ࡱ > u' \ p A0103@> B a = = K L,#8 X@ " 1 " A r i a l C y r 1 " A r i a l C y r 1 " A r i a l C y r 1 " A r i a l C y r 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n 1 " A r i a l C y r 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n 1 . T i m e s N e w R o m a n / # , # # 0 " @. " ; \ - # , # # 0 " @. " 9 # , # # 0 " @. " ; [ R e d ] \ - # , # # 0 " @. " ; # , # # 0 . 0 0 " @. " ; \ - # , # # 0 . 0 0 " @. " E # , # # 0 . 0 0 " @. " ; [ R e d ] \ - # , # # 0 . 0 0 " @. " k * 3 _ - * # , # # 0 " @. " _ - ; \ - * # , # # 0 " @. " _ - ; _ - * " - " " @. " _ - ; _ - @ _ - k ) 3 _ - * # , # # 0 _ @_ . _ - ; \ - * # , # # 0 _ @_ . _ - ; _ - * " - " _ @_ . _ - ; _ - @ _ - { , ; _ - * # , # # 0 . 0 0 " @. " _ - ; \ - * # , # # 0 . 0 0 " @. " _ - ; _ - * " - " ? ? " @. " _ - ; _ - @ _ - { + ; _ - * # , # # 0 . 0 0 _ @_ . _ - ; \ - * # , # # 0 . 0 0 _ @_ . _ - ; _ - * " - " ? ? _ @_ . _ - ; _ - @ _ - # " 0" ; " 0" ; " 5B" 5 " AB8=0" ; " AB8=0" ; " >6L" ) " :;" ; " :;" ; " K:;" Y * [ $ - 2 ] \ # # # , 0 0 0 _ ) ; [ R e d ] \ ( [ $ - 2 ] \ # # # , 0 0 0 \ ) , * + ) ! 8@ @ 8 @ 8 @
8 8 @ 8 8@ @ 8@ @
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8 8 @ ! 8 8@ 8@ @ 8@ @ 8@ @
8@ @ 8@ @ 8@ @ 8@ @ 8@ @ 0@ @ 8@ @ 8 @ 8@ 8@ @ 8@ @ 8 @ 8 @ 8@
8@ @ :0;L=0O A<5B0 Constr: FOT: Ind: Obj: Obosn: SmPr:
; `i ( =0820=85 AB@>9:8) ( ;>:0;L=0O A<5B0) 3 ( =0820=85 @01>B 8 70B@0B, =0820=85 >1J5:B0) ! ?? 0820=85 4. 87;. !B>8ABL 548=8FK A53> A=. / ? B>A=>20=85 1I0O AB>8ABL / ?5E "/ 7 >A=.
@01. =0 54. "/ 7 A=.
@01.
A53> "/ 7 A=>20=85: -:. 0H !8ABL @C1. !@54AB20 =0 >?;0BC B@C40 @C1. " 0 1 - 0 1 - 0 3 0 - 0 1 J !=OB85 ?>G25==>- @0AB8B5;L=>3> A;>O 75<;8 A ?5@5<5I5=85 2@5B20; 1 0 0 0 <3 3@C=B0O @8 ?5@5A;54CNI85 1 0 102;OBL : =>@G25==>- @0AB8B5;L=>3> A;>O 75<;8 A ?5@5<5I5=85< 87 2@53> >B20;0 07@01>B:0 3@C=B0 2 >B20; M:A:020B>@01@0B=0O ;>?0B0" A :>2H>< 2<5AB8ABLN 0 , 5 ( 0 , 5 - 0 , 6 3 ) 2 3
1>A=>20=8O :>MD- 2:
3 . 3 7 07@01>B:0 3@C=B0 M:A:020B>@0B:5 B@0=H59 ( * 1 , 2 ; -* 1 , 2 ) 9 " 0 1 - 0 1 - 0 0 3 - 1 5
* 1 , 2 ; -* 1 , 2 ; * 1 , 2 ; "* 1 , 2 ; "* 1 , 2 07@01>B:0 3@C=B0 2@CG=CN A :@5?;5=8O9 4> 2 9 4> 3 2 3
1>A=>20=8O :>MD- 2:
3 . 1 8 7 >@01>B:0 2@CG=CN, 70G8AB:0 4=0 8 AB5=>: A 2K:84:>9 3@C=B0 2 :>B;>20=0E 8 B@0=H5OE, @07@01>B0==KE 20==KA>1>< ( * 1 , 2 ) d 1 0 0 B:0 3@C=B0 2 >B20; M:A:020B>@01@0B=0O ;>?0B0" A :>2H>< 2<5AB8ABLN 0 , 5 ( 0 , 5 - 0 , 6 3 ) 2 3
1>A=>20=8O :>MD- 2:
3 . 3 7 07@01>B:0 3@C=B0 M:A:020B>@0B:5 B@0=H59 ( * 1 , 2 ; -* 1 , 2 )
3 . 4 6 07@01>B:0 2O7:8E 3@C=B>2 ?>2KH5==>9 2;06=>AB8, A8;L=> =0;8?0NI8E =0 AB5=:8 8 7C1LO :>2H0 >4=>:>2H>2KE M:A:020B>@>2 ( :@>2 5 - 6 3@C??) ( * 1 , 1 ; -* 1 , 1 ) > " 0 1 - 0 1 - 0 0 3 - 1 5
* 1 , 3 2 ; -* 1 , 3 2 ; * 1 , 3 2 ; "* 1 , 3 2 ; "* 1 , 3 2 u 07@01>B:0 3@C=B0 2@CG=CN A :@5?;5=8O9 4> 2 9 4> 3 2 3
1>A=>20=8O :>MD- 2:
3 . 1 8 7 >@01>B:0 2@CG=CN, 70G8AB:0 4=0 8 AB5=>: A 2K:84:>9 3@C=B0 2 :>B;>20=0E 8 B@0=H5OE, @07@01>B0==KE 20==KA>1>B:0 8 >1@0B=0O 70AK?:0 2@CG=CN A8;L=> =0;8?0NI8E =0 8=AB@C " 0 1 - 0 2 - 0 5 5 - 0 9
* 1 , 3 8 ; -* 1 , 1 5 ; * 1 , 1 5 ; "* 1 , 3 8 ; "* 1 , 1 5 " 0 1 - 0 2 - 0 6 1 - 0 3 @ 0AK?:0 2@CG=CN B@0=H59, ?07CE :>B;>20=>2 8 O2 3 " 0 1 - 0 1 - 0 3 3 - 0 3 u 0AK?:0 B@0=H59 8 :>B;>20=>2 A ?5@5<5I5=85 5 75@0<8 I=>ABLN 5 9 ( 8 0 ) :B ( ;. A. ) , 3 3@C??0 3@C=B>2 " 0 1 - 0 1 - 0 3 3 - 0 9 N @8 ?5@5A;54CNI85 5 102;OBL : =>@B=5=85 3@C=B0 ?=52<0B8G5A:8<8 B@02:02 3 , 4 1 0 0 B=5==>3> 3@C=B0 " 1 - 0 1 - 0 1 6 - 2 % 01>B0 =0 >B20;5, 3@C??0 3@C=B>20 2 - 3
!&3 - 2 - 1 - 1 F 5@52>7:0 AB@>8B5;L=KE 3@C7>2, @0AAB>O=85 ?5@52>7:8 1 :43>B>28B5;L=K5 @01>BK 4;O 15AB@0=H59=>9 ?@>:;04:8 B@C1>?@>2>40 A 480 5 5 0 << 4>@87>=B0;L=>3> =0?@02;5==>3> 1C@5=8O CAB0=>2:>9 A BO3>2K< CA8;85B 1 2 4> 2 5 BA ( >B 1 1 8 , 0 4> 2 4 5 , 0 :=) 1 CAB0=>2:0 " 0 4 - 0 1 - 0 6 9 - 0 2 5AB@0=H59=0O ?@>:;04:0 B@C1>?@>2>40 A 480 5 5 0 << 4>< 4>@87>=B0;L=>3> =0?@02;5==>3> 1C@5=8O CAB0=>2:>9 A BO3>2K< CA8;85B 1 2 4> 2 5 BA ( >B 1 1 8 , 0 4> 2 4 5 , 0 :=) A ?>MB0?=K< 1C@5=85< 8 @0AH8@5=85 480<. 2 5 0 << :;04:0 B@C1>?@>2>40 A 480 5 5 0 << 4>< 4>@87>=B0;L=>3> =0?@02;5==>3> 1C@5=8O CAB0=>2:>9 A BO3>2K< CA8;85B 1 2 4> 2 5 BA ( >B 1 1 8 , 0 4> 2 4 5 , 0 :=) A ?>MB0?=K< 1C@5=85< 8 @0AH8@5=85 480<. 4 0 0 << "0 4 - 0 1 - 0 6 6 - 0 3 v 5=B06 :>2:8 ?>A;5 ?@>:;04:8 B@C1>?@>2>4>2 A BO3>2K< CA8;85B 1 2 4> 2 5 BA ( >B 1 1 8 , 0 4> 2 4 5 , 0 :=) " 0 4 - 0 1 - 0 6 9 - 0 6 @>B0A:820=85 B@C1>?@>2>40 " 2 2 - 0 1 - 0 2 1 - 0 3 = #:;04:0 B@C1>?@>2>4>2 87 ?>;8MB8;5=>2KE B@C1 480< 1 0 0 << 1 :?@>2>40 !&- 5 3 0 - 0 0 4 8 W "@C1K =0?>@=K5 87 ?>;8MB8;5=0 =87:>3> 402;5=8O A@54=53> B8?0, =0@C6=K< 480< 1 1 0 << 1 0 ?@>2>4>2 480< 1 0 0 << " 2 2 - 0 1 - 0 2 1 - 2 ?@>2>4>2 87 ?>;8MB8;5=>2KE B@C1 480< 6 5 <@=K5 87 ?>;8MB8;53> 402;5=8O BO65;>3> B8?0, =0@C6=K< 480< 6 3 <?@>2>4>2 480< 5 0 - 6 5 <2:0 7042865: 8;8 :;0?0=>2 >1@0B=KE GC3C==KE 480< 1 0 0 <1@0B=K9) !&- 3 0 0 - 1 1 7 7 { 04286:8 ?0@0;;5;L=K5 D;0=F52K5 A 2K4286=K< H?8=45;54K 8 ?0@0 402;5=85< 1 0 ( 1 0 :3A/ A<2 ) 3 0 '6 480< 1 0 0 <2:0 7042865: 8;8 :;0?0=>2 >1@0B=KE GC3C==KE 480< 5 0 << !&- 3 0 0 - 1 1 7 5 z 04286:8 ?0@0;;5;L=K5 D;0=F52K5 A 2K4286=K< H?8=45;54K 8 ?0@0 402;5=85< 1 0 ( 1 0 :3A/ A<2 ) 3 0 ' 480< 5 0 <2:0 ?>;8MB8;5=>2KE D0A>==KE G0AB59 B@>9=8:>2 1 0 D0A>==KE G0AB591 ?@09A- ;8AB " >;8B 1 0 . 0 3 . 2 0 0 6 3. D B@>9=8: 1 1 0 ! &5=0: 3 3 9 / 1 , 1 8 / 3 , 1 5 " 2 2 - 0 3 - 0 0 2 - 1 3 #AB0=>2:0 ?>;8MB8;5=>2KE D0A>==KE G0AB59 C3>;L=8:>2; #3>;L=8: 1 1 0 !, F5=0: 2 8 7 , 6 / 1 , 1 8 / 3 , 1 5 8 #3>;L=8: 1 1 0 !, F5=0: 2 0 4 / 1 , 1 8 / 3 , 1 5 #AB0=>2:0 2BC;>: ?>4 D;0=FK. ?@09A- ;8AB " !813070??0@0B" >B 0 1 . 0 2 . 2 0 0 6 3. 5 BC;:0 ?>4 D;0=5F 6 3 ! &5=0: 1 0 1 , 8 / 3 , 1 5 7 BC;:0 ?>4 D;0=5F 1 1 0 ! &5=0: 2 3 6 , 2 9 / 3 , 1 5 " 2 2 - 0 3 - 0 0 1 - 0 1 6 #AB0=>2:0 D0A>==KE G0AB59 GC3C==KE 480< 5 0 - 1 0 0 <==KE G0AB59 " 2 2 - 0 3 - 0 1 4 - 1 9 @820@:0 D;0=F52 : AB0;L=K?@>2>40< 480< 5 0 << 1 D;0=5F " 2 2 - 0 3 - 0 1 4 - 3 : @820@:0 D;0=F52 : AB0;L=K?@>2>40< 480< 1 0 0 << " 2 2 - 0 6 - 0 0 5 - 0 3 + @57:0 2 ACI5AB2CNI85 A5B8 480< 1 0 0 <4>?@>2>4=KE B@C1 A 384@02;8G5A:8< 8A?KB0=85< 480< 1 5 0 <A20@=K5 ?@OH>2=K5 A> A=OB>9 D0A:>9 480B 2 0 4> 3 7 7 << 87 AB0;8 : !B2 :?- !B4 :? 8 !B2 ?A- !B4 ?A =0@C6=K9 480<5B@ 1 5 9 <;I8=0 AB5=:8 4 <B0A:820=85 2 DCB;O@ AB0;L=KE B@C1 480< 1 5 0 << 1 0 0 65==>9 2 DCB;O@ " 1 6 - 0 7 - 0 0 6 - 2 5 045;:0 DCB;O@>2 18BC< 8 ?@O4LN 480 2 0 0 <4>?@>2>4=KE B@C1 A 384@02;8G5A:8< 8A?KB0=85< 480< 2 0 0 <A20@=K5 ?@OH>2=K5 A> A=OB>9 D0A:>9 480B 2 0 4> 3 7 7 << 87 AB0;8 : !B2 :?- !B4 :? 8 !B2 ?A- !B4 ?A =0@C6=K9 480<5B@ 2 1 9 <;I8=0 AB5=:8 6 <B0A:820=85 2 DCB;O@ AB0;L=KE B@C1 480< 2 0 0 <2 18BC< 8 ?@O4LN 480 3 0 0 << " 2 2 - 0 2 - 0 0 3 - 0 5 0=5A5=85 25AL9 0=B8:>@@>78>==>9 18BC- @578=>2>9 8;8 18BC- ?>;89 87>;OF88 =0 AB0;L=K5 B@C1>?@>2>4K 480< 1 5 0 << " 2 2 - 0 2 - 0 0 3 - 0 7 0=5A5=85 25AL9 0=B8:>@@>78>==>9 18BC- @578=>2>9 8;8 18BC- ?>;89 87>;OF88 =0 AB0;L=K5 B@C1>?@>2>4K 480< 2 5 0 <9AB2> DC=402- AB>;1>2 15B>==KE/ 1 0 0 =0, 1CB>15B>=0 8 65;57>15B>=0 2 45;5 " 9 - 0 3 - 0 3 9 - 1 >=B06 >?>7=020B5;L=KE 7=0:>2 1 B :>=AB@C:F89 !&- 1 0 3 - 0 1 3 9 "@C1K AB0;L=K5 M;5:B@>A20@=K5 ?@OH>2=K5 A> A=OB>9 D0A:>9 480B 2 0 4> 3 7 7 << 87 AB0;8 : !B2 :?- !B4 :? 8 !B2 ?A- !B4 ?A =0@C6=K9 480<5B@ 5 7 <;I8=0 AB5=:8 3 . 5 << !&- 1 1 1 - 0 1 2 0 09AB2> >A=>20=8O ?>4 DC=40G=>3> 1 A=>20=8O " 0 6 - 0 1 - 0 0 1 - 0 1 #AB@>9AB2> 15B>==>9 ?>43>B>2:8 #AB@>9AB2> 15B>==>9 ?>43>B>2:8 !&- 4 0 1 - 0 0 4 1 = 5B>= BO65;K9, :@C?=>ABL 70?>;=8B5;O 4 0 <<, :;0AA 3 , 5 ( 5 0 ) @ F5- ?5AG0=K9 " 4 6 - 0 3 - 0 1 0 - 3 @>182:0 >B25@AB89 1 0 0 >B25@AB89 " 6 - 0 1 - 0 2 4 - 1 045;:0 B@C1 15B>=>9AB2> >?>@ 2 :>;>4F0E !&- 4 0 2 - 9 0 8 6 0AB2>@ 0A1>F5?8B0==0O :3 " 8 - 0 1 - 0 0 3 - 7 m 84@>87>;OF8O 1>:>20O >1G=0O 18BCO ?> 2K@02=5==>9 ?>25@E=>AB8 1CB>2>9 :;04:8, :8@?8GC, 15B>=C 1 0 0 ;8@C59 ?>25@E=>AB8 " 2 7 - 0 7 - 0 0 2 - 1 W #AB@>9AB2> >A=>20=89 B>;I8=>9 1 2 A4 B@>BC0@K 87 :8@?8G=>3> 8;8 8725AB=O:>2>3> I51=O 1 0 0 @>65: 8 B@>BC0@>2 !&- 4 0 8 - 9 0 8 1 " )515=L 8725AB=O:>2K9 8;8 :8@?8G=K9 " 1 1 - 0 1 - 0 0 2 - 9 ' #AB@>9AB2> ?>4AB8;0NI8E A;>52: 15B>==KE 1 <3 " 2 2 - 0 2 - 0 0 6 - 6 0=5A5=85 25AL9 0=B8:>@@>78>==>9 18BC- @578=>2>9 <