¦¨§© ª«ª¬¯®±°8²2¬¯£¤h¬¯£¢
"!#
$%&!#$(')*,+,-&!/.0-213$4
5#6
'78!2
9:<;>=
?*@BADCEFGCH?*IJLKNMPORQGS3TUFUVWOYXZ>[*ZFG\]S_^,OYFG@`badcaFDefVgLAUORgWgBOh@
ij]kGlnmBoqprjBstovuwrxzy|{Y}W~qL}unmWsjL
fsN~jBm}~qoq{Y*WoPyUlln32_LN|
q*n2zt U¡¢n££¤¥
³ §´ -µN¶·«¸ § N¸B © N¹*·«º-µv¹-·¼» §´ rµN·¼»µ: © »½:®9N © »½º°¸ §R¾ © ½"²¿·ÀN¸
Á ¬ © R½¹ § © ¸B*·À¹±-µN* © ¹ ©-¾ n-· § §´2à ¶Ä¶·¼-N¸Bű*·À¹-¸LN¹-¹·«¹ § ÆÂ § ¹-¹-· à ª¼8¹ § © ¸B
§´ ¶·¼-N¸BÇN·Àª«-· § Èt" § © t¹ ¾ © ¹Éª¼¸B ©-§ ¶n»NL-·«¸ËÊNª«N¹·«Ì-µË¸L¸Bª¼ © n-·«»
¸L ¾ ·«-·¼¹ §´ -µ,ª«·«N¸v¸LN¹ à ½-µN, §hÍ © ¸ § NÂtª¼ © » § ¶,L © ½Å,εt·«¹ÆµN¹_ª © ½ à L
´P§ NNÏ §,à _,¹-·¼»t·¼Êt¸LD±BиB8·« ¦z§© ª«ªÒÑÓ¹¨®9°²Ô·«YÕ¸B §© ¸L ¾ ·¼-·¼¹8· ´2§ Nª¼½ § 3¸ § Âtª« ©
 © ¸L ¾ ·«¯½:·«¹¸µ § ¹#Å¨Ö © Í 3 © ¹-| © ¹-Nª¼-¹ §´ ¹-·À¶NªÀn-· § N¹ ´P§©Æ¦z§© Nª«ªÒÑÓ¹×¶·«®9°8²
ªÀ·«N¸ Í ·¼-µ"-µ © L § ¹-¹-· à ª« ¸ § Âtª¼ © ¸ § Êt» © n-· § N¹ÆN˸ § ¶, © ,-µ¶ Í ·¼-µ © L» © t¹ §
§ -ªz §© ¶rª«·¼ØL˶·¼-t¸Br» ©-§hÍ -µÙ ´ © § d¸ § ¶,Âtª¼Lrª §D§ ÂÔ-µ ©-§ »µÇ-µdª«·«N¸nÅÚÇ
µt ¾ §Ã ¹ ©-¾ Û-µNn-µÔ¹-·¼» §´ -µÇÂtµt¹ÔN·Ð © N¸B à L Í LÜ-µNÇ © N¹ ¾ © ¹-ÔÝU·À¸-Ý
t:-µ ¸L¸Bª« © n-·«» ´§© ¸Bª¼ © Nn¹¸µÉ¸L ¾ ·¼¯½Å×εt·«¹×ª¼N¹8 § L»ª«·«»· à ª¼*¶·¼-N¸B
» ©§RÍ -µ Í ·¼-µÞ § B¬¯¹-·ÀÞ¸ § Âtª¼ © ¸ § NÊN» © n-· § bNÞ § G¬¯L»ªÀ·¼»· à ª¼» ©-§hÍ -µ Í ·¼-µÞ
ª« © Nn-·«»v¸ § Âtª¼ © ¸ § ÊN» © n-· § #Å ³ Nª«½ ´ ©¨§ ÂN-·«¶·«Ø·«»_-µ*ÂtµN¹*N·Ð © N¸B § ØL ©-§
§ ª«ª#¸ § ÊN» © n-· § N¹ © ¹Nª¼·«ºL»ªÀ·¼»· à ª¼*¶·¼-t¸B3» ©-§RÍ -µ#Å
nß à ßLáÉâ ãäåºæÉçvâßYäá
[*FG@COYMMè C\éUOY@VW\gQH\PV"JYI@@WOhCNgWMQH\PCêgBZOX@WFtJYOYVVËFUëEOhVW\`GC\PC`7AUC>ì×COh@W`UQîí3OYJYFéUOY@Q4ï\PC#AUJ
ð ìí ï9ñADVdAÇCOòtg`GOhCOY@WADgB\FGCòNó@BAnQÞVFGI@JYOUcôvVFGXXõFGVOYEÈgBFÙX@WORét\PFGIVdöíVWFGI@JYOhVd÷3Z\JLZÌVgBFG@O
OYMOYJRgB@WFUCVëøFG@ ù\PMPM\PFGCVÆFUë¨gWI@WCV\PC<A"VgWFG@BAD`GO@\PC`S¿ìí ï&VJY\@WJYIMqADgWOrOhMPOhJhgB@FGCVFGCMQÔFUCJYOºA|géUOY@Q
Z\`GZúOhCOY@`G\POhVvADCEú@OYJhFéUOY@ gBZOh\P@3OYCOh@W`UQÔgWF"û¿OIVWOhE\PCÇgBZOAUJhJYOhMPOY@WADgB\FGCÙFUë¨COR÷OYMOYJRgB@WFUCVYcü_ZO
X@FGXõFUVWOYE[*FU@WCOhMPMý^ORþÿìíïÇJhFGCgLAU\CVzg÷FAUJYJhOYMPOh@BADgW\PC`VgBAU`GOYVhc¨ü_ZO_OhMPOYJRgB@FGCV¨AD@WO_AUJhJYOhMPOY@WADgBOhE
ûQ:g÷*FdVWOYXAU@BADgWO tcýr^ORþM\PC#ADJYV×JYFUCCOYJRgBOhEÇûNQArCFGCóAUJYJhOYMOY@BA|gB\PC`r@OhgWI@WC"MPFtFGX SGgBZOYCÉJh\P@JYIMPADgBOhE
gBZ@WFGI`UZÉgBZO,[*FG@WCOhMPMfìMOYJRgB@WFUCÔötgBFU@BAU`GOí \C` ð [Æìöívñ*ADCEÇVWOhCNg3ûAUJLK"\CgBFgWZOMP\C#AUJhV8ëøFG@OYCOh@W`UQ
@WOhJYFéGOh@QUc CÞ@OYIV\PC`"gBZOÏOhCOY@`UQFDëOYMPOhJhgW@WFGCûICJLZOhVdìí ïV,AU@WOdJnAUXAUûMPOdFUë8AUJhJYOYMOY@WADgB\C`ÉMPAU@W`GO
JYI@W@WOhCgBVADg3Z\P`UZÙOhCOY@`G\POhV ADg3@WOYAUVWFGCAUûMPOJhFGVgYc
ôvCÞ\ù"X¿FG@WAUCg,AUVXõOhJhgFUë8gBZOºOhMPOhJhgB@FGCÞû¿OnAUùÙS OYVVWOhCNgW\qAUM×\CgBZOºJh@WOYADgB\FGCÞFUë8Z\P`UZMQÔëøFtJYIVOYEòNó
@BAnQtVYS¿\PV3gBZOdOhù"\ÀgWgLADCJYODc C<FG@EOY@3gBF"JY@OnADgWOrgW\P`GZgBMÀQËëøFtJYIVOYE@WAUE\qA|gB\PFUC SgBZOdV\ YOdAUCEúE\éUOY@`GOYCJhO
FUë,gWZO<OhMPOYJRgB@FGC4ûICJLZOYVÙAUCEHgBZNIVÉgWZOOYù\ggLAUCJYOÙùÏIVgÉûõO<VWù"AUMPM3AUCE>ùÏIVgÉûõOúùÉAD\PCgLAU\COYE
AUV,gBZO"OhMPOYJRgB@FGCVrAU@WOAUJhJYOhMPOY@WADgBOhE)ADCEÌJh\P@JYIMPADgBOhE c:ü_ZO"`UFAUM×FUë8gBZO"[*FG@COYMMìíïî\V,gBFÔZ#AnéGOÉA
CFG@ùÉADMP\ hOYEÔOYù\ggLAUCJYOr\PCJh@WOnADVWOrFUë×CF"ù"FG@OrgWZ#AU
C Ëc_ü_ZOCFGCóM\PCOYAU@W\ÀgB\OYV_\PCÔgBZOÏAUJhJYOYMOY@WADgBFG@
JnADIVW\C`:OYù\gWgBAUCJhO,E\PMIgB\FGCËùÏIVg ûõOVgWIE\OYEúAUCEÙAUJYJhFGICgBOhEúëøFG@ÆgWF"VWADgB\VëÒQ"gBZ\V_`GFAUM]c
ü_ZOvì8í ïIVOYVÆVIXõOh@WJhFGCEIJRgB\C`º@BAUE\PFëø@WO NIOhCJhQ ð í ×ñ×JnAnét\gW\POYVhc ±F÷OY@ÆJhFGIXMOY@VÆAU@OXMPAUJYOhE
COYAU@9gWZO8OYCgB@WAUCJYOFG@&ORò\g±FUëgBZO8JnAnét\gW\POYV&gBF VWIXXMQrADCOYMOYJRgB@W\J #OYMEd\CrgWZOMFGC`G\ÀgBIE\PC#AUMDE\P@OYJRgB\PFUC
\PCÞFU@WEOh@gWFÙAUJYJhOYMPOh@BADgWOÏgBZO:X#AD@gB\JYMOYVYc gr\PV,AUEéUADCNgBAU`GOhFGIV,gBFÔIVOFUCMQ<FGCOºJYFUIXMPOh@,XõOh@JnAnét\gQGc
aF÷OhéUOY@YS9EIOÏgWFËgBZ\VAUVWVQtù"ORgB@W\JÏ`GOhFGù"ORgB@Q<gBZO #OYMEÞJYMPFUVWOÏgBFËgWZOºJYFUIXMPOh@\PVvCFUg@WFDgLADgW\PFGC#ADMPMQ
VQtùù"ORgB@\PJADûõFGIgÉgBZOJnAnét\gQîA|ò\PVÉAUCE>X@FEIJYOYVËAÌgB@WAUCVéUOY@VWOÈKN\PJLKêFGC4gBZO<OYMPOhJhgW@WFGCVhcÄü_Z\V
JYFUIXMPOh@dKN\JLKÈéDAU@\POhVAUVAÙëøICJhgB\FGC)FDëÆgB\ù"OAUCEbgBZNIVhS¨EIOgBFúgWZO C\gWO"MOYC`UgWZ)FUë_AUC)OhMPOYJRgB@FGC
ûICJLZ S E\ÀefOh@WOYCg,XAU@gWVFUë¨gWZOÏûICJLZbOòXõOh@W\POhCJYOºE\eõOY@WOhCgKN\PJLKNV,MPOYAUE\C`gWFËOYù\ggLAUCJYO`U@WF÷_gBZ c
ôvV\PMMPIVgB@BA|gBOYEÇ÷3\ÀgBZ<V\Pù\PMPAU@ÆVgWIE\OYVEOYAUMP\C`º÷3\gWZúgBZOÏìíï VvXZFUgBFG\C OYJRgBFG@hS¿AUCÞAUXX@WFAUJLZúgBZ#ADg
JnADCÞûõOrgLAUKDOYCgBFÉ@WOYEIJYOºJhFGIXMOY@vKN\JLKtV,\VEOYJY@OnAUV\PC`ËgWZOºAUVQtù"ùOhgW@QÙ\PC<gWZOJhFGIXMOY@`UOYFGùOhgW@Q
cÌOZ#AnéGOrORòAUù\PCOhEÙgWZOOheõOYJRgBV3EIOgBFºgBZ@WOYOX¿FGVWV\PûMO,JYFGIXMPOh@ JhFGC #`UI@BADgW\PFGCV
[*FGIXMOY@WV AUMMfFGCÙFGCOV\PEO
[*FGIXMOY@WV AUMÀgBOh@WC#ADgW\PC`VW\PEOrORéGOh@QÙJnAnét\gQ
[*FGIXMOY@WV AUMÀgBOh@WC#ADgW\PC`VW\PEOrORéGOh@QÙJY@QGFGùFEIMPODSFG@_OhéUOY@Q ºJnAnét\gB\OYVhc
ôvV3AºX@OYM\Pù\PC#AU@QZNQtX¿FUgBZOYVW\V3FGCO,ù\P`GZg_`GIOYVWV_gWZ#ADg_gBZOrOhù"\ÀgWgBAUCJYOv`G@WF÷_gBZÔ÷3\PMMõéDAU@QËùFGCFDó
gBFUC\PJYAUMPMÀQ÷3\gWZgBZO*VQtù"ùOhgW@Qd\PCgWZOÆJhFGIXMOY@zEOYVW\`GC czaOYCJYOUSNFGCO*÷*FUIMPEÏOòXõOhJhg×gBZADg×AUMÀgBOh@WC#ADgW\PC`
gBZOJYFGIXMPOh@WV*ORéGOh@QËJYAné\ÀgQ"÷3\MPM2Z#AnéGOgBZOMOnAUVg*ORefOhJhg_FUCËOYù\ggLAUCJhOUSNëøFGMPMF÷*OhEÉûQËAdJYFGC `GI@BA|gB\PFUC
AUMÀgBOY@C#ADgW\PC`3gBZOJYFGIXMPOh@WVzORéGOh@QÏùFtEIMPODS|÷3\ÀgBZAvJYFGC #`GI@WADgB\FGCKDOYOYX\PC`vgWZO*JhFGIXMOY@V¨FGCdgWZOÆVWAUù"O
VW\EO,ëøFG@_OhéUOY@QÔJnAnét\gQÇJYAUIVW\C`:gBZOMqAD@W`GOhVg3OYù\ggLAUCJYO`G@F÷_gBZ c
ÌOËZ#AnéGOÙAUMVWFJYAUMPJhIMqADgWOYE7gWZOÇOheõOYJRgBVºEIOËgWFÞXMqADJY\PC`<g÷*FÈJhFGIXMOY@WVºE\P@WOhJhgWMQÌFGXX¿FGVW\ÀgBOÉOYAUJLZ
FUgWZOY@,A|gOhéUOY@QJnAnét\gQUS OYM\Pù\PC#A|gB\PC`:gWZOºAUVQtù"ùOhgW@Q<AUCE<gWZOgB@WAUCVéGOY@VWO:KN\PJLK2cröIJLZbAÉVJYOhC#AU@W\F
÷FGIMPEHûõOÔéGOh@QêJYFUVgBMÀQêAUCEêgBZNIVÉFUCOúFDëvgBZOúgBZ@WOYOÙJYFUC #`GI@WADgB\FGCV"AUû¿FéUOú÷FGIMEHû¿OúX@WOhëøOh@W@OYE
AUVMPFUC`ÔAUVgBZOORefOhJhgWVdFGCÞgWZO:CFG@Wù"AUM\ YOhEOYù\ggLAUCJYOºEFÔCFUgOòJYOYOhEÌgWZO:EOYV\P@WOhEÌM\Pù\gFUë `G@F÷_gWZ c
ôvMMÆ@WOhVWIMÀgBV"Z#AnéGO<û¿OYOhCîFGûgLAU\COYEê@WICC\PC`bVW\ùÏIMPADgB\FGCVÏ÷3\gWZî? ú
ô ÏS8AÈVWIû@FGIgW\PCOÙMP\û@BAU@Q
EORéGOYMFGX¿OYEA|g[*FG@WCOhMPM&è C\éUOY@WV\gQÔûQ ,Anét\PE<öAU`ADCÙORgAUM c &EOhVW\P`UCOYEÙgBF:VW\ùÏIMqA|gBOgBZOrEQCAUù:ó
\PJhVdFDë_@WOhMqADgW\ét\PVgB\PJºJLZAU@W`GOhEÛX#AU@gB\PJhMPOhVgWZ@WFUI`GZ7Z\`GZ)OhCOY@`UQÌAUJYJhOYMOY@BA|gBFG@VÏAUCEÌVgWFG@BAU`UOÉ@W\C`GVhcÇô
^AUIVWV\qAUCÇE\PVgW@W\ûIgB\FGCÉFDë±ý dOYMPOhJhgW@WFGCVÆ÷3\ÀgBZË\C\gW\qAUM2CFU@Wù"AUMP\ YOYE"OYù\ggLAUCJhOvFUë Cù \CÉgBZO
òÜADCEÛQ)E\@WOhJhgB\FGCÜAU@OËVWOhCNg:gWZ@WFGI`GZÜAÞMqADggB\PJhOUS¨ZFUe Oh@WM ý c MqA|gnS×@WOhX@WOhVWOhCNgW\PC`ÞgWZOÔìíï
AUCEË[Æì8öírcNü_ZOOYù\ggLAUCJhO3ADgOnAUJLZ"OYMPOhù"OhCgFDë gBZO MqA|gWgB\JYO_\V8JYAUMPJhIMqA|gBOYEAUCE"gBZO@OYVWIMgBVëøFG@×gBZO
ëøFGI@_X@WFGX¿FGVWOhEúJhFGC #`UI@BADgW\PFGCVAD@WO,JYFUù"X#AD@WOYEfc
ßYßnà ççæ_âßYä,á ä çâ ãäá_â ßYç ß!±å#"ÞßLá$çrç%&Æã'_â ßLá
ç)(Ïßâß!%"*áå â%+,ÆßLã çäæ-.&Æã0/ßYç%/"
? úô ùÉAUKDOYV\ÀgX¿FGVWV\PûMOgBFÉVW\PùIMqADgWOdgWZOÏOheõOYJRgBV,FUëAËJhFGIXMOY@ûQ\CXIgW\PC`2ÇX#AU@WAUùÉA|gBOY@V
1
JYFUIXMPOh@ ADgYS2JYFGIXMPOY@ AUC`GMOUS2JYFUIXMPOh@ VgB@WOhC`UgWZ SõJhFGIXMOY@ XZ#AUVO 3 c [*FUIXMPOh@ ADgVWX¿OYJh\ #OhV÷3ZORgBZOh@
gBZOJYFUIXMPOh@v\Vvû¿OhëøFG@OFG@vADëÒgBOh@ gWZOÏJnAnét\gQUc,[*FGIXMPOh@ AUC`UMPOr\PVgWZOE\P@WOhJhgW\PFGCÙ÷3\gBZ<@WOYVXõOhJhggWFÉgBZO
ZFG@\ hFGCgLAUM \PCî÷3Z\PJLZ4gBZOKN\PJLKê\PVÇAUXXMP\OYE c 2FU@ÉFGCOóV\PEOhE>JYFGIXMPOY@VÉgBZ\PVÉXAU@BAUùOhgWOY@"\PVÉVOhgÇgWF
4 5AUCE)ëøFG@gBZOÉFUgWZOY@rg÷*FJhFGC #`UI@BADgW\PFGCVdgBZOËAUMÀgBOY@C#ADgWO"V\PEOhE7JYFGIXMPOh@Z#AUVd\gWVdJhFGIXMOY@ ADC`GMPO
VWORggB7
F 6 4 85YcË[*FUIXMPOh@ VgB@WOhC`UgWZÌ\VgBZO:gB@WAUCVéUOY@VWOÉKN\JLKCFG@ùÉAUM\ hOYEgBFÇgWZO"OhCOY@`UQÞ`AD\PCÈ\PCÞgBZO
JnAnét\gQA|g8gWZO ùÉA|ò\ùÉAUMMQdAUJhJYOYMOY@WADgB\C`XZ#AUVOUSADCE"JhFGIXMOY@ XZ#AUVOv\PV×gWZOXZ#AUVWO FUëõgBZO3gB@WAUCVéUOY@VWO
KN\PJLKÌ@WOYMPADgB\ÀéGOgBFgBZ\PVXZ#AUVWODcÌü_ZOYVWOÔMPAUVgdg÷*FÈX#AU@WAUùOhgBOh@WVºAD@WOËFGûgLAU\COYE)gWZ@WFUI`GZÜAUCÛ\CÛEOYXgWZ
JnADMPJYIMqADgW\PFGCËFDë±gWZOJYFGIXMPOY@3KN\PJLK2c
z\@WVgWMQUSNgWZOOhMPOYJRgB@FGùÉAD`GCOhgW\PJ #OYMEË\PCVW\PEOgBZOJnAnét\gQ"EIOvgWFgBZOJYFGIXMPOh@*ùÏIVg_û¿OvJnADMPJYIMqADgWOYE c
ü_Z\V*JnADMPJYIMqADgW\PFGC:\PV8EFGCOvIgW\PMP\ Y\C`r[_ö9
ü ú\PJh@WF÷*AéUOötgWIE\PFUV ð : öñ 8]SArVWFUëÒg÷*AU@WOvIVWOhEÉëøFG;@ OYMOYJRgB@WFUùÉAU`UCOhgW\PJ #OhMPE:VW\ùÏIMqA|gB\PFUCºFUëfZ\P`GZ:ëø@WO tIOYCJRQÉADXXMP\JnADgW\PFGCVYc9ôÿg÷FJhOYMMù"FtEOhM#FUëfgWZO_gB@WIO
VWORéGOhC<JYOhMPM&í 7JnAnét\gQÇIgB\PM\ h\PC`rgBZOü9OYVWMPAº`GOYùFORgB@QË\PV_\CXIgWOYEÙ\PCgBFÏgWZOX@WFU`G@BAUù ð ±\P`c ñRc×üÆ÷F
VWOhX#AU@WADgBO_JYAUMPJhIMqADgW\PFGCV¨AU@O_@WICºëøFG@zg÷FE\eõOY@OYCgû¿FGICE#AD@QÏJhFGCE\ÀgB\FGCV×ADgzgBZO_OhCE:FUë2gBZO_JhFGIXMOY@ X¿OY@ëøOhJhg_OhMPOhJhgB@\PJ ÷ÆAUMM¿AUCEÇX¿OY@ëøOhJhg_ù"AU`GCOhgB\J ÷*AUMM czü_ZOYVWO,û¿FGICE#AU@Q"JYFUCE\gW\PFGCV*AU@OvEO #COhEÙVIJLZ
gBZAD.g <
=)> :AUC@E ?AB> c CÙgWZOJYFAò\PAUMfJhFGIXMOY@3\PC÷*AU@WEÔgB@WAnéGOYM\PC`Ï÷*AnéGOhVAU@Or`U\éGOhCúûQ
ð ñ
<DC:>9EFG HÔJYFGV Jð ILK 6NM)OQPSR&TVñ U!?C:>9EXW G HÙJYFGV Zð ILK 6[M)O\P]R&TRñ
Y
÷3Z\JLZ/JYAUC/ûõOéUOYH8@Wb\\ #c OYEÿûQ>\CVWOh@gB\FGC>\PCgWHB
F <A|òt÷*OhMPM VÇO tIADgB\FGCVÔAUCEÿJLZOhJLKN\PC`êgBZOÞû¿FGICEAU@Q
JYFUCE\gW\PFGCV <^ Jð _a` Yed fñ > rADC,E ?g Zð _h` bic Yjd fñ > c¨ôvC:FGIg÷*AU@EgW@BAnéGOhMP\PC`÷*AnéGO Z#AUV×gBZO3ëøFU@Wù
Å n/ Íz§
B¸ ª«ª
Ú˶ § ª §´ Ç®9°²Þ¸L ¾ ·¼¯½Ç-·«ªÀ·¼Ø·«»Î¿¹-ªÀd» § ¶L © ½ ´P§© -µ·«NÂt¸ § NÂtª¼ ©
Nº-µN3¸Bª«ª2¹-µNnÂÅ ´ tª«ª®9°8²ú¸L ¾ ·¼¯½:¸ § D-·«N¹v¸Bª«ª«¹LÅ
ð Gñ
YJ FGV Zð ILK P M)O P]R&TLñjU!? > 6 EXW G H JYFGV ðZILK P M)O P]R Tñ
Y
ü_ZO VgBAUCE\C`r÷*AnéGOX#ADgWgWOY@CVJYFGùXIgWOYE"÷3\ÀgBZ: öAU@WO3VWIXõOh@WX¿FGVW\ÀgB\PFUCVFUëf\C÷ÆAU@EÉADCEÉFGIg÷ÆAU@E
gB@WAnéGOYM\PC` ÷ÆAnéUOYVYS <
=f>9< C 6< U <AB> < C P< U!?'=)>9? C P,? U ?AB>9? C 6? SD÷3\gWZ R&T > c
CÛAÙJYFA|ò\PAUMJYFGIXMPOY@rgBZ\VdùOnADC
V <
= > EF F V\PC ðJILK ñV\PC ð M)OñjU <A > EF F JYFGV ðZILK ñJhFGV ð M)OñjU!?'= >
EXW F JYFGV ðZILK ñJYFGV ð M)OñÏAUCS
E ? A > E W F V\PC Jð ILK ñV\PC ð M)OñRB
c : öÛFGCMÀQ7JYFUù"XIgBOYVºgWZOÔVgLADCE\PC`
÷*AéUOX#A|gWgBOh@WCV<
=VU< A U?' =3AUC
E ? A4÷3\ÀgBZFGIggW\PùO,EOYX¿OYCEOYCJhOÏVWFgBZ#ADg <
=;><
=VW\C ð M)OñVU <AS>
< A JYFGV ð M)Ojñ U ? = > ? = JYFGV ð M)OñvAUC7
E ? A > ? A V\PC ð M)OñRcü9FÔùÉADKUOºVWI@WOºgBZ#A|g,gBZOºVgLAUCE\PC`Ë÷*AnéGO
X#ADggBOh@WCV9JYFGùXIgWOYE÷3\gWZ örZ#AnéGO8JYFU@W@WOhJhgzAUùXMP\ÀgBIEOhVf÷O\CNéUOYVgB\P`GADgBO×gBZOYù\PCVW\PEO¨gBZOJYFGA|ò\qAUM
JYFUIXMPOh@:AUCEÜ÷*OÙVWJYAUMPO ? = VFbgWZ#ADg:\ÀgBV:AUùXMP\ÀgBIEOË\PVÏgWZ#ADg:FUë < A E\Àét\PEOhEêûQÜJDc #I@gBZOh@WùFG@WO
÷OÇAUE IVggWZOÉV\P`GCVrFUëÆgWZOËVgLAUCE\PC`Ù÷ÆAnéGOhVºJYFGùXIgWOYE)÷3\ÀgBZ : öÌVWIJLZ7gBZ#ADgdgBZORQb@WOYX@WOYVOYCg
X¿FGVW\ÀgB\éUO,JYFGV\PCOrAUCEúV\PCO,÷*AéUOYVhSõgLADKt\C`ºgBZOFG@\P`G\CÔADg_gBZOdû¿FGICEAU@QÇFDë±gWZOJYFGIXMPOY@hcô ëÒgBOh@3gWZ\PV
CFG@ùÉADMP\ YADgB\FGC"gWZO,g÷*FVgBAUCE\C`º÷ÆAnéUOYVAD@WOJYFGùû\PCOhEÇé\PA
ð ñ
< > ð < A P < = ñ d !#"%$ U!? > ð ? = P& ? A ñ d !'"($
gBF@OYJhFGCVgW\gWIgBOÿAÄ÷*AéUO>gB@BAnéUOYMP\C`EF÷3C gBZO>JhFGIXMOY@YS < *),+.-0/ = F > EF F d 21#35456"%$87 U!? 9):+;-0/ = F >
EXW F d 21#35456"%$87 c
èV\PC`"gBZOºïFG@OYCg ÏëøFU@WJYOMqAn÷÷*OºJYAUC #CEgWZOëøFG@JYOÏFUCgBZOÏOhMPOhJhgB@FGCVEIOÏgBFÉgWZOYVOºOYMOYJhgW@WFDó
ù"AU`GCORgB\PJ #OYMEVYS
ð 2Nñ
<> d ð <BP&=?> ?:jñ U
AUCEÏgWZOYC:JYAUC #CEÏgWZOÆgBFUgBAUMtJLZ#AUC`GO_\CÏùFGù"OhCgBIù0FUëõAUCºOhMPOYJRgB@FGCgBZADg¨gB@WAnéGOYMVAUMPFUC`gWZOÆJYOhCgB@BADM
A|ò\PV_FDë±gWZOJnAnét\gQÇ÷3\gWZÇgBZOVWX¿OYOhE<FUë±MP\`GZg
< >9EF G H
@BA
>
d
C $8D
$FE
<
ð K U OñQP
Y E
4 >
?
ð K U Oñ HGO
ð ýGñ
÷3\gWZ > JRg_\PV3AëøICgW\PFGCÇFUë&gW\PùOUcÌO,JnAUCÔJLZ#ADC`GO,FGI@_\CgBOY`U@BADgW\PFGCÉéDAU@\qAUûMPOAUCEÔ@WOR÷3@W\gWOì¿c ð ýUñ
AUV
CKJ
,ð M ñ
@IA > d
< ð K U K6L Y ñ P Y E >*? ð K U K6L Y ñ HG K 4
T
Y
2
ÿ\gWZËgBZO,JhFGùXMPOò <0AUCE? FDëzì2c ð ñS @BA \V_AÏJYFUù"XMORòÉCNIùÏû¿OY@_FUë&÷3Z\JLZÙFUCMQgBZO,@OnAUMfX#AU@g
\PVXZQtVW\PJYAUM S @BA $ + / > d @IA > @BA -JYFGV
9Sõ÷3ZOY@WO
b\PV gBZOAU@W`UIù"OhCgFUë @BA c ü±FËû¿OhggBOh@
ICEOY@WVgLAUCEúgBZOrEOYX¿OYCEOhCJYOdFUë
ú÷*OrVgWIEQÇgBZOr\CgBOY`U@BAUM FDë¨ì2c ð*M ñRc
èV\PC`ºgWZO,ëøFG@WùV_FU&ë <ADC:E ?ëø@WFUù ì 2c ð ñ*÷*OrJnAUCÇ÷3@\gBO @BA AUV
@BA
CKJ
d
>
Y
T
ðK ñ
< A
ð ñ
PJ< = JK P
#FG@_AUCÔOhMPOYJRgB@FGCÙAU@W@\ét\PC`ÏADg a> :ADg_gW\PùO
@
Y E
4 >
ð ñ
? = K QPZ? A
4 SLO ð K ñ)>
O >
ð K ñ d !#"%$H1 4;7 G K ð Gñ
4 c×ôÄgB\ù"OEOYMPAnQËgBZNIV_MOnAUEVÆgWFA
gBZOr\CgBOY`U@BADgW\PFGC
4
C
JYFUCVgBAUCgXZ#AUVWOrVWZ\ëÒg_÷3Z\JLZÙ÷OdJYAUCÙ@WOYùFéGO,ëø@WFUù
ð ñ
@BA ð @ K f
ñ > @BA ð ñ d ! 4 #@WFGù ì 2c ð ñd\Àgr\PVJhMPOYAU@rgWZ#AD
g @BA ¿\PVrJYFGCVgLAUCg:ADCE)gBZOÉOheõOYJRgºFGC @IA EIOÉgWFAUC7FDefVOhgÏFDë A
X#AU@gB\JYMPOÔûQ @ K \PVùOY@WOhMQêAb@WFUgBADgB\FGCH\CHgWZO<JhFGù"XMPORòêXMqAUCODSÆFG@ÉAÌJLZ#AUC`GO<FUë 6 " @ K \CHgBZO
AU@`GIùOYCg ÞFUë @IA c_ü_ZOAUJhgWI#AUM9JLZ#AUC`UO\PCÙùFGù"OhCgBIù ëøFG@AUCúOYMPOhJhgW@WFGC<gWZOY@OhëøFG@OdEOYX¿OYCEVvFGC
\gWVX¿FGV\gB\FGC:@WOhMqADgW\éGO_gWFdgBZOvJYOhCgBOY@FUë gWZOvûICJLZ c gÆ\VORòAUJYMÀgQ:gBZ\V @ K EOYX¿OYCEOYCJhOgBZ#A|g*JYAUIVWOhV
gBZOOhù"\ÀgWgBAUCJYO:`G@F÷_gBZbEI@W\C`ÙAUJYJhOYMOY@BA|gB\PFUC S&AUVrOYMPOhJhgW@WFGCV\CbE\eõOY@WOhCgdXAU@gWVdFUë8gBZOûICJLZ)÷3\MPM
ORòX¿OY@\POYCJYOrE\eõOY@OYCg Kt\JLKNVYc
ôvCFUgBZOh@zX#AD@BAUùOhgWOY@¨A|efOhJhgB\C` @BA \PV9gBZO*XMqAUJhOYùOYCg¨FDë#gBZOÆJhFGIXMOY@hc CÏgBZO_ìíïËgBZOÆXõFUVW\gW\PFGC
FUë±gBZOJYFUIXMPOh@ AUMgWOY@WCADgBOhV OYAUJLZ<JYAné\ÀgQÔûõORg÷*OhOYC<gWZOrûõOh`G\PCC\PC`AUCEÔgBZOdOhCEúFDëzgBZOdJYAét\ÀgQGc8ü_ZO
#OhMPEV,FGûgLAU\COYEëø@FGù gWZOºVW\ùÏIMPADgB\FGCV @WICÞ\7
C : öZ#AUEÞgBZOºXMqAUJhOYùOYCg,FUëgBZOºJYFGIXMPOY@ADggBZO
û¿OY`G\CC\PC`ÉFUëgBZOÏJnAnét\gQUcdü9FÇù"FtEOhM9gWZO #OhMPEV\CEIJhOYEÈûQÞAÉJhFGIXMOY@,A|ggBZOOYCEÈFUë×gWZOºJnAnét\gQ
÷OdIVO,gBZOVBADù"O #OhMPEV_ûIg gBAUKUOgBZOrù\P@@WFG@\Pù"AU`GO,ADCEúCOY`ADgWO,gBZO ? #OYME S
ð4 ñ
<9> < A ð 6 K ñ PZ< = ð 6 K ñ d !#"%$ U!? > 6 ? = ð 6 K ñ PZ? A ð 6 K ñ d !#"%$ ü9F:gWOYVg3\ëgBZ\PVÆgB@IMQ"EOhVWJY@\Pû¿OYV_gBZO,OYMPOhJhgW@WFGù"AU`GCOh\PJ #OYMEV_\PCV\PEOgBZO,JYAét\ÀgQÉ÷3\gWZËgBZO,JhFGIXMOY@3ADg
gBZOOhCEÉ÷OvùÏIVgÆEORgBOh@Wù\PCO3\ëõgBZOhVWO #OYMEV*@OYX@OYVWOhCg3Ar÷*AnéGOvgW@BAnéGOhMP\PC`dEF÷3CÉgWZO JYFGIXMPOY@hc ë ÷O
gLADKUOgWZOù\P@@WFG@3\Pù"AU`GOrFUë¨gWZO #OhMPEV\PCV\PEOgBZOÏJYFGIXMPOh@YSõgWZO < #OYME S¿÷3Z\PJLZÞ\PV X@FGXõFU@gB\FGC#AUMgWF
EFnS¿÷3\PMPM&û¿OICJLZ#AUC`GOhE caF÷OhéUOY@YS gWZ'
O ? OYMPEú÷3Z\PJLZÞ\VX@FGX¿FG@gW\PFGC#ADM&gWF Eº÷3\PMPM&Z#AnéUOÏJLZ#AUC`UOYE
E\@WOYJRgB\FGC c OY`A|gB\PC`gWZ%O ? #OhMPE\PC"ì ¿c ð 4 ñ@OhéGOh@WVOYVgWZ\PVJLZ#ADC`GO FUë E\@WOhJhgB\FGC c¨ö\PCJhO_gBZO FG@W\`G\PCAUM
#OhMPEVÆJhFG@W@OYVXõFGCEOYEÇgBF:ADCÇOYMPOhJhgW@WFGù"AU`GCORgB\J ÷*AnéGO,gB@WAéUOYM\PC`ÏEF÷3CËgWZO,JYFUIXMPOh@YSt÷3\gBZ"gBZO,EFUIûMPO
VW\`GC@WOhéUOY@VBAUM2gBZO COR÷ #OYMEV÷3\PMPMAU`AU\CJhFG@W@OYVXõFGCE"gBFdAUC"OYMPOhJhgW@WFGù"AU`GCORgB\JÆ÷ÆAnéGO gB@WAéUOYM\PC`rEF÷3C
gBZOrJhFGIXMOY@hc ÿ\gBZÇgWZOYVOdCOR÷COR÷ #OhMPEV_÷OdZ#AnéUO
C J
ð 6 K ñ 6 Y E 4 > ? = ð 6 K ñhP
ñ
ÿ\gWZÙA:JLZAUC`GOrFUë9éUAD@W\qADûMPOh>,ï ó ÷*OrJnADCú@Oh÷3@W\ÀgBOgWZ\PV3AUV
@BA
>
d
T
Y
ð
< A
C J
6 K hP Z < =
Z?
A
ð
ñ ! 4 G K d ! 6 K d
ð ñ PJ< = ðJK ñ 6 Y E 4 > ? = Jð K Qñ P ? A Jð K ñ d 4 G K d ! 1 J C F÷ ÷*OrAU@OdADûMPOgWFEO #COgBZOrJhFGIXMOY@_KN\PJLK @BA
>
d
Y
T
< A JK
!
>
@#"
@#"
4
>
@$" &% 1 ( '*) 7 1 + '*, 7.@ " d
#
4
4;7 4
ð ñ
ð ñ
ð Gñ
ý
AUCEÙVW\ù"\MqAU@MQºëøFG@ ÷3ZOh@WO
@#"
AUCE
>
C J
d
Y
T
@#"
ð K U K6L Y ñ
4
>
C J
d
Y
T
P
ð
ñ
Y K U K6L Y HG K
ð añ
ð h2Nñ
?Ëc*ü_ZtIVgBZOdù"AU`GCORgB\JëøFU@WJYOrFUë¨ì 2c ð aGñ
K
4G : öú`U\éGOhV gWZOrùÉAU`UCOhgW\PJ #OYMEúCFUgADV?ûIg >
\PV_JYAUMPJhIMqA|gBOYEÇét\qA
CKJ
T ñ.G K > E d CKJ ð T ñ.G K ð
ð ýGñ
@$" > d
T T
Y T
Y T
ö\CJYOvgWZO,VW\ùÏIMPADgB\FGCV\P:C : ö"÷OY@O@WICË÷3\ÀgBZÔA JhOYMPMõJnAnét\gQUS @BA 4 FUë&gBZO,ADJhgBIAUMQJhOYMPMõJnAnét\gQ
Z#AUV&û¿OYOhCgBAUKUOhCÏAUV cý*gB\ù"OhVAUVMPAU@W`GODc g&\PV&AUVVWIùOYEgBZ#A|g(
ð ñ > ð ! ñõ÷3Z\JLZr\VVBADgW\PV #OYE÷3ZOYCtó
OhéUOY@rAÇJnAnét\gQ÷3\ÀgBZÈAÇJYFUIXMPOh@,Z#AUVAËVQùùOhgB@QÞXMPAUCOUcdü_ZO:X#AU@WAUù"ORgBOh@WV,JYFUIXMPOh@ VgB@WOhC`UgWZÌADCE
JYFUIXMPOh@ XZAUVWO_\CXIgWOYEº\PCgWFvgBZOÆ1? ú
ô >MPADgWgW\PJYOEOYVJY@\Pû¿O*gBZOhVWO_JhFGIXMOY@¨KN\PJLKNVhc8[*FGIXMOY@ VgB@OYC`UgWZ
\PVrEO #COYEÜADV &P ! Yc C7FUI@V\PùÏIMPADgB\FGCV÷OËIVOÇAÙéUOY@gW\PJYAUMJhFGIXMOY@r÷3Z\PJLZ7X@WFtEJYIOhV
> bADCE > Þ\PCÛgBZOÙXMqAUCOÉò > ÞEIOÔgBFÈù\P@W@FG@VQtù"ùOhgW@QÛ\CÜgWZ\PVºXMqAUCODcÜü_Z\PVºMOnAUEVºgWF
> "ADCEÔJYFGIXMPOY@ VgW@WOYC`UgBZ > ! c
[*FGIXMPOY@ XZ#AUVO\PVEO #COYEÿAD$V ð ñSÆgBZOúXZ#AUVOE\eõOY@OYCJhOû¿Ohg÷OYOYC @#" AUCE @#" 4 c/ü_ZO
JYFUIXMPOh@ XZAUVWOb\PVËgWZOÌXZ#AUVWObFUërgBZOÈJhFGIXMOY@Ç÷3ZOYC/gBZObMPFUC`G\gWIE\C#AUM Kt\JLK>\PVÇù"A|ò\Pù\ hOYE S \ c OUc
ð @#" 4 fñ > czü_Z\PV¨XZAUVWO_\Vz\PC #IOYCJYOYE:ûQgWZOÆE\VgBAUCJYOgBZOÆJhFGIXMOY@¨\V¨An÷*AQdëø@WFGù0gBZOÆûõOh`G\PCC\PC`
FG@_OhCEúFDëzgBZOrJYAné\ÀgQGc
Yß ßhßnà ççæ_âßYä,á ä = $
ü_ZO:ORòtgWOY@WCAUM ë¯AUJRgBFG@,FUë*AÔJnAnét\gQÞ\V,X#AU@gW\qAUMMQÙEORgBOY@ù"\COYEbûQgBZOJhFGIXMOY@`GOhFGù"ORgB@QGc'ÌO
ùÏIVgdgWZOY@OhëøFG@O"\CéGOYVgB\`ADgBOº÷3Z\JLZ)JhFGIXMOY@r`GOYFGùOhgW@QÞX@WFtEIJYOhVdgWZO"@O NI\@WOY
E ë¯AUJRgBFG@,ëøFG@,gBZO
ìíïÜJnAnét\gW\POhVYcrüÆ÷*FÙXõFUVWVW\ûMPOréDAUMPIOhV,FU!ë = $ ëøFG@vgWZO:ìíïÜJnAnét\gQúgBZ#ADg,AU@WOºVgBIE\OYEbAU@"O = $ >
> $# AUCE%
> > '& 2 c CÙgWZOdì8í ï)JYAét\ÀgQÇgBZO\PùX¿FG@gBAUCgÆë¯AUJhgWFG@ ADeõOYJhgW\PC`ºgWZ(
O
\PV
gBZOºXMqAUJhOYùOYCg,= FU$ ë8gBZO:AUCgBOYCC#AÇ\PCV\PEOgWZOºJYFUIXMPOh@YcdôvV,\PMMPIVgB@WADgBOhE<\PC ±\P`c S gWZO:AUùFGICg= gB$ ZO
AUCgBOhCC#A\VMPF÷*Oh@WOhEË\PCgBFrgBZO JnAnét\gQJYAUCÉû¿OéDAU@\POYE"AUCEgBZ\VXAU@BAUùOhgWOY@8Z#AUVAdMPAU@W`GO3ORefOhJhgÆFUC"gBZO
ORòtgWOY@WCAUM) ë¯ADJhgBFU@Yc C"FG@WEOh@8gWFd`UOhg*AUCËAUJhJYI@WADgBOVW\ùÏIMqA|gB\PFUC:AUCEÉ@OnAUM\PVgB\PJ_OhMPOhJhgB@FGù"AU`GCORgB\PJ OYMPEV
gBZOrEOYXgWZúFUë9gBZOdADCNgWOYCCA"ùÏIVg3ûõOVOhgAUXX@FGX@\qADgWOYMQUc
Å ¢U 4¸ ©-§ ¹¹¹¸B-· § §´ -µ®9°8²ú¸L ¾ ·¼¯½º·«ªÀª«N¹ © n-·À» ¾ © ½G·«»,LÂN-µt¹ §´ -µN ¸ § Âtª¼ © DNNGÅ
[ÆAUMJYIMPADgB\FGCFUë* \V,JnAU@@W\POhEÈFGIgdAUV,ëøFGMPMF÷3VYS gLADKt\C`Ô\PCgBFÙAUJhJYFGICNgrgBZOOhCOY@`UQÈMPFUVWV\PCÞgBZO
JYFUIXMPOh@ ð ëøFG@3AUCÔ\PCÔEOhX= gB$ ZúEOY@\éDADgB\FGCÇVWOhO ý3qñRS
ðM ñ
>+-,#P.-/
= $
M
÷3ZOh@WOgBZO NI#AUCgB\ÀgB\OYV 7
, AUCE-/>AU@WOEO #COhEAUV
-,*>
AUCE
ð Gñ
M
ð ñ
Mê\PVgBZOvëø@ONIOhCJhQÇFDë9gWZOOhMPOYJRgB@FGùÉAD`GCOhgW\PJ #OYME SO tIAUMõgWF Gc :^a DSí/\PVgWZO\ù"X¿OYE#ADCJYO\CÉgBZO
JYFGA|ò\qAUM¿MP\COUSN÷3Z\PJLZÇ\CËFGI@JnAUVO,\PVONI#AUMfgWF:ý FUZù"VhSAUCEÔè \PVgBZOOhCOY@`UQ"VgBFU@WOYEÔ\CÉgBZOvJnAnét\gQGc
ü_Z\V*MqADVgNI#ADCNgW\gQ"\PVVWOhg*gBF TUFUIMPOEIOvgWFgBZOvAUIgWFGùÉA|gB\PJ CFG@ùÉADMP\YADgB\FGCºEFGCOûQ : ö"÷3ZOYC
JnADMPJYIMqADgW\PC`:gBZOOYMPEVYc,ü_ZOÏg÷FÇX#AU@WAUù"ORgBOh@WVvgWZ#ADgAU@OéDAU@W\OYE\C<gBZOg÷*FÔO tIADgB\FGCV,AU@Odþ ADCE
Æ÷3Z\JLZÈAU@WODSf@WOhVWX¿OYJRgB\éUOYMÀQGSfgWZOéGFUMgLAD`GOADJY@WFUVWVvgWZOÏJYFGA|ò\qAUM9MP\COADCE<gBZOÏJYI@@WOhCNg@WICC\PC`ÇADMPFGC`
gBZOrM\PCODc
úIMÀgB\XMPOVW\ùÏIMPADgB\FGCV3÷*Oh@WOÏ@ICÞ\PC öúëøFG@éDAU@Q\C`ÇAUCgWOYCC#AËEOYXgWZVAUCEgWZO #OhMPEV gLAUKDOYC
ADg AÏ@WAUE\PIV_FUë ýDùù ADg_gWZO,JYFUIXMPOh@_ûõFUICE#AU@QÉ÷OY@OrIVWOYEÔgBF:JYAUMPJhIMqADgWO c×ü_ZO@OYVWIMgBVÆëøFU@3A
ëøOh÷>éDAUMIOYVFUëEOhXgBZÇJYAUCËû¿OëøFGICEÉ\C"gLADûMPOLc)OYXgWZÉéDAUMPIOYV8FUë ó c 4 ùù AUC= E$ ó M c 2Gùù(@OYVWIMgBOhE
\PC
éDAUMPIOhVFUë > $#AUCE > &@OYVWX¿OYJRgB\ÀéGOYMÀQGSADCEÞIVW\C`ÉgWZO #OhMPEV ëø@WFGù gBZOYVWOºJhFGIXMOY@V
÷OdJYAU= MPJh$ IMqADgWOYEËgWZOOYù\gWgBAUCJhO,`G@WF÷_gBZfc
/B>
Ψ²¿® εÆBиB-¹ § r¡
N
NLÂN-µ¿q¶¶d¥
dA ¥
DÅ ¤ L£ £
Å |¤ L£ ¬
UÅ L£ ¬ Å
¢UÅ ! L£ ¬;L£
¢UÅ ¢¤ L£ ¬; nÅ ¢ L£ ¬;¤UÅ ¢
nÅ L£ M
= $
´©§ ¶ ¾ © ½U·«N»DNNrLÂN-µ#Å
A ¥
|n£
¢ L£ ¢UÅ ¢¤UÅ ¤
¢ nÅ ¢ = $
nÅÓ£¢¤ L£
¢UÅ L£
DÅ ¤ L£
nÅ L£ #
¢UÅ ¤ L£ #
DÅ |¤¤ L£ #
nÅÓ££ L£ &
ß (Ëà çä'" * å5äãvßâ çäãdãçvâßYä,á"@áå çäæ-.Æã0- +," îßLáVß îß _â ßYäá
ü_ZOºJYAUIVWO:FUë8Ohù"\ÀgWgLADCJYOÏE\PMPIgB\PFUC<EIOºgWFËgBZOºJhFGIXMOY@\VgBZOÏéDAU@Q\C`ËgB@WAUCVéGOY@VWO:KN\PJLKÞADMPFGC`
gBZO,ûICJLZ caF÷OhéUOY@YS#gWZOY@Or\V_AUMVWF:AUCÔFéGOh@BAUMMfgB@WAUCVéUOY@VWOrKt\JLKÉgBFÏgWZO,JYOhCgBOY@ FUë&gBZO,ûICJLZÙgBZ#ADg
JnADIVWOhVADCÇFUefVOhgÆëø@FGù gBZO,JhOYCgBOh@_FUë9XZ#AUVO,VWX#AUJhOUc IOvgWFºVWOògWIX¿FGMPOhV3AUCEÇFUgWZOY@ÆCFGCóM\PCOYAU@W\ÀgB\OYV
\PCÞgWZOº@WORgBI@CÌMFFGXÈADCEÌ[ÆìöírSgBZ\PV,FUeõVWORg,÷3\PMPM±MPOYAUEÞgBFÔEOhëøFtJYIVW\PC`úADCEÌORéGOhC)ùFG@WOÏOhù"\ÀgWgBAUCJYO
`G@F÷_gWZ c #FG@gBICADgBOhMQêgBZ\VÇ\PVË\VËOnAUV\PMÀQîJhFG@W@OYJhgWOYE c üÆ÷FÜJYFG@@WOhJhgBFU@ÙJhFG\PMVËADgÉgBZOÈOYCE/FDëdOYAUJLZ
JY@QGFGùFtEIMPOv`G\éUOvg÷*FVWIJYJYOhVW\ÀéGOrKt\JLKNV_@WOhgWI@WC\PC`ÏgWZO,JYOhCNgWOY@3FUë&gBZO,ûICJLZÙû#AUJLKÉgWFÏgBZO,JhOYCgBOh@3FUë
XZ#ADVWOVX#AUJhOUc3ôX@WFG`G@WAUù ÷*AUV÷3@\ggBOYCÙgBFJnAUMJYIMPADgBO,gWZOCOhJYOhVWVBAD@QúVgB@OYC`DgBZVFUë¨gBZOYVWOdKN\PJLKNVëøFG@
OnADJLZ7JYFGIXMPOh@dJhFGC #`GI@BADgW\PFGC c"ü_ZOÉORefOhJhgWVFUëÆgWZOJYFGIXMPOY@VADCE)JhFG@W@OYJhgWFG@rJYFG\MPVFGCÌgWZOFG@Wû\ÀgrFUë
FGCOvOYMPOhJhgW@WFGCÉëøFU@gBZOvgBZ@OYOJhFGIXMOY@JYFGC `GI@BA|gB\PFUCV÷3\ÀgBZ = $ > > # \V*\MPMPIVgB@WADgBOhEÉ\C z\`fc c
ü_ZOrOYù\ggLAUCJhO,`G@WF÷_gWZ<\PV_ù\PC\Pù\ YOhEË÷3ZOYCÙgBZOrXZ#ADVWOrFUë±gWZOrJYFGIXMPOY@3KN\PJLKËëøFU@3gWZOJYOhCNgWOY@FUë
gBZOÉûICJLZÛ\PV YOY@FS¨ADVdgBZ\PVrMPOnADEVrgWF<gBZO"VùÉAUMMPOhVgrEOhét\PADgB\FGC)\CbgWZO"gW@BAUCVéGOh@WVWOÇKN\JLKÌADMPFGC`ÔgBZO
ûICJLZ cü_ZOrORefOhJhgWVFUë9gBZOrJhFGIXMOY@3XZ#ADVWOFGCÙOYù\gWgBAUCJhO,\PV_\PMMPIVgB@WADgBOhEË\PCÇgBZOëøFUMPMPF÷3\C`ÏVWOhJhgW\PFGC c
Onesided Couplers
Couplers Alternating every Cavity
1e-04
2e-05
0
0
-2e-05
-0.0001
-4e-05
y (m)
y (m)
-0.0002
-6e-05
-8e-05
-0.0003
-0.0001
-0.0004
-0.00012
-0.0005
-0.00014
-0.0006
-0.00016
0
200
400
600
Element Index Number
800
1000
1200
0
200
400
600
Element Index Number
800
1000
1200
Couplers Alternating Every Module
0.0006
0.0005
0.0004
y (m)
0.0003
0.0002
1e-04
0
-0.0001
-0.0002
-0.0003
Å U ¦ ª § ¹- §©-à ·¼ § ´8§ Ϫ¼¸B ©-§ -µ ©-§ N»µú-µNd ͱ§ ª«·ÀN¸L¹t © L- © ª §U§ Â Í ·«-µ<¸ § NÂtª¼ © ¹vN
¸ §©-© ¸B §© ¸ § ·«ª«¹Å
(Éà
1îßââáÇç ãä(â%+ "#ßVîæ_âßYäá "
ÿ\gWZ7gBZOÙAUû¿FéGOÔJnADMPJYIMqADgW\PFGCVJYFGùXMPORgBOhE S×gBZOÔJYFUIXMPOh@ºX#AU@WAUù"ORgBOh@WVÏ÷OY@WOÙ\PCXIgBOhEÜ\PCgBFÞgBZO
ZFUe OY@M ý c MqADgr1? Ù
ô MPADgWgW\PJhO ð ü±AUûMO ñcËö\ùÏIMPADgB\FGCVv÷OY@O"@ICÌ÷3\ÀgBZÌAUMPMzëøFUI@JYFGIXMPOY@
VWJhOYC#AD@W\PFUVëøFU@×ûõFUgWZ = $ éDAUMIOYV8AUCE:gWZO3CFG@ùÉAUM\ hOYEÏOhù"\ÀgWgLADCJYOÆ÷*AUVJnAUMJYIMPADgBOhE:ADgOhéUOY@Q"OhMPOhù"OhCNg
FUë9gBZOMPADgWgW\PJYODc¨ü_ZOr@WOhVWIMÀgBV AU@WO,VIùùÉAU@\ hOYEÔ\PC z\`[email protected] 2AUCEúýc
0
200
400
600
Element Index Number
800
1000
1200
Ψ²õ® z¦ § ª¼ © © ¶,L © ¹ º·«D § ": © · §© § ¶·ÀN·«¶·¼Øn-· § §´ ¸ § Âtª« © Âtµt¹
¸ § Âtª¼ © ¹ © N»-µ
¸ § NÂtª¼ © ÂtµN¹r © n¢¿¥
f§ ¹-·¼-· § §´9¦z§ Âtª¼ ©
= $
¢ L£ #
| © t¸B
nÅÓ£££¢ L£ Å ¢n£%
¢ L£ #
Á ·¼
nÅÓ££¢¢ L£ ¬-Å L£ &
| © t¸B
nÅÓ££ L£ Å ¢ |¤
L£ &
Á ·¼
nÅÓ£¢ | L£ ¬-Å ¢¢
#FG@ÉFUCORóVW\PEOYEÿJYFGIXMPOh@WVËgBZOÞOYù\gWgBAUCJhO\PCJh@WOYAUVWOhVÇûNQ4MPOYVVËgBZ#ADC Gcý Çc ÿZOYC/AUMÀgBOh@WC#ADgW\PC`
YJ FUIXMPOh@ËX¿FGVW\ÀgB\PFUCV"ORéGOh@Q>JYAét\ÀgQHgWZOOYù\ggLAUCJYO<\CJY@OnAUVOYVÇûQ>AÌùÏIJLZ>MqAD@W`GOh@"éDAUMPIOUc C\ÀgB\PAUMPMÀQ
gBZ\PV×ù\P`GZgû¿O_VWI@X@W\VW\PC`SNûIg×gBZOJhFGIXMOY@×XZ#ADVWO3gBZ#ADg8ADXX@WFnò\Pù"ADgWOYMQAUMÀgBOY@C#ADgWOYV×ëø@WFGùJnAnét\gQºgWF
JnAnét\gQJYFGùXõOhCVBA|gBOYV9OYù\ggLAUCJYO×`G@F÷_gWZd\C,gBZO #@WVg9JnAUVO*AUCErgWZ\PVORefOhJhg±\PVCOh`ADgBOhEûQAUMÀgBOh@WC#ADgW\PC`
gBZOrJhFGIXMOY@_E\@WOhJY\PFUCÙ\CÇgBZOVWOhJYFGCE<JnADVWOUc
ü9FËù"\C\Pù\ hOvgBZOÏJYFGIXMPOh@vXZ#ADVWOgWZ\PV E\PVgLAUCJYOÏùÏIVgû¿OJLZAUC`GOhEÞ\PCúgWZO : ö<V\PùÏIMqADgW\PFGCVhc
aOh@WOÙ÷*OX¿OY@ëøFG@Wù AbVW\PùXM\ #OhEH\CNéUOYVgB\P`GADgB\FGC c ÌO<EF7CFUgÉJLZAUC`GO<gWZO<JhFGIXMOY@ VgB@OYC`DgBZ4ûIg
gLADKUO"AUVrgWZOFGXgB\ùÉADM¨XZ#AUVOgWZO"AéUOY@WAU`GOÉFDë*gBZOg÷F<JhFGIXMOY@ XZ#AUVWOhVdëø@FGù gBZO"JhFGIXMOY@WVdADggBZO
A. No Couplers
B. Onesided Couplers
1.00946e-07
1.015e-07
1.00944e-07
1.014e-07
Normalized Emittance in y (m)
Normalized Emittance in y (m)
1.00942e-07
1.0094e-07
1.00938e-07
1.00936e-07
1.00934e-07
1.00932e-07
1.013e-07
1.012e-07
1.011e-07
1.0093e-07
1.01e-07
1.00928e-07
1.00926e-07
1.009e-07
0
500
1000
1500
Element Index Number
2000
2500
0
500
C. Couplers Alternating Every Cavity
1000
1500
Element Index Number
2000
2500
D. Couplers Alternating Every Crymodule
2.2e-07
1.013e-07
1.0125e-07
2e-07
Normalized Emittance in y (m)
Normalized Emittance in y (m)
1.012e-07
1.8e-07
1.6e-07
1.4e-07
1.0115e-07
1.011e-07
1.0105e-07
1.01e-07
1.2e-07
1.0095e-07
1e-07
1.009e-07
Å §© ¶rª«·¼ØL:¶r·¼-N¸B·Àº-µ ½ºN· © ¸B-· § ´P§© -µ-µ © L ¸ § NÂtª¼ © ¸ § NÊN» © n-· § t¹8N Í ·¼-µ §
¸ § Âtª« © ¹ ´§© = $ ¢BL£ # Å
0
500
1000
1500
Element Index Number
2000
2500
0
500
A. No Couplers
1000
1500
Element Index Number
2000
2500
2000
2500
B. Onesided Couplers
1.00946e-07
1.016e-07
1.00944e-07
1.015e-07
Normalized Emittance in y (m)
Normalized Emittance in y (m)
1.00942e-07
1.0094e-07
1.00938e-07
1.00936e-07
1.00934e-07
1.00932e-07
1.014e-07
1.013e-07
1.012e-07
1.011e-07
1.0093e-07
1.01e-07
1.00928e-07
1.00926e-07
1.009e-07
0
500
1000
1500
Element Index Number
2000
2500
0
500
C. Couplers Alternating Every Cavity
1000
1500
Element Index Number
D. Couplers Alternating Every Cryomodule
2.2e-07
1.0135e-07
1.013e-07
2e-07
Normalized Emittance in y (m)
Normalized Emittance in y (m)
1.0125e-07
1.8e-07
1.6e-07
1.4e-07
1.012e-07
1.0115e-07
1.011e-07
1.0105e-07
1.01e-07
1.2e-07
1.0095e-07
1e-07
1.009e-07
Å §© ¶rª«·¼ØL:¶r·¼-N¸B·Àº-µ ½ºN· © ¸B-· § ´P§© -µ-µ © L ¸ § NÂtª¼ © ¸ § NÊN» © n-· § t¹8N Í ·¼-µ §
¸ § Âtª« © ¹ ´§© = $ BL£ & Å
0
500
1000
1500
Element Index Number
2000
2500
0
500
1000
1500
Element Index Number
2000
2500
4
û¿OY`G\CC\PC`ÏAUCEÇgWZOOYCEÇFUë&gBZOJYAné\ÀgQGcü_ZO,COR÷JhFGIXMOY@X#AU@BADù"ORgBOY@VÆJnADCÇûõOëøFGICEÇ\PCËü±AUûMO AUCEÔgBZOd@OYVWIMgBV \PC z\`GI@WOhV M ADCE cô0VWIùùÉAD@QÇFUë±gBZOOhù"\ÀgWgLADCJYO`G@F÷_gWZúëøFG@3ADMPMVW\ùÏIMPADgB\FGCV
JnADCúû¿O,ëøFGICEÔ\PCÔü±AUûMO þÏc
Î ¨²¿® ¦¨§ Âtª¼ © © ¶,L © ¹ Âtº·«D § " ´ © ¶·«N·À¶·¼Øn-· § §´ ¸ § Âtª¼ © ÂtµN¹
¸ § Âtª¼ © ¹ © N»-µ
¸ § NÂtª¼ © ÂtµN¹r © n¢ ¿¥
f§ ¹-·¼-· § §´9¦z§ Âtª¼ ©
= $
¢ L£ #
| © t¸B
nÅÓ£££¢ L£ ÅÓ££ ( £
¢ L£ #
Á ·¼
nÅÓ££¢¢ L£ ÅÓ££ ( £
L£ &
| © t¸B
nÅÓ££ L£ ÅÓ£6£ L£ L£ &
Á ·¼
nÅÓ£¢ | L£ ÅÓ£6£ L£ A. No Couplers
B. Onesided Couplers
1.00946e-07
1.0104e-07
1.00944e-07
1.0102e-07
Normalized Emittance in y (m)
Normalized Emittance in y (m)
1.00942e-07
1.0094e-07
1.00938e-07
1.00936e-07
1.00934e-07
1.00932e-07
1.01e-07
1.0098e-07
1.0096e-07
1.0093e-07
1.0094e-07
1.00928e-07
1.00926e-07
1.0092e-07
0
500
1000
1500
Element Index Number
2000
2500
0
500
C. Couplers Alternating Every Cavity
1000
1500
Element Index Number
2000
2500
D. Couplers Alternating Every Cryomodule
1.01e-07
1.0098e-07
1.0099e-07
1.0097e-07
Normalized Emittance in y (m)
Normalized Emittance in y (m)
1.0098e-07
1.0097e-07
1.0096e-07
1.0095e-07
1.0096e-07
1.0095e-07
1.0094e-07
1.0094e-07
1.0093e-07
1.0093e-07
1.0092e-07
1.0092e-07
ŤU §© ¶rª«·¼ØL:¶r·¼-N¸B·Àº-µ ½ºN· © ¸B-· § ´P§© -µ-µ © L ¸ § NÂtª¼ © ¸ § NÊN» © n-· § t¹8N Í ·¼-µ §
¸ § Âtª« © ¹ ´§© = $ ¢BL£ # Í ·«-µº¶·«N·«¶r·¼ØLd¸ § NÂtª¼ © ÂtµN¹Å
0
500
1000
1500
Element Index Number
2000
2500
0
500
1000
1500
Element Index Number
2000
2500
ºßnà çrä,áÔç%zæ#"ßYäá
ü_ZOhVWOÉ@OYVIMgWVd\MPMPIVgB@WADgBOÏgWZO\PùXõFG@gLAUCJYOºFUëÆgWZOXZ#AUVO"FUë*gBZOJYFGIXMPOh@rKN\JLK¿c ×@\PFG@,gBFÙù\PCó
\Pù nA|gB\PFUCFUëgWZOJYFGIXMPOh@ XZ#ADVWO8OYù\gWgBAUCJhO×`G@WF÷_gBZr\PVCFGCóCOY`GM\P`G\ûMPO9÷3\gBZrAUMÀgBOh@WC#ADgW\PC`ÆgWZO8JYFGIXMPOY@
FG@\POYCgBADgB\FGCÉORéGOY@QÇJnAnét\gQ"÷3Z\PMOvCOh`GMP\`G\PûMPO_÷3\gWZÉgBZOvFUgBZOh@*g÷FJhFGC #`UI@BADgW\PFGCVYc×ôëÒgWOY@Æù\PC\Pù\nAó
gB\FGC7FUë JhFGIXMOY@ XZ#AUVWOÇOhù"\ÀgWgBAUCJYOÉ`G@WF÷_gBZÛ\VÏCOh`GMP\`G\PûMOº÷3\gBZÜADMPM8JYFGC `GI@BA|gB\PFUCVYc CJh\PEOhCNgBAUMPMÀQGS
ADëÒgWOY@rù"\C\Pù\YADgB\FGC<FGI@r\C\gW\qAUM±ZQX¿FUgWZOYV\PV\VdVWADgB\V #OhE7AUCEÌgBZO"Ohù"\ÀgWgLADCJYO:`G@F÷_gWZ)\Vdù\PC\ùÉADM
÷3ZOhCAUMÀgBOh@WC#ADgW\PC`bgBZOÞJhFGIXMOY@ËFU@W\POhCgLADgW\PFGC4ORéGOh@Q>JYAét\ÀgQGc ü_Z\PVÇ\VËEIOgWF7gBZOë¯AUJRgËgBZADgËgBZO
(
A. No Couplers
B. Onesided Couplers
1.00946e-07
1.01e-07
1.00944e-07
1.0099e-07
1.00942e-07
Normalized Emittance in y (m)
Normalized Emittance in y (m)
1.0098e-07
1.0094e-07
1.00938e-07
1.00936e-07
1.00934e-07
1.00932e-07
1.0097e-07
1.0096e-07
1.0095e-07
1.0094e-07
1.0093e-07
1.0093e-07
1.00928e-07
1.00926e-07
1.0092e-07
0
500
1000
1500
Element Index Number
2000
2500
0
500
1000
1500
Element Index Number
C. Couplers Alternating Every Cavity
2500
D. Couplers Alternating Every Cryomodule
1.00946e-07
1.00975e-07
1.00944e-07
1.0097e-07
1.00942e-07
1.00965e-07
Normalized Emittance in y (m)
Normalized Emittance in y (m)
2000
1.0094e-07
1.00938e-07
1.00936e-07
1.00934e-07
1.00932e-07
1.0096e-07
1.00955e-07
1.0095e-07
1.00945e-07
1.0094e-07
1.0093e-07
1.00935e-07
1.00928e-07
1.0093e-07
1.00926e-07
1.00925e-07
Å D §© ¶rª«·¼ØL:¶r·¼-N¸B·Àº-µ ½ºN· © ¸B-· § ´P§© -µ-µ © L ¸ § NÂtª¼ © ¸ § NÊN» © n-· § t¹8N Í ·¼-µ §
¸ § Âtª« © ¹ ´§© = $ BL£ & Í ·«-µº¶·«N·«¶r·¼ØLd¸ § NÂtª¼ © ÂtµN¹Å
0
500
1000
1500
Element Index Number
Ψ²¿®
2000
2500
0
© ¸BD-n» N ¸ © ¹ §´ ®9¶·¼-t¸B ©-§hÍ
µt¹3 § 8¶·ÀN·«¶·¼ØL
= $ ¢ BL£ # = $ BL£ &
£GÅ £GÅ §d¦z§ NÂtª¼ © ¹
nÅ nÅ £
³ ¹-·«N
ª¼ © Nn-·«» ¦ ¾ ·¼-·«¹
|UÅÓ%£ |UÅ ¢
ª¼ © Nn-·«» ¦z© ½ § ¶ § Ntª¼¹ nFÅ
nFÅ
500
1000
1500
Element Index Number
2000
2500
-µ P´ §© ªÀª ¦z§ ÊN» © n-· § N¹
µN¹ ¶r·«N·«¶·«ØL
= $ ¢ BL£ # = $ L£ &
£GÅ £GÅ
£GÅ £GÅ £GÅ £GÅ
£GÅ ¤
£GÅ YJ FUIXMPOh@ XZAUVWOhVCFMPFUC`GOY@3ADMgBOh@WC#A|gBOVW\`GC cö\PCJYO,gBZOFGCORóV\PEOhEúJhFGIXMOY@ AU@@BAUC`UOYùOYCg \PVÆgBOhJLZC\«ó
JnADMPMQ"ùFGVg_ëøOYAUVW\ûMPODS#AUCEÔVW\CJYO\Àg_MPOYAUEVÆgBFºgWFGMPOh@BAUûMOOYù\ggLAUCJYO,`G@F÷_gWZúORéGOhCúëøFG@ÆCFGCóFUXgB\ù"\ YOYE
JYFUIXMPOh@_XZ#AUVOYVhS÷*OX@FGXõFUVWO,gBFºIVO,gBZ\V3AU@W@WAUC`GOhù"OhCNg_ëøFU@*gBZOd[*FG@COYMM¿òNó@WAnQÔìíï×c #FG@ÆVIJLZúAUC
AU@@BAUC`UOYùOYCgnSz÷3\ÀgBZFUIgÏFGXgB\Pù\ hOYEÌJYFGIXMPOY@XZ#AUVOYVYS\Àg\VOYVVWOhCNgW\qAUMëøFG@dgWZOËJYFUIXMPOh@X¿FGVW\ÀgB\FGCÌgWF
AUMÀgBOY@C#ADgWOëø@WFGù ûõORëøFG@WOrAUCEúADëÒgWOY@ÆgBZOrJYAné\ÀgB\OYVYc
Å GµN¶,ª«·«,LLÅUªÒż¡ u ~q
~Ps Lul ~Òln2lns lnnj G~ |j Lul ~qln&u hk«jBm} wBunm ¡ ¦¨§© ª«ª
N · ¾ © ¹--·¼½d² © L §© ° £¢L£¢ ¬¯£ Ò¢n££¢¥
¢ dvÅ Gn»2¡ l ls Nln ¡µ|Â2 Í8ÍÍ ÅÓª«N¹ÅÓ¸ §© ª«ªÒÅ t N¸L¹ à ¶ÏÒ¢n££¤¥
¦ Î ·«¸ ©§RÍ ¾ U-NN· § ¡ ¹ © N·«N¡ ¦ GÎ ¶ à ֡ ¨NN·À» © U © Ŭ]¤|¢ vÆ © ¶¹-NL¡ © ¶|½
ÙŲõ·¼L LLÅ#ªÒż¡ x U}y|~s :oPyGj ~Ppv~qoP}
9~øjB Ùunsoqmun9lo _~ ny ul |j ¡ 9©-§ ¸BLt·«»¹ §´ -µ
%
&
('*)
)
&
%
*
+
,-#/.0.
1
32
1
465
"!$#
¢n££ © -·«¸Lª¼ *¸L¸Bª¼ © n §©3¦z§ ´ © N¸B¡3 § Á ¾ ·«ªÀª¼¡Î ¡ ÄÒ¢n££ ¥
Å µ¶,ª«·«ËLLŪÒż¡ ln¼ G¼loq~Òuns)uwoPyGj jL±lnR~qoq{Ùj |o¯jBmWsln ~qoPy
£¢n£¤¢n£Y¬¯£ËÒ¢n££¢¥
o n~ÒuY} ¡ ¦z§© ªÀª N· ¾ © ¹-·¼]½d² © L §© °
%
%
'
5
)
.
lns
(
)
~ÒLmu 9lnj
© Copyright 2026 Paperzz