlab:]eYEtTWiToGKGT\\KrGuhB]wGgfjuh@?sRGgBwbEExhcGgyDMSCHgvRwx>wsDOCMmEiUu]etpqfe_YKkVhWbVAHpcGEUFoUucMSmSY;Cx[EsJEuy\\myLMYite\\tApywhMYatE]s;ykCllpAthuX\\mrPppPXYuhYETRpevPauCMU\\UnXhtSTtpmTV]neAP=IsElKeyReDlW`q:LV:asx\\tAqTOMy`Mxp=uempHIv\\iYDdQEEY_mTBdT`HvIdpj]UPmxqLrkIS]xO?uRkuklDohykaIPATXeDTuMYEuPopughoupSb@SLHSB`nOxMNuXPet`QM^TrATleTqCpQTaJ^EjA<UPetu=OM`xf`K^\\WTLVAIJuQP@IpFmyTHM\\MMUYM_eytlKmlkIDtKiUEiXoDlm<PMloKHVjYs]hu`TrKMs=MVQpWl<m=aQehTWLYDiU]qWUPQqqPsqxHyrfLv]yr^UOhuPQtrmevCDLW<ruEUc]wyoriXqdqdHWwxygsInnacsOsy_ZkA\\JQwuvsE?vA`uloi;Vh@Xsm_f>_wrpR]R?itdkGq_fV;ugsTMCg=IB>awIsbRAUosEmyxbeFFcFBASReXFmVPuvKeUSgUtOGK[c@mvT_fBMBH;Bf=chCFiAIHKx`[E;[Uy[wNKRhsfdixEcRokHQiE?MFLsWZaXCEeZGHtgXt_WOyBmsrWEfgQXHEHSkWm=hSGfsyfVoeOqRKuNo]opXXpayOet=YOrAWiENeyMnpYMuoLXxeqQBiqoyk\\QkZmon=odeuQ=uYauwDmryLT`q=adOFrqWq_vrIg`ZYi_nZGGmBWf<`bN^dSG^;xrDPmBH]lGdJogvVtfWd;>xSnnlgdJ?]ZfZj>]ZojNwhc`eHPc_HbO@q^Akdg^C_bZPkMNb>^jJIjlV\\<_ZMH_^FjlF]pNbFnwkpew`oyAZ?`nvPnqy\\Ng_hhdYD<wDA?v<sbjcIwYx>YrGSuV_rgaxSEiuQw_]yGyW;SISiB[SF]KB^Sx?wdt_c?CDMCEJwSwwFtGYCWWd?IRmfC_DSiv;?USATWgGqqFIUXg?FHAU@CEg_bOGc^?EpIWcWyGad>uHmMEA?seYeWebu;GBseCySTsR?GxJUsUySruvRsYfQUpYewAylOGlKIrsYI=IPmHw]GKsytEgsqta;ePMdFWtVGSftdjXqq?aT`xnxbMfs<gqi@dFXfX?qBpZRnfAFqfG^Wovch`EppQOdcyfmw_lNn>FmBxlOnsHymvPqgp\\SQ\\GqnvVyEi_NHm]FayAZ@FpyVsynnf_wTQbJgpkp_RNqixhB_lanvgyfZpvAAwPOr?@pNXj<OeEovHYmGwutXwOneFiky`oWakh>jVVehy]?vhs?pihhKN\\TGduif?ih]Pgd_mhamopcfW[@^[QnhPOhaQvKxkVFpeIuiIoXfepwbIwZ[AxWoxw_`gwvaYegnhvwZiQe?n^^Ou^otSf]=wnWWqq`enFwZG`e^nbvuS^bS?abaZx^mRYiPVmkWb`VtNOmAqloWyg?sjpsE@ZANxCIhA`clXs?VqsPjYqlvVebipUPklfc_hh>`^Yf\\W`tpndh_kvop;yuKovn`x[Hm\\VgRHeEPkJolPyuD?_=YecwsFvtWgq`Nq]geF`c=o\\>Y_tfiBAfP`blvjDGtnggfHjK>^FwcKIeYIdeVwontHqc^OpppsGh_TXqIWlRGxhynMqxphge`lf^gEojh>qioxPnw``[n>pGFkTGiahnMHguh`DxtKYmGnpuYr=>aBpZR^]RWiNv`wq`gis@AhMin:p[POpZo^mY\\`Glk^cdAoYI]>Yer>wAfrap`qq_AnnXyhx>iLQuoq`hp]_QpBifqVlBGdYaxrqwkiZ`P`yNkahappyOGi>nbKGsVQaTafq^`FpnCnr_VmqHuUodPahPxta^gsOoupiW`qUQ\\e_l=>vkwi\\XuagcSx`YPxc_]xG]MQuhy^qdW]rDGSX;y;mGPqhn=EMOUfsV=IC\\gT@aXSgCPGX`]StwSO]igMW=?cJGtCIfViWi?wWehD;imme_gT`EbGmF`yfR]C\\MF\\eyScYuuv`kdmgsGKfZcS_IHdcutigOMrJQD:kX_SWlasdcgqwhc]fPoyF=egyx>kbm]E>Sr<GujkXcgup_uCMSN;unAcwQhZ]HSiCGqHwQUxgVQucF_EgydhkV^kRtYvS]HTyV>eeB[rlasFwcO]C\\[imOyHqsGoTKUUrieVOPcasclnohSotRFXKkmtnUN?pX]UtRiQN@oTMUqtRkUVmDLVLxLMWUIwh=N]pJNYkvPktpS@hs`xwRmtdhqSelfyw@LUUEYcanwmQhpY?iMY`SWHTltlcUTjxj>lQEeTThTXyY:LSc]MxEMuho?TYEak;Hk;@r]Uy\\YQgqppdtoylTus[Dv]QlxDsm`N_MP@ElYTryDOgynuXt[lmi`KEpOuLsfQO[hufHX:EPviLw<o^YUDdu\\mxMqUKYOdh`s^gNQaxOtGao_F]p`^JfrX?Z[fmpNvGHiUitAwfpppe`gxpts_v?IuA?oga_WIwJysQnr??gq^`qW_nhu`HpTWp_^pVQy[wbA@d;ixxwelgvq@uio`IivDWZP?ixivixnDhgCie_``IPsO`\\hW^dxdBQ\\GA[=XjuilWvqGSuEiemGJMt`yCqgGjcEFaTTIC<yVrGt@uUjWwmocJaD^aH>Wr<WvkGWpMD`qWLSvrIg:eW@MBgovjIsTaxeqxPOgCGs;?RssVEGt:EcCcEFOBMyh^]seOrHUTgewpEufGuaAc]OUGcUrWtsWH;MEkKfweFb;VHQGgovjGcqyFYigIsEGgWb;C=mwD_cpmXIshUaVX[ElOukygqWwwGcBqfLQe<qhxIWhKwogBC[fmidAuFgqgTEs<cC`svJQd\\[hSADEUikww\\sDuIhpcytOIqQbmgfVqtOycRyGiGgOehD;ipEWmmtJQSHSTmGWf]jhtu[iQUAQh<tTXp?QXpqoUikHpVdUVC@MDQyF\\nCYRj\\kPTNlDmqXmnlTvHoimxxmO:<V`LPyhRIYxk`mp@tUqTImLlySw<w^mLdmRMyM;EpFPupylQipP\\uc]TCYveHJGaUTetgdqkTO\\Tp]eRp]VllSP]RMmMwQQy=tiUoBEXduki`uudxWhmudO\\LM=EQilOeeR``XXAYYlvouKHTmTeNGIPhhWd<QZmtweupTYitPAUSduJSPXpiO@`vS`tFlN`dvditqTMBqW=TS<PPQdnHioPpxKpNeLn]YuuQRPmv<IlN\\rQEnKiVWhohNok_l>ynvV`[G\\AqjdouLIqK_cd>s>QfAQkhAsaOdlGmDPg\\>mAqnXy`@NynykP>nFvqlwthGgl`gdivNxsLP^KHsF^n=QkBfh@HlSgahgcBvbSx^VqpSGihip`Wo>xiFoiewnVoeFwf@a_?YoJYgOAqlfykvaO^lwx\\wqigh`HWtsYkINfnqxGWfhfakGi=Od?IsQHe`An<Gxw>g:PjNFmLQ_B>lranknwMogC>ZbAom^jp>acxp>FmCidK?_;FcVHnKheeO[NQhOWwPoZDOpc_\\LIbNn^>H[nF^:^j[NZ<?g:?lT@c?^vtfpXnb`Yb>`q]Wuuytj@ewxigoob`umFj]_uyOicytovlgYslx_YVtGyoWOthVxpGpay];nxxgv^qdaiytgymfmaVxGVbvp_wIproyVPi`Qpwiq<Nc?g^]QiCH[[@dLDC]V<[Vl=G^ED^Mhfmb:?DTcTKERL]tqOi;Mwk]SIwRlwew=DVGvJ_CmiGVWefac[]dgcdASiI=gKQfMIYXkuYCRZCwYcfYWCdcH@CgmaGTsgmoFtyVq[efubpGtYOYOiw@MVpggbawwmTE_duIvuCTUsFF=DsMW@QDoeTROHV]yWAHyiTIwGruXWiUsQBRGuX=yxmf;=FAObXkrHScaeFSWgFcwyLXDYtqiVjqtBPng\\vCUMWyODam[YU:]jP@RNEl[`nkHRPaSqmL=Yws<TBGf>xcZffuAtlyn[GoEQrKG`l?yLFZsQno@caIr<n_VNfPvcO_liau=og^ydZPc:o\\NIcf_dqYhdhoZalhI\\lar>WgkIfIa_k^dc_[l_b]xnhIr`gk[a`hyvF?pH@`Q@ivydbNgaxnFQjVOcln[Y?k;Gp^XpFhlEwoJpusW^gA`F@jV^udhm<odEghWGhKPZJN\\:n\\kY\\YHrn_uQY_tojRxv_irrqi^P]>?gGAc>glLx^GWiEorTqf<_[Yo\\A>pVPxZYnNagWhpgAv^qb\\OdJhZWHmNP]hirlH_Rppaf^IGdoah>IxbXlXi\\Wnp\\Qk_`ffaqFGueXdCVir>h;Wp[GtKn^_>sHHZwiqCYZb@aRopWaftai_No<Odlp_VWjLXtcaxsih@aaKndRWppH[>WgI^]Pp_\\Q\\Xywf^kCYt=Nnk^i:^gwOwwob>VeHou^>k<O]Rp\\?AuuGlTVvVNZBNtV^veXkFvhjxkeyoKwwDvkB_m^igt`bSH\\\\^elAauGlT_rKFkBnwRWm=V`npqCQ\\F?n`GcyFmmPeuV[Gfl=p_>A^CVugfsjXf\\p^fVeI^peF^HXcdFwUqa^Pe?WoLaZY_[@oaoAfYO_aWqKvrEQ]]iwE`yJipLArkhsFFyfnmO`d^yxSW^cFsoPc?otAQicN`OVbNqxv`_>^mRVZrY_:pqBW\\kWbpV_@@yM^bBqsG>fyAZhvi?ndmWxqWedweB^rUq_lA`tQnn>cZFaR>^?OxS_\\h?_eHh_olXa^`_f^N]S?hXfrHYwfYpa`tVfkmWth^ZFpif_lPXurn\\rF_@?a<pbHVp_OoXNlv^v\\WiQP_affwPbmO`gF]bIZjQtunabnpkppxphWigag]m>lWNscArkHr\\wtN_gmXhen[T`j_qoHWr<VqW?q?`hKgf^Ns<fsr>qkokRNnU?dGH^BIrj_uhW^>g`EQ\\H?m>yfcniSQoufkVxglXeKX^r>cAp[@om@avuPctvpoWZBhkl_lAGaMVyK@bP@wrynbVbGNe:F]u_iX_uQ>chqZr`rx?idy]\\VpvXk]fppXs;fxP>j_NyvPd]_wSn_jHku>mO_[dao>oxDgbUAuOnbkpkV`fR>^A>s`Wpba\\<w`OacoAc<obG?o:xbka]WvdVqwfVp[WcL^aCa`UplrN^UaeF@e`Qj>VbOpbCqsrhg^pc`niSgwY>pV_yUoo^Hfl^it@sMyZ;uWWUC[XT[FJaEZ;t=gvDyRUkgbQGU_wpCH]eY<;RCSY@[UNsxQEu`OrJ]feUeC=HjcuLSEaQBAcH[WB;CytgSpOdA_vEiIIYbWOb@SyfKglot\\?TN;v\\;Imyb=iXJ?udIgSGipaW>gF=_C=ebbqR<;efICMSuiauDWZ@HqLVrZVqY_h]ocXihB?meA`l?[=q]r?x;Go^`m<`kvGeffu>ynx^nHQeT^`A@rxnioAtRQfqomwN]xGuYVsbpf<HyTVhDOrZOfBv^Mwl=>ZVqtb^uMypUIiOWehPfK_lUvdvVhMOwTwvG^q>^n>^joa`HHa`Wj^?\\lGb@F^HIZ=ggIN_=VkINl?IwUYhv@ltPv_O^>GsanxCIbvhrW@pK?]\\I`SghDqhoG[GySwDPYBZQfVadfmyoWdv[CEQUE_BHyCx?GGSvP?rFMXDkeYSi?AdmwVaucF;S`Cd:kIxKFYcDe_sbIuN[Ef=Bq=TJ]GQsUJeXAUf_mHPuFbIFYmT_UXfchBODlKisQHesFe]F^aGNava_V=;uAeg=uBhEv^uRsAvcOTVUSI?d:uDuurWMI_oRrKg^sThCShES>uE^CGl]T>WET_DS_cZoCNCGlETKaVMaVSeRADOl<l?Al^HSlLoFXWBqwgYxh`MrYLAPXoem<uw\\HkIUkjtwe@SitSFIyCYRp\\Y:qUMevAynUQRx<n]muQAMcUUiItr<Ky\\WvQTpuOYQNa`xrirh@oxmS_`k^<s_uVpIRJPRM@N>\\tRhNJdULDN;qJ?mNWmKcIJ?eL@@VbUJOlN:Qke\\NQHh@IZpO[lHg`^jC>[<GZBNb>^J=VBcCBKTMKb>EVgGDpoRscvZeRnKBIECwOx\\ECQaW\\EUEUwsYEUUuAcvruXkSuy;BpgSXWuRsyfoyA?GjwDqIEUwDIAWPqEnCDZ[Fl?Y[mFniiQeeAmtxQwjmXjOuEwRNatMcTMEh^ODLmDO[d`[BCGS[?dJKEKEd<KTKET_uEqsIdmRtaSBSfRyCNMhPKTkaIO;EuASIWgq_DaSRsiIfuyTYGLqhloWjyVqmvuqdAkT:[fBGRLMEMMS<qTiaB]SRRkDTygFwtKoX\\?tOYIA;dkkW=]cY_HsUwmWcEUi\\cs;geOOhSeiF=UJCfBEUHAB@]VxeERwe<UgZcDusGdCT`[VR_rIKc_QeW]d>UxBkdSQTD]VOAwSeDVSVCMCl]wj;rHcxSuUGWe]=Ie_S^YF[AD^IUoaVEAFOYT;aBKYB;kRokVAggsiU<Gt>agOwDBCYFstWqSZmgeqSQkW^QV\\WdVWFa_w:oXgiuxMTqiT_mT>MFBQx;gUQgupkto]b[MSSasSOWuGYfmB<KfKWCX[VxMsuEb:yhGuXVaF:cEjKh?WiPwIPiUSmrOMbs?WfUigacpkdDCfqwE>qbA_i_;ILSU]?DCOhKmCV?uFqd:KGkgeC=S@SbFgdlCUQeUV[ch]XFCuRCG\\IhOGWxqeNWFtqThufc_B>ufJ_rsIxEoEpeVFgF;;SN]B^[tcwfGihQgXmeWN_GKCHKKtjKDxefouhOOD\\GtCoYVgVd[UkgVp?Gf]e<wDQmuDEeFYefAuWsTr_Ro=X\\ms?CIhOxPUEiCGJ[g^MD>]xmiWCqGbeR<]T<sB_Ms`qgvEGKAUI]d:?DRGhH]guMrkKG<iDQ=U@mrLisAKUusi?]feIcj_dv;CH;sl_gxMCgwHKCXcsFKSRZuC[uuNsXQcDmYsfsDMADXAUd=XrGVKMe`=eIKBGAhB[rR]ThevhAwhcFC=C@KI[ysFwEwcUycTNaCDMHliF[Ie\\oX]]c]=TFKBvgdl=UuAiDguF=V\\_C_cCFGiJUiKGyHOetSgKGdVwCI[S:QUXAeC]TG;DrEfFWbukvqUCmAGSMtIGu_cXpsbFgieebMAhO`WZaSiiJ]lMVxJrhOM]RI`J]]T:AVPPTYhs;dJZamOMTWDPK`mMTSOhl:iW\\XsONf\\>]c>ZU@^_Yf:FcH>]<xZ_fkmp\\SOqX@v>irIqja^xAAZqHmLi\\B`vJFfRqhNIecf`IP^HGjA^rlIacvg_ovQgcoOrYoim@sZWhgireOsR`c\\I`FgdJNoMW^sG_dAn<g^eq^@_eMVaTphqYm>of_O``QZrVZ>QwCagRVZ;qbNObR?l[`cbncpvtvg_FXnE^_mQ^nGqGIxCfevw_?`d<Y`bGubPsK_gRVvYPgXQx\\_sCi[vxZ?^g`p`eyhBftt>gFhv^orAH`kVZqx]\\`weNi]pv<^clG`Ia]jQvnhkJ^i@W_`@jFAnmQvu>idg\\Eh`Eax@IdyNwgVxTWaw^ppVnNwb\\qosG\\GacA?jPOsZgdoWaRGeOGhlpfK?luI]Y`q]qu^hbo_wcgkiq\\P`ZAVfIhZk`v:_mk`dqYysfuZPZ?FhtFmrxx[Pcm^utYqdh\\@qeOw^M?skFlhieporLguS?iC@kl>h_^u<VtaxgR>Z;ahJ>kw>oMo\\agg>_vTwr^fm<v[ChwCalqxnFijoNraF[ew^:@rvqdnHw>Hp[F`NOh<GmuVtcNcBPr_VwsG]jOdqHhGw\\U`xFqsF?xKFrsQwCYgTNvr?_H?mBAyJPfDQuiikjQpm^ka>flx^E_mU>`u^lioqqnrTXw>PuM^tFWj[wwUOnBX`:>kKAZj?]\\XddFqUvhmXqCG\\tVeQ?fKoo@whXwfCFiP?vA_]SptIylRnmNax>fp`h^pfgZibkW\\Sx^F`;YyY?wtcXS[T?OhPCvd_bnAs:;sQCIgsI\\qSv_T_]d_=U;aBoCrSORrMR>EGsKtjmgOIWVWDomYWMb^WT>[cIybUQDP]T>=h;Kf>SIbQxf]eMoXtwtn_c_osBibVyxdEcMwsSGwisTL_gvUiAyBhYSJOsBScj?Ed;FmUoRXUKHNn`lBTLcLSalKFlrbmUd]POATCtnRELv<JEXWE]Jm@NQmmBakbexBdTm<K<mvkXKutVhDrLqJhUmD]vb`kGUPA\\SF@XC`q_mLEXxCIk?MLu<YX<Kj`YchTlTMkULcLSKmOl`kSioW\\onmT;huvApFMS<ao_@KlDmGALDAKlTL=o\\G_lS`[ZpjcOpMH^KHdGa[^pj;_\\lVlbns<?qSXs:VZOhd=xtqx[b>tr>i_`xRWkhPv]AqlpdEIaQfepVaMWqth`josWWsUakeWkCY`phcxijoPxcXx_wxSwksAigFac>Z\\>]ZOZEwrN`uUitKFdB_n`Hslfk\\njLWbb>^RInC?lBAolhc<Xm[>l:_ZlVl[bMQCd[d\\kVOafJ[RZ=KJ\\>Hk^<J<EWZ@L><nJFbENgG@tovsR>skneafhqplTIuO__Aarmoe_ifoimAHoi`s:pYwsBiFroWwEyNadrsth]ChkwvSbAmvhcygMvAcGxEUqqy_]gQEr_QGtqwmwsaWsQsEFYIAyS;wGqyufuRPyeO?WL=WXwhZ?DT;D^oV>MB=oF>GcJKEJmF=oNLTL<aJMDO[\\JSak^Ll><SGQk>LSpTRN]SlAXRIO[dr[exrDUGaTOIKFaQ^IKNaUZAYeTmsiTk@l`DSWTTmIlFtKsATeIqKaylyY:LWQiowMQqHLMATS@PE@SHURA<qZaPEURmAWWtp=]K[=pwYSQHsKdMklY;it:LqxqNeMv]PO`<jQ<SedqYhyK\\UNhtSeuDdVR@sraN^qK^eU=dV`EP`lox@W`ulc\\ge^i`Q]lqid>tGNjen^rysagppPdNXkkFjKPheapqNqv?mqnkMAjxI\\SPydVaWArYyuTF^Gh`CqvAovJ@vunqegnlnouGr[gj\\hf]h=ocRIRggTQoSQ_HaSG]MVEEU`yI:]sOiGWqRb?gFcVViUZ?efgs`=FQSi]oh;ktlqb=[fxQvfosiGts]UHyI:gT>CF:CS^?cY;ECSGHWusuSceS\\KT`me`At_Cs?utT?wjKEiWTSYhpEUrWEMaWm_ftqU^;uy;bTkrOqhmydZ]htqrmEDNEFXuHI=sAyI:ACpaBvyv_ORUqs\\WCbKD\\MfL;Ck]gweRAEy[EEMQEoUd[AEJECssxVEx_Wt^aGG=hmsUxwVTYUTeRNQCE]iL_GGWxQau>avcOgxos<YCaUE_KV?miV]H@SVQaWCQTcoTUGgCkd_QBcCWCeW`wY<sU_UR]gXoCDIOwrSSF_S`YFnKGGiu`AEh;R<ODEyTjAs?YYSOTu]h]Oih?SWKtKoYakyGiWG?UdyHhCV[AvlYc[MVYqDtQguAg@ScdCT:qSGMBfIeUOC\\Wi[WyXMVtcVr[DB=T`_GkqYoOxBMYD_cgCdk;r^MCA]tgmhkMV@AD<KTA=DvmtKiU=ghpebpUC^ueN[hB_xR;fEuEdkUyWwKauHiw@MuAKbfmGlIHq?TsaxsUuhMVpmc>_IaSTL;HK_B:EU=UY_?HOWdBYxFIDZ=EZ]uwguwQSGWhtGiUwF\\cX:cFsAcryc?CDWkhQGUSst\\kfL]twebb]gXSSSucOKXFmvFiy_itGqReUhV?S?GXN;IMKhIUiDYcbMy<iBdGtpicR]B_CHWITu]V:shvothtVrTJZMjGUk^QpqPXxXYIQOudnR@KAAkPhSLEkRAnQIPMaT_UNcHQDQtIEmQUNneVsxtsYN;eVYaVpPvw\\qADMsTJ]TO^<xIDXdTTLdQ@MrylnApvbtq`qxdPwm]NvaN:HQL<yhHxJ<ljEpqLjuHKMewAMY<XT:qyq`rvEugeTK<m:`nJHKtPJIIOv]w^hU?TRoIStLM]Do?Ay:EpJqk@=QRiWBLjLYYIdpf=PHLX?]vhenwpMXQQ^`sv@S@moV=LrUO]HYwAugyRVEVehNR=qumtfuP=xY:DqPDPn`TtAjvyvY<thTUm`uiLP`qpC\\sBMSMEl`]vR@xZUohdmPDUU]rFYSP@MOTwsqpO<vBLSKyWKmnxixQXTqmrOHwTmT_ALFiwPLL=uYBTo<imW=jHiSFUVWExHLv>eY<Xo@PwsETtLnEaSCDKqmj\\YqgqpMijT`S_AoCeXCHs<qSUIkiuXATxj@R[AklyK\\UxdtuOiuTXVcEoyhtR`rxAkmyw^ym>`yrdWahOgmnT\\n=lLk\\OBuJFPrPtWkiospnBHSgQxrIqMYUjmTpTMyPOWDpkUj@dskqUPIOFh_GNm>a[r@spwx\\fnVgg[xxPVum^e;Fl>^kxO[Wn]pGuMVaCo>QhAYRjWseWEhiTgYfyAddyulyBkWgjiUU?Y;edK=tfaCBygW_F\\UIoYi_yXUmsoCFvSvMSu\\OSNuV_SUwOhKGThCDiQf^MbRIWigSQaW^cW:Kcl_cBkc[_rACdUIG@SuLwQ>xY:DY>tKuqv`EsGpQVAM:`jgLP]\\MyAotEogmXmelDEPsTj\\lvT]qXeXUUxWwuQHlb?[TVrZA`IqugprcQiSitVNmlfa>xvnIbIQhaWpTYlcN\\>Wv]HdmGkCY]SqgaO]vhkKGkL^l_y]<Xos@qoi_:iky_wPAhyNoVWyAhZ]hyvpb<?u[?`RQqr_a]Hp\\@sMFaHYdlvgrhoPFeopwI^olHnFHbI`qFpd\\PkEH^CO[d^_@hcB^jBafJQjfVm`^jC>lCInJhbF^n@@bSp^L;\\jC@lCMPNHkJbDaBEwTioWn=BKae__cuuyt?upACOSrsCfRsreibhwwPqVSSuf]vwEroQw@qfwaEuOhbuGqirdKqQxne`sRHXIqm[Er]]xxyMdaWQIPw=qaMUsmyeltgpx_ey]Ey]UoYdW^LT_anQhMbmN=q^MF>?dZSc[_DS_cDSc[_TL[fCMD_mfG;DZaTLeCN=C<;L>:::@n@iUnuupTrt<m=DkALMUqUOpxTER^]sj]ss\\ruqLLqlqQM``pE@P>Dn[AP>Dn:NB:Z>NmJFj[^`Z:abJOrHUHciw>=vYSr<aoqQNd]gJY^`VSguO[vZqSlwglEW<KT<MtjKFr=BrcfWiyJQH[KD>;FlSbL_hJgWDOx?qBKeGX;RUActqGQGCReH^ECmIVQ[FbMHwqi_]c;]byotk?ye?dcYRxIV?=E<KCUgiIAdtCh^MTIQigGyhEc?KWZShLoSamdJSBhaXh=Xs[R:yBUqbEMRpWds_Do[YIGGiwuTUd<ohNEFNsHJKT`AbB[Ev;iIOSiqyPiISQBccc:oiRkrIOuo?TPOd_UU\\CWo?BkGfWcewqVRSDG_iO[fbQgqUsAUYTyI:[CyeB@SUuufiuEcODRcsJkuK]wT=sPmrXOvWiCkcHSAs:=Fn]sBoHeUeg[dcoSPsdJAfIuX^uVn[wrkR]]s\\WsHUV_qx^GWpYBEiRn[rjqXmQUBqdL]eb=FOkdEGFBMWBEdCcd;WxK[eU]vW;EFKX;;G[crWctp?S=oEQCUSirBmwOqsHEYDYHNaBaCTGMElUCSQSTSTbaXsudIUDSKRrkFYiVVQRm?FKUF:gS^aiD_I?eDH?xukcm_Dv[g:As[YYQiCF_WNOElsRwItNQG<=D_KCqEid;SRgYjwgdCIdGs;Wd>=SauVP?d<qTEkvp;tKgKIuxOYp<UPW\\Q]AOdutJTjlPQqLn:Em?ujBHRWTnHUwM]qVHxluyt]t<qpNTNBlW[lJkEOslqblY?ptXpsgisKhMl]jAiWFTR>eOninNdSUDkDUxoiJC=Vjlv=PjJMTlLt<QK_ew^Yj_hmr`Vm`OSYur\\lvmtJljk\\J=xj`mpJTjxLsgUjT`XLTJ=@N^mon`wh=ODITJXPSHYDETqQUBqtLEm<iKEEwL\\kAAxPuuOQuMMQr@R>qXcyOmeVwEK_YPpTQI@NSPLliNCIqL\\pJejN@LT<<K:CB[[pJ:::\\ltqkPiSNeRj=NAEQyhLRLqG\\MFyd?@qHQfd>]VP^`gvEyg>ohji\\:A`ENnb?ef?lT@\\^n>MR<=g:?DT;D^oF>DMn<nCENB\\J[<K>:::::::::::::::::::::::::::::::rYyYp3:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCImUy0iRiotJS5CT1VORFNfSEVJR0hURzYjJCIlITQjRiotJSlDSElMRFJFTkc2Ig==TTdSMApJNlJUQUJMRV9TQVZFLzQ1MDc5MjgxNlgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiMiIywkJSJ4RyIiJSwkJSJ5RyIiJ0YlTTdSMApJNlJUQUJMRV9TQVZFLzQ1MDc4NjE5MlgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiMiIywkJSJ4RyIiIywkJSJ5R0YoRiU=TTdSMApJNlJUQUJMRV9TQVZFLzUwNjUyMTU3NlgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiMiIywkLSUkY29zRzYjJSJ0RyIiIywkLSUkc2luR0YpIiIkRiU=TTdSMApJNlJUQUJMRV9TQVZFLzUwNjY5ODkwNFgqJSlhbnl0aGluZ0c2IkYlW2dsISMlISEhIiMiIy0lJGNvc0c2IyUidEctJSRzaW5HRihGJQ==