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:3:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCImUy0iRiotJS5CT1VORFNfSEVJR0hURzYjJCIlNUtGKi0lKUNISUxEUkVORzYi Cap\303\255tulo 21 Antiderivadas
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Introdu\303\247\303\243o</Font></Text-field> Toda a nossa aten\303\247\303\243o at\303\251 hoje tem sido sobre o c\303\241lculo de derivadas. Esta unidade vira tudo de cabe\303\247a para baixo. Agora, em vez de encontrar a derivada de uma fun\303\247\303\243o, ser\303\241 pedido para identificar uma fun\303\247\303\243o baseada na informa\303\247\303\243o sobre sua derivada. Da perspectiva de diferencia\303\247\303\243o estas fun\303\247\303\265es s\303\243o conhecidas como antiderivadas. Da perspectiva de \303\241rea (a ser introduzida mais tarde nos cap\303\255tulos Soma de Riemann e Integral Definida), faz mais sentido falar sobre integral indefinida de uma fun\303\247\303\243o. Os objetivos deste cap\303\255tulo s\303\243o: tornar confort\303\241vel o uso da linguagem de ambos: antiderivadas e integrais definidas; demonstrar que a f\303\263rmula da derivada pode ser transformada em f\303\263rmula de antiderivada (ou integral indefinida), e; entender que se pode verificar (pela deriva\303\247\303\243o) se uma integral indefinida qualquer est\303\241 correta. A compreens\303\243o gr\303\241fica da antiderivada pode ser grandemente aumentada com o uso do maplet Antiderivative.
<Text-field style="Heading 1" layout="Heading 1" spaceabove="7"><Font encoding="UTF-8">\303\215ndice de Termos</Font></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 constante cosseno curva integraldefinida denominador derivada diferencia\303\247\303\243o avaliar familia fun\303\247\303\243o gr\303\241fico integralindefinida vari\303\241velindependente infinito integral integrando integra\303\247\303\243o intervalo multiplo negativo numerador regradapot\303\252ncia expoente somaderiemann raiz sinal solu\303\247\303\243o tabelas valor vari\303\241vel zero
<Text-field style="Heading 1" layout="Heading 1" spaceabove="7"><Font encoding="UTF-8">Inicializa\303\247\303\243o</Font></Text-field> 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 N1pJKGFuaW1hdGVHNiJJKmFuaW1hdGUzZEdGJEktYW5pbWF0ZWN1cnZlR0YkSSZhcnJvd0dGJEktY2hhbmdlY29vcmRzR0YkSSxjb21wbGV4cGxvdEdGJEkuY29tcGxleHBsb3QzZEdGJEkqY29uZm9ybWFsR0YkSSxjb25mb3JtYWwzZEdGJEksY29udG91cnBsb3RHRiRJLmNvbnRvdXJwbG90M2RHRiRJKmNvb3JkcGxvdEdGJEksY29vcmRwbG90M2RHRiRJLGRlbnNpdHlwbG90R0YkSShkaXNwbGF5R0YkSS1kdWFsYXhpc3Bsb3RHRiRJKmZpZWxkcGxvdEdGJEksZmllbGRwbG90M2RHRiRJKWdyYWRwbG90R0YkSStncmFkcGxvdDNkR0YkSS1pbXBsaWNpdHBsb3RHRiRJL2ltcGxpY2l0cGxvdDNkR0YkSShpbmVxdWFsR0YkSSxpbnRlcmFjdGl2ZUdGJEkyaW50ZXJhY3RpdmVwYXJhbXNHRiRJLmludGVyc2VjdHBsb3RHRiRJLWxpc3Rjb250cGxvdEdGJEkvbGlzdGNvbnRwbG90M2RHRiRJMGxpc3RkZW5zaXR5cGxvdEdGJEkpbGlzdHBsb3RHRiRJK2xpc3RwbG90M2RHRiRJK2xvZ2xvZ3Bsb3RHRiRJKGxvZ3Bsb3RHRiRJK21hdHJpeHBsb3RHRiRJKW11bHRpcGxlR0YkSShvZGVwbG90R0YkSSdwYXJldG9HRiRJLHBsb3Rjb21wYXJlR0YkSSpwb2ludHBsb3RHRiRJLHBvaW50cGxvdDNkR0YkSSpwb2xhcnBsb3RHRiRJLHBvbHlnb25wbG90R0YkSS5wb2x5Z29ucGxvdDNkR0YkSTRwb2x5aGVkcmFfc3VwcG9ydGVkR0YkSS5wb2x5aGVkcmFwbG90R0YkSSpyb290bG9jdXNHRiRJLHNlbWlsb2dwbG90R0YkSSpzZXRjb2xvcnNHRiRJK3NldG9wdGlvbnNHRiRJLXNldG9wdGlvbnMzZEdGJEkrc3BhY2VjdXJ2ZUdGJEkxc3BhcnNlbWF0cml4cGxvdEdGJEkpc3VyZmRhdGFHRiRJKXRleHRwbG90R0YkSSt0ZXh0cGxvdDNkR0YkSSl0dWJlcGxvdEdGJA==
<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Antiderivada e Integral Indefinida </Text-field> Nesta abordagem ao c\303\241lculo, a integral indefinida \303\251 definida como sendo a mesma coisa que uma antiderivada. Alguns textos desenvolvem a no\303\247\303\243o de uma antiderivada primeiro, e ent\303\243o mostra que a integra\303\247\303\243o, o problema de encontrar a \303\241rea sob uma curva, requer encontrar uma antiderivada, assim neste campo a antiderivada \303\251 ent\303\243o identificada com a integral. Aqui, fazemos imediatamente uma ponte, e a integral indefinida \303\251 imediatamente tomada como sin\303\264nimo de antiderivada. Vamos tornar estas no\303\247\303\265es precisas pela seguinte defini\303\247\303\243o: Defini\303\247\303\243o 21.1: Antiderivada Uma fun\303\247\303\243o F \303\251 uma antiderivada, ou uma integral indefinida, de f em um intervalo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= se 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 para todo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=.
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Notas</Text-field> A defini\303\247\303\243o prov\303\252 um exame direto para determinar se F \303\251, de fato, uma antiderivada de f : derive F (em rela\303\247\303\243o a LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EieEYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGLy9GNUY5Rjc=) e compare este resultado com f no intervalo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiSUYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dGMS8lLG1hdGh2YXJpYW50R1EsYm9sZC1pdGFsaWNGJy8lK2ZvbnR3ZWlnaHRHUSVib2xkRidGLy9GNUY5Rjc= Uma nota\303\247\303\243o alternativa comum para antiderivada \303\251 a nota\303\247\303\243o de integral JSFHJSFH 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 Leia a express\303\243o 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 como "a integral indefinida de 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 em rela\303\247\303\243o a LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=." O primeiro s\303\255mbolo (um S alongado) \303\251 chamado de sinal de integral, o integrando \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiNRIUYnLUYjNiQtRiw2JVEieEYnRi9GMkY5RlRGOUY5Rjk=, e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 a vari\303\241vel de integra\303\247\303\243o. O sinal de integral e o dx devem ser vistos como um par combinado -- como os par\303\252nteses esquerdo e direito. A defini\303\247\303\243o e estas notas est\303\243o cuidadosamente escritas para estabelecer que F \303\251 uma antiderivada de f (e n\303\243o que F \303\251 a antiderivada de f ). A raz\303\243o para isto se tornar\303\241 clara nos exemplos a seguir.
<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Exemplo 21.1</Text-field> Para explorar este enunciado 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 escreva o integrando LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkY+RitGPg== como: 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 Ly1JImZHNiI2I0kieEdGJSwmKiYiIiQiIiIpRiciIiNGK0YrRi0hIiI= e considere as fun\303\247\303\265es: 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 Ly0mSSJGRzYiNiMiIiI2I0kieEdGJiwmKiQpRioiIiRGKEYoKiYiIiNGKEYqRighIiI= Ly0mSSJGRzYiNiMiIiM2I0kieEdGJiwoKiQpRioiIiQiIiJGLyomRi5GL0YqRi8hIiJGKEYv Ly0mSSJGRzYiNiMiIiQ2I0kieEdGJiwoKiQpRipGKCIiIkYuKiYiIiNGLkYqRi4hIiJGKEYu
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7"><Font encoding="UTF-8">Verifica\303\247\303\243o Anal\303\255tica </Font></Text-field> Das derivadas destas fun\303\247\303\265es, a saber, de: 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 Ly1JJURpZmZHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCwmKiQpSSJ4R0YoIiIkIiIiRi8qJiIiI0YvRi1GLyEiIkYtLCYqJkYuRi8pRi1GMUYvRi9GMUYy Ly1JJURpZmZHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCwoKiQpSSJ4R0YoIiIkIiIiRi8qJkYuRi9GLUYvISIiIiIjRi9GLSwmKiZGLkYvKUYtRjJGL0YvRi5GMQ== Ly1JJURpZmZHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCwoKiQpSSJ4R0YoIiIkIiIiRi8qJiIiI0YvRi1GLyEiIkYuRi9GLSwmKiZGLkYvKUYtRjFGL0YvRjFGMg== se v\303\252 que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMUYnL0Y5USdub3JtYWxGJ0ZBLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGK0ZB e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiM0YnL0Y5USdub3JtYWxGJ0ZBLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGK0ZB s\303\243o antiderivadas (integrais indefinidas) de f e que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMkYnL0Y5USdub3JtYWxGJ0ZBLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGK0ZB n\303\243o \303\251 uma antiderivada de f.
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7"><Font encoding="UTF-8">Verifica\303\247\303\243o Gr\303\241fica</Font></Text-field> Para entender porque podem existir mais que uma antiderivada de 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, considere a Figura 21.1 onde os gr\303\241ficos de 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, e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiM0YnL0Y5USdub3JtYWxGJ0ZBLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGK0ZB no intervalo 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 s\303\243o vistos. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2I1EhRictRiM2KUYrLUYjNiktRiw2JVElcGxvdEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMCZBcHBseUZ1bmN0aW9uO0YnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZTLUkobWZlbmNlZEdGJDYkLUYjNi4tRlc2Ji1GIzYrLUYsNiVRI0YxRidGNkY5LUY9Ni1RIixGJ0ZARkIvRkZGOEZHRklGS0ZNRk9GUS9GVVEsMC4zMzMzMzMzZW1GJy1GLDYlUSNGMkYnRjZGOUZcby1GLDYlUSNGM0YnRjZGOS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUrZXhlY3V0YWJsZUdGREZARkAvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGXG8tRiM2Ki1GLDYlUSJ4RidGNkY5LUY9Ni1RIj1GJ0ZARkJGRUZHRklGS0ZNRk8vRlJRLDAuMjc3Nzc3OGVtRicvRlVGX3EtRiM2KkYrLUYjNigtRj02LVEqJnVtaW51czA7RidGQEZCRkVGR0ZJRktGTUZPL0ZSUSwwLjIyMjIyMjJlbUYnL0ZVRmlxLUkjbW5HRiQ2JFEiMkYnRkBGaG9GW3BGXnBGQC1GPTYtUSMuLkYnRkBGQkZFRkdGSUZLRk1GT0ZocUZURltyRmhvRltwRl5wRkBGK0Zob0ZbcEZecEZARlxvLUYjNiktRiw2JVEmY29sb3JGJ0Y2RjlGW3EtRlc2Ji1GIzYrLUYsNiVRJHJlZEYnRjZGOUZcby1GLDYlUSVibHVlRidGNkY5RlxvLUYsNiVRJmdyZWVuRidGNkY5RmhvRltwRl5wRkBGQEZgcEZjcEZob0ZbcEZecEZARlxvLUYjNiktRiw2JVEnbGVnZW5kRidGNkY5RltxLUZXNiYtRiM2LUYrLUkjbXNHRiQ2I1EneX49fkYxRidGXG8tRl50NiNRJ3l+PX5GMkYnRlxvLUZedDYjUSd5fj1+RjNGJ0YrRmhvRltwRl5wRkBGQEZgcEZjcEZob0ZbcEZecEZARitGaG9GW3BGXnBGQEZARmhvRltwRl5wRkBGK0Zob0ZbcEZecEZARitGaG9GW3BGXnBGQA== -%%PLOTG6(-%'CURVESG6%7dw7$$!#?!""$!#S!""7$$!/&**)z&p*y>!#8$!0[3"p,M#z$!#97$$!/">Q7r1'>!#8$!0i[)o4$fh$!#97$$!/4='f#4S>!#8$!0L*\UVCAM!#97$$!0_.2mx$>>!#9$!0)z[MBDKK!#97$$!0\)pz6w)*=!#9$!0A)[i*p![I!#97$$!0d8F1Z'z=!#9$!0ZQCJO;)G!#97$$!0a3<]b)f=!#9$!0c@URXOr#!#97$$!0.05/(QR=!#9$!0(o!)*G1Xa#!#97$$!0d9HA%)*==!#9$!0K9n?60Q#!#97$$!0U$o;u*zz"!#9$!0i+Yqhl@#!#97$$!0mJjA7&z<!#9$!0%zXJC4w?!#97$$!0,,-G-(e<!#9$!0G*yy3KA>!#97$$!0;Kk)o!yt"!#9$!0O`:r:Dx"!#97$$!0d8FIqwr"!#9$!0Y<%e)eCj"!#97$$!0*ydbVQ*p"!#9$!0EjWe&*)3:!#97$$!0*)ydfSwn"!#9$!0*)*\/8Sm8!#97$$!0[&4z2Af;!#9$!0zW<!eT\7!#97$$!0$oO`TzP;!#9$!0ibn3"e<6!#97$$!0)\**ez#)=;!#9$!0lWK/^Y+"!#97$$!0%*)yP!>!)f"!#9$!0W;3jpw%))!#:7$$!/'>R-/#y:!#8$!0o!>8")oWx!#:7$$!0Ryc8Hvb"!#9$!0#*o^**pMj'!#:7$$!0OrU8V&Q:!#9$!/"Q$eAA[c!#97$$!0<Mo;k!=:!#9$!0M/h+"zAY!#:7$$!0)e<vAz'\"!#9$!06I#od4)f$!#:7$$!0xa4.v#y9!#9$!0D'ow-?RF!#:7$$!/&**)**eFe9!#8$!0`gRR>d%=!#:7$$!0-.1%[hP9!#9$!0rxk?GTf*!#;7$$!0iC\--uT"!#9$!0X:^X,(z7!#;7$$!0;Kk3XyR"!#9$"0(\%48dTV'!#;7$$!0-.1WIhP"!#9$"0'RXc^Mi9!#:7$$!0kFb')=mN"!#9$"0z>#eO'\;#!#:7$$!0OsW4'yN8!#9$"0Y"GpM'4)G!#:7$$!0pPv]3pJ"!#9$"0>7,Z5(*\$!#:7$$!0(Rz=.F'H"!#9$"0@*[@#fR9%!#:7$$!0zd:R^oF"!#9$"0LB!ey))>Z!#:7$$!0V'G<Ibc7!#9$"0w%4?X-"H&!#:7$$!0;Jik2nB"!#9$"/zFV(z$>e!#97$$!0b4>QJf@"!#9$"0)['HQ97M'!#:7$$!0D]+P@f>"!#9$"0s@`-ES"o!#:7$$!029GCea<"!#9$"0eS(eQ$yE(!#:7$$!0,.1ck^:"!#9$"0(R$\o:()o(!#:7$$!0OrUx;l8"!#9$"0$z))o\G]!)!#:7$$!0nLnIW^6"!#9$"03(*e^WbV)!#:7$$!0#\)p^Gg4"!#9$"0u-7I:Uv)!#:7$$!0X!4)4Zc2"!#9$"0.UHiDv1*!#:7$$!0*zfz%Rh0"!#9$"0t#)Rl'GU$*!#:7$$!0T"Gw(yW."!#9$"0&)**yxQ">'*!#:7$$!0(Rz)>Ad,"!#9$"0:(pANKN)*!#:7$$!0*)yd:LV%**!#:$"0-'*H*QZ05!#97$$!0T#['43.v*!#:$"0OaiP9J-"!#97$$!0NpQ<v!Q&*!#:$"0zi#4)*))R5!#97$$!0OrU0a\N*!#:$"0k#))f/H_5!#97$$!0'=Pu/SY"*!#:$"0'f6[H7k5!#97$$!/.17![\%*)!#9$"0\^Gd&Gt5!#97$$!0%)oP:FOu)!#:$"0iNIDm-3"!#97$$!0'Hf=p/V&)!#:$"0U(*=j1^3"!#97$$!0mKl5_.N)!#:$"0kdR*Q"y3"!#97$$!0zd:"R/U")!#:$"0*)***\#\')3"!#97$$!0W([(46N%z!#:$"/#H^oru3"!#87$$!0['HfYcMx!#:$"0E$owU?%3"!#97$$!0V&3<yTXv!#:$"0f*e+y\z5!#97$$!0pQx9vjL(!#:$"0'Q`4PTs5!#97$$!0W([(p[h8(!#:$"0^E94CQ1"!#97$$!/,-/'4k$p!#9$"0K[w/XN0"!#97$$!0nLnM"yFn!#:$"0`&p?k.T5!#97$$!0kFb5Fc`'!#:$"06"4*))fz-"!#97$$!0'>Ry[$)Qj!#:$"0\YTMnI,"!#97$$!0">QwGb@h!#:$"0(RRo6:\**!#:7$$!0`06#=#[#f!#:$"0_hx+B)p(*!#:7$$!0oOtYFOs&!#:$"0)[P['*>s&*!#:7$$!/)f>*z,>b!#9$"0/o&4u'pN*!#:7$$!0rT$o?%4L&!#:$"0e05t')o9*!#:7$$!/17C#f/8&!#9$"0)p7&)))\5*)!#:7$$!0rT$oC]J\!#:$"0W%\7vnj')!#:7$$!0d9He!o=Z!#:$"0,%RuAq'Q)!#:7$$!0@U%)[u3`%!#:$"0raUu8;8)!#:7$$!006AC&=9V!#:$"0[-X%fSDy!#:7$$!0f<N!*R'=T!#:$"0FpI!piQv!#:7$$!/.17!e^#R!#9$"0@%p6AdXs!#:7$$!0b5@#G5<P!#:$"0DHp**=1#p!#:7$$!0:Ig+1#3N!#:$"0Cs(G#RYe'!#:7$$!0'3<M39=L!#:$"0(=A=C&4F'!#:7$$!0h@V1+j6$!#:$"/jUng'*Hf!#97$$!)KK>H!")$"/G!**f[)*e&!#97$$!0.05?)z0F!#:$"0-^.h&\8_!#:7$$!0w_0rR5_#!#:$"0,M?=^=)[!#:7$$!0oOt'y$)3B!#:$"0$*y(oxf%\%!#:7$$!0Z%*)ypN4@!#:$"0[Ya]g[7%!#:7$$!0Y"HeG!=">!#:$"0Di+^HPv$!#:7$$!0b4>e"49<!#:$"0zy%o7#yP$!#:7$$!0([(\fQC^"!#:$"/^?.1G!*H!#97$$!0=Nq!)*o)H"!#:$"0aGR(fZvD!#:7$$!0\(\*4.F5"!#:$"01j^$y*>>#!#:7$$!0LjE`!R#4*!#;$"0**G\Gh4"=!#:7$$!0)Hf=<HCq!#;$"0`I3^#R,9!#:7$$!0Pu[(\pg\!#;$"0&==EC=4**!#;7$$!0xe<N%\3J!#;$"/p8Z])R@'!#:7$$!0N'Gd9HW"*!#<$"0Qg'G=yG=!#;7$$"0[=PuGY@*!#<$!0o**y]ZG%=!#;7$$"03?S![uoI!#;$!0H=8r*fMh!#;7$$"0mMpQ<"=^!#;$!0w4,y#GA5!#:7$$"0([(\*H'z%p!#;$!0(H:E&QiQ"!#:7$$".%zed"e+*!#9$!0uI.,fQz"!#:7$$"0F`1$4t26!#:$!0s#e^#p=?#!#:7$$"0_.2u&*QJ"!#:$!03\*4%4^g#!#:7$$"0w_0"p.0:!#:$!0F%p'o#)f(H!#:7$$"0-.1__Hq"!#:$!/h#Gh=lN$!#97$$"0>Qw7Pw!>!#:$!/GLDQ&eu$!#97$$"0rU&3`m6@!#:$!0Y()yqo"HT!#:7$$"0Fa3PL:K#!#:$!0co:IZz^%!#:7$$"0'=Pu_Q1D!#:$!0&fJ\-Kb[!#:7$$"0Ryct%[9F!#:$!0'3'[ja*G_!#:7$$"0%oOt'QM#H!#:$!0Dl`%e-(f&!#:7$$"0x_0^/[7$!#:$!0%=d30\Wf!#:7$$"0b4>)Rm2L!#:$!0V-:K[MD'!#:7$$"/&**)z:5DN!#9$!0kX;,i@h'!#:7$$"0nLnu*H4P!#:$!0zt&z/C3p!#:7$$"/,-/gcBR!#9$!0n9GtBJC(!#:7$$"/(Qx%zA8T!#9$!0s=f\`0`(!#:7$$"0**)zfrJ@V!#:$!0$)RQ(4oNy!#:7$$"0Y#\)Hn%>X!#:$!0\`w(p!e6)!#:7$$"0_/4=;is%!#:$!.:4"=t'R)!#87$$"0)[(\>wg"\!#:$!0y')QnWSk)!#:7$$"0tY$pe'37&!#:$!/k;'Rt))*))!#97$$"0lHfy%eL`!#:$!0PB=&z"*\"*!#:7$$"0rS"Gsv=b!#:$!0D/K:%oc$*!#:7$$"0Z$pQ&[(=d!#:$!0h-IqKsc*!#:7$$"0He;8f`#f!#:$!02,HtJ.x*!#:7$$"0@U%)G([Fh!#:$!0:yK/UV&**!#:7$$"0$oOtm0Bj!#:$!0*e)o"*3=,"!#97$$"0He;8.-a'!#:$!0(Rs'H)GG5!#97$$"017C))=`t'!#:$!0%*=`E>:/"!#97$$"0#['HfYO%p!#:$!0%Gben%R0"!#97$$"0c6BYAC8(!#:$!0z,&=ykj5!#97$$"0u[(\V!)Qt!#:$!0:'f$=2D2"!#97$$"0c5@i$*H`(!#:$!0/X<_J"z5!#97$$"07C[Oxft(!#:$!/0bKKB%3"!#87$$"0)oPv5VMz!#:$!0T*oZDP(3"!#97$$"0(Hf=P>U")!#:$!0vRuT\')3"!#97$$"0$f=PQHU$)!#:$!0N7TG')y3"!#97$$"0uZ&4^#pa)!#:$!0)p&4vK]3"!#97$$"0He;$>')\()!#:$!/NSBA3!3"!#87$$"0([(\zRj$*)!#:$!0"3-E#GO2"!#97$$"0w^.Zk+:*!#:$!0=*4Ee$R1"!#97$$"/#RyOA7M*!#9$!0QBd-WJ0"!#97$$"0#Rycl.X&*!#:$!0/afw!QR5!#97$$"0a3<u7,u*!#:$!0Pkt.!)R-"!#97$$"0Pu[x>n&**!#:$!0_Z#3>F/5!#97$$"0([(\bGW,"!#9$!/TY;*Q%\)*!#97$$"0&4>QurN5!#9$!0)HO'*y4/'*!#:7$$"/17W*>^0"!#8$!099HlzfN*!#:7$$"0">QOKMw5!#9$!0zG*Q%ps0*!#:7$$"0rT$[`l%4"!#9$!/:!Qpwhx)!#97$$"0mJjq5b6"!#9$!0&[Yk*)>H%)!#:7$$"0"Gc_flN6!#9$!0E0H@+k1)!#:7$$"0'>RQ!)yb6!#9$!0Ckwg7in(!#:7$$"0b4>1Ye<"!#9$!0)ptA%4&fs!#:7$$"0e:Ja:^>"!#9$!0Ni*z;YKo!#:7$$"028EOYf@"!#9$!0YJY_\3M'!#:7$$"/,-W'*zN7!#8$!/*pGK^G%e!#97$$"/#RyG%pc7!#8$!0%[^3v:(G&!#:7$$"/.1s*3cF"!#8$!0B&)ypZdv%!#:7$$"0(\**QK^'H"!#9$!0QnT%)pl8%!#:7$$"/,-%)e`;8!#8$!/'fE;R;^$!#97$$"0$oO$z4lL"!#9$!/4TXqncG!#97$$"0[&4>EPd8!#9$!/->F!*RQ@!#97$$"03;K/)ew8!#9$!0<40A"\X9!#:7$$"0lHfEniR"!#9$!0M*pKSXUq!#;7$$"0lIhY&*zT"!#9$"0ETY2N)=:!#;7$$"0He;dowV"!#9$"0'\P>wp;'*!#;7$$"0=Nq+)yd9!#9$"0,NX`hV#=!#:7$$"0'Gda*[#y9!#9$"0$GD&H7!QF!#:7$$"0nMpacq\"!#9$"0N'f+cd5O!#:7$$"0yc8$[5<:!#9$"0")f/U&pvX!#:7$$"0nMp]+q`"!#9$"07@$=tjpb!#:7$$"0Rxap#Ge:!#9$"0WH24nKn'!#:7$$"0iC\Ijqd"!#9$"0=#pmuK#o(!#:7$$"0uZ&HAt)f"!#9$"0eZbwn!))))!#:7$$"04<Mw'G=;!#9$"0PX)y+[,5!#97$$"0"Gc_\jP;!#9$"0Qbm]=m6"!#97$$"0zd:ZS%e;!#9$"0hn`&[`W7!#97$$"0$e;`,Lz;!#9$"0>vwA-tP"!#97$$"0w^.nO$)p"!#9$"/&Qmp>>]"!#87$$"0oOtu?&=<!#9$"0k/*H"*GQ;!#97$$"0%)oPV=#Q<!#9$"0r4_3Aax"!#97$$"0MoO$4df<!#9$"0\9q(ykG>!#97$$"0d8FyY!y<!#9$"0ry&yI6l?!#97$$"0=Nq'pE*z"!#9$"0CRn)QMEA!#97$$"/%ze0:#>=!#8$"0$=:06M#Q#!#97$$"/(RzYq*Q=!#8$"0ZZE;76a#!#97$$"0*yd&fT(e=!#9$"01@a"4K/F!#97$$"0OrU*o!*y=!#9$"0;81`u_(G!#97$$"0LlIx"G+>!#9$"0vY(3&)[hI!#97$$"/">QW!))>>!#8$"0%e(*)*\!oB$!#97$$"0@U%[oAR>!#9$"0KF?G/UT$!#97$$"0"HeOy!*f>!#9$"0WH=@e'3O!#97$$"/,-/Qa!)>!#8$"0Kbl$>q2Q!#97$$"#?!""$"#S!""-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q'y~=~F16"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6%7dw7$$!#?!""$""!!""7$$!/&**)z&p*y>!#8$"0@5z5%Hm=!#:7$$!/">Q7r1'>!#8$"0u/(\:SZM!#:7$$!/4='f#4S>!#8$"0v:o`#[y^!#:7$$!0_.2mx$>>!#9$"0Nb@E`7(o!#:7$$!0\)pz6w)*=!#9$"0x-@<7p])!#:7$$!0d8F1Z'z=!#9$"0(4v-v5!)**!#:7$$!0a3<]b)f=!#9$"0)p[2,@Y6!#97$$!0.05/(QR=!#9$"0:)>^2)[H"!#97$$!0d9HA%)*==!#9$"0D+i,t%Q9!#97$$!0U$o;u*zz"!#9$"/G37dV"e"!#87$$!0mJjA7&z<!#9$"0st[z>Mq"!#97$$!0,,-G-(e<!#9$"0s69S"QO=!#97$$!0;Kk)o!yt"!#9$"/)y[<"Hl>!#87$$!0d8FIqwr"!#9$"06'HW9@&3#!#97$$!0*ydbVQ*p"!#9$"0j96x)[!>#!#97$$!0*)ydfSwn"!#9$"0,z7HR7J#!#97$$!0[&4z2Af;!#9$"0p]t(\!)4C!#97$$!0$oO`TzP;!#9$"0@6m18-_#!#97$$!0)\**ez#)=;!#9$"0L]d"p<9E!#97$$!0%*)yP!>!)f"!#9$"/tqu?D8F!#87$$!/'>R-/#y:!#8$"0`+E@NP!G!#97$$!0Ryc8Hvb"!#9$"/:;O@=%*G!#87$$!0OrU8V&Q:!#9$"0bP%34stH!#97$$!0<Mo;k!=:!#9$"0uBi1&ybI!#97$$!0)e<vAz'\"!#9$"0(GN)p#)p8$!#97$$!0xa4.v#y9!#9$"0:'G.]N/K!#97$$!/&**)**eFe9!#8$"0W.0'RqtK!#97$$!0-.1%[hP9!#9$"0CQ&eNnTL!#97$$!0iC\--uT"!#9$"0Zt.,0YS$!#97$$!0;Kk3XyR"!#9$"0hTxl'=iM!#97$$!0-.1WIhP"!#9$"0T[i&\OAN!#97$$!0kFb')=mN"!#9$"0i\8B:Jd$!#97$$!0OsW4'yN8!#9$"0^+9W#)Qi$!#97$$!0pPv]3pJ"!#9$"0"*[Xbzom$!#97$$!0(Rz=.F'H"!#9$"0*G%4Cm1r$!#97$$!0zd:R^oF"!#9$"07gt<S)[P!#97$$!0V'G<Ibc7!#9$"0"fHpal&y$!#97$$!0;Jik2nB"!#9$"0&*e0iX'=Q!#97$$!0b4>QJf@"!#9$"0/1-#G0]Q!#97$$!0D]+P@f>"!#9$"0U#esRKxQ!#97$$!029GCea<"!#9$"08)oG;C-R!#97$$!0,.1ck^:"!#9$"0T'4Hh.CR!#97$$!0OrUx;l8"!#9$"0:g6FX:%R!#97$$!0nLnIW^6"!#9$"0QB$e()peR!#97$$!0#\)p^Gg4"!#9$"/_5Z+XrR!#87$$!0X!4)4Zc2"!#9$"0l%Qg'*R#)R!#97$$!0*zfz%Rh0"!#9$"0E'*\9o.*R!#97$$!0T"Gw(yW."!#9$"0RrSl#R'*R!#97$$!0(Rz)>Ad,"!#9$"0oj5ba#**R!#97$$!0*)yd:LV%**!#:$"0"Rd3s!***R!#97$$!0T#['43.v*!#:$"0h-f=X")*R!#97$$!0NpQ<v!Q&*!#:$"0s\mK(p$*R!#97$$!0OrU0a\N*!#:$"0x4`'ey()R!#97$$!0'=Pu/SY"*!#:$"0:`b*HwyR!#97$$!/.17![\%*)!#9$"0_dSP!ynR!#97$$!0%)oP:FOu)!#:$"/DTo*GY&R!#87$$!0'Hf=p/V&)!#:$"0rcPK6%RR!#97$$!0mKl5_.N)!#:$"0"4h/"\G#R!#97$$!0zd:"R/U")!#:$"0nb6k`G!R!#97$$!0W([(46N%z!#:$"0%z([zA=)Q!#97$$!0['HfYcMx!#:$"0"HhU2mdQ!#97$$!0V&3<yTXv!#:$"09)H#eRS$Q!#97$$!0pQx9vjL(!#:$"0t2VA^g!Q!#97$$!0W([(p[h8(!#:$"0Dv6'*Qux$!#97$$!/,-/'4k$p!#9$"0L]!3g=ZP!#97$$!0nLnM"yFn!#:$"/*o`b9Qr$!#87$$!0kFb5Fc`'!#:$"0(Qk*fA:o$!#97$$!0'>Ry[$)Qj!#:$"0p&)>$3&pk$!#97$$!0">QwGb@h!#:$"0fxWSqqg$!#97$$!0`06#=#[#f!#:$"0r')G[k%pN!#97$$!0oOtYFOs&!#:$"0;r:r#eHN!#97$$!/)f>*z,>b!#9$"0y_,a)f([$!#97$$!0rT$o?%4L&!#:$"0tM*zGyZM!#97$$!/17C#f/8&!#9$"0wC4"e4/M!#97$$!0rT$oC]J\!#:$"0i$3)*z^fL!#97$$!0d9He!o=Z!#:$"0'3t&GQ0J$!#97$$!0@U%)[u3`%!#:$"0ppK#)[iE$!#97$$!006AC&=9V!#:$"0Nr'="fR@$!#97$$!0f<N!*R'=T!#:$"0pe1oEd;$!#97$$!/.17!e^#R!#9$"0XvB-tq6$!#97$$!0b5@#G5<P!#:$"0)R!>=sP1$!#97$$!0:Ig+1#3N!#:$"0C![BXG4I!#97$$!0'3<M39=L!#:$"0FR_K4*eH!#97$$!0h@V1+j6$!#:$"0zuJhEY!H!#97$$!)KK>H!")$"0G!**zr"4&G!#97$$!0.05?)z0F!#:$"/c8"QH>z#!#87$$!0w_0rR5_#!#:$"0oe#*3*GSF!#97$$!0oOt'y$)3B!#:$"0c6OcV.o#!#97$$!0Z%*)ypN4@!#:$"/TV[<UBE!#87$$!0Y"HeG!=">!#:$"0PNoB`lc#!#97$$!0b4>e"49<!#:$"0$)Q]G">4D!#97$$!0([(\fQC^"!#:$".=)>>F]C!#77$$!0=Nq!)*o)H"!#:$"0P'4ylT(Q#!#97$$!0\(\*4.F5"!#:$"01mM4q%HB!#97$$!0LjE`!R#4*!#;$"0`>Q.??F#!#97$$!0)Hf=<HCq!#;$"0)*o#o@Q5A!#97$$!0Pu[(\pg\!#;$"0c5Sx)p[@!#97$$!0xe<N%\3J!#;$"0'*))RzCK4#!#97$$!0N'Gd9HW"*!#<$"0*Qu4@VF?!#97$$"0[=PuGY@*!#<$"0Gxh*oNs>!#97$$"03?S![uoI!#;$"0iY[bmz!>!#97$$"0mMpQ<"=^!#;$"0o>"[0fY=!#97$$"0([(\*H'z%p!#;$"0&\V<l*=z"!#97$$".%zed"e+*!#9$"0**y8%fbI<!#97$$"0F`1$4t26!#:$"/kx")*R!p;!#87$$"0_.2u&*QJ"!#:$"0uM\[*43;!#97$$"0w_0"p.0:!#:$"/`FS!)*=b"!#87$$"0-.1__Hq"!#:$"04dm)G0%\"!#97$$"0>Qw7Pw!>!#:$"/Hq/4lM9!#87$$"0rU&3`m6@!#:$"0)pN)f;fP"!#97$$"0Fa3PL:K#!#:$"0sdF$>0;8!#97$$"0'=Pu_Q1D!#:$"0AJwWHQE"!#97$$"0Ryct%[9F!#:$"02YH1cc?"!#97$$"0%oOt'QM#H!#:$"0zE"[N&z9"!#97$$"0x_0^/[7$!#:$"0a(3)\qI4"!#97$$"0b4>)Rm2L!#:$"/)e'p())Q/"!#87$$"/&**)z:5DN!#9$"0'[X3kti)*!#:7$$"0nLnu*H4P!#:$"0a#pt(fCQ*!#:7$$"/,-/gcBR!#9$"0BlJE5L$))!#:7$$"/(Qx%zA8T!#9$"0fUjb=iN)!#:7$$"0**)zfrJ@V!#:$"0=hj'=+Vy!#:7$$"0Y#\)Hn%>X!#:$"0/aQsDZO(!#:7$$"0_/4=;is%!#:$"0Z!=3?0xo!#:7$$"0)[(\>wg"\!#:$"0MQ68z)Rk!#:7$$"0tY$pe'37&!#:$"0(o[M2E!)f!#:7$$"0lHfy%eL`!#:$"0)pCis\;b!#:7$$"0rS"Gsv=b!#:$"0/b'='eX7&!#:7$$"0Z$pQ&[(=d!#:$"0#RIe(=Sr%!#:7$$"0He;8f`#f!#:$"0kSa84VI%!#:7$$"0@U%)G([Fh!#:$"0jz#o1<=R!#:7$$"0$oOtm0Bj!#:$"0Jux:a)eN!#:7$$"0He;8.-a'!#:$"0)>5,R"p<$!#:7$$"017C))=`t'!#:$"0f)Rk%)[\G!#:7$$"0#['HfYO%p!#:$"0w1:#e)o^#!#:7$$"0c6BYAC8(!#:$"0^qEN*4JA!#:7$$"0u[(\V!)Qt!#:$"0z*G9Q7O>!#:7$$"0c5@i$*H`(!#:$"02R/;"pv;!#:7$$"07C[Oxft(!#:$"0"4n4.p@9!#:7$$"0)oPv5VMz!#:$"01HxWV=>"!#:7$$"0(Hf=P>U")!#:$"0P&4q578(*!#;7$$"0$f=PQHU$)!#:$"/f!p@L%)y(!#:7$$"0uZ&4^#pa)!#:$"0rC)3QZFg!#;7$$"0He;$>')\()!#:$"0QnIMeJ\%!#;7$$"0([(\zRj$*)!#:$"0vq"[%zPF$!#;7$$"0w^.Zk+:*!#:$"0Aklosd5#!#;7$$"/#RyOA7M*!#9$"0zp#\PPt7!#;7$$"0#Rycl.X&*!#:$"0[rvOyb6'!#<7$$"0a3<u7,u*!#:$"/Kxk%)o3?!#;7$$"0Pu[x>n&**!#:$"0f.Z]E9h&!#>7$$"0([(\bGW,"!#9$"0tcryLbF'!#=7$$"0&4>QurN5!#9$"/uus@xsQ!#;7$$"/17W*>^0"!#8$"0"H)ze!4#G*!#<7$$"0">QOKMw5!#9$"0=@D(>)Hz"!#;7$$"0rT$[`l%4"!#9$"079yA)psF!#;7$$"0mJjq5b6"!#9$"0u&=A(Rp:%!#;7$$"0"Gc_flN6!#9$"0$fm9ESqd!#;7$$"0'>RQ!)yb6!#9$"0ihT3q!fw!#;7$$"0b4>1Ye<"!#9$"0Tv;e*H?)*!#;7$$"0e:Ja:^>"!#9$"0(=))))GQ;7!#:7$$"028EOYf@"!#9$"0)yB\oo*\"!#:7$$"/,-W'*zN7!#8$"04HpB_"*z"!#:7$$"/#RyG%pc7!#8$"/K48'**e9#!#97$$"/.1s*3cF"!#8$"0v6:ei")[#!#:7$$"0(\**QK^'H"!#9$"0(G)ew(H)*G!#:7$$"/,-%)e`;8!#8$"/%Rr*>+BL!#97$$"0$oO$z4lL"!#9$"0w?4-D#yP!#:7$$"0[&4>EPd8!#9$"0.b=yuyG%!#:7$$"03;K/)ew8!#9$"0.ItMG')y%!#:7$$"0lHfEniR"!#9$"0eLu$>3L`!#:7$$"0lIhY&*zT"!#9$"/w:Y)G>(f!#97$$"0He;dowV"!#9$"0ea`/%)\e'!#:7$$"0=Nq+)yd9!#9$"0D$=k9[Ys!#:7$$"0'Gda*[#y9!#9$"0=C&\F_bz!#:7$$"0nMpacq\"!#9$"0i\785+k)!#:7$$"0yc8$[5<:!#9$"0(>*o5ZYS*!#:7$$"0nMp]+q`"!#9$"0W(*[Aj*>5!#97$$"0Rxap#Ge:!#9$"0c&f8S/46!#97$$"0iC\Ijqd"!#9$"/YuT%p6>"!#87$$"0uZ&HAt)f"!#9$"0-2qau+H"!#97$$"04<Mw'G=;!#9$"0HGaJ$>$Q"!#97$$"0"Gc_\jP;!#9$"0d#4aN)*y9!#97$$"0zd:ZS%e;!#9$"0#)4QQ%4'e"!#97$$"0$e;`,Lz;!#9$"0O4X2szp"!#97$$"0w^.nO$)p"!#9$"0u'GEIe.=!#97$$"0oOtu?&=<!#9$"0'zc#Qo(>>!#97$$"0%)oPV=#Q<!#9$"0(3W^O?P?!#97$$"0MoO$4df<!#9$"0:YL%p2p@!#97$$"0d8FyY!y<!#9$"09leHmqG#!#97$$"0=Nq'pE*z"!#9$"01/(>p2FC!#97$$"/%ze0:#>=!#8$"0Vs#\g7jD!#97$$"/(RzYq*Q=!#8$"0x2ZpT@q#!#97$$"0*yd&fT(e=!#9$"0<V)>$zb%G!#97$$"0OrU*o!*y=!#9$"/=MOwO'*H!#87$$"0LlIx"G+>!#9$"0U"oNn?hJ!#97$$"/">QW!))>>!#8$"0vc^bCpJ$!#97$$"0@U%[oAR>!#9$"06&eLu(\Z$!#97$$"0"HeOy!*f>!#9$"0`Y_P]([O!#97$$"/,-/Qa!)>!#8$"0AND8er#Q!#97$$"#?!""$"#S!""-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q'y~=~F26"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%'CURVESG6%7dw7$$!#?!""$!#5!""7$$!/&**)z&p*y>!#8$!0x%3"p,M#z!#:7$$!/">Q7r1'>!#8$!0@'[)o4$fh!#:7$$!/4='f#4S>!#8$!0H$*\UVCA%!#:7$$!0_.2mx$>>!#9$!0#)z[MBDK#!#:7$$!0\)pz6w)*=!#9$!0`@)[i*p![!#;7$$!0d8F1Z'z=!#9$"0H:c(oj$="!#:7$$!0a3<]b)f=!#9$"0R%ydgajG!#:7$$!0.05/(QR=!#9$"0DJ>5P\b%!#:7$$!0d9HA%)*==!#9$"0xcG$z)[>'!#:7$$!0U$o;u*zz"!#9$"0%Q*R&HQMy!#:7$$!0mJjA7&z<!#9$"0i?aov!R#*!#:7$$!0,,-G-(e<!#9$"0s577zw2"!#97$$!0;Kk)o!yt"!#9$"0kY%)G%[F7!#97$$!0d8FIqwr"!#9$"0a#eT6an8!#97$$!0*ydbVQ*p"!#9$"0uObT/6\"!#97$$!0*)ydfSwn"!#9$"06+bp)fL;!#97$$!0[&4z2Af;!#9$"0@b#)>%e]<!#97$$!0$oO`TzP;!#9$"0QWK"*=C)=!#97$$!0)\**ez#)=;!#9$"0Nbn&*[`*>!#97$$!0%*)yP!>!)f"!#9$"0O=p.L_6#!#97$$!/'>R-/#y:!#8$"0$4o)=JbA#!#97$$!0Ryc8Hvb"!#9$"06$[+IlOB!#97$$!0OrU8V&Q:!#9$"0>mTxx^V#!#97$$!0<Mo;k!=:!#9$"0d*Q**3sPD!#97$$!0)e<vAz'\"!#9$"0*p<B/>SE!#97$$!0xa4.v#y9!#9$"0QJB(*zgs#!#97$$!/&**)**eFe9!#8$"0&Rgg!Ga"G!#97$$!0-.1%[hP9!#9$"0ANzreS!H!#97$$!0iC\--uT"!#9$"0&)[a)H?()H!#97$$!0;Kk3XyR"!#9$"0X48dTV1$!#97$$!0-.1WIhP"!#9$"/ak:XBYJ!#87$$!0kFb')=mN"!#9$"0)>#eO'\;K!#97$$!0OsW4'yN8!#9$"0:GpM'4)G$!#97$$!0pPv]3pJ"!#9$"0A6q/r*\L!#97$$!0(Rz=.F'H"!#9$"0#*[@#fR9M!#97$$!0zd:R^oF"!#9$"0L-ey))>Z$!#97$$!0V'G<Ibc7!#9$"0[4?X-"HN!#97$$!0;Jik2nB"!#9$"0zFV(z$>e$!#97$$!0b4>QJf@"!#9$"0\'HQ97MO!#97$$!0D]+P@f>"!#9$"0<KDg-9o$!#97$$!029GCea<"!#9$"01ueQ$yEP!#97$$!0,.1ck^:"!#9$"/M\o:()oP!#87$$!0OrUx;l8"!#9$"0z))o\G]!Q!#97$$!0nLnIW^6"!#9$"0r*e^WbVQ!#97$$!0#\)p^Gg4"!#9$"0F?,`@a(Q!#97$$!0X!4)4Zc2"!#9$"/UHiDv1R!#87$$!0*zfz%Rh0"!#9$"0F)Rl'GU$R!#97$$!0T"Gw(yW."!#9$"0)**yxQ">'R!#97$$!0(Rz)>Ad,"!#9$"0spANKN)R!#97$$!0*)yd:LV%**!#:$"0-'*H*QZ0S!#97$$!0T#['43.v*!#:$"0OaiP9J-%!#97$$!0NpQ<v!Q&*!#:$"0zi#4)*))RS!#97$$!0OrU0a\N*!#:$"0k#))f/H_S!#97$$!0'=Pu/SY"*!#:$"0'f6[H7kS!#97$$!/.17![\%*)!#9$"0\^Gd&GtS!#97$$!0%)oP:FOu)!#:$"0iNIDm-3%!#97$$!0'Hf=p/V&)!#:$"0U(*=j1^3%!#97$$!0mKl5_.N)!#:$"0kdR*Q"y3%!#97$$!0zd:"R/U")!#:$"0*)***\#\')3%!#97$$!0W([(46N%z!#:$"/#H^oru3%!#87$$!0['HfYcMx!#:$"0E$owU?%3%!#97$$!0V&3<yTXv!#:$"0f*e+y\zS!#97$$!0pQx9vjL(!#:$"0'Q`4PTsS!#97$$!0W([(p[h8(!#:$"0^E94CQ1%!#97$$!/,-/'4k$p!#9$"0K[w/XN0%!#97$$!0nLnM"yFn!#:$"0`&p?k.TS!#97$$!0kFb5Fc`'!#:$"06"4*))fz-%!#97$$!0'>Ry[$)Qj!#:$"0\YTMnI,%!#97$$!0">QwGb@h!#:$"/%Ro6:\*R!#87$$!0`06#=#[#f!#:$"0:w2I#)p(R!#97$$!0oOtYFOs&!#:$"0\P['*>s&R!#97$$!/)f>*z,>b!#9$"/o&4u'pNR!#87$$!0rT$o?%4L&!#:$"0c+Jn)o9R!#97$$!/17C#f/8&!#9$"/F^)))\5*Q!#87$$!0rT$oC]J\!#:$"0W\7vnj'Q!#97$$!0d9He!o=Z!#:$"/%RuAq'QQ!#87$$!0@U%)[u3`%!#:$"0ZDWPhJ"Q!#97$$!006AC&=9V!#:$"0D]WfSDy$!#97$$!0f<N!*R'=T!#:$"0$pI!piQv$!#97$$!/.17!e^#R!#9$"0Up6AdXs$!#97$$!0b5@#G5<P!#:$"0$Hp**=1#p$!#97$$!0:Ig+1#3N!#:$"0AxG#RYeO!#97$$!0'3<M39=L!#:$"0>A=C&4FO!#97$$!0h@V1+j6$!#:$"0jUng'*Hf$!#97$$!)KK>H!")$"0G!**f[)*eN!#97$$!0.05?)z0F!#:$"/^.h&\8_$!#87$$!0w_0rR5_#!#:$"/M?=^=)[$!#87$$!0oOt'y$)3B!#:$"0*y(oxf%\M!#97$$!0Z%*)ypN4@!#:$"0lW00'[7M!#97$$!0Y"HeG!=">!#:$"0A15&HPvL!#97$$!0b4>e"49<!#:$"0)y%o7#yPL!#97$$!0([(\fQC^"!#:$"0^?.1G!*H$!#97$$!0=Nq!)*o)H"!#:$"0&GR(fZvD$!#97$$!0\(\*4.F5"!#:$"0J;Ny*>>K!#97$$!0LjE`!R#4*!#;$"/H\Gh4"=$!#87$$!0)Hf=<HCq!#;$"00$3^#R,9$!#97$$!0Pu[(\pg\!#;$"0#=EC=4*4$!#97$$!0xe<N%\3J!#;$"0Pr/&)R@1$!#97$$!0N'Gd9HW"*!#<$"/mG=yG=I!#87$$"0[=PuGY@*!#<$".@\_r:)H!#77$$"03?S![uoI!#;$"0#o)G+a'QH!#97$$"0mMpQ<"=^!#;$"0-*)>srx*G!#97$$"0([(\*H'z%p!#;$"/ZQZhPhG!#87$$".%zed"e+*!#9$"0$p'*)491#G!#97$$"0F`1$4t26!#:$"0tT[28)zF!#97$$"0_.2u&*QJ"!#:$"040!f!*[RF!#97$$"0w_0"p.0:!#:$"0dI8t,Cq#!#97$$"0-.1__Hq"!#:$"0R<(Q"[Vm#!#97$$"0>Qw7Pw!>!#:$"0smuh9ai#!#97$$"0rU&3`m6@!#:$"0D6#HJ3(e#!#97$$"0Fa3PL:K#!#:$"09V)p_?[D!#97$$"0'=Pu_Q1D!#:$"0To](zY9D!#97$$"0Ryct%[9F!#:$"0"R^OX5xC!#97$$"0%oOt'QM#H!#:$"0[jaT(HSC!#97$$"0x_0^/[7$!#:$"0#G9\4b0C!#97$$"0b4>)Rm2L!#:$"0w\y;bYP#!#97$$"/&**)z:5DN!#9$"0WN))z$yQB!#97$$"0nLnu*H4P!#:$"0iU?&f<4B!#97$$"/,-/gcBR!#9$"0`=ni(ovA!#97$$"/(Qx%zA8T!#9$"083/lWpC#!#97$$"0**)zfrJ@V!#:$"0-;E!>V;A!#97$$"0Y#\)Hn%>X!#:$"0lMAI>%)=#!#97$$"0_/4=;is%!#:$"/&3*=oKg@!#87$$"0)[(\>wg"\!#:$"0K6E`&fN@!#97$$"0tY$pe'37&!#:$"0O$QgE65@!#97$$"0lHfy%eL`!#:$"0m<[?3]3#!#97$$"0rS"Gsv=b!#:$"0ezYeJV1#!#97$$"0Z$pQ&[(=d!#:$"0u*pHnFV?!#97$$"0He;8f`#f!#:$"0*)4n#o'H-#!#97$$"0@U%)G([Fh!#:$"0=sczlX+#!#97$$"0$oOtm0Bj!#:$"069J3">))>!#97$$"0He;8.-a'!#:$"0.wKq6<(>!#97$$"017C))=`t'!#:$"01"oM2[e>!#97$$"0#['HfYO%p!#:$"0;Z9C`g%>!#97$$"0c6BYAC8(!#:$"0@)\"=_j$>!#97$$"0u[(\V!)Qt!#:$"0&QS;G\F>!#97$$"0c5@i$*H`(!#:$"0'\Dy%o3#>!#97$$"07C[Oxft(!#:$"/&\uwmd">!#87$$"0)oPv5VMz!#:$"0f5BXFE">!#97$$"0(Hf=P>U")!#:$"0DgDe]8">!#97$$"0$f=PQHU$)!#:$"0l()er8@">!#97$$"0uZ&4^#pa)!#:$"0-V!\s'\">!#97$$"0He;$>')\()!#:$"/lfwx"*>>!#87$$"0([(\zRj$*)!#:$"0>zRxrj#>!#97$$"0w^.Zk+:*!#:$"0#3!R<kg$>!#97$$"/#RyOA7M*!#9$"0iwU(f&o%>!#97$$"0#Rycl.X&*!#:$"0'f/M#>1'>!#97$$"0a3<u7,u*!#:$"0jNE'*>g(>!#97$$"0Pu[x>n&**!#:$"0[_<4Gd*>!#97$$"0([(\bGW,"!#9$"0f`$3h0:?!#97$$"0&4>QurN5!#9$"/PO5-fR?!#87$$"/17W*>^0"!#8$"0f3Z.-W1#!#97$$"0">QOKMw5!#9$"072h0tU4#!#97$$"0rT$[`l%4"!#9$"0&)>1L#QA@!#97$$"0mJjq5b6"!#9$"0_`N5!3d@!#97$$"0"Gc_flN6!#9$"0Z4(y*fL>#!#97$$"0'>RQ!)yb6!#9$"0eL#R(yBB#!#97$$"0b4>1Ye<"!#9$"/jsd!\SF#!#87$$"0e:Ja:^>"!#9$"0x.?$Qv;B!#97$$"028EOYf@"!#9$"0&o`Z]"fO#!#97$$"/,-W'*zN7!#8$"0,8x'[r:C!#97$$"/#RyG%pc7!#8$"0_["\UGrC!#97$$"/.1s*3cF"!#8$"0[6-BDW_#!#97$$"0(\**QK^'H"!#9$"0E$e:IM'e#!#97$$"/,-%)e`;8!#8$"0/MP3O)[E!#97$$"0$oO$z4lL"!#9$"0"*eaHKVr#!#97$$"0[&4>EPd8!#9$"0)4G(4ghy#!#97$$"03;K/)ew8!#9$"03\z(3XbG!#97$$"0lHfEniR"!#9$"0,t'fadHH!#97$$"0lIhY&*zT"!#9$"0TY2N)=:I!#97$$"0He;dowV"!#9$"0v$>wp;'4$!#97$$"0=Nq+)yd9!#9$"/NX`hV#=$!#87$$"0'Gda*[#y9!#9$"0GD&H7!QF$!#97$$"0nMpacq\"!#9$"0kf+cd5O$!#97$$"0yc8$[5<:!#9$"0)f/U&pvX$!#97$$"0nMp]+q`"!#9$"06K=tjpb$!#97$$"0Rxap#Ge:!#9$"0%H24nKnO!#97$$"0iC\Ijqd"!#9$"0ApmuK#oP!#97$$"0uZ&HAt)f"!#9$"0walx1)))Q!#97$$"04<Mw'G=;!#9$"0PX)y+[,S!#97$$"0"Gc_\jP;!#9$"0Qbm]=m6%!#97$$"0zd:ZS%e;!#9$"0hn`&[`WU!#97$$"0$e;`,Lz;!#9$"0>vwA-tP%!#97$$"0w^.nO$)p"!#9$"/&Qmp>>]%!#87$$"0oOtu?&=<!#9$"0k/*H"*GQY!#97$$"0%)oPV=#Q<!#9$"0r4_3Aax%!#97$$"0MoO$4df<!#9$"0\9q(ykG\!#97$$"0d8FyY!y<!#9$"0ry&yI6l]!#97$$"0=Nq'pE*z"!#9$"0CRn)QME_!#97$$"/%ze0:#>=!#8$"0$=:06M#Q&!#97$$"/(RzYq*Q=!#8$"0ZZE;76a&!#97$$"0*yd&fT(e=!#9$"01@a"4K/d!#97$$"0OrU*o!*y=!#9$"0;81`u_(e!#97$$"0LlIx"G+>!#9$"0vY(3&)[hg!#97$$"/">QW!))>>!#8$"0%e(*)*\!oB'!#97$$"0@U%[oAR>!#9$"0KF?G/UT'!#97$$"0"HeOy!*f>!#9$"0WH=@e'3m!#97$$"/,-/Qa!)>!#8$"0Kbl$>q2o!#97$$"#?!""$"#q!""-%'LEGENDG6#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q'y~=~F36"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%%VIEWG6$;$!#?!""$"#?!""%(DEFAULTG-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%ROOTG6'-%)BOUNDS_XG6#$"$I"!""-%)BOUNDS_YG6#$"#]!""-%-BOUNDS_WIDTHG6#$"%!z$!""-%.BOUNDS_HEIGHTG6#$"%gN!""-%)CHILDRENG6"
Figura 21.1 Exemplo 21.1: O que significa para 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 ter mais de uma antiderivada
Observe que o gr\303\241fico de 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 \303\251 o gr\303\241fico de 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 deslocado verticalmente por 3, ou seja, 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 O gr\303\241fico de 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 n\303\243o \303\251 um deslocamento vertical dos outros gr\303\241ficos. Em geral, qualquer deslocamento vertical de uma antiderivada \303\251 ainda uma antiderivada. Isto deve ser porque a derivada de uma constante \303\251 zero. No caso das fun\303\247\303\265es espec\303\255ficas neste exemplo, qualquer fun\303\247\303\243o da forma 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, onde LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 uma constante, \303\251 uma antiderivada de 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. Na nota\303\247\303\243o para integral indefinida: 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
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">O Maplet Antiderivative</Text-field> A rela\303\247\303\243o entre 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 e qualquer antiderivada 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 pode ser explorada graficamente com o maplet Antiderivative, equivalente ao Tutor Antiderivadas dispon\303\255vel no menu Ferramentas/Tutoriais/C\303\241lculo - \303\232nica Vari\303\241vel. Aplicada a esta fun\303\247\303\243o, temos a Figura 21.2. 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>[;vk<>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>ZyBwutACDvotsodIeb@EVuoy;?VDwrKWflkHaEH;OEP=qmEPB=tm]pbPV`HYvElXTnXdma\\Jn`nxdlqurdysCdmsevJqP\\=qvHjRMYOEX\\uOvHQ[HwfUUY`TuiNN\\S=AlhHx@TSgaJZ]j]UTSTJr`jTDWv`STpqAdNW=Yw]PUHs[D\\T^gPflBX[Q`iMXl;psl?`k^kDnvGYxvo_MoclVowgeG@xrOcRQqh@\\@Wca^jPXbU>iYNcQO[RFoPwZ>>lHv`n?s]na@ylEAxXHhyE<Wc_YrxUwyPVetmAEtHyK]eWxEmaLkRYnMaw`qUsxvSQq]Ek;@Vj@jFxV`=mh]vL=yLTwPExhdk_MvvLu?inYMr_QJRaRGMpAAQ>TV`@x?Ajc]p]aTQmXUdLEULHip\\\\X`iTcMqL]vuyi;XhYWsjylwA[TydwQxYayOo]Y_jyEtGdnywugvyDxOqrrYsAmTtxx<\\yCUobMo``Tn@Q]YPSiu`trGQXfPwFAnY`Lh=qsTWWiv`XNalUeQTcmt@mVsIvSDNcQlWMmRlVJIkFHs=tj;HjAEnOHTGUL\\twiLBbhIeuiwy;R?It_=yIoY>cueqYsyGxOws;Uviw[YGwqwPugEmUSaFN]wisGfmTEmF;?Fn[s_]uIiE=kW@QipOGtwEI]Xc[YoefwawDqdqig[AYvUBq]EJSX^qh_kXkYTv[BqUutwh]KEfosmYcjyEwASTwtaeuikqixL[cBMYQ]uwqreuYwcDwuuSOToeWLcwxIRhwFPeDYIh?SyBgTFSgZuss;VruBPYWbSwaKfhGYd=yduh:QRQOSH;WoesPqS<WWs[VUKVM=cN=wVmw`Ou^yfh_cHcybux:?gvsyCyI:?dEevylqUxY:P;:ZJietnbZOoF`raE=af]ewJCH=ofGMvYOGq=gvSWUCGh<wjMKUimtTvYdkX<wGPXvmnkuk<DwVaXsYuysLEIxYdyCVUYcymyUwiDmwQQBx?X<wGAoDxQGk]x\\mRMYHpYwRWVE?yHAVBQfU=rCERfcHa?RDoxoWFgqW:EWYqvMcxewtxqd@SSnEWfmTEIcyCS^YTB;HtuvPCrZ;FTsGN]xnmiYcry;RbirLyQYioyOk]xf>@pI^yZNuHw[Igly@YAXf]iMkvlSwmiEEOFGuYOcuqECEufESbm\\nDyNwYVkxwNtO>Pvl\\qqXVeYMWpm`uySmKUIWMHtytPBewgmMAUUemt;pVKtrd@K^tl]Ar\\<xZqsEYsjyNwA;@xY]YOqNIIkyGnUFcyAZx<OwLUWtYseuf<YRgutQQBDYIiqwTGEWKESIsR?BHEc\\[YIKDeyU=kypCDocu<ueKqes?sPQr`yQRdo^dKT<M^@OZuJS`OvPjapm]MjbtX>`Xxxu>xiJik_xYyXEyq\\Aol]Y`LYrUmEyivwpyU?mTe?YImRGuuHSTaWYuWYGKTnSIiQiNyGTSs`ex?ssuIX:]Ea]Ia]FQwY^AyxutPQdnYUmEfukf`WFioHK?etMHaqsdeFNmBXitCGGXEBPwB_aEKAgf_IyGCHwc;_xivy:Rdsuij?QtyxwPxIgtBkykAX>kxPwxLuEE[rMeBmmh^GrQMSUqHSEgkwCM]skss^;hseGwQrlucTQc[aw>GhwaWXibGiIFkbS?VM=gZowGOcL[GRqsZoVI_XLssiM:Q>jbrMLrhhLyayqtiihy;xquxbRY]uapT?^JOxvy>D>^If\\CgvryC:^px>rYiu]`wGfyTi_JfqDp]Y_J\\x\\DwYyHDhvvQ:y@To=UywxipGjaxqqAgnPbqA_soiMvYXK_xY:tEdrKiVrysx]JWYox[YoyIyghItwqmYiu\\Ht<vjQHvyJtRsBIyW<:ZOwYSiwwYuyRpUYyo`bFix;::::jx;:LA:::::::::::pI:Jt:::::::::::jx;:LA:::::::::::pI:Jt::::::::::ZuYZyohI@pqvxb_p:Gn_uM:r]YcjN>ytwQxY]YOyEuURyohI;xqfu<vjQ<::::[wGiqwIjyBWObAy<:Bd_IyI[<;s=erOwIjy`fi;pMb]lv::::ji:[?iIJ=Wsjh:::ZwQuxrqfU:::::[?qALQ?:::I[<;s=erOZfi;p]b:::::y<>PvXQx`wY>kroUCrUDGWIR=gOicS?EXOjV`VuqtL<wPdJ;umCtj]\\q]xiV>o_ypeWiWq`hWmoW[xgixNieqr^@bS>l=nk`qnP?wnFhQQepVmcwggfrIQrZ@l\\pwqo`sQ[w>cLV\\sQ[ixnU?yq?dSPnMqiWNuYOqZHl>I\\Lf\\UGn^>pVnxSfspOxda[[?lCNc_AcBqa@AqYp[Xis^@i=wevPkcG^Lh[TVabPuwfn=h^E@qZ>`Z^mbPwBfx@fjmX\\ivi<yacwy:^bSxbwIpY^yl?oXYerYiIGm]^tx^]TAuBAwHqj\\Q^ZhjeAsl?aVfxcIdUAwYW\\`@i\\wcD@hL^wdXnuqafNx:WZyvf]yuoHbo?oYWgyp[vv`mGoHo_iw^Mi^THvDPoe@sf_uuXfRF]w>jiYdpWl`?lCGsaft_xxLPeYf[WAb`^prQfMPrI?scig;i]kHm;^ydIc[>t]QdgAxfHjHxqaw]vqhsxmGneSysc_]qNqOpsWPhKqbpxd\\xdkvbc>rE^_:Ov?Wh?`ahw]=YjBAtQaZTabiGgiheCw^BHbWoppwxG^vSab:Avx@``Fis>rZNoH@mZGclqyoheap_AHtIy^]`]<WrehunhoWyhsy\\xXtZXuSyoD`agVnhxle@gXihFAdS^nEGiHislhrdNjpOlrxvAnwcHrTapPodCX]I?vWoh^a]aiwypk]Vw?OingoLO[F?xk_hOP[LqntX`mpqJipUwy:^jTFcJaxpqqyPlXItLi`WHfrFZCgghAhB>rxFq:nkRPomQerqv]QcrXiiyjLfedAv`qupgtgOjC?rTQtIv`^if^vv`Oh:W^`?hp`aZNypHnJVpIheuPpqPpMapiQ_rNdlnau?hGyxA@owYg^OeXI]vHl]Yky``V^\\GqqZii@Y`xIih`_pOZPPadf`LHguvy:Ne@V]O^_u^qPnqy@xKwsvo^jyeDhgoywLNgXW_MqeA^t\\np;_^QI`Fwx?^aJarBHkDFnW_di>brF]@qcPXkjyqJWtnGivg_XNpQVrynfTPuTAaZH`XQbLpgRVx=?\\powuNc?X^HPei@eUouYOu?Gi_WvUWyUHgM`il_rJPptPy<x\\axZlIoyufeCUIey_Rqcd=IilIv:yI:ubeOFWeDDKwJAeHeWaMtVQdx]xBAvUmHtsTTofmyVXUGdQVO]XEcUdURgkF]=gg[FGaS:af^?de[iY]Iq=T@;RWwH>kyUKGXIEOowXUbLsXtivo_gTicGUGUSdZ?IJqgwKXLuiqEYqcgeSyaug]OsugiUUwhYEyEch;GHWHIkgXyuqysseR?eXgeYesvwigQcCo=K;ULGaoH=P>\\rOaUFUUhCCwF`mrdEiSIu@=yu;vVMe@wf]AGQMDWUfCyxNcwgiwxMSPSvGCg_uhC?y<McS=hkWrKSDSEHdwymig>KEFMehyE\\ghq=TrgEvUHk_XpivvUCyYXFCSOWb:kWIIDBWNXtrrMmhQO[MsrUQNAV:=L>AtmmmAAXtUXDaPGauFxi>xpOwy:vqJwY]IGmG@kb`ybjuvJYTvue]kgxcgBqrTCSggfqgHo?xU]c@IwukXF_R;QShWr:WcrMbX]HxYFvoxQgBpKInIDYSCs_XwqWMcd?IfXMHsgbCsCSUUqqwuaE]cudyTpouiuY=oweuixIvy;R\\AwxYsOyqJYudxIZsAeVwtOaa_ffd@eIIfbHe?iha?aE^_lVZo@rZNxA>qBaxfx]V^yovcJ>y@vv<q\\QWZFgpX@_Zau]f_Bh\\N`pZOZkFqQogfIxQi]dxifiqYoy@huQoywYbyAZ>ItwylexY[xpOwyxWNyQveSPDvmakxF]IxjogyAncQyfDxsNotgfhrgcLi`>ApCI]G`nPohvGswXnHIcRfuJQv^pqri]mgaXynwo]qP]W_urGqvFdbgsdGe[>lhVtE>j:Qq]qhRF\\Cy]i^]oyYmhXy?:M>RbjY;_egiRHqvq?veusoKvEGBeQwVyerkCIEDRGxo_epsHKcBEWuhIf`Iv;kSDixc?BfIDuMisqT@WUwQt<UHKwtqWd@AyMIeg]SQowhGxRYswcv]effaeacDwYGKwylexy;BtUUoyuucxIsYMyRpo=fYR\\EgliBDkuX=yWgyGYvmMVeWiRgrkATg_h_MHBoxB_yA[ER_UJCBAUEjGhHoyVgrQaGw]CywCnswDmEeMtHKipsv_QUWcRU]BhGVLmFs;FdWU:Sr;Ccv=bwurggiQYwy;rJWudyQy@ty=Jk]Pyivd?::^]fp_lOqyHrA>qkahTgwXHp_Iyt^yT^xcg`rPl;_`dG\\[Xxt>kDGjo@bsAchA`P^\\rY]mo[MxncqdtavEWg`@in@iDxsoWniWusHuZXhypoV?l]AtvwngphYFut;pIrbZ[<y?BfmGmOyi?BGUeMqYkYYWauVgyU_BJ]G\\cvaciGsXAoHFMt:cUZsTvcHRoioIyjYg[MVrQtHkH]ouUuvWkc_ITf_wxoCFAb<mrL]CCSbvmdhwFJ;iPwyleP:\\H:y:jx[CxnDQraIbwQjyVqtIdwQJvdyfyQXO;BnvYBxxMSQyydyGPqihytyjy=jCPnLmWQLqI\\wKhyYQtI\\w;hyYWhyAZS=:;jK;=?xERPiy<uv;gQyYxnYNu]Jyyxnmoy=JuuoQsJJy:J:\\Hy=n\\wOraIBVQ]<vDJ:<G::rxx:arKQcuibHYBu]RyyhnYFujVyifiqY;wALfw]:::msQ[Uh[xY;u]WiycvY;u]flIyYEetyI:ciGOyiiitybyGs]SYi::OxxEfmAvxCrYiEwAwxC:WwYqyEi<jY=?vi_Owy=:WvOshEcMfkLy[]Zmkf[tTyB:M>Rb:JstujIQJuyZykhqYNtyZy;QsawyleP:\\Hy=v]S=fYR\\PsuijH;XNu[VC:Z=;w=:;::srekGQKyI[wKiyYOtI[wKrsyI:_Wwy=hiIB:aJuu?H>:fvwOra=qob:i<>ZJ=y@x=Zu=ajO:jA;m?:Z>UyB::jV:JDkaDwV;::::^_uijH]toiNxI:::::ZpGfn_hY>UaHwAwxR_Y`_[n]q=YFu::TpEXnZpiwvaDwAXtnmoy;H>nIJy;vIJE@Pt::jl::::::::VB::::::Z_;:::::::rJ:::::::E=::RmidyZLYpha[a_rUGZ`@iggh@VdppupquAG^mgp=Oxxgl_qi^NapGproggpyZVwtp`eAg\\q`pyguano?bS>rM>_^Flr@xyN]oIenfkL?cTIavVdcPqjVreFbC^[w>[UisOwYCVPyGt]sCwy<UwYkYqQe;_FoIt=YerqDLSsrGVQedEwFH?FGEg[MILsd?;s>MHIAiaUtMUWiWwaUUVAgTaTi?ftoE;[sFcWX=esoDIEDfODsMgUmvA]doqW?[yhMW;eU`cb]CVTgIiyEsoc`IIJsWh;Cqki\\_IYcuvUWEsx]=WD;xugTsgr;yfPki\\qUT;Y`suREwf;dlOi=GFVgE^]uyxKImwxaPxTLRivmPpjiyGTTdqR=aSstSl`P;=XgdU=Qp<DREMLxhuAqmoeuy_J:UyYkq`pPJqogUkwYM>ypPhVrTvGhNv`VIlSJxvkEOgapJQVgaNuqyAHJrYT?mXt<keQNJpQehmtdR_in>o\\IvpHNvlv[iA`pOjCWu=@jqn`a_tvGgcGobW[]GoGiZGiu]xwk`tGnr`FjEofB?umqv@wuWAa;avV>jAwpCGvMW^mnqf`wfQhRGwPynyFyI^y`AlrGcmosbhiIpxgwnXvy:NweistYmoxo[`xYYuNa]w`ncpeQwcw_hvQlgat_aqI^flaiEntoqZG`ttveCI]_W^lgg:ygAi]uGtTomiN]PxlZOuqoxGisOinPylbXo<Gx>Oo\\Xa\\Os@ftWfsOvu@_]KhvxViKFePYodvke`_vOayAZUWiyERUyDyI:MTM]EfkyI_df_HiIdrQDL=c@CfpexxEDUssHWeUmtAaDUica[dlOINYY@KhpIDRQsdkyYUcluhqScGQfDyI:GUTSemaI\\cxAawRur=ssaOxhUrwuXuUs=gXwyExyVRmIOMxbcBXiHZIh]SSgyt=MinsxQMiw[RYmvBaxpWTa_xPSeSgU^kW[qrWoV:]F[AFTOS]_iUgYnQYnoGAavaSua=WIOU=iYyUWe=xs]FdWRywyuwDDyhX[S;EGbABZwCqswYAIgWw[GUVofy]fewHYWtXuwBetaGt]wY>eX\\WyyHuK\\u^hopEQRxRSlJq<J==v^YXHYOFeoglYZxY:LrTLuVxuTAp:mmRTY^LQDIWQ`KlXUyavdLXjMNSaq\\YsFDM;EJp=l;yOZTrXOvLathWwEhvaykqIgvWsxqtpXncaiy`YiRJGUXivjuuOmdi]I;OTGYD>yhdydt[gT[xq;drOhokbSeVEsy[CEOuXiAcN]BqYF`srVYVOIrCmSlYimmedgUvYxUmb]yhM[W[SR]=CPWYnGdw?EmkX<Sf^MtCmWHQiNYeiYyTOuMuGxyI:?YTuX;QFGeTUiyqaytQuy@r_yY:Lvbuuwuyxppy<yVxQveSQDr\\eSOTuwyxvQyTyY:<vlyY:DXnxwxxY:tMUyUvmkYmIDp`QkgpqumYwewy=JjEqy=jrwgxxy:vmUwevq[Yoy`VkZHp`OkgpquqY:XmiyqaqtQuy=xlyW\\??tRWp?odYiiy=ByhkqyumUweyY:HjEyiCPnba_SOnexgxxYh?j@Yyi;=>CPtTKP@wdXuiyAtIbKqyuJ:<FDhtX[P>gdXuiyQj;j>ItxXYxK::po<hRT:j:K\\oquqY:tL;;:;@?qi;Jxw<GUP?wd:::FJ^Rc=rYby::;BjbrdelfsO::jq::QFbaGE]XOvI::B:;@?Ag:xEr:R\\:<:jhBG:RZBktuwuI:DB:BjbrxG:lID@::vG::]O?;:X=byZ?;:Zvu@YyiZ=ZCPN:rP:U>j:K\\_HZy[x=T>J:<FDht<vQj;j>IDJ::p?c;:=>CPYiYy;bE?FmaWKg<:lIxEr:R\\?_Ea`O;j:K\\sx:J;;:::H:`B`?ZU;:j:K\\_HZy[x=:>Z:]\\=jY;A:Mvb:;::c;:=>CPYiYy;J;QF:>RNVy@:sqE:::Tr_<xSTy_xOx[H`fPvfeFxmvwUwiRY`Pwy:NtDO_i>kIX`sqavW[Mn_WXo?V[b>h]aws?sZn[APke>cBvl[qvxWtrWhIqxp_lmwuxiaIOifY[]CHWwI=yssIYwTVyFxiVTydxOtTCW[Cc_QucQupKGkieAoDEwEP[D;]ugCSbTvwTwSlWN=tVQWtiuhTnimnVQWT]yQtXrplpQTWqrLhsMNnk^[sA^;HjRatkie=_a<NvCNvLP\\EF[KVrhFZwvr>FhCQytydENvYF[dqaZ>yE@oQNlXYs?OqLa_gnohN]=isSpxWieufovXqAQlDI]Cg^Ywwi`]D^vnfiQfryAZRIlcW`S?yXPtlyBqCGeg_kDU=YgmEPwHe\\K]DuDaP?Yk_mr]=u;YuB@QIIwHpWTUrAtLqYjsMWXiMlpJmUl:lLVyMR@JDEsV]KJXYNMXdmpKUuEHkido\\Hk^PXPxRWdlFXMD\\WFlSElW><vV\\vK`K=lUkyW]XwPumE\\QGpp?tNViRi@wPqxJEyQTs[dm>qL`EkKIyWeVCLUcdmmukd\\u]qwZ\\OwYw:QqXujqyNcmmWpktUxAYprXPNAvJhMhuvPqPp`WVhjXIp>QT<xJWIYHDSfYTrpmJ]SA]YwUYtUt[lms`LvPPAQOA\\V`tPFDjMMJHLQJDR>dX>`mQAlSIWxQqkHTvxqpYKYhlXinPul?xrBTsHuwlakmlr^LkW<mbanliU@MndxsnTPP`wTxn^HWXypjHpwXKfmybpKpYseHKnyivhyTauxHnu>sqqyCG\\l^p@_u=@^bnil?nW^thxZpxjyAZewuypcynrNX\\eqeSgi[Gxhnstivnfu<WeUXgSnq;AghWbCqxbpgF^rVOsrw__I]gWcqhZxfsbvcvXbtibwxnKHf?>mxpqJHbL^baFlKynJP_?pufQsNGq@Ae]QlCwnjg_^QyKYleidxhsyAZIOyIhyoy[ye@AGuyGwyI:KwyxWbxikQohfZVxmTO`wOgqHuyGwyUNyI:wWbyqkMoxXSyystykwexItyTPNZIuCiX]xnPUowylxyMoymuMwYlYoxRSyY:HWyItygi=wYGHdkg?_UYKUleidyXSyI:IWyIdyoy[yq@AOuyOwyQdyqq]dritQNZHycgH]xfpU_wy`X:JYhvy=jaRyZ\\@vSGsoYnantehiQpY:XnfyAJYkk_eEFax^p^OyOyglxYZw[@uxYSy:Vk;xfantFxMUgwydxrujIPpy;:[EECix]@hvy;Z]<:JQZlbT:birrpqGuyIQIj\\:rfsX=oHG_hL?SaeDMqvWDPetyDHjNqmNYwUTOuQV<HYPPps=UB`NpPQjEJvtYTAJYxnPSgQHY;TvyDyAc@EbaMG;gs^uidwyD[so_ulSRNYYPWbwMs@wg;SHRMSsIVJoVbEGyMDnCsgEVGqBdUxscv_irAmXfYTVYEAYDE]vbMfAcCHUcA_h<AVicf=KbTWs;]u^QiKFipikkye=YhbQq_nvmxvbyxTgntxc_^qBIh`wo]nbiDA=U@cV[seV=BH?ihutAEhHwsd=GQQi__HqGwaOEQQDGgheAVDiiwMW@UEceBHWI<;W=Sxao\\ewmJaaYWneOmwny]pnUXq;@fBGqp@emNhGxprwefn]Ew_dFZ`YpvG`kYZCgtveAiwVeRkMVFmxLSs=Qb_KfQwsp;EXqr\\EULqHjWhViD;;fWmdIc_QY]a`yD?xWhy<peTwcb@cMxrVnpcoxC^ZqHnRA_la\\:hf[nqLwZ=_mpi`J_iEWtHfqq?fpydpohPPnEasupqppl:nnsonGHt@XroXlDyw;Q^F?l]^^:xhspan\\Xna\\>y_odRaco?eaXqL@agigYpcNxckovAW^>It`P`CA^D@dgHtSH`AYd]xi\\iuHrj[BXUfeEe_?HrKG[=X<mUAMFRctE?e<[SHAS;KtCkClGbyYTetmTavflQ\\<yHmxbQTUAtOHlviKMUkaMx[YXC@uvxR^qOcyjQxtiaYwDYl<WX`pMiXYYLGTnFMjaaJcyY:LUeTX\\\\PxQVSDT]<oDHV]@x_mL:=x<=TAXtMTW@crIHkYy;muv?XWQB^]il]fDqvKuhEiiveX^GDPMWYAGHOytaHIMUQkygSt\\AHvQIVKhPexeAifcvLaBe]FlEUFsGU;f>_WDCRUsCS;U_QIJub?YTemZ<yi<ysJynNayyvfaXedy`c_oHWnHq`lobkXunP\\Dyp=V^RHsCpjHoZLNdBOxHafo@ya@vuHnRnpyHqXHc`PkbN^DhtXXc=@_J`rKQoaQhy`l[ycqApHV`:g]xxcgH=pVh]yeIVeUyOAaNIvINurp\\IaqwgmpYcsH`NHyj`\\pXZh_ZjWhJ?yUorTyeC`iAwg_Hwu^n?`w_Qmcw]_QlCV^X@]FacV@vgimYwo<_qm?bWndIgONrcwaM^`]Gvwy[KGXudEudPuhU?VkoGTUuriuDmb^?t?mru;VXYHRQrQiHYaecKeQUsa?To?g`kRraXbywXCV]CW>AsLccU_Y[kb]KCyEGqCYw[f=oCnIRPavtGtMDPvHpfhSdPuduKqUwO`PTpXcXxa@QDpTKXUCev;DRdlKBIvlYVIXtPyOyIwR=lBtmsxY:lnImYNDJmynPa;YtxOtlwyXyvxcyy;RrIdwev_sywyswMyy;bj;fECex]`NwYcGeywsmwy;riYdycrYMUPyumauy;bYyFyK;::Rr:Z<=:c?riY<M=::::@H:bj:JT;xuajn::::Z[=:DF:^PZyxCFG::::Rr:Z<=[hVou^myrmYOaSdkHZQtM;fHwYuIHwQGJ?F?AF^;DBWF[wRJ;g=qcr[ty;r]yUYasOYhy?RNIDkWggyhwURoyGw_f\\whaCXfyx=ysr?yvwYjoxOwi^ovtcCdwTTWsrMVJaEXCh=sVX[soICviYyuusuyZcweuYCespkyOwiJisQeYwIcyMf[]gaEiBYEuQhqyeVmstayEySeIcwudsaEsYSycyiAYQeS?ir:ofySXiGHIevkqylwIGIvLsWHuil_YFiy_syTGgbQVZSxyPPiyqaQjoySXyukYNuqomyKVuOWlq_YvoqoTLKhtJl`xu\\s]=SVyY:`qyTvEiYSXYy]qAiynyQ]eUg\\LVmkeUylxXxEyIXYcyY:prI`wEyus]vyxw_tyTDwbQNZUxYIuQxqm=syoqQ`yboyFiqyAZXXbxQyYGxhplDp_Af`wImuwy:^aAgynyQIll:JtHMHPKF\\mXxnjxXixprYl]uML@Wx@LkimgyJ;\\YEaLPmLQPxUuUu<UvPkKqR_eVdpwq\\L>pw@iU>IXq\\QK=XtxY:`wEye>uqQLTxQmtoy=jaAly=jxxLvYw[tpsDKCEQ^`VwQyN]LVm;:jIZB=e;TH:::::r[uIw::^hnHdjGai`wEyusavyvw_xy:N]yVpi:joPTKir:qvyTPi:jbqyFiA:uTEcBQWrTqiFiqvxjwaHYFuQ`\\yaiiNFwb_`Vo[Tvt\\fg;Web@q:giBhjb^[EQo:idSxcSqwt^]qOkWx]vqidymoqxyPy_F_Apy<?lywtwxrmQkbh`b>imhbgOiXis@WosonVIeYgbwgZOQq@Qx^Fle@o\\id_?^C@]ZOkGYm;IsooZ^h`WWhL_thfpr^_\\IqshlZgkVQeFQx@Qb\\hZ>FmDVlFHfA_iM`tn_`]Hj;@rpEj[egyU=cslMDGmWBexeQFpCd_GyK?FpsGnIDE_VkwrrmBTOT`srUSvd[sBaeG[hKeyeGFe=CviDy?SMeCqgW=OewUIBqFSGwGGeRAdcgcvIY;oeRiwXIII_XV;DAYI[sWCEUr]gdmu?iv?YcdssU_enID?QUhAcv_YdobDKsDWF:GxKAB;AF_wc@MuTIuSMe?htZyp<tuGMj^mk?irSEPdhWXaSi@V>dLVUohmSl`lH\\u\\]KIDR:]mfuMI`XMYW\\trHHobXuIEncAtR=uVyoPpSXTT]`nf`O_Hu@<RsdJByn_=W=qOximRuUXIMoeKiAuwTxLdThmtP]kses>PlB]KBARByKYPOgiudLO:ATulRulUt<tsUW:amPhJZOi`gpaXglNgTqk[Xi`@]Liu`AeJ@[]njrWf?pln>d;ibFanLx`Lxd^>o?YcaNjnXx[i_yVrJquVaoT_ggiawXrA_\\AXhv^kqordItrP^a?Zl>lv@`=Q_K`tpgrV>dAf\\]`ypFtngoLvw@_pv`tTPu`QvHyiXQaQXdgGhay^jIxMPxLPhpokZ`vOyYQBXgsnAhhCwOggpGWccUEcyy;BuQxHqe[YdEoHoKteobDEF;]Ff?BkgfYSGP;yoUTk;b<;BrcwuEfpUc]iWSOWkMgTGtPMsBQESSHJCb]cT_]B`;STWrNGrKSCuYBmCHZGTiYyZcstug;AYKQudegZueQUTOufLWe>sSugSnevIGsrWV`;xtwvTGGyKer;noyR:`PSeXGULLeSIATHds\\PtPMtjlQUIk\\LjcLv;txchvLmV:QSJpYciU^TTvxqjuwEEt^YTXek@mxBaxUAm`ipAPS<\\N?=s_]j@UUK`SRHSUpoUimjDQfuvwxN]uRNHJFMWxAKKuWiipEEsv@UhhxRLvCaNI<wk\\pfyOr\\vmIQLPpdYuO`Qo\\kpLLFluA<x`xL[eusiXEXqeYuEHkqEk>mULmrEUmlawdPK[lrgulDTN:TP:<J=dMa]Lx]p;lVtxY:PrByWvXm^DwtiymUuWMucITRySpuLCYVKPvOlMQpTPhqKmPH=UZ@tSQuuQJg`WdmuAtmXeToXWgUyWeqO]tFmlLQUS]LRynMajlUSNlSD\\vCIKBLPc`KZDVRmw^pXnDX:=MXaKMePGLOWHUoy[CwwoYowhbPouPgh>glQ@gEQ_W@uX?i=v^<Xg[X\\Fwa_aqyxxjyy:fkAgrNFZafmy^yqYmxqyYFx]psYpyugsyuYYBxcHW[D;wFWyI:aiqYuxkyYGx]osYmyuiSysyI@ob=NC`qcyiIIiyxw[yYoBIMyy;rsswqiIvj\\<j^XxaxY:pMmyY:xu=?gmynyAZXXxywu=qyof]NFZa:::v;:::v@:::::DM?=jypsYlI::xZMA_ZxZsYty=:::nkxIgxXrl_asyiNIsvyfuqnP@^>>`yAZQA]y`xT_tqwy:Fx]IhyAZVweyUJeCEyet=uy;be]sYKYg;g=qkehoqhY=dxiey^PnIDKWiwy\\wUToy=JcW_tWiLvrvgayAZYGiyAZZgWyI:MLutyDxY:<s@Ywxqq^xi\\HfhX^[ywtYyIYyAFgYcLQUg[yosiYuxy;rocxaoiCobkqU]SUWqv[KGb[SIKBeKUGKu`Cx^KifCTtScW]GqCW];ffGvWgt<OIOOgucyvaRIEtTID]Sf<Sxcir?GULED?[DB?g\\KC:?g\\>nVHdNgxeH^bHwLIuoftOQpEijcg_^Px^YZ]>^qfdBAsBav<>h;Gr:n\\Sit@Wc:faC?nJHZ^^XGBxiUcMeHuyaAXEyrPaHUeWMsCXOsT=VSme:sHKCSPSU^CEp;Y]=XQchGac[=eaUTQ_W^YyYIuy;r;ECsYwVebuEGcoXqScmstMarqIx@CXx=Yn[VuOcVKBrCYV;dA]xDIeUsX?Is^yVsOyTMhiacTwwGyS=swSABXqsMorWgYIoy@]fe?fjYcC=tiQhvmuHmupqwpuctyd<ohTotMKFIEEckeEQXKag[iHN_gvSgueBreW[wRmwRMMF>mYPsfZkMCaNmaTxaoy`rY=yOmmhTYvmMIpLA`rwXXFQPWEmvtq[txgQS]mxm`kkMm:lXUxWoIoxAWxeT_dreqY[xQWymDiNZPJD@OZPJD::jJ@PHMPmLStmtopodXlrQKqESBuUp<X=YnG=LMMpQDYwtx:HjB\\XoiQbiMUhshlJFxY:HxuMoywooxy:Ftc^cyNxN>jXptQyZoQkWx]vqIyVwZIxY=CDywtgxryI:MuNouDCfRsf^uelwv@iHwYV>Myk]TnYcN_InOTnmR?mdK=I]SFFIBhIiiuud_DiYRrWWcSWtylThj`Ejg\\nQyuTUwBPLaqxRmTSAv>@P:uqjTX;DM>LjmXJFpmy_y_vhtqh?@oromyAZ_gtFPeohs=PeA>[\\okXIiggt\\`^vOxun^qa_AOsxGduYpu`AytTUtLmGtGIxkCr]Wg[SvohEIxXqHGWbM=Rjuc=qcwWwQYDoeELsWSEecOu>qxlwrdCWLKGFKv[WfpkDciG]SgF;uUUFkOYpuS@MB;IfjAXrYb@wsi?yTUWAcWLSgIWh]wIY_vhGbpOYioB?sbuwYvQIxgxkoVWgGNOuOgvlauUIU<MvlCRqeuZ=xBxVoxswymexY:xsOxPxmjy_wc>pfhkZAg\\xkROaE_sP_^sX]qF^sop?hcyAZbnhHirBAa`oeU>]vv`>dyIctoC]Qd=Iw<qDtixWgdXeVeyI:cfvMTDOfGEFSoVGutpQb;Yc@WWO?HreFCUHjWyiaWwyUx_igyI:;xmwij=vcOIs;YPqtSxuYhY?TXpmu[DxamKnxvYLry=jSMUvpna=suqNrXUSTnbAtQDy:MuK]nk\\j]tW>aS=Lj>aNA`tQaXy]L;Uyu]oY]UA]LixqB\\OLilTTTGURKDPAykNhJTQhaG]\\?dmhl:?sb>qWv`pqii`mwOkUyaoIyyAZRIdwimfxiIikypy@vipi\\?HodO]WxxC`xewsH>i<py\\YeSigaQ]YGuPXab_wE>_THg=ynTpo:WlEi^Qx_kPbJpkeOt@?hmntEHjCyy:vfew]mYviwY=vauY[yRpoxksIxqxy<xmxY:@phPPDl_IWyu>eyAZYX]y_yFZbnyHqtyvv@yuyAZ=vauQ[eA_\\@vlwiSQU:j]TYu@uy=JYTmy=Jvaky=JfYofPnEHjCuYaUG:vamhpIHykypyAZ:]tPsb>QyfwgUf:ZK;ZyoxOntKgb:avymTyrv;r]SYuAeysUUyI:[yFyI:[ge_g\\Ws;ISyuFe:yewcjmhpI:=vafhNHdjGay^wg=<:rbqyHk<:hLPEt?Ar^sS:ZY::FfW;BP:JN:j;jo;::X>:ZRyDb\\efU;GiqYGehhGdsYSFOTMswR[uNkhXaxxeqOuqKxY:@S;yLwMyYdYRPo\\hYKaT:LubPN:LkbP>RJyuy;bAisAeYk^xMNdAqy`x]tYvQnyEPeDxy:nyvngyVwExy:>w`fnIhyFwaoqrifyP^p;vrvOceigyAZZguUwy:FcbVn\\ydUK=j^PnqxNk\\oqYrYixqyMpqkLyqnaLQiW[mYoYk[tYIMty=jb=meIKrYyxqqmWJpioVUqdy?t?yTweyCRfPxPTRvlxyTPh`PiYL@QKUDK>ula<yxUSmPODAUpMK>MX^akxuWW@MQEtCHYjPy]ELOiPE=Moeq`twH=QBXvrhK\\XQQ<XS@MHYqZAVxilU@XiATUXtjqMYTXlaUV]OXat?UUhdUClr`O\\QGhAnneW]TobIqu`xmiwti_tbAw\\Pk]@\\\\PkbbbBc]U_EXEcR:=VdkyI?hpwv^QEcOiQqRnYIGqIFERgCgoKEv?H:OcG=C@sd:Id:UGQKe@eSmcgwih@ED[[GQqTECWvugheb^eRqggB]cZAvV;EWqr]UgT]HJmbPWS\\CGTgRDIGtoVOWV`GEAiw^Me<CHZwVL=bK_sTUhiaCQseJyR=sGTUVckyNqyHqiAsIGAFNmwFmiISDaSIFUyqiggSySSvroVwMghYFMaIwYgDkYmEur]GvYhk_uY?xL=yj;EGQew[S=?RRiS_CIlgU\\wsoigWkSqaW@IyUOE:eyLSUXMC]uYnsQgdreuK_<pkPxIdvL=T;dRN<T;dB:r^[UcGwGad\\;R@;xrygnmwEIVKYUExJBxiJQfoqoM^]=N[?pjMnk>yrTNlI^inIwP_qw?oCGf[YkPiplV[CAjphpNgghXtBoh`nuuIjuvjuipcHnc?tcQiGonWpZMi\\nHcRF^kWq=F]AagXxiTfmSQoqIgqvuIWqtybmv]vyidwmoqxy\\Hx`d?lc>wgow;Ny`O_twiAqxcxy:veewY?gN[vy;Blgt=oywkgy]eOovFyS[YwBmFvIRZSIiYSrIDveIkAiO=fuUtlmRuch:qX_cFRgvxSg\\;hx=VtqdGoeAuvTKwLqEA;rfWxo]tb;VlYuH?fC_fE_S]WCuwg=MRlGXPQht]Dq=Bo[V;KSJ?dDQSbWwB]rNabOedTqWlOYpivcKeHguaKWIeIeECAqt\\qTS;YCEGh=XFCdd;RKGu@qvhsBS=YNitPqe>ArF_sZuVcWvIoYq]uy;btWwXAhq]CvwyiSGQMe@UuruGsOCSmHCGtIes:ErSYvImUJOS<Ay@ifoSGtwxC[XWuTMSGGuhNQs`kgfYI<MD?;VeAvlKSAuU=]T\\gukiTnCIvMYneWQwct_Yq_HLWeBQu;oV@ctf?rc?F@AuIod^oxy;bjgc`qBTgehCBnMeCGC\\mXKAgh=Tf=Hqqg:Ay;IsBwxgsECkHvuIdQhAqryHNoTvdmmbhtnuWQ<ucuTt]mCiNdyl<prTEviUKVaPXTuCmVRPRgAL[QSLtUjAqDAV=XTZLl;mOrQyXmvU=knXoBqNT`PHDs]QTWHUOEJBDkE<sJ]r;Tu`XPfXT:mTx@nM\\RPlYLTSwmUQEy^pQETr_imSpYuulELlUIQiiulMJNmM@UyK_tLAtT_m?^sxGZuHxD>i@xw<Ick_o]V^g`yTH\\e?jBA`A`seVqeVuLypAYknaqdhyYPdSF^@WwS^\\^_mH>c?ahRna`Ppv_eyNv@Gysfyvy]tIab>t@vy:NrCGgyAZxNmIpy<fpY>xLPeyws`HnyAZ:hoRwrMix]h\\PG]mxy:F[_vnvQydw]rQ[Nyi<Icc;Ify?RgAeRSVN;eGyUrCCgyI:yVMAty;R:ot]kYLUsIIyn[ty;BjgDeSUNOFEGrmsICgvaaYtKwY;yD]ty`::eX]OVFEDZmxyLRCIWyqqTxJxQJoxmj;:]WfGDD[w@yCv_>J:wbva^P<bOgCDEh?ArSwi>QtMmIwcxI[Y?Kwy;B[_>Z@irRNn:agyAZ<=w;v=:Jf\\wKMKfpjI]y^:jKuYCh>LGhtGLKkhr:Huy=j>:BoDF:VF::R:xB:Bej;Py?PvYQWeEXNtlKprPlYSUP@UTf\\UV`koEWGqu=DwSmmc`tyGfryeRot?AqrPapSVmUsgbpCcv?WTgs^WvFiW@UyoeWJ;GxyvKgXUWeUUsCefOgHCoVRcs=mbvmvLCclkb:]HFidp;YRgWFuRD=ffSX?mRl?HdQxA=DNQrt?uhAVhkBlChEkuy;biQuFWTvGR\\YGPwhgUFdExXCij@Pd@S_tP]XViijniwXpjtdqLuwTiPJaoHhj`TuYiUDUnYaxeTRi]kEUp_hu<Uq]]kG@OA]omhJVMRfakIlpUuywyY:xwFyMveSY`wppyuyY:xUSxqrQmV=xI=k]ExqlJfix^hpPXUg=sCIKUpXLImN<luEOd<Sv\\VJ<xmPkVyrsdNj=qy=JpTUyiyy;::lwklwbyrsPNZ=xqtLJiqfHxehMGaKRd[VGvCnwAfnUwkwacyfXpYEPuJIxY]YsUum]ylyY:DwvhPYlmv=myXW>xUteodUl=xkrilPYuxIrtxpxMLKyr>qopxUpikOyqnQlDpuX`rktUIxY:xTXyY:<UuPsy_n`XqyW[y?s@Wwxqq^xY]HF@KrYyxwVLewi>qpgtiqvEX\\C<tRCIOBAvEyrmmo]MRd\\WvHU\\eoglq>ml^]tgYveEQ_]uBavuQSH<PtIJAAmhLn;IRaIq:erlQUsMqaYKneYgqRRmOqEWqiSV`KxlU@XXMMj:Itb@vP<qR\\XsTsnesbYWGqmy=jQMvoaRJuKo\\mi=qamKdDrF=STA?cj\\J^Xx?dS:doOxsrYo?MuAmJZISoivN]jFuk[PLQYssTqBeT:`OHIvGLRF`]]Gnna`eykP>gJAis^yWgaEir]h^aXuTvhqHlSGfUYqk_khpyR@a@qwt?d@^sWykZOh;wwXwckym=qi\\v]G^icGiyAZCnyfpt=yby`lSiy<XsEI_^Asvgq<i]ZYf_qsgAuiqmeGtng[tWsXwpLpvDi]@_^DxcfVkgQa\\ism`kjYp\\p\\X>v]opmoekGxQ@bkAdrig]YamXvEqjmpyAyqNTaOsoMuMGsJEyuqxhIwlsvsuG:oUqgG=Ms]Wy]EiNcdOshjsvYKbyeTE;B?]TK::VrNYtdI_Vwo]fp:NhTPypxn]io]VcVg`wPjxfno_yDwehAbFXaWfr^YdyAZF?e]?qeadZGZVwl<HeoWcGxe>Iiff`EVpOVpoyy:nbAH_XntbIdU`sO@cgy`MotiHwT^vQqyfntn>s\\akSIgKYe]^cCfupylIV^@ii>pbWQx@varobC_Z?^ZTQhofohipH>sCykxyao_cywsTyy:>wNpnYHyDVryAZXwxYnsd^hyGxuIoyAZQQuyA:::LUl\\OJEKP]KH<kyxvvMmblNAxM[yqALyYqJv]roUqeXWcmnPPpSurVLjwToMTsVtMmdJIXn@<kxIxSiMqhm>=V]uvCAxXiJ_Lwi=ocMU\\UuWasfLlDQpBYU;HnBTRkdM:eQepUM`maqms@v\\=jaHpMaXWXw;Io_PwKERkEWjLNR]Vvqj>iJALRI<tIDVNaXyuJ?YV]ASvUriQvuxomTrhqLjHWihlmTR>PKU`yb`uaPMdlsS<kvEpOIS:QJ=tvbuRgDwf]stUlDXXtITpUoiHylipy=JyXOxeLpXJktLjv[xv]uawLgy`x[sywIfypY_GXyOvlvIyTwy:vuOxy:N[xfr_wYwcOywwEyY?X_;FuwwnIByiy[wyxeR_?Yh=YYeRoGE\\aFIsb;IbyqTC=UYOvlwIYUwYYilyI:EfDohPAc;QtLeURKxD_bZySBUDBEssmcruVLSVyMeT;FD?g\\;BD??:::::xvrUkEujUAxxin\\\\UC]nJMWPTXTAskIJsllBEUElO;Em;l[\\>oboiRvpMyeKOl]Adyht`_t]nkCnnw@hVGrL>qHP`Ng[^I[YN`pfeq`fL@bovq?cRMeqwRncu@QBs]HwCyfmTrGCN_FL=igQW:iYpyGiuuDaUkob>kub?HVMuD?Y@cI`EivwVrUG[WsSSFDShECcOqjk=Q:LP@LQLTkD\\vYxrcUtYdk=mXexos;ilN<MWpMCLkcMyOipNPubdQrUnKHMVeRS\\ykimkdjKmR@\\l;@RgxKoXuyomkyiYQfrxskHeywsOxowIyY?x]`wPsv:>eHvsgqdyAZmquiVyfIdpYoyGyiy\\wqxe^kui\\Q<xGdJYZx:Vk;fn]Ik\\PlHAu^Fpkx[h>h:yy:VsvhpD_asA@i@Pwghuo\\pPuLIhLnHlqTL`DM]<txIWneLdyQoAtyookvibY[GGZAayDWWyQjpgyULNvQkwU:fbnWdRqluFviQYY@NcewpjyovajhwqeQwIgyMf[kw]IviQquy?uuNcyenaTQyW[yEsASWyqiDoy\\heG]hQdRQwSWb<f[\\?iUacMPdjirgioe@khpxsoplhlgfvHwjvoc:NwOOrJha?ogNYh<xdIPeGYoOH[rFsxnrqojo@_ohmHvsLOkmN]VQbHXf^V\\SV^N@axi^sVdhqnnptsx]>FpMi`Wxd=Qhinlj`sQqpeWufYxk>aAFoUy^RH[wVuHX_hPeK?uoW^Ey^gwjKgbN>sD>_\\@jDvb^QdJqb@?_=FkrYm?nwaxGkiVgxD=vUSgQmu?iYNQS>UbfAwL;CEywVSX>mIRwfFAXHMINsyMaGfyGvUfmMvBQiO[vpeO\\YhmxfnGja_ZdpoLaorhk=P^A@fy@rl?nqYi?O^\\xoWA]IQe:VxIvZSWwxF^Mi`Uw`ky\\D@vLAvwhknhqD_dPvtmxnOXyOyip>\\DGkEFZRxthakLFafxuEpeE^qo@ySOveqlkyuFp_Pf]HfxFY`XQb]WlgWqW`o>>^JHhHA[ZixixeJ@f<H`TPxY`kxpZJYt[ynGh`ovl>Q^[ahuGy:qyYatFVevIkUfyYgm_ilIAxgYuHH`H@_=ftgpk[ockNxIhvL;mfyKiyeTEL;FD:b;mweybtic@ie[YICcWUiw^EbgaGD=RRSC[?CfIRd_tW;YWKrTEgeqSk;rqkyq=tn[e@QSRWsb_cg;dl;R^[sBMg=uYIYRHMWaUYbUG<IGGwxlyDhwGSaHiESrSShkDecwlSdR]CyKCh?hZmECcYAMh:MGyosnWYecY`eUM_tEYcOexsqYU;iyAIF=bBKIHWVFsBR;y>iGasf`EWvmb;UWXAGxusImUyAGVWsUatgkHbEUTaem[emAEJiD^WXi_wTiGOqRXYYloioUGDaTLuueQhysRlMXluHaCuY]QOyqeewy?wN@o_Y\\g^vmfri_`dIpD_k]Vu;ig>hi`yehQmLxarqyNyy:VwgyinQcN?nP>v<niW@_nQZIn`eqy;xhy`mY_ylwkpVW:dtoeS]ySKqTLeSDuU\\XouhPnDSBTmOEuWDR\\=XO@rGDk]AR?qvryk@mqR<tnpPOOa_xoRQl[io_PmSNnk_\\Eak@yuyn[qv[N`fFP\\:WZn>jVYxhwqby\\uGy?yy:vrbVxhwQ:dlHuuWIt^qmXmUGqrDmuuYOcdOgPvXlV^XWSTnj]K\\XMxlyBYYs<qZ<lmPKihV\\ey\\twEIToAOXDvcYoG]fKHv@Y]qAmYqsMn^lNoIou\\OksFfGGZcpvWyiJq_qYxExYWVNGYqy=yI:;sy;RvOhmqFkoW?sg`;VicXeSuRaxsWfpqu\\mgNkBIIYM?YG]FlgDRuGOsbZ]c\\_vnudnWeSeXBqDgMFwmGsGFuUdgucaotDqcvwErWri]CjWXJAC?=rWUhhyI:;WQYiy=tyHXDaqUyOtijXyY:\\vYlYsHt;Wta_th`hRi`EF]ihoOPe\\qtu^jcGfGNj_@lWNsHFv<@r=FlHhp?nvwHnSGcug]`Yp`Hb`vmINuiVfLPwjnxKAZHFyMVaK@c]^[:_]FDVcR:YUmowy:jFtpY]HvYhLYxKB`XS\\q^lMcXpNLtTYtgMJ`ItxYOblwmHS]YjXUKiMLbQtbqxtarThmWhoV<WWqUhiT=<JrlRADYRPO^UnH`S:Gl:O]XfgQiy<vwy?ay@y_q]gwT:HPf\\q[IvuYuUUWEYybImnXwETmuEsSUVK@rpAWGpopiu<AJwIxIhlmtp@`nnDxQuJhayGQmw\\kDyp\\LRsxnrlko@qRdrVLO[lVZinVUL@qrXIq]eu;Xo`;XxExY:lkKqVWyI:dtudKmIs<lVexxyhpVqwB]satKferqYJ`ivltQnpw]XJmUo=\\KVTsywdLa`vYmwycH_p>YwiWyuAo\\iymi[Ey\\FybHydJhqkwsn>rYhst<:A?:BeuuDEhywRoWccggfcHRcVjiUVEuBmY^CVL=GX]H^uVpQHGOw?AbsYxR;FWWSgUfBgHT?GheHWkhCovrSIfEXGcHT_xMIhu;VEgv^SSh]tmASZ]FJgBIqxeoY;why]uY]ilsspY?ZVp_CGZCfwByvyAZQYcqhy@`ybPZyXmowy:>buxuHy_xIaAWmo;ZPo`yAZjxuOX]y?uiOs:X_sypYs<lYkyY:HhswP:fl]wgui[sIdqhy@<:ZA;:T?:::JD;:e>:::rK:ZP;:::^L:jD;:::X>:bO::::c>:fL:::ZA;:T?::ZyA:y[I<xuvYjy=JAQo@yUpYmlUniUyGDYJeJyqpe[ly[yAZVVNjhnY::jDiwh`vpLmoPTiuXvpweTLBDMd@ry=jPdLfEo?eKIhTHdPwPQ><TteYcPsXTqBeX^`X^pMWHpR=TAhMkY?T:rA_jgyQfY]yenOtDouX_rksmy=ji`qy?fgY_yAZCgcpoyOB:[V]ipx`nyOn[oO=yuoqawZc[ewP^JhHrRuclqTAutB_dnicLSh=QTkyVvUSvgS\\YWDMR<cFpwDfmyKivEoigAEqSSbct=mT\\Ayiet>Wemoe]YR?ufrUdFUrQIDhaxsWcZEUxCE];VvksH_FKIsbQS;;uX[r=Oue;YYgTQIujgcXEFlUfEuh<uDCmEpavbcR_iTI;T^st:WXVsfaewIKepwTwcsxMUywuI=vhEdCEdEOE]?d\\aCLKDbEbbmwm_BXAGM[YuuH]oufeWgEwquv`mh<QFXSTVmFFSiM=TSitByBqSEwUWEGRxeYI?sl]tXQthAsV?BMUeecFE[hu[dWKT:;CFWH<IBdcS:AWKGSKmB?LT?DyyprIxJXLjImJxapOYt;MqTLweTnY]uEDnZmmZylCIlqpW@uxhuvxhpdMlX@meiXiXlrYs[yQ?XSZukSlu_xl@xqopROtyd@QXTpqxM_=smikSiuuXUg<JuiVy@P@yY:DuYPs^@ogMP[asoMuydLC=R?\\LK=B:hpx`PdUwu=T>lSH=xCHsqmoEURMhnPyO\\uKM`QehlfLLE@sF\\K:DKd]VAmxapwxAXB=Kw\\jZyv`UvAurthmPyM\\LpcMtdLWqPx_hMPtTkQlBAUXaljUUQ`XUXyBts]@oa]YOUVf]wnyKALMZix<Dx<hu[uPnlxkXVF]OHISmmk]TS<TMuMJlUXHIlaQMITrRMunXUxewQPnYIXweSI<jfPmShqkiK<]QmUW_hJ\\@qTEtRyRr<rD\\MJTumMS;Ij;Tm[=s?qOB]x@PN<`PD`PHdpDPKZPo;<r=@Ncdyb`lsavYeX]ink`rAuiowctYyYgyLfl?fsvx\\Tflt`e;_\\bApHGr_>bEIl_AvZIxVqy`wnIpyy:B_axy;RBKtYQiqAYxEXO[h=AerIV[IUvYT[ifKaXS_gfEUaCw@[HeOU=cGv;I;wrfMcxABQIG]wY?udTieBUdAud?WhpUcIohpqRX?SWUfAkbcSTrcBryRFGrKksNUiQaWK;RXGsh[yhkDoCcikUWubIGSisgaIYsgFXCX:YYSow<KFZaBsOD>myaSSSQdDwgwWwjYDvmvMIF>kiO_YsoBXAyYWcsyhD=E_StnAdDgR@Sr][g[Oi<CyOiTK;RXgXg;y<QYmARLggZ_yoqiKaSVUSyAXlscKqt\\[fcmdoKdWOxpkB>]g?]dBSi=AxlaDPosY?xiaRTwYAeHWqYQydKqUeadKiFLwVL_dOkT^UGrUdl;R;kFiSD<kS:kdGkdZIGpKyBuSX;w=wCvyEZISnscOoHcYF;[xKuCu[HmYeuCW_UvlagFmE=CTFEbqGDssHPKSrQb>?si[i?EwW]UWUUCGh_ggRueQWipAi=WeC_fwms_QX`gUuktrac^OrhaVsYglacvoYFmRcsBN`lP]QkxXc<Y=AsjQSdUKaeWDDrPDN^LkvtRBOtjNsBYbDGks`fPodFPqJH[@FpnxwAXlTYwPUqwxpOe`wu`wrbgy=gGkUGI_TQSwHWV>gRCORtgc:KcjQHn_VMoeAKs:cR:AiXYejUeSohlOX<eU=ybG_S@]H_MT\\yvl[w@sB_=yLmHFGU@qSCWH@EyLWiycbtiuWoV[UyjKY[eWDWepQtLqtdQxHKe?=YRSsjHV_HN\\`Y]\\lQiUuHPLdtwyJp@OZtksXk[il^plPlpQQJJYUWTuQiQyTwrqXEQPXIKLlPLERX\\w[Yv_Mp;xK<<xdpnm@XUqTN]PrlLWqTPeuXMvexOgYo@mlrYKG=P?QlfHlgiLPaPG<t<]wOtLhmS]EtXYnHpQn=tAhlbumExO\\itq\\thaP[]lkxUEDyfYssEwnpvGQVODS:il]QLQ=XwpYc=mZ@JWYU[ivOAwphLhhOilOh]wXuUPQpYeuUUNGaO`DUaET;pTYhnD]olMpvIl\\xLC]ntmpbdR:tRvplmwfpxprXZZplJFrw?rhglR>pMyqby\\axiZa_yGvPG`??ZQWy@fmyEJuwHyI:=rRyI:ObI=xcyEnYcMyI:;HPyQ[mtb<nDtyZYDY;\\?xRRapiMy?HwY=iy>xe`\\JgZy?pc;Z]d@iUy?BwYIyEr]siDGXKmB?=rQSi@:BDqi;uN::ZkHl@gb:vD::nArEJfJP;I_i:k<Y^Y=jO[j<:A?:N_?a\\;vE:JNZ:::]WK;:::t=v?BPBe:v?BPr]:Ze<[?:HD:bDbL_yjYtxuRjobSwFcCDs]BUmvAMcwQWVyUdIfykWkyI:?go?wiyBtisAeqy=JtIkcXNyUtIVvQnyEPe:Vvxh^oopyAZjpggxy:^nNHdkY_gTyAVWYUyvpaHpfvh=yuoyxYpxHNty`xNxtiGvYGyBrYiHoyfxGc@?iIwry;resO:<Uuvy:^n`tYOry;BlGtttUL?ZKA`PY`VinkhtLA`cYc;_o:IkQP^sh_]ny^nyp^tnFsmg]p@O@wsDyveTUtVJuS<uypUYAiwGERahq;xS_PXyEl[PLUqsI\\rp=rwun?euoYJvAx?hYlYY_EJZtX_ITJLPdivVqtMTQkeYyqqYHkLynVmSklSa@jaEjJMUGampDSdlpO=r[uMxUwM\\rTiWNyledNbmtKMwTaPB`nlMMimOe@YlIRLtt:dwS<SOAjm<l:=rFTSdmO@qtppjvQPA]LgaNLLO\\PjF]Sj]lH`nXPRsXWyyMrqqPmXUaLQeWiepBTucIpkhsOUTV`v?LkvTQZaY>=JjEjwPOvly@pyJElaExPuouqOpxXUDuUPSk\\KI@M;<YZLJQ]KR=Pa<x`PatfiohjVphPo`KYeT_ruXf<`ZKvrR^xO_e:naOphah]oYZDqae>iAXckq\\CXg^xnA`iGGpiInswgh`yyfh?fpNP_]yscge]iZK?vcWn_VbZGaWap_wjZ@gxh_jqleX[yAZ]?yExbuXcvW^sw`BPbk?rvFx:ay?`h?wb[OkBqtvx`\\XgxGePahWWaL?i=`_`OxLIaDXZF@jV_]a?ZxQZWHwwN]eOyni[HWc\\ypHXe<QyHhj_Xre@wT^_TYmIa^qPaJYfDFbL^[OX[^ViR@skq_q^f@v^>NZ@wnBhxgYcB?xOgjfY`cOu@XnuWhaWfW^rBOrQisrHm\\Fe<wgf>dQf[qpiB?]VQaPq\\y@x<QwLQxQidryicHbZPgKX_@QxVIyqQ_BirB_envmng\\SFb?pgCVy\\Hpi_yeVvGxZ<q\\x?]@PtAydLaxS`_h`gi_glyp<Wgs_yJi^pPfP^bfNoIwl\\>`LWu=?\\;^eC`yivwJybIWnrQwgf_oXmIg]dOq`vmhflqg[kpqLotpYxn@tC@l?FlRIoD>cyF`HQtrGwVwc?ymK^iPVqrYh\\qtkhtvV\\xFoxFlt?fkf_sHm`AgVoOGrLgBBAFoaVQYijQXWwVIiDkUTeMipEgo]WVqBQuRHmTBCVkkB\\GSAQf[=bI;uk=cf[SFOvjkYmAyu?raGfQacnifkwhAos[gYGuyimhKQw?ofS_ICytEWEuWYqGhqmwrUgScIqIedqtSMHMeipOcLOvpKvNySqyjLqV:L[?C?]<j]qyn`WOYYCmtRlUC=Q>QrGuK:UPDUu?lOlQmwhvnlQtXyEXqRhonuuHHWgeXmaPfDl]LLJmYaiO@mlbHUqpKS`wXdty`JfpOodmLYv?Qu_`PjtSoImqPpoDljqtpQo^EosDRIl_F`nGvq\\>lDFpvvjAHlvXdw_]UvpSiuHQqHQpsHyTG]QgyH>taqlL?nBWwKAcUQl^XjeAl:V^JOa;nkRXoYWqGPyEQxbigSgnhfdlXtvyy:F\\EYtVPtLAtdG\\C`rAwYybhIWyuuewY\\OTTyI:[FeySwYYVsirIwKyI::::fo:Fp?_\\JGZ?_<:::NZK_eGwy:vk[Ytviec@ytWvC_tin^qH^gpd<y]knuonpqPmaOhFAoU`ikQjDOjNVxyPgphbahr_fqkiZoilgXkCon:g_Xg[E_wAYsmgaVAdbPu^_[lo^LW]dGvmhl:av=Vt;wsDW_Iawx@_bQuhhq__ncG`u^eCOo?yft^eN`uj@qUP`:pk?A]n>bsOh>HhMHqr?aYYqkqgOXgbXca@cQpfky_LxsfIw@FwY_hxvhVHp<He[QuYvv:VxU>jxVd:C<mS@sRnwfasi\\ay?kyl=YlEHigYTCC^CcuiGtUH?awKyRpEY^uB;_df_rm]RQSWriFAOGymgp]y]CxmSBxiDOowneUPIc]Wy<yVC[H@AU=KvRmVqoTT]BPEb`SC]WYCwWO=SL;RASfvCCNsgnsbBWcsAcnqfiSD]mhTsry;rncvi=IOUBwot_IfEYCRGFT;i^?BncW\\iGmUF^_chSf^eR_=v@?vgiI_oRo]immGeoxTouGIFyycAwvgoI`kW^IeiiDTAEL?d?EBNGFCYI@mCj=xt]VL[gByxCsIxOyIkY;ICx]diYTx]IoyEvOrM[YeYH;Qu<?yIKBTwXBqtRSe`EG[irdQbGGI]QD@uUcqwrguFqDPwB_Ww;abiYTx:HTxxusIXNyY:<XDxcWopAfnRn]N`eHF^`_rCY\\?YhM>a_^iRq]jFhoi\\bFwQ_yOwY=S=ySticvoTbcDZoDD?GZOBD??::>^yxy:vkUvktQvyAZtI[cXfyAZMw[wIhExy:fbghbywy:n]qv]ouyLiLwrxuAHH>::t@LTDkP[i[qTfXq[ygq=y?Ymi`iWyIbC:JRUALTMwI:w?:Ft?G^r^o:Qe<piB_:MynovXMHg;yZstsQVGqG`YCUcYMEsBUeQsYHEfc_TnqhbAEWWX:CBdKX:kEqChEIDCkSkQHKubMIUJwGoefusY:=Gl[WmGGQccVwdZWgggrMaypOWdMhFSiIotdcivQfg=DNuygIFgUrE=tfQUUOcmQCS]FymH`SBi_IRABCWfYMEA;YSkh^quoISVEwJ;yxyf=wHPMHC[VkufF_YP[IS]fS;ek?iK;yU_CdIuVixViEBiXYQb:mV@OyKcCq_HQ[wpaYGQwuoTYyI:wCcOFHEGcYXgKCdOdk=TKcrN;bcOthGf;osnKIGoGtIRE?yAORjmeXeUQgctutAmDR[bqohKEfcObIcD`]R\\Au;IrT;UZ[FemWH_yaMvA]rEACviC]cSAWeoqtmaSLcXUAsi]gnYSn]D[_bDmvJAHfQC>_etEI?]vpGyeou`yCDeIHYWCkYmAyKyS=swSIwY?XC?InIGLyw[Uy;WDk;RX_cE_ypwyssurIGHUG?whniDJoeUIFdkhToSQugsuvXUUYQeDGYHUYcmtR[EHKXSCcA=DAie;Yw;ydPEYgYR<]WaeyIYbTaFToF]=GMqw?UXgsV[;hFqh^cbaIBmEFAUINkTZOVdyI:MbAMWrIyxyC]UEn?DXYVO]W[oHpSV[GRSEYb?UXIHmyvGwXxMTb=XI?uy;BmMdiIgUIgBgFdMiHuf[EWRebuqVXERuSW`mXIswdSSU?VJAXD;Cr?f=qSoyGFqEouCGAuAEdCOyFODtEBcOeKuubISc]Cc;BaAFjGg:aW[QIQibkueLIyx_rpAhXUTdwWoeWdSV>oD^?XH?CMccqQU:_ijiT>aWw]DDAsC;Ruku]EX>oXQUvDKDgockgGVyHRGVSAd>]by_gSsCKkGtqd_CS;IBa?EY]snYwSiXGyg>OugGesoYPgrjoEsEdf?SL]RD;yKuGpMCA[fFmHU?I_cdN_uxUVTqueyVf]HxadJQFKcg`ySHWiUWySQudQx_=bPmEp;rmcGVsgD;v;;BDsRwqCd[SFUDP]YtYTN=fNEiCWImiD`cg@KCGSbrAsy;r]uxNwiiixyLnLMmy?sPw]tyXwYVatbyI::::RO=fROFDDJ?]<:::tjytyBpML\\YIyX\\MLhpYUux><lEYyYUl]eRFhs?tRAhWv`UpYQIlYl`ximJxHMj<nUqP`TL^QKBqW;yTlqV@@Wq`Ys\\NvXKHur?tRjuRgeR:HXtyY:XRGQJAatMePBhVOMMG]P=iMLTsqMQrPVAxXO<LVUV\\mJZuJViY`Mv;dOgyR=MqpXNepQady^YPGqNYpNYPOppPvLpjAR]ujpQTB=MJPruHjGprp@OZlK\\xS@lqU@QrXyUXWGPVxEW\\<uWmoiUK_Mts>]:Ad:^dW@jDvZ[>e^qjg^`Yw[n@qhoooV[wwe>q\\tinFyk_nr]h]diy`hgkarLH_`Ob[`e=G\\[^d[?lO>urno@Qk:VsThtf_pUVonOmsW^RWmagm`VxTfg:>^\\O`NWfGHuvNxCovo`aWwnryiYolLYwxQ\\`VtoW[]v^Sywfvg\\Gc]p[:fhUVrhV]dwvenm@>[`@p>>\\N?`wvkDgcExmtxqqAs_Xg;xo[xs[isUFcnPtnXwgqaXQsHA[giw\\Ye_P^rFt<OoFHpv>ZAn^ixigGgY^xNFpyAZ:ajye@GiwYwwidvcRUyduYGsKSsABcwip_xIKYDAuy@r>tYTxsgeo]py<lly<yJxM]au`itxQWxQrGXowitveJPPjA=ki`oheXExklhuUySolvgdvByOHxLhdK:Eop<Jl=JA@MBiMcFZbOnD@ZbNnD<::DryoyvngyVWyI:KiCEw]uIMySwGpxS?yI:sIXsxYix?yQbqn_xKw]syhX@yOwqLnHJA]yDUwguyZeuUuYCAo]LVQUuig[OyqnQLwhaCXfyx=yMi[yAZLYDyW[yEsAkyweLwibAme?krYixqqmqy;QuQoyLPmgayevy:F^UvotQyMxy:^b=AeIQhPxrQ?cNapCYebosmnstntF_[yAZKNgPPi`fkoWod_[eYgcW\\EG^?__>IZKadl_stgZVNl:_]KHeX^[Kqo[y`TpwkP\\A_odagFNwHP[=Q[PNx[?]]Q_>pgZ^msXfLXq:GnwG^ky^>Yce?\\=Fgxq]Uihy^nQpkBFkuCkSSyGXQ_u:KSGmhjWb=MTGQGQ]VNOyyxTvyMrtsLqkulnTQWThsHeMvImZIqFXNJpj[qmF\\Q]=Xrf]:_xdp]AftavqJili?ceWws^fnPq]vavFlsNbZq]jWuqOZtojAfqn_[SpwA?qhPdwY\\;GxNxhEaljptpWuVIlKq_OQb>qyS`hXFdvNlP?\\:nvkPiSWnrWikAheQqxyqgpkex^x>ucxZDGkBN_sFoANcehhkfq?an]GjTPefwjDfc:V`Hi]@y[PykrvfRfwXXgO@y;HgaHc`XkwYf>QaxHlaPe@Fg?gjUQeS`]J`\\PxkqaktOoZ@a\\Wr<HrkoseY\\rgvxoZ>ikgGoGQveXqrgg_p`FWkmWZE?^@?mLfd=nbAHiEA_DamlPx:wZ^`q;@sVo]tG\\Byoc>yEYvEWfjyu@Qid?yigrdwvBwq=xst^_<AZvGmQviS`k>vsuNq]OmMAxhOpngyeFdpXtnw[RNgTglo`vkoucQu@hoGfs?qqryxeH[__m>AdhXt>Phl_uFpvlpyg>yUper@yQOvbq^rYg\\Y_>Wl=oq@?qPXxHW_J>`rn_;q_E?\\t^yZpmr^ZkAbXVpfwalwmhyk_Yb>qoH?vBV^>F\\KXcgoy[xaWy]Dan?i_toZai_yGvBV^vXlN?xWQsbQ]e@j_NmE^frog<`kdvsK>ro?]RN_K?rBydJgsTxedGx`akSaqkXtvHd=^meFg:AeIW\\tGim?cBYw;Yav@rSA^>>r`VqfWdFVcVPxefbPWc@WloyYusy;B>]gkyV\\wSAiWleHbgHWeDH_yp_dnIIZQdtaRsmskmbx]xy;r<QDjyEw[SKyQyTly=JkiLSAKN\\X^dyrtnOtxydMYepidVyyY:\\Y;LWkiSkYq;MPIpOEYtXPyZyY:XoqhpmLmC]nr@weXpMhWgQSK@yUdr?Pnvpj]URT<TuhNCtnPiQtdMxIS\\\\y:eMtlv=qL`]q<hUMpN_UngHYMEM>AVplSd`U]yM;hytqYBlKIYuoHpjyL?PmIYRPpLPuXQTXAUWfElkHm`TlbIlkTXpXkmHp^AxAqTttMHHwpLuxDliqNTEORiWJQNaYmUhTU<j_IKCyNs`nq]OEykrAOv<TopStpWJ`v<TtjmvEMNDUShtK_yUK<U]Yq_MwDPMdMvJIq;mSeYODqSlypYDQOxshxwtqYq`n\\Lkc@M?pJDdK:DxChrh=OIysoxoxSl_XrWcroFDCrhAe_gcA_eCiCU;SsKvmuXIMSvsfQOy[]fygViyI:Mi\\_thID@QXLob=;DE=XJsimusYoCfAsvYsiKiAyCvgsAwiDYfFqiy=vryq;@py=JkaTGUsKQPMaxEdqTQX]ivOhmvtlmPsEtQfIXctXfmoCQR<<xtPVldOvxv[EWnTKwqVmITAXsqhmaEkPIXOAKPlj_Mmv`V@dV^IXlmLADW]TNS@jTUxixQbmmy<XpxMxQOIPpuqy;XVyUj[yY:PvehmM]yy=j[YMgQVuYsq`TZEWfpwGaOlIM\\]T>TuUPj:qLEqOOiXZMLDlP:eTgpspHxieJ`YuSUmSqpDpTPAygpt_]VX`Ui]Ne@PRuRrPKRYq<@v=hwL<Vnmm_yXwYjAmy@Xry=J?_sxxy:>nrwy:>rRyirQoBatvXf[YoC^sMWwtoi]Gm[Hq]ghTVkgGpBawIQlrNZ`>sV_mFVv:Flegdkq];hnvFtdQiOilV@pRptRgvMp[@@b?Q`rpsBnd]nk<Om:Vq`yey;RO::Pmm@yCDvUeq@qXHeOHeJPxTiUvvLTIQL@]nRMlFaKpDuC=lZ<RyPPp<xjtR]YTkqm;lNE]ntpJodVg]OQQJTaRL\\Sl\\SK]U]\\K^imHhKH=PSHS@mrEEjqasxxY:<nryi;@pyAZkadswlYaxIv]rY]Ivy:f\\RoaiFxnoeW^tnhyyVyhVwJomxI]`ak?wheogdHpRVj_oo_fkCoal?v<FcS>a:isSGqkyi@ho^>gifXoclMiB_rlYUGOxUSF@ofNWR<IB<SFkAVnMTtUH:OUxivq:rKmVYyA:Po]Xoryl=MyFUlAEOemXptw=LnBQlEmj<MWSEJWDyJ]rkYumAsMmY[<y`uyLyqmPJxALthyVqXqXlw\\rDAkJQrlTpFlPSAX>=XCdJU<NFLm:DwvYsi;:::<SYIMriRg@VtlmaPtvXKJ\\SLHyeEK:dX<AreUrlXjMAocmRqaNL@Q:EW_\\RL=XE<q:ly`<j\\Txi:JI::adiahUWR=cxAiYwKuxUtgsqZxY:xQe<rGTxixA:::RUyI:yCNyuqexbUiGyxvey;uYyoD:YU`u]:[;<c<:yaHWyGwPjyvknXuywsNy]qm:tulXI:@Omyoy:rHUiGy@bIaXUvABbGRxivq:rKvY;<=>vwnXU:qAjy>JvI:t;:rNZy:A?:;:>BFJjv:rynC:xaI<Z;::FD:jW:JYZy:;g;::I<<>@Bru:rx:xa:\\y;JI::a<vArb:B:Z:[;<`A:yaH;jyvK:F::ZK;:h=:t=vABbG::rKJZj:;YA:qAjy>j[FquaipPt>qpDF]]ifSfqAH]ZvkiidGinPf`rVa]gb^Nhl>\\=vs=Ot[XyGwPZQ^yd_elOa`?jrvwChegwqfY]exici^N^iDWwgwY;UqxY:`NNptnmx_pKrYyxqqmCgYWyESGqpetY[XmiPIwY\\GFhYv[ywtYQpqkLyqnaLQyW[yWsAKWyY:Foy^xFg`Fxxc^goghMPvgqegV[=yxt_nkHskfjk^]k^kCaaAhvBGllw`uFpOW[Nql:ndVhkn`fVxdSfoCy^B`agWfZx_IyncicXfnbx][Ii;hsn`^uA`mF\\JxbQH[_aeD`dLXlu@uSVnZi]LfeQNbJvuvNhdydLf`PIndf];qw^FaMxZ:flVN_LHZTYkXXhWO]:PaMW^RVwLo[oP`M`lU@fgVfrynEWkROth^hca]a`mYX_hXhUn[Oors>sZn]kVeNvrJOhcf[Cgr`xp@w[=hhegmMObHXeo`bxxppopwhksGulf]h@aqI]RVvFNa\\Qq?FwVoljp[APvehc_?il`tDGgqYnrV[[vabQxwyhMF\\:IsmY^^Q_QodUFjIqZLhiENoOHyPxstAptA[Ga``gmF_s`aia?vEy[Nvsahcq?oeq\\IwnBQt:aginm;fq@huFy\\@@^P>ZXXmHHasFoh`acFgm_nWp`aIdPq^IWp?Q\\DytIqv]`rFYsjFh<`^CaZqhid@[:qo<Pk:vvvi`[YmYn[A?hg^^vHqXpwIO`hqwlavGaa>q_Oa_Gatd>j:^wAvv<aiawqkytvY_YG]<quN>t@pmnWgoy`=vem?_E@sJx\\lqyEQjUIiUyqSVvqOioIi=P\\kvxuOyxi\\^yqSVvryjyAZDvu@ifh`qcfyShyIpiSgbwxsW`vsQ`^WZypgwiqkakpyrNFZeqdYQwMfyKaydPcHXuwQcyOqyflC?b?^\\K?b?F^_`nd?Ze_mINcaaaiwiqg]WppQxnDG^NihcnqIaZ=XlJ>ZnPl]qq>qdfGhM@jHFhW_ZAP[CgyeGmJQbeqehvqPqxyAZ\\@ueFwp?m]asZOwQq[wwbRXkRvZ[HKKXVOTQUFTCw`qFtUEtoVYwV_EWjIGpCTfqDJ=vB;tV=VweyuiDn]eK=XtWt:cbw_SUigWcRNE\\T>?=BkIL:xKWYtxqqQuy>okRWvM`dqXx]nkG?pHWrtoZ;iyYAoxnn^xkxyaokwyoxsnyI:=CPyutw`?qd@vfF`hmNvW>]coZkaogp^XX`s_vGvk^N[C?gKylUF[Zwjq_ac^ZJnrk``yGZGX`?Qmx?otho?iv?hk^QmDXuYYZvnr[Avrge>aor_]>YrEFRmSCMheihiKu:uBDARlUeI[BQWgZoV?iX\\UcqEXQCU=urbIBqcsu]gaWwOmBO]U[;iUmRHCrMOGYSSicXWqUm_uxcTnWYWqsxMfSefAGHTUYOEe[wXH;T>Sd]IhGMiZSXJWrpAHA]btwUpccawWyuUtotx=BkMyaYReSUeUYEwSnQUESgHci`CW^QVKed`GsfqUN=B:AY[]uZ?F:qbJ=f\\=wIAh>oX?ufZQeCMDbqg^MdsmWLCc>GXN?EJKDVqyrMvBArEew`SxSgl:]xheqbuRxAqceRuHJ`mmR<yIiYWDw[uNdQUvxXTixl\\qfEl:=xDYyn<uf]mA\\u<ymVaODtRdLxt<j=exYiJyhwMaxlxTpyxT\\jPtxjtUGEy>doOHTs\\Xs]VE`md@RMPmdXNm<NFmOHlJwTp=tOvQV<xjmeYc=UHXp?W]kGodOa_nuWxy:>[fYnD?pX@s;_ocqbdq\\S_[UFeOGe<N`wymWF`@@a:i\\GAyeHvPHnd`eT?uwQqRIWoT_EYkKhg_GKgFnuHPYH=SGeSxYgeeAe<KvFGVxiGuCbXywAIfcKCAcEG;xvUuQ=ioaGeOyOoeaIgrQS@YsUES\\CGLSEcKdRet\\QxH]cC_ilwCSsHkEe][yrWEqUyI=Y;uhgiVTIWL?yHie]SHc[gHmhF[W^UUU=eN=tVGxxcCUSBYSwjmsjYRP;hkwXFSvRgWIMcYkvAWDDABZyt[iyOoegeWeOi`EG_oi_UwcydPWHnmDfOV@WeBgG[MdAiyS;rKWUZ=FU_VuGv<=VQWw`KegoWOEG[?VDEVisGVEib_T<Ct<[f=;dmaCxexeWDaceb;v@EyJyI:wcoyGxUrAyI:arKiv=syxoty;BrcsYsYMqcvAgv;g;mIVyI:YXgYgyArKyI:CXnEyjyA:tNx]Tx]TRqJsAxy=jIipilY=xryGk]XsApywgoy?xTvaxq^WHyKGyK?fUfv=yY:V\\A;::?GjislIfy:vkhv]sqxoxy:>rbwYki`iUsITsEDZYu_YBy:bAstIaYuQuy<rbyY:@YTxX_yR_iR:xWQx;:BIkwYIipixy@jKyY:DxnxwDykDUk:tUhx=:RX[uyZ=J:LvcyUOxMOll;lQVyAR:JnDyjyiY<R\\IgYcdYcDPGRx[=:Lvb[x:r>W<::R\\A?ZynYu^:g[l=:::rL;D=_YryA:::xs\\<jdxUAykRmoIHUgxY:`TyTsryrjyMpMwrmj[xjxAA;RKUwKyuytkUxktQvy_xMNdAqy`x]tYvQnyEPEtuLPA;BfWUeyI:CG_@igl;QACcbioRwh=UwnxHNty`Xxpjypv]:i@Gc@?QIxY:xTXCfgmy=JLUtWyO@xY:Xvtywxqq^xY:Dtjltm`ubdmwXR^@xvLltpRDDK`Yv:XNs`npmo=EVDipXwy:^rMprEq`s@iqYftGv>X^qAhc`wkO]FF\\NA\\sOwWGxHFciijY`jfim]IqPIePHi]fgihZL@fVIcK@srffCxcrFiQ?^hHhNAu;g\\fH\\UIrF>h;O\\>nkrvtdOn;@j:^w:>vI>bbnegyaYWsxy]lQZIa\\n`mL_vPoh:>oUAZoYwL_fL_]q?nFWncPuUQwPv\\PvdkFk[?qGXnn?fBN_;_Zmgr\\?i\\NxcigU`bNav]wiax]cNm<whI?\\\\Ias`>;hVYTvQsSCbroga]Sk_eyScfog[KDyEDcqHgoW]Ova_C<wYwSI@?ERII]Ciu_dX[ck;dScc`QtNOeXwx=WgqIgMMSoyfcwxPOe?]eQmdmGcZ[d@icQCvYsF]wRJQyOqfucYmwbSwtM]EoiTI?y]cBtwe@GV<eSa=TUsgv?HC_iqIDU_eMchOSe=_SV;FLmRlebRQiQ]Xecy>YWmMwPyI:GUx?UN_u@OcloUUGXLICZ;BswF:UHFesCISs;yRsso_FyIuUKvi[YesITUw?EvIawI]wuLnUumuHSlaVaUmpywUywFTyQMNryX>MqIAKfhs`eKyiMVAOuan<QplHlRUo:XseAS^aXBipauuS`XYimIpJx`pO\\qSQNWXQuqmwikylX=DKFluFajaHmp]mhYu@iWwHyUQU:dqXyTR@ty=JlxQOTSKQuy=JbXrxASxeThdR:\\LJ=SW<Wn<JMyU_HmdPu_hxhtM[ipgaUc]KKpOamXv^ypa]XXjTp]=Hcq`fmoyqnqsXgB_pgo`qgc=?d`f^bnibOfHa^R@v<PZ=HrfasrHs\\ypnXkufixnrXqrPy_d>[\\>e]ac;fj=VZ_PfrQdHqv\\IevfbdXunxdqAov>q_v]w^l>F_JVipnbqyrP?aCA[`Pq>OyLQedIgKGubv_cyk\\@j;Wnn^s<PklF_l>_;>gnnfJHl:_]FwikYydxIoxy;BtcfcyVxOrjyI:wtwybmOCWyUvqA::Zj`_KgbN>ZWPweFoZippPl`qvb?v@h^i^^L@a>gbWFeR@x@fak?roF_eaeIprjwa[AdrYry^x?NqyUnGugAXNetd?HacgsMUYSiNguOos\\QshqttkduSiU=UhgG_We\\KEQocHIY@gD;?FHQi`oFiYCjobyyGcsIEkyTGGTQTBicxUEq_VxosHOeFYfCCtpKFk]GZyWi?uPCCv;BAihbEdrqvdkTwqVqEtRavL]hEwSjqEI]S[]EC]Ecafq[BPEV[Cd\\sUfugZYIC[FheC];GfkY\\_hMsYeYWhOvEmfCgE?wR_UXkWwqWsiAwpuXtYyUUEeIxImHrmfJsxPMd:cC[MhZ=t=wbniruGtjMumEcNIhkoWCYy\\ICvEhhwX=?d;_fGWSfKvvwrWcu^ieUwsQWt;WeRUVn[emyTlaGieVOOhUUV:stZAVlAcquvsYty;BJQyyhYuyUxQoPLtcionYkSiwfavwLmstvbiW]exAiLq@XdTU:XLUiqeymuDxXipdDWcixZes?toOeNpYsELv[ljRQvFxL@EY@Ey:\\J^=xvur;\\JrawVhMAUvy=jHy]=voyAZiQuyUvcTXaxy<WWxY:tyxyty=jDlo\\YU?QuwF]Agf\\IanWyGN_dQtE?qTPwVIuwAmhNrepvBavB?yoo[D>nG@k=>hsN`eqyZvtfiPuCgmHgUfOGHy]WgaXe?uWovLeE[]ghasD[BOgSooHd=d==GQaFZmI`kDtsWtyI:KYAyuy;bYixy;b\\Agmyfy=voyI:iYuyExOwscwEgrTghxgT]QerYX=Qx;KvEaxlkDUkwgoVWGuver<sfb?w=[c_kCSMhNqXXUwEExaORXoUviGhMUC_hCOV=awDqTeaHl=speGs=B>YE`GC@AvjsR>?vOas<urOqvIuy:ruxikmSyY:Zx=eBOwU@Qevkuc;hpGuh]UGSvoiBDwyVmdG=eq_gF[r[CsrObHaymkcmQCc;BNGijGxMqvIuAxH@I:tI<jDdOfuKD=PwDOumRPLpvIuy;:It`y;vWFxOgo;Hw@wZ_p]KijFxmpvityZYwy:vuoxy:NvbXxawy:>nowy:fyuyexQ_o@pw>_:ax]PujFpMpvIyy:>beE:TItKpxY:LYAxuy=jYipy=j\\UOUYjL]KILswTNEDMx`wy;tAdbGymxIJvXbo;HwAw:_x]KejGxMfYruJd:byB:ebPBR@op]Kf`vsYpy?Nrxr]gsYZY]\\YoUWZLakINcwVnEF]x^gy=vQRNxvy?BVYrT;eX]TZMyKcWRAuCUxawAXI^aSyYp;tAdrPmpAdNRpMNTifjcyIxIjDXnHymx[i]kiDR;wRn^hrpatWr_fqFa_DAes?o@FhFXv>NyD@ptVdoG\\yAZMVayvx`vy:NunGvTwbOGhEfbNfd;fZyEykEqyuoxY:<w`bxkvYQI]ylPdpOxY:\\yr]uy=JQyly=JJeSEymt=my=je]kYMYg<w=pkrilPgy=hhiCCxr>qopr@jDpuX`rktUIxIswy;Bfgmy_Nxp?lRoYk[tYIMty=jb=meIKrYyxwVAFgYWyESGqHXstr[dhyktYLyabkpm_Y^XXkE_tvxcky[>ydj?yU`dJavJavEXcpp\\jNeBa[LWe;QhfqiKa[Rphs?b_nh<Hp?GlOHsI`rtycE``gXf<qxpwy:V\\v>cKQwTYoS_eQFpMI[No\\qW`_Ghd?`UIn;os@G[]AqcayYnnX?urym@y`QIddVedQeVx\\P^kVv]lf`kppB`m=Flmqr]yZWV`JQkRitnVsWNdeact@q@GinXs]xhdgdDiwJhr^^^Jx[y^^h@`r_vXNrmxhZWhiFviF\\f`g]QvyOkl?n]iyIVcyEsOtkkYXCGXYGkwe:[ywKvEweCki_QSeYtLeGimVB_wn?rDQh<qW;GBn[V:AE]_VVsxoEGGEE^Mw:]f]ewPAhpedaEVbkHtoGWUUAeV[cgWgGtWHPSWV;WKEr]IS[sbaUD:memyfckefIykoxsIFskY`?yI_Wtgi?iSNkSfaHI?xneGl[uqKIh;SXMc]IrNMHuwfHaHYqDbkTtagpsuL]y@egsawRAuCqVSGGACsvSCUGTEIDmABVmU@eYtwt[gR]Ee;yWXUwjar<qHp;cZieF_R@=cFkBjmBjIh`si]mW@KYDeSigrlmd[ox@kY`_hpWy@KhZmGQQt>IfK;IwSr;ur=wEDArayD<kE\\?wakiPwcDIyA_ysEwyDyHHqytJtxxE\\qCEVeduXyX\\yuBXNXDUhILPTMW\\PhXNX@SAUULMyZtSwTxXaO]<kAlne`LrYt^xUbmyC`PMePB]JQHXGQxFIjO=xXlVQmuNIlDQPT@jmEmfiPYaKvarETRk]y;ExOpQCTX[qN]TxkmXWuppXtw<r;yRSAxkDPfDS:dj]YlqUomMvxxm\\uOH<y@uvPIprYM\\EqaMKU]XChpH<mNEkalkm<LgHRHam]qmrLYQUykIVwmQWIwoEmZtupmx`iREEQd<vi`QcXt;ISHmStHxLIqi`WuEn\\muADXmTqciV]LmVuOkxUnTRStrBMmFMJ_mR:IQ;]VDly]aqNaWfUWhAYWqWyXlJHxXHMb<yiMvPhkeTWYULvESa=vnYOEIVchqHlmvEQTTW`=lvqP?lYouRhutyPqZIJJ<YyAkcmyZPQripahniakoTws]PGmx@Hqjpk@USPpTJLW_ir;iSs`y\\`RLaMkDmMel]PKtax<xSnHPdYXCeLIYRKaWnAwhHnMEvbYnsXqXLxVQSFaSmDQqAnM<RfHs:=vpEWN]VryU<TtX]TxUoYyr_\\y?yTUQsPMleIJbTKUhMQqVTUkn@SWYWFToD=wjYnhqKsyne@ysDVwqyYEvIYkaXM\\yQCpw\\tk<eq`MJUeSn`NZ@r^UngepGLJr<qZ@VV<leMth]PuIooTQgLW^yxwPP<TYrYUF]wBdvkDm@`uZav>=malnrLweiSxXPrYY>Yn[yPGtoULvHlogqRItya@uxDR\\AlZlj=ivhMxqUVYlOqqwiaMJuJMyK>\\y<ITexY:PrJExJ=SAPJIYsAqYLltQpjnuOPLwtyrC`WhmQ`@YKXVLep^YPq`vlTT=LPUTqcQxSip@iwMAqBAR:iMsqQUXW>=Ow@JxolY`nTGgqQuWhu^`glPwqObdAwQx^nOjRFvBaZjq`??]:ArZqm`@jvVx>QuaWknvoJ>iYgcq@yQPvpVkP_t`npVhqPHmshdgv^Vh\\?Ao:nwCHbBY^>vx;Y]Twm?`yCWg`huVwrkYb?i^\\ijWYbSGgr_^crIKiaexnOiPec_=wYGwquDKUhImvHshPefV?rhCTv]sBkCUCg][CXIYI;tdiW<URksgg_iv_VBIT@Ix;AVK;xvyu:MeAMsosu@=wTiuYaBYITAWxbGwpudL]VPMUZARl_RhOR==GHQHASr^ah`;XncWqqUkwYFiHWmeIGCxGvsEdnED]gGkMexkuFShqAu_UcwUefGd<WKVmWLMXjYOnTSeXWEUSiyJbIr[Dtn`tDPthUVuMLLANZPu[Pw>Qo?HlmPRLDq`QSnMqXyJaHwtip`EOeyW_auXuRFTXgYxn\\o;mLjxl\\<Vk\\m;lMwDOgHU]pUGqoy=jK@rruuHExp]Jnyql\\yEExUhYyHup@pQhskTTHYnJpp\\AQo^uk_tuO]by\\<qa\\Nrq`yfvwNnkA_ysHwwwy:fwLiovgbLyooxirybHxmBVmfQegio^avtpoBYngFqs`a]Y^;hso?]VQkAFdF_slyw@PmiWkvvcZiiifex@ySPvBooiG^iN^=Wf``ZAVhHFZnx^qhoKFgxh_y?kqqmTvgCpm]VyVNavv\\DyY=unsejYII]H^YTp]ug]beGrFsvvwT\\=YeorkAhxecgYfcCTvmdpWGl]FsWCJMXIMTlCiacwakhgQcrmSWcY\\wwqUcbmthmy[MU\\uRqGDq;I>WxkksmcS:IiaysnsuP=yqWR]Otm?yQKFseveSWUKh_IHMACUiHV?xkQVNKXPkr][uFwv[=gI]Rv[BVySrKEXKwvyI:wcXyty;bBitJWGtdol=rRMWk`pPLVryvTMPOXq\\eL_XRJTYvLwkuuR<WGuudtRVXxQuMTAJmym@LyQUKvXsjuy:Ex?xx>uULtroAocAXWasJDe>NghIjB@dgG[@yclWgYOrYVupweJfhIy[doi]vqQigZOtfx_ZWgEYib_vGhvThwVVZ>Fd<@q<paRn];wvTXwvFa^@ebQ]?njCpn>GtS?eUgnwPqmvldNkjFZ]GsZihoFlaHwQIlvocPihaHk?gjPYkaPu=q_jyhE_\\qakeak^AfGG]HA`mwr=?bSFxyAZAqwcxy:veewY?gNovYCyDYRyqEqyEHMWnyI::ZRxi^Y?YWpIwryGPOGjaWKIcIcvVMIJ=BeysAMu?wBB[iGqGboxLcrOoR]Cfg]HImGpSgt;TEiGaCe];VyQsV[yb[ydEgNcddOC^uHGwIroudsrWAxMGreIFI=SrUnc<MhePGQL@UwOMMQDXXlNj]V:<lmhmKLXAUmIeOcyY:LRipvTqJ[`Nl`PPyLQIWbTs`Yy<XmoLuvPr:ivJ`jF@MRPphekByrWioy=j<yk<QOoDuPEodXlWYqy@mLPpkTjaIVUTSWutIAQHDu?pMQ`lKHwPUJ^@rLmJSAMk`nj<UOELr\\TJmRrPttTS_evWNqDprGqgUGaOh_JAc>yvs^i^wy:V`HQiOyk<YjT@s_g\\U`cQ`cxXtiowTh^XHeLAbL`qIGpUXpiX_K`uVNtbYv=Qiy^mT`eppxK`c\\qb@P^EQ\\jhdJGdINsSX[BAZ<>bafahiv:Ar`?Zp_Z;Xcsxy:^qYim=OjwxrmO[Eybjif`Hoh>nFXpCw^SppeVmCpf<HZ]nZJhbMnwRwpjVsgWZafopf]UNrj?yXxcKFrcxu?IiZfkWV\\M?qUohB_tdx^SyxsWi:w^EvpSFa@IighyIiy`aybauyAZXygHqk:GqOPoSAyQ_dvXyg_xCi_LQ_fNdEHkOGnRYy;IkAH`L@ufVsEAZ;^^;VkYIgjyYmfWEHekdqOxfut^krUuSoet:ksDGVB]D:ICb]TtaduyuuissGtswyvwEW_U;OhIwryLrq@Nc=LcMqNqppmTjqjlUvLurU@mk`vFlmCeo;XOcyY:XXwykemyNhuIiy`aybauy=:tk`Qj]yqo`xyHyxyjouYDxac=RqYXyZ:ZQXp;GhYQutyevyy:Vbtyy:fJohx:rGauy;RXygHisIiy`aybmHbkwuUYYYcyyUbuyY?x]UYY:hsVyIV]YXY^wJaeqoxxxlyAZy>txyq[ybpqQ:pNhyY:tGUvmuAgITWsHqyQQty;raKyYyDvAwxytL:TTqyqq;rXcs?uRyYWcyI:YHwysekYNuyeE?jcXqYXIHqy=:pMGiJAuyeEwy[QEDwQc;F?Zs<t;:ZyWG:pGBq<:xRmDrkyuTMyYaYyYrtyiDvao`X:tpmuyscUyuuvbmHB:;rJxIIcwwW`yI:y;`nVyivlG:Saeha_ipXineoxcolWGohfwsXvuF`vyk_qdAOcVGp_ImI@]`YlYPcn`ofH^b_naQtHhicFjGvy:^Yr?>tGKwstx_grDsYyGvrYVx?uy;bxMRdAsIow[wIhEP:DTe=RVxY:`rhppYmxGhty`hN^IQYUyQjpwgRLFwfYC[ywpawYJYWyEKg]ypDwWhw]UQd@ot@LPXV:tQmuktQVxpmywesKjpxOxY:fcoOywflXPntij@HnegZWanmAsMHbvNfB_vM_[vN`JHbXnrkpMUC]yW\\ieIIcnScusyKGGxGv:Cb:eSf]hnOXHEBwIV:?eFsRhieR;T>AY]kW@MhIAv:GRHCrA[eHaiokWUADjoucsICggXwv\\?yHUeEIxMEFRaHwEYn=IXSuokrVirBQEHKxCsrEOHFQbUYY>KbVmxtUYP;fxKcb;f<KcbDLI]qJmo_EL]HM:aO:aKtaVQYM_Twt`VYeLoeuD\\ySqNYpKOhkWMn?mly=JTDY]ww;Pj<_[b>]RNwCg`LYgto\\Kpo:oltqsQHfcHbVNjbWvuppCgl^?Z:@rr>^j^ZmytMXwOWnjaxcWvs^yDo_^Wx`Wt]HplqhG@n^vo`^woIsi^knOv:p`BPvmhxwo_MadlXiuVyBo_g_u<Hs\\^v^_hxvrJixWFbONncw[\\fkJiea`hmO]ggx@Yjqo\\QXoVaaPQ`qvl]?oDwukfa[@myAZyWyiHtta]rFytibSxcFWvQqtZ`tff_igw^gpwPjeVkc_d^@pGA]nGlI?dDAi]>uQy`hfmg@w:fm?vtM?pYNx[yhsFe\\^wPF]B?aVwiEvvhAvKnmPnrXiwGodI@xtFoS?e<Vh;yswv[sqyoGvY^pXXjsonrW]KolMirxV_AfduafLnboO^KQ^wok`Qh<P`rP_vGlXVaeNls>ZQQoS?iqHcPPvUfc>gc\\PwLN`fpdtPlfx[]V\\:@oq_\\Jxm>of]V^ZN\\ensxiav?`jiuqYrItt]sYMuJyUTEUXKgKIyNoW^iCe_b^SRUMCJKbSkB:=R^qXs?c^aC_EsAMVAiyjusN_thYFQaXGQTkww_GTooRkWEkQt>WdiCd>GFSyT_KtFeRxkejAFoovtQFRiTG;YeSBtgrO_EQyXlKwQOuGGdv_Ys?GPADlAe][CKAE[=bB=D]eI;iibqikwY@egaqDKeXeWyuAeRGfl]HkiyHaiZwgNEe[YbN;t:kI\\sRncEHaH_wY?aeb_CBksCyfXEYcyw^CxVMXS=WQAiMgtDiEdqHhssZAF=SsIYvBGYViiHSrgsH\\MihII\\kXacuy;bSMucwYRgyfaBCAXbmDcsR?AsI?sRYwCWfXqFXAc\\KcrUVNASKObdAfTKw:;B:qS:QdVugpueUyI:?SIysM?fj_x<QDHAeZwH;MBAKEH]TtwiYewTMuk=tMcROmrUMGksyPgXGyx=kIMOiXKcfgd]kUKCx_mRYKvnGD[?sRgvHKF;[v?Ww=ODu?G@?uFwvTIckoG;wdC[YuGX]eCmgVlaCKGHLcXFqBCMt;Ib]guR]YeeeNMRH;w;]XKcjbPNDn]Oxvx?_Yhrtv^B``eixka\\qFhYQwjIu=YnAWfRnZQ>lfnkYFmEwbPFwRwvi?slOZQQnXfl>yb[y[Jv^HxnkI]kAgPH]V?^oxlEgkFpd:QjZokGGuO_^<fsFXpZ_m?@dZH[Kvy:fcNIs=nyxvt=xy:^eLWmfvhYNg@Xiyg^pxb^^glPs]WyUA`;O[SYy`xmXniUQoqwy:VcYgyLfli>a^YlP_ZyFxkvy:nmPvarA]yAZvQgI@yRxy:vsEv]va[yoyoVdZOiKGJ;D>yI:CxkwIXkty;BrAuy@YOyMkIpy=JXlly<yRxY:\\ydqn:aX]XjL=j[xiMv]sIv]wY=v]yQ]]ty=j>yRx=yRyY:<v]yY:HxdTm=PTFR:YByStYIY[YfyGrIyQGHTyUlYHY[YvyWZYvy:fkN?uX^lZCNCrI]Aw>By:Yx<lI:::<H@IJX:\\IZ:ZM:FJnRFK<I<FHH>=@:S<:o::A:U><@C:nMZv=vsEBy:::BrRv:s;Bx:<:H;j:K]k>CvBjrrJFR:^C:N=:V:fKBR^:JI;lIjaiZv=::ZZ]k=^AZr=B:r>:=>G@M^j]:]]=kZ;J`:JG:j;j@[ZK<:w>By:Yx<lI:::<H@IJX:\\IZ:ZM:FJnRFK<I<FHH>=@:S<:o::A:U><@ErLcFoCug_vIGSjQtbKcC]IxKxBwYXeDbgC[UdlqxBCdlcYr;rIKGGkGwAG?=bksiLQa:>fW=Ksb?yOqtUqi;OQwan\\xpaDPfxx=yuowafi]_xicI_hdjygv]bhyI:YWdyCwSTGCHYusyxovjpi<pNutyDxY:<s@Ywxqq^bb=]sXc]Wo\\Pke>`D>?;f<<TbIjF\\vMHJVXYMay@ysW=OiaQ]`K<@UT\\VDDsGYME\\KJ<rWXxB]Ykmuo=XaAsNaxsxoHyp_xU;aQKPnSYMC`JCiJBxVliWq=XPer>tLF=JlHp:?ZoQ[e_vc>^^OyMgjpvetPixa\\;Fj\\ima?eMqyIq]EHvCixchnVispPwrN^GpbtVqyU>CSR;Ds?rXaUayS]Sy=AxUkYMUEEWie;g^qhmiwf;BEaXhqcOEs;?FuyHDsBs]F]gP@=lrUuEQtZQTnyPP]Q>yOhhMidXCpwfiOhaw[QR\\=Q:ASQ\\OA]K;YOP`wM\\pNQupDk@HNZAKnxJj]KM<uTeRcExXTLkQYETMnPXiAPhMtOeMpUovur]ml:\\Mh=NEX]p_tofqlnvYV\\rGfn?vFYfua`QI`Wa_khl^im]@]^Fl=HwXwhkYa[yh=``Igjxq`yHtnYuwQaPGtiqoWg_oWeBIns_ZHFbbolKG]WnpOXuHH`HX_]GrxnZjxmIgtg^i=GvgN`IabspqDXvH?t`H\\Ig]M`^;g]:`c@I]UYi_ocxOfIGahxd\\qt=@xDWs[ytEXfkXtvfZiWo=_nX?kPv_l`ocQa<Yy<?jqwZFnZkns?W_\\fy^Pl_qqAxn=AviN[DIloptRhh?VZ[f`UFkig\\IOof`s;ycf?jH>acieGfo?ho_`ppotjhb>F`Z>c]ik<Nob@w:^];fwMWey?oIwxAOxc@_jpcfxvkYaKHy=?]cqcenrANco_\\BIZ?_\\JGZ?_<:RJ?wZ;DACtQ]YyMwyXWgyY:\\XDat\\PnElyydpyPYuyUwQLO@OeDjbQND<jb::_dA;gN_X>of:gIDOiPEgcyVECwWESjqG^Ed?eXqaISWRVaXeiDosyK?WtiWmAuXoMhetOLunpPPhudHUTISG<mFdWvntQokA`yF_qx^u^wuHhqtfod?wkvlkytB@`DGjiwn]ypjysV?eV_cdytgH[gV^e_iKiv[IpoO_\\WoLolJIgiNmx`nJ?iePbXpvXQuuFu>vlL>k\\P\\S_u@g]Iib?Vn=v^VqtPAiHIhiykEIwK?iwQ[R?w:HqaVypwrrYpyAZgfaensvVebXecquoViehytovBolU_hHPt=YeuWiuP\\<o]fFklywKnkYWa^OhLagTQbFvhp^mMga_VinPiiWh=hrOVvTx_G`iK_nrYf=Weeimx>wdAtIavWwcxpbm@eoA[gNus_mxp^JwpU?sDiZK>ZVOjSgh[FxAIkBA\\=wgaPwyOgwXlC?px`p>@kaPqS?dsIrvOrD>]TvdKVoVVmSoikGlC@_nQyFGxXht>Agx>`PihYnZeqicvl>_dEWc`ViGgaR_pl`u;WZo^suojqw[r>]QW[r``L_fXV_PHxIfkohktVvEGqIG\\bQqEabhfngnn@It>irg@]dhcTFcZ>fFx`hwuAi^>Afh__IFfNfp]q\\YX\\oIynIiXXcgpZPYigNcUWeChuLwcwN\\RffVIlfXyBn]jwZEqlQ?a?F\\;hgwpcIPvwQcmQvFNmnvttH_nhiEaZJNZLif]_uHgyUYr<nafAl\\PpLhdRAoFFZXYl:HcZq[aPtI`sQgmWAiyXeiW\\VIwPylT`dFghUfolV]pnpiVh:nkTIcLgyy@iE^bFAjf?udxhIpun_sPnu\\ntnyk<pqTftGawQNipHng?glieWq^]vuvnfpofYQ^\\@vWvqvFlZ@vFN\\KPtrp]OpmcGiAYbVXv;pmSyoV>xyA:yG?Qi@ucs]G=oUCugiof_?TS_fCie`MtuIufCSR[y\\kF[kVlAS;_sVswN[yEWVWQwXYr=oHQQi`utpsTTgd>sdTigcIdZwsEsFeQfsef=GXq?CE[Skawj[FdQRZUyrOy=_HZuuT?HIuRvQSkUecMYFeFfkwgWfkABGiwgKdUWcpKDigX`iELESYEgw;IK=Hi_W@[hu_ixQtAoBXGfnqTMIUPudHQTJ;WtohiKg_wFRkTUWeA=YPavXSY;]s>cW[_UNCcQ[EZir:cxx]tmmyuwtH?y=KfiYcnYIwqy@QWUgcmGyrSY^sTJUciwR@WSsqhAAdLSGM=tryXsIfNKiludF]sP;hYqcoSIWQR=QTNivxoejUrAMTUGDXCeSoVLWSEEW>UyEMCJGHSKT`]w_gE;aywQTZUiRgFi?wIuBxGxoGxD?gtgfXCcRcxjYeWGWN]R`oXpEc^KEomwa;uSQSg=UV_yGYH^;DtwI@ku_[TvCr?QYdwTTiuFqDgyUvCIbOs[SRVmGC]VA[EbGf=qb_SR\\cg?;eWcVNED:cRNE<::FhYP\\tXuy?uqndyAZLQcb>yOptUUjowgwi^]tPaHpgvH=yuoyxYxxIRTydxOtTiGviGyCfU]wmoIOyfxGKko]ywovxY[gWevyLdthmvfluIfLGbuYglw[wI`@HpXhv]vpaQtQPm^aiCyiaaoYxxSYnFylxQiCE:ue`WFNocuKesmwA_sQmytISygITaYCyI:wffyuqGe][dH::::DVJus\\@J:\\XJYoMTx_xY:pMlxY:tu`uKlxusUwahYpAW_YjhpvJXXNut_lvEuIJX`vy:LSA<UJpkXaX<dpYTrVyNSx?::jXiRHqxFPYQIq\\uQ?<YqyuJeXGQOeYsnDKoWpUWsvn`KI[NPc_HeOQkV@aVAca^aoQoxafy<DwE<stAsy=jqIt]\\lHLPZdt<XVa`mMIYhXrFYLxMyyhYpGyLxy:vsSwaiYpA??iEGaEQYV`YCyey^wyxcSX_vy::::::::::::::::::::nm^wQBt]HR;s]wyIeuMoyxyTyPSN`xdlxy=JeywIeyvxnxE[\\Go:^pLOdJIZ?g^N>ZnPdK?bEfb_^<ps\\qlJLKbaKgUuCipNqvmllq=lo`M\\@UpIL@DQ>tVyDrKmUbqTQPuNPqBXqOeOhlv>mKMyvbdS:@xUpP^UN:@sVauoaYePtDPSW<oMaLahlfxPmAP@PMNtncdReioFIj[US=EXiaqtqJs\\xgmvSUvEeMTEY]qKaLoDUpZYvXap^XpnPL\\YOSdoglMrIx^asJUOCmmmhKflRQEMwtKmYTKQuWUp^ML\\pppmVy@OU=R]MKMIVCPSgeQQAM@ukkAtqEng@VH@O[<S[@s[uyNUKRTkYXYZ\\KiXtMqt_PnJpr\\LOb@UOETA=nbXUYiqwHybHnmXP<DPVllpAP@EkgIl:QKsTn><VF`VHxkb@v`qn\\<jehpGXk:=lwhk]dRSPtK\\PBdtD]Kc@JFPj]HJb=QV`TX\\RyLwuEP>PN`arRYXsYw`QpkQxQpR\\=QVXLHxJ_DS?=jAmXuEXjmw?]QXDyWmJYEoqilxqWfuViYjFPvAxp;hwGYP;UL<]tiplKQJRdm@Ltk<UxYrLan\\<jS\\v=uL\\<k@YxP\\r]mvslSIamVXxoqVR`OgelDioWPOc@V?mT?@Jjhn;lrk<LCIQfESwHsc@OZ<kGin[dL`ppPlrBaT^xw^qO^YtV<jk=LHls:Av^QYTHX<LLB<P<ErG=mkXjluyqynWqXcMt`MK:`vJTr^LJCInC\\uh@tFAJjHmWakK\\M^YJI<TIDtGqkPmtr`yrdwgMTxlq>eJO=y^FZHH[aFxc@oZ@[>A\\Ehnt@\\>q_OnhfXuA>mQnm=Vvj_]XX`XYmegggWgUvbeggi_gFXySIfCXfF>u:FpDnZH?ZaioGgBcZ:^<MDJQRKJcr<:_l=`krilPYuxIrtxpxMLKyBxUpikOSCeRiVfxp]yCiyI:[gWBcduGukEysteyio^Tfvxp]y;:::OxPef>EH?]dN=RKcBNPND:::::::\\nn`p@<jeHuy=jfxqy=ji@my=JnMrOQKixvxQpy=jxmqMuY>enIushiQb<Vb`JV`KTheuiosydqNvRwin`qKGvgpZSwnDxsJOlbaufNdn`gxad[^lhOdB^eM`mJfieAcvo_jytqixHVjxQfQ`mkyy:feepcBg^iYaSVhCawGh_IhyPayb@uYiuiOssHpZyy:vjA_rY>xIh[wo[mxpqoxrwtaXyHo`hysOxvhqrXQinwv_pem@yiGvEVs^OqnXqt@q;pyfIpdwtHgkHAa\\^iXFbvIoTymmqi<vvYXfUWfyghyP_pv`qYelaoSpyU>i<ouBWfrHqtPkC_vlInSg`egnlnaPigd`[Vame^]H>h^pxov_vQ_Ya[yOiyAZye;iuYsiXQvNwyU;XHIIp[HpyXqNjfpZB?^tOmIyy:fjUGvk_tYyy:>vHywyAZIpdQnkvh^`@iEWrQniZNt_vqDpxDAcXP^iowWn[_gb[fLEeD=DBCIWEh<[bUMxZMGGWWngh\\MsS;t__bKosB[vIARLmt@GBDEgb;f<KcbNcev\\Ay`QQ]aOjohqDGt<aeTGwmisUF\\VP`]@\\w?xkgceFpq^fg_jm_ygFyKGpyAZtxuOpdYojXY\\^gynQaFPp]y[]NgQIfVxx^^_Zx[=Qk]xorwc[ymAhw]HqQih?NtZHlpa^Qpq\\>q;Hek`m<Vx:pcsfrXNv[FawhcwwowqTdwy=jhyP_etg\\q;<vUqLShw?`S@mJC@OIXUutwgLke@jRYM<htO<Pu=Pw@k_hPriYZYY[TNUioNMVsLMaHPeuxgipNIvNLVh=MX@KdIOXiQAHyPppytxUQX]XWyiXyPoEQTvXmjUVSuLAPStPq:hpRDrkmXY=lVYS_=stTngaMguw]esgxu;lyWLuGaVWQSjIS?hwLXWQMsjmS]XT=tp<]vbdX\\uJXEOXEnsMMuyuuiOsItoxY:PqYeL:mYS<Yr\\MUXsfyijhqayy:n]^xy:fja?vYIynqqyAZ;iqayYXTqUy?lvRAuy?qYil[^[tNjxNn[xYE^XqtQxurAavxYAYoYVekuWUDvgwg=YxcuJee<yxQuWaChVwTmoCiGeomUJCh]kXB=GQeRj=hIcWiihbQRlOUmOiP=dy]uLKDf?g\\KKKeBGwnQw;GX;wXEGSjCe^kSgUbPwhmau@UuYMswgF:WfKgUZ]vmssNOdrWekgykwytLOpxQqYml=oQHvqXjDavTyu^Mxy=J\\ExsyY:xrdplo@vy=j@Ly_\\QQQqGIVMIVTDTFLtWAy<lVODYH<S:MUjUKj=yV<xb]qCyXGisihyPaybPuy=JWCOgGxyErQUbMcgqTdCfNcgFmeXuxpSUWqIl]uGSrHAFlMwI=YPkyGmrxEcwyCuYSXyq]aTiqM;IyM\\ly=JhyP_IskxY:Pad^jvY`jAhr:iCiyI:Lw@Wt<Y^widxHnUnmOnjiphDwmKGmBWvVAdVHbs@eThmRom?VqrxqjqgIhioG^LHigi\\^xiia]Kxmix]ghgNQu?y>]ua_:nDNCZ;QQwi^J`Xq[ywtYyIUYADwYMYDYwcPp]iw:hXuUwy=jb=meqLrIyxqqmWjnxowMdqqDYQ_`vthqE\\SyIPPxPIDWrXjrUnaPnidVSUslMnRQnehyMpyYdxIpOryqreTYdvRxsUeXF<Vy]lwxY:hWO<SP@odty_?ZIOyAhax>gswy:>sNwm__xy`tIwnGy[yFyD>jfFtOgr`XhEhw>gyTn]yOxQnt=@gA^yyPwYvxNyaIGy_AbP>_dxYCusyrUchHAyuAtyTvNQJNILKxY:<o]uTnyQvQW:`OKit?mNHijpMnIqNbyY:@ixFs@qiYAoZ_k=PqXvbwQyZX[NfdyOpyWtxInyAZwWbyMNiyM:^yd?jfFD`vywCpytyjy=JGHTpyStyY:\\tyxWbxY:B:]WKi<:vklxI:J;PvDxOpySt;Zxry:JJi:::VY:BZ::jK;:>:::xB:Z<:::w;:BbN]ipxIOyy_tyvwbxiruACumsyiOABZQrFqyp]yyxnNxY:DTCXtnuVohMvTk:@lfXlDQTrtxceMC=qJ=jGLO@@p\\dNWHraeO:TxtYUsuyK\\qLtr=xxTxjxUly=joYObPQm`L:=VI]u`IQYmLrMYG]wS]UTQWMDwTijM@spuXk\\R^XK`qOQeJCEM>XyDDRXhKk_mvabh_uyOfHxqrA\\eOpLhnrnosGuvqspwvSnaRgut_loAioYcGyf@Q]FO]W^yqO]xhoawh[WonP_ppt\\YaUgbmFiSauWN]S>ZJw`M^kogs\\GwGYvuWgGp_dyxxQ\\?PlevbcWjVOp;qgyhq\\GePYdXFhlalLp`lo[]GlInlQvnyAZ>X`?imyGv[_]yEpcrY]ixGDvyt\\KrksIEac]kfyEXAYrQmIXGGt=yy;rsIIryI:KXIEwMCIy]DkKUtAYiATL[imEwSwrhcUvohPuX@eSE=TAoVxcwtExx?tHWUOSV\\Uuo[UQ=w]KsPmeGcwdYH\\wrAcwhygHgFcQW;UIioCQobfUx\\yVgGDnwWRQU\\CuRsbisthodJed>_DbWurUgAQRvkD@yB>gUZ;x:AD:SRVyI:yC?yejebr?GO<J[AvlunZdMFhma\\ty?cqyaMa]_YiTv]mYxjyi^q]LynlqibfwnXiAXtnVkgv`gYlWiyLhuZVy?_sXaglhwJWqWyy:FkHP`IOhm?eYo\\iPmyojtQqkvwiOyVqr?VfyOrUNvYQyb^cynwDvasq^O`aE^oWG\\igorot\\yy:fc`obXptwF`[W`?fhjgnvptAasZ@xufdbHfZYtaYuCyY]fFeVLETcYRkuRwYHyuEMyUtQwy;rFUdbGtEASHOImkdycsO=BocRNELDfBebmsUMyI:_vV?YJyxxOssyq\\PMtTnNiXGpQYiTLuwnXq:qvXMxALjgujGHP;Yt=\\x`\\MTuSKiQGXUgHtLmvNaUrtt[ytXAQyxmAmodmm\\@xWpTG\\optS]UXqaNQQTTYkRDvPmpdXQ]poS`UVykUTJHMqQLKEYLyEkoUMLpynMQeTPYLx?=s>PYVxkZDwGqy:ExydYGLuqmYBXuyg^PiwMWim``_igHp\\wVZW?x^QuPHmaPerqkwG]=n^XptQ^_LhqTAuRgbi_a@p`<?tcPk_AepVdr^uGPxKHq[i_UneEHvQXkvPaXWxIotoX[UQvqxhqNdlFc^>q\\>gYHh[v[vfkvxvHhxv`iyNvmwYacOqvyDRExi^QqAvjvycyuJgt`:vlTfiAasua]A`rUgu`OvXytQ?xpILkyPSyQEunoDDovDMcesspqYJsRN[CqGFHeXS=BqSEkIx:ErdoSIQSkAUkartgdWwdCUVCGF<cuwkWieFcGVoeuDIETGu=AC>wHPkwUkVfOsMuS;iUu=yq_BfohqMsnKBlsCtUBpIiywUiygHyDxIDyUdasUPIwAqIZiwyFdCycrXhxvrQVfeWvEXkWp]@viOFucNlKaa=W`Y?qM^eAp^sgoEYa;FZUvrhQri^s>@^uNcUY^@IhdQmZghkadeHguWhG>pDhw>PfVqeBG^qWlFAvB`amPq_q^L^[IFlqXpowejykrylxqjwXayAZ>f_yAZCadyOryNvYOyT^xiaYZEycrhepYaIfwQos;>SmgysgoYb\\WYmgxb=IZKTCeCeAytAUXwY?qvy;B<yI:MviKIUaxy;BvCtqsy_gDGyw=OYDMwpwtTobtyTeqFggGn=XRgYS_B`oXIWIM_g??xh;YViYdwx<?UQwh_oSBQDLocNgHEmX;cRNKd:OFD;g:[GYit]gGxCeawHBewIkIueWimda=cnyI:eGe?Y\\WSscgawXrWSUIWKSrRevVeggsfUkBC]R^ghdWCmmvdAWPesSkh=ItMoDssUJiuWIermYgMHwqTmgemIYLUdIkRE;SPwhp=DEYvBcbV;RLedb_tjYFqKCRGDm=CvyI:Mfv]erUwHybw=rUwyLAgy]ry;r>iYvgt`yQ;;eHdwCcIcEKWrGSf]Y[sfh_HpMeXex^UTIsh`SbXuUjKTEYe@Yd^mDkWEd[H;]BDWSA[s]_YWuxYgtQsRgIY\\yI:_wQCH^QHVWrln_<xawv`^V_`Iilwm]^sRAfJ>`aVgL>uJhhAXrxq^yAZ[XoGwy:FrEviliei^y]ny_vy:FnipcyA:ROEc@uukN\\vi_rptf`al>tdytt^nHqg^@g@VnKnk^?k?PrOHg_?hqvg]^sK@mhQwQ>gWfhpxn]fu:_jF``bx[\\QrrxsryBSdHkueWtyV\\yOxOO_bqaavdQwePFueF_BafJIuRo]>Y\\l?byFjdPcTPw`fvRIpjytxIcxAjyFwGybxaaOItOgaYvcpPtnWkwn_FIspYiBod^n_xof=Vq]_kay^kYoO`kWHuk?u]qa_fhpxY[gUU_^`lKsDUwgfhigy^NnoxnjH`Yy[yVv\\ywxIrTyD_f`OY;CxmSsdUB__Fc_D<wXJccTaSgqTb;EqGRAQw_kYXUXk;ikaucMEQyupMge?Gk_roCW=ChQisIgijOblqT]SEVwDF]ioAWryF\\ig?ie?QyW?wy;bRIDC]UkWbSiBeiIUIvWArlCegEuBmSqawUiTGYVrYi\\oEaobWMf=mgcUSyCXmebe=WYQEiGt_adLOh\\=gRKsdOxAwhHmsMkvDsyhugHQyJahEYgImxVIWkeckUupUHSqsfYuBQT:oybqgFoi?eS`iSZsSC=S[Iv[SSNUInUshSsKiY;yDmgTJsf;iTxAvRAccge^OCUirKUrX]iROYEqsJexecsaSypqtdKUgMfbGfsqs_gVjUgUCISISsQrCmF:GX<AY@EUCcFWowKUVWQs]OBxAvOcHyMSY=uWAgPusomHSmtrqDb?SX?RbgFDCYl]CrafA_cK_xy;BFobPYBZsyFAWtge?[Btghfui]kCOUDCABWYFAGS>=sAiUCmdv;bpQTfGhMQuLAhqybnsUIWEvKe`SeW]rhMv@OhqmD`[U<gUCWvHCUvaF]CenMT[]xmUDdQehuRauVsGyfWRi]UesC>mhpsWFqhKaFmAxTCS^QGH;f=MRSmvvagsOi=stYarUqXOuUHsUDCsfqtmeR_AxkwU[gbvQtdQVGWVIOx<Ys`Yua[S[CXSMV:eVNoI`sy>=IP=IiGvIWRpCsWywt?xdSFyqHZwtYgU:mS:gCZ]UtadpkyNAho?W>Gr[ME@CFjAuDmBl[CL_hJaEa_f]WIrsVaSXLICG?HtlLYdLhyWKquEMRmEsN`OjTr]xu@AnDqTG`x:QJs@UPAq_aUZml]XsT]oSelePWyEm[TPSuw[@x_iu?UKTUsg`puDuWmVEqpuLxV]JklrpENLajFLwB]SrEqWhwQ`JvDq^AoPLqG\\Me`MXLw>`KFxqN@thYwQMSqySqAuDToy<JvUMrLJiUkcMp?\\j:IN\\<qR]RGqKJYp:QxS@l]MLI`NJ<PntL@aSxHqNYnPqK;xo@DLo<xFqrVMwBHPEDxI\\mUisU]PFYl_IuxuOpuyuyp`ioIxjtinxIpjyx=Qq?QuEX]Tifohs;YdVVeWQvPof^ij=^^VXZIPcqHorye<_thant`tnWgEGo_@iXxbPP`XYf>?[GouZpZ]vg<?aZnkdnyWHfgwncotTih?PoUIeTQrJHbDF_E^]b?`dha:@][p^QFb`qey?tovqjQ_InYYfFaiy=VeyI:=FNyUveuRMeyQiYcTUySqYM:euO`yEyStqjqlY?Hry=j?IT`muy=JJipy<XdxKxqOfdwyduiQsGxnui_Zp_Dpy_wvwYZUwy:NZZxy:NvbYxivabQ]YAyOvZyAZQnDyfuiO]HwxUWx]t?DtYasvxY:<NeyY:<VNyMveUXhvaeY=XUyQjZxY:PvdqrMiyPainxy:fhyd:KyeGiQy=::::J_;:::::Y<::::::::::::pD>:::::::bl:::::ZI;::::::::::::U?<:::::::NS:::::ja::::::::::::Zg<;:::::::dF:::::rM::::::::::::jP[::::::::O@:::::vC::::::::::::ReJ:::::::ZD=:::::x>::::::::::::fOB:::::::J_;:::::Y<::ZDHiTwvBQmOIn]W\\BG[Px`>F_JwbByrAvvWfidQh^xiEniO_eFPgkXj;YyV^uyWuB?gE^mi`rXppYqxGfty`xLPkYGkWggy\\yAZci^Ofqw^j?AYwiiaiy=hpb`wHX_fW_YCSrRiVPCDRSgKctkWbKITGAFvaYyxwxIRTyd_f`choCAo?qnVGs^XeAghbpo`h[^P`BW^AwlCYk`ovwv\\rv^RI\\XYpPHvJiujixa`joVyIvpcGdCa_\\FggWuuwsM^_KHqAOdHXb<^o^@\\AOtghs\\@ido:QD\\AY[WyQQXZwTwchlqYPggeqdsqSOqv:_w^kxoKVTyD=sYXAubATrQYuorjotnwxvIDosuwug\\oxTmTe?XC?XB;DPGV[gRGEeDWDSWx:?ihQu]Ivgii@UchOeQOBneG<cwMaRQwTtoXOCHnQH?gf>EHEQe<gRM[V[_cKqIFitwADA;I]WwxevR_HC]HIks_[fPqRLStfAgHUe^gEQWsFgv;Ket[S<CrvSFrexPQwMKrpQegoEC]ihyhqIHCgVnYEh?SKSf:yI:ksH=T:=fpWDLCi<Ey^ATvCsI_BIicrKCIQbboTeeG]gvGagpwTkqBE_Dg=tBArlSrtObkkElCraif:mwxYy[wwEyQ<qRyIvkhpqlmIiW>tyJpO^ltQUy\\ISpuXkTVs=W=\\nZqWVelj\\NhdJQhy<yRftKH<WutxwUM]@qBIQQ`jnmRq]TQMuatjgMl`PLLMt_eL\\EtVXLBUsk@RBMTBIMdus=DqO`vPtuGhPBmYU@YI`rm@xNUKmUyw`mP<xVUwPLNZXVMTXGImqLjoLKFmKVqopEYxIVnXv[DxqmJoYSgXk<yk\\\\ypHTgywneOKyWPhnxLjyDp><QSem]=lAISRXjrlOlpYpAwulWPdQ:<Ym=r^xi@wrPqvIoydVj[is>vgGYn:VjffcNYjYveT@qwve[ihpHo]I_hnwnfeJ>wtio_qmgXo^ppbyx@NwOAedV_gIrQo^lnctf_:yaeAyBAxyXriY\\cwy:N\\hpgoi[lntaIcNioiiwoGcxvtKnj^acOOn]G[IhsJ@_F^jGW^]IiUij^Fdq[IoxagjHNlo?eJ`eSAkx>tlXuVWcyFmXfu;Al]N\\sa]:HqaV^SVo=WrTG\\:fyN@j@obhgfYVyoFi]^iuftZ@yq>orq\\UIvAijXvcfivkHePAeJguW__@F^vwuuHyBwarfuSP`AqmGngrwt:QaAXkLWtPwl<OtffhUgshfgQVdEwpEojHPt@_Zl@sNngoWuKHwyxn@VkxPvkxuyOrsFniWupYbMyakYx`FheyxtXiuydyFvwXb[yy:>khwwf^xmXh_frS`lE_]kpe:_s]giL`ZLfZmq`pf\\ppgTIe;or_ysgvy:N[LQy=QvWpngHg]WhhVlig_a@u^vpxPj?>pqPkBNvuIa=G\\Npn^yhc^]EX]s_jOFs\\WuYv[vg_g@wm@iA`rtpmS`^TYsYQgLFgPxbMgk\\Achw^SGmKOjI^_BIsPfyuAx]gZB_ZDp_uqkAIcZHerwbWGtgfxgh_FoxqF[xHaFWpAAlCvZ[>sdFb>>f:@icxvKaqmfZ^q`L`okvstVp=W\\XQqvHnk?qbx_LpZ_IsWN`wVgIapYI[rimxY]bQyHwo[ikx^wcQaVxlQN]Fwpkis@Fo=f_@I\\Chc=`gMprrih]>`<@`p?lEyy:njQyeSqqO^qNaigNnroneAcHPyS^heYpKV[O^r\\@cKoeNgfUQ[G@jZo[eAjkfbYAhkTqMiieBgcHuculcfvYyEsymaGKGEamFIeGqkYj;hjaYmAUpOuqUbeEvpUGw[tjQU>ufsog`qETwF>=HM]XlMCOgFEefA?e?YT`wuUkfSad;Iw;EXIQRNsggWbEcU@SUc_VnuRrWVVCsVgCPYV_KbOOrPMGjGhTGw^=ym[bTwdEcXwUdTUHWCFh_HsahcqUMMdcMUaSVRGugCcSeXOAuUeVVmW`mTZCUmiRY?hkyF[qFjwTE_x_gDvuXuGwd?uP=e_ohwGdpkx;pjfUoZyOD=rvlKshLaHX[<yhmUEAyamkr`nsXlDEjXMX:evwaO?=thIYUPWm<VpMTuutOTvytjmHS_@Wtxn?`o\\IjfpvvlLwpu`=vS`x^eLU<p<ensmkWmUK]M>lS:aOdtrCINrUq@yM=MugqqaDVueMx<yn@WgplPqu[anH<S]xJSYjGdnjQwGlVblT_@lMdLVulweR\\Am`=xnlM\\LQ<XpU@V`]q`]V>evE@Q>mnyTqldj>Dy[yPZYLFTJTQqpxL[eUepSUHTN=tUQu<InWhs>uRs<N:<jfEp^<J:`JL<r:LL?HVEtsRhUvqsDtwM=TgqnKeWh=mRysw]NpTU>MVZmVJhWE]UmhMStnD`jgQwUyoW=WXAOJ]PGPSaYRkqjcLVgHT\\itoTjSIQ>dRUlWS<XLansQJL<RvLl:TVshJYIxRIp[UUy@kemXgyX`TruLnslk>aLVERflS:TQXEoDLQVPPVPPHDMIMRGDwyhJneRSlLhyY:hW\\yeOGhpx`xI_jyo;po_wcBnwPqoo`^@PuM>ih_vtPlYg_GgsVItZX[HQxRY]KG\\O>hjVnLYnXQs\\`cacGsXwgiwQYKyXVktjivjoF;KdnMDU]t?ES`WGS=bKmsCYskYGngtIGva;hyAc^KEgaFC_GKOWsCuxSTCAGUEV_Cr`iekkHH]fVIv;CboAGXqENiwoGco?SvGTh_EcKXvMy^UH<cWl_T?ku\\kENKtBIyrubxiTE;ydYUA=hAuGeQeAHW]quX<SnTlCQOC`rmAJ_iWQMWIpNSms:LWCmV`iJC\\pWuxWpKC]ygHnKxmk@qy=jqD[:FxOWjfhcZiaa>eEPcyxhDpvGWqxXgPpkWvvCnvBIqBwpXv\\FifVAiSfouWoIq\\`Fk]Xse_ncOldYdGogo>cXfxPXar?ux_y>YymG^MOr<x\\qoeeVmrYjcWvGvb?qdkOebq\\TvmAHveGi<gsc@[LFc>Hm`c<gRVkR:]V:=hUqDb?wukGPOykEFg_sFgyGyI:;X\\yExOg]ayjwWAcGgoft?Yq_F@]Dc]FimiMeXN_FXYUJ]TToeqUwXAY]AEMorLqHtoGU[bBwhmSWeeUW;cEQH>KYn?G?QxYue\\<j>ptwiVnxPPTxTauZLlSTnb]VLysF]OjtrXprEpaAia[WnrQfyEMgGoUwRyXTee<UD=Ggred=SvGMSskGl;svLu_yN>dXgtsKUtfTvpYQMevRqO\\DWaPrFHSwHxrFjXOhs`]XVgR@yu@vShxgx]<GtnwkGVrbHgp@ckIy]?dDX`:fd>_k>>qD@e^ie[Hj\\WZhpZMYxxFi=AxyAZ?qlqvdqolxI]Lqny`pMXbGo`\\yuLOxOVfn@[h^i_@h@A\\dikYf^SHlpIpd>[\\xwrTwEGvgh[Md;aH@mrIMiF]yyxRcxJA\\pMXLpMr:lwhany=j\\yQHYWEepiejTqRkHXg<UWAUc=pE<SoAuaitVDk^atx\\tWiOP`t@MxgtXZXmRIJ_ikRTvOdWxdleAktpKexX]<WIexm@ualXt]oBuPPqXlesaDuWdT<\\wKTS><M_AnwWl@auQfi?YfMi`excB>wYIft^klObqxxkGuUopsiuTGgHF\\COd<ojvNZRI]Zvf^VZ[xy:>[XijJQujv^KXmSPitgydAvoxmI>i@Xs;QiHVl[yo?FwPouHOpT`ppq`TQm=i\\hXs_`m@Q`>X`pRA;GBWEa?ufswV;yiibqsIK[WvgT`GGCawjauRscVIDdAx=aF=UuAyv:iR]CwH;F_wUtAiKWr:MsHQx_uukAunixjot@]SNKeVos]cwl]VwqbdGWeEGxqdL]xuesTKIiQwHKcAqU\\EDkSwBUF?aGaQc>[U:KY<gyeoCnsW:YgPkycChIAsy;B[ieM?frUeIwiqeSUatXuDiCGUMRVoBC]XDkx<mb@GDQKG]KgMeeYaBYsSMICK]i?uVeKeogd_ocnKrScg>CdnMtAgFtwxRqDC]DrQWRgEb;uFgVHkbEqY[WVtsSG=ghIvLICRGdKWSCMyy;RYgdMCgaUBfiXEcUH?EhueKCi:[GjWcc_YoMf<_H?OHkCg[=H^KwHqt;EIHQfricZYIi]TCMVfiHc_h>_xGSfbQrZyWVstYOGhQfcqssYG;gtGsiBiV>suToWvsbiERnYUuIWg[gZuSPGy[UIFMx;ufsYTg[FhSuLoBVqH\\KvVSFRqgugrHICvWI[XXpup\\uMraolMLy@jSySoPtjiyQ\\joewTtuSQtKlOfloN\\plEmauKrdNBQO^elZ>\\:?^DXxIIZrYa@qqM>y;hhgp^Ih]NY`RguAah]_t[qkuVu<HxCY[?Pxvqup>cshm^ifmqcHv`_wv<qih^qriacGvGxc<ApEGhi?omHcDVgJ>ljqlPHbZv_M^b^Y`d`lK@]oGf@`dZVqhUImCYmSb]ihaHTWE?uidWtMuYw_tCGFGGsy;r_GTtyFxky_yI:Oveeboww>kUZcw]YrpIxSIyPkHPMh:mTTiHvot`MdAiE_Ot]Do<HsodtFAlB<S_aOu`tdxohdKmmTyuMyEvTEwGhYQhwaXkEdO<evjeoelp]Lk]HTHilSdqrdXNhUqUKQXu<MYR\\mSyQx]jEyIOgHWSa=YIIULeWocUoib?iTVMFBcvM_s[ADn=I`]RxiDNyVHCIvYbT;IYQErQRDcsaYrAWBtoyPwDx?uYicLOVvickKglAe^uSm_fFUW^YH=KgMge\\WsxEn;uyBpv=PxYPPVHp:uyCylMNyd@\\T?i@wgJ^ebY_Ufk@OuTYacHfa?qWGpsffQ_[BodSNdHF[@Ia?Iiy^kxy[eo`xH]LahiP[cqxLYc[onRhw_gpsPkFYuXylqWiIpu@gvNWp[n]IwlZ>[;ohsq`qWfFGx`Fnkq`dYyM?xgHlJyonidMy^cg`Rfv:iu^foth_YPaMp^FyfVX\\FHdq_uPOaMIvgx[oXmkwtwq^HoZyvudPiPim[i_UVcwwcLwe\\NtlFn_Xx`Afq>a?WyfxcfNsyN]lYpjyt@io`XrahiLPrBYerqE?tXqwH[xfuTYgFXqVEcFBSSnAgdGFq[rHYE=Mr;gGxUErKGusw;eUrUyVGThWfpquqkSpsxQEhFOs]Us_IE^]FCQUhaSfcT=qH`CYhMxWsHEeuRAh@Msmoy>sFVyenEsy;brQg<oxY?RQkU]cw<gU^YyZsGRGEsCdv;slCx^sbK_IDSbPecRQYg_g;gxjsUW;Y]ADkwDCcWoUEIEdEyF?]bBcS<giZsrdag?uYqCxTWXVOhAsf^[c;gT^=yQ[rPkih_XDUYeavL]WvUbyowg?GsarGohRkG]ATsAeDOhU=DEMt;QHHyBF=xWshWoS]YRM[icigcITdMUVqv\\mtLOCLIC`CudcbUMB;=U_IfMeXXsuE=w^yI:wrUyq:Eky=jrQO`]yChY]hV[umMTwKAwQuLLmUdQy@DnaynlDym\\Uc<Q>INjIlRHn@mwj@rPyv<eWB<yeARtpSB`Pudme`WJAvSAUGaNjLrSImDXnCUxjTSXtsMqmRQni=amoyKfeInyww]yAZ<f^yMNyY:LreHny=jIYny=JZCxhw\\]KKyXVaOFxSreRnyqs]h:>yKv_yAZOvbvehyByoyIwI;QtyPVetWNPvEpQ[]V\\yY:LB:ZyFvO>tyus]xy;Bv?sQwiDgWvGDDqguTnMlYK::]ty;B<Ww[yI:ws]yq:;ig\\]SKyPSAmY@xDjmKrE<xRvQNtxmvMyylY>XCOVesWNOfEqqBary=J>Zx:JdxQ[ilJyY:xvKyiZaBsqpDX@Aou^_FxcriB:b\\Agy]:u=?Z:rdYE??u\\wWrCeRyejQ;:rA[i\\Z::Pkg\\qKMkhXy?HlCtI:?:\\ty_jQ[YL:<Fdtg;vf<QuZnrgv]bxy:vlCxirUscGMUIgmrCgrWAb_CSvcsJMws;W?KI]oSYETXwx\\_xowYiWsYcIYcungEouDMYS\\uTUlheD:MYCcra_bXqxYXmexY:DgennXPr]oqXviAirYiy=`hihy_RnAty;rA]tYkhVySyiR?auaYrIihqyEpqcLyI:_xNuDAySviy?ui[Ayy;Rn]eOYTVug]ciKqVVcwRkrkOUQQFaAYw;gAIr;_YcYXfsyd[Bhqf;KevaH@oXFMyLyvRmYNyvRmINir>?Es_rFOfGYCbEwm]ONyvRmiE>kKvb:G_DOjtGdYXF]<[LBDLAMWpxO_lowyK_mrwy[:@q;`\\FFZUi]s?n\\nkkNtQpaAQx]paAQxZp_`frHIhCinTqqNxfRqyNwfRm<LVf]U]UJN\\WVUv<tlxxrlUnxxrl=Nh@NGHRZIt_yO_l?lB<b?VZyuoOdKGTDaCuyeDaCuyM;DXplomykPeLNqkYpsFTyYPsFTyYFZj?^X^p;`\\FNfQpAHD_IbPjZdx<hk\\`KuS@R:]e<McmIttWtkkBcYXfsqak?FdI?db>uy`vLyvRqYI=EJ>@T[PR:@J:QJ;Lm=hm]lNcXhxuSR;\\Gqcs?f\\=t@ITIMuVSyYH=DZsGgVyfFHdkhit^[LwVvFf:BHcybQhMwSNIHGmgwykFj:n`ifnXNeF^y]pmx`xspX`;@:WCF;r:ox_KuswWYKum]_I]ENjbpe<DNoE]]xaAmbJbV<oIN]tM=UtQ\\sID>DrRMiKEXcYXfvSV[C@pJGdIGdEwm]SNBNJcdTOpyberSlHa;?jbanIIpvA?<_PNkFWyYB]BZLUcXPfuia[?fr\\XlxvRA?;oPLkFUyYF=F:KEcY@Y@Qr\\EdCuu]T><^TG_m^WH=D:jbJbvZcAyDXxgx\\_xowQiVwy:>wrYwKA]aa]XVnoHiXikyeEyWwMyVyI:AwrGgg=Uoas;?yMqtUqQoyY:dy^PnIDKwjUB:d^dpm<QfvaayFwQvmpq[LyqnaLITVIW`_FPwhrsXkCcq]ULUUPOVaKW:CBLyWqebsosCSFWuHGMBUsYJ?WBwflOXH=uheGiUs@EH:?tIgE`AsHqga?FgyI:=yREty;rJIR[yEvYBNyI:?yDmSKsXYScWyGp]wYYxLyCyEr^yI:YVNuy\\YBycyfyI:;XPyCxeYVyDv]gbyI:=wZ?xikY<KwY]I?yejGx\\wi[Yb<yQjUlJyY:LVcLU;]vpya\\wy:nmPxirY[avy:n]]XyPv=MySyI:;ffyUvOiryWrAUKZy@xM>dyA:Ksy;R[Uv?uI=wR?yI:;XMAty;B\\?gnQrBegyEx[wiXmty<XPxSxeqAmXfxqmQtIuY;`vy=j]iT?yY:PB::AgygBGyDw[CXity@jTxJyEl?]NPtreiYEx;BZjY@ujxY:tCZXnoenyP^@:=:xRv]obyQbAvjyOxMJdyMverP<LSimilXf:Zbpy?yJJj[rxorAE:ZyFVrJvIa:^p<@Symj:ZXVN:<BNV::jy;S:<Fbb:QfyoUP:xB:rkQ?:gry;BjZ]<:=:hBjQ`ynK:[y::n]h<jgxY:@:vK::p<::>OhBBrJV;:jY:A\\y<BgrY::HD:;>DH:xAZy=lZOJZ;??r[:jA;:Ixd:::A?jeR:j?;x;BZjY::tKQ;:=:xB::U;::\\DI>>VBh::rIZ=;:c?yMk:ZXVN:<BNV:vQ:yA^;BjZ\\<::xBywsE?rkQ?::rb:h?ZE<::x]\\;:wbe:vD@:vK:YEyC:p<jy:JN;BrJV;rQ:y;VBxAZn\\ySR:JIHD:;>DH::ryZF:;@NN::jA;:Ixd:::A?:@:VK:Z:<y;:bAW?:F:r]:x@jP::Zbl?;;A\\E:y<rIZ=kY;^PvI:ZXVN:<BNV:vI:yA^;BjZ\\<VK:r]:ZAYO:n<:HD:F:r\\::;>x][;:wbe:Z;:Y>:Zg:::K_A<<H>Q::vAj[:Zn\\y;:n]]<J:[\\=::xIB=P;;@NNZA<:Y^y<j]iD::jK;VE:Q>::vA:ZXnO:X?=:xB::U;::\\D:;A\\E:Y=rIZ=;:c?yMk:ZXVN:<BNV:vQ:yA^;BjZ\\<::xBy=ZAYO::Z]<:=:hB:J:[y::n]h<:@:vK:y<RE::JN;BrJV;:jY:A\\y;BgrY@@:n]]<J:[\\=::xIB=JZ;??r\\:jA;:Ixd:b?:VN:R:j?;x<GuYUioYdyucOSIeEHgOfyseKkCbKebWvDGE]semCFaivUWyoyvy;bjGx\\r<yErGSb^rKwy:V;ybxkBIQsy;BZou[yI:]rLeF\\iHxafoqxIcY=exicQ?QxTxXF`XGmRSpvwDx@PK@UmE@w[PkLqTjaPI\\P?@jEmNA<nmEL?eWIEvmxyf;:::2:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlK2dGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiUhKlJGKi0lKUNISUxEUkVORzYi Figura 21.2 Tutor Antiderivadas aplicado a 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
A curva azul na Figura 21.2 \303\251 a antiderivada de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkY+RitGPg== que se anula em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJhRidGL0YyRjUtSSNtbkdGJDYkUSsmdW1pbnVzMDsyRidGOUY5. Se a caixa de checagem Mostre a classe de antiderivadas e o bot\303\243o Exibir s\303\243o clicados, temos a Figura 21.3. Cada curva verde \303\251 congruente e uma transla\303\247\303\243o vertical da antiderivada azul. 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>[;vk<>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>ZybwQrhuyGCX>EddQiPsdpsxwAtmiWgcvgaVTMbmEHOadZqyMSHq_vV[HRgDOaFx?SIGTIgsMKBTMTYOsuWVoyv>osvOXbUEk[UXARfcid?IkwDXaeJaXpggIMgwQDDkf[=SQAY=gfpMBj]RfMI]=Fa?RMceaGSMyrJ_hesgIoV=CGnKHZGr`ERc?e:EyqCCs;yVsF]SrR?RhaGYyx<cvnSfdyxOAEYwb>ggEQG[]b^MXrEC^GhqIbnefjGfDeTZ=HCAR]uhFKrm]Wc_IyICayejQRcAfyQyY]YOYvbKycITvgwiSr^EHE]TtgyVYEQaGuuXVCHZ[IPTnsHY@XMs`Lx`jthTvXS]DurukpDLcyxjEmZmPKTpFILhEnRHSVDPZMQgAMoipWqJ?Qt>YTG@WwHMOLyHaLspmy?vVwtlay_vY?dGevylqUyiOvbQHvyNyK^piXy_yqrQo]ai_Wvei]uFrx_^OapOW\\dOeVFhS`whXt]onsqdonfJwcDyhV^]oqolXtKWtih`c`heX^m_aj`sJapCpgGa[m?_>nr^Gr=Aj:YvJQkbqvCHlqvl[=WW`qYeyq\\Aol]yatY<qoOtyvyPyelV]WXppjixxuLeyx_tsfLPdmlqxXPTk_TpZ<LTmjLlwapw[uL=dQueTWykAMmnlqTPpxlT_Uwuqtj]UxInulKbHMLTqlUuRHOxMnUhKwXyKeSPtjSiVrysx]JgYoMqwqtYOXs_=yIchiDQuekQyypqdpmI`OcQupDoptmZuxmTsDxoRPvW]jdmro<lAaQj]m]ToO\\xoXLkulVeTvdpu=N;YW_tRnPm`TOaEvo`UlhKkHK^LONmOqUPgMtmuX@urX]lu=NnmuYajy=JbirLyqiqjy;Zx=cw?WT^kfDAWFmCjABCAYe[TvAbCUfbydtiGDsudqRTWCAcEHETEWVq]u]Gx]ce;miYaBHIXZceeoEYUwyNdsqiMvY=w@Qty;biqtydRQYO[uYRDrqXREtUO@YTDP]IosTyO\\wkiRvtRj]VkhW:anZmptX\\DphoXvgp_:IgYofMixevtxpt@YknFgfodEGcyU\\CsNKHVosC@VJ<XGxLDLMttyiPrY\\x\\Dwy=jqUsyOvbHu[a_=vy:>[pVl=Xt_ygxQ_j`wvWd`P`eY`WYs\\fkyfdWw`CYcaVc=X`:P\\_VdxIpRypDyd<H`SoeUFxoikHykmwifxrg^pCAoYYu^p`pxs]fooXOaILAW_CdNQRf;YNkEFIUSEIxadyCVQ>yioydVla_jyAZbqbLyiiqlyMOEsoeq_hxmEn;qxeXO[evWxXQdwfqSG`k>\\WZur>DPXyJchlIHVyTmbQmHDjiAOIaY>US[Uxy_sPNl@gkFN\\N>h=^kPpe;VdIIh;a\\uOjtveiNry_x]FgywxEyikadsoiMfavf[_xYyXEyaPWgrwk@gcYocMy^uWqugkL_`uw_t^tiPuEn^oibIYakArVwfvvf^vdy^nroyQqdLaxUXx[Wi`p^]xopFlRNQIe=OYscd;wT?MXtwV:gt;EGA]HDSIiyW<Wv==FgY?kqix<DlnyouiFeD\\wYF[Ikge?ii^yxLCr>ExVgCS=v_OxPgUpMSVYv^SRVYHC[YHUWY?bvYhPOVrSGk]YiSgqETmuGmGR@;w^KERWW]Oh^SG@WBrGy]ce^YtE?@:c<yqJYK_xix<Qwy<pqtxbUY=typUK>MKXxeyEnjPxI_TXwu>:ZDhoI>pqvxbWy=vipWk>w_\\wjQHV^hiXYrMYcj:RO=WywvypWJapqqYgqLBpU_ukiLrySK_xiYi_NvbPxvy^yAZ<o_OxYs=erOyqSiwwMuyXpUYYnLUZ@tlcyp?myUwqAyL[;ZyWywvquxbpYiyohEd<wrQ:::?<ZOZm<::::::::::Z<;jDjS;::::::::::J[:R?rf:::::::::::bJ:f<VP:::::::::::NB:P[xArYiu]`wGfyTi?KSXwu>::Awl[yajxEyimydxowIjyvkjx@XYZ@tl;:::^wGfyTqa:yUpW;XrE;:ssiM::fdyAZjx`quxJtdJI::ZaJ[Zv[OvDJpq:uCnKSX::::rQZj\\q=RQ:::jxeWYvUpG::::Zj\\u=ce<::ZaJ[Zv[OvDJpq:uKSTxy_j@g`EAiMfcu>mbfdGHuRpm<>jHNhwWoC_hENbZxk>XrKpuKvy:vrdFagOuXyxGWm`hu<wuYxcXPqkIoJnZ^?Z]Iqchlth[VfhPik`PuUWskWhjAo^>_uhmGqq<wkL_Z>py<Wocqtxi]Nq^b_pYyjpwlhAo^Fh>^b?pdbIcfvZwnjmgevPq=@]^OZLGqLO`IFphx^=ypmHgX>\\Qyw\\NmB_f=pbHPwpvkc?fCQfhA[F>[aN_tNjwFb[`g>YsYAxIPuyGt`FdyEUItylKOYMEuYIHWm]ntyj=UMUEMWHmJ]U>]tJdQsmKAYjXdQdTQwYK\\aXI]kCEXHMjWeLNuyaiRX<cIIuryxgAdWOgQNuiYrIh[VQwMWkUHsnIs`?q\\OodPxUv`h>u@qZI?fu^tWanSanLNhCgxcgi^qlAXrq?dCfox>]^@xMPxtVejwbfof:witNlB_hr^tu`ie>^]woSyryAZWnoaWrQopmOuAg[hinmwnV_pKgoO@wO`sKOsjOZEA\\rFlVGvIW]A@xZQxnf`;q`KX]TYgQQdCOvJvdggmwXrso`K?`rv_FH[Xpcj?[dVn`@]L^iyhoQGgEInnYhCAwAA\\jPwqigevhWoy@oyGhobOmW_lTxuA`hsaxqWpgf_WanF^ie`nVGiK`qf?h^N[rngAyZr>vO`sbAkMAyQfesxZsVyiWvB@wipcOPo;GcXp[hNl[PeNwt@ohqOuPVoy?x=Hctn]Xto_yPohHGtfSwC;RDUSiWX:kr;iHB]rnebQQuQsBqMuOYRY[irQTisDAqhmoXe[WLks@oTJGIySFcsFuWHLCBUWh?IH[ybOchBgRVQyggeOgiPgUaEyKObKItmWU@wGveyAUGUQvPAxG_FI]uWGyZ?V`iGqYBhGxYYXGEh];hNIXKGdfUtCyut;tj?UcIvW?voihyORHYI[wx<]YMwWi?YMQTkouT;hxCfOKHCofsMca;ycoF@]V>=COQcdEFtIr:kSl_Xnwu?Oi@Wu]YS[Ago?DxIEuaxPqtKcb;qCl_TMAhAKeRWRqIXT[Dc]ulettQrXQxxKteSCiQuYaUU_sUWFP_f?itQ[dJcIrwYOycwGUeSvy;bjqdd=FqmIN;yYAYg]hMOVceB<SuSgtfMgEMuYoDC[UUqYIQR]aSPaxueSg]bToWCWW_=cgaW>cfG_h;GFR_cVKTOwx=wxHKvB;c=qgjyR=ey=SbtivM=UdqTa_cxgYMGdseXeMF^sDLibYmX<yshsxhgW_ux^iYfEXQwYmexgUuyLrUMo=`k]YsAxnwYXxEXKeUUuuTIUIUyoUVGo`JabMYcm^o;F\\Ovhmn\\UAj:^ZMXt=f`v_oFYvvgajq[gW^MGtNYgCp_K`nUQwpolpyYEuD]c[ci^qHcsXJEEEkHH=HlMI]kVgyRpgirUd;UrGYTvorpKHIWcqmBhovP_cyEuimfsCc\\=Gjit;KGs]rnIR^whCqfdkgNwfEeH@[C;]B?sss]FywCa_X]asOAsI[i_OyiiitybyGs_As:arJkyNKWTwyE]woybOCvJUESgffqhpoH`UdsACOuyxGbB;TciUB;XSsXJYcPyS>wy@QdrqXAoB<YY[sf`wtgMed?FnYYPscZCxkSV]qwgueu]e]evTqyEity@tUQoywqJwY]IGyUSOyy;Bwgcty_YjIil?dSwYT<mtTinFlxThJVtTPYx:PP==Nu\\U<tKZXyFtkDIrkyS=aTkyK:lWvEN_=xnTsSQVHhK<QpREJSUS@obqN_giuXPa]ipIgyQXoyAZJYudxYyHdyExovI_WwyexqRWytxey=yI:aRKkFQAyEww:]CvWyi;WtoHu]YPOi`EheYW<ogKkg_mrB]CgOfmYX`iCgmUlAs@oGAct_yx:WwSqGoYybgxrQthYv?Ic\\US@UwLCcFEbp=EVkr?sdUAh:msBEyrwviqyEity::Zn=JAUO[YxShQrQomeurQJjQwDupqly]XJ>mTFdWqiog\\R;Qr@YWrHYb<xmQJWLYjUO>pyHmm_IpPtwNApv\\t?iwnIVh`PpUY]ilUYOvlvltYsASsUUaHQ_usD]xIaWwxuxqJWytxey=yY:`rKiyQX?=?:`U[PxAxJxtLyUvrayrQmXmV[\\WnUQWEofMlGLNyHNqmJA\\NJHr@]UFXvitNkhVuuQ=ym=ewEPrqPm>YlxhkcDspuPKqRKYMB`vSlMBQk@<vJ<RluSZtm[UUyivdyY:\\xpPwyxXdyMxqnI`Ww:uA`bOhjHydQ?yZvxXn_Ehemptvvqave=peGp^qP\\Bo^GPbnnaaGdC>dp>oYF_Wnr<NrYXZhGfLahwQ_YaeChgnwsPvkKFehapgWyqWann[qgxEQlVNiI^loqo=YyiZ[<yGNjy:vQ:iRHuvO;iKUVdyHXuguWgUwUm?ILgRF_r^wi[qxZqgKMBBWE^QcaoC]ybPsHxeEv]HIMsSqU>YVMaieIi>KhwgsQIeK;RRATDGEC=faQtGaDlsr<yTpo=ZyU\\hiQkJ;ZsAeV?wy>pAwxyOcy>pA[ayy:Npoyitmir=yI:XNuuoQyi=ogexy:ni[xy:Nvb_puhjHYjuaZywhnYnuAZywhnqoyWyiZ[<:y=bt:QfI=yV;gyxKhqYNtyZykhqyOxSyivd?Zbmy:`Gjx[CPnIAqV?WJ_x=rsNP:xZ:V<Z=;:EYY?xs=Ty?vIqgx]Ty?>itIuy_xY:<GyI:y@:rxjCV_hy\\tv[fI\\wyuLykf=mwy;BuuwQwi[uxOwYyAty;Bk]Xyivd<::FaY?hs@ty?fIpwxaly?fIlDyvy=jldxy_XvXr]SYiy<:NsuijH=VNC:W?RbjY;::nkQ_uh^hY>u]VyyhnY>u]ZmwYmhXy?Z:Fk]<@D:NhxHvmkZy;KcyjO:;BtvIZS=fYR\\PsuijHYJu]JyyxnYNu[Vwy:nxXwOH>nIJyivd?::^]i@qV;Ncy:Xh:NPZuu=<jCnXrJ:jl;VQ]<vDJ:<GvUrI:hIV<Q;:Y^cQyQwAB::::qAfbY@HjaDwA;Z::::VYJalVQtr;iitoiNxIRh::^RuA;::lL[]XnyMRwncybpEwuyDy>Zy;x;Zw=MfbShEW>::::::::::;:::fY:::::::::::Z::::pI::::::ZSQoy=ndwGrF@yE@fnvsGnoZPspWuXYuBavhnhbpiIOtvxo>yjHotif[Oyq>i]qobWigVnbXisyAZnokbXZrNZ__ZLx`XvZ]qeep^KPoCW]Aw^DhhqnbRffbG^[vj[X]sOoy@xEx`wqZ^vy:FrowoyAZUfoZOtT?k[iwvYccgZV@hEQo_XtAA\\@_ljhucV[<`r<Fia^mmGschxqhpMiwh``gOcq?pWwc:oj@nhI`_vVsA?kpH[VglgVt]Nwtvt\\oqQfhZnomP^K@tGpaQykvyjM_eby\\Q`^UvmKneIokXhh_XqK`x_>aWNwVQn:YxeyeKvcg_aMv_F`hp@gSfe;?tHq[Lq[yVvmYuYhoi^jPI]f_wvxa]_hTIljXthVdFikj^eEvdJ_sZ@pL_rIxlkwvwxhY?xE\\^ZwwoyA:MWecw<qgRyhS]Y=EYhWE@AXTYU@AsnCV@siTqTMcCHqWLwsq=GrwE?]YQWfZoBtCw=OwkWUfmTL]EB?RjgYrshK=TyGi=[XLqCV[e;GImoy]UVEeSE=BUeUH;WhqGguewoSZkGk[XDSUlqbAsElqxxIG@ssZ[F<gYtscDCeSiUouVaWvLubHcxsyqJxY:lScyj>tlvPwA@UyqVTIxiqyh`qYIOuPUtumGiYwHrEMuDiL_axqutIEshdUHYu:mXIyn:eQi=tbeu=invILPLTqpNVqJvIhtW_Mgr]QdLawUncxIusPqnPqLixO>gX?_O`dA_gS?bTYnsPnu@w=QlvvnIQfeNaOifKgx_wkAxeeygy_wWfnyGwcnopv]ANwPOeQ?kvIcc_Z]>dUPey@ggxjAhgGYs]NwgojmQsSfeDg]]IaU>cfiZowiIfvsXeuhR]XSyDuUXEmfq]e@AfwSuR=wsaVxiTRwwxuWc=gxwxeyqClxYdlFMMkxRG<YF@y\\UsOAxxemghrxuM[yjSMLwhqnHWWinplRaEwU<kKups=NS<MBqp<@OYqNiewXdqUHNCIqpIStYlPANYyY:PuT]UXDyT@jiyuhix\\ikqU^n`P[u;qx_YFygU_[HuWxFydnespYX\\YxWCgTaGt]xyDVW@uXxWuMpu`jOpQQUnBTxZpRZ=KfaKXHY?Iy?hny\\rI<Y=Uu=YMumTRXL=um^uJCeslHVPTsy=jfeLXmS>Tsa\\MSIXM<OZpO<=ko\\XBXWJmKgdo@qwrlQXAYyqxQ`sydWeMwxxlEyiCDtSsm_CxYedQyGwHBMfKMgrqRwQTygT=ot@KIAmdPAH=_XcyG^Si\\qvgCO[hmBIy;trrdXJMxmamX`yaQMatwVpxkAmgaXe=kJASLilHdWNtW`aoGAjRDs^LluYlXdp`Xyhqxp`nuyuIly`hMJAUmdrPuuwuyxppy<yVxQvesUviIioipyAv_yA:EDnktfEdOyXYyI:wcgyGxsrisYMqruywsgxoyq;Xsy=j>kfDtOyPYyY:xsgxOxujitYMpruywsixoxi;XsyEkLQEllbQoUywyJy;GtxYYxeYgyI:;XsyQkOqEn\\bOoUywy<H:`rKqqumYwewy=JjEqy=jrge?VknfdgwxY=@BLfxXyx=JQDr\\eSOTuwyHBjbrxwxxIZvu?=dRUX?qTYiIy:jqtuy;j?=tR;:rGZx=P>::liUvwy<H:`RKslcSO:FJ^RhI:tL;;:;@?A:jEnfSOne<h?j@;FJ^RcmldSO:Bjbr::bR::::j?=DO>:rGZx=::Zvu@YyiZ=ZC\\S;rP:U>j:K\\KPZy[x=T>J:<FDht<vQj;j>IDJ::p?c;:=>CPYiYy;bE?>:>RNVy@:sqE:::x@:r\\;?::i;nYj\\FeP@gdlY;A:M>J::p_SpfDhO:::::y?V:FK:;:ZE`@:FJ^RhYy;bE?>:>RNV:Jx;::rU::::jU:wAJf::^Yqruy?V:Fk\\<:q<B^MHYGbYMxTyq:K\\_s<`s_qi`fieyguqZdwutIc?gbkI\\`yiavs;Pf_Wto@f[hfH^]wwks^Z;>tkibcGZL^yvvsTygHFixqsLqkuwy:vrcxwWGjfghaf\\Aayvvy:vkEpsmvY_RuQsy`n`LQBMTCqVtpxwPQFtrkiv\\xr_eJ:tRULXDYLvyVwTvwPSDXKWtuEiPNiwnYSWTuIQjxuv<pUTYubLtSMPjMK]@lIMLB<mWdKIiLNYP:moZlMcDnZ@PK\\ml<vM\\UjurVxmidnjmq[@xXXN\\ykBPQ;Dyg`WnXUgPn<Qu\\IVf`qSumgitMQqUYSvDyfHnNLlOqytIx:mO=yRK]yYiYCpLMhpYHKguO^@y]TPEEu_qJHUmQilGPwEIP>TWcptRDnvAQFUYBTQkulSdwkhUU=sZQxh=VyeqEYRp@RXMVZQlEYJm=JSDseHL<tktmKGqRDUQ[ExohX^DtnlmLAsmQn[TLkis;HK;iw:]k=`M<HPJXWHiOnewtYT[yx;pnJapeAkodwTpUTum\\DY^YpbPlVERdtqu`Q[TO?YNhHX_YUFhYNilIdOrulUAthaXwYn=IPYmubmXqmlt_^aViShtghoUx^;vhfHhn>n;xxXWfLXeNnwA^pmF\\Yy]XouN@saok_w_FFpDInSI[GXr:^dZYjH`jJFbWFbAf`^q`twiH`onwgIfy\\xv?yhchh_HrkOvlVtu`u]`_kIk\\vj`O]c^aqHhBPkmhwffrUp^cHwtvhG`wfvg\\WyYNk]fqLPw\\iiYvxYXqUwlNy^so]yUl?cCgD\\qH^CU;Ybmct:oW_;hw[xypxwXynYVvEW;qqohvQlTYPlfyWhTtG]t_HqpHpU\\wPpJ^aQYPw@@VFirFyn<lyKqlNUQjYtfQt>XY>yQ^XUTEYP<lSYkeEW>DL^LRseMTDy<<oWqwFenE]m_mKs`NTtx<luIeOSpQoXufyunyiKwYwWbyI:AIOuu_wyaeyAqitybyeSK;xfavtGtMUowylxyMoymuMwYlYoxRSyiMqy]xy:fi=K]]TVUKspQn`vtetiQpy=jMqy]tYwYry=j@AOuyOwyQdyqq]ty\\ydYK;tvaptFtmTiOpyUtyibxy:vuJwy:FxdpaEyy:vctykwixIvYobb;YPMXwAwCgxduu_wAZAGuyGwy=w?AQhhjVtMTMPwQwqDuy;pATfuy_w=j?ArmXLemrIeoPUyidIxHv]_wY:JrlLleybIsoQOYivy;Z]`wy`X:JQPJHyclbTvIZx\\]UY:j\\:::vkmxiMqy]lxJ]?Q>GntuGjupbTHc>WddHoMpgZa[Dwu<Anow^oPa`QwXAuZpm__kxph<F[gnkvtMybo;vCMXwA_sxgBp]evy:^j]?bmhtZnjLyioxe?qfTnwSGfDhaeI^Xir]vh:IuFhZv>pbY`N_`yHkt^ZP@x`XnoG]vPxLPv]YypF_hi_]Ik_QlnFh]nrAhZ]Pu;?dqOp;HrGfb:qwlfibkQumbuuO\\YqpqELNXUWxpYIhXdXu^LxUaSAlldMXnPWlIP@ILS<sQuRZXLHXo_HTvYt]PWthlHEQgiODIwpin>UPGQWbQPYtydIlPLU;YtH@VD@jVIsoU>aexIr\\cYUauKyGocuniEVSS<ibGQh;WUNgwuQRsAVlEUs;DIgxUGfI;STosiEvbghu?Eh]gCqSDEUZ=iV]x<IxpSu=ARVSUdqCXmbmODr[f=QxCgH]Vvnwy:FkXW\\y@pEWsCgxCN\\rWvPhsxFrZnlnYa?n]<?lF^nqNs:?wmom@QoIFktGfQqofq]DqwHEomTXivWghn;H?YHG]hh[CpgmvpOvMl^DS<LPBujuYLe[AarY_[dXuCnke`\\qQhAg]gXpcQtCpwv>s^AiT``@Ie^F\\Dg\\tX``>adahi_yUGnTAi\\w[KfpFQpRaeO>\\RH^iV^k`_DfjfIb@wZ^>fc`ZaI]:vuCix]\\ev_BpmMfqT``p`t_^fyW^nOrSayR`i\\qdiF`sY[tHb_ixuyy:v_X_cTxZG``wyh>YvBWtZFm[QaYoxD`uBikY>m``dBOs<>qb_usffJ`]J^p;^t^QyKMh\\OvqSjyXY\\Qa@TstkVDoLHOnhyLuWyeOS]l_QkQLumpkhdqmprOxUE`xB]QypKq`k?doTmYuDo>EptDsVlJMYm@=S;To\\<l@YT@mRCpUnHJKavtIDkwMkYPoI?oyaIFucytueKUYGMFoTVa]NeiMuDrfTOjMps`kR<m^=V[en^FeFqly`\\vy\\nW^PvtqY`Ca@ED;]dPaWl[US_B@oVGsduidvsVDwiw=bkKu:iWleAmwhyf@kiXwXoWUCoGa=sxid:mxwYvfwWlieC_sagc:gFjUEjWf=OuAQBXqxL]yEKVucYiICW[VisvfUtBsif=DCaujmR\\aFaurfQWwKyOWFTAbdMXwA_rhcaNv`_kvwa[Pwx>^EfnEYoUgoJAeqhcG^qhgv]O`BOb]iajy[s^w;VgtywH`hGY[?YpbQenXd=_]t^hqvwjGlnPj^Fg`gkXAd]H\\?y]NXqVpmlHZAQe:VwlfibKPyN@hpSdPEeuKqWgQvpTlHeTh`XqElDMTeDyf<Nrdn;ESFlQVIXdQyOyY:dWuLL;XLayqnIsy=j<=Jh`vtIDMwy;RTmtYYxVyI:wuasIDwin_wy;baIiyuyIkINEBmyfP_SYOuagY_iFyiyIiYtyQ[yrpilQ`YqyqqIwygJ:RT:wuabn::::J[;xAfJ:RT:wuabn::::J[;xAfJ:RT:wuabn::::J[;xAfJ:RT:wuabn::n[IOdy_ayO_`hhu>\\CFgjyZYgurpyO@gJNbJPhB^ZK>t=@snFZAaiDw]kywiqndGyyEjODDkY_gxpwYjowgwi^]tPaHpgvH=yssIYwtYkxHOty;bnaTQGU_QRmECq]EDWsUkRZax]Gc@Ciywry;reswy;BfgU_yI:CgcqwYOry\\V]hXyuULyiKA`PY`VanGgySXiIqwAgaxgfaix^pyEaqHai?xy:nqQ`yeon^`aN_eHvguQ`qA]lydYvwi>yLi]h>xayxe>sAquYGxh@lkidiyfEWiqOmQ?e]ibf^sAU:ihCaV_eFkuX_mx[uy_muy;BIibewevyI:UvAmxWsfY=IXMyvYsAUOnHwhqWgPmdEWFLrpuU>drp]qk=V[Yuwqo^LYaaM]mnUXkEYsSanpTt:mK_dn^]QhQRq@XDpYsemC<WI`mZEjXdTSipNySUyrQ@mehYQHYFDyExkq?YyI:GeQyI:YX>yI:uuEkiocyPgVGWrxkx=mVfSfnmV?ctfoCZqs^Ovhqg@yTh=VymvXyI:ss[uIwywrIdwEuusivyrw_xyprixShDwPuXCUwxdnfULxPJ]<SlLXjUO@EqKXXldRviXTUxLMOc`Wh]SdmrHIsVyvyoFRByI:RnuY`:RQArsMures_MgIQGAwXU=f[cu<ivg[V?CssOwi;sX?v=WUaKuV_Wi?vVCyOMsyT@:::ndfip_OmyWpIgZ?ilIquJns]`^n?sZ?ci?n^^kFPk]qa]>yaartx^>`aAWi]?vyG\\Aq`YxnWYs?VxUpZqh[VngPOdyPgXYd:@uUAqIHvIa\\@_n^ooRPb\\Pmvpc]XylvxxIiIVycyi@ykfYsYIy^yaiinye@_eQOeX?uZMWDsWg;XqmE@;BbGXLcE@;iXWWY;XjesfAUWERq_WmYeHQt@Sf[gDlmScoRdqGUEh@]w^gGmChySXiyI:wvJwixyTvAwx_;ZtH`Mioa>vdowbWhyHuQxqmAsywuEoynvi`oey=jeeNNXTr`mQmx_;jYHeywvJxy:nQfn^pgVQtr`]Yqx_wW:x;y?RGmwV?skmRXES>Kw;ScM;bdoRKeXoyx`gErEWbksg_DhWsZwiPsbvaCp]ukgxcufQCXhCgnMsYGeQ:Rn::UieWiEeWXAwgsUPqhsms@sBisHSqU;urkaUOyDP[vJKwQAfiUH<OVoIdlYHBECPYbRqIJICqcIsAxecBSQYkUCYyI:=rIawE:>gxasw<jMijw]VQmTpYTGIMLTKmqQ]ln<PohLt;XwlaYSuQ?mwrUOXqmsPquXtLmvkqyoHU]]jZAKEim:tkWAqCQOGdTa\\vJtOSTQyeuy`saeWlqNNiltXK>xjR=kLAjFQQfdjSalwqm]INAAYcXTxyQoxstUyYeyL`lMuY[viQiqAYxDhp@OyN`aSOnphqiof]hdvXth__iPnxPjdiu]GiL>cOatkO_l@l>_kjfb`gsZavtXjLO]hHqcPgQNeVp\\k_eVQsjpbhi_`Gi]G^KOZ<`c?Hc@A`]pqCOwtN]K?r:AvuWdj`]gvm=iclNtGo_BgheOvpI\\_FqK@vpx_nF\\Ea^kxbrprTO\\`xbUVvd^sB^uGapKfqeGve@[vg\\yAZBVlGwhgVjTgqu@c`FucfkSAmJHwG`qsHrX?mgpusysn^mJwZuFviF[S?ifOgXhb_irEQwIX]VapKhrTnwB_yvPo@OkDP[]AjkFl:IrZfvInjTPeSIuTibePgjYe;yg`Hrlvb\\NvfAuOp`iq^Q?p<O[hh\\qxfSN[AogknbA>nZp[pvcAPqcgpKY^A`dNigaAtn@wf_ghvdEyfIG_KPlPodL_o=AfVNj^X\\lax[vlyo[fygidxGvgSgQmY\\OugQsDGDIGiZMDSGDC;CSIrmefWWWoeDBKSQAWAYWAKCIeIbWrL?DvUcamVeMepSh`gwbKgQMi[csgme_Cc:KRrwF@=YSUF?[SNaUDCS]CY_MhD]cNMHrUGIkyLYDvcyGiwDgr`qsMYEV]Xk=CqYxBuRvoGgWE<mFjSBcYC=[clCWWuRfID?=RkKuy;R=poOLnWAwPylTTLUaUVIuIYYAQTdiWh`q^mYXLPxMTHqsK]tVPmyDViqJT=YqatDpXUatNqo?pqYhYStViAxCiVUQUChL]erJANLl`kh^YXoP>aoVtk?b<>jrf_uFvpWk]goSQgkPgTGlPPsBOuSY`JFZ]fl_^b`?[TVbNHrKXsuVZmI`ZF\\iXiZistvw;?qKQediwZwmQWlOwfLWm>xkufcnhfIGsrXv`@htvvTHwyP]r>nHNa]ArT^gtpnCHo`vnbxb`FlcWgc?]Yg_>Ht;_\\kAZuallIwm?^_>cy^hhPtcnmY>yqgnbQpcww@Vnu_^tggFYhTWr_IbLN>_cjASUKfcSDCUx_UemlOUIMIIwrIT?ovova>>gqxpThv^qmfwdt^sk_^Lybn@]Tq`Q_ulFaVIsSfhgOsXQe@X]CoZiVZrY\\E?xh`qtirWhxgir>Yy>QniG_]f^GIqpgd??d]p`EijK?jS>j:FZHXpDxaT>Zmi]yFv^whXi[Lahwpisiwhhwn>wfy^uY[^HpBIpDwsEVoEo]bYua^_J>_fgwwGrPopow_=vsiPgThppiqhpudPw`VccfgfOkfV\\cQrsgfDx^?N`^^r>I]NnjJ?`fx`LVIkK@xL=`PGUrDuJPey=aWCiqxepqAodXuDqsbPlldWSdvMUqEtcCAvT@w>WtIFyiw_wayyVvKGx?SLIyMyI:ucsyI:yw[Vxaxy:nmmyiYYrxi`W^\\;v^WxavyxUpyxy=AgmyfyqmywiIBocENCbacuy;rvwxUqIxyekYfHyUxYyGuIyy[KAbLFiMyYYXXywu=yy;b@sStyI:IIiyxw[yy;R]ITK;RL:::::::r=:::rGJ`DT:ykmyny;::^`DA_;nynwY:::V^yPmi?pVykxveoQ`yG]xIw_@k;^[yfx@y_wq\\oh]yEykEqyuoiry<w`hnIdYFyqomridyP\\p;tRvQSeoy;=XN\\uTUyWuqjdyUtES?uWIMvRywAxqeuwy\\wWd^:NTxu<yQlIltxY:xOcxQn]so\\RviQyuusuyZewetYCespmqTxY:xkUyqtQyMty>UrRuskioHTpjexN`j=\\UP]qT\\pGMvC]XSMnnmLu@UhMt@=RSUruTo?dXddTqMysIkXPnnDSVqk>=XedQDDxcIUEloDXlYdnZmRUPUytlHancqXH]rb]usUTeTVxyqt\\NJXPVYLHDJphxUEoNYucqXlDLkAYuilA`YmHrEyp_ARqIV;AJOyTWUm?=Nc]R:YN:xLRXx^]Rx<T@XXm=LrxNjxNVtTwDSmQSWyL`MxNAO_TohylaETM`UCqOeTnSMuDIXUqRUmWapUfLyR@ttuysUQnaMaYLXqUTIWktRgAmwEvJ=PUYR=Xn]MPhTY^Yx:ex]dO;UxalXnqLTpUQLmCdMDMrVPlkPn;tlh]v;HYV`kF`TtqXUhkTXQiEyaULX`VLmpWASwAJdqXFHjMLwbapUTtxAnVhuguqQAUbXNQywOaJiqKSXkmYyPtUrpMfmYJiY:AqqynipjnPPXiV>MtWIsVTPIUOrLvueLaHwvIpAeOLTwpessTJIyRNmOAadDqkSq_x?d;>vlAcIQc:_aEoaSnbW`f>xio`_BharNrM@y\\indxgQwwxwaja[YQpiwfqvxiPxnFnMawZapu?cgGfDhu;y[L>^B>roAs=^]OI[vW`\\hw;^_]_jaym[NmfFxYIfS^ycwjD_t^OZC_y;_hhvZVQxKO\\fvv]>_;w^JYxBaxbh`gv`>ydpv_`Ou_xqOH`DvwDfqv@ksH]DVsuH]^yf<HZZYj<xZaGx=OyxYqOf^QngdwiPxm_Qx_NlMIekXu_nlZxpKx^XfbSQuBoxJxhnAs]v]WHcXvpFn[\\_t[Pm<Ab@ovNx]anm\\ycu`kjY`=hwMqai>vB^xwoeIIvpxk\\ik\\V[gP`yvZEQ^Uwu:wppfoZNmGq\\JW]j_Z]>`VArON\\KnmG_gS?cQyy:>Zv?]qXlU>oigpWn^XavDov;GhEvu\\^`iomWF]HNta@^HTKot[_iLEhjocyWyQwucYwQmtpOE>Kbu?c]KuV]fa[UVSvZkH]eIAix^sEOoWvUygAx]mRPYV=MivKyqkxwKyg_rT;VmsbYQDZ=HKysGQhm_XpKyFwHekyXUdocsm_BxqwM[IGodGuV?wVbAegGhsic]UhBqUKmeGId??RHauh[EA_vVaF]GMeLWyQlMIvqPkgiXGxQ<qtPMlbyxbLT;iqMmWIInmMJJQOsHM:mwm`TOIS_XOw@m_Qs^XmKyxxuqMqtnekHQUcqyIql<dVNqlp\\l>dl;=wpavkmWCxMBdpWpV?tv^LxVQuQPPulyvUYpMommMCyUthYCEmydLGIyaPUYARX\\X=MYb@W_\\MCIMoYtRyY:hXAQs^XOiHw[ApjMwpYWq=RUxNvySWMvtlxa<TNUSGqnipvCTMuatGttoeYx=RodkDASlLWpLlFIK<lWg`tt@PhMswIV@=qUXPHejdIwtikPDNSTyu<Q`MkjmuUYjnLYYXRfMWwtqLIpyhk?`pbqsRTX]TNIlmmyxNLXtpMwTy`INNaPEXO`MLGqMC]TZUsE@MVtkGMs;uRvuvNXtX<Xq]msQTvdNmuUZ<TRqK^lt<<wlHjlYwt=ryhXTYpy=JlPtoxKB\\L\\eQhik:Hxx\\SmXvVmWSpqniy^pTkympPMXuMmaSX]o:Ds\\TPodqXQtWqTXmNqtLhQPJhRmIQq=nwitBYYAQJcpPCTxjaNdQmw`xuqQvAxrlJldQ:HTsty@\\YuiTuUQEeOtxLu]QJTuAyxRpR;XXAMTAqUWdsG\\TxAR_MTWaODHpculT`JcHXfDYlQolqp:pJDpPoanI`MIHx;<Ua=mxeovtXgpNQTVe`ofAQPhxy=JQdxwxiy@wyHk]aolweWOwfW^La]AwZ_voWx`[B\\GhYAuowvawdDMdAyHK_xMiv>qGaCfJmi_?yN[xSqgAmUuYHJkSmKSpqXKexy;rQixRysWevpWueywceItith?dkYs=MYxMfWGBhkemSRNIIHyI:mUxwBhsXYUbGSiJeuhqUOKb_oDSyCTiF@OR]]xFMIZmb[uSHIwGuFcmHiCVEgXdquCMBlEb]Gr;[E\\yCMiIHKgESiguyaAd]Gd^qThobroiQEvbIBEyCACv:sFDIhLMfXUUyEcyGuVoWwahy?RxeYDOHCkgn[Fheehihe;BB?NN@qWyPxQj=HLVLlRexrdOW=jsQqxdnrUJKlWEAUB<MUXVHmrwhM^xmA@NGuVWaUSXvthtgPksyNwuJFiT]uNpUkiXYFMPu@LDtRMmTvuPuQmeyXXimphk?pQOTwgylUQxnLls]KQyXb@tGpkUiY?esaTSoxY:XwtitMxJA`QiqmTpyYTkgiY?any=jIdwMqyxnyCPccwy:>l^`Zpqprxaf`dbyy:VvuadyAZihpyUnMCMyUxMrJyI:wtgyrxOTiGRhAUdMikMSlICqMWruwYKTvwBaeUA_RwYSECRe]R^eD_WE@Kxj;rXWvXIipewD;hyobtodmeFvABNsGnECgOvxqYQ=e>sduqh@QHE[b_kr;GiA;uB;CZGDV]uZyxy;bjitYIGTot[MvugYQkTkQGQkXG;GVGFDUysgVqodBItmAcfYeVCHYIWsyrhqsfAXogIgcxhwf]YuZWv<qrNYRA?GuiUiaGJCIrHKbIxYeplMyxYNdhR]UOgTpJqMXAUoeU\\ds;]J>]qpQT?iNvdv[UL=\\YhunPIsb=SB]NxlLY<krItouYMdubiW\\ds[mXnyxmavO<upttOAwJANayxqukYqRp`qMiolTjLaQpXUUTYr\\SH=u`XWflMCdMpTyNyimhxyGylqpyAZ:ysxQrUP[Bqu@Nkbfx=`nvhr\\WcKXplw\\U@gNwulyjf_wVWj@hf[Ip=XrrobiQvxWnb`rjPwjgpxhkqghaGoTwusyc^NlRXnbodCWnOguj@p\\GxdhvVo_CNdF_uHVwuyaQwy:vmevgva[yAZfA_Tnihpc?flpxieYxyAZjpohWs>qafFx@akmAyIWyuvb>`usy[nwtEVh^fgTN\\yAZbV]D_`@@`>hibIkJ@fB_lJPwTpyYPvBx_ighEXyBPv?xvki\\DPbmPec?o\\o^bFvlAlupcRorkol_V[s^dFNjEHjMyiaOwsyrRiomxy:veYhy?TpoxksIxqxy<xmxi[?eTol[HoYAiYpbv@xaAkinw_fqPpukgnwIm]opH@rlHk``mtFid`vCbfmdVqI?MC<GYiCsSARIKEhsragiW]wytMUxY:\\yFxY:\\wbpyHmtyxv@yUyUjyTyDTwbPNZMxy=jSQuAayrYuy=JZkAmxpIPymqpxY:<ySxY:<elPkhvZafyW`OZyoxNviaWgYVx]ygyAZ;xmwijo_lK?hsvafiWJ::AwxqCPyI:yv@yEyS:QCe?w\\=VlyI:IuTy::y::RRuTScBQWrMqyHk<:\\LyuVeymmUviyY:HjYhY?hXNDTjEqy`Wg;:IdwgUf:JfYofPnEHjCuYaUG:vamhpIHYi_:]tPsb>qV::ZK;ZyoxO::mAZI<:be::vipa<:FjYltJV`Tedx?xvSqogLTqDpsMKLiW]Ym<pm=qtYxUhdrUExY`YFDlywo=wYAW;ctQogD[v<ED?[T:ED?[<LjExY:@ykAqy=Jhxoy=jZPMPxQoApy=JQAmy\\xT]tQyY:HX]IXy]uYuY;ePfxY:Lw[yY:lOkxY:@wo<NHXQ\\uDgAci^tmLPQUyY:<Uqpty=JLMSeLYuQLA]ywtYYKgYOyECswEyI:=s<Ygxoy^yQ\\HVhxn[ywtYyIUYADwYMYDYwp@xy`Y>poyXWdySwULGTvwLSUikkAuxaSYpSk]rZIojxlBEqyXRpIUSltLyRjLt]TLZxVqAYbesnIN:LtR=j:HymxrPANQ]o\\dtnXKwLqjmju@MTXNstx;H\\]qqHv[[ae`xjdhudomHFtgqeCO\\pIxGfq=Yp`ibKfml@suojZvfa`[eamHXgTPhNgxd^pgYbS`xMywUIxsPiXIw;_qQqvBXqDibg`m]OlbY]=v]iI`a>uFvvOngAN]pflTvsUXmuyj^NoF^plyp^^[nYZZx^hAoS^aNodei[Pyn`QnfPap_l`@aAhuM?^R^^HVmO?iA^tqPgxokx^tGyoVIpEhsB`oD>iKVbVPjmgu:`[mWt`@asvvahhQQydyslfmiYnxQqyPx_npKFwPf[wGoBios?_YgaJY\\sXy\\n[uPhjw\\YIq^>m?ij`YoMXogQkNyy:VsDpqZQstGia`]yAZtp[Xq[qwfA@u]Pgq@ddQp<ppbI[l`kHHiRVxU^u=PrpysvvmOh^Nqnthlg`xZp^oWaTGv:A`>gi@IbmokjwnMa^ag`xWwDWyxofgX_efwKyhmifsafkXtZHd^nlpAl=hpE?q?wZj`Z]am`OoCOvg?_sNkSfFiFCErgEFcuxq?f;YrsEdiMvUaVVyuy;r>Qbb[cSmV:;SWoH:kr<UIxsfaQeLKsrKDk]DZMG]Cr:AbA?VeaugWYpoRC_tLQTKues]ToYyp_rpKy_Ug:_is?Tfyw;sVBmCIcUw=GiUtc;K`YOemUxEtoXoG@UaUn:ptFxXp<XV]OLhU;aMF=RNEy<HpC=rRPyNmSpmO;YOIIXD\\Laey_<YClrquxaYwa\\ykxsV=yaIrtpWAxV`hUbMuXhN_TU:doghnnlKBQV:YOlmoDlO@lR@dqcPmQPJvdQuilLuR]iJu`U<ioaPX]UtVDpFDVXXPNHVmuP>\\m^Uv@toV=WPYPVYKE@VPuPwir?yoB]RtIlKyJmLjm<YMImodqrtMl@OoUqk=JWpkCIXhykByRxPxx@MoisyDYsMLdqpQuW]iXWuYQuU]tq<QpILRPXOaXr]<UUIw[Hm=EWPMVOltvTPnXSVxkpEJwHQAil?]yRiTvTwwAxMmr`QuMIrmEwy=jRyx;]NGQs[uNRaYQDqc`VZqQXqXP`mquwXum[UOSuusLjqLledlULMCTVcPoHHMTyY:dMsyY:lRyqkrAPryj?QuTXWXYMD`JLyOY]WTaJeTq=aVsDPSpqQapL\\QP<O@myg]Q;lsqluh@WbDqUeuvYstYWxyV[pOUHxalr^HT^MJ?@joXLFpR=aMfqWbtsXXOfMPGUscqoSaPeTwpMpRyS@QT[Qsi@Vyaxm=lspVUpJ_Dx\\Eo@dOHTNZhjvdJyhxIyX@DSIasVpkVXx;dN\\TuXMUfAxMXUBEQFTjexK^qYoDOyYnq@L]XwxiwUYstEUxeJwurCUToEMPYSuhVL`ruMlF`oCXT]lk;=VlAKwQoi@uoeSypjLeXo@KsmmOmvNxO`dmQxNk`jquSdAxMePE=py=JmxWP=S@QK;YYQTjWhlAasZXyhuRR<JFHloHQ\\\\UX=wtQljLw\\=kF=qWDRLAYp=qx`t^DvuQSkyY:xtoIoVDyM`qMXkhyQZyWmyLuUcUYrHxagQxiFx^pyKytmxmrybUvy:VZ]vy:N]sp]uXnvNgeIoTigZ?[FAnxwjTxdPapWxnxq^pweqiyyorExrxqixW_vYkqyiaywxYlxibQnqkaZDYfGgZ\\VfKivuPb=Xwqx^Y>bbgc`NwZqjPy_TiwNOjjpbX`dSwy:>g^wltY\\H`m^offxci@wJArLqpaPg<_kWPp=PyHNg=viw?oYX^I?pXHuInusPqLGjAWyeftIxc;ww@I_xncgXstQxJYmMYiCIspyy:njfNgQntpA[DHtCa`fHhN>`hxv\\wZ^n[:q[a@nbh_gnupNahpnBYpdf]cXq^qpHgn;GwX`wWIxbiZIWf`XuSqlOHu_@q__rqP`:`fJx[iA\\:VZRAZ?^dZVgSHbyEB;GVIXgiHfyI:GgYygqMynmShytLQIpgwqoxq?WuuYYChWWw]CcxeyuWYb=dfkxIwBQsUSIHVstrAfm;RwEhOovLKfbaFNKrO_DokrPoXbsRjwbMWbIyvHgEl;BwUxPafyGcXAxPWFUSGPmBOSR\\EUrcvY;HHkSwACnoreeCoYEGwYBkvgmXU]TbaGJmS^iWRKhASGJETtwvX[rTmRIisy;r[Oyy;Bl?xPYUyeuYCYK?spqhmgVvWwtuc>EcjyvrsFZ]RXYHBsrvuH^IYeIEyMC_uTJKgtaDMUyXOGqqfvKRBCBESDN;v=OcW?dFCGvmHtkcdwyE_vrWDvcg?]RhoSeKh>SHd[enSDucrRsHl;XZqxUSd<uHvEB]gd`qUlgRnaB?kDVqwJGd\\Kw@urgUuEWVkqWwmcnqGeqwYyd_GHpqejubeUivewqwipwGMIwAsyYOmtUiti^cnkqNgJH_bighIZtqfd^iyGxwIoyAZQQuyAZbal^xali\\=pywpwy^mOOwRYwT_`ua]IAjvv[_GvyO[yvjhx^T^pINhh?eIqgZp\\Vao]`Zqhu^odA^tINcSYpJaxeie<WeRAv?nmpOqG`]@Vcs_uK^`KHhNHgqgfjAhHoclnsYOdH@vH^n:P_[gZB>ohpjRak?_cGGeOOoiy^epfXgmZHwTqiZxxPApNHhhg_gwl:plPXv>frL>o;f\\Rpgh_wkWl?hbWggfAcF^sDq[polrvy:VwowryAZdHqiy[rwr=QyxIpk_ncwpHxxJHoM`fK@]vatFf\\X`awiv>>oa^khweTWp]@iYHbOihp>pMihBoohOvEaq[^^LOZpx[f>no_xonb_Vugve@wiHfmYndjHqvpprgvDPvp>psGnOXcj>^jYbFvfeQdTwurobMYbtf\\`XjnN]CGk[p`kFgH>lfAfqoo:Aq;aulgaGifWYgXV^@Xx<qyY>xwqwQPfoW[EWySpwi^w^Hq:>bkAZdHon>eIQmlGcwNaOweD>i]`rxN_cWd=yiL^qONoRVnLv`KHvEpnsy[;NpiGqA^tPOhT`cfnsTh[iWrPyxl^uUGwqGlG_`c_]Lxr_PamPo<>\\Lv\\JHnBXZphca?ea@jf`i;w^B`_vy^WnqiX_vPlYgb[PpHawyAZwWk?Hsg^uqyn<oyxVmJ?qMQvkyq=`vvppB_vXh\\jis@AyOyxf__xfu@iwGxk[Xo\\Vt\\Ie^vi<Ye[aeH@[yAZ>pe]ykvymbpxJY[lfnFqi;VqkQ[rojiQRsxTKBlQyYGc[oDr_C==svgcuOXvYfLwxy;B[ywLqrK]VdSB^AgG_S:aFjCi\\SxxyBkygxqBYMSwyI:CfRAyAoYQktWaCXyhOghEscFwwE[IwiF>CsVsHIwc>oWF?DjAgdcsaUeDsbZUGf_IOIYcOBg?BmUyy;RrACgGhYQHdAEHYXpov]kYLUsIIioyI:yI:=R]_uCAxQ[rKUxy;R<If[KVwyAyumwyIOUiWy^AyLGsgibYoCvCg;GYVYe;yI:UbMsSpKDC?sy;rc_EVIw]AuMoxnub]qhy_rLYTxeyiyQZIp]lYLTsIIyoyqy?j@AqEicMvrqFdnnlxi`jarBPpv^gAojhnaPobd>ryAZ`pxZwb[YdyOroFxA>ayA:Axj;txkiR]uy;rgcxXoTY?xkqty;R<Escsixyxy;Br]sbwi>Qlv[:eQqESwFDugiaXuSCiqUrquccXEIgheGXsUE[El]ij]IcUFhwDr=Uc=tuaf]GfeOiPyS]cWqgss_ti]ymEVESUu?UXIgayT=WTdsbTQrFabwWI:;r^cyboxnWyDuresICg>BZxRva>jyG:]uWosEWVUoV?kWvIg[?uFOhBQvWEfuwsS;C^ysriInwbieVH[yoCH>[EYAUr]vayD=Yty`VdiQopq]IpPyY:LRCIWyqqqxY:<YF@wy=j>:>VWwLwY>YG\\msksiCwb@yQ[EpkyiMPopXn^@iQqc@Hai`qmGve?g^QmrF\\^@xFAvnNlr^b;oyWHs`gf:NiThaopa\\IpUyi<Iccwy:naqxy:>yF>gyA::<iQi\\eWnrOvbacg_yeGvC`ZL^pLGl[YkIHlQywcvy:fcgqdAnjx@^KxmrYcvi`yA:Cxy;ByuVLghZOi?osqkYL:F:yBv_fPyumUwy;byAb@Cyi=i@kyZIHygdAmR@eIvCxy;ZA_y]veJvibIhjysxY\\Mvy:Nxoo]Xymk?ueyi[a^nxy:vmUwy:^y@^`yOrC[x:hpByY:LroDX=DMXHpjEsXXN=YpYhyx@NrYW\\AkeUVIdKHHxImjahxAaYyItgIOqUKWxXva>::J:jsyQ?xKF\\QGuWkYx_@YmtRjDrjqXxaWXqktDK_]v\\]O]eOtyPbdV]@x]QKUmmT@Y:HXIDMrAvaqy_Hmy=:icOQbWQSAYEyC;xA;nA;:`q<qwmerplyAXJ@Ys\\ew`TvCqMOuoKhOvuLsaNxXsh@VxAuv\\U:lUI]mHhPsHW[@ylQWLYOb\\q_IvQLkRmT>yWrmRaDMPAj=xKqLYTdMRio<ur_uYCvCJZwBZbxiZI`ip`Pq?AtbOyGgdHIGkyr<mxlQETiv^mBYQcV]bRYuHUrhUIhyI:iVXWTIiBqEEGmCiuDeOuJWTg]iMgv_QC:oFWyVjiUVuyakspsRcYgYMD<=cZwBLmckMsxKT:ohTir\\yudUGk[DQCSTSENmvRQcm[IXCG:=F]gtMsyByLuLXvIv[]oXHqjaRveyy=JMEwyOroFxE^arYr=IiyfxevsYhygFnQwjk?uNqfD^oFAhdH[]?u;>dEVulGZH^vK>l>w_Iqyu>elFwxa_KpogWmAqyNnfDhhktEGvcGSDCWKeuJQfqkBeKFqgIRqeouFowWI_hc_HWMIyAUrEv^[D`ohPYCy?s_SSQ_x?cvZQfuwCLsFs;YVWFc]Tu=GnSsPqYSywwCwy;ri_rY]IGuefyxx_xYyX\\yCxovdEuXAytuxM_tnUEi=UriehaHSWvHCwy;B[WDtUeF;S^[UMgy=OxjIgMufTyI:mhYEsrASkwx>wsj?xwIry;rUMiH]iJ]w?qXEyqXYlx]yCyY:`rKqXEyY:twCuYxa^:^rNqnQQvYwerYcvH_IxeribhI`siyt@ogxuIxmXgiG^a_GvQoqHhthgnG`icNhv?qSQk[Xfpaw<frY?giivxpacInQWjWFkin_ZXiSWvHVbnN`gg[Un_xObuGjPWvyuNMRuCYKyQKUWRmupxj@mXtij@IOg@yQUrPmXPQKMQSk=yPiVRPJ_xKDuOC]qs<vF\\tqMmqeKfdXwTqEIqkyo@PvTtYnqpU\\QgHXClmrtxN\\Ui<XYPVuHjN]JlqqcMoOQN?QvA`ridQfAqy=JJpVfxi^inOvsrojqYegwiRGtoVsgPahiehnrjibwfmUXue^oTIhJPjG`_VPjk>lNydWo^TPq_fmYVrYixqewWZnaLUUrwUGQbeacyevC`brxmAxqeywy^wWfnyGWWwp?xsoR[]hmycnCwy;Rn[coaCqKWaxidYmrVZxXgHaxeAkf`iEOv^_pwWtEa`@orpFwSxm]?sI_esGvmawV`[]gaq@koVZ[WnVae\\xgN@Zkp_swh]gp:gxsV^DHviotMYrxx^Lyw`^kwfn>PZ@qwj?[>qsX>cVpm:i]BAnoWgjX`@Y_HarGAgQhxMqyI>sIymSPqWWtuyxYWltFegVfLFuroiVqlqHk>wxFPilXjK`mkwlxocwv[RNgW@jPygD?\\UWcAXaAIg_i[qiiOAc;AwE^[mWjOWlgq`T_gp?yENodWhP^^ZawIa_IOpi^]^wfWFZeXdYFpAygZHw;odmo]vwr^ibX>h^waXagni]HIc]IoXvqQQnrFnaypeQtyvtkwxhQuGxtpihu@sP@wkGi\\n`Xau@w[`gakAtqG]SvpqWh[gnSWoB_bk?oC^]konC_wOF\\swa:WaOIeXfaPNrMqck`kIIhZNxZxdioq:WsmvpdycLgiGIc[_n?aZ@Qw\\IchvwRWhv>m_VhOAdyOZuy[Xonoxko^xYyoK`piohQhrsA\\Pntov]XH[UWc>x[Ope_NlQgwHQhdx[apesa]DHijawM>ZQytqxxfGiKpel?oayt\\?vI>nahueI`=Ga<PuXqvxify^apOsBveeP\\QvafyvwFxDXkxwqswx]wjF?jHx`;`^]At]YaQFwmiidgfRv`coeYwlsA\\wamxx_sgyeayEH`bO]vndgqgthiypl:yvlogvVyXPg=FvWH`sGjih_sXssw\\HWmIxqvFtwYmgx_iY\\>Q\\uvodvkeo]@qaGpkk_x`QmaGxf>cqGucwl:Wxlqckig]qq=wfnansy\\?y[<yy:>lCWdMqmYHvy?sYw_XGpiguIWgcprrfdUxxLVhIa_ZHonArKWuantUgi__a[IgcXeUX[PXyDPx@FeAOHos]?U:gY@mbk]y=YFwyb=?h^keZUcP;hISY^EGqsdBUY@CCiKctkssYGJue=SSqky^AxWwR;aVkisO?rQYRY[fQcgfqThuimic;]S?yHa;UZiGIcidOviAhB?ihah_uwaeyVqDNaHeYyrkdu=UHSVsuRLmD>Aid[GsyrvoHiawris[sSPYmqQvu<OvIybxSapOI`YLEuwhkXPVXXsWlqaylrlO@tku@KamxtqXXxmrpklMuEuSFpO[\\LKISlTSGQtDQWOAU]anapmD@vVTVjaKw@yBersyY:hRB\\QKyN:\\yYqXIEMdmtkqPMpYcuvhTleevBMJAlQLaS]dQx<TCmk:mscDoeHUePpsTVyYYWyY:ttMytnXWEYSuQVb<YDXJAMOOhv]EnMASBiQuQMepN=\\Kg`Ntiu>mxlHPCets`jX`V@AyamN@uKVPvaXqLewiMluhKghJ^MWFtxK\\kB=MVtkkus=IlQqteXKGTWH]jVUu`Dnf=MxhwsTukPY@=yaHQ=eYA`mLxUYuuodYVUTWMoiPmx]pQTyk]OmqMmtvgDpKqYxdpl@r=IQVmJJqkuAJpun>pTVXL;AXE\\Pl`NDXYcpj[HpxhpxxkHiPTHqJuYL`m]IpIIN]yM?xtr@xhUkutLeilGHQ`Mp]EsvXll=lmtWGUyBUWYXytmwrTYEmULdSyiuqXyELlcMuvMTS`nlhpKts^\\PdHstMlbpyDQty=JbUm_uYxYLvUoyTYUTtYmLiDlWMO:<JI\\khyUEHLMHRLixYLYSloy<XLxojIoulyI=sQylvYyvyqFmQf\\O[DV^lxpIttLXSDNJyrJEjKyUdqPPPKxXv@ll@UUVXsEUq]=NWtsIQtcppGDoBUQh\\Q?QykmMRtRFHxq@V:]vOUOWTnFYTEDSeqwk<S@mM@inRtk<]smukhelCiSgal@dmAMnVqqyTTdTmEemNYJe@jPdqPeSHmstUJ]Xj=XU_]maUQkysNmO_@KtpvVXrgMlAERDppUIN]EyYtjE\\yRuR=\\NQxLqULFewndLLPsaxvrDlCMKjTQ<pQuUy=tr^lX?PsTAWT`VQ]k_mmfmWp=NSlw^HWFtX\\=x<pXZQkUdOsmyfuKouniYmxyq[MkqEP?Mm;EnRmWE<P]eXb`nthRv]sU=O`un:pMytPjIOqEVhdXeUyBdlPQS;ajm@OZqW@UnY=n:xPZYpTMLIUqFiPPLx]TmNyQNPO>qYciWa\\w^uYo=r^pMwhY?dRwmv[pP=HR<tvsuoSant@L]aoS`s>LYaUq:Iw=HJFPkIiVwmxktLWUqy=J:uuxtnaTosQmPiP`XU@XvpyRuYwMTXs=wlqlbYRNUj^dutanRXvK\\UbYK`MwtaLbPk<ekO\\pDyn_]reIsA=O`evypWIPS^]PSlms]y;UvKlPYqqZAub=wH<x[AKs=wNmKWHu>GdF@jfQ`=oftx_CvusvtohaH^\\G`wnAqgNlE_kWhwq?^s_^@wsYgunx[Kxy:faBFsZFjR>eDggNieyFvyXdd`dgqdnvmSyejyy:Vk_?cyAZ]YyNwYYWg<jbaL^xQlilApywlwy\\mNAwy=j]uxMyY:xooxY:DTcdsyLxO:hTcQuHuR;QV:PSj<VjIRyyq^ET?=prtyC\\yyPTvyP\\YngDUYuUCApopLHAQ^ILgAUX@u^IYR<Os]MnXrqq[UIhVqc@n`nwmG>wTod`Py@hm`h^o`uDIs^VoffkrP\\R^kmF\\NYZLipcI`HIieqmH>_=fmYouryw;Id@Wbqnx@_pD^kVnfE_e^wdiFvIWZeWtry_<qqQntvg`\\AiZQpsHpwGeogc`G_ZahHPuR_vR_bMWp>N\\NF^jFqU>iZIjRYgxh\\jqxsh^vPqhXlFNxUIiX`cc`^JPqiYuypvG`lZiwVOjk?rfxy:>yQomHnsHwkiVtuqcmy]tQal`lUNi;fsCAxeirBhhSI^Mq_M?dtPpug_`Nyu>qEIeTgrwOhEI[Vyy:NxLQuBGl@>]FFfDQheWf[yy:>joXkYF\\bwxTfjpxpHVk_g\\fApTquW?r`H[TXe=O\\np`aXs@QfXhb:>s;VaEPZUq\\iayevwAnmt`bah]yNvaGiyAZAIoyFvX?irVhwykhViy_rHYxyAZI`duy\\ZGqQnkvFa]Y[iIktqdkHf`husqdQppEg[WImod_KHLGWsIUTsRMswZ[s<_R_OCNwrL?UQQUjoBewXC]yIMVUcgfoH]ighSdo_DC=YCwfpmXuEgaeRx?f[Au<Ks=eWLACEcb^YBxidapXLen=py<ylY\\ytyLxiliYj:@RLinAiiXyikQwXgrFxvh_qGNvgQhqirTgxayjiaoianlpqYXrkysbpb_gpvPfF^ZsOhlX___\\=Pl]pkAO^fXgXVZOy_LIhc@yxVxO_qIXeuiioyvTIvUQoTI[_?gZXknOoDIxAa^EWy?iky_h:I`ZqpJAyu?vZAZT^b]x]oY\\vxy:VvNymjqovY]GxqRQx]ynvajiQaywudQgMX[RXlrY_@yccxcnNyWgy>ysw_^Th`YYuJqoHp[_XheVq`AbRQlXAcN>[>AmSap?xruvy:V[vH]e@i\\wy:VbsPanoleo`I@hoFrpymmfsvXxgQu<vuk^u;qaKqjXoZ\\y[K_cyAZ?HiZYvQybNxYshMaQ:FdyAZDvx;av:^hCHpyURqsmwYIITfgu<sfy=FvGWOwylaWoscDORTggh]gaAYuARSUHs_xPcs>IXgiIZeDAselCW?mSNevCYsP[y?CXicuJURoEGqoT_GI^oYUuYxgFpqTLQRt_gKCdukBqcsaMEDkdBkBxSR<EhWIVrIyZKXj_XCyswaBiIyy;rB[dIwBxycy=v>euuMgqyRyUgJCgjEym[BxqEOoGviu[SIiqcbOexSbWihkMDu;yhEfEUUb_iUIblwxRGtmuWncvU=e^CGvWrFcy=MBX?wp=iGYgboXt]Xtitnsx_cW\\kTK]EE;CkqrmMsBCxfKTd?saUcw[blyuWgv<=CxqErYixArlYvMUyHYhy<NviQjmxmiYKDoxPyWlvy=JnexXhr?`Swxt;QuvPXUqpG@VgusEEkgINI@SHXSRyRpil<auDuxMHSplV>PSIDKXHtNtmfljO=WmmOxtLeyv=MyGQQbMTBinF`urqjJmu<xTLYrbPUI]LsyVT]VkhOBYTr<OhDR_]jTHwy=J[qUrYqpDlilYGtotPyy=jhXNxilaYjmxmfIkmtY[YSFyY:@WdiQEXKRtLYtKvtSoiX\\eyCaxEDLoimGXRruvwAYWeWl]vp]J``nTak]PS;uQbXOQI]OayeVvEillPt[FtoYZ@fmhfnfvtywgBhby_\\qIlFA^;ovsYmTx[pv_XQ_b^^GHrxOgVy]I^iX>aT^a=py\\yhY`ytGjjYx;Yr`xkbVvYNxM^q]yYASNSIPstsWIYMsrqS=aCQifK[ikOGEeYEQSNaHgUhAUcJEr`UtFCcIqTHME[=EYCX`aIAWvjUH@<NouMH\\yolOcmushToYMgMpygfXPZ`xxJG`o`tLx\\WGp>IfKHjphdVw[oN\\K_jSFfWhpyUrwDXlsy=jkhvy=j;imaui;?yuCyAux?sQYgwufsyEweuCETi?Bsyw>sUF?Y=qDkGhsAHMoWiIUf?VEGcuqS_UFWqUgofKoVrAhHsfHswBCYPkRxCS?sbUYujyc;OiyqbocuTyHumYeERkWWbuigEbmyI:gsRau>ot_QXAExRasRsB=]Fqat;AxqIrZyI:;S\\uui?yS>:KwIYBYury<n>yQrYpvxIMgDUsDEbmwtlYdi]yCAxPut>UTfyVNQTEqDNoRcegbqt`KXCqIQUh=gRtgFB[CuqtCiUDcG>UdXycjUxLsTh]HB_XWQy@YwgMi?geOiwwauLugcuwxoSI?HvmcpmdY[eLgwvAfvoVjYu[wY>SeU_xcSEWuhdwxauYeIDyxhqQt`vaqa\\wxy:VVEy[GIqWSVotKIvusu?[yl_TUiTJyfjgI^kiJUuH[tLqFdEWQITNKEoIDE?UDCC@?YKmBpMD_;rcufiMWrQTmQTP[YMEYaEGaoIWgHfufIWhs?DjsW^;Hd_HRWGNCsxaXbYx_kGS]BP]BywCvSFUoRIOSrkrWudOcyAuYAKdYwBx;dvcU\\MtwcxuyCxtj;UQVmosqxq@xAirq=pYqnMDvUduspon@kfywFPU>xQkAPrplT\\LlYslaSSqrLLvIxqnhvm\\Pg]NpQuaUru`rMlRL<YyeSuyJsdsxttGmLCxLFUyb\\SGeX<DKC`ut`OB`JRlTfPP;Mx?YxjYhkxkfIky?XJNyY:PbZywtMtemHYxy=JIdTuEo?\\Sgxj[ytDXvDdw[pyRYtp@wqHLceKueYJppQLpylwEurgAMNmnSulb=lhlvuDkgUoQhJx<MdQPdMmGqpkXNeuJ:YSCinu`PNmWg<TehyS<trPkKqp[imQhmFaRh<s:UNqiRyQkmIrY]xAxlkaTiyAySrwlY\\Ky]vG]k]my<ylSxY:HTNUYchJHYw=mu>HxwhLvtTQMmFMxrQmdUwDaqsdtXdXFevZpJTEqglv[TrkTXZtvgMO=UNFDpi]L_MUvyQkAtOiWYxTjqsmPObExYERsiX`HmnAyq\\UUXwrqVL@lMPoNdugtOlPPs<JjqxTpwAXRYyj=Hl]LsylWaHYsyY:po^xY:djsAv]uYjDYyekHYHHtfMmE\\mFuYG\\QmMnIdWudoLqvS]n@mMUHKghNTtvPDX^\\sxAT;EPJtT<YXrLlptJLQuutYR<YaAusPTvEp?pYKxY:PVETOUpVIXtjpKoaqeIMFIx>@mvdKDpQPEUC`w[hY`MrmiJhlYX<yuxkrUlC=JryMTyxY\\iY>xi`aW^myESOtIWyCmuy;rkMwXGs?aCYICrYc?MygghPwGc_WQkUZesh=TYKWe=yR]eRgG>IXFmI\\OP^YVq<w]utVhTiIlcQq>yLx`PKeonyvsHQPqogxOMMXcHWf`YB@VP<qF]N@qvGDv`QU^mrv\\x^hVBMlYxJXpky?ByGvMUXyI:\\tIxJxtK=TjBUmSlsHDOryY:pxqHYcESKEVmMKwXp?uPYMkoyQAPPbQu?ps\\LuoavKioN=xedr>tlFmpPav[LxlEx^tqkExR<k@proYopMuPTNfiOnUWwqMmyRAHTkioOpxQpNEQnDMyoipcLkUunpIK^]TS]khANelpTMVohw[TUPtWvIJ[inl@mhdLjDoMdL]`tv@VgyqnQUYxl=uUBDYKXj^\\S=eRU<LoYQHES:yY:xvqHqa\\WRaU`]Q`AkryL]aKcHmjXlbxY:<OMETQ]qMIVgYm=MWMxRjTU;YxaPWIHQmavK\\n_YP:aOLUpk@RZUX?qXKqtG<k`yp=yuoyxYlh_xIMceHVFhyxTwyXXoynxIk@@qYxjyXWiyQfiM_xY:DwcpoUUR=xPqYvxqm^xi\\HffxnsHdfVwhvjNojEgmEif]W[VOcB?raGaCVjJYvHFhdAdQIadHuYOwT`[thfnpjYQds`kdQlIQjTG]Kvp;wtKxj?WvV@[RYfKhea>kpiuVQebYvRNq`FewQvFpoZqa_Hlw?b\\wbDGsHHghgoaXic?[MPevXuMv^?fgQiv`wYCUuatmii\\oirsg`ghsieyyWe]bsmcheThghgyq:yY:@Jx\\wqqjoUMWUu@YJ@QpfDkW\\TddO[\\oSTNF@R@MQimopyMZpjn`opEWTTvXMW=iy_UR=<pIiMXXRLiNoYZXVrav]knomOrPFpU?y@xx;o[Chf_`eCIi_O\\Kxpf_nG@joo]Uw\\VnmE?vjoZtfcffofymUyxfO\\KV]Effl?ZBWxFyjwV[:v[fG_=vtTVdgOiyAZPxwvqkT@l^QoNiiQwsi@wxntoVp@he]wdnWcQxklNlYa_evmrpq:QylwrYAZ@WfwhtmxvfplP^cAnw;_rLyoYGm;PsI>fmwtXhbxfsY_dkNwqWcp`u:nxP`wrxr^pkIVak@tyw[QanQPmpHwTVtDGkhnw@Xbv?uDX^yAZG?]^WjfIZvnhBiohFqvwql^gshhtoiiNycAyPPfGwaEWtCIk[Vpo@kP^g[_dHfnIXxavuTPnXI>CwUcYFeCsCFyQG;SRjuyj[F>YFxibUmscqHtwWS?hqOefESsOHF]custK]RAObc]U^uyusWYIV?OgbkCjsCDyR[oD]UYc_fyygeGwaswTYTWwuIEYxmvYqx_OrFWsZOwk[RsCYF=g<qCaIBCAIpaRJ]iEMvgiihcfGkIImux=WqciqGru?XggHTkFrkCGYF?Se=CyNMYkMBOuwrQCyyGl_RdgISyvesy<srYCH`YWGqTIQsjgWVsx<udRaYluWhEFPKVU]f@mT:EuxqgjmURoWSIHQ;yssuM]HGqwmYRQkXjWsgGG<UVeExqgYImVY]HEuHn=WL;R>[WS[DmaBxkR?IRdqVJgG\\cg`cuoosVavmmHc?xxsI]Or]sDZMcbUuMOt;Uy<GSdSEL?CP[X<aDfsxbYyy;Bi]sqWV;UrlUibEuEmYxqRXyI:gtSyFXotsmDocy`qYQqtQ]YIGg^iVfurGkT>qvXmv;evxcx^UH[[C]mCHGU]GD:HJMxM?uW@pSYHKvetwuyCxVEtW\\esHLx_mke=SXDo:IJRmJ<HLO@QfurWXWNaXwqREItXqtmaO?pyl=pd<vmyxN@v;HRAamQ=MvAVrYx[UwiqJXQPO]oHUPaIqLyWihnlixUDtFxk^ASA]Yxqx<uNytxRhWF\\KOiRWeuuPn\\iuhhmQYVyaJnAOgeXWdoO`PsqQMmVNploHME<SwlXsHqqUraYWImlfiPwpQhUviuvBpOAeOgAOSAny=Zw>baIlO@vZamO?ioYjegvUQgKi_^`oZHk:pa=_[aW]IuIYyReydiI>kdtgeTEc]QBdsr;_DF;xwgD;wERYfj?wIsxYGsSQrYQxg_yYgH[ichES_cXe_U>UiekD=YhUGyGCc=MrBYyRgGu=FNuuaCHV?b_iioisDMXq]u<QsR[WxWt=gx`EytgGM_dqKUgKs;CThUe^YFR;YRwGcSBR_UXcse?y@KDJqDlYSECumQSCagAIBVcT>Ov_Sixqyi=fFcuuiEXywhwI:eYoeISstm=ypSFV;rguVCmsusVuExEgYsiYyQbXYWyayAyI:irOUSGUcHSIfggieGhqhZsUdeTvwVaMrdwDWytv]hTSwy;ra_yy;bBcxPyI:ivaiVxkruUgTSSc=EvGIbCsIiUmKUnacu=h]IBrMU;WVcKwGsYMWSnUukwSKKgDyr]?yRMHAcI@sbOuVsuHg[BIaHqADAKdFYxB;Bboe^oeOydwSx_;XkAgpQXFIS=sS^kfrYdY;DEoEVIbYcg`QdreFycWyMr_Ocn_es_yy;b[UCqsXToXIsfLOH^Cx=iF=]tK_vMEEK]DyIFUcY?eR_cwnWXGUSLgCLmGF;hMCt:chaEvmaEp[uHEipwea;s`UyVOxoiC]qgPmEH?ha[u\\sFBMIjQYZ_FVOSc;hymxEEE<Qrc?vRmW_IdxYIPchxyUXyW:WHLUulUIY]fNuw^_FwytsuYYAYEIg\\Qu\\ufXEiZmXjqREaGfOHuGhQ=lJAu]EuwIRftUOxuWEWtijPmNmploHOtHucIsGlRppXUEmEDS_HRm=mIpwXXsT`UwhKdPWkTeyOnR?pLXhVxjv_ibXaJNaKXwpHqIP\\YWruWvwO_A_rpPe^WhWaZfw[p^b\\f^_w^]`_f@\\nos]qmA^aou^ieywvuCI@cUiEWsOgPoywyUEUv@gGf]HeUWukF;_HimCT_flAEsiRO?hKmGIiWv=BaCIbIYWkDxauUeSiEWkWhc]RWUXMiXNcxBmRygxy;b_KcxSB[Kdo]CjysCscv]Ei]dSiXFKeq[BVEShehuwWqOGZkcG]hFcGjiipkTk[RjOhu=DnobtsEGwunauYQg;SxWaU:QbA_E\\gcZySpCc?ARyYGQiHUYeM]rPmctuI>AWHMSDQTXOyy;remW@]uy;rkgYdYVxqyQui>eFA?WSsg[kUeGYagTD]D[qEXUCfYFiQXyaxMYfyySwycxqyQuapV[jGZyncOPoRYw^o]gwtwQZiyIyGxEiAUuo:fdQi`Gxa?WeCg`c^iBpohqtKa^ZfgQ_fqgZC@rOOZpf^IXZOVm\\yaT>y]?bLYuN_toWcYGp_VrUWcnV`>OvcvlSfkxpiVngY>_CA]^>j@>g=VhGQqyAZZheiyvQvy:^]]hst<:OgWoiuYFCgiw_iTgcOaYquTLMuTcrw]sBsTlqB[=E>uxv_yKuXl=H;=FaetXYs>My?oeQYVdCtvQRMwtU?coIt[krUwxRyEHSD`OXdySXOFDEY[cc;Iw`euy;BJqwqWxEwYHIt`e=:mtnku_?tgaFNibheVeSfXsUvqxM]uWOsJIBaMIiGdfmc<Sx?OwZ[fK]cNotToWMShpCwDgU^ws_sC^uX\\gwkawlEtSwuMsX:ihskS@KHC?EZWSxiwQcI=uGy=yy;rrcVXiwQ:flVN]HXmxfnmon;AoRgsw_gdxtPFpVY^E?[fg\\f>jhAdq_[P>ZV^ko?oif`gQ[DYcRywofmlF[n>yxGtu_]QHdAppB@Zq?sS`uDHbRNf:^v]Wa:@nfVemqgy@wQVisYryAZAA_lfuy?thvxmyjye]gDYwSB_HS[i^kEcWxNMtTYdgMR`IdxWWbkwmIC]YbXUCiMTbQtbqxt_bTgeWgwV=WWqUhgD=;RrkRACIRQG^SvHaC:YbB;FGsspYgxGbQwIVyI:]ilYdGQiy=vWyGayDy_UfSII=UrqypqxtQtXKY`cwtQv`qUlmtr]BJgItUfEgYq?HZuYVYV_awgGBccWvit[WEYUh`uG]Otg?gjmsCkg]eChkVksbd=cS;UCsx^GdKwXhAYquT[UvQgstvly`my^ylwkpVW:`ThiPGmnE@mgpuxutmUQ]@PXhQkhLXykSplDayKQQHxkF]OH<PkioxyO^HWsyptqMWHwCptYyXqIt?YY`YMPxoRxkVtO[Py]mmcijC`yUy?FvyMD;:ev]EGXywjoXcchoghPSf>kfEWIECwY_CFMFGYc@_s>qWHGU_?DrsUpSIVWR[gXfCgPUH?id@Ww`CrnsTYgF@GghUf@MDxuInEbf_XSifDmCs[eFKs<gBIqxenEZvVuiT;why]uY]ilsfEMT:MRuKxsyI:ixLiWyGFyKg:yw`euy:vBj_yWayKyaMeTmy=JRywDiky\\wqdV:ilvYui:B_:ZOXfiWyGFyKwpwqJhjDVuiPy@:::RfiWyrpwyjwEOEb\\wYUip;xly\\my\\ylu[Q=JfhWykpxY:@pYeL;PvyTmo[V\\I<:SWUyI:bGyI:R:?uiq>:X>:bO>:V=jRyo`euySSYysYry;BAA?:rdqrYk`Gxqfy`_AbRwo`iuy?tlvxmyJ;b]]dsuxY:fdGxqfM]xWuiKs=TPXosupYG]uGy=E:VxhwQiZ?yy:vrdnrYqXHtqhI[T;yeGrWvExBvLx=S?:B:itvW]S:>?:JO::gRDuTGsh_agKoWQWysUVo_URARCKlxQxgdjbHl[XYE]LdMYo=k;HwneNdPYgYnNIlL=LtaXAUV:Au]mq^hxpxY:<phioy=j^\\lKExehoqhY=dxiey^PNt>uPXa[ywtYyIYyAFgYOyDWgp@xAayyguaoyx_nyAZKA`QY\\jyxwiiaiy=`pihy_f`UAi]waiWqAaywIcyAZ\\DeISh]LvQSC\\KLUmKek<ey?]OfIy:USLHXbEJpAQaAJP]xliniTUiiWjqY>utF=pF=VieNQyjJuld`NqQkslSetrXuUeUxhTPbpkPpL?=n;atuHlVxK;IpYqlfTwrhrnHL?UxZTyhDkQdMkENyLYpajMXLSaTLHke=QaejeQsbtmyhXwyxuukhPowYvLyuPyY:XMsUn]\\rPqLTqvmFtCF]\\giPQm]@oDN]cncK_nsnsT>hNn_B^sFAaO^tjnyPatFQ[mFf^wuvx]=a`wxlbimAacKHwSOagHju@xVqxQYg\\NgT`t:`bmwjp`g@hkNxmtPf:>aWFmjw[\\Vl<QaGhrQijnXmendRgxS>n[WiZfeEa[Birangm_mDa^:Nl;Gavvxcoo`WqeQy_Nympodah\\PuUybsirxwhsY]qw`MvuWg`?`jG`]b>usHqXGoFpigyaTixwnqoxfwYZBWtSAjDPuXi\\SVajwZ_IswfatadLgc@Fl_gZ?`nI^`;`Zp?x@FyYh]CiaANhAixa^\\UiaknyJypTak<Qwgqa]i\\<ibdI\\uWhVavXha?ngipiiyoKH_uxxQ`v>wptnldHqmh[aPukvrU`_ywqywxNrbuR@awnWI^Ku]AhwWWLuGhuwiScIEEhkgSIdI]yZawc;EbiutYdhgHuAW_UWeoxLQObiWQUyIHObmju]m;lMdipU\\rM=lLprDEsReVXIuFak=dUN<jIItuuvwLOyuXwuwa@wTyY:<j`iYUpyoaVwqoyDSPXM=Mm@XTq@smHkyhj\\]k]HOo]Ks\\JpYNKDTWhK]xmrpTo<WlHywAYQtnY`XJmPy\\kMisyDKOayIeWglPLIqlqy@YwuTuq=mkuMV]MtMm]que=SkpN@`nCAvUmUe<lwxxgeYmTrNyWfPMsyY:@l^Eow=oo@wyDyKtkkyOS]LLTuUMWkaXWYJsMTwQSq@mgURaiQwhocQUftpLUmsQnLPTgyiEI[:`[VyfdNirvxXflOnmspnVic^i`AIuha\\_GvV@]Vx]j?utYyoYoqopPOaO@pMfrGNrpF]IwZVA\\A?tmgwOg\\vqk`AlGWgCvuCyy:nm]ihGn`UntCGkPX]BHyCGngokyn]]Au^a]HV_Bqqh^yx>x_yn:`aWGoIAvIy[X_cnWmcqqWq]RHoo_]xXcKX_V^iAyhFAeJFb^y[I?degcE_c>qlLFswG[uqtqX\\_wrv_n>`fYpfrFwDYvY`^ryo``i_>qjyaFpfxisjiyy@kyNpiwvCV_Z@qmarHWcbfumA\\wyrto_ixotxy:F`hvdgfiSqiywvsqmOIfkwfbHwEa_HwlJ>q;Aa]qa>p]YXbNofLavpHlaIt^Wes>]hAiDWZF^noa^HVbuGoiAsfGZL_ecIlVOcq@pvnpqhf:W`>auKpkFxn_IfoqZ[XyXgn_hmt`lgGifwa_qwBnqog]@>y@IiyAZcobt^vb^]sxgiyoYhxjpvoyxQystitxoe\\wriHbMFiT_nlGgm`f<n^`q`qIeA^ZwGhFXxUGb=prDFlkpj;_w?gb=VeWYuAfk\\PmcvZKojPo]Xpjlxu=QihWx^ii`@tLFcPvti>]fVi[qcmncoq\\PyiAHyxijxGxgwfeynvyaVYkqQe`vknOoqPa__m[pc:?g;Hrdhs[ymHFZY`wGwaxayg^bpPafYbqQebalVXZpYm>?fxnmXosx_nwiZrNur_lFh]]ocYnxZyy:^ypWnIGyqIyyGmYXqyAZxvq?ny^?prYi;oj?OmWN]?i]HgdPh\\>N]m@oWWeSYesypLN_cVaNwfPxaWq]a@uP_hPP]vAkLgghguJ?xFo`rFhxIwagfIatYfnR?pKaogo_xOtPGch?Z:qls_cFxZZx^ZpstgdAWmfqrYytK@h`Qe<_]yxhcQhehbu_o]gwEf_WHkU^jZ^lSxsuafwGtxAssfajIZ@fg<Whe?gTphU`[YOg^Wui?]YOlj>aH>rngb]YwJYh?ov^hSmTT]TcEhruIvUigksKQG^ySCsBagE:[V^Sg@GtauSwsxmSshSt_aB_qCa=FjeDuqS;yRd?wlwtOOIlYdYidtyI:YWtcre=sxUCioREsF]WsEmbpmTjmYn]uvQxaYIWAbcYbMiR?WHxeUUYEYiDdOILAug_XuOfk=Gf=g?cXl_b_WhGARBqv]Kdf_u@UvE_BqOeXyt[YYWQBLixxyuN]VESgRsXhGtUev?[VOOVDmu=krHqDfUXSQeHuSiWWalQV@UmXswMNqLWL`K^AuAuKjLLC=qy=JPHLulX==LHmSdIoKqXoTNE@WolyEypdeScUtdimgqqEDteAYuly>MuSUmKQti\\YGMNvtTxqNPTQe]jkip[DpLMrJ@rFPj;inOPp[`LFAT^qr`LQimk@yOcLWqHlG<l[pKL=lxlW]`mInwdqiYhkK_qrX[_nt_P]@VjGWbiofEPsSXpo@kX^ua^]:`]tgdii[AfpXhg[NcnndK_rfxy:^r__gmXjgQjA@ahyi<fhONedyeq_uyErsVfoVaCeqyHvyI:wvi=V_yByyeTyVwgyioYCOs@qFXWSGQCWkgZMSn;Ua?fL=v_Asl=XjAYhsYmUtAsyYXRyuseyY:LnLAly=JBMtYPyqAQxEXQMWwdmtamAeRIPkIQVYTkhhk`TS_aVEUQByP[@UNUmcIV:=KwlvM]x@DQIIMvQot`ThaRT`QthoW\\PTiyo\\ppLx>UWT\\Qk`sSLrc<RxLvFlkjynTeq`MKZEy`XqjUqR]t^lQreXWlq`hqvpmaiVP@Y>IJiiVtXkB<jM\\VDAlsuMfdVEQoxpxhTrIAXSxSA@LrqtleVT@Y]uyhpVYMo[]lFUT=MOPDmFxkjpJdQK^uTQeR:HyPiPZYkeeS=HspPjlyTumRmDxghy=ESvlrUYkJlnSmTBqxDUUR@LklLKQNfqk=USM=UtxY:PRyTlcmyWdtnUYWuU@YYgTdhFlvNl^`okX^U?rU`l:V[k>iR@\\jOZj`gkhZIGpJqbtWx:o]w?vyAZ:vc\\@ighpCo]C>nHXiSInRxuWIceV]Qpf^OxR>k\\W[vhkCAqjHd<q\\^fby?vgNchQvdQuEgkg^g>QywhuoprV^uGg^fYhivllfwTIp@yf^f\\qw^EyeNxf_ax\\W`D?aZp[MOejirXin[i[]Vre>ogfmnH_>Ne>@lbVxWF^E`n[glJpjOX\\l?sfhoSfhZN\\GVfcwuIv^oxtgx^uhqphtnfypfaA_wYfgCPer_nu@eq_]\\^_Dg\\Lag>Fd?xl[`^T`xv>d@>_=nrnyu>PuGipO`lLNwTnaf_fmVnbVlMvaQ@fpFacNrQPpZ_slnhE_mkNsQhuvI_Nqwii`EVuAHtENgLgund_iwOgfW[XE?hjmt[af[cf[MfvSVNydWSikMTOgiAkhb;FIGyEGfO_fPoTpwt<=dUeUUwdwuYeAypSslkeCKTpMD;mUfIv]gFlGbIMBjOg`YxjUuP[Dn;YPeuPmTWqE\\WwicweoRP?yEcSjcbL_wKgwOkdneSJQBfgTQmWHUVKoe]osx]HJwrO?GYWsiMfOyXNownCFNIhYUSsawEIIcax`ic\\eTC;rOWvLuDjeyxCGR?v:euUEv_idbohOkggsWhmWfqUYktlyUWWU]ccfmVSuFKEbPsu_OSfOXl_iKOvQCS^OIpAG?=BA[yPWh:YXUYEVIRJSSB?vx;VqOSF=ucyEnYcMyI:;HPyI:?He?e\\;regY=qcy=fXiey?rkwI?uuZWty;BbwTayI:;VfyI:EFP?GZQSyAfM::yBRaxiKy?IwY;IEyUrgDD;g<yI:;uny?ZA?unvwtiZcyurY[Y>yO_kDP`bNZy@unvW:@OuqjW:R?AeBSf\\;re:ZN:;:<:BP:::y::nD::rK:JvQO?]L;xUf;ZK;:PKkdR:::L;>:B:ZR;::v=:Je::ZA;:kYOR_Ei[yfwqcZcSmuCLMFl?Sp_cIaTugdryI:at=uYVQvy;RKUWKwuI[hUystQvy;BtGccYVyStIeikYSygBg=rkseLQYUyQjpgyAZCsbXogVYOyqrUYdRktuIviQyuyCuuRcyUtVu<aydy\\=oyX`nyAZKA@ajugiaiy=lxQ\\UAiYoy<w\\Ygxoy^xIk@HpXhvgVkTWrfNyOipvHqPnlkWmEQJGr;]r]wuJiGA?v\\QIPgIFMXYUReqW=_vQWXGqSjuIlAXSctx]c<[sYCFHOYFqdAAsQeWigG]sWYcwfStV_HC;sgusfeFNqe?IRfSwiucuUseICZev^eDigbgWHc]E<;ihoIYQwB;ywIroyfEAWyAyieYyMuvIU_mtEKuuYGyiCy_SxiVeIi\\MuSihuqTywR=[hPSv>GHuir:mrl[g<IBfQY^kdPuBkwWA]i?=g?=g;MXWkgogipKsOgFaEUSEvMiIZ_imIBAqCaWUGqGA]SQyTj=e:OWtoiSSB`qicED@cty;BZWfMaUooE>Qs@Cx]iUISfa[S[sIhci_ic?OhKssleu;YxmKGWmBQeEpsFZIX=mDGoyy;rOyUE]VpEVUMXjyw\\Ytaye_IXMGgpqBPwry;bN_vFqeBArVMsUgVFihRIibYbymWlGIbEhqcg=EIh[wnIHYSi_AyqAF_Ydekbx;bIGupERv?RjwUsiVM?xlYU>yI:gVxEISyuUEtIatm=b`gygeUUge`Wt[EeAEwdscRYTDGiv?ygYFCme^wg=]HaEFNQRHCB=;BmuG?MyxkdeutiyCFUvHMifyt\\gSE=Ig[Wg_irkTu;Y\\MDB=UO;btYtcgXhqyy;rAkiIghvqD?iXUYUGKrpMUf]WqeEWWdF?TkwRQ[gI?E:kC:wVouDI_rg_IewhDgxEeuoWhseW^swd[Bj]I\\ibZ;RC[UsAf:ie:Qec_wfawnUgB]wfig[ghpespcB>GxBWVFKY?[E:oyOoDO?uhwi;OYnoDT;uAKfP_BYaHpki`oXBQXm]UrqHt?W]qufqGKeBOeEEKD:CeaOcyavryR<QYFOHWYg>Mu?QW>QRBOVuqRT<LIpqSho=UPVHlTxRP]yw@neMjqlTneWqTtbUJfdSsUwVdV;TNZtLADMZ`XnalsDOoeSyqu=hQHYQ]yJEhWnYMGuJ@eyAURtYXdMPGUOVYwkYP;]MKxRE=OLpNaMPCQMZmpjavZ=jBUmVulJAxieJfdPwpMiasLpxxqwHisv<mU]WlTSm]PkIK<tWfDlquvdAQHIpTXoi\\ym@qnhqodTxxMd=XbQMfPskaQqlqwQSlDPPYk@XlhQJ]HPFTOjySWiLGhY[uuU<WXykm@XFqPpPq@yL_DS_eX]UyailtXxgxVmArPHUBDuJPPclqVAK;USg]K:mJ_QrVhu]myFmsNQvWQuNyUJmqZppRPyoxK>YSGUlCumFIQ@plyLk@QKHUVfLNOIR`EP^Ava`MV\\MLXq;DSvYUkyK;YwYqJX]oPPqYHja]ThapUxrATsPlVSunjDQ@MT@XsPDR>XxTpWxAmTuRqyweXwLUWTqVgpQoLqUDL]Ulg\\Qx]T<ElXtt_TR[mY_YxJDURdmeHlriq\\uK<XUvqqkikOxJI\\xByoHdLwaJTTYeIlyDm[hjNiR_yLBaYjAJbAY?eV_@QcYW=TTWqoyxov`x^TkOYTO\\kudXu<P;@OlyY:`n[tR`=qIts`MUAaQXdjWUToUseMV\\iTPXk>XiaieLx_xHa>vin`nHp[GvdLixBhl\\ApNYfpv`FpaBguq`_Vxf^ai:^upOwkVtVVmTolUxfbhZcGv?vlRhvMgpQIn[yj]>npAa`YpCwwAvniWw]?_eiocfepwiPijs^xeVflWxRisxVmefyaqpgOoaIp^WyaxqRnwwGg_`y?oguhbxxmtw\\a^sM^`^nk:akpvcx@bpanli`gG`mWZEYo;os]Om?W\\bfxG>riGNWUYsd`uIeIbUIG;oXPIC:sHZeRh;Xx=xDyFUIip=gvIsd]uYIVxmRlax]EHXysjsY[ortGtGsDtoGe;BwCh:staCWS]Gx]yLyI:MRAiwXUrQyI:ErnyUvecfYw>cU^<WcEs;]UxiXadnIqVveKNMOyyQZMvCuoeDNUeYm@UPXRqaTS]qZUYh=XNlY^LkbyPPeP:PlwIvktpV@mgtmvmKwXKJpPI<vmtRXEXUMTnDVqTpdHjVmMeLMgauWqlp@tvYOCMySXPRDnydWJLxIUyetsFUvZ`trXu\\Ul^es_\\YCyUCeXgplMaXEHL`]QPqxK=Vb\\qFpm=atM@YMhtg@vTLyrexE@YF@x@ARUUUBEQYESVtyy?nxy]hHgpQeMg_<quYguofvJqsEf[bHmeIpAO[kwuc`yGGbcxspatsPp<pbE?eOhjWQroWZVnrAXyrQwuwfQYnqGtyPlyAZknqeW_gpxWoiaWapVnHFn]YuWPchqwufiUVrPh[eVsefZ;_^:pwK@ukIp]_kOhfZaisi`p^mQXlGYh\\YqEIiZ^tog\\uq[QHgdFvghoqimF@rlQ]IolPOd@>`B@b__^mquU^krOnhY]RoxwqjsW\\Qot]vZ^A`CA]ui]S@ssAlZP\\lnkNfks@^JXiUWmrpcap_d`rUf]pn\\G@e;VyCIc=agqA]Cnk_Aps^ZOWqJYn`gycqiY?x@Auc@aTw\\UycmyiS`\\JIr>ntt@hr^pLa\\X_eEomlGqTiaC_^mn]yxhAfoU?xMXoAW_Dwbpik:YeuHl=Prs@f:x]:W\\:Nhj_qPaiPQtohmpXmZfusOoVIiqAnYNq=hZjxcZ>ZKFZAifAVlTXtjIsQf[sWoYFqu?_lyjuA[<VZYPb;_gpgueQm_yny?gnpytpiPVySyvJqdbxqiPwDYs`asRxy:VvuaD;ree_KI_CwY]CLystwxrmYkQtAsyYOuaeiwygx`lYTxNXjxiQhxQVhTc]XwltRQND<OJDT?]L:DT?;::=BDWgCyI:IHvMiyWCosYI]EcOy?avP[foQWRYB`Yi@qxPUxFmgScTMwGX=XC=d<muqewP?sn?i^wHx?fxOhoEHcaHBgreGRcgyREYhwfuKCOUeFGRHaRDURg[UpOHr_U:MIbIYcersgyQcBWUuOwdf_HGkVaWGCehRaWaWcLWEPsTMmFJIdRSf@;CImgJkSlsHisrUuHxigLeGoEsnCwLaGXiVlIewcuZcueowAqcmkTjSCvUy=aIZmU];xAMCbWB[lRA]payNyPnvhRxQPrMXkuwwLMC]NCXqgLYmdrfHtAmXs]VAErN`o>XP>uTe=q_urdtQhpXvXVkYP=mqOdth`PWmtCYvuPjaESnmjRTR\\AM`uxPMM>mT;pVETnuDkieLBMT:uJ]aQC\\Li`PA@kEHqB`x`xWMTNpPUAxqnevi<YOUJwql_HvEYKRINT<q^@JndO\\hWmUN^akhTn^dJ_=v@AvghY_qJo\\ymmOeqpTpuGHVyykAyngpY`lO^HuiiLTAMLAl?DJNINCXQ@mKj=pt]VL]wBxpCuYxPqIlY;Hcbvua^yrQwy>y?v^rqdaQjofjky]>``i?\\gHpphcLOrEft?Xmmob_^kxNtWIxuH]g`oINcQWZCxua^Y:]diyTx]IoyEvOrM[ieqx:_H]YbLWs;[rf?ESMfrmW\\sf>wGUYB@kcxOF_cudwiDyQBUrIMyGayP<OO=nPLkb<n<Lkb<>::>\\Ywy:vrGxrwIhygy>^tkxy:FoApyrhryAZ\\pt\\xqyAZIX]IPy\\yy:NyCFo]wy:VDuq??Z?go:FhYQ\\tXuy?uqndyAZLQcb>yOptUqy;QqqpyLHdUWtRqLNYYxxIRTydxO<MXkuyquYYMty;bb=eeISrYix:ZAayygukwmnIoy^xFg`Fxxdf^YP\\[xpDXcUphyngrhdopp>>xCv^JXajGcaFt;gwSGlCg[NxlQHded`_U]wSmYBycG^AyWydrGEpIGI]eaGIgeec_v<YYuQDZwsmEeU?H?IbCMDQAyc[DJ;b:oS\\kbOeE]=cQQrPMwZItcIgpYWsubA=iiEE;iIjEShyI:;ewEXXeuEUYAyweQIwscdyWAAyceYyuEk_YPwWEssIyGmqiJcgxaF]sItaEhIegGIrie<CWV=xdXnwIOcdMwxStiLpPmaMt@yREmMAItWyJ[@JjIY[dww\\STTyXMo;LodMlIXp]HN<moHhs=mKOlRIYrMpkrTnRmQwINf\\qqDndHsdxusukVXl<DSBtjnYlCup><jUejR`U>mo:msoTNAHtliotLypeyGAwAIMSiwyDyihTRLygpx\\LlX=YI`RO@NQXsV`nQXkopl<ISx=YOxtMlV>lqTUonQxEtP?TroMqXYM[<YUYSK`w\\ypjtpaUxaHLHlMs=kElQAuqnLLVxkSDk`yXhPWuysp<xVmmX`QlHWhPVGpSWLX^=v_]mFIrFlWx=tVQsdpsg]Tmtxo`tR=UIan\\Uh^VhFyqdYnO_rj_fm_kwqvgAq]qk:^]aqnoOdvH?wYgyI:Ws[gUBgGo?WgiVrsHZuhTow]WYuSSKsV=YhpWs]Uh]sfKqswmBHeI?CYnIC_?yxitiuF@EyrgT>=sIET:IvewxdichEX[mFTwVJECl;h?]X=_Yfss]cfVaCpsf=oUoeDoeyX_vlMubsC:uYpWecetA[YCmRRUxVQX_yWXuXxsrMmxcYyGIsvuyI_tN=YaSS=]x<kGssBe?fv_DOgyBSsKGI<GWAQsOYv`UeYau^_fE;SLqSVWf;ycP]tCOF>iBTcU`eVXKc^KX@IFbESVyvecrbqTiYfywCIyCdWsMwbOMHXiYj?iccxnmxkYyQiftGCdUgrAYteUxwubSbq?SgutwgbWiUNYSNSEuCCjKIJWu=aXIOuXucSGXugv=iCuiYX=hgkWysXhsBaMsxyXOKHraYkXU>Mmw`t<eUidL`YVn`nD<sCySWYm:HSpel`QxDqSpQnq<LAQpjlRSXXFLxBtYvPvnTJiMulIQ^XmXalsaqY\\YG\\Sgyi@h_iyoUodMqg_HtoQl[hcgaoCOq_GdlanDYrLnrHn[PIr=F^SOhmgvyO\\xG^XibZygR>gtfvfxt@heaFdnpkxyrBwq?obJ>cdhfIn[:aoAo_hHdCg]xPgoIsggpg`a;hfmg]vYZKh]Ei\\NXiA^]q>nVqZuVlLXgHqyh>ixIaxi]rYt@oaQFxTocth`nQ`uFgRIky?hZqqlyunVfZvw:^kxgdnX_YiuLXyyAZ=?eNydqilSHwpX`cQihYk>nxqp\\Tgm>HwlYsFVknNd:Hh;Qd;_v]_klQ_jPth`hMqvbWl\\`bsn`l_v?yy:FZwVf]APkEAWRwes=Ob?uVwys=OufKehCVbodNQfsohm=HVSBf_B?wva_C?aUg=dRGbDYGyCcXyv[sVJAy<cE>wrBeHU=eWgwB=SJmVXKEPwVVayCUxwwgNOuc?T?uCtusY[RaKSMuXequ`ge`OHEMyTKGjoIYYiv;W^=XLqrxKwyLvx\\UY`sZqTKDPB=pDHLFTv:XjTtNeYX_XWt@urhpXTtMIPV<PCMvoMmaDrZ@vFHO;]JYlydXQbmlkakcMlEeNxPqSEvNdyJQjaXwFpXGQVO=sbixvAsw]wpUpYyKsYKyAkHyJqHlcAt;us``Un`n]aT[DmX`taTRT<pSLXhxY:^fyAZvieqFskaa=W_sonWG`:Ya[UfcYjSUyKsI[Y_yRr]xy;ruCyisYMAulQdyueyKrl_v_sixsI>yejicbWW@UGS[eHSw__bhyfRSGkyRbGresDQoXtghcMEaEd@;I:iRdKI:Ab^uE:GId_CX=gkIx^MT[YTPiBm_eiqILpYSdlgpMK\\MQtqdIQXXuEipIulfTyC=kK<S:=Zsqmlnc@n_dvu>f_lQ_Dvu=ijx`v:weKgtBA[aVtf>pEGcJx^Mpm:PhJVioA^H`mQy_kqedYgin[S?yM_blXeWxbR?lUYeSAZ<y^?@`MIyfxZEI\\VW^xPhv^uF`m=>trWj>ItSqeWV_Cgptnrp@b]WfFNw@`^AyuOxkKn_tn\\SNfj?nmqky?rJvsXFoi@iehexXy?Wst@uiaZBph<Ic\\f\\sFZqVq?vrgvkUh_MQnNVnGWhNwtQQyKi]r?iuUoWUuqb?otTKeOUTcmTQMTVQgTaUiEXs=y:]U^;v=mSJ?x]eVOcTV?h][ULiGG]bGIWS?wjybxUchuec;U<;CfycDaftMDEauowBo[VHaXeIcoYcbgUimwkiF:ycHYFr;vSSvsYWhCCvaSOYWuCe]eHWAIBqUy]T\\mW_iT[CfV;xSkiJuvZIgNouoESLOdVIyXywlwY<IIOav_swosyGEdtmX?ExjsXtiiHCwMMVwirLQd;ISZmBUQs=UDqgwYuxmQcPwSAyDxkvQSSCEVi]g\\oXGICsEcKGYRqhWsTdiyQWeDsXq?dIehdmERoXt=bbcGMeE_UbemHwMX<Uy[QYjQgYirqYECowPKwY_gKYFEqYhmuaaEHwscEbMqeuSWtCcdIdxYYysE\\Cg^Mg?yHyury;RIwEsEucsyYOuaTIva`mxiQhyQV`tkxY:xrpIOyuueyY:RB>lfxaoywk_YYWLSeXEf\\KcbkV;cRN;T;cRN::ZVvy:^y\\NiCGxwvuB@csXyg_uLFbivwxgcI`\\kn`Q^]WnpkYhRqww>yCYtx@]rqf:IjhOuRhcJX_[Vq?veCQmSNnWQx^Aljy_s^]Qf];i]o`\\;vrcyy:v[nV[WVdH_t[vlNGgnFtFnhCg_XAw[QkWnuNGbkgkBH]:h]kwxS@k@fpox]F>wTqkfPyWhxLxsnNmvOMOOg=y^Iv;lrHhw_<Lj@N?tX=X]TQn:@aCpaR>yhOv[qwioooVksanCHfpGqxh_O@c`Qkk>jZ@ZcXa:^\\HNbkHsFNeboqYFgjguVOgPNyy@kgfxEGmXVcGpbuftuacUYvC`^L_s?Pbrpj\\NbbXrZV_jHhWgkNFZQh`dHubw`PGwnNx@Gppvstfc`a`TAZ:_r^?oAY]lHi^YlGQgrWqI?xxyqgfnQay^fc`PwPnbIWpXAeXarMpbV>Zdy`@`epftHydv^[KfcZ?[Z>oZWiX^lUx\\yfhywwKPcQYZYWbYXrTp`MHg_HgQQuwgqO`mKVuUarqPc>Gh\\hjOG]\\?i:n[GoexQuLyabI_]wY=V<Pm`qxitxQMXNdwYqwi\\vbdv=`nxQULyQbEo]yY:DjClynxMUMuAeY?\\oy=JjEnyprshsehyOaY?TmQYyeDYD\\o?tKJtuSiUdmLYhvuxPYPWFYuDELY]Mi\\uT<JLew:\\V:lkk<LuPTMEjbQND<jbPND::Z;fZyAZvAiVyiQy\\yAZJicEw=kvYQI]ydxUcTQsy;Bx]IhyI:WwEyI:;g`gvIeIFyI:iH@yGwoDnIRA]yDUwguyZeuUuIC?w]MVQUuiSy@QwYMYCeRiuS\\Aeiwry;reswy;BfgU_yI:CgcqwUSrYIXyyXyvY?_aFviQYYp=`@nP;XmuIneihavy;BKAHPYhV]vSiTWmgoUWeQXuGVmUTq;hUII=Asrkh[SewKSIQeCeX=uI][RlkREQGqqrlefk;YE=xA=smwH=?BdsBS<VkQUXMNKex_pQOLmOTYhaSh=QienB\\u;tXfxLhprfmxo<M`uvEYYetVYQqtEwfaoR<j<mrr`UwTjbHy^yrkdRsexQxqihXwqyadlSMugOyyA:ahsQtVMWpohcEgrUGKoWtoHY_tK]RKsXkiTyAEBsb_Gu@;DA_F:GXVMTrqYLcChYCIMdrCR>OepQv=mcBUejKSokVJWEb[UPedi?uFmwl[fWUYkybBurPIh?oSKowASyiUbDsdLMBCMdWOHKOSLQYfiShyCFSstsfFAvPgH:OiX]FoCECoxP_f_AfcailqW^sHS=UY_wXAVQ_gUUVGeRvQtOuyYuT>gxeUdVUwqeiVMCWKUwUeEIyxME<ofvAB?=FPyrf=ssOuSAcD[up]wlKsC;F:UHvGWbKwtoiDqXiaxPQTTAcpwXqCxiccvGxpMB]ksCQU;UBhaiZ]soAcRsstIUmAc@wdVAFIuxr=wIcymaxxuhXAeWGtegeiwRvCvOgTnMRbgXN=eaERW?tgQR[GvNkGZAreWY\\Ci^[W[sb@GigQVQysFoeWuvCGBwuhIuiyyI:CHtSIUSEgkIKge_Mh>Ceuoxias>MXlOYLQYMmWocwl?djqupcED[etCs@IFyCrVoYOaDcuhQ[fxWgbUY@srpqt]Ws>SyMwXRiHBsvA=dpeicafcoHUquTQCTmfH_ck_sIwRgOwsQUqOvLSXkMSukBcsglQgrUV=shByX:kwrEC@=RwCCRwUGmeEUySaDssTk=cN=bvuxQYuoubDahDscSiS:ef[Oba=dAev_iUrui==YJivLeWUmgkAsk_ycqYoexIAHyOhT_gpYxuydskdiiwfqWgKeU?i]KEP=e_ED;yBjgxVMuVod?UuB[d_mxKysSeFYKxK;iYEE@Ai<;dAuvVYHXYIJaw[Sdy]hh]y_MFGqu@;DMMf=AgBQc^;DNgey[iaOGdSwGgBAab\\?hoewIyrj[YTUcecUagtQ[BqqXKYUEwXaScYuuimFBGt`Er_QebuFkCU:uxkkS\\KslAyQiHlWhL_co]ufYyyLjqYwhDrVLJGLtaHpRhmuxmR@mtao=\\kquvRTvotVyMMvxt`hUvAaUy`jyqDPeR_xe@u\\Yqt^`xPdqXl\\Fk>VnGhmqyfUFcwf[d?iu^eqxj=Qy>PeXwj\\iodOwe^pDXxIwqOAvtPmZFxiOd_nlmG\\<WqHgtloihwdsnomOvXhn\\A_xW]riog^a;NvuV_s^hegtTHaiap`qj^>gVV`:xpFVwqh^j@naqmCV^OvfegaKwcSxgiY^NYvshtn^t>?qChxE>byXw]YZHyeqAl:>]uwov^x]q^hymyWfcXooXqhY^_qlcV\\eG^nifvvkAAtOiiyfdp@qkNuBO]E>t;Vyv^rAnrx>x@YbIFnoqwGVcbHgpvhl`_Fq]E^nRVcBXm^?kwN`tvk]wreabsoljxhxYqyAZRHbEQilOqfifY?iDguh^vOaao^hTpZcP^;`_JYe]Vrn_\\[odrokq>o:IrLok@Nbtpjf_tuydI``]WmEi]ufrJFa<imsfb>HxqvnQ``Fpkvx]U`sGNl:Nb;f`hxqUqp^Nj[gt[FdY@mBxnZfh@qZ@qaY`hIVdTYcWog<IgvFqTYccvkGivWw_N@ucIluPjm^uPWsQNtewwyAZy>y_nbnXen`pxofc>yMtpsUaoT=IUKat]USgUcEkE;wWbwsNsVVyVeyBvcGiIry;rJCrQiirYey?ch[IbwrtoiSwFLIxNmi`qh`ifvywiwY:eGyWXFwwCkeG=TsmhTauqstAeiWgigaULcs[uR?geVuUiKW>ku`EH;EXXUrkGFG;gWQd>WTeqEWoSsGS\\]i:cUtmf=qTywT:WejaD[AsCyfwQgCQIPMfSqiEwviSehWe\\IGsYtW[E<]toyh]=BdefT[ExeTieuy;bBIcNcSoCyRQIvMiiUBvSF^KeOgfPcugaSCeWhGXkaYcaFT]fmAdGQr_Ae^kuRgDIyScATyyvSSRNsgHeD^aTTcBbQCmAxaocMIBCEYfsh^IHa=rJGdZQIkwDCuuN_d^qRiqSM_SJUe@CH;GutScfKH?\\rdLVoLVseOcTJeIogdUHEuihnxasl@lelJMeX`xY:hThLxMiYp]MuYjV\\xALLMYXPUwHeuAEkvaPNuyHxW\\XNpXOcLwgDODArlXpDUUA\\QQDMGlpu]kLXNiXxXYpXmwPMKWeX\\mNs]TTIWKAP@QXVUpn=S\\UjteWXEQ^htEAw\\YQTdoDdTOaogEtG=tKMXs=yd@PILX:xnwILHTxGaQXDQoxTvtv\\trFIjS@UH`K^xVIPTd<k]<OfHPGuv^hxQmyWhXs]mMpqtxi<XyvAkG_pkg`@@lLPvUYcBowif^hwjbWa@WiVhkAyktXa^gdII[BioNNpDQbXiuj>qTpabiolqrxVmMG]iakPYhAG`Kigfov<wpt`qei^Rae_GbUvmW>pdHn@Wh:YZMPexf]\\nvpyy:VdVgiXHiPVaiWdVVfSv]fqlXYrRqyO>`xOyxyqhxmr?ou`dGwi=iexOkYIiOp]xfudxfaPuQxy:^b_p`n?qE?q`Pk;n_RivGxjVHkGXuBFa\\W`qycD_hvwEuvYAYuquy;rncrcqsKkrlMd@WBJSSj=DyWXIyeHcy_aunAsvYsiKiAyCvgsAwiDYfFqiy=vryI:ARRyI:?Ydof_AWSGWtibXeWsGxlQsHmeEIU_ibYkxr_dukHQaV[CBreUkCePkumAhnKe?oYmGybWr_YuHYh>UwrOW>SC=QHGmUlSblKxrCIEWbnGdK_S:egsytY[HIyErSuIsYOwRSiYyArkwi;Axy;RkitHIGxyI:AxGoXkgy_YUd;hnkTqqVPCyFCHdKbgiS;=VEgVQOwt;HCcBU;fdoTaUuryh<SxgagGaWUeReSWvqTeQHlsShwHLgTR[g][U?[wWERjIrpECjKIIQxuoy;YFyUr[yI:OvbShiyI:;GXyI:;HpyExOGlcHiAUrQW<SxNQiXwuRmVbmwRee@QVU]GlSym_FH?bCKHQsF=AI:]vTeTvwRZEGI]htoUoeFa[G`gHPEy^Wb[;Tk_ChWH<gtBWfJoF:qgsytY:P?:ZovfkY\\<yptgkgamT_mD^_ipu@Ii^pm_^kBGp^FmS^glXlZFb:pi__gZIfHpraPvwVZFolBghGNgDQuRoo?^pC`^R`fRPnrpbR>suf]U^mZO`M`kFxl<vwShiyAZ:GxyUZ[wy;RvcTXivqcy=yBxqr=yI:eBPwsE]IWwTAcHguyIqiEQINwfymbsSVKiuTWed]G@AVSWWCUVLwcV;i:MT@kCjUXPmWvye[UGCKuEeYyoclMiB_rlYUGOxUSF@ofNWR<IB<SFkAVnMTtUH:OUxivq:rKmVYyA:Po]Xoryl=MyFUlAEOemXptw=LnBQlEmj<MWSEJWDyJ]rkYumAsMmY[<y`uyLyqmPJxALthyVqXqXlw\\rDAkJQrlTpFlPSAX>=XCdJU<NFLm:DwvYsi;:::<SYIMriRg@VtlmaPtvXKJ\\SLHyeEK:dX<AreUrlXjMAocmRqaNL@Q:EW_\\RL=XE<q:ly`<j\\Txi:JI::adiahUWR=cxAiYwKuxUtgsYy=ty;rYgDZqbsytY:::Zgwy:vaJwiYit]hwpvumixAfywQe:vgShI<>@B^D:vYtnwqnU;ymAMugyqaMwIXI=biEuw:RNGyQy=ZufwpvUZxVtgkYZZpZsylY=ZAky?BFJjqMug;VY:yM:ky:bA:ZM;x=VN:>:JZj:;m=ZyMa:rYxB:@::jb::q;:w;x=>n@::vBBJRZZi=Zu=rY<BxA:w::VDjYZ]<Z::<>@BRX:vYt>:ymA;j:::@?:rH:bIjYZZp::ZA;;<=>vW:VY:yM:AlViYxTUcMVUejFHxl`kXYrF<lAyxdpvLUkT\\mWHp\\LLsDMBHjaINcAtwqnU;XKxePhDQWTP:]mqarhBuRtEC?seLQYUyI:;Uqqty;RLKSeMIuQTA[ywuqmqy;MuQqyLBXtY[XkiPianyCDhyv[hhyRAEwYMYDhw[ykryY:XQayMcMtmuYfIVfxVsTs\\qutPrOmMeayohxTiOnHjC<Rstnx<r^Ep]vv_HfXoeTAwPxltYm^XlU?gjgyTptbvtm_uVqaxfdSFZ^xfe>]XWqCX:?ugesecyTaxdsT_gbogCm[TDCsf]Wx_wH;E:=rAwXRsdl=hC=geMixeBlyI:EtnOrtorlwrJshuuxUaR>]V_=us[B<;SkMR@iTGIhMsVSwdvmhTuyI;yiKxvsHAQwXQxMQYwsy\\odC]VVIGTgipSrnActov^MXXSwM]rmWxy;rtObg=rtKVnKv;Ouy;BXgToIixuenKInUb_[FbicKACgEvBCY]Kdygi=]E]YReadgug^QsSeh_;swow^KBu?sR=HQaB@gY;=tVWVq_GFYe:cu\\kEeUwI_XWQbciEmsvUweeSYYGbXWBpAbpEknXlVPQxeuJHysXuMHyxYK`eSuaqkDsXxL`pRXDx:plUYYu@YtmwwHKnquvqm<HodmqXTt^=TiaoS`Y=@x[`VuDYChXJPXlplB]VjxJFxX@UPQQNuqqAhnPHMTESClm^UMmin>un=@ndyrMYUjdLNlPQyllYKwDV[_eR^wQqvBwsqAmyAZMn[XXjVNhm_dhyxToy@GtVXn_f^kqi@wf@`y;OodQyNvaaWtkWiX>fuPmf__K_caXgGXn`qgx?f:>Z=XrqOa=ocPyfWqxGIhOA]mg]nXcRv]hypXq]wxiDOsQqw[>xyAZChwopvvOedWefw_ONhUgssn`liZVVlWHtVP:kYxQR@UwQUy\\QgZ]WpMuGWyskfqCU>GtKMGEie=uyOYwsaDXiWTMtgCiQGCGaxN_UnSi_yPo]NxlM:lWGUVQQLHhtT@WjxJkLOruq=qtUlXYEL:UpPdOgIxMxSTeokuk[ApiTWDyWv`R]xo\\XUO`MjXsJ]SAiY]<w>ly\\Hlo@wQYKgt`A^aP^paguYY^EiuIxrNvqnwmRgyeqy;nswQkwWfqYnUHxXxjxvqpvmogoUYgpFga@cLYb`VkdPpOPhknvnFf;OhQ>^ZG`UnkANiMYjBOtohiTfcvVgTfpLAk\\?jmxutxsFFlLVw`>i_wlfF[\\GaTAnHX_dwsROti`eAWgbPeF?v^orLHo[ostfhZIxtQddQiHwmtOreWmR_s;AbLvkK@rHAhRNhyNaLaaIAvOhs]fwq^jsxlYHyiPxk^`iWZcQmtfspvmuGoghxEIka^qP@wEa_fqZJFsX`]b>r:nkWXhVwa@ia]wrPyqG^iOgfwGvGo]EG_nWgbYmKgcg?jC^vBYZRnqIYrOxvhohhYvj?sipbGnocWu;hkoWc__vj^rmgjnIrsAepy]q_uQamvWdwHx?yx=yeT^aQoyNn`kFwQnyfo^XivhWvEHsMP_;_iCn`uYfv^x\\h_YgcRnbKOhlxx_WutauoIif`_oW_^VeRPfS@`D>pdaqlGbVVjhI`Ngb`Hn^HlwimaVugnbAFua@lhIbxYrVHxIHvxVjKHs^pyFQmIafTha:ipLWnwa\\ipwRVvhxZbfiAa]McoCegeVRgXrQTHqR:GeNSdFgUrYVqCsrEiUmE@UcmcReqUmmtwwyi]dLUxxQX_iiyyGNQVQcgFESi?iIyFWSh:AHW?b_ICf;eL]Wt[HaIEagT[uXeEGqwTOeHiadkme:Cd=YbiKrcOH^sDj]ylsbVEhB[fl;TS=EtuuKeGSgG[UumsiLYgSaXlCIbuIuIuaWygYDj[yHaDYgypmVYAxwgxtqvvyI:ICx_rEEFwKyogbnwdpcYlGVtchgos:_FTwCACvYSxNktIgixcx\\]erku_YSTGGQIE:KbskUfYi_IBGGwvCHpIYKawy;BjyQyEvSQuILxyHqSPu<TyIlW\\umGLuj`rQQqVHTy]LlmUkltX\\JPyVFlw]DtnAOfaxpTjHIqyxlDmK^eRKAJ;EW`HQ:UQKIsaMLjmJHejbIJ\\Yq=tJgqQHmpVdLG`OBdymQrYPSk\\qmxnxho\\YUWQxxIWiQvMUkcmxf<SJlLPmjqQUwtyrQK=`Q=TlKTrctNeUoLikidyteMr@ghGh?hoYAxn^hByuuQaUacJInMpcMQfI`gqw[XF[=>yKWeVXlOAm]omm^mEXpopqGxnAiZ^h^`xhKNbFHuc_^iOv\\GiaVomVh:y^Xhl]WdNQnkH_Lfrgfs>anfQjJV[pPaXPi;FlCqy^WZT_ZU?c`ptoGcKnoLN`Rwoe^ZwOcifvCQwBOy:NtCgpugprA]GiuqXiEYogiyyWrJ`c_VtfO^l`powlMoql_iWIqXFgV_q_Xib>r]iyOywTpjlA[PovAYb;xijWZW_uhGahf\\;H]oi_[FscYwPG^`FthfpwIcBglMQg@_qlhbYplv^hhvcdAbtYtsxpuXciWpv@jdOeu`wPhbyNw\\I]^F_]qw[X^]>yHxb_xf_nnYAxWqamI]g^`xylyAZg_tHXeC`njPqPQn;IqyHf@VmHI`S>a<Wa<FuaGsAAx=xxeWb=AcKyeYOe>_sgg_L>]]nc?qpiyftimZy]qQg^PxUWoCah\\nrYPnG@pZ@]mi^EVjfAb>FZxItiowOyoFV`;G]ManPO`>IonNxayjLpd`GfIxwnw^wIvDWmHOnmpyyHvyAZ\\F_ofw]ooyxmvYayPs`^fyGxyedyuooxy;BtcfcQDA_eTgfyCUVMhgMBpYEJkxIqWwIBoaxryI:YVutYYYwy=J\\v^virZvy:voewkai\\tgeI>dFIxHpjvWb]h[Znuofl^Xt@ygvFjk`v;HcgN]lVv[__JnwaijZNjRnt`vkZI``@imxcOy\\O?qv@pk`qMHdUWiZyfR`uvv[E>qOxk=>mRHfr?_Aa^sh`TyxGAZ]gn:Figvn<Y[O@tMObtHx_VqRYofHj]`pZWy@hmpY`OQs]Q_H@`vh[=y^ZFkoyc?xltpkiHihxedOmwnsaxik__LYnRisWNof@pUyrbNZcFlRqvWA`S?k[VurWFusMqhCXwiytXili<PVpsS@xtqtDquLYTgqllPu=uoCMOCAMndtSMNeyPo<LJlKrtTR<QZHJn<oRLoM\\YkhO[HURqNl`VTXKs`NXXwNLL;]O_mL^`JAxKx@QL<plTySaQ@exg=yXhkQeoRxWAemrtNZaq=URYHky=jmdOf`PgUsQqKuqSpxtGLLblMCtupUmGXl:XYBXtuiLK@S_mSA=TBpye@xqhWtpYPPuxqSmAt<pU`YmcuoZhl\\LQqpOI`O;XVO<ULTVO]Tp]vChj;ArAmNZixi]KJARxyY:dOeHJ@AyqHRqPmPXN\\hucyujqKDaPeHkf]jTpSNpW[hvJHrodlO=L]xoSIXM=m]]K;`uYQKxDMdQm_hrgxkUioHdloEOX]uVUKe]NCewGhtF@xDQsFyRqQW`ApbTJrxWUpY:yreHXrMy\\IJAURFukphTxeMeQqHenqIOdmy\\HpLpXlAUT`r@Ls>mJ_@uvXPmLLiao]lvG]S@AUimkphwHYdZVqpPtga`caaAogkIuNplAVe`ndLf_g`od>ch>iYqfGHjIhlRxfrFfeAaRVu@I`FphAiniVt=Fw?AZjW[jqydywPotohqM_dlxmLgtnXweIeTY[pF\\=g_>qdJIk]nufAvBfwJA`gNlW?p;AhefpMigPvtD_pj@l??`qxpH`]nPc;?_;Ph;>sSnryO]oHwMqkN@d=^ibxiaQuQyY=rbyI:?IT_YryI:yvTyDyGr]yI:MvcwEOwEO;rqWsAmiwewy;BjKuy;BxoFIkwYIA:MuqevAef?=bistIaYuQuy;BZ]xy@YT`QrxY:xvToy=vbyAZ>YtyP_yN_fVZv?qy;@:>Gra::\\O=`YrxI:LvbQx[yixnty@yGv]yu>WDyKGyKGfUbv=yy:R\\AwlIfyuUeyEvorIwiCuVx]Tx]DRqRsAxy:r>It_YByqiPyI:;IGyEyUtH_yb_ib;xGQx[wAZIp_Y::XqlYnlQN:ypEyJx;JIloY:jrwwDykDYk:vuh::^A:=Z:NvckIPSE::jv:V:<J\\IGKS:wGQ::::FobGZX`ey::::Bt;g<iWvAhwQsZgyTyTwYcnwXFsyCui`wVBKVRyQQAmy\\xT]tqyY:HX]IXy]uYuY;ePfxY:Lw[yiVOfyAZKYg:_]q_rhppYqxGfty`xLPkxf^oopyAZjpggxy:^nNpdnqx_nkrYixqqmqy;QuQoyLPmgaqkvy:v]qyeoixanYvMhhyRAE_cj[ymryiqwYydNyEtkvTmbu_Dp]wd[wheHbcwWEtgewAQehIC:WsnqYiChwKhSYXyaCweSlkUJytN_hSsW^ubUssNKWIcH\\Qx[gBL?dDiGM=f@?g:uGKOfVoeoyHkiDhwwLyS<kHI]FqQIMgTXAUUYW=_F>WECIRfAHEOTXAHmmW;iERWvJYuUqUVIWkSbECUMaSMeDN_RCsDD;H:sUZMfUaS[Ibc[SHOeYOy`YTXyWjceyoGakT[OXauxumyYyt\\WSk]E;oX_GXf_UrSEWKipKC`cIlyI:odyAIZqs]ivtgDE;XgWvroToYVpCI^ceUsEd=xHctRsCa?FJOILsBrGEegDTihgoGC;Sguf\\Swoqr]yxVOh;eICEymsBa]bnSgpYVuUELuTFycRagV[ws]FCAgDSxKqI;[RFyxWEwV=xhqwy;rMYWq]GFUdxwYiwUuMFWKxSkW^esLEyDqce?CZcigadmusqexi=rkkDsyGheXQ;WnEW<OBaUdW]XsItx]sZAxAgYh]duku:mihChkKS@aVMgdISe\\KtF]FyOsYmgtAhe[CHGYewdqAhcEh@ScFODugsjYe:WeWGxF=Fn=baYTJkioqXEgEyUx>WtGYtMExy;rQ[YkeEvWy^gyDQvWcWPUDmYC?_xLIf^CdUKBEmxCMIn;UVExSkyQcdGoESoiWmgV]WqMISEDCagiaHEmCkaUsYVBIF;avlGbmYR?eUEesPsQ:\\phiRfloy=j]QuNAL>MYStsvxXTalHxRQYO>myVpPkTYy=lbMyTysbHw?]nrIXxXubQkp<WqEPalXBeva@YN`k:\\ScmUCmuKxpcDT<QTNdurdr^pXyxY:Pxuik;MVIykoqySYtAyNtMsy=JGXuj\\TfyWl`WiiOhQRVHPD@RRqQA`LGmQUek<MseTQylNbenWItt@O;ymMUtA<lcQm@TL[qxDuwgEKNDv^IKFqwZdxUtLAxM_xUiyw_xmoMWaQwEYpuEtphn`@UX]rPQVPEqsPSp@PDMY^AP_ySrHqfDr[UOSiMtpw[tv:aQfxl:tqYdULhYZqQsHqiuSSlq`ht[AX><TIyY:PVPTTcLNeXYetyq\\s=XL;LKi=JjupZIJJPQKlt^IxGhjH`ltpOf`YEPjDPVtYl`UulxMtTrblSE]m?lRC=n\\YNWuYTXwtQXw]SgqJiAolqqeayQMwbUueqP@`toTQgTVn=UIPN]QKFIS]IwbIupqXZ]vQUMvIwmHxFmy=Dx_aUPmYMTuRapEPVmtr_@Ss<LsMP^iyWangmYLpxM<yT\\XwUkSAxyo\\cy_monVYudqdA@_[alF`fnO_ZA`>Nhl>`;?sByos>yqPnrQwAIvI`kGvpE`hs`h[hnY?`lhiJvwHxuCYlqIgaNurF^r_u;ww;HtegbGqxopbvPptwcXyeQix[@wcwiwwn\\fbc@rmYeZy]pXeAQx;pkHXj^Ni^wfv^h`apfwwffpuNhJYcO^s^>\\=I]gQsjhaI>o]naop]I@oUgu<Yf:OfP@`qFrbVu\\^[kglwvZyPcgoxQ`]Liy`PuS_ghAxAfmMfi[am[alvioYAoBIs;I]cptXYwtp^vnxvx]lVxYQYqIlWr[sB=ydLkw_YDUCEC;C@ae]aS@;y=EupwFwaXYSGpSfqMyqSuQmYtAUlyBO?u=wWJEh:ueVQXsowgUdJesteCfKrrcXxCEayFJMrmeWQaXwQv<GYDCry;BiubR]fLosrYglGTVYinAGqwgaQiCss__gUYrgsY=OVvky`AtBYCdCsB]WaoDAaVtsG=wI?_GX@NsuvhUPZmSrPJ[yq@iPSLnkUX^\\wA<o@LOdUxcMuoakQyp<lURLnWqsfUN:lyYAn^]xVptPTogytWuy>dt<UQpeswyUjmsQmRXhn@pV>AWTijNupThKsAl[lP@UVN`V\\IS=\\kI\\LLtp@HvBxW?=WRuRv]wZYTfdo`HTfAVCXvFQO\\@veLujDqKyRkqmaEjHAxg`mlylQeXEUxGhxdukdlu;qjl@J?LNF`XVAsVAyduRSD^gh_EWdD`tE@i]WgexpLOfqpcghxafjWFixflUxdPanxXvDoudAdN`peqgiPyRYeUV]GOaa>iQ`[=yvTpbWa^WxcFyrMPjIWd;XuDxnfocgxaTavWqxB^]oNo]QZ\\wa_InW>rvn_rWvqonK^ghfhYvmUCCKFAUg`SbkIWfGuIsex[E:wCi]RCsifyTMGs^KEmCF:iwNKWjMFPcuQgI\\CiXWRXKyQQdPQxcsy>oNqerbaxxyqa`UDpnxiTOqqKaKRAUsDlIxWFMpShQNMj:yxIenOQlkUSVAyAXSXaqyPpRmRrPpL`UY@XFulAXyZlm;UoT\\KeUXnluXdP;]L@@NQEN@Qj=MJp\\KnankqYhMYjIwqLx^PM\\IY>hoPtlhQTDyY:dJ^Xn_ysh\\TF@Y^]vtmTlysPxiexy:>rlNmpwiPyq^QkyAZ^?eg_xwI[^pdPVyhvoWQQQHAigeiQHeyRpxelMMLnNqmo=PhtO^YLv`vvIT`lpAIlQqWZHMbmsIeP`MQVqQC\\lLHyKlueup:<supRfDj]\\UfXwHDUSxNLTwMUrDUPYMwQLs:hKWiWZYNxIY>=P:qm;XsZMYY\\SNMtpEoYXwMQYmqnHdp\\Ply=j;xNsYUiQp]xY:xKgYtxqqQuy>en[xY:@Lfxqouwkay\\i^vyidwmoaxyPy_F_I^y?HfyAZiXiIxVhnRaXE]LKeRjXLwdRo]qPpPLauVeSV@l>in^MLAAkBXNeTPX@jAmOrpJ_dqeIlrmsA\\YdtMRxvxAJqxUtaoP=YdQOo<yMqlVdsihQDpsDuVKeVqUWwUwWhuG\\SqppLiKKesEtJAaU]Qo:=LAeMmUtQiJrUjYytnym?tMG`XGEK^qNyisuLLYuNAeW@It^ASUDxRlLjxlq]OEaVX<j=PMnASvTToUwXTpuAOfLXcMy_xRRuoamjjlo^lknvx>p\\[FfKO^Y`_i?fuHs^n_GVfb^_xN^nWlyX_eow\\Wk`IcWhjAfnmGhewpEyobqxqQiuWuUYgkvspAi`>dqp\\LAbGH^l>fJXbAap?XyKApTYhCadkHxhHkuOvCaykngqXjJGj^hkE`o\\_aAimWa^WYuIxlMIjUAm]`hVs__IUYYCedVqvb;tO;Cr_ILiycmunyI:[hHyI:wYyYwy;R?QTTccooYKSiwgiVwTmsrvcgW]ihAglqHheTE;V<UiaeymuHxYgPeHWcgh[iS?voOgnqWCEXv[rjSSVGtLAIIAGI;fJ_CHwsR;fjscGWdMAYfywsYty;BJQyy;rxgyisYOwBWyI:ci=ywy;riQuy;RkiTFUerUgQAhk]Tpke]udIAhLoGg_fuGchigGyeSQBfOWx_WH_bIurJ?FdAcR;BqWBMowy;B\\esxUsVYTUgSUASO]wiSSUcutkTaGi^uXRScUSflCX?URgged[rJKwOCCrwcSgbHYcHyexIrQyI:yXgyI:?IdaycyI:;WWyqxiyitYO`upij\\estuuDITg\\ySIVs@VkiJtEYeiKQpLmqsflu\\Enm]LNIR`QLAaKSLOUuwohnrYP[uSiluptXG`Nt`RKIRpdVeiXtDY>TqpaQ:LnGTx>TRJ<y]MJjPS`Ev]QOmyvy=JZjw;Suy;BwjYk\\QoITRglYIaLrUmFuThqnkPm\\evYlSeqNFYQPmR<Al^]M[uRXIYaIM?aX:LkV<uRISmyvy?BVY::y?EhOgw;EG@wB_uwbQR@wCUyA:Fd`ysyEJrxjo<Pw@o:ax]LujHpMpvIuy:YwywxgyirQovFuyAZbi]ywYwuoyI:OVeSu=ODFuCDgI]SCSmyfyI:vYwAPk]hsYpy;xty=jqewyGxOgo;Hw@wZ_p]KijFxmpvity:vUNVXpy=JJkx[o@pw>_:ax]PujFpMtm>B:tKp:vQfrPs;\\;qeKgbFsUpyAbYb\\AWmyfyju[PArnYn=NtI@g<qrIWmyfYruJd`qSyIbyB:ebPkhAcFRoUNUI@kTlaySyQJ[u]Ip`y;xGDxOio;DW@yJ_pmKi:cuy:y?@omyny?BVYrTRZIDg=mHtlAtSRavqHq?DMEuKo@JHIPV@VYDTPuJDqW\\xQ\\uvaqy^yUuqSVToBQWhDnbQnD<nZxqy=JIXmIPy\\yinY\\LwrxqnYNy]y\\xYkTOkyA:scUystQvy\\XMPtAqY`xmtUvQpYELu:XVxdnoqpy?FxiC?_]PvQWeiWy@NwYQyCgbiwc\\?eiyjytuyCuPtyjgIvI@yy=ju>ZYOdy?wRT\\kyXwiiZxe`UIiWSVKWQaZyNdy[SnwL?u]ipbgpgVf@qm\\vqoHxPfn^hubYx;WncAxSYrfWw\\fs>v\\FvcY`[?HeX@dRnoJqdbNxlFqfxgJFwTqw=`obo`k`y;wtG`lTWkSWqUf]v^l]gfoGabwrSIpLXf>G]Fnbqi]miePHl^hucquoFxpWqd@bjHwIihOfuVpj?oacWyN>\\k@rsNd`x^XGhWxvo@cn>ioVcGQ\\gnbpFgfx_HvpungdV^V`oB@jHXauN\\ufgcAsovvPGoaVayweOyy:V^HyocVhSaiyxoY?sAyy:^jY_rPYwGvpva_iW\\_nw\\PeUgmPPqpW^UNhaAhppstSjsbvIB;et=;RtwyCiHy=SrMwKCxQ[BKihxuSgEivqXPMUlsbASeDqyNuy@Qc^WdqMT:mumoduUce]Y=ghh]XxahQybBGH==Ic=TaOVIiCAgWXkrsGWTohAyvS;yy;R=kDToEQGesKebQtTkuluFm]BJ[DPCYuEd<_cV;lNexcIwy\\yq\\yKLRTYwqHwUiThAXjIWXioElrTym>\\Ox@nr=J;YVa@UE=w?pJT\\J\\qTsltipyEhKDDNF=jmLLAmy_Hx@HJ\\uQGTr_=OT]yBEx^tlTqKkTV]Ex^pXTXxxmwceTRxNtyPD=J`=Na=Wa<qoXucMy@IM[tswuOVQsIEOXeR>xXQaKfaRgpmwUmMAlvPSZ=JwtJ[iSN]xy<yBml=fjPptXQweVqu_dRDSUvjAGLGtF?v;MHlAi^kekMWxQUxqrvOeeeGyWfUUsHydheu]QDxAfrqinSxIoEEcGk;F=_yWqfM[uXSra;tTQSrGx`Ayy;R>kiWYXPwGxAwdCtfMdHMH;obOwF<mHG]F]]sgyCqCb^wWiQSoWcEUCU;uFsXMcRFGdIGeR;B:yexQw[kyOieCaFrQVMho?`VqEwgTs?lJ\\TvjutLPqOxlBxsDYrriqtDxCepYlktiyYEjlPlAtRwpyiAR_ivktTvYPkMLihk?ExA\\rpLu_hr>PmGhsAEunyWnYyA@QRAQuEOETmL`RJ<JPEQyPynlyaHWxHqjyv?xvOaxyLktpUbmU>DommncMt@TxalKllYUiXbaMxiTPusfUXeysfxP?xoXIwfiKEXpVYrnLRUEyLmnGung`tKhwLEpAAu[HtYHRXqoj`tLhR_`rLYXSlMrMvbDWU\\q>qYkEmkmsE<oMUxWpvNToAioguXxunEeoDDttaPwQmy`S^]QIqjmHvI=KTqscLVyqmrUmIapxqsuTPWEuf]O_DR]dshMvfhoaLSSTV`YqQ]Ov]MaaqYTjghPGYrZir=xS]eQpYJ\\XWJYME<Ofaw:PpotJL=NV=pphV;atC\\Ns\\nvaNOLOjqyNPpy`py<KEEwpMl[DSu`vamOHXYHTwhxT<MuoxOTQMGynolleIohMubuvjMvSamv\\KHXyMXT`<PATjOLniqlcyutmw^aMshyQ]sryQ<`ooXoiLkT\\KXhmrijgxr`TWKeSvxxeynRELmiNfplC\\q@lpE@JMMqpdtV]wKmMmXUyXlnusKPUvaPk]ttxqH\\yHaSthNiek_qNEXWfXusXUshW=po[ILqPOW=XtQMnYUEXQbhXUeM]ITjXyuUKbxN<XMuDWjLTs\\S`isJYLCmQLUvhYv;=rSHr[mYf@wTiqiQRi=MdqTyELoHQgyQlxO^lPaxsl<u:HkUEs]avsgcv@lVihIi`D^eGQhuh`KQl_xi?PuWyai@tbqwvgZdpu>NlaQvAGkqPo:PlgnnTPlav]<QrJA\\twxhxi>WtvIhhFp\\Y_o>y;PvEWoWv]LWcR^rpOuqOuDVmEGgqH`uOfVnwWXpDambFvCxo:wkGgqj@e^It_hkg@pU^wMWlqx^txa_fas_[w>Zaf`HNjnWwWVdJW`UoaU@odyh\\nw[a^UPiE?^D@aqobWI`p@_@Aaw>s?>ovXdmxxU_yCogqvxQX_iyy:vZtyfCNoy>k\\FxYnjnXoyFkxp^P_tiivpXq@XwHWt]Pm_VeCovLwZSqbC>gJahvv`c`ZhWwxI[OqfMq_aCxIfrqb_?f?cu>kTTUeZOGLyI:iFMeiAeGoQiYybnewdqVDeyD=uFktLCc_AXXuDe]IIUDaeU;CeUYBYwBbetTUfBMYECsZUDokvJ?CgYU?wXtiF;;Ur_W@kurWw;GWTWXtqelQixKyNIyLwHQQhxMyg?YVyh=swG?YIQTjohEiwEEx=gr\\uvLUdgoW`orHmR>wDLeFl;dwUXZgVIaI]eEeUw@Uto@pkqjuXnEExe\\RQLuh\\lfhNqTnIYt;mmPUxVDpiUpgMLjDtkij@eVatn<LQBpQYqQOXW[eKmdr[YncIP?EWoiog@xN`WB@Ou=PcMJheNNYOq<qLYsqmKQuwHMJEekPUyOYpjiLnuxQHP=aM?mw[MUPANE=mElV[=xRlKA\\Qt]t<]oLLpHquFdtO_jOWluPxtoiAF]kY[=Q]xymp^kyAZjQpvhdlOmPHpgGfk_[kAeR`klogAvx\\?uh>iWFbXnrtX_y^ZdOa^gZgpy\\>y<PtlFbMhgPplZXyMpxHOrWXvewaLVwa@buq^Kxgig]XhpeGieVcn_okyrXfw>AnZYv]>jsIahPjGN_\\qhHheToweNp>h\\D@_FIhwOcPhgAqaaX:WWTMTQksKcIyeYFUTI=UAsEwsYwssp;H>kyqEhaWbneGCkY]YWcUHoEtskVtoxWmxoWrlew;mhfIXswiwIBQcY;aXpku`YTvExy;r[UeY;CxGFNcCdYEryTfMikMeuCcaCUBkfpyF_KBoIIAaem[sD]HWqYQAcjoT;GW^AEAMXT?RxgDfGStCGIaFZmsCmrI=DtERJGWt]bPQyGwVEehGAtXec`qhiCEmgewKIm=YYac_GeSoi=;vNwwhyI:;HAigToiyIT;AYyYSkwr>[ykqHwyI:MfPaitiu_gIVYbIAxM]CIaGQAt<]c:qHV=BQwFi]uo=gosGvwEfoV[wW\\iBkYu>cBhIEhyVWGWa?x[CR^wy\\MhEIdeIBUgdwMgckdtoWYgXc?IHEwPeETEg\\[CmUFA[elaVB=SXshQeCCiE:MSAETMaewkgrasHSUoeuC]rkAfyGWFafkacl=GEKtmSxK[T;EuCGwa_xy;bZAUDGcgyI:Gvy;bGmuo?VEsyQSGywcnsyRKGxqIk]ctigw]v<KeNIxMOrL=fjMcgkS;iGF=Xl[ThssOuDvwyqkTnsSTQGXgttCx?oXmefc]VRiU:qgZuhAIc_QEk[E=]cccD\\[Tr_wKssvodXGR^AUUWra=WtMGCouKIvr\\j;`usHLOApZXLEeWRHqh]rmEROtvHUTiQnrYMfTWI=LPtLTqOYTwFXQ;eO^XTXYQhXpKhJTXPV@vaqKALMLauGiQG=w@iwEQymuyiHLYxLvqYdyieiwy_xDOdYFyDVryeQiyAWhDcuY]yxOwYihp<JnMSMykveZeqxc?yiqtdVwtVknNdmGwAoaN@ZTVrkqxKHh\\y[=Vgth[^Hp?Ghb@uEggMVsWPkHan<VusorB?wINtqxaDvaDNqOg^DOnctnYduIbd]wksEG[iTkyV?hAkrneyFUbkMgbkTmOuf?duACkWH=;f:GrV_gIKtrMUwUwEkYKSyp[DoCc_Gd`?hxUYGMBUyHVadWqwKkFPsbf[R^av>GRQ]Xdkrxewi@OvQOehTOPwLDowXuuHYCTOe<MplyS``dHwqI\\EA^mPt\\QlwNaJafBP]JWs]n\\^nlUN[\\x^DNkBvrDvdS_gfXnsXgb`ofot_YpSPdWaZFpcmwl@ycmaaaioR_ybFafpjKGenHsnWsgq`xIw\\He_im^F[e^ruI]uPalIqWFrGq_H`aqVnsIs_XsiGgNns^>g\\__kX_?fd?>\\vIoJ`q:@Z^NZmouhaeFnZZCRKD?qwaqYmmIoksDsxW[CecwYGbPOe^OI<QHG_VXqfRmGh\\PJDKR`P<@OYPx?IQ@TUbEMwHwj@WXYlA`RlAYHdkHmyeDS>@wbQmWPrUMp@eNKqqIYqEMU;<qWAqCmsmdsimwy=JiyPaqraqYmmYnMx?`SgptIQrthnaUuimNCqWKDt\\]LVQSgpkAmUF\\ss`kPDR`mUR=JC<NFpUuysA`yEmPgPv@mxOQmfAM=IyhQObHM;]UkPKBDJwPJIPSYXXyIYyLQqxqqYmmYNJloKAxq]Y]LyHDl@XL_TSieWa=JimOo\\okIQElmBIs^QMJQmxxLyyqJqyyDvGauy=JXywHikIiI]Hu[HQiewww_yqY<WyyujYNuuE:UDqyA:MyXcs?pyQQty=jaMyYxTvAoxytL;VdqwaqYmmYnmwy:FiyPawNmEnkxytLyy:vvty]QaybnY_@jNhuIiI`uy=:tk`Qj]yqo`xyHyxyjouYDxqo`HZWyswMnmwy=:xRmDrkyuTMyYaYyYrtyY:djY^X:tpmuI:HuZ@qieWwyOxyY:HNwyY:PrIdWw;jUHqy=:XmYXI`WJ]uqqxxxLy;YVuu=jG;h;Bu:<:rK:j`JiS]ZpAghVauyeEwYyFtyuQ[ybqyQQ<JMuxyxHGtswyvVinv<ZI=_tYQUtyvvuAhsIiI`EbANsmpuUgedqdypfShfTQlhYuXX`mx]BqyO_fngnEq]S?mkqkcGanYoDOs<q\\Dpcw?_aQtR@\\Yyy:vrGxrwIhygy>^tklNYRy]u\\yY:DTeEtYyVfuPVxiPx_yAZZPmLX`uAoyWwFxeti_bWZI@yOptUqy;QqqpyLHdA_rhppYqxGfty`xLPkXqm>IpYy[ywtXyiRYaDwy:NtMgeipjSQdpIxWPjbNqJpla>ZxovTNvxp]yAZi`qyEfgU_yI:CgcoWuGcmYHNoS]UVySw?gufYhBUD;]Ie]FlGG@kUS;UJwBkgtFsHdsvqExXyI:]BPQdEAwRWwPuWgoGCgixcdW]ElYCA_C<?yWmSY_Yh;e:AeDkF:sf`KIqeSkQfdMX\\eul?wP=UjqTS;IfAscWIjmy[iuQotssUO;yhgWvwsaGs]WwjIwpSwDMUSIWkCgJ]Xp;xbaB@WXJ_dlmtVAV]=h;AbGWy]YhvwwqOwp?cImBEcSuAgTAB^sWV;hqwEvwY?wR_GioiwFqgyyweSxvQSGSXwahvwy_GYQKVjgSeUsposJ=Ec=W]MTxcdI_ssah<kG:gysIReQdc;vmgsgKgy=iL]f<QhvmYFSBysXy_xjSbXAUZkXoYTfACqmHT]THqET[RMsukwiPaFaQsRqImQT>Sy;;S^gTvuYeOW>UfpuubAUAgTTySjKByYxgWrGwtgsyY;y?qrcIyYIHy_FC[W[eWD=UoYUN]vOIYgiWRYvEAsu[wy;bayvlkCACinuTQuhqsTIGg__DHcHu_Fv_yB;CSCfQWvj_Y@uBVETEch^OuNQTSIuDEXUqR?kWhSFr_f=SBTuuK?tjIWJWXVUSoeh]UVTebf;CEiTUuGeOr<MH]sedywo;fH_fHgh_gUnoiiGy\\ETiivOyhxyI:GFBiOthwVPndMWIqq^=Py@wutLftKfyfFHh:H`ROyhwphx`?i[UgbNikVPifOaNw`PWoXVcLXtCI]qOhA^^ZNr;Px]QlCWoTnt?x^D@nHxuV?pMql?i^SOtEVm^OqO`]<VZG>v\\ppCVr:>ccIcAFjnirkaeXA^rpm`QxS_oLNsBooY_sPW[]nqlQaMvl@I`HX`PQouNeKn_Qve=ijQhxmQaMgi_okhGnYvdOvdKGpMi`Up^ohq<pupauJPctxjJWr[pxxvjb`w?wZ=QyK^eyOfcAqwVhew]ruGwBA]HcySC?wpwry;RSguZySQCvS]ycoUa_TSMwOQfhigr;UIefiyFdEccewhCEm_rlkTqgWUAQ?YOFhMZiYPEqI\\kY<mGTU`dqhIsBxPTdKDqkdXpWPp;HWr<XAmY@mst]tQMuHQnpTlUEmgeXuEmJ`NPxxKqJmaLoijkYjcmJ>XvPIq^aQN]ylTugItx]SRqVAYtVDjJ<V;hJHQk>xv?XlV\\KFpWfXU>xuwpWyuujinfModuYqyOLxsaqPxtVUivdtRkMQ=]QqlLQAmIeljEJEuK\\EkPiW:anF`kouoQhY^\\qjLuI]JoYMeuOK@Y_lOoDXsuwjpYLUvJxKfuXq`K<hQuna:wkXPbkHr>N[oIZ\\icANdnWtoAu^Nth_no?\\TOwB@pBeMirlUUkutfWvB?ujACHCsOmFycExmtcywjyqBdPuEYi\\NeUqeXqbmUGQtg]SfINMvocvbW_o]A]>^f]?j;GtxNpOyhxyq;OsWPchgt]fhKyy:vEsHxYBkoDw[ctgiAACTeyBAgtGUkeyDKE;wdRmI>UXi?IA;KuxgYXqVp[e_pJ@edop:wm\\nwTael>l=GohA[xqjsxsApxjGgJQgKfeYYcoWoXaeUhw;oo\\>eRFqBWvPG\\cF^Q_fB?a^N\\CnsCOZpHpg@y`OtxYf^XwpIxdQo_ifkHp?arLHsXXb:_mhqs;ogpvvf>h@vZhnscaxxyq`F\\?HeYIlmw^qYmY@uMHuI@yOPgLVu@gqgnvwawAWuY@mFfx;IsfH[vFbq_o>?fq`[PP^@okeYdMIeh`\\]AZAY\\?>svwvm?f>HrSvuqIfrxeMNwdWj?qtavcLIxQxpLynlv\\Wfr=AhUI`vI\\aIas^aFnxtfdPimqogyHumHr^F\\[a\\<obJ>Zj>qYvh=^]pgr_w\\PfwAVs_ythYfDhnCgpCNeWOqwguxOeO^xEwsIvreg\\`XlywnBh_]Q[kXrd>lEHyxiqtYxTg_sof=y]eWjyvwDhfHim[oh[p_fhohPZp@v_fjVw[kOm?`pGV[i_y;`hYay?vcjioyAZw_vEoxwigramygry?]VAgxn]m>wTojLxg\\Nm;>hm@c^FlKgn?O^rvjf^sRFjMxrVw`DGw^Xqy`t^VggO`CfgMgluWoBPkRFyxA[RaiAauZahuau;x[E`akVfg@y`gi?v]uqaC^ca_hK>oSQp?Wl;XtL@mvicX_toXkEG_>GesowVqgE?g@GwVWhHXa=Vt^fjII]_p^gywDarEYmQxuPpm;wnc?dSWaF_^LXiSpZ^nm`_ufiaw>Zpy]JidRWsewdiVqA^c?PrhP`?WsH^nXPwIn]>pk]Qk=Wgs_oVNwdgggGZ\\qtsn[qiaq@qAA]aAgiatJHaLPySG]@Wla`yLh\\DNx\\Hvg?lFPZungxQwxy^=^oeVe?gfsIln`hPwk`qb:QgtxqP@hf_gVvfVHiMxk[qad@n=pypiad^mqIj`QqQAmSf_gQfeWgNg]`WlxW]cYx:>jkauX@`dgtdqZJ>wPf^[hc[po^^kJPfEHa@yiv`yFxvy>ioIr[PtefmtOuDa\\KGg[?[WHlQN[iPtovrZ?Z\\G`cis=Wktw_cyy:>rmNllohUwukyYCsQ[YwSf_oDK[bLcdmiDYYXyMy@gvUMGCaFQYf\\ISvWT\\?Y=oSysUKUBqiexsgG[Et]HpGX:EFsQrBIfs_TnEhhgTHqhvsBZewqMCISBRAE]iXAyB[sCJwVHqFkIVk?GPGEV?foudEgSFqd:MbZmsGEEO[v<sRSqF;CiDEvtCVX?e^qSbeB<Kge?FKyuneeF;ty;r]eGryI:iH?GwlurkoXbwvqMXU]VlqBE_G`wiwSH>?dgwUtIwkyfgOYayI:_xoyI:CTcQdmmCCgXc[ryLv]uYv\\oy=JjIpyGxdxa\\YfyAZv^_y?xkvy:>yOic;Hw@wZ_@Z=wYarAmYrAuy;RZYvy;bkKwy;R\\YNrAuy=JZYvy=jkQOUXjL]KILs:xJxmnyXx<yRyUjYxiTVnxq^yVx<yryu:yry;R]cDpwB_;eX[D;ySv]sy;bagrIkI@yI:siTYFxkvyxv?xKxmjytyTHOjdqb@rn=NBxY::>VFXZv:>Y:;:a:RZbkR\\>X>RVVB@F:l>:d;:H:pB>FL:ba:sArmQJx;::Jjkr;l=Jv;>:V<Z;\\@]CLrKZkk[Rj:BM:b@:r:R]JjB;ZX<^YZIY;sA:::;A]ABI:kAJ:jC:@BTF`B[A;@AA\\;=ZF;ZT:Z=ZG<;]>:tCJx;xv?^Y:::>VFXZv:>Y:;:a:RZbkR\\>X>RVVB@F:l>:d;:H:pB>FL:ba:sArmQJx;:ebEaTN_fqKDyqV;WC];w`Ixr;s]mYsgDZoX>isDSU]arDaH[;by;gnAinSFNIr@]yDUwguyZeuUuQKyr>qopxUpikOyqnQlDpuX`rktUIxii`Q;JuB:CoWyP@xq]qyiqyx`ny=JKAPQYljyXwiyaiy=`pidY_hPU=Y]QnxAWFxVgMtoyY:lojltm`u_DPaqUWMw`\\T;M\\JVke?eIY]WwuqHo]WpixxAGof@yPPuPielpqnfyDf[LIpsyhF_dL@ygaj^vxYFani\\[`ojxkOWcEanevf[ogLqwvvZKPp]xZNi[=qmxfhy^ceAc_>`RGgqQ_?_rLhkA?d^Vvhw]dvnJql:Vf`H\\tIhXgfIokYytoyiBQXqGoOuqiHyiBx?CLwSpEb\\;D@ExdOifas_;I`iR@IsisXQAGAUvk[h`uGVSdKur?Md;mhlaFEOwGkr>MwRsFySXLGxVWXLUpUmu\\XMWmyrMU?yWVEu>uQteRL=RDxKkUpaaXael`Iu@DLbaNsPN]QTt\\yOxKiAsVew?ysj=or\\W:`JV`VOqrPqyptYp\\ugtyAXsvEunXl;inUUucmPjIYm<j]pPqhkH=t:`uAMPHLpwARdMWwqQ?iwKpvrxlGaQYlmfeVjYUh\\lHLss@rtuv^TlKEu<mpPtou=OEIMt@W=aUFAUfYtbIqu=OuxkAMLCipGho@YpQlQCINjxn_aPZEMQem_yw=xrCur=pVH=STXw`PMniUwhsphpPeqv`QSapThwehSpeUpDqixV^EjB\\s]utmiyKYJAMtAen>MprQk^iLlaWf@lkUQmaSbiYAMKHIxX]PTUQbaOTELfaqJ\\JnHT`TRF`m:XNhLyuut;<XiAsNaXsxwHxp`LwPXXCMLEpNTtUo@Nk`KxiSrlwD@sZhVM=jFlOrHme`vUltlYYGhqVxUAyouPysDUyyve=vY@YbPny=J:Ijy=j?UTS\\QAQwspk`qRsEy^dSUXrqHwnlpxipwlKkdSZqPaamIprYLpCAwYqu;Iv\\mPgayYMwkmu`DxhYO`dRFHXrQt`qv[YUaeOq]lpLSupysAqCYVFlkmtsVhnQaknEWxMmqdkg\\OhuwZpLJes?<M:dsjaRg=UNmmETpv=nF`vK`knaOi=MUAYIasLANL]x@iTvqrqtpHxtt`JqlTJaUTYr;XyrpjBaLPdqRLJQ]OlqSKetouqALUdmUFdUdtm>\\ppAX?UwlMQUMwK\\OiLnEiQ\\<nPhK^iUDtxy@s_=jgxXBtMn`y;YX?]xy=jShO^DwtilXUmlQPrQXY=rflrpXt`dmh^e@ybs^dR^clI[=^aVxvDXX;B\\wS;[iOUFvAikYwT?gtoU?QYtisnoWJOgQExTscbuHl=cO]t@YGJ[reYt_WU;UEXQdj[sjGgTgcqUCvwd`wvAmGiWfsYXL_yRwVAuc^;c]wiPgRKWrWwGOyFiiERwVVwWDKyaCRuwi@kIdMipIUZ?EoaDLswT=E>gw>ScjiRpewVkGHSuRARHiIdSfByvhAWuuIU[BiYe@WUqixJ_xA;hIhuTajt@pP<XNDjGhwNuPXIUoERm<qPux=Hl;AsBUopqtTqMGdwWhn_hoWhVN<KL`PGlTCDTADJNIjj<vIlxm=uDdlnXWWLpOTL@exK@j_`o^uyQqK[AK_Ik]]taAPCePfPmwUnHqlqUo`tmjAuwiuBYUHIX=iYLYP:Iq`inbDoeYNvQJ_HyGenKaPwyY:\\nSYToUqedXgdwhlvKYX@ErHHMoYtBIWxalTpjKxnY=puAKRPS]PWEYMnlwApN_AnKpmSmRcywneot`xAHQopRODYCyREMNYdt[=sx@vaQK`dooTmy@ylmqUapy_aiAi_G]fAwtVfkxZwfsN_mgtdoyY]V=QXrsvUMiyAty;bfeCTcv<yU>sTfYhC?I;[vRqHTsDNcuu[rRwiKkry;Bv;rY]IWyEUOEbIey]rhsgxuecYcyOs[iHsstdKe`wWr=xpUEhwE;srAUwSoUQYuy;r^mbyAyhyI:MH[Ue@WIREbymWYoC>CR^EdgcrUqIsYuAAVOQXAosjYT[Agfeg[mHACIeKE?aBqsvWwSgCdtoWe=xpQUbYD@=evMXWOckAWyEYsIVsOdhUTkiIyEvuEFmuDM[RbOf?yRuWKqlyCLUwAqdXk@@xGdyy=jZMWNEYn@xG`yY]YWPRaUtuEqxHS^@PP<Rkio:mvrtJvqmF\\UZ=OwXXVPVW@O=hrL=m<eknfme`mCaagpwtGpwvy:>lVFeupmMacnxZEI^AFsNFdbf^CAwdpqaxy:vt?Iba_geI^NixaFbhVtoX[volcat:TYqti[h<iwXQyiCyN_dUUxtmY?qdWaFUEX`WUWqSpwsuUDm<mWLrZxvcYlNQVo`PG\\pSQU>HWXDuSMUC]NvlL\\MXyqK:aMZ=JudTGLnYtPdyke\\U>]ty=jdTPPAMUmMs<Xuxlv=X?xwAuX?MokxqwtXtyxsqK>xoiiQtLyqIyG<umim@mMtLKTeKneMaDlQ\\YyMwy=:yEwLOKEt?uyYPuYdywyoxEkD]lOAJnDT?=JNDT?;jNxJb`ln\\j`AjwLktpMcXwaTSciMCAXQMxBPnTiNxlWA@QbMP?ytN]yAUncyTGUVqAYCQxbpoKinnPPgqtHMTFAW:uvAvvDPskAuyAZCxlA@u]o^vihcitcw_ifhWW`>q]]^tnVo@vqpFxcwov>Z\\qb>`_uqxH^wA>^qgrjGvkYdWPgkQmLq\\o`qKavKqrNql`fqsfg@NlmQqsXniOvgP[u?mgVvv`lw^r\\@_vWse>k=IqbAnv@f<fiCf]xflo`mH>qqyr_axhPdoGxnnxPN]yHk_Nx^nqQaxmygaX_^Ge@Qpp>tIGxs>sg^x<Fqiq\\do\\tyhGP]dyYwTh_VCgVqASg[gowhqWIkXb\\^iu`r]wlHIuV^pUp`J`mporV?tLgpIpbFhvrfuXXmVAvkibrovEXvY_\\coaR>tPQyayctPanX`sy\\MwwK`oPia<W[pomaw_C`lgntlQ`;`b:w\\ZnlW?cvGh\\Qh>>\\UIwtymTyo^Otfw_gH^\\F_hqlNoajwejNj@pZO`rdwr`ntY_m^?fofaxVlvvfoHhTv[Fh`Wxb;QqYQk_GtON\\LIsXXtIodg^_q@\\:gsmo][im=qs@f\\<qwG^\\SxZDhvvXb]ig]ocrPthYd>QihNpKY[cXccGpnHhkVg@O_MpbLD@AS=qxg]Yl]E@qr\\ABpETEkUkIGkuiYueAIe^QYJegaQhNgfo?yWct^YHKGV@iECQeI?x;sV:_Ysefm=BK;uPYuNAGxygNsGxAfCUVGWi\\UuA_UjCB:cW`ktwarigEv;x]qGCKCeCW_geDAB:iEc;i>ku:MGwAwversieQYcoqHkiiHeUcGY_aRAGttSd[UXeQFq;xBgg^ctiYeq?RnakGTMOpskYyHIm<XU>QuXILjyT=Qushq<twP]tgdOXXsu`N>YyaakHasU]VN]u=xpaMLn\\m;LJLMQQYjLYPGuor<wm]MjYPUip]mmY@yQPVWTvAaQPINI`rqxPMQTBaSl`rHUXCiqfmx^]KxDLmALMDM^@V`lsqMKxijkqSotw[IVuYSWTxEUqeekdLrEekPaxB=xAirmiLK`yLInRYU^hR@@Mp<YleL;<xw\\QwIRt=tIdOryr=lQ_@yg`PWmnllPQplkAU:qvPpXcik?UUCylTTthDw>xonpQVAKRxPPTRthMXuUCYV]usJLUEIwfTwetNC=WndMuxTOQlM]SEhkgXRVUOltwwAJ`LnpALhLs^XKH=l<<vtuMdIQyiqeuRvIRkyl?MyWqYYTfUicmHqrXy^vdJVciwj@XcsphAAlLYoM>\\rwxsIfNQqlvlFcO[yAWVwqWA?rj_DoEeywHfAvK_xP]damR@Gg^Qt\\MEKquLOHN]S`_bCSUSuXZsSy_Hr\\oLyTNxr]uqRPureRneuLus>]kT=mgqwNMS\\TPuTu^LPGQMQXPfaK_qXflOxprsMXBdmYTRIPLdmmZPJwexedshlVeqxIlyv\\L?@t[mKq`NLXNh\\lJHR=Qx;ElpPJFqkLMkb<n<Lkb:::srSChexgGfty`XOfIESWgO:<Uqpty=JLMSenx_BxqeywOysOwi^oVusIEycrAeWIrBUiNyEtkvTKFxmeywwv:dXp`jiTuDLlITuU=ly=jc]ko`KqEOWvcHojtAu;q`kY]tVp?xavG_HYtdyn[p]`YoC_n@wYoh=_GmYfX=WPcH]IhvERxuEHGYfsYlyssCwaiYnAGm[vaey]yqxdk^Ew?mWaMoKYlspPTiTmdS_QN[hrl@S@hnuMkpeWVPyd\\VIlVoPocEXW@sY=sWenKDYByKWiRHmswtSSxnLIQyMpIIybyY:xxKYnFyLxQyyhYn=wNQn@Ho>qusPtgmwiXvt<QGHOBtKg@mv=osUs;hUI`sXhmtPMv<LJLPyPK_aQCwsAwy:nqG@^LpcX`fYxxSqnZplbhnNfmKqtN^Z^Qk<FZJQfsxclvesYwafypAgmi^yAZXPpywu`wmbnsqPm<GqdY_MXx_vYZIP`Y;fv=VoKFjTykcFi]yoTgvvFsywvfxmqIu]`sQpytGsyAZwOms>bdQuoVfLHqav]aPc]aiU?x]YrToxWHoTi`FpdgFo=a_QWdTYu>a^yG`DWp_?lG@yvn`lF`QioF_fQpyt;lmfymmIty=jiUnLIW``R[DmTuVOMkgekNaVZUv`DMmEWiUXETRvDO^hwqiL@HRvYORLlCuYwxmxUYnHI:qV[eX`WTDQwFQeMaHs_W`evEWCciw<eWBevZCNhWxna^DPtEvrD_vFPlywSyQYw_Sx_vaxyWybItRNheH^@O[KNpt^wTfc=Ptsx_lvesIwafypIgvGsy;XT_AOeM[]WZO^]kHlSF\\vajaAlsn]oYssQlyAZIIeyvwmHc`YsyUICuy;bitjUhjGdOqxr@LuY]PEio?it@iU`HU^iOoQo]dvVyXTAJcdXUyMq@k[MLS]JSlQfMs@DuAUNVtvX@rF\\Xshl;pvEuYwxuxMYnHYlxY:tsAyIor]Au@_Ewacw]UNEyPubPGH:GhHaDo[RFst]qvCsIwafyoIGMRCyal\\g`bMAteIy]Pm^aiCyIJLIyLxIbKQV:CrYhYOyqeewy=JnGoAOcixfxqpvyy:VtDyibaleh\\Bcb_f_;f<MCD;W;?g^ONg`LNBcWYDME<GGZWXocw`udMQUHIUXARPOXCYVRkrR[fKaEweRAGY[MUWMwLKw\\ugP_hsCELEiGoE][x;MrhWeJ[C;UVmUhT]TPaTcObVcfrSWsyW`CFFcXrmcMQSPWESYb=ot@qVXGIoeslAWU_SmoBQOynQH@eUH_TOkvZAvtodNmdpMTVeBmgf_YHIkcvGGTeDcYV@GhoAsDSfaIVhMGtUwPmgfMDUCTUUImwUNgGZGH?Gwj_R_ohXWWFSfAAYbYiJqTjsRN?D^?T^ApNUKRTkYXYZ\\KiXtMqt_PnJpr\\LOb@UOETA=nbXUYiqwHybHnmXP<DPVllpAP@EkgIl:QKsTn><VF`VHxkb@v`qn\\<jehpGXk:=lwhk]dRSPtK\\PBdtD]Kc@JFPj]HJb=QV`TX\\RyLwuEP>PN`arRYXsgs_Wv_y_G`rj?aa^]INcLPk:vkfqx\\AvVYkr_alYqFnqLwwefyWAuHu;mRkYrUArpqvS?fCCFdyTEAW;[cHUBcAEfsy[EWLED:aClIfECD>UvsUC\\IHmaEawVHmssQYm[SPohDevPqSO_TjOFeOR:;uLAB]AEB_vVkh^ou^aTN;D>qvLAdDSTUUC]]VdKtqMXQKxcmC:AIBsBa=VjMXwcsrCBC[BRCfZqFFAu;EiyYyMqWu_HcUH?;Rl=c[MD;_vJaBhuTbmV:;uFqW@ACHKx;wBbwbbqVAUGe]Ux]epqHcsEYMf<OGvMDA=b]MrC]YdKGbKBk[r\\Egh[BkWS?gEeqx;kv?wv:AIVsbaacqqvTUUUQu@ItTUuUSE]qYp=U\\AE=kH:]g<GbM;rsUWMELD@o\\<JDFc:W[?g^N>ZnPdK?bEfBJc<w=`krilPYuxgHuQKybWsih[ySCejX`rkteywovxy:>ppglyAZ^pntXmXvlYhxtyutq^Tfvxp]y;:::OxPef>sUNOfPOCJOTDKEbCRkcBg[T:ED?[T::DjbdRg\\l:`LnDT:IKDDob=n<FDEbCMCT;_Rfn\\@jM:@lLMTT@JixvxQpy=jxmq]yi\\P\\fhduSwivyPYsySwALOtqwPqpIn:<NL<XlDWpyQqYulmoiarjtYcAy]TRTaKmtsOpM[hnK=qRenbIuv=O=AoV]nJDQa<qZXyPALriu[yoiMWWxjveRiHq]qYuptV<lEmUpQpaYLSMMUymuiOsItkxqtxUOTx]IRyqkI<kyDVXPMteMaqwiawkuoIqXVhwWumexsWikv`xcusDeqaAxYMrQpLCeXcuXoEx=hYSQvOqOWXMV<x>=yvXJsYToxq`]y?tsxprpprxUWx]TfywhyP_Eum\\yp@x?`qJtRkUXoalMNs?`fOqoN@suIep@omNhj_ojGa<YlRaty@xe`ikfyeyy:^ySfuyAZkQwgvcsyq:vvYXf=Wfy[D>pS>^;Pwewaxi\\igjAYdywy:VjuvqxiaRoet>xPHm[y_FferYjBolxY_UI_\\>iCxqr`hsflNnjQGlNHo>VjKXtN>_;Wq`n[^PtuxbT?__hm<^eC?]bqk:_yGf^^_gRNnPPk:>?<jN\\LPyOHxWh`PIeJeQyOXn>@qoXtaMMpTNrdV@AnuAv\\MMQMvhASUAka=yUQX]XVyiXyPoftqG\\q`Hsu=WoEm_mRXprOqO=IQh=SS=rYtJOtrXAxYTRyxKUurmqOdYK_Dr]\\WCuOveRkQJmTVrhJaAJVXXDhQ>MRmQyTTyYYygrTyI:euiOSdUErYb:sHgQHUWcS[CFMDKoUqqXXSUNsd;CPCltPIrfARnQnPxt[yx;pw>dkfupMAK^AwVxrghupttMmjMIKr<VrYnbtnrmxWlvTQuy=JWywDikihyPaYetoD=xiYRG\\VVemd@WdQJPUv?xRS]Y;UxidlZPwGlpmipwtkntPxyJruXcyPMdxeDR`hLpXSiducTbT^mSNqQF>QG>oSvOTvQBmahpyI:uxUOX]YWygHyOw:[yl=Hj;ipytSDvuySxeqCuyDxs;yqmEwwyY:TjuySxwmu@uiN`@yrxYvx_d>@`dA[tQkApyOvMqePytY;irayyxRetmTAxhYM[ewiYrlAw@LwOpQyTyu@k^iQTdxrisfPx=DkW<P=QRrXo=LJwEwuuO>ylLhtU`tnXjvQvPDL[eRN<T;dRNr`WDeyB@iBXcw`Eb^KdrcXGQuXmCmUUgsycwHP?RHmbpGrKsSvUtDMvhqrpyrxUob@uy=JVywD=nYqJXukeTLeyY:XlCyiMVkIqyw^doxoA^yqFtgNvsptio[U`[LAk\\OliarQ>`e@slOb<Vt:Xe=@raYj?OvIoqdggyowqdKihyQaLWu[yy:Fjh`j`HuhonKNcJIs_YwqggkxtiI^>aujnwIN^^xy:fja?vVyffylRyy:>pwxvyAZXvnroxE^sVXnyUVygDUt]uioV\\jys;ArZmynumyy:vkLw`=ycBvkoqdtajh?iPO]wHudfi@gf]vkkObkoZ_Qfdgh\\?iPnw\\yy:Frthaoat@HcaapPGlyAZvPh@oivpioxpMWgNfmKqrvOceigyAZZsPyq^\\lKExehoqhY=dxiey^Pnqxnj@miyjyXWiyQfOcyAZLYdWgcQx]fwZiXuUwy:^b=aeqXrIixqympq[LyqnalQIdpidWY__ftfqe]GyFHpvXiC?rYfrSfaOvidNsUk\\QkilxIMyy=JNqqu@vy=J]]tw]L]uqi]tkHJvAtqyY:lPO=nRQnehyQpyYdXHLyvAtmyY:@LcpqEEwy=jbtmIMMXxY:LXO<jSQneTkFuvQPuCLYn`qy=J^yOgpJJyKsyY:\\tyxWbpyYXxD=JfDtOqyCmsxxUbhxAquAxY:dKLUKJmr?qy[tkWAty=jkMo:TP?utPDMrxlTEkxXm[xY:TFIS@qiY=gZ_c=KYXyrwOIZSSNedyMxy;rMoy[uYwYry;jKmxIMi::yI:]id;RfE\\afyyNwYvxNyavQgIPpyWtxInyAZwWby]<frO::JY`vy;ZZX[NfdyOpy;:hiw=J:m<::HD:Z:::jA;:N:::bI::;?::VY:BZ<OoxufymnyiJwy:nq[xYAqxHsYDyy;FX;BEYxuYukuIIIgyKfLyvcmCdUIrkD;EFSwfOevjqGMOYL?H[;RU[TFEV?KctYRIKu:qfoyxlkY];i_ksAsGoyCwqvy;ReuTJeH`Gw:?bXAYGWHxawj_xT?em?ynct`ODoScaItgmg\\=CByTFgEhOCLKxBshOKBvYu\\WvV]Y>qWVui\\osy;Br=deOhLcfrmwsIuvmspsFSmyReetaToAYoYSGyF@MEFKuW]IqOexeWauh[WGnOwpqD\\UYUcRmIyS[EWKES=BJshM]soes\\IwGUVuWGGqwdyHxOd?KTeubcUbVQX;ogyeY\\IUPSTXIhl_DLmHlmc]CdIkdQyfy[rmgRWyI:EF[auy<pbxiAIwUFrx__]v]jApHQa]WyNRIyUs?y`Aw[yqIys;yY:<LuQsYHsrYnBHtMurtqjMHVWPSHeqpIw]apoLQlLwTMJuhPmIwQYkp]jpaUeDmLXuh@VuTRX@tpLXgEwQuMJ\\QyDWqmYoeOCmtETUraXrdp_UMQtqdiK[`y<utL@S@EqvEqpap>Lo^dn:iUAMUvxl\\=PjlqZdw=<j@lJ:@m]mYxAoy=J>XO?arcxY:hj=PsVLJn=ppumKqyKlwy=J`HqDmXnxqayvZyY:<swdnIaVvITUAWqyK`DWPLuiUuaXQuiNtHrpYkS`QSivTEnqYa`>aCiaCis[_iToqcoyUNwbyrwxqeYhRf\\Gxy:>[iWky?w[@`yEhKsy;BsoFO[iE]GWEdiewrqt\\uYGmf@qEPcYkCFmeRo?h_ayPybFAFjUiO=w[AvMyvUIcyCdleLELsYLkuXwY@ytAmyoni`yGq`C@]v`kaYokVfrItVwZJGDcB:]TKvdsFxqnyCwsCxZy_wexmwa\\OItTvnfHgpQyhXlsgnXyZpvxJ`aM^grfgHP[Vx][``\\QttGkfQgWQgHxllnn_Qrup[xhx?Ayxiam_dky\\>pwnHg[opuW]UHq`NqP@tVwrDfpkhdWI]nos`Avv_uTFhJaqL?EkyLSGpavwEWnmD`qi^WCJICo;YYIbLYewIR\\yQnepcyUrEnimyEioTqNqmvcQSU]MfLy@Xq[ISodOmpsoDxVLYllJGiQflOSenuipj@pDlUs]kfiJ[TtOPSj`W`HXsXM_UnmMRTqPwxL=uOQ<yniq`yMgLwQxP?qWhqW^`VLDSjaRKqQ\\MRXDYUHYIiMeAYryY:`ramy`eoqtY>h?_FtwrA]yIuY=otU:OIQMuwyrFSiVyR>YUWqv\\qUQytjohKQWrYUfuu_UDT?GTSgckwvYUuCRVCtj_E@AYOcv;]ufaBASb?SGtcyeer]crMUWPmHXoFGgF@=snwhrgiO_v@eDoUWa=G`sC]ATX?UrwgRCXdsCwerqiw[seLAxTkucStB;sv;wGAuamixlynyqjykrUmv@YmlsytX;xWxQs]PLY@X`iYHpo@yTAuLQLQv`KxYOlTt_Lnrmj`uQjqNslkFUxUmLpMJ<xpIhU>xUS<K:qxOlpAak]etn@b?QdghngaspNrenpKVkkGiZfjXycmNjZNxHYwN@mB?`xnbXisOyi<ya\\yetQ]nywvA\\qxYESNyI:Kry;R\\yEtQunyGvZgna[yhRawyfpY?aA>^twvtYxRoaeVqqNeIpj;>^NptmxkghkaAyPwgvY^xq^yUbawMyI:=x>yevuDP_HyyCdGwcUUXSwTMgYggU_xpAT;IVpcfLAETiYh_Clqd<YYZIhqIGXUS\\ieXkDtEVE;StQDPaGScRNEDBOBD?GZORj]iQwsp=i^qEX?FoyI:AifgXwGEXIvLwioag\\CshgfnquXCVhgWacRFWVOWhooXVkGR[fKIdPKwh_cSWW]CUoyFRmSAusT]VvERquxaQfsixC]xUespqSaECGkIRcWZIuXME;_GISVNKX:EcOMvLWrI[Ub=v@[s[AhyISlIh\\cGuyEpErimiEYFxIDyYtqEhPYeyvYhXe<Tw=SHeuKMRGYV]UKshx_@pLodG_`qQhbG`cyx?>^o`qcoaCwfKNq]@bJ^bZ@qnOryFsQihwIevOhQqmanyCyiLVbg>run_a^mt@[vaxVAliHm_QsvwkmFf:@b:imfXc\\GbPy]I>yUpy@hoqvy:^Zgvy:FsnwqjykrylxqjwXayE;JdLsnXyIrL[igAiP[GvQxJQGQOy^mch]FboB]GTH_fBib<eTceFjuHiYfFGtRqGduDbeeooHaYVW?b>[cn;wIQf<AyI=yA]IFMiruwHyaGwy:jO=TvqshpOxhOlltMAlCInl<pw<k``V:tY=`TOhPNisEEp]Ivi`itAZyAZah`Y>ymyd?_dniixVuCOtf^xuX`aFugI^R?lsHyRp[gqkm^mYprhpdlvh_wr]_krilPYuxIrtxP_VNIDkW_pUoyGwdReuSZYVxlmy=jAirYiy=`piNce?oQV\\vNpfp`LOcK@c]Fi>FtbpsOqg?Xjj?]pooYGvay`QVjSnsWhnkwYWecow\\[rLwD^iS>kEqyqg]jO`LqPmRAVvHv]eoAURyDLhaOhioPuw?qy>mkBYVD`MFuoSqWSqKhyjPDsfMS@YXupvXmOeym=uuNdXr`PgMLWTXFYuuIKTTOWQrtutrekhpnOdLOPR>EtQ]ly\\QnQXY<pQEYqMyoqtAlNWmuwQPaySDXwFXuqPMBux`mu@ml=dXAmx_]XfTWltW<<YDUREtKH@u]XUZTUpAuIlwDxqR`O=<qFxOmqJ@urFeW^`TRqOHPmqQv?]TTqxATOXEwyHuptpPETeUL?iKFuXihO=PuWASBySDmLIMp;\\kMlrlLSEAOcaXIPMduTXhLkqjiHOrQttQRiqRnXyiPpBYp@uP:aRleJ=]oKISLXV;mNv`vGhNx=vn\\PYHJruvAQTf]o[HTghVu]mjAOT<s@DWX<QFMN<qQhQsm\\v;`PQXvF`mPylA\\qy`NrQyWAVKapR]W]tXLxpO`Qm@PZQLfUSVpxCUVa@mCaNMXk]pMU@TQ]XuTquXSGmVWPY]MUrInmdPrYvpdkaHm@lTCUNPEX:\\mLTsmtvaiSNamrly`xupPOtQXrMTCqvqlMeXoApKwMkg`VQtTPTWVXYNlLYqPYmQ[G\\P`^@fdAOw]?xIgj]ojlA]vYa^GlXyy:b<WwFaiU=RXuIpCBsCbp=rkEwMQUrYt=oD\\Cd@uBc?u>=B]SwS;SjASLMbm_eLqsh?fV@MLlscijK]RR]yOIQydRuuoCdS^PtlDrFtKyQM=TOTiPMMjDdV]Au]ulm=jRuKiPWklvNyoe\\y^qJGivvxj=uLqmLgDwfppLuW_yXS`oTyWCMxJdrSPU?<SLXPcTnk@V^yXpluL@x_QL\\PUbmpj]OlIYbLLl@PxUt=YQitucduydU\\Qofly;<xf=vC\\qgpNBmLKPj@@K[UVK\\Pu@RIYJDmv=mKBaQL@r:=TWEml@YaQTILUt`JxLm>iT;UPUXXbPN@iO>mQkuWqpWK=pIulaQywHuwqwYQMplqYPwQPyAYRYqKeuLdmoiyonTseYm<lnrxpu`rfhSCMK@DSrtjXdLiYtjqq?HOWEsoAobqTQTtDExvtKfhvvpRB@lUdQ:]k@qU><X;]mOeytPRUqsMionTWEhtpXpodjZLJNLTP@QJEVNUY:DP<]shXjFaqy=JZTwy=JZ]tY\\YWmm_yVwUjUuy<@ny=j\\Qw@YtwqtvAOTyY:PqYeL;\\xQUXixQbQmY=YOxJyulAEmsuy:qty=j:=oy@ytHpntyouQdppYpwqdV:euO`yEyStqjqlY?Hry=j?IT`muy?newiZadY^yW?eTyitxuOX]IwxUOxZp_Dpy_wvwYZUwy:NZZxy:NvbYxivabQ]YAyOvZyAZQndpvmhyPGtnuiosIdQbbyW`muy::::fOB:::::::J_;:::::Y<::::::::::::pD>:::::::bl:::::ZI;::::::::::::U?<:::::::NS:::::ja::::::::::::Zg<;:::::::dF:::::rM::::::::::::jP[::::::::O@:::::vC::::::::::::ReJ:::::::ZD=:::::x>::::::::::::fOB:::::::J_;:JKallipIEloTo<mr`<LM\\Oh=kLAnIHLHxKHQquaT_ASxqlvQOs@MOUvAXJpIqrxY:ppJ<TQDqYEKwhwy\\wUToy=JcenNtqLPQUyijpgixy:^nNDwHkE@xmeywyvwY:RX?YLqHlcVFWVQEU>?VfmrNsRHmBAgx=AxmeywyewWjY_lPqnqp^]p\\SXh`Flgg]PQnt@mp>lCA^Gp]Yo^gVmR`xV?vY@fAOiHYeAXbqWrPqmJvtfqaWinA_^jHk_xpgwwv^clpb_i]DGaFN[l@l;w]DwppFk[AoTfuhV^Hx\\sxihfZuwtMW_gqfTIqi?mgqdfo[Dyc]oe[fnvW`kivHhkIvji`peg[ewcugsYFdmqupY_cgo`C<iF<EV:?e@cBPeH_MWHaFHYb\\MiewcAyHqKegMYdkuD?Do?SnsSMeuXIWTit>ADE_DPQD?]GeKSPgcJcRlqBu=xQuH=aeZ_shWYOYFLaFK[irwTJKUUEcFWH]MigMTp[EhWHPurbKGjCs>WxFAVOWUessBUeemHtafkQyYqEA_vPEdi;Y\\gBFQBy;YuCb;IRTmsB[vDgVMYBk[FyKDvyH\\;GvWS\\OegghFkdqYXTqE?SUfOTnCB]YBEaCeQS@AIB_bYsd<IyuwgAkyiwi>isxUR]UGi_yYSuBkY[eeB_wiqh?Ytfmw\\qrl;T@As;gErMW[=CVKshWi?uCRkuV=tpqGumX@GXKSHhIccach?gh]HIqCU]FGgf^aFEQg>KFswfJmd]GbJ_FJYhNkUAKxeCcgkYUWwJ[ypChXEsaGFcqt`mHuCyg?vskTg]r:sr`oFTUHi]Be_DR_UriugQxvUrbur=QFiacduDTwD?uu?=igYvTyUcOu\\sUfUCw]RyKVC?HlQIA?fISDjuRk]u^iyfEtq[UfKy:Ah`=rCuy@yrPmvIkidYr[cS>ygGSf:SRficNSRYweT;YwyU[gpMmRLiUVAWtHnKexUUSwTUQEsgIThikOQOj\\tQYeV?mCAabyp:vy:vo]Y^<yy:v[vhca`yDGqu`tnVsUgmaNdqxqoht^VyVobUFlkndC`k`vap>bZP`K^`IhkaqgNFl?wujStySpwF?oSLehR=tVGEBqiJQXU]EEwISquWGBJSvLCiV?BssF]GUeYR=Ln;TYc@jF`kVMsylxdMx@=yqUo;=XiITjioqXRILkvxmSUs\\Ypf@p[PQt<UFPrsuqqQXJlykUQlhVI\\qT`ukyO:dXIpl_pNgpo?\\nRQwqLmVMuhpNQpWQdkW`NFDk_=lb`ueup]TTymSGtlwer]qqy=J>Tx<yuq`wAlny=j]mvFYvQuwnyxpmoy=J=QyAXRyAlWmuSEw`mvEUKm@OPDq\\aq;@m@UY^<K^XK`]WfUofiunPp=hkEmmUmyOhnoyJ?UQGQuLqR`eu`lUUySjDSieY>TK[uWNHl?mxlmJ]DoGAShMTsllpTXBXoLhRplqX<YUYUKqVkyKCdXwLpCipQpQNaNMaoHtnU`rJ\\uHUplTN>lmSILLhouyxZmrD<LC\\lWuxWpKM@rl@xHXQ\\XUeMuTIMfmWM\\ylEmauKZLLHXRJ`T<@K;AJkYtIUNrmvE<SgeNRYVXdx`mjadQoEy<UVk=TY]nGXSLLQ^QyQumcmqMDxu\\yqHtnemYURThySMToEQhlonDmiYVTdKLmjU]K]PLUpJSynG@XdmR[]jZew[xLyikhxQm\\YeHyb<YUaRkisPElW\\xlHWQmV\\lleDk>A\\sGdQ`gdn`;>JWG:Ex?uejIxYieckiOaxN]wnWsNQHiywvwSm]b`_ES_yoaurIr:QrmxrlhTxTMWYKqXubIn@lT]XQGexnpXK]q[PjSXNLPTc\\OSMov\\rftml`YYApFmNGlsILKtqL]DYf]mV=wlDUEiN\\XQ=aM\\AS`aWktMd@Lf`LqXt;`KOesaXRX@nN]qWIodQmOQMcEkkinCunFqxTTlFUTu@m<eShAsGQodpRYQO]UxlTp<HSTpouiJGtQCxp:\\qUenhho[YQUesParpTrghpfiko<pHltUPpgPJyDo:Lxr\\vPim@ij[UQsio]mmrPvLlVIMO?XYCIjOpXmdl;YQ`iwdhs;DuCeWVytFlyVts`hl\\@WXplmLk@XpTLxRexuYM:xvMMLNaW;QkOlVstXs]RjELs@jlDOWpnA@VgMMyekcqptym?\\wnIyZYt\\\\PUUuuqJLTqZ\\KY\\VHppOXRdxpRDnR]L<mSO=xWuxO<k]Ym:MtrAKbAKHyw=@mkYMKHLNpO]AlRpyfMSNXl_qjY=JH=PG@wdMuYejneOtdWAET;otO^[hqg`FaCAZ:VZ_Gk^>Z:^^L@Z>>le^[T?i@yw\\ahQOiXXjco`IXgjOr@yigI^lPu]V\\=>`=pgTGvR`wCAaNw^iodWqiiQbkqb;@ndwdtv]Bh`IG\\dwkLfofP]Gas\\rp[ul?V^ICmcb^=Br[v;mBlWsxWVkYf=mHxItQawTugFmRq]Bm_ECGgrMbR[U:oXvKTO[XrcVrcFVOhX[rTMDyYcbKClawVyI:Ye>yI:]YOGHpyHxIgjwg;mW_ssBqgPoGo_v@KUM=yh_ftMDYewGisVGDZYsHQHRUEKCTO;hjYfLYvXOS\\]CasmsXwgiwPYkxPvktjitJn@kK`nL@U\\lOEUpV=s<\\KlmsYukYANftYGxq;\\YAaNKEW`Ds^EkOQsCqXRTs@EUELOCppiiKjDx\\dVHlkCdo@AxpEnimoG]o?QVGPX_IsKXVMyNTDlcQL^POkqljANJxrImru`XhXU;qTXYQ<dQuAUP]qqxNGLYuANJes`LO_XLHYjOtpW=ovTM_=q=Do_HMRll^Dtq]UpUq_@xplJ@qy@Yvxmu_xY:PVeFpq>jnim\\cDuiqQS`gcumieoDHiEaIs`?Ss?CqkuQ]s_]ErGUgWyesCPofCYVEWW^GwLMWMeCheHBqeokTuAYRqyvaRuSX[Yd<KRQuHXWwU?Y=IG]esAeRPExT;GPOeYyR[UWsQbGCGBMdC_RSoNN`O\\oZ>wZ?FqhOjEpq[Yfep]P>tBysRyuyAZ<f^yAZ\\QouvsH>ypOtLYgeXkp?c[obLpbmivufd@Gc[iq?fb_XwtgpiqkofkjFgivg\\Hwj@bEXitNpohtNAju`_=Wn@?kMg_wqxe^y`vpii_[`qmPmPiv>>lGY]AO^Lpi_Gf<@apUQiQHPY=yrjirxEmgEoTyrxPTdaLTDmGaRddMRlwMUsk=l;qVeHwPlmK`TodQAasmhkTuwGel\\QqC`NWLKmpnoqR\\Uj<`Q_MXr`QQIPkyX;YPeMuxhj\\DWXXMA@TMawKXvlqR[\\L`AjdDKRDKkalk@SuTr<\\RA\\uGxN`aymyj[yiP>eWieXYeryfDOmxQtGg[nVuEhiE?sOokJA^sPxOXrRVbd``vol`wbTarbP^EpQTwEIVg`KLhK`<PlxY:Lt_YVyqM^lmV<THySS=k=HqtXly=jDtystofhTxdLeQm?qRoDVoYv^<RiHNOYVYlTliNMPTuEtpmPSUtU@sq`U:tW\\yJNlp]]kQaPriThPNdQqgpuGDnw`TIQvYHubEp\\duSYUCaPY\\Vq]tC<PA]OJHvNXJpetahKrpouQkAmNeqTXHlKqQ<exR`V?fuAifhWuaihc_nrfb_FcD>]jY[Z_f;`mJp[A`y]NiQVbb?rXpbhgfcYwqYo<ptvga\\Y]ifZbQaIojvx\\_XesOaDQgMAuUQge_[PWqhnlm?]DA\\FIuZoh:HjtHhDpskys<`yYWikQ\\=irTofRPlIi[GakkIsXVnFnaFG`npiv_[Xo`Jpw<FduynG@]r^[^xwhfeqi]IxcYg[b_g?ib[@sdqaMq_A_thOoTppQHvgW_A_qOyo\\Pxf`wZHihi^QN\\jpknNdHAhfHc:yZZx^TaqeQbjqZwXg\\ymJ>yIpyKfutV[C`puYyrgtohcgqhlIljh^>AgM`ba@ff^fcG]lOnlFnsftricjIxnfmM^rTohoXnSOeRWwBG^X@tCW\\C_^xWe]HiG`gKxb<ho?Pu;@jHAe^AfupwPVa^@xPqjbI]ffu;H]R>qQxy:NkbpjAHvPhqLhrLn`uHkLFcZv\\IhqOVs?NfuPx;>_riapymDGsrikZYqia\\ECUeUtcC[ewKSfbQrZyWVstYOGhQfcqssYG;gdIeGrMXewgCiw\\csy;R<kyXiThsGgawgiroOW^QxReshOD=mhDWXsgFOARRUrx[V<GHFutwQRAoFxYUJ=uaawYCImyvMYiNyR=KyYgSEkU@CRyGgQYriUhQadcsIGyWi[yuQFwQsqCBtoVQWHeiifmhTGesqsa`NsPL==k:IJ\\dT[tuEdjHhnk@qhqnrYL:mqhtt@TQmqPGdVaqk_\\OTQwlHWpyxjElpUod=XvLpsEPnhr>TM_`obQSUmjj<Rjpouo]ppmRFtUFl`?ufibFyny>yoIavh_\\HZYHpypy>VcyA:iTC=WmUGXaDK[yWGFWUi>WyTQV`op^yLQpR[]ogUlmASI]PdUlvLn@ENNaY:=JOlKwDMBMx;urVXvrPni=qRmvf`XyTKXeuYUuTyRxdsx<VUeuclmKiVBMVCQr^uPy`nKtPStmqlOkAWrUX:ImGmopdx`LWFyY:<WVmtquKvIk]@yMPrtpiSQeAnt^w\\M_acqv]^e^HhfPhl^mjaZkNj@N`Nvx^vt=fovG`Nqgvw`uWhwyk]hmU?eOytKotgfg>FdCHd\\G`?O\\n@kKQ\\yX_YH`WVcs_o[he=PZiEeoe;AWS=YIySO_HwQHhGc]QYO_FLSg[WU@CEWUFcEeEMROqS?kf;AcWaH];YoaYruw<ARUgWLWxI_XSyI:ht`Mu@yKkUkGAH;RpQXrkwUWIYysWESkahimgAsTXibOKIZcv@WVp]xf;F:_D:sBOUHrYE>kDX_hj?yjGTnCwnUEIedG_wgQCFOFT?ihig^mR?irUqRPAFhKxvkskcSQiYALNI`KbiVBpl?<Kr<nVIsAmYwdTnduiPrtqSIxveHWJhqGiKfEKkuwddSjtkUhkD=ugHLJHR^yvTPVxlJrukO=xwixKit[]quUJg]mlpUWLrQPKtetiMMyMorHlqIPEywNXqZAVkDqapNkyU;ttJAxxXl[eW=<Tthmh<ML<QPuovDjLpN?aSA]qg=JwHuxHm`YkxFft`xXiZKi`B^goo^LH[_AdgisEanDvrDVttffZodZ>jLi\\AVgZgmaP]PNaagjiwgi_wgXnmq_nGyLW]b`rmqfa>iPibAv^YHlNIxXpqspoifrXwZka^j`ecq`<NutyuQ?tf``eXkSqfkfpePeEYaSHeVVqBa]IOria_p^]MHlWocExgvvYeBIQTdqVT_RpcslUBHsSfev=OSiCXuiw]mf:shkis=?I=oSd?OVmXpxT=MMMLl?XNVxY:Xt>yQvetulYKduIlYwyMyMZyMexm[qMWhqvPuxeoqIVb\\pEdKYUtuqLB`unTPF]lBlTSQydTq>psN=V<XPHYwmdRQhy<mra\\y\\LqY`YtyQx]jEyY:VnxI\\Ww[xiiYvy:RCyAYE??u\\@Xlvi<Y_[xYYxbyI:;IKyodxKreRnyqs]xy=JvAkQxY:Pkg\\qKMkhXy?HlCtI:?:\\ty=J<Yo[xiYxbyEjMvYkidqXkkbbYIhmD@yFvO>BxjDXNxE<dIC:nubfrQJ^Mvy=J<;:va[i\\Jyy:vvKyy:>x\\vexQ_pHx@?_upwPnba^y\\::@oy?[hxjyAZxvkyAZ;P\\yAZkugOVFEtqDuRxmjQ;XH<YKjA]y\\ZyC<i^DhovHdDp_uU^Mvy;B<JY:BOyejQ;Y@;ApPkmrbXQhmL@yNvQ>:Nk]<pAD:;jO;FfYX[bWjR^pxWnxqe_vy:JEAwSTUbMPHaOhuJfHS\\AWAXTI=reDTR`xtQkmeqQhnidYtauy=jbAycqngAot<MYQltTe:jQyY:LTDEOx`noqpy=JjpwixY:`NNtTGiq>tRvaqyw]Qvipi[LyqnalQibI^ywgbyAZ[?syEwsTOWHYssy;rQmuy;BRUyDyI:MTMcEVyI:IHqydwqr]yq\\PvfpM]UyW@WGpP]AW@IpH`TutlsxRe=RvlkIdvEum]EYPENkmpFHt_mnk\\p]QTQpqAQX]pqAQXZlo`hRB]Na]LfuU;YSYXf]paAQxZp_ZfbW>Z_P_CFw@giIdKBJ<N?imb@ux`lslxydlSlxyNZ\\aZJ?`A^goov:PkrvrD_euy]Dakuy=;Fhqv?mskGs_Oex]taAUx]taAMbXkCDpk]KFHTkHhNFqpyaOH]pyA=RVCbTYb:YVEuUDjSJ;<XDxjy=jh`lF\\KLyvRmYNyvRmiEFkkXhVpinPoZ`hxaha?uxada?UPJZ=RwDW<<oRdRhhIS>;nDXJNMkpLkm\\GI=EBkKscmsAUwHsbRafIIpKKJG^?ga:Wn\\wy:VlEwm]GyK[JC>?S[OB?;b;;B?KBnsRuuRFQtaAmbJbV<vwTP[c^Zg_]oinIIpvumr<PxMAQIAM]PfbI`EwM@?<?rr_X]QF^ge]MsVSamZ<NV]Dn[TNKTjmRcYXfvSV[@HtF@dNn[<`kuy=S>;NBpjJPnXpuNIQpsFb:\\JdMqH@u_LUw@oII`K[J[tQ[<>_gyunFqpmFj:<Q?XjZ\\nB@N^mKcYXfuia[?FrNo_jG`TPeFWyYB]BZLUcXPfuia[?fr\\XlxjKKJg_NFmpyAm:=RVKEcY@Y@Qr\\EdCuu]T><^TG_m^wysFb:@w^xsk`ybJbn\\D`cuM@K:;vFfZ;QyxO^vXw?GwewYwt_ycxwcHciKmskIBdUiQiubyulYWyoEQyQn]ynqTFQQ`@VvISeiWyAVWyUyEsb^rXppYU=exy;Bw_f\\Oyc[G`yw=YbxEtsuyZcweuYCeSnsXTGISgvGkwg]SLiCa_tPgdRIgT;RJ_rEiYKme]MvrurGUd:qtI[BTKvS_gfWFPWUuYu<GTv;D>YVqGG<WhuIIbUwIkIP]xY[Xj=yQsy:cxIki\\WXNiuAQTAYgwSsQainYxy@JlxY:HXdyQkHvygafvy:>xPvcxiaVwDSCTyGt;EvYgy?bTyj\\xKrAUKyY:@t;EvY]y>\\ty@YDpTJDuWxOp]oYYxLySyGsyAZAAoxirApytGeyErSsasiXkwekIPZi_y>^ty>YySrAUKyI:At;EvY[y>[ty;brKCg?FlUyY@py=JIUsy\\y?Xly=JIHtwUkIFwawy:>jlxikQw\\yq[=:ZyAZ?hkQfyFn]Ovy:>rGWbyE\\?gnQrBegyEx[:jAmXfxqmQDj]iT?yY:PB::AgygBGyDw[CXity@jTxJyEl?]NPtreiYEx;BZjY@uj:ZXnoenyP^@:=:xRv]?rQL:f_ZNP::\\D:;A\\E::x=rJ:JTkyNfyAZX<bAA?Z:<?A:yGva:vYJ@Z:=DDj?uYw`?ZI<:XvO;JExY:<Frb:j:ZE<:>JrID@:n]h<:@:vK:Y=RE::JN;BrJV;rQ:y;VBxAZn\\ySR:JIHD:;>DH::ryZFR?>RJK;XB:vK:j]iD::jK;Z;:Q>:BZjYFF:bAW?:F:r]::f?Zy<Zb<Jj[r<jq:x=rJ:JTky::tkKsEmYtBZJk;::yA^;g:Z\\<::xB:rkQ?:eZ:=HDZUwy:F:r\\::Zy::n]h<jeR:jA;vEZg:vI:>O:<H>Q::vAj[:Zn\\y;:n]]lI:;>DH::ryZF:;@NN::jAsi:vre<::VN:q<j?;::yKk:ZXnO:X?=:xBZi;f?Zy;Zb<Jj[r<ji:x=rJ:JTkyNF:bAA?Z:<?A:y?jy;S:<Fbb::ZI<:XvO;::HD:F:r\\::;>x][;:wbe:Z;:Y>:Zg:::K?ZZ=k?::y;VBxAZn\\ySR:JIHDY;>Jbr::Zy=lZP:JK;::Y>:vre<ZOJZ;A?:@:VKZi:<BvA:ZXnO:h?ZI<:jP:xE:\\D:;A\\E:Y=rIZ=;:c?y=:jKsAZ:<?A::vYJ@Z:=DD::r]vI:XvO;::HDZQk:ZE<v=J:[y::n]h<:@:vK:y<RE::JN;BrJV;:jY:A<:LExa\\;:wrb:>Jbr:ri:xIB=JZ;??r\\raqYWavyxrdhuO@mpDlYysBtRNdKNHT?awKykS@tMPlgiyTYxy=JrAUKSbvurI;rY?hkIfyGv=Ory<XI@ty=J\\EolEpTtYLPYUyvxIjtxpxOnshcuortnf]`[mperYj?WfGfjnAd?Ige?iTvbTPZ:hfMYZJHaBQnpxnjHmyIU:::6:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlK2dGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiUhKlJGKi0lKUNISUxEUkVORzYi
Figura 21.3 As 20 curvas verdes s\303\243o todas antiderivadas de 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Cada uma \303\251 a antiderivada azul verticalmente transladada.
<Text-field style="Heading 1" layout="Heading 1" spaceabove="7"><Font encoding="UTF-8">As Regras de Antideriva\303\247\303\243o </Font></Text-field> Cada Regra de Deriva\303\247\303\243o listada na Tabela 11.1, no Cap\303\255tulo 11, tem uma Regra de Antideriva\303\247\303\243o correspondente. Ambos os conjuntos de regras s\303\243o dados na Tabela 21.1. Nome Regra de Deriva\303\247\303\243o Regra de Antideriva\303\247\303\243o Restri\303\247\303\265es Constante LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYsNiVRImRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiw2JVEjZHhGJ0Y1RjgvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRkMvJSliZXZlbGxlZEdRJmZhbHNlRidGKy9GOVEnbm9ybWFsRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlNGNS1JI21uR0YkNiRRIjBGJ0Y5Rjk= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEmJmludDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdRJXRydWVGJy8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjkvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRC1JI21uR0YkNiRRIjBGJ0YvRi8= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSI9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiw2JVEiQ0YnRi9GMkY5 Identidade 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEmJmludDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdRJXRydWVGJy8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjkvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRC1JI21uR0YkNiRRIjFGJ0YvRi8= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSI9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiw2JVEieEYnRi9GMi1GNjYtUScmcGx1cztGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjIyMjIyMmVtRicvRk5GVi1GLDYlUSJDRidGL0YyRjk= Pot\303\252ncia LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiZGKy1JJW1zdXBHRiQ2JS1GLDYlUSNkeEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLDYlUSJyRidGOkY9LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrL0Y+USdub3JtYWxGJy1GIzYlRjctSSNtb0dGJDYtUTEmSW52aXNpYmxlVGltZXM7RidGRi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGUC8lKXN0cmV0Y2h5R0ZQLyUqc3ltbWV0cmljR0ZQLyUobGFyZ2VvcEdGUC8lLm1vdmFibGVsaW1pdHNHRlAvJSdhY2NlbnRHRlAvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZpbkZGLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zhby8lKWJldmVsbGVkR0ZQLUZLNi1RIj1GJ0ZGRk5GUUZTRlVGV0ZZRmVuL0ZoblEsMC4yNzc3Nzc4ZW1GJy9GW29Gam9GQEZKLUY1NiUtRiw2JVEieEYnRjpGPS1GIzYmRkAtRks2LVEoJm1pbnVzO0YnRkZGTkZRRlNGVUZXRllGZW5GaW9GW3AtSSNtbkdGJDYkRl5vRkZGRkZDRitGRg== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEmJmludDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdRJXRydWVGJy8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjkvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRC1JJW1zdXBHRiQ2JS1JI21pR0YkNiVRInhGJy8lJ2l0YWxpY0dGOS9GMFEnaXRhbGljRictRks2JVEickYnRk5GUC8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictRks2I1EhRidGLw== 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSUmbmU7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlMtSSNtbkdGJDYkUSsmdW1pbnVzMDsxRidGOUY5 Pot\303\252ncia Generalizada LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYsNiVRImRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiw2JVEjZHhGJ0Y1RjgvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRkMvJSliZXZlbGxlZEdRJmZhbHNlRidGKy9GOVEnbm9ybWFsRic= 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYwLUkjbW9HRiQ2LVEmJmludDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdRJXRydWVGJy8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjkvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRC1JJW1zdXBHRiQ2JS1JI21pR0YkNiVRImdGJy8lJ2l0YWxpY0dGOS9GMFEnaXRhbGljRictRks2JVEickYnRk5GUC8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictRks2I1EhRictSShtZmVuY2VkR0YkNiQtRiM2JC1GSzYlUSJ4RidGTkZQRi9GL0ZKLUYsNi1RIidGJ0YvRjJGNS9GOEY0RjovRj1GNEY+RkAvRkNRLDAuMTExMTExMWVtRidGRUZlbi1GLDYtUTEmSW52aXNpYmxlVGltZXM7RidGL0YyRjVGYG9GOkZhb0Y+RkBGQkZFLUZLNiVRI2R4RidGTkZQLUYsNi1RIj1GJ0YvRjJGNUZgb0Y6RmFvRj5GQC9GQ1EsMC4yNzc3Nzc4ZW1GJy9GRkZecC1JJm1mcmFjR0YkNigtRiM2KEZYLUZINiVGSi1GIzYmRlItRiw2LVEnJnBsdXM7RidGL0YyRjVGYG9GOkZhb0Y+RkAvRkNRLDAuMjIyMjIyMmVtRicvRkZGXXEtSSNtbkdGJDYkUSIxRidGL0YvRlVGWEZlbkZYRi9GZ3AvJS5saW5ldGhpY2tuZXNzR0ZicS8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZncS8lKWJldmVsbGVkR0Y0RmlwLUZLNiVRIkNGJ0ZORlBGLw== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSUmbmU7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlMtSSNtbkdGJDYkUSsmdW1pbnVzMDsxRidGOUY5 Multiplica\303\247\303\243o por Constante 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEmJmludDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdRJXRydWVGJy8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjkvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRC1JI21pR0YkNiVRImtGJy8lJ2l0YWxpY0dGOS9GMFEnaXRhbGljRidGLw== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkY+RitGPg== 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn Soma/Diferen\303\247a 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYuLUkjbW9HRiQ2LVEmJmludDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdRJXRydWVGJy8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjkvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRC1JKG1mZW5jZWRHRiQ2JC1GIzYoLUkjbWlHRiQ2I1EhRictRiM2Ji1GTTYlUSJmRicvJSdpdGFsaWNHRjkvRjBRJ2l0YWxpY0YnLUYsNi1RMCZBcHBseUZ1bmN0aW9uO0YnRi9GMkY1L0Y4RjRGOi9GPUY0Rj5GQEZCRkUtRkg2JC1GIzYkLUZNNiVRInhGJ0ZVRldGL0YvRi8tRiw2LVElJnBtO0YnRi9GMkY1RmZuRjpGZ25GPkZAL0ZDUSwwLjIyMjIyMjJlbUYnL0ZGRmNvLUYjNiYtRk02JVEiZ0YnRlVGV0ZZRmhuRi9GTEYvRi8tRk02JVEjZHhGJ0ZVRlctRiw2LVEiPUYnRi9GMkY1RmZuRjpGZ25GPkZAL0ZDUSwwLjI3Nzc3NzhlbUYnL0ZGRmFwRitGUEZqb0Zfb0YrRmVvRmpvRi8= Seno 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbW9HRiQ2LVEmJmludDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdRJXRydWVGJy8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjkvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRC1GIzYmLUkjbWlHRiQ2JVEkc2luRicvJSdpdGFsaWNHRjRGLy1GLDYtUTAmQXBwbHlGdW5jdGlvbjtGJ0YvRjJGNS9GOEY0RjovRj1GNEY+RkBGQkZFLUkobWZlbmNlZEdGJDYkLUYjNiQtRko2JVEieEYnL0ZORjkvRjBRJ2l0YWxpY0YnRi9GL0YvLUZKNiVRI2R4RidGZm5GZ24tRiw2LVEiPUYnRi9GMkY1RlJGOkZTRj5GQC9GQ1EsMC4yNzc3Nzc4ZW1GJy9GRkZgby1GLDYtUSgmbWludXM7RidGL0YyRjVGUkY6RlNGPkZAL0ZDUSwwLjIyMjIyMjJlbUYnL0ZGRmZvLUYjNiYtRko2JVEkY29zRidGTUYvRk9GVEYvLUYsNi1RJyZwbHVzO0YnRi9GMkY1RlJGOkZTRj5GQEZlb0Znby1GSjYlUSJDRidGZm5GZ25GLw== Cosseno 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 Tabela 21.1 Regras de Deriva\303\247\303\243o da Tabela 11.1 e as Regras de Antideriva\303\247\303\243o correspondentes
A restri\303\247\303\243o que 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 para Regras de Pot\303\252ncia e Pot\303\252ncia Generalizada \303\251 necess\303\241ria porque n\303\243o sabemos (ainda) nenhuma fun\303\247\303\243o cuja derivada \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KEYrLUklbXN1cEdGJDYlLUYsNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JkYrLUYjNiUtSSNtb0dGJDYtUSomdW1pbnVzMDtGJy9GO1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkkvJSlzdHJldGNoeUdGSS8lKnN5bW1ldHJpY0dGSS8lKGxhcmdlb3BHRkkvJS5tb3ZhYmxlbGltaXRzR0ZJLyUnYWNjZW50R0ZJLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGWC1JI21uR0YkNiRRIjFGJ0ZFRkVGK0ZFLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy1GQjYtUSI9RidGRUZHRkpGTEZORlBGUkZUL0ZXUSwwLjI3Nzc3NzhlbUYnL0ZaRmBvLUkmbWZyYWNHRiQ2KC1GIzYkRmVuRkUtRiM2JEY0RkUvJS5saW5ldGhpY2tuZXNzR0Zobi8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZdcC8lKWJldmVsbGVkR0ZJRitGRUYrRkU=. O mais prov\303\241vel candidato \303\251 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, mas sabemos que 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. Se uma vez se esquecer desta restri\303\247\303\243o e tentar aplicar a Regra da Pot\303\252ncia Generalizada com 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, divis\303\243o por 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 ir\303\241 lembr\303\241-lo de que isto n\303\243o \303\251 poss\303\255vel. As regras de antideriva\303\247\303\243o obtidas das regras do quociente, produto, e da cadeia n\303\243o s\303\243o de interesse neste momento. Os exemplos restantes neste cap\303\255tulo demonstram a aplica\303\247\303\243o das regras listadas na Tabela 21.1.
<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Exemplo 21.2</Text-field> Para a integral indefinida considerada no Exemplo 21.1, determine a fam\303\255lia de todas as antiderivadas usando as Regras de Antideriva\303\247\303\243o. Apesar da Figura 21.3 mostrar 20 membros da fam\303\255lia, aqui examinaremos os c\303\241lculos pelos quais toda a familia pode ser determinada. Os c\303\241lculos est\303\243o resumidos na Tabela 21.2. 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 JSFH Problema Original 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn Regra da Diferen\303\247a LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYuLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUkjbW5HRiQ2JFEiM0YnRi8tRiw2LVExJkludmlzaWJsZVRpbWVzO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEmMC4wZW1GJy9GRUZOLUYsNi1RJiZpbnQ7RidGL0YyRjUvRjhRJXRydWVGJ0Y5L0Y8RlRGPUY/Rk1GTy1JJW1zdXBHRiQ2JS1JI21pR0YkNiVRInhGJy8lJ2l0YWxpY0dGVC9GMFEnaXRhbGljRictRkc2JFEiMkYnRi8vJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUZaNiVRI2R4RidGZ25GaW4tRiw2LVEoJm1pbnVzO0YnRi9GMkY1RjdGOUY7Rj1GP0ZBRkRGW29GSkZQLUZHNiRRIjFGJ0YvRi8= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn Regra de Multiplica\303\247\303\243o por Constante(duas vezes) 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 Regras de Pot\303\252ncia e Identidade 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 Simplifica\303\247\303\243o Alg\303\251brica 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 Reescrever a Constante como C Tabela 21.2 Anota\303\247\303\265es de c\303\241lculos para o Exemplo 21.1
Note que as constantes LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjFGJy9GOVEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YrRj8= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjJGJy9GOVEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YrRj8= poderiam ser omitidas quando as Regras de Pot\303\252ncia e Identidade foram aplicadas, desde que a constante LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= seja inclu\303\255da no final.
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></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 := `$myvariable`. Adding algorithmic variables to the question is optional. In the following execution group, add an algorithmic variable. To include more variables, add more execution groups. If your assignment contains more than one algorithmic variable, ensure the variable names are unique. with(RandomTools): randomize(): nn := Generate(integer(range=1..4)); fn := sort(Generate(polynom(integer(range=-20..20),x,degree=nn)),x); Fn := Int(fn,x); IiIj LCgqJEkieEc2IiIiIyEiJEYkIiM6ISM5IiIi LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsKCokSSJ4R0YnIiIjISIkRisiIzohIzkiIiJGKw== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 21.1</Font></Text-field> The question can contain text, 2-D Math, plots, images, and algorithmic variables. To insert a plot in the question, use the Plot Component. In the following text region, enter the full contents of the question. Avalie `$Fn` 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 `$ANSWER`. Enter Maple code in 1-D Math that evaluates to the correct answer. Add additional execution groups as needed. value(Fn)+C; LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field> To evaluate a student's response, you must evalute to a Boolean value (true or false). The variable `$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(`$ANSWER`-`$RESPONSE`=0);
<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. Don't forget the constant at the end. Replace this text with hint 2. Replace this text with hint 3.
with(StringTools): with(DocumentTools): response := GetProperty(`TextArea0`, `value`); if response = `` then response := "</mtext><mtext>&lt;NO RESPONSE&gt;</mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>Don't&MediumSpace;forget&MediumSpace;the&MediumSpace;constant&MediumSpace;at&MediumSpace;the&MediumSpace;end.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field> A question can display feedback when a student provides an incorrect response. The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to `$RESPONSE` (the student response) and `$ANSWER` (the correct answer). Adding feedback to the question is optional. In the following text region, enter feedback to an incorrect response. Replace this text with feedback.
with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea0`, `value`); ANSWER := value(Fn)+C; if evalb(ANSWER-eval(parse(StudentResponse))=0) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!&NewLine;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer:&nbsp;</mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="&lt;NO RESPONSE&gt;"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect.&nbsp;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer:&nbsp;</mtext><mtext>", StudentResponse, "</mtext><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer:&nbsp;</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'>&minus;</mo><mrow><msup><mi>x</mi><mn>3</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mrow><mfrac><mn>15</mn><mn>2</mn></mfrac><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><mrow><msup><mi>x</mi><mn>2</mn></msup></mrow></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mrow><mn>14</mn><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><mi>x</mi></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mi>C</mi></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'>&minus;</mo><mrow><msup><mi>x</mi><mn>3</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mrow><mfrac><mn>15</mn><mn>2</mn></mfrac><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><mrow><msup><mi>x</mi><mn>2</mn></msup></mrow></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mrow><mn>14</mn><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><mi>x</mi></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mi>C</mi></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 21.3</Text-field> A Tabela 21.3 resume os c\303\241lculos pelos quais a fam\303\255lia completa de antiderivadas determinada por 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn \303\251 obtida. As Regras de Antideriva\303\247\303\243o apropriadas s\303\243o identificadas \303\240 direita da Tabela 21.3. 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn JSFH Problema Original 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn Regras da Soma e Multiplica\303\247\303\243o por Constante LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUkjbW5HRiQ2JFEiMkYnRi9GLw== 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 Regras de Pot\303\252ncia e do Cosseno LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUYsNi1RKCZtaW51cztGJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjIyMjIyMmVtRicvRkVGSi1JJm1mcmFjR0YkNigtSSNtbkdGJDYkUSIyRidGLy1GUDYkUSIzRidGLy8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGZW4vJSliZXZlbGxlZEdGNC1JI21pR0YkNiNRIUYnRi8= 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2I1EhRictSSVtc3VwR0YkNiUtRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYnLUkjbW5HRiQ2JFEiM0YnL0Y5USdub3JtYWxGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0ZBLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlgtRkQ2LVEiL0YnRkFGR0ZKL0ZNRjdGTkZQRlJGVC9GV1EsMC4xNjY2NjY3ZW1GJy9GWkZqbi1GPjYkUSIyRidGQUZBLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy1GRDYtUSgmbWludXM7RidGQUZHRkpGTEZORlBGUkZUL0ZXUSwwLjIyMjIyMjJlbUYnL0ZaRmZvRj1GQy1GIzYmLUYsNiVRJGNvc0YnL0Y2RklGQS1GRDYtUTAmQXBwbHlGdW5jdGlvbjtGJ0ZBRkdGSkZMRk5GUEZSRlRGVkZZLUkobWZlbmNlZEdGJDYkLUYjNiRGMkZBRkFGQS1GRDYtUScmcGx1cztGJ0ZBRkdGSkZMRk5GUEZSRlRGZW9GZ28tRiw2JVEiQ0YnRjVGOEZB Simplifica\303\247\303\243o Alg\303\251brica Tabela 21.3 Exemplo 21.3: Aplica\303\247\303\243o das Regras de Antideriva\303\247\303\243o para 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
Para confirmar este resultado simplesmente compute a derivada desta resposta, inserindo 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 LCoqJiMiIiMiIiQiIiIpSSJ4RzYiRiYhIiJGKyomRiRGJylGKSNGJkYlRidGJyomRiZGJy1JJGNvc0c2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGKjYjRilGJ0YrSSJDR0YqRic= Maple d\303\241 a derivada como 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 LCgqJiIiIyIiIilJInhHNiIiIiUhIiJGJSokKUYnI0YlRiRGJUYlKiYiIiRGJS1JJHNpbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGKDYjRidGJUYl Como a derivada de nossa resposta \303\251 a fun\303\247\303\243o original, a antiderivada est\303\241 correta! Escrevemos isto como 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn = 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 Note que se a constante LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= for omitida, teremos uma antiderivada. O mesmo seria verdade se um valor espec\303\255fico fosse designado para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=. Quando dizemos a antiderivada, queremos dizer a fam\303\255lia de todas antiderivadas. Somente quando a constante for considerada entre todos os valores reais encontramos a antiderivada da fun\303\247\303\243o.
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></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 := `$myvariable`. Adding algorithmic variables to the question is optional. In the following execution group, add an algorithmic variable. To include more variables, add more execution groups. If your assignment contains more than one algorithmic variable, ensure the variable names are unique. with(RandomTools): randomize(): nn1 := Generate(integer(range=-5..5)): nn2 := Generate(integer(range=-15..15)): nn3 := Generate(integer(range=-5..5)): nn4 := Generate(integer(range=-15..15)): while (nn4=nn2) do nn4 := Generate(integer(range=-5..5)) od: nn5 := Generate(rational(range=0..1,denominator=20)): ff := nn1*Generate(choose([sin(x),cos(x),-sin(x),-cos(x)])): fn2 := nn2*x^nn3 + nn4*x^nn5 + ff: Fn2 := Int(fn2,x); LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsJiokSSJ4R0YnISIjIiIiLUkkY29zR0YkNiNGKyEiIkYr JSFH
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 21.2</Font></Text-field> The question can contain text, 2-D Math, plots, images, and algorithmic variables. To insert a plot in the question, use the Plot Component. In the following text region, enter the full contents of the question. Avalie `$Fn2` JSFH
<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 `$ANSWER`. Enter Maple code in 1-D Math that evaluates to the correct answer. Add additional execution groups as needed. value(Fn2)+C;
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field> To evaluate a student's response, you must evalute to a Boolean value (true or false). The variable `$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(`$ANSWER`-`$RESPONSE`=0);
<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. Use antiderivative rules, if necessary. Don't forget the constant at the end. Replace this text with hint 3.
with(StringTools): with(DocumentTools): response := GetProperty(`TextArea1`, `value`); if response = `` then response := "</mtext><mtext>&lt;NO RESPONSE&gt;</mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>Use&MediumSpace;antiderivative&MediumSpace;rules,&MediumSpace;if&MediumSpace;necessary.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet); with(StringTools): with(DocumentTools): response := GetProperty(`TextArea1`, `value`); if response = `` then response := "</mtext><mtext>&lt;NO RESPONSE&gt;</mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>Don't&MediumSpace;forget&MediumSpace;the&MediumSpace;constant&MediumSpace;at&MediumSpace;the&MediumSpace;end.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$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> 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. In the following text region, enter feedback to an incorrect response. Replace this text with feedback.
with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea1`, `value`); ANSWER := value(Fn2)+C; if evalb(ANSWER-eval(parse(StudentResponse))=0) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!&NewLine;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer:&nbsp;</mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="&lt;NO RESPONSE&gt;"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect.&nbsp;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer:&nbsp;</mtext><mtext>", StudentResponse, "</mtext><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer:&nbsp;</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'>&minus;</mo><mfrac><mn>1</mn><mrow><mi>x</mi></mrow></mfrac><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mrow><mi mathvariant='normal'>sin</mi><mo lspace='0.0em' rspace='0.0em'>&ApplyFunction;</mo><mfenced open='(' close=')' separators=','><mrow><mi>x</mi></mrow></mfenced></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mi>C</mi></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'>&minus;</mo><mfrac><mn>1</mn><mrow><mi>x</mi></mrow></mfrac><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mrow><mi mathvariant='normal'>sin</mi><mo lspace='0.0em' rspace='0.0em'>&ApplyFunction;</mo><mfenced open='(' close=')' separators=','><mrow><mi>x</mi></mrow></mfenced></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mi>C</mi></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 21.4</Text-field> ATabela 21.4 resume os c\303\241lculos pelos quais a fam\303\255lia completa de antiderivadas determinada por 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn \303\251 obtida. Primeiro, note que dt indica que t \303\251 a vari\303\241vel independente neste problema. Antes que as Regras de Antideriva\303\247\303\243o possam ser aplicadas a este problema, \303\251 necess\303\241rio expandir e simplificar o integrando. Os passos para encontrar todas as antiderivadas do integrando s\303\243o encontrados na Tabela 21.4. 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn Problema Original LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUYsNi1RJiZpbnQ7RidGL0YyRjUvRjhRJXRydWVGJ0Y5L0Y8RkpGPUY/L0ZCUSYwLjBlbUYnL0ZFRk0tSSZtZnJhY0dGJDYoLUYjNistSSNtaUdGJDYjUSFGJy1JJW1zdXBHRiQ2JS1GVTYlUSJ0RicvJSdpdGFsaWNHRkovRjBRJ2l0YWxpY0YnLUkjbW5HRiQ2JFEiMkYnRi8vJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUYsNi1RKCZtaW51cztGJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjIyMjIyMmVtRicvRkVGZ29GXG8tRiw2LVExJkludmlzaWJsZVRpbWVzO0YnRi9GMkY1RjdGOUY7Rj1GP0ZMRk5GZW4tRiw2LVEnJnBsdXM7RidGL0YyRjVGN0Y5RjtGPUY/RmZvRmhvLUZdbzYkUSIxRidGL0YvLUkmbXNxcnRHRiQ2I0Zlbi8lLmxpbmV0aGlja25lc3NHRmFwLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmlwLyUpYmV2ZWxsZWRHRjRGVEYv LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn Expans\303\243o Alg\303\251brica LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUYsNi1RJiZpbnQ7RidGL0YyRjUvRjhRJXRydWVGJ0Y5L0Y8RkpGPUY/L0ZCUSYwLjBlbUYnL0ZFRk0tSShtZmVuY2VkR0YkNiQtRiM2LC1JI21pR0YkNiNRIUYnLUklbXN1cEdGJDYlLUZVNiVRInRGJy8lJ2l0YWxpY0dGSi9GMFEnaXRhbGljRictRiM2Jy1JI21uR0YkNiRRIjNGJ0YvLUYsNi1RMSZJbnZpc2libGVUaW1lcztGJ0YvRjJGNUY3RjlGO0Y9Rj9GTEZOLUYsNi1RIi9GJ0YvRjJGNUZJRjlGO0Y9Rj8vRkJRLDAuMTY2NjY2N2VtRicvRkVGaW8tRl9vNiRRIjJGJ0YvRi8vJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnLUYsNi1RKCZtaW51cztGJ0YvRjJGNUZJRjlGO0Y9Rj9GaG9Gam9GW3BGYm8tRlk2JUZlbi1GIzYnLUZfbzYkUSIxRidGL0Zib0Zlb0ZbcEYvRl5wLUYsNi1RJyZwbHVzO0YnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yMjIyMjIyZW1GJy9GRUZfcS1GWTYlRmVuLUYjNihGYXBGaHBGYm9GZW9GW3BGL0ZecEZURi9GL0ZURi8= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn Manipula\303\247\303\265es Alg\303\251bricas Adicionais 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 Regras de Soma, Diferen\303\247a, Multiplica\303\247\303\243o por Constante, e Pot\303\252ncia LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRIjJGJ0YvLUZKNiRRIjVGJ0YvLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZVLyUpYmV2ZWxsZWRHRjQtSSNtaUdGJDYjUSFGJ0Yv 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2I1EhRictSSVtc3VwR0YkNiUtRiw2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYnLUkjbW5HRiQ2JFEiM0YnL0Y5USdub3JtYWxGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0ZBLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZJLyUpc3RyZXRjaHlHRkkvJSpzeW1tZXRyaWNHRkkvJShsYXJnZW9wR0ZJLyUubW92YWJsZWxpbWl0c0dGSS8lJ2FjY2VudEdGSS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlgtRkQ2LVEiL0YnRkFGR0ZKL0ZNRjdGTkZQRlJGVC9GV1EsMC4xNjY2NjY3ZW1GJy9GWkZqbi1GPjYkUSIyRidGQUZBLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy1GRDYtUScmcGx1cztGJ0ZBRkdGSkZMRk5GUEZSRlQvRldRLDAuMjIyMjIyMmVtRicvRlpGZm9GXG9GQy1JJm1zcXJ0R0YkNiNGMkZiby1GLDYlUSJDRidGNUY4RkE= Simplifica\303\247\303\243o Alg\303\251brica Final Tabela 21.4 Exemplo 21.4: Aplica\303\247\303\243o das Regras de Antideriva\303\247\303\243o a 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
Para confirmar este resultado, entre com a antiderivada como: 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 LCoqJiMiIiMiIiYiIiIpSSJ0RzYiI0YmRiVGJ0YnKiYjIiIlIiIkRicpRikjRi9GJUYnISIiKiZGJUYnKUYpI0YnRiVGJ0YnSSJDR0YqRic= E ent\303\243o, compute a derivada em rela\303\247\303\243o a t e simplifique para obter: 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 LywoKiQpSSJ0RzYiIyIiJCIiIyIiIkYrKiZGKkYrKUYmI0YrRipGKyEiIiokRi1GL0YrKiYpLCZGJkYrRitGL0YqRitGLUYv Resumindo, escrevemos ent\303\243o: 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRIjJGJ0YvLUZKNiRRIjVGJ0YvLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZVLyUpYmV2ZWxsZWRHRjQtSSNtaUdGJDYjUSFGJ0Yv 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
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></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(): nn5 := Generate(integer(range=1..5)): nn6 := Generate(choose([2,3,4,5,10,15,20])): nn7 := Generate(rational(range=0..1,denominator=nn6)): xn := x^nn7; ff1 := sort(Generate(polynom(integer(range=0..20),x,degree=nn5)),x): fn3 := ff1/xn: Fn3 := Int(fn3,x); value(Fn3); KiRJInhHNiIjIiIlIiIm LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJiwmSSJ4R0YnIiM6IiIiRi1GLUYrIyEiJSIiJkYr LCQqJkkieEc2IiMiIiIiIiYsJiIiI0YnRiRGKEYnI0YoRio= JSFH
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 21.3</Font></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. Avalie `$Fn3` JSFH JSFH
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field> To evaluate a student's response, enter the correct answer. Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable `$ANSWER`. Enter Maple code in 1-D Math that evaluates to the correct answer. Add additional execution groups as needed. JSFHvalue(Fn3)+C; JSFH
<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`-`$RESPONSE`=0); Enter Maple code to evaluate a student's response. To add additional Maple functionality, use the Answer input region. evalb(`$ANSWER`-`$RESPONSE`=0);
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field> A question can offer hints to students when requested. Hints can contain text, 2-D Math, and algorithmic variables. Adding hints to the question is optional. Enter your hints in the following table. You can provide up to three hints. Divide each term of the numerator by `$xn` Don't forget to add a constant at the end. Replace this text with hint 3.
with(StringTools): with(DocumentTools): response := GetProperty(`TextArea2`, `value`); if response = `` then response := "</mtext><mtext>&lt;NO RESPONSE&gt;</mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>Divide&MediumSpace;each&MediumSpace;term&MediumSpace;of&MediumSpace;the&MediumSpace;numerator&MediumSpace;by&MediumSpace;</mtext><mtext></mtext><mrow><mrow><msup><mi>x</mi><mrow><mn>4</mn><mo lspace='0.1666667em' rspace='0.1666667em' stretchy='true'>&amp;sol;</mo><mn>5</mn></mrow></msup></mrow></mrow><mtext></mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet); with(StringTools): with(DocumentTools): response := GetProperty(`TextArea2`, `value`); if response = `` then response := "</mtext><mtext>&lt;NO RESPONSE&gt;</mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>Don't&MediumSpace;forget&MediumSpace;to&MediumSpace;add&MediumSpace;a&MediumSpace;constant&MediumSpace;at&MediumSpace;the&MediumSpace;end.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$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> 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. In the following text region, enter feedback to an incorrect response. Replace this text with feedback.
with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea2`, `value`); ANSWER := value(Fn3)+C; if evalb(ANSWER-eval(parse(StudentResponse))=0) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!&NewLine;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer:&nbsp;</mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="&lt;NO RESPONSE&gt;"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect.&nbsp;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer:&nbsp;</mtext><mtext>", StudentResponse, "</mtext><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer:&nbsp;</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><mrow><mfrac><mn>5</mn><mn>2</mn></mfrac><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><mrow><msup><mi>x</mi><mrow><mn>1</mn><mo lspace='0.1666667em' rspace='0.1666667em' stretchy='true'>&amp;sol;</mo><mn>5</mn></mrow></msup><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><mfenced open='(' close=')' separators=','><mrow><mn>2</mn><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mrow><mn>5</mn><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><mi>x</mi></mrow></mrow></mfenced></mrow></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mi>C</mi></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><mrow><mfrac><mn>5</mn><mn>2</mn></mfrac><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><mrow><msup><mi>x</mi><mrow><mn>1</mn><mo lspace='0.1666667em' rspace='0.1666667em' stretchy='true'>&amp;sol;</mo><mn>5</mn></mrow></msup><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><mfenced open='(' close=')' separators=','><mrow><mn>2</mn><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mrow><mn>5</mn><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><mi>x</mi></mrow></mrow></mfenced></mrow></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mi>C</mi></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 21.5</Text-field> A Tabela 21.5 resume os c\303\241lculos pelos quais a fam\303\255lia completa de antiderivadas determinada por 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn \303\251 obtida. N\303\243o existe muito o que se possa fazer para reescrever o integrando desta integral indefinida em uma forma que as Regras de Antideriva\303\247\303\243o de Soma, Diferen\303\247a e de Multiplica\303\247\303\243o por Constante possam ser aplicadas. Mas, note que o coeficiente da raiz quadrada \303\251 exatamente a derivada da express\303\243o dentro da raiz quadrada. Este \303\251 o padr\303\243o que deve ser usado para a Regra de Pot\303\252ncia Generalizada com 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 e 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. O conjunto completo de passos para encontrar a antiderivada \303\251 encontrado na Tabela 21.5. 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn Problema Original 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn Substitui\303\247\303\243o: 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 Regra de Pot\303\252ncia Generalizada, 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 Inverter a Substitui\303\247\303\243o
Tabela 21.5 Exemplo 21.5: Aplica\303\247\303\243o das Regras de Antideriva\303\247\303\243o aLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkY+LUY7Ni1RIj1GJ0Y+RkBGQ0ZFRkdGSUZLRk0vRlBRLDAuMjc3Nzc3OGVtRicvRlNGam4tRiM2KEYrLUYjNiYtRjs2LVEiKEYnRj4vRkFGNkZDL0ZGRjZGR0ZJRktGTS9GUFEsMC4xNjY2NjY3ZW1GJy9GU0Zmby1GIzYoRistRiM2Jy1JI21uR0YkNiRRIjVGJ0Y+LUY7Ni1RMSZJbnZpc2libGVUaW1lcztGJ0Y+RkBGQ0ZFRkdGSUZLRk1GT0ZSLUYjNiZGKy1JJW1zdXBHRiQ2JUZZLUZdcDYkUSI0RidGPi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGK0Y+RitGPi1GOzYtUSIrRidGPkZARkNGRUZHRklGS0ZNL0ZQUSwwLjIyMjIyMjJlbUYnL0ZTRmJxLUYjNiYtRl1wNiRRIjJGJ0Y+RmBwRllGPkYrRj4tRjs2LVEiKUYnRj5GY29GQ0Zkb0ZHRklGS0ZNRmVvL0ZTUSwwLjExMTExMTFlbUYnRj5GYHAtSSZtc3FydEdGJDYjLUYjNilGKy1GIzYmRistRmZwNiVGWUZccEZbcUYrRj5GXnEtRiM2JkYrLUZmcDYlRllGZnFGW3FGK0Y+Rl5xRmZxRj5GK0Y+RitGPg==
Note que a constante aparece no problema quando o sinal de integral desaparece, e que aparece isolada das outras express\303\265es Como anteriormente, este resultado, que entrou como : LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2I1EhRictRiM2KUYrLUYjNiotRiw2JVElYW5zNUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjpRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZELyUpc3RyZXRjaHlHRkQvJSpzeW1tZXRyaWNHRkQvJShsYXJnZW9wR0ZELyUubW92YWJsZWxpbWl0c0dGRC8lJ2FjY2VudEdGRC8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRlMtRiM2Ji1JJm1mcmFjR0YkNigtRiM2KS1JI21uR0YkNiRRIjJGJ0ZALUY9Ni1RMSZJbnZpc2libGVUaW1lcztGJ0ZARkJGRUZHRklGS0ZNRk8vRlJRJjAuMGVtRicvRlVGX28tSSVtc3VwR0YkNiUtSShtZmVuY2VkR0YkNiQtRiM2KUYrLUYjNiQtRmJvNiUtRiw2JVEieEYnRjZGOS1GaG42JFEiNUYnRkAvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRkAtRj02LVEiK0YnRkBGQkZFRkdGSUZLRk1GTy9GUlEsMC4yMjIyMjIyZW1GJy9GVUZqcC1GIzYkLUZibzYlRl1wRmduRmNwRkBGZnBGZ25GQEZALUZZNigtRiM2Jy1GaG42JFEiM0YnRkAvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lK2V4ZWN1dGFibGVHRkRGQC1GIzYnRmduRmdxRmpxRl1yRkAvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmZyLyUpYmV2ZWxsZWRHRkRGY3BGZ3FGanFGXXJGQEZicUZhckZkckZnckZpckZmcC1GLDYlUSJDRidGNkY5RkBGK0ZncUZqcUZdckZARitGZ3FGanFGXXJGQEYrRmdxRmpxRl1yRkA= LCYqJiMiIiMiIiQiIiIpLCgqJClJInhHNiIiIiZGJ0YnKiQpRixGJUYnRidGJUYnI0YmRiVGJ0YnSSJDR0YtRic= pode ser confirmado pela deriva\303\247\303\243o, que o Maple d\303\241 como: diff( ans5, x ); KiYpLCgqJClJInhHNiIiIiYiIiJGKiokKUYnIiIjRipGKkYtRiojRipGLUYqLCYqJkYpRiopRiciIiVGKkYqKiZGLUYqRidGKkYqRio= \303\223timo! Isto mostra que: 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
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></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(): nn8 := Generate(integer(range=3..5)): nn9 := Generate(choose([2,3,4,5,10,20])): nn10 := Generate(rational(range=0..1,denominator=nn9)): ff2 := sort(Generate(polynom(integer(range=-10..10),x,degree=nn8)),x): fn4 := diff(ff2,x)*(ff2)^nn10: Fn4 := Int(fn4,x); value(Fn4); LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJiwoKiRJInhHRiciIiMhI0NGLCIiJyIiJCIiIkYxLCoqJEYsRjAhIilGK0YwRixGMCEiI0YxI0YxRjBGLA== LCQqJCwqKiRJInhHNiIiIiQhIikqJEYmIiIjRihGJkYoISIjIiIiIyIiJUYoI0YoRi8= JSFH
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 21.4</Font></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. Avalie `$Fn4` JSFH
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field> To evaluate a student's response, enter the correct answer. Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable `$ANSWER`. Enter Maple code in 1-D Math that evaluates to the correct answer. Add additional execution groups as needed. value(Fn4)+C; JSFH
<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`-`$RESPONSE`=0); Enter Maple code to evaluate a student's response. To add additional Maple functionality, use the Answer input region. evalb(`$ANSWER`-`$RESPONSE`=0);
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field> A question can offer hints to students when requested. Hints can contain text, 2-D Math, and algorithmic variables. Adding hints to the question is optional. Enter your hints in the following table. You can provide up to three hints. See whether one function is the derivative of the other, and make a substitution. Don't forget about the constant at the end. Replace this text with hint 3.
with(StringTools): with(DocumentTools): response := GetProperty(`TextArea3`, `value`); if response = `` then response := "</mtext><mtext>&lt;NO RESPONSE&gt;</mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>See&MediumSpace;whether&MediumSpace;one&MediumSpace;function&MediumSpace;is&MediumSpace;the&MediumSpace;derivative&MediumSpace;of&MediumSpace;the&MediumSpace;other,&MediumSpace;and&MediumSpace;make&MediumSpace;a&MediumSpace;substitution.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$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>&lt;NO RESPONSE&gt;</mtext><mtext>"; fi; hint := SubstituteAll("<math><mrow><mtext>Don't&MediumSpace;forget&MediumSpace;about&MediumSpace;the&MediumSpace;constant&MediumSpace;at&MediumSpace;the&MediumSpace;end.</mtext><mtext>&NewLine;</mtext></mrow></math>", "`\134$RESPONSE`", response); with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Hint", [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): Maplets[Display](maplet);
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field> A question can display feedback when a student provides an incorrect response. The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to `$RESPONSE` (the student response) and `$ANSWER` (the correct answer). Adding feedback to the question is optional. In the following text region, enter feedback to an incorrect response. Replace this text with feedback.
with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea3`, `value`); ANSWER := value(Fn4)+C; if evalb(ANSWER-eval(parse(StudentResponse))=0) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!&NewLine;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer:&nbsp;</mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="&lt;NO RESPONSE&gt;"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect.&nbsp;</mtext><mtext>&NewLine;</mtext><mtext mathvariant='bold'>Your Answer:&nbsp;</mtext><mtext>", StudentResponse, "</mtext><mtext>&NewLine;</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer:&nbsp;</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><mrow><mfrac><mn>3</mn><mn>4</mn></mfrac><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><mrow><msup><mfenced open='(' close=')' separators=','><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mrow><mn>8</mn><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><msup><mi>x</mi><mn>3</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mrow><mn>3</mn><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mrow><mn>3</mn><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><mi>x</mi></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mn>2</mn></mrow></mfenced><mrow><mn>4</mn><mo lspace='0.1666667em' rspace='0.1666667em' stretchy='true'>&amp;sol;</mo><mn>3</mn></mrow></msup></mrow></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mi>C</mi></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><mrow><mfrac><mn>3</mn><mn>4</mn></mfrac><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><mrow><msup><mfenced open='(' close=')' separators=','><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mrow><mn>8</mn><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><msup><mi>x</mi><mn>3</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mrow><mn>3</mn><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><msup><mi>x</mi><mn>2</mn></msup></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mrow><mn>3</mn><mo lspace='0.0em' rspace='0.0em'>&InvisibleTimes;</mo><mi>x</mi></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&minus;</mo><mn>2</mn></mrow></mfenced><mrow><mn>4</mn><mo lspace='0.1666667em' rspace='0.1666667em' stretchy='true'>&amp;sol;</mo><mn>3</mn></mrow></msup></mrow></mrow><mo lspace='0.2222222em' rspace='0.2222222em'>&amp;plus;</mo><mi>C</mi></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 21.6</Text-field> A Tabela 21.6 resume os c\303\241lculos pelos quais a fam\303\255lia completa de antiderivadas determinada por 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHpGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn \303\251 obtida. Compare este integrando com o integrando no Exemplo 21.4. Note que expandindo o denominador do integrando n\303\243o ajuda a encontrar a antiderivada. Em vez disto, deve ser notado que se o numerador fosse LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1JI21uR0YkNiRRIjJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUTEmSW52aXNpYmxlVGltZXM7RidGNS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPi8lKXN0cmV0Y2h5R0Y+LyUqc3ltbWV0cmljR0Y+LyUobGFyZ2VvcEdGPi8lLm1vdmFibGVsaW1pdHNHRj4vJSdhY2NlbnRHRj4vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZNLUYsNiVRInpGJy8lJ2l0YWxpY0dRJXRydWVGJy9GNlEnaXRhbGljRidGNUYrRjU= seria ent\303\243o a derivada de of 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. Escrevendo 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 com um expoente negativo, a Regra de Pot\303\252ncia Generalizada tamb\303\251m poderia ser usada para avaliar esta integral indefinida. A avalia\303\247\303\243o completa aparece na Tabela 21.6. 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHpGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn JSFH Problema Original 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHpGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn Reescrevendo a Express\303\243o com expoente negativo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRIjFGJ0YvLUZKNiRRIjJGJ0YvLyUubGluZXRoaWNrbmVzc0dGTC8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZULyUpYmV2ZWxsZWRHRjQtSSNtaUdGJDYjUSFGJ0Yv 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHpGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn Multiplicar 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRIjFGJ0YvLUZKNiRRIjJGJ0YvLyUubGluZXRoaWNrbmVzc0dGTC8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZULyUpYmV2ZWxsZWRHRjQtSSNtaUdGJDYjUSFGJ0Yv 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjZHpGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn Substitui\303\247\303\243o: 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEiPUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRIjFGJ0YvLUZKNiRRIjJGJ0YvLyUubGluZXRoaWNrbmVzc0dGTC8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZULyUpYmV2ZWxsZWRHRjQtSSNtaUdGJDYjUSFGJ0Yv 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 Regra de Pot\303\252ncia Generalizada, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjJGJ0Y5Rjk= 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 Inverter a Substitui\303\247\303\243o 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 Manipula\303\247\303\243o Alg\303\251brica
Tabela 21.6 Exemplo 21.6: Aplica\303\247\303\243o das Regras de Antideriva\303\247\303\243o a 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
<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Resumo</Text-field> O processo de desfazer a deriva\303\247\303\243o \303\251 chamado de antideriva\303\247\303\243o ou integra\303\247\303\243o indefinida. Como a derivada de uma constante \303\251 zero, isto \303\251, como 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, se uma antiderivada pode ser encontrada, ao adicionar uma constante arbitr\303\241ria produz-se uma fam\303\255lia infinita de antiderivadas. As regras de Antideriva\303\247\303\243o s\303\243o obtidas invertendo uma Regra de Deriva\303\247\303\243o. Uma boa propriedade das antiderivadas \303\251 que \303\251 sempre poss\303\255vel usar a deriva\303\247\303\243o para verificar que uma antiderivada est\303\241 correta.
<Text-field style="Heading 1" layout="Heading 1" spaceabove="7"><Font encoding="UTF-8">Pr\303\263ximo Cap\303\255tulo</Font></Text-field> A habilidade para encontrar antiderivadas e avaliar integrais indefinidas \303\251 fundamental para as duas unidades finais deste curso. O maplet Antiderivative pode auxiliar em seu desenvolvimento de uma melhor compreens\303\243o da rela\303\247\303\243o geom\303\251trica entre uma fun\303\247\303\243o e suas antiderivadas. Use a sess\303\243o pr\303\241tica online para este cap\303\255tulo para melhorar suas habilidades. O pr\303\263ximo cap\303\255tulo aplica a procura por antiderivadas para investigar solu\303\247\303\265es de Equa\303\247\303\265es Diferenciais. Este cap\303\255tulo \303\251 uma breve introdu\303\247\303\243o para um importante t\303\263pico em matem\303\241tica. Muitos de voc\303\252s provavelmente far\303\243o um curso de Equa\303\247\303\265es Diferenciais depois de completar a seq\303\274\303\252ncia de C\303\241lculos.
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:4:\"\{\}-%%ROOTG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"&S-"F*-%.BOUNDS_HEIGHTG6#$"%!4#F*-%)CHILDRENG6"