L'Arithmetique generique de Sisyphe

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(1)L’Arithmetique generique de Sisyphe José Grimm. To cite this version: José Grimm. L’Arithmetique generique de Sisyphe. [Rapport Technique] RT-0136, INRIA. 1991, pp.42. �inria-00070032�. HAL Id: inria-00070032 https://hal.inria.fr/inria-00070032 Submitted on 19 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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(10)

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(12) ?>@B A ,CED F. CG H & ?= H>JI CJD =. & =K >== LC M

(13) B N M >JO AHPCA" C=Q_

(14) &CR SUT-V,W XLY =Z CC &

(15) \[F= ]

(16) =4CJD "^ & _A? `>=P a,Yba,SUTWc>J d= F

(17) &e>J [aP( D=f a "^= H F C 4C ` C CAH=

(18) >J` >J& ^T& H `gGh=[ !G B A &

(19) C i = j` [ "k&lt& >LD =

(20) =. &

(21) t ~M & e H

(22) t FfE>J &

(23) H H mm N &n & & _>=G k o!= \ =` = F. J HN ` F

(24) ` = 4

(25) C H C & =

(26) F. ea = F. CG H

(27) & H. = =. & = te C f&

(28) @a pQUe>J( ?= CC 5 [ ?= o!= O t( G A? _>y\ F

(29) l t @ C H @CED

(30) =. &

(31) t M H H =4 F =( >@- q_ O C & m& H

(32) e e& & @C @Qo A" f?= =& CC & r a= C H

(33) & M = O s >s C & ( t`. [=& HA F. C - ^y f& .C & @Qo tA" e P uA & _>=P v& !& (>@B A (C & @Qo _A"

(34) (>LD & H & xwJ

(35) & y{z 9| } ~Kt| e ! &F

(36) ]>J &"A?[F &

(37) = ` F C H & ?= =Q@=

(38)

(39) = A"PQOt A? F Hx=C &[= H R S T-V,W XLY,lMF [ = G>

(40) = -^s

(41) & _A m {a,YLa,SUTW\PQ(C =C & CO=

(42) F ]f _A

(43) = ` C CAH=

(44) L=Q(Em gBhP[ e v H e &C>= `j =[ m &

(45) Cu k P _L > &= x A

(46) =

(47) &A.of

(48) = @`[F ! "^ & _>y B> k . E ia q

(49) a GlLf ` `t F=

(50) i &e m F C H

(51) & e _> = B>[ = F = Q

(52) [ m

(53) H E \ GA? _>a

(54) BlMm L "^ & t>{] = G> H

(55) = t>\?=

(56) a=C@ = `[F HGlK =

(57) = L & = A

(58) =

(59) "w A $r a PCCl mt `C P.a

(60) A FC -^ = `F [ Hx = t> ?= "?A & _J > v? =CIQU _A- x `J > "q_= G> = _> QU tA" dJ > &uA a [ G> . g.

(61) t H

(62) . .

(63)

(64) = =.

(65) . 01 $. &. ". -@ 1 $. . < ! P a(>@ G A?eCED i CB H & P d>J 4CJD = & = m P t &CC 4>J dR SUT-V,W XLYQ P & a,YLa,S T&W Ew m g o~P = = FJ HN a l@ = m>@ B A?

(66) mC & =C =

(67) & = C = ]C & = `[= & H

(68) f F= B A" [ = o!= IC OA

(69) a= &M

(70) = Gl= = O>@ B A OCED

(71) = & = M & e H

(72) = &4?A H? = ! =C =

(73) &Ma

(74) A- C . "!$#. %'&)( .+* / 1230 4230 65 72 - `= H FE HN F CG H

(75) & =

(76) F>J À? dC A" &C{ & Q P ]>=P (C H

(77) g >J ia,YLa$SUT&W$la CC & P & E HN H v B A? 98)8):<_; lk &]C?=\>y & i?=

(78) ee B A"pq = &`

(79) =>= CA" 1CED a = l$C G =(>=P da,YLa,SUTWm t ] & C ] i CB H & ?= = >J CED

(80) = &

(81) t M H H = ifJ "^ & tA? lU & >@ B A >== 4C = = C >y " Q & _A >J a,Yba,SUTW@? lLA

(82) aP mg ,A k <m &

(83) &= & P C `>J &

(84) [= B C[t & 4F=! = & & HF>y &! & HfUCKBD 4>J À? &CC C & >J ]C &c & = &

(85) H BDCFEHGJIukl & A?

(86) =

(87) _A"a=CG P v? >LD &n

(88) "^ B n & = v L K AHA Ft C &x & H

(89) >y ` =CC ] G > = fJ= C =

(90) A

(91) = uk&l &5P &! L K AHA (F=@C &MQ_ _A"

(92) OA

(93) MCED > >

(94) x &@C A? ia ?= A? v lk &CC x=

(95) &iC v ]Ft\C & AHPCA" C >J ]tvA&> GlLC &

(96) @ ltC

(97) >J ]C Q A"

(98) ?=

(99) >J FC ?n &Glv>J AHPCA" C He =A&>i=4>J & & H

(100) ~GJ= OC &=

(101) FCC H

(102) O>J A

(103) NM & o!= HA? dAH= A? &

(104) d F CG H

(105) & =

(106) = >J = >J & &

(107) C P\A= P t &7 O C

(108) &=4PRQTSUSTQWVLXYOI >J .Qo@ C eC & H= =

(109) = &

(110) t Z? [ MC P[ C \ BA"

(111) j h Ax 10 ,%)&)/ &. < (C A" &C=m & m m B A?m & mg .F=M H e>J e[a= ea=M `

(112) B N (>J 4AH=CA" CsQo &CEl= a! A"FC u> f_ & g k@C \ t 7>J `R SUT-V,W XLY B HN `R S T"V,W XLYT &

(113) ~A-= &CC H

(114) & (>O & C e F (C 4= ? & r l = ? &(A ` d N CED E]lJ=m< . &` N CED e H

(115) >J eA? "wJ d( FC . \M. ] -. -. ECMJ> & ~ PC m & y > & ,D CL[Q =CC = J > \= &= & & ?= >J &! & H

(116) .Qo >J d >J [

(117) 4fU BA" =\>J dA U A

(118) aBn = &4>J AH ?A"B HN uk `= &

(119) m L a =F & P(>J G @BD C Q PCC P = & _J > dC &(t F &

(120) m <

(121) e?A &C d ,D F= & 4 Q =GlCU &?=(>J &s^C . - 48)8':7; ^/. `_ LK. -. -. = H FE HN 4C

(122) A

(123)

(124) P]d N t & _>y C &e=

(125) F fA"

(126) = &CC ]>J

(127) <4D &eCED

(128) A

(129) = A"El=C (A? >J ~PC d & ( >s &

(130) ,l= P MF H >LD AHA- e =?=[ C .fJA? GA"U & & & &CC H & >Kn = ? ? \>=P da,YLa,S T&Wc>bD m = PcA? i C = =Bl uA? F CA? tl = & H v. C ! AHA? = dC ?A F C = &= @a (>@ - Q = "k . -. NM b? A c-. â. LK. GA? _>y ]

(131) P H A?

(132) =`{ ` N B A?

(133) F>J t &CC (=

(134) i &Gl C ( P &dfUF ! "^= H FC l = Qo _A" c X> > = ]>J &s^ BA" &=d>J A

(135) U &"k & j=

(136) H `[C =BlF C M & e H ?=C H v(>t= iC P = (A?

(137) H< <m & 4?= H x & \ C H \>t= g x D & H `[ C (>J 4A? &e=

(138) F X BA? J .

(139) t H

(140) . .

(141)

(142) = =. 4 N F &Ft B &N @C (AF = ~l &e>JH &n \A? F CG & e a @>J &IQo _A- C &\A

(143) aP &e P v

(144) . . . 2. # . . - ,lP &CC &et (A? &CC &H>@ B A? &H>t= . -. C A" &CF &

(145) e[ & >=P F N C cg >J da,YLa$SUT&W D >J &.=[ CJ HN &e L 4a H(>t= CED G & KA? _A H = eC @a? m & d H

(146) gBh <m &

(147) e = CC M H

(148) daB GN >J (>J &M P

(149) MAH ?A" H

(150) t & M 4 Q A"C &F` N `fUC = C -^sAHPC lQo H

(151) &t &"k&l$. H B A? &

(152) P ] t

(153) s>s qLAH=

(154) m> ?A J> l$f a "=^ H i C l= &CC &@ _A"

(155) = BUl &"A k&l e e G ?A &

(156) = 4 = !

(157) s>s qLHA =

(158) F>J &PC

(159)

(160) = . 9O. <4D &

(161) &

(162) & &CC H

(163) & \Ft t>J FA? `>J H

(164) H4a v(= d = ~G 4>O B A?

(165) ! & >O & PC. (C & =C

(166) = & o &â

(167) O = e `[ C & OA?tA" =^ C .= F Hm &(= 4CED

(168) = &

(169) t O

(170) =eC &ea & H

(171) (aP ]>J `gBh [ ]d N j [ 4 BA? t>L &(= l F=eCED ?= BlJ=_A- = >J &.= F

(172) &M

(173) C H A"F& H>@B A? & (>== OC . B A- P e =. M i. CB H & H & M>== OC . H

(174) gBh t = `( F C` =&

(175) Q = EwECU? ? H( A

(176) e = i.

(177) & Gl=C & ~P _A" & = Bl= mA? >J H\ >y\ t & CC e= F.

(178) & & . 9O. <. . -. ^/. #b L #b .

(179). . . . . . . $7# 9`^. . . . . -? j l BPA"C

(180)

(181) =

(182) j A & & =>= @= = & HXPN CR C SU T-V,LW =XL Y & . O

(183) >= =F ?C @ M tG H i U ,APF = C H O,>J ^, &F t H,

(184) C @ & ] C[F =a ?>@ B A?

(185) o!>t== C d H

(186) mA?= P ]>J dR SUT-V,W XLY,lF

(187) F & gGh Z =

(188) tA"a ]A &( PC =ea

(189) A- CJ N & = >J & J P vdaP G >LD _= & _A Ft]C & =C t &Gla L=\A BA"( $D da= / =

(190) "âA" <4D & F=4A? &C F= 4 = (= B A" ]A

(191) a= .Qo(= dA? &C &

(192) ( e G A? &?= dCED _= & _A ]>J CED "^ a P v4f_ & cA? ?A _A? = dC [aP l=

(193) F d$D CC &.,?/ =

(194) H PC N k B A" OA? (,D x & & t>da $ G ^ P C HK>J & & H

(195) & d[a= o]D t Oa Gl ]C M =.

(196) =[ C mC [aPC df a=7"_ AH c_ a lAPD @C & & = 4A?t = l ` H = N l &CC = e eBQoD P _ A"a

(197) CC ] t (F & m & _>y k - Q =M>LD

(198) C M = . P[ C fC [a=C m &e ia P ?>=P OC = ,` . !". $#. &%. &%. '. ". )(. *+,-+/.0,213.0,4. ,D = 4 C \ PC &= . = " Qu HN x >pa q H( & & tJ > = 4 =C &= @ C n H= J > ! & _J > = 4C fUC & Qo _A" e C H (A"L (>J &eQ_ _A"

(199) (>J 4[aP lt = 4F & ( F H

(200) & ]>LD PCC = HO>J C J> 4[Q ?A F "

(201) pq( H Gk . * /. .-. . >F m >J& À" _Q_ _A"

(202)

(203) = odD = à Bl$C iQo _A" 5,-76mt & _>{>J ^ = &

(204) &:9;F &CC dAH=CA" C dC `

(205) 8=< 9 < ( 4C dQo :>' <@? iF= >: &

(206) x F ]>== A(tltC C P \>J4 C Qo _A-

(207) & ? (= 8B< 9 < (C{jDFE j G@'H.a= m= 'I 4Qo _A"

(208) ,-7J`=& _> ~ =

(209) & 8 lK9 & =L _Z CC ] A= CA" C 8 9 < L < (` 4C 4Qo

(210) AM0 <ON LZ CC x & t> N lF & F

(211) =' Mm>=P "( (t 8 9 < L < (PC f/@EgGkQH < fRFE{gBkST'HE{g Qo _A" !,-7U.= _>]>y& ^ t & 8 & 9 =Z CC = C@ @ Ce > v

(212) !& _A"C> & = (3 <!8 @M09 <!N a = N >t= "(g& & _>VM . a (G@9 fo& mF

(213) A" C H" 9BW kl >LD b V N MXG <m

(214) Z CC 4 A=D &

(215) ] t` Qo _A" >J` [F= = ,lk= _A" &

(216) ] ,D &

(217) 4Q P GlL ,D F. F

(218) ] = Ma i = > ` eA?&

(219) A? _> ,D &

(220) ea= e?=

(221) xQ = Qo tA" Y,-&Z =& _>i = & 8 l& CC \ . AHP C A- C [ \EgE 8 om- q_ eC . Qo _A"

(222) X,-&Z3Zf 80] 9&k a ^ ,-76f 80] ,2-7ZfR9kk $Z CC AH= CA"C >J tA^ <8 E9 < (_E g o!= C AHP P(` gl,

(223) 8 Ia9=l^ CC

(224) & _> >J _A 8 E9 ]C =

(225) b ({ N g m a= b ( & P a CB & =m >=P ]C AH= `>JF CED >> >Ji C. ` C CAHP o~P eC ] AHP \>J4 Cd A- ,ltC d F= i gEc(g& != F& CG H HF. t r aP C & m>

(226) a >LD =. Qo _A" V,-0d],A?i. a \ >J& s^ = &

(227) 8 & "9 Z CC !& _> 8 9PlLg(

(228) 8 W@9. 2. 8. 2. -. &=@Eg.. 8. -. G9. . j. J-.

(229) t H

(230) . .

(231)

(232) = =.

(233) . /50. . .. . 0~. " . +. %$. - !( 1 $. 0.! . ` ! . ^. . -A? H 5 H4PC C

(234)

(235) &=t ( ,E>OF B A? &

(236) (

(237) >JO A" tt `=[= & dN C &F ,>J

(238) & H>J & d

(239) A? &@âwA" p QUGl "P^= HF i &CB & CM =l >= `P [=4 &R KSUT- V,W HXL

(240) =Y, &l EC= vK

(241) Q HA" &C

(242) He>JC . J> e H >LD `

(243) = H>LD `t `=[ O H

(244) = l

(245) P t &a C @C J > e H \>LD `

(246) = lJ > 4J > &^F= `= [ H

(247) = &dfU = H P &=m &4>O & = F a= &="k &4>LD F _>s A= =(> P ve

(248) , = H P &= (>O & = F a= &=

(249) e= H i H & x &s^ & & H

(250) e H "^ Ce & (= > P eC 4= A

(251) a = mA

(252) a = &t & & =

(253) H

(254) = ]J > &.a Cv Kn HJ > dR SUT-V,W XLYmC c H PC & eJ > & v

(255) H. H= BF l PI= CED

(256) = &

(257) t M H H = . -. 5. -. NM 5. NM 5. NM. v

(258) H & &b Eg H?\=a &CG m A

(259) = `[t F = H?` A

(260) l ] { = `[= ` t L=C X ] t `[= ` = =C w & & t> P[ C ={>J mA

(261) &F>J C iQo a bN 8 d = CEl FW l? OA &F t>\= t `[= 8 ] BG ]8 8 e t `[= ] = = PC &

(262) x =C

(263) e m= `= [ 8 . , . . . ]. = > = . ( C 4. = [ C D. = d l C B= &C$ =[C D= &

(264) \>J 8 C oQ 9 ] GB ] 9 ]8 ] GB ]8 ] L ] GG ] L . >s ?= > = d?A FHA =dt 8 & C d= F H A

(265) ` C & 8 & C `J> H

(266) H]A

(267) U `

(268) C m < &dJ > &^ A

(269) U & ! H H ]a J > &^c _>s A & & *f & CED t>?A \>= H F HeA

(270) 4 C & (CED _>?A (>mJ> H(A

(271) U

(272) C Gk (

(273) C ( O =[C C a[ =C &@a = H H \C &e _>s A &(

(274) C Bl, N G l \l el l \l l m & fJ= > P eC A sy > ,l ?A & P[ C &eBD =a &CC & X + 3, T +/4 , LJ l &uA&k &4 _>?A &4?A

(275) & t?A & ] N ltJ > ] &CC = F

(276) 8 A&A- a C F BA" &= &w & HGlMJ > _A Ul & K^ l &dC 8 ] GG ]8. GA" &t &

(277) \J> d PCC < g .= H &f \k C d =CC \>LD BA" &= &eoQ _A"

(278) -^s Ht & = doQ ~ =tA" = dvF

(279) , &N `= 4C &4

(280) P[ C & Fl &uA=l$?A ` v. = H

(281) & (C &.oQ tA" ( H

(282) = &] a & = ?A H

(283) == \?A _> e e? =xQ = . ? . . A

(284)

(285) ?

(286) NM . A NM. NM !" !$# %& *),+.-/) 0 21 !34)65 5 21 .7 ? : ; 2 < = . . 2. - 7.

(287) . . NM. . !NM '

(288)

(289) " (#. A ; .-. 8 9. -. "O 7.

(290) F H F?G ! P C H4 C & d t>A? & KZ a

(291) A" C HBlk ?= _A? H v H &>@ B A? - w. v H4 m _>A? d P 4 C H.C `

(292) =[ C '( D i CB H & P F>t= dR SUT-V,W XLYT & C d

(293) = t _>A? &

(294) 4 A

(295) BG

(296) cA? >L HN = m & F

(297) pQulF &

(298) I

(299) A?

(300) > HN F= &

(301) e H J= pQ(f = C = E k & 4C & ! e =

(302) 4t C & 4 t>A?& 4d Qo >C fo & a

(303) A- C >J& pqa H?V E g

(304) & E gBk P CC F >LD B A"& = &

(305) P C ! ' E*gfE>J _Ag& dF

(306) G B A = \A? v & uk . mF t ` >y _AB A?

(307) P (t I Q[= l>@B A H

(308) & H ` = e F H\ >J = [ CE HN

(309) & . & ?= =& U L= CC =. B A-& =G lF F

(310) F ] =] A?4 G A"& t( =] A & (= >J& L H . NM ; > :? -. _. . A. :?. @ :?. : a.

(311) t H

(312) . 2. .

(313)

(314) = =. ZO _ a. (= C &e & C( &

(315) >bD = H/%F= PC & (C (>J CED =CC AH=

(316) F>LD GA" &t

(317) ,C d PCC &

(318) \ e H P dfQI@ k@ = H &=! &4>@ B A"C & tAe H . xJ ">J H i>J tA\>y =?= \>L = PCC = H G A" &t>y \?=CC \j tla (A ~ = ?=CC = O BA" = >J 4 =CC < & 5P C

(319) =

(320) & Mt( = 5P CC K= & ( A"t @ C & GA" & e>== .R SUT-V,W XLY,lFG BA@C &. c n & e =F. GlJ > C F =& C=&

(321) i. =

(322) .fUC ] AHP 4Ev =d A? _A H = 0,2. FX .Qo. >J4 F= e Qo _A"

(323) BlF =O >y& P @>J( t AH A" B k & @C & KQo _A" M H

(324) =& (A? _A?& a O C4 C &

(325) _lA? H ?= =& @Q_ _A"

(326) fP ^ CC = & MA?

(327) & _A & ?F @ C C ? X OC & IQo tA" "^ =& @A?

(328) & _A & _a , C @ C &

(329) GZ CC & ,=& = v& = vL>J& $ =`. [t& L H

(330) =& K = P C & f- N a K,. k & & _>J vF>y& ] t`. [=& 4 = = C <m v P H vxP ^cQ_ _A"

(331) =& Gl C & .Qo tA" " ^ =& =

(332) >pqa& H L= @C = x =

(333) & <m& Qo _A- . =d 4aP ~ AA?&

(334) [ C & > G A" H

(335) & a i CJD

(336) C?= = MZ CC & >=P FC m a A

(337) f = _>s e a =& _>Jc C & = C

(338) = & @ C @C

(339) [ C B k & eQo _A"

(340) @ C = & =e (>@B A?

(341) & 4>== eC & 4A

(342) a= & e

(343) = . = =? [a >t= `C c >J& >J& ^ Qo tA" ` = & Bl@( dQ A"C & c N F. CB & a Ft 9 ] BG ] 9 ]8 ] GB ]8 ] L ] GB ] L i Qo _A"

(344) 3Z ,1jP Ce H N /& = s^F t>A?& & T _>iC . C MF& $ C,t &

(345) e = i Ca &

(346) e vC_F = !W . Qo _A"

(347) 3Z , L= Ce H N :& x= ^m _>A?& & 8 & t> C C !8 P _> @& CMt 8 & t m C& d CMF = G ,r F= C H vGltC d Q[ A"& =` >J` = P C?= >bD B A"& = dC Q A"& t >J 8 & = P C?=

(348) c>J = HF. Hd A U 8 <4D &

(349) `C ` C P _>A

(350) UV & C(= 8 Ga`lK>J _A =C 8 G@ . a ] ,D C=" ^ = Qo tA" >J >@B AHP C 4 La >J. Q P \ A A= CA" C P >pqa Cm = [ C ^ ( fE>== dC AHP FA? = l a& ` C H ,-&Jtlk& { P = (>== d =.

(351) = [ C d C AHP C B k o ` C

(352) c. Hn x L= E HN ltC& dF

(353) [ C F >JF H & Cet^ C 8 G !#" <m& & H$ = F& CBe C ( =`. [=e >J( [

(354) O>FA

(355) U 8 ( t`. [=H >J. [ O>sF =`. [= 8 e>J _A% < 3# fUF t c= 8 e = Ck . :?. -. a. $_. R_ Ta. ;+ +!- !5. J-. LM. K. 7_ Ja /. . . &. + +!- !5. _ a. ?

(356) . A . 3 /) +!- +! :

(357) \M

(358) :? . 3 %),+! J

(359) 7 NM

(360) . NM

(361) '-.

(362) . =. ^ # (' !$ :4. V. . . _. 2 M t (C (A?

(363) & H M>J _A )+*-,/.01-2!35476/8:9;)<5#1-2!1-.0=#>?=@21-A>CB<D VLI?EF,X1Q-FAGHS V I4S E CHF,SWVLI VHB5I@F,HX FK P VJ BWXLVLMI LJBWQTSTQT5I VLN I4ILEG.B VB O VLIbVLG.BWQWVLXYI3QTG.B VLXYG VLIHPRQ VBS O VLI?E,V,CB VLX1I O V>CUT QWV XFV IHP LG CXTJQYV XLV7VB>ZPP% VB\[P O VLI4QTG O Q CFV I!] ^M.@_a` #b57=5c05dRc05#1-2!1-.0=eR2=f/8hgF,XHFPKVJ BWXLVLI @VB ]b? <m & Qo _A" & _>{C

(364) F>J & >J &^m = `[= &@ H

(365) = &( @Q_

(366) \>LD i = `[t ( = A ] icQ VB IFEG.B O VLICXTJQYV XLVLIHPRI EILVLX P f kj]0icQ V E,V,CB CV LX P XFV G O XFV P.I1QTG EG"SW+ ? A] icQ.ILVLS "VLIB%LG CUT QWV XFVkP XFV G O XFV ) 3

(367) - -lf kH] icQ.ILVLS VLI%B LG XC TJYQ V XLV P XLVLG O XL7V ) 3

(368) - -alf _kj] icQTG EHG ? =_A- >J (>J &^ ,D &e A

(369) NM A PJI1Q "VLImB I XS LIS EHG n<oL)V PCFE I Q V X pP V\B FHIqI VLSWVL;X ) 3

(370) - -Rr ILX pP VB &f _ksP VB O F,GJI4SWV<CHFIbCFEHG.BWXHF,QTXFVMtXF,QTXFV4S-FbPKVLu P"V CXT EILVP VLGvV,N CXTRFGnJVFG.B VHB ] ^M.@_a` #b571wc/f6/8xgF,HX F,K P VJ B XFVL$I QyP0S VB 9? m?=CC (>J ?QlaP HA &CC >J MS A ] g EILVLX P% gCP &fwS`k g] z#FG.B oaL'$V PJXFVL{P I -S F)CFV $X Q I#FX f-Q S k4VB O V N C15X VLN P"VLG.B VL;X VH#B a] |3V G O XFV )63

(371) - -}fwQ LkH] -. A? >J \>y (CED > >

(372) x &e>J (C 4

(373) ?A"

(374) &

(375) f &C =

(376) H vK

(377) i C 4 aP . SM. N. 8. ^M. M. [(. N. ( ]8. . 8. SM. RM ]N. N. N7] M. M. ,-76 /M ]N. "M. /M. N. [('. . _E. :I. A. E. =,-76. ] ]. ]. . N. (. N. 8. )M. SM. N.

(378) t H

(379) . .

(380)

(381) = =. ^M.@_a` #b571wc/fp8xgF,XHF,PKVJ B XFVLI$QyP `VB> ? PCC (>J ?Ql=a HeC x & & = m N a

(382) (>J : A ] z#F G.Boa'L V= I VHBS( G EHG GRL S-JP XFVLP{I S-F)CFV X$Q I#FX=,-76 f-Q ] kVB O V,N C1X5VLN P$V G B VLX: ] 3| V G O XFV=+q 0,.. 5t fwQ ] LkH] ^M.@_a` #b571wc/f p8xg,F XH,F PKVJ B XFVLI 8 VB5S g EILVLX[(' 8 P VB4CLEI QWVLX$S Ji EHQ B5<[ SwF BX,F QTSUSWV O V%S 0| VLG O XLV8)63

(383) - -} fwS ] [ E{g ] B[ kj] ^M.@_a` #b57=5 . 0 .

(384) 8 EHGJG V^N V Ix Q VB ?6=L & dC & & = G = eC 4= H i H\A

(385) NMU `>J ?Q l T & C PCC 4>J ?Q ] _>J d = `[= e = L=C A ] ci Q (: VB ^ gJP XFV G O XFVQ ] ci Q (: JP XFVLG O XFVMQ ci QTG EH GR]P3| F STVLSWG EO)L XFVLV<X$LCFV+G7,E E V,V CCB B VVL HL X!X ] O VbBZF QTSTSWV> < gP CFEkI QWVLXQ CHF O X5V7N F J O XFEHQ B V]g EIYQDBWQWEGJG VLXS(7VLG I EI1QDB Q EHG . P v & aP v(>@ " q_ 4C ` A" . c

(386) F F,D &CC ` & Bl,>J _A`= M a A"C HeC PCC \>y !M

(387) &!=L MC ?=CC 4>J N . I N. ,Z . )+*-,/.01-2!354p8:9R.0b>j2!c/_21w./= #> A=#2!1->B<DVLIhEF,X1Q-FAGHS V I VHBRI@F,XHF,PKVJ B XFVLIxL BWQTSTQUI5VLN IILEG.B M VHB N O VLI VLG.BWQWVLXYI3QTG.B VLXYG VLIjP Q VBS O V IE V CB VLHX1I O V<CXTJQYV XLVLIHP XPqAP.VB/P O VLI4QTG O Q CFVLI] ^M.@_a` #b57=@1 xd@>j.0b>j2!c0_C2!1-./=AeR2=508xgFXjFPKVJ BWXLVLI"M VB N ? & _>iC ]>s\M4 H & _A? M:E N A ] g EILVLX[(' g] ci Q M V IBxHL G CXJT QYV XFVP XFVLG O XFV:,-7Z3ZfRM ]N kH] ci Q N IV L IX"BMM L G VB>CU T EQWV XFgVk] P ILEQDB@ < g7S-F BX,F QTSUSWV O V:M@]/3| VLP{I S-)F CFV X"M I@F X ,-&Z3ZfRM Q]N kj] II VLSWVLX ) -/)} ci QTG EHGR.P CFEI Q V X"MRJP XLVLG O XLV7)2-/)ARr fRM ]N7] &fRMtk0EgBkH] ^M.@_a` #b571U#1 x6/8:gF XjF PKVHJ BWXFV I$Q P/S VB@4? < g &.C ?=CC 4>J MQ l a !(: g A ] Ji EHQ Bp < g S->F BZF QTSTSWV O V%S z#F G.Boa'L V$: I JP XFVLP{I S-)F CFV X$Q I#F X=,-7Z Zf-Q ] S k;P O V N C1X5VLN P"VLG.B VLX;VBma] 3| V G O XFV) -/) } f-Q ] kH] ^M.@_a` #b571U#1 p8:gF XjF PKVHJ BWXFV I$Q VHB>4? =a HeCED F=

(388) \dN a

(389) (>J : A ] z#F G.Boa'L V= I VHBS(' JP XFVLP{I S-)F CFV X$Q I#F X=,-76 f-Q ] EgGk;P VB O V,N C1X5V N P$VLG.B V X= ] 3| V G O XFV=+A +!-0,.A! 5t fwQ ] ] &fwmQ k0E gGkH] ^M.@_a` #b57=@b5=#A 5 .

(390) 8 bEGJG V^N VLI Q ] 3VB: ? & t>J i j v

(391) H] t L=C x -^s P >J +% Q v `C & t>A? &= &\ A ] Ji EHQ B5 3/ ),+!- ZC ,1tfRM ] ] kH] ci Q@ W Z XFV G O XFV ] ci Q@ AP XFVLG O XFVM7Q ] ci Q@ P VB5Q VLI,B O VBZF QTSTS V: < gJP XLVLG O XLVMQ F GJIbSWVLI FAL BWXFV I CH,F IHP XLVLG O XLVS-FI#F XB QWV O V Q VLG.BWXFV SWVLIbQUG O Q CFVLI VBAP VLG S-$F CLEI Q-F G.B O F GJI L G G EL,E VFAL E V,CB VL X] h.

(392) t H

(393) . .

(394). 2. .

(395)

(396) = =. !^ b. . _. PCC (= F H A"KCED PC

(397) =

(398) \A"C =

(399) = FJ> ` C CHA =

(400) EC &

(401) a &C =AH C

(402) =4AH=.a

(403) A" C HGl= & L

(404) i eC & `C

(405) CAHP Ka eC &(

(406) P _A? &4>J !`la &"A . ! &

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(408) , / )-_f/M ]N7] kj] ci Q M V IBxHL G CXJT QYV XFVP XFVLG O XFV+74/)

(409) , / )-Rr f/M ]N kj] ci Q N VLIB%L G CUT QWV XFVkP XFV G O XFV=+&4/)

(410) , k/ )-Rr f N7] MtkH] ci QTG EH3GR/ P ),IL+!E-aQWVL3 G.Z B ,,+!H"-+< FHIgI SUVQ-BoL% HV^N Vy< !F J g<MS V WI>XLVLBZIXFI5QT]STSWVLI VLO G V:VLM G.VB Q B V X!N ] ] bV%I SXL IbILEQDB [C" WXLVLIXIf]#[ H S V X5VLN IL SDBX+F B O V N ci Q@[C)" [ H JP XLVLG O XLV;+74/)

(411) , / )-tfRM ]N2 D] H" < H kH] ci Q@[ " PI EILVLX H < gbVB "5 [ H P VB XLVLG O XLV;+74/)

(412) , 0r f N7] M ] " kj] ci Q@[ H PI EILVLX H" < gbVB " ["P VB XLVLG O XLV;+74/)

(413) , 0r fRM ]N2 ] H kj] g EILVLXbI1QTG EG P " !P [ H 4P "@ [ " !P (#\ [ " < [ H P@,F SUSWEq)L VLXHL G ,E V,CB VL X O V BX,F QTSUSWV " < H < g] I I V S V X )4/)

(414) , b IL X"MRP N VBPI5L QTI +0 0,.! 5A7 IL XS V X5VLN IL SDBXcF B VB " < H < g] ^M.@_a` #b57=@21w4> e58:gF XjF PKVHJ BWXFV I 8 KP 9bVB> ? AHPCA" C 8 9 A ] g EILVLX[(' KP L ,2-7Jf 80] 9 ] kH] ci Q(XL VLG O PRXLV,F SUCFSWV+Eq)L ,E VLV,X?CBL VGL X!E ] V CB VHL X O V BX,F QUSTSWV < q] P"VB1B XFV=( VLG I EHI1QDBWQWEG .P VBSLbVLG7I EI1QDB Q EHGP VB ci Q JP XFVLG O XFV:L] ci QTG EHGRPRF STSWE)L V XhL G,E V,CB VCL X O V BXF QTSTSWV < gCP P$VBYBWXFV=LbVLG I EI1QDB Q EHG P VB SWV XFVLG O XFV] ^M.@_a` #b57=@21w4> e5608$g,F XH,F PKVJ B XFVLI 8 VBS ci Q 8 JP XFVLG O XFV ] ci Q 8 gCJP XFVLG O XFVMS ci QTG EHG XFV G O XFVA+74/) , / )2-Rrr f 80] (S kH] ^M.@_a` #b57=@21w4> e5606/8 bEG GV^N VLI 8 VB5S g EIYQ B QWEGJG V X bF J SwF BX,F QTSUSWV O VMS ] VHB " FAL X5V N I!L SDBXcF B O V:3/ ),+.-3 Z ,,+.-{FHII STQ-oL%VyN FhJ S VLG VLG.BWQWVLX!] 3| V G O XFV=+&4/)

(415) , 0r fwS ]80] kj] ^M.@_a` #b57=@21w4>_6/8:gF XjF PKVJ BWXLVLIxQ ] 8 VB 3? <PC A- C H 8 VQ ;0Q & >J ?=CC elt = PC lC, `>J & =tB &N " A ] ci Q 8 gCP VB> JP XLVLG O XLVMQ ci QTG EHGR.P CFEI Q V X$Q CjF O X5V N FMJ n/FAcL CXT V O ,F GJI?L GE V CB VHL X O VZBZF QTSTSWV < ]. (.

(416) t H

(417) . icQ. .

(418)

(419) = =. CPJXFVLG O XFVMQ icQTG EHGRPI EIYQ B QWEGJG V X " F J P%FHII VLSWVLX )4/) , 09I!LHX<QyP 8 VB ] $II VLSWVLX +0 0,.!5A I!LX"SWV X5VLN I!HL S BZF+B ] ^M.@_a` #b571w21-4a>_ p8:gF,XHFPKVJ BWXLVLIMQ ] LGEV CB VLHX O VCXTJQYV XFVLI I@FX,BWQWV+LJB QTS V<VLG.BWXFV7" VB " P 8 VB9 ? <PCA" C H\Q 8< 9 Z A=(>LD = /%a= l &?= \>y >@ B A? & " F=m &

(420) (CED = H %a=>== @C . BA" &=MQ = FCED = H %a= H `>=P "( A ] g EILVLX[('T9%P " VB5' " ] z#F G.Boa'L V= CP XLVLP+I Sw'F CFVLX$Q I@,F X=,-&Jf-Q 7 ] 9 ] kVHB O V,N C1X5VLN P$VLG.B VLX%a] ci Q/: G EqPL ( JP XFVLG O XFVMQ] icQTG EHG+I EI1QDB Q EHGJG VLX"( O FG I$Q PI EILVLX[( P VB@ " ]0| VLG O XLVMQ ^M.@_a` #b571w21-4a> p8:gF XjF PKVHJ BWXFV I Q ] S VB ? EC_GD e>J \AHPCA" C H$Q7S < *>== @C ( BA" = J- & a

(421) &

(422) C >y +Q &M7 S ! & &;F=MS ] " ; " a=MQ - FA

(423) NMU `C d C F N g. 8. . 7(# 8(# " ". =$#. NM. >J >J &

(424) N C 4a . a =

(425) =eC 4= H i HHA

(426) U 4 = F C,>

(427) &

(428) C = ( a FI E 5 E 4A" lLC, = da 4jG (>bD = H/%F= KCED e H PC ~ < o~P @C 4HA =(A ?= lCt H?`>== )( a

(429) \>J * _ HeFteC

(430) 4C x c Hn @ PCC t . c-. . ?Q A ] g EILVLXh # E \PA P ^ E{f " E " < gBk4VBS( ] z#F G.Boa'L V$:W i Q@S PI EILVLXh: < 5] i QUG EGRP I EHIFVLX 9"%P:F < ]xz#FG.B oL)V_I "xPXFVLP{I S-F)CFVLX I@FX S-FoLFG.B Q B/V N ,-7JfwQ ] S ] k;P O V,N C1X5VLN P$V G B VLX=`VB R] V,N CYX5VLN P"VLG.B VLX a] i QR! I P$VHB1BWXLV=( O F GJI ] icQ$(X EqL c G P/I EILVLX$#Tv < gCP O FG I7SWV CHF,I CFEHG B XHF,QUXLVPRI EILVLX (qP/IfLQTI!(X VB $# R] |3V G O XFV ?]. . . ` . . _. 9

(431) :

(432) ;. z } 8(~K}{: . } 8. * )+*-,/.01-2!354 #8:9 1 R1X>j1w./= 5c b5= _351 /B G LJBWQTSTQTIFV\LGbG EP GHXFV.QTG.B V X1G V pPALHG E,V,CB VLX O V`CXTJQYV XLVLI Q LG CXTJQYV XLV VBxLG"QTG O Q CFV8 ]? &eC &.= At G >= ~ & _>J v4C ]= & &

(433) & & eC ~ & >t= C d

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(435) = & À? F C= & e a &$l,AH 4CED =C t >y > L &

(436) = m

(437) =C <m

(438) & A? ea =C

(439) = ( ,> 4 = `[= .a e mA

(440) U ]. . . . N. "(. . "M. N. [(' . 'M. N. SM.

(441) t H

(442) . icQ. .

(443)

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(445) NM >s = & Blt F\ N /?tea eC = At B >s= A ] g EILVLX P VH>B "M] icQ g XFV G O XFV Q] FGJI4SWV<HC F,I7CFEHG B HX F,QUXLV P XLVL+ P I wS F'CFVL\X Q I@F,X fwQ k4VBQTG.C15X VLN P$V G B VLX ]0icQS V oL)E BWQWVLG.BVLIB`RG LS-P I EILVLX " ] z#FG.B oaL'=V " PJXFV +P I -S F)CLVL$X Q I@FX fwQ k3VB QTG.CY5X VLN P"VLG.B VLX ] |3V G O XFV Q ] M. :,-7U RM ]N. M. G. [M. [('TM. N. ,-7U RM. ]N. 0,.. N. N. . . E. ]N. G. N. [('. N. . . =,2-7U. ]N. . C. 9

(446) 8. =,-7U. 8$: I} ~ 9

(447) ;. Q]N. z } 8$9 . -. < BA" & L= & F= C =C

(448) = `>J m>

(449) [ &

(450) F>J > H` = `[=

(451) a ` m = `[= . j -Â-C\C & AHP4 =^ L>LD = da ! m

(452) F Ft

(453) =T (>J &^ A

(454) U &GlU & >LD = a

(455)

(456) W:W . O. NM. " " $# ZO * ;<# " " NM # cK ; c. a=C `C m=[ CJ HN ( F H

(457)

(458)

(459) "

(460) l &F t A &C a GG

(461) f

(462)

(463) " GB

(464) k . a ]= g A

(465) NMU & *CED H ?= + >s dA\MU >y

(466) a l C &4A

(467) NM & & M g &$ f a (A &

(468)

(469) " k 7 $# . . m

(470) F `= C da 4

(471) C ]>y

(472) L &

(473) ~ v & l_A? &CC ]>J v & BA- &= = d H?ia= >pq( 4A? x m a `t OG l= \C da

(474) d>m GA" &t

(475) & &

(476) >pq H C =

(477) & e H?ÀH>J N P_A

(478) = lJ & mA?

(479) & AHP v4d N CJD _>A? lC ! & ] H ÀH>J N J> l & ` ( Fa P H4 N CED _>?A & &MC & lC $D = (>J &@L H . >pqa Z eC (= & y> ] &CC 4 = `?A H \C &. _>?A &4

(480) C &4> & o C G=l >paq H? J> d = ?A 4 H?dCED _>s A (>J > H(A

(481) U >= & d?A _> G &

(482) e F? = .a = C t & &eC ! `= > P eC \ BA" &=

(483) Z CC ! &.a xoQ @ H B ?A &

(484) P . ^. <. "E. NM. <. >J _A.

(485) . G GA Z A?

(486)

(487). " <. ". <.

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(490) k f ". GB.

(491). H <.

(492) + ". "

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(494) U ]>bD _>s A f

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(496) t H

(497) . .

(498)

(499) = =. bOBA?

(500) " & l&C `[= K>J P_A

(501) = &

(502) f ]gGk

(503) #" $ f dgBk ]g g. `l C

(504) H `[= \>J ! P_A

(505) = ! &4>J tA & `lJ &e &4C ~

(506) H `[= (>J ]>J ! &

(507) . m L= & aP O

(508) F 8? . fUa, N `>J = PC?=

(509) _k / =^ >J &s^ H `[t &,>J .fJjk - m `[= K>J fJ=_A

(510) = e>J & & gBk f" >J m f k d f " k " " . a . g F. a

(511) A. C . g l f " k . Z '. ) d' f f gBgGkk&l >J _A f " ' k " " ) <m

(512) " lC H `[t O>J (>y &. .. . C. =G. . 'G. C W. . A D C. . E. <. <. . & m>@ B >s . . ` >J tA. . G. <. <. <. W. E. . AC. C. a P & a= . G. <. E 'W. . . E. < _E. < G. <. COOE BG H <. C. #"SE " $<. <. $ + !'^< " < "C" < ) !

(513) H `[= e>J >J &=I l>LD , N >O B > " <

(514) #"I"# A? v _l " = &e P _> k =C

(515) " &" < l + Eg ( dC : &C = " <

(516) #" <($ + f E( k < f" <*' k < " < "C" <%)

(517). <. <4D &.C x c Hn &C = = dfJjk . . <. . <. . E. O. /. <. #"G&"

(518). <. ROE < <. <m BA-^ &

(519) ( = ! "^_A? CC & x &

(520) =

(521) >y \CED H &=Gl

(522) = . =+ .C 4fEjk@BD

(523) B A . ". -. Q. " . 'H. E. G@'H E g . E. Q <. G. I. <. E. . . f k A=D & f k. E H \A? = At B >s= `>J > F >J " "$D N G . a (t " C " FEg=l = PC? =

(524) _k . ?. . ". . ". . E.

(525). <. #"I&" . G B A$ W .C ef_ & &F?= 4fJhkM>=P (fEjk

(526) k !' E " < " < "C" < ) I l$A?

(527) AE cC / "C" < ) G `lLC

(528) H `[= d>J J=_A

(529) = &

(530) ^G 'H l >J tA""BC" &"C"SE""C tZ m>LD = &. H &Gl0 GfUa, N ]>J. E . fJhk. lJ L Z a

(531) A- C Bl >=P eC A=\ L t (A? _A? H

(532) = lLA? "B . [ "+ . E{g. . o B ?A

(533) P v & aP veC ]A s>y $a H & >J dAH=CA" C H &"d?=xQ = P 4fJhkfU (CED =C t (

(534) uk ( F c= j &

(535) FCED t>A? >=P `C BA" &=

(536) ,lKC &>J &^F=

(537) &

(538) F F

(539) e H H>=P &lP = t>O=

(540) &e>=P " &e>J &sâP v

(541) & O>J O>t= & . >LD =F[ ">FHA PCA" C H

(542) <

(543) + < " ^= @a @

(544) C ",-7U CtQ P et

(545) G o = eC HA P\?A v P = ! l == ?= =T & "B

(546) m <

(547) m P(t G`t l i = d=

(548) ,=

(549) & Q P^ . iF ]=> = ]?A A = l "

(550) & a = H t ` P[ C i N J. PMF = _>= H(?A = [ CJ HN dHA =CA" CL

(551) PC y > ! & " ([Q =d N CED

(552) & ? =F . . . /". c-. ". ". . )-. . . . ZIZI V,C. #" ". . ". 7IXI V,C. o!= \C FAHPx,N C i P[ C &Q =^,lU c i @ H

(553) qF H .fJhk &d J = ( A=CA" C `F=]A &C $ <&' " W $ PC `fEhk &d J P l,

(554) " G $ =C

(555) `fJhkx Q =

(556) l ]

(557) "V $ lMfEhk &. J P i

(558) I ' <m mAHPCA" C &

(559) dQ =x & j g LD CKQ P `>O B A? H & H lk C Q =Gl^ & AH=CA"C " &" < [ < s F l A=D &(>y _A4= " F T*g ~

(560) H `[= H>J P_A