JSFH ?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:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlKyEpRiotJS5CT1VORFNfSEVJR0hURzYjJCIkIXBGKi0lKUNISUxEUkVORzYi A Cylinder Heated by Induction \302\251 2009 Waterloo Maple Inc

In this worksheet we consider a long metal cylinder heated by induction, as shown below. This has a magnetic field applied parallel to the axis of the cylinder and a constraint on the current density at a particular depth. We demonstrate how the temperature depends on time and depth from the surface in a very long cylinder. This is calculated using the current density, the power density and the partial differential equation of heat conduction. 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LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCIlcUZGKi0lLkJPVU5EU19IRUlHSFRHNiMkIiU/QkYqLSUpQ0hJTERSRU5HNiI= In induction, the heating is caused by eddy currents, which themselves give rise to alternating magnetic fields. Because of the skin effect and depending on the frequency of the magnetic field, the highest current density exists directly under the surface of the heated work piece. It decreases rapidly with increasing depth. We calculate the effective magnetic field intensity on the surface required to reach a given temperature in a given time.

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

This example considers an aluminium cylinder of 6cm diameter, heated by induction. The problem we address is: What must the value of the effective magnetic field intensity on the surface (HS, 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) be to reach a temperature on the surface of 800LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUkobWZlbmNlZEdGJDYoLUkjbWlHRiQ2JVEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0YvL0krbXNlbWFudGljc0dGJFElVW5pdEYnLyUlb3BlbkdRKCZsb2JyaztGJy8lJmNsb3NlR1EoJnJvYnJrO0YnRlJGLw== in 60 seconds? Additionally, the current density (J, 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) within LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRIjFGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRiM2JS1GLzYkUSIyRidGMi8lJ2l0YWxpY0dRJXRydWVGJy9GM1EnaXRhbGljRicvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRkQvJSliZXZlbGxlZEdRJmZhbHNlRidGMg== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictSShtZmVuY2VkR0YkNigtRiM2JS1GLDYlUSNjbUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0Y3RjovRjtRJ25vcm1hbEYnL0krbXNlbWFudGljc0dGJFElVW5pdEYnLyUlb3BlbkdRKCZsb2JyaztGJy8lJmNsb3NlR1EoJnJvYnJrO0YnRj9GPQ== distance of the surface must have a value of at least half its value on the surface . The Material Properties of Aluminium Electric conductivity (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NjM7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy) 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 Relative permeability (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTQ7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSUYy) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yv Thermal conductivity (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NTU7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy) 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 Heat capacity (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=) 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 Density (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy) 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 Also the radius of our cylinder (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=) 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= In this worksheet we use the character 'A' at the end of names, to show when we are using the numerical values, rather than the symbolic parameter. Let's define the values in Maple: 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

As the cylinder is long, we use the approximation of no end effects, ie equivalent to a cylinder with infinite length. Also, the magnetic field produced by a surrounding coil is assumed to be homogeneous along the entire length of the cylinder. In this case, the distribution of the effective current density (J) in the cylinder is given by the formula: QyQ+SSJKRzYiZio2JEkickdGJUkmZGVsdGFHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSoqSSNIU0dGJSIiIiwqLUkqS2VsdmluQmVyRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiRGLyooLUklc3FydEdGJTYjIiIjRi85JEYvOSUhIiJGPi1JKktlbHZpbkJlaUdGM0Y2Rj4qJl4jRj5GL0Y/Ri9GLyomXiNGL0YvRjFGL0YvRi9GPUY+LCYtRjI2JCIiISooRjhGL0kiUkdGJUYvRj1GPkYvKiZGREYvLUZARkdGL0YvRj5GJUYlRiVGPg== print(); # input placeholder The constant LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy is usually known as "depth of penetration" and is defined as: QyQ+SVIjbXN1YihtaSgiJmRlbHRhOyIsZm9udHN0eWxlfj1+Im5vcm1hbCIpLG1uKCIxIikpRzYiZio2JUkmb21lZ2FHRiVJJnNpZ21hR0YlSSZrYXBwYUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUklc3FydEdGJTYjLCQqKjklISIiOSRGNDkmRjRJTyNtc3ViKG1pKCImbXU7Iixmb250c3R5bGV+PX4ibm9ybWFsIiksbW4oIjAiKSlHRiVGNCIiI0YlRiVGJUY0 print(); # input placeholder where LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5Njk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy 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 is the circular frequency of the magnetic field. QyQ+SSNQREc2ImYqNiRJInJHRiVJJmRlbHRhR0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUqJi1JJmV2YWxjR0YlNiMqJC1JJGFic0clKnByb3RlY3RlZEc2Iy1JIkpHRiU2JTkkOSVJIlJHRiUiIiMiIiJJJnNpZ21hR0YlISIiRiVGJUYlRj8= LUkpc2ltcGxpZnlHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2Iy1JI1BER0YnNiRJInJHRidJJmRlbHRhR0Yn

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LCQqLCwmKiQtSSpLZWx2aW5CZWlHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCIiIiooIiIjI0YtRi9JInJHRitGLUkmZGVsdGFHRishIiJGL0YtKiQtSSpLZWx2aW5CZXJHRihGLEYvRi1GLUkjSFNHRitGL0kmc2lnbWFHRitGMywmKiQtRjY2JCIiISooRi9GMEkiUkdGK0YtRjJGM0YvRi0qJC1GJ0Y8Ri9GLUYzRjIhIiNGLw==

For the transient temperature distribution, a solution of the partial differential equation for heat conduction in polar coordinates is needed. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

: temperature LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRictSShtZmVuY2VkR0YkNigtRiw2JVEiS0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GOVEnbm9ybWFsRicvSSttc2VtYW50aWNzR0YkUSVVbml0RicvJSVvcGVuR1EoJmxvYnJrO0YnLyUmY2xvc2VHUSgmcm9icms7RidGPQ==

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

JSFH If the boundary conditions are assumed to approximate to adiabatic conditions (that is, no heat is dissipating from the surface of the cylinder to the environment) and if all the heat is entering via the surface of the cylinder, then an analytic solution can be found: QyQ+SSJURzYiZio2JEkidEdGJUkickdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLChJNyNtc3ViKG1pKCJUIiksbW4oIjAiKSlHRiUiIiIqLEkjUEFHRiVGLzkkRi9JIlJHRiUhIiJJImNHRiVGNEkkcmhvR0YlRjQiIiMqKEYxRi8tRjM2IywoKiY5JUY3RjMhIiNGLyNGNEY3Ri8tSSRzdW1HRiU2JCoqLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiMsJCouLUktQmVzc2VsSlplcm9zR0YlNiRGL0kiaUdGJUY3SSdsYW1iZGFHRiVGL0YyRi9GNUY0RjZGNEYzRj5GNEYvLUkoQmVzc2VsSkdGRjYkIiIhKihGTEYvRj1GL0YzRjRGL0ZMRj4tRlI2JEZURkxGNC9GTztGL0kibkdGJSEiJUYvRlBGNCNGL0Y3RiVGJUYlRjQ= JSFH LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYmLUkjbWlHRiQ2JVEiVEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMEYnL0Y2USdub3JtYWxGJ0YyRjUvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnRj4=: initial temperature at time = 0 seconds LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEjUEFGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjNRJ25vcm1hbEYn: heat entering on the surface 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJw==: radius of cylinder The sum should to be taken from i = 1..infinity, but as the exponential function becomes very small with increasing time, it is sufficient in most cases to restrict the sum to the first 50 or so elements (n = 50). The assumption of a surface heat source (PA) is reasonable, because the skin effect causes the heat to be produced in a shallow surface layer. To find PA, the power density must be integrated on the interval r = 0..R.

First, the suitable frequency (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1YkdGJDYmLUkjbWlHRiQ2JVEnJiM5Njk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUYvNiVRIkFGJy9GM1EldHJ1ZUYnL0Y2USdpdGFsaWNGJ0Y9Rj8vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnRjU=) has to be found, where the current density in 0.5cm depth is about half its value on the surface. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

JCIrSzo4LzUhIic=

Next, the surface power loss (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEkUEFBRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0YzUSdub3JtYWxGJw==) is calculated: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsJC1JJGFic0dGJTYjKiZJI0hTR0YnIiIjLCotSSpLZWx2aW5CZXJHRiQ2JCQiIiIiIiEsJEkickdGJyQiKypHI1wmPiMhIigkISIiRjYtSSpLZWx2aW5CZWlHRiRGM0Y8KiZeI0Y8RjVGPkY1RjUqJl4jRjRGNUYxRjVGNUYvJCIrQ1UlNEgjISM6L0Y4O0Y2JCIiJCEiIw==

JSFH How big must the value of the applied magnetic field (HSA) be to heat the cylinder to a temperature of 800K in 60sec? This is calculated with 'fsolve': PkkkSFNBRzYiLUknZnNvbHZlRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YkNiQvLUklc3Vic0dGKDYkPCkvSSNQQUdGJEk5I21zdWIobWkoIlBBQSIpLG1uKCIxIikpR0YkL0kiUkdGJEk3I21zdWIobWkoIlIiKSxtaSgiQSIpKUdGJC9JImNHRiRJNyNtc3ViKG1pKCJjIiksbWkoIkEiKSlHRiQvSSJuR0YkIiNdL0kkcmhvR0YkSVAjbXN1YihtaSgiJnJobzsiLGZvbnRzdHlsZX49fiJub3JtYWwiKSxtaSgiQSIpKUdGJC9JJ2xhbWJkYUdGJElTI21zdWIobWkoIiZsYW1iZGE7Iixmb250c3R5bGV+PX4ibm9ybWFsIiksbWkoIkEiKSlHRiQvSTcjbXN1YihtaSgiVCIpLG1uKCIwIikpR0YkJCImOiRIISIjLUkiVEdGJDYkIiNnRjUiJCspL0kjSFNHRiQiJysrPw==

JCIrW14xa0UhIiU=

print(); # input placeholder

JCIrW14xa0UhIiU=

print(); # input placeholder

JSFH

The magnetic field has a value of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFElMi42N0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RJyZzZG90O0YnRi8vJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjgvJSlzdHJldGNoeUdGOC8lKnN5bW1ldHJpY0dGOC8lKGxhcmdlb3BHRjgvJS5tb3ZhYmxlbGltaXRzR0Y4LyUnYWNjZW50R0Y4LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGRy1JJW1zdXBHRiQ2JS1GLDYkUSMxMEYnRi8tRiM2JS1GLDYkUSI1RidGLy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYnRi8= 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. This is equal to the amplitude of the magnetic induction B of about 0.48T The surface power loss evaluates to: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

JCIrKFs8cSNIISIl

JSFH

Now the temperature increase is plotted as a function of time: QyQ+STcjbXN1YihtaSgiVCIpLG1pKCJuIikpRzYiLUkpc2ltcGxpZnlHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2Iy1JJXN1YnNHRik2JDwpL0kjUEFHRiVJJFBBQUdGJS9JIlJHRiVJNyNtc3ViKG1pKCJSIiksbWkoIkEiKSlHRiUvSSJjR0YlSTcjbXN1YihtaSgiYyIpLG1pKCJBIikpR0YlL0kibkdGJSIjXS9JJHJob0dGJUlQI21zdWIobWkoIiZyaG87Iixmb250c3R5bGV+PX4ibm9ybWFsIiksbWkoIkEiKSlHRiUvSSdsYW1iZGFHRiVJUyNtc3ViKG1pKCImbGFtYmRhOyIsZm9udHN0eWxlfj1+Im5vcm1hbCIpLG1pKCJBIikpR0YlL0k3I21zdWIobWkoIlQiKSxtbigiMCIpKUdGJSQiJjokSCEiIy1JIlRHRiU2JEkidEdGJUkickdGJSEiIg== print(); # input placeholder JSFH QyQtSSdwbG90M2RHNiI2J0k3I21zdWIobWkoIlQiKSxtaSgibiIpKUdGJS9JInJHRiU7IiIhSTcjbXN1YihtaSgiUiIpLG1pKCJBIikpR0YlL0kidEdGJTtGKyIjZy9JJ2xhYmVsc0dGJTclUSdyfmlufm1GJVEpVGltZX5zZWNGJVEoVGVtcC5+S0YlL0klYXhlc0dGJUkmYm94ZWRHRiUiIiI=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

%;

6%-I%GRIDG6$%*protectedGI(_syslibG6"6%;$""!""!$""$!"#;$""!""!$"#g""!X,I)anythingG%*protectedG6"6"[gl'!%"!!#\bm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r~in~m6"Q)Time~sec6"Q(Temp.~K6"-I*AXESSTYLEG6$%*protectedGI(_syslibG6"6#I$BOXG6"

The calculation of the temperature rise due to induction effects is important in many applications in industry. In this example, a short introduction is given on how such computations can be done with Maple. It is demonstrated how the temperature with respect to time and location in a very long cylinder is calculated using the current density, the power density and the partial differential equation of heat conduction.

Carslaw, H.S.; Jaeger, J. C.: Conduction of heat in solids; 2nd. ed., Oxford University Press Joos, Georg: Lehrbuch der theoretischen Physik; 8. Auflage, Leipzig: Akademische Verlagsgesellschaft Geest & Portig KG

Legal Notice: \302\251 Maplesoft, a division of Waterloo Maple Inc. 2009. Maplesoft and Maple are trademarks of Waterloo Maple Inc. Maplesoft is not liable for any errors in this document or damages resulting from the use of this material.