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Implementation and Complexity of the Lowest Static Reduction

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(1)Implementation and Complexity of the Lowest Static Reduction Ludovic Henrio, Bernard Paul Serpette, Szabolcs Szentes. To cite this version: Ludovic Henrio, Bernard Paul Serpette, Szabolcs Szentes. Implementation and Complexity of the Lowest Static Reduction. RR-5034, INRIA. 2003. �inria-00071550�. HAL Id: inria-00071550 https://hal.inria.fr/inria-00071550 Submitted on 23 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..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Implementation and Complexity of the Lowest Static Reduction Ludovic Henrio — Bernard Paul Serpette — Szabolcs Szentes. N° 5034 5 décembre 2003. ISSN 0249-6399. ISRN INRIA/RR--5034--FR+ENG. THÈME 2. apport de recherche.

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(112) % G >1¾Â|}n}vx oprKnXeÁyW fvwyuqpqsfD‹ &4 ! 9©x ope“fD~D´X¸[osn}vf1x adf1vwrue“Šdqsfº9opx‡?ru¾Tx adf1~¡fx osn}vwqp|}~¡osrunXŠ}„¡fL‹9osvDyx fo{~“yx“qpfLyu~€xJqsopn}fDyz„L¿Ix adfrµufw„Œyzqsqbvrue“Šdqsfº9opx‡ o{/ ~ &4 ! 9 ´±`bad" f #[opqsqsfw„Á~€fD„¡osfD~ tKopµKfwnopn¹~¡fDvx oprKn’Á„Œyzo{~¡fTx ados~Tvrue“Šdqsfº9opx‡u´ `ba}fmeÁyuopn¹‹9„ŒyW &}yu

(113) v #9~]rz¾x¡ado{~bdqsopn‹¹yzqsturu„ opx¡ade yu„¡f  ”u´&° ŠdŠ}qpo{vwyzx¡osrun?ndr9‹9fD~mrz¾# yu„¡f

(114) x y/#KfwnÎopn?yŠd„ fD‹dfÏ}ndfL‹½rK„ ‹dfw„L´b+­x &osqpqINfJfDndfÏvwosyuq6x¡r1µ[os~¡o»x vwyuqpqsfwf n}r[‹dfD~]fw¾Âru„ fTvwyuqpqsfw„ ~YrundfK´6`ba}os~2 &opqsqNf x adfTose“Šd„ rµufwe“fDnKx]rz¾^x¡adfQ+7È =&7¥É Ë'€Í/5É=(wË yzqsturK„¡opx¡ade´ g9´*-fx‡ fwfwn

(115) o»x fw„Œyx¡osrun~;opx6‹drBfL~€n x6e“fwe“ru„ opÐDf2rKn

(116)  &ado{vŒahndr9‹9fL~;x adf F

(117) %HG >2¾Â|}n}vx oprKn, byu~vwyzqsqsfD‹´ +­xmo{~mfDyK~€x¡r~€fDfhx a}yx©o»P ¾ F

(118) %HG > 47 )"G

(119) M ) @N 9bo{~mvDyzqsqpfL‹x‡ &o{vf

(120) rKn£x adfJ~ yze“f,ndr9‹9fD~D¿yzn}‹¹op¾2ndr µyzqs|df· byu~yu‹}‹9fD‹Îx¡ r qA4 ) @N 9QNfx‡ fwfDn$x¡adf“x‡ r£vwyuqpq{~w¿;x¡adfDn$x¡adf~€fLvrun‹ÎvDyzqsqIx¡r F

(121) - HG >os~ ndrzx©ndfLvfD~ ~ yz„ 1~¡opnvfJ ]fJvwyznΊd„ rµufx a}yx x qZ4 ) @N 9T,%qZ47 )"Gj9To{~Qx¡„ |dfu´`bado{~mope“Šd„ rµufDeJfDnBxQ &osqpq fŠ}„¡rµ[o{‹9fD‹[Áx¡ad: f ¥É :J' ?5 9ŒÍ©yzqsturK„¡opx¡ade´ ‘d´bÃÄadfwn yzn fD‹9tKfÎo{~yu‹d‹dfD‹¿Qo»x£‹9r[fD~1ndruxx „¡ x r vwrue“Šd|9x f?x¡adf$~€fwx1ru¾JyuŠdŠdqsosvDyx¡osrunGndr9‹9fD~  &ado{vŒaeÁyW“f©osn }|dfDn}vfL‹[“x ados~bn}fw GfL‹9tufK´`ba}os~bose“Šd„¡rµKfwe“fwnBx &opqsqf©Šd„ ruŠNrK~¡fD‹·opnx¡adf 3É EÉ zË'€Í 5=É wËyzqsturK„¡opx¡a}e1´. *[Z. gfNdLa`f. c E ^. . ZD%E. i$^ fNdLh . D%E. c . Ã?fh &osqpq~€fDfopn£~¡fDvx¡osrun’“x¡ayxD¿opnx adfhdqsosn}‹¹yzqsturK„¡opx¡ade¿9x adfhn[|de,fD„ rz¾6o»x fw„Œyx oprKn}~&o{~ osn }|dfDn}vfL‹ [“x adf©ru„Œ‹9fw„bosn &ado{vŒayzŠdŠdqso{vwyx oprKnndr9‹9fL~byz„ fTxŒ/y #ufD n 6 ]f©vwyunfwº9ŠfLvx&fwx€x fw„&„ fD~¡|dq»xŒ~ &adfwnx¡adfL~€f yuŠdŠdqsosvDyx oprKnndr9‹9fL~&yz„ fmx /y #Kfwn1opnyÁ‹9fL‹9osvDyx fD‹ru„Œ‹9fw„Lg ´ +ÆnKx |dopx¡osµufwqsu¿9qso #uf©¾Âru„ yunfDµyzqs|}yx ru„L¿BopxT~¡fwfweÁ~ Nfx¡x¡fD„Tx r·¾Âruqsqsr  x adfJr9‹9rz¾2yÁ¾Â|dn}vx oprKn½Nf¾ÂrK„¡f,turuosndtÁ|dŠ?yxQx¡adfJyzŠdŠdqso{vwyx oprKn¹ndr9‹9f

(122)  &a}fw„ fhx¡a}os~ ¾Â|}n}vx oprKn¹os~QyzŠdŠdqsosfD‹´&¯drK„TfDn}~€|}„¡osndt“x¡fD„¡e“osn}yx oprKn¹rz¾6x¡a}f

(123) yzqsturK„¡opx¡ade opn£vDyu~¡frz¾I„ fDv|}„ ~¡oprKn)¿d f

(124) ~€x¡osqpq n}fwfD‹ yÎÏdº[¬¥ŠNruosnBx·„¡fL~€rKqp|dx¡osrun±yun}‹ yzn}yuqp[ÐwffLyuvŒa ¾Â|}n}vx oprKn Nr9‹9XrKndqs run}vwf1¾Âru„ÁfDyKvŒa±opx¡fD„ yzx¡osrun)´.  ! Ø)Ø)ٝÙWÞIå á;Ý=ހÚÜÛ)åŒè[àêLâ‡àá¥ö&åŒÚÜãWßWއèÜÞÆämðLÚæ;áÌëTÙWއÚÜãÛ" *pà^3Ý^3[$ #^3[ a d)[ åŒßL` ßWd4èÜ[ ÚÜâ€] å á¥[ ÚÜà` ãQ[ ãW] àD[äLހ] Û d ^ d ) ^d  ^4[ d. ll/ãm&nïôŒû.

(125) . ¤N=}Í>LÉ  wË&5É 2?5ËB7/5¡Í,³`7=9È)¦k5 K?96¦ 7BÇÈ ¦ wË&9 .  @!;C' G qZ47; 9_ ; / 7Gy>V )   @!;C' Gy>47; 9  , 5   '(  > "!$#&% ; +*-,/.10324?% 4 '( >9 ( >769824:"% > +* :pNN; 4a  9 D +* G y>  G 7>#=81 K +* /. L ?. O ?  +? ( +?  ) + ?  5 E  ; E  > + ?  D + ?  K E. :pN ; 4[> 9 046&47>x@. < É Q,ÉÌËÉEÉ 7zÈÊÉ 7¥É Ë ; (' KÉÌË']ÉÌËÉEÉ 7zÈÊÉ 7¥É Ë 2É (' 3zÉÌË&2É9?5T7¥É Ë 2É (' KÉÌË&%5T? Ç  57> ?% (7zÈ =&7¥É ËHBA :7ÉÌË8T?'5 

(126) É Ë < É Q

(127) ÉÌËB ?5T? QwË& ; F7

(128)  YÉ . 1. [4 6n:9C'W9 :pN ; 4[6$9 :pN ; 4[9 @!bG @ Å&A10 2 CqZ4[6$9 G F

(129) %H G >4 A$Mj:9 046 y>47b]9

(130) @  Gy> 7>47b]9 7Gy> p ; 472&9 F

(131) %H G >4[<> MT2s9. §=9È <;É Q,ÉÌËÉEÉ 7zÈÊÉ 7¥É Ë.  Ç  5T7 X+7È =&7¥É ËHBA   bËÈ 67

(132)  ÈÊÉ

(133) 7¥É Ë$Ë4DÍ    7 (9Ç)=(dÍ>7/ ŒÍ

(134) /(7zÈ =&7933 A

(135) =9Ë4 ¥É Ë

(136) /7È =&7/ C S75;>=3 Qw& Ë  5 

(137) 7> J A

(138) =94 Ë ¥É ËA I²  

(139) J=:5 =9È  ) =9B Ë ?¥É Ë?Ç LÍ674Ë 7È  Œ" Í ËB

(140) “ Ç ÁÉ 9?5T7¥É Ë ³ =3C  ¥É QSË 3BÉ  A

(141) =94Ë ¥É Ë %

(142) /7È =&79 C “ Ç DÍ/ I²  

(143) J=:5 =9È  5. ¯ostu|d„ fhg3I¼Iµyzqs|}yzx¡osrun9¬Æ‹9„ opµKfwnyzqsturu„ opx¡ade. ~t * l ~Ìù.

(144) ¤ 2¦9§

(145)  ÈKÉ. .  @!;C' G qZ47; 9 4L;9M 9 §=9È / 7Gy>V <;É Q,ÉÌËÉEÉ 7zÈÊÉ 7¥É Ë YÉ (' KÉÌË']ÉÌËÉEÉ 7zÈÊÉ 7¥É Ë )   '(  > "!$#&% 2É (' 3zÉÌË&2É9?5T7¥É Ë 5 +*-,/.10324?% 4 '( >9 ( >769824:"% 2É (' KÉÌË&%5T? ; +* @3476h:9 C G '< 7$=/Q7ÈÌÈ7 >NÈÊÉ

(146) 7¥É Ë$ËBLÍ> > +* @ ÅKA]0 26M  G )CqZ4[6$9 G <&7@=Q7zÈÌÈ7KÇ  5T7 ¥ É Ë&BA C  A

(147) =9ËB ?EÉ zË K75  D ? F

(148) - HG >4 AMT MeG Gy> 9 ²I 

(149) J=:5 =9È ) K E F

(150) - HG >4G476h:9MT26M G Gy> 9 ²I 

(151) J=:5 =9È 5 L E G y>  G 7>#=81 <;É Q

(152) ÉÌËB ?5T? QwË& O +* /.   E F (  E  ) T*  5 +?  ; E  > E  D +?.

(153) %HG > 47 )"G

(154) M ) @NM *> 04 9 046 *> 04 @ )pBM

(155) )CqZ4 ) @N 9 G F

(156) %H G >: ;=<?> 47.  K +?MF  L +?  O T* ) T*.

(157) %HG > N;t<.>47 )"G

(158) MGp-9 046|4Sp'M

(159) )C|qZ47 )"Gj9T9 qZ47 )"Gj9 @   )p'MeGy> =  ( V ' >  "!@#1%. %H24:"%. "G

(160) MTp%9 ). @ )pBM G )C|qZ4 ) $ N9 YG G  Gy> G F

(161) %HG >: ;=<?> 47 )"G

(162) TM p%9. !$% "#&!$Q 1. PsqZ4[ ") Gj9. $/5B Ë ?A

(163) =9ËB ?EÉ zËK ²&3

(164) \=67ÈÌÈ](7zÈ =& A+) $N U'9Í 79zËB((7zÈ =& 5 zÈp Í A

(165) =9BË ?EÉ zËK I²  

(166) \=Á4Ë  7È =& U'9Í 79zËB((7zÈ =&. <R  (7zÈ =&

(167) É  7zÈ 5T

(168) 7uÍ/ 7uÍKÍ>ŒÍ U'9Í 79 q. bËB Í; ,É  7uÍKÍ>ŒÍ. ¯optK|d„ f©‘&I`bope“f¬Æ~¡ru„¡x¡fD‹1yzqsturK„¡opx¡a}e `ba}os~Qfwµyzqs|}yzx¡osrun9¬Æ‹9„ opµKfwn£yzqsturK„¡opx¡a}e o{~mtuosµufwn½opn?¯ostu|}„¡f,gd´°xmfLyuvŒa£opx¡fD„ yzx¡osrun½yµWyu„¡o{yz}qp f Gy>Jos~ so n}vw„¡fDeJfDnBx¡fD‹)´T¼YyuvŒaÎyz}~€x¡„Œyuvx¡osrun¹a}yK~ opx ~Qr &nx¡oseJf“yzn}ndrzxŒyx¡osrun ¢=|dŠ^‹dyxŒyzdqsf

(169) eÁyzŠ y>h¾Â„¡rKe  x r,osnBx¡fDtufw„¨ Y y>47b]91@ ¹e“fDyun}~]x¡a}yzx]x adf©r9‹9Áru¾)x¡a}fmyu}~‡x „ yKvx oprKnb1 yK~]yun}yzqs[ÐwfL‹Áopnx¡a}f ª=« opx¡fD„ yzx¡osrun)´I`badf©¾Â|}n}vx oprK n F

(170) % G >hos~x adfrundf‹9fwÏ}ndfL‹¾ÂrK„bx¡adf}qposn}‹yzqsturK„¡opx¡ade ¢E¯optK|d„¡fÁ”W¨´ ˆQn}f½vwyun ~¡yWXx¡a}yzxx¡a}os~1yzqsturK„¡opx¡ade  yK~ÁeÁyu‹9f½ŠrKŠd|dq{yz„[ĸ[adosµufD„  ~Áx adfD~¡os~D´ Ã?f½ &osqpqm‹9os~ v|~¡~ µyu„¡o{yx oprKn}~Yru¾x¡ado{~byzqsturu„ opx¡ade opn~€fLvx¡osrun19´2ˆQndfTeÁyWJndrzx osvwf x a}yxx¡ado{~byzqsturK„¡opx¡ade A

(171) =9ÈÌÈ Tvwrue“Šd|9x fD~ x adfh¶¸d‰GrKndqpo»¾x¡a}fopndŠ}|9x Šd„ rutu„Œyze ‹9r[fL~€n  xTvrKnBx yzosn}~&‹9fLyu‹1vr9‹9fK´ `ba}f,~ yze“f

(172) vrKe“Šdqpfwº9o»x‡‹9o{~¡vw|}~¡~¡osrun£yu~ x¡adf,rundf,‹9rundf

(173) ¾Âru„Tx¡adf,dqposn}‹£yuqptKru„ o»x ade vwyzn¹Nf,yuŠdŠdqsopfL‹x¡r x ado{~TfDµWyuqp|yx¡osrund¬­‹9„ osµufwnyzqsturK„¡opx¡a}e1* ´ +­¾ s4!  92Ï}ºB¬­ŠNruosnKxmo»x fw„Œyx oprKn}~ yz„ fhŠNfw„¡¾Âru„ e“fD‹ ¢Âqsosndf ; x¡r K ¨¿ yun}‹  &opx¡a}ru|9x‹9fLyu‹±vr9‹9fu¿2x¡adf1¾Â|dnvx¡osruL n :pN ; o{~ÁvwyuqpqsfD‹ &4 !9mx ope“fL~¹¢Âosn fLyuvŒa±o»x fw„Œyx¡osrun;¿Yrundf x ope“fT¾Âru„ s4! 9ndr9‹9fL¨´IÃÄo»x  a G   J D $jqZ476$9&$ @ &4 !  9T9;x adfwnÁx adf F

(174) % G > ¾Â|dn}vx¡osrun·o{~2vDyzqsqpfL‹ s4! 9Ix¡ose“fD~ yun}‹x¡a[|}~x adffwµyzqp¬Æ‹9„¡osµufDnyuqptKru„ o»x ade a}yK~&yzq{~€r“/ y &4 ! 9Y ru„Œ~€xbvDyu~¡f©vwrue“Šdqsfº9opx‡u´. ll/ãm&nïôŒû.

(175) ¤N=}Í>LÉ  wË&5É 2?5ËB7/5¡Í,³`7=9È)¦k5 K?96¦ 7BÇÈ ¦ wË&9 . ”L. *[. 'E.  i.  . D3c3i. . fNdLa2i fNdLh . D%E. c . +Æn1ru„Œ‹9fD„2x r,rKŠ9x¡ose“opÐDfQx adf©n[|de

(176) Nfw„&ru¾vwyuqpq{~]x¡rJx¡adfm¾Â|dnvx¡osrunF

(177) - HG >©osnx adf©Šd„¡fDµ[oprK|}~]yuqptKru„ o»x adeÁ~w¿  f,yundndrux yx f

(178) fL‹9tufL~T[1x¡adfJopx¡fw„Œyx oprKn£n[|de

(179) Nfw„L¿^µ[opfD ]fL‹£yu~my·µ[os„€x |}yzqx¡ose“fu¿osn½ &ado{vŒa¹x¡a}f,fL‹9tuf,os~ yK‹d‹9fL‹´°x2yQx ope“ f h¿z fb &opqsq}yK~¡~¡r9vo{yx¡f]x¡a}fbx¡oseJ f 

(180) = 1]¾Âru„YfLyuvŒa,yK‹d‹9fL‹,fL‹9tufK´`ba[|}~D¿uyzxIymx ope“f `©¿ ymµyzqs|df&ru¾^ymndr9‹9f&o{~YvwyuqpqsfD‹ËB?1o»¾^o»xŒ~Ix ope“f&o{~Itu„ fDyzx¡fw„6rK„IfD‚B|}yzq[x a}yzn h¿Kyzn}‹JvwyuqpqsfD‹RÈsÍbrzx adfw„  &os~¡fu´ Ã?fhvwyun1vŒa}fDv

(181) #Áx a}yxbx¡a}fhyzn}yuqp9~¡os~rz¾IyznyzŠ}Šdqpo{vwyzx¡osrun1ndr9‹9fo{~bopn |dfwn}vwfD‹1[4 ”u´x¡adfÎndfw  yu„¡tK|de“fwnBxµyzqs|dfL~w´`ba}fD~¡f£µyzqs|dfD~e

(182) |}~€xNf½Šd„ ruŠyztKyzx¡fL‹Xx rXŠ}yu„ yue“fx¡fD„ ~·rz¾ œ0 0 ¾Â|dn}vx¡osrunµyzqs|dfD~Iruq{‹·¾Â|}n}vx oprKn1µyuqp|dfL~be

(183) |}~€x Nf yu„¡ndfL‹ru¾;x adfD~¡fndfw Pyz„ tu|de“fDnKxŒ~w´ g9´x¡adfTndfw ±¾Â|dn}vx¡osrunÁµyzqs|dfD~D´ — 0 0 yu„¡tK|de“fwnBxIµyzqs|dfD~Ie,|}~€xYf Š}„¡rKŠ}yztByx¡fL‹x r©x¡adf n}fw  Š}yz„Œyze“fw¬ x¡fD„ ~]yzn}‹ 'œ 0 0 Nr9‹9“µWyuqp|}fD~Yru¾x¡adfL~€fTndfw  ¾Â|dnvx¡osrun~2e,|}~‡x]fQŠd„¡rKŠ}yztByx fD‹,x¡r

(184) x¡adfmyzŠdŠdqso{vwyx oprKn ndr9‹9fu´ ‘d´&yzqsqN¾Â|dn}vx oprKnNr9‹9opfL~2µyuqp|dfL~w´Tn9¾Âru„¡x¡|dnyx¡fDqpK¿ œ0 0 ¾Â|dn}vx oprKnµyzqs|dfL~2e,|}~‡xbNfT¾Âfwx vŒadfL‹·osn·ru„Œ‹9fw„ x¡rÁ„ fx „¡osfwµKfQndfD  Nr9‹9·µyzqs|dfL~bx¡a}yzx&e

(185) |}~€x fŠ}„¡rKŠ}yztByx¡fL‹Áx r,x adfhyzŠ}Šdqpo{vwyzx¡osrun1ndr9‹9fu´ ÃÄayx6 ]f]a}yWµufYtByzosndfD‹hos~;x¡a}yzxrKqs‹,yz„ tu|de“fDnKxµWyuqp|}fD~yz„ f2ndruxvŒadfLv

(186) #ufD‹

(187) yztKyuopn~‡x;rKqs‹¾Â|dn}vx oprKn

(188) µyzqs|dfL~w´ `ba}os~©x ope“fw¬­~¡ru„¡x¡fL‹ÎyuqptKru„ o»x ade o{~h‹9fL~¡vw„¡osfL‹?opn ¯optK|d„ f·‘d´`ba}fÁndfw  F

(189) %HG >Á¾Â|dnvx¡osrun „ fDvwfwosµufL~my NyztJopn}‹dosvDyx¡osndtJo»¾x¡adf©„ |dqsfme,|}~€xbNfvŒadfD

(190) v #KfD‹“¾ÂrK„&y4 Ë £¾Â|dn}vx oprKn)N ´ +­¾I~€r¿[yK~Šd„¡fDµ[oprK|}~]yuqptKru„ o»x adeÁ~w¿ yuqpq)~¡ru|}„ vwfQµyzqs|dfhyu„¡fmµ[os~¡o»x fD‹´Y¯}ru„&rKqs‹¾Â|dn}vx¡osrunµyzqs|dfD~D¿9run}qp·n}fw  ~€rK|d„ vwfQµyuqp|dfL~&yz„ fvŒadfD

(191) v #KfD‹´ `r£vwyuqsvw|dq{yx¡fJx adf·vrKeJŠ}qpfwº[opx‡u¿rundf·vDyzn$ru~€fD„¡µKf

(192) x a}yxL¿ &adfDn yu‹d‹9osndt£yµyzqs|d& f p¹x rx¡adfÁn}r[‹df 3 yzxx¡ose“/ f GŒ¿fLyuvŒa?ŠrB~€opx¡osruH n I rz¾ 3 eÁyW¹x „¡ostutKfw„hyzxheJrB~‡A x Q ! vwyzqsq{~©x¡r F

(193) - HG >: ;=<?>Áyxx ope“f G=1K`´ +Æn}‹9fDfD‹¿N¾Âruqsqsr &opndt“x adf“‹9fD~ v„ opŠdx¡osrun¹rz¾6x adf,yuqptKru„ o»x ade¿qsfxm|}~ ŠNfw„¡¾Âru„ e+y·vwyK~€f

(194) yun}yzqs9~€o{~&rKn x adfŠNrK~¡o»x oprK" n I“´ ”u´*In@ 4[6%3 9 ´Q`badf,ndfw  µyuqp|df p¹vwyz|~€fL~Tyxme“rK~€x0! rundfvDyzqsq¾Âru„&fLyuvŒa΢Eyx e“rK~€x!½¨2¾Â|dn}vx¡osrunrz¾u6“´. vDyzqsqs~ x¡r. g9´*In@ 4 3 9¡´Q`ba}f

(195) ndfD  ¾Â|dn}vx¡osrunzpx¡„ optKtufD„ ~&qsfD~ ~Tx¡a}yunQ*! x‡ ]rÁvDyzqsqs~x r/F

(196) % G >B´. F.

(197) % G  > : ;t<.>JyxQx¡oseJf. vDyzqsqs~myxQx¡oseJf. G =1>. G=I1

(198) ‹9|df,x¡rx¡adf. ‘d´*I @ Å?0 3 ´“`badf“ndfD 'µyzqs|dfWp£vwyu|}~¡fD~yxe“rK~€xN! vDyzqsqs~mx rF

(199) %HG > N;t<.>Áyzx©x¡oseJf/G =?1u´ ˆQndfQvDyzqsq}¾ÂrK„2fLyuvŒavDyu~¡f

(200) ¢=yzx]e“rK~€x#!½¨Y &adfw„ fmÅ?0 3 os~y¾Â|dnvx¡osrunyzqNµWyuqp|}fTrz¾;yunyzŠ}Šdqpo{vwyzx¡osrun)´. +­¾b fÁndrzx f ª x adf·n[|de,fD„hrz¾bµyzqs|dfD~hyK‹d‹9fL‹½x rz>yzxx¡oseJfcGŒ¿1< H ª x adfÁn[|de

(201) Nfw„hru¾ F

(202) % G >: ;t<.> vDyzqsqs~&yzxbx¡oseJfVGŒ¿dx¡adfDn1 f†‡|}~€x Šd„¡rµKfD‹·x¡a}yzxu< ªP / QM!2G HKJML " $I (*)47> 9&$W´N+­¾ ]fn}rzx¡f  x¡adf n[|de,fD„&rz¾Ïdº[¬¥ŠNruosnBx&o»x fw„Œyx¡osrun~m¢=oEH ´ fu´Yx¡adfq{yu~€x&µWyuqp|}fmru¾ Gy>¨¿[x¡a}ª fwn G <  P /8G ª Q*! G HKJML ª H "$ I (*) 47>9<$ ª

(203) ª @8Q*! G HKJML 4 G. 9 "$I (*) 4[> 9&$ ª

(204) ª @8Q*! G HKJML $jqZ47> 9&$A"$ I (*) 4[> 9&$ / ! ¢=~¡fwf~€fLvx oprKngd´ ’[¨ `ba}f©x¡fw„ e G < x ~x¡a}fhn[|de

(205) Nfw„ ru¾x ope“fx adf

(206) yuqptKru„ o»x ade „ fDyKvŒax adfhqsopndf  K ¿N &ado{vŒa

(207) rK„ ‹9ªfD „P x¡„¡a}fDyuŠdn1„¡fLqs~€osndfDnBfD~ ayWµufmx¡adfh~ yze“ª f  5 ¿  D yun}‹  L ´]¯drK„bx¡ado{~ q{yu~€x&qposndfK¿} fh~€|dŠ}ŠrB~€fmx¡ayx x adfw„ f©os~ y H. ~t * l ~Ìù.

(208) ¤ 2¦9§

(209)  ÈKÉ. + @!;$C' G F.  . ”K”.

(210) - HG >: ;=<?>47; jM ;y9. ¦'975  33 5T

(211) ?=35

(212) É Ë$Ç

(213) §=9È. (+?MF  ) +?  5 T*  ; T*.

(214) %HG > N;t<.>47 )"G

(215) MGp-9 046|4 p CqZ47 )"Gj9T9

(216) !$% "#&!@Q qZ47 )"Gj 9 eqZ4[ )"Gj94Pz p@kI CRI (*) 4[ ) Gj9 G F

(217) %HG >(I. > T * F D T*  K T *  L T*  O T*  T* ( T*  ) T*  5 T*.

(218) %HG > I (*) 4 IXMT ) G

(219) MTp$@ ÅKA]0 2s9 046|4II@I47 )"G/:9jCW9 >  > A-> ) 4 p-9  >  >A.> ) 4[p%94Pz(I$ @347:  CqZ4[9G% 9 G F

(220) - HG >: ;=<?>4 AMT-9 @34[ CqZ472&9G9 G/F

(221) % G >: ;t<.>4IXMT9 046|4 II@I4768 )"Gjj9 C&9 @3­4 Å ?0 CqZ476$9G9 G F

(222) - H G >: ;=<?>4 4MGp-9 046|4 IIG @ Å %0  )"GC' 9 @347 C >  > A.> ) 4 I$9Gj 9 G F

(223) %H  G >: ;=<?> 47 :MGp-9. . . QÍuÍs(7zÈ =& p?ÉÌ˽Ë4DÍ Z  . (*)4. IXMT ") G

(224) MGp-9. . . .  "G ). ²I 

(225) J=JÉ A z7 È 5T

(226) 7uÍ/ 7uÍKÍ>ŒÍ TÍKÍ:C ((7zÈ =& U&d>Í 7/ S

(227) 7> JK(É ¥É Ë. U&dÍ>79ÁÇ  K(É¥É Ë ²N7? U&dÍ>79 5TŒÍ>< ²N7?. ) 5. ²N7?. ¯optK|d„ fm’'YƒrK~¡o»x oprKn9¬­‹d„¡osµufDnyzqsturK„¡opx¡a}e vwrun}~€x yunBx]x ope“fhyzqsturK„¡opx¡a}e ¾Âru„bx fD~€x¡osndtJx¡a}yzxTy,µyuqp|df©NfwqsrundtB~x¡rÁy“~€fwxD¿9x ado{~&vwyzn1NfhyuvŒadosfwµKfD‹· &opx¡a µyu„¡o{yx oprKn}~run1do»x¡¬¥µKfDvx¡ru„Œ~D´ Q|df]x¡rQrK|dn}‹9fL‹fD‹9tKfD~rz¾9x adf]tK„ yuŠda)¿LqposndfL~  O yun}‹ ) 2vDyzndndruxNf2e“ru„ fYx a}yzn &4 !  9 ´I®]rKe“Šdqpfwº9o»x‡ yun}yzqs9~€o{~Qrz¾Yx adf,}qposn}‹?yzqsturu„ opx¡ade+~ yzo{‹¹x¡ayxhyzqsq6rzx¡a}fw„mqposndfD~©vDyzndndruxmNf“e“ru„ fhx¡ayzn &4 ! 9 ¿x¡a[|}~  fvwyun1vwrun}vwqp|}‹dfQx a}yx&x adf ru„Œ~‡x&vwyK~€fvrKe“Šdqpfwº9o»x‡·ru¾x ado{~x¡oseJfw¬­~¡ru„¡x¡fL‹yuqptKru„ o»x ade o{ ~ &4 ! 9¡´ ¯}ru„bx adf©qposndfD ~  ) yzn‹  >  ]f©tKopµKfTx adf„¡fL~€|}q»x&rz¾x¡a}b f #[osqpqsfw„ ~¡fw„ osfD~brz¾6~€fLvx oprKn’´IÃÎfvwyunn}rzx¡f©x a}yx qsosndV f  ) vDyznJ„ yuos~¡f2x r©’“¢=d|9xYx adfwn“e“rK~€ x qZ4 ) @N 9;e,|}~€xYfbfwe“Š9x‡d¨rK„Y‘Jt¢ qZ4 ) @N 9vwrunBx yuopn~Iymvwrun}~€x yunBx n[|de,fD„Qru¾Yµyzqs|dfD~Œ¨´©`bado{~Qvwrun}~¡os‹dfw„Œyx¡osrun¹o{~myzq{~€rµWyuqpo{‹¾ÂrK„Qqsopn}f  >  &adfD„¡fhx¡adS f #[opqsqpfD„m~¡fw„ osfD~ „ fDyKvŒa x adc f s4! 9¡¿d|9x

(228)  &opx¡a ydopx€¬­µufLvx¡rK„ope“Šdqsfwe“fDnKxŒyx oprKn½x ados~

(229) qposndfÁeÁyW£ado{‹9f· y s4! 9QvrKe“Šdqpfwº9o»x‡ ¢Âx¡adf, &adruqsfhµKfDvx ru„Qe

(230) |}~€xTNf,~ vwyzn}ndfD‹1x 6 r #[ndr Px¡a}yzxQopxm‹9r[fL~€n  xQvwrunBx yuopn}~QyÁndfD  µWyuqp|}fL¨¿Nrun}f

(231) vwyun ~¡ruqsµufTx¡ado{~bŠd„ rudqsfwe  &opx¡aNrzx a1y,dopx€¬­µufDvx¡rK„yun}‹y

(232) x¡ose“f¬Æ~€rK„€x fD‹qpo{~‡xb¾ÂrK„n}r[‹dfmµyuqp|dfL~©¢Âo¥´ fK´Iqposndf/ O Š}|9xTyJdo»x osn1x¡adfµKfDvx¡ru„&yun}‹yu‹d‹x¡adfn}fw PµWyuqp|}fmosn1¾Â„¡rKnBxbru¾x adf©qpo{~€xŒ¨´ ®]rKn}~¡os‹9fD„¡osndt

(233) x¡adf©dqsopn‹yuqptKru„ o»x ade¿B fma}yWµufQtKyzosndfL‹·run}fQrK„ ‹9fD„brz¾;eÁyztKndopx¡|}‹9f©[·vwyun}vfDqposndt“~€rKe“f vDyzqsqs~&x¡r F

(234) - HG >

(235) x¡a}yzxTa}yWµKfhyzqs„¡fLyu‹9fDfwn£ŠNfw„¡¾Âru„ e“fD‹?´ `bado{~TyzqsturK„¡opx¡a}e o{~ s4!  9]rKndqpfLvwyu|}~€f s4!  9hopx¡fw„Œyx oprKn}~JeÁyW fŠNfw„¡¾Âru„ eJfL‹´±¯}ruc „ s4! 9opx¡fD„ yzx¡osrun}~D¿Yx adf¹vrue“Šdqsfº9opx‡$¾=yzqsqs~Á‹dr &n x¡r s4!9¡´. . *[. . 'NE. c E ^ . D%E. i$^. fgdLh . D%E. c. `ba}f]vrKe“Šdqpfwº9o»x‡yznyzqs[~¡o{~rz¾9x adf2x ope“fw¬­~¡ru„¡x¡fL‹yzqsturu„ opx¡ade ~€|}tutufL~‡xŒ~x a}yxL¿ &adfwn

(236) yK‹d‹9osndtQyTndfw  µyuqp|df x r£y¹ndr9‹9fK¿ x adf·ŠNrK~¡o»x oprKn?ru¾bx¡ado{~hndr9‹9fos~hvw„¡|vo{yzq¥´`bado{~hosn}‹9|}vwfD~hx¡adf·ŠNrK~¡opx¡osrun9¬Æ‹9„ opµKfwn$yzqsturu„ opx¡ade. ll/ãm&nïôŒû.

(237) ¤N=}Í>LÉ  wË&5É 2?5ËB7/5¡Í,³`7=9È)¦k5 K?96¦ 7BÇÈ ¦ wË&9 . ”Wg. tKopµKfwnÁosn¯optK|d„ f ’}´6¶)fwx  ] ~ yun}yzqs[Ðwfbx¡a}fQvrKn}~¡fD‚B|dfwnvfD~2rz¾)yu‹}‹9opn}t,yndfD Äµyzqs|df p$@ Å ?0 2 x r,yndr9‹9f 3#yx yJŠNrK~¡o»x oprKD n I“´ ”u´bÃÄadfwnDII@a4 3 :9 ¿[x¡adfQ¾Âru„ eÁyzqNŠ}yz„Œyze“fx fw„ “e“yWÁ„ fDvwfwosµufT~¡rue“fmndfw GµWyuqp|}fD~]µBo{y$h¿9yzn}‹ I eÁyW·„¡fLvfDopµKfQndfD  µyuqp|dfL~bµ[osy,x¡a}fr9‹92·´ g9´bÃÄadfwnRII@I476. . 3. 9¡¿[¾Âru„ eÁyzqŠ}yu„ yue“fx¡fD„ ~]rz¾Iyzqsqµyzqs|dfD~bru¾36'eÁyW·„¡fLvfDopµKfTx ados~ ndfw . µWyuqp|}f:p´. ‘d´bÃÄadfwn Ia@GÅ %0 3X¿ufwµKfw„ 

(238) yzŠ}Šdqpo{vwyzx¡osrun“ndr9‹9f  &a}fw„ fbx¡ado{~2yu}~‡x „ yKvx oprKnJo{~YyuŠdŠdqsopfL‹“e“yW,„¡fLvfDopµKf x¡ado{~,ndfw  µyzqs|dfspN´`ba}os~,~€fwx

(239) rz¾ yzŠ}Šdqpo{vwyzx¡osrun$ndr9‹9fL~ho{~hosn}v„ fwe“fwnBxŒyzqsqp?vrun~‡x „¡|}vx¡fL‹Î[Îx¡adf ¾Â|dn}vx¡osrun >  >A.> )΢  V rs4W9ƨ´½`bado{~

(240) ¾Â|dn}vx oprKn o{~

(241) |dŠ^‹dyzx¡fD‹ fDyuvŒa$x ope“f1y¹ndfw  µyuqp|dfos~ yu‹d‹dfD‹x¡rJx¡a}f©¾Â|dn}vx oprKnŠ}yz„¡x&rz¾IyznyzŠdŠdqso{vwyx oprKn?¢=n}yze“fDqp·osn1x¡adfhvDyu~¡f“”L¨´ `ba}os~Qyzqsturu„ opx¡ade os~Qopnx adf,~¡Šdos„¡opxTru¾Ix¡adfhrKndf

(242) ‹9fL~¡vw„¡osNfD‹osn½°6ufD„ ~  ~&x¡adfL~€o{~ Üg­´`+­xTadostua}qpostuaBx ~T &a}yx y,vrKn}~‡x „ yuopnBxŒ~2~¡ruqsµufw„]os~osnBx¡fwn‹9fD‹·x¡r,‹dr&6„¡fL~€rKqpµ[osndthfL‚K|yx¡osrun~2[J¾Âruqsqpr &osndtJy

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