!
"$#
%&('!*)+,-/.!#0#1-!*23+
456870#96&(":!,#<;=9#
%>?@A
B,1$C"D!-AEFGHIKJLNMPO1QSRUTVWXJYLJZQ
[!\]Q$VQ0^_F`JabR0cdQST0e$fR6T
5g+"hi&(jglkEm!m!mnm*&o.
g+9p61>rq8-U#Bsknk!t
uSvŒ‡‚wyv$xzv1{9wŽ|~Œ}@3{1v{z9€‘Œ‡vx“€z’ v,P{z‚„ƒb}3w…6P{„P†‡†‡v†UuS}@ˆŠ‰(‹(x„PxzŒ‡}3w
”(u•,1–@…
–!uš— }@™›‹(˜x‘ƒb—Š˜bœP• Œ‡w — xz{zvvx
ž }3‹(€zx‘}@wUŸŽ ¡i¢@¢ –3–@£
1 — ‹( ¤Ž§ ˆ¢,™zŒ‡xz¯ x‘• v¥ — v‰Žxzvˆ¤¦v{ •¨§3§@©(ª¬« @PŒ‡†­P¤(†‡vXP€XŒ‡‚v®u «1« ˜
°:±A²2³0´(µ„¶U·S¸¹NºS²2»·S´(µ„¼(ºS½¼¾º
¿¬Àb·
Á¦Â*ÃÅÄ$º›¸„¸„º0ƚµ„½ÇhÈ1Á¦´(·
Á¦³UÇSµ]³0¼É¿¨ºS´X·ËÊÌ·S¼(µ„¶
ÍH½Á¦³U´(µ„ºS´3Ã9Àκ›µ„½Á¾ÏK³ÐÁÂº*Ñ+¿¨ºS´¾°:ºS½¸„µ„½³U·S´ÉÀÉ´(ºSǛ´(·S²Ò²2µ„½Ç
ÓÔ
Պ֨×ÙŽØ ÚÜÛ(ÝÞ ß Ô
Õ¬Ôà Ù(á6â“ٝã ä Ô
å Úyæ Ù(Ø Û(çoè6ÚyÛ(é
ê ë
ìí,îPïðñí
õ(ô‡ó(ó ýò*ù‘ónô‡÷@ô‡ünóô‡õŠù‘ùz÷ öûý„÷3(þ(øzûù]óŽùzúñ÷ ûóy‡øz÷ùoõøzûô‡ó(ü‘û¨ûŠúPûø‘þŽoý]ûþûý÷ úPùzýô‡ÿ3„ûù‘ô‡ûbÿÜýô‡ùzöù ô‡ôÿ@úPûAù‘‡þ ó÷ ›ô‡óy÷ ù‘ùzþ(û‡÷ô‡øzü ô‡÷@Sôø ó Ü÷@ö¦ø Š÷@ü‘ô‡ùzô‡óyø„ü1ùúPùzùzõŠ÷Šû @ûö(ô‡ùzûøzþŽüû÷ üzŽúñûóóy÷ ù$N‡÷ ó ô‡ù‘(üõ~÷3ôûõŠø ø‘@ô‡ö ý¨û‡ú ó(û0õûýø]ûú÷@óyõŠù]óŽúñö÷@ùzúPóô‡ø‘÷@‡ôô‡óŽü‘ó(÷@ü û¨ó(úñŽüSøUüz÷ô‡ö(ó Sø‘¬÷ üz@ûõÿ3ø„úPûûø]õ ø‘ú ôù
÷ ›‡úñ÷ ö(ö(ô­ø‘ú ú ÷ ‡yô ,ôúPõŠüùz(ô‡ô‡÷3ù ý„ùó þ(ôzü‘Üú÷ùzø]ùzoúñþ(ùzúPû!û ó 3ýô‡ûûóyü¦ù‘þ~ø]úP÷@ú óø!Söùzþ(úñû ùzÉþ¬û÷y÷@ý¨ýøú ÷3úó ô‡ø‘óÜ(û ù‘­ýûú ùnøz(ô‡÷3úúPù‘ø óÜô÷3(ö¦óbõŠ÷@ô‡÷ óyûSøzù ô‡ôý¨ù 1ú Uû û ô‡yùzùz÷@ö¦þ¬ó ûøzùzüô‡þ(õø‘õŠûûûóÜûùzù„õþŽúPù‘÷ûôøz÷3ô‡óù (¦ûŽüzûó(ýù ýø‘›ôùz¦ûô‡÷3ûû ó(óÉü$ùzùzþ(÷ø‘û÷ û(ó(ù]úñ÷3ô‡úùzóÌô‡y÷@ø úñó(ó ü
÷@ú ¦ö(ù‘÷ ô(õùSú ùz(þ(ü‘ûA÷ øz(ûü‘ù‘ù1ô÷3÷ó 6ùzÉþ(ûAû$üzö(ùzø‘ø„ûúPüzù‘ûû óÜ@ùô‡ûü þ(ô‡ý„þüzù‘ø]úPù‘û S÷@ø Üü ûüzù oúñü Sû UúPü1ü‘÷@õŠû1ô‡óyùzûø‘ûüzù‘ôó ý÷3õõûóÜù‘ü
%$
5
:
#
5
&
'
6
(
798
>8
!
#"
*)
,+
&:
&?
@" A
& :
9
&
% &.0/1243
" #5
B5
-
;
<5=
! &
<
CDFE>G?HJIKMLNOQPR&STOU7T@VXWYUOQPR*Z?SRB[FUF\>]W=^R<[V_4U``UabOQPFcedRBT&^R&Scf]gZhSTOR9_i=PFjRO%UFP1k
lmMmnIDFonpQq=rD=Kts'pQruvD1Nxwyi=Z?STOj^`Mz9U7Z;W=^T{O%dU7PFdk
|
},~b,€>ƒ‚(„ƒ…MJ†&~
‡#P‰ˆŠŠ=ˆ]‹`2VXŒ9^7T{f]7ŽM^WFOQ^=]Ž9dBiFj[FOf7^=]7^PF\h[=^PFc’‘2“”S•FR&SPF\=S\?RB[FSbW=TOQZ;^`2V#\i=^`,OQPR&ST{O%UFT@VXW=UOQPRw–Sa9V
R&U7Ph_U7T&Z?iF`Q^R&OU7Ph_TUFZ—`OQPFS^TbW=T{Uc7T&^Z(Z?OQPFc’RU’cSPFST&^`>PFU7PF`OQPFS^T˜W=T{Uc7T&^Z(Z?OQPFc]7^PF\SdRB^™F`OdB[FS\0`UFj^`
^PF\›š–V#œ=i=^\T&^R&Oj;jU7PžSTcSPFjSei=PF\=STd&RB^PF\^T\Ÿ^d&dBi=Z;WFRO%UFPFd*_U7T*wbSa–R&U7P1 ¡d*Z?SRB[FUF\>k;¢-U7TSUžST]RB[FSf
W=TSd&SPR&S\^*c`U7™=^`%O£^RO%UFP‰d&RBT&^RScfƒa˜[FOj[‰jU7PFd&Od&R&dAOQP^*`OQPFSd&S^Tj[W=TUFjS\i=TSxiFdO¤PFc(RB[FS9¥¦VXPFU7T&Z—T{Sd&O\FV
i=^`M_#i=PFjR&OU7P§U_RB[FS‰¨*^T&iFdB[VX¨*i=[=PVXŽMiFj©ST«ª¨*¨*Žb¬*jU7PF\=OR&OU7PFd;^dd&U7jOQ^RS\ŸR&URB[FSeW=T{U7™F`SZ­^dƒ^®Z?STOR
_#i=PFjR&OU7P1]J^PF\0^dbjSPRBT&^`ORfejU7PF\=OR&OU7P-^?dRB^PF\^T\Z?S^d<i=TS’iFd&S\OQP«_4S^dO¤™F`S?`OQPFS^T˜W=T{Uc7T&^Z(Z?OQPFck
‡@P-ˆŠŠ“Y]7¯*Tc!^
° S£ƒ^PF\0Žn^WFO¤^±‘³²”nW=TU7WYUd&S\´^?W=^R<[V_4U``UabOQPFc«W=T{O¤Z(^`2V#\i=^`nOQPR&STOU7T@VXWYUOQPR*Z?SRB[FUF\_U7T
PFU7PF`OQPFS^TƒW=T{Uc7T&^Z(Z?OQPFcµªwy¶>·A¬bR&U‰c`U7™=^`O£S;RB[FS'd&RBT&^R&Scf‰U_‹`2VXŒ9^FTf´^RyS`9‘³“”Xk˜Žb[FOdƒZ?SR<[FU7\-OQPR<TUV
\iFjSd’^®PFSa—jSPRBT&^`ORfŸTScOU7P1]>R<[=^R*Od’^TS`Q^•=^R&OU7P-U_¸R<[FS’jSPRBT&^`!W=^RB[1]n^PF\›^PFSa¹Z?ST{O%R_i=PFjRO%UFP
º@»n¼¼¾½³¼¿ÀÁ¿9Â=Ã#ÄŤƼ¼ÄÃ&ÇJÈMÆ@ÉÀÃ#¿ÀBÊ9Æ@Á¿ÄƒËƘÌ*À<¿ÆʉÀBÍ ¿¾½³ÎÀ<¼ÇJϐÁ½³Ð<Æ@Ã#¼¾½³ËÀ<ËËÆ@Ñ>ÒÀѡѳÆBÇ,»!Ó »!Ó=ÔBÕÖB×<ØÇÚÙ1ÀÑ¡½QÇ>Ù1Ä&ѳÄ<ÊÛ½³ÀÓ?Ü1ݽ³¼
ÀÞ¿¾ÝÄÃ!ß1ÀB¼¼¾ÞÉÉÄÃ#¿ÆXË'Ûà*ϐÁ½³Ð<Æ@Ã#¼¾½³ËÀ<Ë;ËÆ@ÑJÒ,À&ѡѳÆ<Ç=Ù1À&Ñ¡½QÇÙ1ÄѳÄ<ÊÛ½³ÀÇ=¿¾ÝÆbÙ1Æ@Á¿Æ@ÃÅQÄ&Ãá>ƼÆÀ&Ã#ÎÝhÄÁ’Â=ÀÃ#ÀѡѳÆ#Ñ>Ù1Ä<Ê!ÉÞ¿À<¿¾½³Ä&ÁFÇ
á1½³ÎÆ!ϐÁ½³Ð<Æ@Ã#¼¾½³¿àyÞÁËÆ#ÃMâãäåeÙ1ÄÄÉÆ@Ã#ÀB¿¾½³Ð<Æ9»næÃ#ÆÆXÊ9Æ@Á¿>ãMÄÓ1Ù>Ù1á1âçè&Ô&Ø<ØBØ<éÇÀÁË*ÈêMë«ìÃ#ÀÁ¿>ÈMëå=ìMØ©Õ{âé<×&â¾ëánÔ<Õ&Øè&íÓ
î Â=Ã#ÄŤƼ¼ÄÃ&Ç=ÈnÆ@ÉÀÃ#¿Ê9Æ@Á¿ÄÅnÙ1Ä<Ê!ÉÞ¿À<¿¾½³Ä&ÁÀ&ÑMÀ&Á˒»ÉÉÑ¡½³ÆË;Ì*ÀB¿¾ÝÆÊÀ<¿¾½³Î¼ÇÀÁË;Ù1Æ@Á¿Æ@Ã!Ä&ÅnáÆX¼ÆÀÃ#ÎÝ;ÄÁhÂ=ÀÃ#ÀѡѳÆ#ÑnÙ1Ä<ÊAâ
ÉÞ¿ÀB¿¾½³ÄÁ«Ù1áÂJÙMÇFá1½³ÎÆbÏ>Á½³ÐBÆ@Ã#¼¾½³¿¾à<ÇïnÄÞ¼¿ÄÁ7Ç=Ü=ÆðÀ<¼ÇYí<í<ÔBÕè#â@èXé<ç©ÔӘÜÚݽ³¼!ÀÞ¿¾ÝÄ&Ãbß1À<¼¼¾ÞÉÉÄÃ#¿ÆË?½¡Á?ÉÀÃ#¿MÛàƒÈêMë´ìÃ#ÀÁ¿
ÈMëå=ìMØ©Õ{âé<×&âë,ánÔ<Õ&Øè{íÓ
ñ ìÃ#ÀBËÞÀ<¿Æb¼¿¾ÞËÆ#Á¿Ç,ÈnÆ@ÉÀÃ#¿Ê9Æ@Á¿!ÄŐÙÚÄBÊAÉÞ¿ÀB¿¾½³ÄÁÀÑJÀÁË?»ÉÉÑ¡½³ÆË;Ì*À<¿¾ÝÆÊ9À<¿¾½³ÎX¼Ç,á1½³ÎÆbÏ>Á½³ÐBÆ@Ã#¼¾½³¿¾à<ÇJïMÄ&Þ¼¿Ä&ÁFÇ=Ü=ÆXðÀ<¼
í<íBÔ<Õè@â#èéBçÔÓJÜ1ݽ³¼nÀÞ¿¾ÝÄ&ÃMßJÀ<¼>¼¾ÞÉÉÄ&Ã#¿ÆËy½¡Á*ÉÀ&Ã#¿1Ûà–ÈòêMë‰ÈnëYâå=ìMØBÖâç<ÖBë,ánÔBÕè&í&éÇ7¿¾ÝÆòä©Ñ³ÄBÀÁ’åÄÞÁËÀB¿¾½³ÄÁ7ÇÀÁË*¿¾ÝÆóÆÎô
Ù1Æ@Á¿Æ@Ã>ÅQÄ&ÃÙ1ÄBÊAÉÞ¿À<¿¾½³Ä&ÁÀ&Ñõ,½³ÄѳÄBæ<àyÞÁËÆ@ÃöìÃ#ÀÁ¿MõÚ÷vá1âçÔ{â4Õ&×ÕéBØ9ÅÃ#Ä<ʛ¿¾ÝÆ!ãMÀB¿¾½³ÄÁÀÑäÎ@½³Æ@ÁÎÆ9åÄÞÁËÀ<¿¾½³Ä&ÁFÓ
ˆ
a˜[FOj[0j^P´™YS?j`¤^d&d&O2øS\›^d˜^‰Z?UF\=O2øS\›^iFc7Z?SPR&S\-¶>^c7T&^PFcOQ^P‰_#i=PFjR&OU7P1k*Žb[FS;PFSaùjSPR<T&^`ORXf0T{ScOU7P1]
d&U‰j^``S\Ÿœgi=^d&OnjSPRBT&^`³ú=W=^RB[1]1TSZ?UžSdyRB[FSƒc7T^\=OSPR*abORB[-TSd<W=SjR*R&U;R<[FShW=T{O¤Z(^`nž^TOQ^™F`SdƒU_!RB[FS;¶>^V
c7T&^PFcOQ^P'_#i=PFjR&OU7P;U_ÚR<[FS˜W=STR<i=T&™=S\¨*¨*ŽûjU7PF\=OR&OU7PFdk!Žb[FST{S<_4U7T{SbRB[FS*¶>^c7T&^PFcSbZ’iF`R&OQWF`OSTd*^d&d&UFjOQ^R&S\
abORB['RB[FS9Sœ=i=^`O%Rf'jU7PFd&RBT&^O¤PR&d^TSbPFSc`SjR&S\e^dòW=TOQZ;^Tfƒž^TOQ^™F`Sd!OQP'RB[FSOQT_4UFT&Z?iF`¤^R&OU7P1kŽb[FSbPFSatZ?STOR
_#i=PFjR&OU7PZ?UF\=O³øSdyRB[FS*^iFc7Z?SPR&S\¶>^c7T^PFcOQ^P(_#i=PFjR&OU7P^d&d&UFjOQ^R&S\abORB[(RB[FS*Sœ=i=^`ORXf‰jU7PFd&R<T&^OQPFS\U7WV
R&OQZ?O£^R&OU7P-W=TUF™F`%SZü™f0^\=\=O¤PFcRUeOR&dƒWYSP=^`RXf®R&ST&Zý^eWYUR&SPR&OQ^`TS\iFjR&OU7P±_i=PFjRO%UFPŸiFR&O`O%£S\§O¤Pµ`%OQPFS^T
W=TUcFT&^Z;Z?OQPFc®R&UŸ[=^PF\=`SRB[FS«WYSTRBi=T&™YS\tjU7Z(WF`%SZhSPRB^TORXf§jU7PF\=OR&OU7P1kŸ¯y`d&U]RB[FSf§O¤PRBTUF\iFjS\t^-PFSa
jSPRBT&^`ORfejU7PF\=OR&OU7P±RB[=^R9Od˜iFd&S\0^dy^’ZhS^dBi=TSyU_!W=TU•7OQZ?ORf;R&U?RB[FS*œ=i=^d&O1jSPRBT&^`2úgW=^R<[1k!Žb[FSƒZ?SRB[FUF\
jU7PFd&Od&RdOQP^W=WF`fFOQPFc«^`%OQPFSd&S^Tj©[±d&RBT&^R&Scf?RB[=^R9iFd&Sd9RB[FSxPFSaþZ?STORA_i=PFjR&OU7P‰RU’TS^j[(RB[FSOQT9jSPR<T&^`ORXf
jU7PF\=OR&OU7P«_4U7T–^'ø•7S\-W=STR<i=T&™=^R&OU7PW=^T^Z?SR&STk
ÿƒiFS(R&U0RB[FS‰W=TU7Z?Od&OQPFc›PFi=Z?STOj^`9TSdBiF`R&d?U_b¯xT{c!^
° S£e^PF\
\=S<øJPFS\.O¤P
ˆŠŠ
ŽM^WFOQ^´ZhSRB[FU7\>]·^T^\^^PF\
Žn^WFOQ^§‘Qˆˆ”
^PFURB[FST'Z?UF\=O³øS\.^iFc7Z?SPR&S\›¶>^c7T&^PFcOQ^P±_#i=PFjR&OU7PŸ^PF\.^PFSa—jSPRBT&^`ORf´jUFPF\=O%RO%UFP
^de^§Z?S^dBi=TSU_xW=TU•7OQZ?ORf
R&U-RB[FSœ=i=^d&ObjSPRBT&^`³ú=W=^RB[1ktŽb[FOdePFSa
¯*Tc!^° S£<úgŽM^WFOQ^-Z?STOR?_#i=PFjR&OU7P
OQP.RB[FSdSjU7PF\
TS\iFjR&OU7P´_i=PFjR&OU7PµabORB[®RB[FSePFU7T&Z
Z?STOR?_#i=PFjR&OU7P
R&ST&ZüU_˜R<[FS0W=SP=^`Rf›RST&Z
™f
\=O>STdh_TUFZ
RB[FS
TSWF`Q^jOQPFc›R<[FS«WYUR&SPR&OQ^`
d&œ=i=^TS\ŸU_!RB[FSeW=ST{RBi=T&™=S\§jU7Z;WF`SZ?SPRB^TORf0jU7PF\=OR&OU7P1]^PF\-RB[FSf
^`d&U;UF™FRB^OQPSPFjU7i=T^cOQPFcePFi=Z?STOj^`TSdBiF`R&dk
Ž–[FS;\=SR&ST&Z?OQP=^RO%UFP-U_¸^P-S>SjR&OžSeW=^RB[ú_4U``UabOQPFc0d&R<T&^R&Scf®Od’^P-UFW=SPŸTSdS^Tj[Ÿ^TS^‰OQP-cSPFST^`
PFU7PF`OQPFS^T0W=T{Uc7T&^Z(Z?OQPFc-_T{U7Z
™YURB[
RB[FS-RB[FSU7TSR&Oj^`*^PF\ûjU7Z;W=iFRB^RO%UFP=^`xWYUOQPR‰U_ƒžFOSaƒkùŽb[FSTS<_U7TS
RB[FS;UF™XSjRO%žS;U_bRB[FOd?aUFT&Od?R&UjU7PF\iFjR;^0PFi=Z?STOj^`9jU7Z(W=^TOd&U7P-U_¸\=O>STSPRƒU7WFRO%UFPFdƒRB[=^R'j^PŸ™YS
RB^SP0RU0TS^j[´^P-U7WFR&OQZ;^`dU`QiFR&OU7PŸ™=SRa9SSP-RB[=T{SShPFUR&OU7PFdƒU_bW=TU•7OQZ?ORf-R&USORB[FST*R<[FS’jSPRBT&^`!W=^RB[
U7T9œ=i=^d&OMjSPRBT&^`2VXW=^RB[1]YabORB[®RB[FS*RB[=TSS?Z?STORb_#i=PFjR&OU7PFd*RB[=^Rba9STS’iFd&S\-™f0‹ö`2VXŒ^7TfSR*^`!‘2“”]=¯xT{c!^° S£
^PF\0ŽM^WFOQ^=‘³²”·^T&^\^?^PF\0ŽM^WFOQ^0‘vˆˆ”nOQPRB[FSOQT9a9U7T&,k
§SƒW=TSd&SPRba˜[FOj©[±jSPR<T&^`ORXf‰jU7PF\=OR&OU7P®a9U7T&db™=Sd&R],^PF\a˜[FOj©[®Z?STOR9_#i=PFjR&OU7POdyRB[FSƒ™=SdR˜R&UFU`1R&U
TS^j[?RB[FOd9jSPRBT&^`ORf;jU7PF\=OR&OU7P1kŸS˜^`d&U;W=TSd&SPR!dU7Z?SyO¤Z(W=U7TR<^PRAjU7Z;Z?SPR&d9^™=U7iFRARB[FSyURB[FSTUFWFR&OU7PFd
OQZ;WF`SZ?SPR&S\>k
€>
'b€ý„9J†&~
ŸS*jU7PFdO%\=ST–RB[FS'cSPFST&^`>PFU7PF`OQPFS^T*W=TUcFT&^Z
OQPRB[FSy_U7T&Z
ZhO¤PFOQZ?O£S
ª,¬
d<i=™XSjR–R&U
Mª¬
ª{ˆ¬
"!#%$
a˜[FSTS&nª'¬(
ª*)ª¬+$-,-,.,/$0%1?ª¬&¬32´^PF\45$%67‡ 8:9<;
‡ 8']>=?ùˆ@$-,A,B$0C-]=ªDE!#C¬9^TSyRabOjS˜jUFPR&OQPFiFU7iFd&`f
\=O>STSPRO¤^™F`%S'_#i=PFjR&OU7PFdk
¯ùW=UOQPRF"G‡ 8
9
Od˜d<^O\0R&U;™=S'd&RBTOjR&`f‰_S^d&OQ™F`S*_U7TbW=TUF™F`%SZ
ªˆ¬AO2_Hnª'¬I;^PF\JJK#Yk
Žb[FSƒ¶>^c7T&^PFcOQ^P«_i=PFjRO%UFP0^d&dU7jOQ^R&S\a–O%R<[0W=TU7™F`SZ­ª{ˆ¬9Od
¥Aª'L$0MN$0O¬LIª¬?PQnª,¬
a˜[FSTSUMVG0‡ 8
1
^PF\WOW!XG0‡ 8
9
2
MSRT
2
O
ª²¬
^TSb¶>^c7T&^PFcS9Z?iF`%RO¤WF`OSTd˜^d&d&UFjO¤^R&S\?abORB['RB[FS9Sœgi=^`ORf;^PF\?O¤PFSœ=i=^`ORf
jU7PFd&R<T&^OQPRd]=TSdBW=SjRO%žS`%fk
²
Y[Z]\
^`_5acb@d(afeU_5gihjhTkmlonLp(gqb@qrn?p(s
tUFTvuwK#=]FRB[FSƒWYSTRBi=T&™YS\µ¨*¨*Ž
jU7PF\=OR&OU7PFdƒ^d&d&UFjOQ^R&S\abORB[®W=TU7™F`SZ
{|}
ª,¬*P
x[y1ª?$0MN$0O¬Lz
}
Mª¬MRjO
ªˆ¬9^TS
‚ƒ
nª,¬
ª„¬
I%$
~w€vRwuL€
ª?$0O¬K#
a˜[FSTS&~…
\=OQ^c>ª¬+$0Q
\=OQ^cJª'O¬†$0€:—ªˆ@$.,-,-,/$ˆ¬
Žb[FSeWYSTRBi=T&™=^R&OU7PŸW=^T&^Z?SR&STu
2
G0‡ 8:9k
U7PF`fŸ^.>SjR&d*RB[FS?jU7Z;WF`SZ?SPRB^T{O%Rf-jU7PF\=OR&OU7P‡~w€ˆ=ktUFTu‰ˆ=]
RB[FSd&S*jUFPF\=O%RO%UFPFdƒ^TSƒZ?STS`fRB[FSƒ¨*¨*Ž
jU7PF\=OR&OU7PFd*^d&d&UFjOQ^R&S\abORB[®W=TU7™F`SZ
ªˆ¬k
ŠƒH?‹j‹-D5Œ,rWiŽH-‘’”“0•—–&–o˜ˆ™0šf›5•@œ‘œžšf›%Ÿ‰ ]¡¢Q£@/j¤-’œž¥.£@¦§-›N‘<‘šX‘¨©Q›5™†ŸŸ”£@ªw™š@›5•fœž‘œš@›%Ÿ`«”šf¬‘¨
¦§š­£@0œ‘¨©®œ™S“£@œž.(Ÿ†’%“]¯°/š©“+¦±.®²£cŸŸ”š.™-œ£@‘0•`³œž‘¨¯°/š©“+¦§-®´ /µ¢f¶`˜¨©+Ÿ”:™0š@›N•@œ‘œžš@›·Ÿv¸¹/¯º‘¨œ‘-/£@‘+Ÿ£f³£@ª
«†»šf®¼‘¨©J“š@’›5•@£@œ†ŸW£@›5•E£@/V›5š@‘›5™†ŸŸ”£@œ¦±ª½£@›Qœž¦¦§¾@™š@›5•@œ‘œš@›5•VŸ”ª.Ÿ†‘-®¿š/«W0¤.’©£@‘œš@›·Ÿ+¶ÁÀ°½À°™-‘œš@›%Ÿ
¶ Â
Â
£@›5•
Â
¶A¡4š/«Ã&­F
£f
Ä †ÅUÆr¡Ç+¶
ŸS9™=^d&S!UFi=TnPFi=Z?STOj^`FS•gWYSTOQZ?SPRB^R&OU7P?iFd&OQPFc*RB[FS9W=STRBi=T™=S\;¨*¨*Ž.jU7PF\=OR&OU7PFd!^d^9jSPRBT&^`_#T&^ZhSaUFT&
R&UeW=T{U7Z?UR&Syc`U7™=^`jU7PžSTcSPFjSk
ȉDfÉHŒ>pQrpvHLŒËÊL̝iŠƒD5Œ,rIqu¾pvrBEjÍ(DÎJpvHLŒÌJÏ4S•fÐH›N&£W™-›5‘/£@¦§œ‘ªS/]­©œš@›o£ÑŸ0Ÿ†š-™.œž£@‘•³œž‘¨¯°/š©“†¦§-®… /µ¢<£cŸ
£@›NªS™š@¦ž¦§™-‘œš@›Wš/«Ò¯>š@œ›5‘ŸU‘¨©£@‘Ÿ†£@‘œAŸž«†ª&£@‘¦§0£cŸ†‘L‘¨©¯%-‘’©†“0•™š@®:¯°¦§-®-›N‘£@0œ‘ªS™š@›N•@œž‘œš@›V³œž‘¨eª?$0O¬K#Ó
¯>£f»£f®<.‘-œBņ•º“+ª&u(¶
T9?ÕÖSƒ&×ù†<~SØÚÙy€L9*(Øy†(Û
Ô
‡#PµRB[FOd*d&SjR&OU7P®a9ShW=T{Sd&SPR*UFi=T*W=[FO%`UdU7W=[f-U_b^eW=^RB[V_4U`%`UabOQPFc0OQPR&STOU7T@ú=W=UOQPR’w–SabR&U7P1 ¡d*Z?SRB[FUF\
^d˜^hc`U7™=^`O£^R&OU7PdRBT&^R&Scf;R&U;U7™FR<^OQP^P‰U7WFR&OQZ;^`d&U`QiFR&OU7PU_öW=TUF™F`%SZ
ªˆ¬k
ȉDfÉHŒ>pQrpvHLŒËÜL̝IÝyq=rcÞ°ßàHJu¾uQH=Gep'Œ*ÎIá1rIq=rDÎE*ÌVâLš@u#KIÓU£@›N•J³š@¸¹œ›@­`«”/š@®…‘¨oœ›5‘.0œš@;ª&ª?$0O¬K
¬ÓV£¯@¯°¦§ªQ£#¦§œ›5+Ÿ”£@/™†¨I r‘’fŸ”‘/r­œžšf›c¢jã&-³‘šf›°ä Ÿ¬®-‘¨©š.•#‘šX‘¨©4¯%-‘’©†“0•—–&–o˜ˆ™0š@›N•@œ‘œžš@›·Ÿ‰ ]š@J£f›
¤-’œž¥.£@¦§-›5‘Ÿ”ª.Ÿ†‘-®:¢º’›5‘œ¦‘¨©4œ‘-/£@‘V£@0œ¥-†ŸV‘š¬£ÁŸr¯%0™.œ Ðv0•`¯*»šÑ幜®<œ‘ªJ‘šE‘¨©4™-›N‘/£@¦§œž‘ªV/r­œžš@›*¶w˜¨-›
•@™-/£cŸ”:uÓ(Ÿ]¯>™-œ «”ª£V›5-³æ¯°/šc幜®œž‘ª.Óv£@›5•V//¯>£@‘‘¨©¯°/š-™†ŸŸ-¶
Í(D5‹-qIcçQÜL̝éè›5•@.S£¯f¯°/š¯°œž£@‘4™š@›N•@œž‘œš@›·Ÿ0Ó(£@›‡š¯°‘œ®<£f¦Ÿ”š@¦§’‘œžšf›w³œž¦¦“Wš“†‘£@œ›5•4£cŸuI£”¯@¯°/š-£@™+¨©†Ÿ
ņ-/š©¶
ŽU’OQZ;WF`SZ?SPRyRB[FOdbd&RBT&^R&Scf]Fa9SxPFSS\R&U?d&R<^R&SyRB[=TSSƒW=TOQZ;^T{feOd&dBiFSdy^Z?U7PFc?URB[FST{dktO¤T{d&Rb^?jSPR<T&^`ORXf
TScOU7P1]dSjU7PF\=`fh[FUa.j`Ud&S9a9S!ab^PRnR&U*Z?UžS!^™YU7iFR!^–jSPRBT^`O%Rf?TScOU7P1]^PF\'RB[FOQT\;a˜[=^RMZ?STORM_i=PFjRO%UFP
PFSS\=dyR&Ue™=SƒiFdS\0R&U;UF™FRB^OQP‰RB[FSƒW=TU•FO¤ZhO%RfkŸSƒ^\=\TSddbRB[FSd&S*Od&dBiFSd*OQP±RB[FSƒPFS•7R–dBi=™Fd&SjR&OU7PFdk
êZ]\
lo_NpLb@a@ë*ìrq'b†íïîE_%ð[q]nLp(s
Žb[FSyj©[FUO%jSyU_n^*jSPRBT&^`%ORfeTScO%UFP;WF`Q^fFdb^P?OQZ;WYU7TRB^PRT{U`S˜OQP(RB[FS˜OQZ;WF`SZ?SPRB^RO%UFP‰U_n^ƒW=^RB[ú_4U``UabOQPFc
d&RBT^R&ScfkŸSƒW=TSdSPRbRa9U?jSPR<T&^`ORXf0T{ScOU7PFdbRB[=^R9a9S*OQZ;WF`SZ?SPR*O¤P±RB[FSƒW=^RB[ú_4U``UabOQPFcedRBT&^R&Scfk
„
ÜL̝*̝
ŠƒDNŒrIqu(Ýyq=rcÞ
‡#P‰R<[FSO¤T–c`U7™=^`O£^R&OU7P±d&RBT&^R&Scf]7‹ö`2VXŒ^7TfSRb^`‘³“”iFdS*RB[FSƒW=STR<i=T&™=S\-¨*¨*Ž
^jSPRBT&^`%ORfŸTScOU7P1k‰Žb[FOd’PFUR&OU7PµO%d?\=S<øJPFS\
W=ST{RBi=T&™=S\-¨*¨*Ž
jUFPF\=O%RO%UFPFdxW=^T^Z?SR&STO£S\-™fVuwK#=]=Ok¡Skv]
òó
}
ª,¬LP
}
y
ª'
Ý Ý Ý
y
$M y
$0O y
¬]1U_bRB[FS
õö
Mª¬M`RwO
nª'¬
ô
Ý
jU7PF\=OR&OU7PFd*^d˜^?PFUR&OU7P‰U_
^d*RB[FS;jU`%`SjR&OU7P.U_¸dU`QiFR&OU7PFd][ñ
ªø7¬
I
÷
~w€UREuL€
ª?$0O¬K#%,
Žb[FOdbPFUR&OU7P?Odb^P?S•FR&SPFd&OU7P‰U_JRB[FSyjSPR<T&^`W=^RB[’_TUFZù`OQPFS^TbW=TUcFT&^Z;Z?OQPFc*R&U?PFU7PF`OQPFS^TbW=TUcFT&^Z;Z?OQPFc
RB[=^R9OQP=[FSTOR&d*RB[FSy_U``UabOQPFc«^\=ž^PRB^cSd-7
ˆkb¨ySSWFd˜RB[FS*OR&ST^R&Sd˜^ab^f?_T{U7Z
RB[FSĪ=U7i=PF\^TOSdk
²Ykb·!TU7ZhUR&Sd9c`U7™=^`>jUFPžST{cSPFjS*abORB[PFU7P±O%``2V#jU7PF\=OR&OU7PFS\.d&fFd&R&SZ?d9U_Sœgi=^R&OU7PFdk
‡#P®PFU7PF`OQPFS^T˜W=T{Uc7T&^Z(Z?OQPFc]=RB[FOd˜PFURO%UFP0[=^dbR<[FSy_4U``UabOQPFce\=OdB^\=ž^PRB^cSd.7
ˆkvtJ^Tö_#TU7Z
RB[FS*dU`QiFR&OU7P1]J^?WYUOQPRyOQPRB[FS*jSPRBT&^`MW=^RB[(_U7T9^;W=^TR&OjiF`Q^T:u›Z;^fePFUR–S•7Od&Rk
²YkU89SœgiFOQTOQPFcOR&ST&^R&SdbR&U;™=S'j`Ud&S\0RU;RB[FS*jSPRBT&^`>W=^RB[®Z;^Sd9RB[FSƒ^`%cU7TORB[=Z
ÜL̝*ÌBÊ
œgiFOR&S'S•gWYSPFd&OžSk
ùVúJqLpUŠ'D5ŒrIquAßÝyq=rcÞ
ŽU*UžSTjU7Z?SARB[FS!\=OdB^\=ž^PRB^cSdAU_RB[FS9jSPR<T&^`2úgW=^RB[1]¯*Tc!^
° S£^PF\;ŽM^WFOQ^;‘³²”W=TSd&SPR&S\e^yTS`Q^•7S\‰PFUR&OU7P
U_9RB[FS?jSPRBT^`òW=^RB[-^dx^‰jSPRBT&^`%ORf´T{ScOU7P1k’‡@P®RB[FSOQT*c`U7™=^`O£^R&OU7Pµd&RBT&^RScf]R<[FSf0\=S<øJPFS\.RB[FS;PFUR&OU7P
U_œgi=^d&O1jSPRBT^`2VXW=^RB[0^dbRB[FS*jU``SjR&OU7P®U_!W=UOQPR&d˜W=^T&^Z?SR&STO£S\´™fVuwK#?dBiFj[RB[=^R
û
nª'¬
~w€UREuL€Áü
ª?$0O¬K#%,
݃IH*ýMHJLpvrpvHLŒþÜ?̝ÿ˜¨©¤-’£cŸ†œ™0.›5‘/£@¦B¯%£@‘¨4œBŸS¤-’œž¥.£@¦§-›N‘‘š4‘¨©W/r­œžšf›Jš/«&Ÿ†‘0œ™-‘¦§ªv«†£cŸ”œ“†¦§¯>š@œ›5‘Ÿ-¶
·!T{U7U_&ktU7TuwK#=]%nª,¬I%$~恀UËuL€]^PF\JL$OK#?OdyRBTOž7OQ^``f0Sœ=iFOž^`SPR*R&UWnª,¬I;^PF\J"K#=k
Žb[FOdyjSPRBT^`O%RfTScOU7P®[=^dbRa9UhZ(^OQP^\=ž^PRB^cSd-7
ˆkbwbS^TARB[FSyd&U`QiFR&OU7P1]Ya˜[FSTS*RB[FSyjSPR<T&^`>W=^RB[(Odba9S`%`1\=S<øJPFS\>],RB[FSyœgi=^dOJjSPRBT&^`³VXW=^RB[‰RB^Sd9^\=ž^PV
RB^cSyOQP‰øJPF\=OQPFc0^;W=UO¤PRbOQPR<[FO%d*TScOU7P‰dO¤PFjS?ORbOdy`%SddxTSdRBTOjR&OžS*RB[=^P‰R<[FSƒjSPRBT&^`>W=^RB[1k
²YkvtJ^T_#TU7Z
RB[FSdU`QiFR&OU7P1]9a˜[FSTS®aS\=UFP1 ¡ReFPFUa
jSPRBT^`2VXW=^RB[
O2_ƒRB[FS®jSPRBT^`bW=^RB[.Odea9S``b\=S<øJPFS\>]–RB[FSœgi=^d&O
W=TSd&SPR&de^µ\T&^Z;^RO%j-^\=ž^PRB^cSedO¤PFjSŸ™f
jSPRBT^`2VXW=^RB[‰Od(&iFd&R˜^hd&RBTOjR&`f(_4S^dO¤™F`S;W=UO¤PRk
ø
·ATU7WYUd&OR&OU7P#„YkQˆ^ŸW=UOQPReUFP.RB[FSœgi=^d&O
êZ'Y
^Wafn
q
qb†í#b@nXb(_—lo_5p?b@a@ë*ìrqb†íiî¬_·ð[qrn?p
OQPFjS›™f._4U``UabOQPFc›R<[FS0jSPRBT&^`*W=^RB[
U7T?RB[FS®œgi=^dO˜jSPRBT&^`2VXW=^R<[
R&U
TS^j[
^P
UFWFR&OQZ;^`yd&U`QiFR&OU7Pûj^P
Z;^SbRB[FSyd&RBT&^RScfƒœ=iFOR&S˜S•=W=SPFdO%žS]=a9S˜W=TSd&SPR9d&U7Z?S˜ZhS^dBi=TSdAU_n[FUaûj`Ud&Sƒ^P?OQPR&STOU7T@VXWYUOQPR–O%dA_#TU7Z
dB^RO%d{_4fFOQPFc0RB[FSd&S?jSPRBT&^`ORf´TScO%UFPFdk
W=SjO2øj^``f]a9S;iFd&S;RB[=TSS?\=O>STSPR’PFUR&OU7PFd*U_¸W=TU•FO¤ZhO%Rf®R&URB[FS
jSPRBT&^`ORf0TScOU7PR<[=^Rb‹`2VXŒ9^7T{fSRx^`‘³“”X]F¯xTcA^
° S£’^PF\0ŽM^WFOQ^®‘³²”X]=^PF\-·^T&^\^?^PF\-Žn^WFOQ^®‘Qˆˆ”òiFd&S\®OQP
RB[FSOQT–c`U7™=^`O£^R&OU7PdRBT&^R&ScO%Sdk
ÜLÌBÊ?̝
݃IHnp'‹ŸpQr<E›rH.rcÞ1DwŠƒDNŒrIquvÝyq=rcÞ
‹`2VXŒ9^FTfSR˜^`‘³“”òiFdS\0RB[FSy_U``Ua–O¤PFc‰OQPFSœgi=^`%ORf
ZhO¤PMª~w€¬v!
O
2
$
EG›ª·$ˆ¬
ªzˆ¬
D
^d*^eZhS^dBi=TS'U_W=TU•7OQZ?ORf0RU;RB[FS?jSPR<T&^`nW=^R<[1k˜Žb[FOd*OQPFSœgi=^`%ORf-Od*aS``7PFUa˜P®OQP®RB[FS’^TS^;U_!`%OQPFS^T
W=TUcFT&^Z;Z?OQPFckŸS'\=SPFUR&S*RB[FOdyjSPR<T&^`ORXf‰jU7PF\=OR&OU7P-™f«z*ˆk
ÜLÌBÊ?ÌBÊ
݃IHnp'‹ŸpQr<E›rH.rcÞ1DwùVúJqLpŠƒDNŒrIquBßÝyq=rcÞ
¯*Tc!^° S£b^PF\;ŽM^WFOQ^?‘³²”^PF\e·^T&^\^˜^PF\;ŽM^WFOQ^?‘Qˆˆ”OQP?RB[FSOQTc`%UF™=^`O%£^R&OU7P?d&RBT^R&ScfƒW=TSdSPRRB[FSA_U``Ua–O¤PFc
OQPFSœgi=^`%ORf
Mª¬ ¦
P
)
ª
~恀vRwuL€¬ ¦
u$
G›ª'%$ˆ¬
^d˜^(Z?S^dBi=TS*U_öW=TU•FOQZ?ORXf‰R&U?RB[FS'œgi=^dOJjSPRBT&^`³VXW=^RB[1]=a˜[FSTS'RB[FS*a9SOc7[RO¤PFcZ;^R<TO•
ª
~æy¬
‡
¯xTcA^° S£<VXŽn^WFO¤^
ªz–²¬
·^T&^\^VXŽM^WFOQ^
ªz:„¬,
Od˜cOžSP™f
Žb[FS;¯*Tc7^S£<VXŽn^WFOQ^±O%d;^‰a9SOc7[R&S\›W=TU•FO¤ZhO%RfŸZ?S^d<i=TSe^PF\ŸOd?\=SPFUR&S\.^d’zb²Y]>^PF\›R<[FSe·^T&^\^VXŽn^WFOQ^
W=TU•FO¤ZhO%RfZ?S^dBi=T{S*O%d*^Pi=Pa9SO%cF[R&S\®jSPR<T&^`ORXf‰jU7PF\=OR&OU7P®\=SPFUR&S\0™f0zU„=k
êZê
w–Ua
ÜLÌBÜ?̝
´_Na@qbd(pb@qrnLps
aS*W=TSd&SPRyd&U7Z?SƒZ?ST{O%R¸_i=PFjR&OU7PFd*iFd&S\-^d9R&U7U`%dyR&U;TS^j[‰jSPRBT&^`ORfjU7PF\=OR&OU7PFdxzˆ]=zb²=]^PF\0z:„=k
C0C®s´Í(DgLpKÒúJqu:àúŒ!rpQH?Œ
ŽU;U7™FRB^OQP‰jSPRBT&^`ORfjU7PF\=OR&OU7P0zˆ]‹`2VXŒ9^FTf‰SR˜^`!‘³“”òiFdS\0RB[FSƒ¨*¨*ŽþTSd&O\i=^`1_#i=PFjR&OU7P±cOžSP0™f
"ƒªñF¬
a˜[FSTSSx;ª'ñ7¬I?^TS*RB[FS?¨*¨*Ž
²
ˆ
x;ªñF¬ ¦
ª¾¢
jU7PF\=OR&OU7PFdy_U7T9W=TU7™F`SZ
ª{ˆ¬kŽb[FOdb_#i=PFjR&OU7P±O%dy\=SPFUR&S\0™f¢
Žb[FOd*Z?STOR9_#i=PFjR&OU7P0[=^d–RB[FS*_U``Ua–O¤PFc(O¤Z(W=U7TR<^PRyW=TU7W=ST{RXf*7
“
ˆ¬
ˆk
ª·bˆ¬VtU7T^Pf?OQPR&ST{O%UFT@VXW=UOQPRñS
ªL$M5$O¬]RB[FS˜w–SabR&U7P?dR&SW$#½ñ*Odb^*\=Sd&jSPR9\=O¤T{SjR&OU7P(_4UFTMRB[FSxT{Sd&O\i=^`
_i=PFjR&OU7P%"ƒªñF¬ö_4U7TAdBWYSjO2øj’j[FUOjSdyU_ u ]=Ok¡Skv]
"'ªñ7¬ 2
}
O
#½ñ'&#
x;ªñ7¬ u(&
·!T{U7U_&k
¦
,
O
2
SS’‹ö`³VXŒ9^FTfSR˜^`ò‘2“”k
)
ÜLÌBÜ?ÌBÊ
lI.Î+q=* D,@ß&s!q5ýMpvq‰àÒú[Œ-rpvHLŒ
y
ŽUeU7™FR<^OQP0jSPRBT&^`%ORf0jUFPF\=O%RO%UFPŸzb²=],¯xT{c!^° S£’^PF\µŽM^WFOQ^-‘³²”W=TSd&SPR*^eZ?UF\=O2øj^R&OU7P-U_!RB[FS;^iFc7Z?SPR&S\
¶>^cFT&^PFcOQ^P±_#i=PFjR&OU7PŸ^dƒ^Z?ST{O%Ry_#i=PFjR&OU7P-RU0™=S;iFd&S\ŸOQP-RB[FSOQTc`U7™=^`O£^R&OU7P-d&R<T&^R&Scf]>^PF\´Od'\=S<øJPFS\
™f
)
y
ª'L$0O
MN$/.=¬°
¥–ª?$0MN$0O¬NP0.1"
y
ªL$O¬
ª¾¢Ÿ²¬
a˜[FSTS–¥ªL$M5$O¬O%d–RB[FSx¶^c7T&^PFcO¤^P?_#i=PFjR&OU7P^d&dU7jOQ^R&S\‰abORB[‰W=TU7™F`SZ­ªˆ¬].?Odb^’PFUFP=PFSc7^R&OžS*W=SP=^`Rf
W=^T&^Z?SR&ST]=^PF\2"Uy1ª?$0O¬öO%dyRB[FSƒWYSP=^`RXfRST&Zk!Žb[FSƒWYSP=^`RfR&ST&Z
"
ˆ
ª?$0O¬
y
nª'¬ 2
²
nª'¬LPQ
2
O&REu
3
9
OdbcOžSP®™f
`QPƒª·6
O+64¬+$
654L)
a˜[FOj[‰O%d–jU7Z;W=Ud&S\U_nRB[FS*dœgi=^T{SxPFU7TZ
U_nRB[FSySœ=i=^`O%RfjU7PFdRBT&^OQPR&db^PF\«^?FPFUa˜PW=URSPR&OQ^`>TS\iFjRO%UFP
_#i=PFjR&OU7P1kŽ–[FO%dyZ?STORb_#i=PFjR&OU7P±O%dy\=SPFUR&S\0™f‰¢µ²Yk
ÜLÌBÜ?ÌBÜ
6
ŽU›U7™FR<^OQP
ÝyqIqK>q%ß&sAq5ýnpvqQàúŒ!rpQH?Œ
y
jSPRBT&^`ORf
jU7PF\=OR&OU7P
zU„=]b·^T&^\^Ÿ^PF\
ŽM^WFOQ^û‘Qˆˆ”W=T{Sd&SPR^PFUR<[FSTeZ?UF\=O2øS\
^iFc7Z?SPR&S\
¶>^cFT&^PFcOQ^P(_#i=PFjR&OU7PcO%žSP0™f
6
y
ªL$M5$O
.7¬?û¥–ª'L$0MN$0O¬5P0.7
a˜[FSTS*R<[FS’W=SP=^`%RfR&STZ—Od
7
Žb[FSƒWYSP=^`RXf‰R&ST&Z
y
ª?$0O¬
¦
Mª¬ y
ª?$0O¬
~恀UREuL€
P
ª4¢æ„¬
¦
,
OdbjU7Z(W=Ud&S\U_òRB[FSyd&œ=i=^TSƒPFU7TZ—U_nRB[FS*Sœ=i=^`O%Rf‰jU7PFd&RBT^OQPR&db^PF\R<[FS*d&œgi=^TSxPFUFT&Z
U_1RB[FSbW=STRBi=T™=S\;jU7Z(WF`%SZhSPRB^TORXf'jU7PF\=OR&OU7P1k98*™Fd&ST{žS9RB[=^RMRB[FS9\=O>STSPFjS*™=SRa9SSP'¢Ÿ²˜^PF\?¢w„–O%dARB[FS
d&SjU7PF\(R&ST&ZþU_1O%Rd!jU7T&T{SdBW=U7PF\=OQPFc;W=SP=^`%Rf?R&ST&ZhdkM¢´ST{O%RM_#i=PFjR&OU7P(¢w„˜TSWF`Q^jSd9RB[FSyW=UR&SPR&OQ^`TS\iFjRO%UFP
_#i=PFjR&OU7POQP¢Ÿ²?a–O%R<[‰RB[FSƒPFU7T&Z
dœgi=^T{S\0U_nR<[FS’W=ST{RBi=T&™=S\®jU7Z;WF`SZ?SPRB^TORf‰jU7PF\=OR&OU7P1k
Žb[FSƒZ?UF\=O2øS\Ÿ^iFc7Z?SPR&S\0¶>^cFT&^PFcOQ^P(_#i=PFjR&OU7PFdy¢µ²(^PF\¢w„;[=^žS˜Ra9U?OQZ;W=U7T{RB^PR˜W=TU7WYSTR&OSd-7
ª·bˆ¬VtU7TuiK
0^PF\§ø•FS\>k0‡¾_ñ
y
Ý
Ý Ý Ý
­ª
$0M
y
y
Ý
·!TUFU_&k
y
Ý
y
dB^RO%d{øSd
^Tc7Z?OQP=)
y
Ý
¬*dB^RO%d{øSd’R<[FSeW=STR<i=T&™=S\t¨*¨*Ž
$0O y
dBi;:ejOSPR`%f`Q^T{cS<.eR<[FSƒW=TOQZ;^`>d&U`¤iFRO%UFPJ
^Tc7Z?OQP=6
y
y
ª'
ª
Ý Ý
Ý Ý
M y
M y
$O y
$0O y
$/.= $
$/.= ,
SS'¯xT{c!^
° S£ƒ^PF\0ŽM^WFOQ^‘³²”^PF\0·^T&^\^?^PF\0ŽM^WFOQ^®‘Qˆˆ”Xk
>
jU7PF\=OR&OU7PFd]öRB[FSP-_U7T
ª·!²¬VtU7TuwK#?^PF\‰ø•FS\>k!Žb[FSƒw–SabR&U7P(d&R&SW1]#Wñ,]FU7™FRB^OQPFS\‰_#TU7Z
RB[FSƒWYSTRBi=T&™YS\´¨*¨*Ž
jU7PF\=OR&OU7PFd*^R
^POQPR&STOU7T@VXWYUOQPRñoýªL$M5$O¬9Odƒ^‰\=Sd&jSPR*\=O¤T{SjR&OU7P®_U7T1.®dBi;:ejOSPR&`f´`Q^T{cS?O³_b^PF\-U7PF`f-O³_9RB[FS
W=UOQPRñ;Od*PFURbU7P‰R<[FS*œgi=^dO>jSPR<T&^`2VXW=^RB[1]=Ok¡Skv]
)¼yª'ñ
}
6
}
·!TUFU_&k
ªñ
.g¬ 2
#½ñ'&#%$
#Wñ?&#%,
SS'¯xT{c!^
° S£<VXŽM^WFOQ^‘³²”ò^PF\-·^T&^\^VXŽM^WFOQ^‰‘Qˆˆ”Xk
T9?ÕÖSƒ&×ù†<~SØBA
@
y
2
.g¬
ؘ–€>†LÕ
Û
‡#PµRB[FOdƒd&SjR&OU7PµaS;W=TSdSPR*Ra9Uec`%UF™=^`!^`cU7TORB[=Zhd*U_RB[FS;W=TOQZ;^`³úF\i=^`!OQPR&STOU7T@úgWYUOQPR?^`cU7TORB[=ZüW=TS<V
d&SPR&S\e™fe‹`2úgŒ9^FTf?SR^`>‘³“”Jay[FO%j[(O%db^*W=i=TSyS•FR&SPFd&OU7P(U_>RB[FSba9S``ڍFPFUa˜P;W=TOQZ;^`³úF\i=^`OQPR&STOU7T@úgWYUOQPR
^`cU7T{O%R<[=Z
_U7T–`%OQPFS^T'W=TUc7T^Z;Z?OQPFc]1W=TSd&SPR&S\-OQP›ˆŠC
™f0¨yUfXOQZ;^=],¢-O£i=PFU0^PF\EDUdB[FOd&S‘³Š”X],R&UPFU7PV
`OQPFS^TƒW=TUc7T&^Z;ZhO¤PFc,kƒŒAURB[-^`cU7TORB[=Zhdx^T{Sh^‰\^Z;W=S\Ÿw–SabR&U7P1 ¡dƒZhSRB[FU7\-abORB[®`OQPFSd&S^Tj[.^W=WF`O%S\.R&U
RB[FSƒWYSTRBi=T&™YS\µ¨*¨*Ž
jU7PF\=OR&OU7PFdk9Žb[FS*øJTdRbU7PFS*Odx^h`%OQPFSd&S^Tj©[±c`U7™=^`O£^R&OU7P®U_RB[FS*`U7j^`nW=TOQZ;^`2ú7\i=^`
OQPRSTOU7T@úgWYUOQPR?Z?SRB[FUF\-_4UFT*PFU7PF`O¤PFS^T’W=T{Uc7T&^Z(Z?OQPFcO¤PRBTUF\iFjS\
OQZ;WF`SZ?SPR&OQPFc´iFd&OQPFc0Z?STOR–_i=PFjRO%UFPFd*¢
™f
¯xTcA^
° S£´^PF\
Z?STOR9_#i=PFjR&OU7PFdy¢
Žn^WFO¤^
™f-‹`2úgŒ9^FTf-SRƒ^`b‘³“”a˜[FOj[-a9S;^TS
ˆ]¢Ÿ²=]^PF\´¢w„=kbŽ–[FSƒd&SjU7PF\-U7PFS'Od*RB[FS’^`cUFTORB[=Z
‘2²”*a˜[FOj[ta9S0^T{S0OQZ;WF`SZ?SPR&OQPFctabORB[ûjSPRBT&^`ORf
jU7PF\=OR&OU7P
zb²›^PF\
W=T{Sd&SPRS\
zU„.^PF\
ˆ]F¢µ²Y]^PF\¢w„=kŒAURB[^`cU7T{O%R<[=Z?d˜^TSƒW=^RB[ú_U``%UabOQPFc‰d&RBT&^R&ScOSdbd&OQPFjSƒR<[FSfedB^R&Od_4f
ÿ*S<øJPFOR&OU7P›ª'„=kQˆ¬k
luAÎHJIpvrcÞ[‹
á1rD>ý

°Ì`À*-¦§0™.‘£4®-œž‘·«”’›5™.‘œžš@›%Fwµ.ÓGF
¶
Â
Ó(šf<F¬¡¶IH(š@›%Ÿ†œ•@-£@›Eœž›Nœž‘œ£@¦Lœ›5‘.0œš@JB¯%š@œž›N‘
ñLK—ªMK-$MLK.$0ONK&¬-¶IH¨š-šcŸ†1O($QPL$
á1rD>ýËÊLÌ`âLš@¸RScÓ'µ¹Ó Â
Ór¶¶ž¶¶B’›5‘œ¦L™š@›5¥.-­©.›5™&•@š
á1rD>ýËÜLÌ?H¨š-šcŸ†<
UT`G›ª%$ˆ¬†$u-TV
UT=ªNWYX[Z]\/^ †
¬ ,
9
á1rD>ý`_[Ì`À*š@¦§¥-‘¨©¦§œž›N0£@Ÿ†ª.Ÿ”‘.®
x<aªñ]T¬/#½ñLT:²RUx
á1rD>ýdcLÌ4 eF¬£@œ›5‘£fœž›VQ£@›5•O
yNb
ªñ]T¬†,
¯>šcŸ†œž‘œ¥-3¢f¶fH¨©š.šcŸ†hgT`G›ª·$ˆ¬£@›N•WŸ†-‘ji¬
®<œ›Jª{ˆ@$kgTmi
l ¬
³¨©-/
R*ˆ
i"
l
²®œž›<
®œ›Jª~
T
)
R*ˆ
#½UT@$.R*ˆ¬
$
®œž›1ª
)
T
#WONT@$.R*ˆ¬n
,
á1rD>ýdoLÌ4 'À°‘3¯°¦§-›@­‘¨WŸ†-¦§0™.‘œžšf›c¢©¶H(š@®:¯°’‘EiT
p
G›ª%$qi1”Ÿ†’©™+¨J‘¨©£@‘
®œ›ª~tª]i>
p ¬?ª]iM
p ¬€¬v!
ª
Mª]i>
p ¬/2LOªrin
p ¬
¬+,
D
á1rD>ýts°Ì4 'À°’Ju#™-œ-›N‘(•@™-/£cŸ”3¢f¶â(œ›5•'i
T
`Pv]iI
p
³¨-/W‘(œAŸ<‘¨Ÿ”®£@¦¦§†Ÿ†‘N¯>šcŸ†œ‘œž¥.Wœž›N‘r­-:Ÿ”’™†¨J‘¨£@‘9i
Ÿ”£@‘œAŸÐH†Ÿ
FIw yNb
ªñ]TvPijT[#Wñ]T¬
F+w y[b
ªñ]T¬LPijTNO
}
FIw y[b
ªñ]T¬
2
#½ñLTf,'xzy
ûû S÷@õŠõûóyù
|{
-}[~
T
á1rD>ýdLÌ`À*-‘[ñ
T
Iñ
ŠƒH?‹j‹-D5Œ,r<Ê
T
T #Wñ T
P`i
ˆcÓo‘¨©T£@¦
šf€i
â
,
œAŸ¬‘¨4¯°œ®<£f¦±¾f•@’©£f¦Sœ›5‘-œš@0¾”¯>š@œ›5‘ã&-³‘šf›°ä Ÿæ®.‘¨©š-•Xœž›m
­©šf0œ‘¨©®
‘/š-•@’™0•j“+ªE‚H¦Qƒ£Ñ¸¹ªw-‘&£@¦Æ…„]Ç-¶XâLš@€Q
²%$0„Q‘¨J£@¦
«†š@0®’¦§£@‘œžšf›°¶‡†0›"‘¨©†Ÿ†™0£cŸ††Ÿ&‘¨©£@¦ ­©šf0œ‘¨©®
’@Ÿ††Ÿ&‘¨©®š-•@œ ÐH•o£f’-­®<.›5‘•'ˆL£†­/£@›@­œž£@›"®-œž‘·«”’›5™.‘œžš@›·Ÿ
­©šf0œ‘¨©®
œBŸ4£j®š.•@œ Ðv™0£f‘œžš@›Xš/«?‚H¦ƒU£c¸c0ªw.‘S£@¦ä Ÿ
¯°/†Ÿ†-›N‘0•V“†ªÃ&­F£@
Ä +Åk†˜*£¯°œ£W£@›5•VŽv£@/£@•@£]†˜*£¯°œ£cÓH/+Ÿr¯%0™.‘œž¥.-¦§ª@¶S˜¨<™+¨©š@œ™0š/«‘¨©¯%-›5£f¦±‘ªF¯>£@/£@®-‘.1.NÓ
’fŸ”•o‘š«†š@/™S£4•@+Ÿ”™-›N‘•@œž/™-‘œš@›%Ó(œAŸ&™0£@¦§™.’©¦§£@‘•o£ÑŸSœž›4Ã&­F£f
Ä †Åq”˜*£¯°œ£SÆ Â Ç-¶
w–Uaùa9S;W=TSd&SPR*¯y`%cU7TORB[=Z­²‰ay[FO%j[®_U``Ua–dƒRB[FS?œ=i=^d&OjSPRBT&^`2VXW=^RB[µ\=S<øJPFS\›OQPw„=kvˆk³²‰^dƒ^‰jSPR<T&^`ORXf
TScOU7P1k
luAÎHJIpvrcÞ[‹
á1rD>ý
Ê
°Ì`À*-¦§0™.‘£4®-œž‘·«”’›5™.‘œžš@›%Fwµ.ÓGF
š@<FE¡©¶:À°.¦§0™.‘™0.›5‘/£@¦§œž‘ª™š@›5•fœž‘œš@›0H
H(š@›%Ÿ†œ•@-£@›Eœž›Nœž‘œ£@¦Lœ›5‘.0œš@JB¯%š@œž›N‘[ñ]Kv—
ªMK-$MLK+$0O[<
K ¬-¶fH¨©š.šcŸ”O($QPL$
¶
á1rD>ýËÊLÌ`âLš@1ŠW
Â
Â
š@‰H(¡©¶
%$ˆ@$<²%$-,†,†,N’©›N‘œž¦?™0š@›N¥-.ž­-›N™0&•@š
á1rD>ýËÜLÌ?H¨š-šcŸ†<
EG›ª%$ˆ¬†$u
T
K#%,
á1rD>ý`_[ÌI‹v/¯>£@‘
ø5,QˆÀ*š@¦§¥-S‘¨W¦§œž›N0£@:Ÿ†ª-Ÿ†‘-®
ø5,³²w eF¬£@œ›5‘£fœž›Vj£f›5•WO
ª ñ]T¬/#½ñLT:²RUx
a x
yNb
ªñ]T¬†,
¯>šcŸ†œž‘œ¥-3¢f¶fH¨©š.šcŸ†hgT`GŸª%$ˆ¬&£@›N•WŸ†-‘<i¬
p
®<œ›ªˆ@$qgTMin
l ¬
³¨©-/
i"
l
²®œž›
R*ˆ
®œ›Jª~
)
T
ûû S÷@õŠõûóyù
R*ˆ
T
#½
$.R*ˆ¬
$
®œž›1ª
T
)
#WO T
$.R*ˆ¬
,
n
ø5,„J 'âLš@/™0£W•@+Ÿ”™-›N‘L•@œ/0™.‘œžš@›Ñ¢f¶hH(£@¦§™-’¦§£@‘Œ.T‘š½-›%Ÿ†’»&£`ã&-³‘š@›4•f†Ÿ†™0.›5‘•@œž/™-‘œš@›:«”š@£&­œž¥.-›
®<.0œ‘%«†’›5™-‘œš@›%F+w-¶xzy
Ž[~ ¶
|{
v ij
p TV³¨©-/`‘œBŸ‘¨&Ÿ†®<£f¦ž¦§†Ÿ†‘·¯>šcŸ†œž‘œ¥-`œž›N‘r­-vŸ†’™†¨o‘¨©£f‘ijT
ø5, øw À*’/u#™.œž.›5‘•@™-/0£ÑŸ”3¢f¶Òâ(œ›5•+ijTP
Ÿ”£@‘œAŸÐH†Ÿ
FIw yNb
ø5,³“VÀ*-‘[ñ
T
Iñ
T
ªñ]TvPiTN#Wñ]T
T #Wñ T
P`i
.T¬
F+w y[b
ªñ]T
.T¬LP‘TNiTNO
}
FIw y[b
ªñ]T¬
2
#Wñ]T
,
ûû S÷3õõûóÜù
á1rD>ýdcLÌ4 Žv»šÑ幜®<œ‘ªV‘šo‘¨©½¤-’£cŸ”œ™-›N‘/£@¦B¯>£f‘¨†¢
„@¶µ’†B«UñLT’G=
“
H(œAÓ9xzy
1{
•”L~
­©šV‘šVÀ°‘/¯w¡
­©šV‘šVÀ°‘/¯jµ
„@¶  ‚H¦Ÿ†
ŠƒH?‹j‹-D5Œ,r<Ü
â
šfU€ùˆcÓ°‘¨Uã&-³‘š@›
À°’%“Ÿ†‘/¯2–5¶A¡4œBŸ&›5šf‘H›N0•@•©¶âLš@G€
ŠƒH?‹j‹-D5Œ,r+_…˜¨©&™š@›5•@œ‘œš@›Wñ
™š@›5•@œ‘œš@›0H(œ@«†š@=L
T
Ÿ”‘3¯
œAŸH£&•@+Ÿ”™-›N‘5•@œ/0™.‘œžšf›v«”šf(®-œž‘.«†’©›N™-‘œš@›‰Fwµ.ÓL£@›5•&‘¨©./«†š@/
²%$„4‘¨©:¯>.›5£@¦§‘ª¯%£@/£@®-‘-‡.wœBŸ&™†¨šcŸ”.›E£cŸSœž›4Ã&­&£@Ä †Å†¾5˜*£¯°œ£SÆ
Gd
“
H(œ?®<£@›·Ÿ‘¨©£@‘‘¨©`’†¯%•@£@‘•¯>šfœž›N‘Lñ T
•@š-+Ÿ›5šf‘LŸ†£@‘œAŸž«†ªS‘¨©`™0.›5‘/£@¦§œ‘ª
²%$„5¶
Í(D5‹-qIcç0_[̝IâLš@`£Wu#KIÓU£«”’›5•@£f®<.›5‘£@¦•fœ —./-›5™W“.‘³0.›w‘¨©Ã&¦ ­©š@œ‘¨©®
‘¨©£@‘?«†š@SÃ&¦ ­©šf0œ‘¨©®
 Ç-¶
µÁ£@›5•VÃ&¦ ­©š@œ‘¨©®
œBŸ
Â
µ"š@›N4œž‘./£@‘œžšf›jœAŸW-›5šf’-­f¨æ‘šE/£@™†¨w™-›5‘/£@¦§œ‘ª4™0šf›5•@œ‘œžšf›HHµ¹ÓUŸ”’‚H¦§¾]ƒU£c¸¹ª4-‘£@¦
Ƙ„]Ç0ÓU®£@›5³¨©œ¦§v«†š@&Ã&¦ ­©š@œž‘¨®
Â
š@›NWœž‘./£@‘œžšf›j®£@ª4›Nš@‘“W-›Nš@’-­f¨¬‘š"»£@™+¨¬™-›5‘/£@¦§œ‘ªW™š@›5•@œ‘œš@›H
£@›N•2H(¡Ñӟ”&Ã&­F
£@
Ä +Åk†˜*£¯°œ£SÆ Â Ç0ӎv£@/£@•@£]<˜*£”¯°œž£.Æ»µ@µ»Ç+¶
C
Â
Ó
™
„<…€>†&…U%›(œ+V€>†…9~b*9J†&~
š
Žb[FS‰øJTdR;U7™SjR&OžSU_*RB[FOd;a9U7T&-Od‰R&UŸ^P=^`fF£S0a˜[FOj[
U_˜R<[FS0PFO¤PFS-d&R<T&^R&ScOSd;W=STX_4U7TZ?dePFi=Z?STOj^``f
™=SRR&STAO¤P‰UF™FRB^OQPFOQPFce^P(U7WFR&OQZ;^`1d&U`QiFR&OU7P(_U7TA^ƒdSRU_nR&Sd&RbW=TU7™F`SZ?dk!Žb[FSd&S*Š'U7WFR&OU7PFdb^TSydBi=Z;Z;^TO£S\
OQPRB[FSy_U``UabOQPFceRB^™F`%Sk
z*ˆ
¢
ˆ
zb²
zU„
ž|Ÿ*Š²Rwø©
·ATSd&SPRUŸU7T
·ATSd&SPRH§U7T&
¢Ÿ²
·!T{Sd&SPR:ŸU7T&
ž|Ÿ*Š“RŸ²Š
·ATSd&SPRH§U7T&
¢w„
·!T{Sd&SPR:ŸU7T&
·ATSd&SPRUŸU7T
žŸ*Š
R
ˆ²
Žb[FS'U7T\=STS\-jU7i=WF`S0ª¾¢-O]Jz&¬yTSW=TSd&SPR&d*^eW=^R<[V_4U``UabOQPFcd&RBT&^R&Scf;R&UTS^j[0^PU7WFR&OQZ;^`nd&U`¤iFRO%UFP_U7T
W=TU7™F`SZ
ªˆ¬k*‡R*Od*OQZ;W=U7T{RB^PR˜R&UTSZ;^T&RB[=^R˜SžSP®RB[FUFiFc7[RB[FS?d&R<T&^R&ScOSd;ª¾¢
ˆ]1z*ˆ¬]ª¾¢Ÿ²=]1zb²¬]1^PF\
ª¾¢w„=]zU„¬!^TSyW=TSd&SPR&S\eOQP(R&Sj[=PFO%j^`ÚT{SW=U7TRd˜‘³“”X]Q‘2²”]Q‘Qˆˆ{”X]a9S˜[=^žSb\=UFPFS˜U7i=TöUa˜P?OQZ;WF`SZ?SPRB^R&OU7P1k9Žb[FS
d&RBT^R&ScOSd«ª4¢µ²Y]³z*ˆ¬]9ª¾¢w„=]³z*ˆ¬]!ª¾¢
ˆ]³zb²¬]!ª¾¢w„=]³zb²¬]ª¾¢
ˆ]2zU„¬*^PF\
ª¾¢Ÿ²=]³zU„¬˜^T{Sed&R<iF\=O%S\._U7TRB[FS;øJT{d&R
R&OQZ?S'O¤P±RB[FOdba9U7T&,k
Žb[FS*d&SjUFPF\U7™SjR&OžS˜OdbRU’jUFZ;W=^TS*RB[FS*PFi=Z?STOj^`n™YS[=^žFOU7T9U_MjSPRBT^`O%Rf‰jU7PF\=OR&OU7PFd*z*ˆ]=zb²?^PF\zU„
^d˜ZhS^dBi=TSdbU_öW=TU•FOQZ?ORXf‰R&U?SORB[FST–RB[FSƒjSPRBT&^`>W=^R<[‰U7T9œ=i=^d&O1jSPR<T&^`2VXW=^RB[1k
Žb[FS*P7i=ZhSTOj^`>S•=W=STOQZ?SPR&dba9STS*W=ST@_U7T&ZhS\eU7P‰^'d&SR!U_nR&Sd&RbW=TU7™F`SZ?d9U_G bUFj©(^PF\
^PF\
j[FOR&RBUabd<OM‘¡C”X]
j[FOR&RBUabdBO!‘Qˆ²”niFd&S\-™f‹`2VXŒ9^FTfSR˜^`‘³“”Xk9‘¡C”ò^PF\›‘vˆ²”XkŽb[FS’PFi=Z?STOj^`nT{SdBiF`R&dx^TSxW=T{Sd&SPRS\
OQP0ŽM^™F`Sd’ˆ©V»„;^PF\dBi=Z;Z(^TO£S\0OQP2¢'T&^W=[Fdƒˆ'^PF\0²=k
£[Z]\
¤NV¥(ì]_UË_5p?b@ë5b@q]nLpËnM¦Sb(_§Eìð[n?a@qb9
Žb[FS-P7i=Z?ST{O%j^`˜S•=W=STOQZ?SPR&d0^T{S0\=U7PFS®U7Pt^
fFd&R&SZüabORB[
s
·,¯F89z
d&RB^R&OU7P—ø
Ti=P=PFO¤PFc
R<[FS
8*¶1¯&8b‡ > ø-¢´ScF^™fFR&Sd'U_˜Z?SZ?U7Tfk-Žb[FSW=TUc7T^Z?d’^TSeayTOR&R&SP§O¤P.¢-¯!Žb¶Ú¯xŒ
8*W=ST&^RO¤PFcV
žSTd&OU7P.“^=k"ŸS
iFd&Se^(øJPFOR&S(\=O>STSPFjS^W=W=TU•FOQZ;^R&OU7P®R&URB[FS' –Sd&d&OQ^P-U_RB[FSe¶^c7T&^PFcO¤^P_#i=PFjR&OU7P1k;‡@PŸ^``j^d&Sd]RB[FS
PFi=Z’™YST?U_xw–SabR&UFPŸOR&ST&^R&OU7PFd;TSW=U7T{R&S\t^TS‰RB[FSP7i=Z?™=SThU_˜R&OQZ?Sd?S^j[
d&fFd&R&SZ
^`cU7TORB[=Züd&U`%žSd’R<[FS`%OQPFS^T
^d&d&UFjO¤^R&S\-abORB[RB[FS?W=TU7™F`SZýi=PR&O`MOR˜cSPFST^R&Sd*^;W=UOQPR*RB[=^Rbd<^R&OdøSdyRB[FS*_U``Ua–O¤PFcdR&U7W=WFOQPFc
jTOR&STOU7P
x;ªñ]T¬ ˆ
P
ñ]T
¦
ˆ.
¦
¨
,
‡#PµRB[FS?O¤Z(WF`%SZhSPRB^R&OU7PŸU_!RB[FSe^`cU7T{O%R<[=Z?d]1RB[FS?jTOR&Oj^`9W=^T&^Z?SRSTdx^TS'gT0ªW=ST{jSPRB^cS?U_¸Z?UžSZhSPR
R&U?RB[FSƒ™YU7i=PF\^Tf=¬]U
MT«ª4jSPR&ST{O¤PFc‰W=^T&^Z?SRST&¬]=^PF\4u-TeªWYSTRBi=T&™=^R&OU7P0W=^T^Z?SR&ST&¬knŽb[FS?W=^T&^Z?SRSTd1gT
^PF\2
MT7]FRB[=^Rb\=SW=SPF\-U7P‰RB[FS*j[FUOjSƒU_ö^;ZhSTOR9_i=PFjRO%UFP1]J^T{Sƒi=W=\^R&S\-^PF\OQPFOR&OQ^`O%£S\
tU7T9Z?STOR–_i=PFjRO%UFP¢
©
gTU
Z;^•>ª/,¡C·$ˆ(Rûˆ-@@
ˆ@7
2T
ONT¬+$
MT
Z?OQPnª/,³²·$ˆ-@f
2T
O[T¬†$kŠI·$ˆ@$.,-,†,/,Qk
tU7T9Z?STOR–_i=PFjRO%UFP¢Ÿ²%7
©
©
g<
,³ŠŠŠŠ“=]ª
MT
ZhO¤PMª/,³²%$ˆ-@@
2T
O[T¬†$kŠI%$ˆ@$-,.,†,/,
tU7T9Z?STOR–_i=PFjRO%UFP¢w„%7
gTU
Z;^•>ª/,¡C·$ˆ(Rûˆ-@@
2T
ONT¬]
MT
Z?OQPnª/,³²·$ˆ-@f
Š
2T
O[T¬†$kŠI·$ˆ@$.,-,†,/,
^d9_U``UaS7
Ž–[FS’W=ST{RBi=T&™=^R&OU7P§W=^T&^Z?SRSTUu
Od*OQPFOR&OQ^`O%£S\t^PF\µi=WY\^R&S\Ÿ\=SWYSPF\=OQPFc´UFPa˜[FOj[-jSPR<T&^`ORXf®jU7PV
T
\=OR&OU7POdyOQZ;WF`SZ?SPRS\L7
z9SPR<T&^`ORXf‰jU7PF\=OR&OU7P®z*ˆ@7
©
u!TV
MT
b
X Z
\
b
$kŠI·$ˆ@$.,-,†,/,
9
z9SPR<T&^`ORXf‰jU7PF\=OR&OU7P®zb²%7
©
‡#PFOR&OQ^`O£SWu-KHt
UK;X[Z«\
O2_–ª
nª,¬ «
$^PF\d&SR
9
¦
ª
P
¬
)
ª~w˜¬
ª~w€vR‡u € ¬
u-Tk¬?)Hùˆ.
¦
¦
,
¬
ª3,³“cu-T¬†$
u!T$
S`d&S
u-Tq¬L)UËu-T@,
z9SPR<T&^`ORXf‰jU7PF\=OR&OU7P®zU„%7
©
)
‡#PFOR&OQ^`O£Sju-KE
ZhO¤PMª/,³“%$
x;ªñ]K&¬ ¬
x;ªñ]KB¬ ­V®
O2_–ª
nª,¬ ¦
P
a˜[FSTSEñ]K‰O%dR<[FS0OQPFOR&OQ^`ƒW=UOQPR]˜^PF\°¯ýOdRB[FS
®
\=O¤ZhSPFd&OU7P®U_nRB[FS?W=TU7™F`SZk
~w€:REu
€
¦
¬
ª/,Ccu-T¬]
ˆ
u-Tq¬L)U
Z?OQP>ª/,³“·$
¯
®
x
y
ªñ]T¬
¬
x
y
ª'ñLT¬
$
®
S`d&S
u
£[Z'Y
Tq¬?)
Ëu
T
,
kë*e(ìr_0±Tn*b@ë5b@q]nLpïë*pg³²æa@ë´¥(s
‡#P‰ŽM^™F`Sdxˆ©V»„=]a9S˜W=TSdSPR9RB[FS*P7i=ZhSTOj^`JTSd<iF`%RdUF™FRB^OQPFS\;_U7Töd&U`ž7OQPFc?RB[FS
²ƒW=T{U7™F`SZ?d9R&Sd&R&S\?_#TU7Z
‘¡C”
^PF\Ÿ‘Qˆ²”kŸS*\=SPFUR&S'RB[FSƒZ?STOR9_#i=PFjR&OU7PFd*^PF\0jSPRBT&^`%ORf‰jU7PF\=OR&OU7PFdx™fRB[FSy_U``Ua–O¤PFc^™=™=TSžFOQ^R&OU7PFd-7
©
¢
ˆ&7x¥¦{VXPFU7T&Z
T{Sd&O\i=^`>_#i=PFjR&OU7P1]
©
¢µ²7?¯*Tc!^
° S£<VXŽn^WFOQ^;ZhU7\=O2øS\Ÿ^iFc7Z?SPR&S\0¶>^c7T&^PFcOQ^P(_#i=PFjR&OU7P1]
©
¢æ„7·^T&^\^VXŽM^WFOQ^?Z?U7\=O2øS\Ÿ^iFc7ZhSPR&S\0¶^c7T&^PFcO¤^P(_i=PFjR&OU7P1]
©
z*ˆ&7z9SPRBT&^`ORfejU7PF\=OR&OU7P-PFi=Z?™=ST*ˆ]
©
zb²7z9SPRBT&^`ORfejU7PF\=OR&OU7P-PFi=Z?™=STb²=]
©
zU„7z9SPRBT&^`ORfejU7PF\=OR&OU7P-PFi=Z?™=STU„=k
ˆ-
‡#PS^j[yRB^™F`S]RB[FSjSPRBT&^`7[FS^\=O¤PFcyO\=SPRO³øSdR<[FSZ?STOR1_#i=PFjR&OU7P?iFd&S\*abORB[RB[FS!R<[=TSS\=OÚST{SPRMjSPR<T&^`ORXf
jU7PF\=OR&OU7PFdkAŽb[FS9øJTd&RAjU`Qi=Z;P?jU7PRB^OQPFdARB[FS˜W=TU7™F`SZ
PFi=Z’™YSTR&SdR&S\?U_!‘¡C”Ú^PF\0‘vˆ²”X]^PF\;RB[FSyPFS•7RARB[=TSS
jU`Qi=Z;PFd'jU7PR<^OQP-RB[FS;P7i=Z?™YST*U_bwbSabRU7P®O%RST&^R&OU7PFd?PFSjSd&dB^Tf-R&UUF™FRB^OQP-^P-U7WFR&OQZ;^`d&U`QiFR&OU7P-U_9RB[FS
W=TU7™F`SZ
iFdO¤PFc(jSPRBT^`O%Rf‰jU7PF\=OR&OU7PFd*z*ˆ]7z–²=]=^PF\0zU„=]FTSdBW=SjRO%žS`%fkb‹A^j[;d&U`¤iFRO%UFP‰U7™FRB^OQPFS\‰_#TU7Z
\=O>STSPR'd&RBT&^R&ScOSd*ab^d*žSTO2øS\>]^PF\ŸOR’^c7TSSd*abORB[-R<[FS;d&U`QiFR&OU7P.TSW=UFTR&S\-OQPµ –U7j-^PF\
^PF\
j[FORXa9Ud<O˜™YU7UFdk
Žb[FS®d&f=Z’™YU`ƒªvVX¬;Z?S^PFd;RB[=^R?RB[FS0W=TUF™F`%SZ
R&Sd&RS\
\=O%\
RB[FS
j[FORXa9Ud<O
PFUR;jU7PžSTcSabORB[FOQP
ˆ-@hO%RST&^R&OU7PFdkҟSƒdBi=Z(Z;^TO£SƒR<[FSƒP7i=Z?ST{O%j^`òTSd<iF`%RdxW=TSdSPR&S\®OQP0ŽM^™F`Sd’ˆ<V»„hO¤PE¢'T&^W=[-ˆƒ™f«^\=\=O¤PFc
RB[FSePFi=Z?™=ST'U_bwbSabRU7P-OR&ST&^RO%UFPFdhPFSS\=S\.R&U®d&U`žS;RB[FS(d&SRƒU_˜W=TUF™F`%SZhd’RSd&R&S\-_U7TyS^j[ŸU_RB[FSPFOQPFS
d&RBT^R&ScOSdkŽb[FOdyO%dy\=U7PFS*U7PF`f‰_U7TbW=TUF™F`%SZhd˜RB[=^RjUFPžST{cS*OQP0^``>RB[FS*UFWFR&OU7PFdk
‡#P(W=^TR&OjiF`Q^T]aSyW=TSd&SPRRB[FS˜PFi=Z’™YSTMU_nwbSa–R&U7P'OR&ST&^R&OU7PFdR<[=^R!^TSbPFSS\=S\‰R&U*d&U`žS˜W=T{U7™F`SZ
‘¡C”nOQP2¢'T&^W=[‰²=kŸS*jUFZ;W=^TS*RB[FSƒPFi=Z?STOj^`MTSdBiF`R&dyU7™FRB^OQPFS\0iFd&OQPFcZ?STOR9_#i=PFjR&OU7PFd˜¢
ˆ-„–_#TU7Z
ˆ]F¢Ÿ²?^PF\0¢w„
jU7Z?™FOQPFS\0abORB[±jSPR<T&^`ORXf‰jU7PF\=OR&OU7PFdƒzb²?^PF\-zU„=k
£[Zê
¶d9VIë*acíËnM¦·±Td9
_5a@qQ%ë°ìvîE_5scdìb@s
w–Uaûa9S˜W=TSd&SPR!U7i=TöOQPR&STW=TSRB^R&OU7PhU_>RB[FSxPFi=Z?STOj^`1TSdBiF`R&d9dB[FUa˜P?OQP?¢ƒT&^W=[Fd˜ˆ˜^PF\e²y_U7TdU`ž7OQPFc?RB[FS
d&SRbU_òR&SdR¸W=T{U7™F`SZ?dk
tOQTd&R]¢'T&^W=[‰ˆ9dB[FUabdRB[=^Ròzb²Y]RB[FSba9SOc7[RS\hW=T{U•FOQZ?ORfhZhS^dBi=TS9R&U*RB[FS9œ=i=^d&O=jSPRBT&^`2VXW=^R<[1]O%dARB[FS˜™YSd&R
jSPRBT&^`ORfŸjU7PF\=OR&OU7P.abORB[.^Pf´j[FUOjS‰U_˜Z?STOR'_i=PFjR&OU7P§d&OQPFjSOR?O%d;Z?UFTSeTU7™=iFdR’^PF\
PFi=Z’™YST?U_ƒwbSa–R&U7P§O%RST&^R&OU7PFd;R<[=^P
TSœ=iFO¤T{Sdƒ_Sa9ST
z*ˆ0^PF\tz:„=k›z9SPRBT&^`%ORf.jU7PF\=OR&OU7PtzU„-[=^d‰^Ÿ™=SR&RST;P7i=ZhSTOj^`
™=S[=^žFOU7TRB[=^PƒjSPRBT&^`%ORf?jU7PF\=OR&OU7P‰z*ˆ9OQP?R&ST&Z?dU_ÚPFi=Z’™YSTU_>W=TU7™F`SZ?dARB[=^RjU7PžSTcS]™=iFROR9TSœgiFOQTSd
Z?U7T{S0wbSabRU7P
OR&ST&^R&OU7PFd;_U7T?dU`ž7OQPFc.RB[FS0R&SdReW=TU7™F`SZ?dk˧S0U7™Fd&ST{žSRB[=^R;dU7Z?S0W=TU7™F`SZ?d\=U.PFUR
jU7PžSTcSyabORB[(U7WFR&OU7Pz*ˆ]7R<[FSxW=TU•FOQZ?ORXf‰Z?S^dBi=TS*RUƒRB[FS*jSPRBT&^`1W=^RB[1]=™=Sj^iFd&S*ORbRB^SdAdB[FU7TRST!dR&SWFd
S•FjSS\=O¤PFc.RB[FS^``Uab^™F`S0PFi=Z?™=ST?U_yO%RST&^R&OU7PFd0ª¾Sk¡c,k´W=TUF™1kEø7“=]Qˆ-
RB[FS?Z;^RBTO•0™YSjU7Z?Sd*O``³V#jUFPF\=O%RO%UFPFS\
¬]>UFTƒay[FSPŸj`Ud&SRU´R<[FSed&U`¤iFRO%UFP
>
ªW=TU7™1k*ˆ-„¬k‡@P®RB[FSƒjU7PRBT&^Tf]=U7WFR&OU7P-zb²hRB^Sdb`U7PFcSTyd&R&SWFd]1^PF\
PFU7PFSyU_>RB[FS*W=TU7™F`SZ?dA_^O%`S\\iFS*R&U?^P?O``2V#jU7PF\=OR&OU7PFS\ŸZ;^R<TO•JkG8*WFR&OU7P‰zU„=]RB[FSxi=Pa9SOc7[RS\«W=TU•FOQZ?ORXf
Z?S^d<i=TSbR&U*RB[FS–œgi=^dO=jSPRBT^`2VXW=^RB[1]7[=^d^yd&OQZ?O`Q^T9™=S[=^žFO%UFT!OQP;T{U7™=iFd&RBPFSd&dARB[=^P?UFWFR&OU7P;zb²=]™=iFRAOd!œ=iFO%RS
S•=W=SPFd&OžSƒ^dUFWFR&OU7PezˆknŽb[FOd9U7™Fd&ST{ž^R&OU7PFdAdB[FUatRB[=^RM_4U``UabOQPFc?RB[FSbœ=i=^d&OjSPRBT&^`³VXW=^RB[?Odb^P?S>SjR&OžS
j[FUOjS’^dbjSPRBT&^`%ORfTScOU7P‰_U7TAd&U`žFOQPFc«PFU7PF`OQPFS^T*W=TUc7T&^Z;ZhO¤PFc‰W=TU7™F`SZ?dk
SjU7PF\>]Z?ST{O%R_#i=PFjR&OU7P'¢µ²–[=^dò^P*U7iFR&dRB^PF\=OQPFcxPFi=Z?STOj^`=™=S[=^žFOU7T>OQP'R&ST&Zhd>U_RB[FS9P7i=Z?™=STU_wbSa–R&U7P
OR&ST&^RO%UFPFdRB[=^P?Z?STORM_#i=PFjR&OU7P'¢
ˆ9^PF\?¢w„=kL§S¸^`%dU*U7™Fd&STžS9RB[=^RòZ?ST{O%RM_#i=PFjR&OU7P'¢
ˆ!Od9^˜Z?UFTSTUF™=iFd&R
j[FUOjS’R<[=^P®RB[FSƒUR<[FSTbRa9U;U7WFR&OU7PFdk§SƒOQPžSd&R&Oc7^R&S\®_#i=TRB[FST–a˜[fd&U7Z?S'U_!RB[FS;W=TU7™F`SZ?dy_#^O`S\ŸabORB[
U7WFR&OU7PFd¢Ÿ²*^PF\(¢æ„Ykn‡#PhRB[FS9j^d&SbU_JZhSTOR_#i=PFjR&OU7P?¢Ÿ²=]RB[FS9d&RB^TR&OQPFcƒW=UOQPRZ;^Sdò^y\=O>STSPFjS*™=Sj^iFdS
RB[FOd'_i=PFjRO%UFP.O¤PžU`žSd;^®`Uc7^T{O%R<[=Z?Oj;_#i=PFjR&OU7P1kEŸS;UF™Fd&STžS‰RB[=^R'abORB[›^®d&R<^TR&OQPFc´WYUOQPR?RB[=^RƒOd;PFUR
OQPRSTOU7T]9^Pf.d&RBT^R&Scf›iFdO¤PFc.RB[FOdZ?STOR?_#i=PFjR&OU7Pt[=^d‰W=TU7™F`SZ?d‰R&U-jU7PžSTcS›ªW=TUF™1k
ø]
“¬k›Ž–[FO%d
\=O:ejiF`Rf´Od*UžSTjUFZ?S\ŸiFd&OQPFc0^P®O¤PFOR&OQ^`AOQPR&ST{O%UFT@VXW=UOQPRkƒŽb[FOd'O%dƒPFURƒ^POd&dBiFSh_4U7TyZ?STORy_#i=PFjR&OU7PFdƒ¢
ˆ
^PF\Ÿ¢w„=kVt,U7TƒZ?ST{O%R_i=PFjRO%UFPŸ¢w„=]d&U7Z?S;U_¸R<[FSeW=TU7™F`SZ?d?\=O\tPFURƒjUFPžST{cS;™=Sj^iFd&SU_`Q^TcS‰ž^`¤iFSd
U_!RB[FS?W=SP=^`Rf´W=^T&^Z?SR&ST‡.›ªW=TUF™1k˜²=]³²
>
¬kvŸS'U7™Fd&STžS'RB[FOd*OdƒPFURx^‰W=TU7™F`SZ
™=Sj^iFd&SƒRB[FSƒT^PFcS*U_ž^`QiFSdyU_RB[FOdxW=^T^Z?SR&STAOdx™YSRaSSP4(^PF\¬„=k
tOQP=^``f]+¢ƒT&^W=[
PFi=Z?STOj^``f
ˆ®dB[FUabdRB[=^ReRB[FSŸ™YSd&R0W=^RB[V_U``Ua–O¤PFcûd&RBT&^R&Scf
>
_U7TyZ?STORb_#i=PFjR&OU7P-¢Ÿ²
k
Od›ª¾¢Ÿ²=]³zb²¬?d&OQPFjSŸOR0[=^d0^
™=SRR&ST
WYST@_4UFT&Z;^PFjS?_U7Tyd&U`%žFOQPFc-RB[FS;R&Sd&R?W=TU7™F`SZ?d'O¤Pµ_SaST*PFi=Z?™=ST'U_bwbSabRU7P-OR&ST&^RO%UFPFdke‡@P
R&ST&ZhdnU_JT{U7™=iFd&RBPFSd&d]RB[FS9d&RBT&^RScfhª4¢
ˆ]³zb²¬>T{SW=TSd&SPR&d!^˜™YSR&R&STMj[FUOjS]7™=iFRMd&RBT&^R&Scfeª¾¢Ÿ²=]³z–²¬1™=SjU7Z?Sd
^?jU7Z(W=SR&OR&OžS'j©[FUOjS'U7PFjSƒd&UFZ?S*U_nRB[FS'd&RB^T{R&OQPFchWYUOQPRdx^T{S*j©[=^PFcS\R&Ue™=S'OQPR&ST{O%UFT@VXW=UOQPR&dk
ˆˆ
w–Ua
_4U7T–W=TU7™F`SZ
ˆ-„=]=ay[FSTSƒd&R<TOjRbjU7Z;WF`SZ?SPRB^TORf\=UFSdxPFURy[FU`\>]!ª¾Ok¡Sk!R<[FS+¸7^jUF™FO¤^P0Odyd&OQPFc7iF`Q^T*^R
RB[FS‰d&U`QiFR&OU7P=¬'¢'T&^W=[Ÿ²®dB[FUabd?RB[=^R’Z?STOR'_#i=PFjR&OU7PFd;¢Ÿ²0^PF\
¢w„±abORB[.jSPR<T&^`ORXf§jU7PF\=OR&OU7P
zb²-^PF\
zU„[=^žS;^P®U7iFR&dRB^PF\=OQPFc0™=S[=^žFO%UFT*OQP-R&ST&Zhd*U_¸PFi=Z?™=STyU_bwbSabRU7P®O%RST&^R&OU7PFd?PFSjSd&dB^Tf®R&U0TS^j[-^P
U7WFR&OQZ;^`d&U`QiFR&OU7P1k;‹`2VXŒ9^FTf-SRƒ^`9‘³“”!d&R&UFW=W=S\ŸRB[FSOQT'^`cU7TORB[=ZýOQP
d&U`QiFR&OU7P§U_bRB[FSeW=T{U7™F`SZkD!^Z;^dB[FORB^Ÿ‘Qˆ.„”9OQPtˆ
ˆ-f‰O%RST&^R&OU7PFd*abORB[FUFiFRƒTS^j[FO¤PFc-^
²OR&ST&^RO%UFPFd’TSWYU7TR&S\
W=TOQZ;^`>^PF\\i=^`JdU`QiFR&OU7PFd]™=iFR9RB[FSƒPFU7TZ—U_nRB[FS*¨*¨*Ž
^cUFUF\›^W=W=TU•FO¤Z(^R&OU7P-R&U®RB[FS
jU7PF\=OR&OU7PFd*^d&d&UFjOQ^R&S\‰R&U?RB[FSƒW=TU7™F`SZ
ab^d9PFUR
j`Ud&S'R&U?£STUk
¹
º
~…©„‚?†<~SØB»²
9€´¼SÛ
‡#P±RB[FOdba9U7T&?a9S*[=^žS*OQZ;WF`SZ?SPRS\´PFOQPFS?c`U7™=^`O£^R&OU7PdRBT&^R&ScO%SdA_U7T9d&U`%žFOQPFcePFU7PF`OQPFS^T*W=TUcFT&^Z;Z?OQPFc
W=TU7™F`SZ?dy™f;jUFZ’™FOQPFOQPFce^Pf;U_>RB[FS*Z?STOR9_#i=PFjR&OU7PFdb^PF\jSPRBT&^`ORf;jU7PF\=OR&OU7PFd˜W=T{Sd&SPRS\0™fe‹ö`2VXŒ^7Tf
SR*^`]¯*Tc!^
° S£<VXŽM^WFOQ^^PF\-·^T&^\^VXŽM^WFOQ^-ª¾d&SSe‘2“”]n‘³²”X]M‘Qˆˆ”4¬k
O%•®U_RB[FSd&S?d&RBT&^R&ScOSd˜^TS?W=TSd&SPR&S\Ÿ^PF\
jU7Z;W=^TS\‰_4UFT!R<[FSyøJTd&R9R&OQZ?S*OQPRB[FOdbdRBiF\=fk¯þcSPFST&^`1¢-¯!Žb¶1¯*ŒûjU7\=S'a¸^dayTOR&R&SP(R&U;d&U`žSƒPFUFPF`%OQPFS^T
W=TUcFT&^Z;Z?OQPFc0W=TUF™F`%SZhd’™f´iFd&OQPFc0S^j©[®U_9RB[FSePFOQPFS;d&RBT^R&ScOSdk‰8*i=TƒPFi=Z?STOj^`S•=W=STOQZ?SPRB^RO%UFPŸab^d
\=U7PFS'U7P‰RB[FS*d&SRbU_òR&SdR¸W=T{U7™F`SZ?dxW=T{Sd&SPRS\´™f«‹ö`³VXŒ9^FTfSR˜^`4‘2“”k
tJT{U7ZüU7i=T?P7i=Z?ST{O%j^`S•=W=ST{O¤ZhSPRB^R&OU7P1]9RB[FS™=Sd&R;UFWFR&OU7PŸRU´dU`žS0PFU7PF`OQPFS^TeW=T{Uc7T&^Z(Z?OQPFc´W=TU7™F`SZ?d
iFd&OQPFce^?W=^RB[V_U``UabOQPFc’dRBT&^R&Scf’cO%žSP™f;ÿ*S<øJPFOR&OU7P4„YkQˆbOdbRB[FSyd&RBT^R&Scfª¾¢Ÿ²=]³zb²¬k>¢-STORA_i=PFjR&OU7P‰¢Ÿ²
W=TU7ZhUR&Sd9cUFU7\0PFi=Z?STOj^`n™YS[=^ž7OU7Ty™fZ;^OQPFceW=TUcFTSd&d9R&U;RB[FS*œ=i=^d&O1jSPRBT&^`2VXW=^R<[^PF\´™feS•=W=SjRO¤PFc
^?\=SjTS^d&SƒOQPR<[FS*U7™SjR&OžSy_i=PFjRO%UFPabORB[®Z?U7\=ST^R&S*ž^`¤iFSdyU_RB[FS’WYSP=^`Rf0W=^T&^Z?SRSTktJi=TRB[FSTZ?U7TS]
jSPRBT&^`ORf;jU7PF\=OR&OU7P0z–²’WYST@_U7T&Z?dbPFi=Z?STOj^``f0™=SR&R&STARB[=^P;RB[FS*URB[FSTARXa9U'U7WFR&OU7PFd9abORB[^Pf?jU7Z?™FO¤P=^V
R&OU7P?U_ÚZ?STORö_i=PFjR&OU7PhO¤PhR&ST&Z?dU_nTUF™=iFd&RBPFSd&d!^PF\(R&URB^`=PFi=Z’™YSTU_>wbSa–R&U7P'OR&ST&^R&OU7PFdkn¯y`d&U]_TUFZþU7i=T
PFi=Z?STOj^`T{SdBiF`R&d?aS?U7™FdSTžS;RB[=^R*jSPRBT^`O%RfŸjUFPF\=O%RO%UFPFdhz–²^PF\
z:„[=^žSe™=SR&RSTƒPFi=Z?STOj^`WYST@_U7T@V
Z;^PFjS'RB[=^P‰jSPRBT&^`ORfejUFPF\=O%RO%UFP´zˆk!Žb[FSTS<_U7TS*a9SƒTSjUFZ;Z?SPF\0RU;j©[FUFUd&S*R<[FSƒœ=i=^d&O>jSPRBT&^`2VXW=^R<[^d
^?jSPRBT&^`ORf«T{ScOU7P0^PF\®jSPR<T&^`ORXf‰jU7PF\=OR&OU7P-zb²?^d˜^PS>SjR&OžSƒZ?S^d<i=TS*U_!W=TU•7OQZ?ORfR&U?RB[FOdxT{ScOU7P1k
‡RyOd*OQZ;W=U7T{RB^PR˜R&U‰Z?SPRO%UFP0R<[=^R˜iFd&OQPFcjSPRBT&^`ORfjU7PF\=OR&OU7PŸzb²=],PFU7PFS?U_!RB[FS’W=T{U7™F`SZ?dy_^O%`S\-\iFS;^P
O``³V#jUFPF\=O%RO%UFPFS\
Z(^RBTO•1]ò^PF\Ÿa9SejU7P.SjRBi=TS(O%R?dB[FUFiF`%\t™YS«iFdS\›R&U-^žUO\ŸRB[FSe™YU7i=PF\^TOSd;j`UdSeR&U®RB[FS
d&U`QiFR&OU7P1k
tJi=T{RB[FSTnPFi=Z?STOj^`^PF\ƒRB[FSU7T{SR&Oj^`gT{Sd&S^Tj[*Od!PFSS\=S\?R&UySd&RB^™F`OdB['RB[FSbTU`S!R<[=^RnR<[FS!œ=i=^d&OFjSPRBT^`2VXW=^RB[
^PF\RB[FS'jSPR<T&^`ORXf‰jU7PF\=OR&OU7P-zb²?WF`Q^f‰_4U7TAd&U`%žFOQPFc«PFUFPF`%OQPFS^T*W=T{Uc7T&^Z(Z?OQPFceW=TU7™F`SZ?dk
½
A
…´¼?~ƒ×
A‚Ø&…9~b°Û
Žb[FS0^iFR<[FU7TdƒR<[=^P=-RB[FSOQPR&STOU7T@úgWYUOQPR(U7WFR&OQZ?O£^R&OU7P.c7T{U7i=W›^R<89OjS¿¾yPFOžSTd&ORf§_4U7T?^``9RB[FS‰ž^`Qi=^™F`S
jU7Z;ZhSPR&dy^PF\dBi=W=W=UFTRk!‡@P0W=^TRO%jiF`Q^T]=a9S*RB[=^P=(¢´Oj[=^S`nŽMTUd&dSRk¯*Z;Tb‹`2VXŒ9^FTf^PF\D˜OQP->[=^PFc,k
ˆ²
¢
·ATU7™
z*ˆ
zb²
zU„
ˆ
ø7Š
²²
>
²
„C
ˆ
>
„
>
“
Š
“
ˆyžFd˜z*ˆ]z–²=]=zU„
·!TUF™
z*ˆ
zb²
zU„
·ATU7™
z*ˆ
zb²
zU„
C
„²
ˆ-„
ˆ-„
ˆ-„
>
ˆˆ
ˆˆ
ˆ-
“
„@„
ˆ²
²“
²²
C@
“
„cø
ˆˆ
ˆˆ
ˆ²
C=ˆ
ˆ²
ˆˆ
ˆ²
„“
ˆˆ
ˆˆ
ˆ-
C@„
ˆŠ
²=ˆ
²cø
ˆˆ
ˆ-
Š
„
>
ˆ†ø
ˆ²
ˆ“
Ccø
„=ˆ
„=ˆ
ˆ-„@
ˆ-
ˆ-
C
C
„
ˆ†ø
ˆ²
ˆ“
C
>
²=ˆ
²²
²cø
ˆˆ
C
>
>
„C
ˆ
²cø
Š@„
ˆ-„
ˆ†ø
ˆ“
ˆ²
ˆ†ø
ˆˆ
ˆ²
øˆ
ˆ-@
ˆ“
ˆ“
ˆ
ˆ†ø
>
“
“
ø7²
ˆ²
ˆˆ
ˆˆ
ˆ-cø
ˆ²
ˆ†ø
ˆ-„
ˆ“
ˆ“
ˆ“
ˆ[C
ø©„
ˆ
>
ˆ“
ˆ
>
ˆ-
>
V
„²
„²
ˆ
>
²²
²²
²“
ø@ø
ˆ-„
ˆ-„
ˆ²
²²
>
ˆ-
ˆ-
Š
ˆ
ˆ-„
ˆ†ø
ˆ†ø
ø7“
V
Š
C
²²
Š
Š
C
ˆ[C
„@
„@
„@
“@„
ˆˆ
ˆ-
ˆ-
²@„=ˆ
ø7²
„Š
Š“
ˆŠ
ˆ-„
ˆ“
²cø
>
ˆ²
ˆ²
ˆˆ
²@„@„
ø7“
²Š
>
²@
ˆ-„
ˆ-„
ˆ“
>
²
ˆ-
ˆ-
ˆ†ø
²“@
ˆ†ø
ˆ-„
ˆ“
²=ˆ
ˆ†ø
ˆ
ˆ
>
„
ˆ²
ˆ²
ˆ²
²“=ˆ
ˆ†ø
ˆ²
ˆ“
²²
“
“
“
²cø
²@„
„
²
²
ˆˆ
ˆ²
ˆˆ
²@„
²=ˆ
²²
²²
“
²cø
²“
²cø
„²“
ˆˆ
ˆˆ
ˆ-
²cø
C
C
>>
ˆ-
ˆˆ
ˆ²
„@„Š
ˆ-„
ˆ-„
ˆ-„
²“
ˆ-„
ˆ-„
ˆ“
„cø©
Š
ø
²
>
V
> ø
>
ˆ
>
>
>
²
>
ˆ“
ˆ
>
ˆ-„
²
ˆ²
ˆŠ
²
„cøˆ
ˆ²
ˆˆ
ˆ-
²Š
ˆ-
ˆ-
ˆˆ
„
ˆ[C
ˆ[C
²=ˆ
„cø7²
²cø
²@„
ø©„
„@
ˆ²
ˆ
ˆ
²@
ˆŠ
²=ˆ
„“@„
ˆ-„
ˆ-„
ˆ†ø
„=ˆ
ˆ-„
ˆ-„
²=ˆ
ˆ[C
²@
„“cø
ˆ
ˆ“
ˆŠ
ø
>
ˆ†ø
“
ŽM^™F`Seˆ@7
ˆ-„
>
¢Ÿ²'žFd˜z*ˆ]z–²=]=zU„
·ATU7™
z*ˆ
zb²
zU„
·!TUF™
z*ˆ
zb²
z:„
·ATU7™
z*ˆ
zb²
zU„
ˆ
²²
ˆ-„
ø©„
„²
ˆˆ
Š
Š
;>
C
C
C
Š
²Š
„@„
ˆ†ø
“²
Cf
“
“
“
²
²
„cø
C
CYˆ
C
„
„“
ˆ-
Cf„
ˆ[C
ˆ[C
ˆŠ
CÑø
²²
²
>
²@
„C
²
ˆ
„
>
ø
ø
ø
>
ˆ
>
“
Š
„
>
ˆ-
Š
ˆ.
ˆ-
Š
C
C
„
Š
C
ˆˆ
Š
>
>
„C
ˆ[C
„²
„“
Šf„
V
ˆ²
ˆ-„
ˆ²
>
øˆ
“
“
“
ˆ-@
ˆ-
ˆ-„
ˆ-„
ˆ†ø
“
“
“
ø7²
ˆˆ
ˆˆ
ø„
ˆ-cø
C
ˆˆ
ˆ-
ˆ“
ˆ²
Š
ˆ-„
ø©„
²@„
Š
ˆ²
ˆ-
>
„“
„@„
„@„
ˆ
>
ˆ[C
ˆ†ø
ˆ†ø
ø@ø
C
C
Š
²²
>
ˆ-
Š
C
ˆ
Š
ˆ-
ˆ-
ø7“
²²
“
>
ø7²
ø7²
“@„
ˆ
ˆ[C
²
>
ˆŠ
V
ˆˆ
²@
ˆ-
²=ˆ
ˆ-„
²²
V
V
ˆ-
Š
Š
>
²
>
ˆ“
ˆ†ø
>
„
„
„
„
²@„
²²
ˆ[C
ˆ[C
²cø
“
“
“
>>
²“
C
Š
ø©„
²
>
ˆŠ
ˆ
>
ˆ
„@
ˆ-
ˆ²
ˆˆ
„=ˆ
Š
Š
>
Š
²@„@„
²=ˆ
ˆ
>
²“@
Š
Š
ˆ-
ˆ
>
„
ˆ
²“=ˆ
Š
C
C
²²
ˆ[C
„f
²
²
C
Š
C
²cø
øˆ
ø
„²“
Š
C
„@„Š
ˆ-
ˆ-
Š
Š
ˆ²
„cø©
“
“
“
²
ˆ-„
ˆˆ
ˆ²
„cøˆ
Š
„
ˆ
ˆ†ø
ˆ+ø
„cø7²
ˆ
>
ˆ-„
²=ˆ
ˆ““
„“@„
ˆˆ
ˆ-
ˆˆ
V
„“cø
ˆˆ
ˆ²
ˆ†ø
ˆ
C
²@
ˆŠ
“
C
²=ˆ
²@„
>
C
²@„=ˆ
>
> ø
²Š
ˆ
>
>
“
ø
>
>
C
²
ø
“
>
“
ø©„
>
„²
„Š
ŽM^™F`S’²%7
ˆ†ø
>
ˆ
>
¢w„'žFd˜z*ˆ]z–²=]=zU„
·ATU7™
ˆ
z*ˆ
zb²
zU„
·!TU7™
z*ˆ
zb²
z:„
·!T{U7™
zˆ
z–²
zU„
ˆ
²=ˆ
²Š
„²
Š
Š
Š
>
>
²=ˆ
²cø
„@„
²Yˆ
²Ñø
C@
“
²
²
„cø
ˆ.
ˆ.
C=ˆ
>
„
„“
>
“f„
C@„
ˆ
>
ˆNC
ˆŠ
ˆŠ
²²
„@
„;C
„
²“
>
²
V
²
„
ø
„
ø
²
>
²
“
“
>
>
„
>
Š
Š
Ccø
ˆ-
C
ˆ“
ˆ“
„
>
C
C
C
ˆˆ
>
„C
ˆˆ
Š
ˆ.
Š@„
V
V
V
ˆ²
ˆ-
ˆ-
ˆ-
øˆ
“
“
“
ˆ-@
ˆ.
ˆ²
ˆ-„
ˆ†ø
ø
“
“
ø7²
“
>
>
ˆ-cø
ˆ.
Š
C
ˆ-„
ˆ†ø
ø©„
ˆ²
ˆ+ø
ˆ²
ˆ-
>
„f
²Yˆ
²=ˆ
>
C
²²
>
>
>
²²
>
>
ˆ“
ˆ
>
ˆ²
ˆ†ø
ˆ“
ø@ø
ˆ
C
ˆ-
ˆ-
ø7“
“@„
ˆ[C
²@
ˆŠ
V
²
²
V
V
²@
²=ˆ
ˆ-
²²
“
>
>
²@„
²@
²@
²@
²cø
ø
>
ø
²“
²@„
²
ˆ
ø
V
>
ˆ
>
ˆ.„
V
>
ø
“
“
²@„=ˆ
„Ñø
øfø
>
>
ˆ-„
ˆ+ø
ˆ²
²@„@„
ˆ.„
„;C
ø7²
>
²
“
Š
²“@
Š
Š
>
„
ˆ²
ˆˆ
ˆNC
²“=ˆ
>
C
C
²f
øF“
²
Š
C
ˆŠ
ˆŠ
„²“
ˆ.
Š
Š
C
C
„@„Š
ˆ.„
C
Š
Š
ˆ²
ˆ“
„cø©
ˆ
øfø
C
Š
C
V
>
>
²
> ø
“
ˆ
>
>>
ˆ“
V
²
C
ˆ²
ˆ²
„cøˆ
>
„
ˆˆ
ˆ+ø
ˆ“
„cø7²
ˆ²
ˆ
>
²@
ˆ“
ˆNC
ˆ
>
„“@„
ˆ.
ˆ²
ˆ²
ˆ²
ˆ.„
ˆ.„
„“cø
Š
ˆ²
ˆ†ø
V
²Š
“
„@
>
ø©„
ø©„
„=ˆ
>
Š
Š
ˆ
²
>
ø
“
ŽM^™F`S<„%7
ˆ“
No. of Newton
Iterations
1100
1000
M1
1006
1197
FAILS
955
Problems
38 , 45 , 106
C1
3
C2
0
C3
1
84
C1
3
19, 45, 93
C2
2
74, 75
C3
3
45, 74, 75
C1
5
2, 19, 26, 45, 93
C2
3
19, 26, 93
C3
4
19,26,45,93
900
800
700
600
500
C1
No. of Newton
Iterations
1100
C2
M2
C3
Centrality Conditions.
1019
1000
900
835
800
721
700
600
500
C2
C1
No. of Newton
Iterations
C3
Centrality Conditions.
M3
1100
1000
987
961
974
900
800
700
600
500
C1
C2
C3
Centrality Conditions
tOc7i=TS‰ˆ@7G¢ƒT&^W=[-ˆ
ˆ
>
Ý'IH1mnuvDN‹
>Ü
zb²
zU„
“
> ø
¢Ÿ²
ˆ-„
ˆ“
¢w„
ˆ-„
ˆ
¢
ˆ
>
>
ŽM^™F`SSø57
Problem 13 (A Difficult Problem)
Strict Complementarity does not hold
No. of Newton
Iterations
Centrality
Conditions
M1
65 64
C2 C3
M2
M3
16
13
15
13
C2
C3
C2 C3
tOc7i=TS?²%7G¢ƒT&^W=[²
ˆ
»²9À.€L9~ƒ…Û
‘Qˆ©”¨?kM¢
k>¯*PFd&RBTSOj[FST;^PF\0¸kn·MkjÁyO¤^`4]fÂU›Q‘¨©J™š@›5¥.-­©.›5™Wš/«4£@›Qœ›†«†0£cŸ†œ“†¦§&¯*0œ®£@¦»•@’£@¦Uœ›5‘.0œš@J
¯%š@œž›N‘&®-‘¨©š.•W«†š@V™0š@›N¥-+åW¯°/š­/£@®®<œ›@­F]!ŽSj©[1k89SW1k!Šf„V»„cø]tJ^jiF`%RfŸU_xŽ>Sj[=PFOj^`b¢Ÿ^RB[FSZ(^R&Ojd
^PF\-‡#P_U7T&Z;^R&Ojd]=ÿ*S`2_4R¾˜PFOžSTdO%RfU_!ŽSj©[=PFU`Ucf]Žb[FSƒw–SRB[FST`Q^PF\=dk
‘³²”x¢
k1¯*Tc!^° S£]>^PF\w8*k1¯?k>ŽM^WFOQ^=]ŒÂU›j‘¨S­¦±š“£@¦™š@›5¥.-­©.›5™<š3«
£E®š-•fœ Ðv0•4£@’.­©®.›5‘•ˆL£†­©/£@›f­©œ£@›
¦§œ›5†Ÿ†£@/™†¨4œž›N‘-œžš@¯>š@œ›5‘ã&-³‘š@›‡®<.‘¨©š-•«”šfS›5šf›5¦§œž›N0£f¯°/š­©/£@®®œ›@­7]1ŽSj©[1k*89SW1k1Š“VX²Š=],ÿ*SWFRk
U_!z9U7Z(W=iFRB^R&OU7P=^`>^PF\®¯xW=WF`OS\-¢Ÿ^RB[FSZ;^RO%jd]589OjS¾yPFOžSTd&ORf]à –U7iFd&RU7P1]=ŽŒÄ’k
‘„”x¢
k¯xTcA^
° S£]‚(åc£@™-‘L£f›5•&œ›5†åc£@™-‘?›5-³‘šf›W¦§œž›N†Ÿ†0£@/™+¨Fœ›5‘.0œš@JB¯>šfœž›N‘L®-‘¨©š.•S£@¦
¯°/š­©/£@®®œž›f­W¯°/š©“+¦§-®`Ÿ©]1·![1k
ÿ;kRB[FSdO%d]>Ž>Sj[1k°8¸SW1k>Š
­©šf0œ‘¨©®`Ÿ*«”š@:›5š@›N¦±œ›5£@
VBˆ-„=],ÿ*SWFRk,U_z9U7Z(W=iFRB^R&OU7P=^`^PF\-¯*W=WF`%OS\
¢Ÿ^RB[FSZ(^R&Ojd]589OjS‰¾˜PFOžSTdO%Rf]´ bUFiFd&R&U7P1]ŽÅĒk
‘
ø ”h¸k>‹–k1ÿ*SP=PFOd+¸7Tk1^PF\w8*k>Œyk
j[=P=^™=S`]ãF’®-œž™£@¦®-‘¨©š.•cŸv«”š@½’©›N™0š@›·Ÿ”‘/£@œ›5•Vš¯°‘œ®<œAņ£@‘œžšf›j£@›N•
›Nš@›5¦§œ›5£@¤-’£@‘œš@›%Ÿ]=·!TSPR&OjS<V… y^``4]>‹APFc`Sa9U7UF\´z9`O>d]w–SaV¸STdSf]òªˆŠC@„¬k
‘³“”x¯?k
k‹`2VXŒ9^FTf]©8*k¯?kŽn^WFOQ^=]FŽ*kŽ9dBiFj[FO%fF^=]^PF\'D?k[=^PFc]´ÂU›V‘¨©L«†š@®’©¦§£@‘œš@›4š/«U‘¨©¯°œ®<£f¦¡/•@’£@¦
œ›5‘.0œš@Ò¯>š@œ›5‘®-‘¨š-•:«”š@›5šf›5¦§œž›N0£fL¯*»š­©/£@®®œž›f­7]¸k8*WFR&OQZkŽb[FSU7T{f’¯*W=WF`kQ]ÁU`kCŠ‰ªˆŠŠ
“@
‘
‘œš@›w‘™†¨©›Nœž¤.’©+Ÿ©];¸U7[=PÁ
‘
”x¢
¬]W=W1k
VX“cøˆk
”x¯?kÁ?k5tOQ^jjU]M¢;k=·Mk=¢-jz9U7T&Z?Oj]
>
>
ãFš@›N¦§œž›N0£@Ò¯°/š­/£@®®<œ›@­Æ:Ÿ”¤-’-›N‘œž£f¦°’›5™š@›·Ÿ”‘/£@œ›5•W®œž›Nœž®œAŔ£r
O`ST]1wbSatDU7T&,]nªˆŠ
>
C¬k
kU¢U7PF£>^° `S£<VX¶1OQZ;^=]L8*k,¯?kŽn^WFO¤^Y]J^PF\4tbk,·MURBT&^=]jÂU›EÇ—0™.‘œž¥.-¦§ªW™š@®:¯°’©‘£f‘œž›f­J‘¨©£@›5£f¦±ªc‘œ™W™-›5‘.
š/«&‘¨©Ÿ†š@¦§’©‘œš@›VŸ†-‘“†ª:¯°œž®£@¦/•@’©£f¦°œ›5‘.0œš@JB¯%š@œž›N‘[®.‘¨©š-•cŸ]=Ž>Sj[1k©8¸SW1k7Š“V»„;C=]ÿ*SWFRkU_z¸U7Z;W=iFRB^V
R&OU7P=^`ò^PF\-¯*W=WF`O%S\§¢µ^RB[FSZ;^R&Ojd]*89OjS$¾yPFOžSTd&ORf]- bUFiFd&R&U7P1]1ŽŒÄ?kJŽU«^W=W=S^T–OQP
‡¯y¢B¸U7i=TP=^`
U7P%8*WFR&OQZ?O£^R&OU7P1k
‘¡C”Fùk] bUFj©,]^PF\’¨?k
j[FOR&RBUabd<O]L˜*†Ÿ†‘%†åc£@®:¯°¦§†ŸN«”š@v›Nš@›5¦§œ›5£@N¯°/š­»£f®<®œ›@­&™š-•@]
W=TOQPFcSTjÁST{`¤^c]
w–SaÈDUFT&]>ªˆŠC=ˆ¬k
‘³Š”¨yUfXOQZ;^=],¢
kF¢´O£i=PFU]
kmDUdB[FOd&S]*Ãi¯°œž®£@¦/•@’©£f¦œž›N‘-œžš@JB¯%š@œ›5‘v®-‘¨©š.•«”š@`¦§œž›N0£@¯*»š­©/£@®®œž›f­7]
·ATUc7TSddnOQP'¢Ÿ^RB[FSZ;^RO%j^`7·!TUc7T&^Z;ZhO¤PFc*‡#PR&STOU7TXVX·MUOQPR^PF\W89S`Q^R&S\?¢-SRB[FUF\=d]wbOQZ;T{U7\?¢-ScO\=\=U
S\=OR&U7T]
W=TOQPFcST‡ÁST`Q^c],wbSaVDUFT&]MªˆŠCŠ¬]7W=W²ŠVrø
k
‘Qˆ-”f 'kj¸kM¢µ^TR&OQPFS£]!kM·^T&^\^=]^PF\Q8*kM¯?kòŽM^WFOQ^=]<ÂU›Q‘¨J™†¨£@/£@™-‘.0œAŔ£f‘œžš@›Xš/«EɌrŸ†’†¯%-¦±œ›5£@W™š@›m
¥.-­©.›5™oš/«4¤-’£cŸ†œ5]ãF.³‘š@›#œ›5‘.0œš@JB¯%š@œž›N‘®.‘¨©š-•cŸ«†š@o›Nš@›5¦§œ›5£@:¯°/š­»£f®<®œ›@­F]òŒAU`k
¢-S•FO%j^P=^'ÁU`kQˆ‰ªˆŠŠ“¬]7W=W1k>ˆ.„
UFjk>¢Ÿ^Rk
VBˆ†øªCYk
‘Qˆˆ©”k=·^T^\^=]´H(š@®:¯°’‘£@‘œš@›5£f¦L†å¯>-œ-›5™&³œ‘¨o£W®š-•@œ ÐH•W£@’.­©®.›5‘•‰ˆL£†­©/£@›f­©œ£@›4®-œž‘«†’©›N™-‘œš@›Jœ›
£`¯°œ®<£f¦¡/•@’£@¦[œ›5‘.0œš@J¯>šfœž›N‘®<.‘¨©š-•]J·A[1k¡ÿ;kFRB[FSd&Od]ŽSj©[1kN89SW1kJŠ
VBˆ²=]Fÿ*SWFRkFU_!z9U7Z;W=iFR<^R&OU7P=^`
^PF\®¯xW=WF`OS\-¢Ÿ^RB[FSZ;^RO%jd]589OjS¾yPFOžSTd&ORf]à –U7iFd&RU7P1]=ŽŒÄ’k
‘Qˆ²”¨?k
j[FOR&RBUabdBO]jF¬š@/V‘†Ÿ†‘v†å¹£f®U¯*¦±+Ÿv«”š@›Nš@›5¦§œ›5£@v¯°/š­©/£@®®œž›f­J™0š.•@†Ÿ]
DU7T]nª{ˆŠC
¬k
ˆ[C
W=TOQPFcST@VÁST`Q^c]w–Sa
‘Qˆ-„”f 'kjD!^Z;^dB[FORB^Y][Ã
­©¦§š©“£@¦ž¦§ª4™š@›5¥.-­©.›5‘¯*0œ®£@¦»•@’£@¦vœž›N‘-œžšf&¯%š@œž›N‘®.‘¨©š-•«†š@W™š@›·Ÿ”‘/£@œ›5•Jš¯*‘œ5
®œAŔ£@‘œš@›,]Ž>Sj[1k589SW1kv]=¢Ÿ^RB[FSZ;^RO%j^`
f7dR&SZ
‡#PFdR&ORBiFR&S]‡@PFjkQk¸7^W=^P1]òªˆŠŠ²¬k
ˆŠ