Analysis of some networks with local interaction

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(1)Analysis of some networks with local interaction Philippe Robert, E. Saada, D. Tibi. To cite this version: Philippe Robert, E. Saada, D. Tibi. Analysis of some networks with local interaction. [Research Report] RR-1806, INRIA. 1992. �inria-00074866�. HAL Id: inria-00074866 https://hal.inria.fr/inria-00074866 Submitted on 24 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

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(344) )+ 1 *, 1H*@-+'%1

(345) ) C!) ;¯ '=K!,R-;'1s4iC!ZA%?@*@/%A);C!A=1

(346) )+-.m}*CM)DKg/m}A)+CME=KgE*0?@*0-cm}L*,c-;)+*0EZ-+*0C!/=, C8 Kg/=L CN :!C!/1r4HKg/}4iCM/=,c-;)+Z=4i->KtA)+CME=KgE%*@?@*0-.m,.A=K!491rKg/=L- RCs,c-+C4o'=KM,c-+*54RA)+C491,+,.1, 8 V K/=L N V C!/*@-r,.Z=47'-;'=KgK-+'1rA)+C491,+,r 7 V *5,y¤fK)+6C D*@-;'|-;'1s,+Kg^1D-+)oK/=,c*0-+*0C!/]A);C!E=KE*@?0*@-;*@1,GKM, V CM) 3 Y = ¦ Ea-+'1nL*5,c-+);*@EZ%-+*@CM/Cg! C 7 *, 7C C!) 3 Y = ¦ 4g}-+'1

(347) );1P1

(348) p*,.-o,D,cCM^]1P)Kg/=LCM^ -+*0^]1sKw-+1H) D'*4o']-+'%1- {CA)+C4i1w,+,c1w,DKg)+13*5L1

(349) / -+*4HKg?kq 7 . Y.

(350).

(351) (& CMZA?0*@/3C!)(-+'1s¤fKg);6CA);C4i1,+,rB0 2 42TS8Cr4i?01Kg);?@m3*@^]A%?@*@1w,4iCMZA?0*@/PC!)(-;'1t1H^| E=1L%L1Lf¤fKg);6C47'\Kg*@/ B0 U UWVX qsQR'14iCMZA?0*@/}A)+CMA=1

(352) )+-.mfK/=LJ-+'%11

(353) p*,.-+1

(354) /=491C K/]*@/MKg);*Kg/-(^]1KM,cZ);1rKg)+1s,cZ4i*01

(355) /-G-+CnA)+C1 Kg);)+*,G1

(356) );!CL*54i*@-.mk,c1H1-&ã *k:<G)+CMA=Cg ,.*@-;*@C!

(357) / (q@ (Aq oq %1A);Cg1K,c-+);C!/M1

(358) )3)+1,.Z?@-H: *uqv1qP-;'=Kg-,c-oK)+-;*@/])+CM^ K/m *0/*@-;*K?=4iC!/\L*@-;*@C!/:-;'1

(359) );1t1

(360) p*,.-o,G,.C!^]1D)Kg/=LC!^ -+*@^1 D'1

(361) /-+'1sL*,.-+);*@EZ-;*@CM/|C-+'%1 A%)+C4i1,;,*,KtA)+CLZ=4i-(Cg*@/\L1

(362) A=1

(363) /=L1H/- 1

(364) pA CM/1

(365) /-+*5Kg?%L*,.-+)+*0EZ-;*@C!/\,iq 1

(366) /=4i1Kg-(,.C!^]1 )Kg/=LC!^ -+*0^]1:i-;'1{4iC!Â CM/1

(367) /-o,aCf 0 Kg);1R*@/\L1

(368) A=1

(369) /=L1H/-Hq Y C!-+*54i1G/1H1

(370) )+-;'1

(371) ?@1w,+,-+'=KCM)D-+'1n,.-oKg-;*@CM/=Kg);mJL*,c-;)+*0EZ-+*0C!/ :-+'1n4iCM^]A=C!/1

(372) /-o,DK)+13/CM-t*0/=L1

(373) A=1

(374) /=L1

(375) /-Hq kkk = (*5,y-+'%1P*@/*0-+*5Kg?,c-Kg-+13CG-;'1P/1

(376) - {C!)+6:?01

(377) -(Z=,DK!,;,cZ^1P-+'=K - y*, { 8 = -;'1D,.^Kg?0?@1,.-aC=-+'1 7 j®, ,cCr-+'\Kg-G/CL1 D*@?@?E=1{-+'1G=),c-G-;CP,.1

(378) /=LCMZ-(Kr,cA*061(-+CsKg?@? -;'1(C!-;'1

(379) )/CL1w,iqGr/-;*@?!-;*@^]1 o:!K?@?-+'%1(4iCC!)L*@/\Kg-+1w,L1w4i)+1KM,c1{Kg-)Kg-;1t Mqy=1

(380) -(O ] 7 7 E=1n-+'1,c1dZ1

(381) /=491PCg,cA%*@61,D,.1

(382) /-DCMZ-rEm/CL1 |K/=L6 I 7 7 -+'%1,c1wdZ1H/=4i13Cg(/%1 MK?@Z1,RCG/%CL1 nKw-+1H)r,c1

(383) /=L*@/,cA*061,t*@/=L1

(384) A=1

(385) /=L1

(386) /-R1HpA=C!/%1

(387) /-;*K?@?@mL*5,c-+);*@EZ%-+1L )Kg/=LC!^ MKg)+*5KgE?01, D*@-;'A=Kg)Kg^]1

(388) -;1

(389) ) Kiq R1L1i=/1 & Y *@/ # g¥. . O] . 8 & *,R=/*@-;13Kql,ØE=14HKgZ=,.1 ¡ Mq(zP,D?@C!/%}K!, 0 7? Y 7. . . ]. . . . I. . {U $. . 4

(390) . C!)3Y . . 8 ] :. = =8. D'%1

(391) )+1 ]*5,R,cZ\47'-+'\Kg: & 4 8 8 I = 4 8 I &q(tA]-;C-+*0^]1 8 :/CL1 ? *5,y-;'1tCM/?@m}C!/%1P-+C=);1qGzD-R-;'=Kg-{-+*0^]1: 09 8 G*5,G1

(392) pA=CM/1

(393) /-+*K?@?0m}L*,.-+)+*0EZ-;1L|K/=L CM)

(394) Y : 0 8 Y Pu,c1

(395) 1n2*0!Z);1| oq . ?. Y ? D 8 . =.

(396) 2*0!Z);1| MqRI-oK-+1nCg/CL1-3 Y ] S . 7. . . . ] 8. 7 . . . . . . . q qq q. qq qq . ]. . . . . . . . . . . ] N . . . I . 8. . I. N . . . I. . 8. . I . . . 8. 1()+1

(397) A=1K--+'*5, A);C4i1LZ);1{Kg/=Ln4iC!/=,.-+);Z=4i- KR/CM/L14i)+1wK!,c*0/r,c1wdZ1H/=4i1D w VX q 2CM) !:-;'1n,c-Kg-+13C(-+'13/1H-{C!);6Kg-D-;*@^]1 ¯ 8 *,DL1i\/1L]Em 0 7 ¯ 8 Y 0 7

(398) ^]*@>/ #W0 g = PD D B $ = 3 Y 3BC = D'%1

(399) )+P 1 31CD*,R-+'%1*0/=L1

(400) p D'%*4o'K!4o'*@1H1,y-;'1P^]*0/*@^Z^ Cg-+'14iCC!)L*@/=K-+1,DCg 0 K/=M L 0 7 ¯ 8 }*,]K/_*0/=L1

(401) A=1

(402) /=L1

(403) /-1

(404) pA=CM/1

(405) /-+*K?tMK)+*KE?@1#i K 7 oq %1 D*@?@?s,+K

(406) m -;'=Kg- 3BC]*5,Kg-}-+'1C!);*@!*0/ C3-+'1 * !A 1H)+*@CL q !Rme*@/\LZ=4i-;*@C!/#C!/ R1)+1

(407) ^Kg)+6 -;'=Kg-*s/CL

(408) 1 3'\K!,=);1L K-]?@1wK!,c-}C!/\4i1JE=1iCM)+1 M: 0 g*5,|K/U1

(409) pA CM/1

(410) /-+*5Kg? )Kg/=LC!^ MKg);*KE?@1: *@/=L1

(411) A=1

(412) /=L1

(413) /-Cr-+'1C!-+'%1

(414) )4iCM^]A=C!/1H7 /-,iq rKJ/%CL'1 /%1

(415) 1

(416) ) \)+1LZA]-;C-+*0^]1 ¬ ¯ 8u° :-;'1

(417) /}*@-,R,c-Kg-;13Kg-{-+'=K-R-+*0^]1R*5, D ^]*0/Z=,K,cZ%^WC *0/=L1

(418) A=1

(419) /\L1

(420) /-D1

(421) pA=CM/1

(422) /-+*K?aMKg);*KE?@1, D*@-;'A=Kg)Kg^]1

(423) -;1

(424) ) K Y ^*@/ 7 K 7 $-+'%1

(425) )+1P1Hp*5,c-o, K}/CL1 D'*547'*,rKg-s-+'1nC!)+*0!*0/JCgK-P?@1KM,c- h 3A=1

(426) )+*0CL,tE=1iC!);1-+*0^]1 ¬ ¯ 8u° oq 1

(427) /=4i1Kw-;1

(428) )K D'*0?@1:Kg?0?R-+'%1]/CL1, D*0?@?('=K

(429) 1|=);1LeK-?@1wK!,c-nC!/=491:G-+'Z=,-+'%1

(430) )+1 1Hp*5,c-o,},cCM^]1)oK/=LC!^ -;*@^]1 D'1

(431) /U-+'%1f4iCCM)oL*0/=Kg-;1,|Cg-+'1b¤fKg)+6CeA%)+C4i1,;, %. .

(432) K )+1]*0/=L1

(433) A=1

(434) /\L1

(435) /-1HpA=C!/%1

(436) /-;*K?@?@mbL*,.-+);*@EZ-;1Lf)oKg/\LC!^ MK)+*KE?@1w,iqQR'149C!ZA?0*@/ A%)+C!A=1

(437) );-.m]*,RA);C1Laq. ! $,D &/& "C! , ! "= V 8 , " 05, / 8 D N D kkkfD = ,#0 8 8 " & "', D B h

(438) ( D |¡ ¯ 8 1!$, , ; " & !-& : ,;=< !$, ,',% +& ! & & "',3>_ & : > 6! , !!$,7 !"#& "8^, ; ;." 05, & 0# 7, , 5! 8 D" 3/>"# , 5,7! " B ¡ "05,D&, , 05,@,#0 ! ( D "# ,# ; ! < # , >A,) ! ( D "# ,# ;=!<]

(439) ,8 !, P , ;, # 3"" %161

(440) 1

(441) A-+'1},;Kg^]1/%C!-oK-+*0C!/ K!,P*@/f-;'1A)+CCDCr<G)+CMA C~,c*0-+*@CM/e¦q %U'1

(442) //CL 1 E=1

(443) M*@/=,-;CJ=)+1~:yMKg);*KE?@1 & *,-+'%1]/Z%^|E=1

(444) )3Cg4iCM/=,c149Z-+*01,cA*061,,.1

(445) /-C!Z%-Em /%CL1 E=1iCM)+13E=1

(446) *@/A=C~,+,c*0 E?@m*0/-;1

(447) )+);ZA-+1wL|Em-+' 13C!-;'1

(448) )D/CL1,iq .r/]-;'1t1H1

(449) / - Y # & Y $ Y #^]*0// 4 8 O ] I _£ $ :/CL1 /D*0?@? 49C!/-+*@/ZCMZ=,c?0mJ,.1

(450) /=LJCMZ-3,cA%*@61,D-+C]-;'1CM-+'1H)P/CL1,9q /J-+'%*,P4

(451) KM,c1-;'1*0/'*@E%*@-+*0C!/ C(/CL^1 3Y

(452) +Z\,c-rE 19C!)+13-;'1 * !},cA*0613Cg/CL1 D*0?@?E 1 8 7 4] I =8 K/=L-;'Z\, D*@?@?4iC!/1

(453) );!1P-;C D*@-+'A);C!E=KE*@?0*@-.m !q / n 7 _ u,c1

(454) 1r=1

(455) ^] ^KP DCgKAA=1

(456) /=L*0-p (tC &vW¦ *CM)(1

(457) pK^]A?01!o: __ M:-;'1

(458) 6 -;'Z\, D*@-+'b,cCM^]1PA=C,.*@-+*013A)+CME=KgE*0?@*0-cm & 4

(459) Kg/E=1*0/=/*0-+1q 1

(460) /=4i1P*ã(K/CL1 D*@-;' *0/=L1

(461) p _ eE=1

(462) !*0/=,-;CJ=)+1.: D*0-+'eA=C~,c*@-;*@1}A)+CME=KgE%*@?@*0-.mf*@- D*0?@?(6*@?@?{K?@?R-;'1]CM-+'1

(463) ) /%CL1,iq QC|A%)+C13-+'=K-

(464) :=?@1

(465) -{Z=,tKM,+,.Z^]13-+'=K-PK-t?01K!,.-D- RC}/CL1,R=)+13*0/=/*0-+1

(466) ?0m|C-+1

(467) /q %14

(468) Kg/£,cZA%A C~,c1f-;'=Kg-}C!/1/CL1 D*@-;' *0/=L1

(469) p _ q /=L1

(470) 15L {1]'=K

(471) 1 7 CM) 3 D a:t'%1

(472) /=4i1 D*@-+'U-;'1,+K^]1fK)+MZ^]1

(473) /-]KM,]*@/ -;'1fA);CCgC}<G)+CMA=C,c*0-+*0C!/ ¦:RK-?@1KM,c-CM/1/CL6 1 D*@-;' *0/=L1

(474) p _ D*@?0?y=);1Kw-;1

(475) )}KJA=1

(476) )+*0CLe*@/*0-+*K-+1LEmÙK /%CL1|C{*@/=L1Hp?01,+,r-+'=K/ aq !R14

(477) KgZ\,c1CDCMZ)3K!,;,cZÂ-+*0C!/:a/%CL1 }LC1,P/CM-t=);1 49C!/-+*@/ZCMZ=,c?0mEZ-(*0-=)+1w,>*0/=/*0-+1

(478) ?0m3Cg-+1H/q -(*@^]A%?@*@1w,a-+'=K-y*0-G)+1w,c-oK)+-,\)+*@/%K

(479) -+1

(480) ) 1H1

(481) )+mA=1

(482) )+*0CL Cgs-+'%1JC!-;'1

(483) )/CL1 q !RZ%-}Kg-}-+'1,.1)+1,.-oKg);-+*0/-;*@^]1w,i: {1'=K

(484) 1JK ,.1dZ1

(485) /=4i1DC*0/=L1

(486) A=1

(487) /=L1

(488) /-(1

(489) 1H/-,y U U D*@-;'|-;'1P,;Kg^]1DA%)+C!E\KgE*0?@*@-.mK!,y-;'1D1

(490) 1

(491) / tK/=L /%C!/1CR-;'1

(492) ^ *,D)+1wKg?@* 4

(493) 1L$E=14

(494) KZ=,c1n/CL1 D*0?@? E 1n*@/-+1

(495) );)+ZA%-+1LEm-+'%1 CM-+'1H)/%CL1!oqQR'*,t*5,P*@^]A=C,;,c*0E?@71 D*@-;'A%)+C!E\KgE*0?@*@-.m !q %14iC!/\4i?@Z=L1-+'\Kg7- D*@-;' .

(496) A%)+C!E\KgE*0?@*@-.m# |CM/1/CL16D*@-;' *0/=L1

(497) p A%)+C1Laq. _. =)+1w,4iC!/-+*0/ZCMZ=,c?0mq.rZ)n-+'1

(498) CM)+1

(499) ^ *,. T VÙ KQR'1,cZ4i*01

(500) /-3,c-KgE*0?@*@-.m4iCM/=L*0-+*@CM/eCg & (+*{*,P*@/e-;'*,n4

(501) K!,.1]^Kp 8i5 5 8 8 D'%*4o']*,DdZ*@-;1n,c-+);C!/C!)D-;'*,D-+CMA=C!?@CM!mq EaQR'1}K!,;,cZ^]A%-+*@CM/fCg1

(502) pA=CM/1

(503) /-+*K?@?0mJL*,c-;)+*0EZ-+1wLJ!K)+*5KgE?01,t*,r/C!-31,;,c1

(504) /-+*5Kg? C!)r,c-KgE*0?@*0-cm}A);C!A=1

(505) )+-;*@1,3k,.1

(506) H1 & ; *$q 4gQR'1KE C1n)+1,.Z?@-,CM)t-;'1,.-oKgE%*@?@*0-.m4

(507) Kg/E=1!1

(508) /1H)oKg?0* 4

(509) 1wL-;C]K}?Kg);!1

(510) )s4i?5K!,+, CgM)oKA'=,i:-;'71 B| (f, ! !,1>"9($; ,!, l ,A( #&{u,c1

(511) 1 & ; *$oqz !)KgA'*, Y kA\Kg)+-;*@-;1 Kg/=L4iCM^]A?01

(512) -+1 *=*0-o,1

(513) )+-;1

(514) ps,c1

(515) -4

(516) Kg/E=1L14iCM^]A=C,c1wL*0/-;CPKrA=Kg);-+*@-;*@CM/ 8 ,cZ=4o'-+'=KqD- RC/CL1w,ØC 3Kg)+13/CM-P49C!//1w4i-+1L|CM) : # = kkk = B $ : qD- RC/CL1w,);C!^ L*±1

(517) );1

(518) /- jl,DKg);14iCM//14i-;1Laq ¹ "# %+W#- # H /}-+'*5,R,.14i-+*0C!/ {1P,.-+Z=Lm|-;'1tCM/13L*0^]1

(519) /=,.*@CM/=Kg?-;C!A=C!?0C!Mm|C!)D-;'1t/%1

(520) - RC!);6 D'1

(521) );1 1H1

(522) )+m}/CL1n'=K!,D- RC}/1

(523) *@M'E=CM)o,D1

(524) p491

(525) A-DK-tE=CM-+'J1H/=L,iq %1KM,+,.Z^]13-+'=K-t-;'^1 ] 7 j®, &Æ)+1,.A q I jli, *(K)+1*L1

(526) /-;*4

(527) K?@?0m]L*5,c-;)+*@E%Z-+1L & );1,cAqP1HpA=C!/%1

(528) /-;*K?@?@mL*5,c-;)+*@E%Z-+16 L D*@-;' A\Kg)oK^]1

(529) -;1

(530) 7 ) K *kq %16/C ¡-+'\Kg-P*ãG Y K j4 ] 8 r ¥¦|-;'1

(531) /J*0-D*,r,c-KgE?01] & (+*o:-+'%1 CM?@?0C D*0/]A);C!A=C,.*@-;*@C!/ ,c'C r,P-+'=K--;'1}4iC!/\L*@-;*@C!/f g¥w¦*,r*@/=L1H1LJ/14i1w,+,+K)+m CM)D-+'1n,.-oKgE%*@?@*0-.'m D'1H/ B *,RCL%Le$* {1PC!)+M1

(532) -r-+'1n4

(533) KM,c13 Y ¥¦oq _¡ ¥E ¦ ,# 0 8! $, : A, 1 "87 "05,D&+&"0#0

(534) !$, ?!$,1; @,@, 3 "

(535) (" H "= 8( $,! " * +& : & !4,# ;, # 3"" =1H- B Y ¦ h M:Kg/\LC!) 3 Y = kkk = h !:L1

(536) /%C!-+1Em 7 ? Y 4 2 5@e 5 2 ] 7 D'1

(537) );1 7 Y ? 7 S8C3*,rK]<CM*,+,.C!/fA);C4i1,;-, D*0-+'fA=K)oKg^1

(538) -+1

(539) ) Kq %1K!,;,cZ^1-+'\Kg-sKg?@? -+'%1 7 jl,3Kg/=

(540) L ] 7 jl,PKg);1|*0/=L1

(541) A=1

(542) /\L1

(543) /-

(544) qn2\CM^) 3 Y = kkk = !:(O ] 7 S8C*5,P-+'1},.1dZ%1

(545) /=4i1 Cr,.A*@61,s,c1

(546) /-PEmf/CL1¦ 3 h |K/=L ? 7 ¯ 8 ? 7 Kg);1|-;'11

(547) pA CM/1

(548) /-+*5Kg?GMKg);*KE?@1, H.

(549) MK ,+,.C4i*K-+1Le-+Cf-;'*,/%CL1qP,c*0/f-+'\Kg-}¦g_ K/=Le-+'1?5K CP?5Kg);!1]/Z^}E 1H)o, {1|M1

(550) -3-+'=K- 7 Y *@/# 7 ? 7ã¯ 8 ? ? =l? $ *,t=/*0-+1Kg?0^]C,.-,.Z)+1H?@mJC!) Y 3 = kkk = a: '1

(551) /=4i1}-+'%1

(552) )+11

(553) p*,.-o,3Kg/ CH_ ,cZ=4o'-+'=K- n 7 _ fC = ED 3 D £ g _Uq L k Y fCtCMP) 3 Y kkk a: Y C ¡-Kg61n-+'1n*@/*0-+*K? ,c-Kg-+1~ : u Y }Kg/\

(554) -;'1

(555) /:K!,?0C!/bK!, N47 !- _ C!)N Kg7 ?@¯ ?8 D ? K/= L 3D 4N 7 a: N47 ? Y C = 7 ? = 7ã¯ 8 ? ? q QR'1D?KM,c-G1wdZ=K?@*0-c7m D*0?@?E 1D-;)+Z1RCM){Kg?@? ? * N 7 u _ 7 C!){Kg?0f? 3K/=L *0/J-;'*,D4

(556) KM,c1 N47 ? {4iC!/1

(557) );!1,R-;C hq 1H/=4i1:CM/fK},c1

(558) -rCg(A=C~,c*@-;*@13A);C!E=KE*@?0*@-.m: -;'1r4iCM^]A=C!/1

(559) /-o, Cg ? +O 2 S C D*0-+'}K/|1

(560) 1H/*@/\L1

(561) p49C!/1

(562) )+M1R-+C3*0/=/*0-cm~q /CM-+'1

(563) ) {C!)L,i:gCM) Kg?0? 3 CLLa:M/CL1, 3=Kg/=^ L 3 ¦+6*@?0? R/CL1 3 D*@-;'A=C,.*@-+*01GA);C!E=KE*@?0*@-.mq .rZ)DA%)+C!A=C~,c*@-;*@CM/f*,RA);Cg1wLa q. zs, {1 D*@?0?(,c1

(564) 1}*@/ QR'1

(565) CM)+1

(566) ^ : -+'14iC!/\L*@-;*@C!/f g¥w¦*5,/%C!-3/14i1w,+,+K)+m D'1H/ -;'1/Z^|E=1

(567) )DC{/CL1,t*5,t1

(568) 1

(569) /qP2)+CM^ /%C C!/): R149C!/=,.*L1

(570) )s-+'1n?@*@/%1Kg)P/%1

(571) - RC!);6 D*0-+'ÙK/Ù1

(572) 1

(573) /e/Z^}E 1H)CP/%CL1,Kg/\L KM,+,.Z^]1]-;'=Kg-

(574) _W _ ¥¦:{,cC-+'\Kg-C!) ,.C!^]1 ] : *5 = ¥ (f&: Y N§$¨.8 © 0 q 2C!)}-+1w47'/%*4

(575) K?R49C!/1

(576) /*@1H/=4i1: R6 1 D*@?0?D,c?0*@M'-;?@m 47'=K/!1-;'1Lm/\Kg^]*54

(577) ,CPCMZ) A%)+C4i1,;A, nKg-3-+'%1|^]CM^]1

(578) /-DCgØKJ,cA%*@61: {1}K!,;,cZ^]1-;'=Kg-H:*0/=,c-;1K!LfCgØ,c1

(579) /=L*@/-+'%1 ,;Kg^]1,.A*@61-+CÙ*@-,]/1

(580) *@M'E=CM)o,i:3Ke/CL1e,.1

(581) /=L,]C!Z%-*0/=L1

(582) A=1

(583) /\L1

(584) /-]1

(585) pA CM/1

(586) /-+*5Kg?@?0m L*,c-;)+*0EZ-+1wLe Ø,cA*061,t-+C*@-o,r/1

(587) *@M'E=CM)o,i:'1H/=4i1 Y 7q %1}4

(588) Kg/f-;'1

(589) / L1,+49)+*@E=1 -;'1f,.-oK-+1JCn-+'1/1

(590) -RCM)+6#K!,]K¤fKg);6C A%)+C4i1,;,JB0 ? +O2TS8C]C!/#-+'1b4iC!Z%/-KgE?01 ,.-oK-+1n,cA=KM4i1 q(QR'1nLm/=K^]*4

(591) ,(Cg-+'13A);C4i1,;,1 0 ? ;4 2TS8CsKg)+1nL1w,+4i);*@E=1L]Em}-+'%1 CM?@?0C D*0/-+)Kg/=,.*@-;*@C!/\A,

(592) 7 *ã 7 Y

(593) 7ã¯=8

(594) 7 8 K *ã 7 Y = CM-) 3 Y = kkk = Bb:GK!,;,cZ^*@/ C Y (¯ 8 Y C!)49C!/1

(595) /*@1H/=4i1:a*ã7 B *5,-+'%1 /Z^}E=1

(596) )Cg/CL1w,>C-+'1D/1H-{C!);6aqQR'1D14i-;C!)

(597) 7 *,-;'13 u-+'Z%/*@-G1w4i-+CM)

(598) 7 Y * 7:2 q %U*0-+']-;'*,DL1,+4i);*@A-;*@CM/:-+'1PMK?@Z13Cg -;'13*@/'%*@E*0-+*@CM/|CG-;'C 1 !n/CL71 D*@?0?aE=1P-+'%1 ,.Z^ CsKg/Ù1

(599) pA CM/1

(600) /-+*5Kg?R)Hqv#i K=nKg/\L C 0 31

(601) pA=C!/1

(602) /-+*5Kg?()

(603) qaq0j®,} qzt?@?(-+'%1 1HpA=C!/%1

(604) /-;*K?R)

(605) qaq0j®,PZ=,.1Le-+Cf1

(606) pA)+1w,+,-;'1*@/7 '%*@? E*0-+*@CM/CP-;'1/CL1,K)+1*@/\L1

(607) A=1