Solution of Systems of Polynomial Equations by Using Bernstein Expansion

(1)

"!$#%'& )(*,+.-/!1032 -4)(6578+9&9'2 # :;=<*>.?:@!#%'&A-CB'+ DE-#F&G

H 03I/&A-J!103# & <LKNMO:;&A-P#Q&

R

@S UT V.WXZY[]\

^;

_

`acb

dePf

gOhjikmlonpiPq]rs9tuovPsxwzy{lxr]i|wi~}*nlxvPrnlxw=i*FiPyhpsLnUlowz

9s]PatrPlrrs9jj

mtt1 /j1/j

¡ o¢£¢¤¥@¦

%§

¨¢©

%§

¤«ª3¬¨®°¯

§Q§

¤¥±

§

¤«ª

¡ o¢£¢¤¥²³µ´·¶F£©

%§

¤¸ª¹¬¨x®²³¨´·¶F£©

Q§

¤¸¶F±ºJ¤¥±±¢±

´§

»

¤«¼ ¢£±z¤

§8½Q§J¾

¶ ±

§

¿

ÀÂÁÄÃFÃÅÆ%ÃQÇmÈ Æ

¾

¶F±

§

¨¿FÅ¨É1¢Ä£©

mÊ

Ë ©

¤«ÌÎÍµÏ¨£¢Ï¨£¤«

§

±Ð¤¸µ´·¶F£©

%§

¤«ªÒÑ¬¨¨¤ÔÓ¡ªF¶ ±

§

¿FÑ®µ¢

ÕÕÕ

§z§ %§ § §

Konstanzer Online-Publikations-System (KOPS) URL: http://www.ub.uni-konstanz.de/kops/volltexte/2007/2144/

URN: http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-21443

(2)

ðñåà8á3òEóôæJõpá3å]ÞæàØáöìA÷3ø@ëá3åàeÚ¹á

ùú

û¨üýFþeÿ%ü %ÿÿ¨üþ

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

12/þ32*5476-891mÿ"3:5¨þ<;¡û-5/9 ÿ2= 66xþ>%ü(¥ÿ?ýFüzþ>5,@8Qü/¥þA154B566C9DE /9FÿC2EFmþ8ý9F

¥ÿ)ý þ8þzüDG¥ÿzþeü2zþD9FÿHD"36¨ûI5 ÿ2KJLû;þK MNEO"O8P8Q<FRDI¨þD>5þ;mû99Sü/¥û

6¨ü/"S¥þ32>FRD"TS¨û2/9FÿUFR%ÿCWV¥ÿ¨þX5/9D2>FR/@ÿ 3þ ÿ91WY4þ3Z\[] 36¥þ2*DE%ÿHSoþ

4^Fûÿ3¥ÿT/þ=Fÿ ýFüI56T_XFüý`Qÿ?J/NEO"a8b"Qc"95(¥ÿ¨ýd¨þeüS¨ü/8V þ%ÿX7 züV8 :5V92

J/N>O8O8e"QF038254d/¨þXþ/2f4^ üK¨þX2/8¥û9Fÿg 4=2ûDIhi2/12zþjDEQÿgSoþXD:52/2lk

m

þn52GzþDI¨ÿ9;mû¨þ2GS 2zþoFÿþ993¥ÿ /9Fÿ?¨þ ü/1FUD ÿ/¥ÿmû5 ÿUF%ÿH2ûSC@92/9 ÿU

Z993¥ÿ59FÿG/¨þ ü/1"kAS52þ?3þ</204^Fü(D<Fÿ2züzûCD/¥ÿ¨ýXPü

ú

"S¨ÿ¨þeü(S 2zþ2üzþ91FÿX2/1Tk

S"9DpqQÿ96¨û:59%ÿ2EF<q5V¥ÿ¨ýp/"2zþp3þ22zþeþ<2/"3þ(-5ûÿ2zû9I5S¥þ04^FürsQüzý þeü

6¨ü/"S¥þ32>Ut(C2(D<s 2/2d%ÿX592/G/¨þf2zþD ÿ? 47/þ3þ2pS52þ?FÿDFÿ¸ÿmû /9Fÿ

4üzþ<;¡ûþeÿ/913ý"@ þJû2p3Füþ(¥ÿ4^Füq /9Fÿ%ÿþÿ¨þeþX2¸ÿCDeþd/¨þ1Tþzþeü3¥ÿ¨þd59D<8Tk

6¥þ[H2/"¥û/9FÿC2K 4,/¨þX2/12zþF$(¨þeüþE52T¥ÿn56699DE /9Fÿ2f54^þeÿg ÿ91W¨þX2/8¥û9Fÿ2

¥ÿuý"@ þeÿuQüzþEo54¥ÿzþeüþ2/vkwA169DE 91nHS-5[gk3%üþW2Fû¨ý"Eyx³ÿu¨þW: 2/3D>5zþzk

ý8 ü/1XþfD89¥þDd59Uþ/2((CDIW 6691qGC8q ¥ÿkM2699//¥ÿ¨ýG566¨ü` D{r|}]{%ü/¥ÿ¨ý

(9/?¨þS-5[q 4$¸ÿþeüzþ2EF-2zûCD{H%ÿ? ¸ý"Fü~2þ;mû¨þeÿ/:5991X2/699/2(9*¸ÿT2zûSS-5[mþ2EF

þ993¥ÿ5¥ÿ¨ýT¥ÿ4þE 2/9S¥þTS5[mþ2fS`1;û2¸ÿý?S û¨ÿ24^Fü¨þZü{Qÿ¨ýFþT 4,/¨þT6-891mÿ"3:592

û¨ÿ¨þüTDFÿ29¨þeü{ /9Fÿo5@FþeüZþ>5DIg 4=/þWF%ÿ,þeÿ¥ÿ¨ý;û6o( û¨ÿ9FÿH 4=S-5[mþ2

/ ,D ÿ{5¥ÿ2, 9U2/"¥û/9FÿC2(/T/þ2/12/þ(9DI?9¥þ=(9¥ÿ3/þ$ý89@FþÿqS-5[R(_@þ/]k

2ÜûC/992¥ÿ¨ýX/92T566¨ü` D{H¥ÿD<¸ûC¨þ3¥ÿzþeü@85$D<836û{ /9FÿzþDI¨ÿC;mû¨þ<2352pþ9} 2

3þ2p(9D{X566C1G/þþ[6Qÿ2/9Fÿ547fZû9/9@8%ü:>zþp6"1mÿ"3:5"¥ÿ`Kpþeüÿ2/þ¥ÿ

6"91¡ÿC83: 2>$x³ÿ6¨ü/¥ÿD<6C¸þ"Fxþ>5DIW¥ÿzþü/@85rD86¨ûI5/9 ÿ33þ</X4^ ü,289@¸ÿý3T2/12k

zþ54Uÿ ÿ9¸ÿþE%üJþ;mû /9FÿC2EF-DI4{*/¨þf3FÿCFýFüI56C2(1þ>%üA48/GJ/N>O8O8P"Q(%ÿiþeûX5¥þeü

J/N>O8O8"QF0DE%ÿSoþ?566C¥þng?6-891mÿ8:5$21`2zþn,"T2zû¨ü6¨ü/92/¥ÿ¨ý"91`F0zþDI¨ÿ9;mû¨þ2

2/6oþD:59913þ2/¥ýFÿþX4^ üB6-891mÿ8:521`2zþ2,%üþ= 4^zþÿqFüþþI3D¥þeÿ(¥ÿXD86¨û¸ÿý

/93þ"Upþ,D ÿDeþeÿü{5þd¨þeüzþ*FÿT¨þ2zþdþ/2>

ùoú

%ý þeüB%ÿC3,5J/N>O8O8"QD"TS¥ÿ¨þ

/¨þ3þW 4=Pü

ú

"S¨ÿ¨þeüfS52þ2K(9H¸ÿþeü/@8 $D86¨ûI5/9 ÿ2EB%ÿLþÿ`þeÿ¨ü1`DIV,þ

{I(RR^(5U 5<¡AE¢"//¡A$£:¤>¥9¦(^§ ¨/ 5¡A55>¡A5^¡A>©5-ª¤5^¤5«<¨{¬C^¥<¡A,/®<®E¯I°±5¨

²I³

°®>¯pª7<¤5^¤5«$¤5´fR^5p 5¡AE¢"//¡A*µ=<^5¦(^§(©5¤5´¶>^§8¨5·r¤5¸/^¹Rª¤5^<¤5«º

/¦(9»¼I½R¥9>¾:§¤5:¤5«I´5

¿^À

¬U¶>¦(T(R^^5d£:¤5^©50¥M¹©5

À

¤5¼¤5´5, 5<^¡AE©5¤5¼ ¨ 5¡A55>¡A5^¡A<©5Bª¤5^<¤5«¨

/¦(¤>Á8ºI/¦(<9»`¦(^8½¥9>¾s§<¤5^I¤5«´5

(3)

ý898S-5U2þE%üDIH3þûC2/¥ÿ¨ý3¥ÿzþü/@8592Â4^Füÿ¡ûC3þeüD>5UD<FüzüþDÿ¨þ2/2T%ÿC?4^ ü,6¨üû¨ÿ¥ÿ¨ý

/¨þf2zþEQü/DI?2/6-5Deþ$þ>%ü/91

,2p¥ÿT/¨þ*3þT/Soþ,6üzþ2þeÿzþ?¥ÿT92B6 6xþüEF¨þü/S¨ü`"VFþ%ÿC37 züV8 :5V92

J/N>O8O8e"Qpû2zþGpþeüzÿ2zþ¥ÿ;þ[6%ÿC2/9FÿU*mþ;mû¨þeÿDþ254$S-Fû¨ÿC¥ÿ¨ýTS5[mþ2Â4^Fü(¨þG2/8¥û9Fÿ2

/?¨þT6-891mÿ8s U21`2zþÃQüzþ3ý þeÿ¨þeüI5þgS1?Ap?lþeüzþeÿK 66¨ü`5DI¨þ<2E|G/¨þ

m

ü/2/

3þX6¨ü/EÄ{þD/2dD ÿzü/"U6-891¨þ¨üIT ÿ`3G2zþ*54$DFü¥ÿ5þ6:%ÿþ2=QÿX/¨þ2þDIk

Fÿþ<[`6C"9/29¥ÿ¨þEQü6¨ü/ ýFüI53¥ÿ¨ýGpûÜÿC û2zþ54(/¨þüzþ: /9Fÿ296HSxþ<Aþeþÿ¨þ

þüzÿ2zþ¥ÿÅDmþI3D¥þeÿ/2Fÿ ÿþ¥ý8S û¨ü/¥ÿ¨ý2zûCSS5[mþ2>F(DI4{µûS2zþ<D/9FÿÆCÆiSoþ95F$92

q ¨þ3%ÿ,ÿ;þ[2zþeÿCDeþ?zþ<2/T4FüTXS5[HWD<Fÿ{ ¸ÿn?28¥û ÿUFDI4{omþD ÿeF92

6¨ü/5@9¨þr

Ç

/¨þü,56699DE /9Fÿ20547pþeüÿ2/þ¥ÿ þ[6%ÿC2/9Fÿ¸ÿCD¥û¨þ= 6699DE59Fÿ2$wÈp"36¨ûCzþeü

,9¨þPþ8þzü9D=Éþ2/¥ý ÿÊJþ8ý9FLû@þ, A(NEO8O"P8Q<F/Zü/"S¨û2(2/{ S99A1T6ü/8SC¸þ<32EFDz4{

/¨þT2û¨ü/@ þ1WQü//9D¥þT%ü95J^Æ8"8"QFQÿ/X/¨þG2/"¥û/9Fÿi54B21`2zþ2d54B6-891mÿ8:5

¥ÿ¨þ;mû599/¥þ2J%ü95W%ÿXPü{4}N>O8O8O"Q

t(¨þT üzý`Qÿ92{ /9Fÿ? 4}92d656oþeüG2 2d4^8995(2E|Âx³ÿH/¨þZÿ¨þ<[`f2zþD9FÿHpþTS¨ü/¥þIË1

üzþD>59R/¨þ*þüzÿ2zþ¥ÿ@þ[6%ÿC2/9FÿUF"DI4{Qü/95HJ/NEO"O8e"Q$%ÿ3Ìoþ<//¥þeü(%ÿCqQü/95WJNEO8O"a8Q

%ÿ/¨þüzþI4ÎþeüzþeÿCDeþ2d/¨þüzþ¥ÿU0t(¨þ,þ/T92$6¨üþ2zþÿ`þ?¥ÿqµþD/9 ÿqeZ[56¥þ2BQüzþ

ý89@Fþÿq¥ÿXmþD ÿXÍ

Î

þGDFÿDþeÿzü{ zþ¨þeüzþFÿ;üzþE $2/"¥û/9FÿC2EFrS¨ûdþZÿC8zþT5fD86¥þ[X2/8¥û9Fÿ2

DE%ÿXSoþ*4^Fû¨ÿC32/9691S1T2zþ6Qü{ /¥ÿ¨ýþE5DIX@8%üs S¥þ,%ÿ@þE DI36-891mÿ8s ¸ÿK¨þ¥ü

üzþE 7QÿXX%ý"¸ÿ-%ü/1f6%ü/2EFCFûCS9¸ÿýK¨þdFü/þeü, 47/þ=212/zþ<W

Ï ÐHÑr%!,Ò"#ÑU.!ÓÑÔ,Õ,Ö!,Ò.&$!

c ü3D"36 Dzÿþ2/2>F(þi(9Jû2þWZûClkM¥ÿ9Deþ<2w×ØÙJ^ÚÛÜ>ÝEÝ>ÝIÜ{ÚÞ^QTQÿZû9/lkA65pþeü2

ßRàØâáãä

Û

áCã:å

æÅç ÝEÝ>Ý

ç

áã:è

Þ

4^ üTßêéìë

Þ

íx³ÿ¨þ;mû 9¥þ23×ÅîÃïð4^FüTZûClkM¥ÿ9Deþ<2wQüzþ

3þEQÿUD"36-Fÿ¨þeÿA(92zþ"F5(¨þeüþ,GîÚñÜIòKØyN8Ü

çEç>ç

Üó/Ü59293699D9/91Jû¨ÿC¨þeü/2/U

Î

9/

×uØôJÚ Û Ü>ÝEÝ>ÝIÜ{Úõö Û ÜIÚ:õ"Ü{Úõ{÷ Û ÜEÝ>Ý>Ý{ÜIÚÞQpþW522/D:5þW¨þH¥ÿ¨þ[×Iõøñ ý"9@FþeÿS1u×zõ/øñuØ

J^Ú

Û

Ü>Ý>ÝEÝIÜIÚ:õ<ö

Û

Ü{ÚõBùòRÜIÚõ{÷

Û

ÜEÝ>ÝEÝIÜIÚ

Þ

Q<FR(¨þeüþwîÚõ}ùòiîíú-õ`Ý

Î

þDEQÿ?/þeÿHJü/9zþG%ÿ

ó9kA@8%ü/: zþd6"91¡ÿC83: ûX¥ÿ/¨þd4Fü/

ûrJ:ßUQ$Øü

àEý-þ?ÿ

à ß à ÜôßWé?ë

ÞÜ J/N>Q

%ÿ@üþI4þeü*/3ï 2(/¨þ

54RûU,92Fpþ=Jü9zþ

þ

à 4^ ü

ä

ãä ç

ÝEÝ>Ý

ç è

ãsè

!"#!$%'&)(*#$%!"(%#(%&+$-,(/.01(/*#"$2.

x³ÿn/92T2zûCS2zþD</9FÿÅþ@þ[6Qÿ;ý89@Fþÿgó9kA@8%üs zþX6-891mÿ8s (J/NEQG¥ÿ/Hpþeüÿ2/þ¥ÿ

6"91¡ÿC83: 2T8SI5¥ÿ3S-Fû¨ÿC2p4^Fü(92Jü{%ÿýFþd5@Fþeü,QÿXó9kMCþeÿ2 ÿ5CS5[R

Î

9/CFû

(4)

982/2d 4 ý þeÿ¨þeüI599A1XþD<Fÿ2þeü/þ$û¨ÿ9,S-5[43 Ø65CÜEN'7 2/¥ÿDþwQÿ`1@ÿ ÿ¨þ6A13S-5[

54Bë

Þ

DE%ÿXSoþq 66oþq3ÿ¨þ91TFÿ/G/C2(S-5[R

cCFüTß~Ø Já Û ÜEÝ>ÝEÝIÜIá ÞQé~ë

Þ

FB¨þH×5/98

: ;=<'>!?@;-A%BCED;2BFG?@HC

54¨þeý üzþeþgïð92

¨þ

m

ÿþW52

I þ øà

J:ßUQ$ØKJ

äø ãä

JáRÛQ)J

å ø ã:å

J^á

æ Q ç Ý>ÝEÝ

ç J èø

ãsè J^áCÞ^QÜ

(¨þeüþd4^ ü}ÚMLØÜ>Ý>ÝEÝIÜIúL`FONØN"ÜEÝ>Ý>Ý/Üó

J

OP øãP

JáL5Q$ØRQ úL

ÚLTS á ãP

L

JNVU áOL5Q

OP ö ãP Ý

t(¨þ$ü{Qÿ2A4^ ü/X5/9 ÿ,54R(6-891mÿ8s I4ü8í9/2r65pþeüR4Fü/~JNEQ¸ÿ(2W8

:X;< >!?@;

Y BXF

üzþ2û9/2*¸ÿ

ûUJßUQ$Ø ü

àEý-þ J à

J3XQ I þ øà

J:ßUQ<Ü

(¨þeüþ/þZ8

! ;< >!?@;4[B!\][!?@!;%>@<

J à

J3XQ$ 4Uû35@ þeü+3 QüzþPý89@FþÿqS1

J à

J3XQØü

^

ýà

à

^

þ^ ÿ ^ Ü ×GîïXÝ J^Æ"Q

Î

þD89¥þDR¨þ$pþeüzÿC2/zþ<¸ÿGDmþI3D¥þeÿ2U¥ÿ%ÿ%üü{>1

I

J3XQF>Aþ89F

I

J3XQ$ØyJJ

à

J3XQQ

à>ýþ

x³ÿ?%ÿ ý81TwÈp"36¨ûþeü(,9¨þ<vþ8þzüDdÉþ2/¥ýFÿþdDE 9

I

J3qQ(

A%H>[_

$cCFü(%ÿ

þI3D¥þeÿ3D>59Deû:59Fÿg 4/¨þ?pþeüÿ2/þ¥ÿuDmþI3D<¸þÿ`2EF((CDInmþ2ÿ8Zû2þgJ^Æ"QFp2zþþ

%ü95J/NEO"a8P"Q*,9üFû¨ÿC¸ÿý3þeüü/Fü2K56C6xþEQü/¥ÿ¨ý¸ÿi/¨þGD86¨ûI5/9 ÿq 4$/¨þGþüzÿk

2/þ¥ÿ?DmþI3D¥þeÿ/2*DE%ÿXSoþd{5V þeÿX¥ÿ`35DD<Fû¨ÿ(2/9:Qü/91K52(¥ÿXcU92D{þeüKJNEO8O"8Q<

x³ÿ/¨þG4^"95(¥ÿ¨ýG¥þ3XFpþK992/d283þaû2zþI4ÎûB6ü/86oþeü/¥þ2 4}¨þKpþeüÿ2/þ¥ÿgD k

þI3D¥þeÿ/2>,ü86oþeü/A1HJ::Qp(52ý89@FþeÿS1vÈ(Qüzý"wQÿW92XJ/N>O8P8P"Q(%ÿX6¨ü86oþeü/A1HJ:Q

S1qc-%ü/ ûVU%ÿX,Ä<%ÿWJNEO"a8a8Q<

`

*#*#$acb

!>/AedHZA=BfCED;%BOFg?@HfCWhijkB)YlO)+monqp_2:;>r_%VY BCCEBst?@;uAvBA%: >?@X<

_%BfCE+YXB?@><

8

! ;< >!?@;4[B!\][!?@!;%>@<

J à J3XQ

hxw jy

?jz{H;O!;%[ CrB< ?@;ZAvBA%:X>Dy

|

ßé43|H3¥ÿ

àEý-þ J à

J3XQ0îHûUJ:ßUQ}îX5[

à>ýþ J à

J3XQ J^e"Q

s?@>r_}~!HfCE?@>D#?@;}>r_%-CrYX>gh)X<Anr ?!_%>j?;%~:HCr?@>D#?Y4H;2BO;CED#?Y

3¥ÿ

à>ý-þ J à

J3XQ

h)X<Anr

X5[

à>ýþ J à

J3XQ/Q

?r<4HO>>H?@;2#HO>gH

8

! ;< >:?;[B!\][!?@!;%>

J à J3XQ

st?@>E_

Úñé

(5)

CÜ{ú ñ Ü òTØ N8Ü>ÝEÝ>ÝIÜ/ó

n

?@?j{HX>?@HfC! ?@!H>?@!:y

û

á õ

J:ßUQ0Øú õ ü

à>ýþt@

ä

5J

à@

ä

J3XQTUJ

à

J3XQ7

I

þ@

ä øà

J:ßUQ>Ý J:ÍQ

`

*#*#$#b

!>

û

d4H;

óx

:HO ?@H>GA%BCrD;%BFG?@HC+HO;%#Cr:> I

J3XQ

d4>r_%GA%H>[_B)Y?@><

8

! ;< >:?;}[B:\][:?@!;%><4B;

3

np_2:;>E_2

8

:X;< >!?@;}[B!\][!?@:;2>@<4B)Y

û

B;}>r_%

?@FG!;< ?@B;%HfCY HO[ <lB)Y

3

HO) O< >>r_%G[B:\][:?@!;%><BO;4>E_2)X<A=[!>?:+

?@FG!;< ?@B;%HfC

Y H[X<B)Y>r_%uA=HO>[_

I

J3XQÜIGî

înóUnN

n

{)B!B)YXy

xA39232û3D¥þeÿ3g6¨ü5@Fþ?¨þ?2{5þ3þÿ`Fÿ91 4^Fü

Ø óVUN8þqòyé

N"ÜEÝ>ÝEÝIÜó x³ÿo/¨þX2zþ<;¡ûþ,pþX¸ÿC9DE5þ3S1J^òQf/-5T/þq;mûQÿ/9A1)ûÿ¨þeüÃD<Fÿ2]k

þeü{ /9Fÿn92T{ VFþeÿn(9/CFûT¨þ?D ÿ`ü/9S¨û9Fÿn54d/¨þWò]/nD86 ÿ¨þeÿEFþ8ý9FB×

ñ

Ø

J^ÚÛÜ>Ý>ÝEÝIÜIÚñ"ö ÛEÜIÚñ÷ ÛEÜ>Ý>ÝEÝIÜIÚ:Þ:Q0t(¨þ×5qpþeüÿ2/þ¥ÿWDmþI3D<¸þÿ`*54

ûUJáRÛ5Ü>ÝEÝ>Ý/ÜIá ñ"ö ÛÜIÜIá ñ5÷ ÛÜEÝ>Ý>Ý{ÜIáCÞsQ0Ø ü

à>ýþ

ø

ã@:

ÿ à Jß

à Q ñ

DFÿC2/9¨þeüþÊ 2,6-891mÿ"3:5¥ÿóUNd@8Qü/:5S¥þ2p92Jý89@Fþÿ3S1

ü

^

ýà øL

à

^ ñ

þ^ ñ

ÿ ^

(9DIqD<8¥ÿD9¨þ2*(9/¡J

ã^ä¢¢¢ã

ä= Cã)£ ä)¢¢¢ã:è

$939:%ü91`F>pþ="S{ ¥ÿT4^ ü,á ñ ØíN

ûUJ^á

Û

ÜEÝ>ÝEÝÜ{áCñ"ö

Û

ÜEN"Ü{áCñ5÷

Û

Ü>Ý>ÝEÝIÜIá

Þ

Q$Ø ü

à¤

¥

ýþt¤

)¥O¦

à¤

¥

J:ß à Q

ñ

Ü

(¨þeüþ

¦ à ¤

)¥

Ø}§

ã¨X

ÿ à

rt(¨þ,× /Tpþeüzÿ2zþ¥ÿDmþI3D¥þeÿ$54R/C26-891mÿ8:5592ý89@Fþeÿ

S1

ü

^ ¤

)¥

ýà ¤

)¥

à^ ñ

þ^ ñ

¦ ^ ¤

)¥

Ý J^"Q

Ç

ÿ?/¨þd"/¨þeü*%ÿCUFþd>@ þ

J ãä ¢¢¢ã¨

ä

-ã¨£ ä ¢¢¢ãè Ø ü

^

ý-à

øã à

^

þ^ ÿ ^

(9DIqD<8¥ÿD9¨þ2*(9/WJ8Q<

z{!FgHO)©y

*6699DE59Fÿ? 4qþqÆY4^ ü,S-Fû¨ÿC¥ÿ¨ý3¨þÜüI%ÿ¨ý þK 4B65@Fþeüd%ÿ;þ¨ýFþG54

3(52Jý"@ þeÿ3¥ÿX/þZ\¨ýFþþ<3q¸ÿXÌoþ/¥þeü=Qÿ?%ü gJ/NEO"O8a"Q

(6)

t(¨þdS û¨ÿ2*8SI5¥ÿ¨þS13/þ=¥ÿ¨þ<;¡û-599/¥þ2dJ^e8Q0DEQÿqSoþ¸ý"zþeÿ¨þ<ql4/¨þPû¨ÿ9pS5[3

92,S92zþ<Dzþ¥ÿ/T2zûCSS5[mþ2QÿXþeüÿ2/þ¥ÿþ[6%ÿC2/9FÿX92= 669¥þX/T/þK6-891mÿ8:5

ûHFÿ/þ2zþ2zûSS-5[mþ2EFAþ89FRq¨þT6-891mÿ8s R2/l4^þ4ü8|þ>5DIH2zûSCS5[S5DIV?

3$í2/pþeþ6i¸ÿ/¨þG¯>/X¥üzþD</9FÿHJ/Nîc¯fînó^Qp92,GS92zþD9FÿX6xþü/6oþeÿ9Deû:Qü,/T92

¥üzþD</9Fÿ?%ÿCq92(6oþeüA4Fü/þ3S1üzþDeûü/2/9@ þ91v 6691¥ÿ¨ýKG9¥ÿ¨þE%ü(¥ÿzþü/6-8:5 ÿU1þ

°

Ø5±

Û Ü ± Û71²WÝ>ÝEÝ²#5±

Þ Ü ± Þ7

SxþT%ÿ1X2zûCSS5[X 4t3ý þeÿ¨þeüI5zþ<WS1X2/pþeþ686oþeü{ /9FÿC2KJ^ ,¨þKSoþeý"¸ÿÿ¥ÿ¨ýFCþ->@Fþ

°

Ø3qQ<${Qü/¸ÿýT(

I J°

Q$Ø I J°

Qpþd2þ(4^ ü}òTØyN8Ü>Ý>ÝEÝÜ{ú

õ

J ñ

à J° Q$Ø´³

J ñ"ö Û

à J°

Qp|8Úõlµ ò

JJ

ñ8ö

Û

à @

ä J° QRùaJ

ñ"ö

Û

à J°

Q/Q¶8ÆG|8òîÚõ Ý

t38SC{5¥ÿX/þÜÿ¨þ<DmþI3D¥þeÿ2EFR92,92= 669¥þX4^ ü=ÚL ØCÜEÝ>Ý>Ý{ÜIú L F2NwØ~N"ÜEÝ>ÝEÝIÜ¯{U

N8Ü¯(ùíN8Ü>Ý>ÝEÝÜ/ó/ft(¨þeÿH¨þKpþeüÿ2/þ¥ÿgDmþI3D¥þeÿ2Fÿ

°

FR(¨þeüþT/¨þG2zûCSS5[

°

92

ý89@FþÿqS1

°

Ø5±

Û Ü ±]Û)71²WÝ>ÝEÝ²#5±

õ

ÜW·± õ 7W²HÝ>ÝEÝO²#5± Þ Ü ±5Þr7/Ü

(9/¸·± õ ¨þeÿC8/¥ÿ¨ýX¨þT396-8¥ÿ(545±

õ Ü ± õ 7/FU%üþK"S{ ¸ÿþÊ 2 I J°

Q,Ø

I J°

Q<

t(¨þpþeüzÿC2/zþ<¸ÿiDmþI3D¥þeÿ/2 I J°

ÛQpFÿX/¨þPÿ¨þ<¸ý"S û¨ü/¥ÿ¨ýT2ûSS-5[

° Û

° Û Ø¹5± Û Ü ± Û 7W²

ç>ç>ç

²º5±"õ8Ü· ± õ7W²

ç>çEç

²#5±

Þ Ü ±5õ7

%üþ8SI5¥ÿ¨þ? 2(¸ÿþeü/þ:5þ,@85¥û¨þ<2(¸ÿX92(D86¨û{ /9FÿrF82¸ÿCDeþ*4^Fü,òTØÅÜ>ÝEÝ>ÝIÜ{ú õ

/¨þ4^8995(¥ÿ¨ýPüzþ:59Fÿ3C892J^f%ü/9 N>O8O"e8Q|

J ãä ø

¢¢¢

ø öñ"ø

¢¢¢

øãèJ° Û QØJ

ñ

ãä ø

¢¢¢

ø ø

¢¢¢

øãèJ° QÝ

2/pþeþ6;ÿ¨þeþ2»TJ

·

ú Þ÷ Û

Q, 9/9FÿC2,%ÿ?ZûC969D>5/9 ÿ2EF"(¨þeüþ

·

úØíX5[

ú ã

|Ú$Ø

N8Ü>ÝEÝ>ÝIÜ/ó ÜDz4{,Ìoþ/¥þeü%ÿ%ü J/N>O8O"a8Qp*8zþG/-5,S1/¨þG2/pþeþ66¨ü/Deþ<¨û¨üzþT¨þ

þ[699D9züI%ÿ24^Füq59Fÿ? 4}¨þ32ûSS-5[¡þ<2$ýFþeÿþeü{ zþnS1?/þ32/pþeþ6C2KS DIVWº3 92

>@8"þU$cr¥ýpNd9¥û2zü{ zþ2(¨þd2/pþeþ6¥ÿ¨ýT6ü/Deþ22,4Fü(óRØuÆTQÿ¡¯dØyN8

¼ ½-¾,Ñ9¿ ÑR#%¾,&('

þúi6"91¡ÿC83: 2rû

ã

ÜIÚØ N8Ü>ÝEÝ>ÝIÜ{úFC¸ÿX¨þ$üzþ>5@8%üs S¥þ2,á Û ÜEÝ>Ý>Ý{ÜIá

%ÿCWGS5[ÁÀ

¥ÿ?/¨þTë

Sxþý89@FþÿU

Î

þf}Qÿ`*/V¡ÿC5í/¨þG2zþd 4}59U28¥û ÿ2,3¨þÜþ<;¡û-5/9 ÿ2

(7)

I J° Q I J° Q I J °

ÛzQ

Â Ã

CF

á æ á Û N8F F

N:Ä"ÆF

N8F

ÅÆrÇ/ÈlÉÈ1ÊË1ÌÎÍÏË#ÐÑ:ÒÓxÔÏÕÑXÖ)Ï{Ì ×ÒÑ ØÍÏÙ×ÚGÑÕË1ÏÏÐgØÍkÒÔÏVÛÖ)ÕÒÙfØÖ)ÏÓÒØÌXÍ

û ã

J^á-QØêÜIÚ(Ø N8Ü>ÝEÝ>Ý/ÜIúFU(9¥ÿÀ Û Î

9/ û982254JýFþÿ¨þeü{ 9A1pþTDE%ÿn52/2û3þ

/ lÀ~92(/¨þPû¨ÿ9(S-5[R

Ç

û¨ü(6¨ü`Dþ¨û¨üþK92p@Fþeü132/96¥þ8|

Î

þ*{ VFþ>}>1G4Îü/8ÜÀÓ592ûSS-5[mþ2ý þeÿ¨þeüI5zþ<

S1K2þeþ<62p4^Fü0(9D{T¨þeüþ=92B6"1mÿ"3:5>û

ã

Sxþ¥ÿ¨ýJ:2/ü/9D1Q06"2/9/9@ þ(FüUÿ¨þý`59@Fþ

5@Fþeüp/þ,2zûCSS5[R

Î

þ(DI¨þDIV3¨þ,2¸ý ÿT54U¨þ,6-891mÿ8:52rS1K¨þ¥üBpþeüÿ2/þ¥ÿqD<¡þzTk

D¥þeÿ/2, DDFü¥ÿ¨ýT/þ<3qfN8|x47 -pþeüzÿ2zþ¥ÿ?D<¡þz3D¥þeÿ/2, 476-891mÿ"3:55û

ã

Qüzþ

þ9/¨þü,6-82/9@ þdFüJÿ¨þeý5@ þ,5@ þeü,GS5[RF92(S5[TDEQÿ@ÿ8(D ÿ{5¥ÿ?f2/8¥û9FÿU

(4zþeü926¨üû¨ÿ¥ÿ¨ý?2zþ6oþZþeÿCû6H(9/HX2zþG54(S-5[¡þ<254,2û3D¥þeÿ/912/q 9

@8"¸ûC3þ8d*¨þ2zþS5[mþ2Pÿ5 û¨ÿ¨þüzý8%ÿ þ[92/þeÿDeþzþ2ETx³ÿH

m

ü/2K5zþ6,pþ

þ[6989(/þ$þ[92/zþÿDeþGzþ2ý89@ þeÿ3S1q_v¸üI%ÿ-XJ/NEO ÍN>Q$(9DIX6¨ü/5@9¨þ2dýFþeÿþeü{ 92I>k

/9Fÿi54B¨þd4M Dd/ ,l4BZû¨ÿ9@8Qü/:5þDFÿ¸ÿmû û2(4Îû¨ÿD ÿºÝ 2=T2¥ýFÿ?DIQÿ¨ýFþK

/¨þaþeÿ6-8¥ÿ/2( 4\%ÿX¥ÿzþeü@85R¨þeÿ?92(¸ÿþeü/@8 RDFÿ{ ¥ÿ2}Gþeü/54ÞÝr|

ßlà (*áâãK"$%T$äkb :>Vå

ØR5á

Û Ü á-Û7²Ý>ÝEÝ/²5á

Ü á 7

n4æo:;2B>4d:Dçå

ö

ã |Ø

ßé å´è

á ã Øá

ã H;2lå

÷ã |Ø

ßé åéè

á ã Ø á ã

>E_2tA=HO?@+BY+BAOA=Bf< ?@>tA%HHC@Cr C:YXH[ <

B)Y{åÜA=!A%:;2?@[!OCEHo>Bê>E_2

Ú

>E_Á[B:BO)?;%H>gO?@)[!>?B;%n

b :>ë

ØJÝ Û Ü>Ý>ÝEÝIÜÝ

Qíì

dkH4[BO;%>?;%BO<+Y ;%[!>?@BO;#î;%-B;4å-nïEYG>r_%!)k?¨<gH

A=! FG>HO>?@BO;

Jð Û Ü>ÝEÝ>ÝIÜð

Q BY

J/N"ÜEÝ>Ý>Ý{ÜIúRQ

< [_Á>E_2H>

Ý ã J:ßUQÝ

ã J0 Qpî

Y BlHfC@C

ßWé å ö

ñ!ò

Ü 0 é å ÷

ñ!ò

ÜÚrØN"ÜEÝ>ÝEÝÜ{úÜ J^P"Q

>E_2:;->r_%G~!H>?@B;êë

J:ßUQ$ØÅ

_2H<H< BCr>?@BO;4?@;å-n

2/ ü/d6¨ü` 4} 4}_X¥ü{Qÿ2ó2dt(¨þ<Füzþ< (52Pý89@FþÿWS1?UüI5 /92KJNEO"a8O8Q<ÿ)þI4k

m

D¥þeÿG3þX4^FüfD{þDIV`¥ÿ¨ý596xþeüZû{ /9FÿC2=92XSxþ6¨üzþ2þeÿzþo¥ÿg%ü Qÿ

39WJ^Æ"8CNEQ0d û2/þ9992J/NEO"b8a"QFDz4{(_XFüzþG%ÿXd9Fû2zþ9992J/N>O8a8"Q(%ÿ?Ìoûþ

%ÿnþeûq ¥þeü3J/N>O8a"a8QFp%üýFû¨þo/ T/¨þX21`2zþ

ë

J:ßUQØ 2Fû9oSxþX6¨üþDFÿClk

/9FÿþUFRAþ89F9,2FûCiSxþüzþ6Cs DeþS1¡ô

ë

J:ßUQ*ØT(9WT2û9{5SC1XDI"2zþeÿq zü/9[

ôKfx4

ë

2*lÒþüzþeÿ/: S¥þTFÿ

å

FUüzþE 2/Fÿ-5S¥þGD{C89Deþf4^Fülô 92=3I5VFþT%ÿH56C6¨ü/5["k

9q59Fÿ3X/¨þG¥ÿ`@ þeü/2þK 4B/þ

ù

5D"S:%ÿ? 4

ë

,/þKC6"¸ÿp54

å

dx4Bpþw 6691

õ

(8)

þ(D>%ÿT/þeÿ3X5VFþû2zþ( 4 ¨þþE 2/1GDE59DeûCs /9Fÿf54R/¨þ*þeüÿ2/þ¥ÿT4^ ü/y54R/¨þ(6Qü/s

¨þeü@8 /9@Fþ<2,54(G6"1mÿ"3:5C4ü8ê2,pþeüzÿC2/zþ<¸ÿ4Fü/ FDz4{KJÍ`Q<,c¨ûü//þeü/Füzþ"F¨þ

zþ2Püzþ;mû¥üzþ<?¥ÿÊJP8QpD"2/21ÿþE%ü1ÿ8¥ÿ¨ýT2/¥ÿDþ/¨þfþeüÿ2/þ¥ÿWD<¡þz3D¥þeÿ/2d54RûXFÿ

/¨þp4A5Deþ2054

å

Qüzþ(Vmÿ5Jÿ ÿDeþ(¨þ(þüzÿ2zþ¥ÿ3D<¡þz3D¥þeÿ/2p54`ûGFÿ

å

QüzþpD86¨ûzþ<UF

DI4{þ3XÆ

Î

þPþ36C51TG¨þeûü/92/DG2/pþeþ6i¥üzþD9Fÿ?2þ¥þD/9 ÿ üzû¥þ¥ÿ?%ÿ? /zþ<36p/3¥ÿlk

392zþ(¨þ,8I5¨ÿmûTSoþeü$ 4U2zûSS-5[mþ2p(9D{ÿ¨þeþ/GSxþ*6¨ü/Deþ<2/2zþ<UBmûCD{X$üû¥þ(q>1

4M>@8 û¨üR¥üzþ<D/9FÿC27¥ÿd(9DId6"1mÿ"3:592->@Fþ$:%üýFþ6Qü//: 8¨þeü9@85/9@ þ27Qÿd¸ÿd(9DI

/¨þfS5[þ¨ýFþf¸þÿ¨ý82,%üþ:%üzý þeüEF3>@8"üzþ6oþ9@Fþ2þeþ<62,¥ÿ?G2/¥ÿ¨ý"¸þd¥üþD/9 ÿU

t(¨þþ/2pzþ<2/zþ<W(9/X¨þ*4^8995(¥ÿ¨ýd¥üzþD9FÿX2zþ¥þD</9Fÿ üû¥þd@8%ü/:Qÿ`2E|

û]üT|t(¨þ*¥üzþD9Fÿ392p2zþJþ<;¡û-5R/f/¨þd2zûCS9@92/9FÿTþ6/X`û9,/þ1ÿmûTSoþeü

4B@8%ü:5S¥þ2>F6¥û2*Fÿ¨þ8F-@98þE5DI?¥üþD/9 ÿW92,>RFü¨þH%ÿ þ<;¡û-5S:52,Qÿ?92

DI"2zþeÿi¸ÿ2zþ;mû¨þÿDeþ8(t(C2p92Jû2zþ<W52,fDFÿü/8]üzû¥þ8

û ° | Î

þ3D<836ûzþX%ÿ ûC66xþüTS û¨ÿo4^FüG/þv S2/"¥ûzþ@85¥û¨þ3 4,/¨þX6Qü/s

þeü/9@859@FþHJ94ü8Ã923pþeüzÿ2zþ¥ÿ 4^FüWFDI4IuÌoþ/¥þeü?%ÿQü/95JNEO8O"a8QQf4^Fü

þ>5DIuC¸üþD ÿFÿ9þE5DIÅ6"1mÿ"3:5dJ:6-5/DIQ<x³ÿîþE D{ ¥üzþD9FÿUF*þi2zû

¨þ2þq@8 ¥û¨þ25@ þeüw 9$6"91¡ÿC83: 2EFr%ÿH2þ¥þDT/þ3¥üzþ<D/9Fÿ4Fü(9DIg¨þ

6ü/¨ûD*54S5[þ¨ýFþd¥þeÿ¨ý"/?%ÿCq6-%ü/:5R¨þeü9@85/9@ þ,2zûCÓ92(q [3 ^

û °

|,*2

°

Foþ[Deþ<6K5dpþKI5V þK¨þTq [`9û~ 4B/¨þZûC66xþüS û¨ÿ24^Fü

¨þT5S28¥ûzþf@85¥û¨þ 4\¨þG6%ü/:5r¨þeü/9@8 /9@Fþ2d5@ þeü= r6"91¡ÿC83: 204^FüþE5DI

C¸üþD ÿUFQÿ3¨þeÿ?ZûC9691S13/þ=S-5[3þ<¨ýFþd¥þeÿ¨ý"/UF-52(SoþI4^Füþ8

ý þÔ,Ö1¿~ÕÎÿ/ÑUÒ

t(¨þG3þ?} 2,þ2/þ4^Fü*2/"3þ 4B/¨þG2{ 36¥þd6¨ü8S¥þ2p4ü/" ¨þeüS¨ü/8V þwQÿ

5zü9V85:5V92,J/N>O8O"e8QdJ ª

Qp%ÿC ùoú

%ý þeü,%ÿ?*5/GJ/N>O8O8"QdJUëQF2zþþt$5S¥þKN"

t(¨þ?X5[9ÜûC 2zûCS9@92/9Fÿn¨þ<6/92TDI"2zþeÿÅ/g D{C¸þ<@Fþ?¨þ?2{ 3þ/8¥þeüI%ÿDþ

52Zû2þn¥ÿ ª

QÿUë?F]üzþ26xþD</9@Fþ91nx³ÿ.þE5DInDE52þ8Fpþ@üþDFün¸ÿnt$5SC¸þ3Æ¨þ

/"{5ÿmûTSoþeü, 4BS-5[¡þ<26¨ü/Deþ<2/2zþ<uJ:(CDI?92Pþ;mû 7XA(DþK¨þÜÿmûTSoþeü*54B2þeþ<6

86oþeü{ /9FÿC2EF56¥û2 ÿ¨þEQF /¨þJÿmûTSoþeüU 4 _X¥ü{QÿÂzþ2/2$6oþeüA4Fü/þUF8Qÿ¨þJþ[mþDeû9Fÿ

/93þJ^>@Fþü{%ý þH5@Fþüüþ6xþ>5$üû¨ÿ2{Q<T,9þ[56¥þ2dþüzþZüzûÿW ÿÊX$È þ;mû966oþ

(9/?GÍ`"8_XL*=]þeÿ/¥ûêx/xxB6¨üDeþ2/2Fü>

"3þ3D>5zþý8Fü¥þ2X546¨ü/"S¥þ32T2þeþð/ üþ;mû¥üzþ?2ûS-9@`92 ÿ¥ÿ59,¥üþD/9 ÿ2

þ;mû5991"4^Fü(¨þ2þKDE 2zþ2*þf8S2þeü/@ þ$ÿ356C6¨üzþD<s S¥þlþeüzþeÿCDeþK¥ÿ/¨þ û/6û, {

Sxþ<AþeþÿH/¨þGDFÿü/8$Qÿ?/þK¨þü/9@85@ þ3þ</2>(x³ÿW"/¨þü,DE 2zþ2pþÿ8Dþ/

(9)

VÑÏ ÊÌÏÖ)Ñ ÍÓÏ ÑGÕ×%ÙØ !ØÕØÌ!Í4ÙOÏ)ÐÒÔ !#"fÌ$%ÒØÌ ÍÕ

&'lÉ ()*,+.-0/ +,)12 3$4 +

&'65 ()*879+8- +,)1: 7$; 7)

&'6< ()*,+.-0/ +,)12 3$4 =

&'?> ()*,+.-0@ +,)

12

+$3$= A

&'6B ()*,+.-/ +,) 1 õC

=4 +

DEF5 (HG6+*,+.-0I +,) 1 õ/ +$7$4 7

DEJ> (HG6+*,+.-0I +,) 1 õ/ +$7$4 ;

K5%ÈMLtÏÕÒÕMN@ÌXÖ Ï,ÑÎÐÏ{ÐÖ)ÌX×Ï,lÕ

ÑÎÐÏ ÏÒÔÌÙ O PkÉ PQ5

&'lÉ M{×%ÏÖ ÌN×=ÌÏÕ 7)R3 +,;4 +;4

GØÖ)Ñ ÍÙÑÒÏÕÒÕ 7 + +

Ê1Ø lÏ )S)R7 )S)R7 )S)R7

&'65 M{×%ÏÖ ÌN×=ÌÏÕ =;4

´5¤E¡/<E/©5^

GØÖ)Ñ ÍÙÑÒÏÕÒÕ 7) T

^-/.U,¤*¤5´5^¡/¤B<¤5ÁWV

Ê1Ø lÏ )S +$7

&'6< M{×%ÏÖ ÌN×=ÌÏÕ 7$A=4 77AW3 77AR3

GØÖ)Ñ ÍÙÑÒÏÕÒÕ 7; 7) 7)

Ê1Ø lÏ )S7= )S7X )S7=

&'?> M{×%ÏÖ ÌN×=ÌÏÕ Y=)+ Y4+Z3 YWX;=

GØÖ)Ñ ÍÙÑÒÏÕÒÕ +$3 +$7 =

Ê1Ø lÏ ++S== +,)SH+Z3 ;SY=

&'6B M{×%ÏÖ ÌN×=ÌÏÕ 3R+,A+ 3R+,4+ 3R+,4+

GØÖ)Ñ ÍÙÑÒÏÕÒÕ 4+ 4R7 4R7

Ê1Ø lÏ )S;) )S;) )S;R3

D[EF5 M{×%ÏÖ ÌN×=ÌÏÕ 4WX)R3 4W3XR+ 4YR33

GØÖ)Ñ ÍÙÑÒÏÕÒÕ +,Y +,Y +,Y

Ê1Ø lÏ )SXX )SXX )S;R7

D[EJ> M{×%ÏÖ ÌN×=ÌÏÕ ;WX3= 3$;=W3 Y+$X4

GØÖ)Ñ ÍÙÑÒÏÕÒÕ 7X 77 77

Ê1Ø lÏ 4S)R3 79S74 79SA=

(10)

¨þeü@8 /9@Fþ(92pþIþD/9@ þ=¥ÿZüþ¨ûD¥ÿ¨ýG/þ,5@Fþü{59¨ÿmûTSoþeü$ 4US5[mþ2p/-5BQüzþ,6ü/Deþ22zþ

%ÿG/þÿmûTSoþeüU 4 _X¥ü{QÿÂzþ2/2Uüþ;mû¥üzþUt(þeüzþp927@ þeü/1f9/¥þlÒþeüþeÿDeþ*Sxþ<Aþeþÿ

/¨þT2û Qÿq5[9Zû @8%ü:%ÿ/2>Kt(þKþ/2dpþeüzþ3 92/Xzþ2zþ 4^Fü¹ü{%ÿýFþT54

2zûS-9@92/9Fÿo¨þ62EF(%ÿCg9K92GB ü/ ÿ"/¥ÿ¨ý/ KS1Hq V¸ÿývi2/X59$DIQÿ¨ýFþ8F(

ýFüþE5þeü@8%ü:%ÿDeþf¸ÿX¨þÜÿmûTSoþeü*54B_X¥ü{QÿTþ2/23J^Qÿ?¨þK93þ,I5V þeÿQ*Sxþ<Aþeþÿ

/¨þ< X>1XSxþ8S2þeü/@ þU

Î

þT ÿC8d6¨üzþ<2zþeÿT/þZüzþ2û9/2G¨þeüzþ"F$2/¥ÿDþ3/þ1WpFûC

üzþ;mû¥üþ,/"¥þeü{QÿDeþ2((9DITpFû9ÿ8$D<8¥ÿD9¨þ((9/T82þû2þ3¥ÿ ª

%ÿKUëi5t(¨þ

/93¥ÿ¨ý"2dD86%üþK82/91X4M>@8 û¨ü{ S91X/?82þ3üzþ<6 ü/zþ<S1 ª

Qÿ\Uë?FrS¨ûpþ

2/ û9 ÿ"zþX/-5T/þ36¨ü`Dþ2/2FüXDE56-5S999A1W>@859:5S¥þT)û2G923566ü/5[9q5þ91?%ÿ

Fü¨þeü, 47X%ýFÿCû¨þÂ4M52zþeü>

] ^W&0!,+ÿ/)*Ò./&$!*Ò

x³ÿT/92$6-56oþeüEF"þ(->@Fþp6¨üzþ2þeÿzþ?Â4û¨ü/¨þü} 6699DE5 ÿ54Rpþeüzÿ2zþ¥ÿþ[6%ÿ29FÿUrxA

92}Qÿ35@8Qÿ`I%ý þ(54U/C2p566¨ü` D{/ $D ÿ`¥ÿ¡û-d54U28¥û/9 ÿ2$DEQÿq592SxþþeÿD9"2zþU

Î

9/T9/2pü{Qÿ¨ýFþJþÿD982¸ÿýK6¨ü86oþeü/A1F"/¨þ*þeüÿ2/þ¥ÿX4^ ü/6ü/5@9¨þ2(%ÿ359þeüzÿ /9@Fþ(

/¨þaÿ%üü/5(¥ÿ¨ýT86oþeüI5/ ü/2Pû2þ?S13BQÿXLþeÿzþÿ¨ü/1DIV þd5A,JNEO8O"b8Q<FDI4{(PüI%ÿ@99¥þeü2

J^Æ"88"QF-3"2/(99VFþ912/6oþeþ¥ÿ¨ý ûC6?/¨þT5¥ý"Fü/9Ó6üzþ2þeÿzþH¨þeüzþ<¸ÿr

Ç

ÿW¨þG8/þeü

%ÿCUFd6¨üþ6¨ü/Deþ<2/2/¥ÿ¨ý2/þ6?52Uû2þXS1TB%ÿTLþeÿzþeÿ¨ü1D{Vþ(5ABJNEO"O8b8Q\2zþeþ2BKSoþ

üzþ;mû¥üþK¥ÿ ü/¨þüU/d>@8"û¨ÿ¨ÿ¨þ<Deþ2/2I%ü91X%ÿ1(S92zþ<D/9FÿC2\Qÿ¥ÿdFü¨þeü/, 66¨ü/5DI

/¨þf@`9D¥ÿ9A1T 47/þ=28¥û ÿ2JþEQü/9¥þeüE

_

Ña`EÑU%Ñr!,+RÑrÒ

b1ÑXÖ8c:ÌdefSÊgS d"!ÔOØÕÔÑdihfS jk+=YYRl.mÊ1ÔÏFn1Ï)ÖÍÕÒÏØÍoN@ÌXÖ8´ÌN ÑGÐ%ÌÚ!ÍÌ+ØÑpSoqSaLÏÕ,SrVÑ:Ò,S

n Ö$SM"ÒÑXÍÙÑXÖ)ÙÕ6"ÏÓÒ,Sn?d:ÌSiX)njÑ:ÒÔaSi"fÓ)ØS%l.ds+mX=$t;+

uÑ Ö)ÌvØd6L6SÊ6S dwLÑ$xÑXÍsd?yzSÊ6SMjk+,=;;Wl.m|{M c!Ì ÖØÒÔlÕQN¨ÌXÖÐ%ÌÚ!ÍÌ+ØÑEÕçØÍ}n1Ï)ÖÍÕÒÏØÍ}N@Ì Ö8QS

b1Ì+ÐÒÏÖ6{ØÙOÏÙreVÏÌlÏÒÖØÓf~ ÏÕØ cXÍ3Rm+8t7Y

u/ØÕÓÔÏ)Ö$dzS%b?Sjk+,==)Rl.mLÑ Íc:ÏtÓÌÎÐÒÑ:ÒØÌXÍÕ1ÑXÍÙ+ÑXÐÐØÓÑ:ÒØÌXÍ%Õ,SrÍams%ÖØÓÔsdb?SRj@ÏÙSl.mb1ÌXÍt

ÒÖØ×ÒØÌ ÍÕ{ÒÌ+ÓÌÎÐÒÏÖ ÑXÖØÒÔlÏÒØÓ+ÑXÍÙÕÏ.%Ntp ÑØÙÑ!ÒØÍcÍRÏÖØÓÑ[lÏÒÔÌÙOÕ,SiqS%b?Sn1ÑÒkÏÖ$d

{lÕÒÏÖ)ÙÑQdÐOÐsS?+=RXZt7R++

eVÑ ÖkÌdqSajk+=;YRl.mzb1ÌXÍ:ÏÖ8c!Ï)ÍÒu×%Ì$OÍÙÕgN@Ì Ö{ÒÔÏÎÖ)ÑXÍc!ÏÌNM6ÒØ Ñ ÖØÑ!ÒÏoÐ=ÌÚ!ÍÌÎØÑ$rÕ,SrÍam

ØÓvÏ.dJS j@ÏÙSl.mJrÍÒÏÖ8 ÑlÑ!ÒÔÏ,lÑ:ÒØÓÕQ+=;R3RSK"!ÐÖØÍc:ÏÖ$dwn1Ï)ÖkØÍ ÏØÙÏ.×%ÏÖ8c ÏËTÌ Ökvd

ÐÐaS4RX,tk3$YQj/ÏÓÒOÖ)ÏVÍÌ!ÒÏÕtØÍkÓÌÎÐÒÏÖ ÕÓØÏÍÓÏd:ÌSi79+$7l

eVÑ ÖkÌdsqSsjk+,==4Rl.mÊ1ÔÏ6nWÏÖÍÕÒÏ)ØÍÑ$ c!ÌXÖØÒÔQSi¨ÍÒÏÖ8 Ñb1ÌÎÐsS79mM+$3$At8+,Y;

(11)

Ï,Õ,SwLÏ.ØÑX×Ïb1ÌÎÐsSYm4)4tp4R7$)

eVÑ ÖkÌdqSHdetÖ)Ñ$Nkdn?Sjk+===Wl.m"fÌ$ !ØÍcgÕÒÖØÓÒTÐ%Ì$Ú!ÍÌÎØÑØÍÏ,ÑØÒØEÏÕV×ÚJn1ÏÖÍÕÒÏØÍ Ï,!ÐÑ Ít

ÕØÌ ÍaSi¨ÍsmQOÍÖ)ÌdzSj@ÏÙS%l.mÊ1ÔÏMÕÏÌNÕÚR{×%ÌØÓzlÏÒÔÌÙÕTØÍgÓÌXÍÒÖ)Ì$%ÕÚÕÒÏ,KÑ ÍÑ$ÚÕØÕÑXÍÙ

ÙÏÕØ cXÍsSMdÌXÍÙOÌ ÍadÐÐsSw4R7$=tp4R37

eVÑ ÖkÌdqSHd"RÎØÒÔsdM{fSSjp7))+$l.mrÎÐÖ)Ì:Ï,lÏÍÒÕÌ$N{ÑkÕO×%ÙØ !ØÕØEÌXÍt×ÑÕÏÙÑ c:ÌXÖØÒÔN@Ì Ö

ÕÌ$ !ØÍclÕÚÕÒÏlÕTÌ$NÐ%Ì$Ú!ÍÌÎØÑvÏ,Ñ:ÒØÌXÍÕ,dÒÌVÑXÐÐ%ÏÑ Ö1ØÍÒÔÏwÖ)ÌÓÏÏÙØÍc:ÕÌN%ÒÔÏw4XÖ)Ù#êÌ ÖkÙ

b1ÌXÍcXÖ)ÏÕÕÎÌ$Nw ÌXÍØÍÏÑ ÖF{tÍÑÚÕÒÕ,dqÚ+,=$tk7$YK7$)))db1Ñ:ÒÑXÍØÑd@ÒÑÚdÕÐ%ÏÓØÑ$ÕÏÖØÏÕ+ÌNWÒÔÏ

q!Ì$OÖÍÑÌ$NVÌ ÍØÍÏÑ Öz{tÍÑÚÕØÕ,dsÕÏ,!ØÏ)Ö#"fÓØS×S

etÖ)Ñ Í!Ø%%ØrÏÖ)Õ,dSjp7)))Rl.m ÊÌ Ë1ÑXÖ)ÙÕVÓÌÌ Ð%ÏÖ)Ñ:ÒØ !ÏlØÍÒÏÖ8 ÑÍÑ ÖÖ)Ì ËÞØÍcS¨ÍsmM Ö)ÌÓÏÏÙØÍc:ÕJ4XÖ)Ù

rÍÒÏÖÍaSêÌ ÖkvÕÔÌ Ð-Ì ÍuOÖ)Ì ÍÒØÏÖ)ÕlÌNbÞÌu×ØÍØÍc"ÚÕÒÏ,lÕ,duOÖ)ÌWb1ÌR"%7$)))dVÑXÍÓÚd[uOÖ)ÑXÍÓÏd

"!ÐOÖØÍc!Ï)Ö$dnWÏÖkØÍJ ÏØÙÏ.×%ÏÖ8czVÏËrÌXÖkvJjÏÓÒÖ)Ï ÍÌ!ÒÏÕ/ØÍlÑ Ö)ÒØÛÓØÑ$OØÍÒÏ8%Ø c!ÏÍ%ÓÏd!ÌSM+ZX=AWl

Mad[bTÔROÍtptØdsÑ!Ï.v:Ñ Ë1ÑdvÊgS ds"!ÔÏÖ×Ö)ÌÌvÏdMS%b?S dÑ!ÒÖØ%v:ÑÑ$vØÕ,dfSSjk+,==YRl.m6LÌ ×ÕÒuØÍt

ÒÏÖ8 Ñ$Ñ c:ÌXÖØÒÔN@Ì ÖVÓ8OÖ8:ÏVØÍÒÏÖ)ÕÏÓÒØÌ ÍÕ,Sb1ÌÎÐÒÏ)Ökt{ØÙOÏÙK~VÏÕØ c Í7$;mA=R3,t3)Y

qÑc!ÏÖ$db?SHdWLtÑ:Òkd~fSjk+,==R3l.m{aÓÌ{×OØÍÏÙQÏÒÔÌÙFN@ÌXÖWÏÍÓ.Ì!ÕØÍcGÑ$%ÕÌ%ÒØÌXÍÕVÌN%ÍÌXÍØÍÏÑXÖ

ÕÚÕÒÏ,ÕVÌNÐ=ÌÚ!ÍÌÎØÑ$1Ï,Ñ!ÒØÌ ÍÕ,dsLÏ.ØÑX×ÏFb1Ì+ÐaSM+mA+.tpYA

{ÏÑ ÖkN@Ì!ÒÒ,dL6Sn?SMjk+==YWl.mKL1Ø c!Ì Ö)ÌÕQcÌ ×Ñ${ÕÏÑ Ö)ÓxÔsmkÓÌXÍÒØÍRÌÕoÐÖ)ÌX×Ï,lÕ,d?%Ë1ÏÖ{VÓÑ:Ù S

O×S d~VÌXÖ)ÙÖ)ÏÓÔÒ?n1Ì:ÕÒÌXÍrÌXÍÙOÌ Í

VØÌ$ÕÒÏ.ØÙØEÕ,d6qSn?Swjk+=RX;Wl.mQ{M c!Ì ÖØÒÔÎØÓkÏÖÖ)Ì ÖÏÕÒØ lÑ:ÒØÌXÍ\N@Ì ÖlÑ ÐOÐÖ)Ì$!Ø lÑ!ÒÏkÕÌ%ÒØÌXÍÕGÌ$N

ÍÌXÍØÍÏÑXÖÕÚÕÒÏ,lÕVÌ$NÏ,Ñ!ÒØÌ ÍÕ,Sb1ÌÎÐÒØÍc|+,=m4+,4$tp4R7)

GØÖ)Ñ ÍÙÑdsb?Sjk+,=A+$l.mÍaÌ!ÕÕÏ)Ö8XÑØÌXÍÏlÕFÍÒÏÌ Ö)Ï,lÑlÙØsnTÖ)ÌË1Ï)Ö$S nWÌ%SwÍaSÑ:Ò,Sw@ÒÑS

"ÏÖ$S79d4m3ZtX

ÌÌ Ö)ÏdL6SMSHdVØÌÕÒÏ.ØÙØrÕ,dqSn?Ssjk+,=;)Rl.mM{]ÕØ +ÐÏlÒÏÕÒN@Ì ÖVÑ:ÓÓ.Ö)Ñ!ÓÚÌ$N1Ñ ÐOÐÖ)Ì$!Ø lÑ!ÒÏÕÌt

%ÒØÌXÍÕ{ÒÌÎÍÌXÍØÍÏÑ ÖQj@Ì ÖMØÍÏÑ ÖlVÕÚÕÒÏ,lÕ,S"{?¡qSlÏÖ$S{ÍÑ$S?+$XRm%379+8tk37=

Ì Ö8c!ÑXÍsdw{zSS jk+,=;RXl.m"Ì !ØÍcÐ%ÌÚ!ÍÌ+ØÑ+ÕÚÕÒÏ,lÕzÕØÍcÓÌ ÍÒØÍRÑ:ÒØÌXÍ}N@ÌXÖÏÍcXØÍÏÏÖØÍc

Ñ ÍÙÕÓØÏ)ÍÒØÛÓÎÐÖ)ÌX×Ï,lÕ,SMÖ)ÏÍÒØÓÏzVÑ$%dÍc$ÏË1ÌÌÙRtbØ%Õ,dsfSqS

Ï.ÑXØÏÖ$d{fSRjk+==)Rl.mrÍÒÏÖ8 ÑlÏÒÔÌÙOÕaN@Ì ÖÕÚÕÒÏ,lÕÌNÏ,Ñ!ÒØÌXÍÕ,SMb1Ñu×ÖØÙc:ÏMtÍØ !ÏÖ)ÕØÒÚ

Ö)ÏÕÕ,db1Ñu×ÖØÙc:ÏQjÍÓÚÓ8ÌXÐ%ÏÙØÑÌN[lÑ!ÒÔÏ,lÑ:ÒØÓÕ{ÑXÍÙGØÒÕÑXÐÐØÓÑ!ÒØÌXÍ=Õ8l

"!ÔÏ)Ö×OÖ)ÌÌ$vÏdMS%b?S dÑ:ÒÖØ%v!Ñ$ÑvØÕ,dfSSRjk+,==4Rl.mb1ÌÎÐÒÑ!ÒØÌ ÍÌN=ÒÔÏ1ÕÌ$%ÒØÌ ÍÕÌ$NOÍÌXÍØÍÏÑXÖ

Ð%Ì$Ú!ÍÌÎØÑÞÕÚÕÒÏ,lÕ,Sb1ÌÎÐÒÏ)Ö6{tØÙÏÙreVÏÌlÏÒÖØÓz~VÏÕØ c Í+,)m 4WX=$tA)R3

yÑXÍoVÏ)ÍÒÏÍOÖ)ÚÓkvdSHdÓ,{M%ÏÕÒÏÖ$dw~zSHd[{ÑXÐOÖ$d~fSwjk+==RXl.m"fÌ$ !ØÍcÐ%Ì$Ú!ÍÌÎØÑ+ÕÚÕÒÏlÕ

ÕØÍcgÑÎ×Ö)ÑXÍÓxÔkÑ ÍÙGÐÖkOÍÏ{ÑXÐÐÖ)Ì!Ñ!ÓÔsS"{?¡qSlÏÖ$S{tÍÑS4AmX=WXZtp;R7X

(12)

Ì Ö)Ï,QS Ö)ÌÓSw{?ÏÖ$SÑ!ÒÔsSM"ÌÓSM+,)WX9mX)+.tX)4

¢ÏÒÒÏÖ$dSHdeVÑ ÖkÌdiqSwjk+,==;Rl.mFLÌ ×ÕÒÍÏÕÕGÑXÍÑÚÕØÕgÌNÐ%Ì$Ú!ÍÌÎØÑÕË1ØÒÔ4Ð%ÌÚ!ÍÌ+ØÑ

ÐÑXÖ)ÑlÏÒÏÖ ÙOÏÐ=ÏÍÙÏÍÓÚÕØÍcn1ÏÖÍÕÒÏØÍÏ,!ÐÑXÍÕØÌXÍsSKÊ/Ö)ÑXÍÕ,S}{ÒÌlÑ:Ò,S£bÞÌ ÍÒÖ$S

A4mAR73,tpA4+

¢ÔÏd["SHd Ï.ÑXØÏÖ$d{zSjk+,=;;Rl.mM{aÍÌ!ÒÏ+ÌXÍrÌÌ Ö)ÏÕVØÍÒÏÖ8 ÑÒÏÕÒMN@ÌXÖÏÖ)Ì!Õ ÌNÍÌXÍØÍÏÑXÖ

ÕÚÕÒÏ,Õ,SMb1ÌÎÐÒØÍcFA)m;R3Ztp=)