Modélisation du redémarrage des écoulements de bruts paraffiniques dans les conduites pétrolières

Transcription

1 Mdélisain du redémarrage des éculemens de brus paraffiniques dans les cnduies pérlières Guillaume Vinay T cie his versin: Guillaume Vinay. Mdélisain du redémarrage des éculemens de brus paraffiniques dans les cnduies pérlières. Sciences de l ingénieur physics]. Écle Nainale Supérieure des Mines de Paris, Français. <pasel > HAL Id: pasel hps://pasel.archives-uveres.fr/pasel Submied n 12 Jul 2006 HAL is a muli-disciplinary pen access archive fr he depsi and disseminain f scienific research dcumens, wheher hey are published r n. The dcumens may cme frm eaching and research insiuins in France r abrad, r frm public r privae research ceners. L archive uvere pluridisciplinaire HAL, es desinée au dépô e à la diffusin de dcumens scienifiques de niveau recherche, publiés u nn, émanan des éablissem*ns d enseignemen e de recherche français u érangers, des labraires publics u privés.

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49 , gv % 2 " 6 Q " <I'=%&6 %J78'n%A' );+ 6 " 01?&)3*=+G'= " 7 0C%& 1<,T'4nQY+5<4+ 7 7C*DE,1%J 378'=?&<H%&=+-78' %A' )3% QC)*,1 2 " 6 Q1)3%A' 2q+5< *)zq1<%&710 %J7 2 " 6 QT'=% Š " * )3%& % ; %A'4 p *2 " Q1);+-('=*DE,1%J %A' '4c1. " '4< " QU%& 01%J 1<H,T'= QY+5<4+ 7 7C*DE,1%J )?q+-716 " 371J9 )h+ 01?A'4%&<6 37Y+B'4 " 7 %A' )3% DE,1% 01% *kr71edy2:+g'= " 7 Q1c ' H3DE,1% 0C%& 2 " 71I'+578'4%J 9 9 %A' ž <H%&7101%J78' " 7,T'43)*34+B'4 " &3)*% + & 7Y+-710Y+ + " %A' +-) / 3 9 %&7, 9{Q1< " Q " %&78',17 7 ",Tpr%q+-, 6 " 01&)3% Y+5? H,1< )h E,T'= " 7 *6,1)X'+571?&% 01% )h+ 2 " 78'=<=+-378'4% %&,1*) %A' 01% )h+ p *2 " e'=?59 Q ",1< 01?&2&<*<% );+ 01?&('4<,12A'=,1<4+B'= " 7 0LK,17 1<,T' QF+-<=+ 7 71*D!,1% k$?&)3edy? ) 7 <%A'4< ", p$% )yk}+5q1q1< " 2c1% 01% 5 +qpr%&71q " <(' %A'. " 6 QU%&<&9 6 +5* *2J )h+ 2cE,T'=% 01% )h+ p/3h2 " HX'4? %A' 01% )h+ 2 " 7>'4<=+-378'=% %&,13) *6,1)X'+571?&6 %&78':9 0Y+571,17 6 " 0C&)*% 01% %&<H2c1%&)0,1) > )*% 'r 5 KM+5,T'4<% QY+5<I':9 + " %A' +5) / 3 378'=< " 01,1*%&78' )3% QF+-<=+-6 A'4<% 01% ('4<,12A'=,1<H% 9 Q1< " Q " H? QY+-< "/" <H% %&7 9FQ ",1<b01?&2&<H3<H% )K?A'+B's01, k$%&) ) m " 6 1<% 01% )3h+5* " 71bŠ 2cY+5DE,1% 371I'+-7>'s0C, <H%&01?&6 +5<H<=+-kr% ) " 6 1<% ' " '+5)L01% )*;+-3 " 71g) " <HDE,1% )3% Q13Q_%J)**7C% %&(' 2 " 6 Q1)3A'=%&6 %&7>'skr?&)*XdY? & *71y9 m 37101*D!,1%,17?A'+B' 0C% kr%&)j2 " 6 Q1)*%A':9_+5) " <H DE,1% m " H3k$71XdY% DE,C% )3% k$%&) %&I' 2 " 6 Q1)3A'4%J6 %&7>'s01?A'=<,1e' V %&sp5+5<h;+g'= " 71\01% )h+ p/3h2 " e'=? %A' 0C% )h+ 2 " 78'4<=+5*78'=% " 7>' 0 " 712 *7>'4< " 01,1X'4%& 01% " 7,1ep5+578'=% m m 7TdY7 9 & 7Y+5710Y+ + " %A' +-) / 3 " 7>'?A'+51)*,171%?&DE,Y+B'4 " 7 D!,1 01?&2&<e' )3% 2 " 6 Q " <('4%J6 %&7>' 01, QY+5<4+56 A'4<% 01% I'=<,12A'4,1<% -V %z'+5,/. 01% 01?&('=<H,12A'=,1<=+G'= " 7 u u %&(' Q1< " Q " <('= " 7171%&)8Šn)h+n2 " 7>'4<=+5*78'=%z01% 2&34+5*)3)*%&6 %&78'g+5Q1Q1)3*D!,1?&% Š )h+ QY+5< " y9t2 " 6 6 % )yk" 78'b01? +5<HD!,1%&< 5 +qp$%&7cq " <I' %A'. " 6 QU%&< & *71y9 *7>'4%&<(p$%J71*<,17 2 " % 7 2&*%&7>' 01% 0C?&I'=<H,12A'=,1<=+G'= " " %A' +-) /!3 Q1< " Q " H%&7>' 2&%A''=%?&DE,Y+B'4 " 7 H36 Q1)3% u u m!,8. %&) " 7 )*%&\p5+-)3%&,1<hb01% 9F)3% 6?J2q+-713H6 % 01% <,1QT'=,1<H% %JI' " e'n2 " 78'4< )*? QY+5<b)h+ 01*6 *7!,T'4 " 7 01% )h+ p *2 " e'=? Q_%A'=e' 9 " X'jQY+5<j);+ 2c!,T'=%01% );+ 2 " 78'=<4+5*7>'4% %&,1*) k$<=+-710ˆ + " %A'{+5) (/!3,T'=*)3*%&78' )3%& 0 " 7171?&%J 01% 5 +qpr%&71q " <(' %a'. " 6 QU%&<bQ ",1<n01?A'=%&<H6 *71%J< )3%&sQY+5<=+-6 A'4<%&n01% )*%&,1<n6 " 01&)*% && %A' )3% p5+5)**0c%&< )* '=< ",Tpr%&78',171% k$<=+-710c% p5+-)3%&,1< Q ",1< 9j2&% DE,C *kr71edf% DE,C% )h+ 01?&('=<H,12A'=,1<=+G'= " 7 %&('b<4+5q1*01%59e%a'\,171% QU%A'4X'4%np5+-)3%&,1< 01% 9/2&% DE,1l*kr71edY%nDE,1% )h+ p/3h2 " e'=? %&(')3% QY+5<4+56 A'4<% 01?&2J)*%&712c1%&,1<b01, 6?&2q+-713H6 % 0C% <H,CQT'4,1<% 1V %&\2 " 712&)*,1 " 71?A'+-1)3*%& QY+5< 5 +qpr%&71q " <(' %A'. " 6 QU%&<b " 78' 0 " 712?&k8+5)*%&6 %&78'bpr?&<HXdY?&%& QY+-<n2&% 7 ",Tp$%:+-, 6 " 01&)3% 7, 9 3\+57Y+G'=cY+57 %A' c13)h+5< /, 3 +56?&)3 " <H%J78' )*% 6 " 01&)*% 01% & 7Y+-710F+ + " %A' +5) / 83 %&7 6 " 01Xdf+-7>' )3% QY+5<4+56 A'=<% 01% 01?&('4<,12A'4,C<4+B'4 " 7 9 %A' %&7 )*% <H%&710Y+578' 01?&QU%&710Y+578' 01, '4%&6 Q1 %a' 01% );+ 6 32&< " I'=<H,12a'4,1<% < " ''=%&6 %&7>'q9f?&71%&<k$3% 01% k$%&) &&S = *7Y+5)*%&6 %&7>'q912&%A'H'=% +56?&)3 " <=+G'= " 7 QU%&<H6 %A' 0LK*78'=< " 01,13<H% 0Y+-7C )*% 6 " 01&)*%,171% QY+5<I'=*% 01% )yk}+-qu%&2a' Q1c ' H3DE,1% 01, <% 01?&6 +5<H<=+-kr%59/2&% DE,1l)3%&,1<b+ QU%&<6 3g01% 2q+5QT'4%&<b)3%&g% ; %a'4b01n+-, 0Ch+56 A'=<H% 01% );+ 2 " 7101,1X'4% H,1<b)h+ Q1<%&H " 7 01% <%&01?&6 +-<<4+5k$% )h+nq1<h%jh " 7 71?&2&%&4+5*<%\+-, <%&01?&6 +-<<4+5k$%z E,1% D!,Y+-7C0 )3%z01;+-6 A'4<% 01, QC*QU%&)*371% +5,1kr6 %&7>'4%ˆ + 7,-, 9. %&('+ > %A' +-) / 3 Q1< " Q " %&78',17 6 " 01&)3% Q1)3,1 2 " 6 Q1)3%A' DE,1 <H%&Q " H% H,1< )3% 6 " 01&)3% '=c1i. " '=< " QU% 01% ",1 > + m m ",$!8

50 gv + 6 " 01?&)3*=+G'= " 7 0C%& 1<,T'4nQY+5< DE,1%& v %A'H'=% kr?&71?&<4+5)3*=+g'= " 7 01, 6 " 01&)*%n01% %&<H2c1%&)0,1) > )*% ' +-, 2 " 6 Q " <('=%&6 %&7>' '4c1. " '4< " QU%b@W+-X'g+5Q QY+5<4+BZ*'=<H% QY+-<=+-6 A'=<H%& %a' Š 01?a'4%&<6 371%&< %ˆ.TQU?&<H36 %J78'+5)*%J6 %&7>' wv % QY+5<4+56 A'=<% 01% ('4<,12A'4,C<H% pr?&<hxdy% )KP?&D!,Y+G'= " 7 01% " " <%59FQ1)3,1b2 " 6 Q1)*a'4% D!,1% 2&%&)3)*%,T'=*)3*?&% QY+5< + " %A' +5) /!3 %&78'b378'4%J<Ipr%&71*<n,17 2 " % 7 2&3%&78' 01% ('4<,12A'=,1<4+B'4 " 7 ƒ u u m ƒ > V K?&DE,Y+B'= " 7 01% " " <% +ON ",T'=% QY+5<4+56 A'=<%& <Hc1? " ) " k$3de,1%&\š 01?A'=%&<6 371%&< ) ",1g01?&2&<*< " 7C Q1)3,1 '+5<0,171% 6?A'=c " 01% QC< " Q "?&% QY+-< v + > g%&)3) /,43 Q ",1< 01?A'4%&<6 *71%&< )*%&, QY+5<=+-6 A'4<%& 01% 2&% 6 " 01&)*%. %&('+ > %A' +5) / 3 " 78' % ; %J2A'4,1? 01%& 2q+-)32&,1)* 5 DE,1 Q_%&<6 %A'H'=%&78' 01% 01?A'4%&<6 *71%&< )*%& '4%&6 Q1 01% <%&01?&6 +5<<4+5k$% 0 KP,171% 2 " 7101,1X'4%59z%A' " 7>' Q1, " 1%&<Ipr%&< )KP37T]Y,1%&712&% 01, 2q+-<=+52A'4&<% '=c1i. " '=< " QU% 01, ]F,1*01% H,1< )3% 01?&1X' %A' )*% '4%&6 Q1 01% <%&01?&6 +-<<4+5kr% 7 +5,1k$6 %&78'+-7>' )h+ QY+5<I'=*% '=c1i. " '=< " QU% 01% );+ 2 " 7>'4<=+-378'=% H%J,1*)9 )3% 01?&Ce'n+-,1kr6 %J78'=% Q1)*,1\<=+-Q1301%&6 %&78'\%A'b0 " 7C2 )*% <H%&01?&6 +5<H<=+-kr% %&('sq1)3,1 <4+5Q1301% v %&QU%&710Y+578'q95H,1< )h+ 1 9G)3%&j2 ",1<U%&{01%g01?&1X' Q1<?&H%&7>'4%&7>'z,17 6 +w.t36,16 D!,1T7LKP%JI' Q1c ' H3DE,1%&6 %&78' QY+-b2 " c1?&<h%j78' 7 % ; %A':9 2&%J)h+ H3k$71XdY%&<=+-X'D!,LKP3)L%&I' Q1)*,1b01 7 2&3)*% 01% 01?&Q1);+-2&%&<b)3% 1<,T' 2cF+-,10 %&7>'4<=+-7>' DE,1 %&I' ) % b' " 713%&7 DE,1% )*% ]Y,1*01% p *2 " Q1);+-('43DE,1% " <('=% <H?JH3I'+-712&% V %& +-,T'=%&,1<H 2 " 6 QY+-<%&78'?&k8+5)*%&6 %&78' )*% '4%&6 Q1 01% <%&01?&6 +5<<4+5k$% 2q+5)*2&,1)3? +5, 2 ",1< 01% )*%&,C<H H36,1)h+B'4 " 71z%a' 2&%J)*,1l6 %&,1<? ) " <Hg01%&b%S. Q_?J<H3%&712&%& )L+-Q1QY+5<=+GZ3'D!,1% )3% '4%J6 Q1\01% <%&01?&6 +-<<4+5kr% 2q+5)*2&,1)3? %&(' H,C<H%&('436?nQY+5<z<4+5Q1Q " <(' Š 2&%&)3,1Y6 %&,1<H? 2 " 6 Q1<%&H*13)*X'4?\7LK%&I' QY+5 Q1<H3% %&7 2 " 6 QT'4% 0Y+571 )*% 6 " 01&)3% QC< " Q "? QY+5<. %&('+ >f v KP%&(' Q ",1<DE, " )3%& %S.TQU?&<*%&712J%& 0Y+-71,17C% 2 " 7101,1e'=% 01% );+- " <4+B' " *<%59 U?&71?AdY2&;+-7>' 01% )KP37T]Y,1%&712J% 01% )h+ 2 " 6 QC<H%&H31*)3e'=?59jQ1<H?JH%&7>'4%&7>' 01%& '4%J6 Q1n01% <H%J01?&6 +5<H<=+5k$% Q1)3,1b2 ",1<('4 1 7T]Y,1%&712J% 01% )h+ 2 " 78'4<=+5*78'=% %&,1*)H,C<s)3% 01?&1X's%A' H,1<n)*% '4%&6 Q1n01% <H%&0C?&6 +5<H<=+-kr% + v + > g%&)3) %A' v cy+-<)*%& /, 3 Q1<H?JH%&7>'4%&7>'q9_);+ 6 * 6 % ?&%59Y,171% pr%&<h " 7 +56?&)3 " <H?&% 01, 6 " 01&)*% 5 01%. %&('+ > %A' +5) 0/ 3 *)3\Q1<H%&7C71%&78' 7 " '+-6 6 %J78'b%&7 2 " 6 QT'=% )h+ 2 " 6 Q1<%&H31*)3e'=? 01, kr%&) & 371y9 )*%&b?&d!,y+g'= " 71s0C, Q1< " 1)*&6 % JKP?J2&<HXp$%&7>'

51 ( gv % 2 " 6 Q " <I'=%&6 %J78'n%A' );+ 6 " 01?&)3*=+G'= " 7 0C%& 1<,T'4nQY+5<4+ 7 7C*DE,1%J zm " m V + 2 " 6 Q1<%&H*13)*X'4?\01, ]Y,1*01% %A'g01, QC*QU%&)*371%\%&I'\378'=< " 01,Ce'=% 01% + " 7,1ep5+578'=% 0Y+571 )yk?&de,y+ '= " 7 01% 2 " 78'=*7!,1e'=? m " +qpr%&2 m 9F@ +-2A'=%&,1<n01% 2 ƒ " 6 Q1<%&H*13)*X'4? k$) " Y+5)*% %A' ƒ m $ g "r# %&(' )KP?&QF+-3H%&,1<\01% )h+ QY+5< " L01% )h+ 2 " 7101,1X'4%59 )*% 6 " 0C,1)*%?J)h+5I'=*DE,C% 01% );+ 2 " 7101,1X'4% %A' );+ 2 " 6 Q1<H%&*13)*e'=? 0C, ]Y,1*01% v + > g%&)*)l%a' +-), <%&Q1<%&7171%&78' )3% 6 " 01&)*% 01% ",1 > + > 8 DE,1LQ1<%&710 %&7 2 " 6 QT'4% Š " * )h+ p/3h2 " Q1)h+5('432&e'=? %A' )h+ '=c1i. " '=< " Q1*% 01%& 1<H,T'= QY+5<4+ 71*DE,C%& 71% Q1<H%JH " 7 %J7 %J78'4<?&% %A',171% Q1<H%&H " 7 %J7 " <I'=*% "!$# " 78' *6 Q "?&%&&9f%A' )3% '4%&6 Q1 01% <%&01?&6 +-<<4+5kr% %&I' 2q+-)32&,1)*? v + > g%&)*)l%a'b+-) %, " 7>''=%&I'=? 01%J,/. ]Y,1301%&\01% 2 " 6 Q1<%&H31*)3e'=?&z01 ;?&<%&78'=%& &('*) +,&X.- 0/ + 21 %A' 3&',&e %A' " 78' 2 " 6 QY+-<? )*% '=%&6 Q1 01% <%&01?&6 +-<<4+5kr% 01% 2cY+-2&,17 +qpr%&2 )3%& <?&H,1)X'+B'= '=< ",Tpr?& QY+-<. %&('+ > %A' +-) jH,1< );+ :<;>=?A@,EB 71% 01 ;?&<H%&712&% 01% C 3D %J78'4<% )3% ]Y,C*01% +-31)*%g2 " 6 Q1<%&H*C*)3e'=? %a'z)*%g]y,1*0c% 01%FE/%&('+*G 7 " 7 2 " 6 Q1<%&H31)*%\%&I' 2q+-)32&,1)*?&%G9-%A'z,171%n01IHl?&<%&712&% 01% J 3D +qpr%&2 )3% ]Y,1*01% Q1)3,1 2 " 6 Q1<%&H*C)*% v + KG g%&)*) %A' +5) 6 " 78'=<H%&7>' DE,1% 01% 2 " 6 QC<H%&H31*)3e'=? +,171% kr< % 37T]Y,1%&712&% H,1< )*% '4%&6 Q1 01% <H%J01?&6 +5<H<=+-kr% ML )*,1 )3% k$%j)s+,171% kr< % 2 " 6 Q1<H%&H31*)3e'=?59TQ1)*,1b*)L%&('s@ +-2&3)*% %a' <=+-Q1301% 01% <%&01?&6 +-<<H%&<b%A'np/30Y+-71kr%&<b,17 Q1*QU%&)3*71% :N;O=QP A@ S THl?&<H%&712&% 01%\'4%&6 Q1z01%n<H%&01?J6 +5<H<=+-kr% %J78'=<H%n)*%& 6 " 01&)3%& 01% E/%&I'+G %A' 0C% v + KG g%&)*)fq ",1< 0CIHl?&<H%J78'4%Js2 " 6 Q1<%&H31)*X'4?&J910LKM+5Q1<H& v + KG %J)*) %a' +5) UV E/,1< )h+ :<;>=?A@W 9 v + XG g%&)*) %a' +-) " 78'?A'+-1)3 )3%& Q1< " dy)3 01% Q1<H%JH " 7,1< );+ ) " 71kr,1%&,1< 0LK,171% 2 " 7101,1X'4% Q1<*% %&7 kr%&){š 01IHl?&<%&78'= 371I'+-7>'4 7C% +5,1k$6 %&7>'+B'4 " 7 01% )h+ Q1<%&H " 7 +-Q1QY+5<4+BZ*' %&7 01?&C,T' 01% Q1*QU%&)3*71%59fDE,1%&)3DE,1%& H%&2 " 7101%& +5Q1<& )h+ 6 3H% %&7 Q1<%&H " 7L9 D!,1 01?&QY+5H% )h+ p5+5)*%&,c< 01% )KP?A'+G' I'+G'= " 717Y+5*<%gdY7Y+-) 01?&2&< " 3H=+5712&%s)3*71?q+5*<%g01%b)h+ Q1<%&H " 7ˆ v + XG g%&)3)f+g''4<*c,1%2j% Q1c1?&7 6 &71% Š )h+ 2 " " 6 Q1<%&H*13)*X'4? %a' +5,/. %YHl%A'= 0LK*71%&<('43% 01, kr%&) '=c1i. " '=< " QU% Z 7 '4%&6 Q1 +-H%\ 2 ",1<('

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58 $cg!%c LN#J#ObEP%A& BSWYEP%ZaG CGMBC LC#BJ#H EcLEPT?C ² N#H ILC#%LA AkGJ B" C I@ " A&H I6G±EcOQG C#O C#Ö G!%J#C gh"dẅ L?8G!A C B" IA&IC#@ A&OCPp N#H H CšO?"ƒ@&CšH Ö badc lž 2 {l A C#O g N#H "OCA&Oqªb"C#ON#CeJ#OJ g "C C LC#BJ#H C#8G I@&" v BC LC#BJ#H EP%LC# "OC N#?OB"DAVG!C %Cv3LA BA&C C#O J#N#?"@&C#H C#Ö G gh"dẅ Ec" %C#I ˆ Š lž±l u ul n3qk=.8 243: H7QB84GBGKC C 6 C = si C : H Q.8 G.GKC7C 6 C = badc ž 2 H ILC#L%A&?O BC#MIN± C# BC TQEF > G\EPIC Š LAVG!"bEKG!A O BA wj#%c#oqgc# awa H I^LC#Ö G I" N#CGLGC JG\EPIC C T?Ca@ N#?H H CaON#C _ %C BJ#8GL"NG"D%C# %AVGMIL # IbEcLAšˆ?ac l ž 2? p%avg$ec" N#C#Ö G!%C N#?OB"DAVG!C ˆ badc lbž 2? Q l xay@ C G!C#H I BdẄ EcL G GCaH IJ#!EKG!"%C Na?OQG!EcA&Ö G!C #OC# N#OB"AkGCPl I JaO?H #OC BC BDJ#6G!%"Nu G!"E;GA&?O B" T?Ca@ƒC#6G %J#TA C#Ö G p gh"ašc#8g I@&" v3?8g IL # IbEP%Al m A BJ#8GL"NG!"E;GA&?O B" T?C#@ LC v EcAkG IbEP%A ic#%$@ C NaC#Ö G!%C N#?OB"AkGCKl G!C#H ID BSWYEP% G C#8G LJ#T?A&H C G! C#LH A&gh"C OSẀ C#8G IbEc C#ON#%C JG\EPe@ A BbEPO N#?ODB"AVG!CPl > O IbEP6G!A N#"@&A C#ap Ec" N#C#OQGLC N#OB"AVG!CPpq"OC G!C#H IJ#!EKG!"LC I@ "J#@&Ci?JaC IC#LH CG BC N#?OD%C#8i?Ca "OC N#?OQG!EPA Ö G!C I@&" v EPA e@&cplfm A OLAp@UE BJ#6G!%"DNG"!EKG!A O aẁ A&OAVG!A C EP" N#C#OQGLC N#OB"AVG!CPl badcqžÿ 7 J#8GL"NG!"E;G!A O B" IbEP%A badcbž 2? J#8GL"NG!"E;GA&?O B" T?Ca@ EP" N#C#OQGLC > G\EPIC Š Z E BJ#8GL"NG"!E;GA&?O B" IbEP%A LC v EcAkG BC ILN± C C#O ILN± C OT?"DC#" N#?OBD"AVG!CPls $?"D Eji?O "O JaN#?"@&C#H C#OQG BCMG{IC e?"n±?o GL # ia&%g "C#"wl "A&š@ CMe?" N\ O BDC TC#@šEc" N#C#OQGLC BA&H A&Oh"C EPBAUEc@&C#H C#OQG T!PN#C EP" CaH C#OQGjphµL"%g "dwy_ N#OBAVG!A OnBdẀ J#N#"@&C#H C#OQG JG±EPe@ Asˆ badc lž 2 }Q l Z Z " H _ > O G BJ#8G!%"NG!"E;G!A O B" T?C#@Ec" N#CaÖ GLC %C IL; IbEPT?C %" OT?"C#" N#OB"AVG!CPl C# IbEcL?A #WJ#%{BC#Ö EjiC#N NaA!EcA&@ CaH C#OQG I"DA BA LIbEc!EcA&%LC#Ö G l OSp O?"D %CG!L?"qi?O "O J#N#?"@&C#H C#Ö i{a LN#?I@UEc8G!A gh"c CG G AqPGL?IC 8G±EKG!A OObEcA&%C ˆ badc lbžÿ 2 Q} ul badcqžÿ h J#8GL"NG!"E;G!A O B" IbEP%A badcbž 2 J#8GL"NG!"E;GA&?O B" T?Ca@ EP" N#C#OQGLC " Eji?O J#TQEP@ C#H C#Ö G Ji?@&"qGA&?O Ec" N#"% BD" G!C#H I N\ "qgc BC ILC#%LA O B N#OB"AVG!CPl > O C#OQGLJ#C N#OB"AkGCPpz@&C ªb"A&BC C#6G CnG!?OA&C#O A&ON#H ILC#%LA ed@ CPp N\ h"fgc BDC ILC#%LA O OJjEPA LCPl "A ap@fe N#H ILC#%LA AkG!J B" e"n\ O BC TC#@œBD?OOC "DOC v3%h C CufI^OC#Ö G!A N± h"qg!c BC ILC#L%A&?Odl > O OdpƒC#O > G\EPIC fpz?o N± h"qg!c BC ILC#L%A&?O BdẀ "O J#N#?"@&C#H C#Ö G 8G\E;GA&?OObEPA LC BdW"O el"qg I Ec!E* OA g "C ˆ?ac l ž 2 Q}? l

59 ( ž? Z C N#H I6G!C#H CaÖ H BJ#@&A!EKG!A O BDC# el"qgmibepe- ODA gh"ca )r*!,.-0/ 1 =$I H8 1 =$I H8 1 =$I H8 /,.- / 0?ac ž 2 h² > i?@&"qg!a O N± h"qg!c BC I%Ca%LA O Ec" Na?"L B" LC#BJ#H EcL!EcTC m N% BdWOC BC#LN IqGO ILJ#N LC B NH I 8G!C#H C#OQG% J!T g"ckp{o Eji?OH Ö GLJ g"dwo e#qg IbE$!E&% O g'( ) O( % J!T *( N + I!*(u,( I Lg"dW! (#.- (/0-1O(#O I 2(# -(+ IJ)&-#(a J3!(iJ(# ˆ up9(- i:;< =!>)?;@-A"( (- -! CBD?-#=( = 2(; -1(3+ =E)&-#(; =!*; FG)$;#;(; H54 7I JKML ( =!;3NO!G;(QP8+ (0 F<TS 2( U (3!GSE-1EU V( < + =(;#;F!*( HW)$==G)?X- 2( <Y)YZ\-1E3; 2(]U )F ^K_=a2(PW)$F!(;b-(+ =E31)c-1(;dHe4 f 4 JKML gh) 2X% <!\-1E= a<y)?)?<i-1e;(a -1(3!jG2(kZ:( - 2 Pl)?\- A'( = <3(; -1(3+ =E)&-#(; <X-A"(3;Ǹ!>) <3 O-)?*O-1( ;(*!b(-!>) Z:;< ;X-E 2E=(2( - 2(!m) n)&-#( 2 F,-(-2( ; S*;.- *#(d+ E<)?*A"( (-k-s(+ *A"($Lpq*G)$!(+ (O-N F#,-r=G)$1)c% A"( (;@- 2E<#\-Q=G)$0 U )$2 + F( 2( =G)$1)$+ V-1(;QSE!U *A"(;0(-d+ E<)?*A"(;d -1(2E=(2G)$O-;L gh) #SE!* U( < + =!*(sb,( 2uv F,- =G)$1)c% *A"( (2 ;) + :2E!*;1)c-1* 2X% <!*($Lw EY)$+ *;N9x =n)?@-1*y2( + 2V!*(;y;+ =!(;3N")?+ E!* E;a(-z(3#*<TS*;k)$ < ;z2(;)$e(;n*!(;.-=;#;f!*(q2( =E2(Q!*( <3 + =@-1(+ (O- 2uv -(!bf#,-!#; 2( ;# #(2E+ )$#)?U($L{g( + 2V!*( 2( ;#}c) =(+ (i- 2( 2E<(!>) =SE + E!U *( 2( <( =#<(3;#;;!( =!*; 2V3!(+ (O- =;#;*F!( (- 2( 2Ei-1(+ *(!>) =(;#; 2( (2E+ )$1)$U ( )YZ (3< ( F ( =E<;uL9~ + ( ;!( + 2V!*( 2( ;#}c) =(2 ( <3 + =,-1(!m) Z:;< =!m)$;.-<\-1ea(i-9!>)]-scbd?-#=($n*!?(;@-qeu )?!*(+ (O- E<(;;1)$(z2uv*O-#:2(y!(; ( (-;-S(#+ A'(;9(-_!m) <3 + =#(;;#*F!*X-EdA"u;#O-d2(;rPW)?<i-1(;0=#E2+ *G)$O-;k!* ;2 (2E+ )$1)$U ( 2uv F#,-0=G)$1)c% A"(&L ƒ un{( FG)$;1)$O-?-( #EjG(sBD ;Q! ve-2( 2 <+ =.-(+ (O-d2(; F,-;Q=G)$1)c% A'(;N{ ; )YZ ; E- )?F!* ;<EG)$#* 2u )? - (- 2( #(2E3+ )$#)?U( 2O-!*(; =#*<=G)$B )$<-(#; ;#O- {!(3; ( (-; -S(+ *A"(;!* ; 2(!e )? -YN!m) <+ =(;;#*F!*X-E (-!m) < -1)?*O-( ;(*!y!#; 2 (2E+ )?1)$U ($L pqg) ˆ!*(+ (O-NŠ!*(; <2X-;d2G)?;!(;A"(!*!(3;!eE<!(+ (O- (;@- )$# -1E O- (,jg(<( + ;#!*( =<(;;#; 2( #(2E+ )?)?U($L ;eng!m) + 2E!*;1)c-1* 2 #(2E+ )$#)?U( 2uv E3<!*(+ ( - 2( F,-; =n)?)&% A'(;d2 \- -( )?<<+ =G)?UE( 2(!>) + 2E!*;)c-1* 2(!e )?-02( <(i- E<!(3+ ( -YL

61 º º ˆ dë E "!$# % & '(*)+#, -. 0/(/ $N :9. ; ;8-5. *8 < -. $>=?8 / 67. *@A=B. 9 C 3D- -:.. w < I@ J. 8 K. L CMI 3 N O/ P8-5. HQ D- S/ T S 3 6S58OU V=B W@ / 6 3 6S. + U / X. /. 5 8 U 3 ˆ -: H;Q. 8+7@ 3 8.D- - M / <6/ X5 KZT*Q ƒn\ ] ^ N _ Dba5cda _ N. - GeD M - 1g J / / - / >H \ 5 - M -. U 3h- / d@ M D- i - /j1 k lfm 8 / 6. 5 X - WMI / I U /. 5 - / H \ / / / I@ - -:3 - If 8 / ˆp 1 / X - n 7@ MdCˆ / 3 - X5 q@ -:. r. s, - f SI 8+ Hu - q 6/ A@ / - S58$N. 6.. P/ / I@ v - Xi -xw v 3 67 ykz _ { P}~ ƒ _Oc T }ˆa Š Œ y HŽ 8+1 d@ < :. v - Xi -xw v / /j1 -:3 G HY. e. N X5. 8 N/. /.D-:. V=?. n. /O@ - - <6P+P N@/. M6 <. - < H & ;)J# # &!š * \ -. q@ -:. /+5. 4M -. 5 O/. W/j O@ CM6. X /. œ - 9. / 3 MI / 3 - X5 51 fc :5 3D- - g < H žrÿs N I A C Y T ª N «N I I v -. œ 8O@ P± + ² ³Cµ.. 5 XM 3 H - /. XM r. 8 /. W/ =B8 / 4 ¹xº ¹6» ¼ ºI½ ¾: À -:. W Á ²Â³µ O Ã HGÄÆÅ Ç ¹ ¹6» S 4M8 3D- 3D- ¹ ¹6» À È È»W¼ ÉÊ½ N º - - M6 7 + M /+5 OMd45 H ½ + ½ ¾. W 3 /+54M. r < O+W@GM6 <6. / H / 3 / 3 9 C5 3D- -FE. Ã 0Ë7ÌJ~Í Œ Î 5a Ï ÅMN. - M.. :58 >=?. n D- S J - / < - C 3D- XÓH w =B S 3 6 en;- - M ºÍÔÖÕ µ> U Õ - 3. "H0 œ - / G8 :51 Ù 51 9D- Û. W@8+e. 3D- Ù Ú À Ü Ý È º È (Þ Ú + Û À ß Ü Ý È º È Õ ÞPà Ã Hás6Å - /. XM - - Ã H4ÄâÅ =?8 / 4-6 È º È Á ¹ ¹» ¼ È º È Õ Á ¹dÕ ¹» ¼ ºI½ ¾6 À -. Á ²Â³µ O Ã HäãxÅ

62 ! s K - 5. O< CM6.D-. 5 Ä. C5 -. Ã Hás6ÅMNh. - e.d-. Ù Ú ¹ ¹» ß Û ¹dÕ ¹6» ¼ ½ ¾6 À -:. Á ²Â³µ O Ã H Å - - M 6 º S œ D- -ŠE U - 3 / X - -. Õ H, g 3 / S - 3D- -FE. - 33D- -. P+PW- Md / <. $Nx- M - - M 6 - M / œ - 9 H 3N. 8+5@. W / 3 S. W@ 9 3D- -ŠE Sr. œ 8 U - 3 / S H. en / I E / D- Û S. 8 <6<8 +W- /. SM =?8 / G Ù Ú Ý È È» ¼ Éá½ Þ ¼ ½ ¾: À -. Á ²Â³µ Ã H Å K=?8 /. XM =?8 / Gqe.D-. q. œ NC@ MIG - / d E / Ù Ú A=? S 3 f H žrÿ>ž N I Y T Cª N «N P Cª «; ( - /. SM - - -:. CM6. =B8 / 4 º Ý È È» ¼ ÉÊ½ Þ ¼ ½ À ½ -. Á ² ³Cµ Ã H^ Å Ç S. W@ fd -p/ H \ O. 5 d@. r. 6 š À º Ã HÅ Ç S - -: MI / $N+ - H Ç 8+5@8 S 5 g MI If Ã - Md / M H4Ä u - HB -. O@ u - H? jår+ =?8 / 6.. H" W8 / @8 / -.D- - M rœ - 9 Ã. 5 Ä + Ä Å H žrÿ Nª «b P K I ; P " I@g MI / 3 - S / 3 9 =?8 / G "$# À % Ô'& ( Ø É) ¼ *,+.- ß % / 10 + ½ ¾ ) ¼ 6 ) 6 É$798 :<; 6 6 = 798 ) À ³ :<; 6 6 > Ç 7A8 BC:ED F- DHG - ;. DIB :JBCKL;MF.N - F- M ;M: :<;OD 8 FPKLQ ;PSKLB B9D 4 FMB DHB. :<BCKTG ;@ B. DH;UD 8 H Ã?<?2Hl Å

63 s ) À ; 3D- G & % * ½ ¼ ÔÖ½ Ø 2 BC:EDFPB DHB. B : D - K B GJQ - B9D & ( À % 6 ) 6 HÍ - b F a } + Îˆ >a+dba 6 É 6 B : ;PB 3 G % Ü?J? 8 KLQ 8 G<;M KLB ( FPB D - K B GJQ À?J?!#"xÅ Q Q :J;'&)(CGJB SKLB FMB+* KL;&LB-,9DIK)&T;',BC: D K * KL;'&TB.&LB / BC:CN F 2 ;P: :<;OD3, FMKLQ ;M KLB - BC:ED KLFPFMB!54 K DIGJBCQ B :<B G % B :&LB 2 ;P: :<;OD3, D K ;PSKLBCQ B D6&LKLB : K % ;M: ;PFMFPBCQ B D K<; 2= GJ; :>&LB FPKLQ B!? ; FPBCQ B D N F ;@&LB Q G DHBCQ B D :AB, % G<;OD C "#! D E %GFIH (@J & É * ) K L / +M N=O P Q 6 Q 6 É$7 8 :<; 6 D 6 = 7 8?J?S!UTWVxÅ Q E :<; 6 D 6 > 7 8 X B Q G DHBCQ B D &LBC: * KL;'&LBC: 2 ;M: 7LF :EDI;M KLBC: 7 BC: BC: D &),CFM;P:\, 7 G KT: 0 ^_=agb! ;? F &LKL;UD & : FPB &)(CFMB 2 ;M: 7LF :EDI;M KLB K 7 G Q (9DIGJB &LB : DHG<K % DIKLGJB c SKL; 7 BCGJQ B9D &LB G<B % Q 7 DIB &LBC: Bed 7 BC:!g4 ; :J;.N F DHG ; DHB :<BCKL;MF B9D F 2 ;M: :<;OD3, Q GEDIB D % Y % K B K 7 B GEDI;MB 7 BCG<Q B DHB G<BC:\7 B % DI;2 B Q B D 7 8\h B9D i Å B9D K B 7 GEDI;MB 7 B GJBC:\7,B % DI;2 BCQ B j i D 7 8 BAD Å B9D :Ak, % G<;2 B D &LB F :JKL;2= DHB C m FIH n 9p c J E Hqi P c j i J sru n 798vHwc J E 798\h P cl798 yx\x!ut1tæå z Ç { : } ~ 7 Z= (e}z & ƒy), z * L;&L;U % u}h;z1! A#= ˆ}3 7 }Š ~ 7 Z (e}z & : }3 \ % }Z ) c : } \, Œ ;7 =.~Ž ~z ; & Ak, 2 z ~' ˆ}H;z1 } 7L::\ L;2 },Œ =~ } 7g7 ~,, G}H;z1 & zz C c v E HL K c J K ec sš n!ut _ Å yx\x z Ç } : z1 } :ƒ7 % }H;2 } ~ :œ7 Z= (e}z :-& : }3 \ % }3 g 3u}I;zv }.& &),C: }Z ƒ % }3 ) ZG}H;z1 }-ž 7Ÿ Z (e}3 & A#Wƒ L: } }! : ~ ~M;U}\}3, ZG}Z ) ^ b ^ b ^ Wb Å ~ } ƒ & Œ = % Y A : }:Z ;M: 7g~P;% ; ;U}Z,ª& 8«l z1 % ~ ;' =! / A# Œ ;U} ;'~ & AB &), J;2, 7 }I;% )~Ž ; z & Ak &), J;2, } 7 z ~'~ ª% ~ :<:J;' z L: : }I; z1 : ~ Ÿ }H;U}Z, c : }œ}3 Z :ƒ7 z }Z, 7Ÿ ~qak, % z )~ } }œ =~ } )z L:œ, % J;2 zv :-~ ~z ;@& Ak, 2 z ~ ˆ}I;zv &g 7 Z (e}z & : }Z ƒ % }Z ) ; :<; C È P O ÉM c E HL K c J K ec sš n!utw±xå yx\x 7)~' L: ˆ~qA; * % & ~ } 7, ZG}Z ) :ƒ ) œ~ % z 7 z } } & :-²) ƒ ˆ}H:œ7 ZG³ ; : : }.7) J;P: % z 7ˆ} µ }3 Z 2 <:9~ : a 7 = 3= (e}z :&) z &)( ~ & ] z L: 0! z L: & zv ) gzv :.% : 7 Z (e}z : ƒy), z ~z Œ ;' :µ& :-~z ;P:µ& }3Y \ z &), 7 & % ˆ&),e} \ ;, :œ& 8y l z1 ; 7, <; }=~ Œv Z¹ % 7) z } z % z ~ &g, 2 ~z 7)7, 7 $»º 0 º ~'~ ^kagb }œ], } ^_1 5b ÅÈ!? ; =~ e¼9½g¾à ÁÃÂ«ÄZÅ+Æ Ç }» ~ z &)( ~ \Y), z ~z Œ ; & ] z L: 0 7 z ) -, % z g~ } % z 7) :<:J;'²)~ :AB, % J;U} C È c

64 _ 6 G}H;z1 :.Œ z 2 } : D E FIḦ p p n c J É Q K L HM N1O J P Q 6 Q 6 É7A8 H p c J :J; 6 D Ḧ p c J Q E :J; 6 D H p c!t Å J x\x È c È P O ÉM c E Ḧ J HL K c J K uḧ J c sš n!t Å x\x 2 % FIḦ p p n c J E ui H J P c j i H J sru n } 798vH p c J E 798\huḦ J P cl798 Ḧ J! &),À ;U} ~ )z ²) &L; :<;zv ) ~ & ; Œ1Y = & Ak 8«l z1 Œv,, Z=~ % z ~ 3=7)7 z } & ~Ž % zv }Z Z ; } : L;~ } & ~Ž % zv }Z Z ; } ~Ž 7Ÿ z ; 7 : z ;U} C E 7 8 7!T Å x\x X )z ²) & ; Œ1Y = & % z 7 } & : d }H: 2 ;M: % z 7)~Ž : }I; :! 8«;}» & : ~ % : & Ak, % z )~ },À}=²)~P; & : % zv &) T;U} ; ;M:<,e}Z J;' zv &),À ;U} ~ % z1 }Z 3 ; } & % ;P:Z ;~'~ } ~Ž 7 = z ; E K j É! z Ç j : } ~Ž % Y ˆ} & 7) :<:J;z1 }Z ~qa }Z \, } ~Ž : z }H; & ~ % zv &) L;U} } ~ ~z1 Œ1 ) +& ~ % zv &) L;U} =! ~ } C!T Å " # E 7 8 $% x\x 2 % $ E K j! / ; "&# E ;'~ A 7Ÿ :œ& A d }>& : L;~q ~AB, % z )~ } : } % ;M:3 ;'~~', & :ª} z } ~ : % }I;zv! / ; ' " # ' L ;'~, % z )~ } & }(<7 ² z % Y zv & : : % }H;z1 & ~ % z1 &) L;U} =! s~z <:\ "&#*) L Ÿ~ * L;& 7 ˆ} 7 : :AB, % z )~! +-,/ :9<;>=@?A132 B 5 CD/EF2 587HG3?I5, Œ1~P;Œ }µ~ab, ƒœ ; & % Y Œ }-& 7gY : ˆ~qAk, u}i;zv & ~AB, ƒœ ; 7 z ) µ, % z )~ % } z 7) :J:<;²)~ :AB, % <;} C È P O ÉM MPO E K M N!Q K M NvO P D Q & : S T U pwvyx x\x z]\ M : } ~qak, \Œ ; ; } _^ * <; & &L;d T:<;zv )&),e ; 7 ~ ~z ; &? z ) J; Q E K cn M 2 % cn ~ % z1 &) % }H;2 ;}3, }3Y \ ; &g * L;'& G! X : ~z ;P:œ& ~Ž }ZY \ z &@ = ; )z L: 7 ƒ }ƒ} } & A; }3 z &) L; ~A }3Y =~'7T; :J:J;' $ C $ E M P J!T " Z x\x JLK ÈNM } 6$ E acb d P JL HL K e> J!_ V Z z]\ a>b : } ~ % 7 % ;U}Z, % =~z <; &) *Ÿ L;'& f ~ } 7, ZG}Z ) } e ~ % z ³ % ; } & &L;~ u}i;zv x\x }ZY ƒ ;' ;P: z ² &),e ; 7) ƒ, %, & }! ±!T az

65 J J J u x\x,c: z ~' }I;zv ), <; 4 ; :J;q zv, % <;} C d$ 1 E 1 M P L 1 K v yx\x J!_ T Z Ÿ& À=7) ƒ(c: ~qak, u}h;z1 & % z1 : 2 G}H;z1 & ~Ž :<:!UT Z yx\x z1 C v J E K J M NvOyx\x!_1_ Z z1 % d$ 1 E 1 M P L 1 P J M N1Oyx\x!_ ± Z ˆ}H;'~M;P:Z }-~ :-, u}i;zv :!T az!_ V Z }!_ ± Z L;'~ 2 ; xƒx yx\x yx\x } C J a b 6 v E c M P D Q P ec 1 & : S T U pwvyx!_u Z yx\x ; }Z z &) L;U} }Z z ;P: )z ²) : &L; :<;zv ) ~ ~M: C )z ²) & J; )0 L; &), % <;}.~A ; * % & ~ " &L;M:<:J;'7 u}i;zv 2 ;M:ƒ L: C E F c " H K J _1 Z x\x z]\ } : zv } :ƒ7 }H;2 } ~ } 7 ZG}Z ) ;} J; ) } ~ } 7 ZG}Z ) L; ) ~ )z ²) ) ~ }! M L; :ƒ ) ~qa;' 7 z } g ~ }I;zv C z1 #" M E J acb cn ~ x\x )z ²) $) zv \ } A : }I; µ~ž ~z1 Œv g A(e}S ²)~M;P:J: } Y = ) } ' Zu}3 ) C % & L;' ' E c & J a b E ) ) _1 Z ) M z ~ )z ²)!) x\x % J; +* " : } ' }I;} }Z L } L ) -, : ~zv ~ ~ : zv ;}I;zv : z } A( Z )z L: Œv~M;'Œ zv : ~ } ƒ ~Ž ~M;. ;P:J:<;/' G}H;z1 ;P:\ " L: D Q ) ~qa0 u}i;zv ) \Œ ; _G ~A( Z X z ³ ; } ;'~ŽG}H;z1 }3Y ƒ ;' 2 ) 2 ;M: z ² = e : }3 Œ =~ }? ; ~ }Š G~qA0 }H;z1 ) ƒœ ; Œv~M;'Œ4 x\x1 ~A( : A0 <;} C J acb P O 7M K65 O E c M ) : S T U pwv X _=a Z x\x 5 +-,98 : ;=< ;>=@?A132 B 5 =67H;32 4?> 1 A E =CB 1-B 5 D E F \ 3=Œ G IH ²g ƒ ˆ} ' = 3u³ ;' }3 K')~ ON» } ~ ²) \ ˆ} ' = ²g ƒ ˆ} = z1 JKHB ML ŒP ~M;U Q 1S L; ) ; ;q ;~ ²) ƒ ˆ} } ~ ²) ƒ ˆ} z1 } T J J }Z U ŒP ~M;U Q J ; ) }H; ~ } ' ZG}Z ) ;'~ z J J ' JUJWV) } ') z z ~z Œ ; ) KJ ') <;/e} J S JX ; } ~z ~Ž } ' 3u}3 ) = <; } z ) ƒ z L J J " % HB KJ ' ; )z z1 H;'~ } ; z }S } ) ') z 'ˆ} )z ; J ' J J J ' ~ KJ ' S V J L;} ' ~ ')~ } J IH L; ) 'Ÿ ˆ}Z % } z )~ } ²L;f L; ) J} z ~M; ' J _ Z

66 6 G}H;z1 Œ z } J " J e} z ) ) S ') J; ) Z }H;z1 Ç "vz ~' ) Å ;' ;/' 1 Z ; }Z z L;U} ' = ; } } ; z ~ S J } ² g J J Á ;! a J" # ; ' $! %-'&( ; J! )& '! J J ; L! J ; J *& J9H +,& ;.- a! '! J / )&!0&O ; " 1 + ; S*& 2 ; *& J S*& 2 %1 + & ;14&65 78 ' &(!9 ; 3 ;!--J ; J ; +V! )& '! J : ; J *& J;4& ; - a < =!>! J & ;%! + ' ; ; A &(1!UJ 2 ; a < B ;12 2 4& + & ;1 ; 2 ; G H;!9C& 0! J$ : ; J$$!D! J ' &( : " &6!UJ a / + '! ; J J E! F A G! %-'&( ; JE& ; ' %+J '! ; J D ;!",&O - % ;H# : " &6!/- ' &(! : /+ ' a < B 7JI GH J '!D '! ;. J J -LK MN Z J ; J A J>! J ' ; " + ; ; J AO T ; J ; - J '!> '! ;/ J + J 9H + J> # ; J ' &(!QP J < JS a T J ) U =OV a W XDX Z K < K a T K ) U =QV a W XDX 6Y Z FZ MN < MNE a T MN"\ U =OV a W XDX Z A Z G & J! " & ; 4& + & JWJ '!21S*& 2 ; JKH! ; P 5^]_ a a T c dhe 5b U _ gf W9h i < B ' $!j ; A XDX Zkl e 5 _ ) U =OV h W i T c dme 5b _ ) f U =jv h W9i < B ' $!j ; XDX Z$Znl 78 &O+ ; ; & X>X Zkl CXDX ZZkl -k! 0!D$ " H /2 *& ; J! " & ; 4& + &OJUJ XDX A l ' %+J/-p4& ; 3! J"! 5 ; ' &(!O 2 *& ; " ; ' 3! P h 5 T f 5b 7c h < B XDX Z6qrl sq,u vxwqykzs{ A } ~ ;=< ;zs ƒ y } < > 3 8 ˆƒ{Š ; &6 + '-x J9 J9V + Œ HŽ 2 *& ; J Œ! ; & 9HŽ +,& ;% + +! JUJ ;1 Œ H ;Œ ; J> / 4& J" ;%2 S ;: 6E!D L Œ j J &(!0& + V0! J@!US 15 ;%2 J Œ LŒ3 Œ )& +!E&E! JKH! ; P š $œ T f c b œÿž T c d f < B Œ & J B > j XDX Zkªl _ š f T f c f b ž T c œ < c d «Œ & J BS > O XDX Z$ nl _ h; š L T f c b ž < ±Ÿ²³c Œ & µ BS > O XDX Zk l h T f c h < B b XDX Z$ nl ± T f c ± < b U W U =OV ±LW¹V º U W>± ¼¾½» XDX Z$Ynl $ ÁÃÂ À «< Ä K U G» ¼ g±h h W e³å V = Æ U c d f W9ÇÈi T É Å Å É MN U g±h h W µ>ê É «É Ë MN U g±h h W Å < B µ>ê É «É Ì M N U g±h h W XDX q F l

67 Œ f c ª( XDX µ Ê + Ê2 & K U G» ¼ g±h h W8< š U W"h T U W ] = V h a^t ± U W9h T U W ] = V h a ž ¼» M N U g±h h W;< M N U W9h T M N \ U W ] =jv h a T ± M N U W9h T M N \ U W ] =OV h a! "$#%" & ' ( ) *",+ "$#.-/&! (! + ' ", -! 021/34 ( * # : 5 ; Ê Œ 8=<, < µ >Œ Ê ;? 8A@SÊ1µ : 5 ; Ê B DC E Ä l > 5F,, G8 < µ H ŒI, µ <%Ê Œ Ê B µ JLK NM NOQP 5 D µ 0, µ <8 4ST VU UWYX( 7.8 >: Z µ;8 \ ] ;^ 8(ŒÊ_8=< Œ 5 \, Ê ; µdµ µ < < 5 a b \ µ4< µ >: Z µ;8 \ µ Œ Ê \ µ>µ µ Ê Œ ŒV8 \ µ@œ <_8 H Œ >, ] ;^ 86ŒÊ_8=< M r ced E gih;jlkm E na]m 4ST 0 pe \>, q r Ê U UWYX s >: 5 \ Ê 5 Œ3Ê Ê <%Ê : Ê \ µ^œ Œ >: 8(Ê Œu < : z c d µ <_8 < I9, Œu \>, 8 Œ <_v Œ <8B < < <8 \ :, 8 \ v <_8 V8 $Ê µ Œ3Êxw, \ Œ <8 \ : 8 ; Œu \>, 7 µ 3ŒÊ Ê <%Ê : Ê \ µ Z < Œ >: 86Ê Œu < : µ > Œ 5 8(Ê < <, µ Ê Œ µdµ µ y z <W \>, 7.8 < 9, Œu \>, ced µ N^ Ê1µDÊ µ b{ µ\8: : 9 8=Œ Ê \, B <W < : ; 8= µ Ê 8w 5 0 G8 < N^ 89 : Œ \ :, 8 ; v <8 V8 Ê < µ};µ < < < ~,: 5 \ ŒÊ }V µoê : Z µ >µ µ>µdê > V<HŒ Ê ; µdµ 5 8 <1Ê Ê \ µdµ Ê : Z µ, µ >ŒÊ Ê >µgœ Ê Ê N^ < 5 µ > Ê : Z $µ, µ¹µ b ; µƒ< µ 9 8Œ, µ;œ < ~,: Ê ; µdµ } µdµ>ê / \ :, 8 \ E ˆ ; E gih\jlkm UU ŠIX? E gih;jlkm UU Š µdµ>ê Ê : Z µ, µ >ŒÊ Ê >µ Œ Ê Ê Y^ < 5 µ > Ê : µ µ µ <8 µ>µdê >u} <_8 \ :, 8 \ µ <8 : Z $µ\8= ; 86ŒÊ_8=< Œ <8 Ê ; µdµ µ ŒÊ Ê µ Œ Ž, : 8 µ > Ê : Z µ, µ µ <8

68 Š : <_8 Ê > : 8 \^ : 8 Ê B ª >: Z µ;8 \ 8A@SÊ8< Œ <8 Ê ; µdµ E Ŝ O E ˆ UU Š œ E œg h\jlkm UU Š Š E gih;jkm UU Š ª y z <_8 V8 $Ê >ŒÊ Ê Œ > 9><1Ê1µDµ : µ Ê : Z µ, Z < N^ 8: Œ Ê \ µ>µ 5 Œ µ >ŒÊ Ê >µ <1Ê : Ê ; µ Œ Ê Ê Y^ < 5 Z <_8 \ :, 8 ; µ 8(Œ $ E, µ 8 V Œu Ê : Z µ, 5FL $Ê%ŒÊ1µDµ : v <W < : gih\jlkm Ë na]m Ž µ >µ Œ > V8(µ >: \ < F \ : v <8 V8 $Ê E E ˆ UU Š E gih;jkm O ced n ]m O ced UU Š y q <W 8A@ Œ µ : 5 \ Ê y z <_8 µ ] Ê E K E ˆ UU Š L K E ˆ UU Š µ 3ŒÊ Ê >µ <1Ê : Ê ; µ Œ Ê Ê N^ < 5 µ Ê : Z $µ, µ µ I <_8 >: µ;8 \ 86ŒÊ_8=< Œ <8 Ê ; µdµ 5 µ <8 µdµ>ê <_8 µdµ>ê µ 8 Ê ; 86Ê v µ I <_8 µ 5 Ê > Œ µ r Ê µ >ŒÊ Ê >µ;œ Ž, : 8 µ Ê : Z $µ, µ8µ <8 \ :, 8 ; µ <_8 : Z $µ\8= ; Ê8< Œ <_8 Ê \ µ>µ E O E ˆ UU ª œ E ˆ UU ª X L O E ˆ UU ª?> + ( *' #%"5 + ' # 1/+ ' #." ( - 7 < ~,: Ê \ µ>µ µ>µdê >, >: µdµ>ê< µ, >µ Ê \ µ B 8 Ê >µ, >µ, 8 Ê > <8 : 86µDµ <8 B 8 Ê : :! U U#"$ &%! U U#"' )( 5 I : ~,< ^ >< >9$Ê B! UU#" Š " 7 < ~,: Ê ; µ>µ µdµdê >, >: µdµ>ê< 5 < µ B 8 Ê µ, 9$Ê! UU#"$ }, > > Ê! U U#"' /5 *! U U#"' ) µ > + µ >< µ 6F 8-,,, <, "/. 5 ; µ Ê > µ Z, : 5 F : <, <_8 : \^ : 8 \^ : 8 Ê B I 60 µ µ1 µ ~,: B 8 Ê µ < <%Êb Ê B µ <%Ê, 8(Ê µ! µ21 µ ~,: Ê ; µdµ µdµdê >! UU#"$ &%! U U#"$ (! U U#"Š " Ž µ ;, : Ê 3µ 5 \ µ Ê Ê 8 <W 8=< 9 Ê \^ : 9, 8< 0 µ < b Ê > "

69 ³ µ >< Ê : Ê B % UU!" $#% &' ( )* + & '", -. +/+ / + /( 0( <87 3x{ :9<; 8 52= <_8 =43 : 9<8>; 36?@5 5 9: :1A3B97 7 =DC = )38=?) <8 = ; 3B927 = 7 = ; 38=A= 97 7 <_8 5?@5E :1A3 8-3 <3; 7 <8 <?F3G1^:? <? 9 3B97 7H; 7 <D ; v 8< =+ : 7 5 ; <67 =?F5 ; ;I7 = 8 5= <87 =J ?F5=J?@K <67 C L7 = ; 8 = 38= 8 3 < < "IU < 7$@ 36= ;M7 7:9H@ =6F 8: 3 < <67 = 7 : ; ^? 7 = : 8 E ; ^ : 8N; 3 BO97 = $? 9 1P10:=A? :7 14? < ~,: 7 " 7%8 1 7,: 3 ~ 1 7}Q; 1 ~ = 9"; 3 <36= = 7 5? : 1 7:9 = 7 = = }?@5=A38= ;I7 v 10 9@9<_8 1A38= 7 1 <_8 <?F3 7? : $?@1 ;I7,: 7 5 ; B9G8N; 38?F5?F5 ; " 7e = <?F38=S10 9F9<8 143TE = 8 5 ;I7 = <87 = <69 = = 7 = ; <_8 <?F3 7$@ $?@5 7 5 ; 37,< <67 14?$?@= Œ = ;N8 =A38? 9 U ŠWV ". 7H;A;I7 : ; ^2? 7 7 = ; F 8 3 <87 v : 7H;A; <8-:7 8 1 <87 5? 9 78W9 1A? < ~,: F9<_8 1A38=+ 7 = ; 9 1 7,: 7 5 ; 38= " E 8 5 ; } <67 1A3;\~ 1 7 $? = 9V8<36= 7 1 <87 = X:?F5 7 = 36= 8 3 < < 7 =ZY>5?@5E 36= 8 3 < < 7 = : 7H; 8 = 7 3 w : A3 9? 9 1 7:9 = 7,: 7 5 ; :7 =D ?@5= 9 36= BO97 <67;M7 5= 7:9 1 7 = ;N89H@ 7 5F\?@1 : 8>; 36?@5 5 7 = ;];8: 8 36== ; 143H;I7: ; 9<! : 8 38=^= 7:9<67,: 7 5 ; 1A? ^ 7 7 " p 5 F 8 3; }A<87 =_X:?@5 7 = 38= 8 3 < < 7 =YN5?F5E 36= 8 3 < < 7 =a=4?f5 ; ; 3 7 = 9 1Ib :7 v ;;~ 1 7 7?@5 * 36= 7 = " 7%8 7:9H@ 3 ~,: 7 : ; ^? c?f= 7 = ;I7 ^53 BO97? ; 3 : 38= 8N; 38?F5 =A? 9 =?@5 ; ;I7 = =<3; := v <W : 9I<d; 3 <38>;I7:9 1A= 7 7.8= F7! 9 89"; 7e; 7 38?F5= ;N8 3 < <87 5 ; 7 F 8,?F5 1A3 9? 9 1 7:9 = 7 <D 8 5 8=<1 = 7 : 8N; ^ : 8N; 3 BO97 7 :7H;4;M7 ;M7 ^523B = U X %V ". 7H;4;M7 : ; ^? 7?F5=436= ;M7 v : 3653 : 38= F\?@5 H; 38?F55 7,< <87! 8 7,< 7 7% >: 7 5 ; 7 5 ;I7 1 : ; =A?@5 $?@365 ; Ef= 7,< <87} =A? <89"; 38?F5 9 1A? < ~,: 7}Q9 1Mb :7 v 9 5 8< 9?@1A3; ^ : 7 ' X 8hg 8 " <8 8 5 ;Y89@7 7 :7H;A;I7J;M7 ^53B97 7 = ;4B9u7,< < : 7H; ? : ;M7/<_8 38=?F5 ; ; 7 <8 <?@3 7? : $?F1 ;M7,: 7 5 ; " :=4?F1 : 8 36= } 9 38= B97 <87 = X:?@5 7 = 52?@5E 36= 8 3 < < 7 = 7 <W? 9<67,: 7 5 ; =A?@5 ; H; :1A38=+ 7 = ;I7 5= 7:9 1 7 = ;N89H@ 5Fi?@1 7 : 8N; 38?F5 = ; 1A3e;I7,: 7 5 ; 5 9I<W}H<87 =( ?F5= 38= 8 3 < < 7 =ZY>5?F5E 38= 8 3 < < 7 =P=A?@5 ; 8 1]F 8 3;I7: 7 5 ; ; 3 8 <67 = ". 7H;A;I7 : ; ^? 7J7 = ; 8-?@1+ 1+:= 7 5 ; 7 $? 9 110:=A? <67 14? < ~,: 7 L9 5? 9I<87,: 7 5 ; 365= ;Y8N; 38?F )38= 7?) <8 = ; 3 BO97 365? : 1 7 =4=A3I<87 " p 52= 9 3;I7} 52? 9 = 8 8 ;?F5= :7H;A;I7 : ; ^? 7 $? 9 1P1+:=4? <67 14? < ~,: 7 L9 5? 9<67,: 7 5 ; 365= ;Y8N; 38?F ? : 21 7 =A=43<87 L9 5 C )38=?) <_8 = ; 3B97 " j kml ndp^q rppsunv wxsylhz@{} ~ik lh %su Gpv suqzf{$ƒ %v)lhlhsi ~iv Ž? 9 = 1+:= 7 5 ;?F5= -?@1+ ˆ ;IŠ? 7 7 x Œ 1 5 Œ Œ@ 7 5 ; $? 9 1 ; 1 3;I7 1ˆ7 h = a 9 5? 9 E ˆ7: 7 5 ; 385= ;Z >; 36?@ =?ˆ = ; 38Ž ? 1 7 =A=A3 ˆ7 =A?F3; ˆ7 = 1 = ;;~: 7 F ˆ 5= š4 Jœ!y A "%ž Ÿ D «ª 5= š4 œ!y A "%> BŸ ª ±>²P ³ ³ µh =A3 ª µh ³ =A3 ª µh!y A "%%@Ÿ ¹? 9 =J385 ; 1A? 9 36=4?F5=-ˆ7 = 7 =0 -:7 = ºi?@5 H; 36?@55 7 ˆ6=»= ; = ¼ ½ ¾ À Á ÂuÃ Äh½ )Ê!y A ¼Ë>½ ¾ À Á ¼ ÉÀÍÌÏÎÑÐ )Ê!y A "%-( Ÿ Ã ËÄ ½ ¾ À Á Â Ã Äh½ J¾ Å ÇÈšWÉÀ ÌÓÎÑÐ )Ê!y A "%FÒ@Ÿ Õ ½ ¾ Â!Ö» ½ ¾ Å Ç:ØWÇ Ùy A ÚÜÛÝ "%Ô Ÿ Þ ½ ¾ Ö» ½ ¾ Ùy A Ú ßFà Ÿ Ÿ

70 ± Ð ± Z E m?f1 9 ˆ N; 38?F5 N;MŠ : N; 38Ž 97 ÛÝ 7H; ˆ ºi?@5 ; 36?@55 7 ˆ8ˆ7 Ö ¼ Ë ½ J¾ 537 m 1 Ö ½*À ¾ À Ð ² É³ ½fÀ ¾ É Ð ±µ É³ ½*À ¾ É Ð À Ùi A ZÚß Ÿ 07 ;M = ;Z >; 36?@ ˆ Ž 9m N; 38?F5 Ùy A ÚÜÛ BŸ 7 = ; 36= :1 H; 38= m = Š : a 9 ˆ7 1 9?F ;I7 = 7H; = :1A3;! Ä?FK 7 = ; ˆ7 m =" 7 3# :1 H; 38= N; 38?F5 7 5 ;M7: = Ú$^? 9 1 ˆ6ˆ :ŒF7 1 ˆ * :1A3;M9 1 7N ˆ 385 3% 7 & 7 = ; = 9 1A3 Ú(' 7 ˆ9 = :?@1A1 7 =?@5 ) ˆ =A? 7 9 ;M = ;Z >; 38?F ! Ä,+ -. / a 43% ½! Ä Ü 8! Ä ¾9 - ˆ Ž:/ ;. 3%<=5 Ùy A ZÚ Û BŸ >.?1I ;@#.? - º BA <=5 -DCE ˆ#3% 63.?- Ú F5 5 É É 1G-6 1G 6H ˆ IKJ;LDM N O:N P9L?J=QDNISUTWVH m B1 ÉYX É ÉYX ]b_ É ± X Ùi A ZÚßWc Ÿ Ä\:]#^_a Ç ' d 1Ge6H f ˆ%<hgi3%5 Hj 3 -. ˆ Úlkmc žn prq H < p /. 3#<s5 Á ¼xË ½ J¾i / 1 <s p#e6u - Ùi 4 ÚÜÛ ž Ÿwv Ùi 4 Ú Û OŸwv Ùi 4 Ú Û@Û Ÿ -2H7..?-6p#p%- x / - y Ö ½f ¾ À z Á {# ¼xË Ö ½*À ¾ Ùi A ZÚß ž Ÿ }~q 3 6/ p.? q 5 Ḧ p q 1 2H < p /. 3#<s5 / 1 <s p#e6u - Ùy A ZÚß ž Ÿ -6H,. / - ) prq 5 <=5 v 61 3 ƒ q 3 p 3.? /.01 <=3 H 3 e6u -.?-61u - Ð ±µh É³ ½*À ¾ É - prq º<s5. 3%<=5 5-6p#p%- Ùi 4 Úß Ÿ Ú 5-5 <s/ƒ -6p#p%- ƒ qd1 3 q p#- ˆ Á Õ ½ ¾ -6H,. 3%5.01 <Š / 3.?-.0-6p%p#- x / - y ˆ ³ ½*À ¾ ÙŒGŒZÚß -. p q º<=5. 3%<=5 5-2p#p#- 6< 1G1-2H <=5 q 5.0- Ö Ž ¼ Ë ½ ¾ Õ ½ ¾ -2H Sqd1 y Ö Ž ½fÀ Dˆ ¾ Ð À : Ð ² É³ ½*À ¾ É : Ð ±µh Éˆ É Ð À ÙŒGŒZÚß Û }~q H < p /. 3#<s5 ½\ D ¾ Á ¼xËQ½ ¾ Õ ½ ¾ / 1 <s p#e6u - ÙŒGŒZÚ ÛBš v ÙœŒGŒÚÜÛ : v ÙœŒGŒÚÜÛFÛ -6H7. 2H < 1u q 3 H.0-6p%p#- x / - y Ö ½\ D ¾ z ˆ{% z À {% Ö Ž ½fÀ Dˆ ¾ ÙŒGŒZÚß@ß } -6H 6<s5.?10q 3#5.?-6H ÙœŒGŒÚÜÛBš -. ÙŒŒÚ ß H <=5. 1G-6p qžce 6-6H SqB1 p Ÿ3#5.01 <Š /. 3#<s5 - - / C u / p. 3 p 3% q.?- / 1GH - }~qb s10q 5 =- y / 5 a qbu - u / p. 3 p 3% q.?- / 1H - } qd s10q 5 =- H qbprq 3 1G- (Á Þ ½ ¾ <s/ 1 p q 1G-6HGH 3%<=5 -. / 5 a qbu - u / p. 3 p 3% q.?- / 1GH - } qd s10q 5 =-.?- 5 H < 1 3-6pF Á Õ ½ ¾ <=/ 1 p#-.0-5 H- / 1-6H 6<s5.?10q 3#5.?-6H p qdh,. 3 x / -6H Ú q 3#5 H 3 prq º <=5. 3#<s5 5-6p%p#- H / 3 ƒ q 5.0- Ö Ã ËÄ ½ ¾~ Þ ½ ¾ Õ ½ ¾~ Õ ½ ¾ª SqB1 Ö ½fÀ a \ Dˆ~ D ¾ ± Ð À Ð ² É³ ½fÀ ¾ÈÉ «Ð ±µ Éˆ É : Ð s FÀ : Ð ½ ³ ½*À ¾ ˆ ¾ : Ð À : ÙŒGŒZÚß Òs

71 " " * 9 9 ßFà ŒGŒ v 6H < p /. 3%<=5 5 / u 21 3 x / - } q H < p /. 3%<=5 ½\ D ¾ Á Ã ËÄ ½ ¾ Þ ½ ¾" Õ ½ ¾i Õ ½ ¾ -6H7. / 5 <s3#5. v HG-6p%p#- / }~qb s10q Ö -."-6H,..?-61Gu 3%5 6- Sqd1 y Ö ½\ D ¾ z z ˆ{# z z {% À ½fÀ a \ Dˆ D ¾ ÙœŒGŒÚ ß ÔW 5 ŸqBu 2p 3#< 1G-61 p q 6<s5Wƒ -61G =- 5 - / HŠH,.0e6u - f p < g 3%5 HGj 3-8. } - qdp%p#- kcbš n 1 < < HG- 5. Ÿ3%5.?1 <Š / 3 1G- / Gu qdp 3 H?q. 3#<s5 H / p% 6u - 5.aq 3 1G- ) prq <s5. 3#<s5 5-6p#p%- Ö Ú 3#5 H 3 p%- }~qb s10q 5 3-5v q / su H2Ÿ 1 3. y Ö D F Ö D ÙœŒGŒÚ ßFÝ < -6H,. / 5 H qbprq 3 1G- < H 3. 3 ÚF 5 u <s5.?1- œq 63 p#-6u - 5. x / -. <s/. <s3#5. v HG-6p#p%- - Ö -2H7. 6 WqBp#-6u - 5. <s3#5. v HG-6p#p%- - Ö kmc=c cbš n Ú F5 qb p 3 x / q 5. p%-6h 6<=5 3. 3#<s5 H Ÿ<. 3 u qdp 3.? 5 <=/ H <s/ƒ=<s5 H 1 3 1G- p#-6h x / q.?1-6x / q;. 3%<=5 H ŸF/ p#-21 <s/ 1 p#- } qd s10q q / su ÙŒŒÚß@Ý y! " Ö D # F $ % # & ' )( * 10 +, -. # / - 32 # / 4 - # / - 2 # / # / 4-9 # / $ % # & ' )( * 10 +, :;4 + # / $ % # & ' )( < = 3%5 qbp#-6u - 5.>Šprq? 1-6u 3 / q. 3#<s5 A ŸCB / p#-61ih2ÿd@fe61 3. y. 4 * : A q 5 H" G ŒGŒIHKJL! " M D N $ % N & O < +, 4 - N s / $E % N & O < 5 1G-.?1 <s/ƒ - q 3#5 H 3 p%- E qd1?qpe.?e61g- 3#5 E < u? 1G-6HGH 3% p#- A q 5 H p ŸD@FE21 3. / 1G- A - prq A - / C 3 e6u / q. 3#<s5 A ŸCB / p#-21 y s $ A q 5 H" G ŒGŒIHKJQ! S < u u - p q <=5 E. 3%<=5 M D 5 Ÿ4-6H,.3?SqdH 3 ƒ q p#-i- 5 T 5 <s/ H 3#5 <s5 Hªp#-iu 3%5 3 u / u p < E qbp - 5 UV? <=/ 1 XWCY@6HF«- 3 ƒ q 5.ip qdp 3.Z@ ƒ qb1 3 q. 3#<s5 5-6p#p%- H / 3 ƒ q 5.?- y M Dˆ M D % ˆ & \ *

72 U ˆ M ˆ ˆ M M M M Ï v = < 1u / p q. 3#<s5 u q. 3 x / - Q +, - / 4-2Šˆ / - 64 ˆ / - / 4-2Š / - 64 / % ˆ & \ < +, - ˆ / - / 4-32Šˆ / - / - / 4-32Š / % ˆ & \ < 5 u <=5.01G- x / - p q H < p /. 3#<s5 A - p WqBp 3.Z@ ƒ qd1 3 q;. 3%<=5 3.?- E 3v A -6HH / H 3WS- kcbš š n y 4 $ G HJ "! #%$?'& $)( * (,+ & E + ( & -/."&FE :<;>=?A@CBD@E9 2F249 GIHCG J M K L N 4 G O N"P Q G O NDP Q STG O N"P Q G STG O N"P Q G \ Q ]E^_] K ] O Y O Q L U ] a b \ Qdc +, 4 -)e QfP Q 4 K H / c L U ] a b \ Qdc X Y M Z G H JDVW! =gihf-d0i&kj &kh (/l 0m- A & + hni + #p$ - ( rq"h AsB $ 0r& + s@fe + ( J P Q 4 K L U G HJ! u vfw xzy {~} {~ dxƒ dw/ " ˆ ŠvFw Œ dž{ƒ " ' ˆ w/w/ gš ƒ- ( q A & E + ( &? A &kj j & h ( &k ( j -Dih ( &khf- h ( - A -? $ $ 0r&kj &kh ( rhn ( - ( rq"hnhf-d+ &.ši Ekq?n0m-D ( #%$ &3Ekq"j? + &ksr œ0r& + j - r l 01-? + &ksiq h h s-p?v?>- + -Ÿž(?n0$ UEkq j j & $ h j $ 0(?n0r E/- ( & $n+ A & ƒ- + - hn &? $ i #p$ &T01- E q h ( + -Dih ( & GS H DVW! h s&k + &?'q $n+g$ h $ A & Ekq j? + &kr n0i& HD &3?n0$ l 01-.š( &k& &k ( + j - r WFhnr& A - hn~ Qdc HŸ rhn l 01- hœq $."&k0r0i&«ªq"hve ( iq hœhn&k0r0i& M 2D &k Q c š O Q c ( WFhni& ±F- + J M ² Q ] ³C L µ e ¹ º'» c e½¼ ¾P Q ¾ºÀ» c e Á µ~â Ã ¾P Q ¾» c Ä e Å HÆ» c Ä Ç e ¼<¾ÉÈ Ê ¾º» c Ä µ e ËTÌ ¹ ³ º» c Ä e ³ È Ê» c Ä eîí H³» c Ð Ñ "!

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75 jjjjjjjjjjjji Ú Aq h hfunj WM A eu+n X ^ «"! #$ % ¹'&)( ¹'&+*,.- ¹'& / UL V 6 W %879;:< >=$?@ A #BB@C%87DBE!B$ %87DBE :< >F%G 67 H 6 JIK 7L A M4$ ON>PQ@ ST XY Z & ( &*, \ &Z ( &+*, &Z ( &+*, &Z ( &+*, U ] U ^ _ ab^ c X 4 V %d79;:< >=$ e\ #gfhb = ËTÌ¹ m& - È Ê m & ( Ín &+*,Bp &*,rq H\6s? kjjjjjjjjjjjjl m*, & ¹ m& Ä È Êvu@wx y &+*, - { ~} z n m& q x y &+*, n ƒ m& q \ - m & ( V E š h ;œ ƒ~w m*, & {ˆ z m*, & - n#š &*,EpD Œ& m*, q Ž s ) Š m & ( Š & ) \ jjji Ž3 ˆž<Ÿ kjjjl Ín#Š &+*,Bp &*,rq ( &*, Š &+*,L &*, n Š &*, pd m*, & q ( m*, & Š &*, m*, & Š &+*, Š &*, U ^ _ ab^ X b ª>!«HªO # H7 B ² 6³ 1VẂµ 7L$ µ m& jjjjji m & ( kjjjjjl { z ¹ º &+*,»+¼ m*, & - {ˆ} z n#š m& q»½ w ¼b¾ >À ÁOÂ {ˆ} z ÃŠ dä ¾ Å»+¼b¾ >À Á Â {ˆ} z ÃŠ ¾ Ä» Æ ¹ º ¾ À Á V E š ˆÉŒœ Ç Å»+¼ >À Á ¾ Â {ˆ} z ÃŠ ¾ Ê Ë ÌÍ ÎbË Ï Ð Ò2Ó µ ÔHÕ Ô Ö Ô ª š 8ª ØD # Ô4Õ K Õ 4IK ¼ ¾ ¼b¾ Ú ¼b¾ >À ÁOÂ {ÛÃ} z ÃŠ ÜÄ ¾ ÝÄ ¾ Ê Ò Ó µ Ô4Õ ªß Ö à B 3? µ ªÔ4Ö á Ô ¾ ¾ Ä» È ¹ ¾ À Á º V E š hþ;œ Ú Œâ ãgäåvæ«ç è V E š ˆ Œœ µ é â B + êªß Ö à µ ªÔ4Ö á Ô Ô ëìô V Œ 6 ± ª B Ø µ d 6 A µ ± ² d Œ Õ Ý Õ B B + µ Ê # Ö "í Õ Ô4Õ î µ? ÕIK ÜØB + ÃŠ ïð Ä Ú ñ ôòýó õš ¾ Š À Á ¾ õ Â ñ ôòýó õð ¾ ð >À Á ¾ õ È ö Á V E š ˆ Œœ } Ú ñ ôòýó õ} ÃŠ dä ¾ ¾ õ È ö ø V E š ˆùŒœ Ê ú Ú ú Â û ü íb µ ªÔ µ ª Nýí9á Ô 6 µ ONþí Ü ÕI 5 ¾ÿ Â Š ¾ ¾ ø ¾ Â ¾ÿ ¾ À Á V E š àœ À Á Ž ¾ æ æ

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95 P Í ± A ; ; ½ Ì º ² =µ µæ ¹ º@ ÅA Ò µ ³@ ¹ Ò ¹ µ% } ² µ ¹ È º s =µ ˆ ² Ò = ~ } ^µ ƒ ² ³ Ø Ò º ½ s =µ ˆ ² Ò ~ } Ò ƒ ³vY º BÒ ³ «s ¹ µ% } µl ÅÆ ² ^ ² Ò ¹ ^² ~ } Y ²5È µl ^²² "! # $ %'&(! )+*-," )". $ ) */"! #10 2*3 )4 $ ) 5 62*-) ³ ;º s =µ - º ÅA3 s =µ Èº µ > ¼ - µ Ò Ò ;¹ Èº ³ } µ YÐ ¹ ² µ º ; ¹ Ò ² Ä ;º Ò = ³ ³ µ È µ% } 8 9 : ; ˆ Œ U ± =< ƒ Ž 9 µ ¹ a ³ ³ ;º >? : ;BA C DEÁ Ò ;º } µ% ²q ¹ Òº s } F ¼ ² µ³ ½ µ ³ ² G = ² Ò ¹ Ðv - ³vY H µ JI c¼ µ ²LK ³c K ²_Èº ÅÆ3 a µ Èº µ-k K¼V²q ¹ s ; ³MK 9 K µ-k ¹ s ; ³MKk = µ3 ² K ¹ º ÅA-K K - Ð ¹ K K ˆŠ ; Œ < x N<=O µ³ º@ ² Ò µ ² ¹ K K K@µ% ³@ =µxñ; = º Ò ;º ³ µ =µµ º ÓÓ Ÿ Ì µ QP ²LK ³ K º ÅA3 s =µ k K µ ;Ò K K 7 7 K¼²q ¹ s ³MK 9 K µ-k ¹ a ³MK ^ =µô ^²LK Õ µ ; ¼ ²VµVÈ Ò ;º K ²² K ¹ K µ% K YÐ ¹ K Ä º = K ( Ş ³@²< º º ; K Ò ²T µ ² ³ ;º s =µ K ³ µ ¹ K ¹ K Kv Ò ² ³ Ò ;º ½ K ¹ ¹ K µ% ^µ ²q Ò K ³ µ% =K ³v =K VU ¹ ¹ K µ = ²5È! = µ º ] ²²º Ò ;º ³ º K ¹ ¹ K@µ%¼²5È ² s µ ÈMµ ³ º ¹ K Ò K WYX P Ò K ;¹ Kv È! ; K ²_ÈM ZK µ% µ ÈMµ-K ² µ ] ²LK Kv Ò ;º ³ K K Ò ² ¼ ² K ZK ¹ K K ³@ =µ% =K ³v µ K º ÅÆ3 a µ K ² ÅA3 µ% º K ¹ NK ¹ K µl¼ Èº µ-k Ka¼ K µ Ò Kv K 7 K µ% º =µ K]\ Ò ² ³ K K µ K ¹ Ò Õ µ ; ¼ ²"K µ º ³MK K K K ;Ò K@³vK µ-k ³ µ µ U Ù Ò K ² ] ² º9 ³ º ¹ K]\ Ò ² ³ K K ZK ³ µ ^U µ U Ù_ K º µ K Ò 8 jlk3mnj» jn"mnj Às p vu w]x U Ù e3fzghie a bdc ¹ µ(@qp ~ m p r m ˆ Œ U ± zy^o Ž p ~ Kv{p r =µl K Ò K ³v NK ¹ K µ% ² K FÒ d È K Ò ³MK ^µ ² K F K ³v µ +} Kv{~ Ó K@² µ ² K FÒ ¹ Ðv K K ; ¹ ² a µ Kv ² K ¹ K µ =µ ³ ³v º ÅÆ-K K ² ³ µ K¼² K Ò K K ¹ Ò K µ% K@µ% K Kv 11 ƒ +ˆ{ Š Œ ŽM Š K ³ ²³ ² =µl º ² ;º i NK@³ ²_È ² ; Z ¹ K º µ º ² K ;º ² µ + šœ ž Ÿ Ÿ] K Ö d ;º ª ²S«] «µ^«µ «K ;Ò º «º i NK ³ ² K µ K ; Ò ; Å K ¹ K µ ; µµ º K 8 ² K ³ 7 ; =µµ º K ¹ K µ =µµ º K = z K «6r ± ¼² ³ ¹ Ò ^µ «K d\ ^²LK K «K ; K ¹ K µ =µµ º K n n² ³ ¼ ² Ò K ; µ ¹ K µ ; µµ º K µ µ ² ³ ¼Z²q «K ¹ Òº «K ¹ K µ ; µµ º K F F ¹dº¼» i NK ³ p p F ½ F ¾À ÁÃÂÄ»Å F ¹Æº¼» KÇ«²LKMÈ µ F O ¹ KÉÈ Ê ¹ K µ-è µµ-k ²LÈYË9Ç"K «Ì Î ¼Ï Ð=! Ñ )(! ÒJ) $ Ó " ÔÕÔ ",") Ö{ -Ø Ù ÈÛÚ «-Ü K Ü K Ù È Ý Þwß KMÞ-àMK Ü- á Ê Ý Ù Ù Ê =Kzâ Ù KMÈ Ü Ý á KMÞ/ÈªÝL NÞ-È Ü- Ü á Ê ÝLÞ-K Èª =Þ^«àã - =Ý È Ý KMÈ «ZK ÙLÙ KMÈ Å K Ù K Ø Ê ÒÒ Ø «Ü KMÈ Ù =Þ- K -Ø È KMÈ¼«½ äzånå K { á Ê Ý ÙLÙ Ê NK à Ê Ø «ZÚMÈ Ý KMÞ KMÈæ«È¼«Ø à «-Ø Ú KÇ«Ø ÚM -Ù ÝLK Ø Ü Ê Þ/È à Ê Å K Ü Ý Ø KMà «ZÝ =Þ KMÈ Þ- Q á-ø KMÈ Ü K á Ê Ý ÙLÙ KMÈ Ü Ê Þ-È Ù KÉÈ Ü Ý Ø KMà «ZÝ =Þ-È } K «~ È NÞ «Ø KMÈ Ò KMà «ZÝç =K á KÉÞ^«Þ- z«úéè è ék «è ê Ê Ø Ê ÒÒ Ø «Ü K á Ê Ý ÙLÙ KëKMÞ^«Ø K Ù KMÈ Ü K \ Ü Ý Ø KMà «ZÝ =Þ-È } K «~ KMÈ¼«Ü Ú Þ-Ý Ò Ê Ø 8

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126 g Q J Q» z_z_{ r p,ƒr ~ M] ^ xsw_us} M^ ^ƒmµ x w_x {i usps ]_{ xs} xs~ Nw ]_~ ±y^ ]+NzM^v ~_r K]_x =0.237s =0.716s =20.625s = s = s = s bdcfe?m i = { ]+ƒr ~ À] ps ]_^ \ w_] vxs} z_\ w_x { pjķ]+ƒx w_x z_^ xs\ \ r ~ z% ]_^ {i usps ]_{ xs} xs~ wyx w_xs]e F]_r w_xs\ : xih?v ~_r xs~_\nw_x w_rc us^ xs~ vxs\n r \ ps \ rcvus\, xsp š SUT =0.237s =10.057s =50.065s =79.096s = s = s bdcfe?m i =» { ]+ƒr ~ M] ps ]_^ \ w_] ƒxs} z_\ w_] zy^ ML{w_x r ƒxs\ \ x E+raÀ{ x xs~ \ ^=vr x wyx { ps ~_w_]_rcƒx z% ]_^?{ˆ usps ]_{ x } xs~ w_x wyxs]e F]_r w_xs\ : xih?v ~_r xs~_\nw_x w_rc us^ xs~ vxs\n r \ ps \ rcvu \, xsp š SUT µ ^ƒm~_w_x K]_x { ps ~ v^ƒàr ~ ƒx \ xs]_r { w_] F]_r w_x xs~ v^ƒà~,g ~ XMr %psx z_ _us~_ } Šs~_x \s x E+zy{ r ]_x zm^ ]y~ xi xi } u p,à~_r K]_x K]_rdMz_zM^v ]À~_w { p ~ ƒ^ƒàr ~ vx \ xs]_r {w_] F]_r w_x w_uszy{ Mpsu ~_x w_uszm\ \ x zm\ { ps ~ v^ƒmr ~ ƒx w_x psr \ƒàr { { xs} xs~ {a zm^ r ~_x uiƒ]_w_x ^ u,m{ r \ u x zà^ { { ]yp _x xi M{ig» \ ]y^ { psr } xs~ vr ~ w_xs\ wm~_\ { xs\ z_]yr ƒ\ 0 w_x X7 ^ƒàµ x } xi xs~ ui r w_xs~_psx psx z_ yus~_ } Šs~_xMg ~ XMr % {i uijàz%x w_x psr } xs~ j vr ~ ps ~_\ r \=vx pj À\ \ xs^ xi ^ xs} z_{aàpsx ^ { ±% ]_x w_x X& ^vmµ x zœà^ wy] psr } xs~ L~ w À\ \ ]y^ xs^ { \= M±_r { r ƒu xi {ˆ uijà~_pj _usr ƒu w_] z_]_r ƒ\sg>dx z_^ psxs\ \ ]_\ w_x psr } xs~ vr ~ \ x ^v w À]+jÀ~ dz_{ ]_\²xI p,mpsx \ r { ~yx ^ xs\ ƒx z_{ ]_\²w_x ±% ]_x wm~_\d{ ps ~_w_]_rcvx xidxs~ zm^ ƒr ps]_{ r xs^ {

127 l g ( g z_z_{ r p, vr ~ {ˆ VM^ ^?xi M] ^ xsw_us} M^ ^vmµ x w¼ ]_~ ±_^ ]+NzÀ^ƒ ~_r K]_x Analyical Sluin Cmpued Sluin bdcfe?m i = # pqàpsrcvu w_x w_usz_{ Mpsxs} xs~ z4 ]_^?w_xs]e F]yr w_xs\nw_x "dr ~_µ M} r w_xs~ ƒr ]_xs\ YZ zm^ rig zœà^=vr ^Gw ]y~_x M~À{CB\ x } ƒ _us} ƒr ]_x \ r } z_{ xw ]_~ u ps ]_{ xs} z_{aà~ % { { ]_pj _x xd M{igKz_^ z% \ xs~?]_~ ps^ r ƒšs^ x z% ]_^dw_uiƒxs^ } r ~yxs^³{a z_^ us\ xs~_psx ] {i À±_\ xs~_psx w ]_~_x ps ]_pj _x \= vr K]_x {a zœà^ r wm~_\ { x p,m\ w_x w_xs]e F]_r w_xs\ w_x "dr ~_µ M} g4>dx ps^ r ƒšs^ x \s usps^ rc ž š -/. zà\nw_x ps ]_p _x \= vr K]_x {a zm^ r Q š -. z_^ us\ xs~_psx w ]_~_x ps ]_p _x \= vr K]_x {a zm^ r Q xs\ { ^ƒàpsr ~_x w_x {ˆ us ]ƒr ~ ž g M Q S g \ƒàpj À~ ]_x z% ]_^ S ~ z%xs]+ w_ ~_~yxs^]_~_xd\ r µ ~_r Lp, vr ~ z_ B\ r ]_x"! {ˆ us ]ƒr ~ # g$% xs~ z% \vm~ ž & Q ' Q 0 1 2)( Ÿ g* : ]_\^ xiƒ^ ]+ ~_\GL~M{ xs} xs~ {ˆ x E+z_^ xs\ \ r ~ w_xn{a rcvxs\ \ xn} #B xs~_~_x w_x {ˆ usp ]_{ xs} xs~ w ]_~ F]_r w_x w_x "dr ~_µ M} wà~_\n{a w_xs} r,+ \ xspiƒr ~ w ]_~ p,m~à{5z_{ M~- z_{ M~ w_x M]+vx ]_^ >dxi vx M~M{ B\ x } ƒ _us} ƒr ]_x xs\= } Àr ~ ƒxs~m~?àwmz+ƒusx! ]_~_x ps ~_w_]_r ƒx E+r \ B} uiƒ^ r K]_x xi ~ ±+vr xs~ M{ ^ \²{ˆ x EUz_^ xs\ \ r ~ \ ]_r ḾÀ~ vx z% ]_^d{a r ƒxs\ \ x } #B xs~y~_x w_x {ˆ usp ]_{ xs} xs~ dw ]_~ F]_r wyx w_x "dr ~yµ M} wà~_\ ]_~_x ps ~_w_]_rcvx w_x ^v,b ~ ž ' Q Ÿ /. gm»

128 Q Q g g» + z_z_{ r p,ƒr ~ M] ^ xsw_us} M^ ^ƒmµ x w_x {i usps ]_{ xs} xs~ Nw ]_~ ±y^ ]+NzM^v ~_r K]_x { x ~_ } ±_^ x wyx "³r ~_µ œà} ps ^ ^ xs\ z% ~_w! { ^vmpsr ~_x w_x {i us K]œƒr ~ ž. Q S # g$ # \vmp M~ K]_x z% ]_^ S r ~À{ xs} xs~ %6 ~ z%xs]+ w_ ~_~_xs^ ]_~_x X& ^ } x \ r } z_{ x wy] ps^ rcvšs^ x w_x z_^ us\ xs~_psx ] w¼ VM±_\ xs~_p x wyx ps ]_p _x \= vr K]_x! { zm^ r %Kxs~ X7 ~_piƒr ~ wy] ^vmz_z% ^=w_xs\ps ~ v^ƒàr ~ ƒxs\\ xs]_r { š -. xi?w_] ~_ } ±_^ x w_x "dr ~_µ M} w_] F]_r w_x x ~ ƒ^vm~ ž š -. š -. Q zà\nw_x ps ]_p _x \=jƒr K]yx! {a zà^ r Q z_^ u \ xs~_psx w¼ ]_~_x ps ]_p _x \ jƒr ]_x! {a zà^ r # g$ : ]_\ z_^ z% \ ~_\ ]_~_x r { { ]_\=v^ƒƒr ~ w_x psx z_ _us~_ } Š ~_x w_x ps ]_p _x \ jƒr ]_x! { zm^ rig6: ]_\ r } z% \ ~_\ ]_~ z_^ ML{w_x rcvx \ \ x xs~ xs~ v^ usx w_x {a ps ~_w_]yr ƒx ŽEUr \=B} uiv^ r ]_x ƒxs{ K]_x Q ~_\ ]_r ƒx %{i us K] vr ~ g #K xs\ ^ us\ { ]yx zm^ ]_~_x } uiƒ _w_x w_x : xih?v ~ xi ~ ±+vr xs~ S+T >À\ ~ ž š -. %_w_ ~_p { x ps^ r ƒšs^ x # g$ z_^ uswyr K] r {5~ B zm\ w_x ps ]_pj _x \ jƒr ]_x! {a g: ]_\ z_^ u \ xs~ v ~_\Gw_ ~yp³wyxs]e p,à\, xspw_xs]e ^ƒàzyz4 ^ ƒ\w_xdps ~ ƒ^vmr ~ vxd\ xs]_r {Uš -.w_r us^ xs~ ƒ\ž zm^ rig S+T >À\ ~ žš -/. %hw¼ VMz_^ Šs\ { x ps^ r ƒšs^ x SUTV # g$ %²~_ ]_\ w_xi ^ r ~_\ ±_\ xs^ xs^ ]_~yx p ]_pj _x \= vr K]_x! { zm^ rig : ]_\ zy^ us\ xs~ ƒ ~_\ w À±% ^ w { xs\ ^ us\ ]_{ jƒ\ z% ]_^ { x p,m\ ~ gª ui { ]+vr ~ w_x {i r ~ vxs^=xmpsx M] ps ]y^ \ w_] ƒxs} z_\ z_^ us\ xs~ vusx \ ]_^ { bdcfedg +) z%xs^ } xi w_x ps ~_ps{ ]_^ x K]¼ r { ~ x E+r \ ƒx zm\ w_x p ]_pj _x \ j vr K]_x! { zm^ rig ~ xi xi % { x F]_r w_x xs\= wyusz_{ Mpsu \ ]_^ ƒ ]+ƒx {a \ xspiƒr ~ w_x { ps ~_w_]_r ƒxmg >dxsz4x ~_wà~ z% ]_^ { x p,à\n~ %{i ui { ]Uvr ~ wyx {i r ~ ƒxs^=xmpsx À] p ]_^ \ w_] vxs} z_\ ^ xsz_^ us\ xs~ vu \ ]_^ {a bdcfedg +) } ~ v^ x ps{aàr ^ xs} xs~ ²{i Àz_zM^ ƒr ~ w ]_~yx ps ]_p _x w_x F]_r w_x F]_r wyx ±_{ xs]! { zm^ r K]_r5~ xs\ zà\nw_usz_{aàpsusx zœà^?{ x Fœ]_r w_x F]_r w_x ^ ]_µ x g ª r \ ]À{ r \ƒƒr ~ w_xs\s ~_xs\²psr \ƒàr { { usxs\ ~_ ~%+ psr \ƒàr { { usxs\\ ]_^{a b³c edg +) ~_ ]_\²z4x ^ } xi²w r w_xs~ vr + Lxs^G ]_x psxi vxnps ]_p _x! { zœà^ r_xs\=²\= vr K]_x?z_]_r \ K] xs{ { x?ps ^ ^ x \ z% ~_w! ]_~_xs ~_x ~y ~%+ psr \vmr { { usx ^ usµ r ~ ±_{aà~_pj _x g_>dxi vx s ~_x } ^ ƒx! {a zœà^ r%xs\= wyx M]+vxs]_^dps ~_\= M~ ƒx xi~ ui { ]_x zà\?m] ps ]_^ \Nw_] vx } z_\ g ªxs\z_^ AL{ \dw_x r ƒxs\ \ x ŽEUr M{ x \ ]_^z_{ ]_\ r xs]_^ \ \ xspiƒr ~_\ { x { ~_µ w_x { ps ~_w_]_r ƒx \ ~ v^ƒàpsus\?\ ]_^{ bdcfedg +) gœª5x z_^ ALœ{¼w_x rcvxs\ \ x E+raÀ{ x ps ^ ^ xs\ z% ~_wm~! { \ xspivr ~ } ~ v^ x ]_x { x Q S+T S F]_r w_x x \ M] ^ xsz% \ wà~y\ { ps ]_pj _x \= ƒr K]yx! { zœà^ r %¼z_]_r \ K]yx {a rcvx \ \ x x \ \=v^ r piƒxs} xs~ ~K]_{ { x wœà~_\npsxi vx s ~_xmg W xs} À^ K]_x ž ~ z%xs]+ ^ ususps^ r ^ x { x ps^ rcvš ^ x g \ ]_\N{ X& ^ } x \ ]_r ḾM~ ƒx ž š -. # Àz_^ Šs\ psx ps^ rcvš ^ x % r { \ xs} ±_{ x K]_x {i usps ]_{ xs} xs~ w_xi ^ƒàrc ƒ^ x À^ ^ vu z_]_r \ ]_x { x ~_ } ±_^ x wyx "dr ~_µ M} xs\?z_{ ]y\³µ ^ƒà~_w K]_x g_>³xsz%xs~_wm~ %+{ ps ~_w_r ƒr ~ w¼ xs~ v^ usx uijà~ w_x Bz%x rcvx \ \ x r } z% \ usx % r {B ƒ ] ]_^ \³]y~ usps ]_{ xs} xs~?m] \ xsr ~ w_x {a ps ~_wy]_r ƒxmg ~ xi xi %Uz% ]_^d]_~ w_us±yr dps ~_\ jà~ xs~ xs~ ƒ^ usx w_x { ps ~_w_]_rcvx % {a z_^ x \ \ r ~! {ˆ xs~ v^ usx w_x { p ~_w_]_rcvxn\ V ]y\ ƒx z% ]_^ps ~_\ xs^= xs^d{ˆ usps ]_{ xs} xs~ ²ps } } x { x } ~ ƒ^ x { bdcfehg +) k gg>dxsz%xs~_wm~ % xs~ r } z% \ƒà~ ]_~_x z_^ xs\ \ r ~ p ~_\= M~ ƒx M] ps ]_^ \ ƒxs} zy\ x ~ xs~ ƒ^ usx wyx {a ps ~_w_]_rcvx % r {\ xs} ±_{ x²r } z% \ \ r ±_{ xw ±+ƒxs~_r ^ ]_~ u ps ]_{ xs} x ~ 6\= vr ~y~àr ^ x², xsp ]y~_x³p ]_pj _x \= vr K]_x! { zœà^ rˆg¼> xs\= z% ]_^ ]_ rv ]_\ { xs\ ^ us\ ]_{ jƒ\ z_^ us\ x ~ vu \ psr,+ w_x \ \ ]_\ \ ~ ^ u,m{ r \ u \, x p ]_~yx ps ~_w_r ƒr ~ w xs~ ƒ^ usx w_x Bz%x rcvxs\ \ xmg

129 Q * + z_z_{ r p, vr ~! {ˆ VM^ ^?xi M] ^ xsw_us} M^ ^vmµ x w¼ ]_~ ±_^ ]+NzÀ^ƒ ~_r K]_x % %! (( "# # bdcfe m +) { ]+ƒr ~ M] ps ]y^ \ w_] ƒxs} z_\ w_x {a X& ~_pivr ~ ps ]_{ xs]_^ z% ]_^ {i usps ]_{ xs} xs~ w_x w_xs]e Fœ]_r w_xs\nw_x "dr ~_µ M} w_x wyr us^ xs~ ƒxs\ ps ~ ƒ^vmr ~ vxs\n\ x ]_r {, xsp š -. S+T r ~_\ r %{ xs\ usps ]_{ xs} xs~ ƒ\ F]_r w_x + F]_r w_x : xih?ƒ ~_r xs~_\ xi r \ ps z_{aà\=vr K]_xs\ z_^ us\ xs~ ƒus\ ~ z%xs^ } r \ w_x ḾM{ r w_xs^ { xs\ ^ us\ ]_{ jƒ\ ~ ]_} u ^ r K]_xs\ zy]_r \ K]_x {i ui { ]+vr ~ w_x {i xi p,mpsrcvu z_^ us\ x ~ vx ]_~ ±% ~ Àpsp ^ w xsp {a \ { ]+ƒr ~ M~À{CBKƒr x z_{ ]_\ % ~_ ]_\, ~_\ } r \?xs~ ui r w_xs~_psx {ˆ Àz_zM^ rcvr ~ w ]y~_x ps ]_pj _x \ j vr K]_x! { zœà^ r6{ ^ \ w_x {ˆ usps ]_{ x } xs~ w_x w_xs]e F]_r wyxs\ r \ ps z_{ M\=vr K]_xs\ w_x ps ~ ƒ^vmr ~ vxs\ \ xs]_r {6w_rC ¼us^ xs~ ƒxs\ g ª V,ḾM~ jàµ x Mz_z% ^=vu zà^d{a ƒxsp y~_r K]yx w_] ªÀµ ^vm~_µ r xs~ À]_µ } x ~ vu xs\= ]_~_x ~_ ]U xs{ { x X& r \² ±_\ xs^= umg ~ xd ¼xI %+{ s ~_x } ^=vx! { zm^ r%xs\?xmpsr { xs} x ~ ²r w_x ~ ƒr L«M±_{ x z_]_r \ K] xs{ { x ps ^ ^ xs\ z% ~_w! ]_~_x ^ usµ r ~ { x ƒxs~_\ xs]y^ w_xs\? M]E w_x w_uix& ^ } ƒr ~ xs\= \=v^ r pdvxs} xs~ N~K]_{ˆg

130 L g Q 6 6» + z_z_{ r p,ƒr ~ M] ^ xsw_us} M^ ^ƒmµ x w_x {i usps ]_{ xs} xs~ Nw ]_~ ±y^ ]+NzM^v ~_r K]_x k $ ' '% bdcfe?m +) { ]+vr ~ À] ps ]_^ \ w_] vxs} z_\ w_x { X7 ~_piƒr ~ ps ]_{ xs]y^ z% ]_^ {i usps ]_{ xs} xs~ w_x w_xs]e F]_r w_xs\ wyx "³r ~_µ œà} w_x w_rc ¼u ^ xs~ vxs\nps ~ v^ƒàr ~ ƒxs\n\ xs]_r {, xsp š -/.!"#$% &')( * +-,.&/ 0 ]_\ z_^ us\ xs~ ƒ ~_\ wà~_\npsxi vx \ xspiƒr ~ w_xs\ \ r } ]_{aƒr ~_\~K]_} us^ r K]_xs\Nps ~_psxs^ ~À~ { x \ usps ]_{ x } xs~ v\ 1 Mr ±_{ xs} xs~ ps } z_^ x \ \ r ±_{ xs\ w ]_~ 2]_r wyx r \ ps zy{ M\ ƒr ]_xmg30 ]_\ À~M{54\ ~_\ {ˆ r ~-2]_xs~_psx w_x {a ps } z_^ xs\ + \ r ±_r { r ƒu xi w_] ~_ } ±_^ x w_x "dr ~_µ M} \ ]_^ psxi usps ]y{ xs} xs~ qg¼ª5xs\ p,m{ ps]_{ \ z_^ us\ xs~ ƒus\ wm~_\ psxi vx \ xspivr ~ \ ~ ^ u,m{ r \ us\, xsp ]_~_x z_^ xs\ \ r ~ r } z4 \ usx xs~ x ~ v^ usx w_x { p ~_w_]_rcvxmg ª µ us } uiƒ^ r x w_x { ps ~_w_]_rcƒx xs\= pj _ r \ r x vx { { x K]_x SUTV Œ DFE5<?G H+<JIKD@ D@ IKG L/M :N; M O ;=< P U V. ^ W 7]\ \/_ 6 W9X *Y 6 7 Z acbedef9g'hjiek iel"m n3ag'l 2/g'pqn'i n'i rspql'9u/v8k defnk w'xyiez{zypj 'hqi w=fng'x U V i m 6 WNX~} s 6 7 Xƒ} Z. v iez m w'x{bezyiel"m b n/vˆl'z d i m{m i zyied mšpqfnl. i xšvˆw'w=fnx m iel"m x{i hji nœbe 'p5m k v8zyz{pq ]g'i Ž i m hqi n'be Œp5m W 7 \ \/_ k v8zyz{pq ]g'i Ž j y dvˆhjdeg'hqb w=f9g'x h ab m všm z m vœm pjf9l'l/v8pqx{i iez m mšx v8deb z{g'x h v ž Ÿ / { y N iel 1 fnl'd mšpqfnl nœg m iek w'z ª h apql'z«m v8l m?pql'p5m p vˆh hji 2/gŒpjn'iiez m+vˆg x{iew=f9ze œ g w'xyiek pqiexyzpjlœz«m v8l mšz hjf9xyz{ ]gœi h ab defng'hqiek i l"m?l3ā v w/vˆzx{ien'bek vˆx{xyb iel z{f9x«m pji n'i def9l'n'g'p±mši f9l f9 'zyiex«²9i g'l w'pjd n'g nœbe 'p5mk v8zyz{pq ]g'i iel iel mšxybei ³g'p=n'bew/vˆz{zyi h v ²ˆv8hqieg'x n'i h acb m všm z m všm pjf9l'l/v8pqx{î. acb m všm z m všmšpqfnl'ĺ v8pqx{i iez m vœmymši pjl"m hjf9x{zy ]g'i hjiez n'be 'p5m z k v8zyz{pq ]g'iez i l

131 N _ ; N P z N P { y N w'w'hqpjdvšmšpqfnl h ā vˆx{x mi m vˆg xyien'bek vˆxyxšvˆni n3ag'l 'xyg-m w/v8x v l'pq ]g'i! "# $&%'$ (&%) ž Ÿ +* { y -,. ²9fNhqg-mŠpqfNl v8g def9g'xyz n'g m iek w'z n'iez0/ef9l'iez depqzšvˆpjhqhjbeiez'1šl'fnl )depqzšvˆpjhqhjb iezn'i h acbedef9g'hjiek iel"m n'i nœieg 2/g'pqn'iez n'i rspql'9u/v8k n'i n'p32 bex{iel mšiez defnl mšx v8pql"m iez z{ieg'pqhv²9ied X98 i l"mšxybei i m z{f9x mšpqi z{f9l"m be"vˆg : g'x h v ž Ÿ ' y { h v w'xyiez{zypjf9l i z«m m xšvˆdebei iel 1 fnl'd m pjf9l n'i ;=<> n'p32 bex{iel mšz pql'z m vˆl"m ze gwœx{iek pjiexyzpql'z«m vˆl"mšz hqiezwœx{f?/hjz n'iw'x{iezyzypjf9l w'x{bezyiel"m iel"m g'l'i 1 fnxyk i i -w=f9l'iel"m pjiehqhji dv8x v8d mšbexypjz mšpq ]g'in.acg'l b defng'hqiek iel m def9k w'x{iezyz{pq 'hjiœ A@ Bez hji m iek w'z hjiez i2 i mšz n'i h v defnk w'xyiez{zypj 'pqhjp±mšb n'pjzyw/v8x vˆpjzyz{iel m 6 WNX~}W ĩ mh v d u]g-m i n'i w'x{i z{zypjf9l n'ĩ ²pjiel mhjpql'bv8pqxyî -C iew i l'n/v8l m hqi m iek wœz l'bedeiezyzšvˆpjxyi w=f9g'xvœmym iepjl'n'xyihjix{be9pjk i z m vœm pjf9l'l/v8pqx{i iel ²p±mŠiezyz{i iez«m w'hjg'zhjf9l' i m iez«m n'i z 6 D 7 X5W v ž Ÿ ' { y w'xybezyiel"m i h ab ²9f9hjg-m pjf9l iel m iek w'z n'iez w'xyfe?/hqz n'i ²p±mŠiezyzyi v -p v8hqi h v z{f9x«m pji n'i h v def9l'n'g'p5m i n'i h apql'z«m v8l m f-f hji 2/g'pjn'i l.aciez«m w/vˆz i l'defnxyi xyien'bek v8xyx{b G ²*p5m iez{zyi l]gœhjhjiihkjyg'z{ ³g.a9 h ab m vœm z m vœm pjf9l'l/v8pqx{iœ pjl'zyp vˆg m iek w'z?/ĺ v8h f9l x{ĩ mšxyfng-²9i g'l w'x{f?/h n'i ²*p5m iez{zyi deh v8zyz{pq ]g'i n'i h acbedef9g'hjiek iel"m b m vˆ 'hjp+n.acg'l L/g'pjn'i n'i r pjl'9u/v8k v²9ied zyiek 'hji m )pjh g'lœi xybenpqfnl =fngœd u'f9l vˆg d iel"m x{i n'i h v def9l'n'g'p5m i ³g'p d fnxyx{iezyw=fnl'n h v k fnp±mšpqb n'g x v&mnf9l G HQ s ON P#X~} C iew=iel'n/vˆl"m n.ā vˆw'x Bez h v ž Ÿ SQ' { y 9 hqiez w'xyfe?/hqz n'i ²p±mŠi z{zyi v -p v8hqi n.ai l"mšxybei i m n'i zyfnx mšpqi h ab m vœm z m vœm pjf9l'l/v8pqx{itg z'h l'izyfnl m w/vˆzzyg'w=iex{w=f9z{beztw'g'pjzy ]g'ih abed fng'hqiek iel miez m?d fnk w'x{iezyzypj 'hqi GWV XZY DUP-X±W n3ā vˆw'x#bez h acbe ]g/všm pjf9l n'i defnlœz{iex ²ˆvœm pjf9l n'i h v k vˆzyz{i G { 'Q =\]H#HQ pjl'zyp h v ²p±mŠiezyzyi v -p v8hqi ²ˆv8xypji hji hqfnl' n'i h v def9l'n'g'p±mši p^qiq_ba v -p v8hqi ²8vˆx{pqihji hjf9l' n'i h v def9l'n'g'p±mši Q : i hjf9l hqiez def9l'dehjg'zypjf9l'z m pjxybeiez n/vˆl'z h v cedgfh7ikjml n n#nqp hqitl/g'pqn'i iez«mdepqzšvˆpjhqhjb i mpqh/l'i w'g'pjzy ]g'i h v ²p5m iezyz{i w=ieg-mw/vˆzi -pqz mšiexn'ir/efnl'i =fng'd u'fnlq

132 a N? w'w'hjpqdvœm pjf9l vˆg xyien'bek vˆx{x vˆni n'i h acbedefng'hqiek iel"m n.ag'l Œx{g-m w/vˆxšvm l'pq ]g'i Inle Secin 0.30 Oule a ž Ÿ * y y x{f?/hjzn'i ²*p5m iez{zyi v -p vˆhji z{g'x w'hjgœz{pqieg'x{zz{i d mšpqfnl'z hji hjf9l' n'i h v defnlœn'g'p5m i w=fng'xh abedef9g'hjï k iel"m n'i n'ieg Ĺ g'pjn'iez n'i r pjl'9u/vˆk n'i n'p2 bexyiel"m iez def9l"m xšvˆpjl mšiez z{i g'pjhv²nied N P-X ?iek w'z Gz'H ž Ÿ * y {. ²9fNhqg-mŠpqfNl iel m iek w'z n'i h v w'xyiezyz{pqfnl h aiel mšxybei n'i h v def9l'n'g'p±mši w=fng'x h acbedefngœhjiek iel"m n'i n'ieg L/g'pjn'iez n'i r pjlœnu/vˆk nœi n'p2 bexyiel"m iez def9l"m x v8pql"mši z zyieg'pjh v²nied N P-X 8 v žsÿ y { wœx{bezyiel"m i h acb ²Nf9hjg-m pjf9l vˆg defng'xyz n'g m iek w'z n'iez /efnl'iez depjz v8pqhjhqbeiez'1œl'f9l )depjz vˆpjhjhqbeiez i z+/ef9l'iez%l'f9l )depjz v8pqhjhqbeiezz{f9l"m%xyiew'xybez{iel mšbeiez w/vˆxshqiezx{be9pjf9l'z 'h v8l'd u'iez' v?/9g'xyi def9x{xyiez{w=f9l'n/vˆl"m v8g /ef9l'iez depqzšvˆpjhqhjbeiez'1œl'f9l )depqzšvˆpjhqhjbeiez h ab m vœm z«m vœm pjf9l'l/vˆpjxyi G zghjdefnl?/xyk i h v xyiek vˆx{ ³g'i%w'x{bedeb n'iel"m i DUP-X±W hji0l/g'pjnœi iez m depqzšvˆpjhqhjb n/vˆl'zsm fng#mši h v defnlœn'g'p5m i i mpjh l.aci -pqz«m i w/vˆz%n'i /ef9l'i n'i =f9g'd u'f9l f9g'z w=f9g-²nf9l'z be v8hqiek iel m f9 'z{i x«²9iex h v w'xyfnw/vˆ vœm pjf9l n'g xyfnl m n'i def9k wœx{iezyz{pqfnl vˆg defngœx{z n'g mšiek w'z ]g'p x{iewœx{bezyiel"m i h v xyf9l"m p Bexyi iel"m x{i hqi L/g'pqn'i depqzšvˆpjhqhjb ĩ m hqi L/g'pjnŒi iel'def9x{i vˆg x{i w f9z

133 N Ž N N N H ] { y N w'w'hqpjdvšmšpqfnl h ā vˆx{x mi m vˆg xyien'bek vˆxyxšvˆni n3ag'l 'xyg-m w/v8x v l'pq ]g'i Inle Oule Ž q K { Jiek wœz GzgH ž Ÿ +*s { y N. ²Nf9hjg-m pjf9l iel m iek w'z n'iez n'b 'p5m z k v8zyz{pq ]g'iez n.aiel mšxybei i m n'i zyfnx m pji n'i h acbedef9g'hjiek iel"m d fnk w'x{iezyz{pq 'hji n.ag'l L/g'pjn'i rspql'nu/vˆk w=fng'x U V i m N W9Xƒ}* ON P#Xƒ} Z v N W P \ \/_ =0.07s =0.18s =1.51s =5.11s =8.27s =40.1s ž Ÿ +*8 { y. ²9f9hjg-m pjf9l iel m iek w'z n'i%h v d u]g#mšin'i%w'x{iezyz{pqfnl n'i%h acbedef9g'hjiek iel"m defnk w'xyiez{zypj 'hqi n.ag'l L/g'pqn'i r pql'nu/vˆk w f9g'x U V i m N W9Xƒ}* ON P#Xƒ} Z v N W P \ \/_ vˆl'z d i m{m i z{ied m pjf9l l'fng'z defnk w/vˆx{f9l'z hqiez bedef9g'hqiek iel mšz defnk w'xyiez{zypj 'hqiez n.acg'l L/g'pqn'i n'i r pjl'9u/v8k G$' ( ĩ m H+w=f9g'x+mŠxyfNpqz def9k w'xyiez{zypj Œpjhjp±mŠb z+n'p2 bexyiel"m iez )*ƒ} s N P+*~} Z v ) P \, \/_ Z v ) P \- \/_ ĩ m Z v? ab ²9f9hjg-m pjf9l iel m iek w'z n'iez nœbe 'p5m z k vˆz{zypj ³g'iez n.aciel"m x{bei i m n'i zyfnx m pji iez«m w'xyb N ) P \ \/_ zyiel"m bei zyg'x h v žsÿ y { U\? i wœpjd n'g n'be Œp5m k v8zyz{pq ]g'i n.aiel mšxybei iez m n.a v8g-m v8l m w'hjg'z k v8xy ]gœb ]gœi h v d fnk w'x{iezyz{pq 'pjhqp5m b iez m Nx vˆl'n'ï E@ i w'hqg'z w=fng'xjg'l'ikv8pq 'hjid fnk w'x{iezyz{pq 'pqhjp5m b0g Z v hqiez?n'be Œp5m z \/_ ) P \,

134 a a N? w'w'hjpqdvœm pjf9l vˆg xyien'bek vˆx{x vˆni n'i h acbedefng'hqiek iel"m n.ag'l Œx{g-m w/vˆxšvm l'pq ]g'i =00.0s =08.2s =09.5s =12.2s =15.8s =40.1s a < ž Ÿ *- { y. ²9fNhqg-mŠpqfNl iel m iek wœzsn'i z w'xyfe? hjz n'i ²*p5m iez{zyi v -p vˆhji n'i zyfnx mšpqi nœi h acbedef9g'hjiek iel"m%def9k w'xyiez zypj 'hqi n.agœl L/g'pjn'i rspql'nú v8k w=fng'x ' ( i m N )*ƒ}* ON P+*~} Z v N ) P \ \/_ 1 Inle Oule 0.8 a < v ' ( ĩ m v ž Ÿ * { y N x{f?/hqz n'i ²p±mŠiezyz{i -p v8hqi n.aciel"m xybei i m n'i z{f9x mšpqi n'i h abedef9g'hqiek iel m def9k w'x{iezyz{pq 'hji n.agœl L/g'pqn'i r pjl'9u/v8k w=f9g'x Z \/_ N )*~}/ N P *~} N ) P \ k v8zyz{pq ]g'iezl'i w'xybez{iel mšiel m%w/v8zn.acfnzydepqhjh všm pjf9l'z i m všm{m iepj9l'iel"mhqieg'xyz ²ˆv8hqieg'x{z z m vœm pjf9l'l/v8pqx{i z n'i v f9l k fš ā vˆg-m x{i w/vˆx«m wœhjg'z h v defnk w'xyiez{zypj 'pqhjp±mšb iez«m Nx v8l'nœi w'hqg'z h ab defng'hqiek i l"m iel z{f9x«m pji xyien'bek v8xyxyi m v8xyn g/vœm x{i f9pjz w'hqg'z n'i m iek wœz iez m l'bedeiezyzšvˆpjxyi w=f9g'x xyien'bek v8xyxyiex h acbedefng'hqiek iel"m n'i d fnk w'x{iezyz{pq 'p hjp±mšb Z v ³g'i h acbedef9g'hjiek iel"m n'i defnk w'x{i z{zypj 'pqhjp±mšb N ) P \ \/_ Z v + pjlœz{p hqi xybenpqk i ) P \- \/_ z m všmšpqfnl'l/vˆpjxyi iez m všmymšiepql"m w'hjg'z xšvˆw'pqn'iek iel m zyph acbedefng'hqiek iel"miez«m Kvˆpj 'hqiek i l"mdefnk w'x{i z{zypj i w'hjg'z l'fngœz defnk w/vˆx{f9l'z hjiez w'x{f?/hjz n'i w'xyiez{zypjf9l w f9g'x g'l'i def9k w'xyiez{zypj Œpjhjp±mŠb n'i Z N ) P \ v \/_

135 N z N N P z N z N z N z { y N w'w'hqpjdvšmšpqfnl h ā vˆx{x mi m vˆg xyien'bek vˆxyxšvˆni n3ag'l 'xyg-m w/v8x v l'pq ]g'i S " $S m ž Ÿ +*Œ y {. ²Nf9hjg-m pjf9l vˆg def9g'x{z%n'g mšiek w'z n'iez/efnl'i z depqzšvˆpjhqhjbeiez'1šl'fnl )depqzšvˆpjhqhjbei zrg xyiez{w=ied m p5²9iek iel"m hjiez xybe9pjf9l'z l'fnpqx{iez'1œ Œh vˆl'd u'iez'hn'i h acbedef9g'hjiek iel"m def9k w'x{iezyz{pq 'hji n.agœl L/g'pqn'i n'i r pql'nu/vˆk w=fng'x Z N ) P \ v ' ( i m GKv=H G H Gd H G nh ĩ m \/_ )*~} N P+*ƒ} P * P ]8 )* P N * P]8 Gi H N D=P+* ) G f žsÿ n n#n H i m n'i Z v G f ž Ÿ n n nh f9x{zy ]g'i h v def9k w'xyiezyz{pq 'pjhqp5m b iez m w'hjg'z ) P \, \/_ v8pq 'hji hqi w'pqd n'i w'xyiezyz{pqfnl f9 'zyiex«²9b v8g* w'xyiek pqiexyz pql'z«m vˆl"mšz zyg'x h v ž Ÿ ' { y l.aci -pjz m i w'hjg'z i m h v fnxyk i i #w f9l'iel mšpqiehjhqi iez m k fnpql'z k vˆxy ]g'beï C iew=iel'n/vˆl"m fnl fn Œz{iex ²Ni ]g'i h v w'x{iezyzypjf9l f9z{depqhjhqi v8g-m fng'x nœg w'xyfe?/h nœi w'xyiez{zypjf9l hjpjlœbv8pqx{i?/l/vˆh. l i2 i m hqi w'x{f?/h n'i w'x{iezyz{pqfnl n'i h acpjl'z m vˆl"m z v g'l'i fnxyk i defnl'dv²9i i m n'bew/v8zyzyi hji w'xyfe?/h.hqpjl'bvˆpjxyi v²ˆv8l m n.a všm{m iepjl'n'xyi hji x{be9pjk i z m všmšpqfnlœl/v8pqx{ï v8w'w=iehqfnl'z ]g'i hqfnxyz nœg x{ien'b k vˆx{x v89i n'i h abedef9g'hji k iel m n.acg'l 'xyg-m w/vˆxšvm l'pj ³g'i hqiez def9k w/v89l'pjiez w=b m x{f9hjp Bexyiez n'bezypjxyiel"mjdef9l'l/vqmšxyih v%w'xyiez{zypjf9l pqk w=f9z{iexiel iel mšxybei k v8pqz be vˆhjiek iel"m hji+m iek wœzl'bedeiezyz v8pqx{i w=f9g'x xyi m x{f9g-²ni x hjiez k k iez defnl'nœp5m pjf9l'z n.acbedef9g'hjiek iel"m w'x{bed ben/v8l m h a vˆx{x m l'i fnx mši def9k w'xyiezyz{pq 'pjhqp5m b w=iexyk ĩ m n.af9 -mši l'pjx g'l'i pjk w f9x m vˆl"m i d u]g-m i n'i wœx{iezyz{pqfnl h aciel"m x{bei n'i h v defnl'nœg'p5m i k vˆpjz i l def9l"mšxyi P+* P

136 N N N? w'w'hjpqdvœm pjf9l vˆg xyien'bek vˆx{x vˆni n'i h acbedefng'hqiek iel"m n.ag'l Œx{g-m w/vˆxšvm l'pq ]g'i \ ?iek w'z GzgH 3! #"%$'&T k")(+*#,.-/,10+$21, ?iek w'z G z'h 34 #"%$5& k")(+*#, 6,)72$"8, ž Ÿ * y { U\. ²9f9hjg-m pjf9l v8g d fng'xyz n'g m iek wœz n'iez n'be 'p5m z k vˆz{zypj ]gœiez n.aciel"m x{bei i m n'i z{f9x mšpqi n'i h acbedef9g hji k iel m defnk w'xyiez{zypj 'hqi n.acg'l L/g'pjn'i n'i rspql'nú v8k w=f9g'x mšxyfnpqz def9k w'xyiez{zypq 'pjhqp5m bez n'p2 bexyiel"m iez G:9 v 9 ) P \, \/_ v i m 9 ) P \- \/_ v H v²9ied ' ( i m G be Œp5m N ) P \ \/_ )*ƒ} N P+*~} k v8zyz{pq ]g'i n.aciel"m x{b i G H+@ be 'p5m k v8zyz{pq ]g'i n'i zyf9x«m pji w/vˆx«m pji hqi m iek w'zn'i xyien'bek v8xyxšvˆni n'i h acbedefngœhjiek iel"miel zyfnx mšpqi iez m w'hqg'z hqfnlœ iek v8xy ]g'i iez w'pqdez fn Œz{iex ²Nb z zyg'x hqiez w'x{f?/hqz n'i w'xyiezyz{pqfnl i m z{gœx hjiez n'be Œp5m z n.aiel mšxybei f9l"m g'lœi zypj9l'p?/dvšmšpqfnl w'u=m*z{pq ]g'ï C iew=iel'n/vˆl"m l'f9g'z%fn 'zyiex ²Nf9l'z%be"vˆhjiek iel"m%n'iez%f9z{depqhjh vœm pjf9l'z def9k w/vˆxšvˆ 'hqiezs nœg ; 'x{g'p±m=< ³g.apqh v8g-m z v8l'z n'fng-m i všm{m x{pq 'g'iexr gœl v8x mši v8d m l]g'k bexypj ]gœï

137 n N H { y N w'w'hqpjdvšmšpqfnl h ā vˆx{x mi m vˆg xyien'bek vˆxyxšvˆni n3ag'l 'xyg-m w/v8x v l'pq ]g'i =0.005s =0.09s =.032s =0.91s =17.55s ž Ÿ +*8 { y. ²9f9hjg-m pjf9l iel m iek w'z n'i%h v d u]g#mšin'i%w'x{iezyz{pqfnl n'i%h acbedef9g'hjiek iel"m defnk w'xyiez{zypj 'hqi n.ag'l L/g'pqn'i nœi rspql'nú v8k w=fng'x ' ( i m 9 N )*ƒ}*' s ON P+*~} v ) P \, \/_ vˆl'z dei mym i zyied m pjf9l l'f9g'z vˆl/v8h3mzyfnl'z h acpjl L/g'i l'dei n'g l'fnk 'xyi n'i rspql'nu/vˆk zyg'x h acbedef9g'hjiek iel"m s d fnk w'x{iezyz{pq 'hji n.acg'l L/g'pjnŒi ²pqz{def9w'h vˆz mšpq ]g'ï f9g'zdefnk w/vˆx{f9l'z h acbedefng'hqiek iel"mdefnk w'xyiez{zypj 'hqi n.acg'l L/g'pqn'i nœi rspql'9u/v8k w=fngœx i m 9 N v v²ni d hjiezx{bezyg'h5m všmšzw'x{b z{iel mšbez w'x{bed ben'iek k iel"m w=fng'x P+* ) N ) P \ \/_ i m 9 N P *~} vˆl'z hjiez n'ieg* zyp5m g/vœm pjf9l'z h v w'xyiez{zypjf9l pqk w=f9z{bei iel i l"mšxybei i z«m h v N ) P \ \/_ k ek i'z{i g'hji h v d fnl"m x v8pql"m i z{ieg'pqh iez«m k fn'p? bei v? l n'i Kvˆpjxyi ²ˆv8xypji x hqi l'fnk 'xyi n'i r pjlœnu/vˆk h G N P * ) N P i Ž k k k i h v h v k i h v k. l N P * h v k C w i P * ) N :, h v i d i k ĩ k ab ²9fNhqg-m pjf9l vˆg defngœx{zn'g m iek w'z%n'iezn'be 'p±mšz%k v8zyz{pq ]g'iezn.aciel"m x{bei i mn'i z{f9x«m pji z{f9l"m defnk w/vˆx{bez%z{gœx ž Ÿ ' { y vˆl'zhjieznœieg dv8z i m hqi n'be Œp5mk v8zyz{pq ]g'i iez m v8n'pqk iel'zypjf9l'l'bw/v8x *~} hqi%k ek nœbe 'p5mn'ixyb bexyiel'dei j y "hji%n'be 'p±mk vˆz{zypj ³g'i f9 -m iel]g h acb m všm z m všmšpqfnlœl/v8pqx{i%w=fng'x s ON P+*ƒ} i z«m d u'fnpqz{ptdefnk n'be Œp5m n'i xyb bexyiel'deï v8l'z hqiez w'xyiek pjiexyz pjlœz«m v8l mšz hjiez n'be 'p5m z v8zyzypj ]g'i z n.ai l"mšxybei wœx{bezyiel"m iel"m g'l w'pjd n'i h v ek vˆk w'hjp±mšg'n'i w'g'pqz{ ³g'i def9k w'xyiezyz{pq 'pjhqp5m b iez m ek n/vˆl'z hqiezn'iegzyp5m g/všmšpqfnl'z C iew=iel'n/v8l m ²ˆv8hqieg'x n'g n'be 'p5m v8zyz{pq ]g'i hjf9xyz{ ]gœi h ab m vœm z m vœm pjf9l'l/v8pqx{i iez m vœmymši pjl"m iez m nœp2 bex{i l"mši zyiehjf9l hqi lœfnk 'xyi n'i r pjl'9u/v8k Kv8p±m hjf9x{zy ]g'i h v def9l"m xšvˆpjl mši z{iegœpjh i m n'f9l'd )9 ²pqz{d fnzyp5m b vˆw'w/vˆx{iel mši z{f9l"m w'hqg'z Kvˆpj Œhjiez pql'z{p hji n'be 'p±m v8zyz{pq ]g'i h acb m vœm z m všm pjf9l'l/v8pqx{i iez m w'hjg'z pqk w=f9x«m v8l m aciez«mw=fng'xy ]g'f9p hji n'be 'p5mk v8zyz{pq ]g'i f9g'x%hji x{be9pjk b m vˆ 'hjp v²nied iez mw'hjg'z%9xšvˆl'n s ON ³g'i hji n'be 'p5m k v8zyz{pq ]g'i w=f9g'x P+*ƒ} g'x h v ž Ÿ ' { y l'f9g'z xyiek vˆxy ]g'f9l'z be v8hqiek i l"m ³g'i hji L/g'pqn'i zyfnx m pji n'i h v def9l'n'g'p5m i xyien'bek v8xyx{i w'hqg'z m8m hjf9x{zy ]g'i hqi l'f9k 'xyi n'i r pjl'9u/vˆk iez m Kvˆpj 'hqï +@ v8l'z hqi m vˆ 'hji v8g n'g h hqiez x{bezyg'h5m vœm z n'iez -w=bexypjielœdeiez xybvˆhjpqz{beiez w/vˆx iex{zyd u³g'g'x i m v8h 9\ f9l"m f9l"m xyb ]g.acg'l xyi xyfnpqn'pjzyzyiek iel mn Ml/vˆk pq ]g'i w=iex{k i m n.acfn -m iel'pjxnœiez defnl mšx v8pql"m iezz{ieg'pqh w'hjg'z v8pq 'hjiez msnœfnl'd g'l m iek wœz nœi xyien'bek v8xyxšvˆni w'hqg'z+def9g'x«m 8 )h-iez m pjl mšbexyiezyzšvˆl"mn'i%l'fˆmšiex ]g'i%l'fngœz x{i m x{f9g-²9fnl'z hqiez ek iez?mši l'n/v8l'd iez gœl bedef9g'hjiek iel"m%def9k w'xyiezyz{pq 'hji ²pqz{def9w'h vˆz«m pj ³g'i xyien'bek v8xyx{i n.ā vˆg-m v8l m wœhjg'z²p±mši ]g'i z v defnl mšx vˆpjl"m i zyieg'pqh i z«m Kv8pq 'hji

138 Ž Ž N N? w'w'hjpqdvœm pjf9l vˆg xyien'bek vˆx{x vˆni n'i h acbedefng'hqiek iel"m n.ag'l Œx{g-m w/vˆxšvm l'pq ]g'i ], Ž q K { ?iek w'z GzgH 3! #"%$'&T k")(+*#,.-/,10+$21, Ž q K { ?iek w'z G z'h 34 #"%$5& k")(+*#, 6,)72$"8, ž Ÿ * y {,. ²9f9hjg-m pjf9l v8g d fng'xyz n'g m iek wœz n'iez n'be 'p5m z k vˆz{zypj ]gœiez n.aciel"m x{bei i m n'i z{f9x mšpqi n'i h acbedef9g hji k iel m defnk w'xyiez{zypj 'hqi G9 v H n.ag'l L/g'pjnŒi n'i r pjl'9u/v8k w=f9g'x i m ) P _ N P * ) N P *~} GKv=H@ be 'p±m k v8zyz{pq ]g'i n.aiel mšxybei G H@ be 'p±m k v8zyz{pq ]g'i n'i z{f9x«m pji "!" # # ) 9 N ) P f9g'z w'xybezyiel"m fnl'z hjiezxybez{g'h±m všmšz def9l'deiex{ĺ v8l"m hqi x{ien'b k vˆx{x v89i n'i h abed fng'hqiek iel mdefnk w'x{i z{zypj 'hqi n.agœl L/g'pqn'i n'i r pjl'9u/v8k v²nied i m 9 v fng'zz v²nf9l'z ]g'i n/v8lœzhjidv8zpql'defnk w'xyiez{zypj 'hqi s ) ) P h acbedef9g'hjiek iel"m l'i w=f9g'x{x v8p±mx{ien'bek vˆx{xyiex wœg'pjzy ]g'i hqi l'fnk 'xyi n'i r pql'nu/vˆk i z«m z{g'w=bexypjieg'x0 s v ž Ÿ y { w'xybez{iel mši h acb ²9fNhqg-mŠpqfNl iel mši k w'z n'iez n'be 'p5m z k v8zyz{pq ]g'iez n3aiel mšxybei i m n'i zyfnx mšpqï

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142 Z ¹ ¹ ª Z»» Ö».Ê BB<CAL3=kDEAC46F =T2 79;5:5S :; <\V5354P2<L;5S ;5F%D : l2f G-7@2D BI=T7H= FALKM2; ¼ Ö&¼! "# $ %'&(&)*&)%'&+ µ Ä >MÉ Ò,Q64P<L2DHAL4PF =J2 3?4P2798(:2 DH;5S B8(:; <W= :58mDE7@23eDH27E=kDEAC46F :2 S =adh579a>=t2 Bg4627 <\V5354P2<L;5S ;5F%D ¹@¹9¹» : V2F I2AL:; :; _ 46289k= Bg4P27 šœ H Lž Ÿ 465 < 3546F:2AiDE;TÎ-, F; 792BDE27@; 467@AL\PALFI=J<L; :2 B7@4TÕI< :; QArDH;?8@89; ;?8mD Q/AC89ACG<L; c <>=.7@46F%DEAC 579; ;5F%DE7@; <>= ½54PF-; 35AL8H=TAC<L<C5; ;]D <>= ½54PF; Gg4623^f46F Î/ ; DE;5<C8 B7@4TÕI<C8 8@46F%D DE79 58 :ArÐ579;5F%DE8 :; 35;52/ 4PGDE;5FM28 =ZQ6;53 2F I2AC:-; QAL8@3546B<W=J8±DHALKM2;TN B2AL8@Ks2; <W= DE7E=JF89AiDEAC46F ;5FUDH79; <W= 7@5\6AC46F 35AL8H=TAC<L<C5; ;]D F4PF 35AC8E=JAL<C<L5; ;58±D 354PFUDHALFM2; Æ µ Î É BI=T7; ;5S B<C;qÌÏÎ ¹@¹9¹» ÒF. =JArDN65 4P28989;5<I;]D.=J<ËÎ87 >¼ 9I4PG-8@;57±QP;5FUD ; Bg579ACS ;5F%Dj=J<L;5S ;?F%D35;]D9DH;:.467@S ;(BI=J7±DHAL352<CAL 579;h:2 B794JÕI<:-; QArDH;58989; Bg4P27.< l535462<l;5s ;5FUD : l2f I2AC:-;ODEfA 4TDE7@46Bg; 8927 <W= µ Î ><;sî ;58(:46FF5;58(; Bg579ACS ;5F%Dj=J<L;58 ¹@¹9¹» 894PF%D :edh;579s ALF5;58BI=T7 5 = Æ S =T\P;?7@AL;²BI=T75O58946FFI=JF35; = =J\6F]DEACKs2;qÌ,:I=JF-8 2-F 79f54PS ]DE7@; c \P546S DE7@AL;O:; 462;]D9DH; Æ 3]Ã/<CALF:7@;58.354U=Í &A>=T2 IÌ,;]D <L;² I2-AC:; 2DHAL<CAL8@;58±Dh:; <\V;=T2 3546F%DE;5FI=JFUD(2F; 89289Bb;5F-8@AL4PF :;

143 Z n D Ÿ F ¼qÖUÉ ¹@¹9¹P».Ê BB<LAC3=aDHAL4PF c < =T7@7 ]D;]D =T2 79;5:5S =T797H=T\P; : l2f G792D BI=J7E=# FALKM2; =0.011s =8.136s =25.089s =38.007s =59.183s = s KB µ hä >UÖ Ò,QP46<C2DEAC46F =J2 354P2798 :2 DE;5S B-8 :2 BI=T7H=TS ]DE7@; :; 8±DH7923]DE27@; ¹9¹@¹» :-; <\V5354P2<L;5S ;5F%D ACF3546S B-7@;5898@ALG<C; : l2f I2AC:; :-; _ 4628@à= Bb4627 šœ H Cž Ÿ ª :I=TF8 <>= 89;53]DHAL4PF :; 894P7±DHAL; 1 Inle Oule KB µ hä 7@4TÕI<L8O:; Q/AiDE;58@89; =Í &A>=T<C; : V;5F%DE7@?; ;ed :; 894P7±DHAL; c < led^=ad 8±D^=aDHAL4PFF =JAL7@;TN:; <\V535462<C;5S ;5F%D ¹@¹9¹» ALF3546S B79;58@89ACG-<C; : V2F I2AL:; :; _ 4P289à= Bg4627² šœ E Cž Ÿ Gg;5FUDH46FAiDE;TÎ l53jfi=jfudhal<c<l4pf ;58±D B79535AC8E=JAL<C<L Bg;5F:I=TF%D ¼ Á S ACF B2AL8 ;58±D <>=TAC898@ =T2 7@;5Bg4685Î ;58 Ö Gb;?8 B-7@589;5F%DE5; <>= µ Î ; 35467@79;58@Bg46F:;5FUD c Ö DH;5S B8 :; 7@;?Bb468 :AiÐ!579;5F%DE8 Æ Á Nh¼ Á ;]D Á S ALFˆÌ Î ¹@¹9¹» ;58 B794JÕI<L8 :; Q/AiDE;58@89; c < l]dj=kd 8±D^=aDEAC46FFI=JAL7@; :]DE;57@S ACF-58 ; Bg57@ALS ;5F%Dj=J<L;5S ;5FUD 8@46F%D 3546S BI=T7958 =ZQ6;53 <L;58 B794JÕI<L8 :; QArDH;58989; :]DE;579S ALF58 BI=T7 <C; S 4: 5<L; DEfA 4TDH794PBg; ÆdDE7E=JArD 3546F%DHALFM2ˆÌ B7@46Bg4P89 BI=T7 5 4P28989;5< ;ed =T< Î 7 ¼ 9ƒ;]D B79589;5F%DE :I=TF8 <C; Î ALFI=J<L;5S ;5FUDN<C;?8 B794JÕI<L8O:; Q/AiDE;58@89; =Í &A>=T<C; 46GDE;5FM28 =ZQ6;53 <L; S 4: 5<L; :; _ 4P2-8@à= 8@46F%D8@;?S G<W=JG-<C;58c 35;52 DE794P2Q658; Bg579ACS ;5F%Dj=J<L;5S ;5FUD²;eD²Fs2S 579ACKs2;5S ;5F%DBI=J7 4628@894JD ;]D =J< 7 ¼ 9ËÎ ª

144 X X ¹ ; n n = n Æ Î Î Ê = Î Î n ¹ ª ª Ö».Ê BB<CAL3=kDEAC46F =T2 79;5:5S =T7@7E=T\P; :; <\V5354P2<L;5S ;5F%D : l2f G-7@2D BI=T7H= FALKM2; ¼ Ö6Ö µ Ä 794TÕI<C8:;QAiDE;5898@; = AW=J<L;cO< l]dj=kd8±d^=adhal4pffi=tac79;,3=t<c352<l58=q6;53.<c;ós 4:?<C; Æ ÎÇÖ À Ì ;]DS ;58@27958 ¹9¹@¹» BI=T7 5 = Bg4627O2F; Q/AiDE;58@89; ACS Bg4P895; Æ ÀPÁ 7@BS Ì=JB79 58 =Q64PAL7OB79535AL8H=TAC<L<C < l53jfi=jfudhal<c<l4pf Æ¼ Á S ACF c ¼ÍÉ Á 79BS Ì ;]D <>=TAC898@ =T2 79;5Bg4P8 Bb4627(DH794PAL8(DH;5S B8²:-AiÐ!579;5F%DE85Nˆ: =TB7@?8 5 4P2898@;5<;]D =J<ËÎ 7 ¼ 9,x z v6z ~z yš vpwg{ ƒ z y } zu} ~z ydš } Žƒ wi}q ŵ z x yz Íz/~ /{ Š Š ˆz ; B79ACF35ALBI=J<ƒB7@46G<L 5S ; <LAC =J2 79;5:5S =J797H=T\6; :;?8 5354P2-<C;5S ;5F%DE8 :; G7@2&DH8 BI=T7E=# FACKs2; F35;579F; <\V;58±DHALS =adhal4pf :-; <W= B79;5898@AL4PF S ALFALS =T<C; c =JBB<LACKs2;57 c <\V;5F%DE7@5; :; <>= 3546F:2AiDE;TÎ / =JF8 <W= 89;53]DHAL46F '0 <4UNMF4P2-8²=Q64PF8 S AL8 ;5F ]Q/AC:;5F35; KM2; <W= 354PS B79;58@89ACGAL<CArDH Bb;?7@S ;]D: l46gdh;?fac7(:; \67H=TF:;58 QArDH;58989;58 ;]D :;.467±DH;58 3^fM2DE;58 :; B79;58@89AC46F c < l;5fudh795; :; <>= 354PF:2ArDH; :I=TF8 <L;58 B79;5S AC;5798 ACF-8mDj=JFUDH8 :-2 79;5:5S =T797H=T\P;TÎ / =T2DE7@; BI=T7mD N: Ç=JB79 58 <L; S 4:?<C; :; _ 4628@à=&NY<L; S 53=TFAC89S ; :; :58±DE7@23]DE27E=kDEAC46F :-2 \6;5<ˆ;58mD(3546F%DE7@È6<C BI=J7.<L;²Dj=J2/ :; 35AC8E=JAL<C<L;5S ;?F%D ALF8@AËN%F4628 Bb;5F-8@46F8 KM2 V2F I2AL:;OQ/AC89354PB<W=J8±DEACKM2; ;]D DEfA 4TDE7@46Bg;TN KM2-AF; Bg;52D ]DE7@; 79;5:5S =J797@.:I=TF8 2F;.89AiDE2I=aDHAL4PF ALF354PS B79;58@89ACG<L;TN Bg4627@7E=eDH79; 79;5:5S =J7979 \67HÑT35; =J2/ ;]Ð!;]DH8 3546S GACF58 :; <>= 3546S B-7@;5898@ALGAC<LAiDE ;]D :; <>= DEfA &4JDE7@46BAC;kÎ 4628 B-7@46Bb46894PF8 :46F3 DH7946AC8 3=J<L352<L8 :46F%D <W= \6546S ]DE7@AL; ;58±D :-]ÕIFAC; DH;5<L<C; KM2; ª B79;58@89AC46F ;58±D ALS Bg4P895; c <V;5F%DE7@5; :; <>= 354PF-:2AiDE; :; DE;5<C<L; 8@467mDE; KM2; <L; F46S G7@; :; ALF\PfI=TS 8946AiD 892Bb?7@AL;527 c ¼6Î 4627 <C;58(DH794PAL83=J8?N c <VACF-8mDj=JFUDOALFAiDEA>=T< N%<L; I2AL:; ;58mD =T2 7@;5Bg4685Î =T8 F ¼ b I2-AC:; DEfA 4TDE7@46Bg; :-; ALF\PfI=TS ALF3546S B79;58@89ACG-<C;TÎ ;58 BI=T7H=TS ]DH79;58 79f546<C46\PALKM2;58 :-2 S 4/: 5<C; :; _ 4628@à= 894PFUD 3^f46AC89AC8 DE;5<KM2; šœ H Lž Ÿ ; S =kde57@aw=j2 c <l]dj=ad ACFArDHAW=J< ;?8mD ª "! 8mDE7923]DH279 ÌÏÎ ª =T8 F É b I2-AC:; :; ACF\6fI=JS 3546S B79;58@89ACG-<C;TÎ = 3546F%DE7H=TACFUDH; 89;52AC< ;58mD 3^f46AC89AC; DE;5<C<L; KM2; ;]DO<W= 354PS B7@;?8@89ACGAL<CArDH ;58mD Õ 5; c #%$ "! ª '&'( n &) =T8 FjÖ. I2AC:; DEfA &4JDE7@46Bg; :; ACF\6fI=JS 3546S B79;5898@ALG<C; =Q6;53 /š1 E Cž Ÿ ;]D #,$ ª *+! ; S =kde57@aw=j2 ;58mD 8mDE7@2-3]DH279 c <V]D^=aDOALFAiDEA>=T< Æ Ì Î &'( &) ª PS BI=J7946F8.8@27 <W= µ Î À <V]Q64P<L2DHAL4PF =J2 354P2-7@8 :2 DE;5S B8 Æ ; Á B7@;5S AC?7@;58.89;5354PF-:;58h:-2 ¹9¹@¹» 3=T<C352< Ì²:2 :5GArD S =J8989ACKM2; c <V;5F%DE7@5; :; <W= 3546F:2AiDE; Bg4P27 <C;58 DH794PAL8 3=T85Î 4627 <C; 3=T8 F ¼PNg354PS S ; šœ H Lž Ÿ - AL<²;58±D eqac:;?f%d Ks2; <V535462<C;5S ;5F%D F; 79;5:5S =J797@; BI=T85N.<C; :5GAiD S =T898@ALKM2; 79;58mDE; c Á Î ; 3=J8 F É ;58±D 89;5S G<>=TG<C; c 35;5<L2A B-7@589;5F%DE :I=JF-8O<W= 0 <4UÎ = 354PS B79;58@89ACGAL<CArDH Bg;57@S ;]DO:-; Î+, F-;

145 » Æ =» X = Ê = Ì Ê»» ¼qÖ BB<LAC3=aDHAL4PF c < =T7@7 ]D;]D =T2 79;5:5S =T797H=T\P; : l2f G792D BI=J7E=# FALKM2; ¹@¹9¹P».Ê 79;5:5S =J797@;?7,<V535462<C;5S ;5F%D;?F ;5FUDH795;O:-;²<W= 3546F:2AiDE;(Bg;5F:I=JFUD.<C;58,B-7@;5S AC;5798,ALF8mDj=JFUDH8,:-2 79;5:5S =J797H=T\P;TN B-2AC8 <V5354P2<L;5S ;5F%D 8 Ç=J797 ]DE; <C46798@KM2-; <C;.7946F%D :-; 354PS B7@;?8@89AC46F =kd9dh;5alf%d <>= <C46F\P2-;527O3579AiDEACKs2; Bg4P27 <W=JKs2;5<C<L; Î / =TF8 <C; 3=T8 F ÖNY<L;58 ;]Ð!;]DE8 :; <>= DEfA &4JDE7@46BAL; ;ed :; <W= 3546S B7@;5898@ALGAC<LAiDE 8@46F%D B79AC8 ª ;?F 3546S BDE; ;]D <V535462<C;5S ;5F%D 7@;5:5S =T7@79;TÎ 4628 :53579AiQ646F8 35; 79;5:5S =J797E=J\6; c DH7E=ZQ6;5798 DH794PAL8 BfI=T8@;?8 3?4PS B7@;5898@AL4PFN :58±DE7@23]DE27H=aDEAC46F ;]D ]Dj=TG<CAL8@89;5S ;5FUDO:-; <V5354P2-<C;5S ;5F%D Î ;5S B8 Æ8jÌ µ hä À Ò,QP46<C2DEAC46F ;5F DH;5S B8(:;58(:5GAiDE8(S =T8@89ACKs2;58 : l;?f%dh795; Bg4627.DH794PAL8 5354P2<L;5S ;5F%DE8 _ 4P289à= ¹9¹@¹» ALF3546S B79;58@89ACG-<C; Æ /š1 E Cž Ÿ ;]D # $ Ì N( ACF\6fI=JS 354PS B79;58@89ACG<L; Æ ;ed ª *+! ª n &) ª "! # $ Ì Nˆ_ 4628@à= 354PS B79;58@89ACG<L; Æ /š1 E Cž Ÿ ;]D # $ ª &'( n &) ª *+! ª &'( n &) = µ Î B7@?8@;5FUDH; <l]q646<c2deac46f =T2 3?4P2798 :2 DE;5S B8 :2 :5GArD S =T8@89ACKs2; Bg4P2-7 <L; 3=J8 F Ö ¹9¹@¹» Æ Å!44PS 8@2-7 <C;58 Á6Á B79;5S AC 579;58 89;5354PF:-;58^Ì ;]D F4P2-8 Bg;57@S ;]D : VAC:-;5F%DEAiÕI;57 <C;58 DH794PAL8 BfI=T8@;58 :5357@ArDH;?8 3?A =TB7@ 58?Î 4PS B79;58@89AC46F ;]D9DH; B7@;5S AC 579; BfI=J89; <L4P798 :2 7@;5:?S =T7@7E=J\6; ;?8mD :46S ALF5; BI=J7 <L;58 ;]Ð!;]DH8 :; 354PS B79;58@89AC46F ;ed Bg;579S ;]D : lalfaideac;57 <l?354p2<l;5s ;?F%DÎƒÒ<C<C; ;58±D AC:;5FUDHArÕˆ=JG-<C; 8@27 <W= µ Î BI=T7 <C; BAC3 :; :5GAiD ¹@¹9¹» S =J898@ALKM2; : l;5fudh795; =J2 B7@;5S AC;?7@8 ACF8±D^=TF%DE8O:2 7@;5:5S =J797E=J\6;TÎ / =TAC<L<C;527985N35;]D9DH; Bf =J89; ;58mD 5\%= <L;5S ;5FUD B7@589;5F%DE; Bg4P27 <L; 3=J8 F ÉÎ = 354PS B79;58@89AC46F Bg;579S ;]D : V4PGDE;5FAC7 :;.d4p7±dh;58 3^fs2DH;58 :; B79;5898@AL4PF ;edo2f; ACS Bg4P7±D^=TF%DE; =T2\PS ;5F%Dj=kDEAC46F :-2 :5GAiD Î ALF8@AËN<C;58(ACS Bg4P7±D^=TF%DE;58.QArDH;5898@;58 c <V;5F DE7@5; :; <>= 3?4PF:2ArDH; ;?F\P;5F:79;5F%D 2F.467mD 35AC8E=JAL<C<L;5S ;5FUDKM2ABg;579S ;ed : VACFArDHAL;57O<L; S 53 =JFAL8@S ; :; :58±DE7@23]DE27E=kDEAC46F :2 S =kde57@aw=j2 Î /?8mDE7@23]DE27E=kDEAC46F ; S 53=TFAC89S ; :; :58mDE7923]DH27E=kDEAL4PF ;58mD :46F3 ACFArDHAL BI=T7 <>= BfI=J89; :-; 3546S B79;5898@AL4PF Î ACF89A N <L; BI=T7H=TS ]DH79; :; 8mDE7@2-3]DH279; 3jfM2DE; c <V;5F%DE7@?; :; <>= 3546F:2AiDE; 3546S S ; <C; S 46F%DE7@; <>= µ Î ¹@¹9¹» ÌÏÎ = QAL8@354689AiDE ;]D <W= 3546F%DE7H=TACFUDH; 8@;?2AC<ËNYKM2A:5Bg;5F-:;5F%D :2 BI=J7E=TS ]DE7@; :; 8mDE7@2-3]DH279;TN :ALS ALFM2;5F%D 5\U=J<L;5S ;5F%D Î V;58mD Bg4P279KM246A N3546F%DE7H=TAC79;5S ;5F%D=T2 3=J8(F ÉN<C; :5GArD²S =J8989ACKM2-; : V;5F%DE7@5; F; 3^fM2&DH; BI=T8!p@289KM2 Çc Á =JB79 58.<W= BfI=J89; :-; 3546S B79;5898@AL4PF N%S =JAL8gp@289KM2 Çc 2F;QJ=T<C;52-7S ALFACS =J<L;.8@2Bg579AC;5279; c Á Æ µ Î Ì Î$= =JALF%DE;5FI=JFUDNg<C; B79435;5898@28 :; :58±DH7923]DH2-7H=aDHAL4PF ;58±D <W=JF35 ;]D 8 Ç=T35355<C 579; BI=J7 ¹@¹9¹» 2F Bf5F46S 5F; : =J2DE4 =T<CALS ;?F%Dj=kDEAC46F Î ÒF ;]Ð;eDN354PS S ; <C; :5GAiD =T2\PS ;5F%DE;TN,<C; 35AC8E=JAL<C<L;»

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