Continuous Multi-image Preprocessing for Euclidean Reconstruction

HAL Id: inria-00073206

https://hal.inria.fr/inria-00073206

Submitted on 24 May 2006

HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires

Continuous Multi-image Preprocessing for Euclidean Reconstruction

Philippe Renault, Olivier Faugeras, Thierry Viéville

To cite this version:

Philippe Renault, Olivier Faugeras, Thierry Viéville. Continuous Multi-image Preprocessing for Eu-

clidean Reconstruction. [Research Report] RR-3482, INRIA. 1998. �inria-00073206�

a p p o r t

d e r e c h e r c h e

THÈME 3

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

Continuous multi-image preprocessing for Euclidean reconstruction

P. Renault and O.D. Faugeras and T. Viéville

N° 3482

Septembre 1998

( ) $*"' " !+#, -.

/10325476,8:9;=<>8?6,@BAC0EDF03G,8?9HI4KJL8?MN8?6,@POQ0RTSVUXWSY;V;Y4

Z[\$]5^_` acbedf^$gfhji.dfkmlXbn[lj]]5^oc]hjip[kmb^jq

km]hjrX^$s qutlXbvbw ^$s q?i lXbvbuhjkmsxsfhybi ^$s

z{g|ly}~^$d€"lXIlydx‚ƒkms

€hj„v„IlXg~d"t^gx^$ip[^ g|ip[^…b?†‡_jˆe‰XŠ‹` Œ^$„vdf^$]g|^NŽLXj‰'` ˆXˆ5„uhjrX^$s

>‘,’$“•”&–—j“e˜Q™ ^Nhyttgx^$sxsdf[^„g|lXšm^ ]›ljœ!„I^$g|œ=lXg|]kmbrQ_Xž]lydfkmlXbŸhybtŸs~dfgx vi$df vgx^

hjbuhjš¢¡7sxkmshjšmlXbrnšmlXbrT£7k¤t^$l¥sx^$¦7 v^ bi$^ sQ§Y]5„:^ r¥hjbvk¤]hydxk¤lXb¨q,sx vg|£X^$k¤šmš¤hjbi ^g|^ i$lXgxtkmbr

df^ šm^$£7kmsxkmlXbn„vgxlXrXgxhj]5s qu^.dfij©m©«ª5kmbT¬"[vk¤ip[T¬!^­¬!hjbed€dxlT®

¯

I^Nhjšm^Ndflnsx^ rj]^$beddx[^>s|^ ¦K ^ bvi ^k¤b°s|]hjš¤šm^ g„k¤^$i ^$sljœ1k¤]hjrX^±sx^.dfsi ljgxgx^o

sx„:lXbtkmbr5dfl5[lX]5lXrj^ b^$lX s"„uhjg~dfs"ljœdf[^sx^$¦K ^ bi$^jq

¯

s|dfhjkmš¤km² ^­df[v^'s|^ ¦K ^$bi ^³kmblXgxtv^ gdfl5gx^$t i$^'dx[^tk¤s|„uhjg|kmdc¡:^$dc¬-^ ^$bndc¬!li ljbo

sx^$i  vdxkm£j^œ=gfhy]^yq

¯

t^$dx^ i.d€ vb^.´„:^ i$dx^ t‹^.£X^$bKdxsµs| ip[‹hjs]5lL£7k¤bvrNlX}~^$i$dxs€lXgi$š¤ljsx^lXs~dphji$š¤^$s q

¯

gx^$i lXbs~dfg| i$dƒdx[^³_j¶sx[uhy„I^ljœ{sxlj]^„gx^$t^$·ubv^ t¥lX}~^$i$dxs q¨¬"[kmip[¥km]„vš¤km^ sµdx[^

sx^$šmœ,i•hjšmk¤vgfhydxk¤lXbljœdf[^­km]hjrX^sx^$¦K ^ bi$^j©

Œ7 ip[³tuhydfh1[hL£j^-dc¬-lµip[uhygfhji.df^ g|k¤s~dfkmi s)®-§Yheª¨df[^.¡[hL£j^!:^ ^$bgx^$i lXg|t^ t sxkmbrµi hj]³o

^ gfhys"¬"k¢df[ b.-7bvl ¬"bnhjbtT„Iljsxsxkmš¢¡£yhjg|¡7kmbr5lX„vdfkmi•hyš „uhjgfhy]^.df^$gxs0/1hjbtŸ§Yuª!i•hj]5^ gxhjs

hjgx^­]5lL£7k¤br¬"[kmš¤^sxlj]^'lX}~^$i$dxs€hygx^'hjšmsxl]lL£7kmbr±kmbdf[^sxi$^ b^y©

a dƒk¤s$q k¤b¥rX^$b^ gxhjšYq+bljd­„:lXs|sxkmš¤^³dxl^ bedfkmgx^$šm¡‹hjbuhjš¢¡7² ^s| ip[Cs|^ ¦K ^$bi ^$shj dflX]hyd~o

k¤i hjš¤š¢¡F:^ i•hy sx^ljœ!dx[^i lX]5„šm^.´k¢dc¡Clyœ!df[v^±i$lXbedphjkmb^ tCk¤bœ=lXgx]hydxk¤lXb¨©21ƒb dx[^ljdf[^$g

[uhjbt+q1hŸi$lX]5„šm^$df^¥]hjbK uhyš­hjbuhjš¢¡7sxkms>kmshjš¤s|l bljd>„IlXs|sxkmšm^¥I^$i•hj s|^¥ljœ­df[v^‹[K rX^

hj]5lX bed³ljœ)tuhydph©431^ gx^yq,df[v^Nkmt^•hnkmsdxl‹„g|^.oc„vgxl7i ^ s|sdx[^>km]±hyrX^±s|^ ¦K ^$bi ^yq-kmb lXg o

t^ g)dxl^•hjs|^'k¢dfskmbedf^$gfhji.dfk¢£X^'hjbuhjš¢¡7sxkms1hjbt„gxlL£7kmt^­dfl³df[v^­ sx^$g€hyb^ b[uhybi ^$tnkm]±hyrX^

sx^ ¦K ^$bi ^k¤b¬"[kmip[+®

¯

df[^µk¤]hjrX^­s|^ ¦K ^$bi ^'[uh•£X^:^ ^ bs~dphjkmšmk¤²$^ tdfl^•hysx^­k¢dfslXs|^ g~£jh&dfkmlXb+qs|l5dx[uhyd ©

ŽX©)·ug|s|d'lXgxtv^ ghj„„vgxl•´k¤]hydxk¤lXbvs'lyœ- vsx uhjš{]5ljdxk¤ljb ^$¦K uhydfkmlXbsi$lX šmtC:^bK o

]5^ g|k¤i hjš¤š¢¡£yhjšmk¤t+q

Š©tkmsx„uhygxk¢dc¡>bljd!gx^$šEhydx^ t>dxl³lX}~^$i$d]5ljdxk¤lXbljg!lX}~^$i$dtv^ „vdx[„uhjgfhyš¤š¤h&´Ntk¤s o

„š¤hji ^$]5^ bedµi$lX šmtQ:^^ šmk¤]5kmbuhydx^ t+q

¯

gx^$rXk¤ljbs ljœtk¤s|„uhjg|kmdxk¤^$si$lXgxg|^ sx„:lXbtvk¤br"dfl"i$š¤lXs|^3lXs|dfhji šm^ slXg lX7}~^ i$dxs#k¤b']5ljdfkmlXb

[uh•£X^ I^$^ b sx^ rj]^$bedf^ t¨qkY©^y© df[^$k¤gTi ljbKdxlX g[uh•£X^CI^$^ b ^.´7dfgxhji$dx^ t hybt dx[^

gx^$šEhydxkm£j^š¤l7i•hydxk¤ljb65ysxkm² ^'ljœdf[^$sx^lX}~^$i$dxs€[uh•£j^:^ ^$bQi$lX]5„ vdf^$t+©

78:9<;=?> ” @’j˜ ‚ƒkmsx uhjš# b7oci•hyš¤kmgfh&df^ tT]5ljdfkmlXb+q1^$i lXbs~dfg| i$dxk¤lXb¨q¨ŒKdphjkmšmk¤² hydfkmlXb

ACBDFEGHDCIKJML(NODQPOJ*R+STEUVIKWOGXEYL(DZ%STE[HD]\^P _`LHDaZ%WbDTcd_G(De

" > * $ " !+#T $ "T ! *."T

’ ˜ 1­b hjtg|^ s|sx^Tš¤^„g|lXšm\ ]5^nt^š«hybuhjš¢¡s|^Qtv  ]5lX v£7]5^ bed>_X ^.dNtv^Tš¤h

s|dfg| i$dx gx^Nš¤^>šmlXbrnt^>šmlXbrX ^$s³sxw$¦K ^ bi$^ s£7k¤tvw lF¦K ^>šlXbŸsxlX [hjkmdx^>sx^$rX]5^ bedf^$g^ b

£XlXšm ]5^ s"sx„hydfkmlyo dx^ ]5„:lXgx^$š¤s[lj]ljrX\ b^$s qs~dphjvk¤šmk¤s|^ g"t^µœYh lXb³g|w t kmgx^­š¤h³tkmsx„uhygxk¢dfw

b^5i lXbedf^$buhjbed„uhjs'tkmbvœ=lXg|]hydfkmlXb t^5s|dfg| i$dx gx^tuhjbvsip[uhy¦7 v^±£Xljš¤ ]5^k¤tv^ bedfk¢·uwN^.d

¡ tw.df^ i.df^$gQšm^ sw$£j^ bbv^ ]5^ bedfsQdf^ šms¦K lj}~^$dxsQ]5lXkmšm^ slX PlXs~dphji$š¤^$sQ„g|lip[v^ s¦K k

bw i$^ sxs|kmdx^ g|lXbed± vb dxgfhjk¢df^$]5^ bed5 š¢dfw g|k¤^$ gsx„:w i$km·¦7 v^T„:lX g·ubuhjšm^ ]5^ bed5g|^ i ljbs|dxgx kmgx^

šEh³œ=lXg|]^'_X t^i ^$g|dfhjk¤bvs1lj}~^$dxs€tkmbKdxw g$dfs$©

Z^ bhjbedi$lX]5„vdf^t CœYhykmd'¦K ^i ^ s'tlXbvbw ^$slXbedw$dfwhji$¦K k¤s|^ s³thjbs'š¤^5i•hysbljbo

i•hjšmk¤vgxw‹h•£j^ intv^ sN£yhjg|kEhydxk¤ljbs±tv^ sN„hjgfhj]5\.dfgx^$sNkmbedfgxkmbs|\ ¦K ^ stv^nš¤hCi•hy]w$gfh ^$d>tv^ s

lX}~^$dxs!]5lXkmšm^ s)tuhybs!š¤hsxi$\ b^yqlXb>s|^µ„g|lX„:lXsx^€t«h&dxdphy¦7 v^ g!šm^µ„vgxlXšm\ ]5^ƒ^$b>]5^$d|dphjbed

hj  „:lXkmbed± vb ]5ltv š¤^Tt^„g|w$dfgxhjk¢df^ ]5^$bKdN¦K k"gx^ bvt^T£yhjšmkmt^Fš¤hFœ=lXkms5š vdxk¤šmk¤sxhydfkmlXb

t^ s5w ¦K uh&dfkmlXbs±hj  „vgx^ ]5km^ glXgxtvgx^t  ]lj v£X^$]^$bed>¦K ^šlXb gx^.£kmsxk¢df^Qk¤i$k„Ilj g^ b

]ljbKdxgx^$gdxlX vd±šk¤bedxw g.d>^.dN¦K k"„g|w „uhjg|^nhy vdflX]hydxk¤¦K ^$]5^ bedšm^ulydNt^TtlXbvbw ^$s

t^ s5dfgxhjkmdx^ ]5^ bedN šmdxw g|k¤^$ gxs$q]±hyb7 v^ šmsNlX  k¤bedx^ gfhyi$dfk¢œ=s qs| g b ^$bsx^$]šm^‹g|w t k¢d>^.d

„gxw.dfgfhykmdxw'tv^'tvlXbbw$^ s ©

> “ ’ ;

—"!

’˜$#

lX v£j^ ]5^ bedµ£7kmsx ^$š#blXbo i•hjšmk¤vgxwjq?"^ i$lXbs~dfgx vi$dfkmlXb+qIŒ7dfhjkmš¤kmsfh&dfkmlXb

5#*T $

@ 8 > ’ 8 8 — 8 ’ ” 8 ” > — 8 ’•’ ™ ^hjttg|^ s|s'dx[^5„gxlXvš¤^$]›ljœ!„:^ g~œ=lXgx]5kmbr

_X ]5ljdfkmlXbFhjbt¥s~dfg| i$dx gx^hjbuhyšm¡7sxkmshjšmlXbršmlXbr>£7kmt^ lsx^$¦K ^ bi$^ sN§Y]5„rX^$rhjbkm]h&o

dfkmlXb+q,s| g|£j^ kmš¤š¤hjbi$^gx^ i$lXgxtvk¤brQdf^ šm^$£7kmsxkmlXb°„g|lXrXgfhy]s$q‡^$dxij©m©¤©«ª kmbŸ¬"[kmip[ ¬!^±¬)hjbeddfl

§YkEªNt^$dx^ i$dT bv^.´„I^$i$dx^ tB^.£X^$bKdxsQs| ip[ hjs]5l £7kmbr lX}~^ i.dfslXgi$š¤lXs|^FlXs|dfhji šm^ sC§=k¤kEª

gx^ i$lXbs~dfgx vi$d1df[^'_X sx[hj„I^'ljœsxlX]5^„g|^ t^.·ub^ tQlX}~^$i$dfs$q?^$dfiy©¤©m©

Œ7 ip[ntuh&dph[uhjsdc¬-l±ip[uhygfhji.df^ g|k¤s~dfkmi s$®

ŽX©df[^.¡³[uh•£j^1:^ ^$b±g|^ i$lXgxt^$t± vsxkmbri•hj]5^ gxhjs{¬"kmdx[5 b -KblL¬"b>hjbvt„:lXs|sxkmšm¡£jhyg|¡eo

k¤bvrlj„vdfkmi•hjš „hjgfhj]5^.df^ g|s q

Š©"i•hj]5^$gfhjs1hjg|^']5lL£7k¤bvrNhjbvtQs|lX]5^'lj}~^ i.dfs€hjgx^hjšmsxl]5lL£kmbrk¤bdf[v^'s|i ^$b^$q

_v©df[^.¡>hygx^ƒbuh&df gxhjš¤š¢¡±s|dfg| i$dx gx^$tQkmb>df^$gx]5s)ljœcsx]hjšmš€sx[vljdfsljœhyIlX d­Ždxl_

sx^$i lXbtvsT§Yi šmkm„+q,£7k¤^.¬lyœ1hnsxi$^ b^yq s|[lXg~d³tk¤hjšmlXr‹kmb°hjb°kmbKdx^ g~£km^$¬q3^.dfij©m©m©ªBkY©^y©

_dxlQŽœ=gfhj]5^$s q

lX grXlehyš+I^$k¤bvrdxl±hybuhjš¢¡²$^sx ip[nhs|„uhydfkmlyo df^ ]5„:lXgfhyš¨£XlXšm ]5^'ljœ,thydphv©

a dkmskmbrX^$b^ gxhjšKbljd„:lXsxs|k¤šm^-dxl€^$bedfkmgx^ š¢¡hjbuhjš¢¡7² ^-sx ip[³s|^ ¦K ^$bi ^$s{hj vdxlX]hydfkmi•hjšmš¢¡

I^$i•hj s|^"ljœIdx[^"i lX]5„šm^.´k¢dc¡5ljœ:df[^kmbvœ=lXg|]±h&dfkmlXbdf[^.¡i lXbedfhjk¤b¨©F1ƒbdx[^ljdf[v^ g{[uhjbvt+q

hi lj]„vš¤^.df^­]hjbK uhjšIhjbuhjš¢¡7sxkms)kmshjšmsxl³blyd!„:lXsxs|k¤vš¤^ƒ:^ i hj s|^­ljœ+df[v^µ[K rX^­hy]lj bed)ljœ

tuhydph©%31^ gx^df[^k¤t^ hNkmsµdfl>„vgx^.o „gxl7i ^$sxsµdx[^km]hjrX^sx^ ¦K ^$bi ^yq#k¤b‹ljgxt^$g€dflN^•hjs|^k¢dfs

]±hyb7 hjš:hjbuhjš¢¡7sxkms)hjbt±„gxlL£7kmt^µdfldf[v^€ s|^ g!hjbN^$b[uhjbi$^ t>km]hjrX^€sx^ ¦K ^$bi ^µk¤b¬"[k¤ip[

® ¯

df[^km]hjrX^­sx^$¦K ^ bi$^[uhys1:^ ^$bns~dphjkmšmk¤²$^ tQdxl5^•hjs|^'k¢dfs"lXvsx^ g~£yhydfkmlXb+q

¯

gx^$rXk¤ljbs ljœtk¤s|„uhjg|kmdxk¤^$si$lXgxg|^ sx„:lXbtvk¤br"dfl"i$š¤lXs|^3lXs|dfhji šm^ slXg lX7}~^ i$dxs#k¤b']5ljdfkmlXb

[uh•£X^:^ ^ bQsx^$rX]5^ bedf^$t+q

¯

df[^g|^ š¤hydfk¢£X^šmli hydfkmlXb65ys|k¤²$^ljœ,dx[^ s|^'lj}~^ i.dfs1[uh•£X^'I^$^ bTi lX]5„ vdx^ t+©

acbnlXgxt^$g1dxlN:^ sxhjšm^s| ip[Fh±„g|^ „g|li$^ s|sxkmbr]5lt vš¤^gx^ ¦K kmgx^$sµdfl±I^^ hjbt

:Y©

[ P EU IKJ^L(DTGHRcdGXE"!D]E$#DG(E&%DZ*I[(' E`G(IL*) IK[EWb_^P*L,+.-/'OI10*DTU[Te

’ ( ”y’.“ ;0> ” @ 8 ” > “ > 8 –v“ > ’ acbnljgxt^$g"dxlNh&dxdphyk¤bdf[^$sx^'lX}~^$i$dfk¢£X^$s q

œ=lXš¤šmlL¬"k¤bvr«Šy_ q7¬!^­g|^$£7kmsxk¢d)df[^µ„gxlXvš¤^$] ljœ#g|^$dxk¤buhyš¨]5ljdfkmlXb>„hjgfhj]5^.df^ g|k¤² hydfkmlXbkmbhjb

k¤]hjrX^s|^ ¦K ^ bvi ^¬"k¢df[vlX vd1i•hjšmkmgfhydxk¤ljbTkmbTlXgxt^$gdflhydxdfhjkmbdx[^„gx^.£7k¤lX vs€lX7}~^ i$dxkm£j^j©

d±h‹df[v^ lXg|^$dfkmiš¤^.£X^$š€hybt i lXbedfgxhjg|¡Ÿdfl¥df[^$sx^s|dx tkm^ s$q)k¤b°dx[^„gx^$sx^ bed±„uhj„:^ g$q

¬!^Qsx[lL¬ df[uh&d>i ljbsxkmt^ g|k¤bvr t^ g|km£yhydxkm£j^ skmbs|dx^•hjt lyœƒ·ugxs~d|o lXgxt^$g±^´„uhjbs|k¤lXbvsš¤^ hjts

dfl] ip[Csxkm]5„š¤^$g^$¦K uhydfkmlXbs'hjbvtŸhjšmšml ¬"s'h:^$dxdx^ g btv^ gxs~dphjbvtk¤bvrnljœ df[^5g|^ š¤hydfkmlXb

I^.dc¬!^$^ bŸdx[^±g|^$dxk¤buhyš ]5ljdxk¤ljb ·u^$š¤t hjbtFdf[^±_X „hjgfhj]5^.df^ g|s ©>Z[v^±g|^•hjs|lXbŸljœ-df[kms

bk¤i$^sxk¢df uhydxk¤ljb kms³df[uh&d¬!^TlXvdfhjk¤b ^$¦7 hydfkmlXbs£X^$g|¡ s|k¤]5kmšEhjgdxlFdx[lXs|^T vsx^ t kmb dx[^

i•hjšmk¤vgfhydx^ tTi•hjs|^ˆq:Š ©

u g~df[^$gx]5lXg|^jqKljdf[v^ g{i ljbKdxgxkm vdxk¤lXbvs-kmbdx[^·u^ šmt_vqvŽL_ui$lXbsxkmt^$g!h­]5ltv^ šuuhjs|^ t

lXbndf[v^gx^.dfkmbuhjš„gxl&}~^ i$dxk¤ljb¥]±h&dfgxk´nhjbt‹šm^•hytsµdfl±£X^ g~¡n[v^•h•£K¡‹^.´„g|^ s|sxkmlXbs q+¡j^$d­bvljd

œ= š¤š¢¡ k¤]5„šm^ ]5^$bKdx^ t+© 31^ g|^N bvtš¤^>hjty}~ s~df]5^ bedˆ!hjbtCœ=gxhj]5^.o dflyo œ=gfhj]5^„uhjgfhy]^o

df^ g|k¤² hydfkmlXbŠyˆ kms„gx^.œ=^ g|gx^ t¨©-Z[kms1hjšmš¤lL¬"s1h³] ip[Qsxkm]5„š¤^$g"k¤]5„šm^ ]5^ bedfhydfkmlXbnlyœdx[^

gx^ š¤hydx^ tT]lydfkmlXb]l7t šm^j©

>

“L–v“

h>

’y˜™

^¬"gxk¢df^£X^$i$dfljgxs±hjbt ]±h&dfgxkmi ^$s5k¤b Iljš¤t šm^$dxdx^ g|s q!]hydxgxkmi ^$s±:^ kmbr

¬"gxk¢dxdf^$b>¬"kmdx[>i•hy„kmdfhjš:š¤^.dxdf^$gxs$© Z[v^ƒt uhjšms)ljœ¨£X^ i.dflXg|s"hjgx^€gx^$„gx^$sx^ bedx^ tThjs!dx[^€dxgfhjbs o

„IlXs|^µljœ h'£X^$i$dxlXg)hjbvt>sxi hjšEhygxs!kmb>k¢dphjšmkmij©{Z[^€bljdph&dfkmlXb "!$#%'& )(+*# i lXg|gx^ s|„Iljbts

dfl±dx[^i$gxlXs|s~o „gxl7t i.d•qIdx[^³tlyd|oc„vgxl7t i$d€:^ kmbrN¬"gxk¢dxdx^ bFhjs, )-# ©"Z[^³]hydfg|k¢´.& )(*

k¤s-h"/102/'s-j^$¬)o s|¡7]5]5^$dfg|k¤i­]hydxgxk´I©{Z[^€kmt^$bKdxkmdc¡]hydxgxk´k¤s3¬"gxk¢dxdx^ b43&©65­^ lX]5^.dfgxkmi

lX}~^ i.dfs)s| ip[hjs-„IlXkmbedfs$qš¤kmb^$s qv„všEhjbv^ shjg|^€¬"g|kmd|df^ b>¬"k¢df[Ni•hj„k¢dphyšIšm^$d|df^ g|s)kmb_Xqvhjbt

sx]hjšmš:šm^$d|df^$gxs k¤bNŠj©

™

^1g|^ „g|^ s|^ bed!dx[^€i$lX]5„Iljb^ bedfs ljœ+h']hydxgxk´5lXg h£j^ i.dflXg  sxkmbr

sx „:^ g|sxi g|k¤„dfsœ=g|lX] dflQŠq#^y©r©m® 7%98:; <=:)>?<=:A@B - ©±Z[^5blydphydxk¤lXbC EDF# ]5^ hjbs

GIH.J%LKM< H N%O#-© ™ ^ sx^QP$%R8SKT<KM<VUWB-

XZY[X \^]`_a6bM]dcfeTg6bheMi[j1kmlNg'cTn1a6bheEjmaoeT]paZjrqsg6cTi[tutvaZjmtv]`wmeTc

x#^.dƒ s1·ugxs~d­^.´„š¤hjkmb¥sxlX]5^ljœ{df[^i lXbvi ^ „dfs­hjbvt‹t^$·bkmdxk¤ljbsƒ s|^ t¥kmbndf[^t^$£j^ šmlX„o

]^$bedfs © Z[kms"]kmrX[ed1[^ šm„Q¡jlX TrX^$d|dfkmbrœYhj]5k¤šmkEhyg"¬"k¢df[œ=lXg|]±hyš+t^$·bkmdxk¤ljbs ©

y"z

8 !=– 8 –v“ (` “ 9

Z[k¤s"„š¤hjb^h&d"k¤bv·bkmdc¡kms"h³£7k¤g~df uhjš¨„šEhyb^t^$·ubv^'e¡hyš¤š¨dx[^­„:lXk¤bedxs"¬"[vk¤ip[Q[uh•£X^'hjb

k¤bv·bkmdx^3t^ „vdx[+qjkmbdf[^3i ljbKdx^.´7dljœdx[^ ip[lXsx^$b]5l7t^ šY©Z[v^ sx^-„Iljk¤bedfshjšmsxl1i ljgxgx^$sx„:lXbt

dfl>£yhjbkmsx[kmbrT„Iljk¤bedfs±§=lXg kmbedf^$gxsx^$i$dxk¤lXb ljœ-„uhjgxhjš¤šm^ š,š¤kmb^ s|{ªµljg­tk¤g|^ i.dfkmlXbsljœ-š¤kmb^ s$©

Z[^ g|^$œ=lXg|^ƒdf[^$sx^­„:lXk¤bedxshjgx^µbljd"h}I^ i.df^$tK¡±dfgxhjbsxš¤hydxk¤lXbvs) vdljbšm¡±e¡>g|ljdphydxk¤ljbs ©

Point at infinity

,kmrX g|^Žj®3zlXkmbed€lyœ,df[v^'„všEhjbv^h&d"k¤bv·bkmdc¡

acb s|lX]5^Qhy„„šmk¤i hydfkmlXbs³¬"k¢df[ lX vdxtlljgxs³s|i ^ bv^ s5df[kms5„šEhyb^i lXg|gx^$sx„:lXbtsdfl‹dx[^

„šEhyb^!h&d,[ljgxkm² lXb+© # lXg|^ lL£X^$g‡sxkmbi ^ ¬!^ dfg~¡'dxlµt^.df^$i$d‡„všEhjbhjgs~dfg| i$dx gx^yqjdf[^-„š¤hjb^-hyd

k¤bv·bkmdc¡­¬"kmšmš7:^3t^$dx^ i.df^ t³hjsh1„uhyg|dfkmi  všEhjg#„š¤hjb^y©]31l ¬-^$£j^ g$qj¬"kmdx[lX vdhjbe¡ csx^ ]hjbedxk¤i"

-7bvl ¬"šm^ tvrX^lXbdx[^s|i ^$b^jqudf[v^ gx^'kms€bl¬!h•¡Tdxl5t^$dx^ i$d1¬"[kmip[n„š¤hjb^'kms"dx[^'„šEhyb^'hyd

k¤bv·bkmdc¡j©ulXg"^.´vhj]5„šm^jq¨t gxkmbrNdx[^s~dphjvk¤šmk¤² hydfkmlXb‹„vgxl7i ^ s|s q¨¬-^i$lXbs|k¤t^$gµdf[v^¬"[lXšm^

k¤]hjrX^Nhjshjb hL£j^ gxhjrX^>„š¤hjbuhygs|dxgx i.df g|^j©¥a œdx[^>rX^$b^ gxhjš!tkmsx„všEhji$^ ]5^ bed5kmshn„ vgx^

gxljdfhydfkmlXbndx[k¤sƒhj„„g|lL´km]hydfkmlXb¥kmsƒ^.´vhji.d§YkY©^y©hjšmš,„:lXk¤bedxs­hjgx^hydƒkmbv·ubvkmdc¡¥ª.q¨^$š¤s|^³df[kms

~h•£X^$gfhjrX^"„šEhyb^³]5k¤rj[Kdƒhj„„g|l•´vkm]hydf^df[^³„všEhjbv^hyd€k¤bv·bkmdc¡jq+lXg€„gxlL£7k¤tv^5hjb‹kmbkmdxkEhyš

^ s|dxk¤]hydx^ljœ,k¢d•©

–”&’ 8 > ”2@ 8 ’ 8

Z[^ g|^hjgx^±dc¬!l‹¬!h•¡s³dxl¥hjbuhyšm¡7² ^>hjb km]±hyrX^jq{^$kmdx[^ g³e¡Ct^$dx^ i.dfkmbr¥sx„:^ i$km·ui„:lXkmbedfs

hjbt³„:^ g~œ=lXgx] df[v^hjbuhjš¢¡7sxkms‡lXb³dx[^ s|^)„Iljk¤bedfs$qXlXgK¡ sxkmbrµdx[^!¬"[ljš¤^)km]hjrX^)kmbedf^$bsxk¢dc¡

]±hy„+© ™ ^µsx[vlX šmt>i•hjšmšudf[^$sx^µdc¬-l³hy„„gxlXhjip[^ s-df[^1sx„uhygxsx^ƒhjbtNtv^ bs|^ƒlXb^y©‡Z[kms!kms)h

sx„uhydxkEhyši$ ^¬"[kmip[‹s|[lX šmt¥bljd€I^'i ljbvœ= sx^$t‹¬"kmdx[ndf[v^„g|lXšm^ ] ljœ,dx[^i$lXbedfkmbK lX s

hjbttkmsxi g|^$dx^df^$]5„IlXgxhjš+]5l7t^ šms ©

> “ > ’– @ ’•—X” 8 “ 8

acb³lX gi•hjs|^jqj¬-^!¬"kmš¤š 1ƒZ° s|^!df[v^!tkmsxi$gx^$dx^!dfkm]5^!]5l7t^ š7uhjs|^ tlXbi lXg|gx^ s|„Iljbt^ bvi ^ s

I^.dc¬!^$^ b km]hjrX^dfl -y^ bsk¤bFdc¬-lQ£7k¤^.¬"s q‡v vdhjšm¬!h•¡7s s|^dx[^±i$lXbedfkmbK lX s'lXb^Lq s o

jJ ) E$)?LHNODGHD%I[JO_?GHDaE`U ST_J LHIKJ POIL*)MIKJ # IZ*D_I!E"%D [HD\ PODTJbS D[ WDSE`P [HD%LHNOD Z*I['bE`G(IL*)

WD L<DTDJL<_FcdGXE"!D[<EYL „ ! I%N L WbDC_`cLHNOD]_GXZ*DG_`c !E&%JOIVLHPbZ*D#_c +.- 'OI10 DUK[e NODTG(D cd_^GHD#_POG

[ L(EWOIKUVIE`LHIK_J ' GH_*S Da[H[I[ !EJ ZOE`LH_G )CLH_]G(DZ*P STDL(NOI[ Z*IK[(' EGHIVL*)CLH_ + R „ 'OI10*DTU[ [ _#LHNbEYL LHNODZ*DGHI#YEYL(I1#^D

_ 'bDG(E`LH_^G([<S _^POUKZ%WD DUVUVR+Z*D J DZ:e

k¤br £j^ šmli$kmdxk¤^$sgx^ š¤hydx^ t dfl°km]hjrX^‹kmbedf^ bvsxk¢dc¡ £jhygxk¤hydfkmlXb hjs]5^ hjsx g|^ ]5^ bedxs © Z[^$sx^

¬"k¤šmš-:^Ni$lX]5„ vdx^ t œ=gxlj] dxl -j^$b i ljgxgx^$sx„:lXbt^$bi ^$se¡Ÿtkmsxi$gx^.df^hj„v„gxl•´k¤]hydxk¤ljbs³ljœ

t^ g|km£yhydxkm£j^ s1lX„I^$gfhydxlXgxs$©

–” – 8 “ 8 ”&’“ (

i$šEhysxsxkmi•hyškmsxs| ^¬"kmdx[Qs| ip[‹]5ltv š¤^$s"k¤s"df[^„g|lXšm^ ] lyœ‡„uhjgxhj]5^$dx^ gxs1hjt&}~ s|dx]^$bed•©

™ ^ljœdx^ b°s|^ ^sxlyœ dc¬)hjg|^ s¬"k¢df[ ^.´7dfgxhjlXg|tk¤bhjg|¡Ÿgx^ s| š¢dfs q  vd¬-lXg-7kmbrFlXb lXbš¢¡ ljb^

£kmt^$lŸsx^$¦K ^ bi$^ Z[^$¡ hjšmsxlC] s~d>:^nhytuhj„vdx^ t dxl hjbvljdf[^$g5k¤]hjrX^Tsx^$¦K ^ bi$^¥e¡

ip[uhjbrXkmbr¥„uhygfhj]5^$dx^ g|sljœ"df[^„g|lXrXgxhj]© €lL¬ ¬-^>¬!hjbeddflFhjbuhyšm¡7² ^k¢œ"df[^$gx^>kms5h

¬)h•¡ndxl>t^$t i ^œ=g|lX] df[^³s|^ ¦K ^$bi ^5df[^„uhjgfhy]^.df^$gxsƒdflNI^³ vsx^ tFlXgµkmœ{dx[^[^ šm„¥ljœ

hjbF^.´„I^$g|ds|¡7s|dx^ ]›kmsg|^ ¦K kmgx^$t+©N€ gxkmbrQhjš¤š{lj g­t^$£j^ šmlX„]5^ bedxs¬!^5¬"kmš¤š‡dfh-j^5i•hygx^

ljœ!dx[k¤s„gxljš¤^$]hjbtC¬"kmšmš-i$šEhjg|kmœ¡Chjšmš{df[^„uhjgxhj]5^$dx^ gxs^ k¢df[^$g·v´^$t°lXgsx^$de¡ dx[^

„gxlXrjgfhj]5]5^ glXg­šm^$œ ddfldx[^5 sx^$g © tvk¤s|i  s|sxkmlXb lXb [lL¬¶dxlnhjt&}~ s|ddf[v^ ] ¬"kmš¤š3:^

k¤s|sx ^$t+©

! T

N #.#"*

Y[X 1bTa bTcfeEa6b1]`bE] wsgZj1cTi[aZj eTas]`bMi g eMi6]`c Y

– 8 ”&– > @ 8 !!– @ ” @ > “ h> ©

Œ7k¤bi$^jq?kmbQdf[vk¤s"s|dx tv¡jq Yh * ? &,|a & ajqv¬-^ s|^'dx[^

œ=lXš¤šmlL¬"k¤bvrqvblL¬P¬-^ šmš¢oX-7bvl ¬"bC§=sx^ ^ƒœ=ljg-kmbs|dfhjbi$^2‰:œ=lXg!hgx^.£km^$¬€ªq„g|ly}~^ i.dfkmlXb]5lt^$š

®

% "!$#&%

'((((((

)((((((* % 8$+ <-,<VU B -

% ./02143 5"17698;:<

8$=B>+

;

K

176@?BADCFE

8G=B , ;

K K U

HJI

K

% 8L <NM6<OB - § Ž ª

¬"[v^ gx^

¯ kms€dx[^£j^ i$dxlXgµlyœ‡df[^i l7lXgxtvk¤buh&df^ s€ljœ‡dx[^„g|ly}~^ i.df^$t¥„IlXkmbedfs€lXbndf[v^km]±hyrX^

„š¤hjb^

¯ k¤s,dx[^-£j^ i.dflXg‡lyœudf[^)i$lljgxtkmbuhydx^ s,lyœudf[^)g|^•hjš7„:lXk¤bed,k¤bh1œ=gfhj]5^)ljœgx^$œ=^$gx^$bi ^

hydxdfhjip[^$tTdxl5dx[^gx^.dfkmbuh

¯

8$+

;

<D,

;

B!kmsdf[^„g|ly}~^ i.dfkmlXbnljœdf[v^'lj„vdfkmi•hjš¨i ^ bedx^ g q?kY©^y©{df[^„g|k¤bi$k¤„hjš „Iljk¤bed

¯ 8

143

<

146

B1hjg|^'dx[^'[lXgxkm² ljbKdfhjšhjbtQ£j^ g~dfkmi•hjšsxi hjš¤^'œYhji$dxlXgxs$q?kV©^j©df[v^s|k¤²$^ljœ{ljb^

„k´v^$š lXbdf[^i•hy]^$gfh5sxi$gx^ ^$b+©

¯

=³k¤s)dx[^i lX]5„šm^ ]5^$bKdfhjg|¡lyœdx[^hjbrXšm^ljœtkms|dfljg|dfkmlXbTljœ#df[^„k´^ š §,lXglyœdx[^

lX„vdxk¤i hjš h&´^ s$©¤©m©«ª.©

Z[v^ gfhydxk¤ljb 8

143 ? 146

Bkms‹ljœ dx^ b -KblL¬"b hjbt i lXbvs|dphybKd «ŠXŠW q­¬"[kmš¤^ = kmsnljœ dx^ b

^ ¦K uhjš"dfl

? W€hjbt i lXg|gx^ s|„Iljbts±dxl h sa-j^.¬)oœYhji.dflXg$© Z[v^ gx^.œ=lXgx^Tdf[^Q]hydfg|k¢´ 

ljϵdx[^(

“•”

’ — –” – 8 “ 8

”&’

ljœ1df[^Ti•hy]^$gfh k¤st^$·b^ t k¤b „gfhji.dfkmi ^Te¡°df[g|^ ^

„uhjgfhy]^.df^$gxsVŠ Vqhjšmdx[lX rj[Nhyd-h­df[^$lXgx^.dfkmi•hjš?šm^$£j^ š:kmd i•hyb±[uh•£j^µ „dfl kmbt^$„I^$bt^ bed

„uhjgfhy]^.df^$gxsV¢ŽL‰V©

Z[^³¦K uhjbedfk¢dc¡Ÿkmsµdf[v^t^ „vdx[¥ljœ{df[v^„IlXkmbed­hjšmlXbr>dx[^³lX„dfkmi•hjš,h&´k¤s$© ™ ^³i hjbFhjšmsxl

i lXbs|k¤tv^ g hjs‡hƒ_ ˆµ]hydxgxk´³hybt5hjtth1i l7lXgxtvk¤buh&df^-dxl # q % 8LN<-MZ<Om< B#¬"[^$gx^

R% Uœ=lXg­h±bv^³„Iljk¤bedfsƒhjbt R%RKNœ=lXg€„Iljk¤bedfsƒhyd­kmbv·ubk¢dc¡X©

šmšdx[kms­i•hjb¥:^³sx v]

 „QljbQhs|]±hyš¤š#rXgxhj„[+®

# lXgx^„g|^ i$k¤s|^ š¢¡Xq#[^ g|^jq 8$+ <-,TB1hjgx^dx[^„k´^ š{i l7lXg|tk¤bhydf^$s­ljœ3df[^5Šyž„vgxly}~^$i$dfkmlXb

ljœµdx[^n_j „:lXk¤bed ¬"[kmip[ < i l7lXg|tk¤bhydf^$sNhjg|^j®.8LN<-MZ<Om< B- © ™ ^

ip[lljsx^^$kmdx[^ g§VhXªR% Uœ=lXg€hb^'„IlXkmbedfs€lXg³§=?ªR% Kœ=ljg€„g|ly}~^ i.dfk¢£X^³„:lXkmbedfs€hyd

k¤bv·bkmdc¡jqKkV©^j©{_j š¤kmb^tkmgx^$i$dfkmlXbs3lXgc£yhjbkmsx[kmbr„:lXk¤bedxs elj g‡^ ¦K uh&dfkmlXbs{¬"k¤šmš:^)£yhjš¤kmt

k¤bTIlydf[Ti•hjs|^ s ©-a d1k¤s"km]„:lXg~dphjbed"dflbljdx^dx[uhyd k¤s"dph-y^ bQk¤bQh `a 0* 0vY

H( hN a4 Y&+ ¬"k¢df[Ÿdx[^ "o h&´kms³hjšmkmrXb^ t ¬"kmdx[Ÿdf[v^NlX„vdxk¤i hjš h&´k¤s$© sljb^

i lXbs|^ ¦K ^$bi ^yq4 k¤sdx[^t^ „vdx[Qlyœdx[^„IlXkmbed€hjš¤ljbrdf[^lX„vdxk¤i hjš#h&´kms ©

Œ7k¤bi$^'¬-^i lXbvsxkmt^ g€h2&d & 4 & uqv¬-^i•hjb¬"gxk¢df^5®

%L! §VŠXª

! #"%$'&#$("% # )+*,-,

/.0&

*

21#/ #3/4.

! #"%$5&#$("% #

6 ,-*%7/3/0* 89;:-< ,0= 3=#,

>@?

A B C

D C ?

E E ?

!F!1HG * 0* JILKNMOP

6 ,0*Q7/3* B ?

D ?

A ?

R

>

,kmrX gx^'Š7®JS3šm^ ]5^$bKdxsµ s|^ tQk¤bdf[^t^.·ubk¢dfkmlXbTljœdx[^„gxljš¤^$]©

¬"[^ g|^ k¤s‡dx[^)dfgxhjbs|šEhydxk¤ljbuhjšv£j^ šmli$kmdc¡hyd,df[^"lX„vdxk¤i hjši$^ bedf^$g-hybt dx[^"gxljdfhydfkmlXbuhjš

£X^ šml7i k¢dc¡Ÿljœ!df[^±gxkmrXk¤tClX}~^$i$d•qB :^ šmlXbrjsdflv©ulXg„:lXkmbKdxs³hydkmbv·ubk¢dc¡Xq‡¬-^Ns|k¤]5„š¢¡

[uh•£X^

% L! …qukV©^j©{¬-^'i hjbTi lXbs|k¤tv^ g %LKv©

8 ” T –v“ h> >NU “ z 8WVYX ” 8 “ ( – !; > “ > [Z €lL¬i lX]k¤bvk¤br dx[^Ÿ„vgx^$£7kmlX s

^ ¦K uhydxk¤lXbvs"¬-^'lXvdphyk¤b 8 ®

% \^]`_ba 8[UWB

%

cedgf !\h\[i5]`i5jhkO!Ql #!Q_bj

%

& d! p( +^m !nj^o8 B

%

qp > & d! 8$qp > B ( +^m !nj^o8[UWB

%

p >

r st u

v

r st u

w

9

-

r sxt u

y

8G ?

f;i@#ƒ8GB

r sxt u

z

B`! m !Qjhk{i}|

R~{€

* |ƒ‚

€{„

…x†n‡I P

‰ˆYŠ#‹Œ|

~ * ‚ €

% F8n Ž &6(*hB

r sxt u

‘ “’ l”\ #•i5]–\^l;kO#•_Y] !%—˜l #!%_Yj

\ !Qj^l;™4™d›š

œ % 

DD %Ÿž2 >

D ’

§Y_eª

  NOI[ GX[hLQ[hL(G(EI1%^N L cd_G E`GXZ Z*DTG(I1#YE`LHIK_J I[ %I#DTJIVJ Z*D LXE`IKUK[e¢¡L(NODTGQZ*DGHI#YEYLHIK_Jb[_c6LHNOI[Œ£ IVJbZ

IKUKU WbDQUKD cLL(_ LHNODQG(DE^Z*DTG IKJML(NODF[HD\ PODTU,e

s|ldx[uhyd"k¢œ,¬-^t^$·ubv^j®

'((((((

)((((((* ’ % #&% i ]`i@#!Qj[l;™

]`_;i kN#!%_Yj _˜\ _Y]#\^_`kO+^m _`\ i :

l;jhm !%_Yj<

 % ?

f”i@#ƒ8$B #&% i jh_Y]ba›l”™!Q—+i5f ]˜i@#!nj[l;™

]`_i kN#!%_Yj _˜\ <

Ž % 4- % !%k;% !%m !Qjq_Yjhi

5

#•_

5

_Yjhi k{_b]b]`iYm

_bj^f;lj[k i "!$#&% &ŽL‰M<€Šyˆ ( <

 %

p > \[_Y] % !%k;% ii5l”m !%™d o”i@# š

Ž %WŽ“ŽŸ - l;j^f

ž %  “Ž &6(* k{l;™/™/i5f #&% i #m@#xl;cN!%™ !%—`l #!Q_bj a›l #x] !S:

§=ˆKª

¬!^5lXvdfhjkmb dx[^5„gx^.£kmlX s'^ ¦K uh&dfkmlXb ¬"[vk¤ip[Cip[uhjgfhyi$df^$gxkm² ^$sdf[v^ ~Šj…gx^.dfkmbuhjšoc]5ljdfkmlXb

% 8 + < ,I<KB.© ™ ^hyš¤s|l±t^.·ub^­df[v^ V X ” 8 “ – !; > “ h> hZ

œ ©

” > X “ > ” 8 “ ( – ! ; > “ > ,

s~df^ „œ= g~df[^$g qusxkmbi$^'e¡t^.·ubk¢dfkmlXb+q¬"k¢df[

P$%'8 KM<KM< UWB -¨q ^-mP|% U'hjbvt ^-mP$%LKvqvœ=g|lX] §Y_eª.qv¬"[v^ bn] š¢dfkm„šm¡7kmbrNe¡P-#®

u% 8 P -

ž2 B d8P - ’ B

%OP

-

œ

§SXª

i•hjšmš¤^$tTdx[^ s~dfgx vi$df vgx^^$£jlXš¤ dfkmlXb '^ ¦K uh&dfkmlXb+©

Z[vk¤sƒš¤hjs~dµt^$gxk¢£yhydfkmlXb¥hjšmšml ¬"s€dflNljvdphjkmb+q:e¡Q^$š¤km]5k¤bhydfkmlXb‹ljœ

¶hjbtQtkm£7kmtkmbre¡

kmbŸ§V_eªqvdf[^­œ=lXšmšml ¬"kmbr5œ= btuhy]^$bedphjš ^$¦7 hydfkmlXb+®

%3 5 P -

r st u



œ § ª

Z[v^Šjgx^$dxk¤bhjš¢o ]5ljdfkmlXb kms1dx[7 vs€df[v^„g|ly}~^ i.dfkmlXb­lyœ‡df[^_Xgx^$dxk¤bhjš¢o ]5ljdfkmlXb

œ

ljbKdxldf[^gx^.dfkmbuhjš „š¤hjb^kmbTdx[^tkmgx^ i.dfkmlXbTljœdx[^lX„vdxk¤i hjš gfh•¡X©

™ ^>hyš¤s|l‹i•hjb ¬"g|kmdx^±dx[^>„g|^$£7k¤lj s³^ ¦K uh&dfkmlXbs³kmb°hns|i•hjš¤hjg³hybt sxlj]^$[lL¬]5lXg|^

gx^•hytuhjšm^­œ=lXgx]q^´v„hjbtkmbr

œ ®

+ % 8ž";;

5 ž @@B+ ž";=> , ž ; @ 5 ž @ ; + @ 5 ž @ >+", >

D &’ ; 5 ’ @ +I(

, % ž >; + d8ž >>

5 ž @@ B, ž >S@

5 ž @ ; +",

5 ž @ > , @ >

D &’ > 5 ’ @ , (

"!G#&%

O% F&ž @ ; + ž @ > , ž

@@

( ’ @

§SXª

NOD !E`LHG(I0 IKJ%Da\ P EYL(IV_^J N E[<L(NOD]cd_UKUV_ IKJ %/'OG(_&'DTGHLHIKD[!

"$#% "&'#)(+*-,).0/"1*2#)* &4#533 &

N IK[ !DE`Jb[6L(N EYL6 I[ E 'OGH_7hDS LHIK_J !EYL(GHI108^L(NOD 'OGH_7hDS LHIK_J_J L(_QLHNODCG(D LHIKJ EU 'OUE`J D_`cD\ P EYL(IV_^J

9

#%(E`UK_J % LHN DFZ*IVG(DS LHIK_J%_`c.LHNODQ_ '*LHISTEU:G(E$):& e

#–v“ h> (^T –” – — 8 Z[^ s|^±^$¦7 hydfkmlXbs'hjg|^k¤be£yhjgxk¤hjbed­œ=lXgƒdx[^³œ=lXšmš¤lL¬"kmbrdc¬!l

dfgfhybs|œ=lXg|]hydfkmlXbs$®

k{l;™/i \^l;kN#•_b] ’

œ ’

œ

œ

:

l;jhm !%_Yj \^l;kN#•_b] ž ž

H 3

H

§Y‰eª

Z[v^ a , ^ h >„g|lXšm^ ] kmsT¬-^ šmšo -KblL¬"b œ=lXg]5lXbl7i  š¤hjgk¤]hjrj^Cs|^ ¦K ^ bvi ^ s

§Vhjrehyk¤b‰ rXk¢£X^$sµhgx^.£7k¤^.¬€ª.©

€ gxkmbr bK ]5^ g|k¤i hjš1^ s|dxk¤]hydxk¤ljbs q)¬-^Q¬"kmš¤š€hjs|sx ]5^jqkmb dx[^Q·gxs|dœ=gfhy]^yq)^ k¢df[v^ g

, ; % UlXg , > % UlXg , @ % U'ljg , ; % , > %, @ %LKdxlhL£jlXkmtTdx[k¤s1kmbt^$dx^ g|]kmbuhydxk¤ljb+©

Z[v^ ƒ. .& ^ h ³kmshjšmsxl"-7bvl ¬"b hjs±hjb k¤btv^$df^$gx]5kmbuhydfkmlXb kmb ]ljbli$ š¤hjg

k¤]hjrX^„:^ g|i ^$„vdfkmlXb+q7k¤b5df[v^€hysx^$bi ^1ljœIi•hjšmk¤vgfhydxk¤lXb¨©‡a d3i lXg|gx^$sx„:lXbts3dfl­df[v^"œYhyi$d{df[hyd

h ²$llj] ­i•hjb‹bvljdµ:^'tk¤s~dfkmbrX kmsx[v^ t¥œ=gxlX] h5¬!ljgxšmt‹^.´„uhjbvsxkmlXb+q¨kY©^j©df[uh&d€¬-^³] vs|d

dph-y^'s|k¤]5kmšEhygxk¢dfkm^ s1k¤bedfl±hji$i lX bed q:bvljd"lXbš¢¡gxkmrXkmtQtvk¤s|„šEhyi ^ ]5^$bKdxs|¢ŽWWV©3Z[k¤s"œYhji.d"[uhjs

I^$^ b5hjbuhyšm¡7² ^$tk¤bk¤ljš¤lXrjk¤i hjš7£7kmsxkmlXbq uhjbvt³„uhjgxhj]5^$df^$gxkm² ^$t+qek¤bdf[^-tk¤s|i g|^$df^i hjsx^yq

œ=lXgi lX]5„ df^ g£7kmsxkmlXb.ŠyˆV©

€ gxkmbr b7 v]^$gxkmi•hjš­^$s|dxk¤]hydxk¤lXbvs qµdx[k¤skmbt^.df^ g|]5k¤buh&dfkmlXb ¬"kmšmš­I^Fh•£Xljk¤t^$t+q­hjs o

sx ]5kmbr ž @@ %LKqvsxkmbi$^­kmdtvl^$s)b^ k¢df[v^ g)ip[uhybrX^ƒdf[v^µœ=lXgx]žljœ dx[^ƒ^$¦7 hydfkmlXbsbljg!k¢dfs

b7 v]^$gxkmi•hjš#i$lXbtk¢dfkmlXbkmbr©

g|^•hjs|lXbkmbrk¤t^$bedfkmi•hjš+dxlŠyˆ hjš¤šmlL¬"s" s)dfl5s|dfhydf^­dx[uhyddf[v^ sx^'hjg|^ƒdf[^lXbvšm¡±dc¬!l

sx ip[Tdfgfhybs|œ=lXg|]hydfkmlXbs)¬"[kmip[‹šm^•h•£X^N§ jª!k¤be£yhjgxk¤hjbed•©

Y a w1g6b€i cTaZjEi eMnpa e€nm]`bwsg6bMg ]veT]`b€ivg eMi[aZj1c a6_,eMnm]^bT]ve€i

j1g a e€i aZj Y

y z 8 —X– ! ‘” –v“ 8 @T—X–u’ 8 acbdf[^3i•hyš¤kmgfh&df^ t'i•hysx^jq&df[^3]5ljdxk¤lXb'^ ¦K uh&dfkmlXb[hjskmbt^$^ t

df[^sfhj]5^œ=ljgx] §Ys|^ ^œ=ljg€kmbs|dfhjbi$^‰ ª¬"kmdx[ ž %F& (+*hjbt ’.% Ÿ©"Z[^³s| k¢dphjšm^

bljdph&dfkmlXbs qI sx^$tF[^ g|^jq hjšmšml ¬"s€dfl>t^ hjš¬"k¢df[¥s|k¤]5kmšEhygµœ=lXgx] š¤hjsƒkmb‹Ilydf[‹i hjsx^$s ©Z[^

bljdfkmlXbljœ,_X gx^$dxk¤bhjš¢o ]5ljdfkmlXbk¤s1hjšmsxlsxkm]5k¤š¤hjgdfldx[^i•hjšmk¤vgfhydx^ tni hjsx^ V©

–” – 8 “ 8 ” –“ > “ z 8 @ ’•—X” 8 “ 8 —X–u’ 8 Z[^ „g|^ sx^$bed°hj„„vgxlehjip[i ljgxgx^o

sx„:lXbts3dfldf[^1sxli•hjšmšm^ t €ocs )t^ i$lX]5„Iljsxk¢dfkmlXb)ljœ¨ bo i•hjšmk¤vgfhydx^ tN]5ljdxk¤ljb Šyˆu¬"k¢df[

I#DJ L<_CcdG(E&! Da[ EJ Z*LHNOD !TR D\ P EYL(IV_^J I[ #"%$

"

&& #(')&*)+

"-,

IVLHN-' #/. 01.32

+

EJ Z

,

#1456^e

df[^­œ=lXšmš¤lL¬"kmbri lXg|gx^ s|„Iljbt^ bvi ^ s$qIs|[lL¬"bQkmb^«Šj_ ®

D &ƒ(* % f&(’ (* f @ &’ (*qž _T84f B

D % f ’ _M8/f @ B

D % 3“f ž _T84f @ B

§Yeª

¬"[^ g|^Pkmsdf[^u bvtuhj]5^ bedphyš ]±h&dfgxk´Iq dx[^­^ „vk¤„:lXšm^hjbt dx[^­i lXšmšmk¤b^ hydfkmlXbljœ

df[^„š¤hjb^'hyd"kmbv·ubk¢dc¡X©

ug|lX] hFbK ]5^ gxkmi•hyš1„:lXkmbed±lyœµ£7k¤^.¬q!df[v^TrXhjk¤b ljœ1df[^i$lXbedfkmb7 vlX s>hy„„gxlXhjip[ kms

df[^­šmk¤bv^•hjg|kmdc¡hybthI^.dxdf^$gi lXbvtkmdxk¤ljbk¤bvr5¬"k¢df[g|^ sx„:^ i.d"dfl³df[v^­]lydfkmlXb„uhjgfhy]^.df^$gxs

§Y[^$gx^ ž hjbt ’,ª.©Z[^¦7 hjbedfk¢dfkm^ shjgx^5^.´„g|^ s|sx^ t°tvk¤g|^ i$dxšm¡Fkmb „k¢´^$šVq¬"[^ g|^•hjsdf[kms

¬)hjs"blyd1dxgx ^kmbdf[^tkmsxi$gx^$dx^i hjsx^$ŠyˆV©

–” – 8 “ 8 ” –“ > U ” > “ z 8 ” > 8 —j“ h> Ÿ–v“•” — 8 ’ ? vg|df[v^ gx]5lXg|^jq‡kmbCdx[^

tk¤s|i g|^$df^"i hjsx^"hjbvt vsxkmbr]ljgx^)df[hjbdc¬!l­£7k¤^.¬"ss¢Ž7qŽ i lXbs|k¤tv^ gxkmbrdf[^„vgxly}~^$i$dfkmlXb

]±h&dfgxk´I®

%

r sxt u

r2st#u

!

k¤bs~df^ hjtQlyœdx[^" m$ocg|^ „g|^ s|^ bedphydxk¤ljbnšm^•hjts"dflhsxkm]5„šm^ g1gx^ „vgx^ s|^ bedph&dfkmlXb+©

Z[vk¤s­kmsƒbljdµdfgx v^³k¤b‹dx[^³i$lXbedfkmb7 vlX si•hjs|^jq+s|k¤bvi ^df[^i lXg|gx^ s|„Iljbtkmbrhj„„g|lehjip[

gx^ ¦K kmgx^$s,df[v^!i ljbs|dxgx i.dfkmlXbljœ?gfh&df[^$g[^ h•£7¡³hjšmrX^ gxhjkmi!lX}~^$i$dxs mŽ•_ +§Ysx^$^hj„„:^ bvtk¢´$#

œ=lXgt^$dfhjkmš¤sfª.©

acb±lXgxtv^ g3dflrj^$d!h's~df^ „±œ= g|dx[^ g$qšm^$d- s!bvl ¬ hjbuhjš¢¡7² ^µkmbNtv^$dphyk¤šms-dx[^€„všEhjbhjg-i hjsx^y©

Y&% ' j1g)( )i[j1kReMnm]pw gZj1g6b tvg6cT]6Y

™ ^ hjs|sx ]5^ŸkmbPdf[kmsQs| o sx^ i.dfkmlXb dx[uhydQhjšmš­„Iljk¤bedfs :^ šmlXbrjsTdxl h°„š¤hjb^+* ljœ

^ ¦K uhydxk¤lXb¨®

f 8 u<,* B %Wf

5.-

- %LK "!G#&% f0/ K lj[f

1

-

1

% U §~Ž eª

¬"[^ g|^jqehjst^.dphjkmš¤^$tœ=lXg#kmbs|dfhjbi$^)k¤b4«Š Vq

-

k¤sdf[^ „š¤hjb^ blXg|]±hyšhybt f$%Wf 82* <,3$B54

KTk¢dfstkms|dfhjbi ^5dfldf[v^ljgxkmrXk¤bChjbt f 8 L<6* B€dx[^ S{ i$š¤kmt^ hjbŸtkms|dfhjbi$^±ljœ dxldx[^

„šEhyb^

©

7

f+J%LHN DFZ*IK[(S G(D L(DFSTE^[ D*_JODQS _^POUZ DIL(NODTGG(IVLHDFE[ P W*R,_ '*LHI!E`U:UKIVJ DE`GSTGHIVLHDGHIK_J%_GEJM_ '*LHI!E`U

J _J*RUVIKJODaE`GS G(IL(DTG(IV_^J e

acbedxgxl7t i kmbr±§~ŽLªkmbT§~Žeª ¬!^i hjb³¬"gxk¢df^ - % >

D

¬"[^$gx^)¬-^t^$·b^C%

ˆbŠ#‹

¬"[k¤ip[ kms 2* & 2 < )

-?

f?©Bz{š¤hjb^$sN¬"[kmip[ i lXbedphyk¤b dx[^

lX„vdfkmi•hyš+i ^$bKdx^ g€hjgx^^´vi$š¤ vt^ t+©

Z[vk¤s€hjšmš¤lL¬"sdfl5^ šmkm]kmbuhydx^ >

D

kmbŸ§ ª)hjbvtTk¢œ,¬-^t^$·b^j®

ž %Ÿž ’

-

o3 §~ŽjŽ ª

¬"[^ g|^kms€hjb bt^.·ub^ tQsxi hjš¤^œYhji.dflXg$qv¬!^^ hjsxkmšm¡s|k¤]5„šmk¢œ ¡C§ ª)hjs

œ

%Ÿž lXg­®

+ % 8ž ;;

5 ž @@

B+ ž ;=>

, ž ; @

5 ž @ ;

+ @ 5 ž @ >

+ ,

, % ž2>;

+ L8ž

>>

5 ž @@

B, ž2>S@

5 ž @ ;

+ , 5 ž @ >

,h@

§~ŽLŠXª

 – !9 “ z 8 8 #–v“ h> ’ Z[k¤skms5h‹¦K uhjtgxhydfkmi>·u^$š¤t+q hjsk¤b°df[v^>i•hjšmkmgfhydx^ t

i•hjs|^2«ŠW ©{Z[kms^ ¦K uh&dfkmlXbk¤s"hjšmsxldx[^­sfhj]5^hjs­§ ª-v vd¬"kmdx[›’ Khybt ž ž©

s„gx^.£7k¤lX vsxš¢¡XqbK ]5^ gxkmi•hyš^$s|dfkm]hydfkmlXbsQhjg|^ tvlXb^¥¬"kmdx[ ž @@

% K dfl h•£XlXkmtB vbo

t^$dx^ gx]5kmbuhydxk¤lXb¨©

Z[v^ ž ]hydfg|k¤i$^ si lXg|gx^ s|„Iljbt dxlFi lXšmš¤kmb^ hydfkmlXbsk¤b df[v^Ttvk¤s|i gx^.df^Ti•hjs|^jqhys³œ=lXg

k¤bC§VXª­®

Dd3“f ž _T84f

@ B

acbCi lX[v^ gx^$bi ^±¬"kmdx[Ÿdf[^5œYhji.ddx[uhyd k¤s't^$·b^ t° „ dflnhTs|i•hjšm^±œYhji.dflXg ž kms

t^$·ubv^ tn v„Tdxl±h³œYhji.dflXglyœdx[^k¤t^$bedfk¢dc¡Xq:hjsœ=lXgx]hjšmkm² ^ tTkmb § ŽXŽ ª.©

Z[vk¤s³œ=lXg|]hjš¤km²•h&dfkmlXb°k¤bvi šm t^ sdx[^i•hjs|^ljœ"df[^ [lXg|k¤²$lXb NlXg³„š¤hjb^h&d³kmbv·ubk¢dc¡

* q ^$¦7 vkm£yhjšm^ beddflh>„ vgx^gxlydphydxk¤lXb¨©"ug|lX] hjb hjš¤rj^ gxhjk¤i„IlXkmbed­ljœ3£7k¤^.¬q#kmœ ^ k¢df[v^ g

% ’%uKvqlXg"i$lXbsxkmt^$gxkmbr * §=kV©^j© %dKXª.qv¬-^[hL£j^‰ž %Ÿž±©

T> ! “ > U ” > > 8 U ” – 8 “ > – > “ z 8 ” s~df^$„ œ= g~df[^$gT¬-^Ci hjbB^ hjsxkmš¢¡

i•hjšmi  š¤hydx^5dx[^5^$£jlXš¤ dfkmlXbClyœ-dx[^5„gxly}~^$i$dxk¤lXb ljœ3df[v^„všEhjbhjgƒ£X^$i$dfljg qhjbt hi•hjšmi  šm s

£X^ g~¡sxkm]5k¤š¤hjgdfldf[v^'„vgx^$£7kmlX s1lXb^$s§YhjbtTš¤^.œ d"dfldf[^g|^•hjt^$gpª)rXk¢£X^$s®

C%

5 ž -

§~Ž•_eª

¬"[k¤šm^5¬!^[uhjt

- % - ! hybt

fN%

- - œ=lXg­df[^ S{ i šmkmt^•hjbŸ„šEhyb^5rX^ lX]5^.dfgxkmi

^ šm^ ]5^ bedfs$©

> “ ( “ z 8 U(> —"’ >NU48 – ’ > , !lXbs|k¤t^$gxkmbr h „IlXkmbed a¥q€bvljdb^$i.o

^ sxsxhjgxkmš¢¡°„gxl&}~^ i$dxk¤ljb lyœµh¥_j „IlXkmbed5k¤b dx[^„š¤hjb^ * ¬!^i hjb ^•hjs|k¤š¢¡ t^$gxk¢£X^$t ¬"k¢df[

%

œ ®

œ % ž

U

5 8 - B

r sxt u

Š ’ §~Ž ˆKª

Z[vk¤s-]^ hjbs df[uhyd-k¢œ+df[^1gx^.dfkmbuhjš?]5ljdfkmlXb±ljœ#h„IlXkmbed!bvljd!kmb±dx[^µ„všEhjbv^€kms)hj„v„gxl•´Ko

k¤]hydx^ t>e¡5df[^€„š¤hjbuhjg ]5ljdfkmlXbNdx[^µg|^ š¤hydf^$t>^ g|gxlXg k¤s!hjš¢¬)h•¡7shjšmk¤rjb^ tN¬"k¢df[±df[^1œ=li$ s

ljœ,^´„uhjbs|k¤lXb ’ q]5lXgx^„g|^ i kmsx^$šm¡:®

’ - & !.8 5 ž B (A%LK §~Ž Xª

hjbtNdx[^€œ=l7i  s!ljœ ^.´„uhybsxkmlXbi•hjbNI^ƒ^$s|dxk¤]hydx^ thjs-sxl7lXbhjs dc¬!lrX^$b^ g|k¤iµ„IlXkmbedfs)bvljd

k¤bdf[^„š¤hjb^'hjg|^­i lXbvsxkmt^ g|^ t+©

8 !Y–v“ /T8 !> —X–v“ > = “ z ” 8 ’ 8 —j“n“ > – !=– 8 u g|dx[^ g|]ljgx^jqœ=gxlX] «Š ¬-^

-7bvl ¬ df[uh&d•®

U

% f 8 L<,*"B f 8 L<63$Bf 82* <,3 B

¬"[k¤ip[Tkms"h³]^ hjsx vgx^ljœ „g|lL´km]5kmdc¡ ƒœ=g|lX] h5„:lXkmbeddfl5h³„š¤hjb^yqukmdxs%&d tv^$df^$gx]5kmb^ s

¬"[^$dx[^ g kms"I^$[kmbtQljg1kmbœ=gxlXbed1ljœdf[^„š¤hjb^yq?hjs"k¤bedxgxl7t i ^$tQkmb^mŽL ©

zlXkmbKdxs ck¤bœ=gxljbKd€ljœ ƒdx[^„šEhyb^>§=kV©^j©-I^.dc¬!^$^ bndx[^'„šEhyb^'hjbtQdx[^gx^.dfkmbuheª[uh•£X^

df[^'sfhj]5^'sxkmrXbQhjs +U

5 8 -" B

¬"[vk¤ip[‹kms"df[^£yhjš¤ v^ljœ >

D

œ=ljg)df[^'k¤bedx^ gxs|^ i.dfkmlXb‹ljœ

df[^lX„vdxk¤i hjš+gxhL¡N¬"kmdx[Qdf[v^­gx^$dxk¤bhv©

8 “ 8 —j“ >”T !=– –v” –v“ — z 8 ’ ?g|lX]§~ŽXŽ ªqXdc¬!l]hydxgxkmi ^ s ž

Š

hjbt ž

i lXg|gx^ s|„Iljbt±dxl'dx[^µsxhj]5^€g|k¤rXkmtNtvk¤s|„šEhyi ^ ]5^$bKd qv¬"k¢df[N]hydxgxk´›ž hjbt5œ=li$ s ljœ+^´v„hjbo

sxkmlXb ’ q k¢œ)hybtCljbšm¡‹kmœL% &ž

Š 5

ž [( . $/ &dI ) Y & N 0 .

lXg^ ¦K k¢£yhjš¤^$bedfš¢¡I®

’!.& 8ž

Š 5

ž B ’ (A%dK §~Ž ª

GH_ ! *+ + <D]N E$#D #*

+

r st u

!

)!

+"

#

r st u

$ %

cd_G[H_&!D

E`J Z& IVc.EJ ZM_JOU)Ic.LHN D )

ST_G(GHDa['_JbZLH_ L(NODF[HE&!D !E`LHG(I0(' E`J Z #DaS L(_G *6e

)

P SXN E !EYL(GHI10* I[ _`cbLHNOD cd_^G(!+ #)*

),

%

cd_G [H_&!D

E`J Z- #IVcEJ Z _JOU)FIVcbL<_#DI1%^DTJ*R#YE`UKPOD[

œ=lXg"hrXkm£j^ b ’-©

Z[vk¤s„g|lL£kmt^$s5hjb°hjšmrX^ vgfhjkmi>i ljbtk¢dfkmlXb dfln£j^ g|kmœ¡Ÿkmœ§=kª'dc¬-l¥gxkmrXkmt „š¤hjbuhjgtk¤s o

„šEhyi ^ ]5^$bKdxsNdfl i ljgxgx^$sx„:lXbt dxl dx[^nsxhj]5^Qg|k¤rjk¤t ]lydfkmlXb lXgn§YkmkEªdc¬-lŸg|k¤rXkmt „všEhjbhjg

tk¤s|„š¤hji ^$]^$bedfs€dxl5I^i lj]„hydfkmšm^'¬"k¢df[QhrXkm£j^ bTœ=li$ s"ljœ,^´„uhjbs|k¤lXb¨©

Y aZj1cTiJ1]`b€i[j1k [i jm]OeTao] j1c Y

™ ^-i•hjbhyš¤s|lƒk¤bedxgxl7t i ^M&+< :.kmbdf[v^)^ s~dfkm]±h&dfkmlXb³ljœu„všEhjbhjg,lXggxkmrXkmt³s|dxgx i.df g|^ s

hjs"k¤bdf[v^'tvk¤s|i gx^.df^'i•hjs|^4Šyˆ ©

31^ g|^jqdf[v^'bvljdfkmlXbTljœ,šmkmb^.o dfl -y^ b f±ljœ^ ¦K uhydxk¤lXb ®

f

-

%dK

k¤sƒkmbedf^$rXgfhydx^ t¥kmb‹lX g€œ=lXgx]hjšmk¤s|]q¨e¡nkmbedfg|lt vi kmbr>df[^k¤t^ h>ljœ3sxšmkmtk¤bvryoc„:lXkmbKdxs­hjsƒkmb

«Šyˆ #lXgQŠ V®

!fU< <-A% H Ps!

r st u

f \^_b]ƒm _Ya i H §~Ž Xª

¬"[^ g|^ H {kms­hjb¥ vbt^$·b^ t+q ·v´^$t ¦K uhybKdxkmdc¡‹hjbt µkmshjbFhjg|k¢dfgfhyg|¡T„Iljk¤bedlXbndx[^

š¤kmb^j©

Z#¬-lQs|š¤kmtkmbryoc„:lXkmbedfst^$·b^df[^Šj"ocšmk¤b^5s|k¤bi$^ > ! @ % 8 H > 5 H @ B

q+¬"[k¤šm^

^•hjip[ ,k¤s­t^.·ub^$t kmb¥df[^

tkmgx^$i$dfkmlXbFlXbš¢¡X©"^ i km„g|li hjš¤š¢¡Xq {kms­t^$·ubv^ tFk¤b‹dx[^

tk¤g|^ i.dfkmlXbQlyœ

lXbvšm¡jq?hjs"^•hjs|k¤š¢¡^ s~dphjvš¤kmsx[^$t‹e¡t^$gxk¢£jh&dfkmlXbQlyœ§ ŽWXª.©

u g~df[^$gx]5lXg|^jqœ=ljg!h'š¤kmb^.o sx^$rX]5^ bed•qs|š¤kmtkmbr³„:lXkmbKdxs!„:lXsxk¢dfkmlXbs-k¤b±df[^€tk¤g|^ i.dfkmlXb>ljœ

df[^€š¤kmb^€dxl -j^$bhjgx^1:lX bt^$te¡dx[^µšmkmb^ƒsx^$rX]5^ bedšm^ brydf[+q7df[K s!„vgxlL£7k¤tkmbr5hjbvljdf[^$g

hj„„g|lL´km]hydf^]5^•hjs| gx^y©

Z[v^s~dphydxk¤s~dfkmi•hjš‡œ=gxhj]5^$¬-lXga-¥tv^$·ub^$tCkmbFdf[^b^´7ds|^ i$dxk¤ljb ¬"kmš¤š3hyš¤šmlL¬ dxlTkm]5„šm^.o

]^$bed1dx[kms1kmt^ hv©

EGHDCD\ P EU:WbDaSTEP [D]_^J%_^JOD]N E`JbZ8*ILI[DaE[()LH_[HDTDCLHN E`L!

, * / * # *

/ # ) *

*

[H_ LHN E`L NbE[<IVJbZ*DTDaZL<_ DI1%^DTJ*R #YE`UKPOD[ NOISXNMEGHDCD\ P EUNOIKUVD]_^JLHN DC_LHNODG N E`J Z *Ic E !E`LHG(I0

2N E[L _DTI%DJ*R#0EUVP D[ NOISXN E`G(DCDa\ P E`U # %

IK[_`c G(EJY£F[HIVJbS D]cd_G#E`J )#^DS L(_G

IKJ

L(NODFS _^GHG(D[('_J Z*IKJ % L _Z*I!DTJ [HIV_^J E`U:DI1%^DTJ*R+[(' ESTD

#%(E`J ZMIK[LHN P [ _`c.LHN D]cd_G !%#! #"

e

'. ±­$ TT$$"* # ¥

’ ( — > ” 8 ” @ 8 “ 8 —j“ > – @ ! > —X– !³— > ”&” 8 !=–v“ h> , ?ljš¤šmlL¬"k¤br ]5lXs|d5km]5„šm^.o

]^$bedphydxk¤lXbvsŠj‰vqyŠyˆvqyŠj_ 7¬-^!i hjbtv^$df^$i$d,„IlXkmbedfs,hyd¬"[vk¤ip[dx[^!]5ljdxk¤ljbo ·u^$š¤tk¤st^.·ub^ t

k¤bNdc¬-l³tkmgx^$i$dxk¤lXbvs qkY©^y© i$lXgxb^$gxs §=[^ g|^µ s|k¤bvr«ŠWªq¬"[^$gx^ hjshjšmlXbr^ trX^$s!df[v^µgx^.dfko

buhjšu]5ljdfkmlXbo ·u^ šmtNkms k¤brX^ bv^ gfhyš:tv^$·ub^$t>kmbdx[^€^$trX^1blXg|]±hyš:tvk¤g|^ i$dxk¤ljbNlXbš¢¡Q§ -KblL¬"b

hjs-dx[^­hj„:^ g~df g|^µ„g|lXšm^ ]±ª ¬"[kmš¤^µlXb>„:lXk¤bedxs)bljd-lXb>^$trX^ s)dx[^µg|^$dxk¤buhyš¨]5ljdfkmlXbo ·u^ šmt

k¤s€k¤šmš¢o t^$·b^ t §=sx^$^œ=lXg1k¤bvs|dphybi ^ŠŽ?œ=lXg€h±tvk¤s|i  s|sxkmlXb?ª.©ƒŒkmbi ^'¬!^hjgx^k¤bnhjb‹km]±hyrX^

sx^ ¦K ^$bi ^yq‡¬!^Ni•hjbC^•hjs|k¤š¢¡Ÿ]hydxip[Ÿ^ hjip[°i lXg|b^ gœ=gxlj]›lXb^Nkm]hjrX^5dflnhjbljdx[^ g' sxkmbr

h‹sxkm]„vš¤^i ljgxgx^$šEh&dfkmlXb lX„I^$gfhydxlXgŠyˆq‡Šj_"hjbvt°i lXbs|k¤tv^ g5lXbš¢¡ df[v^i lXg|b^ g|s³dfgfhyiY-j^ t

t gxkmbr­df[v^"¬"[vlXš¤^1sx^$¦K ^ bi$^j©3Z[kms ¬"kmšmšu„gxlL£7k¤tv^ s  s{¬"kmdx[Nh­šmli hjš^ s~dfkm]hydfkmlXbljœIdx[^

gx^$dxk¤bhjš¨]5ljdxk¤lXb>hjbt>df[v^ ?h&dfb^$sxs µljœ dx[^­i lXg|gx^$šEhydxk¤ljbNœ= bi.dfkmlXbhjgxlj bt>df[v^ƒ]hydfip[

hjš¤šmlL¬"s)dfl5[uh•£X^'hjb^$s|dxk¤]hydxk¤lXbTljœk¢dfs bi$^ g~dphjkmbedc¡Xq:hjs)œ=lXg)s~df^$gx^ l&ocsxi$lX„kmi„I^$gxi ^$„vdfkmlXb

V©

!

8 8 “ (

“ z 8 > “

h> — > #“•–v“

h> , x ^.d" s ®

¯

µ^$dx^ i.dµi$lXgxb^$gxs1k¤bTdf[^km]hjrX^hjbtdfgfhyiY->df[^$] œ=gxlX] ljb^­œ=gfhj]5^dfl±hjbljdx[^ g$©

Z[^µi$lXgxbv^ g t^$dx^ i$dxk¤ljb>]5lt vš¤^€[uhjs I^$^ b> „vrXgfhjtv^ thjbvtNblL¬P s|^ s!:ljdx[Nsx„h&o

dfk¤hjšYq!kmbKdx^ bs|kmdc¡jq1hjbt kmbedf^$bsxk¢dc¡ rjgfhjtkm^ bedN„gxl•´k¤]5k¢dc¡ dflŸ]hydxip[ i$lXgxb^$gxs$© Zl

^ b[hjbi ^'œ= vdf vgx^'i lX]5„ vdfhydfkmlXbT¬!^'df[^$gx^$œ=ljgx^'i lXbs|k¤tv^ gµljbšm¡dx[^i$lXgxbv^ gxs1sx vi.o

i ^$sxs|œ= vš¤š¢¡]hydfip[^$tnt vgxkmbrdx[^­¬"[lXšm^sx^ ¦K ^$bi ^y©

¯

!lX]5„ vdx^'„hjgfhj]5^.df^ g|k¤²$^ tQ]lydfkmlXbQ]5l7t^ šms1hjsœ=lXšmš¤lL¬"s®

ŽX© X &+&* & u© ™ ^Ti•hyb i ljbsxkmt^ g>hjš¤šdx[^n„:lXkmbKdxsNhybt šmll- œ=lXg

df[v^›ž °]hydfg|k¢´n¬"[kmip[Ÿ]5k¤bvk¤]5km² ^ sdf[v^ kmgh•£j^ gfhyrX^5tk¤s|„uhjg|kmdc¡j© # ¡¥tlXkmbr

sxl5¬-^'tvlbvljd"^ s~dfkm]±h&df^h5i$lXšmš¤kmb^•h&dfkmlXbQi$lXgxg|^ s|„IlXbvtk¤bvrdxl±hg|^•hjš+„všEhjbhjg

s|dxgx i.df g|^) vd‡hjb³km]hjrX^3dfgfhybs|œ=lXg|]hydfkmlXb¬"[kmip[]5k¤bvk¤]5km² ^ s‡dx[^!g|^ s|k¤t hjš

tkmsx„uhygxk¢dc¡I^.dc¬!^$^ bndc¬-l±i$lXbs|^ i  dfk¢£X^km]hjrX^$s ©

Š©% I 0 H& u© ™ ^gfhjbtvlX]5šm¡Ÿsx^ šm^ i.dsx s|^$dxslyœ€„:lXkmbedfs

hjbt ip[vllXs|^‹df[^ ž ]hydxgxk´ ¬"[kmip[ i•hjbi$^ šm^ t hyd]5lXs~d•q"df[^¥g|^ s|k¤t hjš

tkmsx„uhygxk¢dc¡ œ=lXgNdf[vlXsx^F„:lXk¤bedxs © ugxlj] df[vk¤s^$s|dfkm]hydfkmlXbP¬!^Fs|^ rX]5^ bednhjšmš

„:lXk¤bedxsµkmbndc¬!lNi š¤hjsxs|^ sµ¬"[^.df[^$g€dx[^ kmgµg|^$dfkmbuhjš]5ljdfkmlXbQk¤s€i lX]5„uhydxk¤vš¤^lXg

bljd¬"kmdx[ dx[^qž ]hydfg|k¢´ §Ylj vdfšmk¤^$gxsg|^~}~^ i.dfkmlXb?ª©

]5lXbr hjšmš-dfg|kEhyš¤s¬-^

sx^$š¤^$i$ddx[^>:^ s|d³lXb^jq{kY©^j©ndx[^Ndfg|kEhyš ¬"[kmip[ s|dfhydfkms|dxk¤i hjš!šmk-y^ [l7l7t°k¤sdx[^

[kmrX[^$s|d•©

"^ „:^•hydxk¤br"df[vk¤s#sx^.£X^$gfhjšedfkm]5^ shjšmš¤lL¬"s# s dfl"kmt^ bedfk¢œ¡­df[v^ tvk}I^ g|^ bed,„všEhjbhjg

s|dxgx i.df g|^ s1ljœdf[^sxi$^ b^y©

_v©% X & ) & H& u©,a œs|lX]5^„IlXkmbedfs"hjg|^­hyd)dx[^­[lXg|k¤²$lXb+qljb^

ljœ+dx[^ s|^ c„šEhybuhjg )tkmsx„š¤hji ^$]5^ bedfsi$lXgxg|^ sx„:lXbt±dfldf[^€gxljdfhydfkmlXbuhjšu„hjg|d ljœ

df[v^]lydfkmlXb‹kY©^y©'dx[^³„š¤hjbuhjgµtk¤s|„š¤hji ^$]^$bedlyœ dx[^³[ljgxkm² lXb¥ljœ „š¤hjb^³hyd

kmbv·ubk¢dc¡Ÿ§YkY©^y© ž ž ¨ª.©ug|lX] §~Ž ˆKª!¬!^i•hjbTt^ i$k¤tv^k¢œ{ljdf[v^ gxs1„:lXk¤bedxsµhjg|^

:^ [kmbtnljg1kmbQœ=g|lXbed1ljœ{h5rXk¢£X^ bn„šEhyb^j©-acbt^ ^$t+q:blN„:lXkmbKdxs1hjgx^ :^ [kmbt

df[v^[lXg|k¤²$lXb+©Z[^$gx^.œ=lXgx^yqIi hjbtkmtuhydx^ s€œ=ljg€[ljgxkm² lXbQ„šEhyb^ sµhjgx^df[ljsx^œ=lXg

¬"[kmip[Nbl„:lXkmbKdxs hjgx^":^ [kmbt5df[^$]TqKkY©^y©±kmb‹§ Ž•ˆKª[hjs hjšm¬!h•¡7s dx[^"sfhj]5^

sxkmrXb+q¬"[vk¤ip[Qi•hjbTI^s~dphydxk¤s~dfkmi•hjšmšm¡dx^ s~df^ t¨©

ttk¢dfkmlXbuhyš¤š¢¡Xq,œ=ljg'bhydf gxhjš3sxi$^ b^$s¬!^Ni•hjbŸhjsxs| ]5^±df[hyd„:lXkmbedfs³h&d'dx[^

[lXg|k¤²$lXbQhjgx^­kmbTdx[^ „„:^ g"„uhjg~d1ljœdx[^k¤]hjrj^­^$dfiy©¤©m©

ˆ©%&d & &* & Z[vk¤s³kmbk¢dfk¤hjš ^ s|dxk¤]hydx^Nljœ ž  sx^$t hjshjb kmbkmdxkEhyš

£yhjšm ^¥k¤b dx[^‹·ugxs~dlXgxtv^ g]5ljdfkmlXb ^$¦7 hydfkmlXb hjš¤šmlL¬"s>dfl ^ s~dfkm]hydf^‹¬"k¢df[

hjb k¢df^$gfhydxkm£j^‹hjšmrXlXg|kmdx[] ’ q!df[^$b µq-dx[^ b ’ž©¤©m© ™ ^n[vlX„I^Tdf[kms>hyš¤rXl&o

gxk¢df[v] dflTi lXbe£j^ gxrj^NhjbvtCrXk¢£X^ s­df[v^g|^•hjš¢ž ]±h&dfgxk´Iq#lXg­]5lXgx^5^.´vhji.dfš¢¡

ž %Ÿž ’¥¬"k¢df[hrXkm£j^ b3©{Zli lX]5„ vdx^’F¬!^µ sx^µdx[^€·gxs|d)lXgxt^$g

]5ljdfkmlXbT^ ¦K uhydxk¤ljb §,s|^ ^

bb^´

ª.®

8’! .B

- 5

8/’ ! B -

ž2 %uK

Œl k¢œ¬-^Ci hjšmš

œ

4% 8 a 5 a B !a '¬-^F[uh•£X^Fdfl ]5k¤bvk¤]5km² ^ %

, - œ @ % , - œ œ - ,?©

™

^dx[^ g|^$œ=lXg|^[hL£j^Nhb^.¬ ¬)h•¡¥dxlTi$lX]³o

„ vdx^ ’ q"hjsNdf[v^¥ bk¢dphjg~¡ ^$k¤rX^$b £X^$i$dfljghjsxs|li$kEhydx^ t ¬"k¢df[ df[v^‹sx]hjšmš¤^$s|d

^ kmrX^$bT£yhjšm ^ljœdf[kms€¦K uhytgfhydxk¤i­œ=lXg|]©

©%? O s( H& 1ƒbi$^ndf[^ ž ]hydfg|k¢´ hjbt ’ £j^ i$dxlXg>[uhys>I^$^ b

i lj]„v vdf^$t+q¬-^5i•hjbFœ=gxlj]§~Ž ˆKª€i lj]„v vdf^df[v^tv^ „vdx[ ŽO5 œ=ljg­^•hjip[ i lXg o

b^$g

>

D

%



> p



‘



w

!4o;jhi 8=8a 5

ž B

8GL’ B B.©

s"¬!^'[uhjt ž

kmbs|dx^•hjtFljœ*µq¨¬-^lXvdfhjk¤b

>

D

?

% >

D

#kmbs|dx^•hjtFljœ

>

D

©'Z[^ „h&o

gfhy]^.df^$gi•hjb:^µ·v´^ tTe¡Ndf[v^­ sx^$g"dxllXvdfhjk¤b>dx[^­]5lXgx^­g|^•hjšmkms|dfkmi­t^$„vdf[

]hj„+©

a œ,¡jlX Tš¤l7l -NhjiY-hyd"^ ¦K uh&dfkmlXb §=ˆKª-¡Xlj Q¬"kmš¤š s|^ ^­df[uh&d1¬-^[uh•£X^

% & 1(

* ,%

- H

¬"k¢df[

% ./0 \ @ + @; + ; , ; + ;

+ ; , ; \ @ , @

; , ;

+ ; , ; U H I

K % a ; a -; \ @ &:I:

‡

d;d - (

%W\ &:I: - d;d - “a

; — -

R%

.//0 

K + ; 5 

+ ;

K

… Q‡

, ; 5 

, ;

K K K

HJI

I

K

%R&a ; — - (

\\ & 5 a ; — - (

Z[kms3k¤s{df[v^rX^ b^$gfhjšvi•hjs|^"dx[uhyd3i hjbd3I^s|lXšm£j^ t+q7 vd{¬-^"i•hjb5s~df tv¡³sxlX]5^

i•hysx^ s)¬"[v^ gx^µkmd!k¤s)„:lXs|sxkmš¤^€dfl³^´dxgfhji.dlXg dfldxgfhjiY-5df[v^ƒi•hj]5^$gfhkmbedfgxkmbs|k¤i

„uhjgxhj]5^$dx^ gxs$© ™ ^"¬"kmš¤š:]h-j^1df[^"œ=lXšmš¤lL¬"kmbr[e¡7„Ilydf[^$sxkmsƒ®

% \ i@# ="%

@ © ™ ^"blL¬ [hL£j^€ljbšm¡df[g|^ ^"„uhjgxhj]5^$df^$gxs{dfli$lX]5„ vdf^yqkmb5df[^œ=lXšmš¤lL¬"kmbr

i•hysx^ s'®

§Yheª k¢´^ tQhjbt -KblL¬"bn„vgxkmbi km„uhjš#„:lXk¤bed ® + ;

<-,

;

§=?ªTz{ g|^gxljdfhydfkmlXb+quhybt + ;

<-,

;

<e\‹·´v^$t+® ž % Ž.&(

* H 3

§Yi•ªTz{ g|^Zgxhjbsxš¤hydxk¤lXb¨® ž %  “’ H 3

§=t?ªTz{ g|^'1ljdfhydfkmlXbThjbt + ;

<-,

; < \n£yhjg|kEhjvš¤^y© ž %W Ž &4(

* H 3

§Y^•ª5­^ bv^ gfhyš+]5l £j^ ]5^ bed q:·v´^$tn„uhjgxhj]5^$dx^ gxs$® ž % Ž.&(

*

“’ H 3

Z[^i hjsx^_nkms5hQ¬-^ šmš¢oX-KblL¬"b i hjsx^>¬"[^$gx^>¬-^i•hjb di$lX]5„ vdx^>df[^>„h&o

gfhy]^.df^$gxs vd5¬!^i hjb i hjb i lX]5„ vdx^Tdx[^ kmg£yhjgxk¤hydfkmlXb+© Œ7l k¢œµ¬-^T[uh•£X^

hjbkmbkmdxkEhyš+^ s~dfkm]±h&dfkmlXbljœ#df[^$sx^„uhjgxhj]5^$df^$gxs¬-^'i hjbdfgxhjiY-±dx[^ ] tv gxkmbr

df[v^¬"[ljš¤^±sx^ ¦K ^$bi ^y©QZ[v^Ni•hysx^ŠkmshTs|¡7s|dx^ ] ¬"[^ g|^±df[v^±bK ]I^$gljœ

^ ¦K uh&dfkmlXbs1k¤sdf[v^'sxhj]5^hys"dx[^bK ]:^ g1ljœ b -KblL¬"bQ£yhjg|kEhjvš¤^sxlk¢d€i hjb

:^sxlXš¢£X^$tTqei$lXbs|k¤t^$gxkmbrsxlX]5^s|š¤kmrX[ed{£yhjgxk¤hjšm^)sx vs|dxkmdx vdfkmlXb+qKe¡hƒ]hj„šm^

„g|lXrXgfhy]T©

'. ±­$ ­ #"T# $ "

a d"k¤s¬-^ šmš¢oX-7bvl ¬"bQdf[uhyd¬-^'[uh•£X^dc¬!l5¬)h•¡7s1ljœ,i$lXbs|k¤t^$gxkmbr±dx[^„gxljš¤^$]®

ŽX©"^ k¢df[^$g" sx^'h5sx„uhjg|sx^]5^$dx[ltTkmbT¬"[kmip[+®

¯

¬-^>t^$dx^ i.d i$lXgxbv^ gxs pq‡kY©^j©„Iljk¤bedfs'¬"kmdx[°[kmrX[Ÿi$ g|£yhydx gx^yq{hyd'¬"[k¤ip[ dx[^

]5ljdfkmlXb·u^ šmtTk¤s"t^.·ub^ tQk¤bdc¬-l±tkmgx^$i$dxk¤lXbvs q

¯

¬-^5dxgfhjiY-Tdf[^$sx^i$lXgxb^$gxs$© sƒdc¬-li lXbvsx^ i$ vdfk¢£X^km]±hyrX^ shjg|^sxkm]5k¤š¤hjg q+¬-^

[uh•£X^µrXll7tip[uhjbi$^ s!dxl]hydfip[N^•hjip[>i$lXgxbv^ g3œ=gxlX]…lXbv^µkm]±hyrX^1dxl³hjbvljdf[^$g

 s|k¤br5œ=lXgkmbs|dfhjbi$^hi ljgxgx^$šEh&dfkmlXbQlj„I^$gfhydxlXgxs$q

¯

¬-^ƒk¤]5„šm^ ]5^$bKddx[^µtvk}I^ g|^ bed^ ¦K uh&dfkmlXbs)g|^$£7k¤^.¬!^$tQ:^$œ=ljgx^1lXbš¢¡NlXb±df[^$sx^

i ljgxb^$gxs ©¶Z[k¤s]5^•hybsdf[uhydNdf[^Fs|dfhjkmš¤km²•h&dfkmlXb hjbtP„š¤hjbuhjgs~dfgx vi$df vgx^

t^.df^ i.dfkmlXbN¬"kmš¤š?:^€hjsx^$tNlXbš¢¡5lXb±tuhydphlXvdfhjkmb^ t±lXbdx[^ s|^µ„:lXkmbKdxs ©{Z[kms

kms"£yhjšmkmtQlXbvšm¡k¢œdf[^.¡i lXg|gx^ i.dfš¢¡ip[uhjgxhji$dx^ g|k¤²$^df[v^­k¤]hjrX^yq

Š©"lXghjtvth³kmd"]5lXg|^ƒ^ ¦K uh&dfkmlXbs1hjbt s|^­df[^ƒkmbvœ=lXg|]hydfkmlXbrXk¢£X^ blXb>dx[^ƒ¬"[lXšm^

k¤]hjrj^j© 1ƒK£7kmlX s|šm¡F¬"[uhyd¬-^5lXbš¢¡F[uh•£X^±hyd­·ugxs~dkms­df[^5kmbedf^ bvsxk¢dc¡C]hj„¨© ™ ^

df[K s³] s|d5tv^ gxk¢£X^hyb ^ ¦K uhydxk¤ljb°gx^ š¤hydxk¤br‹dx[^N£yhjg|kEhydxk¤ljb ljœdf[v^NkmbKdx^ bs|kmdc¡°hyd

^•hjip[T„:lXk¤bed"dfldx[^„IlXkmbed"]5ljdfkmlXbTk¤bdf[^g|^$dfkmbuhjš „všEhjbv^j©

’ ( – ! “ ; ’•—X– ! 8 @ 8 ’ 8 > “ > C– 3€^ g|^>¬!^i$lXbs|k¤t^$g^•hjip[ km]±hyrX^

„IlXkmbed ¨hybt±dxg|¡dfli lX]5„ df^µk¢dfs i ljgxgx^$sx„:lXbtkmbr³g|^$dxk¤buhyš:]5ljdxk¤ljb :¬"kmdx[>h'rXkm£j^ b

k¤bvœ=ljgx]hydfkmlXb ]hydxgxk´ p >

§=dx[^nkmbe£X^$gxsx^Fljœ'hCi lL£yhjgxk¤hjbi$^Lª±^.£X^ bedx uhjšmšm¡ ²$^ g|l kmœ­dx[^

gx^$dxk¤bhjš ]5ljdfkmlXbk¤s"blyd€tv^$·ub^$tnh&d1dx[kms1„:lXkmbed•©

™ ^5i lXbvsxkmt^ ghjb k¤]hjrX^s|^ ¦K ^$bi ^hys csx„uh&dfkmlyo dx^ ]5„Iljgfhjš£jlXšm ]5^¬"k¢df[lj vdhjbe¡

„uhjs~d.­hjbt cœ= vdx gx^"­ d1¬!hjbed1dfl5]h-j^­df[v^':^ s~dµlj vddf[^­¬"[ljš¤^tuhydfh³£XlXšm ]5^j©

k¤buhyš¤š¢¡5¬!^ƒkm]5„šm^ ]5^ bed1h] š¢dfkocsxi hjšm^hj„„g|lehjip[>kY©^y©{i lXbvsxkmt^ g)i$lX]5„ vdfhydfkmlXbs)kmb

š¤lL¬ gx^$sxlXšm vdxk¤lXbQk¤]hjrj^ s€·gxs|dƒhjbtTdf[^$b‹ sx^kmdµhjs€k¤bk¢dfk¤hjš £yhjšm ^ s1œ=lXgµh5·ub^$gµi lj]„v o

dphydxk¤lXbQhyd€h5[k¤rj[^ g1gx^$sxlXšm vdfkmlXb+© x l ¬-^ g€gx^$sxlXšm vdfkmlXbs€hjg|^ s|^ tQI^$i•hj s|^dx[^g|^ s|k¤t hjš

tk¤s|„uhjg|kmdc¡:^$dc¬-^ ^$bQdc¬-lœ=gxhj]5^ s1k¤s"kmbK£j^ g|sx^ š¢¡T„gxlj„IlXg~dfkmlXbuhjšIdfldf[^g|^ sxljš¤ vdxk¤ljb+©

š¤šdx[^ s|^ni•hyb :^Qs| ]5]±hygxkm² ^ t K¡ i$lXbsxkmt^$gxkmbrŸdf[v^T£j^ i$dxlXgxk¤hjš1k¤bvtk¤i$^ s !hjs±h

ˆyoctkm]5^ bs|k¤ljbuhjš+£X^$i$dxlXg®

! % 8 8+ <-,TB

r st u

ac]hjrX^ x li hydfkmlXb

< #

r2st#u

ac]hjrX^ € ]I^$g

< m

r2sxt2u

ac]hjrX^"^ s|lXšm vdfkmlXb

B

1Y[X OcMi[j1k eMnm]N]`bTb€iaZkZi a'a6w"]`bTg eMa6bvY

 ‘ –u’ 8 @ > 8 ” –v“ > ” UX> ” > “ h> — > #“•–v“ h> ,  s| uhjš1hjs|sx ]5„vdxk¤lXb œ=lXg

gx^$dxk¤bhjš¢o ]5ljdfkmlXb ^$s|dfkm]hydfkmlXb kmsdf[uh&dœ=gxlj] lXbv^Nœ=gfhj]5^dflFhjblydf[^$gdf[v^>k¤bedx^ bs|kmdc¡°kms

i lXbs~dphjbed ©{Z[k¤skms)¬"gxljbr³^.´i$^ „vd"œ=lXg-[k¤rj[šm¡Ni lXbedxgfhjs~df^ t„:lXkmbedfslXg œ=lXgx#hj]I^$g|dfk¤hjb

sx g~œYhji ^$sk¤b„ vgx^ƒg|ljdphydxk¤ljb «Š7ŽƒV©{acbljdf[^$g)sxk¢df hydfkmlXbs"hvkEhjs!k¤s)kmbedfg|lt vi ^ t¨q vd)dx[^

]±hyrXbk¢df t^ljœdf[vk¤s"k¤hjs"i•hjbT:^'^$s|dxk¤]hydx^ t+©

# lXgx^­„g|^ i$k¤s|^ š¢¡Xqu¬!^i hjbi lX]5„ vdx^ƒdf[^­g|^$dxk¤buhyš+]5ljdfkmlXb·u^ šmtœ=gxlX] df[^­kmbedf^$bsxk¢dc¡

t^ g|km£yhydxkm£j^ s1 sxkmbr5df[^gfh&df[^$g1^ i km^ bed•qu‚3^ g|gxkocZlXgxg|^­œ=lXgx] šEh ¢Ž ŠWV®

.0

HK

r st u

+,

r st u



‡

‡

r sxt u



% pK §~Ž•‰eª

¬"[^ g|^ kms"kEhys1^$s|dxk¤]hydx^ tnkmb«Š7Ž ©

Z[vk¤s5k¤hjs "kms -7bvl ¬"b dfl¥:^„g|lX„Iljg|dfkmlXbuhyš-dfl¥dx[^]hjrXbk¢df tv^ljœ"df[^km]±hyrX^

i lXbedfgxhjs|d­hjbt‹kmsxljdxgxlX„vk¤iŠŽ? ©ƒZ[vk¤sƒi hjb¥:^œ=lXg|]±hyš¤km² ^$t+q+ s|k¤bri$lL£jhygxk¤hjbi ^$s q hysµœ=lXšo

š¤lL¬"s ®

p >

D @ 3 §~Ž•eª

> “L–v“ h> > U “ z 8 > 8 ” –v“ > ”— >;T –” – — 8 !ljbsxkmt^ g|k¤bvrh±¦K uhjbedxkm·ui hydfkmlXb

blXkmsx^µlyœ'§=dc¡7„kmi•hjšmšm¡>Š'dxlˆœ=lXg &o Š­[^ kmrX[edk¢dfs-]ljblip[vgxlX]5^ƒkm]hjrX^ sfª.q7¬!^ƒi hjb

^•hjs|k¤š¢¡>b^$rXšm^ i$d"„:lXkmbedfs)¬"k¢df[¥®

1

@!

@

sxkmbi$^ƒdf[^.¡>tlblydi lXg|gx^$sx„:lXbtdfl³„:lXkmbedfs

¬"kmdx[Qs|  i km^ bedƒi$lXbedfgfhys|d#"L©

Z[v^­k¤bvœ=ljgx]hydfkmlXb]hydxgxk´i•hyb>df[^$bT:^­^•hysxkmšm¡Ni lX]5„ vdx^ t+qu v„>dfl³df[v^ƒ·ugxs~d"lXgxt^$g

œ=lXg„Iljk¤bedfs¬"k¢df[QhblXbo b^ rXšmkmrXk¤vš¤^kmbvœ=lXgx]hydxk¤ljb+qœ=gxlX] §~ŽL‰Xª)hjbtŸ§~ŽLeª®

p >

%

%$

@ - !\

@ /&)@

K !\

@(' @

§ Š eª

œ=lXgsxlX]5^ btv^$·ub^$tni$lXbs|dfhjbed

$ ©

s~df^$„œ= vg|df[v^ g q df[v^{i lL£yhjgxk¤hjbi$^{]±h&dfgxk´­kms ¬!^$š¤šoctv^$·ub^$t³hyd+„IlXkmbedfs+¬"[^$gx^y® f;i@#ƒ8 B6%

5

@ J%dKv©{Œ ip[>„:lXkmbKdxs!i$lXgxg|^ sx„:lXbtdfl i ljgxb^$gxs €hys-^´v„všEhjkmb^$tk¤b mŽXŽƒ

) NODa[ D 'b_^IVJ LX[S _^GHG(D[('_J ZO[LH_ N _&!_&%^DTJOD_P [G(D %^IV_^J [_c.L(NOD I!E"%^D NODTG(DE^[ 'b_^IVJ LX[#E IVLHN

J _J*RJOD %^UVI%IKWOUKD %^G(E^Z*IKDTJ L !E&%JOIVLHP ZODFS _G(G(D[('b_^J ZL(_ DaZ%Da[ OST_G(JODTGX[<_G7hPOJ S LHIK_J [_`c.LHNODQI!E"%D

§4f;i@#ƒ8& Bkms5tk¤g|^ i.dfš¢¡°gx^$šEhydx^ t°dfl¥i$lXgxbv^ gxs5lX„:^ gxhydfljgxspª•© 1µdx[^ g„:lXkmbKdxs¬!^$gx^ kms

ljœ gfhjb -ŸŽi$lXgxg|^ s|„IlXbvt dxlTg|^ rX všEhjg­^$trX^$shybtFs|dfkmšmš3hjš¤šmlL¬ dxli lX]5„ vdx^df[^5gx^.dfkmbuhjšo

]lydfkmlXb vd1lXbš¢¡kmbTdx[^rXgfhjtvk¤^$bKd1tkmgx^$i$dxk¤lXb¨©

8 “ ( – !@ ’ –” “ 94= “ z “ z 8 8 ”&” ;-%> h> > 8 ” –v“ > ” x#^.d3 s{blL¬ i lXbs|k¤tv^ g

h>gx^$dxk¤bhjš¢o ]5ljdfkmlXbF„uhjgxhj]5^$df^$gxkm² ^$tCe¡Fh s~dphjvk¤šmk¤² hydfkmlXbF]hydfg|k¢´ ž hjbvtCh œ=li$ sƒljœ

^.´„uhjbs|k¤ljb ’ hjstv^$·ub^$tnkmbTdx[^„gx^.£7k¤lX vs€s|^ i$dxk¤ljb+©

5­k¢£X^ bTsx vip[‹h5gx^$dxk¤bhjš¢o ]5ljdfkmlXb+qv¬-^'t^$·ubv^h ( &+& a 0H&+ ) & u®

)%

5 3 5 P

-

r st u

 ž U

’ § Š7Ž ª

actv^•hjšmšm¡k¢œdf[^]5ltv^ š kms1„:^ g~œ=^ i.d•q¬-^'i$lX šmtQ^´„I^$i$d ©3acbT„gfhji.dfkmi ^­df[vk¤s"bljddx[^

i•hjs|^hybtT¬-^] s~dµtv^$·ub^hs|dfhydfkms|dxk¤i hjš+œ= bi.dfkmlXbTœ=ljg)df[kms€¦K uhybKdxkmdc¡j©

­blL¬"kmbrdf[^i lL£yhjgxk¤hjbi$^ s­ljœ ^•hyip[ g|^$dxk¤buhyš,]5ljdfkmlXb+qI¬!^i hjbFt^$·ubv^ t¥df[^ cš¤k-j^o

[ll7t ³ljœ!dx[^±s~dphjvk¤šmk¤²$^ t°g|^$dfkmbuhjš{]5ljdxk¤ljb+q,kY©^y©Ndf[v^ # hy[uhjš¤hjblXkms'tk¤s~dphjbvi ^N¢Ž V©Nacb

lX gi•hjs|^jqk¤bedxgxl7t i kmbrQgxlX vs|d's|dfhydfkms|dxk¤i$s4¢Ž•ˆVq¬-^i lXbs|k¤tv^ ghTs~dphydxk¤s~dfkmi•hjš‡œ= bvi$dfkmlXb

86Bƒ¬"[vk¤ip[Ck¤shT]5lXbvljdflXbvk¤iœ= bi.dfkmlXbŸlyœ kmœ-df[^tuhydfhT„:lXkmbKd'kms„šEhy sxkmšm^>hjbt^K

œ=lXglX vdxš¤km^ g|s ®

8 B6%

8 - p >

B § ŠjŠXª

!ljbsxkmt^ g|k¤bvr¥§~Ž•‰eª)hjbtŸ§ ŠXª ¬!^'^•hysxkmšm¡t^$gxk¢£X^y®

8 B6%

$ @

5 ž U

’

1

@

§ Šy_eª

8 #“

z U ” > > “ h> , 5k¢£X^$b°hjb hT„gxkmlXg|k ^$s|dxk¤]hydxk¤lXbŸljœ ž hjbvt ’ qdx[^±lj„vdfko

]±hyš ^$s|dxk¤]hydxk¤lXb°lyœ)df[^±t^ „df[°hyd^•hyip[°„IlXkmbed³kms^ hjsxkmšm¡ClXvdfhjkmb^ tC]kmbkm]5k¤²$k¤br‹dx[^

œ=lXš¤šmlL¬"k¤bvr±i$gxk¢df^ g|k¤ljb+®

8 B § Š&ˆKª

¬"[^ g|^ kms€g|^ rX š¤hjg|k¤² hydfkmlXbdf^$gx] hjbvtT¬"[kmip[nšm^•hytsdfl®

$

1 1

@ 8 B

1

’ @ U

5 & ’ (- & +(

>

D

%dK § ŠXª

_^GHJODG([ EGHD 'OG(DS I[HDTU)LHNOD '_IKJ^LX[ DGHD#LHN DQGHDTLHIKJ E`UVR !_LHIK_JMSE`JMWbDFST_&! 'OP*L(DZMIVJML _Z*IKG(DS R

¬!^$š¤šoct^.·ub^$t¥^.´i ^$„vdƒ^$kmdx[^ g³§YkEª"k¢œ‡df[v^rXgxhjtkm^ bedƒ]hjrjbkmdx t^£yhjbkmsx[^$s q¨ljg³§=k¤kEª"k¢œ,dx[^

gx^$dxk¤bhjšvšmli hydfkmlXb³i$lXgxg|^ s|„IlXbvts‡dflµœ=l7i  vs‡ljœ?^.´„uhybsxkmlXb5lXg"§=k¤kEªk¢œ?df[^)„vgxly}~^$i$dfkmlXbljœudx[^

dfgfhybsxš¤hydfkmlXbkmb>df[^tkmgx^$i$dfkmlXbljœ#df[v^'lj„vdfkmi•hjšIgfh•¡kms"hjšmk¤rXbv^ t¬"kmdx[^ trX^lXg|k¤^$bedphydxk¤lXb¨©

1Y a e€i aZjr]`cfeMiJ g eMi a j gZc g t a6bMbM] g eMi[aZjra6w"]`bTgoeTa6b)Y

> “ h> 8 ’$“ Ÿ–“ > , 5k¢£X^$bBdf[^ „g|^$£7k¤lj sn^$s|dfkm]hydfkmlXb ljœ >

D

q­kmb 86B.q kms

hC¦K uhjtgxhydfkminœ= bvi$dfkmlXb lyœƒdf[^Q]5ljdfkmlXb „uhygfhj]5^$dx^ g|s ’hjbtWž hjbvt k¤sdf[K s>^ hjsxkmš¢¡

]kmbkm]5k¤²$^ tn vsxkmbrNh5rXšmlXuhjš¨i gxk¢df^$gxkmlXb+®

E%

8 B § Š ª

¬"[v^ gx^ kms3h­dx^ g|]¶ljœ:gx^$rX š¤hjgxkm²•h&dfkmlXbhjbt t^ „:^ btvs ljb5dx[^ip[lXs|^ bs|dfhydfkms|dxk¤i hjš

]^.df[l7t+®{œ=lXgšm^•hjs~d|o sx¦K uhjg|^ s"df[kms€kms‡}~ s|d€hsx v]Tquœ=lXgšm^•hys|d|o ]5^ tk¤hjbTsx¦K uhjg|^ sµk¢d"kms"dx[^

]^$tk¤hjb mŽ ˆVq"¬"[vk¤šm^‹kmb Ilydf[ i hjsx^$s>df[^Q]ljbljdfljbk¤iTœ= bi.dfkmlXb gx^$šEhydx^ t dxl 8 6Bkms

df[^¥kmt^ bedxkmdc¡j© 1ƒb df[^¥i$lXbedfgfhyg|¡Xq1œ=lXg # o ^ s~dfkm]±h&dflXg|s qkmss|dxk¤šmš­h°sx v]Tq€ vd>dx[^

]ljbljdfljbk¤iœ= bi.dfkmlXb‹g|^ š¤hydf^$tQdfl

86B"kms1ip[lXsx^$b¥tk}¨^$gx^ bedxšm¡mŽ ˆ© 1µdx[^ g1]5^$df[vlts$q

sx ip[ hysN© ©'©Œ:© ©µ©s«Š q)i hjb hjšmsxlCI^Tgx^$„gx^$sx^$bKdx^ t dx[uhyd¬)h•¡X© Œ^$^.¢ŽW "œ=lXgh

gx^$£7km^$¬ lyœdx[^ s|^]5^$dx[l7ts"k¤bTlX gtlj]±hyk¤b+©

(

¥ "5' "#T

Y[X w ] ] jZeTg e€i aZj a6_eMn1]dg k6a6b€i e€n Y

ŽX© ¨“ 8

¯ ™ ^µi ljbsxkmt^ g)hjbNl}?ocšmkmb^ƒhj„v„š¤kmi•h&dfkmlXb±¬"[^$gx^µdx[^µkm]hjrX^€sx^ ¦K ^$bi ^$s"[uh•£X^

:^ ^ bCsfh•£X^$t ¬"kmdx[ hblXg|]±hyš¤km² ^$tŸ·ušm^±buhy]^T®dfljdxl©´I©„rX]›lXg­dxljdfl©´I©rjkmœ

¬"k¢df[Ÿ´ hQdc¬!l¥tvk¤rXk¢dfsk¤bedf^$rX^ g$©‹Z[^hyš¤rXljgxk¢df[]›¬-^[uh•£X^>km]5„š¤^$]5^ bedf^$t

]hjbuhjrj^ s3df[^œ=lXg|]±h&d3ljœ+buhy]^$s!hybt±„:^ g~œ=lXgx]df[^"œ=lXg|]±h&d3i lXbe£X^$gxs|k¤lXb±dfl

„rX]kmœb^ ^$t^ t¨©

¯

Z[^$bT¬-^i$gx^ hydf^hjbQhjg|gfh•¡>ljœi$lXgxb^$gxs1]hydfip[^$tTœ=g|lX]ljb^ƒœ=gfhj]5^­dfl5hybo

ljdx[^ g$© Z[vk¤s"^ bhjšm^ s1 sdfl^$£yhjšm uhydf^­dx[^­£X^ šml7i k¢dfkm^ s1ljœ‡hrXk¢£X^$bni$lXgxb^$g ©

¯

ugxlX] df[kms5tuhydphq-¬-^Qg| b hF]5k¤bvk¤]5km²•hydxk¤lXb hjšmrXlXgxk¢df[v] gx^ hjš¤km² ^$t dxlCt^o

df^$gx]5kmb^dx[^ df[uhyd']5kmbk¤]5km² ^$sdf[v^±tkmsx„hjgxk¢dc¡ I^.dc¬!^$^ b ^ hjip[Ÿ„uhyk¤gljœ

i ljbsx^$i  vdxkm£j^³œ=gfhj]5^ s$©m?g|lX]dx[k¤s€s|dfhjkmš¤km²•hydxk¤ljb‹„uhjgxhj]5^$df^$gxs$qI¬-^i•hybngx^o

kmbKdx^ g|„IlXš¤hydx^€^ hjip[>km]±hyrX^jqKdfl'i•hjbvi ^ š?df[v^€tkmsx„hjgxk¢dc¡]l7t^$š¤km² ^$t>e¡dx[^

]hydfg|k¢´I©Z[k¤s­g|^ i.dfk¢·ui•hydxk¤ljbC„g|li$^ s|s­lX vdf„v vdfsh>s|^ ¦K ^ bvi ^ljœ s|dphyk¤šmkm² ^ t

km]±hyrX^ s"sfh•£j^ tndxl±h•£jlXk¤tTgx^$„I^ hydfkmbr5df[kms"i lX]5„ dphydxk¤lXbœ=lXg^ hjip[‹hji.dfkmlXb+©

y z 8

–v“

h>

”

>

‘!

8 ˜

™ ^i lXbvsxkmt^ gNhFs|^$d±ljœƒi$lX „šm^ s 8$+ S<-, B³^$dN8 + S< , B³i lXg|gx^ s|„IljbtkmbrCdxlFdx[^

i lXg|b^ g|sdfgfhyiY-j^ tnt gxkmbr5df[^­¬"[ljš¤^sx^$¦K ^ bi$^j©

s1¬-^'hjgx^­dxg|¡7k¤bvrdxlNhj„v„gxl•´Ko

k¤]hydx^µdf[v^hL£j^ gxhjrX^­rXšmlXuhjšI]5ljdfkmlXbljœ#df[v^ƒk¤]hjrj^­K¡>h³„š¤hjbuhjg)]5ljdxk¤ljb+q¬-^­·d

df[^^$¦7 hydfkmlXbTljœ‡h„š¤hjbuhyg1tvk¤s|„šEhyi ^ ]5^$bKd qkY©^j©m®

+%'8 ;;

5

@@

BJ+ ;=>

; @

5 @ ;

+ @ 5 @ >

+ ,

,2% > ;

+ L8 >>

5

@@

BJ, >S@

5 @ ;

+ , 5 @ >

, @ § ŠXª

1ƒ ghjkm] kms³dfl‹dxg|¡Ÿdxl‹·ubt h‹]hydfg|k¢´ µq,df[hyd]5k¤bvk¤]5km² ^ s5df[v^š¤^ hjs|d~ocsx¦K uhygx^

h•£X^ gxhjrX^gx^.dfkmbuhjš+£j^ šmli$kmdc¡]hjrXbvkmdx t^^ g|gxlXgœ=lXg)dx[k¤s"]5l7t^ šY®

a !Qj

!

"#$

%

& '()

*()

"#

+(

"!

, "#$

-/.10243$576$895;:;0/0=<0=255;.?>@2A0B.1CEDE5;895;CEDE57CF0G:7<IHJ8&<ICE57CF06K<@L0=25#MGNOMJHPQ0=3.SRUT

V

3$57HJ57H#W95;3

YX[ZI\^]

35^-/3._00=5;C`P@6GP@Ca5;.?>I2F0GDE.?HJ5;CE6.1<ICab@57:;0<I3BR

]

P@CED4-c5

:dP@Ce-/3$.10502E5H.1CE.1HJ.?f7Pg0=.1<ICU8E3<IWh?5;HiP@6j

aek(lnmAo

qp

sr "tu

$v

-/.102 w X m x Z Z Z

Z Z Z x v

0 X

y

z

1

.1CE:75B0=2E5 :;3._0=5;3.1<IC .163254P@DE3Pg0=.1:

]

.1066<@h640.?<@C .?6c>I._bI57CeW870=2E5KCE<I3$HPgh95924EP#:

0=.1<IC<;>=@?

w z w r X w z t

P@CED 02E5 TO2<Ih?5;6BA87ePgh?>I<@3._0=2EH 6<@h1b@576O02E5 5C254PQ0=.1<IC .1C <D4E3c:dP@6$5 6.1CE:75 p z p

.16

DE59EECE.105BP@CED89<I6$.10.1b@5?GFB5735/-c5/-/3$.105

XIH

z H

-/._0=2KJ0=3$.sPgCE>D4Eh?P@3 .?CL 573.1<I39?

L

CED -c502E57CU<ICEhM7e2Pdb@50<6$<Ih_bI50=2E5 0-c<03.?P@CE>D4Eh?P@3/6!7 6 0=57HJ6 N H

zPO X t

H r X O ?

?

RQ@STVU

J [email protected]?.1fdPQ0=.1<ICJ8E3< :75;66 h?P4ECE:u2E5;6 P 657:;<ICEDJ3<40=.1CE5-/2E.1:u2J:7<IHJ8W40576

P:7573 [email protected] W&573B<@L DEPg0uPej

X -c5#.1CF0=3< DW4E:;5 0=2E5 bgP@h4E5<@L

Y

.?C 0=2E5 LZ4ECDP@HJ57CF0uPghHJ<@0.?<@CU59254Pg0=.1<IC[?

]\

a

z

a X

^\

a

z Y

a V

_

\

J 2E.16 5C254Pg0.?<@Ce.?6<@[email protected];DeW57H`4h10.?8EhM7 .?C>

V>a

\

W87

\ a z

0=<)>I5^0 3.1D

<@L&b`[email protected][email protected] [email protected].?CE57P@3 .1C b<?dc'2EPg0-c5 2E<I8&5 .160=2Pg0c0=2E.16

.1CE.10.sPghAbgP@h4E5c>I.1b@57C)W87#P@C P b@573P@>I5O8hsP@C5OHJ<@0=.1<IC-/.?h1hAh?57P@De4E60=</0=2E5c35dPgh

T HPQ0=3.SR<?`f<I3B0=2PQ0 -O5:;<IHJ8W405J-/._0=2 P h15dPg6$06B254Pg35JP@h1>I<I3$.102EH 02E5

bgP@h4E5/<@L b ]

P@CEDJ0=2E5;C PCE5^- bgP@h645B<gL T ]

5;0:??6?gJ <#:7<IHJ8W40=5 h -O5i4E6$5/02E5

E3$6$0 <I3D573 HJ<@0=.1<ICJ5C254Pg0.?<@CW&57h1< - 6<._L9-c5K:7P@h1hkj

X

a a

8\

a

lZmonipqsrtuq-v!wxzyew{wyewM|qsv!wM}D{

~K€ƒ‚ „i…e†€ˆ‡Š‰/‚ „ …‹†BŒ/‰6‚Ž„ …‹†BŒ

„‚  ‚ „ …‹‘†ˆ5‚ „3’“†ƒ†

”[•s–˜—-–!™›šœužuŸ›šœ–dš¡ [Ÿ›•#–¢™+–ˆ£M¤™+–3¥

~¦D§‘u„  ‚  ‚¨…‹‘†  ‚

ž^|#—“Ÿ›•s–^™+–! ›©sª«Ÿ ¤¬£­Ÿ›•s–z®3š|sš®š«¯BžuŸ›š¤^|±°s™+¤²#ª«–!®³š¡ Ÿ›•s–^°¤š|CŸ+ ´•#–¢™+– ~ ¦

¶µ  >¤eŸ+•s–^œ–B·ƒŸ+¤™¸

 ›¤ª©-Ÿ+š«¤;|Ž¤£<¥

‚ 

‚Ž„Ž¹‚

 †

”[•#š [ª¡ž >Ÿ°s™+¤²sª–¢®ºš¡  ›¤ªœ–!—i´šgŸ+•»ž ¼<•s¤ª–! ›½@¾ ž¬ª¿¤™+š«Ÿ›•s®¨£M¤9™š| ZŸÀžq|#·¢–Á

k›).k 5"‹>)ƒ)K@ o u"u").5 )>B o "> ¬ >)

-c5)2PdbI5 0< HJ.?C.?HJ.1f75

X

j

X

j j

?ic 5 0=25735¬:

L<I3$5`2PdbI5nPCE5;- -P@7 0<:7<IHJ8W405Šh

]

P@6 02E5 4ECE._0uP@3¢7 57.1>I5;Cb@57:;0<I3

P@6$6< :7.?Pg0=5;Da-/.102a0=25 6HP@h1h1576$0 57.1>I57CabgP@h4E5#<@L 0=2.?6Ž24EP@DE3=PQ0=.1: L <I3H§?! C

0=25a:dPgh?:94EhsPQ0=.1<IC <@LT -O54E65;D P C5;- P@D#"¢46$0=HJ5;CA0 HJ5;0=2<D

]

.>?5? .1C:

6$05dP@Da<@L :;<IHJ8W40=.1CE> Ph15dP@6 0G6!24EP@35#H5^0=2E< D <IC 0=25 57.1>I2F0K8P@3=PgH5^0=5;36

<@L 0=2E5#T HPg03.SR

]

-c5#2EP b@5 HP@CPg>I57D 0=<5^R8E3$5766B0=2E.16BHPQ0=3.SR -/._0=2EbI5

8P@3P@HJ5;05736.1C 02E5P@:;0B4P@h 5924EPg0=.1<IC

]

P@CED`0=2.?62P@68E3$< b.1DE5;D PeW95^00573

:7<@CAb@573$>I57CE:;5<@L 0=25)P@h1>I<I3$.102EH

;ƒ;

?ŽJ< 6 0o4ED7U0=25#bgP@h1.?DE._0ƒ74<@L 0=25 35;6B4Eh_0

P@CED0=2E5U:7<ICFb@573>@57CE:;5`<@L 0=25aP@h1>I<I3$.102EH

]

-O54:dP@C:7<IHJ8W40=5a02E54h15dPg6$0

6B254Pg357D Pdb@573=Pg>I5 573$3<I39?­c 5K-/.1h?h&65;5G0=2E5K35;6B4Eh_0=6.1C 02E5B5;6B4Eh_0=6G8EP@3$0C?

l+l

–Gž¬™+–dš|(Ÿ›•#–d·!ž ›–d¤¬£Ÿ›•s–d£M© |—sž¬®– |CŸÀž¬ª8®¤¬Ÿ+š«¤;|Ž–9©žuŸ›š¤^|`¥

‰

Œ«‰

Œ¹µ

”[•#š ·!žq|(²–˜™+–¢´™+šgŸ›Ÿ›–$|`¥



 !

´•#–¢™+–#" ! š¡ [Ÿ+•s–˜–¢œ9– |(°#ž¬™›Ÿ¤¬£®ž¬Ÿ›™+šg¸ŽÄ Á#”[•sš¡ ™+–¢ª¡žuŸ›š¤^|(·¢ž^|(²–˜™+–¢œ–!™+ ›–!—ižq|#—(´R–­¤9²-Ÿ+žš|`¥

Š … $&% ' ’(  s’*)  ’+ '

,#¤™¤9©s™šgŸ+–¢™ÀžuŸ+š«œ9–džª«¿9¤™+šgŸ+•s®.--´<–˜ ›–¢–­Ÿ›•žuŸ´R–˜·¢žq|(–ˆ¸-°s™+–! + ¼§š|^ž3²#ž ›–˜´š«Ÿ›•]œŽž9 ž ²ž ›–­œ9–!·ˆŸ›¤™

´š«Ÿ›•#¤©-Ÿª¤@¤9 ›š|s¿žq|@¾ š|-£M¤9™›®žuŸ+š«¤;|/--š«£´R–­£M¤™+¿¤¬ŸR£M¤™ž´•#š«ª–­Ÿ›•s– + ' Ÿ›–¢™+®]ÁP”[•s– |]´R–d•#žoœ–

01À„  ’

‡32

 ’54 

176

€

1

€98

‡ 6

€

‡

€98

”¤i¤9²-Ÿ+žš|»Ÿ›•s–3²#ž ›– ´•#–¢™+–¼´šª«ªW•#žoœ9–˜Ÿ›•s–3²sš¿¿9–¢™&·¢¤®°¤^|s–$|9ŸÀ Ÿ+¤(žoœ9¤š¡—]™›¤9© |#—»ž²¤9©-Ÿ&–!™›™+¤™À 3-

´R–˜·À•s¤@¤9 ›–&®¤9™›–d°s™+–!·¢š ›–¢ª¾: 90;(<>=

:@? ‰ *A 1 ‡ Œ ´š«Ÿ›•]™›–B >°–!·ˆŸŸ›¤CB A B 1 B ‡ ¥

1

D B>EF

€GD B>EF€

‡

0#1

£W´<–d–ˆ¸-°s™+–! + <Ÿ›•s–#H™+ >Ÿ™›–!ªž¬Ÿ›š¤^|Žš|(Ÿ›•#š  |#–¢´¹²ž ›–3¥

„(0)

A

­’I) 1 1 ’I)

‡ ‡

2

0+

A

d’+J1G1R…K)L1

‡

Ÿ+•s– |

NMOMGPOMQ

RS

µT)

A + A

µT) 1 + 1

µT)

‡

…U) 1 VW

’§‰@X

µ µ-Œ

”[•#– |(´<–˜•#žoœ9–Ÿ+•s–˜®š|#š«®š¯!žuŸ+š«¤;|]¤^|ŽŸ›•s–#H#œ9–d°#ž¬™Àž¬®–ˆŸ+–¢™À  ) A ) 1 ) ‡ + A + 1 Á