• Aucun résultat trouvé

An Average-case Analysis of the Gaussian Algorithm for Lattice Reduction

N/A
N/A
Protected

Academic year: 2021

Partager "An Average-case Analysis of the Gaussian Algorithm for Lattice Reduction"

Copied!
33
0
0

Texte intégral

(1)An Average-case Analysis of the Gaussian Algorithm for Lattice Reduction Hervé Daudé, Philippe Flajolet, Brigitte Vallée. To cite this version: Hervé Daudé, Philippe Flajolet, Brigitte Vallée. An Average-case Analysis of the Gaussian Algorithm for Lattice Reduction. [Research Report] RR-2798, INRIA. 1996. �inria-00073892�. HAL Id: inria-00073892 https://hal.inria.fr/inria-00073892 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..

(2)   

(3) 

(4) . $. %. $ $. &(')+*-,.'#/10*(2' 4D,E:F)G8<>=3H. $ ;:F). %3*(46572892 IJ*K<L<M80N'.

(5) ! "#

(6)  . :(; O. <>=?'. MUWY XVdfUWVM~u€o. a‚M

(7) LLƒ. ISSN 0249-6399. apport de recherche. 1996. *BAC228"*C%. 'QPRAS0F<M8:T%.  UWVXZU> Y []\6^_U1 Y `ba9cbdfefdhgigjUDek[WlnmoefUWpM`bq VdfrodfppsUt_[]efeuUWY U. vxwCy z|{}. @.

(8) ! .

(9)  

(10)     !#" $%'&( )* +*

(11) , -" $%. !/, 01 "" *32 4%)5" * 6#78:9<;>=5?>9A@CBEDGFIHJ>KALML/NOJ>PQJ>RTSVUVWXNZYOD[]\<U>W,R^J_YOY-Na`MFWMFCbVK `MY-NaU>P1NcP#b>Nc[#F:PLXNaU>P#deNZLfJVPgJ>Rih_L<FCb%KPgbAFXWjNZYOL LMYJVPgbkJVWCb%lF:WMLXNaUVP m nMY NZL \<UVKP5beYODGJYao p D FXPqJMrArgRsNOFCbtY*UeWCJVPgbkUV[uNvP>rgKAYOLNcPwJx`MUVPYyNvP K U>KALz[#U<bAFXRToYaD Fe`CUV[r5R^F/{N|YyhxN|LI`MU>PGLCY*J>PGY,UVPwJVlF:WCJSVF/o YODGF,rgWMUk}MJk}:NcRsN|Yyheb>NZLMY-WXNa}:KkY-NaUVPQbkFM`MJ>h_LjSkFCUV[~F/Y-WXNa`MJ>RcRih_oJ>PgbtYODGFeb>h>PgJV[€NO`MLNZL`/DGJ>WMJk`/YF:WXNZ<FMbx}:h€J1`CUVPgb>N|YyNaUVPgJ>R5NcP l>J>W:NaJ>PY [#FCJLXKWMFXm‚BEDGFƒrgWCU_U-\/L[~J„VF%KAL<FzU\z`MU>P PgFM`MY-NaU>PGLt}MFMY-pFMF:PQR^JYaY-Na`MFjWMFMb>K `MY-NaUVPoƒ`MU>PGYyNcP KGFMb,\XWCJA`MY-NaUVPLMoƒ`MU>PY-NcP K JVPYaLMoJ>Pgb \XKPg`/YyNOU>PgJVRUMr F:WCJ_Y*U>W/L/m†ePgJVRsh_LXNZLxNcPqYODGF1b>N|L:`:WCF/Y*Fe[~U_bkF:RJVPgbQbAFMY*J>NvR^FMb#P K[#FXW:Na`MJ>RbAJ_Y*JQJVWCF1J>R‡L<U%r5WCF/L:F:PY*FMb>m. ˆ%‰  3 +.ŠE‹43XŒa 

(12)  "G$%.4Ž&( )%4%E 4)%5"G‘4 ’%   )j“ ”– • 8:— ˜™– • @ š › gœ A :ž Xž GŸ X Z› X ž k e  ¦ž V § :ž V¨ cœ   5ž ž ©› ª¢ xœ k Z ž Qœ k› Zž Z¨ A k¨ V¨ Xž Vž*ž œ <œ ¡¬ A› c  X› :  X ž €œ A k  Z > k§ Xž Xž%¥ k ¥ kœ A ž#œ k Z Xž œ A Z > *ž ž#¥ Agœ A  Zž_§ I A  Xž% › c  Xž :ž ž*ž Xž : k§ . ^dfpU. ek[. []efrom€Vdfpc. p [ j^b[ V ^ 6eDU p. ^d pVsd b\bpdfm G^U. gj[ V\ bU V [. ^m. psdhm. UWY U. ^U. sdhpbU Y. m pd \bU. U^UVbU Y ^\. psdhm. ^U VbU Y sUu[]\. UWY p [ befdDd d o\iUo` mo\ \. gbVsm j[ bdfefdhpbU Y >[. m j^dfpdfm `. d UWY U. ^U. ^d. Vsm fp. `9UWp1mogUWY V [ pUW\bV. sdDgbVbU Y U. pbUWY U. U. dfm >ƒ. m pd \D`. rUWY m #UWY psVd €\bU. bUWefefUd Xo[]Vsdk[ pU b U giVUW\bX€U. m pd \j[ p. \ #UWY Vsd o\iU _U p[ \. m. U. mb^ UWefU. m. [. U. :ž £¡ ¢ ž*ž Xž V Z¤ž jž ž,ž I¥ › /Ÿ :ž zœ k ž > X«› >¤ :  x  > Zž€  G¤ >› c  :ž Qœ kœ ^ž GŸ A ž X gœ k Xž Xž Ÿ > ^¤ž › ¢ ZžCœ Qœ A›. €\bdbU p_^ \. nm. [‚M[ \. dfpbU Y U p. pp [ j^d. m p[ gbgjU e|[]\. psdhm. giehU. €\bU1ek[L^. VsUWek[]psdhm. bUWe | bUL[ j[ e. nm. sU. ^ \. U p_[ j[]e. bU Y smo\. sp [ psU>U 6[. m oU. d €\bUMU p. ^d. VsUWp. moV. U. €\bU. W[ V [ npbUWY Vsd bUWY U. U pVsU>VbUuY ^\ npdfm mb^ U ehU. [. bUUWp. m. ^ U VbU Y Uu[ \ D` gbe UWY pbUWY U. ^U.

(13)  

(14)  !#"$  %&'()* + (,"+./,#,0  1%#+ (2 43 > 65 78:9<;&=?>A@&BC9EDDGFH>JI L4K MAN6OQPQL4RSLUT(P&VWLSXYNZPQ[ L4K R*N6P]\_^(`WL4a > b X c @ TH\_dGL4OQa]F \_P LSK VWL = OQeZdLUTf4L > gh OQ`WL/ij_kZe6lm\_eP]vn wWb x6`WyWO]wW\_Lz({i:|(np}6o ~Wg6Wq €Gƒg ‚„y(XY JN6€UOQ†WaQ‡‰LpˆW\mlmŠWl_L ?‚]b ‹GL4ŠVŒ LUrso g t iOpN6TWf4LZu  9 l_ŽeGO]\_PQ[Ra = OQeZQL4f4P > j cQ‘ B c 9 n B e(f4v –^(—J`W€GL4˜TW€4f4~(e~A`WzƒOQP ‚]> ™(i:˜Gx(n“’š(”H›o˜(F zg œ{8 €L WŠžb €Z[WxƒL4‚ŸaQ‹(TAŠN‰Œ • t iOpN6TWf4LZu >  ¡ B£¢ƒ¤ b >¥@&BC9 o FGD¦(>JI LUK MžNZOQPQL4RSL4T(P§V:¨ c]T(©ŸjeOQR*N6P]\_^(`WL > @ T(\_dLUOQa]\_P LSK VL b NZL4T > i:npo q(ªGg D b N6L4T t iOpN6TWf4LZu > v «(Šž€Z|ž€Z(Wzƒ‚­¬Wx˜(˜(zGz({H€4 W‹œ›ƒ‚­y J€Z®(x(z4 ¯‚­‹(ŠŒ j °±ƒ²4³4´Zµ¶(³G· ; [L ¡ N6`WaQa]\¸N6T¹><N‰À l_ŽeGO]\_PQ[Rº©ŸeGO»l¸NZPQP]\_f4L¼OQL4VW`f4P]\_eGT\_TV(\_RSL4TWa]\_eT D \_aNZTžN4l_•(aQL4VY> `WTVWL4O\_PQaCaQPpNZTVAN6OQV dL4OQa]\_eGT:jc½P¾\_aS©Ÿe`WTWV¿> PQ[AN6P [L4T NZMM(lm\_L4VPQeÁOpN6TWVeGRÂ\_TMW`WPQa\_TNYf4eGT(> P]\_T(`eG`aYRSe(VWLl PQ[LYf4eGRSM(l_L4r\_P]•+\_a f4eTWaQPpN6T(PƒeGT/N4dL4OpNZŽL PQ[WLMWOQeÃAN6Ã(\mlm\¸P]•/VH\_;aQPQO]\_ÃW`P]\_e(TVWL4fZN4•(a?ŽGL4eRL4PQO]\_fZN‰lml_• N6TWV¾PQ[WL<V•(À TAN6R¾\_fUa?\_aƒf[AN6OpNZf4PQL4O]\_Ä4L4V > Ã(• N,f4eTWV(\_P]\_eTAN‰l/\_T(> dNZO]\¸N6T(PYRSL‰N6aQ> `WOQLj [WLYMOQe(eZ©ŸaRN6ÅGLY`aQL#9 e6©Æf4eTWTLUf4P]\_eTWaYÞL4P L4L4T+l¸N6PQP]\_f4L#OQL4VW`f4P]\_eGT f4eT(P]\_T(`WL4V ©ŸOpNZf4P]\_eTWa fUeT(P]\_T(`AN6T(PQa N6TWV©„`TWf4P]\_eTAN‰l<eGMžL4OpNZPQeOQa4j TžN4l_•(a]\_a£\_TÇPQ[L¼V(\_aQf4OQL4PQL¼RSe(VWLl»N6TWV VWL4PpN‰\ml_L4V T(`RL4O]\_fZN‰l<VAN6PpNNZOQL/N‰l_aQeMOQLUaQL4T(PQL4VJj  UWVXZU> Y []\6^_U Y ]`ba9cbdfefdhgigjUMek[Wl moefUWp ]`b[ 6^. q Vdfr€dhpspUt_[ ehe UWY U. É ,"G j4)5"  È. cœ 5œ k A¨ X› œ k ž ^ž *ž ZÊg Z ž Q¨ >ž Zž >¥ cœ >¥ 5œ >ž kœ : V Z Z¤qžpË Z̍¨ Vž Zž<§ Zž gœ A k¨ X› ^žÌ ÎÍA˝ (Ìj «¨ qœ X ]› V¤ Vž V¥ _Ÿ Z› k > Z› ÐÏ kÌ œ A ž <  :gœ Xž Z‰œ k› A j ›#¨ ¤ jœ ¤ ¤ > ž*¤›#¨ cœ œ A› A § - Z› : ž kÑÒ cœ gœ Ax› _¤j¨ ZÌ Vž I› >¥ gœ > › V >¥œ k ^ ¥ Aœ A MŸ V ž k ž<§ cœ gœ k©r FXW%L<F ^¤#ž ÁÌ ž*ž¼Ì > › jž Xž k¨ X› MŸ kœ Z¤ ž Z YÌ Xž X›#¨ Xž i¥ Z V¥ gœ > › Í ^› X ž A cœ Xž_§ - <œ X Z› Xž V Z› V ZžCœ *¤Ì >ž › ¨¤ : ž : ž V VžpÏ ^ WÓ YÔmÕ 6Ö (ÕWלØpÙ › œ › Zž V¨ ,Êg gœ ]¨ >ž Xž Z Z› : ž k ž/ÑÁÚÛÕ § › ž i¥ Gœ že¨¤#ž :ž¨ Vž A ž*ž V › >ž x› Z gœ k©ž § gœ > › V #œ k ^ «¥ Aœ k › #¨¤q (Ì >ž k V¨ Z¤+Ì  *ž >ž žQœ A› MŸ -¤£  Xž k ž_§¯Ü% š ž#¨ WËÁÔ Ø Xž kœXœ  Ó A§ A› Xž ž >¥ Ý *ž Z >¨ XJË V X ž X¤ e¥ (Ì Z e¥ Aœ *ž ˝ (ÌjE§ Ì *ž zœ Vž €œ k› /Ÿ -¤ >¥ gœ V › Zž/ÞYß §à+á&Ì X Z *ž j› kž ¼à$ß >› V Gá6Ù xœ Vž A V k› Z ž Zž Zž › cœ,ß iŸ A Z¨ A âáZÙ Zž Z¨ A V¥ © ›#¨ V¥ k ž k¨ X¤ž Z >ž¤› cœ Z› ¦ › ÌãÌ Vgœ Zž › ^œ¾ß <œ X :ž V¥ X ž X¤Já:§ 1ž A› œ A  <œ k žx¨ QÌ X Xž Xž > V Z > j› Vž x¥ Qœ A Z ¥ kœ A V ž-¥ *› AYÌ kž MŸ Zž Xgœ Ì Vž&Ê *ž zœ A <œ ©¨¤ žž > Z Zžœ : *¤«¨¤ ¤ > ãÜ JÏX› Z § kž V¥ :ž Xž *ž A¨ ^ ¨¤› V ž V¥z¥ gœ A *ž œ A Z ¥ kœ A ž > «œ k Z V ž >¥§Ì cœ MŸ X ž ž Ì ¨ €› k§Ý /¥ Z |œ Ì pËž >¥ Ý *ž Z #Ô 6Ø >¨ XJË ,Ô ‰Ø _¤ ¾Ô ä GÓ Ø > : ž X¤¿Ô 6Ø*§ Zž Xž > ^¤ž ^ž >¥ ž*ž V › E¨ Z £œ Vž > Z k¨ V¨ -¤§ ¸Ë ž A 4Í Z› X ž k œ  › ZžS˝ (Ìj w¨ >¥¼Ì *ž QÍ œ >ž › cœ cbULek[ ppd U d bdfpdk[]efe. VUu^\. €U. [ 6^mogbpsd m. d u[]psdfm. U. dfpsc ^UWUWg. dfm. m psd \bU ^. ek[]pspd U. ] >VsU. pciUWdfV. m. pdfm. U bgj[. U ppsd. U j[. U. cbU. pse. m. pscbU. efmor. d bgb\bp. d. cbUWVsU psdhm. []VU. pV [. \. psdhm. d. m. bm. 6[ d. pm. m >[ek[]ppsd ULm >9\. jU. U pV []epm. gb\bp []pdfm j[]e \. efd ^ Uu[. [. 6UWV1pciUWmoV. `. g6[. UrodfXoU. [. [ VUu[ >m []gbgiVm bd. V. gj[ gjU V. gbVsm j[ bdfehdfp. d. d. []psdhm. m. bU. psdfm. cbm sUMU bd psU. m >pcbU UVU s\befp. m pd \j[ om. giVm]Xdk^U. p m. befU [. `€d. [ befUMpm. m psd \bU ^. moefefm d br. psm1d. V [. jmm. [. gipmor€V [ gbc. []psdfm. `[ 6^. 6moefd. [. p [ VU. bm. [ VU. cbU. m p. ZmoV sp. [. U. [. jV sp. m ul U np\bVsUu^. [ VULm bp [ d iUu^ dfX€U1\ U. Uu[. dfehe 6U. sd. m MpciU. U. ‚M[]\. m€\ pUWVsgj[]Vspu`pcbU. ‚M[]\. m. \. efU. U. W[ U. nm. \. giehU. spUWg. d Xo[]Vsdk[ p. [ j^. ZUWefe\ j^U V psmm ^. dfp. m 6U. d pcbU. efU. Uu[ \bVsU d. efdk^Uu[. W[ UMm LV [ j^m. dfpsUWV [ pdfm. gbVsm]XoUu^. VsU \iehp 1m. m pciU>9\. [ X€UWV [ roU. 6UWV1m. sdhm j[]e. ` ~ j`. 6cbU1D. psdfm. VU nU pVU \befpm " U. pcbd. moVpscbU U. m. psd. ps\bV. VsUWek[]pU ^#psm. UMVU UWVMd Lgj[ Vpsd n\bek[]Vpsm. m. pcbU. \iUu^. UWY X. psd. _m€V. \iUu^. m. . dk[ []efrom€Vdfpc. [ ehr€moVsdhpsc. ^ d. dfm. psdhm j[]em€gjUWV []psmoV. [o^UcbU VU. ƒ. m€\ p1pdfefe~u b~ |iVm. \igbVbU Y bpscbU. pcbU^d pVsd b\bpdfm +m MpcbU d. U. [ d >VsUu^\. bm -VsUu[ sm j[ be. [ #UM Y [ j^. Upc6[]pd efmor [ Vdfpc. []efe^d. [ pscbU. pdfm []efrom€Vdfpc. psm. psV [M[ j^M m]X[ Y Zd L~  €ƒ. j[ sU Md. 6UWp ZUWU pscbU U1giVmog6UWVspdfU 1[ j^L[. ^UWp []dfefUu^[ j[ e sdfm j[ e. U ^. [ ehr€moVsdhpsc. ‚MG[ ehr€moVsdhpsc [ j^. cbm1r[ XoUM[ L[]efr€moVdfpsc. efdk^Uu[ L[ ehr€moVsdhpsc. psV [b` U. 6^LVsUu^\. efdk^Uu[. dfpcL‚M[]\. f~o~ gbVm]Xdk^U 1[^UWp [ dfehU ^[. psUWroU V M[]p. Xo[]Vsd [. cbd scLU bpsU. U. M U. sd [. h~ `bL[ oUWV h~ `D~ ` ~ b` ~  `b[ 6^. j d €U>dfp m bU b^d. sp [ VpU ^. efd pd brMm pcbU>"\. [o^U. pscbU>‚M[ \. m D`_ UWdfe bVm. dfpcL[. VUu[ efe. [. m. UWVsU_[ Xo[]p []V m bpscbU "\. psdfm. m]X€UWV. \bpsc. [ ejek[. U>^ UWUWg. ƒo `bqZ[ 6U. pcbU. []gigbefdhU ^. moV. m sp. [ j^. ciU. bmoV. 6UZX dfU ZUu^M[ |[. cj[ pVU sU. j[ Uu^. efU `bpciU. m. Z. M[ j^. #dfV sd br cbd. dhp[. [. D[]efr€moVdfpsc. U. []e smehm€r [ Vdfpc. gbpsmopd ehd. \ d br. €\bU spdfm. []efr€moVdfpsc. d. psdhm. p []roU. gbefU bdfp. €mj`j[ j^. V [. cbm€Vp. _UWefe. U d. gjm€Vp [ pD^d. 9\ nehdk^U [ []efrom€Vdfpc. #dfV sd brj`bqZ[ 6U. [ 6^. j^d brG[. j[]pspd UMVsUu^\. ` [ >d. [ efromoVsdfpc ` W[]efefUu^. VU r []V ^. V [. d. U €\bU. dfm. []efr€moVdfpsc (dhp UWe gbVsm nUWUu^. [. sd sp. F~o` ek[]ppsd UVU ^\. V [. pc6[]p m€efXoU pcbUgbVsm befU. [. nm. psdhm GgbVsm befU .d. gb\bp []psdhm >^d. m. pdfm gbVm befU. j[ d cbd MVU ^\. d. ` jm€pc#d pcbU[ XoU V []r€U. im. psm. 6U1m. ZmoV sp. W[ sU. W[ U[ j^ efmor[]Vdfpsc. d. d.

(15) œ A› œ  (Ì Í Zž Í. MŸ -¤ Xž >ž/Ô Õ6Ø Ì ¨ Xž Až*ž ^¨ e¨  žj¨ ^ #¨¤ Ô 6Ø V ÁÜ Z¨ SÔ G×6Ø*§ A¨ >¨ Zž |œ¦¨ V¥ ž*ž V › * ž «¨ <œ >¨ ^¤  X <§ z› Z :ž *ž >¥ >ž‚¥ (Ìjž_§ 4ÍGœ Vž jœ k› MŸ -¤ >¥ žž > › ßa› >ž Z  ›#¨ >¥ k ž ¥ › :á >ž¤› cœ Z¤#œ k ž V V ž Xžž X ^¤ Z : X >¥ ež ÐÏ >¥ Z <œ *ž_§ ^ž ^¨ k >¥ z ›#¨ >¥ k ž ^žœ Až Z¤ _Ÿ ^› 1¨¤ A› cœ Ìx§ Zž XžCœ Z¨ Xž A >¥ Z MŸ <œ k >¥ ›£§ % #¨ Z žSÌ V Z X ž -¤ V¥ Z ž xž k› k› ZÝ Zž X ž -¤ Z ž A› Z _¥  A ž V¥ › Ý Xž >¨ Zž e¥ (Ì Z Xž

(16)  Í ¤ V› cœMž >¥ › Zž  1¨¤ ßyœ A k Ÿá Z› 5› Vž œ A ž :ž V V¥ Z› ,› Vž ¼Ê ž A¨ ž q¨¤ ž*ž‚¥ fœ k Z ¥ kœ A ž<§ - Zž ƒÌ €› kž Z¤Q¥ Gœ ž k V Z¤ž Zž V¥ÆÌ SÌ #œ  *ž >  ž k >¥ žž > gœ A › :Ì cœ X ÐÏ Xž ž V gœ > ›£§ <œ ^ž ©œ Aœ ÐÏ k ž >¥ ¨ >¥ › : k§ - cœ A› cœ V¥ <œ Vž V¥ ^ž ^¨ k >¥ œ Až *ž V ^› › Vž MŸ Xžž ]ž Z› Z¤ Z ›Qž V¥ž <œ Xž >¥  _¤ *ž : ¸Ï k  A¨ X ž œ >žž cœ Z¤ >žž œ ÁÌ 5œ š ž ›£§ > ^¤ |œ Xž *ž 1 Z¤ MŸ Xž*ž >že› ^¥Êg 1ž › ž Z Z #œ A Z > *ž >¥jœ k Z ¥ Aœ A *¤§ %ž€ž gœ ž › ž X «¨ €ž (Ì Z¤’œ k X Ež k› X A Zž Zž k¨ Z Z _œ Zž Xž Z› Xže¨¤©› > ž >¥‚ž V¨ ~œ k X5œ AœXœ A <œ  c  Xž_§ Z ž >gœ <Ì :ž  V¨ Zž jœ >ž fœ A› MŸ -¤ V¥ › Zž Vž*¤› |œ jœ k ž V Ò mÕ GÕ WäHÖWÖ 

(17)  œ Vw¨ MŸ :ž*ž +Ì x ›#¨ >¥ X› pË V¨ z  V Xž ÐË JßQÕWá V › V¥ › X  § % ž*ž > › Zž ž >¥fœ A› MŸ -¤ÞYß Gá âÌ |œ Zž >¥ V  : %¥ k› Ì *ž *œ >ž k§ eœ >ž >¥ ^› X ž AÇÑ Ò M¥ *žjž A Îʪœ > ^¤t¥ A› *ž 4Í Z› X ž k > V /Ì q¨ >¥ Z Xž › Z #Ì cœ MŸ X ež gœ X k› X A Xž Z› : ž k ž<§ V Z¤ cœS˝ (Ì >¥ › Z ^› X ž A ž Zž V¥Iœ ž Xž*ž Vgœ ¨ > SÔ Ö(Ø ¤1ž gœ:œ Z Z › ZÌ : Ñ(Í Z› X ž k |œ Xž Vž V 4ÍGœ >ž eœ k› MŸ -¤ Zž‚¨  1¥ k› >¨ %¨¤ ¦œ k ž V  Ì SÒãÞsߓў3 'ўá:§ Xž X SÌ pË ž Ê *ž >ž Qœ k› k X V¥ 1› k¨ X Zž YÌ Až ^› ^ž  *ž > cœ Z¤ Ì ¤ › ¥ ›Qž Z kœ cœ €› 5œ q¨ V+Ì *ž QÍ œ >ž €¨  ž cœ > w  > s¥O¤ <œ Zž Z¤ k¨ >¨ Zž cœI¨ >¥ |œ gœ k Z ^› X ž A ž<§  MŸ : >¨ ž kœ V¥ :ž X *ž Z Ô Ö(Ø*§ m. gbefU bdfp.  sc bm€VV. `][. VU s\befp^\bUpm1D[ r [ Vdk[. f~. cbU. cbm ZUWXoU V bciU. gbVm j[ bdfefd psd. cbU. W[ U. m. gbpm€pd W[ ehe. ciU. gj[]g6UWV>[ e m. ciU ^. m. Vsd jU. ^b[ p [. sm. UU sp [ iehd sc. pscbU. m€efehm d brVsU \befp. []d. Uu[ \bVsU jV pm. pscbd Mgj[ gjUWV ` ZU. U VXoU ^. m pse. r€U bUWV []efd WU. 6UWcj[ Xdfmo\bVZm 9pcbUM[]efr€moVdfpsc T[ VUrodfXoU pcbU. efd. dfp. Uu[ \bVsUM[]VU. pc6[]proU bUWV [ efd UpscbU>aUWVsVm \bVM[ j[ e psd. pd \bUu^. V [. m ip []d bd br. gbVU. d U1U spd. 6UU bgbVU. s\ sc. Uu^. dfpc. m. pcbU. U bU. \. jU. ƒ. []gbgbVsU. m j^dfpdfm 6[]e. d m. c6[]p. d WU. [ j^. [ d. dk[ ie ^d. gbe 1d ek[. pUWV. [. dk^UMpscbU. efd. dfp. V [. _U. UWVU p. sUu^[ jU. [. ^m. \bdfp [ befU. 1\befpdfgbefUd. bdfpU. sehm e U. 6UWVZm 9VU. []V o[ befU. €\j[. []d. b bU. [. 6UWrod. psUWV. Uu[ \bVsU_pscj[]p. m. dfpc. dfpUWV []pdfm. [. m _pcbU. psdhps\bpU pcbU[ j[]efm€ro\bU. sp [ 6^b[]V ^. XoUWV dfm m pcbU. 6a9VU nd sU. c6[]V [. dfpcL9\ \. efd ^. d Xom€ehXd br U. psdfpdfU Zehd €U. dk[. m pcbU. ^ d spVsd i\bpdfm. m. L[ €UWVmog6UWV []pm€V. pcbU. m. m. psd. \6[ p m. m. []pspU pdfm Gd >[]e smLgj[]dk^psm. UWefUWV []pdfm pU sc bd €\bU. gbpsmopsd "pmpscbU. []\. []efr€moVdfpsc. m X€UWVr€U pu` m. [. ‚. pU Vd u[]psdfm. pV []egiVmog6UWVspdfU m _\iUWefehU. dk[]psUu^. nm XoUWVsroU. Uu^. UWpsVd ek[. UWpsVd V []pUm "^U nVUu[ UMm |pciU. g6U. m. V [ pcbU V. roUWm. gjUWV moV. pm€V. psdhm. W[ ehe9pscbU. m. d W[]efe. 6UWV m bdfpU V []psdfm. m |pscbUMd bgb\ip_X€U. \bpsdfm m ZpcbU1[]efrom€Vdfpc. gbefU bdfp m jpciU[]efrom€Vdfpc Nd |[. [. 1t_[ ehe UWY U. >m€\bpMpm. []psUu^. sdfp Ld. m€V nm pd \bUu^. MpU 6^pm. U [. m. []gbgbVsm bd. gj[]Vspd \bek[ V_pscbUroUWm. sd. U bgbVsU. \. ps\bV. p [ j^b[ V ^9\ nehdk^U [ G[]efr€moVdfpsc. cbUWVsU b. U bgbVU. [ pU. U ^. M[. [ j[]e. pcbU. j[]ps\bV [ ehe. D

(18). p [ befd cMpscj[]p9pciU [ X€UWV [ roU W[ sU pc6[]p W[. ^ \bVd br. iVm jU idh\ mog6UWV []pm€V. VU s\befp >[ VU. pdfm pcbUWm€V. nehm UWe. ‚M[ \. m n\ m pcbU. ` cbd sc. jU d ir>gbVsm]Xd ^ Uu^. U [ \iVUu^d pciU \. #cj[ pd pcbU1^U. d m jpscbU [ efromoVsdfpc Qd Dr€m]XoUWV bUu^. dhp. psdhm +[ ehr€moVsdhpsc. m p M[ j^. d. pciU>UWX€moef\bpsdhm Lm ^b[]p [. dk^U. j[. 6mo\ 6^. [ ehr€moVsdhpsc. []efrom€Vdfpc. 6UWVZm 9dhpsUWV [ pdfm. U>^m. sd iehU. dk[. U psd [ efe 1d j^ UWgjU j^U pm 9pcbU. d. m |pscbUehd. VU ^\. \. ‚M[]\. dk[. p [ pu`j[ j^1psc\ U. m pciU. ^ U. sdfp. []efr€moVdfpsc. jU spgjm m€efehm. gbefU bdfp m bpcbUZ‚M[]\. m. ^ d spVsd i\bpdfm. d bdfpdk[]e9^U. ` dfpc. []d 1VU \befp m 9pcbUMg6[]g6UWV[]VsU>[. ciU_[ XoUWV []r€U d [. f~. 6UWcj[ Xdfmo\bVMm pcbU. sp [. |imoVd. p. p [. F~. U€` ZU>U. i~o~ ~. [ j^1pscbUpUWpsV []efm€r []Vsdfpc. m "[ Vro\. U p. ~ €ƒ. . [ X€UWV [ roUo`6pciU. ZmoV sp W[ sU cbU dfp Zmo\bek^. 6U. D[]efVU [o^. [ XoU V []r€U. gbVsU U p c. ZmoV. d UWe. d bUMpsm. nm. gbefU bdfp. ` cid scd m _[ LmoV ^UWV>^d. W[ pse. Vm -dfp ~ b^d. \ sc[1gbciU bm ^ d. U. Vsm. [ 6m]XoU. [. d m. m. moVsUr€efm j[ ejU psUWVgbVsd U. psd U. 1\ c. 6UWppsUWVpcj[. jUWc6[ X dfm€\bVm 9e [ ppsd nUVsUu^\ npdfm Ld. U. sp [. [o^Xo[. [ gbgbefdfUu^. b^d. pm. ZmoV sp. U. pcbU. U. dfm. dfm j[ ee [ ppsd nU u`. €` cbUWVU. W[ sU. U. Vsm. Uu^ ` b\bp>[]\6^_U Y efm€r. cbm U>[ d Cd psm1\ j^U V p [ j^. cbdfrocbUWV^ d. p. cidhr€cbUWVM^d. nmo\bV U1efU. p. UWVU. sdfm j[ e [ 6[]efmor€\bUo`o[ j^. U bm LgbVm€gj[]r[]psU pm. sdhm. pcj[ p_pscbUD[]efrom€Vdfpc ` cbU. jm€\ j^U ^. d LgbV [. ~. dfr bd. d cbdfrocbU V. g6m iU p_m [. []efrom€Vdfpc CgjUWV moV spV [. m. cbd scU bpU p. D[]efrom€Vdfpc. gbefU bdfp Mpcj[ p_d. jp [ [. U bpU j^Uu^[. d psc\ m. #ƒpciUWVU moVUM^U gj[]Vsp. UWUu^U ^Ld 1gbVsm]X d br. m. pciUgiVm 6[ bdfefd pd.

(19). sdhm. ^ UWpUWV. \. [ U. pc\. pcbU>D. gbVsU. U. bm efUu^r€U1m _pscbU. [ 6^1t_[ ehe UWY U [. sdk[ L[]efrom€Vdfpc. m _d pUWVsU ppsm. \bV>[ j[]e pd. cj[. ‚M[ \. W[ sUm |^ d. 6mo\ 6^ gbVsUu^d p `D[ j^. cbU. pciUWmoVsUWpd W[ ehe psm. €\j[ psd. sdhm. pm "pscbUgbVU U pgj[]g6UWV[ gbgjU []V d. 0€ E"" * E4)%5"G‘*‘4*.Š   "!#!%$#&(')*"+ ,.-

(20) ")')0/ Zž Xž*ž Xžž <œ _Êœ Z¤ gœ A >¥ œÍ Z› X ž A cœ Xž_§ uRZJ_YOYyNa`MF >¥ VJË Z xœ A› MŸ V 1 Zž xž 32 V¥ X› X *ž >¥ 1ºß

(21) <œ *ž%Aá 4Êg ¨¤ 25 Ò 4763894:¼Ò<;>="6 ?9:A@@ =CB#EDF4HG0B Ì ¿Iß 6CBJ:á œ }MJL/N|L Zž >3¥ KÍ s Z¤ Z X X X› X *ž >¥L1‚§ cœ Zž X ¨¤ ZžÊg Z¤#› >¤1¨ >ž Xž kœ j¨¤ ^ j› cœ Xž V¥ *› Z > 3M A§ › k Až ‚¨ >ž Xž >¥ cœ N2 <ž k› œ gœ X >¤ -¤ >¥¨ Z %¥ *› ¾Ì *ž # <œ ž<§ - Z› X ž A ¨ Xž gœ ¨ Vž Xž %› Z Z› A¨ >ž Xž ‚ž Zž-¥O¤ Z› -¤ Xž

(22)  4Ê5 6 €¨ ¾Ê ž j› Z Z› › >¥ cœ 2 i¥ Zž x kJÏ <œ VO¥ 2 >ž‚ž*› :ž 5œ >  › Ù 1ž _œ k › Z Z› P › : Zž V¤ <œ V› A kž ež :ž <œ ž V¥ cœ Z Z¤ ^ X X y. y. Ccbd _g6[]g6UWV [€^b^VsU. V [. ƒ. d. pcbU. m. gbefU. cbUWVsU. W` W[ ehefUu^. d. [. bdfpsUWe

(23). [. bU. U. [. d pcbU. o`d. [. gj[ dhV. j[ sU pscj[]p[ VUVU e [ pUu^. XoU npmoV psm. m j^. . ^d. 6UM[ jV p. d bd >\. U. d bd. 1d [. dfm. sU. sgjU nd. W[]efe 1pcbUVUu^ \. sUWp #m |UWefU. U p m. m. efd bU []Ve. pm. Uu[ scLm€pcbUWV. m br p|[ efe pscbU j[ sU m D[ek[ ppd U ` sm. scbmoVsp. ^U. gbek[ bU. Uu^. psmoV[. d psUWroUWV. m br sp_pscbU. pdfm. m |ƒ. ^d. pm€V. ^ U. bUu^. UWefU. U p. im. WU Vm. U. m. []psVd U m "^UWpsUWV. []efefUu^MVsUu^\ nUu^. j[ U [ VU. \ Qm [ek[]pspd U d Ddfp_d [. 1X€U. d j^UWg6U j^ U p. Upcj[ p[]VU. ƒi`opscbU 6U pZVU ^\. X€U. d bd XoU. U ul m. 

(24). ek[]pspd U. Gpscj[]pc6[. m. d 1r€U bUWV []pU ^. [ pd. m. >m€gbpd. jUWd br. m€V. Uu^ dhpsc. [ efdhp gbVm€gjU VpdfU. [ efehU p_9\. cbm€VpU pXoU npmoV m "pscbUMek[]pspd Upc6[]p[]VsUehd bU []Ve. ƒ. 

(25). d j[ p >~. pcbUZgbVm€gjU Vp. []e j[ sU _pscj[]p. psmoVm. dfm j[]eek[]pspd U. efd ^ Uu[. bmoV. d 6^UWg6U j^U p.

(26) 9 l¸N6PQP]\_fULSNZTVÇP À eSeZ©?\_PQaÃAN6aQL4a§OQL4MOQLUaQL4T(PQL4VYÃ(•PQ[L¼MAN6OpN4lml_Ll_eŽGOpN6R PQ[WL4•ÇaQMžNZT:j ; [WLAOQaQPÞNZa]\_a£\_a§aQÅL À¼> PQ[L¼aQLUf4eTWV eTWL&\_a&R/\_TH\_RN4l t OQL4VW`f4LUVžuj ?·ž·. >¥ 6E§ X 1¨ >ž Zž ^žx[1NcP Nv[~JVR i¥ œ A› Zž Xž ¹Ê *ž > 1ž <œ A q› Z› ^ ›©§(Ý Až*ž >¥ X -¤ A œ V ÐÌ _¤ž >ž*ž › 1› Z Z› ¨ Vž Zž #¨ Aœ ž Zgœ k V¥§ßI6CB :Wá > +ß6B :Wá Zžœ ^ ^¤ Aœ k§ ‰ž Z¤ÇÌ HË j kYÌ _¤ V Z› > ¡ Z Zž <§ 3¨ >ž ^ž Zžž €¨

(27) :K J_LXN A[€NcP Nc[~JVR i¥ V 4Êg :ž

(28)  6B : B 6 :œ A Z ž QÌ #› Z› Z› >¥ |œ k§ X Zž A >› k Až ž iŸ ¥ (Ì Z *ž ßI6CBJ:á B6ßI: B 6?á B6ßI6CBJ6 :á B6ßI: BJ: 6?á B6ßI6 : B 6âá BZß: 6CB :Wá ß á 4Êg :ž x› ^ ^› k¨ Vž Zž >¥ cœ A§ Z HÌ %› _¤ Xž cœ X k ~  Vž ÎÍ› ^ ^› k¨ Vž Xž kœ k§ e¥ (Ì Z Xž Xžjœ kœ ÐÏ k ž >¥ kœ x› ^ ^› ¨ >ž Xž V kœ €  >ž y› ^ ^› ¨ >ž Xž<§ ")($!#$ +

(29)  / !&ßI6CBJ:á"#

(30) $&%'$(&)*!+,"$&-/.0-&132456%7!4598;:=<><:?.0%@A!B?:C(D:%3E.F!G.:%*-¾ßFHžá$%3E#ßBIZá9$&J6K*).BL$&<6%3!M Fß Hžá¾Iß 6CB :WN á .0-POA.0%*.0OQ$&<+R Fß IZá¾ß 6B :WN á - $#!G.>-/S56-!45,!B?:T-.0O')<B!B$%5U:*)=-V.0%5K*)$&<0.B!.6-M Fß W 2 N á YX 6: XZ $%3E Bß W 3 3 á  × Z\[¾ß 6: á Z  =!&Iß 6CBJ: á "#$%'$(&)*!;]"$&-/.>-1245^%_!G45,!G4*JDU8;:<0<:?.0%@,(D:%3E.F!G.:%*-SBß `Zá B6ߓўá B6Fß abá $&JDK*).BL$<c^%d!/M Fß `Zá¾ß 6B :WN á .0-K*)$-.0e;OC.0%*.0OQ$&<R ߓўá !4fg!GJ.+$&%h@#<!43$!&Iß 6CBJ:9á E#6S*%5^-i.0-$j(&)k!;l.B!43$-!4*J6U$j()*!;$%@#<6-nm&R Fß aáSß 6B :WN á - $#!.0-/S56-g!G45!B?o:T-.0O')<B!n$&%5U:k)-N.>%fK*)$&<0.B!.6-M Bß p 2 3 á ÛT× Zq[¾ß 6: á Z $%3E Bß p 3 3 á  × Z\[¾ß 6: Ná Z  rWMU<U\XmSFß HžP á s Bß IZáX§ Zžeœ › Z Z› ¨ >ž ^žež Zž Ê Xž¾Fß W 2 á > s¥ Aœ Zž YFß W 3 ájž ^5œ pÌ Zž _œ 7:9 .6ÁÌ #¨ ež >F: § Fß IZ á s Bß HAá:§ ut‹¨ > ¨ *¤  kJÏ <œ >¥ 2 *t Ò ="6 ? : § €œ Vž Xž #¨ Zž ^ Zž X ^ A Ò × X vX(Ò > _X vXÚ § w $&-6 Ò × § % >g ž X tgXx Ò X =oXX 6oXHÌ =zÒ y × ž gX tgXH{ Ú X 6oXi§ w $&-6|X vXÒ  Zgœ sFß W 2 á ž #  > -}¤ X [¾Iß :6âá X Zž› Z Z› >› A kž |X [¾Fß t6âá XžÌ :_  t Xž A QÌ ©ž Z Xž#œ :ž k Z  Ò M > 'ž X :5X *ž i¥ Zžx› Z Z› V› A kž ~X tX?Ì X tÒ ="6 ?9: Xž k QÌ #ž Z Xžœ Xž k ^ X vXÒ k§ w $&-6|X vX Ú § k›0Fß W 2 á >

(31) Fß W 3 á > e¥ › ¨¤¿ß 6B :Wá Zž ^ >¨ ž ¦¨ QÌ X  € WÕ > ‚€  § ž A _œ k, ƒ»Iß :Wá >¥ : kF 6qž ZžQÊ X

(32) ž X ƒƒß :Wá Xq Ú „ Õ  5X :5Xi§ M¥ G¥ gX vXÚ A >ž X tXGx Ò X = 6 ?:5X¥Ú 5X ƒƒß :W&á XAÚ „ 5Õ X :5X# †X :5X Õ m. cbU. W[. [ e.

(33). [. [. 6[ d d. [. s\. sefdhr€cpe. Dd |dfp. U[. d bd. ZUu[ oUWV bm€pdfm. pciUMpVsd [ broefUMpscj[]pdfp^U d. m. gbVsd U [. []e j[ d pm. 6U>[. dfefe6gbek[. [. d. bU. jV sp[ 6^. \bpU€` d. [. sU. m j^. nUMm bUm. d. d €\. Zd. g6moVsp [ p9V m€efUd 1pcbd gj[ gjU V 

(34). m p []d. p _m. d. #dfpscbmo\bpefm. [ 6^. d. [. m pcbU. j[ sd Zd. m r€U bUWV []efdfp. UWVsp [ d ie. []dk^1psm. e [ ppsd nU 6cbU LpscbUWVU. [. `m bU. \bpsU. 6U. Dd. d m bU>[. m br pZpcbU. moefefm d brgj[]dfV. ~. pc6[]p^U. bU [. d id. [ e j[ d Zm DpciUek[ ppd U o

(35) r []d D` _U. [ MVsU psVd p[ ppsU pdfm 1psm. €\j[ d. d id. [ e j[ U pscj[]p[]VsU. [ n\bpU. cbU. m€efehm d brVsU \befprodfXoU. scj[]V [. psUWVd u[ pdfm. m [. \ipU. d id. [ e j[ sU [ j^. [. 6pd. Zmo\bek^ j UWp. ^UWg6U j^ d ir1\bgjm. pciU. p Zm. b bU. cj[. ~ jd. U. spV [ dfrocp>efd bU efdfU m. ƒ. bVsm. efUu[]Vpc6[]p[. 6U. d bd. d id. [ e j[ sU. ƒ. Q~. pm€V. €\j[ sd. ~. N~. XoU. \bpsU. ~. []e j[ sd. []pd jU. W` [ j^. d _[. \bpU1[]e sm. sd. U>m€pcbU V d U. pcbU. cbm€VpsUWVpscj[. jU. [ L[]V bdfpV [ V. b`. ~o`b[ 6^. bm. UWVm. dfpc. cimoek^ u`ipcbU. XoU. €\j[ psdhp. pdfm. 6cbVsUWU. d. ~o`9[ j^. psV [ dhr€cp_efd bU. [ j^. c\ u`ipcbUm€Vpcimorom j[]e giVmul U. `. W[ U M[]VsUpm. 6U>^d psd iro\bd ciUu^. i` m1pscj[]p. m€VVU g6m j^d brpsm. pciUp Zm. psmoVm. #ƒ. W`6pscbU. m. d bd. pc\. m€VVsU g6m j^ d ir. [ br€efU m. moV. Uu^. [ pd 6U #ƒ. []e [. m br sp [ efeDpciU. dfp sUWe d. pm. d bd. [ e"[. cbU. m br sp. NefdfU m. [ efe_pscbU. cbU. F~. d d [ €ƒ. smoef\bpU. Xo[]ef\bU. cbU VU m€VUo`. jUWp ZUWU moV. [ j^. ƒb`bm bUcj[. oƒ.

(36) Z Z¤ ¥ßI6CBJ:á ^ž 1› Z Z› ¨ >ž Zž >¥ Zž Zž ©œ sߓўá >

(37) ßFaá > I¥ › 1› Z Z› ¨ >ž Zž > Qž ߓўá s)Bß `Zá  QÌ _œ *ž 6 V X ž Zgœ YFß IZá Z› :ž§ßBHžá X¤ ¥ ›. cœ V Zžœ A› Xž >¥ >¥¼ßFIZás ßBHžáX§ <  X <§ 'ßF`Zá Z› :žSߓўá  QÌ qž*› ž Xž V¥ ^ž¥a¤ÁßFI6á V žßBaGá > Êg ^¤ÁßQўáX§ :w¥ › ,Ì QÌ qž*› jž Xž >¥ > kœ V xž ^ž¥a¤ßBIZáX§ ¦› Z Z› ¨ >ž ^ž_§ ')()($#"+\('(,O&!#$"+5)&' ' / - X cœ gœ k › HË Xž Vž ^ > ¨ *¤ ¨ Vž Zž V gœ Xž Vž e¨ Vž Zž ^ž 5œ § - Z› : ž k %ž k j k ž >¥ › Z Z› -¤ V   >ž y› ^ ^› -¤ ^ž QÌ ~œ Až Z¤ ›Qž

(38)  Í ež > ž*ž V. ›

(39)  gœ Xž V kœ €  Vž ÎÍ› Z Z› ¨ >ž ZžGÙ Í xœ X ž*ž V  ›   gœ Xž > kœ x› ^ ^› ¨ >ž ^ž_§ Ý Zžxœ k› › k :ž QÌ ›Qž Zž > #ž gœ Z› ež Zž-¥a¤ Z qž Z› V ž Z¤ œ A k ž >¥ kž k k§ jœ k k ž£Fß W 2 á > sßFp 2 á jž ^› Z¤jž ZžQÊ 1¨¤ MŸgœ V Xž,¨ QÌ X <œ *ž_§ xœ A k žSßFW 3 á > Fß p 3 á z› j¨¤ Z V ž k ž V¥ A >¥ %¥ (Ì Z -¤ Xž Í¥    :  Ò :9 *6ÁÌ . Ò [¾Iß :6?á A٠ͥ   >:   Ò Wß :  6âá'Ì   Ò [¾ß :6âá  > SÒž k»Fß [¾Iß :6?á ,áX§?ß "!# Xž X *ž Z  Xž

(40) ! §má ' &Q$ '%&>''f)( / V¤xž gœ œ kœ Zž cœMž >¥ cœ Xž V 1¨ >ž Xž Z >  Z > ž¥ › k ž *ž ^› -¤ V ž-¥ *› A ž Z k› cœ *› +ž * >¥ ‚¥ , › .- 0/12 =3/ Ì = D 14";(×G§  Z ž >5œ ^ž œ Aœ ÐÏ A >¥z› Z Z› >   >ž ^› Z Z› ¨ >ž Xž X Z kž k A Z¤ X Gž k 5/Ò :6 § ^ž ž‚ #œ k ž |œ Xž V #¨ >ž :ž (Ë : <  :gœ  ž Z› -¤§ ž gœ £ž Z› -¤ Z > Xž Zžž 76wœ X Xž |œ X A cœ Xž : ¨¤ ¦¨ >ž Zž >¥ e¥ *› ß B8/Wá:§ - œ >ž -¤ ¥ 1¨ >ž ^ž #¨ e› ^ ^› > Aœ tœ Xž k ž e¥ kœ 9/1¨ A kž zž (Í œ 1\XKPgbkJV[~F:PY*J>RbkUV[~JVNcP : < Ò ;/ @@ X /5XHÚ > T× Zq[¾+ß /WNá Z =  ß á gœ k› Z Zž ¥ >› x¥ k› *¤ >¥€› 1¥ *›Qž¼Ô WÕ6Ø gœ A *¤ >¥~  cœ ¥ *›Qž¼Ô 6Ø*§ Z› Z¤ 1  >ž -› Z Z› V kœ x¨ Vž Zž Zž › Z ¨¤ %¥ kœ 9/1¨ A kž ež > < Ò ;/AXT× Zq[¾+ß /WNá Z G0B ߓÕá Ì j¨ Z Z ^ž@Ë ? >¥ >› SÔm× B 4Ø ? Ò ;

(41) /AXj[¾ß / á&Ú (G €ž Zž ©¨ A¨ ž /Ÿ œ V k ž > ž k ž Z gœ V¨ k Z¤ X A œ A› MŸ A/ Ò :6 § ž MŸ <œ k kœ Xž >¥ ž*ž V ›Qž Z V  ž Z› -¤§ Zžj› (Ë Xž Až*ž ^¨ ¦¥ *› k >¥ ž*ž V › Bž C  V D

(42)  X Z¤ Z *› ž >¥xœ k› MŸ  ›#¨ ž<§ Áß 63E(B :FEZá B

(43)  B6Iß 6GBJ:FG(ᦨ «ž _  Xgœ V¥¨ >ž XžQœ A ž gœ ‹¨¤ A V¥ ž*ž V › ž<§?Ý Vž*ž Gœ #ž <  :gœ ¿ß BH/IEGá B

(44) 

(45) JB6ß BH/IGáSÌ J/LK+Ò :8K6)K§ k› cœ > ž¥ › k  _œ ]¨¤ Aœ ]ž >¥ › œ A ž Zž ž >¥ V MŸgœ > #ß 6B :Wá 12 Iß : BJ6?á V ž k :12 : @ 6 > kžž Z¨ jž A€œ > :21 : § - œ k› MŸe¥ V› ZÌ Ë ^žœ Xž k Gž V Z *ž A  ž*¤› › *D¤ /D12 )/ 5¥ (Ì q¨¤ > ž kM /N12POQ3R/ÁÌ SOS+ß /WáT Ò / ? > ]¨¤ Až*ž Z¨ #ž A œ > /2V 1 UW/ Ì @UCß /áÒ 9/ § Ö d j[]efe. `. Zd [. pMd M[]e m. d bd. []e j[ sd m |pscbUMek[]pspd Uo`b[ j^. efUu[ Vpscj[]p. [ j^. d bd. [ e 6[ d `j[ 6^. pVsdk[ br€ehU. moV. [. cbU ` d. nU. j[ d. gbVsm ^ \. ciU1p _m. Zd. XoU. M[]VsU1U €\bdfXo[]efU p []psd. pm€V. [ j^. W`bpscbU. moV. gbefdhU. pcbd . €\j[ sd. d id. pscbU. moV. [. Uu^. d bd. ‚M[ \. U pU VUu^‚M[]\. #cj[ pMd. m. m j^dfpdfm. m. moV. ^d. QgbVsmb^\. U M[. U [ L[. p _mL[ ehr€moVsdhpsc cbU. >`. m [ [. U. []efefUWV sdk^U Mm _pcbU. \bpsU1pVsd [ broefU. psdfm. []psd. [ ehr€moVsdhpsc (p [ oU [ d igb\bp[. dfm 1ƒb` pcbU pVsm br€UWV bm€pdfm. UWp. [ n\bpU. €\j[ d. d bd. d id. [ e j[ sd. \ipU. m. []V bdfpV [ V. d bd. [ e dfp [ j^. []e j[ sd. d >[ dfpUWV []pdfX€U. pVs\. ps\bVUL[]d. Uu^. 9[ j^. |[ VU sd. gbe. [ pd jU ^. m 6^dfpdfm. []VsU. []efefUWV dk^U. ek[]ppsd UVsUu^\. Uu^ i. NgbVsm ^ \. ~. ciU1p _m. VsUWek[]psUu^L[]efr€moVdfpsc. []efr€moVdfpsc. psmLpcbU U. gbefdhU. j[ efe. dfpcpcbU1p Zm. sd [ L[]efrom€Vdfpc. [ j^. moV. efm UWe. d. `j[ 6^. dk[. Dm |a"Vmog6m sdfpdfm. m j^dfpdfm. m€VUWm]X€UWVu`. []e j[ sd. j[ d _pscj[]p d VUu^\. [ e dfp rodfXoUVsd sUpm1p Zm. p [ j^b[ V ^. pscbU. cbU. U [ mo\bpsgb\bp[. gbefUWpsU ZpcbUMgiVmm 9m. W`j[ j^1psc\. r€U bUWV []e`b[. [ j^. m. 1d. psUWroU VpV [. ek[ pdfm. [ p. m |m bUm pcbU. []psd. d br. U. scj[ broU. d 1\befp [ bUWm€\ e jUWp ZUWU 1X€U. pcbU. psmoV. m€efehm d brp g6U. dfpsc. `. dhpsc. [ 6^. dfr.  UWVU€`. VU gbVU sU p pscbUd. psUWroU V. iUu[]VsU ppm1pciUVsUu[]e. L[. pV [. moV. [ pdfm.

(46) d. sp [. U. ^UWg6U j^ m. d. dhek[ Vdfp. [. sd. d. pciU. scj[ V [. imoV s\ sc. sd. dfek[]Vdfp. m€V. sm. ps\bV [ e scj[]V [. []psdhm. d. psUWVd psd m. d MroU m. d bd. p d Zpc\. ek[]ppsd U _[ j^. U pVd 9psUWV. []e[ j^. j[ p\bV []e6pm. Em bpscbU. €\j[ sd. m. d bd. s\. dhpsc. []e j[ sU 1rodfX€U Gd +a"Vmog6m sdfpdfm N~. sdk^UWVZe [ ppsd nU. Xo[ Vdk[ pgbVsmog6UWVpsdfU u`dfpd. j[ sU _[ VUd Xo[]Vsdk[ pD\ 6^UWVefd bUu[ V. moV. [ j^. dfU ppm. 6[ U _p [ oU. \bg. pscj[]p1m be. pmMU €\bdfXo[ ehU. VU spVsd np>[]pspU pdfm Lpm. U\ j^UWV. ek[]pspd U roU bUWV [ pUu^. ~. pcj[ p W[ sUo`6pcbUgbVsmog6UWVp. pciU. moV. pUWVsd u[]psdhm m. pscbUV []psdhm. j[ sd m |pscbU. psV\. dfe [ Vdfp ZpV [. m€V[. j[ sd psm. jU. d id. [ ej[ 6^. [. \bpsU. nmoVVsU g6m 6^ pm1pciU. [ nppcj[ p. jUWefm br psm. W[]efefUu^. ~. Q~ [ 6^. \ scQ[^m m€V. ƒoƒ. []d Gd. bd. [. dfehdk[ V. dhek[ Ve o`o[. Vsm 3pscbU. pscbUWm€V Nm. d bd. [. €\j[ sd. [ e [ j^. m ^ \bek[]V. \ipU. ƒ. ƒ. j[ d d. m€V. ƒ. ^ UWpUWV. Mm€V. d bUu^. pscbUVU ^\. pscbU. psdhm pscbUWm€V Nm. [ nppcj[ p. €\j[€^V [ pd. jUWefm br psm1pcbU. psVdfg. Q~. dfpcbm€\bp 6UWd br>d. pciU. ^ d. m ^dk[. UWpUWV. ~ `. ~. p. pciU d. scbmo\ie ^[ e m. m. dhek[ Vdfp. d GpsUWV ‚M[ \. 6U. m. UWVsXoUu^. gbefU V [ pdfm cbd. Mm. sd [. pV [. moV. m. [ €U Zdhpgjm. gbefU. \. [ efromoVsdfpc. [ pdfm. `o[ j^. U. U. pUu^. [g6m. UWpsV. scj[ iroU. sd iehUpsm. rodfX€U. Uu[ c. i`. [. mog6UWV [ pdfm. MmoV. moV 1\ie [ pdfm U €\bU. U. psUWgm pcbU1[]efr€moVdfpsc. scj[ br€U. m€ehefm ZUu^. [. >pscbU. pV [. se [ pdfm. se [ pdfm. pcbU‚M[]\. m pscbU>‚M[ \ 6U. pmLdfpMpscbU. pV [. \ipdfm QpsV [ nU Lm. 9 UWp. sm nd [ pU. d befU dfr. ~. cbUWVsU. [. scj[ broU. pcbUU bU. 6UWV. U. pcj[ p>U. Zc\. Q~. [. m. m. ULm. ~. d p m gbefU. psVmb^\ nUu^G[ jm]X€U1m be ^UWg6U j^m 1[]VUd Xo[]Vdk[. sd [ L[]efrom€Vdfpc. U o\iU. ~. Md. dk[ []efrom€Vdfpc. V [. m. psV\. psUu^. m bU. ciU. scj[ br€U. U ZmoV. `Wpcid. W` [. m€VVsU g6m j^ _psm. Q~€`D[ j^. p1\ j^UWV. FU pdfVUWe. cbUWVsU. [ LU. dfpsc. j[ sU. [ j^. [. m pcbU. roU m. pV [. U pVd. ek[ pdfm. [ >d XoU V dfm. gjm. d befU. sdhr.

(47) °ž´UŸ³9  

(48) ƒ³· fUeRSM(l_L4r¾PQ[AN6PÞLl_eGTŽGa¼PQeSV(\_aQÅ eZ©ƒV(\¸N6RSLUPQL4O v ª o Œ 3 t ¾u   !#"%$ t (u & '(ƒ³ ƒ³· 9 f4eRMHl_L4) r ¾PQ[AN6P&ÃALl_eTWŽa§PQeSVeGRN‰\_T+*,- À [WL4OQL.*/"10 ª243&t (u 2 o65j Gâ8· 7:· ; [WL.9HPpNZTVAN6OQV ¡ N6`WaQa]\¸N6T 9 l_ŽGeO]\_PQ[WR v 

(49) Œ j. - Zžœ A MŸ. ›¨ Z AžB/ Z ¤ 4Êg qž > Ò<;/AX×TZq[¾ß+/WáNZ G0B Ì €œ A› ž*ž V ›¨ Z kž9/ Z > : Ò<;/AXT × Zq[¾+ß /WNá Z G0B MŸ : ž >¥ Až*ž Z¨ ež A œ V A§ '5)(! "+ , f>, .$#;5f$! ../ Q MŸ #ž <œ k ž V Z¤ž Zž V¥ qž > ž*ž V  ›

(50)   #Ì ©ž <œ i¥a¤ (Ì Z¥ -§ ›

(51)  gœ Xž   >ž -› Z Z› ‚¨ >ž ^žYÌ kž > ž¥ › k Z ]œ A› Z¤’› Z Z› ¨ Vž Zž Zž /ß >ž Ì ÁÌ ž Uá ž *ž > ^¤ž ^ž Xž › zœ >¥ gœ A œ Xžž<§ zž >› Z› V €ž k *œ > Zž ^ e¥ Xž › gœ jž gœ ›  ZQ› >¤ÇÌ _¤ž 7

(52)  Zž @  Ì ‚ž > qœ A Z ¥ Aœ k ž Qœ X «œ k Z ¥ kœ k ž > tœ Až xœ A  <œ k+Ì ž > qœ A Z ¥ Aœ k ž ž ÎÊ Xž *› Z k¤§ ›   ^ž <œ (Ì ž¨ Z Z / Z ž %ž > 4Êg ZÁߓÕá > Ò ;(×TZq[¾ß+/WáNZ (G§ - ©ž xž 76wœ Xž £œ k ž > ž¥ › k < ¥ *› Ì > Z ž kyž¤› › *¤D > > ž A@ OQ3R Z› ‚¨ Z ^ / Z > § Zž ^¤ ÐÏ Zž ^ž kœ #¨¤ V ž-¥ *› A <ß /áÒ / G[¾ß / á 0B Ì M 6# Z V¥ 6E§ Zž > ž¥ › k < Zž > MŸ : ž k eœ k› MŸ k› Z >¥ A 4Ê5 Z #ž > qœ A Z ¥ Aœ k MŸ V ž A ž A¥ ¼Ì cœ =<ß !?á¯Ò > 2  >2 § - Xž >¥ ?Ì Vž*ž › žž > › Zž qœ k› MŸQ ›#¨ *ž /#ž 5œ @?¾ß /Wá Ò y × žÌ cœ qœ Xž A ž 1 k X cœ Xž_§ % Zž Xž¼Ì Q¨ Vž Xž Aœ ž / ¨ A kž i¥  V u[¾+ß /Wá¾Úº× § >ž k ž ¤ MŸ ^ 5œ k › HË Xž Vž Z xœ A› MŸ© ›#¨ *ž%¥ k› ZžpNË ? >¥ >› ÇÔm× B 4Ø*§ > ž-¥ *› kA < Zž X MŸ ¥ k› ZžËª§ €œ Xž A Z #ž <œ _Êœ A Zž : Z 5§ § Zž › A MŸ ‚¥ k› e› Z k Zžj A e¨ Vž ZžSß BH/á Zž#› Z Z› -§ Zž k Z¤  >ž ÎÍ› Z Z› > ]› Z Z› ¨ >ž Zž :ž *ž ¥ A› Z¤ Z k V› A kž kžž Z¨ *› A ž A %ž Xž >¥ > X ¨¤#ß B8/Wá HÌ cœ > ž¥ › ¨ >ž Zž¼ß B8/Wá Z e› Z Z› ¨ Vž ZžSß BH/B¸á :Ì 0/CB¨ k Až ež eœ Xž A Z Áß á pcbd. m. xž V. psU bpu`ipcbU. žž >. sp [ j^b[]V ^. ‚M[]\. dk[. []efrom€Vdfpc. bVd br. d pm1pscbUM[]efVU [o^. ^U. bU ^. psVdfg. Q~. cbdfefUpscbU. m. gbefUWpsU‚M[ \. sd [. [ ehr€moVsdhpsc. bVsd br. d pm. ~. ƒ. []ppscbUU bgjU. U. m [. gjm. rom€Vdfpc. >`Zpcj[ p. d befU. dfr. scj[ broU. FcbU. pV [. `. moV. [ pdfm d pm. mb^U ejpscbU. []VsUpm. [. g6U. m. U psUWVUu^. d. iU bp. bm. pdfm. U. d. gbefUWpsUWe. m€VUm DpscbUVUu^ \. 1\ sc1VU ro\bek[]V spVs\ pU V. ZU. d bd. giVm. U. V [. psdfm. 1[]VsU. ^UWX€mopsUu^. pmLpscbU. b

(53) pZpciU. `b[ j^. [ j[]e. [ efromoVsdfpc. [. Upd. d. [. [. pciU. nehm U. m. d Mm pcbU. gbVsmb^\. []e j[ d >d 1psVdfXd [ e [. p\iVUMpsm1pcbUM[]efr€moVdfpsc. m pd \bUu^. psdfm. \befe 9cbU. _U. Uo` bm. u`. U L[. dfefe sUWULek[]psUWV. sdfr. psdfm. dfpc. ‚M[]\. d bd. [ e j[ sd. ` mpscj[]p. scj[ br€Ud Zd X€moefXoUu^ `o[. -d Zpm. bU. p [ j^i[]V ^. o\6[ d. m. psd. bUu^. d. sd 1^mU. m. \iUu^. V [. psd. pdfm. \iUu^. V [. pdfm. Dl \ psd jU mo\iV. d bm€efmor. cbU[ efromoVsdfpc. moV ^UWV. pV [. pm. ^ m. sek[]pdfm. Qd Z^dfVU. m6`Ddfp. Q[]d. s\. Uu^. psUu^. U 1psm. pm []V ^. m. iVd brod br. dk^UWV1[. []p bVd br€d ir. pV [. d pm. d. moV. dk^UpcbU pVsdfg. [ pdfm. pd ZVUu[€^dfe. moV. dfpc. pcbUd pUWr€UWVgj[ Vpm. ^U. bd br. p [ j^b[ V ^. m. psd. ]cbd 9pV [. \iUu^. V [. pdfm. LpciU>VsU pm pscbU>g6[]g6UWVu` ZU. pc6[]p. i` cbd c. pc6[]p. jU ehm br psm. d bgb\bp. m. Vsm. gbefU. pscj[]p^d. 6UWV. ciU. d bd. g6UWV 1\bp []psdhm j[ d. ~. U bdhp. o\6[ d. d _[. u`. Upcj[ ppscbU. ‚. m ^dk[. sgjU nd. []\. 6UWefm br pm1pscbU. UWp. ;. m. []d m. ~. d bd. U bgbek[ d iUu^ `bpscbU. bciU>psV [. d. nmoVVsU g6m 6^ Mpm1pscbU1[ sd. cbU sU>^m. gbefUpV [. []d. moV. psdhm. Zm pciU. m€V. efmmogD`€dfpd. Vsm. \ j^b[. U p [ e ^ m. Z[]VUVsUWgbVU U pU ^d Ldfr. V []psdhm. []pdfm. pcbUm€gjUWV []psdhm 6UWV. \ c. dfpsc. pm. j[ U pscj[]p[ VU[. \bpsUo` sm. VUu^\. pdfm []efr€moVdfpsc. [ pdfm. m. gbefU. roVsmo\bg. [ d. \. p [ oU M[. (d pscbU dfpU V []psUu^pdfefe9U bdfp. bm>efm broUWVpsV\bU. VU \befp. ~. W` cbd c. psm. ~. Vm B[]gigbe. pV [. / #~ B ~ B / / B / ~ B ~N / B 9 / ~N / / #~ 9. m pcbU. m€V. d LDdfr oƒ. []e j[ sd. moVsVU sgjm j^d br. mog6UWV [ pU. pcj[ ppcj[ ppcbU. d brm iU. moV TpscbU 6[ d. [ j^. ^ U. psm1pcbU. bUu^. d. [. j[ d. m br sp. ~. d. g6m. psmM[. ~. d befU. d bd. [ e. G. Zžzœ Xž k ž kœ A >¥ #œ kž*ž  V ¦¥ kœ A› ^ >¥ ž iŸwž Z› > ž¥ ›Qž >¥ ¥  V› X k› Z@: 4Êg ^¿ß Wá  >› ^¤ > 4 ? Ò :EDN :FD OU.:ED OUW W:GDN OU :GD OUW WOU.:  Xž A› Z ž :ž X ^ g§WÕ § cbd. Q[ 6^[. >pscbUpsV [. gbefU >^m. d [ gbgbefdfUu^. b bUM[]e m. M[]efVsUu[o^. UWpU V. [ d 1dhpsUWV [ pdfm. [ e_[ 6^+[. dfm 1psmpcbU. dk[ L[]efr€moVdfpsc. m 1pcbU dk^U Zm DpscbUpsVdk[ br€efUroU bU V []psUu^. W` cbUWVsU. U bpU. W[]psdhm Ld rodfXoU. Vm CpcbU. d bd. Q~. UWpsV. m€V cbd sc. bm j^ UWroU iUWV [ pUMek[]pspd U. ^d. W`. dhpscG[ d XoUWV dfm. ~. bm€VVsUu[ sm. pscbU. ` \bgjm. []e 6p1d 1m be. [ pdfm. dfm. gie [ bU. Vsm. moVsVU sgjm j^d br. bm€Vpcbd [ ehr€moVsdhpsc. d. \. moVsVU sgjm j^ pm. pciU>cj[ e. \. [. moV. U bgj[. ^ U. Uu^. VU []efd WUu^1pscj[]p pcbd Zd Z[ scbdfUWXoU ^. ~. m. cim U. dfp 1[ j[ e. Uu[]ps\bVUpcj[ p_r€dhX€U [. cj[]p p [ j^b[ V ^. p [ j^b[ V ^. dk[ G[]e. [ nppcj[ ppciU. ƒ W` 6[. U e. ^m. [ d. > 4 ?. Zž. d pscbU.  k \ bdfm.

(54) . 

(55) .  .   

(56)   .     . ; [WL&`WMWMžL4O&MAN6OQP§e6© VeGRN‰\_T+*,-Sj£LUOQL  N6TWV  N6OQL¼OQLUaQM:jAPQ[L¼`WMMAL4O&MAN6OQP§N6TWV l_e À L4OMAN6OQPQa&eZ©. ?· :·. žqž Z› Z¤ Z k > ^¤ž ^ž V¥ tœ ›

(57)  €§ c\. d. pciU. nmoVU. :ž gœ Xž V › Ì kž › k¨ Z ^ Zž/Ì _¤ Zž X k Z¤. gbe G[€^b^d brG[psVdfXdk[]epU pLgbVsmb^\. [o^i^dfpdfm D`pscbU1[ j[ e. sd m pcbU1[]efrom€Vdfpc. []efrom€Vdfpc. U L[ []efrom€Vdfpc. m bp []d bUu^. d. pcbd. cbm sU. [. d pcbU. Zž › Z Z› ‚¨ Vž Zž+ß B8/WáX§ - V V¥ > ^¤ž ^ž >¥. m€\bpgi\bp. m be. [. d. [. d bd. &('+O! '>'(,9.$ ;ff$! ../ ež > › Ì X©œ k› ¨¤ ¾Êg gœ Xž %› ^ ^› >¨ Vž Zž<§  * kœ Xž A Z >¥ X HË X Z xœ : Zž A ›]§ œ Xž k Z › C  ‰œ V#¨ %ž ¨ _œ k MŸ kž q› <œ  |œ -§ -+Ô ÖØ žÌ ¦¨ g¤ Z jž k› >¥ > Z¤ž Zžœ V#¨ e¨ Vž § ^žƒ¥  j ›#¨ >¥ k ž <  > zœ Xž k Z ~  V -¤x¥ %ž V › ß mÕ ÕWá <¨ kœ › eœ k› |œ #ž Zgœ #œ X X› Z Z Zžj §. '. cbU. ^\ nU [. U. [. d id. psUWVU ^. []e j[ d. ^ dhXd dfm.

(58). sp [ 6^b[]V ^L[]efrom€Vdfpc. []efpsUWV j[ pdfXoU€`. []efrom€Vdfpc. WcbU nmoVVsU g6m 6^d br. pciUMm bUU bg6m sUu^. cbUWVsUo`6pcbm€\broc. moVUpU sc id []e b. pciU[ 6[]e. d. jU. mo\ 6^. pc6[. nmoVVsU g6m 6^d br. pscbU. m€VU. m. W[. gbefd []pU ^. j[ Uu^ €pZd. d. €\j[ pdfp. nU. [. ciU. moVsVU sgjm j^d br. m. gbefUWpUu^. pmM[gj[ pc. []efrom€Vdfpc ` _U. m. W[. bVdfU. gjm€d. pcbUWVsUpcj[ ppcbUM[ X€UWV [ roU \. moVZpcbU p [ j^b[ V ^. nU pUWVsUu^LVsU. [ efromoVsdfpc. [ d j^UWVZVm€\bpd bUd. pscbU. psU 1p [ oU 1d. `. jU \ ol U. pZmo\ip m. pUu^. b~o~. psm. ` i\bp_U [ sc. sd m. >ž ž XžMœ Z¨ ( œ A ž Zž *ž ^ ž ^ V > ^¤ž ^ž ž ^› Zgœ Xž kÁÌ cœ Zž m×WÓ § Zž Zž Xž*ž k Zžfœ k› k ^¤ [. m. Vd 6Uu^LgiVm. d sp Zd. [ j[ e. Um |pscbUMgbVsd. sd. \ sd ir. sd. dfe [ VDpsm. dfgbefU \bg6m. cbd sc. U €\j[]e ~. €oƒoƒ. dfpU V []psdfm 1d. nm. bUWUu^ Uu^. ~. [ j[ e. j[ e gbcj[ sU_l \ sp^U. pcbUefdfpU V []ps\bVU€`. 6UWVm DdfpsUWV [ pdfm. ~. []e j[ d. pVsdhXdk[]eXo[]Vsd [ p_m _pcbU. cbd d efU. gi\bp [ pdfm j[ efe. e; 57 = 7a8:9a? ˜ -8V@ Q  Xž k Xž*ž Zž Xž Z› k >¥ € ›#¨  V¥ A ž  ¥ *› #¨¤ ež V – ›£§ ¦› œ k ž Zž Z :ž*ž :gœ <  X Z¤ ^ 5œ k › V A›¨ >ž Xž ?Ì xž ^› ¨ >ž Xž X ÎÊ § `MU>PGYyNcP KGUVKAL£[~U_bkF:R ^ž 4Êg ‹¨¤ ¥ kœ ^ *ž HË X  i¥ › Z¤ 4Êg A A› ZN ?q§ : Zž > Z¤ž q¨ >¥ ›  b>NZL<`:WCF/YF [#U<bAFXR Ì Z ž z› X›#¨ *ž >¥ Áß"!]á >¥ e¥ *› $#&%('ƒÒ ; à H ?)! à I @@ IÒ y ×GB ž >¨ Z¤ :ž cœ ZžpNË ?w§ > k› >¨  #&%(' X : ž A à’§ (Ì >žà *ž œ A Xž A¨ Z€› k› X *ž > Zž Z¨ k *žœ k ^ žœ  ž I¥ kœ e¨ Z <œ A § ž Xž ž «¨ X gœ %¥ Qœ k ^ žx› * # ›#¨ >¥ A ž Zž œ A ž > > A¨ >¨ -¤ Zž Z¨ k › ž MŸ A X Zž+* œ ¤ ^žMœ ©› -§ - Ì ž ¨ >¥ cœ gœ k ^ Z› X ž k Zž :ž*ž : Z¤ ^ ž X ž qž ÐÏ V¥ Z <œ *ž_§ Zž Zž ¦ >¨  Xgœ ÇÌ k 4Í Z› X ž k gœ Vž V¥ gœ š ž ›£§ cbU. m€V. U ^. pscbU. []efr€moVdfpsc (pm1V [ j^m. d. []d. DcbU. UWXoU. d bgb\bp []VsU. U. 6UWV Zm. \idhp [ be m. VU pVsd pUu^. X€UWVr€U u` 6mopc. d. p [ p. mopscbUWV. [ j^pscbU. _m€V ^. d bgb\bpX€U. psmoV. `9pcbU. ^ U. sd. pm. 9m 9pcbU. ^d. m. m. pcbU. [ j[ e. jU cj[ Xdhm€\bV. [. p1pscj[]p. sU1pcbU. U. pcbU. d igb\bp. 6UWcj[ Xdfmo\bV. m pciU. Xo[]Vsdk[ befU. nUu^ek[]psUWV. m ek[]pspd U. U VU. VsUu^\ npdfm nU. dfpc. pciU. m pciU. \. 6UWV. U1U €\bdfXo[]efU pZpm. [ VU. #m _dfpUWV []psdhm. gjU V. [ gbgbe d ir>pscbUVUu^\. p [ oU \ bd moV. []efr€moVdfpsc. e Lm]X€UWV. pscbUL^U. \ 6^UWV1[. ^ UWgjU j^ Mm. m psd \bm€\. moVpscbU. ^d spVd b\ipdfm ^. bmop [ befUM^d. [ pdfm. U. pdfm. bdfpsdhm. cbUWVU. moV. 6cbU1V [ j^ m. jU1U imo\. U spd. dk^UWVsUu^Ld d. U p D[ 6^>^d spVd b\ipdfm D` psmMdfp. gbVm j[ idhefdfp. bcbd d [. sUu^ciUWVU1d pcbU. mb^UWe. dfe [ V j[ sU [ VUdk^U pd jUu^. bUu^. ps\j[]er€m [ ed >psm. c\ u`pcbU1VsU \iehp Mpm. m. cbU. j[ sU u` cbU VU. cbU. ^m. €\bU psdfm [o^b^VsU. p [ j^b[ V ^L[ ehr€moVsdhpsc. mo\. m psd \bm€\. m ^ UWe. d ^d. U. m bU b^d. . dfm 1ƒ U. d >U. [. p pm. pscbU1[ XoUWV []roU. dhp U bgjm bU pdk[]ep []dfe pcbU.  m _UWX€UWVu`[. psUWVg6[]Vp u`[. []VV Gm]X€UWV>psm. U. psdk[]efe d. U. dfm j[ e W[ UMm "9\ nehdk^. .roU p ek[]Vr€Uo`6dfp. jUgiVm]XoU ^Md 1U. \. pscbU. sdfpdfXoU. psdhm. 6UWVm dfpUWV []psdhm ^ d. VU pU. pmLpscbU. [ ehr€moVsdhpsc. d. m ^ UWe. d WU. m pcbU.

(59) " )% 4+!X 5" *,’ 4+ "" *‹  4%)5" * žž > › Zžœ Až Z¤ Z ƒ¥ Aœ k > ž-¥ *› k ž§ß Zž xœ k› :žUá >žž œ ~œ A Z 1¥ kœ k ž V ž Zž zœ Vž*ž cœ œ k ^ V Z¤ k› sž<§ A¨

(60)  ¨ -¤ Zž Z¨ A œ Až > ¤ V› cœ X ž Xžfœ >Q¨ /Ÿ Xžž >ž %¥ gœ A >¥œ A Z > *ž_§ - Zž¼Ì _¤ Ê ž *œ >ž > Z¤ž Zž V¥ ž*ž V › œ Vw¨ : § '5&+ ,  '+ !J.$ ,"$)F()0/. ›

(61)  5œ Xž 1ž <  Xgœ 0/ E B8/ B

(62) 

(63) #B8/ G >¥ V ž-¥ *› ž V¥ / E D ? k¨ Z 1¨¤ ^ V ž-¥ *› A<€§ %ž§Ì jž Ì kœ Qž qœ Xž A 2 ž cœ V ž-¥ *› A / K 2 Ò 9K 2 ? / K / KSÒ K ?A/LK  ߽֞á 2 2 Ý 0/ K Zž ZD ?

(64) )/ K ž ^ž Ê Xgž [¾ß / K á 5ž SÌ #œ k kM  K Ú A§ ž 5¥ k›Â߽֞á :ž *ž > /Ÿ _œ A >¥ žž > › A Z / E > ž Xž Z xœ k› /Ÿ œ A Z ¦¥ kœ A MŸ V ž k /IE¼Ò B  2 ?  3 ? §§§  G ?A/ G Ì MŸ > ž k Zžž Vžž A >ž / G Xž Z > 4?q§ x ›#¨ >¥ k ž  X Vž*ž › Xž H,Ú A§ CK >ž k§ Zž ž ž Z gœ Z ž 32G >¥ Z ¥ Aœ A > ž¥ › k ž >¥fbAF-r YaD ,ßc¥ sÚ á 4Êg >ž xœ <œ k >¥ ƒ+ß /Wá V¥ e¥ ›  ß /Wá£ Ò  R  R

(65)   R  +ß /WáÒ B Iß á R  2 ?  3 ? §§§ . cbU‚M[]\. dk[ 1[]efr€moVdfpsc -d. pc6[]p[]VU[. m. dk[]psUu^1psm. efm UWe. VUWek[]psUu^1psmMpciUefd bUu[]V. m pd \bUu^. V [ npdfm. bdfefdfp >^d psVd b\bpsdhm D`]pscbU[ X€UWV [ roU pcbd. [. `[. jV p[ XoU V []r€U. ` [ j^1psc\. m p[ j^. W[ sU>[ j[ e. pscbU^. j[. dfpUWV []psd irpscbUpsV [. m€V. ]

(66). ZU. d d. `|~. VU \befp pscj[]pZ[ U bgj[. U. U. []psd jU. \bpdfm. ~. m DpscbU‚. dk[. 6UU. giVU. W[. sU €\bU. spUWg. pc6[]p. []e m. W[ efehU ^. m psd \j[ pgjm€e Uu^. [ [. cbm. im. \. moroV []gbcidhU. dk[ e. cbUgbVm j[. pdfm 1m. m. psd. \6[ p. m€V. []pdfm. 6UrodfXoU. nU. m 9pV [. moV. _m. moVsVU sgjm j^ pmM[g6[]Vpsd \bek[]VpsV [ ~. moV. ~o` m. []\. [. U [. [ M`]U [ sc. [ pdfm. d W[ e. []efr€moVdfpsc. QgbVmb^\. []pdfm. m€V. ek[. sdhpsdfU. dk[. ~. #cbdfefU. pdfm 6[]ebpsV [. d Z^U. sd _m |pciU>‚M[]\. cbUM[ ehr€moVsdhpsc. m ip []d bU ^. V [. [ e mMpsm>pscbU. _U1c6[ XoU. pcbU. [ ehr€moVsdhpsc -m 1d bgb\bp. dfm. m 6^dfpdfm. pV [. ~ jc\. se [ pU Zd pm>[. nm. giehU. `. Vsm. W` pscbUWVU. m pd \bUu^. V [. psdhm. ~. ~. ~. cbUWVsU>pscbU. U bgj[. Xo[]ef\bU. ~ 

(67) efe pciU. sdfm Ld. spm€gbgjU ^. cbd _efUu[€^ Z\ _psm>d pVsmb^\. [ pscbU. moefefU. psdfm. [. mm. [. ehdfU d. jciU. \. jU Vm dfpU V []psdfm. ` `jpscbU. [. s\. U pcbU. 1[]VUM[ pehU [ p~. m []efe. d brMpscbU sUWp. Zm |pciU. m Defd bUu[ V. V [. pdfm j[]e6pV [. moV. []psdfm. 9m. m€V. ~ _^ U. bUu^. moV. ~. ~. ~.  G3? /. Ò § - xž <  ?Ì X x¨¤~X X V¥ k› ¤C¥ > X› X V¥ žÌ (Ò § QFXl>F:PYÔ 

(68) Ú 7? 4Ø œ Zgœ Xž/Ì ež >¥œ k› MŸJ/xž gœ < K ß+/Wá A¥ *Ò × B

(69) 

(70)  BJ K Z ?w§ %žž A >ž > < pß+/ E ᨠk kž > 4? ež >› -¤ Gž¥ j¥ :ž(< ß / E á ¥ ¹Ú !§ ž ‰Êg Z @? G mÒ <Q G ß"?¹á Ì ? E Ò? ?Ì #Ô Ú H? 4Ø ? G § Xž A› ^ ž ¥ › V ZžÊg XžCœ : Z wœ Z 7?0E ? 2  ? 3 X§ V kœ ?0G Zž ^ž Z  k * #¨  ¤Qž *ž >¥ › >ž I× * V¥ > ž¥ ›Qž >

(71) ¥ ?¨¤ V ž-¥ *› A ž >¥ 2BG >¥ßWá ?0G mÒºÔ 

(72) Ú H? 4؃Ò! ƒß ?¹á  " #$" % G Zžp& Ë ƒß ?¹á Zž ZžË >¥ >› »ßUÔm× B ‰Ø­á:§ƒÝ ^ ¤ >¥tœ k Z ¥ kœ A ž > ž-¥ *› »ßUÔm× B 4ؽá >¥ ^ ÆÔm× B ‰Ø¨¤ > k› ¤  >¥  ZžS˝ (Ìj Vž ¥  >› X Z >¥ >JË § : ^ >¥ ZžpË'ž »"ß ?¹á Zž ~œ %¥  >› : ZžpËž Zž X Z /Ög§ Zgœ e¥  V› X Z Zž >¥ VJFË  Zž Z Q¨  ¤Qž *ž >¥› >ž × ¥  >› X ^žËž >¥ >JË  ^ž Zž Z Z Qž >› #ž X ž V Xž ©œ A ž k ž Z› Z¤   s¥ *› k¨ V¨ Zž cœj› V¥ ž k¨ V¨ -¤ (5G › -¥ *› ž >ž H? k ž ^ž ? G) Ò Ö (0GÒ*) »ß"?¹á Ò X ƒßQ×Wá .ƒß Gá&X 3 B ß á Ì. 0CKD ; ~B ƒ B

(73) 

(74)  G b LpscbU sU €\bUWe` _U>^ U bmopsU   m O2G` _UMc6[ o X U

(75) X X . cbUWVsU>pscbU cbU. 

(76). ~. sm m L[ [. m€V. d. bc\. bdfpsU. ^ U. `j^U. U j^d br. U [ \iVU. mod. nd ^ U. dfpsUWV [ pU. m |pV [. dfpc. pcbU. sUWpm. 6UWefm ir pm. bd br. gbefU. `pcbU. [. dfpc. j[ j^. Zm. 1pcbUMpsV [. ^U gbpcLm cbm. m€V. Uu[ sc. []pdfm. moroV []gbc. s\ scLpc6[]p[]efejpscbU. UgiVmog6UWVsp. cbm€e ^. ` ZUc6[ XoU. scj[ d D` moV. m. €pciU. W`. m€V [ efejpscbU. N~. d pcbU>^ d fl mod pZ\ bdfm. m. m. m€V[. UWefU. moV. U p. `€efdfUd. \iVpciUWVdfpUWV []pU. icbU sU. ^m. #\bg. 6mo\ 6^b[]V. pm. [ d. moV. [. U p m. `. N~. cbUL^d. d 1pcbUL^d Gm M^dk[. ~ Zm Zd psUWVXo[ e. VU j^UWVsd ir d. m ^d. U. \ j^b[. m V [. []VsU. gbVsm j[ bdfehd spd. Ì. cbUWVsU. ). u~. ). [. `j[]e sm. U p [ e d. [ e sm. UWpUWV. u~. #dfpcid. moroV []gbc. m. ^U gbpc. cbm. W[ efehU ^. pscbU. \ j^i[. psUWVXo[ e m V [. ^d hlnmod pd pscbU. X Xž. V¥. U. sU. ? ). ). []d. pscbUWmoV m. bm. pZ\bgLpsm. nm pd \bUu^. [. u`id _r€dhX€U. sUo`_[ j^[]efepscbU U. d. 6mo\ 6^b[]V m. [. \ j^b[. €,+ G " #$" %. ). ). V k§ ä. m 9pcbUgbek[ bU. + " #-" %. U p m. Uu[ s\bVU. dk^U V []psdfm. G. V [. psdhm. u` pcbU. psV [. m€V. U p [ eDd pUWVsXo[]e9m _V [. 6

(77). dfro\bVsU. d. pcj[ ppcbU>[ efromoVsdfpc (g6UWV m€V. A› Z0/ >¥. m "[1^m. p []e ^d. L[]VsU>^d hl m€d. [. m ^ UWejm \ Uo`ipcbUgbVsm j[ bdfefdhp. ^U bm€pU pcbUM[ VUu[. U. pcbU. Ld. gbe. ~. [ pehU [ p. i`. \ 6^b[. U p []eD^ d. pcj[ pu`\ j^U V>pscbU N~dhpsUWV [ pdfm. \ id moV. d. .

(78) ; [WL&VWeRN4\_Ta.,  7 >  7 ,-  >   ,-   >    ,- > ,-¼OQLUMOQL4aQLUT(PQL4VYN4l_PQL4OQTžNZP]\_dLl_•Y\_TYÃ(l¸N6fpÅYN6TWV À [(\_PQLj t ; W[ L l¸N6OQŽGL4aQP&V(\_aQÅ\_a    À [H\_fp[\_a§PQ[L¼V(\_aQÅ eZ©<VH\¸NZRSL4PQL4O v ªC o Œ j u ?·?·. "+O!%$+

(79) O"+ !#)0/ k› Xž >¥ 2 G  Z¤ >žž œ YÌ Qœ k Z ¦¥ kœ k ž >¥  X› ž :ž MŸ Xž*ž ^¨ ^ *› ž V¥%`MUVPYyNvP K J>PYOL <Ô §žÕ(֞×Ø§Ô Ø*§ xœ A Z > Z¤ k› sž 4Ê5 q¨¤ p G +ß ! 2 BH! 3 B

(80) 

(81)  BH! G á£Ò ! G p G Q<2 ß+! 2 B

(82) 

(83)  B8! G Q<2 á ?p G Q 3 ß+! 2 B

(84) 

(85)  B8! G Q 3 á B ߓäá Ì p E Ò 3p 2 ß ! 2 á¼Ò ! 2 § ž ZžSÌ Î͞˝ (Ìj Qœ A Z > Z¤ k› p G ß+! 2 B

(86) 

(87)  B8! G á Zž ^ž #ž › >¥ E› k k› Zž A¨ Z©¨¤ œ kžž Z *ž! !  >¥fœ k ž <œ V¨ Xž Z gœ ! 2 ! 3 +!3G§ k ^ V *ž žž ^ž¥a¤ xž*¤›Q› ¤ -¤ pC Gß  ! 2 2 B

(88) 

(89) JB8!G(á¯Ò pGß+!3G B

(90) %BH! 2 á >ž*ž cœ Z¤ t¥ gœ k  R D 2GÌ  Ò ß  2 B

(91)  B8 G(á › *ž /Ÿ Xžž k  ß /á. Ò pC GG ?? /j/ pC G G Q<2 B R Q2 Ì e¥ fœ 86wœ : už pGß âá BDpCG Q2 ß ?á B Gß ?á B G Q<2 ß âájœ Vq¨ MŸ Xž*ž >ž X› X *ž >¥ ¥ V› Z¤pCG p G ß âá£Ò p G +ß  2 B

(92) 

(93) JB8 G á B p G Q<2 ß ?áÒ p G Q2 ß  2 B

(94) 

(95)  BH G Q2 á B ߓÓá G ß ?á Ò p G Q<2 ß  3 B BH G á B G Q<2 ß âá Ò p G Qƒ3 ß  3 B

(96) 

(97)  BH G Q2 á . V k›  ¤  Zž >žž œ Û+ß  2 B

(98) 

(99) JB8 G á X ¨

(100) ¤  k› ¤ >žž œ ß  G B

(101) 

(102)  BH 2 áX§ % >ž p G ß ?áÒ p G ß ?á B p G Q2 ß ?áÒ G ß ?á  ß á. Zž *› Z > X -¤ pCG G Q<2 }pG Q2 G/Ò ß Gá G  ß G×á. >› >¥ «¥  >› : ^žË »"ß ?¹á Zž Z '»ßUÔm× B 4ؽá:§  D 2 G X  # V¥ Zž >› fœ Vq¨ xž Z¤ MŸ Xž*ž q¥ k› ß G×á&Ì ©œ k ^ V *Pž p G V Qp G Q<2  # x Ò X »ß“×á »ß &á XÒ p G Bß p G ? p G á  ß á Q2 Zž1ž Z› 1¥ Aœ Vž QÌ £› Z’œ k ž <  Xgœ Xž j¨ ¥ ÁÌ ž *œ Vž > Z¤ž Zž > ¥ qœ >ž  > Z¤ž Zž V¥ 0

(103)  ›£§ Ó m. U bgbVsU. sd iehU. d. dfpc. mor€V []gicbdfU 9m. psUWV. W` f~o~]`g. ~o`. []efe. m im. sd W[]efe. cbUWVsUMpciU. imoV. 6

(104) d. _U ehe. nVm. d br. dk[ e Zpcj[ pm bp [ d. Zm psd \j[ p Zpc\ Zek[. [ Qcbm. []psd. `[. mo\iV. []VsU j[ p\bV []efe >[. _m. 1pciU. \. ndhU. moroV []gbc. im. m. dk[]psUu^. cbU. pscbU. m. psd. mo\ipg6[]dfV. dfpsc. m pd \bUu^. m pd \j[ pg6moe. \6[ pg6moe. m. nm. sU. bm. bm. V [ npdfm. m |^UWgipc. d [ e _[ VUM^U. dk[]e. d [ e sm. \bpsdhX€U1Xo[]Vsd [ befU d pcbU. pscbU. UWefXoU. pscbU. \ Sm. bUu^. gbVsm ^ \. p. UWpV >giVmog6UWVsp. psdfm. mU. ƒb~. dfpsc. [€^. p. dfp pcbUMU. W[. Fpcj[ pLd. [. m. dk[]psUu^Qpsm. jUU bgbVsU. `^ U bmopsU. giVU. dfm. sUu^[ UWefU. U p Zm. QpscbUGcim. [. dfe. m€roV []gbc #[. m. dk[]psUu^Qpsm. 6 bUcj[. . m€pUM[]e sm1pcbUM^UWpsUWV. d j[ pZd ^ U pdfp. M~. cbUL^dk[. ^dk[. UWpUWV. UWpU V W[. jU. \ j^i[. U. smoefUWe 1U bgbVsU. m M[. sUu^. p []e_^ d Vm. d. ~. dfpc. pcbU. d pUWVsXo[]e. d. [ 6[]e. d _m |pscbU. gbefU. [. p1cj[ >p Zm. -[]efr€moVdfpsc. []d. m. sU €\bU. ~. m psd \j[ p. nU u` 6mopsc. Dbm€V. `9pscbULefU br€pc. moV. pcbU. m pscbd. [ j^. ~. ~. cbd. ~. ZmoV p W[ UL[ j[ e. ~o~. sd u`9[ j^. m€V>pscbUL[ XoUWV []roU. W[ sU.

(105) f)(!. ¨ *ž/ 6UWV. SÝ :ž*ž > #ž (Ì 

(106)  › ÐÌ _¤ž › Z Xž,¥ jœ A› MŸ# › -§ xœ :ž k Z ¨  ž Z : Z > ^¤ž ^ž >¥ ZžCœ 1› -§ /245TE#:=O'$.>%5? G mÒ <Q G ? .0-$u-)*"-D=! :=8v!G4545:=J. &:%3!n$&<3-&!GJ. WG/< Ò ; /'X3X ?/5X#Z 3 G G0B. &(")'F"+ .$ )($)0/. U^dfroVU. e. pcj[ p[]VU. ")($!#$. bm€pVUu[ e bcbU. [ 6^. cim #pcj[ p_pscbU. m€VVU g6m j^d br. [ efromoVsdfpc. jm€\ j^ d pU VXoU bUMd. []e [. pUWV. m€\bVek[]pU V[ j[ e. +. . d j[ pU. moV. m. sd Zm pscbUM^d. gbefU. VsUWpU. \. mb^UWe. . ~. ?456J6 Ò ß ~ ? „ (á%oƒ.0-g!G459@*:<+E#6%QJU$!.:*1

(107) N%}$%f:%*J6$&< .>% o)*! /Ql ?/'Òº y × m!G45%3)O'"6J(&ß /ái:=8o.B!+6JU$!.:%*-:8 $&< @*:J.B!G4*O   {-U$!.0-Sf6-. Æß /Wá Z ƒ ~. rWMU<U\XmcbUež*›. ~. X ?/5X. efmor. Xž jœ A Z > pCG Zž k¨ Z A¥ A› ߓäá žÌ Çß? á-ž Z¨ k AœXœ  ›#¨ G 2 ‰Êg ¨¤ E¼Ò × B Ò ß N? „ Wá% ,ßI ? Gáž ^¨ k kœXœ , ›#¨ G ž V¥ %¥  >› X ZžpËƒß ?¹á‚ž ZžQÊ Xž G¥. pm. pciU. ~. V [ pdfmj` . []efefU p. m. psd. pd 6m j[. \6[ p. d \. oƒi`jpscbU. ~. pc6[]ppciUV [o^df\ m pcbU. Md m ip []d bU ^ `. 6UWV . Q~. \ 6^b[. `b^U. Vm. pMd 6m 6[. d. U p []e ^d. \.  # ƒ. jUWV. [ pd 6U u`. ~. 3G. []efe6pcbU. 1[]VUU €\j[ e pmL~ cbU D`. F~[ j^. [ pd 6U. moV[ ehe. Z. ~uƒ. : 0CK <  A§ X fpG Ò2 V G 2 Ò GNG ? G Q2 § O¥ Zž 2  ž V¥ ZžQÊ Xž G  2 Ú Q<2X§ k›0ß á ?Ì. W` cbU. bUu^. ß á. 0. m "^UWgipc. scbm. `j[ j^. pcbU jV p[ Zd [ p. -

(108) - $ $ $)(!%$#&. ž*ž V. ‚M[ \. /. sd [. U Vpdfm. b. m pU €\j[ eDpsm. bm #pciU `6[ j^. m. _U. gbefU. \. m bp []d. ~uƒ. d. psUWV. m. m. dk^UWV []pdfm. m pd \j[. []pd jU. *› ž MŸ Xž*ž. [ 6m]XoUg6UWV. p. DiVm. gœ Xž X gœ. MVsUu^\ nU. d _pscbUrom€e ^ U. ~o~ W` _U1^Uu^ \. U. B. 6UWV. €œ k ž A ž >¨ › Z *› ž >¥œ k Z V ž<§. "+ .$ )($)0/ciU. [ ehr€moVsdhpsc. o. `. Ì cœ Qž (Ìjž ¾Ê ž Vž*ž A § O¥  (Ì zœ A› MŸQ ›#¨ 1/ ž Zž Ê XžgX ?/5XÚ ? G V $&ß /á ^ž j› Až <   > sÌ k¨ Z+ß Wá:§ cbd sc. dhpZ\ pm1U bgbVsU. Q 3G. :/1œ V  j¨ k. `pcbU. W[. bmop 6UWefm ir>psm. k¨ >¨ -¤ Zž Z¨ k >¥. pcbUMgiVm 6[ bdfefdfp. ^d spVd b\ipdfm. m 9pcbU. 'f('/245 fJD:*"h$#".0<0.B! (0G !43$!N$&< @h:=J.B!4*OT    6J/8;:J/OA-PO|:=JD!4 $&% C.B!;6J $#!G.c:=%*-u:=%‚$gJU$%3E#:=OY.0% o)k! D ? .>-i fJD6-/-.B"<$&~ (5G mÒ a9VÔ Ú  ?#~‰Ø Ò B + G p 3G ßFp G ?p G á 3 < Q 2 " #$" % ?456J6pS G Ò pG ß  2 B

(109) 

(110)  BH (G á3pG Q2 Ò pG Q<2 ß+ 2 B

(111) 

(112) JB8 G Q<2 á$&% E !G459-&)O .0-i:L&6J$<0<5.0%3!;/@*6J-KÚ ~1. rWMU<U\XmcbdZžžsp. X› : Xž ž¥ k› œ k›#¨ Z Z /Ÿ Xžž ¤1¥  ¥ k¨ V¨ -¤ Zž Z¨ A § 1¥ (Ì Z >¨ Zž _¤ ž k¨ V¨ -¤ Zž Z¨ › cœ 5› ž V¥ <œ k Z ž Xž >¥ × ež Z› =Ov ª jD ” h ” ¦ oD ª j ª6q ” qD ” g ª j ª o ªD ’ qF ª j ªª ªª ª j ªªGª6q(ª ¦ ª j ªªGªª ”D ’ ¢ r(MžL4f4PpNZP]\_eT ªojj ªg ªGF ªoªo g ß á.  []efVU [o^ cbU U Vd W[]e. []psU. m€\ j^. U. p9VsU \befp. Vsm. m. bd bd brpcbUU. giVU. k >¥ >›. dfm. m€V_pscbUMgbVsm j[ bdfehdfp 1^d psVd b\bpsdhm. m D^dk[. k V¥.

(113)  ‘œ k› k ž >¥ o Œ 9œª \_DR/`(h l¸N6qœP]g\_e¦ TWa ª jj ª6q” ” q”D ’(o ªZqo ª j ª o ªD ’(oZ’ ª ª j ªª ªªZqD ’G” ª j ªªGª6q(ª hGh ª j ªªGªª ” ªFg¦ o ª j ªªGF ªª o h oj g o ªhZq. m€ehefm d br1p [ befU1^d gbek[ pcbU1gbVsm j[ bdfefdhp L^d spVd b\ipdfm Lm U pcbmb^ m "U npdfm  []r [ d pZpcbUVsU \befpm 1 ~  d 1\bek[ pdfm !. "$#. . !&%. >¥»ß"?¹á X Z#ß Gá'Ì. U pUWV9m. 9r€dfXoU. ©¨¤ ›£§. m gb\bpU ^ m |pscbUM[]efrom€Vdfpc. d. ~o~. j¥ *›. dhpsc>pscbU. :› Õ >. LcbU moVU. [ j^. moV. # . pcbU. \.

(114)  '> ;"' &(")'"+ .$ )($)0/ j› Vx ›#¨ V¥ k ž V¥ |œ 5œ k › >¥ ž*ž › *ž I¥ ›  A Z Xžœ k ^ V *ž<§HÝ §Ì ž Z <œ A Zž Zx¥ Aœ e ›#¨ >¥ X› Ë >¨ zœ k ž > ž Zgœ Z › V¥ › X

(115)  > :ߓÕWá:§ 'f('O/245TO|$%'%3)O'"6J:8N.F!+6JU$!.:%k- ( m Ò sÔ ¯Ø :8P$< @h:J/.B!4*O

(116)  $ 5<0.E!+:'$,J $&%3E#:=O /EDM? .0. [. . cbU. Uu[. moV -pscj[]p imefm broUWV9d Xom€ehX€U. m 9VU. []V o[ befU. nm. sp [ p d. \. 6UWVDm. m psd \j[ p. ef\j^d br. dfpU V []psdfm. m jpciUe [ ppsd nUVUu^\. U dfefe UWUek[]psUWVd 1U. pciUpsUWpV []efmor[]Vsdhpsc. m "[]Vsro\. psdhm. pdfm. [ efromoVsdfpc Nm D‚M[]\. pcj[ pdfp|d 9VU e [ pUu^. U p~ oƒ. d. [. _[€^. dfp. \. 6UWV. p9pmM[. [ j^. . @#.BL6%" _  !G45E#:k)*"<P-)OA-. . Õ GÓ× ß GÕá Ñ2 3  +

(117)  3  ` 3 Ò Ö ? € + 2 Ñ 3  +

Références

Documents relatifs

Their properties are weaker than ours, since they only assume a variation of our Property 2.4: for this reason, they manage to ana- lyze algorithms that compute local properties,

He is best known for funda- mental advances in mathematical methods for the analysis of algorithms, and his research also opened new avenues in various domains of applied

Our analy- sis is based on studying the average in addition to the worst case, and the spirit of our results is the following: given a not too coherent dictionary and signals

The token-based algorithm A (see [12, 15]), which is analysed in the present paper, is the first mutual exclusion algorithm for complete networks which achieves a logarithmic

and his research also opened new avenues in various domains of applied computer science, including streaming algorithms, communication protocols, database ac- cess methods, data

Key Words: LIBOR Market Model, lattice model, tree model, shifted forward measure, drift approximation, risk management, calibration, callable exotics, callable bond,

We establish recursion relations for the generating functions of the average numbers of (variable or color) assignments at a given height in the search tree, which allow us to

There exists a positive real constant C such that for any positive integer n and any deterministic complete transition structure T of size n over a k-letters alphabet, for the