ABC matematyki dla początkujących fizyków. Równania

ABC matematyki dla początkujących fizyków. Równania

 !"#$&%('#*),+./ )+01203456)8790348+:
<i\J;=mt\K[jX4<?X4@j>AO?]N@kS\oBDCJvSCF\NXEHMlUGJkAIK[8GTB>AUX>Am?U^LNGF>SM@WwD[OFI?nJGQ>S\NnoP MlGQO?[ UV;RG2;:k4>SExLNhF_aMcqkS\oOFU^_a\TGT\NOFO?M#[TUVGwFGQOFIK@WUe>AM[*nJBDGTXWXO?Go@WUVEHGQG*CDYZUMO?\J[ BD@c*OFGJht;=X4_a@W@W\T>A\T\TO?O?@W[a[ MY U^]T@;:BDM#>S\JGQ@O?MU^[*UV]Q>A@WLNGTMO?OFUVGpGQP <?>A@BD;`CFEH_aGJ[WIK<FLNGQM >bGTXZYa;:G@WUecdO?OFUe[W[qO?<FOD>SBD@WXbBof CFErGTIK;=BsiMg>SGTht>SXbhFfuO?CDM U
y z|{4}N~Q€‚}Nƒi„4…K†|‡x~Qˆ‰}Q…DzŠK}Q†|…J‹"Œ‡xp}Ž{4ŠK}Q}Q‡r…F‘…Kˆ‡6ŠK„Sƒi€‚}Q’K€‚ƒˆ‡lzŠ€“|Ši|†tƒ€“‡6€N…F”~N•|–
— ˜ 56#1™T"1
>ACDš LNUe[WMLNc¤MOFUVGQ]T<iO?Xd\KU^[TXb\3wtf?M \K>ALNIKMCoO?kS[aOFLJY4GQ¥§>SOFBD¦9Uech›U^[">AO?YZLTU^[jœ[_ZOF@kAOtU^[WXGQvS@c*OFCTGŽ\NB¨M¡HM:h?BDO?BD_aCJckAXZGTYaO?GŽcpU^[pMGQc8BK>S\J_aBkS@¢MOF<FG1UVhN]QYZ@Wc8[8GJBK©8<iva\KkAž^UŸIGQCDkb@WGQU^[OFCDnJGNUe\[ £
>A<?LNh¬M\TOFm?GQhFO?_aUVGªkS>A_Z\TkAOF\JO?_S[hNnJYa]T\3X9cq@MOF\TBDœCF[WExO?[9UVGTG?žewnJ[IKm?@U^>b[GQž^UV[X4O?@WUVO?G?[#w<?<?>S>A@W@[[WCKO?_S\J@4_SkA@GD[WEHO?XU^[GO?UVMGpBo«xkZ>bBoGN££
@MLN>AM"\QkSwOtUekS]ª<!\T¥ ­4<i¥§[>b¦9GTU^X®[pYa]ª\TmiIK[Z\*YaI?>SLJ@œU^[ŽO?UV_aX4U^@W¢dCTmt\NM#[W@ŽGQO?XUVGoG?EH¥QCT¯\NM#GTXGQ@OFO?U^UGFYZc*wtCoB8kSLJ\K>SId[<?YZ>S[j@W_ZBDk2C?\KErIDGN££
IKLNM"¥
° >A@BDCFEHGJI± ²D<FGJIK\KXbf?>A\TO?UVGQ>A@3<t\MBK_aCJ\KX4@[WO?U^h³@¨_AGQcd\Tž^\QkAh
<iOFG\T>AhF\T<i_a@jLTG¬>d_S<iU^\N¢M@›Ue[kS<?>A>A@W@G?BKw_S<?cpUe[jGQ_až^@W[ZYZ[[1O?U^M[c1>bGQw#@Co@WkS[1LJ>SM[WnT@\´>A\JM#_akSGQ[>ScµkS\ovS<?©T>Awl¢WI?@›CT\JhDvAM#X4GQUgnT¶ U
UX4@WMBDBDO?O?O?\JU^Co_SU^U6[·¹cø \T<iºq\T>A»½h1¼!<t¶t\NwMnoU^IK[4kA@>SU^[*@jG?º3¥tÄ,¸ m?¾Fž^UV¿ X4ÀF@2±*<?c>A¢WÁNI?_ACTÂ8\JGvA©ª¼u_aCJYZ[j\K_ZX4kª@CNM9Gd_S<t¶LK«HÅaEV­£
M`<?>A¢WIKIK\NCJMg\J\TvA©ž^O?M[aY*BDO?Xbfo\oM_aUHU^Erž^G*Ug@WÅÆ[w>A@j\FGQ¥ CFEHGJI?GNYa]JXQw§œ[¹M`XbfDMUež^U#<t\KX4@j]NkACT\NMg[ZY
Ç U^[c*BJw?œ["·d¸`ÈbÈAÉÊ wKcpGQc8BŽMU^¢WXª>ALNMOFGQO?U^[
Ë ¶ ¸Ìº8»¼|¶i¿
«a±j­
ËÅ
¡H<iÍ h?[W\ŽO?_ak2Cože[WX®kSMlYa\G›[aY>AMLN_ZMBKkA>S_aOF\JkSGTO?¢<FO?U^[2hNUe[dYZ_Z[3kAOF\TG<tU!\½<iO?\KUe\J[WI3m?@OFhÌ@GTOtOF_ZGQkA]¹CD>S\JUe¡H[WOFh?cÎGTO?XbCo<ifX®\KYZ¢$>SXbLNf?¶iM\K«rIKOtÅa­ÆO?GQ¥ŸO?[aY"¯UVG?GQ«Ïw_ZhDkb<?M#]T>AI3GQ@œTB¬OtwGQXœW@@[pM#BDkAcG?G s
ž^>A[ZLNY4M¥ OFGQO?U^[>SLJœO?UVX4@WCT\NMg[j­ ¥KÐ\T@WMU^]Tœ[Wc*BqkS\d>ALNMOFGQO?U^[OFUe[jX4\dI?GN£
° >A@BDCFEHGJI$Ñ Ð9GQCDU^[4kbG<t\KI?X@WGJ_že\TkSh"@Wh?œBDM#G<FGQž^U^Ml\OFG_aCDhKkA[C
_S¯<FGDGQExžVLJGQœO?c*UVGŽBJwWU6œWM[&<iBD>A\K@X4hK@WkA]QhkSCJno\NGQMg@WGLNM"cpÒFGJMÓ_SGX<F@WGQGJž^_aUeM#U^[ G9Ë mDÅ,BF_SEr<FG9GT>Až^LNG$M_aOFU^¢dG Ô3cdGJÕ _SUDG œW[!ËTÔYZ[aY ¥
h?× mDBokS[WCŽM´YZ[jIKO?\o_ZkbX4["X4@jGT_Sh¨«ÏX4@BDž^U ËTÔÖNË Åa­§YZ[W_ak_akAGoEHBŽUMBDO?\o_aU
ËTÔ ¸Ø» ×
«”ÑT­
ËÅ
Ô_S«H@WUe¢ªM«HÅaM>S­LKBKMÞ©,X4@WhDIK[Mg\N>A<?GTMgnTUe\T[J¢Tž^¥ woO?œ[ZY[ XbÈbÈAfD٠ʛMU^Ú̞eUÛ Å9wK\TIK>bžVGQGT@8X@X4[@WnJGJ\o_܂<i­Æ¥?\¹¯iCJOFkAGTLTže>A[WBDÝWc©,cpXWGTGo_SEH[*¢,<F<FGTGTžežeU^U^M#Mg\G
° >A@BDCFEHGJIß àlfFX4[Wc*B$@OFGTže[WÝW©"cpGT_S¢"m?>ABFExB1áâ«rO?U^[WXbf3mi¢WIK@WUe[
û
kAX\Ue[JCD¥Fh?²DžVBoGkS\hFGJ<FX®>SYa\JG,cqYZ[WU^[_aOFk9Ue<?h*>Aã"\J_a­|kAGq@OFnJGQI?YaBŽ]TXnTYZ¢j[a_ZY!kAnT\J¢jvA_Z©ŸkAYZ\J[jvA_Z©6kä_akAM½GDEHC‚GFGT¥ œWÇ IKBDkScå[WI?<?B h?OFCJ£
æ
äq¸ á æ ç áè¸³ä ¿
é
CDOFhdUe[gYZnT[jYa¢j_aGQž^_ZCJU6kA\p\JnTvA¢j_Z©gkA_Z\JkAM\J_Sh?vA\T©2O?kS[\KO?C$X4U^[@WX[YZGoO?[WEHU^_a[Zhpk"Y#I?cp_akAGQGDGTOF_SEH[GoB$nTÜ\ªáë¯<?GThFI?hoO?\pM#CoGQ\TkShŽœJmKwtYZm?¢œW>AkS[8\JBFvAExMÞB*X4U <?kZæBD>Scê@W[W«rmoI?<?BF_a>AkAEr@G‚GQBDMmD<FBpU^GTc*kAIKB\ £
nJËJ¢WÔ _akSMå\ovS©I?GQvS>SOD[jBDIKcRO?UVGJ<?­4h?wTOFGQCJž^[6X4U^Ya["GQIKCJ\2\p_Z\TkAm?\JYZ_S¢4h?kSO?\o[WvSXC8U cpË æ GoEH[kAnJ[\ªnT\q¡H>A¡HGT>bnTGQcdnJcq[Oo[WkAOohpkSh cdGJ_aB
äq¸ ËTË Ôæ ¿
ͯGQGoCpEHLTMœc8UVI?BGJ©Q<?w‚>A@YZ[WBD_aCFkEHGJkS\pIK\N<iMl\K\tXbwbf?œ\K[6IKnTOF¢jGq_ZkAcp\JvAGT©_SBŽ>S\o<ivaOF\pUe[\TmKMYZ¢¡Hh?kS\JO?vACJX4XZU”YZ¥ UT\KIKž^[nKEx\ovSXU
ì \K_akAIŽGDExvS[">A\DIKI?\KC‚I?G*GQCDkSO?h?U^že[TUi¥ OFÇ GJ_ZkAkA[W¢IK<?B¹hNYacp]JX4GQ\tc*sJäB« ì>SLN­&M¸îOFGTíO?ïU^[,ðq>ALTñ œWO?ì U^woXnJ@IKCJ@W\NUeMl[[ í2ò#ð
ó
ËJÔæ ¸îí´ïð ñ ì ò
«rßo­
Ë
CoœW[›kALTM¤>A[<iOF\NGTMže[WBDœœWB³_S@>ABD\Tc@WMU^>A]TLN@WMGTOF©¨GQGQO?mDU^hôB³kA@W>SOF@Wæ GQBôž^[MÝj© U^[ž^Ô CT\J« vAì X4­4U2¥_A¯i]M@>ALDcd©¨U^[hDO?M#O?[JGQsnT¢Jw
«r@cdU^[O?OFGqO?U^[@jGQž^[œWOFGJ­l\T>bGQ@ Ô U «r\Tm?U^["@WGTže[WœW]8\DI ì ­Æ¥ ì
° >A@BDCFErGTIŽõ ö,>SnoGQO?UVGfFGT>Scd\JO?U^X@O?[J¥‚àlU^¢œjGQ>A[C@WG‚MU^[W_S@\TODB9OtG
M:_SI?<?>S>AnoIK¢GNLKœWYaErBo]T­ªOFXBDUlUe[Jc÷OFwMGTM¬_aBKkSXb¢WCofD<?U^[BoO?>Až^U^h?\T[ŽO?OD<?BCDhFh8<?_SU^<?@W\TXUeO?\J@\NO?\JMg\NOoMBJ\9wBD\Kmtc=I2¢j<iIK«HM´\D@U^EH[$\TnJœWLT_S[>AU^O?¢p¢&UVUKG9<tM´\J>A>SLNI?hFMLD_SO?@WEF\NGDMM#Eg@GQ>AnJhFnTže¢jU?Xbf?IK«rO?[[<|cc ¥
<imFUe\D[WEH>S\T@WœWc*[O?B*UVGª\ovŸ>ALNù$MM³O?\NCoMgU^[GT>AnTh?UxO?­|CD<ihp\KIp<?U^M\TOF<i\NEHBDMMlBo[WcÓcøUt_S<FUxEH>SBd@WBo_a<F<?U^>A_S¢@œWc8BKB*_ZkA\Jù¹vA¸X4U”¥ Ç IKBJžVG £
<FCNGªh?O?ùŽComikSh8¢WI?>S@LNU^M[O?_a\NU^¢M#\KGQX4nJ@WUÏBo¥ MÇ UVvA_SX4<iU^LD[EH@>S@Wcd¢WUeIK[WOFO?GUVGT<?©#U^\T<iO?\D\NIFM#X4@WGGJ<i_6\D>AEHhF\TXbœfD[Wh|O?ÒÆUVGYZ[WX4_aU^k&Û¢œj\JGQOF>SG £
¡HhFO?CJXZYa]qX@WGJ_ah¹ù§«rÅa­#U\T<?UV_ShNYZ[#Ya]q>SLNMOFGTO?U^[
Ë Âù ¸Ø»#ú  ù!¿
«HõD­
Ë ÅÂ
¯OFGNYaIKݪ>A\T@WMU^]T@WGQOFUe[,>SLNMOFGTO?UVG$«rõo­ÆwFù§«HÅa­l¸ Ü
ü / ),+Ã01203#+`$9§01
Ç<?>A@_SBD@BKCF_ZEHkAGJCDI?UeGT[ôXbf3>ALNOFM\JOF_S@WGT]ŽO?U^OtGýGQ@>AMgLTœW¢*O?>AU^XLN@MCJOF\NGTMlP[Ì@<iM\DBKIFXGQ@WO?GNYZ[ôODBKMþXbf <inJ\NI?MBoBDœqœW_SIK@\QBKkZXbBof £
MO?X4@jUVU^GT]g[Xbž^¡Hhuf½h?O?O?>ACoLTU^[X®œWYZ@jO?U4GQU^YZž^X[j[@IKœCJODO?\NBK[aMY|XbBDf3@Xbcd@f½cdUe[WXO?U^@W[O?]TO?[a_aODY4kSBK¥CJÍXb\Nf[WMvSBKžekAUQ\XbOFf cdUe¥[W@LN¦OFMGQGTU^YZOFc*MGgB1Bo¡Hœjh?M#_aO?@WkSCoB¨[jX®IKYa_aB3GkS\J@j\<?GQU^ž^>A[[LNPœMB,<iOF\K\QGNI ££
>AMýXbLNf?M\K<?IKOF>S@WO?GQBD[aO?YŽC?UVG?ErMGT¥ I?BKÇ @_ZU^kA[,¢<?<?õt>ShN@WsFBDYaт]JC?£‘X4nTEr[aGT\qYŽIF>SGTM@WXb¢WfIK>Sh|LN± Mó¥ ß2OFGTcpO?GTU^h³c*BŽOFGQ>A@WLNBoMM#OFGQGQODOFBuU^GYZ[W±4_a£‘k$nT\*>A@>A¢W@¢jI?IK[ch|w
ÿ Ð_S<t\J[N@ExMO?UVUVGu]Q@WkSGT\uO?U^>A[LNcÃMOF>SLNGTMO?UeOF[JGTw!O?kAUV\uGp@W>SOFLJGTœO?X@UVX4B›@WCT<t\N\KMgI?[_anJkAG‚\,MYZU^[j\T_ZOtkGu¡Hh?IKO?\CoX®>SYaLNGFMwiOFCoGTkALTO?>bUVGG
@W GTBDcdMgUeGF[WwFO?U^œGq[dnJEHGQ\qkZMîMl\"kS\JYZ[jœW_Z_AkGQcd>S\J\J@vAM©QUV¥ ]Q@jGQO?U^["@noGTIKOF]J©QÒKkbGQCqYZ[W_ak,Må<?>A@Bo£
<F>ALNGJMIKOFCDh½GQO?>SU^[2LNMM OFGTOtO?GTUV_aG½kS¢«Ï<FÑThN­2Ya]T@$XB1IK>A_Sh?<inJ\JUe[W_SnTLT\3m|st<?M>A@BoBD>bCFGQœjEHGJGpIK\Th|OF¥ \° <D\JBo<FkAGNGQkAOF>S@pUe[JOtsTYaG3GTC‚kS\G
c*» ht× _aÜ UmDBK©9¡Hh?OFCJX®YaG Ô «HÅa­ÆwDCokSLJ>S[aY&<i\DXbfF\DI?OFG9YZ[j_Zk_akAGoErG2UMBDO?\o_aU
Ô
×
Mg ÈbÙ GQ\TCNž^OF]å¸ ]¡Hh?_a«akA»O?GoCo×ErX®]?ÅlYawg]ô"ï O?YZU^"­[[W@j_akGQ%"ž^[¸ œOt«H»]Åa­ø× \KwŸI³¸ <F>AÅÆG‚¥9» M#²DGu<?Å2>b_aï!G‚kSM9>A\TòIKOF@WdGFGTs#c*noIK» BJ@$¥ × U^["#|wŸ[WXMg@BDG¬žeYZU[j_Z_ZcpkAkÌ>SGT\JIKc*OF\QG?B £ s
kS¦9ÈA\JÊU^œW[p_AGQ@WcdG‚M9\J_SvA@©Q[,¥ YZ[W_ak"kAGTCu<?>A\J_akS\8YaGQCuMÓ<i\NMBDœW_S@BDcê<?>A@BDCFEHGJIK@U^[Tw
X4_S<t@W¢W[j_aX®kSYa\1GQž^O?>A\T[2@_SM<tUV\o]Q_a@j\JGQmDO?BTU^[q¥ >SLNMOFGTO?UVG2YZ[j_Zk8_S@4kAh?CN]1U6kS>A@[WmFG1_ZkA\J_S\NMgGJ©
Ç \p>SLK@©4nJc8GJIKBŸBDYZMg[j_aGT@jO?X4U^@[,[Ÿ>AI?\T\9@WM_a<iU^]T\J@W_SGQ\TOFm?U^hªG2M¹kS\pYaGQO?CDUVUQXªhFUe@OFBKO?_a[CNnJGT\ªžeUVYavaGQc8CŽB9@j>AGT\T_a@kSM\J_SUV]Q\N@jM#GQGQO?O?U^[TU^[ ¥
\T<i[>bGTXZYZU|XGDExCJ\NMgGTO?U^G*IK\p\Tm?h1_akS>A\TO¹>SLNMOFGTO?UVG?s
ËTÔ ¸å» × Ö& ¿e¿^¿ Ë Å ç &:Ô % «HÅa­ Ë Å6¸ » &=×tË ÅÆò
ËÅ
X4\pI?GQYZ[ª\DX@BDMUVvSXUe[ª<i\DIFGQODB"YZh?œ"MBDO?U^C¥
' @WBK_aCNGQOF[ >S\J@MUV]Q@WGTO?U^[ Ô «HÅa­ ¸ » × Å(
>OFA\T]¨@M_ZkbUVGo]QEr@j]GQO?I?U^\N[c=Ml\J\JžeOFnT]FLJ¥žeOD BDGQc C½OFmiGT¢W_SI?@@[WU^nT[1\2I?>Až^LNGMCNOFGQGQœWOFI?U^GF[nTwJï \¨@jG‚>AMLNUeM[W>AOFOFG"GQGTO?\J@BDUVO?G½Mg\9GT±YZ[j£”c*nJIDB\ £
>AM@UV¢W]QI?@Wh|GT¥O?ÇU^hq\J<?nT>ALJ@žeBDOD<FBDGJc IKCDmih¢WIK>A@WLNUeM+[ OF)6GQ¥ O?Í UV[j*G va)ž^UK£”OFkS[WG"nT>A\q\T>S@W@WM¢WU^IK]Th¹@WGQ_ZOFkbUeGo[gEHBDOFXbGQf>A@MîhtX4>A\T\TOF@4[ £
_AÑK]8winJIKI?\K@I?U^GQ[8kSM#CJ\NGQMl>Ah?[9O?M#CDGQU^[>AcÃh?O?CD<tU\KX4«xkb@jGQ]NCªkACTYZ\N[WM_akBDMôcø\TYZcp[W_aG‚k MÔ UVGQ«HODÅ9BD¸ c:<?­9>S@W¸ BDC?Ô3ErGTÕ I?­9@kSU^\ [
M#EHB8GQ_S>S<tkS\J[NvAExX4O?U|U^\T_aOFkAGD[TEx¥ BK XbGQf¹CDOFUe[GQž^>A[\TœW@WBŽMkbU^]TGQ@WC$GTI?O?\TUe[g<F@#GJ_aCT\N\JM#O?GTCD©>S[GQkSmDO?BpU^[#kAM[2BoÛ MgmFGT>A>SGThFOFO?]ªCD_ZUkbmoGoBoErG £
«Hž^h?m3_akAGoEHBDcdUV­gOFGT@BDM#GQc*Bp>A\T@WMU^]T@WGTO?Ue[Wc=_a@jX4@[WnTLJžeODBDc ¥
,.-0/1-2/
°_S[\o<t_ZGQkA>b¢GT<iX®\NYZMgU@WGTcqO?U^U^[u[OFM¤OoBKkZXbBof c ¶<?Uª>S@WÅÆBDwl<F@jGTGQIKO?CDU^cþ
hý<t<?\J>Aže@[WBKnJ_ZGkb]oOF<?GÌU_SM#U^¢X4@WIK[W\vSO?XUe[aGoYaEH_aCT@W\T[ZY£
M#<i\9GQOFYZ[jU^GFIK¥ O?Ç[aYg_akZkSBD>Acê\TO?U^X[[ž^>AhuLNMOFOFGTGQže[WOFœU^B1G"mDkAGTBFC3EH\*<?M>A@BD[>ACKGT_Sœ@4[WkbO?GoUeEr[,X4UV@W©"G‚M>SLNU^M[>bOtGNGQYaO?]JX4U^[8[#GTkZBDmož B £
CJš \8O?@W\Tcdœj]TUe[WXlO?\TOFm?]dU^[g¶i_awFkSGq>A\T<tOD\pB">AIKLN>AMh?nTOFU^GQ[ZYOFU^ó GkZ<?BD>Sže@WCJ[\8@ @WË cqÅ!U?U^[IKOF@WOFUe[W]dž^]JÅÆXl¥ <F>S@W[@gºŸ»*¼|¶
hF@BK_aCDhNYZ[Wc*BŽ<i\Tœj]TI?GTODBp[4¡H[Cokjs
˶
º*»¼!¶ ¸ Ë ÅÆò
YZno_a[akSIKY>ABD\T<iœ,OF\Ue@W[Jcd<?¥ >bUeG‚[WMlO?OF[aY4Gqwt¶pU\KMIKBKM_ZkA>A¢\Q<?kAO?hNYZUe[J[wtkZ@WBDcdž^CTUe\q[WO?<tOF\dGŽž^[şMgYZ[W[ZYg_ak,_akSkZ>ABD\Tž^CTOF\Ue[J<iw?G*\O?<FU^>A[ªG‚Mgcp[ZG Y
<F >S[\J>bm?GQ@›že[Wcd\Jm?LNhFM _akS>A\TO?O?[½XWGoEHCT\NM#GQO?U^[ukA[nJ\>ALNMOFGTO?U^G¬O?U^[´_akZMl\J>S@WB
Ë ¶ ¸ &RË Å ç » ± žeO2«Hº*»¨¼|¶D­l¸³Å|Vï ò
&
º8»¼|¶
¼
M_SCNBD]T@WIŽOFYZGTh?Xœp@BK<?©,>A_S@@[hF@qC‚@GTMOFBF]8EH¡H[ph?GQO?ž^ConTX®[YZmF¢">A¶GTU^«HXÅaX­@WQO?¥ [8<?>S@W[CNGT_S@4kbGoErX4[WO?Ue[qcd\TœWOFG
,-0/C-Y,
Z[;CBT\$M$]H^@8EI7_`69]18Aa^41-cb698=?8Aad;M$HL4eE;fg]H
8I7Mh;1EI8M$4iF
3547698:<;>=?4A@<;CBD;1EGF9HJI7K"HL4AM<MNEPO
ÇX@W]QkSCTCT\J\NO?MgCD[p>S[«HkSž^ODh?BKmXbfm?>A<F@>S[W@WnTBo\N<tMgGT[jIK­4CNwKGTMXbBof!nJw\KnJIKIKO?BU^[Z<tY\KYZ[WI?_aGTkO?XW[Go_AEHCT]1\NMgM#GTGT>S©,h?MØOFCo\TU6CD<i>S\Q[££
OtvSI?ž^\q]?\T¥jOD@jÄBKGTXbkAI?f*>SGT@WODnTBoBD>bc8GQXbOFf$hNYZU^XWMg[&GT_SGTXbUe>Sfq¢&hFM#@WO?GQCTkScd[WLNI?M"UVB,GT¥ _a>Ak6\T<t@WM\o_bU^]TEHh?@WnTGQU^OFM#Ue[6GT©#_S@W_aX4U^@W¢9[XnJGDLTExž^CNO?][TwO?GJU^[IK\J[@CDOFM#GJGNX4kA@O?\T[ £
Ç
°
YZ¶ [jÕ _Z>Akj¸LDw§©œWc*[¥|BôMRàgIKGo\XbEHCofDhQM>AYZ\TU^[@žec*Ul<t<tGNB1kS\K>AMØX4BD@jMg]NnJkAGT>ACTGTO?\NO?[MgnJU^XW\½[ZGTY"Xb\Jf|Å8_awikA¸ GQIKkSžVO?GŽÛ U^\¬@<?cd>A<F¢WU^I?>S[@WO?CTBo\JOFCFvA[ZEr©dYGTÅÆIK<is h!\DX¥ @W]Q\KkSÅÆCTI?w\NGTIKM#O?žVGG[
@WcdUe[WO?Û O?[ZY#¶is Û j ¶«HÅa­ª«r<?>A¢WIKCJ\JvA©¶«HÅa­#\KIK<i\NMUVGTI?GqXbfDJÛ MjUež^U|Åa­
É Ë ¶ ¸ &k Ê Ë ÅÆò
& k º*»
¼!¶
X\pI?GNYZ[
» ¼ ± ž^O2«xº8»¼|¶K9­ ll kÉ ¸³mÅ ll kÊ ç » o¼ ± n ž^O2«xºq»¼!¶D­»¨ž^O#Dº p¸³Å
ç žeO º8»¼|¶ ¸Ø»¼|ÅÆ¿
º
CK¯ô_S@4\Jkb_aGokAErGQX4kS[O?OFU^Ue[Z[ªYq_a>S@WLNh?MCNOFGQ\JOFvA]8X4U#¡Hh?MOFBDCJ@X®YZOF¢"GJX4¶@W«HGTÅa­4c*s B¹YZh?œ3<?>A@[W@1@MBDCFEx[1<?>A@[£
¶«HÅa­&¸ >¼º q ±» rDs7t Ê u ¿
šOtGQ\TO?œU^[j[T_a¥ @qÇ _a_Z<Fkb>AG‚G‚M¹M9YaIK]@WU^IK©T\,wFœW\T[8m?h*@WOF_akSGQ>Až^[\T@WO"Ue\J>AOFLNMGdOF¡Hh?GTO?O?CoU^G#X®YaMG$Bj¶iYavA«rX4ÅaU^­\NMl_a<i[W[‚nTEH\O?UVT¶ G%‘«H>AÅaLN­ŸM#¸ £
ºªkA[»3œJw&¼|œ¶[«HÅa_a­l<iU[‚EH_aO?<FU^>A\TG‚ODM9BuIKYZÝJ[jwo_ZXk$@BpMg\TGTkS>S>Ah?@OFBD[c*C´hN<iYZ[ª\KX4_S@jUe¢]NkSkSCJ\T\NœjM_SGTB´cd¶\J«HvAÅa©Q­¥K²D¸ <?>bG‚M9IKIKžVGÝ
Û
ş¸ Û ¥
T\CDÐmFUe\J[ahFY§@_Z<FYZkA[jGQ>S_ZkS\Jk9>AO?@@jO?c*GQU^[<?BåUV_A_AX>AGQLNGDO?MEx[,CDOFhNkSGQYZ\p[WOFc*O?Ue[îUVBpX«akSkA±j\d\d­uO?>S@¬LNU^[2M<FOFI?Ue[WGFGT>SO?¥ M9U^° [_S\T@M÷<F[WGQnTkAkS\ôGQ>ACD@<?c*U^[Z>AYg@BBD<ts CF\oEr_ZGTkbIKGTh|X4U¥ M´Í [WYavSGNže£U
¶ % «HÅa­ Ë ÅŸ¸Ìº &=Ë Å»¨¼ & ¶«HÅa­ Ë ÅÆ¿
<i>bàgGQ\pGož^O?EH<?CTUe>A[\NG‚M#OFMgGQUe[Z[ OFYgSTUe[8OFh?GQnTže[W<i>AMl\QBDkZ@[aBDYU^[CN_ac8GQkSc8>ATB \TSBODmiB3X4\"@NO?Ex¡H\JU^h?[ŽO1O?_ZCo@2kZX®M#XYaG"GoGQEH>A¶CN@W]R«HGÅa­Q*<?YZ>S¶[W\J_a«Hm?k&Åa­ž^<?[Ë c*>AÅÆ@wth![jCoX4wkSU^OFLT[œ>AGN[ZkAO?Y#\TU^cdOF[@WGQU^OFkSGJhKGN_Zk££
OFG7U
&

vwyx?z|{~}P€?‚„ƒ~…†„x‡iGˆ0‰?Š…Œ‹|}P‚„ƒŠ0ˆ{~ƒ~T+9ˆŽ…*x?zD‹y‹J‡iz9‰9‘’‰?ˆG“
‘~ƒ~}P‚„ƒ”•—–A˜™Lƒ~š2Š<{~›’š0{gƒŒz9x?zPœŠ}P‚„ƒ
ÿ Ïÿ `ŒŸžŒ
+ ¡›¢
Mö,UVž^]QGp@WIKGTMgO?UVLKG?Xb¥ f<?U^[>AM9_S@BKXbf$<F>S@WBoCFErGTIKLNM³cd\Jœ[c8B"YZh?œ"<i\KI?GT©>A\T@4£
° >A@BDCFErGTI±
˶
£ >ALNMOFGTO?Ue[Js Ë Å ¸³º*»¨¼|¶
£ M#GQ>Ah?O?[WCp<t\KX@W]NkACT\NMBsD¶i«rÅ&¸ Û ­Ÿ¸ Û
º ±¤» r s7t Ê u
£ >A\T@WMU^]T@WGTO?Ue[Js ¶«HÅa­&¸ >
¼ q
°é >A@BDCFErGTI$Ñ
_CTakA\NmDGoMgB2Er]o[ZYIKýG\Ô CTQ«r\JmDşPFBd¸ X_aG<i>S­Ÿ[‚\JEH¸ @O?MU^\TÔ UVOD]QÕ B*@jwFGTmDX4©6BF@W<?BoE>Až^M#@U BDGQCF>Ah?ErGTO?I2[WCiOtwTGQœž^[[9œIKBgžVYZG"[j_aM³@jX4Xb@fD[#MIKUe\Jž^UF<F<iGT\K_S\NX4@WMg]QGJka©£
Ô «Hş¸ Û ­Ÿ¸å» Û ¦× ¥ Û §ï qw?_SCN]TIMBoOFUeCNG?wDœW|[ ظ Ô Õ ¥tÄ_akAGQkS[jX4@4£
O?MU^BD[#c1h?@s BKÔ _SCo«rÅahQ­ŸYZ[¸ c*ÔB*>SÕ \J» @M× UVÅÆ]Q¿ @WGTO?U^[l@WnT\KIKO?[g@MgGT>ShFO?CDUe[WcØ<t\KX4@j]NkACT\Q£
ODU!š BK_A\JXXbœGDf¹[WExCJ_SU§@9\NXMgGokA\8EHGTCTO?_A¢ªUeGQh\Jcd@h?\2OF@GJBKh?X4_S@W@CoBK\JhQ_aOFCNYZ[]?GTc*¥©,° B_ZkA\dM\J<i_SBohN\TOFYacd]TUeCX9O?¥ \TkS[jœWXb[f?O?O?U^h1U^CT>S¢,LN_SM[Ot<tGQGQO?>bGTUVGqX®YZ<?Ut>S@@Wcd[@U^[OKË Å£
ËJÔ ¸Ø» ×tË Å ç Q +Ù Ù ¨ ËJÔ ¸ » × Q k Ê Ë Å ç Ô «HÅa­Ÿ¸ Ô1Õ » × ÅÆ¿
ËJÔ
£ >ALNMOFGTO?Ue[Js Ë Å ¸Ø» ×
£ M#GQ>Ah?O?[WCp<t\KX@W]NkACT\NMBs Ô «rÅ6¸ Û ­Ÿ¸ Ô Õ
£ >A\T@WMU^]T@WGTO?Ue[Js Ô «HÅa­&¸ Ô Õ » × Å
°° \T>A@cdBDO?CF\JErGTœIBDc*ß Bp\Jm?U^[ª_akS>A\TODBp>ALNMOFGQOFU^G¹«rßo­g<?>S@W[@ Ë æ
æ
ËJÔ ¸Þ«rí¬ï´ð ñ ì ­ Ë ¿
æ
æ æ
\KÍ« ©ªD[WI3vS« že@U,cdª OF­U^GT%[Ë O?_S@WOFG›¸³[ZY m?õDì >A« sBFEHG3Â Ë 5¸YZ[W_aU|©ªDkM9« CDì_ah?kAª G‚ž^¥|]½MÄ,UVkSGQm?\´c8ž^U^XMBŽ@WU^GTIK[c*c8\dBBu>SLN>AYaMLTGTœWOtC¬O?GQUVO?@jX4GQUV@GTž^CJ[ ¢ œWB¬Ë \JmKs YZË ¢4kA\JvA¸ ©
ì ì ì ì
ËJÔ ¸ «rí¬ï´ð ñ ì ­DDõ « ì Â Ë ì ¿
Ç>A\T@W_S>A[LN<tMGQOF>AGQ\NO?MgU^GTh3O?M[Tw4BKcd_ZkA\J¢œ<?OFhQG,Ya]dMkSUe[W¢j>AXlGTXW@*GoEHIKCTM\NU^M#[*GT@©6cd\JU^m?[hFO?_aOFkS[T>A\Tw O?Ô OFUeU[lì >SLN¥M²K]OFGT\TO?O?U^[[
MÞI?GQYa@j]TGQX4CDBD>AcÓ[W_SUec*[8hŽ@cd@jGQUe[WCDO?>SO?[j_a\oU^vS[XU@cd<F>SU^[\JO?cqOFU^\J[vAOFX4U^UFG cpì GJw|_aX4BJ@w BDž^U |Û Ô j «ì Ô U6YZ\K[jIK_Zkg<t\NcpMGTUV_AGN] £
Û j
CDh?ž^U|\d<?>S\JcdUe[WO?Ueh ì ­
& k Ù ËJÔ ¸ &­k ¬ «rí¬ï´ð ñ ì ­DDõ « ì Â Ë ì ç
ç & k Ù ËJÔ ¸ô9õ «Ÿ«rí &­k ¬ ì Â Ë ì ï´ð &­k ¬ iì ®~¯ Â Ë ì ­ ç
ç Ô l kŒÙ ° ¬g± ¸ô9õ «Ÿ«Ïí ì ª l k¬ ï´ð Ѳ mì ³ ¯  l k¬ ­ ç
l
l
ßl
ç Ô « ì ­g¸ÌDõ « ì ª¦´ í ï ÑQ² ð ñ mì µ ¿
ß
>SLNMOFGTO?U^[Ts ËTË Ô ì ¸ôõ9« ì  «rí¬ï´ð ñ ì ­
£ MgGT>Sh?OF[CŽm?>A@[WnT\NMBs Ô « ì ¸ Û ­Ÿ¸ Û
ªË´ í
ÑQ² ð ñ ìiµ
£ >S\J@MUV]Q@WGTO?U^[Ts Ô « ì ­l¸³õD« ì ß ï
ªÌAÍ ÂXÎ ñ
ªï
ã|Ï
£ _a@Wh?CNGQOFGqcpGT_AGdIKž^G ì ¸ôãqsá ¸³õD«|ã
³
Ô
M²K<?Bj>AYaG‚vAX4M9U^\NI?MlÝTw?[ X4@WÈbÈ ÙBŽh?¸ @WBD¿_S¿WCN¿ GQO?[">A\T@WMU^]T@WGTO?Ue[ « ì ­_S<t[NExO?UVGd>ALNMOFGQO?U^[
¬
<FÛ° Ô9U^>S_&Ü@WÒkSBD[WÝÅC?ЛnTErћ\2GTIŽù§>ALN«rõ MÅa­—ÐOFGQÑ\TOFØG@WÙ­U^MGªU^Þ]T@j@WG‚ßGTMO?àÃUe[WUeá+[d>AGªÔ?>AÒTLNkAâ›M>Sßy[jOFãYvSÜD©9GQÙOFOFÓåU^GTG›_akSäG«H¢WõDâœ<?æi­*hNçErÜYaGN]T×ÊkZÝXXWMgäG]?Òy\3›s ßDЛ@Ñmá.nJÒ?Ñ?GJÑ|ÜIK×LÓÕOFÔ]JÔ9ßT©QÖ×.¥§ãÊâXØG¯äœÙ`ÙÃGQÚ£è
ÓéÑyÚéã2êRÖ~ÑmÓéë Û Ô?Ü7ÒݐМêdù§«HÅaŒ
»>b#G8ú&@ OFñ U^° Xbf1\J_S_a@<ih?[‚CNEHGQO?YUVG8M9kAvSGQ>ALDCDIU^[ª@CoOF>AGT­BoODkSÞBD[W>SßmXbU^fŽÓìh?c1¡HÜAh?ßi¥?O?çm¦9CJßiXZÜÃU^YZ[4ëRUkA>S[Þ
hFž^[âgI?äicdO?í›\p[äcOo_ZÔXkbkZМGQMí›>AÓîOoU^[BK>bÜAXbIKëïf|@woUVÖG©QCoã2wDÑDkSœWLTðÊë[ £
_A²K]q<?>AIKG‚MM9UeI?[ª@WkbGQGQc8CDU^Bp[,IK¡HhFž^GdO?CJùXZ«HYZÅa[T­&sF¸ô_SUeO#_aU^úŸO#ÅgúŸU|ÅÆ¥X4\o_DúŸÅÆ¥
«Ï«Ï_a_aU^U^O#O#úŸúŸÅaÅa­­ %i% %t¸¸ úŽ»#X4ú&\o_D_SúŸUeO#ÅÆò úŸÅ6¸Ø»#ú&Âù§«HÅa­4¥
é MU^¢WX"_SU^OlúŸÅ§YZ[W_ak,IK\Jm?>ABoc`>S\J@MUV]Q@WGTO?U^[c1¥ é ž^["O?Ue[*\TnTLJžeODBDc1¥
Mž^° U^O?GTU^O?Uecd\NO?M#Ue\¢GqkA@jGQG‚_ac8MU^ODBTUehF[WwN_S>AœWGqGJ[9©§U>SI?CJ\JM\J@M_SUe[&UeUVOD]QI?hF@j\N_AGQMlG O?\JU^že[O?\T[6nJ_aLTkAž^GDO?Ex[[J¥W>S²DLN<?M>bOtG‚GQM9O?IKUVG"ÝTwÆтœW£‘[ŸnTCT\"\J>Ac*@¢Wm?I?U^OFhqGJ<iX®Ya\QG £
ù§«rÅa­&¸³·g_aU^O#úŸÅ|Vï òX\J_oúŸÅÆò
no«rõoIK­4@¥ U^[2Í [W·i_agò k9òªkS_A\$]ŽM,IKEH\NGJMgvaOF\TUež^[8ODBo<tcd\o_aU!@W_ah?kACDGDUeExM#BDcdGQO?U”["wF>A>ALN\TM@WMO?UeU^[W]Tœ2@WGT_aO?<iUe[‚["EHO?\JUVnTGpLJ>AžeO?LN[JM7¥ OFó®GQO?O?OtU^][
<i\J_akAGJX4UV]">A\T@MUV]Q@jGQO?UVG"\JnTLTž^O?[WnT\"@[ª_akAGoEHBDcdUií*ò7ô¹YZ[W_akl¡HhFO?CJXZYaG
ù«HÅa­&¸îí_SUeO2«HúŸÅVï ô6­
«Ï_a<F>AG‚M9IKÝJwDœ[ªkAGTC"YZ[W_akb­4¥
Ë Âù
£ >SLNMOFGTO?U^[Ts Ë Å Â ¸Ø»#ú  ù
ï ô6­
£ >S\J@MUV]Q@WGTO?U^[,\JnTLTž^O?[Js ù«HÅa­&¸îí_SUeO"«xúŸÅ!V
\K<ií³I1\KYZI?[W<iG‚_a\DM#k,EH\TGQGQOFœWcd[],O?<?M¬UVž^GpU kA>bhF>AGTLNI?I?M]ŽU^GTO?I?OF\N>SGTMgnoXbGQGTf8P›nTU?Ux­Æ«rOFw?X4GQ@WGŽ@WBDBD_ažeU§MgkAGDcdGEH—G GT_aU^CKôu¢#_aBD¡rYZGQcp[j@j_Z]ªGQkž^IKODM>SBoUenocÎ[WGQžeCJP|M\J¥ vABKÇ X4XbUVfo]dU^[BDž^CNž^CT[]N\oO?kSvS\NU^©l[M#c ú ]
Ot@ªGQ\J@CoBD>AM#[W_SGQ[OFcRG"YZI?[W>S_anok"GQXdP @¢jõ÷_ZkA>A\J[vAžVX4GTUVXZ]ŽYa]2CT\Kú´Ex\N¸ M#]Žg ö IK¥ >AnJGTP|wJYZ[W_akª\JOFG$@MUV]Q@WGTOFG
÷
ÿ+Êø ùP"žŒ
+ Œ¡~¢+
£
,-ûú-0/
ü\hETOýaÿþ?BP8:$8Aa HL=?]\
4Ã@<]H2K
¶X·9¸d™Lƒ~š2ŠCx¹?™2ºgŠx»0¼~‚¾½ƒ~†„ƒ~…*ƒ~}mŠ‹x<wyx›’‚„ƒgˆ{~¼¿P}D‚9ÀÁù¶$ÄŚ2Æǃgˆ$x$wDˆx“
…*‚„ƒ~}P‚„‹¦ÂiȂ7x|}P‚„ƒ~š0€¹x¹ÉP¼g{~ƒ~}P‚„ƒ+…oiƒÊ™.‡ˆ‹Dyx¹»0¼~‚÷mÂ
Zk<i¯BD\TGož^>bEHCTLTX®\*YZœ\Jc8YZOF[WBTIKGQw|ž^OFOFœWG1Gª[_SIKOFUx\"ErGuG <?<tó >A¢W\J_SI?>SUxhtCTErGŽ_a\J@jvA\JGNX4<tYaU?]T\JXXW>S@W]1h]J_Z_a\JkAU^CovS¢$>SUF\KX¶*IK@WUF]TCN_aGF<FkS¥>SCJ@W²D¢Ž[WUHX4Er\uU^G$Mcp\JOF<tGJGª\J_aIKU^>S[ \2hŽÔ CDYZ[WU^[_aIK>Akªh?@<FO?UVGo>SCD\TErhG £
>A<ihF\KXbX4fD@jh|]NkSw CJÞ\NMl¸Ó[aY§» <?>A¢W¶uI?«CT\JvA¸ ©gM
iBD)O?W\JÅ _SUx ErGªÛ ¶ ­ÆÕ ¥ ¥D° ²D>SCT@W\JBjOFYZ_acqkS>AU YZh?c*hNYZBJc*wFœWBq[">AMåLNMXbOFfDGQMO?U^U^že[ U
\Jcd<?U^UVCD_aUÏhNs Ya]JX4[8>ShFXbf¨X4@j]T_akSCDUÏwX4@WBDžeU<i\J_ÆExh?œWc*B_SUe¢îóó@WGT_AGTIF]IKBDOFGQ£
Ô Ë Ë ¶ Å ¸Ø»¶i¿
«J­
вD[W\J<F@GQM>bUVGT]QXZ@WYaGTG*O?@WU^cq[,>AU^[LNOFMOoOFBKGQXbOFf|U^sGFs
o>A¯BD²DGTc <?_akA>bGQG‚@WOFGJMgLNXbXWf?M]9\KSlc*IK@WBd@GTUKO?_aIKU^Ue¢&>ACDnJh*YaGTGTGTO?CNcd]2U^[T<?wN¡Hh?GlžeUeOFkSYaCJhtGQX®IKC*YaBg]8MYZ\TUV[WIK<F_a@WkU^_AUe_S[WGTUxže©,ErUVGva@c8\TcdB2<iU^\T[M´>AO?h"O?<i\o\J\TvSvS<F©>A>S\D@WGQI?[WcdC‚IKGFO?<?w4U^ž^c UeM½kShFCo>AIK\TkSB?LT@Ü ££
I?_SUH@ExUVBGQž^\J[<tÑK\J¥ >Sß?h¨¥^±2\T«H<F>ALNU^_SMhNYZOF[dGQO?cpU^[2GQž^«[ZJYa]T­a­4XWwTG¹@cd[CKU^_a[<iO?\TOFOF\J[vAOo©kA>SGFht¥§XbàlfohdLTœd<i\KMIdUe¢jMXp<i_aEx@WBDCTMg\K[IKc @WU
MmF_S<?UeUV[W>A]Q>SLT@j@WmiGQ[\NO?c*MgUVGJBªGJÜu©Ya]d«rM¦,<i<FG3\T>SÝW\N>AO?M#GTU^@[ZGTU^Y4IK[p¥ ­@WO?U^©,U^[Ž[CK\T_SCD<t>A\J[WO?vSž^[GQOoYZkAc*¢oBr s*M#) GQÊ >SkSIK\o\ŽvSX_SUŸ@h?_ZkbCNGoGQEHOF[ZY[nT+&\dw>AIK\T\T@££
M÷²tExhF<t_S\o@_ZOFkb[8GTXMU U^¢WXqmi¢WIK@WUe[d<iù§\J«H_SÅa@­lh?>¸ CDU^rMgs-GJ) ©*Ê º>A\T«rÅa@W­ÆMò U^]T@WGQOFU^Gp>ALNMOFGTO?U^G«,o­
noGTcdIK@<?U^[2žeUekSX4ht@WIK¢WvABT©"w!G¹MBDO?>A\NGTM#œ\JG¹OFO?GqU^[<?@>SOt@WGQ[OFË@ G$r s*¡Hh?) O?Ê Co_aX®<iYaG¹[‚EHO?ºU«HÅa<t­\o<i_ZkA\Nh?MžVGNUeOFkOF@jG1GQO?@WU^GTCN<tGQ[WO?M#UVG £
OF_SU^U^¢T©w<tœ[1[W>SU^>A\KLNIKMBKOFX4GQ@O?OFU^\J[vA©ŽOtG>AhF¡HXbh?fDOFh|CJ¥ X®YZÇ ¢¹º@W«HMÅa­8U^]Tmi@CD¢WIKh@WUe@$[1kZ>ABDLNcµMOF_SGQ<iO?\DU^I?[c@U^[M#>AhFGQXbc*fDhB
ft@jG‚GQM>AcqUe[W\J>AGJO?©9UVX4<?@OFU^[[>AnTM9\t_SwT@X4[Z@WYgBD<tžeU\K>AXbLNf?M\KIKOFOFGQO?[ZYgU^[¡HcÓh?O?kZCJBDXZ<?YZU.hº «r«HõoÅa­4­Æwo¥ CokALT>A[O?U^[,mi¢WI?@U^[
Ç
Ç
kAù >S«H@WÅa_a[­&kAmFG‚¸ØG8Mc8M/» <?Bô+U^r [<i>A\JM÷_aÊ kSº<ih?«H\Tž^Åa\Nž^­!UVMgX4Vï @GTBKO?r ©[›<?>SU^Ê \J[º >A@«HM9MÅa­4_aUVw ]Q@j]*@jGQU§O?IKU^[½>ShFIKnJ\ ]8<t,« o\K­ÆXb¥ f?\KIKOFkZ]dBDùc «HÅa­4Xs[ž^h
ù° ! «H\³Åa­&M90¸ _akA+§G‚M¹Â r U^s-[s*OF) ) UeÊ hغ«rÅaù­«HÅa1» ­Æò+ù§r s-«rs-Åa) ­Æ) ò2Ê ºiù! «H«HÅaÅa­6­u1» IK+\Þr «,s-o) ­ÆÊ wºi h?«HÅa<i­§\T­ï >A@Wr ]Ts-I?) CTÊ \Nº! M#«rÅaGQ­ÆO?¥ U^h÷U
hFcd<?\K>SIK\o@W_aUe@j[WX4že@WO?[U^[jO?­gU^hhF@<?BK>A@_aCN[WGT@qc*X@BpBD>AO?LNO?MU^cC OFGQr O?s-U^[) Ê OF«HGdMO?BDU^CT[\J@OtOFGQGNOFY]8kA[q¡Hh?\JO?<tCo[WX®>AYZGJ¢ªX®YZº[q«HÅa_S­ GQ£
º! «HÅa­!ïî«ÏÑQ¼3»›3Ñ +­ º «rÅa­!ïô« +  »›ÑQ¼ +¹ï½ú Õ ­®º«rÅa­Ÿ¸ Û ¿
mD¯«ÏIKBKnT\Q©9\KkbIKX]TO?@‚I"EHU^\T["OFODUe@2[ghd<iOF@\JGQ<?_a>AkS@U^[h?ht>AžVXM9GNGQkA_až^[UV@jvac1]ªc8wF<th"œW\K[2œWXbGTf?MåI?\KO?IK>S[LNOtnJM4] \9OFºMg GT«rGTO?Åa­6>SU^h¹hF<?O?>AOtCD@GdBjh"YZºcdOF«rG5ÅaU^[­#+c*O?­ÆBJU^¥N[*wTМW<iLN5[ \NMM+OtUeGQ¸ôOFO?O?U^¼ \[
mi¢WI?@U^[MBDnJž^]JI?GoEH\*kA[>bGQ@kAGTCs
º! «HÅa­§ïô«Hú Õ »¼  ­‘º«HÅa­Ÿ¸ Û ¿
ÍI?[Wh?vSœž^[‚Ug­l¼ kS\dÚ <t\Kú I?Õ _akA«ÏG‚X4M\¨UVGNcdYa]JG¨X cdU^[ZYa_AX4[1nJIKB›k4ExhFcqU^[OFUe[3O?U^[qYZ[W_akp@mDBok
ú7¸ 6 ú Õ »¼ Â
<FI?\D>S@WXbBofFCF\DErI?GT@IKU^h$c*Bõ \J_akAGNkA[WX@O?º! U^[u«HÅa­ŸIK¸ \¬>S»#LNú M OFºGT«rO?Åa­UVG?w&CokALT>A[pYZh?œ¨@OFGTc*B@
CoX@kABDLTž^>AU$[nTIK\8\Ó>S\J>S@LNMMUVOF]QGT@jGQO?O?UVGØU^[cåIK>SYZno[jGQ_ZP:k fFGT>Scd\TOFU^X@ODBKXbføOFUe[kÆEHh?cdUe\JOoBKXbf|w
º«HÅa­Ÿ¸îí_SUeO2«HúŸÅVï ô6­4¿
CNš GTGQO?c*[ZYlB¡Hh?YZh?O?œCJXZM9YZU|_S@ù§BK«r_aÅakS­ÆCD¥ U^[9[ž^[cd[OokZBq<t\TkS>A@[Wm?O?[,I?\2\TCD>A[WvSže[WO?U^G"_S@h?£
ù§«rÅa­l¸³Œí rDs7t Ê 982)Ÿ:« 6 ú Õ »¨¼  Å|­ï ô6­¿
k4'° Ex>ShF@@WBKcqBD_S<tU^C‚\TGT\JODžecqUVBKvSXbOFc*Cf U YZBôU c8>ABT\TwQ@WœWM[U^kA]TGT@WCoGQU^OF[Ue[¨IK>A>SnJLNGTMO?UVOtGªGQMO?UVBDG¬_akAI?]o>S<?noUVGQ]"PýnoIKfFB8GQ>A¼ cd\TO?ú UVX4Õ @WwDOoX4BK@WXbBof £
ž^I?U?>SnonoIKGQB*PM9M,_SEr<tGTLK_SODEHXBK@XbBDf|O?¥ ª O?U^C2k4ExhFcqU^[OFU^G"mi¢WI?@U^[9cdO?Ue[aYa_a@WB8\KIdÚ X4@W¢W_akS\ovSXU
Ë ¶ ظ » Ë Å
¶ Ô
àgGoEHCT\NM#GQOFUe[_ZkA>S\JOFGQcdU”s
¶ ¸Ø» Å ç
& É Ë ¶ ¸Ø» Ô & k Ê Ë Å ç
^
ž
O
¶Õ Ô
É~¨ ¶
ç ¶i«rÅa­&¸ô¶ Õ r s Ê ¿
°
¶ Õ >A¥ ¢WI?° CT>A\J@BpvA©1Å cpçGQž^ [ZYZ[@mF[CKžeU^_aœW<iGd\T_SOFUe¢2[OFGJXZ_aYaBDGQcdž^O?<KUe[kS\T<tkZBK\KX4X@@OFBDUeOF[ªGNIKYa]J\pX3@\K[W>AI³GF¥ M#GQ>SkS\JvAX4U
S
,.-ûú-û,
üAa M$;1M<HL4
KHL8MNEPO
:<B;
O$;CBTK 8M$HLEIÃMNEPO
6Pf~\
MÐ_akALNGoCJMErkAG?LTOF¥>AGTBD¯iO?cÓMU^[2BDIK@2Co>Až^nJ<?["GT>AYZ@O?[jBDU^IKG,CFOFEHO?GQGJU^C¨IK[9h3@WMGTõŽBKO?_Z\JU^kAC‚<?¢GQU^<?Ya_ShQ]hNYaYZM]3[qX4\TX@@W<iBKGT\T_a_S>AkZU^Bu[gB$UF>A>AhF[hFO?XbXbfD[Wf3>Sh³nJfFU^«HGTGªO?>S<|IKcd>A¥§\JnJkAO?GTGTU^P>AXX@YZUeOD[j[‚_ZBT­Æk ww
Co[OFkSLJ[>S>ABKnTU^XbUlf"IK<?>A>AnJ@GT[WP|@M¥ ÇBKX4U^¢[œW¡H[[CJO?XU^[6Ue[¹MGQBDcdcd<?GTž^nJU kAGhFMI?GBDCJIK\T>SOFnoGTGQO?P½U^G#O?<FU^[2>AGJYZX4[jB_ZkdCJ\J_Z_Skb@4GokAEr[G3c U
cpÐLNGQMž^[ZOFYZ["GTO?MîU^[T¡Hw6h?CoO?kSCJLJXZ>SYZ[1U!X4\T@j<FGTU^_S_Sh|hN¥YZ[1>ShtXbf¬fFGT>Scd\JO?U^X@ODB½k4Exh?cdU^\TODB3YZ[j_Zk
<i@WG‚\DMI?U^\T[m?>bO?G[I?\DIKIF\GN>AkSLNCJM\NMlOF\$GQO?X4UV@‚GÌEH\T«HOõD­Ž<?>AGQ\Tž^[<i\T>A>bLTX®œWYZO?\TUOtGQ_Sž^UeOo¢B1\KIKIÌ\¹O?<?U^[U^[nJ>A\›M9kZ_aBD@W[Zc¹Ywg<iœ\Q[ £
Xbf?\KIKO?[aYgMBKXbfDBDže[WO?UVG*ù
Ë Âù§«HÅa­ ï´ÑQ¼ Ë ù§«HÅa­ ï›ú Õ ù§«HÅa­l¸ ¿
« J­
Ë ÅÂ
ËÅ
Û
Õ
XnJ4²o@WI?kb¢WGoBo_aErmDkS]›BŽ\ovS¼ OFXU^Ue]›["OFGQmDIK@WBF>ABDnJExMg\8GTGTPkÆc*EHh?M,BcdErGTM9U^[_S_SO?OD<tBKUVG?LKXb¥EHf|Xw&@BDX4O?@WBDO?žeU^UCDUeX[W@c ¢j_ZkAk4\JExh?vAX4cdUV]›U^[CTO?\DUVG?EH\NwlM#@W]GJvdIKú >AnJGTPó
ö,X4@jž^GQG›O?UVMG¹BD<tnT\K\KXbIKf?B´\KIK@WGQOF<F[ZY"U^_ShÌM@<tnJ\ože¢j_bIKEHh?[œcBDc8X@WB´GJ_a_ah›U^[3<?I?>AGQ@Bž^[ZYd<i\TCTcd\JOD\KMlX4[WBOFCDX®Ya>S]¨\J<?\TCD@WUÏOFs GNù £
miIK>A¢Wh?IKnJ@W]8Ue[¨<i\T\D@WXbOFfFGT\DXI?@WOFGT]?©¥F<?¦,Ue[WGT>S_SM9@[ª_S@W>A]LNM<tOF\KGQXbO?f?U^\K[IK<?OF>S]´@WBD¡Hm?h?UeO?[WCo>AG*X®YZUªkS[Wù§>AGT«rÅa@ª­Æw9<t\o"G _Zkbù´!GT©QYZs [aY
ù§! «HÅa­§ï´ÑQ#¼ ù§ «HÅa­§ï›ú Õ ù§«HÅa­l¸ Û ¿
<kSiÍ >AGQ\D\KCXbXbfFf?>S\D¢Ž\JI?@IKOFM\o$] UVva]QMù§@W UV«rGJGTÅa©$­pI?XkS@W@\OF[WGTO?>AXLNU^G¹@MO?OFUŸU^[3GQU^OoOFCTkSUe\J[‚h?cqܨUVX®YZ<FÄ,U”žeÒ!U^miCDcd[WhNX\JYZO?[3œ\JOFkSvAG1\½©3@WX4@j>S@NGT[jExI?_a\J@GTOokAO?h³]1U^[TIK@¥ \T° <?CJ\T\TU^[kSOD>A>ABDM9@Mg[W_amF@jGJ]G©
<?²D>A<?LT>Am¹LTmFU!hN_SYZ<?c*>ABªG‚M9ž^\TI?nT@WUVGTX4@W©,O?X4U^@W[&B\T<F@WGTU^_ACTGT\J©&PFOFX4GT@j]*_S@_S[lUe[2<?>S_S@Wh?[CJMXUV[WIK_SBD[c1MgGT¥ O?UVGYaGQCªmi¢WIK@WUe[
@<icd\DEHU^\T[œO?[WUVO?GT©ªUVG1_SUe>S¢"LNMMåO?X4\N@jM#GTGQ_SnJUe[U6¡HIKh?>SOFnoCJGNX®YaYa]JGqX4[ùnJ«H\$Åa­#\J\Jm?<?U^[U^_SCohNkSYah|]J&¥ X]q%ªMIKBDBKmDXbBfoBDO?ž^[U^[ŽO?U^mD[ªBF\KExI\
kÆù§EH«rh?Åacd­&¸îU^[O?íUVGq_aU^kSO2\d«x>Aú \TÕ @Å!Mï­UV]Qô6@jGQ­ O?U^[lYZh?œ"@OFGTc*BŽ@ª<?>A@BDCFErGTIKh¹õFs
²D±j­*<i\KcdIKUe@cdU^[\M#GQ<tc8\TYaBG‚M_aU^Ue¢ª[WO?@WU^GQGkS[_ac1U^¢1w?X4œW@[TBDs O?OFUeCNG3k4ExhFcqUV]TX[nJ\¬«H<i\NMU^[WIK@Wc*B
IKXbf?žVG3[Wc.\J_akS<i>A[\T>AœWU^\DO?I?\JvABDX4XU @ODó BDO?c1U^[w!@cdmDBo\Tk*œWžeMU^MlU^[[Jž^w!CDœWUe[W[nT\o\u­"U^O?>ShFODXbBDfc¤IF\JGQCDž^[Z>SY"[j_amtU^[T¢jwIK@X4U^@[BDž^>AUlhK@ £
U^ÑTO?­&ODGQBocdc`<?úýž^U kAhF«H(ú I?G8¸³' IKú>SnoÕ GQ­4Ppw O?U^[mi¢WI?@U^[_akAGDEHGFwTmi¢WIK@WUe[,cdGTže[aYa]TXW]ª¡Hh?O?Co£
X®IKYa\d]u@X4[W@W>AGJGq_ah›noIKUgBŽ<?Å >bG‚
ç M9IK \T<i¥ \KIK\Tm?OFUe[pmi¢WIK@WUe[$I?]QœWBD©GT_SBocd<KkA\QkZBKX4@WO?U^[
E
;
<š2Š} =›’š0‚„º1™2€|yº~zD{~‚„ƒ’‰9‡¹†¾½¹zDŽ$ˆx{g’‚¾½{›G}P‚„ƒ$’¤wDˆ{g‰9wP¹zD€?‹
‡iz9‰o–?>A@-BDC
ŽG_aàlkS@\JXBDvA@X4O?¢WUvAOF©"ú´UeCq@*¸ í_SU^r Oos7htút _aÊ [WcÃ\T»¨<FU^M9¼ _ShN_SYZCN¥ [GQ@WcphNYZGQ[Tž^[ZwtYaœ]J[2X]ª>AhFMÌXbfdX4@WYZGJ[W_a_aU^k,[9\JGQCDcd>S[j<?_až^\NUekSMhFB IK¢,© IK\>SnoX4GQ@WP|¢4£ w
6 ÕÂ
Â
ε
öYZ,[W_až^Gk#U^<?ž^hF>S@W_ZBDkA>AC?GJErX®GTYZI?UJ\NMMBoB*OFUeMCDh|BDCDwWOF>S[jG_Ÿ<i¡Hh?\TO?OFU^CJœWX®_SYZ@UBDùcý«HÅa>S­ÆBKwK_SMh?BDO?CJCD\Th"OF<?GT>AOo@Bd[WIFIK_ZžVG2kbG‚OFMGJUe_Z\JkAOo¢4B £
'
<?íîhNYa¸ ]JX4± BKXbf1X4c1I?GQwKOD¼BK¸ Xbf$ž^¿UVюX4@±NmiÁN\N_WMwDBKú Xbk f|¸³s ßd>bGTIiÁN_WTw ô›¸ « Ö Ñ8>AGJI¥
T\ mDEHMg\TœW\KBKIK©"@U^U[>SÐ\J@#Mà,UV]Q¥ @WGJ©">ALNMOFGQO?U^[2\J<?U^_ShNYa]JX4[8I?>SnoGQO?UVGpMåkAGTCDUec
Û
Û
Ð9LNM OFGQO?U^[ªIKž^Gd<FUe[W>SM9_S@[WnT\*<F>S@WBo<tGTIKCDh ¥
Ô
M¯GQ<<?ExBDUV_aMg@W[[c8c`B_SóUxEHóBŽ@jGTM_ABDGT<FIKGJ¢6IKIKCTBD\NOFMgGT[ZcqY2U^dCDUTs \J<?U^_ShNYa]JX]#>AhFXbf"X4@W]J_ZkACDU <i\KI
Ô ù! «rÅa­Ÿ0¸ ظ J» IDù§«rÅa­P» ¶i«rÅa­!Qï Õ X\J_DúŸÅÆ¿
°
¸X@CTù \N«HMgÅa­,[U6Ot<iG*\$¡HhFhFO?<tCJ\JXZ>SYZ@j¢"]T<tIK\KCJEx\N\JMgœGT[OFO?U^UeGqh3ù§\TkS«rÅa>A­Æ@sBDc*h?£
YZ[W\$c*M9BŽ_Z>AkbLNG‚MMOFUe[WGTO?O?U^Uehu[>A¶LT«HœÅa­ªOFU^c
ù! «HÅa­!ï Ô ù§ «HÅa­§ï Ô I ù§«rÅa­&¸ Ô Õ ¿
Ð9LNMOFGQO?U^[ªIKž^GpI?>Sh?nJUe[WnT\8<?>S@WBD<FGTIKCDh ¥
\JÐ9I?CF@LNU^EHM[$GJIKOFMCNGQBDGTO?O?XbU^[ôfîU^CNGMCJ\TBj@¹OFYavAI?<?X4[>AU^OFG‚\NM#_AMlGNAG[³kA\Tgª\J>bG´<?U^>AU^Xb_SU2fFhNYaOti\ ]JhGNX4kSG´[î¢Wœ«r[W@W_SO?cdh?U^cpGÌU^GTGuOo<FBR_S>A<F]JGJErIKGTIKhfIKCTh?LN8bOFM=«rÅaCo­¹eh OFMµGTdK<?«HU^\TÅa¢WmD­½©ŽMlOtOt\TGG £
<i\J_S@WX@[WnTLTž^ODBKXbfq[Wže[Wcd[OokAGJXbf\TmDMg\KIKh"YZ[W_ak>SLNMOtG"<?>A@BFEx\Jœ\JO?[ZY
,.-ûú-Åú üAa M$;1M<HL4­:$BF1;G O$;CBPK8M<HLEI7MNETO acNhK \ _SU^že[ª[ž^[CokA>S\Jcq\TkS\J>SBKX4@WO?[ZYS­&U|cpGq<t\o_ZkbGT©
=?I8MNEPO
Ë8
d
R
Ð@cd\J@U^[<FO?GQUVkSGN>AYa@]Jc*X]›Bp_SIKUeM#[3G2_SUe<FOD>ShF@W_SBo\TCFUVI?ErGTGQIKž^O?BpU^[1IK>A@nJGTX4PŽ@¢jM_ZkABD\Jc*vAX4hFUV_S]@\JúODBD«HXb<Ffp>S@W<FBW>SYZ@Wcd[@ªU YZc*_aUHBEx¢ s
Ë Å ï48®ãï ¸jS Õ X4\o_DúŸÅÆ¿
¸ @WCTK\Nd «HMgÅa­l[U\J<?<tU^\K_SIKhN@WYa]JUe[WX4že[ª[WO?@U^cdh$U^<?[O?>A@O?[W\om@ vS©*R¬Er\QGTkAI?>Sh?@WO?BDCDc*h$hNYZOt[G £
<?CT\J>A\Tcd<i<?\Tže>b[X®kSYZO?\JU^OF[dGQ>Sž^O?LJœU^[8ODBKIKXb\1fuX4@a\oYa_DG‚úŸMÅaU^­Æ_SC¥§wiÄ,miCN¢WGQIFœW]$[q\J_SU^<?¢TUVw_SGTœ[qO?[dcdU^UeIKcd[WOo\1kZBDU^œdX@I?OD\QBDkZc BKX4@j«H]@ c8° \8BŽM9>ALN_ZMkbG‚OFMGQUeO?[WU^O?[ªU^kh >SLJ8Ɯ«HO?Åa­ŸUVX4l
<?h?OFCJkAh1MU^IK@W[O?UVGdcpGNkA[cpGNkZBDCDUV­l>ALNMOFGQOFUe[Wc=>SLJœO?UVX4@WCT\NMBDc1¥ \JCFEHGJIKCNGTXbfŽCJ\TOFIK[WOF_AGNkS\Jã >AG8M÷X@WGJ_aU^± [Tnw dK«rÅa­ S Õ
K!d «HÅa­§ï R Kd «HÅa­§ï R< dK«HÅa­Ÿ¸ R ¿
£ š GT_AG Ô <F>S@WBDX@[W<?Ue\JOFG=IK\ROFUe[WMgGTœCDUe[aY
MNMNONONMM ONONMM ONONMM ONONMM OOMM
Ð9LN>AMLTOFœOFGQU^O?XWUVGGgM›YZ[j\T_Zkm?hªM<?BF>AEr@]TBDX4<F@WGJO?IKU^[¬CNGTM Xbfª_Z_Skb]#GocpEHBDGNXbkAfø[cpM9GN_SkZ<tBKLKXEH@XO?@U^BD[6O?U^O?I?U^[CNOoGTkZXbBKf|X4wª@OFM [
cq_a_a<?CD\JU^>A[O?¢>AœWUV\NX4BDMg@OoOFGTB,[O?cd[Z«HYd@j\TGoœMê[&EHLTMœWIKc*BoLDCJE"B\Ts!>SODBKM=BD_SMgh?CDO?GJU^CD©[>AhtIKh?­Ž>SO?no<tCDGQ\¬hO?UVG#M\J_SfF<iUgGTExBoù!>a££ w
ó@WMU^]T@CDhÞ@kZBDcë>A\T@WMU^]T@WGQOFU^Gîmt¢jI?]÷kAGQCDU^[_AGQcd[Ø«H@ÌU^O?ODBDcqU
Ml<t\J[W>AcêXZYZ\T_aOFUHExGTBžeO?_S[a<?Y,>A¢IKœW\$BD_aMkS\oBDvSXbXfDUÏBDw-ž^&[O?H*UVGŽ¸`ù›»J\KIDIù!w<i<?\D>AEH\Q\Q££
M9¯GQ_S<i<?UVLD_aEr@WX4c*@BDBO?kSOF[UeCN>AGQLNcdMOFUx­ÆGT¥ O?U^GM´<i\J_akAGJX4UK\TnJLTž^O?[ZY4wNIKžVGª_a@Wh?CNGQO?[aY!¡Hh?OFCJ£
œ\J[vSOF>S\KU^G›IKCD>Ah¹LNMže[WO?<?\NCDM#UecÎGQnTU”OF¥ GQ͞^[[jœWvaBž^UhDIKM@W@Ue[anJYZže[¢jIK_aO?U^¢3UV©kAkA\½GQCoM £
XZÐ9YZLNU|Mù$OF¸ôGQO?ù§U^[ª«HÅa­4IK¥ >SnoGQP¹MBDc*hF_S@\JOoBKXbf s
œIK[l\9_S<?UHEx>A[Ÿ¢WIK\JCJ<t\J\JvA>SX4h Ux­Æ ¥ ÊÍ [W¸ØvSž^UT» IK\K¶8I?GN«r<?kACT>S\J\N<tMg\J\#>AMXZYZ<?\T>SOF\NGTM#žeOtGN] £
²
ùq! ï´ÑQ¼oùq ï½ú Õ ù$¸(p Õ X4\o_DúŸÅÆ¿
«­
IK@U^c*B2_SUxEH¢gMBoc8hF_S@WGNYa]JX]LK›¸0 Õ X4\J_KúŸÅ
kS»J\ôIDùp_SUxEr»PGM¶ªBoïQ<tGT IKÕ CJX4\N\oMg_DG´úŸÅbmt¥ ¢jIK@U^[_ahFcd]kZBKXbf÷kS>A@[jXbfý_SUxEZJw ¸ I?²DkA>SnoGoGQErG÷Pý¼Þcq[jYZXb[jfF_ZkGQOFM9U^X_S@<tODLKBKEHXbXft@­ÆBDwO?O?¼.U^CD¸Ue[Wc r kÆEHh?«rcdIKžVU^G³[O?IKUVG?>AnJÒ"GT¼ PýM.¸ \TÂmDq Ù Mg\KIK«ÏIK@žVU^G[
°cdBoGJkA_aGTB?O?Ü Ue[JsDYaGQC@WcdUe[WO?U^G1_SUe¢p<i\DEH\TœW[O?U^[qù§«HÅa­"<t\J>ShF_S@WGQYa]TX[ZY,_SUe¢ úuã Õ R<¸ "­Æ6 ¥#àlI ւ@WÔ ¢W_akSU\oúvS©Õ I?¸ >Sno6 GQP³± Ö M,R$Er8¥GT_SOoBKt Xbs fú Õ MBDO?\J_SU\KIK<i\NMUe[jIKO?U^\
Ð9\T@MUV]Q@jGQO?U^[ ¥
£ Ð\T@W<FGNkA>ShNYZ[Wc*B@WGTcqCDO?U^¢4kZB\TmDMgLKIÌ[ž^[CokS>ABKX4@ODB@‚EH\TœW\TODB¬@ ¦Ue[W@OFGTOFG¡Hh?O?CJXZYaG¹ù§«HÅa­&YZ[j_Zk2\KIK<i\NMUe[jIK@UV]$h?CFEHGJIKhuOFG¹MBDc*h?£
CT\T\T<iOt\TIK>AO?[UeOFCN_AGGNkA\\T>b\TGq<i\T\Ž>A<t@[8\TYZã:[cd\TO?>b\oGQvS@2XMU qwBDc*htX4[_aM@jGNCDYaU]TX\Ž[ZY9U^OF_SIKUxEHh?B1CoX4[Bjž^[YZO?CokS\J>AvA\TX4cdLU R9\Q£ w _S@[WO?U^[Tw?GqMUe¢jXgYZ[W_ak9že\JnTUVX4@WO?[TwKœW[2IK\T<FGJ_ahQYZ[ª_SU^[\JOFG1«H<i\ªYaGQCDU^cdv
kSú9\TNs >ASKBK«rX4Åa@W­&O?T¸ [ZY S S?Õ «HÅaX­9\J_D@cdúŸÅÆU^¥[O? UV["GNYa[]Jž^X4[[ZcdY[W_SOJU^¢8kZB_SUe<tOD\KhFEH_S]J\TX4UV@I?\JGQO?ž^O?[ªU^_S[2]d@8_SX@@[¢j>A[_ZkAnJ\J\NvAMlX4\tUV] ¥ XX@W@¢jGJ_Z_akAU^[j\J­§vAX4IKU\ú¨MYaBoGQc8CN]phF_SOF@GT[>SOF@WU^hFG,XUKGdmtM¢jIKBD@c8U^[#hF¡H_ah?@WO?[O?CoU^X®[TYawt]ªGpX4@j<tGT\J_SO?h*U^[\,M#kAGQGTœ#CoU^YZ[Z[WY_a_SkGT>Acd\T@[ZY£
MI?MUV]QUe@j[gGQ_ZO?kbU^Go[EHc¤[«r@W>SLNGQMž^[OtœWO?GQO?[&UV\KG3I*тMg£‘nTGT\3>Sh?_ZOFkACT\TLN<?M¨OFU^GF<tw|\KX4M@jUe]N¢jkAXpCT\N<iM\NMBKXbUeO?ftOt­Æ¥‚G1²D@W@G‚hFMC‚GQU^[YZc*>bGTB ©
UWV ’x¹†„‚+»0¼~‚„šXÇx¹»0¼~‚YXˆx¹{gwTGŠ0ˆ0‰?’.}m‰¤ˆ‹D¼X¿§}D‚¾ƒ*™Lƒ~š2Šîˆ‹D¼X¿Dƒ~… š2Š0ˆ‚¾¼X“ MU^¢WX>A\T@WMU^]T@WGQOFU^G*M÷<i\J_akAGJX4U
Šƒéx¹€mˆƒ~š0x›’‰9… ‡iz9‰9‘é}P‚„ƒéš0wyƒGÇ}P‚¾^wyxš2Š‹P†¾GŠ‹§x€?ˆƒgš0xœ’x¹»0¼~‚ZAÄ\[È ]
Z
Ä\[-^_<Èa`›}TG†¾ƒg‘›mÇx¹m‰‡xˆG¼~{~ƒL™A}TG{g’GŽˆ‹P¼¿Pƒg…Tbm‹TGš0‚ “Êx€mˆƒ~š0x›’‰D… C
ù«HÅa­&¸ôíX4\o_W«HúŸÅVï ô6­Æ¿
R
Fs
Ft
m
Fw
v
L
C
oCǦkSGJLJBD_a>SnT@WBK\KBDXbIKc÷fO?ù@jU^[ªGT«HÅaI?YZ­[WGT_a_SO?k8<iUe[W[‚<icEH\JO?_ÆYZU^EHGq[Wh?_a>Aœk§LNBK@M©pOtOFGQ_SGQž^Ue[¢pOF@UeMøU^[J[¥ OFkZUeBD[6c.kbGQCDXUV[Xbž^f*h›_ZkSkb[jGoXbEHf?BKO?Xbf2U^C‚]1í2òž^UVôgX4@wjm½<?>A@W@[4B £
_SÐ<t\J\J@Wže_S\J@Oo[BK>AXb@f|c8¥ BdMBD_akS¢W<?hNYa]JX4[Mî>ALNMOFGQO?U^hu« ² ­&¡Hh?O?CoX®YZ[ª>S@W[WX@BDMU £
_aGQkSmD[*BŽ@jmDGQBFž^[EHœWBŽO?\T[2O?\K["IX@X4¢W@jvAGTX4_SUVh3GQcdOFGU>AI?@@[jU^X4[W@IKBD@WMUeO?UV_Z¢*kZBD¡Hh?cdO?UCoO?X®YZ\NUM@BK[WXb_Sf<i\T¡Hž^hF\TO?ODCJBKXZXbYZf|U w?kbGQC
ù§«HÅa­l¸ôíX\J_W«xúŸÅ|­ï ô6­ çç w «HÅa­Ÿ¸îí rDx °zyDÊ {| ± ò
p Õ X4\J_KúŸÅ
p Õ rDx yDÊ ¿
ÐLNMOFGTO?U^[cpG8kS[W>AGT@ª<t\o_ZkbGT©
²
w
w
w
! ï´ÑQ¼ ï½ú ÕÂ (
¸ p Õ r x yoÊ ¿
« GJ­
¯O?i\KOFX4GQ@WYa[WIKvShNO?YaU^]J[½Xp>S>S\N\JM@MUV]QUV@j]QGQ@jO?GQU^O?[U^[ >ALNw M«rÅaOF­GTkSO?[WU^nTGý\3« >A² LN­3MIKOFžVGQGÌO?UVù!G¹w,h?m?@UeBK\J_S>ACN]JGQX¨c*ù§B«HÅa>S­LNM#¸ £
ÐÄ,[m?n ž^w U^X«H@Åa­0c8p”¥ BŽ<t\KXbf?\KIKOF[ w «rÅa­&U!M9_ZkbG‚Mc*BªYZ[2IK\p>ALNMOFGQOFU^GFs
w
¸î/
í 8”hú r x °}yoÊ {G| ± ò w ! ¸ »9íú&Â r x °zyDÊ {| ± w
í r x °zyDÊ {| ± «xú&Õ »ú&Â&ï¬~Ñ 8‘¼úl­Ÿ0¸ p Õ r x yDÊ ¥
ž^° [\3œOFh?\J<?vA©Q>A\Js _S@WX@[WO?Ueh½<F>S@W[@Ž<?>A@[W@ŽX4@WBop OFÕ O?Ue§C r x yoÊ h?@WBD_SCDhNYZ[c8B² @jGN£
« mt­
í rDx | ¸ ú Õ »uú  ï¬~Ñ 8‘¼ú ò
@"_S<tCo\JkSžeLJ\J>SO?[a[ZYlY!O?Œí U^[4r kA>ShF¥ I?é O?cq\d<F\Tžem?UekSž^hFU^XI?@¢lBKž^©ªU^XGQ@cdmDB<?ž^@U [WkAhF_S<iIK\T¢2ž^\TíåO?[aUY¡r\JGTm?@*¢ž^U^Xô@WG9ž^UV_SX4Ue@¢lmDcdBŽO?@W\Q[4££
œW]JX,kS¢"ž^U^X@mi¢"x | <?>S@W[@ªž^U^X@mi¢2_a<?>A@¢Wœ\JOF]?wKír x | ¥ íŒr s x | ¸ôí,ÂQw
íÂ,¸ y¨€ s yN€a¨ {  x t y ¥ y¨€ s y€ ¨ s  x t y ¸ °zy¨€ s yN€  €t¨ € {`© t €‚y€ ¥
²okb]TI
±
p Õ
í÷¸ 6 «xú Õ »uú  ­  ïõT¼²  ú  ¿
<?ƒ >AGT@@[j—¢ I?ôý_ZkbG‚\JMm?U^že©UVX4kA@WGTBDCc*s Bu>ALNMO?U^[œp@Ž>A[žVGTXZYZU,« mt­4w§CokSLJ>A]1MBDnJ\DI?O?Ue[aY
± r s x | ¸ ± «xú Õ »uú  ï¬Ñ~8‘¼úl­4¿
í
p Õ
kSkS \ØnGQ«ZcdCN» ]QnTô6kî[W­ŸOF»_#¸÷¡rô6GQÑN­¨@W¼Bú \Tm?ž^Ö U^ž^X«xU^ú&@XmD@W BGØ»@W_Sú&[WUe_S¢³ÂW<t­Æ\JmFwtžeUeX4\J\J@O?>ABD]J[Zž^Y"XUkS«HMå_a<n kSô¨\oOF_aGJhF¸ _aO?@W»[BDCýc`ÑN¼ó®ú<?c1>AÖ «@«xw BDú&­A<FÂÁNGJлuIK[oCDú&« h*w Âj­YZ­Æ[j¿ _Z¸ k
Õ
Õ
š_S@h?GTCNc*GQB8Ot]uYZh?¡Hœ8hF²O?_S@CJh?XZCNYZ¢ GTO?w [*«rÅaGQ­$cd¸¤<?ž^Ueí kShFr IK¢qí U§¡rw&GQG¨@WË¢ @WôgGNkAwt[@Wc OFGQU9ž^[>SÝW\JžeUV@vaMc8UVB$]Q@jMGQO?U^¢WU^X[
>ALNMOFGQO?UVG¹« ­4w?ù§«rÅa­&¸³Ð9[J« w ­Æs x °zyDÊ {| ±
ù§«HÅa­l¸ 6 «xú Õ »ú p խ  ï½õJ¼  ú  X4\J_!«xúŸÅ|ï­ô6­ò
nJIK@WUe[ kAn$ô½¸å» ú Õ ÑN¼|»ú ú  ¿
„