• Aucun résultat trouvé

Products of Message Sequence Charts

N/A
N/A
Protected

Academic year: 2021

Partager "Products of Message Sequence Charts"

Copied!
31
0
0

Texte intégral

(1)

HAL Id: inria-00156035

https://hal.inria.fr/inria-00156035v3

Submitted on 21 Sep 2007

HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents

Products of Message Sequence Charts

Philippe Darondeau, Blaise Genest, Loïc Hélouët

To cite this version:

Philippe Darondeau, Blaise Genest, Loïc Hélouët. Products of Message Sequence Charts. [Research Report] RR-6258, INRIA. 2007, pp.27. �inria-00156035v3�

(2)

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

Products of Message Sequence Charts

Philippe Darondeau , Blaise Genest , Loïc Hélouët

N˚6258

Septembre 2007

Systèmes communicants

(3)
(4)

&(')+*,)+--.0/214365879:.;1=<

>@?

*A14)+B6.DC0.E7:.EBGFIH

>KJ

5=LNMPOQE*,58<RSF

T;UWVYXNZ\[]GV^\_S[[a`cbedf^GghbEXNV

iKj

_hkY]\XlT;mghbenoldfVpX

j

drq8st_S[

u gSvcv=_ j Xnc] j ]6^xwc] j ^xwc]ybaz|{|}S~S€‚T;]\vcXƒ]\[q j ]a}h„S„;…l€†}E…avegh‡|]GV

ˆŠ‰:‹GŒ\ŽcSŒS‘ ’ b0]\“=]6^”Xƒdf•S](–—gIUXN_˜gSVNVp]G[aqc™f]šveg

j

Xƒd›gh™œ•;df]\–V_SžgnWd›VpX

j

drqc`cXƒ]Gn2VƒUWVYXN]\[Ÿd›VXN_˜^ _|[¡

ve`WXƒ](XNwc]\d

j v j

_WnW`e^ XG¢£¤df•S]GbXY–t_™›ghbc‡|`egh‡|]GV—_hž[]GVNVƒgS‡S](Vƒ]G¥E`c]\b4^ ](^xweg

j

XNV—‡|]\bc]

j

ghXƒ]6nŠq;UŠ[]6VƒVNgh‡|]

Vƒ]G¥E`c]Gbe^ ]l‡ j ghvcw4V\¦;–]lgSnen j ]6VƒVXƒwe]¤v j _|qc™r]G[§_hž^\_S[vc`WXNdrbe‡¨g[]GVNVƒgS‡S]©Vƒ]G¥E`c]Gbe^ ]¤‡ j ghvcw˜XƒweghX—‡|]\bW¡

] j ghXƒ]6V©XNwc]\dj v j _WnW`e^”X6¢TWdrbe^\]gh™f™KªDTesVš‡S]Gbc] j gXN]Gn0q;UDg[]GVNVNgh‡S]¨Vp]6¥E`c]\be^\]‡ j ghvcwP[gIUPq=] j `eb

–drXƒwedrb«e¬;]6nq4_|`cbencV_SbXNwc]©[]GVNVNgh‡S]^xwegSbcbc]G™fVG¦|gVƒ`cqcv j_|qc™r]G[­d›V@XN_anW]6^ d›nW]–wc]\Xƒwc] j Xƒwe]l^ _|beVƒdfn;¡

] j ]6n˜v j _WnW`e^ X—d›V—] ¬Wd›VYXN]\bEXƒd›gh™f™fU˜q4_|`cbenW]6nœ¢@®¯]Vpwc_–°XƒweghXXNwcd›V¥E`c]GVpXƒdf_SbdfV—`cb4nW]G^\dfncgSqc™f]¤qe`WXXƒ` j beV

nc]G^ d›ncgSqc™r]ldrb˜Xƒwc] j]6VYX j d›^”XN]Gn˜^GgSVƒ]–wc] j ]lgS™r™=Vpw4g j ]Gn]\•|]\bEXNVtq=]\™f_Sbc‡(XN_XNwc]¤VNgh[]v j _W^ ]6VƒVG¢±c_ j XƒwedfV

^GgSVƒ]S¦œ–]v j _|v4_EVp]Vƒ`W²˜^ df]\bEX^ _Sb4nWd³XNdr_|beVš`cbenc] j –wcd›^xw¯g[]GVNVƒgS‡S]Vp]6¥E`c]\be^\]‡ j ghvcw j ]Gv j ]6Vp]GbEXƒdfbc‡

XNwc](v j _WnW`e^”X^Gghbq4]^\_SbeVpX j `e^”XN]Gnœ¢

´0µE¶8·N¸a¹

º:‹S‘ Tc^ ]\b4g

j

dr_EV\¦;v

j

_WnW`e^”X6¦cveg

j

XNdfgS™œ_

j

nW]

j

V\¦W^\_S[v4_EVpdrXƒdf_Sb¦cnWdfVpX

j

dfqc`WXƒ]6nVƒUWVYXN]\[V

»›¼œ½ƒ¾A¿GÀ—½Á:Âf¾AÃ+Ä Å

Æ@ǁȔÉËÊ©Ì+ÍIÎIÎhȔÉÐÏ+ÑYÒ(ӠԩՏÉ+Öx×IØYÑKÙWÑYÚÛÑYØpȔÜÝÞ@ßáàãâœÝäâæåç è

éêÐë

Ý

êãì

í â ë

Ý:î

Unité de recherche INRIA Rennes

(5)

‹ ‘ ]6V(v j _WnW`cdrXNVVƒ_SbEX`cbá[_US]Gb ]\“=]6^”XNd³žnW]Š^Ggh™›^ `c™f] j nc]GV•;`c]6V(veg jXN`cdr]G™r™f]GV(nc]Š^ _|[¡

v=_ j Xƒ]G[]\bEXNVnW]VƒUWVYXNZ\[]GVnWd›VYX j dfqc`6V\¢@XNgSb|X@nW_|bcbGVnW]\`c¬š™›ghbe‡|gh‡|]GVænc]tª0]6VƒVNgh‡|]tT;]G¥E`c]Gbe^ ]stweg j XNV

]Gbc‡S]Gben j GV—veg j nW]GV©ªDTes ‡ j ghvcwe]GVG¦Ebe_S`eV\Xƒ`encdr_|beV™›g¥|`e]GVpXƒdf_Sb0nW`0^\gS™f^\`c™n`cbPªDTes°‡ j ghvewc]š]\bW¡

‡|]\ben j gSb|X™f]\` j v j _;nc`cd³X6¢ i `cd›Vƒ¥E`c]aXƒ_S`4V™r]6V©ªDT4sV]\be‡S]\b4n j 6Vveg j `cbPªDTes ‡ j gSvcwc]šv=]\`c•|]\bEX X j ]

]\¬G^ `cXGV—VNghbeV—nGvegSVNVƒ] j `cbc](^ ] j Xxghdfbc]lq=_ j bc]šVp` j ™f]š^ _SbEXN]\b;`nW]6V^\gSbegh`W¬Šnc]¤^\_S[[a`cbedf^GgXƒdf_SbÐ_|b

v4g j ™r]©nc]©q=_ j bc]] ¬Wd›VYXN]\bEXƒdf]\™f™f]@`ebŠVp_|`eVp¡+v j _Sqe™rZG[¨]]6VYX—nW]lnG^ d›nW] j Vƒd4™f]v j _WnW`cdrX^ _|beVƒdfn j ©]GVpXt] ¬Wd›VY¡

XN]\bEXƒdf]\™f™f]\[]\bEX©q=_ j bS¢_|`eV[_SbEX j _Sb4V¥E`c]^ ]\XpXƒ]¥|`e]GVpXƒdf_Sb2]GVpXdrb4nG^\dfncgSqc™f]ancghb4V™r]^\gSV—‡\b j gS™,¦

[gSdfVnc]\•;dr]GbEXlnG^\dfneghqc™f]nWZGVl¥E`c]™_|b j ]GVpX j ]\dfbEX™r]av j _WnW`ed³Xnc]GV©ª Tes ‡ j ghvcwc]6VnW_SbEX™f]GV\•Gbc] ¡

[]Gb|XxVa^\_S[[a`cb4VaVƒ_SbEXa™f_;^Ggh™fdfVGVaVp` j `cbá`cbcd›¥E`c]Šv j _W^ ]6VƒVƒ`eVG¢ i _|` j ^\]Š^\g|V\¦bc_|`eVv j _Sv=_|Vƒ_Sb4V(nW]GV

^\_Sbencd³XNdr_|beVšVp`W²˜VNghbEXƒ]6V©v=_S` j ¥E`c]™f]¨ª Tes‡ j gSvcwc]a]Gbc‡S]Gben j ghbEXl™f]v j _;nc`cd³X(nW]nW]G`W¬P™fgSbc‡|gS‡S]6VlnW]

ª Tes ‡ j

gSvcwc]6Vtve`cdfVNVƒ] \X

j

](^ _Sb4VYX

j

`cdrXG¢

!#¹ Œ6‹ · " ‘ Tc^#\b4g j dr_EV\¦;v j _WnW`cdrXG¦c_ j n j ]GVveg jXNdr]G™fVG¦c^ _|[v4_EVpdrXƒdf_Sbæ¦cVƒUWVYXNZ\[]GV—nWd›VpX j drqc`$GV

(6)

#aa:a:

)+*,

ŒG ¹ º:hŒ.-¹ , /

021

Žc.354e ¹ , º 6

/ ! -'7 µ º98š ¹ º:hŒ ¹;:!=<?>· "ˎ

, 4 :Ž%4 µ ‹ @

6 1 ¹ ,

º‹ :A¹  !=<?> ‹Ž

,

ºA8š ¹ ºSŒG‹B C

D ! ¹ , -Ќ ¹  µ ºFE: ¹ ºSŒ ¹;: !=<G>· ",Ž , 4 :Ž%4 µ ‹ H

I >KJ:µ .35-, 4MLN75-ˋGŒ µ , Œ-,Ž" 1 ¹ , º µ º , µ ‹6‹ )O)

@ > !=<G>· 44IŽ%E J  µ µ ‹ µ , Œ6ŽWŒ-¹ , ¹;: Ž ! ¹ , -Ќ ¹  µ ºP8š ¹ º:hŒ 0Q

C

>¹ ,

":‹-

¹ , 0I

R S   

Tc^ ]\b4g

j

dr_™fgSbc‡S`egS‡S]6V\¦;ghbenŠdrbveg

j

XNdf^\`c™fg

j

ªP]GVNVƒgS‡S]¤TW]G¥E`c]\b4^ ]stweg

j

XNV ˪ TesV twegI•|]l[]\Xg¨^ _|beVƒdfn;¡

] j

gSqc™f](drbEXƒ]

j

]6VYX¤_•S]

j

Xƒwc]™fg|VYXšnW]G^GgSnW]|¢ªDTesV¤gh™f™r_– žÐ_

j

Xƒwc]¨nW]GVN^

j

drvcXƒdf_Sb0_hžncdfVpX

j

drqe`WXƒ]6n0VpUWVpXƒ]\[V

]\¬W]G^ `cXƒdf_SbeVG¦cghbenŠXƒwe]\d

j

•Ed›Vƒ`egh™œgSVƒv=]G^”X[gSnc]lXNwc]\[%v4_|vc`c™›g

j

dfbŠXNwc](]\be‡Sdfbc]\]

j

dfbc‡^ _S[[`cbcdrXYUS¢KT;]\•E¡

] j

gS™tnWdr²˜^ `c™rXv

j

_|qc™f]\[VaVƒ`e^xw g|V

j

gS^ ]6V\¦@^\_SbUTe`e]\be^\]S¦[_;nc]\™^xwc]G^V;dfbc‡0wegI•|]˜q4]G]\b gSncn

j

]GVNVƒ]Gn žÐ_

j

ª TesVghben Xƒwc]Gdj •g j d›ghbEXNVG¢ ±e_ j g j ]6^ ]Gb|XVƒ` j •|]\Uá_Sžlª0]GVNVNgh‡S]0T;]6¥|`e]\be^\]Pstw4g j XNV ˪DT4sV¨ghb4n

ªP]GVNVƒgS‡S]ŠT;]6¥|`e]\be^\]£ j gSvcweV˪DTes¡A‡ j ghveweV  ¦–] j ] žÐ] j Xƒwe] j ]GgSnc] j XN_XWme¦@…ZY+¢0®¯]˜žÐ]G]\™tXƒweghXaXY–_

v j_|qc™r]G[V¤gSq4_|`WXªDTesVgSben¯ªDTes¡A‡ j ghvcweVlbc]G]Gn Xƒ_2q=]˜gSncn j ]GVNVƒ]GnPq=] žÐ_ j ]nW]6Vpdf‡Sb ]\bc‡|drbe]\] j Vš^\gSb

]Gb;•Ed›VNgh‡S]Vp] j df_S`eV¤ghvevc™rd›^\ghXƒdf_SbeVG¢K[lbc]¥E`c]GVpXƒdf_Sb dfV¤wc_–yXN_df[vc™f]\[]\bEXªDTes¡A™fgSbc‡S`4gh‡S]6V‡|dr•|]\bPq;U

ª Tes¡+‡ j gSvcweVG¢ ’ v4g j Xžj _S[ Xƒwe] j ]GVpX j df^ Xƒ]Gn ^\gSVƒ]˜_Sž _W^\gS™—stwc_|df^\] As YªDTes¡A‡ j ghveweV\W{W¦K~.YA¦@XƒwedfV

v j_|qc™r]G[ wegSV j ]G^ ]Gdr•|]GnDbc_VNgXNdfVpžËgS^ Xƒ_ j U2Vp_|™r`cXƒdf_Sbæ¦æVƒdrb4^ ]]\drXƒwc] j nW]Gg|nW™r_W^VWV¤g j dfVƒ]žj _S[ XNwc]dr[vc™f] ¡

[]Gb|XxgXNdr_|bXW^]]h¦ ( Y+¦8_ j df[vc™r]G[]\bEXNghXƒdf_SbP[gIU] ¬Wwcdfqcd³Xš`cbeVƒv=]G^ dr«e]6n0q4]GwegI•;dr_ j VW^]Y+¢ ’ bP]G•S]GbP[_ j ]

q4gSVƒdf^d›VƒVƒ`c]d›VKwc_– Xƒ_([_WnW]\™=g(VpUWVpXƒ]\[­`eVƒdrbc‡(gSbª Tes¡+‡ j gSvcwæ¢:±c_ j drbeVpXNgSbe^ ]|¦Swc_– Xƒ_nc]GVN^ j drq=]—Xƒwc]

^\_S[[_Sbq=]\wegI•;df_ j _SžœVƒ]\•|] j gh™cªDT4s¡+‡ j gSvcw[_WnW`c™f]GV j ]Te]G^ Xƒdfbc‡anWdr“8] j ]\bEXtgSVƒv=]G^”XxV@_hžægncdfVpX j drqe`WXƒ]6n

VƒUWVYXN]\[2¢ ’ « j VpXlgXƒXƒ]\[vWX¤drbPXƒwcd›V©nWdj ]G^”XNdr_|bMWY:nW]\«ebc]6VXƒwe]gh[gS™r‡Egh[gXNdr_|b_Sž@ª Tes ‡ j ghvcw4VgSVg

™fdržãXƒ]Gn•|]

j

Vpdf_Sb_hž:Xƒwc]([]

j

‡S]¤_hž:Xƒwe]\d

j

qegSVƒdf^šªDT4s qc™f_W^VWV Ð_

j

q4ªDTesV ”¢

®¯]v

j

_Sv=_|Vƒ]wc]

j

]g2nWdr“=]

j

]Gb|X6¦æ[_

j

]T4] ¬Wdrqe™r]_Sv=]

j

gXNdr_|bD_Sžtv

j

_WnW`e^”X(_SžªDTes¡A™›ghbc‡|`egh‡|]GVG¦8g|VY¡

Vƒ`c[dfbc‡¯Xƒwc]GU nW_ bc_SXŠVpweg

j

]2ghb;U []6VƒVNgh‡|]˖wcdf^xwd›V˜gh™f™f_–t]6n dfb XNwc]Pgh[gS™r‡Egh[gXNdr_|b _hž(ªDTesV

^\_SbeVƒd›nW]

j

]GndrbMW_Y”¦=qc`WX©Xƒwc]GU^Gghb0Vpw4g

j

](drbEXƒ]

j

b4gh™æ]G•S]\bEXxV\¢`—wc](v

j

_WnW`e^”Xl–t]a^xwe_E_EVp]šd›VXNwc][d³¬W]6n

v j

_WnW`e^ XŠ_hžªDT4sV\¦—XNwegXgS[_S`cbEXNVXƒ_ Vƒw;`Uadrbc‡ Xƒwc]Gd

jj

]6Vpv=]G^ Xƒdf•S]0]\•|]\bEXNVŠ_Sb]Gg|^xw v j

_;^\]GVNV\¦—Vƒd³¡

[`c™rXNghbe]\_S`4Vp™fUgSben0dfbenW]Gv4]GbenW]\bEXN™rU|¦=]\¬c^ ]\vcX©žÐ_

j

Xƒwc]¨Vpw4g

j

]Gn2]\•|]\bEXNVXƒweghX¤g

j

]be_hXldfbEXƒ]

j

™f]GgI•|]Gnqc`WX

^\_|gS™r]6Vƒ^\]Gnœ¢b`—we](_SqWkY]6^”Xƒdf•S](_SžXNwc]–_ j VŠVpXNg j Xƒ]6nwc] j ](dfVXƒ_q=]aghqc™f]šXƒ_^ _S[vc`cXƒ]šXƒwe]agh‡|‡ j ]\‡|ghXƒdf_Sb

_SžªDT4s¡+‡ j gSvcw¯nc]GVN^ j drvWXNdr_|beVš_hž—Vp`eqeVpUWVpXƒ]G[VG¦æXNw;`eVšU;dr]G™fnWdfbc‡PVƒ`cvcv=_ j XšXƒ_2Xƒwe][¨_WnW`e™fg j nW]GVƒdr‡|b _Sž

ncdfVpX j drqe`WXƒ]6nVƒUWVYXN]\[VG¢

(7)

’ b0dr[v=_

j

XNghbEXžÐ]6gXƒ`

j

]_Sžª Tes¡+‡

j

gSvcweV Ë_

j

[_

j

](‡S]Gbc]

j

gh™f™fUŠVƒghžÐ]sªDTes¡A‡

j

ghvcw4V td›V] ¬Wd›VYXN]\bW¡

XNdfgS™q=_S`cb4nW]GnWbe]GVNV\WZYA¦XNwegX¨dfVaXƒwe]

j

]˜] ¬Wd›VYXxVaghbá`evcv4]

j

q=_S`eben _SbáXNwc]Š^\_SbEXƒ]Gb|XxV_SžXƒwc]˜[]6VƒVNgh‡|]

^xw4ghbcbc]G™fVG¦:–d³XNwcdrb –wcdf^xw gS™r™ªDTesVadrbáXNwc]˜™›ghbc‡|`egh‡|]˜^\gSb¯q=]

j

`cbæ¢bá_

j

nc]

j

XN_PwegI•S]˜gSb ªDTes¡

‡ j gSvcw j ]\v j ]GVƒ]\bEXNghXƒdf_Sbæ¦|Xƒwe]lv j _WnW`e^ Xt[a`4VYX—q4]¤] ¬Wd›VYXN]\bEXƒd›gh™f™fU¨q=_S`ebenW]Gnæ¢ `—wcdfVtd›VXNwc]¤[gSdrbv j _Sqc™f]\[

Vƒ_S™f•S]6n drb Xƒwcd›Vav4ghv=] j ¢D®¯]Vƒwc_– XƒweghXKV;bc_–dfbc‡P–wc]\Xƒwc] j XNwc]Šv j _WnW`e^ X_SžXY–t_¯ªDTes¡A‡ j ghvcweVdfV

]\¬WdfVpXƒ]Gb|XNdfgS™r™fUq=_S`cbenc]GndfV—`cb4nW]G^\dfncgSqc™f]S¢_–]\•|] j ¦EdržXNwc](Vpw4g j ]Gn˜]G•S]Gb|XxVq4]G™r_|bc‡aXN__Sbc™fU˜_Sbe]lv j _h¡

^\]GVNV\¦XNwc]\b Xƒwcd›V¥|`e]GVpXƒdf_Sb q=]G^\_S[]GV¨nW]G^\dfneghqc™f]S¢X[lbe^ ]gPv j _WnW`e^ X¨d›VV;bc_–b Xƒ_Dq=]] ¬WdfVpXƒ]GbEXƒd›gh™f™rU

q=_S`ebenW]Gnæ¦ j ]GVƒ`c™rXNV_|b j ]Gv j ]GVƒ]\bEXNghXƒdf•S]™rdfbc]Gg j dGghXƒdf_SbeV_Sž W( Y¤^\ghb q=]0`eVƒ]Gnœ¢ b q j dr]\žY¦—™fgSbc‡S`egS‡S]6V

_SžlªDTesVnc] «ebc]6n q;U XNwc]2‡S™f_SqegS™r™fUá^ _;_Sv=] j gXNdr•|]Vƒ`cq=^\™fg|VƒV¨_SžlVƒghžÐ]DsªDTes¡A‡ j ghvcweVawegI•S] j ]\‡S`e™fg j

Vƒ] XxV©_SžK™rdfbc]6g j©j ]\v j ]6Vp]Gb|XxgXNdr•|]GVG¦c–wc] j ]XNwc] j ]\‡|`c™›g j©j ]\v j ]6Vp]Gb|XxgXNdr_|beV^\gSb0q4]^ _|[vc`WXƒ]6n2žj _S[ Xƒwc]

Tes¡+‡ j gSvcweVghb4n¨^\_Sb;•S] j Vƒ]\™fUS¢:£¤dr•|]\b¨XY–t_š‡|™r_|qegh™f™rU^ _;_Sv=] j gXNdr•|]sª Tes¡+‡ j gSvcweVVƒ`e^xw¨XƒweghX@Xƒwc]Gdj

v j_WnW`e^ X:d›V] ¬WdfVpXƒ]GbEXƒd›gh™f™rU(q=_S`cb4nW]Gnœ¦IXNwcd›Vv j _WnW`4^”X:^Gghbq4] j ]Gv j ]GVƒ]\bEXƒ]6n(–d³XNwgl‡S™f_SqegS™r™fU(^ _;_Sv=] j gXNdr•|]

Tes¡+‡ j gSvcwæ¢

`—wc]gh`WXNwc_

j

V_hž W(

Y:g|VƒVƒ`c[]a±Y±G[#^ _|[[a`cbcd›^\ghXƒdf_Sb2q=] XY–]\]\b0v

j

_W^ ]6VƒVƒ]GVgSbenXƒwe]\Udr‡|bc_

j

]šXƒwc]

^\_SbEXƒ]GbEXNV_SžK[¨]6VƒVNgh‡|]GVdfb2Xƒwe]nW]\«ebcdrXƒdf_SbP_Sž@ª TesV\¢N`—wc]a±Y±G[­gSVNVƒ`c[vWXƒdf_Sb0–_S`c™›nžÐ_

j

^ ]g˜^ _|[¡

ve™rd›^\ghXƒ]Gn0nc] «ebcdrXƒdf_Sb0_SžXNwc]av

j

_WnW`e^ X_hžKªDTesV Ðq=]G^Ggh`eVƒ][d³¬Wdfbc‡XY–_˜nWd³“8]

j

]\bEX T4_–V_hž@[]GVNVƒgS‡S]6V

q=] XY–]\]Gb2XY–t_v j _W^ ]6VƒVƒ]GV—be]\]GneVbc_SX©v j ]GVƒ] j •S]¤Xƒwc]±Y± [­^ _Sb4nWd³XNdr_|b ”¢ `—wc] j ]\žÐ_ j ]S¦c–]df[v4_EVp](wc] j ]

XNwc]a–]Gg VS] jj ]6¥|`edj ]\[]\bEXXNwegXl[¨]6VƒVNgh‡|]GV–drXƒwDdfnW]GbEXƒd›^\gh™:^ _|b|XN]\bEXNVlnW_˜bc_SXl_•|] jXNgV|]š_Sbc]agSbc_hXNwc] j

¡gSV–—gSV@g|VƒVƒ`c[]Gndfb W]YA¢:® ]©g|ncghvcX:XN_šXƒwcd›VKnWdr“8] j ]\bEX@žj gS[]\–_ j VšXƒwc]^\_ jNj]6Vpv=_Sbenc]\be^\]t]6VYXxghqc™fdfVƒwc]6n

dfb W( Y+¢

`—wc]¨bc_SXƒ]¨dfVl_ j ‡|gSbcdG]Gn0g|VžÐ_|™r™f_–V\¢T;]6^”XNdr_|b } j ]G^Ggh™f™fVXƒwc]¨qeg|^VE‡ j _|`cben2_SžtªDTesV¤ghben ªDTes¡

‡ j gSvcweVG¢T;]6^”XNdr_|b ( drbEXj _WnW`e^\]GVšXNwc]˜[d³¬W]6n v j _WnW`4^”Xa_Sžª Tes¡+™›ghbe‡S`egS‡S]GVG¢T;]6^”XNdr_|bám j ]6^\gh™f™›VšXƒwc]

nc] «ebcdrXƒdf_Sb2_Sž:]\¬;d›VpXƒ]\bEXNdfgS™æ^xweghbcbe]\™œq=_S`cbeneV—žÐ_ j ª Tes¡+™›ghbe‡S`egS‡S]GVG¢AXdfVVƒwc_–bdrb0Vƒ]G^ Xƒdf_SbeV~gSben{

XNwegXl_Sbc]a^Gghb2dfbP‡S]Gbc] j gh™œbc_SXl^xwc]6^V˜Xƒwe]a] ¬Wd›VYXN]\bEXƒd›gh™q4_|`cbenW]6nWbc]GVNV_SžXƒwc][¨dr¬W]Gn2v j _WnW`e^ X©_hžXY–_

]\¬WdfVpXƒ]Gb|XNdfgS™r™fUPq=_S`cb4nW]GnáªDT4s¡+™›ghbc‡|`egh‡|]GVG¦œ–wc] j ]Gg|V(g2nW]G^\dfVƒdr_|b dfV(v=_|VNVƒdrqc™f]–wc]Gbc]\•|] j Xƒwe]˜Vpweg j ]6n

]G•S]Gb|XxVq=]\™f_Sbc‡DXƒ_¯gDVƒdrbc‡|™r]Šv j_W^\]GVNV\¢ TW]G^”XNdr_|b …0nc] «ebc]6VžÐ_ j XNwegXVpv=]G^\dfgS™^GgSVƒ]Šghb _Sv=] j gXƒdf_Sbá_Sž

[dr¬W]Gnv j _WnW`4^”X_SbPsªDTes¡A‡ j ghveweV\¢

!

a "(

`_q=]\‡|drb˜–drXƒw¦|–] j ]G^Ggh™f™cwc] j ]XNwc]©`eVƒ`egS™4nW]\«ebcdrXƒdf_Sb˜_Sž $#&%Z('''_ )& ; K!5#_&

!G G!G žÐ_ j Vpwe_ j X ”¦8–wcd›^xwDnW]6Vƒ^ j dfq=]]\¬;]6^ `WXNdr_|beVl_hž^ _|[[a`cbcd›^\ghXƒdfbc‡Šv j _SXƒ_W^ _|™fVG¦=gSben0_Sž—sªDTes¡

‡ j gSvcweVG¦—–wcdf^xw°g j ]0‡|]\bc] j ghXƒ_ j V_Sž¨sªDTesVŠVƒ] XxV\¢ ] X+*˜¦&, ¦ghben.- q=]P«e¬;]6n «ebcdrXƒ]¯Vp]\XNV˜_Sž

%. & ¦ #"& & gSben ''_ ¦ j ]GVƒv=]G^”XNdr•|]\™fUS¢ iKj _W^ ]GVNVƒ]GVK[gIUv=] j žÐ_ j [ ; ]\•|]\bEXNV/©¦ 0'21_

]G•S]Gb|XxV3 ghben ' & ;) ]\•|]\bEXNV54¢ `—wegX@d›V\¦hXƒwc]—Vp]\X@_hžcXYU;v=]GV_hž4]\•S]GbEXNV:_hž4gSb¨ª Tes¯d›V7698./;:<3=:4

–we]

j ]

/>8@?BA;CEDGFIHKJML2AMNEDPOQ*RNIATS8UDNVHWOX,ZY|¦3[8@?BA]\MD<F^HJL2ANBD_O`*RNaATS8bDNBHcO,ZYE¦ghb4n

4d8X?BAFaefJL2AKO+*RNBeROK-YE¢:±e_

j

]GgS^xwAOg*˜¦–]™f] X76ih;8j/khl:G3h:m4lh©–wc]

j

]/khc¦n3hc¦hghbeno4lh©g

j ]

XNwc] j ]GVpX j df^ Xƒdf_SbeVæ_hž/©¦p3P¦hghbenq4¦ j ]GVƒv=]G^”XNdr•|]\™fUS¦GXƒ_XNwc]^\_SbeVƒdfnc] j ]Gn¤v j _;^\]GVNVfA rs Ao\MDqFIHKJ<Ot/ h ”¢

uµsv

,

-Ќ.-¹ , )xw

$#&%Z('''_ ) !$#%_&zy ' Xp%k^gy 8{Fa|}NE~MNVNpF€<h

J‚h)ƒ$„GJz… #

| '&‡b '1_ O'ˆ … '# ‰E%% ~MFaŠnJ $'21_ Œ‹‰\}^i‹02' t# ˆ% ~KŽs|Z6

(8)

†

_ #

AOg*

€<h

'"_ )? _

|<h;8`~

FI6 hiJ

†  Ži|X@|

']%_&'')2‰ ;)' '21_#"E%i%5' )

† '

FIŠ

J8xŠ

#%

~FIŠ

JG8ŒA;CED<FIHKJ

_

~FIŠpJ8`D\ A F^HJ

_ $#

AMNED

_ ; H

† ' Š € h Š

~FIŠ

J8 ~FIŠ

J98 ACBDqF^HJ ; FIŠ

J ' ;) #% FaŠ

J € 9FaŠ

J'

%_&'' f^_ˆ FaŠ

J 'I‡b ;

† #U l''_ € : hnƒ$„ € h _ : ƒ ?sFaŠiNBFIŠ)JVJ(Y 'K_ ‰ 0'' 0^a'' 5

†

@' ?! ' #%%_&'')M#"E%  'g‹' ''_ ‹… ~

F2/<J _ ~

F23+J

ol] «ebed³XNdr_|b ]0] ¬;Xƒ]GbencV¨Xƒwe]P_ j dr‡|drb4gh™nW] «4bcd³XNdr_|b _hž W( Y©[ghdfbc™rU drb XNwegX˜XNwc]P^ _|[[a`cbcd›^\ghXƒdf_SbeV

q=] XY–]\]GbPghbP_ j nc] j ]Gnveghdj _hž@v j _;^\]GVNVp]6Vg j ]bc_SXlbc]6^ ]6VƒVNg j dr™fU±Y± [¦4qc`cXl–]GgV;™fU±Y± [¢O`—weghXld›V\¦

XNwc] j ]Šg j ]˜g|V([ghb;U¯±Y± [Ÿ^xw4ghbcbc]G™fV(žj _|[>AáXN_ D2gSVXƒwc] j ]Šg j ]XYU;v=]GVa_hž]\•|]\bEXNVACBDqF^HJ”¢ `—wc]

^xwe_Sd›^ ]_hž–]Gg V ±Y±G[Ÿ_•|] j ±Y±G[Ÿd›V(žÐ_ j ]Gg|Vp]Š_hž`eVƒ]˜[ghdfbc™rU|¦@Vpdfbe^ ]ŠXƒwc]Š[¨dr¬W]Gnáv j_WnW`e^ X^ _|`c™›n

[]6VƒVlXƒwe]±Y± [ j ]6VYX

j

d›^”XNdr_|bæ¢;_–]\•|]

j

¦4–]nW_q=]\™fdf]\•S]Xƒw4gX

j

]6Vp`e™³XxV¤Vƒdf[¨df™›g

j

Xƒ_Xƒwc_EVp]¨v

j

]GVƒ]\bEXƒ]6n

we]

j

]¤–_S`e™fnghvcve™rU˜–drXƒwXNwc](`eVƒ`egh™æ±Y±G[

j

]GVpX

j

df^ Xƒdf_Sbæ¦Wgh™fq=]\drX–d³XNw[_

j

]¤Xƒ]6^xwcbcd›^\gS™rdrXƒdf]GVG¢

£¤df•S]Gb gªDTes 8 FI|}Nˆ~NBNrF€ h J hnƒ$„ J”¦œ™f] X­q=]¨Xƒwc]

j

]Te]\¬;df•S]¨ghben0X

j

ghbeVƒd³XNdr•|]^\™r_EVp`

j

]a_Sž

XNwc]

j

]\™›gXNdr_|b€ žj

_|[ ol] žY¢]|¢ ’

' ;_ %(''_

_hž d›VtgSb]\b;`c[]

j

gXNdr_|b_hžM| ^\_S[vegXNdrqe™r]–drXƒw

’ ˙rdfbc]6g

j

%; Oa''

_hž d›VXNwc]adf[gh‡|]_hžKg˜™fdfbc]Gg

j

] ¬;Xƒ]GbeVƒdr_|b0_hž `cbenc]

j

XNwc]a[gSv

~ Ž| {6 Ëwc]\be^\]drXšdfV¤gŠ–_ j n2_hžG6  ¢ ] X "!$#F%=J©nW]Gbc_hXN]XNwc]¨Vƒ] Xš_hžK™fdfbc]Gg jlj ]\v j ]GVƒ]\bEXxgXƒdf_Sb4V

_Sž& ¢§±c_ j g Vp]\X(' _hžª TesV\¦l™r]\X)*!$#F+'RJnW]Gbc_hXN]PXƒwe]¯`ebcdr_|b°_hž,"!$#F% J˜žÐ_ j gh™f™ O-'2¢

drbe]Gg j dGgXNdr_|beV—^\gSbq=]nW] «4bc]Gndjƒj ]GVƒv4]6^”XNdr•|]l_Sž:ªDTesV©gSVžÐ_S™f™f_–V.

uµsv

,

-Ќ.-¹ , 0

? "!$#0/P6 ‹ #%? $2 … _Z21 # #%_ $2 AMNED ; H $#% f#}‹

. U& ; D\AF^HJ 'N#"Z&d$ #%N f#}‹ U& ; & A;CED<FIHKJ ' 1_(‰q%a‡3

4

51; _ g‹_# Of#‹ K)

4 8 1

’ bEUš™fdrbe]Gg j ] ¬;XN]\beVƒdr_|b 1 _SžeghbªDTes q4]G™r_|bc‡|VæXƒ_*!$#@¢st_Sb;•|] j Vp]G™rU|¦Gg–_ j n 1 876

8988

6:+O)"!$#

d›Vg¨™rdfbc]6g j ] ¬;XN]\beVƒdr_|b_Sž y<;= F1 J 8F ??>iN

8988

N@#7YsNE~MNVNpF€<h JVJ–drXƒw.

A

~F%!J 8B6C@gSben)!€<h)Ddrž2! €0DFEG6CN6@H Ot6ihW¦

A

F%!J87Dd³ž@XNwc]a™f] XƒXƒ]

j

6C8jA;CBD<F^HJ_W^G^ `

j

V# XNdr[]GVldfbI6

3888

6Cghb4n2Xƒwc]™r]\XpXN]

j

6@H8 D\ AFIHKJ

_W^G^ `

j

VJ#DXNdr[]GVdrb(6

38898 6@HlžÐ_

j

Vp_|[¨]qANBDNVH=N@#@¢

uµsv

,

-Ќ.-¹

,A/LK

… … __1 N1 OM*!$# f'21Z$^ __''_ N1POQ1 ='Ry<;= F1 J ;

y<;= F1 J '$# %%#f'' rSR?__ l‰R^ B/T"!$# … … (' VUWM8? 1 L 1OX1 N 1 O(&Y

w

^_ Y/T"!$#F+'RJ 'Kaj ]Gv j ]6Vp]GbEXNgXNdr•|](Vp]\X _ ' ' [Z\"!$#F% JzS8] _ )2 @OI'

f'21Z$^ ‰n 'SUW 87"!$#F+'gJ

®¯]nW]6nW`e^\]Xƒwc]˜žÐ_S™f™r_–dfbc‡0v j _Sv=] jXƒdf]GVG¢±e_ j ghb;U ªDT4sM ¦3*!^#F_ Jšd›VagSb¯]6¥E`cdr•gS™r]Gbe^ ]Š^\™fg|VƒV

dfbN*!^#¢¯±c_ j ghb;U ªDTes` ghb4n¯žÐ_ j gSb;U 1 O7"!$#@¦ 1 O7"!$#F_ J(drž©ghben _Sbc™fU drž d›Vad›Vp_|[_ j ¡

vewcdf^XN_ y<;9= F1 J ¢ ’ Vpdf[dr™›g j v j _|v4] j XYU nW_;]6Vbc_hXwc_|™fn žÐ_ j g j qcd³X j g jU sªDT4sV\¢°±e_ j dfbeVYXxghbe^\]S¦

FA;CBD<F^HJVJFID\AF^HJVJ FaD\ A F^HJVJ(q=]\™f_Sbe‡|V(XN_I*!^#F_ JšžÐ_ j XY–_DnWdr“8] j ]\bEXsªDT4sV& ¦–wc] j ]ŠXƒwc]

Vƒ]\b4nŠ]G•S]\bEXd›V[gXN^xwe]GnqEUg ]Gd³XNwc] j –drXƒw2XNwc]¤« j VpX_ j –drXƒw2XNwc](Vp]6^ _Sb4n j ]G^\]\df•S]š]\•|]\bEXG¢

®¯]¤nc] «ebc]lXƒwe]l^ _|be^\ghXƒ]GbegXNdr_|ba

2b

a©_SžœXY–t_sªDTesV*aCM8Fa|

C

Nˆ~

C

NV

C

NrFV€

C

h

J‚h)ƒ$„GJg|V@XNwc]¤Vƒ] X

_Sž@sªDT4sVc 8 FI|

d

| Nˆ~

d

~

NBNrF€<hiJ‚hnƒ$„<J—Vp`e^xwXƒw4gX9.

(9)

±:dr‡|` j ] ]?.YnW]\bEXƒdr«4^GgXƒdf_Sb0TW^\]\beg jdf_

¢

"!#$$%

&'(

)

±df‡S` j ]} .TW]Gg j ^xwcdfbc‡TW^ ]Gbeg j dr_*S|¢

A

aZ=FI|

C,+

| CJ 8  C

ghben €<h ZtFI|

C,+

| CJ 8P€

C

h

žÐ_

j

!GO ? > N-Y(ghben AOg*˜¦

A

ŠOt|

gSbentŠ Šœ]Gb|Xxghdf™Š Ot|

žÐ_

j

gh™f™MŠsNBŠkOK|

d | ¢

®¯]™r]\X '

b

'Jq=]Xƒwc]`cbcdf_Sb¯_hž*

b

aažÐ_ j gh™f™aCO'*Cƒ¦! O ??>iN-YE¢š® ]^\gSbDbc_–#‡Sdf•S]g

nc]GVN^ j drvWXNdr_|b_Sž:Vƒ] XxV_hžªDTesV–drXƒw j gXƒdf_Sb4gh™8_Sv=] j gXNdr_|beV\¢

uµsv

,

-Ќ.-¹ , 6 w

!G ?!/.' E%# ' p%5 8 F$0 NˆxN#1oN032 N054iJt… # F$0 Nˆ_J ' ˆ%%#s

032 N064/70 #%&‹&';' ''')G‡ )1_&'' &ˆb&% '21Z‰n ; 1 #"E%O #91Z&

4 K\!G G! 1oF

4 J 98 NI‡b ; oF$;J _ # N$2 ªDTesV ' 1oF

4 2 J b 1oF

4 J b 8898 b 1]F

4 : #%

4 2 N 4

,8988

N 4 : ' %%#' $# )#"' ''')1_&

4 2

O:0 2 $# )1_&

4

:+O:0 4

K

# !G ?!/.' E%# ' VNgžÐ] 'K_ ‰ & # 1]F

4 2 J

b8898b 1oF

4

:J )' %_<^Z& _ ?!

bEXƒ`ed³XNdr•|]\™fUS¦6Xƒwc]Vp]G[ghbEXƒd›^\V_hž=sªDTes¡A‡

j

ghveweV8dfV:nW]\«ebc]Gn`eVpdfbc‡XNwc]t^\_S[v=_|Vƒd³XNdr_|b(_hž;Xƒwc]sªDTesV

™›ghq=]\™fdfbc‡2Xƒwc]•|]

j

Xƒd›^ ]6Vš[¨]\Xgh™f_Sbe‡XNwc]veghXƒweV(dfb Xƒwe]GVƒ]‡

j

ghvcweVG¢ _SXƒd›^ ]XNwegX61]F

4 2 J

b58885b 1]F

4 : J

[gIU^ _SbEXxghdfb2gSbPg

j

qcdrX

j g j

UbE`e[aq=]

j

_SžtsªDTesVG¦eqc`WX¤gX©[_|VpX©_|bc](_hžXƒwe]GVƒ]¨sªDTesVd›V©gSbPªDTesl¢

’ b ] ¬cgS[¨ve™r]˜_Sž©g0bc_|bW¡AVNgžÐ]sª Tes¡+‡

j

gSvcwád›V6U8ZF$0 NˆxN#1oN0?

4 2 YiN?

4 4 YnJ(–we]

j

];0 8b?

4 2 N 4 4 Y|¦

4 2  4 4

¦eXNwc]sªDT4s<1]F

4 2

Jw4gSVg˜Vƒdfbc‡S™f]]\•|]\bEX©™›ghq=]\™f™r]6n0–drXƒw D\AF^HJ”¦8ghbenXNwc]sª Tes=1oF

4 4 J

w4gSVagDVpdfbc‡S™f]˜]G•S]\bEXa™›ghq=]\™f]Gn –drXƒw A;CBDqF^HJ”¢ benW]\]6n¯Xƒwc]ŠXY–t_D]\•S]GbEXNVa^Gghbcbe_hXaq=]˜[gXx^xwc]Gnáq;U=

dfb1]F

4 2 J b 1]F

4 4

J”¢l±df‡S` j ]6V]agSbenP}˜Vƒwc_– XY–t_ As YªDT4s¡+‡ j gSvcweVG¢ `—wc]\dj bc_WnW]6V©g j ]™›ghq=]\™f]Gn2–drXƒw

ª TesV\¢#st_|be^\ghXƒ]\b4gXƒdfbc‡?>A@ gSben Xƒwc] ™r_W^Ggh™]G•S]\bEX (‰_ ; ‡Sdf•S]6Vghb°ªDT4s–drXƒw ( ]\•S]GbEXNVG¢ `—wc]

j ]G^\]\vWXNdr_|b˜_hžB>A@ghben˜Xƒwc]š]\•|]\bEX (‰_ g j ]©`cbc_ j nc] j ]Gn ËdrbC

 ¢ [lb˜XNwc](^ _SbEX j g j U|¦hXƒwe]¤]G•S]Gb|X (‰_ ;

gSbenŠXƒwc] j ]G^\]\vWXNdr_|b_Sž D $'' g j ]l_ j nc] j ]GnÐdfbCS”¢

’ VNgžÐ]©sªDTes¡A‡ j ghvew [gIUgh™f–gIUWV:q4]]\¬Wveghbenc]GndrbEXƒ_(g(VNgžÐ] _ )#m'' sªDT4s¡+‡ j gSvcw5S+¦hXNwegX

d›Všg‡ j ghvcwPdfb¯–wcdf^xw ]Gg|^xwDbc_WnW]d›Vl™›ghq=]\™f]Gn –drXƒw gVƒdrbe‡S™f]¨]G•S]Gb|X6¦æVp`4^xwPXƒw4gXSoF$;J]8GoF$S2J”¢m b

XNwc]žÐ_|™r™f_–drbe‡e¦h]G•S] j UaVNgžÐ]lsªDT4s¡+‡ j gSvcwd›Vg|VƒVƒ`c[]GnXN_(q4]©ghXƒ_|[¨d›^h¢ `—wc]]\¬WveghbeVƒdf_Sb¨UEdf]\™›ncV@q;UXƒwc]

–—gIU˜g j ]G‡S`c™›g j—j ]\v j ]GVƒ]\bEXxgXƒdf•S]šVƒ] X—žÐ_ j ]F;J”¢

(10)

˜ Ÿ  

b_ j nW] j XN_[g|VYXN] j Xƒwe]š^\_S[vc™f] ¬WdrXYU˜_hžnWdfVpXj dfqc`WXƒ]6nVƒUWVYXN]\[Ÿnc]GVN^ j drvWXNdr_|beVG¦Wd³Xd›VnW]GVƒdj ghqe™r]lXƒ_wegI•|]

ghX_Sbe]VnWd›Vpv=_|VNgh™=g^ _|[v4_EVpdrXƒdf_Sb_|v4] j ghXƒdf_Sb¨XƒweghXgS™r™f_–VXƒ_a–t]6gI•S]nWdr“=] j ]GbEXgSVƒv=]G^”XxVK_SžœgaVpUWVpXƒ]\[2¢

® we]\bŠVƒUWVYXN]\[­g|Vpv=]G^ XNVtg j ]lsªDTes¡A‡ j ghvcweVK–d³XNwŠnWd›VÐkY_|drbEXtVƒ] XxVK_hžœv j _W^ ]6VƒVƒ]GVG¦Xƒwe]l^ _|be^\ghXƒ]GbegXNdr_|b¨_Sž

XNwc]\dj ª Tes¡+™›ghbe‡S`egS‡S]GV^Gghb0q=]a`eVƒ]Gn0Xƒ_XNwcdfVl] “8]G^ XG¢ ™fVƒ]S¦8Vp_|[]veg j gh™f™f]\™^\_S[v4_EVpdrXƒdf_Sb2d›V©be]\]Gnc]Gn.

–]v j _|v4_EVp]wc] j ]Xƒ_áVpU;be^xw j _|bcdG]Vƒweg j ]Gn ]\•S]GbEXNVghben VƒwE`%a]bc_|bW¡AVƒweg j ]6ná]\•|]\bEXNV¨v=] j v j _;^\]GVNV\¢

’ ™r™Vƒweg j ]Gn0]G•S]Gb|XxV©g j ]dfbEXƒ] j begS™]G•S]Gb|XxV Ë[¨]6VƒVNgh‡|]GVlg j ]bc]\•|] j Vpweg j ]6n$”¢ `—wc]adfbEXƒ] j Vƒ]G^ Xƒdf_SbP–drXƒwDg

j ]\‡|`c™›g j ™fgSbc‡S`4gh‡S]š^ _|`c™›nq=](`eVƒ]Gndfbve™fg|^ ]š_hž:Xƒwc]Vƒweg j ]6nŠ]G•S]\bEXxVXƒ_˜^ _|bEXj _S™=Xƒwc]Vƒw;`Ua]S¦cqe`WXXƒwedfV

–_S`e™fnbc_hX^xwegSbc‡S](Vƒdr‡|bcdr«4^\gSb|XN™rUXNwc] j ]GVƒ`c™³XxV—_hž:Xƒwcd›VvegSv4] j ¦W]\¬c^ ]\vcXžÐ_ j wc]GgI•;df] j v j _;_hžËVG¢

±:d

j

VpXG¦–t]

j

]G^\gS™r™:XNwc]˜nW] «4bcd³XNdr_|b _SžXNwc]

# ' %

_SžXY–_™›ghbe‡S`egS‡S]GV

N

_Sž

–_

j

ncV ,Vp]G] W}ZY ¦=nW]\«ebc]6n_|b2XY–t_˜gS™rveweghq=] XxV

N

bc_hXlbc]G^\]GVNVƒg

j

df™rUnWdfVËkY_SdfbEXG¢ ]\X.8

:

¢

±e_

j

!8M> N-™f] X C Žc&c

C

q4]—XNwc]`cbcd›¥E`c]—[_Sbc_|dfn[_

j

vcwcd›Vp[#Vƒ`e^xwXƒweghX C FJ 8žÐ_

j

=O C

gSben CFJ 8_hXƒwe]

j

–dfVƒ]S¢d`—wc]Gb

8?

1

L C F1 JO

C N@!8 ? > N-Y YldfVtXƒwe]šVƒ] X_Sžgh™f™8–t_

j

ncV

1

Oc¤–drXƒw

j

]GVƒv4]6^”Xƒdf•S]¤v

j

_hkY]6^”Xƒdf_Sb4V C F1 J—dfb

C ¢ ¢‡4¢r¦k?ne! pY ? =

e#"Y8 ? = e! "lN

=

e"# pYE¢

uµsv

,

-Ќ.-¹ , D

R?_ !8X??>iN-fY k^ ' C ‹ G! . _ $1Z 6 C 5& # #%_$ O+6

Z<6 '2#&%k''

$ 8jAFIefJ _K)#" AMNBe

K

#% [¨dr¬W]Gn2v j _WnW`e^ X '

%

' ' y<;9= F_"!$#F+'

J *!^#F^' JVJ ;t'q'

" ?!/. ^_ $1Z 6

:R6

`—wc]¤[d³¬W]6nv j _;nc`e^”X—_Sv=] j gXNdr_|b[gIUVƒ] j •S]XN_^\_S[v4_EVp]©Xƒwc]¤™›ghbc‡|`egh‡|]GV@_SžæXY–t_sªDTes¡A‡ j ghvcw4V

XNwegX(Vƒweg

j

]_Sbe™rU2dfb|XN]

j

begh™:]\•|]\bEXNVG¦œgSVldfV©Xƒwe]¨^GgSVƒ]žÐ_

j

Xƒwe]sªDT4s¡+‡

j

gSvcweV N#

_hž±:df‡S`

j

]GVK]S¦Û}W¢

`—we]šVƒU;be^xw

j

_SbcdGghXƒdf_Sb_|bŠXNwc](Vpweg

j

]6n˜]G•S]\bEXxV

(‰_

]\beVƒ`

j

]GVXƒweghX—dfb2ghb;U˜ªDTes drb)oF$

J ]F

J”¦

XNwc]lVƒ]

j

•S]

j

bc]G•S]

j

ghb4Vp–]

j

VgVp]6g

j

^xw

j

]G¥E`c]6VYXtž

j

_|[ Xƒwc]š^ ™fdr]GbEXt`cbc™f]GVNVXƒwc]š^ ™fdr]GbEXtd›Vt™f_S‡|‡S]6ndrbæ¢ ©_hXƒ]

XNwegX]G•S]Gb XNwc_S`e‡Sw

ghben0 g j

]ªDTesVG¦?

Y ? Y˜[gIU ^ _|bEXNghdfb¯[¨_

j

]XNweghb _|bc]˜ªDTesl¢

’ ™fVƒ_(bc_SXƒ]—Xƒw4gX

1 1 /*!$#ŠžÐ_

j1

O\*!$#2gSben

1 O\*!$#@¢:ª0dr¬Wdrbe‡gh™f™c™rdfbc]6g

j

d6gXƒdf_Sb4Vveghd

j

–d›Vƒ]

U;df]\™›ncVgh™f™œ™fdrbc]6g j d6gXNdr_|beV_hž@gv j _WnW`e^ X9.

8š ¹ E ¹ ‹-ˌ- ¹ , )

*!$#F+'

&

' J8B"!$#F+'

J "!$#F+' JG8 U"!$#F+'

J "!$#F+' J W

8š ¹æ¹;: ®¯] V;bc_– XNwegX@žÐ_ j ghb;UaªDT4s ¦?"!$#F+'RJ@dfVKgSb]6¥E`cdr•gS™r]Gbe^ ]^\™fg|VƒVG¦hwc]Gbe^ ]5"!$#F^'

'JnJ8

U"!$#F^'

J "!$#F+'JnJ$Wd›V—df[¨[]6nWdfghXƒ]|¢

*!^#F^'

J "!$#F+'

J5/Y*!$#F+'

' '

Jgh™›Vp_¨žÐ_|™r™f_–Vž

j

_|[XNwc]v

j

_Sv=]

j

Xƒdf]GV—_Sž*!^#F^'RJ”¦4q4]6^\gS`eVp]

'

( ' 8

y<;=

F%*!^#F^'

J *!$#7F^'

JBJ”¢ _–™f] X

1 O *!^#F_ J¨ghben O

y<;=

F_"!$#F%

J

*!$#7F_ JBJKžÐ_

j

Vp_|[¨] C O ' C _!78 >iN-”¢ ’ ‡Eghdfbæ¦;`eVpdfbc‡Xƒwc]šv

j

_Sv=]

j

Xƒdf]GVt_hž"!$#F+'RJ ¦c–]NV;bc_– XNwegX

b8

y<;9=

F1 J”¢ `—we]

j

] žÐ_

j

]S¦

1 O "!$#F%

J "!$#F% JqEUŠ™r]G[¨[g ] ËVƒ]\](q=]\™f_–”¢

)tµ Ž )

"!$#F%

J "!$#F% J ' 0^_\U ; #% f'21_) O oK0+* $

8š ¹æ¹;: ] X 1 O *!^#F_

J "!$#F_pJ”¢¨® ]–—ghbEX¤Xƒ_0Vƒwc_–yXƒw4gXšžÐ_ j ghb;U 1 @drb0"!$# ,o©]\žY¢} ¦ædrž

y<;= F1 J(ghb4n y<;= F1 2J(g j ]dfVƒ_S[_ j vcwcd›^h¦Xƒwc]Gb 1 oO *!^#F_

J "!$#F_pJӢ ]\X 1 8 6 8988

6:8¢

± j _|[ ol] žY¢@}W¦ 1 q8-6

8988

6: ghb4n¯Xƒwc] j ]˜]\¬WdfVpXNVg2qcdkY]6^”XNdr_|b-,xŽ ??>iN

8898

N@#7YK ? > N

888

N #7YŠVp`4^xw

XNwegX 6 C 8 6

4/.

C10

¢ ±c_ j D 8 >iN- ™f] XK|

H

8[?9! L >7 ![ #32 6 C O 6 H

Y¯gSbenx| H 8 ?9! L >T

!I #42N6

C

OT6

H

YE¦—Xƒwc]Gb5, j ]6VYX j d›^”XxV˜ghb4n ^ _h¡j ]GVpX j df^ XNVXN_ qcdkY]G^”XNdr_|beV6, H Ž|

H  | H

¦wc]Gbe^ ]

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