<Text-field style="Heading 1" layout="Heading 1">Introdu\303\247\303\243o</Text-field>

yIpyIr<K_Tn^T^;N:L`^C:yIu@K\\PqkhpvF:CZ:N;xYqo[;_fiOf_CS;P:FZyYUCND<KB`KC`kMXkEXLSTlITLStLMTLMTLQtmTPmTP]x^b;Gb;GBLN\\LN\\::::FZOF]S>^V>^`>]Rn^pn^Zn^p^bpV_en`>_b>OboNb>_b>_B:::::ry;pB\\j:@N<VZ;N>?R>=r:]R:yIk<d:NZ=FZ;>:<::?R:AB;Eb;=R:=R:J:B::=b:AB;EJBN:?B;CR;Ar:?B;Er:ER:<j:F\\=F^kN\\>FbKGfMFhKP^lfZ;HnLGp<_\\KY^jIr\\Oh[Ql\\X`OFx<p\\=Wd^^`@f`KFZ:NZ;VZ<VZ@fZ>NZ=Z:R:]b:=c>ARF=TN=E;]UZ]fBHKrObLgZ[Hp]^\\KIvkY`nvyTE=AR:DjBHjB<jYfxOP[JhbDojb`dTGlJo][dDeR:OY?QCooBZoU[CDooBZ:J]<TP\\TdxTbdP;dv<entUJJm<::hTbdP;dw<enTUJJkQK_Sw:]d@;fg=gNUWJKw<OU?OCooBZg?:::Z^pt?HgJY\\cP]BPeSp[?og^OgGNdTIlbXoKO]<pcEPoON_OAbNqdP^tdfdbh`;fg<gnTWjJo\\NQ?:::::::WEbcxNSWG=fU;odlt@=ph\\tTLkoqjZTOoqj\\do;w\\NO_OK<hOb`TeDtt@jp:gjTPKopJZhOb`dZ`t?fpDfldg;:::R=EdPJOj:p@:::::::::::ZQ?ooFZ_Ob\\`ddVZNQ__Fcbp[b^rjf\\JHufnd>^dG@b>agbhi>Oge^gQ?^h^t@OnWHffX[opZ\\hk[_Oei;??Z^Wg=nb\\h`NVgG>fY?oo^\\eW^Rg_]@ddW`ei[\\OlQYwGnfwGff`pUobZ`taotTNrUqbjptaot@?pPHtfh`Shx@Hp?_peg[`ogZyh?n\\MaooFmu`jqgZP:@RhMkgtNRUwltx=<qbpPgHvfXSVqkZQnTip@TPi<xuRoSGXEYdmVBOsr;hYUYQ]R`cujqRoIWO_U<UDE]rLof[sBXeVH[h]cWnSW]GuWeeBigXkG;uVBUgMAwCADCIEMItOaTWKXokCmYgooBmaxhiDOIDVcWmewTUjlTLsYLBhO]<E_uc]BQKIDgWe=EeQHqWBr?gpeg[awE[uH?v\\OeooBmuGjWi<UsdktT_swABhKcg::ICVWFtoRwIFVIXqAchEDUWY>sXFiILWY[SeuIBVIpM\\uZxtfdM`qS[QQEESgQuCmt_mwM\\uNplO]?`JqUk?aPeunSyLr:GtfiCVqcZb@:Z=ZW`feQ`q=UGSQuFiu:k?==W:eu^S?RgGffcfdOGCEwcGb;UVRSWmsh=;ao;AChKkXAPPevMmOB`mb=wbNa=IeU@qDNv\\A_phOlvlQReLnNLwbpPgRasXNceraRhotLkVEwefeU`AwV?V@sHQuR;griktT_;fo^;Ra=EeU@b[awGh=OMaHUO\\S_En?aPdenBenkTt\\doF]L\\XVZDMFLOSDlH=S]EPRQK>YVkDmJ]k@uR_]W[TuKLPUIllHJkTu@drfAOW\\ReILkTuBTPRUWcPVpLE[OmhtKHODhOaRScxjqD?qdP_e_MTfexd_glYClQxgywDaUMMTketO;XtsE_YUmEXPUtkWf^OdkSwoUCqcWgWDGETQAhQ_x?gclitGUbkMBS]YdSxhyUh_uNOT\\sG>?fPqSZ`VPqslLTUqsjlWShxJhVNMTUuTjiM=qO`XRUdoPhTVqk[IlGALhEp?mPqAShilSYuVqQopRDXOE\\xfpjDaVWYLGtlNLWGulK]u]<qaQqWHOuhwOEnoplLPuuIJVIPd]VeQVE`WhuJjUuU<UUMU_]kYHqNUOkEkSelM\\OXEp\\UKcMSlQULdWmYLthsUqogeLupWT@PN@tplogLspuVGyif?kcpwGH]sV`PNan`vKYnVGfTN_p`c`hmr>xVxvCQnqOl;q[hphPynhIinO`UadWGsfxadwgy>yNnseQho_say[hOusIfoxugGkenrhfxmN_sHq`@ccH`Kv\\gNpy`eJnt_aeFo\\hqpyeNYIsUDSUHKsSXIiVuxtsE@Mu_oRXkV?MxmCrpKyDqvMsR@ogVigKMwSCCEIW?aVdYhuyC>Wi<xpedQjyNupKatQRuxRPNWqKnEy>twalLAyQrPmRQnUYq[dujtXY@JhqLEpwhujnYRVIVV]\\hAwq_cwvr>YaFHdgguJqwRXa>Xaf`lpxuWI^XIaHAxHHxONtqgrqose_q?ywlV__xu]^qmWifpm]Q^tha\\YiahaVWfcP`LYelOql>q\\Od]G_QPghggQoZhA]o@phqa?^nppuZyhFge:qwyN\\LYei?hunnh>vqw]Kfbpxx=Oq\\otAGhDh_uPqWVtIFhAHhD<:::::::::BoiTc_UhCc_SSLuxyPO`hygdsGIRkmRsIs?aPrQLEhwhujn[EibqprhocBPqmodOA`iGoFajV`nLpvUOqshyFIaLVkfwpqWt`VpdnwRXvtGdoWbu>pP@a?iy?p\\bQrk?io`brXklWv`h_MGjGyh^XxoW>Ex@uvDitVsUDMvQcUkwHWIg:qC]cwP=GyIFkwRrwwCyChAHhEh?uXq:::j@]nl@l\\PuuTJeUPcpK^LSUqU^N^?H^NijPfqBGpm^aS_gSo\\QqnRGmFGefS?OUSKVdgrBOCWoS>WbZSgR]GpSg\\GtBuB\\Oh\\qxDSUfeff?ggCHUgeOmXPQcRgwFeBnKgOCXUgBDmCSqfxebhcrD;g]AVGchOOV[;bnKhn?H=?DeOF>_toUu^eFpOgTEHRWUxqtgAcV]cgGY_]ScKuVSiuWCPoUeogFMHYWVs=iewV<mB`qfTGSDwvWEsIquUEX^cTKyDAMDOme`GWUOC[_STGfdosV]Bn?VPcrUEsNUUaUh>SFEGhNIgCQxxqXtqUEKwegyyNeMimUv`^>x>Pmbikl>yUQuoGbaWyXO\\nVaUGy]G_bhyL?_XpuygyWOrWg`ENe[ombhalNov?mh`cdqgTGuRiwGyx_vag?i]VlAP\\@aoHikpwhth_uxd]NoUYx>WenhqUIi]AyqpnY?txvappoaHaKGdaIlqFvphmAYuMxkvV_Y>nhiqNxemWhOqhdxcTP^VIfcNd]ansWnHOxfi\\RHuFXqLxcWAsaQqJApFAwXYnnpjhNdKhcuqpTgnbHsxnnTgjsG`@Wvey`gwtliouP`wAq@aeHXhMPvD^hEy[@Fe<P`c_jaipWx]OaaTP]QIfVQdepjoVtwI]HHpsol@iaoxdC`mnXkiwkSnspWr?WwoXlUhsNXuTWwsFf?vmXgjKocnIoTo_iNlTfw^QtF@hDXstAyVPix`o]?]@?udq_YWhowitI[fhoDijm?qKpd\\xklgxK^eMWldQsMWho_sSA]r^omf`J>xlOxYocAPcDHl;V_F?trOfHhpI_^Gyo?xt>ftmVv>Ymm^l^QnwYcMX`dYw<WyMNct@pg?f?q\\hhgcNaZOjyPd>ao^hyGwq<Nmh^hZgcsoZhPfLqe[neR?iO`_OQy?pi<parX\\IPkNFeUpvTFqBNm[Ajxvq[gbXxq:WokQ\\ipj\\FqibgawO?CAmW_ODY]iDiUH_cDiyVOiOWI_ODrWvYat>UCKYsWCboaDdQCmUVEghM?WgKftySJETaWbh[fbki_EdVeC>SHscfiAWbKEh;iGQCI]dd?UmwDSIGlCTx[SY[UEEcayoOEXQtMNLre=RKuvL]vOxv:xoiLM[xT@PNEdqY=KcLxLXo:ymrPNGmU[yT=o_FX_IIZ?ome@r<H`w?cjiZU@ddg\\x@gc^e;pfLovgwphWuq`ukWyRXfCfcKQ_mpi_i`gOben[^fl@HaVQdCi^ZA\\DGen`qDOgvn_rNadhiEGce_l[GyqnyNAeZ@q;oql`hmfqGyr@qm?ngGov?q\\Sa_b`x?Gim`aTpcChtO^dd>_oPm=HdWOb_`nopxV`lMPkswktXgr@wQogqwfbYkZgo?iqdfcEQn_f_Q@ddW\\\\N_TWcbok\\AdNgkMvvFOcVYoEX_b`dNppm@ddW_b`dnplm@DRNQUGGbboW[Ed?aGN::RDeBoeV\\KSgMh]mVOoBmCUkUceSDSOxrQFbMiF_dpCxlAS\\OTS[VX]VUcUPCUPCTPcuQ?SGQUnSeL?uPaREWS\\?uDMFSSDg]g=CvJ?gDgxDEDp?c^McP]bbGH[KEdMW__gskfeaRcKEtgTPuXM[sfIu;MsceYbAtD_FQOf_uUswFoaf\\cyichdEXg_erSFfSTt]dUSUnGyouHAkghcETIdZYx\\GewSiwOXFeG[wT@eBPqWAAXuwh\\UeyWiCQX^qtdccrehYIWBgt=cF^YftWdaAxUgslYUCGDwQxBQc\\GiWwcJ]tXeUq?hUoFYWdOGVnPPHEtLMPU`NOeVlIltQlpUybuvtyqgEkP\\mgyndPuUpvRuWwAQuiO<yQuqRc`LAtwiiNePwfiv;]n\\exkasRmY=QXyMXXEkS`MapN_qNU]YEElwLT`UqeHohXtS=OadXEuTNDTPmRvEL`Ml_louhKTpYUhOhxWyMtYEsbxiqPgevrxqZbwrMWtOFkhpvLisBhrXWmF`nlPc`pf]VqkW`SicIIlw@arhqCnaN>`bYg]VhSIq]ggcxonyv^qfjgh[PfuX`qfuPvvl_toHbrHpaOiniyQi^`q`S`dToq`FoU`d\\Yu?ytdI[rNqd@fRousN^TfklgZ\\`x_Qitwv@?uGP_\\WkVNfLarnFv=PZ^XlQvc`fe``ed`_ZXoBAoAwZXGfAolbvfVN_dfg<>seirKvj\\vv`>mxxlTHnKoeV^y;YuihpH@vsPlgHhdHn`Nfo^e\\OhWHpNAlqxnOI^^fvlOe]WmT^vUIrHvY]WAySiqihceyIgaGeViFp?yrWFEsulMCDItgSRXyWlyQ\\Xpp<YMLTU\\tH`jNHoShMwxwZXTMpWEPNemLyaxj\\VdIn]qv_yQPLqThSTXvuYKchNhuuK]MWYOTDnyWc[Pu\\vmxNhspBiDmSf?OU[oFhUd>eHHeDWOsD]EOWGTEvAEh]cwoIRJuviGRh;wD[uUes]?TygglEIyuWcqVMsfuYx=Yu>iDlYYOkvy;b@Gx=iYlwu[ssvSVRyx[GVX_upWbW?IoScHOEkQwNGWHauFwdTcVmoVeETTcdUAw]uSnau<YXksRPSI]iWBcubAsneh?kSkGItsI\\]uYWyKITaWRD]IdofPgIfkUSAfteTHwIKcTlaXG?ThYdtQChkiHefleuF_Co;dVCyOMsVIbEKe>STmiWKSHDwC[IX]Igr=dOiFk_GFCYQqrEGV;Ogn?IdOUBmV_Osqss<edgogbeh;_WkSb^=yZiC>ChlkWk[EjUEIex<srYESw;dbixgcbOSE_QEE]d<sFFAUr;YlQe`OgsOV>WwTOYZIsx]UAITvCUREXN;F`keFKEx?YIyb\\=SKwuoKf<ifrKXvcTAyqNEkCAX?MX;@OYMtcHsKyK_`QjfhX_v<vaoA^EolwvZEGxyoBOvrAV:KCimbEQWG]dpQEI[TCkihcER?CQyVn[frkGrQHAiT?;tbuDNORckCewB;ysOyRFeFH;UlQevyDOEbMUcSEt<cfPgirKfbue:OCb[Tf=HekU>;d>=VJKI?KcLEr;;GN?r>evgkdh_SQmhIwF@]BJ=GD_GNKSI?R[MBJ;GwOB:cf<YBJ;W<;DbZQNbMQli_^mPfMGl<>dbVeUilnWtLffcGocGrjH_Z@dw@uOHgBib@Nx:wd;_lWV_:Ypo`cTYbUihIWd:aZ>Pm;Qvsx[bFwn_b@O_vXsnnpea_B>oG?xWNq<HdWobIGlN>_lhr:HqFHlNFxhFkNGdnGdTfjKp_C`eK_gFWsJop_FpeFk^cg]g=CvJAWEWSV?EGmTu]rrMF?wGCqW\\Ee>oR??GbiUs=hBMgQkGx[hWkf]EGceG@=wPEee?wIABMYwpuD]?SwOd[uDkUgloUeAIQMHWCYE?sDqtEOdBgv_kTowC]egUCYiMXLaITIT?SxOwRcKgSGY?udUcIqGYvEIliT;Uh?kWFsrA?cjOTiYBZMe^GyFMF?OS?iGkOFwAToai<[g\\Kya=Bo_TKMfDedborMsc:QgLUVN?YfGsvmgYMTmihMATcgBvQbWcvcMdLMVv?cekXucYlyh_]R]StOYUIExo]editBUWh_gceFhsHNiGMmG_GtHqtLSdcCixmR\\WIoIxSesG_TGQT`SeSCgvAsnQhuceVCCcaHrCd`WGD_WNQVXcg=uhVKe@QGcodrKFNYD;IhOCwd;F_AGDWDoxOjtp^@LgEWreKSxP=@[_OrBxj_pvc@vUomCO`_>]lQgZpdgqnjHiCNuvG`jq_KWcN^y;QuyAZOq\\bYoLOnPy[\\VqmHe\\Vsq`]O_ZmPcsfsOo_VvurasmivPHwliiYwc=a]kwqhfnqhydpcXwxgaetxY?t_ScTwIsWXYGXsSCpkCGOwKOgXmXAObCshakfseSlecrgBRCIvoi_=SsGIsYg_occWho_DXOwbGU`;TnawpsdVWD@[TtWYEUiwYXOmXNeG]yErcEhIxdIIo_YM?erMWgUf;CWSQVMwc[mGyeF\\qYReTr?tisY]IwxodvISqExntnqdwJInr]QC@ThTKIljohu?EOg<TneyJqLYexPIKrmvnaK]poLHVXDM[iPXTpB\\lTtxiLo`\\tdAWWTTg^`j`gUx_V_tT_rf``hw`kHuTgwTQr]islAah^v^hyrfxuVuuXaCOyhGsdoeoF`poxphlgWsMfsRosQ_luym@W`_YrIxgPV\\GhxEyrxImgggLhxvFem?hCqnSH`sX]DhlY?nm`ttXnKi\\IBqIf]UTGchcQTvpnUTRIXL[hmo<K;QsvMLiUNsdVGYv>dVoDllmvDaWP`KdttULWnmWyeMiTsFivWAqV@OO\\khIkbUWvDY]yLPTpK\\WeHWnYN>uWN\\qZlm;eLdaqRPWE]yEhlNLYmhrw`PrQVG\\RmPpFeOCqVjho?hP=mJpqPYul`dpGAq\\HsYMuRYrVMydHKDIpdmTvHya]x>YsN@NPIwh<onantTneEYuTWb<vaTxfusnPvvEsV<Qtxs_pvITtfHsAeLSLpKiyEQwCDqxYTLxSILmUHvqTPdMOQqNOLxqTqTxpYhWaUyp`YXiMxmktQjw]OnhRkISUdngto@XoJuruHtN`P_hTFmRKeQ_Px\\usR`qk@MI`v_XUQhLcTx<qxTmRoDm=]KSfhN`ptxnJYuLxjI_ukp^IhyBIwCiggQihgcs^_MA_sxhfgl[gnmx]mw]QvgmHsQagvi^EPcxwtA_tYF?QxOAeYoDQWD[UWuSexIuIidrQXHCtTSsrIh_atgkRh[yV_RsOFsKhnyfKSUhUSeuc>edxmvRwsrQe;[F]?gXMt_wBXuIPSX?exXeVLQTvyMgpt^hQxPRu`yMYKuMMmqt\\AqZQRGxVD\\OdITI]lGUqteu[XJ^eJCyoT=WHxqLxn;`dI`k]oouIdenlmiga?[gneENyRpmFGfUq[VVxtIhph[lVcFFdCn_RV`UGyevgbf`^Y^WQuYHqMgoFvrhV`WQtww_nfbfilGniEOwBHdeOudaeLqsHVoZpmQHtnQavXp^`toq^IVn_vn?idmWbnxY_edGI\\[trGb:KSvQF=yRh]t]AvwOcIAVNahv;dNUYvkt\\?TsCRyYG>secOf\\KE?WSuixpKF_?rBUbMKvikid_SNaVekeBKgxoDYHqCusYmW>\\sLhXgLLciv:qo?pwVqvdaYRqx\\YpLLY\\eJNLKTPN[uJTyP\\UspiNTHXjUJoPj?dKK@rATp[MsCiPcuMkyNDLtN]yJUURmtoaVDhvFXMdqSgmxEeKgMOjAyOTuLitc]SrIs;eTPHwQ]lbMYOXLgHWKIx]as\\HlNIOQPpHetwdS\\dQE`nYEkPtSlIXMXwMPOaPL_HkMMLUXU[iRZYoe`snpLGDlSuQZdsfxLR@TTPjMIOlPVdDkHDlNHxpToDMvNln=XU?dqFulOtSLDOLEMZ<snAkcLkhLkeLkgLKmdo<As\\@wOdrP`rFuPEL^CN\\>ifbPaW>[ApbTWe<CC?FGgT[KeWEFTKWe=W@QEdUff_WegwBSUgwgZocVOsDYUbWBaQFDEVVsdlOfpYfNsrO_skWBdid;cdO=YoQbbst<sbP]bb_wQ_dsEtQoR=gT\\chlQsj]fD]BX?YPsrVKTTeS^EbXiTFcDHgHe]Wkosr=DOeRAoRRMdccDlkTK?YQGgLkSYKv\\eVAOD]OioCUkcsvUcMegd?Teecl=f<QGQKuDOFysu\\cckmWx]vDWEhcBCAGA]CTWVqgT=aCWUckUhaUYoQg^OsgQs?EwKiR;AYZUcW_GDOdEkg^GynAGkihvWbH?YbCTtovFMXlEcNChpSdOCFW_VeCrncBx?GoaXjSWxUr<WEPEtIOWdaddMfPIh;QfwqwWgeQeWtkt^aMNPtdDNuDuDis>mMK<Yl`scENKXTcxoXeQpuoDinvhQ`DkVQn\\<VnmYAUX_LO@qUTXV\\YxgYRyLuZmtg\\mlTsDyjyXK@tWxMSgyrr`u`Dw?Tm\\hXRUs><PSqO=xurdM[\\k\\PpxenkPn@ellLYWPynaW?@o`AlMDQd\\tceusQT@tvsHsT@KqlMXisKlVrYuNXmOmvomQq`v`YTCUnxpTE]XXeyHqPyIXvUqdhtqXwQDuUHMUYm_XxkmRsYxSuKLqWxLspXumxP_ltlqYAllXEOs\\usEX\\qpLTo`pRWmWWevNuKpVsLpgtoaX`iVpiMh]rhrayaGhdshrtv^J_tH`jpolPicwobxQ^r?a`PqXvkkXk=qyyUEgyVqTj[xhMuAEDXcdfqUAYR\\uecUWecSMqrrAIpAitusKwxp]uNEbNQeCSUpMHqofdWT`mfs;yfwDMuXf[TgMbQmUCChqaD?aYRarF[tssIecxecGhCS`YHWmU[QihEwD_frOiCUgLswmufHwhYYun]Em=ugaxmuDcawGmBHeDGmtGsdOGuPQIMcV^ostmvtAxDQFYwcUysgMh_IrWCufosGGcuUytoFPsFmgDPuvTOthIDrSTwMfQmbeStTGHAaXGegeUtfuD<mhP_dUwvKwB@gxQAtoUhK]Rusy^QRGgyi_CxUy`=iKKeO;Cx]XwWS]MvKoSG?yX?sAoRSwfGICAobdosxuUiUWcwWyshHGrjOEqegR_FrWxYMxUwbsEy?_GHIdxsVhasper=Ydc;yxmwTcyk_tUiswikAIWA@kiXX`MvmMtMTLRenTQmpTYEIyHMOYYVH\\mmymGYlYisdIpZuYQ\\k?UrTdqKhp?mvnev\\mSLaTeQRs\\W[dnR]pomMFluBixvEpt`tsLXOQwFdwWQksRliDlIxU;u^OGXkYaMcJQTUusLAFkqgW=igsdyYIqIi]kd\\gxIIc<CVuUemiDAAGQKrc=cwUcTeFVOi]sT>SWiyHlUtRSvXqtXYVDYGf]y`UdHMcBeUmSSYQD`McGQi@yS?MFusuPYclETGMRcWvK_SMCctgeY]dochD]wemIAMunQdrkuVYfvwsy;b;adycwmCFSeXv[hbch`kEsUxYMSUkcksuTAdGOH>eVgGtniCYofyChTkye[Hw_UYYR`MiSAu`yrTQfDCWQ_WgUcEQTleVL;UtMvfEeUWtqGWdsFxqSiyClSduGHISfryfxmTGsvFKxgeDl=ECohtOt^wepkEGouqCc_eYM_x=iRjuv<iVEsYYeWDCgusS^qCL?Hqurt]vnCWrWuW_BqstWIskESlwbUwdL_xAAdnouYmwH_gx;eUisOic>eXVixcCRSWyk;VliUS?gEIfJqrL[DOgf>IyJkRVWuoiscyfoSuy;rAEBKItYkyVsVxEx^mrCafHOgmeFOaXK_Up?hsOS\\cySMTrEXsIho_IkQyGCijuVFWtZiePiiRmw_whpWTFchosTNeVksfR_erOxhwc[kTVoiiuCxExSkinqTbWUMOe[CCtYghUcIME@gy^OdPEs[GCWqb^iiRmwbqx>]uUEf_qcSEwPQfcQcNGiDEVVAFkmWHIU<icxUV<ODXeSw=WPIeUkWM?UGuBFeyBcTeUxKcD_sTN_dn]i\\eTs[ffQVASgcQGAssLwRpdqr=Y`urp=mnxT=`oGpvwhOCMx^PU?EopQlpirytXOXQL<Uf\\qKLpqXT]yROakiUrePKyDR_yrE`mdUx\\tJ=qrXmVRQkpmXXMKneYEIWp<Ub]lptyHPok\\mYataTphlm_=qDeLNLkQlxaAsH`SsEPcMT_uNIMSKySCpUR`OUmy>px_HSsqjAHS;PmLqx^pq\\EQspv@QtB=NC@BcbD_RZ=\\;>_DWbJ_l:`jA@cLF]\\^`JFsL>lCI]J?lCQZ=_^?_`K_fJGoPfbLVe=hrP^rBOnBAmPHn\\__<G^KqlZAwnO_SF]cGgN^^DH\\\\`pen]>PaOh\\kXe_gkDHuKWe\\wpJIpJqdKHeQwj\\>_AXtNikF>oAg<ut=;fuScO?f?_FQEhVsuKAsNOc>Qg\\;D_wD?GUhGd?;ScgeHqFW;XMgtcAv\\EFX?wPqTOCSdCdjgRQIXtEh_whfSgdiWtKhhsxI_wxweswVIETeQudESmsGrugLwG@cFr[fwqG^eiCeYV?YUqg=eYe[dQYwviRLiTn?FgUFNGdNAGkEUGKcC_hAaHgQWeySbGwXMwNWUg=cLswA[xomrpyewUwgAiykRlWyagW>OVCWwqgSDEcPiTm]rDeukyc;mTheGHQTQGx`ifBGgdaVGSbmQVEsXhMUGir[McBqe_EI]AYcai]KSYcf^qfNmeeCCqmwgixcWSUCeSoUgubHKWiggOghdgtESfL?Y_KsamfgGisuxhoUEuWM;yREfdOsc_Dkkyf]SAivDWyD]H<IWm?UOiUVyUaiBKCTecCvEHWKblQtnoi_=gEoED_E_wVdgCy?TsIXU_DhgbMCYTOVOmsoWuTcUFwVOCWIwta?vVuvvcYbWxWEcckso;vwGYbWBmyswewxyFwEsnYe@ISyIhusu_YcAGeOsVfmCKwscutBCwY_DrSci;hlIcH=Ij[wkGSVCFQgVM<wgMuRaTeaoDqXUuXqxukhtADncIrrYNhDpiYlCESmPqoqlW\\l]toRPTAxO^uoqyOD]uQdNwqkPMtcuNOYRHUsP\\YHaqmMtXxw]IxETSixkIuyDtVGds_`rcURi=O?anvlkwAQymxrxocxtODMfXVQXRiplRXrCUW`Px_YSDetrDqy=jrpo?ps^Yv?eyBimNetbummhQvdx_ik@eQoXoOpvjLlI=wfpw=eLvDm>mW@]UkmR`QuBhlw@uGIW``yGtM]dP]eWUTOsxVZQvrUyWYuCqTcLvaLsXuWYEW_umCyv`Qs[\\XwtmPlwBIMwQQsXYCptJlVcqTVdw?IMgiWaqYi]NqqT@QK=mwR]N`IPsqpqtlqHyxuwbymbIvXYKNtmoDkWEMsLOvdsbpoDETmuS@XV@tyEypiXrciVI`vghKo`oKpT>PLTQso@SGMwD@q_HkM]lLMUCIt^uS@It^lQqaLXAYuYvu=QDiNUikxPqLeLKdRjaPv]yeDOtxQgHmAYjfpqALXw@pqmYGiqstrCprbdLTTyYpYPqug`uAxpNEQKDuvTmIaLIhVxdphTqyXVganQmnLYrF=vOYnoPXMiYRhrmuy]hKZ=YspVliYyerKtkHhVUhNhlwD=Mjuv=ETTmSnF]xnap^vWXgQVdxglVV]=Qow>qNYb[yfmV`m^^^PfrXtGI\\`h[PQ`LQyPX_vggCydOHbSygovbJYt_nhepwaPkinh_i[nHwDXnBqs[Yas_oxnrFxaGPa[WjkvmLIw?ix]iwjGph>uDQlP`nTpvMOvY?pNPv^Ytd`aVi]_gxyGlcyjyPxh_dHI_y^[SN]gHs\\QmwwZQ_\\mHcyNZ^wtiykOq]AqrYN_QpfVfdy?s\\Qso>emvplIop?f]ysvqk^>wKIvIyy:vf;yxrwasQppafWYp@Xod_pmarUQxjOg>AidxoJislhjgo^TAgMQxjgnBHwogrxwj]XlbaiYicyAZux]eGkrfttN]pqgPHw_fyFOpH_kbawuGlohdFpcvg]_Fwxqbx^iwwmV`oEPlpQah`bcHatv^AGsIpdlinsGcMng_qfNPvmhaIolYplthwSikiHs]axrfkKidWvcRPlqO^PPcaN_cg`BAx_oongyAv\\CIwqxbTGmd?uUijVnnbHuqXtFVtaPmeNubXoKOdihtQnrDnqChiSnwHxk;haO?o;yqF_mYOd_ogYFqKAyFfw?GxCgkUv\\cOjHoarn\\LaqMpfMIg^XtAO^gyphogVFmWYugam__dcuFifv[TNyWCloYHn_yVcQltyqAaS@Eu]Mu]IxwAuM\\l`inI@TeuYoQOfxt;xrrLUReMeQTfdtUXka@TYaKXuoyhoBxRQtoolxL@QeAO_pS;DoDYVoercqV<XqCXU<mU^QsgyTDdXAyvHPvPlskLnKqXhtSMXoODQvPVQ]TSImeAvMtV<qVVyiVQkeOmKFntNlKxnS^BWe>gYliX^?ec[ULkyG]TWqt^eiKuvNOSBKGiGcykH[UUrMi^_FsQhAofRsv_oc\\UWjAi?QIlCbW?Uy_WOEYNeV`igcctY]Do=EIECQkCnGubIGMutROhZOxOqCHMugOvrSxc]gIETiKWLoYSGiGoVRgsaOYEMsKGEYmVAmgeSRikdVyup_vY]tcWENodTeWVei?UHech`Gi@GGh_WuirIYcxMvniuasXPwToossUx[gEY`tw\\Tc<yTHycpwE=MqivMESQPTiyOjPTiyOtIriPmXXv^aq=@Qsuo\\xWhmyy`xKhyIyrx=ldlWnmu;yOwYoBypQAyy_nwviDxy:^l>VdYOkWFcx?__wokyelakopyenyLG_Nwl\\qjLweDH]e_yyGwSF_xya\\G_N;sD^MxM]yxSB_yI:yRfcbdQd^ScNsT^MsMiFpcucKxl[D_oiBChx?c>[vt]d_;YlWV`OBiGXOGYSKgFKglCwE_RNoBP;DoSB<CGBoeI?BfCVdOcECDrUDlmwK_hlQC_oRrCYAefLsG<MTj;ItoY[mhL]UVGWRcCOMWCctjMdDUBB[dVceKmfEmVBqTSui[aWT]rP]emee?_d\\aILXtBqp_Uun]n\\YUlmlndnTENgmnJHVc`nUQnZISF`M_eRDaKL]yEUyLiJtTUeuTldUfhRmxwaPJmxmi<tgaNnLyUIRMtweIndEQf@Y\\utx]WoeNFtTLxr<xShqodYTqdqEUui`tKw^Awd<P_QgnTVdh^bXWqe>tMajM_stht`vld_e]y^af\\cAoPQuLOo;IyMX]NgjO>]@g[vFd`XiSpwh^qNVn^Yd_Fiuina>vyAZZh`@_cj@iDVcO`h\\xcoI]nVtGG^NYmG_av?cLgd?IiOf\\oxZGYZnpmcFnVYfTgdZpddQmG?`Kg\\aPkeO`t@dq`b]`sShcaIrmQ_LgpdAe`ijNhvgodohbTPt?anZ_uXgc[QjmnlNgw=irvVl_iuPOvpynJgjfvbsh^dqiOYsi`x`^sQfySQvrxbUpy@XglhlCIaBWvIvoKFdmTa]XcuXWkdfgG`]YKitIaX\\gdS?ws=wSIc^SHEoxVOudYBoQfWEYHaDmYIPeGyouCcBvEhIGbryrEif^_u`yVVgCvEVgGDdmibmxPSfaWr]eV=_sfMrJstO]hFCFrgXU_eHCDxssfwrCqhjeVLGGVWuP]u^QVPgcXksD]ukmsFafvWbOWiTCFTEW\\Iysmw\\IfncY@Uel[Uy]XysVsGrcgBvITRqH_ebOMcvmsGWCQkGdwXCqxXWXNCWdcdQScyodVeIaaDAqvigUeirEOT@isJssgYS]mr@UfjYuLaYFWxLmfpwXMQgEut]?s[ESj[G]sDvkd_AtS_uN]dcGUUOWWgULUeg_hiaYXsbOkyf]gv_Vuqd[uHXyWb?pE`MNIl`MsqhvodXrxVf=XIuovunIyR?uVkmO]XoCDxhhPkdSMQmQtR_ULyIVDyY:@lEqX=qPLdNOdThtbwao[GfrfnRoyFHr>_sQWuGQwWqyIaZIQwjYxApbOAqDG_cHi]hhbyirQpcwncIaUy\\CvbEggo>tciu<py^Ntc?vtWxYhlkAi]_yRXy]WyvpxP@gryxGOcD?oaXbZIgrqw\\itDomxcfoyQKHwAxqmiGKsOkrIIW>eVpEeDyqFqm^AqMQw@lweMRKys:mXxxpjtq``ufDo`ULAUM@LyElP]qxMMKIYN=@s^QwSHv`QkDuuy=jJuVSHXHYLPynuyORauDdtCXN]@m@qmPxY:PuKAsqhysDo`dNXtNTqpodNedwxdLw<U_Em=YvlIXHIMHYPSqKVingeLYlNImwkIrKuoKhms\\Qapltg]shb[_ks_`gorvPjqHh]oZvY[hPcIggw>etN`?XgYWpAFsQHsGigaI]lofm>weiroYVmetcWTkyoubN?wb]ID_DYmrYIXlQe^MuCcxv[UWiVowyJGgAyI:MHngf[MIDkgi\\TNDPLaxjMoStSHQlDxNC<PJyWMaTsaTpmqlxQODtpENAusQEYVHUA]kHyVFAOe<xHIoQul=EkbDT`=ymyMl]YYxx=xY:TMilvGUYUTpPYT@lq@xoNXKfqrdpke\\xc@UUqSLIXLxs>itlILQLvopSeXnKESyXN`MybuYppQQMJsQqUlXdhutHRyUt^TNlIOoLUWhm>tMc=xoiv;lkCLtXyM^qQvhyYPXolUiEkqPVEDnspnU`N\\lKgyY:`UDdYCYSqMrc<yNaXxxvwxk_AOaEMh\\tsLlc]oKYuYmRqhwOMoolKAPnKTVTmMXxSQTqwuWGIpEIWpyXQuL=UvbTQCiNclOOloJupfTmIUlsTUa<MIeSWImO]n_pwQptAV`kWn[yvF`rPabdW_Mq`xAoRXr>x^Ap^tnpcQmNhbuOiuQ]jIo`hiEqhPQfaaDQUZOXxgbq?YY[cvqC^YTUOuOWesiFoai]as^_UcOetYxCwSQyvP[XRalM`uclrGenVpSfioWQTMlsyHnCUuUileqMOLSWdsMmKMhsrimrHPflUyhTCImliVQTVwptwAuhHL:ilOUy\\QntMn\\hVV`NvEmwprrAqyHpOiVnPSgAXsLMrUKO]KNQWtHpWXsJtx\\QqFloqhW\\`YTPj^hwCav\\Mykxn]xxapy[ipfdnNxM:DQrpYOyR^ALDDlXAoq\\XSXUqTxPPUaLmPHU>xvHdMylTSMXj<YV]TWEmgLOKeQgHttXR:AsgeX]mWOyOOqWPAPEXWWhrimrvYVZiPfIWWyMAysxavLLwD]j\\TPMQRIYsqqny=JNQRo`LoHrC=y:Hw]AwMEvLEO<isLevUHX>AyHMUoiXiLQQxU>@xNPo]qs=HNPEmXHuxqtY\\tXaRtHyPTOJAY@uUfIRbXsVIXa]SEaWNQOfysQ\\UuXL^IuRekddnO=VilwyxlRqPNpuFEYApVamNqlwyVpavpYFssG`_W\\oXhMp[OqsFoiVyi_vxH^uyw?gRNquWmCFUIqOiGKfyydSorBmYYkvD]YRqThcXSWusydFcrBmYYGFNIVsgiBihr?xgyCvGXuYHy[CNIvGCiLSVHygBKSuQHy]S_iWmmeZSVH]g^IfNKCNsuomfRIFOOSnMh]cgvwESOE=?Wh?WkeBmcto=snsD]ig;MtVuBNEFroseASE?TOGBKOS]Mf@wcJSV@]FN[vfeFVCdlsD>KCZCWGSTVAtNor>mScGVRMRewEu=dpOGeAtnqVMMbVEiOkVRchA_hdsGNeDbSFWOgBOUm_SeEHIoDdMu]?clciBMF[OcZseJ]tdKYI[bhwRCeRlosRCXPGSoOCyQXA?U=EYO_dbiVUGSGKU^CEgcx[cRtGd:OHa]d@?eoYBmmUJ;YE[SR?rZAwL]b?KgiKCXSSKUDemVJmcHAiKAdn_XUme?WTPgs^eRTMed[TZ?sbsDyKhWyF=Gtnir^aiCgtpEhRcTcauZ?WUKBfeuEWVcGFD_GksTqCu^KTPgtmdS]aLbILU<Yv\\YEeNpuxe]m\\EQZQVVauGhP`tOX`nVLOotWVtnfpp\\UOoei^NlbafohgXggEA[fFukvpeNxLqqfx_GQ_<ouKFeoOwlOwtAy]_]kWpXNoiisHadRWd>FqN^pvVnO_tdhcAo`UNopq\\MGh?CeuFHUVdYhxurUSFpiYI_UOOVkeIYUFkwsYicEMIdKYaWWoETKOxdSfMUGlQGfat\\CwbmV>gguocmccQmS;Ey@_eL_STawMCCqOyPYsLcIgaXmcbUSshaUj;UvuBqMdootPytJesl_GasfawR;uWPQg\\?TiqHXOgeEtHQYvmw=Oty;RZUTqCxrAfSMtqYU^_SdOioaBHSTSWv^OBQmh<UeH?w`_VVeUP]r@]XYyrNMHHEI[wxEew]Ys?KwkIeEmfYosGqxgQRpIYnoVR]iwaEa[gt_eomS=CwouxaIrIcyRWWyuc]aGqUeWOh_gVdye]EsYmRHWyGUdiQr>oFtQfwiVqKVMYGW[yeCCQIUDmycAw_YsAgR>Yv?sBkEI_QI_YHLsy]ughYiQcFxCEi[r`qbMUUmSWhMFO_wSItrECDIglGGh?gUGuRgTYWUNkRrGV@Ctrwr<;i^IhLUCViWlOg_MXtcUVwDKIW<Gd]msRAVIYD_qfW=iVWS?ceTkvbAvDotPQfTMGnciWAG<EtmarZkG_WCqaEogvcoDGmUX?itUWwuc=]e]Kil?EBgw>iWV_U^qXiWUNohmQgwsV<=TGCv^MuvoshUFsEwgSvBsdOYCjcXSaskGyssCXAymaB]GXpqvh]M=IvTQPUYxI=w]qWCqvvASimOcxq[trFXp=mNitYx\\mVituLl\\\\Q`hmoIqlXpr`q>gvpnxQIndgiOn[YNhI>asA`Oygdh`vFmIIwkwrMAhAgtCqirigAHsHgvDAadpaGGlu`kVfpKYvRxqYNflnggWtPpZUYu_g`cQlcpujguGhfQirZyrT@isyfxvaaXrCQsKOk@y_fahpwpffsc_lNxeKpsWHqTqlx>gLvtTxrT`aKIakycFpaXHd=Qw\\p^`OpxyqpaxKGpcPfMaeMY]?WqrFqwY_IHl`auavgONeK>Ecyfatmacnsrb[xrobmoeHqxeifd]Uggr_Cyomi;IXW_EuoBhcfb_US_eNciRoYauFgIeSQrLOgH]iukFiwvQaDHAUFIv?WufoRhiCBAwCcbfOiImXKsXOYWxovGaVMgXNetsAtC]eYKicmgc]E`Qx\\QsdIfg_sjeXVUY`SWqKYUahQmfGmGGmTAewdyEqsFdivFEv@_yLqiVefHQd>qw_AyWwIuCwqsSmuUxyfcEsjuIDIhQSdb]cTmYEYhvWeNcSnsR?yuNSReosGgraOT]mrPAWMexVCuH[u_gwTOiVuVneVsuiaKxmOFXIy]Sbb?cc?SqUR[ufWev>YDuKUxkdlgbBofrywJySkExrmRNOwvSSxqtveH@IdpYvMCcmIxlcYn]rlabHaT_kbcMiPuRMevlgSb?wNCGiWdWmGIqVQmRAmIEEcKowbYh[mtrax?_hsAirGI`QhEKd\\ay[qUxgSRQf`QekEwGwgQcXOScdQx`ctK=SQQtpYd;EvWUSgUYLuYMuEmIIwaH][EV=uvEeaOYu[uqiwqOHwsfUExNofKuTkEgTed\\otQcRmqF<QCNeykwsbyxfmbdqhdse]mYrqwAis\\IfakUhICDoySWgECUSUehcwocdmEhauHlOWoyI:MGAiupWW`gh>[IjKenqHeGuo[XrWVX]Ut]CGiiV]UVouayv]OsmqwhubbWhFwUK_V[Qv<uTtEcymCAecYYupeuceyDoFoyI:mWCQWaUtMuCwMvVIXnGdH_YS]rAYf?ufy]iuufDqwToH]_rZYEMoRUaF@UdhqDkMYUwsHYddcdN]Ij=ukasHawTqFoAe[ysSAvrkiyGYpUYakgxaGYcTfeCduh]YdN]y;OuMMbkuGNWGk=I]adxwrcMxoUhEibQ]sU=H^EwVMckygJcUHqebahs]VEWDHMdGmG_kYbQicMRGQHLegNOXDwSMabcmUjigx_veMTrGCy[D<WYGMI_[TncvY?eQer@mGHAYQ]tBcTcSyYID`IbW_SjUwEIh:=U?Ui^AX_OeJsgvovMMY\\uUdcCaef@[ICKYfOW_OUGWU<IgrOS[mghMDH_guciC[wLidCcduogn]eQcb@CWnMgU_xrITwASQmGSsXPOsQ?fQ?Rd?DPMULei:ESbySOats;dTwVeUte?BQsXIWcDCfk]dmMrCMH_gToMWVMExUBDAxwgWxos>OW=_XNMTyAtOYewOgIkG:OFoidd_sYCt=iGEwHI_hA_sZMXCYc?QD_QutEvA[c`OcW?U_eeGmGcWC\\wuMKhhoWF]DOGy`EBDQDHCgy?HsKwNGwqCIyAVMwwUKhfwDa;I\\gxicBOGs`suq[VTpvAqTy@m<XMvyTJ\\P<qttQLudY@YtQPvydVWHqlyY:`NDhr]XLmEMrLXxYvhtvi@pNYqNeKxMQKXTkEmnyKdePhXxuqJSHxQ`uD`lYXVpeMcLX<AomMLWdRmQn;qthXjdTXeLsv@UeuSMeOW@yFHoFaJt`KQLrpdl;ElBxMc`L[MTBQpbhtJeKFMVb@TT@yjLTm\\R>dOSdlRPklDnxEJ>ypJMKZtLIAtLqRMAt]`SbDsDlt?hKldMs@jG`P<ySTdM=Yt:EMSIYfhROPo^UNL]mdeLSPWm\\UXejgPv\\=QtTKDYs=LN[xPK\\qC`KWPs?`kkdR\\`N]lUb`xUhiWfmR_vgNgNIwH?avfjJGgP@abPiow^KWalObLIfUgkj^Zd@obgc_FepX^VIby^cdVs_O_H_ed>gmPa[asAoivO\\BonModMgmUwi`IcWh`VWfTwrNwwqpgEYtV>wkofWIWwdsesxWHs]Wk]wayI:Mv;Ytx_wy;BcAYoeIh[g]kci_ieCY_cFu=xoaIYoY@CGsQSCagMuv<QgMGUXMxG[xXaVU]x?UegWYU;eT=srGYsuY>YiIQPhQSgXtvqkwePRLOUaXcasDEnhiUR`nQTKLXXIpjKypIImSXLVQTPPqd\\qFMTh]Mjpl_iv;QoRpoGao?`lthwTAMa\\XCqUQPPqdQXano`nuhsZEuVaNvUrA@Rl<pIemBQT_xRTxjo`jsPM[EvEIkppTDesj=wNitDyJAEO_uol@YvarelWAMTuDSAaPGAppDw@QP`MUaaxslTxuo=UoGMmaTPSEsT\\t]IrKu\\`amU>rOY`mo_no`pnmHF_xpZeP_Win>HgZYsU`mkGgsG\\q^]nQojvl\\f_VOvjAw\\^jN?pP`]Rpx_aZlQgrP\\N`fbqux>ZdYephn<PomQ`VAYeSdEdsWe`Udo]GU=S@]TsWD]OfsIxrUWkgsn;yM[YuMhGghKuyGAs?OdsaBaAyZIXa]DcauIAvUYW`ycjgwUihmKsDIBasE`KGvQtagrA=iPAI?OTpkTPAhuUUciWmGB\\wuMOY[=tV?id[SgeBKov@CtIYCGyST[e^Wrl;ynoY_QSlSdw[XhAVVGUPsiLgFFQEtUXyMfv=sp_Vm_SWuTRWxy;RkuTPMt]yB]YWicGy[cG]TbcFc_GUqVRieLqfWgrqUrDOY]]B_yRgCCy=dQovreDoueX_YcmEG_TosT[QG`sT]mb]IikqDPEXlYCGcUAGXi_c\\obEmSjueDET\\_u?EXjswCIDrytAOVgiRyMxOMghgFs_YVCen[SjgHaoV?ErlACxKYGMybuD@QgrUylesKUxFOE[qDeEsKMH[UWkGin[VK]tpqsTQT]iDG]tWAybiceUfyGWkOEVEXGIDoWEqwVFcuYWIjcbsUW]IguUTWICx[b]wCtkYaYcuEICahsEVYkXWwt:EtoUxmyI:IxpkUjiwnMfGgio;Yy]TdugMmGcyvxKD_]iyCyNOYIMxV?IKohQcVcyB:cyMqX?wtJ;Yi]d\\Qe`SU]gdsuYNIGOOxFuxgWusGGswCxmVc]i_whGqHvocV_x_MgGkgHQvpAfkUsy;R`csPiVDsEQEuxoFEIfkqxZEwkIcnIVKqgViyGwDWmRJEcuexA=BNsDdaggew=qiMuf@wbOUiiccYAbWAuECeiSf`IC[CwaOIOISUqxj_tb_i=ohm_RL_YdCUUeSu_VVCYkgEOuWeiT_ED_sr@?XMISm_C?WskcBvyI:[UqmwESDdihC=XP_fwccxcT[UrFif@yCAMbyWiNYg\\=CpehjYvk?R?QW^=hdWGJiHmkcqWvDcbLiHEexAoc:aGE=IOmy;OeNUHHyGfuDYAhuYCYQeoCVG]uReROwIngdu=HsGXuUhrQg?abrETDyCWwehMdXgXV_t];fpGEv_VTaIKgeu=XocD<]uUkRkkuN_RGiwuEfYAVtsviKsiUW<EGmGwaOV:wBc[g\\]EvAcMYGUeTXcsFiWW?u`AeN_uwedIKe<eyLMSJcchURLECtOvTef;aXW=eDegm?whisFQvUQI\\ecJWFe;w^OI\\UWkAf[sBdwS`QX<mIowVqEx[ogI=CNAGI=i@cETEV@QdwKwiSR:kxUohyeV=YSDcgykWZcRisBDMGrMVVqVk]dIkd>UWgcv^YVBqEFifgQDj?c@owfMUX]RyYXlmu]KtkaxGeDr?TgIB]qTYMS\\YtkcdXyWGGI?IyIcXDEBmevbaF:_HhKHGAx`_Y@EcjSSWibjyRdgR__XAGDw_eYEe`EExCwMQg`wDKodBIG<gFCkIKOCxKHF?yp?SaMcVKTSwdREcAEW\\cuB[T_?iL;gDcyJYs>UC;oG=?DCOfVMb:ccZKSLEBJETLIBNcb\\=cnKG`eDbAVLUR=CG]]DNsG:GujOBZUGfceeCTnaU=WCbecg_WPmVQiVeiXa]tVQv;MsKErw;RokSwEdOaXOYeGQx^Wt\\ICnMvgIrKUFJetKsT<SF_Pox`NdlQ>HVT\\XdDkqiVOLlAtPlqUslpMttfdN;ilPHXODUOPlGTMSGnOOeFgit>hW^pjynLWptVoFpmOW^Q_`A`xoAb\\qmcflD^pEQ[RvxXAuUikUWlwi[tH_Ch]otNkDs_umWcmsiPWTx]eouXuuyWuCqSrWCCsOYWwgOcdgifG]uPsd;asbKYRaC_YE^]dVIY;kfnowr[VfeiIYU\\kw[WcQoTx]etQeGeIGWVmqFNaGAytdMv`YE<ohPCWfQrg?IxoFYmYoseuahCmf]Uyk;hbEimEg>cV\\MeKufktxe<mp<u^<uLQQM`lSQnWQodTT=hsw\\PRImgQuQARMUmKdob@X^IwolpCyv`ekkUu]EoolVTUs`qJPMpTYlkArOAUneOGXtClnp\\uZTuRmQ>YunHV=pUPDlphOtXVpIl@iwqhRZ<TjexRQnEiK@IoOatbhOVIx@IkQAnkaLXEwZhJSUSCLVHLwVqQ_XSmYlGhPiYOMmwDIKolSbeYKXwUuL`\\RNYl\\EJ^lTQEkalxfhMspTjTsXLNrtRglUbuvhEPNUw<DnWHKKAVdQKMISQQJ?MWtAxa]saaU>@Xe`WPPTCTsImNv@qJlOGEx_mklYVq]Re]u\\Qk>lwEekY<tolOkXRPymITLDXRdxjvhLA@MsAp_pQbdyjpvvYJqlML<r`<Kmmy;UUVanAdWxdksuJ`au?HyO\\vXYtZyTSLOQllOMYjpx^<Ql`po<r@pydmve`mrhN^eleEkwDSmAvlTWVQV=\\TyymrhYSUxHXv\\yLJPJVPM]hSi<lPAvkUk[eOx=OoxrkYY:Ly_`jYptRPlgDT[an]aTQ<oEauYDKtTNYLthaMKalHPsQHPiPk@DK_MooXvBdsUuLTtq;\\MPTtcmo\\MSalvkqx\\EqK<ulEsnDyGHU]Em`ljKiTUht`Aml`LgHx;uNHUR_hNFXMjiVdtp]lje]RVlOaqlRQpwPooDQkEXyMvutl[TJxiVDutlLlieo;XqEPJN\\y:dOVuwR^iRXghP\\Cwa;fyXatvP]QFq<IdNGZo?axgt@O[J_iLffC`nwH[o>Sqh_Ot]eFJMFHiwtUfH?WDkbX_FWGI`oxbyrLYfnAWKADHgDiOW;eugIc\\KU`MelMExavL_UXkcfuEF=ho<RalwEdtPpy:Tymqsotv<=S<MloUjciLhywTYU[eSQuqYLwPlLu@X>TWlqUXhKO@wm\\MhyrFqvWqqhQQVexv=QiTjv\\MsYN^DVx`oFyr=Xq``uj`lMYw>eLciNieSXLXLaUKhsEMsVXOxEpiXUYPl]IrcimRtpBESrUl?al^xMWlsi\\Rc\\UhqURUxsyqkmxuPPFlTMhXeYrOdp>]kchWLXWKhmrXSUaNYHNuDstalx`RoDk`IXaAR?TsImNLeSlexBTRY`rxYjcMkXunO=ViLWi@mCEY\\Mk=]j_YYLtYTqJQ\\kVdLsLvqHnuUMw=wD]k\\UplyK:@K[pLeEkKaJ]xjUXNjaVepx_ewi=RoTRcht:LqOxqWYjc=jcqPXQL]`oDLkOekTQV?HTq`oMtodDjL\\kldmeqS>@WFDpGYTTTMLqUQxLoYV?aO[yMZdLyMwIMk^USHUtGeXfDtLMSNtYTeJhN]O^a<Ntdpbx>o`xttnjrHctYnoq_Ma_\\Qlv?pIndG?oy@nlhlsPdOPkb_`EAa?Gi\\wah@asPnwN`rocIPw:^mYQqyNe=fk?yr:Nl@XdgHiJQm@?]^xuT?lgf^@yel_`hP`gFcEoxKqjSx_TAllhlLa]UI]b>xGwkdaeLO^v`v<ijQ>ysqkdHq[NdIWj]?oyAZa`sEPZyPwS^^sApXW_bi`efsK@nQPbJGdF>kJa^bFcO>^:fb:O\\:Gbfn\\S>kM@iNQhv>bdntbOocFqsna_^p^Ybn_s\\H[CGjHNar@pC`hXov>xhZNp?QjoH\\N@g?NhMXmTgdANtdaZvNsAPjrglD_v_f_gNahX^D_n@O_e>^ph]EIhAQ`bxrshalOy\\Nwa>rbNjQvcZ^lTWfrVjGg\\C>r]>mDyc`fbt?Zs>`OijbocX^f^Npb@\\nQx>VnOHcKoo<^pKq^d__BHqgnZ]`bx^iDXmiw\\KpvuhmX?kIpZg_uOGy_`_]^]QVdofso`nW@hVGehpgkVklCAuek=YqouOew@Qf^_E`_XpqUFYe?QHuqX]sGYEVMITFEcXmVAsfSUUWQicmTL]GQeGeETNYEkmTLeTX[vrQG?qt@UeBuYiMVV;slKbGQUgMulABMgcpwDPqREmh\\;YnGwSEdGgUmGU_UBN]gUQRocIEUFd]yUOyQKSJGX_Eh:cXcGRtGT^SUUEDroVbucgeHXQvp_FrMU\\gi@UicoXOMTB]WN_hdyXFoBougLcWBEsxuD<gW?mxe]eEOtTorI_RSMCEOElitAIDwOcP[CPMivCULADIedKaen_IKOI]gvD;c>]R][e_uu:QTPMt>uiiKW`?T=ihOue:MbKeejYFlOVMIdEsc[gerMitoBFMURoy\\oDO?IteGSAs^WUhgrgiEIKtVyvAogDOTg_uLQvCmgEcsY=TgaILesK]yxCvwivQkCbexAIhuisbavvOrJqV:uEAkVTIvGCiGKfyDpWhP<=sBDtYXSfiMxdsGLUvIO`uRdaU;lU;YUQxJqunGitFqkV_fc?g@fo?imv?kQq_cFiKndrPpuOL;X]QE][dTYvriy@mgE=Eqsu_[v<kdVwURKTWqrQoINOu]?IZuDFGIyMVLSScgiC]Wsiy=IdC;RrMBS_xY;ENcFFOGvOrJMWDEXRgtoGcZWvokBgyfDAFgEiucDYAxgmrXydnCFc_w^ST[iRg_u=CrMUEiav\\qI=;wogWL?GGitpEcQed?_d@gvNUdIKeOIG=aDWGIPcvrAVWwDCMi`GxEMYNQEKWYHGep=EqsFVgFQQXDmCWyeRabhaGkCbVoVkoCbitTWycUv<uSXIx;OH[oeaURNyI:cW;iECuWleCrEtTSfNyEMGTeKXrYTfMsg_VLkY:yTWyCWatA_dLYgMWVRotxAw]oS<_eFEGGSGX[H=qreev]uYiew?msy;rJufemfRwHUixW?yc]uoutAGf:oHxIe@qGw]uL;XtWFPLPFaSkPS[aThTmh]yoyoTaVv\\n\\YQlHtDUVX]PwDlj`v\\hVdAVmporiy>tPqQok]JXyqduYVHLDLy[DwGISy`XbLyYhkWYUodJODsAQxxynYXMMd]h?u[ollPwUgjbhod^`aHdo@_ZWvqI]GwcQ^\\tInXhnuYdC`s^^emOk]hvJgt@fyKWnWfrvXfO^vCFsuYnY?nCVoAgwX?f_x\\LHcPPde_^T@xAF]vNfLHw>O[PoveHc?y^Fi`rNfLHx=wnk?fLYyMFcxqtv@`<fpon_Cva<fhD_pNpinH]PIeDwkO@cfXn=PljQZYFh]g\\A`bDWhPHgaps>hnQ?eIAwe>dPpG;h;wit?HPWWWebjsUCIF\\]tJkVEUboesMCx:ssCEsr[TN?gkMDkyFMuFAKUlaHDEE>QSu=xxqDv;gTEFDOyl_tUCcbsi:_glUeE?glOSLYcL_EJ=WOktjSh@_vkwTAKbXEs`eesArCEsZ]TbOsigwL;XD=XkwGcKyTkBcEtDaxEshtODO?X]ky^Qw`MDwIc[ec^;RnMXC?YKMUkYC;YLrtOpPSQxQlPk?tKpdscDRwAUHyoAiR<`t^Akn`lYpyBLMZDsriKQLRbXSKPnd]V>TTOeJB]N@<J<\\P:<j<PjKyTZPsnLN[pR:dpcDKOaUY]rmdJmEm^LPd<JDdj:LK?<M<@[ZGuonZ>NaKfb<?h>Fl>?_JXtT^jK?nBHf:QmtPZw?ZW_cPPy@VZbnn<>fJIdvNg@OaVAijo^GHZLfkkf\\QI`aGhegwkYcMG[VIcPwnXFcfIw>P^LghaPZExx]hgPGe\\v_hYf`g\\s_mEwtaIidIijobkorUIm_xliYsjGx<Y_^nfVPvjxcKnfUY_gatgQ]sfh>Wm\\_nSYfqhb?Wmgvpphf?G\\pXth^wxWv_gqnHqTVv_gn<Ho@WcPGedp\\a^rMQgOY`BWtNnlGn\\ShpDF_@wkPfe?v\\hadfFtQfl=Oc`Y\\L?q?YhGF`aqxSnbS``HOkO@_cXd`FmhVuwanufgjG^h>ZIwx]^sCHcaxY;RMSG`OYUGi:GHYKC\\ex?sfKehlyFO_ry;bT=RTMbEOSZkrKCV\\WFaMW`cr][tB_Wx?WQGgnQHmEC@ixI]WIoWcGt\\EUBqhTeVMkY<ccvGG<eWkYwUOYEWcE;E`ed\\ICQmgfOXmIex]Rd]yLKhFwDsAvQcCiGFomGBSWXuejqylMgYKsDwrQ]UiusJSTXyGBgB^Oi@AUmmY=GGIwYj=wV;dbKy]CYAwWMUrpsuokfWCg<_iKMFVyeVMuVYW`uRhpj@<Q;xqVMw@EOkuU\\AOQMPoESk=v@mOcEy@hnrMnoYSSPQ^QJPyqI\\Uw`mY@mTuUIAnOEt:pqHDNBUX]MwVK:dukxVpekK`yxTRPaqxHvcaV:euELx=EtEauQEkNtjJ]nt<jpQM?iP]MTnQwHIkmEOEPsCuQ\\`X<EUtPj@D[RoooG^SQl?QfG_\\jwoLajbhbyXcZPe@wjiNhtqjC`oTNo_nrifkSN]nGh[>cpgnTHocvccn^H_llIgl^eMOrI?\\K_hHIaO?njWl@i`ji[H>adabnxmN>mD^mPq[gh[C_o]odCHg_y^oY^=?ec@Z_F___dHyfCyuqg^vihFXfhae_Ysbiho>_?qsIOuU`a?IwD?dhoqshqoVwvnyAq_CGwFxhpWvI`tUSLsE[sXUoEUIXqyslwY;YYfYbMoh<MtYeiECEygrUIxBgds]spod]_hqcTeYXteYHUFQsXqwYIifcwVx_EtGusKYjOg\\ux^uu\\gvnEGtEtksVOSrgUgkiTGUEr?wtOdtUXWcDGuHxkGuUwDOVMMHgsgLASPuT[ewxyVpMBa?gWeYgKf\\sxo_GqkWiUBgywJWwbaUGoIauCoctEOtD_vYCiUWVrIhSGgacsYAucubqIhIKE]wuS=tpavkIcrAD[yviWRgss\\myXMxnctd?ylUGyWgswSeUteGHXAWngysCWSgbvuIlQGaGuBEXteVdSsNwtRqSOUHcSxhUEuYCPWyjIr^st]scyYTVQSakgLetUSBMGxFisFeSMWTNaR>]bWeiUMRRiSwebPmtcCi]GrpCyGgsuGt?qB_CEtAyBYgvyTCUB]cdNSgp?xDsIk=YFqCLQX@UVmWT>gVWYgHAb\\kDGoHISgiqtViSOQguUExUgw?yWISegGgEYBXWoaRs]O_YPtmvvhuXQUGqn<iLHyjP`uviPUux^`L_PStPYRXr^uXLQuN`nKxoqdohUk]mWcUy`qmdLLREWGqJCtQgqQAyQ\\yXipxTlmMlknMvMQXyDpG`qWToXiVhUw>\\kgYmUIvOIQDMNq@YnmxM\\MMMXsYnFyUYiu@DxKMqPMmd=wQyPsiuFiVdhLOHQv`kjama`qFxNhodn_ke_]`PvVwveVsRFoIXgQqbTQlhh`^QcEhnnnpt`mINlsi]GYqhH`Gg^<PtXq^B_y@PxhWkYWmm>]Ye[IYDYvnYSPEweOuLCXlwWxYbr_T\\oCrlkHYS_qw@]V[YYOEmZYMGApsYuX@qrQP@iLOpvFuvrmUXpoXxR^YVtpscDOQAM`iwVTNdmknYNdEyGipAipvhn;AVvmmAQNXESpePhHoxaJEAMWELWxN]HtNhwStWWHslDyOXqMdJN`nllNoppWEqW\\QoissYpA<XKQUaIxjARidxsxWiaPWPnwhP^isthVuEVqIwIpwPxxl=xIUtRHykdwvQqVTVS`nMhsNuseIvfindAqeLVUymFDPSdol`TvasFyRgMW\\XVoioQPS?Isb`NQQqFlQCyV_HYExmGpJw@wAQQDXTMQl@IUwLq^pwDxteHny=jKPO;uOmhssXOELTkXURqrCppGqTg=Od`r>uTbmwi`qSmjZLlnLLBaNDLXC@ND<J:<J:@J:<JdLK:<JJ`J:<L?EKDDJNPN=@TFLr\\`J_<TfmMb@kr\\UOuT<`ldLOnlTNPoDTTatkZPpk<TadphIKkMmbloPamapOrDJqXTNpmVTX?mStYvg`VODUuEwZmkPqy\\aLuDyAeuq<tLpSqlKlxxaaLWPLbapqAPM`t]mXsXyw`sits?uqBlOBUYPimoXKe`N]Ml>QsEUTqiVdDyfHLXTt?qsPaqEioguL[hrj@Os`vEhwgiVULqJPU]\\spDSOhoFqJLmSOAWQiKqTPvqxnASkHr\\TN^\\oJmQk@Wsdxa<WNQO>]QLUMHHR:XKALNwuotXL_`QSLm:ekETJ]tRNqPP\\Lv=TcLKlDuMLOVMw@mm;MkBxLH<QwiRgTP=EovTJUMkPYNBAPadl;UoOMk:aPxDjEtjy<potK<DwX`No<l[hRQMk=`kc\\TdYVXLjrxTDDJVtM\\@OEapEyJdesa`tp`lhdOkekLmVwhvA]xD\\X:qO`PMtHndDqZ`XlEjdEqAxnQ\\UiusJ]ntAjntkJUTX\\WgIP`qrO\\SNdukxFiBGgc]KGGku<Mc@oCbahEyUVcgFqsU[ffEfCwbi=Wb_Y=SCDeivqY>iTlmu>YFNQgs?hBuG>edVCdtifFeeI;UEiDBcqwqrNUrMIW^QJtEyj\\^Uvd>g\\bAjTwbbPdwnbd`v<XoLHZnwrUPxGF`ae@QG^edV?b?sv`OGvWbpUhF[EsMRcAhuebAiv`EcKQfH?wTib`;WRwrA_U;UycaF;gVMeH=cgicBRohYCI;KsnISZobB_yR=EAMuwORkGId?BcgV=;iLOfmSc_ghN;Dt]GLOrWOSIqF_YxLkcg;scksOUsTcyHYIMaXMGEd[UEgHmshQ]uYIGyWRPMIHQheoBk=xWiSGsThwcf_Y\\aWrgSnUV_msOsTvSuk]UC_ULAi?qhxKtnyr`igROBmUSluHPCsrIV]mu>MRdOhpOxGeDEmyTMflgsOUYwasGGhPaDqODwuiggXYkE_ehmodc]YXMFymhQYfTCHQUcO_G_aGUSXSSGsMIHChouCbqydowcqseYCvQhsqwXKroic@mI`WeKiSSqb<MdGKYo]uy;B=OIYCxXgD?mCCWfywfIQeaYyGMgl]i_YBZqhjSisIi@_YdcXxuCeAsRgD_cWosVaYflIXTuR<WseoR^_yaqCykvD[DOsTXaWngwRUsn_hqmel_sjCUWEwaibCSWqsuDwYKyR=UrXOgiKbhUhGqgDshjaTe]rAyI:yS;qcnSUSiC[YH]kVkIeQkRgyerIwS[uwUbo]BegvCisXmgeGyOwTW;Xw_g\\]EVAwbcDIuEpuWeOIQeTVyuhGs\\IxGoWwQXgIGCgdpahAcYisEo_fbIGyKWq]yhIYhUVmMEVAgLGVK_iOMsy;bTwBMwgkoyk]ysUcDWBgCgY?hRcEi?UGSIKGXggvNIwWysSUeQuHceXOqTbKywgWRWujCgNYHwksIMRAqediHCgeyQUVQbOcFS]Y__tFocvqipMYkWiVweBiiSisCIHCAepUuYmFhOTXgDeqwrSsl]u<]w]OVY]dQqXXuS_IHCeFXMw@UWnsvKeHUuuFGvNcynaxy;bAex\\YeJEIj;IYudigYvMHsOWmyFy?vG=CDuh\\WeauFIWxYEhmuTlgyvaXZuvfWv>mRTaU=WE]aW\\IhPMVWwsMEYriw`igUeVP;I]gbiWEwCI_gdeoVNWv?=y@WwW?ScstrAScIUsgWv_VekWcEHeUhMac@AE]SDXaW@Ctt`O\\\\yRtpQpM]UXSDwJYOGPNElYdiTVxtrasclW[TYsIMAAkdERnyL^uo@iy_INOAVEdqaUSPXV`lQsMqUhwUlywXqNEscyL;\\XiXQupJXAxnASeUoKqMWYUPHo@yjP@Q_ivDUsnurO`SAyMGElMttPDYxHuSpKSdxhAyS=oSYmdILCTwl]NOHuuPvftXfauEXvKpmOEWgmWQeKEQq^mRmHXNTVyhPhDtMaK_yLGdJeYxrUp@qtOeXoEq`HQTxlFmqKYYTpPYhnYYm>PLcURSxwiXM]@yfyQPdPnQlLYoJQvYexXuNNmXhES<QlMPSAlLltTipnrTpkTt`xndirVQK\\HSG<RR=VDaUFppJ<NLdr><J?<P:DL;aJJ<J:<Z?^mnpnJQ\\CY_DXl?IpUqnZO_LhghXbOVeoIcBapZFn:NuBwblwcUy]lvj[h[bpvbq^UPlGYt:il`W_v>bRxcLOoRfcDO`Lyj:V_wx\\=He`He;wfc^_\\>jL>oL`p_YmfglSvpSo[:Yo<ojAW]sofoIsrfrKw`Tgm@Qk_O[>Hhfiw]ffKOfXagtp`d^huVb@Qt:Of@HuTV^q@cLAnJPuJg\\@?tWQqI^nT@`KN_M>vp^^NOndNr^xtRHd;>]x^ZKg[>_\\BNeZVrRPuBOt:ikv>mcOlaVc]^\\;NwG^cJxrRH\\O?sT^b\\i\\=A^[fbJNnCXrK``OGZVOaMxnGHckgc=Xn\\QZrpp@ojpnm[`nc`bLQr=Ht?`^fNnOWxaVd`y`bP_:ieFW_KY\\XGjA@^\\VoL`[sV\\A@^:A[=AlLgaCOnD>^P>knno]Gdmg[e>MowO[sncXUusJKTDobXGv_YhuWD^_Xj?d^GQB]pjPT:eq;MWG\\on<PIttiDpRPXuUL@]LwARFDywYJbmPwXrO]t?LyAnuZhx:vq:WrJpuZLVEQ@`m@dxA<o?XRJxT?pJoeXItTJQnELjDTx>MTWIs?mV?mRS]o<hLCej^HK]<Vh`qCXnZIk]Lv@MMkAJ]\\YbLXxtshEvhPxEuXyYTi`Rm]vH]u`aPIaLCEPkUSMTTieopqVVhvLXVW\\QtiXZ]sOXsEUYhPleaoSYqrYWPdQPeyj]Ys]mUmtpLtoEQADknQOwmKOuUNyuUhOYEsnqLHUurYWwLyRpvYDYShvthKCAWkDUxPPyEmRhtW\\MkQu^DytImdhsgpr]ItqxP\\`MbIsEDWGlrKyKS\\xexL]qWVYTs`T_Mq\\qkApsX]kLepTEsLYObaXxyp\\IVmdtdUpsmppxY:Pv[\\qcUSDLXw\\mmUpXuOq\\owurIPVxpmHQWQQX_QwSytk@XUTwlpoDTphUtdqpphTr\\QKdysMPepOaevW\\RuLXEEsXYs]iofYW]PkU@om\\snxNLLjkPvFYqWhjWPsxQViTTXaqC<XZExy@ypIUjivpmqThsR<q_`jHlMvQrNHV`uJyxVkqTpLxlmpYQqTURqeKQPoKQoV@o<hLF]KUyqHxPldSU=UxLVhmYexWsdXcyt[pQNPmVPJrxY:\\YqywCQMpuYMTWauNe\\yHeks@Lc=lsXmI`JUmw^pVPao]xY:lkgmLriMWhTbYRduj`xU;iwgESHIm[xnjmTh`UhuqkYT_TjvLRPTo<INIhXkmXqQTQaoGmY[<RmdwpALUuR>=P]HxktpuqUkdpaEMs<y;Xsy=j<=UsylgmythUCLwSUmc=Sv<RQQMdTpwhq?<QEQuFuTDej<tKL<w><L:`J?<j>DJZ<J?]JL<R:<J:@Ld=s:POELn<IoZUrD]s:PlcPSlDtSQNJ=NS]uK=RjQJWXXPPSXHnUYLqmPV=J^hW@Eq[Dk<Ln<<J:<J:\\jJLTR<JO]LN<m:LK?DKDBJkHZOBL;B>CR[;B]?B[[HD]B?Or>;Db]BJAg<;R>KV=[DdORMMD:ib:ke[CBZcwBKDo=DK?RtUBEOU;Or?Qd<UBJAW;iB>Qw@[BkErdORf]G:gRbcI@;BQmc;sb[;HF=BVORB[g<;c?KFDGfbOBBb]gsvCiEuwm]IUMxPetLsThqVuATVWEqeXtGgnciLQSbMgk=G`qfT?g<eUHyt<owhogoYiLcWc[CQOdwqrhixW_Ugmco]RoEv?YRbgemwWLoGGaiWMEoMCoEIyGhuGyqCDUOd^ou`?Hh?sy;b\\uXIeX[MchUxGmr>SeoEIhuWecgtcbtes=ysfmyHYWWoXhOspUUk;eiCF]GeUqw>]S?GyuaDd]tvksYMcviDUyXumT__rLgt<icrKUxuVouHe=uD_ScQEQ]ReavcofUUFYufLwSRIDmIXfiGh?xWWWDGXNUTEcsbGuEUVqwXimWaqw^SgREW[ir;;YMuGYivWYtGGu]kVNaYHyXFkWhgWgmbpev@efAubH_vustPWbyYguMUoOG\\Ue`MVvYSPYv;?Ta?TaWtQIxUCgwaHqWUCutE_f>EXqWYyqcgEy@[TeAS[qt@IErqvb?ytaHdaTdMxpsU]qxWyI:QvhQtN=XLuEiOxEWug_cquSgQg`eDVSwOOcvWSlsYm[hu]xVOrBaVvquxigeOXkoyGcRyQTbcxh]ePCfceHWGGySFmSTMSCMSTP[i<AS[cGqYyGWiNigV[sncVDwyAcHtYuWyhjaW@UtC]UrWT?AIwSsr]SGuxBKC`wWmkg;QrBcVesY]KxWeUkgcdUWtSCxYh^qehqHhcGqWFW?yCurEOgugXaobEKrD[xrseO_iy?Iy=iVeE]adb?ws;yIUhUYYUcuH_TceuOCbGUXuUTnqTaOeVEtVqhjIihQClAhvicukhpGHuCCouYGkuR[TgyWuSubkGisHcwY_eElqfSYGqqgbMieqsH]dYcXQkRCUIjCIpqUysX?EIHqx\\gykUdMUW_eC<iYTWgaOWS]TFQt>Su\\CYUWTYcWcMghItnEdEQWbgG_sCswcOcyUOwiSYHpuOhWgDQjUQYXNyTUeHwueNiPWyUpMak>]RAmX]AoRHMjYWa\\NGIq]XlUEYSXrulOd`TitWCyW@ayITxMhJ?YsKxcHOaYgdFhphpk@X_BpfQOqNHn`OhEXnKggmvkkyxqWqNqvh`n\\Ptcgr]ox^Vfk_fGicu^p`Ak_HaVvsThuVWu<o[Nappxu`fcyHliOfqi[tQtLyy:fuxI`hFubxmM^hVwr=xnRXdSPsrieWiuLympOeVHgFw\\si]uNpMI[tNtCPpF_dLarVIeb`\\FGvvyaCiuyhhUUEeTOWv<;v_wcMSywOGoEuLoDoMSKeYG_gUmvqerU=dPOrqAcIgyw?EkWiOUFEsCXsrmOVxQroYuHiSqqDP;e_KCmAuFqb__UdIgTeGmMsMAr]_yWiuXoTqid>QV_AS;er[cXn]ytaeVOSwqh`=GDexKOTM_Su_XuisTcDtaD^wrYEEhwxuECD?dtQf\\WWFyDnuhvqx\\qwT[C_ESLehCKYfAh>WxFquXqfbigHcdc=dLCyVgua;ssaW_mihWX<Iwr;xd=ygivW_d`qgD]hD;U^gcmaGrWU]ASkaxhoeGAedmdV?IyArUmCqGVdIxJsyT;xj_ypQg_ccKQHcwVdss>=h?SuWirGqdSaXQeHPexvGyDQtEotUEwJAs[_eyWYqeygHOq\\snmo`huNyogqptentdsEauL<sgIw`YqyTNwEqMHmIyPvpxpQooyRdtsZhpvYQkutolrCPV]LRgioJASKDVOiLiLQ\\UxftWhXQEXTnyPp]n?aOGQQZ<sK<N:<S:<JKLT:<J:<Z<@b:FenVpRnjMPZoPa]Aboqq?@j<nbNfhrGpCAZZF[ZB:;:Z<L:<J?AJJLj:<lB<J^PJZDk:<KDTl:=NK@R[Dn<AK>QJ:<ZJ@^b^Z;`ZL>Z?OZ>@jK>b[``DFZN:<NL<J:MLBMk><JJ`J::`mGpYAywvTMdMWQlTIxMOEMxPooQwVYuCYw<`kbXxlAwHisgijEtwO=Salo_mppqXfeopPn\\LQWxPceuVqXemwIxY:xsVijxPVUHSwt_?>yPhnx`mPH_eYgFiwEWvpPtPxpgwdy>xlp^UV]PnvhQbnVlhH_xh^VPvigs]F[MIsCymyWhtHqp_r]>a?qhwpgEHoYOrDYew_rpyxjvgA@eyAZ:ywRWuUWuaX]dGktpvSYeRAeqWahpatxtOoex_fYi\\rnxWWlkgaQicbhrEQlfOxqphGiggng]owLolaPvjiaV?vhhb@Iev>]JXuUgjxPsIXnkAiM`]ppoRowsgiWIoIwgW^swyxaF_yNxwi[Y``oiwfIckgduY^oXh_offY^hGhfXfgid\\ws[Of^YfCnbkxjohd[yxonqnNxa_feqvIIxPaogGnWN\\oaeKGrDAqnIaYP\\Ny`Q`]TXcOymCPumHxUYilVdqP[CGheH\\vqcOQv[yxy_tUXnXOqhHuMqnFxew>_HarVOexoqXnZc_i_gllxwtipbithQrxxZ__ywGk;Oej_x?gtdNpIQvUiwpG_bQsOPfm>oBxkL>hsHmYxZ=Vg\\wdxPa^IfF`loYd<uuEVqqdWeRdcScoBrmYAUciohqmHHoHOYDAOhesiWwxveHHOSxweZaU\\kgauFLGhRGGAuenwiWwiDWhDoSWMTSAVdWdsirC_y>gdamvrEwy;RuuSCuViqw<UDhKgeEvY=xfsxuMUwghhOwlmBksUDIS<yV]mwI=bVQRQgWdieH]yTwy;WUUKsgySU]se?se;IpWyWcgneUeeTN=GcehASdkat>gcq]SFcrvqsqYvgiwQKhpuhLmvKgtIGdCiYimwpoDqYTAocbyxoGrWyUvqePOYuYWhYGKMecQfMcDrYeuceuIxpQYpgfmgYmQhLWIgeVFQGlEIYEtgiUWaeVeVBmtNOimAGxuwdouhOuiaDQ;EbcWkCs_CrScEKWdqUYUmF`wwmmCvUxJeUVMHcMGEyI:sXPyI:cY=sT]iw;eTPOse=wnyu>eWXAhuyI:MwW[IugyxocOEFjgHxuXhuv^iwTefviVuYXSKbkMtgAW;]H?wtpOxuGxp]ukAtduTFqs<AiGOhEOcpAwmyCo]hSCHEIXKeGLWG;yX>oBXoHumVasUDIfrii_WIPCFQ_F_gd_qFsWty;RXKRUIyD_dNwEmmcfUfugxk]EHqhMetbWV`Ocokfc[GjshyycU?YbGW^WTdGcosSlqsU_UkgxouVqSyw[sp=HQCvRQrYmGIuEQGxqmgugcwiu<urDCdheSyYTMgEmYSK?hT]WX=GEUYEkt\\SvBKtlec`qi`qyagbYyXjuTeeY`qxOeEcMW]wtKISrUgLWirGYsOSJOyceXaITvqeOeiWehYGGhEXJKSkCs_:FMuXpGTvyeRIyxEexsrEEvpmX_YEQgV`?tLYddIvbmWUst\\CVvQVjkvy;RvqrMwyquxy;RNWVN]RF?YSSFmCHxasucrWqtd[bmWrFiVnAw_aWfauisYHqE?eyLyI:YUwusA]YEQU]OhX?GgEXo;y\\qCFadu]xTEWGcEEIUNMDHstpAFveT[qigoiYSvtsE[cWUWgIosQsxXqt@gsSsxgoRL]yd?YPoEmYskETkkdiCBa?gVsXfSfkcsvqs`_SpgyGgrvaxAmy_eiJWIUusfqXmqi`ixEuROyI:asnQXUWeOeXdGDfmdCESyeVaAhMSyTETKQVGsbaSsmyrZIBmmgqgewgXoEuCUgeKfsWuhqYUSxGicR?wpYdn[yjIbwucBohPiT?ohX_XcOevASVcWgmwcgeHMg_SC`IY>IWSsfCeeuIIYaYoiw\\sDSyVpqfIisy;Roigy_XlSIUsH[UeleC]uedSgguH`ohZiW;KDe_rFmcKuxdkbmUymYSvquTiduYhhMyckrrSdTeuW_i]?iwwX<MWKOXMuY=yBxUve=ywyMUimG@mrLskXnAtpQHjslS`tWPUvC@kahmmxPshk=EuxESHQQvXnI<wdAyOXuXiuqXrOqxKlUpAv`qOKUwDQMt`LAEV`ULqUVThSQQMxLnmAQqIL?XSOtNyYxsDqp]S]AQ?qXwpSXPNvap_yPyhqv<xiujRiMuTMeUynUVgETq`UUUOuUkHtVqyshhPOytYDmqdRFmxWULkiqVioYyY:<wAmr@xwQxY:hxYMKntS]mVqYqlxKiPqO=xfdQ\\yl]qn\\QoFYm]hVliumTxsAQqdODUYUPXHLqUIoLEUhiwVePVLTcaNMapTUPEHPKejBMxcxlAiw`QwZYOMEJs`RoUnSpk>hUhul_=WoiwbYrcPkwYmj\\joeR_\\mdHmMmy_Lo_pND@QdllVupUTkFEp>aKctvSPlRIqVuPSTx?MnUePUPSJ\\t=ImP<J:DL:ML:ML:<Z::::::;FC;BZ::::ZDHZZZ>::::::::::::::::::N\\:>Z:>::::::::::::::::::::::::::::::::::::::::::::::::::::::xqyaG::1:\"\{\}-%%ROOTG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"&S-"F*-%.BOUNDS_HEIGHTG6#$"%5KF*-%)CHILDRENG6"

Cap\303\255tulo 15

Taxas Relacionadas

Quando v\303\241rias quantidades est\303\243o relacionadas por uma equa\303\247\303\243o, a diferencia\303\247\303\243o da equa\303\247\303\243o fornece uma rela\303\247\303\243o envolvendo as quantidades e suas taxas de varia\303\247\303\243o. Em um problema t\303\255pico de taxas relacionadas, a rela\303\247\303\243o original e alguma combina\303\247\303\243o de quantidades e suas taxas de varia\303\247\303\243o s\303\243o dadas. O objetivo \303\251 determinar alguma quantidade desconhecidas ou taxas de varia\303\247\303\243o. As chaves para o sucesso nestes problemas est\303\243o em reunir as informa\303\247\303\265es, identificando a vari\303\241vel na qual as derivadas ser\303\243o calculadas, depois diferenciando corretamente a rela\303\247\303\243o original e resolver para as quantidades desconhecidas.

<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">\303\215ndice de Termos</Text-field>

Os seguintes termos, neste cap\303\255tulo, t\303\252m conex\303\243o com o Dicion\303\241rio do Maple; para mais informa\303\247\303\265es v\303\241 em Dicion\303\241rio Matem\303\241tico.

\303\241rea

ass\303\255ntota

regra da cadeia

constante

sistema de coordenada

decrescente

derivada

diferenciada

diferencia\303\247\303\243o

par

expl\303\255cita

ponto flutuante

fun\303\247\303\243o

gr\303\241fico

crescente

vari\303\241vel independente

instant\303\242neo

teorema do valor m\303\251dio

positivo

propor\303\247\303\243o

raio

taxa de varia\303\247\303\243o

real

solu\303\247\303\243o

resolver

esfera

substitui\303\247\303\243o

valor

vari\303\241vel

volume

<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Inicializa\303\247\303\243o</Text-field>

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUShyZXN0YXJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjhRJ25vcm1hbEYnRitGOkY9

<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Exemplo 15.1</Text-field>

<Text-field style="Heading 2" layout="Heading 2">Enunciado do Problema</Text-field>

O volume de um bal\303\243o est\303\241 aumentando a uma raz\303\243o de 400 polegadas c\303\272bicas por minuto. Encontre a taxa de aumento do raio no momento quando o raio \303\251 8 polegadas.

<Text-field style="Heading 2" layout="Heading 2">Solu\303\247\303\243o 1</Text-field>

Denotamos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiVkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= como o volume e o raio do bal\303\243o esf\303\251rico , respectivamente, e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= o tempo (vari\303\241vel independente neste problema). O problema nos diz que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjZFZGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEjZHRGJ0Y3RjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj0= = 400 polegadas c\303\272bicas/min e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiOEYnRj5GPkYrRj4= polegadas. O objetivo \303\251 determinar LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjZHJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEjZHRGJ0Y3RjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj0= no momento quando LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiOEYnRj5GPkYrRj4= polegadas e 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 polegadas/min.

A rela\303\247\303\243o entre LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiVkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= est\303\241 relacionada (condicionada) no problema. Contudo, como o bal\303\243o \303\251 uma esfera, n\303\263s sabemos que a rela\303\247\303\243o entre o raio e o volume \303\251 dado por:

Ly1JIlZHNiI2I0kidEdGJSwkKigjIiIlIiIkIiIiSSNQaUclKnByb3RlY3RlZEdGLSktSSJyR0YlRiZGLEYtRi0=

A deriva\303\247\303\243o desta rela\303\247\303\243o com respeito a t fornece (pela Regra da Cadeia):

Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJWRzYiNiNJInRHRilGKywkKioiIiUiIiJJI1BpR0YlRi8pLUkickdGKUYqIiIjRi8tRiQ2JEYyRitGL0Yv

Resolver para a varia\303\247\303\243o 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 desconhecida, obtendo:

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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNxM0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==

Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJyRzYiNiNJInRHRilGKywkKiojIiIiIiIlRi8tRiQ2JC1JIlZHRilGKkYrRi9JI1BpR0YlISIiKUYnIiIjRjZGLw==

Para obter 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, o valor de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjZHJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEjZHRGJ0Y3RjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj0= no momento quando LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiOEYnRj5GPkYrRj4=, substitu\303\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, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiOEYnRj5GPkYrRj4=, e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEiZEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GO1Enbm9ybWFsRictRiM2JC1GLDYlUSNkdEYnRjdGOkY9LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZJLyUpYmV2ZWxsZWRHUSZmYWxzZUYnRitGPQ== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KEYrLUYjNictRiw2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMCZBcHBseUZ1bmN0aW9uO0YnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZTLUYjNiYtRj02LVEiKEYnRkAvRkNGOEZFL0ZIRjhGSUZLRk1GTy9GUlEsMC4xNjY2NjY3ZW1GJy9GVUZobi1GIzYkLUYsNiVRInRGJ0Y2RjlGQC1GPTYtUSIpRidGQEZlbkZFRmZuRklGS0ZNRk9GZ24vRlVRLDAuMTExMTExMWVtRidGQEYrRkAtRj02LVEiPUYnRkBGQkZFRkdGSUZLRk1GTy9GUlEsMC4yNzc3Nzc4ZW1GJy9GVUZoby1GIzYnLUYsNiVRI3InRidGNkY5RjwtRiM2JkZYLUYjNiQtSSNtbkdGJDYkUSI4RidGQEZARl9vRkBGK0ZARitGQEYrRkA= isto \303\251, usamos os dados seguintes:

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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNkMUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==

NyUvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JIlZHNiI2I0kidEdGKkYsIiQrJS8tSSJyR0YqRisiIikvLUYlNiRGL0YsLUkjcidHRio2I0Yx

O resultado final \303\251 ent\303\243o:

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

Ly1JI3InRzYiNiMiIiksJComIyIjRCIjOyIiIkkjUGlHJSpwcm90ZWN0ZWRHISIiRi0=

L0k3fn5+fn5+fn5+fn5+fn5+fn5+fn5+fkc2IiQiK3E+ZnRcISM1

Quando o volume est\303\241 crescendo a 400 polegadas c\303\272bicas por minuto e o raio \303\251 8 polegadas, o raio est\303\241 crescendo a uma raz\303\243o de 0.497 polegadas por minuto.

<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Solu\303\247\303\243o 2 - Maplet <Hyperlink linktarget="Wks:../Dicion\303\241rio/R/rateofchange.mw" hyperlink="true" encoding="UTF-8">RelatedRates</Hyperlink></Text-field>

A solu\303\247\303\243o deste problema pode tamb\303\251m ser obtida usando o maplet RelatedRates, como mostrado na Figura 15.1.

yIpyIr<K_Tn^T^;FZ;BR<`:Rr?BqEDXMeSFcCO?gd:>F;B:=J:>F<j:J:JZDnAJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BV=ofZEj:JJC:ufZE:>ON^BX:=:;:IC\\AJ;B:;:<s=J::?R^Ej:JRC:=b^E:>QNZLh:JZC:Ab^E:>s:J<Ds<:[P:<j<Ds<:k@Gb^E:>V<j=Ds;F:>:>[LX:J:j>Ds;:;:Ob^E:>W>ZZx:>:j:<t;F:>:NZZX:J:j;<t;:;:WbbE:>X<jADt<:kA[bbA:;J:jDDt<:;R:;jEDt;Z:>:rbAj:J:j:Ht;:;:J>@:OB:_R:Aj:B:=B:N];f:J><:qR:E:><<JN@j;:?B:na;f:?:k:yS:EJ=JN<:]b:Ej;>:k<ab:A:>:^\\<f:G:[]:FgA`:=:KR:B:vyUuJPj;LJ<Lj;PJ<LJ<Pj<PJ=XJ@\\j=Xj=XjAhj?`J@@kADKC@kA@kBHKElkEHKDdkD@kB\\kJ\\KGpkHxkIxkCXKKLLKtKLlKIxKIxygS:ER;Er;Gr;WB<Kb=wB?]B?wbAwbA:::::::jy=fK>[;^u<>e=FZ\\b:]R:AR>=ryCpIR:ER:=R:=Z:>:;:@J;HJ<PJ=XJ>`J?hjyMfo@<?R:Ar:?B;AR;EB;CB:@jx@J;HJ:LjBPJC@lR@N=Hkb@p=DlrLKS@rBAT>HL[@uZQKc@WrMlSDPsDr>dJEXKF`KGPLMXLN`LOLmTTmU\\mVdm[Ln\\Tn]\\n^dncLodToe\\ofdokLplTpm\\pndpsLqtTqu\\qvdq;Mr<Ur=]r>eRCISDQSEYSFaSGEtKMtLUtM]tNeTSIUTQUUYUVaUWEv[Mv\\Uv]]v^eVcIWdQWeYWfaWgAXkIXlQXmYXnaXoAYsIYtQYuYYvaYwyY\\w];r:=j:@:B:>:@J;^::Rg]B:?R:?B;Cr:Cr;EB;Cj:DjuFZ<VZK^Z?F^knZLFbKwZ[GhMN^lFjB^\\<Gl[Hp;I[]V`L?xONflGtDn\\^^`[i^ky\\RF=GsCK[on`q::::::Dr;Mr<;::::::Je[\\Yv^=NxmaX:oP@Hj:NZKVZK>ZyRwQXqAdMgXbIVOgHWCfoWce[BMMvWIcuUuBYUhobE;dmosggtI;FecWi[yVyXl;ea_BvmihSVS?ip_uIsrrwCjGYcagn;IoSCY]sRseGoxQMxUSrfsRUYF>iV@Cc]uT^Au;WWtirZ_hgswK]U?cXvkELoDPuVHWWO_BHAYxAUNaYAAGxkTWUBowRXWGEAIIAXsOCA]xUmVgiYAkCEeBQsDcAWSCuR?dygrayu^;YiORMWvR_u\\sFFOIHWub?caarjyFwACtywwSyypRrtQKdUW=yqIv`xoc@wTDN`tmMhYNhU?aWFDuTLwr\\V[pplXLEmKA\\OltJZ`tj@YXeodpTheY<yiTq\\lNwiHf\\xsufn^xl<?_qhc`Im<^^u?]tNxdHc:>f^wfOinTgmBGohvnw>gtVhj_wpWyvv`yAZ<oaExYwumkYnawjmuksIBoiEyutmvydkkAtrmtc\\YOYlU]u@MuVlyNtkRupMDlM`Qihx^QOPHq;yrEupALmgypIxQnhPI\\kUIWtTTEdsLQyxQswmw_Eu_`nPHpiElp=lmHJmav;HL:IJelubUpmXpSIvyLyK:n_Iq[aw]jYjbIuHyaOymkqo=?crYm[YiwY]PgtOinHxuG?pW_bgahO`nqxfbvnEvxVnp@nrsqj_y^gXejqsehodGdrawXQbgffKqgXW]bwpfnjJ^_PAdEn[VvjsvstGa\\pjHXlEAx`Y`yE<ws\\YfxGyYGx^Ie[myydrIPnywqa_yewsxW]roouAdjPpwhqOqiWQgXp]GwbROmla\\nXygVsZQn[NxJA]YyvsVrHN`R^xgXZ]Iuipgn>anfkLnbPxw>Yb=wqHpvJgkgw_N`fsQh]phQ_mJxZWN`?o_rGjSagjyuY?y;_xXwicImye@ytEAX`IHy;kQpywymkmoxxS\\yXAto]\\t_ap@pWcewg`nt\\kUMqDYX?aM\\tl\\MKmmlRpj=YxmpVciUNTp=uyBxtpivIeLeQJ:uVmiNDAMOIxVDm;LuNmxh]JxaTiElFHu[yA:jy<wAETwyiexa]UgYw]cuxkVU_XE?CyyxLUwk=WgmF^=sPmvB_cKQDfmbKlQf]K^mm:qvhhQkqjK]qMhyc<N;apqtXtqU]TyfMLOxumhYG<uDywXTQ^Ejpykw\\TZITG=LuhOXX=Vkyma[y;Zmoee^toXkYfjTy]Bh_aG\\XoeGanfPpsGbNXkA@kBCB=F^IIqIE]eDDwgCMu^MuaoXT?gtQcUoXWWxckRTAWliggcVkqSW;YbsRDEykAC?mgbIRSawjkvmsIBoiEystm>udasry@tIPnysShPHIs]eMg\\Q=qpRLywAunlJgMQcxoE<N:ywJ\\QYHnsIPKmskak`IQWyqAYTSmuy=J?AsLeRdePwqxRuSLpnOQKCUSfeXylp<MxBXy>AV]amVDTTdQQxVAZyuqagycCU[ysuI<oyEuAkdPgyhiuRCGtoG]oYIeI_oc]UwSGEeGc[GtpqS=CvxsRr;Vxcf]eyAEVGuwOyDvYC\\esdQF<cyxUfIAYNgW[AE`SThiw=AVwCRYWbFkCHIwm]RAGrqUry<wAEDjWmmVxi<;rosVTwhEgHWyI:KRtix_aYMOWLqErgXvAbl]WkqBj]I[ai:;V?ORrMXOASakWlUXJWGXQIkgBnkul]Dg[g;qxjoY?EVqoWlsCKOtoMDhQDBQr^;VpKBc@n=`MFlor]LtqXYmkyGN:MeGkuUYFx=GwwdXwEuyq@odxV`Liwvhd]?vuIu`giFWsigfvNpVObRgeEw]R@oKo`Ppe:PqG@nOh]di^rij_xy:NriFgihcahseg\\xInhvm`wlQ>l>q^Pp`JHac?]fibXFesngsNZY``RGmOagjyuwA[ty?bKYX=IyA[ay<DquxsBLU^pppxtPlxQtxpTLbuvVMLOQOXhtdhs^=sDIPCeXfeVAITV`XdPmqmKoUkR\\QeaOTXUAiv[IUfMtuTkcIT_AYheLUpyQYvWLwk]T@hq;YNT<OAIymXrY\\x]@wyxxfyY:dk`tsGxY:@tKPnmuyFysrutqtorQuDUrSaTnTUUURmUYiuVsEx`USxHVrTw^uUfhv:Mrl\\KLPpAqKAQJlHnrajplLtqpaxOS]uSery=j[ILf`l?XVKhMT@S]Mky\\KkDWQHm]yvaIn]lMZtXu]qqtY<qqEtyxysrItmTrrySvA^YWypyiAauPW[rOrGntpHpcwdLOgMXgM>wi`fqH\\=h[VI`SP[n^jgQ_N_fj>]^IhFotvxdA^yd>mvYh[prMYrp?pExctvatPtFQ^?>rbi\\C@spYnT@^nWevo`rvYCvAEtyxEKUp=ymoY>cyQvi@QoeoniG[bwswfyVQunhok>c\\>l^P`DAu_Vn:GkmA\\;>aTqcAVvVWhvWbopa\\FpvpkCwe;oqjautgknPfJn^LPvEGthGkCYvM`kXrFUHA]X@wHU[ysuAJZxNATQrum?yixKeuqMqtHxlb<Wtpxa\\nVUuVUwLdU?Mmf@S\\UP>lNLUsI\\QRDO=hmeqlL]ysiy[pO=yXlTQwqmaQrJTWJXUVAsBlVcqOFErq@vF<\\:vwUipVFtK^uf?xSyYmvAEtyjnlqYujy:RGExpkExOe@iX[UIwUYEgvmedhcXEYGSmw_Qh^_xLCTq?S[AsCurXWEA;b=OuLYV\\oBKwC@cXgixnYcZoTTghxSGFmU\\wgsWXXsEdEy;ksQqVHgTsIT@Gi]KEfoSywv@FnYZy\\p?imoy>hIwAUw@UeIMURId_GRZWvVqBF?EicIlAycIweewLuI`yI:uhb]y:IsSIvI:N]p>im;Zi_wAqygy]SykwQui>\\sXlmXrY`XxEr@sSH<J[rytAXUuIpyohI`wAmE\\Rh`vfAxa;nrGpmVjJ;VgUWykvy:VqAox][E`rh^ffAxaiYjYHX]n[y;ZghyRxYHtwAmySK?y?_cWkuVJyqICWp=ym:fpyAZmx]uapyofyvxb_q<ov@wsH:ZnBIm;::LQyMoyT@YTsEdrGbKY@:^GpIZTwy:FuIhyMIyKgyRxYxmDYK>akGlmV:ZKmI;>ZGXgyeSyswvbpYFJi<LllXr;j^Hu[yC::::^gj=Z@;:PmQqYFyIv]SyKBX=V^awj:JQn;:Re::::ZU:ZxKeyUuIpy[y;P>::c;:NE:pIjErHsSH:jb;:hpyTpYj]:nELKrYxI@y[\\xY;MtcmXToS]ahPMyqWBwqVdACJ_YReRO=BCSr_[UH=xk[homvnyrxUGxObW;fMyVeOE<SHOcg?IyaSGgqSIGF\\yI:=I@yI:OwQCwYyHtyCxUYSOiWohIqfVUuUwYAMI^sD?gd]]C@yEFaBgUeDCy>kGdGxV_vD_WQeDAsy^AwXQsSmyOicrmfYaXemDmkR^cRVgRjMiyiV=StO[ECwb@sD=suE_xImRRIbvaYYExOeHGqUMgckQtpYh[oEOgUvaECOvRaFReYBCuCwBx?idQi`eeuugruGMIxrYT>KUnoTcOGCgrGScBUewOYs]Wi;THWeXoIogBfyXTgbAScnWEiMddQYVqr@mEb_fy_tukb^msJ;slsB=;WIounOvhiWxOvPMBUoXAeHm[YpsEI_huSFE]dlCFJkRY=yvKXhIHYctuQERirWsyDuBE=VlCHncuy;rieXlQXXEUR?YI_TI_DkwTpGWcOCiqS`sd^kh;_sc[E^_bG]fmSyRoFq]iEuvAIVeAUUOtPugPQegmHRiYFSuLGc<kBeqg=UBnaDw;RF]tlObvwdCaWUUW^cinQHD?DW;iush^wIiSgQaXgUd?ghmQYO_HGadbwHPaFC]yPwwBkGOqb`Ms>CCSWgL[Wt[fKaeZgt?IfbQuaIBX_vtwFI]ymyLuuOYMyeXtZdLdMwLaUkIpnlLYDLd@XSEyVyWh\\qshyw@XMQrjhPP]wnXs_PJTuve=mv=v:ykhelH\\NaYnV`XbxOvIN\\YWGYKuMNiqMbenSyKS<xntpSaVIHQR=UHIQbYkwYvHHq`ANjqvStnYiQ]uURUUWalqXt<EM]iKnTm>mSmduQ\\y]lmYxY:<nXhmyGZQaYiv>IvcuTc]dQoxboSOIWLqe_GdKYFvaHJwB:yU<Qixcx?]hgAgwyI:gCmuE_QCeQGC=uOaERMSJGHVuudYdOkyX;YiOdyOYyWIsgWhmGhqtbUSeyH_]HQOC@sIt]ywuB^efRwCvGXX;BoyGvWFXyey;f`ieyArekYNyI:KrsIvy\\x>Xty<XWxi?@gLPeaFnVXmNHqSpZg@x]ArtXo=i`uaoQA\\Si_L`uw_nC`ioHl^obWiyoIl=ojdq[tovZ`prYfZYiUWoeWquGsLoVet`gd]yTgEii]hFSuamcm_TKqyl[h^YdniIyAc`IRy=BGYIyIrQ[yb@k`IJy=RGkQWdlH\\?vl=ym=NucQ]@Pk`V`cydPyYGuTmbuQxjSBIsY^AbyUgVaukou`AhyCBvWW]GRgcbHEWk]hoWxtmiEWIyMXCAu?cfMSi:Wbmwsbcsi[QnxKtMjcyUrqkyDvA]y]LmAdY;`pi]YAxuj=NDxojYQ:QlbMqxuKu`OPmXtHXMElXtVxhWq\\JAINxiO^Toc@Ve`KF@TY\\KvQLL`Q]ITutpGIo=UowIoiTpb`QG`QkloByrF]qjlrUpMOXYxILGS:ji::xdJo\\]NpjyZ>`wG>vMipUWsRnoOOj=ygxOdundao_GAZyAZP`fk`_tokw?ac`ovW[ZYmYoZEIv<npm@wma^C`_LVsu@iKxpsv^NypFAcAaakicyE[aEJyI:;gCuvy<rouYDxQ[aMJyQbIKaxY:<vtxiDNZ@aiyW[v`[qHlXipwatqH_dPudqy^wl?YkWYe@YfCW]QA_BGfJix\\InMHvaVrmIvRahrnwhI^q`jX_^lgbvod[g\\PYvvfbyAZC@]qXbMYZrhoi?yA_@rqj]V^T<rQ<TPxmb<y]LrQmyLPpjir?mUfaoGHp:XK:\\NYtV_AwlhUjEtmYwXApgmYJ\\yvTjFgmVVxU@inYwWi`NwuLniIah_ivFOyha^@Pwt^hgxmrybn:n;::yLK]vmHlJmYNDwj]y@itoeKAQtqtM>=ynyofUu_MqsTxfDvbIRW<P=<LB]VspQwTwxyW[yv=Yse@yhdVNmqWiv_yVLlWmYkw\\U\\YqJHsJYo;\\MpaqHdpy=JxILIyky?N:c::ZD^_:Pj]Iviajh`huggdvvPgqXpuLQyXqxRYsxGe[AiHNfOw^ry\\RVucytovhD?xqgjnVsWNf<Qtfi^XxovVxVYbpakd`aZIkvoqbA]L@uWF[]i\\I^y]NM:VN:VZiTN;g\\osUAxAARPkiTAIJis^uhPYTcuFCuWkGYx_Fn?F;KDxmIOIe]ycHWvUEfY?b`IxPag`OySQvPaXecut;yUWdQQSSQR>aDySC?;BLQIoaiPyDv\\`nun:^@FgYAYyo\\<s]QVjyT?HVk]lTixxDN^tl]USm\\OQUu\\DqbUT\\aPb<QpYj[`YmatgmYU<yXxu=ALbqTqQP=uWgUyghx^DssYKEHW^mV`Ay^MWHhUumMHTqOyMruRn:p;BG:xe@?jKgtxA]rW]PGsy`qXpdwo\\GO\\@Wyc_upqo[As^Vxy@hAviX_tWYe[yh;hhufg\\oudQxko]mxgegZrQkmyfThgDHyLWir>uZHlNa[KNeY>xH@G:::xuj=NPIoIlJxDjT\\rTQnBUO^LTWAsJXKFPRyDwGuL:tnGMPoYnuauDXJxelyXraYpMaWhmw_XQ=xsLaNL=nCuwqPvOeMVEnx<OOqXqHTnLyPyMvYNXB:;\\y=KsyLrsHvy_x=Vty@Xfk<fruwgApaDvjui`xYu^vlTni`PyfxhLfehOlUwlLwo^vnrIsMWjYPgmPnrW\\;QeIOj]>x^O`?oaE`]G?\\@Pv]YifwfiNjWqcC>voA]X^lY@xH@I<RwXQy[yA:ZAvny?V<j<AjjxRjym?pnpxpDTxUqqvPmP]vVQuW]uYqwrHj<il<mQ@`L[\\V]`mchx`YpgmYM\\yqTjIYPk`tGPnmLPe=mEauLTs;<mFIoXtq^<JlpmePkMyiB:KAZY>xH<:[lF`TvxJ[euDQT<YOgQVlYYGpQ\\YSEXyQmq`dVXeRclnYAY=TOOTnVPkHYK[yo=AmnUWUdniql@ErnUYsqyOEKLanQhsFlwYpRL`yDeY;ynNQkNyY:\\:::::F_T_il>xofn?ioGipVIlIYgdxcdhbaNul`bMqoSIrAFaHHbqAlkaxdPtvO^rih`fjd@wi`a`xsLwpHhtNquW@t;a]<@c[Ikt`ndGy[fiGYgyOrsFvyAZtIZcyuruiX^]nM<JJukHyIR;WV[UCgeFNwSqWEpABCwWLwccuFsMuAaYxYuypQ?YxY@XH<yy=jx=JtyXxwejYNxvAxiJY\\HwYZ<vrA_vcw=jx^aGX^xyigvy:vwk`eaay]:;gCBZrY`=NZc;<Nf\\XxqrK:Yq]@SLyqaQxYqYuiLHyi>\\:B;aPrkACIBJUtHyA\\l?pkI@SLyABD_IGYVxsygyI:wWkauatRvJGkQGD;B<B:KY<IOje=@jkHTsMmA;wOITnByY:xMEyY:XYfutstyBxF<wC:rI=IAj:L=x_Z`_noi@Gly=rbKhnyss_yqwyxebmyejm;oAvQI\\X\\Z<;>EjAmXwYNxuygxiYQfIXpcy]mYyiwy:fIIA:Z]lay:[@:?Zpii]jpxiimfMyAayxYuy=:a]H@I<BvOxiB:KAd=jwumByiynpyA:^wtyBhwycRmwmXNXJZJ:@:Ksy::>jkHtwymBwy:vmUyiuawKoxwW>:s<w>;?<BxAbxBxxe:KyyVLyqaqxYqYuWyxFLx=bejABna:ZyBA:rQ<DyuS_xIIiwyhyqI?uuaK<je`my=::NAv]jEXZxue<_tvamHWaApaxvs^<V?::r]^A>B>:r<FunyKB:woIXPc;P;Zt]ruiX>w>;?Z?:nYvu\\wKVXRYXh[=:ylKuIYZJY<:D:v^ohwyhY@rrQyXmVG`YEIV`pPiDVoiVpIYLljAlytUOe<JlmQSQqPyUvYNXJZJ:@Je=Svyp[MXCMq`hMLXXyqmemYO@XQToOtkeHTvUpcQNdQJyiRjqm[xnVAKTPlbirl\\kN=L;AqdYKIlSwYw_HpllTi]WoHs_Yt^xPOhO\\Tsruvjukm`OcENDHQx]lydkoYV=myYxi:gAro`ly@xG<yy=Z:^xhQiyAZ]xoyfncgwvXjNXxuXmgOc\\qwEWr[yy:V\\UysdnbLXmUwv?xeEicDPc<pbgAnF^knonAyndwo_^rpOyh^plpe\\Xb^vtqq^:?ouppvisqidqGq:a]`iqQnyKvqIJbI;:yDxI\\Jxij`xhyacIuyOrIXgXNr_aaehrtvdE``YHkTnngXnbWlXYoWGskwfmOZ^>o<HbGXraFkAna]ypT?s@xtAIhRQgPvZ=QavpptPj\\qvsFfQ_[;_[Yvwj?vFxjVNjtwtoxy:NroFvhQuX^myfwWyi<ExGDyusy<^rvy:Vutxy:fjj_anVewxstomqOdKFdnOvTqpppuUa]AXjnXewXaZyvCpZiP]SwuIg\\WQr:_wvfrI?>KTAYBlWTIKsdwCI_HwqH<;cGgc?ghcQTIKtIeF>uDp_w^mRkeRq?dD]bfsCYEtOwtbMoGlXnlQYhyeyY:Py[ynyOt>oofhykokm_eaXriiqywy:^envy:fy^Ncbyo]okc_o]plnFlG>tDQq@XdlIa^q]vPvlpl^Q^XxpiHecYdAyg_fqwiv=InNHr]_gh_^HH^;ilOycDAj<X`VQjNF`An[IxeKqfu_fp`tgq_GXs;v]SyvA?v[@hAqvBieZ`]]ik=Qk_@obwtkYge^orQhaycjXqu?ggy^UWk<GxRFtXabn_deFkO^nmGsdVus@wenkNqqM>u=IvEgwdnraO_qQf^a`JG^tPl^VtGPm?gqShdY`^j`_<_y>IhPanHfwvGcZ`qBX\\Q?pr_vBPsmh^NqbWVn`oaw?uCq[BfxSnaNXYyUK?FHmVgQe;acpuWsoWC?xFshJKGQswLsFlqGOsvekR?GixyrjuwNeTvADXQGk[BPkHGoGeiefMuyHpAuJDdOEMJLtrKqLp<q_HMHhTUtJeTtdumCpOiqnXmqZljoTisX^BAlY>ytqlj?jefj[GkDOl[Akdn`gYdD@ZgygvheaXuConAq[Y`odQ`dodyNuJfb[Of`GfAFsmyaFYqyotZFray^TapyAZo`hyhpoxnpinAPuPwe_FnuQciGeH^u[^e^y`HymiveWhi@?igyh:QdYaurohYW^=Q]BPtnFja``TotTxxKVp=v\\iAdef[axxrvw=ih]amcpyUNgcOvWp_hqthAr=yn_`tpylI>gq^o`PyE>q]hm=xgoo__v]`NZdxv@Xf:o];hi\\i[D^r`WwTWtZHy_>hlhe@_o>Gel>lCVsfOuUAjcYjW@qdPqYWkvIayonUQgkNwPApTiuRn\\TYeCPl[V`GO]BAkuXmPXr]GgaA^FHhMXrW_y_nqtPlp>qka^LVaYgilPv;?gkywyfgugm[p\\:_nj>lcP`AFrJwd:>pc`_xw\\dqdPQdZntnptXxvCO]GGspvc_ao@NtTiuXI`uP^Y_x_W_L@bXIb@>jwn^Xqy<qvdYeUWguIea`j`?e\\ImWVvUFmxgf>FlmI_V_mFNjtvvJn`qPneheeVgtNgUx`lqw;XqI@`xF[Tay_q[OnkI>aLOi=>eX^\\jacxv]Na`u@q`vp]wfhvnfVuZNxTivhpvSg\\RXjOQb?v^VhxR>rhpi=IvMWr\\YqwNfeidoPqqhptHcx_spqsv?vmH[;hfhVfA?s@Y^O?b:?^^OMWyUsuK?gPqR?afNgwWyGTEbdAdDKhnSgnSST?CZ_uRSCjmEaKGlGIbyD?MysmDiaXKwVdggjtLsayPUqf=NieN`IN`io?LRtLlB=RfljeYlk<YcEYeuYgModMysMJwlVGLu:mxUdNIhk=Ask`ruEpT`lJDOfYlYlXCiLkHYZekdhXvTugLSTYKYAlf@lwEQgXLgqljiQ^<tRXRpTsF\\RUImAisr=lHpKeqtLeO_<wheXUUKsatdhlPDvKDjgENlAM<Dkh<mWXSi`uDxNg@ym^pAPlwVbUWt[qlu>mgnfEhwkFm[NlqgdFPahQs^opC?^ZOZtWZV_oyAZHvoof_q?eQi`WxcE?qv`tnWwu@cvYqPV[dWxUIb:^fhfrHht>`vjAcvwfDHlvG[dhb_wg_o\\[Pnvpht^jqoxlwsaXpHafuafqOdfvkuhj_F]@_s^g\\Wim`@jtVqy?\\bQpBXbdqlPPxEYZV?ka>qGh^lAljHiDngBIdkPpWqZMQljFh^Nu`IkG>otXmTWt]vpmisq`mqIl>XxQXjPNvkwq=`l_IjgirsWwvI_upaYFqJqbqhfpYaLXtvho`oylosZ>iJ^[p^afP`Px]rgmRAa@i_rwm[AiOa^up\\tfjW`jMVuAWgVV_h?wp@wpPr<Ns[_h^fkZ`jIql;WaOpp`@ZtVqYi\\colpX[rG^Nqg=PgLHgcf\\gHnLHehF\\^pdO_eHHZCpyf_xSnwdftY@knVg^`peFoUWr_^uG`[pvxL>[aHgN?jkA[Ua[^Od:G_<xbAFn>VxpouE^tf_iinncopTflEpecQyMQgCTmsW]QBsUxx_gd=y[arAkvGkStUHNuGx?eEeIteyTUfJwhrqU`gTUQTmmdo_craUFKuRWVKaTl;XPiEZ]rM_Tp;RuyugcwI_GquxYWUTyeSgG<WuCqISqTBwX:UDuWD?[CBWGLWHrGdKOCTeWQWsPKHeAIoSISmW_iUK?BQ=g^=DfmcDmWl=RQqrIuHRoU>yFE[hiebt_EXIUKoR_uX]EgyuVU_rjQE=YE==ugKduGCXCcOGUqQSRAYRwv<IUEuFLwI?odcMVXGWEEIeyBUoWg]fsiGg?CKOvDAU<Sv?GuCgfWuDkAyWmCCoF:QIr]yWGvSaCuiHWei[IR[UrlsHb?fKeFP?wk=SUWwkAEVoSUAS?setoxOuvVMRoSc?qDPoxTCvGMchkRoOvfksmOX:gD;wV:_t=;soqftyd<YWWQRxeyHuwLKtTmGvYF=gswgcw=HYeV[qvw_DeWFkGt[GiRWbsSB<ORKMiyirJgy<QuTqttQdWAfNqGoSbZ[x]eCccETeFjSE^wgNQsVOx]iF;OjpIwg@Wltr\\IwfHwfPQEhLlhvu`kELLH@kExMXam]qwneO:hyeqSoxWAXpdQY>Qm`Tnm]nnLxZpKp=qgxN@<l>dSb@WKeNKUn_=pFYumePImWwMJEUWC]NsankTPqYxsHmgILCxnNiLC]P;loAeOSpMoxjRawy<WYHvy=j:Hpy=Jk]pwqkEqy;lxY<YExMyUL:YL^QyKILe=twqkE;g:YVfm@R:brDJxxRg::@:Dhu=:<rM::b?r]:F:NV?:::=:?qw;:;vC::n<vK:@:Dh<::Z;Z\\ux:Z:x>::T;xB:=:?Q;::j:JkWY:J:Y<::g:Y>Z;Z\\e:::R:brhI:BZI;:ZPZI<j:JkO:::F:NVqA:>ja::JEjA;R:brD:::@:Dhu=:<rM::b?r]:F:NV?:::=:?qw;:;vC::n<vK:@:Dh<::Z;Z\\ux:Z:x>::T;xB:=:?Q;::j:JkWY:J:Y<::g:Y>Z;Z\\e:::R:brhI:BZI[\\@nui]Pxi^y][wtxii]vy:RToGRAbM;FDOjCAJZ<JyTYaHv:ENjHqYDky=jkuweuyXQqYN^t?_rylyAZXnxyhxeIoyAZcY\\Kiennpm^fYx[xhxyAZwAhMyy:^xKX__xmxqafwieyvyAZcGsVwt=yW>:csypYLdnnYpy=jAisIdyvyiTQhQ_aq``>WoqibgN^wItH_n;fbN>d<NdKiBcRNED:::::ZN`pJGZ?_<=:::::RlCCLiHWWF\\mgkkDrwEW;bxOChuwf;sAewpauypnEmYnhylXTxqygyqiQxyO]:Fp?wduifa<ZxRTyI:ycWyxwmyYGHZSSNedymXT:r]ggPyumuxguiyyTv;w<cROyego<Z]hwPxmmyxgwYyu_sIT?RkerQUi_y>:qA:>:::nA:J:;:jA;ZZ<:jK;:D:::XKEMR:ulpyVcQ_:B:f`R?\\BFa>VZH?n<Nkb>n<NK:_f_OnZTwOaxYEYAHrnY\\HPlfp[oxeGwy:>lnw]CwanahN`^AF`ky_xiagyieytMwy:NtaNnIHkyGxiYgyAZXOqYpyKhaOVtEWfpFcjYyiyeyuoUrIyI:Md>oWPyqkUx]uYYyQumsDqVxtmwwYeADW\\tTEyQvayRyY:xtIqyMQljpl`AKOpybuNMythMKo=S?\\LK=R?\\<:V`vXcePubQ]?nyqPimh`o`k`FgPg^F^v<nZNN\\;^aH`ntoxdp`xY_LibJPqOinG?[SneovkKOqqpdwOkS>kkNsdAbSfamwrHGmYprT@_ky]>hxG_ZVi_qXugasxVh?ov>`vV^lBaur^v^ghhX_?yeIf`uvsHNwCHfk?n;wimwnVGuwomEibEWesgdSi^:g\\^@hLHiK@olfmRqe;He=GZ;`uVYgti]wPoWycfHwkArKIsd>sMAoP?eVY^jhx;FuNOyLvZLgZ`GuryVib`chpUdcQWUsCvmi;GTLAGpgBPCW_qTC_gKkx`kC;SvekRlsRyIyjMtsKU^seJgbnWxHKFuUea;XU?rPkguYDaOXrCYx[VdkxRAiUgC^QDNiGxmc<MuVMuNke\\mDUGwVAs=_W;avHYuOAviurEYDveI]ybr;HJiUNkyf?hnqtPsxk?YM=SbmWC;UVgE`cN>DnsuvFPsy@KHUPQePGTvCUtheOgdPWPc_hr]AkgQnThd@GmrHyJW\\CIs=FxO>sW_ywvlLoqPixWwdRojwwcSWti^_aOlUf]KprMir>ne^OgHasr@cNf\\hvhh_abHyeWc>qyJfi\\wwvOiTXu=ihahr`xueXeQP`U_n@Id_qp[IpqY`G^sV>fFx_>nl:hqd@imhbm@x_qswh[LQgPollybMfi@@c^i^^ah??dEO_a_hc`mj@rsf`OvkF`xcFnOxwhpbK`^QW_g_^qNx>_o^^hH>jRfuKQp^x]OpkmnsIf\\V?ilnZriieGvSv^CPv?Hvs_eTIoSOkWg^=qZI@auNsOHaHQhCwssfrPqiOFwQ@kPtU=uUEE?iwaGufqe:[xpAxWEIgKxdsR^AvvEX_US_OBumrQ?F:osG]yeGfRgg`QUeodpSHkihL?Eh]fNGtxcc^IXBARIas>;ywgIdcymsBxwtwSdgcxYgWEUSUWGyEvgqU`AyJAsL_bLOokTRgIh]yZNAfXpeuIvfv`Mnr]wtT?a?@vuxrRqr[qpgqwOv\\H^\\cN\\g_^cHaOCfEE=gwYSbeUUeIe]yS>EdswXTAELqgW[wHwToUWUUGskHISHcCfPAg;EC_gBBQWVCv;Iuy;R<Ys[Ytp;rocejSU_wvtuYDycVAbfuBxsSRcveih]egPihkwr@mWoGRaGreOevsGFUx:MvNEElaVmObBmSxKHFwwKWuHwFFYvjKg>?hnQrXqXWgsc]DUUHR_GEUwW]EAmIVkrAiflcDqEGPYV`mD<kr;AXgqUMEdUeUSofugy<kbQCip;btUcewHssYkiG>EiZEIp[gpmR`qh`;EWouIMFgUcQKTUSYWqTHWSs;vMgYOkg]ML^DOs@K>IXwLYLXq^mKe=vQeMrYJ:yPtiKNuqgat[PLMySNavthPChWNDSmhYFPufpoZ=XFlv=iVJDUR]KjHtnLyd<XkLR;@w\\LK:@o\\L;:::ZMOZ@hql`[;nZcQ`BNyMQwpNlrnofanOhtKng]h^S@pAveT?ZMXekqfSXnYWgpNu@xm^yy:nfcYwxgknx]nprqWZj@ZBG^Nq_I^>kSksDossK=YywbnOxM]BqMipESkcxPEXisXfGF=;BqmGA]cN[EL?ydkyZWDvgwhOWToR]uYuaVmEGqueb?rCYF=kuHqDaUi=]VLIXvAT@UyZIC\\cwqIBxEFbUeQQULoHq[s]ibkuShGhYAI]cYAOE:Iu\\sWMGGxouxKDfueHQthufN_yDcEP?EQ?t]OcKEeWsS;UbBSRY?IP;ER]CQquewrJgbf[wCIV_cgocxpUd][Iq?xe]eB[g]AD=Iss]EA?VK[VaqgOgSVmgTiX]sSE;yMerQmhtoCcgwYWEggv;WfrQSgItDSbiOekChAadWkUIicG[cMOEcwC?[hBgGf_gIWshqu@MurmWhewXKgGwHqCsy;BTaBLgeumD=yxHcbDkRwkbr;VFScIWspwDG_ry;bj=SEEwgeF?iwLaUW?BqCTCmg_KbwCThaYL_yjsFF?HhgimgV^]yOAxGickohyEHu]f^[hPsH\\CXvwTmsSM;c\\[BZqGFqx]mF?_FJ;HCABnws`=YLsgQwhDoGhaheesA_wjUu<ODnyG^]GiWW@Mr@]V\\mVZ=HsOcxcd@WU]=ylurC?hxsdH;IFkIUGHUmhe?WqGslmEBqRvSFy_f>[MJTQk=RSxTyELgLLwHrf\\xB\\spaSIilOiYFmtpUpUYoRlU[Yo=PXCtLiIjmlq]<rkqKUqRTdKEasm\\tP`rUinOMQHQNX@lLlRSTR?hVa]kmLJuPmFEx=TUdAx@qPXpOMprrHkEaOPuXJDp[]KOhVNLPqpm]lKjPwHAJtqjETnRAWpyLPExSAUUuReqw`DwR]obEJNMLHIS:aMJqjAIugxY:xV>xuqAr]`wPyiaajYwx:QoyepoyOuI;SyiYixyU]ybpoyO:>ZRWyovqvAxEpyra\\wOmYqyrgbyAZvO[ihyihny?tHWsxyy:vnrItwyo_<ZJiZIXpU;::::rA:Z::::<:pI:Rn::[@:>ddo`JY[ENjZVkwYdy?Zna`YPut=Z;widHwggftno_pfCGk:PZnwv=xw:_]_ylvIiUwy:vtNvarAwcPwEvarYxqxrvQxIgy>^doAfNFD;jb:ZZVwO_xYIyAFbnYlyuKMdOIbPYgcyI:KhHYBcyfxocL;uVyb>yqkuGu_wQ^t??bAgyieytRtaRnuD?gwFv;Ry[=cY^vmxEUyutIyy`p^m?YYixY:l?;RyCcLMiEMVPUwACE]MGVmbgGdm;DpAIH[dM_SK=UE@KSpybuNOiVt\\sI`UXqxy=JQHQwxqWiNuQty=JIYmI]y=Xmy=jCDo<dROxUgYSy]QiyQjmkimy`xKoxovIxvxY:<rsxqrMm:DP?yTuQty;ZAOuQpY:<JfDtOqyNwvGxvxIZGyYCXngYcyA:<NE\\LOyidwes=ZwGoy;ZJaZnadYNgY;:::::::::::::::::ZrQnZXyLwYYx@YHyAr`yI:MvbUyLyQXxpY<YAxPyU<AW?Ibpi>:y::R:uS?Ibp::::?=>::vB:J:::jb;:>B::jx::[X;OfD::y::R:::j]::;:::]`y=:;<::fI:JbOK::y::R:<S:eQ@MG:Zw;:^ZUY\\uYkyEYOfGIswibymY?Ybp:::Z;n`>qy\\yy:vu\\fKuYksY[AdwEwy:j]vL:>ZGGpy>qyxxBYn\\wikwiiIlJgycxI:FTxI:>bM^gIowifylA_RymVyeBadyNgY;:u=:>T:n@::ZY::F:J::xY:tu\\HNuKI;rKXC:<:::::@G:Z:;:Vy^adyNG:jx::[@:g;_Y?Ybp:jI::@jXplehYcrm:`BBIZxMP@odtYdyusUvsyY:<Jmyi\\AG_ty:R\\;w<cZox_vIxvxy:>rsvqrQmx^ty<:Dj\\Q[gYcyEI:xrTy<:>ZktOD?j;j>ID^A:;vCubTww`yI:;Ctwc^yEtMYDweo;vy;Rdswy;:^`oihMio=Yn[PuaYgcPdmV_K@ls_]T>flwy:N\\yAZ]]w<:wbwZ:FWjSvmI:uIVBw]nOutc@xuuwYyY:tTGxQyEsLLqUEMXUPLdrJHl_=l@Anx<TH@m^]mYpwTLrUMM\\PvGatk@NPdmRYvQmmeajrIM\\eYeMSplPt\\KMXSdHvhlw[hpnplnEYd<K>EVLlLMaOY@OBATU]n;DjS`OiTmruYLuwE@YQ`tjiqHej?hpWXqghm?irIMyEyQSqt]mS?Aj]<oQ=RXmY^MvHet\\pNZQY@XuNyvMMmlxUXyQgHywyjFdxy=JgImnXt`TRoExkUOGYvaLqBmrpLlcpxFmo<ikK\\nA]sY]qDyJVAxsXn;myrdTviR]PwqYlbYS_\\OtUTdmPfdVAAX?`mZDl=DPFpP<DSDHkDUvZ<TAxY:HqmTraIx_TSyAyxip^mqVDH[Rtww@ahuewHKwEWYGqRWmw>OiHeHi[fK]vpmBsEBb?vIEs`?wuwhF@WaTPU]yVyu[eOuXtXTrIQklMxc]lSiyctpBPT>]UA\\MLpRp]Ta@m;uSW<rALOhyWiqYnhvtlwydoriny`RiALXYWQMvraOghwnhvHpt`qTX=V^YyIxPTqrf]JStLUlophLVYx=@SBYn]TTvYYiLwtpmKdnSEWtYnWUWKTRoaKYPwMHsqLKRmO`DKhDJgPPsujlmO;lkk\\KK=XwTnkqYquMTQpXyqiHyAUVXyNe@y]aRXINPapeuqGXScXRapqFtTlAURmuUurfPLBPvWtYu]PlDorMT_iUDljqIoBUvpdpIAKx`npDToUKriOgloxhS_xmr]MA]nkqv[]oG]SmMnuPJ;URZXo_MLSaukQs<<Vuql`=r_<kAHqBmYnQjXqNvtyOAyUloIMVgup=YtgaXUirt`TZHLWEShXsUiOnqTMUoFlw?LM:MPK=P=<jCQuNqPyeLo=OvlloyufUyU@oZAj>ITGmxxUtfPvGqo>`jdhJl=X>`v?lS;iQkhr:ixvypqyKeqr`YV`aquytWPWx`QPaxsqwfyNM]pbqWfuNY`WYQY@ap?HNH@V:AXaMJOmTj=M<tPfMOxaUs\\qwqORIwkipoiqvTosYOXER_]PQYNFaX=LTBQSrHKqxWQPNZ<JhUQs@NjLo;TWSxWiymPakqxHkwy;r[whEsWvuSh_cPMeZGtnSWwcbGiV[?IOkwv;R]sveoYk]cG[UFGVN;VJYXOqvumywcwy;BjYhy?HZGslyEXwIgEuir[isqayuMuy@rIqy<aKYyY:xswxNxmjy_wbNZfwpqykeqbUWyAixbXhwwYwcwyFxmry\\wbhsqaI::::FJ:By:jo;::k@::::Z;<:sA:hH::Bp:::::FJ:By:jo;::k@::::Z;<:sA:hH::Bp:::::FJ:By:jo;::k@::::Z;<:sA:hH::Bp:::::FJ:By:jo;::k@::::Z;<:sA:hH::Bp:::::FJ:By:jo;::k@::::Z;<:sA:hH::Bp:::::FJ:By:jo;::k@::::Z;<:sA:hH::Bp:::::FJn^iwqaquMyy:VZyVyD>ZYh_eib;Wm\\AhgfoCvy:voIqy<ymgG_TPusNk?x_u@jUAj=QpoyWKEhsrcCxikywewyxthxny?cXPkxf^yAZAiqihytOwyOy>_xQgcg^kSy^=yWxiV_@pYLd^aC:YvdybxmyydWsXoT<ywyxixiQi[yvYMd>oWPyqkUx]uYYoXevmUSm?SIAC]QtsCVJMCNGWMAWV]d^GbX;i>KTA_WYOUd_HWaVD[VtoTXyufuy`]EgYfIYDy_imyXwyEuuuqOEhyGWcTMeeTSVOWYeex[[dnKwBeIc[ve=UBawfCfBAxTYE@Sf_;T^OC[CCR]VZ=xB?vK]TkESiEV]]GhgcogD^qr__CQmMK`QaeqS=x@lVsDQa`n^QtwQPIyqkEyeuyy=jQ\\ybUyWymvmyTyY:xu_uYT`o<AWcxwZ<wPETvpTTqMO\\jhUWe\\NpDP@IMQeNUPk]lv>hmgdtm=L?Mm`ij]HWppxpqLThYjTSuAUgHLXANlAm]`k>QKHqr`MRP`uMHtUTpVXUuiuY:jxttauyyplyxXsyY:pRE@PtHNEHSLMVk@mndOxTPBLj\\plKxOPpJVij<ayr@uRlrkdPwmj^hpMaPeuTiXwaDuUIpOlNghKtDNl@P=EQdljRmKEdx]HOahylxSxuYgxiYivye@wsoIuyxMEyuuayyVkjNqEVgeVa`obp`pp@j`phRFnNW_J@n]AZ]gjK_xO_xRFknhmcfnLnpQxnS`Zg>ZmGgXFvMvfnGi@qhWfsO@wq_]HhcEoxuxasUgvQV]EI`PQxQqYJmXK\\DqneQhxtKhVM]O^DYYayFpxkPlgQxv]sBavvIkCyV_uu;]JtpsNTtsuvEYtFmq;qPXew]iu^qmktvS<UlmyXamnEoxutcuyyplYyXskIlpSUVy`woxRwmxYIx\\\\ss@lEeOqpSu@nWIWpuT>PSmTjoLQsLlbPry\\sI\\SAHjtHj:anvTTfqOZ=waPpqdLR<SjLvViKamO;YN<XU`yNc`QoelaPufyY:xvlytxuyiVNguRUWsYWybbShEKFgufGAHL]g]IhMeg]KRNcDYQwvmCOKR@YxOUEdAWVCIrGeectAQufyI:yvlytxsyiAyKoHuyI:IivihyZ`KtM_e;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Ncqp`HIrLNwWIuHPZfPoCwaWXajNq`^]jNyOiiqny;?tw_^yAZKQpOgjgidnyusyZ;_XvBOtjms]MvY]yuQM:t?faN^iEwy:vkuwetixNyYcY\\KieovPmbfXrieqy=Jy]unxY:dY^PScyvy=jIToYPysyY:LUluto@xuuGtDDcnWpyAZAitIhyvwy:fwsV_XXeTP^KOs;pytodvny]Vtn>anVqC_h[?oVQwtVm=G^BWVXNAiobGlCiwx`d:fhfo`tndDiyKaexYnjYt?GxHHmO^yM`ecQyJhqQWguxfgOtgfqMIsTN`M@p:huBAs>>vFpvQHuM^ub?y?HnBxfsxm=q^uvh<HcnytUY\\UrLKVuqxBwYPwevktkUhaMJ[Qnttk@xuRYWptXxqYApJYDY[qXPuxpawk<SL@rb<yHTNFPkBun]Dq]dP^yo<eokHnrxPYhTNqNq@LCiK>\\vZTyTDSvtxGLJQLpxmxRXmauSDtR@IQc]y]Hv;=nTeuexUIuYqUyluTQuxlPn[llLQosPU:PoG@O=<j]MjtULJIPLLWxqKETUWMkEeYCdP`=NEpLPDNs\\NhAmItwnyValSdeSsAnlTt_@qk@XtMwMMJPTqrMln`u>ux`EVNehbYaTFcvw^]Xc\\ibkY[=IaNad<pohnvB>[WWjqYivqqY`wuix_HxixjUarXp]Y@cWoc]ycMN`QnlRFtqQ_jp^pvd>N`jV]Ro]ZHl:_]PGn]iuhV[In[Gw[@hoXWvXombG^HPvdquBVr@IrHGuYgvNHayVqefm]aZjWgDws?QmXVn]i]AWrTqdOXfvOyTGspyshVgkOaBWj_ndVIvRafdxw[QhkWlPaodo]=VqNaamn];hi\\iwTWiSG^TPuvIij>_uPjPOf]OuJ>[jiokHejNb;`u`wnk@xWfniPk@apoV_AQjuFqiAnlhfGGlV_sFPlC_qG^wDVqv_nJX`AIb:_]>y]J^xeyw@vqB`xIaZIQ^hhoPfm^aew^o_^km@[L@b;ImDOlky`uqoRngVfmGy\\?qmTfth`hUViwga\\vlSwpu?kLWgWGnOWZhGZpa\\`gZH^dpFhmYf>fdyAZR>yMVcQUFyI:KBw?S=WSkWWuWiSOfqGh?MDigfKcDWeeDcD`Ay;Wf\\IbLYD>keHIiN]iEQvdoDx?vsUtZKDCAXSEBcUr>WU;qRCcFfEb=sh:;bkED:_e`IGkudEWxQcrjYRZYYsivjOxe]S^UeRWFVutOCYUCys_FV;xSMEtkee=FyEDcITrUuKeDh[H[idpculIUVIWX]U`EtrKFk[uDAYR_S@=epmxpMF?uFi=vbAyEGBpky[Ahxgv_Sr\\EwLKGbQt\\QxTKE]Sx:GVHSCcsrrwgXafoKgTwI=yExAtecyxQtn]udYXWWbciygsv<qFlwTDAcFCvASCS=h>[rZ=c;IrBcCQQr^QeqYrZExI[y\\KDBwYpqHAyFSqt;GevyHVmdFar@_C[ibmeHU?RJ;S@syG]UcOQ:xp\\HwJXUIUVyipW^fCx`eF^Dam;`knfgVVjKaf:>v<`Zl>iTwy:nyMFsvGdiOvE?q]nmBf_`@pP>tnxgVfc]FZrpokqlOHsZNytgdIxZcY\\cYhew`QOl>ytTnneh`]a_>_wOOr??]S>ZaQsDP`Wqil?yrfr:VgyofRyiIikihysyejYnuq`=qyvggywwDyYEFQ?GZMsyTPfyA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Beyf?kXpEhbif]_XqsBQqHrSgLYbxCiwWg\\]GyEuy;BBAsy;rQgsqoYIMSeChw]sK[dTww`yI:;CtDcbeDKhyewPUty;B^Fcy^xnglWobHXf\\yevYiTyy:vthxnyEcYTKyb>VvXyTu?V_`pl@agMHvqqUnOtIB:IpA;NmriiqyoyAZeqjYxy:^nChefvy:FxoYfyuQysxWdLIiaGy\\?USqibgGYmry<lLxiiXmIhyVfxFxqnodIYjy^v>vqoYxkwy:VnXxnfIkhagKibOV^D>_\\d<K;jo<Lq`uMAOZ\\J=Tj<DLJIo\\eM?=JNDT?=JN:::::::::::::::::V_YnrYOx<vaoYxgwy:VnLqpev]@=:lsuDnw\\k[eydqpUtILly=jbEwd@sxePUisy=Zb=nqJYyVvr>yqr=p_yEL:IXiNIdin]FtCAxuJhLmygYOTtxY:xrGyKwC:o@[AyqeqjYxY:`^tHeyurGykbwPS<YUThOC`t:PNp\\YTxY:Lv<yqoExkyiAga\\wktxaIQgEG_oYebNeEVeEIdQ>mlA_L@tmh[fAe<`i;qmR_tTQw<YiWpnbgslweTQeiayxAuy?vMvikQsy^poxusiyjxy:>r`vy:VvNHq<vvUOmm^eQpxPXqyuIgwAkI;yHy_u]UYEieyyEUyCvMrikYssRZaUeUX@WwLqyLuty;raqx=si:YeymsKgi_:ZH@bspt`akQi^winhxy:vsgyjxIZqvYsrbqyLu<:>^VWwmobeOlxQtQyiaqx=yY;r`yI:WVNuYcW?:B^WSWmwbeSlyUTQuiayx=uy;BZUty;rkKcy_xo::Kx?oCq]h`CyicWgZ::vicWG:Z^Y[Wpgbgsl;::::_U;WxgccSmwEUYE:jIdWg:ZsNZa=:y;jA;:l;:jICyZpqL:JA;::Zu=:BB::A@b]pI::[>jn:<:vRwA:ZBMhCsLEJ::xqn::^Vt@_=:jY::bV:::x;:jV::x=ZI<:^=:ZYLx;gi_:ZH<:::qA:JJ::HFJAgY::<CZc;>:rktI::K`VMl_PZ::vic;:BsnGDA:Zy::Js:::v=:Zs::vA:Y>:BA::y^v=TYE;:W>:::hI:ZZ::VRZHTy::>L:M=B:j]oY::\\Fs`^Eg:;:rYM=:JlcUNH::y;:Zl;::rA::m;XvrwYMV@yqQisqpYIPsDqyL;:\\tQXtdyTJUkuYMEUrQ@ML@pH@TehMH<mFtwrdVAMWN`w>mxXdqAEvOaxYEYAHrnY\\GPlfp[]XZV^xnQotygvYjZPyCwy:Vn^wnNYnR@yQxYwjYQicxYMy>]xKCxiZihE>COVtEWfqFCkYYiAQayEcMnP<vCqvTMQ=aOx`u[EU]iuGiKHXpIDoOdSvwXVWBcFd:fx:vtvvpn^b\\Fe:xrpqi]xy:>j@ylHey=fpYfyAb@afTWBVEbE]HtOCN]RXaxY[xI]ty<vkXnHYmxIjtyKxUjTtldMYDppi@N`\\JXaxY]xI\\ty=JjAmKuvGuitykxmE]PtMkptK;=RKHYMyY:<TyHtykAemqdy=dxY\\Y@dphhTn]LguU;=B::jY:bi:::vA:?hxOB:Qfmqfy:sSty?jNUqAAn^LRauMhdYbLJyLqiMyALwy<YF@wmqny=JZpy]xY:@j@inTqq<hke<WbLJiLqi;:::IDb;G<sWt:VNtIjE;::::HTbAOTeQ?<::^A:FOnbKAwbNZiNai;>gmqny=jLewXPjG::rb:r_:::xB:O=::BI:Rd::Zb;:PD::jK;jE;::vK:d@::JX:jN;::K=:fN::Z]<ZQ<::r]:NG::Zv:Zc<::\\@:Rc:::A?:i>::jA;bT:::s;:M?::>G:jL;::HD:XC::ZI<Jo:::l=:`D::BT:Z_<::VN:vL:::Y>Zd;J>yVN`MWtqKyRwUYT\\OLASf=NCUvbuueQLf<P:MPsDmW<q\\hNTeQ?lOb<RlumLxY:XvX;oaKGxinywfWVdyenIcboWTSeSMhIyRYQyy;bx=ycyI:MiBiTLiEC]WxMd<GHSgVNkrvkR[yrDgcM=rIAXtstqAxuuoy_E<jx;;r]q>NUgd>sXnsr]OVW=r?KvBcwosyJIs[cSc_WPUguUgUUxiyvVGIHceEAxsMC@UF[kSxsijgeispLpprIm\\UOuYqm@OcmpMPWP<VAqNK\\kLiNUyPpAXsLPV\\VdDKkDM:tPllOD=l=PYseT_IJO<Ua=q[mMdUKuTMUYsEHqg=vRwhs>qWprm_^?H\\En]rg^]?b:?rsQiN?uIn`jyvI`aK?oWA[^xpJyn@X[eVuSqnnphV`u^NZ<N\\[VZDInC@mcP[lI\\:HhMhvQi_i^ryX\\XweBw^NaxU@cga`eqr^gpN`Zv@lAaZBPdBwv[?m;qiOwk<^c;psYQi?_d:N^dhZba\\:vZMa\\X`erWZEyk=>nTAaZx[jVjAqy[fqPa`wQaIYyCvnNywPn\\Bxr[NaEG]W_aSPrCylQPgiYZKvv]g[Zh]Cqa=XvgYdJGx@vk[GaKQvEOljYcR^_`ol>OmRWkdxwVQkvOp=avKxZWIiJNxw^^\\NZRO^<xr^>jlvccxx]PFURfiE:;DHmjtAVJyjS@yiMvHXO[`UeQVGaXs`VjLP?ik>@s\\IVOawG@Rv>hvgk]Qsr^c^w]Vx]PpnkykB`iAwZ<`yVwqTQ]xWmc@wQpddwtJqrxQcAy_SivhG]N@jeH_<_vG@rPN_u@px`kKW[h?__Hpqh^@GhcymIOgLOo;gZ;wZbX^g@Zsg^iqkvGd[Hwl_cCyndOjmAdOQ^lphlwqa?coF\\QFmeVpdFidWl=vpdF\\\\F]MpvuvhyAZ[q_OifraeTIt@XZfhunnlPW[ZOdoom[ImLp^;GqOPqsWm=?`[>]@ngmfuOPdjfdB?^F@fqWw:gdD^\\b>Zn?]ZiibVZEawvggdHeRQucy`qqtTiegYoWY[uhuxO\\uhtDfan`fANd^nlcFZFFc]_vBouUofb@wxn`QiohnghihEVuWOeTQrWOb]QdJvwPwpoxkJOxBQ[IAj]obQgZ:HfJFr>VvqwoNNbj>sFX`Vh\\AvmYgoUv\\^fwVwpaFjIytPYk;nvTxhG`yPoyp>pJihwV_DOpmai;`alnccHaMv^RHeJFsv@m=P_p^too_L`ibqahihaIkoX]IN]rOqiYyTW[Sa`uHkGpnFpu\\nls^nNGp@@bCPfbhdQYHWemwUvwY>yFQoxhAVUuDj;eGms:aHGGFHsYjIc_qvyxUTuPx]x;`vL]yKqQltWMXmedq@PWQQsl\\QpxppIPDInwHQDTKcMN:upVpwm]N_@tqPs>tJ[HudpjiDxa\\rm@ydTT@YSGtpEuPwQUViP;YRt<qLQYXyLH<T_]jsMjfayDumahUVeMVUy?ho?hmohrO]rPHTAinVUkf\\RyYLfTWJ<q^TvBPKvXv;hXednJtvbtnv`mbxvv=VxaTfxjEHRkUrVqpjIKNelnEuhHNoPVptL@xrs<LExrrTYSUx`Tv<<QKxmJPxaxx=pWIxrjqsefquhtniw;_`YqpcWp:I][YxLn^S?nSOjFpjfongYqrhuFHvmnpth]Chm?y\\rVuWXnr^xtYiL?va?a`AmJfZxhanyy:VyhyEicKqxuutIwyxi^G`tnAd>V]igqnwy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::jcYXG]lJ`PMAskpR=`oG=dYnsehmIwcyuakwy;rBLkf@RQhwqq?ZKqpuytIwy:nq_yy:Vvo?\\Oa`iIyvykH`qq>yKgycxnyAZIavyWlygjuN[bylgwxhxmyAZwWsyekKypuutIwy;rq_uy;Rvow\\qyMYtyxCTlyO[y^pnyy:FyuyklygjQn;ahEopuyTnQBWUeieynyqqauy\\yhQnxatMAQyasIXl;xTv=oTpNVHxE@ssmxiAx\\DRnYsp:u=::jcxnywmByy:vejYnuYdHwy:vMoyrAwYEf?QbbutgwhhyUyiyEyqGHtpXYQkxZdI^dHg>afXwbIXnygjanxhhmyAZyFlxcycBPWS\\gwqoUtyI:iIqyGyWU]igq:hKNyuTMMxIxpAsm]xiAx]TYMysy=jYnyA_yb>pWO\\gqqo=jGxpXC:qA@oy`pnyY:HyuyKlywjY>:UdyJuxWwju;:r@^pnmv;Aoax>yFhn>^_Q^buxgw\\u=G<:UFoydpouYsYyIXxiCx]TyIwcyqamwyHsyn<:ZUVNZyg^yA:eu?giay^yFhxiCxqn`HaAfbRheLNvyEHuxcwyEYsy;r@IgPKhSgg]gD:iRq[f=;tj_Wv[v=[ys]FNWscIw_ARu]Es[v;]d^Kt:iWdebCuV^IGjYrUasyXn^hnbpWHXV\\?Y>ZihEyQ^bIEK:XvXcXxa>sOjMjyBQxY:pIXpywKdiyepXoTZyuoUZ:FC`oy=jkUx]uIlCLM\\hd?OaThq?v_vFhQAxxihZf_NNjP@jDF_G>ZnaaZYyJOZKIcX@biAbw>xtSvyI:ycl;f?OFJKuCAbxwvauyUGHZgb\\WDx?GZgb\\STyyeDCee;IBUV?uVsKDoaCREE`YsCIb]uED?bLOSj_Xg[eFAEfIXiQxy@YDxsfesU]PPqqAewIxiBPnbA[bVo=FcOAsBQkAyy:NZYvYTtHIMeXJIP_xaZyvYqbbKI<KudySporksiv]wy;BjIvy;rrcuYCuTyrvWxkyI:?:UVncU;OeDYhwGTfyI:sCuyEv=sy\\yhykfksAuy=JZkkge;NeDXpwIlfxiIYaY^yBvixy`Aox@GPl=Jvw\\:od\\`oyAZ^WgY:D:Ry]Fe:RK[X?Kwdy;Z:]]uY:N:Jt:JX:\\iY:JZkkgE::ROWUBsGgqwLqEd;i;KTpcXkMcUEVJsBdeib;YEc:[RnsvRycPGdw;ixoyOErrUsEwDikY`?WmEwlKGpkXMOe_oW[uibWgNybFIESsXJ=xmivv=R_OX^;TAgyKmBBCuryvvoYWCGlsyDGXGKbYCsqoHpmBueY`esXQEpGSgId[]CS?GHCw<CCs[iCaYvaFaeVSScGsFoMsXAIpWCgUiHuuOExVuedwhwKd^qs:UrlsSVqDushfqgl]X\\CU@;c=mbhGgreBjgyu?ipkeIkfsaFVGhVosSKgeIDkgga?c\\IXL]i;eVUYuCKVeUU[UGmASycdbEENyI:iExAEaCsbIbuAga[U:AIyUtckyuAxw[VTwX>ueSquDQDWUFYkwJCsx]HmiI=OXOgrNac?=hOSUaQYgGr:AroyI:uIOeWa=IlYUEcy@KRgQrlqvlyXBobsQEZ?gK[FZkD>;W;DS:HJ:<jWTo@=JDprcUWEeSxatkmMILs:PMAYsuHqjpPtdWD]Nm`RlhWumpk=qhyrYyXeXsZluYHYChry=j:xmweMZAyDps\\IWx`MVURieY^ptT\\nl]UCAw>@mJ@uHAJsdM]pobiOfYwwTJrtMu=MYXyiTVMmX@xLpijaey>Hny?jYhyWx]Ry\\y`xLvjyU:NabAo\\`wIvaka_QopcFhi_]pxxQ>[pPx:af=O]iW`j?]<xrh_d^GjVxfOv\\;pyZvsd@gGgi\\i[xV_EfjKI^QQcTqcMqbgg^PGfEQ_W@v]PZkVj:HbaYkxIaAhwQvtJFimXb`Yrdom^w_oXtm>pDqmFY@qe@]WrYI:KePIs[IYnUe`oITIufgrEeSmQxL[sgORN?e=me<OGL;BWCcaYDGEifECAiG\\wcBku_QtfaheyEfcYaoi_QfwqGLCEoECmiWcAy<OE<Sv]kfLkvVWfMWr;eSpKiHEYqIH\\eW=ArNgg[QrdqsLQUckUCIULAC__s^aI:=d>EhDAyx=WLGHV?sf[YWCg`WSZIUeKd`UfmQVscwNSgQ[tWCdpMBMyv_=wp_fFOgX=v\\ogW?fwwhDeXGmyeCbnwTJYUU_B<gI\\=w\\qU;sSaCXlSS]qw:Gv:ggTOtC]i?mwcKe?QRYMWi_hj_H<=h[gXPqXVMxAScTUHpaI]cdxGubQUdMEnydpsSeEbjIr]suMqB>oUSsd;IBp;VTofkQVcQeG?vnktnSWwqjjMveTqoEMq`K:@x:aKlIYqepwhj?hn?\\Mplxp<tTUu<En\\mjRLR\\@ofMOj@Jt=TAtjqExNtkOhuc_w[FqjxpkhqSp_xYumxsXxtDYxK>i]NgsijSGk[Il:xZA>]GIxA_exfZKaqCoaIPnbiwyOoywfVi[Ewd\\V[fW^Wpr>WbIHmDFv:`vHHiO>uyAZ<YqjQqrouIqrpNqno`tgpdps\\XcbOlo>lFyarOx:FqpwaXy^yFmHymB`qqFghxc_hcqghyW\\cylcXiIFuha[[_nJ?bHvZXaemf[a`kM>bSNaQVkYYdPaxwP_gw]MOtXyy:vbt>lQFlg?^IX^nGeAvw[`mA^ZFn]SHr@q[QHxxFvg`aUwig@ipWiev_GFpcOeLiwh_nrglDXafIZxWw^>rZymoybS>aIYdw?vuYeyx\\TAiWhxWGfhfw\\>g]ojuNpppyU_\\hnnv>f@H`[pauxbHOgqQknY[YO\\rOhuIbypmhYaU?wFW`UHgFPdNvaroZV^kHp[uV\\:G]qome>gfhghIvJaa;?`NHs]nbg>[r?v<WZDwdwFrLGpIpuj^ahFb<V[YH\\eIdrquGF\\nWocgwhF^qwkCaqi_p\\PoLn^KP[?pk`viWa[WXuR`]Zo`tf]INcxYsMQlIYy<OyrIoavswXmGal^YlEAfaG]:Qvlh_vI\\aHr]I]vvcXfnfHk_ymgQ\\UgispqFyw^Am;H`qIZCG>ox@Gy:sCnIr=GGY[TvwseEwpsDpkuSQdg_vrsTQUcIaxdasbQck_ICyvhSV^cV>svRkRVYH;itPUurCDi_HiysVEuR=sakDoovjMh_udiaDKEuGCBfKxHgT<gwrGVBouSAsMGhAcRg]IIgSNuhtoRcAWPut<KGC_Wh[chKX?cf>;TH;xR=HdYGiACTUEgkBWIw]Yd@Uctsxp=V@eep]treFLKXlkUs[fUCC^UHhCi];tB_HYmd?UWeOihEc_mfdUcqivDqHqMDIGCHgBNKFtsCm_YACeOERJksx=hM=rh;Ya[EXYfjgi@mG[=HC]Y^SSJQF;]FPCg\\YBVuBPABq;uwOg`YtZ=eneWyitPagoeuZ]UdOxvUH=iiKQtUccd;SVmBAUEP]HJYX:wUgiUjoG<[yuGFecUV]ewGvgYvw_GuoHC[f^WHjCUuERpWFqsv:WFo=rfYvVmYnYvVmynEF?;BqquaWH]quaps\\<jUtkmIyKukmIyM=Ow<O=xL@]UrQy]YlqQniuYGQLj`py=jrIxApYTyY:@gPwy:fky^vX?QdqYpYFPs:Apy=JI@mxPpy=jbgdAGfoGayGkyGxiYgyAZX[KD?B:YvXydxeIoyI:cY\\KieOwP[RlwsAuut<JwAxMStVcy^yv?uyuoYhyah^mweIvqoM:tYVapy=Jw]nDEgyAZYn`yfxmyy:^p^ao_Fq\\h^X_\\Xfmsvy:vaaQkmYoGYiMGpQipEavPqnuXggniGnaW>\\sWaTfuZppcO[:pmbghLVchNx>AZAX^SV^KydZxy:fad`qTohYp[\\PyNpdPFhYQagYi^xp?GmA`]S>ZVyb=Njuw[D?lvvs??yUpodQ`cqhmAgtpaSp_gP_wOmUWujIp\\Hci__e`q]VqhoZg>quv`PNr:hdd`pYx\\oxdjToUEiKSdIWkKUQwsnkU^mw`SYd]uZai[QsvSUxAem_Up?X^wt]]UrUg:?ILwRM?sl[RmScqotp?wkAslyr_ACL;VU[V_kk:mxvPvhXs`HWMeuw`UTixNtLIxlJTxwLqndkQ`Ym]O@Msy=jm\\Mu=tAHmrYW\\qms`NRAYYdSUey\\trOItfqo_plcuoDPrfDp:ITBXSiPP=PXV@Q=Eyg=J=\\KEyl>eQlYYk]JXHMpHlVyughmE\\uX]n_yKUqlREm<TPypdWVk:@`l?eT^xUXkEV]@h_kgfeW`Pn_F?leNl?q`P^voG_lyvhputFhGgcqncEGkhXdIOpSwvnOlcgbtxZOXlhY`pN`?YiLFcWFpBo[mFvyU\\ese[BxQGkgiXSfg[cpkDcgSvEDUmR`ESPWUbgFNqb^SGngB:IyA;stqWGySrQsoUIeIyx_dSyU=qdHQIE;I;uGhSUKWEbEVrsT>[eLUYj]s]kwxIFbAXSIU=QHqAxSUE?_I=sSdOrd[WlSe?ABCWEC;QLPYmuSe=yD\\SFDLK@q>ArZhyZYUqhkwywQhvauPWHo;`vk]yImToeKqduRaPuToc]XuYMStW_XSj<MEaL<<P\\@jBeQWEQ`=vjdulAQI@trindhS\\UQgQoXUuFYt>QQ>dOiaPqDN\\UYmYQ:mTLES^ijD`MfYrliLAAnQUo?mncEp<At?qnRuRMlR\\@wLEUOLS:<J<AJ;]U:ppn=vkAR^dYeTspiLY`SjpvSHM_eodajB]S:lv]ykR<L:`Nl=xmPMJ`QTxODlM[XuuavpLtgxWYlmZakFEKFTO>DV`QofIwxiPBeXflsQ<O]@QbankqlhLmFPQVEpSUpVMWqpPKUUVMS<TU;qWLYnthj=aSAqw`MUHAqTik;pM\\eWaHST`L<dWexSP@OSEM]TyBEuNQNgMR;\\u<LOBMtx@WZ=VNykZDWLhYjxsaXUIil^Usv@XIAMPTldLjvDRUPj[lSs=Vl<s>XXLLu<xjAdxeYOYTlXIwlUsVptiuNTQwppwfho_IKTeVkXObLjBIRAPO>aViAN^EjUyVwixadywIry=J]plZhpjhpohqvhaFogi_fLvceFpq_gjGoMHtQNpFHZPX^LhcG?`vobkaZi^]c@^F>hHntPors_x`@rfan[YhXw^[YwIx\\S?yeVrK>uYOwQOxrwn<Op<XaUXqaHmfxwFG^_Ammpqgqn]BhKhs?R:QhKeWtIVQcxYKyAIuy@rQxi>idGnZ[GnboxTqbKPncqxPp\\cPpBV^sXlfWgVhwSncV`xcXpZw^Fh`UhwMFrlwy:NrufhgwhdHeWIeRW\\rOejwk^>t[Vxp@\\UaqsXbXxj`i[GGxsnqqHxIGjqveWI]XNy\\QubQria\\QWZfY\\sxuRfgaxvC@e=Nl^@htov?innqlMheGig]HwkIcs?`XhvPxh@Fe>FgXnvsIauF\\Q>w\\PnwhlighGwaNOqKa`cygnvwm^wLhp=qvMN^fQhyx^L_qaWtxnnE@`u>^rfn:qoiWyuGdyAZYX[y^yCvixQ^Ihwgybxaifvy:>x_vy:>yD`_:Iwj>_:qoi;::::::::::::::::::::::::::::jODsrqWleKthvyLqf<pTAUIaP>`K[aT]tpW<y@`OyuWdyqmEvayY:DjixiBpoQOvggsOyx=hxUIk[Qj[n]CXiT^olw\\^^pa_tINcbx_s_eLohGWl<oumnm^nmiF[T__l?ZBi^PilYvZ`@bB@jwOpcWyvwgyAZ<omYxYAVnyQ]iLOyrcdRVDwX<vp<oYdNkmylDx@LOvtuOhoADk@uK_Yw[\\UdQxhyP@@S_Ayaek:Alr@SI`jhQUBIy[Ij`IoYEPcxUcTwiikmyMrarnyY:\\YXxKxEp@uSUHXyalXhmoqYWyMvqvr`prin\\YU^XYEUOeTmrAVMeXgMRUYWc=SkiNn<tOHjp\\RB<RhIQ^EqePJ:]KqhUb@yhYy=mqMDtidXUyNNavrTp<LWEqVEYM]<krETN=N>TQ@@TR=tHHR<\\UDPupayAQsumy>mqYikmxMrSpyQR=xy=jkMK=yLG<sYDxBIWa@jFtygqKwyY:hvA@pt=v`QpglYdPwThj_ij`xl[ASTXuspmKi[=QZ?WhNNdEA`r^kP`bNwkJx`Mn^pNjFP_?xr?i[Y?crIc[y]NNwjgbuGoXWu^vpjWuDIp^hspI_`PwKayuPkc>rDVZY^qNg]AYsmY[xvy:FlMagkyrwQ[Twhxy[AvYkBc_IyYE^yUr_rnkWtyqC@vy=:kVviWkuvTUdnsyL=UUEWPottoTIUFoahliytCYKgGHSTUmBW?rKUrVWRN?fZedjgflWIWyV@Yi_mDAkeOCdfgFvoDpuHQwH<AC_QVgggSGUR=vvgCuWWr=f[OcLGvEEYxIvDYYxubGYHAgEvgFaIrcgIryI:LKp@y];Xny=:yR>sseSRkWgQkD\\=ugcXS]WoObLstPmuNMt:OxaWSQCB\\ugJ[F]kTuoXK_epYhkqXqScKihQeRSSVjqImsdgKycQuWkg]GCmkeNAE<mtMSxhYfl;DsqWumY[yvYKhtgGXAiyEVEqsy;r;Awy;B]etXQyy<kn@sPtvUAxoiq_TkDALC]qT@nWTnhDrN`wluT]Txb@vqesnMyXdqwpVITwq=OUuR_UXvLrAupCaQKqLhQrP<r><J@IX@YX<lrCxrruLuimI]jaeKIPndisyLXlMKeiyCplDtXhXuVMwpqTKQu_hux<UJqrsdp>@J]XjWpUOApNepkuyippy=JrIkyWpbhnyEQyI:_tIoDMcDp[xaqyMkty;raqxYsY;yI:SItwyngxIIiwyxy@jyhYWHRD@k\\<rOetTLV`uPqTtfLlnplCQX@=l:TPc\\m^uyruTq]uhhNyqm=yMsuwApYHPsheJc`w?\\TTAOGIMc<MKmrbeS:\\lKMMm<R?\\l`aKJEJ?IM]\\P:DT@;::>nnYnnN]:frkynvYkQy]iybyub_BfSsIAikYCeygxocLyXvyFyQvo:_DfS;:KGy?ct_uy;b>yqkuweuyXwawQ^t?_ryL;bAgyieytMO:`xC@whLOUALCmQYhyeyioYrIwY_HKWg_yExmYfyI:YwauycEsVyt=wWwyI:uIVaxy;Bw]vDEwawiISmowYMUlktLaEKOticuNMwdiYKLT<PvPLKb@j^hn\\<JD@o\\<jLLKT=O;@o_PN:TLNPTK=rCLKc@WZ`j\\pLD<JDEob;:::PsHExo`jTxNAdPwlOSlLstofpVqtthMKXmPJuSWDjytvodNBIwa<oVTpdmmahum=y@ayyDXsuXpevm\\wFAvKdx=DwSQuWhpXuNqewsEOvYqLPy`At`MuUYja@sjam=LXm\\sDMx;XVrhlVQtPqQOmXm@TQXXCHXcXqFySZYMPHw>TSexlj`S<hUx<wiyumuqdqwIqUTYPVTJMUsmqOEMJ;yo<xo^lKptRNIWfQSeTN@Lr;xmdPPcxJk@JFDlWejVXtpmu=evy=JFIXEpnhPpfHOZYUn`XPHsK`RpXMPDS;LLrlQxuXj\\NL<PUaQOEXeaXt\\VtPVv=qoIp:TlG@pxySlQVBaWguSyXJAHx:my]LwmiUKyroLx;QC]cjyxPwtQqWiiyjmgEQFl_XHmFgiIEShZ_skaCA_FZMkH]uHdlPuyAQLpEs`yl[aUcaPqATWaUEaLTPyw`RKpP_QLYxqqYkYDVs<M^\\vQMNKYsTEyZdvy=Z\\AtdYrCO]B?x_NscQvYVpExct>r<Q^cYpawmnpou^hs>ooX[egq@gwih`IvjLgeVapxGdTphMavwGmang`YmrFsaf]lfcq_`mwbpPxHvdvyrbNqAHkONbIxZdAb;>j?fuB@ryEjOf\\SIXYVPEFWmHYySV=EAaGJ_HQsTqqD?UvBoVHWD;_uh_BYsW:WVyEdWkBcGy[gtt=eViCogTHgEH;i^yePoTUWsTUsl?dnorF=TtKTSUuLwawyh=xy:vb_vhoFreYc]FwhIlEgvBOt>O\\:GnpX\\d>fZAxkwtOvowIk\\ykta]_xy:Frf_`o^h?OuaWcrItrytofyCPV^nyAZ;myDPvHTyYrNxMrio@xNKxxvyrFUYWxO]yR]auQmxaLky<wlYLyijjHtwIk\\yKtam^xY:DRf]Plqoy=JRTxxtrEAyKAYQipwIk\\;JyMvrYnxuJcxQjUUG`mExQ`amIIpLmYnlyodSyMvr;rI]GI]ty;rJcvakYEGf]Etqai=IEpMyYorIobsyWfs;:YFuY<:]vWsyjmfwo;::VYZy=CA:::Jy;Zsv<:::rI:ZH<:::vK:jB;b\\Gyi:Z=PnrWNvijYEsjYUXHxvRIQ]yQsyLhHpwAwy\\XdmtGxJvAy?ixQtYAEsEMVgtoYypLmmUuqMDSsQJCqMriSFHSvHyEpr[As^@pyo]K?fZofYgyWf^LOeeNZYYdQ@yQxYwbw:MqbYN\\yEewyxthx^:>cXTtEWfSs^=ywwpy=JQcy_VCcufyI:IXmYVysuypxVhLG]yxXyQyieqjYxy:^nChefvy:FxmYfyAZYwauqcDOrUOm\\fduQnWhcYOqdnq_hiewnTWkUHuv?mFGp?aqcX^nokk@nZIhPhfS^aHvn:V\\LgZdP_EPwTPhX_uSIss_\\mWe=_]MIyAPf@OlmNoLvvEFsG@qHAibQ@QYMGdlOyLkHrmgKqU@ohqCyGQXsKX?ktZyFJQIlKxsYWN;t?KCdobsuhO?uogct;sy;bQGXOCXP;y;IYssYVsvNCi`KcraIcoFD<VYHPVaj;=WquVRDqRhxgMm:PlDdnXtN[qOepPOhLDESu]Je`qJyNFMV@]n`\\yjanZ=LHLP;XNHPwhhM\\eQU@ttpmTqTmmNNDwFLl>EX?MNedWaESV`JKTRJTK]<p>lKs]l;tO?aRMPR?MJGUlnTjk<OjYskYq_yrXEYjAygesOulQUt\\xqlDpe=wGhrnQL?ewT<Q]Yn>YQ^yuQ@J;Qy=tu=`MK=xiDTJioOYO>enEUoqaKVtWSaTi<tttVWPSILv:mwdhq@hO`xU:qvnxqqDl?`UpDUhtlm`R_mmkLllHrN\\kFPyFLJG<jXYncUlAeO?Mq^tS>PxdLqw\\sdLS@ER@hrBMYm=RMHvyLQyMojxUWyQOtwxHK]PoaUydXsxaYghVr=Rbmm_@xPimiPUbEOgiWbXu_\\sK`uUQnCivrPSL`LjDMLmkm@tF@Vjil:Yo@pycaybTRyaXxeT]mUiqkbyXTis_pSCXMWPTjIU?]npASEaM?hm@mY;AJ>HVJtKwHxPiPM`rKEm;pyDQpy=JyXOx]LV]KVxPqyS_mrUXyaPxhXZPfkyAZ:WoiVylyq[yBg:rxFv??raAxYiuyflRvghMWyJpqlGty:UoiXylyQ[yRp;ZEHjIIvyPQ<miqGcuAkhPiSy?BeywuOxy;R[yBpo<:Xk;xs[yQt:>wy>pnxgtiZSwiYilyAZDvaj`P:bEIrIGfyMQNIvyLaO?tyGfbwunQ[lxy:vqeB?yURK=jOBQWrYURya@rd;gy?XnyGteRSyQyJyEvb;vD\\UHtyGhyMEYLYXbyRNQMbyY:@PnxG:eR\\UWpoTPOeg?imox@uew_i?_InWCVMx]GITSD<KuCsRn;ttSt:sVZyXi;rGiy@_YGIfrQrTuuJwDvwX_qe>YXRmuX[Sh=fiCYbUSc]vJWrr_uZWf[iwQ;hA=BNKDvguZIXeOFWsidovL_u@iEnUTeuiksIdoxqsxUKho[rnwY>uBSMyJAhHyCaaG@SrqkxegyUcsScuQKevsYe;iZObuKHBSvS?sesHxIUruegAwUIGQkuUAXVuDQIDC]wBkDbOXBSVFIC@wTS=dZ_uWSrSofQYYw;EiQvpqtxUVxobGiwwqJMyQ[AKr=YhaNqlmM@x[MMo`kkUkBuXhLY^UVZdycyN;uYHHJVxp?\\qntqauyWUmRuQpIPv]uvyQGpmiexZaqC@pYeuiQSFtm@aYdhNjyq=mrbQRrYT=iw`AV@iJV`RrTNvpKvMjrMW;dpDYv=uMDhwiaWf`njyX@pQOeyvplpEtg\\MfaVL\\phHW:=Q[lRBAQfQQKTs:yXG\\OYpbKWjbyuOpdYwZv_`r_ZKAyeOrGI]rN\\E>gDXlJH`XhmBw]Lgadg[qVrYO[o@]XXeyn[rQf?oklYcPn^Hi`yELUf\\sGR[bF;xZ;hmkuB;Sn;wXEhvYRbsIdmsrAvmubHqiNYwjyI:;BvyUrWBnmsy;rckry;rjsir]GYQTrYy=Ki@Iw[WGWubAQHMgvrctPMe`gX>yR`aRJaC?SUWmRKsswebLSHQUhTUXZgH__XDCc:UTDMGGQctyTvSyIQIiybxmsDmW?AhTy<:LkLEuE@OnDT?As<Mkb<n<Lkb::::r;EG?wB_=r\\AyImy?WwIwx]yI:GTC;EPyukSvQmtYcIWxukynvY;::ZK?y?_t_qy_vy:vrwxowQidexCDw]TvYcyuSuyutixNyI:_xC?oNmp[LLvqquwYQi[BcryrRvEtN_TXYykxhxyOy[yN`XKXo_xMxmayAZQeyah^[g_GI\\efYKidoYaUfcIgcuXTiWvMReWSbkuSSv]sG]EGPoEWGCeYSqcBhMw:WXgys[oY]yI:GVBawhcHbuWoEciqUi?ds;IhqyLkBicN_iUS]rRqSVaYRYOsHJVApnyY:lJXxnk<ti]WQytKqWhdPgdQfpw`@qmUmDTKH\\UjUSm\\PhmkB=r[lqmiLiHV]\\l;dvPuuEpogiWo]PmuVsaNaUk^Pu?<SqxUyPPi]yh<UR]XY`oy?kag\\KqurodoaqoFvuya]^bwXmCwmHQm@Qvpnk@YwkNc?@e>fi[`c;xrhIxspbOnZ<nxROn:@aiYZrA_roiUwrrplXIwh`hUX]AFqRopHqvNflWGmHxcxNf]_^wIrX@jOGivI`\\I]vv`]Gvcye>wmIOtG>npHcFwqkA`EOh<fnBQuPg`b>`;abZxp]>g;vcmgb:FiPxljqsuWfmGh^NqRoqTpw<Ai^?cVXkROntPlc?n=gj[n`BOfWWqq>_DNb=FjPws[ikticewaQHvUIegfsFIhBIlvNtA_]PyoB>lmN^Phfpo[]ng:?sl>pEvpOAw_@fvvjA?yAGhOfvNQy=HglOrpydcwfgovEQaTycf>\\@qoSFt;GrC`mp@t@ob@^dTFpe?xMIdqHtfawPvu=yggfqoarxHhmQbRhvK`eux^QhpRa[`xuO@q<Opc@]Yod\\hm:haIOg]wiihpyAZi@qy^x\\WtuYd`Fk_^kAQ^fNkkgl[?lk?bW^lZ`l\\IqyhjPP]@hljYw=QuXWocoxEWwWn`XQtr_je@^IN\\BFsF^qJnh^iisovlpy;YfyAZxndyAZqAwKoxUv]sQxqxYygJeFZ[XvGX`KgtosiEfpOXpCe[YHPQthMg@[dbKcnmr_=WsMfE;r:OyTMw\\=c;uuDGvxEr]`ygxY:xwJYNfmpyNsYqywQ[fvZqgbjwm[GpyAZYX_yWynA_ui[I`ys=PN:uXnutClXUxmsQxqxY:tq<ykj@Eh<>pWfuONrwojAqyvgoyAZiAt]`wprv:gr:qgbkwM[GpyI:YX_yWyoI?ue[I@JK=vuLqe`JuikI`IjA=Uf;BPWbuOVrwsjAuy:::QV:uxoicrYVxQbPyI:iHgygxsRW]fwq:ZWh\\o`qfNeRV^FpmC^bDFhoInZv^^hnX^xT>f[?i<HbQFkvW`c>f[p_h?xCwwpI_eheopd;iycIwWQgWvdG?pOi_xhsbPeg`s;wpbf^Khly`qf`nlvmjgb_wi<y\\[yqsuhyI:=XeIyytkPMojQPspLLpwBuVvXs[eYQytNepRiwh]onTMgLtsHnvHqpLMiQPdEO\\@WpUSdyrNlWqxY:\\OHtk><VLHxCTOryO>Quq<k_uTopjjarLEsdqXyeVkUQ^HY;DNQ]kQulGiJ;MO@=SJIjwAviyQ[Y;DI:HTy=kYqjy=jawuxi[iwarixV^t=yufIfrWc:GqJaqZOumHcaXsJ>j[>qxVfVocua\\h?^=@pZi]RQl?Wh<h\\HF`TpyM^quaaj@mnF[FwhyGgQN`fnjw_cwWoIA`Wi]rH\\ZIiyOxUAjk^p^w`Ywy:>[YojyAZaQsiyy:nZqxmvQiIdJsyGyI:wsOyExeCiyI:AIoauNirikhrcyu?RmUUCEIs_Vt?dxQu`mRemxBsUPCsO_FQQD;IeZ[BcwfNUypeFQ[BZUY?UGiAbWigOagDkeVmXeGG`GTtAbl]IcgffAhsGBS_Dksc\\?iGCCZqGMUhvUyuIdZsa_qreyy:n:r_wI>yX=yqaqreuy@xlY\\ytskYiwsssCDxMEEoB]ihHcf`cdgyWSmwPqUQ_imgwvMD;]Ee;fh;bYCuq[H>KDjOh[gCEsy;yuU=wPMecYS=MHGisfUxs_Wl?ff_WFgUQCvH[elcTuIC<QhF]rkuuy;B<Ie[yI:TvoyIivasqAWbvv`yeIisQkYG>:r=yUf_WGgtr_R>GhHyrtYxyxoeqTl\\YAIypYMIyK[`yjpT[MOtxmryxsxsPIMy=kaqjywsG<ykteOcmuV@tnYs?aqm<Pe@xZ`JLXwStvcHL<xtFIl<Llr@s;yNIUKbYsFpUPdpPaLLqknpNkdpeLwYIXfyqe]qYLYsNhenjNyq]=ZcVc^o_\\Ht?g\\]N[bNn:P[bNN::::xJ_\\lX\\l;XK]ySsyLhxqXyKymR_<VRyY:xRFtUSyY:\\xnilyTvIEI:B::N_]@xEHoEayEwy:vkuwetEo<Jtab]PvY_yuOuyAZQqoaxy:^nIgboOdRqjC?xuywYwy:vtGvayAZCO<mtyHXmYVyuepamOhsvoauytyUwvY_HKW_rIykD:YwauycESRUSm]bDuYnWdcYWqcbt[f<K;K;::b>OfPKS:KSc?GZ_:::::gf\\KC:?g\\KS:URCoc\\;RUcbtMCZoXDcHNABX?WaED:gc\\eE?;bpMKcpJ=tRTUTE=SbQjXdPnpXtYYIUp>lKcLNqYVSaRbHsveJfyY:LrsEvyLYFxRyqy^xY:LVeUMVIWM`sOhw]lkCiT\\Ep^lKKIu>HKnll:dl><VLHjAINcqSjyU>ipO]X=yY:hOcUrB=mbAXemVrlwGLtwmKNaOfTm\\iM=Yw<TqtmKEXJThmgDohxxJAuyG[aijy>wiv]wu^yI:Mvbwy>Yh<yEnwtIqYwIsy;r>sdgiWvYCPaHUSeUYV[USLyWnwuqME?oVdidaIiXKsfUDf[gE?HKoXpCigKRAQee]XWQy\\yG>Oi@ebwwf_ig_gewiI:IxIof^IHD;EP_bd;d>IdD;E][Vb[w:=rNku[sWKyq>:jy;::od@wYhIGTgtDqedWDR=FaGD@GduiEA[FF;faIXgkdney<UeM?x<qyCaYUIGN]iI_xh=Ft[EJASvcbQ=sukry;BvwFXady?VvyI:yXdyCxovI=II[ycuY;AyyxUcxqrQ]vYfbXrhPwtggAyjqX[UG]iH^ui`ZQm<Go<a_DA\\BNmVW\\R^[^ijfgj]f\\:pahFbQVjniu\\OyIac<xxNgm[ppphe<ofDP`Kxjk_a@`uv^c;V^i_lYQr@GbBy_JvxHXqxY\\I=jysKsyCwF?yI:;GiyuwOyMwiC_WSkYZCcImSnsgDoyAofxefbsx@kWGKcACCEqGZ[DmWgt?dMATUEB[SSOKT=iwIAxicbQoYMWUEATJMcGcfUCR\\EGquwxwesEYukhHKV_]V\\UTr[UpYt`gGDswJwhHYExYDIMsy;RJkuy;rucxasYMyBvwFXZ:jYRj]yUCXg[HgyR=OEnKiNOUVQea]tNUBw[CeODtUGaSHNiW=wvZ=vvUElQg@Ic]YiEsuNeEcOe`sbOgurgt_OtfmgZkimGe`kcI]x[Ad@mYXQVVCb?qR^=vBEIEwTBYi@yHvw>:rI::Nc]yrtidPXldXgT_nMOecq`tvopAgs`bsWkjhfChuKxdlO_FQevVxqYbnGfQwl?I`Uhy@v\\Myogfwoymx>aXqvpNkRovG`a?ik\\X^jguT^cUqk:Nx:Qw\\Yk>ia[ya[aA:JTxQ[aqjyNwij]yix_nyerQubsB]cYcIXiiB\\qukisy`Z?Dtx;R\\tiI=:aRQGSIKykuw?:M::::ZM::R<::CgIsCvI?vQf`LYvXAlnQnky[rOvvhb\\yy:n[dQaUGuSOwcg_>Qp>?o<x`Sna\\OyhH_px]kYvJfamw_xqKiGiIuy;bBUykqYnyI:KIkSw@NxEXwiZcPeTQZwhxsviCxikywewYwdhyfy]VIVcyu]q=BwnoTXeLFsxv]wsy;bx=ycFWhnYlYxjeyVyIgsxoAxU<Jy]un>ZtAcOPtIyy:v]pjsyY:LUlg^sPn_vetH_NituQnePgKqeIinWYr`hu_fnmAreigu>nookFg]f`djAbrnsjG`Qi`ZVe\\`qgayq?oIagTipP@mxacCg[=@eBO[vPqNpsq^bgxpk?\\?X_?xZsWh<away`<yqOVeOoqNq_`np@Xa>Nt`iq:Wxd^ogfgSN\\G@ysilYYnYNq:VvL@ZANoLytTHgYX\\of]:Wc^naL>quY`>WweW_VAkPYeBPr@xkm?ZH^eOHZqF`rFy;_aiwb\\YqmHvrf`pVtgwy:^pa^t]VtPWuga_]VcCh^KFj]^\\I>]?nq_G_vXf[`ZLFZPItVwb@`iM_oeoeofpkXiEW_goagnalYcnHcEAcqA`XgiKhlEw^tiqDIeIOsAyajv]pGnyW\\dqxQPdcw\\FxqdOt`?qw`thQuOnks^`balDqkln`c>llvbQI__QsSYaR>ZHnxDPxwY`\\qgc@oYgs^x]GfiPPyBv^T`vCQhJGbT>bMpZDFsLhrYowJHabFiL?cCqtxp_YYucIdR`x;yZW`ZIwgtWt`FuXv`:`ueX`dprrvhFokK>pBoe:q]GibsgfiargohUirqO]l>wevhvWqfOl@ItXaduQdwXrvHj<IiGx]MP\\:p`j?r^Yf`vpnx_TnudOmHimhOufnhpwdjHnLVsr_oeY`AovRnq:WfhVnYVqXa]i`sNnkbWZnhadFaW_lbnkwnwhIpdpl:YsjVZYpr^h]macigxpyqoyxAnyFPe:fpwYmfxiIimypy?vipa`Gv`QW^\\nsVyy:VuQmkpo[lSQHqAEVXYUjy_ogwQ_cmPpyPqEWmUgeQfcrPl`IvXYeuHkhig>qsWGkTa\\L>u:qw@>ZYOmhwZOgyUXoyAZIimy<xqmdpiIynypy=j:yoxqRc<yIaRxinOyOoUMwyT=QTcApUqRGajRAmsuNp=j;TVJAyaMjeeSvhN\\eupmWeDmY]rQTtP`TnEu`QxiaK:ESkapKtsNDu=DslAQY=wlDpWdjRyv=<MI@uxiSP;Z`WwYVxaygyA:RWMclARuQd\\sDj_uimhhIHymypyI:;yOyI:XNuupRyY:tMuxY:\\yDxY:\\weQO?Am]<MHxTuupR;:]Xyq>:eSo?u_crV=blyeSQA:xkfeE:yaWodbfrV>rl;:j]::roid\\]sKvnpqG:ZK=:brSVNSx;MSyqFe:bQcehgghqtXkg>gCXoHKMcEsY[;S>[xYouhssOicrWVGQeQ]eyUvEwy[uRGQSZIThEGccRg;dNgXwKBWUgEAYNuVPAWZAT?]TlCCZ;rwCSZkIo;BXkH]YV<kD=gYU[e:wChCv]cXoyC\\sFxgCyoE`yCw?gDWIcehBMDcsDrIFBwI;eHUWwJqW_WvKIU]yGtctnyI:[iXyCxEx@suUyI:?dcyvyHrbyY:TVOxsAmu^lTgdP[ExgeOGIv^HUTIKhqmDquXIV[YqV`PQDPBaQ=qJN=MkdL]`WSuqn]KIiLvIvTTuFITUxsDDshxoidNHpMk]LB@nNIVnXVQ<mO]Lu`YaUMj@RVerHhYAtwmxnUUvy=JtelnxY:\\yXx[\\gkxx`yAZ[XdIwY=HryI:AYGuVT]iIwyTqyHMEGQEH]hUwxk]D_yHy]gMaGiqBNSIrasBcbFmyXIhlwSVgweku]?yDKexsh`cd`WuwOr_[blEuDqbpSgUii>qWUChSySEGfnmUEwBLaY;QSxwURIuq_yAawkyBwMStyI:lmINFwFHyI:=wLWty;RjKyy;rreBmKyimRGusNgdH]CvOhpwddssfivhoHfCHBard;VnEI`GGXqhZOdAcTfkbXiwkUcNub=YrCWD>cco]VlEBwaVB_RLobjii<EX_?E@iTSCSYgXR[vb=wWqxvWrOyhvus<Ie]yCt_tnyGvouIBI]uy;bJgVayI:A>GxDaFowSEQiowUEkgnadKQtpEhBOxHQrOMuRiSBwfK[FLaBmCevcD=Crx;XvYf`pjADxhTxLmtn<s^@t]YplhQCTJEiodYp^`w?\\S==vc<QFhm?`R?ls<EL<ywqlVPhYyQN[uuUHjIajn=vy\\Wtxqrer_hjx=NoEundOY]SGqQkiw?MSftx<Ev^tkpMR=eJVAL>]kKputxSg=ukUsaQk_epslly=jB@lDeqHdjZxiMHhMAwni^u``boknP]?nZ^@t_po>wfMa^;pfPXZ]^r<@ekhqmN^GVsJpbAGDGtK;CwQgiuBxqubKiauraItPugKkYM;ehAUQuDmUgHohdcBLcfdKg<;Ga;eVMtCIc`YWdyuk[wy;be[yYKIsWwsmbbqTBeUHQrMIrPsDtwEAgwoStOie`=S\\Ag_cBpWFlkF:MWlkHLGtBySXcry;B<UW=QCKgvEibToXyEHk_u`qwXqEL]B?WGl?eqyQUtqsakL<Sl=ppdlR<s^xW:dJ:HJJ]tFHng@WTpSs\\vfhPGpqTqYRAQJdrjIJQAXb=xuMXyQQUxsMaonTWb`Wfho]pppDJpeRNXSoDLw=JWPOO]l;prcmm;PJ=QtNqoQaRx`NLXQmAXImWiELKlM`mth`oBlOWMrdTNmDP?okcfkjQw=AsLn_qho`xopyntXlPGe\\w\\LWa>AlpHv_IyROx\\hkr^kj?joIswfoNFZAGcLa`gY_HWpMaxuad<Pu@A[giwJhfv@qKQbdPjl?h:vrTGrMaqKvga@yUOdJioohqSwinpgaGqPXxjfi[Pec_[L@Zvgo^p\\aWyDAcF>b]VZWffNFZEHvYo[UAwXn]lHt?gvXYnO^l\\?__gqbNx>>d<FodNor>ZFVvvNhCovl`xyOZcQyY?kigh@atoWasqoi_fxpkUFqKGnppm>G\\mprdXk=hv:@jkPfQ>^]WhPVwbX^nFZ=YsZidvHtohgHfgXOxPQtaeyexg_FmOwMaR@_BrQwFQw:qIvSIFGr?Ouv?fMCfqsBhUuMAxfsdtahQExbqr\\YfFEyOYha=yr]sBacBOWu]rlkcDcBSkvm[I^oEVOW<;S:wFger;KG?;R^sFdkSkoCZ[CFKCb?b\\KCb?:Hr\\XjL=Jk\\Y`yq\\qmrtYtyQwAmODj[uYXDPwivyWn^hoyAZTviBiqkoY::bdWfjOiVyI:_ryHXiYWyqeyfy\\Nib>yQxYwbwyWwQYdyqnIkbqOdTuJDSxtmwC:eyjxiLeeg^suyxDIosx_xhxyAZwunyQtAsOPtIuYYl`eyvyUTMHP^bDCW_T^]FLyGWadd;tceecMuggt?gs?oSWCgoifMYXVSB^QwKQSFsHmOYJSRLCysMGsaYOyLYyKvlyU=WtTtaLmaLUgYnAAmu<JfYViayiySuyVXlSoEWbUJc\\ywHvoQM`iVJaXkhoOAqo<qy_fF``JAjNnbAa]Z@d@Ntk?j@>`d^hLa`>HtHPkTheLHw@X`S^pPFw^agvfllIxFxfqPcwhBctfaHwLL<aOfeog]JJhYXDNFPOx\\u:qwlut=hJBujbUvvhX?asj`RqtSnINBpsbIpvDn@mXO]OOYXVQJh=RvhkGqk`hn^<nFTQItKbmpEpP=YRMao:iK]LJU\\rIIlxPxv=NjYyH`xY@xG<yn]untr:QtvltKHoM`wKlW[<jNuvYPRZHJb=j=\\kPePNHjHlyR@xNMmy=JpYXrUXBUW]PM@iwG]KxqU?QV[qX]=mH`S:aXEYLhaw`xK^pNapm`LmOQkYerBDJhpTSaJe<lR<UU@j?tr?msddYN@jX\\q\\YNR<svxPGhTXIQL@r_<pHtt>`kuQv_PN:topdQrmryTp\\xY:@ripy<YPvEQfluXDTg]Xgun>qkXQRLE`]v`iq^>y]owhtnl:a]:vc:>ZrNZWHcD?rbwiigeHPmVwari\\yEpgdS<WoTTbyWn<o^Uy_fq>X[PAbmpopGqDVnpG[HY]]>ar>sRfiNNh;hioWw:AZxasExktYiyAZfI_ywpiyabI]Qny?vIxs\\lKJ]@wxY[hFYCyOrylXntyimuy=JJMpi\\yDxIgXYcbV@txyuvxY:<N^yUrily=jRItwuqsuy:Asy<xexi]GenIdDqZApxwyvwYZ\\vy:>ripy@ykgYyIQy@fB@BUvS]xKKc@yrpiyacI=QvyDjYiYGxmUyH:xC:Zy=:ry\\G::jRetEXweXkeAwaOqU?k\\af:Vcyh^SxcqybVNdKgb:hZg^\\MWZafrtiiHIo[YsUY[GwmbglJwrwppchfK`e<Vi=vpSfwTXsQhdka_MHc[>xHhnPPfAy\\P?eCIar^ssyy:fa?fh`Nln`ksqd>QctfumfjOi_hhxUWmegmIGvMyuIOgqWeCQhnGyTn\\BIa<WtW^q:@iAA^X^tMPeVgsqg_NyqG^sqP\\CqvC_^=pcgV^<>q`wgu^^vIkyAZvwk;ge_i\\XwtBIa_^yAa:iU<EC]]FykCRoiVSUf=Uywf@mXYAcIiEluS[wtTUHYsXcMHvGEbiX>QCC_u`QVAOHecDfIrmKH;?g>qSu_TXero]xKegvWrKsykIRRIeIwVjcwy;b[UiTeTP=tZqiHac[WXr_YmGxWsb]ITEwFgYHumHIyxHwY?oV@geKGVMogWUYfWGkyrtogDCY:kxRerq]xKe?sxviinQXtIXMaVrOVG]F]CTUOXtwXP=tCkv?YuaSvUESfOYL;IoMY;_iT[cTMDv_IKwgZ]B;id<oHXgFHIFKgt>CyEISsIb:qg`KcwwWJKxxsvegy_MvYKYNcxy;BvWslyI:_fDWx[WReeeewSeMWTUxcIX?MFgWVDGU\\CY^oVS[fgAcS[tbKu:sFswvD=GcdlUUOREqWdx\\Uj;=noANPirXeVwYSxiqAdyqYJyuR_tx\\<QWYSxkpYJyuBag\\aTpQBdcgNWubeUKGXEcr`KWqEDjoTDiSNow\\;Fg_dUv\\;>g^hu@OwhNZKIcthkNae?NnMhhU>orX[?o^dy`K?hPNkG_thOnZi_Afn`NwCNnZYfrWtxibeykqYnyUnMFPgrA]yriboyTyuRCYEXSxy;RkqSVwIwF@GrjwII?gA_yy;BtMiDAIvQVdVCxrwxOwQYdCwMFtAoiliTyYihexi^xc?gHjwyhyAZQi[yvy:FCoWP<jkUx]uiyoxVTmseIqqygXxiL]y[y=FfgR>OkbuNMguNNwJP;?GZOBDCGbEbbOFD;bbO>JBMYLiXbIKIMS:dXNdwy=JhyP_qrQorvE:?W]YWyBpyI:s`:P[b>uy=U>>::oxyJ:;R]YVyG`:jAqI\\GBZ:fKJ::>UJ:;b`qx_KwBOYF;d=?w`oHaKgu_CdSxImhNyU_cs`kh:OvWevEsivafykIGmeFyI:YXDysuAvKQCuQceAITIWX_sy:HsUlYsICDQYAVvXyGPnW`vGuyv`ny=JxdK@HmyxvNx=hl?XVVewNlqNyumMsIYyZIT_YSy]q^yIoFYYGfpM\\EtEevEuIJX`tyXX@ysuavKQSuij]]UDEovEoy=ZSvaiYlAgliRvafymIG_eib>[vnCfNcI>KxMGwnUxF]y;MiNWy[cuNgH[Uvcosj;c]aDC=TAiFVgtvaD;WFxusdcTtwxEtYOhQS`mnQtAtYQHuTyMvQynyY:plJyY:@wNuoitlIIX]@YyTUYELrQvoqLtekttvNQMPIshhw_ejiTpw\\qr=KC<l:]RsARQLoIPs?=kPiUKlKqxvjpoUPvmymrIofxQj]ty@Yt`TM]qTUv]dRPdqy=Jb]ly@ytLXguw<iTUErRqrAXOvtvIitMUrkioV\\ofqoXIXUtsZ=n`iTPhMUluGMJjPjL<q\\hqLiYhirG@RmLKh`yqPXq`xYYJqpqSix_ps=ElRxUSmuhxY:Hn\\xRyej=yiQ^cxiskIgcQvuW^Hy[vQcAxY@OxqmqdkxDsmuyCxKSaqlYW^EYUHPq`MayWxXoT@YX`Oh\\qaUN;qn?hovDXRdNGqSIysr<QrIRYlMNqk:tRELLmXOkxUWeWYlq@YRXHrBqkaTyqhry\\xmHuK`kaUY^XVywbpygEXpyAZ]f`YpyD:wtVMWToSqyG\\sWVuUrUeG[itihoieNUCwoXNGfsWHU?T^IH=CIukg]EdK[E?EiG;fWgFjovl=xGwxBkyXgs];eKCV^Ouy;BTgwhQtLuWFYW_AuK_RlWefCc\\wHVOrL_VP?EE[SQkDASYH]BtyRpwWEyrvaSpAyoqICyUvcUAiSkAgyGu\\wbXAeLyByuTVibaib^YyrsvOgbGafPETSEGpqct_vpsDG_G@Gw`cUFsHFkXkAIT_XMSHP=guAdRYh[UuusUJAGXyxjUxV?I?gfseY]gvbKWtii?YCCGE<erQSh]ks<?YK]FVCWFeD:EIVMdmAX^urWgyU@uBExoHmy=Jr@ty=j\\=WTxWEHxY<yCawy<HfvTwy:Vj^Htog_EFcnXtoigQOel@xOiwhXmdxbighjNjgynA`wfwxi>q`>rlXls@jE^q?N[[Y]JqfLxirQepGpYgsd>[vQagAgQGoRPs?FrFXfaAfeH[@q[Vqo:^ulWhj`v@wnpyhEXhI@yC_wmyy:>fKxy:bnWw_?yryI:aSK[vIgi<yBy`q\\utKitilYAXwQmmZ`TvTr`dqW@JL@Qodqo\\W>xTB@uTAk;LKyHPTiTA<NP`Kr=mJUyIhpUav@EqVXvYdoVLXH\\rmyQSmE:j]TyehrY]XnDuy=jZ=oy=JkiXMQVFPtpMLYLnsxmfuOQxY:@TKYvy=j<HnyWk]XyafrYaxn>eyErKwYVt\\_kKgw^^]BpvyOpvgey=ZQjahrY]hkxY=@Z]PuBGaK^syAZ^?yupy@XkY^yOv[xu]SyeirY[xnEuy;bZ=wy;RkiXMOF<Aga=DlWvBChPyU\\=cnCg^iyQcWhiWPAsv?SQkcKkTXQFjUusyR_Es[sYXCTYEyy@WcUoy_kAayMwtYvwAwy:VnLCEysrGxESwioiHOTTuh:gtSYSvYcyuSuyutixNyI:_xC?w]MvY]qo>ZXOqYT^uS?axL?UPIsjYYiyuylOTxY:pYLdnnYlywku@ZtVmZxZwYyLHqyxjYQItYVC:oILefnsD=uHPyI:iHlyI:]hViDIiGGEDTeU]_sLQrTchiMVeWgUgdoMb;]ECGwJ[RJIPoivtqKoLvUUuRuogao^<q?AQtDUT@ku=S]@JshMr`kwXYQuoa`jhYm>ypQEtX]OPusNtTPEXJ@SAHTTTnFTL[qXkDJ@lRVLl_=lG<Q@]mXhljyo>mxQIPVaOT]WjYUIiMNqp<twjUX]@yWtLeLkdHY`hLE]J^PJsxkjdVVuKfImiquP`qJ\\yuDxWxtCXvPexShwFxKbDSpqLU=tbQtBipM]SSUPCtxf`ObLRv\\uAEsZErQYNjyR?dPWXMueYXTOW`QdAKcakpYtvLPiiwsAmW<OjUK@HjEMSsljPUV:hm?hx_?_LYcsPtONlNgjE^fQHlHh\\:_]Lxc[Wua>jCF]qoud>xoqkjPyGou`@lXyb_IkKNnJ`n@GbNxuZvegN`BFa`?wAgokOeAWrehlrPtahqMa`BW\\I_tnWwYXp>oudWaUgrtfsogmD`ZLIm]?s@yinO`aY[GhgeGrqv\\Xa^NipII`_Ggh_w^NkPYeSqlTqvRNfC^_M_ryXqf?vO`_hHZBvc=fg:nhQwlPptLXeAWhlNrqY`E@g=OjENsO?maVbHatmwY=RIOIjuSYWvDGHUwc?QEnkedQxOkg@UdnqdqScvmrCECccV@iSQKcv_weMV??vfqgZkfF_VJYrnwG@QeGwe?kwnCg[_hyGe_GBSmGoAtk_UvQWdkWSgcyktSWS<mtB]F\\sT@_C>OGhwbkaEN=TXQUGUYksvNCw^oHuacbyq_qMjQS@@QdurrlS:YowiVIim\\uuDLwTpmMXNUioXhLchyDLdEwfoW`fpZAgkLVa?P`CF[bOkxhuYq`^vajFaDAwx_ZUge]frThgVAtiyt\\Ac_wq<H`aYsxIjOVqDAvoAlBq^MPls_iMPlcGjspnrYo=QqOPsT?udAxI_aLHyK?nQWd]^gqOshGdsp`@avtfvHWt<XgfwfwV_ExqJi`IH\\YAgk>yY`cKyim``eHxf>t=Wh^NndI`i_avGoOGZCFlyNhUqjqng`?wrgcQGvQ_ki^_[yZLGpeGtaX]snoGVvc@iTQtB_c^Fy_?sLN`xhw[AcAqw=I_p?ZqQZI^cTNjrOtPOjcnZ^YiRhdA@ohVnYFlix]rIk[Y[UY`cXecQiUOgPv`pytJFgpHd;ghdNeHoxJI^th_TvMydFmSHSScswwGUVqIjqhy=BvGTd;GxaxxGexXlG=qUpVu=v`YmFeMSTnk\\O=MJZlp<LTBAPs@r;<PM<VuYLruY@itBYt\\ys]myoHrbmml<xp`opeo@xKctReEXFTlo`UpMPA]JE@QFmqeqLsyp<\\N^uyL`vFHXdMl^mN@XxnuoU<xyXRyTlipJg`PwmSEewtPSqIsMeOoTWc@NYaXGTwDpREaMcTnAiPDiX;EnUIPc=noMygyx=dXGdtnTWe=TTETmTRmpReaK\\mnOAl@av[=XU]MyixB<v`im[YUI=keQtB\\wf<saYKgElC<nraYruxgUX]`n[uTqEmYluMItN`MUty;xUX=YMxsjiw_aRpxLtaR@=MoTmpIRPplDAsKewuTLvMtt@vlqoZ`Y;atphyxtKj]QkEVyywahn@hL^DWMopOO[>nnawpvO^iNynhkgOrmakP@r:>_fBesuI?WuICu]bYywrsDWwgC[iEWcNGhlueMkuEWha=cfiWXwTTCfJGU>_y:EvJ_FjAiZmSkKExQSrwX]=yHugJAiMqebiYt_gNAeZ_sbCCskbbGtmuSlExVovG?XeItjav`uv;CxVYTEugxsHpEhd=g`KsnSiRmX_gIUGeR_sp=V@?xsISC;VEYF@ke:UdvoXPsdQoTxUBCidGgifcsNKDfqr]Ec=GTtsC^Cup=FjsssOFucS]Ysjoi_uvUyuTEu@=xV_RmaB>;H_eE=sw>IH;idaIwjUrNATnwrkYtiwyn_gfOvPQwP]E:QTdWi]sfo=t<aG\\?H?UUqWFuCureStwu=aGhaHiQCckXQGslQvTkRBeVJKH=]gd]NxIRZhjy=J>Ty@yY:tmBtqYwbvY^Ty`vAy?OyyAZGPg`_kJqZY_y]NU:xKryRnxwsAxEhXyQmNesS<^y?xI<BGyejusbyumCvQYGxghcKUm;RSyI:?XIA?RnyI:K::oT`AGGXsy=J>:Jfdy`QrLUrNEjf=VRYrU=SREov@lCyK`uytTWm`uaMkI\\YGewywtndxcBW[H?YrJkda]Bvyw[sYLEuXOwTggJoIuOyW[w;_VPGBl?IhkUn;B;;B:]tkWwTSEweS[;ypyI:_WtiRFMf:yVuuTKYvIcyxesTcbpguFyFkQfpyxZwEAKepcMwUrCipqDJBXmE`s>EPrPkd\\oSAMXPJ:HSfMOixKrYs[qPu<Vi`XGqNT=yEAmIeStPprPwflO=IO^]MjtJ>pM>PmIdRqyoc@WlTUAij_`W<`RKHnXLVBEjd@R_ivIxvCxrjQqlqNrdMEYrkingiJmqq]tNGiXbHWMHW>lUYaQITwKDL^QtL]neyvqtUJqx`<TQYqpimImLbqycEWtxQ<lYWPWT]xTij@TLaUXemOFQXAaOu<U<`TouWJyR[utyDVV=yUpY:<pywqLxikid]qxXI[OydFOqoPlWv]aQkNGmZgqnOaCXi[P`SFe]P_``^FNkSffIouj>[]xoJOyenubqmJVtogbMan=@cyXyOgvnPdB?plHiQ>[KvdtT__s[MR[;CD[d>WVPmy[qGseu_wX<kyWAUGcwWoUMCWEeeHqHjoRLaECSV<ObIWEcQsA?heFqjI_Sny;ypAiynWL;b\\YW?aGvWrfIB]SUwQwZAWQExUKwKeeBMXHGSPgdOyCTAblECPQCAGRTkR?IX`aISqcL[i=IwR=ylUgIAUTKWmAsPmiZIYNsx__eKsRGQXDiWFIbR;X_gVHkVZAfC?dfWWPmQWiqSlQV<YRxMsylZyY:xQLxY:DXOmSY\\JvYQYHtsXtZItfavsdPNIW]Eu_\\suERdHkW=JBIMA]UJ<Y>XLCAY]Psv`TndqHHtg`PG<TRYUCaLpuLmQQUYQvPSE<OlDKCDPOdNqQJYIQ=mkluUG<ypUvAUTvTTiqLe\\jQQyW]ojtYd]RRpsLiN<XuS`uI@mq\\MXHTmYLHux^MMsxN`qmc=uE=vy=JADXdqPTaXThrThUWaNLTrKLlWqsk\\LHxrGYUFuuI]qd@VryWZMtkiY;ljy=jeanY\\YOEyZ=x\\mUCaWQMqQtjnUSbaOiMVPpTqdKfdsvDl>EpFYSk@lWHXP<QXQK]hMFiLQp]:>jvwbuGoEVoGPdLIc`>ePqy]gi\\fqLqj?@jDAnJ`\\lAkCIl;`^l>kk`pVVlmy[noxIAyPoy?vy:>n>v]qQxIoydVlxi\\yHjy>w;vgyAZyK:Vo>aq]GnYWudw\\toiYhn?gigwhcN]>?`;A`APcEhwD>y@_dlQnl>ZDQsSw\\bgZvhruvbU?xAAbv@xhxocpuWouCpm_aaq`mXG]GVusgjvpx;O]g_gkWxnxomYfxW`MPlXGfhimsAyk?v[Wt;wpaykoQpyAZkidQ@vlYv>G`CW^Di_iy_gVnaGaio_eFo\\?bIOhO^\\aOunpskXlxiqkGexw[sNta>^aQa`Pn;gxyAZHomd@dkgkSQ_VQs@qj_xYwrjwyh=ty;rb_th[v\\sFreeeybNyI:YVRyqh@xyGtCieBao_OpnNwUvdJIdnXfR^\\n`dF@g?wZ[vb_qb?Yv;hrtNk:ng?axNVqQ?tLGt:G[nPiL_gV_hNNwbFZpvkDgkg@nccWGvBOsDOSh=ThAtR[u;KgmGRY[eDoDD?RDUIbwvIWCTAU^_SeeGn]B^=t;yfJ=bA?Ic;b=cFg[T:ED?[T::FbcibAfn:NfrYtxutY^yUnMNExkrIHylHP\\rYtx=::JdtqBPqVxq>yaiuyt?faN^Ivkuwet]:^xC@whPoU?\\CqaYfieyy:Ny[uy`XKXo_x]vsy;roYpcEsVwJoM:tIyI:oILefnYP:xKUfxmyy:^p^qosogbGkQowDPe?Wy\\hmB_Z_PnD@ZbNnD@ZDG_bOn:i^g^\\JGZCWc??Z[>ZpqnGO]FWm_>ddIhJxb[xsmIob>nDvu\\gpyAZYhhvysrItpY_IGyqyeFyYUVP?GZQSYOvnwYYixvysrIDpUwIIYqyuFwYGGe\\;RegyDY<jIDPTyY:xCftT@_<vpRiOZnvq\\gP:dRNDjY]wPyqmERyYPx]pwQkQmYryO`yIkdb;vDui\\ihykuEGyYGx]]gPyqaQJxyF:::::::::Zc?tUIrFVm\\IkOGpF`kaq]VPmTPk:ncOIksGvWO]dQwEOlqpxiY_Q>lTOgmVu]H`dirK?rVqcC>aoioDI_c@afy^NvxsvurYbnxisAyQyqjYiqwYIHDyQ<ym]xY:xs@Yqy=j=XsylYsdUOdlxmtwiRCqMAiQy=kxyKyuqTxWxukhxY:@Y_ymjujbyiaYvWwy:Fr_yuyAZVno@PkXOtWgrCq]AiayAZBnhIxy:vaTvwxy[hvy:>y_y]jyjbwy:VxkqoyAZZQxiyYWvOATKwbnutj_VIW>UyAwyXQycQieuty@IxjbyIgwgyI:AvhygymSQUB?qULiuACsXsrwsYBoyIsiwgxy;BviuWyI:I@C>tSgyWyuJqyY:\\in_`Kgw_^usV^RyvyGvIrvyvHqty@vhywy=JHPty=J<;XXyuJq;:ri=I>_x;MTwSh]yEsmsWyI:IxDGel_ho?hkQsDkb>whqerpobEWd;_ULIc^MDC_fX_VMkDcuSDOdMqT]EdBgWcyQIHF=xy;rb_vhSwoEBeQHAorXYxFSWVIDCWDuIX:cdLCv^cY?iwy`jYMrY]xjHwYyXraTCqPnhlfqSE\\p`IqI=yG]y]tY=qkWtyy=J?Fvq>xIhyFNaqgyxi\\pvlZovWosI```GqIAyG_y]vYAd=uvy;rYEvA[y`:jPtlZmvWqSI\\p`IA:Zy::cbPutZmvWoCI]h`IyI=yG:rY?xU=yAoI@cuuqIyKCgqw;_cucUXAWGWxY?xU:ry;jiwanA`cyuqAyKGgpo[__ubYx@WgVxYC>:xY:`:yEt==DTcmXHhvVAWmwtsvy:F;:VnxY\\y?[yAZJYraxiYIv?gnRIaQXh]hsSnomoyM::IDyGcy]ry;RbIfMyqYWkE?pmo_aybTX`Vwvvq>:jA]y`:Z?p\\Q@f`=aBQIA::f^yuJ:sbfSIAVg@yilq_Vyiwx]xikD?rjxy:vkRbfyI:KYtOsM_BXYwjof[eVCuf_ewR]UVQckAS]ES;kVxQFjeRAIFymEKuSsyI:]hneTCCU<uHayGkyGxiYgyI:YWQxY:\\NIeRYP\\:vrwxowQIyexCDwiTMUS\\CuaYbixiwAhMMtAsOPdxqafwieyvyAZcGsVwt=yWyM:l_yAZwa^DGwawy:vkUx]tIyyAZTQhPO\\VItLvoWa\\dQgwItEOd<FtCgb:f_N^lJOZKIC::Gvbmfpes@AeFqcH?GdkSl?E?_UYUH:QTKqCuouguy:YbyCrKwIGywRexiKI@yMKxmrETjEM?yQfQyqdY=xKx]jAmYnhYIpty?b=yy:FjKvy:fkQFZNXdxyrexiJA`yErCtYAyKPyq:BhSbbyfwusPwYZIvyDjKxiTnaAYO:fb:ifNvy:Fpdyuna[y>yKv]rITusP:JQHJNXtxyRexY:<tjxY:<V>yY:TvAAUoyG:[U@EtISiXi?ZwwkP;:hR:evNxY:HpdyEZ]`wtwP:lO=HOoxoReH:gxKKVWmCgET[WEwMI]iiE]wpADAKVmasfEr<wv\\iXHsCVMudiGSGcnshnEGeYRuye>wbaIBiyqZQsY]YcyY:hPvhSyMroxWx]kgyiGXe_``Aop=x`b`oYfwYW\\y?tGXiyAZ=X]yGx]XyQ_rYax]neyAZZqrYayboxMoygpy[gw[gyY_yGPwevZuyd>=:tydAyUpY>XwY]yRXuy=JGpMHyY:hty\\sw\\oyXoyW^tOk;qyOIX:b@Wrd?iUwh;uwy;RjUvgkYnSysuyPsyjoxjoyimy@chOIbwYg\\yCtEDiyI:=X_iGx]XyQgrYfx]rUyCvIUUwIGqUHyI:gty;BFgIfwyewiKuY?=VyQ?jlpPyMmydPvITyMrgxfSVeygkXnsygty`sw^oyVoyAZKxq??fyOgr=:ybpwGDyI:=g?ayy;b;gtqAyKawaeyUay=Qu=Oyy;BsYUnktAohi::TyQ;<ZWxprEu:JGdmoeNGmoQMj?lMOAWD`RH=lBMr>QRP@ngIS]=qrlSjIWXIkkisHxP]dM=iTLqjFTvEUKRAwWltkmXs`TlHSsxliPs:mOlPkk=l;]oedwXqyZyr^LWThs`eJmYyIPPFyV@xY:DM^MrBqr[eLAlXRvr`XhJAymGvhIm\\@ytgiOfpWVcKGinhrLqqSQh]O\\_Pn[^bCPb\\>nDF]Hph^QlCgs??crhnkorKombhlvvgZXucOmonrkXgwfjXIpfwfoXpEGahfnv?_\\Wk^Yn@fifX]bwvS>a:a^eGgtipoxtCh`wN[EGZ?frN@dHin<@pTH]=GZZ>rZygCW\\A^m[@a;aZmYr;Q]OhuQpja>qki^Pylc@wPhg@fwp>]XG_EO^]^]IW]Vhg;GwYYuUNmXwkow]Fhxgoi`AgSogghgfhw]@kYnlb^kHXcaAyFXlCWtGHnrosC_sex\\ogqI_bKi_?nvkxh[Gff_e@g^rP_E@qaYZavqANxc`gh^`wQbDY]eqZnHqpHm=wrf>i_ghoyZWF_tpwApneotEvfdXuSHvQO\\?VxSn[ZA[A>_;wwP_huY[GW`IojHqsin_B>\\^NgS?m:haCa^xq^:HpCypDpuYQeNapuywGFcBnpkPmtYZVFlDQx?G\\;Q`\\vkVywsNxlqcjioqQcJH][yaSFedou:vl@QaGpnWXf]_]i>hGgqTqu;N\\ZnfCabY>asNd:P\\BvwTpiQ@vc_gogcL?yrWqYGlow]v^qSGjD^aFhnYOi@g]T@`[X\\m?\\eprGN^ri]SV^Egq`OxvIcdxrdPgL_e=A]uGw\\`bBWb>N[BXo_QbjWoCIkIwZ^Fj\\gvPHqvnm[NtnWiYy[g`lTpkIp^Zhr`hkTI[]?iP>cS^dZGlayoHI[AvZRQmxgZkqnQXvUVkcapr_xCaxBA`[nmu>sXqf^akCAZS>kVN\\q^]K`TKx?YEYaSIyX]SEI[di?Co=gG[VLWe_MT=mW[AW^AWTAr>mr^GYFGdVkR>AF]CeoUtcAx`qUAwcsgxjuDoAWTcSrEgpKTrQBPmdUErbKFduTmWf^lO;AjWTRd@rkHM\\yqC@XcMqPimfxN@pyKmnXaUXmRatpKqR@UOouXlLnOXSiAS^QOV`M?xm?IlQIwTpYUxY:PvetoIdrgqp\\QUHYqaTxgluvXOLtlh]vDXVHDuS<JstJ>dTWYV;MmPunuIVcXkohpatJ`PpTAu_\\QiTJKxmP@JAlr[EpCYunDOWTyDlLIPkDuQJXm?yujALdir^lpPtrIQxgpyIevF@lsPxvysxhrmuqsXVa\\l?pkQ`WJyiXH`yAZYQZIXp;KXHpy=JYQj_Pn:DpQHuZyIZYvf=pyrwryEYOb_Of:CxQIuZ:tmaYJxAyAuYvQkPLk<\\RYyv=:cRYwv=myryRy[iDol?@kxtsA:KcG[yRuIMyuw;XdKUIKs<kbI]cZECvuYjkL^\\pvej:xY:\\oDarjxiXF`wgfyAZKQtPC:UvICiQkwy;bXySykR_=VRyA:etK;UgmvlsyLyqAiatiX^xCtb?QxiQgyY:XWQYd:^nIgboODGVL[yxYyQyqeqjYxiCO<QDauecIXIwsnyQTooiGvqquyxy:noTvixQl_^hQx]kix]wrviqIr?EsVQxVCtVwECgxEAuoqXLAFPaGn=ug_g\\gyPqxd=eHQhsSDvSwPMt@[D?QHhCcy]YHwtcwrm?Y[qFx?UAWuxMtXusoyGS_V@WS^OrA[w<IHUwGH;Bu=xk[TL;roIudKexgDf[fEQwcqdqQvWaYBay_ie_CHR[VYGhFoCA_u=erQwY>YU=uedQsb;WTUGIKsBOfKigNKXZmB:mrm[YhytwWTI;B_IR@EUv_TPwhvuHyISXuboqvUeuVMgKaI`sG\\UinMr@?BP_hK?u^Ww??EyQHg[f=]Ya?Gy=TvEfwqWrUYHcsXMsQ[Thqw>Cxg=SJEfCwGP?xgiF^yI:KIj_BVygCkeqgeXer_EFIasRcRnmHtoBWMBIYrU[CL;tv?SWEDW?eY[YRor:sv^cGS]YLiB[swEuBkiT>kyXUTL?WhqIOWEB=XLiwfiFA[yLqcaYbOAe]UD=WrY[TvEXoyHZsuKYGtgb<Gsncs^]mhpKOuL\\pJL@sDhlCQx@LRImrg\\POHnkHna@ypLVgMXWPQe=sPDXCUyhlLaYUi@pE@ug`slqnGUjkdJQQkuupLXN^em@iqPhjaXubuPTarkhp_ipfuLLhuE\\myLUTlx`uLj=Jh@Mu\\V:lJGlLXqMJaWohLNaWnUYrtOPDj<`sK`YeQm:PoslxDTnrtSWdSntJLly_`ucqxqikc@WLiuYdWWQr<ARTAshtTLTRpEnB]SbImQhVPxOU`KfuXKlmppwNYQkqnm@OrUtEQqlhpr<ToXMWqWYaSOpOgayPUjueL`EKZLRl=J]PycDRsHT@yxy=J[yljyTWDyilxHhmxDYWqwUaweIm=Dqq]uuQl>MltaMuMk`@xIyj_@TMPRQ`RkdWgdM^UU=mL]ttG@L:ixWYlVtvs\\NAtma\\rUeYuhTQPRQ@rvtti]OaAyhmWfTV^ES\\lR?QL?\\Tomr_PsJdRK\\siyJxil=XRYM\\iHg]XedqmUFqtpqXpusfxC^oPvb@hu`FqP@]UP^w>nYf^Cp[KAjAfZCArgqvjyrAh^IxcDhcIvcr_xViiCPeK>kjVh?p]S@Z]InvnmCon?Gvy^[?g_VHlryiGodlxhuOfZv]t`_UAubHwL`rqHp^Yh:_]gxo>YosXnLamrqaji]HOsLqw:v_\\a_yPgRXr<v`HOe:o[;GyJOlsW]TnnWHxMgwywgrhpJqwh^ggioU>dKpun?k;agJXum@j:n^@_sAAg]IhRf^@>[iQfJapbgjjxkD_pKWgVF\\UGjRfyLAbUIvO_xKvpFYnkpvZxpjyo@hoZpmEfi=fcDX]EphoPmnFjNGcEfZMG]:Nh^P^<vaSq]N@^sVgiFkiGip?xU?iYGdKvspg_nVqSXs?g[VqqrWjFnvw>oq^]`Y`q>Zaa]=fqZi[dwv>q]YVpOq_\\Ae_giT?g>PgKop^xdiQ\\G>sSGcDVkP`Z@Hr]foUwiD>icouwyu;WtShxXv_RNrmv`svvMamq>]^yfbh\\hwsIgpLaw[ppLaogfwgHvrHePqu?>eMpai?mrAZZO\\CwaG@`knqZVwTpjYXvwvgfqm`nmHYvG?tfpwniu^FcPVsuylPHxFofpNdhae?Q\\[?cZ^mHHgtyZD`aEOodOygOowHqT^ttHoU`hupa;i[OPrUOvJv\\aqhVIch>i]omE`poQdXYuEgiO^xx`]?pw[X]]gmXX^\\n[r_[@wbMWtNQyOYcIcPshQUtT=wlWuoSfPaTA;IQaC:mB^IEsIc<MDQCEZYtBecGArL=ikMwXOGXweScXCmdeSSwQrhGB`;B=?hqiE\\KDj[U@?f:;trCsrurDCwmugVoVIsiHWTaWraIGtGt<KuOOEBkwJeICwVLICCaVlCs^MxdyEv[vmyI:;tc<JZMrL=PWljwAwIeqmyi[I^Ypy;xcyAZ;H[A_y^V`yAZJI_yAZjI^b>pWnZw?wIiqmwy:>xJxS<><f]pyLF]yEtcry;Bx[B_kd=AfIcySwXhyI:kILIuy;Bbaty;Br?TNyI:MB=yI:ci<yEyKbLSs;=taouFYIQyI:sICa[J]jI>yI:Cf[yexErIwI;Ec?<taquFXYQyQyEkFBtJBvi<YBui:yvy;b:_r\\=BnIeqSvxixIyq>Jt;ySr=saZ;TK;FtasuwTW]YV?vtww=ySwobgyI:]hZowQkILI=BrXoK@YHdPg]VcyXTqYP`VUXswpJjYuU\\JGpQA]KOuS:IxXpnn`nw\\VaEtuunkiYelLj<Uk]uhhq\\ekhYr?uOkixchnPTjVDT?YlgPLIuW[DNqaNmmJLDRktV[LP>tVk`y>EqT]RxPnkIjamigagawmoqpyEygefWyIcgueEhewhYF[ihnOYNAUSaXYqFmkbmmsv[uMss>KHrouR]GrYIvewwAOitMmTuJwhLokgg]\\AtDX[EIfdXko_mDWxRIceCEIuHitlcv@_Em;FH?XugdRsHQehY]SCwGb]WTww@cXwqdSlvSiw=DPu?sk``;abaog^WxNF[FNg>WiqHv;poqocTnlU@hqPayOreWwSOtp?qCO^PFrLPd_Xc=nvjohmx_V>fVHZThfFydqA`c?xV_y\\VqPh]nfZlhk?ppUAh:>ZZVxjw\\;PxX@a^@pLowx`xyvgMVpkyt>i[AWrxX_mhpHPsefkbFgMheFYwkGk_?mIg[vHh:xdDVmhA\\Ppskomx^ennuW>yExhd@ipxv=Yhbq^Tqv;a]dY`gNyv@`lNlu@dfqdMHa<o[OQwsqrKyqLpqyHx?VympuvA`NqoWfoXIuFxm`_g>ivSWlSpicA_^xkOo]Op\\Kp_i`ngoyFAyQ?oSiwEHsXFdq`ZA?qx`usIqyV`MFseYlA_t_huw?ww^qvosY`ryn\\ZQtgOnO`hEWmCi^Nywn_x@Xa^xdmggl?pPBpIrV[sr;s:=XIQIEsyQswZEh@Wv`iUcErXqS@orLEEhqB;[y@ivaSUsGDvAU\\geC;HkIFH=BPSvLkvEWUGIBoIExATWUCsSfeaihox_SC<=xmqvoEyQCh:_eKMuwMBdsxMaEEyI:MbEEi^My\\stHUSfMeMkd^IHmIYCqfyoyBovQ_t_euw;gw]iHkfiMcqQHIoEUwe@QsdMHUYsbew_[DN?Fo?XSshnSSUMfW]YsEVRsFYCyNitrWd]oRoWIWQIx=u`iinMT]wYMawKcB^SXjItHgHSmIOsVRGxLWsnQht[sqOqe<OvYnwDQ>\\rCXlfaR\\ePe@mIYMV<O`YJpHkoUOQulTixAima]yi\\t^Yx\\LKcHJumPSLnlIXclMhqp]Tplpk:XlH`PPmkWytXYjUyrFMWnymCtltpJcdWayY:HvCaxRivwpYHEwTLYsPsViYJduOPu]dlEDqE]vvERj=MkTOUIurypwimdtR=<WmTSaqQ]pPWhj:eQ?qVLHMLDKmEmVAxiQxZ=PZXxo<kTErqlQ[tPy@GOrj_tvweoYuGGypieaAUFmvVGYy_y[MUI]UkEuqMyoiipogtiwAORggRhEU_We=UUf_ECYvl?sMwhVgcx;us_VLAgt_euwOItWYXpfpTxHp;mNeuXpXw[`uVYuRMWGtVu]qmtlJ@OOLNSqPd<PSPXZuJbDK@IJE\\VgDMxhoeuLqmuTPKM=REalOenMHpTdX^UVbMlZ]V?\\setj:Mss`UZtVcMVQ`kcMPsAX@mQG\\SLmja]jRdwjaKUuXp`qXundamVLXl<PdYYBxOhQLLIQxDlWASpDrP]tjppw=SPaO[tqumrRxveamoiNoEOqueXJmxs;umQdPc]Q`dPyILcUmxUto\\TpqJTAVxavKtRMdR=@J=pku]uiqRJYtX<nQUo?Uoi`LxDvB<yUttpiwa@QI]YXXpX]QDUQgMUKTwWxM=emTmREXybyovUmQqPG`VThPUUMp`nCMu<TVUpybmSAiLlhPy=m;ty^TyUyiyg_yAZriwoVjQhhq]my`xO^VgnIYkvQ]NwYQxTYWyGrI]yeStAsuoOvPyI:?XKSwtoXKwYc=ypugAqxL_fKyxVSCKShncGLeROmbfGT<IC]iTgyI:eRRMf\\YFEYuYMi\\QVUMxy;RQIRnOFDWwV;GD?g\\;BDEH?[L?Am\\LK:DP?]LJEJ?]<::AfnOv=OD:EXvIGyQnIxx]xY:HTC^_yVv@y_fxqtmiAyMmI:::KGy?ct_uyDkyWvXytxiqowawQ^t?_rylyeAgyieytMwy;RtaRnLOUALCmQYhyeyioYrIwy:Nt>c_yExmYfyI:YwauycEsVyLYQi:fyjsy;Bw]vDCgh_RXgfnIt>QTsWTAefLAV]WN>ARxInXApPpvBDmxAWadTkiNB=JyGqyei=yy;rrcVXiwIci=m_y@lyAZkQsJ`_KgdvYuYPyA^eyAZYAsySswRUYXyAbeyuuCyIsiV;FE]<::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::HoxpQwiYdumpxF:xRUXXyAreymuEyItyV<nC<pu`kKIJcAtsupy\\xHHqywi[vYjiLYA:JQLJfukIQTFtkIWb`auyAZJQaaqyxYbyAZAA_mqgy;xAR:gs;IWtGt;IOb`yUy=:BIqxaZY=;RM=VtoYN=Vyox[UXhyI:;WWYXysy[yQAAOmmwy?T:IP;Dp=>]XflIVmmwY;ttyvxmy=yQHHt`auyka;>h`>rnYn=NT:vIB_mmY:y?>ZUXZLakINcAhS>N:nVjm;I`fw[D?`wN_Yn`a=ZAWmmwY;<Z\\@vmNdY>w=qyut^yXy_uOieqkw@=xWscCESfmW]iwBGRqQBRQg;sRXuFHerSqyOtuYayPxjy=jI@TMaVYiuHPuDPvydPvYseyi_FnyMtyQo\\I:Nhk^ugAghX_uyd>=jKiye:ZKPkaYg?GhYOuxh^oyy:FsbwiriyYNux<ZV^khnhnxdOfyePvYwevqlAxYYVnuyd:J^Evmip\\::v=:JHJT;j=[w=:\\F::rA:ZVZn<ZA<uA:>S::jI::s:cgAeVky=RCZy;:FqR^eUIxY`yExTjK;^OoaHpyeiewpppvt<ob?HmE_Zq@jMnjAVjaIhLinlxbHPsOflpoaWNkP`ZF@sfY`<xb<WaMQcBIgWamq`ry@yqipyueutMyQ^tS?syXvXytxeQoyAcyOUTEKFSyv=wWwfYBwVohXd[yxXuytTGxQyEcogh>xpnFbDtLEDLMb\\]sL<JM\\\\g^\\:>m]`\\n@d<NfFPdKAbCNkcFg`@jQNklfaeW]HWth_i?woe?dCiodQmooqU`_J^rPP\\fXiEQrLXpkN_>amr@Zj?ZOFnqNj\\PjQNmiO]romrVvLosiAo>g\\:OwCG`ZQ[g_^IG`awkT?aoQoTvh?`hwqbWqonB:yBXGfueRUGFLeCLCENkx;mBPKhmKBHiY?Iey[RSyI:=wkExIkYAyry;r@AGJqGuUtkUGAoUoAErKGY]x=siCwwCai<gVpuYbgRVQy]YscuSTICvsD>=SXsyT?ITcFA_bxCfLysFub@Erq?uowBg]utcdussAIuUKb`AykwDCGvB]HschbeDIaBoIh];va;GGmIIaB=Cu;]yeOF>gf<icT]B]aFnyudQYuGTZiEpawkUW@wRgmDYer:qcBkypCXsiv@;FoAClKHlKhvMyj;h\\GtKSFictKuyYIxy;bkKInWsxaRvEtRQihurkIvIawuUEyETeyT<eu@QUL;eiuFCUf^Me:_BF;f[mB;sbwGYgcXs=TImYb;gNkGhAG?DONlnbdRg\\l:@M]`Ln<T<PVFPTK=rCLKkTS?=J`@O?;::::bb[VoueMgUgahEWIN?BnqXlOsZ[X__tq_X[KWIQBAAUgsrXgtQIFyMSVOGtoeYIwV?yq]BcihW]wM?SjaEA]UbcE=?tegFVGRVcXoQvuIbpktpuSoYi]sWLUe:AEYagT]dBWCLABCIXZMx:]ycKE^EgBGy;eG@wRowtIErJ=CRwFG]yHeRBkdE=W>=HB[r=WYyKrI?TDyHvAvEui=wTDyI:;HtyI:kYqor=oFKkPd=pwLo]<v_yY:HnAery<YWxMyYmb`Vj]uK`Wm]qgMvnqU;UlpEnJ`uA=nYXq^uMDiqJqVKtv=PUFr:keBCcJUyrYD?OCDMxRyE@;rYyhhiBj]iFGvQoBXCg[;bZYsr=x;wYp]huIFGMFvuCd;hwKwM=FNwBYEerWwIMiyycyisKsIBAgyIvAery<XtxQxup@IjFISjhqb@rpaOeTmueki`rtqJApN_HybTrOhmo\\tLiul`Pd\\vsItN<P=Lov<LAImsekdqx`LT=MTf=pw@?QTKUs;KG`w:_TnGTZKG`w::::j_<NdmN?dON<TAHNkyOxiQgsoWwcyQLyn\\xKCxY:nUwYibBhLMUS]mpCAxuuwYceb^fhDaixVyQyYeayenCLQ=UEUX>eONDTLEJ?c:OFD:JGaPdeW:\\VrqvjMuemudLU@iswmpy=JjMkTXK\\ayQPqQYRILlbmXjhy\\PgShavH`G^nuPpJxZGyrx_ytWtowaGVmWpbuWwwnfqicPXvcgm\\ojcNd<OoOVeLF_Tqh:H[WnhD@jrYfKwamAadwbeynTyiki\\w@nqQ`E`lnGp?Qgty\\D`x@xqpHtif`SG^Q@dPolqycqpjcnog^ZIgv\\Vrfox:QaFOxi?fOGmFgfEp_Kf_dO\\v?cQv`yWfyptY@dwW^EYcSpg\\Ve;?a?pb<W_RHuSxxWFnK^tFHyF`j;htyAZ<y_bxxkqj_@ycqxAxYMUnyI:KbkEwyHNAYttiy<TtyLY?lOTiyDqVQXvQ<YqIV\\UMIeMTUwTaUX@nu<kculpDLGaY_aYOPp<Er^`KIUo_EPePjFarkQs:<jmmqiXTxandyxthk^pxqyXTiyFuo[LkcIL]EUPhTl]s?an@uucxmNlKZtSF@MbXVcyqjUKdIqy=jKtqKIWyARuySxYN_x_?gxM^mryqLwvsnrY@gynxDGacwxHFgpGaiy]cOm@Yn[GnIon=aiqqdTf\\fIZZFqTYkjotk`^Sgc;IeqIi:X\\X`j^_[Pg[_yj>YqEYoAplpQy`qww>cVWewAnZfpH`fLxc`>eSivjGd;geUY^G@hxgf]_ktGZjqrZHixv_NYxyAZZWyIoyqnykGcyAZBnq[`kyOr[GouQv<YtY`ylokTgi=QmWok?fgvVe>NuWhw?xpEhwLQveobGpekQedyihfu;HeWgfLN_Af_@h_Z^eGHsZ>_MFUeUP_fpCC_afB?w[SclqdWGrVcW;WXY;bA;F=ObsySriBo]s]kIMesEsy?mxy;RvowI=I@cxYKYVexI[i:axy;R]aXNIGqWtUOGGswQsuogdH_EA;uToUVyq^MsP]My=XwejmmXXEmniqq@qyxToeMDUqsmlrAVL<M\\TR\\`M]HPGDRr`Q]AQBilJAo:ArbtMi@R<XYEdRNlt`EJ?]LJOK:::::b;eXEyey;d@iVymuMyQKeWQIwMdrV<XCaJdLMsHtKtTwDRRXNlqNVhu^HKLlWg<LruVM=Wvhp^\\rkhjMiwuxY:TtBxY:prk\\YaaQMMWTqS_HX`HSgHWpDSjmon@W]DsSaNJlr]\\m@]ve\\LEPOlER<LVAUrKyn>pw\\dk[pPkqUc\\lK<oBUNeUUcMKb<M=TX`TU:<jCtv<xLxELwYcHN]QpyEfwy>yDXuPxml_d^PqV^cppmgVpxptU>cLipGO_PIwFPq_gp?PvfnhqQjPqsrnm]Yf:pteivt@pgWslApRqbmvfRwiBP`Ewo`fmqOvR^jQI\\jplCgt;xjHIyLiuP>dS^qvHv\\@gk^mp>eevdT_ii>oXpqj^twykRi_Cvy:>tyNeInjov_ta]on_twy:>nTWhyAZHPd_ynVaiLawMOkeirjaitFprwoinooVyAv`Kvrr^dPhw=OafP\\hpx?^qa@]GV^xGxJVqkf[uHMUiYES]_bsKRwQVqGdu?XJeB_ggvEvGqrrme@sUfwi;]cKCWr=vvoSd_tHYCxElIdYHV^eimxVtY`YAVrUEKyQ`IxNYXyAVuYpvYv]pLY@x`ul]ILkinqhkveQ=asDxV>QuX@mpaKjLpXyraESsiNjXM^lVZDY<tSn\\P^EyZQP\\]qgQUthmqlk]lKE@qhePwMQriW_MLEinSUYC\\TNmPKar;lsp\\lNuLbmTd\\UPLVqutUuyBpq[xU@QmYlY:LupIWyaOcyR@dpK@skqKbxKw=YTyY:HXtDqcuXHDWpUPvEmkYv_pt[XM>QqFPRBmRouk^<Q?pVODmxprRAVfXssPsItlqmlNAx:yXatt[mrQuktevAlZ:>frwqM?ZjwaJi_rn]YPwtQdyOrk>oyAZJIvcxy:>v?vnyAZKncNYyEPmWWkkach_aq?oDOiWp]BIhyUQYyY?XgQwF?TnavLqU\\CiioGoWcueR>IYa]DFMFh?gD;c<;w?auk_dkcwtmSIceDMRcKgtKcb;Gb?g\\KC:?g\\:JLMMTUR:amA`ry@yqwy:netxmxILcj_xY:xrwxOwQYd?ZnIkbqoTXeSNpYwjD`siOs]xmVIgWIZyuacceawRyI:]uy;rByTHYG]EGXAUXcUI_SLgD<?gFmu_KCQCCJWcWSd;[UIMsi[i`ySy;BGyHyORiyI:Ci\\WHNWss]xpyrxYVxobGyswybvesvYFyGs]yQZpkUxi<voyGy\\vkruAwIZosUwY;wty;bvEtM;CQoyHAuyZ@wrxYvxqbxHhyAZ>HtyEtAbcyI:;YOYyy;BC]ty;R<Awy<w=pny=JZitiuY^HTBulxpkRyY:\\uyGl]XfyUVV^Y?ayAZ<AgyAZnIZMyijQ_qyY_ny=J<Kn;:Kx?wc]kxylwy\\vbAuy=JVS^YGayUrcsYoI:MyikY?quy`VDxQ[]py_X:BsQraIDUyeuyCsKEpyI:sP^YWayMreCLqimiwLlwAc;:bVErmAggysw^`swgwyrvikvWvyAZCZJ=;@nyMvbyAZZp[Uxy:FjQwqvIlA?^Yvbswgw]UbymugCyTIyAkYM::yBvo>jXCs`m=HQnqxAyY:lmgEYTlpy`YmywByTH;:FSy=LI:_VD_i<IYnq@>gRmsqvYIli\\=?@cA:KsyLB\\H:L<t=VXnbAyYwVUmi@mykwy>I\\Z<=>^y`vK<>N:b];ThciWIxytClmUWVZ>\\b=Z^ry`::;@PT^YKYNxYYyId@ZoVXsA<>N:r]::na:GQnYfkIhyAMxj>Jb;jK;;?:QD^WSYvYk_KXNFHH<NR^X:DCLB\\HjqCC\\F\\Gs`K]rlByDbx:FSZn=:CAnWZVEli@:fQLhy::Js:BGSMqsTIA::y::u?`M;Xxbigu=jTHiv=;<D:::ZVFjm?wgUyr@Zs=>NRZi<ILM:b:JA;:Jxj>Jb[:=:;?:<LhdIFHHL]nYnQ^J>WZiMLvYM:[@:<CvYk_KXNFHHliJ[Kt;b^xi>\\b=:\\FJhSnBhFli<dI:MpyZn=:CAnW\\PsyWyaqYMxo::ZY:ZwLlgaR`etYAvsp^yGX=wqUWG::::pE^i;XHvYs;Fy`=::::::`IHtk:lA`:<G>RJy[Z<=vO:ZI]U:::::jXCs`=:\\@HIx?DFLI:_ny_J>W:^>Js[T^A:^J>W:jyG;>TBjjL[RMh?SBhFL::FSZn=:CAnW>UlgByT:jXCsx=::_=ZnJqsT::::fQRHZu]p:esvlI>Bb:jA;:BA=>pIh;Rx:;?@BByG;Z<:W>:Uny_aYQxo:BJ:r]::nAhxiIkDPrTaTN<vxXscLX@yJvEYwhl]yV@_hs`bJaxBimgyf>@c_NqpgbLP`GhkmA`HI[gibgoctV[=wyS=::::2:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlK2dGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiVnWkYqLSUpQ0hJTERSRU5HNiI=

Figura 15.1 Solu\303\247\303\243o do Exemplo 15.1 pelo Calculador Taxas Relacionadas e Diferencia\303\247\303\243o Impl\303\255cita

Para obter esta solu\303\247\303\243o, siga os passos abaixo.

<Text-field style="Heading 3" layout="Heading 3">Passo 0</Text-field>

Inicie o maplet RelatedRates.

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

Entre com todas as informa\303\247\303\265es da seguinte forma:

Entre com a f\303\263rmula do volume de uma esfera, V=4/3*Pi*r^3, em Equa\303\247\303\243o ou campo de Rela\303\247\303\243o.

No campo Vari\303\241vel(is) Dependente(s), entre com Ve r dentro dos colchetes: [ V, r ]

Tempo \303\251 a vari\303\241vel independente; no campo da Vari\303\241vel Independente, entre com t.

N\303\243o existem constantes (par\303\242metros que n\303\243o mudam durante todo o problema); N\303\243o mude o campo das Constantes: [ ]

A informa\303\247\303\243o de que o raio \303\251 8 polegadas \303\251 especificado pela mudan\303\247a do campo Valores das Vari\303\241veis para [ r = 8 ]

A \303\272nica taxa de varia\303\247\303\243o dada \303\251 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 inLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUklbXN1cEdGJDYlRistSSNtbkdGJDYkUSIzRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrRjhGK0Y4 /min; no campo de Valores da Taxa de Varia\303\247\303\243o, entre com D(V) = 400. Observe a nota\303\247\303\243o usada para indicar a taxa de varia\303\247\303\243o. Esta \303\251 uma nota\303\247\303\243o especial que \303\251 entendida somente no maplet RelatedRates.

A taxa de varia\303\247\303\243o do raio \303\251 a quantidade que procuramos determinar; a quantidade para o determinado campo deve conter D(r)

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

Para preparar para diferenciar a f\303\263rmula de volume, ative o campo Equa\303\247\303\243o ou Rela\303\247\303\243o. O campo ativo deve ser agora 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 :

L0kiVkc2IiwkKigjIiIlIiIkIiIiSSNQaUclKnByb3RlY3RlZEdGKilJInJHRiRGKUYqRio=

<Text-field style="Heading 3" layout="Heading 3">Nota: A " Equa\303\247\303\243o Ativa" </Text-field>

O maplet realiza opera\303\247\303\265es em Equa\303\247\303\243o/Rela\303\247\303\243o Ativa. Para fazer "ativos" os conte\303\272dos de um campo, posicione o cursor sobre o campo e clique o bot\303\243o direito do mouse, selecione a segunda entrada: Tornar Ativo.

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

Derivar o volume com respeito ao tempo clicando o bot\303\243o Diff wrt indep var . O resultado desta deriva\303\247\303\243o diferencia\303\247\303\243o \303\251 mostrada usando 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 e 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para representar as varia\303\247\303\265es do volume e do raio, respectivamente. Conclua fazendo este resultado a equa\303\247\303\243o ativa. A equa\303\247\303\243o ativa deve ser agora 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

LUkiREc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSJWR0Yn

LUkiREc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSJyR0Yn

Ly1JIkRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2I0kiVkdGKCwkKioiIiUiIiJJI1BpR0YmRi4pSSJyR0YoIiIjRi4tRiQ2I0YxRi5GLg==

<Text-field style="Heading 3" layout="Heading 3">Passo 4</Text-field>

Substituir os valores e as taxas dados na rela\303\247\303\243o diferenciada, clicar o bot\303\243o Subs variables, ativar resultado, clicar no bot\303\243o Subs rates of change, e fazer este resultado ativo. (As duas substitui\303\247\303\265es podem ser feitas em qualquer ordem.) No final do passo 4 a equa\303\247\303\243o ativa deve ser LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtSSNtbkdGJDYkUSQ0MDBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSI9RidGNy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQC8lKXN0cmV0Y2h5R0ZALyUqc3ltbWV0cmljR0ZALyUobGFyZ2VvcEdGQC8lLm1vdmFibGVsaW1pdHNHRkAvJSdhY2NlbnRHRkAvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZPLUYjNiktRjQ2JFEkMjU2RidGNy1GOzYtUTEmSW52aXNpYmxlVGltZXM7RidGN0Y+RkFGQ0ZFRkdGSUZLL0ZOUSYwLjBlbUYnL0ZRRmVuLUYsNiVRJyYjOTYwO0YnLyUnaXRhbGljR0ZARjdGVy1GIzYnLUYsNiVRIkRGJ0ZqbkY3LUY7Ni1RMCZBcHBseUZ1bmN0aW9uO0YnRjdGPkZBRkNGRUZHRklGS0ZaRmZuLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEickYnL0Zbb1EldHJ1ZUYnL0Y4USdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHRkBGN0Y3RmBwRjdGK0Y3RitGYHBGN0YrRmBwRjdGK0ZgcEY3

LyIkKyUsJCooIiRjIyIiIkkjUGlHJSpwcm90ZWN0ZWRHRictSSJERzYkRilJKF9zeXNsaWJHNiI2I0kickdGLkYnRic=

<Text-field style="Heading 3" layout="Heading 3">Passo 5</Text-field>

Resolver para encontrar a quantidade desconhecida clicando o bot\303\243o Resolver para a quantidade desconhecida.

(Para ver uma vers\303\243o com ponto flutuante de qualquer resultado, clicar o bot\303\243o direito do mouse sobre um campo, selecionar o a primeira op\303\247\303\243o do menu (Manipule), e depois evalf.) O resultado deve 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 ou 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

Ly1JIkRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2I0kickdGKCwkKiYjIiNEIiM7IiIiSSNQaUdGJiEiIkYw

Isto completa a solu\303\247\303\243o usando o maplet Taxas Relacionadas. Para este problema o maplet n\303\243o \303\251 realmente necess\303\241rio. Mas, quando existe mais vari\303\241veis, e uma rela\303\247\303\243o mais complicada, ou outros aspectos complicados, o maplet pode ser de grande ajuda para economizar tempo.

<Text-field style="Heading 1" readonly="true" layout="Heading 1">Maple T.A. Maple-Graded Question</Text-field>

Using the Maple-graded question type, you create a question that uses Maple functionality when creating the correct answer and determining if the student's response is correct. The Maple-graded question type has an option to plot the student's response. To include the plot option, insert the corresponding task template. For information on creating questions, making assignments, and exporting Maple T.A. course modules, see Overview of Maple T.A. Integration.

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

Algorithmic variables can be used to create a question that contains randomly generated parameters. You can refer to algorithmic variables in the Question, Answer, Hints, and Feedback input regions, as well as in other variable definitions. To reference an algorithmic variable, include "`$variable`" as text or 2-D Math, for example, x := `$myvariable`. Adding algorithmic variables to the question is optional. In the following execution group, add an algorithmic variable. To include more variables, add more execution groups. If your assignment contains more than one algorithmic variable, ensure the variable names are unique.

with(RandomTools): randomize(): nn1 := Generate(choose([1,2])): incdec1 := ('increases','decreases')[nn1]: incdec2 := ('increasing','decreasing')[nn1]: dV1 := Generate(integer(range=10..20)) * 10: D1 := Generate(integer(range=1..5)) * 10: ans1 := dV1/D1^2/Pi;

LCQqJEkjUGlHJSpwcm90ZWN0ZWRHISIiIyIiKCIkRCI=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 1" layout="Heading 1">Quest\303\243o 15.1</Text-field>

The question can contain text, 2-D Math, plots, images, and algorithmic variables. To insert a plot in the question, use the Plot Component. In the following text region, enter the full contents of the question.

O ar est\303\241 sendo removido de um bal\303\243o esf\303\251rico de forma que seu volume `$incdec1` em uma taxa de `$dV1` LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSNjbUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjNGJy9GPlEnbm9ybWFsRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRisvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnRkQtRiw2JVEic0YnRjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGVC8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRklGRA==. Qu\303\243o r\303\241pido o raio do bal\303\243o est\303\241 `$incdec2`, em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2NtRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==, quando o di\303\242metro \303\251 `$D1` cm? (O que \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2RyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSNkdEYnRjlGPEY/RkIvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRk4vJSliZXZlbGxlZEdRJmZhbHNlRidGK0Y/RkJGK0Y/RkI=?)

Escreva Pi para representar \317\200.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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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

To evaluate a student's response, enter the correct answer. Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable `$ANSWER`. Enter Maple code in 1-D Math that evaluates to the correct answer. Add additional execution groups as needed.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=dV1/D1^2/`π`;

<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field>

To evaluate a student's response, you must evalute to a Boolean value (true or false). The variable `$RESPONSE` is automatically initialized to the student's response. Using `$ANSWER` (the correct answer) and `$RESPONSE` (the student response), one example of evaluating to a Boolean value is, evalb(`$ANSWER`-`$RESPONSE`=0); Enter Maple code to evaluate a student's response. To add additional Maple functionality, use the Answer input region.

evalb((evalf(`$ans1`-`$RESPONSE`=0,5)));

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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

A question can offer hints to students when requested. Hints can contain text, 2-D Math, and algorithmic variables. Adding hints to the question is optional. Enter your hints in the following table. You can provide up to three hints.

The volume of a sphere with radius r is LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEiVkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUy1JJm1mcmFjR0YkNigtRiM2Ki1JI21uR0YkNiRRIjRGJ0ZALUY9Ni1RMSZJbnZpc2libGVUaW1lcztGJ0ZARkJGRUZHRklGS0ZNRk8vRlJRJjAuMGVtRicvRlVGXW8tRiw2JVEnJiM5NjA7RicvRjdGREZARmluLUklbXN1cEdGJDYlLUYsNiVRInJGJ0Y2RjktRmZuNiRRIjNGJ0ZALyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJ0ZALUYjNiVGaW9GX3BGQC8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGaXAvJSliZXZlbGxlZEdGREYrRl9wRkBGK0ZfcEZARitGX3BGQA==

Both V and r are functions of time. Use the chain rule when differentiating LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW5HRiQ2JFEiM0YnL0Y9USdub3JtYWxGJy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGKy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRidGQ0YrRkhGQ0YrRkhGQw==

Replace this text with hint 3.

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea0`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>The volume of a sphere with radius </mtext><mtext>r</mtext><mtext> is </mtext><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mrow><mi mathbackground='#000000'>V</mi><mo mathbackground='#000000' lspace='0.2777778em' rspace='0.2777778em' background='#000000'>&equals;</mo><mfrac background='#000000'><mrow><mn mathbackground='#000000'>4</mn><mo mathbackground='#000000' lspace='0.0em' rspace='0.0em' background='#000000'>⁢</mo><mi mathbackground='#000000' mathvariant='normal'>&pi;</mi><mo mathbackground='#000000' lspace='0.0em' rspace='0.0em' background='#000000'>⁢</mo><msup><mi mathbackground='#000000'>r</mi><mn mathbackground='#000000'>3</mn></msup></mrow><mrow><mn mathbackground='#000000'>3</mn></mrow></mfrac></mrow></mrow></mrow></mstyle><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea0`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext></mtext><mtext> </mtext><mtext>Both </mtext><mtext>V</mtext><mtext> and </mtext><mtext>r</mtext><mtext> are functions of time.  Use the chain rule when differentiating </mtext><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mrow><msup><mi mathbackground='#000000'>r</mi><mn mathbackground='#000000'>3</mn></msup></mrow></mrow></mrow></mstyle><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

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

A question can display feedback when a student provides an incorrect response. The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to `$RESPONSE` (the student response) and `$ANSWER` (the correct answer). Adding feedback to the question is optional.

with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea0`, `value`); ANSWER := dV1/D1^2/`π`; if evalb((evalf(ans1-eval(parse(StudentResponse))=0,5))) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!&NewLine;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="<NO RESPONSE>"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect. </mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer: </mtext><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mfrac><mrow><mn>7</mn></mrow><mrow><mn>125</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><mi>&\134#x3c0;</mi></mrow></mfrac></mrow></mstyle></math><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, SubstituteAll("<mrow><mtext></mtext><mtext>&NewLine;</mtext></mrow>", "`$RESPONSE`", StudentResponse)); feedback:=SubstituteAll(feedback, "`$ANSWER`", "<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mfrac><mrow><mn>7</mn></mrow><mrow><mn>125</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><mi>&\134#x3c0;</mi></mrow></mfrac></mrow></mstyle></math>"); feedback:=cat(feedback, "</mrow></math>"); fi; with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Feedback", [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): if feedback <> "" then Maplets[Display](maplet); fi;

<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Exemplo 15.2</Text-field>

<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Enunciado do Problema</Text-field>

Um avi\303\243o voando para o norte a (uma velocidade) 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 km por hora sobrevoa sua casa ao meio dia. Uma hora depois um avi\303\243o voando a 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 km por hora muda a trajet\303\263ria para o leste quando est\303\241 sobrevoando sua casa. (Assuma que os avi\303\265es voem nesta trajet\303\263ria para sempre.)

(i) Encontre a varia\303\247\303\243o da dist\303\242ncia entre os avi\303\265es \303\240s 3 da tarde.

(ii) Encontre a varia\303\247\303\243o da dist\303\242ncia entre os avi\303\265es para qualquer tempo depois de 1 da tarde. (Porque esta resposta n\303\243o se aplica para um tempo antes de 1 da tarde?)

(iii) Descreva a varia\303\247\303\243o da dist\303\242ncia entre os avi\303\265es ao longo do tempo ap\303\263s sobrevoar a sua casa.

<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Solu\303\247\303\243o</Text-field>

A rela\303\247\303\243o fundamental neste problema \303\251 a dist\303\242ncia entre os avi\303\265es a qualquer tempo depois de 1 da tarde. Assuma LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4= correspondendo a 1 da tarde. Defina um sistema de coordenadas na qual a sua casa est\303\241 na origem, a dire\303\247\303\243o norte \303\251 o eixo-y positivo, e a dire\303\247\303\243o leste \303\251 o eixo-x positivo. Ent\303\243o, para qualquer tempo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= > 0, a posi\303\247\303\243o dos dois avi\303\265es s\303\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 e 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, respectivamente, quando 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 e 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 s\303\243o as dist\303\242ncias dos dois avi\303\265es \303\240 sua casa. Se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEic0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 a dist\303\242ncia entre os avi\303\265es, temos:

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 ou LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkmbXNxcnRHRiQ2Iy1GIzYoRistRiM2JkYrLUklbXN1cEdGJDYlLUYsNiVRInhGJ0Y0RjctSSNtbkdGJDYkUSIyRidGPi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGK0Y+LUY7Ni1RIitGJ0Y+RkBGQ0ZFRkdGSUZLRk0vRlBRLDAuMjIyMjIyMmVtRicvRlNGZm8tRiM2JkYrLUZmbjYlLUYsNiVRInlGJ0Y0RjdGW29GX29GK0Y+RitGPkYrRj5GK0Y+

Al\303\251m disso, foram dadas as varia\303\247\303\265es LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYkLUYsNiVRI2R4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0Y9USdub3JtYWxGJy1GIzYkLUYsNiVRI2R0RidGOUY8Rj8vJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRksvJSliZXZlbGxlZEdRJmZhbHNlRictSSNtb0dGJDYtUSI9RidGPy8lJmZlbmNlR0ZQLyUqc2VwYXJhdG9yR0ZQLyUpc3RyZXRjaHlHRlAvJSpzeW1tZXRyaWNHRlAvJShsYXJnZW9wR0ZQLyUubW92YWJsZWxpbWl0c0dGUC8lJ2FjY2VudEdGUC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRl9vLUkjbW5HRiQ2JFElMTAwMEYnRj9GP0YrRj8= km/h e 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 km/h.

As quantidades LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEic0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= s\303\243o todas fun\303\247\303\265es de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=. No maplet RelatedRates, entre com qualquer das equa\303\247\303\265es acima com LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEic0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= e as vari\303\241veis dependentes e independentes. A rela\303\247\303\243o entre as derivadas das dist\303\242ncias fornece:

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 ou 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

(Tome um minuto para convencer a voc\303\252 mesmo que estas rela\303\247\303\265es s\303\243o equivalentes.)

Entrando no maplet com a informa\303\247\303\243o das varia\303\247\303\265es dadas e substituindo estes valores em qualquer das f\303\263rmulas diferenciais de dist\303\242ncia leva a:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1JI21uR0YkNiRRIjJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUTEmSW52aXNpYmxlVGltZXM7RidGNS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPi8lKXN0cmV0Y2h5R0Y+LyUqc3ltbWV0cmljR0Y+LyUobGFyZ2VvcEdGPi8lLm1vdmFibGVsaW1pdHNHRj4vJSdhY2NlbnRHRj4vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZNLUYsNiVRInNGJy8lJ2l0YWxpY0dRJXRydWVGJy9GNlEnaXRhbGljRidGNUYrRjU= 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 ou 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

Resolvendo a primeira delas para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjZHNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEjZHRGJ0Y3RjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj0= fornece um modo conveniente de resumir ambos os resultados:

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

<Text-field style="Heading 3" layout="Heading 3">(i)</Text-field>

\303\201s 3 da tarde, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMkYnRj5GPkYrRj4= , o primeiro avi\303\243o viajou:

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 = 3000 km

al\303\251m da sua casa enquanto o avi\303\243o de menor velocidade viajou somente:

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 = 1600 km

(Lembre que o primeiro avi\303\243o sobrevoa sua casa uma hora antes do segundo avi\303\243o.) A dist\303\242ncia entre eles no tempo \303\251

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkmbXNxcnRHRiQ2Iy1GIzYoRistRiM2JkYrLUklbXN1cEdGJDYlLUYsNiVRInhGJ0Y0RjctSSNtbkdGJDYkUSIyRidGPi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGK0Y+LUY7Ni1RIitGJ0Y+RkBGQ0ZFRkdGSUZLRk0vRlBRLDAuMjIyMjIyMmVtRicvRlNGZm8tRiM2JkYrLUZmbjYlLUYsNiVRInlGJ0Y0RjdGW29GX29GK0Y+RitGPkYrRj5GK0Y+ = 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 = 3400 km

Substituindo estes valores na f\303\263rmula para a varia\303\247\303\243o da dist\303\242ncia temos:

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 = LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtSSNtbkdGJDYkUSYyMTQwMEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y4LUYjNiQtRjU2JFEjMTdGJ0Y4RjgvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRkUvJSliZXZlbGxlZEdRJmZhbHNlRidGK0Y4 = 1258.824 km/h

Figura 15.2 mostra como o Calculador de Taxas Relacionadas e Diferencia\303\247\303\243o Impl\303\255cita pode ser usado para obter estes resultados.

yIpyIr<K_Tn^T^;FZ;BR<`:Rr?BqEDXMeSFcCO?gd:>F;B:=J:>F<j:J:JZDnAJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BV=ofZEj:JJC:ufZE:>ON^BX:=:;:IC\\AJ;B:;:<s=J::?R^Ej:JRC:=b^E:>QNZLh:JZC:Ab^E:>s:J<Ds<:[P:<j<Ds<:k@Gb^E:>V<j=Ds;F:>:>[LX:J:j>Ds;:;:Ob^E:>W>ZZx:>:j:<t;F:>:NZZX:J:j;<t;:;:WbbE:>X<jADt<:kA[bbA:;J:jDDt<:;R:;jEDt;Z:>:rbAj:J:j:Ht;:;:J>@:OB:_R:Aj:B:=B:N];f:J><:qR:E:><<JN@j;:?B:na;f:?:k:yS:EJ=JN<:]b:Ej;>:k<ab:A:>:^\\<f:G:[]:FgA`:=:KR:B:vyUuJPj;LJ<Lj;PJ<LJ<Pj<PJ=XJ@\\j=Xj=XjAhj?`J@@kADKC@kA@kBHKElkEHKDdkD@kB\\kJ\\KGpkHxkIxkCXKKLLKtKLlKIxKIxygS:ER;Er;Gr;WB<Kb=wB?]B?wbAwbA:::::::jy=fK>[;^u<>e=FZ\\b:]R:AR>=ryCpIR:ER:=R:=Z:>:;:@J;HJ<PJ=XJ>`J?hjyMfo@<?R:Ar:?B;AR;EB;CB:@jx@J;HJ:LjBPJC@lR@N=Hkb@p=DlrLKS@rBAT>HL[@uZQKc@WrMlSDPsDr>dJEXKF`KGPLMXLN`LOLmTTmU\\mVdm[Ln\\Tn]\\n^dncLodToe\\ofdokLplTpm\\pndpsLqtTqu\\qvdq;Mr<Ur=]r>eRCISDQSEYSFaSGEtKMtLUtM]tNeTSIUTQUUYUVaUWEv[Mv\\Uv]]v^eVcIWdQWeYWfaWgAXkIXlQXmYXnaXoAYsIYtQYuYYvaYwyY\\w];r:=j:@:B:>:@J;^::Rg]B:?R:?B;Cr:Cr;EB;Cj:DjuFZ<VZK^Z?F^knZLFbKwZ[GhMN^lFjB^\\<Gl[Hp;I[]V`L?xONflGtDn\\^^`[i^ky\\RF=GsCK[on`q::::::Dr;Mr<;::::::Je[\\Yv^=NxmaX:oP@Hj:NZKVZK>ZyRwGEh_XgQCLeUAydKYvOqWh=DHibVwesexAWikOF<mbk_cXafx]d]iYj_xQMHRwf>[YxoG]EerohVyCAAiI;hsEwf_HrcHEsUFAEYgcpyTlYE=aGAUu][r_mBCWVQ]vRIbeMy?AfngGiITVeBo]IXKdPkTamceed>ksrmyR]tvurbkIPeU=chAmeeSsrssjEiDsRlwgSiHqcEr[WO]eV_V]eF]KuQ?xnYivsu?=WL]GmWUNae[urKUBoCuN?HXaeyCVYibyuya]ieYBkitOwTAkYTQgtoeCKWLIFkyqlXkrhoKTK]dUAaM>pNPMTsIv:iV@@R^QKPtmUhR_PuWySbxswEN]qodlXT`omMQTESnQNE`XXIWJLnAIp=tod`NJlJ@lRwMuOIoNQkLLwmqt=tNqpKAywmTry?wAGtywwSyYobGkuUksyLrIPnaqysxmkmOttmTdryPK\\TyuAKUYrYPrKTwPLVlMnqilhaQOPTA=qrDypAVmispHxqqx@Hp[UKwuPDEvcMOYyUSyuw`Su`nnPLPiQlqOLmJjmqf=Ll<adwtT`_FawpAiioy>hIjLawjmvkuYBpqG`m]eySuyT\\vnxkClqQxqKePgeUTAugaXUiJNqSQESTUSpQXD@XyHXE=VfyWRlWLQyOuqFPwtpT_xmHhS^QNPeuPhv[qPEPXBEv<dS_AjjHVBYxVxx]LMb@WcaQylK]yqjYjbAqy_eIAyLagjyuyFx=?wyxxfyy:fksww=ygOvudo\\PvdqPqiXugXd=IsbXwMne<olYhfs`iN^bxNe=V]vyvrFf@YbXflZ`iug`gqrApZKPnBOtWAyB@gqGxVQsKfo_PxFxmh^dhOsmQLAicKTcYH>qSEwv@Qyy\\JYhraqySxmkinl]ys\\my=J<y[yuiIEyQu]aGxuVrQHleY@UUBqghqtLMeEAg?Wi^sWvIDDEFp?GaEh[=CfsIumihiTSSBnyQ[QmxausPXg<VRaKhaVsTrTlomTLZTqDqmGAtIPsWLv[TMvx@:rmoY>cyQyTwIEyQe_eWvWyaaU=oWKCwQqVteEhciGagFCrDaECGELMhWABD;x=qv:mr;[VHQwesUJcwUCry;bTKE>UTEuiqiFdwxpCS[iDuyqkTOChumutfge]xwo?]NVh>o[Eyf@xY:::noegrtolkXfjYq=Gx?^o\\Y_EIunhlPxcbN`K@hkI;CB>_CAqI]]i\\Ew?CXm_SUasxUDGuTKUupWThcxrUBGmeGginkvcWEicrBEFIkGs?u_cCJSigkuVmryLBIXyauIVp=ymnY^byQR]ae^kusQtM[RmGgIyfWUSBqfMOvL?It[r@CyEIBlwEUcuNsvRmceiuM]IwgyOyVv_DGdo@yohTuSLv>QUkDUchwHxn`=SXERY@irvra^`@wk?Gu[=hYuyQ]qRImkyGnYfby=Qu<wtoWEucUaiRNyvKwgfIVNeHeSYoCFnKxpIMRysklSRxKS@SiITrUtUetouy<@Y=Pur@PIxsrXThePU<WPIq>XSU@XruQJyrJUv]XJD`YkILJiwjyUwA;jEYp=yMnYnb;orvUvHEhpWxa=YAocvwYTeWLYCYobq;SXgDHAGXwBFwFR[d:=GQmcDCwViW@mCdesmuBX?fpYR@OeGgng]qyDNRiuUaoM\\r>eonYm>Lp:DQrhkJLK:]JJXxKhJIQLIpsUIvIMIZGp^Ii[kyYcbIQvmYTqyVvdp]UVwpoUeRPmqIhQPxvNasplxMUs_\\r_hjNIpsQK?TLciVbYkbLUCHtXMnY=KTyUvQnpQmnMuvqTkxUdQlcmXcEXs]K<EW]Ew=plKpK>It_YlPXVJHOmirCdmPusGxi[<BTmXrswrwaQnyw]HWx\\q`Ch[ghp_iq?hyGanTI]Qa^OPcahldWpsO`L^olgeUG]K_tag]dnjwXvWPb@y_TVs`nlkIurohu_\\HPvTahsoeufj@wuo@yaQiVhh;vkj?g`QkKnuf?xaiyBNyifyuya]IcmXry_x^>gvxYaxFwYGUxtwhG_GfgXWUc?gHnshqqXpwHQmdfYH`We@mxGQX@[EFSvbCB]]wr]GjSG\\wUBUScwV]MwtgyOgRVyDxCuTERBkEsIdS_FH?x]AI=oTKGHXmYxKITII\\ubqYX=yQbyRKyiYYPcCU[iqasy\\JYvYwumkyxOVjYE@=dhghoUcDOYM_TU?UYeBugfr[SRqg[aSBGD^uVcOD]Gv:sb]Mc`ih\\;yyPrcxKAMQVdWvtPeAknXx]XYg`O<=NVqK;@uVtKdIQ\\VkiojAy]jYjbyQR]qBImsyDNYhry[Oicngs[i_SvvyXqUpdOpnc^ZL_\\@HeU_Zn@gKna\\sCqRL;HyQe]YE\\gucChOiS^MxDKyGwx@YVNgG]?D;_HQMdXUSnmCI_UVAfkGTXAg`AsHUhasZ[\\::MRrWhqIRny=;b@YHoeybEgtoc=uVdMy?gsooCkiWNGt\\_CHSVjMB__vjYi;OBJIhXEIgygAyETQEfuHuWvqITh[IcoCkgrw_bBmc`Qtf[RMkyBCK:pkwUqKeSKhm@usGxmsI\\y<UvEiVrYhxLIxarXqiw]GVbT?xwpqWhnlHudypTgjo`wQP`sQhTGcbWm^@d^`f]yogWr:HZGIckGx]>cAXrTnltPy_?xEgctvuOojIF`q^uSysiflV>naY[myfd^ubXvvFtGq\\AvemXrysB:tlaujy<wAEty[oVngwnGa_bNx:Atkns]ofFvdXHmV^hnixpIoyWpYVynpeZ^ffAxaiyB:nbIq[y;ZghyRxy:fu]Xykvy:Vq?OvQN`p?imoy>LykKYp=yMn;bowImyeu]XykvyNnkY[SXavFAD>ZKYp=yM:VgyofyvxboyFyI\\q<mvHuSHRb:\\pfwSLIRgywfrYGuI^q<ovHwsH:ZnVmvFA:boygwAuyTqAmx]uypYK>mO^awj;jEwJ:N=jIevAmx]GwvAov@bBIu[=ZGDA:joxowAmyOqyO_yVpYrc_ib]y:AsSI>:T]m;pIUwYSykJymFVk>a[WpM:jnTMvHA:::ZGpmV::K=:fpyufyrxVnuI@jQ<KSTMvHA:E?:ri::::rb::ihySxYr]:s?:j@_=:y_e;jY:?_avfA<:g;jxSeYEuI@tIr\\NjX`]]qybfiQnYFonVygv^KOqegeuFvXYlo_^bo]FO^d@n^FjLpwA>arNyTVttVfyAZowq;ncJI[MixgHbSNkPPjVYxoqlAxfjHtY^y]v]oYcnykuiyAvy:f]fhqHWuAWthgcgxYAXi_s<?f\\]hkAs=Gi:gU]EGQ?vWeB@WhVEdWQddAwa_FWYUSSuydLmmycxLgQqOam;EKKtRK\\wXxMcAxNeRqMj;Iv_@rAQRwYnkmLJtYixPVeTwUtAaPM]w^iqv<yaeNAuWQLpBmNslPILTPLrkyWHPohHQapuemue`TFmynDxPdkOLoTMN;UvlMr`tuhmOUYMNYjPxvidO;UwGpXKHv\\es`Xw>QmhtpKHpqLMCxO_qokEk]\\Ll`kk@RDYjQeorXOuxikVc[g_UXbtHqXX]ivjTheKijDHaJ?k=v[vpasw\\rvwDhmgag<nwyAZ?Xf_@ls>aTp[YxxtIqsvgf^ovvbdxbd@eEXun^t_xdAXheNlUckcdu_b:GdnmSqSvVqdaEsnAGveIeUUdQtWQWMgupScAGYEMFS=xJer_=Ujog<wEZGbDmSRwtLChoUUg_gIoVPEE<WDaurp_vQiX_QfpgUd?gpmXqOehGd\\cuPQh>CeaQsWCxWOrZaUK?CSSV_MhOubFKbm[eL?HvcYMaErYi>utVIhamstyI:wrlihqOFwKYCod`cvgsCMUUCIFkODagcQitHQy]WrYYEYcCnSWEeu`UbFMIRgW`ohsyBH[rBqYcATdmBlIYIOs<yI:KBXovv?dyKx`IhhMbOAessT=UcomuBWhWgr>WfX?ry\\qkutv\\TX`KMapeyXvXWeUkeQnPLYrUTfHvpTjbIM@Yw\\xY:\\jmYry=JnYjMyQjemy=j<EQk=QtiXTetOhWdXP_LunyLs\\V^AWyeKnHJZyjjqmydO;eYULWyxWmawAEu<QqDMP@eLqmp<\\LVtvAPundxiyJxXkNyohyoXmWEYwUXm?LqlPuWEYGil<InIpSItmkEUClt]tWFxVJdkEuyBxvAxiJY\\Hwy:>rowYOrI=IA[yy;Ry=BGYIyIrQ[Ye_rLCDwas^_u_aCBehisBXiROkeSyWWofrqRC_wPYFg]vEgffSC\\qxiwgfKCVuXJYHQch?yF=su=QUWUuWYUXOCQqhTagT]xlgIiigpGSMavsmclKtimeX_RLoiQyI:CvV;ty;BbGSayQ:iXyMkyDvV<ty<wCt>;@ObW?DB_GxaErqUQACN]HKGXYOcxyHuUxRuSpkURIva_FByUoWgMkuuaDXyEjwV?]HbghbIFOkghoSpuxYESqyX`CCe?evMVq;VJmxkchSify]RmAby;f`ieyArekYNyQ>Tx:yY:<n`hmyGZQaybNZE`yh>x>Nqhvm]psEi`WpkV`h>ybsxsUhg;I\\ByiEHgDNsrO_=Y^Nv^=y]>^nI@aNqgGYtd?hdyudWgfQsiV^I__EOlkVxi^[knjainXwy:^J:rt::;@DJ\\UQi>xWHjvP]pWosWfONsj@egwwDybd_s_IuZx]lasPh^IHdIynOf`IHjvW\\e?vSaiZndPiiX^fKh^<HeqwgLn`aa^tqlsIkRvvXH_y@xH@gY^x>Vty@xWvi<ykrybnv[tQZcwurq[yHv:?eIyk[yh;pllYaPyqtpl_i`UgeY_sL@ykXie@iFIg]Ni_I[FNaX^qNO`v_^rqivWaHvjWfu>q`jYk>qkBwoD`s\\NqVyfBxqkY^P>wt?fqg\\gxYK::jy=J<;J:k<XRouM><yDyY:LRPmuR@quhs?HLp<PK<x>XjfaWgllUmQDlOwYYPimyLrIxJJHwKHwKussxPIpswTTOiSkynfuXHmuNyshLVBqw]tnDIuy=J>::Zm;:FeF^vnwa?P]VwaKfpwWfK_tgxvKq]WV_uq`SqgH`iEAaT?`a_c:^Rmb=YteotqqGxmDv_itwyDmWOYr_mUXmEsqFa?xuiE@WFs_CWOCrIUAYvBUwQyI:Cn[yY:LY<HG:NY>YfbJ@\\V_iw>xOpsIhg_`edytmXuTyeUouUI]iWsvv_;^sD_nye:Ay@ueHGieMiQWBvGW`AEekdPuD[aWoIiaqE\\wUnevKsV>Ys_ux:_rPARbscR=wyLb:;xIrY?@J:rydJT@k]pNvIPjipYpJh\\P=Dywht^LySMtE]UXyWSdOB<n>ykIdL@Ay]YxbpVryTZIOfhXuHqhlnriPwPQQqSxpjniv\\mpJEPOxq<ER:ajHdQIip_tyBpF:J>Z:;JS]KvmuD@Xflq\\TkXyPNan<\\Wsmv_QKe]VQeOT\\w@eLApK:]xylmdimyTRiYjU=YlemDpU`=ugiWihvx`PStOkDhsG]SpmsNa=xlxwr=pkOyfxI<b`:>;BJ:>tDNayXrIVZdGuqvxMPsIQnCQnBwugWaXhtVIa>nmqoWYytox`QGYWCvWscUEeqTqwdMAcoUUu;ui]bQSuvUTfydDYtSqB?_bH=fZQsJwY>U@:B<JZ:R?OvR=y];fK]g?KgfOSlcr__DC?sr[reoxNEEjMrnSUaKdyiiB;wy;R[YDvmIucyxqs`MfU;yncYdcC\\_rXUHxewSiD<YddeRQUGoUeAevcyI:KrsI^b]ZQA;jI<YA]qytY:equtI>nRwog?xaIrJwYGuiqHS_vrYDoyXOWfrQTe_xL_eteDscvy`KO<qspXeLqaDJvhl^<Y\\tQ@TR^XtbIp>ETBlWhxpplrl=yg`tZmMIHt;DwCuyBxfyEnYbMyI:ZyFvVZwAZnywvuQ<TP@MxYjjapPqTkmUeyxQUlTauETmUYqEhYQ=LrPTrxt:QRN`O>XVOpqvltwyQ<yw@<xcmXpQoK\\PPmXGUVCXYLDUZUpCdlmxt^=L@XROEXTyi[a]j=:Agy]rmjA:b:AXGYS:kyO_Dg[g\\qIPsgaAyMkg^?iqeyuMVhiT^OTLify;clEHLIhBagbkyL[isucHGXlqTs]GfudIwxQegRcT\\EsvAuHIVvCwa_si[TLeiBewI=IAZn=:r=BjZ?Y_IojXoZn@qoHqpXqLHagihCgxB_nuqdBOmoWur>^aI`Bqalq]xflTwc>xeH^nJipWg\\aalSQwPGxTQqUXtt@]]>lC_]kv`NgkY_^iFqgxgrybvvayEJusHyaQmyk[?:ArnyGvuZ:HpJinpPldxZUioUESiVlICoaHiUvBxqPxiiIpVwvvY^Xx]yAZZp]Wxy:>JL;@xy=JwEjnjY?BKIyUvBZiuK]FcyumEyiuiwQCayI:C>^:yGvr]:;TM:hjHxkBMty:Kcvcs]mIyiwy;biExVyNA]AdCxDyI:K:\\x>Xty<XWj:HpKEYTxBbitK]@sy=jYTsy=ju]WQIQyAkaKbIKa:vAs:@:vE;GEceYGT^yAjK]VcymmEyiuywQKayQ[a=dIriXNxILIKJU<<BPJAyR^EwY:cRXorKsiyqty;rq?UhYHxIDIBJj:BDyA:Z:TnuyaKty;raQxYqIu]dwuuBfgyAZiEQ:<D>JvI::;\\xys^xiIiwyhypuxwS^yqYTuy=:W?Yx=>T:::vErYIenyssgyqwyxpqI]>hwyhiQGayE<Jn[tZY>Xk]:LywO[d?osIaWtyrvqyUyqxdRYxVL;h<::vKl=<><:V;`WtyrvqyUyY:teYvfL=f<:oAkqYwBtC<D:EZfQyA_yxYuyAZYQfIXpcuvjxvvyFvV:ZYsbwaIJbI;:?rkIdwuuBZiuKmHwY><:a]H@I:YobxiB:KAd=@:qiI]^y:HTpey]:DpVsKs;;<;R:>_yE[::;>jI[K;:s<w>;?<BxAbxBxxe:;CgwuwgyI:wOrtMYXuVIriDMfap@iTfqofpQIMp:Ary=JIeT_=VHxREunTYuy=J>Zb=DwIpJvmQCun>YTllsywrtxy:BQEclExROHwyE=oHToGZyWnsu;KWTiiBGC[oWFSubeBC[bMocbAynyfPMIUSUgqvpUbNmEWMYEEyLKe^wXHsxBSxtoCL?d]yU[YrruDX[yqIvy;j=XdZuyv_vY^xw=n=YxQcYWIIwUWIiG^_eaiuVUUdsTQMHXsuI?yXmUsKdnatTsEvQWxMUfMDNKTqcW:]f]cFpcYueDskg]yXKgh_QDoKDSofyCIler?guqmfiOieiIHABaihbyQ[Ymjyit]r]EwYKZly[pq]WxrwYai>yKgw]?uVwnO@iaPckqfMHx]^dOapgO\\ugteGqh^_hAf>glJ>ck>q^GxZvvVqheIeJNurqwuf[<?rryfQolQAdV_eAa_dFvBH^=hyha]K>l]AlIOepyqrqbvhaUYbMyjwYqi@yKwYKrqIviKy;IwAqyWyDvWw;Gv\\iUhYyNWht?dDWCaqdOgxpqxR[Fvgu\\iucsEA]IBexrQtHMirqGhKTAIF`MGs;R<ARbmY<IXcerSIh`wt`=E;Gbk?hpcXlIUdIbv?w<qg?_tRkcbqGdEdJgsKYF\\OwtcXWEsbuU]Yr[yhXyI:wIhMuydY^PsdySQAMaiPD]yxXyQyY:hX=ysy_nCheO^wkgso^llorLH^tH]Q?dDqiA_a=xtVpdL_u>XdPixeiad>igavqxqv@qnO`R`_ggk>Il>AalNqcHyJ?\\@WiJPb@@^[IteQyfvsfolTim_Hts@f]Vyv>wva\\h>]vIuE^p=^mk?qk_doh[TnygffowmH^ecqxQvggg]^Xwk?gXW^TVaBqkDhjkO^npksg^UwhwfZkOuQPru?]vG_wgnR_s_qefae@Pk>v`L_bTHhm@cqXpdVp^ql?>kY?mHPaNIjWyoC``QFl<Ngpy[VFlSnd^OqBXrn`gAysuH][FrXVnaNtYHhi@wjxbMn`g@f@YiQ_qq`brpbu?kOW[QHkmGmQNgMhl]QZvxu=?yqOodoqbvgO>i<X[UnZQhdHpxGwafIh[QrEPd:ajK`t_goHH[`WfOpf;QsNQuaPreWqCypi@k[fkxotQa^sO\\=vy:v]LosJfZj_okF_L_ekfZ@gudHh:g]gxxE`puIgn>u[Ytoim@gcDwruQbB^of^cFA^sqaaGyQxgtarR^a^YyPwmpqoQpxp`pxatjXyDWs^apyFgGWw[Vu>X_VpjsYt_YwmyobxsWnorQ[UWyIp[EavrWfKO]@?lnnvEPeMqe\\q`ZOfwQw?Ffnpyai]rqgvXhOxa=igG_aMgnWQuWAuR^hnQqXPt[iw@fxNxu;whNVhjhghin>Yn^ArO_ejasbWZJy?=TbkD]uxToDWyBCWg?QDdeH\\QfC_T:mSUqvP[UA[sViW?itL]yYIvEcypUeKucPgx@qtb?rpQTV_CKGSTAWP]r?aeVkHUUEICY>WfFkuTyG[iwo_dKihACcZItTYigsDLUcAussUyeaEg?Clcb[_R?GCJkiDOBrgR?Es]?XyOdpOHKoboovnsXtASLmgCMHyeGZoxPqthGxGCuLwI]EgVKt@KHB[x;CwpyHpsTqQtTUuYQEG[I]QHAatBswRauESHb_fIEuDaVZ[vKsdrGbocYOQUcUuSUtNGeyuDniSVGy;=xHyDa=gj]WjIi<YDJQu:?haMr[AhxGv_iE;gHuSUscXsqFSwrPsTgsxl?sf[bXKGJCwvwvbkR?YHpseDkEYitSSWQOegigOgygMtEmhamxmsf?=EFSScSHTmI@ChTKG<CB=aFJuRmYI\\cyLAdR_gTgdmiYu;RgKTSmd@ed`ET]CCNWBMEE`YrFeV@sBoQbruFIQyGoFTaWogCpMTswxQeceqHDqRlmD\\mu\\=EVWF[_FFQR:oFsSiYobQotqqhLofiwFRYVPAfO[VIGVtAtj[evSSVwCuGTcCcDqD;IYy_VKSeQku:OTiYe?QhVgfZiIkQCCycUQDKqYKswEME?GBFUi^AXFgbk]uvwECArboWocwdMdPqRigdjwXOOScEEhCDRqDTsd[;cZQdcIbVQyo?SdQiQSCvgH^_yKKwToEY_skaU;SWnuecaCC_cMOYfIVQmHMgVlCC=;rM;tTeva=YoGYcWwtobsaWdMyWib`WVaiUTyr_?UjUeQqET;C=EFp]gp[GawV<YB]]iNYSZeCLSWeSibcHGid]IHNWfyWXPciwmEmyFUWftET^iIVCwbKSpSfZqwfcGnIrOYerub?]D<ueN_hqmDRQU^Crw]BcwgNgr==SMmh<gcGqDbohVGd=Cs`sTn=SgirNQePCeWwYXgwvwfv[ca_Ev?EqWtG[iVsFfuChYWIyU[isSAxwoC<gHuwwk_ePiU_SwqWXPCx=?R:Gvkef[HvqIkWYJFPvQIKxyLGLtEEp]=oS=U;iQnpxkPrppWEpWE\\WZ`O`tL<AST=kFEY^YLsTUd=v=XowDxPEMeAvqLJWpRbqPcpnLDlTMUShnLDVTdR_itB=vRxm`us;qm\\eoSAY=pRtTs<QqO\\QlhuBAT=uWkANDpXO<SI@lG@P@eR^PJR\\NjMYJtSqhwZeq@yr<My`Um[EoRiphyMgppbLlVYuBATx`sYUqdlORDxkHY=XxH`MOYkYmj\\twXukPAQNiOhynsdl`atvhTWTVhtNmpL@@Q^etv\\m?tLrEjNdxg<lHxTuUy=UyghsQqx`yLpUwZqJ\\yY:lp?MpW<vNpu>EV=MjD`vFlW>\\v\\qNEhtLivvPKHeqHmrEEMQ]XJiNDEM^Tm=Ple`MJhlKYpwmtADnSPXGYK[qUaxN@\\xKEoWAUTyucqTK]op@p@AX@UmnqK\\yV<dR`iwLmPXlpS@VpPxSatIDv?MobyLTPVXQu;qxEUOSmMeUY<]nBQNp@pRDRpMVsuv_]UHupmMlC=nHlQItLrmVmqQGuXI=UZ=yJauwLSB\\NciTD\\OlqlT]Wpup=pNLEpQqsgdnsutjdmLEr_ipGpNrTrlYm[dkRUom`kv=NO<vC=VO@Nleksqq_@xdtxJyQYXtu`tnpjutmB@X=uWmuWfyLC=uSuQoQoB]W>=WxmvZlwZAr:\\nXyM[]Xy@vpppopqntPbepedq:=Sg@KmMUAqRC\\u@DsEdv\\tpv@Os=x:=nHduodQP@SfeuodmotLKQVp`SqHXKLx;ERKXxu?auiqe>bYNimioUGvFQyxHp@BdsXtUBIKvBug]QRT=I[=rFOd@cSLcDLmHUabGsYuatpyFJ_fp_XLwRLSCUuHqWiSqES?ULeYC_UM;rL]vtGtKUWJgyHYcxIBpyErSsYsYMyrR_wy;Bbuu[wi:Ixy;Bk[H;miAcGSoEoyrR_?:Ftp=:<ja@soU>:BErA::<G:::@G:J:x>::S;y::Jb;::jb;:<ja::BErA::<G:::@G:J:x>::S;y::Jb;::jb;:<ja::BErA::<G:::@G:J:x>::S;y::Jb;::jb;:<ja::BErA::<G:::@G:J:x>::S;y::Jb;::jb;:<ja::BErA::<G:::@G:J:x>::S;y::Jb;::jb;:<ja::BErA::<G^dYVFYHyAFuosy;rmCwYsYMiCM;RT[X;=BJ_BRKC:YbqMHp[EDSd=IeryDyqepyI:iheIwy;BcYTKyb>yI:AiqihyuWWySy?cXQccgfkSu^=ywwxiyI:Wg@yey_VCcufyI:IXmYVysuypxVhLG]yxXyQ?Zeua<JLarhllyGxmYfyAZYwauqcDwvPpvBhlx?w_`nYOqc^t:@_\\Pk:NcT?_ZPZD@_Z<::::DSEebbNN\\<::::R`CS\\obu]VniBHQHAYbm;vAEtOibgCu:gyhWuYMifyI:UvASEgyI:yvhYuxsyiAIJgBDOwylPTyI:ItpUsIIiuqhyyI:YCx[X;OfDywpUsI:FtpYsIGyuqpyAZyXsxa`;NfDxopYsI;ZwOpMqyxgwyxwlyY<JfDtOqYSIG:x;:BJ::j]:vY>T::FT:JT@:::pA:B:::b:_In[V;uXhoiLywr;\\`Xo<FZA>^:HgNUNED?:bN_Tn;D<oSouuGwYJ[XYCsy;Rn_XO=foQWtygvWrZMyCtRCMR:UXYPly=j]quQqYwdxydY\\Lyb@yQtyXpxyhxeIoy=JcYLKeunlPm`VYxkxhxyOy[ynyAZcQ^QWcy^yv?uyAZQysxYtLHqixjYM:tYVKw]^LysyAZYn`yfxmyy:^p^ao_Fq\\h^YOqcRoqibufN=RKcBN=RKc::GrWMVWqUQABJygoYiOGeg]G[UhDCXbsFZ;dj?FJIS^cx]wToGtqEhXKdfibPcWd=w:Qck]gticOOym]wJ]c;mSQKt:IcekUtaxFkynEdAACvwVd;w`EfgqYYmw[WHTsGnsvZ_V`qr[sB]WVgEHXQWrGycmUruXNScEcC<YcucutqvEaWpKUdQuUOshCCd?BgWf>YdFec;athQBnQCD;EFqs`UvYAtgewPMWwufIkc@mSCmd@ee<Qx@CfWwBbqcDyfJ;dt;DeqxIsBx?uvot`MDgeXUIgayBBKXlcsX?rlcb^QGSgGLqx>IE:]V_AY@AsasGxMEIUi>YC\\?dpmtk]UAUvfkX=;wLiUAMxvmFQssa_S?qC=sUUGhnMbTgry;r;=SMWSUOsU]rLUC_WHS=ew;dfIUUOIviurEWtwiA]wZsIPKb=OyIgBXotLhQFmy^LTTXMLlTAtlcEKBAX>tovHVSxTkIM@Qw`INfDWthwOin`XNcLUT]UXAqHLucdNNIwUxKODjv`MJtQK`u?xu=EUoYOguwOeto=kaatoemlPX@Ey[HPS]Mg]QJiR`qrf`wEaJ;DrLuvpYvDykP`PvxS[yJPqoqyrchOvtPT]YTiwtiPsTx_LQFeVXTUhUMYTxj`u;mrBPRjESbYkTyNE\\PUuQH`ueATWqN_DWi]NkyPRaVHLRXuR>et>PP`txDIME]k=TLKAurus<MMSput]VcML?QxpLT=uY^PS<ur:=w;hKWUMdHRsAU]aqZExOyR=<niyjPmqKLlrmMbluQhlGQoO@m_LTV=pbYx=`QcXtVtv^`mm]MWyV[qUS@YCtw`mxPlXKUssmXeyPjdoG\\QqlYUasDHPC=My\\QSQTSAthHrO<YZXJ]f`jasPWtGgheXeS?mTHwFwdLN_Bwu`OlR_vZvf`Pfvo]xitXFm]ymEnucqlTykpir_hooxuJppiYhv>g^Gg\\GcO?bF>hUae^_]ZOyFX\\Eyuvg^@Pvr_stWwA?\\vx\\rWyR^upfuwPr\\Hv<ij\\fc^hlaN__phFFnPxs[ilGipfHxAQvb^qUisfFgQngPyZeOuohoo`qUxZS`lJXkN?f>Qp<`rOngj>jfyy:Fv_>xcYyZO]hAmGOlmhuygnanw:oh=wqA^klfltIxPePkyjAxWoCbaHbeXuwtOGV@;WVOCUmg>mUbCtKySHGr?KXuIxVGX>kYW?BPoTJYuXWecchtUS`Sg?ET_WguAsaWs:AbvmiLqF_QW>ayD=s:;BxgueMEdUgmSwfudq=xRQBqqFJuRKewpsxakfg?IA[GQqg?qrJasHaEMWr]ITvgS[QWlURiWvdIUCsHfMbyOxg]RlOSdObM?TFsrUwD[WVxAc`kX?IiQ;BvUbyAVWYrpeEDCmcQyFtlPEpgPPClniIPEhtO\\UXHjF<svMPETo;lJDpPYdRXmJb<Rg\\LK=R?\\LK;:::BR[togWJ;FBuhC=tAoTYGdnIT?uH__fh?WEcHSagG;rtQIJPyYHKvIPaTwcQNWaU=iMeQOuxoSim]<kkPrsML?DoXXv:]U@Ec^Qk`y]\\Q`WP\\eyd=HrqQfTQrmFiuoxPpkAVclVqLadLG[Khmqgg:?ZVqkuHrVVwdOyxvjb@yqxckY]rIm\\PlFmK\\U:aLVlXlaQ?YTvASfhlkUX=HS]eslxr>Upc]SvdvhpLPTlSlLexxnlls`N]Ywt`sIPLwxtJ=ltIJBTJUiTkyK@`pe<SgdPwTsFQpXdV=UrGTRdXQ<<XjxKytMTqy[lObmlTLlcuplErOXVsmYVmr@`sU@UbHolaYZ=LEUVu@JEewVddPYm[i_]?dqhqNqnnPm\\AuIF_xpuM?ZVnkO>rvVxBa`GycIGtirtuTVsGKAehagpUcOqCd?fKEwioeG]vvmudEVUmHj[tOMU@;G=mcY?sDMyOoV_iF[WcaQB@UXsAHQsCVGukCBe]iZMbV;iGeH:?RN=VRGxXQu\\UhGyxKoSe;xgiGg[R\\oVL[DDEtBmsI=IyQia]ikmVR?yY[gkseSoIQgtVmesqcWeg^mCqYB^KxfAsZ[Gy;xYqu;uvbobxKHvGYfEwMEgtihHUUuCWt_GTGg_gcOKiV=tr;CrqIA]BJMbAyWrMHGUxGatLqvSaGoCi]qSH_VEQxBKdFAVZ_ysIruAUAWr=eRZeuruyAqiMqSMYCLmWoACVAuG[bj]GkiW;CIL=YEGC:WCnkG=[eIKUvkGLUrHoDnsiIwUAYDryx=YxbMEvuYa=EgGCSQBU;iZaWRwuvAW:;SwEU@ACCgxjUfBYs<WW[EwtgexOtKKUEUScag`;coOG?OC`Ahu]DgWR:CBVoCnABiqbdUfVQBxYIWKFeYCwQyfMuW?bhUh@yg__V=_V;qbkmx?Is:URhyu[IsXSioyI:aijYsx;yOaCrqUQYsjoB?oEL]iFOUFCDmAe^=Yu]HjkCCyRDcTFICEkdZCXfCc`whyihnyGtISSyI:yunsIT?rkmXeyI:II[ytw;xbSioyI:ZOwigiieny<phYwxwya@ykgiI:>jffiTxuxAi?wy:^iDnaGygyAZvN^yAZxhZQoyQQTZy[xytL=:?::::::Y>:>J:^IAVNgGZkDQ]B;ydtqFxIRbCgyihn:y]dW[wydEWgcftoW_l^cF?ZMvnvv]t?Zaa_yXvDyuxAq[xy:vr?wcJGeyAZAimxxaaQly?w\\vne@Z\\Pkb>Z\\PK:FZANEGwy\\VWxJLySweM_<UWPwxX=J:rNAB`ky_yI:wbwyWwQYdFwMFtA_ry@yqipyAZiheIwy:>cXPkbinkXm^>yw;Qi[xi^TQSsy;RvayR<jix=OdswwAuutya[uy`XKXo^LQ_pVnhYLPp_<r`EUUDQ=XvFDV;AQCil>tPn`rEuX?QQehOL=vxqvmypvIqGIwxewiPuQlyrmuy?rsvqrQmJ`_KgdxatyXx@YxyAZ:nvyAZ\\AguQdyAZIY]Iay=VmyAZC@nE^\\Owiox?]AZx^ty<:Dj\\Qkipx_xivvgy>xHvgxq^Ihpi::;RfEtOqiN:A:MvbUyLyQX:>jaNnZXyLwY:FKJX::::M>^A:::j>;s;:::FKJX:j\\Qk=dwEuYvtwy<XHxWxqnIdpi`ykaqy?jmwika`;faR>ox^ty<:hI:R\\;W<KIdw;::::Q:Rv:nA::?:JX:vko<:<::r:R\\A?l=Z:`_K;:Zu=:`RJ;FX:t=:Z<:BI:xB:J:::A:MvbJX:>J::jw;:MFb^j=^t`?nuQD:jK[v:JM\\wImwi\\vb@uY\\uYYY^]TyLwY;:::MFbMbgIswibvcBUYduYGsOsAewE@I:wCo::?RUMVyEHyEv@arxQVxOr[UyLyQX:vK:Z:Vm\\wikwi[nb>qy\\yy:vu\\FnuQdyumxf=ZCXNBI:<BrxCYN]wI:::hI:R\\;?nysa\\fwCYSy_iDyRgFX:tMd;:D:vy:nq?W]Mjy=Jxdr=qHl=ZI<:>:jqAS]LF<jiKcrmxf=ZCXNBI:<Brx:[FdwEo::qA:FkZTtOuiox_wA:O=:bRxd_xy:nmqvmryZqvy:V\\AOuQ<Z:>EQoNyqmqrmuy:pvy=J\\Ag_xY:BJgBDOwydpi`I:pqNyA:<w<dBo@:x;:j:\\moQOtywvYjZLyCyY:Xn^hNuMu=py`XXy;]xcQgeufUuRAWroqSQOT^mFQSvZKHrax:iFxivyt;J:`xCjY]IvOxiB;ZquyhHyI:C_WOhYx[xhxyUy[unyQtAsOPtVQskAML@o>tkfLJohjp=jjur^@VyaXPQlVo^ffuEO]CFfOqkwFi`AqIGkXx^Pap]Xf]?n;a`tpnTnw\\Y]UGciwcL@n>pbKF^_O`CQxFhjGNp:?]KNmDIxqxkoq^jyqChhIW[VAwJWeSWutHuVaeVwy:^nuhyOpgv^vJO[tfjvgZaqv@_^gQddngA>o_gqHgisVngfy]QyQymRAiIydxItUhct^gqvdQN]npttVi^`k]Gg\\vmfOs^A_SQ]>_i?Yy>AowwrENmvv]]ikQ_rTo`iHix^ktPdAinpVn\\orNwhBFdDI[JVaJVrb_^J@nVpolf[:vhuYmvn`yO]VwpqykeqeEGvIy\\ryjG?xXymoGoWIbyGhbXug@sYHdPio^QjnnkRysZf_>F\\sa_Wy\\xGxKpmDXhovp?isxQ]Mips^wn>yix_`Fm?wmTYmjgkffb:Ih;a^igf<GhF`]kat:Ni`pvxyxeqbUoo]QyQQkU_yHGxGnvwphaNkDqtUqcRgwhgggov@vbrXyw_nh?s;GlkOp]IgWwrr^aFPjtfaqvrtpx]HocQ]OomQPnwnuk`\\q>dCqxc`aU@i_Pj\\AfL@vLVti>lqO_ZA\\]A]?y\\=Ntqv]iIhoYngVwtyy:^mxg`\\Qiqpkvfc\\i]]ocu@xVQqNPam?wGyh_fk?hvvPhCA_@H_YyxmXb\\vlGp^O?uZxft_mHX`e_drYk\\Ycgw\\Jwp<PuLYvfQuKwy:Fk>QhAo]hO]>auAQ`]>qf^\\lNZxHe_flIa]bp_AFph_g<>e:XiVxkaAbgNwewroyeCPq^qy`VtngaxvuG_pUgoDGZW^tL`vwPqYibgO`jpsZIe^XZ_V\\:>`>fmgXciGxQOd=HragexyskPqH@[FfcVvtagwlnsfNubAcD?oYw^:nbB_e^Y\\Ua\\Vw[YWsy?ixaphogxVfIiqsoueXvGyfIomhQswW`@okhQrkoxGyxfXfBOeRnvFvZH>h_fdaGZ:X^pOrahvEYlAQugqjYX]YWeUQsqPmw`vPVd?OhvvrBg`^^je@jUphsQhd>Z@VvmPlENZZp]kplxIxwAgEyirSgIHywSvXx>qx^EscmNCTmHYPNATTmuQDkLYVFMJpPxyTwN`rSAR@EM@EJAdQPywyxvXYTyUjyTYD@JUhowYvtItPpIcXHwwy;raquMsI=yQp]l`YYxiYgyQjYpyGf:W\\_wqvxiTO`Yquyfo=WmiIyqapyAZ:ysxQrFxuy[x=Zo=:::::::::nY:fX:::::::::Zx=Zo=:::::::::nY:fX:::::::::Zx=Zo=:::::::::nY:fX:::::::::Zx=Zo=:::::::::nY:fX:::::::::Zx=Zo=:::::::::nY:fX:::::::::Zx=Zo=:::::::::nY:fX:::::::::Zx=Zo=::F_mfiyAZxnxY@ySvy:>uJ_ZsygTO_FvuMFjg?gIgyxwipa\\uIgFotKasNG_w_u@^u@f]QxoyWq??r_qa_vYIXiNIdI]TvtyXpxyhhMwY_@MMmnaYfieyYoYrRt?k_xMxqQfxY:vsxYTmo=ygyAZxAQ<Jw]^Luy;rAgktIi:^p^qosogcG\\ca]\\wevN^CNc?P`gW]D`kJX`QAZL@bgYleidHWl^HmFwjDWtEiyY`wUik^Hilyiaqlpwy:VoyAZ]owuid?Yy\\PneWm_s]eeUSg=[snKSHsYtCsDkHLSEu=I<[gpqhkASC[FCOTbMB@CCR[EL;Y^cXVMtU=uRSeUURgeFcGRsSx_wBOKbaaeaSGxArVsBaaf^_ETqYSyFywiPyqiQxyO]YopSwy:vs_ypwqyYGx\\`shNkPPyHfjgW\\?ig[HwJobhQplXb]_\\[gmlGdjPox>fCOuWyds^ZKonbOexVmawgcGgaXu>vpoPkKi]\\y[[Nkr^sB_o^qgfG^_GswF]uH`GyqpHEfwihyxyEAWupSY`wpxY:xqEmYnHUALp[TkCMT\\EpR`PglQm<K<PnPHlill@\\u?PrvAqRAM@IPodY@`noXtnTWQuoeyNSYukhL`doGLQ[LpjTRsLO@@UHTKoYnctnETSlXppUSXyiMifym@pWFYxpUsiYyvyaE@`tX[eW_unf@opnpp:pnp?][`de>lZXv:Vf?HdnidnA]C`pWH__P\\pxlaHm>f_:Vhco][Y\\a_hsorpg]GilbyhVnkGWcpYqyFyvipyAZyXsxUYWwmwyYUsYYivyI:Uf?=EWIdEiVcOhvschEE[YvDYY^wfo_SQwwQmV\\sra]VHsCyQGt[s[MdnovUsStoUXiFlgspUHeqEiafossrqc=YtlahaevEqHEyqmEyeuyy=jQj_umyHwP\\qoiylyiT^_<Aw_otUxnW?lh_xuY_<h^SGjThuVFkNFfYovAnv=>jWAbZQdXGgpx\\j_`MFuUOsF`^RF`hnbmylZFl;i_mY<wfXOv^UiWyuvmyTyI:yuosITqYQyFywA:VkCWtf_`E@]faheAeZijOvbDyqmfl:GjVhxpOuDx`Xnc@Ng_Abi^_IYcEyeuayyTLgylySxuYgyI:y?mT[]hROvZUiW:XSx;:N=nmDXjg=::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::`PeTxf]WKpoghuR<vdPs^XlsYTmXK\\HV=yKgxTMCl^NoiGODfugdww`yI:;Ctwc^yEtMYDktS]SvYkX:NTxr>yqryxoxY:tOWySyAsXPkcinkTm^<ywyxixiQi[yvy:FcLNqSwy:VvdyrxqqyoxVhlGaixVyQyy:fx=ycyAZLabhply?ytIpyueyVyIWCaulaEKOTH[tIYhL?Hf]iOUvU?y<yR<Eg_yVXQWQsDiaGciH>?TvCxvQXgevQGI`=IAUIJKD<_uKeBiyGWgdQeFrQVYgdvuSUewDKh>QDgquhcDOMCVgx_YUEmGqGDsoHxCSDqBZ=XcgIKiyF=GxYFbOdxGxuWRVIG]OGdEFsuxsCSBGSJUxhacHeVPmSSSrjCVGScqocfWvFSEI=sigdZQT_sgfyH<kdOuhBmEPQT]YW[kG\\;VHmSRGxnit_=iMkVRkggqVOcXCiG>Mh;yV@Kri?uKwvHGVjQR`ysXcRUaysEvBAGAowQGFFsgK]eruRJeULCGhQuh=I=CcmiW<_bLwWPuT\\efZ=S_;R]CwyHKmtLS`truv?Ym>mPtikA\\Jimo`hQMyQndWhMMU@Y[dxbYr\\PlIEQEaY=eNrAOV=LClLvIm\\eYIhuJUmM]Tn`NKEun@Soxx@Dv]TLPLXc`VULX<LqeLjtPjato>`xcIVWPQYySDTkRHnq@qqTpPpLQmv>LlbeL]AOATx=\\M<<Yv`mVdxoHj[ySAlPtyq?lOnISoXWgMrUeKc`X=TylpRltrbAKC]mdAO[pjJ]WlmREMlI=NhLjVAyAIRtqt;pNdmuZdPGIoieo?ytSqmFuSfHS:TsrdJRPoF`kkPruqt?ij@EmmMVwtT?eWd<Mh\\WLEm@Ay]`rjPSa`wEHj<uWCUtA`M@mc<Higyb[iwIAkngg<f[eGepvwaPu^V`;if>vcU>a:F][nl>Wx[WL=FCEEPIuBCb:oSEYSLowZGh`gXieEEqcUUWuSUuAG\\wfBQFmavE]vwSx^KHHCSUMrqcS:AUPkOaiRmxlT`RtpRW\\WVAnT@WAMLP@nJDQfaKjAypIofXVKyofQvu@PExstpPWtX?]pbtkVLkumJ=\\jKMVWTkIyTfqLEMtCmm?<LB]JQML<uX:@rsUN_iQIIM?IUMaXraPe=KfdW=]OJ@NH@`V@jtffRPlx_nM@bVnZYXvWP[mqdQagQWr=QaGgq?IrDN^sG`;VrCVf=^hFvvRXryEesDf;YO=RvQsjMIrUyGwdh_HgQUPeUPwLWTKdqX@Do<=OfPu]eYTiL^el^`MF@vaqKMhSrUYiEVyovGVhMgblqo]@pNOxNAuwqnOOmlgoqp_F?k^xgHAtB^]T^oyAZGVr;ViyAZCn]Zh`pPqLpvgwbBajS`[Jxr=v[evgPxZO`[E?r]IgwFcBaZl>yqpc=xeA`cUXrDFp_frghlWQrR@eUguVO^vHh?prW?heylV^[YXbN__x>^cy\\pnZfAySWlgq`pyxTOdKF[qFlVosJ@bHwZhIcL`bBaggaZM`m\\gpfqyRFgPOe?XlSOgQ>tcqtIIgcFpDQpCi_fHgVn[^W^rOuk@nZ^]pFadYh?vl<YqEVeAfpTnt\\puGgqwpoRhv]oZ@Y_solr_\\[wiuop>ObFGmfFZAFo\\@vJoqkqwQxg`h_JAx[Pl\\quuFsoAak>[ua_Pogc@h;Ak>inSwldooqNiD`xr^_nHw]HePNsNYobFfuiliys_HhqxqE^gh`h?ipxauNQdcOlli]@?v^ViiP^uhhu_lZnoRyxln_D>ZQ_]Qgi>Nb^^dLohb@ZI>bbrigYUINvewyS_yQ?xmSmpYXX]YWymyQ]yddVNDjIUyp::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ZCIxggkVPec>igi_KirGqqD^rZxy:noIOgbYoYnrYOx<vaoYxgwy:VnLQmVyc]_\\ooZeHwyPX`hxqkL`oIXwO_pYIYryXn^POd]PmumLxiAueuiX:]awfWXwc>ZLy>o?RYxitIvaD:MiBilYfiRC:xVyIGXrieqy=JyGgyAZtACvYybOySwxindemeuKegGsQowDIUjyfv?rQoYxkwy;RnYHPQxwEDUkyFwIJQty;rQisAoYHOiYtcGa\\KOdj^n_g[PqlD@Z?geeHjC?p^om`im??ZNFd??ZN:::::::::::::::::::R?YvrYSx=rAoYxgwy;RnMyPer]AA:ncuFnw^k[gydopUxY;;\\hd>sxuPUty<Stxk^xMtMqDyOnpQAIPkyOxiQgyiQqOyQLyn\\x;;rrwxoputx]\\ZPprfWl[mYyY:tTGnyLDWa_AisIhyvwYUYHQKvwXyI:Qi[xi^HkW__yUvaAytIqa<YeTh_C`d:Pnp`iTvi\\QbyhxkIhyAZ]pmkxbWy]aip_^ltioNh_?fo_AoE`ss_\\C?gSojpa_;oaZwsfNgggh[gaHYtnnfsx_gi_qoyy_gy>xCvqrivYNuTwwvqyRyiZY\\yGxDae;XhghsSnoEWyEgeyAZYXuI^y<vgxIaAoxPXqyAZynpY>y>vuvQhH@bspt`akQi^winhxy:vsgyjxIZqvy:^]]XyEgE:JJlooIQ]hPCuYcYwyXXuIvy=J:hsyokKgy_pO:ZJp_oGq]h`CyicWgyXxuIfyAZ:hcyAZAA_xQtQ=:>sQNaVItT`vy`poxusiyjxy:>r`vy:VvNxicWG:Z^Y[WpgbgslweTQE:rIcWg::_U;WxgccSm?:::ZsNZaYeTX`VwlpqLvA:YVuU;:lk:IA:vMlIbwg>:nK:::rx::<<:j[;tbw=:JB;FGZ::IPy;:Bl^ULhn<>:ZyGG::CahKs::vA::DA::ZY::FA:Zy:r]::s::ra^YJuUC:b]:::jw;:>>:Z==nKuA:ZJ<RT:;:Xfx=:J^Cq^Vc?B::yUT::LHW]l;:rI::NH:::y::RH::y;jA;:l;:jICyZpqL:JA;::Zu=:BB::A@b]pI::[>jn:<:vRwA:ZBMhCsLEJ::xqn::^Vt@_=:jY::bV:::x;:jV::x=ZI<:^=rRkIkyI:CH]yqeqvUuyAeN_uYcYGgAJAMoEHWoYWbijwhs_InE\\SC=MA=wOqKA]K@xXVPx]dPDlP\\UYIpu]@xdLyiaIJ]`VeXjb@RAeQwPoxX=pQLxY:@WSIOoAO`mq_xY:xrwxOwQYdyinIkbYn\\yEZh\\^xCcenkXm_FYwsxxiomyOt>KjaNmeWWINPtUh@xfIphpv@urSxrNQk`mau=:\\T:eQ:iPIiOGElBlLZIpwymbxY:<vkhnmqny=JZpx]xY:@j@anTYJVDjE]PtQKN\\JXaxY]xI\\ty=JjAmKuvGuy:eyAuy;dkEePweJUxTJUT<tOtxWtyJdyQr]kbYx`xIuyKyAQDgoe<gs]=DJ]RXaxY[xI]tyrKuvGuy:eyAsi;ecEeHwcRUyTJ;<::::::::RRuU;Pnmqny;;ZX^hY=^tuxbZ`n<yfYn_w?_<vatvgtyZdyara[bWx`xY;gYAwy;BZGXcohi?V]QGtKc:YcHY=:::VnJAd>nen;Rn:ZE;:::ByRnKIDoXIEB::B:n=:LGHTnLYD@jEpsUZvEGmuny=JcpXIDr@;:FT:<:Q<::rK:sqT:::;ZX:Jd;:Jx_@xAZL;::@G:;ZE;::vBZvUG::Z:JI:Bo::ByL=y=Jc:::]@Z:j_:::X>Jxg@::J:bA:^T::^Yc[y;bN::ZK=J:rL:::I<ByP=::B:n=:LG::linjy:ND::jb;B:VC::ZA;^Ye;::>:t;:c@::sQTrY:D?::Rn:>:h>::j]:lio:J\\XPDmkHymbXvxiQGlLc\\Np=l^HPnxwoDSP=]lFaSf]rP^_PuwfZh>_:OhYN\\yMi;BDky_yI:wjYQicD:My>]XQccgaCSyv=wWwyI:uIVxinIle^nuPlR_y^hj]O`E?_FHiFPbIhlUx^:vm[axhxg[yxX]h<J:Xv`;UaCngbokAgrt>jE`rKNueoy[Vl=QmLGufntqqdqpfYyssXxVNaQFfmalFpb<a]voy[WaYogQNlp@ySPveXiuVpbHwpV<gFRIdC]F=_TcqxGgIVmgFsBSOS<]S@;rG_cEOD>AbxmYOEU:eFP\\mjtSohjWhkghn?aup=XfPxWmShunkaMCEN>QrAmMC@UJ=LjlqXeLpXjG]qsXVI]LduP<Eog\\xcHv<PspmxceoWtNqDk:@j><k:QXbLV`Mo<aQ><VVNxeqlQPvYGkix_^X\\dQiG_npOmoWvlNeDQZX?c]Oj>G_^Vhj`sZwqdvr;p^:wvigq\\No:F\\OOZnQ[:VZcQkIo_vFZ_yr;@tg_]JC`=tr>\\XYwTniWxfwajMQwqWkE^b]?lWh^FpoX`c[afEYsoxh;@kmIp@@tH^vYHbkqxc@orWjA?pV@wki^CAi_^kPV`EO^G__?gtqow?oaSGflAc=pwv@kso]LH\\;^_KFb]Ol:G]a^tuItkx`@>uu@jZ^]F>J;InIR`kyu?i=QWbstt?UmcUhCEf_SKUB[Khr=YoSU];HiCCHwcK]YssbC_s=Wx=QxNkukChIAsZ=hYWsQUY=ySMcHwQtdesTKyRyUCAu_SiviG=OHJeD_=gVGDrQR?uDpydKKS[iG?_Dpqh^AGHcymIWgMSO;cZ;wZcX>gHZsc^iykwCD[HwmgCCuneWJmEdOU^mtHmsQaGcoB\\QFmeVpeFIeWL=vpeF<]F=MxvurhyI:[y_OefsiEUETAX:ghUovLQS;[WDosm[EmMx>;CqOXqsSm=G`[B]ArGmbuOXdkbDCG>GDFqSw;gDEf<cB:oC=[eIcV:EiwwcGeHESYUcu`qytUeEgYoWY[uhuyW<udtEfAohFARd_rLcBZGFC]gvCsUUsfcDWyr@QeoivGieHEVuWWeUURWSb]UdKrWQwPoxkKWXCU;IEj]sbQcZ;HFKFR?VVqwoOVBkBSGT@Wh<AvmYgoUv\\_fWWwPaFjIytQYK;vvUtHGhyQsYqBPKeHwV_EWPmei;damrCcDaMv^SHEKFSwHM=T_qbTos_MdIcuAieHaIkoX]IV]sSQiUyUW;Si`uDkGxnGtU]rLsbnOCPAHBCTfcdDQYhuvgIuIkuy;B<YheUUQ=hgWGr[s@sRZMi`ADAwERavlUtyxWgYMyLq:LXcmybtUSypChkOqU=dxeeNSmUUXMuAU_AlXaU?ijnDLZXMHtxsMtL<oUeV<YrJ`OOUrQAyMLvS\\YOIW]hn@Ym_XuxdOhQmZINW]McdYiYKA=olLjvDRplY_ysMpWhqKhhq<pt<qsTQvdMVE@w]QLhiRPLvyHKPiPB\\MLHX>dRXIp:QyOQLBXXNXTXlSNYXx=XyLOPWk;Ix=_ep@xC`tO^hSq_[hp\\opQnZAGqJX[A?quIemo^]QZrH\\Y>llynqYjhykA?xHYofpeWQwtqhZPmiWunFuZa[jIyCX\\f>tfFr@WbpVdpguVqg@AhSXuWo[>qs\\YkVhgHItVPiwgac@hm^mm_cBNZYq]tyiwyxivYqrbUuwWwayqxhvyordQibR=igqowYuAh;Zw;::V=:u=::r@:pA::jG:fI::ZU:RY:::q:jx:::h;Zw;::V=:u=::r@:pA::jG:fI::ZU:RY:::q:jx:::h;Zw;::V=:u=::r@:pARLGg\\Kb`mDcktrwTPkFvmskaidIWOahfyunAsrkxy;R[gBRUdgqyoYty;biEyy;rrcUUwWwaxyxxVyQvqw\\pyNYty=jaMxyHsyPrIdWGyQxqy]ayU\\yc<UQaRuxWw`xy=jumwYmYqprUuGZU>oyhpn^y]iwKxvS>wYIvAoxXxmyuI]eyUdycBPWS\\:::r@jy=jvmyAEyq<yKiyaxny=jI]uy=JMxiD^_Q^buxgw`hyuxWyQwyGGtpYYQycyqy_yq@MwidWGuqyHXsyM^yY:PrIdgycyITxikb<PWQlgqqoYty=jiEqy=jreUUxWw:bbwIoaxy;rsWyIMxi?x]UYMycyyuBsy`sIDEy<?WQigq:hkK;pArEUYM:nyMYtyA:ZEhZKq_UywWkwk@AWUiyeKYQHPqETYIkY:yeTMuy;rvmyAwSmwI?k<Zq=U>jyW]b\\iIyvyKjcxNaumfuKypRyM;::::GVdIgAiV^cymyEvA?yqIKM::::wyLyI:jXxmFhYhxqCyAdqylyx;Gu?CDhygmiSTyI:QvlyI:`XeEuFptKQS:QjuMp;<SRlXXMp;lyVLXdhjNaxl=vwmovLl:LWlDS:pXoQn^XTl`PrIjgmvy=jbEWcLwuXnR@yQtyXvieuNyQcY\\IHK]yuQuy;bQo_KlcinkT]jYYytyXw@xmy=j^NQyI:AisIhywwYgIaeVmjy=jtsyDW\\nly?ysIpyAZilMGfgfsKN_wItHoniHbEwsVfhvyaW@cEfbZfnZPZDXb:gaI>axB:cgNIE^qCnYBYwBhsyYYhv;W;?G^oR<;hyIwcyI:qTv;W;?w^wGD;W;?oYxO_asO\\U>Hl\\XpvDoTlJfaKmhj^AvkyS_<JCeRRMqPmO@`YexMv=ky=JxupBMqXqOWQnkxY:@rAxY:TVneU;dJOnx@GpyAZv^wy?x[vy:>yWy]SQ]AaymIpyEjIvyHXtpo:dO?]sneSRMLFltshwxAly=JveRrDwTIQcimIlY>xQyYm\\<wD\\xOymf;>RjyLpoxksuv]yY:DjIxiGDWEbTOsmZv:>yW=Z:]]UQrfuY^SwYYxHyByj]TY]@Es;BxXKZTOKmty=JlhpI:?:fyK`O:fB\\tOy=:;@Aqy:b:Zn;Zv:>YeDhGfv_XuUcuAGZmrBIuNcRcoW?CbVAgoQFZcgNObP;rJGTVSVyMu@qxZQYtst?SFgugXairGu\\gs_WsbAURecdodtibwOVhKDYMXaaVVIr;wsQSh;idDED:iUpsBS=v^WvYYXtgx^ACvYG@cXBky^yuT;uSagoCUoUye;e`ehAkRk_F\\?I^Ss^aFjqvmGhM_UOcFfoxV[TcYy]ducMunQyiPk`UyOiqfEL^lX@XMP@y\\ypSEQ_yxOTnL<Sl<RVTPoiS>Yo;hwYirnNy]OmGWrS>scqm\\HqYN\\TAiDX_Wv^>Q]Ogpvpm\\fppp\\q@`IhxLGkOXbwyu[qkjOlFx]tpks?rAvkkq`YXvyx[XIba@i?gxS`wgh_Li`lIvFVliybm^umF_NGeF_sUgZSOpqooNA]Fv[Ywy:fxLotqwj[^qq@tfO^Ny_hvgi^i>XgSpo<FkTNb;>f<?jNNZB?ZF>Z:fwT_`:NdqvcTOeeOxa`kjQiJ_ZPQaWguGijoXtdGd[Nm_VliGumhk=qhxvy:fqTge@>xyAZFQci^y>vy:^weYZ>qdqw\\G?x`QvUVicQ^nht]nl\\Yc>_^>qj@ah?>scI]qgbiWfW_wS>ruAu:YyWyiTVmj@`y@pivabi^Iny<vipahy?fXwy:>tDw]va:bb?w\\[GHucUmBeGyXmdcMdwqVTeb_uC`SpK`Tyqxb\\uruwYYpL]YGuxkIVuYQC\\Xnmr?qPNySLhUIpPIUNbLJ^eJEewFtQjHMG]wryQxQriqy_ymx]lTxM;myC@pjIoU\\wTqMq`XiPl<UOuqYM]odaoGQx=pbk`_aa_WIs`px>goFY[IPkTpiUHvwV\\SotnYorq_o_hif]WXmgHseyxOGs:owrOrh^eaIZHO_y@kxY^eqdXV^kq^IXg[YucWdAOt_atLnvWwcb_lAq]pQbDhjQhvrOi^wknn]jGhPAieHrtxiCp_\\NlxYYWV:QrpYXTYEX]ypuHKCi?WFPoIH;S>kHr[F<UXTky]GdgiHWqRugbvQD[eWiiwXmE]_C?uE][spkdVWR<mrtUXLITCAurmGB[iqmwYWWPCw?oWE?vQsXeCweScFEDCSUvcFEArSEIR=D:?vFKhBUwTwwI_GveisIFcQiWitRgTo_BF;uf?RSUFpOGfgdRGGJSgMOtD[rbaU;CbSOHxQBLyT<OeiwrvWecudNmXeWiePLSlO_PTUtlm=xHiT:=JZIJhEScxY:@VBdpuUmudQmaTNqw_MKBPldmucLUeXQcLn\\Mv@UJ^XJ`QLVamjANL\\LJiJgUJVeyA]rTpVKhqrlJgmor]tO@llDsNHLAxRIMVx=vQmpAdoIMVyELcmuVxpDTvOQLgMTQAOXhrVtTA@QIMN^LvrlwrAOnukIppUpOeQyvtTyIWY`TWxmBlxBXVH@pBdMHAssEKhYPrHX?YUQ]XgtlWmJrhXgTnIat\\hKqLnWQu^Psg\\K^uJ>XJD@jXPU`YOE=ShiWXuSd\\VQQrD=spIlKdLZ=KrdqB@Si]uVlqqxtfAVkaMqLy?`my=jRqXY=wiQPdyREYR;=PEUNZTKjXrv`JVAjnaus\\XBdo[ypqPkXmurHV@dNE\\mk=NOeRV<j:<V:@Q?YXX@LjirAlj`LLEeOMYUsptFpRKpUduKvHx<hvReJvlWfLxRiVILXl=w=hMMmYcPRtpLUXyh<wTimGpW[\\w^ypqpp?QTGAqMTSeAUVeLI<QshWRtjdUp^eJfqouDXA@ukHx`ho[USytKUEsWpLShNnyxMLWraKCqmweKRPT:Qx=LjIiSVDLWylD\\yI`nruLJYSWqRaUtSIn=PSp<pW]p\\IuqyjmUn=lwG=RY=pmupeHTRhMgTvFUkNMth`xCyVr@sh<Nbim[Al^PkfdNCmTWlKILu:TVvIq]Ew_@x@yNc@yDdrflondS\\dm`Evf]vsUNeEULEsK@lJ\\OUAlBeNBamb`w<moEYVb`pUUKgToUYtiHnPqwZlpbeogxLHYUS`N\\og>Yjb^j^Asjo``F]j@[ePaq?jnW_iF[dqaVveoxsi?oSipO`tmaunvlLNb]G`dH]I>aN_^b>]@IcdIckVsZYcUGygfhGVgKgquptZOjOibfQ\\R^aSP^svh;pZvGlc>so_Ziae]N\\ZP[:^mrOpDytQGx?nnohahxl@VlpIixSIKHLSv>WS>ux`=r@SXLitU;wJyv`AbagGxuvcQiaQJ\\ukDlubuP@tJy\\wUeQFiWm@rhMOVMrWDkl=M?UJa@X@MYQiu^<w@xs>QmHupg@TTdw?=N>iTI@VD@MM@kAXlrtWsAUqDMHxLrErsxPyxKnIgtohMxgoOoRgrahewftnplqhf^n[@Qbl?cunj^Of;^]VF\\<hZ:NfVAyyEPiWvIu[cuC[IcMXyYGSiw>mih?FEghVeREEI@]i[;e>=uj;BMIeA=IxAWTeS\\ovn=doChb?htsYcsxTWUfEGgwGQMxBgrUUCoAYs;Ca]rqkcucUaplUdNTIWJeSk]nP=P^@kmQsLAsdMONtLpEQ`Aq_uk^tts<Vy=kW=WXQNkqPotyqqNIqPsTxNXRfqXLHR_MN[@TA`Xhtk_tMZDOi`n>tV]<jVhna`RIomEybxxiFFwpItVGwQxpQApxnnIa_Y_frOtrWvdVmEWZ[VZkWZk>lI?^QiemOv[iyexnTAecwxQFlVIwlNwg@pKx_LXqpN_inbpwf=Fg]n]ox`C`qKnnrwjSgpNixEfqFg`w`qPprBngTAa`oj@obK`^;wxO`qnxZXPkAnoaOqjAsi_\\cQy_inDYeUVeS^g^wjDAsr?ue@^V?\\MVgZ`aHvbV>dAn`xw^ToubOy?pwKXndQdwnlJPm=Yko@\\@I^hNwJ?p`O^JO^U`v]>^@Ib?yhPYhAiheg\\>ibpPcEP^aYj<P`yfmjOaiVrwpbQQrXw^Lq_ohgnferQjdIe`@qmXtXA_Ka^OobIg__pgBH];_Z;>lj?c^vxpqpEigi_\\KVl_ar;@\\Y>bjnaw@_=V`@aerOi]YlqQniyYUd>[GGyI:kYvIfyoxYKYtQsYGxa_yEstYuwAwI]ODj[wy;r]kbi_wy;BtMiDAGfoGayGkyGxiYgyqQqoaxY:\\NIeRYPly=j]quQqidexClef_B`fYx[xty;Ry[my_xKX__xmxqafwieyvyAZcGsVwt=ywwxiyAZV_`yAZwa^DGwawy:vkUx]tIyyAZTQhPO\\VItLvoDv[H_myAZYXx?IiOqvwHoRYwTivlYgMgeoplypZYp[B`aWhkh?tU_`?@bI_`tFk_vlsOf:VbK`kK@we@tyomOqegVaIwjKgiDW_E>aiimpgqLYe\\`s=qkF>jhW^;Hrwvj_@cXvf\\`yGwtoG]nWqs_pWw]FwlPglxfsgfwrAeKa^qplOouKfuqXZP^uWVmEHf:O_OQeIWkTYoRaedqpXa\\NWt\\aphvmc_qB_uGqxN?q;Iy=i\\sqpvGpaIafGvBwoA?QgXZ]ECYbC]VSKfSgvUUSU]xR]VsYvl]Fc;dGKhLsVA;hwscrWwlGWtaXQuCqoXWcv_Yr?[vvuchcS]iByaIEGdLyufsvX[t;mFxQirwRhCGpkuaUtPueBIXO]HuWWcgVtYg<?He]GJ]H\\Qte_sZ_EaksjmUU;v:SrLiBkugVqUvCbAmbg]BqyXeuv\\shQCWSYvpgBpmf:awIgLAPVZ]kVll@dq`Pv<qr[UKVEuTas?YKM\\nD`Vkhs?DQWLsvIqeypH\\MMUtGYtLLvealMaWPHYWaNTDthIJ_avuakGaKkpu>MLA]WLYjF<i:^rTxtB`iOOvuga@WeRfgfNdU>i\\ppF^sL`oq@dEA_GFsP?gE>ZmwkJhhWQmY@xOXwpqtmgycX`ynjghmooljOZX_upN^q@d<?xh@[rh^p?vRxrVii=At[Opmpj_qw[WppPksoZX^d?hdRafpX;_vG_BVqe^ouvYtTke<SH=]R>kCk;HbuIrqxgURyYy_EysiWAMSZCYvsyMgXWUrGuDPcwhQSTcyXqR`YUCQDfkrLcbZ[cB;BluWQmcS;EFuhVkw][DxEgdUhrqSUOcqqHMaHkoG[UsUcsg=cRquVqCjgdNMDSEb\\sFuAdvevk;soQWKGWT]gJ[XkGGpIx>GdBKenmX?OD:;bJ;RjsD:gCw;YV;HcuuDQdWevaSDfGU`mVsUcTCFlSH:GuRYF`[F:Ccv[uFoF^sc`Yc\\wRBqtxCig_XEYyawBRSFmMF=QC;=eSOCuMiyeGleEEWt?KwBkCtCSvgfeoF=oGq]SPaGQOyGgSnqDQOd:qTJWenAchEvjSxkWesohMkcpUVZwfrUuCMd`cbZhlaTSN`wFHlw\\nfMOKqX[@JhDJO]NctMn=XjLoA<tnEkx<uaXtgyvDLx_mMryVFTsCdL;mmZiK;@TaaQjDM^LjsESgDj=YrtipOysCtonEy_mKeyxMeOoTUqmtPQx>ewl@mO\\T;\\nZYROLVlxXJLx:homqytXtxqqZyY:HTE<tT=uTQuXmuXeRMXmUDu>XlD]wWUUVLo^]x?aW]<j_Ak^ULM]SYHLvDrEtRd<S=\\m=hpOHPXdyc<PuDoHaTHIxryTE<yAdrtiXd<YE<SwMusvi^HeE_`qWcofr_asl`rXFeEVqiW_LxrtwgN?aHf\\lWscyaUQuIhy=^wyAZji^yAZrQk[@nDa`gn]QencSMwcm?XogSJCrW_CUUvV[F:MCnwU_gCUGBXiXkieGocOqVdkeVqUIKdQmS>;T^ssy;BTYvAcCdAUlqH@mim=BqcBdmY`aeXYiOwWh[YcaHxQENaXgUeRwhoicN;F?gfJdXUXrvmq\\aMhTU=<Ys<NmqKQTy`xLaHRaHWtqPYdWcMj>LkRtvjAo]<PULOy<qi]T^Lm``mi@o]iwHtPHLMfqn;Aq>tSD@j\\\\SHxX>QmXYOh\\yFDxqHKLHWflLuYkEdwZLuDEXI]lBHJ\\PxbEu_LKSTqvmkKtjGtMKiTaEQwxsmmOe\\TEeuIYrIIveuuHDwLEWIMm>qTXXxBLScdJQEjALSj@QcQuYXutxkv=ySyY:<vEyi\\A_mXZ^@r]PZsxqgiwAoyv__yAZj=xmUQuI`I::::::::::::::::::::::::::JQin]YQBapcqlxAwlDReUvvLTJXP?PtF\\uq=vTXpwiqbxY:xs?xMxajytYK`ui`rUYmetwAXWqXL=]J<eqLlXo@U^mOCAwI=oXdLJqulAq^`WUpn?\\Qa]QC]QXQLn@U^IJJXcN_iXFm<N^;nxCyngIxyhyDNiyoyIvbyAZRnodhaH?_]AcqIZo@bwY_EHxQ@koFd\\Ayg`gvNcnViefeHVvMwlo_qlvbevrvNg>fj@abrw^pot=wsFv[oncwIkDgyEWevwgVxy:NravnyAZZAxyGxDp`rWuI@y^`xiyopAwyAZ]i`?yn?y_Pfu]nuSGeRWuAqZUXodO\\UyeDWbCh_\\@jfh[p@^<WZkws[FsVo\\:Ffthw=wrqouW>xXHkyOoSqa]h^?AmQNdUo`RguRVb@Qk[@Z[>ulnj<Ajp_[L>vLwtqpvxvdYQx_NxvigVxy:Zaoy=YjyE]_D@sgT;ty;b\\ITMkC;IuxSuWQyyllXXreIjTPsq@ycLOdyLPpLTxUALNcqW`UY@ypQlj>PK`Ao_lLZEXS`oBDOY<NhmNFeW?<MOYkILkTpqK@xMLRxHoNAvDtxLiQpDshIvqdL]IsU\\WMisOYNsuXNXT:\\L@tqr=ouxkQlVPhYyYn`Hu]yKtalnxWvmmIlYkHs_AYYAny_jEoc]ynvycAvy:>=Aekyh?eUeisL]YEEfgeVSQUeKewisNYtDyxe]f?kXr]CgEEnMBAeCmmcKOR<id<qtDmgnsuSwWPCUV=YP_blqTjQuReuVkEBWfNWcomX`mf[IBmqhfqg[GB@MgDkriifssreyGscupsSVqhjoDVwraqxZyI:@oSYvIRT\\yXxKxEPBmQ\\DYXIME`uvDpJTriAOEYVd`lN@qpPx`LlAdLx`UtDKKPY?DnRHpUapDhvoxmGxPtV]W?iOolmvZiI`lWu\\hmgpu\\AaUH`[IcFH^_walnwyF_=Nliyp`q\\wwy:V^dHu]ykta\\nxwvq]IpykfdiyovIb``bqPaYyjghwfNeNojC?vOaZgI]p?[axfPHqUFmAwZxXga@toIwia`uWewPbTYaeFm\\Q\\wNqGovBxpl_\\pDC?rFWvFsf>[cMyCkqGpWIYACIKUXibOUuy;r^[vNqDuSDgiTh_eqIyNgggOVoWSugij?VGUHdCS;kBAWiwMg[EwdYVxuugyQZyNyuVKYsxIqx]nxapRHokDnypxXHPyyqpxY:<yEximXnuycRwYyvpyEyEry;BuOI=[TKgb:WGdix>]ShoW`CU^CggYd_[CZER`KtrIsxGxhoWreuEkiwsryhVvxMtEqeLqNhNltLKAW]\\p`]N[erSTNn<JKmrbeS:\\lKMMm<R?\\l`aKJEJ?I=::Z=PtF@tbWZQnrYPXstYuOymR_J:xRFZbuDyekyevY;fkD?rj<:OKrirNiVxiny=jAiqidytMwy_xC@w]tQsyXoP:noaLLgboOdRqjC?xuyWyqeqZyAZCO<mtyHXmYfxdwsV_lQYryPy[wY_HKWg_yExmYfyI:YwauycE;]ZKqc`Tqcbt[v>cBg]DJERCUC?;RNEL:LcKAbCfbg^<kfbgf\\;BM]tLED:EC?cGN?RNQTK::::gtWMFeCSosSHMWt[El]WlmuSechqGW_Tv_gZkEtMry`mPWbGga:gvU`dkqaiym<y`_yy:VkEYqmH_YPfa_ZI@oYNcHatgqooYauXgGYc[auQxtpvjpNtVi]xvb>`vYFlTPfQ?lIf]:qo`qlopxeHpT`ju`mEgkCou`wi:^um`c`FeRgq@`fLfwmYbxwy:fmuydpoipItV@vTNmUgmp?eLF[vg\\w_^kOptVnIOfOGeRN`J^[widO@cw>k>>fD`wbnvYpply]eny]_kSg`ogl_wc<fu]`nl`cHh^j`ul@cBFl;YxmIq;@^KPjSqveXkUgnMI^My\\[Yrg`k>>mgwjpyiMp\\=wfdGira]unkAFxYVdXpwDhaiPlHvdvyrEfigGixowqyuH^vtx_]>c`qfMaumP`BVsV^slOc:^nXphZahdxptaaQPpE_`yp[aIcaPq@Pw`Ae^XtOqw^Fkq@_NHyyAZv`eyAZC>s;Y^\\fqLNkXwtCyZeny]Wk=WoG^^cW^:ylevnBpiHi_vVw=>[EpnGqmxOtrhwJqv\\`tgnooY]p`qNqaWFcqOhKIy@GgUycKpx^gmuPmfWv^^mnGso^uKisXVuBIaYWxVNndq]^fdD^aYFo:nZ:v\\pW^=vY?bDQSf?YIGU?aXS[YyEH[_UmARL]uVeEU_DGWFTEIH]blSYL_IvGrHeY?khRaf`urPUW[Kxq]DPEIpAiZMTyMUTcWhSwgUs<KDTUx;EWBeVgYCxgyAeiqYRysR_sxoIReSs]IghEtEevBMD>Md:GFpSTdAvZ=xkslYUyMdrY\\XsXsy=j<<UbQwbYknpsQHx]HXhXWuYL?kCyY:PZKiyCPvIPyV^nyAZ;ago^aExq`qaa?ucyiTvaTnvyHpvry;rJcvakYEGv]SyMcrY[XsIcyQRRAW^iEyAX`giHydkYfkmweSyM:rxaRkyBwmSLyQ;]WnLxhxY:<MmqQAYsrItrutohyCPF:tY\\Ay]pYADoy<XUekVXkylvVxskPTx]PxiPGuY\\AI:ySfs;:WVKyxvWrSk@::r]:ZK<:::hIjy[^=:::by:jVX;:::vA:JA;jOdSy;ZHFk\\yKPty=jZ_`lo_yAZRXhxfrII]yEluWVYvuEty;rb_DfSuIAikYCeygxocLyT>MeXuiicfvuHxwvLKh?Ktw?HU?UMAImwtGWRKEs[sYXETZ=V`yEwcU_MDTSw<ueMydryDyB:tDLDyZ:VvXeyPqYpYKdqOTd>QpIwjYQI;bykWTyI:oILefnYxy;rAgsIeyvyI:cOQipjYYiye:noTby_VCcufyI:IXmYVys]gIaeF[hS\\iduOVWecYKidoY_eieufTWsUEev=eFIh?_IcUfnockAVZGXPcFS[iHsF:UDLgBdOwEOWTMxXauSECs]lpljsxNmqk>eK^tVNiNHyLMTmkamk=T^ivPQmGhlNylkDrlaKpYpohQBywQXSJPOktjxHjQIlKtsXQN:lOK=tohst`o?mog]t;qyw`ke@km<rIxsEAY]AqaDSnHt?uVC]pK?ZsqkZq^IVbu@a;AsAyof?t>^lO?_oYaCfhS_pbpoLWcRI^Sov?pa]O\\kF^qVv?x^>>jk?lC^]mgdnwwK>wTijNqxPypS@`]@c^OlaNkcF\\UWgt>cZe\\kBZmT@;FCaEl;W=oeDCc`gBD_BTmFcmR]AdZyT]yhEwswQxZIhUOEeogimV?uY_QvQ;dUYCcgvDKUoAX@wRCyhBsIiGr<chAkIAGy\\=fYOVZWUewTBOSQqDiCuroelEgX=vokctctX_r;]UOSYGUeFwy:eScuIiKfEEifMHVmgaICD]I]]f_SBc;uScHS[BT?RwyBMoVIOUD]hCkuBeVO]hu=eO_dFKbFWsKah`;r`URyaXx]d[wYtsydmEwUT@itImhOytwEyTYcjABJ]yEGFgUiYiXJQtTUeJuhE;e]GYqgrMUckcD^EGZOH^]eaCvSIBZWW;stGiyMEiKqrxIgvQg@aIXiuKwgnUeEcELshtifZWXDAcgGDPCIDWyG_I<CrBSBZmutWVgSg`GC]Kx=gYOiVymyQ[ib;IR=yiowYOCFyXqyS_cuAkhPiSy?BeywuOxy;R[yBpo<:Xk;xs[yQttYd@pYeEKyI[GgYexERPyuqevy;b<yCfc?:tl=xM=uyn?o=yinSO[xY=ETyHwObfyI:ywDwI?@Pn:V?lOAxq@pyc;hTJuY[AwY]xDPpy=JyXOx]LyEvb;vD\\UHtyGhyMWnGfyMuO=TyEvbyEnOslwIyYGx]TyE>:<qVlyUXIZhXjuY[@wy:>nOwlw]]t<:JKWhryghymDYlYPbx>nQYbwij]<JeTlUQpnPPOiw?iMnppuiW^io_=nVIVMxmFATR@LJmssPn;pTRtJsXJyLY:xWhyP^UwI\\rPpttqjwHVwPOpinXPrlmX[UX=hYCMRUUs\\ljWpR_uJWdkhyQ:\\q<@nK@VgyJITuNHWsetnpL^qpiANUXuuiKsItoxqrxuK\\o[xNvMntHsLyJ@\\XyEQ`=pSxQkxufmubqsbqqKiVsYU;]jOhUJDrRlS?yus@xIQRuew@uuHAqjyu@Pvt@QHDS\\qRkHRNTRRLVHApvPS=`j^mwRtsnhqYQW;EyQppqtxULXndwimwqdvFyY:\\j]Hv[AqL\\Urys=mjb]tmlRgXnVIqcIlFHjoqNYhJv=Q@@XXqljQtwyMwmXgQvwAuAExkQXx]puyqOQJlqN=uyouQd<PwYmlAoQ@RyukSTnEDVIikqXM=<MPDxL@vF<xu<xCXVb`JOYOIlKvIoqxql@pMXRXAMuitnMxUUu>mpkIPL@sJYQa@jZeJS@n]APdeRgXJXaPjdyUnbIVnxgdS_iW>xKAvMvb[yoE^`^?vBg_\\P_H?b@Qio?^w?coAonvuG^id^t\\Gif_yuFvCp\\uFsf>eU@aQiy\\n`dFx:@bEQZIVZs>vFXj@Gjiy\\BqaAPxZxvHx[v^heiwDwqI^y=FryAZ>Xa:wvxam]wy:v[mQk?IxivjvxaZPgXp]s@tnWigN`UgkKgg`XgR_bx_fG_ZFIdk`t__\\mauOW_kVhoVopvZTWdB_nJH[nnn^@tiHoywrjxy:nojyibavh`vQg[cxiA=:_d_KXQEdbOfDGD?]TK;B?P>::::wB_[dX[d;YC]yI:CiQkwy;bXySykR_=VRyI:wRFuUSyqbEWexY:prYLXi\\E::ZOwb[y\\MwlrylyAZXnxyhxeIO`xC@w]LvY]ioxYYWQYty;BLwf\\OYc]oCAxuugyeeorYwi^LayukUx]B:UqOdSvqquytyWWyvy;BcMVQSsy;RvayRyI:ytIqiMOdjqd`?SOqibQgtgeGofaqVWGwqChCcghEVrwfFwcv_S_=Ut[h`[wiceN?IcYbHchyybticykb[Wxu_dZiIOgVxWYwQr`?vrUIE?ev]tgOcuOhBGhWAis=XQKh==y[IGy[Svuc]AvY?ehww]eUVMWTMyReUGIHakHOkdVAiZmT`AGV_eK=R=aIaUwXUB@;w=OcgkYQiuUYUdAw`qSlICHmdCchE=dhuYxivX=iW?xj;WxIey=CaitKmUrqdo[yoIFusY]_bwUeCyeHQu@Kfpqs@SWkOS?;U>gY[_s;yrhGXskBOkr<mhROF:AIiYBr=WrmyUwbrqtXGWh_HUSeAEiRqxHkfNedWGUHsSxMF]avwGbX=ROIIvIH\\CEvux]IVcue>uuIKdG?VpEcFyI:CXjUClOr_ASTkDo;wjEb>?FqUFbERIUH?=bsotQAXHUY]UHk_Vt?exQuhMRr]fB_UE?e\\OYLGWZWB?CVp=S\\gEusHbMC<WR;qtIGvGMYGSgyyt[UESiwG]sk?CKaYLsrVoDi?CJSh\\mT_kHHUVhABBOHjWsqidbeFZ_YAyRruBkit_adtURcQx<mXQEWaiw`SstMEI[wJoBhIUKIb;GcVqXJmB@mBNOUkYwjUdKyxKaGfqtYUBigwwih>mykUh<Ae_EdVSiawto;eFqfYgTrOblCWRuePOfW;RwuSdUfywwowii;yy;RnQvMUIMoFCgvFsB\\_WDGXOGVJEH:geN?vNOfswi?kdTorOAxeYRToUeIoQlTthww`NkEKP=RX\\nKLLS<yZhwBQymes_iy<xRxaygxY:xwJYNfmpyXX_yWyqY?To;Hn]eKmHTNeXyYkohllDsGpmjtLqMtnDN>IT^TPiXREMLV=jA`TQUTPLrFLYQiKpUkYHylypy=JyPrI@pRyY:xsOxqwMYN<uHpwDDvxTr]uYxpty=jq=wKmXUxms;Tk;hUK]ua<UfyY:xvDyuxeYDpQ=YFZ\\@rq_hQG[pY]YFylypyAZyPbI@pR=JftJqerjum[IpyoaPwy:vxbIdpY]Y:r\\=Rq]HQICpS=fYwsjA=:;uHowDCvxUr]sYx::BEIrWstqOvICYEQuy;bQ_xy;Bt]eoIDpS=JtTOe=yR]PjtRS\\qL<[Aqt>@jXPlNXiJIg;hj\\I[>ne_>xFin<`jsXq;y^y@u`hopgtUwZqynahhbhhWo`=adpXypFndwpknZVAnPpbPoylQpJPswGrOflyAZBve@lmevqyY:TjUySxeqTIo<QS^MuCUq]`MkyoAdXWuuLet]ypt@PLaWo@s`qjlqVTIwvXsb`nCXNSiOclmMAqWqYj<QvXL:HS@qng@VyDldmu[tlV]tUTRMTs_XoUiyO`rfIL`aJ?\\UklUWmPQ`JcDM[<rAxx=pqy=J>:xHZI@y<_yqvy:naQwiri`vxy:VvNYhMw[yGp?HvgNZaQbkYjdgs`vmfNb:njZIyGHhu^wK?q<p[=AjqOfCg\\HA[N?a@YgrqcmawlQrZ?t_F`Wiy^`eBQpSfxknxi`a=ahp?vAGj_yy:Vsh?Z@ItJhuy_y[niUvy:vmevqvQ]XyikQwyFvE>xYaYuty<XeIyy=jAAo`mNixY:Hp?IWXijTLuEYSCinLijnuTpTpUMp@AYl@Si`nrllBtS>DNCaq_XUqPOrDn;LUeTUrqJgqWglvNAx_UPUesjhKLyjOTVCeo_yJFakBiNBDyO\\RfES;pxSXm_YuXuk?<Yfs_qresi@ji\\y[lqUxIisQkIGswyrVxkY]wsqsC@XL=UoHMhdXc`PcdwxUslqppYq_emgqVL@K]EU;\\x:`yCyQZ@nKHJO\\KfIUrqkxuu<qPM]SXYML<WiyvUts_UL?dV^QvfUQBpx[alcLUHILP\\v]pkumyJtsGxIqresQixqrexY^[jyUkYqyErgxv:ucyGHlexPSFLID@KyYYwIuyYwTgafrqsmcgqkUYQRsGvgMRN[xy;rkugmwEgYHxADIisy:rrexTODvGy[GgQUSsuVZqT[CBCanaaM`lRCtUllRD@S]Un@tMvhO[lOmLyReTTUTBQqLQm>atiDoy=jAApy=jh<h:FtCieBqoUNdy=:RcUC^ow\\ED?cD]KcbOF:KcbO>:::Zw>?cIbSrQorYKXi]eycyYoYFQc:AhyscRoylyI:AGcUwydky\\F::Zdxk<q_ax_ky_xiagyieytMwy:NtaNnIHkyGxiYgyAZXOqYpyKhaOftEOfSv^=yWyM:l?;RyCcLMySyqAisIFyyAZTuOeCvqyuy\\Qi[yvYMLWwy:Vv`yrxqqykDMrUMM\\htuQNWdsYMqcdTZ\\LKKK;::dnN\\PJMJKUS?=J_::::Jg\\LJEJ?]LJMJTLSo]l:Luc\\TMIJnXtb<n@DX?QQDNuc^tJWZbwNKDGobH_h`otJ;D?eYdAwgahqmE`CSVMt>qgAOXC?tMCyDAeyarmMry<WkxmwQyMxY:HkfdoIUKZYXL=wy\\XdmtWyj?UKwyR=QqQ@knUYEXOE<KFtM_uMiixR`Ohdl^mMmxkhYlJDU=IO@=rWURgqkPaTQXYbexYAXX<yMqy<Hxy=jYEoy@YTxQ[GvIOyEvryeYCwy;brQU_kGxOWt=WKOwJ;GcQg=qVWOwQMgiOc>ohpydEGDZmYXeF`UFlWgBKhk?y[;cT=xrMic]YDaxNAtEMUCuimmVUOSQYfHQDd=STsD@mhJSGSAS;YEFsVuOHZMt>ku[sgTyI:?XX=Qw;JnxY:LrsEvIMyExRyqy^xY:LveqkKmYePwTpvWtnWAWXAl?PMquTwEpPUwTEkQ=k^lMqdkDXsqMN?]wWxQeAt<LSquTIyKHdOi`OvupkqNSessxTh\\KKuR]DYgQl\\TqDiSNQL;tkSHYuLMi@lqUkYAXX:bN:::OUeyv]cU]QdQcHYysbIxVmedmTKQCu]CG[uh=G:Ig`GD?gFRAgWac[ACBoro[iamw;KFimSRUgpGXleBuQbDQwAqW^KHtoCASvwGHTswJwXDyejm=:BT:cAZNyxXO_Ki_o@ynH_hPsdO\\OH[QVl[vZqgusQjOH]tqt\\Qx;fx\\HxI>iaya[aA:D?::joHt]qUFXYKAyA::::::::::::BcIXik:nvyAZ[aaj=::oA:::;:::Jw;::J:::r[Ihacry<TXyquexatYMdUhhQcuKDuoJ^]Q?kvxe[iuAWcuW_wfc_>qP@cO@\\@Wva^sYgd?q`=qyvr;WWSyI:]hngtwSvyLxh\\uyOiyfYHbyAZXFdwgFROQsP;tOwwcYkQfag=NTxB]A;:@CaxL?UPIsjpE;BQRyC;vKZT=ZQmyGCjkUhxuY::fdgOeeFunYqr`hUannpqrg]gwnno[kHs=hpDpmBvZSns@Na`anE^hQgmypkoI]gYmPOpMy]CIk[>peG[;vdQPdSprbilppw\\>\\_@hZxwh>iW_m`AyQOvePgqPu?`rPAtAAfT`eQAoXffOgjgXn\\Fdyx]lVqnYfqAbVNh:?ZoQeTWxGW`\\qf]@oC^fAPrQw]`?gWhg_WiKP]EIhR>dKqwZGZEQlZp^`y^Y>_afkbayQohvw^@nnTigypx>Py>PidWuwgn>Hgk_^\\@`^Nf;Xv:vpFinq^kn?^<@btNue>kjysDhhGXg@qppx_cgfgwn?ynXICMVHMeAGy<Yhf_SdCuyXoVinN`YfXXmIJqMwQDxxtOcex`DlrYspeO`XwEduHiW[@u]UlHEkFAO]Un\\EM=\\NwQXX`ugXlk<j:twbuoiTTxpndQm?`YTIrjyTSywZLjsmoFuL_\\jK\\NC<pZaOS\\oOqYcYjLxJO`nFdmeQvgiyxdlStKF=ls=t>qxqeOlhwKTVrikDUpt\\o]ujnAS[Um>hJfIjf]tQmlX]y@utg]QQIX]po<tpqYspDSfdwWdvIepe\\uu<SVxnRHTsEPbTJa]KHlRlTWuQrkio`IofHwPiw\\tRaeVuMKK`oqPkHUPnly[YK^mjlLwkXywHvDaY;As`=JuXrLYnODu<Ak]quhUwTDOfaKm<js\\YdIRYap@uIwQjyIQFJgriaWWYVxaygyI:;xewik=fcOIsCUPqxy<xexY:HphLn=ijBUWXyrjYw?QUnLyQUjnYKWpsTYXuurCIptPQNuOXDs_LKSUVHPvJtvcML\\ysOPLZdj[qJ<Yo?ARgyQmhxIHymypy=j:yoxqrI`WguurTyWlqy=jeYwy=ZOwnky_Cx\\\\QZbG_[IoYvb_FbNArQ@ZRvxMnyixfGNxwywjqoMNvi?koh[i^rQgo[ywMfuVgenVd_fu\\heiOlKQbMvmm`g<>_:IZ?psC__<_xfwjFyZ\\xiaOgVyi\\Xemyy:vcYgyGXZGgtIYcuvivQ[yAZfYgBygvycyg[HIo?vlExw_YtfPfXxcG^eEfyyAZTyddF^e>]Mx^gyiu>sxpeUonVIhAIdjYu>ylL@y]x`xA^PxgtnsoixroghVb_fk<qe?g\\lhgan\\_YnqOrkwqSFrevbjf]qpxhwoyeIguy;Bxery;Bp]XyqFeyumuviwY;yewesMeTvIC\\UCYeUU=IdSSECyLAI?gxgSReeGRSvyPtFuMptx;<PhlJqdsX`wG<uvmy^DX\\@YxeQ?\\Qo`NTDSdTMMMJfakAAqYHqmpJssoOVH;vfuy`QwyxvHyE^`ywfdwumIwiwswiayAZpi`AAiuAekqfQPoratROwlQcJAyxotdQrN>kdVem^eH_kr_[lgdlvsHAZBIdD`vh_aOScUGk]CXwfvcSfaWhiFLgVAyTu[dtiblAET?i\\_edix\\IvpEIfICX]FV?TesBjoExaXWaenWxqyQ;xuwekYHutrvBjBhYg[wICow^EXHcHIADCwXUEwvQI>sHQ?f_askmE?gTl[wy;rkmGTuHvswUGHVgeoWyiAYIYdMky_GGx]uS_h?_Ht?G`CG=ihNgBHkS:=VOABC_CcQV^IFTaIhsBjSuYGut:=>yJWuur:i@AMqlm_DX^lyytK<uSG`QTTrlpjNylHQR=pm]uyflxj]uwywjmoYiRxANNaXyhmnlmVdthiPw<RAofKQdaasJh\\qHl]yel@l;P^VAoxGtrHp\\W^^qa;_sAffwimexiIimy<:vYJvLXY<mrmJgAjCAoeQyOimg]ot`QPpNaiwe^t[fqoojWVjC@bV?^:xfu>c;qrdWgIY\\eorLQwuwgLNgivi_auGGo:ylSWyNFtdohKYe[xkxAeAfj_IyBn]Z_ZmypnVh;VwyHutxrvIyUyY;AvvEWoegnqXq;X^agk^PbLxwBQd;f]AvxexoIh^Ux^wXhxA_]qdoxvY>wLyYKYV[XakH?qe`oTJQDOEREYENIfL_hueS@eh`kC?]SOsb^KD:YbVKtAUFJIR]KFl[Y_;vmGuo;rBQI\\KTyUtNkY\\YxZYukMwZyI:OdBWgtUdNCc`EdmKbVYBrUdOOHsqShkDsgEXqhyEVMysyXjKyiFHdqpryAZnQ_cwy:>ywv]vQfc@yuarThr``ohf_oHof``UXa;ga=IuUWuVaaaVhPPl`I_A>mZOu=pZ\\^ngWmanwKHk\\yqFX`UGgTX`cGxSg^OixnIn=qu\\Fj>N]Vp`FPh]Q[lxji_m]qfBV]BHnYApgqvnWyvwgyAZ<onYxYAVnyI:GHDqxryexeBGyQxukAtySntYX\\iqVaggafKaW]gRuSYWmRMyI:QH?QyH=XgWbmAbF]sJYs_sGYAwsqbTiI\\wiBgw]UWlEWLGwu[Ud]E=GgN]WiOgkYYVQcgshKAevkXUIc^]HsYFF_tiifsgRYyqJhYX@qy=J[tsIyY:Fryek`wkyRwMKTyXxukAuiVosEHxMXdOi`]WnY^[ghndYnEIaugqe`[<GZt>qGn]SOkagkr`^[hvEG\\AXovOhOI^JAvlah[YZGGgV>lYGclF\\^Flfx_j_oSod[fjpOdAgu`G]DNaQfiy@`_iiyAZ]>tp@i]qy?h_uvy:v:jSYvILyN`pi]yX^y\\GqwVb\\quwxf\\YUECGCUisgNSsb[Wgge_acVmBsME;=FIGxMECJ;xMsw=kRxQGb[hyEcqOePGX`Cb`sbWguO]GBMUSugOcUa[VhKFUErG=rZ[Gh[VdKhNKSMgIy?xmyGsstDAIVmCvwFaIRyIvKyQFLTRyUdujOUlDitnarMuwP\\uVQNA]XhLlBuXf]NjhT;]k:ErWXwfpyOujVlprmOUYTSxvrEkFXoJ=WLykvYmHtmAEngHU]\\roANJ=OopN?dWFUJfIJ^IyJyvxqY_PqUIvPdjG`kPQNq]TlQLXUoclM^uO[ilnlm_]QkiMRLnq\\vsIjCmy\\PrSPoWlpuuKcEvyDYOXoHDTvXY\\eSMUrUIQhyondUAEUt`Tj@RkQUCikWhogARChv;\\lLlS;\\QFYU`=tp=jpMJUYkcPuW]yl@Th\\w[TpueSGaT?Ex?Xxf<SU@tDLVMiO<iSl=VChmSHKFDNSDnDmkdhyaHjnUMiYLWDXhxOHlo_`qDHT_tU\\XOS@t^TlbXUuTXe@P;QV]Hx<YJ<`QeytkypD@vKyWTeOZaNTqkU\\OYaPYpvBXmpIPv<Y]Ds@]udPQZxo_]WstNcIT;TUpmqbDx^lyolko`T\\plQQm_qXGhmfplbAT<AnpFojV^LV`Pd;Ebw[vP;BA]r:osugBx?tpydHAeEMWdMuEIWQqBdqtMKE^mF=Uu?qS^yWZsH=Au@uGJExXYh<qtkyc[yI:]G[gR>KuWEdrKvd_CgYt@IhBeim?y@=S\\Qi^ae`=IbehIGSM=UbGsiUWaGbtqyQ_VpShPcT>yvfeCeiyD]vBOhIUD\\CV]CGU[VSwYPWbyyfruxQedf[yFCf\\GXU_etGdhQcAeYFAH?WfJQgVCRZcrZyF_wr<eEBqb?wC=UtFediiXBgXGQRmODLWY;Qwq_GLgfqQuuQcvOsh;gD;v;GeDKW?OD]IyM=hP?CXyejogUCffmf_WXqAcFybr;MY<VCAQvYoS@xY\\kotQMLwtqm@lXTpXSTX[aJK`uVURrmWN]USDmJPbbnlZnZSGkR>h\\W^lopmn_x`^do`y^[via\\i\\Kygiqooy]l`^`PuNYsLvwrPkQFsPgefHrRAncYq=vnJo[pyv<qyWFqPYvQq_nVgSfhrNsNXqbGjOphwauqnee^e:NaQOmeom`ntQieKihefa<WigoadQyXQsaycrhp?hciPmDAnHGqmFiixq^QuO_dZ?q]^^`Ys\\ykKVbg?oEWg\\AeoV[UWmEX_eWi`pp@P`IhafqdlIce?]CAiJOc<_quxxtnkWWhrXZQAoih\\Oaa]Ovr`pUYwrgpLXlbopThvUaEofBiy[Yd^eR]Es@gedkG_Yiv?hAGbnswsAUQehIAS=yUOov<kFesIHoG?iF>Sd`?ufIHV?cqKR^EWHmI`eE]?F>UvbYI^DOKmuOIVyTMemTxHkQuOoIq@uphxk[=yoDJneT[LPCiovTpoXQsYWkDuvePsTJuhNILoxYxGQVyPmryn;QVEisrXtndwTQv\\MsR\\whiVtTyMEOYyWHxPAPv>USMhM`erJuRZ<PVXNJHjc]XQIo[eYaItUlRXANKuw^lkO]PEYSbLKF@KLAWVAMthvj<XutwvtMm<MUlrtiN^qV:pLD@OZPJD@OZnZDx[D?Z?IxRxy:NktWvwAwyAZnQfPgZA`yrgroylyuKMtPwIGyI:]fXAYy::ZOg]?`t_qy_vy:vrwxowQidyitabnIdky_xiAhxeI?_xCduNmp[LLvqquyd:Vw@xmyEcMVQSsy;RvayRyI:ytIqiMTXYykxhxy=JwAxMyicQ^QWcyBYkxy;roYpcESRUSm]rDuQnQtKFlx?wa`d;pceacMqgfp_fo_nWwCgohfmXPvSF^PokPWfsHmNQjRVlCysMGs`QoyxjvoakIyi?ncacX@gYHgnxkXNfhIZkxkwXxyxagqmsGaOinZ`[_@xqyjPYgSxl;Ot>ypPOvPIvxIsRFg[@ZbfkHHa:?nG^n]AZF>fNGw^HgCVnWf\\nVq_VtFnfm>ggVtBAusW__YvRvshgltOk:FoawncqxC?[m@poppJFbpAi>@`dHykWZuXsVo[Q>^WVnFXxQi\\lVrLfuw>t@H^ubk_Y[qRpcTfetm[u<mG:[yGgcHof__FZ_CusSI;GpWspUr=Stf?bGSF<UU>wcKqyl_YZ=huqcnyejiSraHVaXAAbLaIPGdcYdfIDhCV:aDaye<;v;;G:WRFoDo[d;qCxAuj_TTyI:mxm=Ym=CeSvTmrggSFmyXer\\EvpSFRqsF=rnSsMmgfofI[f`sfXoVTgtDyE??C;mwPCe>SGJAERSe:iRAiBHQGw[d:oUvOf]=EB_iqesOkesMd:gFjqCQ_rFYi\\gf\\;BioXw=I@oCQyDxery\\Wexq=Mp=IVwQLQibbGh;Ifc?]H@[Thy^Au=pwhxvL?u=>Z^?x:VZ:H_NalfpZApxoqumgyQp\\yWweyy:>p`xy:fgVywifyMpZ\\q`MpxKPlwna_Id\\pkJo_GpfZOo]xbqHZH^dw?nvwnUav\\Qoew\\JNwPQ`SQgTfZohrvpoIP^UNnqN`rfhaV[MpjJwiDfgNNh:pvtpdOYvOym>gjiQf?@nHpfv`^\\X`@>fZpo@>cS>a>fw:>x?^eWohgQicGdy?vQwY=EOKubcV=YRuQiiyerit=AsA]YwyI:HO=HURLobHtgQr[PsI\\PFHOouMadlDMKs<rpuOkqKgTvgpk[<NU]uUasBMt[Pq@QXFDMCEn;IVNxm<eOGPWa=ymaN<EUlatU`oKpMrTqwPWW\\llIj[hYwxxVty_iry=J;b<YewuxmmfsyES=xiqrWuEcIeAyfVKWnIDDib]eGVkhm]V:oxWSBqWv=YGqQIOeskigoSiQIxN[XRwVqCi]iTJoUluwb;Ut_fdMB:KGHscAGf_OVH;DioWuOy^yI:_BlYVyuwy;bwebLoit?ixoYHEygQTVsBM;V<iEsaWDwItAi\\ODD[G:EgbOFRCExywMmWosSHqURMufUi>OG@iigeHE_wD;vM;eWAYIaWP_etwWC_VTCcI]Bo_GmkdrOylmrCIS@yvIIIbWGc_hO]vaOCpMvKqdc[ehEWgwxdaUUaUdsiHqUtUiMQYXWcMyvB?TpIBDotRiG^YB@Cy:oh^QuLmfeEihiVrmg_?YPsSlCC^MUkCGRiD=UxsCua]vIYY^KyDsgbQgpmy;CsikFrgfm=IC]g^ys[SrAWTMgFEysfAxPYCcIemmy;[wdUXXYw`cVhwC=ch@?YCCe]aTVAUhed\\gF:mYx;B_?tKuedYdBogxKcwwWJKxy;B`;IuSssaHpgsa[YqUgLQGD[sYIeK[UpshImDhWxr]FlEyfgX`uy`Is`IyY?xfAdEKHnMxgWTqgWGkxZuyWEDQ;vHSbRqgxKcwrxwfYoYPuEHMifsUFGdf]C\\UVhutHQHDCsv?RuaYvUFsgWIMDIoRa;ciUdKURLwcAKt_[hJ;c\\=yPYd>IH>Ki\\?HYEFssQjYosPNIXW^amIHqDuYcAyQpY?dmIgZSyilibS?t[ithhpAitoh_s^prQvkp`KhrfFtvNlm^clp\\>agDa\\g?Zm_mMhrn_`NhnPOwPq[AgiR?nJAgW>goFlqGqUWdyAZIHdyUQ;wy;RnMWQOBXQuj]iPOi?]EXyeLWvp]dWqEp_fl[s_StqkEl;WRMXwOusewEkiwyRwox=uIAeVqIE?EGfoG`aHXQEJgfp?hqut:Qd^uRGeHwkipWhFgG]yGWCXFCvBAR_AR?ccHGS_grgWsgwR_?e`sVnmeFwTEoW\\uFH?x_ARVsb=Mrkerc]fKETKGxRQiquBnewq;sToe?qfdKrAsuISEgMD[SdKQBD;EVkEAOfWUgbodtid@eUk;X_GunWY[UxhCxxmBP?RcMtA?xJ[rOkWeSe\\_CDkG@[DXaDJagg_IgUh?AXMCEg_fmmBUUenMRBMFpaGESEbcR;WFuYbrIYeUTS=WtghXebeUVASvMEET]FC]cL=Fj_ileFIWFLEU=wVhIYeQEs]T^EDjSx`EdnEeo;goEgnSCScHrADAis]Se[kEnIiDYW]OXHss:sXourI=hiarnEhpkHxatJewPkH]idJubHCs>Iwwyt<ayEIsZEHWmC?CUN[UFytjwbA_flIxMivjoxNmHpKDCaGZmhkAeg]UnAGQ=E<II;AUeMeTgcOigwaSPwdpAxVUeHkbsGFTAHcOfKObfwF<ACdesR?C]]HV_CEsyI?WpKi^KegoUCEfemfBoSGcf?KH^eBYYy@;r<aISIi]_uVmtGwS=OvPyh=uhGUWekGn?RywfGqG=_ghGXnYE__g?gESieNmX@sxXaYQWUKmB?sD=UwHKdg_GoeYAGT?cFqOeFCw^sS]kWrAEOcdQOyZMUBoe;iuICxTedXObFKSqEDjoTDiSNow\\;Fg_dUAWWiR:KUIMsG[TMir:qbkyfvYCQyUiybySfL;Hf<jA]KYEuy=JnaxOhQ]YPyalgyruIty=jbaRfTmI@yl=kuYsy=j]vdY^jWocYOvY_yuOuyAZQqoaxy:^nIgbYN\\yAZ]quQqywhhyfy\\NieNoP`rlvcAxutwy:nyrHgyAZtAcOPtIyy:v]pvAayyLUluto@xuuwYyY:tTGxQyEcnsy;rkUx]uIYyI:UYH`ZbsOWi\\PMyvN;VNED?;RNETC;REcZ?^\\K;r[EwCwDZsFw;w;]dKihyAiYcTUyeuiSs;T;cBUyeuiK]XVyIH;RNGtojpZ:kpxATneuI<:Zg;;\\f;G<>::SuYBJ:Tn][:j][PauwHbYFdD@Zo_\\Xat_ybkgl@GfxQsM`yc`nXArNVdvHoywvNxmqIr]HsQpysGcyAZvO]sve[geqW]?WaCylx=^aSxqaaLR_gy<IHhoXDwHMyxvOxMqIr[XRqfymULjV\\OipM]Aw_Px`xY:lMLyY:f[X^dyXXYtxCynEYY?VvWYCcbictiZKivEwYsCSyaG_]i@pXga>QnQt_wIXMxy;JGmmNyaFxmqIs]hlp]NpjVP^Q@n@Pbwo`XHgY@kyNCcuH?gc_gfgGaQI=?VHST^CbVqgZig`kFCiUjUiPIfM]yYySvaTPyQjMty@ythSOMPgLpktMt\\maqytdnsqqK`nrmLIujdETdMuvttt`jeynCYOduj@mleHK`Xly=J_dR^`yU@W]huGAKxEsN\\LH=P=pwBujUXPPyY:TPvyuI]yNmPaqMT@ty=j\\EwHYm\\=t:yY:`jXxsYPy>xKxqovtkMAtoxnjiPnxK]PwM@StpRapL<XnkxLwUMJYW\\`W`Au:isYpwpalY]p<=q<URg]XtqVGpYYUlFPlcQQ^xxIXOYiqgQWA]O\\esghOW@VF\\UFTob@l?AkOUK[HJjpPLxLnHvBqkaUyqhRRyQkUtSeyyPpAtYQ@RM]YVyY:lvaQpy=J;Aty=j\\YwEeXYQj;IVWYQ=qXXPno\\TvAt=\\rllUV=Mgywi\\Rkiq^lrIiLTPr:\\UB=KsxmlasL`sFhxMEytiVntmH`OvDTkynUhY[xNUmuCQqDAPDiwO\\UoiYUujMIq;XYWIsHYRKdmImxqUksyY:PkXXSyej=yY:XK_dumhr>yY:@SI]vylWNxqrQq]]YwXYiLWX@qPUtViQPyk?hrw\\Vmeruuno\\lJ<OoerudU;<VJ=sOQvKDrVYPfaOZdXYEk`hqUHvaxj_lQflwTMrwhVQ]K@ApsxY:@j?xVyLus<UlQnAmxQYky<wbQpy=:rnWr`?InKty;B[?wlyI:ErJyq?eTWISv<YvUximxI@py=J<MQTtQupXIUpRHykyUgXSkQuXqwiArQqtp=LGaQL\\Q<`R?`kAHsmYVmISFTxl@kqUlBtyRAnZXyNIQ^mQ>YswYm\\mwy=j\\qnmxY:DrByY:PvbqyGEXpyQ^yvlXwI]yDyJy_q]XdJq_`@YCwJ]ebwhqMTSMgQsXtggFKiVUtTge<_wJSb_yQwpVHtmc<qgUKcaNHHjPAqM]YKyn>ekPMWGIqhqWRtsPTmfLMuIoMeoGIKS]nQHmlERqHmF\\rjxVFmOr=t=uv\\]vAENymvrUqrxY:`ZPxifQ\\y>ytHgMaiVOarOmByy:^ubVfyAZ=wobVtnYa_Hp>x[HNwcHvOigaVyd_scYt;Fhlf^QYuVWuOxuxFegxhtVoANu^p\\RIhXgiA^rgon=g]HykfXcr_g<RVCf>mWfqvx?dWkBRYRpKdgQURmf<sedMGa=GNaEfCyKYggufrEIQyv>mtY;IeyUvcUvEGXkw]mi@Ssi[IOyCxogrsSCGgT[ByKtPgfneI<WUkGIeoXgqxpKT\\ushWXM?V`KV<[CPgY;edS]SZ?v?CrOYg=cVhCIAKfsyefsWQyI:ATKYfyOr[v\\AoxIWky@wbGpyAZ;AdyAZ\\Yw`hrRVnTAcv?k`Mxpoy;::::RH]BmyI:CExqgyGv\\yByeJywkf=aXSyI:@DExoUd\\KrbwVJKh]ACkotYMVB_HcXyiLuVYufHlsElh\\M]\\ovhRZqpmykDQl=myvLnxPxy=jbEWexiFxrvYdQy]iybyub_LPxmkUvQltYeYWdnnpW;Tomxlry\\wfwyWWa\\Ly^\\xkCTvYyT<JidE]VIernQdRmtCAxuuoy=JhLmy=jxML_`xM>ZIXq:NaU@nAfyuQlsxqAxutKyK:dI_HQSRqkty;roKxy@WsXOXXUTPNnPq@Em_hjoLWYarPuTqTOeaJ=@QLTt[<kZXVcdx_QyHdP\\YUUAUihwf`NrhrrLQSMmB>l@GZlWajG]uwxhpeIG[Wy`CxgiPnw@efpmcnofPvZFlHVnnnbSn^<iw\\OZF^kr^^EA^U>hF@awV_[yeC`wiXfrHen@uZypXXabhg?nu[qv@Gxun_P_\\OWxFW_P@[BgZlw][Osrp]RY`YiqgFi[>yqOvuvoMvrgPwmVuSv]JOlfi_p@nKinKXga@mlpfLnwSGeJ_jr?qIPl;QjixbZykDNgtv`pQyvndtFiNI\\LI]gyns_fXYumI`u>dZq\\FVZQ`ll_[gpr:VaEVwEYebNtEGqLi\\L`d?X[^wlKpkO>bVNlIGfUy^:H[SvhXQ_jixH@pticXqnJpuAgvCH\\\\@l^pb;_lYA^Yg_l>[snfbybgHhTwb=YoO@qLynwXtn>cMvcNaheymm`bXQguVe?QaGihWPk>NtSXfBqry_hlvvEfkgWg;y`Qnu^^toxskffcogfa^DptUGuPPu`A]\\G[fVd>yqu`gZilfno;>[IWZg?ZpwdQplPQlUwbmO`<yxmVkbWb<X[DidRx^=osNYhyAZ;fadArwfiHX_@agxn\\e?trOoEydrP]GOtUoufNxSv^_^nNH]qfebNxlxoCh\\<XpuPjRP`LHbIVtx@]eo`xo\\rXt^pJwiSgf;CUhcxJIhV]ydMGhEeGwIPIeEMRPAS^KFQmbF[bdkgAGxV[TJmuTeSuEHaaDcafpSyF?wy;rluCreF=]EoWVVsFZitxQhaqSkwW?cXGusCIdgqTIQcNqY?CGnQtSeuFSg;IT]_rHEfFMR<Ke\\wWqyhGCsI[SHOHtwE;qTQASkoVUsHnYyo?ILEui?VFIylwYZerhOHreI^KhCaf^lqCEsn@rVUTvit[euDeVg\\Wo=yalMCayb<teHoKlpudVq@oVUM]MXWPXaHW;iPpXpXhl?yUbQmAAki]pR\\yImnbyqSMmOAYP<w[HQLDToAmqlMx`td@j>@sYDqgUrUtPm\\Xvpne@xelrQlljYJc@uo@wMikVtt@HxN]QgEW^lNL`yl\\VCDMYqxj]n]ux[aLu<juEjAlNGDRkQMDIvCpR^YYRhtQ\\TQHtI@sQyKvarjijgImNioneqgdPEXMuYWB`PUAoZPQOdOaTYbALWqLGxSQxOS`mVllLmuuUprhYZiWiEJrUnN=TvmvoYMcaSXhw:uuiTUqaPXavbEsSdK\\=MKHJjpLLHr?LS>hk:Tm=pPkqrsDVYxKeiK_\\ubyTqyP<TOsmLuTsAulsmMCMLnXTrhvITl[trZanOUKWYU;ul<<uBXNHDSPqRTDqOUNeERYlKa]kAil@LrveuR]K^UxSmmk@xY<KouWYxSbHwKdrfElUEWqqlqtLBan;pvpPmj]qh@Ke=N_lwJmJ=twA`MkUs]AVWtwGyTodK?avmxQUpUm<yiaVLxkVERslvwmvLDUrASU=mWiR@DjuXJkDu=@nYlYK<uo=knynq<JVaSgQLXLSCPrAPxSHj<Isk>[jOclAaghjjqyDxdyFukqia_yegkm@xXWnaxmH>gPHr`VtngkFOwyfgoW[]>_G`l@?vV^qfPtkx_:p`bpsUooWxm:``ExeXVs]AaTAvdQ\\mX`cnj:Fq^?uxGfJVlaXyawu]Nk:VokgorO]Sfpbpd_>qMxbL@[hC@CgRGU`OxKObAWVsGHmArjuBcAFa[tQgBxUbqebyYxhsDHWFvqVLyCnmBc]cDsxV_i?]VPIdqEYMOuTwh<mGoeW=_exUcJkCSwgHSeoKHREsRgflgU`iuvOxh;IA;UZwvVOVjYVrGFeGShmUGqgFeSXAwaid:Uhygd]MiuctPsyy;BDUsBMsqkGrSrVoF:wHvWwb=y=]RqUT;Gva?cFCxg]SX[Ii?eruXlMBImuIcCUIt;YVcAdC]WrKBiQTW?WMEWQAdwmtreg`gyLid?QvHGh^CcYWEVkBeMF]]i_ARH;SOyT=kuKChQib_whtMBEeyOgwg]WnUwrCDFUIfWVVwWTQRFuHFGdS?XrMDQ=bmOSYIDjoig=geQUDaUdmT]IROywgcXS?vHIuxiT`SbOKYdGi?kH>egf]SxaUlwBw=rbGGqkyF[DgofuERgKdBmIiMxaOhOYVVeD_WEIGHk[sOKIpkSmmDnUGyiCeqx@QvLCcAsT]cBnOHe_vj?sr_eHaV_=E^]En?F<KHBwfKQHjoG[giaWrneW=esboBKQRROGmawEaVYQeUOWRERJSSjGGLsxBSfDqV[yCYYepgGvqutosCMVeeGpEUgYFkoC\\swT[eB_FL]bR?VGgDEYw@]sxksR=x<qGTIS:Kf;yf\\ACvYx[cYjqUXIw_yhDAD=[dKYHC_XH?hbKCI]WGWxCQFI?rnGxi?EhkdkexhmVeCU>kHlWXnSwNsFyWFSgDM;EyAX@QwgyI:WReAGvCbQDwm@N@XK[\\xLpXSw\\Rfi@I_]hkKOepnw:F]]io\\GbjqnxAaxVrwipfopQnjXYcNqkKYj<?fOhvDXaiWmd_buPj?>h>Q^:p[k?bTNaqOkvv[uWh__gthefQ`Xau=_[ef`]po_Im^?g_Ww>QdsOd?ng_Ac:qoHyaI>wFAjwQjhfiIAyQam?AvY>\\ROgxw]rxhAPduWgWQaCn]Tya`>af_w]IqCV^APh@qbq>][N`r^e:N`eot\\HyJWZLhi?AZ`wy:NrwVnyws>xei@yKyYKbwUvy;bI]bYywroT`AGG=r_yI:K::kdxUX[Eg[Mg:<VRYrU=SREov@lCyK`uytTWm`uaMkI\\YGewy=jeMuYeYDLQbMkAHNftsB<yYYRxanlhQOiPUENwmXoYQRYJCaO=\\Vk]Uv@W:LJ:<jbXVQiPpLyTPRjiwy=JSaxE@m>EjIqxhPnAyMtiyThPDdWuHmIMv?ewiIRylKndWtNy@Xlewg<>\\qv\\SHk\\?hOfdRWpk^a?>ZM@uNoeY>xQXrgoh:qecQmG_pjylkvmT`h_GhOIeVojM?sr>fH>[w>[ov]DpwYWdKafppkEVcSaZCP^=ga>Al<fd;PsEy]IY\\IHvogvG?htnlAXvEWuEnvwwbHOmeAdMq^MA[vpqso]PY^\\>s_hnBwtIygx@ngicZpoqgwuvmf>twYtLahy_ZvQaOapbipEf[`ns`qtV?m_qkSohj`ZcPwXAnIPrhxi<Aqjy`wAZZwYyoy@ydHXuuw>PwelNWQUCqkIXX?MoF=pXMQW`rw@TS`kfHTOTTLlJ?aklxNi=M>HtQ=OwiLi]XI=kcQq\\HWLIR^xuwQolMUc\\NREuvXK>@kedUqQSSXr>PRJ\\LbDKAaovYrWMxtXSiaJvYqkPMTYQwpNLqltdmg=VG`nsLL@aJ?tMqLtOxK[uDmGvMS@wYjiwkuIWavy;b\\YW?aGvWrfIB]SUwQwZAWQExUKwKeeBMXHGSPgdOyCTAblECPQCAGRTkR?IX`aISqcL[i=IwR=ylUgIAUTKWmAsPmiZIYNsx__eKsRGQXDiWFIbR;X_gVHkVZAfC?dfWWPmQWiqSlQV<YRxMsylZyY:xQLxY:DXOmSY\\JvYQYHtsXtZItfavsdPNIW]Eu_\\suERdHkW=JBIMA]UJ<Y>XLCAY]Psv`TndqHHtg`PG<TRYUCaLpuLmQQUYQvPSE<OlDKCDPOdNqQJYIQ=mkluUG<ypUvAUTvTTiqLe\\jQQyW]ojtYd]RRpsLiN<XuS`uI@mq\\MXHTmYLHux^MMsxN`qmc=uE=vy=JADXdqPTaXThrThUWaNLTrKLlWqsk\\LHxrGYUFuuI]qd@VryWZMtkiY;ljywtCwarQolIrZirvTpWGWYc=Mi_[XPwHkSSeWe@kd`meBMfRmv_?UBqsrSCVsW?GtHkvDWSI<J:mq]hqNijOqRcDw^TLfTWyIpxDlXEW=QR:eVJ=SDDY>avBARLDM>AUTmkCIyALQuyVvUOyQjy=JJMjIXYsyNyelCuyDxu:yMnAjqxY:xA;jOMVXIpJyogepEdQyxsLQnxppu`LGLNR@VRXR_hrpeJvUNdDYKEM:dV_aoE\\p<lu\\im]hOrYVZlUrutQaTiqOiaRIQXXXUHuoFpjgaq<mUuANGpPp@qsMuQIyktqSHSCuojtxHaYvAQjApcAnUYxAQYSyY:@ydXSjEykMnR`nKdvPxxQplKYpVxPQhlNEPZxNsPKDXPgMUaAuCuyXAqftqA`McYLJXXWTTKAntyY:tNIeTb@q@aWOlW_UV=Qt`]t=tyw@ny=jKEoWqSOIQBemeyjNyq]=uy=JQ=yy=JnMXQMXeDmfektpjK=Wclpi@neMMoeL]<LbhM?trohpvdrF<P?InGXr`\\VATwH\\jaEnXdPg\\l:Ds[lkBMUsTNAuR?DUSMXBdQ;]LA]kKQN^HX\\LN:dLO=X:\\M:djxLK:hs]<tKePweJg\\\\pvoZ`ybPuwF_b?n>Nuk^kKgpuGjEgb:n^KamZqfPDD;bbOFD;:<TtEt;EW:AMx`py=JKPy]iybyY:\\X\\mt?xJvAy?ixQtYAEsUGgy=::ZdxaBNqVxq>yqryxoxy:voWwcyAZBomDpa_vYIXiYWyoetdinydOg_BtaYbieyy;Ry[un^xKX__xmxqafwieyvyAZcGsVwt=yWyuy;BQRyCcLMySyI:Yv`dyvyY:dWs^ALnOYy\\pLKpybuNLEJc@w\\<JD@o\\<jLLKTAOjDKEeRN^n_Pn:@\\:XiMo^Gp^GOlbhhr>s]>taIyNalJgZiGpTwiIQqxyfvAgui\\a`yuyo`yi@aoKAbOnq?IgyAZxVwsymkYnfqdYXxhyqSxy:N]mhBgtxerc:YVfoty;rmogyNgGa\\;VefqdY<bIEXTnArdcCNE:y=>G:^O::A?:orf::iFugtiaiuZkhb:vdui\\i`yjyeFyy:fkYNfoxYwv<myahTD<o<xqReoyS;symkyn=wg?V@iSk_rdAU@mbmuSHeSGcB:uvd_rv?hheSocx_EsUUiqgtE;CgcxSigKAUoOvb=Fhsf>]utqD_adN]EpWTDWyVyGvIFTyI:aYvYwY;iwYyy;b]]ty;B<wu]yI:yc@YiyYbEyI:kYscEOetxmtwiBCqEAiIy=cxyCysyTyGxsshyI:AI_yejurbyI:Yhkqwy;rZQxiwYHuT=cRiCwhQf^uc]qey[RuybywUGyHywRQyI:]ilySrWRnyqmIxhxY:@vlywy=JHtT=erXLtWYRLhANuy^yqytIwtVWqyurrAAwyfgiwy:vZqwivQhtP]bnxLpwx>cpIaiAy=_xyGygioyAZZqwiyy:nK>;xiwfpy`yWfuyAZkEtKuboxLkgVITfWxy;bjyrbIiIgugyI:Avhygyhny=J>:xVxq;::YxY?XBCg=avtmFAyI:KhVYyy;b]gTmeVcUW[SfOgDFESiswDgGGsDaSBs_vMCc^MDCeICoVfKdX_D_svgob\\ETUQdyus[uyWAvy;rKEsWmdeQRPgFHcswwvSkdrWFLuVpWf:KW_MrCKyDYeyarYMrY[xjIwYyXraDCoHnitfoCE]h`IyI=yG[y]uI=osWuiycrY?xU=yAoI@cuuqIyOSUWSjSxhufAKUmaua[y`kyKwi[urHwyy;b<@xU:Jgpo;asudMX@WG;:vI:BDcwhIbFWIWmubecmyejY=:yI:Cvq?xIcIFMyqiIx]TTge=EEqKyvGtTsvy;B[:jy=j>xU<yQnApcyuq=YKEWpmk_aubUX@YwVxY:`::HTyIky\\jy=JbIvMk\\PTfamEIqKqvFttstyC:ZA_y`nyKB:=w[Wty;rihr_<ustlmYNGIMhXXxU<:r]kYMsyByq[tjHyiygjPvlZovWosI```GqIAyG;:xKriCf=b<UcE=pWKM`E::j_tY=q;RHEEpNhQakyAZ^ierxy:NiyfyTfl;HfyAZXF`wgfyAZKQtNom^FxYwjof[dVcuf_dor\\QvQ_kAO]DW[kVxQ>jdVaI>ylAkuWsyAZ]`NODlarhmsYMvY]yuxiXOQ@sXLKxhny=jAiqidytMwy=JtaRnuTGiOC`VYxkxhxy=JwAhyAZcQ^QWcy^yv?U;roYpcEsVyt=yWwbykWTyI:oILefnYxy;rAxmtIyy=JTMXPQlVEtLxOWaLdQwwETEMt<DTCeR:doN\\LJQJKEC:ZGvbm^pdo`@afpgh??dkOl>A_^YyT@ZPPkq?uoygtqZY^yBvkvIgxwrexiJA`yErCtYAYK;XScry;RfOyqcI=yCx]rAkYngYIqdy=v[yI:?rByQGtl;\\lMqyAUoy=JJApy=JZ]ryorIHpdyU:<qFPnYlXwXuxIjAtY<XNyMmxxRe::QFZOXDyI:AUoyGtkrYDlY@yKOiq<JhTjbxnwukPyi:WryAZ;H\\yAZGtRexi:DTjEM?yQfQyq:>guq]g<:Xk:Lscty]iD:XNfQI:\\U@TTdyukPG:Sw][js\\p?ejhaxcaKqqokTU=amBdsmTP?XkXXKQEQv<xcYOq\\v`PtVQt_\\oIdWyMlXlmA`qy=j;ily@yLuYeAyUpY>XwY]yRXuy=JGXU_\\pAqP=xpb\\oYdWYUly=jJekuyi@n`yAZ]ybpyoCxqbqbwxY=X]yGx]HuIWyqDyAhpAhxyWxqBogt=gye::uyd?yUoY>YwY[yRYeycsXmsyToy=JRTYRuyQuY]PyDHrxiTk;ZWvd>iuvh[uwy:VjUvgkYnSystypsyjoxjoyily`b`oIfwY_\\y?tEHI;rZQsU]qwYo\\yKtELiyQjuvgmYnTystyPuyjpxjpyily@eyOHjw;blqHyKeyeXvIL>XuI]YSTuyO]w^myAZexiRXiRwiQwy:V^xOk:qyOIX:jYPUx@oy=J[plmuY@ptYUvAYpYdxiUXITwIPwy=J^yWK=uYPUx::pxi:rHYUv`G`IJTPQeQST`Ui\\JE`qdDtNHKV@nK`jCdJfHrUYL@=xkamZQTrYOAmpTqUDdXGtTBMmnTjEUKRAwWltkmXs`TlHSstjKiP;\\U^iL]AN=<uqQuwhy;ukC]tnXMGQk`uXYhvRtsFtyl@s>HlGTRdpKfAp;yR`XXK=yiIvhIm\\<YteyOdPWTSJIwnhrLqQSMX]Ql_LN[`RClx\\@NTIMHpx^MlCeS?AsrdnkmrKqMbXSixMruwEAxxYmd@Y@xnLqux=TWiodTuw`TclM;`O<]Lf=O>NqmokoxpaPwpxtxf^Oa`S^_PV[E@][imEgZ[_`lnj;nrAv]vNh`v[s^c]aZM^sY_iwVlV?tnX]WvhSom`VtfQtXAifVfFXre>ZQNinFpnHpxFt;`^fokuHk>>\\B>wnisXNwyN]dOywatkH\\oWggwfg_]Zgv\\?kBIyvwy:F\\LHgt^]gW[XXhSgl\\ovqHobQm_>nvpth^wff_E@k>yp?Fdq_]ZafqAvxidgfj@ymbHe=giZotQp`MA_rgvI`[hpqZXv_x`W?tnistGrfgxUWhvN_\\AbxXf[^u;>Z_A[wNwHym[Gg`HgjIuSir_Ir<^ZGXcm>\\AFq^vm>AtPFaex]JvsqNkh`hUvkHVkao\\iIhdovb_utX_>^sd@nsI^RaySh_rX_VNZ^hduwgRVuV_yyVtvhc@NkliedI`AoxWg`D^ql`caQZj>bbA`E?aANgep`rfrhvlZYmgx`Ogto>]vFfhX`YIyfId\\qp\\Fa^ffen^v_oBIt?@[<Pb;ydFP]cXgjyr?oaGnpjqtcXiq_o_nkkIfqghVVcwnnnYulAmK`dqyajFaHq[?GZ\\omMHxdVtKwlFOmiv[l>uWwiawrkW`DWmZqmpa`L`\\CvkWHh\\nZv_kmGr?Igrw^@qtxa^upk`FtxfrOfu:`tf`^cG\\FqtfHrO_m:^aqHsYn^UWw?Qdjyu<ikYNb=`cphpOixc_gficehpvpmPWuChg:@\\B_wJ>`df\\;?[OWei?^^qvuw_Ap\\Tii?hthhmhPwKG]nFx_PuBOw?`ofwp_WnEPghpvAiuLhcfq[CfuBAff>eYO]UGc[gnd?`bYmfiXQux_SDSB\\MbJWX\\kCQCud_SYah[;bsCwU]bT[ExGyn=Th[Ia]EpwHQMT?uGtuW\\CGWKDIAxI[v?[u\\guBCCaGVWKxjSZxQ[I@ejHtfa_oVmgQZQAcPHagGnjPjWyln?bBFjmYfvgZ=>ZF^[XVh;XecNnUGc\\AgoFy`PmU?kffkf@[RQx]a[;imNYf[VmdWZHA`E@rhiZGxemHbyAZvVfyAZxhZYnf=pyrwryEYOb_Of:CxQIuZwIXZxvsA^ykykxAyOf_NfZBpqIy:JDpQIyjvIxIpYreLg\\l?@kxtsA:KsxssAaikysx;IOcGNgbBqIIy:>dg?vAQyRxy:vw;PdJQiJo\\j^i]_ZEGvuQjkPnJHtla\\=RfQc>AhyscRoylyI:AoPyY:dky\\vXAQyMyydyRhL;HVy;bdWVjQuFiFxivytKuyutixNyY:`xC@w]vqryXvoWwcyAZBoMOYc]G=aVriiqyO:tTGxQyEsLLqE]mwqNAeqxXty=jn`fYYriiQ^EyqxML_n_yVvdyrIHytw]tq_DwvPpvBpvvIcfpeAyopXl@Fpa?n=yg_g\\fypqpd<ihQ`sSHvRopLp`ZH_Q@hCgy\\Qhwpcwvm?Y[q>x>QaWqxLpxuwoxGs^N`WO^NvaZw\\HHuv?h;Fu=pkZPl;noIqdKaxgHfZfeQocqhqPvw`Ybaq_ii_BHrZVyF`fn?a^q]dvqvQ^XQ]uadQwb:WtT?iJwbNfkhgnKPZl>Zmvm[QhypwVPi;>_HN`EQv^Xpwhvu@yHOxufopnudyvLgkaI`sG\\UanLn`>Fp^`k?y^Vo_?IyQHgZf]]Ya??y=XvEfwqWrTQhboxLoq[Xhpw^Cpg<WjDfcvGp?xgiF^yAZKAj^Fvx_ckaqfaxev_D>i`orcVnm@tn>wL>iXnuZ?l;pv>OwD@w>iyZQrnvZsv^bGs\\QliF[roeu>khX^jqxTXl?WhpAoVIb<XliwfhFaZqlq_aX^oAa]T@]Vny[XvEXoy@ZrykY?tf^\\Gonco^\\q^tXaN_eBP]CO^dvdaNsUF[w>]p@tNoj@qjYPvUIko@snWwg@^Ugr_^wtHeWpgvPriNfqX`DYmp^[@i\\VW_hauDwkJhhTnxTo\\Yxg\\hucO\\@ytPxtl`eCohh>hyAZbGgSQmW?r:>q\\gwJ@ZR^`S?iuGbl`tQGdmHtfAvv@e>V[lvbmaodOZdxvRQ_FXvvfhn>tVFcrylmwnUqupvn]HcpwiohhEV[=Fg\\VqVGcG>u?X^k>n`weP@ex`gmFpVabrWuuPdiarTps]HvGo_dQsPYv:_tighuhil^DewvoT=WYOkFC=V<KH:UftIG;EyKmrqyQ<yo[uotLhRQapWy_ihuxgmpo`o[_yukowEO\\COwm_wbVm=qaXvl<gcDfeLfrn`poGlg_[RgkVo`=GZQqhHWhVpvJ`]vwmKvGUiOud<ud:aYQwWfuvrqGh]W]]FCMV@cbLeRNeH@ifDAD?ETFwwAkiOYr=sULehQahKiWossGaUWuUIswVOy>kDEYV=oWMaEE]cGCtX;dIQd>urb;b=Qr^=vpUXrYf=QdAyF?ofAwVvMIhqi>cwB[BRIi<ucF=rk?TXss^St\\?hYkjg`mK<YyesPMPqUY\\=nYLqfXuRAocQl>ypk\\Vm=rVhoivdmwb_HajiiZQaWhl_`u:ve>Iexgtknj>ngV`p:`]=Px[`^lq`ofcuNvaPuxyukWg[`uVGuUQepFn]^qcI\\<Hu[vpa?Z:^cGHmHHt@QvjNcFF\\Xir[@gKY[[o]O@g\\ptrN^qPZkVy^HjqPre@w]vgSxb]gs;wg[yeGVe;_aPNy@VmNv`Pfwe_`cOZbPlPN[`P`:fvB_b>vilhab>blotYO\\XQxgAvp@xxPn]nmfQecwhmnlDX]s`ikqZS^su?dhGaFqfhGZHAaAVi:Q]OysB`ayvfdhe>ApDQynHtB^t]hgBwoXa^U>llPlOv\\fF[GNjAOeppyN>xMiquqq=xnmNwvnek^j`ogmwsa@ahG`BysJO_WqmYXg_Hu=gg_@eUWuUWrjWpg`qDFp`^iYI`jAZ:a^LxiT>f]_i;wtof[ynrtwuSaaGgaWprUHnSgucQqBOlgvlqy_gNvR`sfgnVIqD`^<Al;GaVftewuWVwpqaWvkVGgnqtuguDOxqNjhAdkPu;ggmNr>OgDVqMXpm?lWGriolpv]qopPpxTYebyo_@x^y_o?[Ua]fIxS>\\m?r\\O`tnmXxnPIo?o\\S`]Q`[v^`FxlQV[nGxCOavnij?]mi\\UN_FXiO@ZMHsai`pNZyG[dypMAyeHeLq_aw\\PFxTGedq`hAekFblwfFIb:X]K`cyV_Jn[RVjqibp?[x?dmOyQi^`hu=wnIyhwnpG@^TPx]g`>yopooly`fWlHAZ<AobAZ:FZQwjBx^=ny;wcyAZ;H;;FtasuGTYQyayQ<Urydy<xMyMjLxKr=sayY:<nMyY:<V<QTjdM@hybySwXxy=jjAlIuy:ynyGJIDyCsFyQbaly?x[>_jh]@fibyswXhyEv[vm>B>RAgy_R@yQnMky=Jv=KD]OAHRYLymtwVyY:\\Y^Xpy=JJIoy=JjEnbxiC^[yAZnQ[y_yBNcfvZ;wmtW`iaeyEyCsF>T>x[ryLBbyn\\=>nIiqSvxhxixQ\\SJn[JrY?xJySy?rayI:?b>QV:[xSwHiQirAY;iHYwrYOYGUuy;rbEBWyGv[>;<;PQYNk]mdQuBQtiaPwaOCqPQTyG@VqtPBLmwmkRPoX@J]eQGEWCYyBqs\\txHYVumTf@vjPVrduuerThuATkXQVeUTEeO@Hq\\LKaTu_pMXMr<mwC?]C_Z?am>@sK^m?YxLfve?\\rYk@yZY@yQOuRysyVwgC:kYuEEqyUTsxt]uTiuAMreEGo?gkQhcqyGkVFsNm=XI]qM@SZMy]IpZywjipqUNolUxpvpHNkuxLmKgim\\ATDXKEIvdTko]mDYXRESeUXftVuxtE]LUPxF=jrPRgmt\\]uVeTxEp_pqZDpcmqU`ToUU`QpFYPUuj\\qxk@Sk`P;]Ramw^UXNDKFLW>YyqHv;lOqmsTpLU@XqLqy=J<YWeIULqXrDS\\pl;MlLeNEYJ`=xpUPi\\mZ]m;Lm_]sQuXjHWjaUvQnulLW\\p?PpGhjpTUj=J:@Nm=xQHjlmmr`NjPthqQnuQiYlmHxQ]RGxr=mqeXpopKDYOG<ocUlWaSeIXChVRtsG\\qk=JQQkUlwJpLHIXXlQVaPXimrUkqMorqpaUrm=w`Pu`ErVLWmhot]QjPpLTqJ]wPULsLrHhtdIy@ItyPlxxQkijuYpX]yj`ThhmgpuSaKYlvfaR_IuMDmxEwb`NIdtXdlPDlhxO^hwxaSrytbHugYKCmmKuP>xrrpqVIYstQmXlCYWMxrNiNWiYbiQv`yHyM>uqP@VLiw\\dLnYsUDs_`Tiaxnmju\\NQUXgQXjllW=UATxjTVZXJ;iQeaOvyuvXJ?QmHTmqeN?TYuDMTTs_=QU`JjYmQtmfev@=x]EKpqn:aRA<Q;@UFXSRtOhepA\\ta=Y=exg`vFpomQqTuLf@k;ysUxT_yU>MJlmrcuxC@OVuSmaOyEkhhvLHWE\\UuhOkDWHAuLxrFuv_XmxMy]LMYQTQhxqAnpExt@MxHoXUSvLYfmYTXoeDSfyo]hPQ<tJQjNMr_aUL]ogEkpIx_ej[]mv]VMyT]qSHVoVIwQAx=y`ianMX]vYm`okcF^SPjHxhfHslIorVrFplWwnQ`t[wqNalhHnjqkpavK>\\`vcmX\\B`tfXfxngjGnRp[Ry^PioVgeewtXvhY@xyHdMpsD@_^xZfAu^GkEqr^HirPuH`sDQa<nctVtRGaqwetw[iw]mFoJqi`^edQ]_hpWxYIvCaxRgvwqYHCwTKYsQsVgYJcuOOe]cdEEyE]vvEBj;EkUWUIeryhwgudsR=;WmUCaoI]oHWib:eY?oFLGELECmEuVxu_ERZARaUwJhP<tWvMRhqyKuyDTrLUxxmTiyp`UuqmM]IPSXx`iyluJceqker_yucytqQutPWqtmDdpPDq_eLhmkgEPlanITS\\xSXMxpLyZyVLHs]Lwlqwxfav`iHYpT?yAqZShoVIuhxjmWhiWfbh`W`wjqsVOb\\`dC`fTAo:ifEAjV>n_>]@f_J`p^?yqpoWgurOgefc;^_ModNpc@YgOIlG@nCWjJh\\jnoWVZbvvlGjWhnB`emnnCiv=A]ri`k>cSnmJVfoPrmfgVAumQiWPolWhBAs;IohA^y@qE?c`Ay?wh\\Fu?VeJOrUyx[>el`jwywRVfYpomotQ`t_huw;UxIGBYwToCGvkVosyKCWUqIMiXNkx@MuZmi^IDAUD?Sb:SrHYYVyw@=dMoUZwTegBewgNmI[ACrYUQqhgwvruCvkumoUvKSueGTEDeguYSRWQE@Usu?wi_YUwdpec^KuoSEUkx^ICTQB]UuxAWHsbOKxosIRIByaVuYeywyPyI:]ipQu;WstYa]qvh_y>GqEwmQ>ynFOTseyOwmjyHXi\\SY`iNvpyAZ>XkSwtnXkwYc=yptgapxl^fkxpvRGkShnb?ldNom^fFP\\I?]iXgxQ_=Y\\On]RouyAZMi\\PVuMpytx[?A]\\PkaQa<Nkb>n=^\\Kgb:>]]`\\K?b@>_\\Pk:>_\\PK::pMN<Tt=T@xOG>S]]yOyk:scRvy:Vn^hoye@:::bdYfjWscYSvYcyuSuyutHoy=JcYLKGK]qoxY:tOWoyKhaOftEOfSv^=yWxiVsy;Ryd^awYYv`dyvyY:dWsXoT<ywyxixiQi[yvy:FcLNqEGnaFmg_^k_`x`d[IuN?or>u]AyBx]>YaPQ\\VItMv_Wa\\dqo^Fq:v[fYwYXyhy]xIaAWmmwY;ttyvxmy=yQH`T;PvDxo`auy=JJQqaqYxYryokKovVyy:>ttvvxqy=wYIHD?Rke:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::jUXwiytXINmmwy;:aiUyEturVyI:yUByqkMs:Tm=@QG=mXdlITmmuy:YwYXYsyKya=euy;BJ:NnZic;HwtId;HwtadxfgIiy=noyww^yavQhIp`a=Z:W\\ZOix_lZOixglIVmmwY;<Z]hssxY:BNCBpwraEG@yRqKGYqxaoy;sty;rqKxYkYswRUY@:;fC;cX]TZ<ovYuYLYA`uywqJxy:FxDaaUyM:r??BUYbL[SIn@:rKHA:BbMBfuCD;HwKGYq@:n=::;HwAw:_XbaiUy=vIB_mugy;B^JQHjT@LymrYhXXakXxY:XwLXqxhx:muEHQ[EpghKFiWs<mp<WUeJRAp]ascARexqTmq_hxy=JC=wy=ZtQ]fWmeIpUIdVwdpyoChiyOxTw]xyaAoxi<Z]f]HqtDPvyhP:jYPE:RHkbegEgiT?uyd?yQyDygv[yqAAwxiTk;J^Evmip\\@qidWYQltyY:`VnxQvqyIdWY;JHlRQTQT;j=[w=:\\F::rA:ZVZn<ZA<uA:>S::jI::s:c?:I>pI:BlRJMIQidw:Ju;j_@s<qvYaky=J^qurtIoAA@jK?oiqwoXuUYfg_h^>gS_ljXcrGZr>froaqg]dVe^>ifInSwd]GvRIoZ?cFqk=Aa^^h]fqn^o@hmSYsvWcyAZIXIoYwcxy;BwMFtAgryDyqepyI:iheIwyLtaPNtDWfUr^<ywyxixiQi;FCdulumIpqoyY:dyjC:MiBitOktLaEKkrbcBgcDZkvbcJbDJklRc@WZ`J?Wc??Z`>_?i_N>ZRPnPPmbGZrWn]ntk`pgq`aarToxo`[TpucxnUGwlHrFFc[O_AaqvH_eV`L^oCWs:xZ:FZTW\\rO?=SXGWvIW\\Ai]eCEWixCVJcd=Cw^wB:GgnCtvgBXeybYfP=wckuOYDoUepAyM]ywKfU=iOkHSAFOGVKUBZ]U_SF];yZYVVgtY=i;ydxsBYaty;RZ]xy;RvoGGQbiCHqoUnIXegdIOr[UH>yI:?xT?yY[SdUuaoX>IeAkgvoyVgh^yU;=h:iraGhiGS\\=TjYCdCtbaYF]HbudwUSVQyKwRgWtr=hwgEvMfesSW?IL?UIwRMOTCaTjuCMkEtMbxArMaVj[ck;tYoBx=W<;ubgUbkRlus;oiiwGoKu?uu\\scX]X^QYOiVj[tF_wEUFiWTP]EhUbJsC]SF]YfEsFIKBcCEXQXkCtYiHyyEyWU]?ru]wIcbOwsh=GqkuVqiIgyqChPeHviVNgGggv<MinKTpGC^=sBKB<=E^=tmWuTudMct>yh`oR;hR?Am_N^>hrRfn\\@jM^\\\\oL;BM]d\\oDD=RFGTDKEbCRkk:::::ZDG_GvdNyvegelnw_AZgf[vPlbhaCfdgfybNe=@tkpruFdAip_?yyOrQP]hxjaPwqoagFxTfcqWgNNxfv\\kvrTv\\:_rdFya?Zag]G?ex@xwgnGXpWqerYw>qlJq^qVspfnLN^^Ajl^cr_]JxaTnhCP[Lo_ZWiKGjgid]AxNO`PF[]ycMFpLg\\<PwK^]LFZ:nyiAt=`x\\fmyE<_sy;BnEiryFyWr]yI:UVn;WxCWM=VuGt;eGKsE=yGwkCxIwy;r:Awy;rreEAwv<?VIwvSUFiWt`khBWEo?s@kFwArwsu^MyKoGA_HE;yX]\\Jw`<P^>o_Xa`kQb\\`kPx`kAjAfyuInvw[M>__GxaPkB?fBN^xaaJvigimX>wm?cYXZTakINg>@yOFZaqrXO_]qyYXvyMtxQ[ejY\\xr@yity=XnyorbAtsFmpvZo@]XftOXfiGh_@yY@dJavNyoo>]\\WppPqDXeppdO`cIPalnl:ffAOlBVvyF`gpeNQuBOgGojAfPwBocgNdq>ArpU>UC?Ke@MVZ::::^pG^b:in\\Pk:^vxf^yAZAiqihytOWoQtAoryLyq]ykcbnDTWaPpTp^umIpArcyqnsOstcAxuvYs\\:fYOdtQY<WETEfbOfD;DD?_bNN:RDGWaUDbSr]SbqqRMqUkqDLMxigwmwY:ATNsuM_vwoDx]erUdAGx=cWQyTTavpAH>oxLqWD;BYsxWYykUwGaDvmXhcxSwwfgxUcUpWeGmfoKcReFCOSbeTf?SaIGT;R^iHTKw=GVGary;rFGFcwehuucF\\UOuIVhbFqAWcVndiHnrwoBWguigLVxOOlSfh?Fgi_huAi\\Om\\At>oyL__pvsfWZ^xs`nx?FeNprROp[Q\\PIna^r;XhqoxufycgxANtv^pspl\\i^nX\\B`d^O^shkSxmkOuKf]BwsR@sBg]Y_y\\NyIxiRNgYokY@gySayBvSfTyDwkctyuQ[gPIuy;BJEwlYThsdnSiVyI:WBussJMurQWMQuPaFkiRVUbFGinMsesve_fckDPCS^mVsSegECRmD`wVH[D>WrWEhxyEkufQiYNcgawhyqyMmW_CYFUdFssT?clwWLKFgkvpEyF_Y^CX<=yZeB=uuCwY>UuKycvictusIKyAMuyLVtPty=J<yob`mairtulslsnTy;yY:LpKUsI=QmYsktsrUyFmToTMGLKwmpUxvt@pJuOZEk?pSNYu@hPCPNDmwDxsu\\s:`MnUNZPVjtWflq_lUW]uvxpqtTqHXdQr\\yUgEj?\\OmaNLDylpRIYo<LkDpWS]meYJmUOVXVJyK@dp=HSkqyaxMuyJTyY:HxyXXDxSriRo]k]mYMdkIuUPplVxiAA__ynVIa_@uZqdMirjhccpuRYeroqWq_`^pbgtii\\hxnliwRi\\OptKO^ZPhRQfLiZBauLPZ;haPxtOGmgNnCGclN_bNhFinq@faWa:_eaAt;>w:>rhXfxI\\wWbRvy:rj_ty;RjuuayqGHTyAk@YNyYbMwY;REyCxuXGoRYChsoybQTkiYmeuRIWBGh;iwcyBymfLax]Wy=;gewulAhEifgiy?oiyAWdItU_smsb>AD;KDSAD_GUFKwCIBaIU@?bheB@kR?aRsKI>YTVKebOFm[HD?O:\\<:::::RU_toyI:CY:MwYiH_yI:oYEOWu_CXAgaMBBevJIdD_cHIIdAC;wEKax\\cW^_SMEhbYB=OYUIb[cG`GFFoWYiwYoYRyBxgxISvsoVUQTLchecSleSegSlWS;GXacRTQCG_F<CxVKFqEfV=VSwDL;CMKDtOEG[YacXNCgGwxDehB?VGMB?UuTUUBEt:;bUCul;E:=BI;iNyI:?xEMwY[XrxQjuucyY:\\rPaunXyLdn_@T\\ivnDxgi][_pGX_NOtgpgRXs`XeRoe\\vri?ig^g]Ikhq`rf[hoqUWo@^uyX_G^j]o`owjrYj^NqlIgQqi[>kGGhUF[^gmR?]vwwWh_Kif;VmEqsTn^=H]=if<hpown<QyCXw]i[I?uwQjJymwUw;GxAeNyqJIVcXxQey<XtY\\yluLgpq]qVQPVVtTXyo=HvOYK?EYwIxi<us@QHHq<aNqLwSdtZelq=pgdvr<RcYmqAk?HUBhwVqSyXWk]obuLjxRfpUduPpMlB`o_xPNHortuU@sMivI<xkLKotNFxkSdtDILSyY:Lrivy:FNtmVIwpamy=:wc?cxMsimocayEuybSyEaceVahusbnSQYLLUAyYYSNapBmOvircHWI@WEUj_\\WxayQLLUIJtlR\\yJJ`NmUR@yRPTKhXn@iueHNUAikGrag]PyoaxcG^q\\Hc^WqyFfdNk@Psb>lsnrLQkLhwDfrEOjFqcdYwyGvQ^tu>y=YdyAZ:Y[HguyfvW@_jqr\\HaXF`OIZyAZiX[Ioyqvbgna[ishnriWjh^anOqNY`rwjK?mS?[HIn^yl:^oLYna>uUa]OFkqGaKOxhQxDqmRn]nQwfAaDIxiaeZ@x@An@vZEhxjvZ=fy<Vt;Hwxyo_x^vY^Tvkwq[TvmxAZTwika\\gycrHq_@uy`\\@YvAQi>xncHtfyjYfxXyxvY_TWpnf_S^`q@qXXceio<ow[IdXFiOY\\BVmDP^\\@ZdHZq_ao__eocmXlQQbZPmTok\\PkdN[Dbb;f<Kcb:j[hN^\\p;<SvYsy=JIvqoYwcxYMy>]xKCxikywxiihEyI:KdaOVtEWfqVCkIXSgksidmSyGXa[xAmyvOttgsIiyA_YGai`kilid[is_AtnCS_;e\\AsCmfVEfjCd:IIS;xSAbnqvy`jKyY:<w;pny=JZitiuY^ltlEJqqqH@uy=JVyY:@sKIpy=jrxY:Hli\\my=J[]py=JtAjcyQrelu?ZL@_yE[]xy;BtTty=JjQoqyi^^dliZIYnpxA^`fwihya^Ygay]ricYny:Paioy?neyAZlibY>xTxawAZnwuvQ[wxy:^vDHa<vvKYuYVyIHyTn`yvXPmsyRxUlAyY:<nHXmyOZixisQ^I@yG;:^];XhbiwIhyAayGX=jvYVyIk]xiZp[Uxy:FjQwqvIlA_y`vK:?:tRZ`UtUq]uykuY]prAqIlqkyY:`:<w=pny?Rrbwy>I\\Z<:;CQoyHAuy;RVV^AolyAZVyiBytHyajQM:u_^uI=IGyex;RtyGxerXyI:MH?_U:cyWgvyjbAuy=jmiSyTNYAqy_J>WBrxHCSNyI:M:[@<FB^ieIWFpyqsqvYIL]Xf:nmgGyTFYZZ<=>^YBJJ;ZY@^hhiWryXHpbyEIqhvesvlI>B:vK::FJryl=cCU`YmywByTHyqjM]t=j^wIKuyLI:_NlijIYNpxqvkKivytxY:::x;:pECQh@rsvwgvy:>Q@CFHHliJ[Kt;ZyE[Bt:BCaDsQrabu>gRyy:^UKxo:ZwLlwA::`U;XHJGT=rvlI>Bb::::l;phw]U:`IJJ[;xDJM:b:JA;:uAs=M:[@<FbyJJ;ZZ:FHHL]XVyKYK<Kn;xHCSNF;>T:B^WSYujy?Q@CFHHliJ[Kt;b^K[>\\b=:\\vEtMAKhSnBhFli`Mbx:FSy=LI:^VJq;lgByT:jXCsx=::_U;YPU[nJqsT::jI:jX[s:Zp:esvlI>Bb:jA;:BA=>ZU:`IJJ[;xDByG;Z<:W>:YVEyqmoy@oQ^J>WZiMLvYM:[@<FRpEvmA_vYxi?sK]aeYtELB\\H:ZC::rcKx?w;HIrytC:>N::>Bb::jyoMn@sAi@:fQLhyZt=j^;:]@IAJ<Kn;JLj>:BjjK=CvYIAUny_AP=sA<>N:r]::RZvW>Q@sKiF:::x;:pECQhjp;::<DFjQ;T<:?:tBbyZw]v[CZJ=;@nYBb:JJ:@AAcKtItELB\\H:L<`:<G:>Lry\\EVF@AAsQbjBw:yQCwYC>KA:>SZVmbKVS^Y?NY:`fy;cA:LHbu>GVXyI:A;DFLI:vYC>KA:HOlomwHxk>eUOeL`kAFuooaB?ryAZIx^\\`qv?yDydE_lGw[FGkXqtr_b<Xea`fSW^b>uYY`F>vX`tP_t]AnnxayIU::::5:\"\{\}-%%ROOTG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"%+gF*-%.BOUNDS_HEIGHTG6#$"%gZF*-%)CHILDRENG6"

Figura 15.2

Solu\303\247\303\243o do Exemplo 15.2, parte (i) pelo Calculador de Taxas Relacionadas e Diferencia\303\247\303\243o Impl\303\255cita

<Text-field style="Heading 3" layout="Heading 3">(ii)</Text-field>

Para um tempo ap\303\263s 1 da tarde, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjBGJ0Y5LUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkgvRktRJjAuMGVtRicvRk5RLDAuMzMzMzMzM2VtRidGOQ==o primeiro avi\303\243o viajou

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 km

al\303\251m da sua casa enquanto o avi\303\243o que passou mais tarde viajou:

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

quil\303\264metros al\303\251m da sua casa. Portanto, a separa\303\247\303\243o entre os avi\303\265es \303\251:

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 = LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1JI21uR0YkNiRRJDIwMEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0Y1LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y+LyUpc3RyZXRjaHlHRj4vJSpzeW1tZXRyaWNHRj4vJShsYXJnZW9wR0Y+LyUubW92YWJsZWxpbWl0c0dGPi8lJ2FjY2VudEdGPi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRk0tSSZtc3FydEdGJDYjLUYjNiktRjI2JFEjMjVGJ0Y1LUY5Ni1RIitGJ0Y1RjxGP0ZBRkNGRUZHRkkvRkxRLDAuMjIyMjIyMmVtRicvRk9GZm4tRiM2Ji1GMjYkUSM1MEYnRjVGOC1GLDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvRjZRJ2l0YWxpY0YnRjVGWC1GIzYnLUYyNiRRIzQxRidGNUY4LUYjNiZGKy1JJW1zdXBHRiQ2JUZdby1GMjYkUSIyRidGNS8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGK0Y1RitGNUYrRjVGK0Y1RitGNQ==

e a varia\303\247\303\243o da dist\303\242ncia entre eles \303\251:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KEYrLUkmbWZyYWNHRiQ2KC1GIzYkLUYsNiVRI2RzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0Y9USdub3JtYWxGJy1GIzYkLUYsNiVRI2R0RidGOUY8Rj8vJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRksvJSliZXZlbGxlZEdRJmZhbHNlRictSSNtb0dGJDYtUSI9RidGPy8lJmZlbmNlR0ZQLyUqc2VwYXJhdG9yR0ZQLyUpc3RyZXRjaHlHRlAvJSpzeW1tZXRyaWNHRlAvJShsYXJnZW9wR0ZQLyUubW92YWJsZWxpbWl0c0dGUC8lJ2FjY2VudEdGUC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRl9vLUYyNigtRiM2Jy1JI21uR0YkNiRRJDIwMEYnRj8tRlI2LVExJkludmlzaWJsZVRpbWVzO0YnRj9GVUZXRllGZW5GZ25GaW5GW28vRl5vUSYwLjBlbUYnL0Zhb0ZecC1GIzYmLUZSNi1RIihGJ0Y/L0ZWRjtGVy9GWkY7RmVuRmduRmluRltvL0Zeb1EsMC4xNjY2NjY3ZW1GJy9GYW9GaHAtRiM2Jy1GZ282JFEjMjVGJ0Y/LUZSNi1RIitGJ0Y/RlVGV0ZZRmVuRmduRmluRltvL0Zeb1EsMC4yMjIyMjIyZW1GJy9GYW9GY3EtRiM2Ji1GZ282JFEjNDFGJ0Y/RmpvLUYsNiVRInRGJ0Y5RjxGP0YrRj8tRlI2LVEiKUYnRj9GZXBGV0ZmcEZlbkZnbkZpbkZbb0ZncC9GYW9RLDAuMTExMTExMWVtRidGP0YrRj8tRiM2JkYrLUkmbXNxcnRHRiQ2Iy1GIzYpRlxxRl9xLUYjNiYtRmdvNiRRIzUwRidGP0Zqb0ZqcUY/Rl9xLUYjNidGZ3FGam8tRiM2JkYrLUklbXN1cEdGJDYlRmpxLUZnbzYkUSIyRidGPy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGK0Y/RitGP0YrRj9GK0Y/RkZGSUZMRk5GK0Y/RitGPw==

Para confirmar estes resultados, note que substituindo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMkYnRj5GPkYrRj4= na primeira f\303\263mula fornece 3400, enquanto que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjZHNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEjZHRGJ0Y3RjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj0= na segunda f\303\263rmula poderia ser obtida pela deriva\303\247\303\243o da f\303\263mula da dist\303\242ncia expressa explicitamente em termos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= .

Estas f\303\263mulas n\303\243o s\303\243o aplic\303\241veis para tempo anterior a 1 da tarde (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= < 0) porque n\303\243o conhecemos a trajet\303\263ria do segundo avi\303\243o antes de 1 da tarde.

<Text-field style="Heading 3" layout="Heading 3">(iii)</Text-field>

A f\303\263rmula geral para uma varia\303\247\303\243o da dist\303\242ncia entre os dois avi\303\265es, como uma fun\303\247\303\243o de t, foi encontrada em (ii), e \303\251:

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

Figura 15.3 cont\303\251m um gr\303\241fico desta varia\303\247\303\243o e mostra como a raz\303\243o varia com o tempo.

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

-%%PLOTG6&-%'CURVESG6$7fw7$$""!!""$"&++"!""7$$"0"Gc7D!)GE!#;$"0tpg0!=;5!#67$$"0jD^-0wD&!#;$"0n(>!*\9J5!#67$$"0)e<N?"\a(!#;$"0f*ebzDV5!#67$$"08E_/>A$)*!#;$"00,1/#fa5!#67$$"0Rxa4&o(\"!#:$"0ZZUTJv2"!#67$$"017C[eb,#!#:$"/RB+*=v4"!#57$$"0pPv]q4`#!#:$"0@mZ81[6"!#67$$"/3;KM#)3I!#9$"0E(*zJk)G6!#67$$"0V'GdCh.N!#:$"0.:&RurT6!#67$$"0Pu[(RK:S!#:$"0MQE')[M:"!#67$$"0oNrU%RDX!#:$"0hvX=*yj6!#67$$"0d9Hek+0&!#:$"0'H!Gk;K<"!#67$$"0a3<M%>7b!#:$"0&QjEBk!="!#67$$"0([(\*HWKg!#:$"0)z@4&[")="!#67$$"0)f>Ry#[b'!#:$"06=E`$*[>"!#67$$"0"3;KCCeq!#:$"0%=+D*R2?"!#67$$"0w_06"R:v!#:$"0yr[ugb?"!#67$$"0kFb5&)*e!)!#:$".4$\3w57!"*7$$"028E_![>&)!#:$"0smt<lZ@"!#67$$"0:He;Y^0*!#:$"/K'4p9!>7!#57$$"0jD^-,$H&*!#:$"0eZ&p(\CA"!#67$$"0kFbS_\+"!#9$"0o/L,0fA"!#67$$"0,,-%**[a5!#9$".a%QC#*G7!"*7$$"0-/3;xh5"!#9$"0Bo+><=B"!#67$$"0h@V;UO:"!#9$"0%3A@.FM7!#67$$"0d9HeR[?"!#9$"03K)p!=nB"!#67$$"/.17$>!e7!#8$"0Op#yS1R7!#67$$"028EU7VI"!#9$"0i9I#)e4C"!#67$$"0E^-D5VN"!#9$"0t=\KlGC"!#67$$"0Y#\)*G'fS"!#9$"0Tai2'pW7!#67$$"0W)oP\\c9!#9$"0)zX.HOY7!#67$$"/'>RG(Q0:!#8$"0J[q+pyC"!#67$$"0Y#\)*Qnf:!#9$"0)pil"H%\7!#67$$"/4=OGX3;!#8$"0B+$f*Q2D"!#67$$"/">QwM0m"!#8$"0(pz5%\?D"!#67$$"0yb6tGxq"!#9$"0zCchkJD"!#67$$"03:I?C$f<!#9$"06_'y9Ja7!#67$$"0`06_ry!=!#9$"0#HU^oKb7!#67$$"0#Rycuhe=!#9$"0`yXAFjD"!#67$$"06AW)3B3>!#9$"0">T'\\sD"!#67$$"08E_ar,'>!#9$"/.ef.;e7!#57$$"0Pu[d'>5?!#9$"0Pb!G'))*e7!#67$$"0#['HRa81#!#9$"0.ud`*yf7!#67$$"0Y#\)f)37@!#9$"0req,T0E"!#67$$"0h@V13(e@!#9$"0r)eRl>h7!#67$$"0$e;L#R@@#!#9$"/$Q%3%4>E"!#57$$"0pPvqG*fA!#9$"0tRE^9DE"!#67$$"0(QxaA)3J#!#9$"0V5'H"GJE"!#67$$"0.05I^'fB!#9$"0EE$yooj7!#67$$"0['HfI!QT#!#9$"0;,tpwUE"!#67$$"03:I]%pgC!#9$"0;&e\Iwk7!#67$$"0Gb5r;R^#!#9$"0z"3v$*Gl7!#67$$"/%ze(HUiD!#8$"0WmYqYdE"!#67$$"0mKl?"[:E!#9$"0vw%RSAm7!#67$$"0;Kk[h7m#!#9$"0s$Qvxhm7!#67$$"0/29))*R8F!#9$"0`MF%p/n7!#67$$"0#\)p*HwjF!#9$"09"RLJWn7!#67$$"0zd:@$49G!#9$"0eZ_2AyE"!#67$$"0w^.FQU'G!#9$"0*3;zO=o7!#67$$"0$oOt>T7H!#9$"0'[]'*o^o7!#67$$"0b5@-*[kH!#9$"0#==VB')o7!#67$$"09GcAAT,$!#9$"0pu91y"p7!#67$$"0)e<N)ej1$!#9$"0/=S'o\p7!#67$$"0kGdaXO6$!#9$"08&zdTxp7!#67$$"0LlI@1f;$!#9$"0%Qlz(o+F"!#67$$"09Gc#G'f@$!#9$"0A\;"*R.F"!#67$$"0(\**)f(*eE$!#9$"0UZt9+1F"!#67$$"0e;Lma!=L!#9$"0Z%R(fh3F"!#67$$"04=OA$4mL!#9$"/*38\$4r7!#57$$"0,-/G"H:M!#9$"0YHLbA8F"!#67$$"0_/4y6'pM!#9$"00_g.m:F"!#67$$"0iBZa%z=N!#9$"0[u[Oy<F"!#67$$"0$e;LJ4pN!#9$"0%eZ2z)>F"!#67$$"005?]X-i$!#9$"0"pM([$>s7!#67$$"0d9H[ksm$!#9$"00c&pgPs7!#67$$"0&)pR>&Q<P!#9$"0%f,iUcs7!#67$$"0d9HQCrw$!#9$"0'*e`uWFF"!#67$$"0OrU&)H.#Q!#9$"0XLs>JHF"!#67$$"0X*)yP"GnQ!#9$"/$3nI!4t7!#57$$"0CZ%*o`9#R!#9$"0a>h%yEt7!#67$$"/17C+MqR!#8$"04\ZuAMF"!#67$$"0#\)p\5(=S!#9$"08UlDrNF"!#67$$"0OsWHC22%!#9$"0%*)*)**est7!#67$$"0Y#\)\[H7%!#9$"0Ya87wQF"!#67$$"0Hd9zk/<%!#9$".f*)e3SF"!"*7$$"/'>R)\#4A%!#8$"09^!\]9u7!#67$$")#p,F%!"($"0['e+UFu7!#67$$"0u[(\/bBV!#9$"0R$)*)*)4WF"!#67$$"0"=Os+upV!#9$"/joWQ_u7!#57$$"0$e;L0zAW!#9$"/B'***3lu7!#57$$"0Qw_vgEZ%!#9$"0p=>wmZF"!#67$$"09FaG\?_%!#9$"0Rp;Ay[F"!#67$$"0hAX5x9d%!#9$"09%>Am)\F"!#67$$"0Gc7N!*=i%!#9$"0Hr81%4v7!#67$$"0@T#[vKvY!#9$"0o_Mj/_F"!#67$$"0jD^ACVs%!#9$"0iy[8.`F"!#67$$"0U$oO-psZ!#9$"0yuNw(Rv7!#67$$"0=Nqq#RC[!#9$"0`'Hhh\v7!#67$$"09Gci#)f([!#9$"0:clg"fv7!#67$$"0.17k(GA\!#9$"0m@y-vcF"!#67$$"0yc8FRr(\!#9$"0i<`>rdF"!#67$$"/$f=dOI-&!#8$"0xn.`\eF"!#67$$"/05?'=n2&!#8$"/%[PxQfF"!#57$$"0PtY$H&z7&!#9$"0M@"R;-w7!#67$$"0Pu[2*pt^!#9$"0;1yy$4w7!#67$$"0&)pRRX^A&!#9$"0<M>#H<w7!#67$$"0KjEtKpF&!#9$"0")y'30Dw7!#67$$"0)e<NRZG`!#9$"0T&\LdKw7!#67$$"0>QwAfiP&!#9$"0lB#fPRw7!#67$$"0v],8QdU&!#9$"0697^ikF"!#67$$"0b4>G4pZ&!#9$"0#Gbp=`w7!#67$$"0oNrK;z_&!#9$"0,bqH*fw7!#67$$"0d8FM$Q!e&!#9$"0_4N$pmw7!#67$$"0'Hf=jfEc!#9$"0;Ay5DnF"!#67$$"/'>R=@'yc!#8$"0bm*y!*yw7!#67$$"0rT$o'f3t&!#9$"/nEW<&oF"!#57$$"0>Qw7,7y&!#9$"0tqTp5pF"!#67$$"0Rxa*f"p#e!#9$"0Nl#RI'pF"!#67$$"0([(\Rv7)e!#9$"0)[+dQ-x7!#67$$"0U$oO\KFf!#9$"0%Hf,U2x7!#67$$"0.05]"*3)f!#9$"08d*[98x7!#67$$"0nMp)pIGg!#9$"0j&yw4=x7!#67$$"0v\**GH.3'!#9$"0CHh6MsF"!#67$$"07BY#o')Hh!#9$"0(4#Qe$Gx7!#67$$"08E_/a:='!#9$"0ebW0MtF"!#67$$"0sV([!>!Hi!#9$"0`**HSztF"!#67$$"0oOtY;-G'!#9$"0v?fFFuF"!#67$$"0T#['>'RLj!#9$"0Mp3*eZx7!#67$$"0=NqI*ozj!#9$"0j@WJ<vF"!#67$$"0PtY8(oHk!#9$"/&4E9hvF"!#57$$"0d9HyR8['!#9$"065fX0wF"!#67$$"0b5@#=(=`'!#9$"0#4.&)ykx7!#67$$"0rT$oTw!e'!#9$"0&Gw#4)ox7!#67$$"0d9Hy]]j'!#9$"02X1zJxF"!#67$$"0,.1sHQo'!#9$"0)[YH-xx7!#67$$"0@T#[;"ft'!#9$"03kCV5yF"!#67$$"0*yd:c5$y'!#9$"0KfT8YyF"!#67$$"0>Pu3,Z$o!#9$"/4b%R%)yF"!#57$$"0kFbS[K)o!#9$"/6Ly'>zF"!#57$$"0.17M%*R$p!#9$"0*HKPe&zF"!#67$$"0AW)oxg$)p!#9$"0J!o$\!*zF"!#67$$"0C['H%[b.(!#9$"0$f6eg-y7!#67$$"0['HfMd&3(!#9$"0ar]jf!y7!#67$$"0$pQx7tOr!#9$"0AkWI$4y7!#67$$"0d9H[lu=(!#9$"0fP_/E"y7!#67$$"0sV([\3Ms!#9$"0QvVdb"y7!#67$$"0%ze<h^(G(!#9$"0`z%z()=y7!#67$$"/)f>f0`L(!#8$"/k(["z@y7!#57$$"0)f>R"fiQ(!#9$"0>%z2%[#y7!#67$$"09Fa=G]V(!#9$"0K#RaqFy7!#67$$"0f=P%*z"*[(!#9$"09$eg#3$y7!#67$$"0>PuQrg`(!#9$"/PQ$yM$y7!#57$$"0Rxaf$H*e(!#9$"/))HRVOy7!#57$$"0^,.')*zPw!#9$"/@="y!Ry7!#57$$"0xa44e3p(!#9$"0\vq<>%y7!#67$$"0Fa3PQmt(!#9$"0;eaCV%y7!#67$$"0:Heww()y(!#9$"0a(>!=q%y7!#67$$"0/29))R"Ry!#9$"0$=OFd\y7!#67$$"/*zf4q%*)y!#8$"0fop!3_y7!#67$$"0(Qxa^hRz!#9$"0wXlNX&y7!#67$$"0&*)yd))y()z!#9$"0m&*)Q&o&y7!#67$$"0mKl!f')R!)!#9$"0;.m;$fy7!#67$$"0D]+6*\*3)!#9$"0KL%Hihy7!#67$$"0*zf>dtT")!#9$"0#\s!3S'y7!#67$$"0v],VA!*=)!#9$"0'>q28my7!#67$$"0W([(4$GT#)!#9$"0"*QSP%oy7!#67$$"0D]+rR8H)!#9$"0Ca))31(y7!#67$$"04<M[u7M)!#9$"0iF**QF(y7!#67$$"0pQxaJMR)!#9$"0@IFE\(y7!#67$$"/-/3,ZT%)!#8$"0.\d2p(y7!#67$$"07C[;o1\)!#9$"0(>eV!*yy7!#67$$"0jE`m))\a)!#9$"0UH'=2")y7!#67$$"0tX"H9<%f)!#9$"0N7W,I)y7!#67$$"0%ze<+ZW')!#9$"0*p]J%\)y7!#67$$"0;KkQAcp)!#9$"08Jq&)o)y7!#67$$"0oOtOTEu)!#9$"0'>@Lk))y7!#67$$"0'>Ry?w#z)!#9$"/e/!)[!*y7!#57$$"0oOtE,D%))!#9$"0-'*y*G#*y7!#67$$"0Z$pQnq&*))!#9$"0)f(*f=%*y7!#67$$"0c6BEeE%*)!#9$"0Mz8Le*y7!#67$$"0NpQdIo**)!#9$"0[iu.x*y7!#67$$"0rU&3prX!*!#9$"0n*Q\O**y7!#67$$"0/29Q(3%4*!#9$"0Wg,%)4!z7!#67$$"0Z%*)y65Y"*!#9$"0Q#4$)p-z7!#67$$"0d9HQD$)>*!#9$"08'QAR/z7!#67$$"/%zenTeC*!#8$"0%z#=5f!z7!#67$$"0rT$o=I'H*!#9$"/\u$)\2z7!#57$$"06AW3YbM*!#9$"0%4C^-4z7!#67$$"0'3<Mt#*)R*!#9$"06%3[l5z7!#67$$"0#Rycp6X%*!#9$"0W?4W?"z7!#67$$"0%ze<u;)\*!#9$"04$\jh8z7!#67$$"0\)pRw.[&*!#9$"0:()*>2:z7!#67$$"0D\)phU(f*!#9$"0Q#fE\;z7!#67$$"0sW*))R&ok*!#9$"0_')*R*y"z7!#67$$"0RycBnsp*!#9$"0$e0EI>z7!#67$$"0KjEV/2v*!#9$"0)>iLx?z7!#67$$"0uZ&46q*z*!#9$"0K&)3-@#z7!#67$$"0`067n![)*!#9$"0$\xaRBz7!#67$$"0Hd9fp(**)*!#9$"0==VeZ#z7!#67$$"0D]+^f8&**!#9$"0v%e&)4Ez7!#67$$"$+"!""$"0BVCWt#z7!#6-%&COLORG6'%$RGBG$"#5!""$""!!""$""!!""-%+_ATTRIBUTEG6#/%'sourceG%,mathdefaultG-%%VIEWG6$;$""!!""$"$+"!"";$""!!""$"&+]"!""-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"t6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q&ds/dt6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"-%%ROOTG6'-%)BOUNDS_XG6#$"$!z!""-%)BOUNDS_YG6#$"$?"!""-%-BOUNDS_WIDTHG6#$"%+J!""-%.BOUNDS_HEIGHTG6#$"%gM!""-%)CHILDRENG6"

Figura 15.3 A varia\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYsNiVRI2RzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYsNiVRI2R0RidGNUY4LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZDLyUpYmV2ZWxsZWRHUSZmYWxzZUYnRisvRjlRJ25vcm1hbEYn como uma fun\303\247\303\243o do tempo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=

Visualizando este gr\303\241fico fica evidente que a varia\303\247\303\243o instant\303\242na da dist\303\242ncia se aproxima de uma constante de uma forma bem r\303\241pida. O valor exato desta ass\303\255ntota horizontal \303\251:

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

Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsJCooIiQrIyIiIiwmIiNERi0qJiIjVEYtSSJ0R0YoRi1GLUYtKSwoRi9GLSomIiNdRi1GMkYtRi0qJkYxRi0pRjIiIiNGLUYtI0YtRjkhIiJGLS9GMkkpaW5maW5pdHlHRiYsJComRixGLSlGMUY6Ri1GLQ==

L0khRzYiJCIrWltpIUciISIn

<Text-field style="Heading 1" readonly="true" layout="Heading 1">Maple T.A. Maple-Graded Question</Text-field>

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

with(RandomTools): randomize(): L1 := Generate(integer(range=6..20)): x1 := Generate(integer(range=1..L1)): while (x1 = L1) do x1 := Generate(integer(range=1..L1)) end do: dx1 := Generate(integer(range=1..20)): while (dx1 >= L1-2) do dx1 := Generate(integer(range=1..20)) end do: y1 := sqrt(L1^2-x1^2): ans2 := x1*dx1/y1;

LCQqJCIiJyMiIiIiIiMjIiImIiM3

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 1" layout="Heading 1">Quest\303\243o 15.2</Text-field>

Uma escada de `$L1` ft repousa em uma parede vertical. Se os p\303\251s da escada deslizam da parede em uma taxa `$dx1` LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2Z0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==, qual a velocidade que o topo da escada desliza pela parede, em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2Z0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==, quando o p\303\251 da escada est\303\241 a uma dist\303\242ncia de `$x1` ft p\303\251s da parede? (O que \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2R5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSNkdEYnRjlGPEY/RkIvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRk4vJSliZXZlbGxlZEdRJmZhbHNlRidGK0Y/RkJGK0Y/RkI=, tendo valor positivo?)

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=ans2;

<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field>

evalb(evalf(`$ANSWER`-`$RESPONSE`,5)=0);

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

The Pythagorean Theorem provides the relationship between the distance from the base of the wall to the top and bottom of the ladder.

Both x and y are functions of time. Use the chain rule when differentiating LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW5HRiQ2JFEiMkYnL0Y9USdub3JtYWxGJy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGKy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRidGQ0YrRkhGQ0YrRkhGQw== or LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW5HRiQ2JFEiMkYnL0Y9USdub3JtYWxGJy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGKy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRidGQ0YrRkhGQ0YrRkhGQw==.

Replace this text with hint 3.

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea1`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>The Pythagorean Theorem provides the relationship between the distance from the base of the wall to the top and bottom of the ladder.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea1`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>Both x and y are functions of time.  Use the chain rule when differentiating </mtext><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mrow><msup><mi mathbackground='#000000'>x</mi><mn mathbackground='#000000'>2</mn></msup></mrow></mrow></mrow></mstyle><mtext> or </mtext><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mrow><msup><mi mathbackground='#000000'>y</mi><mn mathbackground='#000000'>2</mn></msup></mrow></mrow></mrow></mstyle><mtext>.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

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

Replace this text with feedback.

with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea1`, `value`); ANSWER := ans2; if evalb(evalf(ANSWER-eval(parse(StudentResponse)),5)=0) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!&NewLine;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="<NO RESPONSE>"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect. </mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer: </mtext><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mfrac><mn>5</mn><mn>12</mn></mfrac><mo lspace='0.0em' rspace='0.0em'>⁢</mo><mrow><msqrt><mn>6</mn></msqrt></mrow></mrow></mrow></mstyle></math><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, SubstituteAll("<mrow><mtext>&NewLine;</mtext></mrow>", "`$RESPONSE`", StudentResponse)); feedback:=SubstituteAll(feedback, "`$ANSWER`", "<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mfrac><mn>5</mn><mn>12</mn></mfrac><mo lspace='0.0em' rspace='0.0em'>⁢</mo><mrow><msqrt><mn>6</mn></msqrt></mrow></mrow></mrow></mstyle></math>"); feedback:=cat(feedback, "</mrow></math>"); fi; with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Feedback", [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): if feedback <> "" then Maplets[Display](maplet); fi;

<Text-field style="Heading 1" readonly="true" layout="Heading 1">Maple T.A. Maple-Graded Question</Text-field>

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

with(RandomTools): randomize(): L2 := Generate(integer(range=6..20)): y2 := Generate(integer(range=1..L2)): while (y2 = L2) do y2 := Generate(integer(range=1..L2)) end do: dy2 := Generate(integer(range=1..20)): while (dy2 >= L2-2) do dy2 := Generate(integer(range=1..20)) end do: x2 := sqrt(L2^2-y2^2): ans3 := y2*dy2/x2;

LCQqJCIiJyMiIiIiIiMjIiImIiM3

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 1" layout="Heading 1">Quest\303\243o 15.3</Text-field>

Uma escada de 18 ft repousa contra uma parede vertical. Se o topo da escada est\303\241 sendo puxado para cima da parede, a uma taxa de 11 ft/s, em que a taxa, em ft/s, a parte inferior da escada se desloca em dire\303\247\303\243o \303\240 parede, quando o topo da escada est\303\241 a 5 ft do ch\303\243o? (O que \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JS1JJm1mcmFjR0YkNigtRiM2JC1GLDYlUSNkeEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GPVEnbm9ybWFsRictRiM2JC1GLDYlUSNkdEYnRjlGPEY/LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZLLyUpYmV2ZWxsZWRHUSZmYWxzZUYnRitGP0YrRj8=?)

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=ans3;

<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field>

evalb(evalf(`$ANSWER`-`$RESPONSE`,5)=0);

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

The Pythagorean Theorem provides the relationship between the distance from the base of the wall to the top and bottom of the ladder.

Replace this text with hint 2.

Replace this text with hint 3.

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea2`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>The Pythagorean Theorem provides the relationship between the distance from the base of the wall to the top and bottom of the ladder.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

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

Replace this text with feedback.

with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea2`, `value`); ANSWER := ans3; if evalb(evalf(ANSWER-eval(parse(StudentResponse)),5)=0) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!&NewLine;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="<NO RESPONSE>"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect. </mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer: </mtext><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mfrac><mn>5</mn><mn>12</mn></mfrac><mo lspace='0.0em' rspace='0.0em'>⁢</mo><mrow><msqrt><mn>6</mn></msqrt></mrow></mrow></mrow></mstyle></math><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, SubstituteAll("<mrow><mtext>&NewLine;</mtext></mrow>", "`$RESPONSE`", StudentResponse)); feedback:=SubstituteAll(feedback, "`$ANSWER`", "<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mfrac><mn>5</mn><mn>12</mn></mfrac><mo lspace='0.0em' rspace='0.0em'>⁢</mo><mrow><msqrt><mn>6</mn></msqrt></mrow></mrow></mrow></mstyle></math>"); feedback:=cat(feedback, "</mrow></math>"); fi; with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Feedback", [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): if feedback <> "" then Maplets[Display](maplet); fi;

<Text-field style="Heading 1" readonly="true" layout="Heading 1">Maple T.A. Maple-Graded Question</Text-field>

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

with(RandomTools): randomize(): nn2 := Generate(choose([1,2])): nn3 := Generate(choose([1,2])): dir1 := ('east','west')[nn2]: dir2 := ('north','south')[nn3]: v1 := Generate(integer(range=1..12))*5: v2 := Generate(integer(range=1..12))*5: d1 := evalf(Generate(integer(range=2..20))/10,2): d2 := evalf(Generate(integer(range=2..20))/10,2): ans4 := evalf(-(d1*v1+d2*v2)/sqrt(d1^2+d2^2),5);

JCEmODcjISIk

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 1" layout="Heading 1">Quest\303\243o 15.4</Text-field>

Dois carros se aproximam de um cruzamento em diferentes dire\303\247\303\265es. O carro 1 est\303\241 viajando na `$dir1` a `$v1` mph; O carro 2 est\303\241 na `$dir2` a `$v2` mph. Qual a taxa, em mph, que a dist\303\242ncia entre os carros muda quando o carro 1 est\303\241 a `$d1` mi e o carro 2 est\303\241 `$d2` mi do encontro entre eles? (west=oeste; north=norte;east=leste;south=sul).

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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

ans4; LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field>

evalb(evalf(`$ANSWER`-`$RESPONSE`=0,5));

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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

Read the question carefully. Should your answer be negative or positive?

The distance LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJkRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0= between the cars is related to the distances, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0= and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0=, of Car 1 and Car 2, respectively, from the intersection by 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.

All three distances, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0=, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0=, and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSJkRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GOFEnbm9ybWFsRidGK0Y6Rj0=, are functions of time.

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea3`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>Read the question carefully. Should your answer be negative or positive?</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea3`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>The distance </mtext><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mi mathbackground='#000000'>d</mi></mrow></mrow></mstyle><mtext> between the cars is related to the distances, </mtext><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mi mathbackground='#000000'>x</mi></mrow></mrow></mstyle><mtext> and </mtext><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mi mathbackground='#000000'>y</mi></mrow></mrow></mstyle><mtext>, of Car 1 and Car 2, respectively, from the intersection by </mtext><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mrow><mrow><mrow><msup><mi mathbackground='#000000'>x</mi><mn mathbackground='#000000'>2</mn></msup></mrow><mo mathbackground='#000000' lspace='0.2222222em' rspace='0.2222222em' background='#000000'>&plus;</mo><mrow><msup><mi mathbackground='#000000'>y</mi><mn mathbackground='#000000'>2</mn></msup></mrow></mrow><mo mathbackground='#000000' lspace='0.2777778em' rspace='0.2777778em' background='#000000'>&equals;</mo><mrow><msup><mi mathbackground='#000000'>d</mi><mn mathbackground='#000000'>2</mn></msup></mrow></mrow></mrow></mrow></mstyle><mtext>.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

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

Replace this text with feedback.

with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea3`, `value`); ANSWER := ans4; ; if evalb(evalf(ANSWER-eval(parse(StudentResponse))=0,5)) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!&NewLine;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="<NO RESPONSE>"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect. </mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer: </mtext><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>−</mo><mn>21.213</mn></mrow></mrow></mstyle></math><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, SubstituteAll("<mrow><mtext>&NewLine;</mtext></mrow>", "`$RESPONSE`", StudentResponse)); feedback:=SubstituteAll(feedback, "`$ANSWER`", "<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>−</mo><mn>21.213</mn></mrow></mrow></mstyle></math>"); feedback:=cat(feedback, "</mrow></math>"); fi; with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Feedback", [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): if feedback <> "" then Maplets[Display](maplet); fi;

<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Exemplo 15.3</Text-field>

<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Enunciado do Problema</Text-field>

Um tanque de \303\241gua esf\303\251rico de 20 p\303\251s de raio \303\251 esvaziado a uma raz\303\243o de 2000 p\303\251s c\303\272bicos por hora.

(i) Assumindo que o tanque estava cheio at\303\251 a metade ao meio dia , Encontre as alturas da \303\241gua no tanque quando 25%, 50%, 75%, e 100% dela havia sido retirada do tanque.

(ii) Qual \303\251 a raz\303\243o em que a altura da \303\241gua no tanque est\303\241 decrescendo quando metade do volume de \303\241gua inicial j\303\241 tinha sido retirada?

<Text-field style="Heading 3" layout="Heading 3">Sugest\303\243o: <Hyperlink linktarget="Wks:../Dicion\303\241rio/V/volume.mw" hyperlink="true" encoding="UTF-8">Volume</Hyperlink> de um Segmento de uma Esfera</Text-field>

O volume de um segmento de uma esfera de raio LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= cheia at\303\251 uma altura LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251

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

(15.1)

<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Solu\303\247\303\243o</Text-field>

<Text-field style="Heading 3" layout="Heading 3">(i)</Text-field>

Esta parte do problema n\303\243o envolve taxas relacionadas, somente \303\241lgebra.

Designando meio dia no tempo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=. O tanque estava cheio (at\303\251 a metade) quando 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; o volume inicial no tanque \303\251:

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

LCQqKCMiIiMiIiQiIiJJI1BpRyUqcHJvdGVjdGVkR0YnKUkickc2IkYmRidGJw==

Um quarto do volume teria sido retirado do tanque quando:

LyooSSNQaUclKnByb3RlY3RlZEciIiIpSSJoRzYiIiIjRiYsJkkickdGKUYmKiYjRiYiIiRGJkYoRiYhIiJGJiwkKigjRiZGKkYmRiRGJilGLEYvRiZGJg==

Existem tr\303\252s solu\303\247\303\265es desta equa\303\247\303\243o, e elas s\303\243o:

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

NyU8Iy9JImhHNiIqJiwoKiYjIiIiIiIjRispLCZGLEYrKiYqJkYsRiteI0YrRitGKykiIzpGKkYrRisjRisiIiRGK0YrKiZGLEYrRi0hIiJGK0YrRitGK0kickdGJkYrPCMvRiUqJiwqKiYjRisiIiVGK0YtRitGNyokRi1GN0Y3RitGKyooKiZGKkYrRjFGK0YrKUY1RipGKywmRilGK0Y2RjdGK0YrRitGOEYrPCMvRiUqJiwqRj1GN0ZARjdGK0YrKigsJEZCRitGK0ZDRitGREYrRjdGK0Y4Ris=

Todas as tr\303\252s solu\303\247\303\265es s\303\243o valores reais, como podemos ver de:

NyU8Iy9JImhHNiIsJComJCIrSHouNUchIioiIiJJInJHRiZGLEYsPCMvRiUsJComJCIrdV8keVQnISM1RixGLUYsISIiPCMvRiUsJComJCIrJylmWDwkKUY0RixGLUYsRiw=

e somente uma delas tem LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1JI21uR0YkNiRRIjBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSI8RidGNS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPi8lKXN0cmV0Y2h5R0Y+LyUqc3ltbWV0cmljR0Y+LyUobGFyZ2VvcEdGPi8lLm1vdmFibGVsaW1pdHNHRj4vJSdhY2NlbnRHRj4vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZNLUYsNiVRImhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GNlEnaXRhbGljRidGNUYrRjU=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkjbW9HRiQ2LVEiPEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZJLUYyNi1RMSZJbnZpc2libGVUaW1lcztGJ0Y1RjhGO0Y9Rj9GQUZDRkUvRkhRJjAuMGVtRicvRktGUC1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvRjZRJ2l0YWxpY0YnRjVGK0Y1. Esta solu\303\247\303\243o \303\251:

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

L0kiaEc2IiwkKiYkIisnKWZYPCQpISM1IiIiSSJyR0YkRipGKg==

Com LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEjMjBGJ0Y+Rj5GK0Y+ , isto se traduz em:

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

L0kiaEc2IiQiKyg+IlxqOyEiKQ==

Repetindo estes c\303\241lculos para encontrar a altura quando metade do volume inicial j\303\241 tenha sido retirado requer resolver a equa\303\247\303\243o:

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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNxNUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==

LyooSSNQaUclKnByb3RlY3RlZEciIiIpSSJoRzYiIiIjRiYsJkkickdGKUYmKiYjRiYiIiRGJkYoRiYhIiJGJiwkKihGLkYmRiRGJilGLEYvRiZGJg==

Existem tr\303\252s solu\303\247\303\265es para esta equa\303\247\303\243o:

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

NyU8Iy9JImhHNiIqJiwoKiYjIiIiIiIjRispLCYiIiVGKyomKiZGL0YrXiNGK0YrRispIiIkRipGK0YrI0YrRjRGK0YrKiZGLEYrRi0hIiJGK0YrRitGK0kickdGJkYrPCMvRiUqJiwqKiYjRitGL0YrRi1GK0Y3KiRGLUY3RjdGK0YrKigqJkYqRitGMkYrRitGM0YrLCZGKUYrRjZGN0YrRitGK0Y4Ris8Iy9GJSomLCpGPUY3Rj9GN0YrRisqKCwkRkFGK0YrRjNGK0ZCRitGN0YrRjhGKw==

Todas as tr\303\252s solu\303\247\303\265es s\303\243o valores reais, como se v\303\252 em:

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

NyU8Iy9JImhHNiIsJComJCIrVV9RekchIioiIiJJInJHRiZGLEYsPCMvRiUsJComJCIraykpKTNLJiEjNUYsRi1GLCEiIjwjL0YlLCQqJiQiK1lrLkZsRjRGLEYtRixGLA==

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

L0kiaEc2IiwkKiYkIitZay5GbCEjNSIiIkkickdGJEYqRio=

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

L0kiaEc2IiQiKypHMmFJIiEiKQ==

Repetindo estes c\303\241lculos para encontrar a altura quando o tanque contem um quarto do seu volume inicial de \303\241gua requer resolver a equa\303\247\303\243o:

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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNxOUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==

LyooSSNQaUclKnByb3RlY3RlZEciIiIpSSJoRzYiIiIjRiYsJkkickdGKUYmKiYjRiYiIiRGJkYoRiYhIiJGJiwkKigjRiYiIidGJkYkRiYpRixGL0YmRiY=

Existem tr\303\252s solu\303\247\303\265es para esta equa\303\247\303\243o:

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEkcTEwRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEjOj1GJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUy1JKG1mZW5jZWRHRiQ2Ji1GIzYnRistRiM2Jy1GLDYlUSZzb2x2ZUYnRjZGOS1GPTYtUTAmQXBwbHlGdW5jdGlvbjtGJ0ZARkJGRUZHRklGS0ZNRk8vRlJRJjAuMGVtRicvRlVGXm8tRlc2JC1GIzYnLUYsNiVRI3E5RidGNkY5LUY9Ni1RIixGJ0ZARkIvRkZGOEZHRklGS0ZNRk9GXW8vRlVRLDAuMzMzMzMzM2VtRictRlc2Ji1GIzYlLUYsNiVRImhGJ0Y2RjkvJStleGVjdXRhYmxlR0ZERkBGQC8lJW9wZW5HUSJ8ZnJGJy8lJmNsb3NlR1EifGhyRidGZHBGQEZARmRwRkBGK0ZkcEZARkAvRmdwUSJbRicvRmpwUSJdRidGZHBGQEYrRmRwRkBGK0ZkcEZA

NyU8Iy9JImhHNiIqJiwoKiYjIiIiIiIjRispLCYiIidGKyomKiZGLEYrXiNGK0YrRispIiIoRipGK0YrI0YrIiIkRitGKyomRixGK0YtISIiRitGK0YrRitJInJHRiZGKzwjL0YlKiYsKiomI0YrIiIlRitGLUYrRjgqJEYtRjhGOEYrRisqKComRipGK0YyRitGKylGNkYqRissJkYpRitGN0Y4RitGK0YrRjlGKzwjL0YlKiYsKkY+RjhGQUY4RitGKyooLCRGQ0YrRitGREYrRkVGK0Y4RitGOUYr

Todas as tr\303\252s solu\303\247\303\265es s\303\243o valores reais, como se v\303\252 em:

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

NyU8Iy9JImhHNiIsJComJCIrXj1DVUghIioiIiJJInJHRiZGLEYsPCMvRiUsJComJCIrSDpuVlEhIzVGLEYtRiwhIiI8Iy9GJSwkKiYkIis8SURAV0Y0RixGLUYsRiw=

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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSRxMTJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GOFEnbm9ybWFsRidGK0Y6Rj0=

L0kiaEc2IiwkKiYkIis8SURAVyEjNSIiIkkickdGJEYqRio=

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

L0kiaEc2IiQiK01nXVUpKSEiKg==

<Text-field style="Heading 3" layout="Heading 3">(ii)</Text-field>

A rela\303\247\303\243o fundamental para este problema \303\251 a f\303\263rmula para um segmento de uma esfera cheia at\303\251 um altura LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiaEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= e tendo raio LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= dada em (15.1) onde r \303\251 uma constante (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEjMjBGJ0Y+Rj5GK0Y+ ft) e V e h s\303\243o fun\303\247\303\265es da vari\303\241vel independente, t. Escrevendo (15.1) de forma a mostrar sua depend\303\252ncia de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= explicitamente, temos:

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

derivando em rela\303\247\303\243o a LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= ent\303\243o d\303\241:

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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUklbXN1cEdGJDYlLUYsNiVRImhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtbkdGJDYkUSIyRicvRjtRJ25vcm1hbEYnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrRkFGK0ZB LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjZGhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEjZHRGJ0Y3RjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj0= = 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjZGhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEjZHRGJ0Y3RjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj0=

Este resultado pode ser obtido no Maple, se primeiro, for colocado a f\303\263rmula do volume como:

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

Ly1JIlZHNiI2I0kidEdGJSooSSNQaUclKnByb3RlY3RlZEciIiIpLUkiaEdGJUYmIiIjRissJkkickdGJUYrKiYjRisiIiRGK0YtRishIiJGKw==

e ent\303\243o derivar. O resultado do Maple \303\251:

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

Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJWRzYiNiNJInRHRilGKywkKipJI1BpR0YlIiIiLUkiaEdGKUYqRi8tRiQ2JEYwRitGLywmKiYiIiNGL0kickdGKUYvISIiRjBGL0YvRjg=

Os valores conhecidos s\303\243o:

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

NyUvLUklZGlmZkclKnByb3RlY3RlZEc2JC1JIlZHNiI2I0kidEdGKkYsISUrPy9JInJHRioiIz8vSSJoR0YqJCIrKkcyYUkiISIp

Inserindo estes valores na equa\303\247\303\243o obtida pela deriva\303\247\303\243o da f\303\263rmula do volume, obtemos a equa\303\247\303\243o:

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

LyElKz8sJCoqSSNQaUclKnByb3RlY3RlZEciIiItJCIrKkcyYUkiISIpNiNJInRHNiJGKEkjaCdHRi9GKCwmIiNTISIiRilGKEYoRjM=

Resolvendo esta equa\303\247\303\243o para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjaCdGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn d\303\241:

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

L0kjaCdHNiIkIStOSyUpND0hIio=

Assim, a altura da \303\241guas decresce a uma raz\303\243o de 1.81 ft/hr.

Figura 15.4 mostra esta solu\303\247\303\243o computada no Calculador de Taxas Relacionadas e Diferencia\303\247\303\243o Impl\303\255cita.

yIpyIr<K_Tn^T^;FZ;BR<`:Rr?BqEDXMeSFcCO?gd:>F;B:=J:>F<j:J:JZDnAJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BJ:>BV=ofZEj:JJC:ufZE:>ON^BX:=:;:IC\\AJ;B:;:<s=J::?R^Ej:JRC:=b^E:>QNZLh:JZC:Ab^E:>s:J<Ds<:[P:<j<Ds<:k@Gb^E:>V<j=Ds;F:>:>[LX:J:j>Ds;:;:Ob^E:>W>ZZx:>:j:<t;F:>:NZZX:J:j;<t;:;:WbbE:>X<jADt<:kA[bbA:;J:jDDt<:;R:;jEDt;Z:>:rbAj:J:j:Ht;:;:J>@:OB:_R:Aj:B:=B:N];f:J><:qR:E:><<JN@j;:?B:na;f:?:k:yS:EJ=JN<:]b:Ej;>:k<ab:A:>:^\\<f:G:[]:FgA`:=:KR:B:vyUuJPj;LJ<Lj;PJ<LJ<Pj<PJ=XJ@\\j=Xj=XjAhj?`J@@kADKC@kA@kBHKElkEHKDdkD@kB\\kJ\\KGpkHxkIxkCXKKLLKtKLlKIxKIxygS:ER;Er;Gr;WB<Kb=wB?]B?wbAwbA:::::::jy=fK>[;^u<>e=FZ\\b:]R:AR>=ryCpIR:ER:=R:=Z:>:;:@J;HJ<PJ=XJ>`J?hjyMfo@<?R:Ar:?B;AR;EB;CB:@jx@J;HJ:LjBPJC@lR@N=Hkb@p=DlrLKS@rBAT>HL[@uZQKc@WrMlSDPsDr>dJEXKF`KGPLMXLN`LOLmTTmU\\mVdm[Ln\\Tn]\\n^dncLodToe\\ofdokLplTpm\\pndpsLqtTqu\\qvdq;Mr<Ur=]r>eRCISDQSEYSFaSGEtKMtLUtM]tNeTSIUTQUUYUVaUWEv[Mv\\Uv]]v^eVcIWdQWeYWfaWgAXkIXlQXmYXnaXoAYsIYtQYuYYvaYwyY\\w];r:=j:@:B:>:@J;^::Rg]B:?R:?B;Cr:Cr;EB;Cj:DjuFZ<VZK^Z?F^knZLFbKwZ[GhMN^lFjB^\\<Gl[Hp;I[]V`L?xONflGtDn\\^^`[i^ky\\RF=GsCK[on`q::::::Dr;Mr<;::::::Je[\\Yv^=NxmaX:oP@Hj:NZKVZK>ZyRwqsZ;gTiwI[i^OeasBgeXGQExAuSgvs=RRIFCEh<AY@Or=aDoaFwOW\\qErIyi_VjsSC=yveE@QXkcGswUHGXY=VmQtSEWjKGPkiRGHxUEgyg^wX@GEHqhA=cE_SLsrh?ckYRQ_xEIRcUEXWfrQSd?Iv[Fg]gHaEQOGC]uk_ikAgsqsK[IfOy@KGIaIQmdkmu[OHOmcbyxFQeuoCVkdDkWlMdKOHlGX[sYEwsy;rC=hXcr`sbkEy?kSRcHVuhKEDIIs[yCtITnyuumxydKjmy\\Pqt@xiURGuuMEToLRFmqaTybXqDDuRLpo\\tk=S<eW_yNP\\MH<U^mk:Eo[IXvLuOioVQy>xin`__gtXWr?omqWcCo_>HdhWmGQ`>>cpA`ogvNOL;HlYxdOTgoS^_TQWdX[HWGYrkXugIXYeyCVYibyuya]ybIe[ay]kYJcIQyqeIMyQm]Ink]oMAYdxnq@qG\\ps\\YcpMklWaLNaDyXYWCeTfXx=xKQlWI`PUuWYtYbUWX@mqTtnmnPPm_hxwiluauEMPEESgXVYQNg=NaYj`ES=X^@fosOnFqsIyf@xYKyK]@N]WomVnsyFvAFtm`myWoyVvVojKHxqNrqQypfoeXoEg]xXmZOqCPucY_CogHIdHw\\hIafg[GXxGNsIOeqHvWxdT_t]HxSaq>PeEQnVaqpFthGeF>^S_oZp\\VFaHVhX`xmgbGf]avl[asaoyJfiQv]oasyU]GsmUrvyQDtm?yixwsrytX`ypFxWox[Hf_WiuOowQqOaavNmHHpo^vcFgpYeQHr>Wb_AnkvqHYh@`]^G`cQeAvrmpeVAgjGgT^^Gh_YAk@xjyg]FInTNuY?_CQx_qbfyos>^HNa^OkVGx=NpSIvxxqjYjbaqyunacycciyt[as]kaYWypyi@AquyaCpuV^qIHdPPtUVq_`ppPldI`hGwevsNNhBheDH_FAe\\W]InsIYm_phJgsI^y]veUylxfdfX[;fmFylbVfOorl_fAFgMGutH\\sYdv`bmvf@xY::yqJyk\\PyyodyorsXgYo]cyxjVu^Pe?GyxxlUwk=Wgm>^<wplnb^_kQ@fl^KmIf]C^mu:ofhiIkqbK[yMgic=F;_xquXtoU]UifKTOwumgYG=uDwgXUI^Ebpwsw]TZIDG;DugGXY=:::TXXYoNiPExm?LuY<KgtVKluXis^`OlDy;alExJB<S:@n;@la]ua]KOAOxlncUlcyMTIw\\LWepWTixHuNRHw]HsqppNdRuhxZENVHo_uR]`lsLNAhvmXrRxSvA^VwiQY`xa`u`asvY?dIQvyjeamMtRtLurmJgIpnYYkDwFLUnMTYul:AJYENrmq=Ux]QnVTvSdsmMqyw]IgfswYerBQT?KWoeypAEIKt`gtDESE]GosYpQBlAsuarZSfVaEKKEwudas:yjywqa_ybGu[ystI\\nyeu]jhpgqhhyrCGtoG]nYieA_og]TosGAeG_[GpppW]CnxsVr;Vxcf]dyaDVgtooy@vY?\\ewdPF\\cyxTfi@YngO[AA`SXhhw]ANwBNyV^fjGhIom\\NaGnqUvy:FN:MeWkuVwI[u=vorVtvhefHwxI\\MyoinvU`dLxx;io\\yZOXfDx`;XvCnv?bDerj_fdItH]u^ovZsTviH\\UCb]i_AWT;U=iw[cyDQrhee^kE\\efeaFVgFJirC=bf]BLDRADQR`UkAoniWx`myOBxixKcmPrywI@y[\\XXMyxawyO=SGYIUcqHXOwk=xw_GmoY`gfqOXXCEhCFfog_ySF[dbUEEuW:eu@=dDqCoQTvQrLyQ<uocuoGyNGUwOpY[pOYpVQxlJ\\r`llp<LsDwR\\W?mMSEQhEq<tMn@uSdtfAxYeyBZyS]wv@WxI=ay;LxqumK\\PBewguog\\wilWgqnJqSs`NddtvToOYmCALOXvLPwRQsHTnrDWNiPiaMdmLk@YPEunxpHXs=YpR]NqqlMYnDIXVMophyitru`t]=OFXY=tRn@tHTxaujy<wAEtywumpYqFIisyDN]hraqySxmkmOiqukipOpjmDobqpppj`qxXqslQvGmlvUrjqtCmqRYs;\\J_=M^hVIhMHdJ^YRkEKgaOneWIyul@qmPkyoj@?pLw\\H`bpGg]^kbnyjfr^`eawkYpm@pkrGjWawjyuwA[ty_wYyyVv@wsGVvy>x=tiiIuyqA]UPUkrMrGptpDPcuTLQWMTwM@Wi`VqHL=hKVIPSLkn`JgMON]Vj@M^ExFqTvttA\\yd@MvYx[prMUrpAPEtStxqtPTFMn?@RbilC@spYNT<NnUUvmprxiBnaExYwum@wSIvIMyK\\xY[G`dQacXQ\\KqmuWyshpcOe\\?l?G^BgfO@pEob;X\\`A^<Fhn`mInrrpvryjd_i?Wfs_]Lpq=hi[AqoY]b_rZfc_^rQPnWY\\Mxra>]v^faOmsNnmRp=ym@;J:uSHpXjqqEtyxCeuyModHwtb;Wtoha]vVUuVSwLeE?KufAC\\SH>mVLScI[IRCG=ieeqtL]ysgi[qW=wHlUIwquaOrJSWJYUV?sBmFcqWFCrq?fF;l:xwUepVDtK\\ufAxSyilnaE<DwvuQHxi[<y_eWkpHxjatovoEVucQuUg_XXoo?oUoeCYhivl_^nPHkthbDnbHOapaurBAcx_yb>cC\\sUFMwTYgcyD;cwnUWwkDRay>uUmsfvmYNOh=[uigcVUglWvFUHA]HReuxssG<Zx:Bu[ysuI<oANepNuvOt<ykff[=^]`q`ZgrsGwKxrIwcYOgQXykvy:Vq?Ov@ncIq[y?T:lPrYH:xwfyrxewYHuIhYTuoJHqMXp=y=Z:bGkuVJykPyPpYVyqxI`wAsE[RhavfAxa>wy<Uv@sSH<J[:ntqpx]wYgu]Sykv\\B`eCIu[yS:GX]l;=?;:howAmysKgyRr\\ChECEu[ysuArrMtfAxa:fkewYGuIiITwImyeu]HXEFmUfasZ[<RT:tyx;FwvAoxaSxS_iR\\mj@uC:BTvSLIRgyqSykwYTsItwAmyOqyO_i>\\ln`rWH:HdAxA:dkeuY`yAxRpYF^q:GsSIV:VlawJ::::\\vfAH:pbV:riVgYWykvYrIa?DtrIjKXp=;ZWoM:ZU;::::T=ZwmPyQpYFnYj?;:Jn::e_m<A?jQbWkuV:VN:ZPqyFyIvKZvlN@XayMkYrbyAr^Ydf_XWqbcewnwWAMyG_dK=Fs?hDOg:KT@WCrauZYVbUwFGwIiyP[I?UI:uvIoDo]B`MGTUsmySPKeWqU=]ryDvRxiNwqBwYyGnyUvoxlcXucWYgCsoxqsyHaHBkGDUGA?EFwIRICToXOKxC]UNSvsCsOCehOWHmyCGdwgtm_ieYUk_SyIgPaG`]cBKcrUsZaXyWc@kfe;ILsCGkG@kyQCgY_cjYRsGyxOveOGTgi`UE]ivgyF=cIdUirGYLcrkGSjOiJKhMuSvEXOiHGQYqqUkoU`YfkwfB]hbewLcDLScUkDKqXuexlAeX;fVsXweIdUSRwgnSCImDcuHXaVOghrgcGaYJECyEgq]CC_e[=d_kS@;dXeycerWYuvcbg_RpcwHQW`=ifkYXEWqkBPAW_KBZ[sxAxs]vVWFxMgqgHjWsukiOoSPAr^MFbyI:AYoMxlmUS=erucNucNChQmhcEgDswHmFQ_FpGbFIGV[f>gS^WHuAe`qXvWCawfAeW]eWDWUwMeeqXSAFqIXfSC`KcR_GuksG=tM[H:ExKSsDMHXoVugGgKdxmTScVBoCVieUMtYwdOYStohcQvTMUWOWtorEgYGEY\\_sMerh?uHEVJmgb]fF=TC_UOIFM?vFsf>[Gius>sDxqCkivQicAkusYGyquEydXQsn;GqMYduSp?yrKedeRsWtHYsDuVwIx[ysgwg@KeOgbhUh[mFWhO`pxsxJH]jBpYcATdmRlIQIQs<xi>`aGGi[xi^gc]iu>VokVxhnZPXwvFlaYaEF[Aia;vivHhQaaNq]FVtnVwqaqeWwEVg\\pltAiM__[op=@gSpreOnyE[aujyI:cy:axi[YAyejmWVkcXeepeT?UidaScoDWiVhCESKuypJT@JjYJrusYqtZpqGdpYxpsmp]aW[dU_EU]PkuTM;LSHXp=dWTQyqXRYiJdyTqyTiux_hpGis<eUSdwhay`PK[AtAuvAykr`w>ToKxX@XPBqj_xiBvvAxYKY<IwY;iHyI:EvA[i]kuYwIZovWwy:YGxgT\\EcboU@MXhQT`[fTyh=ss<OGiasQoWm]U=_VpUskoHLivlmd?CTUyxqmD?kcU;wsWgTQrMGfIIRgoggqwgsW_WSUeWPeGTEyxwtPUy>GSlaIaEICyDiuW<CSyYsY?XH;wY[x>Wty;Bjeuy;b<ySrsBnyCtMrc:qSB[RPsUH[YIWW^KGT?wRwS_uuUgiS]gaSIi[sjYXl[rIOyoICIiUdswI;yMOBt[xT]tJOGQuTASeuyg^WyuSh^gTFmEKWIj;CuAitasLyI:Tx:yi:gcuvY=rosIDyI:CvV;ty;BbGSayQ:iXyMk:PNyYKvDjhXka@wmQPGuv]uNWDpKlwmqVU=X>MxYPVTQrllmD@pBerC@xAERcXNHepUTpnQUVPqqPuTTylXkBYTEQl^]kvYS=]k[IQcytyDF::::@JkhmQ<JvtNZuw@hmdluRerl]OPTmuQxKPUmDQp=wA`YmhNCXVNYxceRGYVZuu>PUrmPY=kOhPYxRS\\NCAVPhuUarGHQCqq_lQ\\mrsxVDxWvYNTxJwEjnxWvujYAx]lyKds=py:Lmqmy=xOr=TPXp]=yW=v_aqHhxipw_DQGqTQyTmaNx\\oXQWXUPT@sXEQ<UrHxJidlFtMClqYtmHXr[tRqExG\\q\\Dx]LlePVm@khtpSLvi\\yBiRtpMRhM?Uwy_J:yI:jyDvV:>Rb:AXwyB;keLyI:?hOwD@kwhUX[]fg[S>[E;AFuSYegrPwg<WSYqeouri?x=IF^MU^MYnYXHiw]WTiaXOUTvICuiiMwDOYhe?ILWubIgLmxy;B[::::JPTRsdmIDv@ulI\\bxHpbPwPWxbykHflwYmfwpAoa__mg>]mnn:NfC^[Ax^Qioiguva_rIiowiO^udxjEaqv`qlicHIfqWqFxblG]tf\\jW`HxrKptixY?XH=yydY;`@:fy;:NnBA[hnaX>yDwvAopLqooWgSiwgy_gxwg_kqhvXx\\:pv_NdyGjkgkxhmmwdnwoA>iM_ckptff_hNrSOwmysw^ry>gDYnHA[Qdu=V\\USZ[ha]CNyQ[?N:jY::PRG\\jKUTxAMrQmIURQMm;`qXPWLeyfDw_lWixpFqL><L\\xrAQS]\\qkIYNUXvYOjaLPQqWaMQUTvPuXemeuNYUJtQXkUUb@uDxM[AVZLJAquaPmLyiBZ:>B:B[JJK:ZS_[voeD>xfpa\\VkXwpNa^<`wsof_OkeafQg_T^g@glAn[:ahynmdgmyXriWZUAylg]Dnu`Aeggwihfx`pSx_kFhg_aF`sIa]WHbEyq]GrAQgmxYK:::::>g?f]YGvAHjo`gUXyCivaGt^Gt^vgphmIQgha]<xcuB:iUwUYMehiiBXirNggoUcuYwC]rtgcw[wQKvegSXGGpYW_IsfUf\\MRA;TjeRbyI:K:<>:::J?PvR<y]=vK\\o?MofPKldr_`TC@kr\\repxNDUjMjnUUaLtyhqB=oyDvM]YxTYwpqHqV\\YUr`PwMOGMn>pMmmYgHuOMrMPW?tTeeXUxR_Hwy=J<WRLIf]yOrI@yA_ayvy:>bwVay=<WPXOU]ys<XNyqSyopEu^@adygdxrkg^PIw_FqoO_lQcy_kO@asnxePaaFjvf\\^@y\\va@Vb^VdbIp>ItBnghv`pprl?yg^tZqmIFd;HwCwy:>[aM:vZaxiZ=yZr[twhxue<OE\\KyIJrMUeUwruooXqeISglw?isghu?qye=KVDOVYOZEVDmL<IpDuMXUwxxU[yP==ynTYudlBMUeTq`Hp>hQCaOjHm>PsSXWl=S=HndAQgxQruB:FdyAZB::R:=e`iFZsyDMgPkTKuEewtM]ucsXL]uUouwCHqQGlEGCQxy<klDPLIpBaobmqL\\ystkHIPlpTs]WfulIypQdwReL\\DsvAuHIVvEwa`si\\TLdyBeoI=YA;:::Z\\glaXriVZT_eT_uUieCa]pQq^Py^PdwWo^fctfwV@\\m?m^y]sw[YNcgx^<y_APdbOehPkmQsfgxe>igieGGwWa[K>s^nkRVmdpbiPlQ^uPypvY^Xx]yEbwRayAvImSrNy;FwYAYyOZ\\OnEogandHjpUwp=RShNlISoaPiUnBsIgvy;rwkheaey]rmYry<wAtny;OZV>xyAZwIZnZYCbLQyTnByIZ]@sLyaaQxYqyui\\Hyi<IANy<:vBZZp>:Eb]YFl_xIZNFiTvbvqyUwYyhRmwmkyKsky?bGWayU:>_yE[Z>Vty@X>jkHtsQ]AcyrqxrK\\nywmEyiuawQGayA:B:`:;iHrA>I<RGoYYObNayV^B;RNCYTyrvmyUyqxdrmymjm;:x_]pyKvsIJbIKa:NZAyb^IgY:pavfk]nyyg_yuu]GQIIyAcaBbJ:ky::yOZbyYHcyumEyiuiwKsxwS^yqYTuy=:W?Jb;jY::>NxqmDwYXXuyWyiiwwmBwYhwyhiQGA:Zt:>IJywOjSaxIHywypy=jxnaIaNpxYqYuiLHyY:LB:jACIBJB:=ZbV[Wv]SaxIHywypyAZxhrYvfL=f<:oAkqYwBtC<D:EZfQyA_yxYuyAZYQFaWtHIfIIqj;ZYsbwaIJbI;:?Zpii]jpxiiuKmHwY><:auatRv:vO]ty;B<Jn[tZ;Vf]XyxFLx=rbSixI<bRm_A_A>B>Z;JNxi><:>JpyI]>y>@OuqqK:^EnM>NBZrYZt]rui<>^NZb:x=bejABna:ZyBA:rQ<DrXwtpyqiEPVykIhOhAvQaSpLM]QWpuLPuuaEMZ<vy=jaQol<PAXn_YLghg:^JJ<Zcw[@`yxFca^bMQpHwi]iuyOrhTs?UfEiXyc[UEGuDJyDtww:cHGqY^abJuD@gWNOf^KrCuRN]UtYXeceggcPUXuGVdschce__YccWLYEAWY>GYWuFC=sKycjIVvWGikuUAxy;j;vqjuYXSyAkYyjy=ZIrsYgxosvoiOwvpKXHYtHmggcheWCssgIyRvuCi_IcMUDegikUOsIgkHcKGCWep;BlIhLSeXged_IQItU?wtQTCOIC_SMyeVCe<QvhYEmyXWitXsV:WxT]xY=y@[yy;Ry:Pty=J<SxIrxYbMAiyuv_sIDgYfSiEadlswNEGXaWLkY^OgTohGMVIOYgsx_grW[cBOD\\CC@shFkE^aeuqSWSG\\UEYiUAGVb;EYasdQxTKgEWsRgV?[Ek[RjwywWB<KXVKxCUwXyDyAcQwRu=WtAhyuxosIDyQ<yp[yWtIjcyrxiuQ]yeHj[QnWmwuatmQqJPkEtnPhtopppAU^]qWPnWIWYuJv<So@yLqStAyhlWLtj[mVdDY:Lj:=WxMrkEW?IukqvQpNREr;HpjpPoLpSMw;aybPjhirN@MHAohLWK@tGHl]MvdPQoeMCAWYUv=IvqquyxiV_`yAZwa^DOwIytRvvoNsvoauytyAZoYrIwy:Nt>ooDpxrnvTPssVfC?\\Wa[e@o_wa]nm;WwHY_cng<G_eQioqmO`apOxUwuXaetF]Fo\\pnr\\Ac\\a]SfeN_yb@[]faBI^=?\\j?woiyPvfpXcgocLAwVApKfyX`hxO[Q^[x_g?Pu;nsr^urNoTojGxiPNptxsAp_nWyEvpppkLihr`piF\\Gh]^yb?ObrHlTwbvNlgXqXPjrhwEGvw^kx^\\xPtfpflwopo_=gb<V]cP^G?aSanUGuOHelYc<^ri^sAg]d?bhyt>QmE>s;h`uwZH@cFXolfe>GfTq`]wvWakJ@vIHdMHwI?qQaxRW^CXmP?p]gaepuUOnVW^w^rdfjEars`sEhpCOskIjXwg[`yuftoveNv`D`q;gZGXjEOoAYi`vmpAajIv?GoZObBOwlntAaZmH`DYpZgvdggMGvofu^YuQarJnryXgeOlvFk;vy:vkcxfBNZrpdR^lcp_RNj]pgOAaZp[PYy?Quw_pT`gjGwtqs]p^_XfwIn>ndPn^`?\\vwmm^yEypwQfFn]lgiexcuydEWyUOeyOgRgi_hflQeY^p`hxJhw<i\\HYbvGwlixsytNyfHxtvgZgfyAyj_OxvF`bhk]>cTVh?gocwokW]jF`xgx<>pTyimokvy`XGaDym[qp`pmcNthiwh_wFNatgeIGgjox=PiDygZXqDHaRq`qQd\\IdlAfdnorofnFZby\\XA^Jao@ogohotv[LxdEf^NQg>ibMH_:^mphsg@qH>msVuDXo_@yyXrQPygop]p]gXgGfoKIjggnrHm\\V\\nFtf@kEHqs`gpn`XPhBvrS^aovu<YeeIo]VgIP\\;W^oxxUq_^n\\Ip]mqxQIqTI\\^O[=G[DVlZ^iOfZjW[DNlAIvxgnggf\\f[egccownGl^`uM`fxQe:iggfoWYvUNp_vy:nbLGq^f[^A\\bWZLigiawhng_hppxqoPmrob_okcFlXI`sxl`AdCw]lflCArBY^hHh=VgtO_oPtpXp`Homxih>wU>qmYZZimipsJGvR?vmija>noFj[yc>Vr[iy=WcuPjeohpNhdQhGQpIf_hPehifKHeBhaN?^LGiIIdFP;SiIeBIwsDagoWSgqtPQwXqDciFuYHUIimQBFkf?_dscCYSfReCOCb:GRL;g=GywChXESb]WPesDIuXgIZoDc_CeUfDUhBGh^Ks;GcFSx;mflSf]OU;]iMwVWqVmcSPOy`SEC_yuYc`iXUcV=CIeCHIEHfkwK?TLkR;;VmTqYpjQplqpxLqnixNRXNPAvO]NIHVt@tj]uvTKVxSuHLcDsDpL;IQyaVKTuQlm:PTiXu?QpVinZhQkQKCykUQLKqQKuwELU?IJFTq^APFirk\\mvyUC@jbqWodwdLtPqJiitjxPOPScDUhELRpLTul[<kZPlcIjVQqoASdPyQUKvhP^`qKLwTpUY`kk`U;UWntucaKCakMPQfHVQmXMiNlDS=<jM<tTdva=YoIYcXwtprs`OdMyWir`YNahUTyr_AUjTuQqMT=K=DNp]op]OaxN<XR]]qNYKZeSLUOeTybdPGhl]IPNYnyXPPdywlMmyNUYntDL^iYVEobLSpTvZpofeWnHjOYuruj?]L<umNapqlLRQM^Erw\\RcyoNhj=<SMmx<ikGpLbqpVHl=Dk`tTn<SgirNQuPEmWxQXhwvxvv\\ka`Mv@MqXlG\\yVtNftKhYOIyU[isSAxwqS<hPuxok`uPhM_UwqXXPDx=@R:Hvkdv[aljXy>qw;mRkXw>uyEpRchnRIPNaOfAnXLUu@U[UUqiRqhRp<LPTtEDN^dW>lnvMpC`ugdPjHjOqurUoFiPjXU;qK]\\XU`TMDsBeOgakLDsjek\\Ppd\\Vj]kIUxaANIExPaOvIR]du_DNWQSXEmh\\VbIvq@QJdRuPS^xJBpRRUv\\LL;\\SL<Qw<kaXmp<xXUn]EVwUpGApN]oTuxIqTU\\TCmog]VbuU`xwWeLQ]kr@mvIrstRHQw?xW=ElquoAUOVMwPtxM`uDUPdmudqsktlMHMETRVLxdlMHQjE]q:LktqLBujeiywHnwql`YWuUxEUyo<P=ExyTu\\DuH<XDtW\\Ax[DJ?LX@uX<LPkTt?QOcQXXeRaqMaTv_`seLQbPL_aKLhk;DsOmSBQkbIuxUw=@tFDy`ijjuoMYL=Mqb`th\\WgyonUwbmLU<U]=Y]iKttRkYP;QNmpPcUUITmF<XUEqfMwAAx\\dTnXSGEPieoZUy_itftkohQ[LL^DTU=MFAVuDpvX`VqcqVhLHcZp[xx[Q>i`WhxfsqwcR?fr?dViqDA[^FgOOkfNhPNufqhqVZ`PtkvdHio_HiQA`WPd;ifohk`@q=OhUHnG@eeX`F`yZh\\ZGcZi\\ZNxGFixhnjQoqAdyxmMWqNap@XqY@[jYriWhi_gQFsRGeyhhd>sfabboi`?^hAf:Aj^peYHvnwaZopphpx`pq@goV_w@bBi_BVxTwb@GkVoZCY[_Q^q`abHyj?bZp[Wi`wp\\B_wWg`Wh`QHd\\opFwpkGllGb;I\\mWy=amwouO@nIfqsotg@x`iiY?e=`dNqgnojX`bKnuAiZn@x<AZShnGN]^No^^gpH[UpipGogysZHcgGg^vk^nlpnghyhmfalH`^NyLHq`>j_>soYn]ntZXyWvlwYZfyajq\\yny`vkkHuy?txVryAZ;VfyAZ\\Ag<^iIPelfadw[kHUZ;Z\\uxur_:BZICleyb:ZPZI<j:JkO:::F:NVqA:>ja::JEjA;R:brD:::@:Dhu=:<rM::b?r]:F:NV?:::=:?qw;:;vC::n<vK:@:Dh<::Z;Z\\ux:Z:x>::T;xB:=:?Q;::j:JkWY:J:Y<::g:Y>Z;Z\\e:::R:brhI:BZI;:ZPZI<j:JkO:::F:NVqA:>ja::JEjA;R:brD:::@:Dhu=:<rM::b?r]:F:NV?:::=:?qw;:;vC::n<vK:@:Dh<::Z;Z\\ux:Z:x>::T;xB:=:?Q;JOxjRwfxIbpi]ywvLyaxq^Upn:^`bQZ:@nC>`Nr;YISSIHcbCIrF]yEwYIUyYQyoaty;bnIcbYV\\yUvYyTyQiduIuyBqmDHw_HPU`Nriyqyoy=jeqjYxY:`NCdufxi]qvAqyxxipamOhsvoauytym[wY_HKTsy\\yvAuy=jQysxYtLHq_IQ\\dnYMQcDwQpWDdXZLkbPN:PlPLKb@j\\LKb@:::::FcEgb:^\\KKD:::::Sd^CT]iELKy\\sVSWv;IIJYbbQw\\qhF=rxutgyCwmxYGx]ggPyumuxguiyyTv;w<cROyego<Z]hwPxmmyxgwYyu_sIT?RkerQUi_y>:qYSIGyuypyuqEyy;b@;RfEtOqYSI?:wSpMuyxMuxwuayyTV:mlbPOyawn:jA;ZZ<:jK;:D:::hI:B:::bI:Z:<:Z;Hib?c<nwViy_vekANHod@R:HRB=NTdhbNnD@Zb:RDMCT;G;ubTww`yI:;Ctwc^yEtMiD;xteDwyXxIRJcy^yI:ITL?DJauA_ry;rrwxowYieuIuiBoEDky_yI:wbwyWwQYdyI:My>]XQccgaCSyv=wWwyqx=qcyinIlefnYpyx^gyWwayy:FgCaeQYrimy=JhvYLL_`xmxiIXmYNysyy:NulodL^uKQ\\ihuNbTuYnWTdDT?]L:DT?;j;hM\\euXut:=tihxuhtShOfDVmPSk<Oa=NJ@pZ<lC\\VoYnQepKyPkqUL`o?pTgLObArDIXfPyGhttXPfATFIRHtTLAjCYWXLqnaSxaPKyrB\\yaLObqN[iwxtUhIvmMMi\\Pa@n^mn@IVAUn]dOkmud<ysIOX=Yq]TEYKGLjEXYWPq`YsfmXTMoTYuDqOCMo:do]`jM`SGHrNpw<]xDLSR\\kHpV]yuJiWgqTdeYaySHpJHDSPqRWPrlpR[imA<oHPsa@TJPQJTopxSAmqR`qPqNLeWoTucyvA<SlLPGqm:QP?andDugLlp`rS=R^dvrmrByVimQTtSu`rELvJpPPHXVuR]aWpUJbQlWuRlaY`uTIxnFejHURYTmkaP<Pu?xq;=SMYSUPsU\\rLUS_YPS<mw=lfHMUQYvhmrEWtyY:xJf@VymL<Xjtxk?mmPPlTqU`uQLDWGhKCUo=Xkn`R^<Q<yLX@xFYoraK]ePmATPaPWppdQTMItNeOglOi\\MAewNPTd`pGyrDAJXlcyF\\VgjYYrSihefwigdOihBxfNixWP`lqrsG^kHuVfgv>d?ov@_ofYs>Hj;Odaqh]QsIpln`qIGvAnthvxAIog`qqNevOegOyoHqmg^t`c_o]UogUv]m?`VIr@A[<AxC?gENuaXknVeyn[VWwJiu`fncwg^Fhq>u^ok<oeA_bO_ZlpnqOcSXsFVZMHdR?yIQbTH]XOy^IgLfblopLYby_^DOrA?bbIZGhuUN_;GyRWvv>vkidAYjZvgAptxH\\L@iX@_Xw\\OhsdhlRhnLaej>gmYjvHoM_maa^VXxVheaGVmFXMvUGewgbw]tLmewQuG[WEUBiicYqDMOVfMH@yCImdNmHNWWjeFx;s:AwYoBxGuDMecoWoUGeSXMcecQS\\eBCYufMDE_E>asn]cIYrYOu]STvYX[YIWQXUItx?enghpYIlqtWmgaccFcSfCcd;g;kSUWgFWBFueKMRsYii_rj]EIGUIeubKfQQBiuE]Wu@Weq=YN[Ur?T^GcnOt^efNqg;[tlIEvOhsohokur]I?wTUGi_cs\\iwTARgUiPghpwXMAFmOHLEdd[cRmTJ?e<iG@;dWyEv_FxcUy[W=iEMGSlmduygnavw;sH=sqAfkmbLuIXQYOUGY=UrqWa[TT[hTgyeQsjSBnkS_gCQMFI[hbAsasvZQBsgurmwrKByoSZSSE;sguwgadTee?ShoQbBOxoiU>Yx_=RZmIYEWMOXOKVxeF^=FZsuHiDgchOIiOmdeYIR]W[WYM;g=?gpUiuYDmqTVWBPWSQQV==W`uVhGw;Itbky`?ToCi[wxketf_fukD;yI:EuPKFseFOEvC=C@WvGYgJIDY]VmSe<aye;BXGry;RJow[UihcfFoTToI]ifO]WE_W\\GsU]w\\eT_shA=B]KHY_w<QS:Gf<gsaEdQGBD;TEcRN;T;cRN;<:::JR\\lohWJ<VBtpC=lAqTYHtnHL?uX_anh@OEdXS`oGghoAnCf`yp\\cOmonxmhgbHgxycpqgXxpbYu;WyFwfjWa:^Z<h]<?vlYc=^kOgs=_rxw]Kiwf^nki]Him\\`eWgbvHbq__[Wj:v`hvbG^pVP\\rNoxA^MaqgnodQm@WnyWi^WxcwhY>g:Hk]YrXn[PyvuVb^Pdk_yJoru?fCQvwv`;qyZ>gUndTPtpwpFV^?IxIH]@qi]akni]d?Z?IxapkZ@xaIk@vlwijG^sKNe?whmw`TYfH@bL`ckA_HP^shll`jJ@[dIa`aoW?iUycqHpjipTAwGIiY>khNl?Vi@gkLhuRwigPhuIc:grQ?^a__rFs:^uQPcjilAYkQarqy`TfhHInW^oP?tSPeQ>\\dFc]njF`mlHpl>\\Bga<NyOwoDvr[@iuWrTpi?hfePrpqxj^^K^`qH`PP_]XZr>^JoZbGxQqj\\GxHwn[YwyAZdnr\\qrbWnlVcSNxRHc<Ns_`mh>umqlOo[;OhGxpr>aCyiBXnuQ^wGevf]qg\\gPksQyBPqbGvP@[RnZGpllV[B_wGxx@naZGsrHlTwlTwZ@pgoV_UHyo>nXVvN_pNIu?_tu_bPHx\\P^IpxBgbIaiX`pxh_LawogyI_cup]nvmHges^yRiw[YiCO^L`cF@cEQ_xFetG_RnrC_]ZAjEvpXW^mXjAqtXH\\t^aIi^?YlWiykpdyf^B^gfvbanhpQ[fAabyjJIlMockypApwoWcuG]\\?eTny`Yig?`RXcoXwU?pCGuO_dO`dmOjU_]ev`DV`Ww`pqpQxpWPcEqaY@gFwit^vvf_\\Hgtockh]VQmgaljHuo>ylXul?nnxhM`^lIk;OwP_b<ilZfgv^kF@tAfflFrW^qLhyOX]\\o\\:ak^?vag\\=Igye>sWIKGxwsqstnSU=EYqChWUeAof\\gRPwrs=R?uBjGT@wXb=HpodGuDjAf]KvpkUPesHUiNQsdcSiwG\\ETV[shmRS;R:=XUAGZoc<Gy[?FyGSeEwYEXJys_IGpmDpSgRgYC_ReOGm=cW;sSoEgHV;<M^MruLJ;poIXVrlWipv<ty:QKXUOgMRwpq`qvXmvu<m[MMQIl>iJOlrU]S[dm:]s_ULs`jOxw?hPsxMdQny=JxdjsYUrqv=ewbTxrMpepxrhqmPqx`qulMKXq_`M<TurUnReTJik]mV\\EKd@s^AlEiUGtuDyrvajfyqiMyy=JG<jSUyoxqvAxEpYr]lwQmYmYriRy]yDxowyO_xY:<tHYsxyY:xnrItwyO_:ZZtAGugyQIAkyxW;xrSioy=ja]jYyx:Qoy=jTMyQey>`wy:ySgcye:B:]gwQuYZdf[@Ou;Ffj_bKvidxgZq]@XluyE:JNyltqoPltMQOdmt^AMR<JalSrqQnIJHEuy=jAilydYkYry=jHPkX@nmxY:tKu\\yy=JIany=JJeRImT;dRN<T;dRN:J<Ngx\\Z>W:rqmy;=\\yuKlNAHPkyOxiQgyY:XWQYty_nIgbYN\\yurwxorIuiBouD?g_GHUaVriiqywytTGxQyEsLLqSyY:Xv`yrxmqy=jpamOdSvqquytyWw@xmyAZ^HkWg^KY_oVnfIlOp_=n`BIuBY]VvfDF[@Acfh^sPn`vetH_OIehWl=vxqfmyhvHygIwxcoiNyqmqrmyy:>Z`yy:Nvd?bkhBD?Yx@Yp;hsy=j>Itpiny_aiwajq[ioy`>jfFDwIoy?:\\pwEoy;j>=t?Lkdfpi^ykaqyAZ:Iay@yTpaNyQ:J;PFUyLyQX:vkox?:B:wf\\AVuQ<::::::::::::::::::yF?ctAOuQmyrmuy;BZauY]IGuUdyusUvswY:UxyLVbMJtEPJiYcxIr:R\\A?l=Z:x^\\@nu=:`BBI:^?::rx:ZC@N:]AZx::b::l=ZI<:>ZkhB:V:Fk]<s;J:;::qA:FkZ<Rv:nA::?:JX:vK:Z:::H:`rK[v:BZDOBxjbds;qH:r]Rv:r`?uY]uYYY^GDkwiryI:yhB=wx_tyxfIu:R\\Zv:BZGCpyFqyDl]TfyChywwKHdwEoy?:VY:j>=t>TuMXyEDYDlpatxQLXOxkTy\\k=JYLG:J;pp>qy\\yY:tu\\hkCVkyAZvOkAhwEwYs;jA;:<::by?TbqiNjaW:Fk]<s;J:;qIs]Tfy;::jw;:MFbZxIyN^gIsEuivOsAe_k=JYLG:J;::BY:s;jA;:<:::D?vSA:MvbJX:>jafndxy:NgYGY:::R;OfDygpifykeqyErsrqsYMybTy<:@JkdrQUyLyY:tsUxSvYjUr>Idpify:>ZROnehyc<:]hwEwy:JZTKNdty=::jx::[H;AYeitnyEsur;xnxqkLxLg=wIPyUxSvw@nbXpothhr`hnWaVgwoO_@gflO`IV^=`cHve\\yevYIvTI_^xCjkkX;ZM<nOjtPQ_mAxioYRyQcc_GyOSFk]FKCSXCU>KwEcw:GVHIs;qic[g_GI\\kvfeEEKUCIfOkSwIi`=iIGCXyfP_X]Uf]AF;_htkvTqG\\UUUESiwcL?V>kBKEF_QxCOhFcbGMPjTnohL]uwYLwGEVyQldmmQHqJAnpXPqhxm@qrHQyEsqUyd\\usASZ\\LoQKrYkIaSFHsT]nN]UI@TEQyVLYmmrUYyAiXixqjHxXxowUnpLmn=uhmOhdpc]onuXCAm@MT?qqSiLBITl`pBHyExXC@tumKQ\\PryQAQmi@KndwXMXwEmniNILSgqr?akblwJXNNLLZlx[pJJES[DRs\\U^Mm:xWqmPraWxaPsxWiymPaqQXRXxOkqkUHVwpQeYttPjxUvKupUElxXNgXUC]JcimklM:MUBXNlIUtpowUV]dqNlVeywEXMviPaLwm=ucEXXmUGQPExQopP[MmRYk:XV<@sXQs>TVRHq]=o:dxGiswywPaKqhuAiXi`\\kYa>y`ThxRqmeV_UggsVfoHqoxpRH]XVvgqxKXq[nZ?orEik_xhV>vlQ`B>wnyuXVwTqka`ncodtoeBxxt_rJgu=w^Tanlig\\qlEFk<Xc:XcFoq;_ue@j=_k]_\\Vw[B_uygqAqtFxpiXwxIhrytCPwXAaky`BhhGPaiYrlOwJGwIYno^uPp`QnlkYs^NnRvnyouGa[DpenFmQOf;hmdQhrfsgXd\\y_Ch_nhe<ouEVgEwkmHgAoyaF\\Ca]s?qeW\\m_]BqkZApJ?sDFy^sOscV;GhwRkmGfMbR=bu_uIuF:iWdYwAehYGstaFxqVM[HwqYYgSnWUgKC;ieNQd^gytuU?cglAxH=fS[F=cFM;Bj_bWeWEyWkudLYR;uvWqiIGhtkCB]CGaUQyFgQHHawT=WBOSbsEa=R@=sV[vMSUN[UIyUEuyroYnmGhmy]wSwIiXYw]eSawsXqWDcYmorHqW<Ixpicq]W]=CTAE`[CAmCjeVOsf;;R]qh<yv_WsMyrTgg@sUUuuUYeDwhTiI^mTMeBlaYA;Co_f>Wg:UupEIlKG:qb]WHLSc<;fXGxPqykeybUSyAqeyKriy\\YWIYlUUl_pNR\\NgQQIET=EWrmU_XSI<pBHuDyY:\\OMULaUJRdVR\\jVdxSqqy=JYTyI]yFxY:\\WbLjfypqyKemrUYI[dsqiyuUuyCvasy;BfAwGyxvYYTyI:=vauY[;RMgfy]YyKulyEXwYgWrUywswxnyI:ArIqi<aSYyAZR=:::<E:=>:::V:::\\G:::Bf:FJ:::j;::Bp:::Zj<j:;:::A::ZR=:::<E:=>:::V:::\\G:::Bf:FJ:::j;::Bp:::Zj<j:;:::A::ZR=:::<E:=>:::V:::\\G:::Bf:FJ:::j;::Bp:::Zj<j:;:::A::ZR=:::<E:=>:::V:::\\G:::Bf:FJ:::j;::Bp:::Zj<j:;:::A::ZR=:::<ULqvumywewy<xmxi[?bMfvw@gbX`voc?fp[xaoIyyA:aTuEwFqtK]CNEww[u@[E@geQugyUy?AB_ky_yQITioYwclnI[A_ry@yqipyAZiheIwy:>cXPkcinkXm^>ywwXyqoUbyAZ^HkW__yAZkix]wYytIqiMOdswwAuutyI:oYrIwy;Rt?sOQtIsIYkxy;roYhyah^mWsmGcIlr`Rx<Y>QLOLk^MUqdLS<namO;`n;TuaptddMaDslDmHhlaxLuyqSuPU@smavy=JIaoguyQqyAiupYoEtX?aRQqpddrXQWW=UV@lL=o]hx^@LiDv[Xpm\\j\\TReuwR`KP@RKPO>\\nZIl;Dr]LJAIT?inwhjGHPrpPPqTJXMQLPVEYJMnsmstYPZiKFMXlmsCIs_Ty_ymvmyTyY:xu_uYTpQSyVyyqPxuqEyy=j@UkjLQdXUbMqO\\PIilpxJ_DrUPqDEsG\\kKmjoEs@QrbHY;tNeexV]VKprSDnbMygimwhn`tMfQlXmTe\\rq=kvljbTVkPnmHls@p?tl^\\x`aWAqpxEua]mwQpQqYyyorgwpwimIyewYyu_\\pSiJK]KTqSMHlBhR_Hwk=M:ElN`PG`YjpPZmoQhv@aR@IpGXObEp_poWtnTEQueuxPsWaKgDPbiWKIkKljSDSJQP>=xUEOWdsudWpyY:XXsYWyyY:xLvAWuivY:jfPRbiof`ogEmTPuLMu<HMRQV?@ThPr=\\k;lKOxRKyTJMv`LtnqNNPSTqUX\\vJ\\p;hS^XY>hsWHTaIMRuXpxt[\\UlEQoxoTawyws_ypwqyY;::`MtpUQXoBQxcmLL`qilQ@UyREspEYxmV^LXxar^YxlyoZLRWtNDIwvXhMasxdgwXUAUqCia]wsmBp_eYwDacYdwUpIuy;rIgfiywtiFyKuxutasiyqtYypyO]fVrS`[tXtnWwlh[Xym_?h>WojV`UWnKP^FX_vArvArjW]b`]DVcGq`<qw@NjuW_sGd>Xj@f^Bqul_vL>a_nq\\OiMxsKOdwOpIqYxqqEyysAQufyI:yvlytxsyiAYKkVQ]RToSUGV^AUAWVaQEA[bbKWxids_Ed[rFwfeqXNGtrMHjUHQKgImxSjYYyvyQ]yRUaokyMpPuywQjbqmD@JXIuFpvlytHxQxxukYNgqxYXXsiWyyY:>yKqfQ^bnadY^gmxY:Bu::ZeWP:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Ncqp`HIrLNwWIuHPZfPoCwaWXajNq`^]jNyOiiqny;?tw_^yAZKQpOgjgidnyus=vbCOc=IaIHkyGxiM:t?wY^uC?suLyI:YvXydxeIoyI:cY\\KieovPmbfYt[yhXyI:wIhMuy;bxKT__xmyI:ybOySwayy;BgCieQUriiqbenyLh^n[AitIhyvwYUYHQcaqd`?SNOXZwiXetmQRkGggcfI]X?qfMiyGIb=MFhwYy;xtihnOwEuH?Yy=kuSAhxCfOoXmWy[EGqOiOiyFmuGaUPGxvIdg?iJqGQUvl?fV[CXcciKhaGiGEwrqRA_sr_t\\cDvCf_GgoEbashRmb@eTT_F?wx?wSJiURiWXmiZmwAOIpOrnketMxBgsl=Y=oHi_BQUWsgFx?bjgWtabl?hNgcigbr?C:CYsIv@UtQAVrqF`ewLQuyTKoXWUeu:aPGXM=MJKxPU`MCTpt<NcEmv\\NO]kBIuODRWllimjjDsK<mrUJJeULEWhPmhYyCajSpT[MNCyTEYOkPPj\\rl<nK`pYLvfiR@er]UVGQLiYunhpq@xpeytLVrao?IWHhPUUxwLqVMnRpYp]kHaJq<RHIP@YwidtYYRTis=xudyqSmlP<K:IYh]rkqr^\\M:HUjlJCYJeauwyn=ektTtUqpuhPNuw]IpqlmUDP\\qxlhP>qPeuwVhjByU>AS=lwpMLllrCqOU`uKaoodOldSu<TSanq@Lc@VMDsKPSJxrFaKfDqWdK:xR_xY:LryTORury=j_dklPYLaSsYxUAk^iKj=SrHVJ<X;uMJYWVdstyRxYl^AxoxRAPNqTPe\\qLpl;hUOIrFekLhVLMnNAoK<qghjZAphto<Qtf\\XWmOgpP;]NEAYq\\WIXPBmRCyN`MxRMXIUTRyTXlkuuUKpOcxX\\eKL=UZEw_YppDyQ`wlDSUFm^V[v`yh@yL?c>VjRAdAV_]@yqycNqiTNgxNaEPrpigcWgT^sgFvwppPpbIP;]SNKFstpkHPHmrtxT\\TKEPJ>iyDXtMtYvxTVhXg]uxynjMUwur<qdV?ymPdqNmRAcixo?hoxxx;h\\OYfCVp\\?xaqv=vhDGwg^xGgbi^huHovIcb`cfgw^Qk\\I^VFcOVwr@]LhbEFrV?hNFjCqsbWZNxcO^`tnt]xndom>blqSQwcuuICpPmYP?YK?PtBEmkDMsavWuTemKB<NTxQF`pUyY:xJkAYb<ytms@IQJtR[uVaEx?TtVIQ:=TXHPn<Lqqwx=VAYv<Qmcivj]pGQ_o`bNyo[`qNi_\\qpSWndn]Ta`VAbFXvuX`sfuXHcgir[wsjYrBwqLqo]pthnwog[Pov\\Yc``tIqw_GeX`\\=PhfhbNw[h>_;aegggs@^L@grH]twdI`pWob]icb_ajNr@AwSibgVsBVh>vxk_^kxbmXoGNp`her_ZX@qof\\I`riX[Wn`aadOa`r_xei^lPkxqtAOxUws<Hg>>dP@w\\nhpgdTavggumA\\;VoXA]ric[Gn`vlio\\sHoIgf\\gg^?i^>eyenGcgEDLCuSQRh[EdmVO=cMocVOuXyU[ogPIddstlkUmQgtaSKact[Sp=x:QwjkChKF_Uf:mc>;FkkgRuX<IH?sD=UyOIhGodWAVrqxv=YiOSLeytIwgeGKcXuwsm[FeOXKIHqUup[Eb_ULEXTIg\\csgkY[aErkGiICWiHVoXy;GQkVUExhsUhqXaqxk[I]Uiy]C^=B;QXV[YtECvqHtQerucNksUwRsegOct\\uIHsd^GElQC\\MP:TT?Drrpo]TyXDS_tpp<X;ik[yKEuLePJS@R:YJ`UnapWi`jm=JbXJH]xy=jBLy?xU>xwoeuIYrYDu`qTHYO;ILGlwAelbx\\FAx]`Z`I[=ngR>b;Vf<X_iorXn^LaaqNvwv\\?wl=y`qfgePc]GcghoZI`AAuhqudqikib:yZSx\\L@cMg]qXreVgyfjm@yHvrSomLY_^pleVsbaogpteglJh\\l?v`Nr_AcUnxhIy;oseOonHt]Vyg>mOqmgndpAukGiw^odGyVY]Z>_;FiNwahnabia?w\\=^ljygD`_ogu=_wQnyPfcdFg`WqDXtsoj_?qpVpRnf;Iblil[?rw^d<Xa;peI_]rQi>NthwvJQccOqght_apQNbNfigAZ_N[>AjBqyZwbTi\\Eg[vPkOAxA@j]@tins[xhgpedWt?i`Nqt`PvbVnUWfmG_Phi\\h`S^uAIoCQ[:f]mym]@yDnyTi[Ln`Qa^nPaGfvnqlYwf@Hav^vRPa[@lt@xdQppNb[YhdiZ:fgTQwt_\\XI^mPt\\HpoplufwvnuSie@IpvxdB^o[PrO`xIV]aGnHF`XHhv``gaaH`_gwiiQsyAZ?PhxV\\jic@Ykb@yowanpqSIf[iyO^xeIc^>dmPc^?g;q_ONb[Wf@@^D>vL@eKPtuhlR^\\;Vduq`=qyvggy;xkfUuIHykipy=JyXOxellMk:xnwUm[;jI::^<::x;:ZN::jI::^<::x;:ZN::jI::^<::x;:ZN::jI::^<::x;:ZN::jI::^<::x;:ZN::jI::^<::x;:ZN::jI::^<::x;:ZN::jI::^<::x;:ZN::jI::^<::x;:ZN::jI::^<::x;:ZN::jI::^<::x;:ZN::Jl\\YUUVaqLDlUuTSnEXmyw<DPbxqeYlTMqdxrkylvAjIdyvUuy=jbax`tpM@U?em;QOtywvYZn]AGcPwboQoTygvYjZPyCwy:BcOgtcsVyb>VVipXSy?cXKkEcAZyAZcY\\KienrFxsAtutSy[un^xKX?tYYltyhxmyicGSixjYYiyuy;BQcsypYLdnnYpywkex]tIyyAZTQhQ_aqa`UW\\ifuOVpZyssIZifYsxYKysSWSqibgGYmry;BBEsy;reqv]lktyMlxnsTP?]lN]kbPND<jbPND:::jBdSjlrAdoxLK:PWbtj\\dM?]L:DD;:::::::::::::::lty`ky\\V>xY:Xw`YUyyR_\\WPyqF::]UqMBuAu=QYOcwqmqZZA;:vy:VNhy[lxsxKC>:::n]p=FwM::fyj[nILnYSuYQysyqn:B:Z^NCr]qNwaIoPeD[KagD_n?f\\m@vMyY_R?yI:Yw\\YVyNkx>wyAZwFofvnOag[@ggvgg^bXWfBQnEObFy`kPfCVx@Fi]WdeWoCnwpGm]h`CyicWgyXxuIfyAZ:hcyukKcy_xoyusgyjyI:;r`yQAEOlijHuPnpVsxOgeoqmYy]wy<xCxqrevYLuTywvqYRyY:<VMxY:HXDEq<tvUMMm`uQpxPXQyyQpxMrajY]ylyKge?:Fa<vvUOmm^eQpxPXqyuIgwAkI;yHy_u]UYE:JH@rspt`aKQinwinhxY:xsgyJxEjqtyVXNuUC:b];ThghsSvoESyEgeyI:YXuIfy=rGyI:srbqyLu<:>^VWwmobeOlxQtQ]==nkKgy_pO:ZJp_oGq]h@`@J:ZA=::Kx?oCq]h`CyicWgZ::vicWG:Z^Y[WpGDA:Zy::Js:::v=:Zs::vA:Y>:BA::y^v=TYE;:W>:::hI:ZZ::VRZHTy::>L:M=B:j]oY::\\Fs`^Eg:;:rYM=:JlcUNH::y;:Zl;::rA::m;:rI:xB:JH::xCsAnxP<:tB:::VY::;;:rj:Wnx;:B^:`@J:ZAey::>SlGCQT;<:jy`@:Z^MqbV::x=::_=::jI::`=:jY:vK:ZV::vMlIbwg>:nK:::rx::<<:j[;tbw=:JB;FGZ::IPy;:Bl^ULhn<>:ZyGG::CahWgYnrany^vfxqqgwqnQiPwdpqLvA:;giyfOwGZqDqwhPkBiCX^CfWEFPSIV;xSmukOsH[tbGuC[WwOyIOreGwy;Blos=CwaoiGODfoC]SrVahnQWtygvWrZMyCpRCySctrkDxilywdGihexY:LtaPnID;tGu?V_`pl@agMHvqui<JQekytIcug?rMgSo_X@EevIi=Qh@WIUSUVsVYKdeQUrtG:ESWCt:cx:sdvsXn[R\\Gu:yRpoy]wy:orQosUoy;OuIkI=OUMKWH;H?qwK;Wd;TKIYMyI:;TyIty@j@uKtxWtyJdyQr]Kdiue<wbPuxPJRDlsUty=JJuqKyY:<R]yRWx@OyIkaWWnJIdnPiD>ZEpsUpy;PyIpYlmnyUn?oyAZZI`cphi@n]PgtQ[:::::Jwe:::::QBtKc:YcHY=BTaicyAZ_PuwfZ`V\\rFymGw:G\\sYty?tyFdyAZ:YfAgmqfy=fxY^y@f`hftna\\gwe;?bKFiMyI:::bA?FZ?sv:jA;bT:jG;::vk;obKAwbN::>G:jLkGXNJ=T>lunyEZ]psUpYZQ@gna\\g;:ZI<Jo:::l=:`D::BT:Z_<::VN:vL:::Y>Zd;::^A:FO::Jn::E?::rb:r_:::xB:O=::BI:Rd::Zb;:PD::jK;jE;::vK:d@::JX:jN;::K=:fN::Z]<ZQ<::r]:NG::Zv:Zc<::\\@:Rc:::A?:i>::jA;bT:::s;:M?Z]^aZ`vcQyHxaeAuKQfLxb[OZEW]@WyVgl[Oj;FlBAsgIrOn_KAwcFh<WZJ@yQD:wbwRdFWXN\\yUvgP;jhvy:>cXPKEWfqNv;QayAZ^HkWg^VQlAiv^V_SNlS_b]_s\\_\\v_oSAa>vy:v[_Xhyw[xL:pYrvYcY^byl@RT\\o_HQ\\DQY`LdMJi<LAIwi@Y@tSHDWEaVmXUWQuWUMyqqa]sj=wWyJHMTkTMBHxmIy>dww=QXQsUMvaQkg`whqs]`NRySdHU;`MT\\RkPSQ`wYIu<aVBIxJ<o^\\R^AjVASs<O:ykeevO]L@dt[am[mjs=of\\WgeWhpoayP;XvPlWmExu`K`ESDLNP`QjQs@Aj;Hjlaxc<PXhw[uSX@Y]HTtDLCyW[tSFllQyPmdsbews<QB]J>\\N<yJOTRMDPLiL^Un:TvaXShLuYEKxqnvpQJxscDwpHLTIwQaKCUWbDKsINHDkJ`nKpS=Ip<`Yelm>Dm=hmx`xD<O:dRNYKJ=O:xK`Dov@QjyJQlMAHRnDX:mM[yjI\\Y=YYfHWtixYlXMxsclUfdoKlK<aXPPPtDymhJMtohhTXmj]pS@UM:YQLdyAxrTqn[LVGpM<Yx]`RQhnZmLj@UGaOC`PktlOyUs`LsivADS\\xktLx[\\Vt=S>aJjdr?lKC=j^umMuw@aRVUm\\mw:<JjMp;XW=<RXxv]yQBPqhdjmiOEhpLivL@RC]LpTl]XKAhTltp<@xJ@VsYmA]ljAMBuQrtQghS]umJ@YHtk?@YsxY:\\pndYqXTKqofhtiHnG`yOlkYYpD]UmDO;ltLiJCYM:\\OOuX[eyRLnP\\UKUS]mwDak]UtxpmNenNMjDLJI<TAMu:LxEuuV@Y]XrLavSTlHet?pv[LO?avfevxqSJLW\\tOltT`atleT`tJh]T\\\\RmxNFqxiyY:LrWQoEAxshP]\\KAHUtDwf\\oP@r^TwwTRm\\nFUJmUonUxplJZMRj`KVyVuPO^@vd<L;GjYio;^db>dZHZJYf;`xZx[iFpkqpcxf]Wg^xuYYecwhpxono_iihrQciadbnxKAlW>cL@e^`Zkf^IHl]FigOm]@nrYuX_psXqs`tifgoWgeG[oW[G@c=gqTouPia=WsZV_xFZGH]Vo\\;^j=_ZMfkXaqK?[=Q^jnsj_DueYcGUst^egVshaIrIydPSs;oVTwxG]yPkipAXJcHwUgDQXm_I;[YloCcCIMwVRCuJGcv?E=Kwp]DooWLaIbqYhihaGCoSEIMerQyiUITYCS_huGcGovFke\\kds]fNGX@?RCOVbiTQSXuqWHqykkiKuuVOeuURgiU:;FpCy=SdnkrraI;wfPYeywYnqwv;w=Gs_?Y]ey^kE`uXQKyGgdheT_=YfyWgWVNURuSHNqTL_R:kwsiUa=cDEficDCmc<UHOesYMfI=saEhOofFsTToWQqgtgXrWg<uRn?x_gHvsgVAFDACmarSGIOmiIWIrOyrkXESEEUieWce;cgWVHWCsmdSACxuvRkTZ=xCkBKetrsr=UONXrVPnVLxlYnYXx;DyL=PXtoAdRGPxUMRa<tOUt^Qq@htD<UVEmXlV:eoXXVgivFYMFPKZ]RxYrDyMXyKtdqYTrtpOkTyqYocQU<HWy`WMyV:Xp=mV^`Sm@RmdZSNpUpphYvpW`>psTAwpo^q_\\VWvhohFXvMIwgYc;`m]QmZ?bP>yqYtyuumwYkYqqrUuGWyI:qiuydyisN]HJ[RUwWwaxy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::rMwFT;W[Gg`Ed]cS@GeUAFayeHWWWusIwiYAIyYFx]dSCrhYUi:nbUywWwaxYyQl@Mw[LocyumEYYdMrywjYNuUtIyiyFlxicxa\\fY_\\heqputxiwyxivYqrbUuwWwayI:uulyQ]exQpxXxMyuAqFyKcyaxnyI:IiuySlygjQV;]hEqxuu\\u=]hgqyoYty;biEa]ihQnxXxmyuI]eyU\\yGgcyy:Vxqy]^yu[eZKy_UuwW?u=\\xgqqoYty=jiEqy=jreu?iyaxny=jI]e:n^ye<LUtyY:`ywyRsyPrEtZMq_TuwYGtE^hgoqo]i=ETyIwcvsVyiMxi?x]TQiy_ywyrsy`rIdZOq_VuwWWvUJUxWw`xy=jumwYmYqDTyIwcssZIhwwJyHH>pWO\\gqqo]i=q:VYRNyUTMam=X^X\\y:\\OQ`RuxWwju[GxpX=xiU>oy`pnmv;AwxYtMvM:Ss?CthY=hInBjwk@MwidWw:RyIwcvSJEhJKq?:hkK;xqLxY:fHtCx=rYjs;ED`ud>?yy;BHuxcwyEYsy;r@IgPKhSgg]gD:iRq[f=;tj_Wv[v=[ys]FNWscIw_ARu]Es[v;]d^Kt:iWdebCuV^IGjYrUasyX^EGdWa]Aary@YxY:xD>CtmLxY:XvXytxeQoyQwMNtYo`pL@awMHvqwiyAZVK:pYLdnnY`:vKJ:dgQg`jYyiyeyuoUrIyI:Md>oWPyI:AisIPYyQumsDMrUMM\\htuQNWdsXQjQlmrXWruyt<lPLK;US:ejNpJ:LYX<xw=O;@w^tSZxXZpMreqkAyy=jYdV:UK?=NnXl;dYIysxyP]=REdRa\\YK=REdR`pyydLltTj=l@QkHQX^LwS<pl\\sQXl=trx\\L;dNO@VcQUrDmk<u]qu_yika\\YHuTxpb_owwkTy]yE\\?GtKBDMgmivd]uxQgEyUt=yy;BxOvJGgT;yrOXfIcywwAya_`h>^`OGl^Xw>vidHpyAZ:yjyAZ\\A_xAsPyaaimIpy>vayu@Lq<dPOxVuUnRyiv^wy?x[vYkYqyRporksyv]wy;BjrrcUQ=bPOvfuY^SwYYxHyByKrYwyGIdwGTf^AZru?;dO?GeyI:CuTyrvWxkyI:?rAyq@AwxASP;j\\<wD\\tOymf;>RVVyESQuAZ<:Lq<d@Zv:>Yy:Z:]]UQ::jdtpJlUTiu_hQN=X=\\nfMw\\aLqPrZlKNQYK=xPL;<kbmskxMgTNu=XweyePjkqlQtOX]yFEt`Qt_]Tf]w`dPEeu<qYKuTcxKSXPllwZ@vaYssAjDevB=nHTy]`KJLpkysseytLT^myOTvT\\JyLlieWfaKpQyFQmwhPfUlTYN=AMlDTVLt?LLl=YMHyrISHQsllLUlSdalwHXfuLTqXWpqePvspQOuWu]NCim;pj_mmrhOpmWSiU_Aw>MpF<LA`KWUTkQKZUyqEXg]QY\\SmISrTVsdmm\\TQYN\\UUIEL?Yv^@Y=PspxpM\\rPqp<qT`IlxMOKQPbxY:XQvI`^VnAnw]pmjGZ]ayGwnryw=yxJHgXI\\wofuW_E_hG`irXb^VyKasqa[DidPVdmn\\;qdfgmeip@VZ=vtyAZwadohm[Asig_nY]BfpEVsUXsYI^Tnve?j\\pbJ@jR?\\ZhZ:Nl:VZ:>ZundG@ZNfkMqtPPmvIo]aaX^l;f`HxlqWh[ggnOuN@c`Gk^Wupag]AhWykyxwPwl;_qyVxLVkyAZ;vauQa:IxOfm?YtvGarpjXQyBgoo>c_AqLHtCF`[FpWHZlOa@gEqDpixXGBVwcw[cIiyQGhcSI=YCuQrmoY<Aty<rIqyHyKfYkYMYCXryG:dMn]TKmxAxmrmleTuN@qqlKUYyE\\JUEYZMp[dkqHMr\\K;YVqLOl@RHYpDXk:uYJxVO]p`pQkqJYhl?PrbAleeNguncUnpPLe@p_elH=xKEjRHR:AnmiRyam?yvXau;qVGyKShJdHyJpQAasHUrdhURtvZlXoxoA\\qADNbMy?pRCLwiyNDTWkPVmauVofuAa<GkJVhBidL?b=Fn^NxswngFleVhSHxA^rIO\\cqhtghIqxXVlyPdKqiQIgFNm>HqP`xvHfgGbKFlmI[Mo[kGs;Ar`YqwvZVWqrHxPFnZPgp?t;ihaGgg_hi`ZfHw^Nh@Pdx?fBN^RgnVwinG_rns?ViyF[SGs]@gPNeNIkb`ubqqMgbtfr_Y_tH_JOc^_ywp[VIls`doIdEPqhOkPqydftoFyh`ySy_Zvpphj>Vi>?`?iq<pmHOvXGeUohA^[ANgLXkXO^Qa`gQZ;ygox`t@eTGbR>`TYsungsV^_ikSWqXFhDxmE_tgghgnaXQyKivbo_J^a`?cXq`ZNye@j=Aw:g`HFp^HwTgs\\PueO]_on]`gV>aDpw>Fm=^[:@h:ak:xcyNeTprLYtIgp<Ps@qtUVerwlf?d=A]>gbWfl:?ZIFf:w\\knwyOaknwySKafEiTAEbI;v@YvVmYnYvVmInWx:UuuSvnSDbsrW;w;AEqwIWAEqwqiMMwdki<MyLM:\\uuymH]kuy]nFclyvYfo@vc]oyn>ZfYiYpsFXiYt`GI];YvkInCUjGxHAYe;rHwrsaybwrsaYcAU[MhcmiZ;v?wrsaybbcmIiarZEh;SdW;w;A=A=yxFoH_yWAUB:CEXQx]YBQ_eYcYQyI:Mibgd;yvytKRxY:hwapyHPLq\\y\\YUvdqmERY\\pYMYkToDXRx]q\\QyEyY:X^Og]?`t_qy_vYvOo=CDw]TvYcyuSuyutixNyI:_xC?ghMGUADCkYYB:QqIyi^HKSsy@ysIpy=jixmwuN_TXYykxhxy=JwAhyUt?sOQtIsIYkxyXwauycESRUSm]rD]QbdQtXXxyY:tsOtvQQmpun]uoeylCeOGqXPQUvMMvMqZLXpiPuDrfMTODjv@TdaNPhu_=K;lK@MpAQNiHRxUYOAyndWxdm?exb\\ofXVxhxTuXCqWETPH<QlHjrlKA`JpqMO<nsqmEDXqhUNivLiw`ETneYldUTaTuapqxP[Uv>QLXEUQ=YAqXV]KU=Xpmwgdj:TOOEWxtoduO[YxdTUrETMysD@Tthy`DX]TxqDuLUvAtVFxt`IulyrVhvmdj\\dqXXV=Mu?`RJ`QThRPHNTHuvhPqhRHxRPtQhpRK@JUENd<XqYjRYxDTqhXMadsnuXmIWPMTV]QXYrFqxbMTnxumaSkDmcpYHIXg=RXxfY?\\ois`Vr>QydWucq\\tnoIhfo__qhcrodOffDpZFPbWGiNX]NHv@Y]Eag:>]\\?exh^eYlYAkZ>xGApHpvwagfqe\\ix]^_x?up`rBi\\SPyp@vpo_:FrCAfeOth__fngRfp?ilf`sRGql>bhXcN>uUGlNynEqmu@iciro^`WIahn^shcxFsagmLIc_p\\bq]Pwcr`sRYsO^wC_^pgrZ>aIyjxa^Paq=OviX\\SQwl>u=Ig\\?lUirO>p`_fOhftpjS?bhOC;DPABasuZWGucxy;B[YwQgwfyVuMT`sYGSutSwf;f>gYr]W?ogZiR[[UK=xDiG;GhIAiuwrZUR_svGYsVURacwNKHF_IcOceAXC[GPSR^kw^AFqavoovXqDjgDR;E\\MfkGS;IruGRqkwUYIYywEuChMIMYrCYfrwufKWToo\\QtfioaHTfmw_aQOpO:EVfLtB@RBTj\\dxnivS@J=ixDMVwXr\\qLexpBhwnTOueWmtsLLwJhpvPtVijChwFuW;DUCiNJlLdXXkxKDutVTjXeoPHm`dRETrPTM]]MGAmCTNE]VO=O:DJBTJ?<x:XuMIJAQjK`XghOTmTwQp;MM`yvNhPdTL]<p;HMHlQ\\=r:XlCARHMw:MxbmQb@Y?xwiQLUAsqlQvIY<TPl\\nj\\oKhjRXomxntut[`Tk<qXAnFXvZXL@QUt<wlTwjer`esmAoVUU?eWk=OCdw?TqBqKduLITpWXQUDwrTVdmP@XyC`PWlNbMtC`PglqRUN^avGdW]dvLYKo<K?<xDDO[@suYn;DJJqq=\\nCqX;qQYtWvxTM`omURvLVRaSd@Km]JfQKAHq_AJC=nMlSC=WDlmYhthlOvesuyNE]OmYuxdmcQoUQqlxPPtncal>qOZDK]ljVToKXlvXJJdjiymoqtYhXqyjx]kTQjPQrPqtpQXpAoR`uX=s^lMQQvhAU[UtaLNidVRTJftr^PMT@vriK\\=KX_n:H`:YaSWeSvvLYm=NpMhjGAiYxjh`aWwfZyoFvb[wicxeCQvWP[DA[hqghqm`Wpw@`Apl\\osuqpR`klXv]>mBvZgN]QqnWvhKwy:>nwwmxaZyxY]BOcS@GV[AwpMe@Gt\\IgpkdPGGl;c]GYM]geaEgEeHaenGWm=vM?YEEYuyFZEw[AhxwVyWdlqiMcgFMtHasBeWmgGKEhIWuR[uPmwOwSgaFruyRmdikY_QUUOWQOdvqhPOeoaD`SV^=dV;Eh]gvGivQB?iDk_H=SFaabmkSAETasigaUqYxTAWt[YlmEFwVr_vWGRP?BC=u`CIsSY]iBt?WbMUOeGsix`CtnqhNQdOawLAvV=SSEFaqCBmIF=RS_tYuhAcVP=Vp;RFQTZstqgiwAwytMExQvEky=JxQnIhWg_yrIeyAZZYcyAZka\\SGjLAfKCQy@:::::::::::::::::::::::::::::jePlkiU^MmnUSy]XSAvoHPXDWBHm<EO@mwu<XGHuxqUNyY:xv<ySyM:^ei`rUYmexwAVwqX\\=aZ<gaLnxo>e^q_C?gIAoXflJoelAq^`wUp^?`qa_aC_aXO\\n@e^IZJXcgP_xv[FGjK>ZuafMqxryuxijwvayu;Awy;B]iTOwrccRVCwX;fp;gYeVkkylCh@KWvseOggAEc@uS_Ww[]UdQhhwX@AS_Aiaec:?tr?CIhuo@lmUr=dsMuQ\\QTyPtPuuUtvy@xCHwy?xrwarirU^agwrvQdtwhQYynwikQm\\Yt\\ylEpgKxwf^ofhg]YjGgtoH[gwo_H^>qlKAbPoZUA\\[FZrxvJ`vhX[:>`Wqh[thYi=kyMCtieHUyVN_frSx<MWEqFEWE]=srEDN;F>SY@ATR;tHGR<[UDQupayAQsumi>miYgcmyUrVpyAZ[GryAZ@I_Fneo>^ygr]nnVPZmfypXaoyy:nlXVreIjTPsq@ycPodw\\Pp\\TxeAP^cog`Yi@w`Qpj>Nk`A__plZGhS^_BHoY>^ho^Fgg?>]OW[IPkTnqK@xMPrxF?;i\\iiNuggMdU=ygevRMt`SyNUToAWxiE?aDZcb;yCXKwHYv_Gi?uuy;rBGWpAy]oI?cwusiAYby]SLEIxyHByI:?XCIWVahyIsZyI:SnRHxqhRWTwGQTvUS[iW_DuTUWTiqG`tMQsqYW^iRp<QFeWS\\X<tRGTXHHt<LjOQrPPShaXYHmimLS]Mrmt>QpP<xTAUWaUX=k]`lEhPplV`Iv;Txp`whHv;lJdPS@xo_IYAXoiEYWnmrfw[i_rv[Igw;yy:BDmxrY>liIpyk>cxN^soeSVkV_qk@\\=ygbXs]OoN^lrpplqnLxZOpaVOqCF\\tgj[>]kXunTsewaUvgoo@uTXel_ak;YYFaup@WaTwqAQHpNF=YLUVBDuIasuxKDAr^YqgIy?tmy=jBQWp@y]qY?doutyAXny=JFdtuYWy=lcElgpsqHVeUYEqLOHNL<YoDRulrWMjcHu_mo@mvKIriQmc]XwLyuesXpTiAtppkDmvraJIpWMHY\\hoVejg<JC@jFXvFtv>\\kMxKkqOpYQY@KIMMXhrOUmy=j^]vNpTuULghLhauqHqNiwgPNoXSuhyj@NGTXdEK;lRAXqwLo[gtAayxXuyAZZy^yAZaGdEoyspy^pin@mcHp[xapqmkxYycgyI:ky<yI:mXnuycSwYYXuygy?J:TytTJNDl?AjcPoo`rUmohmNC]naup;AK<=JPdV]`qYtwTxvnemUartqqOLvn@xQ]KMiTrTwRiNMmmReWXmV`mxPmmr`TbTu`ErKHy>HpR]SELjmDTdyuk]ws>Zg>nyAZKIsWobI@nbQmu^cTqcIxnRa`^Ii`ptOQ^lVfrfun`[oiawGgE_fhvnM@imXdrIkawZ<`xbixexqrIcihoharPIt?IgNNdVQ^enrMYoh_rDGhyPsggrC>rIqcIqcQixEvmBpu[>x^yptaixocWxgwvjO@_lWmXIvH?yHq[jYf>>vZakFv_MotVIgThh?iyw`ypq\\lhuTyvBim[qdL`_oQu>ifmgwOOvjqy?p\\hPuvPip^mTXkLfcTQuZ@mL@`x_ih_vkot^xfMpncHx=Gco@xcyto>a@WoyOvAfpHPtci_gInPH[gvfOXbRXsMhvjFb?P_>ar=a_W>edQueqqqFxVouKvtvh`jolTi\\CyggAe]wp<Hv;GeFvfqak[IpOqqK?rHOhHOunYqwy_G_t^NjEgwxNtciwYas?pn?`e@yuXQd;GrZQhbVtnhwy^ckXewn`DQuDIuCV_O^qEO]cv^^fjJ?ZaQm:NviaqCOoUYwX_`TX_Ehh=PbMQ^eWis?x\\FgTw^RXqjX]A@ZhFZ@qZtgtWX[?QuOyt?h_oFsnoZOqesqlBgwnHa\\AmUqrKYo?Hl`Qlo^_C>^gqx\\ypY@bLyfOyoivvmHc__qnXeU_lJpwD@gOAm:HtY`lwQvlnbkwr;odnikaNcLi_TXuDWtf_wZFiFfkW^pEN\\Q@^<^rbVZrVZYHf:_]vPyVYv\\qhA`ftakP@pY?gqOhGinGa^Z^nCi_`Pr<gvqPvcw\\;NkV@hIVdPWwO_tofaAwetxjXgeY^blH`cApViwIx[oov;V`e@adN[M`vcFa<vcjf\\_>`tGuvya[`edGoexc]HgLQwKflc^hpIpnPoQowJ`vh?]gysOf_pXl`Xecy]SA\\RYugHjGXneOh:Xnevfj?fxoxfamaIaCqsm?bXfcgGovYcPaa_fnCIvgidXPxUydXXuKWhcwgs>i]_iZWqnNgaQjqNnbpgr`cmWn[yuSNgppupfqKipEVqUgypvgL^ucodlHslOj\\y^PNj^q^OAdFVgp`b:fvCafaqkwOaDqsLQsLY_EWabgggQvJGp?a\\[G\\Nnh:>hA>pdx]jikrii`v\\cFncQj_?qqNb;wfXFvkFalvfSvuAqueyw:_]DoerYtQ?y_Go?AndyakAdUQgQNefwh@Puav__aevpakObOGZ=n[:wsWA^<ncenmNayAOvWY_XwfuHxG^rThlpHkahuG`[?qgchaFYxEY]=Ip=>cUOgbhZ^>^lnw:VjDhxip[co`tn_Qp[Uxn@Isio\\\\YqWimC`_COfGYsLFc_vk`^ngw\\BggWghpOtfqc\\XoopgGQqs?r]?]IfkRyrWNiJwZW`yEGxPfpcw]Ix]IotYXcGWZ=IlXYenNfiNm[ayaqd]O^jXZqIZpNxB>lnA^Tf`iW]eYZ:wtavY?DgcHYycdmTcChWaGe]YmcbkIS>_vl[fGUDg[w:ES<sd=QChyGvGy\\medQxXiUReBkafpQVP_VNwWDAc=urJGdYgTBog>_SHGxF[TqkyOAxw=RJ_XU?UmCx>mwgSFKEEXWvRaiG=BiWblmH?=bCAWewxPQENMYfkyVkdh?fJ=wu=I>ueaSCa_rpEwOAYd?xASeoIS[suJybwyf]ibN]I;acPMeHgFsmUcQf?gwy;bRiW_=hDIBlSgvuRm_VHMHHWwq?ur;Ge]Tryr<EBhcDvgY_kbh;BQmeW]VbcvUYr[OS:;EP?RJ;ywUH:[eA?SoswNiRZWRhiC\\CSney@=fIEWTGwg]F=?W:[GcUdsGHkSI]WIX]Ihsw`ADZ;WaudFydAwDXYYMugy]xy;b\\_trUd]MD^kdJAfmKUjWHMGVKCiXsrUABagbeQyN_HwuhMkRrcHWqyLKhb[vLorMOBlKwrkCRkB>KRl=xtUhPKCc[BO[bKWBTAbjswC?yaqrk[yjChqAChehogipgX<oflYIOgF;MESGvPEF^GHnWc:kbnUs`ivWmfs_rh]UQIf\\WCY]UdiS[YIYqbYMwcOxlGcb?hqQBZAuHcTsoVKWxGifjYRx?EqCidwvlwY>ux:qyBqaMfcxqsWyqfym^wkCiuVxv`o`aaaai\\iocjHpMag]PpMaogawgQnIylFF\\f>gs`^VP_Zq[CwaG@ZrguQhkoFi^FqKi`UWseVyUgmm?djXprXgNXyCWynnr:G]JgZTA\\B>r:np<WlJXgotAKIFuYSIiyqXLgDyiTruh:qxKquduu=Sd\\keegBXEyLkSo_hK]v:kSB_E@;ISWfMIRcctnyqkUvQltYeYWdNNmXQXtQ@yQfagutJcYLKyr>yqrWgyAZXOqYpyKT?exL?U@Isjry;BQcK:pYLdnnY`:vkUdxmyy;bp_mT<iiuyXw@xmy=j^NQyI:AisIhyxAeF[LM\\hDdsYMqcdTZlNc@w\\<JDLST=o:PND<O;@o_PN:PLDLUbDJkdRg\\l:@m\\pLD<JDEob=n>PnPL;:::jftWM<uCMOrUxMQt[El]Q\\VptdiwKYc@QsCVvZx^vqvnHoG^`oYZPhgM_ruqqy?[Yylxy_hnwFqnwGkVP\\x>nwW_uVdpXqNqwgyoov_APhY_eTa]UYcj_hsq]M>lxobcGkX?bvvh<VqTPeQQuhprdO\\hIhhf`aFiS`y=NhGA`Shf\\oxS>lEwpGi[uqyqgwWGuuYu@Wh:PgcogoGuZ?c_>xO_xKprBQwGhaChd^?fBAbmfxPgdZnxZF\\<X_jXnTpiUAsvwosqkk^fOqtOglvV[pokLHsl>aPXrlGsZN^AwZIqs`aZ<pbEvfTpogngQ`cA`cYwjHnpjN\\[opYFuxacSg[WHoaAvjowrv]>iiHWit@_pqqBGaYWxVf_oip_YyuxuvWaL@wvhk]FmUxcl_sBY^fVhkFsbNZLHiUIjLQoYAwlqeCa_Layufm`nmdY]eHm\\WlIwdrPl`^u\\XdaqykYhvy^]^ZFPknQccViY_^Vvosqkgn[f``K`nIPZVooXH^uAanXxf`[\\n_Up`sWyDWvqXbTXkJopu`thOumAdrih_fuEyb_I]ahgxvbSQlpowcWpFPlkWt^vtmwbnVii?^_yiFQhE@orGlN?_jqi^@ZR>ZW?uFx[vA[bpoAAkoAmQgcQXrqq\\KVsnf[_frGitk@cLIa]`lZybeFpaVs:A]iatQGfDpcbghhopQV^wgb]wl]okCv^oin`Pt`QpVapgF^]``X^l@pdNyq]uYiHXyCwOUOYU?Mu>KiiaRoGSiutQEXt_URaIGmiBMU_GiF;bncB]gbvmeN]IDEEpIf<_uVWcguBgmX?DYHluZLPZimAdSFmPItJWHYgHR_@yG`tl@yKeumetn=wBHneLNUHWVhqi<jQ`RxyljIqq@qOaPRaxUHw`PxhHvsDpqiYk]J^HpDmMFUuFMJoTnbdKX<pO`lAotEXhAvkoV[Gx^:gqKAteQu>PyW`rph_eg]_Yn]@[KWcbVxIWmAPdm>pe^yEyqIfupHm\\a\\uvcGPsV`f=vn:I_Eanr?lFxoG`]aqmn>WEglqgyAuhSYXwwbAUEsihcD^UfMUcRyCAOU=KwQkDpmuvmHkAEhEv<sR>KrTguf;R^UVcyR=?vTqtjobcUWdOei;BicHRuwZqd^ubJUcKqs`GeZYefOGvYx@=R[_Se]Wq=f_Eek=bBoWw[P\\lrlmMhLoVmWlaPrlq`=RSpQrYji@N_LqY@kFLrI=yEyKTDjWyUS=X^MJAIMvejVXoylVQhyH<oKAYQipwIk\\yKtam_xY:DRf]PyMvrYnxuJcxQjUUGlo?yUmmkaAUcuYTtqTpvyDPvHTyYrNxMrio@xKfuSNxY:@T_yNxUk[YNKxxvYrSlXtxu@yk@Iqi\\WI;Zpy^DxabQhMxy:fZjHtBYqxIfFYyWv_]yb]aeQqxa::uY\\?y]oIACwy;RjSEG_eEyI:kvVwskQTKauQk@:::>S:::Zw=::JvAWvg`wIk\\=ZyOfr;JHhrY;vdofY:jHHk\\y;:CYQyQRTxxhRIImyGltWvYnuExy:nb_@fRyiAakYGey_xn_lxP^LixuiicfvuHxvvlJ`_Kxw>@u>YmAAmvpgVNkEw[rQxEXZ=N`yEtMiD_Vnkd?oIayGkyGxiYgyqQwcyELw^_vYIpQOIyM\\LyepnP`RlxsAtutyiwAhMyYcY^QScyfywCUhxmyicGsVwt=yWyM:l_yUyCcLMa:vKy:dgPCq]h>YWqcbtOUy]XOeyDpOWLWhtw_MX[QPAqllanGLttpr=HJ@IUN`VjQQV<JG=sP@OdxOdHWCUYmuv_\\vKeSg]KmyS`iMCLmBqSbXSVtO`pP]Iq]AnBYSgdPUXOcto]QJ_IMfuVeYyJtuitLZdT\\mKwYJiTn]pMwdR:`u\\<neUMoIUE`uUAo=dYuEMQEla=jYxmQHX@ExIMlbYnEpSL@w]Tk:HyH<V`tk=UqrHrByRi`WJaJNdtbdXuDKoIun@OhLtE=U[Hu`eJxTVLDP[xp]eJa`J:HXJDKVTXOaXiIlbQu?`tpqtqDmj>lCa^I_\\LO^pptnGl:IcNF`:Npm>ZBwvK@bT^xNGcn^_J_^KY`BW`Tvj>vqUnqVgiiylAnkVitSghwO`eVyen\\x@jVyeC__PGtepjl^aEoq?Gyr_[Q>ow>xsfsQNZwi\\<fuT_q<_dtxprGs@ixOPcoYZhHhNAopa^HNve@udOu__y@VgEWys?\\WWs_Ol[YhvncKWvSV^fF]B?rIAoBA^JiZdqaS``t_tMOnF?xAO_eXnVQrf`n^?\\^_eIxnnFZpV]uynlYnGfyMIyPWxbQmlnoyOpfybshje_mjqjg@vIY\\cotqn`pn`j^uXOe_PvS_e^Nb_I^ZG]WGlSop<`oFHabYrv^v?>h_Vry_hxad[wqtxidNtohpjiSowPqTtaCgAeE]G;gu:KYHWWNsYP=YVeUyyvy;B<gEbeSTmT=wf`gI>EWkcHUCSR?c[[fDWGpEEH]V^GhjOrZ;vL=vfGfyMIyKwjyEWPODdqUMRmhr[YQUdYXHQg]Q?AnHPS[eOQ=V`xLSxX<TRhltptrAHl=pkoPTyEvbyUnQklxY:tqe>_r`]xY]uyNjvYoZpy<Ity<WOhVymyQ]ybpy<;ZjGavy`qyc_qbUVYtt;iy?Tny=JJQoEqyvyOrItwi::NnZYhryghymDakqvXpo=TYEpry=JZhtQhYsyujYNuU;jwSrEDjIIvyXqyS_krUWatx[fi_Uny;pdYwx_yi<ykf=:QVZYXrygh>`YiULqI\\WgXmxEJPyuqevy=j<yKfe?:v\\=vm=yinCOsfx]RwGbhyBuU;:]WGqwDQTEgDqmtpAtUwgq?dqoT;WX@]CyUX<=V=CrroFDuRT;vV[vHiIbGbyAiYGDfsYJUuUKwTwx@_xe?UPSyEYcSiBFiCqcVCcgfKSRshU[TV[hoQIxABjOS<wb=[HXeYfWtaevNMdUAdUoY<ewikwqev@qtxUVxobjorY?xBSWaKCXIuKai_AU:qvxebyUhsSfuQVuwrQeFi[RJuTpCR>SFsetxyF=syEgGoUEwQy]UBxWuDQG\\Ci_CsTcR@CTFGFCAy<SHd[cMWTrSvvQTqwIeiR^quT@qYIL]TWyIhNwsrQbxn]UFkgvr>`yrnfGXbvNfLiaEqmS@]By]TGgjye=Ajag[[ygGv_Syy:vt`otifuFxiQv]iVvAWqwAeiN^fw@qdvAw;]xiOS\\su=[YvoFFwG?[ypmEh]SZIU>WC<Yx:yG:wfH;VM_Dh[ys?x`quxQS<sSI=y]ewQYTCuGgQtSqR@CS]Qbh[e=KRN_f=qc=CgN[XIAyLIRnyORpqGDYOiVjyX=yR:dsYpJv`oKYL;@np@KcDQ=Hmcat;dx]ptZTTvipjUoKIk_YpjyW@\\nRuw^DP\\aW]yunAkRYO@EJ=\\OB\\qFxV<LPGLmA\\QYANtymDYJX<qvHxMyOoPOvyQjukAlyJdw=xMtIxI\\yylSexl>mqX@xxIJd<ytuv;ItfaPCmWohrpHMgDvKHYK\\PMDp@urK]lMuSkatfhrFqtf<UWDWGQNL<r^PtTTL=Yq>USE<WqUOkMwhEVu`JJ<kvUtdtwV=nIYvBAsUuurtwVyq<eSUXUL]YE<xneqLTY<AUvEp?LPS]Q<DKY`THxNmmnRMq^imEXqGdvmMjspO=Yty=JIHTyiu[xi]Pdhx`I`iXNm`Gnyo`ih]_hnFXgnNtWIrfV[_I`[f^GOwv>sRQjOVtdBRaBKgw?aTmeyMCRPku\\AhQ[Rh]HGugG_ym[Tn?YneU<sU^=sPISDAC^Ch>;F?cv;srdoGReuBqGvcgGgwqcBIMTUEGK[FpIxcMutSCVKS>EClaiK_x;Gd??ypYfuUUkUtCCxQErPkTtitLSwKEc]MGA_fPstPoxlScAstYQY@uF>CgLmvlibDcb:YleInxIdAIhsw]YP]w^o\\WgaX^EN]vaum`xBQ[lW`J@`tG\\JW`yvrPou^NqKQlyN[WGrcoi`ndlNcdYo_AvhI]bgfXvm=AyHxxvx`PvnHVkao\\m``mOge>\\Qv_UNZ_xrL?[>_Zwg\\xglE`nvabjqdhpxyAZSqiZfpvXeUHqfWvrgdSaZKa_HPwFy\\d_ik@c:Ip;NjL`nOiqeorxo\\JixWya>gtoWwUfa=Od]^wpOtCwjQHa@YaZgwZV\\FpmA^`;VtDV_Pvx>Qm?gkWivghunAhEifdw_h^\\]pihQ\\FInCprsN_=i]rGwGyfyxkv``PX[poghyxnfwAFuyWphhcTQqZphG^g]VxQ@[DayZHyWWe]PZ:OadP_Whmwiq_amQnhmgrmwgt^_JXsMnZCG\\@hdNpkZPjBV^kpZe@gtiv@ho_^ypOdupQgeoieL[IiGUHeTOOVr;FloHtAD=MG=KbC;VGKeewtxIhYqRf=vcmwiyUDGcambAQSLCW>mIECbeEINSY]Mr@CGU;ClQHOity@Kx`kklth]xeuKJHUWpsLiTipnnTknQlBdlEmlD@NPDN;iweXl;\\MJuJUeR]iS\\_`TO`ey[ww]RIe\\p]jodZ_aPibF?jlFqhFmBAvV^mHNgpxq]ycF>iyOdjXtofqpWrIgqNY]__omFc@@l[ykXVj_IfMHjKpk^P[:>wbpoiWrxW`Jai=GhwnpQhhmfc=>sIh]?amPawFog]gi\\`dWGvWOck`e?X^@^lrws=qvxY[_^tAVmwfr?ap^GrZvkGypUnnMG^WWk;xs^VZ=`kZAv=Vn\\XpMydkhgiWyUfw:veExgn@mpwmoYiDpgHI`qIjRnsyO[XpydYaEGch`mu^nbNtrNkpFljqZHg\\;ofv^h:VlJQZbOZGi\\IxZB`hCaqkv[CX^uXd_Xs`wpe@hK?jj^lXy]cW]xHwA>]Iag`Go?YvwNZGodGF`i_mI?hehvmNeFGpP>gvitIhse>pDWdaQxEyZUqsbVZ^@nnqodv]Dpa@>qKixgneIarPwtPQm^GsGVvSib_FrCHmppoLg`fFbhWZ:vbwhgRAiMPcyPkDYcEwojneu`nefvr>hCAqr^h]^h_Ocl>pjWqRggrngb>ZkymvYkQy]iybyub_BfSsIAikYCeNAssLAy=SrqYTdkeQaXQ[w_mTg]RLuc`MX`]BYwHXey@qrBKOV\\vKwsRQfByrlvy:>WOsb[y\\MwlsyLyI:YvXydxeIoyI:cY\\Kyb?yQsyXo`Qqoaxy:^nIgboOdRqjC?xuywYwy:vtGvA;RL_bhmty;rrGATYHQs`mQYhyeyioYrIwy:Nt>ooPxirIykxy:voYhyah^[g_GI\\dfyKiDqs@UtMUdhaxU?y>oTQ?DvYX@yRXmbL[GwKYMktQoWD]eNIRaOuYYRwqrylj[Xpu`tZhQOiNxXYwPr`AvrTYEAmv\\lgQsuPpBHpW@qs=PQMx=<q[IWy]Kvts]AnYAuhxo]dUVMWTMyReUGIXamPOllV@qZmL`AWVamK<J=aYaUoXUR@=o=Pcvo_uxpq`tKisW`vM`mfVldw\\Zfux_yEiqjYq[GfJaimxy:>\\HY_]`qjioeAieWrpqi@Gkuo`MxaWh`G`rgg]Gpt\\glD>pBVy<Gm=vkWYvl_kd^[?^wkhb:FhXyZjAdjayqxkkg_wXtVGwpn`INhkhgW`scN_uX`Vnmv_r@IcuYjw>ZdXxrYf>Q`rogAYrLqqCpaY`nUFbfOlSxi\\AfP`v?VcK`pfPgJGf<Hk;og@?t<nm`Qk:Vxgv_[ampqr`QvC_hkhiofu>@xBIlsn\\khbo_^MAbAP[<_gJ`ruphh?dN^jANZgxm=Y]nQmPyiiVrpPpUWmRXvKP^s_nHHagpeK>^`gbfNsfa]@_u;@l_?fQvgeHtD?rso[I@xHPveVschx@Nt_ijfqoLqsUisPhhnpmRG^G`emNn=XjMFag?nF`kF>ooNfQIv`XniWnSAugvq@puUWieIkvWv`ijkVs\\FqpwciVgjH]Gwqe>h?hfL?`xhOqC:oeachkyI:ytTyqi<qy\\x\\YTuUt`Dk_`KAMnfLkkel[=Lk=rW`lsHU?IyqIRY@KX=YeArpHQOMVRexc`PGqqDQVV]WyAoTYr^=vBaNhmTsHXMYMwTXPqY;YVymqPyY:xXbITpUkYHylypy=JyPrO@jwDViajbmqS\\theXG<pVge<h^lVsvhigauFn[oIj]?vIO\\?ohthpYQknWqwPhXUu[fQub?EdNSL[IpBuMcYQ]@U_ENOLmw\\NhYQq`mbiy@xRxaygxY:xwJYNfmpyXX_yWyqY?lL<ppjinPUmI<JndQdxpsHPJuwOxnslL>mtRYnmlMZpXoQVGQOFHJAaNQmye`JuijI`YsYuy=jYEnA=UfyY:xvDyuxeYD\\OAtX?AXYHvkxixndyAZqAwKoxUv]s=Vk;fuKaea>uf;bIAxR:BRqchQC[qY=Y><:^G:Ss;PNrxsj@uy=jIilyhYt]lwqjA;fb:pwbqoM^wpvam=v][GPV?BfuRqaeYKsy;B^eweuyXQty;RbIXPyRR]?jN@wghO[QvJERV`fN@bax]TO\\<NiDGdiIb`pZQ>k^F\\rwl=Q`PP[LnviaZXxy:NfThpUidfw]XqmWpt[htnWuGNdUawTijd`u>Y]lOjSG]UWyDQs=G_qaZPwdvI^xW]yuaxUxeKiyqrexduNEXOKDw``WHXx>mqYdToeYEitHpudUrCQPOYNTXmEUmcqNmqo\\Ll`tk^qP^DyHUvqQy:AVjmS;tnRPmqPJviRe@Y@dUm=Ti]KGaoPtoimXQYLlxRRLLO@X?Eyn=UVQL^`V?<jYluHXYxALy::OyI=y<[yqsYxuty;BrgxvyI:YVNUHMucyGx?CFgQRaQbkUrdcc`sUfKb:qrZGYGCxu]gK?I<qc==RqMFCiDH=CNAY@YWrqsmawlMrZ;D_IxWgY^aeBKxScxkoHiaY=]xp=fAIr_yqP\\u;hK]HntxY:<y<]yqtYxtty=JripvxY:XVNyY:LrQHvyHylYqy=j;ioauyXXnT@mwpYAyLa<iPQtXoeCo_Nx_`HqkPmWQlqfrLhbsg^>Ap@?i[N[Cgvhfushd;A[HFtTWu:y`egheO`axjgNmTIg>pgJ`aiP]CWgfnaZof?sJKheAcRKt<cGmyhEwHwkuEAxRwIQWui[yTm=MwY=Y=[yqsIxuxY;inayy;:tqy=jktVtxN=EsZ]t`IqNanLinoTygPsUQuimloyPT<s]dK^?nAnvGgy;^ZF`[bXf\\ws:yhpQyOnpTPfjauMXbu_aXYif>meV_]v\\_?u=wpFfnHOtj_kmH^VvhYAx@@iioYWui`pvxY:>OV`=yimYvowYAna[jvxuY]]fdhG`[^]]GnxaqyAZoiytotI?kiqaMIi[axinlT^u_vb=wYwrwmcxaxI=I=[yqsAZIhdgX_=QmXFmrwpPph?ngN>\\Lhcm_a_Q`jNcsQljNdAG]R^`sIvgG[kWmLqrdPtTHbPalPq^_hgIoywRygu[yI:GTceDvYg[ssKkcoabk]Xt_RAOD?qt\\UfIWiWofSSRpuDmMWs?t?OEeQeaSWPkVfGSQmucUdDidgMfSufPaC?UeC;HuCCMMCUuBbsF=;yrWw=Ot^?xq_ByysekeQubT=bVGsTqsXiffKT`CYEwc:CCSKg>AVB]suyt__egKTj?wPQRdYTkys=GXeKGXgdk;se=YmWsHkve=c_oYRcSnMD@=T>?xa_cFGR@mDZAc]exVKDvwYhAUvaDP]I=oeU=f;iVdoTJYuB=xFQvcKePIUPuBY;GeIhmORJwe:IuCkc>QeqgcaYhKggocSy_rTqhG?ug?rP=F;MIBue[wHHKVEESj;EOIdvMwBqRkGExIfrqTtwHB]i?Mv;GfUWic]HGmWGArDytPIDA?HGwxt;Vu?CyUW>MhJId`mf<SG@;Hk]y;AHdwtp;dncy\\QkXUlaaohTNwqJeTyvlQbqLgykEAlUEKfhM=@lfHRElwhpRg<y]DRihWZ<Yw]YBiToewQ\\sJhpG`W@iJWqn[ErExMNPOJtR:yt[drRYTvdxA\\y]PuxhNgHuptmoYNSiogiWt\\S`irCTvaiKL@r:lp<Il<@N<XMFdWg\\LyALg\\WvpStyJC`oy=jklwxTR_aX>\\SaYJgeK^`Wl\\lGIp>lLytOsenRMqZak\\=jK`XYIlSAyYhrmAwjUrOpS_DVgqOYDYlUphYp@ekPDs:Hym<RhEJRXNiPsBiPjyXEHvqXti]RxtmThm?hTE]n`MXqYuNlm>hk_QmZirshNXimr\\khhUd<pPXQWtJUeS=QUPaXshoTpUaaSr@SSYshuuU<nr]VA<mSHy@luBYUIEtUAQZlkeXRXHK=xrn@t]qyWuT`dydPsTeTLYQcQnpXmCeKMeOBdNx]gAfatotpgl`@yiyc=hrqqZQQbUgsXwwgqd@V[Cae=W^=_[:Fst`^sad>_^uncIO_@>baFtkpbbVZIaaI?vuxtji`qXjnYZZoteG[<HciheLAeYPoVIoGPcupjVqvp>dhhsqal<n[Hhp[A]`xkL_tnOxgioVIgIHfNVlWAcj`]@a\\@fbBY[JX]?@a^FlCi`SQfD@ZkAivI[\\i_YFrxH^Li_niubVrd@idWt@okGNaQw^gYe^njUwjQgb?vixG]Uh^DQbrVf:hae>ejqwYPoYIgqxtYPgmFwipvU?]hpeondVyj^F_;vqOIjIAxmxoA?fqGp@??UHiaRrubUYxPIvNixQUTK]WicheSur]g_MDIAXXqcLwxRocEgSdOb:Av^aF^wcPIXf[iMewWCGxAEMsgncSlUIWUsO[d_GYEEDpECn]eFCHlOg]OrAqsCweIYyJwtjOVF;dAIEryI:YBX?vkeDvsd@sGT_IToB;gygiT^KdnEDGWVRED<Wx:grpGbssx;wH:abooGDcy@UGBytqKuwoh]AWYoS>ubiQwdSdo;h_YxAQCuYY]OWYosOed\\]CJ`PL]yeLvA<xalJvhLgXRaTKUAo[ujMQLPmxnmME@WJ]NZMqc`shXOr<L:AR]qx\\qNohXYxKeQuQpknemGUmHQK=YsRtsVPWLiy_`L@iTZHPJ@t<\\ryHMr@P:iUw@upAU]\\\\Hay[?v@Wl:QaXij[Yf_iedWp^nsqytmi\\GnveV`@HZSAe?PwA^eMNtZxtvX]ywgb@yHWv<QyH_jyAZRyllpuCGhb`eDq_WfnColJ_^KVaLfwu>cFAcEq[AGAif\\?DDAB]]yGIFgqxWcHi=d>ux<qY_OVHkTqKtROCCCF:[RaAgAktBAbZWxKWCkEXRyI:wRFuUSyI:]hngty;B]yI:CiQkwy;bXySyoR_=VRyI::fdAGvQVdQ@yQxy:n]pyqoYwcxy:FwMFtA_ry@yqiP;reutM<J^tS?exLAU@HsjYYiyuyooTvixQl_^hmD:IXmYVysuy;RumsDoFxuuwY_eqjYxYCW\\uDEyI:]yvAuy;rQysxWdL?xPofBetx?WaUtQoWDeHBcRNED:cRN:::EKT=O;@o_PN:P<::::pLD<o:PND<O;dK_PQD<JgaLdIo:Luc\\TJUjrQNWdR:pPDdXN@JTI_^P=uRTUTE=CbSru_R?oREMxXiVg]tfaCbEbbqroII:?fFoC]?FHKiXgtSCvY=i<[io=wTeuUAYEODuoLB`x>pJd]PbHv?Tk@uR^QoUqR\\YPV<LsajFptx@QMqNSXOUurVXle\\R\\EsVPNmDKM<WfDJdHK:]n=tk=QtW@vy<keYobqJyYuLqJK@pKIvP]sj]uU`NuaMbDURqP?Yq@tT?pXo]MPtJnTQUMtWyw[xL]YMILkrqktqTnAYiyTLynoljRUNpPKvHYVXpiTm=`LMlWNMQg=vR`KmMUXYnP]yOdobQqH@mtQTTuYbUUCewohRvxJHAkeiPjLUpdmr\\vXXJJeTGxW\\qukpnRAUWuMDPUMxi?Wyw_nLOg_peugmbQnGq`<AruH[MVgaOlRA^ooouhbQqoh^y=?obwdTQiTouSWuUau=^]xQgE_][HjZOcc@ZC_]cPjlNb@@rFfZGOvXFx=QcXxZx>\\PahmNvSowhh`eW^eWhb`e[Vx^Ad?X^A^fDOkbp[:fd=nlrf^Ch`o@ivv_ihilXwPSoeYiGYcMuRUbpkhJQF=UUU=S`SdJKTA;vvwtJai_=YfkxRaXWuyVWDnSgOiIOsVjABHSFFUFqWYH;SR=RIYfT]WcOi?oh_yV=uy^migaIdkuaMUQ;HwkCB]BxOvE[rwWv?Ah`iy[SCIAteQyGwEBig_udM?iFQFA_CZ]wKkBKIrDiivyDC[eYsT:AVQiByIcacry;BbswYiitYdyGsfYT]Ygb]i?MGcsDxyeseWfwfwsXJiesQdBGHVCr\\[G;_sSMSfCGrurxWR:IgcsmWeUrQkMeri\\ncarG=oTQUCewiEoBeW<dSnDtLhRZmRLTODIkF<O><JqMxb\\q=muqxQ[aqjyNwij]yY:tQLyY:DXnxY:LrsEvIMyExRyqy^xY:Lve=Nl<Jy]mQimy\\RYDlSIRityd=yxLuudOadrtxnSaWopTslviUM^mK>Yoo<U]<lQ]SRtjS@RCAyA\\qnymjmMrYtxQjkyY:xUcxqrMmyDvv:jysTArOki^cuq;rEKviaGeeu@mxBoFPSGwuYJCI]CgLShu_HGOClOwbGiCyS_mvOsf\\ufy=CIoEqgvu=Whahn_YMsSMubkQi[owLACXctJaw@SbTcdGuYk[iG;euEbrwRv]wy`jmQrY\\xQxkxWlyU\\AgyarmOrY[hQysxeyCyqClotXU]qpQhYKtXoEYgaVQHlwYLCUSGArVMrGytUdv^pokpwCxtCAlBUQU@wUuPsAQgdqEMvWhsZ@XrTUGHm@EqVLpwHTOevP@LfAW:hRNXuWpS<MT:iXF`YFHkBQNku[wxy:F;::::>ePyy:>\\hogvHf\\y_GVerqg;oaIPgmibnNqFHZhF]QWaDGna?b=_bmgpBP\\hfvS>Z`AiqOvgqpa@v;PvEgmWFnYFgpHjxXsmfuUIoX@a^Qd`?clQZCPZsF_?@lOvstw_JjSuyC::XNxY<>N:lm[Hx^MqQ]RgxN<ALbQlWqQ]DM[ixp=W]@SIUQ;mrg]vJPLXlJkUMgiK<TJxmmrmXiML?AwTpNIpMOdXuavqqxkDRpmwK=VC]jimlbdJWIuQhvUMJR<LC]kN\\q=mUoxY:Dvv@HXFw=?ITJ[_X:>axF_TYuGpZeQdLanqXtohstvvJ_pTH]XFiv@qXP`^`rk@xg`ZeH`^fkRhf]V^a>olHxfv\\xF_tN_=Am_Yt]`tgn_LgcEIhSNhiprxfe^xrFxmUxi=fvnne[vwKvi<II:Zcw[I`acvy:FbrwYYIoyn`LQ;IRciR\\qmkerrYk?myW\\tnyplXpNMtUEk^EKK]JhMpviRo]UM]wyXV@=ntmvYeiDoukymvugyruxY:HTC^gyVvDy_fxqtmLiPndjuMwluyLxY:XvXytxeQoyQwMNtAoryLyqmpWWatyDwMDTWaPphNL\\yxXIhHyI:Cohl<HykxiY;GiiyRYQyy;bx=ycyqnElehnYlYx\\wy=jeyfMQljpl`AKwEtIwNiduOVeQWKqeIivWWr`ce_ivmARecgu=fomCFgUfaTj;rrmCjIHQcXZWe\\ayg]iqAWIagTghPAUx]CCgS==EBOcvOyNkSq_bguHk?D?WG?uRsYx<aGayh<sYOUeOqINkg`oH@Sy>Qd`ey:Shd[WgcGSOtGAisidYSfYKy:WFL;bAQwLwTTGGYSDoeU:SC^kiLAIuUx>UGeYgVASPWuBOb@uCm;RH_EOCBqCxrEI;]Yiyb\\WymCFrcxpUtgwInyFNYVMqtUcGfUfECC_GD;SFNsCRgRxcfc]i]CF>Kt;qTK]eAmRvWTfUGXghoEXuSSecGxcwxMhE]xCUsBsXjmewGTOSsaOywMSSysDsBy;XYoX[syMQgpuTLCgQ_SyQWLofriyNqGTgDHCyn?wNOCHKHpGGJMxAstcivDCEu;E:qcpQslcymMfhGWbyeG[FYecwqDt;caQu^ESl=D;Me:SD@QcCQT?yeh;Ds=WsMtBIcPkyhyuUEgKAunCbAcU>uSiQIMqFSkeqAbVSgmQG@=Yq_CHGTj=sX;rXeS?Ey_yW>ewpYU?sHTQHbUWq_Yu_wLqrKmuNUiLii=_y;MbsccYSdL;RpAx:]F]ofq[HiQUXOwToSWqoRawfuO[Mr_pLkIUPqvI\\Sk`y:lRWmRyxXvDqY=Mc`MJuJbMYNQXu<OK]muiUWUVOio;lLZujydKBYq`UnyWwgxieqwYfyR^p;vguy`QGwpYavwy:vtQyy:VfAoxhGpyAZxnhyExery;BpiX@]y=eTvUrgCHlUIgUfPQEYyqkHNDDK^TvgYysywvmR^aMkLnRLYJ<sJEQJUsGHP]uQKxp:dooUOGdKoew>uUGeVv<PCLJYlnSMnc=JOmxJmRZpXLpxiqr]akS<QUxmSQqy`ysYuy?ripy@ykfiuY?aui]xxieYwyAZk`oi_]dqq\\vg=>wTaqqN`bwpIfiah`_Qq>WcKh^VI\\nXaVPZ]p[;GyqG\\AYsHIgXWgEwfkqfTYay_\\C_aFogQNdnXi:qiBIk>nkqVuOhd@@\\Ow[TQ`CofBNhU>^`YZ`pyHitsxYAtgAiywviqi@GRaQW^yVfqxy;Brity;rRwTPSGXavPgvy;RNOvjEhbwhwWYM_TA=dUYUP=snUenUiReG_EbOqYDKe=EI_MgOCCLqx_cSw]ieuW>[Y_Ww`YueyUSwCg[FqyxKmCo?SiGUaAGppL=]PUDRjqx<HUItj;drV<RtyY:lxpiOyqqPxUryly=jRQTyuvdyumuviyY:DjYiYGDyGpjsPOdmuU<ly=J<YSfhuX]UcMqvYpgpp`DtopQoTxcXJBaosLXN`QD\\S>@jrdV@UoeirTaQxymNIVL]PyiMdyPxXnMaxpPlhmuEAO`TXDPUs@tP`o:eSmYoi@mZhvk<LSuThmSZeqITYupT@qYCiwy=J;xY:hYG@OMexmQtHyUyQjyTyTDXgXt?QmoqL?@YJAYPXSuTwa=MSiyI\\R<`rTXwBIk\\QXienCpXO\\K_ekAlufLWO\\U[XnQmyOdUdYpyDk]\\TipWhMUgDUpXKA`n?mvRMuFAsZhYOMLEEnE\\ys@RcuRjxlyTpoyksYxqxY:@ripy@ykfeu]myviwy=Jj[Wodbfrh>fsvefuRwIYUyy;BvQsy;RfAwxiCPyI:yvHyEyOry;BuQudEH@AG`WrNqyG:ZboyGqtyvvH]<vQobt]iKKcsAB_wYmg@:xTWpogpoPpUhajGlmpDLDXSyDNB]JnymXqOIilGAy]dkTyTVxY:TnEyY:HNAesD=vKmWcEW?dOJalodQ<eMeXsrnsfHt:InD@o^Ql:?ZuOl:_yd?Zv^g@wb>`o@Vip>q;v]VObAOwdwm>qcvW]xgaFw]tIdOvhLOgK`^Lq_jWbJxi<Ngpxd[fuDyr]Vp@yunQ_cKvqmINfGpqqvY=wNYty;RjKyy;rrerMIhqCcoUSG=UVUUeUTRCWpoX<WiAOhqwXr=yHsFgiVFKDIAh;cH@]S?ACUmxIcE]YT?sYRovpSTnqvMOVlWseYWcWbA]I?KBBcXrcwRiF@eD_qCYIy@[CJsXKWRyIvUascqxryexeBGyQxukAuyRTniiky=JbatMyiZAxyGxTpsn@yYxiofyW`pTh`V@gqxg]?oDygxAeaHeXi[bphjG]KPkS^iwXv_y]rVuQ_qAGxO^pwogGO_Gw`ugjE?k_O`OhkgqdqViChepPvmv]PXrc_aPxk^Fi<hlvyqjVpiIyIFu]ykta\\nyy:jAtyRvsVviJinaxiZaxyGxDpvnweFPmXHoeh]R>y_ggifdXFeEiugAe\\?\\Cft:AglasM_agGr_v[d>eFhaUWvPHoHvjAVla@[TVgB_v<PyC?lC`^GHfugj\\Osk`[eNpLpaeA`BIdJYqgIyAX_iIyXfjmxrY^xcFgYAywv=nmrvy:FnEocyAZ;]]UlOyAgRwQyIgBqMUDAWCUir]VSuR[QGg]w`[vmACLCS<GiFmeDGb:uErkukUXQGr[]iEaiNgHGKHC[xragfuW\\ArLUctaGcSY[SxJ;UDkG=uR[CX[WdJ]fJYugGi?uuy;bB=yQqRZYH[cIryCuosIkYkES[wIbeUPcSeyDMUdI]YUEhlSsW?TrCs]gejAT;sD>CH=]bqowmUIP]ulIe\\EYgmc_yE\\[flug=EFByI:MHhMIwoe>uh`csKoT=?rZ_DT_to?sFMi^;tfQT:]fr=DEkdqmV^GRsKxBACdKxBAC^oUOyh=sYI]HwYd=YxbUgqAGYGCfuTFWgeGiOuVUed<CcLeDOEBNWDFmCCav^UxOcxiAIpyuokuIciVitVSVnUC^oGaEvcAVeWGWyc=qtTGwDqWm[Bk]xlOBUIDSSD:cDsSICAS>yFiOvYCfOGV_?wLir\\eWUwer?YHUTquWiCG<OvOCUFYuYqvImE]_Fl_EFgS_kBlCsu;V;;R:[HOSRbUGtofMmGSSSgUfIohykHH[VK[UZiHVKIVqevyeHqfMaHecwtKCUSWEAgggWZgUKcrLeW>uE:UiOKGbWrQwI>QgCehueWHeYQGUXCeZKUEATq;IpCGmUGDEFoIr@mF>sImqhW;nedraMWYlKgtOnEqnEUvxri`NqxpkMwQxLc\\O<XycXnlaY`XX_]WU\\jJ<JKxTwAUHMxm]UK=rRpPTIjE\\RJTwidOeYLvLuq=uTMuEyMnEwH@X@qXB@JxtxRlukDRZ<JdDQvuo`isfdsOhuwiqXUO^pWqAtGmPbaYohTGTVfAXD`TjXRsDSsMPBLxH>_=VjPqiM>y=GejapTq\\g@gQysqNuSfpCntqVqSw^Zfs\\FpG?oFidCOuZ`iZ@jBf\\]gbrIh]HwqnpmPuXOw<WaVWcGFqr_rEOhgnyIqxJPZ<^^lQprxsQps<WZ<XaDs:SvAWBWyFfkwTuYKewOkg]CitmY\\WEyKxjKrmQH@Yf<WGrWCmsEuKDEEHdkGxeEcQTcop[@OeIlcIX@tlpUOnaquhYLEmR]sD\\mPHlWHKIDvu@Kb]lHpSD@j_@ocEPX=uWUUC`NpXYRlu`@QA@WOtXFlw>LJlPqFLJr\\MQEpwAxhQr]=RTxi?frfXwPnhPVcLF[gOuONmOwk?VZMH\\XO[c@sJGcKOllWhTId:_\\gaxoqkHA]^?qPPvrOvCnxcPbS>e;hk^ijEVqs^a:N`tWfDxvvW\\ZigmNrPGoOfq`IncXcVn^TY]EHyK^v@P:SFT]D?;rPGIIEE\\sd^eBJQIdACG=rsguIUrbaVKaHEYSWuYLysfcuXuf>=CSKH\\ghfUUNkgH]cFCb\\sbg;DEmf<=bBeGWyc<gS_?yDqewywXKGecEXcwh=DDuYt;tpCWTkB:SGkCGP;H@AxYkuRWWOOBF;W:UYJetCkC?;rEOtN;DbcIbSrQmr]kycWwIwx]yQ]PLj\\oyXV@yofxQtglyXvIGyQnoy:::@OfqOaxOkyOxiQgyY:XWQYty=JLyn\\xKCxY:HXiYWyqutxmxELwhLOUS\\EmaXrieqy=Jy]unxY:dY^PScyvy=jITmYPysyY:LUluto@xuuwY?ZhP]yoyLDW>ZAiSlAUYHQS<WETMvOWi\\_dFMs?Wi\\eELcbucWmgct?hs?xsWDgofnMYpWYB_V?KUsGuHmVaKTBMFIsVwscaOudkyWAxuyb_oi=cVlGY\\gy`KTvGiE;y@krxyxHaiymxsaVaodP;blyt=kUYGUhmFWuBEQTWWUEWuASY^Gf`[b:KFpAQ?<JguNR<J]QJadS]<SGAmbIo_Duh<M]IPUDrhmm@YRCuUi@M@UynYON=T?TSwtqIMPBirWhjg@P<xkm\\r[djQYSBhMXQUZAXs@Jg]maqmrHOP@mPHwh]JkHKWmlq\\lbpuDinDlou=jW=sAHjsHpNatn\\l;tl[IVgqJ;qXR=WtiVRHLn<V=AwCLxqluY]LHtkkquMlyKtqHXm@@MbMmQQM<ePlhYLhQ>=nD`m]=YN=Jw<J:HxDpt\\<jkxU=mmTTlIqYHuYHDWG\\V]AuGIqkxkEAUf\\uh\\U]IjS=mHDM\\iyGalKax>`t]aTMQSkXurENJhnDUuZdL\\UJUTJZAlr@wsdrYQN:XlQ]KNUXCtqpIxdXQAMPBaLpHjTAvKtMvaTn<T=LtRYL>MpeUV>IrbDsbqLLLsitUGLluLq<Tmp]MQLXUXm@LvmXjD<tThWRAmxQSAxmoiH[gdcbN[g@IbQqwBIrLIvAeYwyI:HOaXUrloVEWJl\\LqiLQ`AwnVIwN?g]`lEvqUYd_yspibypsjvucY^`q]A`v`alewh[NbGp^:v\\Zx\\]vkvQhbHtA?_QvlU?qVgwLA^UVmkgrBavtiyHapAHeV@s_Nawnqkei[xFmIuOGO]dlErmUY\\?fDUb@qhTuflyGTkr;ihueTEwBLcW`YCcaHwcT]YiuohvMi`uIqMxDOSdSefsFYKwZAB:EB:AE?cWNTj=UyxYxxIJKxY:<FfwuystqZ?wY=nxwfKybbN]YVuqymna;yI:?riqqYXuqyMnakEty<xQuQmIQNH<Tnxqqtwy<WSxLxejy=Jp]PyyWXyY:<TlxOvQky?uPiiNNh;Hnwyqswy:>bByqjY_yUfOw?ixOiro]xmUchqD\\?IS;rLyWCmvMiyKsbN]TK;V;UC?at:ISkoYYWXd=ylqx<UtaKU_[tkuggPpBmO;hq;XuFpXGivEQormlCanJ<YAQTEEp]YKe\\o^aMVlvvyY:pm<PQMDSTmrvUO\\eNWpwSPrdqLQQyghsopsa@xcywadpuho^EQt`YGTK^aM[HwHlU:]q]=LILwCeOhpvupLdyu@lvUEk^Ux^Ll;unPHL;\\UmxpWLLxary=JxxrZpolQKiXW^amLly]MJUYq>PL@ASx]MjdYslpRApxuSG`wxHLYXQ^qm<uoopVxlwLaVrUPJYwBhLLDqGirHdVPMORYja]V<DTChmpEovPkeAw]PUsuj]ly]YjjXPYtsZMuy=J=qXoPof@n;iYWHM=uvjEy`UvulKAYnPtSTyVpaWXxwWtyDdsFTQ]Tr`dUupxRuT\\ykoeUOLx:\\wkPkiAw]PElwsYYcivnYv`HsjerT@S@Mnpdvnuwf@nM\\sExpImrqPlRex^<Xdax<DYo<Mo`NrEY\\tU;AK<XO?dWvTSVXR\\ToCLxQXllYJ;hUG]LuuuZ\\vwmsQUyEary\\xbLwy=Jrul_yY:DSOtv=ujPQQQumPatnpvMYvD`RTurNTp>MxBesl<SUILm<oK]p;lSlusO@TLQTOXUe<UshMoQV=HRZhxZlt?qU_eyEmywxJwyx=tYAeNqQNrduEmIpx=tYAsfOvNmx<KGg_dUAWWEdkUC?qFduXK;hPMsG]dhQFZcgNW]QFZb_nWqbdq_<FtCOqG`tVgZ\\XloW]b@qEfb`NwqFdjo\\DhcNqg\\@vgvZ_p^dI[\\@v]?iMqy?WwIxx]xy:FtC@ePv]kYvQntYgyWf^i?iFyYExH]eycyYoYFQc;AhyscbwbvyI:KYtOsr[y\\MwlsyL<jAiqidytMGcY\\Kyb?QxOuyuoWwcrMPQcnjC?XYyQyI:iX=ysy`NCFE;rrGykwiiyewsV_UHYwsxixyPy[wy:Nt>ooPxirIYyI:YwauycESRUSm]bDuYnWdcYWqcbt[f<Kcb;f<KCc;W;?g\\KC:?g\\K;B^cIcQInabacF:OIDoxy;BqYelUveuiksId;bbUveuAkxy;Bq>jD>_T=pBB::dwy[:LfyIfkIhy@M:r]uAk@>J:pBB::\\GBZ:NmUylbdt]CJWbbqfpsFdWiFKGmySp_tYeFGqFp?b\\iU_YCy_y^wIxcSX_sy;rmMsIYyZItDSyDWwrKucmeFyAjCYMxEyCKstuZ]quik\\hm^iSyaq^xY:lQGljSxqaalYjOhj]]UgaLx`tYYXDysuAvKevEuYv`vyc`sue[gQuCk?w_Ox_wABIMwYII]yvwMxbefwQrkkG__Tx_ty;jFxmqIs]PsQFxMpysa`loQN\\JXt>PdnA\\Byc`XtGY`kyZcQdhyjn_dPql@WtWHfJxbcNlZnkQ?hPWxM_ZH@ywVoO_xIy\\:xcva^pyfRIg=wy:VkfhuEoywvjwqh=xy:vb_ndkacXQ^EPrtFokqfEHfgXuMP\\=gf^xbnov<osAvwNPZGA\\Ba_OVe_i[OHf?i[SQ^TVqpvqm`iWwsvadPafHXrDw]vieinxaWky?waWpyAZ;AcyerQYleUewbvAyjgS^mXtoSwKXQqRNAVK_RTacjUUWaDVsU\\AC\\UfoKvi_YlCip_BF;FfQghWX\\?YLssKQgIYvcOU^kU[WYwGtx_eK]y;_wXmcO_XF_EVSF;Gi:]g[OX?SBJoHLmCp_uBah=qfr[XVyI:MRGyvAeY<yByutIqyDExqcIGmtY;IdyUveUmsyA]wxubwSgwoSQwX`AWLUb`AH=gh^otZ_UfygpkTK;cOMhCsci[CpkrCsrTkYesYWyI:MbOsFIucwYCu?uBqyQqvfwEYAximrsWyREGA_i=CDQUuEEHjyEl]hRyeucrIkih=unswPkGD]YImvIgY<Myy;r]gxmMfNmBGqBokGgqwhEVb=ECgB]gTPiBh_T@WTVKYKkUkgxZerm=fs]w_UDo;inaHkyrTahnyS=QDEUb@;xbQUTIh>ET@]Fc_TF?FtCEHWBDIYRKx][dySXvYM@Tyi\\YOxKxw^pygEPiIV\\SymuajIpyhFqwoaZYevibjakqpaUnqMyoAvj_FpuXego`sggg`fK`wXY_mOa[^kdhwVXZuXZA>aBysGGaLaqaGneo\\TvqAhh;Wfe_iPQxUyeU_`YWguYae`oK@jyGiM>`?vcAGr>Vf\\vkbwrByjyAZ`?iupy@Xgx>qyE^Kty;brMi=qfr=yoChowuy;RvOCAyureYsoueCf`yXrYx[?yYWbmiYLeUWOwjCW=ubuSgpMU_gYPMH@GIp]BBAX^_gGgtl[uFaerUscUv`?iGQFdIDbYHEQRVEcgyVEUFm_v<CtXmRnwVKkDlUFm_HdwHQWsBYfcQRDUI@mW>MyImhaWcmySrIcfYXy?vKyI:iBLcuqibW]YG]fxMuJyq?ytMPUbQpy=J<uPrutF]TfapBiwnUPmUvxdkpAXYuuZ@QuAuPduJDs\\pPrUkDMoOMka`SUmSLduQpRpISZPUeMmLQWCTWbanmPTYlsuUsiapo`ughvsAn\\AU?IJ;lTCQPdDJNmWYtNulK>QyImxiYK:`nrqMBIjYUYbxY:DXnuy`AYupxY=yCaomuyZInAmYy\\uoqMB`vryO\\YKedyd`VyMw^PrdQY]qsPLUU]M=]lK=KiIlATmVlmXAxkpP^aNaIWB=Mx@OjijPyjjUt?Axf=lyDkhyjBhWayUnTRsUYDToMlVSDJlLpAQJs]QiTNs`NLXxj\\fIO]iWkHwi\\Aolxy:FrJwy:RtGRa?IqIey_rTYtjMtAsQs<YQItjyV>ukCDwmqurukQMJGhlfmOhaVLaVXtmytXE`MgPQ>mxvdj^yUSppG@Np<qaxmkyS:TuFETvdSu]YoeKteQUatklMe@s?hwcEkPewqlv\\LX<`Q><RByu[=lwmTNuJul[nymfyuPnxkiaKPyc;AwxiSkmWj]YI[vIgi<yByuTVoDaiboyU=Gg[uyC_WnIsoUI[[cmSTUQEcuCk=d^SDy]HDutsCbZOFOsEhoXgcWheYaibrGSegSaYUeETcyHxegBoVncSHsg[WvLKC[igQIu_YhxCDXwH<=t_ICV;UJWxj]VA[ynsuPsvAaRpYbecvIkqyTyehrY]xnDuy=:rtiSras^Agt]FkGxLkRgQGpSIQubl;u>sRUYerqr\\Sf^mElUYQGHHAWaYV^srKKFgyI:_rJEWLEcuyWTaeU_wKGIKoGVSFfay?;vpWxIOsLYBx_I\\qylyI:AGcUwy;R@YFxbq>Z@gnZ?eyki`_nahNx^nG[S_my`ry@Yewy;reutMyI:K\\xf^yAZAiqihytsYLNtYo`pl>MpIyJYQyy=jx=qcyinIle^nYpyx^w:Nwh?jYvxhQc`qyYfieyy:Ny[ynyUt?sOMDVaSWAuy;rQAsyPn^mOsmwbQkJUWT`VPplQEOwULUauViOfLlFLVCaS@@n=pk_htQLwthTCtWgQvwpplPL[ql\\EW^=w]twZ\\k<\\vp=vlxXiauvlmMLQiQLYuU?QYkDUvTTWIU>ER\\dM@AWFLpGijT]R>DMR<xCmL:qP[=MjMyQQRyXLSqUAAXmHwkDRi]QqATTYkwXrFiK\\mxV]obXo`=MQ]oJ<lD\\vxXRO<xw<pauQtQUlYrjyW>uXXyNIXUNyVpLpxDn_<UUew;UNEQNQuSk`VFinVQplDnBDXkum_TJ?puIDRX`LN]xiiWnAYf`xm=o]\\nmTuHQxCiqqlV\\qx[<Rf<MAtob\\VSXUF<JpylQqLpHt^tlm]Ne`NcLkPDSiTNVPO:Dq^pm=mPI=JLPpi]qOIVeem[axUdQGInvxKEML]dR[@sFTjclq:mQT]VJPxGATIPu\\apItJQUokeNIYY`@WJpnY@ocuTypvC`QNqxqLkoQMeUQNHK_PpAIlFpYbiVHulTPuQMJhyOvHScXWXPvDQtW=UCilfxPmhoo\\sj\\RL@uaDKyqxSERdDUVMjJlm@Lu:`Witogdo^ppHlv_iJhuvP@TA\\jQ`Le<pHyjW@oamY<XyO=jtUYVxtF<UvaoQANkitPtOjapU`nq\\qS]fVplL@d^gunWnDQsx`^PO[HqwD>fDIc>vaH?y[_oSAyTWvHOlUVcsQmRG]LxvKw[WVs@qo`HvNXusIfV@q_^fHpb[>h^?s<OoZYiSfs;gZ_aoQypPFhHOlIWgjpsExy:^_qQjNG`AQdsnrlGZYwwh>iiq\\rydJ_tnimXFuf_xgXcfqdMHbgfmNqsjH]X^`BowN>s^f^\\P_uyhv?uJ`y:yveFnrI\\g_hIp\\cwpmWbyxeCd_wI<IxaYcxCbOYyDAfoADBofMMTs_iMMdcGbsqfrYg=OyOMsTAud=HI_yLEiK=VQST]xwN`U]LxgiKBixDiMa`jPAUHMYQuly=JZTWXXnx<t]ExxHm\\tY`EwQMvSAn@lVCiRNQVXAYsQTdLJMLnxiVq\\khauGAtjQmiPRi<MXIU<qK_PvQUNHmPm]uUtrLIxo`nJ<mCQxE=L^dvwYu<IlIhU@PTfIJh]jX<MohJ>UwclJaX]VQrfpqZPqFpi@_qysCCvESemEwUEWtUEdktqqHQ=dcmXKEBoMWTqsp;d[KIgOEYmGYKHsCifgvvuX`IxuArUku<=h@GwZAyFSwqODSaiUGRxwupmgcayCGDLhPB<V>qJ:MUCmJQ<OJlP<\\wHXU?Qma]JvyQfpPOHX]xuVmuBhO^AUgeOXhU`EY^@SKqs[mLx`SAhm<Tl?qry<vraP[mxfmvlAPEappEXUASqqLetLLDM]ujchpj<QwDsR@sCQOXHpjyMBdXiumI=ocIL?aWKXUcuxPxPQ<s^Hj`qpT@XvpoBTWZdNhAT@TJiyjVDxP]qu@VWurBExwqSg<y[dTMXUp@WoVfBFlGGqYpaUW\\tp\\Vob@VcFNZqog\\Op?fsM?djqeU@iPDFMGmMrVCSvChvAD;WspgRLubM]R<wyB=FZqdb]WAkBvwy\\WFU?s;OyYGHhMFyERWIGyssosUG;EScxEeElCunwWpqsYIXeQgK]XKsWfsxlcrSWieiuhmS:sekQsf?yy;r[oxGMVwqY=QENQU[kgfeT>Cf[GrAQs_sRlaBFIYnIvsUH:wdoSEWUsEYd_gYUMccKDjChW]II_FlCX[eTOuRLCs=YDQWrTivQ\\y@twDtyaiUh\\MA=yGanY<wFLtRdLhIQsUkBao]tOdXwbDhYfesXyWov;xoIYfyg^aHlig\\FQfU?_V@p`VdLfj`_iaw]xNa^G\\V_hy^[oyggF^gwbGoju^pqxkNG`Uasiy^Sqw^@qCG\\WHslVaDOr@giSArZN[:FpYVkvg[nvffQy?_yqQ\\NXgU^fmXhg^yhg]P@eQvhHij]ohHybDan\\ipvh_yGvIF\\WauUGwpp_xibwhqQIm^n_C`_MwwRAsCwvR`nM?wNwktwvfqaTVgPy`tnf[pZoxnopw?`[PNmJWis^aaPjbnvFX]:x]k?lf`wxObetKkBlUwYGfyiri[iquGdqDiaRGCf@GTa=UUmUB=dwIW\\WIc]fZMWC;tFKWx;NVxVc@Jeyl=MUk`mcExxyQ]YSyAkpiKymQKpyy^pJaywxy:F\\EOm:VsyAZ>Xi@wy:vmBvqYGx]pyKfW:ewFGDTArEwY>UAjA]y]Luq`YrirtyY:dKdqvF<T@xUvY>:xmjukbyumEvQXWxipcLMm<RSxY:@XI@Gx<xkf<UT=ud=lg\\ME<KuEYEdjaLLSHpvySaeU`YwVDx;yY:HkgxOwUyEyY:DNAeS;@RnipCDVYXKryY:`RPxttpNu\\vipoHuNu=JsiNJ`WHXoAdKJ<J:=J?\\mtqvptS==UXikyTyhDLmAMJHoxiTNAumuyIUpPEpGuN]IQvAswhOryp[qrGtNCyY:<Ocqpp<X[TJkIyRlLaDJOiTETpM<RJEkwdj?IVyEKvqPQ]w?pwS`NUuSCTxSHYalRQemOiLBevvXJ@@jZYjJUjKAyhhVoeQPTsbAvnhQJ@SL\\nm\\UC=J_<uV`ok`YkAQxuLXaTQYJc<Wxapw@PxxVNaxcqOodKldwjXkEyvKdW\\MpfLKTaTG`ypYYdqkNMuDtvxYtsPXGyKWeQaxRjys=eOUqSE@tjLtfmWgivCmkRiVQTW:PsXhOdAKvQoa]yetK=xY:<T@xkuEyatYOlUyhwZeMOaxEUOSInKmyrenCmlEtt=AoQLQMHnOLmlLO\\ArBINP`twUv:LktdxIPnwpwCDVGtPNeUt<snXkyOgvppDHcPn\\IO^[QZdvxWOt`@d[A`^hZDNZKWsy>`qaiHPpuIryn[fqfppkiIcnhjhxnU?i=Fch^fKHj[vbGat?XfridIMYPjKxMfUMv?ZhPlyGxOOvppi;BR]Y]wVg[EWQEhUWwKbuCWPICCQhDOxkUI:mEKQW;AEZUxB?BhaiISu[MeQ=BoSIYmSWIGmUUGmBcQuY[CQOyH_fuKtjGVhEeGGIBSIP_bfIxF[BFCElgTOQxI[kaTpqXRITj=ty\\\\yYxXlySxQocXrZyKAXXduPt\\YThqVtlpPOG\\QeanstKreN;YQjDK=@qeMJI@J<DYi\\LcytTplAHNTippHLdTKEDy\\pm<mWaUUayXCDT_mJ;EN`Pn^pOZYUa=q[msUIVipKVAWtyVDhw\\etZQKyYuoljYdwBUjCLuN=PEUxuHLmqlmYJDmQ\\IyHaWMtr^`y=eUuDKvykjmWgpRUqSM@SmXuu`NL<S\\MpEIQPQp;@ssUqsYkcyX?\\UYhKvMKHyQj@nIeynY\\:f\\X?ev>]qPlUg`Hij[iulNuEVaRijOho=YcMvc^FdfVdl^w>w^vgfHx\\<@oAYh?ffAyqjy[BxwoG^oGhdPeC_^EQ]Yasi_nQOqJ?tjH]NO\\<nmKG]l>`^njKo\\pVjLpi[owXHuyAZDvu:yqnAZ=pyxIcyAZ?QdyOrq@xafy:f_yAZiavYLvXS@MqOhypDnqyncMYNytPutlIL^TRFTLB`xbpqJyO>dVIMO]<nF`o_Dlp=jU]sM]pouQF\\xEtsDPwtim_iubIMhYTEIy?IvJhuq<mUuS^Il`pTAuMuPSympqTVsDq_lvXHwYyMAlM@dMnTMxAYyUuitYODUxuKh\\P=aLL`q\\pulQXTmpmqllQvtlL^`JqENKmrwUoFUWSxqeutOxlZYXWLNlmkmMOd]NYxunIwdeNA@mWQlg`Sf@Wdyuk]gQAgy^xdwdkGpwgZjOyQ`YYbxYy=wi]OduEtRUS^IGNoXIIRs;DNoC:MCTMG@_x\\sFrGu_KEwcBg[d:[B<Ex@IDbEgb;v>KEwAgToy=Oh_OF:?d\\qe<gse;GyMGT;OpuOY@o]unNdnAAn_PN:Tl\\MYDpPIHRsQTK=bdOyDNbDPi:xiDfhNFZOfsvx\\j^`Q>\\Aa`H?`CQ^@NdwFrZYtpy_ZxnK?bKVeUGrgc\\wH@=I]_bJ?W[ArCISZWYLsiTadnOv=OD:EXvIGyQvoyruItyHTC<UPxmkUvQltYeYWvukynv=::JNmYKdXsxY:DkyWvXytxUWyKKdQN\\yEyY:tKuyutixNyY:`xC@whLOUALCmQYhIPiIwy:Nt>c_yEx@uy=jQycah^mweInqoyYuIVxY:LyBgnYpyx^gyWwayy:FgCev@WCxthMKTiruQNW<s>hn\\LK:@o\\LK:LSc@w\\<bT?_ZPZLplD@:=RuSd`cS`gcL=GoAIBYvJyvs_TN;T?wWkMuy;bIQYxyVvAGugtaaiuyW`yI:orfED:gtxerchyQUxyTvAAUgxqaeUyYPxep`Mk:hOpUoI;na?YgyeIjOMMbPjq@Ug:\\pwQkM;ltb=nDty\\i@Z]lYIyZyqStyTDP?=jQUyOxov=xYasy;^aQVxyVvP?_ZP[yAZ\\gpyeaQRxy>:::::::ZaXbi_ZlvgDh^PorlV`VPilOgd?_;VaPg^aijnWgeHohNcYYuv`oXGbc?oIqgFxreh\\AWZk?a^VvPypbnn^Xvj`mM_uayi[q[Kyy:vv]qeyAZ;iwYyy:^]]pyJfyYnyxg`YayXfeyAZkQsbAoepxmpwh>cpIaiAy=_xyGyryty?xswhyAZAA_yAZ>XaAwYyV]iuy;r;ivYsiVog@MsXMtWiBCqEAiIy=cpyCysyTyGxsshyI:AI_yejurbyI:Yhkqwy;rZQxiwYHuT=crXMtWWBLgarEgyUxYieyfemwWyq]C:xm]xiXPUwi=Wyy;BxEIWcSNUYCsHY]Fuauq[y[KyyHygioyGrWyuy=pIquTyExqsh<jkQSbAw]LuE=Qlyrkpsy=J<cmsUuYuy;r;iuYsqEuYBpIvmrYA::tsy_j=?cWv^QQ`svY[Vsyxy;BAUw`QsLqt<kBeSGRQtXkuOSETmGHmRlCcaMDC_VLOYLecR[FwEWDmcUeK?ewEmIvZxqkDowm`ePVpf>hcwwvnskhrVFluVpVfZKO_LvcJqdYay`nyLvy:FnApcyAZyPr`Tg;weGEWmtbecmyejYUrybxkBWYyxsIDyI:Cvq?xIcIFMyqiIxcdputZmvWoCI]h`IyI=yG[y]uI=osWuiycZi;ZnXqAN`hahsWno::ry:ZKGgpo[__ubYx@WgVxy:^J:ry;R<yG[yEt=unywu[ib_HusrlmWnGI]iXHyI:M::AgyarYKry;BnAxcyuq=YKEGpms_aubUX@WwVwy>:j]lYMtyBxY:@Dj?iNRIQQXx]dsSlommYM::YFxUDyAsy;rJWRayqyPREXSjTxhtvAMMm`ua]y`::yBvqFxIdyGVAqcyyI:OREWSjSxhufAKUmaua[y`:jY@xU:Jgpo;[Jicm;::XsxmJWZlWsjXHEyemry;BlqWVwIwyexesD?rjwII?exQxyHTLaTX`NkyUAdPGLOEUQgPw@QV\\yTFtRTLSEHPmy\\NohYFx_A\\qylyuKMDOeF^IcW_uy;b><jkuGuWWN>K;tKugX>ZcY\\KEGgWC_FYwkeyioYRNTBxjQysxYDx:fyj[nuDEOyuMpZ:FGktLaEKOticuNMwdiYKUCLQRKEC?;Bg_TN;t<ETC::dKAYPnLwplR^mXoeRJIxL\\rb`vuMm:pLDxxRexiMY@xMvAkI\\YcqyAUoySRyI:;H\\yI:Gx\\;flMsyHpdyUn]ky<YKxmrIdtwpwYZIny>vbxa`VoZKwcuq]gxy:>b=yy:FjKvy:fKAUoy?JK=XSdry\\wtyPwUjIlY>xRx]pwukP;:iR:cvNwykQwY[HFyI:;IKyurIDpeyU:>qFNnYpxwVE=v[yQ;Hly=JGvre<Z??r__\\yAZkPwY=RngYIq<:tl;\\lMwkP;>Rr]]gt:BVmRMMgYIxd:RPwRBchs]h?erhahcaCqowkUE=_uBccmSH?WcXYCQCYv=hcWWq[v`QtVOd_[wIeGyKdXkeAayyTJexY:Hx_pyPExqdyBxty<ykxPyQMqLsbuKgmJiETRyqTmq`xY:DnTxXymjpxY:TfgyeMviJikuwy:VjUvikYnSyctypsyjoxjoyily`b`oYfwY;:VyQ_rYax]neyErGxqsITgyVwYewYRUYRuyQsY]OyDIrxiDk:ZtvoCXqrO]qyYGbGyxrItfyVwYuvYrTYbtyI:CyU]DPybpwGDyI:=g?ayy;JexwkoxiPky>w?_qyAZ;imq@yKawaiyU_y=Qu=QyyHyU^xPwZpyO:PsU]ybqyOExAeyBxpY<ylpPyMmw`my=JexY:<Mu=UyyTyUnxQk:qyO;:yeTkybwI[qtm`kgxq@uKayqdyU`qMPymOyY:@sYQNjxQo\\I:v]TqQ:nhYYVa?VGJnhxPelnDQX=KPDyOMNcTLrDR]DKMLkRYJqxnF@V]Iq;uNryNAmptpVFdXGtTBMmnTjEUKRAwWltkmXs`TlHSsxlbPu:mOlPkk=l;]oedwXqyZyr^LWThs`eJmYyIPPFyV@xY:DM^MrBqr[e\\fA`;yr`XhJAymGvpIm\\@ipgiSfpWVcJGgngrLik_IsFPcP@k?P\\o>[D@jbnfsVuLHcaf`ON^\\ilAI]@Oi\\Pnv_bLioi`HeUmQsx?SAAtKobbQTBmDYegqerjKFoUIOgtKMULkHbuVk]e`MIguiOoxsChhwvZEcZ=XVAE?ard[cOarJKCRsrRWIy]IlkFIEyFSF>YtD]EvwXYqtKOV=IEkibWih>kEVKyG]St]yjCYXSeKiyMgcGuEkKCAsf=AHIHNJ]xuTUYeLdQuOiXT]unlxPmPJdLVUPAykRhV^=j;hq^ll=QX[qxg=vT`SeLmtpuaLnbql<TxRYqj@PplO]PLVel?]umIjMxu=DyNMuwqrY@OSURuQvPuppTPb@y_ukFpox@NqaLGux=UtoTw?XPOiwFAxeDk<HyFtJj]j=\\lZxXeLu`umcqnRUR_uvQtL><KLdPf@U:hQCaNxqn:DPKqwnIYT<UgQu@QV`=PyQxhhJl@q;mrByV<HX?ITjqWkhW\\uSDHwTPWRinaXuglT]YKOTVXPyF<j;DRWLWs]ym\\n:yxqLmOikXXlchu]XOdqLP@tCDrmQLS=O=aM:lYZEr]`MPqo;@VS`XITkcmuYxPkqvv@TRmU?]QmuK\\DQT]pZhyWlX@Uj@auhUVkyJgDj\\qqgXVETSIpmU=yRAwbuwedrXtWolL`MpFxJH\\mhMl_@WlMjpHVr@qfTsYIKpQxceSsyNALu^PqnPJmYsFITKDxFXX^DlntnYDqu\\v<IUVeLqamW<quPyAHJftOv<soEmixOLDqhhOimwfTlaUlw\\R;\\RlLLQQygQUYPOjXtq<LlUXAySrEX[ctoxnmDo?Ti;vnUCM[wpOXESswWEFOGIEESCB=aBDguBMGbSSSOyIcBgqYIgbmmIwkDIiHhmgZ=Y=sXRArp_wdIH=qVVsCeqtwKe:if<sH]gdwYwrQrPYc?MiQyrg[xsswT?xlcClKgbuHmaBM]F^wEwSFfisl]FgerCAVOWcIiBTIDLignSieYEWKi^whtgHsoHeATu[TQ_SGOHFKSOsekEtH[VDsTR[UDesmEfqoRossLIGXWF?mwnYIuYY;QYLKEjqRdCbQ[tqkGA[BaWEQis:wV;=BRaHiIUXyuUQWkYUrktQ_tnGELCY[eC<oD?sH@]FEkhjoC;qCnGrDmgHGFlOvvIhrUr?IdoYR[kXPOE=KWmECkKDuSImOg_MI]sh>eRa]Eg_SU;UX;sMqEvMYGqr@Cxh]iOiWGexpqDcigVUshaSjABL]HjMYsmuUkRTCuC_e^mHs[F:Qg@IVZyXN_XR_XwYS?kiZgyq=uLEY`=wy;rMyDFMx[CxYqWjkCmqd=[xbufb;FfwWA]i_qvekyi]TncClcWp?ynoDLWCcqIQ?UWwvGkhlUSvyGR;uOmuBEcMGBFIhfgBv]raGsEqIriTDGGXOskYTvKbogdywYWOvLMWuUCCMSsqTL_esQd[_t?quU_eMmB`WCVkG:idQsGd;GEIdwkuIII]yuw;xbSIvyumkry;ru=fN]HJkt\\SIvy=rKmHryI:wVFyI:yh:Egb@uE`Wj;rZYe;yCoIxylQ?Ts;EW:Wj]A]\\veI^uOfkNnjI@lZx]oIkRolYFx]y\\Pyewi=YExahyEttYvwAwy;RnMFPxkr;^dpW[S_my`ry@yqipyAZihEyQ^tS?umL>ZAiqihYOQwMNtYodpL>MpIyZomxWtyAZnIle^nsxrTagmWtgyauqcDovxmoyitIvaxy:Fw\\vdCGhyAZYndvviEAtyAZKQhQ_aq``Aw`\\ic\\oxwfin@moVkwnZUVibvo_gqtppM^ox`fIQ[?apKhp;^cuPjIwwMfldIhfqybFeypj[ntiapQXpWYipIc[NlcA\\[Xy:^qpWs]AjH^sVfh>>lGnhtopIhneG[<Nwthhw@wqxilv]svhs_g@G[A^u]W^[xrZFxOwy:FvP>xQQu\\PqtnZTXt<Qjr^neghf>kK>l;^myAZEflyAZnWvJI[:GhPxeOf^Wxwgvu<yhKhucopqydt^liGaE@sHhuZFljh^G`^`G_tFvpw_FYqC?ZiI]Ty_>y]RveeoqXVtMxblhloY[UHpvVcl_\\RNdegvFX_sGiInyFHZaV[lyfGxvaGnS?iMWrpF`Gg]XHja@bM@rpYx>^jIN`a^dQobavw@F\\ZHaCYa@wcNFlrWc<IxVibkw]A`pNQmevmopb\\a[NVmuGakws>Vps@voqfr^vJAraixI^]WgeryZ>QixIjZOngW`Cw`Kf`KQu\\`v:OtCG\\LGqx>dRIcbirpPj^p`n^`yAZP^uGoo=wnWGg<nucv__OtFYwoovKViOFqX`dSAp`?`dHvYoh\\advWjbxtl@tnXywo\\eAcPp`vppwPl\\YckXhAXy=ocFQthAZ?VrQ^g:@Z;QnEYrTi[PPnthkXxkagZ\\ArZFeLxaWXfJg\\Qoa;adaG]]Io`@j\\yc>YqWpaXIxohaTVcmhye@oR?eUR?ohrKdUCXDmR]AbFsifExv=UaWfrAckuhpifYCcoeuAORTieOgtgob;AwXUwpMi^EWqdSbyPsltZML>tNZLjqPOVXLO\\MayY:lYKtYGHyQQLyAvcYuiilPiwxpss<mutlwyRs\\OCyncxsjLNiaKrMYWEKnDOnUsPPtKmt?]PkLVo@XS]KAhUSIQHYXT<rkMXviryXToDUnEOnYKGqxtmrqqkhQV@mp>ML^\\VK=OOuRNMvVEOFDtNpRryY:DVR]qwDXadTuesTtuNAxWisOaxpIxI=OGAVl\\qpDwo`sj`RSILgAJs]OBqXF<JrlOHuJiyP@\\Qs\\Ot]YL=WtYyAqn]]wDATFHr=\\mb`XBuJWHk^Om^oeM>x>QdSIsYvjnitew^qop\\FZuQnGiqDpkS`_EWiXvbnFZDQuvQcuTIMsmAvu=BoSYeWCr?by?slgYdSFFACWEIc;BsyR_MrC]VfOWTyX?wsogyxQVQWbrGimoXneW<ursKD]gRlUrhkC:?BSSEmge]iS>?FN;e]gYEQbKKvPKBwQWKgRf=X?kW>YVqCS=wW?yTJqBYOxHwbTQrYOBxOepMBriGncCp=GhiwTmtbKT?CD^[WO]C^IbD?DBASy]Vt?t:gffki_iy_YU;iW[eY>srw?unQThsFg[TqQxsKFFWxRoxZ]emAuF[e=]Ejqcq;boWGY=TrqYI_duEc[iToGG\\GTcqbTEdY]IBsX[cF^KWh;ELSe>oSoiGvIg[uvuuHwuRHyVN?YvSvBasVwVYmsj]e]GdX=fOSIwqYQWclqRUOcjwhpwx@EVaUEreT\\acsmy];f;=BCaFxax:qbrWRhKWTwyFghyMhrMEuWIGuh<WxuUdnCT^SuimWXYE?GxREeEEIm]dCcbZMBlGifIYvYF]wsodtgpOg`vHLVWLxuUkUpJU]jK@UI]LDulbqUF=rviV:dKctN[PRYHrPpXTYubyo_@X^uOoAKUamfEXS<lm=R\\MptpmXxnPUoRUMUXoeXQEtwI\\Wq\\WXiTuQSN\\O:]k<mMQlx@\\W]EXSDQolp;lm?xTidPwtxLYpSlUEqtjHPOiwvLtFDlgxUV\\s^<J=LORlyMuTFHrH=temp=Qx=xmPEQGPo\\uuFQLdUSwhK]YYs`ySaUWUomlPjDjahMd<JOqUD<J:DJTYJ>Yl;tyZxny=j:aj\\<RnImqUnxhxIyY:LR=yQwQjYtY<PlI<YByvy=JZXty=JZMrL=PWljwAwIeqmyY:@xJxSyAraxi;tKsICasy;BnMsy<yJ\\LRqK=pQnyvXIqy=Jr=saCJBjHTyEkFxY:\\XDxY:\\YBLSftj;uMtYPiauy=Jv]nmxY:<tcxY:<X[@oyG[Fvy:^xDvivA[D__AFbYPimvwVwy:^y^V@<G<yJvy:^JJyc?ABbYXimrwWwYwi>mZb=[jyDv[xmxEjIyY:DJChr:<wmtgeQv]iZQaiXvidi`gwy:Vn?^hy@xJ\\:[:eeIdrkSoeW^EwqMexmd^UeEgy@=hUWE>csxsRFeTI=bkoe`_h^iY^uVKWYaIhwSGP=XREHVowwOnWyJEpu\\UWMUSgljsPNDtNUinXlU<QRhIS`]k^Lj\\mS<]vBls\\IYCPxo<KviR]YjI]yedWfyvYhxpxY:\\ypQPhyqnlwoAqoXqI`jQQTdET]iVMiyU\\sRlc`AvX@iaFl:axAYf;yu[Ygiqbd_qvgsgWb\\qw_`]TYa?InNv\\PXrOo\\eAaOxvjPlPqvRospwoQ@_pfvS@ZkgjTao?AqsPovQfEgi;OfMaiqFodqpFifSxfpp[?iw]Gl\\Gg<@kHauCqvbN\\R^tBxxiWr=^ehamof_pFvh_hyAZ>xtPYp^hwjOl>g_=`^_PcPxZFAvgqfX?a;Aa=^`EAmipwZWtZIqribq__t>gEffUV[gopZAZ:Fb`AviVZ_aakGcZgnWiibqiXy^aWvi@kTvkA`iQwfeg]NxdT>dMq^uHmPYvLVsjnmU>i]AZhh\\q^u[f_VXvv^irHgvXakq\\iadkigIqjaAtGgpGQjs^t`WeoAiZgf_nh[@ugp^l_jWVoOYxGXnyg^wwi\\Y[qyfw@y[GoVWaUgqmH]x^sSIkDYpaN`wQtKGcXNowN_gN^WweBWuwImjyoKWpUy\\L`a]pgBvkkgisXxloi`w^Mxt`vkcXctXyJEXmYayC\\wUE=HcqXKOCtivG_vLMgqMYtSrWKdeGipEQPhURuJmAP]=n=DrwTwf\\yYaq=drTpKUxX_dJuUQSLMEiVrTm><xUxLY`W_qRjYVClx`@r>uJrDjR]kE=MilWoxJNyVrURoio^akhXxtPUQ\\oBHrIYmQevY]R<LX@IWqIkb\\UIUxftYCpo_QlcUKVUqgDPcmsRQlAaSainUpYtYNTtuLuloyxZpXkQqRlqcpUE]Qt]WxMmeXOC]wiXnotLJAt<`T<ivVMTfhWCpxkiV?HVV`Y^UtQUvHmkThThaxe=y[YmqMtCiKxiSmtrN@lFERAYQPaVsaTVHV@UshXtEMwjxUdMSQATruRuMxB<KMxnSIK>MWPIPYtPr@TFuJfYLeqThpooXWIXqI=yYAoCuV?]LLYJp]Wl`r_UVLaQVeWAmV_eM;tNWHWf`muxOwxjqxkS`TbuQMlOoekLQuHyY:XrMHwkTsuii^XgbiveVhpIbnwddokNo__y_KXx?>rZ_rghgaOvYqxpWoVf[Zhsg^mtakTahQNZoi\\T@c`?c_^s_Wh=yqEQj:IjHqt[Vg>nurajViy]pyOnj_pvwaoXygGqpiaa@YflvvGYy_q[LQi]QkEyqMyoiipogthoaONggNhEQ_Va]UQf^IcYnl>wmv`vg_x;ys^VlA_t_iuwSIsGYWxfoDxIh;mVesXpWw[auVYuRKWGuFu[imsdJ?GOMFSoHd;XSQHZ<tL\\K=pLBMUl\\yUuthpWvdpOpn:llcTODuN]ipdAs@=t^HRBQKRttHHJNXXs@rHQT>moSTt^Qx[]KvQmR\\nFtSBHpTEvSpPh]wseqHeTsHQ^]vZaTq=lY]u_\\Nm]y\\XQKfZU?d<YuqI^ROp>hyiA]]wmhXhPylNinWiIRmyc;seQeHc[I`eHyIDcUuxSto]DpqRTAVx_vKsRMcB=?B=qsu]uiqRJWdX=fQUg?Sgi_TxCvB;yUutpggaAYI[IXYhX]IDUYgKUKSgWyE=euTkREYibygvUeQoXG_FTiHUSEpavCKu<SVUqybmCAgDliHy;u;sy^UyUwiyqty;RvoxTIbEQyuVv`qgvabsXcYx\\ra`cLEYwidY@xqkuOFumvyTDXuy=J<irfXWTirxin[YUwpMUYSLpRYUXf`rFQTn<SOdtSLP@Eka\\kQiPyel[IkDtKftwy=jcQKEhwCuYWyjKMkblom=nbPND<jbP>dRN<t;LKkdb:frNFd:oZbNnD@ZbNnD<fab>nnAnFveTviBiqkoynyitI`eNZ=EI?]yAZ]`ngxYorYK@::JOyR[ulMylryLyqmpyqoYwcxiLy^\\xkCxikywewy:netxmxIlwf\\OYc\\G]aVriiqywYsDGyI:uICOTtIuyxrGyKwayy=JgEqePMriyqyoywTysy;RL_bhQTbIS`UEC]EGwGO=YpcDdkCpAIxKvACxHgh>sXnarEuH?OieCSh;r=SytyvxWyAwYHIt`auy;BJQyaqYxYry;BAMg:EX?yTmmwy<ttxvxmy=yiHHd`auyAZJQaaqyxYbyukKc:EX?:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::XmeywQqu[TXhyI:rvWuYKYAauy;rY=sy;rrcV:gs;]e`[SIOsAgsswYZixIiivybym[owy:>B:DTjqn:aXwAo:aXwMOYppaqy;ttyxXlyMxEqAUmm;JZHKjdQyLSjdQyPsAhssxi:;jKqvVyI:>d>>uXvm_@]Yfub`iUymtyZVwy:vuByIEiAUum:BZGCBoUN=Nb`yUyMtujVyiy@lyUvOHIqxa:jEDJpxJ_<mXbG:j]VH:JJaJRqMN<Vt]TxhG:bA::<VtIt;DwJIYqxArYJDaqUy=JB[hVZoF^xakyVwvH]wvy:vt_vhwWw;`qQVh<QfUW]RXul?`g?tpP[jHfAImMIjPwio`iEWwye^[xy;JweKphsoAugAOhXOuyt>qqyDYgxKyym]TyQ;jKpKaUW?ExYQE:rIe?:FaRnop_pQg\\wYo\\yeY_yPxjyu]]XyQgr:Bl?xsQUK]uQohiESw<j^]py\\yxy;:BASfEgEg:r[jx;:K@::v=:JHJT;j=[w=:\\F::rA:ZVZn<ZA<uA:>SFbcaeQoX:bw:rL]V[Uximry;BluWVwat]==rb\\tquxTiwgIppLQL\\pfLSRiNv@JV<PvtmupKOhOL\\QpAtfXok@XfaTj\\N`ur[]MLLqKpUTlT=qsfiVxhny=jAiqidytMwy=JtaRnITkyOxiQgyY:XWQYty_nIgbnOtRqjC?xuywYwYiX=RLNq_qaYfieMwAhyAZcQ>iDPQtVCD@AG?cGO;F`AG?<O;DP@Eob=n>drRhn\\<JM\\\\g^\\:>m\\plT@g;>i]X^PIpnhwpvv>QepipFNmXIoaXecQp;a[CGfdvrv`qcV_mN\\fHcEAjA>Z;NeM>idRBmec]ycMvrWVGScuoI[=DOWBcafATTcMnsUKvPyKyRg@tM]qexNdqPgIxa@yu]Rq@Xe\\WlHRdTr\\pJ:AqDmR@=x;yrrToy@X=xOwmKxHoyGjKyy:Fxt``Enq>autGtAioPoaDvjGA\\yAZ<Yg\\yijFogwmTI\\ao]rPxtYhPQlygZ;QZQvm@qq`Fk;Gri>o>WnmI`KAnWoxgFheybXfpHWv;qxp?xCpovfh\\Ac\\gaXfcDg^MGrw^cr?wCNy=vcMHrjnr:wiT>y[H[ZWnpGnRFswvZtqqx`tbw\\wWkvNiKIleidQHrJW`lx_G`qHGek?qGNbv^kF`kIp_V`aB^n^?iEir>wiQayy_yhgk<vwkxaNndxVq[`urWhuqapyu>QeOAxQHdp`pPX[cQtBGu`>l[V^B>[[?l;wshWgWocNW\\YQmTfZeVkDH`EcBCVkkRc?GZaB??e_<J`@O?eON@jRTnN\\PJMj\\];:::::OTDUrOcxsQUQ_cuEI:US=sg^KWIMROUSyKcPAFn]gkqSNIXgEExyejif@Ww[IgtieIUSvoRMiuTcbvSs?]skor?;DkOSxIE:IUAUDPwGvuUcUvfuhQkytCh_[hCislgSc_bBCIZ_CMkEA[vIobWMf<_dE;uX]TZUYOAIvcdFgR<AyMaRf_T??ft]BA_R:;byYInAFw?SayQ>Dmy=JbQXkySxujAyY:prb=tvMt`@rpUn=PU\\lQ@xUt]MvYty=j;Hty=jkQQHts?DrXtsmpRXunG]WKtPdElG\\StIjumqCax]dUHDWP<xw@?[tG?fBCdEwHG]iJ?G]gvG]IZIRyqYbsu=aBDEUvIg\\KDRKbBwII[rYUYawBtaELyv:oH]YbTCFxeR:IikwdDAiyyvryanwi<Q[y>wkGxYoyAvbyekKInmS`gs;eG@wRoevRYUVEGxyFN[HscxeeC@?ufgghOvPggOeFMYfH_c_;RSId^KrrySFUgQchpKdTUd[IRgtKdMUcNiCHjgqBpLD\\PG`r:;:::BgUBK;Xc?g\\;BswSCyI:IXiYWydHCDw]TvYcyukyrNNT?ghMEUGUlwsAu=vnyUtvdVwn=yWxiVK:piDOweI[h?g?PnDP_:?_\\LNDD:F_`hmG?nFvkFnuUfcugrU?cCyqpxsxIZ=GdvwcLxxT?ykOvGo]@y[nheYGgMXu=A\\TYcuH_:^iVyhiyrgx`M?xSIqNyfxXpPygnGuho`SptbNfO`^dFnOGp\\fma@g:FlQAgbx[@h`Mvy:V`@`nxOqwwnyAZKVeTy[m?_sxbE_]Pwo[@ii@ceWygO\\midLH]ogZcwgnWyrOfTPvJabxQdfn`Iag=^nIq^piZS_l@AelHvLnt[x^>IjmwhpYawIgoyZLaanHqPPv_^pM>kN_f\\FqGHmYHhTI\\W>cIAmBAcWvevQ^tyky?]dweHxmbwIuvA[I]OuQcIHOyYyDfotSyI:;TcQxMmGQ_Hu_uy;b=SIIATTAydUtTqt^Cx?]U=_cs_XDYGaYg^GGPkDC]V`EIUgWC;UPkfamCN[b=iUkoyYCXawtw]DgwfqwyxYTheFs]SM_CIQeBOhiMD\\cG`qXsacv]FkMRrAV?SRYIcy]RUItI_yGOYIyCtyRTyQ\\MqLyY:Lri@oVxv?QYQHQHaPuIry=JlHTEySrTxEIPIAYuaSPePUdKDdYpXmaQqj@Ti<VChjH]tUqjoDk\\LShQkIYQFAjV\\X]<n\\=Pi]OxhNXeUVaqqxPQupkMw<QvYeW;hJfTx^LLsQp@usePJDPkhEUVXw=TXe\\m]=tIlJoXjCExxynYTyALuy=jkyqmMkI=y?eXFXVxULGxSYmlP`mywrbfva`usfnRAvPWt?ApGGoXAuU?ixhuhn^n@gOywOnoaPxgAuOflPId\\>nl?u\\Ot?>sVQl<FjwnlQidSh_\\HcCO`d>_l_s_xpZwfu>bVwvJIZbAZ:qo]oyKfi=?]ym[Eoy=jZqqIyiUVnxI\\GxbxyJaty<jPxMvqwTdkxLVmeyKin\\Yy`QqkXtJTV=XuMyKxaS_HwAuxA<TQuq_IVQXSUYyEdYyItNYnqDmamKCHN<\\NlHNDUpR\\tMXJHYpFDJWQKF\\kDHkl]XBxnr\\PKeR`=WNDd:>?:::::jpDoeyY:Lx:`tyXWDyY:dyPdtpEMvHTIaJJPs[XNODMWXXNIL<tQ\\Hw?MuBEm`PVKyJ@dxpXJ=MUFURRduxXuydyjxKvUwYlrmesphn^LWQMm^QmPUm^ul<TvHMknhLTDS>Lvs\\RhQRs@rltO^<L`\\NnePT<yHMwbLTUtwOPWKDrT`JDppoppJPn;<JqLp_=P:@JX<XcxY:DvQ`ty<wjwiZqqMyy:>kgHqcwx_NcEGn>YscOvUYagIfnhke^dLioh?mEqnU?eXO^Aygrg_fWvCpwp>aGngxXeepZVyqef[>XfpfhA@y=`^tPxcwtxG^BhckW]C^fW@eR^iiimgFt_GZUXsHQ]`VjSVr_OjohhaPrtIkeYvGvcRiy<@tYhYeIbkyR_ty@t[EomyTwQjMyMvQXQdoxXv`ul\\]MQmuiXj[itEdRseykyORIqrlksPr^tPdIMOAVOxXjhO_AQ:EwUxxBhjS=kgauHuqeEXf@WQ<pA]oXMWqlXL@kfhnq\\lc@QYYmBYt_yKjIPDdPa\\kIHMOQsKDuy=J<y_yAZ[LY`ucqxVxY:bIgBoYDyWhHwvYSyAGuYsFW_unWIA_HutMLTuryuE]tn@Sh\\y?IocukbUS=hNfmyvyLLTu;LQ@MvA<l^TX=mrAmLElo]prWYo[TurGh;yfWntixnIg[vPnC_fuxa[O_DpjDA_JHa@QtDPlgQ[?Yc<`sHOweyi[y\\NYarYrMwy:>rEncWya_imb>x@Qnsn]kft;vy:voEvcxy`Ag_xFvGq_@yg=p_v^ht`tm>iAHdRHeBns[`vQ@ZfPt]x^RYuVf\\CxhsFdlqwlQsX@]X^xdawrNskywV?njqrZpZAVkoA`AVZwQZMIjcqyihna^y]N]IhyHN]Ypy:NeyGxNfwI?qshnRyqNnr]yrt_jaHoKawAx]oquqayeNem``gF]nvprpmEWwgPbhIvKo]sgtM>[UPk\\Nn:No;vhvfhfVgHWpMxt<?nTPeHPnDP_DN;?GZOBD??:Hn_\\NnHJB]yEyiXnxyhxeIoyUtaRnIDkyGxiAYWQxY:\\NIernQtRisL\\YvlT]mYOamxUvH=wI`ysenoUmYXyIDyTHYG]Y_YO=YmEIncMlD=P?IlM`SsPR[MN;XXl<vmHJcisyG[]xy:>t=fC;BjQwqwILSWs?buuUA]wy;BhyI:]vbAuy;RVyI:AsQksy;bjKuy;Bw=rnyEvOswyI:_FDyQ<Awy=JnonyAZZidiyYCCO_Y;YxbgwIBGSuYWyICyTIyAkYMyby;fHYeyEbQyQsQnI<YGymx=JtxWxejXyY:LX?aM;XxbiwIhyAaYGTmYXIesvYFyGs]yI:;TAisyDjQyqvElA]y`::lk:IQnqxAqy]my@i;RxIhyarKyQJujGyY:@rexUxAs]lYMxBZ<:WFJmGwgukwyrwiKUv]uAsuryI:M:[x;Uty<FVnxY\\AKJ;ZZ^etYa]wy:FHHl]Tsy=JhyQ^YWayMreCZwLlwa[a`yOy:Fwy@yOViyUlcbV=Bwie_yA@wRyY:XxGuQ]turxi>\\b=;qqCC]ty;R<BnJZ;[vWwc]kxyHy`yuKTn]?ZXhgsQ]s=>NRZZv=;<D:vmZnowg=yqmk@wYssp_YGaQx[:;ZI<:Z;<yQXBGSmvUxiAsQmsy@XTNY:`fyCTyQt;b^Lx?xs]lpy`IHt_yQqy=::jI:jXCslo:Iaii_yAZrlB[kkKx?DFLI:vYC>KA:CsNCy<y>Wab?uyEq\\ve;:u_^uI::Fq<vVZTn@js_YBJJ;:::^=fWuAq:FYZZ<=vOZ`:J;ZH<:pIlA`:<G>RJy[Z<:;;RVV^@wrx]x\\>\\b=vWLlbR<Bn:JBulxp[yEhFLRVV^Y[<]n=JC]<C>KA:>sQnaH\\VmbKVS^YGaJw;RlxA^X:BsZh=^UKxo:ZwLlwA::Dq<xfp<c[hmo::ZY:Zw<m;:g;Pms_YBJJ;ZI<:JH@B:q:FYZZ<=vOJxU<:?:tB:xrPxiaeyGdiB[Bt:Ya^ry`:<G>RjfQraIDsyvYEl]@IQynQ^J>W::M::jM]vEt=VXjyoM:Bb::BJJ;:ZyeabGlIXG:Ri^Vy;oAZC=:@GXHZ>\\b=Z^ZC:JZ[]@LryXHpbyEIf@lI>Bb:jA;:j:suBhFl]XS:::v=:fQLhV[g=::>NRZi<n>:D:nKJy;uAs=M:[@<FbyJJ;ZZ:FHHL]nYnQ^J>W:^>F;>T:B^jy?QrRFHHliJ[Kt;xiLtyLB\\H:Bl:s`K]rlByDbx:FSy=LI:^VJqCTrvxY:H<NR^X:ryLB\\H:Vd^eauWv]CPqdP_F]IRpeeIKDjyI:YvC?GisExOxOQD_Ut=ST\\whokEK?vPIGSmtBKCpyxFSBrwFogDoAIbcwIyYp::::6:\"\{\}-%%ROOTG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"%+gF*-%.BOUNDS_HEIGHTG6#$"%gZF*-%)CHILDRENG6"

Figura 15.4

Solu\303\247\303\243o do Exemplo 15.3 (ii) pelo Calculador de Taxas Relacionadas e Diferencia\303\247\303\243o Impl\303\255cita

<Text-field style="Heading 1" readonly="true" layout="Heading 1">Maple T.A. Maple-Graded Question</Text-field>

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

with(RandomTools): randomize(): R1 := Generate(integer(range=6..20)): H1 := Generate(integer(range=6..20)): h1 := Generate(integer(range=2..15)): while (h1 >= H1) do h1 := Generate(integer(range=2..15)) end do: dV2 := Generate(integer(range=1..20)): ans5 := -dV2*(H1/(R1*h1))^2/Pi;

LCQqJEkjUGlHJSpwcm90ZWN0ZWRHISIiIyEjRCIkVCU=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 1" layout="Heading 1">Quest\303\243o 15.5</Text-field>

Um tanque de \303\241gua possui o formato de um cone reto circular, com o topo virado para baixo. O tanque tem uma altura de `$H1` cm, e o raio (no topo) tem `$R1` cm. Se retiramos \303\241gua do tanque em uma taxa de `$dV2` LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNidGKy1JJW1zdXBHRiQ2JS1GLDYlUSNjbUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjNGJy9GPVEnbm9ybWFsRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRisvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnRkNGK0ZIRkNGK0ZIRkM=, encontre a taxa, em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2NtRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==, na qual o n\303\255vel de \303\241gua est\303\241 mudando quando a \303\241gua possui `$h1` cm de profundidade.

Use Pi para representar LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUScmIzk2MDtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLkYnRjcvJSZmZW5jZUdGNi8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y2LyUqc3ltbWV0cmljR0Y2LyUobGFyZ2VvcEdGNi8lLm1vdmFibGVsaW1pdHNHRjYvJSdhY2NlbnRHRjYvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZOLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJ0Y3RitGUUY3

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=-dV2*(H1/(R1*h1))^2/`π`;

<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field>

evalb(evalf(`$ans5`-`$RESPONSE`=0,6));

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

The volume of a right circular cone with radius r and height h is 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

V, r and h are functions of time.

Use similar triangles to obtain a relationship between the height and radius that is valid for all water heights.

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea4`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>The volume of a right circular cone with radius r and height h is </mtext><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mrow><mi mathbackground='#000000'>V</mi><mo mathbackground='#000000' lspace='0.2777778em' rspace='0.2777778em' background='#000000'>&equals;</mo><mfrac background='#000000'><mrow><mn mathbackground='#000000'>1</mn></mrow><mrow><mn mathbackground='#000000'>3</mn></mrow></mfrac></mrow></mrow></mrow></mstyle><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mrow><mi mathbackground='#000000' mathvariant='normal'>&pi;</mi><mo mathbackground='#000000' lspace='0.0em' rspace='0.0em' background='#000000'>⁢</mo><mrow><msup><mi mathbackground='#000000'>r</mi><mn mathbackground='#000000'>2</mn></msup></mrow><mo mathbackground='#000000' lspace='0.0em' rspace='0.0em' background='#000000'>⁢</mo><mi mathbackground='#000000'>h</mi></mrow></mrow></mrow></mstyle><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea4`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>V, r and h are functions of time.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea4`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>Use similar triangles to obtain a relationship between the height and radius that is valid for all water heights.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

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

Replace this text with feedback.

with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea4`, `value`); ANSWER := -dV2*(H1/(R1*h1))^2/`π`; if evalb(evalf(ans5-eval(parse(StudentResponse))=0,6)) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!&NewLine;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="<NO RESPONSE>"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect. </mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer: </mtext><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>−</mo><mfrac><mrow><mn>25</mn></mrow><mrow><mn>441</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><mi>&\134#x3c0;</mi></mrow></mfrac></mrow></mrow></mstyle></math><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, SubstituteAll("<mrow><mtext>&NewLine;</mtext></mrow>", "`$RESPONSE`", StudentResponse)); feedback:=SubstituteAll(feedback, "`$ANSWER`", "<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>−</mo><mfrac><mrow><mn>25</mn></mrow><mrow><mn>441</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><mi>&\134#x3c0;</mi></mrow></mfrac></mrow></mrow></mstyle></math>"); feedback:=cat(feedback, "</mrow></math>"); fi; with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Feedback", [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): if feedback <> "" then Maplets[Display](maplet); fi;

<Text-field style="Heading 1" readonly="true" layout="Heading 1">Maple T.A. Maple-Graded Question</Text-field>

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

with(RandomTools): randomize(): R2 := Generate(integer(range=6..20)): H2 := Generate(integer(range=6..20)): h2 := Generate(integer(range=2..15)): while (h2 >= H2) do h2 := Generate(integer(range=2..15)) end do: dV3 := Generate(integer(range=1..20)): ans6 := dV3/R2^2/Pi;

LCQqJEkjUGlHJSpwcm90ZWN0ZWRHISIiIyIiIiIjXA==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

<Text-field style="Heading 1" layout="Heading 1">Quest\303\243o 15.6</Text-field>

Um tanque de \303\241gua possui a forma de um cilindro circular reto. O tanque possui `$H2` cm de altura, e o raio \303\251 `$R2` cm. Se retirarmos \303\241gua a uma taxa de `$dV3` LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYnRistSSVtc3VwR0YkNiUtRiw2JVEjY21GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtbkdGJDYkUSIzRicvRkBRJ25vcm1hbEYnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJ0ZGLUYjNiUtRiw2JVEic0YnRjxGP0ZLRkYvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRlgvJSliZXZlbGxlZEdRJmZhbHNlRidGK0ZLRkZGK0ZLRkY=, encontre a taxa, emLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUkmbWZyYWNHRiQ2KC1GIzYlLUYsNiVRI2NtRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy9GPVEnbm9ybWFsRictRiM2JS1GLDYlUSJzRidGOUY8Rj9GQi8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGTi8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj9GQkYrRj9GQg==, na qual o n\303\255vel de \303\241gua est\303\241 aumentando quando a \303\241gua possui `$h2` cm de profundidade.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=dV3/R2^2/`π`;

<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field>

evalb(evalf(`$ans6`-`$RESPONSE`,6)=0);

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

Read the question carefully. Should your answer be negative or positive?

The volume of a right circular cylinder with radius r and height h is 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.

Replace this text with hint 3.

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea5`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>Read the question carefully. Should your answer be negative or positive?</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

with(StringTools): with(DocumentTools): response := GetProperty(`TextArea5`, `value`); if response = `` then response := "</mtext><mtext><NO RESPONSE></mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>The volume of a right circular cylinder with radius r and height h is </mtext><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mrow><mi mathbackground='#000000'>V</mi><mo mathbackground='#000000' lspace='0.2777778em' rspace='0.2777778em' background='#000000'>&equals;</mo><mrow><mi mathbackground='#000000' mathvariant='normal'>&pi;</mi><mo mathbackground='#000000' lspace='0.0em' rspace='0.0em' background='#000000'>⁢</mo><mrow><msup><mi mathbackground='#000000'>r</mi><mn mathbackground='#000000'>2</mn></msup></mrow><mo mathbackground='#000000' lspace='0.0em' rspace='0.0em' background='#000000'>⁢</mo><mi mathbackground='#000000'>h</mi></mrow></mrow></mrow></mrow></mstyle><mtext>.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);

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

Replace this text with feedback.

with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea5`, `value`); ANSWER := dV3/R2^2/`π`; if evalb(evalf(ans6-eval(parse(StudentResponse)),6)=0) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!&NewLine;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="<NO RESPONSE>"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect. </mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer: </mtext><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mfrac><mrow><mn>1</mn></mrow><mrow><mn>49</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><mi>&\134#x3c0;</mi></mrow></mfrac></mrow></mstyle></math><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, SubstituteAll("<mrow><mtext>&NewLine;</mtext></mrow>", "`$RESPONSE`", StudentResponse)); feedback:=SubstituteAll(feedback, "`$ANSWER`", "<math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mfrac><mrow><mn>1</mn></mrow><mrow><mn>49</mn><mo lspace='0.0em' rspace='0.0em'>⁢</mo><mi>&\134#x3c0;</mi></mrow></mfrac></mrow></mstyle></math>"); feedback:=cat(feedback, "</mrow></math>"); fi; with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Feedback", [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): if feedback <> "" then Maplets[Display](maplet); fi;

<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Exemplo 15.4</Text-field>

<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Enunciado do Problema</Text-field>

Uma bola de neve de forma esf\303\251rica derrete em uma raz\303\243o proporcional \303\240 \303\241rea de sua superf\303\255cie.

(i) Mostre que seu raio encolhe a uma raz\303\243o constante.

(ii) Se, durante a primeira hora, metade da bola de neve derreteu, quanto tempo vai levar para se derreter completamente?

<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Solu\303\247\303\243o</Text-field>

<Text-field style="Heading 3" layout="Heading 3">(i)</Text-field>

O volume, V, e a \303\241rea da superf\303\255cie, S, para uma esfera de raio r s\303\243o, respectivamente:

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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUy1GLDYlUSJzRidGNkY5LyUrZXhlY3V0YWJsZUdGREZARitGWUZARitGWUZA

L0kiVkc2IiwkKigjIiIlIiIkIiIiSSNQaUclKnByb3RlY3RlZEdGKilJInJHRiRGKUYqRio=

L0kiU0c2IiwkKigiIiUiIiJJI1BpRyUqcHJvdGVjdGVkR0YoKUkickdGJCIiI0YoRig=

Como o raio muda com o tempo, o volume e a \303\241rea da superf\303\255cie ser\303\243o uma fun\303\247\303\243o do tempo. Portanto estas rela\303\247\303\265es podem ser escritas como:

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

Ly1JIlZHNiI2I0kidEdGJSwkKigjIiIlIiIkIiIiSSNQaUclKnByb3RlY3RlZEdGLSktSSJyR0YlRiZGLEYtRi0=

Ly1JIlNHNiI2I0kidEdGJSwkKigiIiUiIiJJI1BpRyUqcHJvdGVjdGVkR0YrKS1JInJHRiVGJiIiI0YrRis=

A varia\303\247\303\243o do volume \303\251:

Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJWRzYiNiNJInRHRilGKywkKioiIiUiIiJJI1BpR0YlRi8pLUkickdGKUYqIiIjRi8tRiQ2JEYyRitGL0Yv

Note a presen\303\247a da \303\241rea da superf\303\255cie, 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, nesta f\303\263rmula. Isto nos permite reescrever a varia\303\247\303\243o do volume como:

Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJWRzYiNiNJInRHRilGKyomLUkiU0dGKUYqIiIiLUYkNiQtSSJyR0YpRipGK0Yv

Se o volume muda a uma raz\303\243o proporcional a \303\241rea da superf\303\255cie, ent\303\243o 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, para um determinado LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, assim a equa\303\247\303\243o acima fica:

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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjZHJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEjZHRGJ0Y3RjpGPS8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGSS8lKWJldmVsbGVkR1EmZmFsc2VGJ0YrRj0=

da qual segue:

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

Portanto, o raio muda a um taxa constante.

<Text-field style="Heading 3" layout="Heading 3">(ii)</Text-field>

Sabemos que o raio decresce a uma raz\303\243o constante, por\303\251m a uma raz\303\243o ainda desconhecida. Se chamarmos esta raz\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= , ent\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtRiM2Ji1GOzYtUSIoRidGPi9GQUY2RkMvRkZGNkZHRklGS0ZNL0ZQUSwwLjE2NjY2NjdlbUYnL0ZTRmZuLUYjNiQtRiw2JVEidEYnRjRGN0Y+LUY7Ni1RIilGJ0Y+RllGQ0ZaRkdGSUZLRk1GZW4vRlNRLDAuMTExMTExMWVtRidGPkYrRj5GK0Y+, o raio a qualquer tempo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= ser\303\241 o raio inicial LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMEYnL0Y5USdub3JtYWxGJ0ZBLyUvc3Vic2NyaXB0c2hpZnRHRkBGK0ZB menos LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJrRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVExJkludmlzaWJsZVRpbWVzO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUYsNiVRInRGJ0Y0RjdGPkYrRj4=. Assim, o raio varia da forma:

L0kickc2IiwmSSNyMEdGJCIiIiomSSJrR0YkRidJInRHRiRGJyEiIg==

A bola de neve desaparece quando LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=, isto \303\251, no tempo:

L0kidEc2IiomSSNyMEdGJCIiIkkia0dGJCEiIg==

A informa\303\247\303\243o de que metade da bola de neve derrete na primeira hora \303\251 usada para determinar LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEjcjBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjtRJ25vcm1hbEYnLUYjNiQtRiw2JVEia0YnRjdGOkY9LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZJLyUpYmV2ZWxsZWRHUSZmYWxzZUYnRitGPQ== . Primeiro, se metade da bola derrete na primeira hora, ent\303\243o:

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

LywkKigjIiIlIiIkIiIiSSNQaUclKnByb3RlY3RlZEdGKCksJkkjcjBHNiJGKEkia0dGLiEiIkYnRihGKCwkKigjIiIjRidGKEYpRigpRi1GJ0YoRig=

onde o lado esquerdo da equa\303\247\303\243o \303\251 o volume no tempo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMUYnRj5GPkYrRj4= e o lado direito \303\251 a metade do volume inicial. Esta equa\303\247\303\243o pode ser resolvida para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjcjBGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn em termos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, fornecendo as solu\303\247\303\265es:

NiU8Iy9JI3IwRzYiKiYsKCokKSIiIyNGKyIiJCIiIkYuKiQpRisjRi5GLUYuRi5GK0YuRi5JImtHRiZGLjwjL0YlKiYsKiomI0YuRitGLkYqRi4hIiIqJkY4Ri5GMEYuRjlGK0YuKigqJkY4Ri5eI0YuRi5GLilGLUY4Ri4sJkYpRi5GL0Y5Ri5GLkYuRjJGLjwjL0YlKiYsKkY3RjlGOkY5RitGLiooLCRGPEYuRi5GPkYuRj9GLkY5Ri5GMkYu

Somente as solu\303\247\303\265es com valores reais interessam, assim todas as solu\303\247\303\265es contendo I devem ser removidas. A \303\272nica solu\303\247\303\243o real \303\251:

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

PCMvSSNyMEc2IiomLCgqJCkiIiMjIiIjIiIkIiIiIiIiKiQpIiIjIyIiIiIiJCIiIiIiIiIiIyIiIiIiIkkia0c2IiIiIg==

Quando esta \303\251 substitu\303\255da na f\303\263rmula para o tempo em que a bola de neve desaparece, a saber, em 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, n\303\263s encontramos que a bola desaparece quando:

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

L0kidEc2IiwoKiQpIiIjI0YoIiIkIiIiRisqJClGKCNGK0YqRitGK0YoRis=

L0khRzYiJCIrLUBLWlshIio=

Em cerca de 4 horas, 50 minutos, a bola de neve desapareceu completamente.

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

Problemas de taxas relacionadas podem ser dif\303\255ceis mesmo se eles envolvam em geral somente \303\241lgebra, algumas vezes geometria, e as regras de deriva\303\247\303\243o - particularmente a regra da cadeia. A parte mais dif\303\255cil do problema pode ser identificar as quantidades vari\303\241veis e as rela\303\247\303\265es fundamentais entre as vari\303\241veis. Os erros mais comuns s\303\243o:

n\303\243o lembrar que uma quantidade \303\251 na verdade uma fun\303\247\303\243o do tempo,

n\303\243o aplicar a regra da cadeia propriamente, e

substituir os valores num\303\251ricos antes de completar toda a deriva\303\247\303\243o.

Esteja alerta quanto a estas potenciais causas de erros!

Os quatros exemplos neste cap\303\255tulo fornecem uma boa estrutura para resolver problemas de taxas relacionadas com ou sem o maplet RelatedRates.

<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Pr\303\263ximo Cap\303\255tulo</Text-field>

Os cap\303\255tulos 16 a 19 trazem uma completa discuss\303\243o do uso do c\303\241lculo para localizar as caracter\303\255sticas do gr\303\241fico de uma fun\303\247\303\243o. O cap\303\255tulo do Teorema do Valor M\303\251dio \303\251 um resultado \303\263bvio mas \303\251 um importante resultado te\303\263rico que, como o Teorema do Valor Intermedi\303\241rio, \303\251 tamb\303\251m usado em uma variedade de aplica\303\247\303\265es.

yIpyIr<K_Tn^T^;N:L`^C:yIu@K\\PqkhpvF:CZ:N;xYqo[;_fiOf_CS;P:FZyYUCND<KB`KC`kMXkEXLSTlITLStLMTLMTLQtmTPmTP]x^b;Gb;GBLN\\LN\\::::FZOF]S>^V>^`>]Rn^pn^Zn^p^bpV_en`>_b>OboNb>_b>_B:::::ry;pB\\ZKa:AR:?K;@k:HjB@jyMfOL;Hj:@J:B::FZ<^Z?VZ@FZ;FZ;J:B::F:AB;[j:LZ>VZ?nZ=nZ@NZ<V:@J:@K;HjJ@MCLjZ@o<@prDlCLk:AsJAuZEmbENc<yjEPsHlD@Y;EsSLM=HNLDTSEv;QmB@J:DJ;Dj:LJ;Dj;V:<J:FZKNZLF^=F`;Gd\\N`[Gh;PbKPdMFnk`ZyQUSr:=J;@k;@K:x]pIgd?[PPcgplcGba?d@?nm`yniq=WoBGtNI\\b`_iAdY@oDg_[@o]>dSoyuwnainPvqbX^JKwlMtETgeK;Qm<xsmITdil^pp@HNGQm<xSoAKoEk?]Po\\JdUky\\t]\\T_p<aeK=WmIexCFicibdm=MMolKeYQNYNNo`bOwVFtbXhSoq[p]_@_SinfXh@GpGqftajHhvon`cWwVFtfXhSoq_x_LOmU``oqkbots^oIQdIPdT<jYEoAkTPMA]@^dI`dTpnGic]Omonkew_Oi^dYlMofhHpGQ]Ai`QPwLhxCGomxdRovGXfTXsoA_oIcd`wNqtsVnRovlhyDgaDOgf_tP=NdwNdd_gN=bLAEVMTjecGM]MatPffU@oLq]aW\\NpbeOawirpXsPWpIFvCPeAI[Pxfrvj^`tK>oiV_aaeyNxEouLgxqw[vijeoylvmnyjd`tK>OUSy?XvmiyObFOyp=F[CE=WFJYV\\SyMkIsyGwIvdgXHA_jpxWYbFAk>Nw]V`LxwdylwNeSYofXh@kldYLqUcd`OqtsVNDuXIoKQWuhtNIue:OxHcg]UYGUSeSwVG\\^OynPi^`tppprXx@?qmIe=vhDXfqOkdopPytX>gPmIUoAUOGUSeUwVHDNdwJEQWea=fYucLov`e;rect]ttLQuttRnXWIhpMPwLexcEOgeykqVGHx`MPwLUwLUdUUY]usU>tkPyMedCgXHjxDoXBUghom;pUcb`qnttbP=NmUh@:beGWmutRoVGV_OY^Oq^`hsW;ZcFom<VSKTwMTdHOfTx@cleYLoIccXpMGeaeKfFdQL;:LSdaG:cfXC?:LtXs`e;:dC:JDmpdUGNP_L_@oSYOf:\\ntobGiEP=v^dQlQpf`HpGQ=eS_Oy^eYDGTmU<v?ASoEs@eSGW>xUcB_SEog@fYDobHuc\\_Gl_G_t_nNudS?P`N<M_@;C?qtOkdsbl`n@iVMQtTQQ<PWGtTdut[PLMLk_PlI]uOTnfllpEV[`THMkZlvMUPv<qZ`v=QUcDr>\\M<XnIMLf=U\\XMl=Rf@tHIM;EM\\TTnIJ?QKTYl[LsfmJOEkfTTfUt:EKBaLSQrCQK\\evfPjb`kg]kI@k;pu]Lwe=SBYYPiqPYM^tV_XY_`wGTXp^gxWg^XvKv\\fnbMW`JwqTIl_vhpHn?^rZIqppcL_hSQ^Bh]aVbp>_GIZDxchic`nvbpcrWnKObl^bHFsL>dBiaBHjDycGa[Fht;FlBo]bWZDOZ@vcnFaB>c?>b^qvX`nYPjU^\\N_m^`fA`h_OmcFq=_lNXv^Pfk?dDg\\DQgpng]xd<xoN>yXHZN_uiy^y^Z;_jrFvChd?AtB@fRo_RHvxGeVhqPh`kN`_^vmO_@fr:iuMFlDn^?Qu[vjMg`Fisl_lQY]hVt:prA?^o@ceifTAhR>s^yahO[oNbQg]ZVqwQtaYyNHgb@uZYf\\^iLOyqg_T@_GHb<Xxpifmwo]pokFdagcx_dRG_tP\\JX[GvZ_n[M`nOn[L_aL^tm?cZHv<H_Ch^b`lVNZKO[cHmZ>s_Hm;_r\\@mK@b_^_<@aZf`cNg?ab`_mm?boQf_@obH_bnj^OsH_dD?ab>slFdNadDPjdh`NNa?o^OwcLg`NVp<GnCp]B^tLWb\\h^b@xIGdJowF?_CPwGOsI`ZSAboY^Q_`LpfKg[KIo?O[@`^RHl\\AnR`bBWc<PiDXjc`fZHlbNhL`g\\xjb^hm>nZ?\\;V`^nqcOnMnl?Q]Lxsw`@Csb]TlmrbCs:cV@cbR]d_KTZ_hFMTascf[D<_cJWR@;CASVnKWvMt^[EbsRbMxJ=CoGBc?BNsHn=fLkHj?IJwUTmEvEC[?vsmwcSh[mB]gfRQi]]C_CSs]SEiGsaV_YxR;eiGrCYy]ChECW?WHXofUms\\AsB=h=KXlmJIDTb`XltRlQU;LNJEkSDnFho;LsWLLAMy@dVghSLtk^XMT<olqMxLsidSj@JieRbewDitidWSUQQQuOiYePLVenfllwEVbUS_PrvmLTEt[Ls_XL?LnSLtK`r\\xKnlKvITNTyDTlvdmphRH@SCup:ljlMW>mN=Tnb@JJTT;lnPAtJLsFQjgLnfPLK<RCLvfLptpJ]auv@qwIpIeqYmuY]vPYVh=q?`juhxAmxlmSwQLhPLlLrK`rLDrtMycpkPENV=YFtslLPtplOISV=SZ]qkxw\\iPqXlZYpSilHeooer@QsPuSKauDDlBmjVeTN@j^DSN\\RHEOOLNS<NOLr^mK_TSnTpZDkFTLc@j=DSKYlRmJLmVK]WO]rSItLLL:QoBLPILVlURkQO\\ho>avFLxLas_hR<<OfAXGIKpaJx@SZTNLLtRPVS`odlMCAL[gcVQpDHowFnKPr?wbKIePPnO_wQ@cK`dGWpBa_Ia]o`]jivwqqgXZVGZQh`LouWxbBFlVIdZvf]ff>HkaO^rIZCAhdx`hwvwY^[n[H^d=QqrIolNwhhgHqsY@eDQdXftPgd=qgCVhcv]tWtlPqdwlQH_DWurnrRvpy?ZVX_^hyoAmpqvqhaoQrA_dd`hcAbrWniF]HiZfob<Gr@xZBhdqVeW^p\\f^]vmTYfYHrjWuWw^LavJPemF^YHpsOxEA_Wxoiwhror`N_cPnNGe[fa[_tlp[uXvkF`jWvk^e\\ViL>a>^rk_wBWvTPt;xs<dH]V=?FM=XxOGc]UDCyH[h;KCH?i\\AD=_T:cHckCBCEtACE[iMst^Ar?]DH?GnmBB;U<Sd]sR^[V:OR:KdscFVIh^]E@Kg^IEGWXLGsKER@uC;CIb?eKOUoaV?atBKFE;Y[]fguhmmX>_SseH\\ovp]XaAWUucOmH=mF<SU?UE?mVLcftGVh]SJMXAQYi_icMF@UXjur\\CVSMRZKs?MVlgdR?EXMnsDO?LQeULfHtsPPThn_Is>YqJHmBPXDDvKHKXPsJYUcuk_`LO`vDHmt@MZexu]laHqU]RsLpG@UgxSmXm]qyJEKCEujlOoXkE<Wv<rVaqwuQsxiDgbIAkSWsRVxjvvShrEvnWxpay_nAoUpxZYaY`xeXdga_gykuQb[^he^lffjfHfLPwRI_gBcshnkBRkVkCE<CUS?v\\wCDmBx;c=KulCrS_VCIFY[Vl;I>?B\\[ra_M?QncupnLX==o\\lJLaxS<t]LkSTPI]Nqdp<dsfTlrpNDENFHTLlqCAMbTlLpkfATrqNVET=aoGeUXaUVWcGWhxHl^_[rovP>xDanR@q`WdfGoR`mmW[lobp>bUw[pXcIiohvlrHgTf^NpqYqvwYwipfqv\\fqsMfsfNpNvv@^_MP`mQq\\@snGuFNn\\@u\\om_?`WvZZAoFGsF^d:@hP`gKFdC_mcHZ@@_PpcO^dl_b;Gsj>]\\GjDP_xYukPgQqxfhobhfgxeTIpevZfflEnrD^yl`dh`Zb`td>\\SNk:w`BHoFGaF_vCoxb>oH`e<VljNhYPg\\>`@WcDwfL@f]N`baj<_cdafZNn\\^s:`\\B@cHP[\\`_<`\\ShdYie^atB_srQbkx\\nVl=y]wwiWHgioprfZXG`mN^k^sPH[gn_ExbU@qPQh:htgAvwXlkyrnYxAOsywg;gc=ggNWgY^lvgdeW[OPgcAfdpfvphnysl`_PPg?_[PPsfVl`ns<h]NGbJ`dBaf:hDCE\\_DDGUJ_j@Pv^Ds`MO\\LrS`lSLLaQoBLpAQLK<KheNNUX`mKJqRf`LFduFHUgLNs\\Kl<SmtQ?XnM@NHxnVQKI\\MLYnTTL^mS_HNYDWOmrRaMNIuuatBHVk=R<HNyQV:DNYdnMlsXeRZTP_Pm=<klYnwlmk<O_IlbxXjeUelm`PVeHUwYs^\\y^qu_yvhQMApwbpvOiw;lpkYuAMpMMY?tWkuO\\TNgISLYUAIN:MxWdNAQV<mThiNJ`nuuLQhN_aqEMsEmmMmok\\ksuLFIySLsyo[L_mpFxZ?]j?k]YymOcsxuy>\\=`r`?aahp^xum^gwim;`g>Q[e`lshZbXwBXkCY^c^m]@]_oQIR:KVQOu]wVCARxwuTCfMkf:qUowW`?bDev[ac\\IyowrSmhnmikuSo=GEyrqwh?eV>SvrKwxgBQYD[wVpQGogvpmGsidUwfYys_WruSFUGyWeYsAgrcrM[DdwuJSYB?UTgsLKdO=EfqVfwTh_hCOgQStYQI_Uu>UbHWidyI:gimyCcGYeeD<[VL=i^aiw?DW]BEEg>gwTcwMYue[gckDoEHXgVfUY`GhSwEpmwy;RVOwIifrcrMXtSDk=lMeMMJlPI=SPuxjqoA@ju=pTutCLskmnq`WFTvuXxbytdtqr<YkejRMqJXu?qVr`XUqJMivaUsLluKPuk\\shxuFEulhvriLDYNHEUwIVUaoa]kkUynpsxIn@xMBHTetxOqtD\\rBQVcpKMlQ[qxTaXsetbEL]lKCYPGDXMlvkDUyao\\xLquPQarn@mutJq]uHPyiHTkQKAdtydthARehtnhMFV_m?]]qdaqkWGqVYvvf`HPy=`j;xkigZXA`volOWy=_cCGa[GxTgeFVwIXkbFoV`b>gfIXoWGi_Y`PHasijKypJnks`fdxcw_dIOuyesQrHOWwmbuSWFMfTAiwIhtOwnagfSxPErDsbYwYMawmsFHEXgugqahSuhbyUdSCG_y<iSc;hLsHOiyH=sgYwOsb:YFM=F_QfVodlAG<Yw>SSWshwWdq?e@ieuMidoDJ_BA=HQuWYysb?qodMT`Rr<VNtjAyLdUKk<QuUSmimYdWEtRwIBtpj`OLAMLLp_YmrHwmXu=aSHaMuutXUL[Epj`vo\\L?mrRAyNtrvtOfXPmqmdXYsUlvOwUVcnVc;?sryjOybmwawQluOdxpZc@a[QvDHwv^yy^]rVvkqoYYcchgK_rpa_Hhn\\vgIq^TWqcFk:As^ObBiurypafqmwr@QdeIuHAeqNygGhhxol^s>VbOhKOioWISCDI[Sr[BgoS[ogG?WfmI\\QrFQeHQyx?Y<iUm]ckeepwcqMfa]UHQE_sYRoTGuDE]EM]XT=h\\iXAGTbGVZwYcQbHeFXkuFsCCeFpydNUV^oGNHs=YjZinpHUSmw^@LnLv>MPPMW[uLD`RFeTEEy]ekFuTiTQsIpK<Ka`J?tTBEx>]qPUyP]Rj=JjYUHuvdEkmYWAeMhEVQEvNYouiLhaONXVAPvJXl^Iqt<MTTX;YX<LukuR^XJ;ArSUpBYv:DSwhNk@r;]rKEm[lJl\\s]ML<InEpNs=X@mV@qkC=nAMmW<PJmpfAd[OkwSEabCADbCRn]TFsRNov^aUNOS;;vJos^]UD_btCBmGFWcigMU?[rFEc`afGKum<T`\\vmLvJisXUmL<Nu@LVUTZDX=MqpPsXyt\\tRSTSO<ULXkFPrPuuQQoaLVkDuext>\\urdVOtOAUk@pvRLum`yWYWUPOWpm`amclLMmkuPRw\\vRtOxDTMqSKupPpV@Nd_ojBPZ@`gNAk^IlDNo>Fanw`HNcgWj?F\\XFe\\Nns^kJau<>i:FrGFkvGtKwfhycsP^of\\bnjvi\\OgubPejHs_gwkY_LG]fNsVPpOg_PosDgo[`tR_dRhrBwJ?sReBDIVkED_ysDMsF=CiOCQ]RCgBUar:EbCMt`oH]?wmoFYcD^KhBABbMG;mVn]rDYrdqdd=HPOxB?iO]YRMfQWttsSpOxSMVCgetQv`giVSia[bQiVbaXs[HUmCmsi;QRmYsSEdYUTFIVtKv<IGU]iQSYWIhGEYV_Uh;vc;sseb>sge_GZsB>]eNGE<YX?mTKmFBqR?SCn?dbUb\\YRCsc^]RWCt@OV@ch]MsfOc]EeG?iawFTkcb;gm?fhCe>EeN[fSUhCeeFAf[Orbmvj;r^OUWucDmSe?CCgW<aSRCXdaw;MT\\;uHeX>Si<?cEYRmSDguEd]Sr[YO[tWxST\\rrama=RcpqMLuL=k]mjdEov=TYHNShSmXJU]N>qJ=Gh?OaE`]O^ihxaHaop_vxVg@@vnfxx?nxAtvhykIxqpgc`vpfkvXvHickidhq]Cv`PvkwPeYpkLngZ^cuw\\JVbQn[HV_HXdlqrwg]]_r<qtTiqkF\\DVesIw:@oa__OIdPqpopjf@cSql<x\\wNdSxta_uPWymNv[PakyoNxy:>[T_[@@kxYfa@unhoJXuNW_\\qsxomoim`Oyw`o>@bOYgrf]cyd`AeoWuqa]USy[GQYIQQUqaH@SwgyvM[R]wf<qh]wdncwC;ypyU__dvUdg@X;qUdmMD@KfYkMITG\\Svxity^]a_W?m`vsd_xNnd^odXVtno`yAZax`?Ig=ooQAdpgthBRirbScFmw_srH]E]?U?oGqEtV[brWXYQWcwU=yVxgTQiWPqwgsTf_sDYtWCeDAglyU>AR;WevIxAYEEeTRgvQUYryVfYrRUwDgiZ?YA]Tt=gsQITGBQ_wxQtnIfocrW_Xnid^_C;SSbCubSfJcht[TCSw]SRCsXdUugwdMSB<EYCyX@ufIwbQsdbASHyI:EwoAw_yfI=tPMyViV`?CXEvnqI]yCMuslgwliEQAYHKH<iWCSvgYw_GFvyqHmvjYQ`tYLuOsMUu@QntjdISV]SUExk\\rLpppIV>PRIyvYHvQyY:xMeyQqpOfPUjTQQik?lUO]jxuNCdxg]ra@VCLXChXIUwYEm>YNQHlXePvlrPdVKDQIevdTtYEM]uxgPy[]nBhJ=TK_aSo]K^HQg<ooYj@doxdvmMR`qxAaRWhyklktdVko_kp^:h]_hhbih@A`mnlDwkPwuQWq]NsF>ZqaleQqjWuvNhY>hfQ___][_kjIfvvvX`aPXydX]^hbkOZw>qO@cUGf[AxMOnbitaFfZ>iO^io?aIVs?FqFPvew[H>iIae?yvuW_Wia;Ao@WrZqk=ojevqA?]Box]HoiGwVydRfdRpr?o_Y`hc^nDifVHoO`s]W\\`ytTFkHYf?A_FOwrpmOYnsXoOOb=?a]_w\\YpdGxTwp:WrO^m`Xpyxfh_qpWwPiiOOqcN\\VHoK@fTQnmxfgVe<XiNowCPn`?^qp__qrv`gUOs\\F`EA_xqsr^cHAi]yloAgoY[o>isG`qijYpdTyhAN[xQym@^fnkZG`OopUIsgws>pjsFk_fgFpbm^si>]aW`V`eCwihGpYVufxZJvoyohyVrhYcuIOChPSCXEfm[elssypXcIM[UPKamximbAO<=JCIuKTTKiQ?XxI\\KtXuEEVOmr^@YB\\oNlrspJuxN]]odpJeplIMujxxfhkZdThUKa=SR\\mDmTYEWFAQ<EjTDpC<qRdJMLnUQLRHjkXRkpRK@jJLWYUWkIOAdW[tN:lKdHNBAQh]R^UpX\\XFulvuR^vZIHrIobwG\\BXvHP_:W`VPs^nwN^jROvFXnFHpF?`?Q`Voh`b;OeBSSL_D:CrvMhGARGgFbkF_qI^yfXUfBWH]cf^=SJsRn_V^GdaOE<]SD;I?KvC;r^<t`LVLyN:LT\\MsfAn@`LAAN^DX:AThDtaerqDRp\\SHPOo@kRLW>XX;=VHMQ^LVrmlXIKPpOxMMhhQfttxIo`AMHAQqPKfdPFmss`rt`XqiPKlLAEOApmOivQPNcmxsUQW]QZ]SyeJuYVEPqaMM\\TMndL]PlbmWViMKHJLHnN=J;=t>mKchjJqJGAr]uJ?ltB<VjEt:\\m<Iw_lKdhOhMKo@KZEP>QV_USHUJLmjdXKU\\YEhJa`KPpWRmPeMSSDOdtV_PuJaoVtlCxJ;iR?DYApK:Tkt<\\=VqbhnVImH>mGG\\MNjS>cAhrSbBsHN_SMaVS]b?MD_mXC]tNuuIWS\\QXfuwtQxeAdoEgc;vIcdZaylexnyr@muxsshUuDaiUCVHKxEAUT;EiywKGVesxHsByircHPWaQ=eYxenWAq^LsgUj^XS=<SV<tNEmF@KD`S^LRUdJ>EMl<Qc@JKPkB@J@dxl<LRLOLiO;=NS\\S>INWdt;=lDUM^NoLg[?q^MG^kAc@HrKfsCXbpN_fOwa^]PImmOt_Q\\PPl;ahPH[RFjC`dmG`?Qs@Oc^OwkaZU@bgad?GmDAk?>rBI_K`o<HknVbFflcWZI@fsanRIa:QhLG\\pw^N^]k^sdHnUX\\Yh^HAwUV^@XfJNqBpqcnm?ImB@mcPgr>d>@sIv]a?v[H]<NykWZA@]pI\\oiei@oQYvB@r`i\\UO_GpybVlSvkFY`pyoNVvixrivou`qGWxI`l_`g@_auGpDoZcim<wZIo_evjWxqaTBKesauNwYrcHcoBF]rwQS>IFuswiQdPcExIIrsRsofeUu?uSVwr>=vC_VrMyekgtsXPSI@eFoWHFwROASqeIPQg`ExnKekmcvGvqYUOir=CSAsDQww<atdMTdgIZAWfoXXwUDuUkidtqtXISI;d^YRsCYiuWOYVp?YuMfmQS?ubechu_cOIXLGyOwU`CtduuLIthEcSWePKF\\KvNAWROr\\]iKYISYcUsUosxh[hmctTOh]YxRCiReDmcHlsE>SHbEIHMV=EsSmxnACE=dPoUQIb^USFyUg_BVQSeqt=Uck;UegCR[v\\?Go_skUTTOePeSjAfVaDHGGmmb<GgUIYRIILKHROimyXUCyKOTgPV;tlc`vbtKDxTfUnaUk\\POyMwvpTCmkJAsF]RkxY:dPXPWoUQ[=KbQOUInJ<k^IUMEJhlkExmpQpsio@PVMPotxRmxMuIu`YQ=AVJ=prdoLdJGYvSEMIusoTsLqQRIo`mZLqleAghv[>q_N^xwQ\\Lf^d?[sXbH>aOPd[`s=AefadhHwkIlrgl]Hk:Wk`Gkj>sxqtsGoAgnRxl_Vgy^_JV^IiZS>om?k\\N^enkeagh>]`i\\\\HibFw_Nd[wmq@uT`vhqoBFhrfZMIZPH_cWv_FfVfujxkOf_\\V^?ImIWqXam\\weOFe]^_Aa^@?]snxa>\\@FecX`]irNH\\A>^L>tC_amhhwN^f^m;`_]X`Bvl;>q`pZZHwJHZ`adA@kp?_GQ^:a[JVZ\\ad=@hFgZDfbrq^<nlPXbtVsNGe^NsfOZ>O^]@jCU?gsJoClOFG]iDkDVMTaCbLcsvadS=d=;wZ[I<EeGCU`cX>scZcSdagW=Ga?wbsH`MBZkF<KGeWxdGBFiFXotb]WNOY^oUZCyOStCEY<iV\\AUEWvZIe]eea;sLsXfehyYVIqCdgIiwu<]HawdFEI[gHNmHf?ebQXi=i\\?IqiX]MyKccFifRSdZSRQ?VSKD[acB;gRYdXwSn?V^QH;CVQeR>iBJAXC=Sl;rRsHdagJ]h[OL?N`L_dDYvkNkfydcfZO>sFPd;^cHH_l>j^?jL?[^_bJOsFokbN^<G]C?lBXk[^lS`[=X\\hplGXfnhl@pptyy:nyyVxwo\\\\nxogy[gvfYyoNiBfiCaa\\piE@tSQk;yYYwy;riYCsoY[yGIih=yxfYwQeHlCF\\aDLIFQoFcqD;qf\\qFBSV?sRp_C?mHCMc?Mt`ecGAdD?Sl_c`SDdQfF=TM_fDOGCCcJqvBOtBqVCIg`KiJST\\WTY=VBgRAQG[Eyh_uTWgCWBj_rkuWPSFC?C;QXl]gUtOFHQN@m]=uNDs[MJ<yoDLnAHRg=TJlNHMXWumKdSlDPZxV?etmyMAHjL@kgTuLMW:@MXDkRLLWeTmu^q?>QR_;sj=ruKtKeROsBoCHJYiKmdCABdKW^MgOqwRmrrsRCUXQSI<]RWmfO=dpyH==bYcY[qtZ;XEWGkKrvsDwIXpUWcYfAyVUIfk[EsebpgCNIWBOvhoV@eF\\KvLcW@_wLKTHMgfKBV=XT[rB;Vl[C?mV@?GbCHbWV:SdwCs:?iZSc[eeBaT:cF>Se>]brcDjcE>OFsMH^khESfloSQeR>wBDIeNkccABB=FAmSD_cRMcwKG\\GclKTSCTPEt_CT`eRm_VSgsLOdn;GqaXS[C>;hSKwZ_R]Uc]OUSUSEovBmvEgfLoDV_EcKDrgf^eT>wEL]x[ECIGV<]SC[Bf;IZsrv_dn?BUYDR]D>;uFCxbMTHCyc;VLLoshVLLr^hLQ=sShnRqlL<J:HVT\\S^EunYtIaU^@xEMKTIN^PjsMpx`wN]RVlP;ISUdNgHOFIr]LV@=vB`vtHJGIN@DkbAJB`JmisEDoBlPdiUDDUHMvgDJImLLIl`mMDalBtKnlX`XjaPL?HnaLmwMSTIYhtXS=o@lO`LTsxkAEp><mFLtrdNGmP<ymPAlNHs[ALfYTEAj^\\j\\PLUXNsDRW`QLMTaeSO<jsxNRaL:\\YDYQN@lL=SaUtKPvFLP;Ml:dsFLW@qOYLXd<nddMBeqLlxYPKtDPOQY=LysUYxTwRuskTyCEXi`qf\\w_tNmIUxANepOUysqYWxAwvyTh\\yEuSXpul@Xe\\kOYq<qOvtO\\]K<`s``UJ=T=ANK@M?DNNTQN\\tSiQc]MWASZUyLPvDpKNDo^AMCEt\\ALitR_PsJPSfMX;iNHYs\\DJJUX[\\JcHNJhRJ`TS<k\\lJGeP>DuCLPSLj^EmCAlDUnEpY:ApftyqDT[uo?yt\\eX<au_TxEpSituYmTXpuIUpYqYxxY:lX^Hq:ay<]xLessqMApNWIJF=SitsZ@qpiYWPyxmObeV^Pp^AW;TkYXoiaO`PvTpKV`mO`pDujJIW]pxLIKMIp=<Xe<YNysCaK\\XWAhoxtSkUjCHytMvR=SpmxY<xLMwutYB]JZmmlYSj`OKpvamNIasltSHEx]DpEQoCux<XrpMsj@LheuoaqslvVpxbXVCpu@tRs]w?YlrlRAElYhRQhOq@tpXmvhKPAqcitEEXEHx>qr[<k[PRmeYZQWWIWHLP\\XnTmnm`PeeO_Qm?QRYytVYuq\\M?MXk\\JQhMEuRdasc`J^Dsl@KKxNo`voAvM]oV`xOhomxiXvo^ykCIctQfkpxPxaKguWqcZQrMN^rFfAh\\]`t_P_bN`h`bJ>ufpkixy:>_qibegxI@ylywYf`c@krY`MvxkGwuGkUadfQq^Gwv>i@fd[IqVihE^[bnaVoZ^nxp?ofQf_GpvxbqNyc^hcvkdYbCPtO?mBXuiNf`fx?PqpvhOAfNhomvj`iZyAZtwjKwut?f[^[`oiE>c?xvtVm=yhdHerwckXfY^llIqvWf?HtkhuHQ^m?q@ybWV_HxuwgfPGyu^mkggVwkZqpCQ\\tnjA?\\QgmdYnXgv]xxnvboXgSVuCxfbvtRhhdYeE@gu`c^>bZGeVWni?qFHjtHrb>m^IajAvbhhkpnjy[by]OGonPuHynma_m^Z?wm<Xp@A`AOuSWqgiuXxhMXZZPZ=vxe`pgo_dpiefh;qkZXnxHwxPnT?vT_iYO^mPwVyel@pOWfcYvM^xQ_svWd>QxUi[L`sdyhSGdC`jBxhTOqUNZlPiIavyAZqFtaw]gvv\\ie_?ofgrtpklh`tvolxuDOdliwhvy:Fggqdax]wAZyWjdAoYWpdW_x`]]Wvvqd\\ynIYqm^iFWihngFHvoGhF`k>WsYNiH`xhW_L^pF?[<FtAp\\OWoVYmfAnEowF@janm[>go?d?N`hWf`ynC@kYG`lFoopkeYh=^ff?fEF`Iav_`tiQpE@Zh`b>gjYYn;`vCwy:veKadeyahybsqic`]_IcyVcWOuMAqL^jfApDO\\Hfu]q[DvnJ_uUictHf\\VZ<vofqhMAoCns=A_DI\\bomEv_fxiypyJonv^vs`e\\oug?^F>xR^o]?qrpwvimaockx]\\_ukVsrx_xvixyjyEfSSrQixQeIQcwuGoieqsVxeu]]BxKsk=UhcFKSGhGxKdLIyY:@vXUlvdp>UYjTuUXYadslMpFXvTlQ]PMousmhLtIQTunXauv\\qkmKl`m<isSusoUQlHLqpsJ@yy=j<DqOQXVewfLPfUKBIvVYPtqXXyxSPKfiPJHj=QKkdLMDWmXXG`PqQnDqpt`kT@s;@OHPWaxsYMslQXhoyMYuCyedI^pXxhy]?WlsHubOnw`rlF`TVysIoG`cmOws`eIo]JhqthlK`uO?[Bqrm^_AgpAOiq>`Qah`W^:>hIx]LhoP?whqgUQwuYn`v^XX_EGo@XuIIumycM^kQFhNXppynqOqFhnEV]Cofy>v_tuawU;U]aUEEwowd\\wrdyC`sU_WufwIuyu_OiOyWiIcHUEYYWUKGqMbKgEpEs:ibU]y[ErMiuh_wOmE>gF\\ww_siL[XpUycKToqC=Cxbgr;?vesWtwFYUV_[FCau;?Sfar@_EoCxtAhgyXTHmvhWQmJrpXe`KkpxuYmppLDdWwmo;HkZayPpXWLO_UlLlTMTLVTpthNP=TZXWKpkhQoHiWOit<Uvq`Ky]WQqYn<m=aqcxtnpLieWFexB<RA\\QHeVhMokHKQHqsLS\\em_=qwyoYpXL<qmEsLAUieWq<KUMn>ApAum?xTdLSOprw\\PY@r>UxiIUOim_Ixptwp@QRhVY@PhDPMlmvDM_EPx\\yptX@ATdPXCLv=PqDQnGitkaM]yQjDqAxK;IWh]vgPuDItN@NeqKUfep?guqcKxaD@mAW\\iYgVXxXrnMyhMguStbsCMAdhYiiaWlCglESc;F=AgnEfRiFekemaRymgDuiK=ys?Th?rRyB?;fNYgCWwRQR`EiAyvh_wlsudCuL?vmSXEUdIEXZwErou]wCfAe]GwD]h;kFo_SB?xSermmwoeFqqUDYycOct_SZ?SJ]OUAwhupJaL]=VTTsryQ;qUd=rG`qUXp`EonQohxMDLldar@@OmmtxpPShY\\EqUuuIAscLVT=U:TYOis@PWEeooLUCIx=TXDdy@AuEDVCTjb@rd=lDhlUIJdaQrUJYpL`tqO@OHHMEQoDyW=QWrUS;ilwuvhhrULquhKbLjPMJIAky=j<tTt@rOArAlXf<U@eUAQxYyL_AlmxkaUrWyMIPpyXpGpJ=hVllnLUYuuJotRcqWauXylOpDpayRvqlWUj=<r:<RihqMIwOltcaJFqKLdX?XvRDMaYOGHVjDV_UymmvC]W<hrAER`iwfdUhaJ>xnpeKFAYvqlwhPRhWBinBEjmasl@rUEU_IxStO\\@jK\\W_HP`anIIk@tkHeUEEX]Nf=YdehyDynBgkxGdjv]NQs^_ywNkuAZmxlPHpkYsUviwglSonL>^j^_nX^rxZho_xy\\wFvMopIhdrPqvVfFVajidbNqM?ogqbm_lUOwoxdK>y\\ov`vijYpMyppvergjL`^nVkgVc^V_;pl:OZPgbK^\\i_r@Nb@O_aqdmhbX?eHyfZa<YCDYWOGxTmriET=wgx]HSsUlab:]eYEtTWiToGKGT\\KrGuhB]wGgfjuh@?sRGgBwbEExhcGgyDMSCHgvRwx>wsDOCMmEiUu]etpqfe_YKkVhWbVAHpcGEUFoUucMSmSY;Cx[EsJEuy\\myLMYite\\tApywhMYatE]s;ykCllpAthuX\\mrPppPXYuhYETRpevPauCMU\\UnXhtSTtpmTV]neAP=IsElKeyReDlW`q:LV:asx\\tAqTOMy`Mxp=uempHIv\\iYDdQEEY_mTBdT`HvIdpj]UPmxqLrkIS]xO?uRkuklDohykaIPATXeDTuMYEuPopughoupSb@SLHSB`nOxMNuXPet`QM^TrATleTqCpQTaJ^EjA<UPetu=OM`xf`K^\\WTLVAIJuQP@IpFmyTHM\\MMUYM_eytlKmlkIDtKiUEiXoDlm<PMloKHVjYs]hu`TrKMs=MVQpWl<m=aQehTWLYDiU]qWUPQqqPsqxHyrfLv]yr^UOhuPQtrmevCDLW<ruEUc]wyoriXqdqdHWwxygsInnacsOsy_ZkA\\JQwuvsE?vA`uloi;Vh@Xsm_f>_wrpR]R?itdkGq_fV;ugsTMCg=IB>awIsbRAUosEmyxbeFFcFBASReXFmVPuvKeUSgUtOGK[c@mvT_fBMBH;Bf=chCFiAIHKx`[E;[Uy[wNKRhsfdixEcRokHQiE?MFLsWZaXCEeZGHtgXt_WOyBmsrWEfgQXHEHSkWm=hSGfsyfVoeOqRKuNo]opXXpayOet=YOrAWiENeyMnpYMuoLXxeqQBiqoyk\\QkZmon=odeuQ=uYauwDmryLT`q=adOFrqWq_vrIg`ZYi_nZGGmBWf<`bN^dSG^;xrDPmBH]lGdJogvVtfWd;>xSnnlgdJ?]ZfZj>]ZojNwhc`eHPc_HbO@q^Akdg^C_bZPkMNb>^jJIjlV\\<_ZMH_^FjlF]pNbFnwkpew`oyAZ?`nvPnqy\\Ng_hhdYD<wDA?v<sbjcIwYx>YrGSuV_rgaxSEiuQw_]yGyW;SISiB[SF]KB^Sx?wdt_c?CDMCEJwSwwFtGYCWWd?IRmfC_DSiv;?USATWgGqqFIUXg?FHAU@CEg_bOGc^?EpIWcWyGad>uHmMEA?seYeWebu;GBseCySTsR?GxJUsUySruvRsYfQUpYewAylOGlKIrsYI=IPmHw]GKsytEgsqta;ePMdFWtVGSftdjXqq?aT`xnxbMfs<gqi@dFXfX?qBpZRnfAFqfG^Wovch`EppQOdcyfmw_lNn>FmBxlOnsHymvPqgp\\SQ\\GqnvVyEi_NHm]FayAZ@FpyVsynnf_wTQbJgpkp_RNqixhB_lanvgyfZpvAAwPOr?@pNXj<OeEovHYmGwutXwOneFiky`oWakh>jVVehy]?vhs?pihhKN\\TGduif?ih]Pgd_mhamopcfW[@^[QnhPOhaQvKxkVFpeIuiIoXfepwbIwZ[AxWoxw_`gwvaYegnhvwZiQe?n^^Ou^otSf]=wnWWqq`enFwZG`e^nbvuS^bS?abaZx^mRYiPVmkWb`VtNOmAqloWyg?sjpsE@ZANxCIhA`clXs?VqsPjYqlvVebipUPklfc_hh>`^Yf\\W`tpndh_kvop;yuKovn`x[Hm\\VgRHeEPkJolPyuD?_=YecwsFvtWgq`Nq]geF`c=o\\>Y_tfiBAfP`blvjDGtnggfHjK>^FwcKIeYIdeVwontHqc^OpppsGh_TXqIWlRGxhynMqxphge`lf^gEojh>qioxPnw``[n>pGFkTGiahnMHguh`DxtKYmGnpuYr=>aBpZR^]RWiNv`wq`gis@AhMin:p[POpZo^mY\\`Glk^cdAoYI]>Yer>wAfrap`qq_AnnXyhx>iLQuoq`hp]_QpBifqVlBGdYaxrqwkiZ`P`yNkahappyOGi>nbKGsVQaTafq^`FpnCnr_VmqHuUodPahPxta^gsOoupiW`qUQ\\e_l=>vkwi\\XuagcSx`YPxc_]xG]MQuhy^qdW]rDGSX;y;mGPqhn=EMOUfsV=IC\\gT@aXSgCPGX`]StwSO]igMW=?cJGtCIfViWi?wWehD;imme_gT`EbGmF`yfR]C\\MF\\eyScYuuv`kdmgsGKfZcS_IHdcutigOMrJQD:kX_SWlasdcgqwhc]fPoyF=egyx>kbm]E>Sr<GujkXcgup_uCMSN;unAcwQhZ]HSiCGqHwQUxgVQucF_EgydhkV^kRtYvS]HTyV>eeB[rlasFwcO]C\\[imOyHqsGoTKUUrieVOPcasclnohSotRFXKkmtnUN?pX]UtRiQN@oTMUqtRkUVmDLVLxLMWUIwh=N]pJNYkvPktpS@hs`xwRmtdhqSelfyw@LUUEYcanwmQhpY?iMY`SWHTltlcUTjxj>lQEeTThTXyY:LSc]MxEMuho?TYEak;Hk;@r]Uy\\YQgqppdtoylTus[Dv]QlxDsm`N_MP@ElYTryDOgynuXt[lmi`KEpOuLsfQO[hufHX:EPviLw<o^YUDdu\\mxMqUKYOdh`s^gNQaxOtGao_F]p`^JfrX?Z[fmpNvGHiUitAwfpppe`gxpts_v?IuA?oga_WIwJysQnr??gq^`qW_nhu`HpTWp_^pVQy[wbA@d;ixxwelgvq@uio`IivDWZP?ixivixnDhgCie_``IPsO`\\hW^dxdBQ\\GA[=XjuilWvqGSuEiemGJMt`yCqgGjcEFaTTIC<yVrGt@uUjWwmocJaD^aH>Wr<WvkGWpMD`qWLSvrIg:eW@MBgovjIsTaxeqxPOgCGs;?RssVEGt:EcCcEFOBMyh^]seOrHUTgewpEufGuaAc]OUGcUrWtsWH;MEkKfweFb;VHQGgovjGcqyFYigIsEGgWb;C=mwD_cpmXIshUaVX[ElOukygqWwwGcBqfLQe<qhxIWhKwogBC[fmidAuFgqgTEs<cC`svJQd\\[hSADEUikww\\sDuIhpcytOIqQbmgfVqtOycRyGiGgOehD;ipEWmmtJQSHSTmGWf]jhtu[iQUAQh<tTXp?QXpqoUikHpVdUVC@MDQyF\\nCYRj\\kPTNlDmqXmnlTvHoimxxmO:<V`LPyhRIYxk`mp@tUqTImLlySw<w^mLdmRMyM;EpFPupylQipP\\uc]TCYveHJGaUTetgdqkTO\\Tp]eRp]VllSP]RMmMwQQy=tiUoBEXduki`uudxWhmudO\\LM=EQilOeeR``XXAYYlvouKHTmTeNGIPhhWd<QZmtweupTYitPAUSduJSPXpiO@`vS`tFlN`dvditqTMBqW=TS<PPQdnHioPpxKpNeLn]YuuQRPmv<IlN\\rQEnKiVWhohNok_l>ynvV`[G\\AqjdouLIqK_cd>s>QfAQkhAsaOdlGmDPg\\>mAqnXy`@NynykP>nFvqlwthGgl`gdivNxsLP^KHsF^n=QkBfh@HlSgahgcBvbSx^VqpSGihip`Wo>xiFoiewnVoeFwf@a_?YoJYgOAqlfykvaO^lwx\\wqigh`HWtsYkINfnqxGWfhfakGi=Od?IsQHe`An<Gxw>g:PjNFmLQ_B>lranknwMogC>ZbAom^jp>acxp>FmCidK?_;FcVHnKheeO[NQhOWwPoZDOpc_\\LIbNn^>H[nF^:^j[NZ<?g:?lT@c?^vtfpXnb`Yb>`q]Wuuytj@ewxigoob`umFj]_uyOicytovlgYslx_YVtGyoWOthVxpGpay];nxxgv^qdaiytgymfmaVxGVbvp_wIproyVPi`Qpwiq<Nc?g^]QiCH[[@dLDC]V<[Vl=G^ED^Mhfmb:?DTcTKERL]tqOi;Mwk]SIwRlwew=DVGvJ_CmiGVWefac[]dgcdASiI=gKQfMIYXkuYCRZCwYcfYWCdcH@CgmaGTsgmoFtyVq[efubpGtYOYOiw@MVpggbawwmTE_duIvuCTUsFF=DsMW@QDoeTROHV]yWAHyiTIwGruXWiUsQBRGuX=yxmf;=FAObXkrHScaeFSWgFcwyLXDYtqiVjqtBPng\\vCUMWyODam[YU:]jP@RNEl[`nkHRPaSqmL=Yws<TBGf>xcZffuAtlyn[GoEQrKG`l?yLFZsQno@caIr<n_VNfPvcO_liau=og^ydZPc:o\\NIcf_dqYhdhoZalhI\\lar>WgkIfIa_k^dc_[l_b]xnhIr`gk[a`hyvF?pH@`Q@ivydbNgaxnFQjVOcln[Y?k;Gp^XpFhlEwoJpusW^gA`F@jV^udhm<odEghWGhKPZJN\\:n\\kY\\YHrn_uQY_tojRxv_irrqi^P]>?gGAc>glLx^GWiEorTqf<_[Yo\\A>pVPxZYnNagWhpgAv^qb\\OdJhZWHmNP]hirlH_Rppaf^IGdoah>IxbXlXi\\Wnp\\Qk_`ffaqFGueXdCVir>h;Wp[GtKn^_>sHHZwiqCYZb@aRopWaftai_No<Odlp_VWjLXtcaxsih@aaKndRWppH[>WgI^]Pp_\\Q\\Xywf^kCYt=Nnk^i:^gwOwwob>VeHou^>k<O]Rp\\?AuuGlTVvVNZBNtV^veXkFvhjxkeyoKwwDvkB_m^igt`bSH\\\\^elAauGlT_rKFkBnwRWm=V`npqCQ\\F?n`GcyFmmPeuV[Gfl=p_>A^CVugfsjXf\\p^fVeI^peF^HXcdFwUqa^Pe?WoLaZY_[@oaoAfYO_aWqKvrEQ]]iwE`yJipLArkhsFFyfnmO`d^yxSW^cFsoPc?otAQicN`OVbNqxv`_>^mRVZrY_:pqBW\\kWbpV_@@yM^bBqsG>fyAZhvi?ndmWxqWedweB^rUq_lA`tQnn>cZFaR>^?OxS_\\h?_eHh_olXa^`_f^N]S?hXfrHYwfYpa`tVfkmWth^ZFpif_lPXurn\\rF_@?a<pbHVp_OoXNlv^v\\WiQP_affwPbmO`gF]bIZjQtunabnpkppxphWigag]m>lWNscArkHr\\wtN_gmXhen[T`j_qoHWr<VqW?q?`hKgf^Ns<fsr>qkokRNnU?dGH^BIrj_uhW^>g`EQ\\H?m>yfcniSQoufkVxglXeKX^r>cAp[@om@avuPctvpoWZBhkl_lAGaMVyK@bP@wrynbVbGNe:F]u_iX_uQ>chqZr`rx?idy]\\VpvXk]fppXs;fxP>j_NyvPd]_wSn_jHku>mO_[dao>oxDgbUAuOnbkpkV`fR>^A>s`Wpba\\<w`OacoAc<obG?o:xbka]WvdVqwfVp[WcL^aCa`UplrN^UaeF@e`Qj>VbOpbCqsrhg^pc`niSgwY>pV_yUoo^Hfl^it@sMyZ;uWWUC[XT[FJaEZ;t=gvDyRUkgbQGU_wpCH]eY<;RCSY@[UNsxQEu`OrJ]feUeC=HjcuLSEaQBAcH[WB;CytgSpOdA_vEiIIYbWOb@SyfKglot\\?TN;v\\;Imyb=iXJ?udIgSGipaW>gF=_C=ebbqR<;efICMSuiauDWZ@HqLVrZVqY_h]ocXihB?meA`l?[=q]r?x;Go^`m<`kvGeffu>ynx^nHQeT^`A@rxnioAtRQfqomwN]xGuYVsbpf<HyTVhDOrZOfBv^Mwl=>ZVqtb^uMypUIiOWehPfK_lUvdvVhMOwTwvG^q>^n>^joa`HHa`Wj^?\\lGb@F^HIZ=ggIN_=VkINl?IwUYhv@ltPv_O^>GsanxCIbvhrW@pK?]\\I`SghDqhoG[GySwDPYBZQfVadfmyoWdv[CEQUE_BHyCx?GGSvP?rFMXDkeYSi?AdmwVaucF;S`Cd:kIxKFYcDe_sbIuN[Ef=Bq=TJ]GQsUJeXAUf_mHPuFbIFYmT_UXfchBODlKisQHesFe]F^aGNava_V=;uAeg=uBhEv^uRsAvcOTVUSI?d:uDuurWMI_oRrKg^sThCShES>uE^CGl]T>WET_DS_cZoCNCGlETKaVMaVSeRADOl<l?Al^HSlLoFXWBqwgYxh`MrYLAPXoem<uw\\HkIUkjtwe@SitSFIyCYRp\\Y:qUMevAynUQRx<n]muQAMcUUiItr<Ky\\WvQTpuOYQNa`xrirh@oxmS_`k^<s_uVpIRJPRM@N>\\tRhNJdULDN;qJ?mNWmKcIJ?eL@@VbUJOlN:Qke\\NQHh@IZpO[lHg`^jC>[<GZBNb>^J=VBcCBKTMKb>EVgGDpoRscvZeRnKBIECwOx\\ECQaW\\EUEUwsYEUUuAcvruXkSuy;BpgSXWuRsyfoyA?GjwDqIEUwDIAWPqEnCDZ[Fl?Y[mFniiQeeAmtxQwjmXjOuEwRNatMcTMEh^ODLmDO[d`[BCGS[?dJKEKEd<KTKET_uEqsIdmRtaSBSfRyCNMhPKTkaIO;EuASIWgq_DaSRsiIfuyTYGLqhloWjyVqmvuqdAkT:[fBGRLMEMMS<qTiaB]SRRkDTygFwtKoX\\?tOYIA;dkkW=]cY_HsUwmWcEUi\\cs;geOOhSeiF=UJCfBEUHAB@]VxeERwe<UgZcDusGdCT`[VR_rIKc_QeW]d>UxBkdSQTD]VOAwSeDVSVCMCl]wj;rHcxSuUGWe]=Ie_S^YF[AD^IUoaVEAFOYT;aBKYB;kRokVAggsiU<Gt>agOwDBCYFstWqSZmgeqSQkW^QV\\WdVWFa_w:oXgiuxMTqiT_mT>MFBQx;gUQgupkto]b[MSSasSOWuGYfmB<KfKWCX[VxMsuEb:yhGuXVaF:cEjKh?WiPwIPiUSmrOMbs?WfUigacpkdDCfqwE>qbA_i_;ILSU]?DCOhKmCV?uFqd:KGkgeC=S@SbFgdlCUQeUV[ch]XFCuRCG\\IhOGWxqeNWFtqThufc_B>ufJ_rsIxEoEpeVFgF;;SN]B^[tcwfGihQgXmeWN_GKCHKKtjKDxefouhOOD\\GtCoYVgVd[UkgVp?Gf]e<wDQmuDEeFYefAuWsTr_Ro=X\\ms?CIhOxPUEiCGJ[g^MD>]xmiWCqGbeR<]T<sB_Ms`qgvEGKAUI]d:?DRGhH]guMrkKG<iDQ=U@mrLisAKUusi?]feIcj_dv;CH;sl_gxMCgwHKCXcsFKSRZuC[uuNsXQcDmYsfsDMADXAUd=XrGVKMe`=eIKBGAhB[rR]ThevhAwhcFC=C@KI[ysFwEwcUycTNaCDMHliF[Ie\\oX]]c]=TFKBvgdl=UuAiDguF=V\\_C_cCFGiJUiKGyHOetSgKGdVwCI[S:QUXAeC]TG;DrEfFWbukvqUCmAGSMtIGu_cXpsbFgieebMAhO`WZaSiiJ]lMVxJrhOM]RI`J]]T:AVPPTYhs;dJZamOMTWDPK`mMTSOhl:iW\\XsONf\\>]c>ZU@^_Yf:FcH>]<xZ_fkmp\\SOqX@v>irIqja^xAAZqHmLi\\B`vJFfRqhNIecf`IP^HGjA^rlIacvg_ovQgcoOrYoim@sZWhgireOsR`c\\I`FgdJNoMW^sG_dAn<g^eq^@_eMVaTphqYm>of_O``QZrVZ>QwCagRVZ;qbNObR?l[`cbncpvtvg_FXnE^_mQ^nGqGIxCfevw_?`d<Y`bGubPsK_gRVvYPgXQx\\_sCi[vxZ?^g`p`eyhBftt>gFhv^orAH`kVZqx]\\`weNi]pv<^clG`Ia]jQvnhkJ^i@W_`@jFAnmQvu>idg\\Eh`Eax@IdyNwgVxTWaw^ppVnNwb\\qosG\\GacA?jPOsZgdoWaRGeOGhlpfK?luI]Y`q]qu^hbo_wcgkiq\\P`ZAVfIhZk`v:_mk`dqYysfuZPZ?FhtFmrxx[Pcm^utYqdh\\@qeOw^M?skFlhieporLguS?iC@kl>h_^u<VtaxgR>Z;ahJ>kw>oMo\\agg>_vTwr^fm<v[ChwCalqxnFijoNraF[ew^:@rvqdnHw>Hp[F`NOh<GmuVtcNcBPr_VwsG]jOdqHhGw\\U`xFqsF?xKFrsQwCYgTNvr?_H?mBAyJPfDQuiikjQpm^ka>flx^E_mU>`u^lioqqnrTXw>PuM^tFWj[wwUOnBX`:>kKAZj?]\\XddFqUvhmXqCG\\tVeQ?fKoo@whXwfCFiP?vA_]SptIylRnmNax>fp`h^pfgZibkW\\Sx^F`;YyY?wtcXS[T?OhPCvd_bnAs:;sQCIgsI\\qSv_T_]d_=U;aBoCrSORrMR>EGsKtjmgOIWVWDomYWMb^WT>[cIybUQDP]T>=h;Kf>SIbQxf]eMoXtwtn_c_osBibVyxdEcMwsSGwisTL_gvUiAyBhYSJOsBScj?Ed;FmUoRXUKHNn`lBTLcLSalKFlrbmUd]POATCtnRELv<JEXWE]Jm@NQmmBakbexBdTm<K<mvkXKutVhDrLqJhUmD]vb`kGUPA\\SF@XC`q_mLEXxCIk?MLu<YX<Kj`YchTlTMkULcLSKmOl`kSioW\\onmT;huvApFMS<ao_@KlDmGALDAKlTL=o\\G_lS`[ZpjcOpMH^KHdGa[^pj;_\\lVlbns<?qSXs:VZOhd=xtqx[b>tr>i_`xRWkhPv]AqlpdEIaQfepVaMWqth`josWWsUakeWkCY`phcxijoPxcXx_wxSwksAigFac>Z\\>]ZOZEwrN`uUitKFdB_n`Hslfk\\njLWbb>^RInC?lBAolhc<Xm[>l:_ZlVl[bMQCd[d\\kVOafJ[RZ=KJ\\>Hk^<J<EWZ@L><nJFbENgG@tovsR>skneafhqplTIuO__Aarmoe_ifoimAHoi`s:pYwsBiFroWwEyNadrsth]ChkwvSbAmvhcygMvAcGxEUqqy_]gQEr_QGtqwmwsaWsQsEFYIAyS;wGqyufuRPyeO?WL=WXwhZ?DT;D^oV>MB=oF>GcJKEJmF=oNLTL<aJMDO[\\JSak^Ll><SGQk>LSpTRN]SlAXRIO[dr[exrDUGaTOIKFaQ^IKNaUZAYeTmsiTk@l`DSWTTmIlFtKsATeIqKaylyY:LWQiowMQqHLMATS@PE@SHURA<qZaPEURmAWWtp=]K[=pwYSQHsKdMklY;it:LqxqNeMv]PO`<jQ<SedqYhyK\\UNhtSeuDdVR@sraN^qK^eU=dV`EP`lox@W`ulc\\ge^i`Q]lqid>tGNjen^rysagppPdNXkkFjKPheapqNqv?mqnkMAjxI\\SPydVaWArYyuTF^Gh`CqvAovJ@vunqegnlnouGr[gj\\hf]h=ocRIRggTQoSQ_HaSG]MVEEU`yI:]sOiGWqRb?gFcVViUZ?efgs`=FQSi]oh;ktlqb=[fxQvfosiGts]UHyI:gT>CF:CS^?cY;ECSGHWusuSceS\\KT`me`At_Cs?utT?wjKEiWTSYhpEUrWEMaWm_ftqU^;uy;bTkrOqhmydZ]htqrmEDNEFXuHI=sAyI:ACpaBvyv_ORUqs\\WCbKD\\MfL;Ck]gweRAEy[EEMQEoUd[AEJECssxVEx_Wt^aGG=hmsUxwVTYUTeRNQCE]iL_GGWxQau>avcOgxos<YCaUE_KV?miV]H@SVQaWCQTcoTUGgCkd_QBcCWCeW`wY<sU_UR]gXoCDIOwrSSF_S`YFnKGGiu`AEh;R<ODEyTjAs?YYSOTu]h]Oih?SWKtKoYakyGiWG?UdyHhCV[AvlYc[MVYqDtQguAg@ScdCT:qSGMBfIeUOC\\Wi[WyXMVtcVr[DB=T`_GkqYoOxBMYD_cgCdk;r^MCA]tgmhkMV@AD<KTA=DvmtKiU=ghpebpUC^ueN[hB_xR;fEuEdkUyWwKauHiw@MuAKbfmGlIHq?TsaxsUuhMVpmc>_IaSTL;HK_B:EU=UY_?HOWdBYxFIDZ=EZ]uwguwQSGWhtGiUwF\\cX:cFsAcryc?CDWkhQGUSst\\kfL]twebb]gXSSSucOKXFmvFiy_itGqReUhV?S?GXN;IMKhIUiDYcbMy<iBdGtpicR]B_CHWITu]V:shvothtVrTJZMjGUk^QpqPXxXYIQOudnR@KAAkPhSLEkRAnQIPMaT_UNcHQDQtIEmQUNneVsxtsYN;eVYaVpPvw\\qADMsTJ]TO^<xIDXdTTLdQ@MrylnApvbtq`qxdPwm]NvaN:HQL<yhHxJ<ljEpqLjuHKMewAMY<XT:qyq`rvEugeTK<m:`nJHKtPJIIOv]w^hU?TRoIStLM]Do?Ay:EpJqk@=QRiWBLjLYYIdpf=PHLX?]vhenwpMXQQ^`sv@S@moV=LrUO]HYwAugyRVEVehNR=qumtfuP=xY:DqPDPn`TtAjvyvY<thTUm`uiLP`qpC\\sBMSMEl`]vR@xZUohdmPDUU]rFYSP@MOTwsqpO<vBLSKyWKmnxixQXTqmrOHwTmT_ALFiwPLL=uYBTo<imW=jHiSFUVWExHLv>eY<Xo@PwsETtLnEaSCDKqmj\\YqgqpMijT`S_AoCeXCHs<qSUIkiuXATxj@R[AklyK\\UxdtuOiuTXVcEoyhtR`rxAkmyw^ym>`yrdWahOgmnT\\n=lLk\\OBuJFPrPtWkiospnBHSgQxrIqMYUjmTpTMyPOWDpkUj@dskqUPIOFh_GNm>a[r@spwx\\fnVgg[xxPVum^e;Fl>^kxO[Wn]pGuMVaCo>QhAYRjWseWEhiTgYfyAddyulyBkWgjiUU?Y;edK=tfaCBygW_F\\UIoYi_yXUmsoCFvSvMSu\\OSNuV_SUwOhKGThCDiQf^MbRIWigSQaW^cW:Kcl_cBkc[_rACdUIG@SuLwQ>xY:DY>tKuqv`EsGpQVAM:`jgLP]\\MyAotEogmXmelDEPsTj\\lvT]qXeXUUxWwuQHlb?[TVrZA`IqugprcQiSitVNmlfa>xvnIbIQhaWpTYlcN\\>Wv]HdmGkCY]SqgaO]vhkKGkL^l_y]<Xos@qoi_:iky_wPAhyNoVWyAhZ]hyvpb<?u[?`RQqr_a]Hp\\@sMFaHYdlvgrhoPFeopwI^olHnFHbI`qFpd\\PkEH^CO[d^_@hcB^jBafJQjfVm`^jC>lCInJhbF^n@@bSp^L;\\jC@lCMPNHkJbDaBEwTioWn=BKae__cuuyt?upACOSrsCfRsreibhwwPqVSSuf]vwEroQw@qfwaEuOhbuGqirdKqQxne`sRHXIqm[Er]]xxyMdaWQIPw=qaMUsmyeltgpx_ey]Ey]UoYdW^LT_anQhMbmN=q^MF>?dZSc[_DS_cDSc[_TL[fCMD_mfG;DZaTLeCN=C<;L>:::@n@iUnuupTrt<m=DkALMUqUOpxTER^]sj]ss\\ruqLLqlqQM``pE@P>Dn[AP>Dn:NB:Z>NmJFj[^`Z:abJOrHUHciw>=vYSr<aoqQNd]gJY^`VSguO[vZqSlwglEW<KT<MtjKFr=BrcfWiyJQH[KD>;FlSbL_hJgWDOx?qBKeGX;RUActqGQGCReH^ECmIVQ[FbMHwqi_]c;]byotk?ye?dcYRxIV?=E<KCUgiIAdtCh^MTIQigGyhEc?KWZShLoSamdJSBhaXh=Xs[R:yBUqbEMRpWds_Do[YIGGiwuTUd<ohNEFNsHJKT`AbB[Ev;iIOSiqyPiISQBccc:oiRkrIOuo?TPOd_UU\\CWo?BkGfWcewqVRSDG_iO[fbQgqUsAUYTyI:[CyeB@SUuufiuEcODRcsJkuK]wT=sPmrXOvWiCkcHSAs:=Fn]sBoHeUeg[dcoSPsdJAfIuX^uVn[wrkR]]s\\WsHUV_qx^GWpYBEiRn[rjqXmQUBqdL]eb=FOkdEGFBMWBEdCcd;WxK[eU]vW;EFKX;;G[crWctp?S=oEQCUSirBmwOqsHEYDYHNaBaCTGMElUCSQSTSTbaXsudIUDSKRrkFYiVVQRm?FKUF:gS^aiD_I?eDH?xukcm_Dv[g:As[YYQiCF_WNOElsRwItNQG<=D_KCqEid;SRgYjwgdCIdGs;Wd>=SauVP?d<qTEkvp;tKgKIuxOYp<UPW\\Q]AOdutJTjlPQqLn:Em?ujBHRWTnHUwM]qVHxluyt]t<qpNTNBlW[lJkEOslqblY?ptXpsgisKhMl]jAiWFTR>eOninNdSUDkDUxoiJC=Vjlv=PjJMTlLt<QK_ew^Yj_hmr`Vm`OSYur\\lvmtJljk\\J=xj`mpJTjxLsgUjT`XLTJ=@N^mon`wh=ODITJXPSHYDETqQUBqtLEm<iKEEwL\\kAAxPuuOQuMMQr@R>qXcyOmeVwEK_YPpTQI@NSPLliNCIqL\\pJejN@LT<<K:CB[[pJ:::\\ltqkPiSNeRj=NAEQyhLRLqG\\MFyd?@qHQfd>]VP^`gvEyg>ohji\\:A`ENnb?ef?lT@\\^n>MR<=g:?DT;D^oF>DMn<nCENB\\J[<K>:::::::::::::::::::::::::::::::rYyYp:3:\"\{\}-%%ROOTG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"&S-"F*-%.BOUNDS_HEIGHTG6#$"%!4#F*-%)CHILDRENG6"