Exponential Stabilization of Nonlinear Driftless Systems with Robustness to Unmodeled Dynamics

HAL Id: inria-00073212

https://hal.inria.fr/inria-00073212

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-

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non,

Exponential Stabilization of Nonlinear Driftless Systems with Robustness to Unmodeled Dynamics

Pascal Morin, Claude Samson

To cite this version:

Pascal Morin, Claude Samson. Exponential Stabilization of Nonlinear Driftless Systems with Robust-

ness to Unmodeled Dynamics. RR-3477, INRIA. 1998. �inria-00073212�

a p p o r t

d e r e c h e r c h e

THÈME 4

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

Exponential stabilization of nonlinear driftless systems

with robustness to unmodeled dynamics

Pascal Morin — Claude Samson

N° 3477

Août 1998

-

./0# 21!! "34,1+5*$! "$$(!+,6

798;:&<=8;>@?BADCEGFIHKJL>G8;MONOPRQ8;ST:ADF

UWVYXZL[]\^_a`bZcYdfehgi`fjlk[gjnmagi`fZo`fpqergq`bjnk

s [ pitapugqXZo[p"vjlZomYdf[wa[p

xzyqjh{u[g|uvehyq[

}elmYm;jlyig

s

[]yi[&v.VY[y.v.VY[~k;O€l\‚n2^ƒWjl„ag …&†l†l‡]^ˆ€l‰LmŠel‹l[&p

Œ!Žr‘Y’ll“” wam•jnkY[k=gq`feldp–gqel—Y`bdf`f˜ergq`bjnkTjh™kŠjlkYdf`bkŠ[ehy s yq`š™›gqdb[&pipLerœ*kY[vjlk=gqyijndpit‚p–gi[Z*p`žpe sYs yq[pqp–[ sŸ `šgqVTgqVY[

vjlkŠv[yqk!jl™env.VY`b[ ‚`bkY‹Lyqjl—YcŠp–gikŠ[pqp

Ÿ

`šgqV!yq[pim•[&v¡g"gqjL`fZom•[y–™¢[&v¡g£‚kYj

Ÿ

df[

s

‹n[9jl™3gqVY[ p–tap–gi[Z¤p"vjnk=giyqjldD l[&v¡gijny¥Š[d

s

p¦

|§k¨jly

s

[ygij©piehgi`žpu™¢tgqVY`žpyqjl—ŠcŠpugqkY[pqp yq[ª=cY`fyq[Zo[k=g«¬elk

s

`fkŠpimY`fyi[

s

—‚t®­f…¯

Ÿ

VY[yi[giVY[2pqehZo[`žpipicY[

Ÿ

enp]¥Šy.p–goe s‚°

s yi[&pipi[ s « Ÿ [9vjnkŠpi`s [yevjlk=gqyijnd•p–giy.ergi[‹lt Ÿ VY`žv.VvjnkŠp–`žp–gqp¬jl™ehmŠmYdbt‚`fkY‹ m;[yq`bj s `žveldbdftocYm s ergq[ s jnm•[k °dbj‚jlmvjlk=giyqjldžp

gqVŠerg"ehyq[@vjlk=gi`fk‚cYjlcŠp Ÿ `šgqVyq[pim•[&v¡gKgqjp–gqehgi[@`fkY`bgi`žehdvjnk s `bgi`fjlkŠp¦OUWVY[pi[9vjlk=giyqjldfdb[yqpKehyq[Zojlyq[mYyq[v`žpi[dft s [pqvyq`b—;[ s

enpvjlk=gi`fk‚cYjlc•pzgi`fZo[ °m•[yi`fj s `žv"™¢[[ s —Šenv.£‚pelpqpij‚v`fehgi[ soŸ `šgqV!epim;[v`b¥•v s t‚kŠehZo`žv[w‚gq[kŠpi`bjnkjh™gqVY[±jlyq`b‹n`bkŠeld•pitapugq[Z2¦

_acaœv`f[k=gLvjlk s `bgi`fjlk•p Ÿ VY`žv.V)«z`b™"giVY[telyi[pqergq`fp–¥Š[ s —‚tgqVY[!vjlk=giyqjld¬dže Ÿ «O[kŠpicYyq[*giV•erggqVY[!vjlk=giyqjldK`fpLe²yqjl—YcŠp–g

[wam•jnkY[k=gi`žehd¬p–gqel—Y`fdb`f˜[y™¢jly]gqVY[*[w‚gi[k s [ s pitapugq[Z³elyi[o‹n`b n[k)¦ ” wamYdf`žv`bgehk s pi`bZomYdf[vjnkngqyijndO[wamYyq[pqp–`fjlkŠp Ÿ VY`žv.V

pqergq`fp–™¢t©giVY[&p–[vjnk s `bgi`fjlkŠp`bk´giVY[venp–[!jh™µ °§s `bZo[kŠp–`fjlk•ehdv.V•eh`fkY[ s pitapugq[Z*pelyi[!mYyqjlm;jnpi[ s ¦ƒ¶vjnkŠp–giyqcŠv¡gq`b n[ehd°

‹njlyq`šgqVYZ·™¢jlygiVY[ s [pi`f‹lkTjl™@p–cŠv.VTvjlk=giyqjlddfe Ÿ p« Ÿ VY`žv.V¨ehmŠmYdb`f[p gij©ehk‚t¹¸ºpicaœv`f[k=gidftyi[‹lcYdžehy¡» s yq`š™›gqdb[&pipLvjnk=giyqjld

pitapugq[Z2«Y`žp s [pqvyq`f—•[ s ¦

¼²½=¾D¿qÀÁ

rŽl“

kYjlkYdf`fkY[elyWpitapugq[Z2«Šenp–t‚Zomagijlgi`žvpug.eh—Y`fdb`f˜ehgi`fjlk)«ayqjl—ŠcŠpug"vjnk=giyqjldë•ÄVY[k

°§Å

db`f[pqp"pi[yq`b[&p

"6·# 21! "3 !# # !R #3'1* $(!+, o1! "%! +5*$" "

Ž

“

xjlcŠy*db[&pp–tap–giXZL[&p

s

[²vjnZLZ*elk

s

[²pielkŠp s

yi`f l[n«Kdf[²mYyijn—YdfXZo[

s

[²dfep–gqel—Y`bdf`žpiehgi`fjlk®[wam•jnkY[k=gq`b[dbdf[

[&pug!vjlkŠpi`s y e  l[vm;jlcYymYyi`fkŠv`bmŠeldjl—Y{u[v¡gq`š™]däjn—agi[k=gi`fjlk s [ vjnZoZoelk s [&p*yijn—YcŠp–gi[&pomŠehyy.ehmŠm•jny–gehcYw¨[yqyq[cYy.p

s [ZLj s db`žpqergi`fjlk¹picYydf[pv.VŠehZomŠp s [vjnZLZ*elk s [l¦2jlgi`f  pmŠehy ­f…¡¯«"j¹v[mYyijn—YdfXZo[ s [ yqjl—Yc•pugq[pqp–[²e s {

g gic s ` «KkYjncŠpLvjlk•p–`s yqjlk•p s [&pdfjl`žp s [2vjlZoZ*ehk s [[k´—;jlcŠvdb[jlcY n[yigi[n«y `fkY`bgi`žehdf`fp [&pm yq`fj s `fª=cY[ZL[k=g«¬[g

s m•[k s elkngWvjnkngq`bk‚cYZo[kng s [@dä gqehgK`bkŠ`šgq`feldG¦Kĝ[pdfjl`žp s [9vjlZoZ*ehk s [m•[cY l[k=gehcŠpqpi`gqyi[@ =cŠ[pKvjlZoZo[ s [&p¬yq[gqjlcYy.p

s ¤ g.erg2`bk•pug.ergi`fjlkŠkŠeh`fyi[&p!vjlk=gi`fk‚cŠp s ¥ŠkŠ`fp´m•ehyigi`fy s ¤cYkY[©[w‚gq[kŠpi`bjnk s t‚kŠelZL`žª=cY[m•ehyigi`žvcYdf`bXyi[ s cBpitapugqXZo[ s [

s mŠehyig¦jncŠp kŠjlkjlkŠp s [&p*vjlk s `šgq`bjnkŠp*picaœpielkngq[pLm;jlyigqehk=gpicYy*v[poyq[gqjlcYy.p s ¤ gqehg*m•jncYyª=c)¤`fdžp*pug.eh—Y`fdb`žpi[k=g

s [L™ºejlkRyijn—YcŠp–gi[Ldb[opit‚p–giXZo[ gi[k s c)¦ @jlcŠp±mYyqjlm;jnpijlk•p@[kŠp–cŠ`šgq[ s [p±dbjn`fp s [*vjlZoZ*ehk s [L[wamYdf`žv`bgi[p±[g]pi`fZLmŠdb[&p

ª=cY`piehgi`žpu™¢jnk=gv[&pvjlk s `bgi`fjlk•pm;jlcYy!cYkBpitapugqXZo[v.VŠe"!žk s [ s `bZo[k•p–`fjlk ª=cY[dfvjlkŠª=cY[n¦ ” kY¥Šk)«@kŠjlcŠp s vyi`f ljnkŠp

cYk eldb‹njlyq`šgqVYZo[ s [pit‚kngqVYXpi[ s [odbjn`fp s [*vjlZoZ*ehk s [Lyqjl—YcŠp–gi[&p«)elmYmYdf`fveh—Ydf[#gqjlcagpitapugqXZo[Ly ‹lcYdf`b[ydbjaveldb[Zo[k=g

vjlZoZ*ehk s el—Ydf[l¦

$ Á Ž ¿ ’% Ž“ p–tap–giXZL[kYjnk2db`fk el`byq[l«Yp–gqel—Y`fdb`žpiehgi`fjlkelpit=Zomagqjhgq`fª=cY[n«YvjlZoZ*ehk s [yijn—YcŠp–gi[l«Yp yq`f[ s [ĝVY[k °§Å db`f[pqp

) *

#*$216K

+©[ vjnkŠpi`

s

[yehk2ehkŠeldbt=gq`fv

s

yq`š™›gqdb[&pip"pitapugq[Z jlk-,/.

0213465 7

8:9<;

=>

?A@/B

>08

4C

> D

¸u… »

dfjaveldbdftvjnk=giyqjldfdfel—Ydb[ehyqjlcŠk s gqVY[]jlyq`b‹n`bk3«a`G¦[l¦

_‚m•ehkFE

B

0GH4!5

BJI-K

`f[ 0B @ DMLNLMLD

B ; 4%O

9 , . D

¸Pn»

elk s e sŠs yi[&pip"giVY[ mŠyijn—Ydb[Z jl™OvjlkŠp–giyqcŠvgi`fkY‹[wamYdf`žv`bg™¢[[ s —Šelv.£!dfe Ÿ p Ÿ VY`fv.VT¸ºdbjavehdfdbtY»W[w‚m;jlkŠ[k=gi`žehdfdbtpug.eh—Y`fdf`b˜[l«Š`fk

pijlZo[pi[k•p–[ pim•[&v`b¥Š[ s džergq[y&«YgqVY[jnyi`f‹l`fk

8Q9

G

jl™gqVY[vjlk=giyqjldfdb[ s p–tap–gi[Z2¦"ƒ ™¢cYyigiVŠ[y@yq[ª=cY`fyq[Zo[k=g`žp"giV•erggqVY[pi[

™¢[[ s —•elv.£ap"p–VŠjlcYds eldfpijo—•[][wam•jnkY[k=gi`žehd)p–gqel—Y`fdb`f˜[yqp™¢jlyelk‚tSRum;[yigicŠyi—;[ sUT p–tap–gi[Z%`bkgqVY[™¢jlyqZ

01FV(4W5 7

8:9

;

=>

?A@

0B >08 4XZY

>

0[

D 8 4%4C

> D

¸º€=»

Ÿ `bgiV Y >

elkŠehdft=gi`žv `fk\,^]\,

.

ehk s Y >

0G

D 8 4 9 G « Ÿ VY[kW_[ _•`žp±piZ*ehdfdO[kYjncY‹lV)¦]|§kRjhgqVY[y Ÿ jlys p«D‹n`b n[ke\`aS

vjlk=giyqjldDpit‚p–gi[Z 021

3 4 « Ÿ [ Ÿ jncYds df`b£n[@gqj¥Šk s ab`=™¢[[ s —Šenv.£*vjlk=gqyijndfp« s [yq`b n[ s jnkgqVY[—Šelpi`žpKjl™3giVŠ`fpWkYjnZo`bkŠeld

pitapugq[Z2«hgqVŠergmYyi[&p–[yi n[giVY["mYyqjlm;[yigutjl™;[wam•jnkY[k=gi`žehd•pug.eh—Y`fdb`bgut Ÿ VŠ[kogiVŠ[telyi[elmYmYdf`b[ s gijcR–kY[`f‹lV‚—;jlyq`bkŠ‹ T pitapugq[Z*p

01 V 4

¦¹| g*`fpojl™vjlcYy.p–[2elpqpicYZo[ s gqVŠerg*gqVY[gqelkY‹l[kng*df`bkŠ[ehyelmYmYyqj wa`bZ*ergq`bjnkTjh™

021 3 4

erg

0

8^9 G D C 9

G4

`fpokYjlg

p–gqel—Y`fdb`f˜el—Ydb[n«npi`bk•v[WjhgqVY[yŸ `fpi[giVY[@mYyijn—Ydf[Z `žp¬pi`bZomYdftpijldf l[ s —‚tc•p–`fkY‹ ehkoe s [ª=cŠergq[Wdb`fkY[elyz™¢[[ s —Šenv.£

Cd0

8 4 9feQ8

¦

UWVŠ`fpelpqp–cYZomagq`bjnk `bZomYdf`f[p `fkTmŠely–gq`fvcYdžehy]gqVŠerg gqVY[y.ehkŠ£jh™WgqVY[Z*ergqyi`bw™¢jnyiZo[ s —=tRgiVŠ[!vjndbcŠZLk ° n[v¡gqjly.p

B >

0GH4

«

gihkjlh6m

«a`žppiZ*ehdfdb[ygqVŠehk2µz¦

|§kgqVY`žp3vjnk=gi[w‚g&«gqVY[¬gq[yqZ^n

;>

?A@

Y >

0[

D 8 4C

>

yq[mYyq[pi[k=g.pevdželpqpjh™acYkŠZLj s [db[ s]s t‚kŠehZo`žvp Ÿ `šgqV]yi[&p–m;[vg)gij Ÿ VY`žv.V

gqVY["pug.eh—Y`fdf`b˜`bkY‹±kYjnZL`fkŠeld‚™¢[[ s —Šelv.£]ZcŠpugO—;[yqjl—ŠcŠpug&¦ƒ9pm•jn`bk=gi[ s jncagz`bk­f…No ¯«lpicŠv.VcYkŠZLj s [db[ ss t=k•ehZo`fvpZoe t™¢jny

[wYehZomYdf[Welyi`žpi[K`fkmYy.elvgi`žv[n« Ÿ VY[k s [eldb`fkY‹ Ÿ `šgqVokYjlkYVŠjldfjlkYjnZL`žv Ÿ VŠ[[df[ s  l[VY`žvdf[p«r—•[&vehc•p–[jh™;cYkŠv[y–g.eh`fk=gi`f[pcYm;jlk

gqVY["‹l[jlZo[gqyi`žveldl™¢[&ergqcYyi[&pjh™ŠgqVY[W l[VY`fvdb[n¦UWVŠ[mYyq[pi[k=g¬p–gic s t`fp`fk™ºenv¡gz[pqpi[k=gi`žehdfdbtZojhgq`b rehgi[ s —‚t]giVŠ`fpp#%U&'` (

yq[ª=cY`fyq[Zo[k=g¦|§k s [[ s «h[wamYdb`žv`bgARuVŠjlZojl‹n[kY[jlcŠpT [wam•jnkY[k=gq`feldD¸¢gi`fZo[ °  elyit‚`fkY‹=»p–gqeh—Š`bdf`b˜[y.p C/0

8

D%q

4

™¢jlyzpitapugq[Z*p 02134

V•e  l[¬—;[[k s [yq`b n[ s `fk  rehyq`bjncŠpmYyq[ ‚`fjlcŠp3pugqc s `f[p¸ºpi[[­f…€a«=…r ¯Ã«&™¢jly[wYehZomYdf[&»¦ds@j Ÿ [ l[y&« elp s [ZojlkŠp–giy.ergq[ s yq[v[k=gidft

`fk´­f…P ¯Ã«DkYjnkY[jl™¬giVY[&p–[Lvjnkngqyijndfp9p–jndb n[pgiVY[yijn—YcŠp–gikY[&pip@mYyijn—Ydf[Z pug.ergq[

s

el—•jr n[ `bkgiVY[opi[kŠpi[ gqVŠerg9giVY[yi[Lehd

Ÿ e tap

[wa`fp–gqpWpijlZo[

Y >

0[

DML

4

™¢jny

Ÿ

VŠ`fv.VgiVY[jlyq`f‹l`fkjh™)gqVY[]elpqp–jav`fehgi[

s

vjlk=gqyijndbdf[

s

pitapugq[Z'`žpWkYjhg"pug.eh—Ydf[

Ÿ

VY[k [ut

9 G ¦ jhgq[

gqVŠerg@giVY`žpkY[‹nehgi`f l[yi[&p–cŠdšg

s

j=[&p"kYjlg@vjlk=gqyqe

s

`fvg"giVY[ ™ºelv¡g"gqVŠerg±p–cŠv.V²vjlk=giyqjldfdb[yqp"elyi[yqjl—Yc•pug@el‹neh`fkŠp–gdb[&pip‹l[kŠ[y.ehd

cŠkYZoj s [df[ sos t‚kŠehZo`žvp«nenpgiVY`žpz`žpz[kŠpicYyq[ s —‚t]giVY[@[wa`fp–gi[kŠv[Wjl™De

K

t=ehmYcŠkYjr ™¢cYkŠvgi`fjlko™¢jlyOgqVY[vjnk=giyqjldfdb[ s kYjnZo`bkŠeld

pitapugq[Z2¦"|g¬{ucŠp–g9[ZomYVŠelpi`f˜[pgiVY[ ™ºelv¡g9giVŠehg«Dvjnkngqyqelyitgij*gqVY[velpi[]jh™zdb`fkY[&ehy9vjlk=giyqjldp–tap–gi[Z*pp–gqel—Y`fdb`f˜[ s  =`žeogqVY[

c•p–[]jl™df`bkŠ[ehy™¢[[ s —Šenv.£ap«‚gqVY[][wa`žpugq[kŠv[]jh™ze

K

tnelmYcYkYjr o™¢cYk•v¡gi`fjlk™¢jnyWgiVY[ vjlk=giyqjldfdb[ s pitapugq[Z%`žp"kYjlg@p–cYœ*v`b[k=ggqj

[kŠpicYyi[ giVY[gut‚m•[jh™¬yqjl—YcŠp–gikŠ[pqpvjnkŠp–`s [yi[ s VY[yq[l¦±UWVY`fp@kY[‹=ergq`b n[ yi[&p–cŠdšgehdžp–jp–giyqjlkŠ‹ldft!picY‹l‹n[p–gqp¸GehdbgiVYjncY‹lV2gqVY`žp

yq[Z*el`bkŠp±gqj2—•[*yq`b‹njlyqjlcŠpidft[&pug.eh—Ydf`žp–VY[ s »@giVŠehg kYj²vjnkngq`bk‚cYjncŠp±™¢[[ s —Šenv.£

Cd0

8

Dvq

4

«3kŠjhg]kY[v[pqpielyi`fdft²VYjlZojl‹n[kY[jlcŠp«

vehko—;[@eyijn—YcŠp–g¬[wam;jlkY[kngq`feldYpug.eh—Y`fdf`b˜[y&¦/s@j Ÿ [ l[y&«r`bg s j‚[pzkŠjhg¬`fZLmŠdbtgiVŠehgzgiVY[@mYyijn—Ydf[Z vehkYkŠjhg¬—;[VŠehk s db[ s  =`že

elke s [ª=cŠergq[ s t‚kŠelZo`fv[w‚gi[kŠp–`fjlkRjh™zgqVY[jnyi`f‹l`fkŠeld3kYjnZL`fkŠeldpitapugq[Z2¦±x¬yijr ‚`fkY‹gqVY[[wa`fp–gi[kŠv[n«;jny@kYjnk ° [wa`fp–gi[kŠv[n«

jl™¬p–jndbcagq`bjnkŠp"jl™gqVY`fpgut‚m•[vjlcYds giV‚cŠp@—•[e*picY—a{u[&v¡g™¢jny"™¢cagqcYyi[pugqc s `f[p¦ƒ9p@eoZ*ergigi[y9jh™™ºelvg«•elk s elp[wamYdžeh`fkY[ s

—;[dfj Ÿ «‚giVŠ[]mYyi[&p–[k=g"p–gic s tZ*e teldbyq[e s t*—•[ pi[[kenp"eopugq[m2`bkgqVY`fp s `byq[vgi`fjlk)¦

Å [[ s —Šelv.£ap Ÿ VŠ`fv.V elyi[¬vjlk=gi`fk‚cYjlcŠp Ÿ `šgqV]yi[&p–m;[vg)gijgiVY[pug.ergi[ s jkYjlg3yi[mYyq[pi[k=ggiVY[jlkYdftwRuyq[enp–jnkŠeh—Ydf[ T m•j=pipi`b—Š`bd°

`bgut±`bk]jny s [ygij9elv.VY`f[ n[gqVY[ s [&p–`fyq[ s yqjl—YcŠp–gikŠ[pqpyi[&p–cŠdšg&¦ Å jny3`fkŠpug.ehkŠv[l«&—•[&p–`s [&p™¢[[ s —Šenv.£‚p Ÿ VY`fv.V elyi[ s `fpqvjnkngq`bk‚cYjncŠp

ehggqVY[±jlyq`b‹n`bk)«‚elpmYyqjlm;jnpi[ s —‚tpi[ l[yqeld•elcagiVYjnyqpK`bkgiVY[±mŠenpug]¸ºpi[[­€Š«‚‡r¯Ã«‚™¢jny[waelZomYdb[ »¬elk s ™¢jny Ÿ VY`žv.Vyqjl—ŠcŠpugqkY[pqp

`žpqp–cY[&p@V•e  l[ pi[ds jlZ —;[[kRe sYs yq[pqpi[ s pij*™ºehy&«;em•j=pipi`b—Š`bdf`šgut²vjlkŠpi`fp–gqp@`bkRvjlk•p–`s [yq`fkY‹x"y#zjlm;[k °dbj‚jnm`{&™¢[[ s —Šenv.£

vjlk=giyqjld•pugqyqehgi[‹n`b[&pzp–c•v.Voenpzjlm;[k

°

dfj‚jlm*vjnkngqyijndfp

Ÿ

VŠ`fv.V*ehyq["m;[yq`bj

s

`žveldbdftcYm

s

ehgi[

s

™¢yqjlZ giVŠ[Zo[elpicYyq[Zo[k=g

8

02|'}i4

«

|

IW~

«jh™giVŠ[pug.ergq[erg

s

`žpivyi[gi[Lgi`fZo[

°

`bk•pug.ehk=gqp¦!_‚cŠv.V e²vjlk=giyqjldzVŠenp±™¢[ehgicYyq[p piVŠelyi[

s

—‚tRvdfenpipi`žvehdOmY`f[v[

Ÿ

`žp–[

°

vjlkŠp–gqelk=g

s

`fpqvyq[gq[

°

gi`fZL[o™¢[[

s

—•elv.£ap«3—YcagcYkŠdb`f£l[LgiVŠ[pi[ ¸ºehk

s

™¢jny]giVŠ[*mYcYyqm•j=p–[ojh™"elpit‚Zomagijlgi`žv*pug.eh—Y`fdb`f˜ehgi`fjlk•»@gqVY[

vjlk=giyqjldz reldbcY[—•[g Ÿ [[k©g Ÿ j²pqehZomYdf`bkŠ‹2gi`fZL[ °`fkŠp–gqelkng.p velkYkYjlg«`bk©giVŠ[mYyq[pi[k=gvenp–[n«3—;[vjnkŠpug.ehk=g]—•[&velcŠp–[ogqVY`žp

Ÿ jlcŠds vjnk=giy.e s `žv¡gogiVŠ[²£=kŠj Ÿ k¨kYjnk °[wa`fp–gi[kŠv[ ¸ºyi[&p–cYdbgi`fkY‹™¢yqjlZ giVY[² ‚`fjldžergi`fjlk®jh™iyijav.£n[g–g&¤p*vjlk s `šgq`bjnkB­€P ¯¢»Ljh™

enp–t‚Zomagijlgi`žveldbdftpug.eh—Y`fdf`b˜`bkY‹ovjnk=gi`fk=cŠjlcŠpmYcYyq[ ° pug.ergq[™¢[[ s —Šenv.£‚p C/0

8 4

¦¬UWVY[`s [ejh™3c•p–`fkY‹giVY`žpgut‚m•[jh™vjlk=gqyijndŠ™¢jny

gqVY[mYcYyqm;jnpi[Ljl™Wp–gqel—Y`fdb`f˜`fkY‹giVY[vdfenpipjl™

s

yi`b™›gidf[pqp]p–tap–gi[Zopvjlk•p–`

s

[yq[

s

VY[yq[*`žpkYjhg kY[

Ÿ

¦UWVY`žp]m;jnpqp–`f—Y`fdb`bgut VŠenp

pijlZo[gq`bZo[&p9—;[[kRmŠyi[&p–[kngq[

s

elpehkR[w‚gi[kŠp–`fjlkRjh™Wp–jndbcagq`bjnkŠp9jl—ag.eh`fkY[

sŸ

VY[ke sYs

yi[&pipi`bkŠ‹giVŠ[Ljnm•[k

°

dbj‚jlmRpugq[[yq`fkY‹

mYyqjl—Šdb[Z«a`æ[l¦OgiVŠ[]mYyijn—Ydf[Z%jl™¥Šk

s

`bkŠ‹oelk2jlm;[k

°

dbj‚jnm!vjnk=giyqjld

Ÿ

VY`žv.Vp–gi[[y.pgiVY[ pitapugq[Z'™¢yqjlZ ehk2`bkŠ`šgq`feld)pug.ergi[gqj

elkYjhgqVY[y s [&p–`fyq[ s jlkY[²¸ºpi[[²­f…\Š«¬… ¯«)™¢jny][wYehZomYdf[&»¦ st‚—Yyq`s vjlk=gi`fk‚cYjlcŠp{ s `fpqvyq[gq[ gi`fZo[*[wam;jlkY[kngq`feldKp–gqeh—Š`bdf`b˜[y.p

™¢jnyWv.V•eh`fkY[ s p–tap–gi[Z*p« Ÿ VY`žv.V s jLkYjhgpim•[&v`b¥•veldbdft*yq[dft*jlkjnm•[k °dbj‚jlmpugq[[yi`fkY‹vjlk=giyqjldë‚VŠe  l[±ehdžp–jL—;[[kmYyqjlm;jnpi[ s

`fk´­f…† ¯¦isj Ÿ [ n[y&«3­f…¡¯z`fp@gij!jlcYy±£‚kYj Ÿ db[ s ‹l[ giVY[LjlkYdft²pugqc s t Ÿ VY[yi[giVY[Lyijn—YcŠp–gikY[&pip@mYyqjl—Ydf[Z p–gqergq[ s el—•jr n[ VŠenp

—;[[ko™¢jlyqZcYdžergq[ s `bke]pi`bZo`fdfelyO™ºelpiVY`fjlk*ehk sŸ VY[yi["`bgKVŠenpO—•[[kpiVYj Ÿ kgqVŠergKgiVY`žpzmYyqjl—Ydf[Z4velk—;[@pijldf l[ s —‚tcŠpi`fkY‹

e!V‚t=—Šyi`s jnm•[k °dfj‚jlm`{ ™¢[[ s —Šelv.£2vjnk=giyqjldæ 2jlyq[mŠyi[&v`žp–[dbtn«•gqVY[*eh—;jr l[yi[™¢[yq[kŠv[`›»@mŠyijnm•j=p–[&p9e!Zo[giVŠj s jldfjl‹lt™¢jny

vjlkŠp–giyqcŠv¡gq`bkŠ‹oeyqjl—YcŠp–gvjnkngqyijndp–jndbcagq`bjnk`fkgiVY[]pim•[&v`b¥•vvelpi[*¸¢jl™mYy.elvgi`žvehdD`fk=gi[yq[p–g.» Ÿ VY[kgqVY[]kYjnZL`fkŠeld)p–tap–gi[Z

01 3 4

`fpe °`bkŠmYcagµ °§s `fZL[kŠpi`bjnkŠehd"'` (zJy ( Ma«`b`›» s [pqvyq`b—;[p picaœv`f[k=gvjlk s `šgq`bjnkŠp]™¢jny]giVY[!µ °s `bZo[k•p–`fjlkŠeld

velpi[ Ÿ VY`fv.V3«`b™WgiVY[t©elyi[*Zo[g—‚t giVŠ[!vjnk=giyqjldz[wamYyq[pqpi`bjnk)«3[kŠp–cŠyi[&p]yijn—YcŠp–gpug.eh—Y`fdf`b˜&ergi`fjlk3«elk s `b`f`ž»]mYyijr ‚`s [pehk

[w‚mŠdb`žv`bg@vjnkngqyijnd•[wamYyi[&pipi`fjlk`fkgiVY[ °§s `fZo[kŠpi`bjnkŠehdDvenp–[o¸›gqVY[ s `fZo[kŠpi`bjnk LVŠe  ‚`fkY‹—;[[kv.VŠjnpi[kZo[yi[dbt*gqjLpiVYj Ÿ

gqVŠerg9giVY[elmYmYyqjnenv.V!yq[Z*eh`fkŠpWgqyqenv¡g.eh—Ydf[™¢jly s `bZo[kŠp–`fjlk•pdžehyq‹l[yWgqVŠehk=»¡¦W|§k2™ºelvg«DehdbgiVYjncY‹lVgqVY`fp@`fp@kYjhg±p–m;[v`š¥Š[ s

`fkgqVY[*eh—;jr l[yi[™¢[yq[kŠv[l«DgiVŠ[LmŠyijnm•j=p–[

s

vjnkngqyijnd

s

j=[&p±kYjhg Ripugqyi`žv¡gqdbt

T

[k•p–cYyq[oelpit=Zomagqjhgq`fvLpug.eh—Y`fdf`šgutn«`bkRgiVY[ocŠpicŠeld

pi[kŠpi[jh™

K

t=ehmYcYkŠjr ;«‚jl™3giVŠ[]jlyq`b‹n`bkjh™giVY[]m;[yigicYyq—;[

s

p–tap–gi[Zop 01FV(4

¦

|§kjly

s

[ygij±—•[Zojlyq[pim•[&v`b¥•veh—;jlcaggiVY[Wdžergigi[ym;jl`fkng&«lehk

s

ehdžpij9vdžehyq`b™¢t9gqVY[WZo[ehkŠ`bkY‹9jh™UR–m;[yq`bj

s

`žveldbdftcYm

s

ergi[

s

jnm•[k °dfj‚jlm2vjnkngqyijnd;elmYmYdf`b[ s gqj*egq`bZo[ °vjlk=gi`fk‚cYjlcŠpWpitapugq[Z 7

8:9

B 08 D

Cd4T «a`šg"`žpWcŠp–[™¢cYdgqjL`fk=giyqj s cŠv[9giVŠ[™¢jldfdbj Ÿ `fkY‹

v2 M`z vzvjlk=giyqjldpitapugq[Z

7

8-9

B 08 D Cd4

7

9 0 =

4v0

8! #"

4 G%$'&($Z}

D

¸¢\‚»

Ÿ `bgiV

} s [kYjlgi`fkY‹²giVŠ[cYm s ergq`bkŠ‹²gi`fZo[ ° m•[yi`fj s jh™"giVŠ[vjnkngqyijnd¬mŠely–g Ÿ VŠ`fv.V s [m;[k s pcYm;jlk

«

giVY[vdželpqp–`žveld

s `fy.elv `fZomYcYdžp–[oerg9giVY[gi`fZo[ °`bk•pug.ehk=g

|H}

«;elk s

) *"

gqVY[ s [dže t2jlm;[y.ergijny9picŠv.V²gqVŠerg

! *"

0q 4

9 0q

&l4

¦,+±`f l[k©e

vjlk=gi`fk‚cYjlcŠp™¢[[ s —Šenv.£vjnk=giyqjld Cd0

8 D

Dvq

4

«Yelk!`fkY`bgi`žehd)vjnk s `bgi`fjlk

08 0q3 4 D 0q3 44

gqjLgiVY[ vjlk=giyqjldfdb[ s [w‚gq[k s [ s p–tap–gi[Z

`žp s [¥ŠkŠ[ s —=t2`›»±v.VYj‚jnpi`bkY‹!em;jl`fk=g

08 3 D 3 4 I , . ]J, . «)ehk s `f`ž»9p–[g–gq`bkY‹

8 0q3 4 9 8 3 « 0q3 4 9-

3

`š™

q3

`žp±kYjhg]e

ZcYdšgq`bmŠdb[jh™

}

«relk s 0q 3 4 9 8 3

`b™

q3 9

|'}

¦UWVŠ[K`fkngqyij s c•v¡gi`fjlkjh™agiVŠ[[w=gqyqe[ª=cŠergq`bjnk `fk

{ucŠp–g`fk s `žvehgi[p3giV•erg

0q 4

`žpvjnkŠp–gqehk=g@elk s [&ª=cŠehdgqj

8

02|'}i4

jlkgqVY[gi`fZo[ ° `bk=gi[yi reld.

|H}

D

02| X g 4}i4

¦UWVY[yq[™¢jnyi[n«Yehk‚tvjnk=giyqjldDgiVŠ[][wamYyq[pqp–`fjlk

jl™ Ÿ VY`žv.V)«jlkgiVY[Lgi`fZo[ °`bk=gq[yq  eld/.

|'}

D

0|bX

g

4}u4

«D`fpe™¢cYkŠvgi`fjlk©jh™

8

0|'}i4

ehk s q

«Z*e to{ucŠp–g±—;[o`bk=gi[yimŠyi[gi[ s elpe

™¢[[ s —Šenv.£Rvjlk=giyqjld C/0

D%q

4

™¢jnygiVY[vjlyqyi[&p–m;jlk s `bkŠ‹[w‚gq[k s [ s p–tap–gi[Z¦ Å yijnZ³kYj Ÿ jlk)« Ÿ [ Ÿ `fdbde s jnmaggiVY`žp]m;jl`fk=g

jl™K ‚`b[ Ÿ~Ÿ VY[kY[ l[y@yq[™¢[yqyq`bkY‹gijgqVY`žpgut‚m;[jl™Kvjlk=gqyijndG¦±ƒ@p±vjlZoZojlkŠdbt s jnkY[[dfpi[ Ÿ VY[yi[n« Ÿ [ Ÿ `fdfdeldfpijpqe tgqVŠerg]e

™¢[[ s —Šenv.£vjnk=giyqjld Cd0

8 D

Dvq

4

`žp]e©¸¢cYkY`b™¢jlyqZ» %M ( M#@™¢jnygiVY[o[w‚gq[k s [ s pitapugq[Z ¸º\=»9`b™KgiVŠ[yq[L[wa`fp–g

elk²jlm;[k pi[g0

I , . ]-, . vjlk=gqel`bkY`fkY‹ogqVY[m;jl`fk=g 0G

D

GH4

«•eom;jnpi`šgq`b n[ yq[ehd3k=cŠZ—;[y21«•elk

s

eL™¢cYkŠvgi`fjlk3 jl™¬vdželpqp

4

p–c•v.VgqVŠerg

_08 0q 4 D 0q 4%4

_ h 3 08 0q3 4 D 0q3 4 465

887

0 1 0q q 3 4%4:9

q<;6q 3 ;

G)=9/0

8 0q 3 4 D 0q 3 4 4 I 0 ¸rn»

Ÿ `bgiV

08 0q 4 D 0q 4 4 s [kYjlgi`fkY‹oehk‚t*p–jndbcagq`bjnkjl™3giVŠ[±vjlk=giyqjldfdb[ s pitapugq[Z2¦ jhgq[@gqVŠergWgqVY[]piehgi`žpu™ºenv¡gi`fjlkjh™¸rl» s j‚[pkYjlg

`fZomYdbtgqVŠerggqVY[vjlk=giyqjld3`fp9ehk²[wam;jlkY[k=gi`žehdp–gqel—Y`fdb`f˜[y"™¢jly@giVY[ jnyi`f‹l`fkŠeld3p–tap–gi[Z·¸Ÿ VY`bdf[]gqVY[vjlk‚ l[yqpi[`fpgiyqcY[&»¦"|g

`žpWgiV‚cŠp@eLpidf`b‹nVngqdbt Ÿ [&eh£l[yWmYyijnm•[y–gutn¦!sj Ÿ [ l[y«=[wYv[mag"™¢jnyelpi£=`fkY‹¥ŠkY`bgi[ °gq`bZo[vjlk‚ l[yi‹n[kŠv[gijo˜[yqjŠ«a`bg`fp"kŠ[ehyqdft

gqVY[—;[p–g giV•ergLvehk—;[jl—Ygqeh`fkY[ sRŸ VŠ[kTcŠpi`fkY‹ e vjnk=giyqjld Ÿ VY`žv.V s [m;[k s pvjlk=gi`fk‚cYjlc•p–dftcYm;jlk

«£‚kYj Ÿ `bkŠ‹2giVŠehg

picŠv.V2eLvjlk=giyqjldvehkYkYjlg—‚tvjlkŠp–giyqcŠvgi`fjlk!enp–t‚Zomagqjhgi`žveldbdftp–gqeh—Š`bdf`b˜[±giVY[]jnyi`f‹l`fkŠehdDpit‚p–gi[Z2¦ Å jlyW`fkŠp–gqehk•v[

8 0q 4 Zoe t

Ÿ [dfd)vyqjnpqp¬˜[yqjLehgWegi`fZo[ °`bkŠp–gqelk=g Ÿ VY`žv.V`fpkYjlgWeZcYdbgi`fmYdf[jh™

} « Ÿ `bgiVYjncagpugqjlmYmŠ`bkY‹giVŠ[yq[l¦ jlgi[±giVŠehgWeLpi`bZo`fdfely

`fZom•j=pipi`b—Š`bdf`šgutVYjlds p Ÿ VY[kgiVY[±™¢[[ s —Šenv.£vjnkngqyijnd s [m;[k s pWjnkgqVY[`bk=gi[‹ly.ehd;jh™giVY[]p–gqergq[

8

¬elpit‚ZLmYgijhgq`fv±p–gqeh—Š`bdf`šgut

vehkjlkYdft —;[*[p–gqel—Ydb`žpiVY[ s ™¢jly elk[w‚gi[k s [ s p–gqehgi[ Ÿ VY`žv.Vvjlk=gqel`bk•p±giVY[*`fk=gi[‹nyqeldzjh™

8

¦!UWVŠ`fpVŠenp]kYjlgmŠyi[ l[k=gq[ s

df`bkŠ[ehyx¬|?>Ivjnk=giyqjldfdb[yqpK™¢yijnZ%—;[`fkY‹*m•jnmYcYdžehyelk sŸ

`s

[dbt![ZomYdfjrtl[

s

`bk2mYy.elvgi`žv[n¦

K

[gcŠpokYj

Ÿ

vjnZL[2—Šenv.£ gijgqVY[ vjnk=giyqjld"pugqyqehgi[‹ltTp–gic

s

`f[

s

`fk ­b…¯@ehk

s

`fkngq[yqmYyq[g*`šg`fk ‚`b[

Ÿ

jh™±giVŠ[ eh—;jr l[

s

[¥ŠkY`bgi`fjlkŠp¦| gt‚`b[d

s

pvjlk=gq`bk‚cYjncŠp a A@H M#zB ™¢[[

s

—Šelv.£ap C/0

D%q

4

¸º`G¦[l¦2picŠv.V©giVŠehg Cd0

D%q X }2C4

9

C/0

D%q

4

™¢jny

pijlZo[

}

C*D

G

»¡«=giVŠ[@gq`bZo[ ° m;[yq`bj s pjh™ Ÿ VŠ`fv.Vehyq[@[ª=cŠeldŠgqjgqVY[±cYm s ergi`fkY‹Lm•[yi`fj s }

¸º`G¦[l¦

} C 9 }

»¦|§k!jlcYyjlmŠ`bkY`fjlk3«

gqVY[2`bZom;jlyigqehk•v[jl™giVŠ[vjlk=giyq`b—Šcagi`fjlk¨`bkB­b…¡¯@vjlZo[p™¢yqjlZ·giVŠehg*`šg*vjnk= ‚`fkŠv`fkY‹ndbt s [ZLjnkŠp–giy.ergi[&p gqVY[m•j=pipi`b—Š`bdf`šgut

jl™elv.VY`f[ ‚`fkY‹f#%U&'o¸Ÿ `bgiVByi[&p–m;[vggij¨cYkYZoj s [df[ sBs t‚kŠehZo`žvp«@elp s [¥•kY[ s [ehyqdf`b[y.»Q vMH` M†c2U

¸Gpug.eh—Y`fdf`šgut!—•[`bkY‹okYj

Ÿ

gqel£l[k`fk!gqVY[ #BM)pi[kŠpi[jh™

K

tnelmYcYkYjr Y»Kjh™zehk[w‚gi[k s [ s

vjlk=giyqjldpitapugq[Z

01 3 4W5

7

8:9 ;

=>

?A@ B > 08 4C

>

7

b9 0 =

4v0

8 #"

4 G%$ &$6}

¸o=»

 ‚`žegiVY[]cŠpi[]jh™Oeovjlk=gq`bk‚cYjncŠpgi`fZo[ °m•[yi`fj s `fv9™¢[[ s —Šenv.£

C/0

D%q 4 ¦

|§kgqVY[ mYyq[pi[k=g"mŠehm;[y&«agqVY[ [wamYdfjly.ergq`bjnkjl™gqVY`fp@m•j=pipi`f—Y`bdf`bgut`žpvelyiyq`b[ s ™¢cYyigiVŠ[yjnk)¦UWVY[¥•yqp–gyi[&p–cŠdšgmYyqjr ‚`s [p

epicaœv`f[k=gvjlk s `šgq`bjnkcYk s [y Ÿ VY`žv.VRegi`fZL[ °m;[yq`fj s `fvLvjnkngq`bk‚cYjncŠp9™¢[[ s —Šelv.£²vjlk=giyqjldfdb[y C/0

D%q

4

`›»@[wam•jnkY[k=gi`žehdfdft

p–gqel—Y`fdb`f˜[&p gqVY[2jlyq`b‹n`bk jl™9epitapugq[Z,¸o=»¡«Kelk s eldfpij`f`ž»[wam;jlkY[k=gi`žehdfdbt p–gqeh—Š`bdf`b˜[pgiVY[2jnyi`f‹l`fk jh™9elk‚t©kŠ[`f‹lV‚—•jnyi`fkY‹

pitapugq[Z

01FV465

7 8:9<;

=>

?d@

0B >08 4XZY

>

0[

D 8 4%4C

>

7

9 0 =

/

4%0

8 ! *"

4 G $'&$6}

¸Ãl»

mŠyijr ‚`

s [ s

gqVŠergu_

[

_l`žppiZ*ehdfd•[kYjlcŠ‹lV)¦OUWVY[k3«ajlk*gqVY[9—•elpi`fpjh™gqVY`fpyq[picYdbg«

Ÿ

[9mYyqjlm;jnpi[9epitapugq[Z*ergq`fv9ehk

s

vjlZomYdf[gq[

vjlk=giyqjld s [pi`b‹nkLmŠyijav[ s cYyq[ Ÿ VY`fv.VojnkYdbt`bk‚ njldf l[pze±¥•kY`šgq["k‚cYZ—;[y¬jl™)ehdf‹l[—Šyqel`fvjlm;[y.ergq`bjnkŠp¦ Å jndbdfj Ÿ `bkŠ‹9gqVY`žp s [&p–`f‹lk

mŠyijav[ s cYyq[giV‚cŠp@t=`f[ds p"[k=gi`fyi[dbt[wamYdf`fv`šg@™¢[[ s —Šelv.£!dfe Ÿ p¦UWVY[mYyijav[ s cYyq[]`žp`bgqpi[db™ze s ehmYgi[ s ™¢yqjlZ¶[wa`žpugq`bkY‹ogq`bZo[ °

m;[yq`fj s `fv*jnm•[k ° dbj‚jlmTvjlk=giyqjld s [pi`b‹nkgi[&v.VYkY`žªncŠ[p Ÿ VŠ`fv.V VŠe  n[*—•[[kTmŠyijnm•j=p–[ s `fk ­€P P‚«…l…¡¯]¸ºpi[[!ehdžp–j ­f…‰ ¯™¢jlyLehk

[&ehyqdbt*—Šcag@vjnZLmŠdb[gi[p–cYyq l[t*jh™Op–cŠv.V!gi[&v.VYkY`žª=cY[p.»K™¢jly s yq`š™›gqdb[&pip"vjlk=giyqjldDp–tap–gi[Zop"ehœ*kY[9`fkgiVY[]vjlk=giyqjldæƒ@dšgqVYjlcŠ‹lV

gqVY[`bZomYdf[Zo[k=g.ergi`fjlk¨jh™gqVY[yi[&p–cYdbgi`fkY‹©ehdf‹ljlyq`bgiVYZ `žppijlZo[ Ÿ V•erg`fk‚ ljndb n[ s `fkTgiVŠ[‹n[kY[yqeldvelpi[l« Ÿ [!piVYj Ÿ giVŠehg

pi`fZLmŠdb[vjlk=giyqjldD[w‚mŠyi[&pipi`bjnkŠp"velk!—;[ jn—agqel`bkY[ s ™¢jlypim•[&v`b¥•v vdželpqpi[pjh™¬pit‚p–gi[Z*p«Yenp"`bdfdfcŠpugqyqehgi[ s `fkgiVY[velpi[ Ÿ VY[yq[

gqVY[Ljlyq`b‹n`bkŠeld3pit‚p–gi[Z 021 3 4

`žp@`fk²gqVY[Lv.V•eh`fkY[ s ™¢jnyiZ2¦ƒdžp–j•« Ÿ `bgiVRyi[&p–m;[vggijgiVY[op–jndbcYgi`fjlk ‹n`b n[k²`fkT­b…¯™¢jny@gqVY[ °

s `bZo[k•p–`fjlkŠeld)v.VŠeh`fkY[ s pit‚p–gi[Z2«‚giVY[]pi`bkY‹ndb[vjnk=giyqjldD[wamYyq[pqp–`fjlkmYyijnm•j=p–[ s VY[yi[±[k•vjlZomŠenpipi[pWeldbd s `fZo[kŠpi`bjnkŠp Ÿ `bgiV

kŠj*[w‚giy.e Ÿ jlyq£*kY[[ s [ s ¦

UWVŠ[±m•ehm;[yW`fpWjnyi‹=ehkY`f˜[ s elp™¢jndbdfj Ÿ p¦zUWVY[Z*eh`fkyijn—YcŠp–gikY[&pipyi[&p–cŠdšg"`žpWmYyi[&p–[k=gi[ s `bk²_‚[&v¡gi`fjlkxPa¦zUWVY`žpWyq[picYdšgW`žp

c•p–[ s `fk _‚[vgi`fjlk2€™¢jlyWgiVŠ[ s [pi`b‹nk!jl™yqjl—ŠcŠpugp–gqel—Y`bdf`f˜[y.p¦OƒB™¢[ Ÿ ¥Šk•ehd)yq[Z*ehyq£apWehyq[9‹n`b n[k`bk _‚[&v¡gi`fjlk\Š¦

UWVŠ[9™¢jndbdfj Ÿ `fkY‹okYjhg.ergi`fjlk`žpWcŠp–[ s ¦

UWVY[`

s

[k=gi`bgut2™¢cYkŠv¡gq`bjnkjnk\, . `žp

s

[kYjlgi[

s

j «l_

L

_•`žpgqVY[

”

cŠvdf`

s

[ehkRkYjlyqZ2«ehk

s _L_¹`fp@giVY[LkYjnyiZ `fk

s

cŠv[

s

—‚teLm•j=p–`bgi`f l[

s

[¥ŠkY`bgi[]Z*ergqyi`bwo¦

UWVY[±giy.ehk•p–m;jnpi[jh™eLyqj ŸW° n[vgijly

08 @ DNLMLNLFD

8 . 4

`fp s [kYjhgq[ s elp

08 @ DMLNLMLFD

8 . 4C¦

Å jny9elk=t2 n[v¡gqjly@¥Š[ds elk s piZLj‚jlgiV²™¢cYk•v¡gi`fjlk

B

jlkQ, . « B s [kYjhgq[p@giVY[

K

`f[ s [yi`f rergq`b n[jh™

B

eldbjnkY‹*gqVY[

 l[&v¡gqjly¥Š[ds ¦:+¹VY[k

B 9 0B @ DMLMLNLFD B . 4C

`žpe²piZoj=jlgiVZ*ehm™¢yqjlZ , . gqj²`šg.p–[dš™u« B s [kŠjhgi[&p]gqVY[*Z*ehm

0 B @

DMLNLMLD B . 4C¦

ƒIpqª=cŠehyq[ Z*ergqyi`bw `žp9vehdfdb[ s zAM#% A@2( 9`b™Kehdfd`bgqp9[`f‹l[k= reldbcY[&pehyq[p–giyq`fvgidft2`bkŠpi`s [ gqVY[vjlZomYdf[w²cYkY`bg

v`fy.vdf[l¦

+±`f l[kRevjnkngq`bk‚cYjncŠp"™¢cŠkŠv¡gq`bjnkŠp•« s [¥•kY[ s jlkpijlZo[ kY[`b‹nV‚—•jnyiVYj‚j s jh™zgqVY[Ljlyq`b‹n`bk²`fkJ, . « Ÿ [ s [kŠjhgi[

0 4

¸¢yq[pim)¦

0 4

»ehk‚t ™¢cŠkŠv¡gq`bjnkjlyZoelmp–c•v.VogiVŠehg

"!

G

elpc_

8 _

"!

G

¸ºyi[&p–m3¦picŠv.VogiV•erg#$%&'

h e

`fk©pijlZo[LkY[`f‹lV‚—;jlyqVYj‚j s jh™giVY[ojlyq`f‹l`fk•»¡¦b+¹VY[k(

9 _L_« Ÿ [ Ÿ yq`šgq[) 08 4

¸ºyi[&p–m)¦*

08 4

»`fkŠp–gi[&e s jh™+

0 4v0

8 4

¸¢yq[pim)¦, 0

4%0

8 4

»¡¦

1,6W %6!$2.'r# ! $ #1!% O

xzyq`fjlygqjp–gqergq`bkŠ‹giVŠ[ Z*eh`fk yi[&p–cŠdšg@jl™zgiVY`žp@pi[vgi`fjlk)«

Ÿ

[ yi[ ‚`b[

Ÿ

pijlZo[ mŠyijnm•[y–gq`b[&pjh™ÄVY[k

°§Å

df`f[pqp@pi[yq`b[&pWgiVŠehg

Ÿ

`fdbd

—;[]cŠpi[ s `bkgqVY[ p–[&ª=cY[dæzUWVY[][wam;jnpi`šgq`bjnk!`žpW—Šelpi[ s jlk©­oY«Pl€ ¯Ã«•ehk s db`fZo`šgq[ s VY[yi[±gij s yi`b™›gidf[pqp"p–tap–gi[Zop¦

ƒ m

@&† vzxaS&HJ@`z %2`žpe n[v¡gqjly

9 0j @ DNLMLNLD j 4 Ÿ `šgqV

| s [kYjlgi`fkY‹2e!p–giyq`fvgidft²m•j=p–`bgi`f l[L`fkngq[‹n[y&«Delk s

j @

DNLMLNLD j

`bk=gq[‹l[yqp"gqeh£n[k2`fk2giVY[pi[g E g

DNLMLNLFD

m O ¦ +R[ s [kYjlgi[]gqVY[ df[kY‹lgiV²jh™elp __š«;`G¦[l¦

9 0j @

DNLMLMLAD j 4

9

__

9 | ¦

+±`f l[k!mY`f[v[ Ÿ `žp–[ vjlk=gi`fk‚cYjlc•pK™¢cŠkŠv¡gq`bjnkŠp C @

DMLNLMLD

C ; s [¥ŠkY[ s jlk2p–jnZL[±gq`bZo[ °`fkngq[yq rehd.

G D }

«aelk s e m °   eldbcŠ[ s

ZcYdšgq`°`fk s [w

9 0j @

DNLMLMLFD

j 4 « Ÿ [ s [¥•kY[

3

C

9

3

3

3 C > 0q 4C

>

0q @ 4

C > 0q@ 4 q @

q 0q I .G D }4

L

¸º‡=»

+±`f l[k p–Zoj‚jhgqV² l[vgijny"¥Š[ds p B @ DNLMLNLFD

B ;

jlkQ, . «Dehk s e m °  eldbcŠ[ s ZcŠdšgq`° `bk s [w

9 0j@ DNLMLNLFD

j 4 « Ÿ [ s [¥•kY[]giVŠ[

| °

giV2jny

s

[y

s

`"!D[yq[k=gq`feldjlm;[y.ergijny

B 5$#&%:0 , . = , 4

"!

#&%:0

, . = , 4

—‚t

B 9 B > B >

B > L

¸º†=»

UWVY[™¢jndbdfj

Ÿ

`fkY‹mŠyijnm•j=p–`bgi`fjlk`fp"e*vdfenpipi`žvehdDyq[picYdbg]¸Gp–[[[l¦‹Š¦f­Pl€ ¯)™¢jlyWgqVY[]mYyqj‚jh™q»¦

'  Á)(¬Á

Ž+*›+*

Á),.-0/213546†z M# "H yB y a

01 3 4

`zJ(acH M

e87

, .:9; "' M#% $ %<

D G

& ":"'>=#@?

D} ; G

#=(yBA

? } h < D

¸u…‰=»

`z=# y (†#% C 9

0C

@ DMLNLMLD

C ; 4 ( M! %(&†&'u .G D

} `z M#=(yA

_C/0

q 4 _ h ? D 9 q I .G D }

D

¸u…l… »

"' uM&H

8 0L4 C=

01345D

!"

8

3FE

9f8 0GH4

I e D

MHG

8 0q 4 9f8

3 X = 0B

j 4%0

8

34

3

C>

D 9 q I .G D }

L

¸u…Pn»

I&H#"H #a #v

D

"H SM # S "' b#"A"@2"'z:z J=KCL$1M: &H=#abyx&H y (N M#OAU 9# 9 9 q I .G D }

`z

8 3 I e 9

@jhgi[±gqVŠerg"gqVY[ p–cŠZ `fk!gqVY[]yq`b‹nVng °V•ehk s p–`s []jh™[ª=cŠeldb`bgut¸u… Pl»velk!—;[ s [ l[dfjlm;[ s elp

%

=

?d@

;

=

>

PRQRQRQP

> ?A@

0B >

B >

j 4%0

8 3 4

3

3

3 C > 0q 4C

>

0q @ 4

C > 0q @ 4 q@

q L

K

[g¬cŠpzeldfpij9yq[Z*elyi£gqVŠergzgqVY["vjlk

s

`šgq`bjnk²¸u…‰=»¡«

Ÿ

VŠ`fv.VLyi[dfehgi[&p3gqVY["`fkngq[‹nyqehgi`fjlk gq`bZo[

°

`fk=gi[yq rehd‚gqj9gqVY[vjnk=giyqjld‚p–`f˜[n«l`žp

pim•[&v`b¥•vgij s yq`š™›gqdb[&pipOpitapugq[Z*p¦ Å jnyOepitapugq[Z Ÿ VY`žv.VLvjlk=gqel`bk•pe s yq`š™›gzgq[yqZ«r`bgz`fp w##nkYjlgOgiyqcY[KgqVŠerg s [&vyq[enp–`fkY‹

gqVY[9pi`b˜["jh™DgiVŠ[9vjnk=giyqjlda`fkYmYcag.peldbdfj Ÿ pgij `fkŠvyi[&elpi[WgiVY["gq`bZo[ °`fk=gi[yq rehd•jlk Ÿ VY`žv.VogiVY[[wamŠehkŠpi`fjlk²¸u… Pl»O`žp¬ rehdf`s ¦UWVŠ[

™ºenv¡gzgiV•ergOgiVY`žpOmYyqjlm;[yigut]VYjlds p™¢jny s yi`b™›gidf[pqpzp–tap–gi[ZopzvehkL—•[W ‚`f[ Ÿ [ s elpOevjlk•p–[&ªncŠ[kŠv[jl™Šgi`fZo[ °pivehdf`bkŠ‹9`fk‚  elyi`žehk•v[

mYyqjlm;[yigi`f[p¦

+©[ehyq[kYj Ÿ yq[e s t gijRpug.ergi[!p–caœv`b[kngLvjlk s `šgq`bjnkŠp cŠk s [y Ÿ VY`žv.V [wam•jnkY[k=gq`feldp–gqeh—Š`bdf`b˜&ergq`bjnk©yqjl—ŠcŠpug]gqj cYk °

Zoj s [df[ s2s t‚kŠelZo`fvpW`fp"‹nyqelk=gi[ s ¦

SUT ½‚Á  ½ -V6†z M#S\`yBS(y v†#% (y a

02134JD

` M"A"%#("'Nz 0 J= "H S#"A\:, . D

`z$W=(&H M

C I # 3 00 ] .G D }= , ; 4

9X v&Ha i"'

L 9

"H #v S v(

& D e D G

(& " "'p_

Cd0

8

Dvq

4 _ h e _8 _"

=#S 08

Dvq

4 I 0 ].

G D }WOD

1 9 "' u&H

8 0 L4 J=

7

8:9 ;

=>

?A@dB

> 08

4C

> 08 3

Dvq

4 D 8

0G4

9 8 3 I 0 D

¸u…&€n»

MHG

8

0}i4

9 8 3 X 08 3 4

!"ƒ z M#% M2 A@22U a # D

3 9 =# †y ab&HJ@`z v J=i MA "x_F_

h g

&

K2"Uu((&Hac\ †y ` ( (z (z "H

&($

g M D

3

C 08 4 9 08 4

¸u…\=»

;

"H D A M @=aSyxC= H M#&H#N% (z (y aS 021

V

4JD "H #v b v [ 3 D G & "-"H "H #"A ZC= 01 V 4 (†#% (z

y C/0

D%q

4 (y: %M y 2U :=#Sy [ I 0 [ 3 D [ 3 4 9

'  Á)Á“ |gZcŠv.V2yi[db`f[pWjnkgqVY[™¢jldfdfj Ÿ `bkY‹ovdžeh`fZ2¦

%¢‘ * -p

[ @ D G D

"' M#% b %

D G

(& ":"'

D

=# _8 3 _ h

`z _[ _ h [ @ D

"H iM&H C=

7

8:9 ;

=>

?A@

0 B >08 4FXkY

>

0[

D 8 4 4UC

> 08 3

Dvq

4 D 8

0GH4

9f8

3

¸u… rl»

z Gl` (z .G D

}W

z MHG

8

0}i4

9 8 3 X 3

0[

D 8 3 4X

1

0[

D 8 34`X

08 34

¸u…on»

!"

_3 0[

D 8 3 4 _

_8 3 _ ! G [ ! G

&H†=#aSy

8 3 0 _8 3 _ h 4

¸u…rh»

_1 0[

D 8 3 4 _

_8 3 _ ! G

8 3 ! G &H†=#aSy [ 0 _[ _ h [ @ 4 L

¸u…&‡n»

¸Gxzyqj=jl™`fk²ƒmYm;[k s `šwŠ»

” w‚`žp–gi[k•v[jl™OgiVY[Lp–jndbcagq`bjnkŠpjl™zgiVY[Lp–tap–gi[Z 0 1 V 4

vjlk=gqyijndbdf[ s —‚t Cd0

Dvq

4 « Ÿ VY[k²gqVY[`fkY`bgi`žehdOvjnk s `bgi`fjlkŠp

8 3 ehk s

3

ehyq[]vdfjnpi[][kYjncY‹lV!gij*gqVY[ jnyi`f‹l`fk)«Yvelk2[elpi`fdbt!—•[ [&pug.eh—Ydf`žp–VY[ s ¸s [gqeh`fdžpehyq[db[™›g@gijogqVY[ `fk=gi[yq[p–gi[ s yi[&e s [y.»jlk•v[

`bg `žpmYyijr n[kgiVŠehg]giVY[&p–[*pijldfcagi`fjlkŠp]ehg]db[&elp–g[wa`fp–g]jlkepiZ*ehdfdOgi`fZo[ ° `bk=gi[yi reld¬ehk s ehyq[LcYkY`b™¢jlyqZLdft —;jlcYk s [ s©Ÿ `bgiV

yq[pim;[v¡g9gij

8 3

ehk s 3 ¦ ” wa`žpugq[kŠv[jlkRepiZoeldbdgi`fZo[ °`bk=gq[yq  eld`žp±`bk ™ºelv¡g‹ly.ehk=gq[ s —‚t²ehmYmYdf`žvergq`bjnk jh™Kx¬yijnm•j=p–`bgi`fjlk

…*¸Gelp"`fdbdfcŠp–giy.ergq[ s `bkgiVŠ[]mYyij‚jl™jh™¬Ädfel`bZ …&»« Ÿ VY`bdf[]cYkY`b™¢jlyqZ%—;jlcYk s [ s kŠ[pqp"jh™giVY[ pijldfcagi`fjlk•p"p–`fZomYdbt!yi[&p–cŠdšg.p™¢yijnZ

gqVY[]mYyqjlm;[yigutjh™W¸¢dfjavehd›»Wp–gqeh—Š`bdf`šgut Ÿ VY`fv.V`žp"mYyqjr l[k!—•[dbj Ÿ ¦

|§kRjly s [y9gijmYyqjr l[giVŠehg±gqVY[Ljlyq`b‹n`bkRjh™¬gqVY[*p–tap–gi[Z 01FV(4

vjnk=giyqjldfdb[ s —‚t Cd0

Dvq

4

`žpdfj‚vehdfdbt ¸ºcYkY`b™¢jlyqZLdftY»9[wam•j °

kŠ[k=gi`žehdfdbtTp–gqel—Ydf[l«¬jnkY[!ZcŠp–gL[&pug.eh—Ydf`fpiVTgqVŠergo`›»]gqVY[²p–jndbcagq`bjnkŠpjh™gqVY`fp*pitapugq[Z vjnk‚ l[yq‹l[[wam•jnkY[k=gq`feldbdft©gij©˜[yqj

¸ºcYkY`b™¢jlyqZodbt Ÿ `šgqVyq[pim;[v¡g"gqjLgiVY[ `fkY`bgi`žehd)vjlk s `bgi`fjlk•p

0q3 D8 3 D 34

»«Šehk s `f`›»giVY[]jnyi`f‹l`fk!jl™3gqVY[vjnk=giyqjldfdb[ s pit‚p–gi[Z%`žp

p–gqel—Ydf[l¦

_a`bkŠv[ `fpe s `fpqvyq[gq[ °pug.eh—Ydf[Z*ergqyi`bw«"giVŠ[yq[[wa`žpug.p!e´m•j=p–`bgi`f l[ s [¥•kY`šgq[RZ*ehgiyq`šw picŠv.V¹giV•erg _b_ $ g

¸ $ g 5 _ 8 _ h _8 _¬»¦ Å jnygqVY[ piel£l[ jl™p–`fZomYdf`š™¢t‚`fkY‹´gqVY[kYjhg.ergq`bjnk)«@ehk s £l[[mY`fkY‹¨`bk Zo`bk s giVŠehg

picY—Špi[ª=cY[k=gkYjnyiZo[ s  l[&v¡gqjly.p Ÿ `fdbdyq[™¢[ygijgiVY[kYjnyiZ'`fk s cŠv[ s —‚togiVY[Z*ergqyi`bw o« Ÿ [ Ÿ `fdbd‚{ucŠp–g s yqjlmgqVY[`bk s [w

`fkgiVY[]yq[Z*el`bkY`fkY‹ojh™giVY[]mŠyij‚jh™u¦

* ½ (KÁ),½ , *¢‘ %W’ Á),;½  ½ , ’ ½

K

[g

q3 I .

|3}

D

0|3†X

g

4}i4 0|3

Ix~

4

«;ehk s 08 V0

LD%q 3 D 8 3 D

34

D V0

LD%q 3 D8 3 D

34 4 s [kYjhgq[gqVY["p–jndbcYgi`fjlkLjh™YgqVY[vjnkngqyijndbdf[ s

pitapugq[Z 0 1FV(4

Ÿ `bgiV`fkY`šgq`feld@vjnk s `bgi`fjlkŠp

0q3 D 8 3 D 34

¦¹UWVY[k®™¢jnyehk‚t

| I ~

picŠv.V¨giVŠehg

q3 h

|'}

«ehk s ehk‚t

q I

.

|'}

D

0|iX

g

4}i4

«‚giVY`žppijldfcagi`fjlk2pqergi`žp–¥Š[p

7

8-9 ;

=>

?A@

0B > 08 4XkY

>

0[

D8 44C

> 08

0|'}u4

D%q

4

7

9 G D 0q 4

9W8 02|'}i4

¸u…†=»

|§kRjly s [y"gqj!piVYj Ÿ giVY[L[wam;jlkY[k=gi`žehdvjlk‚ l[yi‹n[kŠv[gij!˜[yqjjl™zgiVY[giy.er{u[vgijnyi`f[p@jh™@¸u…&†n»«•`bg±`žp±vdf[ehyqdft!picaœv`f[k=g9gqj

piVYj Ÿ gqVŠerg"gqVY[

8

vjlZom•jnkY[k=gvjnk‚ l[yq‹l[&p[wam•jnkY[k=gq`feldbdft*gijLgqVY[ jlyq`f‹l`fk)¦O|§k ‚`f[ Ÿ jh™yi[dfehgi`fjlkŠp]¸–…Non»° ¸–…‡=»K`fkĝdfel`bZ

…n«agiVY[yi[[w‚`žp–g

[ 3 D G « 3 D G

«Yehk s eLm•j=p–`bgi`f l[yq[eldk=cŠZ—;[y

$ g picŠv.VgiVŠehg«a™¢jny _8 3 _ h 3

elk s [ h [ 3

_8 V 0%0|uX

g

4}

D%q

3 D 8 3 D 3 4 _ h _8 V 02|'}

Dvq

3 D 8 3 D 3 4 _ D

9F| D | 3 L

¸Ph‰=»

UWVY`žp*ehdfyq[e

s t [p–gqeh—Šdb`žp–VŠ[pgiVŠehg*giVY[²pi[ª=cY[kŠv[ E

8

V02|'}

D%q 3 D 8 3 D

34 O

vjlk‚ n[yq‹l[p[wam;jlkY[k=gi`žehdfdbtgqj©˜[yqjŠ«¬cŠkY`

°

™¢jnyiZodft

Ÿ

`šgqV²yi[&p–m;[vgWgijLgiVY[]`fkY`bgi`žehd3vjlk

s

`šgq`bjnkŠp

0q 3 D 8 3 D 34

¦

|§kjly s [y9gqj2`bka™¢[y]cYkY`b™¢jlyqZ [wam;jlkY[k=gi`žehd¬vjnk‚ l[yq‹l[kŠv[gij2˜[yijjh™

8

V0

q(D%q 3 D 8 3 D

34 «3`bg `fp±gqV=c•p]p–caœv`b[knggqj2piVYj Ÿ

gqVŠerg

_8 V 0|H} X

D%q

3 D 8 3 D 3 4 _ h e _8 V 0|'}

D%q

3 D 8 3 D 3 4 _ D 9

I .G D }i4

D

9|

D | 3 D

¸Pa… »

™¢jnyp–jnZL[m;jnpi`šgq`b n[]vjlk•pug.ehk=gqp

e

ehk s `bk s [m;[k s [k=g@jh™

q 3 « 8 3 « 3

¦K_‚`fkŠv[

C

`žp

} °m•[yi`fj s `žv

8

V0|'} X

Dvq 3 D 8 3 D

34

9f8 V0

D G D 8 V0|H}

D%q 3 D 8 3 D

34

D V02|'}

D%q 3 D8 3 D

34 4

9f8 V0

D G D 8 V0|H}

D%q 3 D 8 3 D

34

D 8 VM0|'}

Dvq 3 D 8 3 D

34%4

L

UWVY[yi[™¢jlyq[l«)¸Pa…&»`žpW[ª=cY`f rehdf[k=g"gij

_8 V 0

D G D 8 3 D 8 3 4 _ h e _8 3 _ D 9

I .G D }i4

L

¸P Pn»

Å yijnZ%ƒ@pqp–cYZomagq`bjnkR…n«aehk s giVY[vjnk=gi`fk=cŠ`šgut*jl™3giVŠ[9 n[v¡gqjly¥Š[ds p B >

«Yehk s Y >

«‚giVŠ[el—•jr n[@`fkY[ª=cŠeldb`bguto™¢jldfdfj Ÿ pK—‚togiVŠ[

vdfenpipi`fvehdH+±yqjlk Ÿ eldbdDdf[ZoZ*eY¦

*H* , *Á  Ž&‘Y&*%H*› ¾ Á  T ½²Á $*)*,

+©[ s `žpugq`bkY‹ncY`žp–Vg Ÿ jovelpi[p«aelvvjly s `fkY‹gqj Ÿ VY[gqVY[y

q 3

`žp«ajly"`žpWkYjhg&«ŠeLZcYdbgi`fmYdf[]jh™

} ¦

( M L

q 3

`fpkYjhgeLZcYdbgi`fmYdf[]jh™

} ¦

UWVY[k*giVŠ[yq[[wa`žpug.p

| 3

I-~

picŠv.VogiV•erg

| 3 } $ q3 $ 02| 3 X g 4}

¦UWVY[yq[@eldfpij][wa`žpug.pKehk*jnm•[k*—Šehdfd

V I , .²v[k=gq[yq[ s

jnk!‰Lp–cŠv.VgiVŠehgWgiVY[9™¢cYkŠvgi`fjlk

0

q(D%q

3 D 8 3 D 3 4

! 8 V 0

q(D%q

3 D 8 3 D 3 4

`fpWvjnk=gi`fk=cŠjlcŠpjlkgiVY[]pi[g E 0

q(Dvq 3 D 8 D

4Z5

q 3 h q h

02| 3 X g 4}

Dvq 3 I

0| 3 } D 02| 3 X g

4}i4

D 8 I V D I V O

¦¬UWVY[yi[™¢jlyq[l«=giVY[™¢cŠkŠv¡gq`bjnk

V s [¥ŠkŠ[ s —‚t

V 08 3 D 3 4:E

9

P

@

P

@ _8 V 0 q(Dvq

3 D 8 3 D 3 4 _ ¸Ph€=»

`žpz`bgqpi[db™vjlk=gi`fk‚cYjlc•pjnk

V

]

V ¦ jlgi[WgiV•erg V 0G

D

GH4

9 G

«npi`fkŠv[

8 V 0

q(Dvq 3 D G D

G4

9 G « 9

q;kq

3

«nehk s gqVŠerg

08 3 D 3 4 ;

_8 3 _¦ Å cYyigiVY[yiZojlyq[l«YgiVY[yi[ [wa`fp–gqp

V D G

p–cŠv.VgqVŠerg

V 08 3 D 3 4/$

m$j µ 0g

D "!$#

4 « 9/0

8 3 D 3 4 5 _8 3 _ h V D _ 3 _ h V «

Ÿ `bgiV

"!$#

s [kŠjhgi`fkY‹ogqVY[]yqe s `fcŠpjh™%

V

¦¬}"[vehdfd)ehdžp–jgiVŠehg

_ V 0

q(Dvq

3 D8 3 D 3 4 _ 9 _ 3 _ D 9 q3 I 0| 3 } D

0| 3 X g 4}u4

D 9 q I .q3 D 02| 3 X g

4}i4

L

¸Pr\‚»

@j Ÿ «Yp–`fkŠv[]—‚t¸Ph‰=»elk s ¸PY…&»

_8 V 0

q(Dvq

3 D 8 3 D 3 4 _ h e _8 V 0%0| 3 X g 4}

D%q

3 D 8 3 D 3 4 _ D 9

q<;

02| 3 X g 4}

D

elk s _ V 0

q(Dvq

3 D 8 3 D 3 4 _ h _8 V 0 02| 3 X g 4}

Dvq

3 D 8 3 D 3 4 _ D 9 q ;

0| 3 X g 4}

D

jnkY[ s [ s cŠv[&pW™¢yijnZ³¸Pl€n»ehk s ¸Pr\‚»9¸ºcŠpi`bkY‹*eldfpijLgiVY[™ºenv¡gWgiVŠehgS_

08 D 4 _ h _8 _ X _ _»giVŠehg

_8 V 0

q(Dvq

3 D 8 3 D 3 4 D V 0

q(Dvq

3 D 8 3 D 3 4 _ h e V 08 3 D 3 4 X

m

8 0 V 08 3 D 3 4 D _ 3 _4 D

9

q<;6q

3 D 9 08 3 D 3 45

_8 3 _ h V D _ 3 _ h V L

¸Prl»

( U1 q3

`žpeLZcYdbgi`fmYdf[]jh™

}

¸¢`æ[l¦

q 3 9 | 3N}

»¡¦

UWVŠ[k

0GH4

9 8 3

«Šehk

s

jnkY[[elpi`fdbtjn—agqel`bk•pW`bkgiVŠ`fpvelpi[

_8 V 0

q(D%q

3 D 8 3 D 3 4D V 0

q(D%q

3 D 8 3 D 3 4 _ h e _8 3 _ X _8 3 _ D 9

q;kq

3 D 9 08 3 D 3 4W5

_8 3 _ h V D _ 3 _ h V L

¸P on»

UWVŠ[@vjnZLm•ehyq`fpijlkLjh™DgiVŠ[yi`f‹lV=g °VŠelk s p–`s [&pzjh™`fkY[ª=cŠeldb`bgi`f[p¸P rn»zehk s ¸Pon»¬p–VYj Ÿ pgqVŠerg¸Prl»VYjnds p¬`bko™ºenv¡g¬™¢jnyK[ n[yqt

 reldbcY[]jl™

q3 ¦

# $ "

UWVŠ`fpzpi[vgi`fjlke sYs

yq[pqp–[&p)gqVY[WmYyijn—Ydf[Z~jh™;vjlk•pugqyicŠvgi`fkY‹@[wamYdb`žv`bg¬vjnkngqyijndbdf[y.pgqVŠergzZo[[ggqVY["vjnk

s

`bgi`fjlkŠpjh™;UWVY[jnyi[Z

…n¦L_‚c•v.VRevjlk=gqyijndbdf[y±VŠelp9gqj!—;[dfjlkY‹!gijgqVY[Lpi[g]jl™K[wam;jlkY[kngq`feldzpug.eh—Y`fdb`f˜[yqp9™¢jny9gqVY[o[w‚gi[k s [ s

pit‚p–gi[Z 01F34

¦Lƒ

vjlZoZojlkelmYmYyqjnenv.V)«Y™¢jny@jl—Ygqeh`fkY`fkY‹jl™Kvjnkngq`bk‚cYjncŠp¸¢gi`fZo[ °  elyit‚`fkY‹=»"™¢[[ s —Šelv.£2vjnk=giyqjld3dže Ÿ p Ÿ VŠ`fv.V [wam•jnkY[k=gi`žehdfdft

p–gqel—Y`fdb`f˜[Le s yq`š™›gqdb[&pip±vjnk=giyqjldpitapugq[Z picŠv.Velp 021

3 4 «)vjlkŠpi`žpug.p`fkRvjnkŠpi`s [yi`fkY‹ekY`fdbm;jhgq[k=gS"Ha 5AU M` (&' ( `#%M @

a ²jl™¬giVŠ`fp]pitapugq[Z ehk s ¥Šk s `bkY‹²evjnkngqyijnd Ÿ VŠ`fv.VR`ž»±elpit‚Zomagijlgi`žvehdfdft pug.eh—Y`fdb`f˜[&pgqVY[ojlyq`b‹n`bkRjh™¬gqVY`žp]p–`fZomYdb[y

pitapugq[Z «3elk s `f`›»@Z*el£l[p@giVŠ[ovjlyqyi[&p–m;jlk s `bkŠ‹!vjnk=giyqjldfdb[ s p–tap–gi[Z VYjlZojl‹n[kY[jlcŠpbC= z A #% ( S M#%r¦LUWVY`fpelmYmYyqjnelv.V

`žpO{ucŠp–gi`b¥Š[ s —=tgiVY[ ™ºelv¡g"gqVŠerg±ehk‚tgq`bZo[ ° rehyqt‚`bkY‹*vjlk=gi`fk‚cYjlcŠp™¢[[ s —•elv.£[k s j Ÿ [ sŸ `šgqV2giVY[&p–[gŸ jomYyqjlm;[yigi`f[p"`žpe

dfjaveld[wam•jnkY[k=gi`žehdzp–gqel—Y`bdf`f˜[y9™¢jly±gqVY[ojlyq`b‹n`bkŠeldpitapugq[Z2¦ s@j Ÿ [ l[y&«Delp±m•jn`bk=gq[ s jncag]`bkgiVY[omŠelm•[y¤p±`bk=gqyij s cŠvgi`fjlk

elk s p–VYj Ÿ k®`žp2­b… P&¯Ã«WpicŠv.V®eR™¢[[ s —Šenv.£´velkYkYjlgo—;[ eRyijn—YcŠp–g*p–gqel—Y`fdb`f˜[y*`bk¨giVY[ pi[k•p–[giV•erg Ÿ [²elyi[²vjnkŠpi`s [yi`fkY‹

VŠ[yq[l¦ @jlkY[giVY[db[&pip« Ÿ [ Ÿ `fdbdOpiVYj Ÿ —•[dbj Ÿ giV•erg@gqVY[pqehZo[]gut‚m;[jl™KehmYmYyqjnenv.V)«ŠelmYmYdf`b[ s giVY[giVY[[w‚gi[k s [ s p–tap–gi[Z

013 4

«3`fkŠp–gi[&e s jh™giVY[*jnyi`f‹l`fkŠeld¬p–tap–gi[Z 0213 4

«mYyijr ‚`s [p]e2pitapugq[Z*ergq`fv Ÿ e t²jh™"vjnkŠpugqyic•v¡gi`fkY‹2[wamYdf`žv`bgehk s yqjl—YcŠp–g

gq`bZo[ °m;[yq`bj s `žvo™¢[[ s —Šenv.£ap Cd0

Dvq

4 ¦ 2jlyq[omYyq[v`žpi[dftl« Ÿ [ Ÿ `fdbdp–VYj Ÿ giV•erg«‹l`f l[k ehk e s [&ª=cŠergq[LVŠjlZojl‹n[kY[jlcŠp]elm °

mŠyij wa`fZoehgi`fjlkjh™

021F34

«•giVŠ[p–[g@jh™zvjnk=gi`fk=cŠjlcŠpWgq`bZo[ °m;[yq`bj s `žv±™¢[[ s —Šenv.£‚p Cd0

8 D

Dvq

4 Ÿ VY`žv.V²[wam•jnkY[k=gq`feldbdft!p–gqel—Y`bdf`f˜[

gqVY["jlyq`f‹l`fkjh™;giVŠ[vjlyqyq[pim•jnk s `fkY‹@[w=gq[k s [ s p–tap–gi[ZIvjnkng.eh`fkŠpOep–cY—•p–[g¬jh™•yqjl—ŠcŠpug¬p–gqel—Y`bdf`f˜[y.p«lehk sŸ [ Ÿ `fdfdYmYyqjr =`s [

eopitapugq[Z*ergq`fv±mYyqjav[ s cYyi[±™¢jnyvjlk•pugqyicŠvgi`fkY‹o[df[Zo[k=g.pgiVŠehg—•[dbjnkY‹LgijLgiVY`žppicY—Špi[g&¦

+©[LVŠe  l[v.VŠjnpi[k2gij

s

[&vjlZom;jnpi[ gqVY[

s

[ l[dbjnmYZo[k=gqp9t‚`b[d

s

`fkY‹gij!giVY`žp@yq[picYdbg±`fk²gqVYyi[[Lp–gi[mŠp«;jnkY[picY—Špi[vgi`fjlk

m;[y"p–gi[m)¦¬_=gi[m…@yq[ ‚`f[

Ÿ

pK—Šelpi`fv

s

[¥•kY`šgq`bjnkŠpWehk

s

™ºelv¡g.pel—•jncagWVYjlZojl‹n[kY[`šgutoehk

s

VYjlZojn‹l[kŠ[jlc•pKehmŠmYyij wa`fZ*ergi`fjlk•p«

mŠyi`fjlygqjm;jl`fk=gi`fkY‹2jlcagelk©e sYs

`bgi`fjlkŠeld¬p–cYœ*v`b[k=gvjlk

s

`šgq`bjnk)«3p–gqehgi[

s

`fk©UWVŠ[jlyq[Z Pa«)cYk

s

[y

Ÿ

VŠ`fv.Ve2vjlk=gq`bk‚cYjncŠp

™¢[[ s —•elv.£ C/0

D%q

4 Ÿ VY`žv.Vyqjl—ŠcŠpugqdbt][wam•jnkY[k=gi`žehdfdft pug.eh—Y`fdb`f˜[&pgiVY[Wjlyq`f‹l`fkjh™De@VŠjlZojl‹n[kY[jlcŠpehmYmŠyij wa`fZoehgi`fjlk jl™ 0 1 3 4 «

—‚telmYmYdf`fvergq`bjnkjh™OUWVY[jnyi[Z …l«Yeldfpijyqjl—ŠcŠpugqdbt*[wam•jnkY[k=gi`žehdfdftpug.eh—Y`fdb`f˜[&pgiVY[jlyq`f‹l`fkjh™ 01 3 4¦K_‚gi[mxPmYyqjr =`s [&p¬gqVY[

[wamYyi[&pipi`fjlk jl™;evjnkngqyijnd=pijldfcagq`bjnk Ÿ VY[k 01 3 4

vehk—;["ehmYmŠyij wa`fZoehgi[ s —‚te "'` (zWpit‚p–gi[Z2¦UWVY[WmYyqj‚jh™Šjl™;p–gqel—Y`bdf`bgut

elk s yijn—YcŠp–gikY[&pip{ucŠp–g@vjnkŠpi`fp–gqpW`fk2 l[yq`b™¢t=`fkY‹giVŠehg"giVY`žpvjlk=giyqjldpqergi`žp–¥Š[pgqVY[™¢jlcYyvjlk s `šgq`bjnkŠp"pug.ergq[ s `bk²UWVY[jlyq[Z*p

…Lehk s Pa¦UWVY[mŠyijnm•j=p–[ s vjlk=gqyijnd3dže Ÿ `fp±ª=cY`šgq[Lpi`fZLmŠdb[n«Delk s `bgelmYmYdf`b[&pgqj!elk=t s `fZo[kŠpi`fjlk)¦ jlgi[oehdžp–j*gqVŠerg`bg9`žp

s `"!D[yq[k=g™¢yqjlZ giVY[jlkY[ mŠyijnm•j=p–[ s `fk ­f…¯3™¢jny9e*v.VŠel`bkŠ[ s pit‚p–gi[Z jl™ s `bZo[k•p–`fjlk2™¢jncYy¦ Å `fkŠehdfdbtn«;p–gi[m € s [pqvyq`f—•[&p@e

‹n[kY[yqeldnvjlk=giyqjld s [pi`f‹lk mYyqjav[ s cYyq[ Ÿ VY`žv.VehmŠmYdb`f[p3gijehk‚t s yq`š™›gqdb[&pippit‚p–gi[Z 02134

¦OUWVY[mYyijav[ s cYyq[zg.eh£l[&pe s  rehk=gqel‹l[

jl™Y£‚kYj Ÿ kgi[&v.VYkY`žªncŠ[p3™¢jly3kŠ`bdfm•jlgi[kngzvjnk=giyqjldnpitapugq[Z*p)—•elpi[ s jlk giVY[cŠp–[jh™Yj=piv`bdfdfehgijnyit9jlm;[k °dbj‚jnm vjlk=gqyijndfp3`bk jny s [y

gqjenv.VY`b[ l["kY[gZojhgq`bjnk*`bk!ehk‚t s `byq[vgi`fjlk*jh™DgqVY[9p–gqehgi[9pimŠenv[l¦kY™¢jlyigicYkŠehgi[dbt2¸ºelk s cYkŠe  njl`s eh—ŠdbtY»¡«hgiVY[9mYyijav[ s cYyq[

eldfpij©`bkYVŠ[yq`šg.pgqVY[²vjnZLmŠdb[w‚`bgut jh™9giVY[²el—•jr n[Zo[k=gi`fjlkŠ[ s gq[v.VYkY`žª=cY[p«¬`bgqpi[db™ s `fyq[v¡gqdbt´yi[dfehgi[ s gijRgiVY[2mYyqjav[&pipjh™

pi[df[vgi`fkY‹ gqVY[wRuyq`b‹nV=g T ™¢yi[&ª=cY[kŠv`b[&p Ÿ VŠ`fv.V™ºelv`fdf`šg.ergi[±Zojhgq`bjnkZojlkY`bgijnyi`fkY‹ `fkgqVY[±p–gqehgi[p–m•elv[n¦@kŠpicYyimŠyi`žp–`fkY‹ndbtn«lgqVY[

pi[df[vgi`fjlk jl™¬giVŠ[pi[™¢yq[ª=cY[kŠv`f[p9‹l[gqp±ehdfd3gqVY[Zojnyi[`bk‚ ljndb n[ s gqVŠerg]vjnkngqyijndbdžeh—Š`bdf`šgutjh™KgiVY[op–tap–gi[Z¶yq[df`f[p9jlkVŠ`b‹nV °

jnys [y

K

`f[o—Yyqenv.£l[gqp9jh™KgqVY[vjnk=giyqjld l[vgijny9¥•[ds p¦ 9kY[*velk©eldfpij l[yq`b™¢t2giVŠehg±gqVY[*mYyqjlm;jnpi[ s ‹l[kŠ[y.ehdmYyijav[ s cYyq[

t‚`f[d

s

pKvjlk=giyqjldŠ[wamYyq[pqp–`fjlkŠp

Ÿ

VY`fv.Velyi["Zojnyi[@vjlZomYdf`fvergq[

s

giV•ehkogiVŠ[@jlkŠ[mYyqjlm;jnpi[

s

`bkp–gi[m:Pa«=`fkogiVY[±p–m;[v`š¥•v@velpi[

Ÿ

VŠ[kRgiVY[op–tap–gi[Z 021

3 4

vehkR—•[oehmŠmYyij wa`fZ*ergi[

s

—‚t e!v.V•eh`fkY[

s

p–tap–gi[Z2¦UWVŠ`fp±`žp±e!‹lj‚j

s

`fdfdbcŠp–giy.ergq`bjnk jh™giVY[™ºelvg

gqVŠerg]UWVY[jlyq[Z*p …Lehk

s

Pvelk —•[LcŠpi[

s

`fk relyi`fjlcŠp

Ÿ e tap™¢jly±yijn—YcŠp–g9vjnkngqyijnd

s

[pi`b‹nk²mYcYyqm•j=p–[&p9elk

s

giV•erg]p–`fZomYdb[y

pijldfcagq`bjnkŠpvehk!—•[±jl—ag.eh`fkY[ s —=t*—;[gigi[y[wamYdbjn`šgq`bkŠ‹ giVŠ[9`fkYkY[yWp–giyqcŠvgicYyq[@jl™giVY[]pit‚p–gi[Z2¦ Å jly`bk•pug.ehkŠv[l«=giVY[vjnk=giyqjld

pijldfcagq`bjnk jh™"pugq[mZPg.eh£l[&p e s   elk=gqeh‹n[ojh™"kYjlk °cYkŠ`fª=cY[kY[pqp]jh™ s `fdfehgi`fjlkŠp Ÿ VY`žv.Vvehk —;[elpqpij‚v`fehgi[ sRŸ `bgiVTv.V•eh`fkY[ s

pitapugq[Z*p« Ÿ VY`fdb["gqVY[‹n[kY[yqeld s [pi`b‹nkmŠyijav[ s cYyq["jh™pugq[m€`žp¬velyiyq`f[ s jlcagKjnkYdft ™¢jlyOgqVY[@pij ° veldbdf[ s 2`z #%z zŠ«

gqVY[@`fk=gi[yq[p–g¬jh™

Ÿ

VY`žv.Vo`fp¬giVŠehgK`bgvelk*—•[@pitapugq[Z*ergq`fvehdfdbt

s

[gq[yqZL`fkY[

s

™¢yijnZIgqVY[@vjnk=giyqjld‚¥Šdbgiy.ergq`bjnkelpqp–jav`žergq[

sŸ

`šgqV

gqVY[ p–tap–gi[Z¦¬ƒ@mŠehyigW™¢yijnZ'giVŠ`fp«agiVŠ[g

Ÿ

j*pijldfcagi`fjlkŠpWV•e  l[±Zoelk‚t*™¢[ehgicYyq[pW`fk²vjlZoZojlk3¦

! "#$%&'()* +-, .% 0/1* .)20" 3,

+±`f l[k54 D G

ehk s e l M"A"U: M#

9 0 @

DNLMLNLD

. 4 ¸ > D G29

j»¡«‚e:z

6

7

`žpe]Z*elm*™¢yijnZ , . gijS, . s [¥ŠkY[ s

—‚t*

67 098

@ DMLMLNLFD

8 . 4 9 04 6 8 @ DNLMLNLFD

4 6":

8 . 4 L

ƒ ™¢cŠkŠv¡gq`bjnk

BQI

# 3 0, . = , 4

`žp "'a AU v&'SC=bz A#v v ; !"-#% "' =aby$J=Sz

67 04 D GH4

«Šjly&«

Zojlyq[]vjnkŠv`žp–[dbtn«

6 ° "'a A M` (&'uJ=uz A #% ( ;§«Y`b™

9 4 D G D B 0 67 0<8H4%4

9

4>=

B

0<8H4

L

ƒ 6 ° "'a A M` (&'c`#a velk*—•[ s [¥•kY[ s enpKe]m;jnpi`bgi`f l[ s [¥ŠkY`bgi[@™¢cYkŠv¡gq`bjnkjh™

8 « 6 °VŠjlZojl‹n[kY[jlcŠpOjl™ s [‹lyq[[@jlkY[n¦

ƒ@dšgqVYjlcY‹nVgqVY`žpW`fpkYjlg"e RugiyqcY[ T kŠjlyqZ Ÿ VY[kgiVY[ Ÿ [`f‹lV=gWvj‚[œv`f[k=gqpWelyi[±kYjhg"ehdfd[ª=cŠeldG«‚`bgpugq`bdfdmYyqjr =`s [&peZo[ehk•p

jl™FR–Zo[elpicYyq`bkŠ‹ T giVŠ[ p–`f˜[]jl™

8 ¦

ƒ vjlk=gq`bk‚cYjncŠp n[v¡gqjly"¥•[ds jlkQ, . `žp

6 ° "Ha 5AU (&'bJ=Sz A #% (

`b™u«Š™¢jny9ehdfd

j 9 g

DMLNLMLFD

µz«ŠgqVY[ ™¢cYk•v¡gi`fjlk

8

"!

>08 4

`fp

6 °VYjnZLjn‹l[kY[jncŠpojh™ s [‹lyq[[

> X

¦Iƒ"vvjny s `fkY‹gqj giVY[&p–[ s [¥•kY`šgq`bjnkŠp«"VYjlZojl‹n[kY[`šgut¨`fpvj‚jnys `fkŠehgi[

s [m•[k s [kng&«KVYj Ÿ [ n[y `bgo`fpLm;jnpqp–`f—Ydf[gij s [¥ŠkY[!giVY[2eh—;jr l[vjlkŠv[mag.p`fk¨e©vj‚jnys `fkŠehgi[`fk s [m•[k s [k=go™¢y.ehZo[ Ÿ jlyq£

­‚«)…&‡ ¯¦

UWVY[¬™¢jldfdbj Ÿ `fkY‹"mYyqjlm;[yigut@`žp)cŠpi[ s [w‚gi[k•p–`f l[dbt9`bk]gqVY[Kpi[ª=cY[dG¦ +±`b n[k e™ºehZo`fdbtjl™ s `bdžergq`bjnkŠp

67

¸?4 D G

»¡«repiZLj‚jlgiV

™¢cYk•v¡gi`fjlk

B

ehk s epiZoj‚jhgiV© l[&v¡gqjly9¥Š[ds( « 6 °VYjlZojn‹l[kŠ[jlc•p@jl™ s [‹lyq[[ s [‹

0B 4

ehk sRs [‹

0 4

yq[pim•[&v¡gq`b n[dftl«DgiVŠ[

™¢cYk•v¡gi`fjlk B

`fp

6 °VŠjlZojl‹n[kY[jlcŠpjh™ s [‹nyi[[

s

[‹

0 B 4 9 s

[‹

0 4`X s

[‹

0B 4 L

Å `fkŠehdfdbtn« Ÿ [ pqe togiV•erg"giVŠ[ p–tap–gi[Z

7

8 9 ;

=>

?d@

@ >

0984C

>

¸Pnl»

`žpe

6 °

"'a A M` (&'u `#%Ma jl™

01 3 4

`b™?

…l¦giVY[ v.V•ehkY‹n[9jl™Ovj=jny s `bkŠehgi[&pA

5 8

"!

8

giy.ehk•pu™¢jnyiZ*p 021 3 4

`fkngqj

7

8

9<;

=>

?A@

0@ >

0984`X

>

0984 4 C > D

¸Ph‡=»

Ÿ VY[yq[ @ >

`fp

6 °VYjnZLjn‹l[kY[jncŠp¬jl™pijlZo[ s [‹lyq[[ >

$6G

«‚elk s > s [kYjlgi[pVY`f‹lVŠ[y ° jnys [y¬gq[yqZop«‚`G¦[l¦¬picŠv.VgiVŠehg

>PB

¸›gqVY[C

°

gqVvjlZom;jlkY[kng"jl™%

>

»Wpiehgi`žpu¥Š[&p

>PB 9 0ED

6GF

HJI

4 D 0C 9 g

DNLMLNLFD µ 4 L

¸Ph†=»

Ÿ VY[yq[

D

`fp@e

6 °VŠjlZojl‹n[kY[jlcŠpkYjlyqZLK

Pa¦giVY[ pitapugq[Z³¸Pnl»K`žpvjlk=giyqjldfdfel—Ydf[l¦

s@[yqZL[&p]­€r ¯ «Šehk

s

_=gq[™ºelkY`¬­€Ph‰r¯VŠe  l[]piVYj

Ÿ

kgqVŠerg@elk‚t

s

yq`š™›gqdb[&pip@p–tap–gi[Z 021

3 4

piehgi`žpu™¢t‚`fkY‹ogiVŠ[

K

ƒ@}ÄI¸

K

`b[ƒ@db‹n[—Yy.e

}elkY£Äjnk

s

`bgi`fjlk•»ehg]giVY[jlyq`b‹n`bk¸Pn»±VŠelp eVYjnZojl‹l[kY[jncŠp]ehmŠmYyij wa`fZ*ergi`fjlk3¦ s@jlZojl‹n[kY[jlcŠp]elmYmYyqj wa`bZ*ergq`bjnkŠp±jh™

vjlk=giyqjldfdfel—Ydf[ s yi`b™›gidf[pqppit‚p–gi[Z*pehyq[2kYjhgcYkŠ`fª=cY[²`fk¹‹l[kY[y.ehdæ ” wamYdf`fv`šg!vjlkŠp–giyqcŠvgi`fjlkjh™]p–c•v.VelmYmYyqj wa`bZ*ergq`bjnkŠp

yq[ª=cY`fyi[&pWgijo¥•k s —•jlgiV e Ÿ [`f‹lV=g n[v¡gqjlyelk s ev.VŠehkŠ‹l[jh™¬vj‚jny s `fkŠehgi[p™¢jny Ÿ VY`žv.V²mYyqjlm;[yigi`f[p

g

ehk s oeh—;jr l[]ehyq[

™¢cŠdš¥Šdfdf[ s ¦Wƒ vjnkŠp–giyqcŠv¡gq`b n[±mŠyijav[ s cYyq[]vehk2—;[]™¢jlcŠk s `bk­€Ph‰a«Pa…¡¯¸ºpi[[eldfpij2­rr¯3—Ycag Ÿ `bgiV eodf[pqp"[w‚mŠdb`žv`[email protected]ŠehkŠ‹l[jh™

vj‚jly

s

`bk•ergi[&pq»¦

UWVŠ[vjnkngqyijnd

s

[pi`f‹lk²mYyqjav[

s

cYyi[]mŠyi[&p–[kngq[

s

`fk pugq[m € Ÿ

`fdbdZ*eh£l[]c•p–[]jl™zemŠehyigi`žvcYdžehy"VŠjlZojl‹n[kY[jlcŠp"elmYmYyqj w‚`

°

Z*ehgi`fjlkjl™

021F34

^jnkY[@™¢jny

Ÿ

VŠ`fv.VgiVY[± l[&v¡gijny¬¥Š[d s p @ >

elyi[9VYjlZojl‹n[kY[jlcŠpKjh™)gqVY[pielZL[

s

[‹nyi[[

g ¦ K

[gWcŠp—Yyi`f[•t

yq[vehdfd)p–jnZo[9™¢[&ergqcYyi[&pWjh™giVY`žpehmŠmYyij wa`fZ*ergi`fjlk3¦

ĝjnkŠpi`s [ygiVY[ (#v Gl#vŠ« jh™

K

`f[

0B @

DMLNLMLFD

B ; 4 s [¥ŠkY[ s enp

E9 0 B 4

B 3 Ÿ `bgiV

3 E

9 E

GHO

@ E

9

pimŠelkE

B @ DMLMLNLFD B ; O

E

9

pimŠelkE

B @ DMLMLNLFD

B ; D .B @ D B DMLNLMLD

.B @ D B ;

DMLMLNL

.B ; @ D B ; O

¦¦¦

E

9

pimŠelkE&ehdfd

K

`f[]—Yy.elv.£n[gqpjh™giVŠ[

B C

>

jh™Odb[kY‹hgqV h

|O

¦¦¦

>9[kŠjhgi[ eldfpij

0GH4:E

9

p–m•ehk E B 0GH4!5

BQI

O D

elk

s µ E9 s

`fZ

0GH4

¦¬UWVY[k3«a—=tgiVY[

K

ƒ@}Ĺehg"giVY[]jnyi`f‹l`fk)«=giVŠ[yq[±[wa`fp–gqpeopiZ*ehdfdb[&pug"`fkngq[‹n[y picŠv.V!giVŠehg

G 9 µ 3 $ µ @ h

µ

h

LMLNL

h µ @ $ µ 9 µ L

@j

Ÿ « s

[¥•kY[giVY[

Ÿ

[`f‹lV=g" l[&v¡gqjly envvjly

s

`bkŠ‹ gij

B E 9 7

™¢jlyzµ

@ X g h C h µ

07 9 g

DMLNLMLFD 4 L

¸º€n‰n»

@jhgq[]giVŠehg@gqVY[pi[ª=cY[k•v[

@ D

DNLMLNLFD

.

`žp`fkŠvyi[&elpi`bkY‹•«Y`æ[n¦ g 9 @ h h

LNLML

h . 9

o¦"UWVY[yi[&p–cYdbgqp@‹l`f l[k`fk

­€ra«`Ph‰ ¯)`fZomYdbt

'  Á)(¬Á Ž*›+*Á>, /

D

154

;

"H #v v i

6

@2"'a A M` (&'i #vMa K 1JM C=cy ( Ma

021 3 4

!" A y

K3M 9 IF&H#"' M#a #%

D

M#y%(†#%N M2#&G Mz J= "' i(#%Na BAby ( Ma 6

@2"Ha 5AU (&' J= z 2A #% (

g 9

+©[oyi[™¢[y±giVŠ[Lyq[e

s

[y±gqjgqVY[oyi[™¢[yq[kŠv[pv`bgi[

s

el—•jr n[ ™¢jly±gqVY[vjnkŠpugqyic•v¡gi`fjlkjh™ev.VŠelkY‹l[Ljh™Wvj‚jly

s

`fkŠergq[p A©giVŠehg

gqyqelkŠp–™¢jlyqZop 021

3 4 `fk=gij¸Ph‡=»¡¦

K

[gcŠp3yq[Z*elyi£9giVŠehg3gqVY[vjlk=giyqjldn l[vgijny)¥Š[ds p @ >

jh™agiVŠ[ehmŠmYyij wa`fZ*ergi`fkY‹"VYjnZojl‹l[kY[jncŠp

pitapugq[Z ¸Pnl»9elyi[Lm;jldft=kŠjlZo`feldfp±`fkgqVY[ 8 vj‚jly s `fkŠergq[p«)ehk s giV•erg E @ @ DMLNLMLFD

@ ; O ™¢jlyqZ*pe!kŠ`bdfm•jlgi[kng pi[g jl™ l[&v¡gqjly

¥•[ds p^¹ZLjnyi[mYyq[v`fpi[dftl«aelk=t

K

`f[]—Yyqenv.£l[gjl™3giVŠ[ @ >¤p"jh™db[kY‹hgqV²pugqyi`žv¡gqdbtdžehyq‹l[ygiVŠelk I`fp`s [k=gi`žvehdfdft˜[yij•¦

_a`bkŠv[9VŠjlZojl‹n[kY[jlcŠpehmYmYyqj wa`bZ*ehgi`fjlkŠpehyq[@kY`fdbm;jhgq[k=g«‚™¢jnyelk‚togi`fZL[ °™¢cŠkŠv¡gq`bjnk

C

«ngqVY[ĝVY[k °Å df`b[&pipp–[yi`f[pelpqpij °

v`fehgi[ sŸ `bgiVelk‚tpicŠv.V*ehk*ehmYmŠyij wa`fZoehgi`fjlkLjlkYdft`fk‚ ljndb n[pOe±¥ŠkY`bgi[k‚cYZ—•[y¬jh™Dgq[yqZop¦OUWVY`fp¬mYyijnm•[y–gut`fpK l[yqt cŠpi[™¢cŠd

Ÿ VŠ[kRgiyqt=`fkY‹!gij s [yi`f l[L[wam;jlkY[kngq`feldzpug.eh—Y`fdb`f˜[yqp@™¢jlygqVY[oVYjlZojn‹l[kŠ[jlc•p9elmYmYyqj w‚`fZ*ergq`bjnk²jh™e!‹l`f l[kRpitapugq[Z2¦ @™

vjlcYy.pi[l«ap–c•v.Vvjlk=giyqjldfdb[yqpehyq[jh™`bk=gi[yi[&pugWjlkŠdbt`b™giVY[tehyq[]ehdžp–jL[wam;jlkY[kngq`feldpug.eh—Y`fdb`f˜[yqp™¢jnygiVY[]jnyi`f‹l`fkŠehdpitapugq[Z2¦

UWVŠ[™¢jldfdbj Ÿ `fkY‹giVY[jlyq[Z%m;jl`fk=gqp"jncagp–caœv`b[kng@vjlk s `šgq`bjnkŠpWjlk!giVY[ vjlk=giyqjldDdže Ÿ gqj*[kŠpicYyq[9gqVŠergpicŠv.V2`fpgqVY[ venp–[n¦

S T ½‚Á  ½ 6z M# 6 @2"Ha 5AU M` (&' (#%Na K1JMxJ=

021 3 4JD

!"

> E

9 5 0@ >4 Kj 9 g

DNLMLMLFD m M D

`zx (#v =(&H M

C I # 3 00 ] .G D }6=

, ; 4

& "Q"Hw"' "#% ( ((&Hac† ; "' (#v a Lx#% #G (z

=#:": `#%Ma A y a 9 X ((&Ha =(&H#"H #a #v $"H "H =!Ak (&Ha `

D "B" $J#%AU #

M#(( J= "H u"#vz:v&Hac\ ; "' (#% Ma L D €M #G vz=#i"' b(#%Na BA:(y a

3 @% 9 =# †y ab&HJ@`z v 9 0j@

DNLMLMLFD j 4

J=i MA "-_F_

h g

&:D

3

C0984

9 =

6

P 8 X

0984

D

¸º€Š…&»

"' M#%

E

9

=

B ?d@

>F D

z "' P

u#% ua uA(#(

9

; "' M

D

"H u"#% ( b (&Ha ` C= ; "H v#% Ma L:#% U #G vz=#i"' uy 2 Ma K1 M 9

@jhgi[giVŠehg`bg`žp kYjlgyi[&ª=cY`byq[ s gqVŠergoehdfd > ¤p —;[[ª=cŠeldG«Oelp`šgLjavvcŠyqp Ÿ VŠ[kgiVŠ[!ehmŠmYyij wa`fZ*ergi`fjlk©`žp jl—Ygqeh`fkY[ s —=t

cŠpi`fkY‹ogiVY[ s `bdžergq`bjnk s [¥ŠkY[ s —‚t¸G€l‰=»¡¦

'  Á)Á “ ƒ9pipicYZomagi`fjlk•p…elk s €²jl™@UWVY[jnyi[Z …ehyq[*jl—‚ ‚`bjncŠpidbt© l[yi`b¥Š[ s ™¢jny gqVY[!pitapugq[Z5¸Pl‡n»¡«zpi`bk•v[gqVY[tjnkYdbt

`fk‚ ljldf l[LgqVY[vjnk=giyqjldOdfe Ÿ ehk s©s j²kYjhg s [m•[k s jlk©gqVY[vjnkngqyijnd¬p–tap–gi[Z¦:s[k•v[l« Ÿ [*jlkYdftkY[[ s gij2g.eh£n[ovehyq[*jh™

ƒ9pipicYZomagi`fjlkQPLehk s piVYj Ÿ gqVŠerg"gqVY[ pijldfcagi`fjlkjh™

7

8 9 ;

=>

?A@

0 @ >

0<8H4FX

>

0984 4C

>

0<83

D%q 4 D

8†0

q

34

9

83

D

¸º€Pn»

pqergq`fp–¥Š[p

8†0}u4

9

83lX

0983 4

¸º€l€=»

™¢jnypijlZo[ s `fpqvyq[gq[ ° pug.eh—Ydf[Z*ehgiyq`šw ¦

K

[gcŠp9¥Šy.pug`fkngqyij s c•v[pijlZo[kYjhg.ergi`fjlk•p¦i+¹`bgiVYjncagdbj=pip±jh™¬‹n[kY[yqeldb`bgutl« Ÿ [

enpipicYZo[±giVŠehg"giVY[] rehyq`žeh—Ydf[p 8 >

ehyq[jly s [yq[ s —=t`bkŠvyi[&elpi`bkŠ‹ Ÿ [`f‹lV=g«a`æ[l¦

@ h h

LMLNL

h .

elk ss [&vjlZom;jnpi[

8

enp 8 9

098

@

DNLMLMLAD

8 4 « Ÿ VY[yq[@[&elv.V 8 ¸gih

7 h »¬`fpKgiVŠ[±picY— ° l[&v¡gijny¬jh™

8 Ÿ VYjnpi[@vjlZom•jnkY[k=g.p

VŠe  n[]pielZL[ Ÿ [`f‹lV=g

0 @ h h . 4 Ÿ `bgiV

@ 9 @ $ $

LMLNL

$ 9 . L

|§k²eop–`fZo`bdžehy Ÿ e tl«aeoZ*ehm

B

™¢yqjlZƒ, . gqj , . vehk—•[ s [&vjnZLm;jnpi[ s elp

B 9 0B @ DNLMLMLFD

B 4¦ +©[]Z*e tkYj Ÿ mŠyijav[[ sŸ `šgqV2giVY[mYyqj‚jh™u¦¬UWVY[]pijldfcagi`fjlkjh™"¸º€UPl»velk!—;[][wamŠelk s [ s elp

8†0

q 4 9 8 3 X = 0 0@ X 4 j

4v098 3 4

3 C 098 3 4 L

txzyijnm•j=p–`bgi`fjlk~…n«WgiVY[Rp–[yi`f[p`bkgqVY[yq`b‹nV=g °VŠehk s pi`s [ jh™giVŠ`fp![ª=cŠeldb`bgut´`žpcŠkY`š™¢jnyiZodft®vjlk‚ l[yi‹n[k=g Ÿ ¦y&¦g¦

8 3

¸v_

8 3 _ h

»Welk s q I .G D }

¦zUWVY[]eh—;jr l[±[wamYyq[pqp–`fjlk!Z*e t—•[]yq[ Ÿ yq`bg–gi[kenp

8†0

q 4 9

83 X = 0@

j 4v09834

3

C> 09834X

= 0

j 4v09834

3

C>0983 4 L

¸º€h\‚»

s@[yq[l«

E9 >

>

¸›™¢jny

9 0j @ DMLNLMLFD j 4

»¡«

Ÿ

VŠ[yq[±[&elv.V >

—;[dfjlkŠ‹npgij:E

@ >D >O

«Yehk

s

gqVY[mYyij

s

c•v¡g vjlk=g.eh`fkŠp

ehg±df[enpugjlkY[jh™¬gqVY[

>¤p¦ @jhgi[giV•erg±giVY[¥Šy.pug]p–cŠZ `bkgiVY[Lyi`f‹lV=g

°

VŠelk

s

pi`

s

[`fk‚ ljldf l[&p@e¥ŠkY`bgi[Lk=cŠZ—;[yjh™¬gq[yqZ*p

—;[vehcŠpi[ E @ @ DNLMLMLAD

@ ; O

`žpekY`fdbm;jhgq[k=g"p–[gjl™3 l[&v¡gijny¬¥Š[ds p¦¬ƒ9pevjnkŠp–[&ª=cY[kŠv[l«ngiVY[pi[yq`b[&p s [¥ŠkY[ s —‚togiVY[pi[vjnk s

picYZ `žp"cYkŠ`š™¢jnyiZodftvjnk= n[yq‹l[kng Ÿ ¦y&¦g¦

8 3

ehk s q ¦ ” env.V!jl™gqVY[pi[±g Ÿ j*picYZ*pW`fp"kŠj Ÿ vjnkŠpi`s [yi[ s pi[mŠelyqehgi[dbtn¦

_‚`fkŠv[ ƒ@pqp–cYZomagq`bjnk-PL`fk2UWVY[jnyi[Z …`fp" n[yq`š¥•[ s ™¢jnyWgiVY[ elmYmYyqj wa`bZ*ergq`bkŠ‹Lpitapugq[Z³¸Pnh»« Ÿ [±V•e  l[

8 3 X = 0@

j

4v098 3 4

3 C 0<8 3 4 9 8 3 X 098 3 4 L

¸º€rn»

Ÿ VY[yi[ `žp@e s `žpqvyq[gi[ °p–gqel—Ydf[]Zoehgiyq`šw¦p+©[vdžeh`fZ giVŠehggiVY[Z*ergiyq`bw ~`žp9kY[v[pqpielyi`fdbt—Ydbjav.£cYmYm;[y °gqyi`žehkŠ‹lcYdžehy"`fk

gqVY[ p–[kŠpi[9gqVŠerg

8N3

9

@%@

¦ ¦ ¦

G

8

@3

¦¦¦

8

3

D

¸º€ o=»

|§k2jny s [ygij*mYyqjr l[9giVY`žp"elpqpi[yigi`fjlk)«‚`bg`fpvdb[&ehyqdbtpicaœv`f[k=g"gqjopiVYj Ÿ giVŠehg«a™¢jny

7 9 g

DNLMLNLFD o«

= 0@

j 4

098 3 4

3 C 098 3 4 9 =

P 8 3 X

0<8 3 4

¸º€‚h»

™¢jnyp–jnZo[±Z*ehgiyq`fv[p

P ¦ K

[g"cŠpyi[ Ÿ yi`bgi[±giVŠ[ p–cYZ `bkgiVŠ[]db[™›g ° VŠehk s pi`s [±jl™W¸G€=l»enp

=

6

P

0@ j

4

3 C X =

6

P

0@ j

4

3 C X =

0@ j

4

3 C

¸º€n‡n»

Ÿ VŠ[yq[9gqVY[ ehyq‹lcŠZL[k=g 8 3

`žp"jlZo`bg–gi[ s ™¢jlyWgiVŠ[ piel£l[±jh™vjlkŠv`fpi[kŠ[pqp¦

+©[L¥Šy.pugkYjhgq[gqVŠerggqVY[odfenpug]p–cŠZ `bk¸º€n‡n»@`fpe#

098 3 4

—;[vehcŠpi[l«D™¢yqjlZ ƒ9pipicYZomagq`bjnk¨…n«[elv.V

3 C

`žp`bgqpi[db™e

0<8 3 4 Ÿ VY[k _F_

D g

&

¦

Å yijnZ ƒ@pqpicYZomagi`fjlk²€ °—Y`žp`bk²UWVY[jlyq[Z PY«Yehdfd`šgq[y.ergi[ s `bk=gi[‹ly.ehdžp`bk!giVY[ pi[vjlk s picYZ elyi[jh™giVY[™¢jnyiZ

=

6 6 P

8N3

P X

0<834

L

Ÿ VŠ`fv.V2Z*e tehdžpij—;[ Ÿ yi`bg–gq[k²elp

=

P 8 3 X

098 3 4 L

pi`fkŠv[]ehk‚t

8 3 P Ÿ VŠjnpi[ Ÿ [`f‹lV=g

`žpW‹lyq[ergq[yjly"[&ªnc•ehdDgij

VŠenpgij*—;[]ehk[df[Zo[k=gjh™Op–jnZo[

8 3 Ÿ `šgqV

; 7

¦zUWVY`žp

vdb[&ehyqdbt`bZomYdf`b[&pgiVŠehg"giVY[ pi[vjlk s picYZ `fk ¸º€l‡=»vehk—;[ Ÿ yi`bg–gq[k²elpgqVY[]yi`f‹lV=g °VŠelk s pi`s [jh™"¸º€=l»¡¦

K

[g±cŠp9¥ŠkŠehdfdft2vjlkŠpi`s [y@giVY[¥Šy.pugp–cYZ `fk¨¸G€l‡n»¦_a`bkŠv[

0@

j 4

09834

`žp¬{ucŠp–g @ 8

[ rehdfcŠergq[ s ehg 83

«elk s pi`bk•v[

[&elv.VvjlZom•jnkY[k=gjh™

8

`žpKVYjnZojl‹l[kY[jncŠpzjl™ s [‹nyi[[

«‚`bgK™¢jldfdfj Ÿ pzgiV•erg[&elv.VvjlZom•jnkY[k=gjh™

0@

j 4

`žpKe ™¢cYkŠvgi`fjlk

VŠjlZojl‹n[kY[jlcŠp±jh™ H s [‹lyq[[

¦oUWVY[yq[™¢jnyi[n«[env.V 0 @

j 4

 rehkY`žpiVY[p]ehg±gqVY[*jlyq`f‹l`fkRehk s «3pi`bkŠv[o`šg]`žp

ep–Zoj‚jhgqV2™¢cYkŠv¡gq`bjnk)«;giVY[yi[[wa`fp–gqp

e D G

picŠv.V2giVŠehg _0@

j 4

0<8N34

_ h e _ 8N3

_¦UWVŠ`fp@`bkY[&ª=cŠehdf`šgutn«;vjlZ—Y`bkŠ[ s2Ÿ `bgiV

ƒ9pipicYZomagq`bjnk… Ÿ VŠ`fv.Vgi[dbdžpzcŠpOgqVŠergc_

3

C0<8N34

_ 9 0 _ 83

_

4

™¢jly¬pijlZo[/3

D G

«h`bZomYdf`f[pOgqVŠergzgqVY[W¥Šy.pugKpicYZI`fk²¸º€n‡n»

`žp@e*

0<834

¦WUWVŠ[yq[™¢jlyq[l«Šyi[dfehgi`fjlk ¸º€‚h»VYjnds p™¢jly[ l[yit

7-9

g

DNLMLMLFD

ehk s «;p–cŠ—Šp–[&ª=cY[k=gidftl«YgiVY[Zoehgiyq`šw ~`žp—Ydfjav.£

cŠmYm•[y°giyq`žehkY‹ncYdfely¦ ²jlyq[jr l[y« 4—•[`bkŠ‹2e s `žpivyi[gi[ °p–gqel—Ydb[LZ*ergqyi`bw«[elv.VRZ*ergiyq`bw jlkgiVY[o—Ydfjav.£ s `žeh‹ljnkŠehd`žp

kŠ[v[&pipqehyq`fdbte s `žpivyi[gi[ °p–gqel—Ydb[Z*ergqyi`bw`bgqpi[db™u¦

K

[g"cŠp"kŠj

Ÿ

piVYj

Ÿ

gqVŠerg

= 0 j

4%0<8N34

3

C> 09834

9

83 X

09834

¸º€n†n»

Ÿ VŠ[yq[

`žpeL—Ydbjav.£cŠmYm•[y°giyq`žehkY‹ncYdfelyZ*ehgiyq`šw Ÿ `bgiV2˜[yqj=[&pWjlk!giVY[]—Šdbjav.£ s `žeh‹njlkŠeldO«Y`G¦[l¦

8 3 9 G

¦¦¦ ¦ ¦ ¦

G

G 8

@3

¦¦¦

8

3 X

0<8 3 4 L

¸¢\=‰n»

UjLgiVY`žp"mYcŠyim;jnpi[l« Ÿ [{ucŠpug9kY[[ s gqjp–VYj Ÿ giVŠehg«a™¢jny

7 9 g

DMLMLNLFD o«

= 0 j

4 098 3 4

3 C 098 3 4 9 = P 8 3 X

098 3 4

¸¢\•…&»

™¢jnyp–jnZo[±Z*ehgiyq`fv[p

P ¦ K

[gcŠp"eh‹=eh`fk s [&vjnZLm;jnpi[±giVY[ picYZ `bkgiVŠ[]db[™›g ° VŠehk s pi`s []jl™¸º\Š…&»Wenp

=

6

P

@

" 0 j

4

3

C> X =

6

P

@

" 0 j

4

3

ClX

=

@

" 0 j

4

3

C

L

¸¢\'Pl»