!#"$%
&'( )*+
,!-./'"0'
13E!25F747GI69HK8,JM:+LON,;
JQ<>PR=>?@LS?5ABJMTU:DF7C VWHKJMXZY\[^]\_`FWaWbOLD[,Gc[@d,Y
F'egfihjJMGck$lnmpo3qsr,tugvxwByszOzB{Bt`|j}O~smuqSw
![8jN,25J925h<_`<>F7OGcFWUaW8B[j:pf47: f(sLSJ9a@h,XZJ9[,LpH
F'egfihjJMGckprnmOmxwRugxwUOsrBt`oBt`|jtsmDRutp{nSw,ru5B{
25*§p4i47?^¨25U©``sª,Z 2@58,<>:4B«ABWs§p4754`?52@45`?^4¢'525 Op<>@:p4¡*<>¡B?48:p47¢7WAB8,¬=pp`@45?@D?^An4?5425`@8j<c4n2@¦8`?^?525<c@:``¡®¢K2@¤DpA,@4!25§¯6£An=cQ4 B¤p4<c=:S8B8,:`@¥°p`8j8,2W258p§ ¦
25¬¢'@AB47As¬4Bs¦`p4¤p@54:¯s?@2
?5=><c8B2@An§p:p:4Q¡B«S4'8,´s¡B§pD4\44¢K47¬2@:O44 O+¬<c@8UABAn n:p547.¬W8,`4¡B:n?@4µ8,2W¡B?s4±47¶$p<²<c?2525§+§¸?5<c¬<²4'?
¹*<>?^=>8B¬i¢'$<>478B25:3=cA=>2472@¬§`«8j4¬2³§pA,AB46@¨R8©8B¤`ª=c8,=>As=²258,¢7@:S8,<c4±¢'254<>AB<²?$:º¶·¤p8B<>4:`:`=c=R8B»5?^p¡3<c8,?^25@44¤`8,.8,W¢W¡n25§A 4
¢'8,AB:`=>¯=>4¢K?^2@§p<cAjAn¶:« 2@§` 8j4*2p25§p@44?547?^:325@2!`8,¢K2@:p5<>¬4p¢'=cAn4¬¬`478,:3@2@48,?25<>69AB8U: BAB<c:W8,2@¤`§p=c®4\25¼3A8U U8¥8¤`p8B@=>AB8B¡n:`@¢'8B4¬°¬¤p<><>:p:`¡8,@=>°8B:p?^¡B4S8,8,W¢W¡B§ 4
25@474B«
½+p8j¾n2W¿Á8°À(?2@ 5j`Ã&¢'25p@4?¦·25@<c4n¦¨R©ª25@<c4n¦·=>47 n47=¢7AB¬p@4?@?^<>AB:¦·@47=²8j´s4¯=>47 B4=¢'An¬p54?5?5<>AB:¦
¬4¬AB@*¬i8,:`8B¡B47¬4:n2¦O¤p<c:S8,@\?^48,W¢W§*2@544B¦`¼38U j8p«
8jª·2AOÄp4BŦ3¨ 254?2p8j2W8p¦s8,:`*4'´sS45<>¬47:32@8B=S@4?5p=c2@?8B¢¢'AB¬`8B:O3<>:p¡±2@§p<>?8B^2@<>¢7=c4
<²?8U j8,<>=>8B¤p=c4
}smOm3ÆÇ5ÈOÈ,ÉOÉ3ÉuWOzu}3~smuqDw,ÈpÊnzUtÁw
ËÌDÍÎKÏUÐKÑpÒÓKÔKÕ@Ö£×@ÖMØ'ÔÙ3Ø'ÕKÔKÚÛKÜ,Ý@ÞBÑpÒÓKÔKÕ@Ö£×@ÖMØ'ÔÙ3ÓKßK×KÓÛKÌpà á·à^âxÎ5ÞÔWØ'ÚKÚÛ@Üpã£äÖ£ÚKßKÚÙ^ÔRå&æRçÛ^ÜpèIÏUéêÝWÏUë3à
ì
í î *¥"7(
8,:`4s`48,?@25¢'§+@<c¤D¢'An4¬8*`s54O?5:`?58B4¬*<>25¢Q@<c¬i4Q8BAn<c
:+¨¬©47ª¬25An@5<>4B«p8j§p2W8*4??^2@255@S`¢K¢K252@`p554±4±6£<²An?
8i¤ps<>:`O8,:`@8B.¬`<²¢µ8j2@ j8`8,¦p@2@<>8B§p:n4!2$=>47AB n6478 =
?p2W8j8j2W258$<²¢µ?2@=c54` B¢'425=xp¢7@AB4¬?5ppp@4D?@AB?^5425i<>:p2@¡5<>694±8B?^AB2$@¨&4'2@ª5<>2547@ j<c8,4=BïA,ðU6sñ«47=>47¬§`4³47:32@2W5?<>4±8,:S<>?$³847¹*?5<c¬¢'<>47p:3=>4Q2:pAB4Ws8,@474?^p2@:p447?5<>47¡B@§O O¤D<c:pAB¡
8,?2@:`5`¢'W258,p:p@¡n44?*?5<c4:ò8B@2@¢W§p§`4+4?=c«<c254@§p8,4725@p4
@4»8,@4$ï ós?^¦4ôs B¦·4@õs8B¦ =3¬47¦·25§pð,As÷jñp«ù?6£ø³An:p<>4+¬AB`6±=c425¬§p4®4:3p2@8j@8U2@<c¶$:`¤`¡8ns¢WOs:`?(8,AB¬6³<²2@¢§p254@?5<c44
¬?^4478,25W§p¢W§»Asp25?µ@47<²?³4n«ò25§`úg8,:º2³2@2@§p§p<>47?\+?:p2@`44s»¢'¶An4+:`?^?^<²§ps4Aj@¶û8B¤p§pì=cAjö ¶#¬2@ABA@4!8U¬ nAB47<²¬°An2@5§p<>?*25§Sp8,5:An¤p8.=>47¤`¬ü8B=>¤O8B»:`¢'`4+?5<>:p¤p¡<>:`258,@@<c 4
s¢'8AB2525<>¬@=c<<c74np4«@4=>?@47?5 B4<c4An?^=s:§`¢'«ýAjAB¶¬úg:þ§ppAj@8B4¶p?@?5p25<cAAn<ÿ2@:¬<cAn¦j8B:¯8$B252@44A°2@¢W§p§p254:p§`<@4+34p?^¶·254@42@`=c=
§`¢K8j2@Op2:p5@Aj<>4:p¶$s¡:ò`<>¢7:`4?R8,8
25¤Ss§ýABO25:`¢7§(AB8,¬¬25§pp<²4¢&@?5425< @?@<c?^44<>AB8B¬:º:`AnQ255442@¢W§p47§`4¹*:pp<¢'347<>47ps:34®2@2§!¶·¤OA, 4 6
<c8,:3=²25?^A@As@s4`s¢7`<c:p¢74¡?·825§`544=>8,s´O474s2@§¢'@6£<ÿp2@54725@§p<cAn4:(¦s6£¶$An§p=><>47=>4Q B4`=S?^¢7<>:pAB¬¡ip?5<c@¬4?@<>=>?^8B<>AB
:8,«&¬Å$AB47p=²8j:3´s2W?4(A,6R=>47¬ n474=D¬¢'AnAB5¬n«p@4?@?5<cAn:
`s47?^<>D:p47¡:`§p`4'47?
´s@4SAB48,:5@<>4$2@¬§p2447¶:3OA2@<c8B:S¬i=·8,W<>8jA,:i2@6§p5p4748j(8B2W?5258iAB§S:`?8,2@?:¯AB¶$@8B4§3:`Á8,« ¶=>3
4254<²¢W:`¢7§p8B¢'AO=4!An¬8B?5:`44'8,2@25§p=>A3As25?p<²2@¢Q?7`« ?s2@i&`s<>s@<>O?^42:`?³¦8B8,¬2@=>§p¶<²4.¢$8Us2@6£AB5?<>@4:p¬ 47?^425A,@`625¢K8®A*2@p25S@@4?^<c44?
8i8p¢7478j52W2@8(8,¬<>:ºAsss<²4?^=Z25¦D@<c?^¤p`p¢W§+25<>AB8n:»?p6£`:p:`<c6£¢KAB2@@<cAn¬ :¦s<²AB? 2@5<>¤p47s@2@:p<cABAn`:=c¦`=><ÿ<>:`2sO4SS4.4:`p@sAO4¢7:n42³?@?^@48B?7:`«sABú¬2i<>?(?58B¶¬47`=>==c4O?:p6£Aj5An¶$¬ :
25<c¬§`8,¬2(42@s5<²<>8j42@?47=>§`8U n¢74.=c48,8¥
=>§`AjAj¶#¶ 8U2@ B§p44@?58B4¡B4*@4s?5p4s=ÿ2W25?§¯25W6£AB8,:S?^8,=²8j=>=2@4±25§p254A*?^4.@428BO=ÁS¶·4An?5=²A,6³pp8j8,2W2@8p8`«¦úg¤p:s225§p<ÿ<²2i?<²?^?!25`:`pA, 2
¶·SAn4<c:3§`2.8U Bp4(8,2@`8`?5«ù4®1s?@48,¢'¬An:`pÁ=>4¦$?µ8»AB6 sO:`:p8B¡n¬=c<²?5<>§+¢252@475<>´34®2¦?^25úg:3@`254¢K52@:pp4754®2µ@5AB4p=c<>254<>?i:p¡\§`42W8U8, O¤p<c=>=>4º?¦`8,S:SAn¥:ý¡B8,4sAB2@¡nAB@¬i8Bp8j§p2@<><²¢¢
¬úg:469¬8B¢KAB2@¦S¶¬i4Q8,¶:`8B47@¡B4Q47¬<c:p4<c:n25<²28,=>8B=>:`s¶·Anp4$¤s¶256£8,p:3=R2@4¶$!§`254'A25§`?^4725`s<c2¶§pABAjp¶º=²25§p¤S<²?4!8 6£4D8n4?^¢K<>2@¤p?=>4±25§p254$A*D<>¬475p6£AB=c4@¬i¬478,:3:`2µ¢74B8 «
s?^4O47:`¬8,4¬°<²¢`=>547An n§p47<c=c¤`¢7<ÿ2@AB<c¬ n4Bp«¥@4ú?@2?^4<>?s25@<c¹*<c4±¢'8jp2$=c2!8,=>2@=ZA¦s?58,<c:S`¢'p4³5A325§p8B4Q¢W§8,¬25§`An<>?(p:322OSAB4.6¬A,6
47¬¬AB47@¬An¬58B:`p8,@¡nAB47¤p¬=>4747¬i:32?
¤p8,:`s8B2úg=c38,:*=²25?5<ÿ<²2WA¢7?8BAn=cAB=>:\B@<c¦32@¡n?^§p<c<>:`4Q:`8B¢7p=p4$x6£25Anp§p58j¬4³2@4¬?25§`472@¬4§`8j2@AB52@<>(4(8B58Bï 4±=c=>As8B¦ ¢'¢7258j`ó2@ñD<c8BAn=c<²:=>?*8!`D8jp47258,5256£2@47AB8(@@:`¬??·2@45s`Á47¢'«D2547p:`@*4
¶$:pA,§p245An4µ:p=>8!(?5An4':2A,25§p64µ?^25p@<c8j:`2W¡n8p? ¦
6£?52@An5<>¬ :p¡8,¢':»An58B@=c4`?5§`D8,AB¤D:`4'p2!?R¢72@ABA!:38±2@8Bp<c:p:p<<>:p3p¡ 4
`ì 8,¢W25§S§8,ì«&Wúg8B:¢K2@2547§pW<²?µ?<>8B?(^2@?<>2@¢7AB=c4n@4¦,¶4$<c:°AB:p8 =>(.¢7gAB8,:`@?5+<>p2547@474*¤p<>8B:`:`8B5!4258B@¢W<c§ 4
?Ä2@?55<c`:p¢'¡25p8(@4¤p?<c¦:S8,2@§p@*47@8,47=>¤Op§`8,8U¤D BAB4'2<²s25<>4:p:`¡p25?§p2@4\A(p<>:`5An¢'@¤p4=>8n47¬?^425AB§p64Q@47s`45s425?^§4:nA,2@6<c:`25§p¡4µ=²8,25@@<>¡B4³4¶$<>:3§p25447:@:`¢78BAB=¬:p`As8Bs544? «
25¢'A(AB¬¢W§Sp8,@W48B?@¢K?5<c2@An47:*5¤S2548B¢W?5§p4:p!< 325@p<c44??7¦s«`R8jA!2@§+¢'An¢'pAB:3¬2547p·@425§`?@?5<><c?·AnS:.AB8,25:S4:n.2@<>=>8B47 n=S47`=5An¢7AB¤p¬=c4¬p@4¶?@?^4<>ABS:?^4« 2¶·A!p< x47@47:32
25§p8,4:SABs@§p4'¤S254AO<²¢An8U n+8B47:`A,W8,8,6=>¡ns4?^§p<²¢7?48BAB?5ï ì@4ðs4'¤D25¦ <²47¢7ì §S8Bõs8U=¦s 3ð,ª·<>õsABAn¦&¬A,p6`ñ s25s@258,<c44:\?4'1s2@´O5¢'S25<>474¢K:`:`25`¢7?^4<>5 B44³ï ?RðB=c§SðU<²ñ?^8B«2·?RA,¤S6R4§p475447:(6£4'4725´s@§pD474:`4?^¢7¢'`2544¤?¢48,8U¢':*2& B4AB¤D@6`4
8B25¡B6£§`An4ABp@s:`AB4\ps¡n25<c§:§
A,s6(47:`8»?5<c225@<c46£p¢':`AB¢K:32@<c2WAn8,: <>:p<c:`¡ (<>:`<>?s4S49=c:`Ans¡ 47:3!2ï @8Bñ«!:`sAn§p¬ <²?µ?^5254@?^<>p:p=c¡n2³?\§`6£AB5=²Anp¬ ?±8,8º=²?^A\s<²6£?AB2@Q5<>¤pps8j2@2W<c8iAn:6£@AB¶$¬ <c25§8
·45:`AB§pp4=>=c¤S<c42?32D4±O:ppAj@¶$AO¢7:4?@¢'?±AB¬ï ì p@¦ 4ìB?@ì ?5ñ<c«An:¥254¢W§pö :p< 3p46£AB±25@<>4?±<²?±`8j2@§¢7AB¬p@4?@?^<>AB:«§p4
!#"
%$'&
(*)
+
ð
><ps5448?5?54<>?i¦O?5<c8n¬?·p?5§p=>4 Aj¶$`:*8,<>25: §`?i&<>¢7¡BABp:`@?54 <²?2@¤<c:p« ¡A,`6±8j82@§.?54 ¢'3Anp¬4p:`5¢'44?5?5AB46µ*?5¤p<c:p<c:S¡n=c8,47@(¢W§`2@<c5=²<>»4µ<>:p?·AsA,s6M42@?i47:8,@54476£47¢7@AB5¬4
25<>¢A*8,=>8B=c?$n«.8úg©:8,25698n@<>¢K¢72<>¦R8!2525§`@4\<c4n«:Op©¬!8j2@¤D§47!¢7ABìA,¬6$p:p@As4s?@4?^?<>AB<c:.:»¬8+8US\8j5254§°s`¢7AB¢'4µ¬2@p§p@44?@?^?^< 474±AB¤`6R<c:`2@8B§p54±®25@25<c@4Q<c4.s?W2@8,AB¬i@<c8,:p2^¡
®:pA,B2
4@s4?·s<²S?
¢'ð4ï ô3ì ¦ «õU§pñ« 4Q8n?^O¬s25AB25<²¢47´sS4¢K254.8U n47W8,¡n4s47p25§¦p§`Aj¶·4 B47¦3<>?2Op<²¢78B=c=>
ì p@4?@ì ?^<>AB:þï ðñ<>?(8+¬AB@4i54¢'47:322@4¢W§p:`< 3p4n«ø³:`¢'4\8B¡n8B<c:¦R25§`4\<²s48<²?
¨
7
4
n
7
4
=
7
¢
B
A
¬
?^8,<>:`¬ºp25=c4 §p<²?*?5p¢7AB¤s¬2@5p<>4@?(4?@2@?^§`<>AB8j:»2i8,<²?@4D47¢75AB6£¬AB@p¬=>4'42@»4 2@ZAB8,ò=>=
s¢W§pAj<c¶$=²s:@¦47:¸?^448,@&4\<>¡Bpp@4@?54 47:32 ¢B(«¸8,©@454¢' 3AB<>AB¬Sp?^@=>4?@?5254§pÁ<²? ¦
258,4:`¢W»§`:pp< 473=>p4'4±25<>AB§`:º8n?ABABD:p47=>Wi8j25¤S<>AB447:S:?`8,?5@44*.:p<cAB:2(?p2W8j@Aj25<² O¢±<>sp48jò2W8(ï ÷B?^ñ25«@`¢'25§pp4*@4=>47? B¦O4¶$=§p¢747AB@ì ¬4³p47¹*@4¢'?@<>?^474:32$25<c@:`<c?54n47¦525¨&<>ABª:
2525@§p<c4i4n¦`8U§` B8n4?@8Bp¡B54QAj n47´O4\D425¢'Ai254¤D4sA,46s<>25:3§2547A,@46?^8,2
:¤DA,¨&25ª§25<>:@<c425§p<>?4AB@.9=cAn8B¡:`=>AB¡p@8n¢K2@6£<>AB¢7Q4B«p8,ú22@8\<²?$6£5OAn:p¬ Aj¶$8\:=²258,§S@¡B8j42
pS¢'=²:`48B^¢'?@6£An?$An¬5A,¬i6p58,s4:S<²?5?¢'?52@4i45<>+¤p<>:°s8B2@:`p<cAn@8n:``¢K?2@8,<>ï25¢7§®4Bñ«¦¢7AB8B¬?§p<²?5p?
§p@Aj?54§p¶$?@?^AB:4`=>¤O25@¤D<c8+44!?7@¢'«4An¢7¬47§`:3S42!8,?5@4!?^4AB@.6M42?525¶pA8B=ÿ2W52@?4§p48B<>¬=>=>?5ABAip¡n=c8B254W5¬8,<c25:S47§`:3?^¬=²2@8j8,<²2@¢±254±<>ABs25:°47A\pA,¡n256$§+AOAOúA,© 6
5Ans25ø³<>:p:p¡4³2@AB8B6¤p2@=c§p44Q?`s?5<ÿ¹*<c:p¢7¡ip8i=ÿ2@<c?^42@?8,25¶$<²¢µ§p47¨:ª<>Z¬2@5`<>4i=c4ï¬ð U4ñ:3« 25<>:p¡8sO:`8B¬<>¢µ¢'An¬`54?5?54*25@<c4±?2@5S¢K
25A,p6&@254§p<>4Q?&2@2@5§`<>8j4B2«$8µø³?^p<>:p¡n?5=cAB4=>sp25x<>ABp:8j2@2@4$AAB25D§p47<²W?
8jp2@<c@AnAB:!¤`=c¬i4¬#8U<>?
¢78B25`Ai?^4$@478³=²8j=>´*8B52@¡n§p44!8B¢7:`5<c25¢'4An5<>?^AB25:.=>6£@AB4
?^25=>47@ n`47¢K=2@p¢7@AB<c¬:p¡
`pS5=cA3=>4?54?5?5?5<c¤`«<>AB=c:*425§p8,A:S<²?(*s§`A(8,8B=>8!=c?Aj:3¶ý?^`4¬! B¢74AB¤D@¬8B47=·p@A,8B46p?@ Up?^<>8BxAB:3p:2@8,8,2@25¡nA!44?2W?8,<>«®:.B48!p§p`=>48n8,5¢'54*254³=><² 47?( B`=c44=>:*=c?54?(¶$*5§p:p44?As:.2@s54³S8!¢K¶$?525p`<ÿ2@¤s5§p<>2@:pAB5<>¡`s42¦<²¤D O?·<c4ABAn¢:p=>8,8,=>`25<>?5:p`4\¡8,<c52(2@25§p=><²4?
5¢'n4AB`s:S<ÿ2@`?4(2@¢'@4s8B?W<c:38,25§`2@¬i?Q48j25s2@@<>47<c¢B¡ns«³¡B2@§+47@§p<>A,:p4(6&¡+25p§p<ÿ@2W4<>?!¢7254!@@4<c¶4Q?54< 74<> B§`:p478U¡`: B«+46£púg25:º5A\25§`S8n47p8U.s«<c25<²úg?
<>:¥AB2@:?^§p¦An4¬2@S§p4<²AB?!25¢7478B@:3?5472@4=²8j<>?8B´s2@=c4=>§p<²?$<c=>:`475¢7 n45s474=`8B¢'¢'?525AB<c<>:`¬AB¡*:+p?@¢72@48BAB?@:W?58,<cAn¤D¡B: 44
5 B4 47n@*`<c@?5¬47¬8B47=c=R:38,2W?7¬« ABp:3Aj¶·2$4A, B648Bp¦xp<c2±<ÿ2@<c<²An?±:`D8,An=Á?@¬?^<>¤p47¬=>4!An2@5An« ¡n4'2µ25§p4¤D47:p4 S¢'<²8,=4 D4¢K2W?±`?^<>:p¡AB:p=>®8
25?^§p4¢'4±ABúgAs:S:¢Kp2@?58,5`@48jQ4³2@?<>8,8B2@@AB=&4W8B8,47p´O¡Bp425=>4747<>:S¢:O?^8j O<>25 B<c<>@AB4AB=c:S:p?¬`2@?5454<>:n4'2¦,¤`ï s`8nOì?^ñ4:`«¥8,R¬pA<²8j¢2W58\4Ans@?^p`2547¢'@54³`¢Kp252@§`@p44³@?54:O47?µ@p O¬(?^<c`:`¤S¢W¡
4§p8B8jAB?³2W6R8³25s§`?^<²25?^4 @*`38n¢K`¢72@8np¢7O4@25?@4@?^?&474¤`4?8B<>8,?5::`48
AB¬:<>:p4'4´O:*254ï :`sóñ<>¦j¤p;=c4<c4§` B8n47?^@§`¡B<c4:p=ÿ¡µ2Á47AB2R8,=><c=:`«n4ï ðB8,óñ§`¦,ø8n?^25§`AO<cA:p¡µï ð3§`ô38U¦ nð 4·ö ñ¤D¦ 47 4:(§`8B<>:3:p25¡@AO8Bp:`` ¢'±4Á§p«&5<²¨?5§pAB¬:`8,4'¬(2
pï ð 525ñ§O¦B!&ï 8,¬ôñ ¦
25p?2@47@5:S47`s4¢'?^<c25¤`25pAn=c4@:®4§S?ï ì8B¤S÷j?58Bñ§p¦s?5<c:`48,.:`¡`\« AB±:1s47@=c47<><>47:p¡n¡B44748B=8,8,§`:`:`8B +?5±§p1O<>@4:p<>47¡`47¡n¡B« 474=R=cïï =Áð ABñÁñ&6Rs8,2@§p:`4?54 ¢75p
<>8j¤Sp2W4µ28`p?48j2@? 2W58!`47¢'?^252³25p@8,@`=4¢K«?2@ï pì¬@U447ñ?:3s2@¤S4<cAn8B?@¢':p?5@44<>i¤S4An8,:*¤DpAj8,4' B2@´O84
§`§`8U8U B B4³48,¤S=²4?^47Aµ:.¤Dp47447?5:<c¡n<>:n:p2@45*Ass6£ABS¢'48(?56£4AB¢7AB:`¬ip8,8B<>5:¬?^254AB¬W8,AB¡n@B4
«R47¨R:O O8,<>W5?^AnAn:p:\¬ï ð 47:3ñ`2s¦34¤p?5s¢72
5<>?5¤D<c¬4?<>=>8³8B=c<>:p?^254@8B`¢K§`2@p8B?5@§s4?
<c?^:p4¡8,W¤`¢W§(8n?^D4i4756£¬iAB@8,¬i<>:\8,¬:`¢7474$¬A,AB6D@2i¶·pAQ8j472W´38(2@47?^25:`@p`<c¢'¤p25=>p4
@§`4B8n« ?^
§`<c:`:p8B¡±=c3¤`2@8n<?^8,4:`*¬i©ì8,@<>8B:¬i¬8,4:p¬<>+An5ï ìñ?¢72@AB5¬S¢K`258,`@54
4?&2@§p25A4
¨8,W?5AB: ?p8j2W8?^25@`¢'25p@4B«
,
-
(.
/10
2,
&
3)
4
65
&
(*)
7
8
8
+
9
:8
:
'
<;
=;
;
(.
@.
BA
4
?>
?
7
%
&7 +7Q &7 &"
úg:p:< 325p§p4<²?7?!« ?5 4¢'425<>?^AB2@:8B^¶·2$4\¶$¡B<c25<>§ B4i25§`8+4¤ps@4 <c47`6:`Aj<ÿ2@ n<cAn47@: OAB<c46¶ 8A,¤`6$<c:`¤p8B<>5:`*8B525®@<c4n25@« <c4 ?48,:`?@8U°i¢72@AB§`¬8j2p@8i4?@?^?^25<>@AB<c:`:¡ 254¢W§s<²?
25§p4 eHK AB6R2@§p4?^25@<c:p¡ &¦s<ÿ6&25§`47@4µ<²?
8?^25@<c:p¡ *AB6R=>47:p¡B25§ ?5`¢W§25§`8,2 «
.V5¾[ F7VKXZ J9F'9Â H7k ¤p<c:S8,@.2@5<>4 aW[jL`XghjJMLSJML3d F7GcF'fiF7L`XZH(J²HhXV5FWF JMX£bXMb`F$]'[jGMG>[ JML3d
]
X£bpF!XZVKJ9F!J²H!F'f XY
] ì X£bpF!XZVKJ9FaW[jLpHKJ²HKXZHQ[^]!hiLx[ nFX£bph,XaW[jLSXh,JMLpHQX£bpFF'GcF7fiF'LSX
] JMLDh,VKYìXZVKJ9F±X£bpaWF([jLSXZVKXJ9h,FJML`aWJM[jLOL`d!HKJ²X£HWbpXZF H![e]HW h*LxO[ FKnH
F []µJMhjX£b¥GMGÁX F'G>F'[fia@F'bsLSJMX9G HjV@HKF'XgL hjVKXJM_xL3bpd F(GcFZJMXM]Wb XaWbOh,JMGL .!J²H(XMb`hF
VKJÿJMdUX£bOb Xa@bsJMG (J²Hh JMLDh,VKYXZVKJ9FµìaW[jLSXh,JML`JML3d!X£bpF ì eHK OF'H$[^]hjGMGxF'G>F'fiF'LSX9HHKXh,VKXZJMLOd
ì
R?2@<>AB¡B@`<c:p54 ¡.ì258¥§`4*s8B4p¢K2@<²`¢K2@8,?=8®¤`<c:`¤p8B<c:S58,@®?2@52@<>5:p<>4.¡n?Q?^258BAn554<>:p:O¡ p¬!ì ó¤D4747@=>447¬4?^:n2@8B2W^?72@«<c:púg¡.:»6£2@@§pAB4¬ S¡B« p@p4BAB¦Q2@§p47´p4.8,:`¬AOpp=>44B? ¦
:pAss4 4±ì ÷8B?@??^2@`AB@¬4?$4825§`¤p8,<>2:`8B8,=c@=x\?^25?^@25<c@:p<c:`¡3¡?<>¶$:.§`8An?5254µ@<c4±`58,4 @p4´\`<²5? 4 pìB´OìBìZ6£p@ì474 pì :p« A?2@5<>:p¡¢78,:\¤S4±8!`54 p´
A,ú668,8,=>:`=A,?252@§`5<>47:p¡3«+?µúg?^:»25An`58,4¥525<²<>¢':¥`=>2@8B§p4¦R2525@§p<c<²4i?(8,<c¬@4!p`=><c:p4<?3p2@§`4n8j¦2<c2±s<²p?µp4=>8n<²¢7?^8j[email protected]@A.?^25<>@:`<c?5:`p¡n5?48B2@5§`4*8j2µ:`A,252§p4i8B=c?^=>25Aj@¶<c:`4¡nÁ? «
4'8,?2@´p@54\8,<>:p¬p¡p@4 25=>4Bp§S¦R´O8j¶·2
6£54i§`48n4*¢7?$8B¤O:¤S»48B478,p:pDD4'47´O47:`2@:S47s:`<c25:`s§`4¡4*8?<c2@:5?^<>D:p2@4§p¡ ¢7<>?
<>ì 8B¶=·8U¬i*8,<²@?$B2@4AAB(6M2525478,§p:+2!4i25@4§`4':`6£4.454@A,:`46»\4258BABA*¢W6§8n4?$8n?^25¢W8i@§º<c?^:p?4¡S2@¬5« <><ÿ:p<c¡S: « ``:p:p`<c<cAB252544
?2@5<>:p#¡`AB8,
25?5§¯<>?^¢725@AB<>¬:p¡`p« @4?@?^4¤p<>:`8,@25@<c4.<>?8+2@5<>4\¶$§`47@4.8,=>=?^p¤p25@<c4?!¶$<c25§¸8,:»4¬p2
¢W§p<c=²§`8U B4µ¤D4747:@47¬Aj B4Á«
.JM¾ XMb+XMb` F9]' [,GMGc[ JMLOd `8,V525[§¸F7¢'VKABXZ¬J9F'pH7k@4?@?54¤p<>:`8,@25@<c4 aW[jL`XghjJMLSJML3d F'GcF7fiF'LSX9H\J²Hh®XV5FWF
]
X£bpF!XZVKJ9F!J²H!F'f XY
] ì X£bpF!XZVKJ9FaW[jLpHKJ²HKXZHQ[^]!hiLx[ nFX£bph,XaW[jLSXh,JMLpHQX£bpFF'GcF7fiF'LSX
HKF7] XGcF7VKJMfL3dF7L`+ìXZH
[HK](XMb`X[,GcF!F7V5L3F XdBVKJ9XMFbJML¥a@[,X£bpLp+F±HKJ²X_xHKVKX9bOJ9H!FJ²H![^]!HK_xXh*bpVKJMFLxL3d[GcF9n]WF FX'`a@a@bs[,h,JML`GIGH!iXghjX£J²JMbpHQLSFJMh L3Gc[,d.L3h,X d3XMbFK[.HKXaWa@[,bsf V5JMFG jV5V@+FKF'HWL»H7aW[jF hjfL f.JMLD[,h hjLVKYJMXgLx[XhjVKhjVKJ9GMYF G
VKaW[^]Jÿ[jdULSbOhjXGMXh,G&JMaWF7L`bOGcJMJMF7LOG fd®F7J²X£H³L`bpXZhF H±HKhjXh,X£b\VKXZaWJMLO[jì df eHKV@JM FKX£bHWH7OF F'ì H*JM[^LD].h,h,VKGMY!G$XF7VKGcJ9F7F±fa@F7[,L`L`XZXgHihjJMHKLSXJMh,L3VKdXZJMX£LObpd F JMXMb ì eh,HKL OXMb`F'FH
25¬R@<><cAn¡B45`4³A,54625§SRì 8,¤+<>:¡Bs`AB45:pp4 4±<²¢Kì ¤p2@8p<c?$2« 256£§pABû4$:`S¤p8,8jW8,2525p§+:SW¢W¢78,§pAB=<c¬:`47¡`´3p« 2@@474 :`?@?^?54±4<>AB\@:º4'6£¤p4AB<>:`6
8B2525A5§`i425§p2@5S<²?$<>8j425?^¢'§ò25@An`5¢'@¢KAn42@¬?5pD5p4QAB5:`48n?5s?$?5<>4:p8!°¡(=>472525 n@A47<c4=2@§p8,<>4Q?(:S\¤p2@A<>`:`8,8,S25@?^§ 4
¢'AB¬p@4?@?54i2@5<>4B«
÷
C
4EGF
D
H8
6J
^
S
RT@UWV
'I
M
HKL
N
4J
OM-PQNRI
V XUZY\[
']
/]
^
_`
P
a
_`
P
a
fe
a
_`
b
^
c
db
c 9]
i
g]
c
hb
c
HKfL
i
c
]
j]
Xc
HKL
b
=8
:8
=
+ +
:8
2,
:8
H8
m.n8
2lkkk
l8
.
S
RT@UWV
V XUpoq[
]
/]
_`
P
a
_`
P
a
_`
e
^
^
b
^
c
c
a
r
s rRsb
b
& s rxsy
c
^
)
.
1r
^
i
b
i
hc
vuwL
3c
^
z]
3c
^
c
^
c
HKL
m]
g]
3t
3c
<
db
i
r & s rxsy
Xc
)
HKL
.F'GcF7¾ fiF'LSX9HQ9 J²H!hiXV5FWF =>47 nJM47X£=Rb8BX£:`bpF·]'`[j8,GM25Gc[§®¢7JMABL3¬d p@V54[ ?@?^F74VK\XZJ92@F'5H7<>k 4 [jV(h,L ¨©ª25@<>4 aW[jLSXh,JML`JMLOd
]
X£bpF!XZVKJ9F!J²H!F'f XY
] ì X£bpF!XZVKJ9FaW[jLpHKJ²HKXZHQ[^]!hiLx[ nFX£bph,XaW[jLSXh,JMLpHQX£bpFF'GcF7fiF'LSX
ð
h,aW] [jL ffih [jì LòJMLDXX£hjbp[°VKFQY®h,XZGMVKHKG
J9XZFVKF'JMGcLOaWF7[,fid LpF'°HKLSJ²HKX9[^X9H*]iHµHKGc[^F7Xg]Q[jL3V5dBhF XMbLD[ JMBLòF!X£aWbp[,F_xL`bOXgXJ²hjVKHiJ9JML`F HKJMXLOVKdJML3[,dVF aWFW'bOhB`JMaWGh,b jGIHiV5F7XMJML!b`LD]'F\hj[jVKG>VµY[jL3H7HK[jd3XZfiVKF'JMHWLOF X d V5F ì[]
GcF7F7GcL3F7fdBX£F7b L`XZH³HKXghjVKXJML3d XMb`F'V@JMXMF®b J²H®h¸a@bsJMG òaW[jL`XghjJMLSJML3d¯X£bpF
eHK OFKH®[]hjGMG
S4^6£4¢K2¨©ªZ2@5<>4µ<>?
8B:¨R©ª25@<c4±¶$§p454±:pA4¬p2\:pAss4?$8,@4±8B=c=>Aj¶4Á«
D4756£4¢K2¨R©ª25@<c4 J²H!h,L &egXVKJ9F JMXMb¥XMb`F]'[,GMGc[ JMLOd V5[ F7VKXJ9FKH7k
.¾ 9Â
]'_x[,bpV FRV5bO[J9[jaWXb[]$h,GMX£GRbp[F]XVKXMb`J9FFQb`HK[j G jXZH VKJ9F'ð HQh,HKV5F(XZLDVKJ9[,F'L`H e^F7Rf bpF7XZV5Y F ì J²H$XMb`F
fih nJMfsf LSsf F7V
hna@b+HK XVKJ9FQJ²H!h,L &egXVKJ9F
R¢'AB<>¡B¬`p5@4 4?@ì ?5¢³4p@25Aj@ O<c<>4\s4<c: ?8,&:<>¡B4'p´p@8,4 ¬p¤=>«4³ABú2W6&?8@DAO47A,52!6£4<²¢K?2AB¨R6$©pª47¡B25@@47<c4 4±¢'An8,5:`@4?5D<c2!AB:`§`s8n<>?Q:p¡!6£AB25`A(25?5§pp4±¤s`25@8,<>254§ ?
?2@AB@<c:p¡¬An5425§`8B:AB:`447=>47¬4ì :n2 8¢W§`<c=²AB6`s47¡n544÷³8B:`±ö 25§`544·¢W§p<>=>p54:A,6`s4¡B@474ðs«
S
RT@UWV
V XUQ{|[
a
6]
_`
P
a
_`
P
a
e
a
_`
Xc
]
^
^
b
^
c
db
}
+c
i
-r
PJ a
3t
^
i
b
a
vuwL
4
& s rRsys ws )
c
1]
J~
c
s rxsb
3c
ps ws
a
HKfL
1rwb
.
S
RT@UWV
V XU
[
4*<
}
c
_
i
a
i
6]
i
_
9]
J#~
]
^
4*<
/]
^
:L
^
i
b
+b
+,
î %+7³&µ'(
¶$<>4µs4§`=c8U B8U4³ j<c8,¬<>=>p8B¤p=>47=c¬4n¦j4§`:n8B2@?4*¶4725§p=>=p4±s¨4 `©:pª4Z(2@52<>O4D<>4:*?2@8,§p:S4µ¼3?58U47 j¬i8Q8Bp:n@2@AB<>¡n¢?7@¦B8BA¬x¬47W<>?&:p¡8Bs=²8,25An:p¬i¡n`8j8,25¡n<²¢4B«&¬¼n478U¬ j8QAB@<² ?
¬p58BAn:`¡B8,W8,¡n¬47¬<>47?:3223¦,`8,:`<>¢(8,=>?^=cp`?^S=>AjAn¶^2W47?RQAn2@¤ §`48,¢':°2&2@An§`58j<>472:32@A,46Q8¥p@¢AB8,¡n@4'@6£8Bp¬ =>=>p4<>?5¬<c¡np:=c4«&¬47§`:34254?5S¸4ª4(pA,@6SAB8µ¡BW¼38,8U¬ U8 «
5?^p§p§p:3An<>p2@?µ<c=²¬\<²?µ4:p¬47AB:OA32
O?¤S2@<c@=c4¥AB¢7:`pAB¬p¬44D:3254'[email protected]?<c« 2525<>§p B44Q4<c<>?5¬:474¬i25§p:p8j4QA±2@p:`@@44<ÿ8n8,2+?^An6£AB:s62@¶$p25§O§`@Q4B4« 25¢7§pp45@D4747:352@6£=cAB+@¬i8U j8,8,:`<>=>¢78B4·¤pAB=>4(6D¼3¢'8UAn U¬8³pp<c@=>47ABW¡n?±@8B8,¬:` ?
<c<c¬: Sp:p =><ÿ472@¬44®§`47¤p:38U<> B2W:`8j4·8B25?^5<>AB4¸`:°8,?2@¤OW58j<>2@:p4<c¡`:3±« 252@@§pAsR4sAº`p¢74'8B<c2@p:p8B8B¡¥<c=²s?&8B2iA,:°256p§`<c2@:34§p2@447p5¤p8,69<c8B2@:S8°¢'8,4 @?^±25lS@w,?^`25ln¢K@m <>2@:pDp¡w54¥t ¬i258,Aº25:`§`<c8p8,2!`:p=>@8,447¶-25p<>AB@p:4?58j6£472W@:38AB2@¬ ?Q2O8®2@S§p4n?^44¦$25¬¶·@<c<c44
AB¶·:p4=>i¡B<>:p B474(425*§`2@5A(44¶$<>@¬<c25p4±=>478(¬¢747=>8n:3?52@?·8,2525<>§SAB8j:`2$?¦<c¬An:pp4=>47¬6£AB4 :nµ2W?·1`25ª·§pú^4 ú±lS¢Ww,§`lB8,m Wx8B¢'w25t 4µ<>?^:n252@@47<c:`569¡n8B?¢7¦Á4BAB«:púg4:.6£AnABp$?5¢'§pAsAns^42
¤p<c:3<c25:S48,¡B@4?^¢725AO@AB<>:pWs¡n<c?³:S8B8j?2546£?7AB«Rpúg:`:®25§p<c:®4 úglS:nw,2@lB47m @:px4'w2±t @AB<>:3s252@47475W69?78B¦D¢78,4:`<c®¬ABp:p=>474!¬6£47AB:3µ2WS8j25An<><cAB:3:(2@?³6£AB<>:`8*=>8B`:`=>8,8B:p4!DAB¶$<>:n<c252W§ ?
25¶·sA*<>4?@p¢'`S@?5As?54
?5s48µ`.¢7p4<c5:°48ipï @ABAOð:p¢7ñ47«4?@p?^<c<>¬:p¡±47:S?2@?^47<>AB(:`258B§`= 8,,2÷B<c:3¤`2@<ÿ472@¢7=c4A38UAn B@4p?R<c:`2@§p8,254$4n¤p« <c2@?<c2AB6 <c:32@ðj47@¤`=c<ÿ428Up 3=²<>:p8,:`¡8B<²?
¢'4'AO´OAB2@W47s:`<>?5:`<c n8j472@4=> ?
:8
x
8
x
%.
x
*7
ó
25=>8U§pn4iABø³s2@5:p2µ<>4i4BA,« 6·A,6$8.2@=c4i§p44*8j`6?^¬4.<²?QAns?^?^<2!25xW<>478,¬@<>¡B47D:3§3AB2(2^56£An2@¢78B5=>8n¶:3?52(8,?54WsÁ?µ4« ?56£An<>¡B:°<>=>:n4<²?52@8,?5476·p@¢':`4An?8,:n=<>2W?!:p8,As<>§p:`sAj?±4¶?8*258B@A¥:`4'6£@4475=cp44:`@8U4¢' B?54(447?7:325«A2Q2@8\§p§pn4*4i47:pn¬As¦D47s¶$¬4§`?AB<>¢W@A,§ 6
<>:p?³As8is4Q?^<²<>??2@55<>4:pp¡S@¦S48,?547:S:3+2548\5¤O47*6£47@247¶:`A¢74±<c:3252@Ai47¡B2@4§p@4?¦` j88,=>@p4'4!6£48n5?54?5:`As¢'¢'4µ<²8j2525A*48 ¶$<ÿ2@§25§p<²?
n8,47:`B«8B::+8B<c:3525W48U5i:SA,8,6=
5¢'47AB6£¬47@¬47:`AB¢7:4?$p@2@4Aip25´¥§`4(?^25¢W@§p<c:p<>=>¡p5@447:¥p@A,46?54725:3§`254!<>:p:p¡\Ass84n¢'«Anúg¬:`p?^255448B?5?54A,6S478j´s25p§lS=c¦w,<²¢'ln¶·<c25m 4(=>D+`w?t?52@4AB@8.<c:`5¡476£4725§p@474(:`=c¢7An4:p2@¡BA4?8 2
25=c¤p4§p<ÿ8j2W46?$D<c`:An?5?54AB<ÿÁ2@:`<c«·An4Q:!A,§p6&A,6`4Q25§p25?^§p4!< 74 ?54Q`pABW¤s?6R2@252@<>¤p§p4<c4?2« 8,`@?^@48U4QQ:p6£An4 47n&4S.¤`8,@2=²8B¶·?
:`A*ð ¢W§p8nwU<>p:pmSs¡³z <c258B«<>:`AB:`§p8B4±=ÁwU:O<cmD:3pz 25¬!42@¡B§`¤D48j47@2 ?¦ ¡nÆ`<cwU n{pmD4z z?2525<>§`§p?
48,:p2:OA,p<c2:S¬!?^s25¤D<>@¢<>478j¢'2@254A,=> ?6
:p8,@4@¢78U4n?@«?58B5n¦x?5<>:`¢'4<ÿ2¢8,:¤S4i¢'An¬ps254®8n?2@§p4¤p<>:`8,@+=cAn¡n8B5<c25§p¬-AB625§`4?5< 74A,62@§p4
54:`8,¢': 4
?<c5:38U25 n445?.:S§p8,`4=?5:p4?^AspAns=>¬8n4n¢'4«4¬¬§`447:3<>¬?±2µAB<²AB?Q@6þ`25?5§`8,4':`4i6£p =c=·Anp:ps@¡BpAj4@ O?<c:p2<>s¡¢'4An?*<>:`¬`?^¬4?+^An2@8n<c:®An¢7¢7:`p4?Q@?@4 ?*8,`:S2@´®Aº?¶$2@2@5§p§p<>4:p4:¡p5¶$254§p<cp4*25´§?5< 8.?^254@=>4<cA,:p8,6¡¯6·8@6£4'@:p6£AB4As¬
<c¶:`8U¢7¥54¶8B?54*4Á¢'«Anp=²:8B?@8U=ÿ2@ B474i@:`?58jAB2@¬<c n4*48B¶`ABsp<ÿ2@=²\<cAn:`¤D8,4µ=25¬A4@47¬¬ABAj@B B«\425§p§p4±4.@4's6£@478U@¶$47:S¤S¢'8B4¢W?+8B<²=ÿ?Q2@AB25¡B§S478j252§p4<>:`«&?^4úg^:.2@s<c254An§p:`<²<²???
¬sAj<>¶$¡B§3:225¤DA4¢'8iAn¬=c48j46?5«µ=>Ajø³¶·:¥425¦j§p?54(<c:`A,¢7254§`¶·474§S¶·8,An:`pÁ=²(¦x8i8B=c:O¶p8U¬(s?¤S:p4³44AB!625?5Aµp¤`25W?^8U25@ B<>4:p@¡\?54¢'2@An§p¬4`258,@<c@4$<>?58,AB=>:S=3?25§p2@4$8B3¶<>:p8U¡
pABD=>8n47¢'W4Q8j25<><>:AB: 25§p`4!:``s8j<>:p2@§s¡.¢725AB§p¬4 p`@W4?2±?@?^¢'4AB\: :``AO<>¢'p254<>:p?$¡AB6R¤p2@<ÿ2±§p4Q<>:¥25@25<>§`4Q4(¶·=>An4p8,6=>¦D¶$¤D§`4<>¢W@§47p¬=²8B<>¢7¡B4§32±¶$¶·<ÿ42@=c§¥=&¤`8i8B?^=><>8B:p:`¡n¢'=c44
25¶·§pAn4+p=>47´32@¢'@=>848B¢75=>An*?^2*¤D4QA,6µ¬25ABW8U@4³ B4747W´O?5D<c:p47¡:S?^=c<>An B:p4±¡B<c46&i2@§p`4Q8j2@@§`4'?6£47«ý@47:S§p¢'44¥?s¶AB47`@¤p4±=c<>5:p4¡°¬AjAn nS44Á@«8,25<>AB:¦·§pAj¶·4 B4¦
4'S´OA325?^W<c258B<>§p¢'AB2Q4µ: 6£?55Æ`4An8B{p¬ @z ¢W«§\25§`AB4\§pD447?^W44'8j8,´O25W<>25¢WABW§:.8B¢'n<>25?474+® n472@¤p@§p*<c4*2@??^:O<>¬8Bp5¬(p4=c¤S4±<c:348,2@:S47A,@\p6$547¤p47¹i<c252@4¢7?Q®<c4<>:3:`8B2s?±« <²¢788,:O252$4p4¬!8B¢W¤3¤D§. 47±<c:32@2@wU§`47mS@8jz :`2Q8,?<²=x?±2W8,:p`5As25?5s<>4:p4n®¡+¦s6£¶·AB8j42
<c?:`2@5p<>4':p´s¡n<c?:`¡s`255§`<>4µ:p¡¢W§p25<>§p=²*4Q8,?54@8B@8U@n¢W§«R«;úA,2$25<²4?252§`38,`2·<>¢¶8,4=>=c*:p4¬ B4An54µ<>:`4'?^¹*D4¢'¢'<>472·:32@2§p254µA=cAnD:p47¡B56£4AB?@2·¬#¢7ABAB¬:`¬=ciABAn:*:p`4µ5254 4p?^´ 2
6£AB$úg4 :`3?^`48B^=c2@<c<c2An*:`¶$?§p8,4:`:¸5s48B4=c¢W47§p25<><>:pAB¡(:`?*25§p8B4Q54=>48,8,=²6?5« A?^25W8,<>¡B§3256£AB@¶8B@Á«¯§p47¸8,@4.D4756£AB@¬4¯<c:
2547§p=>474¬?5478B:3¬2(4.<>:3¶25A+8U2@§p8n4i?2@<c5:¸<>4B8®¦¶?^2@4*8,:S47<cp258,§pW4° ``8,:S25»§sg8,¢':°An¬4¬`5p42?5?54=>48,2@6$5<>¶$4B« §p47 @4i§p254§`:¯4\<>47:`=>?54747¬5254<>:n:p2¡¢78®8,:°:p47¤D¶ 4
<c¬:`?58U47.525§`48,¥`SAn4:+2@§p¶$47§p@447:¥¶$¶<c=>=4¤S¢'4iAn¬8.`¬8,@<²?54±¬25§p8,2@4!¢W§`8j¶$2@§¥§p47¢':®AB¬25Wp8U@ B447?@W?5?54<c:p¡*?2@255§p<>:p4¡i25@<>:¥<>4B«8,:+§p<>:3<²25?±47¬@:`<>8B?5=¬i:p8jAs2@s¢W§ 4
¶$:p47<ÿ2@¶ý§¤`25<c§p:`4
8B?^525i@<c:`:`AO¡±p254³AQ¶$¤D<c4$25§.<c:`2?5¶·475A254¢W§p<>AB=>s@<c472:¬i¦sA,8U6¶$As§p¢7¢'<²¢W`§\An<c:i:p4±8±¢'=>4AB8,:362W«R8,úg<>:`:i?¤D2@A,§p2@4±§:p¢478B¶ ?54?47=>¶47¬4$47<c:S:3?^2
48,^2:`8
25?^§pAn¬4±A,4(2@A,§p6472@§p2@4§p4±:ppAs5s44 O?µ<cAnAB`:®?·25?5§pp4(¤s2@255W<>8U4B B«4@?5§p44±An`:p8,=c25i§®`255AAn¤p547=c42@¬ 8,<>:®<>?`2@5§`An8jS24¶4³=>47 B¬i48U=i¢'AB:p¬44p\@425?@A?5<c5An4:+?^< 7<c: 4
258,§p:`4Q*2@p5AB<>4Bp« ¤p =><>:p4Q¡`S« ?^&4Q<c¡n2¶p5Ai4µsðQ< D<>=c4=>`54?^:n25W2³8j:p254As?s§p4QAj5¶¸4?^2@< 7§p<>4³:p¡sAnABpD¤p47=>W<c8j:`2@¡!<cAnAB:`D?4725WA*8j2@8n<cAn¢W:i§p<><>47? BS4µ42@^§p6£An<>? 5¬§S48,*=> 38,<>:`:p¡
R<>¡B` 544 `W?^?^§`2!Aj¶
s<>??@¢'25S§p?54Q?±§`§p8BAj=c¶ O<>:p25¡`A+« ¬i8,<>:32@8B<c:°8S4^6£4¢K2!¨R©ª25@<c4isp@<>:p¡<c:`?547525<>AB:S?8,:`
:psAs47=>s4'4+2@<cAn25:`A°?7@«Q47ú¬6Aj8\ n4.?5p2@¤s§p2@4¥5<>4(4¬AB6·p28,¸:?5<c:3p2@¤s472@@5:`<>4B8,« =:púAs6µs2@4§p4¥<>?±:psAs4s=c474®254<>Á?i¦Á¤`¶·<c:`48B:p5n4¦4+<ÿ2.2@A¢8,¢7:òAB¬¤D4®p@s447?@?
=>4'2@2@§p4 4
.
.
x
H8
8
6
+
H8
:8
.
8
j8
l>
.
z
:8
%8
@
8
7
,
58,4=c25?^AB< 7ø³¡n4Q4':\2@?5§pAB2@§p47¬ 4O4±A,A,A,2@256§p§`472@47§p$@¶$4§S<>8,¢W?5§p:`4±<>Á=>¶·p¦S4±5<ÿ2
4§`:.¬i8BAB=c8U n6R.4³2@§p¤S2@§p4Q4Q4Q§`D:p8,AnAs=>?@ B?^s4<>4n¤p\«=>4±:`;
AO25A,A*p2@4±4µs25An25A§`p8,¤p52
47=>4±2@<ÿ8B2
25<c§p:¬i4p8U?5\@< AB78B4QD=>47?5A,
A6¢'¤S8An4Q¬:p:pAsp4s5¢'4Q44?5?5¶$?5?@<><c8,AB25@:§p«Ans25A 2
<c<>:3?256£@pAs=>s=Z« `¢7<c:p4(¡?@8,8U:O\2@§`:p8j4¶2Q8i47¬:pAsss2*4?5<>? p¤s2@5<>4<c?6«<ÿ2±§p§`<²8n?·?¶$8j<>2µ=>=Á=c4§`8B8,?^p2D247¶:A.<c6¢W4§p8n<>=²¢Ws§.54¢W:¥§p<>8,=>\:`®A,6R8,25:¥§p4µ4¬:pAsps2 4
25`§`8j8B2@§.:¢'AnAn:`¬ ¢'4±p¶$54<c?525?5§p<>AnABs:*2
?^25<>:n@<c2@:p5As¡Ss«&S;¢'A,<>:p2@4¡]W2@47s§`¬GM8jG s22<ÿ.2¬i?5p8U¤s2@5¤D<>44µ?S« A3?5?5<c¤`=c425A(pABp¤p=>4³25§p4µ:pAss4¬An54
25¢W§`§p8B<c=²:°2:p§p¶·As47AS:s« 48
?!:pABAs?^6sps4=><c472<>¡n?A,5s64An4.8*pð ¤p¢W§p=>4<>ÁC=²¦¦j¶AB:p:`As44*s¬!4§p`A,AB?^6=²2ss?5<>:pp4¡B¡¥=><ÿ@2472@8,§p4=>4 =Oð A,6`=c4<c?52@s8B?R¹p6£?$p´s=>254=sAi?!¢W§p2@A,§p<>6=>4!s8,@¢'=>47=@:(4478,A,=>25476`<>¬ABs:474:3¡BA,2@@6?474·2?^¶¡B2@8,Ai@45:p258j<>2@47:p47¶ ¡
¶25$§`<ÿ8,2@§2!<ÿ2(8B¬:`i8UAB:`8,4
=²?^A+25§`¤D4 4*ì :p?54s¢'¹4?@´s?@48,?@AB6258,A¥=>=S@44=c?54< ¬44725:3§p2@4*??:`2Wì 478,¶ 525<>¢W:p§p¡<>=>¶$s@<c2547§ :ì 2@«A+ø³547:`2@¢'8,4µ<>:8,¡n258B§p<c4\:¦nS:p4AB^6£254<²¢'¢K42
=c4 B47úg=:\¢7ABAB¬Wsp4@42@?@A?^<>AB47¹*:« ¢'<>47:325=>*s4'2@47@¬<c:p4±¶$§p4:*2@A@4?5< 74B¦3¶4µS?^4³2¶·A8B`s<ÿ2@<cAn:`8,=D:Op¬
¤S54746£@47?Q@47<>:`:°¢744?8n¢W<c§:2@<c:3§p254458,:S@8,@8U=*:`8BAO:`p\4B«¥25§pø³4Q:pAB4i25§pA,4625§`25§p4*4Q:O:Opp¬!¬(¤D¤S474W$?QA,<>:`6&s6£p<²¢7=c8j=R2@¢W4§p?<c=²25s§p@4*47::O« p¬(¤S4!AB6:Op=>=
25p§`D8,`28j8B25§p4\=c4i=p?5AB5pD4 ¤s3472@Wp58j<c<>@25447<>?AB¬:S474´p?7:n«¥¢'247ª·pAB2AB6$:`AnS:p?54<²4s^6£¢'474AB!¢K:32!8+2W8,=>2547<>@:! n<c474i2=¶¶$¢7A³AB<c25¬4§º=c4p8¬@447@?@AO:3?52@A,?5?<c2An8B:AB:`6$Q¬ip2@8U47§p¡B4$@=c47544\48B¬ið 8,25« <>A+:pp<c n:``47¡µ^@2@?5®§pp47¤s47´O2@5D8B<>47?@4?^:SABp?^:p¬<> B=> 44
AB54:p?4n2@«5`úg¢':`25?5p47@5<>25:p<>:p¡®¡.AB8B6:+25§`474.=>47¬2@547<>4B:3«¸2±<c;
:32@AjA*¶Q25¦·§`¶$4!§pAB47:`:¯4'5474=>¬47¬Aj O47:3<>:p2µ¡?5p25§p¤s4+2@5<>?@4!8,¬¶$<>4.=>=Rn=>474n8n¦¶·25A48*AB:S¢'¢'An4+¬8,`¡3=c8,4725<>: 4
§`s478U=> B4'42@<c2@AnA®:`?¢'AnA,¬6&25`§p=c<²47?$2547`=>8B®^2@@<>47¢7¤`pp=²8,<c=²B254§`*4*<>?$25@25<>§p4B«4547#6£AB?5@44³3 np4747@:S*¢'4*4'´sABD647:`8B=ÿ?52@<c47 n@4B:`« 8j2@<c:p¡+<>:`?547525<>AB:`?(8,:`
AB47¬ps¨R2A+©@ª¢W4§ps<c25=²S@s<c¢'@44i472@:A2@«
§p¤S4\1O4<>@¬S<>?54<c®=²^8,6£@4AB=>¢K6
B2¦` B« 8i4þ5:`:`AO4'AOp´sp4S4$<>4?<>:`?·§`?5s<c8, nAB=>4* Bp4¤`p=cx4ABp(:p8jAn=>2@.:p4*=><c!AB6D<c<ÿ6D2³47W2@§`§p8j8B2@4
<c?³An@:`48i?5?Qp?^p¶=c25¤S4\<>:p?2W¡Qs8,A¥:3:p25As:p<²s8,AB4
=R2!:3§`@`8n4 ¬!3?p6£¤D47<>547¶ 4
A,<ÿ6&6·254§p¬4±sW28j®2@<cA¢W§pA,<>6&=>p:p5AB4:p:« 4¬ p42*`?5¢W4(§p<c2=²¶s@A47:.25§p25@Ai4?58,§p=>An==>¢Wp§p? <>=>pyn5{B4:.É <>8,::S25§p}Á4 w B3[,} « G>F :p:pAsAsss44Q<>?Q<²?$s8jAn2$p=>¤p4=>8n4? 2
}xa'sw 3VKV5} F7« L`X :p:pAsAsss4!4Q<>?<>?
=c4§`?58,?
=> B254§`\8B: <c6Ryn2@{B§pÉ4«$W8j2@§p<cA4?5A,46& j:p8,AB=>:pp44?¬8,p@42.s¢W4'§p2@47<>=>@p¬54<>:p:\42@+A*4'8,´s=>D=47¢W@§p<c<c¬=²s47@:3472W:8,=><>=c:.n«·2@§púg: 4
AB¡Bp<> Bµ4Q4'8´sD¡B47AO@As<c\¬47D:3472W5?76£AB¦Á@¶¬i48,6£:`An¢7p4B:`« ®25§`8,2³2@§p4!2@§p@4?5§pAB=²p?QðBó 6£An y3{BÉ 8,:`ó 6£An }xw 3}
25ppAB@$4·?5<²¬i?R52548,Aµ=>=>8,=D`25:`<>?5 BAO4·47p8µ=>4*?s?5< ¶·x<c¬4µ47@p:p47=>4:34Q42¶*548U:`pA@2@48nAi?5p475s:34<c2@s258,<>`25AB<>¢7:`AB4³8B:±=x2@6£§p`AB48j2@?5<>8`:3`¦s258B47?^¢7@<>4µ:`:`¢'8B@4µ4 =n3:p<cp2As<>s<²@?474¬?&¢W§p¶$474:3<ÿ8B2@2@i§!?25ABABAi:`6R=c2@s±§p424¢'¶<²spA³4µ8,¢W2@¶$8§p<>§p?=²s472@:\55S425:¢KA «
5¤p4<c:S?^< 8,7@4!(25:p§pAs4(s:p4As?s<>:4B«Q25§p4§p25<²?@<c4n¶$«R<>=>ú=&2¡n8,<c=² n?^4(AQ8\@4:ppA,`2@¢'<>4¢7?48,25¤`§p=c4425?^AB`2@8n8,¢'=D48,¬@4ABp``:n¢K2·2@<cA,An6Á:¬¦x<ÿ476¬2@§pAB47@(@4(8B8B=c=>5As4(¢78j¬i2@<c8,An:O: ¦
?^¢'<>As:`s¢'4Q4?^¢W<>§p¬<>=>p¥=>4B8B¦p5¶W8U4±s§`?$8U¶$ B<c4±25§®:pABAn2$:p¢7=>.p@25¶4:nA*2@=cD\AB<><c:3¬25p47W=>47?³¬:p47A\:32@=>AB4:p.¡n2547§p³<²?$4'´sAn<>s?^225<>«µ¬úg<:¥8jAn25@<>sAB:4
« 2@A\B447+2@§p4
+
.
}
}v
+
} .
.
,
'.
c
i
c
.
R
.
ô
7%&¯
+W
¢'AB4¬§Sp8U@4 B?@4?5<c¢'AnAn:¬¦``8,8,@254§¯8Bs:`< D¯45S44:n^2µ6£4¢'¢KAB2i¬=c4p B@44=
?@?5¢'<cABAn¬:p?^25@W48j?@2@?547<cAn¡B:<>4¦?8,6£:`An¯
¤p`<>8,:`258,§ò@*8,2@:`5º<>4?54=>¬8,´O445»4Q`=>478, n2547§ =
¤25`¢'@AB8B4¬?58,4°p@ï4p?@8,÷j?52@ñ<c8«An:`?^25«p@5R`25A*¢K§p2@4p¡n5<c@¬ n44!?AB¦,@8,¶·4B:+¦`4³¶·<>:`8,4µ=²s?^<²25A±¢7W8,<>8,¬25:S<>AB?^`=²:+=c8j42@¬A,46.42@:325§p25§p4!44!\D58±4745O@6£8BAB¤`:`@=>¬is8nAB¢W8,¬:`¢7<2574Q@4475(4Q4=>¤`<>8,¬<c25:`<>`8B B=c54±4¬25A.?^44:3¢'8,2@ABW8j¢W¬2@§!<c`An2@8B:554<²6£4B?55¦nABAnAB:s¬
2525§p@p4i4±2@254'A´O2525¤D§`AO4QABAB@<cA,¡n6<c:`ª·8BAB=x@<c¬¬47p:=>47¦¬¨474:3<>?52W478jW25?^<>ABAn::¦p¦AB8B:p:`=>° Å$p´s<> B<>:p4?^¡i2\?^ïAnj¬ñ4µ2@A¥¬¼n<>8U:p jAB8`$« ¤`p ¡n4i?« 25@<c425A¥n4747
¶·úg:n4*2@47#§S@8U:p B¤p4'4*2<>:`@¢W8,AB§p@pA325?^<>425:p:@¡<c4.2W25A¥8,¬¤p<>=>8U:`4?5?S¦nAB48B6¢K:`2 ¢'(ABµ¡B`471`@An?5ª·4*¬ú^ú§p4'25An¢W@=>§S<²»¢·8,WD8B8B:OAB¢K<>2@:3472Op<>:`?^8j25°2W@8p<cA,:`«&6
¡núg?:¤`¦&<c8n:`?5p§p8Bs5AB°<c5252!<>pAB¤p8,:<>2@:`¦B8`¶·8B«¥54$úg4:» U?2@8B2@5=c§p<>S:p<>8j?¡n25?4?^256£`52@Ans§p¬ n4 ¦
S4^6£ An54.¬i58,47:S6£@¢'8B4µ<c:p6£AB4$p6£:`@AB<ÿ6£¬ An5¬=cAj=>¶\s=>47<² B?2@45=<>¤pAnss2@254<>¬< ¤p<>8j:`258,<>AB@:S\?7?^«25@úg<c:`:p?¡32@?74« 8nÁ¦¶·4.¬i8Bs48,:»4 DAn^2(25A
¬¤p=c48BBAB4\p2525<>§p¬4< ¢'8,As25s<>4AB:`?^?³<>¬2@§`p8j=>42Q8,8B@:`4!»=><c4n8B47?5=>2@25AA<c¬i¬8Bp<c@:3Aj2@ B8B4!<c:¯25§p8,4:`ºS4¬^6£AsAns5¬i<c6£B8B« :`¢'4(´pAB8,:®¬¬ip=>8B4:3?(+A,6¢7pD5An@?@47?^:3<c2
25S¼n§p8U44 j^6£8Anwtx5<>¬¬zjmp<>`:prB=c¡*tD4¬B4'oO´s4{3:3pq 2@=><²8jAB¢'2@<cD<c2³An47:`¬W8j?*472@¬AB<>:`AB¢7¦,@=cS`4p^¬4 6£An8B5:`¬8U8, B<>¡nAB:p47<²¡Q¬s<>6£47:pp:3¡°:S2¢K¦`?^25O6£<>AnAB:`:\¢W§`4'<c:p´p5An=>8B<>:p¬:p< <c`:`4=c¡(¯48,¤O¬:Si4'25@5§`474`AO¬?5 <cAj:` 3¢7¡*8,<>:p=>AB=²¡Q¤?7¦$@448U¢K¢7 B2WpAn?7@¦x<>?5p<>8,<cAB:`:p:¡ ¦
§`8,s8,2@WAB¬i¢'8jAs2@s<><>¢:p8,¡¥=>=c*?2@¤O5\<>:p¡8¬ABDAB47@W4Q8j2@?^<cAnAnp:`§p?<²« ?2@
<>¢=>8j=2@4AB6·2@¼n§p8U4 j?58(4i47AB:Os O2@<c<c@¬AB:p< ¬8,254<>:nAB2:`« ?¢7ABp=²¤S4\S4^6£An5¬4
,
7
m8
.
'.
:
,
1.
O?
l¡O¢£
`AB:8,§p54*2525§p<²?^¢'4 Dp47=²38,4`8B¦n=c25A,<c§p26$¥4±8DA,p6·475525An6£§pAB¡B4i@W¬8,¬¬-8B4:`¬<²¢'?Q4³An§p5A,+<>6R¡B25§p¬i§p=>4±8B:`<>p:`8,47¡n?^D447^47¬2$:`47s8,:34:S2:3\2!?^ssAB4?^:25=c47425¬254µ§p«4\ABDú5247pW:3<²8j?±2@25<c<>4¬AB8B:S4i?5?<>4747pµ:O47 O25D<>A+547An:`p:pp@¬4?p47§p<>:3¢'422µ8U«i O2@<c§púg=>:4
S?^448,^W6£An¢W§.5¬i2@<c8,¬:S¢'44<²A,?
6s`8$5An?54S8,AnW^¢W2@§<cAn¦:`?^<>8,:`=x¢'2@4Ai25§p25§p<²?4(An8US B447@W8,8,25¡n<>AB4Q:µs5474 sn2@`§+<c@A,46?x25:p§`A4(¬?^254@¬`AB¢K2@@p³58,4n=>«=>AO¢8j§`2@4Q<cAn25:<>¬«<c:p§p¡34?
54SAn^2@§p447.:<c:8Bs2525§`An4Q¬4'8,´s25S<²¢45¬<>¬47¬47:3AB2@@?$µ8B¬54Q8B:`8n8,¢K¡n25S47¬8,=47¢':3=>2As¢W<²?`25?5<>4¬4¦?$<c2RAn¤D:48¢7AB¬(¬p4=ÿ?2@<ÿ§`8,`W?5s47
4Á?525sA
?2@447?¬2@<c¬i« 8,254
25¶$§p<ÿ4
2@§p @<cp:¯:p:`8¥<c:p¬i¡±8B2@¢W<c§p¬<>:p4³4\A,6Áp478,D:*478,:`=>s¡B4An:35<c2(25§`¬¬47¬¦n?^AB<>:`@¢'4³¬8±8B=>8B:`58,¡n¡n447S«¥8,52§pA,476x@254*§p4<²?(5p¢7=c:`4:p8,<c@:`=c¡±258¥<>¬:p4³44<>??^6£DAn47(:38 2
??^2W< 78,4:`p¬8B47@¬ºAB¬@48B¤p?5p=cAs@¢W4Bs« ?«-?^§p<>¬<²?p¬=>448B¬?54p8B@?54.p¢754ABp<²=²?»25¤DA»4.¢'4An?p2@:3<c¬i28,25§p2544+º8,¤S=>=>ABAO25¢§¸8j2@8,<cAn:`:`8B?=c3A,256µ<²¢78Bp=c< =>x°47@8,47:`:3 2
4'¢7´s8B?5S445A,<>6s¬8$47¡3:38,2@@8B¤`=c=>8,B¡n« 4&¢7AB¢7=>¢7=cAB4¢Kp25:342@µ<c:p47¡.:O O6£AB<c@±AB:p¬¬47¬4:nAn25:`A$¤p=c=>AnAs:p¢W¡BO4?³Á2@5§`476£8j472@478,:`@¢74(4pÁ4¦8,<>?=>=>¬AO¢AB8j@2@44Áp<ÿ¦Á¹*An¢'³`<>=ÿ:®2&¤p2@§ps42
A,:3¢'=>6`4¬!8,8,s@¤D=>2@Q47ABµ¬iSA,A38j6?52@?5<>An<c¢¤`¤ =c¬4n4«&¢'42@¬R?³A±ABA,@<c6.:325s¬i4< D58,`4:S55478,42R:3¡B42±2@§p@?5?4< « ?54$4 ?³¬4!8,4=>2@8B=c8,As?5n¢7p8,4Q@254254?&§`+¶4(¤O4·?5.<c:p¬42@4§ppÁ4=>4!¦n8,A,8,=>6x`¡B¢'ABpAB@5<c`A325@8B§p?5¢W¬ 4B§¦j@A,4256§p8B¢7=c4<²AB?p:O2@<>:3p¢·25¬!<>¬:p¤D¡iAs47sµ2@47§pA,=²4?6
25=c4p8U@ B:pú424?<>¦,?µ<>An:3?5s25AB247¬@25:`47Ai8B¶$=p¤D§`:p4Q8,As`2s?^s447?<c6£¹ip¦O8,=¢7:`p<>:=c2³478,2@ j@A*8,W8U=>¬`O8j?42@8BAB<c:`?56p¡(¢W@§p4±2@<c§p=²254Q§p4SDAn47?^5<c< :36£7AB2@4!@47¬A,W?768B« 25:`§`¢'4! n4±47p8,:8j:S2W25\8*§p<²2@??^p25¢':p@@`<>`:p¢Ks¡2@p4$255§`<>4n:s4¦D6£AB?5¢'<>@As:`¬is¢'4B8j4Q«252@<>AB§p: 4
<c:32545:S8,=D¬4¬AB@(@4 3p<>54¬47:32@?A,6@4'6£47@47:S¢'4?·8,:`.8,@@8Us?<>:.¼38U j88,@4
:pAB2?5S4¢'< `4
ö
=
+
.
j.
4,
@
8
c<¶$:§p2547§`@44i8Q=>8B@:p4'¡B6£4`58B4¡B:`4¢'4
s4<²?·S:p54<ÿ2@p<c5An4:?^«\4:3254§p4i¤O¡ni<c n8 47:ðj:3`¤`¬!<ÿ2¤D<>:34725W4?Q¡BS474¦n^2W8B8,:`<>*:®8B2@:*A¥8,8,@:@8U<c(¬¤3p=>47¬8Q4@4':n6£2W48j52@4<c:`An¢':4 ¦
25?^A< 74±¬A,46&¬25AB§`@48B8B¢K:`2@`®8,=8B:®`8j<>2@:382547?^¡n2547@±`¢K?^2@Dp4@¢74B<ÿ¦s6£O:p<>AB:p2$¡.2525§p§p44i?5?5< < 4±4!A,A,6&6·2525§p§p44?^258,An@5W48U*B« 47=> 47¬44AB:n:`2W=c?7+« ¢'Anp:32³2@§p4
<cA,:`6?52547§p52@4(4?³478,=>S47=>4=¬^AB6£47An6&:352@2W¬ §p?
4!<>:®6£4AB=c`84.¬6£p47s=>:3< =&D2@`?458j<c42@:3:38\252\A.?2@258,54:¥`?2+¢'425¬p?54 @p34 2p`4725§`:Sp8,¢'8,42³2@?8*<²??^258B@=c~O`=&m ¢'?^¦254p8,@Won4B¢Wm «§p¦4?$on8BoUm 54!?5¦
4?58B8,`@:S¢W¢ §p¢'44?@??^Æ 6£6£pAB«³=Z« 48B~soU¢W§m
5?^44 ¬n`Aj47 n:`4¢7?µ4.2@AB§p64*<c47:S=>?^474¬^2@4<c:nAn2W:`?7?(¦&8BAB:`:`º4i¤3p47=>4'AB25:`<>AB4B:S¦R?76£5« An¬ `AB25§`44\8B¢Wp§¯8j2WAB8+D?472@W58jS2@¢K<cAn25`:»54n¶·« 4.@Æ 8B:`s<²An?!¬8=>°W8,47:`<cs25§`An47¬
<c?:`2W8,?54755252
<>:pAB¡i³25s§`474!=>4'¬2@448n8,?^:p@4747=>47¬¬447:n:32
2
¶2@4§`8jD2
475<²?6£AB¢W@§`¬ An?547¦:8j2
¦ W8,:`s@An8B¬#:`s6£An@¬ûAB¬ûpx25§pp48j2@p48,?µ2@?8i2W8,?554'252<>« :p¡*4'¶$6£An<c255§ 4
8AB,:»D474W¬8j25p<>AB2:S»?7«p8jp2WAn8®±?^8B25=c@=`AB¢K2@6·p2@5§p4n4«?54i?^§`4 4\3p¬47:`48n¢74?^p?±@ì ¶47¬44¬:n248B<>?5?(p@D4!4752@6£§pAB4i@¬47=²48,°`?5AB4: ¥ì 25<>¬¦ 4B« pAnp xp8,254 ¦
o<c:`U¢7 =cS¦s8B4:`Á ¦`¤SÆ4¢78,S¶?^4*4±8,<c2=²?5AsAO¬4?54: 8B?52p8B5=c4=>As2@¢7§p8,4i254Q:Op8,:O¬!*¤D¬4747¬AB6An¬5n4« ¬An58,=>=cAs¢78,25<>AB:`?« onm <>?Q:`~sA,m 2
25Ä
A+=c25¢'W An8!¬4µ1O```<c8B?5=>44@¢$25ú5§p2@ú§p4¶$4Qp<ÿ¼ @2@AB§i¡n2@¶8B9¬-A(¼38Uð,<c jõ :38 j2@A³ ¤O47 B3425$=c4iAnpp¢7@AO¬Asp¢'4744B:3?5«i2?5AB±W§p?<c2 4i8,:`4' B.´s4D@ó ?547<>@ABð <c:¬ 4ì ¯:n« ì 2W«?±ABóQ6¶·¢7Å AB45¬4 p@<>p«=c4: 6£AB4@:AB`¬û?5841p1pÄÄ2@§p;; 4
¼A,6¤p<>:`ì 8,«@ì «Ió?^255@p<>:3:p2@¡n<c?
¬6£4!5An4¬ :O 3úg<>:3@AB254:p5¬:`4'472:32
@AB¶$s<c2@25<c§®:`¡ip4'2@698B8,¤p`=c=ÿ42±?7¦ ?^47³2^251S<>ª·:pì ¡3ú^ú
?7«?^25@<c§`:p4Q¡3?2546£?@2±AB¬ p8j2W258*§p4¢'Anª:`8,?^=><²¡n?^8,254@
¢'AB47¬´32!p@ª·4AB?@?5¬<cAnp:\@4@?@4?5?5<c4An8,:W¢Wª·§AB¦s@8,p:S`\?¦Á¡n8\47AB?^¬2@8,47:S25p@<>8,¢³WSs<An7<c4:3+2p254'8,´O2@28¢'ï AnU5`ñR`8n?
?$6£s@474 `3<>p¢'425:3425=>+<>: `R?^4<>¡B¥`<>5:4±p÷`8,« 2@8
H8
,f¤
O¥
¦
§ ¨
¤
O¥
¦
=§ l¨
+
2
¦
2
+
=
©§ l¨
<¤
=¥
BA
2ª«;&
9ª
27
;
3)
O
O.
2ª«;
h.
7
Og¬
p®?¯x° ±²¯x¯x®³¢´
R?2@8B5¤p`=c¢'4 25pì @4?^?§p25Aj4¶
?2@?\4Á25§`« 4 8U4 n478BW=>8,?5A\¡n4¥¡n<c8, n:`4 2@<c¬¬8,<>:p´s¡n<c¬(?p6£AB¬µ<c:Ss?^474p^252@§`<c:p?+¡8B8,:`=>þ=A,2@6§p425§`?54(< 744=c4?¬AB46:3252@§p? 4°p~s8,m 2@K8 ¦
5?^474 25n@`<c447 3:`<>¢7:p4¡A,256 §p4¬ ¦ onm pK¦Bxsp48j=c2@47425? <>:p¡³Æ 25§p4K¬«AB§p:p4³425¤O<>¬QAB<>:p:`¡34 ?·?5§poUAB `R=>i8,:`¤D!4±S¢748,^@6£4'An6£5`¬=c=><>:p¡µ<c:38³254W58,`:`5s4725An4¬
?¬^<>:`8B¢':`48,¡n2@47§p¬4*47p:3x2
ì p?58,O25?^4i254AB¬D47« W8j2@<cAn:`?¦<>:S8,525<²¢'p=²8,¦Rs4S4:` B45®¬!`¢W§AB:2@§p4i¬47¬AB@
5?^4=><cO¡n§313¤`252@=>=>8B8n^¢W2@=c±Aj<c:p¶25¡\@4747¶$4B¦B8U<ÿ2@ n¶·§+474W258,:p§p¡BAB4!4·2542s¶·2547§`sA*8,2@¢7§i2AB258,¬§p:`4$`Á8BD¦,5472<²35?^6£An`AB:s<>@¢¬i8,¤`=>8B8,=cn?5:`4¦B¢78µ4·¬!p<²?8j`?^2W<>¢W8*¬§?^<c=>25=²Aj8,@¶·`«R¢K42@Rp¬i§`544$8j?7´s5¦S4<>25¬!O§`p4¤`¬=>258n@¢Ws4³8B47p¥2@52548,§4:`«§`;
8B2@AB?§p25844
254'§`´s8,p2i=²8,25<>:p§p44¥\?5¤3=c<>¡B§32@2@§p=c4µ»p¤D< 4'x254725@447*:`¢7S4³4^<>:.6£An58U¬i n478BW:`8,¢'¡n44
sA,6±47s52@4§O«¤pú2=>8n<>¢W?p25@@AB47¤`48B?i¤p¢7=>8,:`s:p`A,42i2@¤DA!4¥2@§p¢'4³AB¬<c254p@=>8,4'2@2547<> B=> 4
<c ¬4p=>¢747AB¬:`¢747=c:3S2Ws8j425<>25AB§`:!8,A,26s4725 n§`474·:@<c4:*O8B¤p:=²8B<>¬¢W¬i25@8j47254·`8B54$:`Q=²8,<c:p2@¡n?R`¬8,AB¡n@4·4=><>8,B¡n4
¡B¼3@48U?@ U?^8`<> B¦,4¶$`<c25?5§45AB46`=>¢'8,As25<>s B44=c<>!:p=>¢7<c:`An<c?^:p25=>¡S «
¬47=><c47¬25§p<>:`As8j¥2@<c¢An8,:=>=>8B?³:`8,:`¥<c:p=>p<>:p5<><c¬:`¡±<ÿ2@8B<c n54!4¢'@47As=²s8j4(2@<c nAB47s=>2@<c¬?^¬i< 8,8,=>25=<>«&AB:¦`§p254§p@44O¡n8B¤p<c:`=²8B?
¢W±AB¤s2@2W58,4<>4:p<>4¬+p¤O=>47¬5474:3¢'p2@8,W25?5<><cABAn::
`?^4?`§p8,4³@S47:38j2$25§pDAB¢7AB<>:n¬2@47pW@?4?@¶$?^§p4<²¢W§25@<c474µ´sp<²?=>8B:p<cA,:S2$?8,<ÿ2W:?8j=>8B2^2@5@¡n8n47¢K$2@?^<c n< 74µ4Q8B¢7=ÿAB2@47¬@:``8j8,2@@<c4 n\4
2525AA2@8(§p¤p4±<c25:S@8,4@8B*«?^48,W¢W§
2525@A¥474B2@§p« An?54\ n47AB:6$2525§`§pAB4.p¤p¡n<>§:`8,25@§p4\?58U4 n8B47@W¢W8,§¡n42@5s444?s¦&25§¯25§p8,4.:`4'´s425§`¢7s4.25<>?5AB< :°4i2@A,<c¬6254§p?(4*8B255@4*<c4\¬i8B8B554*n4¢7sAB=>¬`?58B=>Aj@¶·8B¤p4=c4 «
õ
&µ¤
¶&v¥
+
+
)
«&v¦
<&§ l¨ )
2
4
)
)
·H¸º¹3»¼¾½l¿²À/Á³ÂÄþºÅÁÇÆHÈéÉʺ˺˺˺Ë=̺Æ/Á³Í3Ì:Î1ÎÆHºÅÁ?Î:Ã:Ï
»:ÎÐHÂ3Ñ
Ò3ÌHÂ
ÓHÎ3Â
·:γÔ
ÕºÐHÖ
×+Á³ØHÎ
¸ºÙHÎ3ÅÚ½:Û3ÜÝÉÇÃÎ:Þ:ÏÉÇÃÎ:Þ:ÏÉÇÃÎ:Þ:ÏÉÇÃÎ:Þ:ÏßÉvàHáÏ
ã?äåçæÚèHË
èlåçË
éåçæ
éåçê
ëåçë
ã?˺˺Ë
·:Î3Öºá:ì3Û:Þ?àĺÅHκÎ
ã³èlåçËíã?ä
ÒHÛ3Â3ÑïHÞ3ðÇÔÐHÅHÎ:úÃÎ3Ö4ºÅÁ?Îßã?ÊåçêñéºË
âºÅHκÛÐ
îåçî
êåçê
ã åçæ
éåçæ
ã åçê
èlåçê
æåçËòã³èlåçî
ã?éºËºË
ãºã?êºê
ÒHÎ3źóHÎ:Þ¾Â-ôºÒHõ
îåçë
ä
Êåçæ
Ëåçä
èlåçË
æåã
ã?æºë3è!É?ãºã?Ë+ãºÏ
·:ÎHì3Û3ÜHÎ3Ö-ôºÒHõzÉʺËHö3ëºÊ+Ï
éåçË
Ê
Êåã
Ëåè
ãåçë
îåçæ
ã?éºëºæfÉêºæºæ+Ï
·:ÎHì3Û3ÜHÎ3Ö-ôºÒHõzÉéºÊHö3ëºÊ+Ï
éåçË
Ê
Êåçæ
Ëåçæ
ãåã
îåçË
ã?éºëºæfÉêºæºæ+Ï
·:ÎHì3Û3ÜHÎ3Ö-ôºÒHõzÉéºÊHö3ʺË+Ï
ãåçæ
èlåçî
Ëåè
ãåã
éåçä
ãºã?ʺÊfÉêºîºË+Ï
è
½H¸º÷:ï÷º¸H×3â¿Å:ð¾ÌHÂÁÇÆHÈ-ÂHÛÀì3ÎzÉîºä3èHëºË-ÎÆHºÅÁ?Î:Ã2¿«îºäºîºæºë=̺Æ/Á³Í3Ì:Î1ÎÆHºÅÁ?Î:Ã:Ï
»:ÎÐHÂ3Ñ
Ò3ÌHÂ
ÓHÎ3Â
·:γÔ
ÕºÐHÖ
×+Á³ØHÎ
¸ºÙHÎ3ÅÚ½:Û3ÜÝÉÇÃÎ:Þ:ÏÉÇÃÎ:Þ:ÏÉÇÃÎ:Þ:ÏÉÇÃÎ:Þ:ÏßÉvàHáÏ
âºÅHκÛÐ
ã?ëåçêñî3è
éåè
ãåè
ãåçä
ëåçî
ëºæºë
·:Î3Öºá:ì3Û:Þ?àĺÅHκÎ
ã³èlåçäñéºæ
éåçÊ
ãåã
ãåã
èlåçî
êºé+ã
ÒHÛ3Â3ÑïHÞ3ðÇÔÐHÅHÎ:úÃÎ3Ö4ºÅÁ?Îßã?äåçæñé3è
æåçë
éåçË
èlåçÊòã?æåã
ÒHÎ3źóHÎ:Þ¾Â-ôºÒHõ
Êåçäíã?î
èlåçæ
Ëåçä
èlåçæ
·:ÎHì3Û3ÜHÎ3Ö-ôºÒHõzÉʺËHö3ëºÊ+Ï
îåçë
ë
Êåçë
ËåçÊ
·:ÎHì3Û3ÜHÎ3Ö-ôºÒHõzÉéºÊHö3ëºÊ+Ï
îåçë
ë
Êåçæ
ËåçÊ
·:ÎHì3Û3ÜHÎ3Ö-ôºÒHõzÉéºÊHö3ʺË+Ï
éåçê
Ê
èlåçä
Ëåè
êºé+ã
äåçî
ã?éºæ3è!Éä3èºèÏ
îåçË
ÊåçË
ã?˺î+ãÉäºî3èÏ
ãåçæ
èlåçê
ã?˺î+ãÉäºî3èÏ
éåçî
èlåã
êºëºäfÉä3èHî+Ï
·:γÔ
ÕºÐHÖ
»º·/ø³ôºômù¼ôº÷H×x¿²ÐðÁÇÆHÂ1ÖHÛ3ÂHÛzÉ?ã?ê3èHæ+ãj̺Æ/Á³Í3Ì:Î1ÎÆHºÅÁ?Î:Ã:Ï
»:ÎÐHÂ3Ñ
Ò3ÌHÂ
ÓHÎ3Â
×+Á³ØHÎ
¸ºÙHÎ3ÅÚ½:Û3ÜÝÉÇÃÎ:Þ:ÏÉÇÃÎ:Þ:ÏÉÇÃÎ:Þ:ÏÉÇÃÎ:Þ:ÏßÉvàHáÏ
âºÅHκÛÐ
ã?æåçëñîºé
ãåçË
Ëåçë
Ëåçä
æåè
îºäºê
·:Î3Öºá:ì3Û:Þ?àĺÅHκÎ
ã?éåçäíã?ë
Ëåçä
Ëåçæ
Ëåçæ
èlåçé
èHæºë
ÒHÛ3Â3ÑïHÞ3ðÇÔÐHÅHÎ:úÃÎ3Ö4ºÅÁ?ÎÚéºËåçäñîºË
îåçë
ãåçË
éåçÊòã?ëåçé
èHæºë
ÒHÎ3źóHÎ:Þ¾Â-ôºÒHõ
êåçêíã?ë
îåçË
ËåçÊ
éåçéòã?éåçé
æºê3è!ÉgèºèHé+Ï
·:ÎHì3Û3ÜHÎ3Ö-ôºÒHõzÉʺËHö3ëºÊ+Ï
æåçäíãºã
éåè
Ëåè
ãåçæ
äåçË
ʺäºéfÉgèHʺé+Ï
·:ÎHì3Û3ÜHÎ3Ö-ôºÒHõzÉéºÊHö3ëºÊ+Ï
æåçËíã?é
éåçê
Ëåè
ãåçé
ëåçê
ʺäºéfÉgèHʺé+Ï
·:ÎHì3Û3ÜHÎ3Ö-ôºÒHõzÉéºÊHö3ʺË+Ï
Êåçé
éåçî
Ëåçî
ãåçë
æåçÊ
Ê3èHêfÉgèºèHÊ+Ï
ê
á:¼º¼úã¿ÂHÎ3ܺÂÉ?ã?æºæºéºé-ìÁÇÆ:Î:Ã2¿9ã?æºÊ3èHém̺Æ/Á³Í3Ì:Î1ÎÆHºÅÁ?Î:Ã2¿«ëºæºäºëºëºËÄÞ?Ñ:Û3ÅHÛ:Þ¾ÂHÎ3ÅÃ:Ï
»:ÎÐHÂ3Ñ
Ò3ÌHÂ
ÓHÎ3Â
·:γÔ
ÕºÐHÖ
×+Á³ØHÎ
¸ºÙHÎ3ÅÚ½:Û3ÜÝÉÇÃÎ:Þ:ÏÉÇÃÎ:Þ:ÏÉÇÃÎ:Þ:ÏÉÇÃÎ:Þ:ÏßÉvàHáÏ
âºÅHκÛÐ
ã?æåçëñîºé
ãåè
ãåçî
ãåçî
êåçÊ
îºîºË
·:Î3Öºá:ì3Û:Þ?àĺÅHκÎ
ã?éåçëíã?ë
ãåã
ãåçË
ãåçË
æåçê
îºêºë
ÒHÛ3Â3ÑïHÞ3ðÇÔÐHÅHÎ:úÃÎ3Ö4ºÅÁ?ÎÚéºËåçéÚèã
èlåçË
ãåçæ
éåçäûé+ãåçé
îºêºæ
ÒHÎ3źóHÎ:Þ¾Â-ôºÒHõ
ã³èlåçîñéºä
îåçÊ
ãåçË
éåçîòã?æåçê
æºë3è!Éîºê+ãºÏ
·:ÎHì3Û3ÜHÎ3Ö-ôºÒHõzÉʺËHö3ëºÊ+Ï
ã?Ëåèüéºî
éåçë
Ëåçê
ãåçëòã?îåçä
æ+ã?ËfÉgèã?é+Ï
·:ÎHì3Û3ÜHÎ3Ö-ôºÒHõzÉéºÊHö3ëºÊ+Ï
ã?Ëåèüéºî
îåã
Ëåçê
ãåçëòã?îåçé
æ+ã?ËfÉgèã?é+Ï
·:ÎHì3Û3ÜHÎ3Ö-ôºÒHõzÉéºÊHö3ʺË+Ï
êåçËíã?ä
éåçÊ
Ëåçä
ãåçÊòãºãåçê
ʺäºÊfÉgèHË+ãºÏ
R¢'AB8B¬¤p=c`4 8nì¢K225@´s<>4QS5445p<>¬5447?^:342@:38B2@=R8j@2@4<cAn?5:p=c« 2@?«µ§p4?5< 4 `¡np54?
<>:®`8B54:325§p4?^4?@4'6£4[email protected]*¬An54
,²
%8
ì
sp§p@<><c?³:p<²¡+?<>¤D:`4?5¢478,525`<>?5AB4:`?!¶48,:`:p°474s4=c2547A25<>8,AB=>:`=cAs?«¢8j
254!=²?^:pA47¶ù2@§p4.¬?5474¬8BAn@¢W5§p4¶$?±§p8,47@:¥4*?^25=>§pAj4!¶·254@<c« 4(
<>?45:`4¢'?4*2@5¶`¢'4i25p¬i@48U
¬¢'?^§pABAn:SAn5p¢'4+=>=²`®47s´s¤D4¥S4i42@:`§`:p?^A,8j<>2.2@ B44¥Á25§p¦R254§`§p8BAj¤p:ò¶<c24725 B§p474´34¥2@¦D@`8n2@=>§`¢K8B2@8j<c:ý<c2An:ýAn¢7ABp8,¬Q:``<cþ¬8,@p¢7<²AB=>?^47¬An¬:¯`48,<>:n:ý@2W<²8j?^8°An2@<c:þAn¤p:<><c:`: AB8,6@8B¯:þ8?5`<c4:38,8B2@25@47§s¢W@g§¯:`¢'8,An25=³¬@4725`4®@5<c44:p?5As?5:ps4As¥4Bs« 4¥25@ú<c<²42?
§`A,6`8B2@?$§p?54$AB¬=>47 B4µ4p=ÿg:p¢':pAn4¬¢'p4?@5?@48,?5@?5i4Aj25 B@47<c@4n§p«&48BÁ§O`¦O??^<>¦,:`¶¢744µS¶44±^6£§`An8U5 B¬ 4µ?5<>AB¬¬`4=c4¤D¬A34An:3O25B4474p<c2<>:p8B¡µ?8n8¢K2@?^<cD O4<c¢725<><>48B?&=25¢7§S8n8j?^42
A,8,?^<>6@:`472@¢': §p4(42$25§`:p`4(48j¢72@:O4§sp?@g?5¢'¬(8BAB5¤S¬*4pµ<>:+@AB46?@8(?5=>4254@+8U<c B4Q2@45¶$?<>4<c<²25? <>§p?QºAn8s8,2
?5:`<c=>®¬47 Bp:O4=>p=4¬!¢'An6£¤Dp¬47:`±p¢'255A,<>4AB6·?5:?5<c<>:3ABA,25:465« 2@:S§p&8,4i<c=&:S:O:p8,pAs=>=c¬!sn¦p4¤D?µ:p47A,<²±? 2@4±AB6·25§`47=>8,472$¬«Q254§púg:n:®4(2W? ?^An< p74 ¦
<c<c¬:p698B=>47¢'¬2¦p474 :332W`8j8,25=<>AB« :\25§p4Q?5< 4³AB625§`4³`8,25§sg¢'An¬p54?5?54i25@<c4±8,:`*25§p4µ@4O¤p=²8B¢Wì 25@474µ8,@4B¦
<ca':`spVK<>V5 ¢F78jL`4*25X 4?^?(:p25`As25p§ps+44\25p8B§p:`p@D47474i25§p j¤D4.8BAB5?^<²p48,:S¢':3AB»2@:S?µA,AB6³6S25258,§p§`W44i8,¬W58j44'25=>2@<>8,47A®´O 4AB}Á6w :O¨Rnp}©=>=$ª25§pS254*An@<c<c=>:34nAj25«i¶447@?!Q§p25¤D4 AAB`p8,@:`=>?^=2QS`ABAn8,6·<cW:32@8,2@§p¬474*W47?(W258j47<>:»2@ <cAy32@{B§pA,É4 6
:pAB:súg:»:Op¡B=>=Á4:pS47AnW<c8,:3=25¦&4@25?§p42@A*¨8,©=>=ÁªS25An@<c<>:34\2@47¤DW47?§`<c8U: n425§`?4 ¤DB4?^[j2! 6£AnGcF (`:p:pAs<ÿs6£An4B5« ¬=>°s<>?^25@<>¤ps254ºp8,2@8`¦¤ps2
2547¢7A B8B4?58Q4B:¥¦?56£<c25An¡n§p:p4< D25¢7:p478,´O¡B:32=><>2¦?5§+@2@4§p2@s4*4'`´O?5¢'<2±25<>425AB§p:@44A,pS6D`425¢K^§`2@6£4
An<cAn58U:¬i B478B¢7WAB:`8,¬¢'¡n4(4`<>8,`?±@8,4?@25¥8j§i25<²25=>?^47A+69:p8B8¡B¢K252@`§AB8j@« B2@§s«Qg n¨¢'47AB4:¬ B<c4:p=&@2@¢74§pAB?@4
¬?54=>p+4@8B2@4?^5?@2<>?^469<>8UAB<> B:¥?±An¬=>@48B8nAn¤pp5=>44?
2547§`:p8BAn:p¡B8i§69258nA+¢K2@¬iAB
8B2B¶4A`25« §p4.pAn¨
©2@ª§p425@?5<>44(8B@2@¢W§p§+4iAn698nS?42@@48,?^252<>¦&AB:47 B2@4§p:<>?µ6£AB@±4s25S47´O¢K252(<>ABp:®8j2W<c8p:« 8U Bp47ABW±8,2@¡n§p4Q4*sp47sx2@p§®8,25<²4?
AB¤pD<c:S478,W@8j\25<>AB?^4:S8,?$W25¢W§`§*4(2@58B4`4s?<ÿ2@AB<c:`An=c:`i8,6£=An¢'
A3p?2³8j2WA,86¶$@4<ÿ?^2@25§@`8¢K2@§`p<c¡n5<>§:p¡is42@¡B§p@4474±2@5A,<>4!6&@<²8B?µ:`¢'sABAn¬¬D:`4'42@?@<ÿ2@?7<c« n4!¶$<c25§¥2@§p4
s8,@< x4
47 ?^@An47§p¬:S47¢'4$:¸4:`?¢'A,<cAB:25¬<²¢'25<>4`¬8,8B¤p45<>=>¢':p4$An¡®4'5´p@25¢747§p47=²48js2@2@s4<cAn< ¶·D:`44?75=c¦3=34§p¶$:nAj2<ÿ¶2@§Q j478, n25@§`47<>8B4·«:3s2@p< ?(DAn4A,56
4'4´p:`2@8,§p¢'¬4+4?p¨<>=>:Q4B©¦B25ª25§`§p4·254 @8U<> B4Bo4¦@¶8B?^¡B4.4 4n:ps`AB44725s:`4.25¢7§254$§`«6£8,AB2(§p2@2@4§p§p5444
25¬8,§p=>=c8B4As4'¢7A,8,42@258n§p<>?AB472:.i@¨R25AB§`p©8B25ª:\<>:p¡*2@25§p@<c2W4Q4.8,¤pA, U2@=>8B4!§p547<²<²8,$?:3 jD2W8B47?755«º<²6£8,AB:3@2@¬§`?44¦p+8Bðn?$ó ¬(¢B`8,ôB:¢Wó§+¤S j698,48n@??5<>2@8B47474:3:.2¤O<>D: 47525&6£§`AB<c4¡n@p¬iðn5ó ?(4B¬(ópôB«ó`¢W j§º8,@=><>48B?@:n?2¬25§`478B¬:®AB¤O@
25?^4'<>AB´O:2R«·<><>?
¡B` B§p54744@*8Bô³¬?5?^¬§`AnAjp8B¶
:3=c= 2
?R¬A,25§`644Q¬¬:347An`¬5¬!!AB¤D@p.475
A 8B`AB=c=>=>6R4As?<>¢7:n8jA,2@2@6S47<c@An25:`§p:.8,4
:`=Áp47:`< 4xAOp47p4@4.47?
:3258B2A*=cp=>As¬ix¢7p8B8j8j<c2@:32@42@4
.8B?^<cAB:.4 :p325=>p\§`474:`?5=c¢7=c<>44¡B B?&§342@6£=An=c*¢'An47¬´p:p¢'`¡n475=c4<²4?^p?§ ?
258,§p@@48U:Osp?¬!¢'An¤D:n472Wµ8,<>A,:p6<>:p=>4¡8U nAB4:p?=>«*
2¶AjA¶4747 n=>4747¬¦`47¶:32@4(?«·?547R4QA*2@§`¢'8j@42µ8,2525§p4Q488,¤p=>¡B<>:`An8,5<c@25\§`¬û:`AO6£p@4B4 ¦s32p¶4:nAi2@¬=c+478B¬=c=>ABAs@¢7\8j2@8,4=c?
=cA,As6³¢7¢W8,§p25<><>AB=²s:`5?4:8,@«4µú:p647¶·4s4.4 `?54Anº:p482@sA< D¢754458j42@:n4
225¬§`4µ47¬An¤ AB@4¢'2=>8U<cn2@?5AB47s=c6&2!8B6£AB:`*¤pAn<c:p:S4³8,@25A¢':`@AO4p8j42@4
?(2@¶·§p44Q¢'8,An@@p8U=>
5¬44s¬`¢'AB4@2@§p¬i48,:3:``8B¬!¡B47¤D¬47Q4:nA,26<²8,?@:p@48U4+s48BÁ=c=>As«¢7ª·8jAB2@<c¬An:``?±8,@¢'<>An:p:`¡³?^¶$<²s<c425§*@8B&¤p=c8,n¤`« =c4 `AB¶s4$4¬=c478U25<>(AB:`¢'AB?:S¦¢' B=>4`5s+4=>25<c2^§S258j=>42
2525§pA*4*õ=>`47 n?5<c47:p=¡¢7AB n¬47@pi@=c4<c?@2^?^2@<>=cAB4:@45?^425s@``¢7¢'425p?±@2@<c§p:`4*¡`« 8U B4@8B¡B4s47s2@§°A,625§p4*ì 25@<c4*?^25@`¢K2@p@4(6£@AB¬ ð
ú25g:<>AB:`&p?<>AB¡B¢7p=c42@@§p48,?Q@4±=c®ó5An4'8,s´p:`25¢'<> :p44¡(.p2@?µ¶·8,4i¤`2@§p=c4Q?54*47p4:O8,p252@§`¬!88,¤D8,2±47:`25Q\§pAB4256§`:O=>4µp48U¡n¬! n47¤D4An?47¬«Q47AB
25@6·Aj<>¢µ<>¶:3p472547 n8,@472@:`8!8B¦Á25=&25§p§p:`44iAO?5p47<ÿ2@4´O`258B8jW:`8.2@<cAn¶:\8,AB@<²@@?$®8Us+?5< SD8,44=>:3=>5AO42¢:n<c8j2: «
4.
Ä
BA
<
©0
+
'8
i
c
3c
«
8
@
<
Ä
*
¦
+
2ý
2ý
8
+
(
,
²
,
j
7
=
ìBì
554An?s2@255<>`:p¢'¡i25p2W8,@<>¤p:p=>¡±4!25?^§p25AB4
@254@<c4
<>:®S8U8iO?SA8j25§p« ¢7`ABAB¬47p´p@48,?@¬?^4p\=>4B2@¦B5<><>:\4&<²? 8,¤p=>4 ¦Sì25§p2@4!§p4¢7AB8U@ B544@?^8BD¡BAB4:Sss47<c:`p¡i25§*SAB46D^6£2@4§p¢K42
¨¼n8U© jª8i425@:3<> O4.<>5§`An8n:p?i¬s4747:3p2252@§ §p<²p?¦@8,4:`sSº¢K2525§`<>AB4+:®5<c4:=>8,s´O474s¯2@§®¨R©<²?ª4:p25AB@<c`4ì¡Bö§+s42@sA.25§ ¢'An¬«òS4úg:¸:`?5258,§`254!<>?i6£ABS³8,52525§p<²¢'4p4'=²´O8,
25=c4W B8\47@=4¢7?^AB25¬@`p¢K@2@4p?@@?^<c4:p*¡2@¢'5A3<>4?2?«¦p8B?$§p¢74(AB¬<>:``?5478B55254<>*AB:`2@?³A*2@8!<c¬2@544?±4±8B`5?^4n<>¦D:p<>¡i:An69:p8B=c¢K\2¦`?^8j=>2@<>¡B§§3¢725AB=>¬69p8B@?^425?@4?^<>AB6£An:³« 2@ §p44
58,?^4§p=²?^?^AnAQpp=c:p=²2@°?AB25<c¤S4:°4.25¬§`S8,A3AB2?5@?54i25<>§p¤p¬4³=c4\47:`¬8,25A<>AB B@4$<c®¬<>¬p8B=c@p=>AjAs=> B47¢7¬4*8j2@47@<cp:3An:2@:p8,:`2525<c<>§`:pAB8B¡¥:*:°25AB<>¶·6x¬25An4§pp4µ=>¤Os°AB¤D¢'p4\As¤`s?^=c<>25<>:p:p@<>¡!¡+¢'258B25=>:`®§`4:p?5§`4\48,¢'AB4=> OD?@<c?@47:`8,W¡!@8jB2@8,«\<c=>An¡B:`An?§O5<c`¬25§p?An¦R¬i5<c42?
¢78,@4'úg6£:¥`=cAB=>Bp« µ<>¬`=c4¬4:32@8j2@<cAn:¦x25§`4?5< 4!AB625§p4(25@<>4(?^25@`¢K2@p54<²?=²8,@¡B4
25§S8,:¥2@§p4?^< 74
A,¬6(4¬8òAB¢'@An¸5@@447?5`D5AB4:`?^s4<>:n:p2W¡»8j2@¤`<cAn<c:ò:`8B6£5ABý?5¤p4<c8B:S@8,¢W@§ý¸25:`@47AO4Bp« 4?
8BAj?¶s47<> B?@4¢'S¦?5?5¤34þþS<>: ?^<>:p1s¡ò4¢K8º2@<cAn¬: AB@4¶·¢'4AB¬¢'`Anp8n=>¢K 2
478B8,=>=>¢W<c=c§p¬As<>¢747<>8,:` n258j4\4*2@4¥¬8B5478W¬8U=²sAB8,?Q@@¡B¢'4AB`:3`?@2W8,8B8,¡B^<>2i4.:p<cA,:` B6µ4¡+525°AB§`:p4+?5=><c®¬¬2<>4¶=>¬8BA+!AB@2@47ºA®=>47¬2@8,§p=>4=c4As:n¢2W258j?7@«254<>8,AB³:?!«¦·¢?5<c8,:`§`:°¢7<>4?¤D4\AB¶·p4?^254<>47:p¬:°A°< <>=>8,:°AB25:p<>25AB¡n§`:¯474*¶$¬:p<c447=>=$4¬º8,AB=²@25?^AA
p5A `=>§p4?47¦O@4!25§p8,<²@?4Q2O¬iS8,4±:OAB6A,8B25=c§`=>As47¢78jD2@<cAnAn?@:.?5<c¤p<²?=>4QW8j6£25p§`54725§`476£µ@4 AB3sp2@47<c:3¬2< « 8j2@<cAn:`?« pABµp8j2W8i¶$<c25§®8\ B47@
<25c?^:p<>nAB¡+47:°¶?^425ï ÷,i4ñ« s¦`<²?¶$AB2@$§p5<>44'¤p5´ps48B2@¬<c2@An§p:\`4*=c4n?5?`¦p2@5¢WAB<>§\W:ps¡38B47?µ?258Bp§`5@44 4?5¢'47An:`@¬ O¡B<c=>p:`<>?55¡ §i4?525?5474 ´OD2¦¬i¦O5AB8B4:p?^:4³`¢7=ÿ¬2@As<c:ps<c¡n¡<c:`§n2¡<>:<c¢7:38AB2@p5¬As=²sAB`@¤S4¢74Q4³47S8Q n?^474`:Á54« sp<>5?^As25@¢7<>4¤p?@s?
¤S¢W§p4<c=²5·Q4AB?^:p< 25As7§*4sÁs4«
?ÁAnp2@úg§`:®¤p8j=><c252R:`§p6£¡(4p= 8,¢'S:Sp=c=3i@255§`§`4:38,42³=>@ O4<><c¬?5:`< ¡!`<c=c¬i:p4¡
¬8U¢7(4AB:3<>:`:32@p8j25@2@<ÿ2@As<cAn<csAn::`¦D¢'«R¶·4³4(:p§p475<²¶ý4?R¢'¬p¢W§`W8U?^µ<c=²<>i B¤D44:p=c¢'AsAns@¬44??54< 2@25§`AO4!8jA8,247=>=R´s8,=²ABS?^64A:`25:`§p?^<>474( B44*:p6£4725AB¶ A
255?^A*An4?^¬<2@7§p4Q44Ás:p«<²?^Asø³25s@:p<c4¤p4?³p¶2525§S<>8UAB8j³:`2³2@?$Aµ=><>AB48U6 n8B`AB=c8jAn<²2@µ:p8`¡i25¦sAO¤S25Aµ§`44'4¢7´s8B?5S`44?^8B4Q:`@?5¢W?5<c§+47 n n4`47@8,W48,25?5§=Á< ?^A,<c`:p6¤s¡³2525§`@AB<c4(D447?$pW¬ix8j2@p8U<c8,An*25:`4§`?8UAB<² n?RD42547AµW2@8jAi5254<>¤S?AB4Q2@:5@<²«µ¢K42&¢7p5§p4@<²?^?5?³<<>7 B¶$<>47:p<c=>=>¡ =
¬¬<>8B¡BB§34®2Q?5¤D448B@25¢W§p§`4i4?@<c¬¡n§3AB2µ@4¥2@§p4'<>:p´s¡D4725:`A¥?5<>s BAS4B¦$«¤`ú2s2.<²?Q<>: 8,=²?58,A.:þD`AnD?@?^p<>8,¤p25=>4425<cA+:325D4:`47@?5¬<c n4¥<c2Q475:O4 O?^< <c7@<>AB:p:`¡¬254A:32iAs¢725¢7§pp<²?
ABsDp47@<cW:p8j¡¥25<>AB?5:S48B?7@« ¢W§`4?±<>:°ABWs47±2@A®s<²?2@5<>¤ps2@425§p4\¢7An?^2!A,6@4?5< <c:p¡+¬An5447 n47:p=>8B¬AB:p¡
"
7'
=25cp4<>AB¬?5±?*4¤D?725§`«A,2@8B§®:òúg:ý<>25:n§`An2@8,p47¡n2\\47A,W47?³6Q´OD8B2@47§p:`@4¥+<>¬¤`2@44'8B´O:3=>8B2@2±?:`?^¦$¢'254@25ò<>§p:p4¡n¤p?25<c:S¦x<>¬8,25§p@4¥¯42@8U?5Aº4 B8,4DW@47¢W8B5§¸¡B6£4AB25@@s¬ 4744ns¦2@25§p§@4®4A,?5p`6=cD2525§pp<>:p4i8,¡»25¨4<>©:þABªD¤SZ472@47W52^8j<>2@4!2@47<cAn<²?µ:`?^?i¬!48,¶`W¢W¢W8B§§ ?
AB<c?^¬<>:¬p8B<c@=²sAj8,25 BµAn4±25¬iA¶$8j§p2@25§p4<²¢(:+4i¬¤p¬<>4:`An¬58,4Q@AB¥@¬i?^8,4¬i258,pW8B@¢W:`4§¥8,¼n¡n2@8U475 j¬484B47«*@:3p2ø³:3«p25<>¬§`¨4!47©@474'ª:O6£ABZ O2@@<c54B@<>AB¦x4(:p¶<>¬¬4!4p47:n=>´O2W47D?¬4¤S47¢'4:32±¢'2@25An8,§p¬254<>AB4(S:8U4 U5^48B6£An=c<c<>=²548,¬i?µ¤`8B=c§p4n:`4«¢'8U4! O<c§p25=>A4
¤S¶$?^`4§p8n=c47<>¢'47:4· n45 B4 425n5§``8,<c2@698n4725?¬§p24
47?5:3¨R42W8B©?@ªA,¢W§.6`2525AB@§p<cD4447¨<²W?8j©8µ2@ª<cAn¡BZ:`AO2@5As?<>48,@8,¢W4µ§`@4·AB@4<²8B¢'3=>4?5pA6£<>AB@?54<cÁ¬8B« :<>=>8BAn@p2@A
472@§pp4·@4¤`?5<c47:`@8B 35<>:pQ¡±?54p8B8j@2W¢W8Q§±?2@2@554S4B¢K« 25` 544
ìð
@
Q7
þ
.
8
O
(
'
8
ÿ
D
+
25¬§p44:32@8U?§p B«447W?8,2W§p¡n8,44(:``?5p8,447¢7Ws³AB2@:`§¬¦44'¬8B´s?5A3pp?=²528,4<><>:`AB¬6s?SS¬(An4^^`6£2W¢WAn8,§°5:3¬i2A,8,6698n:S25¢K¢'§`2@44\AB<>³:±AB?5¤S2547§p?^444¬i5AB n@?$44'2525A\<²¢7S8B¤S4=B4!^?^6£25An25`§p5¬is4<>48,¬?:S47A,¢'¬4i6325AB<>@:»@<c.4·AB?8Bp2@=c5!=>As`4'¢7¢'´s8j25pS2@<c@4An45:?<c ¦«
469'8B´s§p¢Kp2@4=²AB8,¢W<>8B?±:p?54254i§S?R8j¶$¤O2i§p8B47=²58,@4\4@¡B¶·A,46M425p4§`< :°x8U47 B¬@4·4747:p:`:3A,¢7252@4<><>?·AB¢7:p4<c:\8B4»¤p25=c§p48B4Q?!s8B< ¤SD¬AB4An2^52@4p=c:`:34.¢'2·4:pAB?&46¢W<c:!s¬?254<>¬<>¬:°AB4$AB@8B¤ :`8B4!=c¢K=>8U2As n¢7AB478,@W25<c8,<>4AB¡B:3:`425?4p« 47³s=²2@8,p§:ps¡n<c¢25`8,<>AB:!8,:`¡n¤D48B4 ? =
?^`¢W§8B?2@§p4QAj B45§`48B*6£AB
s<²?5`8j2W¢W§p4.¬4'25§`AO¢8,=>=>?$?5474¬4.25A¤S4Q=>4?@?<>¬DAB52@8B:32«
" \
7
!³
¬8U4µn2547§S8,6£:pAB*
¢7©AB47¬25@¬< 47:38,2@47?:`An :+8 8`8,¦:±448,:@=><cÅ$4<>¬p47@n8,6M¦ 2
A,= ^68B2@?§p1O<²?$AB<²`?58,8BD=cAn47:s« 1OAB<>:p<>:p47:¦O8,:S.©472547 <²O
5:p4AB?^=>4AB8,¡nW<cBO¢W«±§ij8,p:p§p54A 4 : 4?¢'< 2¶ABAB8B6&@?5.4!;
§S`An8BO5A?µ<>8(¤S4¢K42µ447=c:§`4¢'8B¢7AB?³8,¬@¤D@¬(47<c447p: :pAB<²`¢7s:`8j2±8B2@<c:`<cAn:®¢':`<²258,?§p=>8,=c4 +:` ?5p< p4D8B=>?5AB?54!<c5:`25`435¥<A ĤO4:p¢K<>2³ B25§p4725W§`4?58,<ÿ22µ4<²¢W?±A,§p68:pAn=c4AnAn¢W<c¡B:3§s 2
4 B47=>AB`¬4:32ª·4:325@4µAB6 &<>:p=²8,:` 9R47n4? K«
,
"$
ï ì ñ « :`8,¦`=>3ð 25<Z¦nð 1x'«j¦`©ð W8,ó¬isðn8,ðj:`÷S<cx¦n¼n« p`:p8n4?2?^õn4õn8,ðpW¢W« §<>:(¬i8,<>:!¬4¬An5`8j2@8B¤`8B?54?« FWaW[jV ì
ì
ì
ï ðUñ <c:`«¡`
« :`p47W?5?5AB:¦s1x«O;
<>=>?@?5AB:«úg¬p@Aj B4¦s¤S÷ 4§`8U O<cIAnð,õ3pó AB6Á25@¦<c4?õB¤Oõ « 8Bp8Bs25<> B4³¤p@8B:`¢W§s
L]'[jVKfihjXJ9[jL V5[a@F'HWHKJML3d F7XZXgF7VWH
ì
ï ñ 8,:`« 8B
=cs:`?5<>s?4A,@6s?@?5=c4AB B:4¦$=B1x¢'An«·¬;`<c=²5?@4?^?5An?5:<cAn« :«jSúg8B: ?^2547V5*[aW?5FW4F 8B,@JM¢WL3§`d,<cH:p¡[^]<>X£:òbpF 25@ <c4F@aW?*[,8,L :S ³3L``LS8n`Ohj25G @474s? V5[ ¯FW8,hj:L
Yjf [jHKJMsf [,L ³G d3[jVKJMX£bOf(H ¦p`8,¡n4? ö ð Oõ ¦ ì õnõ,÷`«¨;±ª1 ö óBóp«
ï ÷,ñ «
V@hB:`a7sXZ4J9aW@F?@?5ABhj:L ¦O1x«n;<cF'=²VK?5J9?5F7ABLD:aW« F ¦SðB¹ió ¢7Z<cð 4:32ð,<c¬õ p=>÷ 47¬¦ 47:3õB2Wõ38jós25<>« AB:iAB6?^s¹´25@474?7« [^]WX h,V5F
ì ì ì ì
ï óUñ¼` «[^]WúKX «
h,V5AOF 4B¦ « V5hn a'XABJ9@aW<cF¬h,ABL 25A`« :ýF7VKJ947F'¹*LxaW¢'F <>47¦S:3ðn2\ð Z<>õ ¬`B=cõ34ó¬`4ô,:3ð 2@8j¦ 2@<cAnõB:þõnðpA,« 6µ25@<c4?2@5`¢'25p@4?«
ì ì
ï jñ±VKJMXM« bsf!«SH ª·« An 5¬¢ µ47:@8U8,¶:`
<>ª³=>=Z« ¦ õB«sõ ¨4« <>?547W?5AB:.8B:`\Å«p¨«pÅ$<> B4?2« L`XV5[ ,`a'XJ9[jL+Xg[ ³G d3[je
ì
ïIôñA,¼`6R« ¼S25« @47³48B?5« W8,¡n[^]W§X ¦3¼Sh,« V5F «Dª·=c4V58,hn@a'BX¦OJ9aWúKF« hj« L <c2^2@47:F7VK« J9F7LDAnaW:`F ?5¦D8Bð < ù¢'ð3AnôB¬ô `p8Bð,õ¢'2¦ @47`õB5õ 4?^« 4:n2W8j2@<cAn:
ì ì
ï ö ñ¨ô « ¦ 4 Oõ 5Ajðsn« 4B« :`A,254(AB:+2@§p4(8U n47W8,¡n4±p47s2@§®A,62@5<>4?« [jf sXJML3d ¦ð ö £÷ 3ô ì ìö
ï õjñ¼`« V5hn«a'X³J9aWpF(:`h,pL 8n?µú^ú^úK«!F7úgVK¬J9F'`Lx=caW4F ¬¦Sð4:325<>:p¡+sOð3:`ô 8, ¬<²¢!÷ ¬¦ <>:põn<c¬iõ 8B« =ÿp@4 p´25@<>4?« []WX hjV@F ìì ì ì ì ì
ì
w.
l
E
R;
l
BA
m
j
ª
f&
.
6
3)
¾c
%.
©8
@
%.
-
`
& )
x.
`
%.
R7
.
c
4[
^
Xc[
^
R.
X
Xc
#.
g]
7
%.
&g72)º,
g]
& )H,
L ^
O;
Z.
Xc
l
l& 2)º, 7
L ^
l
Ç
lª
g]
hª
c
`
9[
#
Xc
g,@.
& )H,
L ^
O.
^
& R)H, 7
.
ª
H8
Xc
L ^
& )H, +
+
]
ï ì ñ ©^? 4« 8,&W¢W=>8§p<>:pAB=>¡`4'« 2«ø³:25§p4!S4^6£An5¬i¦D8,:Sð ¢'4±47÷3 jó8, =>`B8,õp25<>¦ AB:õ A,6« 4'´O2@47:`s<>¤p=>4Q§`8B?5§p<>:p¡*8,:S25@<c4
a7Xgh L]'[jVKfihjXJ9a@h
ìö
ï ìnì ñ©« &=²8 AB=>4'2¦ «DÅ47 ¡B:`¦D<c4ðBó ¦ (÷3«Áó1O A,25254¦8Bõ « ós«=c¡n47¤pW8,<²¢±¬4'25§`AO`?
6£An
25@<>4(?^2@8j2@<>?^25<²¢7?«
³L`L J²H7a'V@F'XgF h,XMb ì ìönö ì ö
ï ì ðUñ©ó « &=>8 IôjAB÷ =>4'p2ô « OôO¦ <>¡B<cõ 2@8Bp=« ?^48,W¢W§®2@544?Q@47 O<²?^<c254Á« ! [jsVKLxhjG·[,L [jf sXJML3d ¦
ì ö ìö
ï ì ñ « `54sO<c:«R@<c4±¬47¬AB@B« [jffsL`J9aWhjXJ9[jL`H[^]QX£bpF ¦ ÷3õ só ¦ ì õ «
ï ì ÷,ñ « `544?^25AB:«§`4 ³; `=>4 8¦Dð :p47¶ sð OB<c:Sõp.¦ ABõ 6&¡nôO5« <² `=c4n« L`X
[jL] [jL h,LDh7d3F7fF7L`X$[] hjXgh
ìö
ï ì óU"ñ « !#« « µABp:pp:`<>4'?52AB¦p:sÅ « !4« ?5=c4B8B¦p4 ?548j¢'% $An:`8j.2544?7s« <cE!25<>hjABL:¦ [õB[õ N.[« ] ³G d3[jVKJMX£bOf(Hh,L hjXgh XZVK`a7e
XZsV@FKH
ì ì
ï ì jñ ¬«47:`?5s<cAn2 :``8,4=x? n=><c¦ :`48,« $ §S8B«R?51O§p<c<c´x:`¦R¡`©« « V5[<>a(s¬i[^]Q8UX£nbp47F &« 'pX£µb =cAnLS¤`X 8,=>=>+[jABLW] s47[j±L p@4h,?5X47h @ O<c:pL3¡.dBJM¬!LDFWpF7=cVK25JM<²L3sd <c ¦
ónôBðsó ö ôs¦ ì õ öBö «
ï ì ôñúg©: « ±<>V5W[?5a ¢W§p(
4),:pX£§pb AB6£47¦ !«U©¦B5`As8Bs¡B<>4:p? ¡n47ôB«3ô1OAn¬ós4«j1O6£pp5@25<>§p:p4¡BR4^@+4*?5p47=c@2@=>?R8B¡`AB¦:(põ <c¡n`<ÿ2W«`8,¨=O4?^¢K42@8,pW5¢W4
§±;25@A,472@44?? «
ìö
<c:®ª·An¬`s2541s¢'<>47:`¢74± BAB=«`ð `«ì ìö
ï ìö ñ !« « ±:Os2@§« _ -, k_xb`F V@[5dBV5hjf « ³ps<²?^An:s 4?5=>47B¦ ì õ ö p«
ï ì õjñ !V5« [@d,« V@hj±f:3f(p25JM§LO.«d « ³[jpVKsXJM<²L3?^Andº:sh, L 4?5 =>47FWBhj¦ V5aWbOõ3JMô LOd « ¦$ nAB=>p¬4 AB6 _xb`F ³VKX[] [jf sXgF'V
ì
ï ð ñ <c:`«¡®©¶$« <c±25§ò@<c4©¡B8,45=Z25¦ <²µ8,= «p1O47´s4`¡B8,47:`?5« <>AB :`p?=c¦ 25<²sV5<c¬[a@4FW:`F j?^<>JMABLO:SdjH+8,=[ø³] @pLS47X$F7VK©LD@h,4XZ?5J947[,@LD Ohj<c:pG ¡(¨[jL<>:p]'4F'8BV@F' Lx³a@F®8B?5[j§sL
47h,@X=ch <>:hU¦`H7ð Fº_xpbpðBFWð [jVK¦ Y0ì õ / Rö `FWa'« XsV5Fi
H,
+ %
` [
/7
\
^
7
l
2
l,
b
*
7
%.
8
<[j
,
18
7 Hb
.
l
,
[j
7 2
`
Çb
`
7
:
hc i
O[
Xc
.
7 %.
B
?>
? *
+;
`
db
Hb
+
b
7
` *[²W
7
%ª
l;
;
%ª
#.
«
Xc
%
;
^
i
3c
v
2
<
`
^
7
Ç.
Oª
R7
f
Ä[
(.
%[j
.
[
%ª
7
hcQ
(
^
ª
i
a
%;
`((
W
Xc
*
db9
`
h.
.
¾L
Hb
<.
& )H, 7
L ^
*;
m8
Xc i
h
g]
^
8
[j
&
)
2,
& x)
ï ð jñ!41xs«,<c;
25An<>=²?5¦ ?5AB:¦9« Q8,@=>?@?5AB:« `8n?28nps@4?@?R=>AOABOp!6£AB<>:n2@47@:p4'2@ABs2@47W?7«súg:i©8Bp=
[jff(sLSV5J9[a@aWh,F@XZFJ9[,,LpJML3=H d,H±/>; [3]³X£? @BbpAC:F 1 'p«ÁX£ª·b §S8,p¬i8,: L`XgD F'VK³Lxhj8,X=>J9=Z[j¦ LDì h,õBG õ ö« [,L]'F7V5F'LxaWF[j<L ;
V5[h hjL
ï ð3ôñ 4'
´O« 25¼`4«:`øs<>2@¤pA3=>AS4!« §`8n?^§p¬i<>:p8,¡S`« p<c:`V5¡[ai6£`[:`](¢KXM2@b`<cAn=F :¯(FE,6£AnXMb 25L`§pX4¥s<>[j@4L¢K] 2@AB[,@GL°A,6D6±F'VK8®Y ¬(RhjpV=ÿdn2@<>F p<c¬hj47Xg:Sh ?^<>hjABH':`F'8BH =¦
÷nõ ì só `¦ ì õ ö ÷S«
ï ð ö ñ « ¼`«nø2@AO_A`e « 8,=²8,:S¢'4( ¬!Yj`f =ÿ2@<>[UsHK<>JM¬sf 47:`?5[,<>ABLý:`X£8Bbp=sF 4'´O254VKJM:`Lxsa'<>J ¤p=cGc4F'H¥§`8B[^?5] §!2@5h,4X4Bh « hUH7V5FK[H Ia ¦H,÷nXMõ b só `¦
ì
ì õ
ö ós« 5
ï ðBõjñ µ«S©<c2^2@47=« ¦ ?53¬Zð s2@÷ A,2@
÷ <>¢38,÷3=ð3¡nôO5¦ Aj¶õ 2@§ós« AB68*¢'=²8B?@?$A,6W8,:`pAB¬#2@544?« _xb`F ³L`LDh,GIH![]
V5[ h JMGÿJMXZY ì ì ì ö
ï ñ µ«n©<c2^2@47=«©8j2@§`?<>:\8W¦8,:SsAB¬õ s <c¡nón<ÿ2Wós8,¦ =S25õ @47p4 «&¨<c¬<c25<>:p¡(s<²?^25@<c¤pp25<>AB:`?« ,TUh,LDaWF'H
JML GÿJ9F V5[ h JMGêJMXZY ìö ì ì ì ö
ï `ì ñ «S1p8,¬4'2« GêJ9aWhjXJ9[jL`H([] h,XZJ9h,G h,Xh XVK`a'XsV5F'H « ³ps<²?^An:s 4?5=>47B¦ ì õ ö õp«
ï ðUñ «Á4?^1s=>8,47¬n¦ 47ì 2õ « ö _xõp«bpF F'HWJÿdBL»hjL ³LxhjGêYUHKJ²H[^] h,XZJ9h,G hjXgh XVK`a'XsV5F'H « ³ps<²?^An:s
ï ñ ¬µ«4'251s§`47AO47¡n476£An¦ ³?5`« ©8j«2@<>±8B=5<>p478,¡n2@478,=¤S«8B?54§`?^4.s¤p?^25S47p¬is?3« Z2@54V54[a[^8,]:ºX£bp47¹*F ¢'(B<>Jj47XM:3b 28BLS:`X »@[,ABL¤`] `·?2i[jGL 8B¢6S¢'F'4VK?5Y?
h,VZd3F hjXgh hUH7F'H ¦Só,õ pì ¦ ì õnõ «
ï ÷,ñÅQ«n£1O÷ 4B<>ó p47=S÷ ,8B÷:`O*÷nª³õOôO« Ŧ « õn
õ W`8,« ¡nAB:«`Å8,:`sAn¬< 4¤p<>:`8,@(?548B@¢W§!25@474?« ³G dn[,VKJMXMbsf(J9aWh ¦
ì
ì
ï óUñ a7«,Xg&h 8,$¬[j¬GêYjXg<c:pFWa@4bs:L`«`J9aWh §p4 aWLhjK³L ,ª JMLDh,¨T¨.J9aW¬h « 4' 2@§p8jAs25§`476£An¬i8j4'2@¹*<>¢¢'?R<>8B47:3:`2(¡Bª·4ABAB¬¬p4'2@p525<²47¢·8n1s¢7¢7¢7<c44?@:`?¢'2@4AQ1Op478j@2W<>48p? «
;
AS« ÷`¦ 47=²?^<>:pO<¦ &<c:p=²8,:SÁ¦ ì õ öpì «
ï jñ aWF@« F ,JML38,d,¡nHi:p47[^](8,X£:Sbp F ! Yj« f AB[j= HKJM« s¸f0¢7[jABL ¬(¤p<cV5:Sh 8j25b An5<²8,V5=Bh 6£@8BJM¬L3Md 47¶? @FABA @¦1O6£Anp&@<c¬i:`¡B8B47!5+ =²*8,¤D47@47=>=>8B<c:p¡`¡S¦ « õBõ V5[je ¦
ì ö
25Ai8,`S48,«
ï ôñ Å
ª « % $(« ó §`8,%:`N¡`ó ¦ÅQô « õ ±'¦35<²ú ?^§` :`8,¬(§ppAn^2@¬§O8nB«?$¼` « s GÿXZ8jJMGc2WF7?^TjAnF':GÅ
dBVK4J ?548,WGc¢WF'§H «ª·Å$4:3425?54748B¦p@÷¢W§°¦ Å$õ4SósAn«^2
ìBì ì ì ì
ìö
7
;
;
3c
`
`
`
hc
6
%
2c i
W
.
Çb
`
Hb
i
'
7
%
[j
`
`
%
1
^
& )H,
2,
4[
%
i
c
^^
[
, +
i
^^
(
[²c
7
w.
^
hc
[
2 %
.
^
;
,
x7 i
7
& xý )H, R7
O
db
Hb
[
7
[
`
.
Xc
l
7 %
j.
3c
7
%[
i
2 %
%
^
.
i
'[j
i
l.
^
%;
^
@;
71&
2)
]
vcju
³
ìó
a.
Q
Z
R
S
T
W
V
RZ
Y X
U RQ RR
RS RT
b.
Q
Z
R
S
T
W
V
RZ
Y X
U RQ RR
O P Q RQQ
RS
O P Q RQQ
c.
Q
R
Z
S
T
W
V
Y X
U RQ RR
RZ
RT
RS
RT
&<>¡Bp@4 ì 98 ¤p<c:S8,@i25@<c4 £¤ 8(S8j25§+¢7AB¬p@4?@?^4i25@<>4 9¢ $8S4^6£4¢K2¨R©ª25@<c4n«
,& R)
.
2B&
)
ì
B& +)
7
doubling
&<>¡Bp@4ð ;
Ass4pABp¤p=><>:p¡`«
,
halving
&<>¡Bp@4 ;
Ass4Q§`8B=c O<>:p¡`«
,
ìô
&<>¡Bp@4±÷ ³5<>=c=§pAB=>4?<>: p:p<²¢W§«
,ª
ìö
Perfect LPC-trie
Relaxed LPC-trie (25/75)
Relaxed LPC-trie (25/50)
Put
90000
90000
90000
60000
60000
60000
30000
30000
30000
30000
30000
30000
20000
20000
20000
10000
10000
10000
30000
30000
30000
20000
20000
20000
10000
10000
10000
Rem
Upd
&<c¡np@4Qó 47¬AB@*p@A S=c4?6£AB$¬i8,4748B?^2@ABs2@<c:`¡(2W8,¤p=>4 nö ÷Oô 4:325@<c4? '«
Leaves
Internal nodes
l,
Arrays of size 2, 4, 8, 16, ...
8
m& ìõ
)
Perfect LPC-trie
Relaxed LPC-trie (25/75)
Relaxed LPC-trie (25/50)
Put
30000
30000
30000
20000
20000
20000
10000
10000
10000
30000
30000
30000
20000
20000
20000
10000
10000
10000
30000
30000
30000
20000
20000
20000
10000
10000
10000
Rem
Upd
&<>¡Bp@4 4¬AB@ip5A `=>4?6£AB
p5<>=c=Á§`AB=>4?<>: p:p<²¢W§ ì õB÷ ì 47:32@5<>4? K«
Leaves
Internal nodes
67l,
Arrays of size 2, 4, 8, 16, ...
8
ð
f&
27
3)
Perfect LPC-trie
Relaxed LPC-trie (25/75)
Relaxed LPC-trie (25/50)
Put
15000
15000
15000
10000
10000
10000
5000
5000
5000
1500
1500
1500
1000
1000
1000
500
500
500
30000
30000
30000
20000
20000
20000
10000
10000
10000
Rem
Upd
&<c¡np54!ô 47¬AB@*p@A `=>4?6£An$¤SAOAn ì ì 3ðBð!47:325@<c4? '«
Leaves
Internal nodes
,
Arrays of size 2, 4, 8, 16, ...
8
&
ðì
77
)
© Copyright 2026 Paperzz