Введение в теорию формальных языков: Учебное пособие

...

Author: Бунина Е.И. | Голубков А.Ю.

23 downloads 158 Views 600KB Size Report

This content was uploaded by our users and we assume good faith they have the permission to share this book. If you own the copyright to this book and it is wrongfully on our website, we offer a simple DMCA procedure to remove your content from our site. Start by pressing the button below!

Report copyright / DMCA form

DOWNLOAD PDF

% )

! " # & ' ( # *#"

$

*+ # +

*+ # " -

. !

. ! + #

/ -# + ' #

01 !'

2 # 3 !4 + 5 ' #

% / -# + # + ' #

) * 6 " 78 # # + #

9!

! "

: 7 ./5 ; ( # # " 05 % / + 05 ./5

,

) $ $

#

) ) %

%

) : 05 7! " " #8 ! ' 8 ' 7 #" # ' - # ; ## #" 8 ' ' ! 8 "6 $ & #" 7 7 " ' 5 18 ' 0 " " 8 ! ! ' # " 1 7 # @ " # 8 ! 7 - 5 ! # # "# # # + + + " 8 ' # 5 ! 7I " # # # + 7 6 - " #" - " G " 8 5

+ "# 7# # 8 # # # "5 O " 8 8 #' F " !5 + + " P8 G B '-C # # #" - " ## #" 5 - ' # " +' +1-A +1 # +" " +1 " 7 " + G @ 7 # 5 ' # # - " ! # ) # 8 # " # " 3P4 ;" 8 # 18 # +" - - 5 8 G @ '- # ? 7 8 +1 5 # +" - " - 8 G @ 7 P P8 ! - 3 4 F + G @ 7 8 "# 5 " M +1 7 # # " +" 5 # # # " 7 " " " #" ;5 " 8 #" 8 " 8 5 # #" 3 4 # - " J #" # &" # ! " 8 " " " +8 +" + " 5 #" " 8 " #+ ' + + + 1 " # " *#" 7 8 " + " # # 6 8 ! ! # +- ' - # # " +1 # +" ##+ # " ?+- ' - #5

%

18 ! " 8 # # + # # +" +# -# " 8 7 @ / 75 # # # #+' -# -A 3 4 ' # # + !-+ 8 + !-+ " 5 # # # O 3 4 " " # 1O 34 # # # +" +# -# #" + 7 "# ' + 1 #" # G @ 7 - # #" 5 8 7 A 3 4 # # +" +# -# O 3 4 # ' - # # " O 34 # " +8 ! #+! 6+ " + !+

# +# . G # ## + - # # # ' Q # @1 E > 7 5 - # Q # E 6 ## .8 # " # " # + - 324 # 2 2 Q + # # # # > 7 5 - A Q 3E 4 0 % ## .8 # - G 6 7 + 6 4 # ! - 324 4324 #' 2 Q

/ % . Q % . . >! / $ . - Q F 2 2 2 2 F K 2 K 2 K

K 2

/# 0 % . % -

- 32 4 F - " # # !# 5 5 # 5 F

.

## 8

8 ! - 32 4 # 6 5 +

- 32 4 F

- 32 4 - 32 4

# - 32 48 " " 7 - 8 " D# F 8 F D# F 8 F 8 8 8 - 32 48 + #+ 8 ! - 32 4 - 32 4 : " +1 H 7 " 8 ! - G 6 " !8 " " 5 8 ! 4 G 6 #+# + # - 32 4 432 4 ? - 32 48 "# F 8 " # # 5 5 !# " +# " 8 5 F ? 4 G 68

4324 432 4 #' 5

!# # 8 432 4 432 4 432 4 #' 5 ? 432 48 432 4 432 4 F

! #! " +!8 ! # " 5 # + 432 4 F 432 4 ' " !8 + #+ 8 ! - 32 4 432 4 #'

/ # $ . . - # 0# # . /# . . & % 0 & % & . . : "+# 8 ! 6 ## # +

K # " # 4 ## ' .

# F K # K # K

3 8 ! @1 . + # " # " : "+# 8 !

# F K

#

3 4

!

G + # ## . " 5 ## . + # 7+ # F K

#

3 4

F K F K

/ " " +! " # 6' " ' ! ## . . 8 7 ! # # ! - - 8 ! # 8 " - 3# 48 " - 3# 4 +# - 3# 4 ? " F 8 8 - " # # !# 8 8 8 F 58 G @1 ## . ?

F F K

F " F 5 F "

+#

8

F 5 ? 7 8 7 8 F 8 8 8 *## " # # !#

8

F 58 " F 5 / F 8 F 8 " F 5 # 8 / F 8 F F 58 # F 8 / F K 8 F 58 F F F @ #+! 8 !

F

" 6 / 8 " 6 F / 8 " # # !# 8 8 F 5 > # " " +! - 3# 4 9! 8 - 3# 4 - 3# 4 H 7 7 8 " " 8 ! - 3# 4 ? " F 8 - " # # +5 ' # " +# 8 8 F 5

%

0 ! # +"" " # 8 ! 7 7 F 8 F ! 4 # ! 8 6 F 7 K 8

4 # ! 8 6 7 # 8 ! 7 # ! 7 8 F > # #+ 8 ! 7 #+! G @1 " # + # ## . 8 8 ! 8 - 3# 4 " +!8 ! - 3# 4 F - 3# 4 #' 5

/ $ . . - # 0# 2 # 3. /# . . & % % & . . : "+# 8 ! 6 ## # + # F # K 8 G + E ## ' . . + # " # " # F

< # " ## . # F K # K

K #

K #

3 4

K

3 4

## . + # 7+ # F K # K

K #

/ " " +! " # 6' " 5 ' ! ## . . 8 7 ! # # ! - - >! 8 ! " 5 - 3# 4 F - 3# 4 8 ! - 3# 4 F - 3# 4A

- 3# 4 F

F F - 3# 4

?" "+# 5 ?

- 3# 4 F F

F F

" @

- 3# 4 F

!

)

> # 8 ! - 3# 4 F - 3# 4 & # @ #+ #+

( # ) 0 & % & . . . #+' # + N : +5 ' # "6 + 4 0 # # $ # ! !# +- ! G 1 74 0 # # $ 8 ' # 4 0 # # # !# +- 1 4 0 # # $ 8 # ' " # $

. +# G + # " 5 + # " +! 8 ! G + # . # *6 ## + + - # + @15

A

# F 3$

K 4# K # # F K # K $$#

# F 0 K # K #

)* " ! +

8 ! " # " - - - 8 # + #

/

1%

4 3 4 4 34 ) E 3 4

& . .

3 4 F 3 E 4 G " - 8 - 34 F 3 4 F 3 E 4 G " - 8 34 F 34 F 3 E 4 G " - 8 34 F

/ 3 4 3 4 34

4 4

5 -

% . . ? " -8 #! 8 ! #+# + " - F 3 E 4 F 3 E 48 ' 3 4 F 4 F L+ " " 8 ! " # # ? + " 8 @ " " " " 7 # 3 4 +# G " - 3

E 4

G - - # 8 " - 8 J# 8 ! 3 4 F 3 4 3 48 #+# + 7

8 7 8 7 ? G " - 8 3 4 G " -- 3 4 +# G " - 3 E 48 5

- " # A 34 # # $ " 8 # $ ! # O 374 # # " 8 # ! # O 34 # " " 9 8 ! #

8

8

8 # ? 7 8 3 43 4 3 4 " " 8 ! 8 " " +

? " # 8 @ "#

8 F # " 8 #" +

8 " " # " 6 3 4 3 4 / 8 7

> # 3 4 3 43 4 & 8 3 4 F 3 43 4 34 +# F 3 E 4 8 ! " 5 8 # # #+ 7 A 34 # 3# $4 8 3# $4 O 4 3# 4 374 # 3# 4 8 3# 34 3 4 >! 8 !

!

,

( # % # # # .

.

; 7' # #+ 8 # #5 " # +1- " !#+ 6 " # + 5 # 8 6 G @ " 8 " ' + 5 # : # ! # +# F 3 E 4 G " - 5 F # # 0 " # # + ## + + 5 - # + @1 8 # - #+ 5 < #

# F K # K

K #

G # " # 3 4 F K K 8 # # !# # " - !# 8 # # - 3# F $8 " F 4O 3 4 5 $8 " AF K K 8 # # # # G # " # - !# # " - !# 8 !-# # 3 68 # F $8 F 4 +# F # 8 34 ? #

#

#

#

# #

F

# # +- "

# # # #

# # #

+ " " # 8 8 8 8 " +!8 ! - 3# 4 F - 348 - G 6 " ! " # - ## + - +# 8 7 8 - 34 F - 3# 4 ? " F 8 8 M ! 8 8 8 8 ! #+# + " # # 8 # # 8 8 # # 8 # 8 + " +! # - 9! 8 34 F - 34

$

. +# " # "

$# # $$ # $ $ $

;- + 8 " @ - -

. ;- " - ' # ! +

, 0 ## #" # 7 " ## + ' # A 3 4 ## + ' # G 6- ## 8 # 5 - # 8 8 #' # + - # " 1- 7I8 1 1 3 4 + # G # 8 " + O 34 + # G 8 " " - 5 ?" "6 ! - #" # 7 ' " # " !' . !- # " # -6' #" - BL# ! -C " + >7! !- # # 5 ' - +" +# -# # ! - " 9# " +" + +# -# + 7 5 8 ' 7+ # -8 7+ # # " - 0 " !- 8 ! # +" 5 ' # # -8 ' # 8 ! # # # ! ' # # -8 +'8 ! ' # "+# # 9 # +1 " ' # # -8 " + B +5 +C # # B ++C ' + # + + # 5 #+ # # ! 8 ! @ +# -# G 5 ##8 " ' # # #+ # # 8 # + 8 +7 + #7 8 ! ' #+' # # - ' # @" @ +# -# ; 5 - "+# ' # 8 # -5+ " 5 7 ' @" # ! # #

; - !- G @ " , F 3. E Æ / 8 48 3 4 . G ! # O 3 4 E G ! # ) )) O

" #

34 Æ G 7 # . E # 3.48 " 5 " +" +# -# O Æ ) O 34 / . G +" +# -# O 3 4 8 . G # ! ' # # -

*7 ! " # # 7 - + " # 5 # 6 8 ? " # + # # +" 5 +# -# ' # 8 7 - ' - - / 6 # # # # # ' 5 - + !-+ " : 8 ! 7 " 7++ " ! 8 + 6 3 4 + # # +" +# -# 3 4 # ' - #" M @ + 1 "# ! 8 7+ #

D# , F 3. E Æ / 8 4 G !- 8 " 3/ 4 . E # # , . 5 + 1 3/ 4 # 8 " 3/ 48 / 8 8 # & 3 "+#-4 / , " # # 7 6 " 8 " 5 + 1' D# / Æ3/ 48 3/ 4 3/ 4 #' E 9"# % " % ! 8 ! % F % 8 "# % " % 3 48 G ! #+# + + 1 % % 8 ! % " % " $ 8 % " % G ! % " % $ ? 7 8 6 G @ # 6 8 ! ,

# 8 # 3/ 4 3/ 04 / 8 3

4 , 8 3 7 ! # 3, 44 # # ' ' # 8 "+#' , 8

E 3/ 4 3/ 4 / 8

$ +# , F 3 / 9 $ Æ 948 Æ # 3, 4 F

71-

Æ / 9

$

/ 9 9 9

= , "+# # # $ 8 # # ' + 3 @ R4 ;! # # 5 " A B # ' + " # " +# 7 +C

/ # / ! B # ' + " #8 " +- # 7 +C / # 9 ! B # ' " + + " #C ;" 8 ' $ $$ # - - " # 5 # + 1-8 !-# # 3 $ $$ 48 7+ 3 $ $$ 4

9! 8 $ $$

3, 4

3/ $$ 4 3 $$ 4 3/ $ 4 39 4 39 4

$ # - !- 8 "+#- # 8 + - " # 1 # + " # 6 ;" 8 # "+# #8 G # # / 8 ## 8 ! @ # 5 # " # ! #" 8 ' # - # # # # / 8 / / 8 ## ' 8 ! B " " C 8 ! " # 1 # # " # # # # . 8 "+# 7+ !5 # # / ;' # # # / 8 # # 8 " - # # / 8 # G ! 1 ;' # # # / 8 @" " - # # / 8 # & # # / + " ' 8 " # 8 "+# # ' # 8 6 # 8 # ! ' - # " # 8 , F 3 / / / / / Æ / / 48 71 +5 1 " ' ÆA

Æ / / / / /

/ / / / / /

/ / / / / /

/ / / / / /

+# , F 3. E Æ / 8 4 G 5 - !- # 3 # ) 4 , +" !- " !- 8 6 " !5 # # - # + 3 /48 # #+# + # E8 ! / Æ3 4 . 8 + 3 /4 " ! # #"# 8 # # ' 8 ! / Æ3 4

" #

Æ Æ Æ

: " +' " A

!

!

$

$

$

/

/

/

/

/

9

/

# +# , F 3. E Æ / 8 4 G 5 - !- ; , 8 # # Æ3/ 4 # 7 @ 7' / .8 E D# Æ3/ 4 # # ! # # 8 5 " # "

> 7 ' + !' # 5 # 8 ! ## 8 " ' 5 ! 8 # " # ## 8 " ' " 5 # " !

( 5 F 3, 4 # 3 #4

# , F 3, 4 # & # # # , . . +# , F 3. E Æ / 8 4 # , F 3. E Æ / 8 4 #+ 7 A 3 4 . F 3.48 # # , # # # 5 # - , O 3 4 / F / O 34 8 # # #' ' " # .8 ! 8 F O 34 Æ3 4 F #' .8

F

Æ3/ 4 #

/

: +1- " !#+ 8 !

3 4 " ¼ 3 04

F 3/ 4 " 3 4 /

/! "1 B C +# F 8 3 4 " ¼ 3 48 F " +1 Æ

F

Æ3/ 4 #

F

E8 Æ3 4 F 8 + "

/

3/ 4 " 3 4 /

?" " " 8 ! 6 + 8 ! # # F : 8 E8 F 8 " ! 3 4 "¼ 3 4 4 ¼ 3 48 + " " " +1 ? 3 4 " ¼ 3 " #+ F 3/ 4 " 3 4 /

;

F / 39 4 " 3/ 4 9 + #+ 8 !

F 9 39 4 " 3 4 9

! 7 # >7 "1 # ! & 8 !# # 8 #+ 8 !

3 / 4 " ¼ 3 04 8 3/ 4 " 3 04

8

9! 8 3, 4 F 3, 4

$ # - !- , F 3. Æ / 8 48 "+#- 3, 48 " - 5 , " + " ? , # # -8 8 # 78 , # # > # # ! # # / # # % 8 # #+5 # + # 8 ! 3/ 4 3 48 / G ! # # 0 7+ # # # #

# !

Æ # F / $ F / / % F / / ; F / / < F / / / 8 F / / / F / / / = F / / / * F / / / ( F / / / + F / / / / F / / / / , F / / / / F / / / / F / / / / /

$ < 8 < + , 8 + ,

% 8 = * 8 + = * +

; * ( , * ( ,

;! # # , G @ # 9! # # A # 3, 4 : "+# 8 ! 3, 4 ? 3/ 4 " 3/ 4 / 8 *## #+!A / 8 / 8 +# / 8 ? F E8 + +#

3/ 4 " 39 4 " 36 4 " 3/ 4 9 8 8 6 . Æ 39 4 # 6 9! 8 +# " / 8 ? / 8 ? 7 8 > # !8 ! 3, 4 F 34 # , F 3. / E Æ / 8 / 48 / G

# # 8 " . 8 - "+# >" +1 Æ # 3 4 Æ3/ 4 F Æ 3/ 48 # / . 8 EO 3 4 Æ3/ 4 F Æ 3/ 4 Æ 3/ 48 # / 8 EO 34 Æ3/ 4 F Æ 3/ 4 E ? 7 8 , " " ! # # 5 , 8 7 7 " , 8 7 ! , # ! # # 9 8 ! 3, 48 / G ! # #

+ " +! +A

8% - # % 4 - 4 - 4 - 4

( # 3 4 3 4 34 34

3 4 # % ( .

-+" * & " + ! + + , - 6- @ 5 - + !- 8 #! # # # # # 6 # #

+# , F 3. E Æ / 8 4 G !- 8 / / G ! # # L+ 8 ! # E # # / / 8 # 3/ 4 3/ 48 3/ 4 3/ 4 # # - / / " 8 8 + G L+ 8 ! / / 5 8 "# / F / 8 # #+# + # 8

! / / 8 + L+ 8 ! # # / / 3"6 / F / 48 # 5 ! 7 $ / # / . # % 8 # #+# + ' # 8 ! 3/ 4 3/ 4 = # 8 # . # ' # # 5 - +' !' # # -

Æ

$ *## $

!

#

% $ 8 $ $ $ $ $ ; < $

? # # 8 # 8 + 'A

Æ

!

$

% $ $ $ < ; $

!

#

,

$

$5@ # # # % < # $ ; 5@ # # # " % ! 8 ! - ; 7+ : ; G # ;

$ ; - # F

. /# . . +# % % % % G " # # #5 /

F 3 E 4

!- ;8 ! 3 4 % # ;8

" $ %

%

3 4 % 8 $ " +! # % - - 6 " " O 34 % G ; J# 8 ! ' 7 " # # #+# + D# G #! % 8 ? G #

D# # #! % " +! # % - # - - - 6 % " " 8 # # +- # # $ " # ! 9 8 ! - 3" -4 " # " + 5 ! D# F F G - # 8 # # 8 E 8 # 8 3 E4 . #+ # " +! # " + # # " - !# "

3$

4

$ *## ./5 + # "

< K! ! ! 8 8 3%8 " >1$Æ8 " " 7 " 5 #' # " # >1 Æ8 " 7 " " 7 5 $ > # " % 1Æ # %1$Æ8 " +! # >1Æ8 " " # " 7 8 7 # " # >1 Æ8 " + # + ?" "+# # # # ;"6 # F

27 " 7 F % 2 F $ 3% " # # %

¼ F 2 2 2

$ $

$ 4

8

$ $ $

2 $ $ 2 2 $

2 2 2

" 7 $ 2 # " $ F 2 # $ " 2 F #

: + " " 7 G +# "

$8 7+

0 > 4 7

*) ./5 7 5" *) M ./5

"

1.

7 5" 7 1"'

3 4 : # " # & F $ # $ #+ 7 A 34 AF # 8 F 374 AF % 3$ %4 $ 34 D# F 8 +! 1+ + # 374 &! " & F 3 4 # A # 3$ 4 # 1" " 8 ! " # #' ' #8 ! $ & 34 AF 3 E 4

$ < ! 8

< K! ! ! 8 8 3 # # +" +# -# # " + # 9 8 ! 5 " #' 8 ' 1" ! " ! /+- 6 8 # "+# > 6 G @ # # # 5 6 ! 8 ! - 34 8 " @ + +# " >! 8 ! 7 8 ! # " - 34 7++ " # # 18 7+ - 34

>! 8 !

?" + # " #

# E

7 + + F 3 E 4 #+ 7 +# G # ' " ' !# - #' " 3 4 ; # # #' "+5 # ' # 8 " #' - A F

#

#

# #

3 4 ! # #+ " A # "

2

2 # "

2 2 2

2

2 2 2

2

O

2 2 2

2

- 34 EO

# # " 2 2 ! # "

2

2

3

3

3

3 O

)

# 7 "

2 2 ! # "

2

2

34 AF 8 ! 3 4 F 3 4 : @ 7 " # 8 U 8 5 # # 8 # ' & 8 "+# 3 48

F

: + +1- " D# F 8 2 2 #+

2 2

2 2 2 2 2 2 2

2 2

2

?" "+# #

F 2 2 8 F 3 3 / 8 8 ! 8 " " " +18 # 2 2 8 F # #! 8 # F # #! &A

2 2 2 2 2 2 2 3 3 3 3 3 3 3 3

?" 8 7 8 "+# F 3 4 ? # - 3 4 - 348 + #+ 8 ! # - 3 4 - 3 4

2

?" + 8 - " #+' A #

$% #$ % # # $ #

# $ %

E

# + - +8 ! 3 4 F 3 4

) 3 4 F " #8

! ! ! 8 # ! ! !

" "

! F !& !& # ! F !&- !& !&# $ ! F !&-. # $ %

3 4 # # #+' " A $% # O 4 7 # # " # 74 " # # " # !& !& !& !& O 8 4 " # $ # " # !&- !& !&!&- $8 !&- !&O 4 " #$ % # " $ !&-. %8 #!&-. 34 F 8 ! 3 4 F 3 4 +# 3 48

F

*## 7 - " ' D# #+# # #

$% # - " ' # D# F # F

F # D#

!& !

F #

8

F

$ F

F # D#

!&- !&-

!&- !&- $

F #$ F #$

$ F

% F

#!&-. %

% F

9! 8 3 4 : 7 : +1- " 8 ! # # 5 8 # # # E 3 4 8 D# 8 #+# + " 8 " ! # # ! ! ! 8 @ 7 " 8 7 #$8 # 9! 8

(

)

+# + #' *## 5 A

D# ! ! 8 #

@ ! 3" " " +148 ! 8 +# - !# " #+ # + ' 7 ! ! ! ? ! #+! ;" 8 #" + # " !& !& ? F !& !& 8 F 8 3 E4 ? !& !& # ! # " - !# 6 " # !& !- 8 6 7 " 8 " ! + 6 # -# # " # " #' # 9! 8 " 7 8 ! 7 " # !& !& " # 3 45 6 ? " +! #++ +A

F #

F !& !&

+1 " +!

#

/ 6 ! # # " 8 + " +! 3 4 F 3 4 F 3 4 F 34

7. ; = ? ,% + " + !# 8 # + " # 7 " 1 7# 5 ! - " ## + +" # ! - " # ! +# -# ? " # # 5 - #' @ ' " 1- " 1## " " 5 ! H !+ " 8 @ #5 # " # ## - # ! !# # # - ' 1 + 7! " # # " # 5 # # " 8 ! 5!# #" + " + " 3" 8 # 7+4 "# 18 " ! @ "# " # " # 8 # # !' ! # "# - 5 18 # + 1 ? 7 8 @ " 1 " " #! "# # # " # # 8 " # # +!# " # # + -

)%

'

3

`

`

# # / # ; # # # - 8 # & 065 ? 7 8 - !-8 + ' 7 # 7 - # !-8 ! !#8 " 7 # 6 ? # " 3/ 48 / G # # 8 G "+# !# 8 G #"1- # 8 " 5 -8 ! 7 !-+8 #" + " # # #" &" # 3" # 3/ 44 " # # " # #8 7 -8 +1 Æ3/ #4 : "+# 8 ! Æ3/ #4 F 3 # 48 G # # 8 # G # 8 $ ? #+- + 1- 7+ 3 48 8 F $8 F $# 8 F # O # F # F $8 F 8 F # 8 F # O # F 8 F # 8 F # / # # @ + 7+ "# 3/ 4 3 48 # 3 4 G #+ " # 3/ 4 + 1 L 6 G @ # 6

# +# - G !# ! +1 E E 05

(

))

6 ? , +1 - 8 # E 4 # - 34 " 8 / ` / 7 ' / 8 8 P O

4 # - 34 F '8 / 8

/ ` / ` ` `'` `

$ # *## 6+ ? # . F $ 8 E F 8 P F `8 / F $8 8 F 8 Æ3$ `4 F ` 8 Æ3 4 F ` 8 Æ3 4 F ` 8 Æ3 `4 F ` $

M !# +1

- 3 4 F

# ! " 8 # !

. # # - 6+ ? 8 !#+ #+5 + +1 # $ := ;D? #7A # $ 8 - 34 " O # $ 8 F 8 - 34 F :=O # $ 8 F 8 - 34 F ;D?

. # !# ;>: +' !#8 ' + - #5 # #!# # - a

. # 8 ! 6 ? A E F 8 P F ` 8 . F 8 / F 8 8 F ) 8 `

` 8 ` ) ` $ 8 ` 8 ` ` 8

8 ` 8 $ 8 ` % ` 8 % % 8 % ` ) ` $ 8 , 8 ` ` 8 , , 8 , ` $ ` 8 $ ` 8 ` ` $ 8

` 8

8 ` ` 8 ` 8 ` ` 8 ` ` D# ! 7 "# F 8 - 34 F # ' #+!' +1 "

# +# 6 ? , # # # - .8 ' - E8 !- P8 ! # # 5 / 8 ! # # / ? 8 ! ,

# E 8 #

` / ` /

J8

6 - ? 8 G @ 8 # # - #' "+#' 6 - ? #

)

. ##

# - 6+ ? 8 "+#+

$

## J # 8 # #+# +5 6 ? 8 "+# @ . # # - + 6+ ? 8 5 "+#+ F

. #+ # - 6 ? 8 5 "+#

; "! ( # =& % # $

0 /&#. . 0 #! 8 ! + # 5

- - 8 ! # " # 8 # $%8 #$ 8 # $ % 8 E # 6+ ? , #+ 7 A # . # 5 # / G ! # # 8 / G ! # # 8 +"" - ' # # - ): 3" - " ' 4 : 3- " ' 48 " # # # /& 8 " # $% Æ # # - /&-. 8 8 /&-. 8 /&-. #' Æ E 8 " / Æ / Æ / / #' Æ #$ # # - /&- /& E8 &- &- && # # - " !- # // // // // // 0 ' " # 6+ ? 8 #+# #+5 -# A # 8 " # # " 8 7 # " ! # # # 8 + " +57+ " + D# # 8 " 5 # #+ 7 A " !# " # + / # 8 " # " 7 # 8 $% " # # # 3 # #48 " # 7 # 8 # # ! $% 3$% # #48 " 5 #$ " # # # 3 # # # # !5 #$4 : - 1 # 8 ! # #" 8 " 8 # # " # ! # : @ " #' 8 " # # # D# # # #8 6 " 8 ' # #" # " 7 #+!8 # " +! # # # 8 # # 6 " ' ! # # +# " @ P F E ` >" " 7 ÆA

"

),

Æ3 / ` 4 F ): ` G # ! ' - # # ! # " O Æ3 ): 4 F ): #' , E8 /&- $ #' E #' # $ '8 ! 3#$ 4 8 /& $ #' # '8 ! 3# 4 O Æ3 ): $ 4 F &-. $ #' # $ % '8 ! 3# $%4 O Æ3 ): ` 4 F : ` G - 1 # 8 6 " !5 O Æ3 /& 4 F ): # G " + #O ` G Æ3 /&- 4 F /&#$ #! # # B" C O E G # B" C Æ3 &- 4 F /&- #' 8 "6 # # " O ` 4 F / Æ3 /&G # " " 78 "6 & " ! O 4 F / Æ3 /&G " # # - &" 78 " # # # O ` 4 F / # Æ3 /&G # "+# # # # &" ' #++ #+ 3 # $4O 4 F / ` Æ3 /&G ! " ++ " ' + # &" 7 " # O 4 F / O Æ3 /&& ` 4 F / Æ3 /&O & 4 F / Æ3 /&O & Æ3 /&- ` 4 F ): $ $ G # "+# # # $8 " # @ " 7!- " ' " O Æ3 /&-. 4 F ): $ " F % G # " # $ # %8 ! " +! #8 " ' - # # O Æ3 /&-. % 4 F /&-. ` G # " # $ # %8 + #+# + $% #8 " @ + # %8 # $O $ 4 F /&-. ` G # $ ! " 8 ! 7 Æ3 /&-. #+ # # + !-+O Æ3 /&-. ` 4 F /&-. ` G " 6 # 6-# #" !# # O Æ3 /&-. 4 F /&-. G " " # 6-# !# # 1O

Æ3 /&-. ` 4 F /&-. ` G - 18 " ! O

Æ3 /&-. 4 F /&-. ` G " #- " - # # 5

O 4 F / Æ3 /&-. G " - #+- # &-. # # " +-O ` 4 F / Æ3 /&-. G + " 78 # " #- 5 &-. " - # ## O Æ3 /&-. ` 4 F ): # $ G # # # " ' - 5 # #

$

?" # # " 8 #+# " " ' " + 8 # " +! # ! # Æ3 : 4 F : " F G # # !- # 5 # ! # 8 " # O Æ3 : ` 4 F ): ` G # 6 ! ! " 6 8 " ' + " + " ' +O Æ3 : 4 F // G # # # 8 ' " 8 !# # 8 " O Æ3 // 4 F // G # #" ! 5 #8 + " 1 -8 + " - ! # " - " ' O Æ3 // 4 F : O Æ3 // ` 4 F // ` G # #" "+# 8 + " 8 ! "+# #O Æ3 // 4 F // O Æ3 // 4 F : G # # "+# 8 " 7!- " ' O Æ3 // ` 4 F // ` G " " 8 # # # 5

O Æ3 // 4 F / ` $

. # 7 8 # # "+# # 6 - ? 8 "5 # ` / $< F ` / $<

> # " +! #

( #

% ) # $

) .

,"#"

+# . ; # ## #

&"8 # " 3 4

" # #

( ## " # &" &" # 34. . +# F 8 # " 8

E F *## #+ D G @ # 8 " " G @ # " !# " # - !# D# -5 6 "# # 8 " @ - 6 G @ # # 8 " +! " !' " 3# 7 " 4 . 6 "# # 8 7 6- 8 @ 6 # # # D# 6 "# # 8 + 7 "5 # + " 8 @ 6 # # # : ! # 5 + " # 8 # @ + # # # >! 8 ! # # # # 8 348 # ! #8 8 34 ># # 3 +7 4 1 # + *## " + 0# !# # 8 ' '# @ - 3 +' " 4 G @ # @ # # >1 +7 8 " +!8 ! - 7 5 ! ? 7 8 @ # ! 8 ! 8 #+5 # +

( ## % # &". % &" # ( # . . + ! : 5

+# + !+ + F 3 E 48

F 1

1

# ! " " # 7+8

$

D# F 8 ! 5 " 6+ + + 7 - 3 + + " + + +8 ! 7 - !# " 7 7 8 " @ + #! 8 ! + +4 +# F 8 F # # 8 F $ $ 8 ! ! "

# # 1 ! # 1 ! ! 1 $ ! 1

! # 1 ! ! 1 $ ! 1 $ $ $ 1

>! 8 @ ! " @ " + # D# F 8 " # +" ! A ! ! " # # 1 ! # # 1

! ! # 1 ! ! 1 ! ! 1 $ ! ! 1

$ $ ! 1 $ $ $ $ 1

## 06 ? , # #

E 8 P 8 / .8 ! / ` ` / ``

8 # #+#

+

' #

( ## %" # % &" # # #

# " # 0 /&#

&" .

9 * [ \ =' =8

Our partners will collect data and use cookies for ad personalization and measurement. Learn how we and our ad partner Google, collect and use data. Agree & close