UMI Number: ProQuest Information and Learning Company 300 North Zeeb Road PO Box 1346 Ann Arbor, MI

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1 ! " $#% & '( )#%*$ +, -. NOJ KSeZH t GuPRMZXkPvKEHxwYoSeZì`VUy`cbnz{eZH} ~ezno`_wkepvksh JZN\ ƒhg@i@n\k r 4 ³ ˆ < Qˆ 5 ŠCŠ 57>uŒŽ ;8Bu 9 6 v ˆ ˆ ˆ vˆ š$šaš$š š œ 9až 5CB =Ÿ>u=89 D 5C 9<;Ÿ6:5 =: S S E Lˆ ˆv >uœ25cdv>@=a5cbed ZBSŒ2Œ{5C=8=A9<9 ª >@;AŠC9 6y ˆv 9<D D5CD Ē=ABSDƒ V ZBu ±d 576:9²; >uœ29@6k ZB 9µ V ZBu ±d 576:9²; 9²;A y5cd 5 D S9²; 09@>@= 9²; 0ŠCŠ 9<D ««;AB@ 9@ a Rª ZBu ±d 576 9<; ZBu ±d 576 9<; 409<«v>@;A=8Œ{9<D=Bu ] 9<Œ2576:=8;A

2 UMI Number: UMI Microform Copyright 2002 by ProQuest Information and Learning Company. All rights reserved. This microform edition is protected against unauthorized copying under Title 17, United States Code. ProQuest Information and Learning Company 00 North Zeeb Road PO Box 146 Ann Arbor, MI

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4 œ ;AB >0D 9²=: ]BS; O vbedv 6k >u=89<;s BE;AŒ6i>0Š 5 57 d= >u=z576l9@6a6 9<D=A57>@Š=8BdŠC5 9]>uDv = 9 9<D 5 ;ABED Œ{9<D= ˆLœ 576 BS;8Œ>u=85CBSD$5 6D BE=k Š ŠC Dv 9²;?6:=8B B {BS; >u;?> =A9²;A5²9@ ˆ d6z>d;a9@6 ŠC=² >@D 9 =A9<D 6:5C 9Y cb BuŖ9 «v9<;a5 Œ{9<D=?>@ŠS>@Dv = 9<BS;89<=A5<>uŠ ;89@6:9@>@; >E6s v9<9²da 9< BS=89@ d=abd >u=89<; ˆ D = ;ADL B Š7 { v9n>ud{9 >S6:5 9<;y6 6 =A9<Œ = >ud y>@=a9<;]=ab Dv 9<;?6 =?>ud v9²> v6 9d= 9 Œ{BSŠ 9 Š 9@6 >u;89>u;8;?>@d S9@ {5 D{>;A5CĒ57 $«v9<;a5 B 50Š >u=8=a5 9 B@ 9< 9<;² S= 576k5 6 D BS=]= 9²>S6:9 ˆ BS;8Œ>uŠ 5 9 = >@= 9 >u;89qţ>uœ25cšc5 >u;] y5c= g >S6"!$#% ;A 6:=Ÿ>uŠ ŠC5CD9d«>E6:9@6>uŠ ŠLBS v6 9<;A 9 >u= 5'&R9<;89<D=y=89<Œ{«v9<;Ÿ>u= ;A9@6 >ud «;89@6A6 ;A9@6 ˆ 9( ;A 6:=Ÿ>uŠL6 =A; ) = ;A9@6 >u;89 B Dv =AB >< 9«v9<;A5 B 5dŒ{BEŠC9 ŠC9@6 S= 9²;A9 BE;A9 5C=]576 9<;8 $5CD=A9<;89@6:=85CD BS;y= 9<;A9 =AB$9 576 =y>a 576 BS;? 9<;5 D = 9<5 ;BS;85C9<D=?>@=A5 BSDv6 ˆ =A;89<Œ{9<Dv B* v6 >uœ2b* D=B@ v«;8bs S;89@6A6 >E6 v9<9<d$œ>e 9Z5CD( Dv 9<;Ÿ6:=Ÿ>uDv 5 D d= 9«6:5²>uŠ«;ABE«c9²;A=A5 9@6LBuŖ5 9µ u + = = 9<;A9$5 60 BE; g 9<= =AB v9%²>u;a;85c9@ B = ˆ ž, ;d9 «c9²;a5cœ29<d=ÿ6y6 B@ > Š >u;8 S9<; E>u;857>u=85CBED}9 576 =?6 v9<= 9<9²D 9 O.-Qž ) BS«v9@ V Y>uDv Q ZŠ] BS«v9@ g5 9 6 ˆ/ D}= «5<>@Š Š7>@ vbs;?>@=abe;a 6A>uŒ2«ŠC9@6 Bu 9 O 0-žd - BS«v9@ BE;n Q ZŠ BS«v9@ g5 9= 9<;A9$9 576 =?6 >{ 9<=89 =Ÿ>u Š 9$>uŒ2B* D=0B@ ];ABS=Ÿ>u=85CBSD >uš Œ{BE=A5CBED= >u=d5 6d6:9²9<D 5C 57 Š {5CDg= 9 6 «v9 =A;Ÿ> ˆ 0Š76 B BSŒ2«v>u;Ÿ>u=A5 9n6:= 5C9@6 BSDg«+ ;89 >ud BS«v9@ 5 9@66 B@ 6k= 9d«;8B1 9@6A6ĒB@ 9<;AD 5 D 2465;89<Š7> >@=A5CBED{576]>6 5CD ĒŠC9 «;ABE=ABSDŒ{BE=A5 BSD ˆ ž S9<D!7576k«vBE=A9<D=A5 >ušcš {> 9²;A $9&R9 =85C 9y=8B BSŠV BS;yBE =?>@5CD 5 D $5CD BS;AŒ >u=a5 BSDa5CD=ABn= 9@6 9 6: 6:=89<Œ6 ˆ$œ 576d5 6 v9²> v6 9 = 9% B* «Š 5CD 8 BSDv6 =?>@D= BS;B S9<D6 B* Š7 } v9a 9<;A ~6:9<Dv6 5C=85C 9 5C5

5 =AB D «T9<ŠC9 =A;8BSD+ 9²Dv6:5 =: µ 6:Bg= >u= ;ABE S9<D+ vbsdv 5CD ḡ5 D BEŠC 5CD = 9 Š BSD 92«v>u5 ; 9<Š 9 =A;8BSDv6Z6 B* Š { c9 ;A9 v9 =A9@ $5CD2Š7>u;8 S9 >@D S9@65 D{= 9 B* «ŠC5 D BEDv6:=Ÿ>uD=y>@Dv >udv>@šcbsēb* v6 =AB = 9aB S9²D!76 «5CD TŠ7>@=A=85 9a;A9<Š > >u=85cbsd=a5 Œ{9@6 ˆ gœ2bsd 5 =ABS;85CD 2465>E6$> D) =85CBSD Bu =A9²Œ{«v9<;?>@= ;89$>uD } BE«v>uD= BSD) 9²D=8;?>u=85CBEDg S>@Š v>@ ŠC9$5 D BS;8Œ>u=85CBED>u vb* = B@,= 9a5CŒ{«;A5 =A5 9@6> &R9 =«;8BS=8BSD ;89@>u;8;?>uD S9<Œ{9²D=Ÿ6d>uDv >* =85C E>u=85CBSD 9<D 9<;8 S5C9 60BS =Ÿ>u5 D 9@ ˆœ 9 6:9a y5cšcšy S5C 9 E>uŠ v>u Š 9$5CD BE;AŒ>@=A5 BSDg>@ vb* =n= 9nDv>u= ;A9aBu ]= 9@6:9$ E>u;85CB v6 9 9 = Œ{BE=A5CBEDv605 D= 9a BS«v9@ 5 96: 6:=89<Œ6 ˆ 5C5 5

6 / /! 0Š 5 5 > ˆ 5C

7 ! "! žy = 9gD1 Œ{9<;8B* v6/ BSŠ ŠC9@>@ * 9 6{>uDv _ ;A5 9<Dv 6a B>S6A6 576 =A9@ _Œ{9 = ;8B* = 9g 9@>@;?6 B Š7 9 6:«v9 5 >ušcš ŠC5CD9=AB2= >@D+ ;ABu 9 6A6:BE; 9<= ˆ 9<;AD >u;? } 9<;Ÿ6:=89<5CD Bu y= 9a409<«>u;A=8Œ{9<D= Bu 9<Œ{5 6:=A;8 >u= Bu > =?>@=A9 0D 5 9<;?6 5C= i B ;?6:=$5 D=8;AB 9@ Œ{9{=8B}= 9{Ţ>S6 5CDv>@=A5CD BE;AŠ B@ BEŠC57 =Ÿ>u=89 ˆ 05 6 R>u5 ; BS;26 5 9<D) 9 >udv >u 5 ŠC5C= =AB ;A5 D ḡ= 9 D=Ÿ>u««v9@ «vbs=89<d=857>@š Bu i9< 9²;A n6:= v 9<D= =AB= 9 BE; ;ABSD= >S6 v9<9<d2>uda5cd 6:«5 ;?>u=85cbedj BE;kŒ29 ˆ ]B* Š jš 5 9 =AB = >ud+ ;8Bu 9@686:BE; 5CŠ ;?>@Dv 5 D 9<=A=85p BE; 576i>S6A6 576 =?>ud 9y5CD 9<ŠC«5CD ȳœ{9 Dv 9<;Ÿ6:=Ÿ>uDv 5 D d= 9 Œ{BE;A9$ 5 8 ŠC= >E6:«v9 =Ÿ6dBu ]Œ>uĒD 9<=85d;A9@6 BSDv>@D) 92>uDv BE; 5 6d>S686:576 =?>@D) 92>u=d= 9$ v9< S5 D D 5CD >ud 9<Dv B@ iœ Ē;?>S 1 v>u=89"²>u;a9²9<; ˆ B Š7 a>uš 6:B$ŠC5 9=8B S5 9d>n6:«v9 5 >ušv= >ud+ 6k=8B ;AB@ 9@6A6 BS; ³ >uœ29@6 ˆ ZB 9QB@ i= 9 409<«>u;A=8Œ{9<D=ZBu Z 9<Œ2576:=8;A >u= œ 9ž 5CB =?>@=A90D5C 9<;Ÿ6:5C= ˆ 09 >S6 v9<9<d>@d{9 9<«=85CBEDv>uŠvŒ{9<D=ABE;Z>uD 2 ;85C9<D jb@ 9<;Z= 9d 9@>u;Ÿ6 ˆ 0576 BSD=A5 D 9 >@Dv 4 D y>< 9<;85CD 6 ««vbs;a= 576y5CD E>uŠ v>u Š 9 ˆ ]B* Š ŠC5 9d=ABa= >ud+ 6 ;8Bu 9@686:BS;n >u;8šc9@6y ˆv 9<D D 5 D S=8BSDL Œa ;89@6:9 >u; >S 576 BS;² BE; 5 6 vdv>ud 57>@Ši6 ««vbe;a=>@dv ĒB B Œ2BS;A9 {6:«5 ;A5 == ;AB* = 9Q 9 >u;?6 ˆ B 6 =05 Œ{«vBS;A=Ÿ>uD=AŠ Œ/ v6:=zb&r9<; >$6:«v9 57>uŠL= >ud { B* =AB240; ˆ «5C;857 B Š7>$ g>@=?6 5 E> BE; 9<; Dv>u >u=a9 }6 ««vbs;8=< v;?6 =n>s6>{ 9@>@;0 ;A5 9<Dv g>@dv }6 9 BEDv ŠC >E6Q> Š >S686:Œ>@=A9 ˆ >E6:=< L + =

8 D B* Š7 Š 5 9d=8B{= >ud+ R V4 ;?6 ˆ - ˆ BS;8D ³ ˆ g>* V )- ˆ yˆ Ź9<;8Œ{5CŠ ŠC5 BSDL vˆ = 9<5C; 6 ««vbs;8=0 vbs= >E6, BEŠCŠ 9@>u 9@6y>uD Œ{Bµ6:=5 Œ{«vBS;8=?>uD=AŠ j ;85C9<D 6 ˆ BE; 5

9 " ž / 9< ; v>u;8! 7 ˆ<ˆ<ˆ<ˆ<ˆ²ˆ BS;8Dj ->S686A>uŠ > v >@D! ˆ²ˆ<ˆ<ˆ<ˆ<ˆ²ˆ<ˆ<ˆ<ˆ ˆ<ˆ<ˆ ˆ<ˆ<ˆ<ˆ ˆ d>@;a;8bu B BEŠO v 57 ŠC9@6 9 D SŠ >udv! ˆ²ˆ<ˆ<ˆ<ˆ<ˆ²ˆ<ˆ<ˆ<ˆ ˆ<ˆ<ˆ ˆ<ˆ<ˆ<ˆ ˆ ˆ vˆ Bu > =?>@=A9n0D 5 9<;?6 5C= Œ{9@6 B@ y>! ˆ²ˆ<ˆ<ˆ<ˆ<ˆ²ˆ<ˆ<ˆ<ˆ ˆ<ˆ<ˆ ˆ<ˆ<ˆ<ˆ ˆ ˆ vˆ œ 9$ž 5CB =Ÿ>u=89$0D 5 9<;?6 5C= ZBEŠ Œa + v6 ž 5CB! ˆ²ˆ<ˆ<ˆ<ˆ<ˆ²ˆ<ˆ<ˆ<ˆ ˆ<ˆ<ˆ ˆ<ˆ<ˆ<ˆ ˆ D =A9²;ADv>@=A5CBEDv>uŠ B BEŠLBu 6 5<6 ]>u;89<d Dv> =Ÿ>uŠ! j ;89@6:9²D= ˆ<ˆ²ˆ<ˆ<ˆ<ˆ<ˆ²ˆ<ˆ ;?>E v>u=89 9@6 9@>u; d686:b1 5 >u=a9µ œ 9$ž 5CB =Ÿ>u=A9n0D5C 9<;Ÿ6:5C=! ˆ ˆ ˆ >ud BS;² ³ ˆ ˆ g>@;a=85cdv >@ŠC9,ˆ ˆ 0;8B@ 9@6 ž ˆ ˆ d >S6 9<ŠC9< R ˆ ˆ 9<D D 5 D ū =8BSDL iˆ, ŠC=Ÿ6 Y>uDv ³ ˆ iˆk Œ25C=? 05 +œ 9<Œ{«v9<;Ÿ>u= ;A9 65 ž.>udv!#"%$!'&? Bu y>)( 5+*-, /. 6:5<>uŠ 9< 5C9< #4!! Ÿˆ 576#8:9<;>=?@ ACBD;FE g> GABS; 5C9<Š Vªk 9²Œ{576 =A;A 5C5

10 /d! /, / " œ 9a;?>u;89 Ē9<D 5 v6d y5c= > R>@5C;d BS;;89@6:9@>@; y5cš Š D BS= v9<d 9 v=d ;ABSŒ 5CDv6 =A; ) =A5 BSD5CDg= 9 Œ{9<= B 6LBuŖ;A9 6:9@>@; Lˆ 0B@ 9< 9<;² <Œ{B 6 = ]B* Š p T c9y;89@6:9 >u; 9<;Ÿ6L>u;89yD BS= Ē9<D 5 v6:9@6i>ud 6 B* Š D BE= ;A9<Š dbsd$= 9y y>e6:=89 ŠŒ{9<= B 6sB@Ŗ«c9²;?6:BEDv>uŠ9 «v9<;85c9<d 9Z=ABd9<D >ud) 9= 9<5C;i«;AB 1 ) =A5 5 = ˆ B 6 = B* Š7 p T v9{;a9@6 9@>u; 9<;?60;89 5C;89 * 57 >@D) 9a5CD= 9a>@;A=B@ y;89@6:9@>@; Œ{9<= B BSŠ BSĒ5C9@605 D BS;Ÿ 9<;y=8B 9²ŠC«= 9²Œ v9 BEŒ{9d«;8B ) =85C 9n>u= >@D9@>@;AŠ 5C9<; 6:=?>@ S9n5CD= 9²5C; ²>u;A9²9<;?6 ˆ 5C5 5

11 5 0 v6 =A;Ÿ>* = ˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 409@ 5<>@=A5CBED ˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 5C 5C5 œ œ DBu yš 9@ ĒŒ{9<D=?6 ˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ d5 =?> ˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 5 D 5C=857>@Š 9<Œ>u; 6 ˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 5C5 576 =ybu >u ŠC9@6 ˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 5C =ybu >u ŠC9@6 ˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 5C 576 =ybu 5C * ;A9@6 ˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 5C 576 =ybu 5C * ;A9@6 ˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ >@«=A9<;Ÿ6 ª 5

12 ! ˆ D=A;AB 1 ) =A5 BSD ˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!! ˆ! D=A;8B ) =85CBSD ˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!! ˆ 9 O ˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ! ˆ # 4 BS«v9@ 9 6 ˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 7! ˆ # ˆ! -Qž,40BS«v9@ 9@6 ˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ! ˆ # ˆ Q ZŠi40BE«v9@ 9@6 ˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ! ˆ! ˆ!! ˆ ˆ # ˆ 9 9 ˆ ˆ! 9 ˆ > # ˆ ˆ! œ # ˆ ˆ œ ( ˆ 4 B 4 ˆ 4 ˆ! 4 4 ˆ 7 > D B ˆ ˆ ˆ ˆ ˆ ˆ ˆ # ˆ ˆ # ˆ ˆ # œ 9n, Œ Š 9d 9² S5CDD 5CD µ6 ˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 576:=8BS;85<>@Šž 9<;A 5C9² ˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ g>@ SD 9²=A5 ;ABE«v9<;A=85C9@6B@ ) Š 9<5 ˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ! «5CD D5CD ŠC9<5 Dv 9²;y= 95CD ) 9<D) 9dBu ]>$ g>@ SD 9²=A5 v9²š7 ˆˆˆnˆQˆnˆˆ! 4 œ «c9²;a5cœ29<d= ˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!7 409<=89 =85CBSDB@ = % 5 SDv>@Š ˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ S 9<Š >u=a5 BSD 9<D BEŒ{9<Dv> ˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ «5 D >u=a=85 9 9<Š7> >@=A5 BSDL ˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ «5 D «5CD 9<Š7> >@=A5 BSDL ˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 4,>@Dv «5CD ˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ ˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ ˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 9<Š 9< E>uD= >uœ{5 ŠC=ABED 57>@Dv6 ˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!v9<9<Œ >ud d>@œ{5cš =ABED 57>@D ˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 405 «cbeš7>@;d d>@œ{5cš =ABED 57>@D ˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 9<Œ25<>@Š µ 5 = d>@œ{5cš =ABED 57>@D ˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ ŠC9 =A;A5 v>s 1 v>u«vbsš >u; >uœ{5 ŠC=ABED 57>@D ˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ >S 5 B ;A9 9²D) a d>@œ{5cš =ABSD57>uD ˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ

13 ˆ D BE;AŒ>@=A5 BSD{BE =?>@5CD 9@ y5 = ;A9 6:«v9 =y=8b 9 ˆˆˆˆˆˆnˆQˆnˆˆ #! ˆ ˆ! œ ;A9<Š > >u=a5 BSD >ud Œ{BEŠC9 Š7>u;] Dv>@Œ{5<6 ˆˆˆˆˆˆˆˆnˆQˆnˆˆ #! ˆ ˆ 9@>E6 ;85CD œ ª D 9<;Ÿ6:5 BSD 9 B@ 9<;8 «v9<;a5 Œ{9<D= ˆˆˆnˆQˆnˆˆ # ˆ œ # ˆ! # ˆ! ˆ! # ˆ! ˆ 4 # ˆ! ˆ # # ˆ! ˆ œ # ˆ! ˆ 7 # ˆ! ˆ 4 ž 7 # ˆ! ˆ 7 # ˆ! ˆ # ˆ! ˆ # ˆ! ˆ! 4 «c9²;a5cœ29<d=ÿ>uš 9 D 5 9@6 Œ2«ŠCB@ 9@ $5CD= 576y405 6A6:9²;?>u=85CBED ˆˆˆˆˆˆnˆQˆnˆˆ «v9<;85cœ{9<d= ˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ g>uēd 9<= ˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ ;ABE c9a Z5C; 5C= >udv 409@6 5C SD ˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ % «c9 =A;8BSŒ{9<=89<; ˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ B@ 9<Œ{«v9<;?>@= ;89 6:=89<Œ ˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ *# Š <D) 9 60=85CŠC5 <9@ ˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 65 9<D;A5 9@ 9 ;A9<«v>@;?>@=A5CBED ˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ ž65 9<D;A5 9@ /-Qž, BS«v9@ 9@6 ;89<«v>u;Ÿ>u=85CBSD ˆˆˆˆˆˆnˆQˆnˆˆ 65 ž 9<D;A5 9@ a Q BS«v9@ 9 6 ;A9<«>u;?>@=A5 BSD ˆˆˆˆˆˆnˆQˆnˆˆ «v9<;85cœ{9²d=ÿ>ušl ZBSDv 5C=A5 BSDv6 ˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 4d>@=?> ;8B1 9@686:5CD ˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ ˆ œ 9 4 ˆ! 4 ˆ ˆ ˆ! ˆ ˆ 4 ˆ ˆ # ˆ # ž65 9<Œ{«v9<;Ÿ>u= ;A94 9<«v9<Dv 9<D 9dBu œ 5CD 9@6 >u«v9@6y5cd 9 O >ud 40BE«c9 9@6 «v9<;a5 Œ{9<D=?>uŠ >@;?>@Œ{9<=A9²;?6 ˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 9@6 ŠC=Ÿ6y>uDv v6a6 5CBED ˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 4*# 9 O ˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 4*# Q ZŠi40BE«v9@ 9@6 ˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ -Qž,40BS«v9@ 9@6 ˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 44 ZBEŒ{Œ{9<D=?6 BED ŠC5 D 9< y57 = ˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 4 ˆ ž65 œ œ 9<Œ{«v9<;?>@= ;89409<«v9<D 9<D) 95 D 9 ± >@Dv 40BS«v9@ 9@6 ˆˆˆˆnˆQˆnˆˆ 7# 5

14 ˆ! B 6A6 5C Š 9 9<Š > >u=85cbsd 9 >@D 576 Œ6 ˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 7# ˆ «v9<;a5 Œ{9<D=?>uŠ >@;?>@Œ{9<=A9²;?6 ˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 7 ˆ # 9@6 ŠC=Ÿ6y>uDv v6a6 5CBED ˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 7) ˆ # ˆ! 9 O ˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 7)4 ˆ # ˆ Q ZŠi40BE«v9@ 9@6 ˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ ˆ # ˆ # -Qž,40BS«v9@ 9@6 ˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 4 ˆ 4 ˆ! 4 ˆ! ˆ! 4 ˆ! ˆ 5 Dv>uŠ 9<Œ>@; 6 ˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ ZBED) Š v6:5 BSD ˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 5CD96 >u«v9a ZBSD) Š v6:5 BSDv6 ˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 9<Š7> >@=A5CBEDg ZBSD) Š v6:5 BSDv6 ˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 4 7 ˆ œ 99&R9 =?6Buķ O vbedv >@;A;?>@D S9²Œ{9<D=BSD = 9n6 =?>u 5CŠC5 = B@ 5 9 ˆˆˆˆˆnˆQˆnˆˆ 7 7 ˆ! D=A;8B ) =85CBSD ˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 7 7 ˆ ;89< 5 B* v6 œ 9<BS;89<=A5<>uŠ BS; {BSD 9 O ˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 7 ˆ # 9²= B v6:9@ {5 D = 576 ]BS; Vª 9²;A5CB 5 #<>uš Š7>@=A5 BSDv6 ˆˆˆˆnˆQˆnˆˆ 7 ˆ 6:5CDā }ž S E S =AB2 B 9<;A5 B 5 ]>uš Š7>@=A5CBEDv6 ˆˆˆˆˆˆˆnˆQˆnˆˆ 7 ˆ 9@6 ŠC=Ÿ6 ˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 7 7 ˆ 4 ZBED) Š v6:5 BSDv6 ˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 0««v9<D ª ˆ 409²Dv6:5 =: g>u=a;85 BS;AŒ >ušc5 6:Œ ˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!!*! ˆ! 4 9<Dv6:5 g>u=8;a5 7 BS;8Œ>uŠ 576 Œ ˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!!*! ˆ BEŠ =85CBSDB@ ]409<Dv6 5C= 2 g>u=a;85 ˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!! # 5C5

15 ˆ ZB 9<;A9²D) 9 œ ;Ÿ>uDv6O 9<; >u= > 6y>uD >E6:9a Z + Š 5 D ˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!! 4 ˆ! ZB 9<;89<D) 9 œ ;?>ud 6± 9<; >u= >< 6 : œy ˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!! 4 ˆ >E6:9a Z + Š 5CD ˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!! ˆ # ZB 9<D 9²;A9<D) 9 œ ;?>@Dv> 9<; >u= >< 6Z>uD >S6 9 Z + ŠC5CD BE; B 9 9<D) 9!! ˆ ZB 9<;89<D) 9 œ ;Ÿ>uDv6O 9<; >u= >< 6>uD >S6 9 Z ŠC5 D { BS; D 9²;?6:5 BSD 9 Bu 9²;A 9 9<D) 9 ˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ! S 5C ŠC5CBE S;Ÿ>u«ˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ! 5C5 5

16 5 *# 7 ˆ "!$# "% ('& (% ) * ('& +, %+ˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ *# 7 ˆ # "!$# "% ('& (% ) * ('& +, %+ˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 7 ˆ -/. +, 0,1+,2iˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 7 ˆ -/. +, 0,1+,4 56 2gˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 5C

17 5 57 +! ˆ! 9 O y5c= ;8 6 =?>@Š ±> 576 d=ab{«š7>ud9$bu ]«v>uē9 ˆ ž «v9<d 5 ; Š 9@6y>u;89$B S9<D >u=8bsœ6l>@dv " ŠCB 6 9@ d6 Œ>uŠ ŠC9<;vBSD9@6 ;ABE S9<Dv6 îœ 9ZŠ7>u;8 S9ZBS«v9<D 5C; ŠC9 6 B =AŠ 5CD 9 = 96 Œ>uŠ ŠC9@6 = D5C= 9<Š Š ˆ ˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ #! ˆ 9 >S6 9 57>uĒ;?>@Œ 6 B@ y5cd ā= 9Q E>@;A5CB v6y«>s6 9@6yBu Y5 9 ˆ ˆˆˆˆnˆQˆnˆˆ! ˆ # œ 9<=A;Ÿ> 9@ ;?>uš. B BS;Ÿ 5CD >u=a9 >u=89<;œ{bešc9 ŠC9] y5c= 2 ;ABE S9<D2 cbedv 6 9<D BE=A9@ y5c= BE=A=89@ ŠC5 D 9@6L>uD B@ S>@ŠC9<D=L vbsdv 6k 9<D BS=89@ Q y5 = 6:BSŠ 57 ŠC5CD9@6 ˆ ZB@ E>uŠC9²D= ;8BSĒ9<DB Ē9<D cbedv! ˆ d>udv ;8BS S9²D vbedv Š 9<D S=! ˆ ∈! ˆ ;ABE«cBµ6:9@ g6 =A; ) = ;A9Bu 9 y5c= ;8 6 =?>@Š ±> 576 0=8B$«v>uĒ9 '! )# ˆdˆˆ! ˆ Q ZŠL5 D) BS;8«vBS;?>@=A9@ 5CD=AB$5 9dŠ7>@=A=85 9 ˆ ˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ! ˆ 4 GA9<;8; Œ. 9 9 =?6 ˆ ˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ! ˆ 7 -Qž 5CD) BS;A«vBE;?>u=89@ 5 D=8B 9Š7>@=A=85 9 ˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!

18 6 Œ! ˆ ]>uš BS;85CŒ{9<=8;A59 «c9²;a5cœ29<d=ƒ6 y5 D d9< 57 9²D) 9ZBuŖ«>E6:9y=8;?>uD 6:5C=85CBED ;ABSŒ,5 9 O =ABa5 9 #! ˆ ˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!*!! ˆ ( ž >udv Q ZŠV«>S6:9 57>@ S;Ÿ>uŒ # 7 ˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ! # ˆ! «5 D D 5 D D ) ŠC9<5 O> 5 D$= 9 >u;8= >u SD9<=A5 v9<š $>udv \ 5 Da>uD{9 =89<;ADv>@Š Œ>@ SD 9<=85 9<Š7 ˆvˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!7 ˆ ) ŠC9@>@;v9<9<Œ>@Dg6 «ŠC5 =A=A5 D 60 BE; ( y5c= ;A9 6:«v9 ==AB9 =A9²;ADv>@Š Œ>uĒD 9<=85 v9<š 6:=A;89<D Ē= LĝˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ! ˆ #v9<9<œ >ud{š 9< 9<Š76 BE; ( ˆ ˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ! ˆ >u;ÿ>s >< 9<=89 =ABE; y5 = 6A>@Œ{«ŠC9 O> v9 BS;89 ; ˆ ˆ 5C;8;?>E 57>@=A5CBED TD B}9²Œ >@Dv \ >< =A9<;y; ˆ ˆ >@««Š 5C9@ V =8;?>@Dv6: 9<;Ÿ6:9Œ>@ SD 9<=85@>@=A5 BSD{«;8B ) 9 69<Œ ˆ ˆnˆQˆnˆˆ! ˆ Ź9 =8BS;a«5 = ;A9 Bu 6:«5CD TŠ7>@=A=A5 9;89<Š7> >@=A5 BSDLª> j 5 ŠC5C ;A5 Œ Œ>uĒD 9<=85@>< =A5 BSDL L BE=?>u=85CBED}B@ y9 5CŠ 5C ;85 Œ.! i>udv œ 9$;89@6:=8BS;85CD Bu = 9 Œ>@ SD 9<=85@>@=A5 BSD{=8B 9 5 ŠC5C ;A5 Œ ˆ ˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ ˆ 4 Ź9 =8BS;y«5 = ;89dBuķ6:«5 D 6 «5CD;89<Š7> >@=A5CBED ˆ ˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 4 ˆ 7 ;A9<9 Dv =A5 BSD 409<>< 4 «+ Š 6:9n6:9 9<D 9 ẐˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 7 ˆ d> D Ba«+ Š 6:9n6:9 9<D 9 ˆ ˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ ˆ D 9²;?6:5 BSD{;89 B@ 9<;8 y5 = d> D B$«+ Š 6:9n6:9 9²D) 9 ˆ ˆˆˆˆˆˆnˆQˆnˆˆ # 5

19 ˆ! «5 D TŠ7>u=8=A5 90;89<Š7> >@=A5 BSDa5CD 9<;?6 5CBSD$;89 B@ 9<;8 " ;A 9 v=z y5c= 5 ŠCŠC5 >uœ6o >u=8= D) =A5CBED ˆdˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ # ˆ! O> 0 5CD ĒŠC9;A9@6 BSDv>@D) 9 «;ABE v9$>ud \ 5 ; 5 = ˆ ˆˆˆˆnˆQˆnˆˆ 7 # ˆ ŠCB1 5 >uē;?>uœ B@ Z= 9 6 «c9 =A;8BSŒ{9<=89<; 6:9@ { BS; 9 «v9<;85cœ{9²d=ÿ6 5 D= A6:9²;?>u=85CBED ˆ ˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ # ˆ # ;8;A9<D=y 6 ˆ ŹBSŠC=Ÿ>uĒ9$ 5 >u S;Ÿ>uŒ BE;d6 5CD ĒŠC9n>uD ;AB CB 9 ˆˆˆˆˆnˆQˆnˆˆ # ˆ ³ >ud576d Z;A B 6 =?>@=d>@šcšvœ29@>s6 ;A9<Œ29<D=Ÿ6 5CD5CD) 9@6 ĝˆˆˆˆˆˆˆˆˆˆˆnˆqˆnˆˆ # ˆ œ ;?>ud 6± 9<; ŠC5 D 9>uŠ ŠLŒ{9@>E6 ;89<Œ{9<D=?65 D5CD) 9@6 ˆˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 4 # ˆ 4 O> Z9²D=8;?>uŠ =8;?>@Dv6:5 =A5CBED ˆ. D 9<;Ÿ6:5CBEDd;A9 B@ 9<;A >udv 9 B B 9<;A9<D 9Z=A;?>@Dv6± 9<;«v>@= y>< BS;= 9?ˆ ˆ 6 9 9<D) 9 9²9<«>uŠ Šk= ;A9²9$«+ Š76 9@6>uDv g BS;= 9 9 B 6:9 9<D) 9 ;89<Œ{B@ 9{= 9 v;ÿ6:=a«+ Š 6:9 ˆ >S6 9@6{>@;A95 9<D=A5<>uŠZ BS;{ vbs= 6:9 9²D) 9@6 ˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ ˆ! 2 5 ŠC5 D 9 ±6 >@«c9 6 B@ 9 O BE =?>@5CD 9@ >u=@ ˆ œdŷœ 9g ŠCŠ 9 B 576 >*$ 5 ;A9@ R B@ 9< 9<;]= 99 B$5 6ŠC9 = 6 5 =A9@ >ud BSDŠC {= 9 4 «;8B1 9@6A6 9@ ˆ # E S QB@ 9 «vbsd9<d=857>@šl ;ABµ>S 9<D5CD ā576y>e 9@ ˆ ˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 4 ˆ 5 ˆ ˆ B 9 ˆ # ˆ 2/ ŠC5 D 9@6 >u«v9@6 Bu n Q ZŠ O5 9yBS =Ÿ>u5 D 9@ {>@= œdˆœ 90 ŠCŠ 9 576i>*$ 5 ;A9@ R B@ ]9< 9<;L= 99 B 576LŠC9 =i6 5 =89@ >@Dv BSD Š = 4«;8B1 9@6A6 9@ E S QB@ 9 «vbsd9<d=857>@šl ;ABµ>S 9<D5CD ā576y>e 9@ ˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 44 5C5

20 ˆ # 2/ 5 Š 5CD 9 6 >@«c9 6Bu Q ZŠ T5 9yBS =Ÿ>u5CD9@ >@= ˆ œdˆœ 9y ŠCŠ9 Bd576 >*$ 5 ;A9@ R B@ 9< 9<;]= 99 B$5 6ŠC9 = 6 5 =A9@ >ud BSDŠC {= 9 4 «;8B1 9@6A6 9@ ˆ # E S,B@ Z9 «cbed 9<D=A5 >ušv ;AB >E 9<D 5 D ā576y>s 9@ ˆ ˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 4 7 ˆ 2/ 5 ŠC5 D 9 6 >@«v9@6kb@ -Qž O5 9BE =?>@5CD 9 >@= 7 œdˆ œ 9y ŠCŠ9 Bd576 >*$ 5 ;A9@ R B@ 9< 9<;]= 99 B$5 6ŠC9 = 6 5 =A9@ >ud BSDŠC {= 9 4 «;8B1 9@6A6 9@ ˆ # E S QB@ 9 «vbsd9<d=857>@šl ;ABµ>S 9<D5CD ā576y>e 9@ ˆ ˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 4 ˆ 2/ 5 Š 5CD 9@6 >u«v9@6zbu ˆ $ -Qž O5 9 BS =Ÿ>u5CD9@ {>u= 7 œdˆœ 9d ŠCŠv9 B 576i>*$ 5 ;A9@ R B@ ]9< 9<;L= 99 B 576LŠC9 =i6 5 =89@ >@Dv BSD Š = 9 4«;8B1 9@6A6 9@ ˆ # E S QB@ 9 «vbsd9<d=857>@šl ;ABµ>S 9<D5CD ā576y>e 9@ ˆ ˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 4 ˆ ŠC5 D 9@6 >u«v9@6 Bu ˆ #n -žd y O5 9BE =?>@5CD 9@ a>u= 7 œdˆ œ 9 ŠCŠ 9 B 576i>*$ 5 ;A9@ R B@ ]9< 9<;L= 99 B 576LŠC9 =i6 5 =89@ >@Dv BSD Š = 9 4«;8B1 9@6A6 9@ ˆ # E S QB@ 9 «vbsd9<d=857>@šl ;ABµ>S 9<D5CD ā576y>e 9@ ˆ ˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 7 ˆ 7 2/ 5 Š 5CD 9@6 >u«v9@6b@ ˆ -Qž T5 90BE =?>@5CD 9@ >@= 7 œ 9@6:Š > Ẑœ 9d Š Š 9 B576a>* 5C;89@ V Bu ]9< 9<;$= 99 B576$ŠC9 =26 5 =A9 _>ud _BSD Š = 9 4 «;8B1 9@6A6 9@ ˆ # E S, Bu Z9 «vbsd 9²D=857>uŠR ;ABµ>S 9²D 5CD ā576y>e 9@ ˆ ˆˆˆnˆQˆnˆˆ 7! ˆ 2/ 5 ŠC5 D 9y y57 = 6 6-, B@Ļ5 9 O -Qž O5 9@6i>uDv a Q ZŠ O5 9@6 6 Ŷœ 9<Œa «v9<;?>@= ;89 6- Ÿˆ ˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 7 ˆ! 2/ 5 D! 6 ˆ! «ŠCBE= BE; 9 ± >u= ˆ 2>uD 7 œdŷˆˆˆˆˆˆnˆqˆnˆˆ 7*7 5C5C5

21 ˆ 2/ 5 D! 6 ˆ! «Š BS=0 BE; 9 ± >u= ˆ >@Dv 7 œdˆ Dv6:9²;A= =AB 6 B@ 9<Š7 g 9²«c9²Dv 9<D) 9BSD 6:«5CD TŠ7>@=A=A5 9;89<Š7> >@=A5 BSDg;?>@=A9a>E6d> D) =85CBSD Bu 5CD 9<;?6 90=89<Œ{«v9<;?>@= ;89 ˆ$ˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ 7) ˆ # 2/ 5 D! 6 ˆ! «ŠCBE= BE; 9 ± >u=7 œdˆ-ˆˆˆˆˆˆˆˆˆˆnˆqˆnˆˆ 7) ˆ 2/ 5 D! 6 ˆ! «ŠCBE= BE; Q ZŠi BE«c9 5 9@6>@= ˆ œdˆ ˆˆˆˆnˆQˆnˆˆ! ˆ 2/ 5 D! 6 ˆ! «ŠCBE= BE; -Qž, BS«v9@ {5 9@6y>u= 7 œdˆ ˆˆˆˆnˆQˆnˆˆ *# 7 ˆ! 5C =y >u=a9²;, D5C= 9<Š Šv5CŠCŠ v6:=8;?>@=a5cbedbu >ušcš! 6 =A; ) = ;A9@6 ˆVˆˆˆˆˆˆnˆQˆnˆˆ! S 7 ˆ D 9<;8 S 57>@ S;Ÿ>uŒŽ5 ŠCŠ 6:=A;Ÿ>u=85CD <9²;AB$«vBS5 D=y9<D9<;AĒ ˆ ˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!! 7 ˆ # ZŒ!>@Dv Dv>!n6:=8; ) = ;A9 6 Ē9<D 9<;Ÿ>u=A9 2 g - ž «;ABSĒ;?>@Œ ˆ! S 7 ˆ 0 «v9<; 9<Œ ˆ 5CD 6A>@Œ{«ŠC9 všc9bu 6:=8; ) = ;89QD1 Œa v9<;y6 9< 9<D ˆ ˆˆˆnˆQˆnˆˆ! # 7 ˆ 0 «v9<; 9<Œ v;?6 = BSD 9<;8=A9@ ˆ <Œa= <Œa=]6A>@Œ{«ŠC9 všc9 ˆ ˆˆˆˆˆˆˆnˆQˆnˆˆ! 7 ˆ 4 5 ;?6:= BSD 9<;A=89@ ˆ <Œa= <Œa=68>uŒ{«ŠC9 vš 9dŒ{B 5 v9@ j BE;0Ē9<D 9<;850 B 6 =>u=8bsœ6 ˆ! 7 ˆ 7 ZBSD 9<;8=A9@ ˆ <Œ = <Œa= 68>uŒ{«Š 9 všc9yœ2b 5 v9 Q BS;Ē9<D 9<;85 B 6 =y>u=8bsœ6z>@dv =A;Ÿ>uDv6 Š7>@=A5CBED«v>@;?>@Œ{9<=A9²;?6>E 9@ ˆ ˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ! 4 7 ˆ g - ž 5 D «+ = vš 9d BS; S9<D 9²;?>u=85CD ā> D 5C= 9<ŠCŠ ˆŽˆˆˆˆˆnˆQˆnˆˆ! 7 5

22 7 ˆ }ž d +5CD «= všc9 BS; > D 5C= 9<ŠCŠv«v9<;A5 B 5 #<>@Š Š >u=85cbsd2 S9<D 9<;Ÿ>u=A9 g - ž iˆˆˆˆˆˆˆˆˆˆˆnˆqˆnˆˆˆˆˆˆˆˆˆˆˆnˆqˆnˆˆ! 7 ˆ! œ ; D)²>u=A9 } }ž d 5 D «+ = ŠC9 BS; > D5C= 9²ŠCŠL«v9<;A5 B 5 # <>@Š Š >u=85cbsd ˆ ˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ! 7 ˆ!*! œ ; D)²>u=A9 }ž +B =A«+ = všc90 BE;y> D 5 = 9<Š Šv«c9²;A5CB 5 #<>@Š Š >u=85cbsd ˆ ˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!! ˆ! O> Z9<D=A;?>@Š=8;?>uD 6:5C=85CBED ˆ \ 8 D 9<;Ÿ6:5CBED;89 B@ 9<;8 >ud B B 9<;A9²D) 9 =A;Ÿ>uDv6O 9<;«>u= y>< 9<9<«>uŠ Š= ;89<9g«+ Š 6:9@6 BS; 9 B ;A9²Œ{B@ 9= 9 v;?6 = «+ Š 6:9 Ẑ >E6:9@6 >u;895 9<D 5 =A5²>uŠ BS;y vbs= 6:9 9<D 9@6 ˆˆˆˆˆˆˆˆˆˆnˆQˆnˆˆ!!

23 A =F; B A6#=!#"%$"%&'!)(*+"% (,! "-.&%/10%2"45!/768&9::; <'"%)& >=!$*?@!&A"4!/ B4 A =F; BC A6#=C œ 9 >u=89<;lœ{bsš 9 Š 9L576V= 9 + 5CŠ7 5CD ] ŠCB1 0 BS;i5 9Z>uDv 576VBED 9ZBu v= 9]6:5CŒ2«ŠC9@6 =vœ{bsš 9 Š 9@6 5CD 9<Œ{576 =A;8 ˆd6:5 D 2>jD 9²=: ]BS; {Bu T vbsdv 6 L y>u=89<;y BS;AŒ 6y>jŠ 5 57 {9@686:9<D=A5 >ušl=ab2šc5 9 >udv = 99<D 5 ;ABED Œ{9<D= Ŷœ 576 BS;8Œ>u=85CBSD5 6 D BE= ŠCŠC Dv 9<;Ÿ6:=8B B BS; >u;ÿ>* =89<;A5 <9@ Ẑœ 576yŠ7>* Bu D 9<;?6 =?>@Dv 5CD d;a9@6 ŠC=Ÿ6s5 Dn>uD$9 =A9<D 6:5C 9Z vb nbu v9 «v9<;a5 Œ{9<D=?>@Š >ud Q= 9<BS;89<=A5<>uŠ;A9@6 9@>u; 9< BE=A9@ {=8B$ y>u=89<; ˆ 9 Œ2BSŠC9 ŠC9 60>@;A9>@;A;?>@D S9 5 D >;A5 S57 «c9²;a5cb 5$Š7>u=8=A5 9 ˆœ 5 6>u;8;?>@D S9<Œ29<D=n6 B* Š >uš ŠCB@ 5 9a=AB v9>ud 9 >S6:5 9<;n6: 6:=89<Œ =AB Dv 9<;?6 =?>ud ˆœ 576 B@ 9< 9²;d576dD BE== 9%<>E6:9 ˆ 9 >E6!$# ;8 6 =?>@ŠCŠC5 D 9«>E6:9@6n>uŠCŠYBS v6 9<;A 9@ g>@=n 5'&R9<;89<D= =A9²Œ{«v9<;?>@= ;89@6d>uD x«;89@6a6 ;A9 6 ˆ =A;89<Œ{9<D B* v6 >uœ2b* D=0B@ ]«;ABE S;A9 6A6 >S6d v9<9<dgœ >S 9n5CD Dv 9<;?6 =?>ud 5CD 2= 9$«6:5²>uŠi«;ABE«9<;8=A5C9 6Bu Y5 9 Ẑœ :9<;8=?>u=85CBED ;?6:= S5 9@6y>uD B@ 9<;A 5C9< Bu ZDBS;AŒ >ušl5 9 O >@Dv -žd >udv!

24 Q ZŠR BE«c9 5 9@6 ˆ >u=89<; 6:9 =A5 BSDv6Z y5cšcš B1 6BSD{= 9 <>@Š Š >u=85cbsd 6 v6:9@ {=8B BE =?>@5CDŒ2BS;A9 5CD 6:5C =y5 D=8B$= 9n6 =A; = ;89Bu Z5 9 ± ƒˆ =89 D 5 9@6Z>uD 6 9<Œ{5 O9<Œa«5 ;A5 <>uš B! 8 0ŠCŠDv>u= ;?>@ŠCŠC ) B1$ ;A;85CD n5 9yBED{9@>@;A= >uēbsdv>@šv5 9 9<D BE=A9@ $5 9 O 5C ˆ! ˆ! ˆ g>ud abs= 9<;y5 9 «>E6:9@6 y5 = D 5 9 ;A 6:=Ÿ>uŠ ŠC5CD9d6 =A; = ;89@6k9 5 6:=y>@=yŠCB@ 9²;k=89<Œ{«v9<;Ÿ>u= ;A9@6 >uš BSD y5c= «;A9@686 ;89@69 9<9@ 5CD v>@; S E S >u=aœ?ˆ œ 9@6:9BS= 9<; BE;AŒ6 y5cšcš]d BS=a v9 5 6A6 v6a6 9@ ;A= 9<; ˆ œ 9$«>E6:92 57>@ S;Ÿ>uŒ B@ ] «Š7>< 6 = 9/ BSD 5C=85CBSD 6 BS;d 5 6:=?>@ ŠC9n5 9n«>E6:9@6>u;89 BS;8Œ{9@ 5 %! ˆ ŸẐœ 9dŠ 5CD 9@6ZBu i9 5 ŠC5C ;A5 Œ v9<= 9<9²D >u=a9²; >udv 5 9 O 6:Š BS«v9dD 9< µ>u=85c 9<Š ˆ œ 5 6s5 Dv 5²>u=A9 6c= >u=i= 9]6:BEŠC5 «vbµ6a6:9 6A6:9 6 > Š B@ 9<;ƒ 9<Dv6 5C= d= >ud= 9ZŠC5 5 ˆLœ 9Z9 5 ŠC5C ;A5 Œ ŠC5 D 9@6d9 =A9<D }>E6Œ{9<=?>< 6 =?>@ ŠC9a«>E6:9 vb* Dv >u;a5 9@65CD=AB= 9>u;89@>Bu 6 =?>@ 5CŠ 5C= gbu BE= 9<;n5 9 «>E6:9@6 ˆ œ 9d5 Dv 5C 57 1 v>uš >u=89<;œ{bešc9 ŠC9];A9<Œ>@5CDv6i5CD=?>* =>E6k= 90 Dv >uœ{9<d=?>@š + 5 Š7 5 D D 5 =k5 D >uš ŠL= 95 9d«>E6:9@69 9²«=5 9 ˆ 5CD) 9 = 9<;89>u;899 v>@švd1 Œ v9<;ÿ6kb@ «;8BS=8BSDv6d>@Dv {ŠCBED 9 9<Š 9 =A;8BSDa«v>u5 ;?65 D{= 9 y>@=a9<;yœ2bsšc9 ŠC9µ u9@> «;8BS=ABED <>@D{Œ>@= «2 y5c= >ud9<šc9 =A;8BSDa«v>u5 ; Bu >{D 9<5 vbs;a5 D Œ{BSŠ 9 Š 9d=AB{ BE;AŒ > ;ABE S9<D vbsdv T vbsdv Ÿâ > y>@=a9<; Œ{BSŠ 9 Š 9 BS;8Œ6 a O vbsd 6 =ABy B* ;LD 9 >u;a9 6:=iD 9<5C vbe;?6v5cdn>y=a9<=8;?> 9@ ;Ÿ>uŠ>u;8;?>@D S9<Œ29<D=R y5c= BSD9k«;ABS=8BSD B1 «5CD $9 >* a O vbsd # 5C! ˆ # Ÿˆ œ 9$=A9²=A;?> 9@ ;Ÿ>uŠi vbsdv g S9<BEŒ{9<=8;A {9 «Š >u5cd 6 = 9BE«c9²D D 9@686d>uDv g;a9²š7>u=85c 9<Š Š B@, 9<Dv6 5C= Bu = O 6:=A; ) = ;A9 ˆœ (>uD SŠC9 6 >@;A9D9@>u;8ŠC 5 9<D=A5²>uŠ=8B}= 9«v9<; 9 =

25 5 * ;89! ˆ!Sª 9 O y5c= ;A 6:=Ÿ>uŠ ±> 576 =8Bg«Š7>@D 9Bu «v>uē9 ˆ ž «v9<d 5 ; Š 9@6>u;A9B Ē9<D >u=8bsœ6]>udv Š B 6 9@ {6:Œ >ušcš 9<; BED 9@6 ;8BSĒ9<Dv6 Ẑœ 9dŠ7>@;A S9BE«c9²D 5C; ŠC9 6 B =AŠ 5CD 9 = 96 Œ>uŠ ŠC9@6 = D 5 = 9<Š Š ˆ =A9²=A;?> 9@ ;Ÿ>uŠƒ>uD ĒŠC9! ˆ Ÿˆ œ 9 2 >ud ĒŠC9dB@ = 9d y>@=a9<;]œ{bsš 9 Š 9y9 5C 5 =?6 ŠC5 =A=8ŠC9 >ud Ē9d ;ABSŒ.= 9n>uD SŠC9n5CD{= 9d ;A9<9Œ{BEŠC9 ŠC9! ˆ ˆ D= 9 5 9²;: T«;A9@686 ;89«>S6 9@6 = 9d=A9<=8;?> 9@ ;Ÿ>uŠV vbedv 5CD $ S9<BEŒ{9<=A;8 $576] 576 =ABS;8=A9@ ˆ œ vbsd >@D SŠ 9@6y>u;89d v9<d= ;ABEŒ «v9<; 9 =i=a9<=8;?> 9@ ;?>@Šv>uD = 9 T vbsdv 6>u;89 6:=8;A9<= 9 ˆ d6s= 9y«;89@6A6 ;A9y5 D) ;A9 >S6:9 6s= 9 5 6:=?>@D) 9@6d=8BD BED O vbedv 9@ D 9@>@;D 9<5C vbe;?6q v9 BSŒ{9@6 6 BE;A=A9²; ˆ7 ;8= 9²;< T cbedv 9@ ;85CD µ6 >u;89n>jē9<d 9<;Ÿ>uŠV 9@>@= ;89Q;89<«v9@>u=89@ {5CD >uš ŠLBu Y= 95 96:=8; ) = ;89@6 ˆ #

26 5 * ;894! ˆ ª 9 >E6:9 57>@ S;?>@Œ 6 Bu y5 D ā= 9 E>u;85CB* 6 «>S6:9 6 B@ Z5 9 ˆ œ 9<;89d>@;A9 6:5 5'&R9<;A9²D=ZBS;85C9<D=?>@=A5 BSDv6 «vb 686:5C ŠC9y BS;y> y>@=a9<;zœ{bešc9 ŠC9Z5CDa5C=Ÿ6 =89<=A;Ÿ> 9 ;?>@Š vbsdv 5CD n9<d 5C;8BSD Œ29<D=² u9 >* BS;8;A9@6 «cbedv 5 D $=ABn> 5'&R9<;A9²D=Z>@;A;Ÿ>uD Ē9<Œ{9<D= Bu i«;abs=8bsdv6z5cda5c=ÿ6 B* ;, T vbsdv 6 ŷœ 9«>S6:9nBu Z5 9d v9 BEŒ{9@6Z«;ABE=ABSD~ 576 BS;Ÿ 9<;A9 5 = 9 y>@=a9<;yœ{bešc9 ŠC9@6Z>@= 9@> Š7>u=8=A5 9n6:5C=89$68>uŒ{«Š 9@6y>uŠ ŠB@ Z5C=Ÿ6 «vbe=a9<d=a5 >ušibs;a5 9<D=?>u=85CBEDv6 ˆ œ 9«>S6:9$ v9 BSŒ{9@6«;ABS=8BSD BS;Ÿ 9<;89@ 5 Ŗ= 90Œ{BEŠC9 ŠC9]>u=Z9@> Š >u=8=a5 9y6:5 =A9 B B 6 9@6Z>6:5CD SŠC9y«;A9 9<;8;A9@ BE;A5 9<D=Ÿ>u=85CBSD ˆ œ 5 6 ŠC9 >S 6$=ABŒ{B 6 = 5 9«>E6:9@6 > 9 5 >udv _Š Bu.=A9<Œ{«v9<;Ÿ>u= ;A9{Œ2B 5 ²>u=A5 BSDv6 5 >u;89

27 ( " 5 * ;89! ˆ #ª œ 9<=8;?> 9@ ;Ÿ>uŠ B BE;? 5 Dv>u=89@ >u=a9²; Œ{BEŠC9 ŠC9$ y5 = + ;8BS S9²D vbedv 6{ 9²D BS=89@ y5c= BS=8=A9@ ŠC5 D 9@6n>uDv B@ E>uŠ 9<D=n vbsdv 62 9<D BE=A9@ y5c= 6:BEŠC5 Š 5CD 9 6 ˆ ZB@ S>@ŠC9<D= ;8BSĒ9<D B S9²D vbedv! ˆ d>@dv ;ABE S9<D vbsd ŠC9<D Ē=! ˆ ˆ 5 6:=A5 D * 576 9@ = 9<5 ;d 9< S;89<9B@ Z«;ABE=ABED}BE;? 9<; ˆ DŒ2B 6:= <>E6:9@6y= 9$9 5 6:=A9²D) 9dB@ «;ABS=8BSD BS;Ÿ 9<;yBE;0«;8BS=8BSDg 576:BE;? 9²; > &R9 =Ÿ6 = 9( ;A 6:=Ÿ>uŠCŠ BSĒ;?>u«56: Œ{Œ{9²=A;A nbu Y= 95 9«>S6 9 ˆ g>ud $Bu ƒ= 9y«6:5²>uŠ «;8BS«v9<;8=A5C9 6 B@Ļ5 9 >u;89 D 5 9 >udv $;A9²Š7>u=89y=AB= 9d6 «c9 57>@Š 9@>u= ;A9 6 Bu Y6 =A; ) = ;A9 9@6 «c9 57>@ŠCŠC n= 9 O vbedv 5CD ˆ Z9<;A=Ÿ>u5CD2«6:5<>uŠ«;ABE«c9²;A=A5 9@6>@;A5 6:9y ;ABSŒ. 9 9 =?6 5CD= 9 5 9@>uŠZ5 9a6:=8; ) = ;A9 ˆœ ;A9<9a5CŒ2«cBE;A=Ÿ>uD=d«vBS5CD=$ 9 9 =Ÿ6d>u;89% >ud >udv _ vbsdv =]6 5C=A9 6! 2 5CBEDL 2( * 5CBSDƒ ˆ œ 9 )>@Dv _ vbedv 9 9 = 6:5C=89@6>@;A9 «Š7> 9@6 9<;89 T vbsdv 6]>u;89y ;AB 9<D 5CBEŠ7>u=85CBEDBuŖ= 9y5 9]; Š 9 # = >@= = 9²;A9Œ > BSD Š v9ybsd 9y«;ABS=8BSD

28 6«;ABE=ABEDv6>uDv g9<šc9 >uš BSD 2 2Ž vbsdv Š 5CD 9 ˆ0œ 9$ 5 BSŠ7>@=A5 BSD5 6 <> v6:9@ 9<Dg> >u=89<;dœ{bešc9 ŠC9 D 9<;: SB 9 6j;8BS=?>@=A5 BSD ;ABEŒ BED 9Bu 5C=?6n6:5 «vb 686:5 ŠC9BS;85C9<D=?>@=A5 BSDv6=8B>uD BE= 9<;a>@Dv = 9 >S G?> 9<D= Œ{BEŠC9 ŠC9=8B 5 5C=5 6 ;8BSĒ9<D} vbedv 9@ }Ţ>u5 Š76d=AB BSŒ2«c9²Dv6A>@=A9a >E G v6:=85cd ˆx ) > ;ABE=?>@=A5CBED}5 D=89<; >@D S9@6 6:BEŒ{9B@ y= 9$Œ{BSŠ 9 Š 9 =A;8BSD«>u5C;Ÿ6 ˆnœ 9$;A9 6 Š = 576 6:BEŒ{9B@Ļ= 9 T vbsdv 6y>u;A9 BSD 9<;A=89@ d=abd BSD O vbsd 9@ 2 2 BSD=?>* =?6 y5 = D B«;8BS=ABEDv6 9 9 = BE; y5 = = B >S686:B1 5 >u=a9 «;ABS=8BSDv6 9 9 =?ˆ 0Š76 B5 Œ{«vBS;A=Ÿ>uD=]>u;A9 ;A 6:=Ÿ>uŠL 576± ŠCB1²>u=A5 BSDv6 \Š 5CD =?6 >@Dv {6 OĒ;?>@5CDBS;] S;?>@5CD vb* D >u;85c9@6 O6 ;:Ţ>* =?6 = 9 Š7>@=A=A9²; 5CD «cbešc ;A 6:=Ÿ>uŠ ŠC5CD9$5 9 ˆ œ 9{5 BSDv6n>uDv BE;A5C9²D=Ÿ>u=A5 BSD+ 9 9 =Ÿ6 =8BSĒ9<= 9²; y5c= 6 v6:=85c= =A5CBED BS; 5CD=A9²;?6:=85C=857>uŠv5 Œ{«+ ;85C= a>u=8bsœ6be;05 BSDv6 >< 9Q5 Œ{«vBS;8=?>uD=y5CD ) 9<D) 9dBSD = 99<Š 9 =A;85<>@ŠR>uDv Œ{9 >@D 5<>@Šv«;ABE«c9²;A=A5 9@6Bu Y5 9>@Dv {5CD 6:BEŒ{9(<>S6 9@6 BEŒ{«ŠC9²=A9<Š $ BEŒ{5CDv>@=A9d= 9<Œ ˆ œ 99<ŠC9 =A;85<>@Š) BSD ) =85CBSD25CD{5 9d576<>u;8;A5 9@ = 9d«;8BS=ABEDv6 B 6:9Œ{BE=A5 BSD{5 6 Š B 6:9²ŠC =A5 9@ =8B{= 9$Œ{BS=85CBSDB@ 5 BSD =?6 ˆ BED 5n 9 9 = ²>uDgŒ{B@ 9d ;ABEŒ BED 9$Š7>@=A=85 9 6:5C=89=8B = 9 D 9 = >6:Œ >ušcš G Œ{«gB@ > «;8BS=8BSD} ;8BSŒ BSD9{B&v 9<D=A9<; O>E6: Œ{Œ{9<=8;A5 «vb 6:5 =A5 BSD =8B = 9BS= 9<; ˆœ 9 BS;8Œ{9@ % T cbedv }= 9<D BSD D 9 =?60= 9= ]B{Š7>@=A=A5 9n6:5 =A9@6 ˆQ 5 D) 9 v= 9a6 Œ>uŠ Š «;8BS=ABED G Œ{«v6LB1 ; BSŠCŠ 9 =85C 9<Š >ušcbed n> Ţ>< BS;Ÿ>u Š QBE;A5 9<D=89@ " >@5CD$Bu T vbsdv 6 = 9y5CBED =?6y>@Dv = 99&R9 =A5 9 >u;8 S9(<>u;8;A5 9@ { {= 9<Œ > 9n>$ 9<;A 5 Œ2BS 5 ŠC5C= $5 D = :=8; ) = ;89 ˆ œ 9 6 ; Ţ>* 9dB@Ļ5 9 O 6 B@ 6 D 5 90«;8BS«v9<;8=A5C9 6 ˆ 9@>u;Z= 90Œ{9²ŠC=A5 D «cbe5cd=< = 9d6 ;:Ţ> 9 BED=Ÿ>u5CD 6 Œ >ud _ >ud ĒŠC5CD ;AB* 9²D cbedv 6= >@= «;ABSŒ2BS=A9 = 9g9 5 6:=A9²D) 9B@ a> ŠC5 57 p TŠC5 9 Š7>< 9<; ˆ ZBSDv6 9 9<D) 9@6B@ḑ= 96 ;:Ţ> 9«;ABE«c9²;A=A5 9@6>@;A9 ª26:5 D=89<;A5 D B@ 6 D B@ =8B B 9 6:5C 9 6:DBu y >ušcš 6 ;A9 ;8 6 ƒ6:d B@ =8B0 BS;8Œ >udv $5C=Ÿ6=A;Ÿ>uDv6O BS;AŒ >u=a5 BSDa=AB SŠ >* 5 9<; 5 9E>uDv 4

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45 B 18 9 A6#= 8 = 8 ž D) 9 = 9 >uš =A9<;8Dv>u=85CD nœ>uēd 9<=A5 v9²š7 V = p5 6k= ;AD 9 jb&= 9 + Š $Œ >u = ˆ ˆ ˆ > 5 ;A9²= ;8Dv6k=8B$9 5CŠC5 ;A5 Œ ˆLœ 576«;AB1 9@686=AB@ y>@;? 69 5 ŠC5 ;A5 Œ,;?>uD BSŒ{5 <9@6 = 9 5C;89 =85CBSD2Bu 9Q5 Dv 5 5 v>ušr6 «5CDv6y;A9 6 Š =A5CD 5CD= 9Œ>uĒD ;89<= ;8D 5CD $=AB$= > Ẑœ 9=A5 Œ{9 BEDv6:=Ÿ>uD=?6 BS;y= 576y«;AB1 9 6A6y>u;89 ;85C9 { 9 6 ;85C v9@ { v9<šcb@ B B4 69 A-A A6#=C œ 9d;89@6:=8BS;A5 D B@ iœ>uēd 9<=85@>@=A5CBED$ v>* a=ab5 =?6 9 5CŠ 5C ;85 Œ 6:=Ÿ>u=A9 576 BSŒ2Œ{BSD Š ;A9 9<;8;A9@ =AB>E66:«5CD TŠ7>@=A=A5 9g;A9²Š7> >u=85cbed ˆ)œ >u««v9<dv6 >S6 > ;89@6 ŠC={B@ $= 9}5 D=89<;?> =A5 BSDv6 B@ $= Œ>@ SD 9<=85Œ{BEŒ{9<D=?6VB@ĻD1 ) ŠC9²5 y5c= ;Ÿ>uDv BEŒ{ŠC ) ) = v>u=85cd Œ>@ SD 9²=A5 9<Š7 6 5 >u;890= ;A9 6 Š =?6LBuŖ= 9²;AŒ>@ŠSŒ{BE=A5CBEDv6LBuŖ= 9]D ŠC9<5E5CDn= 9yŒ{BEŠC9 ŠC9 # îœ 9y= 9²;AŒ>@Š 5 6:=A;85C + =A5CBED5 ;A9 6:=ABE;A9@ $ 9<D2>" BSŒ{«vBSD9<D=YBu i= ) ) = v>u=85cd v9<š7 «;A9 9 6A6:9 6k>@== >u;8œ{bs; ;A9 9²D) Bu >g S5C 9²D E>uŠ 9 B@ḑ= 9«vBSŠ7>@;A5 <5CD 9<Š7 >@Dv 5 Dv ) 9@6>g=A;Ÿ>uDv6 5C=A5 BSD>uŒ2BSD ḡ= 9{9<D 9²;A S ŠC9² 9<Š76 œ 9a;?>u=89$Bu >u««;8b > =AB9 5CŠ 5C ;85 Œ.576d«;ABE«vBS;A=85CBEDv>uŠ]=AB{= 9{ 9<«v>u;8= ;89 ;ABEŒ 9 5 ŠC5 ;A5 Œ œ 9$=A5 Œ{9dŢ>* =8BS; v6:9 5CD 9 D 5CD = 576d6 =?>@=A9<Œ{9²D=yŒ>@= 9²Œ>u=85<>@ŠCŠC a576 ;A9 9<;8;A9@ =AB2>S6= 9n6:«5 D TŠ7>u=8=A5 9;A9<Š >u=a5 BSD=A5 Œ{9 v>@dv 6 y;a5 =A=A9²D>E6! ˆ! D= v>@=a5cbed 5 6= 9nŒ{9@>uD2Bu >@Dv * ˆ 5 >@;A9n 9 vd9@ >E6 v;a9@6 «c9 =A5 9<ŠC = 9Q«;ABS >u 5 ŠC5C=85C9@6ZBu >ud «y>@;? >udv >$ B@ yd >u;ÿ =8;?>@Dv6:5 =A5CBED Ẑœ 5 6;A9<Š > >u=a5 BSD576;89<Š7>@=A9@ =ABa= 9Q«vBE«+ Š7>@=A5 BSDB@ D1 ) Š 9<5VD5 D 5'&R9<;A9²D= 6 «5CD 6:=Ÿ>u=89@6 #

46 ω τ = 180 τ = ˆ ˆ 5 * ;89 ªQŹ9 =ABS; «5 = ;A9$B@ 6 «5CD TŠ7>@=A=85 9$;89<Š7> >@=A5CBEDLªn> 5 ŠC5 ;A5 Œ Œ>uĒD BE=?>@=A5CBED_B@ 9 5 ŠC5 ;A5 Œ! ]>ud nœ 9;89@6:=8BS;85CD Bu = 9Œ >u 9 5CŠ 5C ;85 Œ ˆ! >ud ²>uD{ v9d9 «;89@6A6 9@ >E6= 9 5'&R9<;89<D) 9 v9<= 9<9<Da= 9d9 9@6A6 «vbs«š7>@=a5cbed >udv {5C=Ÿ6 9 5CŠC5 ;A5 ŒŽ E>uŠ 9@6 ª v9 «œ 5 6 ;89<«;89@6:9<D=?>@=A5 BSD576d9 =A;A9²Œ{9<ŠC 2Bu 9²;?6:5 Œ{«Š 5 v9@ >@Dv }= 9 ;89@>S 9²;Q5 D=89<;A9 6:=A9 5CD ˆ! 4 > Œ2BS;A9 BEŒ{«ŠC9²=A9 Bu 9²;?>uĒ9d6 B* Š7 {9 >uœ{5 D 9;89 9<;A9²D) 9@6 '!E +# Ẑ B@ yd5cd v * ;89 ˆ 5 6>6 5CŒ{«ŠC9 9 =8BS;]«5 = ;A9B@ Z6 «5CD TŠ7>@=A=85 9d;89<Š7> >@=A5 BSD ˆ

47 B B 69 6A 18:9 A 6#=C B@ yd5 D v * ;89 ˆ 576y>a6:5 Œ{«Š 90 9 =ABS;]«5 = ;89QB@ Z6 «5CD 6 «5CD ;A9<Š > >u=a5 BSD ˆ >$6A>@Œ{«ŠC9 Bu ad1 ) Š 9<5 576 «Š7>* 9@ _5CD=AB>Œ >u SD9<=A5 v9<š7 >ud >ud ; ˆ ˆ v9<š7 _5 6>@««ŠC5 9@ 6:B= >@== 9 ;A9 6:BSD >ud) 9 BSD 5C=85CBSD+5 6 > 5 9< 9@ * BE;{>g6 8 5C9<D=$ŠC9²D S= B@ =A5 Œ{9 Y6 ) = >u== 9a5CDv 5 5 v>@š Œ>uĒD 9<=85Œ{BEŒ{9<D=?6 >u;a92 ;Ÿ> yd 5CD=AB«>E6:9 ˆ0«vBSD ;89<Œ{B@ E>uŠiBu = 9 ; ˆ ˆ v9<š7 R = 9nD ) ŠC9<5L y5 ŠCŠ BED=85CD1 9=AB{«;89 9@6860>@ vb* =d= 9Œ >u SD9<=A5 9<Š7 { BS; > «v9<;a5 B Bu =A5 Œ{9 9²«c9²Dv 9<D=yBSD = ( " &A".! "( ŷœ 9n 9 <>< {;?>@=A9 B@ 9< 9²;yŒ>< v90ţ>s6 =A9<;]= >@D{= >u=y9 «v9 =A9 Q ;ABSŒ = 9dŒ>uĒD 5C= v 9 Bu Ẑœ 5 6k;?>@=A9d5 D) ;89@>S6 9 >@««v9<dv65 = 9<;A9>@;A9D 9<5 vbs;a5 D $Œ>@ SD 9<=85yŒ{BSŒ29<D=Ÿ65CD2= 968>uŒ{«ŠC9d Bµ6:9Œ{BEŒ{9<D=?6 B$DBS=yŒ{B@ 9 >u vb =;?>u«57 Š >@Dv Œ> 9QBED ŠC 6 Œ>uŠ Š BSD=A;85C + =85CBEDv6 =8B{= 9Œ>@ SD 9<=85 v9<š ˆdœ 576 <> v6:9 6 5CD BSŒ{BE S9<D9<5C= 5 D = 9 v9<š }BSD>Œ{5 ;ABµ6 BE«5$6 <>uš 9 >@Dv BSDv6 9 9<D=AŠC g= 9{5 Dv 5C 57 1 v>uš D1 ) ŠC9²5y«;A9 9@6A6 5 D 6 ŠC5C =8ŠC 5 &V9²;A9<D= Œ >u SD9<=A5 9<Š7 6a>uD y5 ŠCŠyŠCBµ6:9g«>S6:9 5 Š 1 9 =AB = 9 5'&R9<;89<D) 9$5 D = 9²5C;«;A9 9@6A6 5CBEDv>uŠ ;A9 9²D) 5C9 6 ˆœ 9a=A5 Œ{9Ţ>* =8BS;n5CD BSŠC 9 5CD= 5 6 ;A9²Š7> >u=85cbed «;AB1 9@ &,".! "( ( 576 y;a5 =A=89<D >S6 (!! ˆ!7 >ud BS;8;A9@6 «cbedv 6=AB+= 9 >@D S9Bu = 9g«;89 9@686:5 BSDv>@Š0 ;A9 9<D g>ud = 9 Œ>@ SD 9<=85 9<Š7 { <> v6:9 {= 9n6:«5 D 6 «5CD ;A9<Š > >u=85cbsd«;8b1 9@686 ˆ]œ 576«;8B1 9@ y>jĒ;A9@>@= 5CŠ Š v6 =A;Ÿ>u=A5 BSDBu = 9 9 BSDv >< Bu œ 9<;AŒ2B D >uœ{5<6 ªi5CD= 9n>@ v6:9<d 9Bu ZBE= 9<;y BS; 9@6 v> 6: 6:=89<ŒŽ y5 ŠCŠL6 «vbsd=?>ud9<b* v6 ŠC >u=8=?>@5cdg>@d >u;a;ÿ>ud Ē9<Œ{9<D=yBu YŒ> 5 Œ4 Œ-9<D=A;ABE«ˆ

48 ω τ = τ τ = 5 * ;89 ˆ 4ªkŹ9 =8BS;]«5 = ;A9 Bu ]6 «5CD ±6:«5CD;A9<Š > >u=85cbsd ˆ B 57 ; 69 D= œ 576 6:9 =A5 BSD y5 ŠCŠV B1 6 BED= 9= B 9 «v9<;a5 Œ{9<D=?6 v6 9@ = ;AB B == 5 6 BE; ˆ 5 ;?6:=² = 9 ;A9<9 Dv =A5 BSD2409<>< 4 >udv vdv>uš ŠC n= 9 d> D B B 5 6Z 576 v6a6 9@ ˆ B B4 57 9<9 v * ;89 ˆ 4j BS; >udg5 ŠCŠ 6:=A;Ÿ>u=85CBSD Bu ]= 9 4 ˆ 0D; ˆ ˆ «+ Š76 9" y5c= > 6 9<ŠC9 =«+ Š 6:9;ABE=?>@=A5CBED \= Bu ;?>u=85cbedg= ˆ! ;ABE=?>@=A9@6L= 9Z + Š d9 5 ŠC5C ;A5 Œ Œ>uĒD vb* = = 9] 5 ;A9 =A5CBEDdBu = 9Z; ˆ ˆ v9<š7 >@««ŠC5 9@ ˆ œ Z>S6A6 Œ{5 D n>q6 =A;8BSD $; ˆ ˆ 5 6 >u««šc5 9@ ˆ ƒ= 9 >ud ĒŠC9 Bu ƒ;abs=ÿ>u=85cbsd2576z6:9<š 9 =89@ $>S6 ( = 9<D = 9d + Š Œ>@ SD 9²=A5 >u=a5 BSDa y5cš Šc9²Dv 4 «5CDa= 9 T «Š >ud 9 >ušcbed $= 9 BE; 2> 576 T 9<«v9<Dv 9²D= «vbsd 5 \= 576y>@««ŠC5 9@ >uš BSD BE;0?ˆ y =A9<;]= 9«+ Š 6:9576= ;AD9@ {B&5CD 5C 57 >ušl6 «5CD 6 4

49 6Bu τ φ 1 5C ;A9 ˆ 7 ª ;A9<9 D ) =85CBSD 409 <>< 4 «+ Š76:9n6 9 9<D) 9 ˆ y5cš Š «;A9 9@6A6L>@=Z> ;A9 9<D) >u;?> =A9²;A576 =A5Bu v5 =?6LŠCB1<>@Š9²D 5C;8BSD Œ{9²D= E îœ 576L«;89 9@686:5CBED ;A9 9²D) a576 y;a5 =A=89<D >S6 * * ˆ! Z 9<D BS=89@6= 9y9 =A9<;8Dv>uŠŒ>uĒD 9<=85 v9<š $>udv * ŠCB1²>uŠ v9²š7 ˆ * ŠC9@>E 6=8B>d 5 6:=A;85C + =A5CBED Bu «;A9 9@6A6 5CBSD{ ;89 9<D) 5 9@6Z>uDv 9<«>E6:5 D {;?>@=A9@6 ˆœ 576;A9 6 Š =?65CD >a 9<>< 5CD / BSDv6 =?>ud= Bu œ ( ˆ+œ <>@ŠCŠC9 > ;89<9 Dv ) =A5CBED409<>< 4 ŸẐœ 576«+ Š76: <D) 9{5 6 SB B BE; 6A>@Œ{«Š 9@6d y5c= 9<;A ŠCBED œ ( Z6 ) >E6ŠC5 5 6d 5 >u;89{bsd+= 9{BS;Ÿ 9<;nBu Œ{5CŠ ŠC576 9 BEDv 6 ˆ 0B@ 9² 9<; 5 D= 9 <>S6 9x BE;6 BSŠ Œ{Bµ6:= 9 T«>E6:5CD ;Ÿ>u=89@6 œ ( >u;a9= «5<>@ŠCŠC 5 =A9gŢ>S6 = 6:BEŒ{9<=85CŒ{9]Bu Y= 9dBE;? 9²;yBu! v6 ˆ ;8= 9²;= 9d«;ABE ŠC9²Œ B@ Z>@Œ{«ŠC5 v9<;z 9@>S {=A5 Œ{9yBS;y5 D ˆ 6 œ ( 6 D B ˆ 6:BEŒ{9(<>S6 9@6y«;ABE c9n;a5 D S5 D %²>uDŒ > 9 = 9@6 9$6 5C SD >uš76y 9<;8 % >uš ŠC9<D S5CD $=AB2 9<=A9 = 4p 07! DBS;? 9<;0=8B$BS =Ÿ>u5 Dg6:5 SDv>@Š76y y5c= 6 ) BS;8= 5 =5 60>E E>uD=?>uĒ9<B* 60=ABaŒ{B@ 90= 9n6:5 SDv>@Š ;8= 9<;B =5CD=A5CŒ29$>uD 6:=Ÿ>u;A=n> 576:5 =A5 BSD= 9<D ˆ œ 576d576dBS =?>u5 D 9@ g y5c= > d> 6:9 9²D) 9 7

50 τ τ τ τ φ 1 φ τ = 2τ 5C ;A9 ˆ ªZ d> D Ba«+ Š 6:9n6:9 9²D) 9 ˆ B = œ 9{5 Œ{«vBS;A=Ÿ>uD) 9$Bu Dv 9<;?6 =?>ud 5CD = 9 6:«5 D}BE;$ d> D 9 B576d= >u=5 =«;AB@ 57 9@6d= Š7 5 D d Š B1 BS; Œ/ Š =A5 T«+ Š 6:9 9 «v9<;85cœ{9²d=ÿ6 ˆ0D 9<; ; ˆ ˆ 5 ;A;Ÿ>S 5 >u=a5 BSDL µ>s6z6 B@ yd 5CD= 9 «;89< 5CB* 6Q6 9 =85CBSDƒ s= 9a9 5CŠC5 ;A5 Œ Œ>uĒD 9<=85@>@=A5CBEDg5766:Š 5C =8ŠC «v9<;8= ;8 v9@ ˆ 9<D = B$; ˆ ˆ «+ Š 6:9@6y>@;A9n>u««ŠC5 9@ {= 9n6:9 9²D) 9d v9 BEŒ{9@6 ª ) ) ) ˆ E B@ yd$5 D v ;A9 ˆ 576i>uD$5CŠ Š v6 =A;Ÿ>u=A5 BSDnBu v= 9 d> D B Ẑ BE;A=AŠ n> =A9²;= «+ Š 6:9 = 9d5CD BSŒ{BE S9<D 9²5C= B@ = 96:=Ÿ>u=85 v9²š7 /<> v6 9@6= 9d5CDv 5C 57 v>@švd ) ŠC9@>@;6 «5CD 6=ABQŢ>@DB* = >@= 5 &V9²;A9<D=Z;?>u=89@65CD2= 9 T a«š7>@d 9 ˆ «+ Š76:9 = 9<D{;ABE=?>@=A9@6y>@ŠCŠV= 96 «5CD{«;A9 9 6A6:5 D $>@== 9 6A>@Œ{9 ;A9 9²D) =ABE S9<= 9<;$>@;AB Dv i>ud }ŠC9@>< 9@6y= B 6:92«;A9 9@6A6 5CD >@=BE= 9<;d ;89 9<D) 5 9@6 >uš BSD T ˆ{ >@=$576dŒ{Bµ6:=5CŒ{«vBE;A=?>@D= 9²;A9a576>< =A9<; > =85CŒ{9 9{=8B= 9 «Š76 9 O >uš Š= 9$Œ>@ SD 9<=85@>@=A5 BSD y5cš Š >< 9;A9 B1 v6:9 g>ušcbed T ˆ 409@6 ;A5 v9@ 9²;A95 60>26:5CŒ2«ŠC9n d> D Ba6:9 9<D) 9 ˆ Œ{BE;A9d;85C SBE;AB v60 9< 9<ŠCBE«Œ{9<D=Z5765 D>u««v9<D 5 ˆ

51 «v9 =A5 9<ŠC " ( ( B 18 9#8 A 6#9 A =C D6 B B #9 A =C D6 œ 9$6 =?>@=A5dŒ>@ SD 9²=A5 v9<š7 % 576y S9<D 9²;?>uŠ ŠC B 6:9²Dg>uŠ BSD ā= 9 > 5 60>@Dv 9²D BS=89@ ˆ B B 6 5CD >E606 ) Š 9@>S 6=ABa= 9d BSŠ ŠCB@ y5cd D= 576y9 v>u=85cbsd = 9 D1 ) Š 9 ) >udv ˆ! >u;89 v= 9nŒ>uĒD 9<=A50Œ{BEŒ{9<D=y>uD = 9Œ>@ SD 9<=8BSĒ ;85d;?>@=A5CB2Bu ˆœ 9 ; D 6 B@ 9<; >ušcšld1 ) Š 9<5v5CD= 968>uŒ{«ŠC9 4 ˆ B B 6 = 9 6#9 A= 6 œ 9g 5C«vBSŠ >u;2 d>uœ{5 ŠC=8BSD 5 >ud+ 9 6 ;85C v9@6$= 9 = ;8B* 6:«v> 9 B «Š 5CD >E6A6:B1 57>u=89@ _ y5c= D 9<5 vbs;a5 D ād ) ŠC9<5T >@Dv { S5 9<D {= 9d BSŠ ŠCB@ y5cd $9 «;89@6A6 5CBEDL œ 9( BEDv6:=Ÿ>uD=0; # ) 9<D BE=A9@ {= 9Q 9 =ABE;k ;ABEŒŽD1 ) ŠC9²5V5i>uD ˆ ˆ E B B D #?%A 6#9 A= 6 œ 9 9<Œ{5²>uŠ]6 5 =a d>uœ25cšc=8bsd 5 >ud >u;?> =A9²;A5²9@6Q= 9Œ>uĒD 9<=A5 v9<š >u=a= 9 D1 ) Š 9 v6 «;8B ) 9@ 26 ;A;AB Dv 5 D {9<Š 9 =8;ABSD 6 >@Dv >S6y= 9d BSŠ ŠCB@ y5cd $=A9<Dv6 BS;y;89<«;A9 6:9<D=?>@=A5CBEDL ˆ #

52 9 D = 9 9 ˆ 4 ˆ B ; = 9 A 9 = 9 5 >u vb@ 9g9 «;A9 6A6:5 BSD 576a= 9<Œ{5²>uŠy6 5C9²Š7 5 D =A9²Dv6:BE;+"@ d>@dv 576{Bu ;?>ud =: ]B ;A= 9<;8Œ{BS;89 576k= 9Œ>uĒD 9<=85 v9<š7 a5cdv 9@ = 9d9<Š 9 =8;ABSD >u=y= 9dD ŠC9 6 B B 9#87 A 6 B 6#9 =C D6 œ ŠC9 =8;A5 v>s ; «vbsš >u; d>uœ{5 ŠC=8BSD 5 >ud 9 6 ;85C v9@6= 9d5CD=A9<;Ÿ>* =85CBED v9<= ]9<9<D{= 9D Š 9@>u; v>e ; «vbeš7>u;œ{beœ{9<d=ybu 5 D1 ) Š 9<5 >@Dv g= 9$9<Š 9 =8;A5 v9²š7 S;Ÿ>S 5 9<D=Q«;AB ) 9@ a6 ;8;AB* Dv 5CD $9<ŠC9 =A;ABEDv6Z>uDv ad ) ŠC9<5 ˆœ 576 >uœ{5 ŠC=ABED 57>@D$5CDa=A9<D 6:BS;Z BS;8Œ 6 9 «;89@6A6 9@ a>s6 ) 4! 5 6Q= 9{D ŠC9@>@; v>s ; «vbsš >u;aœ{bsœ29<d=² L>uD D1 ) ŠC9$ v6 4 ˆ ˆ 576= 99<Š 9 =A;85«vBS=89<D=A57>@Šy>@=$= 9 5 B B ; 6#= 5 8FBD8 E 6<9 A =C 6 =05 60Œ{B 6 = BSŒ{Œ{BED= >@=d= 9n; ˆ ˆ v9<š 576 >u««šc5c9 «v9<;a«v9<d 5 Š7>u; =AB{= 9$6 =?>u=85 v9²š7 V >ud }576 B 6 9<D >@ŠCBED = 9 ±> 576 ˆ{œ 9$ BS;8Œ Bu >uœ2«šc5 = v 9 >@;A9;A9@>E 5CŠ Œ2B Š7>@=A9@ ˆ ( 4 Ẑœ 5 60 d>@œ{5cš =ABED 57>@D >E6 = 9d BS;8Œg v6 9@ }5 6d6 ) = >@= vbs= «>E6:92>uDv 0B@ ]9< 9<;< ]= 9g5 ;A;?>E 57>@=A5 BSD_ ;A9 9²D) +576 BEDv6:=Ÿ>uD= + B 6 $ ˆ ( & $! &!$ #

53 B? = A6#=C = FA 69 8:; E 16 A 8 87 A A =! 8 5CD 9 y>e6 v;?6 =5CD=A;8B ) 9 x=8b BSDv 9²Dv6:9@ gœ>@=a=a9²; = g 9@>u;Ÿ6>u SB ;89<Š7> >@=A5CBED Œ{9@>E6 ;89<Œ{9<D=?6 >< 9d v9 BSŒ29>«vBS=A9²D=y=8B BSŠL BS;yBS =?>u5 D 5CD 5 D BS;8Œ>u=85CBSD >u vb* = ŠCB1²>uŠL9<Š 9 =A;8BSD 506 =A; ) = ;A9 Ẑœ B >< ;89<Š7> >@=A5 BSD6 = v 5 9@6Z>u;89 v6:9 j BS;]9<Š ) 57 >@=A5CD Q5 D BS;8Œ>u=85CBED{>@ cb = Š >S6A6 9@6QB@ Œ>u=89<;A5 >uš 60;?>@D S5 D ;ABEŒ 5 BSŠ BS S5<>uŠZ=8BgŒ{5CD 9²;?>uŠ 6 ˆ v6a6 9@ }«;89< 5CB* 6:ŠC g ]9<;A9 = 9= Ba= «v9@6ybu Z;89<Š7> >@=A5 BSD«;AB1 9@686:9@6 = 576;A9 6:9@>@; 5 6 ˆ >@Dv ( œ 9;89<Š7> >@=A5 BSD«;AB1 9@686, =85CŠC5 <9@ 5 D B B4 8:9 A 6#=C ;= 9#8 B 9 ;FE 62 œ 96 = v Bu Œ2BSŠC9 Š7>@;dŒ{BE=A5CBEDv6 v6:5 D ḡ6 «5CD OŠ >u=a=85 9a;A9²Š7> >u=85cbed}œ{9 >S6 ;A9<Œ{9²D=Ÿ6,<>@D B&R9<;n>{=A;89<Œ{9<D B* v6 >uœ{b D= Bu y5 Dv6:5 = ˆ 6 6 =A9<Œ Bu 5CD=A9<;Ÿ>* =85CD ād ŠC9@>@;6:«5CD5CDgD BED = 9<;AŒ>@Šy9 5CŠ 5C ;85 Œ y5c= = 9Š7>@=A= a BED 9g > 9<Dv6 5C= +Œ>u=8;A5 =8;A9@>@=AŒ{9<D= ˆ œ 9 9 5CŠ 5C ;85 Œ 9<Dv6:5 = Œ>@=A; y;a5 =A=89<D>S6 * ˆ S>@ŠC9<D=y=AB! $ œ >@Dv 576y= 9n5CD=A9<;Ÿ>* =85CBED >uœ{5 ŠC=ABED 57>@D 4 ˆ D = 9 <>S6 9 9<;89= 9 9<Dv6 5C= Œ>u=8;A5 576i 9@6 ;A5 c9 n>d6 5CD ĒŠC9 BSDv6 =?>ud= 5C=i576L;A9@>E6:BSD >u Š 90=8B>S686 Œ{9 = >u== 9 5CD=A9<;Ÿ>* =85CBSD$ v9<= ]9<9<D$= 9d6 «5CD2>uDv aš7>u=8=a5 9y;A9<Š > >u=85cbsda576 9@6 ;A5C >u Š 9y a>6:5 D SŠ 9 BEDv6:=Ÿ>uD=< Ẑœ 9;?>@=A9nBu >@D S9B@ }5 6= 9²D y;a5 =A=89<D>S6! ˆ 7 #!

54 609 5CŠ 5C ;85 Œ 9<Dn>S686 Œ25CD >y6 «5CD ;89 5C=R c9 BSŒ{9 6c«vB 686:5C ŠC9Z=AB <>uš Š >u=a9y= 9Z6 «5CDŠ >u=a=85 9 ;A9²Š7> >u=85cbed =85CŒ{9 BS; >ud~>u;8 5C=8;?>u;8 D ) ŠC9@>@; 6:«5 D 5 ;A;89@6:«v9 =85C 9dB@ = 9 9<Š7 ˆ 9<DŒ{BE=A5 BSDv6 >u;89y6 v 9<D >udv <BS;Y5CD ;89 9<D=R5C=L5 6V«cBµ6A6 5C Š 9=AB >u;ÿ>* =89<;A5 <9 = 9<;AŒ>@ŠCŠ >* =85C E>u=89@ QŒ{BE=A5 BSDv6 5CD =A9<;8Œ6yBu ]> BE;A;A9²Š7>u=85CBED=A5 Œ{9 BE;d= 9$Œ{BS=85CBSD #S! ˆ 9<Dg= 9Œ{BE=A5CBED5 606 v 9<D & = 9 6:«5 Da6: 6:=A9²Œ 576iD BS=]>uŠ ŠCB@ 9 Q9<D B =A5CŒ29k=8B >ud Ē9 9<D) 9 u5 =?65 D 5C=857>@Š 9²Dv6:5 =: nœ>u=8;a5 576 D) >ud Ē9@ ˆ/ Dg= 9/²>S6:9aBu 5CD ;89 9<D=0Œ{BE=A5 BSDv6! L= 9/ BS;A;89<Š7>@=A5 BSDg=A5 Œ{9 v9<= 9<9<Dg= ]B 6 9@686:5C 9]Œ{BS=85CBEDv6 >@««v9<d{bsd2>d=a5 Œ{9]6<>@ŠC9 Œ4 ) S;89@>u=89<;Z= >@D = 9 6:«5 D ±6:«5 D ;89<Š7> >@=A5CBED =A5 Œ{9 ( ˆ 6> ;89@6 ŠC== 926: 6:=89<Œ := ;A v9@ } g= 9 Œ{BE=A5 BSD ˆ 4, ;A5CD = 9{=A5 Œ{9$ v9 BS;89{= 92D 9 = 576:= ;A >ud) 92= 96 6 =A9<Œ vdv 6>uDBS= 9<;$9 5CŠ 5C ;85 Œ ˆ/ D = 9 Š7>@=A=89<;d= 9a d>uœ{5 ŠC=8BSD 5 >ud5760=85cœ{9 ) = v>@=a5 D ˆnœ 9a9< BSŠ =A5 BSDB@ y= 9$6 «5CD 6: 6:=89<Œ 5760 ]9<ŠCŠ >u;ÿ>* =89<;A5 <9@ g ŠCB B 5 D >u=$= 9{ E>u;857>u=85CBED Bu = 9 6:«5 D=89<Œ{«v9<;Ÿ>u= ;A92 9{=8B>g6 v 9<D >ud Ē9Bu Z= 9n6:«5 D >uœ{5 ŠC=ABED 57>@D '!² Oª * * * ( ˆ D = 576 <>E6:9v9<9<Œ>@DL * v>e ; «vbeš7>u;² v>udv a 5 «cbeš7>@;;a9²š7> >u=85cbedv6 y5cšcš c9 ;A9@6 9<D= ˆ œ 9<;A9 BS;899 >u=a5 BSDv6 BS;y= 9@6 9Q= «v9@6bu Z5 D=89<;?> =A5 BSDv6ZŒ4 6:= v9n 9< 9²ŠCBS«v9@ ˆ 0# ž D ŠC = 9 <>E6:9 BS; 5C v9<š7 9 «c9²;a5cœ29<d=ÿ6c y5 ŠCŠ v9 BSD 6:57 9<;A9@ ˆœ 9yŒ{9<D=A5CBED 9@ d6 6 =A9<Œ 9< BEŠC 9@ " D 9<;Z= B$ >uœ{5 ŠC=ABED 57>@Dv6s v9<9<œ>@d$>@dv {5CD=A9<;8Dv>uŠ 9<Š7 6 ˆ œ 9 =ABS=Ÿ>uŠƒ d>uœ{5 ŠC=8BSD 5 >ud 5769 «;89@6A6 9@ >S6y= 9d BEŠCŠCB@ y5 D &% $ #

55 ˆ * * ˆ D = 576i9 >u=a5 BSDa5R 9<D BE=A9@6 = 9y5CDv 5 5 v>@šv6:«5 D ±6:«5 D 5 D=89<;?> =A5 BSDL S5 ˆ 9 ˆ 5 «vbsš7>@;< v>e ; «cb@ Š7>@;y9<= ˆ 9<> 6:9d5 D 5C v9<š 4 = 9=8BS=?>@Š >uœ{5 ŠCBSD57>uDa576;89@ ) 9@ {=AB * ˆ # d686 Œ{5 D d= 90;Ÿ>uDv BSŒ Œ{9<=8;A5 «vbed=a5 Œ{9 ;A9< 9<;Ÿ6A>@Š '! Tª ) ) = v>u=85cd v9<š7 6 ĒB@ 9<;AD 5 D ;A9<Š > >u=85cbsd2>u;896:=ÿ>u=85cbsd >u;a 2>uD {6: Œ = 9 9<D 6:9<Œa ŠC9n>< 9<;Ÿ>u S9a576 9 >ušz=ab= 9 =85CŒ{9 > 9²;?>uĒ9 ˆ 09<;89 BE;A;A9²Š7>u=85CBED D) =A5 BSD >ud 5769 «;89@6A6 9@ {>E6 = 9d BSŠCŠ B@ y5cd T ˆ #1! \=: T= 9 vd 9@6d= 9{> =AB@ 5 6= 9( BE;A;A9²Š7>u=85CBED =85CŒ{9y BS;y= 9d D) =85CBEDx 9 «ˆ # œ v686:5 BSD D B@ ;A9<= ;AD 6 =AB = 9 5C 9<Š7 +=A;A9 >u=aœ29<d= ˆ œ 99< BEŠ =85CBED_Buņ= 9 v9<9<œ >ud{5 D=89<;?> =A5 BSD{5 6 y;a5c=8=a9<d >E6 *! ' * * ( * * ˆ # # 9<; d= 9 =8BS=Ÿ>uŠ] d>uœ25cšc=8bsd 5 >ud ˆn 9<D= 9aD BSD 6 9 Š >u;=a9<;8œ B@ = 92 9<Dv6 5C= Œ > =A;85 576dŒ4 6:Œ>@ŠCŠC9²;d= >@D}= 926:«5 D OŠ >u=8=a5 9 ;89<Š7> >@=A5CBEDg;?>@=A9 i= 9a;?>@=A9aBu >ud Ē9 B@ y= 9 9 «v9 =?>@=A5 BSD E>uŠ 9QB@ d v9 BSŒ29@6 #*#

56 ( ( ( ( *! * * ˆ #) «;A9@686:5CD {= 9n;A9<Š > >u=85cbsd~>s6d>$ D) =85CBSD Bu Z5 D 9²;?6:9n6 «5CD T=A9²Œ{«v9<;?>@= ;89Q ]9 >< 9n= 9 BSŠ ŠCB@ y5 D œ 9n6:«5CD TŠ7>@=A=A5 9;A9<Š > >u=85cbsd= 9 c9 BSŒ{9 6! ˆ #!! * ( $ & * * * ˆ # 4!! ( $! ( ( ˆ #7 576= 96:«5 D+BS«v9<;?>@=ABE;$Bu = 95CD 5C 57 >ušzd ŠC9<5 ˆ 5 Dv>uŠ ŠC i= 9{9 «;89@6A6 5CBED} BS;$= 9 6:«5CD TŠ7>@=A=A5 9d;89<Š7> >@=A5CBED576! (! œ 9 >u vb@ 909 v>@=a5 BSD6 B@ 6k= >u=z 9<D!!!! 576«;8BS«vBS;8=A5CBEDv>uŠi=AB ˆ B@ = 9( v>s ; «vbsš >u; ;A9<Š > >u=a5 BSD y5cš ŠL v9" BSDv6 57 9<;89@ ˆ ZBSDv6 57 9²;A5CD = 9n6:9 Š7>u; v>e ; «vbeš7>u; 5CD=A9²;?>* =A5CBED d>@œ{5cš =ABSD57>uD # ˆ # 576 «;ABE«vBS;A=85CBEDv>uŠR=AB%! >udv 9<D

57 ( ( ( ( ( ( " ( ( ( ( * #! (! ˆ # 5 D) 9= 9 9<D 9<;8 S Š 9< 9<Š 6>u;89D BE={ :=Ÿ>uD=< ]6:«5 D B* «ŠC5CD 6a>u;A9 Dv>@ ŠC9 =AB 6 v 9<D ŠC 9@6 =?>u ŠC576 >{6:«5CDg=A9²Œ{«v9<;?>@= ;89 c= 60Œ> 5CD = 9a 9 vd5c=a5 BSD Bu >26:«5 DgŠ7>u=8=A5 9;89<Š7> >@=A5CBED =A5 Œ{9 >uœa 5C B* v6 ˆ D S9<D9<;?>@ŠL5C=5 6D BS= «vb 686:5C ŠC9=ABa 9 vd 9= 9=8;?>uD 6:5C=85CBED ;89<Š7> >@=A5 BSD{ v> =AB = 9²;AŒ>@Š 9 5CŠ 5C ;85 Œ g>6 5CD ĒŠC9a9 «cbed 9<D=A5 >uš â 9<D «vbs«+ Š7>u=85CBEDv6 ;8BSŒ = 9<;AŒ>@Šv9 5CŠC5 ;A5 Œ)BS v9< 6y= 9d BSŠ ŠCB@ y5cd $9 >u=a5 BSDv6 = 9 ;Ÿ>u=89{Bu >@D S92Bu *-& ( * " ( * " ( ( *+ ( ( * " ( ( * " ( " ( ( " " ( & & ( & & ( & " *+ " ( * ( ( ( & " " *+ *-& ˆ D{= 9@6:9«v>@;A=A5 Š >u;9 «v9<;85cœ{9<d= BED ŠC a= 9( 9²D=8;?>uŠv=8;?>uD 6:5C=85CBED)5 >S69 5 =A9@ a>udv 9<=89 =A9 V 6:Ba= 9Q=8;A9@>@=AŒ{9²D=Z y5cš ŠV= 9<;A9 BS;A9 v9;a9@6 =A;85 =89@ =ABa= 9@6:9«vBS«+ Š7>u=85CBED >ud Ē9@6yBSD Š ˆ ( *+ ( ( * " ( " ( ( " ( " " ( *+ " œ 9;A9 6 Š =ybu ]6 =A;Ÿ>* =85CD $= 9n6:9 BSDv 9 >u=a5 BSD{ ;ABEŒŽ= 9 ;?6:= 576 *+ ˆ! ( * ( * " ( * ( ( " ( ( * ( ˆ #

58 ( ( " >u= >uš ŠV=85CŒ{9@6 * " ( * ( ( " ( ˆ # 9<D 9 ª! ( * ( * " 576y 9 vd 9@ >E6= 9;?>@=A9nBu >@D S9nBu \D ( ( TD *+ *+ ( ( ( *+ ( ˆ œ 9 =8;?>@Dv6:5 =A5CBED «;8BS v>@ 5CŠ 5C=A5 9@6 D) =A5CBEDv6! Oª! ( ˆ <>@D v9 y;85c=8=a9<d 5CD =89<;AŒ 6 B@ a= 9 6:«v9 =8;?>uŠ 9<Dv6 5C= >ud! œ 9 «;A9 6A6:9 {>S6 ( # # (! 4 ( ˆ 4! # ( ˆ 17 B@ _5 =k5 6 D 9 9@686A>@;A $=ABnBS =Ÿ>u5 D{6 BSŒ{9 5CDv 5<>@=A5CBED$Bu i= 90D >u= ;A9 Bu i= 9d6 «c9 =A;Ÿ>uŠR 9<Dv6 5C= D) =A5CBED ˆ D{Œ{Bµ6:=]6:5 = v>@=a5cbedv65c=]576z«cbµ6a6 5C Š 9d=ABa>@=A=A;85C + =A9dŒ{BEŠC9 Š7>@; Œ{BS=85CBEDv6>E6k;A9 6 Š =A5CD ;ABEŒ ;Ÿ>uDv BEŒ ) = v>@=a5 BSDv6 ˆœ 9/ BS;8;A9<Š >u=85cbsd D) =85CBED BS;d= 576yŒ{BS=85CBED576y9 «vbsd 9<D=A5 >uš ŠC 9²> 5CD y5c= = 9 B* ;85C9<;]=A;?>@Dv6± BE;AŒ v9<5cd = 96 «v9 =A;Ÿ>uŠƒ 9<Dv6 5C= j D) =A5 BSD?ˆ #4

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60 !! ( (!! (! ( œ 9y9 v>u=85cbedq BS;Y= 9 9<=A9²;ABSD1 ) Š 9@>u;i 5C«vBSŠ >u; ;89<Š7> =Ÿ>u5CBED v9<= 9²9<D42 &9*1 >S6 65 >udv " 5 6sĒ5C 9<D * D= 5 69 >u=a5 BSD ( (!!! # ˆ ( ( (! ˆ # D= 99 =A;89<Œ{9yDv>@;A;AB@ y5 D Š 5CŒ{5 =! ˆ B@ ŠCB B 5 D ā>u= 9 v>u=85cbsd 6 ˆ i>udv ˆ 5C=]576Z9< 5 9<D=Z= >@=5CD2= 9d9 =8;A9<Œ{9yD >u;a;8b@ y5cd $Š 5CŒ{5 == 9 9<=89<;ABED ŠC9@>@;y 5 «vbsš7>@;;89<š7> >@=A5CBED 576y5CD 9<;Ÿ6:9<Š «;8BS«vBS;8=A5 BSDv>@Šk=8B BED 9$B@ 9<;y= 9 BE;A;A9²Š7>u=85CBED=A5 Œ{9 ˆ = = 99 «v9<;a5 Œ{9<D=?>uŠv=89<Œ «v9<;?>@= ;89@6 v6:9 x5 D}= 5760 ]BS; g= 9a9 =A;A9²Œ{9Dv>u;8;AB@ y5cd Š 5CŒ{5 =y576dd BS=n> BSDv6 57 9²;?>u=85CBED>uDv 5CD = 5 6,²>S6:9n= 9n;A9<Š > >u=85cbsd 576 5C;89 =8ŠC a«;abe«cbe;a=85cbsd >ušz=aba= 9 BS;8;A9<Š >u=85cbsd =A5 Œ{9 ˆ] v>@=a5cbed ˆ L576= 9<D;A9 O9 «;89@6A6 9@ >S6 * ( (!,!! ( ( 4!, ( ( ˆ ) B 6 = v6:9 Š BS;B* ;"²>S6:9a576 = 9a 5 «vbsš7>@;q ;89 9<D) 9<«v9<D 9<D) 9$BED};89<Š7> >@=A5 BSD>uD x= 9 5CŒ2«cBE;A=Ÿ>uD) 9 Bu Z= CŠCŠ v6:=8;?>@=a9@ 5 D= 9D 9 = 6:9 =A5 BSD ˆ #

61 ( 0 Dg5 9 9 >* B S9<D~>u=ABEŒ >S6 =A9<=8;?> 9@ ;?>@ŠZ6: Œ{Œ{9²=A;A E 5 6 B@ E>uŠ 9<D=8ŠC { vbedv 9@ g=ab{= ]B ;8BSĒ9<D >u=8bsœg y>@dv T vbsdv 9 =8B = BBS= 9<;?6 ˆ >* B S9<D >u=8bsœ GA9 =a=ab > v>s ; «vbsš >u;{5 D=89<;?> =A5 BSD+Bu DBSD ±> 57>@Šd6 Œ{Œ29<=A;8 ˆ BS=Ÿ>u=A5 BSDv6 BS;8;A9@6 «cbedv 5 D =AB5CD=A9²;: >ud Ē9yBu v= 9y«vB 6 5C=A5 BSDv6iBuŖ= 9 ;8BS S9²Dv6 >u=8bsœ6i S;A9 >u=aš n> &R9 = = 99²ŠC9 =8;A5 v9<š Q S;Ÿ>S 5 9<D= =89<Dv6:BE;d>@=d= 9QB Ē9<DD1 ) Š 9<5 ˆ d686 Œ{5 D $BSD9«v>@;A=A5 Š >u;y;abe=?>@=a5cbedgbs;d«;abs=8bsd BS«>u=]= 9 6:5C=89dBu i= 9dD1 ) Š 9<5O S= 96 «5CD >uœ{5 ŠC=ABEŒ{5 >ud$ v9 BE;A9d= 9d;ABE=?>@=A5CBEDBS; BS«B Š7 > 9 = 9 BE;AŒ * ( * * * * ( 6# B 6,! # ( ˆ! 09<;89,576= 9>@D SŠ 9{Bu ;8BS=Ÿ>u=A5 BSD ˆ ZBEŒ{«v>u;85CD = 9v9<9<Œ>@DL i 5C«vBSŠ >u; >udv v>s ; «vbsš >u; BEŒ{«vBSD 9<D=?6B@ = 9=8BS=Ÿ>uŠL;A9²Š7> >u=85cbed ;89@6 ŠC=?6y5CD= 9d BSŠCŠ B@ y5cd ā>e6a6 Œ{«=A5 BSD Ẑœ 9v9<9<Œ >ud ;A9²Š7> >u=85cbed$ y5cšcš v90d9< SŠ 9 =A9 6:5 D) 9y5 D$B* ;Z9 «v9<;a5 Œ{9<D=?6V= 9v9<9<Œ>@D v9<š 576DBS=Z5CD ) = >u=85cbedg>ud g6 B Š7 D BS=d5 Dv ) 9Q;89<Š7> >@=A5 BSD v>* =ABa9 5CŠ 5C ;85 Œ Ŷœ 9$ 5C«vBSŠ >u; 5CD=A9<;Ÿ>* =85CBSD 9<«v9<D 6 S;A9 >u=aš BED = 9 6:=8;A9<D Ē= BuŖ= 9 5C«vBSŠ >u; B «ŠC5 D 5 ˆ 9 ˆ i Œ{BEŠC9 Š7>u;LBE;A5 9<D=Ÿ>u=85CBSD 6 >ud x;89<š7>@=a5c =?>@D) 9@60B@ y= 9% B* «Š 5CD 2D ) ŠC9<5?ˆ( Dg5 99 >* B* ; ;8BSĒ9<D>u=ABEŒ60 = B B@ S>@ŠC9<D=n>uDv B Ē9<Dg576 B BS;? 5CDv>@=A9@ } = B T cbedv 9@ ˆ}œ 9>< 9<;?>@ S9 B@ E>uŠ 9<D= 576± =?>@D) 9$5 6 ˆ 7 v 5CŠ 9$= 9a>< 9<;Ÿ>uĒ9 O vbedv 9@ 576:=Ÿ>uD) 9 5 6! ˆ ˆQ 9<D BEŒ{«v>u;89@ $ y5c= Bu Y6:5 Œ{5CŠ >u; vbedv 576 =?>ud 9>" BSŒ{«v>@;A5 6:BSD2Bu i= 9d«;AB 1 ) = 6Z6 Bu = >u=z= 9 5 «cbeš7>@; B* «Š 5CD y5 ŠCŠ v9 ;A9@ 9@ $> Ţ> =ABE;ZBu x BE;Z= 9 2k ;8BSŒ)= 9 B «ŠC5 D Ŷœ 576Z=A;Ÿ>uDv6 Š7>u=89@6k=8B$>$ ;8BS«;8BSŒ, BS; 5C«vBSŠ >u; B* «ŠC5CD! ( &% ( )$ #

62 ( ( ( ( ( ( ( =AB, BS; 2) 5C«vBSŠ >u; B* «Š 5CD 5 D 5 9 ˆk µ B@ yd{ $9 v>@=a5 BSD ˆ v= 90;89<Š7> >@=A5CBED 576Z5CD 9<;?6 9<ŠC a 9<«v9<Dv 9<D= «cbed= 9n6:5 <9 Bu Y= 9( v>s ; «vbsš >u; B «ŠC5 D / BEDv6:=Ÿ>uD=y9 2/ 55 D 5 9{9 ˆ BE; 4 ˆ 44g '! ˆ ZBSŒ2«v>u;85CD = 9{;89<Š7>@=A5 9{6 5<9@6Bu >udv 5 =5 6 >u««v>u;89<d= = >u=y= 9 9<=A9<;8BSD1 ) Š 9@>u; 5C«vBSŠ >u; ;A9<Š > >u=85cbsd B 9 6 D BE=0Œ29<;A5 = BSDv6 57 9<;Ÿ>u=85CBSD ˆ 576y>26:«5 DBS«v9<;Ÿ>u=8BS;dB@ Z= 9 6:«5 D5T 0 v>ud=a5 <9@ {>@ŠCBED {= 942 ) 5CD=A9<;8D ) ŠC9@>@;y> 576 ˆ >u;89= 9( v>e ; «cbeš7>@; d>uœ25cšc=8bsd 5 >udv6zbu Z= 9BS= 9<; B S9<Dv6 >ud y5cš ŠL v9qd9< SŠ 9 =A9 5 D= 5 6 =A;89@>u=89<Œ{9<D= ˆ =89<;y>a6:5 D SŠ 9;ABS=Ÿ>u=85CBSD = 9n d>@œ{5cš =ABED 57>@D >E6 = 9d BSŠ ŠCB@ y5cd BE;AŒ * y=d= 5 60=A5 Œ{9= 9a6: 6:=89<Œ Bu S5 9<D{ {9 v>u=85cbed * * ˆ 4 ;89@>* 9@6 > D9< 9 5 ŠC5C ;A5 ŒŽ y5c= > 5 D 9²;?6:9 6:«5 D}=89<Œ{«v9<;Ÿ>u= ;A9! ˆ j5 6 '! ˆ "'& ˆ 7! 5 D) 9 ) = v>@=a5 BSD+Bu = 98 v>e ; «cbeš7>@;% B «Š 5CD d>@œ{5cš =ABED 57>@D} y5 ŠCŠZ«;A9 BSŒ{5 Dv>u=89 ;89<Š7> >u=85cbedl = 99 «;89@6A6 5CBSD5 6y>u««;8B 5 Œ>u=89@ {>S6 B@ = 9=A;Ÿ>* 95 6 * * * ˆ * *! # Bµ6,! (! #! ˆ d6 5CD $9 v>@=a5cbedv6! ˆ *#a>udv! ˆ a= 9 vdv>@š9 «;89@6A6 5CBED BE; 5 6

63 ( (! "( # B 6%(,!! ˆ 4 Dg= 9a>@ vbu 9$9 v>@=a5 BSD 9<DBS=A9 6 = 9$=ABE=?>@Š D Œ v9<; Bu ]Œ{BEŠC9 ŠC9@65 Dg= 9/ ;8 6 =?>@Š ˆnœ 9 =A5 Œ{9 S>@;A5 >u=a5 BSD Bu Y= 9n6:«5CD=A9<Œ2«c9²;?>u= ;A9 9=AB2> 6 5CD ĒŠC9d;8BS=Ÿ>u=A5 BSD 576= 9<D9 «;A9@686:9@ >S6 6:5CD, ˆ 41! 5 D) 9= 9²;A9d9 576 =?6 = 9<;8Œ>uŠ ŠC a>* =A5C E>@=A9@ {;ABE=?>@=A5CBEDv605 D = 9( ;A 6:=Ÿ>uŠL«v9<; D 5 =ybu Z=85CŒ{9 = 9Q;Ÿ>u=89Bu >@D S9nBu Z= 9n6:«5 D=89<Œ{«v9<;?>@= ;89d=A9²Dv 6=AB@ >u;? 60= 95 D 9<;Ÿ6:9dŠ >u=8=a5 9d=A9<Œ2«c9²;: >u= ;A9n>@Dv 5 6k ;A= 9<;y9 «;A9 6A6:9 >E6 Y6:5CD,! ˆ 4 D}Ē9<D 9<;Ÿ>uŠZ= 9 BE;A;A9²Š7>u=85CBEDg=A5CŒ29Q BS;nŒ{BSŠ 9 Š >u; Œ{BS=85CBEDg5766:9<D 6:5C=85C 9n=AB=89<Œ{«v9<;Ÿ>u= ;A9 >ud Ē9@6 6:BnŒ{9@>S6 ;A9²Œ{9<D=B@ >S6]> D =A5 BSD{B@ i=a9<œ{«v9<;ÿ>u= ;A9 <>@D{«;8Bu D BS;8Œ>u=85CBSD >u vb =y= 9 =A9<Œ{«v9<;Ÿ>u= ;A9 9²«c9²Dv 9<D) 90B@ >@=A9< 9²;k«;AB1 9@686k«;8B ) 9 6 ) ) = v>u=85cbsd 6 ˆ 5 D) 9 v9<šcb@ # -$ = 9;Ÿ>u=A9 6 B@ ZŒ{BSŠ 9 Š >u;]œ{bs=85cbsd 6 + >@;?>* =A9<;85<9@ { >/ BS;8;A9<Š >u=a5 BSD =A5CŒ C=89d6 ŠCB@ = 9 Š7>u=8=A5 9y;A5 S57 a>ud! '!E 1# ˆ Da= 5 6kŠ 5CŒ{5 = ]9d>E6A6 Œ{9 >E6k= 9 BSŠ ŠCB@ y5cd BS;AŒ ˆ 4 # 09<; = 9a>* =A5C E>@=A5CBED}9²D 9<;AĒ BE;Q >u;a;85c9<;d BE;Q= 9$Œ{BEŠC9 Š7>u; Œ{BE=A5CBEDg>@Dv 5 6 BSŠC= Œ>@D D 6 BSD 6:=?>@D= ˆ ;A= 9<;AŒ2BS;A9µ <6:5 D) 9 576V«;ABS«vBE;A=A5 BSDv>@Š =AB! = 9Z9 v>u=85cbsd v9 BEŒ{9@6 +!

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115 ZŠ v6 =A9<; 4 $ O«4 4 O T ( ž ( ŠC5CD9@>u; d # ˆ! ˆ 4 7 ˆ T ( ž " 5CD 4 ˆ ˆ ˆ! T ( ž 5CD ˆ 4*# 7 ˆ 4 ˆ O ( ž! ;A5 6:Œ 4 7 ˆ 4 T ( ž! : ]>@ S9 4 7 ˆ 7) 4 T ( ž! O B B 4 7 ˆ 7*7 4 T ( ž! 5CD ˆ #*# 7 ˆ 4 7 ˆ œ >u Š 9 7 ˆ!Eª!$# % ('& % ) * ('& +, % ( ZŠ v6:=89<; ±> ū T«4 O # # BE;A;A9 =A9@ a=aba9 ˆ O ( ž ( \Š 5CD 9@>@;y d ˆ! ˆ! ˆ 4 # O (?ž " 5CD ˆ 4 # ˆ # 4 ˆ 7 O (?ž 5CD 4 ˆ ˆ 4 ˆ! O ( ž! ;A576 Œ 4 ˆ 4 ˆ 4 ˆ O ( ž! : ]>@ S9 4 ˆ 4 ˆ 7 4 ˆ 7 O ( ž! O B B* 4 ˆ 4 ˆ 4 ˆ 1! O ( ž! 5CD 4 ˆ 4 ˆ 4 ˆ 4 œ >u Š 9 7 ˆ ª!$# % ( & % ) * ('& +, % 9 =A9<D 9@ {D 9<= BE; ²>uŠ Š7>@=A5CBEDŒ{BE;A90 9 >S6:5 ŠC9 ˆ Bµ6:=d5 Œ{«vBS;A=Ÿ>uD=AŠ {6 9<Œ{5 T9<Œ{«5 ;85 >uš<>@š Š7>@=A5 BSDv6i>u;89BS«=A5CŒ25<9@ y=ab 9 «v9<;a5 Œ{9<D=?>uŠ@ E>uŠ 9@6V BS;i y>@=a9<;lœ{bed BSŒ29<;L>@Dv 5 Œ{9<;R5CD= 9 # =A;Ÿ>u5 D 5CD ā6 9<= Ẑœ 576 >ušcš B@ 6y> SB B 6:=?>@;A=85CD $«vbs5 D=y BS;y= 9@6 9Q= «v9@6 <>uš Š >u=a5 BSDv6 ˆ }ž d S E S 576 = 9 v;?6 = BSŒ2«+ =?>@=A5 BSDv>@Š«v> E>@ S9/<>@«v>u Š 9B@ y BS5CD «v9<;85cb 5 #%<>@Š Š7>u=85CBEDv6 ˆ D=Ÿ>u Š 9@6 7 ˆ!S 7 ˆ L>@Dv 7 ˆ # 9n5CŠCŠ v6:=8;?>@=a9 E>u;A5 B* v6 >u g5cd5c=a5 B ;89@6 ŠC=?6 >ud #a;a9@6 ŠC=Ÿ6 BE; y>@=a9<; 5CŒ{9<;² =A;A5 Œ{9<;² u B* ;8Œ{9<;² >ud 6:5 Œ29<; ˆ *#

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117 6:9²9$ SB B >@ S;A9²9<Œ{9<D=y v9<= 9<9<Dg= 9$= B ˆ d6 Œ{9<D=A5CBED 9@ {«;89< 5 B* v6 ŠC =AB 5 ;A9 =AŠC 8 BSŒ{«>u;A9 = 9y=: ]BdŒ{9<= B 6 S= 9 # 9@>@=?6B@ V BE;AŒ>@=A5CBEDv6 >@;A9 BE;A;A9 =A9@ d BS; <9<;8Bd«vBS5 D= Z >udv = 9<;AŒ>@Š BE;A;A9 =A5 BSDv6 # =8B -Ž=8B9 5CŠ 5C ;85 Œ R6:9<9 v * ;A9 7 ˆ ˆ 0ŠCBED y5 = = 9@6 9 ;A9 6 Š =?6 v ;A97 ˆ #$6 B@ 6 <>uš Š >u=a5 BSDv6B@ )#$>udv $ y>@=a9<; Š v6:=89<;?6]>udv SB B g>@ S;A9²9<Œ{9<D= 576k B Dv c9²=: ]9<9<D{= 9n >@Dv 6:9<Œ{5 O9²Œ{«5C;85 <>uš ;89@6 ŠC=?6 ˆ 9<> v6:9 Z BS;8;A9 =85CBEDv6$>u;89 5C SĒ9<;$= >ud+= 9²;AŒ>@Š BS;A;89 =85CBSD 65CD >u=a9²;/ Š v6 =A9<;Ÿ6 = 9 # 9<D 9²;A S5 9@6>u;89 ŠCBµ6:9<;n=AB -Ž9<D 9<;8 S9<=85<6d= 9<D+>@ 5CD 5 =A5 B 9 5 ŠC5 ;A5 Œ 9<Š 9 =8;ABSD5 9<D 9²;A S5 9@6 â 9<D #{9<D 9²;A S5 9@6>u;89{= 9²;AŒ>@ŠCŠC >@Dv Z BE;A;A9 =A9@ R s= 9{9<D9<;AĒ9<=A5<6d>u;89 9 9<Š ŠC9<D= BEŒ{«v>u;89@ g=abg A ] ;A9 6 Š =?6 ˆ~œ 9{Œ{Bµ6:=$6 =A;85CD Ē9<D=n=A9@6 =$>@;A9{«;89@6:9²D=89@ x5 D =?>@ ŠC9/7 ˆ # ˆ BSŒ{«Š 9<=A9 v>s6 576 <>@Š Š7>u=85CBED9<Š 5CŒ{5 Dv>u=89@6 = 9$D 9²9@ BE;d p 4 i576y5cd~>udv 576Z5CD{9 9²ŠCŠC9²D=Y>uĒ;A9<9<Œ29<D=Y y5c= # ˆ 0Š76 B 9 «v9<;85cœ{9²d=ÿ>uš S>@Š 9 6>u;89>< E>u5CŠ >u Š 9>u= 5CŒ29<; 9<;89n>u S;89<9<Œ{9²D=Z576y>@Š76 B ĒB B ŷœ 9 }ž E S E 576D B@, 576 v6a6 9@ ˆ B 69 A = ; = 8 6#= ; B 9 A6#= œ 9 BEŒ{«+ =Ÿ>u=85CBSD >uš«>* S>@ S9% 6:9@ }5 D = 576Q;89@6:9 >u; 576 }ž 4 7 ˆœ 9 }ž d «v> E>uĒ95 6j v>e6:9@ _BED 6 9<Œ{5C9²Œ{«5 ;A5<>uŠZ= 9<BS;8 k5 D_«v>@;A=85 Š >u; 4d4Qž 44 ˆ +9 =A9<Dv 5CD = 576QŒ29<= B >udv +>uš ŠCB@ y5cd BS;a>g6 5CŒ{«ŠC9a>u««;AB 5CŒ>@=A5CBEDL }ž >ušcš B@ 6Q BS;«v9<;85CB 5 <>@Š Š >u=85cbsd+bed 6:=A; ) = ;?>@ŠCŠC 9 =89<Dv =A9<Œ 6Q5CD«v>u;8=A5 Š7>@;a6:BEŠC57 6 ˆ }ž d >* = v>@šcšc ( v6:9 6> Š 6:=A9²;k=89 D 5 9]= >@=576 E>uŠ 57 9²D{= 9 B 6 9<D/ 9<Š Š 576Z6 5 9<D=AŠC Š >u;aē9 5 ˆ 9 ˆ 9<5C =i y>@=a9<; 9<Š Š!?ˆ }ž 576 v6:9 5CD( BSD G D) =85CBSD$ y5 = g - ž iˆ g - ž 576Q;89@6:«vBEDv6:5 ŠC9 BE;$9 =A9<Dv 5CD ~> S5 9<D D5C= 9<ŠCŠ 5 D=8BŒ/ ŠC=85C«Š 9 9²ŠCŠ76 ˆ D B* ; <>E6:99@>* D 5 = 9<ŠCŠR y>e6, BEŒ{«;8576:9 jb@ Z9<5C =y >u=89<;?6 Ẑœ 9$ g - ž «;ABSĒ;?>@Œ 9 =89<Dv 9@

118 ( 6d 60«v9<;A5 B 5<>@Š Š7>u=85CBED 6 B* ;d9<5c = y>@=a9<; 9<Š Š76=8B 6: 6:=A9²Œ6 R>uŠ BSD {= 9 R> V ƒ V>@Dv ±> 576 5C ˆ 7 ˆ # Ÿˆdœ 5 6 S5 9@6y>$Œ4 Š =A5 9<Š Š Bu 9<5C = D >uœ{9²d=ÿ>uš0 D 5C= 9²ŠCŠ76Z5CD 9@>* <>S6 9 ˆ >E6:=8ŠC )<>@Š Š7>u=89@ 9@>@= Bu Y BS;AŒ >u=a5 BSDv6 a ]9<;A9BS =?>u5 D 9@ >ud >ud >ušc 1<9@ ˆ œ 95CD «+ = všc9 62 BE;= 9 }ž d S E S «;ABSĒ;?>@Œ ]9<;A9gBE =?>@5CD 9@ 5CD = 9 BSŠ ŠCB@ y5cd Œ>@D D 9<; ˆ 0ŠCŠ 6 =A; = ;89@6 9²;A9 5 9< 9 v6:5 D 0 «v9<; 9<Œ 7 ˆœ 9 0 «v9<; 9<Œ všc95 6 S5 9<D{5 D * ;8947 ˆ a>udv >S6 >ud ˆ 5 D{9 =A9<D=A5 BSD ˆ œ 9 y>@=a9<;n9<5c =( D 5C= 9<Š Š 576$6 ««Š 9<Œ{9<D=A9@ y5 = = ;A9²9 >u=abeœ6 BED 9>@ŠCBSD }9@> > 576 v ;A9 7 ˆ?✠9 6:9$ B 6:= >u=abeœ6d>@;a9/ v6:9@ g=ab5 9<D=A5 2=A;?>@Dv6:Š >u=85cbsd 6>uŠ BSD = 9 > L >@Dv d> 9@6Z 5 >u;89 9 D 9@ BED) 9dĒ9<BSŒ{9²=A;A5 9@6 >@;A9 BED 9²;A=A9 j=8b OŒ>@=A;85 BE;AŒ>@= ˆ œ 9 «v9<; 9²Œ «;8BS S;Ÿ>uŒ <>ud BSD 9<;A=5 =?6 všc9 6Q=AB~ ž TŒ>u=8;A5 BS;8Œ>u= 9<;89 5C= v6 9@60= 9 ˆ ²Œ =]9 =89<D=A5CBED ˆ œ 9 >u=abeœ6 >u;a9nd B@,;A9<«Š >* 9 Ē9<D 9<;85 Bµ6:=>@=ABSŒ 6 9<DBS=A9 v ;A9 7 ˆ 4 5CD }ž ˆƒœ ;Ÿ>uDv6 Š7>u=85CBED «v>u;ÿ>uœ{9²=a9<;ÿ6d>u;89{d B@ 5 D «+ =5CD=AB= 9 ˆ ²Œ = všc9 v6 9@6 œ 5CDg«Š >* 9nBu y= 9$>@=ABEŒ v ;A9%7 ˆ 7?ˆnœ 9@6:9$=8;?>@Dv6:Š >u=a5 BSD «v>@;?>uœ29<=a9<;ÿ6>@;a99 5 E>uŠC9²D=Z=ABa= 9QŠ >u=8=a5 9> L v>@dv BEDv6:=Ÿ>uD=?6 ˆ œ 95 D «+ =a g - ž vš 9576Œ>E 9{ +>S 5CD = 9{ BSŠ ŠCB@ y5cd ḡš 5CD 9 y Z * ;89%7 ˆ >S6d= 9 v;ÿ6:=šc5 D 9n>uDv >ud Ē5CD 2= 9 vš 9Dv>@Œ{9=8B g> 9 vš 9<Dv>@Œ{9 ˆ >u= ˆ ž D) 9 = 576 vš 9y576 ; D = ;AB g - ž µ> D9< vš 9y576Ē9<D 9<;Ÿ>u=89@ j y5 = = 90D >uœ{9 všc9<d >uœ{9 ˆ >u= ˆ œ 5 6 D9< vš 9$576dB* ;5CD«+ = D 5C=( 9²ŠCŠL BS;$ }ž 7 ˆ Ÿˆœ 9$Š 5CD 9µ. #% >u;8 S9 6:5 D SŠ 9<= k d v * ;89 R Zœ.{576d>E 9@ g=ab2= 9$=8BS«Bu = 9 }ž d 5CD«+ = všc9 v ;A9"7 ˆ! R>u µ6k BS;]= 9d B 6 =?6y>@;A96 9<==8B >udv {= 90«v9<;85CB 5 <>@Š Š >u=85cbsda576]6:=ÿ>u;a=89@ Ẑœ 9 6:9<>@Š Š7>u=85CBEDv6k=8B B* 2>u««;8B 5 Œ>u=89<ŠC B ;?6BED>%! ˆ, 4

119 ( 6>@=ABSŒ 7)4 $ d ˆ- 5 Dv>uŠ ŠC E= 9dB =A«= vš 9 v * ;A9"7 ˆ!*! 5 6 Ē9<D 9<;Ÿ>u=89@ {>ud = 9y BSŠ ŠCB@ y5cd «v>@;?>uœ29<=a9<;ÿ6>@;a9be =?>@5CD 9 ˆ B 18 B 9 A 9 =85CBED 7 ˆ # ˆ! S5 9@6 = 9! ;A 6:=Ÿ>uŠR6:=8; ) = ;89@6 v6 9@ 5 D{= 5 6k ]BS; ˆ D = 9@6 96:=8; ) = ;A <D BS; 9@ $D B$6 Œ2Œ{9<=A;8 9<D) 9 = 9d S9<BEŒ{9<=8;A5BE«=A5 Œ{5 >u=a5 BSD$5 6kD BE==A;85C 57>@ŠV>@Dv 5 6k=A5 Œ{9 BEDv6 Œ25CD ˆ BE;= 576V;89@>S6 BSDa>uŠ Š>uD ĒŠC9@6i>uD 5CD=A9<;8Œ{BSŠ 9 Š7>u;R 5 6:=Ÿ>uD) 9 6>@;A9BE«=A5 Œ{5²9@ ˆRœ 9 BS«=A5CŒ25<9@ 6 =A; = ;89@6 BEDv6:5 6:=89@ Buş> Š v6 =A9<;iBu! >@=ABSŒ 6 5 ˆ 7 ˆ # ª 4 B Ē9<D 6 >ud! ;ABSĒ9<D+>@=ABSŒ 6 ˆ D=A9<;8Dv>uŠ BEDv6:5 6:=A9²D) 576QBE =?>@5CD 9 } E>u;8 5 D = 9{ S;Ÿ>S 5 9<D= 6 = >u=z5c=i y>e6z>u««;8b 5 Œ>u=89<ŠC!y5 D$ }ž d ) 9@ D5C=?6 ˆ œ 9 a E>uŠ 9@6s BE; B* ;Z6:9<Œ25C9<Œ{«5 ;85 >uš # <>uš Š7>@=A5 BSDv6s BE; 9@> 6:=A; ) = ;A9 >u;a9 6 B@ yd$5cd$=ÿ>u Š 9,7 ˆ " ˆ ŠCBSD y5c= 9@>u=Ÿ6 B@ BE;AŒ>@=A5 BSDL 9«;A9 6:9<D=y>@Dv 5 6 6A6= 9QBE =?>@5CD 9 Š7>@=A=85 9 BSD 6:=?>@D=Ÿ6 œ >@ ŠC9 7 ˆ Ÿˆ «v9<;85cœ{9<d=?6 6 ««vbe;a=$6 =A; ) = ;A9{D1 Œa c9²;"! BS;«;ABS=8BSD BE;? 9²;A9@ }5 9 ˆ œ 576n6:=8; ) = ;A9{ <D=A5 v9@ >S66 «v>* 9{ S;8B* «ZŒ! ˆœ 9 D >! O>@D 5C= \ 9<;8;AB 9<Š 9 =8;A5 6:=8; ) = ; <D=85 v9 g>s6qd1 Œa v9<;d= B ˆ ž ;;89@6 ŠC=?6 vd ZŒ!a>uDv D >!>E6>@Œ{BSD = 9{ŠCB@ ]9@6:= 9<D 9²;A S 6 =A; ) = ;A9@6 + =nd Œ v9<;ÿ6!!s! >@Dv! g>u;a9 >ušcšzœ{be;a9a6 =?>u ŠC9{ g9<d= >@ŠC«5 9@6 ˆ 9<D BEŒ{«v>@;A5CDā>uŠCŠ! 6 =A; ) = ;A9@65 =y576y>u««v>u;89<d= = >u=y= 99<D 9²;A S 2 5 &V9²;A9<D) 9@6y>u;89Q 9²;A 6:Œ >ušcšz + =D BE=$D 9< SŠ 5CĒ ŠC9 BSŒ{«v>@;A9@ g=ab œ >u=47 - ˆ D Œ{B 6 ="²>S6:9= 9 5 &V9²;A9<D) 9 5 6Bu = 9QBE;? 9²;0B@ ]> 9² «v9<; 9<D= ˆ ]> =85CBSD Œ4 6:= v9n=?> 9 9²Dg>S686:5 SD 5 D {>$ŠCB@ =89<Œ{«v9<;Ÿ>u= ;A9 & ( ( $ 7

120 =A; ) = ;A9 ;8BS=8BSD}ž ;Ÿ 9<;A5 D >u=8=a5 9 >@;?>uœ29<=a9<;ÿ6 T! > ˆ 4 7 v ˆ # ˆ #4 D >! > ˆ v ˆ 4 E ˆ # 7 # > ˆ! *# v ˆ! 4 ˆ # 44 > ˆ! 17 v ˆ! 7 ˆ # *# > ˆ! 4 v ˆ! ˆ #*#1! 4 > ˆ! 4 v ˆ! 4) ˆ # 7 7 > ˆ! 7 v ˆ! 47 ˆ # #! > ˆ! v ˆ! 7 ˆ # > ˆ! E v ˆ! ˆ #! > ˆ!7 v ˆ 7 7 ˆ #*#!*! > ˆ 4 # v ˆ 4 1!S ˆ #)! > ˆ 7!S v ˆ S ˆ #!! # > ˆ 7!S v ˆ 7 ˆ #! 4! > ˆ! # v ˆ #) ) ˆ #! > ˆ #7) v ˆ # ˆ # )! 4 > ˆ # 7 v ˆ 1! # ˆ #4)!7 > ˆ S E v ˆ #) ˆ # E 7! 6 Œ! > ˆ!$# 17 v ˆ E S 4 ˆ #! > ˆ 41! E v ˆ 4*# ˆ! ) œ >u Š 9 7 ˆ ª -/. +,,1+,2 9 =A; ) = ;A9a 1<>@Š <Œ2BSŠC9 409< 9<Š Š! # ˆ #7*7 ˆ!! Dv>! # ˆ! # ˆ # # # ˆ #*# ˆ # ˆ 4 7#! ˆ!*! # ˆ 7*7 ˆ # ˆ 4 7 *#! ˆ # 7 # ˆ 44 #!! ˆ # # ˆ 7#! # ˆ # ˆ 7 ˆ 17! # ˆ 7! ˆ!!*! # ˆ! S ˆ #! # ˆ!7 4 ˆ!! # # ˆ 4! ˆ!! # ˆ 4 7)4 ˆ 1!! # ˆ 7 ˆ E! 4 # ˆ S ˆ!!7 # ˆ 4 ˆ! 4! 6 Œ! # ˆ # ˆ 4! # ˆ 7#) 4! ˆ # œ >u Š 9 7 ˆ ª -/. +,,1+,4 2

121 9 5CŠ 5C ;85 Œ 6:=A; ) = ;A9 BE;Q= 9$ BSŠCŠ B@ y5cd {;89@>S6 BSD ✠9 9@>@=?6dBu ] BS;8Œ>u=85CBSDg«;A9@6 9<D=89@ 5 D = 576d BE; >u;89 DBS= BS;A;89 =89@ BS;= 9<;AŒ>@Š BE;A;A9 =A5 BSDv6 ˆv9²;AB{ d«vbe5cd=q9²d 9<;AĒ g576> 5C;89 = Œ>@D 5 9@6 =?>@=A5CBEDgBu = 9{ v>e6:576«;a5 D) 5 «ŠC9@6 Bu v>ud= Œ Œ29 >ud 5<6 ˆ/ D}«;A9<Š 5CŒ{5 Dv>u;8 Š v6 =A9<; 6:= v 5 9@6d5C=d >S66 B@ yd}= >u=n>e 5CD <9<;8B{ «cbe5cd=( BS;8;A9 =85CBEDv6d6 5 =A9 x= 9$ E>uŠ 9@6dBu a ˆ 9<> v6:9b@ Z= =y576yd BS= 9<;8=?>@5CD= >u= >udbs= 9<;d6 =A; ) = ;A9 y5 ŠCŠLD BE=0«;A9@ BEŒ{5CD >u=a9 >u=d + Š 9<D <9²;AB$«vBS5 D= BS;8;A9 =A5CBEDv6y>u;895CD) Š v 9@ ˆ B = 9+B 6#=C œ 9«vBµ6A6:5 ŠC9BE;? 9<;89@ +6:=8; ) = ;A9 6jB@ḑ5 9 ± + >< 9{ v9<9²d_5cd 9@6 =A5C µ>u=89@ ˆ > Š 5CD 6$>S6O 6 Œ{9@ _= >u== 9²;A9 y>s6d B6:«;89@>S 5CD 9<D 9<;8 S BE;= 9 5'&R9<;A9²D= y O vbsd >u;8;?>ud S9<Œ{9²D= 6:=8; ) = ;89 ˆ 0B@ 9< 9²;< ]9 vdv >+6:«;89@>S _BED ˆ 1²>uŠ ²Œ{BSŠ ˆ 9 vdv _= >u== 99<D 9²;A S 6:«;A9@>E _ c9²=: ]9<9<D+B* ;{D 5CD9<=A9<9²D_6 =A; ) = ;A9@6$=AB v9gš >u;aē9<;a= >@=% œ >u=a5 9 =A9<Œ{«v9<;Ÿ>u= ;A9@6 ˆ ;A= 9<;{ ]BS; _576$D 9 9@6A68>u;A =AB+BS =?>u5 D = 9g9²D 9<;AĒ _BE;? 9<;85CD >u={š Bu =89<Œ{«v9<;?>@= ;89 + = = 9@6:9 >u;a9nœ4 6 Œ>uŠ ŠC9<; BS;8;A9 =A5CBEDv6= 9<Dg>E 5CD Z =AB2>u g5cd5c=a5 B$9<ŠC9 =A;8BSD 509<D 9<;8 S5 9@6 ˆ 0Š = B ZŒ! >S6d v9<9<d57 9<D=85 v9 9 «v9<;a5 Œ{9<D=?>uŠ Š >S6d= 9 Š Bu ]9@6:= 9<D 9<;8 S g6 =A; ) = ;A9 = 9 «vb 686:5 5CŠ 5C= = >@=$6:BEŒ{9BE= 9²;6 =A; ) = ;A9aŒ{5C = >< 9$ŠCB@ 9²;d9<D 9<;8 S <>udd BS=n v9 ; ŠC9@ B* = ˆ

122 5 * ;89"7 ˆ!Sª 5 =y y>@=a9<; D5C= 9<Š ŠV5 ŠCŠ 6:=A;Ÿ>u=85CBSDB@ Z>@ŠCŠ! a6:=8; ) = ;89@6 ˆ! E

123 PM Result at 298 K Ab initio Result at 0 K 5C ;A97 ˆ ª D 9<;AĒ 5 >u S;Ÿ>uŒ 5CŠ Š v6 =A;Ÿ>u=A5 D "²9<;AB$«vBS5 D= 9<D 9²;A S ˆ!!

124 5 * ;89"7 ˆ #ª ZŒ8! >udv D >! 6:=A; ) = ;A9@6Ē9<D 9<;Ÿ>u=89@ { g - ž «;ABE S;?>@Œ ˆ! E