Resolvent 81 Resolvent Let V be a finite

!#"%$'&)(+*-,.!/10-,324*56,378*+&89;:<4=!7<>?5A@+&8=4B&8*-0DCFEHG?IJ"LKMON1PRQTEV
S UWIXCYKZ ![-*\!6[-'7<@]4>&^!7<>
C`_aQcbd,e5f,3*c:<>A!6,3$-9e8Z-5A7gh?=i&8*jPk7<>62
l'IJQmKonpIXCD_TQcbqKsr+t
Ikgu[-,e=s[DghB5A7<2!,e2B5?0-4*-7v!$xw\l'IXQ+ysCYK6KMzf[-'Pk{-*-=!,378*`l}|;~Y8UWIJCYK'€ GI
"#K,35?=4&8939e40![-
‚ƒs„†…^‡‰ˆ8ƒŠ+‹ 78P;CfMŒN1!h@->67†:m,30-5&8*d&8*+&89.wx!,3=Ž&8@@->67c&v=s[d!7x{-45‘!,378*-5&8$]7<{!Y![’5A@=!>6&89“![-7<>Aw78P;CfM
zf[-L5A!~Y8UWIXCYK”,35Ž=i&89e930•!6[- ‚ƒs„†…^‡‰ˆ8ƒŠ+‹Y„†ƒ‹ 78PYCfM—–q,3*=4?![-”,3*c:<>656578Po=7<2B2#{!,e*-˜B,e*c:<4>‘!,e$-93
93,e*-i&8>u!>6&8*-5‘Pk7<>62B&v!,e7<*-5’&8935A7=4782B2L{q!8Z™l'IJQ t K—&8*-0šl'IJQ›sK’=47<22L{!6”Pk7<>—Q t yQ›Ea~Y8UWIJCYKMB–q,e*-=4
&9e,3*-4&8>!>6&8*-5‘Pk7<>62B&v!,e7<*)=4782B2L{q!45fgu,.![•,e!5f,e*c:<4>A56vZ,.!Ž&8935A7Pk7<9e937†gu5![-&v!’CV=47<22L{!645fgu,e!6[œ&v939
l'IJQmKM
`(+>A5A!fgR&8*c!Ž!67O56[-7†gž![+&v!Žl'IXQmKY,35u&L[7<937<27<>A@-[-,3=ŽPk{-*-=!,378*)78PŸQBE~Y8UWIXChK—gu,.![:v&893{45f,3*
G?I
"”KMW u4=4&89397<{->4&8>69e,34>h0-,35A=4{-5A56,e7<*)78P¡[-7<9e7<2B78>6@-[-,e=ŽPk{*-=!6,37<*-5hgu,e![:v&89e{-45R,3*)&O¢&v*+&8=s[j56@+&v=48£
7<*-?78P;![x{-,e:v&89e4*c!u0-(-*-,e!6,37<*-5hg&85f!6[+&v!f![?Pk{*-=!6,37<*),e5f˜<,e:84*j$cwj&O*-7<>62O/¤=7<*c:<>6˜<*x!Ž@]7†gR>
56>6,35u,3*•&O*-4,e˜<[x$7<>A[-7m7q0j78PŸi&8=s[•@]7<,3*c!u,3*)!6[-?0-7<2B&8,3*¥Mo¦$564>‘:<?![+&^!
l'IXQqK§n IJCD_TQcbqKsr+t
n IJCD_TQ¨b#_©IJQ?_TQ¨ªK«bKr+t
n IJCD_TQ¨bqKsr+t¬­b#_©IJQ”_®Q¨ªK‘l'IJQ¨sK«¯kr+t°
!#±¡²8±u$]³&*-7<>A2´78*)"BZq&8*-0`±¡²8±u04*-78!6’!6[-—7<@]4>6&v!78>h*-78>62µ7<*G?IJ"#KW,3*-0-{=440d$xw'!6[-,35h*-7<>62•M
N1P
¶ Q?_TQ¨ ¶x· ±l'IJ Q¨K± y
![-*•!6[-?56=47<*-0¸,3*c:<>65A#&8$]7†:<,35f˜<,.:<*•$cw•&O=478*x:84>A˜<4*c!¹Ž4{-2B&8*-*•56>6,e454|
¼
¼
l'IJQmK§n l'IXQ¨ªK» ¼ º l'IXQ¨ªK IXQ_TQ¨ªK
¼
½ ¨ ¼s¾
n » ¼ º l'IXQ¨ªK tIJQ?_TQ¨sK °
½¨
zf[x{-5l'IXQqK,e5W˜<,e:84*$xw&?=478*x:84>A˜<4*c!@]7†gR>h5A4>A,345h&8$]7<{!h&8*cw'@]7<,3*c!YQ¨ŽE~Y8UWIXChKIJ&v*-0B7vP¥=478{->65A
![-?>A456789e:<*c!—5A!’~Y8UYIJCYK³,35f7<@]4*“KªZ+567Bl'IJQmKR0-(+*-45’&8*•G?I
"”K¤/
:8&v93{-0•[7<937<27<>A@-[-,3=ŽPk{-*-=!,378*•78*
![-?>A456789e:<*c!—5A!’~Y8UWIJCYK78PŒCfMY¹’7v!³![-¼ &v!uPk>67<2´![-?56>6,e45u7<*-?7<$!&8,3*5![+&v!
¼s¾
¿VÀ
ÀmÁ³Â l'IXQmKvÃÃà nÈÇ]ÉÊl'IXQ¨ªK tª°
ÃÃÅÄXÆ
¼
˒*-=4?Pk7<>u&8*cwjQE~Y8UWIJCYKZ
¼s¾
¿ À
ÀmÁ³Â l'IJQmKonžÇÉÊl'IXQmK t°
zf[-,35Ž=i&v*š$>62B2L$]4>60œ4&856,e9ewj$cw•*-78!,e*-˜'![+&v!’,e!uPk7<9e937†gu5Pk7<>A2d&89e9ewd$xw•0-,.̙>6*x!6,Í&v!6,3*-˜l'IXQqKYn
IJC`_®QqK r+t gu,e![j>A456@]4=!’!67Q“Zq!>64&v!,e*-˜CÎ&85u&'@+&8>6&82B!>4M
3
—v—^e
fz [-&v>6˜<{-24*c!”&8$]7†:<56[-7†gu,3*˜¸![-&v!”l'IJQmK³,35?[-7<9e7<2B78>6@-[-,e=L[+&85?![d&80q:8&v*x!&8˜<O![-&v!,e!˜<4*m/
4>6&893,45!67œ,3*q(+*-,e!6'0-,324*-5A,37<*54M —9.![-7<{˜<[D!6[-BPk7<9e937†gu,3*˜¸&v9e!>6*+&^!&8>6˜8{-2B*c!L7<*-9.w\&8@-@-9e,35,e*
(+*-,.!O0-,e2B*-56,e7<*-5Z ,e!?˜<,.:<45?5‘!>678*-˜<4>?>A456{9e!5?,e*š![+&v!=4&856vMB "
! !anµ0-,e2©"'Z¡=s[7q7<5A&•$+&v56,35³Pk78>
"Z&8*-0•>6@->656*x!CÎ$xw¸&2d&v!6>6, #),3*¸%~ $'&$™Z“gu[,3=s[œPk7<>u5A,32@-93,e=4,e!¤wgh”gu,39e9;&8935A7'=i&89e9ŸCfMzf[4*œ!6[-
2B&v!>A, #d78PfIXCD_TQcbqK r+t =i&v*¸$]=i&89e=4{-93&v!0j{-56,e*-)
˜ (R>&824+> * 5u>6{938-M ,Ÿ,3>65‘!u7<$-5A4>A:8!6[+&v!
0-!ŸIJC\_TQxbqKon I‘_K $/.10 IJQmK°
—9e5674&8=s[ 78PW![-O=7<2@7<*4*c!5³7vPY!6[-O=493&8565A,3=4&89&v0 2A7<,3*c!2B&v!6>6, #•7vPRCa_HQcb•,e5&@]7<9ewm*-7<2,Í&v9 ,3* Q
78P¡0-˜<>6?&v!u2B785A3! !B_V<MŒN1!fPk7893937†gu5Y![+&v!u4&8=s[j=47<2@]7<*-4*c!u78PRIXC _`QcbK r+t ,35f&L>6&v!,e7<*+&89“Pk{-*-=!,e7<*
78PYQ I gu[-,3=s[š:v&8*-,e56[-5³&v5! 4©KZ567,e*œ![+&^!³56*-56'l'IXQmKu,e5³&d>6&v!,e7<*+&89;G?IJ"#K¤/
:v&893{-0¸Pk{-*=!,e7<*¥6M —935A7
i&v=s[4,e˜<4*c:v&893{8 7:978P C®,e5R&@7<9ef78P;l'IXQqKŒ78P™7<>604>h&v!R27<5‘<! ;91Zx!6[-³&v93˜<$->&8,e=f2L{-9.!,3@93,3=,e!¤w78=P 7:91M
¦—Po=478{->65ALl'IJQmK=i&v*-*-78!’[+&i:<O&>62B7†:v&8$-9e5A,3*-˜8{-9Í&8>A,e!¤wj&^!—Q>
n 7:91Z“Pk7<>’7v![->Agu,35A”9e!A!,3*˜dQ€ 7:9
,3*)!6[-?4x{+&v!6,37<*DIJC\_TQcbK‘l'IJQmKŒn bdgR78{-930j56[7g ![+&v!ŽCD?
_ 7193b,35f,e*c:<4>‘!,e$-93vZgu[-,3=s[•,e!,35f*-78!4M
`h=i&89e=4{-93&v!0L&8$]7†:<Y![-hz&iwm937<>Ÿ/ #q@+&8*56,378*L78P“l'IXQqK;&8$]7<{!&8*cw@7<,e*c!ŒQ¨’E~Y8UWIXCYKMN1!Ÿ,35&8935A7
{-5APk{-9-!67=i&89e=4{-93&v!¼ R!6[-u;&8{->A4*c!Y/ #q@+&8*-5A,37<*&8$]7<{!o!6[-f@]7<9354MŒ u4=4&8939m![-u5A@=!>6&89+0-=47<2@7856,e!6,37<¼ *
78PCf|Y,.@P 7 t yi°4°i°4y 7 &8>A?!6[-?0-,35‘!,e*-=!u,3˜<*x:v&89e{-45f7vPoCHgu,.![•&893˜84$->6&8,3=³2#{-9e!6,3@-9e,3=4,.!,e4-5 ; t yi°i°i°Ay ; Z
&8*-0
B
CD9™F
n EpI6IXCD?
_ 7:9ÍbqHK GJIJK
&8>A³![-?˜<*-4>6&893, 440j,3˜<*-56@+&v=445Z+![-*
¼
"Fn
&8*-0j4&8=s[
B
C 9¡,35f,3*c:v&8>A,Í&8*c!f{-*0-4>ŽCfMY;!6L
3
K
9
B
C 9¤y
3
½ t¼
t yi°4°i°4y¼ L $!6[-&8565A7q=,Í&v!640j@->67M2A4=!6,37<*54Z+567'![-&v!
b'n »
9
L=91°
½t
!ON t yi°i°4°4yN $]#![-'&v56567m=4,3&v!0š*-,e93@]78!*x!’!>6&8*-5APk78>62B&v!,e7<*-54MŽ`O2B&iw•>64˜<&8>604&8=s[PNQ9W&85³&8*
49e424*c!u78PŸG?I
"”K?IX,3*)gu[-,e=s[¸=4&856
NQ9™R
n LS9TNUL=9
¼
gu[->6
N V
n N t W ²†²†² W N y
567
B
B
B
NO9‘¬ CD9eS
¯ X CD9Ÿ&8*-U
0 B NQ9¤¬ CZYs¯R
n [LPk7<Z> \œR
n S ]1KZ
7<>gh”2B&iw>A4˜c&8>A^
0 NQ9Ÿ&85u,e!65f>645‘!>A,3=!6,37<*)!67 C39;gu,e!6[
B
B
NO9Ÿ| C39™€ C391°
¼
¹’7†g
Can » 7:9TL=9 W N8Yy
9
½t
¼
¼
567
CD_aQcbOn » e¬ I 719]_aQmK LS9 W NO93¯J°
9
B
B
½t
(R934&8>69.wd!7',e*x:84>‘!—CD_aQcb]Z,e!f5A{=445Ž!7',3*c:84>A!Ž4&8=s[aI 719“_TQmK LS9 NO9¡7<* CD9¤MW¢h{!Ž7<* CD9¤Z
W
I 7:9“_TQmK LS9 W NO9¥n I 7:9“_TQqK¬Åb_ IXQ”?
_ 7:9kKr+t NQ93¯J°
,+7<>u&O*-,39e@78!64*c!f7<@]4>6&v!78>DN§gu,.!U
[ N G R
n [Z
IXb#_ NšKsr+tWn b W N W N › W ²†²†² W N GYr+t°
zf[-,35u,e5u&'5A@=4,3&89 =i&85A?78PŒ&¹’{-2B&8*-*j56>6,35Žgu[,3=s[•=47<*c:<>6˜<5’5A,3*-=?,e!f!>62,3*+&^!45Mozf[x{-5
r+t
GJIÍr+t
GJI r+t
¬eI 719“_TQmK L=9 W NQ93¯+ÃÃ
n I 7:9“_TQqKr+t » IXQ”?
_ 7:9kKr N 9 n _ » IJQ?F
_ 719 Ksr r+t N 9 °
¨
¨
ÃÃ I
½
½
à zf[-0-,3>A4=!u5A{-2 78P¡![-56?7<@]4>6&v!7<¼ >A5u˜<,e:845”IJC\_TQxbqK r+t Z+567'gh78$!s&8,e*
GJI r+t
l'IXQmKon _ » IXQF
_ 7:9kK r+t L=9 W » IJQ?F
_ 7:9kK r r+t N 9 °
9
¨
½ t
½
zf[-,35O>A45A{-9e!',e5O=i&89e9340D![-
‚ª‹ ‡ ª‚ ‹ …^Š
„ mƒ … …†„ ‹ …^Š 78Pu![-)>A456789e:<*c!iMT u4=i&v939R!6[+&v!'&8*cw
>&v!6,37<*-&89¥Pk{-*-=!,378
* IJQmK . IJQmKhgu,e!6[¸04˜ ¼ · 0-4˜ . [-&85—&{-*-,em{#@+&8>‘!,3&89¥Pk>&8=!,e7<*-5u0-4=7<2@7<5A,e!6,37<*
78P¡![-Pk7<>A2
9Y
» » GJI
IXQ”#
_ "+9kK Y 9
Y
½ t ½ t¼ !
gu[-4>A 9 Y’E~ &8*-0
. IJQmKon $ IJQ#
_ " 9kHK GJI
!
9
½t
,35Ž![-LPX&8=!7<>A, 4&v!,e7<*¸7vP . IX*-7<>A2d&v93, 40•!7)$]L2B78*-,3=v%Z " 9Œ0-,35‘!,3*=!ªKªM³zf[-'&8$]7†:<O,e5—56{=s[D&04=4782'/
@7856,e!6,37<*Pk78>ul'IJQmKM
¦$564>‘:<j![+&^!O![-j@+&8>‘!,3&89hPk>6&8=!6,37<*-5#0-4=7<2B@]7<5A,e!,e7<*®˜<,.:<5'!6[-j;&8{->A4*c!/ #q@+&8*-5A,37<*T78P—l'IJQmK
&8$]7<{!f&v939]78P;,e!65R@]7<935f&8939]&v!7<*-=4v|W&8$]7<{!fQ#V
n 7:9¥![³[-7<9e7<2B78>6@-[-,e=’@-&8>A!R78P¡l'IJQmKY,e5h!6[-³› 56{2 7†:<>
&8939™78![->f4,e˜<4*c:v&893{454MWN¤*•@+&8>‘!,3={-9Í&v>4ZqPk78>![-?=47m&=,34*c!65Ž7vPfIXQ”_?7:9kK r+t &8*0®IXQ_F7:9kK r gh?[+&i:<
')(+*
½-, I
¬Ål'IJQmK«¯“n _8LS9
&8*-0
')(+*
½-, I
¬.IJQ?_F719 KAl'IXQqK¤¯“n _6NQ91°
Ä
Ä
q– 7j![-OPk{-9e9Œ56@]4=!>&v9o0-4=7<2B@]7<5A,e!,e7<*78PRC ,35*-=47m0-0`,3*\l'IXQqKªMLN1!,35,e* PX&v=!@785656,e$-93”!7•˜<,e:8'&
=47<2@-9e!Œ!6>64&v!24*c!;78Pm![-W5A@=!>6&89c@->A7<$-932/. ,e*-=49e{-0-,e*-˜u&f@->67m78Pm78Pm![-W56@]4=!>6&89c0-4=7<2@7<5A,e!6,37<*
. $+&85A40j@-{->A49.w7<*j&L5‘!{-0wd78P;![->A45A7<9e:84*c!Ž&8*-0j,e!65@->A7<@>A!6,345MW¢R4˜8,3*-*-,e*-˜#gu,.![d!6[-³PX&8=!R![+&v!
l'IJQmK³[+&85”@7<9e45”&v!![-
719 * 5ZŒ7<*-=i&8*`56[-7†g ![-&v!”Pk78>”4&8=s[ ]6ZR0
_ '(+* ¬ l'IXQmK«¯Y,35”&¸@->A7 2A4=!,e7<*®&8*0
_0'(+* ¬eIXQ_ 719 KAl'IJQmK¤¯h,e5”*,393@]78!64*c!iZ;![+&^!#![d56{2 7vPf![-B@->672A=Ä !6-½ ,37<, *-I 5”,35?![-B,30-*c!,e!¤w8Z!=8Mœ–q
½-, I
1?&vÄ !7OPk7<>f5A{-=s[š&L!>Ai&v!62B*c!iM
3
—v—^e
fz [-)56@]4=,Í&89Y=i&v56)78Pf!6[-@+&8>‘!,3&89oPk>&8=!,378*-5#0-=47<2@]7<56,.!,378*`,3*Dgu[-,3=s[TCF,35”0-,ÍB &8˜87<*+&89e, i&v$-93O,e5
@+&8>‘!,e=4{-93&8>69.w)i&85‘wœ!670-4>A,e:8O&8*-0š>A4242L$]4>M³N1PYC ,35—0,Í&8˜<78*+&893,i&8$93³![4*i&v=s[ C39n C , I ,e5’!6[-
4,e˜<4*56@+&8=&8*-0•i&8=sU
[ NQ9™V
n [MoN1¼ P dE "ZgR2B&†wBgu>6,.!
¼
zf[-*œC'n 9 ½ t
567=49ei&8>A9ew
&8*-0)!6[m{5
7:9
M91Z+5A7
n »
9
½t
9RIX{*-,3x{-9ewKRgu[-4>AM9™nVL=9dE C
, I
°
¼
IJCD_TQcbqK#n » I 719“_®QqK9
y
9
¼ ½t
l'IJQmKOn » I 7:9“_TQqKr+t . 9“y
9
½¼ t
l'IXQqKon » I 7:9“_TQmKsr+tHL=91°
9
½t
zf[-?@]7gh4>A5LI 719“_TQmK r+t &v>6,35A³Pk>67<2 ,3*c:<>A!6,3*-˜œI 7:9“_aQmK‘bB7<*ji&8=s[ C , I M
`d0-,35A=4{-5A5O$->6,e-w !¤gh7D&v@-@-93,e=i&v!6,37<*57vPf![->A45A7<9e:84*c! . 4&8=s[T78Pf![456)[-&85#2B&8*cw`>6&82,e(/
=i&^!,378*-5gu[-,3=s[`ghd07œ*-78!”[+&i:<B!,32L!7¸,3*c:<5A!6,3˜c&v!6Pk{939ew8M)¢R78!6[®&8@@-93,e=i&v!6,37<*-5,e*c:<7<9.:<=47<*c!78{->
,3*c!64˜<>6&v!,e7<*œ78PY7<@]4>6&v!78>‘/1:v&89e{-40•Pk{-*-=!,378*-54M?N1P pIJQmKu,35&d=7<*c!,e*m{7<{-5³Pk{-*-=!,e7<*78PYQgu,e!6[š:8&v93{-5
,3*¸G?I
"”KŽ&v*-0 ,35—& t =478*x!67<{->’,3*š~fZ¡gR”2d&iwjPk7<>6
2 pIJQmK À Q)E\G?I
"”KMŽzf[-,35’=i&8*¸$”0-(-*-40
$cw•=s[-7q7856,3*˜&( #0$+&85A,35uPk7<>³"'Z>A4@->A45A4*c!,e*-
˜ pIJQmKu&85Ž2d&v!6>6,e=445Z]&8*-0š,e*x!64˜<>6&v!,e*-˜'=47<2@]7<*-4*m/
!¤gu,35A8ZŸ7<>&85#&•*-7<>A2'/1=47<*c:<>6˜<*c!L93,e2B,.!³78P Ž,e42B&8*-*\56{-2578PR!6[-d@+&v>&82!64>6, 40D,e*x!64˜<>6&8935M¢hw
=478*-56,e0-4>A,3*-˜![-L=7<2@7<*4*c!¤gu,35AL0-(-*-,e!6,37<*¸,e!’,35Ž=4934&8>’!6[+&v!’![-”{-56{+&v9>656{-9.!5’,3*š=7<2B@93/ #¸&v*+&89./
wm56,e5?&8{!782d&v!6,3=4&8939.w)/ #m!*-0D!67![-'7<@]¼ 4>6&v!78>‘/1:v&89e{-40œ=i&85A8Z Pk7<>³ #-&v2B@-9eL,eP pIXQmK—,35³[-78937<27<>6@[-,3=
,3* &)*-,3˜<¼ [x$]7<>6[7q7m0 78PW![-'=49e7<56{>6'78PR&j>A4˜<,e7<*$]7<{-*-0-0D$cw &j=49e7<560 =4{->‘:<®/#q=4@!Pk7<>@]7<935
n 9 ½ t '(+*xI žysQ 9kKªM
Q t yi°i°i°ysQ Z![4* › t 9 pIXQmK À Q#
!#"%$'&("*)(+$-,.0/1.32546,70!8/:9+<;&(!#=>+</(?@46,70!8/:90!8AB$%.3"-=
¦³*-L2BM& 2A7<>&v@-@-93,e=i&v!6,37<*¸78PY>6567<9.:<4*c!65,e5’!6[-O5A!6{-0w78PY@]4>‘!{->A$+&v!,e7<*œ!6[-47<>‘wš78PY,3˜<*x:v&89e{-45?&v*-0
4 ,e˜<4*c:84=!67<>65MYD?5DCv!=s[œ[-7†gÈ>6567<9.:<*x!65’=4&8*•$?{-5A40j!75A!{0w)=478*x!6,3*x{-,.!¤w)@->678@>A!,e45f78PŸ4,e˜<4*m/
:<=!67<>65Mf–q{-@@7<5AFEHGŒE ~%$'&$•,35u&OPX&82,39.wd78PŸ2B&v!>A,3=45u0-4@]4*-0,3*-˜=47<*c!6,3*x{-7<{-5A9ew)78*œ&'@+&8>6&82B!>
P JŽZW$-{!?,e*˜<4*->&89Ÿ![-O0-782d&8,e*œ78P I
I MdIXN¤* 7<{-> #-&v2B@-9e45Z™![-O07<2d&v,3*š78P I gu,39e9Ÿ$]'&56{-$56!78<
=478{-930$]&8*cwd2B!>6,e=’5A@+&8=8MÊK'N1!f,e5f&”PX&8=!![-&v!![³4,e˜<4*c:v&893{4578#P EHG¡0-4@]4*-0j=7<*c!,3*x{-78{-569.wd7<* I Z
$-{!!6[-,355‘!s&v!6424*c!2L{-5‘!?$O@->A7<@]4>69.wœPk7<>A2L{-93&v!056,3*=4L![,3˜<*c:8&v93{-5?&8>6O7<*9ewš0!>62,3*-0
{-@•!7d78>60->4M’–q,3*=4?![-”4,3˜84*c:v&893{-5—&v>6”!6[->67m78!5Ž78PŒ!6[-#=s[+&v>&8=!4>A,35‘!,3=@]7<9ewm*-7<2,Í&v9™78P EHG«Z™&v*-0
![O=47m& =4,e4*c!578PY![-O=s[+&v>&8=!4>A,35‘!,3=O@]7<9.wq*7<2B,3&89¡0-4@]4*-0\=478*x!6,3*x{-7<{569ewš7<* I ZRIk56,e*-=4vZ $xw *7<>62
4x{-,.:v&893*-=4vZq![³4*c!>A,3578#P EKG;04@]4*-0j=478*x!6,3*x{-7<{569ewB7<* I KªZ,.!R5A{ =445f!67L56³![+&v!h![-—>67m78!5h78P¡&
27<*-,3=u@]7<9ewm*-782B,3&89;IX7vP ( #q40)0-˜<>6†KY04@]4*-0)=7<*c!,3*x{-78{-569.wB78*,35Y=47m& =4,e4*c!5<M (R7<*-56,e0-4>Y(+>65‘!R!6[-
=i&v5678P&L56,e2B@-9e³>67m78!4|Œ56{-@@7<5A
Li¨—E~ ,35u&L56,e2B@93³>A7q78!78PŸ&L@7<9.wm*-7<2,Í&89 . ¨iMŒD?2d&iwB=s[-7q7856&
=49e7<560š0-,eD5 Cj&8$]7<{(! Li¨³=47<*c!&8,3*-,e*-˜*-778!6[-4> 4>6778P . ¨i£™7<*•![-”$78{-*-0+&8>‘5
w D7vPŒ![-,e5’0,3D5 C . ¨—0-7q5
-* 78!?:v&8*-,e56[¥Z;567œ&8939@7<9.wm*-7<2,Í&89e5’gu,e!6[ =47m&=4,e4*c!5”56{=4,e4*c!9.w=49e7<56'!7)!6[-7<5678P . ¨#&v93567j0-7•*-78!
:v&8*-,35A[j7<*¡MY–q7'Pk7<>f5A{-=s[ . Z . I L<K . I LcK,35f=7<*c!,3*x{-78{-5’78*5¡Z“&8*0•$cw)!6[-&8>6˜<{2B*x!u@>6,3*=4,3@938Z
. I LcK À L
] . I L<K
,35³!6[-B*x{-2#$>7vP 4>67m45?78P . IX,3*=493{0-,3*-˜)2#{-9e!6,3@-9e,3=4,.!,e45sK,e* !6[-'0-,35 C“M ,+7<> . ¨†Z;gh˜<!'<MB–q,e*-=4
. n S [785
* ¡Z :v&8>A,345f=7<*c!,e*m{7<{-569.wgu,e!6[)![-?=47m& =,34*c!65’78P . Z+5A7
. I LcK À L
] . I L<K
&8935A7B:v&8>A,345Ž=478*x!6,3*x{-7<{569ew)gu,.![•![-”=47m& =4,e4*c!5³7v-P L3M ’5—,.!—,e5Ž,e*c!4˜84>‘/
:v&893{-0¸gh#=7<*-=49e{-0-![+&v!
,e!f2#{-5A!f$]³![=47<*-5‘!s&8*c!?<Zq567&89e9*-4&8>6$cw)@]7<9.wq*7<2B,3&8935W[+&i:8 #&8=!69ew78*-5 4>67',3*d!6[-0-,eD5 C“MW¹’7†g
![-?>A456,e0-{-![47<>A42 ˜<,.:<45f!6[+&v!
. I L<K L À L”n L
] . I LcK
,35Œ!6[-’{*-,3x{-u>67m78!W78P . ,3*O![-u0-,eD5 C“%M ’5W!6[-u93P !W[+&8*-056,e0-f:8&v>6,35o=47<*c!6,3*x{-7<{-5A9ewOgu,.![ . Zx,e!ŒPk7893937†gu5
![+&^!u,e!5u5A,32@-93³>A7q7v! L 0-7m45f!67q7-M
¦*d=i&v*®&89e567•7<$!s&v,3*\,3*Pk7<>A2d&^!,378**-i&8>2L{-9.!,e@-93 4>A7q5#{-5A,3*-˜¸56{-=s[a&v>6˜<{-24*c!654M)N1P Li¨L,e5&
>67m78!Ž78P . ¨—78PŒ2L{9e!,e@-93,e=4,.!¤w ; <Z+![-*š,e!uPk7<9e937†gu5Ž&85’&8$7†:8”![-&v!—,e#
* Š 5A{ =4,e4*c!9.w¸5A2d&v939 0-,eD5 C
&8$]7<{! Li¨†Z&8*cw@]7<9ewm*-7<2,Í&v9 . 56{ B=,3*x!69ew=49e7<56u!7 . ¨?I gu[-4>A
A56{ B=,3*x!69ew=49e7<56 #0-@*-0-578*d![-
>&80,3{-5Ž78P!6[-0-,35 CKgu,39e9¥[+&i:<”/ #&8=!9e^
w ; 4>A7q5’,e*•!6[+&v!’0-,35 C\IX=478{-*c!,3*˜B2L{9e!,e@-93,e=4,.!,35sKªMozf[-,35Ž,35
7<*-h564*56f,3*gu[-,3=s[O,.!=4&8*L$]R56&8,30#!6[+&v!Ÿ![-h4,3˜84*c:v&893{-50-@*-0O=478*x!6,3*x{-7<{569ew”7<*![-=7q =4,3*c!54M
zf[-4>A#&v>6?5A!6>67<*-˜84>f56*-565³&85fgh49e9
M
˒7†gR:<>4Z-,3˜<*x:84=!7<>A5h0-7*-78!Y˜<*-4>6&8939.wL0-@*-0d=7<*c!,e*m{7<{-569.wO7<*@+&8>6&82B!>654@M (R7<*-56,e0-4>WPk7<>
/ #&82@-93³!6[-PX&82,39ew˜<,.:<*¸$cw
EKG¥n
[
I
I
[B&v*-05EKG;n
[
I
[ Pk7<> I [°
_
I
,+7<>³i&v=s[ I Z¥!6[-O4,e˜<4*c:v&893{4578P3EKGh&8>A I Zo_ I M (R93i&v>69ew EKGY,e50-,Í&8˜87<*+&89e, i&v$-93Pk7<>&v939 I M#¢R{!?,.!,35
,32@785656,e$-93?!7(-*-0\&d=47<*c!6,3*x{-7<{-5³Pk{*-=!6,37<* |'J € J › 56{-=s[ ![-&v! I I K’,e5³&8*,3˜<*c:<4=!7<>?78P<EHG
Pk7<>fi&v=s[ I M-,+7<> I [Z![,3˜<*c:<4=!7<>A5’7vPEHGo&8>A2L{-9e!6,3@-9e457vP
&8*-0 [ y
[
gu[-,39e³Pk7<> I · ['!6[-w)&8>6?2L{-9.!,e@-935R78P
&8*-0 _” £
=49ei&8>A9ew,e!h,35h,32@7<5A56,e$-93f!D7 2A7<,3*B{-@)56{-=s[j2L{9e!,e@-935h=7<*c!,e*m{7<{-569.w$xw&”:<=!67<:> I I Kogu[-,3=s[)0-7m45A* *Å!
:v&8*-,35A[•&v! I R
n [qMŽIJ¹’7v!![+&^!Ž&5A,32,39Í&v> #&82B@93=i&v*¸$]?=47<*-5‘!>A{-=!640¥|Y93!
º
I
[
[
I I K Pk7<> I [y
IK
EKG¥n k
P
8
7
>
0
EHG;n I [yŽ&8*-5
[
_ IIK IIK [ [
Pk7<>
3
—v—^e
gu[->6
I I KWn (vr+t G mPk78> I nR
S ['&8*0 I[cKonV[)°ÊK
N¤*`![/#&82@-93B&8$]7†:<8ZE’¨O[+&85#&8*®4,e˜<4*c:v&89e{-d78P2L{-9e!6,3@-9e,3=,e!¤w mM•D56[7g?Zo{56,3*˜¸![>6ª/
56789e:<*c!iZu![+&v!,eP&8* 4,e˜<4*c:v&89e{-œ78
P E’¨•[-&85j&893˜84$->6&8,3=•2L{-9.!,3@93,3=,e!¤w©8Zu!6[-4*©!6[-=47<>A>656@]7<*-0-,e*-˜
4,e˜<4*c:84=!67<>Ž=i&8*•$?=s[-78564*¸!7'0-4@]4*0œ=478*x!6,3*x{-7<{569ew7<* I Z“&^!’9ei&85‘!u,3*¸&O*-4,e˜<[x$7<>A[-7m7q0j78P I V
n [M
–q{-@@7<5A 7+¨Ž,35Ž&8*•4,3˜84*c:v&893{-?78P E—¨Ž78PŒ2#{-9e!6,3@-9e,3=4,.!¤w•<MYD
Cm*7g Pk>67<2 !6[-&8$]7:8!6[+&vH! EKG[+&85’&
{-*-,ex{-O4,e˜<4*c:v&893{ 7-GY*-4&8Q
> 7ҬPk7<> I *-4&8O
> [£;2B78>647†:84Q
> 7'GR,e5³56,e2B@-9eO&8*-0 0-@*-0-5?=478*x!6,3*x{-7<{569ew
7<* I Pk78> I *-4&8> [MoN1P š,35u&O=4,e>6=49e?&8$]7<{6! 7+¨—&85Ž&8$]7†:<vZ“&8*-0jgR?56!
l GAIJQmKŒnpI EKG_aQcbK r+t y
H
![4*
_ ] Kl GAIJQmK À Qn _ '(+* -½ , Kl GAIXQmKoV
n L8G¤y
Ä
gu[->6
L#G,e5?!6[-56@]4=!6>&89Y@->A7 2A4=!,378*D7<*c!67¸![¸/10-,324*56,378*+&89Œ,3˜<*-56@+&v=478:P EHGf=47<>A>656@]7<*-0-,e*-˜
!
7 7-G¤M¦$564>‘:<O![-&v!—Pk7<> I *-i&v5> [&8*-0 QjE ¡Z EHG¥_HQxb),e5—,e*x:84>‘!,3$938Z™&8*-0š,.!³,e5—=49ei&8>Ž![+&^!Kl GAIXQqK
0-@*-0-5=478*x!6,3*x{-7<{569ew¸7<* I IX&8=!6{+&8939.w<Z]{-*-,.Pk7<>629ew),e*QjE ¥KªM?–q
7 L#GW0-4@]4*0-5=47<*c!6,3*x{-7<{-5A9ew¸7<* I
Pk7<> I *-4&8> [MŒ`=4&8*j7<$!&8,3*j&O=478*x!6,3*x{-7<{569ewc/
:8&v>Awm,3*-˜O,3˜<*c:<4=!7<>u$cw)@->A7 2A4=!,e*-˜&#( #q40¸:84=!7<>|
93! v¨Ž$]”&O{-*,e!u4,e˜<4*c:84=!67<>fPk7<> E—¨Ž=47<>A>656@]7<*-0-,e*-˜O!)
7 7“¨†Z-&8*-0•56!
lKGAIJQmKv¨ À Qj°
G nRL#G v¨Rn _
]
zf[-?>6,e˜<[c!u[+&8*-0•56,e0-:v&8>6,e45f=478*x!6,3*x{-7<{569ewdgu,e![ I +Z 5A7 GŒ07q5u!67q7'&v*-0
G
ÃÃ
n ^ ¨†°
ÃÃ G ½ ¨
à ,e*®![-d>&8*-˜8)78P6L#K Z GŽ,35L&8*a4,e˜<4*c:<=!67<>'78PHEKG
˒*-=4 G)n S [œPk7<> I *-i&v>[ZW&8*-0T56,e*-=4 GŽ,35L
I
¼
=478>6>656@]7<*-0-,e*-˜O!7)7'G«Z“&85f0-45A,3>A40¥M
¼ & Pk{-*=!,e7<*?78P I Zv,
M 8M¡i&8=s[ 9 Y8I I K¥[+&85Ç?=7<*c!,3*x{-78{-5
ƒ ‚
zf[-45AR,e0-i&85¡=i&v*”5A[-7†ga![+&v!¡,.P%EHG-,35¡H
0->6,e:v&v!6,e:8454Zq![-*š&89e567 7'GŒ&8*0 GŒ&v>6 Pk{*-=!6,37<*-5u78P I M
zf[-,35—&8@-@->A7c&8=s[š{56,3*˜d![-”>6567<9.:<4*c!,e*-0-,e=i&v!645u![+&v!—,e!Ž,35’@785656,e$-93?!7B7<! $!&8,3*¸567<2!6[-,3*-˜B=47<*m/
!,e*x{-7<{-5L:<* gu[-*a![->6j&8>A2L{-9.!,3@934,3˜84*c:v&893{-54M —5#937<*-˜š&85O*-74,e˜<4*c:v&89e{-45L7vP EKGŽ[-,eF
! ŸZ
![¸#@>645A56,e7<*È_ › t 9 Kl GAIXQmK À QD0-@*-0-5B=47<*c!,e*x{-7<{-5A9ewT7<* I M©¢hwa![œ u45A,30-{-•zf[-7<>62¸ZRPk78>
i&v=s[ I !6[-,35?,35³!6[-56{-2§78Ph![-@->A7 2A4=!,378*-5”78*x!67œ&v939Œ˜<*-4>6&893, 40D,3˜<*-56@+&v=445”=47<>A>656@]7<*-0-,e*-˜•!67
4,e˜<4*c:v&89e{-45f,e*j!6[-?0-,35 C4*=493785640•$cw ¡Z-567'![-,e5f56{-2 7vP@->A7 2A4=!,e7<*-5u,35u&89.g&iwm5u=47<*c!6,3*x{-7<{-5M
! "
D”*-7†g 5A[-7†gF[-7†g ![->6567<9.:<*x!—=i&8*¸${-5A40œ!67d˜<,.:<&Pk7<>A2L{-93&OPk78>u!6[-56@]4=!6>&89¡>&v0-,3{-5u78Po&8*
7<@]4>6&v!7<>Žgu[-,3=s[ 0-7m45—*-78!>A4x{-,3>A Cx*-7†gu,3*-˜!6[-O56@]4=!>A{-2 #@93,3=,e!69ew]£!6[-,35³,e5³56782B!,3245’{-56Pk{-9
M
—5u$]Pk7<>A8Z+9e!ŽCVEšGI
"#Khgu[4>6#"p,35(+*,e!?0-,e2B*-56,e7<*+&89JMzf[-*
l'IXQqKon IJC`_®QxbqKr+t
,35?&j>&v!6,37<*-&89G?IJ"LKŽ/Ž:v&893{-0Pk{-*-=!6,37<* 78PQ•gu,.![ @789345&v!!6[-'4,e˜<4*c:v&893{45?78PRCuMN¤* PX&8=!4Z;Pk>A7<2
(R>&824>A5u>6{-9e³gR5&ig !6[+&v!
l'IXQmKon.1 0 IXIJQqQmK K y
gu[-4>A IXQqK,e5o&8*'G?IJ"LK;/;:v&893{40'@789ewm*-7<2,Í&89x,e*BQ?78P]0-˜<>6 !—_œ’&8*-0 .10 ,e5Œ![-f=s[+&v>&8=!4>A,35‘!,3=
@789ewm*-7<2,Í&89v78P“CfMo–m,3*-=h0-˜ .:0 V0-˜ Z8,.!¡Pk7893937†gu5 ![-&v!Ÿl'IJQmK¥,35;[-7<9e7<2B78>6@-[-,e=Œ!784 &8*-0:v&8*-,35A[-45
![->6v£ ,
M 8M.Z™Pk7<>—93&8>6˜8 ¶ Q ¶ Z™l'IXQqKu,35’˜<,e:84*$cw&=7<*c:<4>A˜<4*c!@]7gh4>5A4>A,345—,3* t gu,e!6[ 4>67)=478*-5A!&8*c!
!>62•M®`j=i&v*H,e0-4*c!,.P w`!6[-¸=7q =4,3*c!5',3*a![,35'56>6,35¸Ikgu[-,e=s[V&8>A E GI
Ä "#KAKL{-56,e*-˜\¹’4{2d&8**
56>6,354|oPk7<> ¶ Q ¶ 56{ =4,e4*c!9.wj9Í&8>A˜<8Z
¼ ¼
¼ ¼
l'IXQmKŒn _’Q-r+tIXb#_®Q-r+t«ChKr+tWn _—Qr+t » ¼ º Qr C n _ » ¼ º C Q-r r+t—°
½¨
½¨
zf[-)=47m& =,34*c!65L,3*`!6[- #@-&8*-56,e7<*T&8>A IX2,3*x{-5K?![@7†gh4>A5O78PŽCfM ,“78>#&8*cw`56{-$-2#{-9e!6,3@-9e,3=i&^!,e:8
*-7<>A2%7<*jG?I
"#KZ!6[-,35f5A4>6,e45Ž=47<*c:84>6˜845uPk7<>L±Q r+t C³± · 8Z-,
M 8M.Z-Pk7<> ¶ Q ¶ ±C³±M
Ž=i&89e9™Pk>67<2 =47<2@-93 #j&8*-&89ewm56,e5![+&^!f![-?>&v0-,3{-5f7vP=7<*c:<4>A˜<4*=4 "L7vPŒ&O@]7gh4>Ž56>6,e45
¼ ¼
»¼ º L
½¨ !
=i&8* $])=s[+&8>&v=!>6, 440 ,3*®!¤gh7 g&iwm54|j(+>65‘!iZh&85L![•>6&80-,e{-5O78Pu![-j93&8>6˜<5A!O78@*H0-,eD5 C`&8$78{!O![-
7<>6,e˜<,3*•,3*•gu[-,3=s[š!6[-#Pk{-*=!,e7<*œ0(+*-0 $xw•![#56>6,e45³[+&v5³&d[-78937<27<>6@[-,3=?/ #m!64*-5A,37<*¥Z¥&8*-0š5A4=478*-0
0-,3>A4=!9ewd,3*)!>625f78P!6[-?=47m& =4,e4*c!5u$cw)![?Pk78>62L{-93&
n 9e,32 ¼ ¶ ¼ ¶ °
"
º
zf[-45A”=s[-&8>&8=!>6, 4&v!,e7<*-5Ž&89e567O=i&v>6>Aw7:84>u!7'7<@]4>6&v!7<! >«/1:v&89e{-40)5A4>6,e45
¼ ¼
¼
»¼ º E L
Ikgu[4>6
E EšGI
"#KAKM
¨½
–q{-=s[ &564>A,35³&89e567[+&85³&>&80,3{-5Ž78Po=7<*c:<4>A˜<4*=4 "mZ&v*-0œ$]78![œ=s[+&8>&v=!>6, i&v!6,37<*-5u˜<*-4>6&893, 4v|R![-
(+>65‘!Ž,35f{-*-=s[-&8*-˜<0¥£+![-?56=47<*0œ$]4=4782B5
¼
¼
¼
n 9e,32
±E ± °
"
º
¼
¼
¹’78!6![+&v!f!6[-?/ #q@->A4565A,37<*
93,e2 ± E ± ,35Y,3*-04@]4*-0-*c!f78P¥!6[-—*-78>62µ7<*dGI
"LKo$cwB!6[-³¹Žº 7<>6
2 ox{-,e:v&89e4*-=—zf[-7<>62 5A,3*-=—G?IJ"#KW,35W(+*-,e!6/
0-,324*56,378*+&89
M'zf[-56B=s[+&8>&v=!>6, i&v!6,37<*-5?,e*\!6[-B78@>&v!67<>‘/
:8&v93{-0\=4&856=i&v*`$]B7<$q!s&8,e*-40\$cw =47<*q/
56,e0-4>A,3*-˜O![5A4>A,345fPk7<>f4&8=s[œ=7<2@7<*4*c!u,3*•&8*cw)2B&v!>A, #d>64&893, i&v!6,37<*¥M
—@[email protected]![456?!¤gh7B=s[+&v>&8=!4>A, 4&v!,e7<*-5!7'![@]7†gR>u564>A,35
¼ ¼
» ¼ º C Q r ,3* Q r+t
½¨
<
3
—v—^e
Pk7<>_—Qxl'IXQqKªM` Cx*-7†gµ![+&v!#l'IJQmK,35[-7<9e7<2B78>6@-[-,e=O,3* ¶ Q ¶ ]IJCYKdIk,3*-=93{-0-,e*-˜•&v! 4©K&8*0`![+&^!
l'IJQmKŸ[-&85o@789345W&^!oi&8=s[4,e˜<4*c:v&89e{-f78PCfZm5A7![-u56>6,e45o=478*x:84>A˜<45YPk7<> ¶ Q ¶ ]IJCYKZc$-{q!h,e*O*-7?9Í&8>A˜<4>
0-,eD5 C)&8$]7<{6! 4 Mozf[5A4=7<*-0¸Pk78>62L{-93&L˜<,e:845
¼
¼
QB| ¶ Q ¶ 93,e2 ±C ± º
&85f![93&8>6˜845A!0-,35 C78PŸ=47<*c:<>6˜<*-=4vZ¥&8*0j!6[x{-5
¼
¼
]IJCYKYn 93,e2 ±C ± °
º
N1PCE GI
"#KO[+&854,e˜<4*c:v&89e{-45 7 t yi°i°i°y 7 $ ZR>A4@]i&v!640Vgu,.![ 2L{-9.!,3@93,3=,e!6,345ZŒ![-*H!6[-
4,e˜<4*c:v&89e{-45f78PC &8>6"7 t yi°i°i°y7 $ M
ƒ ‚ zf[,35R,e5R&56@]4=,Í&89“=i&v56—7vP¥![-³–q@]4=!6>&8
9 œ&8@@-,3*-˜”zf[-478>642µgu[-,e=s[Bgh—gu,39e9+5A!{0w567m7<*¥M
N1PoC [+&85u56@]4=!>&v9¡04=4782B@]¼ 7<56,.!,e7<*
¼
gu[->6
Can » I 9
½t
N 9 9 L=9
NO9XK
W
n »
¿
n » I 9
½t
9 L=9 W N 9 Kªy
9r YN
9
Y
\ Â
½t
,35f*,393@]78!64*c!iMŒzf[”>A456{9e!fPk7<9e937†gu5RPk>6782 ![-?{-*,3x{-4*4565Ž78P¡![-?5A@=!>6&89;0-4=7<2@7<5A,e!6,37<*¥M
Y
<7 *V!6[- –q=s[x{->)z¡>6,3&8*-˜<{-93&8>6,i&v!6,37<*Tzf[-7<>62¸ZŽ7<>B$xw
87<>A0+&8*dPk7<>A2¸Zm{-5A,3*-˜O&”$+&856,e578PŸ" Pk78>hgu[-,e=s[![-’2d&v!6>6,#78P¡C ,e5R{-@@>R!>A,Í&8*-˜8{-9Í&8>Mzf[-—0-,Í&8˜87<*+&89
49e424*c!5?78P&)@7†gh4>78Pf&!>A,Í&8*˜<{-9Í&v>³2d&^!>6, #&v>6O![+&^!”@]7†gR>”7vPh!6[-B0,Í&8˜<78*+&89932B*x!65”7vPh!6[-
2B&v!>A,#MŒzf[-?>656{-9.!uPk7<939e7gu5M
" N1PŒ0-,e2Î" · 4 Z+CHEšG?I
"”KZ“&8*0 ±h²±³,e¼5u&8*cw)*-7<>A2%7<*jG?IJ"LKZ!6[-4*
¼
]IXCYKYn 9e,32 ±C ± °
º
ƒ ‚ ’9e!64>6*-&v!š@>67m78Pk5d=4&8*©$¸$+&85A40
`?[+&i:8#&89e>64&80w5A[-7†gu*¸!6[+&v!
¼
¼
]IJCYKYn 93,e2 ±C ± y
º
567'ghD2A{-5‘!’[-&†:8”!67B5A[-7†gÈ![-93,e2B,.!#,e5A!654Mf¢hw*-7<>62 x{-,e:v&89e4*-=8Z+![-?9e,32,e!#q,35A!65’,e*¸78*-”*7<>62
,eÌ ,.!—#q,35A!65—,e*œ:84>‘wœ*-78>62•Z]5A7,e!Ž5A{ =445³!67d5A[-7†g ![-”93,32,e!/#q,35‘!5—,.P³±²+±,e5’5A{-$-2L{9e!,e@-93,e=i&v!6,e:88M
!O±h²-±³$]56{-$2L{-9e!6,3@-9e,3=4&v!,.:<¼ 8MŸzf[-4
* ]I¼ JCYK ±C³±Mh¼ ¢Yw![-?¼ 9e422d&Z ¼
]IXC Kon ]IXChK 567 ]IJCYK !
n ]IXC K ±C ±°
¼
zf[x{-5
¼
¼
]IJCYK ¼ 93,e2 ±C ± 9e,32 ±C ± n ]IJCYK°
º
Z+567'![-?9e,32,e!h/#q,35‘!5Ž&8*-0•,35 ]IXChKªM º
zf[-,35Pk7<>62L{9Í&šPk¼ 7<>O![-¸56@]4=!>&v9Ž>6&80-,e{-5 ]IXCYK'78PC &8939e7gu5'{-5!7\/#m!*-0Î![¸=9Í&85A5B78P³7<@>‘/
&v!78>65š,e*ÈG?¼ I
"”K•¼ Pk7<>•gu[-,3=s[Ègha=i&8* ˜8{+&8>&v*x!64®!6[+&v!š=4>‘!s&8,e* 564>A,35š=47<*c:84>6˜88M Ž=i&89e9”![-&v!š,.P
I L<K)n ¼ º ½ ¨ L ,e5'[-7<93782B7<>A@-[-,e=dPk7<> ¶ L ¶· " &8*0VC}E G?IJ"#KL5&^!,35‘(+45 ±C³± · "šPk7<>'5A7<2B
56{-$¼ 2L{-9e¼!6,3@-9e,3=4&v!,.:<u*-7<>A2¸Zm![-* IJCYKh=4&8*)$—0-(+*40•&85R!6[-³93,e2B,.!W78P;![-—*-7<¼ >62O/¤=7<*c:<>6˜<*x!564>A,35
¨ C M\N¤*®! PX&8=!4Zo![-,e5L56>6,35O=47<*c:84>6˜845{-*-0->L![-\IX&8@-@+&8>A4*c!9.wDghi& C84>K&v5656{2B@!6,37<*D![+&v!
½
º
]IJCYK · "m|o=s[-7q7856
['5A7!6[+&v! ]IJCYK ¼ W · "m£Pk7<>ŽÇ)56{ B=,3*x¼ !69ew)93&8>6˜88Z±C ± ]IXCYK W 4Z+567
¼
¼
!
»¼ ± C ± » ¶ ¶ I ]IJCYK sK · 4 °
W
!
,+7<>f/#&82@-93vZ![”¹Ž4{-2B&8*-*•56>6,e45
!
¼
IXb”_TChK r+t n » ¼ º C
½¨
=47<*c:84>6˜845#gu[-*-:84> ]IXCYK · <MBN1!”2B&†wš[+&8@-@]4*\![+&v! ]IXChK · B&8*-0\w<!¸±C³± BPk7<>=4>‘!s&8,e*
*+&v!6{->&89*-7<>625IX9e,CvL![-O7<@]4>6&v!78>*-7<>625,3*0-{-=40D$cwš!6[- *-78>625³7<*D~@$™Zo . 4©KM ’*
/#m!>A42³=i&v56³7m=4={->65Rgu[4*•Ca,35R*,393@]78!64*c!iZx567 ]IXCYKYR
n [Zq${!L±C³±u=i&8*d$³93&8>6˜8LIk8M ˜-MŒ![-—2d&v!6>6,#
¨
[ [ t
£
[ ¼ [
¼
¼
,3*)![,35f=i&v568Z“78PŸ=478{->65A8Z]&8*cw)56>6,e45 ½ ¨ C =47<*c:84>6˜845—5A,3*-=?,e!!64>62,3*-&v!5(+*-,e!649.w<M
zf[-hPk7<9e937†gu,3*˜fm{45A!6,37<*#[+&85Ÿ&8>6,e564*”º &’=7<{-@-9eh7vP!,e2B5;,3*?![-Y0-,35A=4{-5A56,e7<*#78P![-Y56@]4=!>&v9m>6&80-,e{-54|
˜<,e:84*j& ƒ CHEšG?I
"”KZmgu[+&v!,e5h!6[-³,3*q(+2L! {-2µ78Pf±C³±Ž&85±Œ²<±u>&v*-˜<45R7:84>f&v939]56{-$-2#{-9e!6,3@-9e,3=i&^!,e:8
*-7<>A2B57<*\G?IJ"#K ž [-&v!?,ePYgR7<*-9.wš=7<*-56,e0-4>?7<@]4>6&v!78>*-7<>6257<* G?IJ"LK—,3*-0{-=40D$cw *-7<>A2B578*
" œËŽ7g &8$]7<{!f>A45‘!>6,e=!6,3*-˜#Pk{>A![4>!7O78@>&v!67<>*-7<>A2B5R7<*)G?I
"”KR,3*-0{-=40•$cwd,3*-*->@->A7q0-{=!5f78*
" š` Cx*-7†g ![+&^! ]IXCYK ±C³±,3*)![456”56,.!{+&v!6,37<*54MYN1!Ž!6{->6*5’7<{q!’!6[+&v!u![-,3*q(+2L{-2%,e*ji&8=s[š7vP
![-5656,.!{+&v!6,37<*5,35Ž&8=!{+&89e9ew ]IJCYKM
" ,e:<* E E ~ $'&$ &8*0 [Z-![->6?/ #q,e5A!5’&'*-7<>62 ±R²-±—7<*œ~ $ Pk7<>fgu[-,e=s[¥Z+,3*j![-
7<@]4>&^!7<>f*-78>62%,e*-0-{-=40•$xw`±R²-±Z-gh?[+&i:<j± EB± ]I EK W 4M
‹ …^
* EF&8*-
0 4M
Š zf[-?*-78>62%0-@*-0-5Ž7<
(R[-7q7856”&8*j,3*c:<>A!,e$-932B&v!6>6, # Á E%~ $&$)Pk7<>gu[-,3=s[
œn Á r+t E Á
,35f,e* 878>60+&8*jPk7<>A2¸MD>6,.!
œ
n W! Z-gu[->6
nž0-,3&8˜’I 7 yi°i°i°y 7 K
$
t
,35u![-”0-,Í&v˜<7<*+&89;@+&v>A!’78"P a&v*-0 ,e5—&2d&^!>6, #)gu,e!6[š7<*-9.w 4>67*x!6>6,e45— #q=44@q!@785656,e$-9ew)Pk78>’5A7<2B
7<*-<IX5sK7<*j![?(->65A!Ž5A{-@>60-,3&8˜<7<*-&89WI ]ŸF
n \ W †KMY !
›
#´nž0-,3&8˜’I‘<$y 4%y y4°i°i°4$y $ r+tAKª°
3
—v—^e
[
zf[-*
, ,/¤#D*7<&8>6*c2 w
.
#•r+t% #
ug ,.![Î .
±h²± 7<*¸~@$™Z
&8*-0a± ¶ ¶ ± <Z-5A7
W
¶±
\ ]I E³K
!
W
$&$
,3*0-{-=40a$cwD!6[-
n ]I EK
4°
± ±fn´± #jr+t Á r+t ± °
zf[-*
± EB± n
n
ƒ ‚ †„ ± ¶ ¶ ± nž2d&M# + ¶ 7'Y ¶ |-
± ¶
³(-*-)±R²-±’7<*•~%$¸$cw
J#>6=,356v|–m[-7†g
4
n W °
Mšzf[-4*T,e*`![-d7<@>&v!67<>#*7<>62 ± ¶ ² ¶ ± 7<*T~
Á
Á
Á
5A{-@ ¨ ± ± E ± ± n 65 {-@ ¨ ± ± E Á #
#¡;± ± n 56{@ ¨ ± # r+t ±+r ;t E± #;± ½ ½ ½ ± W ¶ ± ]I E³K W ?°
![-&v!ugR?=i&v*¸=s[-7m7<5A#&8*j,e*-*-4>f@>67m0-{-=!Ž7<*¸~%$)gu[-,3=s[•,3*0-{-=45’5A{-=s[š&O*-78>62•M
I‘†Kjzf[-,e5f@->678@7<5A,e!6,37<*),e5fi&85A,39ewd/#m!*-0-0œ!7CVEšGI
"#KRPk7<>f0,32V" · 4 ¼ M ¼
¼
I 8Kjzf[-,e5)@->678@7<5A,e!6,37<*©˜<,.:<5¸&v*-78![4>j@->67m78P![+&^!j,eP I L<KDn º ½ ¼ ¨ L¼ ¼ ,35)[-7<9e7<27<>6@-[,3=¸Pk78>
¶ L ¶· "'&8*0šC©E G?I
"”Ku56&v!,e5A(+5 ]IXChK · "qZ+![4*¸!6[-564>A,35 ¨ C =47<*c:84>6˜8454|f=s[7q7<5A
½
[œ5A7š![+&v! ]IJCYK
· "qZ&8*-0®!6[-4*a=s[-7m7<5A)&œ56{$-2L{-9.!,3@º 93,3=4! &v!,.:<O*-78>62 7<*®G?IJ"#K?Pk78>
W
gu[-,e=s[ ±C³± ]IJCYK W 4£-!6[-4*T±C³± · "L&8*-0j![-?56>6,e45u=47<*c:84>6˜8454M !
I<K¸¦³*-Ž=i&8*B{-56u![³–q=s[x{->hzŸ>A,Í&8*˜<{-9Í&v>6, 4&v!,e7<*Lzf[-7<>62µ,3*-5‘!i&v0d78P 87<>60+&v*BPk7<>A2p,3*'![-Ž@->A7q78P«£
5A4 422d& qM M. [L,3*•Ëu/ M
`?=7<*-=49e{-0-![,35f0-,e56=4{5656,e7<*•78PŸ!6[-?56@]4=!¼ >&v9¡>6&80-,e{-5gu,e!6[j!¤gh7=47<>A7<9393&8>6,e45R7vP![?Pk78>62L{-93&
¼
]IJCYKWn 93,e2 ±C ± Pk7<> CHEšG?I
"#K
º
¼
gu,e!6[j0-,32V" · 4 M
]IJCYK · ?,éC € [M
¼ ¢hw¸*-7<>A2}4x{-,e:v&89e4*-=8Z™ghL¼ 2B&iw¸{56O&d5A{-¼ $-2L¼ {9e!,e@-93,e=i&v!6,e:8¼ *7<>62 7<*šG?IJ"#KªM³N1P ]IJCYK · <Z
=s[-7m7<56 [”gu,e!6[ ]IJCYK W · ¼ <-M ,+7<>Y9Í&v>6˜<—ÇZŸ±C ± I ]IJCYK W sK € [L&85ÇB€ 4 ZM (R7<*c:<>65A49ew8Z
,ePfC € [Z!6[-4*ŽÇ gu,e!6[ ±C ± · <ZŒ5A7 ]IJC K · 8ZŒ567š$cw\![-B932B2B&Z;![-,3˜<*c:8&v93{-5
7 yi°i°i°y 7 78PCÎ&89395&v!6,35‘P w®+± 7 Y ¶m· ”&8*-0)![x{-5 ]IJCYK · <M
$
t
¼
]IJCYK · ?,e̜![->6?,35u&O56{$-2L{-9.!,3@93,3=4&v!,.:<Ž*-7<>A2%7<*jG?I
"”Kf&8*•&8*-0•&8*•,3*c!˜<4>ŽÇ 56{=s[¸![-&v!O±C ± · <M
& /(AB$',.0/(+<;
+<;A#& ; &(=
³¦ {->³9Í&v5A!&v@-@-93,e=i&v!6,37<*•78PW>A456789e:<*c!5,35’!70-(+*-LPk{-*=!,e7<*-5³7vPY&8*7<@]4>&^!7<>M—`#0-7![-,e5—{-5A,3*-˜&
2B![-7m0j@->67†:m,30,3*-˜'˜<7m7q0)78@>&v!6,37<*+&v9™@->A7<@>A!6,345Z+567'![-,e5f,35f=4&8939e40j&OPk{-*-=!6,37<*-&89 A=4&893={-93{-5M ;!?C E`G?IJ"LKŽ&v*-0š56{@-@7856L![-&v! ,35Ž[-7<93782B7<>A@-[-,e=,e*š&d*4,3˜8[m$]7<>A[-7q7m0•78Po![-”=49e7<56{->A#78Po&
$78{-*-0-0®7<@]4*`5A
! X´~pgu,e!6[ t $]7<{-*-0-&8>Aw\5&^!,35‘P wm,3*-˜•UWIJCYK X)M ,+7<>/ #&82@-93vZ §=7<{-930
$&j9Í&8>A˜<O0-,eD5 Cš=7<*c!s&8,e*-,3*-˜j&v939!6[-'4,3˜84*c:v&893{-5?78PfCfZ;7<>![-'{-*,37<* 78PR562B&8939Ÿ0-,35 Cm5”&8$]7<{!?4&8=s[
4,e˜<4*c:v&893{8Z“7<>’&8*š&8@@->67<@>6,Í&^!”&8*-*x{-93{5’=4*c!>640 &^! [ ,ePoCÎ,e5’,e*c:<4>‘!,e$-93vM ,.:<?![-=4{->‘:<
![-7<>A,34*c!&v!,e7<* ,3*-0-{=440`$xw!6[-$7<{*-0+&8>‘wD7v
P IX,JM vMB!6[-gu,e*-0-,e*-˜¸*x{-2#$"
> !ŒI )y LcK#n BPk7<>
LB
E µ&8*0)V
n [?Pk7<> LE~Y \ MÊK”D—0-(+*- IXCYKY$cw>64x{-,e>6,e*-˜”!6[+&v!Y![- (&8{-=s[cw,e*x!64˜<>6&89+Pk7<>62#{-9Í&
Pk7<> 56[-7<{930j[-7<9e0¥M
IXChKWn _ ]
IJQmKAl'IXQqK À Q”n
]
IXQqKIJQcb?_TCYK r+t À Q+°
 O(+>A5A!7<$-5A4>A:8!6[+&v!!6[-O0-(-*-,e!6,37<*78P IXChK—,e5,3*-04@]4*-0-*c!#78PW!6[-'=s[-7<,3=O78PjMON¤*PX&8=!iZ
`
56,e*-=4 IJQmKAl'IXQqK™,e5[-78937<27<>6@[-,3=o#=4@!oPk78>Ÿ@]¼ 7<935Œ&v!¡![4,e˜<4*c:v&893{457vP“CfZ8gRR[+&i:<$cw![->A45A,30-{-
![-7<>62%![+&^!
IXChKWn _ » '(+* ½-, I ¬ IJQmKAl'IXQmK«¯Jy
9
Ä
½t
gu[-,3=s[',e5o=4934&8>69.w,3*-0-@*-0-*x!Y78P]![f=s[-7<,3=f78P )MŒN¤*O![-f5A@=4,Í&v9-=i&85Agu[-4>A t XO›†Zc,e!Pk7893937†gu5
Pk>67<2 (&8{-=s[cw * 5’![-7<>62 ![+&^!
I XQqK‘l'IJQmK À Q³_ IXQmKAl'IJQmK À Qn IJQmK‘l'IJQmK À QnR[
!
56,e*-=4 IXQqK‘l'IJQmKh,e5f[-7<93782B7<>A@-[-,e=—,3*"O›ª t Mozf[-,e5’&v>6˜<{-24*c!u=4&8*¸$]?˜<4*4>&v93, 40•&85fgh4939JM
¹’/#m!4Zqgh—56[7gV![+&v!Y![,35W0-(-*-,e!6,37<*78P IJCYKY&v˜<>645Wgu,e![B@->6:m,37<{-5Y0-(+*-,e!6,37<*54M@,+7<>o#-&v2B@-9e8Z
56{-@@7<5A ,e5u!6[-?=47<*5A!s&v*x!uPk{-*=!,e7<* <Mo¼ zf[- *¸![>A45A,30-{-!6¼ [-47<>A42 ˜<,.:<5
N1P IJQmKBn Q $¸Pk7<>'&8* ,3*c!˜<4>
$ 78{-*-0+&8>‘w ¡+Z 567
IXChKWnF_ »
!
l'IXQqKon » L=9™nžb“°
I
½
,
9
9
Ä
½t
½t
[Zo![-* !&C8#
!67\$]•&9Í&8>A˜<0-,e5DC®=7<*c!s&8,e*-,3*-˜UoIJCYK”gu,e!6[
IJCYK n
'(+*
Q $ JI Qcb_TCYKsr+t À Q
]
n
¬eIXQcb#_aCYK W ŒC ¯ $ IXQxb_TCYKsr+t À Q
» $ ¿ ! C Y JI Qcb_TChK $ r Y r+t À Q
\ Â
] Y ¨
½
» $ ¿ ! C Y IXQcb#_aCYK $ r Y r+t À Qj°
\ Â
Y ¨
½
]
n
n
3
—v—^e
,+7<>@\
· ! Z-![,e*c!4˜8>&8*-0j,e5f[-7<93782B7<>A@-[-,e=—,3*")Z+567$cw^(&8{-=s[cwj![47<>A42
,+7<>@\On
IJQcb_TChK $ r Y +r t À QLn [ °
!Z-gh78$!s&8,e*
IXQxb_aCYK r+t À Q”nžb
8& 5?&8$]7†:<vZ¡5A7 IJCYK—n C%$•&850-56,e>640™MLN1!Pk7<939e7†gu5—![+&^!³![-,e5*-g 0-(-*-,e!6,37<*78P IXCYK³&8˜<>645gu,e!6[
![{56{+&89 0(+*-,.!,e7<*j78P IJCYKhgu[-4* ,35Ž&O@7<9.wm*-7<2,Í&89JM
(R7<*-5A,30->Ž*/ #m!’!6[-?=i&85A?,3*)gu[-,3=s[
¼ ¼
IJQmKon » ¼ º Q y
¨
½
gu[-¼ >6œ!6¼ [-š¼ 56>6,e45=7<*c:<4>A˜<45)Pk7<> ¶ Q ¶u· "qM `œ[+&i:<! 564*Î!6[+&v!),.P ]IJCYK · "mZ![4*Î![š56>6,35
¨ C =7<*c:<4>A˜<45B,3*T*-7<>A2¸M\`)gu,e939R5A[-7†g !6[+&v!O![,35O0-(+*-,e!6,37<*T78P IXCYK•I :m,Í&œ![•5A4>A,345K
&8˜<>Aº 4½ 5ugu,.![j7<{->u*-gÈ0-(+*-,.!,378*•7vP IXCYKIk:m,Í&O=478*x!67<{->u,3*c!64˜<>6&v!,e*-˜xKM@(R[-7q78 56
!
X
Q| ¶ Q ¶<· " D?gR&8*c!u!7'56[7g ![+&v!
gu,e!6[jUWIJCYK
X%&8*-0 _
¼ ¼
C °
IXQqK‘l'IJQmK À Q?n » ¼ º
½¨
¼ ¼
Q °
]
–q!
X
Q| ¶ Q ¶c· " °
!
»¼ J
I
m
Q
Œ
K
n
½¨!
zf[-* € {-*-,.Pk7<>629ew—7<*#=7<2@+&8=!Ÿ56{$-56!5Œ78P QB| ¶ Q ¶c· " 8£ ,3*@+&8>A!6,3={-9Í&8> € { *-,ePk7<>A2B9.w
7<* ¡MWN1PELI I K,35f&'=478*x!6,3*x{-7<{5ŽGI
"#K1/1:v&89e{-40)Pk{-*-=!,e7<*)78P I ET¬ y ¯
Z-!6[-4*•Pk7<>f&8*cwj*-7<>A2 <7 *•G?IJ"#KZ
ELI I K À I ± EOI I K†± À ! I
Ik!6[-,35Pk7<9e937†gu5³Pk>6782 ! [-'!>A,Í&8*˜<93O,e*-4x{+&89e,e!¤wš&8@-@-9e,340!67•!6[-d u,32d&v*-* 56{-25#&v@-@->67 #q,32B&v!6,3*-˜!6[-
,3*c!64˜<>6&8935{@7<*j!s& Cm,e-* ˜'93,e2B,.!5sKªMŒ–m7
I IXQqK¡_ IJQmK6K‘l'IJQmK À Q
¶ IJQmKŸ_ IXQmK ¶ ²-±l'IXQqK†± À ¶ Q ¶ °
–q,e*-=4±l'IXQqK†±—,e5f$78{-*-0-0¸7<*5¡Z-,e!fPk7893937†gu5R!6[+&v!
93,e2
IJQmK‘l'IJQmK À Qn
º
,3*j*-78>62•Mo¢R{! ,e5u&'@]7<9.wq*7<2B3, &89
Zx5A7
_ ]
IJQmK‘l'IJQmK À Q
IJQmK‘l'IJQmK À Q?n IJCYK
&85Ž&8$]7:88MWzf[x{-5
¿
_ ] IXQmKAl'IJQmK À Qn 93,32 _ ]
º
&8*-0j![-!¤gh7B0(+*-,.!,e7<*-5f78P IJCYKf&8˜<>A4vM
»¼
IXQqK‘l'I ¶ LcK À Q  n 9e,3 2 IJCYKon º ¨
½
º
¼ ¼
C y
!
"
" " ! N1PoCVEœG?I
"”KZ“Q t sy Q›Eš
S UWIXCYKZ“&8*-0¸Q t n S Q›iZ-![4*
_Tl'IXQ›ªK °
l'IXQ t K ul'IJQݻKWn l'IXQ Q t K_T
t Q›
l'IJQ t K_Tl'IJQ›ªKon l'IXQ t K IJCD_TQ›bqKAl'IXQ›ªK_al'IXQ t KIJCD_TQ t bqKAl'IXQ›sKWnpIXQ t _aQ›ªKAl'IXQ t K‘l'IJQ›sK°
" –m{-@-@]7<56'C E`G?I
"LKŽ&8*-0 t &v*-0 ›?&8>A#$]78![[-78937<27<>6@[-,3=?,3*š&d*-4,e˜<[x$78>6[-7m7q0
78PŸUWIJCYKMWzf[-*
IJ&cK I t t W › ›ªK4IXChKWn t t IJCYK W › ›^IXCYKZ“&8*-0
IX$“K\I ! t ›K4IXCY! Kon t IXChK ! ›IXChKªM !
IJ&cKRPk7<9e937†gu5,32240-,3&v!9ewOPk>6782 ! [-?9e,3*-4&8>6,.!¤wB7vPŒ=478*x!67<{->u,3*c!64˜<>6&v!,e7<*¥MŒ¢Yw![-?9e422d&Z
À
X
I
Y
C
K
›
X
I
Y
C
K
n
J
I
Q
A
K
'
l
X
I
Q
K
Q
›
t t ›^IXQ›ªK‘l'IJQ›sK À Q›
t
I ]1K t t
n I ]1K › IXQ t K IJQ›ªKAl'IXQ t Kul'IJQ›ªK À Q› À Q t
l'IXQ›ªK À Q› À Q °
n I ]1K › IXQ t K IJQ›ªK l'IXQ Q t K_T
t
t _TQ›
zf[x{-5ŽPX&v>4%Z t &8*-5
0 m›Ž=7<{-9e0•$]?&8*cw)={->A:845—*-=4,e>6=93,3*˜LUWIJCYKª£-![-?=4{>A:<5’=7<{-9e0•=>67<5A5Ž&8*-0j![->6?,35
*-7@->67<$9342 56,e*-=4
l'IJQ t K_Tl'IJQ›sK
Q t _TQ›
/#m!*-0-5Ž!7Q t n Q›4Mhˎ7†gR:<4>Z]gh?g&8*c!Ž!7'56@93,e!u{@•!6[-l'IJQ t Ku&v*-0œl'IXQ›ªKR@,34=45Z]5A7gh*-40•!67
2d& C8u56{->Af![-u=4{>A:<5R0-78* * !Y=>67<5A54@M ,+7<>o0-(+*-,.!4*4565Z9e! t $f![Ž{*-,37<*'78P562B&89e9=4,e>6=9345W&v>67<{-*0
i&8=s[¸4,e˜<4*c:v&893{78PŒCfZ“&8*0•9e! m›Ž$![{*-,37<*j78PŸ569e,3˜<[c!69ewB9Í&8>A˜<4>=,3>A=49354Mozf[-*
›IXQ›ªK
IJQ K
t IXChK ›^IJCYKWn I ]1K › t IXQ t K‘l'IJQ t K Q t _®Q› À Q› À Q t _ ›†IJQ›sKAl'IJQ›ªK Q t t _atQ› À Q t À Q› °
3
—v—^e
–q,e*-=4?Q t e, 5f,3*-5A,30-(m›Ž$-{!ŽQ›Ž,35f78{!5A,30- t Z
›IXQ›ªK À Q›Rn ^›^IJQ K &8*-0 t IJQ t K À Q nR[y
t
] Q›Y_®Q
] Q _aQ› t
t
t
567
X
I
Y
C
K
^
›
X
I
Y
C
Y
K
F
n
_
IJQ K ›IXQ t K‘l'IJQ t K À Q t npI t ›sK4IJCYKªy
t
] t t &85u0-56,3>A40¥M
ƒ ‚
–q,e*-=4BI
›KIJQmKŒnpI › t KIJQmKZ IX$“K,32@-9e,345Y![+&^! t IJCYKf&8*-0 ›IXCYKu&v9egR&†wm5u=4782B2L{q!8M
t
‡3ƒ –q{-@-@]7<5AjC%E G?I
"”K#,35L,e*x:84>‘!,3$93)&8*0
IJQmKOn t Ma–q,e*-=4dUWIJCYKX~Y [ &8*-0 ,e5
[-7<9e7<27<>6@-[,3=³7<*œ~Y [ Z IJCYKu,e5u0-(+*40¥M’–q,e*-=4#Q”² t n t ²ÄQn <Z™C IXCYKRn IJCYK‘CVnÈb“Mzf[x{-5
IXChKWn C r+t Z-&85u/ #q@=!640¥M
Ä Ä
–q,32,393&8>69.w<Zx7<*-=4&8*•56[-7†gÈ!6[+&v!u,eP
I JQmKŒn . IJIJQmQmKK
,35u&O>6&v!,e7<*+&89]Pk{-*-=!6,37<*DI . y O&8>A?@7<9.wm*-7<2,Í&89e5sKW&8*-0•UWIJCY
K X QB| IJQmK³n S [ Z-![-*
IXChKWn . IJCYK IJCYK r+t y
&85u/ #q@]4=!40™M
zŸ75A!6{-0w)78{->u9Í&85‘!u7<@>&v!6,37<*-&89™@->A7<@]4>A!¤w IX=4782B@]7<56,.!,e7<*“KZxgh”*-40•!7',30-*c!,eP wdUWI IJCYK6KªM
! F!#AB$%"-+<; + q– {-@@7<5AuCÎEšG?IJ"#K&8*0
zf[-*
, /(7
!#.3"-!
,e5Œ[-7<9e7<2B78>6@-[-,e=h,e*'&*-4,e˜<[x$7<>A[-7m7q0L7vP™UWIXCYKfIX567 IJCYK,35gh49e9./10-(+*40“KªM
WU I IJCYK6KWn IXUWIXChKAK Š ‡ Š ‡‰‹ ‡ ‹
ƒs„
,
M 8M.Z],eP t yi°i°i°y $ &8>6![-#4,3˜84*c:v&893{-5—78PYC©=7<{-*c!,e*-˜2L{-9.!,e@-93,e=4,e!6,354Zq!6[-4* I t Kªyi°i°i°y I $ K’&8>A
![,3˜<*c:8&v93{-5f78P IJCY¼ K=47<{-*c!6,3*-˜'2L{-9.!,e@-93,e=4,e!6,354M
!87 t yi°i°i°y 7 $]³![0,35A!6,3*-=!u4,e˜<4*c:v&893{45u78¼ PCuZ-gu,.![•&89e˜<4$->6&8,3=—2L{-9e!6,3@-9e,3=,e!,e45
; yi°i°4°4Ay ; y
t
>656@]4=!,e:849.w<MY¢hw!6[-?>645A,30-{?!6[-478>642•Z
I XCYK n _ ¼ ] IJQmKAl'IXQqK À Q
n
_ »
½Ä , ¬ IXQqK‘l'IJQmK«¯J°
½t
¢hw!6[-?@+&8>‘!,Í&v9Pk>&v=!,e7<*-5f0-=47<2@]7<56¼ ,.!,378*)78PŸ!6[-?>6567<9.:<4*c!4Z
J
G
I
+
r
t
L=9
» IJQ?F
_’l'IJQmKon »
_ 7:9kK r r+t N
W
?
Q
F
_
1
7
9
9
½t
½t
9
'(+*
°
9
N1!uPk7<939e7gu5h![+&v!
_
'(+*
½Ä -, I IXQmKAl'IJQmK n
I 7:9kK L=9
n
I 7:9kK L=9
zf[x{-5
G I r+t
» '(+*
W
½t
G I r+t
»
W
½t
¼
½Ä -, I ¬ IXQmK4IJQ_?7:9XKr r+t¤¯ N
9
I 719 K N °
É ! 9
r+t I8K
I JCYKon » ¬ I 719 K L=9 W
É ! I 7:9kK N 9 ¯
9
½t
½t
zf[-,35O,e5O&8*T/#q@-9e,3=,e!#Pk78>62L{-93&¸Pk7<> IJCYK#,3*®!64>625L78Pu!6[-)56@]4=!>&v9f0-4=7<2B@]7<5A,e!,e7<*®78P’C &8*-0a![-
:v&893{-578P &8*-0 ,e!65³0->6,e:v&v!6,e:845&v !—![-O,3˜<*x:v&89e{-457vPRCfMdIXN¤*PX&8=!iZ¥![,35³=7<{-930[-&†:8'$4* {-560
!7B0-(+* IXChKªZ“$-{!³78{->u0-(+*,e!,e7<*•,3*¸!64>A2B5u78Po=7<*c!7<{>’,e*x!64˜<>6&v!,e7<*•[+&85u![-”&80:v&8*c!s&v˜<!6[+&v!’,e!
˜<4*4>&v93, 45!67!6[-?,3*(+*,e!ª/¤0-,e2B*-56,e7<*+&89“=4&856vM KB–q,3*-=
GJI
»
r+t É !I7 $ KN 9
½t
,35”*-,39e@78!64*c!#Pk78>#i&v=s[ ]6Zo,e!”Pk7<939e7†gu5!6[+&v!•I 8K,35![-IX{-*-,ex{-†K”5A@=!6>&8904=4782B@]7<56,.!,e7<*`78P IJCYKM
zf[x{-5
¼
UWI ¼ IJCYKAKon I 7 t Kªyi°i°i°y I 7 K n IXUoIJCYK6Kª°
¸7<>A47†:<>4Z,.P I 7 t Kyi°4°i°4y I 7 K &8>A0,35A!6,3*-=!iZ ![4*D!6[-B&893˜<$->&v,3=L2L{9e!,e@-93,e=4,.!¤w¸7vP I 719 K?&v5”&v*
4,e˜<4*c:v&893{#78P IJCYK’,35u![L5&82L&v5’![-&v!³78<P 7:9Pk78>³CfZ¥&8*0œ![-wœ[-&†:8L![-#5&82#,3˜<*-@->6M7 2A4=!6,37<*
L=9
MhN¤*•˜<4*4>&v9
Z-7<*”2L{5A!’&80-0j![-&89e˜<4$>&8,e=³2L{-9.!,3@93,3=,e!6,345h&8*-0•4,e˜<4*@->67 2A=!6,37<*-5u7†:<>—&v939!6[-7<5A
]ogu,e![)!6[-?5&82 I 7:9 KªM
G I
»
ƒ ‚ † „ I‘Kzf[-56@]4=,Í&89¥=4&856,3*gu[,3=s[šC 3, 5f¼ 0-,3&8˜<7<*-&893,i&8$-9e—,e5fi&85‘w!7'¼ >62B2L$]4>4|
,.P Can »
9
½t
719 L=91y
!6[-4*
IJCYKWn »
9
½t
I 719 K LS91°
I <Kj¦—![->u=47<*-5A4x{-*-=45³78PI8K&8¼ >A
!6> IJCYKWn »
`?*-7†g 5‘!{-0w=47<2@7856,e!6,37<*™M
9
½t
¼
;9
I 7:9kK &8*-0
0-! IJCYKon
$
9
½t
I 7:9kK G «I °
3
—v—^e
" q– {-@-@]7<5A)C´EžG?I
"”KZ t ,35#[7<937<27<>A@-[-,3=',e*®&œ*-,3˜<[x$]7<>6[7q7m0`78PuUoIJCYKZW&8*0 ›
,35[7<937<27<>A@-[-,3=#,3*\&•*4,3˜8[m$]7<>A[-7q7m0 78PhUWI t IJCYK6Kn t IXUoIJCYK6KIX5A7 › t ,35[7<937<27<>A@-[-,3=#,3*\&
*-,3˜<[x$]7<>6[-7m7m0)78PUoIJCYK6KªMYzf[4*
I › t K4IJCYKWn ›†I t IXCYK6K°
! O›’=7<*c!s&8,e*•UoI t XI CYK6Kf&8*-0•93! q›hn O›Mozf[-4*
› †I t IXCYK6KWn ] ^› IXQ›ªKIJQ›6b#_ t JI CYK6K r+t À Q›i°
˒>6vZ¡IJQ›6bL_ t IXChKAK r+t 2B4&8*-5u78PŸ=47<{>656?![,e*c:<4>A5678PoQ›b#_ t IJCYKMZ,+7<>( #q0šQ›ŽE6m›iZ-gh=4&8*
&89e567”&8@[email protected]![-uPk{-*-=!,378*+&89“=i&89e=4{-9e{-5o!7![-ŽPk{-*-=!6,37<*œIJQ›¥_ IJQ K6K r+t 78P Q !67#0-(+*-’!6[-,35WPk{-*-=!,e7<*
78P’Cf|)93! t =7<*c!s&8,e*aUWIJCYKL&8*-0T5A{-@-@]7<56j![+&^! t I t KX t Ot ›†£R![-*T56t ,3*=4•Q›•Em›,e5O7<{!656,30
I t KZ!6[-?2d&8@
t
Q t € IJQ?
_ ³_ t IJQ t K6Kr+t
,35f[7<937<27<>A@-[-,3=’,3*•&O*-4,e˜<[x$78>6[-7m7q0j78P t Z+567'gh=4&8*•:v&893{-&v!³!6[-,35Pk{-*=!,e7<*•78PŒCf£ 2A{-5‘!’&85Pk7<>
Q € Q
,3*)!6[-?/#&82@-93?&8$]7†:<vZ-gR7<$!&8,3*!6[-?{-56{+&v9 ,3*c:<>65678PŒQ›W_ t IXChKªMY–q7
IXQ›W_ t IXCYK6Ksr+ton _ ] IXQ›W_ t IXQ t KAKsr+t‘l'IXQ t K À Q t °
˒*-=4
› I t IXChKAK n _ I ]¤K › ›†IJQ›sK IJQ›W_ t IJQ t K6K r+t l'IJQ t K À Q t À Q›
n _ I ]¤K › l'IXQ t K Q›Y _ ›^IJQ›ªIXK Q K À Q› À Q t
t t
n _ ] l'IXQ t K ›I t IJQ t K6K À Q t
IJ&v5 !ŒI m›iy t IJQ t K6Kon †K
n I › t K4 IXCYK°
.073+"*,$
=>.32 /:90!#"%$-,) ;!
—5L&8*a&8@-@93,3=4&v!,e7<*¥Z¡93!OCµE
+$%"*,A !8=
G IJ"#K$],e*x:84>‘!,3$938M•`d=i&8*®=s[7q7<5Aj&œ$->6&8*-=s[a78Pu9e7<˜YQœgu[-,3=s[a,e5
?
[-7<9e7<27<>6@-[,3=—,e*œ&O*-,3˜<[x$]7<>6[7q7m0j78PŒUWIXCYKu&v*-0•gh=i&8*¸=s[-7q7856”&8*œ&v@-@->678@->6,3&v! ,e*)gu[-,3=s[¸937<˜YQ
,35f0(+*-0¥Z“567'gR?=4&8*•Pk78>62
9e7<˜WCan _ 9e7<˜YQml'IXQmK À Q Ikgu[->6 •n KM
]
zf[-,35h0-(-*-,e!6,37<*gu,3939+7vP =47<{>656—0-4@]4*-0)78*B![—@+&8>‘!,e=4{-93&8>W$->&8*=s[)=s[-7<56*¥Z-$-{q!56,e*-=4 ( Ä n Q#Pk7<>
&8*cw)56{=s[œ$->6&8*-=s[¥Z“,e!fPk7893937†gu5R!6[+&v!fPk7<>u&v*xw56{-=s[š=s[7<,3=8Z
0
( nžCf°
N¤* @+&8>A!6,3={-9Í&8>Z ƒˆ8ƒ‚ ,e*c:<4>‘!,e$-93L2B&v!6>6, #¸,e5,3*š![O>&8*-˜8O78PW![-O #@]7<*-*c!,Í&v9
M#zf[,350-(+*-,e!6,37<*7vP
![-?9e7<˜c&8>A,e![2 78P&8*j7<@]4>6&v!7<>f,e5f2L{-=s[•$!6!64>f![+&v*¸7<*=4&8*j
0-7'gu,e![j5A4>6,e45|Y78*-?=47<{-9e0j0-(+*
J¾
937<˜+IXb W EKWn » º I«_”†K t E y
½t
$-{!O!6[-)56>6,35'7<*-9ewD=478*x:84>A˜<45B&8$-5A7<93{!649.w`,e*a*-7<>62 Pk7<>O&š>A45A!6>6,e=!0H=9Í&85A5O78HP E#ZW*+&8249.w E |
]I E³K · M