Гуц А.К. Математическая логика и теория алгоритмов [pdf]

0?

IH

?

BA

I

03

D

RG:

@BS

M

G\D

H

@

P

Z

@DF

>

GHB

I

A

Z 2 @V LM G V2 G >7CH

0I

LZ @? Q\ E @Z 2GBO

				5
				5
		`
				5

F< ^V B G LMIF LMSI @HC 2 G\D G H > 2I @ LS P BH 3

			5
	5

>CH I

0N

\W

^[VJ

H

X

O

K

W

RO

K

H

V

^XL

K

\HWN ` U

"

#

"

H

^R Sb WX KP V O P S HPX M J O KP W G MW XN G J P

W

^J

Y

NP

`

M

X

H

V

T

HG

N

M

S

K

V

K

^M

Q

MH

^XO a e

X

KL

\HWNP

`

J

W

JV

KT

MH

XO

HG

MW

XN

G

J

d

^J

Y

N

`

Z

,

-*

,

-*

,
	^M
	bX
	c
	J
-h	W
	WG
O	WM
cH
	NX
H	G
	J
V	P
J	W
^
Y	J
N
`	^
U	Y
	PN
	`

"W

N

Y

\MN

^H

V c WJ H

##

M I @ S > LZ G @? B/ IH R& \M G? F LN P S M Z @ 2 < ?I M M $@ S Z VH 2 @ ?I 2C M G S > H 2I @C LS 2 H G @ > LMI 2I

LS

BH >7CH N I >7CH

0 I

3 0NYZI 2

?

2G

3 [P<

LDI

S

AN

M\

		5
		5

					5
			5
						5
			5
			5
		`

Y3

[

^V G LMSI G\D H

@

P

		C
>H
	0
		I
	N
		5
	Z
	2

I? M S H @C 2 G

>

2I LS BH 3

@M

$?

>

Z 2

?I

M

S

H

@C 2 G

>

2I LS BH N >7CH I N

03

	7		M
		C
	>H		@
	0
		VI	A
			H
BF
			GM
			P
			@
			C
		5
			>H
			7
			I
			N
			0
	5
			LM
	L		2I
			@
		Z	M
		?	N
	@		I
		\	L
			A
	Q
	E		Z
		?
			MI
		Z	2
			?
		MI	S
	2		H
		S
			@
		HV
	@		C
			2
		C	G
			>
	2
	G		2I
	>		L
			S
	2		HU
	LI
		3	T

5

5

5

				5
			`

		5
		5
		5

B

L?1

@

R

GD P

		C
>H
	0
		I
	N
		5
	Z
	2

I? M S H @C 2 G

>

2I LS BH 3

UPX

M

O

M cU ^L \K cH SH HJNV ^J Y NP

`

NV

\HX ^cJ KL JP K Xb aG X KL \NNV XN O J \K Y ^H \MN O J

H

^J

Y

`N

P

O

P

SB

b

IH	?	S
	V		G
	@
G3			M
	7		L
	C		S
			>
	>	@
	H
	0	M GM
	I	GAI	@?
	N
		L	F
	S		>
		H	P
	D	G	M
	GM	&?
		@ @
	N
	L	GM
	I
	H	/	&?
		U	@
	M	\M
	>I		GM
	S	C	U
		R
	U
	H @
		B \M
	?	A	I
		H
	P	I	/
	M	O	LM
	3
	G	BA	H
	@		V
	>L	M	@
			F
	M	@1	B
	S	F	LMI
		P
	>		F
		M
	G	@	HV
	M
	L	Z	@
	2	H
		N
	1	I
		M C
	@		>H
			0
	G	G	7
			I
		US
	Z	F	V
			G
	2	I
	R		3
	GO LO
	D	D

@A?1

H

@F&

P

M

@

Z 2

@

0GL

BH

T

@

R&

GHI

N

H

G

>

R/

GM

BA

S

2G

P

GH

@

$M

L@

O

M

Y WS

Y

W [ \KNX V aWL K

X

K

^KIV

Q

L

H

\N

JP

X

KZP

O

P

S

HPX

M

[N

L

KX

H

R

W aNVJ ^HHP V W

L

W

KJ

V

N

V aG X KL JP K XN HO G N M SN V MK XN MOP RO WS MbK M L JP K XN H V

R

WS

KT

^HUJO

X

\KL cH SH J HN \HKL

`

cH

^

\N ^d

!

"

#

X SHb J KO aJ N V WX SHb J Z J W WSN R L \K cH SH J HNPXN

d

^J

Y

N

`

Z

O

P

O

P

S

HX

UPX

M

O

G

N

M

SN

V

NV

X

KG

MW

XN

G

J

\K

Y

^H

\MN

O

J

H

^J

Y

`N

HZ

M

XO

NB

L

H \HbV O

MK

XP

KJ

N

KXO

HXN Xb J WO L \KMK aYY WN

H

^J

Y

`N

P

O

P

SB

#

Xe K J R G W J HN cH P S

,

-

,

-*

N

W

VJ Hb i

H ac P S Y KX \KK[

,

-

,

-

,

-

HZ

M

XO

N

X SHb J aKMKL S cH O K WX SHb J KJ W d cKN V

O

J

W

WY

Y

W

L

KM

S cH O K WX SHb J

Z

WS

[

\KNX

NV

G

MYH

N

Z

\KL

`

MH

]

\IWXN

VO

J

N

VJ

WN

HJ

W

X

K aG X K NV J N NV R WNP

`

V

KT

HX

I Xb \K

[

J

WN

RB

K

^J

Y

NP

`

,

-*

*

J

P

W

^J

Y

NP `

L

\NV

\H

N aJL W \NV \H aJ N

[

c HJ H L \K cH HS HJ P W

MN

O

J

d

^J

Y

NP

`

O

M

KXO

M

HX

O

N

M

L

\K cH SH J HN H VL L K cW W UX G MW XN GB

\Y

^H

\MN

O

J

KZ

]

\IWXJ

KJ

H

O

\HJ aKMYKL KSb Y ^O Y S

MW

G

MW

XN

G

J

\K

Y

^HB

\

WT cP W L \NNV XN O J \K Y ^H \MN O J P

W

^J

Y

`

NP

O

P

S

HPX

M

G

MW

XN

G

J

K

^J

Y

N

`

Z aNL K

X

K

^HVJ

W

RO

W

UX

\MKL

X

K ' " !#

!"

"

G

MW

XN

G

J

d

^J

Y

N

`

Z

^J

Y

NP

`

L

KS

^G

W

HPX

M

X KSb Y KN \RMKL X HZ i N d

M

SN

*

aX KG MW XN G J \K Y ^H \MN O J P W KXJ KMN X HSb J K JV KT MH XO W

J

\KZ

Y

^H \M

N

NV

J

N

NV

R

`

WN

J

G

HJ

V

G

N

M

S

K

V

L

K

\HWN

`

Z

L cK M X J W O KY

N

M

^L

\HKNL

R

`N

aL \NNV XN OB

L

KS

^G

W

HPX

M

N

R

^J

Y

N

`

Z

JV

KT

MH

XO

W

N

\KML

X

HZ i N

d

^J

Y

N

`

Z

KYB

	"
	'	WM
		NX
	"
		P
		G
		J
		W
	'	J
		Y
	#	PN
	"
		^
		`
	"
	(
	#
	'
	'	J
	"	O
		W
		R
		W
	!	HXP
	"	M
		'
	"
		!"
	HM	#
		!
	SN

b

B

2

I

BH

\

E.

2I

BOH 1 @B LM 3

dP cK X cKJ O \KH VJ H K

J

NP

MK

XP

KJ

NP

O

^J

\HXJ

HZ

L

P

W

V

XN

MK

XP

KJ

NP

G

HZY

N

\L

N

K

MB

O

MK

XP

KJ

MN

X

N

K

X

J

L

\WKXN

O

P

G

HZY

N

M

J

K

V

\HK aV

X

KN

R

VJ

HHB

U

Q

H[

KM

K

XP

KJ

NP

O

J

Hi

J

HZ

N

O

^J \HXJ HZ L P W V XN M SN

[

KS

O

KY

W

" H dJ WN G MYH

K[ ^M \KZX M XO aWL \H cHO N

[

W

U

Q

H[

K

[

KS

O

KY ^N VJP HB

V

KP

H

G

HZY

N aJL \WKXN O Y KX \KKZ J K W MK X J W O W SN O W HPX M

KS#

O

KY

N acO N

[

W

U

Q

HZP

M

O c KSb S J H X N MG N X O W U Q HZ M cK \H T NB

Mf X gL K

QN

Od

JV

KT

MH

XO

K*

!KM

XP

KJ

N

H

J

W

RO

W

HPX

M

^hJ \X

J

H

HZ

L

P

W

V

XN aL \N J N V W U Q HZ cKJ KN RM K XP KJ N Z aO dP cKB

P

J

N

H

J

W

RO

W

HPX

M

'

!

cKJ K VN X KSb Y KO cKJ K VN RM K XP KJ N Z N R JV KT MH XO W !MK KXB

O

JV

KT

MH

XO

K*

G

HZY

N

S

J

H

X

J

W dP cK PX M O

D hJ Hi J HZ L P W V XN aL \N J N V W U Q HZ cKJ KN RM K XP KJ N Z aOdP cK QN d

J

H aX \W INR X KZ J WY J K G HJ K HG N M S P K G HY

Wi"

N

J

W b U \N J W[B MK XWMK X N K X N RM S cH ^U QN d Gf MW X g HZ

WS

[

\KNX

VJ

H

RO

WN

MN

V

K

S

J

W

K

V b U \N J

[

K

VN

NV

S

H

V

MK

X

K

V

Wi"

N

J b U \N J W[B MK WXe

X

KL

\NV

\HWS

[

\KNX

V

W

\N c ^VJ W

X

KX

"
*	"
	)
(
$

	#
			!
	'	!
	"
	!
		'
	#
		"
	!	!
	"
		"	!
	!
	"	"	'
	"		#
		#'
			"
			!

b%

,

-

,*

-

N

,

-

,

-

X

\K

K[

c ^N

`

\O

K

WJ

K

H

M

S

O

K aKMH SN cP S J Y H KX \KKZ \L \K[W

V

N

J

Y

HKB

cH ^N

`

\O

K

WJ

K

HM

S

O

K

K

L

\H

\HWI

WX

O

W

HPX

M

V

Wi

N

J

KZ

\HOB

M

S

O

K

K

J

H

VN

R

M

S

O

K

W

I

^Y ^ON

I

^Y

O

N

RKS ^G W H \V cH ^N

`

\O

K

WJ

K

H

^M Xb

V

Wi

N

J

K

H

M

S

O

K

KO

WS

O

WN

X

H

V

Wi

N

J

h

G

\HYB

O	V
W
	Wi
	N
	J
	aM
	L
	\K
	O
	K
	KT
	c
	W
	U
	Q
	P
	MH
	L
	\H
	cH
	HSY
	KZ
	N
	M
	d
	cKJ
	K[
	V
	Wi
	N
	J
	K[
	M
	S
	KB

cK O K cR HZ M XO N H \VL \K[W

V

\L

N

K

M d cKN X N R VJ H J HN HM K XP KJ NP

M	i
K	N
	J
PX
KJ	K
N
P	V
H	M
	S
G	O
HZ	K
Y	H
N	a
	X
	Y
	W
	Y
	Y
	W
	\ML
	O
	W
	W
	KX
	J
	H[
	K
	c
	SK
	T
	J
	K
	I
	bX
	M
	G
	N
	X
	O
	W
	H
	V
	K
	H

V

KT

HX

I Xb M W V V S O H V aKJJ H V KT HX I Xb M W V \VL O W VO WVB

N

J

W

RO

H

W

V

"

!

O

WS

O

WN

X

H

! NOV

KS

!MK

XP

KJ

N

H

V

Wi

N

J

RL

WN

M

O

W

H

VO

N c H

N

J

K

V

\HO

KML

\N

J

N

V

W

H

V

KZ

G

N

X

W

H

V

KZ

P

G

HZY

N

O

MK

XP

KJ

N

P

G

HY

S

J

H aMKX XP KJ N HO ^J \HXJ HZ L P W V XN

[

KS

O

KY

N

'

"

#

"

!

Xe K L MK S cH O K WX SHb J MK Xb

MK

XP

KJ

N

Z

J

K

G

HJ

Z

J

WI

K \Y K VJ W c \KIW ^RHX

! !

M cO N

[

W

HPX

M

O

S

O

H

KN aJY W J K H `O aX \HXb He V O \L O W K

	J	P
	W	G
		HZY
	a	O
	P
	W	^
		M
	G
	HZY	K
		PX
	N	KJ
	J	N
	W
	O	aX
	a	O
	KO	K
		L
	X	\HO
	K
	\	K
	K
	V	V
	M	M
	S	S
	G	G
	^	^W
	We	H
	H
		J
	MO	K
		W
		V
	K	PJ
		H
	H
	M	HX
	K
	PX	MO
	KJ
	N	K
	HJ	H
		KM
	W	PX
		KJ
	N
		N
		H

! V

M

S

Y

K

VJ

W c X Y W O K

MH

SN

[

KS

O

KY

WO

MK

XP

KJ

N

KI

K

\R

O

H

W

HX

\NX

K

VO

M

H[ c W M W V K H S O H K HO RL WN MN Y K VJ W

c

*

[

c He

X

K cO N T J HN H

[

KS

O

KY

N

O

S

O

H

KJ

W cKJ ^PG ^HZY aWe

O

\L

O

W

K

N

V

HX cKN J N RM S cH ^U QN d \HX Od K R V KT J Od N c O K

Y

K

VJ

W c aY KX \KHO L KSJP HX V H dJ WN G MYH K H ^M \KZX M XO

K "

WI

KX

W

V

Wi

N

J b U \N J W[B MK X

W

^MK

Q

MH

XO

P

S

HPX

M

L

\MK cH M XO K V

b

	'
!
	#'
	!
! V
D
%	#
a
k
D	"
&
	!
	"
	'

"

'

" !#

!"

"

#

! !

V

%D

akD

&C

"

#

"

!

' '

' " !#

!"

!

#

'

"

"

!!

#

"

!

!

"#

X

K

[

O

K

\KNV aG X

"K

!

"

"

#

,

-*

,

-

*

a

KI

S cW W HX MO KZ M XO K V

NP

`

aL \K cH HS HJ P W J WM S O K W Jd Y H KX \K \K[ cH ^N

`

\O

K

WJ

K[

WS

O

WN

X

W

M

SN

,

e

- ' "

"

!

"

aX

H

^J

YB

*

,

-

! NOV KSN G MYH N

,

-,*

-

N

,

-

,

-

N

`

\O

K

WJ

K

HM

S

O

K aKMHSN

\K[

\W

V

W

L

\H

\HWI

WX

O

W

HX

V

Wi

N

J

K

\HL cH S KT J HN \HO cHB

^

[

c H M

S

O

K

WO

M

S

O

K

\WH

"

# !#(

"

#

#e

X

KO

\WT

J

HN

HO

N c W

X

K

[

O

K

\KNV aG X K V Wi N J

W

!

, '# -*

" ,

-

O
N	SW
X
H		O	^M
	WN
		X	bX
	W
			,
			J
		*	-
			^
			Y
			PN
			`
			a
			L
	M		\K
	SN		cH
	c		HS
		P	HJ
	S		P
		Y	W
	WT		J
	c		W
		[	M
			S
	K		K
	M		O
	S		W
		O
			d
	K		\
	W
			cH
		O	^
			N
			`
	X		\
	K		O
			K
		V	WJ
	SW
	WB		K[

O

\WT

J

HN

H

,P

-O

P

S

HPX

"M

#

!# "

!

X

K

[

O

K

P

\KX aG X K V Wi N J

"

W#

!"

#

Y

M

S

O

^K

h

X

K

V

M

S

^G

W

H

,

-

M

SN

J

N cP S Y Y W

K[

J

^WX \WSb J K[

J

HO

L

KSJP

HPX

M ^M S O KN H

*

,

-

-

! NOV

KSN

G

MYH

N

Y

W

X

L

\H \HWI KXY N M S O K W

RL

WN

M

O

W

H

VO

N c H

b

		5
		`

DI

5

5

B

2

I

H

@

G

LD

@S

<

$MF

@I

LD

@

3

D

RG:

@BS

M

GD\

H

@

P

`

	`

`

`

UF I1 LD GIH

	`

2

@1 B

B?

		BF
	3	\
		D
		H
		@
		G2
		?
		B
		I
		H
		@
		G
		L
		D
		S
		@
		5
		3
		M
		@
		BZ
		2
		F
		I
		L
		G
		D

		1
		U
		F
		I
	L
	D
		?
	7C
	>H
	0
		I
	E
	5

3

		5
	`

DI

5

5

B

2

I

H

@

G

LD

@S

<

$MF

@I

LD

@

3 D RG: @BS M GD\ H

@

P

`

`

`

`

UF I1 LD GIH

`

2

@1 B

B?

BF

D\

H

@

G?

B

I2

H

@

G

LD

@S

5

3

MF

@I

LD

@

3

		1
		U
		F
		I
	L
	D
		?
	7C
	>H
	0
		I
	E
		5

3

	*
	*
	*
	*
	*
	*
	*
	*
	*

M

S

O

K

P

\W

hO cKN V M S cH ^U Q \HL cH M X O W S J HN HJ ^WX \WSb J dG N M SH

O

N c H M S O K

*

*

	\N
SK	O
	cH
[	H
W	V
H	L
	N
V	\V
	\H
	O
	G
	N
	M
	S
	J
	HN
	Z
	J
	W
	V
	Wi
	N
	J
	H
	b
	U
	\N
	J
	[
	WB
	KM
	X
	W

#

b

V WXN G MYH KZ S K[N Y N

c Y K

WR

S

\P c O WT J d cP S Y N I \HHXNJ Y N L KS KT J HN Z O KI S MW XN V WXHB

V

MK XNg N O f O cKN V MK XNg ML KSb P ^RM d H ^WIV M \X Y W XJ KZ V Wi N aJ

J

N

S

MOP b R KI Q \H Y ^H \MN O J

d

^J

Y

N

`

Z

M

KI

QN

NV cP H NV O f G N M SNB

O

G

N

M

S

J

HN c RHXWB ^J Y `N N VJ W W h E

[

cK ^b U \N J

[

O

P

MB

WX

O

KI

S

MW

XN

\WL

Y

K

MN

V

`

WN

\[ ^L N Y J K G HJ NV \[ ^L WN V N

J

V

V

Wi

N

J

W

V

\K

V

H

X aKH[ ^V L \N J cW S HT WX KX c SHb J \HH ^R SbB

[

WO

MJK

O

KJ

K

VL

MOPK

Q

J

H

V

WX

H

V

WXN

G

MYH

KZ

S

K[N

Y

HN

O

G

N

M

SN

X SHbB

EWI KX WS MJ G W WS W X W V T H" WX H V WXN G MYH N \HWI KX b U \N

JB

E

cKN SP M

O

J

K c J K H ]Y J K G N S

H

IV

\N c T MY N Z ^J N O \H MN HX

T

J

H

\H

N

V

WX

H

V

WXN

Y

S

J

H

J

K c J K MY K[ Y \KKS O H MY K[ KI Q MH XO W

S

J

W"

WXN

M

J

K b U \N J

[

D

E

DB

F

E

Je W

[

SN

Z

MY

N

Z

N

JB

' * "

)

b U \N J W[B MK X W ^M Q MH ^HXXO

^IUO

G

N

M

SN

^V

U

^J

Y

N

`

UY

K

WRJ

K aG X K ^J N O \H M WSb J P W V Wi N J W

^J

N

O

\H

M WSb J P W V Wi N J W b U \N J W[B MK X W ML MK IJ WO G N M SN Xb S UB

J

G

W

H

[

O

K

P

\K aM ^G HX K V X HN R M W b U \N J

[

W

V

KT

J

K

MY

WR Xb aG X K

b U \N J W[B MK X W

SN Xb S U ^I

U

^J

Y

N

`

U aKXY \KWP O G N M SN V WJ WY Y W KZB SN I K V Wi N J H

V

KT

HX

L

\NL

\K cH SH HJ d J G W WSb J d O d cKJ d c WJ d O G N MB

Wi"

N

J

W b U \N J W[B MK X W J W RO W HPX M

"

#

! "

a"MH SN J K W

!

'"

"

"

!

'

!

#

!

!

#

'

"

!

#

"

J

HL cK \H T N O W HPX M M \K[NX V c Y K WR X SHb M XO K aVeX

%K

C akD

&

^J

Y

NP

`

X

O

\H

T c J HN aHKXY \KK H d KX SH MbK I M c SH WXb aKYJ KX \KK H

T

N

PX

M

SN

O

X

K

\V ^MW T c J HN KXO HX J W X K aG X K X Y W K HO G N M SN PV W

L

MK

S cHJ N HO G N MP S UPX M J W V Wi N J W d b U \N J W[B MK X W aX KJ HM cK \HB

T c J HN H

MH

SN

O

G

N

M

SN

V

H

^J

Y `Ne

X

KG

MW

XN

G

J

\K

Y

^H

\MN

O

J aHW

h ML KN V J P W X HN R M \HG aWMH X MH XO HJ \KL O K MH XN M S cH ^U Q \H ^MWB

b

	/		'
		C
	D		@
	@.
		\	LB
	E
			M
		I	\
	2		G
		H
	B		B
		1
			^
		3	I
	< D
			R
			@IS
			F
			B
			3
		3	B
			?
	43		C
			GM
			I
			/
			@
			I
		6	C
	!		>
		<	LM
	!		S
			GH
		3	@?
		:
			I
		6	H
			M

DC

GM

CN

UJP

E

[

cK W S J W" WXN M J K b U \N J

[

aYO W WS \HK \c J H W

\NB

RL

WN

MN

J

HM

K \d J WN SN Mb

\MH

Y

V

HX cKN Y HL MN d KJ W WSN R W

J

[

WN

RL

WN

M

O

W

HX

O

M

HMO

N

K

MJ

XN

X

H

\KN

KXJ

MNK

X SHb J MK XN K[ c W T H J K L \KPO P S HX M \HHJb R Z N J HXB

X

O

K

S

H

VJ

H

X \WJdG MW `XNe N \WI KX W HX J cW J Y H KX \KNV O L \KMK WN V

L

\HN cK J \KW \RWI WX O W HX Y O J W X O ^KU X H \KUN ML N J \K O Ke Y K LV J K J HB

L

\HNVJ

H

X

Y

MW

SN \MbWJ N d cf HX MY N g d ^SO G H J HN Z b U \N J

[

WO

X

KX

\HN

R c J H ^X \_O J

[

SN

KJ

HN

MY

S

UG

J

H

K aG X KO G N M SN X SHb J HY MB

M

XO

K

W

X

\KXWO

R

`J

H

\HXO

J

N

VJ

WNP

I

SN i

N

\M_

O

K

HX

MY

KZ

S

G

H

SN

X

KZ

\K

[

J

WN

R

WN

`

HZ b U \N J

[

J

\HL

Y

\HW

Q

WS

M

\KX ^cJ N HGB

\L cK KS T O W i \HZWI KX L K c Hi\N O KY aHJG W WX HO \KO P H V O KZJ O

L
		H
		W
\X
		W
		V
		J
		H
		X
		Y
		W
	cK
		O
	K
		Ke

\[ J WN R WN

`

a

N b U \N J ^[h K R V KT J aKX K I SN \WI KX cP S \L O WN X HSb M XO HJ

K[

J g H O G N M S J HNP

X

K

H

Q

H

MG

N

X

WS" f \WYgNe O R MH XJ K X KSb Y K H ^V

X

SHb

M

XO

WX

K[ aG X K b U \N J

[

\L

O

K cKN S J WJ H NV J f MH J WY N

`

J

\KN

O

K

J

WB

O

J

W

L

\MN

K cR J WN J W

[

SN

Z

MY

KZ

WX

KJ

V

KZ

I

K

IV

!K

\d J WN SN Mb MO N cHB

!	L	R
		cW
^MP		G
	X	W
	J	HZ
		O
	HMY	aL
	SKb	SK
	Y
		PJ
	K	O
	S	i
	HX	HZP
	J	M
	K	J
	I
	S	W
	N	f
	ML	"
		WY
	SKb	\Hg

RB

K Y<O

=

<

<

[>=3

Y

W

I

S

J

H cHN J M XO HJ KZ N J H

[

S

O

WJ

KZ

K

3

\

E.

2I H 1

J

K

G

HJ aK \MWG HX Y J

K

N ^[ \WN

`

O

`

HXB

XN

\KV

T

N

O d ^M Q MH XO

V

WX

H

V

WXN

G

MYH

N

H

RY

W

J

K

K

V

\HMKJ

XN

\WOO

RNB

J

^WG

J

K

V

^J

L

\W

O

W

S

J

HN aU L \K cH P SH U Q H ^V

L

N i \HXWI KX ^L KO L \KMK W

V

\KK[

J

H He R W

V

\KIW

RO

K

J

^WNP

\MW

X

J

HN

Z

\N

Y

W

O

KN

J

]J

X

L

KJ

SHN

J

HZJ

K

^VV cK \SHN O K J WN

U

\KB

HX

L

\HHOO

G

N

M

SN

X SHb J H Y ML \HNVJ HB

\O

K

aNb U \N J

[

J

G

WN

WJB

L

KSJ

MK Xb \UWI KX MKL

KM

IJ dY K LV b UHXB

P

M

O c HZ M XO N H cKN J N RL \HOdO \HNV

WX

\HWO

RN

XNP

\KYL

H

X

W

O cKN XB

h" J W G MH X \HHO E

[

cK ^O \H ^R SbB

H

VJ

K

VL

J

KN

VJ

WN

X

K[

M

S

O

K

W'

\WI

KXY

WM cK \H T WS WL \HKO HL cK \KIJ K H L KN M J WN HY K LV b UX \HWO M O \KHB

N

RSN i J HM W VJ K cWP HJ VN J HL KS ^G N S cK \KI J HNP

K

^M aXN \WXB RW

			e

aRY W J K G HJ Z O E

[

cK

^

aI S L \NJ R J W

\KYL

H

X fO W X K V WXN G MYH

K[

O

G

N

M

SN

X

SHb

J

K[ ^M \KZX M XO g

Wk

N

`

J

K WSb JKZ N N RG MYH KZ S WI \KWX \KN O cW

N

J

[

X

J

K

H c] J Y W K H[ K

J

HO

K

R[

S

O

WN

\SWI

^KX

L

K

M

K cR J WN UO G N M SN X SHb J d V Wi N J WOB

h \KO P H V O X \KKZ \NV O K KZ O KZJ RJ WN V WSP M S

Y

H

\X

J

KN

Y

KZ aKL cRB

b

			@
			?
			B
		3	GI
	:		2
			B
			D
		9
			?
		6	V
	4
	7		LB
		3	8
			M
8
		6
		9	:
			9
			6
	5
			7
	7
	4
			7
	7		4
			9
	4
		3
		:
			4

		k

>

		k

?A

		k
	a

k

				k
	k
	k

		k
		a

		k
	a
		k

S
HX
H[
	N
\K	V
	Sb
cKN
X
SHN	HJ
	K
N	MK
V
[	X
\N	\
\	cKN
O	SP
K
SWN	M
O	O
	SKb
b
UB	i
	O
	H

K
\Y
	E
	C
	F
	[
	h
	O
	K
	\R
	WM
	X
	H
	M
	H
	N
	V

!" ' ($

@? C.

>

P

M

@

ZI 2

?

GM

A

BH

I

N 2? G/ N YI D Z @MC V LG S M G? N [3

	B		S
	?	G C
	U
	3		:
		@	G
	L		2B
		LMB	E
	G	H
	D	@IS	VI
	S		Q
	L
	V	M
	@
	G	Z	S
	Z\
		2	L
	U	@	GMB
		LM
	G
	L	B Z
		2	@CM
	C H
	@M	LM
	2
		S
		I
	@	@
		S
	GM
	@	2
		G?
	1	N
		3

G

2S

R@ 3

	I		J
@			RI
	2 2		S
	?	@H
&
G		AB	M
LM	G	N
S			G\
GH	1	Z	D
V	@		HU
	I	2	V
@	P
		@
Z\	@H	LM
		B	S
	/	2
U	PU	H	L
			GM
G		LM
L	M\		H
3		S
	&?	B	G
		A	Z
	@	S	C
			G
		3	2
		U
	C	G	B
		L
	G
	P		Q
	@M
			GM
	2		CS
	@
	GM		G
	0
	L		SU
			@
	BGH		T
	IV		C
			LI
	2
			BM
			HIV
			P

G

2S

R@ 3<

	6
				76
	5			9
		7
	7			8
				7
	7 7
		4
	4			5
	76
	5			7
				8
		4
	7		9
	9
	:	4
	3	7:
		7		9
			9	:
		8

5

76

9

4

7

7

7

4

9

8

c] J KN d M XN d KXO \K J HN Z b U \N J

[

W

M c P MH XN S HXJ H[ KO K \RMW X W

S

KT

Y

N

N

NV

G

MYH

N

H

Y

ML

\HNVJ

H

X

I

SN

H[

K

S

U

IN

V

V

^SO

G

H

J

HN

H

V

\HY

W

XN

O

L

K

X

W dL K S

Y

H

\KSXN

XN

G

MYH

K

V ^J J W MH J N UL Y K \_XNP J W

J

KP

H

I

S

Y

K aKWYJ KX \KK H I S J J W MH J N

`

J

WN c ]J N ML KSb RO K WS

X

KX

M

X

Z

Y

WSN

Z b U \N J ^I[ S

[ cK P c K V I S KJ WZ c J H KJ cWY ^M J WB

^KXVG ^HX aL

\

cHL KS KT N X SHb J K R W c J Hb c K

X

K[

J

L

\N

JP

S

N

`

J

WNB

J

WZ c J H V \H XO VO L MK X ^SHMN P IH c K V WO hN S MV S ^KKL KSN

`

HZ

MYKB

JV

K[N

\HWI

KX

Y

KX

\KK[

I

SN

L

JP

K

X

X KSb Y KOFB d

[

cK W d

aI S

X

J

W

MY

KZ

N

LV

\HN aSG J H

\KKS

O

H

MY

K[

^G

J

H

K[

I

Q

MH

XO aWV WX H V WXN aY

b

T

N

J

RN h E

[

cK ^MK ^XV \HKX N

J

\WYX aWMWJ XN

[

i H[ K H[ KL MK S H

MK

X

I

\KKSP

M

M

VJ

WN

Y

W WSb J KZ c L \HMH N HZ O X G H J HN HO M HZ MO K HZ

k
a

	k

k
k
k

				k
	a
			k
				k
				k
				a
	k			k
				k
				a

	k
	k

k

		>
	k
	k

?

k

k

ke

>
E
		k
k
		k
		E

a a

a

		a

	k
			k
	k
			E

k

k

k

>

		k

E

D

B

E

D

k

k

k

B

k

k

Y<O

=

<

[>=3

	k
	k
	k

% 3

@

LM

		k
		k

				k
	k
	k

		ak
		k
		k

						E
						FB
						E
						D
									E
				k
k

		k

	@			A
?
				@
k
E
F
a
			k

		?
			k
		a

k

	k
	a
				k
	k