MFNWtKUb<ob<R=MDLCdNVZZJ:tN>H:xXVErps:;BNSDOETlMXlgwgiW;mD[UUUWUsKitUf]Wfv_ivmixoYKEVcsIyuyvayvUIv_ioixoOWkgxwiywOveCHwgIxiIxmyqAYs]IwgYtUiuIXpCIFiSIaBAAsa;GbYyvcixqyxeYweyuYyuWdMWTuUYuyyyyA;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ZjifDqEtk]`N\\@Nd\\QgqxH`jwhSWDQVyPxPLAIXU`wyyySUun`r[DNZ]WmUjPuJZ]Y_lSLqqWioSxwwtLEQl@UNGiOC@XyQjXLYbIvN<xwaLnAt=uOZdQnAtE<SIdQnQJLYRIdq:`xJYryqJBhyNFvL?^^YoOA[yYelofiGbt?w[w[PhdK?gSO^DGpLYeJp]t?fjHo\\I_:yo;H]\\`\\:GoDF]`hqEht=w[F_alS=wUToTtOHPwCborY[w:=EpYdRYrYMChKdE?BDmidKG=QsC_YRmHnQBLYr?QeE_X_krige:[iBYcf_DDaGeSs\\eTPOb_wYrwsXirdIviGbNwG];TYeTKmgywvJGBsyCy]VlmFeyEQwcX=jjyx:`sQMP^\\YPho_Tk>xMsmtsIPMhKmYLwMXwIWXqMxqPIUkEQT?moDhtHEo_lY@mQHQpZDyLUrYHpn<yRutnHUv<lpxKYPWwIXR_p`I`pXfWOyy>eMy_JWu=qaR>ppVxO^funr?G`Hv^Qia]vuuocJpwUQdTgd`_mex]Tvf\\xfrhdbXvpIe_Hs[IiH>nUonv@bKpiZHtX`ibhfKO`JFdPPkIqvy^q<?m@vuvA[k`fDhbkYdNqxj_c>_fOfv_wdx^_E?uYXyQ@olFqYIf;_e]IyPVqnosfPyJA^=asuq[j`ZR?kE^yjHtHQgOHxSn\\wYoIh`TY\\Fg`Rx`Iq[Vwq:@]TyybQxv@]k>kivdaY\\ui\\dWirn[PqrTgpPYbx^tvFfkWZbihlYa>^bK@wTwsQhvOyb@?]gqhwomng_>og=>wpGarAc]hibAyX@eLogQnhlykD?s<_c\\>b@QuvA^kxm^ppAXvjVZsF^AFo^_nVVflixrifhaqi?bHI\\Jf_]O]s^`lyssAsp_b=IZ]akdPmJniAv^PnaNAw:Gi>VqmfvRIuyF_[NmpQjc?pIq^PWjiFdUYrc>glPqhP[B?jLNqKAwyxnVhq\\ajYQ^ZFVQxk?e;_f@UbISs??T<aBw=fK]UyYy[oRAMyR=HwiwEUHfmRPSty]TsStbAHxSuYMs^yGKUu=IB=QxemUA=rrwI;aIX=BJ?b^ss[_TXEYTCeEkuGgCNgeEKY:yxEKBLWbmuBHkvjOgvacI_W=_dGktRegYwr]WFQ?yTKBBUwI[HTYrByGjyF\\Wbwgvw]SxawaaWs;yAwTCAS^yxd?Xd=sBgyRaDW=DjsT:=h\\KgmMG[av\\Kd]sTJEcv[dV;fvch;wS:_DkYu]QwOCdO;sg=yoeytSG`kImsFyog^?xEOBLCFViDIgI@Gy]ot^irP;HK?hZOsjgS\\oH?EUSuDGMUAuFJIHi_FKSWUwRT[ho=Succ^;Is_VTUE=ICoSIswCWqRZQG<_iUacrCehOcaIRWuspqRfYT@ccfMuhsyCWrYmIPKIbQhdCehqx\\st?]DG]EqMIFYfW]rgUCbqvIGSgofLWg`aHJKdluEqEeu=ixkwQStrSWtWgcgwJSIGku^oxgKVyQWZEt^gBeKGZKxced=IdTOhJEfR[xrMBkKg^mGJ]Hc[trOT:_R?eFd_FVCXZCD?QCqSX]YetGF<EuQeUfcCLMhjGvVKs_STkUw^]CEUEl[f<?hNEwdoH?MWf]FbesPKU]kgH]bSES;QVV?hHqdT=ce?bp_h=GGuqGD[y@SU=IFKExEeUWAhNMX^wdRYFIMevKeHYWSsCl[HGau[AEZiR_iTJUDS]YckXsoV>]GBqb@;VM=DluVHgVuQeDqxLUE]]WSAR_oB?oxLgr==vqkR?McPAEG]WBKVP[HVOI>IrEuBkUcqSckCwpsFo_Rc?eB[hhCXYSrFChVASt[UUWWs]ceYBhyD>aUTMWZ;vDoR<MigQDu_TtCUuQeTqXLOI>QV_CiI]w_CruEHosRwoFf?EcQiJ?bh<rTuX[Xm>QN?YtNdpPQMSxUM<Lq=q@INBAKETJBhxStLsEq:\\VmYMcEJvLM`\\joAWKlvL`oTExbqR``uRqK;=PX<LAusChO?@mNEjeaP]ISWhp@yWl\\Wc=y<QlPXJQuSwlW=xtYyvJHOTtK;TW>lOIDODTJZyNoUPRLxHlwPelKxT;toREv\\Alc]kbppf`yolyvPvOMkxDK>]u\\EVC]NAanAYc=F^K_udgd[Q^Vi^Dr>[tR=H\\aG_?GT[rtSru[XBuGDsUKag?QUEGEKCigcGMeYoGB<URBIb[ebvYFAKbGyGK=CMQCQ]C^[UkUTFcXVEh=]g<[VDoBAIgOyXCgsQsd`CFc=ujQHK]Yc;xOOi@YxlOFXEbxOGeCs<khaIRVIgOms=eTOIyPyrfyBtqtVuyREy:orPce\\IgqkbVMUZAX>sHsUuOkYqAgC=syoYAsv`KChAX^WR]_xvcF_kRgAc^IcP[SI_D[Uf=MerofcQGoYBfcca[TiETvae;=HGctaqvuWHd;IbAiJEYdytG?hBordUTXWC;ebcisL[UxYDC[gkQrHMgHqebmrikvj?HrSiPyrckxkCwQADCoIeEvbUbGAboQhXEh[;d\\KHHmb_OFtWu_yb_UcROtnwbQUHjEuL=Up_Rb=UYAgUME>gCAgCiySEosEQUGqdWMWq=c?ErKMWIGFwOCeGw_?c@YBM=s`Qes?U`GvDIGu]Dh_U\\aECQCkig`KY^Id<UrFSGdidCQd?wvjsgjoc`av?ABUcCqkDbgUQmYdWTyUHIEI^?vO=xrIY@_IXKxyey:Wy]YRruxDiGiSv?uiHGbVQl:DK[HmrpPHPq^PlE\\kAMkvmLLylFAokljcev=lqi<YWtRLewqIQP]nuTjSqvo]xgtr:`TDeos`qsXoUts^<QVAKd=lHEwRQOVYqEyTo`Y:aYNPKh\\V>AsNQx;TxrdW^YJ^tja\\vHdnlUkRekoYJvXOVesOqlUMN@mPnUPoXmT@jtmUdpKoHxhmuD=QHewk\\nBlOhuqWXowys<\\VPdkZAJgERo`R@ev[evpTq`aSx<NUAvyUra]nvtRiHuBTQITs\\qV\\yLl]raXt\\@PCHS@tr;\\XmDS;XmFpVRyXuHjIMKB`mZivW=NHTSA\\srptgMmIANqeuY@qJMOFhrxELi]vomrP@kg]TEMSNEXrelmyroxkU\\YyMlm=K`AvvaXWmKQqmA<QTIU^IQhmw^IYHQq^\\sWllE]skls=QYwARtpUPHVWin>TKyeq`DLkYPD=VYxOUiu<QTo=u=PUcYXLykEMmBHYwuOSdsmuu_dRm]WlpLI\\xKlqy@K^AO:IJ\\ao;YsdHxRHpO@yD@L?IpLxrdUp_Hvcpvg]uEQVKXwvdnp`VNqVV@t[lL_io;qOIUNwLSfiJ:mt>yVTqNgMVoaoP]RNiVDQO`@VDisdHywtY;@VftLqYlstrE<vhmrBimUMr>EkJAuGxvYiYJmWxxYqdjGxKl]T@QPVYOY`LJ`m`ajN\\MBMVQmysLNDYsq<opYySDm`AvP@qBHlPiO\\Ax<qo\\@YeXrSHPR@VeYVGASrxQZYPGttsPk]eLEhWo<PGAP?QxZLXX<ucMS\\lJydSSMwG@kQLvjAMWTyUtoxULkUPXTu<PQ\\hsaPkdPKNhuHdkAtuCQPZQMKDSvQVPYypLRTxyMTPVMUUhqsmmDpncYlX=NqlqkxRpdPOekRxMp@kSlU]HW;xt?=S_Lm=Atn`LqUQEEVBAWBUnn=tBLXxptF`NSATdUNGHTE<WNINPxWNIRGewJTNwHu=MYV@uE@K<MM_eSGEk_DP@aV@ml@=L\\EuCPvcywSpka@u[tQhDp<eS@Avm@U\\Mv=AQZDW;MMwUkQ=m=aTMAY]LouuS:MN\\yPs\\QXmPVIwvqJoPMTIprAs^QRvlsS]tNdKCEl?xTwmn[prj]WMxKODNIIL^@sn<YfEkXHQNdQMtWLaPMQLqUT?MyZtWTaRCUlk@X;@mWdK?mnVDlF@xvtLVQQsIm^TWs<oX=KaEuEhYELt`]Qr@yTHXRtxBXuvDrZdt^MnVHXIaRxqLKLSGASMHw]@jdyrNTM==se]r`]oG<K\\=VP`YKDjXuTuIjE@wCQSxdM^@wPPS=Msb=k>LO[\\o;tsm]UCILdEVj<S;PTEiNUMVMmoPuJGLTHTNGpXKPKgDpJlUTHKsuo<PcJn_cxp@FwagZNY_WpeM`qAWg]h\\fIsA`bZ^atituw`>Aiayh[PrEQigpbMOwyvaJvx:HgbYg;Xm<OrMogdPw\\>^??kNFaVXqGP^dyZwFrWGxKn[kfgL>`GYnPYkdwbKqbYXpphhOGs>y[[FsuV]Av:GuVKGX?rtmbU=UAyBXQVIOwDqEKIEsoe:ad]kXJavRGdd[BwMcuEY\\eEDex][dxOe]AuRIdBKvS[D>CXgAVH]BwUUGsBYixByfVwvrkSa]BmGWgcfq_il;hgig<ARuarHuhNQdqkHkKWqAdpEcGoGCMI^iwaWcWyFSmSlqsI_WmgGcqeVismqboWhYWGdWSFGCnwvkOH?kFPCsjohaaDoygB;cesRR=HPAcA[ivarNgrGQyf;ce[cSab>oF<eXJ]bA?rgIUJKetmscqCqEULmU<MfeQwrytKsXtsvgwfR=ssee]eVr=iXgTusREKIrawVaesoD[]yqAgT=VE;XwgTX;CsicmshZIyh]tf;D>agYkSZ;cEeeOUbpgBK]C^cch=X[Wcw?TK]D_kwZcr^aIMaiv]gC?uR[iAeGn=gWIRDYxaAgLyiU[cosfTMs`WHECeWihZSi[SSH?vD]CCSyJSeLawp=dB_xOOxKqg@cy^?bb_wJSC`UYT[bNEGd]HZiIOAbVOrJeEcKIj?FnaWgAelSCA_WK]t\\AUAqSMMDhSVRgep?BFMu]kRDkvOKw`]iy]SsAxnUt>Sfi;IWuuuGev=rhWd@qggYFHucr=ffovLQB_[e>=ieAwjAd\\ihDUtOSHFeW^wiAeWnMCcsXsmh]oxC?g_?fYgrnsSvguuMb[If?Cf`mRPEvYusl;XQ=SqmDRAsuctPGvsgxHgBKui\\;Fv]GLAD^[CoME>?SOWUigTKUYTYDTcIVCGt;`FO]UfkWV^GwkaW`ufkKPZt?\\Dw^oO_\\^iw@bn_mvN^]?vKqc`v`tVs<@yfN_e`\\DvsFg`iYcLHtw_bKwZk^hKVnhVfmg\\sIwQPfAG`Pnhuikjww=atXPbdweN@jNWuG`agib^ViYfeaPir?g;_[=Or:x\\vqi=iqZiZTvk@afXvpdqlSW\\ipydarYG\\JFm=Y_xge?_ZBqcDH_NwrNXxkPn=W[lYn=a_=HZ[in?PnAayT?yxviixbhXr;igdHiooQ]eDWfbiF@Sx=ctvwu[QWIiI^sE]WrP[EbMugWRnsBd[yR[d?YU=MybchadqR=loMvwDSWYPWxR\\=LOdWj<LImuL]w<XNAEROhwKHLxmKftSxYUf<KEMxxtLNlYKxr>uQtpTVYUt\\mudTa\\t]enZDQp`YkqSI@o]qOp`lo]PCxxxAkrxx_DsTImQHSayThaRE\\JLtptqRAuQyXONdUyUN;ax[MWsxxN=t?=J_yU?PK?Qx:Hn_YNk<SLIy\\UUDYOhhv:MufmMkIOrUJqXslDrU@wYqQEhLKAk[Xnkqv_]xcUKl=TaEnUENPmvHipVpSHYtcPQKxTIUw`XXeAq[iXyhqXdW]quSlkuUNTQw[hyWalRESQhKudMPuRNHQVTpZ<VAHnsHlYxv^mmVHJtDYoTw]at\\XX^Yy<LjJ`kV@o]tS=XJqMQ]Epq`sVIJ^pWtPKcLmkdNIhuZ=WYyvhTNrpTPiMwTQaqqZERnXje=nI`Ux=pPutt]X^@wGUKLxj[=qJQnY]VMLUFMrq`wIDsXhPc@Q\\AyrtTuHN=IkfdUeqO[lLqQpHtv=qJ>qNNmRUUL^]wRTLD@q]`sWhxkTK<hN^drxQmkARFQrVApJXYrlLWhVKqs`pxRLTwuQjdqf<wR=lOmu_]N\\aXCisgmJtDXsdUtUL<Pk`Xp^<URPuE\\Ty@UGDKXMKlQM:pt<`nHyvg<kEyn^lVFIQ>qPnuwBeyruTmHYmXJ_urDpKqIRpPLLxRV]JtLSkujxmokElxMuxAXNYWchP=hRXxUjpvqqnGEnv=YjQrZTP^epTqja\\PFDYnucSPdiflVg[jw[Hw\\j^_owuVPdfg_CVgdXnHhhkQwMVshgZTxolYbh`ojHqw_`eXZ\\>wXOne`m?goL_wOn`Bw`a_vfyyXGuJGugfso`mgivtHmX^cSpmQaf\\^]nyh=oZx_wPXnOitrib:XwYOhpWy]qdlWvu`cX>]Jgsm>tdqssn_F?anfyNhZKgg\\NgDyp;Ah:_lhAs[vtDF\\Mwh\\gwBAl[ybMX^?We]YdEnZwhy:Qw>aut@_lOl:>hfgaoxuFQbKnbYHpHQobw^C_nW@qDnpcQqEGawV\\`@rnpclhck>^XGdN@qdAu[FfUI^u_\\:`qfvq?_soG\\UguAA\\An]kPlFNdB@sKVpdNtH^gAfoipdaGdEGlPwbJPt[OsQn^UN`mFZZvlnob>ygL^wWYm\\VheVeMGjPhrJHenIbp@x\\we]Xoc``hpe`xp:vuXweMYg[PqTpniH`oo[Jg]t?si@`pvofItsn\\^Id`ovVagAqlaIxV@]jV]dvaQFal_hbowAOxD`_aYjJhloqkWYlJ^fAfbi>lMP`QNf[grX>r@_nH_j_a^TNvoxiJVrs^euPco@\\QO[O_pE>gYPm@_moP^UQ_BpfENcH`jMnZiYtmx`VOgxv\\fOqhod@yoWAoHNk^WbCYdsOhrygJndKvqVXbR@]i>jAHyW^]h?]fxgCIcNn]Io^lNwHFf>@gYAkQVcD@iB?\\UGrTV^hfjDifg^ytAyIv\\Q`myVx`v_DQZ\\Hxt`^Qq_sQm@hdCntT@c=xfg@`UYo\\YxxfpgYjHI`dggYo_q`thI^W`a=GrBheUVoPwkhxydGZS^np?yF^mGhhvh]TI^<qhwq^HF\\sQpVGtoo[GabIV\\f@fBywC?jOwoGF\\cFyqnmmNhewn:wkfxoaOipho:w_^w]GXi@^xiQeqFiOn_gA^oVpUYn<NxEgl?Iigi`ZQhlGuWovA_xna\\XNs:yb_PprX^Giv;Fhqxg<Ite^dDFajHfSvoQYi?WxZPdcI_NGm=iZ^Iv`>dY?p=qhmPp=>]O`bIQwNgelQd?VbY@i_O`\\IbDIeZfrmpblvlZfZy^svnsnIhmNh[apjVbmVfUfZ[At=`fBgvKfgWxkb?cfojdGvrhiLfv`Y_C_dipgXwoCXtsHl\\n]NPZmO`yW\\e^hT_xDFlh`[PI^ZnpWpmDgZ=_cGfccVvZnnJYkVofg^hlWw>pa\\`lMpfHPjCPj>GfnO`T>icv][fj@vktPronymPTgdbPp>yNdTnpdorQmTay:DoCxr`iP>QLchN@DXDTryXyI]jG<uEhL@TuA=leyOf\\XrPtZpOimYiqQgQrqXvrlWquqtLPvQyp]r?QYNur`uNWeR`xq^HjFipgUYXDsAYxNTrm@OJqPIYn:eoFMXYEtcLPRqLGHwKlnaUMpHocMwN=yZVfE^^_Iq\\FnC_cTHhnWsW?oN@nbP]]hrvGbs?oqnmB_a[xvn>fc@_EOi>XhNfpuVa@xhNIc^ormIqffoF_mfHcgydgN]__v:H[p@_R^^K`]eaoMijRW\\ZOy`hhApeUpmBh`@@mQ`n[fhMqbT_oOfhEphtAl`?lnidb@vhwbq^xVGcmo`nhuJavkNZI^`<gghHoD?`h_mIQyIHqFVg[q_T_n]Xb^H\\Sf^]nt`wfWo_VnvLHfSnbsYyui`AQgcq]D>sK@fqf[ChiS_Zvff[HtBRlgF`?sOSSrqvdAIH?xtmU]uW]GGDaRiSF?MTpKvokhbYF>QhhKUN?Dy=Vfwv=EVGWivoeK_uLagD]rVCtM?d?=s=GRQoYfIY;=UqoerMDsgILoS>EX<mCk_GFAY\\iEvIDggEAqehqgdWhSaSOUdAUBqeyMMco;gf]wO_slsGEaIlUtoegg?EaITkSu`QrwovxKy^keL]r]Gvj[WJshO_igADBwg]`vSmLLIsRHoCdLlHMFPxfpkLPr`]jmPOFQxvIkdLn>xVQysDtsEMptxvKaN``thlRl`qI`XiimSeJ:\\SiLU<mR]Hrb]xAmudTkWePQiuQ<lourv]tMtWUajiyo:pnW=PE=oLDQ^yL>`oG`jXtLplxs`mj`t[HODPnkDOtettHqVHKU=TglNadR^xUKYR;Xn;<YG`PtQYXTOlPtSDQNEliMw^dsvIpftPUikHal>LVqxkXxRShUC`TipvaAN;pssPOEQptlL^mrK=MKyTC`uc=mEdpR`u=Aqexjr@RkUPqXUGALn]l>HvcXKD@ycIv;QWKtSUmU_URB`kR`MBDlXTnbLnq=YXUnVPtutyO`Qx`JfmUbmQGxKlQmTQlLUMi=RZXmFeN`lXU<uQatxDYXqQLaVUXrdyUKMyAhkMQqTDjuqSTxpJTKBqv^QynlK]dXl@sXpogxR^qOXdvGxmYYWIMnf\\OYuueLM?iRneRwywcQRrPnFLPG=VRPO^iK]<RqpMYlquAxWpYwqKmufyfiq?^c@_DNnnYw@o]k>[^iuBfhQIyrNu@inlp[_Wfu^_Yp]EAal_y^ve_`bP^agga=AeRwaHAjQoeDOyV^e]oqUG`y?chw]=NxxO\\wVwZndk?bV>pPVjPYjDng@xc=qpQ_cOH\\Q>\\_f`Gfm^odnQ`>XZdWe\\GmFFvsPuapp=`lFVthi[Bya=NqqFxYYcmq\\pfsaGx;A\\DQldPwBPqMf\\UonsVuhHhX^fcNoQoceOkhIsti^;qtZGtOnxX?^vqdYPpjo]hPl<qc@VkTheGOwEokn@[Naiy^mBQj\\IrcOmOnk<ok]qt=qr=VoIV_d_jXvuqiowXw[ncxH_LY]tgpundPNeGpik>v[ivRFt_GuKnqFIw\\n[Dpht`vgIkZav_Q]NqvbAkmHqAqgUOq_H^ZXjE>c@ObIXjtnofGo?qq^gek>ut@iu`tp?l\\IpOhwCas\\aonfiIvm?PdqQgMNhVQjFgeDAdSFf\\VeDAghqlRG\\UFqMYepp^xvlPPv^G^e@dF?^L@mKIurQ^^yxKFiKnmXGj:IvRymv>lgOlr?q<htJI]lw[^quL@_\\Gfugp<?xGw[l_w?ieg_ijn\\D^\\eInBw[<gZnH\\oQ_FAbVnaFaaR`_>G`rHna^skP[@Fjhih>`bBpbgvvrAaBxp=Aqoqb@w_j^q;qa\\VuFq[@x[V@[?AgJ^[kxerPenhqfWafWy@qfmqvcwZkng[awq@ona^EG]KgrbY]_`]Nx^fGZrOxeA`RFh:@wFNjfhZ]Ncgiq=YddW\\b^m@@erFcgq[LQmRApeA[qAxA>rTGrBHmJpxoxayqqiagVO`cIn[>[^Xr@IhK>b:Ywm^koNxqg[X`g<QyC_gM`[x_fy>t\\@fbxb;A`h^hdQiKXufFnFH]Lhqchj^fyOeC[fcowYsvRqI;kW[;teGV^?TIUwW[etGDOmhlUf[ubfcyi]IMogiwH^Uh:owAwfWaRpmtCCu=IFdAe^OhsKrueeZESZUB^cinMIfwE_mfskxJsEn?fOac@?GJ=uXkDIiB:qYOWBUKR?=u?qgNath?vdGFP?u`Uyw]fCccUOtvUGYci?Cu=gXp]xIcIyOrAmyxYxIcUNKFpQDYYR;CwB=sPqiF?eF?C>UTYef>=RJMT\\EBCGUDihhKUR]vgAenUvZiCeibWkCcUBoqdoocwyCC_r@if;Ssqksw_DVoBuyY;yrdqfuSchAYAUgqSySkgZuWmkD=QcvYwY[bksrJsEaKWiWuM=u_gc:Eg_YfMYtnqHogRisEi=xpsXq]grIhrWFiECySU:mRe_xgEBs[C\\yRo?c:sifCgn[XHeDUgWKoiicEPYIqqHxkWwAgYchqgDjgI;aFpKDWQv_OBZYt>WwdAUYuRL;coyqNuVh]Uqptdik;pXdykxTQGlTQtvX`YV=q:@Vm@rfTrITlTyjYtxo@jnUSSHSs]q_uyq]sCeWNMuHmK>\\jW=lwdNZdoB`WspoPDLoImBUJaaXXmXPaLSeon=UuamQqmpEUWHsLTyvEXTeOiiYyiqy=qq]XHARH`M_IQc<YAenHyQTInyMlRYKKxkfEXyAmYyQT=pthy[duxAmCAmAyYwUosdyA`PkQkUtOyxr`IR^tmMLvePL;DYZenryvu<YGuNr`xkPqPxMrmmC=S@\\vayJkMxnutcav>@jVDv`lqdmL;iwfTkBeLqlUWQPfUXQXyZuLgmsOyQ=HV@uNxeQuumr@QOMykDMcLms=OH@sQIU=HQm]rxujluyGqpxYuNqUD]Yxar;avC`mH\\U;tP;lWkuQsIJmxMGMLvMNaYPS`mrYOhqYJ@SreQx]TbHOrHlcIm?EypIjnhlkEwgYnFtXohJSUslLrw<kq`XcXuHmS:IPPMW^\\neLNrEYTELkhyWDW:pv@PRNASAqoq`YLxUytXZMvr`TjlmkUq=hQPQRvdtSEXTYUuULq@YxAT?ySLmUVdNoQNV\\oKQwoUX=myJ@v^yrfIsJdOR=X>=WX@URHjyIVIuXILLS`nk\\LsdLJxVXpmjPrpyJ:YqgMSUurFXqeaWDxpW`Y:=RpPLLao?TQMDNl`PdYp<mX>yXXELE`wQmT>]QetyZEUExkr=R?yraIXTIYjuufinriK\\@ySqKExX^]x]`rX=R:LVhpPBlPeYY\\dLbUNT@PXeS^awZiwAukjXW<<medjwP`qweXNrkoh_Yo=hbkW]w`wE@eNWblwkhX\\h^rNobMQrywiKYkYy`yWt]ifhylt^hyAx\\x\\yHkTYkBxsk_yjAh=hv[_^yfua_d\\?ktxar>jowbYyZlQaPVmj^iwPq?`[AH^^Q`pAy`wdZ`cMpyvi^;FrmxqywtPpwWN`qqa[QdlXxJ_hwgZL_rHxkiGaZWq\\xqMHw`xvNAhI_pjwsL@pMWrx^ohqiZ?ohyw^xx<OtQW[cqlrFcZoa\\N]SWbKwq?hykwj=y]`_feNsf_Z[@i^xvxX`iv^w^fXWdQv`t?bqYvfV^qphkgnm_hOIlfn\\fynmpxP?yfvpuiepnhyfruyi?>qYo^rxuxAu;hxeia_wyYf[Iv]`Hiq?nHWxDy^IPZyhm?QaVojWapPgmnI_x`n_yim@`jyr?OyyW\\`xqA@uXNaHW\\?pdAykuveI@c;AqmIyCw\\eAf?OoWapPGxIHpxyjRfjyakN`gUFxaOcSvyYAl?qefnu;fvI`xtowHHrpWh^icYOitqy<pdyOmS>yin`\\ya=hntvo[gtmpyYVjkyiO?btFfuaxe_etyhlXZyyZ?xpAxy\\>kYFv;P[to`bIvl@n_ifMIa]P`Iyy`Pcw^xjyqEnks_b:ojdIi<fxpVyqQtKYryyabHsKv\\E?lYgvjouu>dw^etHyjX`s?yTqZUYuR^^X`Z?ykxoit?qn?sL`_;hlj?]^xdshgsyqmAoNw[w^yyN[Bv_<AgOftih`SIa=h_fpbx@uIAdIvlHV^f?bdYf@hwS__:vh^Iw_IoyPoVYbIv\\=V_J>p;FmhYeJ>xan]bYoxoitCV[bBKeqqroeGBCI=MHlQycIw[Qv;?cAaxJ=Rxay_EfXKYryy:oxvcdr=TVYCCuCw?X:IX;CIrIiAoEhSEtiWkqEt=w?tKw\\x<vjXniu^yAv]AYcNiedPgjD:;j^PNaLNQENjD5BImproving Your Maple Code with map and seq\251 Maplesoft, a division of Waterloo Maple Inc., 2005

Maple contains many different functions that are all suited for different tasks. Many of these are designed to help you to speed up the execution of your Maple worksheets. Two of these are the map and seq commands.This document demonstrates how much faster you can make your worksheet by using these commands.

The seq command is designed to repeatedly execute an expression with a variable that goes through a range.

seq( i, i=1..10);seq( i^2, i=1..10);The syntax for seq has two arguments: the expression you would like to repeat and then then the name and range to loop though.

The two commands, seq and for can do very similar things. They both repeated execute command with a counter that changes every time. If you want to repeatedly execute a single expression, seq is a much better choice than a for loop. The seq syntax is very simple and is much more compact and easy to use than a for loop. Let's square the numbers from 1 to 10, first the for loop.for i from 1 to 10 do i^2; end do;This was not too complicated, but now let's see the same thing done with a seq:seq ( i^2, i = 1..10 );Clearly the seq is easier to write and it takes up less space in your document. You can also see that the seq command returned the values in a formatted sequence. If we want would like from a for loop, more work is required. output:= NULL: for i from 1 to 10 do output:= output, i^2 ; end do: output;Also, when creating a sequence, seq takes much less time. Let's find the square root of all of the numbers from 1 to 10000, and use the time command to see how long it takes.st := time(): output := seq ( sqrt( i ), i = 1..10000 ): time() - st; st := time(): output:= NULL: for i from 1 to 10000 do output:= output, i^2 ; end do: time() - st;Seq took less than half a second, and to do the same thing, the for loop took over two seconds. Clearly, when generating sequences, seq is a better choice.

The map command is similar to seq, in that it repeatedly makes use of an expression. The difference is that seq loops though a counter, map applies a function to a list of expressions.

map( diff, [x^2, cos(x), sin(x), 1/x], x );The syntax for map has two or more arguments: the function you want to apply, a list of expressions to apply the function to, and optionally any extra arguments to pass to the function.

As is typical in Maple, there are many ways to accomplish the same effect of map. One of these is to use seq. polynomials := [2*x^4+x^3+x^2+2*x+1, 2*x^4, 2*x^4+x^3+x^2+2*x+1, 2*x^4+x^2+2*x, 2*x^4+x^3+2*x+1]:map( diff, polynomials, x );seq( diff(i, x ), i=polynomials );You can see that in this case, the output for map and seq are nearly identical, map returns a list, seq returns a sequence. This is because map maintains the original data structure, but seq always returns a sequence. As another example, let's use map on a Matrix:M:= << 2 | 4 | 6>, <6 | 3 | 9>>; map( x->x^2, M );map automatically figures out that it should apply the function to every element of the Matrix. Try this again with seq insteadseq( i^2, i=M );Seq has done the work, but has moved the data into a sequence. If you want to maintain your data's structure, you should use map. If you want to convert it to a sequence, use seq.

Maple is a very open environment where you can solve your problems using a wide variety of built in functions. By experimenting with Maple, you may be able to find a better way to solve your problem than you were using before. Making use of map and seq will help to make your solutions much more efficient.

Legal Notice: The copyright for this application is owned by Maplesoft. The application is intended to demonstrate the use of Maple to solve a particular problem. It has been made available for product evaluation purposes only and may not be used in any other context without the express permission of Maplesoft. MFNWtKUb<ob<R=MDLCdNVZZJ:@L>H:TKGxMkJ:<O`Lo\\lQxlQWdMWpsHqShmWhYoeXOPmTPmV`mvqyxq=Xj=xXquXaxnaXcEWc=UR=UweYwELKDLqtPq<R:=r^av^uRAurZ@nZtVauVb=WbMYtMyvayvYyuYYxmYxqyxqYyuYyEYsEYpmXpyyyyypqxp=J:>::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::dy<TypC>qULCTJcDXoXusT<aupkcfWMX@JCeU`dNuTmWxyyyppuPCDSSuLClu><xTpQmlsb]MihUO`qTeXSQO;@JxV]wOl:@syFv<w\\t@tsNnQn\\V?w<w\\?FqJijXynZVvnyHErmiB__tWit[MyxYRIIXvWgtSS=;gQMwAIC]IYrGXRogc[EpqYtsxn=BVSUGuEA[WxKrWaSHssoYBPkynKctqgmyUKAYQYUw_rs=wboYTWXI?IQKyo[X@wydqytYRGAy`ixs[SlyXaSyquy:mel=dXqydIfvgRIeSUkUmUBGwuZitS;eQ?S>AdMasnkySGbDSuimbSabjytNAyMuXlaTWaCp;y?at;_txaTwath?cj=GbgYVGCA[eAkh^ihyaIGoVdGxyWeQatamVHYx:SEIewyacmcSBAvgOyyssEyBVWCwQFtYWxYdMgcY_y^Uy?gce[WXQCDcwGuwHMw?qwx[gacscGrwOtuKFXKsc[FZIBOqIrII]kuICfRosM_yTSEWWcKQs_qGHeIiaWBsvaAXWoFsYTyuIYSdWCet[fZpOYtv[\\XSMvN=Xhluxel]ylvUn;PYsqvkmmCxSEQPsMOeUpQEKN`yVAqcqRQpYxHr[xU\\AtgPVexmHHQYDXptL;ey_\\XHxyTpLQ=qJhJklqA=wPxqOtpPmwQ=kWdSSYjxhQt=li<X=Pr\\HoxMKxppdUPGxl`<RadWsEMUhnMinaqvy\\t]pJw\\Pttt:lw_hy;PxuElWpfypiQyg<IbgHqQ?wRwvFgcQnmtI]lXZoauvw\\]Vi\\?yuIjGqyA_]j^cia\\^vaYfmXYvV_foyd_wZa?yIPfNXpOimbInwiieQyZ@[jf[p_`s?\\N@qaw[<a_=qpdIu]>gnHpUi\\^a[AGcS_y]pnHg_oIi=XkM`bK^yUWjFhhCpif?llhelhkKqk=qgCqqIokJadZ@]IOspHjgQgUv^Mp^[akXNokxcFaxMX>Efx=GJyY]=uKWXuefcYCV_DO;X]oeDwI]UrhIXhKdtYgv=sYMxyMhEAbdKdFED;MBimUYgvNsfBuDgqw^sRZoieyiYEfEAsYOcU;uf_C^;g>EIUmWy]xZ[H?UTiwhayb<EWUAhmghUee]ODLyfkYdOQDNMsleg]mHGkynUrrUhjgbvstrICsOiU?upUhtME_cVUeywWrSeSvIwHqsEUvwaS`mv_kCEgDEEVOoyfSFYGXh[xe;wfsya?Hbcu_SiHUfrStqsgICUKmR;IEGGiEUxSSewkBRcic?f[GHs]WBCeFSXMec@qwQYiOCFi;bd_epghCcrSIbrUFfKXpOE>CdGUVH_ss=GaEF\\Mh_uDJcXeWGSkIA=T`[uhOiKOy;Ido_sBQgPGbiMxZIx[=RNQHCUwlIhVAs>Mxv=t;Iekec[iToeB]YSVsI]UGkMgC=xM_cv]rCkGlOyE=wVsymoRPERGUWoKs>?dNGcqOvL=DcgUUid=SdBYtacBcyT;sC??sXsBFEIPKdwUibUUuowtCxLERxGUPOc=eeWWDJ_tBIFj[RMWXoaIniFDYyvIfFYH;EifaWAAdkQgSuIoYHS?s\\aYnkYcCRXAy;=urSsUEGXovmkdU?bIkuvIhf;hHKRmsIqkGkCIEGSQiUy?r[chy]DW?UJweo_HI;I[iRPuYCce]yIQGSR=SFcY@IHNabEyhT;H\\gC[iiEubXIY[?FhkfAaRyccQ;D<MBLksUGvM]FOSWZaFnmUVOB]Mh`gu]ew:CSX[VU[d^iWCITMkingVmcY;EuIkFZgetaSlkeD_SlUd?SU[Wh`_IHkuNaIBEY@KhQ[IbSfl_CpgV]IBgcf:CrOWWliVPSDMuEkwBYQbgKxGiWfcdg_cCoXDyFoAF<CYd_fZSUKOXmUErmvpWgaQIeWGyMiuOfheFY[UWgdGwe[;X@Yh<owskTwUgjYdvEhnTP`LJatUmyo]xlkUpgPSHmSOiSXtM?HsHhWglnu=ypMosmPWQtXmlLDR^erappAPq@Twu\\mf<ytMo_tNQDmwuUBal[TKM]UZ\\VsUPg\\OhXU]iw>lT>TtolYUeM\\`q:iNFQkMeuB<Y^yq[TqwLxyYk^mPDhUTEL[mxdYTrUwHYpp`R]tsyhm<\\rdhN\\]VGejEyTBLlXhUidSklVcImkuJA\\OFAJxXTJ\\oRpUr\\qnEUf<POaocioXxYUTRxhmKHnoUuBavvxt]@ordyqIl`tycEyg=St<V;LY`DoDElChWYdkpIkSMophnhqkeMW<QX^dogEmM<kxAYM=mpPKmTTMmXeQLnuK?HMeIU``TqMSdeNqmxHeLK=OUpx^@kiYp`xXVdoU@L=PprAPIuR[Qp@YlvPWwQToMpG`jOXyFhxAETieRADKgioVPOyXUlXT:Iwc<NgeMNup\\XWrdQFPQvlP=Toseo>qXbiWO\\yE=PUiPAASgLtxXLG=STASAxj=@WixwX`XOAtHloIeoHiLvyuouMtLtTyJsAxBXr@TqWXOsEKopuAEU<uyO\\LTyPAXm=tOUQneaND]KOYyLyXbtxuhmcYrXMkh\\ylLo_eq`tSeAOH]lqUwiPnkPwlHPgHrehY^pKhPwGPJ;<O<`qU=tMxUUEPW@RdITfYjjaowTqMQjXHJS\\M<EvappT@mWMJ@iOVhyLQKq]T=Eyc=UhqNa]PJ\\X\\Lu[DsQ@O[XRw<Rb`P`tSuejceYX@UN=rFexuHmDmk]XRLaYElRmIP]Pech`rxma?araaCxvWQ[\\aZ`yiFAj?gvVVd^@mGy[hhjxQvjIwMVwPGyXW_EpjDNnsy^EhvE_d:PnkOaDA^CnxEAoCh_ewc;pb[I[ZwcU?kpGwxvcVV\\OWaYGZWqbGG^jVkAQ]mXckfwTVfovZVnZLwfoIeS>e@HtcvsgPn<YqDOxcqbdNmPxtqwhsfag>myOedhqCFkNWqspy]@_VQrIIu]ncLIb>_xdQ^[yw^`^YqbSxeyga>OkV@fpVfeNhmxeSwn^?_GOklf`QqgK_yK?yj@pxvwbHtI`yYai?HvJ^wvQvYngAVo=XhwcReBIMflKTU_b`qrFQC<UGRWY=kVWAiv]X<CSyMycyweoE>?ttksVgBTmtGIXvKDT;D`atpaGQEVA=efoH@]TgswsCfWGEbCCLIYtSwG;tRaC?]hi[TfwSPUcSQYZCuloE[KTnOSTuDPqfpQU_Yx[?UZ=b`yCuETUectcrsaWIGhPUVdCXo[Dn;GTof=AVBcYRGgaaYbsvt=UBuVIOeZKgGmhHQr]]umsifyTPWtneyZKydmHjoWRAsSQHewDS=Hj]C>qdH[XHIgkwTGuvI_sgYDgabSsiLYrb]Ic[uZUuCeGN]InyyjiVnMuJibq]E>=sH[thQDXgT\\qhNwTVmGdoSiKsD]DD]UOksO=fX;XvIdbUwRiisCEv?tEAS?eH[EHiOy[mcE?hY;ewKCr[x;ECpUEaItRMUeMI@wF=GuqIdriXmAiHouB]UEkvboD`]bDeu^UHOsxwKSogVE_GNQbBAduMYQ;Y_]XbqBe[FFYGF=tXgxryYpAFDoidIRHgUf?uXGg]WguGig]URQrp;u=MHYIXxcIamsqEl<uR<PMwtwNMqNYMB?\\aIiqvboxhknwDOv]^r:a\\[WhExsn_cdQo@Ng]orLPnCptE?wJqi:ad`?gjX\\Bol:@dJis[vel^pK>]TpcIHhoSZoXJOhw[WgsesuBfEg]=uuUY=qXZWVYMSZECHWHqeX<Su^EuvYX;AFQQC]]Fl]SNqIO=ILQwhIwZoeqEoOqVY@TTprWANqYsuxNA@WjlpuaXytmXMRkdpI]K\\LT@=Pd\\SxHJSXNhulFYQmtwJhWI<QsuRUpwm\\rQDLyuMgMv>@pS@pftRiUniTV:uRRil<lRY<wltSViLhHKD@vViS`DOfaTvAsyMuKmQUhvqlQuLW@qlr`RddRKIm^QYAaXxdP\\TuVlktMYmyPA`xRivRUoLxKmANalL`qV`eTDIO;MY\\HoQiYnMkHLNqhylUJ\\tS^uKJIMKAY[qufMrxAXfxJyXxe`RPqxOiorlJW]XEHXw\\lJqr=XwN<T>`nFPklHv^LTd]kviu:YwlhWkTyDpLSUVUqQCAuTTliPopuoTHNSQyRts>IqKYKhTNQMseAjoalrQvbIslMp=\\ojLUMDuDQymaoiQulmPMELwhpuplnIvypP`XlCDM>LY@`rdqtoyn@MLFTUUPo\\UWR\\WMetOAoEewLIUctRw@t]ERG@XtqKuHQWqjWLqZ`LTUOTusmHPcYk?DN=uT\\aXSeLNuKrttf@kIunUTXCMtYyRUQplXw`Xv=iXppuLmRUqwTMm[]qxhLElt>lNi@qQ=Q_lRL<NgerhhXwAryAL=iw]IxYTUyhj;poqXPmUgHG\\ganfWfF>hrAwtwy[Ys<VuGXhSGxePjM^exn\\vabHNjTffFYwDNre@qoheHWmoW`]P\\gfq]Ikxx\\?vknnc\\giupovIhMaZOIkjIdVqtv?efnhe`i=OixVueVopxjJOuNY`[W\\jX\\SNkeqrQ_pUghjNiNQtpG\\CIe_IabYs@wwBw\\L`xO?r`qZi?c@WsW`^@fjogeppjkIpnXkKPndGadGidocE>m?Fjf_bYf\\\\?p]HieNqWggeIuCAnhiZwaepYnkgeFyjvOhu_[GQkpioSNa?ndiprUFjcV\\pQngw]R?]WFeWx`>i_H@tAwdbny<x__O`FyggqujAtJhaiAnSAs=xwtp^aYnloln?eYQtA^mJvwD?k\\Ql]xqMPc`_sjV]gvreOsIOkpP^Vy^[Vw`O[gwmLqi]NmZ@hBAriP]O>[@HdmYZyir[Nn<YpeNfonso^]dnfIYuXwkEAcUyn^A`]VeyYulPogAn;?\\K?mt^gp^jXGxf>ysfZsgu=`seb_aIESSJcWewtmCrECfgERaqENChB;f^IvxYL=PS]=yKXmGeMYLmrTSBpL_`UAlmXmXlUTXEn^EsSmmfyREXsDEwelvQqlQaX@@tj<pkTYkDSNqxPQjlusiTJELXQ\\Rw`sPaSUYJwPjdes_QsK`j@Ij_DuFmJmPLmllh<SSPKV<W[eOaaTN@wLltv=qd@OOHrc<K>huhPP=ApSURP]mbIVSurlDLqpKuaVliV>IoOxJxLyGXOhqt=QPBQVItRjdV?]PFPPCyvs]YB]RXAsPLysQT^MuLUODMueDP=UPpHsFUx:XJ`hNlEYKykqQLQHSEur^aX_XJH]UyxtgMRCXtjuo?EQWML[aRSikidoeLsUduWEMthYZyQ[qwxHT[tOu<VGxqb`qp<OQAWOeYIIw^Tv`HrNyP;EKhDLiTqcXLq<NXejsEKseT;MYA<osmuf@U@txUMJYaMFuvVajUelv]xX`ncuThTxB\\wxtvCiu@HsQUQ:msJyUVXLOeUALmdaY]TMouqEExW`xK=QQLyGAyiHP\\xOf]tG>cJw`gxw^f]mIdJwgXiybX]_^\\]x]wXoovfJ`vgQklWrhq`sxqThd_AuXHotauxqvVPs>fXQEG_YGyujGWqaCOyE>WX[wuEwysMHsACawYfsIiqvWiWpWGoGYmqwAeh;_XqGSy[YQUW<kFaUGmuhqeYE;xdwbDUDdWV<OYjmwc]rL?TpuwF_snWumiiaAInyB[aUbyx\\yy`cSLmHxsInwYLwf=ob_ktxgUJWTB]TtIvKkDDMICMVZCH<WWF;vXeuOGe^QeLwik]HkCfrUXu_DgoC[OIyuh_Iyb[eEhqryQ?MwTexIuNbumv<sOiwy]uO>ie?oNXpnFb]iykyv@pnM?^bQbcOp]@pM_wOIZ\\i]tVpGIu=PdbHfMxcxXat?aWPZsww>xaDvv<wqQvyk^piAr_@fdYyfoxsactW_uvgBPmqvmK_ZMArZWZyAvCPmuYd\\AbZp]ZNgXwryXaxva>wfYpcZgem>uxiu[GiYnuwQu<aiJns?\\UNpqHgjfwhq[bahb@xCGbHVkk_nTPeiobfycUf`XnaxidlwiTHjmheF?sw>qWXxTWygQbupZtYpgqpkwwfWvcHZcAw[iuMiyb^mEfyh_yyXsIIosXdJfxvq]>yaR_ZVxy\\bS?EbAws]w]wvcOFoMhwSURagyCYdiTwABuAEGWFuSIGoEkKYIGFYUY]uw`uwXoGuAFVWkGwqyfb@qrrifj?sYpu=@_]on=g[Q@ltQbQNZDf\\FWe\\yquw[<pu^>lvQx\\Yw<w\\<VxRPn=yxiN[CNgB^irOpwGnEfyyWntqw:gwEfZSpi_G\\<?`QnxV?wygm<NZ^qyaGpxxiMpk_OhqYrWx\\t@t?@vAA\\eq_rQqv>uy@tya`Wyy:xvmysXwyYf[MWxoWmIgvoE:;B:MTKWDKWgJ;eZ1: