F onsider the case when qr dx+ dÐ.
!""# $%& '()+* ,% .-/ 01"& "#23"#54 678+/"9: ! ?@& 1"# A B)+"#)9:@C D=E F3GIHKJMLNJ8OQP RSHKO/UKB
:+J?HN/U0 713 a d fYh 2E I._ a Fh 9 /]X >x o &w a fYh i j l .I s ;"s a ~n w uvo h z b j Pz b | j ¢
!&
3254 6
"1
87
87
7
:9
/
a s ¢ h
v71;>+;>=N/]; a fYh EGIM;>+.-=BK?E2-./U020OV{EGKe-7:K?EG-367U5C9`]=B7¡ +DU+.5g+D1/U02H?/1;>EGK?
T;>=?+EGK?-.0GH?ICEG7:K a : h z b E2Iv; VZ@BE2-"/1020GV^K?7U;e/1K+./UI8V);/UI8Ss {K+.QH?EGD1/U0G+.KW;A367:589 7U3;>=B+J?HN/U0@B5C7:R?0G+.9 a fYh HBIC+.I;>=B+j -.7UKQDU+YX`36H?K?-Y;>EG7:KJ?+ NKB+.J)RWV "1
)$
"1
,
$
a ]h _ w m EGKB3 o q a s £ h l =?+e-.7:KWDU+YXZEG; V7U3 36H?K?-Y;>EG7:K a h EGIJ?H?+;>7;>=B+3/1-;,;>=N/];;>=?+IC+Y; d 2E I-7:KWD:+YX)/UKBJ`;C=N/1;
%$
$
+*
/
.
a ¡h CIm H?@ a w ¡h o q a w Fd h{ l l j ,=?+5C+ a Qd h E2IT;>=B+ICH?@?@S7:5; 36HBK?-;CE27:K7U3;>=B+eI8+; d /1I JB+ NK?+J)EGK ?=B+.7:58+.9 £ s £ 7U3 I8=?7k ,j I ;C=N/1; a h E2I-.7UKQDU+YX4s~=B+ +@?E2
:5C/U@?=7U3 36H?K?-Y;>E27UK a h EGI,;C=?+IC+Y;vJB+ NK?+J)RWV
$
a ¡h +.@?E a h _ Za : Zh z l =?+A@B5C7 8+-;>EG7:K 7U3 ;>=?EGI~IC+Y;7:KW;>7 ;>=?+vIC@N/U-+7U3M;C=?+AJ?7:9/UEGK7U3 a h E2I;>=?+A+ +-;CEGD:+{J?7:9/UE2K7U3 a h_ a ¡h J?7:9 a h _ z l v71;>+;>=N/]; )$
0
8- /
-/
)$
(
?F
/
$
b
)$
/
a : h m E2KZ3 o q j l Za : h a ¡h l +.@BE a h l EG;C=e;C=?+JB+ NK?EO;>EG7:K?Ig/UR47kDU+ULUEO; E2II8;C5>/UEG
:=W;C367:5 T/U58Je;C7vI8=?7k y;>=N/]; ;C=?+J?HN/U0Q@?587:R?02+9 a fYh (
%$
)$
"
$ &
+*
%$
D.-
/
0
-/
"1
$
¢
E2I+QH?EGD1/U0G+.KW;;>7;>=?+367:0G027k ,E2KB
7:@B;CE29E2["/];>E27UKP@?587:R?02+9^_ a Zh 9/]X x>o &w a nwyuvo h i j l Ist;.s n~w uvo z$JB7:9 a h a s h z b | j =?+367:020G7¡ ,EGK?
~@B5C7:@S7:ICEO;>EG7:KML" ,=?EG-= EGI +YXB/U-;C0GV ~7:5C7:0G0/U5V& ¢ s FsG7U3 cL158+.0/];>+.IM;C=?+J?7:9/UE2K 7U3 ;>=?+36H?KB-;>EG7:K a h ;C7;>=?+5C+-.+ICICEG7:K)-7:K?+7U3 ;>=?+H?KBJ?+.580GVFE2K?
:587:H?K?JI8+; d s :2
87
7
87
7
M
/
.
d2
!"#%$&')(+*,.-/*10 3
- 0gJB7:9 a h j 4 l =?E2I,@?587:@S7:ICEO;>E27UK!E29@?02EG+.I~EGK!;>=?+-"/1IC+;>=N/];vJB7:9 a h E2I-027:I8+.J;>=N/1; a Fh 9/]X x>o &w a nwyuvo h ji l I.s ;"s n~w u o z Pz b | j j ~7:K?I8E2J?+5K?7k ;C=?+T-./UIC+~ ,=B+.K;>=?+~
:5C7:HBK?JIC+Y; d E2I/{RS7:H?KBJ?+.JI8+;"s K;>=?EGI -"/1IC+UL:367U5 +DU+.5V D:+-;C7:5 z ZL;>=B+ D1/U02HB+ a ¡h w$EGKB3 m o qEGI{/ NK?EG;C+ 58+"/U0KQH?9RS+.5s vIA/-.7:K?I8+.QH?+K?-.+ +T=N/"D:+ a W a ¡hCh z b 367:5 /UKWV l z s =?+/1R47kD:+~E29@?02EG+.I ;>=N/];@?587:R?02+9 a fh E2Ig36+./UICEGR?02+ 367:5,/U0G0MJN/1;>/E2K?I;/UK?-+.I j s
/
I
:2
87
87
7
/
7
$
- /0
%$
!
)$
/
+* "$
%$
$
-/
$
"1
0
&
+;65 f /UK?J87 f J?+K?7U;C+e;C=?+36+"/UI8E2R?0G+A5C+
:E27:KBI7U3 a d fYh /UK?J a fYh LN5C+IC@S+.-;CEGDU+.0GVS_ "1
f _ $q z l 5
/UK?J
7
f _ Za h z l
7
8- /
2
-/
0
-/
9;:=@ACBEDF*G#HJI+K@#+LNM0PO.Q)LRI-S1*10UTV*&*1'
uvqPwyx{z bT| q)z d
a s h
9
4a n~wyu o h z b z b | a s h j j a d fYh #+'I a f&h 2 0QW#+0XMY- 2 a Fh a Zh j ikj 4 i [¢ Z
7
7
1
:/
+;H?I-.7:K?I8E2J?+5q/UK?J a h 36+"/UI8E2R?0G+T367:5 a edgfYh /UK?J a fh 58+.I8@4+-;>EOD:+0GV:s=B+.K 8nTw u o o q n o qw o u q n o qPwx o l ,=?+5C+&;C=?+0/1I8;AEGK?+.QHN/102EG; V!367U02027k ,I,365C7:9 ;C=?+ 3/U-Y;{;C=N/1; Qo a uvqwx h BsA=?+5C+367U5C+ a Zh ikj a Zh s ij
7
&
7
,
"1
7
&
7
7
A ( "
% % $# $ "Y
?@ 58E29/U0O\J?HN/U0@N/UEG5T7U3 @?587:R?02+9I~I>/1;CE2I ?+.I,I8;C5C7:K?
J?H?/U02EO; VPEO3 ;>=?+7:@B;CE29/U0S7:R 8+.-Y;>EOD:+A36H?K?-Y;>EG7:K D1/U02HB+.Ie7U3RS7U;>= @B5C7:R?0G+.9I-.7:EGK?-.EGJ?+Us K @N/158;>EG-.H?02/U5367:5;>=?+ 367:5C9/1;.Lg@?587:R?0G+.9I a d fYh /UK?J a fh IC/1;>EGI83rVI;>587:K?
)JBHN/U02EO; V$EO3 a Zh a Fh s=?+-.7:KBJ?EG;CE27:K?IHBK?J?+.5 ,=?EG-= /@N/UE25 7U3@?58E29/U0O\J?HN/U0 @?587:R?0G+.9I{I>/];>E2I N+.II;>587:ikK?j
!J?HNl /102EGi ; j VD1/U5V:L 367:5{E2K?I;/UK?-+ULMEGK);>=B+-"/UI8+7U302E2KB+"/U5 @?587:
:5>/199E2K?
!EO3~RS7U;C=;>=B+@?58E29/U0/UKBJ;>=B+J?H?/U0@?5C7:RB02+.9Ie/U5C+36+"/1ICE2RB02+UL ;C=?+.K;>=?+YVIC/1;>EGI83rV I8;C5C7:KB
{J?HN/102EG; VUs K&-.7UKQDU+YX&7:@B;CE29E2["/];>E27UKA=?7k ~+YD:+5.L:;>=B++pXBEGI8;C+.K?-+~7U3BI8;>587:K?
vJ?HN/U0GEG; VRS+; +.+K/ @N/UEG57U34@?5CEG9P/10O\ JBHN/U0F@?5C7:RB02+.9IH?I8HN/U020OV&JB+.@S+.K?J?I7:K/UJ?J?EO;>EG7:KN/U0F=WVZ@S7U;C=?+.I8+.I.LF;>=?+IC+v/U5C+,QK?7k ,K /UI-.7:K?I;>5C/UE2KW;TQHN/102E ?-"/1;CE27:K?Is -.02/UICI8E2-{-7:K?I;>5>/1E2KW;~QHN/102E ?-"/1;CE27:KE2I;>=?+{+YXZE2I;>+.KB-.+A7U3 / 0/];>+.5 @S7:E2KW;,E2K!;C=?+36+"/UI8E2R?0G+A5C+
:E27:K L?IC++e367:5+pXB/U9@B02+=?+7:5C+9 Bs ¢ 713 7U5 ~=N/U@B;C+.5 £ 713 cs ~+.0G7k +@?58+.I8+.KW;5C+ICH?0O;>I{;C=N/1;I8=?7k ;C=N/1;v;>=?++pXZE2I8;C+.K?-+7U3/ 02/1;>+5v@S7:E2KW;{E2I{I8H -.EG+.KW; 367:5I8;C5C7:K?
J?HN/U0GEG; VEGK;C=?+ -./UIC+1s=?+.I8+A@?5C7F7U36IH?IC+{/ I8+.@N/U5C/1;>EGK?
&=WVF@S+.5C@B0/UK?+{/U5C
UH?9+KW; ;>7J?EG5C+.-Y;>0OV!E29@?0GV;>=?/1;v;C=?+7:@B;CE29/U0M7:R 8+-;CEGD:+36H?K?-Y;>EG7:K`D1/U0GH?+.I,-7:E2K?-E2J?+1s~=?EGI /U5C
:HB9+KQ; EGI RN/UI8+.J^7:K!;>=?+-.7UKQDU+YXZEG; V`7U3g@?587:R?02+9I a edgfh /UK?J a fYh s E258I8;02+Y;PH?I9P/1U+;>=?+^K?7U;>EG7:K713/ 02/1;>+5@47:EGKW;P@?58+.-E2IC+`367:5;>=?+ 367:5C9/1;.s=?+ 5C+0/1;CEGDU+E2KW;>+5CE27U5T7U3 /I8+; EGIK?7U;>+J^RWV58+.02EGKW; Ts £
$
;F
!'"
"1
$
$
$
<
'"
;F
"1
!'"
>
a edgfYh
: ! / P B)M')0q MY- #LR#+0 *1" )M')0
" " +S LY*
M
q)z5C+.0GE2KW; d /1K?J$uvqwx{z$58+.0GE2KW; bT| a h
MYH[*1T MY-/* 2 #)M')0
7
a f.h
MY- #LR#+0 *1" )M')0
" " +S LY*
"1
/
M
z$58+.02EGKW; b | U/ KBJ a n~wyu o h z$5C+02E2KW; b j j 7
7
/
aFh #+'I" +S LY* ::=< ,q MY-3#LR#+0 *1")M')0
"" +S LY* aedgfh&2 0Q)*1' aFh j ikj l i a"1fYh #+0P0#+M'W-M0-30PM 3K 4 N7:5ICEG9@B02E2-EG; VULM02+Y; /UK?J JB+.K?7U;C+;C=?+@?5CEG9P/U0/UK?JJ?HN/U07:@B;CE29/U0 7UR;F8+.-Y;>EGDU+ D1/U02HB+.I5C+IC@S+.-Y;>EGDU+.0OV:sV~7:K?ICEGJ?+.5;C=?ikj+IC+; i j
_ "a ! $#Z% h & qI t; ?q ! z d u qPwx # z bT| n o qw % l ikj ,=?EG-= E2I$/K?7:K?+9@B; V-7:KWD:+YX IC+;.s + -"/UK@?5C7:@S+.580GVIC+@N/U5C/1;>+ a h 36587:9 TL I8E2K?-+ a h z s=B+.5C+Y367:5C+1LN;>=?+5C+e+YXZE2I;>I a' $( h BL? ,=?E2-=`I>/];>E2I N+.I ' o ! Qo # ()% 367U5 l /U0G0 a"!M*#Z* %h z Ts N7:5/UKWVPq)z ,L ! + z d -L # + z bT| LB/UK?J. J?+ NKB+ ! w q /! + L # wvu q x /# + LN/1K?J l l % norqPw 0.Fs=?+K 1a ! * #F %h z s l N5C7:9 ;>=?ikj+@?587:@4+5,IC+.@?/U5>/1;CE27:K L #
"
/ / ,
H
7
H
'
$
7
D
!
8- /
0
$
'
o a w,q 2!S+ h &
~+.-./UH?I8+.
7
o a w uvq x 3#:+ h ( a n o qPw ,
4.
h
ki j EGIvKB7U; R47:HBK?J?+.J LS;C=?+ 9&H?0G;CE2@?0GE2+.5 £
367U5,/U020Sq ! + z d, # + z bT| .
D
(
Bs~3
(
BL5C+p\ IC-./U02+ a' $( h ICH?-=
7
/
;>=?/1; (
:L/UK?J;>=B+.K l
o a w q 2!S+ h '
,
7
o a wvu q x 3#U+ h n o qw &
ikj
*,+"/U585>/UK?
UE2K?
?L a w u o n~w ' h o q 7
o
o
o x~w
' ! + 7 #+ 7
&
4.
0.
367:5,/U0G0 q ! + z d # + z bT| .
D
367U5,/U020Sq ! + z d, # + z bT| .
D
/
/
ki j =?E2Iv0/UI;{+pXZ@?5C+ICICEG7:KE29@?0GE2+.IT;C=N/1;{nTwu o ' /UK?J ^z b | s +; # + BL o xTw L /UK?J;>/UU+T;C=?+02EG9EO; /UI . BL:;C=?+.K;>=B+T0/UI;+YXZ@?58l +.I8ICE27UKEG9@B02E2+I a jnNwu o l h z b sgl =?+.58+367:ik58j + a h E2Iv36+./UICEGR?02+367:5 a fYh /UK?J x>o w x>o w Qo6x L4 ,j=?EG-=E29@?02EG+.I ;>=?/1; /UKBJ`;C=?+J?HN/U0 36+./UICEGR?i02+j @S7:EGKQ; a h l /1;C;>/UE2K?I;>=?+J?HNikjv/10 l 7:@Bik;>j EG9H?i 9`j s i3 ( j l ikBj LB@?5C7:@S+.5,I8+.@N/U5C/1;>EG7:K
:EGDU+.I;>=B+367U02027k ,EGK?
?_ l ' oaw q !S+ h o a w uvq x 3#U+ h 367:5,/U0G0 q ! + z d # + z bT| 7
7
7
7
"1
87
87
7
7
7
,
7
&
/
D
*,+"/U585>/UK?
UE2K?
?L a w u o &w ' h o q 7
&
o
o
' ! + 7 #+ 7
ox
D
367:5,/U0G0 q ! + z d # + z bT| /
=?EGI EG9@B02E2+IS;C=N/1;w uvo ' /UK?J z b | s =?+0/UI; +YXZ@?58+.I8ICE27UK&RS+.-.7U9+Iw Qoru ! + Fo# + Fo6x BL 367:5/UKWV ! + z d # + z bTl | s5C7:@S+.5IC+@Nj /U5C/1;>EG7:K/U02I87`
UHN/U5>/1KQ;C+.+I;C=N/1;;>=B+.5C++pXBEGI8;CI a! #F %g h /UK?J q ICH?-=;>=N/1; q ! z d Lu q` w x # z bT| Lnpo q` w % L /UKBJ ' o ! Qo # (% Bs v7k ( RQVI8H?@?@S7:ICEO;>E27UKML/UK?J ~+)K?7U;>+J;C=N/1; ' w uvo ikSj LT/UK?J z b | s =?+.58+367:58+ j l w o u ! l o # Bs +;Aq RS+&;C=?+ 02/1;>+5{@S7:E2KW;.s N7:5A/1020 I8H -.E2+KW;>0GV^IC9/U0G0 LNq N a q ! wq h z d /1K?J 87
7
7
7
7
87
7
&
7 ,
7
£
:
7
uvqFwx a u q wx
#
w a u qZwx h8h z bT| s=B+.5C+Y367:5C+
w o u a q a q ! w q h8h o a u q wx Na u qP wyx # w a u q wx h8hCh w o u q w o u ! o u q o u qP w o x o # w o u q o x l w o u ! o #
7
7
7
7
7
7
7
7
7
7
7
7
ox 7
l ,=?EG-= E2I/ -7:KW;>5>/1J?E2-Y;>E27UKMLWICEGK?-.+ .- /UKPRS+{K?+
W/1;CEGD:+v/UK?J)w o u /UK?J;>=B+e@B5C7F7U3 E2I-.7U9@?0G+;C+Us
o Bs=?+.58+367:58+
! 7 #,
7
(
l
BL H
aFh #+'I : :=< / a 7 h MY- #4LR#+0 *1" )M')0
" "&+S LY* a 1fh&2 0Q)*1' aFh ikj l i j " +S LY* aedgfYh +# 0U0 #+M'W-M0-30UM 3K 4 N7:5ICEG9@B02E2-EG; VULM02+Y; /UK?J JB+.K?7U;C+;C=?+@?5CEG9P/U0/UK?JJ?HN/U07:@B;CE29/U0 7UR;F8+.-Y;>EGDU+ D1/U02HB+.I5C+IC@S+.-Y;>EGDU+.0OV:sV~7:K?ICEGJ?+.5;C=?ikj+K?7:K?+i9j @B; V -.7:KWD:+pX^IC+;
_ a : *#F%h & `I ; a n~w u o h a : Zh z b # z b | x o &w % j j l ij + -./UK@?5C7:@S+.580GVI8+.@N/15>/1;C+ a h 36587:9 TLQICEGK?-.+ a h z Ts=?+5C+Y367:5C+1LF;C=?+.58+ +pXZE2I8;CI a q 'g h BL? ,=?E2-=`I>/];>E2I N+.Iq o ' o# % 367U5,/U020 a : *#Z*%h z s N7:5A/UKWV l $z {L z L a U+ Z+ h z b L # + z b | L /UK?J . BL JB+ NK?+ wvn u o + L w + L # w 3# + L/UKBJ % wyx>j o 4j .Fs=?+.K a : *#F%h z l s l N5C7:9 ;>=?+@?l587:@4+5,IC+.@?/U5>/1;CE27:K L li j # )$
7
/ +/
7
H
4- /2
$
$
-/
7
%$
87
/
$
$
)$
'
H !
D
7
7
$
7
)$
7"
$
q o a wvn u o ¡+ h ~a w
$
7
Zh +
'
oaw
Uh
a w x o 0. h ij !/UK?JK?7U;{R47UH?K?J?+JML ;>=B+.K Bs3
7 3# +
367:5{/U020 ka 1+ F+ h z b # + z b | . Bs +.-"/1H?IC+ . ZLN5C+Y\IC-./U02+ a q $' j h ICH?-=`j ;>=N/1; : LN/UK?J l q o a wvn u o ¡+ h a w B+ h ' o a w #U+ h wyx o j i £
7
$
7
$
7
D
,
7
7
4.
D
/
*,+"/U585>/UK?
UE2K?
?L a uvq wxw ' h o
0. ji 367:5!/1KQV /UK?J/UKWV a W+ F+ h z b # + z b | . Bs =BE2I 02/UI8;!+pXZ@?5C+ICICEG7:K E29@?02EG+.I;>=N/]; uvq)w x ' z bT| L :L/UKBJ a j q h z b j L ,=?E2-=y9+"/1K?I ;C=N/1;qz d s$=?+5C+Y367:5C+PqEGI 36+"/1ICE2RB02+ l367U5 a edgfYh s +Y; l a :+ F+ h a h L# + BLM/UKBJ);/U1+;>=?+&02E29EG ; . ZL4;>=B+.K$;>=B+/URS7¡DU+ +YXZ@?58+.I8ICE27UKEG9@B02E2+I n o q l LU ,=?l EG-=E29@?02EG+.I;>=N/1; /UK?J;>=B+T@?5CEG9P/10Q36+./UICEGR?02+ i j likj @S7:E2KW;q/];C;/1E2K?I~;C=?+i 7:j @B;CE29H?9`s ikj i j 3 BL?@?587:@4+5,IC+.@?/U5>/1;CE27:K
:EOD:+I,;C=?+367:020G7k ,E2K?
?_ l q o a w{n u o ¡+ h a w F+ h ' o a w 3#U+ h 367:5,/U0G0 ¡a 1+ F+ h z b # + z b | j j *,+"/U585>/UK?
UE2K?
?L 7
a q gh o a :+ F+ h a w gh
$
$
7
o wn o q
' #+
,D
$
8
7
a uvqPw ' h o
$
,
a q gh o a :+ F+ h w
7
7
D
$
/
367:5,/U0G0 ka 1+ F+ h z b # + z b | j j =?EGIE29@?02EG+.I ;C=N/1; /1K?Juvq ' z bT| s =B+^/1R47kD:+EGK?+.QHN/U0GEG; V /U02I87E29@?02EG+.I;>=N/]; a q h z b L? ,=?EG-=)9+"/Ul KBI,;C=N/1;qz l L/1K?J`q a 367:57U;C=?+.5 ,E2IC+ a q 'g h BL/-7:KW;>5>/¡\ J?EG-;>EG7:K h s =B+@?5C7U@4+5{IC+@N/U5C/1;>EG7:K$I8;>/1;>+Iv;C=N/1;{l ;C=?+.58++YXZEGI8;>I a U #Q % h /UK?J a l h IC/1;>EGI83rVFE2KB
a nwyuvo : Z h z b L # z b | Lx>o w % L/UK?JqNo yqNo6uvo # Bs j j j i ~7:K?I8E2J?+5A;>=?+ 0/1;C+.5{@S7:EGKQ; a h s=?+K a nwu o h zy5C+02EGKQ; b /UK?J z 5C+.0GE2KW; b | s j =?+K^367:5,/U0G0 ICH -E2+KQ;C0GV!I89P/1020 LQ + =N/"DU+ ,a # w h z b | /Uj K?J j CnTw u o Cnwyu o wn u o a w h z b j =?+5C+367U5C+ $
7
o wn o q
' #+
7
H
C/
$
$
7
7
7
7
7
q o >n~w u o
7
7
Cn~wyu o
7
$
$
wn u o
7
£1¢
7
7
q o u o a
7
7
7
$
7
/
7
$
7
a 7
#
/
w 8h h yw n o q 7
D
/
EG9@?0GEG3rVFE2KB
/UK?J`-"/1K?-.+02E2KB
?LZ + 7URB;/UEGK
.w q o u o yq o q o u o yq o u o q o u o # w q o u o 8q o yq o u o #
$
7
$
7
7
7
/
l v7k +DU+.5.L RWV^-=?7F7:ICEGK?
~+=?/kDU+/P-7:KW;>5>/1J?E2-Y;>E27UKML4I8E2K?-+ qNo qNo6u o # Bsv=?+.58+367:58+ ZL/UK?J!;>=?+@?587Z713 EGI-.7:9@?02+Y;>+1s l "%g & S( % A %% . '
B
H
$
+
K;>=?EGII8+.-Y;>E27UK +vEGKW;>5C7FJ?H?-+T;>=?+ J?+ NK?EG;CE27:KBI7U3 ;C=?+,J?E2I;/UK?-+;>7eE2020 \ @S7:IC+J?K?+ICI/UKBJ-7:K?J?EO;>E27UK KQH?9RS+.5e367:5e/^-.7UKQDU+YX 7:@B;>EG9EG["/1;CE27:K)@?5C7:RB02+.9 EGK;C=?+ 367:5C9/1;"sP=?+.I8+ J?+ ?K?EG;CE27:K?I /U58+ ;>=B+vKN/];>H?5C/U0N+YXF;>+K?ICEG7:KP7134;C=?+vJB+ NK?EO;>EG7:K?IE2KW;C5C7FJ?H?-.+JPRWV*,+.K?+
W/U5367:5-.7:KBE2-@?587:R?02+9IEGK /UK?J Z cs =?+D:+.-Y;>7:5,I8@N/U-.+e7U3 /U020 JN/1;/EGK?I8;>/UK?-.+I a u x n h 367:5T;>=?+ 367:5C9/1;EGI l %$
'"
$
$
'"
2 0
-/
2
-/
0
-/
/
l K?7U5C9 7:K -"/UK^R4+ -.7:K?I;>58H?-;C+.J/UI 367:020G7¡ ,Is6~7:K?I8E2J?+5{
:EOD:+K$K?7:589I q /UK?J {7:K /UK?J LW0G+; pu JB+.K?7U;C+;>=?+H?I8HN/U0?7U@4+5>/1;C7:5K?7:589^L:/UK?J02+Y; J?+.K?71;>+T;>=B+J?HN/U0?KB7:5C9 /UI8IC7F-.E/];>+.J ,EG;C=`;C=?+eK?7:5C9 v7:K 7:5 s +eJ?+ NKB+e;C=?+ KB7:5C9j 713/UKWVJN/1;>/EGK?I8;>/UK?-+ a u x n h z RWV A_ 9/]X pu Yx Yn Qs +Y; a N h J?+K?7U;>+;>=B+ RN/1020M ,EG;C= -.+lKW;>+.5 /1K?J^5C/UJ?EGH?I ZLZ367:5Tl ;>=?+K?7U5C9J?+ NK?+J)7:K j s +~K?7k @N/1H?IC+~;C7A5C+9P/15C;>=N/1;g;>=?+5C+/15C+~367:HB5 J?E +5C+.KW;KB7:5C9+.JDU+.-;C7:5I8@N/U-.+I@?5C+IC+KQ;EGK ;>=B+ 365C/U9+ 7:5Cs=?+5C+/15C+;>=?+e; ~7K?7:589+J^D:+-;C7:5{I8@N/U-.+I{@?58+.I8+.KW;E2K;>=B+ J?+ NK?EO;>E27UK 7U3S;>=?+,@?58E29/U0B@B5C7:R?0G+.9`_ ;C=?+D1/U5CE2/UR?02+~IC@N/U-+ a h /UK?J;>=B+ -7:K?I;>5>/1E2KW;IC@N/U-+ a h s =?+5C+/U5C+/U02I87;>=?+; 7{K?7:589+JeDU+.-Y;>7:5 IC@N/1-.+.Ig@?5C+IC+KQ; E2K;>=?+J?+ NK?EO;>E27UKe713B;>=B+J?H?/U0W@?5C7UR?02+9^_ £:£
-/
-/
0
2
7
- /0
- /2
)
$
&
%$
'"
%$
- /0
- /2
%$
;>=B+e0GE2K?+./U5T36H?K?-Y;>EG7:KN/U0GI7¡DU+.5,;>=?+-7:K?I8;C5>/UEGKW;vI8@N/U-+ a h /1K?J^7kDU+.5,;>=?+D1/U5CE2/UR?02+{IC@N/U-+ a h s=?+3/U-Y;;>=N/1;,+02+9+KQ;CI,7U3 +"/U-=^J?HN/U0MI8@N/U-+ -./UKj R4+e/UI8IC7F-.E/];>+.J!;C7+02+9+KQ;CI7U3 ;>=B+-.7:585C+.I8j @47UK?J?E2KB
!7:5CEG
:E2KN/10 IC@N/U-+E2I{JBH?+;>7!=?+7:5C+9 £ s £ 7U3 cs K$;C=?+5C+9P/UEGK?J?+5{7U3;>=B+ ;>=B+.ICEGI.L +0G+;{q z /UK?J z J?+K?7U;>+ ;>=?+@B5CE29/U0@S7:E2KW;>I{/UK?J z /UK?J )z J?+K?7U;>+;C=?+J?HN/10@47UE2KW;>Ise=BE2I-.7UKQDU+.KW;>EG7:K ,E20G0g58+.9E2K?JH?IA;C7!9P/1U+/ J?EGI8;CE2K?-Y;>E27UK$R4+Y; ~++.K @?58E29/U0M/UKBJ^J?H?/U0M@S7:E2KW;>I,EGK 7:5 E2K!7:58J?+.5;C7HBIC+;>=?+e/U@?@B5C7:@?58E/1;C+K?7:589^s A+ NKB+;C=?+IC+Y;>I 7U3g@?5CEG9P/10436+"/1ICE2RB02+JN/1;>/E2K?I;/UK?-+.I_
-/
-/
2
0
0
4- /
A- /
$
2
4- /
-/
0
4- /
0
7
2
4- /
2
$
_
z
?
l /UK?J713 J?H?/U0M36+"/UI8E2R?0G+AJN/1;>/EGK?I8;>/UK?-+.I._ _
z
?
f 5
f
7
l
J H
H
J
/
l l JN/1;>/EGK?I8;>/UK?-.+ ;>=N/1;{E2IvR47U;C=)@?58E29/U0 /UK?J$JBHN/U0g36+./UICEGR?02+eE2I{/P-.7UK?ICEGI8;>+KW;JN/1;>/PE2K?I;/UKB-.+Us =?+eIC+Y;7U3 -7:K?I8E2I8;C+.KW;vJN/1;/EGK?I8;>/UK?-.+I,E2IT;>=B+.5C+Y367:5C+
_
z
f
5
,H
J
7 f
,H
J
/
l l l l K
:+K?+.5C/U0W;>+.589IL:/ @?5C7:RB02+.9 ,EO;>= JN/1;/ E2K?I;/UKB-.+ E2I ~+020O\@47UIC+.J EG3BEG;>I-7:K?ICEGI8;C+.K?-YV&I;/1;CH?I E2IHBK?-=N/UK?
U+.J RWVI89P/1020 @S+.5;>H?58RN/1;CE27:K?I713;C=?+JN/1;/Zs K71;>=?+5A ~7:58J?I.L z EGI{ +.020 \ @S7:IC+J a . h ^s E21+ ,E2I8+UL z E2I, +.020 \ @S7:IC+J$EG3 L367:5 IC7:9+ . BL EG3 L367:5 IC7:9+ . BL a . h z gs=?+! +.0G0O\ @S7:I8+.JE2K?I;/UKB-.+.I/U58+!;>=?+!JN/];/E2K?I;/UK?-+.I ,=?EG-=02/kV E2Ky;>=B+ E2KW;C+.5CEG7:5T7U3g+.EO;>=?+5 7:5 s =?+.58+367:58+UL ;C=?+I8+; 7U3EG020O\@47UIC+.J`E2KBI8;/1K?-.+IAE2I 9P/1J?+&H?@)7U3+YXB/U-Y;>0GV`;>=B7:IC+EGK?I8;>/UK?-+.Iv367U5 ,=?EG-= /UK/U5CRBEG;>5C/U5CEG0GV^IC9/U020 @4+58;>HB5CRN/1;CE27:K7U3;>=?+JN/1;>/ ,EG020-=?/UK?
:+EG;CIe-7:K?I8E2I8;C+.K?-YVI8;/];>H?Is
3
&
£ M
020 \ @S7:IC+J!E2K?I;/UKB-.+.I 02EG+A7:K!;>=B+eRS7:H?KBJN/U58V 7U3 /UK?J _
_
l
-0
-.0
/
l l =?+TJ?EGI8;>/UK?-.+7U3/1KQVeEGK?I8;>/UK?-.+ ;>7 ;>=?+IC+Y; LUK?7U;C+.J a Fh LUEGI ;C=?+J?E2I;/UK?-+;C7{E20G0O\@47:I8+.J?KB+.ICI 7U3 ;>=?+EGK?I8;>/UK?-.+1s 7U5 z ^LB;>=B+eJBE2I8;>/UK?-+;C7E2020 \ @S7:IC+J?K?+ICIE2I
a Fh _ 2E KZ3 5 f Mf 7:567 f Mf l l l ;>=B+~ICEG[.+7U3?;C=?+~I89P/U0G02+I8; JN/1;>/v@S+.58;CH?5CR?/1;>EG7:K ;>=?/1;g 7:H?0GJ&9/UU+@?5C7UR?02+9 a edgf MfYh /UK?J 17U5 @?587:R?02+9 a f Mfh E2KB36+./UICEGR?02+1s N7:5 z L?;C=?+J?E2I;/UKB-.+A;>7E20G0O\@47:I8+.J?KB+.ICI~E2I
J
J
1
L
a Fh _ 2E KZ3 5 f Mf /UKBJF7 f Mf l l l ;>=B+ICE2[+7U3;>=?+I89P/10202+I8; JN/1;/A@S+.5;>H?58RN/1;CE27:K ;C=N/1; 7:H?0GJ9P/U1+TRS7U;>=@?587:R?02+9I a edgf MfYh L /UK?J a f MfYh 36+"/UI8E2R?0G+Us =?+P+pXZE2I8;C+.K?-+713~;>=B+I8+; 7U3TEG020O\@47UIC+.J)E2K?I;/UK?-+.I J?+.@S+.KBJ?I&7:K;>=B+
:587:H?K?JIC+Y; d /1K?J ;>=B+ -7:K?+ bT| s=B+&@N/1;C=?7:0G7:
:E2-./U0M-./UIC+eE2I, ,=?+.K)R47U;C= bT| /1K?J^;C=?+&I8+; d EGI,R47:HBK?J?+.J s =?+ 3/U-;;>=?/1; bT| E29@?02EG+.I ;C=N/1; 5 f 367:5/U020 LF/Ul K?J;>=?+ R47UH?K?J?+J?K?+.I8I~7U3 d E29@?02EG+.I ;>=?/1X; 7 f 367U5/U020 l s=B+.5C+Y367:5C+1LZEGK;C=?E2I@?/1l ;>=?7U027:
:EG-"/U0Z-"/UI8+UL /UK?J;>=?+,IC+Y;~713 EG020O\@47UIC+.J E2KBI8;/1K?-.+l IJ?7Z+IK?7U;{+YXZE2I;"s +& ,EG020 K?7U;-7:K?I8E2J?+5A;>=?EGI{-"/1IC+E2K$;Cl =?+58+.9/UE2K?JB+.5A7U3;C=?E2Iv ~7:58L /UK?J`IC7 + 9/U1+;C=?+367:020G7k ,E2K?
/1ICICHB9@B;CE27:K _
H
J
J
,H
"1
-/
-/
,H
J
J
H
2
2
6
Tb | " 0Q)*+" K='I -/*10 d MY=?+e-.7:K?JBEG;>EG7:K!KQH?9RS+.5,7U3gl E2K?I;/UKB-.+ GE IJ?+ NKB+.J$/1I ba Fh _ a Fh a Fh a Fh l l £
!