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@:::::::4:\"\{\}-%%ROOTG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"&++"F*-%.BOUNDS_HEIGHTG6#$"%?;F*-%)CHILDRENG6"%!G Author: Itamar Bocher 16-Jan-2012 Audit: Omer Yagel 084735 Control Theory Home Assignment #8 JSFH

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYzLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIjpGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC4wZW1GJy8lJmRlcHRoR0ZULyUqbGluZWJyZWFrR1EobmV3bGluZUYnLUZQNiZGUkZVRlgvRmVuUSVhdXRvRictRiw2JVEld2l0aEYnRi9GMi1JKG1mZW5jZWRHRiQ2JC1GIzYjLUYsNiVRL0R5bmFtaWNTeXN0ZW1zRidGL0YyRjlGNS1GLDYjUSFGJ0ZPRmduRltvLUZfbzYkLUYjNiMtRiw2JVEmcGxvdHNGJ0YvRjJGOUY1Rk8tRiw2JVEqaW50ZXJmYWNlRidGL0YyLUZfbzYkLUYjNiUtRiw2JVEsdHlwZXNldHRpbmdGJ0YvRjItRjY2LVEiPUYnRjlGO0Y+RkBGQkZERkZGSEZKRk0tRiw2JVEpZXh0ZW5kZWRGJ0YvRjJGOUY1 print(); # input placeholder Given the following control system: -%'CANVASG6'-%)BOUNDS_XG6#,$-%&FloatG6#%)infinityG!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"%+gF--%.BOUNDS_HEIGHTG6#$"%+OF--%)CHILDRENG6J-%%LINEG6(-%(OUTLINEG6#-%&COLORG6&%$RGBG$""!F-FGFG-%/LINE_END_ARROWG6#Q-filled-arrow6"-%/LINE_THICKNESSG6#$"#5F--%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$FGFG-%'ORIGING6#-%&POINTG6$$"%0RF-$"%I;F--%&SCALEG6#-FZ6$FQFQ-%)ROTATIONG6#FG-%*LINESTYLEG6#FH-%%DATAG6$7$$"%+RF-$"%+IF-7$F_p$"$g#F--F>6(F@FIFN-FT6&FV-Fgn6#-Fjn6$$"%&4%F-$"%+:F-F`oFeoFho-F\p6%7$$"%?CF-$"%5:F-7$$"%gaF-F`q7$$"%qdF-$"%!\"F--F>6'F@FN-FT6&FV-Fgn6#-Fjn6$$"%gKF-$"%!=#F-F`oFeoFho-F\p6$7$$"%?RF-Fgq7$$"%+EF-$"%]GF--%'STROKEG6%F@FN-F\p6hp7$$"%!*QF-$"%!p#F-7$$"%qQF-F_t7$$"%]QF-F_t7$$"%IQF-F_t7$$"%5QF-F_t7$$"%!z$F-$"%!o#F-7$$"%gPF-F`u7$$"%SPF-F`u7$$"%IPF-$"%qEF-7$$"%5PF-$"%gEF-7$$"%!p$F-F`v7$$"%!o$F-$"%SEF-7$$"%gOF-Fhv7$$"%SOF-$"%IEF-7$$"%IOF-$"%?EF-7$$"%5OF-$"%5EF-7$F8Fcs7$$"%!e$F-Fcs7$$"%gNF-$"%!e#F-7$$"%]NF-$"%qDF-7$$"%INF-Fhx7$$"%?NF-$"%gDF-7$$"%+NF-F`y7$$"%![$F-$"%]DF-7$$"%gMF-$"%SDF-7$$"%]MF-$"%IDF-7$$"%?MF-$"%?DF-7$$"%+MF-$"%5DF-7$$"%!Q$F-$"%+DF-7$$"%SLF-$"%!\#F-7$$"%ILF-$"%qCF-7$$"%5LF-$"%gCF-7$$"%!H$F-F`\l7$$"%qKF-$"%SCF-7$Fir$"%ICF-7$$"%]KF-Feq7$$"%?KF-$"%5CF-7$$"%+KF-$"%!R#F-7$$"%!=$F-$"%!Q#F-7$$"%]JF-$"%gBF-7$$"%SJF-$"%]BF-7$$"%+JF-$"%SBF-7$$"%!4$F-$"%IBF-7$$"%!3$F-$"%?BF-7$$"%qIF-$"%5BF-7$$"%gIF-$"%+BF-7$$"%]IF-$"%!H#F-7$$"%SIF-$"%!G#F-7$$"%5IF-$"%gAF-7$Fap$"%]AF-7$$"%!)HF-$"%SAF-7$$"%qHF-$"%IAF-7$$"%gHF-$"%?AF-7$$"%SHF-$"%+AF-7$$"%?HF-$"%g@F-7$$"%5HF-$"%S@F-7$$"%+HF-$"%I@F-7$Fccl$"%+@F-7$$"%!*GF-$"%!4#F-7$$"%qGF-$"%q?F-7$F`dl$"%S?F-7$$"%gGF-$"%I?F-7$Fhdl$"%5?F-7$Fhdl$"%!*>F-7$$"%SGF-$"%!)>F-7$Fcel$"%g>F-7$Fcel$"%S>F-7$$"%IGF-$"%?>F-7$F^fl$"%!*=F-7$$"%5GF-$"%!)=F-7$$"%+GF-$"%g=F-7$F[gl$"%S=F-7$F[gl$"%?=F-7$$"%!z#F-$"%5=F-7$$"%!y#F-$"%+=F-7$$"%qFF-$"%!z"F-7$F`hl$"%q<F-7$$"%gFF-$"%]<F-7$$"%]FF-$"%S<F-7$F]il$"%?<F-7$$"%SFF-$"%5<F-7$Feil$"%!p"F-7$Feil$"%q;F-7$Feil$"%];F-7$$"%IFF-F^o7$Fcjl$"%5;F-7$Fcjl$"%!f"F-7$Fcjl$"%q:F-7$Fcjl$"%]:F-7$$"%?FF-$"%S:F-7$$"%5FF-$"%?:F-Ff[m-Fhs6%-FA6#-FD6&FFFQFGFG-FO6#$"#?F--F\p6\[l7$F_pFi[m7$$"%!)QF-Fgq7$FbtF`q7$$"%gQF-F_r7$Fet$"%!["F-7$$"%?QF-$"%g9F-7$$"%+QF-Fe]m7$F^u$"%]9F-7$$"%!y$F-$"%I9F-7$$"%qPF-$"%?9F-7$Fcu$"%59F-7$Ffu$"%+9F-7$Fiu$"%!R"F-7$F^v$"%!Q"F-7$$"%+PF-$"%q8F-7$Fcv$"%g8F-7$Ffv$"%]8F-7$$"%qOF-$"%S8F-7$$"%]OF-Fa`m7$F^w$"%I8F-7$$"%?OF-Fg`m7$F8$"%58F-7$F^xF]am7$FaxF]am7$$"%SNF-F]am7$F^y$"%+8F-7$$"%!\$F-$"%!H"F-7$$"%qMF-Fjam7$F`z$"%!G"F-7$$"%IMF-F`bm7$$"%5MF-$"%q7F-7$F_[lFhbm7$$"%]LF-Fhbm7$$"%?LF-Fhbm7$$"%+LF-Fhbm7$$"%!G$F-Fhbm7$FirF`bm7$$"%SKF-F`bm7$Fa]lFjam7$$"%5KF-F]am7$Ff]l$"%?8F-7$F[^lFg`m7$F[^lF\`m7$$"%qJF-Fi_m7$$"%gJF-Ff_m7$F`^lFa_m7$F`^lF[_m7$Fe^lFh^m7$$"%IJF-Fe^m7$F^em$"%S9F-7$F^emFe]m7$Fj^lF`]m7$Fj^lF`q7$Fj^lFi[m7$F__l$"%I:F-7$F__lF_[m7$F__lF\[m7$Fd_l$"%!e"F-7$Fd_l$"%+;F-7$Fi_lFfjl7$Fi_lF^o7$Fi_l$"%g;F-7$Fi_lFjil7$F^`l$"%+<F-7$F^`lFbil7$F^`lFjhl7$Fh`l$"%!y"F-7$Fh`lFhgl7$Fh`lF`gl7$Fh`lF]gl7$Fh`lFhfl7$Fh`l$"%+>F-7$Fh`lF`fl7$Fh`lF[fl7$Fh`lFhel7$Fh`lF`el7$Fh`lF]el7$Fh`lFjdl7$Fh`l$"%]?F-7$Fh`l$"%!3#F-7$Fc`lF]dl7$Fc`l$"%5@F-7$Fc`lFecl7$F^`l$"%]@F-7$Fi_lF[cl7$Fi_lF[s7$Fi_lFfbl7$Fd_l$"%5AF-7$Fd_lF\bl7$Fd_lF_al7$Fd_lFj`l7$Fd_lF``lFc_l7$Fd_lFg^l7$F__l$"%qBF-7$F__lFh]l7$Fj^l$"%+CF-7$$"%5JF-Fc]l7$F^jmF[]l7$$"%?JF-$"%]CF-7$FbjmF[\l7$F^emFf[l7$F`^lFf[l7$FhdmFa[l7$FedmF\[l7$F[^lFgz7$$"%!>$F-Fbz7$Ff]lF]z7$F]dmFhy7$Fa]lFhx7$$"%IKF-$"%!f#F-7$FicmFcs7$F^]lFjw7$FirFew7$Ff\lF`w7$FecmFhv7$Fc\l$"%]EF-7$FbcmF[v7$F_cmF[v7$F_cmF_t7$Fd[l$"%+FF-7$$"%qLF-Fb[m7$$"%!R$F-Fcjl7$FjzFeil7$FezF]il7$F`zFhhl7$F[zF`hl7$FfyF[hl7$FcyFfgl7$F^yFfgl7$F[yF[gl7$FaxFffl7$$"%qNF-$"%?GF-7$$"%!f$F-Fg]n7$FhwF^fl7$F^wF^fl7$Fd`mFcel7$F[wFes7$FfvFes7$F^vFes7$$"%?PF-Fhdl7$FfuFhdl7$FcuFhdl7$F^^mFhdl7$Fh]mFhdl7$Fc]mFhdl7$$"%SQF-Fhdl7$F]]mF`dl7$Fi\mF`dl7$F_pF`dl7$F`sF`dl7$$"%SRF-F`dl7$$"%gRF-F`dl7$$"%!)RF-F`dl7$$"%+SF-F`dl7$$"%ISF-F`dl7$$"%gSF-F`dl7$$"%!3%F-F`dl7$$"%+TF-F`dl7$$"%?TF-F`dl7$$"%STF-F`dl7$$"%qTF-F`dl7$$"%!>%F-F`dl7$$"%?UF-F`dl7$$"%]UF-F`dl7$$"%qUF-F`dl7$$"%!H%F-F`dl7$$"%5VF-F`dl7$$"%SVF-F`dl7$$"%qVF-F`dl7$$"%!R%F-Fhdl7$$"%5WF-Fhdl7$$"%IWF-Fes7$$"%gWF-Fes7$$"%qWF-Fcel7$$"%!\%F-Fcel7$$"%5XF-Fcel7$$"%?XF-F^fl7$$"%]XF-Fg]n7$$"%qXF-Fffl7$$"%+YF-F[gl7$$"%?YF-F[gl7$$"%IYF-F[hl7$$"%]YF-F`hl7$$"%qYF-F`hl7$$"%!p%F-F`hl7$$"%5ZF-F]il7$$"%?ZF-Feil7$$"%]ZF-Fb[m7$$"%qZF-Fg[m7$$"%!y%F-Fc\n7$$"%5[F-F_t7$$"%?[F-F`u7$$"%][F-F`v7$$"%!)[F-F`v7$$"%+\F-Fhv7$$"%5\F-F`w7$$"%I\F-F`w7$$"%]\F-Few7$$"%!)\F-Fcs7$$"%+]F-Fcx7$$"%?]F-Fhx7$$"%S]F-Fhy7$$"%g]F-Fhy7$$"%q]F-F]z7$$"%!3&F-Fbz7$$"%!4&F-Fa[l7$$"%5^F-Ff[l7$FjinF[\l7$$"%I^F-F`\l7$F^jnFh\l7$$"%S^F-F[]l7$$"%]^F-Feq7$$"%q^F-F[jm7$$"%!=&F-Fgim7$$"%!>&F-Fb^l7$F^[oF\_l7$$"%+_F-Fa_l7$$"%5_F-F[`l7$Fe[oFe`l7$$"%?_F-$"%qAF-7$$"%I_F-F_al7$F^\oFgal7$F^\oF_im7$$"%S_F-Ffbl7$$"%]_F-$"%q@F-7$Ff\oFihm7$Ff\oFecl7$$"%g_F-$"%?@F-7$F]]oFhcl7$F]]oFahm7$$"%q_F-Fbdl7$Fd]oF^hm7$Fd]oFjdl7$$"%!G&F-F]el7$Fi]oF`el7$$"%!H&F-Fhel7$F]^oF[fl7$$"%+`F-F`fl7$Fa^oFegm7$$"%5`F-Fcfl7$$"%?`F-F]gl7$Fh^o$"%I=F-7$Fh^oFhgl7$Fh^oFbhl7$Fh^oFehl7$Fh^oF_il7$Fh^oFgil7$Fh^o$"%!o"F-7$Fh^oF`jl7$Fh^o$"%?;F-7$Fh^oF`fm7$Fh^oF]fm7$Fh^o$"%g:F-7$Fh^oFd[mF^`o-Fhs6%F@FN-F\p6$7$Fe^oFgqFc`o-Fhs6%F@FN-F\p6$7$Fe^oFd[mFh`o-Fhs6%F@FN-F\p627$FcwFi[m7$Fj`mFhem7$Fj`mF_[m7$Fj`mF\[m7$Fj`mFijl7$Fj`mFfjl7$Fj`mF^o7$Fcw$"%S;F-7$F^wFefm7$F[wF]jl7$FfvF]jl7$FcvFc_o7$F^vFc_o7$FiuFc_o7$FcuFjilF]bo-F>6(F@-FJ6#Q*vee-arrowFMFN-FT6&FV-Fgn6#-Fjn6$$"$q$F-$"$0'F-F`oFeoFho-F\p6$7$$"$5"F-$"$+'F-7$$"$I'F-$"$5'F--F>6(F@F`boFN-FT6&FV-Fgn6#-Fjn6$Fhbm$"$:'F-F`oFeoFho-F\p6$7$$"%55F-Fgco7$Fhem$"$?'F--F>6(F@F`boFN-FT6&FV-Fgn6#-Fjn6$F\_lFadoF`oFeoFho-F\p6$7$FahmFgco7$FcsFido-%%OVALG6'F@FN-FT6&FV-Fgn6#-Fjn6$$"$!yF-FbcoF`oFeoFho-F\p6%7$Fido$"$I%F-7$$"$?$F-$"$S$F-%'CLOSEDG-%*RECTANGLEG6'F@FN-FT6&FV-Fgn6#-Fjn6$FcglFadoF`oFeoFho-F\p6%7$F_[mFjfo7$$"$S&F-$"$]&F-F\go-F>6(F@F`boFN-FT6&FV-Fgn6#-Fjn6$Fgq$"$b*F-F`oFeoFho-F\p6&7$F[`lFido7$F``lFjam7$$"$5(F-Fjam7$$"$?(F-$"$+)F--F>6'F@FN-FT6&FV-Fgn6#-Fjn6$$"$&yF-F[coF`oFeoFho-F\p6$7$$"$g'F-$"$I(F-7$$"$5*F-$"$![F--F>6'F@FN-FT6&FV-Fgn6#-Fjn6$$"$&zF-FgcoF`oFeoFho-F\p6$7$$"$]'F-$"$5&F-7$$"$S*F-F]io-%/TEXT_CONTAINERG6(FN-FT6&FV-Fgn6#-Fjn6$$"$!*)F-$"$l)F-F`oFeo-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTGF]]p-F\p6%7$$"$!zF-$"$](F-7$$"$+#F-$"$I#F-F\go-%*PARAGRAPHG6#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FM-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$$"$!fF-$"$N%F-F`oFeoF[]pF_]p-F\p6%7$$"$!\F-FhfoFh]pF\go-F^^p6#Q[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-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$$"%l=F-$"$q'F-F`oFeoF[]pF_]p-F\p6%7$F\`o$"$+&F-7$FgcoFjfoF\go-F^^p6#Q[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-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$$"%DEF-$"$I&F-F`oFeoF[]pF_]p-F\p6%7$Fh\lFibo7$FiboFhfoF\go-F^^p6#Q[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-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$$"$0$F-F\hoF`oFeoF[]pF_]p-F\p6%7$$"$?"F-$"$!RF-FiapF\go-F^^p6#Q[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-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$$"%vSF-$"$5#F-F`oFeoF[]pF_]p-F\p6%7$$"%5RF-$"#!*F-7$$"$I$F-$"$S#F-F\go-F^^p6#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FM-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$$"%:dF-F_ilF`oFeoF[]pF_]p-F\p6%7$$"%]bF-Fg_oFddpF\go-F^^p6#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FM-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$F^cn$"%X6F-F`oFeoF[]pF_]p-F\p6%7$$"%ITF-F\\p7$$"$g&F-$"$5%F-F\go-F^^p6#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FM-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$$"%DMF-$"$S)F-F`oFeoF[]pF_]p-F\p6%7$FjalFi^p7$FfjoFd`pF\go-F^^p6#Q[i]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-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$$"%b>F-$"%N=F-F`oFeoF[]pF_]p-F\p6%7$F`qFfjl7$Ffjo$"$]%F-F\go-F^^p6#Q[i]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-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$$"%XHF-Fc`lF`oFeoF[]pF_]p-F\p6%7$Ff[lF^fl7$Ffjo$"$S%F-F\go-F^^p6#Qch]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FM-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$$"%b[F-$"%vKF-F`oFeoF[]pF_]p-F\p6%7$$"%+WF-Fjal7$FfjoFgcoF\go-F^^p6#Q[i]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-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$$"%0bF-$"%&>"F-F`oFeoF[]pF_]p-F\p6%7$$"%]]F-Fg\pFa\qF\go-F^^p6#Qgg]lCjxUZXh0LWZpZWxkIHN1cGVyc2NyaXB0PSJmYWxzZSIgcGxhY2Vob2xkZXI9ImZhbHNlIiBleGVjdXRhYmxlPSJmYWxzZSIgc2VsZWN0aW9uLXBsYWNlaG9sZGVyPSJmYWxzZSIgaXRhbGljPSJmYWxzZSIgc2l6ZT0iMTIiIGJvbGQ9ImZhbHNlIiBzdWJzY3JpcHQ9ImZhbHNlIiBmYW1pbHk9IlRpbWVzIE5ldyBSb21hbiIgb3BhcXVlPSJmYWxzZSIgdW5kZXJsaW5lPSJmYWxzZSIgYmFja2dyb3VuZD0iWzI1NSwyNTUsMjU1XSIgcmVhZG9ubHk9ImZhbHNlIiBmb3JlZ3JvdW5kPSJbMCwwLDBdIiBhbGlnbm1lbnQ9ImxlZnQiIGZpcnN0aW5kZW50PSIwIiBzcGFjZWJlbG93PSIwIiBsZWZ0bWFyZ2luPSIwIiBsaW5lc3BhY2luZz0iMC4wIiBpbml0aWFsPSIwIiBsaW5lYnJlYWs9InNwYWNlIiByaWdodG1hcmdpbj0iMCIgYnVsbGV0c3VmZml4PSIiIHNwYWNlYWJvdmU9IjAiIGJ1bGxldD0ibm9uZSIgcGFnZWJyZWFrLWJlZm9yZT0iZmFsc2UiPjxFcXVhdGlvbiBleGVjdXRhYmxlPSJmYWxzZSIgaW5wdXQtZXF1YXRpb249IiIgZGlzcGxheT0iTFVrbGJYSnZkMGMySXk5SksyMXZaSFZzWlc1aGJXVkhOaUpKTEZSNWNHVnpaWFIwYVc1blIwa29YM041YzJ4cFlrZEdKelk1TFVrbGJYTjFZa2RHSkRZbUxVa2piV2xIUmlRMk5sRW5KaU01TmprN1JpY3ZKU2RtWVcxcGJIbEhVVEJVYVcxbGMzNU9aWGQrVW05dFlXNUdKeThsSlhOcGVtVkhVU014TWtZbkx5VWxZbTlzWkVkUkpYUnlkV1ZHSnk4bEoybDBZV3hwWTBkUkptWmhiSE5sUmljdkpTcDFibVJsY214cGJtVkhSajB2SlNwemRXSnpZM0pwY0hSSFJqMHZKU3h6ZFhCbGNuTmpjbWx3ZEVkR1BTOGxLMlp2Y21WbmNtOTFibVJIVVNoYk1Dd3dMREJkUmljdkpTdGlZV05yWjNKdmRXNWtSMUV1V3pJMU5Td3lOVFVzTWpVMVhVWW5MeVVuYjNCaGNYVmxSMFk5THlVclpYaGxZM1YwWVdKc1pVZEdQUzhsS1hKbFlXUnZibXg1UjBZOUx5VXBZMjl0Y0c5elpXUkhSajB2SlNwamIyNTJaWEowWldSSFJqMHZKU3RwYlhObGJHVmpkR1ZrUjBZOUx5VXNjR3hoWTJWb2IyeGtaWEpIUmowdkpUWnpaV3hsWTNScGIyNHRjR3hoWTJWb2IyeGtaWEpIUmowdkpTeHRZWFJvZG1GeWFXRnVkRWRSSldKdmJHUkdKeThsSzJadmJuUjNaV2xuYUhSSFJtWnVMVVlqTmpZdFNTTnRia2RHSkRZMlVTSXhSaWRHTWtZMVJqaEdPMFkrUmtCR1FrWkVSa2RHU2taTVJrNUdVRVpTUmxSR1ZrWllSbHBHWjI1R01rWTFSamd2Ump4R09rWStSa0JHUWtaRVJrZEdTa1pNUms1R1VFWlNSbFJHVmtaWUwwWmxibEVzWW05c1pDMXBkR0ZzYVdOR0owWm5iaThsTDNOMVluTmpjbWx3ZEhOb2FXWjBSMUVpTUVZblJsWXRTU050YjBkR0pEWS9VU0k5UmlkR01rWTFSamhHTzBZK1JrQkdRa1pFUmtkR1NrWk1SazVHVUVaU1JsUkdWa1pZUmxwR1oyNHZKU1ptWlc1alpVZEdQUzhsS25ObGNHRnlZWFJ2Y2tkR1BTOGxLWE4wY21WMFkyaDVSMFk5THlVcWMzbHRiV1YwY21salIwWTlMeVVvYkdGeVoyVnZjRWRHUFM4bExtMXZkbUZpYkdWc2FXMXBkSE5IUmowdkpTZGhZMk5sYm5SSFJqMHZKU2RzYzNCaFkyVkhVU3d3TGpJM056YzNOemhsYlVZbkx5VW5jbk53WVdObFIwWnBjQzFHWEc4Mk5rWmtiMFl5UmpWR09FWTdSajVHUUVaQ1JrUkdSMFpLUmt4R1RrWlFSbEpHVkVaV1JsaEdXa1puYmkxSkptMW1jbUZqUjBZa05pb3RSaU0yTmkxR0x6WTJVU1J5WVdSR0owWXlSalZHT0VaZmIwWStSa0JHUWtaRVJrZEdTa1pNUms1R1VFWlNSbFJHVmtaWVJtQnZSbWR1UmpKR05VWTRSanRHUGtaQVJrSkdSRVpIUmtwR1RFWk9SbEJHVWtaVVJsWkdXRVphUm1kdUxVWWpOall0Umk4Mk5sRWtjMlZqUmlkR01rWTFSamhHTzBZK1JrQkdRa1pFUmtkR1NrWk1SazVHVUVaU1JsUkdWa1pZUmxwR1oyNUdNa1kxUmpoR1gyOUdQa1pBUmtKR1JFWkhSa3BHVEVaT1JsQkdVa1pVUmxaR1dFWmdiMFpuYmk4bExteHBibVYwYUdsamEyNWxjM05IUmw1dkx5VXJaR1Z1YjIxaGJHbG5ia2RSSjJObGJuUmxja1luTHlVcGJuVnRZV3hwWjI1SFJsOXlMeVVwWW1WMlpXeHNaV1JIUmoxR1JFWkhSakpHTlVZNFJqdEdQa1pBUmtKR1JFWkhSa3BHVEVaT1JsQkdVa1pVUmxaR1dFWmFSbWR1Ij5MVWtsYlhKdmQwYzJJeTlKSzIxdlpIVnNaVzVoYldWSE5pSkpMRlI1Y0dWelpYUjBhVzVuUjBrb1gzTjVjMnhwWWtkR0p6WTVMVWtsYlhOMVlrZEdKRFltTFVramJXbEhSaVEyTmxFbkppTTVOams3UmljdkpTZG1ZVzFwYkhsSFVUQlVhVzFsYzM1T1pYZCtVbTl0WVc1R0p5OGxKWE5wZW1WSFVTTXhNa1luTHlVbFltOXNaRWRSSlhSeWRXVkdKeThsSjJsMFlXeHBZMGRSSm1aaGJITmxSaWN2SlNwMWJtUmxjbXhwYm1WSFJqMHZKU3B6ZFdKelkzSnBjSFJIUmowdkpTeHpkWEJsY25OamNtbHdkRWRHUFM4bEsyWnZjbVZuY205MWJtUkhVU2hiTUN3d0xEQmRSaWN2SlN0aVlXTnJaM0p2ZFc1a1IxRXVXekkxTlN3eU5UVXNNalUxWFVZbkx5VW5iM0JoY1hWbFIwWTlMeVVyWlhobFkzVjBZV0pzWlVkR1BTOGxLWEpsWVdSdmJteDVSMFk5THlVcFkyOXRjRzl6WldSSFJqMHZKU3BqYjI1MlpYSjBaV1JIUmowdkpTdHBiWE5sYkdWamRHVmtSMFk5THlVc2NHeGhZMlZvYjJ4a1pYSkhSajB2SlRaelpXeGxZM1JwYjI0dGNHeGhZMlZvYjJ4a1pYSkhSajB2SlN4dFlYUm9kbUZ5YVdGdWRFZFJKV0p2YkdSR0p5OGxLMlp2Ym5SM1pXbG5hSFJIUm1adUxVWWpOall0U1NOdGJrZEdKRFkyVVNJeFJpZEdNa1kxUmpoR08wWStSa0JHUWtaRVJrZEdTa1pNUms1R1VFWlNSbFJHVmtaWVJscEdaMjVHTWtZMVJqZ3ZSanhHT2tZK1JrQkdRa1pFUmtkR1NrWk1SazVHVUVaU1JsUkdWa1pZTDBabGJsRXNZbTlzWkMxcGRHRnNhV05HSjBabmJpOGxMM04xWW5OamNtbHdkSE5vYVdaMFIxRWlNRVluUmxZdFNTTnRiMGRHSkRZL1VTSTlSaWRHTWtZMVJqaEdPMFkrUmtCR1FrWkVSa2RHU2taTVJrNUdVRVpTUmxSR1ZrWllSbHBHWjI0dkpTWm1aVzVqWlVkR1BTOGxLbk5sY0dGeVlYUnZja2RHUFM4bEtYTjBjbVYwWTJoNVIwWTlMeVVxYzNsdGJXVjBjbWxqUjBZOUx5VW9iR0Z5WjJWdmNFZEdQUzhsTG0xdmRtRmliR1ZzYVcxcGRITkhSajB2SlNkaFkyTmxiblJIUmowdkpTZHNjM0JoWTJWSFVTd3dMakkzTnpjM056aGxiVVluTHlVbmNuTndZV05sUjBacGNDMUdYRzgyTmtaa2IwWXlSalZHT0VZN1JqNUdRRVpDUmtSR1IwWktSa3hHVGtaUVJsSkdWRVpXUmxoR1drWm5iaTFKSm0xbWNtRmpSMFlrTmlvdFJpTTJOaTFHTHpZMlVTUnlZV1JHSjBZeVJqVkdPRVpmYjBZK1JrQkdRa1pFUmtkR1NrWk1SazVHVUVaU1JsUkdWa1pZUm1CdlJtZHVSakpHTlVZNFJqdEdQa1pBUmtKR1JFWkhSa3BHVEVaT1JsQkdVa1pVUmxaR1dFWmFSbWR1TFVZak5qWXRSaTgyTmxFa2MyVmpSaWRHTWtZMVJqaEdPMFkrUmtCR1FrWkVSa2RHU2taTVJrNUdVRVpTUmxSR1ZrWllSbHBHWjI1R01rWTFSamhHWDI5R1BrWkFSa0pHUkVaSFJrcEdURVpPUmxCR1VrWlVSbFpHV0VaZ2IwWm5iaThsTG14cGJtVjBhR2xqYTI1bGMzTkhSbDV2THlVclpHVnViMjFoYkdsbmJrZFJKMk5sYm5SbGNrWW5MeVVwYm5WdFlXeHBaMjVIUmw5eUx5VXBZbVYyWld4c1pXUkhSajFHUkVaSFJqSkdOVVk0Ump0R1BrWkFSa0pHUkVaSFJrcEdURVpPUmxCR1VrWlVSbFpHV0VaYVJtZHU8L0VxdWF0aW9uPjwvVGV4dC1maWVsZD4=FM-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$Fg[m$"%D9F-F`oFeoF[]pF_]p-F\p6%7$F]zF`dm7$FjfoF[dpF\go-F^^p6#Qg[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FM-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$Fi_l$"%b9F-F`oFeoF[]pF_]p-F\p6%7$FcclF\`mFf^qF\go-F^^p6#Qc`tCjxUZXh0LWZpZWxkIHN1cGVyc2NyaXB0PSJmYWxzZSIgcGxhY2Vob2xkZXI9ImZhbHNlIiBleGVjdXRhYmxlPSJmYWxzZSIgc2VsZWN0aW9uLXBsYWNlaG9sZGVyPSJmYWxzZSIgaXRhbGljPSJmYWxzZSIgc2l6ZT0iMTIiIGJvbGQ9ImZhbHNlIiBzdWJzY3JpcHQ9ImZhbHNlIiBmYW1pbHk9IlRpbWVzIE5ldyBSb21hbiIgb3BhcXVlPSJmYWxzZSIgdW5kZXJsaW5lPSJmYWxzZSIgYmFja2dyb3VuZD0iWzI1NSwyNTUsMjU1XSIgcmVhZG9ubHk9ImZhbHNlIiBmb3JlZ3JvdW5kPSJbMCwwLDBdIiBhbGlnbm1lbnQ9ImxlZnQiIGZpcnN0aW5kZW50PSIwIiBzcGFjZWJlbG93PSIwIiBsZWZ0bWFyZ2luPSIwIiBsaW5lc3BhY2luZz0iMC4wIiBpbml0aWFsPSIwIiBsaW5lYnJlYWs9InNwYWNlIiByaWdodG1hcmdpbj0iMCIgYnVsbGV0c3VmZml4PSIiIHNwYWNlYWJvdmU9IjAiIGJ1bGxldD0ibm9uZSIgcGFnZWJyZWFrLWJlZm9yZT0iZmFsc2UiPjxFcXVhdGlvbiBleGVjdXRhYmxlPSJmYWxzZSIgaW5wdXQtZXF1YXRpb249IiIgZGlzcGxheT0iTFVrbGJYSnZkMGMySXk5SksyMXZaSFZzWlc1aGJXVkhOaUpKTEZSNWNHVnpaWFIwYVc1blIwa29YM041YzJ4cFlrZEdKelkyTFVramJXNUhSaVEyTmxFa01DNDNSaWN2SlNkbVlXMXBiSGxIVVRCVWFXMWxjMzVPWlhkK1VtOXRZVzVHSnk4bEpYTnBlbVZIVVNNeE1rWW5MeVVsWW05c1pFZFJKWFJ5ZFdWR0p5OGxKMmwwWVd4cFkwZFJKbVpoYkhObFJpY3ZKU3AxYm1SbGNteHBibVZIUmpvdkpTcHpkV0p6WTNKcGNIUkhSam92SlN4emRYQmxjbk5qY21sd2RFZEdPaThsSzJadmNtVm5jbTkxYm1SSFVTaGJNQ3d3TERCZFJpY3ZKU3RpWVdOclozSnZkVzVrUjFFdVd6STFOU3d5TlRVc01qVTFYVVluTHlVbmIzQmhjWFZsUjBZNkx5VXJaWGhsWTNWMFlXSnNaVWRHT2k4bEtYSmxZV1J2Ym14NVIwWTZMeVVwWTI5dGNHOXpaV1JIUmpvdkpTcGpiMjUyWlhKMFpXUkhSam92SlN0cGJYTmxiR1ZqZEdWa1IwWTZMeVVzY0d4aFkyVm9iMnhrWlhKSFJqb3ZKVFp6Wld4bFkzUnBiMjR0Y0d4aFkyVm9iMnhrWlhKSFJqb3ZKU3h0WVhSb2RtRnlhV0Z1ZEVkUkpXSnZiR1JHSnk4bEsyWnZiblIzWldsbmFIUkhSbGxHTDBZeVJqVkdPRVk3UmoxR1AwWkJSa1JHUjBaSlJrdEdUVVpQUmxGR1UwWlZSbGRHV2c9PSI+TFVrbGJYSnZkMGMySXk5SksyMXZaSFZzWlc1aGJXVkhOaUpKTEZSNWNHVnpaWFIwYVc1blIwa29YM041YzJ4cFlrZEdKelkyTFVramJXNUhSaVEyTmxFa01DNDNSaWN2SlNkbVlXMXBiSGxIVVRCVWFXMWxjMzVPWlhkK1VtOXRZVzVHSnk4bEpYTnBlbVZIVVNNeE1rWW5MeVVsWW05c1pFZFJKWFJ5ZFdWR0p5OGxKMmwwWVd4cFkwZFJKbVpoYkhObFJpY3ZKU3AxYm1SbGNteHBibVZIUmpvdkpTcHpkV0p6WTNKcGNIUkhSam92SlN4emRYQmxjbk5qY21sd2RFZEdPaThsSzJadmNtVm5jbTkxYm1SSFVTaGJNQ3d3TERCZFJpY3ZKU3RpWVdOclozSnZkVzVrUjFFdVd6STFOU3d5TlRVc01qVTFYVVluTHlVbmIzQmhjWFZsUjBZNkx5VXJaWGhsWTNWMFlXSnNaVWRHT2k4bEtYSmxZV1J2Ym14NVIwWTZMeVVwWTI5dGNHOXpaV1JIUmpvdkpTcGpiMjUyWlhKMFpXUkhSam92SlN0cGJYTmxiR1ZqZEdWa1IwWTZMeVVzY0d4aFkyVm9iMnhrWlhKSFJqb3ZKVFp6Wld4bFkzUnBiMjR0Y0d4aFkyVm9iMnhrWlhKSFJqb3ZKU3h0WVhSb2RtRnlhV0Z1ZEVkUkpXSnZiR1JHSnk4bEsyWnZiblIzWldsbmFIUkhSbGxHTDBZeVJqVkdPRVk3UmoxR1AwWkJSa1JHUjBaSlJrdEdUVVpQUmxGR1UwWlZSbGRHV2c9PTwvRXF1YXRpb24+PC9UZXh0LWZpZWxkPg==FM-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$F[[o$"%b;F-F`oFeoF[]pF_]pFc^qFg^q-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$Fh^o$"%D;F-F`oFeoF[]pF_]p-F\p6%7$FejnFi[mFf^qF\go-F^^p6#Qg_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FM-F_\p6(FN-FT6&FV-Fgn6#-Fjn6$F^y$"%v;F-F`oFeoF[]pF_]p-F\p6%7$F\cmF\[mFf^qF\go-F^^p6#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FM-F>6(F@F`boFN-FT6&FV-Fgn6#-Fjn6$$"%XLF-FffpF`oFeoFho-F\p6$7$Fi[l$"$!**F-7$$"%gLF-Feam-F>6(F@F`boFN-FT6&FV-Fgn6#-Fjn6$F_tFb`qF`oFeoFho-F\p6$7$F__lFi[m7$Fe`lFbhl-F>6(F@F`boFN-FT6&FV-Fgn6#-Fjn6$Fh`lFcsF`oFeoFho-F\p6$7$Fd_lFb^l7$FapFcel-F>6(F@F`boFN-FT6&FV-Fgn6#-Fjn6$$"%bTF-$"%&)HF-F`oFeoFho-F\p6$7$F_p$"%!)GF-7$F^cnF__l-F>6(F@F`boFN-FT6&FV-Fgn6#-Fjn6$$"%]`F-F`dmF`oFeoFho-F\p6$7$Fh^oF[^m7$$"%!Q&F-$"%!>"F--Fhs6%F]\mFa\m-F\p6$7$$"%+[F-FbdlFfgq JSFH

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder In the figure above, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEjS0dGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJzRidGL0YyL0YzUSdub3JtYWxGJ0Y9Rj0= is stable, str. proper and min phase. The figure above describe the Nyquist curve for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5Rjk=. Does the system stable in closed loop for the following LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= ?

First, we will write all the data we can get from the figure above: The phase transition Frequency: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2I1EtYCZvbWVnYTtfX2NgRictSSNtb0dGJDYtUSI9RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkctRiw2I1EtYCZvbWVnYTtfXzRgRidGLy1JI21uR0YkNiRRIjZGJ0YzLUYwNi1RIn5GJ0YzRjZGOUY7Rj1GP0ZBRkMvRkZRJjAuMGVtRicvRklGVUYz LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1ExYCZvbWVnYTtfXyZwaGk7YEYnLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUYsNiNRLWAmb21lZ2E7X18zYEYnRi8tSSNtbkdGJDYkUSIxRidGM0Yz LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnJiM5NjY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIj1GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS1JI21uR0YkNiRRIzYwRidGMkYy We can see that for the Nyquist curve there are no rounder around LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSIxRidGL0Yv and therefore, the system is stable. The crossing point is LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSQwLjdGJ0YvRi8=. There is a surplus Gain, Hence - the system is stable.

JSFHJSFHJSFH For the entrance of 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 , what is the steady state error of the closed loop system?LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

From the given data, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EnYFJfXzBgRictSSNtb0dGJDYtUSomY29sb25lcTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRy1JI21uR0YkNiRRIjJGJ0YzLUYwNi1RIjpGJ0YzRjZGOUY7Rj1GP0ZBRkNGRUZI Because the system crosses the real axis at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEiNUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yv and not at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEoJmluZmluO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8=, we will assume the system does not pole in the origin. Also, the system is a single feedback system, Therefore, the system is Type LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEiMEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yv. JSFH 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder The error of the closed loop system: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EoYGVfX3NzYEYn

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

IyIiIiIiJA==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= What is the gain change (in db) that we have to make in order to get 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?JSFH

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+LUkkS0dIR0YoNiMqJl4jIiIiRjJJKyZvbWVnYTtfX2NHRihGMiQiIighIiI3I0Y0

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

L0kla19fZ0c2IiQiK0g5ZEc5ISIq

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnYXNzaWduRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2I1EhRictSShtYWN0aW9uR0YkNiUtSSptdmVyYmF0aW1HRiQ2I1E2L0kla19fZ0c2IiQiK0g5ZEc5ISIqRicvJSthY3Rpb250eXBlR1E7bWFwbGVzb2Z0LmNvbTpsYWJlbChMODczNClGJy8lJXZpZXdHUSZsYWJlbEYnRjovRjNRJ25vcm1hbEYn We will find the value of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EnYGtfX2dgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn in db: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNHTUdGKCQiKysjUiEpNCQhIio3I0Yu

The demand is LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder , so: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSomRGVsdGE7R01HRigkIisrMyc+IUghIio3I0Yu

The result is in db.

JSFH We raise the system gain until the system is on the verge of stability, now we enter the Heaviside 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. The closed loop reaction, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYkLUYsNiVRInRGJ0YvRjIvRjNRJ25vcm1hbEYnRj1GPQ==, is un-damped harmonic oscillation. Find the oscillation frequency.JSFH

When we on the verge of stability - LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjR01GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSgmc3JhcnI7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSIwRidGOUY5. We know that the reaction is un-damped - LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnJiM5NTA7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RKCZzcmFycjtGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1JI21uR0YkNiRRIjBGJ0YyRjI=. From here we can assume that we are on the real axis. We will find the cross of the curve with the real axis, when LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjR01GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSI9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSIwRidGOUY5. Hence, the oscillation Frequent stay the same: 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

JSFH

JSFH

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 print(); # input placeholder Given the following system: -%'CANVASG6'-%)BOUNDS_XG6#,$-%&FloatG6#%)infinityG!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"%StF--%.BOUNDS_HEIGHTG6#$"%SNF--%)CHILDRENG6T-%%OVALG6'-%(OUTLINEG6#-%&COLORG6&%$RGBG$""!F-FGFG-%/LINE_THICKNESSG6#$"#5F--%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$FGFG-%'ORIGING6#-%&POINTG6$$"0D"y+3K"\"!#7$"0v$f3Q!*)='!#8-%&SCALEG6#-FU6$FLFL-%)ROTATIONG6#FG-%*LINESTYLEG6#FH-%%DATAG6%7$$")VlK6!"&$"(@_a#F^p7$$"(HL<(F^p$"(mtG(F^p%'CLOSEDG-%*RECTANGLEG6'F@FI-FO6&FQ-FX6#-Fen6$$"1>U2EU9[HF\o$"1(Hac/.*)G'!#9F]oFboFeo-Fio6%7$$")yZ*e#F^p$")-AXE!"'7$$"(GL<(F^pFdpFfp-Fhp6'F@FI-FO6&FQ-FX6#-Fen6$$"1Dcw%QW#fbF\o$"1J&p()[)QlhFdqF]oFboFeo-Fio6%7$$")&f%e_F^pFjq7$$")#)p:gF\r$")mLSqF\rFfp-%%LINEG6(F@-%/LINE_END_ARROWG6#Q*vee-arrow6"FI-FO6&FQ-FX6#-Fen6$$"1i:5z5[-lFdq$"0d%=kE!*)G'F\oF]oFboFeo-Fio6$7$$"$q"F-$")a9FiF\r7$$")i\I6F^p$"'m]j!"%-Fgs6(F@FisFI-FO6&FQ-FX6#-Fen6$$"1DJ?erL%>#F\oFftF]oFboFeo-Fio6$7$$"(Hy%=FduF]u7$$")`%3a#F^pFbu-Fgs6(F@FisFI-FO6&FQ-FX6#-Fen6$$"0vozT`A\'FinFftF]oFboFeo-Fio6$7$$"('=seFduF]u7$$")1K7rF^pFbu-Fgs6'F@FI-FO6&FQ-FX6#-Fen6$$"219pL&4K"\"Fdq$"1y+$es(QlgFdqF]oFboFeo-Fio6$7$$"*XOUD"F\r$"(nW%))F^p7$$")bSG<F^p$")$3jG$F\r-Fgs6'F@FI-FO6&FQ-FX6#-Fen6$$"2%fL>[1K"\"Fdq$"2v=UdQXr7'!#:F]oFboFeo-Fio6$7$$"*%z2U7F\r$")7&ol$F\r7$$")McS<F^p$")'Ruf)F\r-%/TEXT_CONTAINERG6(FI-FO6&FQ-FX6#-Fen6$$"2c,mEtWp-'F]z$"1voa&=l![MFdqF]oFbo-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTGFi[l-Fio6%7$$")Z%p(QF\r$")_1)H"F\r7$$")#****R%F\r$"$I%F-Ffp-%*PARAGRAPHG6#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F]t-F[[l6(FI-FO6&FQ-FX6#-Fen6$$"1)=Ud8R2*pF\o$"16P!))*=@$o%FdqF]oFboFg[lF[\l-Fio6%7$$"(R2x'Fdu$")>@LDF\r7$$"$S%F-$")/++VF\rFfp-Fj\l6#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F]t-F[[l6(FI-FO6&FQ-FX6#-Fen6$$"1>#\a$)=Y)HF\o$"11k1$RlzB'FdqF]oFboFg[lF[\l-Fio6%7$$"))='fGF^p$")a'z$\F\r7$$"$]#F-$"$g#F-Ffp-Fj\l6#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F]t-F[[l6(FI-FO6&FQ-FX6#-Fen6$$"1v$fLpNGg&F\o$"1vVt_S:*)pFdqF]oFboFg[lF[\l-Fio6%7$$")d$yT&F^p$"(a"RTF^p7$$"$q$F-$"$q&F-Ffp-Fj\l6#Q[_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]t-F[[l6(FI-FO6&FQ-FX6#-Fen6$$"1yD9'z4!)o"F\o$"1D"Gjtat:"F\oF]oFboFg[lF[\l-Fio6%7$$"))4I`"F^p$")ZNd5F^p7$$"$5$F-$"$+#F-Ffp-Fj\l6#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F]tF=FiwFayF^blF=FiwFayF^blF=FiwFayF^bl-F>6'F@FI-FO6&FQ-FX6#-Fen6$$"0D"y+3Kh9Fin$"1v$f3Q!*)QAF\oF]oFboFeo-Fio6%7$$")Wl-6F^p$")@_u=F^pF]rFfp-Fgs6'F@FI-FO6&FQ-FX6#-Fen6$$"27.df5@8Y"Fdq$"2D1*G'pQlA#FdqF]oFboFeo-Fio6$7$$"*XOUA"F\r$")nW/DF^p7$$")eS)p"F^p$")3j[>F^p-Fgs6'F@FI-FO6&FQ-FX6#-Fen6$$"2%fL>[1Kh9Fdq$"2)=UdQXrKAFdqF]oFboFeo-Fio6$7$$"*%z277F\r$")^o&)>F^p7$$")Mc5<F^p$"(W(zCFduFiclF\elFdflFiclF\elFdflFiclF\elFdfl-Fgs6(F@FisFI-FO6&FQ-FX6#-Fen6$$"%+VF-$"$N'F-F]oFboFeo-Fio6$7$$"%SLF-$"$I'F-7$$"%g_F-$"$S'F--F[[l6(FI-FO6&FQ-FX6#-Fen6$$"$&)*F-$"$0%F-F]oFboFg[lF[\l-Fio6%7$$"$S)F-$"$q#F-7$$"$!HF-FejlFfp-Fj\l6#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F]t-F[[l6(FI-FO6&FQ-FX6#-Fen6$$"%l?F-$"%I@F-F]oFboFg[lF[\l-Fio6%7$$"%?>F-$"%!*>F-7$Fhjl$"$!GF-FfpFjjl-Fgs6(F@FisFI-FO6&FQ-FX6#-Fen6$$"%vJF-$"%D@F-F]oFboFeo-Fio6%7$$"%!\%F-$"%S=F-7$$"%+XF-$"%5CF-7$$"%]=F-$")yz1CF^p-Fgs6(F@FisFI-FO6&FQ-FX6#-Fen6$$"%SRF-$"%0FF-F]oFboFeo-Fio6&7$$"%?jF-Fg[m7$$"%IjF-$"%!G$F-7$$"%]:F-Fd_m7$Fg_m$"%!o#F--F[[l6(FI-FO6&FQ-FX6#-Fen6$$"%:8F-$"%IGF-F]oFboFg[lF[\l-Fio6%7$$"%q6F-$"%!p#F-F`\mFfpFjjl-Fgs6(F@FisFI-FO6&FQ-FX6#-Fen6$$"%+:F-$"%X9F-F]oFboFeo-Fio6$7$$"%!\"F-$"%g=F-7$$"%5:F-$"%I5F--Fgs6(F@FisFI-FO6&FQ-FX6#-Fen6$$"%0XF-$"$?*F-F]oFboFeo-Fio6$7$Fg]mF]il7$Fg]m$"%57F--Fgs6(F@FisFI-FO6&FQ-FX6#-Fen6$$"%XjF-$"%g5F-F]oFboFeo-Fio6$7$$"%SjF-$"$g'F-7$Fhdm$"%g9F--Fhp6'F@FI-FO6&FQ-FX6#-Fen6$F_cm$"%g:F-F]oFboFeo-Fio6%7$$"%SUF-$"%+8F-7$$"$I&F-$"$?&F-Ffp-Fhp6'F@FI-FO6&FQ-FX6#-Fen6$$"%&G'F-$"%+=F-F]oFboFeo-Fio6%7$$"%?gF-$"%S:F-F`fmFfp-F[[l6(FI-FO6&FQ-FX6#-Fen6$$"%:XF-$"%!f"F-F]oFboFg[lF[\l-Fio6%7$$"%?VF-$"%I9F-7$$"$!RF-$"$?$F-Ffp-Fj\l6#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F]t-F[[l6(FI-FO6&FQ-FX6#-Fen6$$"%qjF-$"%N=F-F]oFboFg[lF[\l-Fio6%7$$"%qhF-$"%];F-7$$"$+%F-FgalFfp-Fj\l6#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F]t 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 For LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2I1EnYEtfX1RgRictSSNtb0dGJDYwUSI9RicvJSVzaXplR1EjMTZGJy8lJWJvbGRHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjsvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkAvJSlzdHJldGNoeUdGQC8lKnN5bW1ldHJpY0dGQC8lKGxhcmdlb3BHRkAvJS5tb3ZhYmxlbGltaXRzR0ZALyUnYWNjZW50R0ZALyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTy1JI21uR0YkNidRIjBGJ0YzRjZGOUY8RjNGNkY5Rjw=: Calculate the gain LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= for which we get 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

We will re-draw the system: -%'CANVASG6'-%)BOUNDS_XG6#,$-%&FloatG6#%)infinityG!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"%StF--%.BOUNDS_HEIGHTG6#$"%!4#F--%)CHILDRENG6A-%%OVALG6'-%(OUTLINEG6#-%&COLORG6&%$RGBG$""!F-FGFG-%/LINE_THICKNESSG6#$"#5F--%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$FGFG-%'ORIGING6#-%&POINTG6$$"0D"y+3K"\"!#7$"0v$f3Q!*)='!#8-%&SCALEG6#-FU6$FLFL-%)ROTATIONG6#FG-%*LINESTYLEG6#FH-%%DATAG6%7$$")VlK6!"&$"(@_a#F^p7$$"(HL<(F^p$"(mtG(F^p%'CLOSEDG-%*RECTANGLEG6'F@FI-FO6&FQ-FX6#-Fen6$$"1>U2EU9[HF\o$"1(Hac/.*)G'!#9F]oFboFeo-Fio6%7$$")yZ*e#F^p$")-AXE!"'7$$"(GL<(F^pFdpFfp-Fhp6'F@FI-FO6&FQ-FX6#-Fen6$$"1Dcw%QW#fbF\o$"1J&p()[)QlhFdqF]oFboFeo-Fio6%7$$")&f%e_F^pFjq7$$")#)p:gF\r$")mLSqF\rFfp-%%LINEG6(F@-%/LINE_END_ARROWG6#Q*vee-arrow6"FI-FO6&FQ-FX6#-Fen6$$"1i:5z5[-lFdq$"0d%=kE!*)G'F\oF]oFboFeo-Fio6$7$$"$q"F-$")a9FiF\r7$$")i\I6F^p$"'m]j!"%-Fgs6(F@FisFI-FO6&FQ-FX6#-Fen6$$"1DJ?erL%>#F\oFftF]oFboFeo-Fio6$7$$"(Hy%=FduF]u7$$")`%3a#F^pFbu-Fgs6(F@FisFI-FO6&FQ-FX6#-Fen6$$"0vozT`A\'FinFftF]oFboFeo-Fio6$7$$"('=seFduF]u7$$")1K7rF^pFbu-Fgs6'F@FI-FO6&FQ-FX6#-Fen6$$"219pL&4K"\"Fdq$"1y+$es(QlgFdqF]oFboFeo-Fio6$7$$"*XOUD"F\r$"(nW%))F^p7$$")bSG<F^p$")$3jG$F\r-Fgs6'F@FI-FO6&FQ-FX6#-Fen6$$"2%fL>[1K"\"Fdq$"2v=UdQXr7'!#:F]oFboFeo-Fio6$7$$"*%z2U7F\r$")7&ol$F\r7$$")McS<F^p$")'Ruf)F\r-%/TEXT_CONTAINERG6(FI-FO6&FQ-FX6#-Fen6$$"2c,mEtWp-'F]z$"1voa&=l![MFdqF]oFbo-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTGFi[l-Fio6%7$$")Z%p(QF\r$")_1)H"F\r7$$")#****R%F\r$"$I%F-Ffp-%*PARAGRAPHG6#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F]t-F[[l6(FI-FO6&FQ-FX6#-Fen6$$"1)=Ud8R2*pF\o$"16P!))*=@$o%FdqF]oFboFg[lF[\l-Fio6%7$$"(R2x'Fdu$")>@LDF\r7$$"$S%F-$")/++VF\rFfp-Fj\l6#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F]t-F[[l6(FI-FO6&FQ-FX6#-Fen6$$"1>#\a$)=Y)HF\o$"11k1$RlzB'FdqF]oFboFg[lF[\l-Fio6%7$$"))='fGF^p$")a'z$\F\r7$$"$]#F-$"$g#F-Ffp-Fj\l6#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F]t-F[[l6(FI-FO6&FQ-FX6#-Fen6$$"1v$fLpNGg&F\o$"1vVt_S:*)pFdqF]oFboFg[lF[\l-Fio6%7$$")d$yT&F^p$"(a"RTF^p7$$"$q$F-$"$q&F-Ffp-Fj\l6#Q[_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]t-F[[l6(FI-FO6&FQ-FX6#-Fen6$$"1yD9'z4!)o"F\o$"1D"Gjtat:"F\oF]oFboFg[lF[\l-Fio6%7$$"))4I`"F^p$")ZNd5F^p7$$"$5$F-$"$+#F-Ffp-Fj\l6#QcdvCjxUZXh0LWZpZWxkIHN1cGVyc2NyaXB0PSJmYWxzZSIgcGxhY2Vob2xkZXI9ImZhbHNlIiBleGVjdXRhYmxlPSJmYWxzZSIgc2VsZWN0aW9uLXBsYWNlaG9sZGVyPSJmYWxzZSIgaXRhbGljPSJmYWxzZSIgc2l6ZT0iMTIiIGJvbGQ9ImZhbHNlIiBzdWJzY3JpcHQ9ImZhbHNlIiBmYW1pbHk9IlRpbWVzIE5ldyBSb21hbiIgb3BhcXVlPSJmYWxzZSIgdW5kZXJsaW5lPSJmYWxzZSIgYmFja2dyb3VuZD0iWzI1NSwyNTUsMjU1XSIgcmVhZG9ubHk9ImZhbHNlIiBmb3JlZ3JvdW5kPSJbMCwwLDBdIiBhbGlnbm1lbnQ9ImxlZnQiIGZpcnN0aW5kZW50PSIwIiBzcGFjZWJlbG93PSIwIiBsZWZ0bWFyZ2luPSIwIiBsaW5lc3BhY2luZz0iMC4wIiBpbml0aWFsPSIwIiBsaW5lYnJlYWs9InNwYWNlIiByaWdodG1hcmdpbj0iMCIgYnVsbGV0c3VmZml4PSIiIHNwYWNlYWJvdmU9IjAiIGJ1bGxldD0ibm9uZSIgcGFnZWJyZWFrLWJlZm9yZT0iZmFsc2UiPjxFcXVhdGlvbiBleGVjdXRhYmxlPSJmYWxzZSIgaW5wdXQtZXF1YXRpb249IiIgZGlzcGxheT0iTFVrbGJYSnZkMGMySXk5SksyMXZaSFZzWlc1aGJXVkhOaUpKTEZSNWNHVnpaWFIwYVc1blIwa29YM041YzJ4cFlrZEdKelkxTFVramJXOUhSaVEyUDFFcUpuVnRhVzUxY3pBN1JpY3ZKU2RtWVcxcGJIbEhVVEJVYVcxbGMzNU9aWGQrVW05dFlXNUdKeThsSlhOcGVtVkhVU014TmtZbkx5VWxZbTlzWkVkUkpYUnlkV1ZHSnk4bEoybDBZV3hwWTBkUkptWmhiSE5sUmljdkpTcDFibVJsY214cGJtVkhSam92SlNwemRXSnpZM0pwY0hSSFJqb3ZKU3h6ZFhCbGNuTmpjbWx3ZEVkR09pOGxLMlp2Y21WbmNtOTFibVJIVVNoYk1Dd3dMREJkUmljdkpTdGlZV05yWjNKdmRXNWtSMUV1V3pJMU5Td3lOVFVzTWpVMVhVWW5MeVVuYjNCaGNYVmxSMFk2THlVclpYaGxZM1YwWVdKc1pVZEdPaThsS1hKbFlXUnZibXg1UjBZNkx5VXBZMjl0Y0c5elpXUkhSam92SlNwamIyNTJaWEowWldSSFJqb3ZKU3RwYlhObGJHVmpkR1ZrUjBZNkx5VXNjR3hoWTJWb2IyeGtaWEpIUmpvdkpUWnpaV3hsWTNScGIyNHRjR3hoWTJWb2IyeGtaWEpIUmpvdkpTeHRZWFJvZG1GeWFXRnVkRWRSSldKdmJHUkdKeThsSzJadmJuUjNaV2xuYUhSSFJsa3ZKU1ptWlc1alpVZEdPaThsS25ObGNHRnlZWFJ2Y2tkR09pOGxLWE4wY21WMFkyaDVSMFk2THlVcWMzbHRiV1YwY21salIwWTZMeVVvYkdGeVoyVnZjRWRHT2k4bExtMXZkbUZpYkdWc2FXMXBkSE5IUmpvdkpTZGhZMk5sYm5SSFJqb3ZKU2RzYzNCaFkyVkhVU3d3TGpJeU1qSXlNakpsYlVZbkx5VW5jbk53WVdObFIwWm1iMFl2TDBZelVTTXhNa1luTDBZMlJqcEdPRVk3UmoxR1AwWkJSa1JHUjBaSlJrdEdUVVpQUmxGR1UwWlZMMFpZVVNkdWIzSnRZV3hHSnc9PSI+TFVrbGJYSnZkMGMySXk5SksyMXZaSFZzWlc1aGJXVkhOaUpKTEZSNWNHVnpaWFIwYVc1blIwa29YM041YzJ4cFlrZEdKelkxTFVramJXOUhSaVEyUDFFcUpuVnRhVzUxY3pBN1JpY3ZKU2RtWVcxcGJIbEhVVEJVYVcxbGMzNU9aWGQrVW05dFlXNUdKeThsSlhOcGVtVkhVU014TmtZbkx5VWxZbTlzWkVkUkpYUnlkV1ZHSnk4bEoybDBZV3hwWTBkUkptWmhiSE5sUmljdkpTcDFibVJsY214cGJtVkhSam92SlNwemRXSnpZM0pwY0hSSFJqb3ZKU3h6ZFhCbGNuTmpjbWx3ZEVkR09pOGxLMlp2Y21WbmNtOTFibVJIVVNoYk1Dd3dMREJkUmljdkpTdGlZV05yWjNKdmRXNWtSMUV1V3pJMU5Td3lOVFVzTWpVMVhVWW5MeVVuYjNCaGNYVmxSMFk2THlVclpYaGxZM1YwWVdKc1pVZEdPaThsS1hKbFlXUnZibXg1UjBZNkx5VXBZMjl0Y0c5elpXUkhSam92SlNwamIyNTJaWEowWldSSFJqb3ZKU3RwYlhObGJHVmpkR1ZrUjBZNkx5VXNjR3hoWTJWb2IyeGtaWEpIUmpvdkpUWnpaV3hsWTNScGIyNHRjR3hoWTJWb2IyeGtaWEpIUmpvdkpTeHRZWFJvZG1GeWFXRnVkRWRSSldKdmJHUkdKeThsSzJadmJuUjNaV2xuYUhSSFJsa3ZKU1ptWlc1alpVZEdPaThsS25ObGNHRnlZWFJ2Y2tkR09pOGxLWE4wY21WMFkyaDVSMFk2THlVcWMzbHRiV1YwY21salIwWTZMeVVvYkdGeVoyVnZjRWRHT2k4bExtMXZkbUZpYkdWc2FXMXBkSE5IUmpvdkpTZGhZMk5sYm5SSFJqb3ZKU2RzYzNCaFkyVkhVU3d3TGpJeU1qSXlNakpsYlVZbkx5VW5jbk53WVdObFIwWm1iMFl2TDBZelVTTXhNa1luTDBZMlJqcEdPRVk3UmoxR1AwWkJSa1JHUjBaSlJrdEdUVVpQUmxGR1UwWlZMMFpZVVNkdWIzSnRZV3hHSnc9PTwvRXF1YXRpb24+PC9UZXh0LWZpZWxkPg==F]tF=FiwFayF^blF=FiwFayF^blF=FiwFayF^bl-Fgs6(F@FisFI-FO6&FQ-FX6#-Fen6$$"%+VF-$"$N'F-F]oFboFeo-Fio6$7$$"%SLF-$"$I'F-7$$"%g_F-$"$S'F--F[[l6(FI-FO6&FQ-FX6#-Fen6$$"$&)*F-$"$0%F-F]oFboFg[lF[\l-Fio6%7$$"$S)F-$"$q#F-7$$"$!HF-FbflFfp-Fj\l6#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F]t-Fhp6'F@FI-FO6&FQ-FX6#-Fen6$$"%:SF-$"%I;F-F]oFboFeo-Fio6%7$$"%]PF-$"%q8F-7$$"$I&F-$"$?&F-Ffp-F[[l6(FI-FO6&FQ-FX6#-Fen6$$"%gSF-$"%l;F-F]oFboFg[lF[\l-Fio6%7$$"%gQF-$"%!["F-7$$"$+%F-FgalFfp-Fj\l6#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F]t-Fgs6(F@FisFI-FO6&FQ-FX6#-Fen6$$"%S`F-$"%56F-F]oFboFeo-Fio6%7$$"%gjF-$"$?'F-7$Fjjl$"%+;F-7$$"%?VF-F_[m-Fgs6(F@FisFI-FO6&FQ-FX6#-Fen6$$"%XEF-$"%08F-F]oFboFeo-Fio6%7$$"%SPF-$"%!e"F-7$$"%]:F-$"%!f"F-7$Fh\m$"%?5F- JSFH

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

The definition of Gain Margin: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

We will find LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEkS0dIRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0YzUSdub3JtYWxGJw== : 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNHSEdGKCooLCZJInNHRigiIiJGMUYxISIiLCZGMEYxIiIlRjFGMkYwRjI3I0Yu

We will write the function in complex form: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSxHSF9fY29tcGxleEdGKCoqXiMhIiIiIiIsJiomXiNGMUYxSSZvbWVnYUdGKEYxRjFGMUYxRjAsJkYzRjEiIiVGMUYwRjVGMDcjRi4=

Finding the Real and Imaginary parts: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJ1R0YoLCQqJiwmKiRJJm9tZWdhR0YoIiIjIiIiRjRGNCEiIiwmRjFGNCIjO0Y0RjUhIiY3I0Yu

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJ2R0YoKiosJiokSSZvbWVnYUdGKCIiIyIiIiEiJUYzRjMsJkYwRjNGM0YzISIiLCZGMEYzIiM7RjNGNkYxRjY3I0Yu

JSFH To find LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EtYCZvbWVnYTtfX2NgRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn we will set:JSFH 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSsmb21lZ2E7X19jR0YoNiQiIiMhIiM3JEYvRjA=

JSFH We will choose the positive solution. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRLR0hHRigsJEkiS0dGKCMiIiIiIz83I0Yu

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjR01GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzEwRidGOS1GNjYtUSI6RidGOUY7Rj5GQEZCRkRGRkZIRkpGTQ== JSFH The Gain is: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

%;

LCQqJCIjNSMiIiIiIiNGJw==

Find LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5 and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEiR0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIi5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJNRidGL0YyRjVGOQ== If we know that LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjUE1GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzMwRidGOS1GNjYtUSI6RidGOUY7Rj5GQEZCRkRGRkZIRkpGTQ==

The definition of Phase Margin: 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

LyIjSSwmIiQhPSIiIi1JJGFyZ0c2IjYjLCQtSSJLR0YpNiMqJl4jRiZGJjYkIiIjISIjRiYjRiYiIz9GJg==

To find LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1ExYCZvbWVnYTtfXyZwaGk7YEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw== we will find the argument of the system: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEpc2ltcGxpZnlGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSZldmFsY0YnRi9GMi1GNjYkLUYjNiQtRiw2JVEpYXJndW1lbnRGJy9GMFEmZmFsc2VGJy9GM1Enbm9ybWFsRictRjY2JC1GIzYjLUYsNiNRLmBHSF9fY29tcGxleGBGJ0ZGRkZGRg==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LUknYXJjdGFuRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJiwmKiRJJm9tZWdhR0YnIiIjIiIiISIlRi5GLkYsISIiISIm

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjUE1GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSI9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSQxODBGJ0Y5LUY2Ni1RIitGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GVy1GIzYkLUYsNiVRKXNpbXBsaWZ5RidGL0YyLUkobWZlbmNlZEdGJDYkLUYjNiQtRiw2JVEmZXZhbGNGJ0YvRjItRmluNiQtRiM2JC1GLDYlUSlhcmd1bWVudEYnL0YwRj1GOS1GaW42JC1GIzYjLUYsNiNRLmBHSF9fY29tcGxleGBGJ0Y5RjlGOS1GLDYjUSFGJw==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LyIjSSwmIiQhPSIiIi1JJ2FyY3Rhbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYsJiokSSZvbWVnYUdGLCIiI0YmISIlRiZGJkYxISIiISImRiY=

Hence, 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LywkKiQiIiQjIiIiIiIjI0YnRiUsJComLCYqJEkmb21lZ2FHNiJGKEYnISIlRidGJ0YuISIiI0YxIiIm

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

NiQkIitmZDFCNSEiKiQhKzByIik0UkYl

We will choose the positive solution. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SS8mb21lZ2E7X18mcGhpO0dGKCQiK2ZkMUI1ISIqNyNGLg==

JSFH

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

From the Gain rule: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

Isolating LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= : 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJLR0YoJCIrMFsiSC8nISIqNyNGLg==

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNHTUdGKCQiK1xxY1I1ISIpNyNGLg==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

For 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 The Bode Plots and find the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiR0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIi5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJNRidGL0YyRjk= and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIi5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJNRidGL0YyRjk= . Does the system stable in closed loop?

Now the transfer function is LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RJyZzZG90O0YnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUYsNiVRI0dIRidGL0Yy

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LCQqKCwmSSJzRzYiIiIiRidGJyEiIiwmRiVGJyIiJUYnRihGJUYoJCIrMFsiSC8nISIq

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 QyQ+SSRzeXNHNiItSTFUcmFuc2ZlckZ1bmN0aW9uR0YlNiMsJCokLCgqJEkic0dGJSIiJCIiIiokRi0iIiMiIiZGLSIiJSEiIiIjU0Y0 print(); # input placeholder LUkpQm9kZVBsb3RHNiI2I0kkc3lzR0Yk

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

%;

-%%PLOTG6(-%'CURVESG6$7`q7$$"""!"#$"+eQ&***f!")7$$"+1Kz95!#6$"+#Q(>()f!")7$$"+^_!)H5!#6$"+k3Wuf!")7$$"+t$R]/"!#6$"20++?I%ohf!#:7$$"+c))\g5!#6$"+)pF*[f!")7$$"+Mq=w5!#6$"*0rh$f!"(7$$"+"H2@4"!#6$"20++SN9M#f!#:7$$"+fIE36!#6$"+7wl5f!")7$$"+AylC6!#6$"+A3!z*e!")7$$"+;^HT6!#6$"2'*****>)R9&)e!#:7$$"*`y"e6!#5$"+)3(Qse!")7$$"+.<Jv6!#6$"+U,jfe!")7$$"+K$)p#>"!#6$"2'******RJ(o%e!#:7$$"+k@M57!#6$"+#3;T$e!")7$$"+0qCG7!#6$"+m*e8#e!")7$$"+<nTY7!#6$"+)y,'3e!")7$$"+;_&[E"!#6$"2'******\X%ez&!#:7$$"*[mNG"!#5$"+[s3$y&!")7$$"+WXb-8!#6$"*))H.x&!"(7$$"+4vPT8!#6$"*%\"[u&!"(7$$"+.wN"Q"!#6$"+9(*H>d!")7$$"+9$HDU"!#6$"+%=%y$p&!")7$$"+d"G\Y"!#6$"2&*****>Lo#oc!#:7$$"+42f3:!#6$"+Q@vUc!")7$$"+NYb`:!#6$"+#eNsh&!")7$$"+>(e)*f"!#6$"+U'=<f&!")7$$"+4HaZ;!#6$"+%H,ic&!")7$$"*M[mp"!#5$"+9NoSb!")7$$"*P<su"!#5$"+w_;:b!")7$$"+BOH*z"!#6$"+_lk*[&!")7$$"+@?#H&=!#6$"2'*****RJFTY&!#:7$$"+G)["3>!#6$"+GvgQa!")7$$"+$o@]'>!#6$"2&*****R;(38a!#:7$$"+Y'*eB?!#6$"+%=mvQ&!")7$$"+UK!R3#!#6$"+aX/i`!")7$$"+-X,Y@!#6$"+KA_O`!")7$$"+/q(*4A!#6$"+w"**4J&!")7$$"+Cf%eF#!#6$"2'*****RMvaG&!#:7$$"+%3yOM#!#6$"+)o]*f_!")7$$"+)*>`8C!#6$"+e^UM_!")7$$"+EzY&[#!#6$"+-()*)3_!")7$$"+AzafD!#6$"+i7P$=&!")7$$"+"*e$ej#!#6$"*yUy:&!"(7$$"+VwR9F!#6$"2'*****R>8B8&!#:7$$"+"f:'yG!#6$"+O/D"3&!")7$$"+P&oF0$!#6$"+-C=I]!")7$$"*aduB$!#5$"+Q%3"z\!")7$$"+<+KLM!#6$"+/y-G\!")7$$"+Y>.TO!#6$"*nRp([!"(7$$"+3-JhQ!#6$"+3J%e#[!")7$$"+d]"\4%!#6$"+kqtuZ!")7$$"+KFlUV!#6$"+i.iBZ!")7$$"2/++IDy`g%!#=$"*o"\sY!"(7$$"+n$)*R)[!#6$"*`\8i%!"(7$$"2&*****\nu%z^!#=$"*C#>qX!"(7$$"+1n8De!#6$")X#yY%!"'7$$"+fbG^l!#6$"+%[q`O%!")7$$"+ZX&zO(!#6$"+Gv!GE%!")7$$"+@xU'G)!#6$"*32,;%!"(7$$"+^dR>$*!#6$")KBdS!"'7$$"+LJ6[5!#5$"+129aR!")7$$"+j8rD8!#5$"+#yequ$!")7$$"+MH$on"!#5$"*/:#QN!"(7$$"+$)3&47#!#5$"+'o4mK$!")7$$"+"z&p#o#!#5$"+-gs5J!")7$$"+k<A$R$!#5$"*@K$))G!"(7$$"+[U$>H%!#5$"+;[HcE!")7$$"+EanGa!#5$"*%[^5C!"(7$$"*V)[mo!"*$"+y9;Y@!")7$$"+;P6&o)!#5$"+JbLe=!")7$$"+R6a)4"!"*$"+")e-V:!")7$$"+*[&\*Q"!"*$"+'[Py>"!")7$$"+>1^d<!"*$"+;&R%>#)!"*7$$"+uk*HA#!"*$"+3`=`T!"*7$$"+*oo<"G!"*$!+)HpJ?#!#57$$"+$H![cN!"*$!+))35,\!"*7$$"*lK%)\%!")$!*n?@))*!")7$$"+2g')*o&!"*$!+1q69:!")7$$"2&*****zpco>(!#;$!+wC&R1#!")7$$"+W<)H5*!"*$!*wjGj#!"(7$$"+%R&R^6!")$!+_g(f@$!")7$$"*Z[jX"!"($!+#***44Q!")7$$"+h*p?%=!")$!+;[+4W!")7$$"+)z^*HB!")$!+7fP8]!")7$$"+*o^q%H!")$!2'*****R?M1i&!#:7$$"+,PfFP!")$!*>O(Hi!"(7$$"+Oj'[r%!")$!+'G1+%o!")7$$"+&GBO'f!")$!*w75X(!"(7$$"+>+7Vv!")$!1,++w>[i!)!#97$$"+6Z&4a*!")$!+/9Cu')!")7$$"+LEz17!"($!*h#='G*!"(7$$"+dzTE:!"($!+)eP#)*)*!")7$$"+<xpI>!"($!+uj.^5!"(7$$"+rI0UC!"($!+RMD76!"(7$$"*fV))3$!"'$!*HtM<"!"'7$$"+=*Rp!R!"($!+y[pM7!"(7$$"+DLrT\!"($!+av"fH"!"(7$$"+k=b]i!"($!+449d8!"(7$$"+#>Vg!z!"($!+#pk$=9!"(7$$"&++"!""$!*u)ez9!"'-%&COLORG6&%$RGBG$")C)eq%!")$""!!""$"('>!\&!")-%%VIEWG6$;$"""!"#$"&++"!""%(DEFAULTG-&%&_AXISG6#"""6+-%+_GRIDLINESG6#"#@-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#"""-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%)LOCATIONG6#!""-%&_MODEG6#"""-%&_MODEG6#"""-%&_MODEG6#"""-&%&_AXISG6#""#6(-%+_GRIDLINESG6#"#5-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#"""-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%&_MODEG6#""!-%+AXESLABELSG6'Q-Freq~[rad/s]6"Q/Magnitude~[dB]6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5%+HORIZONTALG%)VERTICALG-%%ROOTG6'-%)BOUNDS_XG6#$"$?(!""-%)BOUNDS_YG6#$"$?"!""-%-BOUNDS_WIDTHG6#$"&!>9!""-%.BOUNDS_HEIGHTG6#$"%!Q$!""-%)CHILDRENG6"-%%PLOTG6(-%'CURVESG6$7`q7$$"""!"#$!0'Qt#y<;2*!#87$$"+1Kz95!#6$!0.;2=xE2*!#87$$"+^_!)H5!#6$!0'H&zC_P2*!#87$$"+t$R]/"!#6$!09sh@V[2*!#87$$"+c))\g5!#6$!13wQ?.&f2*!#97$$"+Mq=w5!#6$!1Rg=*ztq2*!#97$$"+"H2@4"!#6$!1xjs%*Q@y!*!#97$$"+fIE36!#6$!1Bif_3Pz!*!#97$$"+AylC6!#6$!1%)y4A\a!3*!#97$$"+;^HT6!#6$!1RzCcjt"3*!#97$$"*`y"e6!#5$!0U[=TXH3*!#87$$"+.<Jv6!#6$!14:F\B<%3*!#97$$"+K$)p#>"!#6$!1b>.LuT&3*!#97$$"+k@M57!#6$!0n87$4o'3*!#87$$"+0qCG7!#6$!11P6;J'z3*!#97$$"+<nTY7!#6$!1wo-kUE*3*!#97$$"+;_&[E"!#6$!1^>5bYe!4*!#97$$"*[mNG"!#5$!1YR"RdC>4*!#97$$"+WXb-8!#6$!1Pa54VG$4*!#97$$"+4vPT8!#6$!1"Q!R/W1'4*!#97$$"+.wN"Q"!#6$!1o)ylLF*)4*!#97$$"+9$HDU"!#6$!1nRMsb(=5*!#97$$"+d"G\Y"!#6$!1eRg^;"\5*!#97$$"+42f3:!#6$!1'e++>Q!3"*!#97$$"+NYb`:!#6$!1j-t!)yD6"*!#97$$"+>(e)*f"!#6$!1j/t'\tX6*!#97$$"+4HaZ;!#6$!1&\lQ*y)z6*!#97$$"*M[mp"!#5$!1tN`7S]@"*!#97$$"*P<su"!#5$!01,-)[7D"*!#87$$"+BOH*z"!#6$!10RV9O&)G"*!#97$$"+@?#H&=!#6$!1Hq8DMpK"*!#97$$"+G)["3>!#6$!08[whZm8*!#87$$"+$o@]'>!#6$!1@'Q]f>29*!#97$$"+Y'*eB?!#6$!1V'R8'G"\9*!#97$$"+UK!R3#!#6$!1&f=Y-J#\"*!#97$$"+-X,Y@!#6$!0/M)*zxO:*!#87$$"+/q(*4A!#6$!0;$o6qDe"*!#87$$"+Cf%eF#!#6$!1;q:)fsH;*!#97$$"+%3yOM#!#6$!14@(QhGy;*!#97$$"+)*>`8C!#6$!1[!\KBHG<*!#97$$"+EzY&[#!#6$!1GLDa(yz<*!#97$$"+AzafD!#6$!1D]p,;G$=*!#97$$"+"*e$ej#!#6$!1/,;JBu)=*!#97$$"+VwR9F!#6$!1)=8FjlV>*!#97$$"+"f:'yG!#6$!1_XF2%>h?*!#97$$"+P&oF0$!#6$!1j!H^G$e=#*!#97$$"*aduB$!#5$!1kr/P+!=B*!#97$$"+<+KLM!#6$!1b"*[%)\"eC*!#97$$"+Y>.TO!#6$!1iT:Zhng#*!#97$$"+3-JhQ!#6$!1OS_)RMkF*!#97$$"+d]"\4%!#6$!1U?CGO9$H*!#97$$"+KFlUV!#6$!1>\)="4'3J*!#97$$"2/++IDy`g%!#=$!1=\g!pY'H$*!#97$$"+n$)*R)[!#6$!1)*Ged\c\$*!#97$$"2&*****\nu%z^!#=$!1Bew_Moq$*!#97$$"+1n8De!#6$!1&HR)\?"oT*!#97$$"+fbG^l!#6$!0tt\Cd'o%*!#87$$"+ZX&zO(!#6$!0Van]<p_*!#87$$"+@xU'G)!#6$!1(=CJYsBf*!#97$$"+^dR>$*!#6$!1#4lDd!*em*!#97$$"+LJ6[5!#5$!1a5%ywO%[(*!#97$$"+j8rD8!#5$!1wa`,y*\%**!#97$$"+MH$on"!#5$!2A%>3xY>>5!#97$$"+$)3&47#!#5$!2W,Y0'*)4]5!#97$$"+"z&p#o#!#5$!2%zd&ReS&)3"!#97$$"+k<A$R$!#5$!2cR!zr.#f8"!#97$$"+[U$>H%!#5$!23-8@.IN>"!#97$$"+EanGa!#5$!2G!*z3#)[AE"!#97$$"*V)[mo!"*$!1Jl\n(f@M"!#87$$"+;P6&o)!#5$!1&*4^^/DK9!#87$$"+R6a)4"!"*$!0aN\$GXI:!#77$$"+*[&\*Q"!"*$!1iPIk'QTj"!#87$$"+>1^d<!"*$!2ULX/<.3u"!#97$$"+uk*HA#!"*$!2$>Uq5!G%[=!#97$$"+*oo<"G!"*$!2-(GT8<Fb>!#97$$"+$H![cN!"*$!1%Qp/$=Of?!#87$$"*lK%)\%!")$!1t63W^Be@!#87$$"+2g')*o&!"*$!21,8WCY#\A!#97$$"2&*****zpco>(!#;$!2.yp(3?CIB!#97$$"+W<)H5*!"*$!1=bLL[4+C!#87$$"+%R&R^6!")$!2.1MY#zyeC!#97$$"*Z[jX"!"($!2<ouOVQr]#!#97$$"+h*p?%=!")$!2pn\4S7ka#!#97$$"+)z^*HB!")$!0hC!\)4!yD!#77$$"+*o^q%H!")$!2'48?_6F.E!#97$$"+,PfFP!")$!1'eWh[%QBE!#87$$"+Oj'[r%!")$!1J,MtrNRE!#87$$"+&GBO'f!")$!1'Q)Q]1-_E!#87$$"+>+7Vv!")$!1#*4;V+0iE!#87$$"+6Z&4a*!")$!1,3@\!))*pE!#87$$"+LEz17!"($!1)\>@>oin#!#87$$"+dzTE:!"($!2kU[&QaB"o#!#97$$"+<xpI>!"($!1[2lAO;&o#!#87$$"+rI0UC!"($!2&oY%[yp#)o#!#97$$"*fV))3$!"'$!1Tgq)yD2p#!#87$$"+=*Rp!R!"($!1y.lVwm#p#!#87$$"+DLrT\!"($!2vf9d%H?%p#!#97$$"+k=b]i!"($!2%yCP$z;ap#!#97$$"+#>Vg!z!"($!1[s.#[wjp#!#87$$"&++"!""$!1lWkB_8(p#!#8-%&COLORG6&%$RGBG$")C)eq%!")$""!!""$"('>!\&!")-%%VIEWG6$;$"""!"#$"&++"!""%(DEFAULTG-&%&_AXISG6#"""6+-%+_GRIDLINESG6#"#@-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#"""-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%)LOCATIONG6#!""-%&_MODEG6#"""-%&_MODEG6#"""-%&_MODEG6#"""-&%&_AXISG6#""#6'-%+_GRIDLINESG6#"#5-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#"""-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6'Q-Freq~[rad/s]6"Q-Phase~[deg.]6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5%+HORIZONTALG%)VERTICALG-%%ROOTG6'-%)BOUNDS_XG6#$"$?(!""-%)BOUNDS_YG6#$"#q!""-%-BOUNDS_WIDTHG6#$"&!>9!""-%.BOUNDS_HEIGHTG6#$"%?M!""-%)CHILDRENG6"

JSFH

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

%; LUkrR2Fpbk1hcmdpbkc2IjYjSSRzeXNHRiQ=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

NyQkISs5KipmP2chIiokIisrKysrP0Yl

JSFH LUksUGhhc2VNYXJnaW5HNiI2I0kkc3lzR0Yk

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

NyQkIStEbTQsOiEiKSQiKz8rdnpGISIq

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNQTUdGKCQhKzkqKmY/ZyEiKjcjRi4=

JSFH PkkjR01HNiImNyQkIStEbTQsOiEiKSQiKz8rdnpGISIqNiMiIiI=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNHTUdGKCQhK0RtNCw6ISIpNyNGLg==

JSFH According to the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEjUE1GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUY2Ni1RIn5GJ0Y5RjsvRj9GPUZARkJGREZGRkhGSi9GTkZMLUYsNiVRI0dNRidGL0YyRjk= above, the system is Unstable. We got LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjUE1GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSI8RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSIwRidGOUY5. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

JSFH For 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 Draw the Bode Plots and find the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiR0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIi5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJNRidGL0YyRjk= and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIi5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJNRidGL0YyRjk= . Does the system stable in closed loop? How does the derivate feedback influence the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiUEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIi5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJNRidGL0YyRjk= ? LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Qyg+SSJLRzYiIiNTISIiPkklS19fVEdGJUYmRic+SSJHR0YlKiYsJkkic0dGJSIiIkYvRi9GJywmRi5GLyIiJUYvRidGJw== At first, we will look at the small circle, PkknR0hLX19URzYiKiZJIkdHRiQiIiIsJiomRiZGJ0klS19fVEdGJEYnRidGJ0YnISIi

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSdHSEtfX1RHRigqKCwmSSJzR0YoIiIiRjFGMSEiIiwmRjBGMSIiJUYxRjIsJiomRi9GMkYzRjIiI1NGMUYxRjI3I0Yu

In the Outer circle, PkkkS0dIRzYiKihJInNHRiQhIiJJJ0dIS19fVEdGJCIiIkkiS0dGJEYp

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSRLR0hHRigsJCoqSSJzR0YoISIiLCZGMCIiIkYzRjNGMSwmRjBGMyIiJUYzRjEsJiomRjJGMUY0RjEiI1NGM0YzRjFGODcjRi4=

PkkjVGZHNiItSSlzaW1wbGlmeUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJDYjSSRLR0hHRiQ=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNUZkdGKCwkKiYsKCokSSJzR0YoIiIjIiIiRjIiIiYiI1dGNCEiIkYyRjciI1M3I0Yu

QyQ+SSRzeXNHNiItSTFUcmFuc2ZlckZ1bmN0aW9uR0YlNiNJI1RmR0YlISIi print(); # input placeholder LUkpQm9kZVBsb3RHNiI2I0kkc3lzR0Yk

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

%;

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

LUkrR2Fpbk1hcmdpbkc2IjYjSSRzeXNHRiQ=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

NyQkIit6YHMhWyIhIikkIisiZVxLaichIio=

LUksUGhhc2VNYXJnaW5HNiI2I0kkc3lzR0Yk

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

NyQkIisuXk4hUikhIikkIisnKTRbPCMqISM1

JSFH PkkjUE1HNiImNyQkIisuXk4hUikhIikkIisnKTRbPCMqISM1NiMiIiI=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNQTUdGKCQiKy5eTiFSKSEiKTcjRi4=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= PkkjR01HNiImNyQkIit6YHMhWyIhIikkIisiZVxLaichIio2IyIiIg==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSNHTUdGKCQiK3pgcyFbIiEiKTcjRi4=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= According to the LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEjUE1GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUY2Ni1RIn5GJ0Y5RjsvRj9GPUZARkJGREZGRkhGSi9GTkZMLUYsNiVRI0dNRidGL0YyRjk= above, the system is stable.

JSFH LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= JSFH