?TMkr[?:;JUJNJJH:E<=JFJ:Nv@P:_r<N\\EJ:<:jyyyyyI::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::BmSHmS@::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::vpqxpq<::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::xyyyyy;:bwGyjgYs?hwEij:Bw=igeirogwGijgYs=hwEYjZ<eq]wvuxegYs?XwAIigYs?xvuxeUYncFtAxVGiiIEvihbayqewu_x_SimWVuaX`QimUfu[x]QImMfu_H`Sym[vtQH[WinaFt?hUAYg]dsuWSSYmSvtOh[AygeDtChWAYhsDtCxWSQ@YxZuPkUue\\X\\MqjIU`hWLmLiatV<xRmngUTRhWMMmhaTWdWKeLfmsG`wIykf=TL@XTAOmqUlhX^uQqMwEAygUTuaX^]Yp=wxaYryyywyxYyxiysqywIYsywwyxgiyqIwwixaYyoyvuYx]YymIvuYx::::ruuYxYA:::::::::::::::::::::ZhiysqW:::::BxWYykA:::::::::::::RuuIxUA::::::::::`yqCv>xxQykqytQxxQymqyuaXsYwwyxeyysywyiyoiyqyvoYvuHxOiliis?hvqxcYynaVuUxZMYjKEt?xT?ifEDrSwG=IeiSrTMkqTW<XOAMjatQ<XNmliYtOxWNqLj]TQxwKILkutXLxU=OnAvnpx`URpiV;mx_=RpeVylX_yQpiV;qX`IrpqV>IyhuTuMxYAYfySpevxpX`MrpmV<=Yd]ssuWRQYkautEXWMYjMUqMWEmXa]Rpyv?AYgMttIXWMyjUEkWwAihgisygvuXeWin[Fvcx_cyqeGw=IheiroWw?IieirqgwAIigyrsOluUtywREyhuttMxWQykiutIH:lutIXXku]X]YynYVuUxYQykeutMXXQYlmEuWwCYijkmUuUxZeyqUwx]yp]yoqVtExUQYlqe_qqoivypx_yqp]`IrpAw@AyfItwyxeqyuQxsiwKax]Iqpivy<GijTxZwv>qxaarrYwFaynivwIyjiyriwsawLix_Qrpqv?qxairpyVkitUHw=ih_ypOwv=IhiysIxwIykjniVtIxXAYhiTuUx\\Yym]vu]x^YYnaFOxwMiliItM`CUtOpnivuax_CmiYtS@mIu_HxQiniYtSxwOYmiitWxwOimgYtShxYypsiwQix]iqiitXIvsqYwJyxeAtrawMQylAvxIylaynqvrawMyxdysrYwKAyfQtrawMIyhAuuax`qyuqxxQylAyhqtqYwKAYaHxSYomyukXxYYpqyvAYyoYvwIyiYykiumyuoHxUiomiuiXxYYpmyumhxaIruYxtywMIgiyoyvqIwCIxWyomqgaYrmwv=yhayqiwwQYnyyx]YymYuWYlyuuinYyoyvsyWoYvyhx_yqoiv;ix_IrjsEXx]ypuYxUivMxYI::kiysQx]ypeysIxwMiuax_YyniVJmiYtUHfx`Yyoyvuixa=\\xwQYn[nyvwAyiqywQyxayrMv;:fyrqywIyxiY:::ZtmvqYwIYx]yqmYvuHYaiMrqyvgys=FX@I:_YymYvdYtuyxayyuyxyYymyyuYx;::JyqywuYxYyxiytqywUyxiYuuywgY^yryyyiyyqyw=:ZxiyumvuYxaIfysqyxayyeyyyywyywiyZwyYsApywoyvmxwyxuy:nYtyx;vYxyyyInYtI:ryyA::::::::::::::::::::::::::::::::::::::::::::::::::::::Z_iv_iV::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::xyyyyy;:bwEYjFR:^x[qPAYigYs=hw:rsGXvohc_ypGWwAYh_IqUwtSX\\[ipQGvkXcUymYfu]x^YIpGWu]X_UinkVvmhcUimQfsyGUMykwutSX[Uin\\x\\UQl]UgXXZmPpuV?ax]eqm=vo\\X[MQnMVu\\X[EqnQvvLxWAplmuk@XSiNjuT]<xRmNgEtLXWH]KfqsGXWHekfqsHhwKmLiut[TxZ=Qo]v:uxc]stIxXeYriwwIYkiYtQhoqvvqxbaypQwvyxeiyriwwAyhiysAXoYvuYx]qv;JrGyj=:xxxayq;:::::::::::::::::::::bunW::BxWQv;::::::::::::::::jpSu::::::::::::::::::nWtHUag=joqyuexxYynmYuYXxUYmmytQXxMykmYtIxwIyjmytQXvix`oui`xXyogqsCXw?ag`ip?Wve@`\\aoknu_p^Xqnavubh_YAofvubh_ZYon>vfh`[aooFvg@a^qpI?w:qfeqrpowJikaiq\\WwDyiiItLhwHIkgysExwLilkIu^xwMilhisCdmMfu]x]aiqUWw?YhnpjytX`wGyjgysFHxRInnQvrhx_yqoavvTrigvoHdUymSfu[H^aiqYgwGijeIsugwAIiLXXUylyUsewLyXdYSsqwOUYlyUuIXXWVZwpx]iQfx_]xDsuWwCA:bieyruWwGYjkytShxYioiysGXwCYiPxXQylye_yQnx_yqoYvsHygYtxQykYykAvqyv?yxaYrpyv<qx`Arpqv;es=pl=vtMxWeYreWymYtqYuYXvixaYYn]vu]x\\UymoXChwLF?@oyuoXykiusywMYxUIoiysIpm;KIlFsoYvyxwPymnIvrpxaAsqIwDEtOPnaf^ArnIvqpx`irrQwHyxcYsqEm`X`[dqSOimfsrQwGAYWHxOimJpIwvswQIniqaYyoKbcmmiugHygitqIwEYxWiokyt]poAG_HxSYniitWHygYtwyxcqsMXvmxcgwPAyfatrawNut]XxYipuYxYiyqyvsiwMix[IqtxeowSIygytriwOYylIvwIYwIykYykIvoYv;Yx[IqmIvqXx[yptXfaYrmWxUYouywMYysyuIxsywSYx[IqoYvyXx]iqoYvwhxFyiautYx\\qyvyxxMyoXjuWyoayqawuYx^QylQvtQx\\=rvAixayrJsEXxUYoyyxaYymYvuYx]iwey::::`Yyqyv_ysqYoYyDywQymiytaxwUYomYueXx;VwvqXZfayqEyiARusywUAnWphrywwQyn=uQyqYw;xyxiyyuywyYy;::Jxyiv=nYmYyqYwdysqYwMyxeYt;JyiYuuyxeixayy=RytI:lYymYvWyqqyvAYsAfyt]y=uAnYwQykxeYy[uyYbyxYyyyy;wqy_YlIuax=yAyyytixqYwYyjyuiyyyy=::wAyA:::::::::::::::::::::::::::::::::::::::::::::::::::::fVEYs:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Zymy;:bw@f_IRJ[Ui=QxVQooQvspx`Qrpqv<yxcIsrQwEQxUAohYtTpwMQmiatV@xQQnlYucHwAiiaArgWwCIjjyt\\@xRan`yqbWvrxdfasAxwMAmbYro_vvHfcyrvGw@YibarnGw?AibQrk_vshebarm?w?yh^IqWWvphd]qpNgubp`WIopFuYH^OilEVtKPZOqlIVu`X`[ipOwv>qhiqtZhx^yqoyv?yxcassywRQyjauuax]iyrqwxaypMv_ypuxVyoqyuaxwQymMsqYwSxjx?Xjqqii=::::::::::::::::::::thsqW:BxWYy:::::::::::::::::::jpSu::::::::::::::::::::^wwAyf=:::jpGyhUxruwYx[iyoIvwix]iyoYvhYsuYxMyxaYqmytUXxQYmeyrmWwyXdayomvuMxWQYgqSsuvxxx\\Mpoeu]`XUqMmIUXLXR]mkuTUDxOEmiYtPtwMulieTS<XPYMkyTZ@xOQMjmd^ipG?wyhfdarj_wEQjcarjWwCaigysGpwKykhAtFhwIikjitT@xOYmgysFlBIYiqtreWMyXd]SrEwC=ycYSsiWNQyluus=XTMYi=UrYwGuxairrUwGUYmEVuQxZoVeyrowvuHe[ioqfu_H_gIsswwIIkgYswgwCIigIsugwCYicIregvsXdcYrewwGijgIsugwtUuMXYsifqqyv=Iyfispqv>ix_qqo=PylKZQyl=f]iqsEooIvkxwOYlgItKhwGyigYsygwGIjgapEjPhtIxUiyqexYYpkytSHxQImgysCPmEfaQroqv;ix_iqqIwBiyqYwwutoYvsHxUIokIu[xwMyl\\X]YymQVuUxZwv?IyiIuxAyhYylIvrawLyxcQSvxbQSnx`armyumXxXQpoUjkitWxwMImiYt\\youVtIxWQYluUvmxb]YoqVvCxOAVwJAY_HxQymkytY`JetYHxSyn<ygiyruWvqXe]YpAgeItrawKEu_XxYYpuIxWixairmyu\\ypYwuiXc]iMyxeItsAxTaypYwwAygYylIvtIxXmg]ypUgeQtsqwPYynivwIykayqYwtYx\\QykAvtIxXAyhAuriwOIyiEygitwAmIvsiwMyxaqwIYkeysExv=yh]YqYgiQU<yxeysKyiYtkwMYlCsHiuYx]MleysMXwEyjaYrmWxYixYypiYcYyqIwfXqYw^xxYY`yriyt]xwQIjmiibayoAwvUtsYwMQuaXxUIdXxOW:iIuwIykyyuyxwyxgiysywwIyiA::ZrqYkA:::pyvyyxiyy[wmxwywyYqYyoIwuYx_YyDitUyoAaam=:JtOynqYRx:wYyqA:yAbyuiysYxlyusw:Zrmw;sAZwyYtyxoyvmxKwky_YvYZyqYwQyuYxuYymyy_YpyyuYycyxIxyyoYwAuaxMywYZyyY:byry:::::::::::::::::::::::::::::::::::::::::::::::::::::::Z_ml;::::::::::::::::::::::::::::::::QxlQXsEYsEA::::::::::::::::::::::::::::::::::::Zymy;:bwEIjgYs;PmIVuQXZMyiAUtuWRUylqUvex^QYkaup=WCex]aQpqV>EyiIUr]WM]x\\iQnUvvxxdasp=wBeX^uQoaV:mXayRpqV@]X\\Yqlmuk`X^mQoav;]X\\QqnUVwTxYiPleuhXXZmPmuUn@xRinimtXxwQUNh]TU\\wHiKe]SCTWFIkeasCpwNemiyt]PXXOwCYjhYtSPxWIppyvAIyhAuweuyyywayyyxiYuYxwIykQxUyxeysGYuawIyjmqqyvyH:::::::::::::::::::::WYymiu\\iw=:::::::::::::::::::::RuuIxUA:::::::::::::::::ZfMp;::::::::::::ZqawwyX\\ypuyv=YyaYrOymqYeyyuixwyxeiyeIsuIvexxQIlkIsewwwHbcIoIFvMhTYijgTuuwLQihGdtmgKKYg?Ts]GIEIfmCsYgH?id[SrQwF?iescrWgI?YfEDrUgH?YfATsowOIijQUtEHWMYjQUt?HUOykmeu[X]YincVuWx\\[yowfu]X^WimMfu]H^]iouVvmHc_YpCWviXa]yowvvqXcaypGWvixa]Ip;WviHbeirkGxKIkcIragvqHd]youFvex_cyq[GxKykiis=hwEyieyrogvqxc[IpyFwyXfkysCxwGYjnQRsPykeusAhpiv;Usyolox_Arp==`;urwWxWIokIuPithx_qqpqv:mZoVeQZYYnYVw=yfayreWwAyg]ynavtMXXQYm=VuYX[UymMvtMxY]yoqvwEyimysAxv=yfeyreWvix`UymIVuUx[oVXhrawIQylquuEsoYvyhx]IqqivyHxSYniYtMhwKikgisAxwMilqIwhysAXvqxcYynifcYSJ`YIcyrqwv;iggis\\yoyVveXaOWhhqAwCM]]IkytYpo=WvehsawLIyhUxUyniyt[HxSYnlhrawKUuchx[IqqIwCIxTwuixa]YpIWvqxc]ypMwwEyjmytYXxQymeYs=XvqXe]YpMgfYTPwwIykqyuqXxQYniYtUXwEYjaYq]WvmxccoqyvAIyiIusavqxcUwKA<Yi]YqYWvmXdiysgyrywwAyhMqmYuehpIWgYtrxLxvyxfaIqIwEIyiYu\\IfYYqv=iqiWiIu^WgAOquiXxYyoCuqYwKix]IrqYwKIykyuFX@I:bvuYx:Nyl=masAXkyu\\yq[syW<isAX:jrSv:ZlexNY:VXoivNX:HIaqwQYyiytswvX:JvCx::pYwSytYxuYxCyiaq=\\IkAvX`ImiyuixwYy:rxyyywyywIyFYJw;rxwYysyywIyyApIuavqywYYwQyuiyEyyqxSyZxMySyfY:yAwAxyyyIZxMy;yyytIwAvyy=::::::::::::::::::::::::::::::::::::::::::::::::::::::jlSs::::::::::::::::::::::::::::::::vjAxj_iv_iV:::::::::::::::::::::::::::::::::::::xIyA:ZpiVTX[gv:axZaplYu`HxSanmiuj`xZypkAu[Hw?qh^Yq[owOimkiugpwJQlcqruGwCyieisDpwKaleYs>PwFyjdIs<pvxxfcyrvOwDaj_yqdOvmpc]ypOovx@gZIpCoud@aXaowNu]P_OqlIvtTh\\RqmZFuZh^WQot>vlxc]Yq\\OwCQjhitYXx[IqsAxTyyxYyyyyyyYnywUytywgysAXmyu>X<I:::Yai=::::::::::::::::::::JqqyvuhrqW::::::::::::::::::::::pxxgW::::::::::::::::::lhraW:::::::::::::rwvX::ZeuwUYymIvwAXIkYyhXxAyceynmUwIxOouV@ySqkqaty_xDIgjYrSww=IegqqK_wvpcdIqEwvo`b`Ipw^viHa^yOAIeacrSWGAYf?trcgLCyfOdr]_opcaiqYGw:yfaiqZGw:AgdyrrgwFijiItHpwIQkeAsuwwJikhysF@xOQmmquiPxWQogqsBhwHyjkqtWXxUIomaufXxXqooAvnHxRInkytVPxTqnmaudXxVQooYvuxxaaRCih_IqIWvmHbaYqOGw=YgTXZUi;qx`ArnYvtXxVaOsXdgYsXYmIVuUXZUylyUuQxZgVJmEf`mlAf_QRbsrjgYs\\ynevwIYiYyn]vtQxYQYm=faYRIyjJmEVvix`eyreWxQYleyriWuQxYsiXx[wv?yxbirqQwFQyjQuuQxXYYAyxDxvqxcQYmEVuYx[CkiItIXxUIoqqhiyrqgoivvqxcMjaypEwu]X^GwByxbUxWYooYvuxwSingItKHxOYmkQaOWvspav<axZAqpyvAAydqSQAXyouvuax_YYouVvmhrawLAY_`KUu`yq]wuiHDggatriwNmcCosYwIyxcIsvtqawKAYeHxUiomIvqxxayrsiwQIy`XwoUSYokYueXxWIpoYvlyt]XxUYomigewOix]iqlhsqWDYjmytYXxQYnwxfiyryWkQxSxYipmiuiXxdWwEyjiYu]XxCygaqmvyH[Yy<irUymqwEYkayqiWwEYjiyt_ypMu;Jp?yhiY[YyDIFylUx]ak=DI_AJwEIaakYYhyt_yqiwwAyiEx:[ajiys=ZkiY]A:NXmAZtQXHit=:wqtgyuyyxqyxaysuxiaqEy:kiy\\I:::iqwYIiQx;JvCxrywIy^yxiYwYyoat=hIbxFyxiYNYjwyivyYuQymIsAbynYqQywYxixyyx]wmx;::wqywYbyyQy;:::yyy::::::::::::::::::::::::::::::::::::::::::::::::::::::::Z_ml;::::::::::::::::::::::::::::sHqsxjAxjEYsEYs:vJfVAxjA@EA::ZEMdMWdQxlgV:HFcHoc@EAZVm_iv_Qh_iV:::::::j_CoZ_=JdMWdMGEa_=::::::::::::xIyA:Zqyv>Us;xvuXe[IomneySqMwFqxbYSoiv?ix_QRqAwAqXcaSreWPaX^ERnAVqlx`aRqUWJix_]RmyUoLxWApnYVx\\X\\UqiutZDXTqnl=VotWPqmf=tIhWKQlfysIdWKULgAtLdWJULgItOhWMEMiiTZHXWApomV?IYjUUwAyhuyx]yyyyyyItywuYxYyxeYsGyiiYFyj=xHYA::::::::::::::::::::JvyHWah=::::::::::::::::::::::jpSu:::::::::::::::::::^WkIu:::::::::::::jumxxYI::::hHQA:::JvSx]iyoYwwyxiYykiusYvmhxIyhkYqsvwgX\\gIoAVw]HXcImWEwOhSaIl?evIHR[Ikydu=hPSiicttqwMKigKTs_GJCYfwcrWWHAYeiSrOgEAieqssqGP=ydgCsaWLIYi=Ut;xStuk\\XZQPpavwtXaURpaVydx]iQpmV<uXbqB[fvmHc[YomVuWX\\WInUNdYSt=XUUylyurYWIqXaaRrUwGIif`x[Ew=YggIsqwvwhe[IogfvohccIr]Ww?yggIswomMVuMxXyxd]ssuWQQykaUuQXYwv;mZUI\\x[MYjIUtAhqyv>Us?xwGijiisrjiis?PnQvuaX_UylIVuUx[oVXx[wv>usEpmQvwEyiaYr]WuYx[Qyl=VuYx\\UymQfbirpyViitdyrmwxYYoGxUyxcyrpejgItExwMIlnrrYwGIygaTairwYxYIygisgItGhwIYkgq]UYn]vuix`aYqQwvuXdiysIxxoWiYtmyukHxMylkitSxwOylmYucHxSyngysGXwIIkkitWpo?Y]xwOYmeisEXwEijkyt[`LEu_@jokc]YpIggYTFygatsqwQmf]iPAygatriwPeugHxWqwIYkmyuixwAYjYYpEwvqXeaYq]wvuXfeyryWxYYpGyiQylQvrqwQAyhytsqwREvVXsywQiyoivwqtiIkYuiXxWYpNUayrqqkiYtQxxYypuinqytaxxUwPymaYrqwvyXheyruWwIYlii^Yynqvuax`aypQwwQym]xYyo=LiuMwMYxYiuYXoQj_x_ayoAwuEtqAgItqiwMyxgYt:sQomidmoqyvyxxiYu_yqqY:::BxwA::::`ivIY:uYxwIy^yrUypYwMyxayrqYwEitQXjsqI:^XoAJymyuyYymYysyuyxyA:wyxyYytyxoYmiyByiiyXIBxjxiyygYlyy_YjxKyOYuYxpYwcxyQxyIfY::lYyuYxCyyqxwYyayeynY:bynywMy[y=:vyy=::::::::::::::::::::::::::::::::::::::::::::::::::::::::jlSs:::::::::VRAxYyuYEYsdUWeuyxqyjl;r[INWeUWQxlQxyxqydUWeEPHRdMWd=Wb=WsEYs=Wb=WbfVPHr[fVEYsVR`tNatlQxl;::PH[F^[VdMWd=_pohpgv_iv_m=C`kF`=Wb=G^[F^EYsEYsVRjlSsFO<SB=SBchoghRs>L@tJADdERsVRxA=Wb=w[Iv[Ea_=XBRsZJl=Yr=klSdVr=Yr_mlC`kF`B^NQjlSd>L<CM__mlsjFO:::jl;::::::ryvY::PYlmUsmwPqxbMsn]v:aX_IRsiWOuXcUsmEvrXXZqPoiV>uxbMsm=vpXXZypnIvt`x]iQnUvwHXVaOkYUeHxViokUUdxWQymgMTPdwJELgITO`WIqKeeSDXWGYkemSHlwMYMkYufXxZAqpAwDYYnaVyayryyxYYyoxxEwuix_qvAisyWmA:::::::::::::::::::>yiiY:WYykiu:::::::::::::::::::::ZgExUA::::::GYp;HbuuHiGaKUykYuuA::::::::::::Jp?Y::::::::::::::XYpwX::::Zeuw:::::::::Bu\\ypcudYswxgYyhItuAw:AyWimpat:hxGAhnYscWxCAgkAs_GxAaflqr[Gx@AfjirZww=yehQrW_wy@edYqLGwspcaap@ovmhb^Qp;OviHaZYonNvj@b`QqPOvixa`IqR?wxPf`YqXwvxXfdyrrowJikcariWwBYijYtKxwKyK]H^UInUfu]h]UInSVvmHcgirqGvgX`YYn[fuYx\\_ypXymIvtMXXWubxwLalkeacYrcgwEyigIsyOmIVrUWGAyeqst=xTUYmAf`=iItChvshd_YqOwwIijgis=PmAvuYX[YymIvuYx[cjPxZYYmIvu_rqqv>usCxwIYkiysGXxQymmIuYxwMYlTX\\UymQVuYx\\ckgysXYoiVwAygiys=xuYx\\wv?EtIxwKykjnYVvaX__x\\iyqQWWyogysCxwMIl`X_YynefdYsqIwCIYihyqivwix[ix[ipiitSxwMilhX`WwGAyeysrYwFYyneysiwuIxYix_iqkyt\\youVvixaaiMyxdisnQvtxXWHxSinkIu]HxSaeewMilkyt[HxSAaHxFygittAXmYueXxUYoZPIyhqtsqWoYv`iSeugXxXGkXxNykiuvyXqIw\\ypGyiAusUpmyuoXx`WxQYnuywQywMylaYriwvyXgwwUIYuhx[Yq@YjuYwMyymyuuYwMYxQYnayqiWwAyhayrqWwEYjeYsAXwEYjiIwIyiQxYIxyxayxaYsiysMXw[[Mkei]uvCyxaanivuaXHYlqYvuxyqYwuYx]IkA:::yYypYwMYxUYoiytYxwQYngxbaYMIy^YOaeaYQAXivyX:fwvyxg=JqmYvuhr=vwvuuRykIvsIxWiyXixmxiyyqIbyqQy;:Jxoyv]xiysiytUyLIRwuyxeYy:nyvAyyqyumxSy:ZvEyJy;jxwYsyytix]wuynyvqywQyxiYVyxuxyArywA:Jyqix=jysynyx=yay]yyY:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::PHEA::::::::FN\\SF]slQxlaDkF`kFqsHqEYsEYs^U\\SF]sNatNQHkF`@DEa_=<cJlNkJC`fVPH::A@:::Z_m=[_YR:PHI^NatNml=CEa_m[;RsvJPHEaA<PH=__mls[Z_mJCocHoB`^UPHEaA<PHr[Z_=:JdC`kF`EaVMB=SBklC^Z_MB;Ea==:::jl;::::::ryvY::PxXQpoaV<EygmTqEwEUxYePmyehYtS`wGQk]AqSgvtpehQtQHwBIj_QqYOvm@d\\ipMWvoPdYqo<Wu]@_VynkNu\\h^PYmOvtW`]NilFNtLpZQamTvuhpBAxW[yoCGxOInqiv=yxcYssiwIYykIu`YrqYw=yxeImIv`yqqyvyH:::::::::::Ji=wSqXlAWaiuDqXlAgthlwAyiquIYpjPlTwrkpjwIyiqvTQrypnqgysqwHYqNhyremoG_uIxpxk=WNYr_Tw\\Itx]iXyslhw]AtHQqN\\H=Tw\\ITREcypnqCxWiqnst`LnSjtuxi=UCe?JmawZ]t=i>pIuIxWA:::bmnuIQpPir]puIQpgumuIxUyk[W[[g^mdsmHjuIxUioExb[oftVWMsxgw`IUKw[OdoExbuqpuwaEEpxkyViyVSqYvqXaeUD;JiCbuuH]VTwRykYuuIxUA:::bqYPNYR_xUMUqx]ypqIW@nUpHWhhaVykIuWhha>GYp;@Zfiw]qsXyskhyrawjPlSwpV@gXysk\\HMiyvRqxkufHIpwyxfqvRArbxJgHk?WyiIuwhm]WuAQaeuCqyumxxYYp?yfiyrmusw::::rtVW::::::::::::::lHSATynqYuYxxQYlmys=XwuxaaylAuuiWFQYcuqsmVpHy^IPsYVjDY^EprYVk<y\\EpqMVjtX\\uOqEvhpxZiopyUglXY]OpquddXWIOn]UaXXVqnlMU^LxSUnkAu[DxQyMk=UZHxSinlIu_PxWiomeUfXXXmooYVutxamrnEVptxaaRrUWGuxbubGijjatOxwLQllQu_@xSQnjatP@xNqliatOhx\\YqnIvp@xQqmiYtPPxTuwGyjgis?Hw=yf[iosFviXaeIsswwIyjgaqEkaIqOWviHagIsXymwXA@\\x\\QYliureWMUi<yxbuwIyjXHPvugRKykiItGxwIYkXx\\ckiysG`Aqx`artAxTQymyupyv@yxbyRXFBliItEHxOImwYxYYx[ipkytUxwMYliYtKxw`FOhwIYkoIvohymyusYwKywOImkytYxwpvueX`YYoevuex_eyqUWy]yquywMYwEyh]youVvqXc]Yp=WviHOYmiIuYxxairwyxcYykqvqhrYwJmb]iKutTYnUvtQxZYyo?ygaTUIomIu_xwOYmiitUHxSynmiueppQwvuXeaYqUWwEYieyqewvuXeaiQmeCpqqleYs=xvyXfSpFUdWw=Yhuyv=Yx]ypayqewv=YhaYrigjaUWYpoyv?iyoyvwatUr@yieiZQYyPrqwv=yhayqiwxayqyYx]yymyuqYwIYwEYkiysExwIykii]QymQvtQx[ev=aZYyoyvwQYyIykiysywwIyiAyYymYymIvqIwhytYxwQymCtqqmss>W\\H:MyxeIt>W:XXx]yquYx]iwey:::vYoyyuix::::VYuixuixaYymqxGX:JsqyvEitQxwQymexaA:byTyyuYxyiv=::ZxayriyuqXqywwyxiQxoYBxwqwoYtI:tixaY`YyqYwcxZu=pIwqyuI:nywMxyIZwuyZxiYJy[yyyy=::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::jlQh_=:::::::j=cf_gfAxjAH`kF`_gf_ghoghEa_MWSdMWdk^=Yr=QplPpJ@lJ\\_Mh[J@mR@m_MFC`^UPHEA:VR`DEA::Z_MBcf_gfA@Z_m=SsPxlSdVRAXsVR`DEa_m=;EA:Z=MB=SBadc\\_m=;Eacl[SsfVXBRsZA<PH::A`cllSs:ZA<PHI>fVHF::::EA::::::Zymy;:RtGhYQYm[Vu[H_Qil?FtCHXIij_utQx[MYkkuriwO?IgaDsqgRAygiDqCgDshcWCr[wKyXe=TqOgHyHe?TqOWIix`sboqf@;ifWds;xUSInevv;IhiYtWXxWipsIwIiymyvwyxeiyqYwdysqyvCxYYykyu::::::::::::::ygcieqYxf=FOXVRQRJqQXpYvuXJqQXTw\\ITJqQXpIygciuk[W[uIxWIb:ZyLeQvK;JiOpZDIBb:nst`lZhivfYxEWhhcVytXJ;IHfEvk[W[kvVUSytXaeUDuG=FOpYvuxx]Yq;Ruuqp;:<txhMREsf<txhmYUTutwaEutuXi]sspLeQvKYUH]px]ypAsntKiyVS=dufyrEf_VPgXkAGbh=xUMUAtwaEuYUTupigAN:jYcoExbkvVUSyfY::::<DUyrWHdIfLwxm]WylXJqqWpifyq`phXUf;WYq;;?vQtVWIs>uoApYvmXiyvRyuLUqxYYp]ssllUmSntWaAuxSZcD:UyrWhqvq_<;WYTXf=VFIQPpyuwq_phXqsk@nwSyiqx;::Zemo;:::::::::::::::OYydH::SQvmxx]YqcuXYo_x\\aylQuuAxNQydQrsQvgxxUAmnatyOxBQflAs[GxBaflIsaOxCyfjir[ww?Qfhar[ww>yeiQrWgw:aefyqSWwwxddaqOOwtPdcAqK?wqxcaqpFgvmPc_ipFgvm@c]Ip>gvmHc_ipJovt@e^ypJGw;Ageyro?w:yfeyrrowHqjiAtJpwIQkhysE@xNIMch__YpCgvmhb[yneVvgXacqTAYfAdRInlYubhxZipoIvqHxTinkytYXxWYopqViysGHw;if_Yp?gvqhciis=pnafbqrpivyXxYqomYubpx`ArrIwCyxaarqyv?yxbaroavvhx^iqpqv=yxbuwPFbkiItGHxOYmkytXymQFK`B=IikkIu[xxaYrmYucHxOImiYtKxwKacQsqIwCqxbyruix`YynYvsAxQIygQtqIwBUtblgItEhxYIpwYxYIycYsoyumhx[YpkIu]xwhvuex_Kw=yfmyuexxYypiysExvyxfeiUAygQTQim`hsqwPiypQwwyxfQyliULWvmXc]ypIWvmXcYyouvtQxZ]YouvvuxegwOIY`YqUwuex`_wMMfaiQeui`RQyjUx[ippxd]ypQwvyhsUpqQliytUXwAYiayqawvWusupkiukHygYtuYx[IycisqyvAYx[YqoIvspqmgjiuuax_qyuYxxYynaypIwuax_YYhYtUXwAyiGxXEvupryWxUYouipqYciyPyxaivyXPynmIsQokwUyniIoiv?yxVYdYsEXx]yqswhytuywQIbwnXjuuYxYiv]riytYxvMxwwwuuuA<yx]YrGyjiY:]YymYv:ZlUxZtQXjsqYwoyvyX`YyGyx=:bxwQw;::^YwyxeaoMucw:ZqMvgYyiysyyhyy_YlIJyqix]vIYsAZwuyvYRyfYrybytIwIywiyxivyYRyfyx=sAfyyyYxI:xyy;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::RsPxl;::::::BqvjAxjEYsEIocHoRl_iv_AtJAtlSsFNHv[IVF]ccHOQxlQH^[F^sHqsXsEQWOqclNcf_gfMWdMWdNqtPq_ml;:A`cHOEA::Z_=DUSEu=Yr=atNaDPHI^_UsEacHOAp[QHA`cllSsnghogAxjAxJjlSs>lJ@lRD`A`_ml;I>fV`DA@fVXBRsZA<PH::A`cllSs:ZA<PHI>fVHF::::EA::::::Zymy;:RuYX^Sim[VtIxYIIjQurkOmyUo@xSuNjuT\\<xQQnhaTVhwLqLhYtS\\wIykeisFXwGikeeSGhWMIMlmUmdX_URp=wD=yeUTtIXY]ypQwxYYqyYymIxYx]YyeYtqyv=iryWxH:::::::::::::buuIx:jYsiGwWKw[QDdIvL;WYsSynvSIrZhiv>nw_awmYcqfYWIbu=:xE[g^oDf_fPuIxWAw`ZDIBbZPir]@NsCbfYxERy>NjYohXeffwwAYgXkAG`am]=ewUuuAfw]ys;`DknPpIuAZZtHkvVUCdIfLiGaKmaEUiCbhmpwsZhiufyriwRXhgfY<D:y_q`mbgYxEw`XmYUdwMJSy:vQtG;?fYBuuIxSIbhm:M_`Iu:iYSYyZ`Iu:qt?QnRXhfnvSUy>NpifyQRf;oWvxfANjY;:w`ylxYiylB]PItWaAux_w;lxYYpuGy_wMJ;:y_XMJ[eiY:::::::::::::::::btNW::::::jo?yhiysAxxuv\\yp_x\\UvihxSIlmYsiWx;YciYpafwaHZcYmYuvMhS]YlCUvKXShVp@y^aprQvj<y\\APrgfhar\\ww<yehQrYgwy`eeqqSOww@ecYqN?wsXdbAqJwvpPc`YpAwvrXd^Ip=_vnXc`AqOCgUDsiommuiXxX=Pnuuk`X\\yPpevytXaeRpevyfs@@xNylkqtVxwNqljmqIwCEYfETtywRIYhiTrQWGAyfITsmwOEyhitsuwQMyjYutAxUIyi=UsmWO_udhx]YqrIwEyxaQrmquiPxUqnnIvpxxbyrrIwCEtChwGYjaYqUWwCyhkytQxwKikiq\\?w@UtKhwHvuUX[GwAyxcyR:KikmIu]xx_YqiysGxwKykNsrIwDEtOHxOImoYvsxx<xvuXdUynavuGsqQwFyxdaSpVwEyhmytMxwEYieyq]wuex_YiDyXRmmQemyt_YCqsIxwEYjcoiitQ`E]uYxZayqQwvix`YymYVcIsoivwHxWIohXa]iMYylEygQwEYiaYqUWvqXdaypQggaTUyneis?xwQqvKqYGi`RAyfatsqwQUueHxSinmyuvwSYYCqrughAutupoIvq@qIwEIyiytLisEq<isAxWIYshx_IrsawyxhaypYWlXwGvsAxVEvwhx[Yq@YiqYvqhsAxwIyiiyrqwvyxgayriwvAyhewOixayroYvyhx<hlAvuYx]ayqUymiv`Ibx_YyHyxaIkIv>X:@isAX<iryW<IFykaYSyxeqwQymgxbMnStqiwhYuKoiidaYlieewZqYwvyxfaYSAfWiYuJvgY_anuxeYyqAJy[p=::sywwIykQx]ImiysYx:pyvuIZtqYBxFYsAfys=diw=Vyxux:yAyiytyxuyxiIqavqYnyvyYJyqywuIryvYuyywAwQy;yqy;::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Ea_=::::::dEMWdJF]SFadc\\ysYEYsPHy=FO\\CEANQPH=?VR\\SFWRAxjFn[Hn_ml;:Axj:::`tNgVPH___iv_YR:PHI^NmlC^<SdMWdk[;Rs>MPHs`R<PHI^_mlcfZ_MFslfv_ivJ<jls[Z_=XBRs::^Ujl;=Wb=?Eay;PHy=fVHF=?::FOjl;::::::ryxyy;:rstpmyUoHxU]OjAu^xwP=njIUb@xS?vkPcWQou>uZ`^QQmPvtTP]Uynpvui@c[YpMovx`geasDHxVyosawOyyvyxyyyyyyxiYsQyeys?yjExpii=:::::::::::::::txx]Yq;jYwhZhivnt?Eb>NsSytHxE;?>N<UCe?jUmsn<txlmxsk[oUmsn:xE[_KHgXvq`Ddfyr=I`bxjE[ZlYUtupYvuHpIWhh\\t=enBa`wAygyQgug>nwWAkYuuIxUAUyr@Bk>fY:@CKw[Otk[W[k^XyslhY\\CygcxUMUqx;BbuuHrgsFTiOn\\t=enx]ypyEwPSuwaEuYSy>nwWaqLJSyvrjtiGgW]VTwRyfYBuuIxSIbhm:csJpqIBdIfLKw[OdqYpx_wwMJSylxYohql>uoAXvQMRRAsfpyumxYoH:iIuw`ylxS^KeAKw[nskhw]UZcLiuvRuWaAuY;Kw[xuLUQFIQPpyumxYCdIfL]FTuRyiytXyo;::::::::::::::::btNW::::::::jo?yhiysAxxEwwQvqYuYXxyxceymqUvExO]yhoxQaKaxYcYnouvUXV_YlKUvOXT_Im]EvKxT[ikAEvGHS[ikGuuEXSWyj=eu?xQDVjpxZy_;qeeyqXWwvHedYqRGwsPdaqpGovo`c_apCgvo`CegLEYgWdsigNIihiDtwgRIyhmDtywRQIloutMxXMIkWeuWx\\[ynaFvch_Yin_vu_X^]iowfvqhc_IqOGvgx`[IokNhettEhnyukHxRevmHcciq[Gw=YgcYrggwIyjaiqYwvuHexWSMYk]Uvax^]IeYriGwwheeyrowwKikkYtMxwXvueX^QykeutEhrYwFyxcAsquk`x]OWiYtOHxMQvGsrIwDM_;MpouVxMYlYynmvu]x]sliitQ`FyxcYstAXsywMix[ypgItGxwdfeuwpVvmXbeiSEwAIygysoYvsHxQimiitQpomVvmXbGxVQylquvixaiyruxairkIu_HxQQvix`aYqQWwEYiii]aYpyuiXxUyneYreWvmXcgwNuumxxayrmYvsXxYyomiuiXxWAfwPyxcYsriwMIyhqTSinmas]jYutMwOutAxUmgcpuywhysExv?usIxVUvuXx]Yqoiv;Iy\\Xx]ypiyt]xv=ygaiVQykyusMwEYjiYtUXxSymqxeYsqyv=ywQYneyruWwAYjKwAyiiYtQXxkuqhqMvgY]iyoyvdIZxYyoaypIW_iroQleysWYCyxaIsqYwIIyiIuuIxWIykiusqqmihiyrAXmqxGX:DisQXoivdIjsqI::^XoIw:hYtqywQyxeYtOY::hIqYw:nxwYypqyuUyoIwdYsWypUyRxwqvcxNY:jv_yrqyvAYjv_ys=uYxyiysqywYsqx;wIy:bynywQYdImiyuixVyyUytyxCyyApIwaxuyyyyJycyZyyY::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::PHEA:::::Z[l[SsvJHv[IFJhmWhmGI^_m[s[Iv[:=__myvIfVPplPplQxlky:EA:VRXB=Wb=wYyuYMWdMWbZ=Yr=iVPH[^cTd[F^[vjAxjRsvJ<SB=sJGnRD`Ea_m[SdfVPH_OS]SF]SB=SBeethVPHI^[LB=SBaDRsVSXr=YB\\CEa_m=cUWeU=Wb=WsNPtPqtp=Yb_ml;:B`knJAtJ=Co?fVDE[NB=C___mlsjvJ@Dy]clJ;A`_ml;::::::ryvY::tWOmmiqtZ>oo^udx`[QpFwug`b_iqd_vw@gZIpGouiHcYApF?vjhcbirtGxViotywTyYuqyyyyqYwuywQyxaIkiuuqqqii=::::::::::::tHWA::::::ygc@Rd<jtuxiYUHa@pIeiuyhqYhfUyr[Xykiu[g^otk[oxowZLiyVSUxfAvx]io=pHRuAQiyVSUHwxm_WufYPIZIiYUIf_NaSypXaeEfyriwXySGQZSueiuwhqYpp;uA:::Z;`d:vREfsmHj=FO;bqYpxcsmPiyfomx]ypqxkoU<dufyriwoMiSufYxEwxmJiSynVJmSylxtuxhuwaAUiyvRqYvmxx]Yp;:::<DgHk?GbuMm]WZqifqstXlwyxfiw]eq@upIHZwyxf]oiwWqvRARnUxEua`Au:quHUyfxgiuRXhffWpxkuVi?pwyxeixgauXqsjhw]UyhxpIXauGwhm[WyfyqYW:::::::::::::JoqyueH::::::::::::::>yfiysywxuvwix_YygIsqiuWXxGigkiqyfwkX^gioMVwexZcinsEwYxWaImYuvQXUaIm_m_yPrYvnnr`ckGuuExRYIk?eu?XRUij=Uu<ppAVjpxY=PpyuihxYuOoqug`xW]omaUdXxUAomUu`fpE_vn@c^qpGovqXdaYqU?wy`fbyq__wAqhdYrkOw>Ihgis=xwLIlhqsBxwJykjatPHxQqmkqtX@xNilkitSPxUAooQvrPxVYoiatOHxQUwCYiiysEHwyHg]Ip=Og]ttQxYKvex_MYjMureWMQykeUuMXYYYnYVvex_QYk]usywRYYmEfbyrqIwCyxcISOilXx[QykeUvex^]YoeVveH`FOpoivvmxa]YomVveX_OwEAydYSlvveXamysIxvuXdYYn]feqsrMvihqYwGQyjQuvqxaYylyuqIwDyxeisrawIAyeyssawKQyjauvetuYx]YxYioiitQHxQymkYu]HxUynoyukxxaIruIxUYylXw_urawKAyfUxUynmIvmhx]YqqIwCYymYvwyxeyx_IrkqcaYqUwvuxeeyruWv_tsqwPUueHxSinFUYquixaaYqUWw=ygsp:@YieyrqWw=YheIoYvu@qYwIQuixwIyk?xVQYwPsygkqUaYrqYwpyvyhuaxtermYvuhx]yqoiv=ixDXwOvuEsLYmwxgqYtipqyuMwWyoyvtQx[uvAyxaqwcxayrPYnmYuiXxUYomYuiHQquixx]YquywMiv]qEyiA>Y\\I:::::mQxaI:fysUy::bxpYw;:::jyWyxayruxgYyqYwhyt;:gqwoYZvIyyqyv=wIy^Y::hiwIYsQymYv_yr=Ryoaw]xuxwqw;xYymyyoyyey::::ZyyY::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::jlSs:::::::::::::::::::::^TcHofv_=QxlQXsEql;rj^TPHEA:VRPHEAVR`DEqlQHrl^Tjl;rjVsEYs_ml;BqVSjl;r[fVEYsZA<PH:::Q`N=PH:c`NmlSs:ZNMdSsZEmlSs:::::::Zymy;:rp?GDsxcasqWgK=iggtqYWLyXfWDqGWGuxd?ds=hVYyoAwwOimuYx]apUx_YymIvuIxYQvyH:::::::::::WYykiu:::::::::::wxmXVRQrxcsnst`Ltxx;:Uyr[XwWqx]iHQQRy:jp?yg=::::ZgYVeiuwXykQa[giY::::::::xUMgw]yswUu:Ry:lxx]IZH]raww=:twaAupIhgemwxm]WyfY::ZqUyiA::::Th:yq_phAyo>hyqawwMakugY::::jpIXaoSuqowxe=Z`AuyhyqYwgYV:uA::::::::::::::JowX:::::::::::::::::Fwwyxc=JoctVWpxxYivQxXYyeqrsQvfpxTQlpAuJpxQYkoYt<hxJIinismWxGYhlaslGxFQhkQsh?x@yfiyraww@yfhar`ow?afhYr]gw<QfgQr[Sj=Eu;XRQyi;utwGRQiiFraSiudtwGROii=UtugQKyhmTsgwMEYgSLTiNmaUd\\xYIpnOgdirmOw=yggis@xwJiKUx[Yin_Vveh`YynancUsrQwGEyfITtyWRAiXHxOQmlYuahx^yqpiv:AxPaMlstIxWOwGix]iqlIu^HxRewvxbAsrQwFix]QqkIUgIsywwKikiq^]iFqx_qqmquh@ycAsrQwDM_;QpnaVuQxZYynctSHxhfeYsrYwFIyhitrYwHAydYSOQvix`WWRxWqwEYieyqawu_SQymhHSIniitUxx_IrwYx[YxYyokIu[HxSInFtriwKAyhYttQxUqytIxwUtoyukHxSInmYuappMwvgtsAxSaypIwxYyoayoyvsqwOeucXxYiomyuiXxYiooYvshyoyvwIyhysIXvmhrenmIvoXxhwuiXaaypQWw=YheYriWw=ygCqkYueXxYIpoYvu`VQYu`WYymex<hkiuteqoYvwPsCvsHykYuwyxeabQylyU_YrDyjWx[QymQvtYXVvvutwIygYymYvqyvEyx_yrqyvAyxaIsfvuaXZ`YynqVPxxaYsyyxeYymixaYryuYxuyxcIyiIuqauEtqQnmytaXxCygAOadmomYuswlyumXxYYp;Rusyw:>yhMq;Yai]wuu>X<is=FxwIyk=Jsqilex_QwSxtYxYyyWyy=sA:::fYuyxwIykYyqiwhIXYymyuuIZryyxaYnYoiynYmqxaYyqYwgysyyxaYtIwA::::::ZyyY:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::PHEA::::::::::::::::::::::::::::::VR`DRs:::::::::ZysY_gf_olgV@DEa_=::::::::::::::::::::xIyA:ZRqmYVtM@[NalGvtWH^ZIpJGwCYjnQvwHyiauuYx^ayoyvwyxgUx]akEx[QvgyryW::::::Jqcu::::::::::::::::::::::fWpH:::::::::::::::::::Bu^ww=::::::::::::::::::::::rtuqo;::::::::::::::::::::btuQo;:::::::::::::::::Rtuqn;:ZpIWgAOQueHrtuiwQacUwGYycyrsyv=yxYinoItyGx;YceIpWfweH[einwUw_hYNJ_xYaYmievWHX_immUvQxVYIlOuuGXSWikCeuEHSYYkxX\\QPqMvktX[IppAvkpxZ_w:QffAr\\si=ut;HSQijKut;hSQijQut?xTMIjGUtugQIYhedskGOGIh_tsqwPMyiCUt=HTMyjSEuMHYYInWVuQhZWq@EYfItqAWBEye=tr]wJAi\\PxSanlAu]HxSInoYvuXxVYokAuZXxWiopqv<yXGhvsHd]ipGgwCyikIuYxwGijaYqSgvuxdiYsAXxQimkapqv;QXGGxIykkytWHxdfeuwMIleqVYYoaVvoSlVviX`]InSQQviH:tFhYsqWwyXfWwHMasmkytNwGYymyuuYx\\AygItraWlXb]IvssqwOayoavwyxcQYmXxWIokYucHxUynmQc]YpgYWiyoYvqqjayqYGkXxWYokYucXxTWxUYnuYxUisAxtIxUQyjYusepkqbgwMaYKQwIyx]Yrii[mfeYriWwyXgaiTyXWXxUQwAYieyrmGFXmyu`YriWwEYieyruWwKsuwwMYliYtMhlQvtUrqiv;yx_qwEyjeYsyWxQiyayrqY>yiYyoAwuax^uvAa]]tMw;qYwGYykQymyuyisExWyxeysTyniicaYMadewMyxeYtqYwKqtaHMA>W\\hpQwvAyhqyvAYuYxwqv;jyqyvyI:Nyyiyt=::::jwyyxiI::nyuuxgYyoyvdILIVYfXJucwwAfyuqXsIxyYyqavqyvmwYIiiysA:kiysIxtywyYyqyyuyx;:bytYy[yqY::::::xyy;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::EqlQH::::::::::::::::::::::::::::::s`NatNiVPH:::::::::Bocp_iFfV::::::::::::::::::::::xIyA:ZTanlNvqXegAtO`x\\iqpqvBIyhAuwAyhyyvyxxYypqytmvkqqYvyH::WYyxHYahMq;:::::::::::::::::::::Uag=::::::::::::::::::rwUqumHSA::::::::::::::::::::::::VWhH:::::::::::::::::::::btNW::::::::::::::::`xxYI:::::bwRtTIdH:::rtXYpSuvwwqxdUwAIy_YqqIvehxSilmysoGx;YciIpSfwaXZgIoAndYRtEW;IYbeqs=WxHYbuQsyvxDyaqqrivrxX^mPraVq<Y^uPrYVqxX]qPqQVnpX\\UppMVmNr__w=Aghqrjgw?yggiri_w?AhfarkWw=YgdIrcOwyPfdyq^Gw:yfbqqZwvt@eaYqUCi;Ut=XTMijWutGhWUylAVuQXZWymQ^O@xNylkitTdpIOgGxTinkea_IqMWw=IhaYqYwvsXdeanIvqXxVYonyumxxaqrpiv:YxXqonAvlxxaExSIngYs=xvuHeeirsGxQYmkyt[HxMilgIsyGw;YgiItIXxSYnkytSHxOImiItExw>yeaSSimkIuYHxtffqstywOIyfITtFYXxSInkqaoWqivwPreWviXaaYpAwvmxb[iAuuerqIwAix[YpkYu_HxUinZMQykYuwAYoyv=ix]YqmyukHxUynkYuJxYYoqYvyxwgvtQxYYylAvsyWpxcayqYwwQYmKxUYniysIxwIYkeyrmwvuxe?xUayoqvxIykiyqawuQX<YheyrOyjex[IqkQbowQYylAvtIxXmieiZIYFxXuvNxZQylIvuUrqAcIssiwKIygYtsiwMyxTxwWVHH^x_aYpYwIYyiixYyoMtqYvyhqawvAYqYwKixaIsoIwCyxcYsqql;GqtYhoyV\\Xx]YquywQivyXsywhyuWyoiysAxwAyjiysAXmA]qv;:JsqyvEitMw;Hyxeys;BwdI:qIwuyxRwuyxeAbyqiwlixiytMw;VYdyssv^XoAZuUyqiwvXsIxFyxuxwiyqiywAxiuyYtyxwYuQycyuawMycyxYyoYtIryvY:::::ZyyY::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::PHEA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Zymy;:BvsheiItSXykiuyyyxYymIiYymYv\\Yqqih=::::::::::::::::::::::::phriW::::::::::::::::rwUA:^wwEubxcYtkivIIx_ys:bxcYtsiwQYyfY:::::::::::::::::::rtXyo;::::::::::::::::::::btXYo;:::::::::::::::nxdewRtuqn;::::::::bt:NW`H:bt:::Zemp?yiqyrAxwyxgUwCIy]yolX^?wvHy]AprauXpxRIlpu[iYoIfweX\\eIoCFwcx[cinCvv]HZ_ymuevWHY_YmmUvQXV[YlWuuMxU[IlSuuIHUYikUuuIXUWYkMeuEHUYyk_uuKhW[ylsuuOhXWYlmeuKhXSikaEuChUSyjYet?xTMYjKmZa`wHfaQqSGwypfaiq[Ow;QgdarlWwAyhgYs;xwLQlhysFpwJqklQu]Tp?wuaH__YpGgvmPtyWTIYheTsewLMyiIutExV?vo`xZYP?ygeirkWw?ihgysCXwCIiciroGwyxfHXXaYpEWveX`QYk_xYYpqqv=IygYtrYwHyxcIsoQVgisAHxQymkytY@lhpyv>AYQHxSYnvS<wvmXbaYqQwvuXdaypEwvmxb_WpXcsmqYvwHycIsoyuiHx<WvqhsiWmQdeyrqWxUYniYtMxvuxd]ypEwvqXdaYqUwv=ivqxcaYIyxeYs<ygaypIghaTWIosYwGIygQxQymii`QylqusywQAyhattIxVaypyvwAyfMomyuaXxUyneiYIyjIusAxTQylIvvAyfaypQwtQXoYvdyrSvjv=yg]ypMwvyXfii[QY=yx_amQVaqwEIbv=AqyvAqs;cqx[iiyrywwIYnwvqxcYynuxLhpIwwAyiexaalMs;aam=Rx_qv=I]qvAI>Yjt]xwGwuqxcMoiYueXxUyomYuiHvxeaYBuXYp;UIyiarMvuHrusIxYA:`Yrmyv=yx?X@is=hYtuYxYYywXJvuYx]IfYFY:::vyxYyyqYfY:::::JyoY:xYyyI:::::vyy=::bynYjyyI::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Ea_=::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::xIyA::RytYwIyx]YqqiiEx[QvuHWAvWtHWA::::::::::::::::::::::ZgExUA::::::::::::::::XypwX:^WlXwStCipqhoUXpaxlmxnQ@LW`UXjYwvIYnqyumxx;::::::::::::::::::Zemo;::::::::::::::::::::btuyw::::::::::::::::nxd=`hpIWdHRtZd=`H:::OAFWdHRtNWdHMANW:::::iYtXyn[pIWiyt\\Yp?yiqytaxwAYqivsxxUImmIt;XxEYgoirOGxsHa`WBUyewxQykpytGhxPiknitF`xNqjmIt;XxKQjmysxOxIqikqsvGxEyhjQsnwwDQhjQso?xDAijYsr?xEuuOXX[YmyEvOHYYil<y`ErruV=yX`IrquV>Osu_w?IhearjWw>qgdIrcSjMUt=xTKIjGetywSOIk]etAXVHvqtx`MRquV>mx_ERrQWG=ydmsqMwEAyeuStqWPMyhqtr]wJEyfMdYUwAihaYqUgvmXceiro_?ax[qpmquihx\\IQ<f`IrrQwFix]iqnIvqpx_YrqIwDIyfQtpqv<ix\\QQGIkkytY`KEu[hwGijgysCpoGyfYtsawJEu]HxQYmmIu[ppEgfItsawLIyfmpAWw=YgeYrewvmXbCopXdsnoIvoxxcIsHYk]iKIYcXxPwvqxcayqaWx?wwAyfQyiytriwLeuvwRQyjYuuuruIxUIyTXw=Yg]YqQwvyxeaYrewwOVgItuqpqYvWymQvsAxRIyiyttIxVYynYvvqxaaypIwwIyiqyuYxuiX<itIxVQYlYuYhqawtQx[QyjYUaYrqA_AdyruWw=YheYsuwwIykWXJtMHCyx^YMyxcqwOvu=AyxcYsqYwGyxcissIxUiyoIwwyxeiyLYyiYtSwfX:fysIxvAyiExWaiiYYYymIvRymatQXDI:FylexNY:Zmex:BwdYt[uaxwQYbynY:gqw;jtqywQIgap=uyxZw=::::::::::JyoY:xYy;:::::::::::ryyA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Z_ml;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ryvY::pyuuxx]Yqsu\\YqcuvWJqsuZhmq;::Wai=tH::::ruZh=:::xHbuvWJq;RuuA::Jq;UA::sywSIylHUquKpqYvqxx;sav=pIuA^YlIJuqXxUYpqyuqHUA:siwQyxeitqYwOIygIu^WiQx_wvqxeayp=RylXvEymesuTm:MO:@Rd:Zjxlbgxiivvqxf]umwWwvqXuaw=UYylXxCylHrtRyfYSA::sauutqYwOadmomIuawUuZf=jowxeMp;QA::::^WjoCuZeMp;QA^WjoCuZe=::::lHOqueHQadMostZd=hHbtVWJo;::::QANWhHbtVWJo;QANWgytTYooxd=:`hp=NWjnctZcMo;MadMo;MAZcMo;bt:::::Zcmn[qIWiA:Oqu;::hhriwwIyhUx]queXxEygiypiVwUXVayj]TvqwH]YiusumWFUYfAcSilpQuPpxRiloytI`xOakoitEtnIFweX]aynKfv[xZ]In?VvWxY]YmqUvYHZ[ylkUvSxX]ym=Vv[h[]ymEFvQhY[YmCFvWh[[InSVvaX^Dw@=YbeRqmV;ux`QrpeVydxZe`<QgcIrbOw<agbyq[Gw;QgfYs<Pw?ihhAtFpwEIjhqsC@xOyliQT[yosfvohc[iouVvkHb_ypIwvuXeeYrggvoxcaIqSgwIIkgisAhvoXcpwPYymMVvSwCiiayq]WwEiiiItKXxUingisPiuxxaqROImkyt]pouVuQxZUYmIvvmxb_wKMcYYomvuax__wIIygaTRua@lH@ggaTLGrnoqheyrGygQtsUotxd[iuxaYrsiwKYxWIoxXeayqGyiUx`wwMylqYwEYwAirawIAyhYtsAxUQykiuuax]qytIxwAygQylyUYyoNutMwEyimi_iysyWoyvXyoeyrmgjQUVymIvuax]YYCiyoivwIyeiyoIwsqoeiXYylIvuYx[Mlmyt]xwIYkaiUYY?yxVymMtIHCyxFYsxxayrfvuax_=eaoqVcYssQpctqIwEyxRwrsPym;nxbiysIxxayqMvuYx]I:Rxlyv[wIyxmyqYwyYyiyyWYJxyiv=:::::::::jxSyZvMx;::RyfY::::::JyoY::jyuixMyqIbyxIyA:ZxiYpI:bytYywyyyYwqyuI:ryyA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ZwuuXI:::::kyu::ZhmqsunWjq;bu:nWjqsu:nWtHYAfwwAyhMq;UagMq;::::UahMq;JxYYpaYtext=ymMyqQXtyXmMyqUxt=ymeyteXxYypaYtaxt=ymMi`aXEiw]ItqiwQixeytgYvIIwYACIwYYseyuGIx_ItsiwSYypxwQyoYyrUxriXkqxmuwpYXiIypIxvIyn]Ys]xtyhnUscAfXjuAymaSuPm:MO:@B:beevSaYuAyw]ys]yt?AUqhIypIxvCygIusqo_xdixiqvn=LIbw[ysoIwOYyiIu^WhxwQiqIx`YxhQvhIwYaw`aufqvViwbqumqw]AylyvuixciyqaWlH::QYyiIu^W::::hHBu::VWJp;:rtZf=jost::NwwutVW::dHrtNWjo;OAVW::::dHrt::TIhHQAZdMoStTYoct::::FWJo;:::::MANWrwOQucw::Mac=rwOquaxx;FWdHOA:::ZeuwOad=:lHOIyeIsqYvcxxMiimYrGwwwXaiYquvwuHagipifwoh_gYpafwox_hwGQyeMstYWDotJXxLyjlIt@XxOqkmYtDPxMYklYtDXxJqjlys>PxLYklAtC@xHIjkQtEPxNIlkAtBHxJQK_H^]in[^IHxNillitStn]Fv_h^WImCFuKxWSikcutEXVOYjQUthPoIVqdx[upoYVvvsDTmKFv_H^[QE=iSPxRAnniudHxPYmlYuc`xZapnyujPxVEwyXfiysEHwyXfaypIgwCQviHAyhtWQUYmAfgQtqAWcYreWwAihkytYXxUqu]X^QYluuuYhsawLIYappQWuUx[UYmEvvuXdgWmYucXxUIokytWHxQimmYueXxUIomqdSotHWiomiue`OMegwNaynYV\\HehxYyooyukhxYYpmyuixx_IruywSYxYIpFusiwNAygattIxXiypIWkiuoivwhx`WwWutIxUMiiysAXyeYsuyv=ywIYkeYriWwgU]YqDYiOxZayqawyayrqyuixuYx[QYw`YYY;yx@hmuxPxxsyuYxwyxcIyiitqyvAa^EwAAfvuYx\\IyhytuYx\\YyoqVcaoqVeisZaYynYV^ypAwvixbayoMu]hp]caYMadiysEyiIusQomiduwOIyiytVWJpwXZgiytYxxayryywQyyiyt=::::jwyiuyywYYby:::By^Y::::::jxyiw=::::::tix=jyuixayxiyuqywYyymy_Y:jxSyxYySytItixqY:yay=:ZyyY:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::pYvyxxYI:iar=Jvsw:vX:\\Irw:::::RuuywWYyiiu:::::::::::fWJq;:jvIYoMW^AU[IUF=vRUSZAUEk[QUGmxmuwuEYnMW^AenHm:IpPHrlxlKAsoPxgYv[Au>arpPm:IpO@rkpl:M[IuE]w`iuvIyneYteXpUxhquNMRKMR`TssDmGiqYTUKuQiaWbuvZiT[IuE=vRUSZ;=`UYt@QxfYvTphoFJ@B:Be_VStWequNMBjIER_TUKuqjmWdQyqQxvIYn]w_IU[IUFS_fLFrkplFyqbxwcyuvqxeaYTYrUxmEXfAVRurPMSmlswxMEIQSTssDMJEr_DuGAQc]vTmXmmWvEymmieiyqawwEuBoYhkYv\\LqrxPfTOeTpkHpAiR>MwaUvxYiw=:QA^W:FvVYtdpn[Pjx_iRodP?ePodnGhiwkExjNys@most::ruOyqGXjmWrshnGXjm_KiyqYww=:::TvZauAir=]OeTOfr]XRVMuPqyuixx;:::NwwqxeewQAjuihpQWgit::::::::ZcewOad=rwOATI:::::rwZpIWiit:ZcMowxc=dH::::::rtXYoctVW:hHbtTYnqYuQXxUYlmYsigfIstyvuTrMwwwXbiiqwvwqX`gYpgvwshagypsvwqx`gipsVwoX`eIpeVwkH_cIpeFwgX^aynOFwch]aynQvvaH]aio_FwcH^_IoWfvah]_YnQfvaX]aioefvax]_inYfveH`ayosfvcx^_Yoifvex_[inaVv_X^]ynevuWX\\Wyl;FuIxWQYkcutAhUQYk_utGXWSIlmEuMhYWimIFvcx_PgkqtTPxRQnlMseWMQYjEusqwPIYiAutAxTQyj]Ut=xSMYjMUv]X]UYl_xZipoYvv@ycYSKIl<XTUyl=Vvixa]yoqvtMXXGvpHyfYttywQAyeyspiv<M\\eYqYwvqXdeYqwxaqrqyv>QyiIUPggiTWiomQc]YpGyhUxWyooyuiXxWajYutAxSuuihx\\Ww?usqwQYynaV`Xw=IdWvqXdaYqUwwEYjqYuahoyvtIxXQyjYUhwv=iuQxYiysqwwuuqIwCix]yq@YiGxXmhWx[iysIxxYyoayqQwtYx[YymQvtQxZQYyhx]YqqIwCiynyuqxxQYsYwKyxcIsqAcIsHiuYx\\QYlIyIymiyqiwhytiytYHCqtUHGALYmiiaQYshx]yqsqnmyt_yo]cayoIWgYtTIdxwQYnmYueXxUyomid=iytsAlXx_Wjpqyv=iuaxwIYuIxYQv=isAXmARv`I:JsGylex_Yy:HyxaInYmyywYy^YlI:::uaw=::::rytyxeYymyuuirqyveysAfYwYybxpI:hYyqI:vYuQyoYqavMx;:uyy::tyyuI:yiyyA::xyy;::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::RyBx[aimq;:::vxi=kAbuuAiqxKv;iarMv;rwvX:\\Ikaq=\\Iiaq=\\Irw:Zr=XIkar=jusw::>Y\\IvxkAwWXipnjS?Z@He::ZSqsvXxgYvKPgUnjS?Z@<@T<aNpYxheuJ=Q=a_@<:@uF]Pu=ymexkMwEEqMTrf<J=;:wVZGT__eEGVP;b[:Z<YpQxwdIvWPionjS?Z@<:HT>EOIuqXTrfnJ:jJIR^LxiQwsuxk=tx\\M=aO:TB:R`ieFKIsmhxeiteIvEIliG_YFTmb[mL=;::beevRGIrixw]isuIxSirsxnuCIucB=CC?SBC;::mtOgDo[xkuIxSYyiqx;ZeQvVQta_f]O^[f^\\F^_ZD?cC?ePod\\F^_N>jXlMY`UTqtxWwwAyeiyqYWiarUruxn?[\\:xR@]rxYyowX:Jvgyrmu_hl?h\\F^_N>jXhmX\\OeT?pyuixx;Tyo[qaWjo;OaduwOA:ju;gapmuswZp=:Juswvxe=:dhp=:XI:bwnXXIiYtuqnoxcuw:OAXynctNW::::::::::hHQAZdMo;::QQvqxxayqqYvqhpqvvax[aylauvywMYyeirtivn@yYinqauSDqovwwXbkYrIGxyHciypq^RpxWymoauXhxUimoIuThxRilnAuOhXkVwkh_cyocvviX_ayoe^PXxQqLeH_aYoavviX`cyoovvgx_cyouFwmhbayosNeassaWKIYfETsUwGEyeqSsQwFGtJxwIIkiAtH`wCaifqrp_wAIieqrp_wBYigYs=DmEfuWh\\[IoiNfySs]wJEYfATtuWRIyhutsmwOGvolUQYkYutAHEyigq[UYliUuQxYYymIVuwqpyv<AyeisrQwEix^ewIYkmYucHxUyngysPYlquvuxdeYrewvqxcYYn]vu]htywSeugXxYQvix`OwGQyjQutywRQYkPrawvuxdaypOyiexYYp:@YiiYsyWwyXfaiPeukXx\\wwWvvqxcYykqutAXoYvsPriwwIYjmytYXxQYnii^QYdIoYvrqsYwKYykyusiwfx`uv?qruWwAYiSqsqnqYwEisAxvqxdaYMIyeItqyvdYs=XwAyiii]iYYiyHYyiytqyv=iqQwvyxfMpiytUhnavuax^mlmYueXyeYtuipexcIyiIusYwIQu]HMQuaHKqtYHhytYHwxxeyssywSquiHBu:ZgayqiWlhrqWiiusIxWYyfY:ruuIxYAjv=yx?XjrCvJwMYymyvuyxaYymyuuywoyuiXTiuqX:XYymIXI^Y:ZrqYkA:FYsYxjxeyyuYxgyuqyvIYsIx>Y`ImApyvgYNyxex:VyxiYyAwAsav=jxSy:::ZxMy;ryyAJyky;::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::RyBxBvZi=Jqcu:Zi=tHYAnWjq;:WA::XIBxvXJv;jq[q=:nWkA::::vxgExUQvuHRu:iivIIbwUGQvQ;r\\yD::RmygbWit;y\\yl?;r`mEFEIrixhAwUQvQ;r\\:ZmXmaWxiav;YovWkY?ZE<::trlhj?yO:hB:bjcW_YityHbwUGr\\:::::Z;yoFpwdAv^HjrVkYs\\:ZWXilbrkhw]isCXfIv\\yl?;::::Yw_Ces=yooqn=yoAXO`lPdlNplUTMV@s@]RkmWcqYvgtJyrfGgaO_cf_rv`sntLAswAyeExSAreQWcksGmsDOSEOSDQc^Yf\\[yt;YykIuuIxQquiXWQuQMn[LnOdlPhLOplw\\QupyugyqaWjokOdlPh<r^Yf\\uiwQYylHSaeiYQaf]vxpkX_df_e:ptNItx_WfYBuNWJoctVWhHOAVWgitjuKoctVW:hHnXjuKo;Qad=JostVWdHrtTIdHRtFWdH:OATynwXXI`HbtFWJo;:::::QqueHOae=dHQaeMo;bt:::Ze=BxQAZfmpqihUx]iykYusYwpysmWxyXciYoMvv]XX_vl@yZYnryu\\HyYAoryu^@yXQnqiu[xxXanqyubxxXinpiu\\pxVympauZpxVqmoeaeypZSYMohacipuvvih_cIpqFwkh`cIpqNgATtewJ?uVXxSymnYu`XxTYnmIu]`xUynnauc`xUinlytWHxPYmkatR@xKAliqsCTmEN`IRp]Vwlx^mqpiV:qX`IRquV?yxb=SrMWF=ydesrYwIIygaTsmwNIYheTtyWTMyjUUtywRQYkUUuQxYUylAvtAxUQYkaUvax^YYn]VuMxXUymIvu]x]YyneVvmXbYYn]fairqIwCQyjIUPWuUX\\YymYvvyxeeYreghitrYwGm`eYrsumhxYqvmXc]YpAWwcx[YpoIvoPrkfspxhsiwNQyjYuuQxYYymIvuQXoIvdyrSvuxx_iqsQmmidQykqutAxVQykquuIxXYylAvviXuywUIygQwEYjcqoivyPs=xwMYlqYvqH>yiaYOyxaYroqjeYsAhlyuvqxciysIxwIyiUxYA>xvqxcYymQvuYXjtgYWQwEisIX@IZtYxwAyhYyoyvuixa=^YUiyoivwQtqYwIYxYYqwxfewQae=lhqaWhHBuJuWynavvutuIxYYyfyr]i=Rxpij=@is=:ZlqyuqXsIxhiwevuQsOYVxwQym=LyxeYt;ZuixxUwhytKyoXqiw:vXXYyiyuSxyYytIwIytYx]iv]s=Rytit=:hiw=ZvqyxayyEy:fYpI:vYnY:byZy]yyY:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::pijMr;:YQvyH:::::::::::::buZiMqcuvWxHWAvWtHrunWjq;bu:nW:jpkuEi_Xjo>l_?ZJhf::ZGyq]xtCIoJhf:>L:HsolJjmWdquLyPBQ`J<:TUI]`fYv_`jp>l_C^:Z\\HjnFoDXbJhF[>:Z=ipPxwdAv_XjoZJ<:LSplJRUsgPSppJBQP:<C:bgXpp]XiYt<]MBQP:<C:Rb;fFGirkXt?ineFUU:[>:>pPXeTXhU>l_?ZJ<:tV\\=UtyxlqYvqXnTplpn_dNlyWeqYvqxxgW:lXt@qqTmTXmapNapYvmxx_W>rv`pqn`rv`p>AFs?aqwmx;:XYp=yo=XbtNaXMU\\mUr]Qv[uQpqI:icGksGZxHqkhyqaww=:rtXYpQqs<qUTMVX=IES?UyiIuuQp;:Qae=::::::::::::::::dHOA:::::VWJo;:rtZdmostZd=hHOAVW:::lHOadmost:::JvixxkuCxSaemo?YZfUxWYy<itIxwAyhiypivvAxMYydQrtAwvPyaqqtqvr@y[YosIvaHy[QorIve@y[aorQvhxx[YoqyuaxxXinqyubtqIoieTuqWKQyg=ttmWKQyhITumWKQyg_xSYmnau\\hxWqnpau_`xTymnQu[hxVynnYu_`xUYnoiudhxYqomQu]hxXaooAvlhxXqooiueXxTinlyTLwE=YcEsqyV@osApwHIkiysEhwFijgaSYYnYvu]X^[iooFvgx`_YpCgvVxUAooIvo`x[ipnAvnhx[Aqoavwpx]YqoQViysCxwKykeyrqgwEIjlhsYwIqx^qqqyVkitUHxDWv?tpAw?AyeaSSinoIvqXxWYo\\X]]yoyVwyXgeyrqwvuxd]iJIyhex[ypoIvq@xxfaYqYWwyxfeiRQYqxx]iqoYvw`VmheiW]uYx\\ayoyvuaXqYvwxxxglyU<XxovwyxgayoyvtQxYQYdYs=xwEYjiYt_yqYwwQylaypIwtMwGvuurqyvfXsqnqijqyuixwIykYyoyvuYx]uv?yxayrPymmifuwUYythtQxxUwwixcYykIvqYwIyxcYsqIwEqt_YQqvyhryWmyudYs[u]pEypihaypQwvyxeaYQafMpqyv=yxOxwevVXDYxYYpmYvuxx]yq?Y:jv=isAX:@yx?Xjr;BvsywUIyiYuuYx]QwMit=::hIPI:gqw;:XIiQx;\\Yy?YjuWypEyBxFYsAfysqYbxwQw;rxVYZy=sawey:::vYnY::::jyyI:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::RyBx::::::::::[Yyjq;:::::::::::WYytH:::ruZh=vX\\t=YmDep;PSoH::xvZIt_]U@QSoHjD;:sHp[hiIgUefTAR_:ZrTT[yt?IdIvGR_:ZUit@AxeIvOPg=fL::LvUUsqexj]t=Y=PC:bfkvPUItwXgmFOdp;PC:RgwfSMIsqxdMVHefTAR_:Z_DGGYrkXn=X`efTPC:bcGVGMIsshoKhcefTAR_:Znhm_?xeIvvyxeqn\\PmSitEiyrUykA:JaeV[EnZDN[@^qXpfhyrevUirYTMWtJ?tJAdJAtasf_uywSqumHRuuywSAZfqsCIr=Ob=WBjaev[qyumxx[gYb<Wb=;tV_EvxYypqIZeuwSaemoEqqpp[rJVoaHnwyxeiY:SAVW:JpCu::VW:hH:Bu:Ze=lHrt^WdHrt::Zd=:hH:bt::Ze=:::::::Jo;::QA:\\yowXXIkar=ZfiYrt:Zf=:::phsqwwEvuixciymYuuYvixxSyloit?hxMiioismWxAIfkirQGxAIfkqQ]ykyTv=XO]YkqTvIxQGvhxx[iOyxcgyqKww?IfgyqQgwyxdtWMQyhUdXAopqudpxXYOqhbeiqOgw=ifgyqQGwsHcgiqUgw;ifcypEoheTuEXUQyiuTtmWOUyjQUuAxTOvrpx\\IqmiueXxSQnkiT[in]vuYh\\YymSvu[X]lV<yxcQSrIWD=YdUsrYWJEyfITsiwMEygaDLYkYUt=xSUYlqutIXWQykeUuMXZUYmIvtQxYQYlmUvex^OWgYs;hwEYjkiucpqYWuUxZUYnUvvqhsywRIygItpyv>IygatsAxTQykUxWioiYtOhxYIpoYvuhx]iqmiueHxtvvyxeGxWmhwwREvmPsqWwAYieiXYykmsWymIV_yqqA_A^x]aYlyt]hlAVaYrHIBwCYyiyt`iuYXDyjii]uvAQtMxwQiwAYwyxgYykQwIyjiyskliYtSwGyxeItsywUiyqYwlIPYxsxcYsvvuiXsYwlidaYlIuix_iysIxwQvgYuix_IygitTIgYtNWiIusqpqYvuxxwWxHtywYyyqYwuisqYmatyywUyoarqwwmx]ImIv`Yr;Rvdysqim=JtqYwIItywMisAxvEu`yqCwuQt;:VYhytuIZpqyuqX:juuywYivyXsABxlIjuWypEyfYbydI:qiy:Jw;qQyoYxiw=tI:nywey::byjykyyInYtI:ryyA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Zw]rAX<I::ruvWJr;:Bv:vWxH::Bv>XxH:Yaj=xH::Wah=xHbuZi=tH::ruZh=:vXMIeSFIoVVMb`]U<:RnAxb=xd_e`]U<o>:Fsv`my@ojOmkG[T<:hULmPriXkmT@m=dC:brwHocyudsr`JG;:bkkW`Yit;IeSFIb`:ZutT_YuCikWgWoVVMb`:ZjxlTgvZytipkxNmkG[T<:`t>]ml=xeIvOEQGc`:ZlplMwwdyuaquAQmkG[T<:Xt=UmoUXhiYuixxgwwUu:^WiYuXypKhYwaqn_hn`hn_LR;uqxYij`o`pcF_cH_cF[^quOiyqaWiIufww=SAfWlHtPpdPalN`t>oEXeUyiASAWDMt>RnSHkuywSYy::hhqawtwhnocF_cHkb;uQp;:QA^W:::::jo;SA::VWhH:::::::::::::::::BuZd=Jo;Qae=kytXIiarMv;iA>Y:ZfExSA::::Ze=:pHUA^Wjp[sUyeyrqyuaxxTvw]xXeymauvQxSaylQuvYXWaYmYUvIXQ]yjitvQxTovs@y]QpqIvg@y]QP?IfiyrcwwyXdiiqIww?Yfiir_gw;YeeYqEgwyxdiiragw<utmWMUYj=UuEXTQYiiTtmwMUyjMUu=XSgudhx[YppQvqhxZIpoAvlpx\\AqoAvlxx^aqpYvt`xVAomQu^HxOyljYtOxwJakiAtHxwLQliItKxwLEvgx``wKOu`PxUynnyul`xZYpnIvqhx[AQ?Iheyrool=vugrpqv<qx`YrqAWiItGhwEYjmIu_XxSYniysExwKikmyuiPrewuYx\\GwCIYFxVIyhitqQwEQyiQuuYxZIygYtqQwFQyiAU]iqoqhGX<ygeYragkux_qwwutAxUmgiys=xwEYjOXJtMhnMsAH?qsEHNx[aypIwwuuNVayrVvu=lytYXyeiwIyiUwIyxcIsJt;^yqYwxYyomtmYuehoyvvusTYnmibewKQuSwtywwyweysIxuix]IygQxKuehqYwvyxe=lhqYWkiuwqtkyGyyiysmwGyjmpqYvuxx[imq;ZsAxwEv:FxxYypyYsqxwyw=:Jyiyy[vqyvAYHiuaxwQynuxcqwQyxiInYtI:nxxYyp=sywlyu;:BxwIykaqUyoyywIyyiyRy::ZxeyBywYyoiyuyxwYynYyayEy::fYyAwAvyyqyx=vYwA:ZyyY:wIqsHrghoqxvaIwyyyyyy:::ZbAwdqtPYubAwdyyyyyy=:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::pijMr;::::::::::::ru\\yq;::bu\\IxH::::::WAvW:::vxlIwk@lD?nqO]ZxH:RnAxccG`eDbie@;?:froXl:Qor?nqO]Z<:tuMMqrmxkAUBaNJYQG<D:BrsHoayuEIb>N::XVWqsqexjAUBa><D:biGosqXlaVS=RJYQG<D:RcCvIAiqehf_fL;wW<D:ReUfKAiqexjSgX;wW<D:biFxeQvnyw_AN<D:bdOvJGYrkxxeytuywUYyiYu:::Mgc;WOctNeDOatYueXuqpUqsDqePodXodPo:uqwpyugY::Bu^WZn@pcxdOgdQ;\\xkawxYYpqIiTOetOZMqs@iyqUy::Z;piuwdOgdQkc[g]w=::::::::rtVWlHSae=:lHQae=:lHrt^Wjo;Bu:ZeMpCu:VW:hHSAZf=kIuXyo?ye=iytXIBx:>YZfExrt:Zf=:::rwSqu;jowxfMp;rtZf=ZxAyfqyr=:fwxAygUxYiykYu\\YouyuaXyQyliyrYwwuXaeynAVwYxVeYmQuvMxSeymmuvUXUaylQe_yptqvtPyaaQAIgkIsaWxIyhkYsmGx=ieiqQ]ylae^ypqAvfpxZaoqYvp@y_QqqIvjpx[Ipravsxx\\appIvjxx\\ipqavupx[YpoAvjpx]yppQvplR]YmAVuExUUYjMuuIXWQyjQUuIxVUykaUtuwQMyhuttqwPAydesrQwF=ycESrAWB=YcEsrQwFotUdpIgvqxcaiqWGw;yf<hpiv;axZaP<VuUx[Uyl=vu]x\\YymIVviXaYYn]vuaX_]Yp?ydYsqIwCUucXxUquaX_WwHQylyusmuax^KwAYhCokytWXxUIovUFyhqtrawLYymQV_IrDYjeyrmWw=itQXqyvRrNVxgkyUVymQVaAAIyeissQn_x_YYAQtMHCAsYwGaciyqEygyssYwEIyeisPYm;pyvAitEykYusiwlytYXxKu]hoyvuix`ayqawyiysqyvAywAyhayqYWiIusywSQueHOaeewOAuYx]qxayyGYXyxeYsqYvuxxSymyuuYx[QvuHWAsIxWIy:pXyiiyuxpYwgyt=ZxYypiytQXoatYXLit=:waxYyoqYcYyoqx[m=LiuaXqYwuAnYeAZpqyu=lYuuYxYYywX:JvuYx]ImqxaYyqIJwgyt=jwgYrywYyrywiyjyuiyMyqYyuYxCy:fyyqyw=:yayyyy=wax=:jyyIriygkKGd]GtKitry:::ZPqtUAobHpPqtUyyyyyy=:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::pijUx[qvAyx]Yr?yjUx[A\\IkAZsIXBx:YQvyH[AvWRxZrmvSx[Qv=IYQv;::::::::mA>Y::::::ianplRonxw_`pii:ZJYrc@pIpc`piinN:JWMtv<VOyQMua`<:<VOyqsuXlYuEeOMuqQTD:RnMHhUIt;icwuEG?:ZCYq\\xwdIvnplR[`<:<FBmgg\\GgYTD:BdKVLAiqexgifPbc:ZkPlOWvXit@Ap>pnxw_`<:<F[yt?YwYisGgYYcc:Zj@lMGw^auuixemp?Yuyw:jsuxlytOQtipOhxohl?<s@arsyxl=PipOjtohJQitLqyugyriWiA>yguwZrmuqhqeo]Hl;eQuDRZxPqlhyqiwwAY;eQ<@bo]Xluywvxg]wEu:fwA`j;@fXgeZKe[giYZqaWjp?Yjumhr]gEx>YjumhqaWkIujuCxZqMv;:BxvX::XIkAZrmuswZr=XI:Bxrt\\IkAZqaWhHQafExvxe=Bx:QAZfMpstZf=:::::rwvXfWiASAVWiIu^W::nyraWjp?ygMp;:UA:jvuXyayqGyjqysMvexxYYnqYuMxxEYhmYrEWxqx^eYoAVwUXVeYmUuvUxVeymmUwUxVeYmeuvUXWaymiuvUXW]YmauvYxY]YmiUvMxTayleUvUxWsgHXT]yliuuMXVYykQUvMXUYylauuIXUYykQuuIXVYYleuuIXVUiq@y`yqqavsxx]Aqqivxxx^iqqYvs@yaarqivy@y`Irrivyxx^YQAyheYrcWwyhfcyqYwvsPsawK?uY@xMiljatP@xOImkytXPxRQNsHdciqYWw=YgLxXOvthx\\IqqAWeyrqOmIvuax^YYnYFKxwKikmIu_HxOimkytYXxWQvixa]YoqvvqXd]yoyfeIttAxTQyjYusiwNUuahx]Yqqyv`YqYWvmxbeyrugmQvueroyukXxYyoqIwhysExwMykOxXQykqUrvAyxayrLIcyrHYk_x^Ml;JxUynqYvuXxQymmyt[viXvVgqx]iwIyiuwSIy\\XxwVbwMIygYtRymIvwyxcQvuHlYuehpIwv=Oqu_YOYykiuwQtuYxYyxeYtGykUx]A\\YqmyumhrEykYu:XYpqyvAYymyv_yrMvSxhYuqim=qIwhixYYfxwQymUx]YymA::NylMs;aqwCykqxeIoAVyx=xyxiyy;:Jyiyy[vMx;:tiuqYmiysavAY:uYxFYuYxpYwcxVyyux^yy=:RytYycy:tIpI:vYxI:xyy[xMy;:yyi>O\\hd]y=:::TGK_Pmysy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ZwIykUx:::BvuYx]ak=:JrCv:::::::::::JvgysAXmAZr=`IBx[ai=mA:ZrAXmas=iyvOYdMFMgFUwbaeuD;GXYCbkuEMgZscm?xdQW[;tdEFJ::iga]EjSg[QW[;td:Z=qoBhxkAwHIqKXo?@be<:TUGaPfIw`it<=nO;:bluwcYit?YhqfSQW[hD:rjXrsuXlyvVIsOQRZhD:J@EokuWeiuHYpOQRZfJ:RgkfRAiq\\vSmrOQRZhD:RjSg[SyswxvWIsMxfQVk[G\\EHfK>bmuWa_YuCIyiYu\\YqqYv;vsEYrZhmS@hhggagf^wf__FZ>Art@uMasbof_?g`gFNpiHowAygExUAnwwUufW:ZdqvVAg`CTZl<pICVZyETGUSK]RYtEiyriww=::PPjXOSplLdLLhK]AVU?YuA::::::Jp?yg=lHUAZg=JpCu:::Zg=lH::UA^WpH:UafMp;UA^Whxx_WlHrtZf=::pHBu:fWpHSaf=pHUA::Xypqyu[xAyfiyqeylXy;fWkARu:::::::nwxIygqyseytHrudixQylqysMvmxxUYmmYseWx=Yemyq=wwiX]eynyUw]XWeynAfdYrsyVXxWeYoMVwaxZaymmuvYXYaynIvveX[aymqUvUxXaymuUvUxWgvt@yaArrqvw@y_QQGYiXxY]ix@y`iqsAw<Ay`yQ\\UvYxZ]YmyUvQXX]ymAF=xwEiikItEHxGYjvQOylTX[]yn]VvYX\\KuMXXUIeIr_GwttsiwMEyfETsaWLAyemSsawKGu[XxUynmuecyq]OkaUt=xTUykiuuUx[UYmIVuOrrQwFqXGxwMIlkytYPoqVuUX\\]iJIyhqtrYwHAyfITYIpmasuooyuiXxUIooQhOxZIyhUxPWw=iuaXqyv=YxYqvGuuax^UwEyxayroYvsPreWxMYmiYtCwVx]YylIvuYx[ayoqvuax_Uwli_aYIacUwGaaUwIAJugyrywvyxdUwBtsqnmYuaHOIygItuYxYiyqIwuYx[IygItsAiitXivyXsywQaeiytYxxEwwixciyLyxkumHSA\\yp?YXypmYvuXyiytuywUYyiyt;gAJxgytYxwAyiiYpI:ZkmrcvwixcQxYYymYv_Y::Zsmv;:oat=:::jwuiu=::vYqyyJxCy::bynYoat=hIqQymYyuywyiwey:wQyuiyqYbynywmx;byxIyyyyQyky[xMy;xuYUF\\Xn[y=:::TGK_Pmysy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ZwUvFX:ZxIykiY[aj=@yxcymYvwawUv>xwEv::FX::Jr;::]A>Xjr;[A::::::ZiiysyW::<yuGwSxhoFjNSZ<::TuKyq:MO:dRitj@APCprjDKC]PH\\sqTlLQR`LUIUqLuQWPTyd=ht<MnRmraTVSyruEiniw[Ir]Xhk`kIGpFxC:fpQ`fk`K]?:ZFyqdxwdQvxHnkGpFxck<:TFaiuDWYesRmra@E:beYVPAiqixi?wV]G]@E:bhuVUAiqixliG_]G]@E:rh?WXQxiQwmAxeWhjWWm=heUXjJaEVQIw^YUqexjiYuqxx]yqMyqUXUIuP]qtHqqlpoxPph@:J<ArxpYvuXgQWaAQqpprtppJ`YVZqYvuxxoW::::FhhSVVgcwff@o[hyrUyfhkOgB_bxFanf_EqruhyriWkqx[g=tH\\Oc\\nJhkB@lG@K]AvUqYvuxx[giYbu:fWpH::::::buZg=Jp?YfW::::::JqCu^W::::::jpSu^W:lHUiypxx;uqpuI:wawyXbyfYJy;::ZfqYRu::nWkYufWJq;buZg=tH:::ruwIxWahmqGyiExYajUxtYwIitQXiitsyvwHy[ioqIvaxxWimqYuMxxOijqit=xxQikmItygxOijqytIhxQikoitAhxOIkhX_]YnuuvYXYeYoYVweX]]Ymmuv]xZaYoYvv]xZwvxHycirsIw@Ay^YqsAw=AycarrivwHyaIrsIw@eswWxKikmItExw@Vv]x\\aynYVv]x\\OwDAyaYrrAw?utUHxMykmIu[HxMiliis?xwEiigirkOjMusqWPIYhcpGwvqXdaYqQgvohcciqYGwwHfeYrgWwAyheirqgwGyjFrqAwAM]UYmAF`ypIWveXakvotsiwLAyeexYIpoIvsPpIwvqxceiWevyXxNyiIutAXVvuax]IYdyrqgmEyXxwIyjeYriWwwuuax_YyoqV\\xwIyjGxWaynivvMxQIgqwMylWx[aypAwvixbayoMu]hp]cmomYuahpIWdhpQWrwOIyiIuwix_YykyusiwMqusw:SIyiytuIxpYwEYymyuOymiYUIydhriwvAYsQqqiiiyrqWmyudysOymqyvAyxayrUytywQYx]Yqsu\\yqGYuQrSvuYx]AjwsxgiyqYwwqtcwlInyw]t=:jwgytEygYyqIwuyxRwfX:JuWypEygiyXivqXju;kQx;:uqyuIJxyIfYpI:By^Y:nyxayymy;:ZwMyky;Jyuix=jysyryyAJycyri>O\\HyamYxnAwbQwmYxnyYxI:bo>OTGyasIytAwbQwgiwiyyyyY::::::::fwgywbAwd]yuy:::KIt\\XnWXjy;::RxZbmvaYwyyywY:::`IKabmvsyvY::::::::::::::::::::JnCtfWry:::::::::::::mabMnSxvYxI:::::::::aabMnSxZy=:js;Kaymy;:::Rx>W\\Hmaymy;::rvZbmysy:::ZsMnCtFYxIyA:::::::::::::::::ZwAykiyrIX:mas=wYx:::::::::pIby:::Zw=tI:uAnY:jx?xxEvRy<yx;bynY:pIuAvXOY`iUGRZ:ZcHl^GjN?Z;<::Lt@=p:M_;<:ttD]puEyniYuqXvEynuwbiUUesnPso@lGIqPhssp<JMyQY`t;MnNIR\\:dvX]TrexkEvMmqUMshXUDq?:`VUUStuxlQwZAtUMshXE:RfaVRCiqiHkKWYiG_XE:biAGXAiqixmqw`iG_utg:::::ZvHnpwv\\Quuqxfyv\\IuBhj<phnOhp_H::yEYoUheweuIxWQvuXhYwa]QuLQvTQtHQrtP^MvWqihiY:JySykqx;:=s@]RB@;xr>yqx]ixMfDO^jJrk=xgwIxYiykyuuaw=tIBPZ[J]cykiuuaxeuRy:pxx]YqKy;:uqpuIwAfYWagiYWiyJqqIwaxmxSypHbuwax=pIuax=pif=pHJygWfYpIwax=jxSy:nY:tIuAnYpIuax]q=wA:JquIfWJqSufW::::tHRu:nWtH:UAnW:::jquI::`yq[rmvSx:::BvwA@YyeYsuYwEyxgwwix]aykytvywKayhqsuEmqYuShxQYkqIuKxxSIloitCpoUFIpoYVwqX`iYpeVwax[ai?QyfYssIw>IybIRQIloytMHxKIjmitKXxMikmIt?XxOykoQ_aYnEVvax\\ayoivv]X\\aYo]feasryv<IydAsrIwAAycyrsQwEIydQsrAw?m`SlmytWXxSimmytQXxUYnmytUPomvuQXYQYjMUt=XTMyhqTtyWRIyhmTseWMIyhmttAxUMYi=e\\Qqoavwpx^iqqyv?AYXymMVveX`]Yp=geqsrYwHEu_XxYyokIu[XxWyoRxUinmYu_HyciroYvuXxUQw=yfiytQHAYxUIo@yhiInvuurmqdiYtWyoivvqxaYynex_yqHiuiX:qYwGyxaYrPym;KacaypMuaHKadMowxeaYQaduwpyvgyriwvyxeaYSaf=pXxYypCuuayaysayriwwyxfiyrUykiunWjq;tywMyyuywyyxayxayq;pyv=yxGxwIyk=:bxpYwgYtisyyxaYuyxyYyqAwIykYyqIwdysqI^XoIw:hYtWyomt;gqw;:Byrw::>yxaY:ZsqYmiysavmxSy:oqxeI:xYyqyyKy;Jxoyv=:pIuAUYuWIdIWfKwc]WuUiuyyyyyytyyuYywyxuy::yio>OptPUuyyyyyEbr?YsEXkQHdKON]tRkYyU]qxpyHyAboZPMeUwg]DK?^pn`q\\Qv_yyyyyy=\\Xn?obHpylyyiymYCd>WxIyANv\\ivn`pv@obHpb<LE?aymy;g`ghop@obDdZyLn]Xo]hdAO`uVAvyyyyyIUqqqtPUE\\Dg`betrivYxIRxVsEAtb@ok@O:xEUayuy:g`bLesyvY:jYCd>WOyyvY::JnCd>O::JTSkExlsHq;yyyqy;:Rx>tJitghop\\b<pDghoq@yA>WjYsyvY:\\H:ry:>W:jy;maE=\\D:y_g=yAbo>OTGyay=:xEK_bmysyfW`uVAVN]db<jYSuvYyABqsHrKGd\\DRuUyugho\\Dg`ymy;Rx:>O:hv_=wsIYtUWeiWNCn[XoyyyxIs@>OjpCt>OxEyay=`IBd>O:xEUayuy:g@nTxIyA:vQ\\DKaymy;:::::::::RymivuYx_A:::bymivwA:::@isQXDI:::]akMscv:FXJsSvFX:::::::::::>ymYwSxhpFjN?Z;<:HSr<m:SZ::ZY`jLGjN?Z;<:tTEaptyxmAYpMxmIxgUxjaWlyWf]wbQvUItyHspXl:MO:@B::Bj]w_[ytAY`iUG>Z;<<sl`KBQpFTUIQQtyXmEVO=RBQ`JlIYqSxsuH=Pt<mNlyWfEuCuoIYqSxCbbseHWW\\WDhqVUCyqihlgG_WW\\WdeMfM:::::BgkfTGirmxxeYucF^OfSAuQYdLCtMODKRPeTMkF_SvmQxjwqqsuJvyx]Af[V]KF^UF<vkD@jxAyiqyrmvSx:[Qvkq;DXhIwJhkB@<r]RxYiykiuktNMTBqR>=[AMyayqGYnWmareymiuvwRWdC[[j];wYxYA\\ItHYqvCx:ZsqW:jqcuJv;myu::ZhMq;:::>yh=:mAZr=`I:Bx>Y:::::::ZiExRufWtHWA:::::::vWJqsu`yq[ryWkasmv;:::<is=>X:::::::@Yy[jMrSvJwCxQQsiWxAydmYqyvwuXa_wDYyfQSUYmqiuWPqufgqsuiwEYyfQSWymqYuSxxWymoiuYhxSImmytMXxOykoYuWhxSyloytOhxQylmytOXxQyloYu[XxOYlmitMhxQyloytQXxlVwqxaayomffyssawFIydAstiwKIYSXxQImlxaaiIutUhxUYnnSUYnpXcaiMIY]PomvvmXbUykeUuExUUYkaUtuWRMih`xXAP;IgeyrqgwCYigQYYi@qx_IrrQwFAycQSMqvqXdYYoivvmXcaYqQwvqXdaYqUWw=yfaypQwvqhtQXoivwXxWYoxhvix`QykUxWio@ivqxdUwGYxYYpoYvuxxeissywOyxeisoatQxZaypyvvqxcayqQwvixaQylyuvEtsywQQuehq=qIwCIydXx_wvEu:JuaHQquqHUYykYu:jvAIaQvyhrUytHYqvyHYA`Yr?yiqyvyXXyx]yqqI`YrSv`I:oivuix_AZmqYkyywyxtYxuywUyxWxwQYdI:qIwhytqywMYygXPI:giyqA::^YwA:\\Yy?Y:::`ivmxaI:bxwYy::rxpyw;nYwYyxYywYxyywYwQyqixaYjx;`uV=VNYtR=WbwyxqYryZxqYry:`uVAF<GxiydkK_nLN]Dvqyprghop@obDd>WOyyvYTGK_nLN]dglYyU]MUTmE\\Dg`ymyCtKQNsiTvysyvQ\\DKQoyIyaVauZ]bLTsi^P\\TN?OlWh=xycr>obHpbLTsiFqsHR>O`ErlvYxIQxl[HdfOjpCt>OxEyaymvShmWjBdFQxuY?O\\DU_giWyqyKeCdnTxIyA:vQJnOwymy;::KabLN;:::RhFysQyyyYyAFY`EK_bLT;c_b@OK_Emysy>WjYsyvY:\\H:ry:>W:jySx:>O`Ey_bLNSe:xITGK_Pmysy:Zy<\\hdyYpxpgOgGd>OxEywipDReVxmaxymyCgcGi\\dnlYsynT\\Dg`ymy;Bn[XoKGd\\Dm?^P\\DU_n`PBqZyMT;c_ylyCt>OxEryFYJNCdFQxEK_blPSuvYyAg`bLesyvY:jY;KQoyIyA:::::::::ZwuvuYxaaliY:aANX:ZxIylmsuyvEI_A:VXJs;:aANX@I_al=:jrSvNXDI]AZk=::DI:RvJwAYyeImANYjv?ymmuZ;<:dRk\\k:MO:@B::R^WeE=FO;RZ:ZhlsuXmuTC=pEMQTTssHMEIqSPssDmDIQSDXiYwbIvNARd<j:;:Rj_W`[ytCY`ieGRZ:ZhLtyXmiUKMq:M_;<:TssHMlyWfisvXm:M_;<:TCBgqVU=FO;RZ:ZF`fSVmqo`HpfUFjNSZ:ZMTFKIssHyiiu=s@@<RIiSEIXjkgymIv`Yr;::@lG@kJ:?VYaeymIvwA:jqGyi=ZAIrqH>@lGZehnUpysywxMfFCF>XFwYxtI::BPZ[j];wA::::<Iru::::nwx]ryW:Jq;YahMq;Yai=:tHWaimqcuZi=tHru::nW:jq;:bunW::jq;WAvWxH:ZsyWkiu`yqGYJvyHFY::>X:<IYai=:Jr;YajMr;::::RvwYx::::NylqysQXoatIXkyufwwIygiynIvvQxTaYexxUYmnSWymqiuY`JYyhATYYnqiu]xxUYmvSNyhAtuqWqqbeYpqvwuXbcnqYuYhxUimqiu]@oYu[hxWinoIuShxUQwmXaeypuVwuXcgwJIyfistqwMQyfqS@WwqXceypAG`YpuVwWttqwNQyhittywPQyhqttqwOIyfAtsYwIIygITSInfssawIyx`Yrpivyhx]QqnAvnDraGwnx^iQpuuUx[YynwxcQsqul>TSYnmIu_@tXeayq]wvuxeeYriWwyXfcpqQjSqmyukxxHxwMYleYrigkauviXsIwCix]YqoQimYuaXxUyniysIXwEyigx`iyrEyhxwoV_yq>wwAygMpwxemmiYtIXxUYoqYvqHRuJu_ypUyiIunwweu:jvyxx?XkarmvyH[qvyHBvvwxYynqYcYyoYvuYx[akUx]QwgY_A:ZmqYxyxeYymyuWyomtqIuqsWynqY:eiy::JuWY:::lyvyYyqyy_YlI:::uaw=ZxiytUymiyuYxZtMw;rxwYy::xYyiyyqiyEy^Ypyy[x]yqywmx;lwguWNYdghOyiywAxI::fwgqwb@ok@OHysMIxEBdnTjy;Q`blPkywYTGK_bl_ifsIytyyyuy^U\\DK_g=yItKQNsiTvysyvQ\\DKItxImaghop@obdovYxIbo>OpDmYxoYkExlK_JmysyZgiWmoZ]DK_PmysyvQJksyvY\\HK_ylysynT\\DU_giWyqykvShm?`uVwYxIg@nTxIyA:vQ\\DKaymy;::KabLNsyyqy;:UaPmPqdblV;yAnT\\DU_bAWyay=\\HUWe\\DKay=\\Dy_ymy;Bt:Zy=Jn;:yaP=pDUayuyRxZblVsyvYTGbovYxI:ri>O\\HyaEMNSkExlmYxoyyvYj_;[@vY\\TNAUNSxmAxIg`bLesyvY:ptP?ODHryZ\\mPqD>O\\Hry>O\\DmAvY\\HK_ylysynT\\DU_g=yAmasLNShvYxIg@nTxIyA:vQ\\DKaymy;:::::::::RyHyxWX:::::oasYXmAtimexaiymiv`ysGYNX::js;_AZm=:DI:::::::::::JvIYpasuT=@B:::B[ot<=FO@BB\\;e?=FO@B:beFxfivSxhpZ;<:HXiaWtyxmARdFJ::LvTmSsqXmasuT=@B:be^XGih=wV=FO;RZ:ZP<mx`mEH=FO;RZ:ZP<kHgsfU=FO@B:ReeFTUIt=IhyfV=FO@B:R_aeFUYt?YykIv=s@]RBZ\\iuOqysIXmA:[ajmrSvrLEtH=s@]RBVc?cymIv>X:::ZIPk:H^URBZ\\EowYx[iy>eMGc[jJrk\\EYqv=Yy;:bZuuV=s@@<I@<Yy;:::::::vWkyuvWmIv\\I::xH[qvCxru`Yr?Y\\ImAru>XBxZs=\\ImasAXxH>Y\\I::masMvkq;:FY::::Zj=xHBv>X:xHBv:::vWJrsuZj=:::::::@YyeyrOY`ImANYdIJscv::::VXoAciyqA[YykYuuywQiygysuIw;Iy_ipqyu[HyYinsIvcHyYYn<ycmYrMgjaTYynsQdmyqMww=YdiYrUwwoTPwwyXdiyqIgiaTPwwyxd;chxWinqiuchx@wwuxciYqQWwyxdiiPQyiiTbuc`MuudyqUww=yeeYqQwwyxeeIoqdeYqQwvmhtywQEv>xSQyiAUdWwuXdaypMwvmXbayoyVvax_wv>yx`YrpeigIsugwtUuMXYov=yxbASMilkitUHxSYnmYuaHxSYnoqfaYqUghqttIX<YheiVQYqxx_IrqqjeyrmwwIYkWx\\QylyuuUrqIwAyxcyrHykmiaUwhYtMxwGVeissIxlicYynMtQXxYiwAYsywUIygItqIwAIy`xxaYrsu\\YqqYv_yoMukqqyvyhryWRx[IykYuXiwIyiUxpyv=I:]YymANymiY_qvAI_QwEI:aAZm]xayqqyvAyxYypuxcqwMyxiYtuIwqtWyo=:JuSwZp=PivmxeyyqywgYtywoYwaxexwQw;::rxVY:ZyEyry:Zx=oauqYjyWyy=By^Y:jxyIjywyxqYwYytIfogppbxnkPv[avyqyxuyvY::[HneHdfRxyywYxEriTvysy:ZyLNCqvYTGK_glvaiymy;boZEmyCtKQNsivYxIy_bLnsynTjYsyvY:jVaebLhsiygkK_\\mysy:FY\\TN?OTGyyyxIy?>WjyCt>OxEyaymPCdKOnsyvY:`IUWejp[yqT\\Dg`ymy;:y_bLn;yA::>W\\DK_ymy;::UYupDboZymP;Kaymy;:?a?MkExlyIKablYsyvY:\\H:ry:>W:jySeZbmysy:FY:pHyqyUGK_Pmysy:ZyLNCtZ?irEAOHIry:NV\\Dy_ymyCd>OxIyAnT\\Dg`ymy;Bd>O`Iyay=Jk;K_b=xIK_blysyZbMNsiZymP;Kaymy;RxfOjp[yqT\\Dg`ymy;:y_bLn;yA:::::::::ZwQynexcA::::::VXoyv:^XoyvVXRxaQwcxZs=dI:mANY`Ibx::FYJwSx:FYNxxuvdIHINY`ImANYjv?ymiwSxhpZ;<:::Dsqxl:M_;<:::tDaiuIy`kuG=FO@B:brwHpayuIYZFJ::`VWATt=YnasuT=@B:be\\prmxl]uIEA@B:r`qEJEIroHaoUH=^;<:TCGirqxgwVV=FO;RZ:Z^pjJowdYvs@nlGjNSZ:ZZXjFOxgyvwIykI^UF\\[JfHo^tilUx]AdYsGY`I:bxpSFyrJhkB@<brPWyayrSv`ImA:NYrLF>]RB>eM[k]xIYktN@<=[AQrspysIxx=BvwA@itu]OVZ=s@@<Y^xQYwixFY`IoAFY:::JwKr[s]j=:@IBvZk=:<I]A>X::@I]aj=Jr;]A:>Xjr;[A::vWJr;:::::Rv::FX<I[ak=jrCv>X@IBv:JwAI]AdIoas=dI:Rxbvwix]QwAI::_al=:::HitQXjs;::ZuaXrxeapUxYQvmxxUYmqYtAxxMYjSpsIvcprYgkqtvAxPaykIuvIxRayjytvQxSUvmxx[Yo<yeiyr]ww=YemYrYww=YfiYrYgk]R=TwwKrKfsooyuePr]GhINuuIxTYyjIutuoqIvmxx[ipoyuipq]WwyxeeYqMww=yfspqIvoPrewwWuueqqivw`YYylexYIpmYucXxUinkQaGwCyXOxwIIk\\x]YymMVuUx[skkQ`YynaVvmhriWmYuchxYYpmyuiXxWionutupoQgOXHYksqoYvuxxcYsPYmOxYuv=IyTXxQYmiYtKlmytYHKIygitsYwIqtYHKIygItXyosusQo[pIwvyxf=^YUIygYtNwwAyhiysIxwIYJvyhqawvut`YrqIdImasQxwQylexFyimrOYdysqI:::^xxYypuxpYwoytaXPYygX::TIgA::lYvgYwAdIqiyZyiYwqv_yqEy^yr=::Ryfys=ZyiYyiysav=jxyiv=nYtiuyYqavyYsA:Zwmx;Zyuywax]xAtJ=Qxl[`xMyyIxI:^pnXqb@O?aymysijRmGyyyyyy:ZVMNGpE=TGKGd:xI:rv>obHpnlyyibAWK_ydkyaymYCd>WxyygRJhsyvY:JnCqsHrayvTGBg^uVAvbAwdyYxIriZPmysyvQJn;yabMNsivYpxp?obDgvYxI::E@nTJeCdZymy;:y_bLnsyvY::JnCd>OxIyA::ZPMNCgZg=:xI::::KAvQxIyAZb=:xI:KA:fWJT;yA:Z?=TGyaPMN;yay=:xEK_bmysy::fWTWe_pn`qb@OQ@vY\\DK_ymy;g`bLesyvY:PFriNv\\ivgiwiyYyABd>O\\hd]yMNCdvYxIBt>OxEyagMNCgvYxI::E@nTJeCdZymy;:y_bLnsyvY::::::::::pioiytaxwEwfXJt;:::::tYwMI::rvZnms;cA:Zm=LI:::aA^XHIBwVX:HI:::JvMypasuZ;<:::TTAEp:M_;<:::tddgxkYwdhkOGjNSZ:ZRatHaVqXZcl:;:rpehleYvOY`ieGRZ:Zb@l]GvXyt_@kKGjNSZ:Zf`laGw_yuVPisFJ@B:b_vv^quGaqWHjNSZ:ZPLjmWeAuFmp:MO:@B:BgwfWcYvMiyoivusGUSBqR>QTKtYwEYyOX:jriTMqSyeInY]IvSIsusGU;=[nwg`oytIxxevNX::vr<Qq[V]KF>j]cyoQy[kAeMSBqjJrkdUyeYscv:ZkqYxR?ArJRBvKtIwQs;:RvjvEisIXmA:::::::::::::::::::Bv`yr;[akmrCvZkMr;:]QwAismv;::::bxNYjvSxNylex_akex]A::Zl=@I:bv:NX::::::HYyOXDIaamMscvVXHI:::cAjwMINYhYtCwfX:oariWiituIw=IyaiqLYimysiWxEygmysmWxEyfOxTaylQU:hgkIuvepqivoxx_ypsivhyriWxEYhiyregkQuvIxUYykuxdwwGuuIxUMhiYsmwwWURvs`UmgOxWYyliUJi?xSQyjAuuQxW=]IqDyhWxYevhiXuv;yxxgmAVaQxIyjiYsyglUxWiomiucXxQymdX`]YoiVveX_]YomvuOsrYwGAyeqsrQwHIygatsawLQyiIutywRQYkpruGsxx_iqqqjeYs=xw?VDxwMykiYtMxwIiuax^ayqQwvqxbYymQVeYsXivutPIeisTIkqx]yqoX:ByiYuuYx]qvyXxkugyriWmIvdYskxayrmyumXx]iwAYuawQymex_almsGyjEx:NyniY:tinux:eYymAtipuxeiyPI:bwnXjuWyq=sywjwkvCywQw_Ylyu;:kQxkvuYxaIZwey::diwQY:::hYysywYyyAwYywiyqauMxyiv=::pyygY:Jy;byaivcIdKONsiPvYyu\\;:`uV=fbDghuyyiy=xEBtvYxI:Bt>Oxe@yYTGK_Pmysy::>O]GdvY\\HriZymYCd>WxI::yA:::vQJN;Refr?Ysn`PKGdTGryvQJnOWvY\\HK_yly;:ry::nT\\Dg`y=\\DryvY:jYCd>WxIyA::>W\\DK_ymy;::rv>O\\DUab=LevptPYuPup:::sHqxyy?WjYsyvY:\\H:ry:>W:::jy;:bo>OTGyA>Ojysy:ZyLNCtvYxIbrVsEAtghop@O\\DRefwguyxI\\DK_ymy;g`bLesyvY:HIcGgsGdKON;BgVsEAtbLNCtdHxIK_blysyZbMNsivY::xI::g`bLesyZb<xIyA:vQ\\DKaymy;:::::::::byqYwuixeYy:nyuiXfY::cYyPIeA:::byoIwdIPYygXLIcAZo=:LI:eA^X:::jsOY^Xjs;cam=LI:aAkIwWY`ieGRZ:::Z:QpTHjN?Z;<:::tDgivSilgw^=FO@B:r_iEImVXuSZcl:;:GFQSRtEyqiyvUY`Z;<:PrgljLqrjTrghj:M_;<:<uEeppeXlmSw`m:SZ:ZPLnQxiqxmmw=uOA@RdFJ:PBCG];e[qt<RZ:ZSAt:YyqyWoivYN;AlG@kJhkBLWb]VyeyscvwixrvuF`[VBqJrmxluYwIYy[latJAs[V]KF>jOUDHIaA:BvQIsusGU;=[<DWwixtilqYrvktNOTBqjJrknysQXoQyOX:jsyR?ArJRBvKtINX:::::miv:Jw;mANY:jv;oA:::::ZsIXbx]akMs;]qv;oas]lMs;]QwKsSv:Zl=::::::::HYyOXDI::::::::rvZl=HIaA:::::hysuYw;bx:VYhILIcA:ZoqyuaXjt;:::gapEyiiyoivuYxWYyeIsuIwwXycYrRycIrsyvwHyaiqPyjmYt=XxEYhmYt=hmyuvYxXuv;IyaiqLYj_xYaymiuvQxWaymyUtG?IyaiqHYiOxXaymmsyGyPsuGVX>VxwwII_iq@IpWx?V<H=Qs=hlyuuYx[aynQvuYx[Mlii\\aY?yxcamIVeQxMYlmYtMHEyx@XwyxewwQIygYtsYwIutUHxxfgaTWYokIu_XxUAgPqYWwAyhaYqYwwII]QwAiuYx]YyluxDxw_vuax]EwAa^ayo]dYyoyVLhpIwwAyiaYbsPymqYvuH]quqXxQivUtnWoiv>xveusiwOYykasMwEitQXHYx]ypmifiysAxwQymiYaanMtuywgysMv=yxeYsKy;wqt;:gYymivZomtcwwyx:Zv]q=::\\IiaqMvCx:ZsEy:ZwIyx=bxwqv;oA:Vyx=:::xYyKx;:::uaw=::JyyIxiyTkKGd\\TN;::ZPepyyyxIriZb=xI:Bt>Oxe@yYTGK_Pupyay=:JNCdvY\\HriZymYCd>WxI::yA:::Z\\=xuYgogppbLN;boZymYCd>WjyCt>OxEyA:Zy=:JeCdnTxIBdZymy;:y_bLnsyvY::JnCd>OxIyA:::^pnDdKOh?vb=\\D::::y_yMn;:yAZb=:xI:KA:::vY::TGK_Pmy;K?vYxI:ri>O\\hdyY`IywiG@K?Zgl_iVbIIyay=\\DK_ymy;g`bLesyvY:jvCqsp\\Qv_yuYUF\\D:BtZyMNCdvYxIBt>OxEyA:Zy=:JeCdnTxIBdZymy;:y_bLnsyvY::::::::::tyw;qA:::::eAZo=:TIgaomt;:gAfX:::::oIwwixcqwsxNYjw;oAZtmwsxNYjw;bxNYkYwYY`ieGRZ:::vlnsnQXi=FO@B:::be>ynqwtyxjqljW_;`D=>::::>q\\XipYxgIypywSxHRZ:::::Zy`oDPxhIwWPitFjNSZ:ZP<hYvAYWATt@Rd<j:;::::yWeOFw]ituixaQwIYrqXmin\\lmJhkBxlNxkOYtI=YpUXkuWfyR?EB@lG@kOomxQynqYaiyZAQRYSDyRBqjJr]DRkuWfuYwMI<YpUxOUTIylNx;@<?>nYcydGwaktNODPadLYSDjJrLEDIktNODPZNAtBQvXyt[V]KF>:::jAcyoQd=W^ErxLQ;qQttIwqs;:::::::_iyjs;:bvNXHIbvVXJssvZl=:HIaalMs;::aam=DIrv::::::NXjscvZmMs;aA:NXjs;:ZuYXoat=hIqANYjwMIcam=LI:::::::::RwhYt;eA:::nXjtcwnX:jt;cqvuXyYYogx\\iyoaVeirLYjqYuQxxMyiqYuUhoQV@xxQYlKxMYjqIPYkcruQmmYt=XxQykmYtAXxMyk_x]MkmytMXxMyjCsLIDHbrLYlsrHYj_x\\UwEIycyrPyl[nMtIHAa^UwGQtMhnivvUs^VeaoiVeisnVcyrfVgYtsYwGa_EwAyx_iqoIvmhx]IqmiueXxSInlXbgwLIyhex[ipmyukhx]Yqqivyhx]amQvtIxXYymYVcqwIiuax`ayoAwuix`UwIabaypIwvyxeaypQwvqXuIxWqucwKIydxxaYrGYsavqX^wxEwuqsqYvyhqYWiYuFxwYYuixcYyHIWIyiIuuaxYyoMtWYfxwQymUxYYykqxiytuipMu;:^YuixaajiyuaxxaYwA:::Jv_yr=rxVyoqyvmxaivMxSymqx;:Jwcx:::Vyx=::xYyKx;tiuqYxIyA:pIsAfY:::JykyCqsxqKGdLeu@wbIwbAwc=Nv\\avb@OK_m=xIri>OTGry:ZVMNslQHnyaPqTK_?mysy:ZmMNCgluyCt>Oxe@yYxIy_bLnsyVsEEd^UxyywY::::::`I?irEIgcGiKGdTGyaymY;KQokyCt>OxEyagiWK_nlysy::VSJe;g`bLbsyvY:jYCd>WxIyA::>W\\DK_ymy;:::y?nTHysMILEg`PqT::Qxl[@E@>WjVaeyyYyAZb=xEyay=Jn;:UA^PxIyA:ZE=TGyaPMNCnZy=:xEK_bmycoZblVCn[PkExlyIyA:ZbLNsyvYJe;[`ymy;:::rv^uVAvbLNCtZyMNCdvYxIBt>OxEyag=LEry::VSJesynT\\D[@vY:jYCd>WxIyA:::::::::ZxYyquxgapmu;rwnXTI::::rwZp=:::jtWYnX:PI:bwZomtcwnX:PIeAnXjt;:::JvQyqsG=FO@B:::Ag[[tsEIr=^;<:::ttEiPvQyqqYwMyrixjmTA]o:SZ:::Zn`miOxhIwvAymQyqIxU@irFjNSZ:ZbhkVWmr?AFJ:JDyPO<YpYxuIypqSwdm:SZ:ZP<;IykyvTYr=VOEr=uOA@B=>::vjWg[<yoF`xjQwvIymqytaxxEwBvSisGURmTBqjJF<:ZijAeR;CwwArxtYwQYrmXmMqqTpJhkB@<:u[[jJ:kL_Xv[iUyeYtCwdiIPk<H>@<:::rkhUkuWf]ocdNfrEF>@<u[RWdD?EjOUtIuYwIyVMuPUpj\\oH]SBuYwMYy;dI::::jsuYwIIcAVXJtWY:dYt;aAZmMt;aqwMIcamex:cAVXLIrvZn=HIBw:hI:oIwZmmsWYZmqytMw;rxcqwIiuMwksCwhYt;rvZn=:::::::::jtWY:Zn=PI:::::gAfX:TIgA::::JxUYymIju_yp=XIVypuxeanex]QvqxxYYnqytIxxUymqytMhpiVgYsju]H?YygysTylgx]=bwGYyPxxUylcs^vvix^iyoivvEsnvwix_]vqx`ayoavw=GIycyrsqkgx`iypyvvix`UwnxamloxbUwGIyeisuiwKIygItPI`XxUymoxcUwKIyeQxUynoxcMnoxcmngXTIThniVeysqqkeyrOykYutIxUuu`yqYghytsywSQykex_iqqiv;qsAxwIykSsqIwEIyTxwMyloxcewhytYXxYyost:ZfExYIykYusqoqYvgysIXkiuuIxlifUx]QwII[QvuxxKwEYyiYtWyniY_YykyuvWoyvwQucwfxwEwuYx]qv=itYXPYymixaY:hyuSwuAoataxxaYlYv_Y:::ZsEykaruxJyiYucwpyvKyOY:::hYyOYjwyyxwY:nyuyYsau=nYoat=hIBy:fyyUy::::Zx]y=jPqTU]tMWxlaxyyyxyYJh[khRjy;riZsHq;yYxI:riZPupyaPupKoR]DmayyYyAZP=PFBt>Oxe@yYxIy_bLnsynTjYsyvY:j_Cn[XoayvcItVsEeogxpyay=:xEK_P=xIy?>WxIyabMNsivYxIUOU?OKaymy;RxfogpPfWxiyqT\\Dm?vY:JTCdKOnOWvY::JnCd>OxIyA:::vQ\\Dg`yMTSeUggmYxxIyA:nT\\Dry>WJNSxZy=DHK_blv;yANVjYsyvYpDK_bmysy:FYpDRujyUGK_s<xI:Bg>obDtdHxEK_Pmysy:^UDXkQxvaYwyIyabLNsyvYJeCdFQjy;Bqfr?EtKitry:ZbLNCtZyMNCdvYxIBt>OxEyaymP;Kaymy;RxfOjp[yqTjV;yA:^P>OKQoky;:::::::::bysywvX::rxiQxCyZumw;:::sAVY:Jx;qA:bwhyuswnXTIiaq=TI:gA::::vX:Ju;JvQYrasuX=@B:::[ootxoYxD=qO@RdFJ:::tDkQruywUYysxkIwIyq]hh?gWCG[MTaquHuvXq;OW]itiOwZCIqSXxgIvuixcqwQYxaysivVQsWMtuhuKUqWITu:\\w_EuuMYqevUMsLQR_pswdmKIR^PVS=ss=yoiYvIyvUYrqswhm:M_;<:TStLMnQXjGymqyu=Yit;Ylgw^Qg]iTaquHu>dmRUslTVTASpUXheyuAyxeYtKygX:Z\\yuSimSHlIXk=xkEXJFqohoxYypqYRwwATIRw:[YuIYheWeYv\\Av]:Voaxm\\yuRqyuixx=::JfHO_@\\KF>Xv[mUyiytuI::BPZ[jAibxYyoqY::::::::ciyjt;cAfXLIRw^XLIRwfXLI:cAfXPI:BwZo=:::Jt;eanMtSwZn=PIBwfXJtSwfXJtCwfX:Jt;eao=::::Ju;eAZn=PI::::bw:nX:BygA::::::ZqEygapmu;rw:::::ZrEyRxvXqYw^XoatAxxAyeiyqIWXxxUIiYt>WiIt:TymqYvixxUYmqyuexxYyn[qQWgis\\yp;MadmmwxeaypyvwetFwwqxbiyqEyeYsuqmoxbMowxeiypIWiytZciYOQucwMquiXxGwwmxYYowxdmomITYoqyumhqYwwEu\\Yqwxfuw>ygMpmIsQomyt]hoyvvix`mkiyskjKwgU]Yqqiv;Qs=hmYVayrLiuiXTIeysTIiytsQooxcExUYykiusywQYytxx]yqCv`yq?yhMqGykex_qvAiryWbx_QwIyxeyscv`IoyvwQtqimiYaA^XTiuiXPIBw:fXsIxZrmuuipMuSwhyt[vyXsYxpyvuI::ZtEymQxKvSxZr=::`ImqxaI::oqxeI::rxwqwkyuiyEyfYlIRy:::^Yjx[yuy::>T\\D[`yeyyAFQ;`kPVxiyyY:xEK_bl_ifsmysynTjPSx:ZblVGrmYXyqyyI?agdgK_b=\\HK_ydkyaymYCd>WxImagdgbovYxIbo>OpDyyypxp?Ojpqhyuy:KabLNCqsHryaymY;KaymyCt>OxEyayMe;U?jykvShmONsiZyMe;K_EmysyZVMN]dbls;yA::>WJNsyvY:::jYCdnTxIg`blVsvZy=lGUWeptPGysuy>WJNSkFYjySkhVNCdVS`IryfR:xIyaP=pDUAxI`ImWh\\Dy_ymycoZbl_;yA^U\\DK_m=PFbovYxIBtZblvsyvY\\DK_ymy;g`bLNcrvYxIboZslvaIvYJe;K_m=xIK_blysyZb=xErynTjP;vYFY`EK_y<xIg@>OhFryZV=\\DaAvY::::::::::tYx]IkA::::::::vXXI:BxZqMv;:iar=XI::::::::::::JvUyrasuX=@B:::AxfgFw_YuuvXqSZFJ:::tDkqruywYIiapiytqxuAyoQyqYxsqxlIypQXNyqYxuAyoiytiXqiwwQuswRyPYxaYtmyvMI:eYyoqxCyPyw]ysSvoyw_QvMyxeytuImiw]YaquHRZ:ZP<=IymYwwyxtipiYlinYyrYXFypIXNY:tIwA:::::ju;gA:::::::::::ktNO<=kBtywUYy;::BPZ[jA[pqY:::::::RwhITIeao=JucwfXPIbwnXPIbw:Zo=TI:eAnXPIeA:nX:jt;bw:nXPIeA::nXTIeAZoMucwfXJu;RwZp=siwhyt;^YhYu;ZvmwQivqXsA:::::rwwA::TI:rwZp=XI:::::BxZqMv;iar=JvswZr=::uYxFYByiqwQitQxxQykUxYafiyrawwyxcExQQvihqQWkyt\\ixAyfqYQiyhHSYykytuqpCuZfMpSuXYoCuXyostfW`HvxcuwbuXYocuVWphriWiitfWkIu\\YpSuZfUxWYyiIuuIxUag=:RxYaguwUYyRx]QvuhsIXmYv\\ypCuXYpmidUwGIyeysPiu]naVcYsLILHCqtUxwgvvEtNWiytsywQQvqXxkuqhryWkiusqpqYvSxFY>XmARvwyxcamUx]YybxtiouxeYyHyx[lqyuixx=gapuxRwnXqArwnXTivyXsYxbyrxVYlIsyw:>yxaYpyvgytMw;qiy:jv_yrEymQxaiwIY:uAbxNY:::hIqA:yiyxIyiy::::sAfY:Jyky;:JyWX\\DcoWyixuyHysMYN[vxYxI:ri>OPFRevqyprnLN]dbLhsyvYTGRkZblYorsTjBdVsE=yabAWrivYxIy_bLnOwymyCq>O\\Dc_ydkc_b@OK_Pmywyym_?tbLNShmoYSh>O\\DU_sIYKItOId>O:JnOwbMNsivYxImasHQBdFQxEK_blPSuUAyAg`blVCdfOxEm?>OxEyay=::Jn;K_ymy;:::U_bLk;yas<\\Dm_yLTKN?OlGyayMn;m_ghOUWexE:K_VmPSevQ:\\D?AvY`IBd>O`Ey_bLNSefWYay]P=`EK_glYShZblYsyvY\\HBd^PxEm?>OhFyaP=\\D:ry:FQjYCg>tJitsIY:K_ylYyenLNCdvQxI:K?:vY\\HriZymv;BdFQxEK_blPSujyKe;m_blPsiFQJNsivYxI::::::::::bysYxlI:\\Ikas=\\I::::::::RxZr=::::::::::::XIBxZqmuKvOxSxhqZ;<::jaQvSYyt=YVATt@B=>::ZhLvUyruYxYYy;:hyu_YlI:::::::::::FyqQxWXiuZ;<:TCTXkmYwQYymyuuI::::::::hIBylyvIYymixMxcxgiuqywYYxeYumIwSYyoiwwIytI:::jwoY^Y::::Yv\\CVBqR>=kBtYxoY:::\\ochnJhkB@<ktNQdysywwA:rxgAlIJu_ypmuswZp=:Ju;rwZp=:ju;:gAvXJuswZpmuswZpMuswvX:qAgA:::::::::vXsiw:ZqMucwvX:XI:bwnXjusw::::::::::::>Y\\I:iA>Y:::::::::ZyMymix=jysy`I:Jy;yAdyyOYBykiyqIwwAoasAxxIyiUxUiykYuwYxYYypXyaYqGyhiyriwxEvuIxQiymiuwAJrSuvWkYuuYxWqvyHtI`YrGyhExpYvqhsmv=I:YahqytIxwAyhqYBvnwwuu>XkiuuQrGyimqOykiysAXnY]YymApyvAIZtQxw=bvZkqytYXoivuQrwxguwpYv_ypQWgIt>WeapAWgYtTIdHMAXYpmyuKpqihExWA`yrqYvyH[qvAitMwEisIX@itYXoqxeYtsvVXLItywUIpywMyx_XrxeAFYnyvyxxYyomtcwhIsIx>Y`iwIyxiYlIXivyX\\IkAFYdIoA::VYuqyuywyivyYsA::::::fYpI:::sAfY:JxCyfYpiyuybyxYysyvYtIwaymy[y<\\hcyyyqyJMNcovYxI:ri>O\\hdAtJ=K?fogDqsHryay=TGK_PMhSe>O\\DBnvYxIBt>Oxe@yYxIy_bLnsyvYJkCgBd\\DRe^UxIyAZPmPqTU]DK?ZsHQUYuryKabLN;:KQo]HK_ylysyZsm_Cd>O:xEUYury:g`bLeCqfOJN;y_sIYyay=::Jn;K_ymy;::RuUQNCdVXxIyAnTpDBdZnLn]XoyIyA>W\\Dy_gmVCd>OJhsyfWLUT?obDdZJ=xI:maE=\\D:y?vYyAbo>OTGs`g<\\DriFYxIyANV:\\D:[`s=TGK_b<:xI:?asHq;]blVsyyqvslZb<:PFmayMe;K?:vY\\HrivYxIRxVSJN;rifWry:g@nTlG:K?vQ`Iyay=::::::::::tYxaivIY::uAmqxaI:::ZvMxSy:Zvmx;::sA:::::::kAZrmv;Rx:>Y\\ImasMvCxmywcy`kEHRZ:::fv]AvtAynQrgpj;`D=>::ZkPmhGyqYxxayrqY::::::::::::::Jw]Ytqswh=@B:r_eUGSitGixiYvmYwWYxeiu:::JuuhrIxxayrqYJvMyoMYqIXsiXiUyrUxsqxiEyoiwoEX`iXkmVnuW]yWcIugmVOMXfmUl]WYeW_]TjIWUAXdauoAXaMYqEXvIyoQYrMxt=YlMYqEXu=ylMYqAXtuxjaYtmxtuxkAYoiwraxgMypEXu=YmYYsaxuEynaytuXwQYqeYuuxUIuOAlGfaqn_xayrqY:::\\ochnJRB>EQdyjuCxwAXIBxvXXI:karmu;kaq=\\Iiaq=JvCxZq=juCx>YXI:Bx:Zq=\\Iiaq=:::::\\I:rw>Y:ju;::karmu;kA::vXXI::Bx>YXIBx:vXJv;::::::jy?yxaYry:nYtIyAjvyis=:::::::::::::dyyqyv;:oA:bydivyXqIwNxxQyjex]iymIvwix[A`YrSvdYrOYFX<I:_qv=INykiysywxYymiysyWoatIxxIyiqY_YyxHtIFxxevRy<YyiYtSvwix]amiys=VxxmxeyruIuqruilMsqikmsuimiytIxwuvuqscvwqsuiniytIXmYvhIHyx[nqyuqXoyvwqsWyoexcYymIvuQrsuuywSIyjo;SIypXxYypqYvuhryWkyujv=I[AFxwEwFXmivVXqAaQwIiueyqauiXqYw:nXBykiyrxgap=sywlIuawQYju;:katUy:qiydImQxCyfysUymA:NYhyyuywyIZvyYsA:::::fyyqY::^YlI::uawMyoYjywYnYtyx;wAxIyA:lGrlQpyCgZm=xI:::Rx>WpxpyHyA::::Kabmysy:ZbMN]dydkyay=:::jpqhbAWUayuy:::Ru>W\\HaQtky;:y_bLnOwymy;::::Kabms;yA:::ZbMnsvZy=:::JnCd>OxIyA::Zy<xEyay=:JnCtVXjy;:::RuZsexyay=JnCtFYjy;::Bt>WHIry::::>W\\HaAvY::jp;Kaymy;:Bd>OxIyA::>WpHyqy;:\\HKAFYjy;:K_blysy:::::>W\\HaAvY::::\\HKam=xI:::::::::::byuixNY::::::::::::::::jvSx::::::::::::qixgIlgW_gwacegyvVgwaa=:biOwZcyv[IyqywMyreHh=WWgwaaeg::wvVgwacUoKXfqYxgiysYxFY::::::::::::::^ytyxDAqPxpY`hppmmca:LVSAsrqXnMyqUxtyXmUyr]xvQyqaytyH:Tyr]xtyXm=ynqWpIXdUXhaVg_pNaraht?AoOirbpt@AoSQsh@uDaoQAsbptAqnBYpFxrmPkEAqJpsv`lGQqKxrlpjBYpA@snxjCipC@txxlNYrXHtyHmFAqHXsphkGIqKHuCAoXAtmPuDQoTedmXlKwpSXeyXnegrchhGipCXuCyn]ituhxgIvuyxkiysYxWytIYBq:BxlYvSxwQvCxZs]\\AvUQjxohiF_Y>eMWC`Itir=`ImarMv;mA>Y`IBxFYJv;RxZr=:`I:Bx::::::::::::yqvuYxoY:::::jy;wA:::vYkyy`ItIry\\ItIFYJvyis=\\Imyy`I:^ysyyvmxSy:::::::::::::::bxyA::::::::::::::hiwQYdItYx]YygxxYynex_iyqivwyxaiyoiv^X@YyOXHI]qw;PiuYXJt;VymMs[uYXoYvdysOYhysWynexRwdyscv^XqIwdYs_ypexVYhyt[tmwUit]muxBwdysSwhYt;RwdYtuiouxNYJxYiu=lyucwhYtWYZoexZvMwMyxeYsqYwEIFyjExUYykyu\\YqGyjUx[akex_AdIoyvdYsKyiYtkx[oqYVYuQtuipEyiQxYiuqXqiwlYvswlI\\IkA::jxwYqiy`YyGYuAZwQYuixFYhix]v=nYqiydIoA:Zumw;:nyuqyxmxSyxIyA::jxyiw=JyoY:fYpI:vYyA::::fOptPOv\\ivbl\\syyqy;:::::::::::::Bt>Oxe@]y=:::::::::::::jYCd>WxIyA:::::::::::::::::>W\\DK_ymy;::Q`bTfK_bmysy:::::::::::::::::::::::::::::::::ZbTfK_ymy;::::::::::K_blysy:::::::::::::::::::::::::ZxiyuqY::::::::::::bxNY:::::::::Zymy;:::::bysYxuyxkIyoywsixiA:RyqIxwqvyit]wMxCy:ZuQyqayuAyvYyrqywQyxiY::::::::::::Zsmv;oat]waysayuAyuQyqYY:liqiyvIyymy;:FYJwaytqXu=ym]YtmXx]ysyyxeYsmXj]XimVlaw\\qWbUuh=WUkgqVSew_yTeYVOuVXiS^QuBAVPQR[qt<EvPwrmpkDypLPsqPlIiqSPt;ymNYr[HuDQoSQsexuKapZYtq@vMyp[atqHvN=MyqKxuGYogIvEYyqYwyqvSx:ZtyYXPkd?xyxeyyGY`I::bxRvYitehnUxyuYxyqv;:::bxZsMw;mA:::NYjv;:::::::::::::::::::::::::::::::::::bx:NY`IbxFY:Jw;:::::::::::::rxyYyqA:::::::::tywgYpIby:nYpYwcxFyxayrEygqwMI_aoqyuaXLivqXDivyXqIwhIPI^Y^XqavqXsiwhIsywVXLiuaXPIRwhIsiw:vXPIbwnXqIwvXjt_yqEygao=:juWYhYu_yq=:siwnXJvWYhIsYxwIy:iAlYvWY:lyuWYZruxVynexcamiYaaliysIxwQymms;cYyLYy[o=TIgQxYIgAlIsIxhI:uYxJxYIiqxSymA:ZtqY:RxZtyYqiywAqyyuyxpix=:::::jyuYxCy::::fyyqY::::nYyqyKyuix=:xIyA::ry[`bLTKNOVxIyA:::::::::::::ZbMNsiTvysy^U;iogpsIYtyIyA:::::::::::vQ\\DKQoyIyamMeUgVmywyy=::::::::::::::JnCd>OTGg@:VSLUTmebDd^Ujy;:::::::::::::::::::::::::::::::::Bd>OxIyA::::::::::>O\\Dyay=HIBqZy=::::::::::::::::::::::tyxiiwayxiYryuIywax=:::::::::::::::::::::jyWyy=::::bx:ZuMwcxZu=dIqA:NYhIqiydYy;:ZuqYbx:Zu=dI:::::::::::::::::xit=::::::::fytqxqQXiaiyvTqw`AuhqvR=::FxdiuqQxcIYUyyuixyA::::ZAar:I^UF\\e@o\\xywQyy=:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::rxyAdIrxZt=hI:::::nyu=uA:nY:tIuAnY::::^YhIqA^YjwCyZuMxCy:::jxiiwQYdImyy`Yymyu_yoEyeaqMu_YvXTI:gAZqmu;:gAvXTIrwZr=TIrwnXjucw>Yju;kAvX\\IbwFYjuCx>YXIfY>YsawmxaivyXsAmarmugYpIsYx>YuawQyxUxlIsYxZrmu_yqMv;iqwsx:Rwdix]u]pEyiA>Y\\IiQx]Imas=RymAlIuixVYByRxpYwgYVY::dIrxtIwaw=tiy]x=::ZwyYuA::Zxeyuaw=::::tiyqyy=:::::ryyAVX\\DK_nlysy::::::::::::::Zb=xe@yYxIy_bLnOwymy;:::::::::::aayxq@Awb=yabMNsivYxI:::::::::::::::KA>O:::JTcr?AxI::::::::::::::::::::::::::::::::::Bt^pn`qymy;::::::::::KAZy=\\HK_y<xI::::::::::::::::::::::JymIsA::::::::::jxmyyuIwaw=:tIRyfY::VYuIy^Y:hIByVYwAfY^YhI:qQycyqau=lIsaumw;::::fYJySyZxeyuawuyuQycyZymy;:::::wAvY:Jy;yaxMysyvYtI:ry::Zx=:xI:::::::::::::::::::::::::mDOStEMCBmgg_wyuyxyae@o]Xv[quyiyuyY::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::nYyA:::JxCy:::Zu=lI::::::::::::::::RyfY:hiwmxeIxIwIyiAyQvuir=XItyx]Yy?Ysaw=FYuYxJx]iv=:pYvgysUykAFY:ByZw=>Y:jv[v=pI::JwSxFYdIoQxkvcxpI`IbxFY`IoyyhYyOyx=bxyQwuIwayuxyiytitqY::mQxaivmxaIkQx;:::`IfYNYBymAVyx=oAVYhI:xIVyxmyqywuYyoYnyueysyylI::::uaw=::::::Jyoyx=:::yiyyyy:::yyytIxI:bonTDXk[y=::::::::::::::HIg`V=xIsHqTGaaymy;:::::::::::::rvnTlGyay=::::::::::::::js;g@::Zbmysy::::::::::::::::::::::::::::::::::::::::::::::::::Zm=lGry:::::::::::::::::::::::wYyfYJxCy:::fYJx;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Xw^qTVysq@tyxmJyAZj`lX?rcpiQIsgxwcauyqYyA:::::hIBy:::VYhIsavitMAtiF_ZF^URB:vr?AryqyvyY:rxZv=:::hIByZu=jwCy^Yjwsx^YuqyqIbynyv=Ry::fYtIwaw=jx;wAZx=::::pIuaxYYuawMymix=ZueyqavMxgYJy;jwsx^Y:lI::qA^Y::jw;:sau=lI::::::::::::::::::::::::::::RyfYlIsawmx;:sAfY:::::hIqqxayyOyyex>yyUxFY:dYyGyymyGYJwuIryjv;oiyZyMy;yA:nYtyxwYbxwqvyiuUyoatyYqiyuQyOYdyyWYnYxit]x=xiu]xmysyhYy;yAnYtiuyyxaYuAxIyAwyxwA:lYyOyx=qyywIyyaxuxVYlyygYlYy;jxoYqiydIoA:::VY::hI::xYywYsAVyx=ByZwmx;:::By:Zw=::tix=:::xYyyI::::vyy=::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::nywmx;::::::::::::::::::::sAZv=pIuA^YlIRyZvmxSy^YlI::::Ry:Zv=::::::::::::::::pIBy:::::::::fYJx;:::XG]VT;SZcl:;:::R^MEBkwaYuuMIqry::::::::::ZO=jJ:QWdCwywIyyA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::pIuAZv=JxSyfY:::::::::::::::::::::::::::tixaYhyyWYuixtywsxyYyoqxkwcxtIRyoQykw[xaYuixpIwIyZueyqqxeiwYYlix=tYx;qaueysqxSyrxjxKxoYwQwyIjxiiwMycyxIVYwIy^YuAnYVYhIsavmwgYZvmwoyuMxSy^Yhiw]w=lI:uawMxCyZwmx;savmxSyZvMx;qQymIsA:jxSynYtI:::jxSy^Yjx;:::wawmxcynY:::::rywyy::::jyyI::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::JyqIuA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::;Iowg\\;E>=FO@B::::::[G_ytuMYqyiyxI::::::::::]IvWyZyUXusGYSBqJBmr=yYyqyy;::::::::::::::::::::::::^Yjx;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::wQyqIby:::::fYpI:ByVYhIsavmw;rx^YjwCy^YhI:qavMxsxZvmw;sAVYpIBy:VYlIuA^Yjx;sAfYJxSyfYlIsaw=lIRyfYlIsawmxCy^YpIuA^Yjx;sAfY:::tIRy:ZxMySyfY:JycyZwmx;::::::waxmxSy:::nYtIvyxyY::::::ryyAJycyvyy=::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::nyxey:::::::::::::RyfYtI:wAfYJySyfY:tIRy::::::::::::::::::::::::::::::::::::::::::::::]ituxgqvQOfQ;B\\sD:=FO@B::::bZeD:AfO;B[iD:EFP;R[mD:?Hewuywqy;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ZxMy;::::::::::::::ZyqyyqYtIryvY::::::JycyRyfYJx;uavMxSy:fYlIsaw=lIuawMx;uav=pIByZwMxCyfYpIsAfY::::::lIRy::::::nYjx;byZw=JycyZwmx[ymycywaweywaxuyvYJycyuAnYyay=:tIwAvYxI:::waxmysy:::::::::yyy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::tIwA::::::::::::tIrynYjycynYxIby:Zy=tI:::::::::::::::::::::::::::::::::::::::::::::NxfyuCYp:HlaGZYHiZ>rb@h:AO=FO@B:::?>fjRc[oD:IvP;B\\sl>qO:drh<J?uO:@tx<mreXiyYywY:::::RyZx=:::jx;wAfYJy;RyZxmx;waw=tI::uAnY::::::pIby::::::fYJy;:::::uAnY:jx;RynYjx;wax=::::::jx;wA:::::::xIyaxMy;::::yAZy=::Jy;yA::::::::::::::::::::::::::::ZxMyqIuA:::::::::nYjx;:byZw=::tIRynYtIuaw=tIRynYtIuAZw=:ryby:xIyaxMy;::::ryvY::::::::::::ZyyYwax=:::::jyyI:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ZxMy;::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::JmmW[AvMUpF=Q>xuLIpleWZyyyuyy;=^>@e;>l__ZQhg?fk\\WZ;`D?VOvd:fjSs[ql>q?VkZ?ZFHf:fk\\?ZHXf:nk]s]AE:gVU[bt?imyay=:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::yyytIwA:JyqixqYJyoyw=yAwQysyRy:xIwaymycynywuyvYtIryZx=xI::::bywAxI::byZy=tIry:::::::::::::::::::yyytIwA::ZyyYwAyA:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::tIwA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::BwYYsaximfqYhfMyqShuIIpMyqQhnwg_=XcUUd?vFWg\\wsmqW]miw[yyyqy;:yHowgpQhcyfWkragu?yVWgr[oD;EVP;:r\\yD:UVR;b]A]^S^GE:_vS;b^KU:aFT=r^:MU:gxkyvyvY::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ryyQyky[xMy;:::ryyQycy:vyy=::bynY::::::::::::::::::::::::::jyyixMy;:::::::::ryyQycy:ZyyYbynYjyyI:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Zx]yeynYxyyoYvYwax=:::xyyoYtI::::::::::::::ryyAtIwayyYwax=:::::::jyyixMy;:yyytIxixMykt=YnIuAEoPYr\\pt=MnPUr[lT=ENPUR[<vKu`sHlcyuGyyyuy::::VraXha@jnvnyW`QhgTFkW?:bRxRl:KMDaP;PsoHJEmP<TSpPjEqp<Xsp:ZRAsZxyyuytI:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ryyQycy::::::ZyyYwax=::::::::::xyy;::::::::::::::::::::::::::::nYtI::::::::::::yyytIwAvyyeynYjyyInYtIryyQycyZyyYwax=xyy[xMy;yyyJykyoYvY:byrytIwAvyy=:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Jw]Ytaw]etmmw^mxkIWpIxceYvMyyyiy=:::::JwYys=U?in[YtutWbQu@AP:xRlZM@g;nmpg]fpj;Wmko[SxgANmkG[UPhENnt?^WD>sfVUr`_E=qfVQb`]U<chjgvyvYwAyA::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::tIwayyYbynYxyy[xMysyyQycyvyy=wax=xyy[xMysyyQycyZyyYbyry::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ZQYr^HxdAvyyyyqoIhbL@g;fldWZ]Xi`npLPepPlSWqV@fXhhMvmpw\\phlJWw\\QtJYqMHnro]Z@iW>nqW]YphRnmo_\\<Aoewyyuy::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::Fsn@jP`g>vn;p_ypmhwqXhgXisnxyyUhqfPEgYUCioVSqYxgyyfuHAp_pihfnw__^`icVntg^[HiZ^rdHhyyYyA:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::NxgAvLArLPtt@mCYo;PtsxlyyYyasyxlyvVyrDio>@vIypyyYyaYAtoPo=`acPjsvn:h``pij^nvO_nXlGGyqIxyyYyA:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::nxkQwWIsipXxyywY:lYw]ynqW`yyywYJeIvKuT>UNPUR[hT<umP]r[NlMgpOPdhqvPyyyuy:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ZHAqLHpFpcn@lOWttPmOiqYPtsxl=qnmwwaQuyyYyA:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ft;AnaauCIxaau\\yst@vFapYYsmxuEYp_qt<Ax`YupAxcIxcquuIyp]y=::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::pYxiYtuXmyxkUwrYxg=YmiwpEXdqxjIwtyxmyyywY::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::J:<5:\"\{\}-%%ROOTG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"%+!)F*-%.BOUNDS_HEIGHTG6#$"$!pF*-%)CHILDRENG6" # Intertemporal Consumption dynamics ###################### Slope Indifference Curve ################### restart: # Our General intertemporal utility function is given by U:=F(c1(t),c2(t));

LUkiRkc2IjYkLUkjYzFHRiQ2I0kidEdGJC1JI2MyR0YkRig=

# where c1 is consumtion in period 1 amd c2 is consumption in period 2 # The derivative with respect to time (multivariable chain rule) for the above function is given by dU=diff(F(c1,c2),c1)*diff(c1(t),t)+diff(F(c1,c2),c2)*diff(c2(t),t);

L0kjZFVHNiIsJiomLUklZGlmZkclKnByb3RlY3RlZEc2JC1JIkZHRiQ2JEkjYzFHRiRJI2MyR0YkRi4iIiItRig2JC1GLjYjSSJ0R0YkRjVGMEYwKiYtRig2JEYrRi9GMC1GKDYkLUYvRjRGNUYwRjA=

# We now note that any movement along the same indifference curve (also called a isoquant or contour line) # means that the change in U is equal to zero, dQ=0. The increase in U due to an increase in c1 is # completly offset by the decrease in U due to an decrease in c2 subs(dU=0,%);

LyIiISwmKiYtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkiRkc2IjYkSSNjMUdGLEkjYzJHRixGLiIiIi1GJzYkLUYuNiNJInRHRixGNUYwRjAqJi1GJzYkRipGL0YwLUYnNiQtRi9GNEY1RjBGMA==

isolate(%,diff(c2(t),t));

Ly1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSNjMkc2IjYjSSJ0R0YpRissJCooLUYkNiQtSSJGR0YpNiRJI2MxR0YpRihGMyIiIi1GJDYkLUYzRipGK0Y0LUYkNiRGMEYoISIiRjo=

%/diff(c1(t),t);

LyomLUklZGlmZkclKnByb3RlY3RlZEc2JC1JI2MxRzYiNiNJInRHRipGLCEiIi1GJTYkLUkjYzJHRipGK0YsIiIiLCQqJi1GJTYkLUkiRkdGKjYkRilGMUYpRjItRiU2JEY3RjFGLUYt

# We note that # diff(F(c1, c2), c1)= Marginal Utility with respect to c1 (MU_c1) and # diff(F(c1, c2), c2)= Marginal Utility with respect to c2 (MU_c2) # Note that MU_c1 is the extra utility we get from one extra unit of c1 and # MU_c2 is the extra utility we get from one extra unit of c2 subs({diff(F(c1, c2), c1)= MU_c1, diff(F(c1, c2), c2)= MU_c2},%);

LyomLUklZGlmZkclKnByb3RlY3RlZEc2JC1JI2MxRzYiNiNJInRHRipGLCEiIi1GJTYkLUkjYzJHRipGK0YsIiIiLCQqJkkmTVVfYzFHRipGMkkmTVVfYzJHRipGLUYt

###################################################################### # We now note that diff(c2(t),t)=c2(t+1)-c2(t) and diff(c1(t),t)=c1(t+1)-c1(t) # Which means that diff(c2(t),t)/diff(c1(t),t)=(c2(t+1)-c2(t))/(c1(t+1)-c1(t));

LyomLUklZGlmZkclKnByb3RlY3RlZEc2JC1JI2MxRzYiNiNJInRHRipGLCEiIi1GJTYkLUkjYzJHRipGK0YsIiIiKiYsJi1GMTYjLCZGLEYyRjJGMkYyRjBGLUYyLCYtRilGNkYyRihGLUYt

# Since the slope of a function is defined as slope=(y(t+1)-y(t))/(x(t+1)-x(t));

L0kmc2xvcGVHNiIqJiwmLUkieUdGJDYjLCZJInRHRiQiIiJGLEYsRiwtRig2I0YrISIiRiwsJi1JInhHRiRGKUYsLUYyRi5GL0Yv

# we can write diff(c2(t),t)/diff(c1(t),t)=slope;

LyomLUklZGlmZkclKnByb3RlY3RlZEc2JC1JI2MxRzYiNiNJInRHRipGLCEiIi1GJTYkLUkjYzJHRipGK0YsIiIiSSZzbG9wZUdGKg==

######################################################################## # If we substitute that into the previous equation we get slope_indifference_curve:=-MU_c1/MU_c2;

LCQqJkkmTVVfYzFHNiIiIiJJJk1VX2MyR0YlISIiRig=

###################### Slope Budget Constraint ################### # Our budget constraint is given by I=P_c1*c1+P_c2*c2;

L14jIiIiLCYqJkklUF9jMUc2IkYkSSNjMUdGKEYkRiQqJkklUF9jMkdGKEYkSSNjMkdGKEYkRiQ=

isolate(%,c1);

L0kjYzFHNiIsJComLCZeIyIiIiEiIiomSSVQX2MyR0YkRilJI2MyR0YkRilGKUYpSSVQX2MxR0YkRipGKg==

collect(%,c2);

L0kjYzFHNiIsJiomSSVQX2MxR0YkISIiXiMiIiJGKkYqKihJJVBfYzJHRiRGKkYnRihJI2MyR0YkRipGKA==

sort(%,I);

L0kjYzFHNiIsJiomSSVQX2MxR0YkISIiXiMiIiJGKkYqKihJJVBfYzJHRiRGKkYnRihJI2MyR0YkRipGKA==

# The slope of the budget constraint is therefore given by - P_c2/P_c1 slope_budget_constraint:=- P_c2/P_c1;

LCQqJkklUF9jMkc2IiIiIkklUF9jMUdGJSEiIkYo

####################### Optimality ################### # For optimality the slope of the indifference curve has to # be equal to the slope of the budget constraint slope_indifference_curve=slope_budget_constraint;

LywkKiZJJk1VX2MxRzYiIiIiSSZNVV9jMkdGJiEiIkYpLCQqJkklUF9jMkdGJkYnSSVQX2MxR0YmRilGKQ==

############################################################## ################ Utility Example-1: Basic ############## ########### Slope Utility Function restart; # Our Utility function is given by the equation below U:=u(c1)+B*u(c2);

LCYtSSJ1RzYiNiNJI2MxR0YlIiIiKiZJIkJHRiVGKC1GJDYjSSNjMkdGJUYoRig=

# where c1 is consumption period 1 and c2 is consumption period 2 # note that consumption in period 2 c2 is discounted. We therefor have # Bu(c2) where B=1/(1+p) where p is a time preference parameter # Our marginal utility with respect to c1 is given by MU_c1=diff(U,c1);

L0kmTVVfYzFHNiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUdGJDYjSSNjMUdGJEYs

# Our marginal utility with respect to c2 is given by MU_c2=diff(U,c2);

L0kmTVVfYzJHNiIqJkkiQkdGJCIiIi1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJ1R0YkNiNJI2MyR0YkRi9GJw==

# The indifference curve slope is therefore given by MRS:=-rhs(%%)/rhs(%);

LCQqKC1JJWRpZmZHJSpwcm90ZWN0ZWRHNiQtSSJ1RzYiNiNJI2MxR0YqRiwiIiJJIkJHRiohIiItRiU2JC1GKTYjSSNjMkdGKkY0Ri9GLw==

# Which can be written as slope_ind:= - u\302\264(c1)/ (B*u\302\264(c2));

LCQqKC1JI3V8X3ZHNiI2I0kjYzFHRiYiIiJJIkJHRiYhIiItRiU2I0kjYzJHRiZGK0Yr

########### Slope Budget Constraint restart; # Our budget constraint is given by c1+c2/(1+r)=w1+ w2/(1+r);

LywmSSNjMUc2IiIiIiomSSNjMkdGJUYmLCZGJkYmSSJyR0YlRiYhIiJGJiwmSSN3MUdGJUYmKiZJI3cyR0YlRiZGKUYrRiY=

%-c1;

LyomSSNjMkc2IiIiIiwmRiZGJkkickdGJUYmISIiLChJI3cxR0YlRiYqJkkjdzJHRiVGJkYnRilGJkkjYzFHRiVGKQ==

%*(1+r);

L0kjYzJHNiIqJiwmIiIiRidJInJHRiRGJ0YnLChJI3cxR0YkRicqJkkjdzJHRiRGJ0YmISIiRidJI2MxR0YkRi1GJw==

# Which can be written as c2 = (1+r)*w1+(1+r)*w2/(1+r)-(1+r)*c1;

L0kjYzJHNiIsKComLCYiIiJGKEkickdGJEYoRihJI3cxR0YkRihGKEkjdzJHRiRGKComRidGKEkjYzFHRiRGKCEiIg==

# We define the intercept alpha=(1+r)*w1+w2 so we get c2=alpha-(1+r)*c1;

L0kjYzJHNiIsJkkmYWxwaGFHRiQiIiIqJiwmRidGJ0kickdGJEYnRidJI2MxR0YkRichIiI=

# Which means that the slope of the budget constraint # is given by - P_c2/P_c1 = -(1+r) ########### Optimality # Again for optimality the slope of the indifference curve has to # be equal to the slope of the budget constraint # Slope indifference curve is given by slope_ind:= - u\302\264(c1)/ (B*u\302\264(c2));

LCQqKC1JI3V8X3ZHNiI2I0kjYzFHRiYiIiJJIkJHRiYhIiItRiU2I0kjYzJHRiZGK0Yr

# Slope budget constraint is given by slope_bud:= -(1+r);

LCYiIiIhIiJJInJHNiJGJA==

%=%%;

LywmIiIiISIiSSJyRzYiRiUsJCooLUkjdXxfdkdGJzYjSSNjMUdGJ0YkSSJCR0YnRiUtRis2I0kjYzJHRidGJUYl

%*(-1);

LywmIiIiRiRJInJHNiJGJCooLUkjdXxfdkdGJjYjSSNjMUdGJkYkSSJCR0YmISIiLUYpNiNJI2MyR0YmRi0=

%*B;

LyomSSJCRzYiIiIiLCZGJkYmSSJyR0YlRiZGJiomLUkjdXxfdkdGJTYjSSNjMUdGJUYmLUYrNiNJI2MyR0YlISIi

# we note that B=1/(1+p) so we get subs(B=1/(1+p),%);

LyomLCYiIiJGJUkicEc2IkYlISIiLCZGJUYlSSJyR0YnRiVGJSomLUkjdXxfdkdGJzYjSSNjMUdGJ0YlLUYtNiNJI2MyR0YnRig=

################ Utility Example-2: Two Period Lagrangian ############## restart; # The Lagrangian is given by L:=u(c1)+B*u(c2)+lambda*(w1+ w2/(1+r)-c1- c2/(1+r)) ;

LCgtSSJ1RzYiNiNJI2MxR0YlIiIiKiZJIkJHRiVGKC1GJDYjSSNjMkdGJUYoRigqJkknbGFtYmRhR0YlRigsKkkjdzFHRiVGKComSSN3MkdGJUYoLCZGKEYoSSJyR0YlRighIiJGKEYnRjYqJkYtRihGNEY2RjZGKEYo

# where B=1/(1+p) where p is a time preference parameter and r is the interest rate ## foc_1 diff(L,c1)=0;

LywmLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHNiI2I0kjYzFHRipGLCIiIkknbGFtYmRhR0YqISIiIiIh

isolate(%, lambda );

L0knbGFtYmRhRzYiLUklZGlmZkclKnByb3RlY3RlZEc2JC1JInVHRiQ2I0kjYzFHRiRGLA==

A_:=subs(diff(u(c1),c1)=u\302\264(c1),%);

L0knbGFtYmRhRzYiLUkjdXxfdkdGJDYjSSNjMUdGJA==

## foc_2 diff(L,c2)=0;

LywmKiZJIkJHNiIiIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUdGJjYjSSNjMkdGJkYvRidGJyomSSdsYW1iZGFHRiZGJywmRidGJ0kickdGJkYnISIiRjQiIiE=

isolate(%, lambda );

L0knbGFtYmRhRzYiKihJIkJHRiQiIiItSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkidUdGJDYjSSNjMkdGJEYvRicsJkYnRidJInJHRiRGJ0Yn

B_:=subs(diff(u(c2),c2)=u\302\264(c2),%);

L0knbGFtYmRhRzYiKihJIkJHRiQiIiItSSN1fF92R0YkNiNJI2MyR0YkRicsJkYnRidJInJHRiRGJ0Yn

# Combining A and B A_;

L0knbGFtYmRhRzYiLUkjdXxfdkdGJDYjSSNjMUdGJA==

B_;

L0knbGFtYmRhRzYiKihJIkJHRiQiIiItSSN1fF92R0YkNiNJI2MyR0YkRicsJkYnRidJInJHRiRGJ0Yn

rhs(%%)=rhs(%);

Ly1JI3V8X3ZHNiI2I0kjYzFHRiUqKEkiQkdGJSIiIi1GJDYjSSNjMkdGJUYqLCZGKkYqSSJyR0YlRipGKg==

# divide both sides by u\302\264(c2) %/`u\302\264`(c2);

LyomLUkjdXxfdkc2IjYjSSNjMkdGJiEiIi1GJTYjSSNjMUdGJiIiIiomSSJCR0YmRi0sJkYtRi1JInJHRiZGLUYt

# we note that B=1/(1+p) so we get subs(B=1/(1+p),%);

LyomLUkjdXxfdkc2IjYjSSNjMkdGJiEiIi1GJTYjSSNjMUdGJiIiIiomLCZGLUYtSSJwR0YmRi1GKSwmRi1GLUkickdGJkYtRi0=

# Which is the same expression we had previously ########## Utility Example-3: Four Period Lagrangian with CIES Utility ############## restart; # The Lagrangian is given by L:=U(c1,c2,c3,c4)+lambda*(w1+ w2/(1+r)+w3/(1+r)^2+w3/(1+r)^3-c1- c2/(1+r) -c3/(1+r)^2 - c4/(1+r)^3 ) ;

LCYtSSJVRzYiNiZJI2MxR0YlSSNjMkdGJUkjYzNHRiVJI2M0R0YlIiIiKiZJJ2xhbWJkYUdGJUYrLDJJI3cxR0YlRisqJkkjdzJHRiVGKywmRitGK0kickdGJUYrISIiRisqJkkjdzNHRiVGKylGMiIiI0Y0RisqJkY2RispRjIiIiRGNEYrRidGNComRihGK0YyRjRGNComRilGK0Y3RjRGNComRipGK0Y6RjRGNEYrRis=

## foc_1 diff(L,c1)=0;

LywmLUklZGlmZkclKnByb3RlY3RlZEc2JC1JIlVHNiI2JkkjYzFHRipJI2MyR0YqSSNjM0dGKkkjYzRHRipGLCIiIkknbGFtYmRhR0YqISIiIiIh

isolate(%, lambda );

L0knbGFtYmRhRzYiLUklZGlmZkclKnByb3RlY3RlZEc2JC1JIlVHRiQ2JkkjYzFHRiRJI2MyR0YkSSNjM0dGJEkjYzRHRiRGLA==

subs(diff(U(c1,c2,c3,c4),c1)=U\302\264(c1),%);

L0knbGFtYmRhRzYiLUkjVXxfdkdGJDYjSSNjMUdGJA==

# Our utility function is given by U(c1,c2,c3,c4)=(c1^(1-\317\203)-1)/(1-\317\203)+B^1*(c2^(1-\317\203)-1)/(1-\317\203)+B^2*(c3^(1-\317\203)-1)/(1-\317\203)+B^3*(c4^(1-\317\203)-1)/(1-\317\203);

Ly1JIlVHNiI2JkkjYzFHRiVJI2MyR0YlSSNjM0dGJUkjYzRHRiUsKiomLCYpRicsJiIiIkYwSSgmc2lnbWE7R0YlISIiRjBGMEYyRjBGL0YyRjAqKEkiQkdGJUYwLCYpRihGL0YwRjBGMkYwRi9GMkYwKigpRjQiIiNGMCwmKUYpRi9GMEYwRjJGMEYvRjJGMCooKUY0IiIkRjAsJilGKkYvRjBGMEYyRjBGL0YyRjA=

U\302\264(c1)=simplify(diff(rhs(%),c1));

Ly1JI1V8X3ZHNiI2I0kjYzFHRiUpRicsJEkoJnNpZ21hO0dGJSEiIg==

# which gives us A_:=lambda=rhs(%);

L0knbGFtYmRhRzYiKUkjYzFHRiQsJEkoJnNpZ21hO0dGJCEiIg==

## foc_2 diff(L,c2)=0;

LywmLUklZGlmZkclKnByb3RlY3RlZEc2JC1JIlVHNiI2JkkjYzFHRipJI2MyR0YqSSNjM0dGKkkjYzRHRipGLSIiIiomSSdsYW1iZGFHRipGMCwmRjBGMEkickdGKkYwISIiRjUiIiE=

isolate(%, lambda );

L0knbGFtYmRhRzYiKiYtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkiVUdGJDYmSSNjMUdGJEkjYzJHRiRJI2MzR0YkSSNjNEdGJEYuIiIiLCZGMUYxSSJyR0YkRjFGMQ==

subs(diff(U(c1,c2,c3,c4),c2)=U\302\264(c2),%);

L0knbGFtYmRhRzYiKiYtSSNVfF92R0YkNiNJI2MyR0YkIiIiLCZGKkYqSSJyR0YkRipGKg==

# Again our utility function is given by U(c1,c2,c3,c4)=(c1^(1-\317\203)-1)/(1-\317\203)+B^1*(c2^(1-\317\203)-1)/(1-\317\203)+B^2*(c3^(1-\317\203)-1)/(1-\317\203)+B^3*(c4^(1-\317\203)-1)/(1-\317\203);

Ly1JIlVHNiI2JkkjYzFHRiVJI2MyR0YlSSNjM0dGJUkjYzRHRiUsKiomLCYpRicsJiIiIkYwSSgmc2lnbWE7R0YlISIiRjBGMEYyRjBGL0YyRjAqKEkiQkdGJUYwLCYpRihGL0YwRjBGMkYwRi9GMkYwKigpRjQiIiNGMCwmKUYpRi9GMEYwRjJGMEYvRjJGMCooKUY0IiIkRjAsJilGKkYvRjBGMEYyRjBGL0YyRjA=

U\302\264(c2):=simplify(diff(rhs(%),c2));

KiZJIkJHNiIiIiIpSSNjMkdGJCwkSSgmc2lnbWE7R0YkISIiRiU=

# which gives us B_:=lambda=B*c2^(-sigma)*(1+r);

L0knbGFtYmRhRzYiKihJIkJHRiQiIiIpSSNjMkdGJCwkSSZzaWdtYUdGJCEiIkYnLCZGJ0YnSSJyR0YkRidGJw==

# Combining foc_1 and foc_2 A_;

L0knbGFtYmRhRzYiKUkjYzFHRiQsJEkoJnNpZ21hO0dGJCEiIg==

B_;

L0knbGFtYmRhRzYiKihJIkJHRiQiIiIpSSNjMkdGJCwkSSZzaWdtYUdGJCEiIkYnLCZGJ0YnSSJyR0YkRidGJw==

rhs(%%)=rhs(%);

LylJI2MxRzYiLCRJKCZzaWdtYTtHRiUhIiIqKEkiQkdGJSIiIilJI2MyR0YlLCRJJnNpZ21hR0YlRihGKywmRitGK0kickdGJUYrRis=

# divide both sides by c2^(-sigma) %/c2^(-sigma) ;

LyomKUkjYzJHNiIsJEkmc2lnbWFHRiYhIiJGKSlJI2MxR0YmLCRJKCZzaWdtYTtHRiZGKSIiIiomSSJCR0YmRi4sJkYuRi5JInJHRiZGLkYu

simplify(%);

LyomKUkjYzJHNiJJJnNpZ21hR0YmIiIiKUkjYzFHRiYsJEkoJnNpZ21hO0dGJiEiIkYoKiZJIkJHRiZGKCwmRihGKEkickdGJkYoRig=

# which can be written as (c2/c1)^sigma=rhs(%);

LykqJkkjYzJHNiIiIiJJI2MxR0YmISIiSSZzaWdtYUdGJiomSSJCR0YmRicsJkYnRidJInJHRiZGJ0Yn

# raise both sides by 1/sigma lhs(%)^(1/sigma)=rhs(%)^(1/sigma);

LykpKiZJI2MyRzYiIiIiSSNjMUdGJyEiIkkmc2lnbWFHRicqJEYrRiopKiZJIkJHRidGKCwmRihGKEkickdGJ0YoRihGLA==

simplify( lhs(%), 'symbolic' )=rhs(%);

LyomSSNjMkc2IiIiIkkjYzFHRiUhIiIpKiZJIkJHRiVGJiwmRiZGJkkickdGJUYmRiYqJEkmc2lnbWFHRiVGKA==

A_2:=%*c1;

L0kjYzJHNiIqJkkjYzFHRiQiIiIpKiZJIkJHRiRGJywmRidGJ0kickdGJEYnRicqJEkmc2lnbWFHRiQhIiJGJw==

## foc_3 diff(L,c3)=0;

LywmLUklZGlmZkclKnByb3RlY3RlZEc2JC1JIlVHNiI2JkkjYzFHRipJI2MyR0YqSSNjM0dGKkkjYzRHRipGLiIiIiomSSdsYW1iZGFHRipGMCksJkYwRjBJInJHRipGMCIiIyEiIkY3IiIh

isolate(%, lambda );

L0knbGFtYmRhRzYiKiYtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkiVUdGJDYmSSNjMUdGJEkjYzJHRiRJI2MzR0YkSSNjNEdGJEYvIiIiKSwmRjFGMUkickdGJEYxIiIjRjE=

subs(diff(U(c1,c2,c3,c4),c3)=U\302\264(c3),%);

L0knbGFtYmRhRzYiKiYtSSNVfF92R0YkNiNJI2MzR0YkIiIiKSwmRipGKkkickdGJEYqIiIjRio=

# Our utility function is given by U(c1,c2,c3,c4)=(c1^(1-\317\203)-1)/(1-\317\203)+B^1*(c2^(1-\317\203)-1)/(1-\317\203)+B^2*(c3^(1-\317\203)-1)/(1-\317\203)+B^3*(c4^(1-\317\203)-1)/(1-\317\203);

Ly1JIlVHNiI2JkkjYzFHRiVJI2MyR0YlSSNjM0dGJUkjYzRHRiUsKiomLCYpRicsJiIiIkYwSSgmc2lnbWE7R0YlISIiRjBGMEYyRjBGL0YyRjAqKEkiQkdGJUYwLCYpRihGL0YwRjBGMkYwRi9GMkYwKigpRjQiIiNGMCwmKUYpRi9GMEYwRjJGMEYvRjJGMCooKUY0IiIkRjAsJilGKkYvRjBGMEYyRjBGL0YyRjA=

U\302\264(c3)=simplify(diff(rhs(%),c3));

Ly1JI1V8X3ZHNiI2I0kjYzNHRiUqJilJIkJHRiUiIiMiIiIpRicsJEkoJnNpZ21hO0dGJSEiIkYs

# which gives us C_:=lambda=rhs(%)*(1+r)^2;

L0knbGFtYmRhRzYiKigpSSJCR0YkIiIjIiIiKUkjYzNHRiQsJEkoJnNpZ21hO0dGJCEiIkYpKSwmRilGKUkickdGJEYpRihGKQ==

# Combining foc_2 and foc_3 B_;

L0knbGFtYmRhRzYiKihJIkJHRiQiIiIpSSNjMkdGJCwkSSZzaWdtYUdGJCEiIkYnLCZGJ0YnSSJyR0YkRidGJw==

C_;

L0knbGFtYmRhRzYiKigpSSJCR0YkIiIjIiIiKUkjYzNHRiQsJEkoJnNpZ21hO0dGJCEiIkYpKSwmRilGKUkickdGJEYpRihGKQ==

rhs(%%)=rhs(%);

LyooSSJCRzYiIiIiKUkjYzJHRiUsJEkmc2lnbWFHRiUhIiJGJiwmRiZGJkkickdGJUYmRiYqKClGJCIiI0YmKUkjYzNHRiUsJEkoJnNpZ21hO0dGJUYrRiYpRixGMEYm

%/(B*(1+r));

LylJI2MyRzYiLCRJJnNpZ21hR0YlISIiKihJIkJHRiUiIiIsJkYrRitJInJHRiVGK0YrKUkjYzNHRiUsJEkoJnNpZ21hO0dGJUYoRis=

# divide both sides by c3^(-sigma) lhs(%)/c3^(-sigma)=rhs(%)/c3^(-sigma) ;

LyomKUkjYzJHNiIsJEkmc2lnbWFHRiYhIiIiIiIpSSNjM0dGJkYnRikqKkkiQkdGJkYqLCZGKkYqSSJyR0YmRipGKilGLCwkSSgmc2lnbWE7R0YmRilGKkYrRik=

simplify(%);

LyomKUkjYzJHNiIsJEkmc2lnbWFHRiYhIiIiIiIpSSNjM0dGJkYoRioqKEkiQkdGJkYqLCZGKkYqSSJyR0YmRipGKilGLCwmSSgmc2lnbWE7R0YmRilGKEYqRio=

# which can be written as (c3/c2)^sigma=B*(1+r);

LykqJkkjYzNHNiIiIiJJI2MyR0YmISIiSSZzaWdtYUdGJiomSSJCR0YmRicsJkYnRidJInJHRiZGJ0Yn

# raise both sides by 1/theta lhs(%)^(1/sigma)=rhs(%)^(1/sigma);

LykpKiZJI2MzRzYiIiIiSSNjMkdGJyEiIkkmc2lnbWFHRicqJEYrRiopKiZJIkJHRidGKCwmRihGKEkickdGJ0YoRihGLA==

simplify( lhs(%), 'symbolic' )=rhs(%);

LyomSSNjM0c2IiIiIkkjYzJHRiUhIiIpKiZJIkJHRiVGJiwmRiZGJkkickdGJUYmRiYqJEkmc2lnbWFHRiVGKA==

A_3:=%*c2;

L0kjYzNHNiIqJkkjYzJHRiQiIiIpKiZJIkJHRiRGJywmRidGJ0kickdGJEYnRicqJEkmc2lnbWFHRiQhIiJGJw==

## foc_4 diff(L,c4)=0;

LywmLUklZGlmZkclKnByb3RlY3RlZEc2JC1JIlVHNiI2JkkjYzFHRipJI2MyR0YqSSNjM0dGKkkjYzRHRipGLyIiIiomSSdsYW1iZGFHRipGMCksJkYwRjBJInJHRipGMCIiJCEiIkY3IiIh

isolate(%, lambda );

L0knbGFtYmRhRzYiKiYtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkiVUdGJDYmSSNjMUdGJEkjYzJHRiRJI2MzR0YkSSNjNEdGJEYwIiIiKSwmRjFGMUkickdGJEYxIiIkRjE=

subs(diff(U(c1,c2,c3,c4),c4)=U\302\264(c4),%);

L0knbGFtYmRhRzYiKiYtSSNVfF92R0YkNiNJI2M0R0YkIiIiKSwmRipGKkkickdGJEYqIiIkRio=

# Our utility function is given by U(c1,c2,c3,c4)=(c1^(1-\317\203)-1)/(1-\317\203)+B^1*(c2^(1-\317\203)-1)/(1-\317\203)+B^2*(c3^(1-\317\203)-1)/(1-\317\203)+B^3*(c4^(1-\317\203)-1)/(1-\317\203);

Ly1JIlVHNiI2JkkjYzFHRiVJI2MyR0YlSSNjM0dGJUkjYzRHRiUsKiomLCYpRicsJiIiIkYwSSgmc2lnbWE7R0YlISIiRjBGMEYyRjBGL0YyRjAqKEkiQkdGJUYwLCYpRihGL0YwRjBGMkYwRi9GMkYwKigpRjQiIiNGMCwmKUYpRi9GMEYwRjJGMEYvRjJGMCooKUY0IiIkRjAsJilGKkYvRjBGMEYyRjBGL0YyRjA=

U\302\264(c3)=simplify(diff(rhs(%),c4));

Ly1JI1V8X3ZHNiI2I0kjYzNHRiUqJilJIkJHRiUiIiQiIiIpSSNjNEdGJSwkSSgmc2lnbWE7R0YlISIiRiw=

# which gives us D_:=lambda=rhs(%)*(1+r)^3;

L0knbGFtYmRhRzYiKigpSSJCR0YkIiIkIiIiKUkjYzRHRiQsJEkoJnNpZ21hO0dGJCEiIkYpKSwmRilGKUkickdGJEYpRihGKQ==

# Combining foc_3 and foc_4 C_;

L0knbGFtYmRhRzYiKigpSSJCR0YkIiIjIiIiKUkjYzNHRiQsJEkoJnNpZ21hO0dGJCEiIkYpKSwmRilGKUkickdGJEYpRihGKQ==

D_;

L0knbGFtYmRhRzYiKigpSSJCR0YkIiIkIiIiKUkjYzRHRiQsJEkoJnNpZ21hO0dGJCEiIkYpKSwmRilGKUkickdGJEYpRihGKQ==

rhs(%%)=rhs(%);

LyooKUkiQkc2IiIiIyIiIilJI2MzR0YmLCRJKCZzaWdtYTtHRiYhIiJGKCksJkYoRihJInJHRiZGKEYnRigqKClGJSIiJEYoKUkjYzRHRiZGK0YoKUYvRjNGKA==

%/(B^2*(1+r)^2);

LylJI2MzRzYiLCRJKCZzaWdtYTtHRiUhIiIqKEkiQkdGJSIiIiwmRitGK0kickdGJUYrRispSSNjNEdGJUYmRis=

# divide both sides by c4^(-sigma) lhs(%)/c4^(-sigma)=rhs(%)/c4^(-sigma) ;

LyomKUkjYzNHNiIsJEkoJnNpZ21hO0dGJiEiIiIiIilJI2M0R0YmLCRJJnNpZ21hR0YmRilGKSoqSSJCR0YmRiosJkYqRipJInJHRiZGKkYqKUYsRidGKkYrRik=

simplify(%);

LyomKUkjYzNHNiIsJEkoJnNpZ21hO0dGJiEiIiIiIilJI2M0R0YmSSZzaWdtYUdGJkYqKihJIkJHRiZGKiwmRipGKkkickdGJkYqRiopRiwsJkYoRilGLUYqRio=

# which can be written as (c4/c3)^sigma=B*(1+r);

LykqJkkjYzRHNiIiIiJJI2MzR0YmISIiSSZzaWdtYUdGJiomSSJCR0YmRicsJkYnRidJInJHRiZGJ0Yn

# raise both sides by 1/theta lhs(%)^(1/sigma)=rhs(%)^(1/sigma);

LykpKiZJI2M0RzYiIiIiSSNjM0dGJyEiIkkmc2lnbWFHRicqJEYrRiopKiZJIkJHRidGKCwmRihGKEkickdGJ0YoRihGLA==

simplify( lhs(%), 'symbolic' )=rhs(%);

LyomSSNjNEc2IiIiIkkjYzNHRiUhIiIpKiZJIkJHRiVGJiwmRiZGJkkickdGJUYmRiYqJEkmc2lnbWFHRiVGKA==

A_4:=%*c3;

L0kjYzRHNiIqJkkjYzNHRiQiIiIpKiZJIkJHRiRGJywmRidGJ0kickdGJEYnRicqJEkmc2lnbWFHRiQhIiJGJw==

# Summary Consumption Period 1-4 # we assume that the first period consumption is given by c1:=100;

IiQrIg==

A_2;

L0kjYzJHNiIsJComIiQrIiIiIikqJkkiQkdGJEYoLCZGKEYoSSJyR0YkRihGKCokSSZzaWdtYUdGJCEiIkYoRig=

A_3;

L0kjYzNHNiIqJkkjYzJHRiQiIiIpKiZJIkJHRiRGJywmRidGJ0kickdGJEYnRicqJEkmc2lnbWFHRiQhIiJGJw==

A_4;

L0kjYzRHNiIqJkkjYzNHRiQiIiIpKiZJIkJHRiRGJywmRidGJ0kickdGJEYnRicqJEkmc2lnbWFHRiQhIiJGJw==

################ Utility Example-4: General Decay Consumption ############## restart; # Our general equation looks like c_(t+1)=c_(t)*(B(1+r))^(1/sigma);

Ly1JI2NfRzYiNiMsJkkidEdGJSIiIkYpRikqJi1GJDYjRihGKSktSSJCR0YlNiMsJkYpRilJInJHRiVGKSokSSZzaWdtYUdGJSEiIkYp

# we assume the following parameter values subs({B=0.85,sigma=2, r=0.4},%);

Ly1JI2NfRzYiNiMsJkkidEdGJSIiIkYpRikqJi1GJDYjRihGKSktJCIjJikhIiM2IyQiIzkhIiIjRikiIiNGKQ==

simplify(%);

Ly1JI2NfRzYiNiMsJkkidEdGJSIiIkYpRiksJComJCIrZFdhPiMqISM1RiktRiQ2I0YoRilGKQ==

########### Stability and Fixed point # Since the slope is +0.9 we will have a stable equilibrium %-c_(t);

LywmLUkjY19HNiI2IywmSSJ0R0YmIiIiRipGKkYqLUYlNiNGKSEiIiwkKiYkIipWYlgheSEjNUYqRitGKkYt

# fixed point c_(t+1)-c_(t)=0 subs(c_(t+1)-c_(t)=0,%);

LyIiISwkKiYkIipWYlgheSEjNSIiIi1JI2NfRzYiNiNJInRHRixGKSEiIg==

solve(%,c_(t));

JCIiIUYj

# This means that our fixed point is 0 ########################################## Digits := 6: # We now assume that the starting value of c(t) is 100 c(1)=100;

Ly1JImNHNiI2IyIiIiIkKyI=

# c(2) is therefore given by c(2)=0.92*rhs(%);

Ly1JImNHNiI2IyIiIyQiJSsjKiEiIw==

# c(3) is therefore given by c(3)=0.92*rhs(%);

Ly1JImNHNiI2IyIiJCQiJytrJSkhIiU=

# c(4) is therefore given by c(4)=0.92*rhs(%);

Ly1JImNHNiI2IyIiJSQiJylveSghIiU=

# c(5) is therefore given by c(5)=0.92*rhs(%);

Ly1JImNHNiI2IyIiJiQiJyRSOyghIiU=

# We can solve the above recursive equation much # easier by using the below procedure c[1]:=100: for n from 2 to 120 do c[n] := 0.92*c[n-1] end do: C:=[seq(c[i],i=1..120)];

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

with(Statistics): PointPlot(C, color = black, thickness = 3, symbol = soliddiamond, symbolsize = 20,labels=[t, c], view=[0..120, 0..100]);

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

# We can see that over time c is approach the fixed point 0 Legal Notice: The copyright for this application is owned by the authors. Neither Maplesoft nor the authors are responsible for any errors contained within and are not liable for any damages resulting from the use of this material.. This application is intended for non-commercial, non-profit use only. Contact the authors for permission if you wish to use this application in for-profit activities.