On the inverse of parabolic boundary value problems for large times

 ! ! " # $#
$ " # #
%$ # $ "$ $#&
! '" "$ ( )! '! $! $# ' # )$ ( " ( $# # (* # * &
" + , $ "
# # - "! $ $
'" "$ $ &
$ " #
" ! ( . # $ $
" #
!
" #
$ %
& !
" !
/ 0 1! 2332
2333 %#$/ 41135 $/ 4167! 41893! 418:1!
41011! 41073! 4161! 1;042
% $ " #! !
&# $#! ! 8 "< &
! $ ! ( $ = > # !
!
$' ' ( ) * + ) , $ %
!
!
-
!
#
.( ( !
( !
, /
#
) 0 -%
-
0
-!
' (' ( * + & & 1 ( 2 ' 1
& ( 1 & (
3
( 1 4 5' 4' (' 1 4 ( (
& ' ' $
6 & ( 6 5 & 1 ' 7
4 & & 5 ( 7 8 & / 9:
;< =
>' , ;%<' $( ? ;<' @( ;!%<' ;#%< ( 8 2 ;-<' A ;
-<'
0 ? ;#< & 1 = 2B (> 1 ( +CD/ .(' E(' F( ;<8 ( 4
= ( > / &D ? ;-' -<' 2 2? ;!<' 2 ;!#<' )D/ ;<
? ;' -%< ( 1 ( 1 7 @B ;-<8 &D ' 1 4 2 &D & 4 4'
' (' AD ;
<' ;-#' -<' A ;
#<' ;#%<8 &D A D ;
<' A ;
!' <' ) ;-< 5 9&' &
( ' & &D & ) ;' !< 1 * ( 4
5 & & 5
' ' ( ' ' & & ' & ' & ( / 5 G )B 1 & * ' 0 ? ;#<
2B
* ' @ ? ;< & 1 &
5 &( & ( +CD/ & .( D ;<' $/B H ;< ( 1
* & 5 &( * G
( 5
( = .( F( ;
<' 2?B )D/
;!-<' )? ;<> ( 1 = !>
& &D 1 8 ( (
4 & 1 2 '
& & 3 & 3 %' & &
' ? ;' -%<8 &' & &
Æ . ( &D' & 5 ( ( 4 + ( ' ' & 5 &( 3
6 ' & * ' ' ' & (?
;< & 8 & 1 F'
(' & & (
=(? > 1
' 4 & 4 =5
' 4' ' 5 ( >
( 4 & ' 4 4 ( ( F
6 & 2B ( & * D 6 & + D 1 * 8 5 ;<
G I * & 2B ' ' ' 5 & 2B ( D & & ( &D
! & ( * 5' 4 5 &(
' 5 ( ( => 1 ( 6 ( ( 3 %
=& ( > - & ( * &( &
' & # ( 7' ' & (
4 & ( * (( ' (
( = ? ;-' -<>
( 4 ( 5' ' '
& 1 &
1 ( ( (
4
( ( ' & ( 5 ( + *( & 5 = ;--<>
5 ( ) +G ?
J ) / G ( & * (
. ' (' ? ? ;#<' @ ;<8 & )
;' !< ( &D'
*5 K3 = L L > ' &
$ F 5 % 7 = >
K
& &( 4 *
L L 2' 5 3 = >
=>
K3 L ' &
( 5 !"# $%&' C M ' M & '
M8 ' M '
4 N 9 & & (
C N ' 0 & ( (
K = >
=>' ' ' 3 ' & 3 N
= >
* =
N K3
M8 >
=
=
N M
N
= >>8
= > ( N K3
M8 >
=
N
M8 >8
K
= > %5 ' ' % ( N
*' == M> % = >>
=>
& ( ( 0 K =
( ( ' M>
N > =>
= %
' = >
=
M>
%
%
= > 3 N = > !"# $%&'
* N > K3 = 8 =
&
K3
8
=>
%
K3
8 0=>
!
N>
8 Æ
=
= = >>>
N
G & =
>
=>
& & ' ( & ( OP F N> N >
( = 8 = 8 (
. ' N
M8 >
* F (' =
. 7Q
( &
$% (' 0 * 5 => K
C = >
2' 4 = N . M8 >
5 ' & =
K3 5 = N
M8 >
N M8 >
4
M8 >'
N & & =
A 4 => ' 5 ' (K 2 ' & &D ( ( = > K3
= >
= >' &
%5 ' = >
( D & ' Æ F' ' & ( = > K3
1 =>
= > K3
= > = > ( =7> D
= > = ! > " "R!
& => & Æ =>
#S
$ =%>
3 %' = >
= >
=>
& ( &D @ ;<'
? ? ;#<
( ' ' (' 2D ;!<
!
) $%&' 7 ! % % = > K3 = L &! > % K =
N>
8 5 % '
'
% K =
% N>
8 =
N >
8 ' =
N >
8 . ( 4 2
' &(K
% K 7 ! % N
% 8 %5 % N =
C % 8 N
% = >>
( ( (
=
= &' ' &' 4
=
N >
8 > 5
( & %
N>
8 =
N
% 8 % N>
8 3 %
( 5 ' % ( 4
!
) " * %'
& & (
=( >
=
N > 3 = = 8 8 N >>
& ' ' (
=( > (
= > 3 % &
=( >
3 )=> (
' L 3 F
& => (
5 *=( >
T*
=
*T
( ! & N >' 8
' T
=
T
N >
8
K3 =( L&>
F& & F
( *8 5 & = >
" 5 & ( 1 =>=> => =( > T =( > 3
'
' C? =( > ( =( L + > =( L , > ", "R+
S
$
& ? & & & (
= > & 7 ' ' G 2 ;-< ' & & D ? =' (' ;-<> & ? 1 A ;
-<' 0 ? ;#<' ;<
5 2B (
* #&" ) )* ' C >
=
= > =->
' & & = > Æ = >
= >
= > & 2' & K
Æ
Æ
= > K3 = >' & & 4 (
D
-
Æ
Æ = > 3
(
Æ
>'
Æ = >
Æ
Æ = > 4 =
Æ K Æ = >
Æ
>
=
Æ
"
5 9 4 %
Æ
=
>
= >
% ( 5 $( Æ
5 = > Æ
. =
> 5 ( 4 (
>
Æ ' & * Æ
Æ
Æ
= > 3 = > = > 3 Æ =
>
= >' & & 4 ( = >
C = > K3 3
Æ
Æ
/
Æ
= >' = > = > Æ
2'
Æ
& = > K3 = > 3 Æ = >
Æ = >
Æ
=
G 5 ? *
K Æ = >
& 7
Æ
=
>
Æ
* Æ
>
=
D
& ( Æ = >' & & ' &* Æ =
>
= > ( = > & /
(
( 7 - * Æ
= Æ
>' Æ 3 % & & = ->=( > 3 -=( >
=
>
( ( ( =
>' Æ = > Æ
% $%&'
* +',' C M ' M . ==( ( > = > >
=
M> 3 = =
& M ==( ( > = > >
= M = M>>
>>
& = > & &
( 3 %' ' =( > ( $ =( % %
%> 3 $
=( % % L %>
=
>
G & = M>
= > =>
& * &K
M8
=
> K3 = M> = >
=
M8 >
8 > K3 = 8 >
=
8 >
=
" ##
.( ( ( => 2' => ' ' ( ( => & &( K
& '
D( '
5' ' & => => '
C?'
/ ( 8 F D 1 &
=> ' & & =( > &
* =
> =( >
" #$
>
=
M8
' * T*
C * *T
&' => &
=> => * +'-' G =( > =
M8
> & => 3 => ' & &*
= >
= > G => 3 ===( ( > = > >>
K
= & =( > )% +'.' % = =
>
= >
M
> & => ( = >' ' >
M8
=> K = > = > Æ => K = > = > Æ ) ' => ( K = M8 > Æ
Æ
Æ
Æ
=
= = M8 Æ = Æ
M8 >>
= >>
> Æ = Æ
Æ
> =
=
8
Æ
* ! K = 8 > Æ
Æ
8 = = > > >>
= >>
Æ
Æ
= Æ
Æ
+ , #- .( , * = M8 > (
=> 3 = >
==( ( > = > > 3 ==( ( > = > >
/ ' ( ( ' => ,( 0 # =>
' =
> # " #1 & ' & M8 > K3 = M8 >
= 8 > K3 = 8 >
=
' ( ) "" * &"#$ $%&'
+ #2
G K3 & ( =
=
=
=
> 8 Æ = > Æ
M8 = > Æ
8 = > M8 Æ = >>
Æ
= >>
Æ
= >>
Æ
= >>
Æ
= Æ
Æ
Æ
Æ
* +'/' > . ! 3 ? 0
=
=
= > 3 /
Æ
=
Æ
Æ
M8
= >
8
= >
M8
= >
=
= = >>
Æ = > =
= >>
>
>
= > 3 Æ
Æ
>
=
= >> * Æ
M8 > =
Æ
= >>
& ( =
> G D
( &
. ( => A 0 0 3
=> A 0 0
"
= =
"
0 & (
#
? F > = >>
8 Æ = > = >>
! 3 " 0 3
G & ( => A "
& ( 7Q
M8 Æ = 0 & ( => A 0 ! ? ?
> .
=
=
M8
8
=
>
> >
= >
=
= . => =
=
#
>
>
"
Æ
= & =>
> >
8 Æ = > >
M8 ? '
3
( "
' & & => "
& ( 7Q
> .
! & => =
M8
8
=
>>
=
=
>>
3
?
=
"
! =
>
>
=> 7Q
(
/ G => >
"
! & "
Æ = M8
Æ
= 8
>
Æ
=> L 0
=
>
> = ' 3
> Æ
Æ = >
=
!>
&K
=> & = =
>
>
M8
8
4 F
4
( => A 0 "
=> => => 1 =
=
M8
8
"
>
>
G & => "
& ( 7Q
1 4 ? & ,
3 (?(' F 1 ( ' =
>
5 #6
K
= >
-=( >
-=%>
( 2'
& * * = >
% & 3 -
= >
= >=-> K3
= >=-> K3 9
= >
= L &> =
&
" #-7
"
-=( > "( -=( > "( & = > 3
% & (
( 4
% = = > >>' = > 3 = >
'
=
>
&
= = L &>
8 = > >
= 8
= >
>
& 3 L
C => 7 E* & & &
3
%
%
'
& => # ?
J( & &
' 5 & => *5 "
+ #--
> 7 1
2
K
= 2
>
=( >
& $5 & 2
1 L 1 L = >=%>
( > 7 K3 5 % O P +',+' % 0 ! 3 " & 0 0 3
2 L 0
=
>
! # ' ,
! 3 0 & 0 ' = 0 > 0 #8 ( % ! " & 3
2 L =
->
! 4 # ' ! & ' =
> #1
=
> =
-> & ( 0
D
)% +',0' %
3
=> L 0
3
= >L0
! " " & ,( #$ (
! L " 3 5 L " " ' =T > L 0N N 3
N
N
' 4 %, ,
( ( + 9: ; &D ( 2B U 4 7 1 T
& 9 & / & ( 7 =
>' & N N '
N ' ' N 1 .
V
( ) & & 0
N 3
2 L 0
N N 3
V 2 L N =
> =
->' F& 0
N N V '
' ) & 0
N ' V N ' ,4' 0
N N ' *
)% +',-' %
3
=> L 0
3
= >L0
! " " & %, T ! L " 3 5 L " " ) ' (
N
=T > L 0
N T 3
N
N
' 4 T %, ,
4 ( ( & T S
$
! & ( => 1
& = ;<>K G 5
T =( > 3
=( L + > =( L , > ", "R+
C? = > ' (
( ( => ,& & )% +',.' % % & < =( > 3
=( L , L + > ", "R+
)(' ,
< 4 & =( >
S
$ "" ) )* '
* +',1' C = 8 M> !
=> 3 = >=>' M' => =( > = 8 >
"
C
( (
= 8 M> ?( => F & OP / '
/ ' 3 ' 3 $
=>
=> 3
= 8 M> 4 => L 5=>
6=>
% =>
=>
= K
= = >
= >
>
=
#>
>
5=>' 6 => % => => =>
( A ' ' => 7Q
( * +',2' G => =
3
& &( => L 0
K
7 & ( 7! =
>=( > 3 =( >
1 8 M> & % G 7! =
> 4 =>' & =( >
=
>
M' = > 3
=>
G =( > K3 ==( %> > & N 3
= > L 0
& =
>
9 ( &*' & 7" =
7" =
> >=( > K3 N =( >
=>
=
>
!
F 4 =>
=7! =
> 7"
=
>> =>' (
=> =7! = > 7" = >> => => "
)% +',/' 5( => =
= => K
= >
>
8 M>
#2 >
= = =
%>
>
" )(' = 8 M> ,(
! ( #-7
& #2 ,
; &
= 8 M>
= 8 M>
= 8 M>
" 3 5 L" "
4 ,
(( 4 '
(( & < . , ,
=
K
8 M>
=
8 M>
% / ' 4 < < 4 '
< < + ! ( > & ( 1
& ( =
;-<> ( & * OP ( =
> =' (' ? ;-<>
> 4 + #-6
C K
!' & > & - - 3
' - 3
# #
G OP - & -
3
%
%
-
"
& &* => =
>
* +'+3' C => =
=> =8 > 8 M>
2' 8
=> 3 => => & 8 5 =>
& (? 7Q
" ##-
C 8 9
9 OP
=>' & :
,
& ,
-
G =9
: 3
% $
( %
% $
% >
9 1
( %
9
( 3 % ' : 3
* 9
(
' K 8
1 8
: 9
$
$
( % ( 3 % '
' & =9 ( %>
=9 ( 3 %>
& & D 4' & 4 - 3 4= -> '
4 4 =8 ( %>
=8 ( %>
4K
=8 ( 3 %>
=8 ( 3 %>
4K
=9
( 3 % >
" & 8 9 1 ( (
)% +'++' = " ##- ( >
& , ( ! "
9 ! " 8 % 8 ( 3 % ? K 8 ( 3
3 ( 3 % &
% 9 ( 3 % 4 , = >=> (
>=( > 3 7 =>==(> ;$=(> < >
!
< >
7
= >=( > 3 7
=>= =( > ;$ =( >
7! =
"
"
=
>
' ! ; ' (,
; $ # &$ ) )* '
* +'+0' C => = 8 M> "
G =>
&( *K
( 1 7! =
=
>
& 7! =
>=( >
5 "
>=( > K
' 3 / >
= M' = >
>=( > 3 )=> ( =
= >
8 >
>
. >=( > M' = > 3 %' 3 )=> (
=( >
7" =
( >=( > 7" =
=
L 3 = ' & /
7" =
=( >
,
8 >
>
= 3 %' & ' L "
3 => +'+-' 3 = > L
0 " ' '
==( %> > ( ( ' ; ##'
0 =( > # '
'
=( > # '
= , >
& ( * ==( %> > 3 ==( %> > ( % 3 = > M' ( *==( %> > 3 )=> ( '
L 3 & " =( > = =( > K
>
'
=( >
>
= ' (
(
3 )=>
(
' L 3 & ( " => ) ' (
=( >
M
3
= > 3 %
=* > L
N
0
N N
N
( '
0
N =( > # '
N '
N =( > # '
N )(' ! ' ' '
0 '
' ' , ' ! ( ' ' & *
' / 2B ( = A ;
-<' ? ;-<' ;<>
( ' 7 N ' N 2' ( 9 & /
' & *
& 0
N3
0
N N3
N =>
' ' 0
N N ( F 0
N N F& ) = > 0
N3
N 2 L0 N3
N 2 L
=
>
N ' 4 ( A
& 4 0 ?' 4 1 N ' 4
? 7 ('
N '0 '
& N
$( $5 & & ' ( =
>' & ( OÆP
=> ' & * )% +'+.' % => , ! " & (>
=> , & ! * " => * * ! & => = 8 M>' " => ' =
8 M>
= 8 M>
= 8 M>
=>
=>
=>
=>
" 3 5 L " "
" 3 5 L " "
F * & & > C?
& ! 9 4 > > K
> > & !' & > > 4 F ( & 5 & => *5 > > & ( 9 & > >K C *=( > 3 7! = >=( >
' * =( > 3 * .( ) ! =>
=> 7" =
F& & * * &K
>
3
=> ' &
"
N
=* > L 0
N
N
N
= M> G K3 ( %5 * K3
* =( > K3 = >*=( >' N N
=* > L 0
N
N
& N=( L &>
N
=(
L &>
=*=( L &>> L 0
N=( L &>
N=( L &>
* =( > K3
* => "
=> '
& * 4 & ,4' *
=> * ' & ' ' &
( (? * ' ( D & &
( &D
' ; ; 3 <
& = 3 ; ' = 3 <
G ; K3 ;
5 ; /
?
= C > / ' ' ? 5 = 3
3 F & ? G ;
& ;' & ( ;
; 8 & ; & ; ; 0
; ; / @
K ;
;'
( & D 1 & ( 7 ' & *5 0 ; = ' &
9 ' > ' ?
? ' 9 . . & = W 8 >' ' & W
K W
& D K
= W 8 > ; ' 8
;
W ; W=
= W 8 > 8 1 G ( &
' 8
!
3
' ' W ' & & & W' W = * (( # - & -' &
%
-3
3
%
=& >
=& > -
-
D - 3
#
-
& & : : 3
$ $
&
:
; : = 9 D & & =;> & & - 3 # &* & 7 -
#
; - = -' &
- 3
-
& -
3
%
%
&
-
-
0 & * * ( ; ' ( 5 ,4' * ' & ( ( &! %*# 4) &"#$' 7 =; >
-
=
; > & =->
=; > =
; >
G K
; ' & 4 =
; >
=; > & D =; > 3 =
; >' & & 4 (
=
; > ( =; >' 5 K =; >
=
; >
=
; >' ' 4 %
=; >
=;
>
% ( 5 . =; > 5 4 ( =; >
=; >
* =; > 3
=; > =; > 3 =; >
=; > 3 =
; >
/
=; >
=; > =; >
=; > 3
7 & 5 ? * ;
; 9 D =; >
=
; > C & =; > 3
=; >' &* =; >
=
; >
' & & 7
"" # $%& ""'
+ $-
G K3 ' & * ; & = & & * & 0 ; 2' & & 3
-3
# #
-
%
%
( * ;' - * = G * =; >
== ?
=> K
( >
=; > >
=>
== ? >
M 7 & & * 0'+'
=; 8 M>
=>
& ( =&> ( & D '
( ( =; 8 M>
M
&' => K
=; >
== ? >
=; > >
== ? >
' & ( =; 8
7 "
=; 8 M> 3 =; 8 >
=; >
M
== ? >
=; > > * > & * => ( "
=; 8 M> =>
=; 8 M> => 3
"
=> &
" =>
( 7Q
== ? >
=; >
M8
== ? >
=; > >
=; 8 M>
G
== ? >
' & & ( =&
? >
7 "
=; 8 M> => &( K
> 7 A
=; 8 M>
=;> ( / & 4 =>A
>
=; > = W 8 > & =>A = 8 M>
7 A =; > = W 8 > & > 7 A
=>A
3
=>=> L 0=>
=>
=>
=>
& => 1 ' 0=>' =>'
=> => ( &
( D ( M' M 3
G & & / ( & (
>+>
! =; 8 M>
G "
* 0'0' G => =; 8 M> & &(
= C @ K =% ; M> % ;
4 ( 7! =
/
> K =% ;
' & 7! =
>K
=> &* =>
M>
%
9=@ @ > >
>= > 3 7! =
=
>
>= > % 7 1 => ( M 3
> K =% = M> % 9
7" =
= >
= >
@ &
@ > &
@ ?
@ ?
=>
" ' & @ K =% = M> % = / G
= > = > ( = >
=> ( 7" =
>=
> 3 %
%
% & (
>=
7" =
>
%
=
> 7 M 3
> 7" =
>> ' => (
=>
=7! =
%
=> "
)% 0'-' 5( => =; >
=> K
$- =; 8 M>
== ? >
=; > >
=!>
== ? >
" ' ,( ! .( & $- ( ,
=; 8 M> =; 8 M> =; 8 M>' " 3 5 L
" " + ; * => =; 8 M> => =; 8 M> >
7!
=
> 3 7!
=
>7!
= >
7"
=
> 3 7"
=
>7"
= >
& < ., (
K =; 8 M> =; 8 M> % * => =; 8 M> <
( 7! =
> 3 7! =
> 7" =
> 3 7" =
> + ! ( ( > & ( 7 > * (?( & ' (
' & & > E* ,4' & K & &
& ' &
& ( =>
1 E* > (?( 9 ' &
' ( " $8
"
( => *5 & D( 5K
!
A
=>
=; 8 M> =>
=>
,'
& * =>
=>' '
=>
/
=; 8 M> #
=; 8 M>
=> 4 (?( =>
"
=> ' =>
*5 & => 3
= >
= > => & ( ( =7> D 1 =>
$5 &$5 # 6& %'
* 0'1' > . => =; 8 M>' & " ' , 1
=
> => & /
> . =>
=; 8
>'
& "
=> ' ' ' = > > )% 0'2' % => =; 8
>
' " & (>
=> , & => =; 8 M>' " => ' => => =; 8 M> =>=> =; 8 M>' " 3 5L" "
" 3 5 L " "
5( => => 5 =>
,' > > & =; 8 M>
C > >K J( ( ; & ( => = >' & (?( 5 = > => E* ' & => 2 ' ( => ? J(
"
=> & 5 = > & => 5 )( (
& * 5
=> )% 0'/' % => ' " ' , ,
& # % Æ => (' ,
$-' ,
( .( $@ Æ ) ' M => ( M' 8 M => =; 8 M>' " => ' => 3 =>
B 8 % = > =; 8 >' " ' )(' = >
$-' .( $@ Æ & ( => 3
=> =; 8 > " => C >K .( # & * 5
=; 8 M>
=>
=>
=>
#
3 L => => => 3
L ' => 7 ' => => ( M' & L ' => L => %
=>' Æ ( 9 C & *
M => =M> 5 /
=> & ( ( 8 F&
=> '=> => L '=>=>=>
=> => => L ' =>=>=>
' => K3
=> K3
=>
=>
7 *( ( (?( &
' => 3
=> 3
' => => 3
=> ( =; 8 M>' "
=
> ' => 2' ( &
=>
B 8 ' ' & ' => > *
=> 3
=> > & ( & 5 0'7' ( ( 3 > ?
3
% " => =; 8 M> L " => ( $-' $@ Æ & ( ( =L " =>> 3
L " => " => =; 8 M>
4 ?
= L
"
=>>
3
"
=> L
"
=>= L
"
=>>
"
=>
!
( ( * + ; > ;
' & ; ( 1 =>-= > 3
& = >
$
$
= >
= -3
=; 8
"R!
= ! >-= > "
>>' ' & OÆP
D % ,' =>
&* =; >>
=> K
= == ?
= >>
= =; > >>
= == ? >>
=!>
" & &
(
=> 3 (
=% ( >
K =; > == ?
>
=; > > == ? >
=!
>
= % ( = > 3 = &2>
>>
=; 8
G = > & &( K
2
>
%' &
4 ( 7! => K
% ;
%
9=@ @ > >
( 7! =>= > 3 7! =>= > %
>
7" => K
&* % = % 9
"
= >
@ &
%
% & (
@ ?
%
7" =>= >
=
>
= >
( 7" =>= > 3 @ > &
@ ?
%
%
>
4A 7!
) => K
%
% ;
%
* & 9=@ @ > >
1 & = > ' (
7!
) =>=
>
> 3 7!
) =>= > %
A 7"
) => K
= >@ & % % = % 9
"
@ ?
> 3 %
% & (
>
* & %
7"
) =>= >
@ > &
@ ?
( 7"
) =>=
= >
%
%
=
>
* ( = > & ( %
7) =>= > K
"
%
&* =; >
=; > >
== ? >
== ? >
( 7) =>= > 3 7) =>= > " 7! =7) =>> 3 7!
) => 7" =7) =>> 3 7"
) =>' & & 1+5 +5 * %
7"
) =>=
%
7"
%
%
& 7!
) =>=
%
>
>' ' ( & % 2' & 7! =>= >
=>= >
7"
) =>=%
>
7!
) =>=%
>
' & 1 ( * ;
+ @-
&
!
L
< ' O5P
)
C X
= = > "
= > = >>'
!
= > D % D( % 1 % ; & ; 8
%' & 8
)
=
>
(
% & %
"
% =
"
D(
"
!
>8
=; 8
!
)
)
"
7! = > 3 7) = > 7" = > 3 7) = > = >8
D( & &
)% -'+' & %
= > D % = =; 8
>>
= =; 8
>>
* * * X
%
,' = >
& ' & & 1 2B !
)
C = "
>
X
( 7 4 2B ( 5 = ( ' !>' & * * N= >
= =; 8
>>
=>'
!
& 7! =N
> 3 7" =N
> 3 "
G %5
' % % 3 %' & & *
#
= =; 8
= > >>
!
"
)
& =7! => 7" => 7) =>> 3 = >' = > K3 N= >
= > 7) =N
>= >
)
* -'0' G * 5 &( &K C C ' 9
C 7 ( =
=
C 9 > K3
=C > 5 = . =C 9 >>
. = =C 9 >> L = . =C 9 >>
. = =C 9 >>
C 9 > K3 ( =
C 9 > 2
%
%
2' & * &( *
& ( =
; > K3 ( =
=
;> >' ' ( ( & ; =; >
( C 9 > =; >
; >' > )% -'-' * ( 2 % => K
( ( =
; >
=
= ? >
=>
@-
( ( ( ( =
; > >
=
= ? >
=!>
" )(' ( => K
( =; >
; >
=; >
= ? >
=; >
; > >
=; >
= ? >
( => =!> 2
=!!>
3 % & ( 2B ( 2
% & =!
>
,' => =!!> 0 & )+G ? 7 ( ; > =' ('
$D ;-<' 0 ? ;#<>8 & & = >
)% -'.' % = = =; 8 >>
( ( ; ' @$ 2 % ( =>Æ = > 3 =T > %, T = > 3
=; 8
= L ! > = L
>>
> " "R!
S
$
& >
T
S
$
= =; 8
>>
/ ' " 3 5 L " " / ' (
7!
7"
> 3 7"
=T >= > 3 7!
=T
>= =>= >7!
=>= = >= >
= >= >
>7"
7) =T >= > 3 7) =>= >7) = >= >
( 1 =!> 2 3 % ( =T >' (
C? 7 T
' 5
( 2
=!
> Æ
=> = > 3 (
3
(
=% ( >
% & & 2 3 %
(
=% ( =T >>
(
(
(
=% ( >
3 =T >
&$ # ) " * ) !'
* -'1' . = =; 8 >>' " ' !
2 %' &( *K
> 1 7! =>= > 7" =>= > ;
L < = > 3 % = > 3 %
0 1 ' ' 1+5 ' +5 >
5 "
7) =>= =; >
&2 > K
== ? >
=; > >
=!>
== ? >
3 %
-'2' = > ; B; @1 &
2 %' ' B;,
@1 7 7 =7 =>> 7 =7 =>> > E*
= >
!
)
"
=; 8
)
!- & 7) =>= >
> E*
-' =!> 2
% Æ
( ( %
#
6 5 %
( % & )% -'/' * ! >>' " ' (>
= > 2 %
& = =; 8 >>' " = > ' = &2 >T = > 3 = >T= &2 > 3 ' ' %
%,
( / ' => ( @$' @@
2 2 ' ( ( => 3 = > = % =; 8
(
(
(
7 = &2 > & &( % = > & &( 2 ' & 4 > > 2 3 %
C * > &
! = > & = >' 4 = > F5 = > & &( %
=7! =>
7" =>
X
& "
7) =>
=
> 6 ' ' 5 5 7
=
> * =; 8
>> ( ' ! & T 3 # 3 ' & "
& = " 3 5 L
" "
=; 8
T 3 3 5
>> L " "
9 & = =; 8
=
>>' & "
' 5 >T= L > 3 = L >T=
=; 8
= !
& 5 = >
>>
> 3 G F ( & * ( 1 2B ; ' ' = >
#
= =; 8
>> /
& = =; 8 >> = L >T= > = =; 8 >>' 4 & (
=; 8 >>
( = & '
#
' = > = =; 8 >> / =; 8 >> = L >T= = >T= L > = =; 8 >>' & > = = =; 8 >>' & " ' 5 = =; 8 >> = >T= L > 3 = L >T= > 3 =
>T= L >
7 5 K3 => ' F D=
5>
= =; >>
= == ? >>
5 4 Æ / 5
5K.
=; >
== ? >
.
=; >
== ? >
=>
"
G & =5->= > 3
0= 0= >
% > >-= > " 0= =; >
&
== ? >
( ( . & => ' ' F =
5
5>
3
5
(
3 = >' 5=
= =; 8 5> 3
% ' 5=
' 5=
5>
5>
5>
>>' & =
5 &
5 ' 5=
5>
5 ' G( 5 3
L5L
=
D=
5 K
= =; >>
= =; >>
= == ? >>
= == ? >>
5 3 =V
> & V
= =; 8
5>
3
5>
5
>> ,4'
3 L 5 & 5 3 = > ' 4
> > => & & =!
> " @6
!!
J & / =!!> .' & 5 E* ! * ; >' ! ? ' ' 5 = > = > % ( T
$ / =!!> 2
T %
( $ 2 & =>
' =>
3 ( = > ( ' & &
1 4 & 5' 4' '
( ' D & 5 ( +
-= >
,
' & *
; = = >' ( 4 ( ,' 5 4 OP J ' 5 ( ( 2' = > ( ! ( ( 5 ( ' 4 Æ (
7 ' ( ( ( 1 &
5 ( ( ' * & ( =
3
> ( ! & ( ' 5 ( ( 6 4 3
& )+G ? & ' & D 3 1 3
& 3 % G 4 & &
3 %
4 3
4 = >
' 1 ' & 4 = > Æ D( 1 ; N 3
& & & 4 4
Æ 4 =
4 =
(>=
> '
(> 5 ( 3 % F 5 ( +
N=>
N
( =>
,
%' & 5
&( & & &( ( 6 5 &( 2
( ' & * 1 ( 5
' & 8
' &D ? ;' -%< & ( 5 7 ' & & !
' / (
!
& (( D( 2B ( &
2 F 2 1 ' & ( ? ;' -%< & @ ? ;<
* .',' . ) = > *
* D 3
=* E . >8 #
' & E
(' . * ' *
=; > ( *
5 *
8 0=> & 7 & )' & O/P D @ D K3
> ; & ?
* 8 #
.
8
0=>
7 & Y K3
* .'0' 7 D
.
) "
8 0=> 3 ' =; >
K3
D & & ( 8 =*>
+
1 =
*>
,
+
'
%,
. +
*
7 A,
=
*
L =>
& 1
.' 3 % E' * D( 7 '
& = L &! >
& D 7 =* E .>
3- =; > = > =; >> & &( K
=> 3
& * & Y ( ( G & ( Y & @ D
2
? = + 8#
=; > F & =; 8 Y >
=; >
=>
' & 7
. ' & A,
* & L ( = =Y >>
* 5 = >
A,
C
'
( @ D
! ) "
!
3
"
G * = > & D > K3 3- =; > =; 8 >
=; > 3 =; 8 .(' & * 3
3
- =; 8
-
=> 2 "
-
=
>
> (?(
& D D 3 ) 2 " 8@
( 3- =; > &(
(K
( =
@ D
=; >>
,( C Æ 1 ( Æ
.
=; >
J ( => ' '
G ( 3- =; > 7Q
F ( A,
=> Æ 7 ( 2 ( ( =
> F !
2 ( @ D 3
( ' 2 & ( ' & & & & 2 " 88
2 D 1 & &( 2
( => => K3
=>=
Y
( ' ( ( K
&! >
"
S
= > => / ( ' ( = >
=; 8 Y
= >
"R!
=; 8
(>
(>
30 =; >
3
0 =; >
A =2> D 1 (
=> => ;<' ;#<
' D
.
=; > & 3- =; > 3 30 =; > L 3
3
- =; 8
=; >
=; 8 > 3 3
0
=; > L 3
-
>
( ( & ( 7Q
( & => 2 => & 4 7! => 3 7! = & >
& 7" => 3 7"
7! => 3 7! =
= & >
7" => 3 7"
=
>
>
D 8 * .'1' > C =2 =/ %<> &( ' / " =2 =
/ %<> X =; =2 =
X
=; =2 =
=; =2 =
/ %<>> K3
=F F
/ %<>>
X
/ %<>>
*
3
- =; 8
X
( 3
!
& ( > =; =2 =
N F
N
> K3 =F
>T=F F
N K3
F
>8 F
=; =2 =
3- =; > @ D Y / %<> * =0 0
&
>8 F
) > G * =F F
! " &( =2 =
X
/ %<>> K3
7 & &( / %<>>
>
=% 0, >=F >
, " 3 5 L " " 9 % ' '
=% 0, >=F > => 3 0, =
G>F => F * (
> 7 % & * X =; =2 =
/ %<>>
=F F
=; =
K3 =FN FN >
N => K3
F
&
X
F =< L 2 =
/ %<>>
>
>
/ & . / %<>> ( & ) T ( ' ' ,
; )% .'2' X
X =; =2 =
=; =2 =
/ %<>>
X =; =2 =
/ %<>>
X =; =2 =
/ %<>>
" 3 5 L " " ' ( =T >T 3 T= T> ,
& , ,; K X
=; =2 =
/ %<>>
%' ( =T
X
=; =
2 =
T ' = > 3 > 3
/ %<>>
$ # &$ * % $%&'
* .'/' > . 3 =F F > X =; =2 =/ %<>>'
"
' F & 5 =; 8 Y #
' / Y >
=; > >
== ? >
X
=; =2 =
5 #
' / == ? >
/ %<>>' "
=; 8
' ( >'
% Æ (' =; >
F => K
+ 86
(
F
== ? >
> . 3 =F F
( > '
% Æ (' =; >
F => K
=; > >
== ? >
(
C & 2 ½ K3 = % )% .',3' % X
%>
X =; =2 =
/ %<>>
/ %<>>' " & (>
B; 8C
( ! ' ' X =; =2 =/ %<>>' " => ' T 3 ½ T 3
½
G ( & / 3 8 ( /
=; =2 =
(
C &
"
=
' 5 =; 8 Y > C *
> ' 5 ( ( * =A>*' & A
= > & A
=; 8 Y >'
#
3 ' & * 2 0D >
" = G * 3 L & (?( 2 F
L => * 7 =>
Æ (' 0=> ( = A( (
;
<> L & ( * 7 ' = L >
3
= L >
L = L >
& 3 L & (?( 2 & ( & *= L >8
& (' & F & / => 3 *= L >
( &( ' 4 ( & &( =2 =
Y %<> & * ( ' & ( * + 8--
"
G (?( => X =; =2 = / %<>>
.',+' % 3 =F F
>
X
=; =2 =
(>
& # % Æ =; >
=; >
== ? >
== ? >
<( ½ ( ) ½
½
L F => K
L
=
(
L X
=; =2 =
L >
Y & (
/ %<>>
/ %<>>
& (
% = Æ / 3 >
-
( * &(
& 1 & 0 & D ? ;' -%<
' & &D8
&' * & & 1 (
. ;<
" & & ' D( & = - &>
G ' (' C 2( ;!!<' .( D ;<' A
D ;
< 4 *(8 ( &( 2 & (
( ? ;-' -<' E
;
<
& &! ' C 9 7 2 -
&( 2 = > & -
3
@&
&
= >
&
&
(
( -=> "
/ -=> Y
(
& 3
$ " ( -=>
( -=> 3
= >
'
'
$
& =?> 7 = > * = > -
Æ
(
& &( 2 0 =>
&
-=> "
2' Æ
(
-=
= >Æ K3
> = > 3 = > ' 5 &( 3
= > & &( (
(
(
(
= > 3 % 6 I 2
7 2 Æ
* (
= >Æ K3
H=>- =>L=
H=>>- =>8 -
& 1 H
&
(
= > -
= >Æ
>' ' H 3 % F =
= >Æ 9 ' & = > 3 . = >
(
-
&! ) &"#$ ' C C C
3 C
<' =C> 5 . ' & C 7 2 Æ
(
( & *
(
(
=C >Æ K3
(
(
= =C >>Æ L
(
= =C >>Æ
(
(
(
= . =C >>Æ
= . =C >>Æ
%
%
&( C ' ( > & * ( =C > -=> 3 H=>- => L = H=>>- => & - )( = =C >>
- = =C >>' & 7Q
> 2 & )( = > > 3 '( = =Y ( > >> F ( =C > 7Q
& (
2' & 1 H
=
(
-
. . & &(
=2 Z>' Z 3 =I %< & I %' * D =* E .>' &
(' . * =C >' *
2 L I 0=*> 2
C H
= > 1 3 %' D E
& =2 Z> E*
*- =C > K3 H=>
+
,
+
'- * ( '
=C >Æ K3
(
( 1(
,
( =>8 ,
. =C >' & & &
( 2' & *
(
(
,
2
(
(
( =C >Æ >Æ K3 (
( =C >Æ L *- =C >
'
(
- =C > K3 (-
(=C >Æ Æ ( (
& 7Q
(
=C >Æ =C >' ( =C
-
-
&! ) 4) &"#$' G G =
;>
;
(
*
(
( ( - =; >Æ K3 - ==
;> >Æ (
(
- =; > K3 - ==
; > >
& & ( 4 ( 2' ( =; > (
==
;> >Æ (
( =; >Æ
?
2 Æ
. =; >
> 5 ( 4 (
K
. " . ==
(
(
( =; > Æ
==
(
? > Æ
(
(
(
( =; > ==
?
Æ
>
Æ
' & & * 7&( & (
. ' & & D #
( & & (
3 %
( A 6 & 6 ( ( 2 A 4 A (?( =& 2 > * 2',' > . 5
Æ Æ
(
(
( =; >Æ
==
(
? >Æ
(
(
(
( =; > >Æ
==
? >Æ
3 & =D D > =J J >' 5 / 5
. 5K
(
( (
(
(
(
K
5
Æ
(
==
( =; >Æ
? >Æ
=; > >
(
- =;
( ==
-
(
Æ
==
? >Æ
3 =;
(
3
==
&
>>
? >
>
? >
A ? =; =2 Z>>
4
! 3
&( *K
> . A 5
7 4 =; =2 Z>> ? & =5->=>
% - 3 =- - >
= =; >>
= == ? >> -=>
% A ? =; =2 Z>>
4
>
! 3 " 4
=; =2 Z>> 5 5 3
5 & 5
0 & & 5
' 4 =;
5K
( (
" 2#
Æ
==
(
"
=; >Æ
? >Æ
4
=; =2 Z>>
%
%
=2 Z>> &* (
(
(
=; > >
==
? >
7 E* # & => A
2' (' ' &* (
" "
4
=; =2 Z>>
4
=; =2 Z>>
4
=; =2 Z>>
8 * ( 2'0' 5 =; =2 Z>> =D D > =J J> 4
5
(
(
(
(
=; >
==
(
3 =;
(
3
? >
==
>
(
- =;
( ==
-
(
(
(
(
? >
? >
=; > >
==
>>
? >
& .( ; / ' (
4
=; =2 Z>> (
(
=; >
==
? >
(
(
=; > >
==
? >
( 3 5 5
(
Æ Æ
(
( (
=; >Æ
==
? >Æ
(
(
(
( =; > >Æ
==
? >Æ
& <( 5 <( ,
; " . , & &( ( & / )% 2'-' % (
(
(
(
( &
( .(
' ( ( 3 % &
(
2- (
!
' 3 =' (' U& ;<>K
C 5
>
( L5 K
(
==
Æ
"
4
=; =2 Z>>
L5
Æ
L5
5
=2 Z>>
=#>
? >Æ
Æ
3L5
4
=;
=; >Æ
==
(
? >Æ
"
5
( =; >Æ
"
L5
3 = >
4
=; =2 Z>>
5
9 ' > 7Q
5 K * 5= >
> 5 = >
L5
3L5
4
=; =2 Z>>
5
7 > * & &
L5
G( 5 3
5
K3
3
5L5 L5
5
N & A 5
N ? & 5
5L5 L5
4 ( 4
=;
5 * E* #' =2 Z>>
C > G * &( 2 3 7 A = > ' L 5 7 5 ?
Æ D L 5 7 E* # & D= L 5>
=; >
==
?
>
4 & ( L 5 =; >
L5K
==
? >
=;
==
>
? >
=>
!
7 ) # & => 5 L5K .
"
=; >
=
.
=; >
== ? >
=; >
== ? >
% ' * 0=>0= > = > 8 ' & 0
" = > 0=> 3 H=> (=> L
H=>> & 1 H
5 2' 5 ( . &
( D
' = >
== ? >
> 3 %
=
' & ' ( & 5 4 . 6 D = > D & =
F =
5>
#
5> (
(' 4
' L 5 =>' & =#> ' (
= L 5>
3 L5
& A "' & & & >
&( 2 3 F5 ( &( 2
G & L 5 3
N ( ' & 5
N K3 ( 5 ( ( L 5
(
N 4
=; = Z>> 7 * & L 5
' & N
5
4
=;
4
=; =2 Z>>
N
L 5
= Z>>
L 5 ' & 5
N
3 L 5
& A L 5 & N (
5
K3 (
L5
3
A %)6 # '
* 2'.' =; =2 =/ %<>>
#
3 /
"
' (
4K
(
4
) & &( =2 = / %<>'
=; >
==
? >
(
(
=; > >
==
? >
43
(
H =F >H L 5
=#
>
& A 5
> 1 H
> 2
#
2
4
=; =2 =
'
'
> 2 F
(
0 =F >- 3
/ %<>>' = > 3 %'
2
"
'
(
F =>
3-
=; > @ D Y
(
3
!
(
- 2 1 & &( 2 & F !,
=F >H L 5
=#>
) 3 " 2' & * 4
=; =2 = / %<>> & &( =2 =
/ %<>' /
' 4 3
(
H & A 5
> 1 H
> 3 %'
=
> 2 F
" 21
4
=; =2 =
/ %<>>' =; 8 3
-
( >
&( & ( ( ( 2 A & (' ?
;' -%< . 2 A ;<8 ( " ( ? 2
( 2 & =)+G 8 E ;
<' ? ;-' -<>
9 & ' & &( ( 5 > 4
=; =2 =
/ %<>> 8 ( 1
=#
> =#> / (
=> A "' ( &( 2 ( > =#
>
> G &*
7 K 4
=; =2 =
/ %<>>
4
X =; =2 =
=F F
/ %<>>
>
& => 2 F > =#
>' 4
> =#> G & 7 =4> K3 F 3 % /
' 7 =4>
4 7 ' & =4> / 7
>
(
4
=; =2 =
4
=; =2 =
/ %<>>
4
=;
/ %<>>
=2 =/ %<>>
7 =4K> 4 K ( 2 7 =4K> 3 7 =4>T7 =K> & 4 K
>
=> A & ( => 2 A => A "
' & D ( 4
=; =2 =
4
=; =2 =
>
/ %<>>B4
=; =2 =
K 4 =; =2 =
/ %<>>
/ %<>> 3 X =; =2 =
D( / & &* (
/ %<>>' & / %<>>
. 4 =; =
2 =
/ %<>>
7 =4 > / 4 ( 2
A 4 ? ( 7 =4 > 3 7 =4> & E* -
* 2'2' > C 4 4 =;
L 4 5 ' " ' =; >
L 7 =4>=> K
/ > C 4
=2 =/ %<>>
4
=;
5 Y == ? >
(
=2 =/ %<>>
' "
(
== ? >
=; >
' =#!> /
/ %<>> & (>
L 4 B; 22
& K =; =2 =/ %<>> = L 4>= L K> 3
L 5 = L K>= L 4> 3 L 5 3 5 5 =; =2 =/ %<>>
% 4 =; =2 =/ %<>> & (>
L 4 B; 22
& K =; =2 =/ %<>> = L 4>= L K> 3 = L K>= L 4> 3 ' ' L 4 ( ( = L 4> 3
L K
)% 2'/' %
4
L 4 =#!>
4
4
4
4 =; =2 =
4
.( E* ## L 4 => ½ L 7 =4>
* ) ,4' => L 4 4 => A & > J(
#! &
> & . ' & ? ( ! = &(> 6 & & 3 6 & & =& 5 ( ( > (
' &' 4 + C-
& +
7 A K W
A A
* ( W &
( =>
=2 =/ %<>> !,
= 1> " * /'+' G * & &( =2 =
. 4K
/ %<>' /
(
(
=; >
==
( =; =2 =
=;
' &K
? >
(
(
=; > >
==
? >
/ %<>> 1 H H
N
> 3 % & =
& F
(
H4H
N 3 =F> L 4 4
= 3 0 =; >>' ( => 2
= H>
N =
/ %<>> "'
H
N > 3 =>
=
>
=; 8
= > 3 % & &
H>4=
1 H H
N
H4=
4
=; =2 =
1 H H
N
=
A 4 4
& =>
>> = = =; 8 >>>'
H
N & = > 3 % H
H>4H
N
4
=; =2 =
/ %<>>
+
=>
" C$
.( E* => ( ( 3 % 2 1 ( => 2 A 0 (
=F>-=> 3
'
(
'
F= >
- 3
(
@&
& - & ( & /
F= >-= >
"
"
F= > D( ( 2 ' Y 2B ; ' & 5
& * => 7 => & & F= > & 2 ( 6 +' ' & =
> F= >
J( ( & 5 ( ' (' C? =
> / 2 =@(B
4 2 >' 5 5 & 6 2 6
& & 7 ( 2 1 4 & ( & ( ?' ' (' ;-<8 2 ? ;' -%<8 2 = & 2 > ( &D & ' (' ;#<' ( ;<
.(' => ( 3
@+F( 4? 1 & =>
= >' '
=>-=> 3
$
$
= >
-3
= ! >-= > " "R!
& & 1
& " & '
( & = !> 1 ' (
2 2 1 0 & 3 %' & ( + ' & 4 & 2 .' & & & & =% < 9&' & & ? & 3 % / => ' & 2' ( (? ! 1
)% /'-' % 4 =;
4K
(
(
( =; >Æ
==
(
=2 =/ %<>> &
? >Æ
(
(
( (
4
=; > >Æ
==
? >Æ
" Æ )(' ( =D D > =J J > 4 (
( =;
-
4K
(
(
-
>Æ
== ?
>Æ
(
( =;
3
(
(
3
> >Æ
==
? >Æ
" Æ * ,( 5
3 % 2 F= > => &
& 4 3
=F F
> ' 5 5K
"
(
H =F >H L 5 =#
> =#>' & 7 =4> 3
(
(
( =; >Æ
==
(
? >Æ
(
(
( =;
(
> >Æ
==
? >Æ
& = > 9 2 ' & )+G ? 2 ( &( 2
& = E ;
<' ? ;-<>' & & . 4 )+G ? 7 2
( '
& &( ( 4K
7 =; >>
= & =4->=>
= == ?
% - 3 =- - >
>> -=>
% J( (' & !
( => =% < = !!>
)% /'.' 4 =;
=2 =/ %<>> ,4 H + H + H =F>H L = H > =>= H > L 4
43H 4 =; =2 =/ %<>>' F = 3 = =; 8 >> ( = =; 8 >>
( 4
4 =!>
4
=; >>
0 '
( => 4 ' (&
Æ & &
2 @+F( 4? 1 / ) ,
' 5 & 3 % 3
& ( =' (' ? ;-<' A' '
? ;' %<' ? ;' -%< &D & (' ;#<' ;< &D >
' & ( + A
7 F = 3
0 =; >> 5 = =; 8 >> =
( = =; 8 >>> =F>A =>A 4
=; =2 =/ %<>>
,' ( = =; 8 >> = =; 8 >>' ( 5 F = 3
0 =; >> =>A =F>A =; =2 =/ %<>>
& &DK
C A
>
>
= > & 4
& F > > &K
) $%& ""'
=>7! =F>= =>7" =F>= %
% ;
= >
M 3
M 3
M
2
&=>> 3 =>7! =>= >
2
&=>> 3 =>7"
%' = > % = M %' &
C 4
6
0 =; >>
=; =2 =
7 E* & 5
F = 3
=>= >
=
= / %<>>' % % =; 8
=; 8
>>
>>
1 H H
N
$
7 ) & =
(
H =F>H
N
H>
N
=
' $
7 )
4
=; =2 =
4
=; =2 =
H> =>=
H>
N
H
H
H
( H =F>H L =
4 3
> 3 % & $
7 ) + H HN +
=
+ + + +
H4H
N
H>4=
/ %<>>
4
=; =2 =
$
7 ) 1 ' &
H > =>=
H > L 4 4 & 4 4
/ %<>>
. =F > * => 4' (
4
=>
/ %<>>
=F > * /'1' G 4 =;
;% % > =% =2 =/ %<>>
>
F & &(
6 & M ( M 3
=(> 4' M 3
4K
>
4 &* 7! =4> K
% ;
M
%
9=@ @ > >
=->
( 7! =4>= > 3 7! =4>= > % 7 1
>
7" =4> K
( = >@ &
% = M % 9
= >
@ ?
"
@ > &
@ ?
=#>
' ( 7" =4>= > 3 %
% & (
%
7" =4>= >
%
%
=
> 7 ( 2 ' 4 3 H =F>H L =
4 ( =!>
7! =4>= > 3 H =>7! =F>= 7" =4>= > 3 H =>7" =F>= H > =>=
2
2
&=>>L=
&=>>L=
H > L 4 4 H =>>7! =>= >
H =>>7"
=>= >
=>
= > % ; M %' = > % = M %' & F ,4' 7! =4>= >
7" =4>= > 5 => ( ( 3 %' 7! =4> 7"
1
=4> D > C 4 & ( =!> G * 4 7 =4>=> 3 = F>=% > L 7 =4 4 >=> 3 % / % '
( 7 =4>=> K
"
=; >
== ? >
' ( ' >
=; > >
( ( Y ( =4>> * / %<>>' E* -
4A 7!
) =4> K
=>
== ? >
=4> 7
7 =4> 3 =7
X =; =2 =
% ;
M
%
9=@ @ > >
* & =%>
1 & 4' ' & 7!
) =4> 3 7!
) =>
& = > => = > ' 1+5 ( 7!
) =4>= > 3 7!
) =4>= >
%' >
7"
) =4> K
A = >@ & % = % 9
@ ?
"
= >
@ > &
@ ?
=>
* & ' ' & & 7"
) =4> 3 7"
) => &
= > => = >
+5
( 7"
) =4>= > 3 %
%
7"
) =4>= >
%
%
% & ( =
>' >
* ( = > =!> 4 & &* ( M =; >
7) =4>= > K
"
== ? >
=; > >
=
>
== ? >
( 7) =4>= > 3 7) =4>= >
% 7 5 % # #8' C 4 =2 =/ %<>> ,(
=;
5 3 % 2 F= > => 4 3
& 7 =4> 3 =F F
(
H =F >H L 5 =#
> =#>'
> &
4' 5 = 1> " (
8 '
5K
"
(
(
( =; >Æ
==
(
? >Æ
(
(
( =;
(
> >Æ
? >Æ
==
& = >
J( 4K => 4
=; =2 =
=0 0
/ %<>> & 4K 3
=; =2 =
/ %<>> K
(
(
H =0 >H L5 ' &
> ( 2 7 =4>T7 =K>
& 4 K' 5 = L 1 L 1 > " 3 5 L " "
' & &(K
( /'2' ( ( ; ' ,
,; =; =2 =
/ %<>>
4
=; =2 =
/ %<>>
4
=; =2 =
4
=;
=; =2 =
4
=;
/ %<>>
=2 =/ %<>>
/ %<>>
=2 =/ %<>>
/ ' ! ) 3 ! 3 , !
& CC !
)% /'/' ! 4
K
=; =2 =
=;
=2 =
/ %<>>
/ %<>>
( ; & 4K =; =2 =/ %<>>' " 3 5 L " " '
( 4 K >
% % % % ' =F > =F > 4 K ( ;% % > =% > & %, =F TF T > 4K 0 F TF = > 3
T = > 3
&
F = L &+>F =
>
"
"R+
/ F
S
= L +> = L > "
"R+
S
=
> F $ 4 ( 7"
7!
=4K> 3 7"
=4K> 3 7!
=4>7!
=K>
=4>7"
=K>
'
= ( ) B; 81
& >
7 =4K> 3 7 =4>T7 =K>
T
=4K> 3 7!
)
=4>7!
)
=K>
=4K> 3 7"
)
=4>7"
)
=K>
7!
)
7"
)
7)
=4K> 3 7) =4>7) =K>
, 1 $
7 )
H4K H
N 3 H4H
V
(
N
3 H =F TF >H
H
[ KH
N L H4=
+ + + +
(
H =F >=
H H
N
H>K
V
H
N
H
V
H
[
$
7 ) G &
(
( H =F >H
V
=F >H
N
( H>
V
=F >H
N
(
H =F TF >H
N
4 4
=; =2 = / %<>> F &
' ' #' ) #' &
( 2 1
=& => >
F5 $
7 )
=
H>4K=
=
+ + + +
H
N> 3
H
V
H
[
=
H>4=
H> = >=
=
H>=
V
H H
N
$
7 ) ' &
H>
V
=
H>
[
= >=
H> = >H
[
= >=
H>
N
H>K=
[
H
N > 3 =
=
H
N > L =
H>4HK=
[
H> = T >=
H> = T >=
& "
H>
N
H>
N
H>
N
4 4
=; =2 = / %<>> . & ' ' ( ' (
=> 1 = !>
H4K=
H
+
V
H
N C H
H4K=
=
H>
N =
H4= H>
V K= H>
N L H4 H
V K= H>
N H>
N 3
H>4KH
N
3
=
H>4
N
H
V KH L =
H>4
N
=
7 E* ) # & H4K=
4
=; =2 =
H>4KH
N
& 1
> H + HV + H'
N &
=
/ %<>>
H>KH
V
H>
N =
H>4KH
N
( ' & & 4K =>
= L 1 L 1 > " 3 5 L " "
' ( 1 ' ' & ( (( ( & &
/ & & ( 4 ?
? 9&' & ' D( /' & ( D )% /'7' % 4 % & < . , =; =2 =/ %<>>' 4 (
>
% % % % ' =F > 4
( ;% % > =% > & =F > 4
=;
=2 =/ %<>>'
4 ' F
= > 3
F=
< L "R+ L &+>
= > 3
;<
/ =
> F= < L > = L L +> ; L < "
"R+
, *SGS
;<
,
$ ;<
? & ( $ ;<
7" =4 > 3 7" =4> 7 =4 > 3 7 =4> )
=4 >3 7
7! =4 > 3 7! =4> =4> 7!
) =4 >3 7!
) =4> 7"
)
)
= ( , B; 81
7 =4 > 3 7 =4>
"
)
4 5
& & !'
! . ' Æ =5 ( > ' & 7 (
' 5 &
* 7',' C 4 =;
=
=2 =/ %<>>'
4 => M 3 1 7! =4>= 9=@ @ > > = >
>
=% ;
M>
% 7! =4>= >' =>K
> > =#> = >
=% = M> % =4>=> => >
7
>
>' &( * 6 >' >'
>' >' > & & M 3
>
& "
Y ( =
( =>' 1+5 7!
) =4>= > 9=@ @ > > = >
=% ;
M>
% >
65 7"
)
=
>
> =% = M> % =4>= > =>
5 7) =4>= > =
> )% 7'+' * 4 =;
(>
4 & D =2 =/ %<>>'
M " ' =2 =/ %<>>' " => ' 4D =2 =/ %<>> D 4 4
=; =2 =/ %<>>' " 3 5 L " " " 3 5 L " "
=;
4
=;
)(' 4 ' ( ; ! D
4D 3 D 4 3 ' ' 4 ( !
G 6 = >
,' > > & D & 4 F& 4 ' =F > 4 (
N > =%
N ;% %
> * (
;% % > =% >
'
C 2 F= > *K 7
+
( >' ( ;% % > # 5 F >> F= >F = > F = >F= > > =; 8 E* & & ( F= > =; 8
=;% %
+
(
(?( 2B = > $( F
6 = =; 8 ( >>
N + $
7( 1 H H
N = > 3 % & H + H
& =HF>T=HF
N > H =HF >T=HF>
N
H ( + (' & * * F = >
(?( N
2B F& * F=
> K3 ( =>F = > & 2 D
' & 1 (
= > & 3 = 0D
(
N
H
N
4
=; =2 = / %<>>
> G & H =FTF>
(
N
H =FTF>
H
N
4
=; =2 = / %<>> 1 N
H H
N
$
7( 8 F
6 = 3
0 =; >>
5 N
= =; 8 >> +
+
1 $
7( )
4
=;
=2 =/ %<>> =
= H H
N & =
H> =N
T>
=
H> =TN
>
H>
N
! 1 3 %>
4
=;
=
H>
N
=2 =/ %<>>
D
+
, 1 $
7( )
( N
K3 H =F>H
L =
H
+
H
+
+
H
$
7( ' *
H > =N
>=
H >
=; =2 = / %<>>
N 7 =F
N> D N > =%
N ( ;% %
> 4D
' & 4
=; =2 =/ %<>>
% & 0 K3 7 =4>
7 =D > 3
3
=; 8 ( >
N K3 D L H( =0>H G 1 H = > * D
=2 =/ %<>> N =; =2 =/ %<>>
4D
=;
4
=2 =/ %<>> & 7 =4DN > 3 7 =DN 4> 3 N 4 D
=;
4
.( # 5 $ =; =2 =/ %<>>' # 3
4
=;
=2 =/ %<>> D 4 4
N 4
N = L $ >
= L $ >D
4 D
A
N
N
' D K3 D = L $ > D K3 = L $ >D * ' >
( 4 & &
#!
$ 7'0' % 4 4K
(
(
=;
( (
=; >Æ
==
=2 =/ %<>>' " ' ( (=; > >Æ
? >Æ
(
(
==
&
? >Æ
* Æ & ' A ' ' ) #
$ 7'-' % 4 4K
(
(
=;
( (
=; >Æ
==
=2 =/ %<>>' " ' ( (=; > >Æ
? >Æ
(
(
==
&
? >Æ
<( Æ ' ' 4- 3 ( )(' 9: / ' ' ,
( =/ %<' -
" 68 C 4 =; =2 =/ %<>>' " / > 6 > E* * & * D
=; =2 =/ %<>>' "
=
> ' 4 & ( =% < *5 #" ) &"#$' ,' A & *5 ' &
/( ( ( * & * + * 1 ;< 2 '
1 ;<' &
*5
. 4
6
%
J
K
(
(
( ==
(
=; >Æ
? >Æ
(
(
( (
=; > >Æ
==
? >Æ
=; =2 = / %<>>' &
V 6
V
D
"
' =; =2 = / %<>> (
V
V
%
J
2' (
N
6
N
J
4
N
%
K
=; =2 =
& 4
(
(
( (
=; >Æ
==
/ %<>>' "N
?N >Æ
(
(
( (
=; > >Æ
==
?N >Æ
' N G == =2
= / %<>>'
' & ?
?N ' ' N & = ;<>' & &
N 4
%N
N
6
N
J
6
%
%
%
3
N
V
%D
K
(
(
(
%
N
V
%6
V
%
( V
J
=; >Æ
(
==
?N >Æ
(
==
? >Æ
N
%
N
V
N N J
%D6
V N N % 6
(
(
(
( 4
%
%
=; > >Æ
(
==
?N >Æ
(
==
? >Æ
J
N
6
6
%
N %
,4' K3
N6
V
%
V
J
N
J
ND
V6
N N %
V N N % 6
4
N
%
==
N
6
N
J
=2 =/ %<>>
0 N
4 6
4 6
N
N
%
J
%
J
6 #! =! ? ! ! "! @## %
+6A1A+6A:9,,! :24B727+41BA2,
2 # ? ! #
$ ! @## % +6A:4,! 626B24A
4 " *! ! " +6A:9,! 4! 14B617! C * +6A:9,! 4! 14B6:6
9 #! % &
# #
' (
% )! &
#! " ;A! 8* D ! 8&8&8! 6AA1
1 8! % @ E! ! ) * ! 0 =&
E# +6A;9,! 2! 494B4;7
: ? 8 "! $ + ! +6A76,! 66B16
7 8 F 8& F! , (
+
! % A;G66! #! %#! 6AA;
; @ IH @ E *! $ - +
! " =* +6A72,! 74AB794
A @! ( . + - Ê ' +
! >8 72! % A3! 8! 6A7:
63
! ) ) #
/
! @# C"$ %! 6AA1
66 @ 0 ! # ' '
! ' $ +2336,! 2! 6;1B266
62 @ = ! (
#
+ /
+
! ! " 632! $&@! 8! 6AA;
64 J " 8& F! #
+ /
' ' (
!
$/ " ! " A4! 8* D ! 8&8&
8! 6AA7
69 = K<#! # ! % = ' + !
8&&
( J*, +J " ! ,! !
" :4! 6AA9! 234B46:
61 = K<# I ! # $+, #
! &
$/ " ! " 636! 8* D ! 8&8&8! 6AA;
6: E *! $ , #
#
! ! " 12! # ! %"! ! 6A;3! *!
*"! 6A74
! # ! 0 <$ 67
+6AA2,! 614B67:
6; >#! # # )! %&! (
@! ( J*! 6A:9
6A 0 8 E! 8& F! 0 ! 0 +- +
+ ! = '! $# $! # % $ +*# ! 8, + =# 8& F! ,!
! " 633! 6AA7! 664B647
23
! ! * 0 +2333,! 226B2:3
26 % 8 E*$! - )' 0 ' (+ . )!
! @@ %! 8 ! ! 8! ?! 6AA1
22 E ! ( 1 *2! C * +6A76,! 9! :34B:21
24 8 E# ! -
- 34 (54
- #! +6A71,! A1B697
29 E E! # #
+ $ #
(
! ? #! " 69A1! ! 8&&
( J*! 6AA6! 9:B667
21
! #+ - ! I +6AA1,! 6! 94BA3
! 3 #
$ #
! ! %
2:
#! " :1! 8* D ! 8&8&8! 6AA:
27 E E $! 64 (+
#+ ! " +6AA1,! 4! 9;6B12A
2; E E *"! # #
+ +$
, #
! 0 = ' +6AA3,! 21:B439
2A #! 3 - ! E E# +6AA3,! 2! 6:7B6A2
43 ? D#! #
+ ! @## % +6A:1,! 136B167
46
! ) (
% # /
! " B! !
8&&
( J*! 6A;4B6A;1
42 @ (*! ) + ! * 0 +6A77,! 1:AB1A2
44 0 (! % -. ! 8 E ! ! 6A;6
49 % 0'! )
2- ! ?<#
# L#' +6A7A,! 2;1B43;
41 0 0 ? ! ( + ! @## % +6A:1,! 2:AB431
4: <"! $ ! ( +6A:7,! 227B464
47 ! ) , +-
! %$! @! @ +8* D ! 8&
8&8,! " % = '! $ " ! 4;
! , ! %$! @!
@ +8* D ! 8&8&8,! " % =&
'! $ " ! 4A 8& F! / -
7 ! %$! @&
! @ +8* D ! 8&8&8,! " %
= '! $ " ! 93 #&! #
+ /
! %! @# +,! ?!
6A;6
96 ?$F *$! *"! C"! % &
+
# )! # ! " 24! # ! %"!
! 6A:;! *! *"! 6A:7
92 ? ! /
3
)' ' (
! ) F #*! " 64:! 8 E ! ! 6AA7
94 0 ?( @ %! #
! @## % =&
' +6A;4,! 977B199
99 0 ? ? ! #8
. 8
! " 6B4!
=! %! 6A:;B6A73
91 E F<$! F"! 0 M#! # $ )!
# ! %"! ! 6AA7
9: E F<$ 8 %#"*K! / - +
0 ! C F" +6A72,! 63:7B666:
97 8 ! ) (+#+ . )! #!
%! $! 6AA4
9; 8 E F! ! %!
! 6A;4
9A *$$! / +- , ! 0 @&
# +2332,
13 @ %! / 1 Ê 1! % +6A72,! 41AB4;A
16 %F$! (
.
0
! +6A:7,! 6A4B26;
12 E %"*K! 64
! @ " #! " 1! E 8
% ! ##! 6AA:
14 %! 9 :2
+2
,! >! E +6A73,! 6! 77BA9
! #8
. 22. 2
2
19
2! >! E +6A76,! 6! 1AB7;
11 8 %#"*K! (
#
/
! ( # % !
= ! 8! ?! 6A;A
1: %#! # + + - ! +6A;A,! 2! 226B299
17 # 8& F! . ) $ #
! *# &
! 8! 6A;2
1; ! ( $ -:
! $ +8* D ! 8&8&8, +0 E! = E! ? ! ,!
" % = '! $ " ! 2336! ;1B66:
1A 8& F! $ - $ -:
! %& @ # % $
+*# ! 8,! " % = '! 6AA9! A7B23A
:3
! $ - $ -:
! 8$ %#! D ! =# NF&
+*# ! 8,! " % = '! 6AA1! 73B231
:6 8& F! .
+ ! % ( 6A;: + ! 8&&
( J*,! ?
#! " 621:! 6A;7
:2
! + !
E E# +6AA3,! 4! 2:6B2A7
! #
+ /
! ! #&
:4
#! 6AA6
:9
:1
::
:7
:;
:A
73
76
72
74
79
71
! ) + ! $##
O$ ( < 6AA3! 8 +E#$, +8 E !
, + ! ,! ) F #*! " 646! 6AA2! 23;B
2;A
! $ , #
#
+ /
! 0 $!
@ ! 6AA;
! / ! &
$ +8* D ! 8&8&8, +0 E! = E!
? ! ,! " % = '! $ " !
2336! 6:7B237
$! . ! # % $# %
! " 63! # ! %"! ! 6A:7! 2;;B437
! ) - ! # 0 +6A:A,! ;;ABA6A
0 ! ! +6AAA,! 6:4B6;2
! #
/
)! ! 8&
&
( J*! 6A;7
*"! $ - +
! % *" +6A:1,! *"
+6A:1,
! ! % *" +6A73,! 617B6;1! *" +6A:7,! 647B6:3
! ; - ! # ! *" ? +6A76,! 63AB626! I * # ? *" +6A:A,! 21:B2;7
C! ) + 3
! @## %
= ' +6A;9,! 667AB624:
* E *! # - ! #
+6A73,! 646B6:2! * +6A::,! 6:2B6A3
!
"#
+ /