<Text-field style="Heading 1" layout="Heading 1">Q1</Text-field>

yIpyIr<K_Tn^T^;FZ;NZROZRkyig=c:=R:=R:Dj:@:?b:?J<HJ;DJ;Dj<LJ<HJ<Tj<TJ=Tj<T:IR<Kb;IR<Ib;GB<QB<Mb<Ob<OJ=\\j?lj?dJ@`J?dZyYU@J;DZ<j<Hj;PJ?XJ=XJ?dJ?d::::::::vy:U>KJKIJnIj:@[<F\\;VZKFZyaRwj:FZ?FZ;FZ;>:<:B<Eb;IR<OB;Ab:=ryCPj<[;VZ=VZ<NZ@^ZCvZ?F[FV;=b:AB;PJ=XJ>@k>DkC@L?DlR@oEMWDdkZXoD`kKDmV\\ouLuTUkU\\mjPqSIwEHM[@Qu\\KLTM]DOs@rBIsLTlM\\LWHNkPP<QREQv\\XN^TOmXPvPsJAuZyY\\_];F:?r:=R:=J:<J::HJ<Dj<Tj=@J>xY\\wbKF:=r:?r:CR;Mr;?r:IR;R:?jBLj<DkJ@M=@nb@qCDlj@rRYjSPMcDqBATSAVDHLSTM[@WrEsjMMkDrDTkELLdHQ[IncDWkAyyegFVZ;b:]r:]B:ykiQX;@RZ<Tb\\LDdj<Dj:?NK;Bb\\<JJ??ZZDD:;ON:<db:>NK;Bb\\<JJ??ZZDD:;ON:<db:>NK;Fbailoop=igaafIIfnprB_d?h_JYZ:ok;wdyNmyvtYOfTpn\\O^tFpTHoFpvtg_qh`IIcT@dDWpbP_L_mbNcUOeNHcX>v;vvwqi=qdyGfPiiCGbuqfQ@a]ijeo]EaoS>cnGuavjEG^_^rcfp[FcD^]^pxfXZ;q]=awofZpWwqpanp^\\hvqV^QHyqQoOWjlFj:?NK;>bZDDf[JowqPtYIuhOtqG_VhwIp`Uqfb`eh@uXvclFskwmegbrxrJ`xqWcdWewOxLpo<yb]>q=vrn@d]wYWwm[wQexLitylxpyqU<NwmxwQjxMoTyQyuveIYtxJQyVR;:::HkgMtuUoPhKoYxKaSMLUnutGMXvQwYak^yU;dn?MS>AxmuOwimaXyK=vtLVuUQXASmANlyKO`jb<NJQrwYpoiPJiSJexb\\tHDmRplLlvP`YmpsGYujinxMv\\lyHXLnEKgtrmQRfEyHQYDeX_hQBmm:YX?yJmaWwiWnTLneMDep=lN@Yn^DuwuqgXTmlXQXqw]r?]YWxNjayPXnsDVpaQadY_MQD>^sWZIqZ<@gJA_[niWntQIbmncfx`XGlPhy`VsTisgo^:Wi_>i?_yPvqDNuhvZqxjEpugWonPiYhmwqenW\\<Gj:?nJ?_NR;Bb\\<JJ??ZZDD:;ON:<db:>NK;Bb\\<JJ??ZZDD:;ONlkAqQ;@RZ<TvyNVMVUIVwlq]EW=ITUYtI`osmX_@nbXlAeX<DWKTPkHlXqrdHo\\HmSlmJeJRtrTemAdtvqvLmx<Xrb`rNDx\\eyh@wQuJhXODDTCXXj@o>pPXPjs`VqaNX<qcPVuXkWqKQIwndxGyuVTWKdmaHUYxm=pJKqXmawVuOMmpyXJ_HU_EPxluWpYRmVWHYdiK]Ly==OpeqJxrEEMpxwNLRhmRy@wnPq?PPZeX[aOQdu>lx?PX_xn:Pn^@NYlO;QQWpkAYoOIwdatOMwUMNkatIMPm@qH\\ynYxPtvYMuWuq?aO]trFIxXmO\\HW`hqmTsmhuXtWVHoupwYmrSPPgTOgypsAt`yVQUYsmLu\\K_QYxtOiQW_@QLDS>]xilmsTXSim]XLVYtXHSlpUXeXM]l>iRtxvVpYXXXrex=MuxPtcmXGxNiDpqPOIptYlty=j_yk?eoGAodqmiuxo<qulj]`nqEkQXS``Ttmv_UlhlOrDvj\\JL`JCeN>lx@PRD@tKhW^En]<uATNhMuguneATMiurIVDDQMILPiyKxvYyxEUSpiUIQyWupdeocynHPosutmlmRxKglqRpwA]L=iWUHxUiJ]XRkpr\\hUiunZ@SW=rOUt[TLRlPVYXLTYSyWL<MbYL:=S_\\R:`T_tmtPxGUrjIqhHqRlKTXycxKPYyaayAXpgUQoMQU\\QohTAuUwYtEqwH@Wymn_YLepuS]LDdj<ZJ?_N:<dkgbPYpnqphY`pIrvgygahKNj;@bZDWyGtSty<npXox=uO\\Yhdl@HvmaSUaMM]u`HxbHmGdrJdWPTmNYkGltUMO;\\O@IV_PqeaJY<nL\\jbHyu=OnhPnhYvMY;eyjuxA<otYVjdqmernTkF=psdSqxVAMXEUvhHrNdPqiOBpStHvv`wQpTTQJXuUbLr=HKgEKD@sZtrXpK@HWgPqEDwYTWXhwr\\WHiOApqrTVsXuShLXTKehwBtlyLrJUl[ppLePcDr;@RhDqLaqrTxxLUCXyMyscpYcexuMtQxtWMmdmlOikyw^RVaSWdPpn]OvJO^DIfJvv@ig_Haknp=ps>npoxhO^oqYiI_^JGfw>]dy`QY\\hpboihGfejfxqI]KiycVtC?cFW^vwpjVymF]Uok`N`^i_K_^gvx^iiWVcgvnoppJ@imay_ijWYtI_oahdgygeaoHpmuYsWpkRigPophAxl^gtVsHxrGn^fW[Lgtnqj_F_y`]lXxGii_^]fpkAQlKPsr?nBQiA_tAqhsv__H]M`xqQq^?etapHyunyu]Hbi?\\<Hk=YrAIlg^aGYc<Oby`_CWxY?moiiX`dKveONwsitAXoH^xoxZGoxWatiNcpIrZ_r`YaYV\\@Y`AOf>OijYjc^cp>uk?yiqoFwqKg^:QlN@nr@l>HimIbmpoDPqYptpfw;hfRxrQgcmNp?icOprHh]b@`hn`HYwuH_hy[QVu>Hw;wbioj]yg>@^gf^wouZO\\JVfANwWntypoxWwoVcOFwcwornmGHgpvlGOyv^_<xveWbHpeunmw?qdhhOqrLHvo_xpvpv_`_f[ppjMysd^abX`AwbxXqThvSxYiVucWWMdgqXBOeSsHuisHehuMySOFoIuE[RUWiHMVlaTRKtRIXT=E_=WMgYBChh_FJ;CdCVWqhYSYiCceeG@wDbYy<GuPAFkcsaCRkYe>=grkeRUSFAx_Iv`KuITmhUqOdxvLWJ=uDeMoiWp\\uraj>pkZAlSuV@iK=exG\\u`Xt?XTcpXVyVZQQ?PwrLOmPX`ER>yQ_]JxDq>URKxnRpK?xxppPB=swDKTMtL<`Q`hDf:>NK;Bb\\<JJ??ZZDD:;ON:<db:>NK;Bb\\<JJ??ZZdKKe`qDooYmofikvXqvnqgawSSmGweeQ]wCwc^GFOwGrOT@KR;Mu;cw=iBg=vsuyPyQgimUpOFqV?EXXYqdhVYHQIuUadOTpUPYUNusHPnVITX\\uNmskevRtvW`UOYNTdxZTtnDQaXNLemv`TBdolmOkYseqtCTWIQXrDKdMuPQtOXUTAYkYlpmKNMwrhpSeYAMOhtTdyVe]ROuMwAqYLRLitbdw@ML`XWmpWnyrNMobMoweT`YPiytntYxMqSdL_]ocmpviYEqSmyjOQUHinb@LyijDMlvaY]eo^UPglqAejlPvwuMaQn\\\\tfQQeqPwhpbXkppYoXL?IlauuImQ[pnQ`PUivuyY:XpXIMmxXdaUHHkYTpmPsbpXMQphpWUxXTXKmdswhkcXy;dSMpVnhSr<kjtuK\\UsuSCaorLWUEKgMoQMMTAthYV:@y^mksQOTiKuVhy@wn`x`IhSxvFpb\\W`Iisy_hWaxun`UXtdQo?Y`DIaaW`C`m\\_aTpaVyaSg[q_siP]YHlZwlmifIHoJYtfohE^efVr:Hj[qpPxsvf^YYZsP[jWivgbkwrdxbjHwuG_qHwf@e``vkgccpsvoftWymPtYvmoiathuqg[@wnKabKy\\]W\\RHwFOhBxkCnr\\_iaAuB@m@gnYAhEAktXfqi^jvviOgLy[cNey_vbhi\\Pqe_lUiqIg[jWvgnc]xbqOtT_mIwrGieC`oS`lvGpS^uVNm^WauP`L^ye_jsVcc?why^Hhrp^pX`vp?j:>vsuDYIb]gGuE?ax>YD[IxEyuaoUcqh`oXgyEgExVirFsFkSHMAecsSFshmqILqhGSiHsvTCC`kXsWYr[eUqC]svfksiOtPUwPmFCCsWUsSmwoqUJSYSIChgy^OIceR=gssoWuuCa_hKME\\oIgaD\\mvwiuKgwYmHnSYyyVuYBUiS<yVLaCAkwdOWXCdYaWr]Bxae_miwqFguxBmhi_vJ_XMACgkEUcs:ivDCG[AfEMICYfQAttAbo]txIbsCGVcFZEBXGWtogTiYYstqygI]Tq]RryrsiStUu\\=upqYI;W]Wc^svKsumotcGxSsI\\MI=qfPGIs;GNK[?ZZDD:;grQVeIUtUEqIUu?VxqipKyBEb:=^cyiJImxAjTyouAfQ?xr`dUVfVqyRhuovpgOi?PnpIcgprUxlZyte__Co_aHqgVadV]fH^^OhsFZHOZAW^SiwNN]>^xeOachwE`nxX]gXijNw_vhrHg_py@^fi_[dvv_?mtiuL`ungrOHZG?`LatUAskVuLWaAp[AvcAftVvjEItaqt`yxeFwdVgX?VEhSkXpSXvSifYi@]hVSebCdOyTh?XVcGHeF:_di?h^IdACDnuTaSCUUVswR_WGu]ScODEGwrIrHOfQOtXQVYiIDKfuAYuAyaIUw[tRWw[qiwaxUItdaehqifwGckeoID]mgVmgjudhYy;ybWkTVKxYOtLQUu=duad>oRXeGg?I>CgaselITaIrcEgwwwQiULMYTUHqUswWdekC`Qh`uGQUcWQsjEShSuPid]]R;YEBaFpQY^Ab=MGIoid[u]_wZACtquuIDwixFIwrEtEkg[WYSgg>cGckWbMfG?TJ]lCXVIXP?mja\\ugYxKivYqWkep\\ITvdmo`tgdMdim\\@X\\mWqDRgLpRiqV]Y_IkdTlC@KlIUI<NrHk_iP>\\QVlOqeLJmuXMkVeowUQiULWqpmMnTyqMlVUIxCDkVIn?=SiqtqYn;My[AL@hwlXmDXVDDL^PQ;eYDevdlWbxsgHYC<N\\tOIiUl`xb=tWyReqkLQyKUwHhNcmjAuJIURpXU@TOqmXnDUEeVhIn`eMFAYLaLodOEhV`]uXPNUPO[muc]V`tvAisL\\WQqYTIQt`OyDVtIOg@YHERyXsi=Qn`OeTTm<OQUq_itEUL;aS[lQVlXVMLCIvo<QILXSYsCdVEUOVXjKyTeIrmpORTm_`tW<OiQYuax<UPfUsoHqXENRevRenrhyQMQnpXOekWhkNdP^dQW@SfAXZ@x^XoupKhUj^eQAPQ\\pwaPoXAk^QykqOUXvl<vrivxLxg@ygpVMmqDULx=UexON`PtusGLPvplEEOkERhuL:HKfEO;`Qb\\LDf:BNK;Bb\\<JJ??ZZDD:;ON:<db:>NK;Bb\\<JJ??ZZdPowj?g@MDhSRGUiIgXaqCgCegMeAWEJqgjQTlOrraInYDeoxkkHg[VbgY>gDGoWigd\\YIc]GQaxOSfMcRwqgYQfV]gGeeO?ihseCaswkuMgWHeWAexS?gE?Iu]WBCuxkSiEYhWY==bMoWaoShyXqmvCyRPgI`KSXye_MEJ]ipwVQsrYGw=QGtqv;QEGieCMeoaXMirCoir?CHwgoAs_=y=MSuYSReig?eDqhsQg_AgxGSdwvAaw>scruEaoxomWuIfVgvPsHMGuuiGeOYEGhXgFBqDs?u>[Dw_VZQIxKUEiUHIxpox=eBqaDhKuT?wTGWuaS>gHXAwiwxvogwUglofrOFeix>ucBMEaYH_YSe[StIwiUiQuFwSs=KUxqHaosPct\\UV\\KH==SJ=CKMSlwd@IR^iYxqy;IclOwqyhguUEmShwuaceswEtOhsqvfqbu_WVYuMydiGsBYIa?DXSuq]XccxPChw_SadxoTkodQDPSHynADsFEKimk;dWpQuMHVlHQlInjDVvDYbDyT`VqqqXQu`HM]dR@yVeiTDiqKmtwAYlqXUyrCeLoetOlwOLvxdomHmqusBux_qPgOnTfdqhkwFj_Pik^j;yrkYyegijhwJYe[A^MPsPhnL^d\\atCg^dg^>GyLXgHihTgoHopvquy`dOadoImtosEXb^XunHx]gc>Wd>_hBxy:FasysovtOotDiZ>F\\dyrQyg=Oqbwe[?whX`:hsNiqQGq;QyU?aOolQojU`glGa=WtWOcVVd;WfOh^nHnEOdL_d<Od<_kphwOwex>lDhvRQnkouqaxhNwuWowQdny\\qftw_fMaeqw\\Y`kaWckprqXv@ybc?g>Gfxiekqt_xZ<fmLwcWVnOq]<wlggrs@kC`ioPhh_bFqnwabR@nJ??P:<dbJA\\LWUWyTc@qiRy_YhqhPjj>dbZQhyCvmbi[dxYgW;yu<EVJmgpSrLKw@URpwtdQICusjOeWcHwqIBWHRkeSGsOkEk?IlsfZkXr_WQod<cFNsc^YTCsc=kCr[u?WTHiWY?rjeg=gee?i@=C\\odfQHbcEQ_y\\WuF]r\\SFf?iZsVvCUb[gtqI_cV_iED_iNMrsOf;msgUv:AXggbYYgrotBKfP_ypYw\\kyNKsgAUNkDhSXvcD?Iy\\ES=IFQYiN_TOsxbsHJIc^KCGeHdmwwyTeifUwfuGIsoWVktWmF]qhu_c=gvsSUrgywWcOgH;efHaHdaf=OsqOfiEHBMscqDAMSf=IeCV_KcDui?oeVeI>ghMSWPifPWVboCHuFFwEuCxu;H@auq]f_cY`]rnMBIGXCWDGAXF[Dc_YvQd]SSb;T>sHTgsxabUoY<ABOutoKb@EC\\]c`yWqAisSrr]s>cuVmwiKrwQT=kykgFj=TswTTsrXsCdUS=sUt]YfuwnCI=EyhYfpWdaGyoGu@SiTQY^?YVCelKBrWbnOIngDbkCA?BLyRSERt?gpQbbqUV?hPaXU?bnSuVSBf_cigIukYkmF`]sxqiN_ffGf^[VccVc;Cd_ib_RHwCOgb]=iGabfUWpwTRCyPmfpww;uFQUUugRbsdFseRcShSbgkUs=Rk;wdiwlaYX;INydX=UcoST?G`STAecnSb:Ux\\AioGxJgttEcZoHoKTf[fIChG_hJITwwVHwsn=d]eskIgMAxW]S`AWNiW;aWumCmYEt;r@gXJKVkaVD;E;EWBWUdubm;B>[vHMFrCS:@nDAQHxMD<vR\\Uvtp?lrgmTUiqs@j?QQMIw>\\ubETTqM>qPM=V_DkX<v:@Nc<Tb\\<E:;ON:<db:>NK;Bb\\<JJ??ZZDD:;ON:<dsowq@apXgmwxcOscNfmV[sgv>Nl<O\\LPnro]YA^e_w>gtkF\\PAeOadK_cOiaBaewF^Hol>QZonnoyvyAZZYoI@yoVty_uwyy:vYewAOycqIhyI:qYymH\\yI:OymoiTwImMxfWybqYMyXSoxxAupgUW_SuICAWvjiiOGYPCsj[ypmuLOd<sESIsiUXgauksSXaUueReshgUtkMecoVgccrOStWxCIG_gwxYDTgUeWidMgniTkcsrsccoSx]gYUuoYfcggaGu_UvIOXw_UvwRt?ehKxgsD`WtA[EPWuJWRdIg>cb_KFNQbJIvBKxxEdQeWpucvuidWUNWeCOC\\kVwMWtwcwgwyppwiMMqudhtEUPOTTmXldiTPEQIQxbUUa=uGLkhuTQ=NbqW@LwOqsaMlV=mwAwJ\\V]UP]DNbiV_PQ[motLUL=Q<ISmmqxQS=huSiUYqWMisu]x\\AMA]YIIUAaxfhwWaoRuXW]tcaXQmneamlIvRDwSxw>dmXPsKMq<Ej:?NAUIghuIyJgWPGWEQi;;iVMcGqw<igOUElef>oHwEWY=CoUGLYtRMcNkWBeWx]IjAixOiuAfUehuiUyWjSToSTwKXsYqVQmwuqOExVMMYwetRunrlS`HyIyLMHKcuQVqOWPyWIOpdmZXTWpTu`Sy`VqlrgqtBpO\\YTTYSldMQMWLptpLJJEkxLT:iln\\TpUutQtRQooUSkaLMIMXHXLiQgqpQppWxmPMwcEp`aVGeTF]rtYPPEYreNlPXRtMAMpXujw`napmZivslWAyMNMLeYrbYWHUNY\\YttWCAmIEwi`vVQoV]ro@sBtQSDW;=obEncqwxmOuusYdXLiOQeP>]SMpXFLxJmwTemweJ`MXveqhdqIMlMDyB@tLmMWxqmmtMMuy`OHxiOwcHOmDXoAanBxkiwhWaloNwennVhrMnaFWgv_uHAvR>me`hW>pVYnrPpEW[PPvV@cBWyO?UgyYMiOOX]iwUOwFoC\\yfCggsAyeMFkkD`ayy;rUWIg_WYGiUOUjErUGxpcXTYt:OIGiFAurjYfmCIEmy=YcxOYkuwaWeemuq?Xguxq_ugSDmkdl]X^cx?ee^Ue^EWk[xDAsYED:KdNyD^egFMtr_f^It_yI:ixpgtb=up?EdMVisCyevCwUqkcC?Em_uvqUVUBtWuu[SX]ReoYFmrL]T:uDfch]yUewcB_H?mcyogkWymcWpSVo_eYgiWiUYgHw?YEwuAuXW;DqwsuCgmsy@[UnmVNsf<;IhQg:gFnsrVYhXwTDASysToOeguicASFiuIeyY_WooSygxSarTyBwyI:ogvaguiRPAWEYXsGB\\KH^qHSiuhEr[qxxuCZMcDCYxAfwmUOOdwuyAciQqYvwylcuTeYVsiWIWqyvwwDpwhgoxU]vpgUrKvQUi\\]UQMGKqxLwvSoyh=tIyI:?RdsTnihUIU?adI_thYUPETVmfcAemyRiIeoswMCDwyTDgHqufrUC`GwGgsvcsE_iTaTNkvPOxMYwkORBsB:kuv;SOKecaU[WFHGHNaUn[xkScHmXgQts]T]AtfIDhOeeawsiylwvM]flWV_KH]AxViR@QFYiE<YiTQSM_G^gVZAi^yudMvESTksTF_H@mD\\oFXIGegW<AEk]CMGEQqi[qC]qHbKdhMh>Wu]=hZqxLkFvKDJ]en;v<QVuOtNsheYT<ABpOC?kG\\ETAsstmUfUXVwXcYfRqHWOhEmcueDW]VIirDeg\\kRMOgoKV^sXXEidQTk?RJEii;H@WbXsXx;fDMTguDG]yLKrhSToAX<yUNCGDcb<JJ?_Nj=LkhhpYhNqHxYlpExViYwZ\\KNLK?rLwI[YHwGRoyup?riEfj;GqUi:=FJ;ONJ;Bb\\<JJ??ZZDD:;ON:<db:>NK;Bb\\<JJ??ZZDDLkxHny?jqvsfIiYgud^nmXxNIy<i]A_sQgvyvZ]f_yAZUxcvItYWnYVlaXo[o]Gptb`rMiukafpGmdAfoFiMYcIPgPnoWfhkomIx^=YgMHrKWbhO\\I>u<`irpomvpPN_whpK_dqwdY^kFgaA^v]idGgk\\ivmvu>oyMV\\EiuBf\\Q`vHfvshfQQ_wwtVieHyv\\NfVQl[YeDp_rhnlipLFcQgo`IivNmeiwUWkPGo\\Xa\\X^hAhTXmmPiwidIaiFqnaVn]QyL?pi`wEwujyxeXmgykJy\\vFwvAteqqIwy:FmgHiOGy_WqwvwoA\\Uqg:AhRHuXWq^wgwQa`qdUp]sFg^wax^v^p[N?dSA^_>prgZ?alZh\\;vs^VZ_YiPwshpuhfsPV^NhhSHwYvwfyjnxgunyWIpSOkoi`momNxrs^mygma?[[v_LinMalDghJnhaoio?j\\YjhVaR@p?HoVnmLanBPwC^^k?s>>js_]Yhgo_tvymYAmaAoFhySpyhQ^i`lwa`Ig_nVvgybyAZDHefwZfpbPQy:`uOIj[IgrXvsVojft_^uI?^DWZIppX`a?ors_Z[`xapmBgxPwZf@d:n^shs]YpUpjGa]qG`Ow]TwaYw[AhpOagWgoUy`TiqW^qMYhdysciayeAsYREitYboLNWQQoppCintIn_DuOMxWqx==YPaQExJKUsgyp]AQIQVvtVJYYs`WY<NA]JPUYqpVoYyOQmhPuh@MDtvVXX[YLWQL=yiTiuYvfoa\\SiqhOo`@oIa_r_sq_srG`HwmtQcuv^Eawsh]mI^:YpFGiPV]JglSVk>@ihhaogiH_Z\\^_nO`lyqbFidN_YOgL^lLhnIn_pw\\uH\\tPuhPkcOoT@qaXuDaaaG`jqvOIwxIdpVgpYwdPodwn@X`II]S@xFxcYGr_GwAhnMvpVYnuvjIPwX_ul^c\\WscvwGVumy\\`x^R^qXP\\qH]GnpuwZohbdFd=>uOhdgxcZgxp`oGqhhirOwbpo^mfvsvmmqqO^`YH_ugigabKOiFItFwx`y^XFhB`vvhy^VcGyo[FwcHgxHuh^[Egjq>dfww=ylS>t]ygn@qLalA@\\^HycN_C_ZK^v;oZdpx\\N_aXidp^kF`F_y[Wg_Q\\tXgfiwoVdsFkhHmI`gj_tNyeFw[LY_\\xinXmQwxcyoCwuxojNiiDpqIf^fyqmq[UhwMIxAxbU>pWqXSudOTqeXyyEmatTeWc;IkkCugWQefI=DAGvBcGIsXP;r^SY<;R_cBZUDXWvqiwTiSMCTPaxNmvu[I\\]Y`WiYMVqiSUWrmEw`oid]wMiEYSHxCtWyI:mvTGXyMYNMEIQEkGVFuvaCyV;SCsUKevHMs]mroaBjayNMTS;xZYhI=dT_yrYHuuRcuBZcXmwSikY\\gIKYxtyr;yFqmiM_XKaE?MesAupctK=Y\\kIcgWjoGpUuMuU`QbPMU;MFxwdU_YXMF]CiM=gJ;iJOd_?ciYVO?I^YBd;W[]fsXNX\\putR`upWPNYDsxhqydoWlukiUjaXUtLfqxwPxaINa\\pVQymxU_iqy=j>TyLtv\\<SfAyOLK`ItMlU\\XugppbmoC=QVuNBUsflR[EKdXUhdO>eNBLS;en>=j:`VQAQeQXQmxYEWddwPxWWxS?qxipPWHWQAQpuTulOsqlT@vETlCdLXTQu`t\\Ql\\QJwlWN@TJTYsej:UJMirTHPemSJhSdYXDQPi`wuLt<@uPpxoLxh@U_EWpix=Lw?qrZ]WR@M`YwAtxrXxgDNHeODLXsxX:MtLeJOxJ=DVvXxIyP?\\tWuPIIo_awQ@sdhsDEpnXXluSaiSaxm:`W?AkJQvlDukuXNPTUiW[XnLdNY<N:@JLxSjPKDpvdPQDAyBpKBHpgpmJpX@=PwmTtHKqTYXHXiHYitxcUpbmtw<yOAnZ@POxNceNcewwANL`TSMUA\\MOTJLirTlVmvbo`]Xynrnkdo^sGw>>unQ_UFa@?wt_fhwgHGh?hl`nbKgi;A]V?e>IhAIihGbgaZcX^LxbqXsThbcpmMx[MxhWNfLWwdWeMQuhyxjx[lImohs`Wp_otpXy>^rUyucVl;Ng>nj^yrRWckptrwdCFhcvv<xb]nsjPoT@oV`c^nndPgF`roHqQYjgp\\HQxWfnewy:vcvye\\NsRBLYvgWfLewgEEW]SsWcDuFXQXTODS[ccOfn_TcEwS_fpqF;gIogWeeXkerW=sh_eamrcuw[oW?eynkhoChxWupcwEeU@uesaHY]Wsir_USFUEHcVt?EWIUa_r^AHt=tSEhEscrqsXahp?b<kwskwsgUoeuokvROUucSnMFUYwOoGmSuS;dg=hcqDigH]iGB[WRovg=RhkD]iVVMf>wTISYCcigoyBECnOHyasmCB^qmZmMd@KqdUMEpWHs`dvnFmiYhqItiYhuYeTylSojqG[bPunXmp>m=?q_Gcqhvq>kIOZrPpTNlBXgoopUX_D_uEvgK@urN_mYZDHqpOmdhpBPwcPgdHgsHmngclp]dXi_NweVl_?i`PtoobPWca^[=o[Y_]pWrhV]CggoQq@plTanp>jZId__fpgy:X\\AQ^cxthOq]ntVOn_i\\nydffy;ohMQiGaeMqplW[ex`>`fyAZ:P]Ap^?I^?Fy\\`vgipc_gpAxnPnEo_?^oX^tZhZLP\\;warN_@qctVh@hgfHeNP[?ZZ@db^\\Dn[bNqPqiPhU\\wQbe?FF[<XCf;yAyu<EVJmgpEb:>nsicUp[UI\\Uij@YeK?u_gZioamIjBfg]^sc`bsAZwnv=`ZdwbNoyUP];ghPfaDwu@PlTqfQf]fgrKpm;q_[fgehp>Ioc^hNH_d^aJnoI^aI@pJQdkoskhadNxeauvWhVNwSVnlq^DIdE_[VPxLVaBhZ>whc>rA>lxVt;omjfg@WtwqclxpLHg@Yh`?sgvsnvjSwm]Oqmf_Q@\\kPsNglnhn^NjvFrAVjpAdP?oNN[?ZZ@db:>NK;Bb\\<JJ??ZZDD:;ONn[:oxThZ<Jlyjn<Tb\\\\D:;ONr;Asq;Db[TNey=wI:yxI]WsyEWOg^YxmatsKRWyRFyD_sIAUfFmcJItI;ue]x]MxnsIMeggusPsWuYsQIUsiC[KX[_c;uC^mhC[gj;VWYBlgwLKF_ESTWIu[TYUe]cyxkss[FIQYPkWtMGqcUVEDI?iSOvbOhDMFxis@wdeUwcuTOeeSGSDWW`ai`OucAyDAC@=xnkunSw_gsVMIBktOYUUORUyWleBleETUiPkgvuCd]DLCy>oxeKe;UWquONEtiylgxM=yMWqsPyMLIWhiuaQWFEymusNYPnaYyLSPilwEkumyXdxmiylLy@xVWxQTdMA=vyHMgDyOEY_aseYtbtpFYWdpJZHrtpqjlsrhstTTieVlQ;]T<IwMKuIkF?AimKCcuedISuSwh=cRQvPURhIWemT`qiswC>AxgieuyTuEcpIUckC\\_IkYdkGeQswMMe`]B^cUIMxWquDsREOY;ifOqtgEXi?wTsvhUbKAcKMCUQwfaw[gxs=SIuXlwBY_uDqb`uYQuBeAWLebYWidGSVUysmSvWYMQuT[xokhdeYoatxohUCtSucqYGEcuuYh]ktTIgK;GqcsgweHEd`qHQ[f?GHbqtBkG\\YHxOTWIGsGsHKfDyI:_FcoCc]fw?vKqxPucvShTgs\\cyMexa?xFoIGuEachMiVYaHqYveSdV[Y`CXyyQ<lVtIt:hKYIWZuqpYrrajTlVuYJnixYyPtYrjDyHMyLysRyY:dVMMKniVTqNJtW=HToutMhTvHyeHJmDw_LRpQQclKrXM?DXh`PUQTDTULQSEiy>ajMHrm]vTLupumletgmpftT`IxTLvatnrXWHlYgtP]O]GouxQnWAyHi_OI`QallAkXhek_lnvbh@thYyMwvWWaHpmOw`M^teA^thvXwkhwj^w\\qPtfIoAV\\kqdPPr;gwq@cBOxXVbBQ[mic@hupVq]?o`pmXxq`yjjphPhvQWiA^ndpoyXqvilofuMYZnQkbymgq^OiytYgpxuxoJu=qCuywvhspGx>PpnimoVa\\nqiw]KNtCO\\Wgc]X];YeUP\\yfkDi\\\\^eQXjhpxkav\\plTvcvvm^v[awmvvtZ_ppAwUqgXokohdI`h>Wf]q_ihvmVdlgqPiuCxmPOmmwwS`mvY^hybxymuiiJioZWuXovmgyS_pmP_oYjcOlaFfDoh\\qnFFidPy<WsbPcNwmKVf:Qbr_aHp\\ZHbha]hwhWpfihchHtUYprNkeirVOqAy_hItpYi;GnOigtXwqXvoFd@GgaakIGaqax@_wAVaCapuHamPgPw\\lOhWvuYNqkFhpPcc_ecvnSAhrfjHvanQly>wghvua`d__OQgxhl>_ruYvHvgEoi`uNUtpae\\MG`kvvMvl_eYefIAyFsx@EgiaS\\Ae>wE[wHdEioqiWCdguRDOc[kveWtP;BVMdJsXR[GYIhd_v=;S^ytaUUncrqkFvQXwUsWGshcrmWf>yRnyI:eGTUueCgm[VH=WMoDiMBPOiQOhQgWZwXukIdMvy;BLssWMCssG?AVqSiL[r>OI;cxOkWiCSsUCaoEHAXGUDpGGqGsUwSqyg_[IcGDokF@CGamulSGOgC[Ud\\_i`=skaXpOhqUUEgFnYIV[TUEHbiIC;Faked=YrWySAxMir?quOwd_IeNsunQTVsuXIgg]FsYsputlUg<ugtsBp_d<wbVkHQqTN;iVef:[bvqXXWeZuCSgC[aipEwZwcaKV`?I_ob\\GYIkDMweZuYH[S=GFUqD?oGAwdDes<wSfEXiIyGAH@GgLchxscS;cv[G?GvrggrqDvsy[kePKXsGdbqwQubYChgKGrEGGYIxuy]OSfSdk_sTssPUfg=Y?KxoKr>AWcgHS_GgcVeiG>;gNcWdCcZ_F<;C^OEGaVmUhQ]Yumw_AwfgXcSwvSefWcGuYIuwG_bxgHHqhl[iEkCyIFomf_eV;_EAQdMccvodNmwNseFWWXGieax\\gYheiNQgGWevKYpIHcquFYdfWi\\me]OGR[SUQy\\_fmEhu]be]vBgW?_sHiIHYfG=iPItDObL_ve_SYeiQYhmCxCuwvatDIUnsck]EiaVcceo_IEwE=cyfQwO?glGEkATbCrkEvmuBj]YmEUdYHciYFahkUuxqxAYhwyI:=g@]WUiWpeyOETVSc`EscqGvcDQAv@QVFkWQ;X;kULmUgGRxMBLuCiaepuSoSBMIXLYTFaRoYxkCT]YRnUVLcIZeu^YTWIRL]udGyIOeQWuhEe\\YyRYfCcRKicXMecQFUkcZoxHqbP[faabtEGKWbDEYtkvfyVCqSNabWueu?FGIxUoX=?wUSX_AgPIC\\?iMsHNCFQubk]Eh[W?ECD<TV\\opPljPL_<XI\\QqmmwdPHmvaaOhdRkdMY@KUHXJ=WSxklmpX@l]iOWij?IucAq\\`TR]YCmxKql]ERvMxNDo>\\qBqxftXYLQ`mSTxTg\\Yw=ONLK?PZ;HblYmtf\\pX^qX[Fpr]xr[gZioAfG`T_tMZFiZPrTHnNYraplD@slo]dxwyOcfOhTNmbxk?gmX@BcCxCRdeggubD?t[IB^;trmXJeFgQYN[UQsTjUgHqfcmDSQbwuSY;FqqXGOyoEsEGt`mBkiYBghoyVCEGJ?F<gIn]UXgxfcigWyFgYjsUyUIW]bZ>NcuiKqy=JZppepYRiLvm_GnsJA_Nn]ufyxIsDHu__vsh_\\i^xhu<V`Lx^Vy^CWcfnb_G[dVeH@alP\\>h^ZNl\\@B_ETcSeexP_Xx_XeeBisHWidcwXESEoQBu;ecEeteCumGx_rDwgj?cFwVoWXDySx?HceclmuMOv^Uh;QvGUEoiWYqusKXQKxGIThSwcKsLCFxgu[Wc;eSg=vtWr@CFjAD<_iNIVBsB^sUl;Wjce<QrlGtGYbeqgVOxpWHgABP_CUOCvmxMiBEwDxsy?cT:CY;MScIShsSZOiaITw[TUagciic]bhUDBwGj;hxGvRUbtGEBqU@qeD_gJGUCwi<?tH?dl_DNCXnKH;Ef;sHIKGxOfvMd=EfwMwhuTiYyRGTEovxgWUUtgEEHUXn;rG_s<;heaSqMgNAIlSexShIWVrshn;hNmeAwDR[HSoU;?JZ<db^\\D:;ON:<db:>nNqxehfwibqyhQyfSopeFnw@clgcTVrjfenVp^odBqpfO`SahDgms?mcfhx`^[P_;VcJxpsV_xni:GZfQ[xvy:voWnet@`cgdqhiQogbXbW?`eo\\Ewg=hmcqyownPWy]Ol[IsJpjuPnwV\\Oxj;wdw`a<fdeaZN@\\Uih<hxI^^kPbBio[Qfv>yGHsZ?aXh\\Rap?x^KpxX>[ZPruNqdIijhm@`ugptwVuhWhVVrhvd^g\\UiwLotfIkho`yVx_@kGAq\\Y]lAvgFcCv^Bq]v?oln[Yy`a>nupoMAeTXrqh[TGp`?iFQtLgs\\IrjWbgyj:fZG__IFeaP\\NVaU@eDWtBavDv[xWoeogK@g_OpQQiPi_BWp]G`ivhbqpE_bU`unyb>WsFPlL_rPOsBQ[oOrLP\\Kpvr_`RveGOqx`xFitwaiu_gtfgw`]TfwVh`kFdUNpmXhb^ccH^;g^BPxP>l>yls^ap_`\\atB?^=FrZa^B`aJqbWqbeiZMy]CWxEpbUxfuwt;Q^YwgQxdgApg^oWa[Q`Z`hfhV^GhqZin\\w`fojVYgQPkAVhd?Ztyn:PldNdJOlo@o:vZ^Vl^A_\\np?otyAZ^puafoHhw]Y^YqeEV\\dvklo`sI`VOmiItR_lCfZap^@pyDhj?NZOxhtVaNWaIO[lAnN@paObsPr`gvholNAklQ]E_kxVr;@gkO[VfnC?dlEB?F<_IB[XRuRqeUEkh_AHcqTuqIhshoeS[WdhegrqXeadq]UtYWgMxMSF`SXBIHYWCsMgIIsUYEBWVX;gigstmWmygUyXMAutGbpegXEh`AiNutNKthktCEcw[ht;dDMEjucSsFL_TLUUROsMLX?dJUytoTlD]PAtShPymdotejbirkTOuhjeimlEYsHL]ur:yY:`lo<Lspq:ILCy^<vcN>]]OgwWetGhiYinvhHo`sXqVWec>sT?gt`_BGhbYhY^g<fncnl_o`LyuC>ZOp\\<YqAOmr@nK`lKvjQOyIaxn@tVPeCQmdoeqApbotfikSA_lhahomuPj_hiWftlPx=HhJNw<A\\eYgfgoCG[iIbI_aH@_mnoFXwp?lhw^I?^dos?PgWWlhnrh@khIjvwrhi_Dakiq]NyxZ@lNfa?x^?`^sA\\G^Z;OwCgtYycphbwhmxhwXxxf@uXVabgsivdSNaiX`\\^mNHslPeT^joPrmotRWcG>sL`\\YAkjHijQkMGr^>tH??=Gq;yf_ugMtJ]Hscs_kTXegViF>=glct=oH<;CnGTiWXWYVtYvfUfJgt^WuIkEhGWI_Fg?VdgdGQxvCGkgYXwC\\UfHkTNCI>ivHctKkF;[dSuw=iXekBqgGa=TouI:cxxGSRQFqOFkqbuyCVCD`WXdOBDodJ[xMObL=f<MDr?FH;CNCdUCWauDwqISqTpqhumxuoUm=vrgG]_Xw]u^Owv_SDMHMqVC=GdQDQISIEE[[GqMVBUDxQv;yF<EGI_RMCbrAfHubmQrGQCWcVIwrJMTWIv`iTD]e<sJZpYJEr@TjGdw\\PxWutkhT`ItvlRo`v>atcakd@TFAQg\\mF\\jqtYj]TRanrpnspWhyXAtky=jR@nyhThLm>eK\\UMuqU]HuM`mdHRrExRPmaEnmttgEXvULg`oM`u`XjXDNR]J?DYTxK`YThLqA]JdmroXNSqx\\HugEUX]V_\\MMiMOdqCDMoILUlKBUTGXxVMVUERDDu=`J<DQntlWPTcyWlXuYXqWuVklL^pvN`WSLPXUsgaPTuRdPuNLN<<r:LlC=VJiRgiPeyXLuyQix;dqAXtw\\xZutFhMsYWELl[@Me]KEEydhwjIuNTwcq[bnmL>\\\\YqyAZKqwZhlnN[?vZ@Ivxf^hX\\qX_>plRxkWfnrVyiAqJnjJHlDal_x]ZB;_FY;F?]bQexoLtDIYfTn;ewUiX:iMCelvLR=qv\\aP<Yuy=JlULs<SK\\lCMX>LQ;yTdDKx\\tLdPdPSLqL?LjB\\VJ`yB@NNmoW]TmqNYuYQaQEXWTIKPUpRHTwyp>In]Exj@qrhjpttlYLbtpcQohulOxp_eLIHm_`nkPURiqw@WoIKhMoGhQJ=obbyxwYfVced_vmY@xkRZF@nN`pNv[RxcOpiFpiIoy`HgdI^ahocqgpi`Uf[IH\\B`w]@^mV^mh]<ap[HqGw`cn]awsXxt;Y^faaIPpoXe_FwNigPWoY`[w_uypbeapt?gLywqfoAqkxoyyOoypnrQdRHwAPotQl^IacN\\oWfMfplPyy`ssHv?Cicw]YSGIWk=dIwUJMevaIdeu?auiktgwF_itIsunyjPaPPmVuTpxaWAYuPXvhqnsdy[YLwumYPtOdJyMvXyY:xJw`TuXVniJIMQy]pi`yYtYmPulYolMsgixCLwUupWDOeaMWQM:mpounSqQ_TqGDKsmmE=m\\ET^yrAPvqTSButBDx^iq[]jelTLQtN`LHht`ILCmXaYvQmWt@WwTXKeuPTPkDlFmSayM>lrWupeUqCqPgQysDPies?YsRIkTPO`lN]HpEUum\\Kxek^MW@YUvhmVAW`iShDMtLUemSjYQ>TTxhjL@u?qNCmknupJTrcuKHLpJPt^=OgdnEeWhpJAMOQejZtXpAwTqXWeVTLYxqxrlMmUPOAUHXxS`MFyRAlXtYRHeXQxpGtU=qu`lQPiWFmV\\PNTLV`MVsTtRHkYtRWdv_awuMYVEwYew`hRvIrDHqsdYWXYfiTsivgHux@mMiYttYntny=J_XMwy_iawUyy:>mDooE?pyvbWWyy_nuvmNxw_`_wykxidbnyGxomiyfx]kHwYgqkVdpwuxq[Aqy^ai_v\\Cyrvqh]xy:bYcSg;xqmIgyI:UX?oHiGiXgwxcpyw^IObyvtDpy[q^vxu_oyn_tyAZQIy[XwWInxAbLyiKIydWgeqnAFwOFtyNuGWouaxQyfxhyG>oui\\vo]wGuyovWv`Uyn]I[YFwfniK@kYXpeweiY\\efbRye[xfgys<i]YNsIWtniyDpioV^pYrtohaWqrqbiw`JftfVeMvj:PeRGqYo_SNdYYccnkaakDOrThgWGn;fjchbV?ZyFwgpsiiqRIuwa]VOndpns@mH`]ogv]I`\\Atfi]XxqxXtp?gshcKng\\nfdwsHoiKfajfqOOt]IcNQjAfdGqpjybqHyPwYkYGidyyHoyEtYwYGwIoGyguPMt>yqIXpxIoxisNexLHwYAJoQnRYPUPUEQxYHrl\\JbYTkaYTTMxMoZau]xP=yOpmMvlRNaLndOx`rpPVrDNVIL]ULlIWydPuiviaxUQkn`xMqmbqvJiwayNAxuxlKShRAAPJAqsLmf=ky=JthUqMsaPOiYwX`JlQl^WaNoorVyXoku^ivhy@`okGuuhtAfZeiiLvi`xk_HhdxtWWek@wyGdfn^@iwhHxjofRi`En]@@fyfgJhprIfSItDXkdWgv@jop`Uf_linp?lrF\\QynFpfN`lY_m\\anJ_xRpf>_qownEAf^yxAhkcXohN`=qor_vBHtOfZOHq[Yyuwb_a]Y?ZkOsC@vLHiP`rxGwOvy:^mnGyCh`cWfNnpk>fLxnZPnXQs[_amHsUGbnpxbFyIN`Xx[jhd?>yN?_s>ynAsgAqtw`aNnq@clWeOGyvQ]`isCykVfl`N]`np]?_]@uJ`el?eDvy:VcnxknibUWty_[<qma@y[`mtIjVq^WiiLfmx>qVwnwf^qA`fW\\>IiqQcPqo_Vr=flLFclAZyGtRWdYFyYXitvy:FvSXdKI^v^xj@qYxy:n`iwauPriPmI`mqqacqqiouTIZla]Ne=cUYqBQOhY?WwkHoUHJoWKGEIqfuqs_sHC]sAyV=igAqWk]ULYTVICgeB>mCI[iDEyy;R`atfmchKihMgecb<Eb:>nJ?iiyxuq_g^fQPl^ylroluahBnsBwmjgm[^_kH]N`^cpgrNvBQcJJ_`R:FsZPtI`dIacANcnQieQhKqmU@mn_[lYyKvr]WcNae:@aU`_aOd\\Pj\\?`LhlHAv<Xb_hcn@i?nadfc@nkqGgOy[yWq^ammYuZhu@WeMPbsOtZApdPv]OeTa^kOw<okJNrv_qs`waYuCaaXXb;>tpWqKycnAcgWspIb]gyKa\\V>noaowi_u`kwApYwauge>>fZ@db^\\Wv_tY\\y>tUfdyAZfO[xy\\DVjm_pDv[wntcyglXe^oehVtSgkLV^ENiNGmH^Z[nlLQ[NhpbFy>>jC^^uAZZhv=QtS^x@XhWNy`y`G`ngY]kni@fj:?lUydCFxRYdLVhCf_gfbH?q\\po[yZu@ppHsCV_bn[fn]L_l@nnb`\\Df:@NLdYkPQ[lwAinhHv[TwhijXel`@ulQLHYU@hsL`n:yq<]VqaPduR[pK:Dqg=vuTuQeQ_<SJmxG@pwDXbuYKiOkXvupNJYQspXIeyZmnWmpE=kldWm<LrMyV`L[\\r[\\te`WpEO_TKIEOTEsFtr:=NJK?JZ<db:>NK;Bb`pk@mgUwkYyF`xUtxKTkguNtyXg@LuHrK]KxatuiYMhLAlXl]YyQjRyk\\HOs\\R_HKiMtQ]uvDY:qM<=wfdoVYuXXpSQQif]QhxOqupAndoiN`fqnjiOaM^h\\_]Uncuviw@pjX\\@NxEig:xl<hl[aZ_VcdNy=?fcF_v?jUVu<?d>`Zp>lN`nj_l;@r<VjAWmO^sthjYyx;GqWAsbyy:VcfwZUOxuojxxefy\\VWxp^trqhUikh`]Q>\\FYe=G`_op]Il]pp:Ig=Oj=Fjcox@Xt:AcHyktX^vh]_NwcnosnechgUgZJawe>a>igqXcPxl[OqQPZlatFgjqXjc?q\\^^O_^=acRhvLQpTG[TGu>>_xAgDvm_H[=PvTYmlhedVtfovnivpXsJpgY?\\phuhi_CWcdVkOfxDGgQYbDPx;OcPfnqw][vraFu;weeihlhqQHvW_]oi]rPamNk\\iwcofPVqXXmVioPnr[>ck`e]Io@F]FPxJ^\\Tamro`TAjvFq\\A\\s_^JV\\QFgSqia?oU_eMagyAZKWng`o@Hy:deibosXRUTDacQ?vlYfZEfVCG>?Y_Oya]CuwCW[rA]hvqhMGVQ]YMUhTWYJGgOqde=DYuhgoDkqX]oHoCx_ABVGcgCIK=sL=TDUbh?YqYtaOWgeb=UB;Evt]WdoWaAWqASG<OtdqjEmHtYMDKMIp`XUvARvmtYALFEYIDnGAL^DOFPqlQj;eXuXyILLG]j]HTGQoY]xWmKSqxiPKtaQtemtUtelk^TrWmseiK[Pwt`Pf]xYLRE<yAmwNuJ;pkrAvqejJ`Nb<XrHkm@TQYKVqlT`xBYTGxpVio\\EUyHNjDPl\\JsptVlnwHWMTWhYU<Mk>@UhAqUiyK\\q`DrD=Q;DKIYJH<O]pVrqpAuQgxMdyWTdxKHwy=J`LmCyOLuWrho\\XRUDWPUWmevQ\\okmPsLTODJeMU>qV^INOXonXOQEXEEtgARJLTSxk[pwshWMyPIiXMYSkis@tupHveptvqKYAyOeus@QCYtJtT\\\\SoMnv<S;iqfHnOhN_xmCaPRuTtytEEJ;]tRXqi`KWqWHyxg]PWAj:qP[yvOUunHWslp>emjLSl]VTeOShKT]KPqyG`xQtMDhv\\URhaQl=ULESYMoIEP>AL@Yy\\YtHXotUwkUTw`sULTiyRnUtlXTgQRnps=ep<YuhpL@`v?iWJPLuDV;\\OS\\KCeWEawAEXADxQ=la<L=]xa=uyOo=xdXcO]hgEy<IGuUiXeFcgvLGVQsvSmyDmU;_ytUeTQduGt]ceYqSN[tg_bLkR<Qui?x;cGheGd_YOCy?iFJSsAabnSvikexAtcgbKSGxwWGqw@SIIoujSB_ExgIT>?EvaHDIi[]HueyKABlYBf[tNoEhKiaUvsuEPgGCaUeEckYsS;Cm_kUHXu<U]DSq@OfHu=`KkXN>IrkUMgMwLAt?PxNDo>=jCpV=XVlxMpXvpenxPvRDKD\\llenMLRUHV^xnFYyL@lKpYZdj@lMpHUext@HpVurlDwEDtXXxc@yH<NauleaRgqvPamxEUiEq=mnE=KwaSsdOHDStupraYIHy]mtu=qqiJLDmiItftPaAq_ULo=yhAn[AMHuomePhQyhaTVUSBdxDMpS]NRDxEHtZMZPPdx@bZy[GqxDv[ywdWV\\KaqiYoP^rHhh^@q?aw^I]@He@^yhotBNtGOsen\\ZWvf>ckA\\vofUQeN`p[^i_P_K?^<FiZHuV>gkQvA_bB_k[nnT@b=gcp>lNHnZ>h:VZBAZv>qZ@jwG\\yvmWGxyexwwiwutgrZUho?FGUfdQesuhHYWpWM[HRMaMgAqHDot`Jjqm>yWE\\Ra]urMjuXMIXN==x^Xj<iMhyMTDyIpSKMuXqxtyTeqWkimslNxyLZ@UuMmQun]YXSitSaX\\hV`UuAgZ^`lAW_=vt<Ot;Fva>lvQiGGq`_nSQqh?b<ahpqu^AqSqsgXfRotMG[qVhh_bEaeSP_hfBIUI[WpmekmXRYUHOh:uTB;tw[tKuepKuq]TiGUpUtwSUHIEJuG=?XfQbYkcvSs_KhP=iSMFy]VVGGoGgeSsH;yb;xNObA=sOoeJ;FNmTrODsgSX]g;eYauF`MEUUUkstrUdmmHjUWUEuf=Gq]XGmwF]V@MRW]XBeWeYswKS?ib>EW;_rMIc`Srf;Db?fi_fGMu_=UYyRwqSxMcW]vUOUwGsmEuistRESQ]XeadE]vbSxO_uY]SCeVeOcDeyXgTJsb@SRZYWyucGGbesVHWCqIItGw?UunQgQuvLcTLUFP?IbqdNSXCMwGcsHmhlytKwrGWvM]uOOCC_YXYr==Tq?DouSNMY<;W`gVdySBQyjkwD]uO?cNgBAommtw@ak\\YQCQtDXnnPsuhyDxVrDYKHr:lpKqpwPqUQyyguNXepGj[IdTirkh]y>q]g_mPk=?cn`cpW]HIa`>_Gvy:fqWQeAQhPxud_lZH[^NkGNmJA_bNyAxy:>ZiwmRQxyPqOGcawvcXx>PaI@miPsxo[@W\\xAfy_syAZvyoKyKyI:gh`uUX[ES?uH]YMMyaSrCCsnQX;KXcKWysFDEdx_shYfxOeCySVidy[vAIUGQhW?tuCgpGuaQWO]DxIYwgUQswfKygkwdQYNCdykRyeRlobX]sQIT[msb[HYicVUgjiWDWBxuiqQCEEhWOsMYeIIg<EUjIX^ssVgi\\OvEoiQmHvIExUuRYI`yfogrcYDtqW:iRFsyWaguOfSwSFOsKAwroiN[weSyLyHviidwDpuy:aemyVmOrqIsy;BmgHiOGy_GgoipAx_YbdGTemVVstTGxh?TVYW>_gacy@ceQcRHgyZ=Hrqy=erR_W_EtPEB]kuMGY_WupaXOucccxSGxISsESt>aePYrSKYLqVU?fWmU>sfyIid]isCxkQtD]yqUfrAtWIH;IcZkHMiUJiDIEB:aVj_TJQwXADeQWggWw]tMWirMF]iySgXskYysxoSgUod@qS>iuKeskEw`]FHYI`eYXmiVyfZcCUqixsTTyTuGSksYJOfqWyYIdQqY?wUPau@isnorYiwMGI[YIwAwYEgwwfyUximI[OGsqw:cYWyxgoyJmWxWdx_tmkxy;Rsad=cINuhWYVUaCOewOOSosY]qvViUM=ShIdfGwJuV\\qVGegg_iBEBvqEQ[EBEgAIt^EYu;YAifTgWygTrIwfEd`au\\]vaCuVSvx_GogyCcUnUiXuVKietGXUex]SevsVXWXH=cNYtR;tdSyMuVWWcEAUG_eUicdgRG_ujuwAuC>GheEyf?SDCHy?dlqy^QyPyDP;IvwSkOrvuc[EyGquRKgdwfaygsIFfge`uhOqw;CgbWWfKyy;BCeWoax:ci\\xspUldqYwipUyWyTRdqQ?uuAjsuZgYtkaji`xW`h\\Yy[ou@X^cPxJgcuX^:QmEH\\:qkLvl\\HcugrA_asqmQQuQ?ps?_u_irqvuiZxOmpQsgybTOgIyuKfYeHyGWTQybiugqehOgBuSvasaSVFIHLUEnKeOwHGAvVkbw]gTCrTCCmygLiv>obRAtLGSrCSG]se=bi[XX[edQDQIcp=TNgYCCtQUiEAvOUGoKit]wKcrNytICeSIsFSYsUsYCuWuc?IVKWwb]DQaTGqXkwSpChkAspWH>YgAIxemSQ?i?Qs]qTaiVVkWlOEEkB];SdYEI?iZ[B[=fsMTNAblowXiFDeGKiHQ?iBacI]ToGXpeWQQYnET>mV`CXXYxKad`iXhUy<mh?MvRmiwIYwOjNTPhhxlHRrMSiQXT`SciMgpP?\\l=PUJPrNhNYdTBPrPLnLLleYXoHYspxcxNUyOOqXyex`AmeLQ\\DMDalBuLRdWViolUmwyJUYSFpqDQrJLVNDQDPsADL><L;mm@UnFyvMQt>Pu@qLduqLeoXTtWhP]qlkMoTEohMYPDueYP[DNlmUlUuFIRQHnn<j=Lk;IlVEvvpl]QJhLJ;qPfas?IqSDWDxxcOv]NowHw^_hqasfx[coxsApeQiaIe[WfK>hFqvFohIYyGqvNWpDNdMIs[ypvvbTw^HP\\^p`CfxMicwFiShnqIdAgx=GgWuwmw[Yyi;E`wrdotEUwI[vPSS^SYhcW;KdJyv[ee\\ohPcEhcVZoXAUy=AGl?r[_DJOwwKc`QC`YdUKgeKF_?gN_FZcTg;B:Ci^QE;WvSoUiGUPIbPWfg[eGuXgIsnqUZMeUws?EuhEXWWBk[Ip]uoWyO;CgmUYuRgosuUWlQR>=XLEIkAfWshXQSPevDyViqg\\qDIci\\cwpwRnwH[iUiCCkqHDewrOCkUiGCId_vJ]rsCXSsbvMtCew:wvMgGb]gmWyNwTwUEDwX\\iBt]GhwioYuIqoQeuIqsuekqhsp<jvuROLJqmpxekf@YTyY:pTyAo=UpLUo_mTXYqOPu]IrPPJQ`sPqnlXWFHlAQonLnuLsZHXxaWIxWOhuypsLiLFLYQIs:XjfMoEen<DZ:?nJ?ilY[wylOFpFIslXcf@gPVunwd_^eafSUsFmb[_hOiGQoD\\KbJ_d<OV\\;B:MDbEyT_x;ciZesIKgEIgqgymgGYgXQifJSensx[yI:aECUScGidAtZuYxQSlOSFqG^QRFKxr;f?[GO;DJOen=FJ;WuiebyFt[vpiFu?vkqibKSH=ttmdxqtWmrx;eiwewoG<=HJ;GNKcHyDwGsY;gGQgykX?siEeb;IITcb@AEwsgHGgQgSu;gOwvaouG]fCWsMOgOIYCIe>krVIVbAUjEEf;HBWvnUCkUw;qXxGSQYtAcF;IrFIyp;Db[LDdZ<VjaouExlNWep@sqws=ngtIjMplnvsRwnmNgsHp_vuBYeiP_oA^Gyca^jO^_`XaAXsNPaOX_vQtro[i@oNN;@bZDD:;ON:<dbZ>FgMq]VpdWg`dijcheF?eOIilwvdo`CVZSViJfe_@[`O[]>[:paSHZ<ynDnqDhaLGjAIimaaJ_dtNmnwvLqi`XybWlZP]KHiKHfrhrsH`o_rmV_eGZmGheYmdfvLFmWFshiv_>cLWa:PdP_i<QjNWZi>gpH^X@fTvcIHftvmcxbl>Sgc[=Sq_WcoDkESQuVU=cCODpWBHqRVsU;KS;[BOcDJKTB;cBGUroYIEU@grr_YIiHUQUYmfowhVsXuUtD[dbAe?KvWQSIuioqHuCTc;H^_B[Oty;B_yI:CsdefA=bPcvJ?CWsYtYfcqs=iF`OyHoW^_fTwCdOYK=x>eu;ctfIDNqW]mHTyr^=U<SE;ID]mxC]G_YrO[f<cf>;F^YfYafIwvrorgcWEubnsUpIGaaWSqrbAXEicSAiioTV]EcmWCifJgDI[hbEvdEv=[CYwilObgECnAgDyGq]IyYsWuxLesXoDWqv=owfiSA_H]EWFAGkeFrKcdqsWmDEYf@Oi[ch@[tLuV\\Eyi]cpODTgC<cVcMB<?DJ;BV;bA;DN;U]=FU_uo[GyASI?XuoS]ASCWTWQwGsXrmh>UUdSVRmgV]u<cDN_RgiYcwgm?RlEBQwIT;wloY\\IGhgDe;y_UVFcHYWUCGYj[vPyrgwXUaTpWrFWsDKXEkgn_HYOFOeV>yq`TjXaWnykP]YqAjSlPG@QeIlglTw@KQhLBAKMyWZ@RMlpghp>qXdTKqtvMTvnxRtEn;lQ=`y]XJVEsCXtphUsfw^@gxGaqhc=^rSFp\\?eghqj^wpqtN`dLomDolohoVGoAq\\oH_eOeCP_L_tIGmZXkuaobixv_tgatHqup`sqYpThwmIdlVce?`mFuRhphha@yuM``=qiUn[Cij[FcfoqTYaL_]vFy^Ni[`efpjH?uQvcFVh^_c_GmxhcfHqpFodoi[hsIX_Jg`yN`ToiWhhkVugvrHXubgx]fb_O_JggNPhM^uv?sCF[DnkyAZt`icy^JggpVp\\GeXIdJPfSp\\_^i?ww=vsjIucXkswrh>cCG[xW`?a^>pmAOiwVkCvcjhndFZ:@hhFkSomg_orneehxNNwQnmhq^p^mWgbQI[=ywPA]PWkvVgD@bBvl_>kvHmHpp<_d<hp:v[Zfj?>_JnmaaskGb;Pyi_GixniwT[cGEhScXTmrN[rEixTkFiOdgGgBgxSWdXmtKGV_SG:?vuYUIwHYaEjIi\\GrlgWHQUpWxUUWXEwg]Dcyt_SghawHks^urxOuRQvN_vPMe;OCLoDictcAxssG[avmGi\\QrRMw?UTpqdvefcmhy=Rhss\\MTWYRL_W@iCUIcGIXeSYmcTSMDSaSCIwBsgJubLqhLIT`sBV=TsOcNKDLQf;mcVQU<EF]XMEytSIKotpPTXw<T=AorHQ[]jvDW^Eo;Ap[mWQuV^\\nelKIaMJYWmYKbYsiLUSllpALgyTfplkHwHekDEqx\\XgpPpLuZLsxusStxNXVK=vVqm_AuClwTMsN\\jlQjhXvXqO_=omtkEqmO<YIPSeqQ^@VtXsdxlFTjRpSm`L^=PZ\\vKPR`QUXIpJYSbLXYEylXYv]pe@Q[\\jJlouIQ^yjeDOQhSSYulil`HUxIJs`QEDSoukCMPStPfunpxrg`WG]T_ES^Up_tn]\\Q<emDUUDyRS\\MjIR_MOL=sB]w<EuwUp\\qTEmtMAl`twneKiivUhLOAL>EXpLRUMSV]Yn`lZtutEJQ=V^xnulKIsjqbEkXsYwSmciegsgVqGT^weQ_gtSHu?IMiUuMg]UcMMTUCG@MWBOUv_taYba_i>YtIoFDWSy=YUQF;whYixvUGeOyMMrfII@Cy\\CU\\wr=KFdWVEssfESDEYIQXTchgOyKAcoSUXOv<IccWVj]gQqv`HRUmywtmGUS`YmWQrmEl_uTrDW\\isdUvkdxt`VA@TOXO?pXriwsEoAqJApn<hYWqtQ]XqIYtHJMhW]pukyq<AMxdTiEPhakZ`jtPSsLKhURe@NruwnLvLUveAvNdOCtQ_]j_DQnqLPeyFarRYuXivtXQeqrZ@WFDWFxxcaObAP]Hsr\\r[avr\\tstpPIRKhNhXlTuo^dlt]NN\\la@JRmqK`J\\MygyjTaPyYJjhrnDUfpXPiOpUYVqL<HMChLNpJTEWCpm>eNCLs:uXDPKgPj<pSVql<DwpAWnTt`XuXiP]AsuPVshx[TugqwXiPNtLS<XuQt^HY[DWZdOelMcMtLIN`eJ>xkO<Ti@ui=Y]Uyamst@reiLYARUMjbTTAHm@`uQOdXH\\hohhIl]IaVv[J?nqPuUGZ:n[;FZjhcjVtFw]@_h`ir^Pq_okk@gAIhU`bugeHxtRv]H^_@W]EggpFa^nmJ>ls^^Mxr^NlC?n>QmyFpEe^YumktWYxA]LaXsOUSPtqfILHfpbngRi_fg_NhoifZLHwmwqLP[MWuAa]T`[kAbZHx^q\\NxufXdfWkv_p`^boOjZyc_f]bI_aykqpkecD;ieOCv=eVYVLWUT]I]eCKuS?ss;awfuipiueIuA[YDyf`YWJyI:Cx<yhxkuy;rOqIIqwy;r<cYxYXuacyyvy;BSOftUSnaT>OY=ofrmRiiHViBImDyaD?ED\\ac@?HocgLUe=MCkqwtocZEfVeg:sSj_iw[UX_HuuGdmwfoThCdPOFhOgrQI]we>KyXADpQyHuypieDqGG[yNAxnmCyAUkKimoGF;UxyeMssPIG]UBUqfUIf]CeJ[iucTqMf=qSHyI:_rLOfu;Ei_b]YIc]IsagySUXmUxAuScwoUuUeduasUaCOAU@MynygAYh;itx=cSiySUYu]uW]RKsDQkttsYQmhwkywUSECFWaBkgyDmwhgCsUyPkVhCy]mXrUh]qFKsVRKGlcELWfgMdEESw]vpyxmawmWfDgxuoxtqfgGVecSpOvVWVXYXLYhZGWkkxPqcAEiMWw`aIOahasDHQy>urVwsDIVdYGKUfCyhwGUaOukeg>gt?uVyMB`_fuMBZmFNWWEeCs?vxuClyD\\cfA;HgSgXMGLMKshLppoNMWpUwxqJd@ygYXV`xRxs>XXFTyjHPTqS@EwqXwY]PMaUKUXKHM@MvkUVXpqVaXAmnDXTIiRaYsgMYciYmLwhdVa\\ulXKJDvPXmWuQWdk@aP_xk?@q^@paDSwmwp@LYUOJ=KDDTC`N<pPqUyuIOeDTGqTg]RKeM\\yvVPxkuRftsxdk`xm^UTEqrTLqhquSlokIKDDyMySY`omImmavbDwQTnaXJcqqePvtqn@ywhXxVlRl=OqpV[uOIhvnlQ]=s=IrlDn^pX?lxkusAlksAVPQqXduW]tcYwo<W\\@Q\\Xvr]Q]mmF\\XyqNpapTTqqUVKYP=]TH=qtMvmixKXyLmKTqjiaXjEO:yMliWfyNy=uDiOA=vsiWQqyYEWGxJD]wFqWPHXoYNmat=eqNlpGUnUHyNeyDETgLVhUSGUN:`SUip\\aUZaSe`unpsH`lvtTjEovdNDQsL<nLanbtk]DRUpqNqwThmXhrelxxmP`xn^lra`LohqEDunYmXQnxuMKymKAmRTwMdRI=qEew]\\xVEPEqL`hrvTwhxvV=Sk@wlXrh@UgAqTInBaMLyTBivAYseAxLaNsAOZtxsqMLaqBlVoiqxDqXmmcUpaqjc\\K`uvrpX>Mvm\\woMqIULupPoDtOYYv]t>aXDDxm`WHuvXxu=eRsxpy=jMuuOtu@EugTU]uVslUOXwolU[iS?PNUEw>AJEIXShx`Xv_PNn@jXtT:xJY@N:@QhttamUhdwtHWOAxkas>urstrSIKHIYrmyhttw=UguWUeWt@qiPjR@mR\\ra]NFUvStKNxTUyS]hy?hW==XRqVxPrWilTaWpymKhRudPfuXLHwNLsf\\OflPP]nb\\NX@Q^YjAQQtdMqiwhTWnuxnTX\\YNHlnmhRMqQayop`YX@uUippexk@oSLmdHKAuKVmsxMpfuWEhVtxJxdWdLqCyoRYRMDvnHYM`WYLK;mvWmPIEW:iYAtjwPOgET><OcLoAPJM`uhhUsPwpeqAqnMitCxwHHWIDkpYmpxs[punpQ=dTHYVftsCIkkyKmekbmvxPknuriqKitsqQLUqx=qVEyXv`PhLRIHXoat``N_POZqxsaJHtsaHJ^YoshplIjdQv`ymYPPhxUFLxsiqy=JM`kViyPynQpPXxY:`j^tqIqm=TmqEUPuYIPul`YHmxy=jSTUAiX\\hU<MJ]Hro\\QLEjsAM[USd\\xXpWQqlmLuO<SBAtheoHXxTeshUWd]WK]SKaroAKaYPamqX<snUQALvphyP\\YdYoeLtVqkS\\K>ySFtrVUY`iYSivh@OwTpnXRdpW:PRJeyJatFtLRpVOUyGqUQuQXhXlpqPlJWEWxTqh`n_pX<euKiW_y^J>ne?mq`eUYoj^weypQF_>In`Iknocdixp`c_fq_VuiaeUgkaX\\qPq^HugxdGNa>ww[@pv>lUqfNwjEGcCVZlAg[>psGv\\^nUppd`mGA_\\huDIi?GcWVteYn`fkfYnOwgu_nNiiM?soyjTOPMwGUUMWxHeTBcFdgUe]c@EyQIdu;dLcbeeyd]WB=RLIDDSwDmWGGxBcFC?GqaTHwfVgVXWx<GfTWUB_unuIKEXeiylebrqR^WcoQFeCtIorRQBAUsgqBPMcPKdw?fDsCmaC`MF]eskgEwkeu@qdiWQUUtysiUoi<tCxP>ajWIPAhobhqSuu;psZumGhV_hUCLKYMvVEXuIKoat;dVMMYhAO?IXNpqAlJmaR[YuOqSRdQZupm`kwhnUPJeaQV]stdvSlviDlnUyBUVTmVHevcEvFI_Jh\\[Il^ybZ^\\c@b<x[NVkPHoX`dxhsQN_Hhh^v\\Io]MXqoFwS@kyffUqk@fpXowff^epvc_ikO`hwtNn[InjaPjLO]aGqZnjTOcU^ZmOuIgm[geDYwVXstf_Kabl_dtImfq_QNdWooBQuwxwPwf[otEpl;wgWHirXeggcDoiF?ii@iYybAOKKUdMEUkiaseW]ep;GLEghGYqmdE]tkWd?YhLWc_kxYOTQMslcwXAboQbkytTMxVErq?shqEZax==TLSvl=bZoTIWgamb<QS<ITCyd`kScOhsCis\\LjmrLPNjpVPqQreyVTs@UPi=kiur_YuePqbqR]HSxXk>uxSUpCDPy=kpAJs\\w>@qLEmTayE=KKMUVloi<l<`LMdpQ<qcIVdTPBXomPmrHOVLsIaWMeWwUrnuQjDm`LxtujAeTE\\YEYtj<v]mLgaP?dv[urQ@vpYsJLxNtPWex[tP:@SgyS_EsvDy;dJMarlmnSDtGASxIODaSPEKDdj<DZ;_nI_cMNo?XtA_`hhsMYh@Oh?grxxfJhbQId_FrN`nuN]Fa]cNfK>_ZFj_^rf^omovMia^`\\wHbGix<Fj:?ngyH\\HiFu?nw?_sFBmdxqlFhixpIJJ=ONdmiLYMxAQgykX?tlDvVcBAWTwSVqewpqUaMTwQuQGEqafCCBa_WKaGA[YjKRKOg>ww\\[BC[r=qVMEsS[V<_DoKDA]YJmBTcb<JJgi\\NsxW]bilOfvpXwdO[gorPQd^@_XFb>ViBnang]o`hHhufgsfax[QtgFsXqogNcvxejpxT>sW@g:f[HI`NGea_pcfev`qDit;aajAnr_]kuBKG?O:<db^<JJ??ZZDD:;obHyXlMZQQILLVdk;MrfxXPiOQmNhqPpuoppR_LnnpRCdOBewhdN;qkZLlLAV[IsaASDPK?QJ;Bb\\<JJ??ZZDD:;ONj;@sq=TspMH=wVtKwQj;Jb\\lNXWHHoFlUXMLimXBTPVLSuAt^=ObEXCusv<xDHjlYxfHOsduVHOVXndhtttVo\\rIEmherkTk]PSMpvAAV=ExCewMEl[INo<Ou=Y_<NLHQuEOOuxetKTmVDewUMNm]S>YyX@WLUvFqKC@T^InP]MI=okiP?dn=muBLxo`k>OdHq^d^k=yxAOt=dAcTTMeN?IlATZQcNcrPkDIKcAOrMwbjYR^cB`kftmy>aRncIsqEtoINwECMX]UR[OX`=S=cCpEiUkCfcFcqUlwclqY>aCHIVlkfcasEuHYuEDyCDmUcUWM=CoevBWFwEfVatmawaeuHSfk[eyecCacmkwl_C>eGg;WA?dOMRJ;C>KrxsC\\ycteswaB>my>aBHor^mrssTSmF<odp[d==wDCBb[F<CRYwFKyRwobR?E<kV`AHxcHdYghAI=MTUQUS=tE=s<CBb:xMRIwClrBAmS\\rx`MIdYveisn=IBBqY=AR^YAcZAnsNon[vbVGqIG^pPm;Weh@qj`l[@^l_dCOx:v[x>grFkdymuXk@Iyt@jdql`qgm_mtg_uY_Jhu;p[Nxm<ftVfyXV\\]wpEQsufcmwrvnMIcaKtKoX;?jZdwqQnY@wJXuQ`w<xruMNbDq;UwSMYUuhpIrvgygaH@RZ<dnwqbuy;BJUuOuIf\\Yhdl@tVbIpH=xmXkP<MgUPNephTsOxN`YVttxuIQ>ivlANAdM\\YjHenddwZ<XD=Rv<lrmXTlkLplo@qlXVELoLuKdDtvLlw]xYLS?P:;Db\\\\WFctO]tYmvApcYfw?rX?qFiiFybOogK?tVykpVnmP^nFccfgixaGywkgtK@roql]pxJigdHj:?NN;Bb\\<JJ??ZZDD:;ON:<db:>NK;Bb\\<RJSDmEIQ;griVDghSOXc]wUuElMwLuEsog_cHN?bYyHPYrEggf?WDofrOStcvWGedUUOcSwCHfwhj_esaWAyshsXEoxdiVs[y^oSDUtkYcZGGqGeP;yksdkoRVsUE=eFctuqUSKS>shE[C_EWE;bGqTgPNy\\sGMqb]MIMoaUqmHKYlwkxstUNOxxnTyOtWGQvcXKOttSlKouRy]KGEtMltsasa]ljmscAk^QPgPqKTOa]Yl@p?ivQeVDmuj]xaExaTmJqpo<k\\pRQPur\\NpaL_pv\\qOI=mXhVr\\YO`L:LlatoIqnGLoeHVFdssPviaXV@y[uYIuXnUxNUnKYoWLwgIXHAykYRwqqILJ`PocixuYXHeyS=xYYM@qSb`Ui=MXhN;`VShqddumAqWyY:\\LLEPoIOq`TMmpcukjhjv\\Lc`s^DS=]qN\\LcPSg=sxtP@hkqlXdAWshuBIkRLKrAYvpVdLVsyxlImrqohyY:`POiUUpxdLO\\pVhloX@QDPoRxvWmS[`RRiRIIUupwPdkTYQ_uP_pS=ExfWllxmJfouhn<Y]@IvO>l^h^f^pUak[veA?c;flvFn<IbD_buhptneMofc^kOgervn<ImHH]Y`g>ixiQrWnkwpedonvitsnnWIeeHa\\QoaNk]Nr\\NfsvbFgoW_i?xoSqgjQv]ohFwY[TEkS^owrgwskfkuFQke[CCdiugIEhstLCtwkY^;kWqWhyVr\\jcdpuPs`HtOQnqpPGeTMasQQkaumVaRKallys>`s]yqftvDPqrytWiu\\MkeqOUHY\\dQXItCXKMtTv@Y?IpXpWfivRppSPLdiL=MWrmtKQoBTqEAsQQklhW^ySBDtoxtLYjWqUSEKxHn]Iu:avYXWgpW[iRTtxE`lSuRHDy]yny=j@uucIqbTodepWaYG]yk`moysQTKN`xZqtvusNQXGIrjtUl`y<DwdUjPTsjiPednwEsLTnBaLCtqFakqTsFxpXYuFDNhtRcinrpWQLuD=KIUj_eQcaocioTQoR@Kdpvb\\M\\MN\\IpClra]OIIoSdsKEkdUyy`oyHOwPyTpvcln\\HKH`oFmvmerS\\R@UvK@MH`THMVtpqtE]i@wYia_pdvVkgnbaN<YVJudeAc<si?CYT[tUWfM]eqqRrEx;?upIhXcFY?cNarp?iaSIEadbufcWGDIw]ebmIExaw>CtNYFWexlyweaUEUdXyI:qiTkfbOErMfb]sAAX\\Qv^gTXkUkssxuW`IYXYye]ch=EHWsA]eOauXGXViXwGr:mRcwyjwx_=yPQdFcb<sfJgbcqDOCGkUuLABmmCpKt<esQMugUtpewkSROiD=[IkcY`SXXGUVmvwEuUquhut`grsWFTAg]kcdWVfWtCyw>Kf`]w>Ii]iyhIWqGWt;UpWD`mtUgTt]WCGtj=UbkywKcd?eJcR>SYVeWcOcJwin_F^=dI=HuSwGOVtmghwddmV\\MfdoEWiyFkHTWgqUhRofb?eRkvtihqQxu]wrgwP]I?wVJuBlsS>uiReWmswvGV?MyxOUhkhgeIxgRx_cvSItmg[CT\\McikiaqCYwhCMSfmIK?fNGG_oXjgI>IIB[YKSuwoUdYWQoVVMfcWVayc[asnqxlsxnSEOetU=tjgtVerOiXHwiH]womX\\iYfWGn]U]WtjiuPgVyocSkdqqS^sxfQF[QVUQXkgboCuG_fFkf][KL@lL]m[EWHtx=XS[drVEObtsgisDqvTpWYmRrpVdPVVmvk\\MjmsmYvC@KIxVxPugqnXQoHEWlmndAVdpWHyN`dY^@x]ulf`rFUyvAptyWEUtoTwGxTGqoAaXYUpter]QMcMyUeK\\PSyDKGuLuTXy]RE]wlxvL]L\\Eqj<YhpLUMSvxrNyOBqkPYtaHtWMtXQOfqvbPX_]MoXxF]s]uMI@qFaS\\YQSywTdmoempqMEdtjUTx`yaQkBlR\\xND<yrEQHUnSTovPlD]pHHnDxpytkqlLgUpwlrYMYrMWxQQmukhtT;Px^HNo`l?hO`<tDdMTYtDMj:`vKdrXUUhhsgPROIXHXTYAQI`YIAo@TpsupQppe\\THIYMeQ]XphqKsEYpxTL\\VsqrQdU`aUlYkOpvHmRYYxGpJYuWHdolmOP]xwTRI@qoPYHAJidLB`XOtLTiWqHK_]vFtPthoUaT>]R>iT=ULNurBYoyXSuHPWIqHlVuhrEulneTGeTGaTkiT=YPPIWIIOYpmrIki]KIYygep[IOQeRaEy@=O_yxcqku@oq<QPUsgmTm`WkpJSmmmiO?]K_hoZdOD\\W?@YeTOe\\jjmo:xoTxY:HucUmnIU`XnNmN`YvxHoBlswiYJewkIoePTQQyctmXAqB@M>eRk`T>YVNxVQtyv@yh\\UotxMIOsMy_dRLQna<xy=jJ]UkLr<tYZXYr=u:Hq;yxMxrmPsetTNLYDDpvHY_qWQyLguLm`MsXVhIUtekaYqUuxKlOQHqpEkkTVVQPUXQJ`VwdMCaRNpN=IJoHOoHl<=RTaTLtRv`lKdWOTWQeUo@wn`x>YXDPwIYpQEOIUR?aXhQmtlNkTLOAqpQyNtRilm`UjSqwpiY>Yw?lswMNFAYQak`pS^EMitRLET_Hkj<RgMSg]rj=pPdl^HLIeJ^NkdWw`hoPnmRpmkgcSoxtgxTN]evnjgtOI`BPmcxrq`t`HarWxu_`O_ucPigaoGnegqkmvgiW^oX[]NwphnKH^]pf@`eJ_hZF]VNaVwclOkDPcuGZ;F^]f[IOnwQlAa[mirSwvyAZnVvQxhinwIybqvih_tkybhN_kWsSfxcvsvVhaYsyXru`[u>leqbuw[chmMhcgFaO_vSwmo?uQVsfFoIo_jnkeP^`A`eIdKy];igoHcCwcLamn_qq@d]I_XN]Bv\\gIwgocAidTIoFhxChvVHx\\Yfs^slqyR`k>OftgpQg`QXvn`hSonc`r`q^sVvV^]KG`R^rt_urpnronmG\\DI]=FiKixHwxynZ<axua_Daojp_MyoC>saOfD?x^qZTQpGQirv?gXPyRLADA]bpcDbcfvqe\\UTUgGWcxN_uh]GMSXKkcrMimOgRmuSyFEqYhYgUchtWWOOUoMgd?SdQg\\MUskc\\OC`IYqQyRyXlmtgGePUXWmxLor\\?bm?YgObMefcCImERjKSNugDkXAUb?etkMex=TuSII]EueC;oxnadhoUHyVq]yrycv]yRycVOuUQuDmhbcyKYiSwXVYft=im]sssxbSuGisgIi`YUWowRoxgafsgg_WIU?WCIIDQvjMVX[tbWwNUCI;W_KXU_b?YYIKxKCVr]E_Wfo;v>WigGUkoiRQWVEtNsbrsssaRF_XHAEcWxRyfXUb]syQaXocCqOghaE@ovbGH`mF\\wvf]RHWI]WTTWyRUiBcX=;PwDSm\\WqpNDiNyiN\\ePoHPfUSlQrL]U^pRpLoNtk>lpR`K?`qfAvA@tl`V?tjJIN>aXkUWMUV=qRCQWtXnQ]M`EyoesSakomMVIQFLVsXvf@OcexTPYuTrpeTOQyKlmVMy\\mkSlRk`m`]OHUxNmva<yL=TuUo<MWDe:AV=ee>ex=_yD[WiGUoCfQutgqCR_xtSIlaWpAEkstWaX:YY<=EIwBL[EcmiZtYdlKT<ONL;IrTuG?yI:Cd[sxiCe?ySq]RJOx=otm_xpkwmqX;ayweGnGd<Eb:=VJ_xy;RbaSy=Rgydwxtj=QNYmW@nahvRlnshm\\uXfTokPp@IQTuOJpM=hxpdS^AqFAQIAnpTWHaNsEODPrNLlI\\PL<OkhrqtNaxSehRthq`xukdMZlWvltJTsGdkphpX\\R^@jKDs]YL:=js=twuyQpO;uyKeyZ<YeYWyQj;@YwlxEPyIDwATRUyUr]lIhre=pY]Ty=SxPmTyY:@RZlYihu<py]Ly;AxPyTxej=Dxt]wQdxYLtIpjpxQj=oYXKQAvy@ox=LvipoxY:Dj:]yXUq?dyAax=HvgxOvMkAPvo=uiLwy\\NYdKgyY:<VJuqQp?:fZminTh^]PeU>gKxkbqoLXvr^iCNhxGlhn[i>fGxg_wvuPbvgb[`j[N_YOgLWaBx^:xZSIbm?tb^<DZ:?NK;Bb\\<JJ??ZZDD:;ON:<db:>NK;Bb\\<JJ??ZZDD:;ON:<dbB@YbdHJyIOwapouw>LyeIpGUrBMp>hNPIUk]LD<vv<P<DyVLlMyRw]PVxQJ=?Ob=ihXMcyMV=mgYKHEyeh?sZcfAewaEwg]uagw<IyuQEbSF?OZ=pnYQbaX]wPutyhdob;OaXqn[aeoiiyAZZ@cd^ZwFvUAf_`i:FiV>_kqv?b:cqthSthSylWuurldkS`U@hvBHUl\\MD\\WQewRmOSQQXuL``oLipxLWRDXBDTLinn@LidPxas=\\VMHr`xY:lrOxqixT=xTxeNWyqA=NxApgdyx]qTxQkQocmYwXjkejiYwoAvOyY:DKQysk=wY\\KetyYuo@xOvQStxY:tk:]Y[YuteYrepy=J\\itM]YtyJ]QkYyteIretyLpoYXVJuQRptxuQXekYAYO`Xyqm;@y<ypoQYjQwy=j>Yoa@YnyK@ilyx?:=d`oUVYu>yehqGoABKcYnqcjexLOwUosd;e]uigwEcsDOChcUTj_vtWUCIxxcT[;CDcrdKxZIxacSAmFnKSDmRu?iQuC[whFQBXSui?RoGsL=Bo_iacIGEwC]NA=NJUXKXvnqqtTs^Uwo]Qemsnpq\\mN:uOB<qFxVDHjaMJumNXHqZUyw]TOxmgxLQYKhUr:<YcQxsMqAptEYw?tx[<JvaPs`YWYJeivoQruAL:mQT`Uxpw;hxlPY[iYB=VYdKhtUq@rtEUwAxx\\Vjxk@tliXMZdyfqQrtUl=mATrEylG=txlPY]uiDQFXj[inEqVbuMUyOhxlVmj;@xLiVm]xIhoQ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::cux;Db_iqSIv_w<CtduRlERNGgK]U\\KbLOfL[FgcFd_EIIX^wcRAV[UwsUym?cpgCues>UU@STSiwFMrlIiP=fNOBYgtPmUJiFJCcaih@UChYrC[VfGYYcG@OXZ;\\pWqKycnAcgWspIb]gyKa\\V>noaowi_u`kwApYwauge>>fZDDcRAOfXks@mdOchXATTGuIaUgWSCAYF?fuytXAt\\EcLgerYW?_VJABgKfZOCXAIlIWuaIC?sqGwVgwTwFcSy@KBqEf]?cqaEMay]Obt_DbABVWSMGF?_GHCYv=CdMfwmIXIFlaIlWrRYhg=FJ;?OR;VfXPkpyt`ngmVo@I]PXckP_OWlFggmQ`uXoEYgsppWGgl`sxFcCg]YQcwgl^PhI^vDHj_a`W>hJ?_gfwToyeOhYoxxwgqY[Z@tY>ngaycqw^vida[mWyuijAVbvx[j?njga<Ij:yxDvZ=^ub^]I>H::::::::::::::::::::::::::::::::::::::::::::::::::::::::PJ;@rZtvQUtZHW_tnM`TfYYcpxPTVeppfHmp\\otplrHLC]reUKCIK?hP<yJdlMbmjDtk=lQuXvm]mVpJE<WNL[H:FQJKbA:h::CRhKY]aheUIoyGdgRB=w^UwEmg[qHCQbq=WmUu;]w\\CTSEBH]HNsYowciKXtqYXiuhkx^=TpuhdexU_wPkvfoXBec@CcO[BmkDegC>GvPKT<Od>]Fs_B:;R:Si:?vjuhesHfueqUybkspgrbEgJUHaAiNUwFubJ?r_yRkSE[wCZsuhqxQAU\\ycR[V=IR>qDfqhAMGUiXVmeYkXg?Go?CSkVUEIliB;Ag^qHj[ecyHUyfmUekcx[[reewDMDbIH_OR;?JZ<dbNao`xNOad_epickxZoVxNG`QAfaOmJYvQFiK_nZhnRq``Ot[xg[?bua\\n@q^YjpIx[F[]^lJggXFj;wgdwtme^yI:awvyEhud;;VyIrUIyN]uIkH@Iywii<Wr[KE?OR;Bb\\LD:;ON:<db:>NK;Bb\\<JJ??ZZDD:;ON:<db:>NK;Bb\\<JJ??gbS=IgAbLiuM?WXWcqewjgbTei\\EegIWUiydaedMsDMuRaI^=gsqX\\it<?tn?h^CWc;dZEr;wRQ?eXIttIWLuwkOxnshnuhCEYZwXswgyufsMwKauGKTRsd[<O:Dlg`nNtjU=vsAxnPj?`NJ]Rtdj<X:xi>[^khGBjg]uaiGiAPj<HXJes:ltgxsdiQY\\RnUmIqOSlQIiyP@kpUwOmn\\lUkeRDAjrpOJ]ypXTIUOk]U_DK?LSZLJbQqy=jbiNLuJFMy?iwcdsytpVIuyxVsQrSYMbDQdYN>lnNajZ\\j?yKBMKFmtumLJhl`eNglwJPlx`t>`SZfty_nA@tLxcLggvfksholPu[gpg@]oGpfooDvqa^ygpp]hl`H\\SG^b>lSY_ffo=gjqGoo@\\D^\\:hvA`^@ywrijxqgeflSgfUqgPHuhgbsXeaorMw_?iio`\\rXtB@eDNbLAnLOd:?^<h[Anj;@Br@SEwSehQBsqRseH@qTkuhEUcHuHckRYWHIQWIWwrUePGrT]s;uWEggOwVo?HUEWCeh]AD[Gv^wi`[VAITcMcJ?D>[F:sB:IB^crAoX;ERiQwQUhUQdyYXmwYrce@ABwuriuVMCxy;BRAuayHqKcHuBb[DDMSHGYVQVTgV>kEosesWYqwWlYfpCGQYwGIbNEgCScOorNWgh?TJ]T<?D?WG:IslKx>=T=IFcEVn[sy;bweIfyEvuypEIDCcMaxwMHgUvv?eFaYaEwtGYIsvpUguEwd]vfOdIcSCQwh]wE[GrQDeeB;KwcuWDWI:]Fl;glch<Eb:>NKC?O:=tRKiuCIgItQYWPgVICW@syXsXmwclyfkai?kb]OY=_GtOhNIwBKChCV[MSBMUIKhDYta]FbwGDcb<Vj=vwMFohprpFZl?pTy`?@qUnhKv^aNf=otPvfUonxffpPrJxlNoaHXs;ha_`rIVeIpslyvHQjAItXFqwh^qg\\XhrMi[_vupF]lVywFgh_ZENl^YeFwnN>bEgghVfGG^AI[Z^Z^flY>pJWcDfZ<Fj:?NKSEuGReXmsCnUtEywTGTeCYmmTVSfQcXwOXyiUYIg?KVVoTLad]cbgeVE;DCabj=dI=YJWIjaGaqtN[u`wsb;yogeugBM?VowRsGEhcS_EcF?gI_XQMEncb:;fNgR_[EJwcY;e@ORg?RZ<db^<FJ;GcEhm[WpmG]UwHQV_qDaygj?Fqmh_gds=gNkF]?I_GfqqDJiYBObNgb>?G:]dLkwsAVJgDb[DDxkGLRvUSVuNhuTCdOklMuLskyXY=X[dK[XNODODmQ:=JC`Ns=JbDN@xTcmMnqy>Up?IvIqwZ\\uSuKoDP``Vp\\sLuvpdsSPtxlSQHqRLwa]pLLlPelN@x^lMB]PMtp:\\TFtNOAXupv]HWpDuhuq]yXrhsFYpXeOMDL\\`pRUwW<souPJLsPMlvDr@PJk@RZ>dbb<NjAarqh^\\HaXIq_Wqf_rmAymYhFP\\FF[Spfx>khyjg^sGGblO_NipZn`iH\\c^^>Fo>Ghair?frLxfRofYNaOQgDQhehhthdpyiJagkpnFYbHwcM@u_@yffnAwlQ>u?Xoo`aX`tM`w>>tyW`VyvOVtFn]kIoSft[YqowkYfpCGqXqgHfnD_cR_knvnX_h>Pj\\P\\>H_>?ZIwlJ``Xf_ZftGYaQiqi>peqbK`vFquk`kX`tGQs=yh[gp[P\\\\QqXpVMRVMcP=TLIR[;RY?Ql=Tb\\<Fj;o]qGiOYgapv<YpuofUpweQhP_sdvxrgpEflpxupVuofxy>\\tpp=@nAIf>IjXQuMIrZNyaPs=X\\w_fhFkYxogXjyAZApwYI_;W_pgyrh_Yfup>lSi`iAbmAgsq][FljXvPYeVqdWggs@c=Wo__f_^t[Fg[qrPymSW^Ga`Qb:=nktpMDQwHLTqxRxqfXq?xS]Uvr\\rSEt[ASuTs[utJxJ^aQPDMAUWBQUsXTELssYv;N`Afm?VxIylnN[?fZGpnUYlKi]Y_tfyv@_hayaG`hCaxPahBGi?inPh]DgwIOs^oq<q\\_@n_ffgOjZ@dNwZX^fYN_Env;@bZ<DZ:?nAYm^PuX@jiYb@o_TYZshcovp_?]?Iv?H^bYhShZk_ucNdMG^AxasvjKauDg];O[CoaA_sJYhigtyGt<guxOt``eoYh^?krPw`im_fvt`_KXfqavPphrOdrHh>`^C>oBGZxV^=^qmIs_?^MFbc`sMH]BA`eavfXffFpGqpV?vxnnaWuhH`PVrkimCGvBGho@j^@_YB<CBNkETqSQKycoICgSsqIB]gyKi\\WBNogowe_uhkwEpYsauge?vE[HMWGauD<oI[eUEswKuVcodOwYFGVEKcVWTbGUfwV[QEvMfwIXCErVerksSCcFdquHcF^mEbMyhCwaETUSGwYvnMg_uhD_cFSdrsij]R_OU?GiFabE?uN=X>khJmU>AU;WruMRCCdaObo_G_gI[CHb\\\\TNueIabQvgwocPtaWgXwlGikaPaFqnuilMxrDhd@ny^hncVbqo\\MovBOcu^b@@yk_atIrJAlJ`]RygYhnPOytYh_Y_jpg]HbhqprO[rOn@fd;Vnlvsvfi?HoGPhYa^s?ye_wjWZ`Ij;g]BQv;@BoGwydJey^]U`sQO<wx<MYQxvQlZqQRmXVQyRaVclksIyehPjTYLqQOmMLxJS<NJuwY\\niMnCLLaHNqXWQdTc@pTEjYLP>eo^LPVYShDSQaJ;HxNPS<@tNpmMAvjhNqUyNLV:EOJyWqam@]WRhY<llcLKSMVUewpAuGhRqTUZuRE]O?Ivn\\jpTtg=n>DNC<SCDK:<J:Pj=Tu:=NJYuTipvqt^yqfayYmWQHRZtq;YusaTVySpmjshywsJcg<Eb;ybteRy=RWAhw=d^yI:Qr^=tdwf\\urQoUGUunEgo]FTGXsis<GVPayXeb`qtOqYUIh>mVBgIAedjaD\\QRVkw\\OT\\UETsS[ybBKcEWF_iV=iSqITQudRyhI;HWmGmauUIgLkxkYYHCCUUuluth]CleTDiGMKWeUCc?BcGfogBJIbv=uTsbiqcZeUwSsqWuJ_GmIb>IHwqeLGTYQg@AW_iC]MeUgRh?xFacUQRUQDQMfEqm>qKTYsH\\okiV:MOAuXrAkEuMiyrftYHAYPhO:ex\\TRntrrHtsxLBplvQxc]nGaU]`uj\\JDEyFlnlEte`lEqKA\\MD]LLHqvYTDEr`TjZQuoPOPdo]HtFu\\VYvy>hpXfr^sUau@hoZ@a^qj]vbVgj_vokPcL?d<oi<AcZhtxQkoG\\eiqshco@bdi]qhgrVuhwg>`uRv`N>g@Hal?qCIsKAZrnpEqZLo\\TOyb_w^npL?aQG_fqwCog=@gGQwVV]hwlGHdIi_IYfKWfRiZPixP^weIfEYdcWf@IiIF_DNduNm;Fb?O_cfvANjAgm@^qnxtqgimwxqAkuVqGXkcqm@@vTxbkOdWYtfXiPgjCYyhydCvnPFlkft@I_hO\\^nhxgcd>Z_X_AflH^]JOcXPmu?wuoiUpiQhm_QudoxIfm\\Ia>_wQOdjIgl^i_?ui@lPQ\\uIZHyZBHuD?l\\y\\AaZinkIGgn>]uWhuFmdIueXm;AsptnYxUkiYyr];igkxF_SA=eoQXUCxpYcEMXUOEMqtP]c^yFcCB?gYe[XcgUdOC;ASoQs=YwMUCwYyIAcqwDbcYsOY>KVtOYgQR=AXBEQpXu_LP^Um_QuNaYOtr[lv^@OsHmnaoqPWXDQCyN:LjNApmextLwM`qGTqhuv?mx?QPGqM=MxfTOVeoQDnf]Q`ySD]RUaKRPsFTpkDxVPX^qv]moDaTREJDMTUEjXaTb`nPds]tWlpnEtPQlYq\\Q<lvviTPMtVhl`HP_ePgMYJXxBlwpMS_HVOyNGYRBmk:YVJDSBDviuUIttx=nSmxsElnqQ;]P]qLL]WEPorTvpaOAqtWumg`y\\UVCHvqtlK>yFfbHfZ[p_X@vixgkG^C?bDo[TXm_`uxNwnp]xGbthwlhenVpJG`VpnpgaKHu^`bw?`afqOfiypcqPajivrqklWiQOsAH_JO[JGv>g`?IpFyy:No_vvsWyMAtxpmtGh`ptBighQhmAiCi`Egd^_cp_[a_]<O]hguT^]>gjvHyFf\\ghfW?o=Gk^QZ^PxMVf`p]typGgotHteXy`vuhGm\\opgFeKyhgWgrhejIgiGad?sgXtUihBYtSXbvHoH`vpH[gWcdfxvQt<P[bo^WOZ;@BexmetXEmsYwiYtxEuqyPklomTNmpkAQLD]u<yRJ=tvQTZHRm]lLxOctSHiqftWQ=wSqMNLwhLl]eOFmSwlP@iPKDP_evL`WQ\\JlptFmNWLs<It<AtH`x^@JnPjM\\Vb]OyyRm\\xspyhMyBEwpPodaLQmvYMvUaNRmWQDmHxXsXQjaYaLvpPyCUXeTTgmPNuS_PShItp=TUQyUiqxMnUH^vvtcgM[SmgsgqHwOvP[RgqSOeGQQhYyHxedssCOoHRGx[?HqeEgcv_sDCCV?gE^?v;kUQqe:yhOOiFuslEUauchOVtwUEWfTgYFSVf_Fp_C=orNQhfGeWECikDQkHdyevSVeiwh[dgcVLCi^?bJsejQioUhvGi`EBoAHLgy\\yfrgG[;e@UX\\up?MPnINkipfLM;XsePj[mWg<YhdRJMTI<wQIK^uSV<txYpG\\x`MltDo[eMu`PUh\\rPbegcaqvThotomUiveabyF\\kfwFyrfAdAOkmavOxh=Xrv?\\s^`Xni_XalatgqoDYtgqqgWgBG^aOuUaoQGkP_w=f]txsNWivo`]W`]actxckcfAuK=dLcF_gYdsE^aFlcC@?cWeiXeGwmIosgB]YoaR@]HaqGLlTKUkU@qaMqBYM>DQRhX@QuN\\UamNmXpJ\\WQimjATatJbuRqen:qX[HvYPyOqYChK@qYByoYLqhPjuIWwIOBduy\\PDaua@LUGtVighOq\\QrL_jE`dl_dCox:^asAn?Pu]oqHVpwNcgIy@>vthg[QqSVjbixtXyjgp[ydGFeOOrgWsmNy]Vs_WdL>mvo^]N[UgfcNcA@h_ybO@ZG^ZOHwmwqFynvOisOmRix]Pc]?ftgo_Han`mEWdk>[QGbl^ac_s:`nBokaipKouCg^>Vx`ij:hn>xxJ>rTwvNYsbpl__taYdtYefWk;_ppicaQ]@aoqXm`Gn`Qt`nnWYf?P^engFOil?]d^dA`AkhUqSECrVQYdCE[ov<aYSqFuwhkuCiIgx_UwesnsbCyXasTVmR@gcaOe;svlsUP_EpScIqB^?HPaVxGTC_C?eVDsRxCWDuTdubdkDOoUdeY?shUOXwYwUoWDgWuORfIuguEUMhegHGqteacQSVP[FmGUOmBjaISGVPWRIwxxOvJuFeggfDYN<MEpOdIlPUXgYuqXPfUwS]Xu\\RoujslTFmv?UR@uWr`vUhlxDsaelKlWauPnMputmkmj\\XO@MOgEoLMKUMrDYkd@X==pfUPtYuy=J>yXuyQatJLUmHPMWMxepOUTorHRmeYclWUAL^MRdMt\\uQPTsL\\tPuj=LK_TOVLJL`YI<Xc`kOaTU`YG]Wm@R[yvrpYTPSHUpvUpbXjD^gP^[ZXsQXu^irN>p;Ah=HvpPZPgpixk^VnIP^Z@g\\nidpGWgo=HVgwgaUiuGG[H]QYLUwm_gwAwRoXOkYMQfsMsUees_HsGx_;SdmWdWV_QWi;cA;i]meLmUV=cHeupudp=hWMF`WyWUdyAFXWUlIw?SrbyrEScdcCwewU_uPuRkCb>oxx]TlMt;egQGdZ=BtwBwouy;rUQIUkeq_iGmWboW=?vraUVgfcqXvsTwQy\\iII?hL]rlWiK[IaUBjOvtKwP]EyIe<cV[ESkKWC;DZkVQWsGSxs]T]efRqGdyvcQDkWyOIuc=TiAisydn]b=cUHWUkuUEmGjYIUUgbCg^=RrsdAkEsCF?kXoaIdaea]fSGi@KHfubDWUm?sqSvGKwUCthWdF?Cp]f=ktfqG<]rj_Fa;DTKxLwfbMtOIu_cr@YEb[DDdkhMYHQme@ophqT<VU`TMYy\\eWhlWADuf<mOPvfyjNEu\\uU_LwUAS_ANbhn<MuJlo;hfc?vqIh;o`ki]]hwyxZUYkUgbAahp?rPYmqHfpvfkf\\UWeNGaJVswWk=?o]vjNFpCQdOQsNPnNGcx^hPvZGo_X@ey_cgHZQppGi`OamQp^@yaNXphopbFm[^fxaZdOc<htHFagG[x>[YOhwQh_xhrXpIio?qZZnuphyqhmxou^peThym^peiZY@oj>pPQpfxy:VaNIiIqiBfrgnwBi[lFtIX]lQp^VqsIrZFy_>gw^nL^nAvjfWemyu@hkiWiUFwgitYVZMinXgpPVrjOqcoh`HwvGqGVein_<GZCq`aQnEiv@ye=OgdN[^i^:_^:NcsHZJPa@ihC^tHPmuYh>ihAacnNnhVgpvxdptVofX_adaeiFsEx_Aq_`>_<WtxIyx>\\EgiVynspiZ?t@guIygIpo`QrnQo@_yqHa\\P]GvhLYmf?uhqfTFfBhuaJN@mWMq==ScmKwiQXAmNTWdUUcyu@dJ_Lsjqxa<Pq]NphobPmEukcqt=pUqUjpdUpht`xrBPSBqUCHMZ\\VuhmBPOL@t>XX;AX[\\n;xsnLKGXvbuNKqmuXuNTUNqk[TupYtGpp`=yGIR=Dx@=k]ule`kVdMJXJE`WjdV[hvipnHLREev]djlqmHavP<wpTJa`PudM^TxJen\\MTgXtMmkUXKPXuTLlWAkqITvUtWPtTMkDALiDtWMo]<Lr]Nj=wjtYDiUXqvUixcYy`Xyt\\TfQVOqvwpvpDSlxVUaOXxOK=UMUT^uRByW?QtQDREEoadLYLpxMSDtvEiUfyvUavMemH]SoujLXpSyu;iXAiN<iWgEUvqUCAlguoppJYXX?QuIPkZXpWMU<aYA<JJIvWHmy=J_UJiyqwAjMyOVymZPRWqWiXusIjOuKayMhAX;ax@AvRxxFHJGePshWHUW`hU[qT?YK=XXvILsAqcmKSTTDyWPYT?DRX]UJaWILxtxLL@whUtmeS^qX?iWU@Y?axhEWsiTl<sLIvBULTXji<ydTXDTTDMUuxSRdnatU;ArcyVixpgLTfuWDupWHL]qLu`ovUu>tPXiNTaoGDoJHvrTYCDucalbdL>LJrAJL@Yu=wZpy<dxJTwa\\tPIYc<ypaSnuw@=PEqyPPwOuxRHQdqN\\XkF<KQ]v>IL[yRELLfhxcPRt=TvxRXEtGtkK`P[@Nq=TBqQNXmn]upTw`QwHquqik]lTVurP]XqHOEXVFyY:Plm`twqndEkkXskqn@uW_hWA@LOXO=QTNLrNYJBMOb<RKypglqwyV^YmyXkMYO`pQWDVq`OxmjdltEAosqU]@sK<YQxkq`QjmWeLS`yP_]ND]YA`lPDR?DOCttdEJd<r]eoFLwMaTmHkdIK`dYixxK=NtUVXluQQKXuoIMWxDklAM^YU^AuKmukuj\\APkQkB@P^ix[pVWUka<lKMUB\\NpTr:=NJ=OcxTVtmGDS^lNXIsCTUhpoppk@iUWHJq`tNLXIAJg`n;DSx\\tTxQbYv;nowabtqj;Oq[qhS`_=ytpH\\GFoPntPplMNvVgqNOZXP\\vvjJxxJocWqxegjMqfU>]Oi[?Ig`X_cGlqvcjXeGPwMyfPPsUpjeaolvnLOuLIs;?[dn]w_nYvagoZAFwuxoWWeqxep_rqicr`[ivbkf_IvskyfhoxfO`Pq_iffPnpVQbO>ZvXy?`_rfeDWkEHvxNoBwcbGdoQbeQwSNqWWyZOyiHjgWcaptSInYQxFqxNFuMhxmFaGH`rnn_n\\y>ZdXcKHtEQpQFsfafgv^maaOxu:a[CgnUPudyiohwrIgHostWlTapeG_nXgdogfHfsqgLhyt^_E`grIdx?l`hn??m\\`dDQlO@ZnHjey_UQwN>lHi]Zwh?hlfWd^wdGWr[Am@faMxs?`lRgobap_a[g>sE`bEYlK^llplNilqg^hfl^Vx^AnwnqDa[EQqG>du@w@PuoW[UG`uahcwlFva@VqX?v>YmWAvx`xRogxpjViw[fe?hc:@iZ>xI_ZJWgMAbqYnQYyyWe]orqIlohsG>tfw\\UVmFhppvuDxvi`eYGq`Q\\JokYOhq^jZqg>vdWObUyk]AaN_ncn_gFbd^Z>NrcIhxxft^kfWoOfu>gytneaNhuhatf[iy]lnyJ@kmGnEqheFwgosAVi_ggO^^Jx[D>vmyr^>_uG`Xq]OwoupuWq]WywtwiIPeZAg`IdIXugydeWdE^cuPp`VuOg^eol_@__Pg<wjdOc<?iIwpYhg@N_YyPudtKui]DQqscWfmgspOfsiYm;dnMv?qYKYHCkwi_RIwfTICHOXcWTW<KJLm[iNc<S<Y[ogcphlHFx;gbLiikih?OuXaynWq`geE?`WP_Da_t`uUXkrna[HgiVt\\n^YAh?h\\Lg]CP_ffpO^oNf^A^q>Fj\\qkDVyN_l>@K=eieEuYsU]vFSyOUTqUxvSwfKsZOVtGw=wrO;vdEiv?elmTSWDVseG_H_UWkYg];rKsb];IT=cAeiXIVWWYtqegQdiQygETbqiXYHeYbEac<UF[UdhGtWYb^qYlQtYOtLOxAWDRef;MTTMDNmdJmWDGyZOE@eduGTMGfp_ULSUbigUgbkCchqHYgYcWdGeF>msv;y>=tN;GNKK?N:=t[iSGaxqCuPOH]GwGATgswDcCXcwPEdk]yRSUmMEIKCVsHcCbiyX:IdZef]MBs[EYKYBwScoeBuIAaspOgUgE=qBICxN?iHigB`qWetntvtEq=HkB<LLYLf=SCysKXxaYs:<uXPUnUj?PupDj[UyjUtaxvstK[AMnUuoDMqESClxDUnj@J>tlP`L^DOvuKlLl;tXD<ke<QYhrEln`pVqXMOlWmetaMwVYKhivM@SxtuZYREEM`Ymi`QcIx@QtNpRkALSaNHPju=JxLsApS=TPgyY:@NiIsGINWAMCaPEpvRXsQAMHyx@iQ_mygLWMUODDtDUmNiVtLmJqWlMT<xsJXXl]m>@QEhLB\\S\\\\oPQLUiSZHn`@lJ`L[XNB=jA<L:hYNtMDej<BJ;WvCEXgXIkFPEgrmYSWVAWXpuS[]cHuXVOv[kh^_x[OrJUFecReCSX[RJGbZgrtiybeVnAXViSCyhFuU`mDUaCq[UeMHXsStgCN_wXMXCKg]=s^GifmEuCI^wFY;F?]ry;btUEw[vy;ruGseyI:]I_Yd^;gicuW]xHKYnEwFhYuurlak[uSKLs:aSmDQeLR;tRiuW^yq]@n;pVZ\\TC`JuAYZAJWLmEdpwyPgUWQlsQpPwiK?=Xe=VVLOhDP\\MVR`xwiN?qpJtnO\\VwdVLv[yN_ENy;@bZ@dbf_gQexYglwepqiiwX;oI<tpmYoupMhy;lKyuyjANbqX;@rZXRwQRBUm>tT<xSy]TSxojEQnDlYDnXLUnTJkeM?`PAlsouNBIxvQkIQL\\uLrxtBuPUTVdatPdlnQmMXS:hJ_XR:Ptn@l^DoZ`N<DJ;\\vninOeyQIwQlqVxk[pxgeXHhUUamPPsiUuX]siuKOpOauV_drpQJ[YJQDUCDUDIKlUTIena`plLmExJLqqTiOqtTkdwI`UXYY_DYHYxaLu;qMCUYNEPvINsekWikDPV=IxXeMSHtNxlDTngpPVLTJtRlQku`lNdJT<kwxmcyl]XpfHS?ax=xnXpJdqW^ePIxpwhr>lS?hwNao\\`u?mqd<kkEYqEmltYaHmpTMExTThTeYnIaJ_Ls;hQw@tW\\lcqK;puaHwHpLahOu<UkxTOYV=iJBYPrIUPYVYlKJhY>=o^<QLUMELtBev=El;ysPTOXMyLpVTDvl]u`LTmesZUuP\\Wyyjg@OtXq_Hxh\\WFuWd<KBqlnUREijlDsyg_IhZ@yZ]Ok_F[J_w;VqWIaLiw:YgQXcuqhCpg<pvBPeS@mbymZacPyfZGdIhhQXgfna\\QtvNkLYv>@oIN^Zpov>onvnohu^>wGFnto^@qjoAcnPgxwleos<VrP`oMi\\UXl_A_GOwFghrNu`Ve>fbrw_k>^pflpF\\TqmPOZswcd_tUVcbI\\^Pa[?jfOyiAothbm`gYhbfOe;HmDiqTagsom_o^iahuHrjYudg_LAbKPs\\I_`AlM@vqW_mYi<QkPOl<w[hykVo`Iamoi]QiadVwqoqggfLYmGVk`FgWX^Makhgwmgp\\wxFAejxuLndfqZV`dq`^MFyJ_d<PjP>liP^@XR[XkqeIcWWoGokvXOSnsxgMrnQi]sxrmw\\ysaWcVISsMy?gvLig_aFV]D^gw?wYUCry;RbsbAarmKU<UEi_v;Cw<_WvYxg;BoyDqmBbkX:aIA[dTiscISNUTfciR;xfWr`ufK_w<GX`wDvUfJKxC=UpUstmb`Uyg_cfSdaCIhaYRuWAif>etjEiDYUywB:CyduWDMriaxTmexqgiSyG]soSu]?TQAHWGiKgDsuEAkWq_rviBEgFloh:yU<Kd\\Ki;oCA[EDeGuOSJsIn;bPAX<cyJidHMii]smawWixuYSygVEAbSCUY;UYKi=suy;B^oRWqyZcx>iREsheMFrowrMVUaGEYxR?dmaChacs?EPqI]sCQ@u>@j^iN_DW;eWxLMNEKDLtCyVBMmE<WXtRnLK?pJ^PQ[Ywp=LgYXgpp?iPiqUmmxk\\SA]M]=ptextQl=qO\\LOQhl`LLDMu<mTsYUBxSLxSaYYs\\pQppoeY\\hsPxVuAYC]xuunX<nWiXIHUmTqfTOphkFDvrhj?uvRDm[tQ?PPXpOAMrJUUXynCpXq]l;<rWLS;<Ot\\qfQqkYtqunP<MguXfTrC<sfmP?QSD]j_uX[tPstWsLOEEvWMsD@xPEweEqadPXuMjYJTdkRmWILWwIppyqNUSXIUeel]uskTwXDo`QKGaPY`Tgyle\\VUambQXUQOO\\wu=x\\UqUal==WYim:EObMTC=o?@pZ@LW\\\\QvcVwlwG]@IqnWwTqio_y:hrkV^[GjiHuxwhpOigNy^wjTghuaiRv\\HfvrNsLojQaxHXdTQd;?cH>^b`^YweGv\\GYhWGku@qWX]mPnHGnboZMogNaqoFb=^qh@ubqhUge:ijpo_[^icH_ZVokpaLAZZPptp[ux_oO\\oVrep_M_fVGgtwxbXgGxjwG^mxuYn\\mXnbA`JPljp\\<^m=OwJG^Z^l^nxD`[uGwMfgawclio\\WupYxqv[_Hq@hf]Piyo_oafOAgR^]ShgVgwJnoF^pROq^XrLoeM_[vxrh^jKPwJ`auAqZPkh@wIYnqqothqaPiSVtuGbox\\kGmpgcNhrq>kkg`un^;Xg?ioG@AwRhYX^aC_CcGIbVqRuuct=DAAFpef[ghhgHVoCLWuFgYJsUy]HWibWIHuKdlowUMe;gShED_sHW?TjkBicvwgu;SCuAChYrgWVX?yZyTI[cHQWUAEcwhnAEWKited^uHWYGNceUueoqXAqfiICV_eIYTUaCcyc@uUigh@]MBDXhHx_YUCYj;Dr@TJv\\x:APdqPeLw`hvt\\k`MMoYY>awTiycDP_<VPamHpTrTxVEPUINwMlftVTEUdDRvaoXXt_Eyx`vlel`LjwxuttkbuoHuQBuVmypg]sUuoP]SEpo<=PrupFLyOlm>=SPIkgYuuQNq<pjhjcpNYQS^ajsHbRXvHP[N@lEQ]MNopqcfhaY?hgVwgQlgNtHGkgYx<nqTOmIqopv`[IpMxuhIwEWcE@[B_wU_om`][ftwFv:h\\dIyA@\\bo_HAodiwdirMywIqkm_yIAyL>_yVmCY^eQZfaqmwy:>\\ov\\qqZbwatpjAotcWtkxsYXyJpgyAZAYt;Ovnykpvns_u@Wtji_Bgk_xxvQwEantHpfOsm_geV\\JXxqVeo@k[>umYdG^gJ@vwg[xp\\u>[vf^AGlUIbiheMorwW]vwt:VjC`gmGcoVeYghUW_Qp]UAfKYu`?n_?d^goaykdoyX`wMHv?if[xsBXnXIZZqiiOhLY]Hhu@V[dOtXalThk`ppF_iT?^]YquWqUG^TajoQcJNmIPfo_nkXvbhZw>uN`Zraj<noXYvAa`NnkD`ne`nx_uvIyyAZ:iyIxx>?d[wy:nbZWjLYiX>^myy:visyhkIuNp\\XwkhY\\Co`_Iw[ng=fcoWrdnyGgeoxmBFr]Iw<p_JouEGa=Ft[_aAXm_?v<xujGebFZDwclOlLGaQgl>NyQiiCAw@HufopfvjWWhrAunaaUP_=hkRymLXrhH[qGeDPd]gbBGgDF^EG_Q_Z:HlAImNv\\GQZ;Hb@faZfiVXw`VwpYbiWspWt\\OhaIotgaXXem^ulFuS^aBamni\\efrH@sa^ptXekWcDOcO_u`Pj:f^\\GjapyKxjC_wYxgbwtFVvnodfOb_q\\XaeyHgpIbXqt;ogR@j=>pxYjUQvvPvPOc;^gcN[]AlhHZZn_HgktVxyh]QAgPxdthabAeTxrfGqHAfviyWVrXOpqp\\gwnRnakgl_Fg[qcQPZ;HcjwhNXnyPlQPdL>]QfeoYxRFwontE@dqhftXigOw@Vkhw[H__JFdc@\\kHwm>^]ytUIdN_f=AmbHv?_ntNsEIj__ZOh_ZNibHe;Fv?HqWyaeI[OyqiGmPYsUVq^QeKwpPOheny]OoHVflPnTivVwn<_brnxBqoBQcvvdAOlPQZAWZLH[ga`SV`LQ]Qog?hwkaekyy:fkpYZ;yy:NuY@nrha^N^A^bGQi^vy:^x?vqrapdF[gnhCY`VvacwjfVtWi`SfmlYu:p^OwnLNydWfxO]J@k[?c@h]Lo\\PXs^`Z<NdAO_VFyJ?gYfdihaCVhG?`spgMFgsnnjhgEphyVjPatWg]LAyQqh`v`O`Z^V[tGf_PjSafyXs]GrkGjRQvCPbNWa:vgaggpgo?yepX\\@@uqp^La]OI_theO^k;i]Cycqfh;I[r__I`difra>qIxduXqIP_GvgnGjeY]mhk>`hgYrpHatxtm^aQWenfsCqxsNyJowGfauitXQeaaqmI[<XtGG_ivZ=GwDO[NxkSO_a^jjQpSvsKinBygSohMixYX_CA`sAeoQsaQqvotWWrYnmdqdwIpqi]Fhp?IhCgxNopNQn<xbKH_^FiJgdpqfAotAnu:xvIIy;vnY?qwFbfgx>qtFvZfWaXIuPVwonqcQ^Eynrpf\\`fGivSwbZyv^xbpH]p_jmv]?AxJgnHfx?Hh:qaBGdyAZ>?tEgglafp`_AynXFp_?uwptvVyWWt>OxCnleajQObTYlWVu>gjpPwN^aNhl[Fb:gyZPkEva\\xmbAlUymfQjAYy\\@_jvy:VnDIbJio;Ahswy:nruqawIwDxZEOhyV]Q>d;wsvyi=ya;p_<PsQierWrtQcoikNi]WqwdHusWJqw[;HE[B@cHXgRPaRBAuWqGJctY=gm]BneGGIf`eeE=cnsSoOhJKdLcH^Gh?WrboxDcxL_H@qXEiIUgytexm=Bk[Ga?Y=ygIuvS]f=ebyae_wYtHvA@TO@QUEK>Ax_<XsXT^IX:MKJeWehUqyN\\Tm_UpRMPWhxIUv]ATlaWdlKqLVxUsH<q_dU`EoCeKSHN^@O?`O_\\ULLJAmM^=TY]PDfZ@votA\\JNiHhxP>Zui`wykiEW_r[UwSKI^sxUSiZmyx?GtYcuwv[qGRohA;WXIyK]yaySyihAAfQuETegpgsFcxWQRnUXwWyvgDwYCUiXA_cWut]CcnmgF;wguelCRgkUfIWMOvnWgGoRSUSEUbw]bsaFsgbb?dEKIvMYSGutUCgQuiUDMAcGyV]sboey?=coSghuUqQYWoyVgv_[VmWGAQVbwrDUFeMgTURc;ce_dNqS\\;i;CXIGcVIRLSI[avy;rA]yAAIfKICiINYWE=vt=vIGu]CIiyI:qIOov<IbbMgDMyAiwIwsY[yIAUy]H?krY]H`;CwwvkKFIyI:yhyuDygUSARcmwAUv\\KGBIiyySryFjiFJcXG]UtcStkxsqHgqriifyyq`HJOAn;htExNRyNxyQ`yY:@RKDrTYwclntTNaLSnuypMqOuNQauCiwwTwoUmvpQ\\mlRhvSuXuTt;lT_AKBaMQdM<eUH\\jwEoDuk]LKBxVQyphpX@upkQTayqUqWIywqey;IslTUVePYMv;eramR@en?HoKmUtiS?ywl`lmPrJlL<ERQmOrtJvHYJmWAIsyPMvxvwym?hY<=OhLK?>hy>]YpnAOysPwA>rBwmc>bvQfxGmYNwaAoYFZ\\^i_XZkIktafyWoX@nv_ZCPxNx[@y^cIlxqotGjjQ\\aNsJwaR::::ZC<::wA[A:::::M>::tI<I:::::`B::nY>X:::::FK::byBv:::::R\\::JyKr;::::j>;:Zx]j=muuqbycYkYcoMfOqccqxFiyBUD]Ai>]by=dbWBsUSCOCAKfiwDK[xSYIKQrRqvjoh=AwTEwkcuXMEm[I@iypES[qwHmXOEFtMe`ggaoFQQTS;xHOhJ[xMwbm=yu;gqUd:=nsYSClMmYKEhONPqM=KbHXa<lNhl^lKB@Ns=lAEu;YxoLugmPBAspLUZDPPTp=qj]lR_iopHJC]q>\\N:`qCyY:po=DvjmrkXyn@WQYqgllVDojxLYmk>AKbXuKhTBaQ[Ls>@NlyjRXVR=ow\\xNTYhxNETvhaQxiqG@r:DQVdY[@x[pPKyXH@YhEo=XQTiyxTX;AtZlNyQNkyo=yMDyY:`vGYqjulvlyKLYElYyhqw`qrimwxuUhvgmXs=tN=wctPfTrQ`QVAMuluk<sLdV@An@ULdTLhAQQyjKPU_LjMIRm]mw]POLODhWiqK?MP_qpvTmSxpVUkZljF=yG]QUyJHTyuIr]mMA\\qu=oxpVA=Wq\\lWiSlxqLGr_GqxOZv_dpvc_FZVOhMvsYXZDAjoQlQq^ZisTiCIVCIdLafA_DpMTV;Wb?hZctKMs;UIrmInoEtss?sxOkbl[rpmeEmc:?i_MTEGCWcCI[rMcg][IXIYZSIbiYCMcJ?\\:^]:vZJ`\\X>iPVkOgoCy[UggkXvhXd?IwdFf>@nvHvpio>w[SwePaibI\\fqxrxpQnwkiwKItdNcLGmL>d<YbH`jsa^c>bl?nxnsw_lRvwLoxpi`UFhTXghxdVFk@HncYrqvl\\PeKhg_IwMnv@ac@wulVa;YcgwrV_rPXiBOeYPbCiZ^@t^GtfAnJ?_cvlvx`LFsPXuSp`kngsH_JXbdvm?vpE@fuQbuGr]qmAfyNw]Eq`Knj]ychpdoNkUg_HAqHxrWFj;npN_nmys>fnZFlIIu;_dZHxXIxuq]Cw[jqh=ofCpar>eROff_ftpk[awwNo>Vh`aibqaJAf=op?og?Nqe^gAgf;^[jXs[?[gW^BaZ^Hi:fa<Yjoq_^FiFq_fnpJWwH?^[prV@bLodL@aZVj^IbYffAnsQQgqHe[w`gCJj@blbakU<K<Syw[XYsFUoc^EvXKBr?FIKFb[Ip]EMAe?ATeAIXSy<oeQ;chkFFqHSSs]IUI;vVIxCqXJOyaYU[cE\\EiiAY>IGpmU;YBFqYRKUVIcpcr^CyKei@YBoKT^;ykCDLSVbgg`;tJUdG[F_=GB[m;\\V:lMV=TruwRmjiHltXSsmKuLjtYvM\\xois>Xu_lOrynn<oXFrfyxDN[O`ZJ?tGIldqeMftYFhUHqIA]jXc;ixYg\\>igr`yjFytGcpWuSnr^ii[flqD_iIdgE>EgVsCxcb>GG=KbWKXe;xgETUKFu;WBgV@SUBUBcmE:cv];s;kGNweCoTEaUsItagkHNvcNcBXyfh^E_fb@hDG[V^nK`vr?nviq^gpCAqmnhKxg[GsKOl^xrLppL^eb?_j?nOH\\DIbuAix^h?FegVcsp^lYonWhk^[PHdj>pYh\\gVlCAbY_]>Xxayrv>DKYDgGuAt?aGQyjf@Uf=klaVL`vDUkCpPVyxMHShMT:Qo^IYXpYYMQI`xrHLauRVEsfIn@]M;YRG@qJ`Ng\\NjErA@S<pQ=IrsEjiejeQKVUKfqr]tR_EjF@P=EVBdw]<uLHL^yJoMkIhrhDteMP?=lfptbEXRLKdTSK<UE=w>lmCEVZlKCaNTxkOTrT@pWqn@EQWaOKanCajx<Wl]N?QrVqKhHR_Mk]`LX@Rm]Muej?HjthSxhMF=VPdyrhLLDphup?iSfyxEyQE^x?XsIpgX`siYnnnonAyEFh@Y]I_ksF_C?eCfaXIbM@gNN[?rIyWuysTmhQqeyedVUvg;yGSscIxJyhlmDxSu?WgA?s;KrQ_h?]xVmGIWr=iuB=VkEbycF[CWC;C:IB:Or=EfmihUugJudfYY;mVNuFAqcAATL]u<srv=hL=v;Sx:=TxcWPUeGKRDgGPUY^=ik=TCkWvktLUucaVl=YD;b=MdCAvx_EgoteUcgUhpqhA_T@muEcS`SSC;x[aRxQW:;Dv=gw]bsKsIiwLedgiY;QXSwx:_rboCHgEIgfNAyTsrv:Iiu;wx=G<UU:ggn_B_Wf>;Br=RJUdyEdry\\N\\U<JxWIVAX]U=\\qIPvraweTTSaMU\\LalofXnoHmeAk<Tyc_vQ@[hYZPqa=qxYhiANuSUgmx`]udeLXLPXEyHQqR\\s_@PqhlsUS[<nlYnpumc=nAYpTQVVyuuxRqtr>EOcLS^ES=EKHLqM`vJdn;Ps:TyslXJuYilLUmR;ejPYq_Mpv@SH=lVekg`jtPUr`QHPTZHrZ=JbyqyLjgQvY=Y^TraAw;tMBhrjyjAHvkYuSYufiw]YSItVXvajg_jiokWe;hgB`tr_wZd_kBU=S=hQ;DOX<RyAtZ\\YUaopUQmlWoPwpxrFxLXXtHmNmDKfiO?myl=SBambhyaLUbAlfqXu`YCYL[Yu]PpveP_PTXHw>dNiaLHDjTAJ_]RIHnIQP<hmiulfeyBIMV]wgatnAyO]ux@xN]yS]QyiPKew\\ULk@uWeRGpQaHUrdrKHRtaQnxXcTOv@X\\MJAmQVAL^`WQIvuxrCuPyywYuvKaWUps]`vRmJ[ToUPTgiPLAwIly?prRpLaaxSUKtMt=mKDEYcLSstRCLSC`je<LLLLYiXU\\yuHM:aOtEXeTn\\euhYkU@uiuLyqlUax?XSIpwX`siUnnpon=YEHX@UmI]kuL[f`ZXxwZFsnP[?NZ=Hsi?pSigl^nGipTQ^@Qi]om^vpRokNH_oIytYsZNZmpvvwsxXjeqaYQ[cI\\Eii@Y^I?plQ[XFfpQrJQvI_pcv^Bykda`Y>oKX^;qkBHlSVbg_`:pjThg[F_<?bZAZA>l:FikGbaiq]qxvNlY>vfqjGQ\\v?hj@p>AuCihWVrRYiN?[aassAtvWm>Ip`Pn>AjPya;F`ZQaWNj<IfpF\\WVfXp\\RYv>X_FIyHx[S@nniefoxu`v=OZkigIh_<@n\\`s`P\\\\I[A>lu_dB^vJ>[yUOIbocDLaybWGCgGNQa[ptV@bL[Z:EMmQJYQKQiLrplRekAqKDMJSHv@LrJLuA=P_XNByKd]lYTkWQNQaVD<nSioKMVj\\lNml\\@pP<TC`qMLR:aMLDSn<KpUyWmq^IkjioKEUxQuLDOIaP<QtqLKAAJg<rlM^[vslXjrYo_Foq_^Xylhok`GnLPt`n\\MNv_Pps?_EVvJpmv?yaQkI^wEibh`ibXx`Yu]PqvibcFdYfh>HofglHF[;W^NPlvvkN>]Y?o`VuoYqmOe@^kYggUwjsHwH@nRO`RvhvYc`njmym?_erPsQWyPYiGGyBqjmqgrvjTVxA^lbhjpoxJxjSnq?Qq?ygyAZSVggWmmyiiOekgnQVc^H_tVmevbS>QsulkH]_ISKRd_S^=yKUukoVLoT_sHJ[EveRjOtZGEV;sjgWJGupWE]GvRIXTUCFQXT=YE=wBCFcYBf;B:;gx[HDdZ<FJ;GNKC?ZZDD:;ON:<db:>NK;Bb\\<JJ??ZZDD:;ON:<db:>NK;Bb\\<JJ??ZZDD:;ON:=tym@::::3:\"\{\}-%%ROOTG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"&++"F*-%.BOUNDS_HEIGHTG6#$"%?;F*-%)CHILDRENG6"%!G

Author:

Itamar Bocher

22-Sep-2011

Audit:

Omer Yagel

Numerical Analysis 085135

Home Assignment #3

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 1" layout="Heading 1">Q1</Text-field>

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

The following drawing is described by the phrase 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

MFNWtKUb<ob<R=MDLCdNVZnM;@S>T:dyoDxYj:HQcXN[noHa]c]>vf;gc;kRyr?lyjP:`Jr\\nfHAWrjj:Xvq\\TlR^YTLCTJcDXwTuux;cGGeT`gCUMd>wdV[df=rfKB=MdF?c:?FB]D?uVFUFZOf\\]EWGyWStFocS?F;AC\\;GZCw?]FaCd^KbBGE_SFbKd]?Sfwua_ydgwxCheWitWGWehPIUD[TiQuuQYdaxcYiqethwf^kH<[BB;DZ@r:QJyQxityL`Q_IOIESPAU]ek;XujQR<\\JB<<Fb>nml>sE`q@T:?B;KB>ky[;FJYIM;CJ;n:DZDQ\\J>wEQlq_e<^ZBBTCFZ;tqKfFoB;=b:CB<\\tL=RZxo_EunMm:D:cTK;DbYgLECwAn:D:cwM;DbYuQUX]kn:DZD^\\J>wE^rNa\\;N:KB>;C^QDJ;wmEXSIe:CB<>te>^JYa]>[J>^:k:EU<LJwEUlqkEGZ<b@=CB[xG?G]GRJ;n:bTMCB[xo_GUoSM;n:fdK>\\bYoLG[wA^:?J=jpIKB\\xgYosHLM<N:Gj<fZ>Ny<F`ofb:T:LJ>LXC<KnIqr`wFGZ<JteJ>LYa]J;LJ><;;GE=RZwGEmukECJ;^@?[B^xG@_]HbJ>^:?JdO?\\JtQUPhSaHKJ<N:=ndLJ<dYOMO[xM><KJjwMJ<dYuQWh]r><KJ<NJ=n:@RY=N`pnB<LZ<R:@Zs`Z>NyV_epo^:?Jfq<NZwX`<@Z;NZ>JNhNZ<tQhNiAq><KJR>?b:uuBOHT[B;KB>;[PPZ<figVs`Xt>>[JBNeR:=fiOS_[x=?B;KZJqa;Fjxhiov`\\OZ>>;KCN;DbYC>atNCB<<LZ<RZtl:@RYXkEqs><KJjQ=RZxX@=LZ<R:J_?<Q@>;K=J<B;KJNki:BOZ_Z;Zn<:N;Jd[B>\\Z>lEka;BnQKb;;\\;PPCJS;N=<GS>Jo:J:RO:Z;Ru<KnkKZ;P::J<\\JlksZ;Zn]H=[ZZ`?^?:G<U>BZNEfPq>;LZP?dD:hITI`ZZBb;<;<B:=jVKhZ:\\wlXC:^:\\l_rEQ<jBjK:<<g>U;><[<d<:[hInqw;CZb>d:?ni><JJ<N:=NQbI:reJJ>j:ZDE>hFB<\\@Z>J<\\Zb\\Y;Jd:E;=:c?:b<ZN=KB>;C^Q\\I=Jbi\\J=<>=ffLZl<b@>TlBZd;Z:jd::=jp?\\b]]:=f::Z>>[^]m;=:cAW@<;;GEBE:T>pBJ:cPRghC<^:gDNO:VYnXF;;KJ=><>J:@Zs\\V;;>u_wL:B;>_EkQh>ZKZ]:>>TCp<B><?N?:<WYbiu=L:KCN;DbYC>ZZ>b:@bhJY:jQ[ZBZ;:OPBVSJ>>G:CZ>>;K?y<ZN;P<@:LE:J?:c@\\JB<LBi>Y@ZJY?[@>B@RS_:_?JGBn^K:O=:;ZO;:@ZgE>KAA;@R;::CB<CAa=@:LItF><<TPJP:nBfKZ:LgjTWM>B;TObd:rxbwR<<\\Z@B>BZ:F:m?s<<BpEu_:J<BDQ\\iVC:]:A;BBnLf?JB>DbD:>txJYqA^:\\Lb<NJyLB:;CJ;FJW[x:Zi<;K:=:dfJrlZBBT:L:CB<\\Dx?:c<f>F:^P:ZD:LG>[J>^JXCxF:[xD<GBJFjlD;DEZTJbC]:d@:<:e<:F:UQB\\HH<Fj<::LJ>LHHAF:^XnSB>>nfZf:bKR]:;^T[ot`BJ<ndJO;jwKuk>>>;GJBJ:;R:`El?>JfQpE;Z>JNh>YsL:@;H<JJb_REZJBNJO:Bnw[xhIB;>_J?bZx_J:<LZ<RZt<w;:Y?<\\:@:NS[j_;KJn:^:LJ>>OvE:L?RCR:Bg::O:^tNAu?nimYmYa^UygyhilQuQqqpFuwwxWynvIiOYoXglVqiuiw]wwUXZL>^:?j:aw<NZwaw@oxZ>b:@:HW?\\JtuNAem?lsstvV`vctSsMSYuQqyuyuYWxjdxw><KJ<W^@j:uuBQpT\\L;LZJ>]Q@j:wahFgAI]?@rsyvYxm@HyAp]t?gTqvy`y_y_qOZyYZI^ajNkh?gMT:LJ=LKB\\x=LrsEM;L:;C>?b:uwv;gm?r?sDV=d@gxUkWrGV@IVvEvEsUbYWyOIU=wuCB<[BdAGZ;tQIhdMyF=b:CB<cdK;DbYGMMCWCm:mXCiyoytYuQ]Yoi\\qjQR;pixpe<?J=VNQB<cybgbowS:?B;LMg<NJyPt`qGpMViPQaUMIqNpy@YMi]mk]oylykykuTyXyXYiYGpXk<Q<jC=RZvndGweFZ<^:cdM;DbYGQMDWKw==F`]vmgrjqSxCy^qIXEd^SygyhYuvokDBYwE_sH]JZ<PlEJ;pY^arH<R:JGmLJ<wU`UWqvHhOu`txanMpSDiPB_y\\y\\MAdyVu_NysP]oX`;N:KB=SCB[x=StsEF;KJJ<NZETvtv:eQ?LpOiwieqoqtVUJr@w\\XkLARyTu_LysPMoXP;LZJ>]R?bZx]RpsEF[J>^:?j:@bia]bxn:o\\byfUguxOvbqsuvwvFjxpm_vteOZ>N]d>^Jy`n@p@hb:\\]I\\jGswAiVh]_@e;FJktMUW>;KJml:BE:=fK^xGtRQi;=CnigeCi;SDZ;tJEB;oi[gbo[G<[BB<PXDJ;>iV<>E:BE::::::::>E:BE::::::::>E:BE::::::::>E:BE::jrPxDYOMxnvdvcDswtxVYle]wQ]UkeRtQqUtWvHPQYwfaCLJ]HLJ<wAUvdhT<\\JB<LbEk:@RYQl<utn=my`y_yOMhsqtuvDYoYoYeusIusuvWXlGxPXAQGlvUeWohTlXtHUQoayqqwwuNxpW=iKq\\SYuX=iKq\\tN]RqHKJ>nSOZ<fimPwc_`>>[JBFGU:=fYSHrWr_QDrswvWxLABxssvSxnmY`Yeimi^kY\\yuIyIyayCaimqsUYxYYiqieryyQ;UZEBm[xsOGZuV<[JRdo:@RyLUYeoM<N:c[QB<cY=YCVAt[iydyTyOS=Gy=uCw[tJIDTkD;KB>Ku[;niuRWhkL@J;LJ>lR^<NJG\\fpfAO_j>w\\@i]fwNprC>\\Z>bZvp:@bYXmFY[B>\\Z>b:@ryfZ>NiaWbWfZ>NytndGwmC><[SP;DbieO[BB;L:F^>^ZtI^jaqn``;`gOXiEXuOpd<vZ`>b:@b[NZ<RBSf@=CJ;F:TU?\\JtqpPmqXXvHXYaYV_UyfeptYwixqxpm=DteMJ><KJ<S?\\JtuN<DJ<\\JB>`>@j:wa>nmQpkW?vVXhHIcQVrU?h;iZwnih_wtq[B?j:Fj\\iZ>brUTgKDZ;R:pLC<KniOdlX=ljThuutyZYjIlPZ]P@@b;NZ>^ZtwV=ZBB@?DJ;wA?rmQtkWCR]Ci]w^qCB=b:TNO<LbyRDYokMJ>>^Jah;FjxHwOngPAy>Ny`gtMAgB>\\Z>^JYaA>[J>^:Cj[b:pYB\\QidMu@j:_w^q[B?J=V^OB<cyBEYokS:?B;KBGuDJ;wUoU[qVGwSZwWPeIGob:CB<KBwWX:?B;<[jJZ:vryRfeXuIheWIZCB<\\kH=RZxMWhoPHKJ<N:=n?LJ<n\\NFq;WbvfxNYdMAbiIymi[dNo[@\\ZbT=RZwWoEyGke:Je<NJyKe<woYvL<y?yOxEl@HyrIy]yMyAQhXrtlK;LJ>Rb;FJycJsTMaBBrvEB;Txe]u>HLxIvItYbajsYpHQQeHK=MP@LJ><KJ<yu@j:uwn<N:G:TRB<KnYRZIYcAu>Lp?Ax\\QluUM;LJ>>gH@j:wuVPeTF[;NZ>>[N@^Z>tQ@jhAlshZlXiaiedwmUpsE>[JBNMU:=fi_Xs]XH?B;KB>Kgh;FJyTwORtyxmyeyauwWxHUB<[BB[HN=RZ@t<QMPDJ<B@YFZ;tIwrSITlIC>QBrUefMhCMh]qcuKiqmIYcewGK:go>^ZtQeOXcaG[J>^:?ndOZ<fiOQ_\\xa[>hsivQxn;oi[ijQnc`ymyoy^axMycAVb:T:pJD<KniKfLo[DLZ<R:@rraJ>LykIUuLtfQJQ`UlESlHy`YmaTwfXpHMMbywuxwxHuY]P:qMIpQtAWlUwgxp`xQq\\ujURlAy]ykI<tDxlJ<N:SREB;oYRERiwn:DJ<doP<LbYUWmyDeKxQsetofaUXuqnQtEunyyQ<qxblpExOx@qm]orlsoxtXUQDXrbUl:DJ<\\J`ELJ<wWPN><KJ<N:=VB:dOF=nuIQmyVYhYpEVgqUnEt?Es@YMi]mvPvOtobayfUpGqPCQueuoWpJtyJY\\Yj@p]EWB@:LxE<KnIyGaq<@J;B>KI<KBwWd[OC<sIuIuIQt:gYTIWagDPieekgrOfmSCy_rLSS^SchKibuvakysmesmvCmWtGw`OrHwf[KB>;KJxU:=nIyW`iL>J:=biEDeDrivisYS_WrGv@GwfGyPputXP]mYmisqtKVyowlxRYNsEuEqUP`WshvPHsepUoQoH=mytwvXx@lWMYKC<LZ<RZ]p<LJwAWwepHG:dKQ<P=uujoobAxlH]sIamov^VkinqrO\\mnvmqsuvw:yxFyguhwpHg:xelGs_Vam@xE^_j@blovSxfP_d:wpBZZ^Z>NI=R:?B;KJFD>D:qi?KV@mY=gCp;SausqOudUg^SIiQcRerxqdUmWCUrvqwuwwXyXy]wB=b:DY?lswtxVavsysymYLtSCApOtNZ<tQtVchN<\\ZZ>t<GZ;T[EtE=ElmH]sEqIhAacv]s^wsqsuvUBIAsquC[ubWkXRCw]kwD=vTCs[sCy[yjIdnWgKMBgEDrqxqwiWoiQaIlAs]cWSKxRmrc;tIgbSIRB;DZ;JMeJ>fcg`gsXvDxr<irwNxU_gkhbtwmvQeegoOpiJnqqquuW[cAu?x\\X?mpxmWOgiohx@\\PgkJ>^jVj:IdAg]OpqIHm[x_pa`K>wEhxNU:?B;KBgSDJ;wUmTjIHFsHUgcIwCxGxvCyRGdYMWcgfLGyay]tYwix]txZQxexGiIYxdYfoPyupwtXgbqho>BFm>^:]Hayb:uITsTgODZ;R:plB<KniOc\\xRpjsexOyTqMrpIQaamM=yKuYtYtYPUwpqjeTGLLZ<tI@j:uuIPTxiY>LyvqVXEb;NZ>BWCB;ouCAT^?r?uDW]d@kwmksrSfBqVMqhtWrvIyayeY=YuQE^;R:Hm>\\JtItVxM<dyb]UoPS:@J;LJgDLJ<wUMTbQmITP<\\YvETJtQ<aYGYkcXy>LWd<NJgc[aZtIT::f]`IeagmO`olPsdFgJxkaatIPvlnyTPtbq`;NZ]o\\J>wAWZh>tIpR:_j:g>`WRHXcqydXohPuShlyqvqtqSUpK<whDJ<dSM<LbyRMET;>G:U;b@Urv_wlWstCRXYhMYWN=IWeFJAX;CbxLKf<tIprOUo>>^:?n_NZ<fiEO[WWl[ohAHiqQsQanbOqC?n_N:uQ?pLbyR];:Rj[shAHyYfYcyboBwkt?MB>Ku^;nYdSohJtItrPWO@J;>[n`b:?niGc[X_x^shyvQY[mi\\inlhI\\bGo:@bybjQBwA?::VxHYaifqioyFY`IaorwcowK=fgrbMGi;tIorOUg>;CJ;FJQD;CJEMKWEx[mUjEr?DWZxqsqvUXOXYTWYN:=ngPJ<diNoeZx]G<:u=]YRGxROiB[xQiUqeU?YYdWY>;CngT:=fYcS_iBtItrOWO?B;KB>KU\\;FJyh^?tOsE`ausWXMARyewowtP]iaOiA=b:UU?[BtItNmUZwEGWgPECJ;F:TS>\\ZgF_ngjAHicinQphXXayWsgvpN?qaPq@?j:Wm?^:veZx]G<:jbAPIqQuawH=mIXybiW>BNeT:=fYPsB\\x]HH::SE`IWageP_gjOrDCWRwYdYTYOeVwYxIyOSw[owJ;n:uo:@Ryvf>@byN=BJ:bJAHqcunUtn;sIyIyayCIDA]EKEfXGwDCB<\\Si<NJyk`awJ<wAUFBB[@J^=maammmSTlvyHyGyWP]nAMq;=j:fyC>[niysfvWYcZxsenfyOZ>:ECB[xHubkMCV_XLISXwHykSjur\\@R[MJ<dY[]lwdKC\\x]HHJn:>fRx\\Y_ikhtfY_JwZW?^:?fjFZ;pijvpSqe_>tIq^^yqM>^:C:`K<LJwXt]]M<tLW]XKuNFyUrEv?Xvr\\n]=LZ<RZ@T;DZ[`mWpr>NyKAQJ<d?jLtjc\\sQ@kiAt><KNlNZ<tQlRSYtJ@RyLMQ;TCj^HVxqxqxqoTPYMlwXrL<NJ]o:@bRwsfh`;pin:::ssuswv_HJyrdqxpKB><om@j:uaOY\\byb]=>GZQ``FY[h>qZf[ny`WahMGcw>hROZ>B?ACB[x?AIH]W?=fYtD::lV;pyTYG_t=sb_;R:PV>\\JtQVVdJtItrLWO@J;LJ>LUd<NJGg[yrn^g;piF?tHVb:@b[OZahmpcfOhDQGCyUxQPwdWPdLbySydynaVGhPPASPyUyey^eqoqtU`xmHr@TM^tOrErELlAyMy]qjHPOEq[TPniThpkxHLZ<BOx<KBwevE]TeqCD[xooGYosM;W_?rIkYjYbHQVXwxVYXIurZAw]wcHuywAhUIVAgEPohmOtDUG_wIekgrOVayFx?SR]WkgrDCIHAhwaEQYwAwDWsTIeEA?ZJ>>=T:=fi?VKMENiF;oi;ern[D<cGL;IjAr=SI[oYMiSqcSPiUqeu^YeYay`MyiqUtQtQofm;wIoItAw:MFA]Ek]rFGbwarMsSFuyu]sXyIeIUIQSXSYfIh;ocMudQCCniXc_dxMDZ@ZO`\\J>weFePprnOw\\Ykincy>mtxjxH`_f`JNZgH\\rNxBY^Mh`QaemFedGo_PtqIprOgAQuewoWpeHx]yayBY^I`[^Gl?NycQjt_ZtivPXehFesS_aVxIyayErYc=GbtsT<Yc>KyL;tWKd:CZbok:@BsNe@QLXrItQvdyZYYGiPQaTkXYtab;NZM`ZHAa]ak^gxOydIopVQhEafehopPcxxywywaxw]WmgopSOpmqsuv^SyuGIfa?wUpamquiIo_>tqY__wa<^:<LRPR:=nqMUFPRZmwVIqcaKM]YBlUbEn?`QppWN<sTaN:=V^LJYqypypMyxh@mCxUlEs_Tl]ukwlPSmYsivMyYXeXOiTMhnQpUtvu?Ny\\?y?Ny\\_]oPb:@Z;REeB>hOg\\yBtjWTOntrAhu?mLS]NChR^`W><KJ<oM@RpPmwaXwmQ_alM]JtQJELOJyLBH_>ZJqa;Fjxhiov]_AkIqauawnYjhyhxXxWHdXnbUaZBB@mFJggluIWiIlIUZyYlIsasBdYrfuxJyCNAWGwU^;tQAirMiH=b:^li>^JylYWj`fxZyfyVySO]bygxHy`q^GVsR?[J>g;@bVYaYvsAxi@Y`XHlxxkwiwiwiUPhNIeZxmramtqiC`ZtqecFjxxumvrx_ZB>\\Z>bZO[;FjXIgK_n:qhUigQpiJnqoqtUWkfodU_ZBB@mGJguusyfyVySIWEuxmh:uEiiXquuwuXhqYGqxRQiViCPay?KBwesE;gua:`U;Djx`UyqNWdy`X]Npjsy`vHvGfcTnlk@\\Zb>=VpWYaYH@_GJwruiuMuetat^UfGoHDmemaeaaxw?SXmxnycr]BX]y>YHhYvoycykyrUS^WYAGGJyhl_w@cS:?B;LkL<LbYkL`tHqPUaWMpJtYyiyqYlJ;LJ>LWa<l?LySqmitYlIsatNedonPTlPrDTO^xwsEuMdQ`UYWmJlMtCuN_Xo`yr_hyIQYPYpLilnYnWpphewWDYUUOh]u><KJ>nJGZ;pqJosPq`pYmYay`fy:Oyiwypyggh`j>h<^Zdi_JygZxwHnvkqqqxyxYyIfpdiyCx^X@mxpaxq]AysTWgghtmYpHQaea^ehopPe]wfjiZtQiyqubia;NZ>B_SCB[x_sDZGFAwIyaymYtI[f=oGLctJkB=AF:=f@QBsUBwIwaweXoiiiVySbHcYhausGwfuymsesasnmtxWyaSiYwIHGtNYSliBtIRIaEiWn:^:sYQ;Dbie@cRB[yryrykSy[tXUYgih?]HagC<[JRTq:mu:uMW\\Q^Al=MQ;pQUHSy]xKyREvxr`bynuYwmrOvCPbUioDWf<fiOO_[x]>>;;CNQT:=figVSQGQIW;oileFKIF<[BlMCFKDbYvJCu_sxEaGm_sBmw?wsPuuQ;wmmDNqw>;CJ<Zp>[BRUKgvKykKCnYfqkX>KB>kFE[gyoytIsEmUlQd^esostVOxaerOsTFmEx=y[qibQx@KyMqSucGsExEwUVoGfuDm;wAuEw]XtyiKydrwCxkyqkwwuI[abMKtyicymcOawiUigqhxOyMgw^;taQvlWH;KZ:SQ?b:uuhOYIOWnOBwAg^ehE=b:aX<CUJoYhYXYWe@OwcoY`asSWdvixiwYgYCkwuAqt_ec_ucYWc]ygtOwdGskyrYsefO@]uqqeoiVSiVQgSHGI`Ae^kyqIyIyYxuvlayuowtWgioI?qS<cYYaTp]F:=b:^pICbYuQUxK]cR=fYcbdoHC;DRoSZQcekgBUrkyRyKyKQrJOhaYsiGh@QEcaWt]yi]sfwycySyMelAEAmEs]VhYSfYiiIiiyh]QBwuiLmx];R:?:[DJ;wU=UnIDFCUZwE;Kg`CCJdo:YKX=x<`u[MYplsMmSsdNwmqv]jrAm_usHHLY]MVIXAiMMpUXts]xkyqlqELvxSxMxMHqtqOJysPEQyim:D:[BT]GZxWkExE\\Mt@RY=>\\PF=vexUwQWtuwr]ueqU>ystXwhXUrawvaX^yUuQuQQQQHsihqpQuWpyAiQlIXymY>LyAmMs]NQerlHmwawD<jytysysmlqX=nIireuV<\\ZZBbu<:Ro@RweJxHxGxW^TKi\\qjMMtUvSQwSasq]sxuKuYLqanIXWuQsQmqLIqqlquxuIYYXYxLhvPXUhtXZxkShyOxTXEQsEtEpUNIyl@vHYQiamp=QalmrMnAqtGXoRqk=GZ<JdqNZ<tQio\\etfyo:uUGQqFPqQuLW]h^Gs_vlVPxl_vKw]UWy_Y[>asu_jnitQwewxvanwyvetGw_XtJN];xxfYpIq_yXpOfw;?]@XdvarYYvc`_Q?e[gjnyqyBxPkHPVrpWsmKwAXxmUG=j:DZTo_Z>tq`y>>_b?y<fi;?loVg`VouahEpjOagrNqUyn:wxFYymvmsasnQhtA[piuyVsivqv@^YynaIjAn]RpoLxaKA`uyvRg]yIgIWiTOxRYfIhxSQfwphM>weidifq_>b:@:OV<KBwerDKTMqwB[xocGVAbWqijQrESdr_urSYf=ufux:sCr=EiSgR?rQyixixHiFnqVXYGP]eTsXA=fiGXkaXW?B;<KNxOZ<tQxU=pNnARZxW<eLuyM=mTiAm?hkEEj?LyxiwdAqa]JsijPLUbdoo]sNtmmmssdXVljxtTN=RZxobEVnUk:DJ<\\JdINZ<tQYnHeTiin:uUoQKGtty@qQmQPTJEXyuUVOPxR=teLrWIpAqMe<tItRUEmQuUmesoDSVysWtlJyr\\eWkYLopUdEo_`JsQsNEoShMK<wUHUQUn\\<b;rR_B>KykCRq[yjKBwUhE[y=yExAHGcXKKw]QTuAYxsXVyHw]rKsRB[xokGwmD\\YvXcwfEVp?ClyswmwmUIyCxbmHmKxokGleCtoGJytZ?St?S:?B;Loe<NJyTqpPoMwS@RYundeviYwcynYpm@lqCXklemomtSMJwmYHQtYEXrIvAxnY]s^ENxelOmTCmsutwv`vpXuhUOwxWt<txDJ;Vydog>aZB>\\Z>dZ@j:weZnfEXmL>wUheva_JycvxdxatMwcO>weodtikpNubfoSQ`Ea_M`ybybyN\\\\YgPwq`nhQ?niOfOgkC@Z;NZ>nr`>^JykGPqKyZL>wUfeXabZxoygiyXxWxw^VxGuQobsyHyGyGixY;dK[H@=RZ@mLMMBDJ<\\JB\\l[<NJyl[puvXVD\\xGYocuxBpOw`xLIOaMvmHMtqnxtMuHOOes`evQhUpEu^QqeqoeMsj`k]HN<LJwURDDWR\\JB>bZ`];Fjx`]qqnWfdZxgTgbyI`X`goWyfgduyawIwIga=fa_alMOtZx]EPo?iiRyhVIhAW`[NgpNo=x[x>asormnmK`qririncPVefGpnpbiGiEYedo`DfugWk:@bYqlDW]aFZ<^ZB^k>?bZx]CVgeQ]O>wUHelA[niu;hypYuiwwS>gNiaPoqIQZyxvKyluo]>Yfaq\\V?h;ap`WogpP_ijibi[S\\edtAUGqu@=fdOB<cYOUG]wU>;CJ;FJUC;CbxoD_MgvuF?KyDydbwgHkUrXKMImWAYfdUvlqfLrZ]j=yRYdYnmrQyUvEx?IwxuYsYsYMytlkWPkO<kAyJhLpBQNceKP=U[ejnertUM;PqB<KniXc`lxMLZ<R:NcD>;eFEQTuoSC[xoWGSadWksXwHYss[sc:uEQ_WqYXccYpuGw?RykymAvuwuwqWaIxmEx?_cG?RWaB>KytgTFuYC;DZR<KBwefDITUqsB[PUMqXpkaUoSyspTNyDXnPJwEQoyQdAo]PQ[my`XmhMOaXLHPSZ=S;DZJ@jXoc:@Z;RugB>Kyputy?gKYCniRCmdUqSpOewar?yw`UwO?RySeJExyiURwGXaTEgvB;CnivrWIdCB<[BB[H>=RZwWBEFEmE@?RYMX;kbv[YVMgwasamQaqmsYUieqodWklyw]UluMe@uAiVrIxMTKZiy\\yLy@wsLn:uQ^EJ`\\qvAp=qKEutl<sFyNxywdYoipW`mqRMXghlb<NJylBxwJCBny<NZwgye?e?H\\B^xO?o<Avw?shimIxx=h[p>uZXtJwxdvxkwawoxxG\\ExowqxqxqgawqGs_vlR_\\i?hxqmQohIaqiHq`QmcQe@VdwarQ>`Qqeugg;wbOa[;PXCbx_IuuR`;R:LJG<LJ<wU<T>QKFDRZxo:EL@@w<mXiaySyVYhm@pxr]uS]sDyOy`ylYlPEqYXQqmWamXrlVDXNnmVeHvu]WWAV?=kelMhpqtQw^UlGmPkTxx<M[xTOAU:=niHhcQA?J>LsQ<<ytZGCw;DbYwWerfqusYVIgIpCYPYhXgdhoWYsIiCYCYSLYSywwrWvHoe;krxEDrYvl]yRggIGE^AekkimqKPYM\\]Swxs<\\ytYwixmxLNj\\KmxmaiQiIY`muAaTAtjcpj:@RYekt<w?DJ<\\JB\\tN=RZxocEvdltgEjxPV?DwmXQKupOuTWePwmXs]JDaq;`QumyvYVIhQPyvKTuwXu;xJXfy<anu>rAy\\aVihIqaOxAxavI^shwpXuTi[^_xg`\\J>wUGepWj`>b:@:?G;CJKMlgqWA=nixVwYpuuv]mjwLj`iwqxuXXWZDu\\=YhdpYHmgAv=xKHmvYxYxaPByjmquuuwg<raonSIqCQZ<fiMXoe_g>>[J>^jNh;Fjx_v>ior>j:sm_sSiimycvKxBAR=;DbyV`Uypyhygef;iZQbc=dIwf=[UjEr?SBsSYKCb`S[qFQGhK;gC?RvktayfycycEfysIsIsIMdYuytytoCDJistSCB[xomgXeXtqGJyTaoDsMYLgBtaiIieIqc[;tIugw]vKwRpmGgwca?BRACJ;eT=RZ`sZ<RZ=W;XwixqxDk?DjtXRsysxmxm`Nx<o>iq?XtwLP`lTqiYpYpYhumuOVuxwEX?]yyipPQUeMu]oi?Qf?wbVFh>Oh_ilQoxnyuQNZ=wmPfoc?bZTMMwKoCN=fYCGiAsTsDbYc[gyPyhxgdHArAyV<?ycqUbqw`WehMG`AFTEFJAT;CbxGf?<U>LkL<kIDmQhUp_vDX_h@c=Nif@sUi]JYvkWa?_ZiQopH`kY[;pwi>Z<i^hp_jhpU?bZxgqgyEP]w@bY_l^AiUI\\byjqqwXHkYwfWhhLy^=^rIYhXXxVVoOy[IYo?p\\B>[ni_bNp[N\\RHcZqjUngBOvLopB^wahmpsC[wkOWfAhmwvkACXgCp;uZCUieioqfvIcikBxwywywasiyiyiYtEYvE_yCwvKqeqmusEwq_yMiEykywYSYMyLaxEKc[miJ=cOic]QW=?WakgB=cSsyrOR[kgT=XSyYmyYyaBtqvQAYVSFN;wAIfV]ykKh?Exheioqt;OEiUu_sxkSDyOtDUG_WCUirI]ItwGuYyemFx=fM=sE?C^KBwWd:?RE]B\\EFSWsisivce_ucEQuX=y<yD`SWfGh@mwZSicqfUoFkauQawaKby]IIuHXsDmYeYaQayvdXohPoO`wIyYxYxXpyauUB\\jMuxruPSaVM`u`EXOTRvtLqivitYsMYFDRypTaprfhmO<waeNlXRYLJS=nIxOSUkRQnw@qo=WNtQkiNjiXQiUQ]RqTWYqRvlXhEm_m\\ughuagZigD^xWY`kYwhXqhOyS^^x_s>ytxyt:AZDo\\J>wEo_:XrM>]?@b>xxYgydydCqwuxwX`aqIqIisoVtXhZpAqfigUigqhchoQGIGCfkStfYBVyIdgDmCH[YEhsHXAY]Mx@yHxGHC?TQCrysSZycZwEoIu\\UcgKtpOv=;igoY<fxeHeOViVvwcF`MGigipQqnqHaG_[\\IhOycf@yWvd;frQfkMiy>ylfHumFtAHqlAoYxt@?]UHoiFxYQvE^vMocsf^wQbsOvR`oRom^xelxjoWtYVeqimiaiaXx_?ivoojH\\Z>dV@j:weVhnP@[NP^Jv]BpisYsYoVYYVMCyGv@WE`CufQyostVUFjwDReif;xAiv=GDpytXUqcioAdyVMuYtM>YvL\\rRhsIxOK]YZiOj@P]LWD=nYDLfUJUhkYyvf\\t@ywq]YSxLYMw?YYk]qitRjXUpEu_UXYeJNySrqodqQkEuo]qqlVY]K>aWgqWuhwPpYcMmSePsiYjhK;pURxWZYmSHNOMS:=ni`Ts\\X@@rFQJkPmv]UTlMmtwkInalQBdspINgUpGqPEuwiqkEQv]<qyQvQtq:aU\\@RVQkJTW@\\mumwsHwA@urPN\\mpTlV[tQx\\yAylqlwEyOk@jM]MT=nipTwLsfiS>tsfqlT`OfxrtlMkYqX]tfHYvxV>QuYTtwarkpsytyvaxwmvqxqwiwBmY\\yWCIxAyMYpygEmcxOkyu\\yWJaWiIXwayqAyuuL[xQvTvX\\wRhxIxNe`jqykx]h_olw?o]wyZyZy>cwoZw_wWAdAv];Ykqyuywy^IgIWiTOy>FmrIkUislPyTHmYFZrp^C^yW?bZxH[Bd[GJgBrytvovocIEsrFex[yF`uX\\YrMqXUiWQ_ykycy]SiCvpEcvebEWuOihRGtI?dXsEpMV@uIhiGFGEuGex[v@ybpACFCx?cc:wUhee?KyleyAiYnAeskcuqf]yY]yXjkiVeEn;hAyws]UgchKqRUcXxuvYuxtwt_ww[YD=AYvqeQiHnirYQhrYenCXFEHHiwqwuxcYIYsx?EBSc;mD^es<sydUggdm[ykitQiLqbQnDyyW\\kmEOhFhAi]q_kuadh^xrwZX>iZO`iaqmqnywp\\YkQ@iY_ka`r>yc>PiYxbDfvPA];p];bqMRJ;gJ?Rv=wCwv[wrF[YqQsiWT?SiGyHYaIw]gE]svwyhyXyWgJAGnefbCbrABYSHsIx[wYpGUh?y:cd?[yBKEpGxC;CnYvmoEaId`OChIxXWuIaWl]wMgboACdGh`CSvEUQsUTiruiXvaSvOUdKBb]ihqxUyWYsvjSGu]gjAsfoWsgNwDrylyxixUujRyOh`NBxOCLNbyjueM<pYOQKmxuxUy_TsgtpVuV`iQUH:CGmmvFISeIDyqGfeW>;CFwT:=fYsgqWfK;e^;DQ_CHqH=sEy=H]YUhAY>YUVMwbYehqXX?SkSIQggxwE;QV`GUvaGZyr]ACgUfO;Dbptq]Mgxr_TuSaku]sjqxU\\u]yXjlVNXNjxqciSiMw>lx;mWgMxRQqvelHxO:YV@yQPDLvlwrXvLQm?QU_DY<qy>AnYtpd<uteJH<QZAjHasu]UCPLeMr>YYXuxI]s:yUrEv?@wB<LbDS:=niDKXIVUYOJTo\\xb`QvX>rfG\\^Hkmf[S?jIHuqA[jo`<VtC^r__okVkYVoGwcQ>xQxexGy^glOodCo[y^yjwdm_kZadL>wA?jtNr`V^nhrfygpwku_yx_spVuUFriNju_yiIiaimQpikP]g_\\sH[nircocOnxqnurWvxp__ykyXsSifuIx?acNYqCVeFXfXHi`IchaqmqsxxjmPvDX_THiiYeEqk>NsM>\\bYsmxh^q\\C^r<Gcy^y[y[MyrGfcqIrkn\\tNkuuBhW>lJO<kILpkTTRtMXunutt\\YJe]QxQsFPsZPswxoM<wEHhdpd\\aaIXxwnqNQwa^qAa[iA_=XynWvN>wAgh@^xpX]QOf>idhG`ex]Y_jx`w_w_UhxEfmrwsF@hUviAYwtPvxausXH]eyEyEyUtQbHqDmWcA=GTACJ;gp?b:uUgQybiUGgB\\IXuCXi[YFarIeDfOvXUhWkXRIFCWY=SF>GuB[Dg;DQ?wAiIuwWxUxUwfWUd[kD]MulUsgSta]RUqBM;DbyBmUE?Yg\\mtvke>KdgkTqSU:wsPQFCGuEyIvIvIcfhKIa;tIOvF?wigsUkWrGfmEwxuI[sI<kYVYdyWwhWi`sIuImOQvp<qrMO:uqe]P>ywJ]wuIvItYrxQ:UYK<NJMo:@RYMOyXjqdSZTKkIu_MWMTjv]OfmLm@xkaYlUM;HXE\\rAptSpViYNVyqvivitSYdJ_UwY=RZxwYQWNTY@=LHHMrAyL`X`XSaYVPiYGiPQaSYDwPmXrumDIRZxM?Iuk<YUhu[tQxuraUUsuysxswmWt@wX]YH<o\\qLQMonYMbYpUypd@QHdY\\<RZMp:@RiaoZ<P^@rYxyvyv^ulWmXCuOAYmdYr^]oj]MqQrAaSvhk:eT>LV_dwmmsstNw]UNaTaiW>Xyr`LOit]TpQ?byVqKGlu_f;nahpiTHg@niMhcpFcy@rDxxXQavNuK?niNxfF]GWeSYn=VvKWimfas_^x`eTGf?h\\L@mOvk?v\\Eau\\gkOxnyfycIslVsfbiixqgupUunguC?FYgYkkxKwcv]fFqWukH;KBs[B>KyV;UpeFJGC>yHqyFY_YlMhlQseSCkqSEOuE[rmyc]YRYaX[qIPqYrqtqoiOogbcWU_GZ;tIoxf?cEAw]IXXGXoASvEtncuf[YP;v]Iu`Ix?UWWqH;oiheDEMdraGjUwgwh`wcNYmdQykijygqIxnH`rd`y]au\\YpD_yHardaxkaxMXqhQQOxjIuwSxUkWr`xsHxIpQtAwrTqcAU><KFDNZ<tIDZEWua>hCi^Q`^u_wkxrnH^xn]evf`nqwwv?Wl@_m?XYgxPYelaIYQ_D__L`tUGh;pqryu:@er__hVnYhg[FtRHjiXg:xmbp^Jy\\yo]GXq?AeNq`Pq_Sh_Zyr^?bvfw`_]IHsEqwWxi\\Ikann_AhIayrxsNvr]>df@j:CeIgooBD[VmGxEeGo_t^?bMgGfuHWyHXiC^AH^oDC[RrwcEiR]IHDWDaeR]QxGAeKOXCmYLoIIGIvMVkcGUAv<Cx?ETfkVQgUT[IkaeEwvFwbo]UGMDaqVMqH;oiceDGMtSYyReSyTwfXlxLKiMoeXS\\QtvAmwxkCTjK]WwaO@xvXHyK=seUl:Ay>\\JtIxSUQLes>LvIXweqUqQqcty:trDWfP?s@?ngNZk@LwxXYYIEyuAxDwTvOflWC;ec]oI<cyZQsk?bR]UDuIW=cIWS>wutqtqoh\\EFKEbx=xmAghsgFwsGCHuuIWYflqRKkwakBtAy<]Gxuu\\QG;?iO;FP]wqOfweUHAFwaFjch:?RiasZ;H;=vrYvIwS`OeGwcuQs\\QdtAiVos@=fgOBSiFsYwiwixafjuIamsV_veyUyQYeAW>KyveFI?L`HmrAQqPvL]vYyiiYxo^emiq?NyTx\\jvfqYvm`bFukIu\\MiSWyR_Ir?y\\YcmmhVYiuar:ueWYTYswUEPglWiPY;YKX=vXHicVikFjlgZ>NylgyWfq\\NZkGujausXhMh^Q`elOtYntRGrxqwuxwh@cIgh=@bo_ZX^ijIr^wswvxVP`Ry]p?u[GsioimYmdahp_jwF\\byfAiqhQqeQtU_`PpetGwcwtZFkaGrqFxLOySihxIpA@bYyoNWxpYmg^uAYtVnhXIiaIj`^\\`nZtawYxmvOXGYJoR>=f_OB<cYEUCi=uyADBwI\\GXiQu>yWAYvIwvCwFX?IJyEImh>Ku`;XaieqmfqQuIexVovRGcG?HQavG=fYOitGx?osqsisXPxdK^LRv]mylP;pus<xIys_DX_@v@UMg]P_ylYEXS`YvmQcyXwQlf<rYyYyiycIJhLa?GguhgxQxFIq@?ncOZ<fiMQ_d_awG[Fa\\^YvL>aUFZ<VjC^b:Wmh>uIXykgc=hkZvye`ZtqemXcifqnFulWsgvfVHkQNvavmaofbYxyqwofyOFxrirSPrwqwuxwXpZnImp`_Jy]m_skFcVYnYhuL?iuiwqxcsQp=w[w^`wxrxnxWhwaoqsqvmijVWtIOb]Yo?@j:weEP`cafKOZK^v]qmnHkmNxUvgvHhLBuLJ>LkKVkyfqwiwiwmnYqPV`picEnx<fiLpuXGxgTYQSPCU^EdCeHyEtEoUN_i_iGiES\\qDGSunQB<cimWV`CbBsxacenMTTKhakY@GU\\Ec_KtyqHOitJEuF_ykwrXSexoGhIeYeYoitMwbYkYrMt[Qvq=IeUYMiSqcSXMyLydHAymaeaaIaCiaqeu]DH?B;Od?[ZhjAYNJtkHHmd<sAivpqyRdkapJHPtHEjApMtOpQqeugctAZTVovv`_>uqHaJybGVvEOmcp\\oQki^hvf[^xyYYi;pqyWopxwSVlMF`uvAYYqQeQai`Ci\\Qcexk;YUpEepomZF\\[xapyifIpAQdx@qGO_Pi[Dx_BNvpVrOodSgnMqevoflH\\Z>dYFZ;pqxfpLYt;^Z\\ykL__dw`kykX@^y>Z`xlJ>]<?^<hyNwkwXkZwiGi`Qa[KQhsy_gWfZxa^Al=OtAoeG_iigkUi_h>qZQj^qoupwdvqjf`eIj:wemPjO?nuxpWqhUapmpxSinoYgghpPOyuO]IXsUQieuHug]yxnkywQieqgUognwEmGxiCYCYSLWEh=i[OB]St?KB>KxB;CnIYn_wUUG;WDH=I[MsZsYiiiqhtr\\XP@RM`J`XKpyurqrqLWu\\sp`JtyUyQyQIw_exEtOv@x^xxPAmGxq_qlUMWUUrd\\XV=niPROLwUyjr`NyMoSUiTp^ewowdf=h;qBCYhXgxf_XPmYkirQsSyucYsYvIxtqCTusC;DBeB>KYaKR]aB\\qIk_wIcTpSYNsdZGClicech;ctR=F<gy>YYfYFbkr<_SoUuToEbYvDKcrOd\\Mvf]yEwUvQv^igieYeMDo_hGsGZ;tIsWbgb^cyfWhMqSucSs?Ic]yHsr_=ykUC\\]udSDqQtugwJIU==fxQB<cYwYWb]ByySZkwSSemsVHusAosrqDtatMuS_]R:?R?eBhOidQgCuEvsetataoFkebGeUpof@KyBKxkawrIc;mYogtPUSHyIyayt_daoHwaDbYWMMgTaXnkuAuFXQEMSCQmrQGgSiiniPRdM_<RZMU;DZMXnKNZu^wjXr^@^Ywn:?tBP^R^Z;H^>Nf;pnRG`sXavnbR`o=iyoicE^xMisByrmGpIiAsXBOGuEwFMB<tvAAo>LvXUyQqqpipMpqVXusuvWhe`_dbQu_>`@GZ;piF@uHfdv@bvNghGp?q\\eIy]f\\QPlSA[J>oa@r?y\\YStAtsihigYgOt=GWD=fYoW@mI`UxxQyQyiPMi@cSbae:uu>OGPUYFsxWyXYadqIuAiFtiVgGbKsTKmGj?r<CslUsgsH_ySVEWSsh]Eio;fTyvPouOWGZ;tQWwiAw=KC>QwoygveveSYx;yAQbikem]IZ;gQGDb?d:]bAyXvWvWcIywue]gkoR_uEmuTqARyyby[y[MsEUw?CykqyL=CnYvoqWmItd_DfyYtYtYoFUeWogTlGu`Ue_CXO;Tqys`WehMevswsusEuyP;uB;DRoU:yWBWh]oX<srWsXVusAcyrwIfarMsSfgur[XR?B;Ge?KvxQyrwUuWyl[yr]iLetpOi@KAIFtMvwKxK[vYkYrIvdGHqkiyKBwUvE]UsGB@=hYOwL]ykmsRyrgqTk?dkaXUIUaeeOoiAeGy_ylqVdYGqmBcATO]B>Kyd_T<uI`eDBWs;qFHQsAYx^iW>;CnSUZugwoxT_HUuU_WYeYwR;w]qH@Gc;mIhOcJ[vEYyWMDbYsmwWuIdiyiyqycSbwyxywywIdMaVI?ExWwhWi`_IPibQkUR_gyoytxLv@v?lVdyRXeKA<oe@j:uUQQso`oYIxAenuYra]sDymxMyciOM=PVMJgiLr]xKyRMhUpEu_xvw=vexUwQW_<RdaLbyKx<yZaV;iJQ\\wk]L^YOkMM_LJwePdAt`qUFeLfyLW]XKavbYnIpMSTsCuNW`lxxMWiYqiumlM]TmcxYtYtYpmf\\pJQRhIoYDU?]PVuR;DjxpkOUWSumq`ulUsXxKYpV_YUpMJRlO;pO;hqqquuxvwAv_tOsESLtlHxlsht[<tAiLGDpHDRqyL]HXuTRVqtZUo@@j:O]os\\CSa[S`kIhqWUgWpGECQrsey@KyRGgyEwEuUTIecwegYC:cX^;t`CB;oiGethGuRUvsOxk<ufYJbHUsQmO<TqEKF@SZyLy@iCwkrXkIfj_ggOw[nY]f?p;wcJxihYhYXmV?h;iZ_GhsnwnNZ=pZtYcifQMvSQvkOSr]yw_ixQyeIEM;G>=FXyTQMUcefXwxIgwpWuh?dpWh@MyG[xSqyaamV`pylTwxOn`KTTos@j:uUmQJpdpuybpAuXxaZVgghpPWdAPgV_ZB^[b>\\ExpowsrvrficSVeOWZw_uUPayaymyxRfrOn[pPgD^[T>wIyayaynpreioqpeLvdf`loAykPgdPwOG\\<VqiqquwsuAcFopVoisiv?_`W`vG^xk@[l@bY?[wpbT^^Z>tq>oRhcSNsEyexeayCA]I]_t@=b:Cbc_BxuxuwuoaiY]r<IS]qudoDbyYyYyYyFU_WlGSIWsHYIiaevkxRYV]qfk]iVKB=oBtAiTQR:Is;cWQIb>KV;asomlHusuQsexUwGsGy`YaaJWiSYk>Ny[@yv@m:O_Z>tuF\\dV^JvupqhintNvlsgmkorSflcymH@\\Z>dGGjBNoupwttsAfssuvUx_CxrUskeWOMCnIuAWvhYGQKvL_WUex?kBG[xQ_Ul`xVyqhQqeQoy<Sw\\ow@rcunWpPcIKStrVTXFAr]QsU<wmXOL]UluQjDqQlPJ=RZxWZETeAQ^XOi`qLiNpiXf\\mxTLb@l:]QuDqu<s@inSXvRQoL<w]ql=pwkywmxsxDs]tkvLPHLJAAO:=VJARyixixYwdouelXdvR=JApNd\\OjAv=xK`TYfIpAusuicp@u\\?nXvxU>w]Gnx@ekwiHamsFwkwnu_sWAbW@x\\NZov\\J>weoe:q^nwaxHugqyJN]YqyTA[J>>KFjYdY_y^wvwaFXStpKwg_w:uYvIxAyFkeT<mxxKEEou?Qr;ohtECFKDbyctKwboSWiBVOYOYiCciGgdaYiiSrIgrSSVgqcYkyjybwuCiyRyKqnaMXhWutwvfnuigtHw`HwkVvKVipNZ>ny[>`uygJF_<V^N>iSYsXotmIvunujhg>>[J>]@?f\\iioysyoymyjcogPytPH]bytYwIwvw[HhOTjgtM=Fi=fIWuNQhiCXh]ikqrtmCTugeuFJshrcelMscCsSwVXGevQwQuiDmtVUXGISQ?vAIYsqdq_i_Mskgrg_dEsGv?Xl_xLYSawIkSwXSyAyyYMWcgfLgFQ_UlMtI]yq?YGuI;yip=ft[SZ?B;Cbx?B>eSFkFJiE`yTXEY_axIWbG?B;KB?=C>yBGyvwsottMntRSLwEAKnIpjiUf@WXiYoUt_ulWmT>dmpLSL<cJyfqQ\\uP]]`n<h`rApKNuy?x=x]^xmEQfGpjQnqjijCYtYpyna^xVo_wlvxhyxxFgxyytXWigavPYeigm^`lgPdyXshVq^vgvWvUVtSvxrgivYxUnujqjnQdxIoxOvyhgyhypi[Pw`nNZ=X[BrZqXXEI>?Rq=eIwC=qH<[BBdj:]YB]sx\\W@=rYdrplw:uQkEvu@]AuYsE?AtTeu`]Y;MDEch@awZQDE]GkCwakywQBE[GJ_UuewogbrcvG[xSQwpqVaYC[yWWUFkmy>iYcIX_]vauIuIunayXEX?iDMyvHyxUKumWSZyhSqVU_Fxst?UIMsgv_ySysxmt]UEQ_vAYwXgyfyVaCxNMdrkVvYxdUggodxECUshFcsnYxnwfwcGwgrBQfregucVG;Y@CB;ouc\\w<TmimaHyZfGfx_wvq[B?noOZ]p[oYvF^xAf]n?dIaovYaYIyHqtOYhVWZHXy=X^b_r\\WjkAaOA[dFuIqlUogS`ooptTgjhp_Yx`JyrO?_PwpYvtSAdIYvFcpiDP=U[CUoetOufv_SxMiSuxRgRIQRuyby[y[aHFurfYynuU`cSV=HiYYYYyXuBjQvEwGHuYaOVKciriIDqgnKc]]ryWwxiIU?yyYVyyDw?w?mGwwgaIwbwt][DJ;wA=ceGwCQB<aimOb:Cbl[B\\IIfYfTGgYsTZwkG\\Xy=vxPydYoEAnfeskTpS<xUqWu^l]oqdQoePtt_vS?Zfo^vpi=fiVOZw@t<W[oowwbhuuTWTlMs;orsMEEGCYWYhIicaCsQvEwGX_CTKuYEyDyT`GftKRuiiqquuSVbueGeIugF^SYIQcIyYMeWKywvsx@yrw;ySiIqqVdyVeObyquPCB;TUddU;HXpujsAqqPs@=j:DjkMKnusNyr_dm?eW]AKniu[mQhTSGHuSUubeJxeyeyUaxl:tykyky]mlARK\\nm@plmtSuVGduSpY=dYP\\lpLubUnnmnmycnyn[xkgHjdW[Fg\\TylYoICmdFwuonwNriq[u^wJ`gwhxPia[haHymUpGLL:XpIqQuxnIxorerelNWToYyrPiVW\\qbQnEPlGmPSaNSeYoitMIpYiYqiu]DwupRC\\tC=RZxoMepd]uQEVxpr?YtoMJGLLRdRbxM_=nylwrXvLHY`ImaXx[hudlxOQQStovPxDqSgMvXPyRhMGhltXNvdUqeuoEqtTui=nIqoV<xRPqV]qOpuslt:AmutXhMYIUY>ltrxpvEq_wl^i[gYxHYaiOxdydyPaw`axnqjIygygyCyEyEyULWUhEi_CcaurQgh?aFHuxOijrPvDpSQMx@LyfijaammmSTqnuEwEQodXvPES:=niPToLMTylGqPUaomqRhmVxHn?mPfLJoLLbLQNykd<taUkAeVY\\j]qp;TUoaJ\\QLriKq\\ujdqIqYehopPSlXx[twFIVyHjxTqqmqbhrrQoaLuFqMwDx>YLwDnwlTHxkJqMQxrAYxUyVUePxTyiYt?pxrxnw`sJqQUet`XKoYj@LyfQSODjxmPsuywhK<LZp^ds`rkN[mi^\\YanFZ<VtD^wtXwhhmI>t=qexwaD@bYhaTI_uA\\YvsVvpOYbZyvyvysOihgrfgyvYxIyuqacwag;paPV\\uOwMwmTI[ywirYrYNw;Nt\\pe@acu_ZNAqahaUHgYohSifAN[gYahAq]O\\qapqwsnxdw^pIqddAqofnuYkExuwqwqGcpouqYy?>ucxnXPmhH^KvaKqlefd`WdqyuUA^Z>tqHnDi^GH`x^i^wgVqf`YcdNj=Q\\Z>tQ?oy^wjXr@nldNaJycVHmq@yWAr_H__ijkVjXvxrqompstFqhF[HQjGahqY`aW`LX]iKwPNZMoa]YQPPZqlW\\PhEYBhjJTNnxrM@L\\mnw=lJqMMlMUiWqhUtPtu]O<uXyiyqyNymymymMQqPEY`hYRQXaupF`VYxKy<x;xK^QqQlyrYvInwYVkqirTN\\[qf]>tpGZ;pqgyf:Ak@y]mHcWyu<qkbA`Th^:?j:Ad<FxFivfiqdnwQw]^W_l>tI_[myqyiyiyZcQlQad:?^UHoIXscx\\U_gk`xsvukGqnahqqtaGjwnfZvnTauuvaxPn`Gnwn\\oWkOXvQfenGt^nmyouwqiKys_NxMgjpAidOrnW[gnki_j_q]cOfbx[EyZX>iZxoHgfQw_oipmhmB^p>?bZxgCGnAIaFAqY@puy[W_iBGpK>^:?nDPZk@gNwxuitKybYfmuXm?gZtGfxv`wgnY?\\e`vAivLIplxhf`_XhsRyujWrGVdpYiphdmYpJ^vXIy\\OsXnma`mlkEAr]\\pIImmtVZAtxQoQeqddom]snxRjdLTyViHt>ATyYlY`y^mxQdywuKqqsqir^unP>\\bYeP?xk_[qIaIIiHwv=NhvHfUA[JBNEUZkw?ms<eYFaf`iuD?CnIu_]fSuIFasaig<exqys`]w][RHuh_Uy>IYjCxLYY;oIyecaWCgYGh?qxxL[XkT]rFUyNEnwlTIxpGlOjDPNyr<DjkapB@yleVdxmruYX=V;hJVYQy<QsxTp\\T:=ni=W[UsTlTVyPRhYZdyTytxpTPuPVtl:DJ<Dq>LqauRQUUgepVuoWlPJYKmIqrXWuXXFaoauYYtsvTxFIWAILqqVAqYkmSpuWPupY`SPTOAyrOhOkUm<=m@aSu]u\\ALexraIKgIxb=srMk>qpUqWUpoy=LQmwVIYaimWxRxhxmMtw\\yjYrCyXyXyWqYpepIul:mpp]RpYqKdXUiWqhuL_aFgxMvdu@QwXDCDbiDJ;wWGD?GCnuG<whhQieqDPqg@?CJ;FjkC;whvgvgce:ixgwWwtuA`M`<tI]KmqThtwUhqPXQXeXOiTWXXflT;ykaitAQJeeuUmPeEmWXKkypolTEysPexhUusLx^YlImn[hQVPr`lL[XkS]uaxQwIwspMqql?pxR=khUtGuPGMV?hxBdwk@LWYRIdQn\\xsaplQsetnohUyeyoyjhUogeKF]KoyPXAY]UuB\\kQ@rJMJ<FnraqrV\\bq[mIxAfs@?j:FjtN[nw_tgxwxwwwoiH^FN]byksnvRpmEqiUq\\NQy<igZqckwoj_s<vwjXrHfmtymkorSfmKpr]Yq\\IipIupYsYoylfuiNbb_qhHkeXuA?gIx_qp^@pxR?khGv?x\\hYylAyBfwu`wldhoEYkUSaSu]uM@kJqQMIwRTpDIufTXvdP]axMySIurMysIAnELXpDwQYNX@MJiqXHSvmonHLZ<tY@j^itYXlwpVK<kE]TmxP\\uxGYQW=KJ<oe@RFQu_uw_EplhXyTuZHjxlVbUp]EKmiyBuPiumY]y\\yLwTwq\\RreUlEs_Tla]Q]IMcYXfYvxLvfqm[YQhAq]pt:DUbuko\\Jx]x]NcaOuQPedGonG^tHb<WiVYtXbgIxuSEIQFYsRbuec?BWYwAcxmOBxarwMvsWxguutWRwmuUueTqWa]ygqDJ;oupy?`kxQnEpOdaYZDytytypUBUmTDN:=j:Eetx\\dOwaIynYj>Nyhy[yqm>NdPgneHhVAmkxkSavrx`rOoYhgpHu`fegvyIwitYdoNavVbiN^bxmvOXMit]Yq=WIWYTYx>oxGyHYaIwOb[[IxYvyky]ceWuiwqxUYtuMuAeIMqIBKxlSsfStqiT>St?gyqyquyJs\\X]qUMiMdyPXAiGX]YHZK>]?@j:waDftPhpcIimi_e>q[Q\\bGj:ohy^gvxqGqpLhhXAbyQpQhqfXx[yiQieqgg;pn[n`C?^<PyVIqmWtEOs]G\\t@qqxa<fwlYsivme^t@awtYoYgyda^x@pBxrwhyoyoygc\\Q_>PavGhKieIAqYxaua]nIxIxivFuxWygYayamWOcYVvTHwapg]o]oIyVveZgf`xguWuUqbw?agY\\bhq:@bYWyLnlu>jhidgYfKW\\UFZ<^ZT@^jgxOydqoaJoaiIiIYmk?csOZw_i:ysx>oxpxoxogOZOH`n>dZOqJq]EFt_IqV`a`Oum@tXV`gIebwk?@wT@powjsiipIuaX`^@efA`mOxSAgjPcqwjtymxaXANkQO<dOK<LbYUL=wK]Kmaqmqseay;QkqlUUDJ<\\JT`NJiqdiyFuk[awq<tAQV`eu[=wXYYiiWLtlk`tF=nu\\pywvxvlf>qZQjcacuouJq]EHr?aonarSpx``jpIwDQaW?mIhyifqnQtHywtQoepoTWpmVnTfugqiN@o?qleHdMfqbpo:@BuhpcdiIUqQRrediagHKDZ;RZ=B;gTPEU_cyZmiRQVEgSuQwxUBwYxYwqWxKsYLYHPx<RQaq>@rfPJYyyxyxMYYTYvE<yR]jhEk_llBuMsqLEDdmVtXFnwnWYvpEdREIxqeumwCuwcucSsxpkWmcbsas]ke[oeSsi[iCi=W]StJYVhqY<OTVEDdUF:=VdEB;ouSGHJ?RqawvyTyOyOIbTAx\\<;@rsxvXXusATxdufdYyDjxlLQYsx\\uyHyGyWhPyjhxipR<trXTYfanJqMmdwSYXeYyGlwiHYGYW`djpAqiYqgHnwMqM=NPmvIaSuxOmxmduyQxqvivWhYIIQaamTdmOetcQWf\\kQHYAQNFqP<\\J`TKB\\xHQk;`JtxTbmMbHJiLN:=j:eS>lVUhnYhOJyr<xTSyJLiLQ]UkpN]ptGQOC\\V[hQx@VDHmpAY^hujDnwUkglpBuVTYvpxK[hqyQSaIKmItdiSqduNIyWykqILUAV<lLYmMFisePu]<NJypapdUFgqawvacqilPnh:g[K>^:CK=VpWGLoVE[xk?gXmx;_HPSumGDROSZAe]mcCuTIwE`[hAQFnUIgahMMiJceJqUfIYpOrDSGnmYIwuoqgqexWAyKuRWctseuSuVWgtqYwfAyIEBIOhmmHJ;eS=RZwX@_vP;HuseU_sE;CJ;gs?Rf[Wocuw_xmcBtyWvUvUkGowgsewEOwx]G<uX\\IcakFy[y[yCMyrwgGj?r<CSFAy@iyRIYhscIQRuqhUqWUoI]gyKwRXCShQieqgnIEgqhKIC>WYvwB^ICmIUimvWwXXqsuAr]ycykItoSp;i_qwEuw]YSPUE;KByaDJ;wWgCs_BHaImasSuwacsOAfWGCJ;FJUB;owSMy=wCx;iawrmcBtAU>_G<=bEptZ@s?\\XkLRuIKa\\mJpjpAUslQ<UyLXShDmfTqfQpspL[XkjAqmqsutNUiWq^xSfwKNuiqquqwnG^tVessZwsEwifQhELwyputUwOLP:XPHAQ]dWmlmH=LyYYUiWqhLLqWOXMCqonMkChNUDJ<LJwXXZ=R;hMq]ukXxA\\V:qNv`k:DJ<dpN<shdmyExExUVyTZxwX=KIQjRepfDyNhmhqKgIuFUyjHnwTmcuLTYmmmmF]MC]YsTl?LtMuSwdXbIj`UO:yrDLyuxwxXyJiwOIn;@U>HQm\\YUYuXqTApOeYN;HpB<m[xMETXmmKLhqKprfIjG@:oHC[yuyiyYYaYr^icqkuRIEtaTm[xqsuvUXauuOwTXEiG]SG?Ee]bpYvIwQlMsctn^XPgYxIyQyMQMo\\\\XwqgtrAuiipihigO\\Y_jyPwOwoDw_IxinItAWtSpxR?kHqthFjrwsBqsWxfvVvSFqAvmGAsyfxcxC?ySwVXGYLqx\\ID>GhRqVVqhKsvcmxMgu@ItnWUk[GJwduatkQbP;CB[xg;GlET=]cAeG_uW^oe[_UNOgp=CJ;gE?rwuxWytsuCfqY`KxNEbxUhGqHmAidOcQkxuuuu`xXpxmxsxTQWEQxEt?uLGumMqmq\\pypwouoEuL\\XulUsgTtOXviyawIwwfwIvavAh?iZnwgVQZYiyhuHYy<IsaseVWwjIMsiopPuddYv@vpYuiumXxXkyqkijKuxI]YC`phQqeqnAQWTqtwaWtiqpQueHW=YPXLJ=DKntwqdYZlJiLwA=NhTPGxQHDXI=nG@J;BD[iZiBi;SYyBQWUhEiHAxaOCnIHemDuIeWwGqaGCQRu]ghky\\wDw?GSWHamStStXguq]uiaWumDTyUkQcQ]f[gy;wBX;SaMu?oxlUwUur]wr]sB]aiUqVUgWtQwxmhpETp?hXyuxqxqoiXudgWyKarSOyraETgyhQyW[weaXjWT=iB>Ky@wDr?g[ir<_IStsrxONqR:@J;pPD\\yryrylwvxLxqvqtqCEK`lJt?aIawwQ`XFb`W]g@bFQi@acu_jpAmcw]n^piIpAq]cakaarJqui?jTfwbfpXa\\;@mCwsXy]hiqqquSwjOvvoox?>bvNkjqmuowShxoFp=ivQxeX`gwhxPIcfNrQapSPyhYicysyvyvqqv^w>?nCQZ<fiMtP;IpwYwytyewvIBtitioYO=VEQe\\;R:?Rw]B\\edkaw=Ay@UEg]tM;w];uAqdGArSgeikfhGXySykurWsdhoEYShOGHMqiBQFE_fQwrAii>iyHQhAQuiSihQqnQL_AqYhykxrXTS\\<T?=RLLuEHoOpT`uLBqw?xkmqPPAWRhWuasamQMpm]YjXXnkin\\uxd=yGEqapQuiqYeWoht`UNnyuC\\PX=RZxWvEkEHMZ]OfYvlUy\\]OoPR:@RwhJ\\mLrluIttSuVWpm:uqxQyeyn;DtfaYxQy@aOUyxyxywaNhYOHhRbQvlQvrQV^lmMqui=VIhy\\\\piqpUqWciQ@ILTYvSxuKUlrxnWqRZPO<Du]]K]eoGHmpxOxExEhmmyyixYwYw:euIHmtAqvxQUHoiMSZxwxPLdlq^DpK<Wm@ZxhsOywm_wWY[;giaYaYIwmidpW^:?j:W`?n_t@w\\psA`wRHpYAf=h[LyiHXccweyQYIwyyxV_vCihIGepIc[gYkgrPSG^[hAyucCfwGeywWG]EOYtYoynaxwMVUiWqgep=YkAgEawEagR=Wk=ugkYyQfw?YIQWDqdgwCJshDAuB[hS:F`=IlwIdChZ@`g>>[J>gm@bFAi_wwCH\\^v`VAh=axYXvkGdSQrOggwobl_j@XfIhapFmuvhhOaMq]IptD@tXRnpsnxq`iPiHSXeydyTaXPgySvDx>MLPIpJdmG@RWiJt?wy?y=y]`xqmvpVQhEG^=ikEYyUp\\bYfwXkfii_?tUO\\DFrOA[;Pl?^ZtQlE>dAXryHvGvgBwujVv=GmG@Z;B;_FSeYoitMyx?ieqmusciVgX\\=UwivisYSAU`WFI_IlcY@UYq=WIwRxgvGcwkyh_udWmXCuDhQcOWvYKYbIfnIdiMRuUVIeE=SyyMBecgnOTtqeKsct[ehUIoatMUtwmwrWvHORVQeR;w]EHFawwwHPsCnGDbUg:?RYqtDyvRsXv=vDwHFAU>?s@=ZB^ym>tA?mIhbPQq=fiMn_qxkJq]ERawexMYtOXv]UTQEYMw`IU>oGFMFnwr<PpJqMqIJAaSu]Qsdr@=nGPJQ>x<qsuirAqapIpSWZwGd@gcF^x[WlWohyhupWuOfb_h]<fpM>\\bYgQOpkyhrVmCPkEWmf_ZBBB[FCqUuNy[`iGi`QawvnphV[oYihIqag_BPfG_lcPbuwxmnmuIqFoaXPjLFnwnqVAkAGyCfwo@_ypcP`^jIoIgidX\\byfTwx[Vm[xmioqsQtUwdtIyW_kwoyvyvyvcsNp`pZtiopPudfpCxsdp`<R?[BtqhPmiIIXYIYaieWwI\\kTKcwMcsh]BB[HX=vIsYrYrnwEjWvlIxd_WMebpAivkYR?tXSvE?LhtkqTtXelDUwAeM>lmvMxCqsuqRfPQyTtPhJtAUrtOhewSIXAiMaeyChTmynumSwirQtUVAqu=w=yOUUWZLRwYJI\\QJujMARYDKNlOZ<tQlSTao@TvITRpioj]ue`V]<R:@J;`NsPwdXo`hKnYtGW]?XevnwgAw]xkHwdIxagapMQtEYvQBV=HCYETYvkuWkAYLAUgKIPCfEgGx[EEcw]?gToHUQGjItIoYnWxxGXWiXQixO;wAcyLaGXyC\\YxU]shyXIAxYqXUiWGOvIgxD]uAuubOdT[s:KB<cy:;WgMYC]gf[ewGTXcXNITgMEtGhL;F:=VTEbEqGu_WDARYgIUoiBMiREIxKRu]YcOEesrAYYlaesSXLyvnwxuEEh]wqcUbucaahUACJ;Eg?RqaoriYVhWOmxfmjx=taqraulRyrwhvkpLL]slyr\\\\YG]ywuUtEw_XtqQrRUo=qRZh[>NypndwvrRXpaO_AyZAW];N:VdZi^iFiCan:gyFyfxVhZNnRHgIxr<pmjOrCfmJq]EFl@QbnWj>pxrAxXhsnxarAv=Hw<_hpNZ>NsM>k?>xlxu_Y]i_qkotH`[U>wmXcKy]u_wkHeIhdqi]lX_JNvmVoG@bU:jkaKZAy=\\LIXNlHLZ<R:viD^owpxTYl<qxOxdXGagFdFapQF\\Tyurqrqn^kakpGnWIuB?nXNZQ_ekgbaiq\\YrYnyjweWps<fIqsM]wnEw_wdpKxXGyc_IxWyWywp]YwEYs;wSSvoeXP;DbYwVeik[xwkwa_c:ui>QlRTrKaM<@J;LJoILRuXWiXadJtysymymIw_HxkIVvlwauk?yvPlUrEvVYPgIUbuk?Dp\\evrAqIpP`MuYdYnIttAJcIO;LJc@RvmjDqwauwQ`v^YlImSYULe`uAyypYYiYYpuwvmXo<RyxoeypYeTVyWhaushmqQv`luL=T?UXwMoP@j:OeoAoVwg>NyDil>wjB>\\bFeZntPFkJqyfxfwV_QivjY\\ifmyWtUpuN`wxXyhIcVYvTV_AY[gi^Qnt[I[F@bZgtOwdgaqI_i\\Y\\Y@wuA[kgpIqxUygY`gnHt@GweYyWQpOawq?u[wjnIdLhgB>qkprMoxxQ]eg\\RA[nhcZxyq?kpHsRvgd>^JYaK>[J>^JY_JvsXxwqqqpqwJquwVtXqjuQeWx`>Nuh>xSxsvonmqekIlI`i^?^H@eYWnYyxUpwwqZWg]y?nHodZibSQi]VifIpAgZtWnE^Z@Y_Z>tIxtuphAW\\bYgQO`Wn^:?f>QZKNtaPy:h]QprXAh=i[cifky[w^xJO^nxkr@\\Tx^JGh;pwqIk;WqTV`oIheishXqhQmhpdyVuIqguhwPpopqu@HmsqgMawcx]kpxMhk:Wu>^ZtqpO_aaAi]y[=_y;OedGo_PhxPthaZB>\\bop:aru?wQyEuiSYBpKI<[BtqDREY_idusUviuoutWeYyosHWbC[r\\iskIYokIqOuB[hG=vcCxfUUy[C`OIAKNImtUuWw`xGLPXtmnmrStVrtTvqqrtJVXJgxQAlkslvR`vfXpHQmnuKwYPXHhC__BgviOoyHoHIjpwm=vNweX_VmkriKYKYcLiRlceMSfusF\\Yxc]YHecIYgkIiokIyOxXceqSudIuxiyVyYDARqqvreEqsv:WX:IIZaEjmCrsBVWBHIBaAbm:[dtmCNOYjuU`;y<ers;vV>V::ZFNhH^ygygyWcvA`RPWkEy]ykavIuYtYTayDekGmccGIy\\aYkmCrsBTaYH[ruAv_udWmHcYRA]gxuwwKtiqRUwYq[cWIyYmrs;DiYiSiInYIhAi]wx[EuhgXSer\\?YgUUoCFaAYiyiyqyHybPIimuv`aYoguC;DZ;l<tqtitipnG\\xGaMkHTK<N:=ntPJSQm?TQiaadqhLwsB^kB?bZx]K^gMOmwXvHXatv]TwssvvVpnFVsr>[J>^j^l:ixQyeyF_JyyEyqvYsJggtG`;NZ>>[Fn^JhsJygqhupWjo>vO_Zd__Z>TkGXAitoiwqxUyfY[UYoxnwfGWwJoc==J<dlP<YcYSYMmxxOxPvOt_xVxsnyyQhEi_Q`akarMflhypHI\\Z>BMe:YBI[IJ_suswvGwuAxayIyhSUlmkALRhT:=nYhlBqKiPYOYoLyPCiNP@U<lJ;LJ><KviUZewoxdxx_hGp?q\\C_sBffeXy@iqoq`<^ZBB@yFJscKUsXYbYcYnItkiERIdB[T>=RZwgBEFd_uG?ypWHXAG]YuIAyP[t@=b:dWP<kS=yrPVcluQtQkIkI]NUmWshVaYr^yWxUxUpPMAMuD:SVQ;IkarMSIiIrqquuuwRyciAb>KsP;DbYsh?RGkcyAx=yCqmubsSrCv>OEnAUQCK:=VnMJy@y?yOttwCxxVYXIMp[qjUlXxIyZXjHLMWIjo`S:@J;LJM`J\\eka`W@pyHYQiaN>=noMJ<ntO`ayAj]IxoWkhNqbOy`Gy;y[x?`yWZXGb:@Z;pZC^]l?s[fmIvkk@aXwhZxihYhYXuZHlTN[;NZ>Noi>\\eyl>yfNi]p?u[PyWht=OZ]>\\J>wA?jTar`Vvk>^kqfs@s\\VknFhror>?j:FjxhZPAe]gkniyjIiIYiXOyT`wxOyryheiOwtqUIp]F:=b:TrE\\Ow`xLIwuMXfHy^UNJqR;DZUVox>rRxqjiji^h`_nHwawax;NejQ\\<^ZB^tY?vqyqyiiaiqjimiaiaOaZ@iVgepGqa_yiidQgeOwy;P];FZ<bT;CV_YlIsWwxYAyfOW];<ndw?jkvarAv=hmq^sqyqyiy=^pZi^>>[J>oy@r;yZY^usw_FQjuar:wigipQqty?n@?b:@:oB<sVYgYpuvwCyiuYuYUGKYfWc>KcQ;DbYcqcWfUcUaWmgcEqwUSUWUB];RZwE;_wlUyayIyXQuxSF\\xeyoyniTPpIFZ<^ZB^[c>lwFh^nttOka>lRA[nHd:?niWfOyZVVhqifqyvYxixAjg@iSb:CbtMCnuUhuiqquuuSU;w]qYHAUF]t@=b:\\J@uNjuywyxqmVaypWqXUItW<SEaJdlOZ<tQ]q:eTequ\\UkgllxHYhTqfQpOUwTpyJ<N:=V^PJApMt=WtqyqtwvXx`Dx;MPUqNHAtAqQQuUwexBUy\\HX<>\\bWq:IoapmTI[nypYqiuWus^kyhr<NZwWkExaBAt]Y]Jagky^qQ_GN^bi`>>[NidZVivwv>ybMif;pi?i\\QsiSI]iILiVqiXgOhxUDZ;TQCbfIXoEHSaNZhs<LJwwdy?jkxysysyow>Nyqaqaia=^pZi><KNySZYOYEyDuvwxwAyQxIXIAJl@RyhtPUU_tmuauaQtwQvlXYUDJ<>\\Rfk:YrIvafQhuItJQgopj<NZwg[EpdpwlYoxlxlShniVqBnkI?j:Ae?NpSIyOwdWghLIhm@bYVplIhSyfpg\\MqyuywyntxNaRFZ<^ZTQ^jqwqwquXxXW]MhcpNZgo\\J>wUaewIZAqiUigqHm_x]JqsEA[J>O;twSIyEv?wDHUEbytVUXGaxygImIeIax>=dtidSucC;DbGc:iYqiuQHQnlNS`W>Luh<NJypwaKR<XvqVcyJ>XxlLJ>LWa<PamsV`x=YvNUpmIPR`W@pQXDWQTu_tlVMtsApsinidYcpX]it[MJ>>ol@bqQfrwhVIhAgluPoi_Z@Q^Z>tIhjsHiAFyEyexQtsArTvlwFuB>\\Z>t>Gj=v[v>pmuW]XKiRMmCkMVZwcWoUjQbQ[fiWUwexOYeBQVF]BB;DbcSZSYpay<WCh;evCy^Yd_gx=IbC[T?=RZwgDeFd=uIgsqsuvWpheKuxoEaJB<LRhTZmpSIyb=Vd@RyxsxTynmuYtKx<imp]Aq[>>;;CFqGjYfYcybWxXQEY=iTACJ;SLCbXIUj;h:uxfcyLSSfCHjUIX=S:Nob>\\E`u_W[VicqVayfeZxijIrAVaiherGv?Xor^awO^:?JUG;wbXKYbCeimisQtqqtRgeqGDZ;xICB;ouS?HN?rayIyhmIdoQ\\UjErJeWsEP;LZNgbZyky_y]wvwhgiiqqqmkXeMCnIx<owSMywqxUygdSRMyC<[BB[tL=vWuwtuda?cNQhlMIwKW;CjbhjU=tx]YEMMYqlHYasWlrqxNqb:@Z;PqE^fqAg@YiU_spxsnhcQ>w]i`IQiPYpf@iYwxMHbyI[J>_W?nuIqmYefGp?GwwIt;RO_B>KydcT]ofwEcSwffQhNiYqxWGuR[Xu><[jy[;XbHFa^XxXpxHxhvXfPolSPZwinQpEMuTuXWiXaeWEqC>;CJ;FjCUZkIYmVYgHiuiwqpB<LbQLJ<wWpK?@KfmpSqVWxPTyKx=x=hjnHoKLJ>>]q@bqinpY_g`pLweAxmc>tAWZWylXy]n?t;gioHgaN:KB>ky[;tw?DXyDy?qR=KJ<mZ<NJYQ_LKK<Y\\I[^VxFY`Iw^NYiF@c[^oTF^:?fFQZWylTyr<ymwagmhZtAqOF_UHel@bXwa\\px[>b:@rybCweiCiJ;FjCU:=nf@OF=vXYiUIyJQgOYy<Aeo^b:@rR`ZtxdoxyCycxOtqIdaW[nItJivQxeXIiy_eaSWoiUqh]CB<\\pS=VkirQtwvxX@yvFUM;LJ<dqm=V>QJWYoXyYbYRYLMkItntS:@J;PV>lqpipihvtxWxXybhy>LyRyquQtuYRIdQn@mHXW?@J;N]d>xxyxyxqmqqfQduqjPFujP[K>`=weBVn@Oq?NqiynQNwWX]>>[NgeZXaFyr_HxI^ajAbhp_qY]bYqifqIXvVAi]ikspk]wf<^:cWL;sheTDwyoGDZ;Hw?bYADauR[QBkuiMuxU?XvUrdUF:=jdLKVaYmiswtwQuXYiYqmwhmxU<w]Hvumwsxnm]q_mlSmNqIpv@j:DJ<dSQ<mrIQlqquqweMyJv];Hn>^ZtInraqro^;hbPFe^Xx;ilNFZ<bd<UpEu_UQiYT=`jsAMMmm:uMuyqeiUiQwVTXgipQqo\\TkxDLZRT?r\\UcgktsucvQrQkiJMUy[ER?RW]B>Kyt_TdobwaIZAb=KY`mif_YYUJNiV<dKP<UlEs_TQiITiaYaYQAlMcmu:uMALkaYuauTldrmuwg]JB<LZ<l^tMrArALQiikYmylylK@LZ<tA@j:w[^VqFn_JvufPqANgjwai`^:?fnNZke]SYiMueugwobt;sZCbxkCrOwdWgDcx=EsuEH;KBGMDbqCmqwUwWLeVGgVNQB<cybgboweBcxHMB<[Bd_FJiE`yxXYq=uXg=t:uYQiUqexvEvs=x;yJIduQdKJ<N:=nHPJ<aYWTo`xsOELJ<wePTCpjqYNXtPLiQMuwlYy@xLVAxB\\TN=nBImsaWBXj@LyreYflxNiyXAONyTnarKiO<\\J@mNJiyrMQmTx]TVPAX=hJ>Ly@tLqPW=ULdYoPELwINJqO;hrQtUv@pEawuhv@HKnQRwUqHIR]hN:wo:@`iakZ>`v@j:wavHnPNhBRwmCfSiL;FJ=e:uXRwG\\QHuQF=cyNEfxAf=oCd[WfQE\\;R:?ZJnve@eOfidXn:@bYwrdhtvxs<giGY[bXy>Ng`>`DA`Y^\\=qsJyfVxxYyiyXsiYgpogcq_;NZ=H[vxwwwwm@glAfnoe??fL@j:ww^@_??bbx_?hu;G[npcZ_t[oqBAbYfgG_[oqfdYeqOsT>`;prE^hIasIY`IaaGx]iHZL>]o@j:wadGfgyce>x_x_wGoaYuSIqmwvLQ^:?J=c:IyayeY_Gq_uleeqAeqwiwiw?_hucT]cj[xsTqLdyRPMOGTLZ<Tl@Rqasv@PYMXk\\MxHP<LZ@allpm=FmRNw]ikXqb:@:=E;WRIcQIyl?hRYYPyDpieRALybuy;xJX<wSTjSPy[msBto_<RZPK<LrveLd@nIdSN<LbYmRetTlkclq_hsXdu^\\tQAp:PqF=n\\LJA`Ml=SI=LXyWyhy@mumHT>Lybax>ImtAqw=r@=j:fhMbrMvCoeqiVIofeWU?cxqOw<KBwete[t\\oyoubtAYmwcy;BpKB><wQ=nuIMmIxXLLIAYYtrpLo:uMwumrTTytVHamk]KCIPB<LZ<TB@rMxSxDOFyL\\DoKLJMYKB\\xHqkDEKfAq]qkwtWvyNW`XLentynm\\JB\\TI=vvXxH__m`slfaii]kVqwnog_l;paUVrupuoqoHAyPpetGw^aumwsWvtja]A@Z;NZ=F[>yfr`wdYsryuWphTIgZphv@k:FjShZ>J^PX<tUxQxQXYxAJvxxwxwg`UYdXB@J;PWB\\Sv`rximiaYaAuulPH@b@fpIqauaxvx`xgveveSVyRg]J@Z;RyKBkIugWIFyc]qxaoYtiVYKBG]DJxPkPoG<MMIlAmMS`Ov@x<qmKMu:PUTLJ;HTC\\XyLlhlQrlMj=r;Tnt\\tFhwHXOJyRalKv<x:qmqir?qLUG_]ohJOZ>>[Fg^jAy]ykqaqAgraGqracaW^:?fnOZ<fybago`e:@bqypuHxyyxWyH?bPeH;=b:ee?KV?yxCwwGCXiGYSUurSBw]ckIrAsEfIEyQTEeGO_emmsscVGsukECJ;FJOCV?Y\\IchydqmGJ;G;=RZwG;cu[SxC[wywyxYdxARR=Hise[giC[H?=vWywxuXIYy;EEQ?uI]hVsXZwsHwIKQFhYhqGDZN`>Nf<inuYkPAyfqf]>bZ_a<NZwAiVh]_@Z;HkmNha^mjOb;fodOj:Fjt>[>Q^jGpR^eqYy:AqPGpYhsa`o:w]wQkuAwuhcPFe^GlSQqeyqM>^:?nJGJYYJyXyWyWQRUytRCB<SHE;CnqsJOUC[SoSUYUg;;wfCB<Ci?KiQ=YIwCHwGyEqatXWiXQmwpmRoQjlTJw]kcqwuxwHmpVQXEqmZuUPQY<TnllthDJ<dtM<YIYYXYtmqqmXshTqNuoMPY>=n?LJ<dYELkVap[lrqtqElOr@VIyMK@y]PV]<RZHU<TTWYOYTk<iTgUOu<tamMMtO;yxFQydhmcLy==nsLJMtoT`XChYmMWe]NoYLJ<weyTmdQxyY<DP=dtwyJ_mmsmvCmkylyrmQ><KNaef>xpFxsPxkV_ywvWxhPOh^gdC^x;X\\EXZH_yZhyHxhvXnLpgtfb:@bw`ZXBtLxtxtwps<yXoQOUpup@R:=niERKXmx\\rCxMXUvIhs=yKy\\unIVUtM;pRD\\Svmtt]yxuuyuywilXTWOPJwmJo=s[tjnaiw`vLXc`vfYhipgnWfhH@Z;PwD^r>Hs>ysUoggIohgqnaoWOZ<rhOYqkXnwRYcYnMDEGRouykGcZuEYqFUACJ;gx?RfoTyCx=Qv;yBY[UwqcyiiAgTF[x;sXIiIqaFi?Y?YGfKeQUcm?SaCCNUTZkFBmFHQsiqhUqWOawfoUK;Wc?b:uuLQrqcXRYihQieafJ=XVIXAiHo=i@iRZox<CHe]EIITilv]EjqPOgLYqTMleT=dYPywCXpoIVwqxqxqwmp[EyiaJB\\pR=v;yJY\\SpuuwuxCuUBlr>LkG@J;PWC<;et=uWDKDBwWIwFHqxwuqyxUJUwTHN:=VREjBLxMtM=uTq@NYHMNeQJyVwamrPNo]qAMUBQWRYPSYwC\\PI=N`LR`lY@PkCTLUDJ<dtN<LbYoSuLwPO:=NxhRX@qTlYvIjlTVY=JhpNB\\Kb<PO=\\yxlkPnwgeqPq>NyjikA_uggpOqdMpwixaeaomPwDyoYaZB^\\^>\\Mv]MVjvXseY[<itFFjKN[B^x]^rOaho^ZHHa`AmcVjwH]uQgNybiNu[>`OinoIx;I`hvZiXyPwn:wmSwcoG]x__Vxh`Imaotw`]tyC;dM=Vd?Fy?t<UC_CxsIs@=b:XKB\\xOyoKpMP\\Nj]wkxrDlx?DUdmj:uq<DPmYQkqMsqn>DyFAnHHjxTwuInApMtDW@mWChNP@LfYywDrgyRZpr<Dxs@W\\akv]JsAyqqP<\\JdYNZ<tQynPMYT=l:aX;GjAn]RGyAYfO^bZH]<V^Q>kZv]mnqMvafn`[obxO^Xgm=fipnlipioYo<hyByie^]:@bo^Z`PmKxkU_\\?Fyd_tAC<CY?[Btai\\mxi]c:aX;qyosgsecaAuqkfDqBlkW;giqquuMTj[cJuEmCrGeuT?DbiBuqfXge@iRZye<STGAsEKxHAD<cxQ;DbYwYUR];EL=FxGgXOWkaiyeyQyYGmcrKvBGFUuxlMBGyDrIrIkYJ_wuwwxggEKxSeVU_DbYhkcYgYWYUeNus?yDY]IsSvFWHTwY<UE[Cb@GCFuD^ig_[tjORUkSeeB>KyPqdXAraKCVCY^IdCyiwYuygSSKSVmb`aY[;HS=VtWsdyXRIVAoTwkCgGc;oY`GEuAi\\QVIiIqaxeCR:?R?gBXkYrIv^kEosHkqha?e:AD^YGV=IWUFj;b:?Ry;BTwdnsUZuxWyXYOHRyr]YU\\yc^gc:Ue?kxTYWiGGyuI\\IXbuxVYXIUwbMeV;waMekwcZ?xhwXwLPqmwVqtOau:HKNeTZYuYqypMx@xPvHVDANiIpwhTgPmxELRlS:=nYlsIYoUl_xAyGghsniv?lWyiyiygNnQAxtY]Xya?nqninif^Ew_w`xNHbxn\\NWgmqt@@bYhtqn\\IfukwrWv^WxZka^=@aA_g>>[NX^JvkRXmrV]YvyvqrqnqkFadAo]Pscal]P\\Z>`PFZ;pif^sHNdqGjrYfRviNvntYfSvu>xrqNvpNZGW\\rFy^YlMxxvxvwVdXxxkGewIZA^]Jap[v[nnmpfZta[bqquqwEopXQieI_Ii[mpx=fm@oe>?^q@bvoxrgyeyeyfviIfVGgbW^:?nWN:hMomPDQJ?lkylyrIWaew]yKe@XY=Nppn@qOJDNxiuiqYqalY<L]YKg@UfdsPYOJqr:uug<xoyoyeYDYx_lVgyqririLQW=KJ<OJ=vxYyiySpYuiuqctYaQvDPrrak\\UN:=nWMJ<dYuPwg]p?TK>QsXYkhLqbaly=U?Xy<HpotPlDjSQRv]s>qrF`ogMW;ppALyFeN<prpTufUP_Yy[qQuaw]qUuuq:]J@@LRHWplyoxowewJdOuEO;LJouLJ<weqU;eyi`j:]ULxy`xPwHWTIUGEvxPL_MtCpO;@KkIXc]xNupK`ryXYoYoYem>iyLqpSiJ>VlGpqkiki_cuogCvxmxmMoxZ>\\<vjYnirapQ`tAagvI[a^m:Nk:FZ<Fk:ww^>^J?p:yhyXyWIgiypI@nNvsqxyFyfxVlv>x:YZ?v]SWh>nfP>yYxysym^iiiYiY@\\Y?xCP^JycIN]iYhMisTyruIvuvusEsCw^WdDkgBovB[tQ=F<]yXSYfIHgYynGurQyPqTIICFOS:=fYcdfoXC[yW=F<iyFUHqIx;oxZYbIkS\\qENUE;Of?KVpqF`Eu]qU`Ie`MvyOxOwgNcYbqTowFJyxQmw=oCt;WDiDlYhmUH`mw?WyxaGgitfCbSQRv]YH?yXyxxwtfGRUcC;KB?GCB[x?GTd=c:as<sJlAs^yQyYxyTlsTX`aSUlo\\mxxYtYpynHuuuNMAr<tmtataPlqqqqiqMqm]ELXpQtItIpNYmylw[v_[i^wO>\\bYxYH\\mhjuW`qIyGgq\\pe<F\\\\yeqQqQicuqewqvqvqS?kixdCgxP@bcOZ<fic_xH^upGjrArtdaqemkBi?Y^ke:wupYH_mvkyYlYLsTW:xkJty[xKw=OsXyhYq[mk:=RZxMHdPhPTTIWahm`hYi\\U\\Ek_LlIyiayju>kQW\\bFeZn\\G`yLylxtryHYaSvEs?MXrMBocDJ;weMUrcuhmd:]sXyyQyYwytnWG`yVQ_f@aCx]I@Ks_KyGQgymeKaxU;vyYyywyucYnGdg]x<KBwEX@IHmuIM=iquuwEXPQUTci:IVAgEpSvf[YVws`MvAuUAsRZ;tnEB;oiciDpkiTMCnYEjYv=XRHDQ^DyryrylwldyTmTtmvHuRbtk:Xp^QlEmsrToMtv;qOu`wL`qaiQiIPEtU<IYZ<tIpJwAj=lKBMvq=VthxYLvYyOx@y\\IsxYyiymVtXVIX]Hw>pTC\\vJ<yTytxpl>Qm^TPWXpkAoUAy<tQXpk]UN:=j:EL<LJwELDPuZ<P\\EjB<yyyuyyxyisruywuxA<kr`joYVYTi^IrAv]VFhIa`Y_l:omjq]opktQm;x_Dwirph>Ny[aytIioiqqquUpi[gpeqouP[riy:Hua__<fy>>yrwqXYgihqL@enIt@?j:RNKB<cyb[ToGSZ]r<CxGqyAsIrIrSuw;ywHCykuIx]uywD;=t]Sx@]UZGETwc?Cwx?x?wG^SyhYiiagmowSey\\mxwYrYkyj?BYmUSqVvKh:uIxQrVyXYiYCyYvyry]stYINSHrIH]MEywXpKB=QC>=bIwFAHW@lQxYUFQrAyljqV[yjOtxtMJ>LyK<LbYyKMpIDjT<KvXvWtwBMvxQwSpTKymdYRBmLnYVkiQqqvQTTbAYV]UvTxwtWjusdYLedtAaWHiQqauM]SA`plLT;Djx]nvhYolMQxvAioAUp?dorywkTtYTyTAKFaNJtUvuruExeoyoYpXxdS?jIxbOQuB>\\Z>`hGZ;piVQvHxbZ_k<VjFavI_y:_]qAhyyuyiyYOxyxyuyq<vyyYoWo\\RYr_nfeOysxrwOoZH\\mvwYFyBybFaqIHxqOfNvjL>wAGnt^eUHxuG]QgpfqpUqgmpjk@yWaiqYqYimvovmvmkw_xAhfipwghFaqAYlNNyCvwSi^nIhO`mS>yTqlVwrC^`D?bZxgNGaGnj:wi<Fx[^vwywywy:W`tYd?Vtf^xA?rgXgryakarMVtSAmf_[=qjoqga@mgxkjGxhxhwXsfXiywnbgopQ\\bYoYoor`byiqiiiiwu;vaEFyKNx\\QtcWem^Z\\otwnteFkahrnY]XYp:v]YCpKB><o\\@j:OkOGtaNZ_N[>inXI`e_]e@xhIqaqmwgshgxmGmeacuarwnokVaP_xI_iRvkIFx=qxiopQywvXxHIwwNq[q^nxlrOxP`hbGjx`^rI^IV]m@ykYaUywfnipqaJFrH?tYN\\y_rivk?Ff]iasvgjws<YyApanIn>ivmY^hNl`I[J>_F?bZx_FPd=_ZTI^JhZxAyZ^]mvd]Q[wYp?PwKgyqAqfnaEVwknvrA`iqupqhVXwwqkL?niyddPyuibBykEGo]q\\]`qiI_k@ZY_uEy]Y_c@y\\\\ppKQ[^Gnw^qaWiN_ungpFhtaYfkgb[iinhpLQa;NZ]h\\J>wAWwehh<foP>kEWyy>x;x[^XpZWtwar_AwEv_v@hhy[Iiyx?uHHumAq>QhtXvAacFxryhpta`WNijQZwAt>hli?^<pivxdFN\\nYpqQo?q\\U_oM>y]GZMYvHXahPx]q_mXjkweu_yw?]`>paoxK^u]Y[bc]Qsf?g]UDZ;HdCB;oYNMhTiF:=J<doJ<\\qPnFYdHN`ENykin[ouEwxaXyLO`UHwIx^I`hyayayixyfgGnYNibInn>dI_]Mom?@w`WyLv`<WiVgcOBPkVVYWuMgbAI;KB=;CB[x=;fsEC;KB>;CJ;s>[Btuv<aT<CDpYvlmwBKv?mBxIu<gWpyu]IxvuewawauF??wCGft=tymwaIYfiypihYgyl?rXke<UiYII<[BB[yM=RZwXp;DZ;R:?J==KB\\x==vo`y_hu[xQ<PwAqQpIp^utWuXWDug<SwaJaIXiYLeAp>ast]kylYf<SQQxYMK=yN:=Nq@Zxv`Sx\\J>^:?j:FjyO[B^xHqjkG[>YvqqxWyhYahKiqSpi\\qqmIdAVx?p\\T?_WhyYhoin]qq`hXp=IhB>\\bWOxWeevGXm:DJ<\\JDDLJ<wEDVNAK;B><Nj<Z;pi:^`iF^:?j:FZ<Fm:@biaeZ>b:\\>NsL>\\bYsLxhVOZ>>;KE[;FJyH\\_c@CR:?B;KJNQT:=nihVSaXT@J;BOEDJ;weOTCcyZ;R:?Znxc:?niweGikR@Z;J?LKB\\x?LVdMk:DZB>\\Z>lE?bZxs?ifaK>BnQCB[xHAC<[BB;DZ@RSMJ<dYSMxHXS:@:oRB;CnicbSf;=DZ;R:NgcBnihfSeHUDZ;R:PoB\\ke<tyLybYnCYQYIyHav[yjYloDAtoYj:DZBJbDU:=niDq:lKI=j:DJ<dxP<MQ=nyMsMmmL`rIYtXpxnPY=HwwDJ<\\:;Db[S:=fi[cLUR>;CJ;FJqR;GTAKy]qcukGGKxSysAmaTAsf_s>>[JJ:=VDDJ;pucER:@J;>[FF^jNs:wykxkw_oa^syOvMvmRNnapeD?j:F:^`G?bZdPET]IF:=Z@Q_jNo:wak^sAacwhk:FZ<B<[JbqLJ<wWxK><KJ<>[b:Et;oyCyFY_SpeuoutXGesIFtwv__BB;DZ;R:pJE<KniKhlo[HLZ<R:@rbiJDpKniuqYsAyyqHLZ<b;B;lnM<xCErsHR:@J;B=<Ol<tqujsiupUug=kXEYcDJ<\\JBBbUb:?jGdTplR<\\:[cF=fB?Ry]wkwrpaU\\uyCySxMX^eyOA`J>wQ?vIyixYhlxtXWioYquhyB>\\bFb:?niFZWI^C>\\Z>Bmc:Ah;oyywyuyi?Gy`aeHkR<=fKMBWyTGcioigieWNAuFkb:UT>[BtqfNMtr;CJ;n:E_@H[niu[oiXHIMd]ycykiNGHr;G;KB>kfL;u]ucwKYx?XF?bi;uu@Lbpl:@bTCnqb:CZbHm:A^;pykyrYvcpouswfeFuQaoPQqE?nGt=sCv;dfeioqtwswQUcgkhRMX@IEa]hKWrRGCNmS:=fi_UC]XB?B;r^;HB=fqOdweed[gi_BB[b:YVIgIpCWpoYHaesCsSwVXGCB?B;OD?[j_Lvu\\P;LJ>ri;dq;tqubsiuquuwoy:kRJAW;WTIeIoMTBWeribNEDyaYoitQuHTIhCUbuqtqoiocVjwH]uu^OGUSSW_B>KytcTEuUC;DZ;J_aJtiKnyRYdiXx[;ymtataP_qn\\WN^jFdZaqmqsEwsUy[v?v=FsaxawIw^nsUIfxoqjiji^^Ah]p?el?y[yjqoiH^ajAbji`N>\\fYgR_`Wog^@j:Cl_g@cR:?B;lr_<tIwyKykx_dRx]QGbVvnJGjf>tYIiaim?`puossvvFAa]yigipQq\\l_]G`kI?^x@nS@iOprUxuvqvkih:IlB^pV?bZxgsI[Z?y>>[J>>sFjSUZwwHSxmisqsUlMvCwFHsX:ug`;H@Ebf;tYAY]ic?_EoQyeygImIlIdI_FuywywYa[BhghPQUCyrxkxk_xYwWxGy`QRHWfKGxE[iciSiMeN[wYQxPwhFwi]Dl:Us>\\JtqlO\\ujEKJ<^:Gp<Vt?NyR?bdwnWphlPlwGpVQeUVp:Gt;thqyMwSxCIc;BD[x]mGjErAWcOCxqGu`UEmkx?Sidmc:aS<KBwWx=?B;KB>^j:ah;puDsJ;gXMUSCbKmBtAE^iYqiuQosHyrFmWvqsVIXAiEOGEuocFkGJCrxidi_Q;qYjMRi`NJyp:@RYyPOhMC<LZ>:Mh:mDbytVUXGqsy]wHSxu]wkwBpKBogDRcXZwsZmGs_vL_HviEt=w[ghoOtkIs<ST?SyrmbwIWage@Wc:Cb<_B>Ky<?FoSR:?B;Luc<l?LyglpRQNstxVYXumV^pyayYxynW@O@euRDjkeJtqw?QxH<QZAj@AyS<sy\\J`XY@hqZuwFDNj\\q:@Ry\\q[pLB<LZ<RZhr<DUZxmrEkw@PYQvMPn;URYtTZxkZutwYQneuouto<SKATlDjr]U[arqQssTX`AmkxXD@LRLByC;wv__BB;L:fxPYeixv=NwvYxIymV`hLIcZ?[nNbZ_e;py@X]h?cxFxCxc^vgwWwUWtYynAx]x?qKni@F`o@rqxQ`l;qyNYTIeR@=j:mS;DjxtNRhuC<LZ<BWUZkVQOhSsfrwHNqRZGS<SvD[xSGu?sDV=tM[xvsdxGSaUt^IhV_YlIsC]IHYhumtxkEyuV];RZwY;CbxwYeSYL;F:=b:dM;xNX@Y\\MtFTtApQnInnmlklmmhwAHROus;hYpIuaDY^IlAMytiWXtXZxkSPyImYlYlCyqyYyyxkoIqnypXQYeMxhyXyXuiiwRxuupQwIwIuNYIyHyXLhRQdUnMtuIwUturqrxpsKUQK<Wu@j:uupYP:AyC<LZ>R?rlUsgsHcYBbaruURwYxM=EwiylIxdkeASggohTuUaiyrWBwmtc_WOYykeIQoiDgHLyfa_FkUSMgc:CbSgB>KYa=C;KB><NjFjIxivU_SbT?DJes:cUoOivEyEyUhYwfwGe;taUgXyceIinYYgihQwuaQCxEy^eILoixeSgatlEB;oi_yF:GvM;F:=j[aJP@U\\EkX@NJtlmTuB\\P?=nfARy=t;uJodjLAQtaLruyuyuYIYIeufUpGQyvelWAKnxT:=niuWgikV@J;LJ>LKJ<mrPswmPMTY>ILA]LJQq`<KNXOJhJtyqviviTVgASqYXcwpYqIucgAV_ACVYXIiIMogL?cOAxg]BB[sf;FJYI==CJ;n:VbB^fIInYgfOhdLxyrykyAmnIjn?k`hqN@bcQZaomsoftocY>h:IZ]gwEwhZxk]YihfyRGyAQijxawIwIGs`VmfOtmquSvdxFuB>\\byc:?niysCqe>>[JZDGjf>tihqpQucyiyIrIniJ`aoIoIgwsAhtQoQgqDYhohmyfpN>quqwuXaaQxayAmYfUVr_ylYsMYvX?Y\\Iccyyx;yZYb]UIpWBGwSZkgx?eroi>IxAyEykiH;ILCb@;CB[xG;G\\GFJ;F:fvC^f;piGh`PAwcarawauIeQxkPxdPvbh>eZV[WWnHfxa`mlOcIywGI^A`]LYxIqfdY[h^gCgsowiK_lWXeuqwuxgCgqk?e<fxP>\\bYwWwawx^:?j:FjLhZ`X[nIeqp^HqaShoiFqZo[y>p:Aa<gyIwitYtn>ryytygyQO\\IA_yiviviS`yYyywyEgoXqPPyvLyKF`v?XpD\\wtXwhnq^HexGy_YlEv_v@hPytSIj:Fjch:ouSGR:?B;<KFDNjTUZxk`XVPIX[hjPLwsALUtxUYuB\\tG=NEdxYXyVyvDdwt]udPtwivQarAitW]YkircyYyYvYtyR=wkePplQ;@YNMnEYwAyvgASgILJ<wUYTeUN_<R:rB[BtICnIu[uunqfqcStARu=u[ubG?fQMe^;HtCbK]sNyVE?v?asvyFyCauywyxqa?ZagmoodtYqmAr=v[FpgZOeXFk:__twpkqrUvxvxxgfqnQt]FaPpbC^pK?bZxg]gtGHm:F:Cb<aBlaBtawZWxFYHIaf?UxxQyQyiPktacCK;Eo?RPKwiGi`Qe<mCOgBtAiqOYdgwNYTIeeniVRarSquryvicYcYS?_xAUF?ACFDYwQKe\\oZQxtQVbep<=n]<NJYQS<KJ<N:=Z[^Z@F[nIhrHoPfsmVey^b[^qn_o<vdWSOoBfAYp=YKSu_udWmH]iIlyHXAY]MImuy?wGvEVDyeioYoYgW?rYsdpUuDiDrWxHYIacY;SxxwxwwgVqSsKI;obD;CniCg[g[EDZ;R:HxB\\KT<wmpuwhvgtgcYjiY\\I_aknmHYaDFj;fZlxvMycoVcx^syXq[qjUnZfItynepVukXktPnZ?oHo`rirq`ulcf]hKqRhsgi=XGgCgOY<KBwexdMfA]BB;DZ;T]Cb[UBw]Coyby[y[MhjQrEsxv=CXqWugwLwbXKQG`NnepGMJqtuvUxFXP`YtGanIaxiyQkI[R`hiaiXWtrxxxOqS`ybwuw>ysgbuyuyngq?PutywdwCCNcFZ;tQcFcgE<[BB<tDEj\\LJwmJQTOAxSvARvioieYehlhpJG=j:eQ>LvC`JMtuqpuyqyqyt]XxtESZHJ<LJwUJD@WB\\JB<<sSZ?s:ueGOVXIYaiwsAbvgwpWu`sxXYYiEY=_X^MB><m<=V\\QnqUOg`pLMXKiRQDp\\<RZ]k<LJwAMkhMD@J;LJ>Lma<PD@RYLSkPoqQNE`OLIKpYsgtpVUxjakB@J;PUD\\rgXLhtoihVcaXtHj<LZ@n\\OAlB><<PxDjKeJtaW>Du\\HYyYyyxyulq;EQLDJ<\\J`@LBxnG\\SV]xHylGpSOLJ_QKB\\x_QyuLQ;LZJ>os@rbXZwgss_hY@Z;p:cumOxesgvOhEYwU[TUURcwg:?RYuuTIwsCB<[BB[T:=RZwg:EDnEb:Cbk?CvgwguWEuGowyZyBy;IPWvs;C;KBmWCB[xmWESYb:C:[Se;FJYIs;CJ;F:=J<dFKyl_vWsL<\\ZbCZxW>C;B<\\tL?BQ@JdPNZ<dDg>FZ<JTy>YuQ>m:F:dJD<KniJ\\MWDN:KB>;C^QLJyv\\Qpm^:>teBnHL><[:?J=ffCB;DUlq;=ZTBB[xG?G]j:bTJSm@;F:fD[jOEo>pYJ<N:G:Uy>[BtqxOauBGCJ;n:Ej<LJwEjRPm\\<R:B;KBs_B>KyV]UpmF:=:ci<KBw\\J;LZJJJml:@RYmlvXvL<N:cKKB<cY]Ksb=D>;CJ;^TO[B^xo`_UpcM>^:?j:gd>^ZtQoNOby>[J>>Vy>^ZtqxOauBH[J>^:?n:GZ;DJSTM]BB>Z;RhCB;oIQsdWGCJ;>ug:?RiacZ;R:L:KsL;DbYsLwXVMB>R>DjxHL_]PBLZJ>>TS;Djxpl_UtcMZJBNeR:=fiOS_[x=?B;BnwS:=fiuUGicR?B;KJN<OZ<tQ<kcHO<\\ZZ>b:@bhFZ;paQvlWH[J>>vO;tuSFB;DZ;:OPBVSJ>>G:CZ>>;K?y<ZN;P<@:LE:J?:c@\\JB<LBi>Y@ZJY?[@>B@RS_:_?JGBn^K:O=:;ZO;:@ZgE>KAA;@R;::CB<CAa=@:LItF><<TPJP:nBfKZ:LgjTWM>B;TObd:rxbwR<<\\Z@B>BZ:F:m?s<<BpEu_:J<BDQ\\iVC:]:A;BBnLf?JB>DbD:>txJYqA^:\\Lb<NJyLB:;CJ;FJW[x:Zi<;K:=:dfJrlZBBT:L:CB<\\Dx?:c<f>F:^P:ZD:LG>[J>^JXCxF:[xD<GBJFjlD;DEZTJbC]:d@:<:e<:F:UQB\\HH<Fj<::LJ>LHHAF:^XnSB>>nfZf:bKR]:;^T[ot`BJ<ndJO;jwKuk>>>;GJBJ:;R:`El?>JfQpE;Z>JNh>YsL:@;H<JJb_REZJBNJO:Bnw[xhIB;>_J?bZx_J:<LZ<RZt<w;:Y?<\\:@:NS[j_;KJn:^:LJ>>OvE:L?RCR:Bg::O:^TB<[BB[vLvS:<wO>TJZRZ_O<NP:oZJM@;NG:>:P?:R:phJ>WV>RZ?::^ZB^VVHR:BwbmJBBbS;S;J]j@;<Bo<eoGKZ>bO[d<Zu]p]CBB<TZJZ:<j:FQ^EBZRifQ<:CZbVCxl_:F<V>ZZJEkP:[JbZd:Jbu=wWYJ<BD[DJ;wE[:>^:?j:o?t=:xD>>;F:bl<[E=\\Zb;B;^ZBBdrQ:^DjLj:JT;:d:BoJ><KJ<s_rm:>teBnZ:k:Ee>bf:d;[`F<bT:B:fD:j:fW[BtrBj:E::B;KBsrVj:JtKa[JJJm<l<Z@[G<>Jd?PeU\\:CJe<O?:qAgAMJJ>n:[:;>Z;RhBQJ:kXSi>:L:KsLv_E;R>rB:;[P\\g:<[J;O;ZJqAtuxZ>JN<OZ<tQ<;BB;DZ;dEnA:vOBB<R:J_?<Q@>;K=J<B;KJNki:BOZ_Z;Zn<:N;Jd[B>\\Z>lEka;BnQKb;;\\;PPCJS;N=<GS>Jo:J:RO:Z;Ru<KnkKZ;P::J<\\JlksZ;Zn]H=[ZZ`?^?:G<U>BZNEfPq>;LZP?dD:hITI`ZZBb;<;<B:=jVKhZ:\\wlXC:^:\\l_rEQ<jBjK:<<g>U;><[<d<:[hInqw;CZb>d:?ni><JJ<N:=NQbI:reJJ>j:ZDE>hFB<\\@Z>J<\\Zb\\Y;Jd:E;=:c?:b<ZN=KB>;C^Q\\I=Jbi\\J=<>=ffLZl<b@>TlBZd;Z:jd::=jp?\\b]]:=f::Z>>[^]m;=:cAW@<;;GEBE:T>pBJ:cPRghC<^:gDNO:VYnXF;;KJ=><>J:@Zs\\V;;>u_wL:B;>_EkQh>ZKZ]:>>TCp<B><?N?:<WYbiu=L:KCN;DbYC>ZZ>b:@bhJY:jQ[ZBZ;:OPBVSJ>>G:CZ>>;K?y<ZN;P<@:LE:J?:c@\\JB<LBi>Y@ZJY?[@>B@RS_:_?JGBn^K:O=:;ZO;:@ZgE>KAA;@R;::CB<CAa=@:LItF><<TPJP:nBfKZ:LgjTWM>B;TObd:rxbwR<<\\Z@B>BZ:F:m?s<<BpEu_:J<BDQ\\iVC:]:A;BBnLf?JB>DbD:>txJYqA^:\\Lb<NJyLB:;CJ;FJW[x:Zi<;K:=:dfJrlZBBT:L:CB<\\Dx?:c<f>F:^P:ZD:LG>[J>^JXCxF:[xD<GBJFjlD;DEZTJbC]:d@:<:e<:F:UQB\\HH<Fj<::LJ>LHHAF:^XnSB>>nfZf:bKR]:;^T[ot`BJ<ndJO;jwKuk>>>;GJBJ:;R:`El?>JfQpE;Z>JNh>YsL:@;H<JJb_REZJBNJO:Bnw[xhIB;>_J?bZx_J:<LZ<RZt<w;:Y?<\\:@:NS[j_;KJn:^:LJ>>OvE:L?RCR:Bg::O:^TB<[BB[vLvS:<wO>TJZRZ_O<NP:oZJM@;NG:>:P?:R:phJ>WV>RZ?::^ZB^VVHR:BwbmJBBbS;S;J]j@;<Bo<eoGKZ>bO[d<Zu]p]CBB<TZJZ:<j:FQ^EBZRifQ<:CZbVCxl_:F<V>ZZJEkP:[JbZd:Jbu=wWYJ<BD[DJ;wE[:>^:?j:o?t=:xD>>;F:bl<[E=\\Zb;B;^ZBBdrQ:^DjLj:JT;:d:BoJ><KJ<s_rm:>teBnZ:k:Ee>bf:d;[`F<bT:B:fD:j:fW[BtrBj:E::B;KBsrVj:JtKa[JJJm<l<Z@[G<>Jd?PeU\\:CJe<O?:qAgAMJJ>n:[:;>Z;RhBQJ:kXSi>:L:KsLv_E;R>rB:;[P\\g:<[J;O;ZJqAtuxZ>JN<OZ<tQ<;BB;DZ;dEnA:vOBB<R:J_?<Q@>;K=J<B;KJNki:BOZ_Z;Zn<:N;Jd[B>\\Z>lEka;BnQKb;;\\;PPCJS;N=<GS>Jo:J:RO:Z;Ru<KnkKZ;P::J<\\JlksZ;Zn]H=[ZZ`?^?:G<U>BZNEfPq>;LZP?dD:hITI`ZZBb;<;<B:=jVKhZ:\\wlXC:^:\\l_rEQ<jBjK:<<g>U;><[<d<:[hInqw;CZb>d:?ni><JJ<N:=NQbI:reJJ>j:ZDE>hFB<\\@Z>J<\\Zb\\Y;Jd:E;=:c?:b<ZN=KB>;C^Q\\I=Jbi\\J=<>=ffLZl<b@>TlBZd;Z:jd::=jp?\\b]]:=f::Z>>[^]m;=:cAW@<;;GEBE:T>pBJ:cPRghC<^:gDNO:VYnXF;;KJ=><>J:@Zs\\V;;>u_wL:B;>_EkQh>ZKZ]:>>TCp<B><?N?:<WYbiu=L:KCN;DbYC>ZZ>b:@bhJY:jQ[ZBZ;:OPBVSJ>>G:CZ>>;K?y<ZN;P<@:LE:J?:c@\\JB<LBi>Y@ZJY?[@>B@RS_:_?JGBn^K:O=:;ZO;:@ZgExyY:cEUOwwyUredU;B:;B:MTKWDKWgJ;eZ6:\"\{\}-%%ROOTG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"&S?"F*-%.BOUNDS_HEIGHTG6#$"%q\F*-%)CHILDRENG6.-%/TEXT_CONTAINERG6(-%/LINE_THICKNESSG6#$"#5F*-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$F(F(-%'ORIGING6#-%&POINTG6$$"%ItF*$"%!R%F*-%&SCALEG6#-FI6$F@F@-%)ROTATIONGF'-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTGFhn-%%DATAG6%7$$"%IjF*$"%!H%F*7$$"%+?F*$"$+#F*%'CLOSEDG-%*PARAGRAPHG6#Q_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"-F;6(F=-FC6&FE-FL6#-FO6$$"%giF*$"%l@F*FUFZFfnFjn-F]o6%7$$"%g_F*$"%!3#F*7$Feo$"$q"F*Fio-F[p6#Qc[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F^p-%'STROKEG6&-%(OUTLINEG6#-%&COLORG6&%$RGBGF@F@F@-F>6#$"#gF*-FC6&FE-FL6#-FO6$$"%?'*F*$"%!*=F*FUFZ-F]o6hp7$$"%+'*F*$"%I=F*7$$"%5'*F*$"%?=F*7$$"%I'*F*Fjs7$$"%]'*F*Fjs7$$"%q'*F*Fjs7$$"%!p*F*FjsFbt7$$"%S'*F*FjsFgs7$$"%q&*F*Fjs7$$"%]&*F*Fjs7$$"%I&*F*Fjs7$$"%5&*F*Fjs7$$"%!\*F*Fjs7$$"%![*F*$"%5=F*7$$"%g%*F*F]vFju7$FeuF]v7$$"%?&*F*$"%+=F*7$$"%S&*F*Ffv7$$"%g&*F*Ffv7$F\uF]v7$F\uFes7$F\u$"%]=F*7$$"%!e*F*$"%g=F*7$Fdw$"%!)=F*7$$"%!f*F*F^s7$Fcs$"%+>F*7$F\sF_x7$FitF_x7$$"%g'*F*F_x7$$"%!o*F*F_x7$FgxFiw7$Fct$"%q=F*7$FctFaw7$Fdx$"%S=F*7$FdxFfw7$FdxFiwFcx7$Fdx$"%?>F*7$FgxFdy7$Fgx$"%S>F*7$$"%+(*F*$"%]>F*7$$"%?(*F*F]z7$F`z$"%I>F*7$F`z$"%5>F*7$$"%5(*F*F_x7$F[zFfz7$F[zFcz7$FftF]z7$Fft$"%q>F*7$FctF_[l7$Fdx$"%g>F*7$FitFc[l7$F]tFhy7$F\sFcz7$FhsFdy7$FcsFfz7$F\xF_x7$FdwF^s7$FdwF[y7$F\wFfw7$F_uFaw7$FivF_y7$FbuFes7$FdvFjs7$$"%+&*F*Fjs7$F[vFjs7$$"%q%*F*Fes7$Fg\lFaw7$Fg\lF[y7$Fg\lF^s7$F[vFfz7$FhuFdy7$FeuFfz7$FeuF^s7$FbuF^s7$F_uF^s7$F\wF_x7$FdwF_xF^x7$FhsFfz7$F]tFfz7$FitFdyFcyFfy7$F[zFdy7$FizFcz7$$"%I(*F*Fcz7$$"%](*F*Fcz7$$"%q(*F*FczF_^l-Fiq6&F[rFbr-FC6&FE-FL6#-FO6$$"%N()F*$"%0:F*FUFZ-F]o6at7$$"%5')F*$"%g:F*7$$"%?')F*$"%]:F*7$$"%I')F*$"%S:F*7$$"%S')F*$"%I:F*7$$"%]')F*$"%?:F*7$$"%q')F*$"%5:F*7$$"%!o)F*$"%+:F*7$$"%!p)F*$"%!\"F*7$$"%+()F*$"%!["F*7$$"%5()F*$"%q9F*7$$"%I()F*F`bl7$$"%S()F*$"%g9F*7$$"%g()F*Fhbl7$$"%q()F*$"%]9F*7$F^cl$"%I9F*7$$"%!y)F*$"%?9F*7$F^cl$"%59F*7$$"%]()F*F[dl7$FcblF[dl7$$"%?()F*Fhcl7$F^blFccl7$Fial$"%S9F*7$FialFhbl7$FdalF[bl7$F_alFfal7$FdalFaal7$FialFfal7$FbdlFfalFbbl7$F^dlF`blFjblF]cl7$FfclFfdl7$$"%+))F*Ffdl7$$"%?))F*Ffdl7$$"%I))F*Fccl7$$"%]))F*Fccl7$FjelF`cl7$FjelF[bl7$FgelFfal7$FgelF\al7$FdelFg`l7$$"%5))F*Fb`l7$FdelF]`l7$FgelFb`l7$$"%S))F*Fg`l7$FgflFaalF^fl7$FbflF[bl7$FbflFhbl7$FaelF`cl7$$"%!z)F*Fhbl7$FfclF`bl7$F[clF`bl7$FfblF`bl7$FcblF[bl7$F^blF[blFidl7$Fj`lF[bl7$Fe`lF[bl7$F[`lF[bl7$Fa_lF[bl7$$"%!f)F*F[blFhgl7$Ff_lFaal7$F``lFaal7$Fe`lF\al7$FdalFb`l7$F^blFb`l7$FcblF]`l7$F^dlF]`lFahl7$F^blF]`l7$F_alF]`l7$$"%g')F*F]`l7$F``lF]`lFehlFdhl7$FialF]`l7$FbdlF]`l7$FfblF]`l7$F[clF]`l7$FfclF]`lF\ilF[ilFjhlFihlFdhl7$F^blFc_l7$Fcbl$"%q:F*7$F^dlF`il7$F[cl$"%!e"F*7$F^dl$"%!f"F*7$FcblFgil7$F^blFgil7$FdalFgil7$Fj`lFgil7$F``lFgil7$FfhlFgil7$F_alFgil7$FialFgil7$FbdlFgil7$FfblFgil7$F[clFgil7$FfclFgil7$FaelFgil7$FbflFdil7$FgelFdil7$FjelFdil7$$"%q))F*FdilFhjlFgjlFfjl7$F^glFdil7$F^clFdil7$F^dlFdil7$FcblFdil7$F^blFdil7$FdalFdil7$Fj`lFdil7$Fe`lFdil7$F[`lFdil7$Fa_lFdil7$$"%+')F*F`il7$FjglFc_l7$$"%q&)F*Fc_l7$$"%]&)F*Fc_lFj[mFi[m7$Ff_lFc_l7$F``lFc_l7$Fj`lFc_l7$FdalFc_lF^il7$FcblFc_l7$F^dlFc_l7$F^clFc_l7$F^glFc_l7$FbflFc_l7$FgelFc_l7$FjelFc_l7$FjjlFc_l7$$"%!*))F*Fc_l7$$"%5*)F*Fc_l7$$"%+*)F*Fh_l7$$"%!)))F*Fh_l7$FjjlF]`l7$FjjlFg`l7$$"%g))F*Fg`l-Fiq6&F[rFbr-FC6&FE-FL6#-FO6$$"%&f(F*$"$D)F*FUFZ-F]o6\s7$$"%?tF*$"%55F*7$$"%StF*F^_m7$$"%gtF*F^_m7$$"%!Q(F*F^_m7$$"%!R(F*$"%+5F*7$$"%5uF*F\`m7$$"%?uF*$"$!**F*7$$"%IuF*$"$!)*F*7$$"%]uF*Fi`m7$$"%guF*$"$q*F*7$$"%quF*$"$g*F*7$$"%!\(F*Ffam7$$"%5vF*Ffam7$$"%?vF*$"$]*F*7$$"%SvF*Fabm7$$"%]vF*$"$S*F*7$$"%gvF*$"$I*F*7$$"%qvF*$"$?*F*7$$"%!e(F*$"$5*F*7$$"%!f(F*$"$+*F*7$$"%+wF*$"$!*)F*7$F`dm$"$q)F*7$F`dm$"$])F*7$$"%5wF*$"$S)F*7$F[em$"$?)F*7$F[em$"$+)F*7$F[em$"$!yF*7$F[em$"$g(F*7$$"%?wF*$"$](F*7$F\fm$"$I(F*7$$"%IwF*$"$?(F*7$Fdfm$"$+(F*7$Fdfm$"$!oF*7$$"%SwF*$"$q'F*7$$"%]wF*$"$]'F*7$$"%gwF*$"$S'F*7$$"%qwF*$"$I'F*7$$"%!p(F*F`hm7$$"%5xF*F`hm7$$"%IxF*F`hm7$$"%]xF*F`hm7$$"%qxF*F`hm7$$"%!y(F*F[hm7$$"%!z(F*Ffgm7$$"%+yF*$"$g'F*7$FhimF\gm7$FhimFifm7$FhimFffm7$FbimFffm7$F_imFafm7$F\imFafm7$FihmFafm7$$"%?xF*$"$S(F*7$$"%+xF*Ffjm7$$"%!o(F*Ffjm7$F^hmF^fm7$FdgmF^fm7$FdfmF^fm7$F\fmFiem7$F`dmFiem7$FfcmFiem7$F\cmFiem7$FdbmFiem7$F_bmFiemFe[nFd[n7$F[dmFiemFhem7$FdfmFiem7$FdgmFiem7$F^hmFiem7$FchmFiem7$FfhmFiem7$$"%SxF*Fiem7$$"%gxF*Fiem7$FbimFiem7$FhimFiem7$$"%?yF*Fiem7$$"%SyF*Fiem7$$"%gyF*Fiem7$$"%IyF*Fiem7$$"%5yF*Fiem7$FeimFiem7$F_imFiem7$F\imFiem7$FdjmFiemF[\nFj[n7$F_gmFiemFa[nFb[nFc[nFd[nFe[nFf[n7$$"%+vF*Fiem7$$"%![(F*FiemFi]nFf[nFe[nFd[nFc[nFb[nFa[nFh]nFj[nF[\nF\\n7$FihmFiem7$Fdjm$"$q(F*7$FijmFa^n7$FchmFfem7$Figm$"$!zF*7$FdfmFf^n7$F\fmFcem7$F[dmFcem7$Ffcm$"$5)F*7$F\cmF\_nF[_n7$F`dmF\_n7$FdfmF\_n7$FigmF\_n7$F\[nF`em7$FijmF`em7$FdjmF`em7$F^\nF`em7$Fa\nF`em7$F_imF`em-Fiq6&F[rFbr-FC6&FE-FL6#-FO6$$"&]7"F*$"%!H"F*FUFZ-F]o6_gl7$$"&!=6F*Fccl7$$"&q6"F*Ffdl7$$"&g6"F*F`cl7$F]anF`bl7$F]anFfal7$F]anF\al7$F]anFb`l7$F]anFh_l7$F]anF`il7$F]anFgil7$Fg`nFgil7$$"&!>6F*F`il7$FhanFh_l7$FhanFg`l7$FhanFaal7$FhanF`bl7$FhanF`cl7$FhanFhcl7$Fhan$"%+9F*7$Fhan$"%!Q"F*7$Fhan$"%g8F*7$Fhan$"%S8F*Ffbn7$$"&57"F*$"%!R"F*7$F]cnF[dl7$F]cnFccl7$F]cnF`cl7$$"&?7"F*F`bl7$FecnFfal7$FecnF\al7$FecnFb`l7$$"&I7"F*Fh_l7$F[dnFb`l7$F[dnF\alFgcnFdcnFccnFbcn7$$"&+7"F*Fhcl7$FhanF[dlFbcn7$$"&S7"F*F`cl7$F``nF`bl7$$"&q7"F*Faal7$$"&!G6F*F\al7$$"&!H6F*Fg`l7$$"&+8"F*Fb`l7$$"&58"F*Fg`l7$FdenFaal7$FdenF`bl7$FdenF`cl7$FdenFhcl7$FdenF_cn7$FdenF[dl7$FdenFcclFhen7$$"&?8"F*Fhbl7$F^fnFfdl7$F^fnF[dl7$F^fnF_cn7$F^fn$"%q8F*7$F^fn$"%]8F*FcfnFbfn7$F^fnFhcl7$$"&S8"F*Fabn7$F[gnFdfn7$F[gn$"%I8F*7$F[gn$"%!G"F*7$F[gn$"%?7F*7$F[gn$"%!="F*7$F[gn$"%g6F*7$F[gn$"%S6F*7$$"&]8"F*$"%]6F*7$FahnFhgn7$Fahn$"%57F*7$Fahn$"%S7F*7$Fahn$"%q7F*7$FahnFb`n7$Fahn$"%?8F*7$FahnFgfn7$FahnFdbn7$FahnFabn7$F[gnF[dl7$F[gnFcclFjfnF]gnF^gn7$F[gn$"%+8F*7$F[gn$"%g7F*FdgnFggn7$F[gnFchn7$F[gn$"%?6F*7$F[gn$"%+6F*F_jnF^jnFggnFdgn7$F[gnF]in7$F[gn$"%58F*F^gn7$F[gnFgbn7$F[gnFjbnFfjnFagn7$FahnF\jn7$FahnFegn7$Fahn$"%+7F*FehnF\[oFihnF\in7$FahnFiin7$FahnF_gnFcin7$FahnFdfn7$$"&q8"F*Fdfn7$$"&!Q6F*Fgfn7$$"&!R6F*Fjbn7$$"&+9"F*Fgjn7$F]\oFb`n7$F]\oF\jn7$$"&59"F*Fjhn7$$"&I9"F*Fegn7$Fe\oF^[o7$Fe\o$"%I7F*7$Fe\o$"%]7F*7$Fe\oF]in7$Fe\oFb`nF^]o7$Fe\oFjhn7$Fe\oFghn7$Fe\oFhgn7$Fe\oFchn7$Fe\oF`jn7$Fe\o$"%!4"F*7$Fe\o$"%q5F*7$$"&?9"F*Fcjn7$F\^o$"%I6F*7$F\^o$"%q6F*7$F\^oFghn7$F\^oF\jn7$F\^oFb`n7$F\^oFgjn7$F\^oFjbn7$F\^oFdfn7$Fb\oF_cn7$Fb\oFgbn7$Fb\oFjbn7$Fb\oFain7$Fb\oFb`n7$Fb\oF]in7$Fb\oF\]o7$Fb\oFi\o7$F]\oFghn7$Fj[o$"%!>"F*7$$"&g8"F*Fhgn7$Fg_oF[hnFjgn7$F[gnFd_o7$F[gnFghn7$F^fnFghn7$F^fnFi\o7$FdenF\jn7$FaenFbgn7$FaenFiin7$FaenFain7$F^enFgjn7$F^enFbgn7$F^enF\jn7$F^enFjhn7$F^enF^[o7$F^enFhgn7$F[enF[hn7$FhdnF`jn7$FhdnFchn7$FhdnFb^o7$FhdnF^[o7$FhdnFegn7$FhdnFjhn7$FhdnF\jn7$FhdnFb`n7$$"&g7"F*Fiin7$FbaoFbgn7$FbaoF\jn7$FbaoFi\o7$F``nFegn7$F[dnFegn7$F[dnF\]o7$F[dnFbgn7$F[dnFiinFjao7$F[dnF\jn7$F[dnFb`n7$F[dnFain7$F[dnFjbn7$F[dnFgbn7$F[dnF_cn7$FecnFabn7$FecnFdbn7$FecnFgbn7$FecnFjbn7$FecnFain7$FecnFiin7$FecnFbgn7$FecnF\jn7$F`dnF]in7$F`dnFiin7$Fg`nFain7$Fg`nFjbn7$Fj`nFgfn7$F]anFdfn7$$"&]6"F*F_cn7$FacoF[dl7$FacoFcclFccoF`co7$FacoFdfn7$FacoFgfn7$F]anFjbn7$Fj`nFgbn7$Fj`nFdbn7$Fj`nFabn7$Fg`nFhcl7$FhanFcclFacn7$FecnF_cn7$FecnFdfn7$FecnFgfnF^doF]do7$FecnF[dl7$FecnFccl7$FecnF`cl7$F]cnFhbl7$F`dnF`cl7$Fg`nF`clFf`n7$FacoFhcl7$$"&I6"F*F_cn7$$"&56"F*Fdbn7$$"&+6"F*Fdfn7$$"&!46F*Fgfn7$$"&!36F*Fjbn7$$"&g5"F*F_gn7$$"&]5"F*Fain7$$"&S5"F*Fgjn7$$"&I5"F*Fb`n7$$"&?5"F*Fbgn7$FcfoF\jn7$$"&55"F*F\]o7$FgfoFi\o7$F`foFjhn7$F`foF\jnF_fo7$F]foFiinFieo7$FjeoFgfn7$FjeoFdbn7$FgeoFabn7$$"&q5"F*Fhcl7$FagoFfdlF`go7$FagoF_cn7$FagoFdfn7$FagoFgfn7$FagoFain7$FagoFb`n7$FagoF]in7$FagoF\]o7$FgeoFjhn7$FgeoFghn7$FgeoFd_o7$F]foFhgn7$F]foF[hn7$F]foF^hn7$F`foF_^o7$F`foFcjn7$F`fo$"%!3"F*7$F`fo$"%g5F*7$F`fo$"%S5F*7$Fcfo$"%?5F*7$FcfoF\`m7$FcfoFi`mF_ioF\io7$Fcfo$"%]5F*7$FcfoFi]o7$FcfoFcjn7$FcfoF`jn7$FcfoF^hn7$FcfoF[hn7$FcfoFhgn7$FcfoF^[o7$FcfoFegn7$FcfoFjhnFffo7$FgfoF]in7$$"&+5"F*Fbgn7$F_joFiin7$$"&!*4"F*Fgjn7$$"&!)4"F*F_gn7$$"&q4"F*Fjbn7$$"&g4"F*Fgfn7$$"&]4"F*Fdfn7$$"&S4"F*Fdbn7$$"&?4"F*Fdbn7$Fe[pFgbn7$$"&54"F*Fjbn7$Fi[pFain7$Fi[pFiin7$Fi[pFbgn7$Fi[pF\jn7$Fi[pFjhn7$Fi[pFegn7$Fe[pF^[o7$$"&I4"F*Fd_o7$Fb[pFhgn7$Fb[pF[hn7$F_[pFchn7$F\[pF^hn7$FfjoF^hn7$FcjoFchn7$FcjoFb^o7$FcjoF^[o7$FcjoFegn7$FcjoF\]o7$FfjoF\jn7$FfjoFbgn7$FijoFb`n7$FijoFgjn7$F\[pFain7$F\[pFjbn7$F_[pFgfnF^[p7$F\[pFdbn7$F\[pFgbn7$F\[pF_gn7$FijoFain7$FijoFiin7$FijoFbgn7$FijoF\jn7$FijoFjhn7$FijoFegn7$FijoF^[oF^^pF]^p7$FijoF]inFj]p7$FijoF_gn7$FijoFgfn7$FijoFdfn7$FijoF_cn7$FijoF[dl7$FijoFfdl7$FijoFhbl7$FfjoFfdl7$FfjoF[dl7$FfjoF_cn7$FcjoFdfn7$F_joFgfn7$F_joF_gn7$FgfoFgjn7$FcfoFb`n7$FcfoFain7$FcfoFgfn7$FcfoFdfn7$FcfoF[dl7$F`foFccl7$F]foF`cl7$F]foF`bl7$F]foFccl7$F]foFabn7$F]foFdfn7$F]foFgfn7$FgeoFgfnFego7$FaeoFdbn7$FaeoFabn7$F[eoFabn7$$"&?6"F*F_cn7$FhdoFdbn7$$"&S6"F*Fdfn7$Fd`pFgfn7$F]anFgfn7$Fj`nFjbnFibn7$F]cnFjbnF_bo7$F``nFjbn7$FhdnFjbn7$FddnFjbnFi`pFibnFgco7$F``pFjbn7$F^eoFjbn7$FgeoFjbn7$FcfoFjbn7$F_joFjbn7$FfjoFjbnFd]pFbapFaap7$F`foFjbn7$FjeoFjbnFceo7$F[eoFjbn7$Fd`pFjbnFh`pFibnFi`pF_boF`bo7$F``nFdfn7$F[enF_cn7$$"&I8"F*F[dl7$Fg[oFhcl7$Fe\oFhcl7$$"&g9"F*Fhcl7$$"&+:"F*Fhcl7$$"&S:"F*Fhcl7$$"&g:"F*Fhcl7$$"&!e6F*FhclFgbp7$$"&I:"F*FhclFabp7$$"&q9"F*Fccl7$$"&S9"F*Ffdl7$Fb\oFfdl7$Fg[oFfdl7$Fg_oFfdl7$FahnF`cl7$Fd[oF`cl7$Fg_oFcclF\fn7$F[enFhcl7$F``nF[dl7$F[dnFabn7$F`dnF_cnF]do7$F[dnFdbn7$FbaoFdbn7$F[enFdbn7$F^fnFdbnFdin7$Fg[oFdbn7$Fb\oFdbn7$Fe\oFdbn7$FdcpFdbn-Fiq6&F[rFbr-FC6&FE-FL6#-FO6$$"%5!)F*$"%&G$F*FUFZ-F]o6\[l7$$"%q!)F*$"%!=$F*7$$"%!3)F*$"%+LF*7$F\fp$"%?LF*7$F\fp$"%SLF*7$F\fp$"%gLF*7$$"%!4)F*$"%!Q$F*7$Fjfp$"%5MF*7$$"%+")F*$"%?MF*7$$"%?")F*Fdgp7$$"%]")F*Fdgp7$$"%q")F*Fdgp7$$"%!=)F*F_gp7$$"%+#)F*$"%+MF*7$$"%5#)F*$"%!R$F*7$$"%I#)F*Fjhp7$$"%]#)F*Fjhp7$$"%q#)F*F\gp7$$"%!G)F*Fjhp7$$"%!H)F*F_gp7$$"%+$)F*Fdgp7$$"%5$)F*$"%IMF*7$$"%?$)F*$"%SMF*7$$"%S$)F*$"%]MF*7$$"%g$)F*$"%gMF*7$$"%q$)F*$"%qMF*7$$"%!Q)F*$"%![$F*7$$"%!R)F*$"%!\$F*7$$"%5%)F*F_\q7$$"%?%)F*$"%+NF*7$$"%I%)F*$"%5NF*7$Fb\qF\]q7$F]\qF\]q7$F^[qF\]q7$FijpF\]q7$FdjpF\]q7$F\jpF\]q7$FiipFg\q7$FfipF_\q7$$"%g#)F*F_\q7$F`ipFj[q7$$"%S#)F*F`[q7$$"%?#)F*F[[q7$FhhpFfjp7$FchpFajp7$$"%!>)F*Fdgp7$F`hpFehp7$F]hpFjhp7$$"%g")F*F\gp7$$"%S")F*$"%qLF*7$$"%I")F*Fgfp7$Fggp$"%]LF*7$FbgpFc_q7$FjfpFdfp7$F\fp$"%ILF*7$FgepFafp7$$"%]!)F*Fafp7$$"%I!)F*Fafp7$F`epFafp7$$"%+!)F*$"%5LF*7$$"%!)zF*Fe`q7$$"%gzF*Fe`q7$$"%SzF*Fe`q7$$"%?zF*Fe`q7$$"%5zF*Fafp7$$"%+zF*Fh_q7$$"%!)yF*Fh_q7$$"%qyF*Fafp7$F]bqF^fp7$F\]n$"%!H$F*7$$"%]yF*$"%qKF*7$Fdbq$"%]KF*7$Fi\n$"%?KF*7$F_]n$"%5KF*7$Ff\n$"%+KF*7$FhimFbcq7$Feim$"%!>$F*7$F_imFfcq7$F\imFfcq7$FihmFfcq7$FdjmFiep7$Fijm$"%qJF*7$Fchm$"%gJF*7$F\[n$"%]JF*7$Figm$"%SJF*7$Fdgm$"%IJF*7$F_gm$"%?JF*7$Fdfm$"%5JF*7$F\fm$"%+JF*7$F[em$"%!3$F*7$F`dm$"%qIF*7$Ffcm$"%gIF*7$F`dm$"%]IF*7$FdfmF^fq7$FdgmF^fq7$F\[nF^fq7$FijmF^fq7$FihmF^fq7$Fa\nF^fq7$FbimF^fq7$FhimF^fq7$Fb]nF[fq7$Ff\nFheq7$Fi\nFheq7$F\]nFheq7$FjaqFeeq7$$"%!*yF*$"%!4$F*7$FdaqF`gq7$FaaqFbeq7$F^aqFbeq7$$"%]zF*F_eq7$$"%qzF*F_eq7$Fh`qF\eq7$Fc`qF\eq7$$"%?!)F*F\eq7$$"%S!)F*F\eq7$$"%g!)F*F\eq7$F\fpF\eq7$FbgpF\eq7$$"%5")F*Fidq7$FggpFfdq7$F`_qFcdq7$F`_qF]dq7$F`_qFfcq7$F`_qF_cq7$F[_qF\cq7$Fh^qF\cq7$F]hp$"%IKF*7$F`hp$"%SKF*7$FchpFfiq7$FhhpFibq7$F]ipFibq7$F`ipFibq7$Fcip$"%gKF*7$FiipF]jq7$FdjpF]jq7$$"%I$)F*Ffbq7$$"%]$)F*Ffbq7$Fc[qFfbqFdjqFajq7$F_jpFfbq7$FiipFfbq7$FcipFfbq7$F`ipFfbq7$F^^qFfbq7$FhhpF]jq7$Fc^qF]jq7$F`hpFibq7$Fh^qFibq7$F[_qFibq7$FggpFibq7$FihqFfiq7$FbgpFciq7$F\fpF\cq7$FdhqF\cq7$F\`qF_cq7$FahqFbcq7$F_`qFfcq7$F^hqFiep7$F`epF]dq7$Fc`qF`dq7$Fh`qFcdq7$F[aqFcdq7$F^aqFcdq7$$"%IzF*Ffdq7$FdaqFfdq7$F^gqFfdq7$F]bqFfdq7$FdbqFfdq7$F_]nFfdq7$Fb]nFfdq7$FeimFfdq7$F_imFfdq7$F\imFfdq7$FihmFfdq7$FfhmFfdq7$FfhmF\eq7$FdjmF_eq7$F^\nF_eq7$F\imFbeq7$F_imFbeq7$FeimFbeq7$Fb]nFbeq7$FhimF_eq7$FhimFidq7$FbimFidqFj\r7$F_imF`dq7$FbimF]dq7$FhimF]dq7$Fb]nFiepFacqF^cqF[cq7$FdbqFciq7$F\]nFfiq7$F\]nF]jq7$F]bqFfbq7$F]bqFabq7$FjaqF^fp7$F^gqFe`q7$F^gqFh_q7$F^gqFc_q7$F^gqF]_q7$FjaqF\gp7$FjaqFehp7$F]bqFjhp7$FdbqFgfp7$Fi\nFdfp7$Fi\nFafp7$Fi\nF^fp7$Fi\n$"%!G$F*7$F_]nF]jq7$F_]nFfiq7$Ff\nF\cq7$Ff\nFfiq7$Ff\nF]jq7$Ff\nF^_r7$Ff\nF^fp7$Ff\nFafp7$Ff\nFdfp7$Ff\nFgfp7$Ff\nFh_q7$Fb]nF^fp7$FhimF^_r7$FeimF]jq7$FbimFibq7$FbimF\cq7$F_imFbcq7$F_imFciq7$FbimFfiq7$FbimF]jq7$FeimFfbq7$FeimFibqFb`rFa`r7$Fa\nF_cq7$F\imF\cq7$F_imF\cq7$FeimF\cq7$Fb]nFciq7$Fi\nFfiq7$F\]nFibq7$F]bqF]jq7$F^gqF]jq7$FdaqF]jq7$Fa\rF]jq7$FfgqF]jq7$FigqF]jq7$$"%!*zF*F]jq7$F`epF]jq7$F_`qF]jq7$F\`qF]jq7$FgepF]jq7$FjfpF]jq7$FbgpF]jq-F;6(Fbr-FC6&FE-FL6#-FO6$FgflFbcqFUFZFfnFjn-F]o6%7$Fi\n$"%+IF*7$Feo$"$+%F*Fio-F[p6#QggtCjxUZXh0LWZpZWxkIHN1cGVyc2NyaXB0PSJmYWxzZSIgcGxhY2Vob2xkZXI9ImZhbHNlIiBleGVjdXRhYmxlPSJmYWxzZSIgc2VsZWN0aW9uLXBsYWNlaG9sZGVyPSJmYWxzZSIgaXRhbGljPSJmYWxzZSIgc2l6ZT0iMTIiIGJvbGQ9ImZhbHNlIiBzdWJzY3JpcHQ9ImZhbHNlIiBmYW1pbHk9IlRpbWVzIE5ldyBSb21hbiIgb3BhcXVlPSJmYWxzZSIgdW5kZXJsaW5lPSJmYWxzZSIgYmFja2dyb3VuZD0iWzI1NSwyNTUsMjU1XSIgcmVhZG9ubHk9ImZhbHNlIiBmb3JlZ3JvdW5kPSJbMCwwLDBdIiBhbGlnbm1lbnQ9ImxlZnQiIGZpcnN0aW5kZW50PSIwIiBzcGFjZWJlbG93PSIwIiBsZWZ0bWFyZ2luPSIwIiBsaW5lc3BhY2luZz0iMC4wIiBpbml0aWFsPSIwIiBsaW5lYnJlYWs9InNwYWNlIiByaWdodG1hcmdpbj0iMCIgYnVsbGV0c3VmZml4PSIiIHNwYWNlYWJvdmU9IjAiIGJ1bGxldD0ibm9uZSIgcGFnZWJyZWFrLWJlZm9yZT0iZmFsc2UiPjxFcXVhdGlvbiBleGVjdXRhYmxlPSJmYWxzZSIgaW5wdXQtZXF1YXRpb249IiIgZGlzcGxheT0iTFVrbGJYSnZkMGMySXk5SksyMXZaSFZzWlc1aGJXVkhOaUpKTEZSNWNHVnpaWFIwYVc1blIwa29YM041YzJ4cFlrZEdKelkxTFVramJXbEhSaVEyTmxFaVlVWW5MeVVuWm1GdGFXeDVSMUV3VkdsdFpYTitUbVYzZmxKdmJXRnVSaWN2SlNWemFYcGxSMUVqTWpaR0p5OGxKV0p2YkdSSFVTVjBjblZsUmljdkpTZHBkR0ZzYVdOSFJqY3ZKU3AxYm1SbGNteHBibVZIVVNabVlXeHpaVVluTHlVcWMzVmljMk55YVhCMFIwWThMeVVzYzNWd1pYSnpZM0pwY0hSSFJqd3ZKU3RtYjNKbFozSnZkVzVrUjFFb1d6QXNNQ3d3WFVZbkx5VXJZbUZqYTJkeWIzVnVaRWRSTGxzeU5UVXNNalUxTERJMU5WMUdKeThsSjI5d1lYRjFaVWRHUEM4bEsyVjRaV04xZEdGaWJHVkhSand2SlNseVpXRmtiMjVzZVVkR1BDOGxLV052YlhCdmMyVmtSMFk4THlVcVkyOXVkbVZ5ZEdWa1IwWThMeVVyYVcxelpXeGxZM1JsWkVkR1BDOGxMSEJzWVdObGFHOXNaR1Z5UjBZOEx5VTJjMlZzWldOMGFXOXVMWEJzWVdObGFHOXNaR1Z5UjBZOEx5VXNiV0YwYUhaaGNtbGhiblJIVVN4aWIyeGtMV2wwWVd4cFkwWW5MeVVyWm05dWRIZGxhV2RvZEVkUkpXSnZiR1JHSjBZdkwwWXpVU014TWtZbkwwWTJSand2UmpsR1BFWTZSajFHUDBaQlJrUkdSMFpKUmt0R1RVWlBSbEZHVTBaVkwwWllVU2R1YjNKdFlXeEdKdz09Ij5MVWtsYlhKdmQwYzJJeTlKSzIxdlpIVnNaVzVoYldWSE5pSkpMRlI1Y0dWelpYUjBhVzVuUjBrb1gzTjVjMnhwWWtkR0p6WTFMVWtqYldsSFJpUTJObEVpWVVZbkx5VW5abUZ0YVd4NVIxRXdWR2x0WlhOK1RtVjNmbEp2YldGdVJpY3ZKU1Z6YVhwbFIxRWpNalpHSnk4bEpXSnZiR1JIVVNWMGNuVmxSaWN2SlNkcGRHRnNhV05IUmpjdkpTcDFibVJsY214cGJtVkhVU1ptWVd4elpVWW5MeVVxYzNWaWMyTnlhWEIwUjBZOEx5VXNjM1Z3WlhKelkzSnBjSFJIUmp3dkpTdG1iM0psWjNKdmRXNWtSMUVvV3pBc01Dd3dYVVluTHlVclltRmphMmR5YjNWdVpFZFJMbHN5TlRVc01qVTFMREkxTlYxR0p5OGxKMjl3WVhGMVpVZEdQQzhsSzJWNFpXTjFkR0ZpYkdWSFJqd3ZKU2x5WldGa2IyNXNlVWRHUEM4bEtXTnZiWEJ2YzJWa1IwWThMeVVxWTI5dWRtVnlkR1ZrUjBZOEx5VXJhVzF6Wld4bFkzUmxaRWRHUEM4bExIQnNZV05sYUc5c1pHVnlSMFk4THlVMmMyVnNaV04wYVc5dUxYQnNZV05sYUc5c1pHVnlSMFk4THlVc2JXRjBhSFpoY21saGJuUkhVU3hpYjJ4a0xXbDBZV3hwWTBZbkx5VXJabTl1ZEhkbGFXZG9kRWRSSldKdmJHUkdKMFl2TDBZelVTTXhNa1luTDBZMlJqd3ZSamxHUEVZNlJqMUdQMFpCUmtSR1IwWkpSa3RHVFVaUFJsRkdVMFpWTDBaWVVTZHViM0p0WVd4R0p3PT08L0VxdWF0aW9uPjwvVGV4dC1maWVsZD4=F^p-F;6(Fbr-FC6&FE-FL6#-FO6$$"&!Q5F*$"%N=F*FUFZFfnFjn-F]o6%7$$"%!Q*F*$"%];F*7$Feo$"$q$F*Fio-F[p6#Q_[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^p-F;6(Fbr-FC6&FE-FL6#-FO6$FgxF\_lFUFZFfnFjn-F]o6%7$F_alFainFbdrFio-F[p6#Q_[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^p-F;6(Fbr-FC6&FE-FL6#-FO6$Fjel$"$&*)F*FUFZFfnFjn-F]o6%7$FdbqFagm7$Feo$"$]%F*Fio-F[p6#Qg]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F^p-F;6(Fbr-FC6&FE-FL6#-FO6$$"&+="F*FgjnFUFZFfnFjn-F]o6%7$$"&+3"F*$"%56F*FibrFio-F[p6#Qc[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F^p

Element of arc length LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2J1EjQUJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0YxLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw== is given by 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

Error, missing operator or `;`

Art 1: Show that LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEjZHNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSI9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSZtZnJhY0dGJDYoLUYjNictRiw2JVEiYUYnRi9GMi1GNjYtUScmc2RvdDtGJ0Y5RjtGPkZARkJGREZGRkgvRktRJjAuMGVtRicvRk5GZW4tRiw2JVEoZCYjOTUyO0YnRi9GMi8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RidGOS1GIzYnLUkmbXNxcnRHRiQ2Iy1GIzYpLUYsNiVRJGNvc0YnL0YwRj1GOS1JKG1mZW5jZWRHRiQ2JC1GIzYqLUkjbW5HRiQ2JFEiMkYnRjlGVy1GLDYlUScmIzk1MjtGJ0Znb0Y5Ri8vJStleGVjdXRhYmxlR0YxLyUscGxhY2Vob2xkZXJHRjFGam5GMkY5Ri9GZHBGZnBGam5GMkYvRmRwRmpuRjIvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRl1xLyUpYmV2ZWxsZWRHRj1Gam5GOQ== and hence that 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

Art 2: Write a computer program to calculate the scope of the shape according to the trapezoid method.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

JSFH

<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field>

JSFH

<Text-field style="Heading 3" layout="Heading 3">Art 1</Text-field>

JSFH

Given the expression: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ky1JJW1zdXBHRiQ2JS1GLDYlUSYmcmhvO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2Ji1JI21uR0YkNiRRIjJGJ0Y6LyUrZXhlY3V0YWJsZUdRJXRydWVGJy8lMGZvbnRfc3R5bGVfbmFtZUdRKTJEfklucHV0RidGOi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSI9RidGOi8lJmZlbmNlR0Y5LyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRjkvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRmpuLUYyNiUtRiw2JVEiYUYnL0Y4RkUvRjtRJ2l0YWxpY0YnRj1GSS1GTTYtUScmc2RvdDtGJ0Y6RlBGUkZURlZGWEZaRmZuL0ZpblEmMC4wZW1GJy9GXG9GaW8tRiw2JVEkY29zRidGN0Y6LUkobWZlbmNlZEdGJDYkLUYjNihGP0Zlby1GLDYlUSgmdGhldGE7RidGN0Y6RkNGRkY6RjpGQ0ZGRjpGK0Y6\342\207\222

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRyaG9HRihmKjYjSSZ0aGV0YUdGKEYoNiRJKW9wZXJhdG9yR0YoSSZhcnJvd0dGKEYoLUklc3FydEdGJTYjKiZJImFHRigiIiMtSSRjb3NHRiU2IywkOSRGOSIiIkYoRihGKDcjRi4=

therefore:

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LCQqKComSSJhRzYiIiIjLUkkY29zRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YmNiMsJEkmdGhldGFHRiZGJyIiIiMhIiJGJ0YlRictSSRzaW5HRipGLUYwRjI=

Therefore,

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSdkJnJobztHRigsJCoqSSJhR0YoIiIjLUkkc2luR0YlNiMsJEkmdGhldGFHRihGMSIiIiomRjBGMS1JJGNvc0dGJUY0RjcjISIiRjFJKWQmdGhldGE7R0YoRjdGPDcjRi4=

Knowing that

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNkc0dGKCokKihJImFHRigiIiNJKWQmdGhldGE7R0YoRjEtSSRjb3NHRiU2IywkSSZ0aGV0YUdGKEYxISIiIyIiIkYxNyNGLg==

JSFH

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2L1EzJkRvdWJsZVJpZ2h0QXJyb3c7RicvJSVib2xkR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y0LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkgvRjNRJ25vcm1hbEYn 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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

JSFH

<Text-field style="Heading 3" layout="Heading 3">Art 2</Text-field>

JSFH

Because the shape is symmetrical, we can calculate only the part that is in the first quarter and multiply the result by 4.

x := seq(a*sqrt(cos(2*theta))*cos(theta), theta = 0 .. evalf((1/2)*Pi), evalf((1/2000)*Pi)): y := seq(a*sqrt(cos(2*theta))*sin(theta), theta = 0 .. evalf((1/2)*Pi), evalf((1/2000)*Pi)): for i to 1000 do ShapeLength[i] := sqrt((abs(x[i])-abs(x[i+1]))^2+(abs(y[i+1])-abs(y[i]))^2): end do: SOS:=4*convert(convert(ShapeLength, list), `+`);

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRTT1NHRigsJC1JJGFic0dGJjYjSSJhR0YoJCIrI2Y1KVs1ISIpNyNGLg==

JSFH

<Text-field style="Heading 1" layout="Heading 1">Q2</Text-field>

Prove that: 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

Where LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy = central differences operator.

<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field>

JSFH

Note! Maple does not have all the operators you have learn, you need to build them! How to build them you can find in the Maple course notebook.

First, let define LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy:

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSZkZWx0YUdGKCwmLUkiZkdGKDYjLCZJInhHRigiIiJJImhHRigjRjQiIiNGNC1GMDYjLCZGM0Y0RjUjISIiRjdGPDcjRi4=

Having the following expression, 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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEkbGhzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0YzUSdub3JtYWxGJw== of the expression

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEkcmhzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0YzUSdub3JtYWxGJw== of the expression

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LCYqJC1JImZHNiI2IywmSSJpR0YmIiIiI0YqIiIjRiojISIiRixGKiokLUYlNiMsJkYpRipGLUYqRi1GLg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtaUdGJDYlUSgmZGVsdGE7RicvJSdpdGFsaWNHRjRGLy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUZHNiVRImZGJy9GS1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy1GTTYkLUYjNiMtRkc2JVEiaUYnRlRGVkYvRi8tRkc2I1EhRic=

LCYtLUkiZkc2IjYjLCZJInhHRiYiIiJJImhHRiYjRioiIiM2Iy1GJTYjSSJpR0YmISIiLS1GJTYjLCZGKUYqRisjRjJGLUYuRio=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDRi8=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LCYtSSJmRzYiNiMsJkkiaUdGJSIiIiNGKSIiI0YpISIiLUYkNiMsJkYoRikjRixGK0YpRik=

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

KiYsJi1JImZHNiI2IywmSSJpR0YmIiIiI0YqIiIjRiohIiItRiU2IywmRilGKiNGLUYsRipGKkYqLCYqJkYkRipGLkYrRioqJkYuRipGJEYrRipGLQ==

For more simple view let do the following transformation:JSFH

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTFHRigsJiokLUkiZkdGKDYjSSJ5R0YoIyEiIiIiIyIiIiokLUYxNiNJInhHRihGNEY1NyNGLg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

For more simple view let do the following transformation:JSFH

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTJHRigqJiwmLUkiZkdGKDYjSSJ5R0YoISIiLUYxNiNJInhHRigiIiJGOCwmKiZGMEY4RjUjRjgiIiNGOComRjVGOEYwRjtGOEY0NyNGLg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTNHRigvKigsJiokLUkiZkdGKDYjSSJ4R0YoIyIiIiIiI0Y3KiQtRjM2I0kieUdGKEY2ISIiRjdGOiNGPUY4RjJGPiomLCZGOkY9RjJGN0Y3LCYqJkY6RjdGMkY2RjcqJkYyRjdGOkY2RjdGPTcjRi4=

JSFH

Now, we deal with the rhs of the equation above:

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LyomLCYtSSJmRzYiNiNJInlHRichIiItRiY2I0kieEdGJyIiIkYuLCYqJkYlRi5GKyNGLiIiI0YuKiZGK0YuRiVGMUYuRioqKCwmKiRGK0YxRi4qJEYlRjFGKkYuRiUjRipGMkYrRjg=

Therefore,

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LyooLCYqJC1JImZHNiI2I0kieEdGKCMiIiIiIiNGLCokLUYnNiNJInlHRihGKyEiIkYsRi8jRjJGLUYmRjNGIw==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

JSFH

<Text-field style="Heading 1" layout="Heading 1">Q3</Text-field>

The following method to calculate the integral below named "Lobatto":

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY4LUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2LlEmJmludDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvSSttc2VtYW50aWNzR0YkUSZpbmVydEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y6LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjovJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dGOi8lJ2FjY2VudEdGOi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkotRiM2Jy1GLzYtUSomdW1pbnVzMDtGJ0YyRjhGOy9GPkY6RkAvRkNGOkZERkYvRklRLDAuMjIyMjIyMmVtRicvRkxGVS1JI21uR0YkNiRRIjFGJ0YyLyUnaXRhbGljR0Y/LyUscGxhY2Vob2xkZXJHRj8vRjNRJ2l0YWxpY0YnLUYjNiVGV0ZlbkZpbi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRicvJS9zdWJzY3JpcHRzaGlmdEdGX28tSSNtaUdGJDYlUSJmRidGZW5GaW4tSShtZmVuY2VkR0YkNiQtRiM2JC1GY282JVEieEYnRmVuRmluRjJGMi1GLzYtUSJ+RidGMkY4RjtGUkZARlNGREZGRkhGSy1GLzYuUTAmRGlmZmVyZW50aWFsRDtGJ0YyRjVGOEY7RlJGQEZTRkRGRkZIRktGW3AtRi82LVEiPUYnRjJGOEY7RlJGQEZTRkRGRi9GSVEsMC4yNzc3Nzc4ZW1GJy9GTEZocC1GY282JVEiYUYnRmVuRmluLUYvNi1RJyZzZG90O0YnRjJGOEY7RlJGQEZTRkRGRkZIRkstRmdvNiYtRiM2KEZiby1GZ282JC1GIzYlRk9GV0YyRjItRi82LVEiK0YnRjJGOEY7RlJGQEZTRkRGRkZURlZGYm8tRmdvNiQtRiM2JEZXRjJGMkYyRjIvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGaHEtRmNvNiVRImJGJ0ZlbkZpbkZdcS1GZ282Ji1GIzYoRmJvLUZnbzYkLUYjNiVGTy1GY282JVEnJiM5NDU7RicvRmZuRjpGMkYyRjJGaHFGYm8tRmdvNiQtRiM2JEZgc0YyRjJGMkYyRl9yRmJyRmhxLUZjbzYlUSJjRidGZW5GaW5GXXFGYm8tRmdvNiQtRiM2JC1GWDYkRl9vRjJGMkYyRmhxLUZjbzYlUSJSRidGZW5GaW5GMg==

Find LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIixGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRiw2JVEiYkYnRi9GMkY1LUYsNiVRImNGJ0YvRjJGNS1GLDYlUScmIzk0NTtGJy9GMEY9RjlGOQ== that give the maximal order of the residue.

<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field>

JSFH

Having the following expression, we deal each side of the expression separate:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEkbGhzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0YzUSdub3JtYWxGJw== of the expression

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEkcmhzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0YzUSdub3JtYWxGJw== of the expression

Having the following integral:

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

We can write it's series:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkobXN1YnN1cEdGJDYnLUkjbW9HRiQ2L1EmJmludDtGJy8lK2ZvcmVncm91bmRHUS5bMTQ0LDE0NCwxNDRdRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFEmaW5lcnRGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZNLUYjNiQtRi82LVEqJnVtaW51czA7RidGNUY7Rj4vRkFGPUZDL0ZGRj1GR0ZJL0ZMUSwwLjIyMjIyMjJlbUYnL0ZPRlgtSSNtbkdGJDYkUSIxRidGNS1GIzYjRlovJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLyUvc3Vic2NyaXB0c2hpZnRHRlxvLUkjbWlHRiQ2JVEnc2VyaWVzRicvJSdpdGFsaWNHRkIvRjZRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNictRmBvNiVRImZGJ0Zjb0Zlby1GaG82JC1GIzYjLUZgbzYlUSJ4RidGY29GZW9GNS1GLzYtUSJ+RidGNUY7Rj5GVUZDRlZGR0ZJRktGTi1GLzYtUSIsRidGNUY7L0Y/RkJGVUZDRlZGR0ZJRksvRk9RLDAuMzMzMzMzM2VtRidGY3BGNS1GLzYuUTAmRGlmZmVyZW50aWFsRDtGJ0Y1RjhGO0Y+RlVGQ0ZWRkdGSUZLRk5GY3A=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMtSSRJbnRHRiU2JCsxSSJ4R0YoLUkiZkdGKDYjIiIhRjQtLUkiREdGJTYjRjJGMyIiIiwkLS0tSSNAQEdGJTYkRjciIiNGOEYzI0Y5RkBGQCwkLS0tRj42JEY3IiIkRjhGMyNGOSIiJ0ZHLCQtLS1GPjYkRjciIiVGOEYzI0Y5IiNDRk8sJC0tLUY+NiRGNyIiJkY4RjMjRjkiJD8iRlctSSJPR0YmNiNGOUZJL0YwOyEiIkY5Ris=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

Having the following expression:

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

LCoqJkkiYUc2IiIiIjcjLCYtSSJmR0YlNiMhIiJGJi1GKjYjRiZGJkYmRiYqJkkiYkdGJUYmNyMsJi1GKjYjLCRJJmFscGhhR0YlRixGJi1GKjYjRjZGJkYmRiYqJkkiY0dGJUYmLUYqNiMiIiFGJkYmSSJSR0YlRiY=

We can write it's series:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSZmX18tMUdGKCwyLUkiZkdGKDYjIiIhIiIiLS1JIkRHRiU2I0YwRjEhIiItLS1JI0BAR0YlNiRGNiIiI0Y3RjEjRjNGPi0tLUY8NiRGNiIiJEY3RjEjRjgiIictLS1GPDYkRjYiIiVGN0YxI0YzIiNDLS0tRjw2JEY2IiImRjdGMSNGOCIkPyItLS1GPDYkRjZGRkY3RjEjRjMiJD8oLS0tRjw2JEY2IiIoRjdGMSNGOCIlU103I0Yu

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVmX18xR0YoLDItSSJmR0YoNiMiIiEiIiItLUkiREdGJTYjRjBGMUYzLS0tSSNAQEdGJTYkRjYiIiNGN0YxI0YzRj0tLS1GOzYkRjYiIiRGN0YxI0YzIiInLS0tRjs2JEY2IiIlRjdGMSNGMyIjQy0tLUY7NiRGNiIiJkY3RjEjRjMiJD8iLS0tRjs2JEY2RkVGN0YxI0YzIiQ/KC0tLUY7NiRGNiIiKEY3RjEjRjMiJVNdNyNGLg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYjUTRgZl9fJm1pbnVzOyZhbHBoYTtgRictSSNtb0dGJDYtUSomY29sb25lcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSVzdWJzRicvJSdpdGFsaWNHUSV0cnVlRicvRjlRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiktRiw2JVEieEYnRlJGVS1GNTYtUSI9RidGOEY7Rj5GQEZCRkRGRkZIRkpGTS1GNTYtUSomdW1pbnVzMDtGJ0Y4RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GYG8tRiw2JVEoJmFscGhhO0YnL0ZTRj1GOC1GNTYtUSIsRidGOEY7L0Y/RlRGQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZOUSwwLjMzMzMzMzNlbUYnLUYsNiVRKGNvbnZlcnRGJ0ZSRlUtRlg2JC1GIzYmLUYsNiVRJ3Nlcmllc0YnRlJGVS1GWDYkLUYjNigtRiw2JVEiZkYnRlJGVS1GWDYkLUYjNiNGZm5GOEZmb0ZmbkZmby1JI21uR0YkNiRRIjhGJ0Y4RjhGZm8tRiw2JVEocG9seW5vbUYnRlJGVUY4RjhGKw==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSxmX18tJmFscGhhO0dGKCwyLUkiZkdGKDYjIiIhIiIiKiYtLUkiREdGJTYjRjBGMUYzSSZhbHBoYUdGKEYzISIiKiYtLS1JI0BAR0YlNiRGNyIiI0Y4RjFGM0Y5RkEjRjNGQSomLS0tRj82JEY3IiIkRjhGMUYzRjlGSCNGOiIiJyomLS0tRj82JEY3IiIlRjhGMUYzRjlGUCNGMyIjQyomLS0tRj82JEY3IiImRjhGMUYzRjlGWCNGOiIkPyIqJi0tLUY/NiRGN0ZKRjhGMUYzRjlGSiNGMyIkPygqJi0tLUY/NiRGNyIiKEY4RjFGM0Y5RmFvI0Y6IiVTXTcjRi4=

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SStmX18mYWxwaGE7R0YoLDItSSJmR0YoNiMiIiEiIiIqJi0tSSJER0YlNiNGMEYxRjNJJmFscGhhR0YoRjNGMyomLS0tSSNAQEdGJTYkRjciIiNGOEYxRjNGOUZAI0YzRkAqJi0tLUY+NiRGNyIiJEY4RjFGM0Y5RkcjRjMiIicqJi0tLUY+NiRGNyIiJUY4RjFGM0Y5Rk8jRjMiI0MqJi0tLUY+NiRGNyIiJkY4RjFGM0Y5RlcjRjMiJD8iKiYtLS1GPjYkRjdGSUY4RjFGM0Y5RkkjRjMiJD8oKiYtLS1GPjYkRjciIihGOEYxRjNGOUZgbyNGMyIlU103I0Yu

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVmX18wR0YoLUkiZkdGKDYjIiIhNyNGLg==

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTJHRigsKComSSJhR0YoIiIiLCotSSJmR0YoNiMiIiEiIiMtLS1JI0BAR0YlNiRJIkRHRiVGNzYjRjRGNUYxLS0tRjs2JEY9IiIlRj5GNSNGMSIjNy0tLUY7NiRGPSIiJ0Y+RjUjRjEiJGckRjFGMSomSSJiR0YoRjEsKkYzRjcqJkY4RjFJJmFscGhhR0YoRjdGMSomRj9GMUZRRkNGRComRkZGMUZRRkpGS0YxRjEqJkkiY0dGKEYxRjNGMUYxNyNGLg==

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTNHRigsKiomLChJImFHRigiIiNJImJHRihGMkkiY0dGKCIiIkY1LUkiZkdGKDYjIiIhRjVGNSomLCYqJkkmYWxwaGFHRihGMkYzRjVGNUYxRjVGNS0tLUkjQEBHRiU2JEkiREdGJUYyNiNGN0Y4RjVGNSomLCZGMSNGNSIjNyomRjNGNUY9IiIlRkdGNS0tLUZBNiRGQ0ZKRkRGOEY1RjUqJiwmRjEjRjUiJGckKiZGM0Y1Rj0iIidGUUY1LS0tRkE2JEZDRlRGREY4RjVGNTcjRi4=

JSFH

We know that:

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

KzVJInhHNiItSSJmR0YkNiMiIiEiIiIsJC0tSSJERzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YkNiNGJkYnI0YpIiIjRjMsJC0tLUkjQEBHRi42JEYtRjNGMUYnI0YpIiInIiIkLCQtLS1GODYkRi1GPEYxRicjRikiI0MiIiUsJC0tLUY4NiRGLUZERjFGJyNGKSIkPyIiIiYsJC0tLUY4NiRGLUZMRjFGJyNGKSIkPyhGOywkLS0tRjg2JEYtRjtGMUYnI0YpIiVTXSIiKCwkLS0tRjg2JEYtRmVuRjFGJyNGKSImPy4lIiIpLUkiT0dGLzYjRikiIio=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

therefore:

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTFHRigvLUkkSW50R0YlNiQtSSJmR0YoNiNJInhHRigvRjU7ISIiIiIiLCotRjM2IyIiISIiIy0tLUkjQEBHRiU2JEkiREdGJUY+NiNGM0Y8I0Y5IiIkLS0tRkI2JEZEIiIlRkVGPCNGOSIjZy0tLUZCNiRGRCIiJ0ZFRjwjRjkiJT9ENyNGLg==

JSFH

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LywqLUkiZkc2IjYjIiIhIiIjLS0tSSNAQEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJjYkSSJER0YuRik2I0YlRicjIiIiIiIkLS0tRi02JEYyIiIlRjNGJyNGNSIjZy0tLUYtNiRGMiIiJ0YzRicjRjUiJT9ELCoqJiwoSSJhR0YmRilJImJHRiZGKUkiY0dGJkY1RjVGJEY1RjUqJiwmKiZJJmFscGhhR0YmRilGSUY1RjVGSEY1RjVGKkY1RjUqJiwmRkgjRjUiIzcqJkZJRjVGTkY7RlFGNUY3RjVGNSomLCZGSCNGNSIkZyQqJkZJRjVGTkZCRlZGNUY+RjVGNQ==

Comparing coefficients:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUkjbW5HRiQ2JFEiMEYnL0YzUSdub3JtYWxGJ0Y+Rj4tSSNtb0dGJDYtUSI6RidGPi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRi8lKXN0cmV0Y2h5R0ZGLyUqc3ltbWV0cmljR0ZGLyUobGFyZ2VvcEdGRi8lLm1vdmFibGVsaW1pdHNHRkYvJSdhY2NlbnRHRkYvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZVRj4= 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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkobWZlbmNlZEdGJDYkLUYjNiUtSSNtbkdGJDYkUSI0RicvRjZRJ25vcm1hbEYnRjJGNUZDRjJGNS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictRjs2JC1GIzYkLUZANiRGR0ZDRkNGQy1JI21vR0YkNi1RIjpGJ0ZDLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZULyUpc3RyZXRjaHlHRlQvJSpzeW1tZXRyaWNHRlQvJShsYXJnZW9wR0ZULyUubW92YWJsZWxpbWl0c0dGVC8lJ2FjY2VudEdGVC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRl1vRkM=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkmbWZyYWNHRiQ2KC1GIzYlLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJ2l0YWxpY0dRJXRydWVGJy9GNVEnaXRhbGljRictRiM2JS1GMTYkUSM2MEYnRjRGN0Y6LyUubGluZXRoaWNrbmVzc0dGMy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZFLyUpYmV2ZWxsZWRHUSZmYWxzZUYnLUkjbW9HRiQ2LVEiPUYnRjQvJSZmZW5jZUdGSi8lKnNlcGFyYXRvckdGSi8lKXN0cmV0Y2h5R0ZKLyUqc3ltbWV0cmljR0ZKLyUobGFyZ2VvcEdGSi8lLm1vdmFibGVsaW1pdHNHRkovJSdhY2NlbnRHRkovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0Zpbi1GLDYoLUkjbWlHRiQ2JVEiYUYnRjdGOi1GIzYlLUYxNiRRIzEyRidGNEY3RjpGQUZDRkZGSC1GTDYtUSIrRidGNEZPRlFGU0ZVRldGWUZlbi9GaG5RLDAuMjIyMjIyMmVtRicvRltvRltwLUYsNigtRiM2Ji1GX282JVEiYkYnRjdGOi1GTDYtUScmc2RvdDtGJ0Y0Rk9GUUZTRlVGV0ZZRmVuL0ZoblEmMC4wZW1GJy9GW29GaHAtSSVtc3VwR0YkNiUtRl9vNiVRJyYjOTQ1O0YnL0Y4RkpGNC1GIzYlLUYxNiRRIjRGJ0Y0RjdGOi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGNEZib0ZBRkNGRkZIRjQ=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

Solving those 4 equations for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIixGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRiw2JVEiYkYnRi9GMkY1LUYsNiVRImNGJ0YvRjJGNS1GLDYlUScmIzk0NTtGJy9GMEY9RjlGOQ== we get:

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

PCYvSSJhRzYiJCIrKysrKzUhIzUvSSZhbHBoYUdGJSQiKzZuYFlsRigvSSJiR0YlJCIrV1dXV2FGKC9JImNHRiUkIis2NjY2ckYo

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

JSFH

<Text-field style="Heading 1" layout="Heading 1">Q4</Text-field>

Given the following table which describe the function LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj0tSSNtb0dGJDYtUSI9RidGPS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZULUYsNiVRJHNpbkYnL0YwRkVGPUY1Rj0=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInhGJ0YvRjIvRjNRJ25vcm1hbEYnRj1GPQ==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEkMC43RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi8=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEpMC42NDQyMThGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGLw==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEkMC44RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi8=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEpMC43MTczNTZGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGLw==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEkMC45RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi8=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEpMC43ODMzMjdGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGLw==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEkMS4wRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi8=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEpMC44NDE0NzFGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGLw==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEkMS4xRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi8=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEpMC44OTEyMDdGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGLw==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEkMS4yRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi8=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEpMC45MzIwMzlGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGLw==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEkMS4zRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi8=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEpMC45NjM1NThGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGLw==

Find the first derivative at the point LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjFGJ0Y5Rjk=.

Central differences should be used untill LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUkjbW5HRiQ2JFEiM0YnRjUvRjNRJXRydWVGJy9GNlEnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRjU=

<Text-field style="Heading 2" layout="Heading 2">Solution</Text-field>

JSFH

Writing the derivative of the function, using the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiREYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg== operator:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RJyZzZG90O0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUYsNiVRIkRGJy9GMEY9RjktSShtZmVuY2VkR0YkNiYtRiM2JS1GLDYlUSJmRidGL0YyLUZUNiQtRiM2JC1GLDYlUSJ4RidGL0YyRjlGOUY5RjkvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRictRjY2LVEiPUYnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yNzc3Nzc4ZW1GJy9GTkZmby1GVDYmLUYjNictSSNtbkdGJDYkUSIyRidGOUY1LUklbXN1cEdGJDYlLUYsNiVRJXNpbmhGJ0ZSRjktRiM2Ji1GNjYtUSomdW1pbnVzMDtGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GXHEtRl1wNiRRIjFGJ0Y5Ri9GMi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictRlQ2JC1GIzYkLUkmbWZyYWNHRiQ2KC1GLDYlUScmIzk0ODtGJ0ZSRjktRiM2JUZccEYvRjIvJS5saW5ldGhpY2tuZXNzR0ZgcS8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zkci8lKWJldmVsbGVkR0Y9RjlGOUY5RjlGXG9GX29GNUZYRmVuRjk=

Writing the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEkcmhzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0YzUSdub3JtYWxGJw== series:

LUknc2VyaWVzRyUqcHJvdGVjdGVkRzYlLCQtSShhcmNzaW5oRzYiNiMsJEkmZGVsdGFHRikjIiIiIiIjRi9GLCIiKQ==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

Ky1JJmRlbHRhRzYiIiIiRiUjISIiIiNDIiIkI0YpIiRTJyIiJiMhIiYiJW9yIiIoLUkiT0clKnByb3RlY3RlZEc2I0YlIiIq

PkkkZXExRzYiLUkoY29udmVydEclKnByb3RlY3RlZEc2JCstSSZkZWx0YUdGJCIiIkYrIyEiIiIjQyIiJCNGLyIkUyciIiYjISImIiVvciIiKC1JIk9HRic2I0YrIiIqSShwb2x5bm9tR0Yn

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTFHRigsKkkmZGVsdGFHRigiIiIqJEYvIiIkIyEiIiIjQyokRi8iIiYjRjIiJFMnKiRGLyIiKCMhIiYiJW9yNyNGLg==

First approximation:

Using the known relation: 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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2L1EzJkRvdWJsZVJpZ2h0QXJyb3c7RicvJSVib2xkR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y0LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkgvRjNRJ25vcm1hbEYn 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

writing the series of 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 \342\207\222

KiZJI211RzYiIiIiLUknc2VyaWVzRyUqcHJvdGVjdGVkRzYlKiQsJkYlRiUqJEkmZGVsdGFHRiQiIiMjRiUiIiUjISIiRi5GLSIiKUYl

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

KiZJI211RzYiIiIiKy1JJmRlbHRhR0YkRiUiIiEjISIiIiIpIiIjIyIiJCIkRyIiIiUjISImIiVDNSIiJy1JIk9HJSpwcm90ZWN0ZWRHNiNGJUYrRiU=

PkkkZXEyRzYiLUkoY29udmVydEclKnByb3RlY3RlZEc2JComSSNtdUdGJCIiIistSSZkZWx0YUdGJEYrIiIhIyEiIiIiKSIiIyMiIiQiJEciIiIlIyEiJiIlQzUiIictSSJPR0YnNiNGK0YxRitJKHBvbHlub21HRic=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTJHRigqJkkjbXVHRigiIiIsKkYwRjAqJEkmZGVsdGFHRigiIiMjISIiIiIpKiRGMyIiJSMiIiQiJEciKiRGMyIiJyMhIiYiJUM1RjA3I0Yu

PkkkZXEzRzYiKiZJJGVxMUdGJCIiIkkkZXEyR0YkRic=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTNHRigqKCwqSSZkZWx0YUdGKCIiIiokRjAiIiQjISIiIiNDKiRGMCIiJiNGMyIkUycqJEYwIiIoIyEiJiIlb3JGMUkjbXVHRihGMSwqRjFGMSokRjAiIiMjRjUiIikqJEYwIiIlI0YzIiRHIiokRjAiIicjRj4iJUM1RjE3I0Yu

PkkkZXE0RzYiLyomSSJoR0YkIiIiJkkiREc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjLUkiZkdGJDYjSSJ4R0YkRigtSSVzb3J0R0YsNiQtSSdleHBhbmRHRiw2I0kkZXEzR0YkSStkZXNjZW5kaW5nR0Yk

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTRHRigvKiZJImhHRigiIiImSSJER0YlNiMtSSJmR0YoNiNJInhHRihGMSwwKiZJI211R0YoRjFJJmRlbHRhR0YoRjFGMSomRjtGMUY8IiIkIyEiIiIiJyomRjtGMUY8IiImI0YxIiNJKiZGO0YxRjwiIigjRkAiJFMiKiZGO0YxRjwiIiojIiQqbyIoPy5zIiomRjtGMUY8IiM2IyEiKiIndyRIIyomRjtGMUY8IiM4IyIjRCIoSytNKDcjRi4=

PkkkZXE1RzYiLUklc3Vic0clKnByb3RlY3RlZEc2KC8qJEkmZGVsdGFHRiQiIiYiIiEvKiRGKyIiKEYtLyokRisiIipGLS8qJEYrIiM2Ri0vKiRGKyIjOEYtKiZJJGVxNEdGJCIiIkkiaEdGJCEiIg==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRlcTVHRigvJkkiREdGJTYjLUkiZkdGKDYjSSJ4R0YoKiZJImhHRighIiIsJiomSSNtdUdGKCIiIkkmZGVsdGFHRihGPEY8KiZGO0Y8Rj0iIiQjRjgiIidGPDcjRi4=

LUkkcmhzRyUqcHJvdGVjdGVkRzYjSSRlcTVHNiI=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

KiZJImhHNiIhIiIsJiomSSNtdUdGJCIiIkkmZGVsdGFHRiRGKUYpKiZGKEYpRioiIiQjRiUiIidGKQ==

Knowing that

PkkmZGVsdGFHNiIsJi1JJXN1YnNHJSpwcm90ZWN0ZWRHNiQvSSJ4R0YkLCZGKyIiIkkiaEdGJCNGLSIiIy1JImZHRiQ2I0YrRi0tRic2JC9GKywmRitGLUYuIyEiIkYwRjFGOQ==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSZkZWx0YUdGKCwmLUkiZkdGKDYjLCZJInhHRigiIiJJImhHRigjRjQiIiNGNC1GMDYjLCZGM0Y0RjUjISIiRjdGPDcjRi4=

KihJI211RzYiIiIiSSZkZWx0YUdGJEYlSSJoR0YkISIi

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

KihJI211RzYiIiIiLCYtSSJmR0YkNiMsJkkieEdGJEYlSSJoR0YkI0YlIiIjRiUtRig2IywmRitGJUYsIyEiIkYuRjNGJUYsRjM=

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

LCQqKEkjbXVHNiIiIiJJJmRlbHRhR0YlIiIkSSJoR0YlISIiI0YqIiIn

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LCQqKEkjbXVHNiIiIiIsJi1JImZHRiU2IywmSSJ4R0YlRiZJImhHRiUjRiYiIiNGJi1GKTYjLCZGLEYmRi0jISIiRi9GNCIiJEYtRjQjRjQiIic=

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2L1EzJkRvdWJsZVJpZ2h0QXJyb3c7RicvJSVib2xkR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSVib2xkRicvJStmb250d2VpZ2h0R0Y0LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y5LyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjkvJShsYXJnZW9wR0Y5LyUubW92YWJsZWxpbWl0c0dGOS8lJ2FjY2VudEdGOS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkgtRiw2L1EifkYnRi9GMkY1RjdGOi9GPUY5Rj5GQEZCRkQvRkdRJjAuMGVtRicvRkpGUC9GM1Enbm9ybWFsRic= 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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

PkkjbXVHNiItSSIqRyUqcHJvdGVjdGVkRzYkIyIiIiIiIywmLUklc3Vic0dGJzYkL0kieEdGJCwmRjFGKkkiaEdGJEYpLUkiZkdGJDYjRjFGKi1GLjYkL0YxLCZGMUYqRjMjISIiRitGNEYq

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNtdUdGKCwmLUkiZkdGKDYjLCZJInhHRigiIiJJImhHRigjRjQiIiNGNi1GMDYjLCZGM0Y0RjUjISIiRjdGNjcjRi4=

LCQqKC1JIi9HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IywkSSJoR0YpIiInIiIiSSNtdUdGKUYuLCotSSJmR0YpNiMsJkkieEdGKUYuRiwjIiIkIiIjRi4tRjI2IywmRjVGLkYsI0YuRjghIiQtRjI2IywmRjVGLkYsIyEiIkY4RjctRjI2IywmRjVGLkYsI0Y9RjhGQkYuRkI=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LCQqKCwmLUkiZkc2IjYjLCZJInhHRiciIiJJImhHRicjRisiIiNGLS1GJjYjLCZGKkYrRiwjISIiRi5GLUYrLCotRiY2IywmRipGK0YsIyIiJEYuRitGJSEiJEYvRjktRiY2IywmRipGK0YsI0Y6Ri5GM0YrRixGMyNGMyIiJw==

PkklZl9feEc2Ii8tSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkiZkdGJDYjSSJ4R0YkRi0qJkkiaEdGJCEiIiwqLUYrNiMsJkYtIiIiRi9GNSMiIiMiIiQtRis2IywmRi1GNUYvRjAjISIjRjgtRis2IywmRi1GNUYvRjcjRjAiIzctRis2IywmRi1GNUYvRj0jRjVGQkY1

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSVmX194R0YoLy1JJWRpZmZHRiY2JC1JImZHRig2I0kieEdGKEY1KiZJImhHRighIiIsKi1GMzYjLCZGNSIiIkY3Rj0jIiIjIiIkLUYzNiMsJkY1Rj1GN0Y4IyEiI0ZALUYzNiMsJkY1Rj1GN0Y/I0Y4IiM3LUYzNiMsJkY1Rj1GN0ZFI0Y9RkpGPTcjRi4=

Let set

QyQ+SSJoRzYiJCIiIiEiIkYo

so:

SSVmX194RzYi

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMvLUklZGlmZkdGJjYkLUkiZkdGKDYjSSJ4R0YoRjMsKi1GMTYjLCZGMyIiIiRGOCEiIkY4JCIrbm1tbW0hIiotRjE2IywmRjNGOCRGOkY6RjgkIStubW1tbUY9LUYxNiMsJkYzRjgkIiIjRjpGOCQhK0xMTEwkKSEjNS1GMTYjLCZGM0Y4JCEiI0Y6RjgkIitMTExMJClGS0Yr

We want to find the derivative around

QyQvSSJ4RzYiIiIiISIiso:

Ly1JJGxoc0clKnByb3RlY3RlZEc2I0klZl9feEc2Ii1JJWV2YWxHRiU2JC1JJHJoc0dGJUYmL0kieEdGKCIiIg==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMvLUklZGlmZkdGJjYkLUkiZkdGKDYjSSJ4R0YoRjMsKi1GMTYjJCIjNiEiIiQiK25tbW1tISIqLUYxNiMkIiIqRjkkIStubW1tbUY8LUYxNiMkIiM3RjkkIStMTExMJCkhIzUtRjE2IyQiIilGOSQiK0xMTEwkKUZJRis=

Taking the values from the given table:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRitGK0Yv