The stack quotient of a groupoid Anders Kock It is a well known

!"#%$
&'
(
)+*-,/.103254
6879;:<>=@?BACAD+EGFH=EJIKF5ELI%?BMG7N9OF5EPQ:R?B?TSVU%W8P3XY[Z\]Z_^`P37NaL<H77NaG?/:R7b<5IDdceRfhgKijFHk
MGlm9CELI%9CML<HA[fhgonGpGErq`AC?H:9s:t9CE/:RFvuw?x:R?BEr:R?h<yzpGFv7N9C?{E`7FHkfhgBZ
69CE+7N?BELqa]?BlN?7mFu|<HDz?
7maG9;:
9CE+7NF <uwF5lm?MGlN?}IK9;:~?j:~7<-7m?Buw?BE+7BP<-ELq€7mFMGlNFH‚z?x9C7
9CEƒ<yzpG9C7m?…„v?BEG?Blb<-AI%F5E+7N?BY+7
†FHk
?Hq`:m:R?}?B:NE+IK?B7N9sE+<-7AOAC?B‡MG7N9s:jar<-e87x<v:ŒF-kˆ9CEJ<SŽIBH<-W7mF5?Bl„5FvSސ-lNW‘‡wiZ =9O7Na|MGpGAOAV‰ŠnL<5IDG:@<-ELq|?HyzpG9CMGML?Hq=9C7Na<IKAs<5:m:Œ‹
’GF5l<-E“?HyzpG9C‚v<-AO?BELIK?lN?{A;<-7m9CFvEd9CE“<IB<-7m?B„5FvlN‡“”wP39C7 9;:p]EL<-unG9C„vpGF5pr:=aL<H7<
yzpGF57m9C?BE+7ŒFHk
9C7x:~aGF5p]A;qwnL?z•Œ6–k
— ˜5™ š f ™
`
˜
›
9s:<-Eœ?}ypG9O‚v<-AC?{ELIK?lN?BAs<-7N9OF5E“9CEž”wP
<"yp]F57N9O?BE+7k‘F5l9C7 9;:<Ÿu|<-M¡ ¢•f ™£ f¤ ›
uw?}q`9;<H7N9CE]„GP5k‘F5lx?B‚z?Blm‡F5n+¥N?HIK7¦JPL<#n]9§¥N?HIK7m9CFvE
¨©5ª `e~—«N¦"i­¯¬ ® ©H° eRf ¤ › «m¦1i«
=aG?{lN? ¨©5ª `eR—±«N¦1i9s:7NaG?h:R?B7
FHk¦>‰Š‚v<-AOpG?Hq1²bIKFz?HyzpL<-AO9C³B9OEG„ qG<-7b<5´±k‘Fvl—P`uw?}<-EG9OEG„
u|<HML:µ|•`f ™…£ ¦¶=9O7Naµ· ˜ ™ ­ µ· ˜`› Z
’GF5ljf g <„5lmF5pGMLF59sq>9OE”wP
šš f ˜ ™ š f i«
f g ­ eN¸{¸B¸ fj¹
› ˜› ™
<HELqwº<j»LnL?BlN?}q>I{<-7N?{„5F5lm‡€FH‚z?Bl¼”wP`=@?q`?H:mIKlN9On½?±<IB<H7N?B„vF5lN‡Te–„5lmF5pGMLFv9;q[PG9OE€kŠ<5IK7%iP
¨±©ª eRf g «Nºi
F-kQº€‰8‚v<HACpG?Hq"¾¿5ÀmÁBÂ+Ã5ÄÆÅVÇ{Å;È5É/ÊzÃ5Ë8Áe–Fvl Ê`ÀNÌ{¾KÀ%È`˼ÊzÃ5Ë8Ã-ibZÍ1?<HlN„vpG?7NaL<H7
<HELqaGFH=“7NaG?¼:R7<vIÎDcf g F-k@²NM]lN9CErIK9CML<HA½f g ‰ŠnGpGELq+AC?H:m´…MGA;<B‡]:t<xlNF5AO?F-kyzpGFv7N9C?{E`739CE<
IK?{lN7<H9CEÏ}‰Ðq`9Cuw?{EL:R9OF5EL<HA+:R?BEL:~?je‘?BY`Mr<-ELq`9OEG„x7NaG?@nL<5:~?xIB<-7m?B„5FvlN‡”Ñ9CE+7NFx7NaG?¼IB<-7m?B„5FvlN‡
FHk
:~7<5ID]:ÒFH‚z?Bl¼”wPG=aG9;Iaw9;:<Ï}‰ÐIB<H7N?B„vF5lN‡LiZÓzF=Œ?jAOFzF5Dwk‘F5lh<-E|?HyzpG9O‚5<HAC?BErIK?
¨©5ª eRf g «Nºi
Ô¯® ©H° e~cf g «NºiÕ
eNUHi
U
7maG?BlN?@=9CAOAzn½?¼:RpLIa<HE?HyzpG9C‚v<-AO?BELIK?PKMGlmF-‚+9;q+?HqºÖ9;:3<Ì%Ë8Ãz¾×HP59CE<j:R?{EL:R?@=Œ?:~aL<-AOA`lm?K‰
IB<HACAG9OEwÓz?HIK7m9CFvE…nL?BACFH=Z
،aG??HyzpG9O‚5<HAC?BErIK?Œ9s:tEGF57
9O7:R?{AVkL?BY+MGAO9;IK9O7BPHnGpG79s:t?BY+MGlN?H:m:R?Hq
9OE>7m?BlNuƒ:oF-kQ7~=ŒF?BY+MGAO9;IK9O7o?}ypG9O‚v<-AC?{ELIK?…k‘pGErIK7NFvl:je8IkmZe8Ï5ÏziŒnL?BAOFH=jiP
¨±©5ª e~f g «mºi £ fhÙµ ˜ e–ºimÚ5f gjÛ ® ©H° eRcf g «Nºi«
=aGF:R? yzpL<5:~9V‰Š9CE+‚z?Bl:~?H:Œ<HlN?EGF57xI%F5uwMGAO?B7N?{AC‡?{Y`MGAO9;IK9O7BPz:~9CELI%?j7NaG?{‡wq`?{M½?{ELqwF5EŸIaGF:Љ
9OEG„IKAC?}<}‚v<H„5?H:ŒFvlj:~F5ACp]7N9CFvEL:ŒF-koq`?H:NI%?BE`7@MGlNFvnGAC?{u|:KZ
،aG?j»Llb:R7?HyzpG9C‚v<HAC?BELI%?zP ¨©5ª e~f g «Nºi £ fhÙµ ˜ e‘ºiNÚvf g PG9;:q`?H<HAC7=9O7Naw9OEÜÓ?HIΉ
7m9CF5Er:Ï<-ELqJÝ`Zw،a+pL:%P<-As:RF]P<>lm?Kk‘F5lmu€p]A;<-7m9CFvEF-kx7maG?EGF57m9CF5E"F-khq+?H:NIK?{E`7q]<-7<|9;:
MGlmFH‚`9sq`?Hq[Z † ،aG?pGEG9O‚z?Bl:m<-A
I%Fz?Hypr<-AC9O³B9CE]„|qG<-7b<`P398ZŽ?Z½7maG?IKFz?HyzpL<-AO9C³B?{lj9C7b:R?BAÆkmPIB<-E
9OEd7N?Bg lmu|:…FHkj„vlNF5p]M½Fv9;qG:9OEœcf g nL?w„59O‚z?BEdI%F5uwMGAO?B7N?{AC‡|?BY+MGAC9sIK9C7mAC‡•j9C79s:68ACAOpL:R9O?zÞ_:
ß ª{à e~f g ibZ
á pGlk‘F5lmu€pGAs<-7m9CF5Er:tF-k»LnGl<H7N9OF5E7NaG?BFvlN‡zP+<HELq#FHk3q`?}:NIK?BE+7BP<-lN?k‘lN?{?F-kQIKAO?H<B‚5<H„5?H:%Z
،aG?/yp]?H:R7m9CF5EŸFHkxyzpGF57m9C?BE+7:xF-k„vlNFvpGMLF59;q]:u|<B‡|nL?€lm?BAC?B‚v<HE`7j7mF|7NaG?k‘FvlNupGA;<B‰
7m9CF5Er:…F-k¼9CE+7N?BE+7N9OF5EL<HAt7~‡+M½?7maG?BFvlN‡FHk@?zZŽ„]Z
SŽÝHW8P
S_âBW8PL=aGF<-M]MGlNFHY+9Cu|<H7N?7maG?EGFv7N9CFvE
FHk7~‡+M½?}:ЉŠ=9C7Na+‰~<HE`‰89OE`7m?BE+7N9CFvEL<-AƉ8?}ypL<HAC9O7R‡9CE|7m?BlNu|:FHk
„5lmF5pGMLF59sqG:KZ
6Œ=<HE`7x7NF7Nar<-EGD7NaG? ã9C7m7<H„-‰mäL?Kåw?{lj68EL:~7N9C7mpG7N?PG=aG?BlN? 7NaG? u|<-9OEwML<HlN7jFHk
7NaG?
MGlm?H:R?{E`7=@F5lND/=<5:xIB<HlNlN9O?Hq€FvpG7…9OEãŸ<}‡/Ï5ævæ`UvZ
ç èé#êQë-ìxêîí€ï ð"ñŸò
éó
ë{í€ïŸê
،aG9s:…:~?HIK7m9CF5E|9s:Œu|<-9OEGAC‡7NF»LY|EGF57b<-7m9CF5ET<-ELq|7N?Blmuw9CE]F5ACFv„5‡zZŒô
FvEL:R9sq`?Blh<»rnGl<H7N9CFvE
õIKFvEL•G:Rº 9sq`?B£ lFv”öEGAC‡weŠ:R»L?B?nGlb?<-ZŽ7m„G9CZQF5ErSސH:ÒW–ib=ZaG’r?{FvlNl?f÷<HACA[<H»LE1n]lNFv?Hn+:x¥N?H<-IKlm7j?9O„5E"lmF5”wpGP[MLFvº|9;qGø“:%Õ[q`7N?BaGEG9sFv:Ò7N?H9s:Œ:x=Œ7NaG?B?AOA»LD`n]E]lNF-?z=ZE|Í17mF?
nL?j?HyzpG9O‚5<HAC?BE+7
7NF7maG?<5:m:RpGu/MG7N9OF5EL:
7NaL<H7x<-ACAù<-lmlNFH=x:Œ9CEwºú<HlN?IB<HlN7m?H:R9s<-EZeŠû…?B‚z?Bl~‰
7maG?BAC?}:N:KPB=@?:~F5uw?B7m9Cuw?{:GpL:R?@7NaG?
=@F5lq|²IB<HlN7m?H:R9s<-EL´+Pz<5:3<Òlm?Buw9OELq`?BlF-kL7maG?
pGEG9C‚z?{l:N<HA
MGlmF5ML?Blm7R‡ZVi/üŒ‡Ï}‰ÐIB<-7m?B„5FvlN‡zP[=@?pGErq`?Bl:~7<HELqaG?Blm?<Ï}‰ÐIB<-7m?B„5FvlN‡Ÿ=aG?Blm?<HACA3Ï}‰ÐIK?BAOA;:
<HlN?x9CE+‚z?BlN7m9CnGAO?zÕ-?}ypG9O‚v<-AC?{E`7mAC‡zPv<IB<H7N?B„vF5lm‡€?BE]lN9;IaG?Hq9OE€7maG?hIB<-7m?B„5FvlN‡F-k3„5lmF5pGMLFv9;qG:%Z
Í"?IKFvEL:R9sq`?Blx7NaG?ÏB‰~I{<-7N?{„5F5lm‡FHko»rnGl<H7N9CFvEL:…FH‚z?Blh”wP[q+?BEGF57m?Hq1ýþŠÿ oZhãF5lNM]aG9;:~u|:
<HlN?wk‘pGELIK7mF5lb:#FH‚z?Bl” e–=aG9sIÎa“MGlm?H:R?{lN‚z?w7maG?MGlmF5ML?Blm7R‡JF-knL?B9OEG„d<"IB<HlN7N?}:R9;<HEž<-lR‰
lmF-=Õ7maG9;:9;:aG?Blm?<HpG7NFvu|<-7m9;I5P
n+‡¢FvpGl/<5:N:~pGuwMG7m9CFvE[iZ xELqœÏB‰~IK?{ACA;:<HlN?EL<-7mpGl<HA
7ml<-Er:Ðk‘F5lmu|<-7m9CFvEL:<-ACAQF-k=a]Fz:R?/IKFvuwMLF5EG?BE+7:h<-lN?‚z?Blm7N9;I{<-A@e–u|<HMGMG9CE]„w7NF<-E"9;q+?BE`‰
7m9C7~‡<-lmlNFH= n+‡ iZQ’GF5l7~=ŒF F5n+¥N?HIK7b:º<HELq 9CEý±þ8ÿ P]® ©-° e‘ºŸ« Ÿi@q`?BEGFv7N?H:
7NaG?
aGFvu€‰ÐIB<-7m?B„5FvlN‡Ÿõ eŠ<„5lNFvpGMLF59sq[P½9OEwkŠ<5IK7{PGn`‡wFvpGlh<5:N:~pGuwMG7m9CFvEL:ÎibZ
’GF5l<-E+‡¢
f ”wP7maG?/q`F5u|<H9CE1k‘p]ELIK7NFvl”€Úvf ”9;:<>»Ln]l<-7m9CFvEP
q`?BEGFv7N?Hq
e RfiÕ]:RpLIa€»Ln]l<-7m9CFvEL:oFvEG?IB<HACA;
: ÎÀ ÀNÌHÀ%È`ˊà KÄCÀbÕG7NaG?B£ ‡ar<}‚z?hq`9s:NIKlm?B7N?hIB<-7m?B„5FvlN9O?H:Œ<v:
»Ln]lN?H:%•e eRfiNi 9;:Œ7Na]?:~?B7F-ko<-lNlmFH=x:¼k‘lmF5
u 7mF>f Z
Ï
"Í ?:~aL<-AOAŒnL?|9CE+7N?Blm?H:R7m?Hq19OEduwF5lmMGaG9s:Ru|:j9CEžýþ8ÿ =a]Fz:R?q`Fvu|<-9OE“<-lm?|lN?BMGlm?K‰
:~?BE`7b<-nGAO?#»rnGl<H7N9CFvEL: eRfibP eibPt?B7bI5Z€Í"?/IKF5AOAC?HIK7±:RF5u/?€nL<v:R9sIk‘FvlNupGA;<v:KZwûxF57N?
7maL<-7x:~9CELIK?hEGFŸ²IKAO?H<B‚v<-„5?}´F5lŒFv7NaG?{lx<-lNn]9C7Nlb<-lm‡w7NaG9OEG„z:<HlN?ju/?BE`7m9CFvEG?Hq[P57maG?MGlN9OELIK9Ɖ
MGAO?|²N=aL<H7N?B‚z?Bl9s:Òu/?H<-EG9OEG„-k‘p]A8Pz9;:7NlmpG?H´9;:ŒAC9ODz?BAC‡7mF€nL?<-MGMGAO9;IB<HnGAC?Ze–Í"?lN?%k‘?BlŒ7mF
7maG?H:R? <v:N:R?{lN7N9OF5EL:x<5:²ü<v:R9sI687m?BuUvZ ‰Š\GZ ´`ZVi
U5ZäL?B7jßî• eRfi £ ºŸPL<HELq>AO?B7 ˜ • £ f ZŒØŒa]?I%F5uwMLFz:~9C7m?#߯· e ˜ ibP
ei e ˜ i š eRfi ß š º
9s:Œ„59C‚z?{EwF5EF5n+¥N?HIK7b: ª Je e imi Ñn`‡
eRß· e ˜ iNie ª i ­ ß/e ˜ · ª i
e8Ïzi
<HELq>FvE>u/F5lNM]aG9;:~u|:…e ª Õ i
9CE e i
n`‡
eRß· e ˜ iNibe ª Õ i ­ ßwe ˜ · ª Õ iÕ
e8Ýzi
9O79;:<-E<HlNlNFH= 9OE|ºFH‚z?Bl3Z
Ï`Z@û…?BY+7BPz=@?I%F5EL:~9;q`?Blx<Ï}‰ÐIK?BAOA
ß š
e~fi š ºŸ¸
ß
ÓzF"k‘F5l ˜ eRfi P7maG?ŸIKFvuwMLF5EG?{E`7 "! •jß/e ˜ i £ ß e ˜ i9;:<-EÑ<HlNlmF-= 9OEœºŸP
‚z?Blm7N9sIB<-AFH‚z?B#l TZj’GF5l<HE"<-lmlNFH=e ˜ Õ ª ix$• £ ˜ 9CE e~fi±e–=aG?Blm%? ­ ˜ · ª iPL7NaG?
EL<H7NpGlb<-AO9C7~‡|:NyzpL<HlN?9;:
ßwe ˜ · ª i ßwe ˜ Õ ª i š ß/e ˜ i
!&'
!
e–\+i
ß e ˜ ( · ª i ß e Õ ª iš ß ( e ˜ i
Ý`Z
Í"?E]?BY`7¼IKF5Er:R9;q+?Bl7NaG? IKFvuwMLFz:~9C7N9OF5E"˜ eK²m=aG9;:~Dz?BlN9OEG„z´zi
F-k
7maG?jk‘F5lmu
ß š
e
i
ei ˜ š eRfi % š º
ß
Ý
=aG?{lN? ˜ •) £ f 9OE“”wZ’rFvl<HE¢Fvn+¥N?HIK7 ª * eiP37NaG?ƒIKF5uwMLFvEG?BE+7FHkx7NaG?
=aG9s:RDz?Blm9CEG„ · e ˜ i@<H7 ª 9;:Œ„v9C‚z?BE|<v:¼k‘FvACAOF-=x:%•
e · e ˜ iNi ' ­ "!&' Õ
e8zi
9O79;:<<-ET<-lmlNFH= 9CE|ºŸPG‚z?{lN7N9sIB<-ALFH‚z?B#l +"Z
\GZ“äL?B7wß <HELqœß @n½?ƒ<5:9CEd9O7N?Bu Ï`Z"<-nLFH‚z?zZJ’rlmF5u 7NaG?|EL<H7NpGlb<-AO9C7~‡d:mypr<-lN?
?BY+aG9OnG9C7m?Hqw9CEde‘\`ibP½9O7…9s:Ò?H<v:R‡|7NFƒIKF5ELI%ACpLq`?7maL<-7j9Æk
7Na]?‚v<-AOpG?H:F-kxß 3<HlN?IB<-lm7N?H:~9;<-E
<HlNlNFH=x:%P[<HELqw9VkQ7R=@FÏ}‰ÐIK?BAOA;: <-Er-q ,€•Gß £ ß <-„5lm?B?F5E7NaG?F5n+¥N?}IK7U ø e–9sq`?BE+7N9C7~‡
u|<HMdF-k fiP
7NaG?{E¢7maG?B‡J<-„vlN?B??B‚z?BlN‡+=aG?Blm?zZŸ’GF5l{Pˆk‘lmF5u 7NaG?|EL<H7NpGlb<-AO9C7~‡d:mypr<-lN?}:
e‘\`iŒk‘Fvl <-EL.q ,|=9C7malN?}:RML?HIK7x7NFŸemU5Õ ˜ ix• ˜ £ U5P9C7k‘F5ACAOFH=x:Ò7maL<-7ß emU5Õ ˜ i· "! ­
ß eNUvÕ i+·/, ! PznGpG7@7~=ŒFML<-lb<-AOAC?BAL<HlNlmF-=x:
‚z?BlN7m9;IB<HAG<HlNlmF-=x:
=aG9;IaMLFz:~7IKFvuwMLFz:R?h=9C7Na
:~F5uw?˜ I{<-lN7m?H:R9s<-E<-lmlNFH= 7mF€„v9C‚z?j7maG? :N<-u/?zPG<HlN??HyzpL<-AŠZ
013254$687:9eK² ;
FvEG?HqG<€äL?Bu/u|<5´zi3،aG?Blm?j9;:@<-E|?BY+MGAC9sIK9C7tk‘p]ELIK7NFvl =ª < › e ­ ?B‚v<-ACpr<}‰
7m9CF5E<H7…7maG?F5n+¥N?HIK7hU ø 9OE e~fi ­ ”€Ú5fiP
=ª < › •z® ©H° e e~fi«Nºi £ º ø «
<HELq19C7h9;:<-Ed?}ypG9O‚v<-AC?{ELIK?zPLnGpG7 <yzpL<v:R9V‰Š9CE+‚z?Blb:R?9;:xEGF57 ?BY`M]AC9;I%9C7BÕù<>yzpL<v:R9V‰Š9CE+‚z?Blb:R?
<HuwF5pGE+7:j7mF“?¾ >]¿H¿-Ì{Å;È5É#k‘Fvl?H<vIÎaJ¦ º|øœ<HELqd?H<5IaJ® :• £ f <"e8IB<HlN7m?H:R9s<-E[i
<HlNlNFH=A® @Be i £ ¦¶FH‚z?Bl¼® ZŒÓF€9O7x<-uwFvpGE`7b:Œ7NF<Ÿ²NML<HlN7m9;<-AQIKAO?H<B‚5<H„5?H´FHkº £ ”wZ
Í"?1aL<B‚z?Ÿ7maG?Ük‘p]ACA?Bun½?}qGq`9CE]„ FHk7NaG?JIB<-7m?B„5FvlN‡Ñ” 9CE+7NF“7NaG?JÏ}‰ÐIB<H7N?B„vF5lN‡
ý±þ8ÿ oZJ687<5I%7NpL<HACAC‡"kŠ<5IK7mF5l:7maGlNFvpG„5až 7NaG?wk‘pGAOA:~pGnIB<-7m?B„5FvlN‡“F-kh‹‰Ð:R7b<5IDG: B oP7mF
nL?/q`?H:NI%lN9CnL?Hq9OEdÓz?HIK7m9CFvE">nL?BACFH=Z687j9s:…k‘pGACA
<HELqkŠ<-9C7ma`k‘pGAFvEd<v:=@?BACA@UΉÐIK?BAOA;:j<v:
FvE“Ï}‰ÐIK?BAOA;:e–‚+9C?B=9OEG„Ÿ”ú<5:<|ACF+IB<HACAC‡"q+9;:NI%lN?B7m?wÏB‰~IB<H7N?B„vF5lm‡zP9CEd7maG?/:R?BEL:~?w7Nar<-7<HACA
ÏB‰~IK?{ACA;:Q<-lN?9sq`?BE+7N9O7N9C?}:ÎiZÍ1?h:RFvuw?B7N9Ouw?{:[F5uw9O7t7maG?EL<-u/?ŒF-kù7NaG??{u€nL?HqGq+9CEG„ k‘lmF5u
7maG?€E]F57<H7N9OF5EZ|Í1?/:Rar<-ACA
EGFv7q`9s:NIKpr:N:I%Fz?Hypr<-AC9O³B?Blb:…9C5E B 9OE1„v?BEG?Blb<-A8PnGp]7F5E]AC‡
IKFz?}ypL<HAC9O³B?Bl:F-kx„vlNF5p]M½Fv9;qG:|f g 9OEž” CB Z168Ed7maG?w»Ll:~7<-MGM]lNFHY`9Ou|<-7m9CFvEPt7maG9;:
uw?}<-EL:
F-k@IKFvpGl:~? <€q`9s<-„vl<-u
f › ˜™ š f ™ D š º
e8zi
˜`›
=aG9sIÎa/IKFvuwu€p]7N?H:%P5<HELqw9;:op]EG9C‚z?Blb:N<HAte‘9CE|<:~pG9C7b<-nGAO?:R?{EL:R?5iQ9C-E B =9C7maw7NaG9s:oMGlmF5M`‰
?Blm7~‡zZ÷üŒpG7:R9OELIK?Ÿ7maG?BlN?J<-lm?dÏB‰~I%?BACAs:w<B‚5<H9CAs<-nGAO?Ÿn½?{7R=@?B?BEÑML<-lb<-AOAC?BA<HlNlmF-=x:|7NF“ºŸP
7~=ŒFH‰~q+9Cuw?BEr:R9CFvEL<-A+=9;:mq`F5u:m<B‡G:7Nar<-7Œ7maG?EGFv7N9CFvEd²N7maG?x7R=@F IKF5uwMLF:R9C7m?H:<HlN?ÀmÁBÂ`Ã5Ä ´
:~aGF5pGAsqnL?lN?{MGA;<vIK?Hq>n+‡“²N7maG?BlN? 9;:j<|Ì ½Àm¾{Å EÀmÊÏ}‰ÐIK?BAO:A FÑIKFvuwML<-lm9CEG„7maG?7~=@F|IKF5u‰
MLFz:~9C7m?H:N´+Z üŒp]7w=9;:mq`F5u <HA;:RFž:m<}‡]:w7NaL<H7:RML?HIK9Æ»IB<-7m9CFvEL:|:RaGFvpGA;qÑIKF5u/?7NFv„5?B7maG?Bl
\
=9O7Naw?HyzpL<H7N9CFvEL:o7mFnL?:m<-7m9;:лr?Hq[PG<HELqwaG?Blm?…9O7Œ9;:@<IKF+IK‡]IKAC?hIKFvELq`9C7m9CFvEwF5EGF…P+=aG9;Ia
9OE`‚zFvAC‚z?H:j7Na]?7Na]lN?B?|u|<HML:€f ¹ £ f › Z Ø F"u|<-Dz?nL?B7N7m?BllNFzF5u k‘Fvl€7maG?|ML<5:~7N9CE]„
„v?BF5uw?{7NlN‡9CE+‚zF5AO‚z?Hq[P5=@??BY`a]9CnG9O7Œ7Na]?±k‘FvlNDŸeŠi@9CE|7N?{lNu|:F-ko<€:mypL<HlN?
f › ˜™ š f ™
eRâvi
˜› F D
f (™ D š º(
،aG?BEž7NaG?|?HyzpL<H7N9CFvEL:7NF"nL?:N<-7m9;:8»L?Hqœ<HlN?<"IKF+IK‡]IKAC?|I%F5ELq`9O7N9OF5EP@<-ELqž<Üp]EG9C7
IKFvELq`9O7N9CFvEZ،aG?IKF+I%‡GIKAO?IKFvELq`9O7N9CFvE9s:…?BY+MGlN?H:m:R?Hq9OE7m?BlNu|:F-k¼IKFvuwupG7<H7N9C‚+9Æ7~‡€FHk
7maG? Ï}‰ÐIK?BACAs:o9OE<IKpGnL?zP
fh¹
H›
šf›
II
II
II
I ˜5I ™
IJ
H™ IJ
f › ˜™
šf™
H¹
e8^zi
˜›
˜›
f(›
D
˜`› š f ( ™
I
I
II
˜™ I IJ (
f
IID
I
IJ (
šº
D
™
،aG?7maGlN?B?kŠ<vIK?H:j<vqB¥<5I%?BE`7h7NF|7NaG?‚z?{lN7N?{YwA;<Hn½?{ACAC?}qº <-lN??}ypL<HA8P<HELq"<-lN?<HACA
»LAOAC?Hq=9O7Na7NaG? e–9OE`‚z?{lN7N9OnGAC?viÏB‰~IK?{ACAA FxP`<HELq€7maG?…7maGlN?{?…Fv7NaG?BlkŠ<vIK?H:KP+<vqB¥<5IK?{E`7
7NF 7NaG?
‚z?Blm7N?BYAs<-nL?BACAO?Hq€fh¹BP+<-lN?x:~7Nlm9;IK7mAC‡I%F5uwupG7<H7N9O‚5?zPH<HELq#?{Y`MGlm?H:N:37NaG?x7NaGlm?B?x:R9OuwMGAO9;IK9s<-A
9sq`?BE+7N9C7m9C?H:37NaL<H7F5nG7b<-9CEr:Œn½?{7R=@?B?BE7NaG?±IKF5uwMLF:R9C7m?ÒkŠ<vIK?jFvM½?{l<-7mF5lb:±fh¹ £ f ™ :Z j:@<
ML<v:R7m9CEG„ q`9s<-„5lb<-uŸPz9O7u|<-Dz?}:t:~?BEL:R?P½eFdn½?{9CEG„ <-EF5lm9C?BE+7N?}qÏ}‰ÐIK?BACAŠÕ57Na]?BlN?x<HlN?x9CEkŠ<5IK7

pGE]9;yzpG?…FvlN9O?BE`7b<-7m9CF5Er:oF5E/7NaG?x7NaGlm?B?:~9CuwMGAO9;IK9s<-Az9sq`?BE+7N9C7m9C?H:3u|<-D+9CEG„7maG9;:
IKpGnL?j9OE`7mF <
‚v<-AO9;qwML<v:R7N9OEG„/:NIaG?Buw?zPvEL<-uw?{AC‡ ˜5™ H ™ £ ˜5™ H › P ˜ › H ™ £ ˜5™ H ¹ PL<-ELq ˜ › H › £ ˜ › H ¹ iZ
،aG? IKF+IK‡]IKAO?IKF5Erq`9C7m9CF5E|Fv.E F :N<B‡]:Œ7NaL<H7…7maG?ML<5:~7N9OEG„wq+9;<-„vl<HuI%F5uwupG7N?{:KZ
،aG?Blm?Ÿ9;:w<HA;:~F“<dpGEG9C7ƒIKF5ELq+9C7N9OF5E•"9C7/:N<B‡]:ƒ7maL<-7/ML<5:~7N9CE]„¢7maG?"Ï}‰ÐIK?BAO#A F=9C7Na
K •+f ™x£ f › ‡`9O?BA;qG:@<-E9;q`?BE+7N9O7~‡Ï}‰ÐIK?BACAŠP
F1· K ­ MU L
¸
6–kº 9s:j?Hyp]9CMGML?HqŸ=9C7mad<IKAC?H<B‚v<-„v?zP3:RFŸ7maL<-7 F5EG?aL<5:jk‘pGELIK7mF5lb: ˜ ™@ •[º|3ø N £
º|øAOw?B7bI5ZCP7Na]?"IKpGnG9sIŸIKF+IK‡]IKAC?TIKF5ELq+9C7N9OF5E¯IB<-E nL?"lN?BErq`?BlN?}qœ9CE 7Na]?1pL:~pL<-Ajk‘FvlNu
H ¹@ e F،iaG· ?H IK™@ F5e AOFÒAC?Hi IK­7m9CFvH E>›@ e FHFÒk¼i:RpLk‘F5IlxaŸq+qG?H<H:N7IK<#?{E`k‘7xFvlNqGuú<H7<<+Z „5lNFvpGMLF59sq ¨±©ª eRf g «NºiPL=aGFz:~?<-lNlmFH=x:
<HlN?"Ï}‰ÐIK?BAOA;P: D £ DQjIKFvuwML<H7N9Cn]AC?|=9C7ma 7NaGR? FxÞ_:KZÍ"?Ÿu|<B‡d7NaG9OEGDœFHk9O7w<v:><HE
<HAC7N?{lNEL<H7N9C‚z?|=¼<}‡“FHk q`?H:mIKlN9OMG7N9OF5EœFHk7Na]?ŸIB<H7N?B„vF5lN‡“FHkq+?H:NIK?{E`7qG<H7<Ük‘Fvl|q`?H:mIK?BE+7
<HACF5E]„ ª P`9Æk ˜5™ « ˜ › aL<HMGML?BE7mF€nL?7Na]?Dz?{lNEG?BAML<-9OlF-k@:~F5uw?hu|<-M ª ZÆi
S Tò
Ví U ì¼í WYX[Z%é \-=ë ]jëHGï ^ _éóé óí ^ò
Ví ZG`dí€8ë _Ÿê
Í"?IKF5EL:~9;q`?{l<>»LnGl<H7N9OF5E õ •oº £ ”wÕ@=Œ?|<v:N:Rp]uw?|7NaL<H7w<HACA<HlNlmF-=x:9CE“º <-lN?
IB<HlN7m?H:R9s<-EPL:~F€7maL<-7x7NaG?j»Ln]lN?H:º ø e k‘F5laf "”€i@<-lN? „5lmF5pGMLF59sqG:KZ@Í1? <-As:RF|<v:N:~pGuw?
7maL<-7” aL<5:|MGpGAOAV‰ŠnL<5IDG:%Z ،a]?BE 9O7€k‘F5AOACFH=x:w7NaL<H7|º aL<v:wMGpGACAƉ8nr<5IDG:%P…<HELq 7NaL<H7
õIKFvuwMGlmu?H:RpG?{7lN<H‚z7N?H9C:‚v?7NaG:N?ByzuTpL<HZlN?X9C‚zEŸ?BEdº u/9;:…F5lNu|?P <HMGõ ML?HÎcÀqbj7NÀmF¾KË;Ì<wMGMGpGpGAOAOAVAV‰Š‰ŠnLnL<5<5IIDGD|:%Pn`‡ 9CEd7mP[aG7N?a]?B:R?BE1Er9O:R7j?w9;7m:xaL9C<-77:~?B9ÆAVkhko<<
õ
MGp]ACAV‰ŠnL<vIÎDZ
÷„5lNFvpGMLF59sq¡Fvn+¥N?HIK7j9OEd”uƒ<}‡|nL?w„v9C‚z?BEŸ9OE17m?BlNu|:xF-kx9C7b:jEG?BlN‚z?wf g ÕQ<>uwFvlN?
?HI%F5EGFvuw9;Iw=<B‡žF-k „59O‚`9OEG„17maG?"qG<H7<dF-k<d„5lmF5pGMLF59sq Fvn+¥N?HIK7|f 9;:7Na]?k‘F5ACAOFH=9CEG„
:~7<-ErqG<-lbq>F5E]?z•o9O7xIKF5Er:R9;:~7:ŒFHkxË %Â+ÈG¾Ã5ËRÀmʁÌ{eÅ dfLÄÆÅ;¾BÅ;Ã5ÄQÊzÃ5Ë8Ã5P
šš f ›hg K š f
fh¹
e izi
™
FHk…kŠ<vIK?|u|<-ML::m<-7m9;:Ðk‘‡+9CE]„Ÿ7NaG?:R9OuwMGAO9;IK9s<-A9sq`?BE+7N9C7m9C?H:%PIÎkmjZ …MGML?BELq+9CYPtk‘lNF5u =aG?BlN?
7maG?EGFv7<H7N9CFvE19s:Ò7b<-Dz?BEùP½MGAOpL:x<€u|<-M K •[f ™£ f › P:~MGAC9O7N7N9OEG„7Na]?7R=@F#kŠ<vIK?uƒ<-ML:
f › £ f ™ e K ²NM]9;IDG:ŒFvpG7…9sq`?BE+7N9O7R‡<HlNlmF-=x:m´ibZ
’GF5l@:RprIÎa7NlmpGELIB<H7N?HqqG<H7<7NFnL?j<„5lNFvpGMLF59sq[P`7maG?7NaGlm?B?hIKF5uwupG7b<-7N9O‚5?
:mypr<-lN?}:
7maL<-73lN?BM]lN?H:~?BE`737Na]?Œ7Na]lN?B?@:R9OuwMGAO9;IK9s<-AH9;q`?{E`7m9C7N9O?H:[<HuwF5E]„ÒkŠ<vIK?Œu|<HML:
e8:R?{? …MGML?BErq`9CYLi
:~aGF5pGAsq>nL?MGpGAOAV‰ŠnL<5IDG:%ÕL<-As:RFGPG=9O7Na7NaG?uw9sqGq`AC?xF-kˆ7NaG?7Na]lN?B?jkŠ<5I%?uƒ<-ML:fj¹ £ f ›
<v:IKFvuwMLFz:R9O7N9OF5EP7Na]9;:IKF5u/M½F:R9O7N9CFvEd:~aGF5p]A;qŸn½?ƒ<5:N:~F+IK9;<H7N9O‚z?w<HELq1aL<B‚z? K <5:pGEG9C7{Z

6–k
7maG?H:R?I%F5ELq`9O7N9OF5EL:j<HlN?:N<-7m9;:8»L?Hq[P[9O7:€²mEG?Blm‚z?H´ƒfhgju|<B‡|nL?k‘F5lNu/?Hq[Zx687j9;:x<#k‘pGAOAV‰
k ?}q`„5?Hq :~9CuwM]AC9;I%9C<HAŒFvn+¥N?HIK7BP@F-k =aG9;Iaœ7maG?Ÿ„59O‚z?BE q]<-7<"7NaG?BE 9s:€<ѲN7NlmpGELIB<H7N9OF5EL´+Z
،aG?IB<-7m?B„5FvlN‡wFHk@:Ruƒ<-ACA„5lmF5pGMLF59sqG:jnL?HIKF5u/?H:Œ<k‘pGACA3:~pGnIB<-7m?B„5FvlN‡|F-kˆ7NaG?IB<-7m?B„5FvlN‡
FHk
:~9CuwMGAO9;IK9O<HAGF5n+¥N?HI%7:KZ † Í 9C7maw7NaG? :~7<-7m?Hqw<v:N:Rp]uwMG7N9OF5EL:ŒFvE õ •vº £ ”wP`=Œ?h7NaG?BE
aL<B‚z?
º d"à Å;ÈvÉˊ¿Ã…É m¿z{ A|
lm68nAopnAqsret8runAvxwxyQÀËG¦ KÀ@Ë %Â+ÈG¾Ã5ËRÀmÊÌ{eÅ dfLÄ Å;¾BÅ;Ã5ÄLÊzÃ5ˊÃÅ;Èz
¿zÅ;Ê#f Å;Èw-” }%~>LÀ%Ȁ¦ ÅVÌ ÃÉ m¿z{ ]¿zÅ;€Ê }
lm68n*n‚?9w،aG?<v:N:RF+I%9;<-7m9C‚+9C7~‡ŸI%F5ELq`9O7N9OF5Ek‘F5l7maG?IKF5u/M½F:R9O7N9CFvEŸu|<-M H › •L¦¹ £
¦ › 9;:x?BY`M]lN?H:m:R?Hq<5:<-EŸ?HyzpL<HAC9C7~‡wnL?B7~=@?B?BE7~=@FwML<-lb<-AOAC?BA3u|<-Mr:#ƒ › «ƒ+¹•G¦%„ £ ¦ ›
e‘=aG?BlN?/¦ „ ­ ¦ › …j† N ¦ › …j† N ¦ › iZ"û…FH=:~9CELIK?¦gu|<-ML:j7mF"<>„5lmF5pGMLFv9;q fhgBP
=aG?{lN?7maG?<v:N:~F+IK9;<H7N9C‚+9C7~‡IKFvELq`9C7m9CFvEŸaGF5AsqG:KP<-ELqŸ:~9CELI%? õ MGlm?H:R?{lN‚z?H:MGpGAOAV‰ŠnL<5IDG:%PG9C7
k‘FvACACFH=x:…7maL<-7 õ eƒ › i ­ õ eƒ ¹ iZÓz9OELIK? 7NaG?Blm?Kk‘F5lm?%ƒ › <-Erq‡ƒ ¹ <-lm?ML<-lb<-AOAC?BA3u|<-MFH‚z?Bl
7maG?j:m<-uw?uƒ<-MP59O7@:R€p ˆƒIK?H:7NF:R?B?x7Nar<-7
7NaG?{‡n½?}IKF5uw??}ypL<HAL=aG?BEM½F:R7~‰~IKFvuwMLFz:~?Hq
=9O7NaJ:RF5u/?|e8IB<HlN7N?}:R9;<HE[ixu|<-MùZ€üŒp]7IKAC?}<-lNAO‡>k‘Fvl9OEL:R7b<-ELI%? ˜5™ •[¦ › £ ¦ ™ =9OACA
q+F
7maG9;:¥NFvnZ
ÓzF 7NFI%F5EL:~7NlNprIK7@<„5lmF5pGMLFv9;qw9CEº F5p]7ŒF-kQI%Fz?Hypr<-AC9O³B9CE]„q]<-7%< D•`f ºŸ$P FxP
<v:t9CE|e~â5iPv9C7
:~€p ˆ|I%?H: 7mFIKFvEL:R7mlNpLIK7Q7NlNp]ELIB<-7m?HqqG<H7<j¦¹BP5¦ › P5¦ ™ Pz=9C7ma7maG™…?£ lN?BAO?B‚v<-E+7
:~9CYuƒ<-ML:t9OE€nL?B7~=@?B?BEZ3،aG9s:ˆ9s:
IKF5uwM]AC?B7m?BAC‡j?{Y`MGAO9;IK9O7NAO‡q`F5E]?zP+<-ELq?BY+aG9CnG9O7N?Hq9OE7NaG?
q`9s<-„vl<-uúeNU{æi
nL?BAOF-=eŠ<5:kŠ<-lx<5:
7NaG?x»L‚z?ÒkŠ<vIK?ju|<HML:
<-lm?IKF5ErIK?BlNE]?Hq½iZQûj<-u/?BAC‡zPH=Œ?
7b<-Dz?¦ ™ • ­ D emUB€ø NBibP ¦ › • ­ D e ˜ ™ iP¦¹• ­ D e ª ™ iÕ7maG?B‡"<-lm?€7maG?F5n+¥N?}IK7:jF-k¼7NaG?
pGM]M½?{ljlNFH=9CEJeNUBæziZ،aG?»r‚z?±kŠ<vIK?u|<HML:…<HlN?<-A;:~F|MGlN?H:~?BE+7…9OE7Na]?q`9s<-„5lb<-uŸZxÍ1?
pL:~?EGFv7<H7N9CFvEÜk‘FvlÒkŠ<vIK?u|<HML:…<v:…9CE7NaG‰? …MGML?BELq+9CYP[<HELqŸq`?HIKFvl<H7N?7maG?kŠ<vIK?uƒ<-ML:
9OE17maG?€¦ g p]ELq`?BlIKF5EL:~7NlmpLIK7N9OF5E"n`‹‡ HMŠ Œ P ˜ŽŠ  P3?B7I5ZwÍ"?MGpG7 ˜ Š ™ • ­ D emUB€ø NHÕ ˜ ™ ibP<HELq
˜`e Š › •« ­ H i@D • eNªU{€ø NvÕ ˜`› it· 9CE F › e~ f O ZjiÍ1Pv<-?ELMGq p]:R7 9Cu/H Š ™9CA;<H• ­l½k‘FvD lte 7m˜ aG™ ?
Õ HF5™ 7Nia]PQ?Bl…e–EG²bFv:R7N?B?u/7N9;arIK<-Fv7ACF5n`Er‡´o?B˜ Y+™ MG· lN?}H :N™ :R9O­ F5ELª:™iPZ
Óz˜ 9Ouw™ 9CAs™ <-lmAC‡zPG™=@£ ?MG˜ pG™ 7 H Š › • ­ ™ De ˜ ™ Õ H › ibÕùk‘Fvl H Š ¹KP=Œ?E]?B?Hq"<-„z<H9CE"7NF|9CE+‚zF5AO‚z?%Fx• H Š ¹• ­
D e ˜ ™ Õ H ¹Îiv· F:‘’N{Õ+’t9CEL<HACAO‡zP-7maG?xIKFvEL:R7mlNpLIK7m9CFvE€9s:IKF5u/MGAC?B7m?Hqjn`‡ MGpG7m7N9CE]„ K Š •5¦ ™…£ ¦ ›
?HyzpL<HAt7m-F D e ˜ ™ Õ K ihe–EGFv7N?7Nar<-7:~9CELIK? ˜ ™ · K ­ UvPte ˜ ™ Õ K i@9;:x<€uwFvlNMGa]9;:Ruî9CE eRf ™ i
k‘lmF5u U@7NF ˜ ™ iZQ،aG?lN?H<vq`?Bl=9OACAz»LELq:~F5uw?@F-k7maG9;:3qG<H7<j?BY+aG9CnG9O7N?Hq9CE7maG?q`9s<-„vl<-u
â
D eª™i
:F ‘eN
Fj‘•O D e ( ª › i
F:‘e–
( D e ( ª ¹i
e7maG?UFvE.F¢lm?Kk‘?Blb:Œ7NFUBø—O ibZ
D e ˜ ™ Õ H ™ i š D e i D eNU{ø€N5Õ i DemUBø€NHi
˜™š
D e ˜ ™ Õ H “3› i ” ˜ ™
“”
“
“
D “ e ˜ ™ Õ H ¹Îi F › “ “ D eNU ø€N Õ i
“
“
˜›
(
D
e
i
D e ˜ › Õ H ™“ i š” ˜`›
““ D “ e Õ i
“
˜`› H ›
emUBæzi
ØFjMGlNFH‚z?@7NaG?x:~9CuwMGAO9;IK9O<HA59;q+?BE`7m9C7m9C?H:<HuwF5EG„x7Na]?%Š PfŠ <-Erq 9s: ?H<v:R9O?Blt7maG?Œk‘?B=@?Bl
FxÞ_:j<HlN?9CE+‚zF5AO‚z?Hq[PL98Z ?zZ½7maG?:Ruƒ<-ACAO?Blx7NaG?9OELq`9;I%?H:jþ<-H"ErŒ qP˜Ž˜Ÿ<HlN?zZK Š ،aG?€u/?B7NaGF+q9s:…9CE
H< E`‡|I{<5:R?h7NaG? :N<Huw?zP+:RF=Œ?±<-lN?FvEGAC‡„5Fv9CEG„7NFMGlm?H:R?{E`7@F5EG?F-kQ7Na]?BuŸPz7NaG?|²m=ŒF5lb:R7b´
FvEG?zP † 7NaG?F5E]AC‡wFvEG?9CE+‚zF5AC‚+9CE]„7Na]?I%F+IK‡GI%AC?IKFvELq`9O7N9CFvEP
Š › ‰· H Š › ­ ˜`Š › · H Š ¹B«
`
˜
<v:Ò=@?BACAù<5:7NaG?9;q+?BE`7m9C7~‡9CE+‚zF5AO‚`9OEG„7NaG?pGE]9C7xIKFvELq`9C7m9CFvEP
Š › · K Š ­ U5¸
˜
ÓzF=Œ?±IB<-AsIKpGA;<H7N?
Š › · H Š › ­ D eNU5Õ ˜`› i™· F › Q· De ˜ ™ Õ H › i ­ DemU5Õ ˜`› iQ· De ˜`› Õ H › i· F:‘O
`
˜
e‘pL:R9OEG„EL<-7mpGl<HAC9O7R‡/F-khF“=9C7NalN?H:~ML?HIK7Œ7mFemU5Õ H › i
• H › £ UBøAOi
­ DemU5Õ ª ¹Ki™· F:‘O«
pL:~9CEG„wk‘pGErIK7NFvl<-AO9C7~‡|F-
k D÷F5E"7NaG?/IKFvuwMLFz:R9O7N?/eNU5Õ ˜`› i3· e ˜`› Õ H › i ­ eNU5« ª ¹iZ á E"7NaG?
Fv7NaG?Blar<-ELq[P
˜`Š › · ­ H Š D¹ ­ eNUvÕ D emU5iÕ f· ˜`D› ie · F Õ › ¹ f· iD ™· e F ˜ ‘e™ – Õ H· ¹ÎF i‘e™· N «F ! N
n+‡1Er<-7Np]l<-AO9C7~‡dFHmk F=ZŽlBZ 7NF“emU5Õ ˜ H › ¹iw• H ¹ ˜ £› H U{—ø O%ZdüŒ‡Ÿk‘pGELI%7NF5lb<-AO9C7~‡1FHk D P
7NaG9s:9;:
D eNUvÕ ª ¹Ki·jš· F:‘e–· Fj‘’N{PL<-ELqn+‡w7Na]?IKF+IK‡]IKAO?I%F5ELq`9O7N9OF5EPG7maG9;:?HyzpL<-Asf: DemU5Õ ª ¹Ki3· Fj‘•O
<v:Œq`?H:~9Clm?Hq[Z † ØFM]lNFH‚z?…7maG?jpGE]9C7@IKF5Erq`9C7m9CF5EùP• ˜ Š ™ · K Š ­ U…9;:
7Nlm9C‚+9;<-ALn+‡k‘pGELIK7mF5lb<-AC9O7~‡
FH›k D Õ ˜`Š › · K Š pL:~?H:Œ7Na]?p]EG9C7xIKFvELq`9O7N9CFvEwk‘F5
l F…P`Er<-uw?BAO‡ Fjœ ­ UvZ
^

Tò
íVU ^ò
íVZG`dí€ë8_Ÿêîóí ì¼íWYX[Zéž\Hë=]±ëHïG^ _éóé
Í"?@IKF5EL:~9;q`?{l<„5lmF5pGMLF59sq¦ g 9CE ºŸPHu|<-MGM]9CEG„n+‡ õ 7mF…7maG?»LY`?}q„5lmF5pGMLFv9;q€f g 9CE ”wP
<HELq#M]lNF+IK?B?}q7NFIKFvEL:R7mlNpLI%7ŒI%Fz?Hypr<-AC9O³B9CE]„jqG<H7<eD •rf ™ £ ºT«FÒiFvpG7
F-k7Na]9;:qG<H7<+Z
،aG9s:9;:tEGFv7@<I%F5uwMGAO?B7N?{AC‡j?BY+MGAO9;IK9O7IKFvEL:R7mlNpLI%7N9CFvEÕzF5EG?xMG9O?HIK?ŒFHk9OE`k‘F5lmu|<-7m9CF5E9s:tEGFv7
IKFvuwMGAO?B7N?BAO‡?BY`M]AC9;I%9C7BPvEL<-uw?{AC‡<k‘p]ELIK7NFvlje‘ML<-lm7N9;<HAIKAO?H<B‚v<-„5?v›i D• eRf ™ i £ º =9C7Na
D eNUHi ­ ¦ ™ eNUxq`?BEGFv7N9OEG„7NaG?@9;q`?BE+7N9O7~‡uƒ<-MFHk3f ™ iZ3Í1?x<v:N:~pGuw?:~pLIa‰< D ?¾ >]¿-ÌHÀ%È+Z
eŠ’rFvlŒ9OEL:R7b<-ELIK?P`9Vk3º 9s:o?HyzpG9CM]M½?}q€=9C7ma|<IKAC?}<}‚v<H„5?zPz7Na]?BE|=Œ?xu|<B‡k‘F5l#Ÿ@•$ £ f ™
9OEw”7<-Dzm? D e ŸiQ7NFnL?x7NaG?±IKAC?H<B‚v<-„v?K‰ÐIÎaGF:R?BE/IB<HlN7N?}:R9;<HEw<HlNlmF- = Ÿ @ ¦ ™x£ ¦ ™ F-‚z?{l Ÿ%ZÆi
üŒ?B9OEG„<…k‘pGELI%7NF5lQF-‚z?{l
”wP5=Œ?xaL<B‚z?ok‘Fvl
?H<5Ia Ÿ€• £ f ™ 9CE”<j„59O‚z?BE|e8IB<HlN7m?H:R9s<-E[i
<HlNlNFH= µe Ÿi@€• D e Ÿi £ ¦ ™ FH‚z?Bl@9C7BZ
Í"?jaL<B‚z?j7NFM]lNFH‚`9sq`?j7maG?jEL<H7NpGlb<-A7Nlb<-EL:8k‘F5lmu|<-7m9CF5GE Fœ3• D¢· e ˜ ™ i £ D“· e ˜`› i
nL?B7~=Œ?{?BE€7maG?j9OELq`9;I{<-7N?}q#k‘pGELIK7mF5lb: eRf › i £ ºŸZeŠØŒaG?:R9OuwMGAO9;IK9s<-A+F5ML?Bl<H7NFvl:F5EŸf g
IKFvEL:R9s:R7jFHk@u|<-ML: ˜ Œ P H  P[<HELq =ª ¡ P[<v:jn½?%k‘F5lN?Õ[7NaG?:R9OuwMGAC9sIK9;<HA[FvM½?{l<-7mF5lb:±FvEŸ¦ g <-lN?
q`?{EGF57m?Hq|:R9Cu/9CA;<HlNAO‡zP5nGpG7=9O7NaT<7N9CAsq`?z[• ˜ Š Œ PG?B7I5ZÆi
ÓzF/IKF5Er:R9;q+?Blx<-EŸFvn+¥N?HIK7 H $• £ f › 9CE eRf › iPG7maG?B.E Fj‘:RaGFvpGA;q|n½?<#‚z?{lN7N9sIB<-A
<HlNlNFH= 9OE|º FH‚z?B#l TP
F:‘€• D e ˜ ™ · H i £ D e ˜`› · H iÕ
q`?{EGF57m9CEG„ ˜5™ · H n`G‡ Ÿ£¢…<HELq ˜ › · H n+-‡ Ÿ£¤NPG=@?j7NaG?{EI%F5EL:~7NlNprIKQ7 F ‘ n+‡€7maG?jk‘F5ACAOFH=9CEG„
lm?HIK9CML?z•ô
FvEL:R9sq`?Bl3µ[e Ÿ£¢}i
$• D e Ÿ£¢Ki £ ¦ ™ ՝7maG?BEpL:R?7maL<-7 ˜5Š ™ 9;:IB<HlN7m?H:R9s<-EP+:RF7maL<-7
=Œ?
u|<B‡/IKF5Er:R9;q+?Bl7NaG? IKFvuwML<HlN9;:~F5E<-lmlNFH¦= ¥“€• D e Ÿ£¢Bi ¦ FH‚z?Bl PG<-lm9;:~9CEG„k‘F5lmu 7NaG?
kŠ<vIK7NFvlN9C³}<-7N9OF5EŸ£¢ ­ ˜5™ · H Õ+:~9Cuw9OA;<-lmAC‡zPHI%F5EL:~9;q`?Blùµ[eŸ£¤~£ iŒ•$D › eŸ£¤~i £ H ¦ ™ •37NaG?BEpL:~?7NaL<H7
Š 9s:tI{<-lN7m?H:R9s<-EPv:RFh7NaL<H7=Œ?
u|<B‡IKFvEL:R9sq`?Bl37NaG?@IKFvuwML<HlN9;:~F5E<-lNlmFH¨= §J€• D e Ÿ£¤Ri ¦
FH˜ ‚z› ?Bl H <-lm9;:R9OEG„jk‘lNFvu 7maG?ÒkŠ<vIK7NFvlN9O³H<-7m9CF5GE Ÿ£¤ ­ ˜ › · H ZoÓz9OELIK?nLF57mGa ¥1<HELVq §ŸAC9O‚z?£ FH‚z?Bl›
¦ › PG=Œ?u|<B‡pL:R? 7NaL<Hf7 §J9;:IB<HlN7N?}:R9;<HEPG7NF„5?{7x<
HpGPLE]9;<-yzELpGq|?jaL‚z<B?B‚zlm?7N9;I{IK<-F5Au/I%uwF5uwF5E|ML<HI%lNF+9s:Rq`F5F5Ewu|k‘<Hlm9CF5E|©
u ¥17mVF §@PG<HELq>7maG9;:Œ9s:Œ7NFnL?FvpG
l F:‘PL:RF
§|· Fj‘ ­ ¥o¸
emU5UHi
i
’GF5l7maG? IKF5E+‚z?BEG9O?BELIK?xF-kˆ7NaG?lN?}<5q`?Bl{P`=@?lm?HIKFvlqw7NaG?lm?HIK9CML?j9OE<€q`9s<-„vl<-uT•
D e Ÿ ¢ i ª
I Iª ª ª
I¥ I ª ª ª µ[e ª Ÿ ¢ i
I J ª ªŠ ª ª
Fj‘
¦ › ˜ Š ™ ¬ «­ š ¦ ™
emUBÏzi
“ ” ¬ ¬ ˜`› ¬
“
¬
§
““ “ ¬ ¬ ¬ ¬ ¬ µ[e Ÿ ¤ i
D e ( Ÿ ¤ i ¬ ¬
،aG?pGE]9C7IKFvELq`9O7N9CFv®E Fd· e i ­ Uk‘FvACAOF-=x:xn`‡TIKF5E+7N?Bu/MGA;<H7N9CE]„€7maG9;:jq+9;<-„vl<HuŸP
=9O7Na H ­ K PG7NaG?BE|7maG?ACF5E]„w:~AC F5M]K 9CEG„/<-lmlNFH=x:Ò=9OACAnL?U † N ÕL:R¯F ¥ ­ K Š <-EL[q § ­ K Š n+‡
pGE]9;yzpG?BEG?H:m:oFHk@IB<-lm7N?H:~9;<HEƒkŠ<vIK7NFvlN9O³H<-7m9CF5EùPG<-Erq:R¯F FÜ· e K i
9s:Œ7NaG?j9sq`?BE+7N9O7R‡ÏB‰~I%?BACAFHk
U † NHZ
ØF¢M]lNFH‚z?7maG?ŸIKF+I%‡GIKAO?ŸIKFvELq`9O7N9CFvEe–9OEœ7Na]? ²IKpGnL?H´1k‘FvlNuŸPjeŠ^imiP=Œ?ŸEG?{?Hq¢7mF
IB<HA;IKp]A;<-7m?j7Na]?=a]9;:RDz?{lN9CE]„z: FÜ· e H"Œ ik‘F5lxþ ­ æ`«BUv«Ï`Z
Í"?I%A;<-9Ou 7maL<-7{P`k‘F5lx7NaG?{9ClI%F5uwMLF5E]?BE`7b:<-7x7NaG?Fvn+¥N?HIK7jU{€ø –e;k‘F5lnGlm9C?Kkˆq`?BEGFv7N?Hq
UHiP
=Œ?waL<B‚z?zPk‘F5lIK?{lN7<H9CE“I{<-EGFvEG9;IB<HAŒ‚z?Blm7N9sIB<-A@<-lmlNFH=x: à ™ « à › <HELq à ¹7NFŸnL?|„59O‚z?BE
nL?BAOF-=P
e F1· e H ™ imi › ­ à › · à ¤ ›
emUBÝzi
™
e F1· e H › imi › ­ à ¹t· à ¤ ›
emUK\+i
™
¤
e F1· e H ¹bimi › ­ à ¹t· à ›
emUBzi
›
Óz9OELIK?EL<-7mpGl<HA7Nlb<-EL:8k‘F5lNuƒ<-7N9OF5EL:9CEd7maG9;:IB<v:R?<-lm?|q`?B7m?BlNu/9CEG?Hq|n`‡"7Na]?B9Cl IKFvuwMLF-‰
EG?{E`7¼<-7Œ7maG?j9sq`?BE+7N9C7~‡ F-k37Na]?q`F5uƒ<-9CEùP7maG?H:~?j?HyzpL<-7m9CF5Er:o=9CAOAL?H:R7b<-nGAO9;:Ra/7NaG?I%F+IK‡GI%AC?
IKFvELq`9O7N9CFvEwk‘F5Ql F…P
e F‡° e H ¹iNi·he F.° e H ™ iNi ­ F.° e H › i«
e‘=aG?BlN?=@?pL:~?H‡q °l<H7NaG?Blh7NaL<HE¢·7NFƒq`?BEGFv7N?aGFvlN9C³{F5E+7<-AˆIKF5uwMLF:R9C7m9CFvEde–=a]9;:RDz?{lR‰
9OEG„`ibZj،aG?7maGlN?B?IB<-AsIKpGAs<-7N9OF5EL:MGlmF+IK?B?Hq|9CEŸ7Na]?:N<Huw?=¼<B‡zP[:~Fw=Œ?:RaL<HACA3„59O‚z?F5E]AC‡
7maG?jF5E]?…k‘F5lemUK\`ibZÍ1?hpL:R?7Na]?IB<-lm7N?H:~9;<HEwMGlNFvML?BlN7~‡F-[k ˜ Š ™ 7NFAC9Æk‘7
7NaG?…kŠ<vIK7NFvlN9O³H<-7m9CF5E
˜ ™ · H › ­ ª ™ 7NF<kŠ<5I%7NF5lm9C³H<H7N9OF5E|F-kùµ[e ª ™ i
FH‚z?BRl ˜ Š ™ PL:m<B‡
µ[e ª ™ i ­ ˜ Š ™ ™· ¥
«
emUBzi
U{æ
=9O7Na õ e¥i ­ H › P<-ELq:R9Cu/9CA;<HlNAO‡zP57Na]?kŠ<5I%7NF5lm9C³H<H7N9OF5E ˜ › · H › ­ ª ¹ AC9Æk‘7:Œ7NF/<kŠ<5IK7mF5lR‰
9O³H<-7m9CF5E|FHkµe ª ¹ i
FH‚z?Bl ˜ Š ›
µ[e ª ¹ i ­ ˜ Š › ·h§Œ¸
emU-âvi
=9O7Na õ ±e §
i ­ H › )Z …A;:~FGP+n`‡w7maG? q`?K»LE]9C7N9OF5E|F-k²F:‘OP
§>™· F:‘O ­ ¥
emUB^zi
=9O7NGa F:‘O‚z?Blm7N9;I{<-A8P5k‘Fvl7NaGm? ¥J<-EL[q §1FHkemUBi@<HELq1emU-âviZäL?B7 à Œ q`?BEGFv7N?7Na]?p]EG9;yzpG?
‚z?Blm7N9sIB<-AIKFvuwML<-lm9;:~F5E|¦¹ £ De ª Œ i
=9C7ma
µ[e ª Œ i· à Œ ­ ªŠ Œ
emUsizi
،aG?{E>=@?aL<B‚z?
¥>· à ™ ­ H Š › ¸
eŠÏ5æzi
،aG?}:R?<HlN?jML<Hl<HACAC?{A<-lmlNFH=x:ŒFH‚z?BlŒ7maG?:m<-uw?h<-lmlNFH= 9CEƒ”wPG:RF9O7:~€p ˆ|I%?H:o7mFMGlNFH‚z?
7maL<-77maG?B‡"n½?}IKF5uw?/?Hypr<-AŒn+‡"M½F:R7~‰~IKFvuwMLFz:~9C7N9OF5EžH=› 9C7Na¡:RF5u/?Ÿe8IB<HlN7m?H:R9s<-E[i <HlNlNFH=Õ
aG?{lN?zP ˜5Š ™ =9CAOAq`F7NaG?@¥NFvnP[:~9CELI%?zP`n+‡ŸeNU{i ˜5Š ™ ™· ¥· à ™ ­ µ[e ª ™ i· à ™ ­ ªŠ ™ ­ ˜5Š ™ · H Š › Z
Í"? IB<-E|EGFH= MGlmFH‚z?
Fj‘•O· à ™ ­ à ¹B¸
Óz9OELIK? n½Fv7NaJ:R9sq`?H:…FHkŒ7maG9;:x?Hypr<-7N9OF5E"<HlN?‚z?Blm7N9;I{<-A8PG9O7j:~€p ˆƒIK?H:…7mFwMGlNFH‚z? 7NaL<H7MLF:R7R‰
IKFvuwMLFz:~9CEG„7maG?Bu=9C7ma:~F5uw?xeŠIB<-lm7N?H:~9;<-Ei<HlNlNFH=d„v9C‚z?@:N<Huw?
lN?H:~pGAC7{Õ-=@?@:RaL<HACA+pG7N9OAC9C³{?
µe ª ¹KiP]:RF=Œ?9CE+7N?BErqƒ7mFMGlNFH‚z?
µe ª ¹Ki· Fj‘•O· à ™ ­ µe ª ¹Ki· à ¹B¸
Í"?I{<-A;I%pGA;<H7N?
µ[e ª ¹Ki· F:‘O· à ™ ­ ˜`Š › ›· §|™· F:‘•O· à ™ n+‡ŸeNUHâ5i
­ ˜`Š › ™· ¥· à ™ n+‡eNUB^zi
­ ˜`Š › · H Š › n+‡Ÿe8Ïvæi
­ ªŠ ¹ ­ µ[e ª ¹Ki· à ¹B¸
،aG9s:t»LEG9;:~aG?H:7Na]?…MGlmFzF-k3FHk
eNU%\`ibZ
’rFvl
7NaG?hIKF5E+‚z?BEG9O?BELIK?@F-kù7NaG?xlN?H<vq`?Bl{P=@?xIKF5u/MG9CAO?
7maG?qG<H7<F-kQ7Na]?M]lNFzF-kQF-k¼eNU%\`i
9OE`7mF<q`9s<-„5lb<-uŸZ
ûxF57N?h7NaL<H77NaG?:~9Cuw9OA;<Hl
q`9;<H„5lb<-u|:
k‘FvleNU{ݝi
<HELqwUBzi=9OACA+ACFzF5D:R9Ouw9CAs<-lBPHnGpG7Q7NaL<H7o7maGQ? ¥Ÿ<-Eržq §|=9CAOALq`?BE]F57N?x:~F5uw?{7NaG9OEG„
q`´9 ³?BlN?BE+7je‘=aG?Blm?H<5:7NaG? à Œ Þ :ŒlN?Bu|<H9CE7NaG? :m<-uw?5ibZ
UvU
De ª ™ i ª
I Iª ª ª
I¥ I ª ª ª [µ e ª ª ™ i
“
IJ ª ª ª ª
¦¹
F:‘O
¦ › ˜ ™ ¬ ­« š ¦ ™
II
“ ” ¬ ¬˜ › ¬
“
§“ ¬ ¬ ¬
Ià ¹ I
I J ( “¬ “¬ ¬ ¬ ¬ µ[e ª ¹Îi
De ª ¹Îi
“”
“
à
“ ™“
"Í ?EGFH=œMGlmF-‚z?@7NaL<H77Na]?7R=@FjMGlmF+IK?H:N:~?H:e–FHkÓz?HI%7N9CFvEÏ<-Erq#7maG?xIKpGlmlN?BE+7tMr<-lN7
FHk
7maG?MGlN?H:~?BE+7jÓz?HIK7m9CF5Ei
<-lm?9OE`‚z?Blb:R?xF-k
?}<5IawF57maG?BlBPGp]M7NFI{<-EGFvEG9;IB<HA9;:~F5uwFvlNMGaG9s:RuŸZ
6–k =Œ?J:R7b<-lN7|=9O7Na¯IKFz?HyzpL<-AO9C³B9OEG„“qG<H7< eD
«FiP D • e~f ™ i £ º 9CE ML<HlN7m9;IKpGAs<-l
9s:€<1Mr<-lN7m9;<HAIKAC?}<}‚v<H„5?FHk º =9C7Na IKF+q`Fvu|<-9OE ¦ ™ e8:~µF D emU-i ­ ¦ ™ PUŸq`?{EGF57m9CEG„
U{€ø NBiÕ+7NaG?„5lmF5pGMLFv9;q|IKF5Er:R7NlmpLIK7m?Hqw„59C‚z?}:ˆlm9;:~?j7NF]PGM½F:N:~9CnGAO‡€EG?{=PGIKFz?HyzpL<HAC9C³{9CEG„qG<-7b<
e Dfs« FpÆiP
=aGFz:~?ŸIKFvEL:R7mlNpLI%7N9CFvE :~7<-lm7:F5pG7=9C7mažIÎaGFzF:R9OEG„d<ŸML<HlN7N9s<-AhIKAC?}<}‚v<H„5? D
=9O7Na D emU-i ­ ¦ ™ ­ D emU-i·Z ¶…?BELI%?7Na]?BlN?|9;:/<1pGEG9sypG?|9s:RF5u/F5lNM]aG9;:~u nL?B7~=@?B?BE
7maG?BuŸP3<-Erq¡7maG?|IKFvuwML<H7N9Cn]9CAC9O7~‡>=9O7Na5Fuw?H<HEL:<-Ež<5:m:R?Blm7N9CFvE“F-kh?Hypr<-AC9O7~‡F-kh7~=ŒF
EL<H7NpGlb<-A
7Nlb<-EL:8k‘F5lmu|<-7m9CF5Er:±=9O7Na"q`Fvu|<-9OE e~f › iZ’GlNF5u ü<5:~9;I687N?Buú\GP9C7±:R€p ˆƒIK?H:
7mFw:~?B?<-„vlN?B?{uw?BE+7ŒF5E"U{—ø OBPG=a]9;Iaw9;:Œ?H<v:R‡zZ
ô
F5E+‚z?Blb:R?BAO‡zP9Vk=@?waL<B‚z?/<>„5lmF5pGMLFv9;q¢¦ g 9OEdº FH‚z?Blf g 9CE“”wPQ<-ELq"MGlNF+q`prIK?
IKFz?}ypL<HAC9O³B9CEG„qG<H7<+Pon+‡":RFvuw?wML<HlN7N9s<-A¼IKAC?H<B‚v<-„vP? D Pe‘=9C7N¸a DemU-i ­ ¦ ™ ij7Na]?BEd=Œ?
aL<B‚z?7Na]?‚z?{lN7N9sIB<-AùIKF5u/ML<-lm9;:RFvEL: à ™ •z¦ › £ De ˜ ™ i<HELq à ¹…•z¦¹ £ De ª ¹ÎiÕL<HELq>n+‡
7maG?@IKF5EL:~7NlmpLIK7N9OF5EPB7maG?H:~?ŒI%F5uwML<HlN9s:RF5Er:<-lN?
9Ouwuw?{q`9;<H7N?BAO‡ŒI%F5uwML<H7N9OnGAC?=9O7Naj7maG?kŠ<5IK?
u|<HML:KPz?BY]IK?BM]7MLFz:N:~9CnGAO‡=9C7maw7NaG?xA;<v:R7
F5E]?H.: ˜`Š › <HEL‡q H Š ¹%P=a]Fz:R?±q`?K»LEG9O7N9OF5E9CE+‚zF5AC‚z?}q
FxPzIÎkmZz7NaG?xq+9;:RM]A;<B‡9CE|emUBæibZ
üŒpG7@IKF5E+7N?{uwMGA;<H7N?@7NaG?hIKF5Er:R7NlmpLIK7m9CF5EF-¹k F › 9CE7N?Blmu|:tFHk
7maG?„5lNFvpGMLF59sq[P[IkmZ[eNU{ϝib•o9OE>7maL<-7xq+9;<-„vl<HuŸP`7maG? IKF5uwMr<-lN9s:RFv-E ¥"9;:¥NpL:~7…7maG?9CE+‚z?Bl:~?
FHk7Na]?jIKFvuwML<HlN9;:~F5E à ™ P+<HELžq §":~9Cuw9OA;<HlNAC‡xk‘F5l à › P+7NaG?xpGEG9syp]?xIKF5uwMr<-lN9s:RFvE#k‘Fvl ˜`Š › P+:~F
F › · à ™ ­ à › Pz<-Erq7NaG?BE 7NaG?xq+?H:R9OlN?Hq IKF5uwMr<-7N9OnG9CAO9C7~‡9;:QIKAC?H<HlBZ3’GF5l7maG?I%F5uwML<H7N9OnG9CAO9C7~‡
FHk
7NaG? H Þ :KPGF5E]?IB<-EpG7N9OAC9C³{?j7NaL<H7j=Œ? <HlN?q+?H<-AO9CEG„=9C7ma„5lmF5pGMLFv9;qG:jFH‚z?Bl7Na]?:N<Huw?
„vlNF5p]M½Fv9;qŸf g PL<-ErqƒM]lNFH‚z?7NaG? q`?H:~9Clm?Hq€?HyzpL<-AO9C7~‡n`‡wMLF:R7R‰ÐIKFvuwMLFz:R9O7N9OF5E=9O7Na:RFvuw?
:~pG9C7b<-nGAO?€eŠIB<-lm7N?H:~9;<HE[i@<-lmlNFH= ¦ › £ ¦ ™ e‘7<HDzº? ˜`Š › ibZ
ÓzpGu/uw9CEG„p]MP=Œ?7Na+pL:…ar<}‚z?FvpGllN?Kk‘FvlNupGA;<H7N9OF5EFHk¼IKFz?HyzpL<-AO9C³B9OEG„|qG<H7<Ÿe8<HELq
aG?{ELIK?jFHk@q`?H:mIK?BE+7qG<H7<ib•
U{Ï
» ¼½13nA6Ž132 w ¾ù¿ÃzÈ$¿ÉN¿zÂs]¿zÅ;ʏfhg/Å;Èw”¶ÃzÈ]Ê>ÃzȂ¿EhsmÃ5Ë8Å;¿zÈRÀÅCËe>wÉÁN¿zÂsG¿zÅ;Ê-ÌÃ-Ì
Eh=ÎÀNÌxº £ V” Â@Ëe>LÀÀÃLÄÆÅ;¾{ÅCËÄ{Â`ÈG¾%Ë8¿ Ê`ÀNÌ{¾s%ÅeKÀmÊwÅ;ÈPÅÀm¾KˊÅ;¿zÈ-Æ
¨©5ª e~f g «Nºi £ hf Ùµ ˜ e‘ºiNÚvf g
ÅVÌ ÃzÈ1ÀmÁ{Â`ÅeÇBÃ5ÄOÀ%ÈG¾KÀs}
6–kf g 9;:x<w:Ru|<HACA„vlNF5p]M½Fv9;q“e–9sq`?BE+7N9V»r?Hq€=9C7maŸ9C7b:ÒEG?{lN‚z?zPG=aG9sIÎa9;:x<w:R9OuwMGAO9;IK9s<-A
:~?B7KibP
<ÜMGlm9CELI%9CML<HA…f g n]pGELq`AO?w9;:<Ÿ:~9CuwMGAO9;IK9s<-A
:~?B7FH‚z?BljµÑ•Œf g P È g £ f g :~pLIÎa
7maL<-7hU-i
<HACAL7Na]?:NyzpL<-lm?H:KP+?BY+MGlN?H:m:R9OEG„7NaL<H7µwI%F5uwupG7N?}: =9O7Naw7maG?ÒkŠ<vIK?K‰QF5ML?Blb<-7NFvl:%P
<HlN?"MGpGACAƉ8nr<5IDG:%P…<HELq ÏzPi È g 9s:€7Na]?œe‘EG?BlN‚z?F-k%i|<HE ?}ypG9O‚v<-AC?{ELIK?lm?BA;<H7N9OF5EPx=9C7Na
IKFz?}ypL<HAC9O³B?BlÈ ™1£ Èx¤ › Px:N<B‡zPIB<HACAO?Hq¢7maG?Ÿ<HpG„5uw?{E`7b<-7N9OF5EZ Í"?Ÿ:m<}‡ž7NaL<H-7 È g 9;:
<wMGlm9CELIK9OML<-Af g ‰ŠnGpGELq`AO?Ÿ¿zÈ-Èx¤ › Z/،aG?/IB<-7m?B„5FvlN‡ŸF-kxM]lN9CErIK9CML<HAŒf g ‰8n]pGELq`AO?H:KP3=9C7Na
<HpG„5uw?{E`7b<-7N9OF55E È g £ Èx¤ › <5:ML<-lm7FHk7Na]?|qG<-7b<`Pk‘F5lNu <ƒ»rn½?{lN?Hq"IB<-7m?B„5FvlN‡"FH‚z?Bl
”wP õ •ce~f g i £ ”wPt=aG?Blm? õ e È g £ ȅ¤ › i ­ Èx¤ › [Z …ACAˆ<-lNlmFH=x:9CE“ceRf g i±<-lN?
IB<HlN7m?H:R9s<-E"e–?HyzpG9O‚5<HAC?BE+7NAO‡zP57maG?j»LnGlN?}:<-lN?e‘A;<-lm„5?5i
„vlNFvpGMLF59;q]:KZVi/e86879s:<5IK7mpL<-AOAC‡?B‚z?BE
<1Ì%ˊÃz¾Î×w9OE“7NaG?:R?{EL:R?|F-kÓz?HIK7m9CF5E¡`PŒMGlmFH‚`9sq`?Hq17maL<-77NaG?:~7NlNprIK7NpGlb<-Au|<HML:€e;kŠ<5IK?
FvM½?{l<-7mF5lb:ÎiFHkŒf g <HlN?‹ ‰Š?BMG9s:KZÆi
Mr<-lN7m9;IKp]A;<-lFvn+¥N?HIK79OE ceRfhgKi9s:€68ACAOpL:R9O?zÞ_:ß ª{à › eRfhgKiP@F5l|ß ª{à › Pk‘F5l|:~aGF5lm7BP
:~9CELIK?dfhg|=9CACAhn½?»rY`?HqÕ9O7w9;:|<dMGlN9OELIK9OML<-Ajn]pGELq`AO?ŸF-‚z?{lf ™ P<-ELq 9;:€„v9C‚z?BE n+‡
ß ª{à ɛ ­ f É=Ê › ZŒ6879s:q`?BMG9sIK7N?Hq9CE|lNFH=ÑE`pGunL?BlŒ7~=@Fk‘lNF5uîn½?{ACFH= 9OE|7NaG? q`9s<-„5lb<-u
šš f „
¸B¸B¸ ffË
š f ¹ Z§ Z§ Z§ Z§ HZ§ Z§¹ Z§ Z§ Z§ Z š f ›
¸B¸B¸ (ff„ (
šš (fh¹ ( `˜ ¹› š (f ›( Z§ Z§ Z§ Z§ ˜`Z§ Z§› Z§ Z§ Z§ Z š f
™
˜
˜™
˜™
˜™
šš f ( ›
¸B¸B¸ fj( ¹
š f(™
،aG? lNFH=<-nLFH‚z?7maL<-7h9;:IB<HACAC?}qTß ª{à ¹ P<-ErqŸ<-nL„ FH‚z?7Nar<-7 ¹ e–EGFv7jq`?{MG9;IK7m?Hq½iß ª{à „ P
?B7bI5Z)¹ …AO7NaGFvpG„5a7NaG?Blm? <-lN?7maGlN?B?u|<HML:ok‘lNFvuß ªBà 7mFwß ª{à PL<HELq>7~=ŒFuƒ<-ML:ok‘lmF5u
ß ª{à 7mFÜß ª{à › P7NaG?{‡"<-ACA@IKFvuwMLFz:~?€7mF„59O‚z?zP[k‘F5l ?H<5I®a Ì3P?BYG<vIK7NAO‡ŸF5EG?u|<HMÜk‘lmF5u
ß ª{à É 7NFŸf g Z€68EŸkŠ<5IK77maG9;:ju|<HM1u|<HDz?H:jß ª{à É 9OE`7mF<ƒM]lN9CErIK9CML<HAf g ‰ŠnGpGErq`AC?FH‚z?Bl
U{Ý
f É ¤ › k‘F5lQ̇ÍUvZ…AC7mF5„v?B7NaG?{lBP`7maG?‚v<HlN9CFvpL:jß ª{à É Þ_:o»r7…7mF5„5?{7NaG?Blx9CE+7NF<:R9OuwMGAO9;IK9s<-A
Fvn+¥N?HIK7xF-kM]lN9CErIK9CML<HAtn]pGELq`AO?H:KP<-pG„vuw?BE+7N?Hq|FH‚z?Bl…7maG?:R9OuwMGAO9;IK9s<-A[Fvn+¥N?HIK7fhg±9OEŸ7NaG?
lm9C„5a+7Œar<-ELqwI%F5ACp]uwEZoÓ9CELIK?h<-AOA:mypLg <HlN?H:
9CE|:~9C„va`7¼<-lN?hMGpGACAƉ8nr<5IDG:%P7maG9;:
uw?H<HEL:7NaL<H7
7maG?ß ª{à É Þ_:ok‘FvlNu <„vlNFvpGMLF59;q1ß ª{à e~f g i
9CEŸceRf g iPGFH‚z?Bl@7NaG?„vlNF5p]M½Fv9;qŸf g 9CE|”wZ
Î Ïwóé)ì Ðê
،aG?EGF57m9CFvEœF-k:R7<vIÎDJ7NaL<H7€=@?:~aL<-AOA…pr:R?9s:lN?BAs<-7m9C‚z?w7mFd<"IKA;<v:N:‹¶FHk|²q+?H:NIK?{E`7
?BM]9;:N´w9OE17maG?€nr<5:R?/IB<H7N?B„vF5lN‡J”wZw6–kҔ 9;:<w7NFvMLFz:KP‹ IKF5p]A;qŸn½?7<HDz?BE"7NFnL?7NaG?
IKAs<5:m:…F-k¼<-AOAt?{MG9CuwFvlNMGa]9;:Ruƒ:KZ@6ÐEŸ7maG?I{<-7N?{„5F5lm‡FHk:~uwFzF57maŸu|<-E]9Vk‘F5AsqG:KPG9O7jI%F5pGAsqn½?
7b<-Dz?BEŸ7mFwnL?€7maG?IKAs<5:m:±FHk¼:RpGls¥N?HIK7N9O‚z?:~pGnGuw?Blb:R9OF5EL:%mZ …E"<-Y+9CFvu|<-7m9;Ij7Nlm?H<-7muw?BE+7…FHk
7maG?MGlNFvML?BlN7m9C?H:…FHkx:~pLIÎaŸ‹ aL<v:jn½?{?BEŸ„59O‚z?BEuwF:R7:~pLIBIK9OELIK7mAC‡w9OEžSŽ-WŠÕ:R?{?<-A;:~FJSސ-WŠZ
Í"? :RaL<HACAEGFv7…EG?{?Hq>7mFn½?:RML?HIK9Æ»IjaG?Blm?zZŒÓz€p ˆƒIK?9C77mFw:m<}‡|7maL<-7h<-E+‡wMGpGAOAV‰ŠnL<5IDwFHk
<‹‰Š?BMG99s:<-„z<H9CET<#‹‰8?BM]98PL<-Erq<-AOAlN?BM]lN?H:~?BE`7b<-nGAO?…»LnGlb<-7m9CF5Er: eRciˆ<-lN?‹‰~:~7<5ID]:KZ
äL?B7x •`
f Ñ £ f¤ › nL? <u|<-Mw9OE”wPG=9C7Na:~9CuwMGAO9;IK9s<-AGDz?{lNEG?BA3f g ­
šš f ›
š f ™¸
¸B¸B¸ fh¹
äL?B7º £ ”÷nL?<»Ln]l<-7m9CFvEZoÍ"?7NaG?{E>ar<}‚z? <HE>?{Y`MGAO9;IK9O7k‘pGELIK7mF5l
® ©-° e~f¤ › «Nºi @ š fhÙµ ˜ e–ºimÚ5f g ¸
eŠÏ`UHi
’GF5l{Pof g 9;: <:R9OuwMGAO9;IK9s<-AF5n+¥N?}IK79OE eRf¤ › i ­ ”€Úvf¤ › )P …ELqŸ9C7„5Fz?}:n`‡ ˜ ™ •
”€Úvf¤ ” 7mF€f g PG:~F9C7
„5Fz?}:Œn`‡7NaG?k‘pGELI%7NF5Ql D•+”€Ú5f¤ º 7mF<:R9OuwMGAO9;IK9s<-A
Fvn+¥N?HIK7Œ› 9OEw£ ºŸPL<Hn½FH‚z?f g ÕGn`¯‡ ÒlNFvM½F:R9O7N9CFvEdUvP`7Na]9;::R9OuwMGAO9;IK9s<-›AGFv£ n+¥N?HIK7Œ9s:Œ<„vlNF5p]M½Fv9;q
9OE>ºTZ
Ó[1Ô:v/r’t{r±nAvw©~>L›À EhKMÀ Àmʟ¾Ã5ËRÀ‘Éz¿ M¿#º £ ” ÅVÌ/Ã|:R7b<5IDžÅ ÄfÄ{¿ Ã5ÄOÄ- Ջ ÂjeË >LÀ
Ä{Â+ÈG¾Kˊ¿×ÖuÆ$ØÙ/ÅVÌÃzÈ1ÀmÁBÂ`ÅeÇ{Ã5ÄCÀ%ÈG¾KÀs}
lm68nAopnAqsret8runAvµÚ yQÀË õ •zº £ Û
” KÀ ÁÌ%Ë8Ãz¾Î=× ÂÃzÈ]ʃÄOÀË
H •5¦ ™x£ ¦w¤ › « H •z¦ ™…£ ¦ ¤ ›
KÀƒÃ "m¿ À Ì|Å;È1º ÀÅCeË > ¾¿ d%d¿zȞÊz¿ dÃzÅ;ÜÈ ÂÃzÈG5Ê ÀÅCeË > õ e H i ­ õ e H _i|Ã>¯‹ |NÀ Åx ¢•
f ™w£ f¤ › }Ý~>LÀ%Èd’Ë >L?À ÎÀ/ÅVÌ/Ã1Â+ÈGÅ;ÁBÂG[À ÇHMÀ ÎˊÅ;¾Ã5ÄÅVÌ{¿ d¿ $>]ÅV=Ì d •3¦w¤ › £ -¦ ¤ › }
Ì{Ã5ˊÅVÌeÄ=¿5Å;È5É · H ­ H }
U%\
lm68n*n‚?9Òô
aGFzF:R?<IKAO?H<B‚v<-„5?xF-kùº £ ”wZ
،aG?{E=Œ?x„5?B7
<jk‘pGELIK7mF5l ¨ •5º ø—ÞßO £
fhÙµ ˜ e‘ºiNÚvfhgBP Er<-uw?BAO‡|7NaG?FvEG?=aG9;IŸa 7NF<HE1Fvn+¥N?HIK7j¦ “º ø—ÞšO <5:N:~F+IK9;<H7N?H:7NaG?
eŠIB<-lm7N?H:~9;<-EitAO9Vk‘7=9O7Na/IKF+q`Fvu|<-9OE¦F-kù7NaG?h:R9OuwMGAO9;IK9s<-A5Dz?{lNEG?BAfjg
F-k #•+f ™ £ f ¤ › Z
،aG9s:ok‘pGELIK7mF5lxu|<-Dz?}:
® ©H° e~f ¤ › «mºi ß @ š fhÙε ˜ e–ºiNÚ5fhg
“”
“
sª < ›
““ “ ¨
ºƒ—ø ( ÞßO
IKFvuwupG7<H7N9C‚v?pGM7mF€9s:RFvuwF5lmMGaG9;:~uŸZÓz9CErIK? sª < 9;:<HAC=<B‡]:…<HE?HyzpG9O‚5<HAC?BErIK?zP+<-ELq @
9s:j<-E"?HyzpG9C‚v<-AO?BELIK? n`‡7NaG?<v:N:~pGuw?HqŸ:~7<5IDM]lN› F5ML?Blm7~‡F-k¼ºŸP=Œ?IKFvELIKAOpLq`?7maL<-7 ¨
9s:Œ<-E|?HyzpG9O‚5<HAC?BErIK?zZ368E>Mr<-lN7m9;IKp]A;<-l{Pz9C79;:k‘pGACA<HELqƒkŠ<H9C7Na+k‘pGA8ZQû…FH= 7NaG?Blm?j9;:<p]EG9;yzpG?
‚z?Blm7N9sIB<-AùIKF5uwMr<-lN9s:RFvPE àT•`š @R¦ ¤ › £ ¦ ™ =9C7ma H h· àŸ?HyzpL<-A7mF€7maG? IKAC?H<B‚v<-„v? IÎaGF:R?BE
AO9Vk‘7 ß@%e–¦ ¤ › i £ ¦ ¤ › F-kh +ZÜÓ9Cuw9OA;<-lmAC‡zP7NaG?Blm?€9s:<ŸIKFvuwML<HlN9;:~F5ERà • š@Ke–¦ ¤ › i £
¦ ™ Z،aG?}:R?Ÿ7~=ŒF“I%F5uwML<HlN9s:RF5Er:wIKF5u/M½F:R?Je–9CE+‚z?Blm7N9CE].„ à i7NF“<“IKFvuwML<HlN9;:~F5E ™ •
š @Ke–¦ ¤ › i £ š @Ke–¦ ¤ iZÍ1?u|<B‡IKF5E+7N9OE`p]?:R9Ouw9CAs<-lmAC‡€k‘Fvl7maG?AC9Vk‘7b:…F-khf Œ £ f ¤ › P
<HELq>7mF5„5?{7NaG?Bl{PG7NaG9s:Œ› MGlNFH‚+9;q`?}:Œ<-E9;:~F5uwFvlNMGaG9s:Ru
g • ¨ e‘¦w¤ › i £ ¨ e–¦ ¤ i
9OEÜfhÙµ ˜ e–ºimÚ5f g P<-Erq>n+‡€k‘pGACAOEG?H:m:ÒFHk ¨ PG9O7xIKF5uw?}:o›k‘lNF5uú<‚z?BlN7m9;IB<HA[9s:RF5u/F5lNM]aG9;:~u
•z¦w¤ › £ G¦ ¤ Z
،aG?‚v<-lm9CF5pr:…<HlNlNFH=x:uw?BE+7N9OF5EG?HqaG?Blm? :R9C79OE<q`9;<H„5l<Hu
›
@ ¦w¤ › á š ¦w¤ ›
“”
“
à “ H“
“
(
™
¦ â™
II
à I I
H IJ
( @ ¦ ¤ á ›
š ( ¦ ¤ ›
9OEŸ=aG9;IaŸ7NaG?pGEGEr<-uw?HqŸ<HlNlmF-=x:<HlN?7NaG?/IKAC?}<}‚v<H„5?K‰ÐIÎa]Fz:R?{EŸAC9Vk‘7b:KZ687…k‘FvACAOF-=x:…k‘lmF5u
IKFvuwupG7<H7N9C‚+9Æ7~‡€FHkx7NaG?lm?Bu|<-9OEG9CE]„€7mlN9;<HEG„5AO?H:j9CE"7NaG9s:jq`9s<-„5lb<-u 7NaL<H7 <-A;:~F|7NaG?7Nlm9V‰
U{
H< EG„5AO? · H ­ H IKF5u/u€pG7m?B:%Z † ،aG?jp]EG9;yzpG?BEG?}:N:F-kQ:~pLIÎa k‘F5AOACFH=x:Œ:~9Cuw9OA;<HlNAC‡jk‘lmF5u
7maG?jkŠ<-9C7ma`k‘pGAOEG?H:N:ŒFHk ¨ Z
’GF5l<„5lNFvpGMLF59sqܦgjFH‚z?Bljfhg-P<-E+‡¦ ¦ ¤ F-‚z?{lj q`?H:~?BlN‚z?H:7Na]?EL<Huw?FHk
Ì{¿5ÄÆÂzˊÅ;¿zÈ¿ Äh’Ë >LÀhÊ`ÀNÌ{¾KÀ%È+˹m¿KÄCÀMd ]¿-ÌHÀmÊ%s™ ¿…£¦ g ZüŒ›‡ÕÒlNFvM½F:R9O7N9CFvEÏ`PG:~pLIa|:RFvACpG7m9CF5E
9s:Œ?H:N:~?BE`7m9;<HACAC‡pGEG9syp]?zZŒeŠ6Ð7=9OACAù<5IK7mpL<-AOAC‡wnL? <€I%Fz?Hypr<-AC9O³B?Bl@F-kQ¦ ›%£ ã ¦ ™ ZÆi
ä åçæGW ì¯í WYX[Zžé \H=ë ]fWjò
Í"?w<HlN?wE]F-=÷„vF59OEG„Ÿ7NFu|<-Dz? MGlN?HI%9;:R?9CE"=aG9sIÎaJ:R?BEr:R?|<HELq1=a+‡¢ce~fjgij9s:<IKF-‰
?HyzpL<HAC9C³{?Bl
F-k
7maG?j„5lmF5pGMLFv9;q1fhgBZ
،aG9;:o»rl:R7xF-kˆ<-AOA[uw?}<-EL:
7NaL<H7…FvEG? :RaGFvpGA;q:RML?HIK9Æk‘‡
7maG? Ï}‰ÐIB<-7m?B„5FvlN‡|9CE|=aG9sIÎaw7maG9CE]„z:7<-Dz?hMGA;<vIK?zÕ`7maG9;:Œ9s:Œ7NaG? ÏB‰~IB<H7N?B„vF5lmè‡ B PG7NaG?jk‘pGAOA
:~pGnIB<-7m?B„5FvlN‡F-kQ:R7b<5IDG:9OEL:R9sq`?7NaG?hÏ}‰ÐIB<H7N?B„vF5lN‡|ýþŠÿ Z
Óz?HIKFvELq`AC‡PFvEG?h:RaGFvpGA;qw:~ML?HIΉ
9Æk‘‡7maG?u|<HM •`f ™ £ ceRfhgKiP5=a]9;Ia9;:t7mFnL?7maG?²IKFz?}ypL<HAC9O³B9CEG„hu|<-ML´+P57NFv„5?B7maG?Bl
=9O7Na/<Ï}‰ÐIK?BAOAéƒnL?B7~=@?B?BE/ ˆ· ˜ ™ <HELqw · ˜`› Z
،aG?xu|<-M/ j9;:„5Fv9CEG„ 7NF n½? ß ª{à › eRf g iP
uwFvlN?MGlN?HI%9;:R?{AC‡zP@:RFvuw?ŸML<-lm7N9s<-AIKAO?H<B‚v<-„5?ŸFHkceRf g i=9C7maÑIKF+q`Fvu|<-9OE ß ª{à › eRf g iZ
…Erq `« éÜ9s:…„5Fv9CEG„w7mFwnL?Ÿ²N7maG?H´wF5n+¥N?HI%7…9OE ¨©5ª eRf g «Kce~f g imiŒ=a]9;Ia“¾¿ MÎÀNÌ ]¿zÈGÊ-Ì
7mFŸ7NaG?w„vlNFvpGMLF59;q ß ª{à g e~f g ijFH‚z?Bl€f g 9CE ceRf g iP
pGELq`?Bl 7NaG?IKFvlNlm?H:RMLF5Erq`?BELIK?|FHk
Óz?}IK7N9OF5EL:ρ<HELqÝ+Z
e á EG?xlN?}<5:RFvE€k‘F5l@lN?Kk‘gFvlNupGA;<H7N9OEG„jI%Fz?Hypr<-AC9O³B9CE]„q]<-7< êHq`?}:NIK?BE+7q]<-7<9CE7N?Blmu|:tFHk
„vlNF5p]M½Fv9;qG:9;:…7maL<-7 ß ª{à eRf g ix9;:j<wI%F5uwMGAO?B7N?{AC‡?BY`M]AC9;I%9C7MG9O?HIK?FHk¼qG<-7b<`P9CE+‚zF5AO‚`9OEG„
EGF/IaGF59sIK?H:KPzFvljyzpGF57b<-7m9CF5Eu|<-lmDG:@<-lmF5pGELqq`?K»LE]9C7N? <HlN7N9sIKAC?}:KZVi
ÓzFIKFvEL:R9sq`?BlBP3<€»LY+?Hq»LnGl<H7N9OF5E`‰Š9CE`‰Š„5lmF5pGMLFv9;qG: õ •[º £ ”wP3<-ELqJ<-A;:~F</»rY`?Hq
e%²:Ruƒ<-ACAs´iQ„5lNFvpGMLF59sq1f g 9CE”wZÍ"?aL<B‚z?7maG?jk‘F5AOACFH=9CEG„I{<-7N?{„5F5lm9C?H:<HELqƒk‘p]ELIK7NFvl:
¨±©ª eRf g «Nºi Z;Z§š Z fhÙµ ˜ e‘ºiNÚvf g gZ§ Z;Z š ® ©-° eRce~f g i«Nºi
eŠÏ5Ïzi
،aG?IB<H7N?B„vF5lN9O?H:<-lm?zPŒlm?H:Rg ML?HIK7m9C‚z?BAO‡zP7NaG?IB<H7N?B„vF5lm‡¢FHkI%Fz?Hypr<-AC9O³B9CE]„ŸqG<H7<œeOµ •
f ™j£ ºŸ« FiPL<v:Ò?BY+MGAs<-9CE]?Hqw9CE1Ó?HIK7N9OF5EÏ`PL7Na]?IB<H7N?B„vF5lN‡|FHk
„5lmF5pGMLF59sqF5n+¥N?HI%7:¦ g
9OEºŸPzF-‚z?{lŒf g P`<HELq® ©H° eRce~f g i«Nºi39s:t7NaG?hIB<H7N?B„vF5lN‡FHk
eŠIB<-lm7N?H:~9;<-Ei[k‘pGELIK7mF5lb:ˆnL?K‰
7~=Œ?{?BE»LnGlb<-7N9OF5EL:8‰89OE`‰Š„5lNFvpGMLF59sqG:KPLFH‚z?Bl@”w)Z …ACAG7maGlN?{?jIB<H7N?B„vF5lm9C?H:
<-lm?j9CEkŠ<5I%7je–As<-lm„5?5i
„vlNF5p]M½Fv9;qG:%Z
،aG?k‘pGELIK7mF5lb:q+9;:RM]A;<B‡z?HqŸ<-lm?w<HACA
?HyzpG9C‚v<HAC?BELI%?H:KÕ[7maG?k‘pGACA
<HlNlmF-=x:<HlN??BY`M]AC9;I%9C7BP
7maG?"q`F57m7N?Hq F5E]?H:|<-lN?"yzpL<v:R9V‰Š9CE+‚z?Blb:R?H:%P…<HELqÑq`?BML?BELq F5E¯IÎa]F59;I%?de8:m<B‡zP…FHkML<HlN7N9s<-A
IKAO?H<B‚v<-„5?}:<-ELq:RF5AOpG7N9OF5EL:ŒFHk@q`?H:mIK?BE+7ŒMGlmF5nGAO?Bu|:iÕ`7maG?jk‘pGELIK7mF5l
fhÙµ ˜ e–ºimÚ5fhg Z§ Z §Z š ® ©H° eRce~fhgKi«Nºi
eŠÏ5Ýzi
lm?Hyp]9ClN?}:ok‘F5lx9C7:xIKFvEL:R7mlNpLIK7m9CFvEŸ7NaL<H7…º 9s:<w:R7b<5ID[Zx،aG? 7R=@F#k‘p]ELIK7NFvl:F5EŸ7maG?AO?Kk‘7
9OEœeŠÏ5ϝi <HlN?w7maGFz:~?w7Nar<-7ar<}‚z?nL?B?BEd?{Y`MLF5p]ELq`?Hq19OEd7Na]?€MGlm?B‚+9CF5pr::R?}IK7N9OF5EL:%Z،aG?
U{
k‘pGErIK7NFvl<-AO9C7~‡|F-k@7Na]??BY`M]AC9;I%9C7Œk‘pGELI%7NF5lb:…9CE“eŠÏ5Ïzi…9s:K•ML<v:R7N9OEG„|=9C7madý•½º £ ¶FvE
7maG?€AO?Kk‘7IKFvlNlm?H:RMLF5ErqG:7mF<HMGMGAO‡`9OEG„Ÿý FvE1„vlNFvpGMLF5g 9;qdFvn+¥N?HIK7:x9CE"ºŸZw،aG??BY+MGAC9sIK9C7
k‘pGErIK7NFvlF5E“7maG?wlN9O„5a+79s:Œ¥NpL:~7²N?{‚5<HACpL<H7N?<-7ß ª{à ´+Ոk‘FvlBP
<wk‘pGELIK7mF5lFH‚z?Bl ”wP
:N<B‡
£ ºŸP
IKAO?H<-lmAC‡Ÿ7<HDz?H:„vlNFvpGMLF59;q“F5n+¥N?HI%7:FH‚z?Blf g 9O®E 7mFŸ„5lNFvpGMLF59sq¢g F5n+¥N?}IK7:
FH‚z?Blxf g 9CE/ºŸZŒØŒa]9;:Œ9CE/ML<-lm7N9;I%pGA;<Hlx<-MGMGAO9C?H:Œ7mF7NaG?h„5lNFvpGMLF59sqF5n+¥N?HIK7xß ª{à eRf g i
9CE
ce~f g ibZ
ÓzFw7maG?lm?Bu|<H9CEG9OEG„7b<5:RD9;:7NFMGlNFH‚+9;q`? 7NaG?k‘pGELIK7mF5l e8ÏvݝiPLMGlmF-‚+9;q+?Hq>g 7maL<-7jºú9;:
<:R7b<5ID[P]<-ELq|MGlNFH‚z?j9O77NFn½? yzpL<5:~99CE+‚z?Bl:~?j7NF7maG??B‚v<-AOpL<-7m9CF5ET<-7jß ª{à Z
Í aG?BE|7maG9;:ŒaL<v:ÒnL?B?{EŸIB<HlNlN9O?Hq€FvpG7BPG=@?ar<}‚z?7maG?lN9C„va`77mF<5:m:R?Blm7
»¼½13nA6Ž132 Ú¦yQÀË
w•[f ™£ ce~f g i« éÝKÀ ’Ë >LÀ¾¿5ÀmÁBÂ+Ã5ÄÆÅVÇ{Å;È5ÉÊzÃ5ˊŽÃ Âh¾¿ "ÀNgÌ ]¿zÈGÊzÅ;È5É
Â+ÈGÊ`MÀ |’Ë >LÀ|ÄCcÀ Ä%ËÌ{Å;Ê`ÀŸÀmÁBÂ`eÅ Ç{Ã5ÄCÀ%ÈG¾KÀ"¿ Ä5ÖuÆÆ"Ù"ˊ¿d’Ë >LÀÁÉ N¿zs G¿zÅ;ÊJ¿ ’ëHÀm¾KËß ª{à eRf g iƒÅ;È
ce~f g =i } ~>LÀÎ
È Ä{¿ xÃz$È ¿Ì%ˊÃz¾Î×xº ¿ Ç-MÀ ŒV” Â]Ã-Ì%Ë8Å;È5ÕÉ ÀÅCeË >Y N¿ Ç{Å;Ê`ÀNÌhÃzÈ>ÀmÁBÂ+eÅ ÇBÃ5ÄCÀ%È]¾KÀ
® ©H° eRce~fhgÎi«mºi 𠍩5ª eRfhgH«Nºi¸
،aG9s:Œ9;:o?{YG<vIK7NAO‡€7mF:N<B‡€7maL<-7x:~pLIa +« éw9;:<IKFz?}ypL<HAC9O³B?Bl
9CE|7Na]?Ï}‰Ðq`9Cu/?BEL:R9OF5EL<HA
:~?BEL:R?PoFHkf g Polm?HIB<-AOAC9OEG„7maL<-7pGE]9C‚z?Blb:N<-A@MGlNFvML?BlN7m9C?H:Ï}‰Ðq`9Cu/?BEL:R9OF5EL<HACAO‡":RaGFvpGA;q“n½?
?BY+ML?HIK7m?Hq€7NF/IKAs<5:N:~9Vk‘‡"²NpGM7NF?HyzpG9C‚v<-AO?BELIK?}´`PzEGF57²Np]M7NF9s:RFvuwF5lmMGaG9;:~u|´`Z
ÓzFwAO?B7pL:jI%F5EL:~7NlNprIK7j<k‘pGELIK7mF5leŠÏ5ݝibZäL?B7x¦ g nL?<€„vlNF5p]M½Fv9;qFH‚z?Blf g P½9OEºŸP
<v:N:Rp]uw?Hq€7mFn½?±<:R7<vIÎDZ
ØFIKF5EL:~7NlmpLIK7Œ9O7:
9Cu|<H„5?xpGELq`?Bl7maG?…k‘pGErIK7NFvle8Ï5Ýzi
uw?H<HEL:
7mFwIKFvEL:R7mlNpLI%7x<k‘pGELIK7mF5lxF-‚z?{l”wP
ce~f g i £ ºŸ¸
eŠÏ-\+i
،aG?"I%F5ELIK7mlNpLI%7N9CFvE 9;:€„vF59OEG„“7NFd9OE`‚zFvAC‚z?:RFvuw?ŸIaGFzFz:~9CEG„“FHk|e8I{<-lN7m?H:R9s<-E[iAC9Vk‘7b:KÕh<
ML<HlN7m9;<-A@IKAO?H<B‚v<-„5?”€Úvf º =9CAOA
:R3p ˆ|IK?VZ xA;:RF]P9C7j9OE`‚zFvAC‚z?H:xIÎa]Fz:R9OEG„:RFvACpG7m9CF5Er:
k‘Fvljq`?}:NIK?BE+7MGlmF5nGAO?Bu|:o™9OE£ ºŸZxÓzF€=@? <5:N:~pGuw?„59O‚z?BE<-EŸFvn+¥N?HIK7#ȼg £ È ¤ › F5E7NaG?
AO?Kk‘7jaL<HELqd:R9sq`?zP98Z ?zZCP<>M]lN9CErIK9CML<HAŒfhgR‰8n]pGELq`AO?€=9O7NaJypGFv7N9O?BE`7 È ¤ › ÕQ:RF7NaG?Blm?9;:j9CE
ML<HlN7m9;IKpGAs<-l
< :R9OuwMGAC9sIK9;<HA5u|<HÕM ƒ`g$• ȼg £ fhgBZ
’rFvl
?H<5IÕa ÌtPz=Œ?x7<HDz?x<IB<-lm7N?H:~9;<-EAC9Æk‘7
FH‚z?B
l ƒ É =9C7ma"IKF+q`Fvu|<-9OE¦ É Pù:N<B‡ ƒŠ É •½¦ É £ ¦ É ZeRÓpLIÎaŸAO9Vk‘7b:…IB<HEŸnL?€FvnG7<H9CEG?Hq
IB<HEGF5E]9;IB<HACAC‡n`‡TIKF5u/ML<-lm9;:RFvEŸ=9C7maŸ7NaG?IaGFz:~?BE"AC9Vk‘7xF-k #· ƒ ¹• È f f P
=aG?{lN? ˜ •f É £ f ™ 9;:x7NaG?IKFvuwMLFz:~9C7N?FHk¼<>:~7Nlm9CEG„wFHk ˜ ˜ ™ Þ :jÉ :N<B‡zZÆiŸÉ û…£ FH=Én+‡>£ pr:R9CE]™ „
7maG?|IB<HlN7N?}:R9;<HE1M]lNF5ML?Blm7~‡1FHkx7NaG? ƒŠ É Þ_:%P<-Erq¢I%F5uwML<HlN9OEG„|=9C7Na"7Na]?|:R9OuwMGAC9sIK9;<HAtuƒ<-M
È g f g PF5EG?F5nG7b<-9OEL:<|:R?{lN9C?}:±FHkŒkŠ<vIK?€FvML?Bl<H7NF5lb:nL?B7~=Œ?{?BEŸ7NaG?-¦ Þ :KPu|<HD`9OEG„
G¦ g £ 9OE`7mF<:R9OuwMGAC9sIK9;<HAF5n+¥N?HI%79CE"º <Hn½FH‚z?7NaG?/„5lNFvpGMLF59s‹q È g Z|üŒpG7 :RÉ prIÎa“q]<-7<|9;:
EGFH=ÖMGlN?HI%9;:R?{AC‡Ÿq+?H:NIK?{E`7q]<-7<wk‘F5l q`?H:mIK?BE+7 <-ACFvEG„7maG?<-p]„5uw?BE+7<H7N9OF55E È ™£ È
¤ › P
:~F:~9CELI%?º¶9s:j<|:R7<vIÎDP[¦Gg q`?H:NI%?BELqG:…7mF<-E"F5n+¥N?HIK7h¦-¤ › 9OEŸºì—ÞšO%ZØŒaG? MGlmF+IK?H:m:
È g í£ -¦ ¤ 7ma`pr:q`?H:NI%lN9CnL?Hqw9s:Œ7NaG?lN?}ypG9s:R9O7N?…k‘pGErIK7NFvljceRf g i £ ºTZ
›
UHâ
"Í ?>E]F-=îMGlNFH‚z?|7NaL<H7€7maG?|7~=ŒFŸMGlmF+IK?H:N:~?H:<-lN?9CE+‚z?Bl:~?w7NFŸ?}<5Ia¢Fv7NaG?{lBPŒpGM“7mF
9s:RF5u/F5lNM]aG9;:~uŸZ äL?{7>pr:>:~7<HlN7=9O7NaÑ<“„5lNFvpGMLF59sq ¦g>FH‚z?Blfhg|9CEÑ7NaGg ?":~7<5ID ºŸÕ
=@?w=g <HE`77mF?B‚v<-AOpL<-7m?|7NaG?wlm?H:Rp]AC7Ng 9OEG„>k‘p]ELIK7NFvlwceRfhgKi £ º FvE ß ª{à eRfhgKiZ"üŒpG7
ß ª{à e‘¦ g i:R9O7:j9CE"º <Hn½FH‚z?ß ª{à e~f g ij9CEJ”wP:~F9O7±k‘FvACAOF-=x:…k‘lmF5uî҈lmF5MLFz:~9C7m9CF5E¡Ï
7maL<-7Œß ª{à › e‘¦ g i £ ¦ ™ ¹ 9s:<…:~F5AOpG7N9OF5EF-k7maG?q`?}:NIK?BE+73MGlNFvnGAC?BuMLFz:~?Hqn+‡#ß ª{à › e‘¦ g iP
<HELqw:R9Ouw9CAs<-lmAC‡…k‘Fvl…ß ªBà e–¦ g i £ ¦ › P?{7I5ZOPz:RF pGM€7mF9s:RF5u/F5lNM]aG9;:~uŸP-=@?lN?HI%F-‚z?{l7NaG?
„vlNF5p]M½Fv9;q|¦ g Z
ô
F5E+‚z?Blb:R?BAO‡zPAC?B7 pL::R7<HlN7=9C7maœ<k‘pGELI%7NF5[l D •Òce~f g i ºŸP¼<-ELq“?B‚v<-ACpr<-7N?
9O7<-7wß ªBà g eRf g iP
:~Fd<v:#7mF1„v?B7<܄vlNFvpGMLF59;qD eRß ªBà g eRf g iNi9O£ E¢ºTՌn`‡J7NaG?|lN?}IK9CML?
MGlmFH‚`9sq`?Hq[PG7maG9;:Œ„vlNF5p]M½Fv9;q„v9C‚z?H:Œlm9;:R?7mFw<k‘pGELIK7mF5l D֕rce~f g i £ ºTP½=aGF:R? ‚5<HACpG?
<H7<M]lN9CErIK9CML<HAf g ‰ŠnGpGErq`ACm? È g È u|<B‡ n½?±q`?H:Rlm9CnL?Hqw<v:ˆk‘FvACACFH=x:%•t9C7@<HuwF5pGE+7:7mF
pL:~?€7maG?:R7b<5IDŸMGlNFvML?BlN7~‡FHkº £ 7NFq`› ?H:mIK?BELq"<|IK?Blm7<-9OEŸ?HyzpG9C‚v<-AO?BELIK? lN?BAs<-7m9CF5EŸ9OE1º
<HACF5E]P„ È Èx¤ 9OE”wP<-Erq>7Na]9;:Œ?HyzpG9C‚v<HAC?BELI%?jlN?BAs<-7m9CF5E|9s:…q`?}:NIKlm9CnL?Hqw9CE|7N?{lNu|:ŒFHk
9O7:ŒEG?Blm‚z?z™jP`£ =a]9;Iaw› 9;::~9CuwMGAO‡
šš D e~ß ª{à ¹ e È g iNi š D eRß ª{à › e È g imi«
nGp]7x:R9CErIK? DMGlm?H:R?Blm‚z?H:MGpGAOAV‰ŠnL<5IDG:<HELq|:RFvACpG7m9CF5Er:ÒFHk
q`?}:NIK?BE+7ŒM]lNF5n]AC?Bu|:xe–7maG9;:ok‘FvAV‰
AOF-=x:ok‘lmF5©
u ÒlmF5MLFz:~9C7N9OF5E"ÏziPG7Na]9;::RFvACpG7m9CFvE9;:je‘9;:~F5uwFvlNMGaG9sIÒ7mF`Qi D e È g iZ
ï `.`®W.ï _ŸMë ð5ñòåóæGW ôzéì Wê %í ô¯é óòŒë{é#Gï ^V\=W
’GF5l@<:R9OuwMGAO9;IK9O<-AzFvn+¥N?HIK7¦g
9CE<HE`‡IB<H7N?B„vF5lm‡zP5=Œ?h:Rar<-ACA]n½?x9CE+7N?{lN?H:~7N?Hq9CE9C7b:tACFH=@?H:R7
q`9Ouw?BEL:~9CFvEL<-ALML<HlN7:%P
šš ¦
š ¦ ™¸
¦¹
eŠÏ5zi
›
،aG?h7NaGlm?B?…kŠ<5I%?jF5ML?Blb<-7NFvl:¦¹ £ ¦ › =Œ?q`?{EGF57m? H ™ P H › <-Erq H ¹BPG<-Erqƒ7maG?j7~=ŒFkŠ<5IK?
FvM½?{l<-7mF5lb:#¦ › £ ¦ ™ P
=Œ?|q`?{EGF57m? ˜5™ <HELq ˜ › Z"’GF5l7maG?IB<-AsIKpGAs<-7N9OF5EL:%P9C7 9;:<HA;:~F
IKFvE`‚z?{EG9C?BE+77NF/aL<B‚z?EL<-uw?}:¼k‘Fvlj7NaG?7maGlN?{?IKF5uwMLF:R9C7m?H:¦ ¹ £ ¦ ™ P[=@?IB<-AOAt7maG?Bu
ª ™ P ª › <-ELq ª ¹ PG7Na]?B‡w<HlN?q`?K»LEG?}qƒn+‡7NaG?jk‘F5AOACFH=9CE]„nL<5:~9;I?}ypL<H7N9OF5EL:
ª ™ ­ ˜5™ · H ™ ­ ˜5™ · H ›
ª › ­ ˜ ™ · H ¹ ­ ˜`› · H ™
ª ¹ ­ ˜`› · H › ­ ˜`› · H ¹
’GF5l 7NaG?IB<v:R?w=a]?BlN?w¦ g 9;:7NaG?/EG?BlN‚z?F-k±<Ÿ:Ruƒ<-ACA@IB<H7N?B„vF5lm‡d<HELqd=Œ?|IKFvEL:R9sq`?Bl<
ÏB‰~:~9CuwMGAO?BY á PG98Z ?zZCP+<IKF5uwMLF:N<-n]AC?jML<H9Cl
šc
õ
ö š¨«
U{^
HIB™<HeE|á n½i ?­ lm?Bt ELP q`H?B›lm?He á q€i ‚z­ ?BlmnLö <-·÷AOAC‡t •ŒP ËeH >L¹ À e á Êzi ¿d­ Ãzö Å;ÈP
<-¿ÄELqŸËe>Lk‘À…F5lÌHÀm9O¾EL¿z:RÈ]7bÊ><-ELÃI%M?€N¿7mÀaG?wuwÅV̱9sqG˒q`>LACÀ ? ¾?H¿HyzÊzpL¿<-d7m9CÃzF5Å;E È
¿Ä ËeL> À›EhN Ì%ËjÃMN ¿À® † <-ELq ª ™ e á i ­ õ P ª › e á i ­ cP ª ¹ e á i ­ ö ¨ Z€ØŒa]?IKF5uwup`‰
7b<-7N9O‚z? :NyzpL<-lm??BY`M]lN?H:m:R?Hq|n`‡|7Na]?uw9;qGq+AC?j?HyzpL<H7N9CFvE9s:j<€MGpGAOAV‰ŠnL<5IDPGn`‡q`?K»rEG9C7m9CF5E
FHk²bIKF5u/M½F:N<HnGAC?ML<H9Clb´`Õ7NaG?IKF5u/u€pG7b<-7m9C‚z?h:NyzpL<-lm?H:j?BY`M]lN?H:m:R?Hq|n`‡|7Na]?7R=@FwF57maG?Bl
?HyzpL<H7N9CFvEL:<-lm?MGp]ACAV‰ŠnL<vIÎD]:oMGlm?HIK9s:R?BAO‡€=aG?{E>¦ g 9;:<„5lmF5pGMLFv9;q[Z
ø W#ôWhpò WïŸì Wê
SVUKW Ò3AZ ù…?BAC9O„5EG? <HEL.q ùZLãpGEGuk‘F5lqPG،aG? 9ClNlm?Hq`pLI%9CnG9OAC9C7~‡ F-k
7maG?uwF+q`pGAO93:RML<vIK?FHk
IKp]lN‚z?H:
F-k@<„59O‚z?BEw„5?{E`pL:%AP ÒpGnGA8ZLãŸ<H7NaZL6úZ ¶Z_XZVÓrZ`Ýv`P[â}}‰bU5UBæŸemsU i5š iibZ
SŽÏ-W ûGZ ÍZ ù…pL:~D`9OEPGÓz9CuwM]AC9;I%9;<-A+ã?{7NaGF+qG:
<HELq€7Na]?x6ÐE+7N?{lNMGlm?B7<H7N9CFvEF-k¼²ØlN9CM]AC?H´ô
F-‰
aGFvuwF5AOF5„v‡zPGã?BuT€Z Z_ãdZVÓrZ[UBvÝ>emsU izâHibZ
SŽÝ-W ãd‚Z ¶…F-k‘u|<HEGE/<-ELq|ØjZ½Ó7NlN?{9;IaG?BlBP،aG?„5lNFvpGMLF59sqƒ9OE`7m?BlNM]lN?B7b<-7N9OF5EF-kQ7~‡`ML?j7maG?K‰
FvlN‡zZ]6ÐEùp• ü Z½Ó+<Hu€n]9CE<-ErPq ûGZGÓzu/9C7Na|e‘?HqG:%ZV%i ~/À
À%È`Ë ¿Ž|±¾@eÅ ÇHGÀ ý½Àmà ḇ¿ ĉþ
¿zȝÌ%Ë %Â+"¾ |
ˊeÅ Ç-GÀ ~$¿½¯À ~>LÀm¿ "¿HP á Yzk‘F5lbq1=U ißi5^+Z
S \5Wä3ZQ6ÐAOACpL:~9C?zPô
FvuwMGAC?{Y`?IKFv7<HEG„5?BE+7?{7q`?Kk‘FvlNu|<H7N9OF5EL:6P36N6PÓzMGlN9OEG„5?{l€äL?HIK7mpGlN?
û…Fv7N?H:Œ9OEãŸ<-7NaùZLÏ5ßÝ ieNsU izâzUHiPÏ5^5Ý|eN=U iâ}ϝiZ
Sސ-W Z ÿjF+IÎDPtô
aL<Hl<vIK7N?Blm9C³H<H7N9OF5EŸF-kÒ:R7b<5IDG:…FHk@MGlN9OELIK9CMr<-A»LnGlN?n]pGELq`AO?H:KP68EL:~7N9O7NpG7
ã9O7N7<H„-‰mäL?Kå/?Bl Ò?{M½FvlN7hϝâPLÏ5æ5ævÜæ êÏvæ5æ+U5Z
SŽ-W 6ZxãFz?Blq+9§¥ND#P ù…?H:mIK?BE+7|7NaG?BFvlN‡œk‘Fvl7NFvMLFz:R?}:KPüŒpGAOA8ZÆÓzF+I5Z_ãŸ<H7NaZ üŒ?BAC„]Ze i\]U
emsU i5š^ iibP[ÝzâHÝ}‰ÐßÝ i+U5Z
S âBW XAZ Ò<HACuw„vlN?BEP+6~q`?BE+7N9O7~‡wØ
‡`ML?H:<HELèq üxlNFvpGMLF59sqG:KPLMGlN?{MGlN9OE`7¼Ï5æ5æ+U5Z
!"#$&%"('*)+,-./0
1*23
4 5*6'7 4 89'*:!;<8=8>1*@?A8>898B5C6>D>8%E'7 4 .&B
-FHGII.I 4 @JBK-
2
=LM>"N:2'1*2O6PQ7R3S.T3+52
U=i