• Aucun résultat trouvé

A Markovian Model for the Stationary Behavior of TCP

N/A
N/A
Protected

Academic year: 2021

Partager "A Markovian Model for the Stationary Behavior of TCP"

Copied!
35
0
0

Texte intégral

(1)

HAL Id: inria-00072347

https://hal.inria.fr/inria-00072347

Submitted on 23 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 abroad, or from public or private research centers.

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 publics ou privés.

A Markovian Model for the Stationary Behavior of TCP

Sophie Fortin, Bruno Sericola

To cite this version:

Sophie Fortin, Bruno Sericola. A Markovian Model for the Stationary Behavior of TCP. [Research Report] RR-4240, INRIA. 2001. �inria-00072347�

(2)

ISSN 0249-6399 ISRN INRIA/RR--4240--FR+ENG

a p p o r t

d e r e c h e r c h e

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

A Markovian Model for the Stationary Behavior of TCP

Sophie Fortin and Bruno Sericola

N˚4240

Septembre 2001

THÈME 1

(3)
(4)

/103246587:903;=<>58?A@B?6CEDF;G?60H/I7J;K5MLN03OP@RQ

STVUWXY[Z \^]=_`XKacbed"X=f^_hgJ_ifjUWX_

kml`n>ohX=f^p[lhWnql

\asrtr3nqlif&uVXl`X=vwTVXlhvwTVXyx{zq|N}c|N~Z €JXrtf`XWVl`X‚}s~q~tY[Z ƒtYr„as…sX_

†ˆ‡‰!ŠŒ‹>„ŽsŠN STV‘_r„acr3X=lrVlhX_hXxNfj_a"uV’_hvl`X!fjX”“•fj‘WX–—acl`˜snŒ™švwT„as‘xRWneutX›mœnqlfjTVX\^X=xVn—™sXl`_h’nqx

nsœžS^Ÿ k6¡¢fjTtXfjl`asxV_hW‘_`_`‘nqx—v=nqxNfjlhnq›6rtl`nsf`nev=nq›1œnqllhX›‘£asV›‘X‚fjl`asxV_`rBnqlif‚nqx"fjTVXF¤¥xNf`Xl`xtX=fK¦STVX{rtbVl`rBnq_`X

’_Ff`TVX§X=™cas›‘b„acfj‘nqx¨nsœ^_ifwacf`’nqx„aclhg:S^Ÿ k.©„nŒª&_3X=T„aK™e‘nqlFbV_h’xV…«rBXliœnql`WasxVv=XˆWXas_`btl`X_¬_hbVvwT­ac_FfjTVX

WXasx§fjTVlhnqbV…qTtrVbtfK¦žSTVXWneutX›®‘_„as_hXu"nqxrVl`X!™e‘nqbV_ª¯nql`˜°_&ª&TV’vwT"aslhX…sXxVX=ljas›‘’±X=u§Ngˆfwas˜°‘xV…’xNfjn

asvv=nqbVxNf^fjTVX_`›‘nŒª²_hfjaslhf^rVTVas_`X=_^f`T„acf^asrVrBXKaclaœ³fjXlXasvwT´f`’WX!“•nqbtflhXvnŒ™sXlhgs¦¯µ:XvnqxV_h’uVX=lfjTVXfjTtl`XX

uV‘¶3XlhXxNf^rVT„as_hX_^nsœfjTVXrVlhnsfjnJvnq›·žf`’WX!“•nqbtfK¡J_`›‘nŒª²_hfjaslhfasxtu"v=nqxV…qX=_hf`’nqx´aK™qnq‘u„asxVv=XacxVu"ª¯Xnqtfjas’x

asx„as›¸g°fj’vas› X!derVlhX_`_h’nqxt_œnslfjTtXFWXasx¹x°bVWFBXl[nsœž_`X=…qWX=xNfj_‚_hXxNfuVbVlh’xV…ˆXasvwTnsœmf`TVX_hX¬rVT„as_hX_asxVu

fjTVX=’l&WXKasx"uVbVl`acfj‘nqxI¦»ºbtlWneutX› as›‘_`nas›’›‘nŒª&_bV_f`nX!™sac›’b„acf`XfjTVXrVlhnqr3nslhfj‘nqxnsœ¼›‘nq_`_hX_^uVbVXfjnfjTVX

fj‘WX=l X!derV‘lhgasxtu"f`TVXuVbVrV›‘’vKafjXasvw˜°xVnŒª&›’X=uV…qWXxNfj_=¦

½´¾N¿®ÀhÁFÂ

‹Ã6‰c

S^Ÿ k¡m\^X=xVnV¡¼v=nqxV…qX=_hf`’nqx¨v=nqxNfjlhnq›P¡©„nŒªÄv=nqxNfjlhnq›P¡fjTVlhnqbV…qTVrtbtfK¡ž–´asl`˜cn>™:vwT„as‘xI¡¼›‘nq_`_

rVl`nsr3nqlifj‘nqxI¦

ÅÇÆÈÊɥˌ̠ȞÍ6ΑɥϝÐÑ

ÒÔÓjÕKÖ=×>Ø>ÙÛÚ!ÜÝ>Ö!ÞMßMÙÛàNá=Ó`â®ÞMãà>ÖÜäÕKÚiÞPÙæåÊÖ!çæèŒá”é6ÙêÞPÙæëMèÜìÇÞ

Unité de recherche INRIA Rennes

IRISA, Campus universitaire de Beaulieu, 35042 RENNES Cedex (France) Téléphone : 02 99 84 71 00 - International : +33 2 99 84 71 00

Télécopie : 02 99 84 71 71 - International : +33 2 99 84 71 71

(5)

§ ),+.-

‰



Ÿ»X=fmaclhfj‘v›‘XmrVl`]=_`XxNf`X»bVxWnJuVU›‘XmuVXÔvwT„a£xtX¯uVX»–—aslh˜snŒ™ &f`XWrV_uV’_hvl`X!frBnqbVl ›’a&™sXl`_h’nqx

\^X=xVn§uVXFS^Ÿ k¡I›’XrVlhnsfjnJvnq›‘X{uVX{vnqxNfjlq›’XuVX{f`ljasxV_hW‘_`_h’nqx´r3nqbtl[›’Xfjl`asxV_`rBnqlif¢ast›’X{_hbVl›¤¥xNfjX=l`xVX!fK¦

1X"tbtfX_if›]=™cas›’bVacfj‘nqx¨uVb vnsWrBnqlhf`XWXxNf¬_ifwacf`’nqxVxVas’lhX'uVX§©„bedS^Ÿ k Xx btf`’›’‘_jasxNf{uVX_WX_`btl`X_

uVX«r3X=lhœnqlhW'acxVvX—f`X›‘›’X_JbtX›’X¹uV]=V‘fWnŒgqX=xI¦ 1XWneuVU=›’X¹X=_hf„ac_`]«_`bVl§utX_ˆfjl`aK™sacbed rVlh]v]=uVXxNf`_

°bV_hnqxNfˆ…q]=xV]l`as›’‘_`]=_X=xHfjX=x„asxNfˆv=nqWrefjX"uVX_ˆrtT„as_`X=_'uVX´uV]Waslhljas…qX"›’X=xNf°bVasrVr„acljas‘_`_`X=xNfˆasrtl`U_

vwT„a!°bVXlhXrVlh’_`X^uVX[f`XWr3nsl`’_`acfj‘nqxI¦"nsbV_ vnsxV_`‘uV]lhnqxV_»›‘X_žfjlhnq’_ÔrVT„as_hX_ ut‘¶3]l`X=xNfjX_»uVbˆrVlhnsfjnJvnq›‘X·¼›£a

fjX=WrBnql`‘_jacf`’nqx®¡N›’X[ut]Wasl`l`as…qX^›’XxNf»X=f›#ê]!™e¸fjX=WX=x°f¯uVX‚v=nqxV…qX=_hf`’nqxˆX!fxVnqbt_»nqtf`XxVnsxV_ uVX=_ X!derVlhX_`_h’nqxt_

asx„as›¸g°fj$°bVX=_‚rBnqbVl‚›‘XFxVnqWFtl`XFWnŒgqXx«uVX{_`X…sWX=x°f`_XxN™qnŒgq]=_utbVljasxNfvwT„acvbVxVX¬utX¬vX_rVTVas_`X=_X=f›’X=bVl

uVbVlh]XWn>gsXxVxtXs¦%"nsf`l`X‚WneutU›’XxVnqbV_»r3X=l`WX=f]=…Nas›’X=WX=xNfu&]=™cas›’btXl ›’a{rVl`nsr3nqlifj‘nqx'uVXrBXlifjX=_uVbVX_

›X!derV‘ljacf`’nqx§uVX›’a{fjXWrBnql`‘_jacf`’nqxˆX!f'›’a¬uVbVrV›‘’vKafj’nsxˆuVX_^asv=vbV_h]_uVXl`]v=Xrtf`’nqx®¦

(  ŠŒ‰ À Ž*)  S^Ÿ k¡\&XxVnt¡vnsx°f`l+q›‘XutXv=nqxV…qX=_hfj‘nqxI¡6vnqxNfjlq›’XuVX©„bed3¡¼uV]=V‘f¡vwT„a,£xVXuVX§–´asl`˜cn>™B¡

rVl`nsr3nqlifj‘nqx§uVXr3X=lhf`Xs¦

(6)

ƒ

6 7

16 Ô =

8»XvasbV_hXnsœBfjTtX…ql`XacfžX!der„asxtunsœBfjTtX¤¥x°f`XlhxVX=f¡ta›’ncf¼nsœBª»nsl`˜FT„ac_ԁBXX=xuVnqxVX&nqx‘f`_¼X:9v=’Xxtv=gasxVunqx

r3ns_`_`‘V›’X‘WrVlhnŒ™qXWXxNf`_¦ˆSTVX'asrVr„acl`XxNf`›‘g«_`‘Wrt›’X¬WXvwT„asxt’_`W ncœ»fjTtX

0-;-<>= (2? , @4? > A,

S^Ÿ k bV_hXu NgCBSS&k fjljacxV_hœX=l¡ „›’XfjljacxV_hœX=l¡žXWas’›¯asxVulhXWnsfjXˆasvv=X_`_T„ac_¬3X=Xx WnJuVX=›’Xu:ª&‘fjT

™casl`‘nqbV__hf`nevwTVas_hf`’vfjnJnq›’_=¦

D6’l`_if‚nsœ¯as›‘›P¡3aˆ_`‘WrV›‘X{Vbef’xNfjX=l`X_ifj‘xV…asrVrVlhnKdt‘W'afjXœnsl`WFbV›’aœnql^fjTVX¬WXKasx¹f`TVl`nsbV…qTVrVbefEncœ»a

S^Ÿ k ©Vn>ª ª»as_¯…q‘™sXxˆ‘xGFÇYK|HM¦m¤¥xVuVX=XuI¡tas_`_hbVW‘xV…Far3X=l`‘neuV‘vª&’xVuVnŒª X!™qnq›‘btfj‘nqxI¡°W'acl`˜sX=uˆNgljasxVutnqW

›’nq_h_§X=™sXxNfj_´_`XrVasljacf`’xV… _hbVvv=X_`_h‘™sXRvnsxV…qX_ifj‘nqxAaŒ™snq’uVasxVvXrtT„as_`X=_¡‚f`TVX«asbtf`TVnql`_nsœIFÇYK|Hnqefwas‘xVXu

EKJ L

MONON?P R>SUTQ

_`X=…qWX=xNfj_¬rBXl{_hXv=nqxVuI¡žª&TVXlhXWV+XYX utXxVnsf`X_Ff`TVXˆWXKasx¨lhnqbVxVu¨f`l`‘rRfj‘WXc¡[Z¨’_fjTVX

_`X=…qWX=xNf›‘nq_`_rtl`nq„acV’›‘‘f¥gq¡easxVu]\YJ_^nsla`e¡VuVX=r3X=xVuV’xt…nsxª&TtX=fjTtXl&fjTVXS^Ÿ k­‘WrV›‘XWXxNfwafj’nsx'uVnJX_

nql uVnJX_»xVnsf‘xVv›‘bVuVX[utX›£aKgsXu"asvw˜°xVnŒª&›’X=uV…qWXxNfj_=¦ÔSTtXnql`uVX=l»nsœ3^cbd Zˆª»as_ œbVlifjTVX=l uV’_hvbV_h_`X=u"‘xFÇYK|H

Vbtfas›‘_`n’xeFÇYfHM¡„’x§ª&TV‘vwT"f`TVXª&’xVuVnŒª*_`‘±XuV’_ifjlh’Vbtf`’nqxˆœbtxVv=f`’nqx"asxVuWnqWXxNfj_ ª¯XlhXv=nqWrtbtfjX=uI¦

pWnsxV…Rac›’›&nsfjTtXl_hfjbtuV’X=_¡_`btvwT as_GFÇYŒƒHM¡gFÇY>}HM¡gF¸YhH‚acxVuiFjfHM¡W'asxNg aslhX—„ac_`XuHnqx­a:©VbV’uHasre“

rVl`nqasvwT¹asxtu¹aslhXbt_`b„as›‘›‘gacxVu´Was‘xV›‘g'’xNfjX=l`X_ifjX=u—’x"…qX!f`fj‘xV…asx´asx„as›¸gJf`’vas›IX!derVlhX_h_`’nsx—œnqlfjTVXWXKasx

fjTVlhnqbV…qTtrVbtfnsœ¯aˆ_h’xV…q›‘X_ifjXasutgN“¥_ifwacf`X¬S^Ÿ k*vnsxVxVXv!fj‘nqxI¦¤¥x«asuVuV¸fj‘nqx´f`nˆfjTVX=_`X¬l`X!œXlhXxVv=X_asxVu«as›‘_`n

vnqxt_`’utXl`‘xV…"aˆ©„bV’u«X!™qnq›‘btfj‘nqx«nsœ¯f`TVX¬ª&’xVutn>ª _`‘±Xs¡3Fê}HM¡?FÇYHM¡kFlhcHÔasxVumF|Hmœnev=bV_nqxfjTVX¬ª&’xtuVnŒª%_`‘±X

noohbV_if‚BX=œnqlhXfjTtX.pB“PfjT¹›‘nq_`_=¡®acxVuqF|H6f`TVXx—vnqWrVbtf`X_f`TVX„lh_hf‚asxVu¹_hXvnsxVuWnsWX=x°fnsœ3nGoe¦STVX

vKas_hX§nsœ^WFbV›¸fj’rt›’XS^Ÿ k.v=nqxVxVX=v=fj‘nqxV_¬‘_{fjTVX'_`bVJohX=v=fnsœFƒHM¡YF¸YqY:HP¡žasxturFtsHM¦:º[fjTVX=l{fjnJnq›’_T„aK™qX§BXX=x

X!derV›‘nql`X=uI¡t_hbVvwTas_¯f`TVX[Wad°“¥rt›’bV_Ôas›‘…qXVl`a‘xuFtvHBª&TVXlhX[fjTVX[asbtf`TVnql`_¯nqtfjas’xX!derVlhX_`_h’nqxt_ nsœ1fjTtX[WXKasx

fjTVlhnqbV…qTtrVbtf^’x§fjTtXvas_`Xnsœ6_`X!™qX=ljas›l`nqbefjXlh_&’x§_`X=l`‘X_¦

º‚bVlr„acr3X=l´‘_"Vas_`X=u²nqxErtl`X=™J‘nqbV_ª»nqlh˜°_—rVlhX_`X=xNfjXu ‘xwFÇYscHP¡xFÇYcvHasxVuyFjzHª&TV’vwT*vnqxV_h’uVX=l—a

uV’_hvlhX=fjX”“•f`’WX{WneuVX=›¼asxtu«aˆuV’_hvl`X!fjX¬X!™qnq›‘btfj‘nqx¹nsœžfjTtX{ª&’xVutn>ª._`‘±Xc¦µ:X¬rVlhnqr3ns_`XFTVX=l`XaˆuV‘_`v=l`X=f`X!“

fj‘WX–´asl`˜cn>™«vwTVas’x«WneuVX=›ª&TV‘vwTRas‘W_^fjn…q¸™qXasx„as›¸g°fj’vas›X!derVl`X=_`_h’nqxV_œnqlWXKas_hbVl`X=__`bVvwTRas_fjTVX

WXasx'f`TVl`nqbt…qTVrVbtf»nsœ nqxVXVbV›‘˜f`ljasxV_iœXl¯S^Ÿ k¼“¥\^X=xVnF©„nŒª*asWnqxV…{X”denq…qXxtnqbV_»f`lja9vs¡eVbtf¯ª&TV’vwTas›‘_`n

as›’›‘nŒª&_bV_fjn´nqtfwac’x:™caslh’nqbt_lhX_`bt›‘fj_œnqlfjTVX_`bVv=vX_h_`¸™qXS^Ÿ k _hfwafjX_|{8X!derBnqxVX=x°f`£as›Ô…qlhn>ªf`TI¡¼›‘’xVXasl

…ql`nŒªf`T¹asxVu´’uV›‘Xr3X=l`‘neu"acœ³f`Xlfj‘WX”“¥nqbtf&utX=fjX=v=f`’nqx#}»f`T„acf›’XKacuf`n'Wnql`Xacvvbtljacf`XuV‘_`v=bV_`_h’nqxV_[asBnqbtf

S^Ÿ k­3X=T„aK™J’nql=¦

STtXr„acr3X=l‘_nql`…qasxV’±=Xu:as_œnq›’›‘nŒª&_¦€eXv!fj‘nqx¨}ˆlhX=™J’X!ª&_{S^Ÿ kEœl`nsW ‘f`_’WrV›’X=WX=x°fjacfj‘nqx—f`n´¸fj_

WX=vwT„asxV‘_`W_1{›’nq_h_uVX=f`Xv=f`’nqxšNg %~I; € nql %(l=&1€=&U$A;/.*25‚g< asxVu«ª&’xtuVnŒªyvnqxNf`l`nq›ž_hfjacfjX=_¡

x„asWXu

< ƒ„<$

asxVu

A, …,<%$ †A,

}!¡¢’x—f`TVX{vas_`X{nsœmfjTVXF\^X=xVn'™qX=l`_h’nqx¹ncœžS^Ÿ k6¦1€JXv=f`’nqx

ƒrVl`X=_`XxNf`_´nqbtlˆuV’_hvlhX=fjX”“•f`’WX«–—aslh˜snŒ™ vwT„as‘x WnJuVX=›[„as_hXuAnqx­fjTtXxVnsfj‘nqx nsœ

€‡&<

ª&Tt’›’X´fjTVX

fjl`asxV_`¸fj‘nqxrVl`ns„asV‘›’‘f`’X=_{nsœ^fjTVX´–—acl`˜snŒ™ vwT„ac’xˆ{ ‰2 }Fasl`XX!™sac›’b„acf`Xu ’x €eX=v=f`’nqx |V¦ STV‘_ª&‘›’›¯3X

vnqWrV›‘X=fjX=u‘x€eXv!fj’nsx1h‚ª&‘f`Tf`TVX&’xNfjlhneuVbtv=fj‘nqxnsœ®f`TVX

,<€Š €&<

¦ž€eXv!fj‘nqxIf’_mutX=™qncfjXufjnfjTVX

vnqWrVbtfjacfj‘nqx—ncœ¼fjTVX{WXasx´f`’WX_hr3X=x°f‚’x—XasvwTrVT„ac_`X¬asxtu¹nsœ¼f`TVXFWXKasx´xJbtWF3X=l[nsœž_hX…qWXxNf`_‚_`X=x°f

uVbVlh’xV…XKasvwT§nsœ®fjTVX=W´¦¼¤¥xˆf`T„acf¯_`X=v=fj‘nqxI¡Jª»X[as›’_hn{rVlhn>™J‘uVX[X”dtrtl`X_h_`‘nqxV_»œnqlÔfjTVXWXasxf`TVl`nsbV…qTVrVbefasxVu

œnql»f`TVX…qnenJuVrVbefK¦µ:XrVl`X=_`X=x°f^x°bVWXlh’vKac›Il`X=_`bV›¸fj_’x"€JXv=f`’nqx]vFacxVu´€eXv!fj’nsxsFv=nqxVv=›’bVuVX=_fjTVXr„acr3X=l¦

‹ Œ

¯6 ! A)y+ -

STVX¤¥x°f`XlhxVX=f[Ÿ»nqWWFbVxV‘vKacf`’nqxˆkžlhnsfjnJvns›1r„asvw˜as…qXvas›’›‘XuS^Ÿ k3c¤Êk­T„as_&BXXx"’WrV›‘XWXxNfjX=uasxVu’W¬“

rVl`nŒ™sXunqx¬p[lhr„asxVX!fK¡qfjTtX¤¥x°f`XlhxVX=fžrVlhXuVX=vX=_`_`nsl¡J’xFfjTtX 3X=…q’xtxV’xV…[nsœ¢fjTVXYsq~ ê_=¦¤•fmT„ac_¼fjTVX=xrtl`nŒ™qX=u¸fj_

X:9v‘XxVv!g¹acxVu¹‘f`_[acV’›‘‘f¥gˆf`nˆasu„acrtf[f`nfjTtX{X=™snq›’befj’nsxWŽnsxVX{W’…qTNf^_jaKg"fjTVXX!derV›‘nq_`‘nqxq{X!der3nsxVXxNfj’as›

nqlX=™sXx´T°gJrBXlʓ¥X!derBnqxVX=x°f`£as› …qlhnŒªfjT#}kŽ'nsœfjTVXx°bVWFBXl&nsœv=nqxVxVX=v=fj‘nqxV_=¡Bncœ6xtX=f¥ª¯nql`˜§v=nqWrt›’X!de¸f¥g§asxVu

nsœ6bV_`X=l`_^uVXWasxVuI¦

(7)

|

STtXuVX_hvl`‘rtfj‘nqxV_acxVu§l`X=vnqWWX=xVu„acf`’nqxt_ Žl`acfjTVX=l»fjTVasx§_hfjasxVu„aslhuV_?Žnsœ1f`TVXS^Ÿ k3c¤Êk rVlhnsfjnJvns›’_

asl`Xmrtl`nqrBnq_`X=uI¡uV’_hvbV_h_`XuasxVubVrBu„acf`Xu’x‚f`TVXž\ DŸ»_?{ € ,< < 5 Y2? ~ ~I < }”¡Kª&TV’vwTvKasxBX¼œnqbVxVu

œnql‚‘xV_hfjasxVvX{’x¹fjTtX¬\ DŸ²Xut‘fjnsl[ª»X=«r„as…qXˆ·TNf`fjr®· >ªªª¦êliœv!“¥X=uV‘f`nql¦nqlh…V¦STVX¬W'ac’x¹\aDŸ»_asBnqbtf

fjTVX[uV‘¶3XlhXxNf ˜°’xtuV_ nsœ1S^Ÿ k ™qX=l`_`‘nqxV_"{SacTVneXc¡t\&XxtnV¡žX=…Nas_¡ "X!ª “Ê\&XxVnO}ÔasxVuˆf`TVX‘l¯v=nqWrVasl`‘_`nqx'asl`X

·Ô\ vzqƒe¡„\ DŸ}s~s~tYq¡„\aDŸ} hstYasxtu—\aDŸ} hsN}e¦

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

Sª¯n{f`ljasxV_hr3nslhfÔrVl`ncfjnJvnq›‘_žasl`X^r„aslif¯ncœ1S^Ÿ k3c¤Êk ·qfjTVX -<~ <,<$ 2? 4? > A, S^Ÿ k asxVufjTVX

- </. ~ 4? / A, 102 k6¦„p[_nsrVr3ns_`Xufjn 02 k6¡„S^Ÿ k ’_&a¬l`X=›’£acV›’X&fjl`asxV_`rBnqlif&rVl`nsf`nev=nq› {³©„nŒª

vnqxNf`l`nq›}¯œnqlvnqxtxVXv!fj’nsx´nqlh’X=x°f`Xu›’‘xV˜°_{8_hXX FÛ}s~cHasxVuF¸YK~H}!¦

S^Ÿ k3c¤Êk asl`vwTV¸fjX=v=fjbtl`X’_¬…q¸™qX=x ‘xmD’…qbtl`X¹Yq¦RSTVXS^Ÿ k%TVXKasutXl¬vnsx°fjas’xt_‘xtœnqlhW'acf`’nqxRasBnqbtf

_`nqbtl`vX‚asxVu'utX_hf`’x„afj’nsxI¡erVasvw˜sX!f›’X=xV…sfjT®¡°ª&‘xVuVnŒª _`‘±X*{8_`X=X€eX=v=f`’nqx}J¦æ} }”¡Jasvw˜°xVnŒª&›’Xut…qWX=xNfK¡trtl`’nsl`‘f¥gs¡

X=f`vs¦mSTVX=_`X[S^Ÿ k“•TVXKasutXuˆr„acvw˜sX=f`_aslhX^vas›’›‘Xu

<$…~I <

{r„asvw˜cX=f btxV‘fԐ’xvKac_`X^nsœ1aS^Ÿ kvnqxVxtXv=f`’nqx }!¦

STVXš¤Êk TVXKacuVXl_`rBXv=„X=_´¸fj_§›‘XxV…sf`TI¡f`TVXfjl`asxV_`rBnqlif´rtl`nsf`nev=nq›x{8S^Ÿ kÄnql 02

k3}!¡ f`TVX«_`nqbtl`vX:asxVu

uVX_ifj‘x„acfj‘nqxˆ¤Êk asuVuVlhX_h_`X_&acxVu§uV‘¶3XlhXxNf ˜°‘xVuV_ nsœ nsrtfj‘nqxV_»_hbVvwT"as_»lhnqbtf`X‚l`X=vnqlhuV’xV…t¡Jf`’WX_ifwasWrV’xt…V¡

X=f`vs¦žp _`X…sWX=x°f^X=xVvKasrt_`bV›’acfjX=u"ª&¸fjT´asx¤ÊkHTVXKacuVXl&’_ f`TVXx´vKas›‘›’X=ua

~

¦

3547698;:=<?>A@?BAC:D:9>EBA<?8FC:

GHDH9I8;BEJK<?8FC:

:9>A<5L+C@?MN8F:O<?>P@RQSJBA>

HDT=UWV8;BEJ I :D>A<XL'C@?M Y[Z \]^Z`_Eababcedefg_Ah5deij

\]^Z`_Eababcedefg_Ah5deij

J

H9HDI

8FBJK<?8FC:

k)l'4

3m4 _Eababcedefg_Ah5deij

\]^Z

Y[Z

_Eababcedef

npobq5r?s obq5r?s

:9>A<5L+C@?M%Qt@gJKu%>v6 w J<gJx@gJKuy6 V>Exu%>E:=<(6

zs _E{

r |

_Ah5_

|

_Ah5_

|

_Ahm_

} r _ |

rgs } r _ |

r?s

} r _ |

r?s } r _ |

rgs

|

_Ahm_

} r_ |

r?s } r _ |

r?s } r _ |

rgs

|

_Ahm_

~"J U >A@V 6

\]^Z €'Z

sXr cedF_Ebc

rƒ‚

jbij

s„r cedF_Ebc

rƒ‚

k…@gJK:

VRH

C@R<

H

@?C<?C=BEC

I

8F:=<?>A@RQSJKBE>

:D>P<5L'CK@?M

D6’…qbVlhXFYq·

0[ |03254‡†+ˆ,4 A,>,A%€D

E ‰Š‹#NŒK&Ž

S^Ÿ ky’_a«©Vn>ª vnqxNf`l`nq›&rVlhnsfjnJvnq› f`T„acfuVX!fjXv!fj_vnqxt…qX_ifj’nsx fjTtl`nqbV…sT ›‘nq_`_hX_¦ ¤•f’_„as_hXuHnsx BnsfjT

asvw˜°xVnŒª&›’X=uV…qWXxNf[lhXv=Xrtf`’nqx"asxVu"_`›‘’uV‘xV…{ª&‘xVuVnŒª¦

¤¥xtuVXX=uI¡XasvwT _`bVv=vX=_`_hœbt›’›‘gHl`X=vX¸™qX=u*r„acvw˜sX=f‘_™cas›‘’u„acf`Xu acxVu vnqx „l`WXu­f`nRfjTVX_hnqbVlhvXNg­a

_`Was›’›er„asvw˜cX=f¯vKas›‘›’Xu¬p^Ÿ {

*25‚† ƒ ;…

}!¦STV’_mp^ŸEv=nqxNfwas‘xV_¼fjTtX^_hX °bVX=xVvXxJbtWF3X=lžnsœ¢fjTVX&xVX”def

X!derBXv=f`Xu"NgJf`XasxVuaFlhXvX=‘™sXl _ ª&’xtuVnŒª*_h’±=X‚…q‘™J‘xV…{‘xtœnql`Wacf`’nqxasBnqbtf ¸fj_ tbt¶®X=l nJvvbtr„asxVv!gq¦38»btf

fjTVX¬WnqlhX{r„asvw˜cX=f`_gsnqb_`X=xVuI¡1fjTVX{WnqlhXFp^Ÿ_‚gqnqb«›‘XKaK™qXFf`TVl`nqbt…qTVnqbtf[fjTVXFxtX=f¥ª¯nql`˜¢¡asxVu¹f`TVX¬Wnsl`X

fjTVXxVX=f¥ª¯nqlh˜—W’…qTNf^3X›’nNacuVXu‰{8X=™sXx¹f`TVnqbV…qT´fjTVX=_`XFr„acvw˜sX=f`_aslhX{_`Was›‘›}!¦STVacf‚‘_^ª&TNg"fjTVXl`Xv=X¸™qXl

_`nqWX=f`’WX_ª»as‘f`_^œnql&Wnql`Xu„acfjaf`nˆasvw˜°xVnŒª&›‘XuV…qX3X!œnql`X_`X=xVuV‘xV…ˆasx"p^Ÿ¬¦3STtnq_`Xp^Ÿ_[asl`XfjT°bV_

vKas›‘›’X=u

';

p^Ÿ_¦žSTVXxJbtWF3X=l \ nsœI_`X…sWX=x°f`_¯™cas›‘’u„acf`Xur3X=l»p^Ÿ²‘_Ôf¥gJrV‘vKas›‘›‘g¬X JbVas›Bf`n'Ynql }

asvv=nql`ut’xV…fjnf`TVX[‘Wrt›’XWXxNfjacfj‘nqx¬nsœ1S^Ÿ k _`T„acl`Xu'°gf`TVX[X=xVuVrBnq’xNfj_=¦kBnŒª¯X=™qX=l¡„afj‘WX=l3X¼ª&’›‘›„_`X=f

fjTVX^uVX=r„aslhf`bVl`X^nsœIasx'p^Ÿ²¸œ®xVnxVX!ª u„acfja‘_žf`nBX^p^ŸX=uˆBX=œnqlhX&f`TV’_mf`’WXlmX!derV‘l`X=_¦mSTVX=l`X=œnsl`Xs¡J‘œ

a¬r„asvw˜sX!f‚acl`l`¸™qX=_&asxVu§fjTVXxtX!dJf^nqxVX_&…qX!f&›’nq_ifK¡JfjTVXlhXvX=‘™sXl&vKasx´acf›‘XKas_if^asvw˜°xVnŒª&›’X=uV…qXfjTVX Vl`_hf^nqxtXs¦

p_FWXxNfj‘nqxVXuBX=œnsl`Xs¡mS^Ÿ k ’_FVas_`X=u nsx a—_`›‘’uV‘xV…´ª&‘xVuVnŒª utgJx„asW’vs¦«STV‘_F_`›‘’uV‘xV…´ª&‘xVuVnŒª¡

’xV¸fj’as›’‘±Xu¹f`nRYq¡6…q‘™sX_fjTVXxJbtWF3X=lncœNgJf`X_{f`T„acf{vKasx:3X_`XxNf¬BX=œnsl`Xl`Xv=X¸™e‘xV…¹acx°gšp^Ÿ¬¦1‘ÔacvwT

fj‘WXacx"p^Ÿ.asl`lh‘™sX_ {ª&¸fjTVnqbef&asxNg§›’ns_`_ uVX!fjX=v=fj‘nqxI¡¢as_utX_`v=l`‘3X=u´›’acfjX=l,}!¡JfjTVX‚ª&‘xVuVnŒª*_`›’‘uVX_ f`n¬fjTVX

l`‘…qTNf3Žac_ _`TVnŒª&x§‘x1D‘…qbVl`X[}gŽf`n{lhX›’Xas_`X[’xNfjnfjTVXxVX=f¥ª¯nql`˜'as_»WasxNgNgJf`X_&as_ÔfjTVX[p^Ÿ ™cas›‘’u„afjX_=¦

(8)

h

BnŒª¯X=™qX=l¡„fjTtX‚ª&’xVuVnŒªA_`‘±Xc¡VuVXxtnsfjX=u"Ng p¬’x§Ng°fjX_nslYnԐ‘xˆ_`X=…qWXxNfj_=¡„’_ Wneut„X=u§asvv=nql`ut’xV…

fjnfjTVXas›‘…qnqlh‘fjTtW rtl`X_hXxNfjX=u—‘x—€JXv=f`’nqx—}e¦êƒasxVuuVX_hvlh’BXu—‘xˆfjTVX\aDŸ}s~q~tY { Fê}eYH }!¦

“ ”’

¦¸¦‘¦

V>E:=<J: w V >E:=< J: w @?>EJ w U U

<?>

V

G

l(> w L J8e<?8F:DxvQtC@

JKBPMO:9CL I> w xu%>E:=<

<?C

>

V >E:=<

BEC:Dx>

V

<?8FC:L)8F: w CL

D’…qbtl`X}e· !#U… ƒ & ƒN

D6’x„as›‘›‘gs¡°f`TVXlhX{acl`X‚f¥ª¯n˜°’xtuV_&nsœ›‘nq_`_&uVX!fjX=v=fj‘nqx«·

ÚK×ÙêÞ

!

Ì#"%$IˌÎ'&(

*)+-,.

Ð/0"21žË`Ð/

4365 Î7"&8(

çêÖëß ëMÚ9;: Úhà=ß çÛÖ=ë8ßëMÚ9;: Úhà=ß

ë8Ú<9;: Úiàß1ÞPÚÊßMޕè”àcë=: ÙæëMëMÙêÖ=à

”>? (-@ è!Ùߕë®ìÇÖ!Þ*A

B ޕëß*CDßMÚ8A

ëMÚ9E:»ÚhàßIÞPÚÊßPÞPè!àë':»ÙæëPë8ÙÛÖ!à ßPÙ0: ÚiÞ

#FŒã>×>çÛÙæåièwßPÚ ”>?më

D‘…qbVl`Xƒe·HG

<,</,A$ ~I,A,- <~.<D

I

uVX!fjXv!fj‘nqx'Ng %~I; € ¡enql3XKJy·¼‘œ®xVn{p^Ÿ ’_Ôl`X=vX=‘™qX=u'œnqlԁNgJf`X[x°bVWFBXl3p—BX=œnsl`X&fjTVXX!derV’lig

nsœaRfj‘WX=lIXML{tdeXuAnqlˆbtr3u„afjXu Ng lhnqbVxVu­f`l`‘r uVX›’aŒg WXKas_hbVl`X=WX=x°f`_,}”¡fjTtXxAa

%~I; €

nJvvbtl`_¦§STtX_hX…qWXxNfF_ifwaslifj‘xV…§ª&‘fjT:NgJf`XIp ’_vnsxV_`‘uVXlhXuR›‘nq_hfasxtuR’_f`TJbt_{l`X!fjl`asxV_`W‘fhfjX=uI¡

asxVu"xVnWnql`Xu„afwa¬’__hXxNf[btx°f`’›INg°fjXp«’_p^ŸXu‰{8_hXX}e¦êƒ¬œnsl œbVlhf`TVXl&uVX!fwas‘›’_,}ON

I

uVX!fjXv!fj‘nqx¬Ngf`TVXaslhl`‘™cas›°nsœ

, €=&U$A;/ *25‚g<

¡snsl@XKP ·‘œ¢a[_hX…qWXxNfmBX…s’xVxV‘xV…ª&¸fjTFNg°fjX

p ’_›‘nq_hfVbef_hnqWXFœnq›’›‘n>ª&‘xV…ˆ_hX…qWXxNfj_aslhXlhXv=X‘™sXuI¡XKacvwT:nsœ¯fjTVX=_`X¬ª&’›‘›¼…qX=xVXl`acfjXasx«p^Ÿ

l`X °bVX_ifj’xt…šNg°fjXIp¡mfjT„afF’_nqxVXˆp^Ÿ l`X JbtX_hf`’xV…Ng°fjX|p­asxVu_`btvvX=_`_h‘™qXuVbtrV›’‘vKacf`X'p^Ÿ_¦

STVXl`X=vXrefj’nsxšncœ¯f`TVX¬fjTV‘l`u«uVbVrV›‘’vacfjX¬p^Ÿ {|_`’W’›’asl[p^Ÿ_}‚ª&‘›’›6T„as›‘™sX¬fjTVX¬ª&’xtuVnŒªyasxVu

…qX=xVXl`acfjXFf`TVXF_`X=…qWXxNfl`X!fjl`asxV_`W’_h_`‘nqxI¦‚¤¥x¹œ8asv!fK¡IutbVrV›’‘vKacf`X{p^Ÿ_vKacx3XFutbVX{fjn§ut’_`nsl`uVX=l`Xu

_`X=…qWXxNfl`X=vXrefj’nsxI¡ asxVufjTtX¬asl`lh‘™cas›6nsœÔnqxVXFnql‚f¥ª¯nuVbVrV›‘’vacfjXp^Ÿ_‘_‚xVnsfv=nqxV_h’uVX=l`Xu:as_a

rVlhnensœ6nsœ6›’nq_h_¦

'Q &R TS (Ž^R &R $URWV #WVXSYR%$+Œ

S^Ÿ k,©Vn>ª v=nqxNfjl`ns›v=nqxV_`‘_hf`_'’x fjTVlhXX´rVT„as_hX_¹·

< ƒ <$

¡

A, …,<$ †A,

asxVu

~I; €‡

¦

STVX‘lfjl`‘…q…qX=l`’xt…F’_&vnsx°f`l`nq›‘›’X=u§°g›‘nq_`_X!™qX=x°f`_‚asxtu"f`TVXvnqWr„aslh’_`nsx"ncœ6f`TVXvnqxV…sX_hf`’nqxª&’xtuVnŒª²_`‘±X

{ pnqlan }¯fjn¬f`TVX < ƒ < (?,<, {Z[Z]\<^`_ba-Z[^´Ng°fjX_^nqlandcfe_`X…sWX=x°f`_,}”¦

(9)

f I

< ƒ‰< (

{'Z Zc} ·kn

Jˆn K^XasvwTf`’WX&asx'p^Ÿ²‘_ÔlhXv=X‘™sXu {\»_`X=…qWXxNfj_¯p^ŸX=u#}!¦m¤•œ®fjTVX

ª&TVnq›‘XFª&’xVutn>ª.…qX!fj__`btvvX=_`_iœbV›’›¸g¹fjl`asxV_`W‘fhfjX=uI¡®fjTtXxš‘f‚ª&‘›’›…qXxVX=ljacf`Xn b\'p^Ÿ_=¡ ª&TtXl`X

¬utXxVnsf`X_^fjTVX_`Was›’›‘X_if‘xNfjX…sXl ¦ D„nqla\ J ^q¡Baª&‘xVuVnŒª nsœm_h’±=X*n ª&‘›’›If`TJbt_…qX=xVXl`acfjX

n

p^Ÿ_=¡B_hn‘fª&’›‘›®…qlhnŒªEœl`nsW n

f`n ` n

¦¯Ÿ»nqxV_`X °bVXxNfj›¸gq¡„fjTtXv=nqxV…qX=_hf`’nqxª&’xVutn>ª*…qlhn>ª&_

X!derBnqxVX=x°f`£as›‘›‘g'uVbVl`‘xV…FfjTtX_h›’nŒª²_ifwaslif^rVT„as_hXbN

I

A, …,<$ †A,

{‡}·XKasvwTHp^Ÿ lhXv=Xrtf`’nqx acuVuV_u^b nF_`X=…qWX=xNfj_f`nRfjTtX´ª&’xtuVnŒª

_`‘±Xc¡„_`nfjT„acf&f`TVXp^ŸWXxNf^nsœ6fjTVXª&TVnq›‘X‚ª&’xVutn>ªE’xVv=l`Xas_`X=_+nԁ°g ^b\Œ¦»Ÿ»nsxV_`X JbtXxNfj›¸gq¡¢fjTVX

vnsxV…qX_ifj‘nqx"ª&‘xVuVnŒª*…ql`nŒª&_^›’’xtXKaslh›‘gu{8nsœ6nqxVX_hX…qWXxNf^X=™sXlhg]\l`nqbVxtuV_,} uVbVlh’xV…¬f`TVXvnqxV…sX_hf`’nqx

aK™qnq‘u„asxVv=XrVT„as_hXbN

I

~I; €‡

{7\}·tohbV_ifaœ³fjXl aYXKJ­›’nq_h_1uVX=f`Xv!fj’nsxI¡f`TVXÔasrVr„acl`XxNf`›‘g›‘nq_hf _hX…qWXxNf’_ l`X!fjl`asxV_`W‘fhfjX=uI¦

pœ³f`XlXKasvwTlhX=fjl`asxV_hW‘_`_`‘nqx«œ8as’›‘bVl`Xc¡f`TVX'fj‘WX=l™sac›’bVXuVnqbVt›’X_1{œlhnqW X L{f`n`XMLŒ¡X LŒ¡X LK¦¸¦¸¦}

bVxNfj‘› XMLŒ¡ asxVu«fjTtXxšl`XWas‘xV_‚vnsxV_hfjasxNf1{8asxVuš…qX=f`_„asvw˜—f`n]XMLacffjTVXX=xVu:ncœ¯f`TV’_‚f`’WX!“¥nsbtf

rBXl`‘neu®¡tfjT„af&’_ ª&TVX=x´fjTtXv=nql`lhX_hr3nqxtuV’xV…p^Ÿ%acl`l`¸™qX=_,}!¦

STtX{©„nŒª vnqxNfjlhnq›¼ac›’…qnqlh‘f`TVW ª&TV‘vwTvwT„asljacv=fjX=l`‘±X_fjTVX¬\&Xxtn'™qX=l`_`‘nqxnsœžS^Ÿ k¡IuVX_hvlh’BXu’x´fjTVX

\ DŸ}s~s~tY { Fê}eYH }»’_&as_œnq›‘›’nŒª&_¡Jª&TVXlhX uVX=xVnsfjX=_^f`TVX…ql`XacfjX=_hf^’xNf`X…qX=l ¦

I

’xt‘fj’as›’‘±Kacf`’nqxª&‘f`Tn

J^¬asxVuGndcfe

Jyndcfe

L { FÛ}JYHlhXv=nqWWXxtuV’xV… fh hcƒhNg°fjX=_,}ONZ Z{rtT„as_`X

as_&›’nsxV…as_ nrndcfe

L

asxVu"xVn›’nq_h_nev=vbVlh_]N¢‘œ@nÔl`XKacvwTVX_ ndcfeN¡„_hª&‘f`vwT´‘xNfjna 'rtT„as_`X N

I

‘œ aXKP ›‘nq_`_nJvv=bVl`_=¡fjTVX=xCndcfe

J"!$#&%'&n >b `&((`)asxtuqn

J*!$#&%'+n b `&(^&)+N¼_iª&‘f`vwT

’xNf`na 'rVT„ac_`XbN

I

‘œa XKJ ›’nq_h_&nev=vbVlh_¡VfjTtXxun cfe

J,!$#&%'& n b `&((`)¯asxVuun J ^N„_iª&‘fjvwT"’xNf`na \{rVTVas_`X N

I

ª&TVX=xRa \rVTVas_`X¬X=xVuV_ {8›‘nq_hf_hX…qWXxNfp^ŸXu#}”¡1fjTVX=xšX=xNfjXlasxtušlhXWas’x‘xNfjna Z[ZrVTVas_`Xas_

›’nsxV…as_anrndcfeasxVu"xVn›’nq_h_&nev=vbVlh_¡¢asxVufjTtXx"_hª&‘f`vwT´‘xNfjna 'rtT„as_`Xc¦

- ) §

¤•œf`TVX§uV‘_`r„acf`vwT uVbVljafj’nsxnsœas›’›žfjTVX§_hX…qWXxNf`_acxVu nsœas›’›žfjTVX§p^Ÿ_TVX=›’u ’xa…q¸™qX=x ª&‘xVuVnŒªÄ’_

xVX…s›’’…s’V›‘XvnqWr„aslhXuf`n{fjTtX €‡& l=u~I \SS¡°fjTtXx'ª¯X‚vKacxohbV_hf`‘œ³g¬f`TVXœnq›‘›’nŒª&’xt…utX „xV¸fj‘nqx'nsœ

€‡&

…q¸™qXx‘xqFÇYsHM¡ FÇYcvHmacxVuCFtzH ·^a

€‡&

’_^fjTVX{r3X=l`’nJu¹nsœmf`’WX{BX=f¥ª¯XX=xšf`TVXFuVX=r„aslhf`bVl`X{nsœžfjTVX

„l`_if_`X=…qWXxNf‚nsœmf`TVX{v=bVl`lhXxNf‚ª&‘xVuVnŒª.asxVu—f`TVXFaslhl`¸™sac›1nsœž‘f`_p^Ÿ¬¦®STtXF›’‘xVXKasl&uV’as…ql`asW’xuD’…qbtl`X

|´_hTVnŒª&_f`T„acffjTVXuVbVl`acfj‘nqxšnsœ al`nsbVxVuR‘_v›’ns_`X¬fjnfjTVXl`nsbVxVu:f`l`‘r«f`’WXFª&TVXxšfjTVXuVX=›£aKgqX=uRp^Ÿ

fj‘WX=l X  ‘__`Was›’›3vnqWr„aslhXu§fjnfjTtX\6SS¦

µ:Xˆac’W fjn—WnJuVX›mf`TVXª&‘xVuVnŒª,3X=T„aK™J’nqlbV_`‘xV…a´TtnqWns…qXxVX=nqbV_uV’_hvl`X!fjX”“•fj‘WX'–—aslh˜snŒ™:vwT„as’x

. J/'0. o1)$o32

L

ª&¸fjT´f¥ª¯nˆv=nqWrBnqxVX=xNfj_4. o J/'$n

o

(,ncfe

o

)w¦^STVX „lh_hf[vnqWr3nsxVXxNf"n

o

utXxVnsf`X_=¡3ª&TVX=x

r3ns_`‘f`‘™sXs¡ fjTVXª&’xVutn>ª%_`’±=XutbVl`‘xV…"f`TVXIp¢“•f`T:lhnqbVxVuI¦§STtXx°bV›‘›ž™cas›‘bVX¬œnql n

o

’_bV_hXuRf`n´lhXrVlhX_`X=xNf

fjTVXf`’WX!“¥nsbtf rBXlh’nJuI¦¼STVX_`X=vnqxtu´v=nqWrBnqxVX=xNf n cfe

o

uVX=xVnsfjX=_fjTVX™cas›’btX‚nsœfjTVX_h›’nŒªE_ifwasliffjTVlhX_hTVnq›’u

uVbVlh’xV…¬fjTtXp¢“•f`T´lhnqbVxVuI¦¼µ:XuVXxtnsfjXNg]n6587:9[fjTVXWade’WFbtW ª&‘xVuVnŒª²_h’±Xc¡Vª&TV’vwT"’_ f`TVXl`X=vX¸™qX=l _

Vbt¶3Xl vasr„asv=‘f¥g’xtuV’vacfjX=u'’xfjTVX[p^Ÿ_=¦mSTVX‚uVX=_`v=l`’refj’nsxˆnsœIf`TVX[_ifwacf`X‚_`r„acvX‚nsœ®fjTV‘_–—aslh˜snŒ™vwT„as’x

’_…q¸™qX=xI¡„Wnsl`X‚œnqlhW'as›‘›‘gs¡eNg

I . o J;'0<=(?>@)Ôª&‘f`TA<CBEDO^(GFGFGF ((nH587:93I{asxVuJ>JBKD`L(GFGFGFM(@nH587:9b `&NI{‘œ fjTtXx°bVW{3X=l^ncœ_hX…qWXxNfj_

_`X=xNf[uVbtl`’xt…f`TVXvbVlhl`X=x°f^lhnqbVxVu"’_O<ÔasxVufjTtX_h›’nŒª*_hfwaclhf&fjTVlhX_hTVnq›’u‘_C>¢¡

(10)

v

ë8Úhà FŒÚiÞ

 ÞMÖ=ã>à F

 ÞMÖ=ã>à F

ÞMÖ=ã>à F

ÞMÖ=ã>à F

3ÞMÖ=ã>à F

ÞPÚhåiÚiÙ! !ÚhÞ

"$#&%('*),+.-(/&01"324"5""3#4"3%6"7'6"3)6"3+4"8-4"3/4"30#52

"$#&%('*),+.-(/&01"324"5""3#4"3%6"7'6"3)6"3+4"8-4"3/4"30#52

"$#&%('*),+.-(/&01"324"5""3#4"3%6"7'6"3)6"3+4"8-4"3/4"30#52

"$#&%('*),+.-(/&01"324"5""3#4"3%6"7'6"3)6"3+4"8-4"3/4"30#52

"$#&%('*),+.-(/&01"324"5""3#4"3%6"7'6"3)6"3+4"8-4"3/4"30#52

"$#&%('*),+.-(/&01"324"5""3#4"3%6"7'6"3)6"3+4"8-4"3/4"30#52

"$#&%('*),+.-(/&01"324"5""3#4"3%6"7'6"3)6"3+4"8-4"3/4"30#52

"$#&%('*),+.-(/&01"324"5""3#4"3%6"7'6"3)6"3+4"8-4"3/4"30#52

9 ] :<;"8=

%#

9 ] :<;

#?>%@=

9 ] :<;'A>)@=

9 ] :<;

+@=

)

' +

- 0

/

"32

"5"

9 ] :<;-B>/@=

9 ]

:<;0?>C"32@=

9 ] :<;"5"8=

"3#

"3%

"7'

"3)

"3+

"8-

"3/

"30

D§ÙÛà FŒÖ

@ (

"

D6’…qbVlhX|V· .*7Ek $ e / I €&GF BHO~ =&"< ƒ <$( = -<+ƒ \ J `JI

I . o J;'8K@(?>@)¼ª&¸fjT >JBED`L(GFGF FM(@n6587:9b `&I‚ª&TVXxˆf`TVX‚v=nqxVxVX=v=fj‘nqxˆ‘_¯‘xˆaf`’WX!“¥nsbtfÔr3X=l`’nJuª&‘fjT

fjTtl`X_hTVnq›‘u >„¦

p_›’nqxt…§as_n

o J < ^q¡ a'f`ljasxt_`‘f`’nqx—nsœžfjTVX–¹Ÿ l`X=rVl`X=_`X=x°f`_nsxVX¬l`nqbtxVu«asxVufjT°bV_›’as_hf`_"V+XYX

_`X=vnqxVut_¦[STtX{nqJohX=v=f`‘™qX’_&fjnW'as˜cXf`TVX{WXKacx´uVbtljacf`’nqx‰{8’x"_`X=vnqxtuV_,}ncœžaf`’WX!“¥nsbtf&r3X=l`‘neuLNMX

cPO?Q

X °b„as› fjnfjTVXWXasx—x°bVW{3X=l[nsœm_hbVvv=X_h_`‘™sXF™J’_`¸fj_&fjnfjTVX_hfjacfjX 'RK@(?>@)»WFbV›¸fj’rt›’’X=u§NguV+XYX¦ µ:XfjT°bV_

uVX VxVXf`TVXf¥ª»nœnq›‘›’nŒª&’xV…fjljacxV_`¸fj’nsxV_»œl`nsW XKasvwT"_hfjacfjX$'8K@(?>@)w¡tœnslC> J `L( FGFGF (Ln6587:9b`&'·

I

aFfjl`asxV_`¸fj‘nqxˆœl`nqW 'RK@(?>@)mf`n ' ^N(?>@)mª&¸fjT"rVl`nqVasV’›‘‘f¥gZULacffjTtXX=xVu"nsœ¼a¬fj‘WX”“¥nqbef rBXl`‘neu®¡

I

aFfjl`asxV_`¸fj‘nqxˆœl`nqW 'RK@(?>@)žVasvw˜ˆfjnA'RKL(?>@)žª&‘fjTrVlhnq„ast’›’¸f¥gu^SGZLnsf`TVXliª&’_hXs¦

¤•f¼œnq›‘›’nŒª&_f`T„acfTLUMX

cPO?Q

J V+XYX bZULK¦¤¥x€JXv=f`’nqx*ft¦‘Ys¡cª¯Xnqtfwac’xf`TVX»X”derVl`X=_`_`‘nqxnsœVLNMX

cPO?Q

as_maœbtxVv=f`’nqx

nsœ@V+XaX¡ZI¡VasxVufjTVX’xt‘fj’as›„fj‘WX=l ™sac›’bVX+XMLŒ¦

STtX{–—ŸA_hfjacfjX_hr„asv=X.Wy‘_a¬_`bVV_hX=fnsœXW*YŠJ DZK@( FGFGF ((n6587:9&I.[KD`L( FGFGF (@nH587:9b`&NI°¦mp[_ ª¯X_`T„ac›’›

_`X=X3X=›’nŒª¡Jf`TVX‚_hX=fj_W%asxVu\W&Y„aslhX‚xVnsf»X °b„as›3_`‘xVvX_`nqWX[_ifwacf`X_ nsœ]W&Y¢aslhX[xVX!™qXllhXKasvwTtXuI¦3BnŒª¯X=™sXl¡

ª»Xvasxas›’lhXKasuegxtnsfj‘vX»f`T„acfœnslkn6587:9YJy^^K@(`_aK@(^^KaK@((`aKbKe¡>f`TVX _hX=fcW*YqvnqxNfwac’xV_¼lhX_hr3X=v=fj¸™qX=›‘g V¡Š^c` `&V¡

ededasxtu^^dbdbdF_hfjacfjX=_¦

STtXS^Ÿ k“¥\^X=xVnv=nqxV…qX=_hf`’nqx"vnqxNf`l`nq›1WXvwT„acxV’_hW_vasx"f`TVXx"BXuVX_hvl`‘3X=u¹as_ œns›’›’nŒª&_=¦

I

Z^f0[ Z]\ _[\ {'Z Zc}·[X!der3nsxVXxNfj’as›…sl`nŒªfjT«nsœžfjTtXFª&’xVuVnŒª._`‘±Xas_‚›‘nqxV…as_.^ yn

g

wndcfe

g

asxVu

xVn›’nq_h_nev=vbVlh_¡

(11)

s I

cpa-Z]\ < cpEL <6 p*;aW{‡}·&›’’xtXKasl&…qlhn>ªf`T¹nsœmf`TVXª&‘xVuVnŒª.as_[›‘nqxV…ˆac_gndcfe

g n

g nH587:9

{ª&TtXxn l`XasvwTVX_ nH587:9¡„‘f&l`X=W'ac’xV_ v=nqxV_ifwasxNf(}asxtu´xVn›‘nq_`_&nJvvbtl`_¡

I

›’ns_`_uVX=f`Xv=f`’nqx:Ngšf`TVXasl`lh‘™cas›mnsœ¯fjTVlhXX'utbVrV›’‘vKacf`Xp^Ÿ_1{XKP|}¬· n

g

L

J*!$#&% '&n

g

b`& (^3)

asxVuundcfe

g

L J !J#+%'& n

g b `& ((` )`¡VfjTVX=x´‘xV‘f`£acf`X‚a¬xVX!ª vnqxt…qX_ifj’nsx´aK™snq’u„acxVvXrVT„ac_`Xs¡

I

›’ns_`_‚uVX!fjX=v=fj‘nqx¹Ng \ <a!“ `\*{ XKJ*}·+n

g

L J KˆasxVuendcfe g

L J !$#&%' %n

g b `& ((` )`¡3f`TVXx«X=x°f`Xla

xVX!ª\ <a!“ `\5Z a]_3< „¡

I \ <a!“ `\ { \}»·¢ohbV_ifÔacœ³fjX=lža"XKJ²uVX!fjX=v=fj‘nqxI¡qf`TVX&_`X…sWX=x°fԐ‘_ml`X=f`ljasxt_`W‘f`f`Xu¬bVxNf`’›tf`TVX&l`Xv=Xrtf`’nqx

nsœ[asx asvw˜°xVnŒª&›’X=uV…qWXxNfœnqlFfjTV‘_F_`X=…qWXxNfu{8_`X=X´€eXv!fj’nsx fe¦‘Y§œnqlFœbVlifjTVX=l¬X!derV›’asx„acf`’nqxV_}!¡ÔasxVu

fjTtXx´axVX!ª²_h›’nŒª²_ifwaslif&rVT„as_hXBX…q‘xV_ ª&‘f`Tn

g

Jy^q¦

 ) ¾Ôp*_h’WrV›’XX”dtasWrt›’X&nsœ®f`TVX^3X=…q’xVxt’xV…nsœIavnsxVxVXv!fj‘nqx‘_ž…q‘™sXx'BX›‘nŒª­fjnuVX_hvlh’BX[as›‘›

fjTVX¬rBnq_h_`’t›’X{f`ljasxV_h‘f`’nqxV_nsœžfjTVX–—Ÿ[¦ D„nql[_h’WrV›’‘v‘f¥gs¡Bª¯XFfwac˜sX ndcfe

L J §_`X=…qWX=xNfj_¡ nH587:9.J §asxVu

fjTVXx°bVWFBXla\[ncœ_hX…qWXxNfj_&™cas›’‘u„acf`Xu§rBXlp^Ÿ%’_ fjas˜sX=x´X °b„as›Ifjn]^q¦

’

“

G

(

”

“’

(

ßMޕè”àcë=: Ùêß8ßMÚFëMÚ9E: Úiàß çêÖëß ëMÚ9;: Úhà=ß

G

!

"#

"#

"# "#

$

G

%

"#

!

”>?

D’…sbVl`X"hJ·

2? …,<%$ Gƒ & ƒ A, % &WA, (,<>= &… -<%$ -<D

¤•fvasx:BXxVnsfjX=u:‘xKD6’…qbVlhX he¡1fjT„afK¡1œnql’xV_ifwasxtvXs¡_hfjacfjXA'&@(L)^ª&’›‘›¼xVX!™qXlBXlhXKasvwTVX=uI¦'STt’_’_

uVbVXfjn¬fjTtXœ8acv=ffjTVacffjTVXª&‘xVuVnŒª²_h’±X=_&l`XKacvwTVXu´’x§fjTVX_h›’nŒª²_ifwaslif&rVT„as_hX{aslhX

I

œnqlY\ J ^·&Yq¡†^ ('

^

\*)

Ji`J¡#` +'

`

\*)

J V¡ st¡1Yfe¡„ƒN}e¡ fc|V¡ FGFGF

I

œnqlY\ J `§·&Yq¡†^ ('

^

\*)

Ji`J¡#` +'

`

\*)

J,&t¡#he¡#st¡®Y>}e¡IYse¡ FGFGF

STt’_FX”dVacWrV›‘X'›‘XKasuV_fjn—f`TVXˆœnq›’›‘nŒª&’xV…"r„aslifj‘f`’nqxt’xV…œnqlf`TVXˆ_ifwacf`X§_`r„asv=X§nsœfjTtX–¹Ÿ[¡ª&TV‘vwT ’_

l`X=rVl`X=_`XxNf`Xu¹‘xD6’…qbVlhX"ft¦mSTVX_hfjacfjX_hr„asvX.W%’_ ª&lh‘fhfjXx´as_$W_J W

L$-/.0-21

ª&TVXlhX

I W L J D1'8K@(?>@)43‡` > nH587:9b`&NI°¡

I 1 J D '<(?>@)53‡` >J < nH587:9acxVu >J n6587:9b `+NIN¡

I . J 6 ' <(?>@)43 ^ <C>$ n6587:9b `+asxVu27-p K_hbVvwT´f`T„acf <5J98;:

o=<

' ^3)?>t¡ª&TVXlhX@8 '')CJ

gb\N¡A8

:

L<

'')@J {¡VasxVu28

:

o=<

J98

:

oCB

L

<ED

86¡Vœnql p ^ {8_`X=X{ac›’_`n€JbVV_`X=v=f`’nqxft¦êƒ}!¦

(12)

z

(

ë8çÛÖ

@

ë8ßPè!Þ8ß ë8ßPèwßPÚhë

(

åÊÖ=à[9!Ú`ëßPÙêÖ=àèA !Ö=ÙFè”àåiÚë8ßPè”ßMÚhë

(

ßMÙ: Ú£Ö!ãŒß1×sÚiÞPÙêÖ-F‚ëß•èwßPÚhë

”

nnnnnn

nenen

“

D‘…qbVl`X+ft·

4 $ K /" g‰2 < >g<>=-A,D

STVX¹r„aclhfj¸fj‘nqx _`TVnŒª&x­‘x D‘…qbVl`X]fš’_’x œ8asv=f'aRr„aslifj¸fj’nsx ncœ[fjTtX—_hfjacfjX´_`r„acvX W Y

asxtu fjTtX—_`X!f

.

vnqxNfjas’xV_f`TVXl`XKacvwT„asV›‘X_ifwacf`X_&nsœ

.

YBuVbVlh’xV…¬f`TVX_`›’nŒª*_hfjaslhf^rVT„ac_`Xs¦

STt’_uV’_hvl`X!fjX”“•fj‘WX–¹Ÿ ‘_‘l`lhXuVbVv=’V›‘Xs¡6asrBXl`‘neut’vasxVu:T„as_{a „xV¸fjX_hfjacfjX_`r„asv=XUW¦"¤•f’_fjT°bV_

Xlh…qneut’vasxVu¹¸fj_^_hfwafj’nsx„aslhgˆuV’_ifjl`‘Vbtf`’nqx¨‘_fjTtX{bVxV°bVX{uV‘_hf`l`’tbtfj‘nqx§™qXlh‘œ³gJ’xt…yJRª&TVXlhX

’_ f`TVXfjljacxV_`¸fj’nsx§rVl`nqVasV’›‘‘f¥gW'afjl`Çd3¡eª&TV‘vwT´‘_…q‘™sXx’x´€eX=v=fj‘nqx"|V¦

¤¥xFª&TVacfmœnq›’›‘nŒª&_¡cª¯XvnsxV_`‘uVXl¼f`TVX&–¹Ÿ’x¬_ifwacf`’nqx„aclhgl`X=…q’WX asxtuª¯X&as_h_`bVWX»fjTVacf¼fjTtX_`nqbVlhvXBX!“

T„aK™qX=_mas_6a_jafjbVl`acfjX=u{_`nsbVl`v=Xs¡sª&TV‘vwTFWXKasxV_ fjTVacf fjTVX=l`X acl`X¯as›‘ª»aKge_r„asvw˜cX=f`_ª ac‘fj‘xV…&œnql1fjljacxV_`W’_h_`’nsxI¦

µRXbV_hXf`TVXœnq›’›‘nŒª&’xV…Fxtnsfwacf`’nqx§‘›’›‘bV_hf`ljacf`Xuˆ‘xD6’…qbVlhX"ve¦

I

cPO

·Ôx°bVW{3X=lnsœ¼_hX…qWXxNfj_f`ljasxV_hW¸f`f`XuuVbVlh’xV…a¬fj‘WX”“¥nqbtf»r3X=l`‘neuI¡

I

X

cPO

·mx°bVWFBXl&nsœ6_`btvvX=_`_h‘™qX™J’_`¸fj_nsœfjTtX{–—ŸAfjn¬fjTtX_ifwacf`X_&nsœfjTVXf`’WX!“¥nsbtfrBXl`‘neu®¡

I X

cPO

·muVbtljacf`’nqxnsœaFfj’WX!“•nqbtf»r3X=l`’nJuI¦¼µ:XfjT°bV_&T„aK™qXX

cPO

JˆV+XYX [

X

cPO

¦

I A[·mx°bVW{3X=l^ncœ_hX…qWXxNfj_&fjl`asxV_hW¸f`fjX=u§uVbVlh’xV…a¬_`›‘n>ªE_hfjaslhf^rVT„ac_`Xs¡

I

XA[·žuVbVl`acfj‘nqx§nsœa_h›’nŒª*_hfwaclhf^rVT„as_hXs¡

I

·mx°bVWFBXl&nsœ6_`X…sWX=x°f`_^f`ljasxt_`W‘f`f`Xu§uVbtl`’xt…a¬v=nqxV…qX=_hfj‘nqx´aŒ™snq’uVasxVvXrVTVas_`Xc¡

I X

·ÔutbVljacf`’nqx§ncœ¼a¬vnsxV…qX_ifj‘nqx—aK™snq’u„acxVvXrVT„ac_`Xs¡

I

·mWXasx§x°bVWFBXl&nsœvnqxt…qX_ifj’nsxaŒ™snq’uVasxVvXrVTVas_`X=_^‘xa "!f'ax{P¦Xs¦mBX=f¥ª¯XXx"f¥ª»n¬f`’WX!“¥nsbtf

rBXl`‘neut_,}!¡

I $#

O

P[·žWXasxxJbtWF3X=l&nsœ›‘nq_`_utX=fjX=v=f`’nqxV_&rBXl&v=gJv=›’Xs¦

µ:X_hf`bVutgˆf`TVXf¥ª»nœnq›’›‘n>ª&‘xV…©Vn>ª&_.{8_hXX FtzcH}‚·

I

STVX5aGp \X_3p*Z <.Z[ZG<?p _3\<a.EV¡„nql%Z[ap _3\<as¡„fwas˜cX_^’xNfjnasv=vnqbVxNf[as›’›®_`X…sWX=x°f`_^f`T„acf^T„aK™qX

›’X!œ³ffjTVX_`nqbVlhvXc¡¼’xVv=›’bVut’xV…›’ns_hf_`X=…qWX=xNfj_¬asxtuRl`X!fjl`asxV_`W’_h_`‘nqxV_¦'STVX'_hXxVul`acfjX’_fjT°bV_fjTVX

nqbtf`rVbtf^ljafjX_`X=Xx´°g§f`TVXxVX=f¥ª¯nqlh˜B¦

I

STVX4aGp %+,A% `\Z `\H_3\<aELŒ¡tnql L3[Z `\”¡eª&TV‘vwT"utneX=_^xtnsffwas˜cX’xNfjnasv=vnqbtx°f^xVX=‘f`TVXl

›’ns_hf&_`X=…qWXxNfj_^xVnqllhX=fjl`asxV_hW‘_`_`‘nqxV_=¡V’_ f`TVXnqbtfjrtbtf^ljacf`X_`XX=x—Ngˆf`TVXl`Xv=X¸™qXl=¦

STVX‘l&X!derVl`X=_`_h’nqx"ª&’›’›®3X…q¸™qXx"’x´€eX=v=f`’nqxft¦lhe¦mµRX_`TVas›’›1ac›’_`nBX’xNfjX=l`X_ifjX=u—’x§f`TVXljacf`’n a J ELbE

ª&TV’vwTl`X=rVl`X=_`XxNf`_¯fjTtXX9v=’X=xVv=gnsœ3fjTVX&v=nqxVxVX=v=fj‘nqxˆacxVuª¯X^_`T„as›‘›¢as›’_hnnqtfwac’xaWXKac_`bVlhX&f`nX!™cas›’b„afjX

fjTVX‘WrBnqlhfjasxVv=X‚nsœfjTVX_`›‘nŒª²_hfjaslhf&rtT„as_`Xc¦

(13)

YŒ~

$

G

7

3;3 /0"

D‘…qbVl`XvJ·

.*,<A(l=&%$ / ]A'OAD

) 1 1” = 6´=!” =

µRXas_h_`bVWX¬fjT„af›’nq_h_`X_nqxt›‘g¹nJvv=bVl’xfjTtX¬uV’lhXv=f`’nqxœlhnqW f`TVX_`XxtuVXlfjn§fjTtXlhXv=X‘™sXl {8xtn"›‘nq_`_nsœ

p^Ÿ_,}asxVu§fjTVacf^asxNgˆ_hX…qWXxNf^T„as_&a tdeXu"rVlhnq„asV‘›’¸f¥g Zˆf`n…qX=f&›‘nq_hf¦ž–´nqlhXrVl`X=v’_hX›¸gq¡VfjTtXljasxVutnqW

™casl`’asV›’XutX „xVX=u—Ng§fjTtXx°bVWFBXl&nsœvnqxt_`Xv=btfj¸™qX_`X…sWX=x°f`_^f`T„acfaslhXf`ljasxt_`W‘f`f`XuBX=œnqlhX›‘nq_`_&T„ac_a

…qXnsWX!fjl`‘vuV’_ifjlh’Vbtf`’nqxª&‘fjTr„acljasWX=f`Xlg^SZI¦

1X!f'bV_ „lh_hf_`bVrVrBnq_hX´fjTVacff`TVX"vnqxVxtXv=f`’nqx ’_’x _`›‘nŒª_hfjaslhf¡ P¦Xs¦ n

o J < > J ndcfe o ¦ p[_

›’nqxt…Fas_ÔfjTVX–—Ÿ lhXWas’xt_¯‘x'_`›‘nŒª _hfwaclhfK¡JfjTVX[vnqxV…sX_hf`’nqxª&’xVuVnŒª ‘xVvlhXKas_hX_ Ng´Y‚_`X=…qWX=xNf XKacvwTˆfj’WX

asx p^Ÿ ‘_{l`X=vX=‘™qX=uI¦¨pxVu3X=vKasbt_`X n

o

b\"_`X…sWX=x°f`_asl`Xˆasvw˜°xVnŒª&›’Xut…qXu œnql{f`TVXˆª&TVnq›‘Xˆl`nqbtxVuI¡

n

o L J n

o n

o

b\uJ †n

o

§ª&¸fjT J ^4 ^b\Œ¦STVXˆrBnq_`_h’V›‘Xfjl`asxV_h‘fj‘nqxV_œl`nqW fjTtXˆ_hfjacfjX

' <(?>@)aslhX…q‘™sXx"’xD’…qbtl`X"st¦¯¤¥x´fjTtXœnq›‘›’nŒª&’xt…FrVl`nsr3nq_h‘f`’nqxV_=¡Vª»X…q¸™qXX!derVlhX_`_h’nqxt_œnqlfjTtXxVnsxe“¥±=Xl`n

fjl`asxV_`¸fj‘nqx'rVlhnq„ast’›’¸fj‘X_mnsœ1f`TVX–¹Ÿ[¦eSTVX_hXX!derVl`X=_`_h’nqxV_BX‘xV…FXas_hgfjnFnstfwas‘xI¡°ª»X‚nsW¸f¯f`TVX[rVlhnencœ_¦

‹  Â

‰³Š

Â

.;A,

'0<=(?>@) BW

<€#A,]-

^,<> n6587:9b `&

ƒ …

I

g

!

g#"$%

J;' ^SZ ) g †  <,<* A,A€,<

I

g L

587:9 &

g(' R*) R +

J-,^$S,' ^SGZ ) g.0/

g

+ XKJ  <,<* A,A€,<

I

g

587:9

&

g('R*) L 1

587:9

*&

g(' R*) R

J-,:^S,' ^SGZ ) g .

' ^ S / g ) g

XKP

 <,<* A,A€‡<

ƒ@

/ g F A, ~ =&€‡>; C![,A$ 32 I † >,<I .=& 54,64U'u-  <,< <|€#I> ~I; €‡+ƒ@

n J<

€JbVrVrBnq_`XxVnŒª²fjTVacf&fjTVXfjl`asxV_hW‘_`_`‘nqx’_&’xv=nqxV…qX=_hfj‘nqx´aŒ™snq’uVasxVvX’x"_hfjacfjX$'0<=(?>@)w¡¢M¦êXc¦ n

o J <

> Jindcfe

o

¦mSTVXrBnq_h_`’t›’X[f`ljasxV_h‘f`’nqxV_¯nsœ1fjTtX–¹Ÿ œlhnqW _`bVvwT"aF_hfjacfjX‚asl`Xas›‘_`nF‘›’›‘bV_hf`ljacf`Xu'‘x|D‘…qbVl`X st¦

‹   ‰³ŠÂ3798 4<(…G-.A, …,<%$ †A,*… 54,U'G <,<1 |ƒ & ƒ <:94' ^b\;

gD<4'

^

<$…~I '

\

€‡&<

. *('

'0<=(?>@)

<€#A,]-

^ >J,<C„nH587:9

I

g

g%

J;' ^SZ ) g>=

^S

^

\@?

†  <,<* A,A€,<

I

g

g

L %

J;' ^SZ ) g ^\

 <,<* A,A€‡<

I

g L

587:9

&

g(' R*) R + J ,

^$S,' ^SGZ ) g. / g +

XKJ

 <,<* A,A€,<

(14)

YqY

I

g 587:9 &

g('R*) L 1

587:9 *&

g(' R*) R

J-,:^S,' ^SGZ ) g .

' ^ S / g ) g

XKP

 <,<* A,A€‡<D

¤¥x«nqlhuVXlf`n"…sX=ffjTVXWneutX›WnqlhXasvv=bVljacf`Xas3nsbtffjTVXl`as’_hX¬nsœ[Y_hX…qWXxNfX=™sXlhg\{lhnqbVxVut_¡1ª»X

_`TVnsbV›’u«uVX=vnqWr3ns_`X{f`TVX–¹Ÿ _hfwafjX ' <(?>@)&’xNf`nW\xVX!ª _ifwacf`X_¡ _`aŒg ' <(?>N(^3)j¡' <(?>N((` )j¡FGFGFÇ¡C' <(?>N(,\ )w¡1VbefK¡

„l`_if fjTVacf ª¯nqbV›’u'nsœ vnqbtl`_`X_h’…qxt„vasxNfj›‘g‘xVvlhXKas_hX[fjTtX–¹Ÿ _`’±=Xx{8X!™qX=xœnsl \ Ji`}¯asxVu§_hXv=nqxVuV›¸gq¡ef`T„acf

ª»nsbV›’u´xVnsf^vwT„asxV…sXfjTtXWXKas_hbVl`X=_ncœm’xNfjX=l`X=_hf_`’xtvXfjTVX_hfjacfj‘nqx„aslig§uV’_ifjlh’Vbtf`’nqx§nsx´fjTtX_ifwacf`X_hr„asvX

Wyl`XWas‘xV_»fjTtX_`asWXaœ³fjXl_hbVvwT¹aFf`ljasxV_iœnql`Wacf`’nqxI¦

G

”

N

N

ë8ßPè”ÞMß ëMçêÖ

@

"

”

G

N

"

N

åiÖ!à[9=Úhë8ßMÙÛÖ!à

èA =Ö!ÙF>è”àåiÚ

D‘…qbVl`X+st· -<$ -<. /" gq2r€(…x< ƒ <$ &WA, …,<$ †A,D

‹   ‰³ŠÂ !#~ (U' .;A, >@ ƒ +-

I

J;' ^SZ )

†  <,<* A,A€<

I

L

587:9 *&

' R*) R

J-,:^S,' ^SGZ )

.0/

g

XKJ

 <,<* A,A€,<

I

587:9 *&

' R*) L

587:9 &

' R*) R +

J-,^$S,' ^SGZ )

. ' ^ S /

) XKP  <,< A,A€,<D

µ TtXx§’xfj‘WX”“¥nqbtf¡NfjTVX–—Ÿ lhXWas’xt_¯‘x'_hfjacfjX 'RK@(?>@)uVbVlh’xV…

X

cPO

lhnqbVxVuV_=¡VasxtuˆfjTVX=x§…qneX=_¯f`nF_hfjacfjX

' ^N( > )j¦¤•œ@ZUL{utXxVnsf`X_fjTVXfjl`asxV_h‘fj‘nqxrVlhnq„asV‘›’¸f¥g´œlhnqW 'RKL(?>@)&fjnK' ^N(?>@)j¡ f`TVXWXasx«_`nohnqbtl`x:f`’WX¬’x

_hfjacfjX$'RKL(?>@)Ԑ’_g^cb:ZLK¡VfjT°bV_ª¯XT„aK™sX ZUL J ^baLNM

X

cPO?Q

¡VP¦Xs¦·

‹  Â

‰³Š

Â

0[ g% -<$ =& 54,64U%$,<"u%~I; €

I L % L %

Jy^S

^

LNM

X

cPOBQ

 < <$…~I -<† 4,eA,† ƒ ;…; 'O

I L % L %

J ^

LNM

X

cPOBQ

.A,† ƒ ;…~I < ((;^

pxFX!derVlhX_h_`’nsx¬nsœVLNMX

cPO?Q

J V+XYX[(LNM

X

cPOAQ

as_¼aœbtxVv=f`’nqxnsœ„fjTVXÔfj‘WX=l5XMLžasxVu{f`TVX»›‘nq_`_6rVl`ns„asV‘›’‘f¥g

Z´‘_vnqWrVbtf`Xu"’x"€eX=v=f`’nqxft¦¸Yq¦

STtX{_`TVasr3Xnsœ¼f`TVXf`ljasxt_`‘f`’nqxrVlhnq„ast’›’¸f¥gˆWacfjlh¸d ,‘_‘›’›‘bV_hf`ljacf`Xu’xD’…sbVl`Xz'acxVu´f`TVX{lhX…q‘nqxV_

vnqlhl`X=_`rBnqxVuV‘xV…f`n¬fjTVXuV¸¶®X=l`XxNf&f¥gJr3X=_&nsœ¼›‘nq_`_hX_^asl`X_hTVnŒª&x—‘xD6’…qbVlhXFYŒ~t¦

Références

Documents relatifs

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST

Unité de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unité de recherche INRIA Rhône-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST