!"$#&%')(*!'!"+,"-!-( ./!01 2 '(*"34!"56
789;:=<>9@?BAC:=DFEG8IH-J>K:=DLK><BJ><BMNOK>DF:1AG9;PRQ9SAKTM1U;J9@VWAG:=DXJ>KBM
YLZ\[]&^T]G_)[C`a=bOcdd1e6_gf[&fhci>Z
j
]k_
l5_;`[Z&^]GZ&^nmCe2dob'iphfqi_)^B_r[smGe2d
mGe6_utv[&fhw&eGxy[&f=cd1zkw{a=|-[&f{]k_g}~cdd1ekZd1zGw\[&rfh`czGw&ekZC[p6]k`f&[&f
mGe6_u Zkc\ek_gd{cf[&f
j
]R iT`Z
\i_)^Ge6`e^6f \iZ
4L0L055
[]d|+ek]CZGpsc_)zkw&ekZ
k
(*)+ ,-./01
(*)+ 2"3,45
6&78 9*10*0:
; );
1'8<=?>@>ABC?1D)+E GFH2(> ;
I'J0.>J:
;
10751J:
; ) ;
1'K L"HMN>AO3PRQRQ*S
1 = 7 <@
;
O =4(R5 =?1A)* =5 G1+*1'4?1 =1 ; ; ;
1 B =/19)7> =?1
50
;
04 =41('79 R10- =J9 =/5 ( =9 )
;
8G?1C0G> 18?1R5
;
R19
; > 19
)*(?> 'G1C 9AI J > @G1C0(90 *( 0190 ?1 5 =94R10- = 55 )
;
O =
09?>!C ?1NI
;
1*
;
O0* D +1 O ) ; 55 07> C0 B R.I '7(
;
10 B @
(R0
;
9 B ).81'759 R10 = #" ?1@99 =
; > $
; 0GB 1 8 I 4(5 041*('!
;
1
; >
5504A =5?14O
;
9 51 G1RI 9?1 =1
; ;
1 *@ =/1)> ?1J50H R1
%39 = =5?1C?19+1''&&>@5 ?1R1 R10J%39 =(7#"> 1 55 (5C1 DGO+* O59
I #%99 = )/ ( ?O9 R10 14-'GC703+9 *" 19C?1 1 =
;
O =?1+ /> C
FD55?5 ; 5 =G1 * )7 > 0-?1,1 5
;
J1 (5G-10'50 #"*9 9
; 5 41 =
=> R01 >@ 5>@ D0
; =J51<+0J5
;
B =(>
I (9
; 5 * #"*9 1 = '7*1 70-1 70 >. ( = (/ (9B1 =?1 ) = (C
; 5
#" =/?5 =?1 1 ; 9 *(
;
B0K.F 09 50 09B9 ?1 )&#" =/G5 ?1 R?5 5<= R10R*0 "010
10 0G5'K"010A#" =/?5 =?12(9 >AC03
;
O ?14 = 10 =
;
B *) 1 1 54 */> 9
'G1
I 0G> C0H10 )
;
( 0 #1C 1H1 59+0B 83F E9*(H)
;
B =/ =?12(D09 50 1C9 ='R =?1
)N = #C (R55 *'G9 C5 DC1 1 =J5>A ) 1C1' 07> 9 ?12(R = G1C07> 18?1 5
&NB1O('A> R056(*5> B N = 5899 =/5# *'G9 &8
;
0 1 =H 7 =5?1 +C &#G(O9809
1?19$(R =5?19 > # O
;
B0 5> *1 * #" * =G1)K = G1C07> 18?1 5&NB1O('J> 05
I @+ )& =(?1' )
;
B =/ =?1J 1 C9 B9 50K
FD1 *" 18 (C *)?18N10 7 =5?1H#9 =/5C0*1C 9 5*('HR10 1 > 07 5
;
H)E =
0G> =?1H)7G * ;
&R5
;
9) = )
;
B =/ =?1@8 (9B1 0?NI 10G1' *( ?>. (09 =9?50
=(9 =5(C
; 5 9:1 007 =?12( =+;> 1 (CG1+@10J = 1C)(*(0JO9+< =?1 *( 1C9 'R 0K
#?9?10( = 1 =)(G> 'G19 = = +5'>&NB1O(' 5 0095
; 00G =G1 5") ; 1 1 ( C ?1
199B =' 90K I =/1)> =?1 B A)(?> = 5>@ ) B?5 0 ;
1' 07> * I #" =?1
*( ;
1' =5?19NI (*5 1('79 )?1C =5?1 9?(G = = =5?1 O
;
10A B 9 10 =
> ; 5 = =5?1@G1 =1 ;
A ( 'G1 )E ; ;
51'9A@. =5?OBRO59H ( 0GB
;
+0-1A09 R5
I A#" 19 H). = ;
1' C1'G59 9+J R5 ; 5 0-1@ =B ?5, *(R> 9 3 9R9 85 1@ =
= #"> 19 R5C(59 =?13)? 7 +5' 5 009B > *(D5*8
;
0A1 = ;
1' C1'G5C 1 +
1 =@*"*> 1 55A(5C1 H('G> (K> )N = #C (R55 *'G9 H9
;
(0 O* =@G1C10 =
7 =5?1 B9 C("O
;
D5+4 =(8D10 )
; =5?1 ?1 =O ;
=G1 O9?> C9O5R
I @
; (1
;
10 R10G1'J)& = 9 =(B C'71
;
(9 ) > 'G19 = #" * =G1 1A
;
*( 50*
0 >
;
0 = 15B = 1
;
=(G1-B 1'(8;> 1-99 =(+9* 10 19)/*0 RO9+< =G1
(9+*1 0K I 9
; 5 ?O9 B10 ( G>!*(0D =J#"> 19 R5/10G1'9 I !B #"> 19 R5
C01 ) A =5?1C =5?1 O
;
10 B 41 J500* > )
;
10?
!"# $
PK&% & 'GC >!/
;
( ; (?10
;
9 7 @ @ @ @ '
P?&%R&% %.100 ;
*( 9 @ @ @ @ @ %P
P?&%R$P 0 ,A 1
; 5 7 @ @ @ @ %(
P?&%R"( 1?> R'*1 = @ @ @ @ @ %)
PK$P *3?19 =1 ; ; ;
1 * (R19)7> =?19 @ @ @ @ %+
,.-/0 1 2!34-6587:9
(K&% 1 =(0
;
C ?1 @ @ @ @ @ @ P%
(?&%R&% #G * =1''?19 @ @ @ @ @ PRP
(?&%R$P #?9
; @ @ @ @ @ @ P(
(K$P I B =
;
C
;
(@)&%3C */ @ @ @ @ PS
(?$PK&% I %39 =+&NR>@5 ?11 @ @ @ @ PS
(?$PK$P ; %39 = ?OBRO59 @ @ @ @ @<(RQ
(K"( I./1)> =G1 )& =&&>@5 ?11 @ @ @ @<((
(KS I./1)> =G1 ).GO+* O59 @ @ @ @<(L
(KL ;2%39 = 5 =9 @ @ @ @ @ @<(+
(K") *.? *)& =@5
; @ @ @ @ @<('
(?")K&% &&>A5 G11 @ @ @ @ @ S7Q
(?")K$P @@O+* O59 @ @ @ @ @ SL
(K"= I./185 ?1 51C *R1 @ @ @ @ @ S =
(?"=K&% &&>A5 G11 @ @ @ @ @ S +
(?"=K$P @@O+* O5 @ @ @ @ @ LP
(K"+ *.9
;
>A> * @ @ @ @ @ LS
> ?A@ -4CB# -C0!!-DE2:-DFG-2!34-6 @ -22/ HJI
SE&% !N1*/5*?180*/ ?1 @ @ @ @ @ LC)
S"&%R&% @@1C * =5 9 =/5019C 7 @ @ @ @ LC=
S"&%R$P I =5 #C (R5018 7 @ @ @ @ LC=
S"&%R"( K * =*5 9 =/5019C = @ @ @ @ LC+
S"&%RS L7>@ =?1 @ @ @ @ @ LC+
SE$P I3>@1 )7?1C07> *1C?1 5 '/0 *> @ @ @ LC'
SE"( *.9 >A> * @ @ @ @ @<)%
@ >
L"% K 010C#" (?5 =?1 @ @ @ @ @ )S
L"P 5R'?"010C*" =/?5 =G1 @ @ @ @ @ )L
L"PK&% &+90 075R'?"010 *" =/?5 =G1 @ @ @ ))
L"( @.9 >AB0
;
O =?1 @ @ @ @ )=
L"S 1 15)*/> 9 @ @ @ @ @ )'
L"L *. 9 *3
;
>@> @ @ @ @ @ =RP
I ! -2! -4 C E12 -4 @ ! 1 C! J
)K% ,AR05 @ @ @ @ @ @ =S
)K%R&% +@0G'G(R> 10J#" ?1 @ @ @ =S
)K%R$P # C (R5) ( =9 @ @ @ @ +RP
)KP ,A9 =R0 @ @ @ @ @ @ +S
)KPK&% ?
; O = *%I @ @ @ @ ++
)KPK$P @@O9+ O5C @ @ @ @ @ ++
)KPK"( ;" =/?5 =?1 @ @ @ @ @ '(
)K( # 9 =/5 '7 @ @ @ @ @ 'S
)K(K&% I A07> C0 1 Q @ @ @ @ 'S
)K(K$P 2G1 )
;
B =/ =?1 @ @ @ @ %QS
)K(K"( 1 > 07 @9?15
;
C?1 @ @ @ @ %Q)
)KS # %A#" =?1 @ @ @ @ @ %Q=
)KSE&% @@1C =5?1@G1 =O ;
=?1 @ @ @ @ %Q'
)KSE$P I * =5?1@?19 O ;
?1 @ @ @ @ %%Q
)KSE"( *3?>. +G1 B?50 =7 (9
; 5 @ @ @ %%(
)KL # Q #" =?1 @ @ @ @ @ %%+
)KL"&% *+
!"$#&%
@ @ @ @ @ %%+
)KL"$P *+
@ @ @ @ @ %PRQ
)KL""( ;> R1 #C +)# @ @ @ @ %PRQ
)KL"S ;"OB7<9 =?1 @ @ @ @ @ %PRP
)K) *. 9 *3
;
>@> @ @ @ @ @ %(RQ
)K= *. 9 *9?15
;
C?1 @ @ @ @ @ %(RP
9'-6CC!E -()C-D!" *8 B"-) B2# - 2 >
=K% ,AR05 @ @ @ @ @ @ %(S
=KP , 5H @ @ @ @ @ @ %(L
=K( ,A9 =R0 @ @ @ @ @ @ %(+
=K(K&% @@O9+ O5CD) 7 +59'-500* @ @ @ %('
=KS # 9 =/5 '7 @ @ @ @ @ %9S7P
=KSE&% +, % @ @ @ @ @ %9S7P
=KSE$P +, Q @ @ @ @ @ %9S7P
=KL ;E1', ( =9 @ @ @ @ @ %9SRS
=KL"&% !( 10 B 1(' @ @ @ @ %9SRS
=?L""( I =5?1 G1 =1
;;
> 10-O
;
10 B 9 @ @ @ %9S =
=?L"S , ; 5 =5?1 ?19 =1 ; @ @ @ @ %9S +
=K") + % #" ?1 @ @ @ @ @ %L%
=?")K&% @@1C =5?1 ?1 =O ;
=G1 @ @ @ @ %L%
=?")K$P I =5?1 G1 =O ;
=?1 @ @ @ @ %LC(
=K"= + QJ#" ?1 @ @ @ @ @ %LRL
=K"+ *.9
;
>A> * @ @ @ @ @ %LC+
9 - !E/-21( )-4! *8 B- ) B"JJ-2 * !" E#J @ ! ! -2!" 2I
+K&% ,AR0*5 @ @ @ @ @ @ %)RQ
+K$P ,A9 =R0 @ @ @ @ @ @ %)RP
+K"( ; ;
1'*C1'G59 + @ @ @ @ @ %)S
+KS # C (R5 'G @ @ @ @ @ @ %)'
+?SE&% # % @ @ @ @ @ @ %)'
+?SE$P # Q @ @ @ @ @ @ %=%
+KL ;E1*('D () =C @ @ @ @ @ %=%
+?L"&% ! (
;
10 A1' @ @ @ @ @ %=%
+?L"$P @@1C =5?1 0G#8?1 @ @ @ @ %=RP
+?L""( I =5?1 G1 =1
;;
> 10-O
;
10 B 9 @ @ @ %=S
+?L"S , ; 5 =5?1 ?19 =1 ; @ @ @ @ %=)
+K") + % #" ?1 @ @ @ @ @ %==
+?")K&% @@1C =5?1 ?1 =O ;
=G1 @ @ @ @ %==
+?")K$P I =5?1 G1 =O ;
=?1 @ @ @ @ %=+
+K"= + QJ#" ?1 @ @ @ @ @ %+%
+?"=K&% I =5?1 G1 =O ;
=?1 @ @ @ @ %+%
+?"=K$P ;3> 1 9 =(B* @ @ @ @ @ %+(
+?"=K"( ;"OB77 =?1 @ @ @ @ @ %+=
+K"+ * ;
*( L00*@@ @ @ @ @ @ %'RP
+?"+K&% %.100 5/?1 1 ;
>@O*9?>!
;
10 @ @ @ %'RP
+?"+K$P #G =
;
C
;
/57> R0
; 5 =?19 @ @ @ @ %'L
+?"+K"( #/*
;
@ 104# D*
;
?@ @ @ @ @ PRQRQ
+K"' *.9
;
>A> * @ @ @ @ @ PRQ%
$ 5 # DBC!) ( D J
'K&% ,A9 =R0759 @ @ @ @ @ PRQ(
'K$P *.R1 @ @ @ @ @ @ PRQS
'K"( L00 @ @ @ @ @ @ PRQL
'?"(K&% I +5''&NB1O(' 500 @ @ @ @ PRQ)
'?"(K$P &NB1O(' 500 = )
; #1 1 /9 =?1 @ @ @ PRQ=
! E @ JJB!" 2!"#C J
D)J) -C H
J - C -2E2 J)
2B C1#) J$
-C#-0BCE
A
3#26( - + $'!%4">k
I B -) '79 >.(
;
( ; (?10
;
9 = = * -1 %'+) 1 3071 10 , :; 55 0G
(0J ;
?10
;
9 =1' =/18 =?1 1L
3
* ;
@ &%:1@?1 =/ 4?191 =G1 5
;
?19
0 ;
9 7B 1 O
;
10 R0 O# = )@ (0*12( *3R 10 #?%3$P O +0 ?1
?1?1 > 07 0 1'J10 (R19C =G1 >!/
;
(C O55 (Q(7 )>@5 )N
; / ;
?19
0 ;
9 7 075# 9 7 *)3R1?> R5 ;
( =9 10J( =3'G =/18 =?1 >./
;
9
; %((
( (BSI 1' > 9 1C> 10 =
;
1?191 =G1 51> R5 ( =9.*)E = ; / > 5
*( =55 ;
101 19C 0O R&I 19 =(R0
;
9 7 11 : (0 ?>.59 0GB
;
CG1 )
=@
; / (?O5> '7C 4/ =3'1(R5)/> 7< R10J9B O5C9 ?119 =?19 OC 7 1 =
C 07+
;
BB0 1 @ 9C 10 +G> *1+
;
CB =?19 1 =?50 ) 'GC >!/
;
(4
; /
; (9?10
;
9
F B*> =8 +D07'G/> )?
; / ;
*(?10
;
C .N075#C0 1 2G'K PK%RF &55 *>!/
;
(9
10-C( 01' (1 1 =)?> '719 =,B- (R5990 '7(1J*( C I 4R19 =)*(?> 'G1C F 2
A09 C0 55 G54?191 =/ =?19 ! Q#"$Q(C I 0 *( 7 (9?10* =4
;
?19
0 ;
9 =1' +( B550-
;
?10
;
9 =1' 0?> # * CI 4
;
?10
;
9 =1' + J(5C0
@C( *>!/
;
( O9 7 91$!% Q#"QL 10&% Q#"$PLK I *?11 =/ =?1 = > ?"> R5
=/1C ?14 >!/
;
( @010 9 => 5?0)1'K L* * *.?119 ( =G14019 =
;
1C
000 (9'G?1J10 5 ('N01' 5C5 =J*(090 (9'G> R I -17> 5B 0G00 19
B
;
0'R +! (N1G192*>@"5 ; 0 =MD2L 10 2*>@E5 ; 0,+2LA(9'G> R 2 01' 5C59 1
1 =)(?> 'G19 =C> 07=/*0J10J
;
?10
;
9 = 7J 1 O914(5C0 (R* ;
D)> H)
5R57 1?>@> 19
;
/ > 'G1C C> ; 9 I 01 >@5)* 9 1 > 07 J5C5 *(
=BA).@1A'G5 #! 'L(
1 % '+= (FD10*+?1 019 K90 +?> <+ 1'7(071 )7 =7 )H
;
*( J
;
?10
;
9 "))
I > B H>. 1 .B =
;
9
;
/5
;
1 O5C0 -O = 7 *0G> 19C?15/5"0 5R19 ;
= H
;
51' O9 7 *1 D51C (9 <*.I 55;
B =/ 0-1 =458) 15) 2?'K?PK$P )7 =
+@) L
*+
#
* ;
@ *DI
;
10)0'*(19 ?>.
;
10J). = ) >@5A) ;
*( ;
?10
;
9
L
* ;
@ *. ?1 19 ?1 ?5,C ! * 5R 0 1A = (-,7C*55HI 4?5AR
;
C =
(.,
/012/
7O 510A 5R5*> 'G19 = > G> 19 59#1 + %)3*P@1054R)9 ?)3O
;
.PKNI
(* =9 )D
;
100-
; / 9$( > 15 (9
; 5 )(?> ;
(#" 1'-19 */9 =?1 =
5"?'156R7O 5$(7 ( 0GB
;
+0 1 =41#" DB9 =?1R
# ; OB =
;
1' L
87
O*J#E
7 1:99 00G =?15??59 1A )*$"R0 51C *J*4> 15 5
0 A = 5"?'19+?1 I (5C 1 @O B5 ) /HR10 $"$'1 ?194*( 55;
B =/ 0 1
=-'7 15) 2?'?PK$PK I (8)( ;
*( 9 C
; 50 O 09+*O90 O*4 =C+OR103&
;
OO*(0
> 05;"=)<#'.& CC(E ?>@> ?15 /9 90 = H =A9BB1 =5?89 ) = / 9@ 9
NFL PG
SG
T
FL
x
AF SC
!#"$$%&(')*$ +,-*%&./%012/%0'43"$/5'6%78"3"$39'43:;%,/%&=<
3"> %,%?%@'43.3 %,'43BAC>DEF$%0 3# %& F"$GH2I.J=3 ),%,%7'4$321.B3"#K%&."> %& 1!
-'+L HH."KG/%&'43"$/231"'4JJDEM %,%?%N'43 3 %&.!'438OP=2QJH%, H4-*%&./%0*<SRT)&'6%U!
G/%0.'43"$/231.*V HH."M'4 H$"'43VW-X"'43KV%&2),%,%&.";'= P8/3"%0"'4."F%&.$JJ3"
$%U"'43K.XJ'Y %&"'4."B%&.$JPDX83'%?JH6;!-M.!.E %&"$Y"."=3 ;'FM!/"'+56M%&.$J
Z![]\U^2_ *3'43 +G%,*$H`$/" Z!a SW ^ !3"FK%?4H`$/"B.T$M"'43BH2Y H PDX*"6.G "FH3.X;!3"
)&'%b%7'-!'Y %7 _ 3')&'%N.!E%,3G'43.
;
(0 O# 1 #%99 = ?18+O 10 & ;
OO (0 > 05E@
;
''9B 0 *5 O*-F 10+?1 ") I (B?1
= *"R *1A) c&1'* ;&@81'759 O 10 &%Q =!B 599 =(?1 (> 5B &NA =
*> ?180*(0 , *&
;
OO (0 9B > = Bc& 1'**;N 81'759 O 10'5#1'A =J?5
*)& =J5 *A&
;
OO *(0 O 10410 * ;
00 O 104H =
;
A&
;
OO (0-O 10?
I -?1C+OR10 & ;
OO *0 > R05??19 B19A C1'G5 <19 = *1(' *> ( =?15 = 1*9B
1'7OH/1' R>.5 ;
0edA10 & ;
OO*(0gf '71 =1'-)(G> = *3
; 5?>AO 19 /9 =?1R I
& ;
OO*(0 &NR>@5 ?11 (0*
h jiFdlk
monp2q
r
2s$t
nr sp ruwv
"xs-"
u
f=k
nwy
nz y n{ " PK&%&%
&(:s$t
nr 2s
nr ( 9 115 9 14599 =(?1 7D?5 G1 C | =J#1=} ( ~| 979?10*
1*9B +1'GO $(N10
y nr
s4t
nr s nr = 1 ;
>@O/ 7 1 = =(?1'
;
51' 5>A
GfMd = 0 O5@ 0@B C 1JO (9C 90 &%P 1@ =:# = ?1C+OR10410 =
@ @
−
− + +
−
− + +
−
− + +
−
− + +
− +
+ −
− + + −
2p x
2p y
3d x 2 −y 2 n x
n y
Z W2)0 3H^ %7I.;!H ;%,/!/%&')NW6 .S% /75USJHH "6 %P%0HN"3'-X'4%2- _ GHH
H$ J%0HJ"3'-M' Q.I 3KG-3"9H %&%%0H'6%,%&G'43"F;' W6S%;FDXG2IB;%,/2/%&HS/3 %0*
/ H3.
Z
$ P3H
^ %!H;%,/2/%0T')]'4%x+L'.Q"JH3.UDEV'.Q.I 3G-T %0+?'6%!H
3"* '4%C2-4+?'6%-H
=(8+O 10 &
;
OO*(0 +> 058>.5)J1J5 071' 7(0&1>d83 f =:di! &&>A5 G11
h iFd k
monp2q
r
#"s t
nr
"s
p
rJuwv
"s." u Kk
monp2q
$ ?
n&%
? p i y nyp
S('
" P?&%R$P
I A( )"s
nr (s
nr
%Ji
y n r H#" 5
;
0C 0
;
O5@R
; 1 10* S]d
3 f 01 9 1 =)
(?> 'G1C @*" R1'
;
51' 9?1 B19 C ?,+01 +, % 3*P #1A/ 79
F 5)/<551', Q ( R ?1 5C ?1 * ;
C 1- (.,
/1 /
7O 5(3 =edTi- >&&>A5 G11
@$
; 5*1 =J 7 *0G> 19C?15 &NB1O(' > R05 &N*( = R19 =)*(?> 'G1C B (C
; 5
)?> = ) C = =459 =(?14'1 1*(' O*J
;
5/1'- 1'7O71'4C 9B AG15
CO5J)1 = /555?5'71> 1 0 ; J "
; 5/.,*15%( F * )(?> 5)/<551' (E =gdEi0
> 05709+*OC +R550-090 1 =) (G> 'G19 #(3AJ9B > *) 19 /9 =1' 1@10 > GO5
?59
I J
; / A
;
(G10
;
9 7 *(A (C)( ) 1J9?1800 00-1 =)(?> 'G19 L(D@@1
> 09DG>!5 =?1 )H = (?O5> @ = 09
;
9 =?1-)H = 5?1'*+/1'470(90 R19 =)*(?> 'G1C
O*J0)1' (C
; 5 1' 14 19+5 ; 0 R! '1554O*5C0J @> 1?
;
1
;
5 ( =9 )
; / J
;
(9?10
;
9 *( (*5 90 = 1 75#-O9 7 91 ?59AR10 > '719 =21
;
9
;
=G1@)
= #1C+5 ; 0 B I R10R*0J *#J 5$PH1 N = ()* ) ;
10R =?1 )G B?9C9
).
; / ;
*(?10
;
C 9
I DD50 =H085)> 1 )? * ;
0G%3(*1 9)7 = 0C+ =?1D)'GC >!/
;
(
; (9?10
;
9 FD> ?1' => ( * = (C+?1 =1' R51 O?10 ;"6 B 10 (5 0
19* *(' B/ / ?1 C (9") ( %CS(<?P)(71?> R'1 9D5<+ 9 L(BP=)<7S.%"K = ?1/9 &)
32+-J$3'43#"$G%0G'43:H'43 $ +L;IJ2%xI="$%&.2'43B3## ]%?HH'4/3'43K' !3."I
G3 +?O Y J'6%xIF3 2)- Z-'4H"H3 ^ DXJ%,3$HT%0J!8GQ%,J3 !H4%&G/H;T') '4H" 12TH,
)&'% W /V.V
; 1
; > =5 7S7P <GLQ
@1 O ?1*5
;
00-)?> = 0GB
;
C?1-) = 5B D*/'G( = = 1 ;
( )H = > 'G19 =
1 ; 9
;
=?110 =*31 /9 =?19 = =@?5H*D1 = 7 *0G> 19C?1599$"R09519
?1J) =419 =/5"B
;
9 14 ?50 ) 'G9 *>!/
;
( ;
*(?10
;
C 7CJMN8 =59$(5+
= (?5 *)D?1?19 1 1' > * 18> )@
;
*( ;
?10
;
9 4B =55 ;
10* 07+
;
8?1 L%(LP F ='?19 (N = )
;
4 5R0 ?1 = > 'G19 =-#" =?1 'G171'3?1?1 10
=4)>@?1 09'G(C )D)(0?> 1 7(0. 9B O5C4 =(9 07%3(19 G1199 =?1 = 89
09+*O90-1 = )G555 1' 9
.I 9 =/5* 9.)N> 'G1C #" =?1 1 =
;
100 ?>.
;
10* (H0GB
;
+0?&I H
5 0 *. 8 +! 0GB
;
+9 #9 =/5 () =CD)N
; / A500E B > 0G#5*1'@8>A5*
?9C5$ () =C&3I 1 ;
( )K = > 'G19 = *" =?191 =
;
R19
; > #1 5 ; 0 (5C0 )
= 00D
;
1
; > R19 =)*(?> 'G1C D 0C+O0?NI ?119 0@ 0GB
;
CG1 ))/9 =G1 5
10 1 '#" =?1 )N#1CR1 1 *. 8 )K I R
;
(1 ) 1?> R'*1 =A1 ; /
; (?10
;
9 7 5<=J =J)> ?14) ?1C07> *1C?1 5 CB =
;
C
;
(94@0GB
;
+0? 1 B#
G1C07> 18?1 5
;
1
; > > 'G19 =C> 5CR19 ) ?9C9 )&
; / ; (9?10
;
9
NOKTJ 8k<9SAC:18GM
I
;
1004
; / C 5<=L
* ; @ 10 #E
* ; @
*.5
*( ?19C0(0
; ;
R55A@(R5 =?19H). =
= 0G> 19CG1 51 %P &N+1O(' > 05 LC(; %3C A5<=-1 =/9+5#CN
;
51' (E1+ =()9@1
#1C (".#95819C<=, 9@19 */9 =?1 10@19O .
;
51'A (B (C+19 H1 =C+A> *5
O ; ; ;
R55@)D>@1&>. 1LS
I (9B1 ) 5?1'*+(R1' 70(90 19 )(?> '719 =8> O5 = M.095G *>!/ ( 9B O9
@ @
580 O*41
;
?1@+ 1' *"*> 1 5LS@@1@?OB9: 55010J0781''<LL(BLC))
J*( 01 =?0 A> 'G1G18 4*A =J5> *1 * #" * =G1 *)D M.0*5(00 B RD1
(*1 B9*J ?>.59 > '71?1 078?1'->
;
(0 LC= I 1 =)?> '719 = (59
=?1 51' = 0G('94#"?1*1 =55 ) 0(81' *>!/
;
(9, * 107 9 5?1' +/1' 70
Q LS (+LC+(BLC' I C+4#"> 19 B5E(C
; 5 @'7( =4 DK*50- =(9 =R57R158 )D =
7 07> 18?1 5 &N*+1O' > 0514 > @) = 1G19+51*} > 05 S7P) 10 *) 19<9 C
(C ")RQ # ;
>@> 1' =C+ ?1 $( = 55 1*(' > 'G19 = #" B =?194) =
;
10)0
; / 9 *J019 K90! 4(*1> 5904> '71?19 LC(
;
10 ;
4 = 4 = 7 *0G> 19C?15&N*+1O' > R05&0R9 1
;
( = ) ; 55?9C9-)
= 5 1(' > 'G19 = *" =?19 LC= I 3&NR>@5 ?11 O #" *1090 O* =4+ 550
1'*#" 1' > 49?18B ))
; #1 1 /9 =G1, A =J0?>@1 19 (99 =?1@ =
1 (9B +1'7O&N*+1O' > R05 )%<#)))'14 #J =4G>!59 -> '71?1 07C?141 O
;
10 RR0-1 > )C<9 =$")=) B42?'?KPK(C
1-?19 =/B = ?O9 ;
C5, 55 ;
10B RR0 55 1*(' ?1C+> 'G1G1 () =C$(3 = 'G9 1'
1J#" =?1 C +C/571?> 59@1
;
0 O* B 10*(0419<9 1 ;
9 I
> *5*5H+1@1 =R5 (?O9 5<=.;> 1 99 =(+9*)' ( =Q10J1C)/ (0 OB7<9 =?1 "=%<
=( I /5?(9
; 5 )7O = #"> 1 *(@C5 1-1-2?'?EPKSE I ) =5R#C ( C5 C>@5*
(9
; 5 .I (@H 5 1('!<
; ;
55 C)*(0 JH 7 +> 'G1?1!<*&I !C ?1 )3 =
< @1 'G(9> *1 = #1C<9A =7 =( ( =*S I B 0 =410 5B =4'791('A#C (R5
'7 R11 OJ*"5R10 14 > )D B10R*(0 19<9 =7"=( ( =S+1 00G =?1(E 4?1C
> '71?1 * ) =-15B = 1
;
=(G1 + 1'-*"*> 1 ?1549
;
19 ) O
;
LQ ) =
R59 =/5 '7 =L<#==)
FD5 R'9 =C(?141 ?15
;
0 = ;
1
; > 1 ; 9
;
=?19@*( B =(G1' 14 =C+ ?>.
;
10?(.$RJ?1
= ?1 R10- > (ABB = 0419<9A = O 0?1@ =( =1' > '71?1C+> '71?141C
/9 =?19 10 > ; 5 =B> 'G1?1J9?1 =O ;
=?19! (5 ?1 =4 =D 10 (4 =7-1 AO B0 ?1
= M.05?B O ?19B =
;
9 0 >.59@ 1 =(R0
;
1 <10J) #" =?19 I
1 ;
( )N 41?(19 'GC1(' #" B =?19 ; (1 =5 ;
10B =(?1'40O $PRP( ==)<J='
1 *. 8#+ 9+B
;
9 ?1 *( 07+
;
BB0 )7
; / 5 00:*
; / 500 C C>@5*#8
=(+9R5 (* =9 ?1911'4 =R5R#"> 19 9 I A 7 +59' 500D =J (C 7 > R05
) (9B?1 =1' 51 OG10 B R 4'R0 10 JC7 (R1'-#1C 1 (*5 ?19
+914 = =
;
1 = = =( => 1 *) 7 * * 5 19 /9 =?19 10 > ; 5 = * =*5 ?19 =1 ;
9BB1 =5
;
10B 10J = ) ; 55 ?89 ) 4'GC1(' #" B =?19 10J =#9 =/5 '7 8
J 8/JB:: DLKBMh< XAG:1JB9SM
I *?O5*> ) 00 7 07> *1C?1 5K1 =)(?> 'G19 B = ?594 @ 7 9?>!5> 1 *
C 9@@1A AG1J 10 @>. 1 D
;
10 R10J %3C ). =A1 =)(?> 'G19 =5*(C
5 =?1D?1 = *(' *DR10 ?1 =N10 ;
5 -1C9 ='R = 11
;
1 )N =
?59@?1 1 =) ?> '719 = B B5)B &N G15 > '719 = +9 10 = #" ?1A*(
0GB
;
+0?
;2"> *1 55 1AO +91 5*5 = = R19 =)*(?> 'G1C D 0CB =(59904O* 01'49
; 5 =1' 1
> '719 =55+*/> '719 = B RB&&91' 1 >@10J = H1 1 9 =?19@> # O >!7 1 ) =
>
] Z
W2)0*3H
^M[
'4H %?.."
3B2.2%&B g)L%7'4
2)- L#DXB/%PH)0J'%?%02'43"V;'
!#/3"'4."W6
/ "$2HGI.J!F,I H ?OU'+;$3'43K1OP""$'43HoG.2%,H ON$ 8$
)L%0.`$/3.
Z $ M3H
^ HC.'43"$/2Y?I Z^
')
F. 3" !G3K)L%0'4
2)- L
DXF2.2%&="$GHGI#9H'O +L3%&IF?OU'+; $3'439 #H/2$3 3 8""$'43HoG.2%&HSON$ *1$%
)L%0.`$/3.
1' > R1C> ) ; / ;
*(?10
;
C ?(3 =*(C) 7(@09C B
;
0J =-1
;
( ) =
> 'G19 =J#" * =G1 14 =J00 ('7> RAF& = 5G1'*B/1'A70D@RO9+19 #(. @ #"C 90- =
= #" B =?19 * 0G%31 1A1
;
( 9?>!*(0 -> '71?19 (1?C 1' 5R5 975 =?1 )3 =
*> ) (+RQ&I > O9?> @ 19+5 ; 0K
I (C)( 01'
;
1CD =@5?1' +/1' (0*(04M!05970(90 A1 J ;
R19
; > 0GB70(90,*/9
> 'G19 = B #??> *1 5
;
9 ) = =/19C =?1 1 O #"510 1 > ) ;
19
; >
* =5 ="+RQ).I ; 1
; > * =5?1 + */ 9 = 19 )(?> '719 =R55 (0(0,B )(G>
!
;
19
; > 0GB70(90BR.FDO =A =5 ?19 =.
;
1
; > =57('G> 5 90K.I
15 +9 =1' 55;
( 0-1 45C) 1*5*)H2?'?KPKL" @@1DCO5B
;
R19
; > 0G+(00+ +
@JR51 O?10-+?50K,14
;
* 4 (.1'GO71'4B 9 )> C1'G5C ?(.9
; 5 =1' 1 1470(90
1 ) R51 O?10* I + O*< =/185 =?1 53>A> 9 = 10 075#9 1 1
'"+%AF +G10-*5B )
;
R19
; > */> '719 =AB C@*(AR51 O?10 5 ; 0*8 J0 1
O (R< =/1C5 =G1 5 >@> C "+#%DF 8<=9 ). = M!057(0(0 B 10 @R51 O?10J+G50
'7*1J1 =J'G9 8R15)H2?'K?PKL"
I 1
;
( ) = 5> 1 * #" =?1@1A 0G+(00 B9 104 =J?11C ?14O9 7 91
= 0G%3(*1 #" * =G1 1 = 0G%*(1 : +9 >. R19 8D27( C ?1 5*1041 '#" ?1D*(
07+
;
BB0 )D =
;
19
; > 07+(0(0 + ")( +RQ I 1 ' *" =?1 019 K90 = 1
@ @
T
g g
c critical Quantum
phase Ordered
disordered Quantum
N Z W2)013H^B\ 3%,K%7'--'Y %V.!="$ $%, 3 %T9`$/3 /~%, HN'43 gDXBY %,H
"3'-8B/33> %,J2-%
_
:'4HK"'43
_
3">< JM-*%,/%08')XF;I.-;M#DXK`$/3 /
%?HN'43 KB"3'-." 2I
DX%09K3>'6%0"%&." .!
_
>`$/3 !/ %,! HN%&.$J#3" :`$/3 /
"$-'%&"%0 "9.!6 Z
$ 83H
^MZ ^
DX#J$32
a
HC$%7'4/3"=;!.-F'43=!B!`$/ %&BH.5.:DXBG3
/2/-T`$/3 /V+;J.3 HHIX3 E$%0'4/3" ;!.-
_
/ U2IJ.Y T3 '%&"%0."83'43 .%7'MJ$32V '4 3
_
OP# '6%,3 ; "=H'43BM"$%&.2'43B2' OP34 Z ^ YH3. '43"K-'4H"#`$/3 /j %& $32JDE8G3
%&9%0." 3>G3$H28YH3. '43" _ OP%&-'43.; '439#"$ C%&3 OGI.M=G3B 3 >%&."
DXJYH3. '43"T%xI.;!H.J-'BX8.5;%,38') '43"X2' OP3B V1H %&%bON$ V3M!*$%7'4/3"1;!-
O .Y 2)L/32'43V3M;P-IJ2%xI+-%0H-."8 %x3%0.]DXJ%,$ $/%0 !G3J)L%7'4
2)- 5
1K
; 1 > ). =@ 514O?104+G50 1 O@
;
5C0 = #" B =?1A) 5581'759
4 5R5 =59 5
;
H ?5* =?1 5 ;
0K 1 =5?1A5R1'
; ' = 7(0(0 B (9#?10
J?101+ ?1 *) = - =5?11K9
;
9 I ?1019= (/ (C+19 > '71?1 #" * =G1 *) =
70(90.+R3F BCO5 )/9 =?1R5C1
;
( *)" = 5> *1 *D#" B =?19&)K
;
19
; > 07+(0*(0
B 5+
;
10B =(?1' 0O ")(=PRP &(A = 09#A) = *59 =(?1419 1G1J10 ?5?1
JB
; > 0K I 1?1-*9 = 1 %P 10 @1 O-#" 0 ?15 1 ;19 5?(
1 <10 ) 09?1?10
;
R19
; > =5 ?1 0GB
;
+0 ) (0 0G+(0. =/19C =?1
14 7 0G> 18?1R5R
; / 9B > $"+%+ A@*('
;
0 =J =5?1-14
;
19
; > 07+(0*(0
BA)/9 =?1 599 H =D
;
1
; > 5?1 : * (C
; 5 @1-1* 9 ) D
;
1
; >
=R5'G> R
I 19C =- 1 =(R0
;
J)( C ?1 5?#" * =G141- =-0C+ =?1 ) ; / 4
;
?10
;
9
1 )1 B
;
R 1 *.9 88) ?180G> 19C?15#1C 19 ( 1 59+0 (99 4 =9B
;
9B =?19>@@1C 0G> 18?1R5 ; 19
; > 1 =)?> '719 J ( ?>@> ?15 <15 1 9-)/9 =?1 5
1?1 *" =?19"+(JI (C)( =-*->!7 B19 B > @ B
;
0 = (5 =?19C OC 7 1
= 1?1A10 5G1DC
;
(R1 (CB =1'75(" D) ;
10 = O =@#" * =G1 1JO 0
KTJ>VvJT8KB8DF:@P
M#" #9 ) 1G> R'1* 7 1@
; / 9 O 1) 0GB
;
+0?&N( = >B1?> '1 7
$
; 51 B = ?01>A (01 B1B = ?5C+* R10 ?58 RE('7?19 (H)> 90
1 = 9?1800 *> F B =J(0(9#?10 1J(00 B 5<+A =-5G1'G(R1'04
0(0-M!05 B AR10JA01R>@ (0*(9#?10 B
;
19
; > 0G+(00+ + 1 =, ($"R>A =
*) ; 1
; > =R5 G1 ;
= @B =(G1' 01R>@ 1 ; 9
;
=?19J*( (9+*1 8 F = > ?> 19
> 5.
;
8*?1C0G> 18?1R5*1?> R'*1 =AH07+
;
BB0 ( = B550A +L ( (RP ( +S(<#+2+
;
R5+J 7 07> 18?1 5 *<+O*(0J1?> R'1 7AH0G+
;
B+90 P= ( +2'4 J B1J1J(91
; )C B18 = B111'
;
1151'->@(B* 1C9 ='R =?19 'RQ1@ = 1 =(R0
;
9 =?1( )R
;
5R0J?1 B = B =
;
C
;
(99
I -O9 * 0C 99 ;
B =C(0*(0 7 1 ;
9
;
=1' B =9 >
;
1' =4/*
> 'G19 =J01 >A57B =
;
C
;
( ) 9 100( "9+/#4R10 1
;
=(?1JB *1'
;
0G9J 9' (090
=4O9B 801 )&7(0(0 1021
;
9
;
=1' B = +95"(P ( ++('%( 'RP.I A#"B 1 )&
(0> 1)9B B5)1 ;
*B =
;
9
;
( + 55 9H*
;
10 L ('( 1 =)(?> 'G19 =
9 9 7 (9
;
B7J)J1?>@> 19
;
/ &/''>< * 078?1 >@1> -1?>@> *19
;
/ 8 =?1J14 = &55 ; 1 9?1R I 9B 55 1*(' 1?>@> 1
;
/ <A*( >
;
0 1
L
MN0
#E
* ; @ "'S(<#'2)C(L
3
* ; @ "'=)C(CL
*+
#
* ; @ "') ( '+)< %QRPC(4L * ; @
7 %Q'
10 (*1 =5 1
* ; @ 7 &%%Q < %%L( I *(C)7(@ =-551' 1G>A> 1
;
/ +< *(
;
1+R5 ) ;
( )&
; / ; (G10
;
9 7
F +9?104)
;
B =(?1'G5 07+
;
BB0 1 ?50 ) ;
*( ;
(?10
;
9 7@ =JB5590 (C+
11 < @* 1 = ;
?10
;
9 =1' + @R19 =)*(?> 'G1C 9 9 7
:1 A1'G9 R'KHS.% > C6 1 => 55 00 3
* ;
@
5&%% =)< %PS(HF 1 + % G559 =
> R0 019 K90 = (9B?1 1'< 14 =4
;
(9?10
;
9 =1' B A (?>@1*1 H)
;
*)
> 1? 0G%31 N =79 =58+1* 19 < (9 =?1 /1'9.)(G> . * 5C+?5 O
;
10 +
;C)E1$&%PS ( %PL( =5C * =*5AO
;
10 J1A#@ L =7S7Q ( %P))< %P+
I 5B N 7 ?19 (D = > B N <1' ) ;
(C.)" = > 'G1C #" B =?1D99 =
; > 1H
;
9?10
;
9 =1' B 5R 0 55 1'G996.* (*1 =5 1 #"> 19 B5 (R'7(9BDHO1 > 0 1
( *1'J5*(' C1'G5 B 5 &%2%L( %P' >!59 DCO5 7 ) 19CB ='R =1' > 'G19 =
*" =?1H#9 =
; > 5+@ &1('G9.O R10 O5 = 9+?11 > R0R3I #"> 19 B5(C
; 5
C 1@1 2G'KP?") )7? = =870(90 ?>.
;
10 L 3
* ; @ &%P'10 )7
;
10(090
; (?10
;
9 =1' 3
* ; @ %%L(
1 (9 =1'75(? =4> 'G19 = *" =?1@9 =/ ) =@B =C(0*(0J?>.
;
10 104 =@
;
(G19
0 ;
9 =1' ?>.
;
10 5R?< J8>A5* I '*1A)
;
(9 1 OJ#" =/9 0?@ 55 1('G9
=( *(D) ;
E1?>@> *1
;
/ D= 55 9*
;
10 = 1 =)(?> 'G19 = 9D99 7C(3 = + 55 9
> ('H 19 *> 90G D1('G919 (9+G1 1 > R0 5R 0 !D10A3 = #" ?1 C
=/@O = (9B?1 1@> R0 ( 0 O* SL#" 9?>!*(0 = ;
* )> 0 O* 5 1('
+ *55 <9 I C+ #"> 19 B510G1' ;
''9B G>A> ?1 ?85'G1 ) = ?OB0
=
;
9
;
(9
I *?9J) = >A(B > 05 B =/'7 )7 (0 )7. =4B =C(0(0 BR100(1
$&%')(+*,(.-0/&((.-&*213*4/ 13*4/2567'8*92:25/);0/&(=<'>;&6?'2@A(.-&*!<;&B&'C8CD*2;&6.E)13/)F2<5<(HGI'>F&6+*21KJ*&LMFNGO;&* E&(.13';!6+B0/&(P(7* 1Q<;&R8*N9):&* 1Q<C!* ;(76,F0/067*L
@ @
. Z W2)0 3H^ '43;!3 L+53%&IUGH. %7'4/$N GQ%, 3 -HHI .G/%&."P $32];%,/2/%& )? 5'6%
)L%0'4 -!%?2+L'%&"%0 "BW6
$
$
/E!G3*)L%7'4
2)- 7 5XDXM3 -3G,I1 G/%&."MT<
Z
D ^
O@3#BG3$HB3 ),%?%7'4 $3! '43
Z
$3! b%,HH'4/3 '43KM%0'-.-." I
^
#DXB"6!FG'O
3'4J3G/%,-@ 2 H' O 3%0$.])&'%?3VE!`$/ %0
_ %0.-'433 P X.
J 3" E"$V'43"T2
;%?/2/%0#F$%E3%0$.
Z
$ 13H
^ 8')E=G%,H] $3!F 5-%?3 3 /3"%&"'4."
/ . < #)L%7'4 2)- 7L a '-@.]"6!T@3' %7'!-." 2I . 3H'6'4/U-!%?/2/%0
;'MT;%,2+?'6%0"%0."*'4*'4/3" %0E)&'4/3"N3.'4J3G/%,-EXXH' O 3%&I _ *%&-'433. J
Jg3"M -+;%0'-.-."
Z
'4* %0 " ;'MH' O +L3%0I 2
^ 3 -3G,I*.L-%?3*X$*3%0$.
%39 = > 'G19 = > 058G1CB =1' )E
;
50 7 *+5'A5 00 O5D
;
(H558?OB0 #"
> 1 58B =
;
C
;
(9 ?1 ;
19 B = 5C5%(RQ ( %(%
;
5 =5 C>@5 E(9
; 5 (H5+ ?O9 R10
O*
;
50 0G> 5 ; 5 =G1 &%(RP(.-19- ( &%2%) ( % ((H10 (91 B
;
0
;
81'
=> 80/101 ! ;
* 55N ($"R> =?1 ) ?1CBO 10 &
;
OO*(0 > R0*5-&%(S
I B
;
111' C>@5 =9-O9 7 *1 > 'G19 = #" * =G14) B =C(0*(0 10 ;
?19
0 ;
9 =1' ; / G>!
;
10 ?1 = ?1 10-10 =,
;
1 = 09+ =?1 ) =9BJ0R -O +0
?1
;
50 ?1C0G> 19CG1 51 B > ?1 = 10 (H9 RO58 = >!7 B1 )A?1C
0G> 19C?15
;
1
; > > '719 =8> 1@
; / ; (G10
;
9 71A =H 9C 01 >@5*(5 =G1
)EG1C07> 18?1 5C1 B > *( 5 5 90 1 + B * 1'+?19 .)" = 09+*9
=G1@) 1B =( 7 07> 18?1 5 B >
o'!C)! "' !+Lk +!61 2(*'!
&(D O C)G'1/5B0GB
;
C?1 )7 = > 9 =R0 *B1 1 = = 'G1 OC)7 *1 1' D0C B50
19CB ='R =?19@1A = 1*" 991A = < =4> C R04) ?19 =1 ; ; ;
1 *@ =/1)> =G1
;
+0' J10/101 =5'*B0 O* 9'G1* &%(L( 10 !59< 10 5B?1 &%(2) ( %(2= 1
% ''SE,;C)B &%(2+ (8)(04 1 1 =(R0
;
9 10 ;C)+ &%(' (91 (C O
;
=4> 9 =R0?
I > R1 0D)G = > 9 =0@ 810 1 => 5=09+ =?1 )G =D9?1800
;
19
; > > 1?C+OR0
*> O* RC1'AR1 / ( OC9:* 1'G1'A =AO C $
; 51 & 4
;
1 * (R19)7 > 9
=G1 2R> ; #"*>.59 *)
;
1 *J =/1)> ?1 ( = OB?1 R'?5;
O (R19)7 > =?14
=@)>@?1 =/19)7> =?1450G1' - = *# @)
;
19 =?1 I 9BA 7 (R19)7> =?19 <
1 =JB ) O51*&&>@5 ?1R19 I 4 ( ) 1
;
+0 1-> 19<?50 =( => 1 I > C R0
*).?19 1 ; ; ;
1 * =/19)7> =?1H*" 10*H ?1/ HO#9G10-O51*1&&>@5 ?1R19
I
;
1 *A (R19)7 > =?1 !)7> 0 1J49?1 =1 ; ; )C?12(REJ?19 1 ; ;
!*/> 9
1 =(R0
;
0@
;
= Q (8) = 1 =55 '7*1 9B > 10( 7(9?10* =91R55
#%99 =H9B > 979?10*& 1 8 ?9C5C
;
(RNI =/1)> ?1 1@O B9
;
;
8 (RCB+C 5*('*E1(' *( 90 OC)( =+ 5 "1*('GC&I (17> 5 1'
() = HC>@5 5B?1 . (1> 59 =G1 'G
;
A (R *&%9S7Q)
L*9 Vf OH =
;
1 *H =/1)> =G1: 0G'?1 5C9N =!&&>@5 ?11Fh 10h f t
h8fC
I 1@ = ;
1 * =/1)> =G1J $
; 519 )7 >A1' 141?1 B$
;
19A)
;
1 B @ (R19
)>
=@ 19 >@ =1 '1(
iMf
t
f " PK$P?&%
I (9
; 5 1 = +5501?5 $
;
=?1
h
h PK$P?$P
D019 =D* 1')G =8&&>A5 ?110
;
1'H = 1? *.5 5(C =G )G D1 =>@ =1
'1*/ . A*
;
R5 ?1 D). = > 9 =0KDF > ?> 1 #(> 15A = 07%3(19 '1/ 7 *(
1 ;
+90KH2? #(? =@7'G155 '1*/ (+90 O* '71 &%(L(.(0
!
7h#" h%$&" 0 7h#" h ' PK$P?"(
*(h#" 01 9H 0G'G1 52 * D10 h%$&" = 1?1C0G '?1 5* )N =+&&>@5 ?1R1R&#?9?10(G
;
C * 5 ?19+1' '1/ 7ED1 ;
B &%CS.%< %9SRL( L9 )( OH = / 7G9
;
19 1' = 1 ;
>AO
*).5> 19 B #" ?1 104RB 4> ="A5*> 19 *)
+*),.-
*),.-
n
p 0/)4
y
21
n
'i31
p
bh
n
p
PK$P?S
1 = '1O C )4(D( =1 =1R5 &&>A5 G11 = =?9 (5h 6 Q (DR = 1 ;
>@OH*)
*5> 1 *-#" ?14J 9?1B90 1 = 7 9) =- =/1)> ?1 1 007 =?12( JA) 10
= A = 5 *H'1/ 7+ = '19R5
;
941 B1071' (0 ) = * =5 1 ;
>@OH*) =
(9#?10G1' '1 99 7 %9S.%( %9S (&I 1JOD (1 )7 1 80G> 19C?15)&5O C
I 9?>A>
;
7
'h (R0
;
9A'*155J)7 O = '1*/
10
*), -
1 *>
1 A?19 R10 1 = 7'G1R5 &&>@5 ?1R1R 1 = # (?5)( =1' 1 ;
>AOH)@1 > 4*(
'1/ 0 +J = =)1?5 $
;
?1 * R1411 98> 5 B9 ).9
;
50 07%3(19 R5*?
;
=?19 2*7
> B *( C 5/
;
<+9?(?1 =
;
1 .+?> !?1 8A@@1 ?O 19 5+0@+9 )$
;
?1
A14O +?50 1@(0*3 (C =@%39 =@B > DI (C)7 @ =
;
1 =?14 9+19 =5
9
;
( =J(5C1 ?9CC 1 A#%99 = 9B >
I > 9 =R0ADO1H/50 * ;
39B > H> 5 1 ?1019+0 > 4?9CCNI 9
; 5 =1'
1? ?
;
=?19*(D+G50 1 1 1 59 5 # ; ;
55 1HB?> B
;
O =( => 19 1B N7(0
71
; > 55CFD> ?1' =9+ B > HB
;
070 =( *A>.
; 7 > R05'&%CS ))< %LSC(07B8 =
> &%LL( %9LC)C(7599 =(?19 G1?1
;
51'&%LC= < %LC'(R 7 07> *1C?1 5 & ;
OO*(0 > R0*5#%)RQ)< % )SC(
?180G> 19C?15")*>A?1 &%)L(0%))) 10 OB?1 > &% )= ( % )+ I ;
1 =?1 B*> 9 *
)?>
;
O = *('
; > 1 ?(&&* 82< 0
;
51' (5R5 7 A?19C0/ =?1 ?1
;
9
;
)
*/ 9AI 9+ 5 =?19 (9#?10 (1> 5C0 (R5 =?1 ) 4?1 =1 ; ; ;
1 *
=/1)> =?19
1H 00G =G12( = ?19 =1 ; ; ;
1 B D =/1)> ?11 OH5BA(590B
;
O =5D 'GD7(0
1H =
;
O =?19 */> 9 9I .1 OH =*G0?1 ) '71 . &%9SRS( %)'( %=RQ)G77 = =5
?19+1' '1/ 7 &%9S (( %=%( %=P&N(@ = &&>@5 ?1R1h R10- =41 =>@ =1 '1*/
*(4#" 100 1 B9 +?> 7(0.
;
= = (9
; 5 =1'
;
50 ?
;
=?19@1 OJ+?50?
1 G1 =/B 1> R5*1'-9?1 =1 ; ; ;
1 B (R19)7> =?1( = ?J)H = =
;
1 =?1
+> J B =/'G9 )*(0?NFD55* > 1AA'71 7(03*( <=*1J1
;
1 +J = 1J =
;
1 =?1
(& > 0 1 =@?O 190
;
O =@(0
1 =. < =
;
O (59 =?1 ) * =5J?1B1' G1 =1 ; ; ;
1 * =/19)7> =?1
/50 5507> 18?1 5
;
1
; > 1 =)(G> 'G19 3 J@C5 1- = =
;
O = (5
9 =G1 ) = 9?1 =1 ; ; ;
1 *- =/1)> =?1 1 1 R?5K 5 ; 5 4 = 1(' 10
= #C (R5 ( =9 *) 'R0 1 5 ; 09-I
;
O J =( => 19 ,)> 0 O
;
R55J07> *C0JB I 1 =A'G(
;
104B + (R0
;
9 A) C1'G59 ?1 = 0G> 10
=J#" ?1 ( 55R =59 F&B
;
>@1'- = =J'G
;
10 B 10 =J5> 1 * #" =?1
). =J1?1C+19 */9 =1' B > *( G1 =1 ; ;
85@?11C 90 4 =A'G(
;
10 B 104 =A#" =?1
) A)
; 55 >D( = *5> 1 * #" ?1 ) 19 */9 =1' > * 5*> 19 *A 5C 7
+RP I.5?1 1 O ;
R5990 45R5 =59 D5
; > 'G19 ='?5*9 ?1J5 ;
0?AI
(9
; 5 =1' #%99 =+&&>A5 ?11A9) * =A?19 1 ; ; ;
1 *@ =/1) > =?1J O5R<807'?15G1A =
1 ;
>AO3)& =5?1?("R& =J1
;
>AO)& =5?19 A?19+0,
;
1 = 7C
I () = ) =5?1 ?1B =G1 '79 -/ D19
; =C
;
( *) =+?9CC ) = 9B >
I 'G(
;
10 B =4 5G1
;;
> 10 = #" ?1 )D *> (J J 5G14I
O5<80G'?1 5 = ) = %39 = &&>@5 ?1R1 5B >!594 = J = 'G(
;
10 B 1(' R1 O
?>.
;
90 O* = C(* =5?1 O5<( = ?1C 5G1 0G#8?1 O* -?1C =5?1 O5R<(&10 =
y =5?1 1('G9DO* =
y =5?1 O5R<*A1 =B1B = ?>.5#" > 19+OR0 (?O5> (0
;
0
- ) +OR0, (?O5>
1-1 5'J &&>A5 G112( =
9?1 =1 ; ; ;
1 B J =/1)> =G1 O /590-
= ?O9+O59 1 (0
;
0 =A#C (R5 (* =9H). =A > HI %39 =AGO+* O59
0 1 @?1B = 1 ;
>@O* ) =5?14O
;
R1 O-5B8?0 O#- = 1 ;
>@O ) #" * =G1
=41099 D73115 1 =@ B > I (* 7 1O59 4101019 D?>.
;
=G1@)& =
y 5G1@?1 =O ;
=G1 = #9 =/5 '7 H10 4 = 9 =/5019C =9
I -(0
;
9 =?1 ) = 9B > )#+OR0 (?O5> =
;
-) =JB1,
;
C * 5+9
;
/* A). =49B >
;
10
;
0( $R )H?15 ) 1 ;
>@O)D#" * =G1@*(J
;
*1
9
;
( =D89H) > I B
;
5 7@*)N =B
;
C * =5!C
;
( 1JO 1C9 ='R 0 O*
1R5 1'- =
y 5G1J9 =/5 'G9 ') > B )D =J#9 =/5 '7 14 =411*59 =
8> 55R 5G1-1
;
>AOC(E?1. ; 50-R55R =,
;
C * =*5+9
;
( ( RB) = #9 =/5 *'G9
07B =O ;
0 ?
;
55 * 5*(' 1 ;
>AO ) =5?1 * 115$(?1 ; 50 55 = ;
C * =*5
1 ( R
I %39 = &NR>@5 ?11 0C+O9J = B > 1R55 O*
;
C * =*59$(HR& =
y =5?1 O5R<@?>. B9 =5?1C =5?141 ( C ?1
.1 =9C 9*(*("G1C 10 7 * =5?1
() =CH*( B
;
0G0?.I (8)( 5B4 =@ 7 * =5?1 19 */9 =?1 H O =( 0K
I 8
;
C * 59 1 =(R0
;
0@O#H =B* =5 9?1B1' G1 =1 ; ; ;
1 *H (R19)7> =?19&1 O
0@ 1 #" 19CG1 *)3 =@0 ) L10R
; . 2*>@5 ; 0*+5<=
;
C * =59 &%=( ( %=S&N(H =
5 1(' (* =9 *) > R19+OR0 > *( 09BO0 O* %39 =5
* =59
;
A = H = O*(J1 ( C ?1 (9B1 1 =A7'G15 > (*1> 59 =A?18 * 5D (*
=C I !
;
8 * =5CH?O 190 1 = =CC 0
;
H =4(9
; 5 =1' 1 /9 =1' (GO5>
R1JO +?50-O9
;
+ G15A C> R55G1
;
>@O*)1
;
8 * =5C *( 19=* 409+O =,89
*)N = ?19C0(0@9B > 1 =:# C
; 50 O BCO5 409BO =D89H)N45 (' *5B
*)D> 19+OR0 B >
1 = 1#" 9 * = *
;
O = * =*5J?19+1' 9?1 =1 ; ; ;
1 B 4 =/1)> =?1-@0C
BO0A1 09 5 * 8S 05 =H = 5 ; 5 =?1 *)"9 =/580*1C 9N) =H%3C D/ 7
*.9 8?L 'G@R1A O
;
9B8O5@*" =/?5 =G1 91 ;
R:*. 8#) ( *.9 8=410 *. 8
+ 59 =J> 9 =R0J #1CR1AR10J 7 +59'-500*3 *> 9 *. 8#'4
;
>@> *9C .1071'*
*)& =: < 10J'G9 4O C)N
;
=5?<*
%')(+*D(N-0/&(,;&'2(?'>; 5G( 'H(.1Q<: 5'>;M<;(+*21/0B(.<';&64/013*I:013*67*2;(` ;OR2*2;&*21/25(.-&*H(.1Q<: 5'>; F 5')BB'>;(7/2<;&64/255>:&')676=<F25* C8E 5(=<
2 > 1?C =549B > J010 ?1 5 =CA = 'G5GO 5K =
;
9
;
( ) %3C &&>A5 G11A10
?OBRO59 GO 104O* > R19 )N@
; O5@O C =/19)7> =?1 (A1C9 'R 0KI./1)> =G1
*( B
;
070, 504 %39 =&&>@5 ?11 ?19+1'J =41
;
>AON*) *" =?19 I
=/1)> =?19 > ; B O
;
B0 J?O 1 #%99 = ?O9+ O5C&I @1 59CD)N =
;
9
;
85
= #%99 =@*/ 'G +@ C>.5 10 1
; +#9 = ?1A = 1 =5)*?O5*> I
9B > = 5 ; 5 =?1 )
y * =5 (90
;
*O5A
;
1 = =9DO?> 9 B8O5 ?1 =
;
=1' C'G1KR19
(R'G9B9 9 5J5 >!5> 1 = / (
;
O 5 ) 5*'45B@)D > *(
(9+*1 0K
! 4%4'!
; %3C > 05 ( = 91 ) (9 =5 894C1 = 555 )
;
4?1 =
9BB1 =51894)@ (?O5> =
;
O1' 0G =/9 0 O*
;
119=* ?>.5*"R 7C &N19
>!7 1 A 07+ )
> 14 0 %39 = > R0591 = 9 * =
> =*> =5*B =
;
9
;
(@) @ 1J<10J).%39 = > R05 (C+19 90 ("1 > 5@%39 = > R05
( = 5> 1 *D#" =?1NO = '7(
;
10 H1 O 0 * =*59RODH9?>!5#"
;;
> I H 7 )N *@?>@> G1J1J55 >.*/
;
( 89 , 1@#"> 1 H1JO
;
10 RR0J?1 =JO 8 )N =.9
;
(
1 =D (R 'G5GO 5
;
9
;
) =,&&>A5 G11 R10 )3 = ?O9+ O5C 55RO 5
;
0R 0
) = > R057 =/19)7> 0J > R0*5/ *
= 1 ;
>AO) * =*59 # ;
J > 1'
@) *1 CO5 R10 (10 = ;
OB$
;
1 5 ; 5 =G1J) ?9C5
;
1 = =9J>
;
8JI
09 >A1 ?1 *) = %39 ='&&>@5 ?1R14 )5 90 O*A = 0?>.8 =?1419
y * 5J(C
0 ;
O5* HF 5B8? =?14 +9
;
@)7
8
;
=?1 9 >./
;
(R31
<=
;
51' 5>A 1900410-1 1?1C+1 ( C 1'A)>@?19H7&O+?19 *( ($
; 0K!N1*55(
=H =98 05 =4 *(0 (AO+?19 (58 1 ) ;
R19
; > 1 9B >
I 19C 74)7 = 09?>.8 =?1 19
y * =5-(0
;
O5' 4 +*1 1 ;
O =
5 ; 5 ?1@)H = %39 = &&>@5 ?11 O9
;
+ ?15 =
y * =5 (0
;
O5-1 ( C ?1A*(
10/*10*1 ) = *> CCR&I B?10 > R1D?1 D*) =H &
;
O = ?>.
;
=G1 *).%39 =,&&>A5 G11 10J?OB O59.#
;
@9?>!
;
=?1 (@@B 10*(0 1 ; )7
'G(
;
10 @1*('GC Q* * =5 *> 10J078?1 (*5 ?1 %8 * 5 > (7+9+;C)B &%=L
10 (C) (193 (1D
;
N =BB8O5 7 @?>.
; > ; 5 = * =5 ?1 =O ;
=G1 ?15 (91 =5
O*1 (R5990 %9S7P ( %=) (0%== 10 ?1 =1 ;
9@ O-#"5? 90 1 18*5C I <+ 1'G0G*1 A
01A C>@5 7 =/19)7> =?1 ?1 =A/ 7&5C5+JO5 C
F *?>AC1' 5 1 = (
;
(4 *D , 55EO G15J8<=9 0 1J =@* =5(?18B 14 =
1?1C * O =((17> 5 1' (R5 =?1 )? =D =/1)> =G1D)? = 1 =5> R05+ = %39 =
> R05/ A?1B0 =J1
;
>@O*N):* =59 ;2" >!59 ). = ( *( (5C045( 0J1
)>@?1 > R05 &%)L( %)) (0%=+)
:1AG9;:=DLK! >J>D0K:
I , R05 9?1800- ( 0#10-G1 5 =AF3 C 4) =-5 = = B > R1 O
1 1 ;
>AO , ) B 9 # 111' 5RR5 &5O # R LC
;
4B
; > - = , 1 R I
01R>@94*) = 9B > 4'*10 O* &NR>@5 ?11 h C 1' 1 = 19+ (R0
;
9 @ 9 *)
=-5R5 & 5O* 99 2*NC>!5 =J?1 09A1 ?180*.1 =>@> 9 =(")>AG1 C
;
=G1
5 =
;
'7 = R5+'BCO5R&I )R
; H?1D859B > : @1 O 09BO0 1 *> H*)
*(0 (AO+?19
I &&>@5 ?1R1h @
; > 0 OJ*)1 -/1'RAI > 1 = @ A 9?>!+90-)
)/
v
9 =1'JG1A
1 ;
>AO)&8 9@1 1 7 *)& = C
h k
v
" (K&%&%
@@1 ) ; 3B
; > 9$(G Mh 1JO #5 H
h h u
(K&%$P
B = = 9 =
; > )*h
8>.5 + O55 R10 = = 9B > 0R9@1
;
10' ' +
=/19C =?1 )(?> Q = /1' )KR5
;
9.)1 51 9B 8&I C+ ($
; (*> 19 &0 1 19=*5
>!5 = H O C> 55H
; 5C)
;
5)& = =ABR
I '7(
;
10JB J)h
10 '1@B 9 10 '*1 *1('79 CR55KO4<15 1R I 5 55
O4 0 @5*> 19 * #" ?1 )(?> *4 G5 #C
; > 1 O O ; 5 8 AB
; > 0
= *5> 1 * #" * =G1@OJ 4'G(
;
10- 1 O 0 ;
C * =*59 O*
=J
;;
> 42*7&8>.5* 7(E ' (2". ;
C 55EOJ07(0K&N*1C) =2(3 @ ;
10*B RR0 =
. * =*5" A 1G1?> )5> 19 B @#" * =G1
B
; > 0 = =,?9C59
;
C<=C *0A)@h Q ~h
51<+0
J =
(R1'AQ 9 (' = 5*5
;
A BA =/18 =?1AR
;
F = * =5
5
; =9
;
( O (R<H0 1A10J11 HO
;
B0-O#9G105 !N1*55(4> R0 ) h
557O?> +) *
2 ;
=> ((E = * 59 ) Q C 55O 5R5E14 =J+*1+4 = 8 R1-O C'710
*@)& => 8LC ( O =A/ 7" H
;
19 41
;
>@O3) * =*59
F&D G1(C H#" >!5( =@(0> # =1<H)31 1 =)(?> 'G19 = &NB1O(' > R0*5> 0
;
)(?> B =(?1'G5
;
590
;
51' R )E1 .07> * *( <5
;
50
;
51' (
> ?1' => +59?(ER'K &%9S ( ( %=) F Q (" = 'G(
;
104B - =+*R0
;
9 B =J81'759
G1 5507> *G A*5> 1 *@*" =?19 ( 5R5* =59 I 41
;
>@O)& =9+45R5 =59 $(R
=41
;
>@O3).07> A ( 1 1 = C1'G59 B (?8 557O 'G1JO* =@*/ (
F ?19C0/O5DC>.5K =G1H)E = (?O5> R1 O *C0 O* > /1' 1 =5 (?O5> h
A1 %39 = &NR>@5 ?111h
"
1: H = 1 ;
>AOG)*5> 1 * #" B =?19.0RCD1 1'R
I A = 1 ;
>@O )8 * 59 C
; 50 O4 G1+*0'
;
19 7C I *1J =4?>.
;
B =?1J) > 1?
?9C5/ 1 = =9 8'G1?1 =5 C>!5?0K
1 = =9C?( =
;
+ ) G1 =1 ; ; ;
1 * =/19)7> =?1 * %I &%(L( %9S%( %CS ( ( %CSRS
0* 90 1 70H *C 9B > 55 ?19 ?550 > /1' ) = <10 09+ O0 RO
450*
7h
"
( Q (?&%R"(
RUh
"
?19+9D =41
;
>@O3)* =59.#
;
A1A ( H ( > 930* 19 B'9
%R*3?1/
;
R5**5* =
%C1' ;
1 *A =/1)> =G1 ' ;
*(R19 9 1 1C)> =G1@) ('G157> R05KA5 8
1'* = ; 5*C( 5* = =
=/1)> ?1 &%(L( %LRL( %=' (0%+RQ).1 OJ504
?O9 R1 A#%99 = ?O9+ O5C
"
)?> =@'G1 5 ?O9+O59
PK I315 C>!5 =
I3 >.5> *1 =
;
1 B (R19)7 > =?1 1- ?19 =1 ; ; )8G1-G15 = 9?>!
;
=?1 )
G>A>
;
7 (?
; (0 C1 = > 1' D5 H1 11 98> 5 / 50G1'A 4 0G%3
19 =5?
;
=?1&%(L(
h
h (?&%RS
$Q 1 ;
"R5*D*/> C *A*/> 9 = 1' = ?19 =1 ; ;
=/1)> ?1
B =1''?1 Q4R10410'?1
(K !NRR0J?19 =(?55O5 7
A1@ ( *?9 )N = 11 98> 5 '1*/
) = =/1)> =G1 DR1 O 08
8'G10A
;
= H9 (C+9 O5R<=BO 10@0G'?1 5 = &%CS.%( %CS ( ,A7(9 (G H (*1> 5*1'
1 = +*1+ = H> =" 5*> 19 O9 = 1 *1('9 =55H 07%3(19 .B C *( =/19)7> 0
> 7 /075 = 1 =B4O9 7 1@*1('9 =55 0*91 B 9%9S.%( %)L( %))
MN ( = = '1/5EB =
;
9
;
( *) / 7 0RC-1 A010 ?1 = 09 5J*) = > 9 =R0
O*D J%39 = * 5C9?1B1' > 05" ?O 10K FD5B = > 9 =0 = 1 *%ID *(
?1RO5(R'K.7 R'G1 5 =/1)> =G1@*(
;
+0&%=2= ( %+#%( % +S
1 =9 (9B1 =( => 1 = )R
; 5R0 ?18
;
O = (59 ?13)? *%3ID9NI &/ (
&%9S () = B A5C0 G>!
;
?1 )&O
;
10 B 9 1A'G"(0 &%9SP ( %=2)NI
?1/ )HC>@5* 7 =/1)> ?1 10G#19CO5 )? G1/9
;
55H*5*GG>!
;
?1H)N>
; 5
* 5 %39 5&%=2= ( %+#%
8G:=<
1 #?99 8(K$P = 'G5GO 58B =
;
C
;
/5#9 )%39 =H( *( 1 59+0?NI O CB ($
; C
55EO ;)K (K&%"(K-2
; > 7( A C5 1J = = 51<=90 5
;
B : ( 7 ?50*AI (8)(A =
%39 =@)/ J?50-1 =@ =*> 01>A 5>A D1JO@?>.
;
0-1 1 9B >
#G9 8 (K"( (/ / JB9 =?1 1+ =
;
O = *%I )9&&>A5 G1-)/ )
1@<10 DG1B =
;
9 0K !.0 55 0G> 19C?159#1A> R05?1 5 =C *( > ?1'@ = > R05
A1JO =( 0-1 = *9
#G9 8 (KS ?19 R1 0C B50 09+ =?1 ) 5 =>
;
O *%3I 1 O #" *1090
>
R55 G>!
;
= #"> *1 55 (*5C 19 9 =/5)
;
19 =G1 #? = #" 19CG1 )(G>
&NR>@5 ?11 4?OBRO59 1J>. 1 DG1R
I .H
;
>A> *C0-1A#G9 8#(K"+K
" s 2"> ' 6+
1 B9 =?1(
= ?1 JO54 G1B =
;
9 @ > 1' ;
*- = h
"
); 555;)K
(?&%R"(K@I J*'1CB 9 ) * =*5 1 ;
>@O / 7 ( B4@ O C )& = &5O #
*) =A > ,) =-> 1' 5C0
; O =5?(G =-> ="45*> 19 )*h
"
10
"
*(
?51?>@5 1
Q B8n88\:=DFEG8 AVRDX:1J>KDXAK
B"# B#1 0 /-
H85 1@ = Mh
"
1JO 1
h
"
jh
u h u h u h u
"2"2" (K$P?&%
*(1h 1
y * =5 (0
;
O5D/ 7($RTh >
;
(C
y * =*5 1*('GC ,A7*C(
=> R01 >A@> =" 5*> 19 )R1 )3 = 9?>!?1*1 8h 1@O GO 10A?1 1 5
;
B )
'71 7031 )3 = 'G1 5&NR>@5 ?11AD) 1 A/1'RNI ?>.G119 *h 1 O 010
; C5 1AB1071'J(0&1 y
;? (K$PK%-?>. B9 50
;
- 09 >@1 3 (* =9A)Bh
"
1 +$
;
1 ) 9
($"R> =( => *1 I ,B B / <15 =J'7(
;
10-B 41'D *4019#h
I +G10-5C5H 409BO A01R>@9D) @81'75D * 5 *5> 1 * #" B =?19 D(C 5
,CO5 O* <15 1'gh JI =(0 5C5EJ(0 )8h
415
;
00+ ?19 R1 =
19)7> =?1H?1 = 1 ( C ?1 ) 7 , * 599NI ;
(C * =*5 1 /9 =G1*(H?19 R10 1Bh
10 B ?1R 2(?> =A'1 #"1 1AG10*1+90 > *N =(7 A =CDR10 > (, * =*5
> H1 ) 1 O 19'G5C 90K&#G B ( > 1 ;?#(?$PK&%! (*0 = 9B > 55
9?1 =(?550 B =1''?1 D). O (R 0 5B ) *?O5*> 9
2? +?> 1 =?1 @5 ?0KJI )?55 1' '19 9@)D * =5 1 ;
>@O/ 7%(
( 0190J
Q 'G(
;
10 B * =*5
;;
>
| B B 6%D =5 ?1 8 |
| | B B P' =59HG1 C 9M| 10:|
(K$P?$P
$R (
Q Q
Q*( (
| %
| 10 ( | P
| 10 B ?1R4I 9B B 9@R1 = 'G5?O 5 &5O
# )@ = ?9C5& *>
;
10 B
;
0C 51' = B *0*( -O+?19
| | 10 | |
( 01 =R5?B 9 I 107B =1'
; C O5 7
;
+9 1 R>@O' ; 7C I J>@O' ; = 1 O
> 90G0 )N19B 1 O*@ >@1' = D 19 D010G1' ?1 BC*/5R1079|.| "2"" | *( C1
@
;
10 >
;
?1 ) 1D ) =9BJ10G9
H2*78>!5 7( = 'G(
;
10AB
Q B
; > 0
O
;
1 ; R
L*9 O 1J*O =/*@( &9 =1'4?1 10 G1+*1'J 1 ;
>@ON): * 595 ( Q?
4
?1 01 9H (CB =9 04/ 739 =1'4?1 R110-O* 55B C = *"*9 =5 y
* 599
MN5 =@/ 78h *@010
h
(K$PK"(
h
k
np dp n
t
p n (K$P?"(GO
h
k
n,n
/
pp/d pp/ n,n
/ t
p t
p/ n/ n (KPK"(
h k
nn p p
d
p pn n
t
p
""2"t
p n
""2"
n " (K$P?"(0
( D = 019 = 7 / 7 MN = =9B ( ( 010A?1 = ) ; 55 &5O .
I / 7 t
n (
)/ = DR115 * =*59 C =|&I A*(@OB?1
*/ 9 I * 01 =?1JR1 O R570 1*5
;
04 (0*97(4(/
; 58?1-O9 7 *1J = * 59
9
;
19 )D = 9?>A> ?1-C
;
=?1 > "R> ; > ?1 ) 3 * 59 > # O (C+19
'G1 8 K|:) = * =*59 9 007 =?1R51 1 5
;
1
; > 1 ;
>AO$(K$RK)3 =( 1 O 07%3(19
* 59@ 48 (3 = 10G99=|10 *(J
;
OB =
;
90 O* > ; 5 =+10G9 ! 10C M 4 = =
*/ *@(0(0@
;
*A = =A ?1 / 7 (@R55G5C) )?> =A115 =?1 (
I J>. R1 H07+
;
BB0 O55
F& 1 *"*>!5 8
;
=?1 4?19C0(0 ( ?1 J = <10 ) * =*59' C ( O ;
= > "R> ; > ?1 ). =C+, * =*59H1AR
;
*A 'G1 C I *1 *A8 A979?10*
)
; +5C59B > E =59 * (0*97( O+?19 # ;
4 8
;
=?1 *B9@1J1 =)?> '719 =
0G> 9041 *> 9 *( 0G> (/ (9B1 )
; +585*9B > I 'G(
;
10JB - =
;
1 ; C1'G5C A 5 = =(9 * =*59 *( '71AO* = =C)?50A0'1( 5C B 99 1 =
+ ?1 @ = > ; 5 =+10GC ! G| ( *( | 01 C@ = C -10 R<+9 )H1 B1 =
=(J 5
;
9A) = + G>!?119 i %.BQ %7 1- = 5R5O 8
|'/
|i % | BQ | % 2(
$ ?;&'2(N-&* 1 /NG8(+'L2*0/25 <(.-I(N-&* /)COF <RE <(HG '>E 5LXF0*8(7'<;(N13')LVE&B&* /MB&* 1K(7/2<; '^13L2*21<;0R /)C!';&RT(.-&* <;&L^<B&*&6`4-&* ; '; 5G
*( / 0*1 9H = C1'G59 #(G =J5RR5**( =?1 / 7 t
n
*( = S S+> 9
t
n Q Q Q Q
% Q Q Q
Q Q Q Q
Q Q Q Q
(KPKS7
t
n Q Q Q Q
Q Q Q Q
% Q Q Q
Q Q Q Q
(K$PKS?O
t
n Q Q Q Q
Q Q Q Q
Q Q Q Q
% Q Q Q
" (K$PKS
;
10 R0 = A C ?1 55 HC C O ;
9| J = 019 = 7 B = A = / 7 1
(K$PKS (40190 ?1 G5 &5O # R I 115 =?1J( 5
n
*(4'71 O* =
>@ =1@?1:9
;
'R > =99.FD552BCO5 ?>@>
;
H1 85JO@9?>!
;
0! =1A =J> ="
/ (9+*1 ?1J2?1 -> =" 5> 19 A1J =-55 'G9 ( ( O5R*< R1 O 0- ?>@O10
115 =?1 ?1 (R9+99I @> ="
= R555> *1 C(@#"/ ?1 $
979?10* - = (R9 t
n n F 1 > "J*5> 1 1 =
;
58) % % O5<(RK =
81'759 81'759 1156(1 O #" (9+0J1A1> 57(0(0 )C?1 i tn n
1 = #
= / 7 (K$PKSN10 =>@ =1 ?109
;
'R 01 9?>!59 5'O / 1H
;
1 1 O59
G1 5B8)J?19 =O ;
=?1 ) &&>A5 G11 970G1' =-1
;
>@O.*)9 =59 ?%39 0
0?1 1;)9(?$PK&%@10 (?$PK"(8
I A0G>!C =G1 (K$PK% !855 1
; %=%IE9 = 1#" >!7 1
;
CB =?1
C 10 5 =J)/ =h *
;
1>AO' ; ;
85J010? I AB
;
- 00G(9+0 O* 1 =1'
= Fh
1C9 )
y
I H)G555 H07(9 =5 )(?> =41> R5701' *). ?1A10
115 =?1 )/ 1 ;?J(K$PK"(?NI 1@G1 1D (0J / =*5 O* (?
; 1'@ = 8h
"
/50
y
* =59 (9#?10 h u h u
"2"2"
u h y
*O =/*AO
;
2" 0C.#??51' )@h 50 =
; C?19
h h
"
(KPKL
h h
"
i h (K$PKLGO
h h
"
i h i h (K$PKLR
h
h
"
Ti
kn
h n " (K$PKL0
F&
;
>@1' = h
"
R5 ; 5 0 OC)(10 G1 B * O* C 5
;
=1'
O# > 1 ) =
01 =G1NI (9
; 5 1 =(*5 019*h
&I (CB =9 =G1#h
1
;
+0 1 = +9?10A$
;
?1
#" =/9 ld )h 10 + ?1R !N1(R55(*h 0190 ?1 ) ; 55 > 1?C * 5 &5O
@
9(.1 G15J)7
y
* =5C
;
@ A ;
*1 <15 = 9 =?1J)1h ?14 =J
;
O# 4)
y
* =5C 09 >A1@R55G > =" *5> 1 1(KPK"(C H ACB+*1 =5?> )& =41 =?1
1 +9?10
;
1 =9 ?1 (K$P?"( = (0C = 1 ;
/5K'1/59 ?1J)H =-9 =?1 *)
)D = &&>A5 G11 ?1
1 ;
>AO.) =59 R1
1 ;
>@O*.)9* =59 #E1 ;?
(K$PKLR0 G50 )1? 1 ;
>@O*) * =5C 10 819#h 1CCD) y
?1 ?O 1 ;?#(?$PK&%(
1'759 =1' =, (B 01 =?1 *).?1C('198 J OC?10 = B@*)N =, (9+*1 D*
1 ?191 =G1 5E> 19+OR0 51'
;
'(Xh B 10* ). =
y * 5-0
;
O5 1 ( C ?1JI
;
O =/9 =?19 1 ;?:(KPKL 1
;
( = h ?19 R1 1 (0
;
O5 9?1 =O ;
=?19$( $R.?19 O ;
?1
(55 9 ?15 ?1 -5 *1
;
>@O.*) * =59B H8
; 50 O >.8C0 = =A)7> 58>
OJ0R9A1 ($
; (@ = JC>.5
)*>A?1A7 O+G1 5>A #"B 9+ ADB8O5 *
)?> 1? 7/@)&*5> 1 *,* =59
;
1 0-O* +G> / 7 (
,A7(9 (? = )7> 58> (9+*1 0 1 = +C ?1 0R9@1 010 ?1 5 h
"
?O 190KB
0RC 1 @> 1 9 = ; O =( (1> 5 1' (R0
;
(A7 '7(
;
C5J#" C @> 9 =R0
;
+0J 4?O 19h
"
5 B - 2##!!3C!
&N( )R
; 50 ?1 )> 5.9 ) -
;
O ( &%=#%@'1/5 1' (C
; 5
?O 10 (8 ;
C5 )7NQ* * =5 ( =95&% +RP.10 ) 7:%C* =5D ( =9 &%+2(HI A)
;
(
= = &NR>@5 ?11 J) 1 /1' ?1 = 5 J#"5G 0K I 1 = ;)9 (K$PKL 1 O
C 5
;
90 ?1.1 ;
O9B > 5
;
B ?(K+9 O*5 CH#7 556(K =@ => R01 >@554(*5C 19 > ="
5> 19 )N ( Mh *( ?O9 B104 557O C5 1J1 = )?55 1'+ /'G/9
I3 (R90A)
;
=*N01 =?19 *(J100KF
). =@ > R01 >@ >
;
O+C *).C 9 ). =A *> 10J =* 51<1' O?10* ?1A01 9 1 ( 4 C
?15 G1H &5O )
)
01 9& = 8 9)E =H R5C9B > *( 1 D15
;
00
1
(. = (9 9 0 / 7 -5) 0 1
;
/55- 1 )/ 1 = 5A&5O 9
O*
" (?$PK")
MN = 1 CO5 J01 J(CB =9 0 ( )(?> 1@*O =/* ( 9 =1'
?1 81 55G1 '1*/51 9 =, (R0
;
9 B =
;
C
;
( (K$PK)C
I *5
;
* 10 *(A+0 )7>
% =#40 1 9
1? C 1 ?>@> G1 Q
=( 1 OG10 51<1' 8 9 )(?> C C )(?>
@ = B = *5
;
* 10 ( +0A 9?1
;
R'9 =
D!1
0GB?119 0 5
;
1 / 7 H550
% D1JO 0?>.+0
!
#"
u
!$
" " (?$PK"=
=A =9B 0#1 =?19 C5 1A = Fh
"
10 h
*(@5
;
&00G =R
;
1h
"
1 &% I
1 =* >!7 1 (+G1 19 =(R0
;
=9h
I 5
;
300G 7 )Vh
"
?OC ; 819 10' *(
; > 0 -O 07+9?119 0KN#? =
1JO # 0J ?9CR55J10/*10*1 > 99&N*1
h
~h! " u ! h " " (?$PK"+
#E>@5*5?( = / 7 h
!
R10#h "
*(H090
;
90 )(?> (?$PKL * 9 N?1 !
10 " (7(9#9 =5C
I 14 =/'G9 )*(0 *) D =@(
h jh!
" u ! h "
(K$P?"'
) ; 555 = (
;
C?1 (?$PKL )& =4*/ 0190 )7& = *5
;
*
+&N1 =4/ 7Kh
"
10 h *( 1090 5
;
B N00G R
. 1
;
9 = + Eh
"
5
;
G007 =(9?1 =/* 8 3?1H>A'7 & 9 =
;
'G 8
L*9
; ?180* @ 19 =4019 7
h
" ~h !
"
#"
u ! h "
"
" (K$PK%Q
I $
;
=?1 11 O =
; 81 ?1 = 58) 10 C0 = 1 ;
>@O)A =59H2"0
y 5
G1 '7 10 80 = 1 ;
>AO) * =*59 D =J019 9 !
10 "
*( 504 1
2"0K #? 1 *5
;
*&007 = 7 'G1 ) 7 =>h
"
*
I )9 = -5
;
B A007 = = ?50 G15 )D * ; 5 ;
1 = =9 1 0 (C ;
C5 )
y % &%+(D2
y P( = ;
O9 ( C ?1! (0
;
( /50 1 5 ; 5 =?1D1D;C)B.%9S7P
;
'7 1 '71A1 09 R5C1;C)9 &%=)( %==( %+#%( %+*SE = ;
O =/9 =?19 199B+* JGO 1 =
(0
;
O5 P* =5 1 ( C ?1 ( '7*1 1@> ( 09 5NI '*1/5C)> R5C> (9B1 0J1 =
=5HC G1 =
5C5# ;
;
O9 =/9 =?1 *( 19=* 10 (H = ?> H)(?>
I (O*(" BB8O5 #" 10 = > 19 D 4 =A'1(R5
y * =*5 (90
;
*O5@1 /9 =G1
I 1 =?1 1 > )B?10B
;
19 =?1 (KPK"( (10. = 5
;
B " 00G = 7 5> B & =5
I + C1 =J( =?1 10 115 =?1 ( *( 010 5R55A) 7.49 1 8 R,
;
10B R0H = = =C CN*H1 ?%99 0KA&N1 ==> >@O?5 t
n
1HO
;
+90 10/101
*). 5
;
B 1B A = C | >@O90090K81+ * = ; 5*(?1J0*1 =?9 ;
?> =R55 t
n =
t
!
n " )=| 103 = ! t
"
n )=| &N1 5
;
B 00G = 7 (90
;
90 =5
> 19 )& =4<10J
h!
k
np ! dp n t
p n (K$PK%%
h " k
n
p " d pn
t
p n (?$PK&%%*O
>!59
h k
n
p dp n t
p n (K$PK%PR
k
n
p ! d pn
t
p n u k
n
p " dp n t
p n (?$PK&%P7O
h ! " u ! h "
" (?$PK&%P
1 =-B1B( 1 B =?1 1 +9?10 ;
R19 = =?1 = > B 1
;
/5 # =1< )@5
;
B
00G = 7C
2G555 1' !&5)10 10 < <+ &%=L( %+P ( %+2(NG1 9?15
;
0C = 5
;
B .00G =!
;
19
= =CD+9@ 5
;
B *" 19C?1R&N194R55 =-0
;
O5 > =" 5> 19 #d
pn
BB9B@45
;
B
*" 19C?1A10J1JO ?>. 90J?1 1 5 B 9
