Mathematical study of multiphase flow under shear through order parameter formulation

HAL Id: hal-00004083

https://hal.archives-ouvertes.fr/hal-00004083

Submitted on 28 Jan 2005

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.

through order parameter formulation

Franck Boyer

To cite this version:

Franck Boyer. Mathematical study of multiphase flow under shear through order parameter formula-

tion. Asymptotic Analysis, IOS Press, 1999, 20, pp 175-212. �hal-00004083�

78:9,; <>=@?BA"CEDF8HG4I

J%K4LNMPO

Q R KSLNTVUXW

Q YZ)[:[>\

TVUXW]O

QQ^Y_:Qa`]bdc_eQ

KdWefhg,i)j:Tlk

Q cmY TnL:O

Qo`]bdc_eQ

K4Wefqpdg5rXsepot

b W cY0_eQa\

K \

TluPO

Q c K4LNT

b

jFg,rvr4wvxXsy"K

\zQ j>t

Q

t

Q^_eQ fhg:{

c

Kdj>t

Qv|

}~h€6‚„ƒ^€…‡†‰ˆ‹ŠŒvŽn‘„’e“m”)•“0–Š—„˜d™oŠŒX“!šm›^—XvœŽnˆvžŸ›  5ŠŒX“!¡]’6¢4Ž“m”£…‰¤4Š› ¥¦“)“¨§S—„’6ŠŽ›^ˆX’ ˆX˜aŠŒX“©’ Œvˆv…«ª]ŽœœŽn’”¬˜“¨§S—„’6ŠŽ›^ˆ

•5ŒXŽš¬Œ–Š¬’ˆ„˜d2 V›”E’ ­!›4˜d“œ„›  H’ ­‘—Xœ®ŠŽXŒX’ £“5¯„—XŽn˜!—XˆX˜v“m”2£ŒX“¨’6”¨°F±“5²X”–Š,–Š—X˜d™!“m³dŽ–Š“ˆvš“P’ˆ„˜!—XˆvŽz§S—v“ˆX“£"›  ´£›^œ—vŠŽ›^ˆv,›  µŠŒX“

–™d–Š“­¶ŽnˆŸ˜dŽ­!“ˆX£Ž›^ˆo·!’ˆ„˜¹¸!“¢¦“ˆ¹Ž® FŠŒX“ ˜dŽº:—v£Ž›^ˆŸš›S“m»!šmŽn“mˆ4Š]ŽP’ œœ›¨•“¨˜¹Š›0˜v“ž “ˆX“N”¬’Š“^°‡†‰ˆ¼ŠŒv“ œn’–ŠP„’6”£Š¨½:’ ˆo’–™v­!dŠ› ŠŽš

–Š¬’ ¾vŽœnŽ®Š¿™”“£—vœ®Š‡Ž5£ŒX›¨•5ˆ>°

À-Á4ÂÃqÄ ÅH…2¤dŒv“¨’”,¯X›6•½X¡P’¨¢4Ž“m”£…‰¤4Š›^¥^“½X©’ ŒXˆd…«ª]ŽœœnŽn’6”¬˜>½:Ƈ”¬˜d“m”5„’6”¬’ ­!“mŠ“N”¨°

}0ÇÉÈÊȵ˵~µÌ

Á

ƒ^€Í‘Îl‚„¨¨ÏnÐFƒ^‚X€Ï

ÄeÑ

…2¸^ÒÓ Ò Ò4½e¸^ÒÓ)Ô^Ò4½:ÕÔ Ö×^Ò4½eÕ Ô^ØצÒS½:Ù¦· ©,· Ô

ÚÛ¹o2Ü!5Ýo.0(,'

yPM

Q![:cmb

u

\zQ R@bdÞ u>W:T

\V_

Tlj:ß

R

KSLmM

QR K4LNTVtK

\R-be_eQ \lY)Þàbdc)R W \

LNTzá

[

MµK

YNQ!â W:T

_:Y MµK¦k

Q u Q Q

j Q

f„L

Q j Y Tlk

Q \zã‹Y LmW

_ T Q _

TljLNM

Q

\

TnL

Qc KSLNW

cNQ-ä¬åæSç g åè¦ç

g å pdp

ç g å pSé

çàê¨|,Z)R¼b j>ß-K

\z\

LNM

bvYNQ‘cmQ Y W \L Y

gvë

Q

tM

bXbXY¬Q

L

b¼Y LmW

_eã LmM

Q‘bvcm_:Qc][

K c K

R¼Q

L

Qc‡ÞàbdcmR W \

KSLmT

b j

|2ì–Þ

ë

Q)b

j

\lã t b j Y T

_eQc LNM

Q _ TníHW

Y Tb j [ M Q j bdR¼Q

j b jFgdLNM

Q‘Q

k

bv\

W:LNT

b j b4Þ

LNM

Q bdc_eQ c5[

K c K

R¼Q

L

Qc TY

ßdTlk

Q

j¼u

ã

LNM

Qî

KdM:jeá£ï)T

\z\

TVK

c_

Q

UXW>K4LNT

b j

ð‘ñ

ð´òó

_

Tzk

ä«ôaä

ñ

ê¬õöê‡÷

x:ø

ëM

Q cNQ¼öù÷

ó)úû

ñÊüqý!þ

äñ ê TY KtM

Q R TVtK

\,[µb LQ

jvLmTlK

\5_eQc Tlk

Q _%ÞàcNbvR K‹t

b K cmYNQ

á–ß

c

K4Tlj

Q^_Y LmW

_eã%bdÞ LNM

Q¼ÞàcNQ Q-Q

j

Qc

ß

ãbdÞ

LNM

Qÿâ W:T

_ÊäNå pvp

çàê K4j

_‹ôoä ñ ê TY

K-j

b

jeá‰j

Q

ßvK4LNTlk

QR¼b u:T

\

TzL

ã t bXQ

t6T

Q

jXLëM:TltM

_eQ [µQ

j

_:Yb joLmM

Q!\zb t K

\ t bvR¼[µbXY

TzLNT

b j b4Þ

LNM

Q

K

\l\lbSãd|

{:W

c

LmM

QcmR¼bdcmQ gXLNM:T

YQ UvWµKSLNT

b

j‹T

Y[:cmb kXT

_eQ^_

ëTzLNM‹LNM

Q t b j _ TnLmT

b j Y

ð ñ

ð

÷ ð ö

ð

÷

x:ø

ä4ê

ëM

Q cNQ TY

LNM

Qb WeLëPK

c_

j

bdcmR

K

\Fb j‹LmM

Q u b W:j

_ K cmãŸb4Þ

LNM

Q_ebdR

K4TljFg:ëM>TltM%t K4ju

Q!cmQ

K _ K Y j b áâ Wefat

b j _ TzLNT

b j Y |

{

bdc

K R KSLNM

QR KSLmTlt K

\FY LNW

_eãab4Þ LNM:T

YQ UvWµKSLNT

b

j‹ë

QcmQ6ÞàQ c

L

bå

w çg åé çg å¦ç g åp

¦ç–|

ï

Q cNQ K ÞL

Qc g"ë

Q K cmQ

TljvL

QcmQ Y

L

Q^_

Tzj LmM

QŸQ

k

bd\

WeLmT

b j b4Þ

Ku:Tlj>K

cmã

K

\l\zbSã

Tzj K%tMµK4j:j

Q \ W:j

_eQc-Y M Q K

c^|

yPM:T

Y-Y TnLmW>KSLmT

b j

K c T

Y¬Q^YÿÞàbdcQ f:K

R¼[:\lQ Tzj k„T

Yt bdR¼Q

L c TVt

Q f [´Qc

T

R¼Q jvL

Y|

W

R-Q cNb

W

Y[

M

ãeY Tlt K

\5[

K

[´QcYŸä¬åæSç

g åèSç‡ÞàbdcQ f:K

R¼[:\lQ^ê

g

[:cmbd[´bvYNQ L b

t b j YT

_eQ c TzjaLNM>T

Y

t K

YNQ g:K¼t

b W [:\

Tzj>ß

bdÞ5î KdM:jeá£ï)T

\z\

TVK

c_

Kdj

_ K¦k„T

Q c áXL

bdQ^YEQ UvWµKSLNT

b j Y ßdTlk

Q

j‹u

ã

ð‘ñ

ðµò ü

õ ñ ó _

Tzk

ä«ôoä

ñ

ê¬õöê‡÷

x

ö÷

ó)úû ñüý

þäñ ê

ð

ðµò ó

_

Tzk

ähä

ñ

ê ä

ê¬ê

ü ä

õ¼ê ÿü

õa÷ öõ

ñ

_

Tzk

ä êE÷

x

ëTzLNM‹LNM

Q u b W>j

_ K cmã

t b j _ TzLNT

b j Y!ä4ê

g>K4j

_

LmM

QY M Q K c u b

W>j

_ K cmã

t b j _ TzLNT

b j Y]Þàbdc

|

ì

j‹LNM:T

Y YNãeY

L

QR g ö TY

LNM

Q

tM

QR Tlt K

\F[´b L Q

jXLNTVK

\g ôaä

ñ ê LNM

QR¼b u:T

\

TzL

ã g Hä

ñ ê TY LNM

Q

kXT

Y t bvY

TzL

ãŸb4Þ LNM

Qÿâ W:T

__:Q[´Q j _

Tlj:ß

b

jÊLmM

Q t bvR¼[µbXY

TzLNT

b j b4Þ

LmM

Q K

\l\lbSã K4j

_%ä ê TY

LNM

Q L Q j YNbdc

p

ä¿õ

¼ü

õ

ê¨|

yPM

Q K _:_

TzLNT

b j bdÞ

K‹L

c

Kdj

Y¬[´bdc L!L

Q cNR Tzj

! #"%$'&!(*),+.-0/10234 #"65789:;+.-<2=>0"%9:?@8)A2

LNM

Q!î KdM:jeá£ï)T

\z\

TlK

cm_¼Q UXW>KSLmT

b

jŸT

Y

UXW:TzL

Q

jµKSLNW

c K \ Kdj

_

LNM

Q)Þàbdc

t

Q^Y

K

[:[´Q K c

Tlj:ßTlj¹LNM

Qc TzßvMvL

R-Q R

u

Qc]b4Þ LmM

Q K¦k„T

Q c áXL

bdQ^Y

Q

UXW>K4LNT

b j R W Y

L)u

Q t b j Y T _eQcmQ _

K Y t K

[ T

\z\

K

cmã¼Þàbdc

t

Q^Y Kdt6LNTlj:ß

b j

\lã j Q K c

LNM

Q

TzjXL

Q c¬Þ Kvt

Qv|

yPM

Q‹[

M

ãeY TVtK

\á cNQ \zQ

kSK4jXL-K

YNY

W

R¼[

LNT

b j b jùLNM

Q‹Þ W:jµt¨LNT

b j ý TY

LNM>K4L¹TnL

R W Y L¹M>K¦k

Q K _eb

W>u

\zQ á‰ë

Q\l\Y L c

Wµt¨LNW

cNQ g Q

KvtM

b4Þ LNM

QR cNQ [:cNQ^Y¬Q

jXLNTlj:ߋLNM

Q

Lë

b[

M>K

Y¬Q^Yÿb4Þ LNM

Q¹â W:T

_h|43

M

ãeY TVt6TVK4j

Y¼äNåæ4ç g åè4ç

g å pdp

çàêÿb4Þ L Q j

[:cmbd[´bvYNQ

L b t b j Y T

_:QcQ TnLmM

Qc

Þ

W:j>t6LNT

b j Y)\

T

dQ

ý

ä65HêE÷ ä p ó 517^ê87

ø

Q

TzLNM

QcPÞ W:j>t6LNT

b j Y)\

T

dQ

ý

ä65´ê‡÷

p ó 5 7

ü:9;

ä p ü 5´ê„\lb

ß äp ü

5´ê

ü ä p ó

5´êe\zb ß äp ó

5Hê=<

ø

ëM

Q cNQ

ë

Q¼Y

W

[:[´bvYNQ

LmM>KSL ñ TY j

bdcmR K \

T?>

Q _ Tlj

Y

W>tMÊKoëPK

ã

LNMµKSLÿLNM

Q

Lë

bo[

W

cNQ¼[

M>K

Y¬Q^Y bdÞ LmM

Q-â W:T

_ K

cNQcNQ^Y¬[´Q t6LNTlk

Q\lã

cmQ[:cmQ YNQ jXL

Q^_

u ã LmM

Q

kSK

\W Q Y

p!Kdj

_ ó p

bdÞ LmM

Q!bdc_eQcP[

K c K

R¼Q

L

Q c |

ì

jBLNM

QaYNQ UXW

Q\‡b4Þ LmM:T

Y[

K

[µQ c ë Q

ëT

\l\

t b jµt

Q

jXL

c

K4L

Q¹b

j R K

Tzj:ß%K

YNY

W

R¼[

LmT

b j Yb

j LNM

QoÞ W:j>t6LNT

b j ý ëM:TVtM

R

KSLtM

LNM

Q YNQ Lë

b

tM

b

TVt

Q^Y|

Z Y‡Þ K c K Y

LmM

QR-b u:T

\

TzL

ã TY t b j>t

Qc

j

Q _ gXK

R

KSLNM

QR KSLmTlt K

\h_

T tW

\L ã TY LNMµKSL

ô¶R

K

ã¼bdcPR K ã j b L

_eQ ß Q j

Qc KSL

Q

LNM>K4LT

Y

L

b¹Y K ã

LNMµKSL

ô

tKdj

Q k Q jvLmW>K

\l\lã k¦Kdj:T

Y

MKSLPLmM

Q![µb TzjXL

Y ó p!K4j

_

pA@:K

[´bvYmY Tlu

\lQ tM

b

TVt

QÞàbdc)ô

T

YPÞàbdcQ f:K

R¼[:\lQ

ôoäB5´êE÷¶ä p ó

57¦êDC øFEHGqx

I -'-2‘'-2

J KLM*NPOQSRTMVUBO1L W

p |p J%KSLmM

QR KSLmTlt K

\FYNQ LNLNTlj:ß

b4Þ LNM

Q![:cmb

u

\zQ R |!|ÿ|!||!|!|ÿ|!|ÿ|!|ÿ|!|!|ÿ|!||!|ÿ|!|!|ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!|

p |

{:W:j>t6LNT

b

j>K

\YN[

Kdt

Q Y K4j

_ j b LmK4LNT

b j

Y+|!|!|ÿ|!|ÿ|!||!|!|ÿ|!|ÿ|!|ÿ|!|!|ÿ|!||!|ÿ|!|!|ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!|

r

p | |p X

Q\lb t6TzL

ã |!|ÿ|!|!||!|ÿ|!|ÿ|!|!|ÿ|!|ÿ|!||!|!|ÿ|!|ÿ|!|ÿ|!|!|ÿ|!||!|ÿ|!|!|ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!|

r

p | | Y

cm_:QcP[

K c K

R¼Q

L

Qc |!|ÿ|!|ÿ|!|!|ÿ|!|ÿ|!||!|!|ÿ|!|ÿ|!|ÿ|!|!|ÿ|!||!|ÿ|!|!|ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!|

w

W Z\[UBL]NP^`_*Ra6MV_ b

|p c

Qed j:TzLNT

b j Y |ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!|ÿ|!|!|ÿ|!|ÿ|!||!|!|ÿ|!|ÿ|!|ÿ|!|!|ÿ|!||!|ÿ|!|!|ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!|

s

| XLmK4L

QR¼Q jvL

bdÞ LmM

Q!cmQ Y

W \L Y |!|ÿ|!|ÿ|!|!|ÿ|!|ÿ|!||!|!|ÿ|!|ÿ|!|ÿ|!|!|ÿ|!||!|ÿ|!|!|ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!|

é

| |p )b

jeá

_:Q ß Q j

Qc KSL

Q

t K

YNQ |!|ÿ|!|!|ÿ|!|ÿ|!||!|!|ÿ|!|ÿ|!|ÿ|!|!|ÿ|!||!|ÿ|!|!|ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!|

é

| | c Q ß Q j

Qc KSL

Q

t K

YNQ*||!|ÿ|!|ÿ|!|!|ÿ|!|ÿ|!||!|!|ÿ|!|ÿ|!|ÿ|!|!|ÿ|!||!|ÿ|!|!|ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!| è

| |r f‘W>K

\

TzLmKSLmTzk

Q u Q MµK¦kXT

bdc |!|ÿ|!|!|ÿ|!|ÿ|!||!|!|ÿ|!|ÿ|!|ÿ|!|!|ÿ|!||!|ÿ|!|!|ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!|

g hNPOO1ij_kOiFMVlS^nm:[UBL&NP^`_*Ra6MV_ J`o

r |p yPM

Q j b j:á‰M

bvR¼b ß Q j

Qb W Y u b

W:j

_ K cNã

t b j _ TnLmT

b j Y |!|!|ÿ|!|ÿ|!|ÿ|!|!|ÿ|!||!|ÿ|!|!|ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!|

p x

r |

)b j:á

_eQ ß Q j

Qc KSL

Q

t K

YNQ |!||!|ÿ|!|ÿ|!|!|ÿ|!|ÿ|!||!|!|ÿ|!|ÿ|!|ÿ|!|!|ÿ|!||!|ÿ|!|!|ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!|

pdp

r |r XL

cmb j:ß

YNbd\

WeLNT

b j Y Tzj‹LNM

Q j b jeá

_eQ ß Q j

Qc KSL

Q

tK

Y¬Q |!|!|ÿ|!|ÿ|!|ÿ|!|!|ÿ|!||!|ÿ|!|!|ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!|

p¦é

r |w p Q K

oYNbd\

WeLNT

b j Y Tzj‹LNM

Q_eQ ß Q j

Q c K4L

Q

tK

YNQ |ÿ|!||!|!|ÿ|!|ÿ|!|ÿ|!|!|ÿ|!||!|ÿ|!|!|ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!|

s

r |s Z

UvWµK

\

TnLKSLNTlk

QÿcmQ Y W \L

|!|!||!|ÿ|!|ÿ|!|!|ÿ|!|ÿ|!||!|!|ÿ|!|ÿ|!|ÿ|!|!|ÿ|!||!|ÿ|!|!|ÿ|!|ÿ|!|ÿ|!|!||!|ÿ|!|

rdx

q r

'¼2(,Ÿ%],6'

ì

j-LNM:T

Y,[

K

[µQ c ë Q

Tzj„k

Q^Y LmTzßXKSL

Qsd>cY L,LNM

Q

UXW

Q^Y LmT

b j b4ÞHQ

feT

Y L Q j>t

Q

g4W:j:TVUXW

Q j Q YmY

g

cNQ ßdW

\K c TnL

ã

Kdj

_ ß

\lb u>K

\

TzL

ãbdÞHYNbd\

WeLNT

b j Y|

yPM

Q

jFg:ë

Q K cNQ

TljXL

QcmQ Y

L

Q^_

TljUXW>K

\

TnLKSLmTzk

QcmQ Y W \L

YPb joLmM

QY¬bv\

W:LNT

b j Y geTzj

[ K c LmTltW

\K c Tzj‹LmM

Q Tc K YNã„R-[

Lb LmTltu

Q

M>K¦k„T

bdc^|

tvu8t w

9xy D{z 9x|N<H9v}H~XDx`x|¬;€¶A‚ƒxy D…„‘8:A‚†‡}D{z

p Q

ëT

\l\

t b j Y T

_eQc u b

LNM

_ T R¼Q

j YTb j

YFˆ-÷

Kdj

_ƒˆ-÷

r

Þàbdc LNM>T

YP[:cmb

u

\zQ R‹|

yPM

Q!YNãeY

L

QR b4Þ2Y¬[

K4LNTVK

\ t b„bvcm_

Tlj>K4L

Q Y tM

bXY¬Q

j

T

Y!ä65 øŠ‰

ê T Þvˆ-÷

g>K4j

_ äB5 ø8‹HøŠ‰

ê T Þvˆ-÷

r | yPM

Q

tM>K4j:j

Q\

ë Q t b j Y T

_eQc TY

Œ ó

p&‰Ž p‘.’v“

K4j

_

LNM

Q0Y M Q K c k

Q\lb tTnL

ã TY tM

bvYNQ j‹L

b u Q76

89

b

jLNM

Q W [:[µQ c

u b W:j

_ K cmãobdÞ

LmM

Q

tM>Kdj:j

Q \

Œ ‰ ÷

p0K4j

_ ó 6 89

b

j‹LNM

Q

\lb

ë

Q c u b

W>j

_ K cmã

Œ ‰ ÷ ó

pXgeëM

QcmQ6 TY K

[´bvY TnLmTzk

Q t b j Y LmKdjXL

|

yPM

Q

tMµK4j:j

Q \

T

YEY

W

[:[´bvYNQ _ L b u Q

Tlj

d

j:TzL

Q

Tzj¹LmM

Q _

T

cmQ t¨LmT

b j 5 Kdj

_ ‹ äT

Þ{ˆ÷

r ê u:WeL

Þàbdc LNM

Q‘R K4LNM

Q R KSLNTVtK

\µY LNW

_:ã-bdÞ

LNM

Q![:cNb

u

\lQR g:ë

Q

ëT

\l\FcmQ[:cmQ YNQ jXLTnL)u

ã

K¼u

b

W:j

_eQ^_‹_:bdR K4Tlj;:

÷ ç

ó=<

ø < å

“>)?@

ç ó pdøp

å

ëTnLmM

< \K cß Q g [:cmb

k„T

_eQ^_

ëTzLNM

[´Qc

T

be_

TVt6TzL

ã t b j _ TzLNT

b j Y Tlj‹LNM

Q

kSK

c

TVK4u

\lQ5 K4j

_ ‹ | yPM

QYNã„Y

L

Q R

ë

Qÿ_:Q K \

ëTnLmM

cmQ

K

_:Y

ð‘ñ

ðµò ü

õ ñ ó _

Tzk

ä«ôoä

ñ

ê¬õöê‡÷

x äp |p ê

ö÷

ó)úû ñüý

þäñ ê äp | ê

ð

ðµò ó

_

Tzk

ähä

ñ

ê ä

ê¬ê

ü ä

õ¼ê ÿü

õa÷ öõ

ñ äp |r ê

_

Tzk

ä êE÷

x¼TljA:

äp |w ê

äx

ê5÷

B

K4j

_ ñ äx

êE÷

ñCB

äp |s ê

[:cmb k„T

_eQ^_

ëTzLNM‹LmM

Q u b W:j

_ K cNã

t b j _ TnLmT

b j Y

ðñ

ð

÷ ð ö

ð

÷ x b j Œ ‰ ÷

pA0D

Œ ‰ ÷ ó

p

äp |ævê

ñ TY

E

á

[µQ c

T

be_

TVt Tlj‹LNM

Q

kSK

c

TVK4u

\lQ Y 5 g‹

äp |é ê

÷F6 89

b j Œ ‰ ÷

pK4j

_ ÷ ó 6

89

b j Œ ‰ ÷ ó

pA

äp |èvê

TY

E

á

[´Qc

T

b„_

TltTljaLmM

Q

kSK

c

TlKdu

\lQ Y 5 g‹

äp |vê

tvu4G

7IH ;‘<1x|¬AE;)9v}~ „ 9,<HD{~ù9;J*;)Avxe9x|AE; ~

ì

jLNM:T

Y2[

K

[´Qc\lQ L1K

KL

_eQ j b L Q

LNM

Q

j>K4LNW

c K \ j

bvcNR b j < L ä: ê g Þàbvca÷

LNM

Q

Tzj>j

Qc,[:cmbe_

W>t6L2T

YPä ø ê

gvKdj

_NM

MO TY

LmM

Q j bdcmR

b

jaLNM

QY¬[

Kvt

Q-P O ä: ê

Tzj

_

W>t

Q^_

u ã LNM

Q

Tlj:j

Q c[:cNbe_

Wµt¨L

ä¬ä ø

êNê!O4|

E Q LRQ

L ä:

ê‡÷ ä< L ä: ê¬ê

“

Kdj

_TS O ä:

êE÷ äUP

O ä:

ê¬ê

“

yPM

Q

Tlj:j

Qc [:cNbe_

Wµt¨L

b4Þ Lë

b L Q j YNbdcYWV

Kdj

_XV þ T

Y_:Qd

j

Q^_

u ã

VZYV

þ ÷ “

[

\3]^`_

? V

\a]^ V þ

\3]^

JcbW)bBJ d‘^ aOTAUBMfe

{

bvc LNM

Q!R K4LNM

Q R K4LNTVtK

\FY LmW

_eãobdÞ LmM

Q![:cmb

u

\lQR g:ë

Q

TzjXL

cmbe_

W>t

Q

LmM

QÿÞàbd\l\lb ëTzj:ß¼M

bvR¼b ß Q j

Qb W Y t b j _

TnLmT

b j Y

g ÷ x b j Œ ‰

÷&h pvø

ä p | p x

ê

g TY

<

á

[´Qc

T

b„_

Tlt‘Tzj‹LmM

Q

kSK

c

TlKdu

\zQ^Y 5 g‹Hø

ä p | pdp

ê

K4j

_

LmM

QY¬[

Kdt

Q^Y i ÷ Œ

gAjNk ä: ê

“vø

_

Tzk

äg ê5÷

x>ø

Y

KSLmT

Y¬Þàã Tzj>ß

ä p | p x

ê

K4j

_Bä p |

pvp

ê 

l

O÷

inmo3prqs

Z Y W Y

WµK

\

LNM

QY¬[

Kvt

Q^Y l B

Kdj

_ l ? ëT

\z\

u Q j b L

Q _XP K4j

_ l | E Q

L)W

YPcNQ tK

\l\

LNM

QÿÞàbd\l\zb ëTlj:ß

cNQ^Y W \L

Y |

p Q

TljvL

cNbe_

Wµt

Q

LmM

Q

„L

b@vQ Y‡bd[´Qc KSL

bdc

gdëM:TVtMŸT

Y

K!j

b

jeá–u

b

W:j

_eQ^_¹bd[´Qc KSL

bdc Tzj

P b4Þ_ebvR

KdTzj

%äatêE÷

l 7

_:Qd

j

Q^_

u ã

t g ÷

ó û g ü

õu j P

øwv

gAj l 7

x ^`m m:[ JybJ=z8h€O1UBLTA[Nn{^c|?_kU LS^.}R[aBUBMfe~J€‚

ƒC„c…†ˆ‡$‡Š‰Œ‹4f†Ž4‹/‘

g“’”

Kõ g K7

‹+•#†–‘c—˜™‘“lš…›œ‹U*†‰3…f‘ŠŽ1ŽžXŽa„Š…

M M

?Ÿ

‘Š—˜ Ž4„y†Ž‹Œ•Ž‚–•†ˆ¡¢Ž4„c…f—*……f£.‹+•Ž4•¥¤

ä: ê#¦

x

•œ„“Ž4„y†Ž¨§4—1†‰Œ‰

gAj

lª©¨…1„y†…

M g M ?

«¤

ä: ê Kõ g K7 ä p |p ê

x ^`m m:[ JybW z ONPL|?_ŽUBL^.}RS[aBU6Mfe ~Jg€‚

C…Žw: †‘;ˆ‡C…‘X†‘ —…yœ‰/†—R•…Žn‹Œ‘4’

“

†‘

gAj S ?B ä: ê

†T…Ž‚—c…‰ N‘A:)Ž4„c…f‘=©0…„y†…

Kõ g K7



K

%äg ê K7 ø

©¨‹UŽa„=Ža„c…-…›œ†‰Œ‹4ŽŒ¡ ‹§ ©¨…•œ‡$‡n•…

ˆ äg

ê5÷

x

x ^`m m:[ Jybg zƒ^1RSa[NPU6Mfe.O1i M*l^M*O^`_SNPOa^`m ~Wo€ž

ƒC„c…—…¥…£‹+•ˆŽU•I†T‘y•ˆŽ‚†‘ŠŽ0¤

¦ x •ˆœ$„“Ž4„y†Ž¨§4—1†‘¡

gAj l 7

©0…1„y†…

M g M 7  ¤ Kt g K7 ø

M*uwM! !"

 ¤ Kt g K7 ø

MuwM$#&% !"

 ¤ M g M ?

x ^`m m:[ Jyb('

)c—

g ø ø+*

j S ? ä: ê

©0…,.…$‘Š…

- äg ø ø+*

ê5÷

“

[

\3]^`_

?

./

g \ ð

^

ð 5 \ * ^ ø

Ža„Š…f‘ - ‹+•…‘.©0…021*¡ZŽa„c…§4‰‰3©¨‹‘&-‡Š—**‡n…f—Ža‹3…•

- äg ø

ø*

ê ü - äg ø+*ø

ê5÷

x>øv

g ø ø*

j

lEø

ä p | p r

ê

†‘3

K- äg ø ø*

ê

K ¤ M g M ? M M ? M * M ? v g ø

ø+*

j S ? ä: ê ø

K- äg ø ø*

ê

K ¤ Kg K%

7 M g M

%

? K K%

7 M M %

? M * M4

% ø v g ø j S ? ä: ê

øžv5*

j l 4% ä p |

pw

ê

E

K4L

Q c!b jFg"ë

Q¹_eQ j b L Q u

ãÊôoäg ø ê

LmM

Q t b jvLmTzj„W

b W Yÿ\

Tzj

Q K

c!ÞàbvcNR b

j¢l

_eQd

j

Q _

u ã ôaäg ø ê * ÷ - äg ø

ø*

ê6|

yPM

Q

[:cmQ k„T

b W Y]cmQ Y

W \L Y M b ë Y LNMµKSL

ô TY u:T

\

Tlj

Q K c K4j

_ t b jXLNTljXW

b W Y]b

j;l @ l |

{2TzjµK

\l\zã gFT

Þ16š¦

x‹T

Y

ßdTlk

Q j ë Q TljXL

cmb„_

W>t

Q

LNM

QŸY LKSLNT

b

jµK

cmãYNbd\

WeLmT

b j bdÞ¹ä

p |r ê á äp |w ê W:j

_eQ c t b j _

TnLmT

b j Y¹ä

p |èXê á äp |vê

ëM

Q j ñ TY t b j Y

LmKdjXLPëM>TltMT

Y

ßdTlk

Q

j‹u

ã

76

8

÷F6

‰ 89 ä p |

p^s

ê

JcbW)bW 9ŽNPQ^ N:[NP[m:^ MV^ N

ï

Q cNQ ë Q

TzjXL

cmbe_

W>t

Q

LNM

Q M bvR¼b

ß Q j

Qb W Y u b

W:j

_ K cNã

t b j _ TnLmT

b j Y ßdTlk

Q

jau

ã

ð ñ

ð

÷ ð û ñ

ð

÷ x b j Œ ‰

÷&h pAvø

ä p |p ævê

ñ TY

<

á

[´Qc

T

be_

TVtTzjaLNM

Q

kSK

c

TVK4u

\lQ YF5 g‹Hø

ä p | p¦é

ê

K4j

_ ë Q

ëT

\l\

W

YNQ LNM

QÿÞàbv\z\lb ëTlj:ß

Þ

W>j>t¨LmT

b

j>K

\YN[

Kvt

Q Y

; ÷

Œ0<

jTk ä: ê ø Y

K4LNT

YÞàã Tlj:ß

äp |p ævê

K4j

_Êä p |

pSé

ê

Xø

K4j

_ŸÞàbvc K4j

ã:=

Gqx:g

;

O]÷

;>

o`prqs

ø

Q j _eb

ë

Q^_

ëTzLNM‹LmM

QP O j

bdcmR|

{

bdc Kdj

ã@? j < ? ä: ê g

\zQ LBA

äC?hê5÷

?

D/ DFE

/ ?

TnL

Y

K¦k

Q c Kdß

Qd|

Y j Q tKdj

d j _ Tzj

åp

¦ç LmM

QÿÞàbd\l\lb ëTzj:ß

\lQR¼R K |

x

^`m m:[ Jybb

)c—1†‘¡ ñ j ; ?

©0…„y†…

M ñ ó A äñ

êM

?  ¤ Kõ ñ K7 ø ä p |p

èvê

†‘37§4—†‘¡ ñ j ;

O

7

©¨…„y†…

M ñ ó A äñ

êˆM O

7

«¤

M û ñ M O ä p |p

vê

ƒ^`m [N0 JybJ

)$—*˜™Ža„$‹+•R‰3…f˜ ˜–†–‘c…,.… 5œ…

M õ

ñ M ? ÷ M õ‹ä

ñ ó A äñ

ê¬êM

?  M ñ ó A äñ

êˆM

7  ¤ Kû ñ K7

øv ñ j ; 7

T…©¨‹‰Œ‰C§žŽž…f‘=œ•…Ža„c•f….‹‘3T§¨…*•ˆŽ4‹˜–†$Ž‚…•0

E

K4L

Q cEb jgXë

Q

ëT

\l\

W

Y¬QY¬bvR-Q u>K

Y

TVt ï)T

\u Q c

LmTlKdjoTljvL

Qcm[µbv\

K4LNT

b j cmQ Y

W \L Y

ëM:TVtMotKdjŸu

Q‘Þàb W>j

_

Tlj

å

p^s

ç–|

p Q K

\VYNb0cmQ tK

\z\

LNM

QÿÞàbd\l\zb ëTlj:ß

cNQ^Y W \L

Y!ä¬å p^s

ç

Kdj

_Êå

p

è¦çê6|

x ^`m m:[ Jyb

C…Ž   Ž4„$—*…ˆ…I‹Œ‰1.…—Ž0•‚‡)†.*…•$y†‘ •œ‡$‡n•…Ž4„y†ŽRŽ4„c…-…f˜@1.… &‹Œ‘7 § ‹Œ‘ŠŽ‚ ‹+•¥˜-‡ †.Ž

‹ )c—1†‘¡

? ø 7 j ç

pdø ü

å

Ž4„c…-…f˜@1.… &‹Œ‘7

Œ ? j < L ä

x:ø @

ê ø ˆ ?

ˆ ò j < L % ä

x:ø @

ê



” < L ä

x:ø @

ê

‹Œ•#*˜‡)†.Ž+

‹‹ )c—1†‘¡

A¦

p Ža„Š…-…f˜ 1…0 ‹‘&

Œ ? j < 8 ä

x:ø @

ê ø ˆ ?

ˆ ò j < L ä x>ø @

ê



” ¤

äNå x>ø

ç

ø

ê

‹Œ•#*˜‡)†.Ž+

‹Œ‹‹ ƒC„c…1§4‰Œ‰/©¨‹Œ‘7X‘cŽ4‹‘Šœœ•I…f˜@1.… &‹Œ‘7–„c‰•

Œ ? j < 7 ä

x:ø @

ê ø ˆ ?

ˆ ò j < 7 ä x>ø @

ê



” ¤ ä

x:ø @ å

%ø

ç$

% ê

' (,)

ì

jLmM:T

YÿYNQ t6LNT

b

j%ë

Q-YN[´Q t6T

Þàã

ëM>K4L‘ë

Q0R¼Q

Kdj u ã ë Q K

K4j

_ Y L cNb

j:ß

YNbd\

WeLNT

b j Y‘b4Þ

LNM

Q-[:cmb

u

\lQR äp |p êá äp |Xê K4j

_ ë Q

Y

LmKSL

Qÿ[:cNQ t6T

Y¬Q \zã LNM

Q_

Tzí

QcmQ jXL

cNQ^Y W \L

YPb4Þ LmM:T

Y[

K

[´Qc^|

GFu8t

D"!; |=x|A‡;€~

p

Q_eQd j Q K

dµcmY Lj

b

LmT

b j bdÞ

ë Q K

oY¬bv\

W:LNT

b j Y |

# ^%$ LU6M*UOL#W)bBJ

C…Ž

6 ¦

x7 B

j 6

8 ü P ñ B j ; ?

‹U…‘ &T… •†ˆ¡&Ž4„y†Ž('

ñ

Œ)–‹+•T† ©¨…ˆ†* •‰Uœ$Ža‹3‘ §

ä p |p ê Ÿ ä p |Xê

‘

å

x>ø

å

'lx,+- 

ü

$5‹Œ§

. †‘ ñ •f†Ž4‹Œ•`§Œ¡

ó 6

8 j < 8 ä

x:ø @ P ê0/

< 7 123

ä

x:ø @l

ê4/

¤ B

äNå x>ø

å

@l

þ

45 %

6 ê ø

ñ j < 8 ä

x:ø @;

?

ê4/

< 7 123

ä

x:ø @;87

ê9/

¤ B

ä¬å x:ø

å@ ; ? ê

.

§©0…1‰/…Ž

ö ÷

ó)úû

ñüý þäñ ê ‹‘ k þ äç

x:ø

å@ : ê ø ä |p ê

Ža„c…‘

ö

•†$Ža‹+•Š…•

ö j < 7

123

ä

x:ø @;

? ê

.

–…„y†…-Ž4„c…‹Œ‘$‹4Ž4‹+†‰¨‘‹UŽa‹3‘5•

äx

ê5÷

B øF†‘3 ñ äx

ê5÷

ñCB@

.

)c—1†‘¡:* ‹‘;l

ˆ

ˆ ò ä ø*

ê ü - ä ø ø+*

ê ü . /

hä

ñ

ê0%ä

êRY%ä

*

ê‡÷

ó . / ä*

õ0öê ñ ‹Œ‘

k þ äç x:ø

åê ä | ê

.

)c—1†‘¡

< ‹‘ ; ? ˆ

ˆ ò äñ ø < ê ü ./

ôaä

ñ

ê¬õö õ < ó

.7/

ä

õ < ê ñ ÷ x ‹Œ‘

k þ äàç

x>ø

åê ä |r ê

p Q K

\VY¬b¼_eQd j Q

LNM

Q j b LNT

b j b4Þ,Y

L

cmb j:ß

Y¬bv\

W:LNT

b j Y |

# ^%$ LU6M*UOL#W)bW

‹U…f‘

6 ¦

x7 B

j 68 ü l ñCB

j ; 7

©¨…#•f†ˆ¡“Ža„c†Ž

ä ø ñ ê

‹Œ•1† •Ža—*‘& •‰Uœ$Ž4‹/‘;§

äp |p êŸ ä p |vê

‘

å

x:ø

å

$‹§ ä øñ ê

‹Œ•

†N©¨…ˆ†*T•‰Uœ$Ž4‹/‘A‘

å

x:ø

å

'lx,+ … ü 1†‘ ‹§C§žœ—Ža„c…—`˜T—*…©¨…„y†…

ó

&6

8 j < 8 ä

x>ø @fl

ê"/

< 7 123

ä

x:ø @l

7

ê4/

¤ B

ä¬å x:ø

å

@fl

ê ø

ñ j < 8 ä

x:ø @;

7

ê"/

< 7123

ä

x>ø @ ;

ê"/

¤ B

äNå x>ø

å

@;

7 ê

ƒ^`m [N0]W2b J

ƒC„c…§žœ‘)Ža‹3‘y•§

P 7 ä : ê

1.…‹‘7A*‘ŠŽa‹Œ‘Šœ.œ•1‘ :c†‘¡N•Ža—*‘7–•‰Uœ$Ža‹3‘ ñ ‹+•#‘cŽ4‹‘Šœœ•1‘

å

x:ø

å@ :

ì

jLmM

Q_eQ ß Q j

Q c K4L

Q

tK

YNQ gSë

Q K

\l\zb

ë ý L b u

QY Tzj:ßvW

\K c KSL2LNM

QP[´b TljvL

Y

ëM

QcmQ]ô kSK4j>T

YM Q Y |

yPMµKSL

Y

LNM

QPcmQ

K

Y¬b jëM

ã

LNM

Q

_eQed j:TzLNT

b j |

p!tK4ju

Q T cmcmQ\lQ

kSK4jXL)K4j

_YNb geT

Þ ë Q!b

j

\zã

T

R¼[µbXY¬Q LmM>KSL

ô ý þþ Y LmK

ã u b W:j

_eQ _ g>ë

Q

M>K¦k

Q

Kdj

b

LmM

Qc)_:Qd j:TzLNT

b j

b4Þ ë Q K

ŸYNbd\

WeLmT

b j Y geë

Q K dQ c

LmM>K4j

_eQed j:TzLNT

b j |p |

#

^%$ LU6M*UOL#W)bg

C…Ž

6 ¦

x7 B

j 6

8 ü P ñCB

j ; ?

‹U…‘ –…1•†ˆ¡ Ž4„y†Ž'ñ +)I‹Œ•R†T©¨…ˆ†* •f‰4œ5Ža‹3‘$‹Œ‘ †T©¨…ˆ†*…f—W•f…‘5•f…Ža„c†‘ Ž4„c…¥‘c…

§ .… $‘$‹UŽa‹3‘& Fy§

ä p |p êŸ ä p |Xê

‘

å

x>ø

å

'lx,+  ü $5‹Œ§

. †‘ ñ •f†Ž4‹Œ•`§Œ¡

ó

76

8 j < 8 ä

x:ø @ P ê0/

< 7 123

ä

x:ø @l

ê4/

¤ B

äNå x>ø

å

@l

þ

45 %

6 ê ø

ñ j < 8 ä

x>ø @ ; ?

ê4/

< 7 123

ä

x:ø @;

7

ê4/

¤ B

ä¬å x:ø

å

@;

% ê

.

–…„y†…-Ž4„c…‹Œ‘$‹4Ž4‹+†‰¨‘‹UŽa‹3‘5•

äx

êE÷

B

†‘

ñ äx

êE÷

ñ B

.

)c—1†‘¡:* ‹‘;l

ˆ

ˆ ò ä ø*

ê ü - ä ø ø+*

ê ü . /

hä

ñ

ê0%ä

êRY@ ä* ê]÷

ó)ú

. / ä* õ ñ ê û ñ ‹‘ k þ äç

x:ø

åê ø ä |w ê

.

)c—1†‘¡

< ‹‘;l 7

ˆ

ˆ ò äñ ø < ê ü ú . / û ñ _ Tlk

ä«ôaä

ñ

ê¬õ

< ê ü . /

ôoä ñ êý

þ®þ

äñ ê¬õ

ñ õ < ó . / ä

õ < êñ ÷ x7‹Œ‘

k þ äàç

x>ø

åê ä |s ê

ƒ^`m [N0]W2bW

‘ Ž4„$‹Œ•“©0…*†* §4—˜Tœ‰/†Ž4‹/‘ Ža„c…=„c…f˜ ‹4f†‰ ‡n.Ž‚…‘ŠŽa‹/†‰

ö

…*•–‘cŽ7†‡$‡C…ˆ†—X†‘¡«˜T—… ‘ ‡)†—Ža‹4œ‰/†— I‹Œ‘

ä |w ê

©¨…

—*…‡Š‰/†.*…0

öõ

ñ 1ˆ¡

ó)ú2û

ñ õ ñ ‹Œ‘ZŽa„c…—‹„ŠŽC˜T…˜ 1…f— 1.…f†œ•f…Ž4„c…Ž‚…f—˜ ý!þ

äñ êNõ

ñ ‹+•-Ža„c…B—f†7‹/…‘ŠŽ0§ ý äñ ê

†‘ f†‘

1…‘y•!‹.…f—*…0–†•I†¥‡)†—Žw§wŽa„Š…W‡Š—…*•`•œ—*…B—†‹3…f‘ŠŽ+

GFu4G

xe9x„DSzÛD";sx Asxy)D 8:D{~.H€}Dx~

E

K4L

Q c b jg:LNM

QÞ W:j>t6LNT

b j Yô

ø K

cNQY

W

[>[µbXY¬Q^_

L b u Q gHKSL

\lQ K Y

L^g

\lb tK

\z\lã

E T [µY

tM:TzL > b jn’

| p Q K

\VYNbŸY

W

[>[µbXY¬Q

LmM>KSL‘LNM

Q cNQ

Q

feT

YL Y ? ø 7 ¦ x Y

W>tMaLNMµKSL

?  hä65Hê

 7 ø v 5 j ’

W)bW)bBJ OLŠQ^^`L^ N[M*^4TA[_V^

p

QY

W

[>[µbXY¬Q

M

Q cNQ LNMµKSL

ô ? ø ô 7 ¦

x>ø

ô ? 

ôaä65´ê

 ô 7 ø v 5 j ’ ä |ævê

J

bvcNQ b

k

Qc

ë

QÿY

W

[:[´bvYNQ LNM>K4LLNM

QÿÞ W>j>t¨LmT

b j ý Y

KSLNT

Y8d>Q Y

ý T

YPb4Þ

¤ 7 t \K

YmY g:Kdj

_ ý G x>ø

ä |é ê

ý ? ø ý 7 ¦ x Y

W>tM‹LmM>KSL Ký þ

ä65Hê

K ý ? K5 KL üý

7

øKý þþ

ä65Hê

K ý ? K5 KL

>2? üý

7 ø v 5 j

’]ø

ëM

QcmQ p

 rT

Þvˆ-÷

r¹Kdj

_

p‘

+

ü

T

Þvˆ÷

ä |èvê

v

j

’]ø ý 7 ä

êW¦

x:ø ý ä ê

Gqx

Y

W>tMaLNM>K4L g

äB5

ó ê ý þ

ä65Hê

G ý 7 ä êý

äB5´ê

ó ý ä ê ø v 5 j

’]ø

ä |vê

ý

Gqx

Y

WµtMoLmM>KSL ý þþ

ä65´ê

G ó

ý

ø v 5 j ’ ä |

p x

ê

ƒ^`m [N0]W2bg

.

C…ŽWœ•1…˜‡Š„y†•`‹…Ža„y†$Ž! Ž4„c… ‡Š„¡5•!‹4f†‰

Ÿ

—…‰/…*†‘ŠŽ §žœ‘2Ž4‹/‘5• ý †—…#†‰U©¨†ˆ¡$• 1.œ‘…0 §/—˜ 1…f‰3© †‘ •–©0…f†‘

•ˆœ‡5‡C•f… ý Gùx21…f†$œ•…†7&‹Œ‘7T†T‘y•ˆŽ‚†‘ŠŽWŽ‚ ý …*•W‘c.ŽW„c†‘7$…-Ž4„c…-…›œ†$Ža‹3‘5•0

.

ƒC„c…1†•`•œ˜‡nŽ4‹/‘

ä |Xê

‹+•W•†$Ža‹+•Š…0§4—1…£5†˜‡Š‰3… 1ˆ¡ †‘¡;*‘Š…f£ §žœ‘2Ž4‹/‘“©¨‹UŽa„ ý 7 ä

ê5÷

p-†‘3 ý ä

êE÷

ý ä ê

1œ$Ž ©0…N—…˜7‹Œ‘ Ža„c†Ž ©0…X†—*…–‹Œ‘ŠŽ‚…—…*•ˆŽž…0=‹‘ §žœ‘)Ža‹3‘y•A©¨‹4Ž4„ ..œ 1‰/…

Ÿ

©0…f‰Œ‰1•Ža—œŽ`œ—… ©¨„$‹4„ †—*…T‘c.Ž *‘Š…f£

#…f‘)…0)Ž4„$‹+•1†••ˆœ˜-‡¨Ža‹3‘ ˜Tœ•ŽB1.…#•…ˆ…‘X†•I† …‘c…f—†‰Œ‹†Ž4‹/‘ §¨†T‘Š…£‹4ŽŒ¡7‡2—ˆ‡C…—ŽŒ¡7

.

•0†‘–…£5†˜-‡2‰/… ‡C‰¡$‘c˜7‹/†‰§žœ‘2Ž4‹/‘5•w§2……‘ —$…f—n§4—

ˆ÷

.—§2— .…f—2w¥§4—

ˆ÷

r7$©¨‹UŽa„ •Ža—‹aŽa‰ ¡¥‡C•!‹UŽa‹U…

.˜ ‹Œ‘y†‘ŠŽ¨*… `‹3…f‘ŠŽ0†‘ 1…¥œ•…0 †•†§žœ‘2Ža‹3‘

ý

RƒC„c…¨†„$‘

Ÿ

I‹Œ‰Œ‰‹/†— …›œ†$Ža‹3‘ ‹+•W§žŽ‚…‘T•ˆŽ`œ7‹3…0T©¨‹UŽa„ •ˆœ$„

‡C‰¡$‘c˜7‹/†‰2‘Š‘$‰Œ‹‘Š…*†—‹UŽa‹3…• '

l^`ONP^`m W)bBJ¢zUB_*M*^`LTA^nO1ia O [a ^`[7]_*O1aBRSM*UOL_

‹U…f‘

6 ¦

x:ø B j 68 ü P ø ñ B j ; ?

Š‹Œ§

ô

•†$Ža‹+•Š…•

ä |æXê

†‘ ý •f†Ž4‹Œ•+c…•

ä |é ê Ÿ ä | p^x

ê

Ž4„c…f‘¢Ž4„c…f—*…-…£‹+•ˆŽU•†‰/&1†‰

©0…*†*N•f‰4œ$Ž4‹/‘

ä ø ñ ê

Ž‚

äp |p ê Ÿ äp |vê

‹Œ‘“Ž4„c…#•…f‘5•…-§ .…$‘5‹4Ž4‹/‘

{:W

c

LmM

QcmR¼bdcmQ g„Tzj

bvcm_eQ c

L

b¹[:cmb k Q K

cNQ^Y W \

L)t

b

j>t

Q c j:Tlj:ß

Y L cNb

j:ß

Y¬bv\

W:LNT

b j Y ë QÿR

W Y L YW

[:[µbXY¬Q

ô

Kdj

_ K

cNQb4Þ

¤ ? á£t

\K YmY

K4j

_‹ô þg þ K

cNQ u b

W:j

_:Q _‹b j4’ÿø

ä | pdp

ê

ý T

YPb4Þ

¤ 7 á£t

\K YmY

Kdj

_ ý

¦

x>ø K ý!þþþ

ä65Hê K

ý

ä p ü K5 K ê øv

5 j

’‡ø

ä |p ê

ëM

Q cNQ

+ r-T

Þ ˆ÷

r¼K4j

_

+ ü T

Þvˆ÷

|

l^`ONP^`m W)bW z+MeNPO1L _VOa R{MVUBO1LS_

‹U…f‘

6 ¦

x>ø B

j 68 ü l ñCB

j ; 7

5‹Œ§

ô

•f†Ž4‹Œ•+c…•

ä |æXê ä |

pdp

ê

y†‘ ý •†$Ža‹+•c…*•

ä |é ê Ÿ ä | p x

ê

†‘

ä |p ê )Ža„c…‘

.

§

ˆ÷

Ž4„c…f—*…¥…£‹+•ˆŽU•I† œ‘$‹4›.œ.…‰/&1†‰)•Ža—*‘& •‰Uœ$Ža‹3‘;§

ä p |p êŸ ä p |Xê

‘4’

.

§

ˆ÷

r7 Ž4„c…f—*…¥…£‹+•ˆŽU• B ä B ø 6 ø ñ B ê ¦ x †‘–† œ‘$‹4›œ…•ˆŽ4—‘7–•f‰4œ$Ž4‹/‘A§

äp |p ê Ÿä p |vê

‘

å

x>ø B å

W)bW)bW # ^1^`LS^ NP[M*^ T [_V^

yPM

QÿY TzLNWµKSLNT

b

joT

YPYN\

TlßdMXL

\lã¹_

Tzí

Q cNQ jvLK4j

_ ë Q

ëT

\z\´Þàbd\l\lb

ë å4ç‰|,Z Y ë Q

ëT

\l\HYNQQ gvë

Q K cmQ

ß b Tzj>ß!L

b¼Y M b

ëqLNM>K4L]T

Þ

LNM

Q

Tlj:TzLNTVK

\

_

K4LmK ñ B

LK

vQ Y TzL

Y

k¦K

\W Q Y

Tlj

åó pdø p

ç

LmM

Q j Þàbvc

K

\lR¼bvY L Q k

Qcmã LmT

R¼Q g ñ äò ê

M>K

Y

LNM

Q-Y

K

R-Q0[:cNbv[µQ c

L

ãv|

yPMµKSL

Y

LNM

QcmQ

K

Y¬b

j

ëM

ã ë QÿY

W

[:[´bvYNQ LNMµKSL

ô TY K

[´bvY TzLNTlk

QÞ W:j>t6LNT

b j b4Þ

¤ ? á£t

\K YmYP_eQd

j

Q _‹b j åó

pdøp

ç

K4j

_Y

W>tMoLmM>KSL

5 j åó

pvøp

ç

Kdj

_ôoäB5´êE÷

x

5 j Œ ó

pdø p ä |

p r

ê

{

bvc LQ

tM:j:TVtK

\hcmQ

K

Y¬b j Y ë

QÿQ fXL

Q j _ô

L b ’

\lQ L¬LmTzj>ß

ôoä65HêE÷

xT

Þ K5 K ¦ p

|,ì joLmM

QY

K

R¼Q ë]K

ã ë Q!Y

W

[:[µbXY¬Q LmM>KSL

ý ÷ ý ? ü ý 7 ø

ëM

Q cNQ ý ? TY

K t

b

j„k

Q f Þ W:jµt¨LNT

b j _eQd

j

Q _b j çó

pdø p

åg bdÞ

¤ 7 á£t

\K YmYFY

W>tM!LmM>KSL2LNM

Q‡[:cmb„_

W>t¨L

ô ý þþ

? TY t b jvLmTzj„W

b W YFb

j åó pdøp

çg

K4j

_ ý 7 K Þ

W:j>t¨LmT

b j b4Þ

¤ 7 á£t

\K YmY"b

j åó pdø p

ç–|

p

QQ f„L

Q j _ ý 7 L b u Q K Þ

W:j>t6LNT

b j b4Þ

¤ 7 á£t

\K YmY2b

jŽ’ëTzLNM

M

ý!þþ

7

M# "

 ý B |

p Q K

\VY¬b¼Y

W

[:[µbXY¬Q LmM>KSL

ý þþ

? TY j b jeá

_eQ

t

cmQ K Y

Tlj:ßj

Q K cF5‹÷

pK4j

_ j b jeá‰Tlj>t

cNQ K Y

Tzj:ß-j

Q K cF5‹÷

ó p | ä |

pw

ê

{2TzjµK

\l\zã ë Q

ëT

\z\

u Q K4u

\zQ

L

b¹_eQ c Tlk

Q!YNbdR¼QÿQ Y LNT

R

KSL

Q^Y geW

Y

Tlj:ß¼LNM

QÿÞ W:j>t¨LmT

b

j

_eQed

j

Q^_ab j ç ó

pvøp

å u ã

äx

ê5÷

x:ø þäx

êE÷

x>ø þ®þ

ä65HêE÷ôoä65Hê

>)?Sø v 5 j ç ó pdø p

å

p Q

tK4j‹j

b ë Y

LKSL

Q

LmM

QÿÞàbd\l\lb ëTzj:ß

cmQ Y W \L b

jaLmM

Q!Q feT

YL Q j>t

Qÿb4Þ ë Q K

ŸYNbd\

WeLNT

b j Y Tlj‹LNM

Q_:Q ß Q j

Qc KSL

Q

t K

YNQd|

l^`ONP^`m W)bg

‘3.…f—†••œ˜‡nŽa‹3‘5•

ä |ævê ä |

p r

êŸ ä | pw

ê

)§4—-†‘¡2‹U…‘ x(+ +

ü

6 ¦

x7 B

j 6

8 ü P

†‘

ñ B j ; ? •ˆœ$„

Ža„c†Ž1K

ñ B K8  p†‘

./

; ý ä ñCB

ê ü ä

ñCB

ê< + ü ø ä |

p^s

ê

Ža„Š…f—*…#…f£‹Œ•Ž4•1†N©0…*† –•f‰4œ$Ž4‹/‘A§

äp |p ê Ÿä p |vê

‘

å

x:ø

å

‹Œ‘=Ža„c…#•…f‘y•f…¥§ .… $‘$‹UŽa‹3‘&T©¨„$‹a„X•f†Ža‹+•+c…•

Kñ äò ø

5´ê

K p#§4—1†‰Œ˜T•Ž0……—¡

äò ø 5´ê j ç

x>ø

å@ :

“—……f— .‹§ ©¨…•œ‡$‡n•…

ô þä p ê5÷

x †‘3

ô þäó p ê,÷

x7)Ža„Š…f‘X§4—†‰˜T•ˆŽ0……f—!¡ ò j å

x:ø

å

Ža„c…•…Ž

Π5 j

:øK ñ äò ø

5Hê K ÷

p

„y†• …f—*˜T…*†•œ—*…F

ƒ^`m [N0]W2b('

§ ô þäó p

ê÷

x†‘

ô þ äp ê÷

x Ž4„c…f‘N‘c…1f†‘ •f……Ža„y†$Ž ‹+• 1.œ‘.…0‘

åó pdø p

ç

†‘ Ža„y†$Ž!$†•

ô

ý!þþ ‹Œ•w•ˆœ‡5‡C•f…

Ž‚ 1.… 1.œ‘.… &5Ž4„c…w§žœ‘2Ž4‹/‘ ý ‹Œ•¨†‰+• 1.œ‘…0 ‘NŽ4„y†Ž f†•f… ä |

p¦s

ê

‹+•n•†$Ža‹+•Š…0§4—w……—¡‹Œ‘$‹UŽa‹/†‰ †Ž‚†&WƒC„y†Ž

‹Œ•¨§4— …£5†˜-‡2‰/…Ž4„c…1f†•f…‹Œ§n©¨…Ž‚†*.…

ôaä65´ê‡÷

p ó 5 7

†‘3 ý

äB5´êE÷

ó E 5 7 ü ä p ü 5Hê„\zb

ß äp ü

5´ê ü äp ó

5´ê„\lb ß ä p ó

5Hê

‘“†‰Œ‰¨Ža„c…—†•…•$CŽ4„c…7*‘‹4Ž4‹/‘

ä | p¦s

ê

‹+•‘c.ŽŽa—‹4‹/†‰¨†‘T‹Œ˜‡C•f…*•Ž4„y†Ž ñCB ˜Nœ•Ž1…-§a†—-…‘c.œF„A§/—˜ Ža„c…

`—‹4Ž4‹a†‰W*†‰Uœ…•

ó p †‘Bp

‘Z‹˜‡n—ŽU†‘ŠŽ#f†•f… ©¨„c…f—*…TŽa„$‹+•7‘‹UŽa‹3‘“‹Œ•¥§žœ‰($‰Œ‰/… A‹Œ•7Ža„Š… ‘c…–©¨„c…f—*…–©¨…„y†…

KñCB K8

+p

*–…#©¨†‘ŠŽ¨ŽžW‡C‹‘ŠŽCœ$Ž0Ža„Š… ‹˜‡n—ŽU†‘2…R§CŽ4„c…

< 8 Ÿ

…*•ˆŽ4‹˜–†Žž…R71Ž‚†‹Œ‘c…0‹Œ‘AŽa„5‹Œ•1Ža„c…—*…f˜ 1…†œ•…0‹‘T†R‡2„¡5•`‹a†‰

‡C‹‘ŠŽw§ ‹/…©c‘$‰ ¡ZŽ4„c…*†‰Uœ…•1§ ñ 1…Žž©0…ˆ…‘

ó

p-†‘p-†—…1˜T…*†‘$‹Œ‘7§žœ‰

§ ô

‹+• .……‘c…f—†Ž4‹‘7N…‘c.œF„ Ž4„c…f‘

ä | p¦s

ê

‹Œ˜‡Š‰‹3…•Ža„y†$Ž

Π5

øK ñ äò ø

5´ê K ÷

p„c†• …f—*˜T…ˆ†•œ—…1§4—

ò ÷

x&c†‘3

Ža„c…‘ZŽ4„c…‰/†•Ž2‡n‹Œ‘ŠŽ§ Ža„c…Ž4„c…ˆ—…˜š…f‘y•ˆœ—*…•¥Ž4„y†Ž¨‹UŽ¨‹+•I•ˆŽ4‹‰Œ‰0Ž4—œ…1§4—1†‰Œ˜–•ˆŽw……f—!¡“Ž4‹˜T…F ‘;†-‡Š„¡5•`‹a†‰$‡C‹‘ŠŽ

§n‹/…© ©0…f†‘–•†ˆ¡XŽa„y†$Ž)‹Œ§CŽ4„c…W‹Œ‘$‹UŽa‹/†‰c•ˆŽ‚†Ž‚… ..…•0‘Š.Ž¨*‘ŠŽU†‹‘–†‘¡‡nœ—*…¨‡Š„y†•f…W†—…ˆ†yŽ4„c…f‘AŽ4„c…I†‰‰3*¡N©¨‹Œ‰‰c‘c……f—

‘ŠŽ‚†‹Œ‘ †‘¡ ‡¨œ—…W‡2„y†•…#†—*…*†&

W)bW)bg kR[aBUBM*[MVU1^ s^`lS[UBON

ì–Þ

ë

Q!b

j

\lã t b j Y T

_eQc LmM

Q¼î

KdM:jeá£ï)T

\z\

TVK

c_aQ UXW>KSLmT

b

jFg

YNbdR¼QcmQ Y W \L Y K

cNQ j b ëjW

[´b j%LNM

Q K Y¬ã„R¼[

L b LNTVt!u

Q

M>K¦k„T

bdc)bdÞ LNM

Q

YNbd\

WeLNT

b j Y |

yPM

Q!Q feT

YL Q j>t

Qÿb4Þ K E ã K [

W:j

b k Þ W:jµt¨LNT

b

jKdj

_obdÞ K-ß

\zb u>K

\

K4L¬L

c

Kdt6L

bvc

T

YY M b

ëjaTlj

åé ç K4j

_Bå

p

¦ç–|

ì j YN[

Kvt

Q¹_

T

R-Q j Y Tb j

ˆ÷

pdg

YNQ

k

Q c

K

\2Y LNW

_ T Q^Y¹ä¬å

w ç g ås

çàê t b

j>t

Qc j%LmM

Q¹Y LKSLNT

b

jµK

cmãYNbd\

WeLmT

b j Y

ëM:TltMBK

cmQ-R Tlj:T

R K bdÞ

LNM

QÿÞàcNQ QQ

j

Qc ß ã

ßdTlk

Q

j‹u

ã äñ

ê‡÷

./

; ú Kõ ñ K7 üý

äñ êD<

ì

j%LmM:T

Y

t K

YNQ g´LNM

Q-\

Tzj

Q K cÿY

LK4u:T

\

TnL

ãb4Þ LmM

bvYNQYNbd\

WeLmT

b j Y TY Tzj„k

Q Y LNTlßvKSL

Q _ Tlj

åw ç–|

yPM

QãY

M b ë LNM>K4L

Þàbvc

K

R-Q K4j

d f Q^_

g

LNM

Q YNQY¬bv\

WeLmT

b j Y K cmQ

Tê LNM

Q t b j Y LmKdjvL

YNbd\

WeLNT

b

j‹ëM:TVtM‹T

Y\lb tK

\l\lã¹\

Tlj

Q K cN\lãoY

LmKdu

\zQ

g

TzT

ê

Ku

b

W>j

_ K cmãŸ\

K

ãdQ c]YNbd\

WeLNT

b

jëM:TVtM‹T

Y\

Tlj

Q K cN\lã

W:j

Y

LmKdu

\zQ

g

TlTzT

ê

K0L

c

Kdj

Y

TnLmT

b j \K ãdQ cPYNbd\

WeLmT

b

jaëM:TVtM‹T

Y ß

\zb u>K

\l\lãŸY LK4u

\lQd|

yPM

Q j Q f„LÿLNM

QbdcmQR*_eQ

K

\VY

ëTnLmM LmM

Q[´b TljXL!T

ê6|

yPM

Q¼Y¬bv\

WeLmT

b j Y TzT

ê

K4j

_

TzTlT

ê K cNQ-Y¬[´Q

tT

d

tL

b

LmM

Q¼b j Q á_ T

R¼Q j Y Tb

j>K

\

tK

Y¬Q

K4j

_

LNM

QY LmW

_eã Kdu

b k Q)_eb

j b L]K

\z\lb ë K4j

ã t b j>t

\W Y Tb jŸKdu

b

WeLELmM:T

Y Tlj

_¹b4Þ j b

jot

b j Y LmKdjvL

Y

LKSLNT

b

jµK

cmã-YNbd\

WeLNT

b j Y|

k Q j¹T

Þ

YNbdR¼Q Y LmKSLmT

b

j>K

cmãYNbd\

WeLmT

b j Y K cNQ#

j b

ëj¹Tlj¹M:TlßdM

Q c‡_

T

R¼Q j Y Tb j

Yä¬å

p ç g å

çg å r çàê

g„ë

Q _eb

j b L j b ë Kdj

ã¼Y LmK4u>T

\

TnL

ã-cmQ Y W \L

K4u

b

W:LLNM

Q R‹|

J

bvcNQ b

k

Qc g b j Q

tKdj

Y¬Q Q LNM>K4L‡T

Þ ë Q t b j Y T _eQc

LNM

Q!î K4M:j:á–ï T

\l\

TVK

c_-Q UXW>K4LNT

b

j¹ëTzLNMoK

Y W [:[>\zQ R-Q

jXLmK

cmã L c

K4j

YN[µbvc LEL

QcmR

õ ñ ëTzLNM äò ø

5´ê]cmQ ßvW

\K c K4j

_-d

f

Q _ g„LNM

Q![:cmQ k„T

b W YPcmQ Y

W \L Y Tlj

_ T R¼Q

j Y Tb j

ˆ÷

p

_eb„Q Y j b L Y

W:u

Y TY L |

p TzLNM

b W c t bvR-[>\zQ

L

Q¹R¼be_eQ\ä

p |p êá ä p |vê g2ë

Q K cmQ

K4u

\lQ

L

b%Y M b

ëÛLNM

QoY LmKdu:T

\

TzL

ã bdÞ LmM

QoY LmKSLmT

b

j>K

cmã YNbd\

WeLNT

b

jBëM

Q cNQ

ñ TY

Kt

b j Y

LmK4jXL)g2K4j

_ ÷ 6

8

W:j

_eQ c LNM

Q t b j _ TnLmT

b j Y LmM>KSL

6 T

Y0Y¬R

K

\l\5Q j b

W:ßvMÊKdj

_

LNM>K4L!LNM

Q¹R¼Q K4j

\T Q^Y

TljBK

R¼Q LK

Y

LmK4u

\zQÿcmQ ßdT

b j b4Þ

ý

äNå w çg å

pdp

çê LmM>KSL)T

Y L b¹Y

K ã TÞ ý TY t b j„k

Q

fŸj

Q K c |

l^`ONP^`m W)b'

C…Ž7†‘N*‡n…f‘T‹‘ŠŽ‚…—*†‰Š§’ †‘

j ‹U…f‘ T…W•œ‡$‡n•…¥Ža„c†Ž

ô

‹Œ• †¥‘c‘

Ÿ

‘c….†$Ža‹U…§žœ‘2Ža‹3‘ § ¤ ? Ÿ

`‰/†••.… $‘c…0

‘&

ý

‹Œ• † §žœ‘2Ž4‹/‘«§¤

7 Ÿ

`‰/†•• …$‘c… ‘ ƒC„c…f‘§4—

6 ¦

xZ•`˜ †‰‰I…f‘Š.œF„1Ža„Š…–•ŽU†$Ža‹3‘y†—¡¢•f‰4œ5Ža‹3‘«§

ä p |p ê Ÿ äp |Xê

‹4…f‘ 1*¡

ñ 8 ÷

«†‘

6

8

.… $‘c… 21ˆ¡

äp | p¦s

ê

‹Œ•†•¡˜‡nŽž.Ž4‹a†‰Œ‰¡N•ŽU† 1‰/…œ‘.…f—-Ž4„c…‘‹UŽa‹3‘5•

ôoä

ê ¦

x:ø

ä |p ævê

ý þþ

ä65´ê

G x7§4—†‘¡

5 ‹‘;†7‘c…‹„51—„c.& § ä |

p¦é

ê

“—…‡Š—*…`‹+•…f‰ ¡ $§4—1†‘¡

¦

xXŽa„c…—…¥…£‹+•ˆŽU•

¦ x •œ„=Ža„y†$Ž¨§4—1†‘¡

6 ¦

x7 B

j 68 ü l ñCB

j ; 7

•f†Ž4‹Œ•`§Œ¡$‹‘&

A äñ B

êE÷

)øK

6

K`5ø

M B M ?

5ø

M ñ B ó A äñ B

êˆM

7

5ø

Ža„Š…f—*…-…£‹Œ•Ž4•†Tœ‘$‹a›œ… ‰371†‰)•ˆŽ4—‘7–•f‰4œ$Ž4‹/‘ ‘ ’ §WŽa„c…W‡Š—*71‰/…˜

ä p |p ê Ÿ äp |Xê

‹Œ‘ Ža„Š…¥•f…‘5•…#§ .…$‘5‹4Ž4‹/‘

•œ„“Ž4„y†Ž

M ó B

M$# " ü M ñ ó

ñCB

M$# " %

eø

†‘37‹Œ§ ‹Œ•R•`˜–†‰Œ‰C…f‘Š.œF„)©¨…1„y†…1†• ò ”

ü

ñ äò ê ó ” ñ 8

‹Œ‘ ; O

§4—†‘¡axŽ

= + ø

äò ê ó

&6

8 ó ”

x7‹‘;l

O

§4—1†‘¡‹x

= + p

ƒ^`m [N0]W2bb

–… ‡C‹‘ŠŽ).œ$ŽCŽa„c†ŽCŽa„$‹+• Ža„c…—*…f˜‹Œ•2‡Š—*… I‹‘@1.Ža„Tf†•…•

ˆ÷

†‘

ˆ÷

r†‘Ž4„y†ŽC©0…0†‰Œ‰3©

ô

Žž .……‘c…f—†Žž…

§a†—w§/—*˜ †‘

ý

Ž‚ 1.…#‘5‰¡2.… $‘c…0‹‘X†¥‘c…f‹„1—„c.&7§ #…‘2… ŠŽ4„$‹+•Ž4„c…ˆ—…˜ ‹Œ˜‡Š—*…•1Ža„c…—*…f˜ •

†‘ &1…f†$œ•…©¨…©0…f—*…‘c.ŽC†&1‰3…œ‘.…— $…f‘c…—f†‰5†••ˆœ˜‡nŽ4‹/‘5•RŽžW‡Š—…W…£‹Œ•Ž‚…‘2…1§‰371†‰5•ˆŽ4—‘7•f‰4œ5Ža‹3‘5•

‹‘ZŽa„c…Ž4—`‹‹Œ˜T…f‘5•`‹/‘y†‰n†•…¥—R‹Œ‘ZŽ4„c… .……f‘Š…f—†Ž‚…-f†•f…

* ƒC„$‹Œ•¥Ž4„c…ˆ—…˜ ‹+•R§4—…f£$†˜‡Š‰/…#†‡$‡Š‰Œ‹a†&1‰3…1‹§

ôaä65´ê‡÷ äp ó

517^ê8C

ø E Gqx:ø

ˆ ý ä65´ê‡÷

p ó

57 ü:9;

äp ü 5Hê„\lb

ß ä p ü

5´ê

ü äp ó

5´êe\zb ß ä p ó

5Hê=<

ø

§4— ‹‘ ç ó

pdø

ó p ü

å

— ‹‘ çp ó ø p

å

§4—R† ¦

x•!˜–†‰Œ‰ …f‘cœF„ ƒC„y†$Ž ‹+•Ž‚-•f†ˆ¡;Ža„y†$ŽwŽ4„c…R„Š˜T0$…f‘c….œ• †‰Œ‰/*¡

‹Œ•R•ŽU† 1‰/…1‹Œ§¨‘c…-§Ža„c…*˜‡n‘c…‘cŽ¨‹+•0‡Š—*…0.˜ ‹‘y†‘ŠŽ+

C…ŽRœ•I•ˆœ‡$‡C•f…Ž4„y†Ž

ô

‹+•¥*‘5•ŽU†‘cŽ'! †‘3XŽ4„y†ŽRŽ4„c…7Ž4„c…ˆ—…Ža‹4f†‰¨Ž4„$‹4 ‘Š…••1§ Ža„c…#‹Œ‘ŠŽ‚…—`§a†…1‹Œ•I‘c.ŽRŽž

•!˜–†‰Œ‰)Ža„y†$Ž¨‹Œ•¥Žž7•†ˆ¡ ' ! Ža„y†$Ž¨§4—1†N*‘5•ŽU†‘cŽ¨¤ .…‡n…f‘‹‘7 ‘$‰ ¡A‘;:)©0…„y†…

ó ý þþ ä65Hê

 ú

¤øR§4—1†‘¡

5 j ä |p

èvê

ƒC„c…f‘C©¨‹4Ž4„;•ˆŽ4—f†‹„ŠŽa§4—©¨†— T˜‡nœ$ŽU†$Ža‹3‘5•$2‘c…f†‘ .…0yœ…#§/—*˜ Ža„c……•Ža‹Œ˜ †$Ž‚…*•‹U…‘X‹‘ Ž4„c…R‡Š—*.§0§WŽa„$‹+•

Ža„c…—*…f˜ 'Œ•…Ž4‹/‘ 7 7Ža„y†$Žw§4—

6 ¦

x7 ñ B

†‘

B

‹U…‘A‘c.Ž‘c…*…••†—`‹Œ‰¡;•`˜ †‰‰Š‹§† ‰371†‰ •Ža—*‘7N•‰Uœ$Ž4‹/‘

äñ ø ê

§ Ža„c…W‡2—&1‰/…˜š…£‹+•ˆŽU•'‹Œ§

ˆ¼÷

§4—…£5†˜‡Š‰3… )©¨…1„y†…

ñ äò ê ó A äñ B ê ”

x‹Œ‘ ; O

§4—1†‘¡‹x

= +

–…©¨†‘ŠŽ Ž‚ …f˜‡Š„c†•`‹…Ž4„y†ŽR©0…,.‘c.Ž0•œ‡$‡n•…Ža„y†$Ž A äñ B ê

‰Œ‹/…*•W‹‘;†˜T…Ž‚†•ŽU†&1‰/…—*… ‹/‘X§ ý

))œ—Ža„c…—`˜T—… .‹Œ§ ©¨…•œ‡$‡n•…Ža„y†$Ž

6  ¤ 7 ø

©¨‹4Ž4„X¤ .…‡n…f‘3‹‘& ‘$‰ ¡A‘A:)Ža„c†Ž¨‹+•¥Ž‚•†ˆ¡ZŽa„y†$Ž Ž4„c……¡‘Š‰•W‘Šœ˜ 1…f—§wŽa„Š…c© ‹+•R•!˜–†‰‰)Ža„c…‘=©¨…#†‰+•

„y†…

äòê ó 76

8 ”

x7‹‘;l

O

§4—1†‘¡‹xŽ

= + p

‘ Ža„y†$ŽIf†•f… ©0…#„y†…¥†X›.œ†‘ŠŽa‹UŽU†$Ža‹U……*•ˆŽ4‹˜–†Žž…‘ Ž4„c…-•`˜–†‰Œ‰‘Š…••§WŽa„Š…-•`„c…*†—…‰/$`‹UŽŒ¡Z©0…#˜Nœ•ˆŽ‹˜‡n•…7Ž‚

‘ŠŽ4—‰CŽ4„c…1…f„y†‹3—1§ Ža„c…Š©B

ÚÛ(,Ÿ0d@q$'/(,)

Fu8t

y D ; AE;Py)Asz A‚5D";)DFAwH ~&†!AwH ;J)98eC+<HA‡;1J€|Dx|AE; ~

Y j QbdÞ

LNM

Q vQã

á

[µb TzjXL

Y

TzjLmM

QÞàbv\z\lb ëTzj>ß

[:cNb„bdÞ«Y

TY Lb ß Q L c T

_b4Þ LNM

Q j b jeá–M

bvR-b ß Q j

Qb W Y u b

W:j

_ K cNã

t b j _ TzLNT

b j ä p |é ê|

p Q

ëT

\l\

W

YNQÞàbdc LNMµKSLLNM

QÿÞàbd\l\zb ëTlj:ß

\zQ R¼R

K

äNå

p

æSçàê u b

LNMTzj

_ T R¼Q

j Y Tb j

ˆ÷

bvc ˆ÷

r |

x

^`m m:[g)bJ

)c—1†‘¡

¦

x7)Ž4„c…f—*…-…£‹+•ˆŽU•I†7•!˜T..Ž4„N§žœ‘)Ža‹3‘

÷ ?ä

‰ ê

89 •œ„ZŽa„y†$Ž

?ä

p

ê,÷

p

?ä

ó p ê5÷

ó

p†‘

K

K8 ÷ pdøK

K‘ ¤ /

Fø

är |p ê

K- äg ø øg ê

K` ¤ / M g M 7?

§4—1†‘¡

g ‹‘Al5ø

är | ê

Kõ

K77 ÷ K

%ä

ê K77  ¤ / p ä p ü

ê

øK

û

K77  ¤ / p? 7 ä p ü 7 ê ø är |r ê

©¨„c…—…Ža„Š…‘y•ˆŽ‚†‘ŠŽ0¤

/

.…!‡C…‘•‘$‰ ¡;‘ZŽa„Š…-*‡n…f‘A•f…Ž0:

ƒ^`m [N0&g)b J

œ„;†§žœ‘2Ža‹3‘

‹+• ‹U…—$…f‘2*…

Ÿ

§/—……I†‘3 •f†Ž4‹Œ•+c…*•

ä

õ-ê

÷ x

Fu4G

AE; J D5D; DF8:9xeD <H9v~XD

ì

j‹LNM:T

Y)Y W:u

YNQ t6LNT

b

j‹ë

Q

ßdTlk

Q

LmM

Q![:cmbXbdÞ"bdÞ LNM

Q

LNM

Q bdcmQR

|p |

l^`ONP^`m

‹U…f‘

6 ¦

x:ø B

j 68 ü P ø

ñCB

j ; ?

Š‹Œ§

ô

•†$Ža‹+•Š…•

ä |æXê

†‘

ý

•f†Ž4‹Œ•+c…•

ä |é ê Ÿ ä | p^x

ê

Ž4„c…f‘¢Ž4„c…f—*…-…£‹+•ˆŽU•†‰/&1†‰

©0…*†*N•f‰4œ$Ž4‹/‘

ä ø ñ ê

Ž‚

äp |p ê Ÿ äp |vê

‹Œ‘“Ž4„c…#•…f‘5•…-§ .…$‘5‹4Ž4‹/‘

hNPOO1i

yPM

Q T _eQ

K

b4Þ LNM

Q![:cNb„bdÞ TY L b W

YNQ LNM

Q!\lQR¼R K¹r

|

p!K4j

_ L b¹\lQ

L^g

Þàbdc K-ßdTlk

Q

jg

÷ g ü 6

ø

YNb LNM>K4L‡LmM

Q u b W>j

_ K cmã

t b j _ TzLNT

b j

YEÞàbdc g K cNQ

M

bdR¼b ß Q j

Q b

W

Y | ï Q

j>t

Q

geK

YR6

ó g 68 j

l¹gXLNM

Q

LmM

QbvcNQ R ëT

\z\

u

Q [:cmb

k

Q^_

TÞ ë

Q!Y M b

ëLNM>K4L g

Þàbvc K Y

W:TzLmKdu

\lQ _eQ[´Q

j _ Tzj>ß

b j 6 geLNM

QcmQQ feT

YL Y!äg ø ñ

êPY

W>tMaLNM>K4L

g;j

< 8 ä’ @ P ê9/

< 7 123

ä’ @l

ê ø

ñ j < 8 ä’ @;

?

ê4/

< 7 123

ä’ @;

7 ê ø

ëM:TVtM

Y

KSLmT

Y¬Þàã LmM

Q

Tzj>TnLmTlK

\ t b j _ TzLNT

b

jFg

g äx ê,÷

B

ó 6

g B ø ñ äx

ê5÷

ñ B

ø:K4j

_

. Þàbdc K4j

ã * Tlj;l

ˆ

ˆ ò äg ø*

ê ü - äg ø g ø+*

ê ü . /

hä

ñ

ê äg êWY@%ä

* ê ü 6 - äg ø ø+*

ê ü 6 - ä øg

ø*

ê

ü 6

.7/

Hä

ñ

ê%ä

êWY@%ä

*

êE÷

ó . / ä*

õöê

ñ Tlj

k þä’

ê ø är |w ê

. Þàbdc K4j

ã < Tlj ; ?

ˆ

ˆ ò äñ ø < ê ü . / ôoä

ñ

êNõ0ö

õ < ó . / äg õ < ê ñ ó 6 . / ä

õ < êñ ÷ x Tlj

k þä’

ê ø är |s ê

ëM

Q cNQÿö TY K \

ëPK

ãeY ßvTzk

Q

j‹u

ã ä |p ê¨|

ì j bdc_eQ c

L

baY

M b ë LmM:T

Y‘\

K Y L

cNQ^Y W \

L ë

Q W YNQ

KÿK

\lQc6 Tlj%K

[>[:cNb feT

R

KSLNT

b j | p Q t b j Y T _eQc0ä

* \ê

\

?

LmM

QÞ K R T

\lã‹bdÞ LNM

Q

Q

Tlß

Q j Þ W:j>t6LNT

b j Y]bdÞ

LNM

Q

XL

b@dQ^Y5bv[µQ c K4L

bdc t K Y

KÿK

\lQc6 TzjŸuµK

YNQ TljŸLNM

QYN[

Kdt

Q

lÛK4j

_ ä< \ê

\

?

LNM

Q‘Þ K R T

\zã¼b4Þ LNM

QQ Tlß

Q j

Þ

W:j>t6LNT

b j YbdÞ

LNM

Q¼bv[µQ c K4L

bdc

ó û

ëTnLmM%LmM

Q u b W>j

_ K cmã

t b j _ TzLNT

b j Y-ä

p |p

ævê K4j

_ùä p |

p¦é

ê K Y KÿK

\lQc6 Tzj%uµK

YNQ

Tlj ; ? | p Q

tKdjT

R¼[´bvYNQ

< ? Lb u Q

LNM

Q t b j Y LmK4jXL

Þ

W:j>t6LNT

b j Q UXW>K

\VY L b

pKdj

_ ë

Q!cNQ R K c

g>K

Y W Y W>K

\

geLmM>KSL)LmM

Qoä

< \ ê K

cNQ!bvc LmM

b ß b j>K

\

u b

LNMoTzj ; B K4j

_

Tlj@;

? | p Q‘_eQed

j Q LmM

Q

Há

_ T R¼Q

j YTb j>K

\´Y¬[

Kdt

Q^Y¹÷ ä< ? ø

,,

ø <

µê K4j

_¹÷ ä* ? ø

A,

ø+*

:ê

g

K4j

_ K4j

_ LNM

Q0bdc LNM

b ß b j>K

\[:cNbQ t6L

bdcYPb j%LNM

Q^Y¬Q-Y¬[

Kvt

Q^Y Tzj ; B

äàcmQ YN[F|

Tlj

P ê6|

p

Q0cmQR

K

c6

LmM>KSL‘LNM

Q

tM

b

TVt

Q

b4Þ LNM

QŸä

< \ ê T

R¼[:\

T

Q^Y LNM>K4L

T

YY LK4u

\lQ W:j

_eQ c LNM

Q!bd[´Qc KSL

bvc

ó û

|

E Q L!W

Y!cmQR

K

c6 LNM>K4L g

Q k Q jBT

Þ : TY j b L

cNQ ßdW

\K cÿQ

j b W:ßvMFg

b j Q t K4j

YNQQ LNM>K4Lu

Q

tKdW

Y¬Q¼bdÞ LmM

Q¹[µQ c

T

be_

TVtu

b

W>j

_ K cmã

t b j _ TzLNT

b j Y g„LNM

Q!Q Tlß

Q j Þ W:j>t¨LmT

b j YbdÞ

LNM

Q

XL

bdQ YPbv[µQ c K4L

bvc

K

cNQcmQ ßdW

\K c |

. Z

LLNM:T

Y[´b TljXL geë

QY¬Q Q LmM

cNQ QÞ W:j>t¨LmT

b j YbdÞ

LmM

QÞàbdcmR

g hä

ò

êE÷

[\_ ? ú \ äò ê* \ j !

ø ñ

hä

ò

êE÷

[\_ ? \ äò ê< \ j

ø

ö"hä

ò

êE÷

[\_ ? \ äò ê< \ j

ø

ëM

Q cNQ

ú \ ø \ K4j

_ \ K

cmQcNQ K \

á‰kSK

\W Q^_ŸÞ

W:jµt¨LNT

b j Yb4Þ

¤ ? t \K

YmY g Y

W>tMaLNM>K4L

g# äx

ê5÷$ häg B ê g ñ äx

ê5÷$ hä

ñ B ê Kdj

_

. Þàbdc K4j

ã * Tlj

ä ˆ g#

ˆ ò ø+*

ê ü - äg ø g

ø*

ê ü . /

hä

ñ

>ê äg :êWY@%ä

* ê ü 6 - äg ø

ø+*

ê ü 6 - ä

ø g ø*

ê

ü 6 . /

hä

ñ

µê%ä

ê Y@%ä

*

êE÷

ó . / ä*

õö">ê

ñ ø är |ævê

. Þàbdc K4j

ã <

Tlj

gä ˆ ñ

ˆ ò ø< ê ü ./

ôoä ñ

ê¬õö

õ < ó ./

ä

g%

õ < ê ñ ó 6 ./

ä õ < êñ ÷ x>ø

är |é ê

ëM

Q cNQ

ö"¼÷

ó)ú2û

ñ ü

"hä ý þäñ

µê¬ê

är |èvê

yPM

Q‹Þ W:j>t6LNT

b j Y¹ô

g K4j

_

ý!þ

u Q Tlj:ß

\zb tK

\z\lã

E T [>Y

tM:TzL >vg

b j Q t K4j

Q K Y T

\zã YNQQ

LmM>KSL¹LmM:T

Y¹YNãeY

L

QR bdޑQ

UvWµKSLNT

b j Y TY

Q

UXW:TlkSK

\lQ jXLL

b K î

KdW>tM

ão[:cmb

u

\zQ R Þàbdc Kdj

bdc_

TzjµK

cmão_

Tzí

Q cNQ jvLmTlK

\FQ UXW>K4LNT

b j YYNãeY

L

QR Tzj‹LmM

Q

W:j

j b ëj

Y ú \ ø \ ø \| yPM

Q

î

K4WµtM

ã áE T [>Y

tM:TnLŠ> LmM

QbvcNQ R Q j YW cmQ Y

LmM>KSLLmM:T

Y)Y‹eY

L

Q R M>K

Y

K-W:j>TlUXW

QYNbd\

WeLNT

b

j‹TljvL

b

K4jTzjXL

Qc k¦K

\5å x>ø

ò

Hå g ò

T¦

x |

.&'(*)" 3

WeL¬LmTzj:ß

< ? ÷

p0K

Y

K-L

Q Y L Þ

W>j>t¨LmT

b

jTzj

är |ævê gµë

Qd j _

LNMµKSL g

Þàbdc K4j

ã G p0Kdj

_

K4j

ã ò j å

x:ø ò å gµë

Q

M>K¦k

Q ˆ

ˆ ò A äñ :êE÷

p

K:-K .7/

ˆ ñ

ˆ ò < ? ÷ x>ø

YNb LmM>KSL

A äñ

hä

ò

ê¬ê‡÷

A äñ

hä

x

ê¬êE÷

A

ä+ Fä ñCB

ê¬ê5÷

A äñ B ê är |vê

yPM>K4L)T

Y L bŸY

K ã LmM>KSLBA

äñ ê TY Tzj

_eQ[´Q

j

_:Q jXL

b4Þ ò Kdj

_

ÊKdj

_

TzL

Y

k¦K

\W Qÿ_:Q[´Q

j

_:Y)b

j

\lãŸb j‹LmM

Q

Tzj>TnLmTlK

\_

KSLK ñ B |

.&'(-,%

p

QR W Y

Lj

b ë _eQc

Tzk

QY¬bvR¼Q.0/%132546132hQ^Y LmT

R

KSL

Q Y Tzj

bvcm_eQ c

L

baY

M b ë LNMµKSL

ò

o÷

ü

Þàbdc)Q

k

Qcmã

GÉx

K4j

_

LmM>KSLLmM

QY¬Q UXW

Q

j>t

Q Y!ä g :ê g äñ

>ê Kdj

_ ä«ö">ê

K

cmQ u b

W:j

_eQ^_

Tlj‹LNM

Q K [:[:cmbd[:c

TVKSL

Q‘Þ W:j>t6LNT

b

j>K

\YN[

Kdt

Q Y |

áE{2T

cY

L

bdÞ

K

\z\

geë

Q W

Y¬Qÿö äò ê j K Y

KL

Q Y L Þ

W:j>t¨LmT

b

jTzj

är |é ê K4j

_ ë Q ß Q L

ä ˆ ñ

ˆ ò ø

ö"hä

ò

ê¬ê

ü

.&/

ôoä

ñ

>ê

K

õö"

K7 ó .7/

äg

õö">ê

ñ

¹÷

ó 6 ./

ä

õö":ê ñ ø

K4j

_aYNb geW

Y

Tlj:ß

är |èXê g:ë

Q

M>K¦k

Q

ˆ

ˆ ò ; ú Kõ ñ K77 ü . / ý äñ ê=<

ü . /

ôaä ñ ê K

õö K7 ó . / äg%

õö ê ñ ÷ ó 6 . / ä

õö ê ñ

p