Memory Management Schemes for Radiosity Computation in Complex Environments

HAL Id: inria-00073540

https://hal.inria.fr/inria-00073540

Submitted on 24 May 2006

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

Memory Management Schemes for Radiosity Computation in Complex Environments

Daniel Meneveaux, Kadi Bouatouch, Eric Maisel

To cite this version:

Daniel Meneveaux, Kadi Bouatouch, Eric Maisel. Memory Management Schemes for Radiosity Com- putation in Complex Environments. [Research Report] RR-3149, INRIA. 1997. �inria-00073540�

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

Memory Management Schemes for Radiosity Computation in Complex

Environments

Daniel Meneveaux, Kadi Bouatouch and Eric Maisel

N ˚ 3149

Avril 1997

TH `EME 3

!"$#%&#'(*)+-,/.0&12#%*#34)+,/537698:<;0#32/&

=/>(?A@CBEDFGBH? BEIJBH>(KALNMPO$>(QA@RSJK2>UTVSJK WYXZ>(? Q\[]^@_W`FZ>a@_bcBdD

e7fhg

i3j<ilknmoqpdrsi3tvuEw%ryx{zEp

f

zEj<j<i%|}j~uEw

f

x{piE€

x{j~u‚Eicƒ3€„zEpp7…i3i^ƒ^€†w%zdppUu‚x‡ƒsƒyuEpUw%icƒ

ˆ

tsz‚‰Ši3rZ‹ŒoŠŽN‹

‘

uE’’(zEtyr“„ityicw

f

i3tvw

f

i”p•dk–3—H˜`m ™Œtyx{š2–^˜d˜H›œm–c’Uu‚di^ƒ

žŸ& ^¡3¢Y£¤E¡E¥ ¦

x{i3tvu‚tvw

f

x‡w3u‚štsud„†x§zHƒ¨x§rŠ©x‡ƒu$™Ei^ty©ª„†i3j~uEpU„†x{p’tsz†w%icƒyƒx§p«rsi3tsj~ƒz‚¬w3zEj<’­†rvuYrsx§zdp

rsx§j<iuEpU„ªj<i3j<zEts©tsi^ƒsƒ¨zd­tvw%i^ƒ1i^™Ei3p®¬¯zdtƒsw%i3pUi^ƒzE¬Pj<z†„†i3tvuYrsi°w%zdj’Uš§i3±Œx§rŠ©E² e z f

u‚pU„š§i°w3zEj<’š{i%±

i^pŒ™Hx{tszEpj<i3pHrvƒ3€³pUz‚r<´r¨rsx§pU«x§pµj<i3j<zEts©E€Npi3¶·ƒ¨zdš§­ryx{zEpUƒ

f

uV™dirszª¸(i$„†i^™Hx‡ƒyi^„¹²»ºpi/ƒ¨zdš§­ryx{zEp¼x{ƒ

rsz`’au‚tyryx§ryx{zEp½r

f

i/ƒyw3i3pi¾x{pdrsz«ƒ¨­¸aƒ¨i3rsƒz‚¬1’azdš§©ŒEzdpUƒ¾¿ÀkEÁÂw%i^š§š‡ƒ<zEt<w%š{­Uƒ¨ryi3tvƒvÃuEpU„«rsz`j~uEx§pHrsuEx§p¼x{p

j<i^jzdty©0zEpš{©ƒ¨zdjiz‚¬ r

f

i^j² e7f

itvuE„†x{zdƒyxÄrŠ©¾w%zdj’U­†rsu‚ryx{zEp/x‡ƒ’(i3ty¬¯zEtsjic„zEpš{©°¬¯zdtr

f

x{ƒtsi^ƒyx{„†i^pHr

ƒy­¸Uƒyi%r<¶

f

x‡w f w f

u‚pdi^ƒ„†­tsx§p`r

f

i/tyicƒ¨zdš§­†rsx§zdp½’tsz†w%i^ƒsƒ^² e7f

x‡ƒ~w

f

u‚pdii^pdrvu‚x{š{ƒj~u‚pŒ©«tsi^ud„Åu‚pa„

¶“tsx§ryizd’ai^tsu‚ryx{zEpUƒ¬¯tyzdj!zEtzEpHryzr

f

i<„†x‡ƒ¨ÆJ² e7f

i^ƒyi„x{ƒyƾrytvu‚pUƒ¨¬¯i3tvƒj­Uƒ¨r¸(izdts„†i^tyic„¾ryz¾j~u‚ÆEir f i

tvuE„x§zHƒ¨x§rŠ©~u‚š{EzEtsx§r

f

j~ƒNrytvuEw%rsu‚¸Uš§id²AǪi’tszE’(zdƒyix{p0r

f

x‡ƒ7’Uu‚’(i3t“„†x§È(i^tyi^pHr7zdts„i3tsx§p<ƒ¨rytvuYryi^Ex{i^ƒN¶

f

x‡w

f

w^u‚p¾¸aiƒyi3i^p¾udƒ“w%zdj’Uš§i^ji^pHrsu‚ts©~rszr

f

zdƒyi„†i3™Œx‡ƒ¨ic„¾¸H©

e

i^š§š{i3tɧ–%Ê}²

Ë/ÌHÍJÎsÏÐ ¢YÑ& E¥ Ò

zdj’U­†ryi^t¾dtsuE’

f

x‡w3ƒ^€

Ò

zEj<’š{i%±\ƒsw%i^pi^ƒ^€

‘

uE„†x{zdƒyxÄrŠ©µj<i%r

f

z†„¹€tvw

f

x§ryi^w%ry­tvu‚š

i^pŒ™Hx{tszEpj<i3pHrvƒ

ӇÔÕ

Öy×CØcÙ

Õ

ÖÚ&Û{×}ÜCÝ%Þ

!"$#%&#' "/ "/·8:<;0#%2/&) ,/53760

Ì   Ì ¥

u tsud„†x§zHƒ¨x§r…i f

x{i3tvu‚tvw

f

xH­i7i^ƒ¨r³­p<’tyz†w3i^ƒsƒ¨­Uƒ&rst

g

i^ƒ2w%z­†ryi^­†±i^pryi3tsj<i„†i“rsi3j<’Uƒ³„†iw3u‚š‡w%­Uš†i%rN„†i

tsi^ƒsƒyzE­tvw%icƒ¹jŅi3j<zEx{tsiE€Vji3j<i’(zE­Ut&„†icƒ ƒyw

g

i3picƒ „†i7w%zdj<’š§i3±†xÄr…ij<zY©Ei^ppid²

ˆ

zE­Uthrytvu‚x§ryi^t&„i^ƒAi3pŒ™Œx§tszEp†|

pUi3j<i3pHrsƒ2w3zEj<’š{i%±†i^ƒ pUi7ryi3pau‚pHr³’UuEƒ i^pj i^j<zEx{tyid€‚„†i“pzE­U™Ei3š{š{i^ƒ2ƒyzEš{­†ryx{zEpUƒ ƒyzEpHr…

g

u i3pŒ™Œx{ƒsu‚di3tc²

­pi

„

i^pdrstyii3š{š§i w%zdpUƒyx{ƒ¨ryi

g

uƒ¨ryts­Uw'rs­tsi3tPš{uƒyw

g

i3pii3p¾ƒ¨zd­UƒŠ|}i3paƒ¨i^j¸š{i^ƒN„†i’(zEš{©ŒEzdpi^ƒi%r7pi1w3zEpUƒyi3ts™Ei^ti^p

j …i^j<zEx{tyid­

­pUi’au‚tyryx{i<„

i^pdrstyi<i^­†±¹²

i^ƒ w3uEš{w3­š{ƒ„itvuE„x§zHƒ¨x§r…iƒ¨zdpHr1i3È(icw'ry­7…i^ƒ ƒyi3­š{i3j<i3pHr’(zE­t

w3i^ƒ³ƒyzE­aƒŠ|}i3pUƒyi3j¸š{i^ƒ2t…i^ƒyx‡„u‚pHr2i3p~j i^jzdx§tsi7i%r’(zE­U™VuEpHrNw…

f

u‚pUEi3tNu‚­°w%zd­tvƒ2„†­~ryi^j<’Uƒ3²

Ò

icƒ³w

f

u‚pUEi%|

j<i^pdrvƒ’UtyzY™dzH­i^pHr„†ipUzEj¸Utyi^­Uƒ¨icƒ2zE’7…i3tvuYrsx§zdpUƒ³„†iš§icw'ry­Utyii%r“„

…i^w%tsx§ry­tsiƒ¨­UtP„†x‡ƒd­UiE²

Ò

i3’(i3pU„Uu‚pHr^€

x{šicƒŠr’azHƒyƒyx§¸Uš§i°„†it…ic„†­x{tyi<š{i^ƒryi3j<’Uƒ„†iw^u‚š‡w%­š‡ƒi3p«zdts„zEppUuEpHr i°w3uEw3i3j<i3pHrw3i^ƒ rstsuEpUƒ¨¬¯i3tyrsƒ„†i

„zEpp7…i3i^ƒ^²zd­Uƒ“’tszE’(zdƒyzEpaƒP„Uu‚pUƒw3itsuE’’(zEtyr“„xÄȅi3tsi3pHrsi^ƒ“ƒ¨rytvuYr…i3Ex{i^ƒ7„

zEtv„†zdppUu‚paw%i3j<i^pdr“’(zE­™YuEpdr

i%rytsi w%zEpaƒ¨x‡„P…i^t…i^i^ƒNw%zEj<j<iw%zdj<’š%…i3j<i3pHrsuEx§tsi^ƒ

g

u<w%i^š§š{i^ƒ“„P…i^w%tsx§ryi^ƒP’UuEt

e

i^š§š{i3t„Uu‚pUƒÉ§–%Ê}²

œÐ ¡c  Î ¤Ì ¥

‹Œ©ŒpHr fhg

i^ƒyi„

x{j<uEEicƒ3€‹†w

g

i3picƒNw3zEj<’š{i%±†i^ƒ^€

‘

uE„x§zHƒ¨x§r…id€HpŒ™Hx{tszEppi^j<i3pHrsƒPu‚tvw

f

x§ryi^w%ry­†|

tvu‚­±

k

9 :

&2"$.P #%

¦

x§i^tsuEtsw

f

x{w^u‚šJtsud„†x{zdƒyxÄrŠ©~’tszY™Œx{„i^ƒ

f

x{

f

š§i^™Ei^šhtyicu‚š{x{ƒ¨ryx‡w1x§j~uEEi^ƒ7u‚r“r

f

ii3±Œ’(i3paƒ¨izE¬&x{j<’azdt¨rvu‚pHrw%zdj|

’U­†rsu‚ryx{zEp0uEpU„0ji^j<zEts©~tyicƒ¨zd­tsw3i^ƒ^€Ei^™Ei3p0¬¯zEt“ƒsw%i^pi^ƒPz‚¬Ajz†„†i^tsu‚ryi w%zdj’Uš§i3±Œx§rŠ©E² e7f

x‡ƒ7x‡ƒP„­i1ryzr f i

pUi3i^„½z‚¬j<i^ƒ

f

x{pƒy­t¨¬Àudw%icƒx{pdrszi^š§i^ji^pHrsƒuEpU„«š{x§pUÆHx{pr

f

icƒ¨i0š{u‚r¨ryi^tzdpi°rsz`u‚pUz‚r

f

i3tc²/oqpÅz‚r

f

i3t

¶PzEtv„ƒ^€³r

f

i/pŒ­j¸(i3t°zE¬ ƒy­ty¬ÀuEw3i¾i^š§i^j<i3pHrsƒ°uEpU„ š§x{pƆƒ~x{pUw%tsi^udƒ¨icƒ~„†tsudƒŠrsx{w^u‚š{š§©«¶“x§r f r f

i/’tsi^w3x{ƒyx§zdp

tsiH­x{tsi^„¹² e7f

x‡ƒ<x{ƒ~¶

f

©½’(i3ty¬¯zEtsj<x§pU`š{x§

f

ryx{p«ƒ¨x{j­š‡uYrsx§zdp ¸(i^w3zEj<i^ƒrstyx‡wvƌ©«¬¯zEt°w3zEj<’š{i%± ƒsw%i^pi^ƒ

ƒy­Uw

f

uEƒ³¸­x{š{„†x{pHƒw%zdpHrsu‚x{px{pj<x§š{š{x§zdpUƒ³zE¬Jdi3zdji3rytsx{wP’tsx{jx§ryx{™Eicƒ3²&oqpU„†i^i^„¹€H™Œx{ƒyx{¸x§š{x§rŠ©tsi3š‡uYrsx§zdpUƒ

f

x§’Uƒ

¸(i%rŠ¶Pi3i^p$ƒ¨­Ut¨¬Àudw%ii3š{i3j<i^pdrvƒ

f

uV™di ryz°¸(i’(i3ty¬¯zEtsjic„¹€U¶

f

x{w

f

i^pdrvu‚x{š{ƒu~™Ei^ty©°x{j<’azdt¨rvu‚pHrw3zEj<’­†rsx§p

rsx§j<id²

¦

zY¶Pi3™di3tc€Jj<uEpŒ©¾™Œx‡ƒ¨x{¸x{š§x§rŠ©w3zEj<’­†rvuYryx{zEpaƒ1uEtyi­Uƒyi3š{i^ƒsƒ1ƒy­Uw

f

uEƒr

f

zHƒ¨i¸(i%rŠ¶Pi3i3p®u0’azdš§©ŒEzdp

uEpU„ƒyzEj<izE¸†‰Šicw'rsƒ1z†w3w3š§­a„†i^„¸H©$u0š‡u‚tsEi’(zEš{©ŒEzEpš§x{ÆEi<u¶7u‚š{šC² e7f

x{ƒ1’tszE¸Uš§i^j

f

uEƒ u‚š{tyicuE„†©¸(i3i^p

ud„„†tsi^ƒsƒ¨ic„ªx§pZÉ;Œ€ k€&—€=<VÊ7¶

f

i3tsi~r

f

i¾uE­†r

f

zEtvƒ’tszE’(zdƒyi<ryz`’Uu‚tyryx§ryx{zEp«r

f

i0ƒsw%i^pix{pHryzƒy­¸Uƒyi%rvƒzE¬

’(zEš{©ŒEzdpUƒ¿_w3uEš§š{i^„

2'2>

ÃN¸ai3¬¯zEtsi’(i3ty¬¯zEtsj<x§pUtvuE„†x{zdƒyxÄrŠ©<w%zdj<’­†rsu‚ryx{zEpUƒP¶

f

i3r

f

i^t“ƒ¨i d­Ui3pHryx‡u‚š{š§©/ɧ–%ʹzEt

x{p’Uu‚tvu‚š{š{i3š2É?‚ÊC²

pz‚r

f

i3t ’tszE¸š{i3j!x‡ƒ „†­iryz0r

f

i¬Àudw'r1r

f

u‚r r f

i~u‚j<zd­pHr1zE¬N„uYrvupUi3i^„i^„/¬¯zdt tsud„†x§zHƒ¨x§rŠ©/w%zdj|

’U­†rsu‚ryx{zEpUƒ~¿¯¬¯zEt™Ei^ty©$w3zEj<’š{i%±`ƒsw%i^pi^ƒvÃx{ƒƒyzx§j<’(zEtyrsuEpdr r f uYr r f

i3©`w^u‚ppUz‚r ´rx§p®j<i3j<zdty©d²~ºpi

ƒyzEš{­†rsx§zdp/ryzr

f

x‡ƒ’Utyzd¸š§i^j x{ƒryz0’Uu‚tyryx§ryx{zEp/r

f

i<ƒyw3i3pix§pHryz¾w%i^š§š‡ƒƒyz~r

f

uYr zEpš{©/uƒy­¸Uƒyi%r1z‚¬w%i^š§š‡ƒx{ƒ

j~uEx§pHrsuEx§pUi^„x{p<j<i3j<zEts© ¬¯zEt x{š§š{­j<x§pauYryx{zEp<w%zdj<’­†rsu‚ryx{zEpUƒ^² e7f

x{ƒ x‡ƒ j~uE„†iP’(zdƒsƒ¨x{¸š{iP¶“x§r f r f i f

i3š{’zE¬

™Œx‡ƒ¨x{¸x{š§x§rŠ©¾tyi^š{u‚ryx{zEpUƒ

f

x{’Uƒ7¸ai3rŠ¶Ni^i3pr

f

i^ƒyiw%i^š§š‡ƒ^²Poqpa„†i3ic„¹€au~’(zEš{©ŒEzdp¾x{p$u~ƒy­¸Uƒyi%r ) ƒ f

zŒz‚rsƒ@VHuYr

f

i3tvƒ

i^pi3tsE©`ryz.@c¬¯tszEju‚š{šr

f

izd¸†‰Ši^w%rsƒš§©Œx{p$x{p

)

uEƒ¶Ni^š§š7uEƒr

f

zHƒ¨i°™Œx‡ƒ¨x{¸š{i°r

f

tyzd­

f r f i f

zEš{i^ƒ¾¿Àu‚š‡ƒyz

rsi3tsj<i^„

,/2A

Ãx{pÅx§rsƒ¸(zE­pU„Uu‚ts©ªš{x{ÆEi¶“x{pU„†zY¶ƒzdt„†zŒzdtsƒ¬¯zEt<¸­x{š{„x§pHƒx{pHryi^tyx{zEtvƒ3² e7f

­Uƒ^€2zEpi

pUi3i^„Uƒrszš{zdud„°x{p0j<i^jzdty©<r

f i w%i3š{š‡ƒ¿Àƒ¨ryzEtsi^„zEpr

f

i„†x‡ƒ¨ÆÃNw%zdpUw%i^typic„°¶“x§r f r f

i1tvuE„†x{zdƒyxÄrŠ©~w3zEj<’­†|

rvuYrsx§zdpUƒ3€Hrsz¶“x§r

f

„†tvuV¶µr

f

ipzdp†|}pi^w3i^ƒsƒyuEty©<w%i^š§š‡ƒ³¬¯tszEj j<i3j<zdty©~u‚pa„°j<zY™Ei“r

f

i3j ¸UuEwvÆryzr

f i „†x‡ƒ¨ÆJ²

e7f

x{ƒzE’(i3tvuYryx{zEptsiH­x{tyicƒ7j~u‚pŒ©¾„x{ƒyÆ°rstsuEpUƒŠ¬¯i^tsƒ¶

f

x{w

f

uEtyi™di3ts©0w3zdƒ¨ryš{©x{p/ryi^tyj~ƒ“zE¬2w3zEj<’­†rvuYrsx§zdp

rsx§j<id² e7f

icƒ¨i rstsuEpUƒŠ¬¯i^tsƒPj­UƒŠr¸aizdts„†i^tyic„0ƒyz~uEƒ7rsz~tyic„†­Uw3ii%±†’ai^pUƒyx§™di1tsi^ud„0uEpU„¾¶“tyx§ryizd’ai^tsu‚ryx{zEpUƒ

¿¯¬¯tyzdjB@VzEpHrszr

f

i„†x‡ƒ¨Æ°zdt“j<i3j<zEts©Ã'²

oqp«r

f

x‡ƒ’au‚’(i3tc€ ƒyi3™di3tvu‚š³zdts„i3tsx§p`ƒŠrstsu‚ryi3dx§icƒ3€ „†x§È(i^tyi^pHr¬¯tszEjr

f

i0zEpicƒ„†icƒyw3tyx{¸(i^„«x{p\ɧ–%Ê}€³u‚tsi

’Utyzd’azHƒ¨ic„¹² e7f

i^ƒyiƒ¨rytvuYryi^Ex{i^ƒj~uEÆEi°­Uƒyi°zE¬“r

f

i¾w%i3š{š‡ƒtsi^ƒy­šÄrsx§pU/¬¯tyzdj r f

i0ƒsw%i^pi°’UuEt¨rsxÄrsx§zdpx{puEƒ

¶Pi3š{šhuEƒ“udtsuE’

f

i3±†’tyicƒyƒyx{p™Œx‡ƒ¨x{¸x{š§x§rŠ©°¸(i%rŠ¶Pi3i^p0r

f

i^ƒyiw%i^š§š‡ƒ3²

e7f

izEtsduEpx3C^uYrsx§zdpz‚¬³r

f

x{ƒ1’UuE’ai^tx‡ƒ uEƒ¬¯zEš{š§zY¶ƒ^²

ˆ

tsi3™Œx§zd­Uƒ¶PzEtsƆƒuEtyi´Utsƒ¨r1ƒy­j<j~u‚tsxDC^i^„r

f

i3p

¬¯zdš§š{zY¶Pi^„®¸Œ©«u‚p«zY™Ei^ty™Œx{i3¶+z‚¬zd­tuEš§dzEtsxÄr

f

j² i3±Œr^€2zE­Utzdts„†i^tyx{p$ƒ¨rytvuYrsi3Ex{i^ƒu‚tsi„†icƒyw3tyx{¸aic„«x{p

„i%rsuEx§šC²FE&x{pUu‚š{š{©E€¹tsi^ƒy­šÄrvƒ1z‚¬Ni3±†’ai^tyx{j<i3pHrsƒ u‚tsi’UtyzY™Œx‡„†i^„$ryz„†i3j<zEpaƒŠrstsu‚ryir

f

i<­Uƒyi%¬¯­š{picƒyƒ1z‚¬Nr

f

icĬi

ƌx{pU„ƒ7zE¬ ƒ¨rytvuYrsi3E©d²

G H

2“;¾#%.JI =K°

œ¬¯i3¶l¶NzdtyƆƒuE„„†tsi^ƒsƒr

f

i’tszE¸š{i3j!zE¬’

f

zEryzEtsi^uEš§x‡ƒ¨ryx‡wtsi3pU„†i^tyx{p0z‚¬Nw3zEj<’š{i%±$ƒyw3i3picƒ w%zEpHrvu‚x{px§pU

j<x{š§š{x{zEpUƒ“zE¬&zd¸†‰Ši^w%rsƒ^²

e

z~zE­tÆHpUzY¶“š§ic„†Eid€

e

i^š§š{i3tɧ–%Ê&x{ƒzEpizE¬Ar

f

i´UtvƒŠruE­†r

f

zEt¶

f

z~’Utyzd’azHƒ¨ic„0uEp

uEš§dzEtsxÄr

f j ¬¯zdtƒyzEš{™Œx§p<r

f

x‡ƒ’tszE¸Uš§i^j¾²

¦

x{ƒzE¸†‰Šicw'rsx§™dix{ƒryz°­aƒ¨itvuE„x§zHƒ¨x§rŠ©°¬¯zdtEš{zE¸UuEš x{š§š{­j<x{pUuYrsx§zdp

w3zEj<’­†rvuYrsx§zdpUƒ7u‚pU„¾uHuYr

f

i3tsx§pUƒsw

f

i3j<i¬¯zEtPr

f

ityicƒ¨zdš§­†rsx§zdph²

e

zr

f

x{ƒ7i^pU„¹€

f

x‡ƒ“u‚’’UtyzHuEw

f

w3zEpUƒyx{ƒ¨rsƒ

x{pƒ¨­¸J„†x{™Œx{„†x{pr

f

iƒyw3i3pi1x§pHrsz<kdÁ w3i3š{š{ƒP¶“x§r f r f i f

i3š{’¾zE¬AuL“‹

ˆ

|}¸UuEƒyi^„’Uu‚tyryx§ryx{zEpUx§pryicw

f

pxH­iE²

e7f

x{ƒ¾š‡uYr¨rsi3t/u‚š{š{zY¶ƒ~ryz¼i °w3x§i^pdrsš§©»w3zEj<’­†rsi®™Hx‡ƒyx§¸x{š{xÄrŠ© ¸(i%rŠ¶Pi3i^pGw%š{­Uƒ¨ryi^tsƒ^²  „UuYrsudƒŠrsty­aw'ry­Utyi`x{ƒ

—

udƒyƒyz†w%x‡uYrsi^„°¶“x§r

f

icuEw

f

™Œx‡ƒ¨x{¸x{š§x§rŠ©°tsi3š‡uYrsx§zdpUƒ

f

x§’¾¸ai3rŠ¶Ni^i3p0rŠ¶Nz™Œx{ƒyx{¸š§iw3š§­aƒŠrsi3tvƒ3² e7f

x‡ƒ“„uYrvuEƒ¨ryts­Uw'rs­tsi

w3zEpHrsuEx§paƒ uš{x{ƒ¨r7z‚¬ ¸š{z†wvÆEi^tsƒ^€Huš§x‡ƒ¨rPzE¬ š§x{pƆƒP¸ai3rŠ¶Ni^i3pr

f i ƒ¨­Ut¨¬Àudw%i^ƒNz‚¬A¸azEr

f

w3š§­aƒŠrsi3tvƒ3€†w%zdpŒ™Ei%±

f

­š{š{ƒ

zE¬Aw%š{­Uƒ¨ryi^tsƒ^²§²{² e7f

i^ƒyi„UuYrsui3pau‚¸š{iicuEw

f

w3š§­aƒŠrsi3tNryzduYr

f

i3tPi3pUi3tsE©¬¯tyzdj r f i1z‚r

f

i3t“w3š§­Uƒ¨ryi^tsƒN™Œx{ƒyx{¸š§i

¬¯tszEj xÄrc²

e7f

i„uYrvuEƒ¨ryts­Uw'rs­tsi^ƒ“tsi^ƒy­š§ryx{p~¬¯tszEj r f i L7‹

ˆ

’Uu‚tyryx§ryx{zEpUx§pa€aw3š§­Uƒ¨ryi^tyx{puEpU„™Œx{ƒyx{¸x§š{x§rŠ©w^u‚š‡w%­†|

š‡uYrsx§zdpUƒuEtyiƒ¨ryzdtyic„<zEp°„†x‡ƒyÆ(²ºpš{©<uƒ¨j~uEš§š(’azdt¨rsx§zdp~z‚¬Jr

f

i^ƒyi„u‚rsutsi^ƒyx{„ix§pji^j<zEts©¬¯zEtPtvuE„†x{zdƒyxÄrŠ©

w3zEj<’­†rvuYrsx§zdpUƒ3²&ƒ r

f

iu‚š{Ezdtyx§r

f

j”­†ryx{š§x3C3icƒ2du‚r

f

i^tyx{pa€YxÄr³HuYr

f

i3tvƒ i3pi^tyd©x§j<’x{pEx{p zEp<icuEw

f

w3š§­aƒŠ|

rsi3tc²

e

zr

f

x{ƒi3pU„h€dx§rš{zduE„Uƒ2x§p~j<i^jzdty©u tyicw%i^x§™Œx{pw%š{­Uƒ¨ryi3t \udƒ2¶Ni^š§š(uEƒ2zdpizE¬ar

f

i™Œx‡ƒ¨x{¸š{iw%š{­UƒŠrsi3t

²&¬ryi3ts¶7u‚tv„ƒ »HuYr

f

i3tvƒ i3pi^tyd©¬¯tszEj ²

e7f

x{ƒ2zd’ai^tsu‚ryx{zEp<x‡ƒ2tyi^’aicuYrsi^„¬¯zEtuEš§šUr

f

iz‚r

f

i3tw3š§­Uƒ¨ryi^tsƒ

™Œx‡ƒ¨x{¸š{i1¬¯tyzdj ²³NuEw

f

ƒ¨zd­tsw3iw3š§­Uƒ¨ryi^t

j<z†„†x§´Ui^„0¸Œ©~r

f

i1HuYr

f

i3tsx§pUzd’ai^tsu‚ryx{zEp`¿_w%tsi^u‚ryx{zEpzE¬Api^¶

ƒy­ty¬ÀuEw3i~i3š{i3j<i3pHrsƒvÃx‡ƒƒsuV™Eic„ªzEp½„†x‡ƒ¨ÆJ²i^ƒy’x§ryi°r

f

i­aƒ¨i°zE¬“r

f

i¾„†x‡ƒ¨Æ®w3udw

f

iE€Ar

f

icƒ¨i¾„†x‡ƒ¨Æ`rytvu‚p†¬¯i^tsƒ

tsi3j~uEx§pryzŒz<x§j<’(zEtyrsu‚pHrc² e7f

x{ƒ7x‡ƒ7¶

f © e

i^š§š{i3t“’Utyzd’azHƒ¨icƒPƒyi3™di3tvu‚š

f

i3­Utyx‡ƒŠrsx{w^ƒP¬¯zEt7i °w3x§i^pdrsš§©0zEtv„†i3tsx{p

r f

i^ƒyi„†x‡ƒ¨Ærytvu‚pUƒ¨¬¯i3tvƒ7ƒ¨zr

f

uYr“r

f

iw%zEpHrsi3pHrsƒ7zE¬Ar

f

iw3uEw f i w f

u‚pdi^ƒ7ƒ¨š{zY¶“š{©E² e7f

i^ƒyi

f

i^­tyx‡ƒ¨ryx‡w3ƒ“u‚tsi

£&Ñ Ð Ð ¢YÑ Ì ¢Œ¥

uYr

f

i3tsx§pUx‡ƒ7tvu‚pU„†zdj<š§©°’(i3ty¬¯zEtsj<i^„¹²

Ð Ñ Ì Ð ¢YÑ Ì ¢Œ¥Ò

š§­Uƒ¨ryi^tsƒ HuYr

f

i3ti^pi3tsE©/x{pªr

f

i°zdts„i3t x§p®¶

f

x‡w f rf

i^©¶Pi3tsix{pUƒ¨rsuEpdrsx{u‚ryic„

¸Œ©°r

f

ijz†„†i^š§i^t^²

Ð A¢V¤ Ì$Ð ¢VÑ Ì ¢Œ¥

‹†i3š{i^w'r“r

f

itsi^w%i^x§™Œx{p<w%š{­UƒŠrsi3t¶

f

x{w f¾f

uEƒ7j<zHƒŠrzE¬ryi3puEw%ryic„¾udƒ“u<ƒ¨zd­tsw3iE²

Ì Ð ¢YÑ Ì ¢Œ¥

ܠw

f

ic„†­š{i^ƒw%š{­Uƒ¨ryi^tsƒ1¸Œ©/rytvuV™Ei^tsƒyx{p°r

f

i°w%i^š§š‡ƒ z‚¬Nr f i L“‹

ˆ

rytsi3id²<oqp`r

f

x‡ƒ ¶PuV©

w%zdpUƒ¨icw%­†rsx§™diw%i^š§š‡ƒuEtyiw

f

zdƒyi3p~¸Œ©<ƒ¨i^š§icw'ryx{pr

f

ipUi3x{

f

¸azdtNw3i3š{š(ƒyi3i^p<¬¯tyzdjœr

f

iš‡u‚tsEicƒŠr³’(zEtyrsuEš_²

e7f

x‡ƒuE’’tszduEw

f

i%±†’š{zEx§rsƒr

f

i™Œx{ƒyx§¸Ux§š{xÄrŠ©w%z

f

i3tsi3paw%izE¬2w3š§­aƒŠrsi3tvƒ„†­iryz°’UtyzV±†x{jx§rŠ©0uEpU„/š{z†w3u‚š

x§pHrsi3ts™Hx‡ƒyx§¸x{š{xÄrŠ©d²

EUtyzdj r f

i<i%±†’(i3tsx§j<i^pdrvƒ „†zEpi¸Œ©

e

i^š§š{i3tc€Jr

f

i¬¯zd­t¨r

f

uE’’tszdudw f ¶ f

x{w

f

i%±†’š{zEx§rsƒr

f

itsi^ƒy­š§r1zE¬

r f i L“‹

ˆ

’Uu‚tyryx§ryx{zEpUx§p<j<i%r

f

z†„¹€Uƒyi3i^j<ƒ7dx§™Œx{pr

f

i¸(i^ƒ¨rtsi^ƒy­šÄrvƒ3²

Z’UuEtsuEš§š{i3šJu‚š{Ezdtyx§r

f

j+¬¯zdtPtvuE„x§zHƒ¨x§rŠ©w3zEj<’­†rvuYrsx§zdpx{p0š‡u‚tsEii3pŒ™Œx§tszEpj<i^pdrvƒ

f

uEƒN¸ai^i3p¾’tyzd’azHƒ¨ic„

¸Œ©BEU­pÆ

f

zd­Uƒ¨i^tÉ?‚ÊC² e7f

x‡ƒ“u‚š{Ezdtyx§r

f

jnj<uEÆEicƒN­aƒ¨i z‚¬Ar

f

iƒsu‚j<i„u‚rsuEƒ¨ryts­Uw%ry­tsi^ƒ7uEƒNr

f

zdƒyi ’tyzd’azHƒ¨ic„

¸Œ©

e

i^š§š{i3tc² e7f

iƒsw%i3pUi°x{ƒzEtsduEpxDC^i^„`x§p«dtyzd­’UƒzE¬w%š{­UƒŠrsi3tvƒ¶

f

x‡w

f

u‚tsi°„†x‡ƒŠrstyx{¸­†rsi^„®¸Œ©r f i f

zHƒŠr

’Utyz†w%icƒyƒyzEtJrszr

f

iNƒyš{uV™di2’tszŒw3i^ƒsƒ¨zdtsƒ^²hudw

f

ƒ¨š‡uV™Ei2’Utyz†w%icƒyƒyzEt x{ƒ x§pw

f

u‚tsEi2z‚¬Uw3zEj<’­†rsx§pU“r

f

iPtvuE„†x{zdƒyxÄrŠ©

ƒyzEš{­†rsx§zdp°¬¯zEt7r

f i EtszE­’0xÄr“x‡ƒ7tyicƒ¨’(zEpaƒ¨x{¸š{i¬¯zdt^²=EU­pÆ

f

zE­aƒ¨i^tP’Utyzd’azHƒ¨icƒrŠ¶Pz<„†xÄÈJi3tsi3pHrƒ¨rytvuYryi^Ex{i^ƒ¬¯zEt

š{zdud„¸au‚š‡u‚pUw3x§pEx{™Œx§pUx{pHryi^tyicƒŠrsx§p~ƒy’ai^i^„Œ|}­’Uƒ^²

; ;0#%

º­Ut°u‚š{EzEtsx§r f j f

u‚pU„†š{i^ƒw%zEj<’š{i%±¼ƒyw3i3picƒ°ƒ¨­aw

f

udƒ~¸­x{š{„x§pHƒ~x{pdrsi3tsx§zdtsƒj~uE„i/­’µz‚¬ ’azdš§©ŒEzdpUu‚š

zd¸†‰Ši^w%rsƒ^²Å·’tsi3’tsz†w%i^ƒsƒyx§pªƒŠrsi3’¼’Uu‚tyryx§ryx{zEpaƒr

f

i/ƒyw3i3pix{pdrszªƒy­¸Uƒyi%rvƒ<w3u‚š{š{i^„

2'2>

€NuEpU„¼udtsuE’

f

i3±†’tyicƒyƒyx{p/™Œx{ƒyx§¸Ux§š{xÄrŠ©®tsi3š‡uYrsx§zdpUƒ

f

x§’Uƒ¸ai3rŠ¶Ni^i3p«r

f

i^ƒyi0w3i3š{š{ƒx‡ƒ¸­x{š§rÉ<VÊ}²oqp«r

f

x‡ƒ™Œx‡ƒ¨x{¸x{š§x§rŠ©®Etvu‚’

f €

u™di3tyryi3±`tsi3’tsi^ƒyi3pHrsƒu/w3i3š{šNuEpU„«u‚p®i^„Ei~¸(i%rŠ¶Pi3i3p®rŠ¶Pz/™Ei^t¨rsx{w3i^ƒ u‚pU„!j<i^uEpUƒ r f

uYrzd¸†‰Ši^w%rsƒ

¶“x§r

f

x§p ƒ¨i^i0zEr

f

i^tzd¸†‰Ši^w%rsƒ¶“x§r

f

x{p uEpU„½™Œx‡w%i¾™Ei3tvƒsu² e7f

x‡ƒ™Hx‡ƒyx§¸x{š{xÄrŠ©½dtsuE’

f

rszEEi3r

f

i^t¶“x§r

f

r f

iªzE¸†rvu‚x{pi^„Gw%i3š{š‡ƒ¾uEtyiª­Uƒyi^„\¸H© zd­t¾zEtv„†i3tsx§pU ƒ¨rytvuYryi^Ex{i^ƒ¬¯zEttvuE„†x{zdƒyxÄrŠ©µw%zdj<’­†rsu‚ryx{zEpUƒ^²·º­t

tvuE„x§zHƒ¨x§rŠ©~j<i%r

f

zŒ„¾tsi3š{x§icƒ7zEp¾’tsz‚‰Ši^w%ryx{zEpryi^w

f

pxH­icƒ“¶“x§r

f

¶PuV™di3š{i%rvƒPudƒ7¸UuEƒyx‡ƒ¬¯­UpUw'rsx§zdpUƒu‚pa„0zEÈ(i^tsƒ

<

rŠ¶Pztyicƒ¨zdš§­ryx{zEp®ƒyw

f

i^j<i^ƒ du‚r

f

i^tyx{pu‚pU„®ƒ

f

zŒz‚ryx{pa²°oqp«zE­tx{j<’š{i3j<i3pHrsu‚ryx{zEph€&¶Pi~­Uƒ¨i°ƒ

f

zŒz‚rsx§pU

¸(i^w^u‚­UƒyizE¬x§rsƒ u‚¸x{š{xÄrŠ©rsz H­x‡wvÆHš{©/’tszY™Œx{„†i­Uƒ¨i3¬¯­š2x{j<uEEicƒu‚rr

f

iicu‚tsš§©ƒ¨rsu‚di^ƒz‚¬³r

f

ityicƒ¨zdš§­†rsx§zdp

uEpU„µrsz½x§pHrsi3tvuEw'rsx§™di3š{© ¶7u‚š{Æ r f tszE­

f r f

iªƒyw3i3pi`¶

f

x{š§ir

f

i`tsud„†x§zHƒ¨x§rŠ©µw%zEj<’­rsuYrsx§zdpUƒuEtyi¸ai^x§p

’(i3ty¬¯zEtsj<i^„¹² e7f

x‡ƒ x{ƒ j~uE„i’(zdƒsƒ¨x{¸š{i<i3™Ei^p$¬¯zdtw%zEj<’š{i%±$i^pŒ™Hx{tszEpj<i3pHrvƒ1w3zEpHrsuEx§pUx§p0r

f

zE­Uƒsu‚pU„UƒzE¬

’(zEš{©ŒEzdpUƒNr

f

uEpƆƒPryz<r

f

i™Hx‡ƒyx§¸x{š{xÄrŠ©°dtsuE’

f ²

e7f

ij~uEx§p/w%zdpHrytsx§¸­ryx{zEp¾z‚¬Azd­t“¶PzEtsÆ°x{ƒ“w3zEpUw3i3tspi^„0¶“x§r

f

pi3¶ZzEtv„†i^tyx{p<ƒŠrstsu‚ryi3dx§icƒ3²ºtv„†i3tsx{p

f

uEƒ u‚š{tyicuE„†©/¸(i3i^pªud„„†tsi^ƒsƒ¨ic„$¸Œ©

e

i3š{š§i^t°ÉĖ%ÊC²~ƒƒyi3i^p`x{p`r

f

i~’tsi3™Œx{zE­Uƒ ƒyi^w%ryx{zEph€

f

x{ƒuE’’tszduEw

f

x{ƒ

¸auEƒyi^„$zdpªu¾’tsi^w3x{ƒyi¸­†rw%zdj’Uš§i3±`u‚pU„`™Ei^ty©$w3zdƒ¨ryš{©/™Œx{ƒyx§¸Ux§š{xÄrŠ©’tyi^’tszŒw3i^ƒsƒ¨x{p0x§pŒ™Ezdš§™Œx{pw%š{­UƒŠrsi3tvƒ3€

rs­¸(i^ƒ^€¸š{zŒwvÆdi3tvƒ3²{²{²Aoqp/uE„U„†xÄrsx§zdph€†x{pªÉ§–%Êhr

f i zEtv„†i3tsx{prsi^w

f

pUxH­icƒ“w%zEpaƒ¨x‡ƒŠr“x{p0š{zdud„†x{p<x§pHryz<j<i3j<zdty©

uw%š{­UƒŠrsi3tc€(r

f

iw%š{­UƒŠrsi3tvƒ™Œx‡ƒ¨x{¸š{i¬¯tszEj·xÄruEƒ¶Ni^š§š uEƒ’(z‚ryi^pHryx‡u‚š&¸š§z†wvÆdi3tvƒ3²

pš§x{ÆEi

e

i^š§š{i3tc€JzE­tzEtv„†i%|

tsx{p°ƒŠrstsu‚ryi^Ex{i^ƒ7tsi3š{©°zEp/™di3ts©ƒ¨x{j<’š{i™Œx{ƒyx§¸Ux§š{xÄrŠ©¾w%zdj’U­†rsu‚ryx{zEpUƒ“¸(i%rŠ¶Pi3i^p/w%i3š{š‡ƒx{pUƒŠrsi^ud„0zE¬³w%š{­UƒŠrsi3tvƒ3²

oqpa„†i3ic„¹€Jr

f

ij<i%r

f

z†„$¶Pi­Uƒyirsz¾w3zEj<’­†rsi™Œx‡ƒ¨x{¸x{š§x§rŠ©/¸ai3rŠ¶Ni^i3prŠ¶Nz¾w%i3š{š‡ƒx‡ƒ „†­iryz0x§tsi3©½É;cʳu‚pa„

w3zEpUƒyx‡ƒŠrvƒ7x§p0rytvuEw3x§p<tvuV©†ƒr

f

tszE­

f r f

i’azdt¨rvu‚š‡ƒ“ƒ¨i^’Uu‚tvuYrsx§pUr

f

i^ƒyiw%i3š{š‡ƒ3²

pz‚r

f

i3t„†x§ÈJi3tsi3pUw3i¶“x§r fe

i^š§š{i3t

ƒN¶PzEtsÆ<x{ƒNr

f

uYr“zE­UtNzdts„†i^tyx{pu‚š{EzEtsx§r

f

j~ƒPu‚š{š§zY¶ƒryzš§zHuE„x§pHryz

j<i^jzdty©uw%i3š{š”¿¯x{pUƒ¨ryicuE„zE¬auw3š§­aƒŠrsi3t'ùrszEEi3r

f

i^tA¶“x§r f r f

zHƒ¨i7w%i^š§š‡ƒ(™Œx‡ƒ¨x{¸š{i¬¯tszEj²³ºpUw%ir

f

icĬi

w3i3š{š{ƒ

f

uV™Ei2¸(i3i^pš{zduE„i^„ x{pdrszj<i3j<zEts©E€^r

f

iNƒy­t¨¬Àudw%i³i^š§i^j<i3pHrsƒ ¶“xÄr

f

x§pµƒ

f

zŒzErhr

f

i^x§t&i3pUi3tsE©rszY¶PuEts„Uƒ

r f

izdpi^ƒ¶“x§r

f

x{p$r

f

iw3i3š{š{ƒ ² e

z¾ƒ¨­Uj·­U’h€¹zE­tzEtv„†i3tsx{p°j<i%r

f

z†„ƒ„xÄÈJi3t¬¯tyzdj·r

f

zHƒ¨i’tyzd’azHƒ¨ic„

¸Œ©

e

i3š{š{i3t“x{p0r

f

iƒyi3pUƒyi1r

f

u‚r“r

f

i^©­Uƒyi z‚r

f

i3tƒ¨rytvuYryi^Ex{i^ƒ7u‚pa„

f

u‚pU„†š{i„†x§È(i^tyi^pdr„UuYrsudƒŠrsty­aw'ry­Utyicƒ3²

ƒ2ƒyuEx{„x§pr

f

i7’tsi3™Œx{zE­Uƒ ƒyi^w%ryx{zEph€

e

i3š{š§i^t

ƒ&j<i%r

f

zŒ„tsi3š{x§icƒAzdpuEpzd’†ryx{j~u‚šŒ­UƒyiPzE¬r

f

i7„x{ƒyÆw3udw

f

iE²

¦

zY¶Ni^™Ei^t&¶“x§r f r f

x‡ƒuE’’tszduEw f r f

i­Uƒyi3t

f

udƒ2pzw3zEpHrytszEš†zdp<r

f

iw^uEw

f

id€E¶

f

x‡w

f

x{ƒNuƒ¨i^tyx{zE­aƒ ’tyzd¸š{i3j

x{p w3udƒ¨iz‚¬ j­UšÄrsx§­Uƒyi3t°w3zEj<’­†rsi3tc² Ezdt~i%±u‚j<’š{i/zEpUiw^u‚ppUz‚r°x{j’(zdƒyij~u‚x{pdrvu‚x{px{p«x§pµj<i3j<zdty©

w3i3tyrsuEx§p„uYrvu<pi^w3i^ƒsƒyuEty©°¬¯zEt“r

f

iw%­tstsi3pHrtsud„†x{zdƒyxÄrŠ©°w3zEj<’­†rvuYryx{zEp ² e7f

x‡ƒ“x‡ƒ¶

f

©zdpiw%zdpdrstyx{¸­†rsx§zdp

zE¬Pzd­t¶PzEtsÆ$x‡ƒ ryz/j~u‚pau‚Eir

f

i°j<i3j<zEts© ¿_„†i^ƒ¨ryx{pUu‚ryi^„ªrsz$ƒŠrszEtsir

f

i„UuYrsu/w3zEtstyicƒ¨’(zEpa„†x§pUrsz/r f i

w3i3š{š{ƒvÃ&uEƒ u1ƒ¨zE¬rŠ¶PuEtyiPw3uEw

f

iE² e7f

iPj~uEpUu‚di3j<i3pHr z‚¬Ur

f

x‡ƒ2ƒ¨zE¬rŠ¶PuEtyiPw3uEw

f

iNx‡ƒ

f

u‚pa„†š§ic„¸Œ©zd­t zEtv„†i3tsx{p

ƒ¨rytvuYrsi3dx§icƒ7¶

f

x{w

f

’Utyic„†x{w%r¬¯zEtr

f

iƒ

f

zdt¨ruEpU„j<i^„†x{­j tsuEpEi1rsi3tsj<ƒr

f

i„†x{ƒyÆ0rytvu‚pUƒ¨¬¯i3tw3zdƒ¨rsƒ7r

f

uYr

„i%ryi^tyj<x{pi³r

f

i7w

f

zEx‡w%i³zE¬†r

f

i7w%i^š§š‡ƒ r f

u‚rA¶“x{š§š†ƒ

f

zŒz‚r r f

i3x{t&i3pi^tyd©E² e7f

icƒ¨iPƒŠrstsu‚ryi^Ex{i^ƒhtsi3š{©1zEp„†x‡ƒsw%tsi%ryi

zd’†ryx{j<x{ƒsuYrsx§zdpryicw

f

pxH­i^ƒ r f

u‚rAi3±Œ’Uš§x‡w%x§ryš{©uEw^w%zE­Updr ¬¯zEtAr

f

iPuEw'rs­Uu‚šŒ„†x‡ƒ¨Æ1rstsuEpUƒŠ¬¯i^tsƒ^²hǪiP„zpzEr&w%š‡u‚x{j

r f

uYrzd­t“ƒŠrstsu‚ryi^Ex{i^ƒ“u‚tsi1¸ai3r¨ryi^t¸­†r2‰Š­aƒŠrw3zEj<’š{i3j<i3pHrvu‚ts©<ryzr

f

zHƒ¨i’Utyzd’azHƒ¨ic„°¸Œ©

e

i3š{š§i^t^²

º­tzdts„i3tsx§pƒ¨rytvuYryi^Ex{i^ƒ u‚tsi’Uu‚tyrz‚¬“u0dš§zd¸Uu‚š x{š§š{­j<x{pUuYrsx§zdp®ƒyz‚¬rŠ¶7u‚tsi’auEwvÆYu‚diudƒƒ

f

zY¶“pªx{p

´aE­tsi<–E²

i%r ­Uƒtsi^w^u‚š{š r f

uYr1zE­t1tsi^ƒyzEš{­†ryx{zEp$ƒsw

f

i3j<ix{ƒ1ƒ

f

zHzEryx{pU² œw3i3š{š ¶

f

zdƒyiƒy­t¨¬Àudw%icƒuEtyiƒyi3š{i^w%ryic„

¬¯zdtƒ

f

zŒz‚ryx{p<r

f

i3x{ti3pUi3tsE©¶“x{š{š ¸(iw3uEš§š{i^„

5 T($' 2'2

¬¯tyzdj pzY¶ZzEph² e7f

itszEš{iz‚¬ r

f

izEtv„†i3tsx{p

j<z†„†­š{i<x{ƒrszƒyi3š{i^w%r u¾ƒ

f

zŒz‚ryx{pw%i^š§š³udƒ¶Pi3š{š2uEƒr

f

zdƒyi™Œx‡ƒ¨x{¸š{i¬¯tszEj!x§r^€ ¶“xÄr f r f i f

i3š{’`zE¬NzdpizE¬

r f

izdts„†i^tyx{p~ƒ¨rytvuYryi^Ex{i^ƒ¿À¶

f

x‡w

f

¶“x§š{š ¸(i„†icƒyw3tyx{¸aic„š{u‚ryi^tzEpaĆi3’(i3pU„x§pzEp¾r

f

iw%i^š§š‡ƒu‚š{tsi^uE„©x{p

j<i^jzdty©uEpU„r

f

i7™Œx{ƒyx{¸x§š{x§rŠ©Etvu‚’

f

²Aµš{x§picu‚t2u‚tstvuV©E€cryi^tyj<i^„

)+2'2

’(zEx{pdrvƒ zE­†r2¶Pi%r

f

i3t

uw3i3š{šx‡ƒu‚š{tsi^uE„©x§p~j<i3j<zdty©zEt2pzErNu‚pU„x§¬¹xÄr¶“x{š{š¸ai­Uƒ¨ic„<¸Œ©r

f

itsud„†x{zdƒyxÄrŠ©j<z†„†­š{iE² zEryi“r

f

uYru

w3i3š{šJx{ƒP­Uƒyi^„¬¯zEt7tvuE„†x{zdƒyxÄrŠ©<w%zdj<’­†rsu‚ryx{zEpUƒPx§¬&uEpU„°zdpš§©~x§¬Ax§r

f

uEƒP¸(i3i^p¾ƒyi3š{i^w%ryi^„¸Œ©<r

f i ’UuEt¨rsxÄrsx§zdpx§pU

j<z†„†­š{iE²“ºpUw%i r f iw3i3š{š{ƒ

f

uV™Ei¸(i3i3p$ƒyi3š{i^w%ryic„0¸Œ©r

f

izdts„i3tsx§p<j<z†„†­š{iE€Ur

f

itvuE„†x{zdƒyx§rŠ©°j<zŒ„­š§ix{ƒ

x{pŒ™EzdÆEi^„h²

º­t1Eš{zE¸au‚šhx{š§š{­j<x{pUuYrsx§zdp`u‚š{Ezdtyx§r

f j x‡ƒdx§™di3p/x{p$´Ud­tyi ;†²oqp`zEpix§ryi^tsu‚ryx{zEp½¿_w3u‚š{š{i^„/o e  ‘

“|

e

oyº :x{pr

f

x{ƒu‚š{EzEtsx§r

f

j°Ã'€au‚š{š¹r

f

iw%i3š{š‡ƒu‚tsi x§prs­tsp$ƒ¨i^š§icw'ryic„uEƒƒ

f

zŒz‚rsx§p°w3i3š{š_² ­tyx{p<r

f

i´UtvƒŠr

x§ryi^tsu‚ryx{zEph€†zdpš{©~r

f

iš{x{

f

rƒ¨zd­tsw3i^ƒ7ƒ

f

zŒz‚r“r

f

i3x{t“i3pi^tyd©ƒ¨z~udƒrsz~Ei3r7tsi^ƒy­š§rsƒ7™di3ts©°i^uEtyš{©E²

? ‘

ud„†x§zHƒ¨x§rŠ©

Ž/z†„†­š{i

x‡ƒ¨Æ

'O

Žu‚x{p0j<i3j<zdty©

x‡ƒyx§¸x{š{xÄrŠ©

tvu‚’

f

ºts„i3tsx§p<Ž/z†„†­š{i

EAx{E­Utyi<–‹†©Œƒ¨ryi^j uEtsw

f

x§ryicw'rs­tyi

e7f

i¬¯­pUw%ryx{zEp y¿_Ã2x‡ƒNpzj<zdtyir

f

uEp°r

f

izdts„†i^tyx{pj<z†„†­š{iE²2o}r“w%zdtytsi^ƒy’(zEpU„ƒ³ryzr f i

x{j<’š{i3j<i3pHrsu‚ryx{zEpz‚¬ zEpUi1zE¬Ar

f

izEtv„†i^tyx{p<ƒŠrstsu‚ryi3dx§icƒ7¶Ni

f

uV™di„†i3™di3š{zE’’(i^„¹²³ƒ7¬¯zEtr

f

i’tsz†w%ic„†­tsi

!"# $¨¿CÃ'€ŒxÄr“u‚š{š{zY¶ƒ³i^udw

f

ƒ¨­Ut¨¬Àudw%izE¬¹r

f i ƒyi3š{i^w'rsi^„°w3i3š{š Zryzƒ

f

zŒzErNx§rsƒPi3pi^tyd©rszY¶PuEts„Uƒ

r f

iƒy­t¨¬Àudw%icƒN¶“x§r

f

x§p œuEƒ7¶Pi3š{š uEƒPr

f

zdƒyi ¸ai^š§zdpEx{pryzr

f

iw%i3š{š‡ƒ“™Œx{ƒyx§¸Uš§i1¬¯tszEj ²

e7f

ipUi%±Œrƒ¨icw'rsx§zdp¾„†icƒyw3tyx{¸(i^ƒ7x{p„i%rsuEx§š¹zd­t“zEtv„†i^tyx{p<ƒŠrstsu‚ryi3dx§icƒ3²

%

2"/³#^

&(') *,+-.0/1-2435

i%r­Uƒtyicw3u‚š{šJr

f

uYrr

f

izE¸†‰Šicw'rsx§™di1zE¬Ar

f

x‡ƒ¶PzEtsÆ°x{ƒ“ryz°w%zdj<’­†ryidš§zd¸Uu‚š¹x{š{š§­j<x{pUuYrsx§zdpx§p™Ei^ty©š{uEtydi

i^pŒ™Hx{tszEpj<i3pHrvƒ ¶“x§r f r f

iPtvuE„x§zHƒ¨x§rŠ© ji3r

f

z†„¹²2ƒ x§pÉĖ3ÊC€‚ryz j<i3i%r r

f

x{ƒ dzduEš_€Vr

f

i“ƒyw3i3pi7x‡ƒA’au‚tyryx§ryx{zEpic„

x{pHryzk \w%i^š§š‡ƒuEpU„~udtsuE’

f

i3±†’tyicƒyƒyx{p™Œx{ƒyx§¸Ux§š{xÄrŠ©¸(i%rŠ¶Pi3i3p<r

f

i^ƒyiw3i3š{š{ƒ2x‡ƒ³¸U­x§š§r^² e7f

x{ƒ2dtsuE’

f

u‚š{š§zY¶ƒ

rsz°j~u‚x{pHrsu‚x{pu°ƒy­¸Uƒyi%r1z‚¬w3i3š{š{ƒx§pji^j<zEts©¬¯zdt¶

f

x‡w f rf

itvuE„†x{zdƒyxÄrŠ©¾w%zdj’U­†rsu‚ryx{zEp$x‡ƒ’(i3ty¬¯zEtsj<i^„¹²

‘

uE„†x{zdƒyxÄrŠ©~w3zEj<’­†rvuYryx{zEpw%zdpUƒyx{ƒ¨rsƒNx§pw

f

zŒzdƒyx{puƒ¨i3r“z‚¬Aw3i3š{š{ƒ^€ƒ¨i^š§icw'rsx§pzEpUizE¬ r f

i3jn¬¯zdt7ƒ

f

zŒz‚rsx§pU

x§rsƒ1i^pi3tsE©¾ryz0r

f

izEr

f

i^tsƒ¸ai^š§zdpEx{pryz0r

f

i~ƒsu‚j<iƒyi%rc² e7f

x{ƒ1’tsz†w%icƒyƒx{ƒ1tsi3’(i^u‚ryi^„/¬¯zEt z‚r

f

i3t ƒ¨i3rsƒ

zE¬ w%i^š§š‡ƒ³rsx§š{š¹w%zdpH™di3tsEi^pUw%id² o}r7pi3ic„ƒ³rszš{zdud„~x§p0j<i3j<zEts©r

f i w%i3š{š‡ƒ¿_ƒŠrszEtsi^„~zdp~r

f i „†x‡ƒ¨ÆÃNw%zdpUw%i^typic„

¶“x§r f r f

itvuE„†x{zdƒyx§rŠ©<w3zEj<’­†rvuYrsx§zdpUƒ3€Hrsz¶“x§r

f

„†tsuV¶»w3i3tyrsuEx§p0pzEp†|}picw%i^ƒsƒsu‚ts©w3i3š{š{ƒN¬¯tszEj j<i3j<zdty©~u‚pa„

j<zY™di°r

f

i3j ¸auEwvÆ®ryzªr

f

i/„†x{ƒyÆJ² e7f

x‡ƒ<zE’(i3tvuYrsx§zdpÅtsiH­x{tyicƒj~uEpH©½„x{ƒyÆÅuEw^w%icƒyƒyi^ƒ^€³¶

f

x‡w

f

x‡ƒ<™Ei^ty©

w3zdƒ¨ryš{©~x§p0ryi^tyj~ƒ7zE¬Aw%zdj’U­†rsu‚ryx{zEp0ryx{jid² e7f

i^ƒyi„†x‡ƒ¨Æ°udw3w%icƒyƒyi^ƒPw%zdtytsi^ƒy’(zEpU„°ryzr

f i rstsuEpUƒŠ¬¯i^tNzE¬&w3i3š{š{ƒ

›

Ð Ÿ £ &£†¡Ð

¿CÃ

rŠ©H’(i^„i%¬³ƒŠrsty­aw'r

Ò  E 

‹

¸(zŒzEš{i^uEp0oqp Ž$i3j<zEts©

¸(zŒzEš{i^uEp e z LPi

ƒ¨ic„

oqpdrsi3di3t

Ò @

Ò

i3š{šhx{„i3pHryx§´Ui3t@

Ò  E  ‹ Ò

i3š{š oqp Ž$i3j<zEts©¹ÉpŒ­j¸ai^t z‚¬ w3i3š{š{ƒ¨Ê

o e  ‘  e

oyº

@

x‡ƒ7r

f

i™Œx‡ƒ¨x{¸x{š§x§rŠ©°dtsuE’

f

@

‘

i^ud„

x‡ƒ¨x{¸x{š§x§rŠ©

tsuE’

f

EtszEj x{ƒyƹ¿_Ã

oqpxÄrsx{uEš§x3C3iH¿

Ò

i^š§š oqp Ž/i^j<zEts©JÉdʯÃ

Ç f

x§š{ipzEr¿Àw%zdpŒ™Ei3tsEi^pUw%iVÍ ¿ ! #"%$'& "($ *)(+ VÃ

pj~u‚tsÆ š§š

e7f

i Ò i3š{š{ƒc¿_Ã

@, Ò f

zŒzdƒyi1r

f i ´atsƒ¨rƒ

f

zŒzEryx{p~w%i3š{š-@

% ¨¿/.10324 '52 + " # "(6Ã

@, Ò f

zŒzdƒyi

Ò

i^š§š}¿_Ã7j<z†„†x§´Ui^ƒ

Ò

i^š§š oqp Ž/i^j<zEts©JÉHÊ7 @

Žu‚tsÆ

Ò

i3š{š}¿

Ò

Ã

@, e7f

iw3i3š{š x‡ƒ7j~u‚tsÆEic„„†­tsx{p<r

f

iw3­tstyi^pdr7x§ryi3tvuYrsx§zdp8@

¶ f

x§š{i pz‚r¿_u‚š{š¹r

f

iw3i3š{š{ƒ“uEtyi1j~u‚tsÆEic„UÃ

@, e7f

iw%i^š§š lƒ

f

zŒz‚rsƒ7pUzY¶\x§rsƒ7i3pUi3tsE©9@

!"# y¿:2 $ ,+ " # "(6†Ã

@, Ò f

zŒzdƒyi u<ƒ

f

zŒz‚rsx§p~w3i3š{šh¶

f

x‡w f0f

udƒ7pz‚ruEš§tsi^ud„†©; @

@,ƒ

f

zErxÄrvƒ“i3pUi3tsE©°„†­tsx{pr

f

x‡ƒ“x§ryi3tvuYrsx§zdp8@

% $¨¿<.=0324 82 $ ,+ " # "6Ã

Ž$uEtyÆ

Ò

i3š{šC¿

Ò

Ã

'>? 'A@»–,

EAx{E­Utyi ;

i^pi3tvu‚šhuEš§dzEtsxÄr f j

¸(i%rŠ¶Pi3i^p®r

f

i0j<i3j<zEts©`uEpU„ªr

f

i¾„†x‡ƒ¨ÆJ² e7f

i^ƒyi°’UuEt¨rsxÄrsx§zdpi^„ªrstsuEpUƒ¨¬¯i3tvƒj­Uƒ¨r¸(izdts„†i^tyic„®ƒ¨z$udƒryz

tsi^„­Uw%iPi%±†’(i3pUƒyx§™diNtsi^ud„u‚pa„¶“tsxÄrsiNzd’ai^tsu‚ryx{zEpUƒP¿¬¯tszEjB@VzdpHryzr

f

i“„†x‡ƒ¨Æzdt&j<i^jzdty©Ã%²

e

z¸(i7i%ÈJi^w'rsx§™diE€

uEp`zdts„i3tsx§p¾u‚š{Ezdtyx§r

f

j!j­Uƒ¨rƒsw

f

ic„†­š{i<ƒy­Uw^w%i^ƒsƒyx§™diƒ

f

zŒz‚ryx{pHƒ1ƒyz/uEƒryzj<x{px§j<x3C3i°„†x‡ƒyÆ$uEw3w3i^ƒsƒ¨icƒ3€

¶ f

x§š{ij~uEx§pHrsuEx§pUx§p¾tvu‚’x‡„w3zEpŒ™Ei^tydi3pUw3i’tszE’(i3tyryx{i^ƒ^²

p†¬¯zdt¨rs­pUu‚ryi3š{©E€Jr

f

x‡ƒ ’tyzd¸š{i3j!x‡ƒi H­x§™YuEš§i^pdr

rsz°´Upa„†x§pU0u°ƒyzEš{­†ryx{zEp$ryz°r

f

irstsuV™di3š{x§pU°ƒyuEš§icƒ¨j~u‚p/’Utyzd¸š§i^j ¶ f x{w

f

x{ƒj<zEtsiw%zdj’Uš§i3±¾x{pzd­tw^uEƒyi

¸(i^w^u‚­Uƒyi r f

i„u‚rsu‚¸auEƒyi w f

u‚pdi^ƒ„†©ŒpUuEj<x{w^u‚š{š§©ª¿Àw%tsi^u‚ryx{zEpz‚¬2pi^¶:š§x{pƆƒ3€(pi^¶Zi^š§i^j<i3pHrsƒ„†­irsz~r f i

f

x§i^tsudw

f

x{w^u‚šJtvuE„†x{zdƒyxÄrŠ©°uE’’tszdudw

f

Ã'²



º­tzEtv„†i3tsx§pU<ƒ¨rytvuYrsi3dx§icƒ7zE’(i3tvuYryiudw3w%zdts„x§prsz<r

f

iuEš§dzEtsxÄr

f j dx§™di3p¾x§p´Ud­tsik²Ç

f

i3pi^™Ei3t

u<w3i3š{šhx{ƒw

f

zdƒyi3p0¬¯zEtƒ

f

zŒz‚rsx§p<x§rsƒ“i^pi3tsE©d€†xÄr

f

uEƒPryz~¸(ix{p¾j<i^jzdty©0uEƒ7¶Pi3š{š uEƒPr

f

zdƒyi™Œx{ƒyx§¸Uš§i1¬¯tszEj

x§r^² oqp~w3udƒ¨i“zdpi7z‚¬Jr

f

i^ƒyiw%i3š{š‡ƒ2x{ƒ³pz‚ruEš§tsi^ud„†©x{p~ji^j<zEts©E€‚x§rx‡ƒ2tyicuE„¬¯tyzdj r f

i„†x‡ƒ¨ÆJ€dx§j<’š{©Œx§p r f i3p

j<i^jzdty©@‚„†x{ƒyÆrytvu‚pUƒ¨¬¯i3tvƒ¶

f

zdƒyiw%zHƒŠrPx{ƒPi^™VuEš§­auYryic„°x{p°rsi3tsj<ƒPzE¬hx§p’U­†rƒ¨­ty¬ÀuEw3i^ƒNzEt7w%i^š§š‡ƒ7„†i3’(i3pU„x§p

zdpr

f

i­Uƒyi^„¾zEtv„†i^tyx{p<ƒŠrstsu‚ryi3d©E² e7f

x‡ƒw%zHƒŠr“x‡ƒ7i3™Yu‚š{­UuYrsi^„¾¸Œ©~r

f i ¬¯­pUw'rsx§zdpi3™Yu‚š{­UuYrsi w%zHƒŠrV¿_Ã%²

x§pHr

Ð Ð   Ì Ì ¿ €oe  ‘  e

oyº €

Ò

i3š{š oqp Ž/i3j<zEts©èÃ

x§pHrw%zHƒŠr j<x§ph€aw%zdƒ¨r

w%zdĬr j<x{p

¦



¬¯zEticuEw

f

w3i3š{š

@, E&x§pa„¾r

f

iƒyi%r

‹0zE¬ w3i3š{š{ƒ7™Œx‡ƒ¨x{¸š{i ¬¯tyzdj @

‹8Z´UpU„ ™Hx‡ƒyx§¸š{i ‹†i%rc¿ € Ã

w3zdƒ¨r”³™YuEš§­Uu‚ryi

Ò

zHƒŠrV¿ €

‹J€

Ò

i^š§š oqp Ž/i^j<zEts©†Ã

x§¬“¿2w%zdƒ¨r1 Gw3zdƒ¨r j<x§p$Ã

w%zHƒŠr jx{p”w3zdƒ¨r

tsi^ƒy­šÄr4

’J„uYrsid¿

€ s€

Ò

i^š§š oqp Ž/i^jzdty©Ã

tyi3ry­tsptyicƒ¨­š§r

E&x§d­tyik

i3pi^tsuEš¹zEtv„†i3tsx§pUuEš§dzEtsxÄr f j

’(„u‚ryiH¿_Ã1x‡ƒ1u’tszŒw3i^„†­Utyi¶

f

x{w

f

ƒyi%rsƒryz e“‘

\r

f

i´Ui^š{„Uƒ

uEpU„

! #

zE¬

r f

i~„uYrvuEƒ¨ryts­Uw'rs­tsi^ƒ

) 6 7

¿_ƒ¨i^i´aE­tsi ;dÃudƒyƒyz†w%x‡uYrsi^„/¶“x§r f r f

i~w3i3š{š{ƒ1x{p

‹ ¿Àƒyi3i´Ud­tsi

kHÃ'²o}ruEš{ƒyz0ƒyi%rvƒryz E†

‹†\zdpš{©/r

f

i´Ui^š{„

! #

udƒyƒyz†w%x‡uYryic„$¶“x§r

f

w%i^š§š‡ƒ1pz‚r™Œx{ƒyx{¸š§i¬¯tszEj

r f

iƒyi3š{i^w'rsi^„¾ƒ

f

zHzEryx{p~w%i^š§šh¸U­†ru‚š{tyicuE„†©~x{pj<i3j<zEts©E²

oqp`zE­t1x§j<’š{i3j<i^pdrvuYrsx§zdph€¹¶Ni

f

uV™diš§x{j<xÄrsi^„ryzu°™Yu‚š{­i " r f

i<ƒ¨x3C3iz‚¬³r

f

iji^j<zEts©¾­aƒ¨ic„

¬¯zdt¾ƒ¨ryzdtyx{pÅr

f

i®w%i^š§š‡ƒ3€¶

f

x‡w

f

w%zdtytsi^ƒy’(zEpU„ƒ°ryzµuÅw3i3tyrsu‚x{p»pŒ­j¸ai^t¾zE¬w%i^š§š‡ƒr

f

u‚r™YuEtyx{i^ƒ0„†­tsx§p

r f

itsud„†x§zHƒ¨x§rŠ©/w%zdj’U­†rsu‚ryx{zEp’Utyz†w%icƒyƒ^² Ç`i

f

uV™diw

f

zHƒ¨i^pu0™VuEš§­Ui’tszE’(zEtyryx{zEpau‚šhrsz¾r

f

ij~uY±†x§j­j

pŒ­j¸ai^tzE¬7x{p’­r<ƒy­ty¬ÀuEw%icƒ r f

uYrw^u‚p«¸(i0ƒ¨ryzdtyic„`x{p½j<i3j<zdty©d²/Ç`i

f

uV™Ei~’tsi%¬¯i^tytsi^„ªrsz$j~u‚Ædi~r f i

š{x{jx§rsu‚ryx{zEpUƒ zE¬j<i3j<zEts©$ƒyxDC^itsi3š{©/zEpr

f

i~pŒ­j¸ai^t z‚¬Pƒy­ty¬ÀuEw3i^ƒ1tsu‚r

f

i^tr

f

u‚p`r

f

i<udw'rs­Uu‚š2j<i3j<zdty©

ƒyx3C3i¿¯r

f

u‚r7w3š§zHƒ¨i^š§©<„†i^’ai^pU„°zdp~r

f

i1pŒ­j¸(i3tPz‚¬&ƒ¨­ty¬ÀuEw3ii3š{i3j<i^pdrvƒNuEpU„°š{x{pƆƒsÃ2¬¯zEtNrŠ¶NztyicuEƒyzEpUƒ^² e7f

i

´atsƒ¨rzdpix‡ƒr

f

uYr uEƒr

f

ipŒ­j¸(i3t1z‚¬ƒy­ty¬ÀuEw3ii3š{i3j<i3pHrvƒudƒ¶Pi3š{š&udƒš{x{pƆƒw^u‚p$x{pUw%tsi^udƒ¨i„†­tsx§pr f i

tsi^ƒyzEš{­†rsx§zdp’tszŒw3i^ƒsƒ3€Vr

f

i“j<i3j<zEts©ƒyxDC^ir

f

i3©pUi3i^„¬¯zEt&r

f

i3x{t³ƒŠrszEtvu‚diNw3uEpdz¸(i3©dzEpU„r

f

i“uE­†r

f

zdtyx3C3ic„

ƒyx3C3i5"

'²

e7f

i/ƒ¨icw%zdpU„Åtsi^udƒ¨zdp½x‡ƒ~ƒ¨x{pUw%i¾r

f

i/pŒ­j¸(i3t~zE¬1ƒy­t¨¬Àudw%i¾i3š{i3j<i3pHrvƒ~u‚pU„ š§x{pƆƒ

f

udƒu

w3zEj<’š{i%±†x§rŠ©`zE¬<¿+ š§zd + Ã'€7+µ¸(i3x{p$r

f

ipŒ­j¸ai^tzE¬x§p’U­†rƒy­ty¬ÀuEw%icƒ3€ ¶Piw3uEp½u/’tsx§zdtyxNi^ƒ¨ryx{j~uYryi

"

'€ ¶

f

x{w

f

x‡ƒj<zdtyi~tsi3š{x{uE¸š{iE² e7f

x‡ƒicƒŠrsx§j~uYrsx§zdp«’tsi3™Ei^pHrsƒ ¬¯tszEji%±w%i^i^„†x{p"

'²*EzEtr

f i

ƒsu‚j<i7tsi^uEƒyzEpaƒ3€V¬¯zdt³ƒ¨zdji7zE¬azE­Ut2zEtv„†i3tsx§pU1ƒ¨rytvuYrsi3Ex{i^ƒAr

f

i„†x‡ƒ¨ÆrstsuEpUƒ¨¬¯i3tvƒ2w%zdƒ¨r2x{ƒ i^™Yu‚š{­UuYrsi^„x§pryi^tyj~ƒ