• Aucun résultat trouvé

The Complete Analysis of a Polynomial Factorization Algorithm over Finite Fields

N/A
N/A
Protected

Academic year: 2021

Partager "The Complete Analysis of a Polynomial Factorization Algorithm over Finite Fields"

Copied!
32
0
0

Texte intégral

(1)The Complete Analysis of a Polynomial Factorization Algorithm over Finite Fields Philippe Flajolet, Xavier Gourdon, Daniel Panario. To cite this version: Philippe Flajolet, Xavier Gourdon, Daniel Panario. The Complete Analysis of a Polynomial Factorization Algorithm over Finite Fields. [Research Report] RR-3370, INRIA. 1998. �inria-00073319�. HAL Id: inria-00073319 https://hal.inria.fr/inria-00073319 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)       . $ 2. -. %'&. )<.7=3'),+. (*),+. -/.&,01&. :2,.. ! "#

(4)   . 243526.8759:9. ;2>(<01)<?

(5) :@A2B0C:)D3. )4I,&J?. KL3M:G01&. 2,.EF)<?

(6) :G0H%5+. K/&J.NO9. PRQTSVUWSVXTXY[ZU]\_^a`bUVY_cedgfG\ihjSVY_kmln`poTkaqg`prdgsG\rTSVY_UP\tr8\kuSW`. v`1wbwpxby z"\tk|{. }e~p~b. €m"ƒ ‚ z„ƒ† . apport de recherche. ISSN 0249-6399. ),;. ! .

(7)

(8) 

(9)      

(10)  !"$#%&'$

(11)  ($$#)*  +,-#./)*0.1' 2 354"68796;::'<= 7?>@BA7;<DCFEGH>FI%6;<DJHKLA%MJON"AP$EQH>P"6;<R753S>*P->JB6;A !T VU XW ZY ;[ [ ;[ \TH] ;^ S_ 8Y ` O[ a[ bU cU DY €Q Y ‚ Y c. Y[ . l. Y rTSVY[UV` pS aSVY_U. _\U aoTU{. `pUVS po Y. Pk|`e^ Y_c. mU p`. m\tXTX8`bk|cqgYCkuY uQTY_k uQTY. fd ehgjiRkDlnmDiZop_ rq T 1Y -u vs DT !w x ts Y \ [ ZT 8\ ts ts }s Z[ n[ jY ;[ 8\ FT. q oTrTS 8Yeq. q. 8Y U q {CSV{. bSVhpY_r. ` mSWrgcuY_k|Y_{uc. €QTY. ` k|Y_XYe\cuYeq. s. FT `. X8\tk \. SV{. cuQTY{|c \tr8qT\tk q. \ ac|`bk|{idTqgSV{|c|SVr. `pr. X`pU grT`. c. p. Y_c|Y k|{kuY_UVY_hp\rgcc|`. \{|Yiq`pr. \tr8q`pr{|SVr boTU]\kuSWc \r8\tU g{uSW{. a` 1XTUVY_cuY \r\U g{|SV{`. {uc \cuSV{|c|S a{. Y `pk. }e~b~p. X8\ bY_{. ts DT Vs F[ %Y 8\ FT. q 1] XY Yys "[ s B[ 8] Y tT 9\ s Bz F[ Y \T ;[ Ru{_ B[ FT 9\ ZT js Z[ 8| [ -] 9T s F[ 8| O^ !Y -u$~ ] ;[ /q Z] L[ Ds 8\ Ou. c|kuYe\c 1Y_rgc`. k \. z„\k|{. pY_rTY k \cuSVr. `bkCY Tc|ka\ acuSVr. \{. qgY pk|Y Y. \ acu`pk|S e\tc|SV`prdp\r8q. `pkCqgY_{ ak|S TSVr "X\k \ 1Y_cuY_k|{. 1XTcu`pc|S. X8`bU grT` 1S]\U \ ac|`bk|S e\cuSV`pr. S \tU {`hbY_k 8rTSVc|Y. \ acu`pkuSWr CX8`bU jr ` 1S]\tUW{`hpY_k 8rTSVcuY. oTr ac|SV`pr {. hp\UVoTY_{. r. uQ8\SVrCcuQ8\cSV{ 8\t{|Yeq. `poTc a`. `pr. Y bo8\U qgY bk|Y_YG{uY_X8\ka\cuSW`br. Y_U]qg{m\kuY[` Tc \tSVrTYeq. SVr1c|Q Y. a`po k|{|Y. `. Y_UVS. YHSV{H\. SVr8\cuSW`br. gY_hbY_k \tU 8\{uS. cuQTYH\tr8\U g{|SV{.  W O[ B[ H€ `5€_` *[j^ n[ /‚ n[ ` [!^ n[ ƒ Z„ O„ † $~ S_h‡ˆ† bz‰ n[ OŠ yW RW {‹"‰ ZŠ HŒ v„F„  yW ROW [ {‹,‰ FŠ LŒ L„ r SWc YCqgYGk|Y uQTY_k uQTY. \tSVrTYmqgY €. `pUVo. Ye\od. Y_U Y_XTQ `prTY. `. boTY_r a`boTk|cid P. wpw yT}Gwp~. pw. }p}. |v. `. }ey TdTxbT} bw. €. Y_U Y a`bXTSVY. po Y_r a`boTk|c ƒ. . ƒ Tv. wbw yT}Cwb~. YeqgY. bw. bwwpy. Z k \tr aY.

(12)    $

(13)  2  ($$#)

(14)  2 !"$# ' p2   

(15) -  # -$# X.1.

(16) g o †Y_c\kuc|S;[aUVYmX. {[ rqW  8\ DT ^  cs F[ 8\ F T [ ,q u W  W ,Y$W SW ;[ W ,RW [ n[ z DT   8\ Y SW ^ s s T \T ;^ [ Ru F] 9\ [ ZT  [  [ ;^ ,s F[ /s ,W W 9T s F[ W SW W s Z[ !Y W ;[ W !Y W !W Y z-u ;^ /] z 8\ F T /[ ,q W L[ 9\ Fu rTY rjcmq \rT{U]\ { Y_k|SVY_{. k|`pX`p{uYmoTr. \pqgkuYmoTrTS. Y. \ acu`pkuSW{a\cuSW`br1qgYGX8`bU jr ` 1Y {{|oTko r. X8`boTkU \r8\tU j{uYmqgY_{X8\ka\ `pk|X {. 8rTS. Y_r Y_k \tc|k|S aY { oTcuSVUWSV{ Y_Y_{X8`boTk q Y ak|SVk|YUVY_{ XTk|SVr aSVX8\to CX8\ka\. qgY{uSVr poTU]\tk|SVc Y. boTS. `boTk|rTSVcUWY {SVr. `pk. \tc|SV`prT{\t{. Y_ ‚ c|kuY_{ boTSSWrgcuY_k|hgSVY_r. Y_c|o8q Y[kuY_X`p{|Y Y_ ‚ c|kuY_{edgq. q. oTrTYGX8\kuc{|oTkUVY_{. \oTcuk|YX8\kuc{|oTkU \r\U g{|Y. 1X c|`pcuS po Y_{ a`bk|kuY_{|X`pr8q \rgc|Y_{ ƒ{|c \tSVrT{|Sg`. c|Y_rgoTY. oTr Ym\r8\tU g{uY cuY_oTk|{. a` 1XTU _ Y ‚ cuY q o rTY uQ8\ VrTY aU]\{u{|S boTY q Y \ acu`pkuSW{a\cuSW`br `br8q Y_Y{uoTkU _ Y UVS SVr8\ic|SV`prGqgY_{ \ k Y_X Y_c Y_{id U]\ \ ac|`bk|SV{ t \ c|SV`pr Y_r"qgY pk YHqgSV{|cuS a| c {idgY_cU]\C{ Y_X8\ka\cuSW`br"qgY_{mqgY bk Y_{ Y j\to PUVoT{|SVY_o k|{. {uc \cuSV{|c|S boTY_{GqgY. 8\{uYCk|Y U \tc|SVhpY {m\o 1X`pU gr `. Y_{{|oTkUVY_{. a`pkuXT{. 8rTSV{k Y {|oTUVc|Y rjcGqgY. aY c|c|Y. \r8\tU g{uY.

(17)  

(18) 

(19)   

(20)    !

(21) "#$%&'()*

(22) ,+&-! ./&01!!1!

(23) 2 3546879683:35;'<=79>#?A@79;:BDCFE>9GH68;:IKJL@MHIHNL@OLCP>OHNKN>HOH6Q;57R3S>OH>IH6T@ UDVXWZY![!\^]!Y9_H>a`!b!cedSfhg i8jZfhkAiQl)fZb!i=mon:pSkojZkol)fhiqfZjZrsjtfvuwfhxokob!i5iqmynzkA{|iTm}jTcebS~Dp9mouw€bSmolcwkouwr:m‚x€fZjPd!b!cwiqf dSfZuwg!rcwrL~}cwxAfZb=_B:ƒSfynwjZkol)f|„5mojq )cwr†SkArTf|g‡mobˆ~AfZbSfvjtk€i8cebS~‰nw`!bS{|i8cwmobSrŠnzmojyg!fhrq{Zjqce†!cebS~LpSkojZkol)f|iTfvjtr monPceb!iTfvjtf|rTiDkobSg/mobˆr8cebS~}`!uwkojTcwiQ)kobSkouw^rQcwrHn‹mojŒf|XiQjtk€{hiQcebS~kArT€lpSiqmAi8cw{‰x‚k}ue`Sfhr|_)>Pbmo`Siq{hm}l)fDcwrŒk {hm}lp!uwfhiqf=kobSkouw^r8cwrmonSiQƒSf5rqiTk}bSg!kojtgp9mouwAbSm}lcwkouhn‹kA{hiqmojqcwŽhkAiQcwmob#{qƒSk}cebŒi8ƒSk€iScwr†SkArTf|gLmobŒfvuecelcebSkAiQcwmob mon9jZfZpf|kAiqfhg‰nzkA{|iTmojZr|CAg^cwrTiQcebS{hi=g!f|~ojZfhfPn‹kA{hiqmojqcwŽhkAiQcwm|b=ChkobSg fh‘€`SkouSg!fh~ojZfhfPrqfZpSk}jtkAiQcwmob=_’^f|xAfZjZkou^†SkArQcw{ rqiTkAiQcwrqi8cw{|r5mob pmouw€bSmolcwk|uwr=moxAfvj5d!b!cwiqfdSfZuwg!r:kojtfDmo†SiqkocebSf|gLceb“i8ƒSfD{hm}`!jtrqfHmon=iQƒSfDkobSkouw^r8cwr|_. Zu‡”Z•P–P—P˜P™HšH›:–Pœq˜P• F[ Y 8\ FT -q q VT \ 9x 8\ FT !s F[ 8| !Y / |ž [ \ FY \' FŸŒ ž TH] \- Ÿž [ %Y \- €žu 8T [ n[ q %Y1[ ZT Zs F[ R[ FT $‰ Z] !T rs Bs *s \TH] ;[ !Y nŠ 8Y Y [B\[ ;[ n[B\X[ '[ FT Y TH] Ds ['[ ] Y T ;[ ] ;[-x !\ [ \ \ !T Ou'€ ;[ s F[ 8| ts¡ o¢!£5¤¥!¦ 8\ FT ,q cq Bz [ ;[ T vs [ FT %Y B[ FY T ,q q ‡ F€Œ žu {] ;[ F] t] ;[ Ds FT 9\ ZT vq yq ts \ Ds 8\ FT Ds Z[ 8| 8Y T Ou:§ Dw ST [ Z[ ;[ ts ZT 9\ ZT [ ] \ !T ;[ 9\ ] \T Ds¨ 9\ [ [ FTH] ;[ h©v] L[ ZTH] Ds$Y Yfs n[ Ds %Y \ 9\ Ru ª F] O[ Ds *\ /T ] ;[,s Z[ 8| {[ a[ 8] 8Ynu [ 8T !T Y [ ZT 8Y !] \ !T ˆ €žuH€ w v[ FT tY [ 9\ Ds ] ;[ 9\ ZT ts F[ 8| [ w [ 8T [ \ ] [ FT 8\ 8\ 8\u 8Y T Hw \ H] {s t] T FT X« [ FT w - F„ ¬ Ÿžu Dw B[ Ds 8\ Yv[ FT 8\ n[ 9Y T Rw ;[ DFs ­  -w x  |ž DT DsY s 8\ FT s F[ 8| 8Y T vs F] !T nw 8\ FT $q q Y Fu _  €ž /w Y 8\ ZT n[ 9] \ %Y 8T Ru ª jY ,~ K ¬ €ž tY [ 8\ Ds 8Y T Ou$~  8Y 8\ Y/T. ] 8T s TH] Ds ts O^. q 5q ®§  ] X« B[ Dw S^ w¯ ,s ZT s DT !w x Ds Ou ®d °T±:²"!k ³?^i ´³?R m µkDl  ¶ ²n!k ·D¸ 8Y T 9[ Z] !T vw vs Dw O‹vY T ;[ 8\ ZT P¹º'»H¼Se½ž q [ ZT /s Z[ 8| -¹¾¿¹:¿ ÀoÁ ¹ À|Ä "w ¹ Â!Æ^ÇXÇ^Ç=Æ ¹ Å w n[ ST [ "[ 8] 8\ ZT RÈ Â!Æ^ÇXÇ^Ç5Æ È Å ÃXÃ^à Š Y Ru ] ;[5s F[ 8| [ ‰ 8Ynu OŠ tY R‹ }. Z\ acu`pk|SVr. X8`bU jr ` 1S]\tUW{`hpY k rTSVc|Y 8Y_U]qg{SVrjcuY_k|hbY_rTY_{ SWr. `hbY_kc|QTYGSVrgc|Y bY_k|{ S. XTUVS. {. \c|SV`brT{8SVr. 8`bUWS. Y UWUVSVXTcuS. gdTw } |d ak gXTcu` pka\XTQ. UWoqgY 8r8q SWr. a` 1XTUVY_cuYX8\kuc|S]\U. SWrgcuY pka\c|SV`br _dqgY_{|S brTSVr. aoTkuhpY_{idp\r8q. `. €QTSV{X8\tX8Y_k. cuQ8\c\k|Y`. qgY_kuSWhbY_{. 8r SWcuY. \{|S. SVrgc|Y k|Y_{ucSWr. Y_c|S. 8rTSVc|Y. X o TUVS. `. TSVr8\tc|`pkuS a{. oTk` p^ Y ac`. cu`. 8\{uYeq. `br. {|c \tr8qT\tk qS 1XTUVY. X\XY_ked YmXTku`hgS q Y[\. XTk|`bX8Y_kuc|SVY_{. SVcuQ SV{SWr. c|QTYUVSWr Y`. r. SVUVUVoT{|cuk \tc|SV`pr. X k|`pX`p{uY_{. XTUVS. . Y `pk. {R\tr8q. `pkXTku` TUVY. {QTS pQTU. gQT`po X. SWrgcuY_k|Y_{uc|SVr. 8Y_U]qg{\r8q. €QTY oTU. `pk. Y_k` X8`bSWrgcu{`pr. rGX8\kuc|S aoTU]\kidic|QTY \ acu`pk|S e\tc|SV`pr 1Y_cuQT`Tq. g . `bk. Y{|Q `. a`. XToTcuSWr. Y_Y_r. ZS. {. \tcc|QTY. XTUVY_c|Y_U {uo uQ. \tr. \tc|Y_{. S. }[\tr8q. SV{. by. r. Y_SVU { `poTr8q { gc|Q Y_SVk { a`pXYGSW{ QT` Y hpY_k. cuQTSV{. uQ8\tSWr. Y_rgc. ` 1X\k|Y d QTS uQ. `bkX`pU grT`. S]\U. 8Y_U]qg{\cU \tk bY. SWUVSVc "\UV`pr. {uS 1SVU]\k. \tr8\U g{|SV{G` [\tr

(24) \U p`bk|SVc|Q `pkc|QTYrgo. aUV`b{|Y. XTkuY_hgSW`boT{|U. \tU b`pkuSWcuQ. S \tUV{`hpY k 8r SWcuY. _\{uY. 1Y c|QT`Tqg{\k|Y 8\{uYeqC`brCY_{uc|S. `. pY_r Y_k \tUTSVrjcuY_k|Y {|c. c|Y_{uc|SVr "X`pU grT` 1S]\U SVk|kuYeqgo \ihbY_k \ pY. \SVr. a\r8\tU gcuS. c|`pkuS e\cuSW`br. ` 1X UWY c|Y_U 1\r\U g{|Yeq. Y_c|Y k|{cuQ8\c\tk|Y`. X k|`hgS]qgY_{CcuQTY. SVr. { j{uc|Y. X8`bU grT` 1S]\U \. a`. Y_U]qg{. ` {uSWr poTU]\kuSVc 1\r8\tU g{uSW{. q Y_{ akuS 8Yeq. \{|cuY_{|c"\ihp\tSWU]\ TUVY. 8rTSVc|Y. cuQ8\c c|QTY. Y_c|Q ` q {C`. a` 1XTo c|Y_kC\U bY Tk \. \tr8\U g{|SVr. SWcuQ. {. oTr acuSV`prT{G\r8q. {c|Q\cmqgYe\tU SVcuQ1X`pU grT`. wb~ c|Q\cHqgYi\UV{. k|Y pSV{|cuY_ked. QTY. 8Y k` {|`pUVoTcuSV`prT{. boTSVc|Y[q S. Y_kuY_rgc. k|` DcuQTY. `pUVUV` {. pSVhbY_r

(25) \. ` c|QTSV{X8\tX8Y k. \tU p`pkuSVc|Q. oTrTSVhp\kuS \tc|YCX`pU grT` 1S]\U \tk|YGX8\SVk SW{uYCqgSV{|c|SVr. bY_k|{ €QTY. Y"c|Q Y. wT} |dik|Y_hbYe\UV{X8\tk \. m€Q Y. `prTS. rT`pc. ` Y_hbY_ked c|QTYCqgSV{ aSVXTUVSWr Ym`. ` Y bo8\cuSV`prT{`hbY_k 8rTSVc|Y. k \. {|cuo8q JrTY_Yeq. { `pk g{. . SVcu{|Y_U 8oT{uY. c|Q YHrgo. \c|S _\tUVU. cuQTSV{ \{|S. SWc gdqg`gY_{mr `pcm\X X8Ye\tkc|`Q8\ihbY. Y. XTk|` TUVY. X8`bU grT` 1S]\UV{G`hpY k. uQ8\tSWrcuQ8\cSV{. _\{uYC\r8\tU g{uSW{ `. \XTXYe\tk|{CSVr. QT`poTX. pY rTY_k \tc|SVr. \ ac|`bk|S e\tc|SV`pr. XTUVY_c|Ym\ihbY_k \ pY. rgoTcuQ. r

(26) \rT`bc|QTY_k. oT{uYC`. cuk|Ye\tc|Yeq{ g{uc|Y. a`. \ acu`pk|S e\tc|SV`pr1\tU p`pkuSVc|Q UVSVrTY_{. TSVrTYeq. 1`b{|c 8\t{|S. 8Y. bY_rTY_ka\UXToTk|X`p{uY. \tU p`pkuSVc|Q FcuQ8\c. V}exgd }igdT Td jw. a`. S \tU \ acu`pk|S e\tc|SV`pr. ` q SWr HcuQTY_`pk. _\U aoTUVoT{. ` Ck \tr8qg`. Y_rgc \tc|S `brT{oT{uYeqSVr. Q S uQdTq Y_{|XTSVcuYCSVc|{{|S €QTY. cuQTY. {uc|o8q SW{ c|QTY. {. c|Q YCSVr8qgY. X8`bU jr ` 1S]\tU \ ac|`bk|S e\cuSV`pr\U p`bk|SVc|Q. uQ8\tk \ ac|Y_kuSV{|c|S a{` [ka\r8qg` OX8`bU grT` 1S]\U _\r `. XToTc|SVr. ak gXTcu`p{ j{uc|Y SVr. db`pk. X8`b{|SVc|SV`pr { \. a`TqgY_{ed a`. bY. w. w. XTku` 8\ TSVUWSV{uc|S. c|Q Ym{|cuo8q. Y_kcuQTY_`bk. ka\ acuSV`prHqgY a`. 8Y_U]qg{mSV{rTY YeqgYeq. 8Y_U]qg{. \r G\k|Yi\{UVS bYX`pU grT`. dgrgo. aUVS GkuYeqgoTr8q \r. To SWU]qgSVr \kuSVc|Q. X8`bU jr ` 1S]\tUW{`hbY_k. q SW{ ak|Y c|YCUV` g\kuSWcuQ 1{ `hpY_k. xgdTwbwgdTw. 8\t{|S. \. c|`pkuS e\cuSW`br. ÉyÊoËTÌ|ÍS<!fv†!jT`SkojZŒÎoÏÐCŸÑoÒAҀÓ!_. S. XTk|` TUVY Fc|Q\c. |d 8r8q„c|Q Y. c. a` 1XTUVY_cuY. Y"\pq qgk|Y_{u{SV{. \ ac|`bk|S e\cuSV`pr. 1`pr S SVkuk|Yeqgo aS TUVY[X`pU grT` 1S]\U {R\tr8q. uQ8\tSWr. {uY_Y. ZS. } `bX8Y k \cuY_{mSVr. Â. c|Q k|Y_YC{uc \ pY_{. \t{. d QTY_kuY. \k|YGX`p{uSWcuSVhpYmSVrgc|Y.

(27)   

(28)     ! "#$ %'&'(*) +-,.'&+0/'1*)-2'(&34/657%!(89:*(<;=18?>@ ACB 1D5FEGH I34/>@ JDB K 5FE<LLMI31>@ IN5FE A @ ODB /'(&QPR/&'(<; A 2M(S:T,'( IN5FEI B GL'I3 KVU P'WYXZP[>@ (,Y@ \NB &+-2.'&:Y34I B /M1*)-2'(&[3]/'^ 1>>'@ +_:',Y@. L[ ZT. Lœ HšP—ced!f ` ba. €QTY. Ss Z[ 8|. a` 1XTUVY_cuY. [ -u. \ ac|`bk|S e\cuSV`pr. uQ8\tSVr. o 8¦ 8£5¢ T¥Ð£ ¥srŒ 4iZt'io¢_oFio¤r^¢uvov¥Ð 4w kuY_XTU]\F[ Y_{\X`pU8\grT`FT S \tU!]\C\{a^bo8\kuYBs kuY_Y `brTYcuQ8\c[a`prgc \tSVrT{ \tUWU cuQTYCSVk|kuYeqgon[ S9] UWYs\Z[ac|`bk|{`tsRcuQTYG`pkuS9YbSVr8\UX8`bU8\jr `FT1S]\tUwSVc|Q1Ybz X`pr Y_rgc|{mkuYeqgon[ Yeq"cu`"}S« xyx ho <¤ l w4oqlQ£!u4obz‚¤is{! |i4iVr^¢uvov¥Ð l }X¢_oZlT¥!£ {|XTUVSVc|{\ {a^bo8\tk|YBsk|Y_Y X`pU8\grT`FT S \tUSVrgc|` X`pU8\grT`FT S \tUV{wQT`b{|Y SVk|kuYeqgon[ S9] UWYcs\F[acu`pku{m\UVU Q8\ihpYGcuQTYG{ \DT Y[qgYjYpk|Y YS« g~x hoi4€k=-¢ j‚z‚¤ is{Ÿ4  i|iƒrX¢ u4oh¥!  l„}€p¢ oqlq¥!£ s\Z[ac|`bk|{"\X8`bU8\jr `FT1S]\tU wQT`b{|Y"SVkuk|Yeqgo"[aS8]TUVY s\Z[ac|`bk|{ Q8\ihpY"cuQTY g 7h 7ikjml nl poql. _ Ds. DT. jY Fu. {a\ 1YCqgY pk|Y Y. Ds /q tY O‹ †hVhoƒwk€k=¢! 4i$rA 4i4iYrX¢u4oh¥! kl }X¢_oZlT¥!£ F[ 8\ ZT ]\ H[ O[ Ds a^ Bs [ n[ 8] 5s F[ ts 8Y 8\ FT Fw Bz n[ Zu _ w ~ R[ R¬ ¯ n[ [ n[ {]\ w $` }~ ,T Y Dw 1[ Ds $` XY 8\ 8T rq w 8\ Ru ‡“² ‰ˆiRli^³T²Š= l ° ²‹ °|¸)§ ŒŽ q }q $» ¼ w S¾6‘'’ ‰ ‘ 8T RŠ [ 8\ ZT yY » ¼ e½9ž “ Ь!žu F] t] ;['T %T _“/T ;[ 8\ ZT ts !Y •” ] R^ 8\ 8x 8\ tY [ 8\ bz \T ;[ s T ” !Y ts 8\ FT H] /s F[ u v[ FT Bz \vT %T v] ;[ q 1[ •–f‰ OŠ [ Ds T ~–H‰Z”Š v[ ts n[ HY[ ~–HZ‰ ” Š "w 8\ ZT Ds !Y 7—R”u ˆ¤S¥!¦nl8£5¢Ð£o ¢_w˜!¦™t'oh¥_oZlšuvw nw [ Xs 8\ ;[ 8\ FT "[ XY[ RuR§ Dx ›  ” y[ ts T 8\ Y w 8\ FT ts !Y œ” T 8\ FT ts !Y ” ž› ” [ Ds Y[ ] w 8\ FT Ds !Y ” 8\ ZT Ds !Y T Ÿ”u ‰ N›  ‰› \ !T 8T !T {[ Ou Š § w XT fY vs F[ 8| 8Y T \ ;[ 8\ 8\ FT Ds T 8| ts n[ /[ FT 8Y !] \ !T Zw 8T !T ] \ ^ ;[ 9Y T RuS~ 8T [ ] L[ n[ Y

(29) ‰ s )s T Š ] 8Y T Ou _ Bz D] F[ Ds ] €†,_1  FŒv† s n[  €žu r. `. cuY_r. oT{|Yeq. hp\tk|S]\rgc`. cuQTY. 8ku{|c. {|c \ pYGSV{. kuY_XTU]\ aY {n\. a`brgc \SVr. \UVUTc|Q YmSVk|kuYeqgo aS TUVY. { YG{|Q8\tUVU8{uY_YCSVr. SV{. gY ac|SV`pr. \tk pSVr8\tUd QTSVUVY. c|QTYGqgS. a`brT{|S]qgY_ka\cuSW`br. Y k|Y_r. ` #q Y pkuY_Y SVr. |d {|Y_Y. c|`. cuQTYCX`pU grT`. Y_U]q1`bX8Y k \cuSV`pr"Q8\t{ _q. \r. kuY_Y_U. `. SV{. a`b{|c. }. d QTY_r. kuY_{|cuk|S ac. c|Q Y. `p{uc. `poTk. `p{|c. 1SVr8q. SV{n\. `TqgY_k \tc|Y{|S _Ypd. _q. \tr8q. mr. \tU p`pkuSVc|Q. \tk|Y. \"X`pU grT`. { g{|cuY. pY_r Y_k \tU XTo k|X`p{|Y. _d \rq. XToTc|Y kR\tU pY Tka\. gS 1SVU]\k{uc|o8qgSVY_{. a`boTU]q. Y. a`br8qgo. X`pU grT` 1S]\UV{. 1XTcu`pc|S. `bk. {. 8\t{|S. a`p{uc[` \XTku` q o aced \qgSVhgSV{|SV`pr. pd Y. _qg{. YHca\ pY1\t{. X`pU grT`. c|QTY. S \tU` [qgY pkuY_Y. a`p{uc. d \tr8q. \r8q\"X`pU grT` 1S]\U` CqgY bk|Y_Y. Y_rgc \tc|SV`r. { g{|cuY. TZZ d. Z `pk. 1`TqgoTUV`"\. \ acu`pk|S e\tc|SV`pr\U p`bk|SVc|Q. a`. \r8q. 1`TqgY U \t{|{|o 1Y_{cuQ8\cm\. c|QTY. S]\U` CqgY pkuY_Y. \tr8qS 1XTUVY. c|Q8\tc. c|`1}. a`prT{uS]qgY_k1cuQTY. `prTS. X k|Y_{u{|Yeq"\t{ \{. XTUVY TSWc. q Y pkuY_Y. c|Q8\tr. Z. JXTk|S 1Y H\tr8q. S \tU XTk|`Tqgo ac|{\r8q. UVY_{|{. hpY_ku{|SV`pr {edTƒ. 1`TqgY_Up\t{|{|o 1Y_{\tUWU a`. `prTY_{. QT`bUVYn\tr8\U g{|SV{. _\t{|YC\r8\tU j{uY_{ \tk|YmY. ` \{uo >SV{. cu`"X`pU grT`. 8Y_c Y_Y_r. cuQTYGc `. SVcuQ. c|`pkuYeq €QTY. kuY_Y. qgY_XY_r8q Y_rgc. a`prT{uc \trjcu{. c gXTS _\UVU "\XTX UWSVYeq. c|`. ZZ€. \tc. Y. X8`bU jr ` 1S]\tUW{`. d QTY_kuY`pXY_k \tc|SV`prT{\k|YS. c|YeqoT{uSVr. Q8\c. XTUVY 1Y_rgcuYeq. \{uc[Z `poTkuSWY kmc|ka\rT{. `pk. Y TcuY_r8qgYeq\. {|c|ka\ ac. ` c|QTSV{X8\tX8Y_kQ\{. Y_Y_r„XTk|Y_{uY_rgc|Yeq\cc|Q Y. P. ~. `pr. Y k|Y_r. Y. V}ew. uƒ =š¡~¡~¢P—£ ˜†¤—c!¥€š¦A–¥ ZT 8\ ZT Ds !Y •” n[ 8] /w F] t] \ Y v|  ož FY§”fs Z[ tY vw 8Y F] D] \ „ R„^žu Ss F[ 8| FT 8\ FT q Hq 8T 8\ u ª Hx Dw vY ,s tT !w x ] Y Y s "[ %Y \ 8\ ~ O[ u . _. [. k \tr8qg` DX`pU grT` 1S]\Ug` qgY bk|Y_Y. Lw. Y_UVU\{. `poTk. X k|Y_{uY_rgc|Yeq„SVr. „SW{SVk|kuYeqgo aS TUVY. \ ac|`bk|{`pr1\ihbY_k \ pYm\rq. ` [\k \tr8qg` OX`pU grT` \t{. `p{|c. \. ` { bo8\tk|Y. S]\U SVcuQY TX8`brTY_rgc|{kuYeqgo aYiq. {. Q\{ aUV`b{|Ymcu`CUV`. ts. Y. S]\UV{m` [qgY pkuY_Y. `bk SVrT{uc \tr aYmSVr\. bo8\bqgk \tc|S C\tU b`pkuSWcuQ 1{. \{|Yiq. 8Y U q. c|`1X`pU grT` 1S]\U {`. \c|cuY_rgc|SV`pr. ` C\. €QTY k|Ypd. Q\ihpYCSVr. `p{|cu{SVr8qgo aYiq. €QTYXTku` 8\ TSVUWSV{uc|S. dTcuQTY. \tXTXTUVSVYeq. o UWcuSVXTU jSVr c `"X`pU grT`. \t{. 8rTSVc|Y. S \tUgc|`. a`pUVUVY acuSW`br. bk|Ye\tc|U 1{uS 1XTUVS 8Y_{cuQTY. YmY po\UVU HUVS pY_U H\tr8q\UVU8\ihbY_k \ pY. dTc|Q Ynq Y pkuY_YH`. `bkm\. \. pygdew }dew. \. `pk|S bSWr\UTX`pU grT`. YHSVr. ` ƒ mZ. Y. X`pU grT` 1S]\U_kuSVr. X`pU grT` 1S]\U. \ acu`pku{ ` c|QTY. gY. pY_r Y_k \tU c|SV`pr"w. S]\U`hpY_k1\. k \ 1Y `pk. 8rTSVcuY. SVc|QXTku` 8\ TSVUVSWc. SWcuQ1\GQTS pQX k|` \ TSVUVSVc. 8Y_U]qSV{. 8\{uYeq`pr. c|Y r8qgSVr. gd8}. \tU 1`p{ucC{|o k|Y_U

(30) r `prgc|kuSWhgS]\U. bY_rTY_ka\c|SVr. oTr ac|SV`pr {. \tr8q. c|`. _Y_k|`. €QgoT{idpcuQTY c|QTY k. {uSWr poTU]\kuSVc. djw } |dj\tr8q. \ acu`pk|S e\tc|SV`pr. jr ` r

(31) k|Y {|oTUVc|{ \tr8\U g{|SV{H\tk|Y.

(32) 4~

(33) 'V "

(34) |*? _ $. ¸G€QTY/q8ku{|cGXTQ8\t{|Y

(35)   `ts `poTk5s\F[ c|`pkuS8|e\cuSW`br [|Q\SVr"{|ca\kuc|{/wSVc|Q"cuQTYHY UWS8T SWr\c|SV`br`Dsk|Y_XYe\tc|Yeq {|S8T XTUVS qYeqys`pkTO`tsm{a^bo8\kuYBs kuY_Y}s\F[acu`pkuS9|i\c|SV`br qgY {a[akuS9]YeqJSVr ~gYR[ac|SV`pr¬nu €QTY ƒ$`mZ {uc \tYpY kuY_c|o k|rT{"cuQTYewk€k=¢!4   i$rA4  i4i"t=¢!4  o `DsHcuQTY `bk|S8YpSVr8\tUX8`bU8\jr `FT1S]\tUdcuQ8\c SV{ \ X8`bU8\jr `FT1S]\tU SVr wQTS;[uQ Ye\F[uQ SVkuk|Yeqgo"[aS8]TUVYHs\Z[ac|`bkC`DsmcuQTY1`bk|S8YpSVr8\tUX8`bU8\jr `FT1S]\tU \X X8Ye\tk|{ YBz8\F[acuU8\ `brn[aYFu€QTY k|Y!T \SVrTSVrYHs\F[acu`pk|{ `Ds cuQTY `pk|S8YbSWr\U X`pU8\grT`FT S \tU"s `pkTpwQ\c/w Yv[_\UVUc|QTYR£5¥Ð £ zZw#€=¢!4  i$r€|  i4i t=¢! 4ou €QTY_`pkuY!T }v^bo8\rgc|Srq8Y {[cuQTSV{ X k|`[aY_{u{n\tr8q {uQT`Dw{mcuQ8\c oTX"c|` {T \UVUVY_k`pkaqgY_kmcuY_kT {edc|Q YCYBzTX8YR[ac|Yeq[ `p{|cGSV{[q `FT1SVr8\tc|Yeqf]\ \ {|SVrYbUWY Y[_q `Ds c|Q YmX`pU8\grT`FT S \tUS¹ c|` ]Y,s\F[ c|`pkuYeq1\tr8q SWcu{ qgY_kuSVhp\c|SVhbY)¹ db{|`CcuQ8\cSVcSV{§–f‰q” Š`pr1\ihbY_k \tYpYFu€r\ X k|YO[aSV{uY[cuYO[uQTrTS;[_\tU {|Y_rT{uYpdT `p{uc `tsc|QTY5s\F[ c|`pkuS8|e\cuSW`br{[a`p{uck|Y_{uoTUVc|{ s k|`ZT,c|QTYG{|o%]T{|YO^boTY rjcX Q8\{uY_{/‰sGsGZ \tr8q1ƒ s[ZŠ dT{|SVrn[ YCc|QTYGrT`br   {a^bo8\kuYBs kuY_YCX8\tk|cQ8\t{m\ihpY_ka\DYpYCqgYjYpk|Y Yž–f‰ }RŠ!u g 7h. s F[. \ acu`pk|{id\. ¸m€QTY {|YO[ `pr8q.  a[ 8] ~ R[ „ a^ Bs  Ds 8\ FT H] s F[ n[ ¾  à  ÃXÃ^à  “ w  Å s n[ Ds n[ 8] s F[ ts !Y u 1] !T \ ts q yq w 8Y [ FT [ DT 8\œ–H‰Z” FY§DŠ tY Fu !T „ O[ [ ZT Ds jY O‹ ¨  €© ¨ rs  !Y €© '¨ 8\ D] |© w H[ s {] Rz 8T X‹8‹ ! ‹8‹ u %Y ts D] vs FT [ Y L]\ 8\ D] !YF\u 8\ 8] ts Y O[ Y n[ 8] s F[ ts FT 8\ FT ‰ !T ®¬ Šju_ ts /s F[ 8| 1[ FT /w F] t] \ Y Y \ T ;[ 8\v] w „Ç FŒ ŒÇ f‰ jT ŒFŠ!u€ TH] ts jY n[ ST "[ 8] s F[ *[j[ –f‰ RŠ !Y –f‰ FYN”Љ !T FŠju g™x h ¸ " ˆ[ ] Bz F[ 8\ 8\ bz O[ [ [ ZT 8\ T B] Y –fq‰ ” ZYY DЉ  jT{T ¬ !T ,s O[ jT BŠ!u Z[  s F[  Å O[ Bq !T [ DY H] tsq 5q Ou 9\ c[ Ds 8Y Lx Dw R¨ |© €ž }] F] t] \ T u O[ !T HY Bz R[ Lw Bz ;[ "[B\ vq [ \  FT Ds !T %TH]  [ s n[ S[ }] ] 8T 8\ u _ 8T q [ s Dw Ou $` 1w 8Y F] D] \ HT Y 8\ FT -Y[ u ts1[ ž–fq‰ ” Z§Y DŠ T L[ ZT 8\ Dw [ -]\ ¨ 8\  t] |© !YF\ bz O[ H] %YHY [ F$Œ #yu Ds bz R[ „ %# ts 8T [ tY T [ FT Ds ,u"_ [ ZT ] w w [ [ tY [ L[ 5s Z[ Rw ~ R[ %u. x x h. cuQTYGX8`bU jr ` 1S]\tUTc|` cuQTY `. SWkuk|Yeq o aS TUVY. 8rTSVcuY. XTQ8\{uY. Y. \ acu`pk|{G`. €Q Y_`pkuY. uQ8\U |qgY bk|Y_Y 1k|o UWY. X Q8\{uY. \r8q. Ye\tk|U "\ `pk|c. y. px. SVkuk|Yeqgo aS TUVY. S]\tU \. c|`pk. k|oTUVY. SV{. ` 1X UWY c|Y. SV{. XToTca\c|SV`br8\U. QT`b{|Y. { bo8\tk|Y. „`. XTk|`Tqgo. cm`. Y_UVY. XTk|`bX8Y k|c|SVY_{. `poTr8q. c|`. c|QTSVkaqk|Y_{uoTUVc|{. kuY_Y. Y_rgc \tk. a`b{|cidGr8\. {uc|ka\c|Y pSVY_{. a`p{uc|{C\kuY. `prTY. X8\kuc. SV{SVc|{|Y U c|QTY. \{|Yiq"`br. Y_U. c|QTY. Y. ku`. UV`. `pr. ur8\ VhpY "k|oTUVYpdcuQTY. SWr„c|QTY\XTX k|` TS. a`prgcuk|`pUVUVSVr. S]\U €QTY_`bk|Y. \cuY. c|QTY"sGsGZ. {mwC\r8q. SVc|Q"\XTku` 8\ TSVUVSWc ka\r bSVr 1\{. } _d8\tr8qcuQTYGc|`bc \Uq Y pkuY_YCX8\t{|{|Yiq1cu`1ƒsGZSV{. {uY_Y. Y. YY 8\. c|U. \tr8\U g{|Yiq. \ [\rqG€QTY_`bk|Y ,~. \tr8q"SVcu{[Y. grT` r. XY acuYeq. \{. c|Q8\tr. `brTY. €QTY_`bk|Y >x. `p{|c. SW{. a` 1X8\tk \tc|SVhpY_U. ZT`bkYe\ uQHrT`brgc|k|SVh. 8\{uYeq`brXTk|`bX8Y_kuc|SVY_{`. |cuk|SVY_{. 8Y c Y_Y r. 1`bk|Y. UV`. `bkXTkuY aSV{|Y{|ca\c|Y 1Y_rgc|{. Y_rgc X k|` aY_{u{m\ j\tSVr. UW`b{|Ycu`"c|Q8\tcG` mqgS pSVc \tU cuk|Y_Y {. c cuQTYGY_r8q. XTc|`bc|S _\tUWU. Y_k ` RqgY pk|Y YHhp\tUWo Y_{ {uo uQ"c|Q\c. SV{. dbSVc SVrghp`bUWhbY_{\CkuY aoTku{|SVhpYGkuY 8rTY. €Q Y1\r8\tU g{uSW{. a`. SV{. a` 1X8\tk|SV{|`br"` mcuQTk|Y Y. c|`pku{ ` R\Gka\r8q ` 4X`pU grT`. _\tr. UW`. {|X UWSVcu{Cc|QTY. G€QTY_{uY1\r8\tU j{uY_{mSVrghp`bUVhpYGc|QTY^a`bSWrgcmqgSV{uc|k|S To c|SV`pr"` c|Q YHU]\k pY_{uc. \. c|Q SWkaqXTQ8\t{|Y. \tUWUd Y_SVr. G€QTSV{GXTQ8\t{|Y. r"\bqTqgSVc|SV`prdpcuQTYCrgo. aoTk|{. gY ac|SV`pr. d QTY k|Y. {a\ihgSWr p{C` [\ `poTc. \ acu`pk|S e\tc|SV`pr. \ acu`pk`. [€QTY. {. \. {|cuk \cuY. €QTY `pk|Y. k|S 8Yiq

(36) SVr. c|QTYQTS pQTY {|c. XTkuY aSV{|Y. |Ye\tk|U "\ `pk|c. U \tk bY_{|cSVk|k|Yiqgo aS TUVY. ` c|QTSV{mX Q8\{uYpdc|QTY C\tr8q. cuQTY. qgY_{. qgY pkuY_Y. SVc|Q. €Qjo {. c|QTY. \tr8q{uY a`br8q. `pr Y. XTk|`hgS]qgY_{\. X k|`pX`pkuc|SV`pr†}. SW{. SVrgc|`\CXTku`Tqgo ac. c|Q\cGQ8\ihpY. 8Y_U]qg{"\rq†SV{1cuQTY. \ihbY_k \ pY. y. cuQ8\c. \ acu`pkuYeq. wpy oTrqgY_kH\. 8rTSVc|Y. 8Y_U]qg{. TS]\{uYeqXTku` 8\ TSVUWSVc. `TqgY_U. PkuY aSV{|Y. {|ca\cuY 1Y_rgcu{n\tk|Y. \k q SWr\UVSVc. \tr8qY_{uc|S. gdT\r8q. {u`. bSWhbY_rSWrc|Q YrTY TcC{|Y ac|SV`pr {. Y`. \tc|YeqYe\t{|SVU. cuQTY 4SVrghp`bUVhpYrjo. 4{|S. XTUVS Yeq"X S. 1`bk|Y. cuQTYC`brTYCc|Q\cSV{. `p{|cSVrgc|Y_rT{uSVhpY. Y. X k|` \ TSVUVSVc "UVSWcuc|UVY XY acuYeq„c|`. TkuSWr. cuS 1YC\r8q„SVc|{. c|Q8\tr. j\SVrT{. _\{uY. {. g\cuQTY_k|{. c|QTYGoT{uYG`. €QTY. a`gY. €QTYCkuY_{|o UWcu{mSVr. aSVY_rgc|{. X8\kuYeq. c|`. `pkYe\ |Q„{|c|Y X"SV{. 8\t{|S cu`j`bUV{rTY_Yeq Yeq. c|`H\tr8\U g{|Y. c|QTSV{{uY ac|SV`br. Y_c|Q ` q {. . `. rgoTc|Q. {. 8`g`. XTQ8\t{|Y. 8Y.

(37) `br. SVrjhb`pUVhpY {. UV`. \kuY. Y aoTc|Yiq"UVY_{u{mc|Q\r. wT} |d8\tr8q. c|SV`pr1\tk|Y c|QTY. `bk|{uc. _\{uY. Run€ ,[  s n[ \T ;[ Ou ] O^ Bz B[ \T ;[. ka\r8qg` ,X8`bU grT` 1S]\UV{. oTr. hp\kuSW`boT{ aU]\t{|{|Y { ` X8`bU grT` 1S]\U { €QTYG\{ \cuc \tSWr Yeq. Q\XTcuY_k wG`. X8\XY_k. SV{. by ,` RcuQTY. Y_c Y Y_r. ts ZT 9\ ZT T Rw ts 9\ ZT Ou H]\{T ts Y tY /s ƒ !x tT  ] Z%x  €ž ª 8\ |jx  A¬^ž's. aU]\{u{|S _\Ud To cc|QTY "\tk|YCrTY YeqgYeq. `pkcuQTSV{{|Y. GSV{. \ 8`bk|c {|c|ka\cuY. gY ac|SV`pr". XTk|`bX8Y_kuc|SVY_{`. oTr acuSV`prT{SV{c|Q Y_r. 8Y_U]q. SVcuQ

(38) QTS pQ. a`p{uc. |Ye\tk|U. a` 1X8\tk|SV{|`br. cuQTY. 8`bc|Q1Y hp\UVo8\cuYeq. o r ac|SV`brT{ed Y_SVc|QTY_ko rTSVhp\k|S]\tc|Ym`bk o UWcuSVhp\k|S]\tc|Ypd QT`b{|Y. bY_rTY_ka\cuSWr. \tr8\U g{|Y { lGY_rTY_ka\Uk|Y Y_k|Y_r aY_{. {uY acuSW`br. SWr. _\r. XTQ8\{uY1`. c|Q Y. SW{Y. cuQ8\cG` s[sGZ. qgka\ r. ƒ mZ. sGsGZ. `prgc|ku`pU. %u'& ¢¥€œT› ¡™c=–(H˜P™D˜¦˜Ca†£ ;[ 8\ %Y s n[ ;[ O[ ZT Ds [ %Yvs n[ L[ ;[ ] !\ Ss O[ 1† ts Zx- |ž ]\. bY_rTY_ka\cuSWr `. _q €QTY. c|SV`prT{c|Q\c. €QTYCU]\{ucXTQ8\{uYC` ƒsGZ. kuY_U]\cuSW`brT{kuY 8Y acc|Q Y[\U bY Tk \tS qgY a` 1X`p{|SVcuSW`brT{` \tr8\U g{|SV{`. `pUVUV` {. S \tU. w. O[ {Y ,] DsY *) O[ 8Y !] 8\ Ds$[ *+ [ DsY O[ 8\ Ou Bs "[ O[ ¬nu Œ%u DŒs ­  ] T Ou €QTSV{{|Y acuSV`pr. cuY_k|{m\tk|`boTr8q. SV{H\t{. a` 1XTo c \cuSV`pr8\tUWU gd QTY_kuY. \UVU a`. a`b{|c|{. c|oTkuY. \rY TXTUVS aSVcCqgY_XY_r8qgY_r. oTr. {uSVr pUVYX`pU grT`. UW`b{|YCcu`1w. a`b{|cGSV{n\ j\tSWr. `p{|cu{[\tr8q1\ihbY_k \ pY. \. SVc|Q. 8Y_k cuQTY_`bk|Y_cuS. Ye\r { `. cu`{|Y_c. c|QTY. Y_k|UVY p\ 1X. "ZU]\_^a`pUVY_cm\tr8q. qgU. aY_r. c|SV`pr8\tU XTc|`bc|S. {|SVr boTU]\kuSWcuSVY_{. {|c \ pY. { `j` p`. c. V}. `pk{|o T{uY boTY_rgc. |dbc|QTYY TY_k aSV{|Y `pkG\{. XTc|`bc|S.

(39) !.   

(40)     ! "#$. %u Fu Š Dk li^³bŠ#±µ [Š$mtiX³q²!Š$gиŒ§ ] L[ R[ Ds T ;[ w V}. ;[. a[ 8\ FT. YCkuY_{|cuk|S acG`po k[qgSV{. #Y_c. Y[cuQTY. a`bUVUWY ac|SV`pr. n[ 8]. oT{|{uSW`br. ` \UVU 1`brTS SWkuk|Yeq o aS TUVYCX`pU grT`. ] \ Ds n[ 9] Ds !T tx Xs FT

(41)  Y {[ R\ n[ Ds n[ !T Dx bs 9\ ZT y» ¼ u \TH]  ¾ ‰  Š Æ  Bz  T R\ s$] rq }w. !}] t]. \. X k|Y_{u{|Y_{H\tk TSVcuk \k. k|Y_XY_c|SVcuSW`brT{G` c|Q YHSVk|kuYeqgo. \tUVUW` Yeq d#` Y_UVY 1Y_rgcu{Cc \ pY_r. {uS 1SVU]\k. \ gdc|QTY. `prTS { po\k|Y. a}. r. cuQTSV{. #Y_c. k|Y_Y. ku`. c` [qgSV{|cuSVr acY_UVY. X8`bU grT` 1S]\UV{`hpY k. a`brgc|Y Tced. Y. s T \ `pk. /+ “. Q Y_k|Y. SV{c|QTY. \. SVc|{|Y U. "[. Y. rjo. bY_rTY_ka\c|SVr. aSVY_rgc|{. ghgSV`poT{uU gd. Bs. dT\tr8q. c|QTY k|Y. `bk|Y. . a}. %'&()* *SVr"cuQTY. €QTYH{uo T{uc|SVc|oTcuSV`pr. JQ\ihjSVr qgY bk|Y_Y. gS 1SVU]\k|U pdi`brTYGQ8\{. }. TH] tsT. cuQTY1rgo. Y_kC`. [. 9\ ZT. 1`pr S nX8`bU grT` 1S]\UV{. YCQ8\ihbY. Ds !Y. T-« / Œ -uS¬ ož !T u ¬ % -u !¬!žu€ Dx Y ZY %T _“ ZY œ? ¾C1 +‰B Å Š Æ ¾  + “ D Å Ç ” Å2  Š*“ s E+ “ ]\HT Ds !] w ;[ \ +,‰ ZŠŒ¾ 1 ‰ Š ZY  ? Å Ç + “ ¾ ”  ‰ %FŠ  “3D Å Æ. X UWS aSVc. `bk. t{|Y_Y. gdtX. } |dp\tr8qC€Q Y_`pkuY 4w. jw. SVr. dX g. O[. Bs. k|Y Y. }. UV`. \r8q. }. €Q Y[kuY_U]\cuSW`br1SV{c|Q Y_r"{|`bUVhpYeq. `pk. 1Yi\rT{` z. }. X8\tk|cuS. [. w. Å * “GF. 9T. oTU]\ked YGQ8\ihpYGcuQTYGS. `gY TSVoT{SVrghpY k|{|SV`brd QTS uQ. \r8q. [ O^ n[. Å2  F. X8`bk|ca\rgc a`brT{|Y boTY r aY. +“ ¾. _“ _ “3D  œ –IH ” ” J K. Ç. T. rqgY_Yeq dgca\ gSVr mUV` j\kuSVc|Q. \tr8qkuYe\kuk \tr pSVr cuQTYC{|o 1{UWYi\pqg{cu`. r. ;[ B^. `prTS { bo8\kuY. 8\ u. ` [qgY bk|Y_Y”dkuY_{|XY acuSWhbY_U. 9v‰,ZŠL¾ }œ} ? Ç YHrgo Y_kG` SVkuk|Yeqgo"[aS8]TUVYX8`bU9\grT`ZT1S]\UV{id@+ d SV{CqgY_cuY_kT SWr Yeq"S8T XTUVS [ SWcuU8\vs k|`ZT c|Q YH{uYO[a`prq k|Y U \tc|SV`pr “  c|Q8\tcCk|Y_U]\tc|Y_{CSVcGc|`A9v‰BFŠju _

(42) wY_UVU  xgrT`Dwr"X k|`[aY_{u{L]8\t{|Yeq`br cuQTYz `gY!]TSVoT{CSVrghpY_ku{|SV`pr s `bkToTU]\. bSVhpY_{SVcSVrHY. €. r

(43) \. >` [\UVU. \UVU jd. oTr acuSW`br. w. k|Y X8Y_cuSVc|SV`prT{. a`pUVUVY acuSW`br. “32  0 9v‰,ZŠ ¾  ‰ }: * * Š   ¾ 1 ‰ } “ Š  587 Ç “32  0 ¾ ;-“ž<v‰,ZŠ\r8q=9 “ ¾  <“ž>9 ‰,FŠ Y_hp\tUWo\c|YGcu`c|QTYGrgoTH]Y_k `tsT. X`pU grT` 1S]\U {m` [q Y pkuY_Y”d\r8qcu`. `. bY_rTY_ka\cuY_{1cuQTY. SVc|Q. 8Y_k` X8`bU jr ` 1S]\tUW{SVr. 8Y_U]q. `prTS GX`pU grT` 1S]\UV{. ] Yvs n[ +‰,ZŠŒ¾- * * ¾. + “ “ Æ “  %TH] Ds 8\ FT / Y !Y n”u$~ 8T 8\ v‰,ZŠ ¾  ‰  * * Š ¾ 1 ‰ 4  “ Š6587. \tU. c[ + [ ! 8\ ZT Ds !Y“ ª ] 9\ 9 “ ¾ _“ ‰ FŠ TH] Ds ts‰ ZŠ Y bz ;[ 's Y Y q‰ ¬ Š `jY. €QTYCX k|`Tqgo acid SVc|Q. >` [\UVU. k|`. 8`bUVS. \rq. 8rTSVcuY. \tUTS]qgY_rgc|SVc. 9\ ZT 5u n[ w O[  Ds $T ;[ 8\ ZT OuV€ s FT Y [ O[  ts [ 8\ ¾ ‰  Š  Ç. a`pUVUVY acuSV`pr. €QgoT{idg{. vq /q » ¼ u \. `pk. X8`bU grT` 1S]\U. }. €Q Y. €QTY. ¾  Ç  hp\k|S]\t]TUVYpd8\tr8q" !"]Y c|QTYqgY!Ybk|Y_Y`ts# º u $.  . €Q. UWY. Y_rgc|{Cca\ pY r. YGS q Y_rgc|S 8Yeq. XTk|`Tqgo aY_{mcuQTY. ‰ FŠ. w. S. pY_r Y_k \tc|Y_{cuQTY. a}. \ 8`hbYmS]qgY_rgcuSWc. w. XTk|`Tqgo. Ru. }  ¾ }      ÃXÃ^à }. bz Dw 8T w T ;[ B^ ‰ OŠ € [ Y. 8\ FT s T. cu`X8`bU jr ` 1S]\tUW{ `hpY_kG\ S \tU {. UW`. gSVY_U]qg{ }. }. {.

(44) 4~

(45) 'V "

(46) |*? _ $. \ Dw s Z[ \L[ ” Ds 8\ ZT ts !Y V” n[ 8] Fu /w Sq ]\ s H[ ts 9T /q Ru/€ T S] Zx €žh« R |ž ' ¬ €žu ` jY Y HT ] Ds a^ Bs 8\ ZT  “ Z[ 8\ FT ¹ s Z[ 8| ;^ 8\ ‡¹-¾ à w  a^ Bs 8\ ZT ] \ 8\ FT u/‰ ~ n[ 9] Vs Z[ ts¡¹ F[![ Y \ Ds  Bz Ru Ša§ /9v‰,ZŠŒ¾  ‰,FŠ à 9v,‰ Š v‰BFŠL¾ 9 9 ‰,‰,FŠ Š ¾ œ‰?? Ç Bs TH] ts a^ Bs 8\ FT ts !Y n” ˆ» ¼ e½9ž ¾ Æ « ‰„FŠ  “ ¾  __““   ‰q  OŠ rrss”R ” Ç !T fs q 8T - €Œ žu %u  u

(47) l%kDl  i kFÐg ¸¡§ Bz Ds \TH] ;[T Dx v[ ts [  Z[ [ DT ts 9\ ZT *s F[ 9| -u  ] {[ ts$T [ 8\ FT !Y ) DT /u ] Y Yvs n[  ZT  ,‰ Æ D Š ¾  * 0*  . €Q SW{S]qgY_rgc|SVc m{uQT` {c|Q8\tc \. _. {C\r. \t{|S]qgYpdc|Q SW{GkuY_{|oTUVc. Q SW{X`p{|cuQgo 1`boT{. 8`g`. W}i~. Y j\kaqgSVr c|Q Y[rgo. \t{. S. UWY. k|{|c. UW`b{|Ycu`H}. XTk|`hbY_r. g{|Y_YH\tUV{|`. ` TcuQTY X`pU grT` 1S]\UV{T`. "lC\oT{u{. W}b} |dT\r8q. `pk. c|QTY. SV{n\. { bo8\tk|Y. \ ac|`bk|{m`. \. c|`. qgY bk|Y_Y. SV{SVk|kuYeqgo aS TUVY. 8Y_U]qg{. c[\tXTX8Yi\k|YiqSWr. Y. dgYe\ uQ"X8`bU jr ` 1S]\tU. kuY_Y1X`pU grT` 1S]\U \r8q. a`bk qgSVr. _\{uYH` XTkuS. jy. Y_k` { bo8\tk|Y k|Y_YCX`pU grT` 1S]\UV{. d QTY_k|Y. cuQTYCSVk|kuYeqgo. k \ ac|SV`prGhbY_k. \{. c|QTY. SV{C\r. \k TSVc|ka\k. X8\kuSVc 1` c|QTY_SVk. \ ac|`bk|S _Y_{. X`pU grT`. Y TX8`brTY_rgc|{. oTrTS boTY_U. S]\U. Y_X8\ka\cuY. YGc|QgoT{GQ8\ihbY. _d {|`cuQ8\c. }. }. €Q Y_k|Y `pk|YbdTc|Q YCrgo. 8Y k `. { bo8\tk|Y k|Y_Y. X8`bU jr ` 1S]\tU {` RqgY bk|Y_Y. †}. €Q SW{k|Y {|oTUVcm{uY_Y w. {c|`Q8\ihbYn\tXTXYe\kuYeq. . Y. \ ac|Y k|SV{|cuS. X8\tk \. {|` 1Y. `pkcuQTY. rTY_Yeq„Y Tc|Y_r {|SV`prT{. 8k|{ucmc|S. ` c|QTY. X8\ka\ 1Y c|Y_k`br. S. *y. S. . SV{. }. YmSVr. {. `pUVS. Y_c|Y k|{m` X8`bU grT` 1S]\U \ acu`pkuS i\c|SV`br. SWrgcuY pY_k jhp\tUWo Yeq. "SVr. 1Y_cuQT`Tq1SVr"`bk qgY k[cu`1ca\ pY. Y c. €QTY_rdTc|Q Y. YH\. TSVhp\kuS \tc|Y. aU]\t{|{m`. 1`pr S. pY_rTY k \cuSVr. oTr. _\kuYH`. X`pU grT`. uQ8\k. S]\U {idj\tr8q. c|SV`pr. . [ ‡;-“  Å ž  ‰B Æ Š TH] Ds 8\ FT ts !Y ”  w   DT O^ u€ s  DT Y ‰t¹ ŠL¾ ‰t¹"Š   ‰  Š s 8\ 8T ¹ Æ  ºR» ¼ e½ž "[ O[ FT Ds$‰ ZŠY  à 9|  &( * 0*   Bu O[ ^ Ds Y Y FY %T ts q n[ !T D\ X‰T¬ Š Bs 9T rs?\ Y "[ Bz Ou ƒ {Y Y s "[ L[ *s T 9] ts  DT Ru_ tY F] }]\ n[j[ ¯ ts ] $Y Y/s n[ w O[  ‰ t] T x Y DT aŠ ]\ %Y  ¾ Fu %u u/d{g‰ˆ^i ²"Xi ³my'l Š=l °-gA³Ðg ¸ Y}s n[ n[ bz Z[ *s T L[ +  [ Ou T ] FT Y \/‰X¨ FT h©,T [ Bz ¨ Ds T $T h© Š 9T a[ Ds [ *+ [ \T [ Ou Y %YHs "[ )¹B‰ FŠ {] Y E1¾ ! }T Y \u † O^ 9\ {[ + [ %¹ “ ¾ ;<“SžT¹ ‰,ZŠ s \ 8T ts Vs T ¹ “#" _“$ZZ‰ ”Š w 9T /" $Z‰Z”Š"  DF“R¾ ] Bz s F[ *) O[ Ds Y \ E¾ f‰ /s n[  €¬^ž H €ž?Š!u € [ ZT{T [ Bz E‡¾ ! Ds s T Å ‰ŒFŠ ¹ ,‰ FЉ¾ ‰  ?ZŠ&% H ZY 0? J ‰ ('Z‰ RŠŠ H[ *+ [ /]\ VT Hx Dw Y \ 8\ “ €¬^ž ‰ FŠ ¹ “ ¾ ; “ žT¹ ,‰ FЉ¾R “ ” )h% ‰+* ŠÂ ‰ F§Y ”Š Å ‰ ('Z‰ OŠŠ Ç cs ZT

(48) ‰ ŒZŠ L‰ FŠ v]\ s !T O^ 8\ ;[$[ ts ¹B‰ FŠ [ a[ DsL[ Y n[ [ rq ] \ O[ T [ [ Zu{_ Bs \T ;[v[ *+ [ Bz F[ T ] *z  n[. SV{{|o uQ. [. a`gY*+. c|Q8\tc cuQTY. SVcuQ. jX8\tk \. aSVY_rgc. kuY_XTkuY_{|Y_rgcu{[cuQTYmrgo. Y_c|Y kY bo8\U c|`. X k|S 1Y. dtc|QTY_r. c|QTY. XTk|`Tqgo ac. €QTYGc|Y uQTr S boTY. cuQTY_r. oT{uY. oTUSWr. SWhp\tk|S]\cuY. ka\. Y_c|Y_k. {uS. bY_rTY_ka\c|SVr. SWhp\tk|S]\cuY pY rTY_k \tc|SVr. w. `. q Y a`. X8`b{|SVc|SV`brT{`. kuYe\kuk \tr pSVr. oTr ac|SV`pr {. {|c \tr8qT\tk q.  . a`prgca\SVr. \tUWU SWr. k|Y_{uX8Y. `pk. cc|`. [lGY_rTY k \cuSVr. pY rTY_k \tUVS. YmoTr8q Y_k cuQTYc|ka\rT{uU]\c|SV`brk|oTUVY. SVr 8rTSVcuYmXTku` q o ac|{. \cuSV`pr"kuY_U]\c|Yiq

(49) cu`"c|Q Y {|o. Y 1X UW` bYeq. q SW{uc|kuS. aY_{|{uSVhpYqgS. cuQTYhp\kuS \ TUVY. SVr. SV{. oTc|SV`pr. ` [\"X\. Y_kuY_rgc|S]\cuSV`prT{` RcuQTY_{uY. \k jSVr cuQTYX8\tk \. a`brjcuY Tc. €QTY. bY_rTY_ka\cuSWr. Q\ihpY1cuQTY_kuY. u`. {. \tUWUVY_{uc 1`Tqgo UWo {. oTr ac|SV`pr {. \rJSV{|`bU \tc|Yeq. Y {|c|S. \c|YG` c|QTY. kuY 8Y. c|{Gc|QTY. cu`. SV{. r Ye\k. <}. S. {|SVr boTU]\k|SVc 1\tc. Y_c|Y k _db\r8q. G` cuQTY. aSVY_rgc|{. c|QTY. `jY. `pk. k|`. cu`. a`brT{|S]qgY k|Yeq. aSVk. cuQTY_r. QTY_k|Y. aqg`. aSVY_rgcm\t{. c|QTY_SVk. 1XTcu`pcuS. ,}. }. 1Yi\rT{. {. \r8q. { \tc|SV{. {|o Y TX8`brTY_rgc|S]\tU \. }. `jY. SVr8\rgc. aSVY_rgc|{ W}. 1Y_cuQT`Tq. }. gUW`. }. grT` r. |d. \t{{|SVr boTU]\k|SVc 1\tr8\U g{|SV{. oT{|Y oTU \{. a}. Ccuk \r { Y_k c|QTY_`bk|Y. a`prghbY_k bY_r aYpdC\. rT`pcuQTY_k. \cuSV`prT{`br. wpx. r. a`. c|`pk. 1`br. 1`b{|c

(50) \r. c|Q8\tc. \{|Y {ed. `pk. x SV{Y_rT{|o k|Yeq. UWY„`. `pk. a`gY. SVrT{|ca\r aY. UV`. `poTcu{|S]qgY"SVcu{. YC`. }CSV{[\. {|Y Y. x. €Q Y cuk \r {|SVc|SV`pr. SWr. c|QTSV{X8\tX8Y_kG\kuYC{|SVr boTU]\km\c. ,}. }. a`gY. SVr. UVS {|oTX. a}. cuk \trT{|U]\cuY_{SVrgc|`. X8`bk|ca\rgc{|`boTk. `pr {|Y boTY_rgcuU gdc|QTY SWk. _d Q Y_k|Y. ` c|QTY. \tr. \ ac. SVr8\rgcX8`b{|SVc|SVhpY {|SVr po U \tk|SVc. YG{|c|oqgSVYeq. {|SVr boTU]\k|SVc. `bk. r8\cuoTk|Y. \tr1Y TX8\trT{|SV`br. oTr acuSV`prT{CY r a`TqgY1Y. `pk|YbdecuQTY_SVk 8Y Q8\ihgSW`bkrTYi\kcuQTY_SVkqg`. c|QTSV{. \{|Y {. SVr. `pkkuY_U]\cuSWhbY_U. UV` j\tk|SVc|Q 1{`. qgY_hgS]\cuSW`brT{m\kuYG` Tca\SVrTYeq. oTr acuSW`brT{ SVc|Q. w. `. qgY pkuY_Y. <}. SWY rjcu{ ZTo k|c|Q Y_k. SVr. S]\UV{`. XTUVS gS r G{|o |Q„Y TXTk|Y_{u{|SV`pr {. mhbY_k \ pY_{m\tr8q. {uY_c|cuSWr. Y_k` X`pU grT`. SV{ \bqTqgSVc|SVhpYbd 1Ye\trTSVr mcuQ8\c. }. {c|Q8\tc kuY boTSVk|Y\r8\tU jcuS. `pr8qgSVcuSW`brJc|Q8\tc1SV{1hbY_k|S 8Yeq. 1XTcu`pc|S. a`gY. W}. aSVY_rgcCY Tcuk \. c|SV`pr. JSVrT{uX8Y. a`prgcuSWrgo8\tc|SV`pr. c|SV`pr†SVr. 1`b{|c. Y_c|QT`Tq„SV{HsG\k `po. {.

(51)   

(52)     ! "#$. T. ' !¬^ž$w n[ Ss Dw R‹ rs 8\ ;[s n[ ¹ ‰,FŠ bq H[ x" "—  8T [ 8\ ¯ D] v‰  FŠ :" "!¾ [ *+ [ s?\ ‰ FŠ ; “ žT¹‰BFŠL¾ 'Z‰ ” Å Š Ç _ O[ ] z  'T ~ O[ LŒ RY Bz "[ Ds F] s ,Y Yvs n[ [![ Zu %u ¬nu “´ ˆ k  iRli^³T²Š ²‹ °|¸€ /w x Dw y[ \ Ds vq XY q \y‰q” R\ Y q%z  Š 8] ts !Y Ds n[ 8] s Z[ FT 8\ FT ts !Y n”[ Y 8] Ds Y Ds [B\[ FT T ts 8| ”u Y/s "[ $s 8\ ZT cq 5q /» ¼ Ds ZT Y \ 1¾ /w *[ }Y Yvs n[ ,s T ZT Y \ “¾ Zu DT 8\ 1] ;[ O[ ZT  ST Sw  Y q \ ZY YHs n[ Ds FT 8\ FT }[ Y yY Y s n[ s T Ru n[ HY Y}s n[ ts T ;[ 8\ FT Dw T 8| vw L[ Y Ds D] G&(  Y_c|Q ` q. ~gd . q SW{. C}. QT`b{|YCXTkuSVr aSVXTUVYCSV{[\t{. SW{. c|S 1Y {. `bUWUV` { S \r"\r8\tU jcuS. a`brgc|SVrgoT`poT{uU 1qgS. Y_kuY_rgc|S]\. UWY. oTr. c|SV`pr. y `br. . GqgY 8rTYeq„SVr"c|QTY. <}pdgcuQTY_r. SVc|{. a`gY. aUV`p{uYeq. SWY rjcu{{ \tc|SV{. }. kuY a`boTk|{uYc|`msG\k 8`bo. `pk. pY_rTY k \cuSVr. { 1Y_cuQT`TqSV{r Y_YeqgYeq. oTr. c|SV`prT{cuQ8\c`. {uc \ gSVr. Yiq. w. cCSV{. cu`HSVr rTSVc. ka\r8q ` 4X`pU grT`. {|S _Y. qg` 1SVr8\rgc{uSVr poTU]\tk|SVc. qg` 1SVr8\rgc{|SVr boTU]\kuSWc \c. a`prghpY k pY. ` R\tUWU. c|`. QTY_r. bY_rTY_ka\c|SVr. `prTS X`pU grT`. w [. }. oTr ac|SV`pr {. QTSVUVY[\t{|{u`. } ZT`bkX8\tk \. oTr acuSV`prT{. S \tc|Yeq. bY_rTY_ka\c|SVr. SVcuQ1c|Q Y. Yvs n[. SWr {|c \tr aYpdc|Q Y. uQ8\r bYG`. ts. o r ac|SV`br. + H  J ¼ ( . . 8Y U q. hp\tk|S]\. T. \. aUVY_{. \. 8Y_U]q. SWr. `. \{|S. cuY_r. qgY a` 1X`. X`pU grT`. S \tUV{R\tc. pY_rTY k \cuSVr. UWY. oTr acuSV`pr. gdgSV{. Ru~ 9T. ` R\tUWU XY_k oTc \tc|SV`prT{. b`gY_{. \ ac|`bk|{SWr. `bk XY_k o c \cuSV`prT{. `br1c|Q Y. oTr acuSW`brT{` k \tr8qg`. 9 H  J ¾ }} ¾  1 ” -“” Æ “32 Â. Y. 8rTSVc|Y. oTr acuSW`brT{. Y_c|Y k|{c|Q\c`prTU qgY_XY_r8q. `bk[XY_k oTc \tc|SV`prT{ HZ `pk. \UVS _Yeq. SW{cuQTYCY TX`prTY rjcuS]\U pY rTY_k \tc|SVr. ` c|QTY. `bk X`pU grT` 1S]\U { `hbY_k \. b`jY {mc|`SVr rTSVc jd pY_r Y_k \tc|SVr. S]\U {id QTY_r„rT`pk. Bz. Q S uQ. \tc. _\kaqgSVr8\UVSVc. c|Q Ynq Y pkuY_Y_{G` cuQTYCSVk|kuYeqgo aS TUVY. c|`c|Q Y ^a`pSVrgcqgSV{|c|kuS ToTc|SV`br1` cuQTYGUWY r pcuQT{`. lGY_rTY k \cuSVr. Q\ihpY[\. 1Ye\trT{c|Q\c. Td bSWhbY_rGc|QTY Y TSW{uc|Y_r aY` Tr8\tc|oTka\U `po r8qT\kuSVY_{. qgSV{uc|k|S To c|SV`pr`. a`brghpY_k pY_{. Q\ihpY[\. {uSVc|SV`prdgcuQTSV{. gY acuSW`br. Y_UVU grT` rc|Q8\tced\{Gc|QTY. _dgc|Q YR^ `pSVrgc. S]\UT` RqgY bk|Y_Y. ka\r8q ` ,X8Y k oTca\c|SV`brH`. SVr. oTkmcuQTY_k|Y. 8\ Dw. S. SVU \tk|U pd YGQ8\ihpY. } -“  ¾  1  ‰q”  }RŠ ” Æ “32. UVr }. 1 cuQTYYBzTX8`brTY_rgc|S]\U%YpY_rTY k \cuSVrYs oTrn[acuSV`pr `Ds-[B\[aUVS [ XY_kToTca\cuSW`brT{Ou#€QTYk|Y_U]\tc|SV`pr ]Y_cwY_Y_r$9v‰,ZŠ\rq/+*‰,FŠ cuQ8\cYbz X k|Y_{u{|Y_{Gc|Q YCoTrTS;^boTYs\F[ c|`pkuS8|e\cuSW`br1XTku`pXY_k|c\fs `pkX`pU8\grT`ZT1S]\UV{k|Yeq on[aY_{C\{~ ( 5 cu` } ¾ YBzTXATH UVr }} J Æ }. w [ Sx Dw  |ž yY ts T yw ;[ [ R[ w w [ Zs Y Ÿ. Bz ^ R[ FT ts T H[B\[ Ou Bs ;[D‹ F] t] ;[ ts 8\ FT $s F[ 8| jTH] %Y ts5[ Y Ds {[B\[ O[ ZT Ds j\ T 8\ "[  ( uv_ n[ T  !¬^ž F] t] \ ZT 9\ ZT T Ss Z[ ts n[ !Y Y ” ,s F[ È 

(53) ‰ L~ O[ Œcs ST aŠju ¬nu §¦œ$¡)œQ•¢–Pœq˜P• ˜†¤—c'c*¢–cs™S¤k¢F›:–H˜Š—¥•` fq Hs Z[ 8| [ ts 9\ ZT 8T ts Ru€ [ Z[ [| F[ H]\ Y[ }] w '¹ ¹ u-€ »H¼ ‘'’ w 7‘ 9T %TH] -[ w "‘ Dw ;[ 8\ u c[ Y [ 5s ` ,Y 8Y"u u Vq ts 9Y Tp[ R[  L[ \ ts F[ Ds "[ 8] /s F[ DsŒ¹ w $T ;[ \ ST Ds ‘-u $w $s Z[ w  9[ \ Dw D s ‘ Dw 8T Y Ou Ds 9Y T  s Z[ w 8T u z \H[ FT Ds ‘  s T [ ;[ -w R\  -u ЬS¬Ðž %Y \y‰   Š  D ‡¾ ‰ E !Š!u F] [ ZT Hs Z[ 8| + [ O[ 9\ [ $` w 8\ FT =¹!-u 8Y T 's s B^ Bs s Z[ 8| ‰ 'z-u¬nu Œu u ZŒFAŠ « Dw !T H] Dw Dw "[ Ds jY n[ ] \ [ ZT o¯ 8œ \ –f‰ OŠju Bs yw 8\ !Y. Q S uQ. SW{. €QTSV{. `. c|Y r. grT` r. T} cu`Y TXTk|Y {|{mcuQTYCoTr S boTYCqgY a`. pSVhpY {1k|SV{uY. Q8\ihbYH\. c|`. €QTY. \ acu`pk|{. o {|Y. QTS uQ. SVcuQ. TUVSWr c|Q8\tc[`. c|QTY. \XTkuS. "SV{. cuQ8\cH\ `boTr8q. YGrjo. Y. \bqTqg{c|`.  DdgSV{X8Y k. c|QTY. €. . \ ac|`bk|{SVr. `bk 1YiqSVr. rJ`pkaqgY_kc|``. c \SVrc|QTY. cuQTYGSVrTXToTcX`pU grT`.  w |} ž dƒ. . cuQTY"\pqTq SWcuSV`pr8\tU. w. c|QTY. S]\U. ka\r8qg` OX8`bU grT` 1S]\U\bq 1SVcu{. c|`1\X XTk|`g\ uQ. |Q\SVr. ` [\. {|Y Y. _q. 8Y_c Y_Y_r. "`brTY. `pk. "\r8q. SVr. . `pkuY[qgY_ca\SVUV{. SWr\c|SV`br. `pkmƒ mZ. SWr. qgSV{uc|SVr acHq Y pkuY_Y_{. `. SVcu{Ck|Y_XYe\tc|Yeq. SVc|{mqgY_kuSVhp\c|SVhbY. rTY_YeqgYiq"SVr"`bk qgY_kGcu`. a`bX. oTUVc|SVXTUVY`. Y_rgc|SV`prTYiq. \ ac|`bk|{C`. X8`bU grT` 1S]\USV{Cc|QTYY UWS \. S \tU \ acu`pk|S e\tc|SV`pr. aUVYqgY a` 1X`p{|SVcuSW`br"`. gY acuSV`pr. `pk|kuY_{|X`prqgSVr 1XTku` aY_{|{. a`bUVUWY ac|{GSVr. Y_XTcc|QTY`pr Y_{ QT`p{uY oTUVc|SVXTUVS aSVc SV{\. ` cuQTY. mrSWr {|c \tr aYSV{. 8Y_kid8\bqTqgSVc|SV`pr\U a`brjcuk|`bU SV{. 8k|{ucmUVSVrTYC` RcuQTYH\tU b`pkuSWcuQ. o UWcuSVXTUVS aSVc SV{\X` Y_k `. XTk|`bX8Y_kuc|SVY_{. \t{. _Y k|`8dcuQTSV{ SV{m\ uQTSVY_hbYeq. aUVY_{. XTk|`bX8Y_kuc|SVY_{"` HX`pU grT`. `pk|kuY_{|X`prqgSVr. Q `p{|YCqgY k|SVhp\cuSWhbY_{m\kuYGS q Y_rgc|S _\UVU 1y €Q Y €QTY. X8`b{|SVc|SV`pr` X8Y_k oTc \tc|SV`pr { SVrgc|`. XTku` 8\ TSVUWSV{uc|S. \UVU k|Yeqgo aY. \ ac|`bk|S e\cuSV`pr. |Q\k \ ac|Y k|SV{|cuS. SVc|Q. rT`bk. \rq1U]\tk pY. 8k|{ucH{uc|Y_XSWrc|Q Y r. o UCQTY_oTkuSV{|c|S. c|QTYXTku` 8\ TSVUVSWc. Q S uQd `pkU \tk bY. s F[ 1¾ w bz%[ T. \. {|Q8\tX8YkuY_{|Y. XY_k oTc \tc|SV`prT{ `prTrTY ac|SV`pr. cu`. qgYe\tU SWcuQ. SV{. pSVhpY r. SVr. ZS. ` RYi\ uQ"` c|QTYCSVkuk|Yeqgo aS TUVY. €QTY QTSVUVYUV`g`pXG{|cu`pkuY_{SWr. r. gd. Tc|QX` Y_ku{. \. T . c|`pku{G`. d. c|Q Y \ ac|`bk|{ QT`b{|Y. d SVc|QT`boTcY_UVS 1SVr8\tc|SVr c|QTY SWkkuY_X8Y c|SVc|SV`pr { €QTYU]\{|cX8\tk|c` c|QTYm\tU b`pkuSWcuQ SVc|Q1kuY_XY_c|SVc|SV`brT{mY_UVS 1SVr8\tc|Yeq 8€Q Yn\to TSVUWS]\tk. aU]\{u{|S _\tU \. bygdgX 8w. a` 1XTUVY_cuY. \ ac|`bk|S e\cuSV`pr. SVcHSV{. €Q Y_k|YH\tk|YG`pcuQTY_kG\U p`bk|SVc|Q. QT` Y_hpY ked\{. a` 1XTo c \cuSV`pr8\tUY. €QTY_`bk|Y `pk|c. SV{`prTU. }. a`. XToTc \tc|SV`pr. `. TcuQ1k|`g`bc|{ed. dboT{uSWr c|QTYGS]qgY_rgc|SVc {|o. {. SWY rjccu`. `pkcuQTY. 8Y UW` ,{uQT` {ed c|QTY }. J€QTY_kuY. kuY aoTku{|SVhpY U. oTUVU8{ bo8\kuY. k|Y Y. _\tUVU. k|Yeqgo ac|SV`pr` [qgY pk|Y Y. `pkuYpdcuQTY. ƒ. Z. \ ac|`bk|S e\tc|SV`pr. SVc|Q. {|Y Y. SVr8q o aYeq. QT`pUVY"\r8\tU j{uSV{ed\{kuY j\tk qg{.

(54) 4~

(55) 'V "

(56) |*? _ $ %'&'(*) +-,.'&+0GHI34/ 5"%!(89:!(<;=<18>@ 5sE )-,[34/YX]/ k>@ 5FEQ/'^ Y@ P 5FE )-,3 X [>@ A ,'( =8*+P 5FE '^-P§@ P s5 E )-,[3 YX [> (,@ A 2 +#: =-/ 5FE GH I3 3 A ^<%[ > > /=@ &+-2.'&:Y3 [>@ +_:',Y@.         

(57)       

(58)        . Lœ šP—c?f. 8T. ` ša. Ds. €QTYGY_UVS 1SVr8\cuSV`pr. ys F[. `. kuY_XYe\cuYeq. 8Y. T ‰ $` Šju. \ acu`pk|{m\tU p`pkuSVc|Q. ƒ mZ. FT \T ;[ ^¯ O[ }] \ 8Y T [ fs Sq DY FuD§ 8T Ds s Z[ /‰ ` Š 8T 8Y T /s B^ Bs s F[ 8| ‰ ~ Š!u ,´ ²"k :¸ ‰ ;Š  ‚¢Ð£5¤S¥Ð¦ t¥<jm˜!£5¥Ð¦lq¢-j#¥sr¤is{! |i4i™”# lQ£ˆ»H¼Se½ž=¢_w ¢Ÿt5 ‚¥o¢kl$jml oZ˜  !"oh¥ 4iŸwk€k=¢! 4i$rA 4i4i! ‰ ;# Š "$'iƒov¥pov¢<j¤is{Ÿ 4i|i&%¥Zrƒo''i/£5¥!£MzZwk€k=¢! 4i$rA 4i4iVt=¢! 4o ¥sr¢ ‚¢Ð£5¤S¥Ð¦ t¥<jm˜!£5¥Ð¦lT¢<jL¥Zrˆ¤is{Ÿ 4i4i~”(¢_wˆ¢!£ q ` 1SVr8\trgc \{. 1XTcu`pc|S a{idSV{rT`bc \. [. uQT`b{|Y_r„c|QTYGY_UVS 1SVr8\tc|SV`pr. \ acu`pk|S e\tc|SV`pr. Y acuYeq. ` k|Y X8Ye\tc|Yeq. c|Q Y[\U b`pk|SVcuQ. \ ac|`bk|{. ƒ mZ _d\. uQT`b{|Y_r. `pkcuQTY. k|{|c{|ca\ bY. {|S 1XTUVY_k\U b`pk|SVcuQ ,c|Q8\tr. YQ8\ihpYcuQgoT{. cuQTY. o UWU { bo8\kuY. k|Y Y. TZZ. S. † . }. †}. o¤)Ÿ¢<jm'i o*¢po§oFi€£5¤_w ho ¥. SVS. ivŽ|t'i4u4oFi. + ¼Œ¾   Å  +0Å  Å Æ -Å ,  ¢Ð£5¤R¥!£!i.=¢_w + ¼ " !¢_w~E(  ‰0/'/*/?Š"$'i oh¢-l$j*t5 o¥o¢kl$jml„oqlšivw ¥Zr&% ¤i4uo¢-˜ i4Ž4t=¥!£!i€£oZlT¢-j$j ˜VrX¢_w4o01 4 !‰*%‰t¹"Šy¾  Æ " ¹ "¾R”ŠD¾32 }. Pk. 6y—F˜˜¤f. ]. /‰ ;Š H[ ;[ Sw Yfs n[ Ds !Y Ds \TH] ;[,T Ds ~ R[. P\kuc. Y » ¼  ½ž ]\ SWhp\tk|S]\cuY SV{ed. S SV{[\. bY_rTY_ka\c|SVr. aU]\t{|{|S _\tUkuY_{|oTUVc. oTr. 1cuQTYG{. c|SV`pr. `pUVS. ` c|QTY. c|Q8\tc. 1Y_cuQT`Tq`.  a^. ` c|QTY. LT. Ye\r. 9 ,‰ Æ  Š$wSVc|Q. gY ac|SV`pr"w d. \T –f‰q Å D Š!u ‰</*/*/?Š † B^ ?s €Q Y1\{. !Y. Ds. R[. k|Y_{uX8Y acGc|`. . Bs \T. ;[. 8\ ZT. \tr8qcuQTYH\{. `. \{. X‰ „FŠju$_ Ss /‰ ;Š Ds$T ;[ 8\ FT. qgY_k|SVhbYeq. SVr. Bs. Å. 5Ä. H } } Å Å J  -Å , Â. {. `. ;[. c \SVrTYiq. 1XTcu`pc|S Y_{uc|S. \tc|Y. {|Y_cuc|SVr. `bUWUV` {. >}CSVrc|QTYqgY_kuSWhp\tc|SVhpY. s FT {]\ w v‰,ZŠ cuQTY_kuY. w b \rq. a`. k|Y_YCX`pU grT` 1S]\UV{. w p . }. a}. X8\kuYCSVc. a}. SVc|Q. Ds `. Å.   +  Å }œ? -Å ,  }   Å Ç }. ku`. 9\ R‹. {|SVr po U \tk|SVc \r8\tU g{uSW{. }. 'SV{[` Tc \tSVrTYeq. SVS _dTcuQTY. Ç. Bz LY. . cuQTYY TX8\trT{|SV`pr. Vs n[ 9v‰B Æ  FŠ [ FT O‹ 5 5Ä Å ‰ ŠÅ v9 ‰, Æ  ZŠ ¾  4  v‰,ZŠ ‰  Å ŠB‰ ‰ Š Å Å Š Ç Å:,  oTr acuSV`pr. `bkX8\kuc. 1`brTS X8`bU jr ` 1S]\tUW{ SWr. F] ]\ Y ¾ 8T s Dw $]\  Y \ v9 ‰BFŠ à  + Å Å Å Å:, Â. k|Y YX8\kuc[SV{G`. 7 9v‰, Æ Š 7  88 2  ¾ 88 9 ;"ÂD¼ Ds + ¼ n ( Z]. XTc|`bc|S Ghp\UVoTY. `brT{|S]qgY k[cuQTY. { bo8\kuY.  B^. q Y pkuY_Y` cuQTYrT`br { bo8\kuY. Ç. rT`pr { bo8\tk|Y k|Y_YCX\k|c. 9v‰B Æ Š¾  €Q Y. \. YCQ\ihpYC\UVk|Yi\pq. qgY pkuY_Y. Å-5. H w J. _d cuQTY. +Å ¾. %Y{s n[. bY_rTY_ka\cuSWr. . Å . Ds. oTr acuSW`br"`.

(59)   

(60)     ! "#$. q. n[ $[. Y. 8\ ;[. €Q Y SVr 8r SWcuY X k|`Tqgo acSV{ a`prghbY_k bY_rgc \r8q. 9 ,‰ Æ wb FŠQ\{m\ {|S8T. ; “ ž>9 ,‰ Æ wb FŠ. }.  “. x. 8\ [. \r\U gc|S SVrH\GqgSV{ Gc|Q\cXTk|`bX8Y k|U. E ¾<}!gdT\r8q}]\{|SVrYboTU]\kuSWc\1\tr8\U8\g{|SV{id. XTUVYX8`bUWYC\tc.  “.  . H w J. . }. *  * 2“. u. " "—. `prgc \tSWr {. }!. €QgoT{ed. ¾2 ‰ }OŠ Æ. . w [ 9T Bz ] u !T 8T H[ O^ n[ s O[ n[ Ds /'1*)-2'(& [  Fu bz Ds /‰0/'/*/?Š 8T \ 8\ FT 8\/] Hs n[ Ds B^ ?s R\ ts 2 ‰ OŠ DY Fu€ [ [ Ds O[  [ S‰~ ¬  [ OŠ §–f‰ RŠ DY Zu-_ !Y 8x ~ 0Y vs a^ Bs }s F[ 9| \ T ;[ 8\ O^ [ Ru _/[![ Y 8\ $` H[ FT v]\ Ds ,q SY [ u ,´ ²"k Џ

(61)     

(62) "!$#%& (') *'+,

(63) -/. 0' 1+'2345-76,2&48.9'-: ; =<31 + ~” Q S uQ. S. XTUVSVY_{c|Q YCY TX8`brTY_rgc|S]\tU c \SVU `poTrq. €QTY_`bk|Y. }. q oTk|Y €Q Y[Y. r `prT{ po\k|Y {uSVhpY. Z Z. Q8\{. a`prT{uY boTY_r. gc|Y X. CSVr. pSVhbYc|QTY. c|QTY. `pkc|Q Y"k|Y. kuY_Y. } `pr. \ihpY_ka\ bY. \ acu`pkuS i\c|SV`br. `p{|cGqg`. SVr8\cuYeq. oTk|{uSWhbY. {uc|kuo ac|o k|Y. XTUVSWY {c|Q8\tcm\r X`pU grT`. c|`pX UVY_hbY_U8X k|` aYeqgo k|Y SV{. o UWU { bo8\kuY. XTQ8\t{|YGQ8\{m\. Y_{. S. kuY_YGX8\kuc{|ca\ j{` `pkaqgY_k. _\tUWUV{. cuQTYCƒ mZ. S 1X`pk|ca\rgc. X`pr Y_rgc|S]\Uc \SVU` P \tk|c. r1X8\tk|cuS. S \tU U. Q8\ihbY1\{. .>$'?6@4ABC.9+'-/-76D ';"E'F=./2@<3- G<&+,H. ›,IKJML “ " P c!a c'c ¤¢. `. cuQTY. cuQTYGk|Y. oTk. UWcuY_k|r\c|SVhbY{|c|ka\cuY pSVY_{cuQ8\cUVS pY. XTc|`bc|S _\tUWU. 8ku{|c. X k|` aY. oTr acuSW`br. oTU]\kedgcuQTYG`hpY_ka\UVU a`p{uc`. } `br1\ihpY_ka\ pY. c|Q8\tc` SVc|{. ` CcuQTY. 8`boTr8qgYiq. Y boTSVhp\UVY_rgc. a`b{|c|{. a`pkaqgSVr pU gd. q. Ç. › ”. „uON œb¥A–Pœ8•H›:– |™ — P›:–H˜P—Pœ9Q-¢9–PœT˜P• =NRN` O[ DY Ds ,s Z[ 8| H[ n[  jY Ss Z[ 8| Y B^ Bs 8\ FT 8\ FT $w n[ 9] Vs Z[ DT !Y Fu ,T bz Y a^ Bs 8\ FT  s T   à  ^à ÃXà  “ w ' Å n[ ts n[ 8] s F[ ts !Y  "u L] ;[ 9Y T B[ 8] 8Ynu s Dw Ycs F[ /‰  Ь^ž -u !T u ZŠ!u h lnmDi :¸ H¥!  / TSo*Mi t=¥-j ˜!£5¥!¦nlT¢<jŒ½ ¼U  ½¿º » ¼ e½9ž7l w o*Mit5 ‚¥^¤-'uvo%¥Zr-¢<j$j)¦ˆ¥!£*lšu 8l  A 4i‚¤<'ul'kji €QTY{uY a`prq{|ca\ bY`. {uXTUVSVc|c|SVr \{ bo8\kuY q Y pkuY_Y €Q SW{. c|QTY. \ ac|`bk|S e\tc|SV`pr. k|Y YHX`pU grT`. 1Yi\rT{Y. X k|Y_{u{|SVr 1cuQTYG{ bo8\tk|Y. cuQTYCXTku`Tqgo acC` SWkuk|Yeq o aS TUVY \tr8qSVckuY_UVSWY {`pr. c|QTY. uQ8\SVr. SW{ c|QTYmqgSV{uc|SVr ac. S]\UTSVrgc|`X`pU grT`. kuY_YCX`pU grT`. \ acu`pk|{G` q Y pkuY_Y. `bUVUW` SVr. \ ac. {|Y_Y. w. qgY pk|Y Y. S]\UV{ QT`b{|YCSVk|kuYeqgo. SVr. S]\U. m€Q Y. \ ac|`bk|S e\cuSV`pr\r8q. S. SVr1c|Q Y. UWY. SVc SVrghp`bUVhpY_{. \ ac|`bk|{[\tUVU Q8\ihpYCcuQTYC{a\ 1Y. `pk. QTY_k|Y. SV{. 8\t{|S C\tU b`pkuSWcuQ 4SV{CqgY_{ ak|S YeqSVr. |dgX T~T}bdg€QTY_`pkuY >w. ZS. w. py. =¥ !£5¥!¦nlT¢<j‚w•l8£/» ¼ e½žWV =¥_w#i/¤is{Ÿ 4i4i‡¤-l )_lT¤i4w / €QTkuY_YHqgS ¯ Y_k|Y_rgc {|c|`bXTXTSVrYkuoTUVY_{m\kuYL[a`pr {|S]qgY_kuYeq‹ U €QTY ‚p¢ wlšu w4oZ ‚¢posis{-˜YBzTXTUV`pkuY_{[\tUWU cuQTYChp\tUWo Y_{ˆ¾ } ÇXÇ ”"\rq [ `pk|kuY_{|X`prqg{Gc|`c|Q YChpY_ku{|SV`pr YpSVhpY_r SVr c|QTYC\tU9Yb`pkuSWcuQT4SVr ZS8YnuTw%u U €QTY<¢ j r4z‚¤ is{Ÿ4  i|iƒw4oZ ‚p¢ osis{-˜{[a`pr {|SV{|cu{[SVr"{uc|`bXTXTSVrY1cuQTYHsGsGZUW`g`bX wQ Y_r R¾ ” p Td {|SVrn[aY\c c|Q8\tc T `FT1Y rjc c|QTYGk|YjT \SVrTSVrYcs\F[acu`pkSV{Y_SVc|Q Y_kC}G`pkSVk|kuYeqgon[ S9] UWYZu U €QTY i‚¢Ð  jm˜_z‚¢ o¥!4  oYw4oZ ‚p¢ osis{-˜C{|cu`pXT{ c|QTY/T \SVrUV`j`bX1`ts sGsGZ \{{u`g`pr"\{m $YBzn[aY_Yiqg{Gc|QTYHq Y!YpkuY_YC`Ds }. t -j ˜. jT. Ycs F[  u€ [ !T %Y/s F[ S]\ O[ \ n[ 9] c[ Y 9\ L[ ~ ] O[ „u u !\}] Bq s ZT s T !Y Y w Y n[ 8] Vs F[ ts ZT 8\ ZT ;[ w q ~ ] O[ „%u Zu „%u Fu x³gjiOk!³ e-^i ³8²!Š ²=µ'°?lk!± g!iœ‹ ±"k g'²sµRµlnmDi^²nkFgи 8] Ds Y tT Y n[ 8] Ss F[ Ds FT 8\ FT D» ¼ ,T \ F] !T w 8\ FT hq ,q Ou "[ *s T 8] bs [ FT Y a[ FY %T a[ 9\ ZT [ S] w ts T ‡ F€Œ žu € H[ Bz ts 8Y %Y [ tY Fu O[ rq [ 8\ w [ w Y !Y MX0“Y Â9Z ,X0“Y ?Z Ds s F[ Ds FT 8\ FT Ds !Y ” '» ¼ u !T /s Dw H] s FT  €žu ts ,Y !\ Y Ds ts "w 8\ O[ ;[ 8\ \ ts ts 9\ D] v‰ !T{T FŠju cuQTYCk|Y. €Q Y. \SVrTSVr. \ acu`pk. r. `pk|kuY_{|X`prqgSVr "\r8\tU g{uY_{m\kuY. cuQTSV{. kuY j\tk qgSVr. k|{|cSVr. c|QTY. go. _\{uYpdTcuQTYCkuY. _\kuk|SVYeq. c `U \tk bY_{|cGSVk|kuYeqgo aS TUVY. {|Y acuSV`pr. \. \tSWr SWr. `boTcSVr. go T{uY ac|SV`br. c|`pku{m`. \ka\r8qg`. V}. €QTY. a`prgcuY Tc[` c|Q SW{. ` m\. wp. Y_{|{uSWc. 8Y_r Y 8c. SVk|kuYeqgo. k|`. S. SVr `pk. Zu. UWY. \cuSW`brT{. Y\pqTqgkuY_{|{. k \tr8qg` ,X`pU grT`. 8Y U q { Z `pkSVrT{uc \r aYpdbSWr. qgSV{|cuk|S ToTcuSV`prJ` Cc|Q Y. S]\U`hpY k `pk. oTrqgY_k|UVSVY_{. U]\k pY_{uc. \tr GXTku` TUVY. \cuSV`prC`brHcuQTSV{ qgSV{|cuk|S ToTcuSW`brSV{oT{|Y. X8`bU grT` 1S]\UV{c|Q8\tc. _\trTrT`bc. 8Y. jY. qgY pk|Y Y. X8\XY_kid c|QTY {|YXTku`pXY_k|cuSWY {CXTk|`hgS]qgYCSVrT{uS pQgcm`br"c|QTY. k \tr8qg`. `bk|YG{|XY aS. €Q YmXTku`j`. \UVU jd Y. a`prT{uS]qgY_kmcuQTYGc `. k|SVc|cuY_r. X8`bU jr ` 1S]\tU ` [qgY bk|Y_Y. { \tk|Ymr `pc. pSVhpY_r. cuQTYCX8\tX8Y_kid QTSVUWYGcuQTYCk|Y {|oTUVc|{C\tk|YG`prTU. `. cuQTYGYe\kuU. #Y. \Cw. €QTY1{uc \tc|Y. rTY_YeqgYiq"cuY uQTrTS _\UVU 1SVr. d. Y_rgc|{CcuQ8\c. QTY_kuYC\{cuQTY 1\kuYmka\c|Q Y_k UV`br H\rq. `. \ `pkuck|oTUVY. SVr. {|cu`pXTX SWr. U]\k pY_{ucmqgY pkuY_Y_{. "w. oTU QTY_r. T. SWrcuY_k. c|Q YChpY_k. `pUVUV`. a`br8qgSVc|SV`pr. `. Y. {qgYe\UVSVr. w. cuQTYCsGs[Z{uc \ pY z. \ acu`pk|{. \. k|Y_cuYCUV` j\tk|SVc|Q 1{SVr`pk q Y_kc|`qgSV{ _\tk q. { 1`g`pcuQ1`pr Y_{ rc|QTY. \ acu`pk|{ `. S]\UV{ `hpY_k 8rTSVc|Y. ` 1X oTc|SVr CqgSV{. 1rTY. X`pU grT` 1S]\Udg\c|`bXTS Gc|Q\c. m€QTY. SVcuQHX`pU grT`. k|`. c|`pkSV{. W}. \ 1`br mcuQTYSVk|k|Yiqgo aS TUVY. `. \. {. s "[. `pk. cuQTYCqgSV{|cuSWr ac. \k|Y. Dw 8\. `pkuk|` Yeq. rT`pcSVrcuQTYm{uXTSVk|SVc` cuQTYmkuY_{|c U \t{|c{uc|Y_X"` c|QTYH\tr8\U g{|SV{.

(64) 4~

(65) 'V "

(66) |*? _ $ %'&'(*) +-,.'&+LL'I3165"%!(89:!(<;=<18>@ U 1 =Q1Q;!(<:= )<.!1&+-/&+ + %!(89:!(<;=1 8W : 5sE ,+ [31>@ 5FE 1@ 5FEY@ /'(&QPV5FE A 2'(e:T,'( ACB V5FE  ;!(, Y@ JDB KVU P'W§5FE )-,[3  YX >@ ODB U 1 =-2 !(-.'2Q/'1*)p2'(& œ(/ ,+ N5FE M^ KVU P'W@ \NB A 2 +_: V5sE ;!(, =-/ KVU P'W /=@ (,Y@ &+-2.'&:Y3 KVUA W BbKVUFJ W BB BbKVU :'W>@ +_:',Y@. :    -        

(67)    - . R¨]8\t{|S;[. Lœ šP—c

(68) f ` ša. ~. !YF\9© ts. €QTY. ;[ \/] {[ 9] }s n[ [ TH]  FT !Y. {|cuk \cuY. `. :

(69) E-P'W. "[  !Y /s F[ 8|. c|Q YHqgSV{|cuSWr ac |qgY bk|Y_Y. 8Y_Y r. a`prT{uS]qgY_k|Yiq. SWr. q SW{uc|kuS. oTc|SV`pr. o r ac|SV`br"`. U \t{|{uS. \Ugrgo. 8Y k c|QTY_`bk|Y_cuS. [ R^ \. k \tr8qg`. c|Q Y UVSVc|Y_ka\cuoTk|Y SVr"cuY_k. \tk. %%‰  ŠL¾. X`pU grT`. \t{. {m` cuQTY. Šju. sGs[Z. S \tUeSVr. jQ\ihpY. 1XTcu`pcuS Y TXTkuY_{|{uSV`pr. €QTSV{. o r ac|SV`brHcuQ8\cqgY_{. oTr ac|SV`pr. `bk cuQTY. W}iygd}e gd. SV{m\. k|S 8Y { cuQTYmqgSV{|cuk|S ToTcuSW`brC` c|QTYU]\k bY_{|cXTkuS 1Y qgSVhgSV{|`bk` a`brjcuSVrjo `poT{{|`pUVoTcuSV`prG` 8cuQTYqgS. Y_kuY_r aY. ln`poTkaqg`pr. b gd8 bw. % ‰ Љ¾  % ‰   OŠ. {. Q8\t{mqgY_hpY UW`bX8Yiq"\. `pk. pY. ,´ ²"k Џ.  —A}. y. Y_UV` Cd `pkuk|` Yeq SVrHcuQTY. cuk \trT{ `bk. }. RŠ Æ. qgS. Y_k|Y rjcuS]\U. ‰  OŠ Ç ' €ž !w Z[ [ 8T !T Ru  !T S¬ ] Dw D] Dw vs FT  €ž FY \T ;[ 8] Ds w Y !Y X “ Y 9 Z Æ X “ Y ?Z ,s T ts [ 8T jw \Vs n[ Z[![ 8] , Z[ s T Ou'_ x !\  R\ }]\ bz !Y s "[ %I Bq y]\ Iv‰ L Š ¾ 1 È    Ç. kuY 1{w d. ‰ ƒ—. \ka\r8q `. 8ku{|c` Tc \tSVrTYeqC\tr. SVrgc|Y bY_kedp\tr8qGSVcSV{qgY 8rTYiqH\t{ cuQTYoTr S boTY. Y po\c|SV`br. %Tp‰. \U p`bk|SVc|Q. Y !Y ts n[ 8] s F[ ts FT 8\ FT “» ¼  ½ž Fu$† Œ „^žq Z] \T [ Bz vs Ds X0“Y  Z T Ds  lšuŸ¦ˆ¢!£nr9£!uvoqlT¥Ð£u Ss "[  :¬S¬^ž ;[s n[ a[ 8] 8] Ds Y 8T Ds Bq ^ S[ Ds ¯ n[  ¯. gca\c|SV{uc|S a{`prCcuQTYU \tk bY_{|cqgY bk|Y_Y` Tc|QTYSVk|k|Yiqgo aS TUVY \ acu`pku{ ` \tUVk|Ye\bq. 8Y. \ acu`pk|S e\tc|SV`pr. `. ku`. rTY.   . \XTX k|`j\ uQ. SWcu{ed QTY_k|Y. k `pUVYGSV{ X U \ bYeq. c|QTYCY. }. cuQ8\cm\tUV{|`UVYe\pq {c|`UV` _\U UVS 1SVccuQTY_`pkuY 1{ €QTY_`. wb |d bSWhbY cuQTY[\t{. UV` _\U UWS. †}. 1X c|`pcuS qgSV{uc|k|S To c|SV`pr. c|QTYmq Y_rT{|SVc. oTr. ` cuQTYc `. c|SV`prT{\k|Ym\. X`pr Y_rgc|S]\U SVrgc|Y bk \tU. U \tk bY_{|c q Y pkuY_Y_{. oTr ac|SV`pr. aY_{u{|S TUVYmhgS]\. c|QTY SWk. \X U \ aY. ,qgY 8rTYiq. . . "$'i•j‹¢! s{<ivw4o ¤iZ{! |i4i$X “Y 9 Z !¢ ¦ˆ¥!£M{"o''i•l8 € |io¤-'ukl'j irX¢u4oh¥! 4w¥sr¢ˆ o¢!£5¤¥!¦ =t ¥-jm˜!£:¥!¦nlT¢-jD¥Zr. ¤is{Ÿ 4i|i K ” ¥:)-iA y»H¼w€¢poql„w„ŒNi4w. R‰ X “Y 9 Z ¾{ŠL¾. }. Pk. . . ¹. . . ”"!. Q– H UV`Z Y§” J Æ. ‰ Šnl w‡¢7uo¥!£oZl8£'=¥<wNr9£!u4oZlT¥Ð£o*¢po l w‡¤i ŒL£!io¤ ˜no*Miƒl8£ )-i€ 4w#i$#H¢4tjz¢u4iƒl8£oFis{Ÿ o¢-j 1 F  ‰ FŠ ¹ ‰ yŠ ¾ %/   & 1 È  '  )(*  È    (  *  Ç   F &1 € vw Y !Y tY –H‰Z”Š Z] D] \ R^ + D]  w T s Z[ [xT /s "[ 'u$‰ € rq y]\ O[ / Z[ s T [ [ ¹ ‰ Ё¾ %‰   OŠ w % s n[ -u Š Bz !T Dw 8T 8T F rs F }Y 8T [ 8] ts Y w vs Z[ Ou ,´ ²"k -,¸ "$'i o VŒ¥ƒjz¢Ð Z{i4w4o¡¤iZ{! |i4ivwWX “Y Â9Z ¢!£:¤KX “Y Z ¥Zr™o*Mi/¤-l w4oZl8£!uvo!rX¢uvoh¥! 4w ¥sr¢/ ‚¢Ð£5¤S¥Ð¦ V Mi€ |i¹. }. ~. . rJ`pcuQTY_k. `bk qg{idc|Q Y. Y po\UV{ ,SV{ \ `poTc} hbY_k|S 8Yiq. oTr acuSW`br. `prT{uS q Y_k|{. q SWkuY ac. U]\tk pY {|cqgY pkuY_Y"SV{. SVc|Q\. 1`TqgoTU]\tc|SV`pr. \X U \ aYCcuk \r { `bk. _\tU. `pr. \ihbY_k \ pY. oTU]\c|SV`brT{c|Q8\tc. €QTYrTY TcCcuQTY_`pkuY F{uQT` {Cc|Q\cG{|S 1SVU]\kY {|c|S c|QTY^a`bSWrgcqgSV{|cuk|S ToTcuSW`br1` RcuQTYGU]\k bY_{|cc `. ¦nlT¢<jH¥Zr¤iZ{! |i4iV”QlQ£/»Š¼ Xw ¢poql w$r˜. _d \tr8q. cuQTY. \ ac|`bkc|Q8\tcSVrghp`pUVhbY_{cuQTYms. XTk|` 8\. S. }. \tr. \c|Y {CQT`pU]q„S. \ ac|`bk|{. \. †}. j\tX. SWUVSVc "cuQ8\cSVc|{. oTr ac|SV`pr. d SVc|Q SV{CS. 1c|Q YHs. X8`b{|Yeq. hp\UVoTY. [ H] [xT rs. c _\r S. `bkCS. Y \tr. `brTY. =¥ !£5¥. t -j ˜ _z.

(70) Â.   

(71)     ! "#$. ‰ ;Š•rX¥Ð . — ” S. myƒ—. S. . !‰ X “Y 9 Z ¾. . V 'iA 4i .  ‰ Š•l„w1¤i$Œ‰£!io¤ F. ‰ ;Š•rX¥Ð . myƒ—. SVS. . . Â. . . ZŠL¾. Y ?Z —  “. ÆX. . Pk. }. p . . . Â. . . ” !. k˜no*Miƒl8£ )-iA 4w#i Š# ¢vt!j‹¢u4i•lQ£osis{! ‚¢<j S.  ‰ ŠL¾. }. È  '.  & 1. /   &1. %. F. — ” S. Â. . Q– H UV`Z Y” J Æ. D  È Â  . )(*. ( *. « . !‰ X “Y 9 Z ¾ Â!Æ X “Y ?Z ¾ ŠD¾      ” Â Æ  ”! e– H  Z§Y  ” J Æ Â Â V 'iA 4i  ‰ Â Æ Šƒl w¤i ŒL£!io¤ ˜ F F Â È  ' )( *     & 1 ‰ L Š ¾ È   ( Á (  *  Ç ! Â Æ  %/    & F F 1 „%u u/d"Šl=°-gA³g‡²sµ1^i ´ ‹³ gj^i ³šŠ$mDi |‹ ±nk µlnmtiX²"k!³ Zli^³T²Šy¸ T Ds O[  !T „ v^ 1[ ZT ts Y ,s 8Y TXu € ,] rs !T{T $[ Y !Y Ou § vq Vqz FT -u 8Y T ] ;[ R[ rq 8Ynu %u [ ZT v]\ T Ds {[ [ kl8£5¢Ð ˜nt¥TV§iA kl8£{yT  -u ¬¬ t¬¬ ^ž n[ Y w %TH]  [5s n[ Ou x ŠD³?^i ³8²Š5¸ "$'iYrk£u4oZlT¥!£

(72) Z‰ DŠ l w o''i‡£'9¦ 4iA ‡¥Zr/¥!£!ivw•l8£ o*Mi l8£:¢! ˜/ |ist5 4i4w#i€£ov¢poqlq¥!£-¥sr  "$'i rk£u4oZlT¥!£ Z‰ D• Š l w¤i ŒL£!io¤R¢_w ‰ ZŠ  q‰ DL Š ¾ FY  

(73) Z‰ DŠ  Æ ¢Ð£5¤"l„o¡ 4iZt: |ivwki€£obw~o*Mi1£'9¦4i€ ¥Zr t5 ‚¥^¤-'uvošw“£!i4io¤io¤ov¥ u‚¥Ð¦~tosi ¼ T  k˜ lQ£5¢! ˜ t=¥VNiA lQ£{ ƒ \ bz Ds !T w 8\{[ c[ ts B^ Bs  Ds 8\ ZT 9¹ ] O^ 8\ ;[ n[ {]\ ZT ¡¹ Ds !Y ”u Å jY ts 8\ ZT  w  Ds }T Ou  tT  T D s ! Y D s n [ , s Z [ t s ‰ ¹ w ! Y.   u Å  ,´ ²"k Џ

(74) K (   )T"  & M# & (') *+'3 .>&  ›,X0X0L   " Š ”  q‰ DLŠ ¾ FY  

(75) Z‰ DŠ  Æ   ‰  q‰ D]Š ›  e› ' “ }. PRk. UV`. }. . . €QTY. `bk|Y. cSV{. TdgXTku`hjS]qgY {. 8\{uYeq Y. €Q Y. \. SVc|{uY_U. 8ku{|c. `br. bo8\rgc|SVca\c|SVhbY. {u`. cuQTk|Y YCUVY. a` 1X8\tk|SV{|`brH`. \{ a`pkuk|Y_{uX8`br8qgSVr. YHrT`bc \tc|SV`pr. €QTY. 8}. SWcu{. 1Ye\trT{G` c|QTY. U \t{|{uS. j c|Q8\tcUWYi\pqg{cu`SWrgcuk|`Tqgo aSVr c `. rjo. a}ey. k|o UWY {. ` c|Q SW{. {|Y. `pkc|QTYCsGsGZ. c|SV`prd€QTY. \tU p`pkuSVc|Q. c|`c|Q Y[cuQTk|Y YH{uc|k \tc|Y bSVY_{. sGsGZ†\U b`pk|SVcuQ >SVr. a` 1XTo c \cuSV`pr"SVr{|c|Y X†}HSV{Hq `prTY. \SVr1kuY_{|o UWc. c|Q Y[cuQTk|Y YC{|cu`pXTXTSVr. 8Y_k cuQTY_`bk|Y_cuS. VUV`. 8\t{|S. hpY_ku{|SV`pr. SV{C{uX8Y aS 8YeqSVr. \U. 1Y_cuQT`Tq. ZS. w. wT}dX. o r ac|SV`brT{. †}. `Tq. 1c|Q Y[Y. X`pr Y_rgc|S]\Uc \SVUk|Y_{uoTUVc` €QTY_`pkuY O}pd Y[r Y_Yeq. cu`Cc|Q Y[{ bo8\kuY. k|Y Y[X\k|c. cu`HcuQTYC{uc \cuSV{|c|S a{ Y c. SVr8qgo aYiq. qgY_rT`bc|Y.

(76) 1). \Cka\r8qg`. c|QTY1qgY pk|Y Y. €Q Y[X\k \ 1Y_cuY_k. . ` cuQTYmSVrTX oTc X`pU grT` 1S]\U d\r8q. SV{m\UV{|`.  E.> '02,. `. SVrTX oTc. X`pU grT` 1S]\U. c|Q YC{|o. ` c|QTY. a`brT{|S]qgY kmc|Q Y. `p{|c` RsGsGZ. \XTX UWSVYeq. „` qgY bk|Y_Y QTY_r. qgY pkuY_Y_{. `. cuQTY. gcuQ. SVc|Y_ka\c|SV`br. cuQTYHqgSV{uc|SVr ac. '2 3 )(F 2(:.>2;< T2 

(77) M 1+'39 =<:6!#". VUV`. ` c|QTY. \ ac|`bk|{`. \SVr. UV`g`pX. {|ca\kuc|{. SWcuQ"qgY pkuY_Y. }. ¾ }O„ Œ ¾†y Ç w }e Z„ Æ F „  }  1 È  -, YBzTX H  F  1 È  } ½ ½ ¾†Ç y Ç ZŒFŒbp~pybwpwbypx Æ  '+*  ¾  J }i w ½ 9    , F 91M & /]\{|S;[V‰.VŠH8Q\Urs |qgY!YpkuY_Yv‰/DXHŠ$1Ye\kuU8\ | \D]`pkuc/‰ I10/Š  1+'39 =<:632 6y—F˜˜¤f,€Q YL[a`p{ucG`Ds cuQTY ]8\t{|S;[CsGsGZ

(78) SV{ +   +  +  + ! dnwQ Y_k|Y +54 qgY_rT`bc|Y_{CcuQTYL[a`b{|cG`DsUWSVrTY rgoTH]Y_k76 SVr cuQTY1\U8Yb`pk|SVcuQT>`DsmZS9Y wu{ #Y_c +54 ]Yc|Q YYBzTX8YO[ c \cuSV`pr `Ds +54 u€QTYHT Ye\r"rgoTH]Y_kG`Ds ! ¾ –f‰q” UV`FYY”ŠA« cuQgoT{mSVcm{uo + [aY_{Gcu` [a`brT{|S]qgY_k SVkuk|Yeqgo"[aS8]TUVY/s\F[ c|`pku{G`DsŒ¹SV{ –f‰ UV`FY§”Š d{|`1cuQ8\c +.  + + + u F. %$ . ¾. „ ¾ Ç ¬ŒFŒFŒ Ç Æ. `prTU. `boTk {uo T{uY boTY_rgc[\tr8\U g{|Y_{\kuY[\tUWU k|Y_U]\cuSVhpY. }i . y. bx. '&)( .

(79) ÂoÂ. 4~

(80) 'V "

(81) |*? _ $. /^. €QTY cuQTY. ‰ RŠ. ^. \ \ +    Å +. po\rgc|SVc. T Ds !Y Ds {‰ ‰ZDŠF›  Q› Š  w. SV{cuQTYm{uo 4`. R^. bo8\rgc|SVc. n[ s F[. Ds#¹}w. c|Q Y[qgY bk|Y_Y {` c|Q Y[qgSV{|cuSVr ac \ acu`pku{`. SW{Y po\Ucu`. d QTY_kuY. jY. SVc|Q1qgY pk|Y Y. u.  €QTY_rd. ¾.  ÅÆ  Š  wSVcuQ c|QTY {|c|`bXTXTSVrYhp\tUWo YSs `bkc|QTYHsGsGZUV`g`pX-uD§ YGQ8\ihbY ¾ ” s `pkcuQTY ]8\t{|S;[ {|c|ka\cuY!YF\gd ¾ ” p s`pkmcuQTYQ8\tU sqgY!YpkuY_Y1kuoTUVYpd  ¾ T \Rz X  p Æ X

(82) s `bk[cuQTY Ye\kuU9\\D]`pk|c {|c|ka\cuY!YF\gdwQTY_kuY X  d X \tk|Y cuQTYGU]\kYbY_{|cm\tr8q {|YO[ `pr8q U]\kYpY_{ucmqgY!YpkuY_Y `Ds cuQTYCqgSV{|cuSWr"[acSVk|k|Yiqgon[aS8]TUVYs\F[ c|`pku{m`ts c|Q Y[X`pU8\grT`ZT1S]\Uu€QTY a}p}. . !T s Dw s FT bz !T}T Ru 8\ ts /] [ !YZ\ 8\ DT ts 8\ FT Zs F[  8| Ou€ w R[ 8\v] \/] Y Ys n[ Y \ 9\ Ru 8T L‰ ]\ ¯ "[ OŠ 8\ ts w !Y Ou    l :¸ "$'iivŽ|t'i4u4oFio¤ )!¢-j Mi/¥Zr  l8£ o*Mi ‚¢pwlšu w4oZ ‚p¢ osis{-˜•wX¢_oZl w$Œ§ivwS¡¢_w~” ( S „ ”.  “%$  " Ç 6y—F˜˜¤f DT S]\ Bq T Ds !Y Ds n[ Ss Z[ DsŒ¹ w jY   Å !T v]  %$  Ds‰ RŠ  %$ ¾ “Å 2  Šu  Y %Yvs n[ ts Å ]\ ] ;[ O[ FT  4 5 9 Å B‰ Æ DŠ ¾ H : 4 J 5  H   4 : 4 J Ç cuQTY_`bk|Y. `pUVUV` {. ku`. €QTYC\r\U g{|SV{ `. S e\tc|SV`pr {. c|QTYGrTY. cuQTY. ccuQTk|Y YHUVY. 8\{uS. {uc|k \tc|Y. \{. 1`brTU SWrghb`pUVhpY_{\r. cSV{c|QgoT{ qgYi\UVc SWcuQHqgSVk|Y ac|U. €Q Y[Y {|c|S. \c|YG\UV{|`. {|Y k|hpY {. qgS. \bqTqgSVc|SVhbYmX8\tk \. TSVhp\tk|S]\cuY bY_rTY_ka\c|SVr. Y_k|Y_r aY. SVr1c|Q YH\r8\tU j{uSV{ `. Y_c|Y k `. o r ac|SV`brT{\r8q. X`pU grT`. S \tU \ acu`pk. {|SVr boTU]\k|SVc G\r8\tU g{uSW{. c|Q YC`pcuQTY_kc `H{uc|k \tc|Y bSVY_{. }i . €QTYCX8\tk \. Y_c|Y k. SV{. q Y 8rTSVc|SV`br. SVcuQ"SVr8qgSVhgS q o8\UqgY pk|Y Y. \r8q. bY_rTY_ka\cuSWr. SW{id. oTr acuSV`pr1`. cuQTY. cuQTY. {|o. c|Q Y. 8\{uS [q Y a`. `. bz O[. }. qgSV{|c|SVr. c. \ ac|`bk|{`. m€QTY. TSVhp\kuS]\c|Y. 4. ,FÅ. }. }. yY y]\ 7 9 Å ‰B Š 7 9 Å ,‰ Š “ ž‰BFŠ Æ H  B‰ FŠL¾.  “'$  ¾ Æ 7  Æ  J 8 Â Ç  “ Å:,  7  88 2 X] ;[ ‰ ZŠ [ FT ts,‰ ZŠ{]\ FY T ;[ 8 9 9T 8\ ‰BFŠL¾ 9v‰,ZŠ"‰  ‰,ZŠ  ‰BFŠŠ,w €Q Y[Y. ts. Å. ` c|QTY. a}p} SV{. X8`b{|SVc|SV`brT{ed. }. 4. ` c|Q YHqgY bk|Y_Y_{. X8\kuY 1Y_cuY_k.  %$ SV{c|QTY_r. XY acuYeq„hp\UVoTYm`. bSWhbY_r. }. €QTY. 8\{uS "kuY_U]\c|SV`br.  1\rq*\. a`. XToTc \tc|SV`prJ`. JUV` g\k|SVcuQ 1S 1q Y_k|SVhp\cuSVhpY_{. QTY_k|Y. . ,Â. + ‰,  Š 4. 4. \tr8q. . ‰,FЉ¾ . Å:, Â.  4. . ,PÅ. 6. +4. 4 . Ç.  ‰,ZŠSV{\ {|S8T1XTUVYhp\tk|S]\rgc`Ds *+ ‰,ZŠ_dr8\DT Y_U8\. H  J H +*‰,ZŠ   } +‰B Š J Ç   ‰BFŠL¾  €QgoT{id ‰,FŠQ\{SVc|{mqg`ZT1SVr8\trjc {|SVrYpo U \tk|SVc\1\c ‡¾<}!C\r8q rTYi\kc|Q SW{X`pSVrgced  9v‰,ZŠ   ‰BFŠ " ‰ }œ ?ZŠ ! Ç ~ SWr%YpoTU]\kuSVc\ \tr8\U8\g{|SV{c|QTY_r \jSVY_U]qg{“; -“9<ž 9v‰BFŠ!  ‰,ZŠ " 4 _“~” pw4 u § YGrTYBzTcc|o k|r"cu` ‰,ZŠ!u €QTYGY_{|cuS9T \cuY 6 + 4 R ¾  e–H‰Z D ŠY_rgc \tSVUW{idZs `pk/" "  }#"d 4 Å Å  6 + 4 H  J ¾ }  Å ‰,ZŠ Æ Å ‰BFŠL¾ – H  Å D J Æ 4 ,FÅ {u`c|Q8\tc Å  H  J ¾ }4 ‰ } :} FŠ  ‰,FŠ Æ ‰,ZŠŒ¾  H }Å ‰BFŠ  Å B‰ FŠ J Ç -Å ,  €Q Y. s n[.  ‰,ZŠL¾ 4. 6 4. oTr acuSW`br. S. XTU. c|Q8\tc.

(83) ÂF.   

(84)     ! "#$. €Q Y. ]. 8`boTr8qg{. 8\. }G\rq. \r. )q ]\ Å ‰BFŠHT Dx ‰BFŠ !Y }] !\ 5s n[ 9 ,‰ DŠ  ‰,DŠ!u E ¾ SY w 8Y Ou. {a\c|SV{ 8Yeq. [ H] A ]. \tr8\U g{|SV{. \ bY. Yn\tXTXTUVSVYeq. c|`. c|QTY. C}bd ToTcc|Q YC`prTYC\tc. k|Y boTU]\k. 8Y b`pr8q. oTr acuSV`pr. <}GQ8\t{. c|QTYoTrTSVc. w. pk|Yi\c|Y k. 9H  J. %Y. 9T. Y_S pQgc €QTYCkuY_{|oTUVcuSWr Y_{|cuS. H J. . xu. q SW{. FT. €QTY k|YC\kuYmc `Hqg`. Y. \. €QgoT{ed{uSVr poTU]\tk|SVc. Y. SVr8\rgc{uSVr poTU]\tk|SVc|SVY_{ \tc. \cuYpdT\{. G(5}bd. }. ‰ FŠ ! Æ.  u Zq 9\  !T n[ [xT ys "[. ". . }. . 8T •” [ *+ [ \T ;[ ž” “%$ " ‰ !  ! DŠF” ¾. „ ”  u 8\ Ds rs  !Y 9] tsGX Y Â9Z u Dw 8\ w 8| O[ Y %T Ru   l Џ "$'iivŽ|t'i4u4oFio¤ )!¢-j Mi/¥Zr  rX¥! ™o*Mi ¢-j r4z‚¤is{! |i4i“ j i wX¢_oZl w$Œ§ivwS‰¢pw ” ( S „  “%&#(  " RŒ ” Ç 6y—F˜˜¤f § Dw uS€ + [ [ ¯ n[  H¾  '$    %&#( Œ¾  Å  “D  Å 9  Z   Z Y !Y X “Y )q "X “Y — ”  !w w  '&)(  ¾  “3D  Å  “ Å u'€ s   ¾ %u ª  9  Z 9  Z w n[ 1[ H] 8\ ,s Z[ Ds !Y Y 7”   P¾ ‰ X Y  $”   Š"‰ X “ Y Š DT 90\ X “Y ÂZ u “ T Ds   SY }]\ ‰ ZŠ R‰ X “Y Â9Z ¾Š    ” !  Ç   “ ¾ S. XTUVSWY { cuQ8\ccuQTY. c|Q. a`gY. aSVY_rgcSV{\{. XTc|`bc|S cu`. T}i €Qjo {ed 8r8\tUVU gd. T}i . €QTYC\r\U g{|SV{` cuQTYmQ\U |qgY pkuY_YGk|oTUVY. `. 1` Y_hpY kedSWcG`brTU. SW{ k|Y_U]\cuYeq. qgY_XY_r8qg{`br. \tk|Ye\t{. c|`C€Q Y_`pkuY. QTY_kuY1cuQTY1s. q SWkuY acm\tk po 1Y_rgc\XTXTUVSVY_{. } bw. }. }e . wn{|SVr aYGSVcSVrghp`pUVhbY_{c|Q Ynq SW{uc|kuS. S. \tr. oTc|SV`pr. oTr ac|SV`prc|kuSVhjS]\tUWS _Y {[{u`"c|Q\cC\. }. YCrT`. Q8\ihbY. c. Tc|QTY U \tk bY_{|cqgY pkuY_Y. YQ8\ihbY. p . r\ 1Y U. {|SVr. €QgoT{idgc|QTY. Ye\r. hp\UVoTY. a}e . ƒ \ s F[ ‰ ZŠ. "c|QTY. “3D. \TH] ;[T !Y {. `pUVS. . Ds ~ O[. 1Y_cuQT`Tq. a`brT{|S]qgY k[cuQTYqgS. _\tr. 8Y. b Td YQ8\ihbY. `prTU C`brTY. †y. cuQTY_k SV{uY. \ ac|`bk` qgY bk|Y_YGU]\k pY_kc|Q\r. p d. pSVhpY_r. Pk. . “. vY. s w ;[. ` RX`pU grT` 1S]\UV{. ‰ ZŠ. }.  ’. pY_rTY k \cuSVr. oTr. c|SV`pr. }. ` X8`bU jr ` 1S]\tU {. `bk Q S uQ. SV{k|Y_U]\cuYeq. c|`cuQTSV{. p dgc|QTY. cuQ. `jY. }. aSVY_rgcm`. 4. bSVhpY_{. €QTYYe\tk|U. X\k \tUVUWY U SVc|Q. !. pY_rTY k \cuSVr. SW{` Tc \tSVrTYeq. a}. Q S uQ"Y rjca\SVUV{[Pk. a}. oTr. c|SV`pr. }. PRk. w [. SV{. _}. \tr8qcuQTYCXTku` 8\ TSVUVSWc Pk. §†QTY r. o r ac|SV`br. ts 8\ ZT. R‰ X “Y 9 Z ¾ Š ¾+ Å  Å " !$}s ”    — ”u YFY Y 8T  . Y  “ " ” u ¾  “%$    “ "  ” u  “'&)( 8\  t] !YF\ y] }T R[ ;[ $w R\u nw 9\ ts !Y ,s Z[ YvY y]\­ D]]   €žu   l Џ "$'iivŽ|t'i4u4oFio¤ )!¢-j Mi/¥Zr  l8£ o*Mini‚¢Ð jm˜_z‚¢o¥! 4oŒ k j i™wX¢_oZl w$Œ§ivw)S¢_w~” ( S. €QgoT{idgc|QTY a}. pY_rTY k \cuSVr. 5Ä ‰,FЉ¾  ’ H  Ç Å2   Å J VY Yvs n[ Ds 8\ FT s w [ DX “Y ÂZ ¾  ’  ’ ‰,FЉ¾  ’ ‰,ZŠ   ’   ,‰ FЉ¾  ’ ,‰ ZŠ  ‰  Š 5 Æ F] t] \ R‰ X0“Y Â9Z ¾Š SY Yvs n[ y]\ !‰ X “Y Â9Z ¾ LŠ ¾  “ ; “ ž  Å B‰ FŠ Ç   ”  •” [ + [ Ds  Å ,‰ ZŠ Z] fs ZT 4  Å ‰,FŠD¾.9v‰,ZŠ   ‰ : Å BŠ 5 Ä   ‰  6Š 5¡¾.9v,‰ ZŠ  + Å Å e–H‰B “  Š  . a}ew. ‰ A¬Š. wTd cuQTY. YHs n[. QTS |Q\UVU. SV{. Y ac|SV`br. Y_kuY_r aY. `pk. \ acu`pk|{Q\ihpYCqgY bk|Y_Y"—. `. SV{. Å. aY {[cu`. {a\cuSW{ 8Y_{. Yc|QTY_kuY. `. {|o. }. Å. `bk. k|`. a}. p . CPUVo. bSVr 1cuQTSV{mY_{uc|S. \tc|YCSVrgc|`. €QgoT{. \ 8`bk|c. {|c|ka\cuY. cuQTYC\r8\tU g{uSW{`. rTY_Yeq {Cc|` SVrgc|Y bY_k. YHQ8\tr8qgUVYeq„SVr. \ ac|`bk|SVr. \. 1`pkuYCc|Y |Q rTS _\U \. pSVhpY_r. ' *  "

(85)  “ +. rgoTc|Q. ”. Æ. \tr8q€ka\. }e . 9x Y. m€QTY k|YSV{C\1{uc|kuS gSVr. |P\kaqg`. wp .

(86) Â. 4~

(87) 'V "

(88) |*? _ $. . V Mi€ |i. ‰ O„ZŠ. ¾ }i„ . a}. }. 1 È. w. . Bz H . 6y—F˜˜¤fX‰0/?Š  j {<i A  o¢:'_ D] Ow /]\. X. \tr8q. !Y. n[. ¯. cuQTYCqgS. Y k|Y_r. Ds Dw D]. SV{rT` Y. R[. \ `pk|cuYeq. Y. rTY_Yeq. ¾. YmQ\ihpY.  . . J. .  %$ . ½. . ½ † ¾ Ç y Ç FŒFŒbp~bypwpwbypx Ç.  . \ ac|`bk `. '. .  . \c|Y. X. “ ". †y. . \r8q. ¾ . *. {|Y_c. p . Á D

(89)  (.  (. 8T. "[ 8] $s Z[ tsF¹ sP¹ n[ 8] OŠ!u , u † Å  Å Å. cuQTYqgY pkuY_Y` 8cuQTY U]\tk pY {|cSVkuk|Yeqgo aS TUVY \ ac|`bk`.  b  Š=X  SrsX  p . . . \. Ye\r hp\UVoTYY {|c|S. X. 9.  ½ }. ,] \KX  !Y Ds Y n[ 8] ,s Z[ tFs ¹y‰ X ¾ ¾ T Rz  X    Æ X

Références

Documents relatifs

Structure of the paper. In Section 2, we explain the setting of our pa- per: finite-precision complete discrete-valuation fields, and analyze the Gaussian row-echelon algorithm

For this representation, von zur Gathen, Kaltofen, and Shoup proposed several efficient algo- rithms for the irreducible factorization of a polynomial f of degree d

Faster polynomial multiplication over finite fields using cyclotomic coefficient rings..

It is also possible to give variants of the new multiplication algorithms in which Bluestein’s transform is replaced by a different method for converting DFTs to convolutions, such

Pollard did not analyze the asymptotic complexity of his method, but it can be shown that its recursive use for the arithmetic

U NIVARIATE INTERPOLATION USING CYCLIC EXTENSIONS One general approach for sparse interpolation of univariate polynomials over gen- eral base fields K was initiated by Garg and

We have also sketched families of higher genus hyperelliptic curves whose deterministic algebraic parameterization is based on solvable polynomials of higher degree arising from

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