?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" Why is the Minimum Payment on a Credit Card Bill so Small? by Jason Schattman Sir John A. Macdonald Secondary School, Waterloo, Canada jschattman@rogers.com

On a monthly credit card balance of $1000, a typical credit card company will only ask for a minimum payment of $20. Why do credit card companies do that? Let's see if Maple can lead us to some insights.

Suppose we do what the company wants and make only the minimum payment p every month against an initial balance of b. If the company charges monthly interest rate r, what is the balance after n months? Let's make a quick table and see if we can notice a pattern. Balance After n Months One Month: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

LCYtSSJiRzYiNiMsJiIiIkYoSSJyR0YlRihGKC1JInBHRiVGJiEiIg==

Two Months: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Three Months: 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Four Months:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Looking at the pattern we have developed, the balance after "n" months would be: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYwLUkjbWlHRiQ2JVEoQmFsYW5jZUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSomY29sb25lcTtGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjc3Nzc3OGVtRicvRk5GU0Y1LUkobWZlbmNlZEdGJDYkLUYjNiktRiw2JVEibkYnRi9GMi1GNjYtUSIsRidGOUY7L0Y/RjFGQEZCRkRGRkZIRkovRk5RLDAuMzMzMzMzM2VtRictRiw2JVEickYnRi9GMkZnbi1GLDYlUSJwRidGL0YyRmduLUYsNiVRImJGJ0YvRjJGOS1GNjYtUSgmc3JhcnI7RidGOUY7Rj5GQEZCRkRGRkZIRkpGTUZjby1GNjYtUTEmSW52aXNpYmxlVGltZXM7RidGOUY7Rj5GQEZCRkRGRkZIRkpGTS1JJW1zdXBHRiQ2JS1GVjYkLUYjNiUtSSNtbkdGJDYkUSIxRidGOS1GNjYtUSIrRidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORltxRl1vRjlGWi8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRictRjY2LVEoJm1pbnVzO0YnRjlGO0Y+RkBGQkZERkZGSEZqcEZccUZgb0Zpby1GVjYkLUYjNiYtSSttdW5kZXJvdmVyR0YkNictRjY2LVEmJlN1bTtGJ0Y5RjtGPi9GQUYxRkIvRkVGMS9GR0YxRkhGSi9GTlEsMC4xNjY2NjY3ZW1GJy1GIzYlLUYsNiVRImlGJ0YvRjItRjY2LVEiPUYnRjlGO0Y+RkBGQkZERkZGSEZSRlRGY3BGWi8lJ2FjY2VudEdGPS8lLGFjY2VudHVuZGVyR0Y9LUYsNiNRIUYnLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHUSQ1LjBGJy8lJmRlcHRoR0Zmcy8lKmxpbmVicmVha0dRJWF1dG9GJy1GXXA2JUZfcEZkckZdcUY5LUY2Ni1RIjpGJ0Y5RjtGPkZARkJGREZGRkhGUkZU print(); # input placeholder

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Problem Statement: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= If your credit card company charges a monthly interest rate of 2% (annually 24%) on an initial balance of $1000, and you make a monthly payment of $30, what is your balance after one year? Solution: Let's use the formula that we just derived, where 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 and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiYkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRJTEwMDBGJ0Y5Rjk=. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

JCIrJVw9JHkmKSEiKA==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Your new balance after one year would be LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LVEiJEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUkjbW5HRiQ2JFEnODU3LjgzRidGLy1GLDYtUSIuRidGL0YyRjVGN0Y5RjtGPUY/RkFGREYv LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8= This means you've paid the credit card company

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEjMTJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUScmc2RvdDtGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkctRiw2JFEjMzBGJ0YvLyUrZXhlY3V0YWJsZUdGOEYv

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

IiRnJA==

over one year , but only reduced your balance by LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFElMTAwMEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RKCZtaW51cztGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkctRiw2JFEnODU3LjgzRidGLy8lK2V4ZWN1dGFibGVHRjhGLw==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

JCImPFUiISIj

. You've paid LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEkMzYwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGRy1GLDYkUScxNDIuMTdGJ0YvLyUrZXhlY3V0YWJsZUdGOEYv

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

JCImJHlAISIj

in interest charges...and this on a balance of just $1000! Yikes.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

We would also like to know how many payments we would need to pay off our debt. Let's set our balance formula to zero, solve for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC8lK2V4ZWN1dGFibGVHRj1GOQ==and assign this expression to LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIjpGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTEY5

SSJuRzYi

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

LCYqJkkiYkc2IiIiIiksJkYmRiZJInJHRiVGJkkibkdGJUYmRiYqJkkicEdGJUYmLCYqJilGKCwmRipGJkYmRiZGJkYpISIiRiYqJkYoRiZGKUYxRjFGJkYx

LUkmbW92ZXJHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JS1JI21vR0YkNi5RJyZyYXJyO0YnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkmbXRleHRHRiQ2JVEuaXNvbGF0ZX5mb3J+bkYnRi9GMi8lJ2FjY2VudEdGNw== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYwLUkjbWlHRiQ2KVEoaXNvbGF0ZUYnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSVib2xkR1EmZmFsc2VGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStleGVjdXRhYmxlR0Y0LyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNjFRIihGJ0YvRjJGOEY7L0Y+USdub3JtYWxGJy8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMTY2NjY2N2VtRicvJSdyc3BhY2VHRlYtRkE2MVEifkYnRi9GMkY4RjtGRC9GR0Y0RkgvRktGNEZMRk5GUEZSL0ZVUSYwLjBlbUYnL0ZYRmluLUkobWFjdGlvbkdGJDYlLUkqbXZlcmJhdGltR0YkNiNRZXAsJiomSSJiRzYiIiIiKSwmRiZGJkkickdGJUYmSSJuR0YlRiZGJiomSSJwR0YlRiYsJiomKUYoLCZGKkYmRiZGJkYmRikhIiJGJiomRihGJkYpRjFGMUYmRjFGJy8lK2FjdGlvbnR5cGVHUTptYXBsZXNvZnQuY29tOmxhYmVsKEwyNTApRicvJSV2aWV3R1EmbGFiZWxGJy1GQTYxUSIsRidGL0YyRjhGO0ZERmZuL0ZJRjdGZ25GTEZORlBGUkZobi9GWFEsMC4zMzMzMzMzZW1GJ0ZZLUYsNilRIm5GJ0YvRjJGNUY4RjtGPUZZLUZBNjFRIilGJ0YvRjJGOEY7RkRGRkZIRkpGTEZORlBGUkZURldGL0YyRjhGO0ZE

L0kibkc2IiomLUkjbG5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2IywkKihJInBHRiQiIiIsJkYvRi9JInJHRiRGL0YvLCgqJkkiYkdGJEYvRjFGL0YvRi4hIiIqJkYuRi9GMUYvRjVGNUY1Ri8tRic2I0YwRjU=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= print(); # input placeholder

NiI=

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

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Problem Statement: How many months would it take to pay off a balance of $1000 if we made $30 monthly payments while being charged 2% monthly interest? Solution: Let's use our formula for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

JCIrJFJpTk4mISIp

LUkmbW92ZXJHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JS1JI21vR0YkNi5RJyZyYXJyO0YnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkmbXRleHRHRiQ2JVEoY2VpbGluZ0YnRi9GMi8lJ2FjY2VudEdGNw== 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

IiNh

months It would take LUkjbW5HNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JFEjNTRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic= months (4.5 years!) to pay off our debt with a monthly payment of $30. We've made total payments of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEjNTRGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUScmc2RvdDtGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkctRiw2JFEjMzBGJ0YvLyUrZXhlY3V0YWJsZUdGOEYv

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

IiU/Ow==

, of which $620 is interest! What if we double the payment to $60? Do we cut the time in half? Compare this to LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUkjbW5HRiQ2JFElMC4wMkYnL0YzUSdub3JtYWxGJy1JI21vR0YkNi1RIixGJ0Y+LyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkYvJSpzeW1tZXRyaWNHRkYvJShsYXJnZW9wR0ZGLyUubW92YWJsZWxpbWl0c0dGRi8lJ2FjY2VudEdGRi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUY7NiVRIzYwRicvJStmb3JlZ3JvdW5kR1EqWzI1NSwwLDBdRidGPkZALUY7NiRRJTEwMDBGJ0Y+Rj5GPkY+

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

JCIrNltFKSo+ISIp

LUkmbW92ZXJHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JS1JI21vR0YkNi5RJyZyYXJyO0YnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkmbXRleHRHRiQ2JVEoY2VpbGluZ0YnRi9GMi8lJ2FjY2VudEdGNw== 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

IiM/

months. The time is much less than half! And this time we've only made total payments of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW5HRiQ2JFEjMjBGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUScmc2RvdDtGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkctRiw2JFEjNjBGJ0YvLyUrZXhlY3V0YWJsZUdGOEYv

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

IiUrNw==

, saving $420 in interest payments.

Let's visualize the formula for N. Below we plot the number of months N needed to pay down an initial debt of $1000 as a function of the monthly payment p, assuming a monthly interest rate of 2%. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

%;

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

Close to p = $20, notice that the time to pay off our debt increases to infinity! Why? Recall the formula for time LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiTkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= needed to get out of debt: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

KiYtSSNsbkc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjLCQqKEkicEdGKCIiIiwmRi1GLUkickdGKEYtRi0sKComSSJiR0YoRi1GL0YtRi1GLCEiIiomRixGLUYvRi1GM0YzRjNGLS1GJDYjRi5GMw==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= The time becomes infinite as the value LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtaUdGJDYlUSNickYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJy1GLDYtUSIrRidGL0YyRjVGN0Y5RjtGPUY/RkFGRC1GRzYlUSJwRidGSkZNRk8tRkc2JVEjcHJGJ0ZKRk1GLw== approaches LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEiMEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yv. Solving 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 for p, we have 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

LCgqJkkiYkc2IiIiIkkickdGJUYmISIiSSJwR0YlRiYqJkYpRiZGJ0YmRiY=

LUkmbW92ZXJHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JS1JI21vR0YkNi5RJyZyYXJyO0YnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkmbXRleHRHRiQ2JVEuaXNvbGF0ZX5mb3J+cEYnRi9GMi8lJ2FjY2VudEdGNw== 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

L0kicEc2IiooSSJiR0YkIiIiSSJyR0YkRicsJkYnRidGKEYnISIi

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

L0kicEc2IiQiKzlWeWc+ISIp

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= (Note that when we select "Isolate for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0YvRjI=", Maple assumes the expression is equal to zero unless otherwise specified.) That is, if we pay less than $19.61 per month, it will take an infinitely long time to get out of debt. This is where we saw the asymptote above! (Note also that 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

= print(); # input placeholder

JCIrOVZ5Zz4hIik=

. That is, the payment is just enough to cover the monthly interest charge.) Let's see this graphically by plotting our balance formula for pLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRJjE5LjYxRidGOS1GNjYtUSIsRidGOUY7L0Y/RjFGQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZOUSwwLjMzMzMzMzNlbUYnRitGNS1GUDYkUSMzMEYnRjlGOQ==, and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzYwRidGOUY5 over a five year period. (Notice the green curve crosses the n axis at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzU0RidGOUY5.) JSFH 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

%;

6(-%'CURVESG6$7S7$$""!!""$"&++"!""7$$"*DHyI"!")$"1)R#fR6(*****!#87$$",v[kdW#!#5$"1rf&HTX*****!#87$$"+v;\DP!"*$"1s$e&zd"*****!#87$$"1,++D<q8]!#:$"1:Va"=&))****!#87$$",v8*y&H'!#5$"1k=-WR&)****!#87$$"1****\(G[W[(!#:$"1z'=dEC)****!#87$$",v)fB:()!#5$"0@^/z#z****!#77$$",vQ="))**!#5$"0)ff@%f(****!#77$$"-vj=pD6!#5$"1_<27`s****!#87$$"+lN?c7!")$"18)=0K*o****!#87$$",DMe6P"!"*$"1#[>%Rol****!#87$$"+&>q0]"!")$"1)*[lx$>'****!#87$$"+DM^I;!")$"0&))f$y!e****!#77$$"+0ytb<!")$"1o:^REa****!#87$$"-vQNXp=!#5$"1r,$><2&****!#87$$"+XDn/?!")$"1WWuWRY****!#87$$"*y?#>@!"($"1m\24kU****!#87$$"2)***\(3wY_A!#:$"1>9Jh;Q****!#87$$"*j8/P#!"($"1F1sa5M****!#87$$"-v3">)*\#!#5$"1*G]!)R&H****!#87$$"-DEP/BE!#5$"1Nv+@3D****!#87$$",vo:;v#!"*$"14RFNJ?****!#87$$"2.+]P)[opG!#:$"1vs^i#e"****!#87$$",DYQq*H!"*$"1$eR/n3"****!#87$$"-vQIKHJ!#5$"1mTn;e0****!#87$$"-D^rZWK!#5$"17j]m'3!****!#87$$",vuY)oL!"*$"1x'42_c*)***!#87$$"*rKt\$!"($"0yYJG,*)***!#77$$",v:JIi$!"*$"1Pqtme%))***!#87$$"-vo3lWP!#5$"1sSS>4z)***!#87$$",D#))ozQ!"*$"1dF8R$G()***!#87$$"2'******Hk-,S!#:$"1HGji1n)***!#87$$"+D-eIT!")$"1N[\Jvg)***!#87$$"-v=_(zC%!#5$"1$z)e4*[&)***!#87$$"1,++b*=jP%!#9$"0")o:C$[)***!#77$$"-v3/3(\%!#5$"1)\J."*>%)***!#87$$"-vB4JBY!#5$"1(e'*=2_$)***!#87$$"2'*****\KCnu%!#:$"1>`m(3%G)***!#87$$"-v=n#f([!#5$"1(3Z;66#)***!#87$$"*)RO+]!"($"1#zc(R!R")***!#87$$"2/++D0>w7&!#:$"1z&4fZj!)***!#87$$"-v)Q?QD&!#5$"1daRLm)z***!#87$$"21+++J'yp`!#:$"1;?')4V"z***!#87$$"20++DM'p-b!#:$"1*Qt.NHy***!#87$$"2'******fEd@c!#:$"1L,#QW^x***!#87$$"20+](3'>$[d!#:$"0FDSLmw***!#77$$"-D6Ejpe!#5$"1lZsZGe(***!#87$$"$+'!""$"1-G8m3\(***!#8-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7S7$$""!!""$"&++"!""7$$"*DHyI"!")$"0VG)3`%4')*!#77$$",v[kdW#!#5$"1GA&pp*)pt*!#87$$"+v;\DP!"*$"16xU*f5Uf*!#87$$"1,++D<q8]!#:$"1,)GW!QyY%*!#87$$",v8*y&H'!#5$"1'z/<uviH*!#87$$"1****\(G[W[(!#:$"1z3!4G!G`"*!#87$$",v)fB:()!#5$"1i]Y>ni,!*!#87$$",vQ="))**!#5$"1sK!z]\3%))!#87$$"-vj=pD6!#5$"12@V=O]w')!#87$$"+lN?c7!")$"0MrCx*3.&)!#77$$",DMe6P"!"*$"1O[BI**eY$)!#87$$"+&>q0]"!")$"1'>FsL#4m")!#87$$"+DM^I;!")$"1/i3e"R,)z!#87$$"+0ytb<!")$"1"Q&G5SN'z(!#87$$"-vQNXp=!#5$"1/eYaZYDw!#87$$"+XDn/?!")$"1XD99$)=<u!#87$$"*y?#>@!"($"1>8$RjMjB(!#87$$"2)***\(3wY_A!#:$"13!)>t<t?q!#87$$"*j8/P#!"($"1QZuN=3Do!#87$$"-v3">)*\#!#5$"0`_op*40m!#77$$"-DEP/BE!#5$"1X3&**R>.R'!#87$$",vo:;v#!"*$"1h'*=l3cgh!#87$$"2.+]P)[opG!#:$"1wM0ldNWf!#87$$",DYQq*H!"*$"0u$)z67aq&!#77$$"-vQIKHJ!#5$"1zOWmIv]a!#87$$"-D^rZWK!#5$"1'*)e\)\dB_!#87$$",vuY)oL!"*$"1N@sbqKs\!#87$$"*rKt\$!"($"17"yWV#=1Z!#87$$",v:JIi$!"*$"1dng'4w"RW!#87$$"-vo3lWP!#5$"2O.!)f&)HW<%!#97$$",D#))ozQ!"*$"2C7j0t1H(Q!#97$$"2'******Hk-,S!#:$"1i5Fn3,&f$!#87$$"+D-eIT!")$"1dQ/mN$3H$!#87$$"-v=_(zC%!#5$"1N\>kDQ3I!#87$$"1,++b*=jP%!#9$"0%pF/@)>p#!#77$$"-v3/3(\%!#5$"2y!f8)oSoQ#!#97$$"-vB4JBY!#5$"1-WWuF)*f?!#87$$"2'*****\KCnu%!#:$"1iOW(QACt"!#87$$"-v=n#f([!#5$"2YwjKm53Q"!#97$$"*)RO+]!"($"2$[Y#=>bN."!#97$$"2/++D0>w7&!#:$"1B5hq$[Zp'!#97$$"-v)Q?QD&!#5$"1jUiEjL#*H!#97$$"21+++J'yp`!#:$!1&HQj6IM#\!#:7$$"20++DM'p-b!#:$!1NftXc%ee%!#97$$"2'******fEd@c!#:$!0o!yH]_R$)!#87$$"20+](3'>$[d!#:$!1<!e"pp-W7!#87$$"-D6Ejpe!#5$!2:Y7V9zik"!#97$$"$+'!""$!2&omLyJY*3#!#9-%&COLORG6&%$RGBG$"2'\_'eM%yg>!#<$"1ij9.e@R!)!#;$"2'\_'eM%yg>!#<-%'CURVESG6$7S7$$""!!""$"&++"!""7$$"*DHyI"!")$"18P#eFB&f%*!#87$$",v[kdW#!#5$"1Nt4RNtx*)!#87$$"+v;\DP!"*$"1UrT?3yA%)!#87$$"1,++D<q8]!#:$"1L/FmMw\y!#87$$",v8*y&H'!#5$"1vY)R')pZE(!#87$$"1****\(G[W[(!#:$"1OI9'=w*3n!#87$$",v)fB:()!#5$"1%[4"o-`>h!#87$$",vQ="))**!#5$"1RSi:Ei%\&!#87$$"-vj=pD6!#5$"1XQx_U%e&[!#87$$"+lN?c7!")$"1*Gx]i?==%!#87$$",DMe6P"!"*$"1JLS>#QNd$!#87$$"+&>q0]"!")$"2B@Zr`")>(G!#97$$"+DM^I;!")$"2OA#)Q7?#\@!#97$$"+0ytb<!")$"2Wqn%)R&)[V"!#97$$"-vQNXp=!#5$"1eSy'GVnq(!#97$$"+XDn/?!")$!1BpBnnH&)Q!#:7$$"*y?#>@!"($!1'GR)po$zT(!#97$$"2)***\(3wY_A!#:$!2Cw!*)eszz:!#97$$"*j8/P#!"($!2L$3=fzCSB!#97$$"-v3">)*\#!#5$!11XQwGF&>$!#87$$"-DEP/BE!#5$!1'f)R8$z+.%!#87$$",vo:;v#!"*$!2Xp"G_I5B\!#97$$"2.+]P)[opG!#:$!1<Wv.uWjd!#87$$",DYQq*H!"*$!0zOywr@p'!#77$$"-vQIKHJ!#5$!1xvSZ'y>o(!#87$$"-D^rZWK!#5$!1'3r**ps\c)!#87$$",vuY)oL!"*$!1Tx6b7_T&*!#87$$"*rKt\$!"($!2i.Lg,(fd5!#87$$",v:JIi$!"*$!2&eE#z$oPh6!#87$$"-vo3lWP!#5$!1o4#p?yUE"!#77$$",D#))ozQ!"*$!2%*QVx)RZ"Q"!#87$$"2'******Hk-,S!#:$!2<-b@M'[*["!#87$$"+D-eIT!")$!2cBGgu8xg"!#87$$"-v=_(zC%!#5$!2uIc#)e'\<<!#87$$"1,++b*=jP%!#9$!1MWA!)[ZS=!#77$$"-v3/3(\%!#5$!2Dsab,x!f>!#87$$"-vB4JBY!#5$!1@Jw-*>h3#!#77$$"2'*****\KCnu%!#:$!29=nn#eV8A!#87$$"-v=n#f([!#5$!2K3aj++,N#!#87$$"*)RO+]!"($!1QM"4+r][#!#77$$"2/++D0>w7&!#:$!12`Uy9eEE!#77$$"-v)Q?QD&!#5$!21mB.b'[qF!#87$$"21+++J'yp`!#:$!2$3%[Q!)Gf!H!#87$$"20++DM'p-b!#:$!2W4(GbZ.lI!#87$$"2'******fEd@c!#:$!1(e*G#[K4@$!#77$$"20+](3'>$[d!#:$!1\UJ;*>.P$!#77$$"-D6Ejpe!#5$!27tm"))pmEN!#87$$"$+'!""$!1WF.CM#*)p$!#7-%&COLORG6&%$RGBG$"13$GVp>!\&)!#;$"1_MmX%)eqk!#;$"0%z*\.-\D"!#:-%%VIEWG6$%(DEFAULTG;$""!!""$"&++"!""-%+AXESLABELSG6'-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"n6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%%FONTG6%%(DEFAULTG%(DEFAULTG"#5%+HORIZONTALG%+HORIZONTALG-%%ROOTG6'-%)BOUNDS_XG6#$"$?&!""-%)BOUNDS_YG6#$"$?"!""-%-BOUNDS_WIDTHG6#$"%qL!""-%.BOUNDS_HEIGHTG6#$"%gM!""-%)CHILDRENG6%-%/TEXT_CONTAINERG6'-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"1s6?1^EY;!#8$"1yDk3^q+A!#8-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$"1s6?1^E"R"!#8$"1yDk3^q!4#!#87$$"$5&!""$"$?#!""%'CLOSEDG-%*PARAGRAPHG6#Q_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6"-%/TEXT_CONTAINERG6(-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"/DJ?LlRE!#6$"2Q%[rdmQ&e"!#9-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$"/DJ?LlW@!#6$"2Q%[rdmQ!H"!#97$$"$!**!""$"$!f!""%'CLOSEDG-%*PARAGRAPHG6#Q_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6"-%*PARAGRAPHG6#Qc]lPFBhcmFncmFwaCBhbGlnbm1lbnQ9ImxlZnQiIGJ1bGxldD0ibm9uZSIgZmlyc3RpbmRlbnQ9IjAiIGxlZnRtYXJnaW49IjAiIHJpZ2h0bWFyZ2luPSIwIiBsaW5lc3BhY2luZz0iMC4wIiBzcGFjZWFib3ZlPSIwIiBzcGFjZWJlbG93PSIwIiBsaW5lYnJlYWs9InNwYWNlIiBwYWdlYnJlYWstYmVmb3JlPSJmYWxzZSIgaW5pdGlhbD0iMCIgYnVsbGV0c3VmZml4PSIiPjwvUGFyYWdyYXBoPg==6"-%/TEXT_CONTAINERG6'-%(SPATIALG6&-%&TRANSG6#-%'VECTORG6$$""!!""$""!!""-%'ORIGING6#-%&POINTG6$$"2vV[r2a5<$!#9$"2%oDj/****\K!#:-%&SCALEG6#-%'VECTORG6$$"#5!""$"#5!""-%)ROTATIONG6#$""!!""-%,FIXED_WIDTHG6#%%trueG-%-FIXED_HEIGHTG6#%%trueG-%%DATAG6%7$$"2vV[r2a5r#!#9$"2%oDj/*****R"!#:7$$"$?*!""$"$q$!""%'CLOSEDG-%*PARAGRAPHG6#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6"

The balance virtually remains constant for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnL0YzUSdub3JtYWxGJw===20! Now we know what the credit card companies are after - they want you to stay in debt forever!

Legal Notice: The copyright for this application is owned by the author(s). Neither Maplesoft nor the author 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 author for permission if you wish to use this application in for-profit activities. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= %!GMFNWtKUb<ob<R=MDLCdNVZZJ:@L>T:^rIADlkl`N\\@Nd\\QgqxHQJNmpdYK]yRwMwmXquhLMTqUdJUEpMDPjXLODpxqN@lXAlXqMNBlXalLRiuWysPyqyhKYIvUhyHimstxXImsuPPyJ=asV@ukpXwUWihpqqMeyuyAT>LJ;@RZ<LB\\J<DZh>ffA\\;?^J>;>BfZ^>\\B^:ZFva?^vYxixI]gyxYxixImxXwtwgciaXxtaP_Vyqyqyu_paYu;NrM?ms_eWAj\\QxvwkC@yWoZhvytffAyp<Ixjad@O_QqmdqcI?dWOxlqxj_xUwscfwXnhXvoyVeQo`twnifv\\IxQileWaKxpEaqwaxAoaGQxr>evx`UGsa>\\B^:At>uFuyYaaXs=yGQvkmwn;e[Qi:OxMerqYgxYbKcGo[dkwrhkYuiwqOvQwUxEGxwyxYy\\]tbGT_iiykyrYFWyg=GD]kR^_bkaiM;ShwyoytYEwUYrOyyp=DtcrCyh\\QvyOvhaX_yEi]ikQsredq_UHce<OxRwvWExQIYY_HMwjj\\Nuts=tqOtRXtXW`xs=MtiolXTthQwIYaQvcaxlpoUuPv\\YyqwGeyDYxMxnoXtjaPaIwiYovMxt\\nvEKWpWyduLxSZ<LBRQcedyyokdDWFssHKiXkMBxUyr[I`kFfSugSTjCv>WDPSdImIsEHCaFM_c`sB[]gkord=T@=yYQT;CR=Iy^YdIMtiMBYOVDGGLYsFaDE=cgOCA[vmSsX?E[]ekmrcSCAwvsmfWKEdCvLkEYqShUuOsRe_yMsCYCdpEs\\WtkUYxitZ[Dy_VLQGGkyxOx[OxkaIBmfhgyDmuwGS]eTWEB>IyeygyofaadpugqkI]?ftgTakyv_IvoWNIYY?YNoHQWSWaiqWSsowcoeuyyxAsAwXNIeLqROmUWAg=ieNwsZuM>LZ;@rRHwyib^h\\PxkKP^\\Q]ifhWWfcxc^i[P?ixG`J?xSHg`HmDHl]vbPP`horKNeD?v=y[y^cYAgqN_rNZFIcGwcJFicIc[Gd[IaCw\\;XgAXmLxfXieB`hwXt`?`_yd^adkWakiwn^qV`aHQ__>pSGaLo^dVcywuiHi]vwgoytOdd?oVQ^rqyffh?GwQWbZQqLadqpidHZcob>GxNIcyvsrX]SPt_Q[:w^[Q`mQ`jW_\\wi_YZ@i]q_u@xyh`lH^fnPlI?q[gZ<Fj:At>w`tyiIV^Y@c_neGXq>I_XWnaqjDAy=o]k>d:Ytx@y\\Yk\\orSvffFyA@y@g\\aagc@jZHtFQ`Ea__a_iocJQwFAnu@r[NbtiwPv[KndXhd_AgAa_l`oonmHwmCnwn^nsW_YpoSvhuoxrPcSVgOpZOxbH?pwofVwta>mZOjLQcKg\\aWoSO[yoe_qldFosXisg]La_<Xe__ipW^aFvwFgjA_JNm[@vqgeeyjTQbXop\\nxLotuh`MY^sGqonrOxyx@sAwsc^cqV^mqw:wp:`tKxcZ>\\B^Z@p_tftyYq_gb[G`@OqapbhIbZYg<xZuAy]amI_aximqoucnnUpgtPd;YxCPwvgiigwW?pvN\\KV`aNmGAvEPhNnjBWghon\\YmFGdRgwl@jBQvZ`sMv[yXqcYZhanGFarFoia^BYnu@aCG^N`edasZ>xhff\\`iB`lDokv?sQXe<Nwdnk\\NwXpbOXkTFpUGavon;i_\\neAaviGeapitoi^g]biooqr]IdX?`;oh]piCo`hq\\OYdtPy\\v]OIeOyeSgnrwphQyiH`CPqlI[>NZ;L[XMwyquhmaqMw\\YZQJletpIkPInjlyBmo^yRhiV:`Q=yJmiRbIQqtWCAN^`NBUqKDLNDVeXn:<Q[EtF`OTMt]ukwlTVyYyiycYx^YlImLYaYmiStmwSyVYhOCtWyEx;yJY\\LYiYqiUSxLKPrn@J`XKx<YDywEtOv@lPQtb@Lthvyyvm`th`t[TL^UTA`UePXsen]`YNEvrAv\\Xx\\YkilloanOxwYuSGDUPiKd<P[YyT@nYpYtIO_HU^=UmTMvtSVqWSUsQilnaJdquuuwwxtjpp;PptEw_xldELfeq]pX\\@YYpYtIwXtL]eX\\XloaqMmPimqsqVkYrItQnYUxLOEusadwniyqyuY\\T=@TIMxC\\J<DZ[ho>`hdxyQx^@p^EGZvIZq^^kOZp>hlIcGG_cfuT`jhqZAi\\Qa\\aOxWFrdphBg\\dgc[Ogopa<^th>alGldgZSo]^h[DWavAw]xkDxvXXih@aqaumWkUpgtH_wqrWYkjvkrNvBppsqlYQieioC`isXoQ`jLikS^e\\AbSQ^IwwxXyhWj`>uGvyyFsYioI?s<FmZVmtN[b`v^EIkDkWvIwIx_gV]bsuJhAOgXQwHu`msq]qLUR`HtxPydYo?iPQaUMMUYal`EquEoxLOhEORhqSumj=x;yJQtNW`XLEwTmrqqOu`wL]Mq]ukepXyX?MtqxNhXyxUqTtqfxjliPwxxXYYMUmdyov=KYpKOPXJYYbDjI`QlAs:xUyITAmQ;@RZ<LRLmbaXyywhisFhpiuqwqX\\QYb<QtpKIMTT]YglWqpNbTQgtUQ=P>IK>IJWEKcYp<LNl`miUnOurGqRx=xtAwyQWehoP]wyxyxirdTofPTfmpSqV?qYuiwQ]sktrVdKiQPEdKSIlOQjrDm?tYjIrATtFlqiYOfhoJqMw]xKQxXXL>ux;xT?`s?TngpRmUpKDv;mYOtRxaSH]nmEM[`WgpqtQwctsldqkuw[xjXLOMqw[MOVtsqxrGMYByVOMuWEwJyY`UosmUD\\j^MvUYot=MvUVKATSXn:EOgPo^]v[ilQmUc=WZyRXDY^UrtuMKhT^uvsAvUXWl@rrQu>tucUkvmyrYvIXnKlYNdtAlMr=n[QyKyRYduJmuvTRTHph]vh\\UhTwcynYpQS]uNpQdauLUSgdTvqyuyw_eYaIYLYsaPwVYLf@Ox@yxtugMkqISApuIiVfiv?eu@mOhQPb@qrxlYuTXETL\\YgElQiM^MRSAlpDOS]q=hJLYvQEqbpoe\\YDIvUyWyhOmypbQnEpLulwrXV=EmdhkrXuSxpAdpSusemuP@o]PkutlCLxmYWXpU?XotdtUEybdmXpRIyYZ<LB\\KA=YyUmIMWPEXMPoklPiYxStxv]mjqQrPWf=vqPys=riuMIvv?HyPVxgPyygj[nwbiyyvyCv\\HvlmWaLAvXDQaroqTWeXOQdIArM_YliuqMuN]IHIWWmU^idvGiv[dy_YfYXhWtgGxeGutkDkEivIUquyYsvyuy[GU>;iGcSscvNgCTaVxiuY[IkarMCc>ksxSyfifZqWsgvP_TZ;dI]hCihQqUu?epMucUdeyrpWuhUePUuYgYpIu?QUeegOoV<ISAQdEmGS]ivQxEirQuUwedfOGUeWogTSkyFYHIaeXIUsevOWcostVUHgAw_gRGaiuUygyhaccrefOoTDMBUAV=gCL]IVybJoEn=t;EgZwWrGv@OV=iCq[GWITJ]epsuvUxNss`WehMUf]ikqr_QrUCDKmuyCv>WDLWcSAy]ycY?sUCVguhWqXcuw^YTHEI_cfCwxb=e^YwlYsisGh;iZQb>MxVEs]IE^=XRIVAgF<_YdIgaofnTYiiqqMl?LX^HNkToypstTw^LnxEx?yLaxviPqdQo\\euoutGEW]PpxMycyncts^yvFYPIaSkEpuErPXUhEUf]pKqRcdQtuMMPMiyoqpeLYyJniBXyawmwolT^]lW^g>s:xxHWagapNpafF]QpetGgDYwvYxIymLQi_ilQo\\qouswfkAy]ykQv\\X?i[Ou^AjrG_EfgYqbv?__`a=oqP^ejGrnX^UitQweWP]sYdIgaO_ayaymI_h?pxQyey\\Uwgwhhdvd^_bWAm[ojSNk=y[y^qR?f;hZDHeagmofnEys:A^hNr]qao_jgYvhhqpQun@jdYvIxaHGy[voBqj@ny@Y]i_nHafshvPXc_Wsw_lVNvMguJQjmX]i_qk`iYpsIPh_^sAx]x?aOYb^IrSPaxXpVqwuxwXPrw@w\\XkDHoapmt@meoosPsr?iIGxJwaoq[DQteyoypm^GbWyevGx?YlfqmsovS`th@[=xfOo`^imtFqIqauantAcSFhW`hVHh@I]ch[KxcxxlXOica^UomOgyW_fKhbLomiWqgqp\\gjOndbfLeW^qvUwWHeXFeeYCw]qIcufWMTqOxgqh;Cw=mERmTBwepaSsAdp[V?gBAoHvSufUh__yJoTdYFw]BP]GHQG<QrBuY;=UvWSv[bMQSx[f_Au]ucGMsECWVmYsivEGc`Keb_TJSB;?RZ=I<yDRUH@qwjWrHcrQyUyee@AhWuXWihVSY[YSFGCFmrgCh>QDcwY`]c`]cZ]c;iFCkCAYyjUC@Yd=sCv;HGwBjeiekgrOFGmReMdToyUkslmtSuV_SwuOysmgKysmCf@sv\\IIN[C\\yba;tyUra?EmKwHwcnIxAaEm]S\\aRQ_UlESTSH`SefMhNkGvKVTGW`GGs]BM_vvwCi=VFwbYMGVmrssvt]U][UkaF^EF_;sasx>iB[ACBqCxMGx;Ba=vtQREcGN_vAiXrgdEavayeymSD?DlCtRythkYXYEeSdxGsMCWOseqiHAIYToBFQGLuu`oDZmh\\Ob<MGc[BVAXJ[x;sBV;TfihQqUc?HwmRTOsnmusuv_KXHEvaqw[[UA?SMEvvmtWwxQAU]ec>]hsoBKIf<KgKIR@Cgv]iI[hX=FYgV_GVrQI<cYikhRQVccsUyWygYtABByHGgcDkRx;yi_y=]caIeame\\qeumwcsDwQsIAlBPtb<TrlLX=Y[aTkASattjEU<<mPDyi`pKpXBayQxUxEuJEJnTMhtlttXIItw<XBINA`NeeLiYsvpR_uR`yRWdXNUr\\YNy\\WKpS;PP^tybdK>xJcXj^PTP]YJmQVyjLPXPQjgDsGpSEeKQPp[lSXiRS<lVHOmeledx<PYmxwxXy`@qBtuQIpjaK>Tlr@YiEm_mlCemZDvvhxPYUC@vEQJ<lNW`XLalY]udpwuxwxPTx]Q=DxPhx?LJeHUGlwcXx`pSKumCTRxHndxOxTN=MQBUxXXYhImDQteApAYj?MsaMTJmTsammmssdnUhmfDRXmPdALBuKIQTa<oAPoq\\Sn<lAMtCmQOmNNXJlaR[lxnDoGdvg]Js<sIiltLrZ@TOqOmUKdPsO`XBisIHrGpxHurDeq`pybpsLurcxl^hkt]nxQjvAoGlpLxkPqL;LxwXtHUQ_dJelLbxJ<Dj[qKoIxFxSFhqFXKnyoJTY@aSf@wVunYmVfDtrAKslv=uMFaN\\txZltTtLSTn[DoTtoS@mOqjj<RudTcxmQuuHuQipQYUvPDxjlRklmCxLttRemtyYP@Dnb=kaDrS]vX]Srar=DsAixUyPAIjQ=nVDPpHxU<n^<Wf`usuvWXTRLvC]YeELt@q_Dv:yvRTvZYXFXyBQkuMxHDVF]Vl]kklLbUQvuMuATDPXS`KPTKxAMyDK?]vQPKaYkR=oVPq`hwPEmKqmrMvCXlpek<AJsxL>=RWUXQDkZmJU@xJASwUMVELZLr^PV]@vjTQFaSp@Jcqvwfr:HerofDIcI@cdFgP_ysIeONs]ppZW^I?qm@lp_`pO]i`iKfbf@qaYe^PgKy`qId:@suN]rflNV[:FgA@nCGu[o\\YfoUOsOnyB@g\\qwlannFkvqvAVvBaebxx[vqlg[L`gCYpuhi[v[xhhlyvNWdGgtJvdx@iVxuBadlWoTYmUgkXGvZ`[rPvQxnSP`?o[FQ\\JI`[@rZo[_qmiwvEhf@ww\\VbT>`_Wj\\`jo`b_IcT@^XahN>sWwtOxiGAnMx[vyacV[OybgXq[`iSwd<`ixvyvYxKqs>H^I`liFgw`wlXsLQZpofU_m>WtCA_X^\\lgrEhb:Ox[yhx?tKgtXwvbng>xru>lugaIoaS>bbAjCwqNXaiaoWGbOhx@p`<`sca]Cw]m^dBAlu_j]Y[jauONtGGtnxswnxRY^OYfNncsHv[V\\fnfBajjHmwOxtinj^dQaqgIl@qdlIZnOuqwuwwhLX[o_mH`qda_O@bZ>\\RngP>\\ko^N`ZtQcGolCipTXwnYsVNdgxhR@gm?oyojiA`;YxTYgihnkn[xhr^x]>huIN]`o\\YH`T@qjpbbxaaypmWZXhjIHrE^rEFk=wb@_pdyySV]mqyYH`A@hK?_Hoasav>Y^pHu`Wm>ijNxaGHj\\qiTV_VXp_aunvaN>eeGnCxbDgjpok\\_[?oa:nyCA]eH[T?^s>\\YNpGiuFiyB?j;@kTy^[xhTncxG^j>[RNn`ab=g\\?HmD?kVNm\\XlIG[Wxg`opswuC?[TG`^`]\\faiaqmq`RwaNArb?dRx[c?aJH_Yy`TglCIknP_Pxo?Hx=pgVGmLo]VWoQhnZv^RQyii\\S_vVwsZ`f:OowiahY`eFb=qvUW`eA\\aYwhXqhfsZXb>XxWy\\Bwqp_]mwqCgv_viY_nnvsmvuHOuwv_Hox>_uOxovHrtF_oa`th\\Bgx>i\\Sfls@kcnvZ_sN@qBInF`orPvDh[AH\\cneXYrwQkiOa\\^\\BvuaXmaAdZG[Qvd^NwYxgcyvsAdwftuQwZFsiixQyeYAlQwua^eoI[lisf?[YeuowsOVaivNwf;iv_YwuMxMIuCssqiGQOX@GgV;dIMI[ewnmv[QInuScYt>GbdqeiEbb_YrIrIoi?wEm[TnwIp[fZ_EJ]crmdpoSUaR`[UIxPQ=XWEppaXpaNYdteLxEhRLiu<QRsAK>LJ=IMTaXBpQKTO@TvYlmQ<UU\\r=ATX\\tiTRxIpjXPS]ru=q]DxvprnEOk<JXhj<LJRTWnDsdxkImY_QS=prUEUjhmQLWf<LAEWPyye\\UtyY@aM?irrmj?qRvLjCLSruLhTwHiyvMVgtvtDysxLXxoVQrhhkv]mI<wBdjv]qO=yleNQAQ`IxHllmmo@\\t@myLlqDtPQar[dVbTLNMJa<LL\\QO<MgHUmpod\\RdLQOXK\\Lw>HuC<NxdkltMtDLaHxjpK@@p[tx>hnWtKNpOvmulMXOxwD<v^HLLXk@Xsi]OdLUvuoDYwkYySHOl@JbaXt]oT\\PjEyRIRNAs]tu\\tmbdKfxj[lSalyDXkqaR`itZhuw=OyuUmtuXpRc<PLMJvtKXAm>=QohlhDv]TXQmSNAKmYrFdmNlv>plemW;TthhSnMOFAVB`sE`ku=ulUK\\tYRHQShjJ=uThnadkn=qTHvKMusmjtHNMMWh`vbIQdAlPDp[@VrqW^MlmPQQDqcISHQTfavperfELUHM^Qp^yQP]JomWh@u`iMWDY?iXI`q[Eu<mUvqVpAKMuPD\\MkMW@MsqpopMlihwsHMn]peyjTAkuXxc=PJUq^\\U?N[_nn`ofR@d>?lq`cNAsGVkBx[Rnq?ppVq\\_@vuQ^B?tDoa^XghIqaqccqnXVfdwf`fcaOr>NZ;@rjgjr_Zwo^e?xbYb[A^vyfg`^ZQqr?]DnZwy`]sAGsEmgCWE[_rJyt\\?f:Yvj_WMkCiYHcawhSrx=ujmYTAiMsWkQRS=GNygmqSeoyY[sssvVGGG]UAEYtcynYtEixy?xB[gY;GYKXgQFwKUIGBriUoCSg_xCWSrIVwMX?QDYWFfKvxsyvYxMiX^urRuCjQY;WRjkIssXEIIKwcwEieix:Eht]vyyB>aDYWGMkiQMhIqWDUi@yvHWWN=Ex[T\\EDSKGjetfgFQAFp=y:KTc_vDgfr;y@if?sh_;Cewg]=rwsB_ibrGH=GsN?ST?gr=Da[g`KFaqW@]t<EVcUwtcHLoRBCt?iDESsF_DYcv=YEVos@ArlWr<UuGmHSaF_GCm?FDIbPAVJsEPEDlAs\\AH?ifH=RuoRcGRCmgTuW;wuwoe=iSB]FYyuaGFk?UFCUluc@icL[biafN?bV?xtUrN_YjEXSiWqguDqCFeveKTd_y:=yKwCcUxnSW`CRkIy[md^YEMUGEGdKwGxtSvDx>QXptugpVh@qLmMfXtZYrmMKUxKqAsadvF`KZ\\wNINXHVkxQsATaqvu`ksPXEhT;PQ>yJBQM`yVd@L@\\vQPp?aNftxb<r`eJhtOYHt;ml:pSwtmwxsIdT^\\QdyJcINY=mWHT<=kYxydxs:HmdlJI`qV\\NudXlQX[UTUDV`As]isqUrjiWEdTh]rc@qSuj[tTs\\l_lJ>Ds>dRJYsIivZYlKlMaUPsAJf<VbLQfXV;mMRMjv`M=Dj:=VrLR]]l`TmbYRwuVDekCMY@hJ`ak[@X<lLPUrcpKw\\xJQXv<Vf=VF@VfHJVyvSeSPEp;pK]qKeMNluSDPOHENX=s>YOyIMiISY`Q>MUoyiy@m:n^G_ky^xyAx?no=I[k`oJn]Vfkov]TVpBV[QHfXYjIIgladcgfvwfVwjMPra@[UHhPWmVfuowtWGgfnvqFhBXojnsEGu]^grwZ]q]sYhi_ZY`iqwheGs>WlaXZOiZe`v]vyp@m`Yfq@Z`?[epkNwgQpj_q^mvm_p\\sqhYHiBPZA>s:_kNvqFGfspnfuV_csWyC?sicDDgRjOXsITvQI:sCLIwm;wvqVKkDmsuhYHhIVDmSXwR_wbqETZ_yXWWvqioWgyUhbMCg]EGwuMYfDKGqoD?GB[mb>MveCw^euGadTIhEgEY[hHGRs=Fh[YHCWJoeisHQMYxOxWmcvcyvsbLSRsIhpqb@gbuuDhGXhquOweBmeAGwsYsWMerwfgEVK=fJMEw_WdOxXYTrKgY?UT?xOaFfcfIshZkDZGtcMhmkdIqxuOb=YhFQXJoFswxsEEbcWNYHNOStsSiWi>YbeMdQiHCibH[C_ABECC[UiVQxpQwlgTWKfxIiegDk=dIew>Ivh[UdsbVagGyWoGDXigdsXyqsEYTYAiZEHUcrtIDwSrhIUXutmppddUhqyBqkVes^Yv_ykOTsmqMB\\J<TbvxqnIsx`iwVbxntbI]Y@hDy`=Gxk@rAalvxgHyr[vvYOkIVkx^qJnk`Ig<YvZpcyysio\\OYki>_Fnt?V``VaI@\\yPtP?rTW\\VXiR?qeppPyyt`yNx\\\\Q^h_\\c>aKxvQnc@ajdoaXvdG__`aethmVfqSgyBYsXFemXgcPxaF]rqkRgvTnuXQmH_^>v]fYu[GZkYbE_pOVmYYl_F^yV_>GglwyqPouq]pXb`p`pwy[PPAi^YGBCYaYdagcYQxC[di_VXsciqC_yw;cieyxvsEXseyUdP[ujMg^edaYUEOhwsis]etmTIivcaxeiTU=HaysEmDhqf`orbGE<[vG;HWOho=hYKvaoR`ie>wbcIWbIShQdKeTSaT_iia?XNoYQMHwEHwwd]mGYuCYoS>UC\\Qxl;tm_st=GGiTo=uW]iNIX[eb;EbjiCPKgtkfvout_YRgfCYw^wvaOgfWxtSgpKdqGvdwwv_EnieaieeEYWugMoGyyuDmIhSevsw;?RZ;HVGvwqXHIVlIXyOcmaH]iUxkD^aUiGEqUgDwTv?HywTqwyAksQ[XWyr^uEeGRHiRUGxkCYaaTkeFIWIISssWUOAuTacEuX]MDgseBkgLyBvayIsyY?iOeum=RVifBCVDUEX;w`keP=FY;iZ=XXABT;GsIracU>GIvAruyBsARD;sPcwrUcgkhBue_udWmhVUX[yvn=yFgy:=s=_d\\ctGCe]gV<ow^]u>YrsCGxmiFCw[gElmhDcxqshrcC@SxeuHjsuvUx?_Y<Cb:=Ftyybyyu;rI]XR]fNwCVIsrsrFmrDCGYKyWAf^ohD?RuqwuasemiYGxZmblQvxWv=GWQCb;AfZIgHAWkghxYs^CgWYdNuflUDeAe>WiMIg;IsvIGmuWaCfWisnoVCYIL]V`qW;OSQWijgCqqSp[vM;C>KBKyyAuyYqYrqtvQXiuwGIETeGqEr\\edxoXCMthuRTgfXKG>CuqoYOIVrCfv]hIURPCXpibwOHQIiFihZkuIKwS;GD[dFqbxos`sH_qX<KuJCrWuEwou`qIaoWLcw@My@Sc<[ElIC>KB;?wyYfyyWYKxouibQCfwTkYx[QelYePEDj?FSgbYaGZgtpUWOECR[s>CuaedmirCEbpaTLaY;ygtsBSmtdoXIOwgoHWictKveedtGtCGYxiiXOisCuwIRwEdw]W_SU>_Y<C:JJXM;lP\\HJspmJxSXpxDEJ[@nrLSXXxo<kZ]tbHTcLRWlUp\\TF=UhqjOeXTMYZxwleOeTmWlkaXwhHOuIV>Hy\\Mv;@lAtulqSg=nMql:etEuWmmYPXkXHxwIrmYpjljueyEDy>:vgy`iKX^uxhcAoCnkF@t>aoEAqdWZ]plD>[EfeC>d;VyPPmVY]D>t<peg>baYrSX]LAx<fwKx_lgd_hnHfkVFal_`sVo<QhWXy=Fb;FdTGy`feLocuhpJh_Y?aaqf_wc=NkCFw^q]caktX]lI[>:vwn`mm_`Mxofvcgfd:?c]^vKfoKxU]uw;RhaHV[e]KracR^;tX;glKTQ?g=MgQ]UQ_e_?g:Gb\\_YbgCJIVKoEN?Xokhh]fIMhLUiMyyvWX_yHcUvyCWGOiU]HNGTByFJ;C>KfyycxyiwaE?UDrQXsUge_uo_h:?yPyeTiI:ICJAT<wGBuW`Gu?KyhGFuUrqEupOiy;DN?DOIdkcdpOGseTg[SiWi:[WrGF^YDB\\:piaAyKW_qX_YW\\VQd;FsIwoVNcu>f?NZ;@bZ>\\B^Z<byAdx=tfExs?TuAEmuu?=rI=iHgU>KB;?JZZ@x_lWj?xm:puafZ>E=yC]UsiiB<Cb::XUCDwCiydxTD<SImqUMqQLSB=NJ<;?:[t?Acxoibcr]kSEsC>KB;JB\\KY\\TWLugQQ;UoWPRyyk@elHhVplTJPW:<J:<j^PNaLNQENjD5B\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIjXSEiIi0lKUJPVU5EU19ZRzYjJCIiIUYqLSUtQk9VTkRTX1dJRFRIRzYjJCIlKyEpRiotJS5CT1VORFNfSEVJR0hURzYjJCIkSSRGKi0lKUNISUxEUkVORzYi JSFH