!
UNIVERSITÉ MOHAMMED V-AGDAL
FACULTÉ DES SCIENCES
Rabat
!
!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!"#!$%&'$'(!)!!*+,-!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
THÈSE DE DOCTORAT
En cotutelle avec l’université de Provence Marseille
Présentée par
Hicham HACHADI
Discipline : Mathématiques
Spécialité : Analyse
Opérateurs de Hankel et théorie spectrale locale
!
!
!!!!!!!!!!!!!!!!!!!!!
.&/0(1/(!2(!,34564,5-7!!!
!
8(9:10!2(!;/'<!!!!
!!
!!!!!!='>?@$(10!)!
!
!""#$%&'$()!*+,
((((((((((((((-./(
!!!!!!!!!!A:B/20>!$(?!?B@(1B(?!C@1!*D&BE!*:?:F2:1B:(
GH:I@1:0(/'?!)!
!
.0(12332'(4.5*+!6,
!!!!!!!!!!!!!-./((((A:B/20>!$(?!?B@(1B(?!J:F:0KCL$:2M!N:'&B
!!!!!!!
.0(12332'(7*+//8,
(((((((((((((-./((((O1@9('?@0>!$(!='&9(1B(!N:'?(@22(M!A':1B(
!!!!
*92:(.0(8!66!1
!!!!!!!!!!!!!!!!!!!!!!!!!-./
!!!!!!!A:B/20>!$(?!?B@(1B(?
!J:F:0KCL$:2M!N:'&B
!!0$;2'%:$(<*5,=1.>
!!!!!!!!!!-./
!!!!!!O1@9('?@0>!$(!='&9(1B(!N:'?(@22(M!A':1B(!
?@A'(=*BC!7
(((((((((((((((((((((((((-./(((((O1@9('?@0>!P(&'L(!Q:?D@1L0&1M!O.C
!<$:'2:%(=*+-.D
(((((((((((((((((-./
!!!!!!!O1@9('?@0>!$(!='&9(1B(!N:'?(@22(M!A':1B(
!!0E@'3@(F*BDÈ/#5*)5,G+È/
(((((-./
!!!!O1@9('?@0>!$(!.>9@22(M!G?R:L1(!
!
!
A:B/20>!$(?!.B@(1B(?M!S!:9(1/(!TF1!U:00&/0:!UV=V!-5-S!J=M!J:F:0KN:'&B!
+(2W,-,!X5Y!7Z!ZZ!-3!7S47[473M!A:H!)!W,-,!X5Y!7Z!ZZ!S,!6-M!D00R)44\\\V]?'V:BVI:!
REMERCIMENTS :
!"#$%&'(')*$+&,#"-%,#$.'-#$/"%%"$%01#"$2-%$,%,$"33"/%),#$"-$42%)%"55"$"-%&"$
567-8("%,$ 920'::".$ ;<=>.'5$ "%$ 567-8("%,$ ."$ ?&2("-/"$ 9'&#"855"$ ')$
#"8-$.)$!'@2&'%28&"$.A=-'5B#"$"%$=++58/'%82-#$."$5'$3'/)5%,$."#$C/8"-/"#$."$
D'@'%$#2)#$5'$.8&"/%82-$."$92-#8")&$E5$F'##'-$G"&2)'58$"%$"-$/255'@2&'%82-$
'("/$ 5"$ !'@2&'%28&"$ .A=-'5B#"H$ I2+252>8"$ "%$ ?&2@'@858%,$ .)$ 4"-%&"$
9'%0,:'%8J)"#$"%$8-32&:'%8J)"$."$5A)-8("%,$."$?&2("-/"$9'&#"855"$#2)#$
5'$.8&"/%82-$."$92-#8")&$E5$F'##'-$K2)##38L$
$
M"$#)8#$%&1#$&"/2--'8##'-%$"-("&#$:"#$"-/'.&'-%#$92-#8")&$5"$?&23"##")&$
!"# $%&&%'# ()*&&+,$"%$92-#8")&$5"$?&23"##")&$!"# $%&&%'# -./)*%",$.A'(28&$
'//"+%"&$."$:A"-/'.&"&$"%$.8&8>"&$/"%%"$%01#"L$!")&#$#2)%8"-#H$.8#+2-8@858%,$
"%$"-/2)&'>":"-%#$:A2-%$+"&:8#$."$@8"-$:"-"&$/"$%&'('85L$
$
M"$ %8"-#$ N$ &":"&/8"&$ (8(":"-%$ 92-#8")&$ 5"$ ?&23"##")&$ 0112.3,'.# 4%)*,$
+2)&$5A02--")&$"%$5A':'@858%,$J)A85$:"$3'8%$"-$+&,#8.'-%$5"$O)&BL$
$
M"$ %8"-#$ N$ "*+&8:"&$ :"#$ #8-/1&"#$ &":"&/8":"-%#$ ')$ ?&23"##")&$ 56%/# !"#
7%""%8H$ ?&23"##")&$ N$ 5'$ 3'/)5%,$ ."#$ #/8"-/"#$ D'@'%H$ .A'(28&$ '//"+%"&$
.A"*':8-"&$/"%%"$%01#"$"%$.AP%&"$+'&:8$5"#$:":@&"#$."$O)&BL$
$
M"$&":"&/8"$/0'5")&")#":"-%$92-#8")&$5"$?&23"##")&$0".9%'3/.#:)/,;8.<H$
?&23"##")&$')$4"-%&"$9'%0,:'%8J)"#$"%$8-32&:'%8J)"$."$9'&#"855"H$.A'(28&$
'//"+%"&$.A"*':8-"&$:'$%01#"$"%$."$+&"-.&"$+'&%$')$O)&BL$
$
9"#$ (83#$ &":"&/8":"-%#$ #A'.&"##"-%$ N$ 92-#8")&$ 5"$ ?&23"##")&$ =)8'#
>)'?%@H$ ?&23"##")&$ N$ 5A)-8("%,$ ."$ Q"2&>"$ R'#08->%2-$ 7C=H$ SA'(28&$
'//"+%"&$."$&'++2&%"&$/"%%"$%01#"$"%$."$#8,>"&$.'-#$:2-$O)&BL$
$
M"$&":"&/8"$(8(":"-%$92-#8")&$5"$+&23"##")&$:./'%/3# >)*A.BH$?&23"##")&$
')$ 4"-%&"$ 9'%0,:'%8J)"#$ "%$ T-32&:'%8J)"$ 9'&#"855"H$ .A'(28&$ '//"+%"&$
.A"*':8-"&$:'$%01#"$"%$.AP%&"$+'&:8$5"#$:":@&"#$."$O)&BL$
$
M"$&":"&/8"$%&1#$/0'5")&")#":"-%$92-#8")&$5"$?&23"##")&$0"+)'&)#C)'BD&2
E)3/,F*D&H$ ?&23"##")&$ N$ 5A7-8("%,$ ."$ C,(855"H$ E#+'>-"H$ .A'(28&$ '//"+%"&$
$
$
M"$&":"&/8"$(8(":"-%$%2)#$5"#$:":@&"#$.)$!'@2&'%28&"$.A=-'5B#"$"%$
=++58/'%82-#$ "%$ .)$4"-%&"$9'%0,:'%8J)"#$ "%$ T-32&:'%8J)"$ J)"$ OA'8$/U%2B,#$
%2)%$')$52->$."$5'$+&,+'&'%82-$."$/"%%"$%01#"$+2)&$5")&$#2)%8"-$:2&'5$"%$5")&$
#B:+'%08"L$
$
M"$#)8#$%&1#$&"/2--'8##'-%$"-("&#$:"#$+'&"-%#H$:'$3':855"$"%$:"#$':8#$+2)&$
5")&$.,(2)":"-%$"%$"-/2)&'>":"-%#L$V)685#$%&2)("-%$8/8$5A"*+&"##82-$."$:"#$
:"855")&#$&":"&/8":"-%#L$
$
!"#$% &%' (")*+,%'
- .,/$*(*0"*,%' 1 !"! #$%&'()*%+'$ ,) -&'./012 (23 1'12$%3" " " " " " " " " " " " " " " " " 4 !"5 6&'./0123 7,+./2 (23 1'12$%3 " " " " " " " " " " " " " " " " " " " " " !8 !"5"! 9'&1)/,%+'$ () -&'./012 7,+./2 " " " " " " " " " " " " " " " " !8 !"5"5 :'$(+%+'$3 3);3,$%23 (<)$+*+%= () -&'./012 7,+./2 " " " " " " !8 !"5"> ?@+3%2$*2 (23 3'/)%+'$3 () -&'./012 (2 1'12$%3 (2 A%+2/%B23 !! !"5"C :'$(+%+'$3 3);3,$%23 (<+$(=%2&1+$,%+'$ " " " " " " " " " " " !5 !"> 6&'./0123 7'&%3 (23 1'12$%3 " " " " " " " " " " " " " " " " " " " " " !C !">"! 9'&1)/,%+'$ (23 -&'./0123 " " " " " " " " " " " " " " " " " " " !C !">"5 :'$(+%+'$3 (<)$+*+%= D) -&'./012 7'&% " " " " " " " " " " " " !E !"C 6'/F$G123 (2 H,)&2$% " " " " " " " " " " " " " " " " " " " " " " " " " !4 !"E I-=&,%2)&3 (<23-,*23 (2 J+/.2&% 2% */,3323 (2 A*K,%%2$ " " " " " " " !L !"E"! I-=&,%2)&3 ,(B'+$%3 2% %K='&012 3-2*%&,/ " " " " " " " " " " " !L !"E"5 I-=&,%2)&3 *'1-,*%3 " " " " " " " " " " " " " " " " " " " " " " 5! !"E"> :/,3323 (2 A*K,%%2$ " " " " " " " " " " " " " " " " " " " " " " " 55 !"M I-=&,%2)&3 (2 J,$N2/ " " " " " " " " " " " " " " " " " " " " " " " " " " 5M !"M"! #$%&'()*%+'$ " " " " " " " " " " " " " " " " " " " " " " " " " " " 5M !"M"5 I-=&,%2)&3 (2 J,$N2/ (2 3F1.'/2 ,$%+OK'/'1'&-K2 " " " " " 5M !"4 #$(&'()*%+'$ P /, %K='&+2 3-2*%&,/2 /'*,/2 " " " " " " " " " " " " " " " >8 !"4"! I-=&,%2)&3 (2 9&2(K'/1 " " " " " " " " " " " " " " " " " " " " >! !"4"5 +$Q2&32 (2 D&,R+$ " " " " " " " " " " " " " " " " " " " " " " " " >> !"4"> A-2*%&2 H'*,/ " " " " " " " " " " " " " " " " " " " " " " " " " " >C !"4"C H, -&'-&+=%= (2 /<2@%2$3+'$ )$+S)2 TAU?6V " " " " " " " " " " >E !"4"E W,F'$ 3-2*%&,/2 /'*,/2 " " " " " " " " " " " " " " " " " " " " " >M !"4"M H, -&'-&+=%= (2 D)$7'&( T:V " " " " " " " " " " " " " " " " " " >4 !"4"4 D=*'1-'3,.+/+%= " " " " " " " " " " " " " " " " " " " " " " " " " >L !"4"L :'$(+%+'$ (2 X+3K'- T!V " " " " " " " " " " " " " " " " " " " " >Y !"4"Y H, -&'-&+=%= (2 (=*'1-3+%+'$ !"" " " " " " " " " " " " " " " " C8 !2 34/,")%5,' &% 6"07%$ 82 5"! 6&=/+1+$,+&23 " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " C5 5"5 9:(#;$%' "0)*<(/,;(;,4=%' " " " " " " " " " " " " " " " " " " " " CM 5"> Z--/+*,%+'$3 " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " E> 5"C W21,&S)23 2% 2@21-/23 " " " " " " " " " " " " " " " " " " " " " " " " " M8 > ?0@",*"0A% '4%A),"$% B8 >"! #$%&'()*%+'$ " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " " MC >"5 6&'-&+=%=3 3-2*%&,/23 " " " " " " " " " " " " " " " " " " " " " " " " " " 48 >"> [=$=&,/+3,%+'$3 " " " " " " " " " " " " " " " " " " " " " " " " " " " " " 4M >"C \K='&+2 3-=*%&,/ /'*,/2 " " " " " " " " " " " " " " " " " " " " " " " " " L8 >"E D=*'1-'3,.+/+%= " " " " " " " " " " " " " " " " " " " " " " " " " " " " " L5 5
#$%&'()*%+'$ ]=$=&,/2
:2%%2 %K032 32 *'1-'32 (2 (2)@ -,&%+23 +$(=-2$(,$%23" ^')3 *'112$_'$3 -,& )$ *K,-+%&2 +$%&'()*%+7 ,F,$% -')& .)% (2 &,3321./2& /23 -&+$*+-,)@ &=3)/%,%3 3)& /23 '-=&,%2)&3 (2 J,$N2/ 2% (2 -&=32$%2& /23 (+`=&2$%23 -&'-&+=%=3 =/=12$%,+&23 (2 /, %K='&+2 3-2*%&,/2 /'*,/2"
D,$3 /, -&21+0&2 -,&%+2a $')3 =%)(+'$3 /23 -&'-&+=%=3 3-2*%&,/23 (23 '-=&,O %2)&3 (2 J,$N2/ 3)& )$2 *')&'$$2 *2 S)+ $')3 -2&12% 2$ -,&%+*)/+2& (<'.%2$+& (23 2@21-/23 (<'-=&,%2)&3 (2 J,$N2/ (2 3F1.'/23 $'$O-'/F$G1+,)@" ^'%&2 1=%K'(2 &2-'32 3)& /<)%+/+3,%+'$ (2 /, %K='&+2 (23 -'/F$G123 (2 H,)&2$% ,+$3+ S)2 /, $'%+'$ (2 1'12$%3 7'&%3"
H, (2)@+012 -,&%+2 -'&%2 2332$%+2//212$% 3)& /<=%)(2 (23 -&'-&+=%=3 3-2*%&,/23 2$ *'11)$ (23 '-=&,%2)&3 # 2% $ 3,%+37,+3,$% /<=S),%+'$ #!# #$# 2% $!# $#$% ^')3 ]=$=&,/+3'$3 (<,.'&( /23 &=3)/%,%3 (2 :K&+3%'-K2& A*K1'2]2& 3)& /<=],/+%= (23 (+`=&2$%3 3-2*%&23 (2 *23 '-=&,%2)&3a 2$3)+%2 $')3 =%,./+33'$3 /2)&3 -&'-&+=%=3 3-2*%&,/23 /'*,/23 2$ *'11)$"
.",)*% ? C
^')3 2$%,1'$3 (,$3 /2 (2)@+012 *K,-+%&2 (2 *2%%2 %K032 /<=%)(2 (23 '-=&,%2)&3 (2 J,$N2/ (2 3F1.'/23 ,$%+1=&'1'&-K23a /2 *,3 (23 3F1.'/23 ,$%+K'/'1'&-K23 , =%= =%)(+= -,& -/)3+2)&3 ,)%2)&3 Q'+& bCca b!>ca b!4ca b!Yca bLMca bYEca b!88c 2% b!85ca A*K$2+(2& bL5c , =%)(+= *23 '-=&,%2)&3 (,$3 /2 *,3 (<)$2 32)/2 Q,&+,./2 *'1-/2@2 /'&3S)2 /2 3F1.'/2 23% )$ -'/F$G12a 3, 1=%K'(2 *'$3+3%2 P 23%+12& /, $'&12 (2 /<'-=&,%2)& (2 J,$N2/ 2$ *,/*)/,$% 3'$ 2@-&233+'$ -')& /23 1'$G123 &!' (
! !% D,$3 b5!c 2% b55c *2 &=3)/%,% , =%= ]=$=&,/+3= (,$3 /2 *,(&2 1)/%+(+12$3+'$$2/ 2$ /+,+3'$ =%&'+%2 ,Q2* /23 1'12$%3 (2 A%+2/%B23"
I$ -2)% &21,&S)2& S)2 *23 %&,Q,)@a 2$ =%)(+,$% /23 -&'-&+=%=3 3-2*%&,/23 (2 /<'-=&,%2)& (2 J,$N2/a *'$()+32$% (,$3 /2 *,(&2 (23 23-,*23 (2 X2&]1,$ 2% (23 23-,*23 (2 9'*N ]=$=&,/+3=3a P *,&,*%=&+32& /23 7'$*%+'$3 ) a %2//23 S)2 /<'-=&,%2)& (2 J,$N2/ *" 23% .'&$= T&23-" *'1-,*%a (,$3 /23 */,3323 (2 A*K,%%2$V b%K='&012 Za b5!c"
I$ 3<+$%=&2332 P /, -'33+.+/+%= (<'.%2$+& (23 '-=&,%2)&3 (2 J,$N2/ .'&$=3 T&23-" *'1-,*%3a (,$3 /23 */,3323 (2 A*K,%%2$V ('$% /2 3F1.'/2 $<23% -,3 $=*233,+&212$% )$ -'/F$G12"
I$ $'%2 $# #"& ! " % +! ,#&# , +"$ /, *')&'$$2 (2 &,F'$3 +! 2% +" 2% '$ *'$3+(0&2 /, 3)+%2 (23 1'12$%3 7'&%3 - # !-$"$"! (=d$+2 -,&a -')& %')% . ! !a
-,& e -%# ! & ' /%.0!/"2% -!%# ! & ' /!%.0!/" # ! ! ! ! " /%."0!/" # "-%
'f & % 1 , 2 % '& 2% 0 23% )$2 123)&2 &=2//2 -'3+%+Q2 P 3)--'&% (,$3 (1' 2) ,-O -2/=2 &2-&=32$%,$%2 T') &2-&=32$%,%+'$V (2 - 2%"0 /<+1,]2 (2 0 Q+, /, %&,$37'&1,%+'$ /' #
(%
I$ (=3+]$2 -,& (!!-" /<23-,*2 (23 7'$*%+'$3 ) !&" # # !"!
1!&! K'/'1'&-K23 3)& $# %2//23 S)2
"# $ !#
-!#1!#!, '&%
^')3 ,//'$3 1'$%&2 (!!-" 23% /, 72&12%)&2 (2 /<23-,*2 (23 -'/F$G123 (2 H,)&2$% T(=d$+3 (,$3 /, 32*%+'$ !"CV D,$3 3!!0 #" 3+ 0# 23% )$2 123)&2 &2-&=32$%,$%2 (2 /, 3)+%2 (23 1'12$%3 "-)$)"!% ?$ -,&%+*)/+2&a (!!-" 23% 23-,*2 (2 J+/.2&% 1)$+ () -&'()+% 3*,/,+&2 ))' 4* %#$ !"! -!1!2! ,Q2* ) !&" # # !"! 1!&! 2% 4!&" # # !"! 2!&! (2)@ =/=12$%3 (2 (!!-"%
A+ 5#!%' %"(=3+]$2 /2 $'F,) &2-&'()+3,$% (2 *2% 23-,*2a '$ $'%2 6#/, -&'B2*%+'$ '&%K']'$,/2 ,33'*+=2 P (!!-" (=d$+2 -')& %')% 4 ! 3!!0 #" -,& e !6#4" # ! $# 5#!&' 7"4!7".0#!7"' &! $# ,Q2* 5#!&' 7" /2 $'F,) &2-&'()+3,$% (2 /<23-,*2 (!!-"% H<'-=&,%2)& (2 J,$N2/ (2 3F1.'/2 ) 23% (=d$+ -,& (2$3+%= (2 (!!-"(,$3 3!!0 #"a 2% -2)% 3<=*&+&2 3')3 /, 7'&12 *"!8" # !9+ 6#"!) 8"
-')& %')% -'/F$G12 (2 H,)&2$% 8" ^'%&2 -&21+2& &=3)/%,% 23% /2 3)+Q,$% e !=/;,+(% D C A'+% ) )$ -'/F$G12 (2 H,)&2$% K'/'1'&-K2" Z/'&3 *"/<'-=&,%2)& *" 23% .'&$= 3+ 2% 32)/212$% 3+ +,-)"" !-)"! -) + -) -)!!" , '& 2% +,-)""! "-)"! "-) + "-) "-)!! " , '&' ,( ! -:;<!)"% ."/<'-=&,%2)& *" 23% *'1-,*% 3+ 2% 32)/212$% 3+ /01 )$"#! -)"! -) + -) -)!!" # & 2% /01)$"#! "-)"! "-) + "-) "-)!! " # &' ,( ! -:;<!)"% >
?$ *2 S)+ *'$*2&$2 /<,--,&%2$,$*2 (2 /<'-=&,%2)& (2 J,$N2/ ,) */,3323 (2 A*K,%O %2$ '$ ,
!=/;,+(% E C A'+% ) )$ -'/F$G12 (2 H,)&2$% K'/'1'&-K2" Z/'&3 /<'-=&,%2)& *" 23% (,$3 /, */,332 (2 3*K,%%2$ -$!(!!0#"' 3!!0#"" 3+ 2% 32)/212$% 3+ $ )"" !-)"! -) + -) -)!!" $ " , '& 2% $ )"" !"-)"! "-) + "-) "-)!! "$" , '&' ,( ! -:;<!)"% :'112 ,--/+*,%+'$a *'$3+(=&'$3 /<23-,*2 (!!0 *" ,Q2* 0*# ;!%+% % !!&!%! .#!&"' = > & 2% .#!&" /, 123)&2 (2 H2.23])2 $'&1,/+3=2 3)& /2 -/,$ *'1-/2@2
(!!0*" #") ! *?@!" # "&$" % !
#"#)!&"#
!
23-!+ #&#*+ *
#&#*".#!&" , '&$% 'f *?@!" # "&$" 23% /<23-,*2 (23 7'$*%+'$3 K'/'1'&-K23 (,$3 " # "&$%
H23 1'12$%3 (2 /, 123)&2 0* 3'$% ('$$=3 -,& -%# ! "# % /%23-!+/*+ * /*"./' .! $ -')& ) ! (!!0
*"/<'-=&,%2)& (2 J,$N2/ *" 23% (=d$+ 3)& A!=" -,& e *"!8"!&" # ! #" 5*!&' 7"8!7"() !&"+ )!7").0*!7" ,Q2* A!=" /, */,332 (23 7'$*%+'$3 ) ! (!!0 *" %2//23 S)2 ) 85*!&' %" ! 3#!0*"a 8 )$ -'/F$G12 (2 H,)&2$% K'/'1'&-K2 2% 5*!&' %"/2 $'F,) &2-&'()+3,$% (2 (!!0*"%
g$ ,)%&2 &=3)/%,% -&+$*+-,/ (2 *2%%2 %K032 23% /2 %K='&012 3)+Q,$% e !=/;,+(% F C A'+% ) ! (!!0
*"',Q2* = )$ &=2/ 3%&+*%212$% -'3+%+7 2% 3'+% B /, %&,$37'&1,%+'$ (=d$+2 -,& B ) !&" # ) !#+" ,/'&3 e
!V /23 '-=&,%2)&3 *" 2% *, " 3'$% .'&$=3 3)& (!!0
*"3+ 2% 32)/212$% 3+ ) 23% )$ -'/F$G12 (2 H,)&2$% (2 HO(2]&= +$7=&+2)& ') =],/ P .=%
5V/23 '-=&,%2)&3 *" 2% *, " 3'$% *'1-,*%3 3)& (!!0
*" 3+ 2% 32)/212$% 3+ ) 23% )$ -'/F$G12 (2 H,)&2$% (2 HO(2]&= 3%&+*%212$% +$7=&+2)& P .=%
>V /23 '-=&,%2)&3 *"2% *, " 3'$% (,$3 /, */,332 (2 A*K,%%2$ -$!(!!0*"' 3!!0*""3+ 2% 32)/212$% : > . 2% ) 23% )$ -'/F$G12 (2 H,)&2$% (2 HO(2]&= 3%&+*%212$% +$7=O &+2)& P !*&$!!'$ %
6')& (=1'$%&2& *2 (2&$+2& %K='&012 '$ +$%&'()+% /2 3')3O23-,*2 . (2 (!!0 *" 7'&1= (23 7'$*%+'$3 ) ! (!!0 *" %2//23 S)2 *" 23% .'&$=" I$ $'%2 .# /2 3')3O 23-,*2 (2 . *'$3%+%)= (23 3F1.'/23 ) -')& /23S)2/3 *" 23% *'1-,*% 2% d$,/212$% -')& : / * .$#") ! .' *" ! -$!(!!0*"' 3!!0*""$% '$ 1)$+% . 2% .$ &23-2*%+Q212$% (23 321+O$'&123 0)0& # % %*"%% ' #)!&"# 0)0&$ # % %*"%% '$'#)!&"# % ,+$3+ .' .# 2% .$ 3'$% (23 23-,*23 (2 X,$,*K" ?$3)+%2a $')3 =%,./+33'$3 /<+$Q,&+,$*2 (23 23-,*23 .' .#2% .$3')3 /<,*%+'$ (23 &'%,%+'$3" 6')& C ! %' $'%'$3 +- /, %&,$37'&1,%+'$ +-!&" # ;.-& -')& %')% & ! "% Z/'&3 e
G%((% - C A'+% C ! %% Z/'&3 /<'-=&,%2)& +- (=d$+ -,& +-) %# ) 1 +- 23% )$2 +3'1=%&+2 (2 3!!0
*"(,$3 /)+ 1h12 2% (2 (!!0*"(,$3 /)+ 1h12" D2 -/)3 !V A+ ) ! .a ,/'&3 +-) ! . 2% 0+-)0�)0&%
5V A+ ) ! .#a ,/'&3 +-) ! .#%
>V A+ ) ! .$a ,/'&3 +-) ! .$ 2% 0+-)0&$ #0)0&$%
?$d$a 2$ )%+/+3,$% /23 &=3)/%,%3 -&=*0(2$%3 2% /23 -&'-&+=%=3 (23 23-,*23 .' .# 2% .$a $')3 =%,./+33'$3 /2 /2112 3)+Q,$% e G%((% 2 C A'+% ) ! (!!0 *"2% 3'+% ( ! -:;<!)"% Z/'&3 e !V A+ ) ! .a ,/'&3 &! 23% (,$3 .% 5V A+ ) ! .#a ,/'&3 &! 23% (,$3 .#% >V A+ : / * 2% 3+ ) ! .$a ,/'&3 &! 23% (,$3 .$% .",)*% ?? C D,$3 !" #"$%&"$ '()*&+$" %,-. ',//"%0,%. *)$ #,%%"$ -%" .1%+(2." 34%4$)!" #". $4.-!+)+. ,5+"%-. *)$ 6(78'(/,"3"$ .-$ !". *$,*$&4+4. #". ,*4$)+"-$. !&%4)&$". 5,$%4. # "+ $ 94$&:)%+ !". &#"%+&+4. #! # #$# "+ $! # $#$ ;<=>? "+ <=@?AB !C43)!&+4 #". #&D4$"%+. .*"'+$". #". ,*4$)+"-$. # "+ $ "% ".+ !" *$&%'&*)! $4.-!+)+7 E!-. *$4'&.4/"%+B !" $4.-!+)+ ".+ !" .-&9)%+
!=/;,+(% C!DE%F<E=?;4;G (*.)"
A'+2$% #' $ ! 2 !H" %2/3 S)2 #!# #$# 2% $!# $#$%Z/'&3 '$ , e I" J$!#" # "&$ # J$!#$" # "&$ # J$!$#" # "&$ # J$!$" # "&$ II" J'$!#" # "&$ # J'$!#$" # "&$ # J'$!$#" # "&$ # J'$!$" # "&$ III" J/!#" # "&$ # J/!#$" # "&$ # J/!$#" # "&$ # J/!$" # "&$ IK" J !#" # J !#$" # J !$#" # J !$"
K" J0!#" # "&$ # J0!#$" # "&$ # J0!$#" # "&$ # J0!$" # "&$ KI" J1!#" # J1!#$" # J1 !$#" # J1!$" %
F,-. )!!,%. "%.-&+" )/4!&,$"$ !". $4.-!+)+. "+ !". #4/,%.+$)+&,%. #" 6(78'(/,"3"$ .-$ !". *$,*$&4+4. .*"'+$)!". ',//-%". #" +"!. ,*4$)+"-$.B %,-. #,%%,%. #C)5,$# -%" %,-9"!!" *$"-9" #" !C43)!&+4 #". .*"'+$". "% "G*!&'&+,%. !C&%9"$." #" !L9 + #" "% H,%'+&,% #" '"!-& #" !L9 + $"' %,-. #4/,%+$,%. "%.-&+" !". 43)!&+4. #". )-+$". .*"'+$". .)%. "G'!-$" !" I4$,7 E!-. *$4'&.4/"%+ %,-. *$,-9,%. J-"
&! J$!#"3 J$!$" % :2 S)+ $')3 -2&12% (<,Q'+& /2 &=3)/%,% 3)+Q,$% e
!=/;,+(% C A'+2$% #' $ ! 2 !H" %2/3 S)2 #!# #$# 2% $!# $#$%Z/'&3 '$ , e I" J$!#" # J$!#$" # J$!$#" # J$!$" % II" J'$!#" # J'$!#$" # J'$!$#" # J'$!$" % III" J/!#" # J/!#$" # J/!$#" # J/!$" IK" J !#" # J !#$" # J !$#" # J !$" K" J0!#" # J0!#$" # J0!$#" # J0!$" KI" J1!#" # J1!#$" # J1 !$#" # J1!$" %
9+$,/212$%a %,-. )5,$#,%. !" 9,!"+ %,% "G*!,&+4 #" !) +(4,$&" .*"'+$)!" !,')!" *,-$ '" +1*" #C,*4$)+"-$.B %,-. #4/,%+$,%. )!,$. J-" .& # *,..2#" !) 8KLE ;$".*7 M) *$,*$&4+4 #" N&.'(,* !!"B M) *$,*$&4+4 !""' !) #4',/*,.)5&!&+4A .& "+ ."-!"/"%+ .& #$' $#' "+ $ *,..2#" !) 8KLE ;$".*7 M) *$,*$&4+4 #" N&.'(,* !!"B M) *$,*$&4+4 !""' !) #4',/*,.)5&!&+4A7
F="4*),%
-.,/$*(*0"*,%'
-H-
?0),;&5A)*;0 "5 4,;#$+(% &%' (;(%0)'H
?$ !LYCOYEa \" i" A%+2/%B23 , -)./+= )$ ,&%+*/2 %&03 +1-'&%,$% jW2*K2&*K23 3)& /23 7&,*%+'$3 *'$%+$)23j 2$ +$%&'()+3,$% /<+$%=]&,/2 (2 A%+2/%B23" #/ , =],/212$% -'3= 2% &=3'/) /2 -&'./012 3)+Q,$%a ,--2/= 4,;#$+(% &%' I;(%0)' T:/,33+S)2 ') 6&'./012 7,+./2V"
\&')Q2& )$2 7'$*%+'$ M!N" *&'+33,$%2a .'&$=2 ,Q2* )$2 +$d$+%= (2 -'+$%3 (2 *&'+33,$*2 3)& (&' &(a %2//2 S)2 323 1'12$%3
0)# # ! % N).M!N"' O # &' *' .' %%%' !*%*" '$% (23 Q,/2)&3 -&23*&+%23"
H2 %2&12 (;(%0) %&')Q2 323 '&+]+$23 (,$3 /, 1=*,$+S)2 */,33+S)2" H23 1'O 12$%3 0# 2% 0! 3'$% ,--2/=3 (;(%0) ')")*J5% 2% (;(%0) &K*0%,)*% &23-2*%+O Q212$%"
\')% ,) /'$] (2 *2 *K,-+%&2 /23 7'$*%+'$3 123)&23 M' ! 2% J ('+Q2$% h%&2 (23 7'$*%+'$3 *&'+33,$%23a .'&$=23 -&=32$%,$% )$2 +$d$+%= (2 -'+$%3 (2 *&'+33,$*2 3)& /<+$%2&Q,//2 9 'f 2//23 3'$% (=d$+23"
6,& /2 -&'./012 7,+./2 (23 1'12$%3a $')3 +$3+$)'$3 e \&')Q2& )$2 7'$*%+'$ M!N"*&'+33,$%2a .'&$=2 -&=32$%,$% )$2 +$d$+%= (2 -'+$%3 (2 *&'+33,$*2 3)& )$ +$O %2&Q,//2 9a %2//2 S)2 323 1'12$%3 0)# ! 2 N).M!N"' O! ! !*%." '$% (23 Q,/2)&3 -&23*&+%23" 4
6,& /2 -&'./012 7'&% (23 1'12$%3a $')3 +$3+$)'$3 e \&')Q2& )$2 7'$*%+'$ M!N"*&'+33,$%2a .'&$=2 -&=32$%,$% )$2 +$d$+%= (2 -'+$%3 (2 *&'+33,$*2 3)& )$ +$O %2&Q,//2 9a %2//2 S)2 323 1'12$%3 0) # ! 2 N).M!N"' O ! $ !*%4" '$% (23 Q,/2)&3 -&23*&+%23" D,$3 /23 (2)@ *,3 '$ (+% S)2 M ]=$0&2 /, 3)+%2 "0)$%
I$ -2)% (+3%+$])2& 2$%&2 (+`=&2$%3 %F-23 (2 -&'./0123 (2 1'12$%3 (,$3 /2 %,./2,) 3)+Q,$%a (,$3 /2 *,3 () -&'./012 (2 J,)33('&` '$ -2)% *'$3+(=&2& )$ +$%2&Q,//2 (1' 2) ,&.+%&,+&2"
6&'./012 7,+./2 6&'./012 7'&% J,)3('&` O! !' 9 # (&' *) O! $' 9 # (&' *) A%+2/%B23 O! !' 9 # (&' &) O! $' 9 # (&' &) J,1.)&]2& O! !' 9 # (+&' '&) O ! $' 9 # (+&' '&)
A%+2/%B23 TbLCc 2% bLEcV , )%+/+3= /, %K='&+2 (23 7&,*%+'$3 *'$%+$)23 -')& &=3')(&2 /2 -&'./012 T!"!V" g$2 *'$(+%+'$ $=*233,+&2 2% 3);3,$%2 -')& /<2@+3%2$*2 (2 /, 3'/)%+'$ (2 *2 -&'./012 23% /, -'3+%+Q+%= (23 (=%2&1+$,$%3 (2 J,$N2/ 5) 2% 5&#') -')& %')% O ! !% 5)# & & & & & & & & & & 0% 0# %%% 0) 0# 0! %%% 0)"# 0) 0)"# %%% 0!) & & & & & & & & & & 4&&0."3 & &) .43 !*%6" 5&#') # & & & & & & & & & & 0# 0! %%% 0)"# 0! 0( %%% 0)"! 0)"# 0)"! %%% 0!)"# & & & & & & & & & & 4&&0."3"# & &) .43
H<2@%2$3+'$ () -&'./012 (23 1'12$%3 3)& %')% /<,@2 (23 &=2/3 , =%= 7,+%2 2$ !Y58O5! -,& J"H" J,1.)&]2& TCEV" #/ , *'$3+(=&= /2 -&'./012 (2 1'12$%3
0)# "# ! !# N).M!N"' O ! ! !*%7" L
L%(",J5% -H-H- 8& %,-. %C"G&3",%. *). J-" !) H,%'+&,% /".-$" M *$4."%+" -%" &%:%&+4 #" *,&%+. #" '$,&..)%'" #)%. ;@7@AB ;@7OAB ;@7PA "+ ;@7QAB )!,$. '". &%+43$)!". #434%2$"%+ "% .,//". :%&".7
I$ 2@+]2 S)2 %')3 /23 1'12$%3 3'+2$% d$+3 %')% ,) /'$] (2 *2 ('*)12$%" M/N0*)*;0 -H-H- R% #&+ J-" !". *$,5!2/". #" /,/"%+. ;@7@A "+ ;@7PA .,%+ !"# $%&'()"* ,- +)(,+%'%)$ !"$%&'()"*- .C&! "G&.+" )- *!-. -%" ."-!" H,%'+&,% M J-& .)+&.H)&+ ;@7@A "+ ;@7PA7
8& !". *$,5!2/". ;@7@A "+ ;@7PA %" .,%+ *). #4+"$/&%4. )!,$. ,% #&+ J-C&!. .,%+ ()!"$%&'()"*B #)%. '"++" .&+-)+&,% &! 1 ) *!-. J-C-%" ."-!" H,%'+&,% M%
D2)@ 3'/)%+'$3 M# 2% M! 3'$% (+%23 =],/23 3+ ! 2 ) !N".M#!N" # ! 2 ) !N".M!!N" -')& %')%2 7'$*%+'$ *'$%+$)2 )% :2*+ 23% =S)+Q,/2$% P *2 S)<+/ 2@+3%2 )$2 *'$3%,$%2 D %2//2 S)2 M#!N" # M!!N" ' D'-')& %')% -'+$% (2 *'$%+$)+%="
A%+2/%B23 TbLCc 2% bLEcV , -&')Q= S)2 /2 -&'./012 (23 1'12$%3 T!"!V 23% (=%2&O 1+$= ') +$(=%2&1+$=a 32/'$ S)<)$2 *2&%,+$2 7&,*%+'$ *'$%+$)2 23% *'$Q2&]2$%2 ') (+Q2&]2$%2"
J,1.)&]2& TbCEcV , -&')Q= S)<)$2 *'$(+%+'$ $=*233,+&2 2% 3);3,$%2 -')& /<2@+3O %2$*2 (<)$2 3'/)%+'$ () -&'./012 T!"EV 23% S)2 /23 (=%2&1+$,$%3 5) (,$3 T!"CV 3'+2$% -'3+%+73" #/ , =],/212$% -&=*+3= /23 *'$(+%+'$3 -')& S)2 /2 -&'./012 (2 1'O 12$%3 T!"EV 3'+% (=%2&1+$= ') +$(=%2&1+$="
?$ !Y5!O5> k" W+23R Tb4Mca b44c 2% b4LcV , &=3'/) /2 -&'./012 T!"EV 2$ )%+/+3,$% /23 -'/F$G123 S),3+O'&%K']'$,)@"
Z) *')&3 (2 !Y55O5M \" :,&/21,$ Tb54ca b5Lc 2% b5YcV , 1'$%&= /, *'$$2@+'$ 2$%&2 /2 -&'./012 T!"EV 2% /, %K='&+2 (23 7'$*%+'$3 S),3+O,$,/F%+S)23 2% /23 7'&123 S),(&,%+S)23 2$ )%+/+3,$% /23 3=&+23 ,3F1-%'%+S)23"
?$%&2 !YL!OLC l" X" i'$23a I" ^B,3%,(a l" i" \K&'$a J" l,,(2/,$( TbE>c 2% bECcV '$% *'$3+(=&=3 /2 -&'./012 7'&% (23 1'12$%3 (2 A%+2/%B23 2% /2 -&'./012 7'&% (23 1'12$%3 (2 J,1.)&]2&" #/3 '$% 3-=*+d= 2% -&')Q= /23 *'$(+%+'$3 $=*233,+&23 2% 3);3,$%23 (2 /<2@+3%2$*2 2% (2 /<)$+*+%= (2 3'/)%+'$3 2$ )%+/+3,$% /, %K='&+2 (23 7&,*%+'$3 *'$%+$)23 2% /23 (=%2&1+$,$%3 (2 J,$N2/ 3')3 )$2 7'&12 -/)3 ]=$=&,/2 S)2 T!"CV"
6')& /23 -&'./0123 (2 1'12$%3 T!"!Va T!"5V 2% T!">V +/ F , (2)@ -&'./0123 -&+$*+-,)@ e
T+V H<2@+3%2$*2 (<)$2 3'/)%+'$" T++V H<)$+*+%="
^')3 ,//'$3 1,+$%2$,$% 2@-'32& (23 &=3)/%,%3 &2/,%+73 ,)@ (+`=&2$%3 %F-23 (2 -&'./0123 (2 1'12$%3"
-H2
.,;#$+(%' O"*#$% &%' (;(%0)'
-H2H-
P;,(5$")*;0 &5 4,;#$+(% O"*#$%
H2 -&'./012 7,+./2 (23 1'12$%3 23% (=d$+ *'112 3)+% eA'+% "0)$)"" )$2 3)+%2 ('$$=2 (2 $'1.&23 -'3+%+73a /2 -&'./012 7,+./2 (2 1'O 12$%3 *'$3+3%2 P %&')Q2& )$2 7'$*%+'$ M!/" *&'+33,$%2 .'&$=2 ,Q2* )$2 +$d$+%= (2 -'+$%3 (2 *&'+33,$*2a %2//2 S)2 -')& O # &' *' .' %%%' )$2 (23 *'$(+%+'$3 3)+Q,$%23 23% Q=&+d=2 !I" & ! ' /).M!/" # 0 )' #1# ' #2# , &% !II" # ! % /).M!/" # 0 )% !III" "# ! !# /).M!/" # 0 )%
T+V A<,--2//2 -&'./012 (23 1'12$%3 (2 J,)3('&`" T++V A<,--2//2 -&'./012 (23 1'12$%3 (2 A%+2/%B23" T+++V A<,--2//2 -&'./012 (23 1'12$%3 (2 J,1.)&]2&"
:23 %&'+3 -&'./0123 (2 1'12$%3 3'$% %')3 */,33+S)23 2% '$% =%= =%)(+=3 (,$3 -/)3+2)&3 ,3-2*%3 (+`=&2$%3"
D,$3 /2 -,&,]&,-K2 3)+Q,$% $')3 ,//'$3 2@-'32& /23 (+`=&2$%3 &=3)/%,%3 (<)$+*+%= 2% (2 (=%2&1+$,%+'$ () -&'./012 7,+./2"
-H2H2
F;0&*)*;0' '5Q'"0)%' &K50*A*)/ &5 4,;#$+(% O"*#$%
!=/;,+(% -H2H- ;6)$!"/)% <OS?B <O=?B <OT?A8,&+ M!/" -%" H,%'+&,% '$,&..)%+" 5,$%4" #4:%&" .-$ (&' '&(B .-**,.,%. J-" M!/" ) -%" &%:%&+4 #" *,&%+. #" '$,&..)%'" .-$ (&' '&( "+ .,&+
0)# # ! % /).M!/"' O! !% U!,$. .& # $ ))# * 0 ! "' ) #& !.%*"
!" *$,5!2/" #" /,/"%+ #" 8+&"!+V". ".+ -%&J-"/"%+ #4+"$/&%47
H, *'$(+%+'$ T5"!V 3<,--2//2 *'$(+%+'$ (2 :,&/21,$" .,%5@%HU'+& bC!c
g$ %K='&012 ,$,/'])2 (,$3 /2 *,3 () -&'./012 (2 J,1.)&]2&a S)+ , =],/212$% =%= -&')Q= -,& :,&/21,$a 23% /2 3)+Q,$% e
!=/;,+(% -H2H2 ;6)$!"/)% <OS?B<O=?B <OT?A
8,&+ M!/" -%" H,%'+&,% '$,&..)%+" 5,$%4" #4:%&" .-$ ) + &' '&(B .-**,.,%. J-" M!/" ) -%" &%:%&+4 #" *,&%+. #" '$,&..)%'" .-$ )+ &' '&( "+ .,&+
0)# "# ! !# /).M!/"' O! !% U!,$. .& # $ ))# * 0 ! "' ) #& !.%." !" *$,5!2/" #" /,/"%+ #" W)/5-$3"$ ".+ -%&J-"/"%+ #4+"$/&%47 H, *'$(+%+'$ T5"5V 3<,--2//2 ,)33+ *'$(+%+'$ (2 :,&/21,$"
H2 -&'./012 (2 1'12$%3 (2 J,)3('&` 23% %')B')&3 )$+S)212$% (=%2&1+$=a 2$ 2`2% -)+3S)2 /, 7'$*%+'$ M!/" 23% .'&$=2a '$ -2)% 23%+12& /23 0) -,&
#0)# # & & & & & & & ! ' /).M!/" & & & & & &% < ) ,Q2* < )$2 *'$3%,$%2 -'3+%+Q2" :2 S)+ +1-/+S)2 S)2 * #0)# ! "' / * <!" > &
2% -,& 3)+%2 /, *'$(+%+'$ (2 :,&/21,$ T5"!V 23% &=,/+3=2"
-H2H>
RS*')%0A% &%' ';$5)*;0' &5 4,;#$+(% &% (;(%0)' &%
9)*%$)T%'
H, *'$(+%+'$ (2 :,&/21,$ T5"!V $<23% -,3 3);3,$%2 -')& /<2@+3%2$*2 (23 3'/)O %+'$3 (,$3 /2 *,3 (2 A%+2/%B23a -')& /2 Q'+&a *'$3+(=&'$3 /<2@21-/2 3)+Q,$% e
A'+% /, 3)+%2 (2 1'12$%3 e "0)$)"" #"O$)""a ,/'&3 /2 (=%2&1+$,$% (2 J,$N2/ (<'&(&2 5 23% 5&#'# # & & & & 00#! 00!( & & & & # 0#0(+ 0 ! !# 4+ 6 , & !!
2% -,& 3)+%2 /, *'$(+%+'$ () (=%2&1+$,$% $<23% -,3 &=,/+3=2 *2 S)+ *'$()+% 2$ %2$,$% *'1-%2 () %K='&012 (2 A%+2/%B23 TbLCc 2% bLEcV S)2 /2 -&'./012 (2 1'12$%3 ]=$=&= -,& /, 3)+%2 "0)$)"" # "O$)"" $<,(12% ,)*)$2 3'/)%+'$ 1,/]&= S)2 /, *'$(+%+'$ (2 :,&/21,$ 3'+% 3,%+37,+%2 -)+3S)2 ## ))# # 5 ! "' ' / ## ))# # ) #&
:'$3+(=&'$3 1,+$%2$,$% /2 -&'./012 (2 1'12$%3 ]=$=&,/+3= # ! % /6'.M!/" # 0 )' !& # L%, L#, %%% , L)' &" !.%4" H2 -&'./012 (2 1'12$% T5">V 23% (+% &/)%,(*0/ 3<+/ 2@+3%2 ,) -/)3 )$2 32)/2 7'$*%+'$ M!/" *&'+33,$%2 .'&$=2 ,Q2* )$2 +$d$+%= (2 -'+$%3 (2 *&'+33,$*2 3)& (&' '&( S)+ 3,%+37,+% T5">V 2% $'&1=2 -,& M!&" # &%
A)--'3'$3 S)2 L)"#+ L)> <' O # *' .' %%%' -')& *2&%,+$ < > & 2% -'3'$3
8!G" # 23-!. $ %76((/
* L3
"%
H2 %K='&012 3)+Q,$% ]=$=&,/+32 /2 %K='&012 (2 :,&/21,$ !=/;,+(% -H2H> ;X-'(. <Y@?A
8& &! "G&.+" -%" H,%'+&,% '$,&..)%+"B *,.&+&9" 9!G" "+ #". ',%.+)%+". *,.&+&9". # "+ 1 +"!!". J-" 8!G" > #! G 9!G"" ' "+ # $ ))! L)+ L)!# 0 ! !' ) 9!L)!#" #& !.%6"
)!,$. !" *$,5!2/" ;O7PA ".+ -%&J-"/"%+ #4+"$/&%47 .,%5@%HU'+& TbC!ca bC5c 2% bYYcV
H, *'$(+%+'$ T5"CV 3<,--2//2 *'$(+%+'$ (2 9)*K3"
-H2H8
F;0&*)*;0' '5Q'"0)%' &K*0&/)%,(*0")*;0
!=/;,+(% -H2H8 ;Z$"&% <@?A8-**,.,%. J-" J!P"B +& , P , '&B ".+ -%" H,%'+&,% '$,&..)%+" 5,$%4" J-& 34%2$" #". /,/"%+. :%&. #" +,-+ ,$#$" "+ .,&+ 0)# "# ! !# P).J!P"' O! !% !5
.& "# ! !# /:; J#!P" * ' P! .P >+& )!,$. !) .-&+" "0)$)"" 34%2$" -% *$,5!2/" #". /,/"%+. &%#4+"$/&%47 R[ J# ".+ !) #4$&94" #" !) *)$+&" )5.,!-/"%+ ',%+&%-" #" !) H,%'+&,% J% .,%5@%HU'+& b!c -,]2 L4 2% TbE4ca bELcV
6')& /2 *,3 () -&'./012 (2 1'12$%3 (2 A%+2/%B23 '$ , /2 %K='&012 3)+Q,$% e !=/;,+(% -H2HU ;L7 U!#4% <@>?A
8-**,.,%. J-" J!P"B & % P , '&B ".+ -%" H,%'+&,% '$,&..)%+" 5,$%4" J-& 34%2$" #". /,/"%+. :%&. #" +,-+ ,$#$" "+ .,&+ 0)# "# ! % P).J!P"' O! !% .& "# ! % /:; J#!P!" * ' P! .P >+& )!,$. !) .-&+" "0)$)"" 34%2$" -% *$,5!2/" #" /,/"%+ &%#"+"$/&%47 R[ J# ".+ !) #4$&94" #" !) *)$+&" )5.,!-/"%+ ',%+&%-" #" !) H,%'+&,% J
#/ 7,)% %')% (2 1h12 $'%2& S)2 1,/]&= *23 &=3)/%,%3 +/ 2@+3%2 (23 3)+%23 (2 1'12$%3 ('$% '$ $2 -2)% -,3 *'$*/)&2 3)& /, (=%2&1+$,%+'$ ') /<+$(=%2&1+$,%+'$ () -&'./012 2$ )%+/+3,$% /23 %K='&0123 T!"5"!V 2% T!"5"EV"
6')& +//)3%&2& *2/,a *'$3+(=&'$3 /2 -&'./012 (2 1'12$%3 (2 A%+2/%B23 3)+Q,$% e
0)# "# ! # /)23-!+/"#)! "./' & , .% *' O ! !% 2$ 23%+1,$% /23 0)'$ , * .!. ' ."<!.O ' .O ' . ' ."% 0)% .!. ' ."<!.O ' .O ' . ' ." 2% -,& 3)+%2 D# # $ ))# * !.O ' .O ' . ' ."#") " % # $ ))# * 0 ! "' ) % D! # $ ))# * !.O ' .O ' . ' ."#") " !>
D# 2% D! (23 *'$3%,$%23 -'3+%+Q23"
H, *'$(+%+'$ (2 :,&/21,$ T5"!V $<23% -,3 &=,/+3=2 -')& . > &' -)+3S)2 # $ ))# * 0 ! "' ) ,&
-,& 3)+%2 '$ $2 -2)% -,3 *'$*/)&2 3)& /<)$+*+%= (2 *2 -&'./012" ?% *'112
"# !
%
*+, 8#&9"'
#"9" .P #+&' -,& *'$3=S)2$%a $')3 $2 -')Q'$3 -,3 )%+/+32&
/2 %K='&012 T!"5"EV -')& *'$*/)&2 /<+$(=%2&1+$,%+'$"
-H>
.,;#$+(%' O;,)' &%' (;(%0)'
-H>H-
P;,(5$")*;0 &%' 4,;#$+(%'
A'+% "0)$)"! )$2 3)+%2 ('$$=2 (2 $'1.&23 -'3+%+73a H2 -&'./012 7'&% (23 1'O 12$%3 *'$3+3%2 P %&')Q2& (23 *'$(+%+'$3 3)& /, 3)+%2 "0)$)"! %2//23 S)2 e +/ 2@+3%2 )$2 7'$*%+'$ *&'+33,$%2 .'&$=2 M!/" ,Q2* )$2 +$d$+%= (2 -'+$%3 (2 *&'+33,$*2 3)& )$ +$%2&Q,//2 9 ,Q2* e 0)# ! 2 /).M!/"' O! $ I$ , /23 %&'+3 *,3 3)+Q,$% !I" 0)# "# ! % /).M!/"' O ! $% T>"!V !II" 0)# & ! ' /).M!/"' O ! $' #1# ' #2# , &% T>"5V !III" 0) # "# ! !# /).M!/"' O ! $ % T>">V
!I"A<,--2//2 -&'./012 7'&% (23 1'12$%3 (2 A%+2/%B23" !II"A<,--2//2 -&'./012 7'&% (23 1'12$%3 (2 J,)3('&`" !III"A<,--2//2 -&'./012 7'&% (23 1'12$%3 (2 J,1.)&]2&
-H>H2
F;0&*)*;0' &K50*A*)/ M5 4,;#$+(% O;,)
H, S)23%+'$ S)+ 32 -'32 $,%)&2//212$% 23% (2 3,Q'+& 3+ +/ 2@+3%2 (23 *'$(+%+'$3 321./,./23 ,)@ *'$(+%+'$3 (2 :,&/21,$ 2% 9)*K3 (,$3 /2 *,3 () -&'./012 7,+./2a /, &=-'$32 23% ,;&1,%+Q2 *'112 $')3 ,//'$3 /2 Q'+& (,$3 *2 -,&,]&,-K2"
A'+% "0)$)"! )$2 3)+%2 ('$$=2 (2 $'1.&23 -'3+%+73 2% *'$3+(=&'$3 /2 -&'./012 (2 1'12$%3 ]=$=&,/+3= 3)+Q,$% 0)# "# ! % /6'.M!/"' O ! $ !4%6" ,Q2* !+& 5 L!! , %%% , L!#, L%, L#, %%% , L!' '&"' ( # *' .' 4%%% H2 -&'./012 (2 1'12$% T>"CV 23% (+% &/)%,(*0/ 3+ +/ 2@+3%2 ,) -/)3 )$2 7'$*%+'$ M!/" *&'+33,$%2 .'&$=2 ,Q2* )$2 +$d$+%= (2 -'+$%3 (2 *&'+33,$*2 3)& (&' '&(a %2//2 S)2 T>"CV 23% Q=&+d=2 2% M!&" # &%
A)--'3'$3 S)2 L)"#+ L)> D' O! $' D > & 2% S)2 +L!! # L!' ( # *' .' 4%%% I$ -'32 " 8!G" # !23-!. # %7%6(%(/ # %6(%"" ! " # !23-!6 # %76((/ # 6("" ! " # !!8!G""!"!" # 8!G" ,Q2* 8!G" 23% /, 7'$*%+'$ (=d$+2 (,$3 /2 %K='&012 (2 9)*K3 T!"5">V"
!=/;,+(% -H>H- 8C&! "G&.+" -%" H,%'+&,% '$,&..)%+" *,.&+&9" 9!G" "+ #". ',%.+)%+". *,.&+&9". # "+ 1 +"!!". J-" \ " 8!G" > #! G 9!G"" ' "+ $ O! $ O6# & L)+ L)!# 0 ! !!*'! ) 9!#L)!##" #&' !4%7"
)!,$. !" *$,5!2/" ;P7YA ".+ -%&J-"/"%+ #4+"$/&%47 H, *'$(+%+'$ T>"EV 3<,--2//2 *'$(+%+'$ (2 %F-2 9)*K3"
:'112 *'$3=S)2$*2 (2 *2 %K='&012 '$ , /2 &=3)/%,% 3)+Q,$% e
!=/;,+(% -H>H2 8,&+ "0)$)"! -%" .-&+" #" %,/5$". *,.&+&H.B "+ .,&+ M!/" -%" H,%'+&,% '$,&..)%+" 5,$%4" )9"' -%" &%:%&+4 #" *,&%+. #" '$,&..)%'" .-$ (&' '&( +"!!" J-" 0)# "# ! % /).M!/"' O! $% !E
.& !) ',%#&+&,% #" +1*" 6)$!"/)% .-&9)%+" $ O! $ O6# & * 0 ! "!'! ) #&' !4%="
".+ 94$&:4"B )!,$. !" *$,5!2/" H,$+ #". /,/"%+. ;P7@A ".+ -%&J-"/"%+ #4+"$/&%47 .,%5@%H#/ 3);% (2 *K'+3+& L) # O' 94 * 2% 1 # . (,$3 /2 %K='&012 T!">"!V"
?$ *2 S)+ *'$*2&$2 /2 -&'./012 (23 1'12$%3 (2 J,)3('&` 7'&% T>"5Va +/ 23% %')O B')&3 (=%2&1+$= -)+3S)2 /, *'$(+%+'$ (2 %F-2 :,&/21,$ T>"MV 23% ,)%'1,%+S)212$% &=,/+3=2a 2$ 2`2% $ O! $ O6# & * 0 ! "!'! ) # !# $ !# * 0 ! "!'! ) ' "# $ # * 0 ! "' ) / "# $ # * 0 ! "' ) %
2% *'112 /, (2&$+0&2 3=&+2 23% (+Q2&]2$%2a '$ *'$*/)% ('$* S)2 /2 -&'./012 7'&% (2 J,)3('&` 23% %')B')&3 (=%2&1+$="
6')& /2 -&'./012 7'&% (23 1'12$%3 (2 J,1.)&]2& '$ , /2 %K='&012 3)+Q,$% !=/;,+(% -H>H> 8,&+ "0)$)"! -%" .-&+" #" %,/5$". *,.&+&H.B "+ .,&+ M!/" -%" H,%'+&,% '$,&..)%+" 5,$%4" )9"' -%" &%:%&+4 #" *,&%+. #" '$,&..)%'" .-$ ) +&' '&( +"!!" J-" 0)# "# ! !# /).M!/"' O! $%
.& !) ',%#&+&,% #" +1*" 6)$!"/)% .-&9)%+" $ O! $ O6# & * 0 ! "!'! !) #&
".+ 94$&:4"B )!,$. !" *$,5!2/" H,$+ #" /,/"%+. ;P7PA ".+ -%&J-"/"%+ #4+"$/&%47 .,%5@%HU'+& b!8a -,]2 5Cc
-H8
.;$:0V(%' &% G"5,%0)
?$ !YL8 l+//+,1 X" i'$23a l" i" \K&'$ 2% J,,N'$ l,,(2/,$( '$% -)./+= )$ ,&%+*/2 %&03 +1-'&%,$% +$%+%)/= jA%&'$] A%+2/%B23 k'12$% 6&'./21ja *2%%2 =%)(2 () -&'./012 7'&% (23 1'12$%3 *'$()+% P /<,--,&+%+'$ (23 -'/F$G123 (2 H,)&2$% THO -'/F$G123V b>!ca (2 $'1.&2)@ &=3)/%,%3 Q'$% %&03 Q+%2 32 3)**=(2& 12%%,$% /2 -'+$% 3)& /23 (+`=&2$%3 ,3-2*%3 %K='&+S)23 2% =/,&]+33,$% /23 *K,1-3 (<,--/+*,%+'$ (2 *23 -'/F$G123" M/N0*)*;0 -H8H- ]% *,!1%^/" #" M)-$"%+ ".+ -%" H,%'+&,% #C-%" 9)$&)5!" ',/_ *!"G" & #" !) H,$/" 6:!&" # ) # 3)* L3&3' =' O ! $ )9"' = % OB "+ L3 ! " *,-$ Q # =' %%%' O% I$ $'%2 > /<2$321./2 (23 -'/F$G123 (2 H,)&2$% 2% >*4) &2-&=32$%2 /<2$321./2 (23 -'/F$G123 (2 H,)&2$% *'$%2$)3 (,$3 -:1O"&3 $) 3)*%
D2)@ */,3323 (2 -'/F$G123 (2 H,)&2$% 3'$% -,&%+*)/+0&212$% +1-'&%,$%23 >!)#"6:! >!)4) % /2 *'2;*+2$% (2 &) 23% $'$ $)/$
2%
>!)"##"6:! >!)!#4) % /2 *'2;*+2$% (2 &!)!#23% $'$ $)/$ -')& %')% O ! $"%%
.,;4;'*)*;0 -H8H- E,-$ '()J-" 6: ! >' &! "G&.+" -% "%+&"$ -%&J-" ( ! $"% +"! J-" 6:! >!% .,%5@%HA'+% 6:!&" # ) # 3)* L3&3 ,Q2* L*L)6# &% ('$* #=# % O ') #=# > O% A+ #=# % O ,/'&3 6:! >!) 2% 6:! >R ! -')& ( 6# .O%
A+ #=# > O ,/'&3 6:! >!%*%!# 2% 6:! >R ! -')& ( 6# . #=# + *%
M/N0*)*;0 -H8H2 ]% *,!1%^/" #" M)-$"%+ 6: ".+ #&+ #" .#!%/&" S' .& 6: ! >;' S! $"%%
Z/'&3 S)2 /2 (2]&= (<)$ -'/F$G12 23% /, -/)3 ]&,$(2 -)+33,$*2 (23 1'$G123 &3a *2 $<23% -,3 /2 *,3 -')& /2 HO(2]&= (<)$ -'/F$G12 (2 H,)&2$%" ?$ 7,+%a /2 HO(2]&= (<)$ -'/F$G12 23% /2 (')./2 (2 3'$ (2]&="
H2 *'$*2-% (<'&%K']'$,/+%= 23% +$%&'()+% &2/,%+Q212$% P )$2 7'$*%+'$2//2 /+$=,+&2 2 % > ' "% A'+% "0)$)"!)$2 3)+%2 (2 $'1.&23 *'1-/2@23 2% 3'+% 2 )$2 7'$*%+'$ P Q,/2)&3 *'1-/2@23 (=d$+2 3)& > -,&
2(6:!&") # ) $ 3)* L303' =' O! $ !4
-')& 6:!&" # ) # 3)*
L3&3 (,$3 >% ^'%2& S)2 2(&)) # 0) -')% %')% O ! $%
H, 7'$*%+'$$2//2 2 3<,--2//2 7'$*%+'$$2//2 7'&%2 (2 1'12$%3 (=%2&1+$=2 -,& /, 3)+%2 "0)$)"!%
M/N0*)*;0 -H8H> ]%" .-&+" "6)!&"$#))% ".+ #&+" 8-&+" #" *,!1%^/". #" M)-$"%+ ,$+(,3,%)-G ',$$".*,%#)%+ ` !) H,%'+&,%%"!!" 2 .& 6!!&"! >! *,-$ '()J-" ( ! $"% "+ 2(6*!&"6)!&") #5)"*4)' =' O! $"%B )9"' 5) 6# & *,-$ +,-+ O ! $"% "+ "*4) !" .1/5,!" #" Z$,%"'a"$7
8& 5)# * *,-$ +,-+ O! $"%' "6)!&"$#))%".+ -%" .-&+" #" *,!1%^/". #" M)-$"%+ ,$+(,%,$/)-G ',$$".*,%#)%+ ` !) H,%'+&,%"!!" 2%
6')& -/)3 (2 (=%,+/3 3)& /, %K='&+2 (23 -'/F$G123 (2 H,)&2$% *'$3)/%2& b>!ca b>Cc 2% bECc"
-HU
34/,")%5,' &K%'4"A%' &% 6*$#%,) %) A$"''%' &%
9A="))%0
-HUH-
34/,")%5,' "&T;*0)' %) )=/;,+(% '4%A),"$
A'+% * )$ 23-,*2 (2 J+/.2&%a '$ $'%2 )%' %*< /2 -&'()+% 3*,/,+&2 (2 * 2% 0%0< /, $'&12 ,33'*+=2" I$ $'%2 ,)33+ !T' U?=!T "" %')% '-=&,%2)& (2 * (,$3 V' 'f U?=!T " (=3+]$2 /2 ('1,+$2 (2 T' (,$3 /2 *,3 'f U?=!T " 23% /<23-,*2 (2 J+/.2&% * %')% 2$%+2&a '$ *'$Q+2$% (2 $2 -,3 3-=*+d2& /2 U?=!T "%
D2 -/)3a 3+ U?=!T " 23% )$ 3')3O23-,*2 (2$32 (,$3 * 2% 3+ T 23% .'&$= 3)& U?=!T "-')& /, $'&12 +$()+%2 -,& *2//2 (2 *' ,/'&3 +/ 2@+3%2 )$2 )$+S)2 ,--/+*,%+'$ /+$=,+&2 *'$%+$)2 (2 * (,$3 V S)+ -&'/'$]2 T% I$ (=3+]$2&, (2 $')Q2,) -,& T *2 -&'/'$]212$% *'$%+$)"
A'+2$% * 2% V (2)@ 23-,*23 (2 J+/.2&% 2% !T' U?=!T "" )$ '-=&,%2)& (2 * (,$3 V %2/ S)2 U?=!T " 23% )$ 3')3O23-,*2 (2$32 (,$3 *" I$ *'$3+(0&2 /<2$321./2 (23 -'+$%3 W ! V %2/3 S)2 /, 7'&12 /+$=,+&2 N ' )T N' W*=23% *'$%+$)2 3)& U?=!T " -,& /, $'&12 +$()+%2 -,& *2//2 (2 *% 6,& (2$3+%= (2 U?=!T " (,$3 *a +/ Q+2$% S)2 -')& )$ %2/ -'+$% Wa *2%%2 7'&12 /+$=,+&2 32 -&'/'$]2 -,& *'$%+$)+%= P /<23-,*2 * %')% 2$%+2&" 6,& *'$3=S)2$%a (<,-&03 /2 %K='&012 (2 &2-&=32$%,%+'$ (2 W+23Ra +/ 2@+3%2 )$ )$+S)2 =/=12$% (2 *a $'%= T)Wa (=%2&1+$= -,& /<=],/+%= 3)+Q,$%2 e
)T N' W*=#)N' T)W*< -')& %')% N ! U?=!T "% *2 S)+ *'$()+% P /, (=d$+%+'$ 3)+Q,$%2 e
M/N0*)*;0 -HUH- 8,&"%+ * "+ V #"-G ".*)'". #" W&!5"$+ "+ .,&+ !T' U?=!T "" -% ,*4$)+"-$ #" * #)%. V +"! J-" U?=!T " ".+ -% .,-._".*)'" #"%." #)%. *%
R% *,."
U?=!T)" %#"W ! V +"! J-" N ' )T N' W*= ".+ 5,$%4 #" !U?=!T "' 0%0<" #)%. "$% R% )**"!!" ,*4$)+"-$ )#V,&%+ #" T !C,*4$)+"-$ T)% U?=!T)"' * #4:%& *)$ \
)T N' W*=#)N' T)W*< *,-$ +,-+ N ! U?=!T " "+ +,-+ W ! U?=!T)"%
A+ T 23% )$ '-=&,%2)& /+$=,+&2 .'&$= (2 * (,$3 Va ,/'&3 T), -')& ('1,+$2 V 2% T) 23% =],/212$% .'&$="
D=3'&1,+3a $')3 *'$3+(=&'$3 /23 '-=&,%2)&3 ('$% /2 ('1,+$2 23% /<23-,*2 (2 J+/.2&% (2 (=-,&% %')% 2$%+2& 2% $')3 ,//'$3 $')3 +$%=&2332& -/)3 -,&%+*)/+0&212$% ,)@ '-=&,%2)&3 ,(B'+$%3 (<'-=&,%2)&3 .'&$=3 2% ,)@ '-=&,%2)&3 ,)%'O,(B'+$%3"
6')& (2)@ 23-,*23 (2 J+/.2&% * 2% Va '$ (=3+]$2 -,& 2!*' V" /<23-,*2 (23 '-=&,%2)&3 .'&$=3 (2 * (,$3 V% I$ 1)$+% *2% 23-,*2 (2 /, $'&12 )3)2//2 0%0a (=d$+2 -,& e
0T 0 # +,->"<4 *>*+)#
0T !N"0=
-')& %')% '-=&,%2)& T ,--,&%2$,$% P 2!*' V"%
.,;4;'*)*;0 -HUH- 8,&"%+ * "+ V #"-G ".*)'". #" W&!5"$+ "+ T -% ,*4$)+"-$ #" * #)%. V% MC,*4$)+"-$ T ".+ 5,$%4 .& ."-!"/"%+ .& .,% ,*4$)+"-$ )#V,&%+ T) ".+ 5,$%47 b" *!-.B .& T ".+ 5,$%4B ,% ) 0T 0 # 0T)0 %
.,;4;'*)*;0 -HUH2 8,&"%+ * "+ V #"-G ".*)'". #" W&!5"$+ "+ T -% ,*4$)+"-$ #" * #)%. V7 MC,*4$)+"-$ T ".+ 5,$%4 .& ."-!"/"%+ .& !C,*4$)+"-$ T)T ".+ 5,$%47 b" *!-.B .& T ".+ 5,$%4B ,% ) 0T 0!#0T)T0 %
k,+$%2$,$% '$ Q, 3<+$%=&2332& ,)@ '-=&,%2)&3 ,)%'O,(B'+$%3"
A'+% * )$ 23-,*2 (2 J+/.2&%a '$ (+% S)<)$ '-=&,%2)& T (2 * (,$3 * 23% ,)%'O ,(B'+$% 3+ T # T)%
6,& 2@21-/2a 3+ * 2% V 3'$% (2)@ 23-,*23 (2 J+/.2&% 2% 3+ T )$ '-=&,%2)& .'&$= (2 * (,$3 Va ,/'&3 /<'-=&,%2)& T)T 23% )$ '-=&,%2)& ,)%'O,(B'+$%"
g$ ,)%&2 2@21-/2 +1-'&%,$% (<'-=&,%2)&3 ,)%'O,(B'+$%3 23% /2 3)+Q,$% e .,;4;'*)*;0 -HUH> 8,&+ * -% ".*)'" #" W&!5"$+B .& T ".+ -% ,*4$)+"-$ *,.&+&H #" * #)%. * ;&7" )T N' N*< / & *,-$ +,-+ N ! *AB )!,$. T ".+ -% ,*4$)+"-$ )-+,_)#V,&%+7
A+ T 23% ,)%'O,(B'+$% 3)& *a +/ 23% 7,*+/2 (2 Q'+& S)2 )T N' N*< 23% &=2/ -')& %')% N! *% (2 -/)3a '$ , e
.,;4;'*)*;0 -HUH8 8& T ".+ -% ,*4$)+"-$ )-+,_)#V,&%+ .-$ -% ".*)'" #" W&!5"$+ *B )!,$.
0T 0 # +,-"#)T N' N*<# % 0N0< # *$%
D=d$+33'$3 1,+$%2$,$% /2 3-2*%&2 (<)$ '-=&,%2)& .'&$=" A'+% * )$ 23-,*2 (2 J+/.2&% 2% 3'+% T ! 2!*' *"% H2 3-2*%&2 (2 /<'-=&,%2)& T a $'%= J!T "a 23% /2 3')3O 2$321./2 (23 $'1.&23 *'1-/2@23 3)+Q,$% e
J!T " #"L ! " % L9 + T $<23% -,3 +$Q2&3+./2$ 'f 9 23% /<'-=&,%2)& +(2$%+%= 3)& *%
H, *'$$,+33,$*2 () 3-2*%&2 (<)$ '-=&,%2)& T 7')&$+% .2,)*')- (<+$7'&1,%+'$3a /2 3-2*%&2 23% 1+2)@ *'1-&+3 (,$3 /2 *,3 'f T 23% )$ '-=&,%2)& ,)%'O,(B'+$%" !=/;,+(% -HUH- 8,&+ * -% ".*)'" #" W&!5"$+7 8-**,.,%. J-" T .,&+ -% ,*4$)+"-$ )-+,_)#V,&%+ .-$ *% E,-$ +,-+" H,%'+&,% ) ',%+&%-" .-$ J!T "B &! "G&.+" -% -%&J-" ,*4$)+"-$ ) !T " .-$ *B .)+&.H)&.)%+ !) ',%#&+&,% .-&9)%+" \
J!) !T "" # ) !J!T ""% #" *!-.B ,% ) !". *$,*$&4+4. .-&9)%+". \
&A MC)**!&')+&,% ) ' )!T " ".+ !&%4)&$"7 &&A 8& ) !&" # &)B )!,$. ) !T " # T)%
:2 %K='&012 23% -,&7'+3 ,--2/= )=/;,+(% '4%A),"$ -')& /23 '-=&,%2)&3 ,)%'O ,(B'+$%3"
g$2 (23 $'1.&2)323 *'$3=S)2$*23 (2 *2 %K='&012 23% S)2a 3+ T 23% )$ '-=&,%2)& ,)%'O,(B'+$%a ,/'&3 J!T " 23% *'$3%+%)= (2 $'1.&23 &=2/3a 2% 3+ (2 -/)3 T 23% -'3+%+7a ,/'&3 J!T " 23% *'$3%+%)= (2 $'1.&23 -'3+%+73 ') $)/3"
6')& %2&1+$2& *2 -,&,]&,-K2a *+%'$3 )$ %K='&012 3)& /, (=*'1-'3+%+'$ 3-2*%&,/2 (23 '-=&,%2)&3 ,)%'O,(B'+$%3"
!=/;,+(% -HUH2 8,&+ * -% ".*)'" #" W&!5"$+7 8-**,.,%. J-" T ".+ -% ,*4$)_ +"-$ )-+,_)#V,&%+ .-$ *% U!,$. *,-$ +,-+ %,/5$" $4"! /B &! "G&.+" -%" *$,V"'+&,% X( .)+&.H)&.)%+ !". ',%#&+&,%. .-&9)%+". \
&A 8& / % -B X(% X#;'C".+_`_#&$" !C&/)3" #" X( ".+ ',%+"%-" #)%. '"!!" #" X#A c &&A X( # & *,-$ +,-+ / ,+ 0T 0+&<4<' "+ X( # 9 *,-$ +,-+ / >0T 0+&<4<'? &&&A T # '"#
!# /.X(B )- ."%. #" !) ',%9"$3"%'" "% %,$/" #". .,//". #" d&"_ /)%% c
&9A 8& ) ".+ -%" H,%'+&,% ',%+&%-" .-$ !" .*"'+$" J!T " #" T B )!,$. ) !T " # '"#
!# ) !/".X(%
H<,--/+*,%+'$ X 23% /, 123)&2 3-2*%&,/2 (2 /<'-=&,%2)& T% :'112 *'&'//,+&2 (2 *2 %K='&012 '$ , e
F;,;$$"*,% -HUH- 8,&+ * -% ".*)'" #" W&!5"$+7 8-**,.,%. J-" T ".+ -% ,*4$)+"-$ )-+,_)#V,&%+ .-$ * "+ %,+,%. X .) /".-$" .*"'+$)!"7 E,-$ +,-+ : / *' ,% ) \ )T$N' N*< # ! "# !# /$.)X(N' N*< *,-$ +,-+ N ! *%
-HUH2
34/,")%5,' A;(4"A)'
A'+2$% !X' 0%0?" 2% !Y' 0%01" (2)@ 23-,*23 Q2*%'&+2/3 $'&1=3" I$ $'%2 7? /, .')/2 )$+%= 72&1=2 (2 Xa *<23%OPO(+&2 7? #"N ! X % 0N0? % *$%
g$ '-=&,%2)& /+$=,+&2 T (2 X (,$3 Y 23% )$ '-=&,%2)& *'1-,*% 3+ T !7?" 23% &2/,%+Q212$% *'1-,*% (,$3 Y%
g$ '-=&,%2)& *'1-,*% 23% .'&$= 2% '$ -2)% *+%2& *'112 2@21-/2 (<'-=&,%2)&3 *'1-,*%3 /23 '-=&,%2)&3 (2 &,$] d$+"
I$ 32 -/,*2 1,+$%2$,$% (,$3 /2 *,(&2 (23 23-,*23 (2 J+/.2&%" H, -&'-'3+%+'$ 3)+Q,$%2 &2/+2 /, *'1-,*+%= (<)$ '-=&,%2)& T P *2//2 (2 /<'-=&,%2)& T)T%
.,;4;'*)*;0 -HUHU 8,&"%+ * "+ V #"-G ".*)'". #" W&!5"$+ "+ .,&+ T -% ,*4$)+"-$ 5,$%4 #" * #)%. V% !C,*4$)+"-$ T ".+ ',/*)'+ .& "+ ."-!"/"%+ .& !C,*4$)+"-$ T)T ".+ ',/*)'+7
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
F;,;$$"*,% -HUH2 8,&"%+ * "+ V #"-G ".*)'". #" W&!5"$+ "+ .,&+ T -% ,*4$)+"-$ ',/*)'+ #" * #)%. VB )!,$. &! "G&.+" -%" .-&+" #4'$,&..)%+" #" %,/5$". $4"!. *,.&+&H. "-)!T "$)"" +"%#)%+ 9"$. &B -%" .-&+" ,$+(,%,$/)!" ";)$)"" #C4!4/"%+. #" * "+ -%" .-&+" "))$)"" #C4!4/"%+. #" VB +"!!". J-" \ T N #$ )"" -)!T ")N' ;)*<)) *,-$ +,-+ N ! *% 5!
H, (=*'1-'3+%+'$ *+O(233)3 23% ,--2/=2 (=*'1-'3+%+'$ (2 A*K1+(% (2 /<'-=&,O %2)& T% 6/)3 -&=*+3=12$%a '$ , e -)!T " # (L)!T)T ") ! " -')& %')% O ! !%
,+$3+a /, 3)+%2 "-)!T "$)"" (,$3 %')%2 (=*'1-'3+%+'$ (2 A*K1+(% (<)$ '-=&,%2)& *'1-,*% T 23% )$+S)2"
6')& %2&1+$2&a $')3 ('$$'$3 )$2 *,&,*%=&+3,%+'$ (2 /, *'1-,*+%= 3-=*+dS)2 ,)@ '-=&,%2)&3 ,)%'O,(B'+$%3"
.,;4;'*)*;0 -HUHB 8,&"%+ * -% ".*)'" #" W&!5"$+ "+ T -% ,*4$)+"-$ )-+,_)#V,&%+ .-$ *% M". *$,*$&4+4. .-&9)%+". .,%+ 4J-&9)!"%+". \
&A T ".+ ',/*)'+7
&&A E,-$ +,-+" .-&+" ,$+(,%,$/)!" ";)$)"" #" 9"'+"-$. #)%. *B ,% ) /01
)$"#)T ;)' ;)*< # &
&&&A E,-$ +,-+ Z > &B &! "G&.+" -%" *$,V"'+&,% ,$+(,3,%)!" 6 Z ! 2!*' *" #" ',#&/"%.&,% :%&"B +"!!" J-" 06 ZT 6 Z0 % Z%
.,%5@%HA2 &=7=&2& P bMCc"
-HUH>
F$"''%' &% 9A="))%0
D,$3 *2 -,&,]&,-K2 $')3 ,//'$3 $')3 +$%=&2332& ,) *'1-'&%212$% ,3F1-%'%+S)2 (23 Q,/2)&3 3+$])/+0&23 (<)$ '-=&,%2)& *'1-,*% 2% ,)@ */,3323 (2 A*K,%%2$"
M/N0*)*;0 -HUH2 8,&"%+ * "+ V #"-G ".*)'". #" W&!5"$+ "+ .,&+ T -% ,*4$)+"-$ ',/*)'+ #" * #)%. V7 M) .-&+" "-)!T "$)"" #)%. +,-+" #4',/*,.&+&,% #" 8'(/&#+ #C-% ,*4$)+"-$ T ".+ )**"!4" .-&+" #". 9)!"-$. .&%3-!&2$". )..,'&4" ` T 7 E!-. *$4_ '&.4/"%+B *,-$ O ! !B -)!T " ".+ )**"!4" !) O@*@- 9)!"-$ .&%3-!&2$" #" !C,*4$)+"-$ T7
.,;4;'*)*;0 -HUH1 8,&"%+ * "+ V #"-G ".*)'". #" W&!5"$+7 E,-$ -% ,*4$)+"-$ ',/*)'+ T #" * #)%. VB ,% ) \
&A -%!T " #0T 0 ?
&&A -)!LT " ##L# -)!T " *,-$ +,-+ O! ! "+ +,-+ L ! "% .,%5@%HA2 &=7=&2& P bCCc"
H<+$%2&-&=%,%+'$ ]='1=%&+S)2 (23 Q,/2)&3 3+$])/+0&23 23% S)2 /, O-@*@ Q,/2)& 3+$O ])/+0&2 (<)$ '-=&,%2)& *'1-,*% T *'&&23-'$( P /, (+3%,$*2 (2 T P /<23-,*2 (23 '-=&,%2)&3 (2 &,$] +$7=&+2)& ') =],/ P O" :2%%2 -&'-&+=%= 23% 3')Q2$% )%+/+3= -')& 23%+12& /23 Q,/2)&3 3+$])/+0&23"
6/)3 -&=*+3212$% '$ , /, -&'-'3+%+'$ 3)+Q,$%2 e
.,;4;'*)*;0 -HUHW 8,&"%+ * "+ V #"-G ".*)'". #" W&!5"$+ "+ .,&+ T -% ,*4$)+"-$ ',/*)'+ #" * #)%. V7 R% )B *,-$ +,-+ O ! ! -)!T " # 0@A 2!*' V" G1O4!#"% O 0T + #0 :2 S)+ *'$()+% P /, -2'-'3+%+'$ 3)+Q,$%2 e
.,;4;'*)*;0 -HUHX 8,&"%+ * "+ V #"-G ".*)'". #" W&!5"$+ "+ .,&"%+ T# "+ T!#"-G ,*4$)+"-$. ',/*)'+. #" * #)%. V7 U!,$. *,-$ +,-. =#' =! #)%. !B ,% ) \
-*!"*"!T#' T!"% -*!!T#" ' -*"!T!"%
k,+$%2$,$%a $')3 $')3 +$%=&233'$3 ,)@ */,3323 (2 A*K,%%2$ 2% P /2)&3 -&'-&+=%=3" M/N0*)*;0 -HUH> 8,&"%+ * "+ V #"-G ".*)'". #" W&!5"$+ "+ .,&+ & , : , &% R% #4:%&+ !) :-@*@ '!).." #" 8'()++"% #" * #)%. VB %,+4" -$!*' V"B ',//" 4+)%+ !C"%."/5!" #" +,-. !". ,*4$)+"-$. ',/*)'+. T #" * #)%. V +"!. J-" !) .-&+" #". 9)!"-$. .&%3-!&2$". #" T B "-)!T "$)"" 94$&:" \ 0T 0'$&<4='%# ! $ )"" (-)!T ")$" ! $ , '&%
Z)%&212$% (+%a -')& : > &a )$ '-=&,%2)& *'1-,*% T (2 * (,$3 V ,--,&%+2$% P /, */,332 (2 A*K,%%2$ -$!*' V" 3+ 2% 32)/212$% 3+ /, 3)+%2 "-)!T "$)"" 23% :O 3'11,./2"
6,& 2@21-/2a /23 '-=&,%2)&3 (2 &,$] d$+ ,--,&%+2$$2$% P /, :-@*@*/,332 (2 A*K,%O %2$ -$a -')& %')% : > &%
g3)2//212$%a /, */,332 -# 23% ,--2/=2 */,332 (23 '-=&,%2)&3 P %&,*2" 6/)3 -&=*+O 3=12$%a 3+ T ! -#a ,/'&3 /, %&,*2 (2 T a $'%=2 /G!T "a 23% (=d$+2 -,& e
/G!T " %#0T 0'! #$ )""
-)!T "%
(2 1h12a /, */,332 -! 23% ,--2/=2 */,332 (23 '-=&,%2)&3 (2 J+/.2&%OA*K/+(%"
H23 Q,/2)&3 3+$])/+0&23 =%,$% 3')Q2$% (+;*+/23 P (=%2&1+$2&a $')3 *K2&*K'$3 (=3'&1,+3 P *,&,*%=&+32& /23 =/=12$%3 (23 */,3323 (2 A*K,%%2$ 3)+Q,$% /2)& ,*%+'$ 3)& (23 .,323 '&%K'$'&1,/23"
!=/;,+(% -HUH8 8,&+ * -% ".*)'" #" W&!5"$+7 8& T ".+ -% ,*4$)+"-$ ',/*)'+ *,.&+&H #" * #)%. *B )!,$. \ $ )"" -)!T " # $ )"" )T ;)' ;)*< *,-$ +,-+" 5)." ,$+(,%,$/)!" ";)$)"" #" *% 5>
6,& *'$3=S)2$%a 3+ T 23% )$ '-=&,%2)& *'1-,*% -'3+%+7 3)& *a ,/'&3 T ,--,&%+2$% P -##!*' *"3+ 32)/212$% 3<+/ 2@+3%2 )$2 .,32 '&%K'$'&1,/2 ";)$)"" (2 * %2//2 S)2 )"")T ;
)' ;)*< ,&%
H2 %K='&012 3)+Q,$%a S)+ (=*')/2 () %K='&012 -&=*0(2$%a $')3 -2&12% (2 (=d$+& ,)%&212$% /, %&,*2 (<)$ '-=&,%2)& ,--,&%2$,$% P /, */,332 -#%
!=/;,+(% -HUHU# 8,&+ * -% ".*)'" #" W&!5"$+7 8& T ! -#!*' *"B )!,$. !) .4$&" )"")T ;
)' ;)*< ',%9"$3" )5.,!-/"%+ *,-$ +,-+" 5)." ,$+(,%,$/)!" ";)$)"" #" *% b" *!-.B !) .,//" ".+ &%#4*"%#)%+" #- '(,&G #" !) 5)." ,$+(,%,$/)!" "+ ".+ 43)!" ` !) +$)'" #" T%
k,+$%2$,$%a -')& &,12$2& /<=%)(2 (2 /<,--,&%2$,$*2 (<)$ '-=&,%2)& *'1-,*% -'3+%+7 T P )$2 */,332 (2 A*K,%%2$ -$a 'f : > &a P *2//2 (2 /<,--,&%2$,$*2 (2 /<'-=&,%2)& T$
P /, */,332 (2 A*K,%%2$ -#a $')3 ,Q'$3 /2 &=3)/%,% 3)+Q,$% e
!=/;,+(% -HUHB 8,&+ * -% ".*)'" #" W&!5"$+ "+ .,&+ : > &% 8& T ".+ -% ,*4$)+"-$ ',/*)'+ *,.&+&H #" * #)%. *B )!,$. T ! -$!*' *"%
b" *!-.B ,% )
0T 0$'$&<4<'#0T
$
0'!&<4<'%
H<+$%=&h% (2 *2 &=3)/%,% 23% S)2 /<,--,&%2$,$*2 (<)$ '-=&,%2)& P /, */,332 (23 '-=&,%2)&3 P %&,*2 23% %'%,/212$% *,&,*%=&+3=2 -,& 3'$ ,*%+'$ 3)& /23 .,323 '%K'O $'&1,/23"
D2 1h12a /2 %K='&012 3)+Q,$% &,10$2 /<=%)(2 (2 /<,--,&%2$,$*2 (<)$ '-=&,%2)& T P )$2 */,332 (2 A*K,%%2$ -$a 'f : / *a P *2//2 (2 /<,--,&%2$,$*2 (2 /<'-=&,%2)& !T)T "$" P /, */,332 (2 A*K,%%2$ -#%
!=/;,+(% -HUH1 8,&"%+ * "+ V #"-G ".*)'". #" W&!5"$+ "+ .,&+ * % : , &% 8& T ".+ -% ,*4$)+"-$ ',/*)'+ #" * #)%. VB )!,$. T ! -$!*' V" .& ."-!"/"%+ .& !T)T "$" ! -#!*' *"% b" *!-.B .& T! -$!*' V"B ,% ) \ 0T 0$'$&<4='# % % %!T)T "$" % % % '!&<4<' %
F;,;$$"*,% -HUH> 8,&"%+ * "+ V #"-G ".*)'". #" W&!5"$+ "+ .,&+ * % : , &% 8-**,.,%. J-" T .,&+ -% ,*4$)+"-$ ',/*)'+ #" * #)%. V7 U!,$. T ! -$!*' V" .& ."-!"/"%+ .& # )"")!T )T "$";)' ;)*< , & *,-$ +,-+" 5)." ,$+(,%,$/)!" ";)$ )"" #" *7 b" *!-.B .& T ! -$!*' V"B ,% ) \ 0T 0$'$&<4='# $ )"" )!T)T "$"; )' ;)*<% *,-$ +,-+" 5)." ,$+(,%,$/)!" ";)$)"" #" *7 5C
:2 S)+ Q2)% (+&2 S)2a -')& : / *a /<,--,&%2$,$*2 (<)$ '-=&,%2)& T P /, */,332 (2 A*K,%%2$ -$ 23% %'%,/212$% *,&,*%=&+3=2 -,& /<,*%+'$ (2 !T)T "
$
" 3)& /23 .,323
'&%K'$'&1,/23"
6')& Q'+& (<,)%&23 -&'-&+=%=3 (23 */,3323 (2 A*K,%%2$a $')3 ,//'$3 =%)(+2& /, 3%&)*%)&2 %'-'/']+S)2 (2 *23 */,3323" ^')3 ,//'$3 Q'+& S)2 /23 3%&)*%)&23 (+`0&2$% 2$%&2 /23 (2)@ *,3 : / * 2% & , : , *%
!=/;,+(% -HUHW 8,&"%+ * "+ V #"-G ".*)'". #" W&!5"$+ "+ .,&+ : / *% MC".*)'" !-$!*' V"'0%0'$&<4='" ".+ -% ".*)'" #" N)%)'(7
#/ 23% =Q+(2$% S)2 0%0'$&<4='$<23% -,3 )$2 $'&12 3)& -$!*' V"/'&3S)2 & , : , *%
^=,$1'+$3a -')& & , : , *a /<23-,*2 -$!*' V"23% )$ 23-,*2 1=%&+S)2 *'1-/2%a S)+ -'330(2 )$2 ,)%&2 3%&)*%)&2 S)2 *2//2 (<)$ 23-,*2 $'&1=a P 3,Q'+& )$2 3%&)*%)&2 (<23-,*2 S),3+OX,$,*K"
M/N0*)*;0 -HUH8 8,&+ H -% ".*)'" 9"'+,$&"! ',/*!"G"7 ]%" )**!&')+&,% # #" H #)%. %" ".+ )**"!4" J-).&_%,$/" .& !". ',%#&+&,%. .-&9)%+". .,%+ .)+&.H)&+". \
&A #!N" # & &/*!&J-" J-" N # & *,-$ +,-+ N ! H% &&A #!MN" # #M# #!N" *,-$ +,-+ M ! " "+ +,-+ N ! H%
&&&A e! "G&.+" -%" ',%.+)%+" D > & +"!!" J-" #!N#' N!"% D!#!N#" ' #!N!"" *,-$ +,-. N#BN!! H%
?$ ')%&2a '$ (+&, S)2 # 23% )$2 :+$'&12a -')& & , : % *a 3+ '$ , (2 -/)3 e (#!N#' N!")$% (#!N#")$' (#!N!")$ -')& %')3 N#' N!! H%
X+2$ 3)&a 3+ : # *a ,/'&3 # 23% )$2 $'&12"
M/N0*)*;0 -HUHU 8,&+ H -% ".*)'" 9"'+,$&"! ',/*!"G" /-%& #C-%" J-).&_%,$/" #7 8& # #4:%&+ .-$ H -%" +,*,!,3&" /4+$&.)5!" ',/*!2+"B )!,$. ,% #&$) J-" H ".+ -% ".*)'" J-).&_N)%)'(7 8& #" *!-. # ".+ -%" :+%,$/"B *,-$ & , : % *B ,% #&$) J-" H ".+ -% ".*)'" J-).&_N)%)'( :+%,$/47
!=/;,+(% -HUHX 8,&"%+ * "+ V #"-G ".*)'". #" W&!5"$+ "+ .,&+ & , : , *% MC"._ *)'" !-$!*' V"'0%0'$&<4='" ".+ -% ".*)'" J-).&_N)%)'( :+%,$/47
.,%5@%HA2 &=7=&2& P bEEc 2% b4>c"
-HB
34/,")%5,' &% 6"07%$
-HBH-
?0),;&5A)*;0
D,$3 *2%%2 32*%+'$ $')3 ,//'$3 7,+&2 )$2 2@*)&3+'$ 3)& /, %K='&+2 (23 '-=&,%2)&3 (2 J,$N2/a *2%%2 %K='&+2 *'$3%+%)2 )$ ('1,+$2 &+*K2 2% %&03 +1-'&%,$% 2$ ,$,/F32 ,Q2* )$ /,&]2 *K,1- (<,--/+*,%+'$3"
J,$N2/ T!YLMV , *'112$*= /<=%)(2 (23 1,%&+*23 d$+23 ('$% /23 2$%&=23 (=O -2$(2$% )$+S)212$% (2 /, 3'112 (23 *'&('$$=23a (2 %2//23 1,%&+*23 '$% =%= ,--2O /=23 ("),*A%' &% 6"07%$H :23 1,%&+*23 '$% )$ &G/2 %&03 +1-'&%,$% (,$3 -/)3+2)&3 -&'./0123 */,33+S)23 (<,$,/F32a -,&%+*)/+0&212$% (,$3 /23 -&'./0123 (23 1'12$%3a P %+%&2 (<2@21-/2a /2 -&'./012 (2 1'12$%3 (2 J,1.)&]2& 23% &=3'/) 3+ 2% 32)/212$% 3+ /, 1,%&+*2 (2 J,$N2/ *'&&23-'$(,$%2 23% -'3+%+Q2 321+O(=d$+2 TJ,1.)&]2& !Y58 bCEcV"
D2-)+3 /23 %&,Q,)@ (2 ^2K,&+ T!YE4 bMEcV 2% J,&%1,$ T!YEL bCMcV /23 '-=&,%2)&3 (2 J,$N2/ '$% '**)-= )$2 -/,*2 %&03 +1-'&%,$%2 (,$3 /, %K='&+2 (23 7'$*%+'$3" ZQ2* /23 '-=&,%2)&3 (2 \'2-/+%R +/3 7'&12$% 1,+$%2$,$% /23 -/)3 +1-'&%,$%23 */,3323 (<'-=&,%2)&3"
H, %K='&+2 (23 '-=&,%2)&3 (2 J,$N2/ 3<23% %&03 &,-+(212$% (=Q2/'--=2 (,$3 /23 (2&$+0&23 ,$$=23 2$ &2/,%+'$ ,Q2* -/)3+2)&3 ('1,+$23 (2 1,%K=1,%+S)23 e -&'O ./0123 (<+$%2&-'/,%+'$ TZ(,1F,$ 2% ,/" b5ca b>cV m /<,--&'@+1,%+'$ &,%+'$$2//2 b62//2& bMYcV m 6&'*233)3 3%,%+'$$,+&23 T62//2& 2% nK&)3K*KoQ b48cV m H, %K='&+2 (2 -2&%)&O .,%+'$ T62//2& b45cV m H, 7'$*%+'$ 1'(0/2 (2 AR"O^,]FO9'+,3 T^'N'/3N++ bMMcV" D,$3 /23 ,$$=23 !YL8 /, %K='&+2 (23 '-=&,%2)&3 (2 J,$N2/ Q, ,Q,$*2& 2$*'&2 -/)3 -,& /2 (=Q2/'--212$% (2 /, %K='&+2 (2 *'$%&G/2 2% /, %K='&+2 (23 3F3%0123 3)& *# T[/'Q2& bC>c m 9&,$*+3 bC8cV"
H2 (=Q2/'--212$% (2 /, %K='&+2 (23 '-=&,%2)&3 (2 J,$N2/ P =],/212$% *'$()+% P (23 (+`=&2$%23 ]=$=&,/+3,%+'$3 () *'$*2-% '&+]+$,/" 6/)3+2)&3 -&']&03 Q'$% h%&2 &=,/+3=3 (,$3 /<=%)(2 (23 '-=&,%2)&3 (2 J,$N2/ (,$3 /<23-,*2 (2 X2&]1,$ 3)& /2 (+3S)2a /23 23-,*23 (2 %F-2 D+&+*K/2%a /23 23-,*23 (2 X2&]1,$ 2% /23 23-,*23 (2 J,&(F 3)& /, .')/2 )$+%= (2 ")"
-HBH2
34/,")%5,' &% 6"07%$ &% ':(#;$% "0)*<=;$;(;,4=%
D,$3 *2%%2 -,&%+2a /2 -&'./012 23% (<=%,./+& /2 /+2$ 2$%&2 /23 -&'-&+=%=3 (<)$2 7'$*%+'$ K'/'1'&-K2 8 2% /23 -&'-&+=%=3 3-2*%&,/23 (2 /<'-=&,%2)& (2 J,$N2/ (2 3F1.'/2 8%I$ (=3+]$2 -,& 3!![U"/<23-,*2 (23 7'$*%+'$3 (2 *,&&= +$%=]&,./2 -,& &,--'&% P /, 123)&2 (2 /'$])2)& (<,&* 3)& /2 *2&*/2 )$+%= [U (2 "" I$ $'%2 *!!U"/<23-,*2 (2 J,&(F *'$3%+%)= (23 7'$*%+'$3 (,$3 3!![U" %2//23 S)2 /2)&3 *'2;*+2$%3 (2 9')&+2& (<+$(+*2 3%&+*%212$% $=],%+7 3'+2$% $)/3" 6')& ) ! *!!U"a /<'-=&,%2)& (2 J,$N2/