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Caderno Calculo Numerico

Caderno de Exercícios de Cálculo Numérico Para a POLI -- 2005

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FE<=> [email protected]<=> FE E]EDGƒ„ [email protected]<… n>HEk=B FE [email protected]@=B< >[=BD>@<…GBk=>k=B †[E >< G‡[email protected]>< H [email protected]=>< E [email protected]<[email protected][ƒF>< [email protected] †[E B =ƒ=[?B E > F>=> F> C[[email protected]>‚RB FEQEH GBk<=>D k> G‡[email protected]> E =>HT\H FEQE GBk<=>D †[E > G‡[email protected]> [email protected] [email protected]=> GBH > [email protected]< G‡[email protected]> B[ > DECDBF[‚RB DE†[ED B C>n>HEk=B FE =>]>< E‹B[ > [email protected]<C> Œ Ž  Œ ‘[[email protected]@F [email protected]?HEk=E [email protected] CE?B ’DBAY “?E]>kFDE ‘[email protected]@k ”BH>Y lBBDFEk>‚RB [email protected][email protected]>? Œ ;†[@CE FB G[D FB zu{|}a~Y U˜ [email protected]‚RB FE [<<@>k>Y M˜ [email protected]‚RB FE >nB<=B FE UVVUY lBkˆ[k=B FE š[[email protected]>Y [email protected]‚RB FE ›˜ H>D‚B FE UVVqY ‘[[email protected]@FY lDƒ[email protected]>< PGBk<=D[[email protected]>< E CBFEH [email protected]>F>< >B HEk=E C>D> B ’DBAY l?>[[email protected] @DBA[HE “<>kB PžŸž ¡¢£¤¥¦§Ÿ¨¦©ªXY Z CD«[email protected] F>FB CBD EDDB EkGBk=D>FB >@kF> kRB [email protected] ‰]>FB PFE?E > @n[>?F>FE ›            UYM ➠ >FB B @k=EDQ>?B   … HB<=DE †[E kB u  dbib if rjwbdbtjf B k  HEDB FE @=ED>‚œE<… … C>D> †[E !    " N… FEQE <>[email protected]SED $% &'  () N *  # $%   + UY› ➠“ E†[>‚RB  ,-.   / CB<<[@ [H  [email protected] SEDB DE>? ! EH 0  /  1 )2 Y ’DBQE †[E ¥3 £Ÿ4 ¥ 5 6 0 … 5 7 ! =>? †[E > ,-.      GBkQEDnE C>D> ! Y UY9 “ E†[>‚RB: ;   / <  / CB<<[@ [H  [email protected] SEDB DE>? ! EH /  + Y ’DBQE †[E ¥ 3 £Ÿ 4 ¥ 5 6 0 … 5 7 ! =>? †[E >   / <  : GBkQEDnE C>D> ! Y UY= “ E†[>‚RB >?   / CB<<[@ [H  [email protected] SEDB DE>? ! EH 0  / <  + Y ’DBQE †[E > 5 6 0 …    > [email protected] GBkQEDnE C>D> ! … A §ž BA §¥ª A §¥ Ÿ¥C ž 5 6 0 Y UYD ➠ >F> > A[k‚RB E '(  F ; G   CEFE„X [email protected] [H @k=EDQ>?B 0 †[E > [email protected]@D> D>@S ! CB<@[email protected]> FE E ' (  / Y H §Ÿ 4 £I A §¥Y PTX E > A[k‚RB J ' ( FB u dbib i` K `edbhY PGX E [H> >CDB]@H>‚RB @[email protected]@>? 5 7 ! … =>? †[E ><D †[E > FE‰[email protected]> CBD    J ' ( GBH J F>F> EH PTX… [email protected]ˆ> C>D> ! Y H §Ÿ4 £I A §¥Y UYW P>X LEˆ> ! 6 M E J N M O M GBk=ƒk[> GBH [email protected]>F> GBk=ƒk[><>[email protected]SEkFB J '! (  ! Y L Eˆ> 5 6 M E GBk<@FEDE >  J ' ( … C>D> + …  …   Y ‘B<=DE †[E  D> =BFB  6 M … Ek=RB   !  Q R 5  ! Y PTX LEˆ> J '(  ,-. ' )G( …  6 MYQ‘B<=DE †[E E]@<=E ! 6 M =>? †[E J '! (  ! E [email protected] V [H S 6 T =>? †[E U  ! +/ … BkFE 5  / …   J ' ( …  +…  …   Y UYq ➠“ A[k‚RB E '(  > ?  > F …  6 M … CB<<[@ E]>=>HEk=E F[>< D>ƒSE< DE>@<Œ !  6 / / + + E ! : 6 2  W Y lBk<@FEDE >< A[k‚œE< J  '(  >? F E J : '(  $%  ; G Y XY · Z µ » , ¾¼ÇÈ· ¼¾º [ · º¼·½¼µ , åÁ · É, Á ¾· É ½¼ ¶·¸Æ¼½å \ ¸¶À , »· ç ] ÐÔÖÔ ÖØ ^ Ø_ ÐÔÒË ì í ìø ñ õì e bcìd fcðîb gahðîbõ b P>X J  CBFE F> C>D> >CDB]@H>D !  CE?B u dbib ifi x s _bj jtfkl`i agw`iijm fi GBH n>D>[email protected]> FE GBkQEDn«[email protected]> n ; J : n H §Ÿ4 £I A §¥Y PTX J  CBFE F> C>D> >CDB]@H>D ! : CE?B u dbib ifi x s _bj jtfkl`i agw`iijm fi GBH n>D>[email protected]> FE GBkQEDn«[email protected]> n ; J : n H §Ÿ4 £I A §¥Y UYV  E„D B u dbib i` K `edbh C>D> >CDB]@H>D [H> D>@S ! FE 9 ` ab cbd c E '(  F ; G  G  : ; + P>X ; [H 5 7 ! [email protected]=EHEk=E FE HBFB > n>D>[email protected] GBkQEDn«[email protected]>Y H §Ÿ4 £I A §¥Y PTX o>‚> M @=ED>‚œEF> [H> F>< AD>T>@]B GBH [H> F>< ?=EDk>[email protected]><… FE ABDH> > =BDkŠ„?>< QEDF>[email protected]> F> >‰DH>‚RB [email protected]>Y [email protected] JP '( p / q  6 M Y [email protected]@X / " JP '( " +)2 q  6 M Y [email protected]@@X JP '( " / q  6 M Y P>X LE J \ [H> A[k‚RB GBk=ƒk[> EH M… /GBH [email protected]>F> GBk=ƒk[>… =>? †[E J ' +/ (  +/ E YYYYYYYYYYYYYYYYYY Ek=RB > 5 7 …   J ' ( …  + …  …    B EH =BDkB FE !  +/ Y PTX LE J \ [H> A[k‚RB GBk=ƒk[> EH M"… GBH [email protected]>F> GBk=ƒk[>… =>? †[E J ' +/ (  +/ E YYYYYYYYYYYYYYYYYY Ek=RB > 5 +/ …   J ' ( …  +…  …    [email protected] Œ 5 "   "    "  "    " +/  PGX LE J \ [H> A[k‚RB GBk=ƒk[> EH M … GBH/ [email protected]>F> GBk=ƒk[>… =>? †[E J ' +/ (  +/ E YYYYYYYYYYYYYYYYYY Ek=RB > 5 p + …   J ' ( …  + …  …    <>[email protected]S  p +/ q 6 T Y UYUU  [email protected] B Q>?BD k[H\[email protected] FE +)G >=D>Q\< FB u dbib ifi x s _bj jtfkl`i agw`iijm fi D [email protected]@<œE< [[email protected][email protected]>kFB J ' (  '  G( Y UYUM ‘B<=DE †[E B CDBGE<[email protected] FE‰[email protected] CBD     J ' (   kRB GBkQEDnE C>D> r  … kFB B u dbib ifi x s _bj jtfkl`i agw`iijm fi [email protected] t  u  ; v  ; r  ; w w w š[<[email protected]‰†[E B †[E ABD kEGE<<Š[email protected] C>D> n>D>[email protected] GBkQEDn«[email protected]>Y êëìíîïîðñò òñóíì ôìíñò õì ö÷øùúìò UYU9 ➠ P>X “[email protected]†[E B u dbib i` K `edbh C>D> > A[k‚RB = PD>@S !  / XY y [>? \ B GBHCBD=>HEk=B F>< @=ED>F><  n ;?>< GBkQEDnEH n PTX o>‚> B HEX… H>< GBH E ' (  x r  # /  r   Q / r / E ' (  x zr :  #  z :  Q / UYU= P>X Z u dbib i` K `edbh CBFE FB C>D> A[k‚œE< FE [H> Q>[email protected]ŠQE? GBHC?E]> > Q>?BDE< GBHC?E]B< E '{ ( P{  ; |} …  E } DE>@D B [[email protected]=H\[email protected]> GBHC?E]>… HB<=DE †[E ~  ƒ ; „ …        ‚   ƒ : ; … :   €     }  „ ƒ  ‚  …     }  ƒ : ; … : E '{  (   ; |„ E P '{  (  ƒ ; |…  ‚  K GBH E FEGBHCB<@‚RB EH C>D=E DE>? E @H>[email protected]Š[email protected]>Y PTX s D> G>?G[?>D [H SEDB FE † '{ (  { V  G { F ;  / { : ; 22 { ; W2 ?BG>[email protected]>FB CED=B FE { 5   W ; 2 W| Y UYUD s D> >CDB]@H>D [H SEDB FE E ' (  '> :?  +/  ( ' : ; +(  š[<[email protected]‰†[E =[FB †[E ABD kEGE<<Š[email protected] C>D> n>D>[email protected] GBkQEDn«[email protected]> E… > ‚> › @=ED>‚œED> >CDB]@H>D [H SEDB FE E ' (  > V ?‡ ˆ ? ' F  + 2W : ; G  2 GW(  š[<[email protected]‰†[E =[FB †[E ABD kEGE<<Š[email protected] C>D> n>D>[email protected] GBkQEDn«[email protected]> E… > ‚> › @=ED>‚œE F>< A[k‚œE< >T>@]B CBFE F> C>D> >CDB]@H>D r  CE?B H\=BFB @=ED>[email protected] > C>[email protected] FE Go[=E< @[email protected]@>@< [email protected]=E< FE  GBH n>D>[email protected]> FE GBkQEDn«[email protected]>Y P>X J ' (  ,-. ' )  ;  ( Y ì í ìø ñ õì e bcìd fcðîb gahðîbõ b D ` ab cbd c PTX J '(  : ;    Y UYUV “ A[k‚RB E '(  F  : ;   ‰ ><<[HE B Q>?BD 2 k[H CBk=B ! 6 M Y s <>kFB B u dbib i` K `edbh >CDB]@HE ! Y š[<[email protected]‰†[E B †[E ABD kEGE<<Š[email protected] C>D> n>D>[email protected] GBkQEDn«[email protected]>Y UYM™ LEˆ> 5 6 M E GBk<@FEDE > Š  J 'Š( … ‹  +…  … QG …   … BkFE J \ [H> A[k‚RB FE‰[email protected]> EH M … GBk=ƒk[> E [email protected]@ŠQE?… <>[email protected]SEkFB  +)  JP '( " / … GBH [H CBk=B ‰]B ! 6 M Y ‘B<=DE †[E X Š " ! … D… E Š p ! DY PTX “ Š [email protected] Œ 5 "    "  :   : "  :  "    " ! "    "  :   "  :   "    "   PL[nE<=RBŒ KEBDEH> FB Œ>?BD ‘\[email protected] UYM U ➠ >F> E ' (  $% '( ;   2 … CEFE„X ‘B<=DE †[E E =EH [H  [email protected] SEDB EH 0    2 Y PTX lBk<@FED>kFB B CDBGE<[email protected]     ;  E ' ( [email protected] [H @k=EDQ>?B C>D>  FE ABDH> †[E B CDBGE<… =BH>kFB„@< CD‡]@HB F> D>@SY PGX s [email protected][email protected]>kFB PTX GBH    + E =BH>kFB„?G[?E › @=ED>‚œE< E [email protected]@=E B EDDB FE =D[kG>HEk=B [email protected] k> G @=ED>‚RBY PFX l>?G[?E > D>@S DE>? FE E [[email protected][email protected]>kFB B u dbib i` K `edbh GBH EDDB @[email protected] > ™Y™ ™U P¨ª¥  £Ÿ‘ ¡ ¨ª’“I3 ž ” žXY UYM M ’>D> B< @=Ek< >T>@]B DE >‰DH>‚RB [email protected]=> \ m `_ifi`j_f B[ cfyi f… C §Ÿ4 £I ž  ” ¡ >=D>Q\< FE [H> CDBQ> B[ GBk=D>„E]EHC?BŒ P>X LEˆ> E/ '( GBk=ƒk[> k[H @k=EDQ>?B 0 GBH [H  [email protected] SEDB ! 6 0 Y LE S Q E P '( … S p … C>D> =BFB  6 0 … Ek=RB B EDDB FE =D[kG>HEk=B }  ! \ [email protected]@=>FB CBD }  !  Q E '} (  q 0 S  }6  PTX LEˆ> J GBk=ƒk[> GBH [email protected]>F> GBk=ƒk[> kB @k=EDQ>?B 0     E ! B CE<>D FE  [email protected] C>D> ! … k[kG> >[email protected]@DEHB< > D>@S k[H k HEDB ‰[email protected]=B FE C>< E B CDBGE<D> >?n[H CBk=B ‰]B FE J Y PEX LEˆ> J GBk=ƒk[> E [email protected]@ŠQE? kB @k=EDQ>?B 0 E ! B ?BY KBH>kFB„[email protected] FE‰[email protected] CBD   J ' ( GBkQEDnE C>D> ! Y PAX /LEˆ> ! 6    B  [email protected] SEDB F> A[k‚RB E '( … GBk=ƒk[> EH    Y LE E '( w E ' ( " Ek=RB [[email protected][email protected]>kFB >CEk>< B –`b_`tf i` — by˜ fhb CBFEHB< BT=ED B E]=DEHB FB @k=EDQ>?B H>@< CD‡]@HB F> D>@SY PnX qLEˆ> J GBk=ƒk[> E [email protected]@ŠQE? EH M E ! B [email protected] FE‰[email protected] CBD   J ' ( GBkQEDnEY PoX LE J \ [H> A[k‚RB GBk=ƒk[> EH M … GBH [email protected]>F> GBk=ƒk[>… =>? †[E J '2(  2 E JP '( p / … q  6 M … Ek=RB > 5 p 2 …    J ' ( …  + …  …    <>[email protected]S  p 2 … q  6 T Y [email protected] /LE"J \ [H>" A[k‚RBq GBk=ƒk[> EH M … GBH [email protected]>F> GBk=ƒk[>… =>? †[E J '/ (  / E JP ' ( +)G …  6 M Ek=RB > 5    E    J ' ( …  + …  …    \ E<[email protected]=>HEk=E GDEF> > A[k‚RB E ' (  > ?   … B CDBGE<[email protected] 5  +…    J ' (  > [email protected] … GBkQEDnE C>D> >  [email protected]> D>@S FE E '( Y UYM›  >F> > A[k‚RB E '(  >?   … P>X ?BG>[email protected] > D>@S ! FE E … [email protected]@=>kFB [H @k=EDQ>?B 0     =>? †[E ! >  [email protected]> D>@S EH 0 Y H §Ÿ4 £I A §¥¦ PTX ; J '( FB u dbib i` K `edbh C>D> [email protected]>D B SEDB FE E ' ( Y PGX ; [H> >CDB]@H>‚RB @[email protected]@>? 5 7 ! =>? †[E ><D > GBkQEDn«[email protected]> F> [email protected]> CE?B CDBGE<[email protected] FE‰[email protected] CBD    J ' ( … GBH J '( F>F> EH PTX… C>D> D>@S ! FE E ' ( … @F> EH 0 kB @=EH P>XY H §Ÿ4 £I A §¥ > E [email protected]=>Y PFX o >‚> M @=ED>‚œE< FB CDBGE<HEk=B !  : Y UYM9 ‘B<=DE †[E < EH 0     Y [email protected]@X ! 6 0 \ [H CBk=B ‰]B FE J [email protected] Y J '! (  ! XY [email protected]@@X ‹  ™ š› ?œ JP '(  " +ž [email protected] 5 6 0 E    J ' ( 6 0 C>D> |  / … +…    Ek=RB P>X !    Q + ‹ ‹     Y q ì í ìø ñ õì e bcìd fcðîb gahðîbõ b PTX LE /+ "" JP ' ( "" / C>D> =BFB  6 0 Ek=RB > GBkQEDn«[email protected]> F> \ bi wjy fhd` E GBkQEDn«[email protected]> F> \ tbhbd ŸhjwfY PGX ’DBQE †[E ! \ B  [email protected] CBk=B ‰]B FE J EH 0 Y UYM =   ’4¡ ” ¡ ” ž ¡ž BŸž ¢ ¡Ÿ££‘ ¡ L [CBko>HB< †[E E '( \ GBk=ƒk[>… CB<<[@ [H  [email protected] SEDB DE>? ! @FB kB @k=EDQ>?B   E <>[email protected]S E '( w E ' ( " / Y L Eˆ> ¤ > @k=ED GBDF> ¦ § BkFE   ¦  '  E '(( E §  '  E ' (( Y Z u dbib if ^fyi f ~b ijk¨ b… C>[email protected] GBH B F> rjwbdbtjf… GBk<@<=E EH [email protected] G>?G[?>D ¤ ž [email protected]@X <[T<[email protected]=[@D [H FB< E]=DEHB< FE 0 CBD ¤ Y ’BFEHB< [[email protected][email protected]>D B [email protected]=\[email protected] FE C>D>F>Œ ¤  ¤©ª«¬­«  " N … N p / F>FBY P>X N“[email protected]†[E B u  dbib if ^f y i f ~b i j k¨ b C>D> G>?G[?>D > D>@S FE E '(  :  W GBH  / / + C>[email protected]„?B @[email protected]@>?    W Y  PTX ’BFE„‰DH>D †[E > D>@S E]>=> <>[email protected]S !  ¤ ® N n UYMD s D> [email protected]>D B CBk=B FE Hƒ[email protected] n?BT>? FB [email protected] ¯ [email protected] >T>@]B… ? CBk=BY ` ab cbd c † ' (   '  +( ' ; +( '   (  ¥  £‘ ¡ ± ’[email protected]@DB [email protected]‰†[EQ ? [email protected]<=B \… [H CBk=B ! 6 M =>? †[E † '! ( † '( …  6 M XY  [email protected]< @[email protected]>=B< P?G[?E… CE?B H\=BFB [email protected]… B CBk=B FE Hƒ[email protected] n?BT>?Y UYM W s D> [email protected]>D B CBk=B FE HŠ]@HB n?BT>? FB [email protected] ¯ [email protected] >T>@]B † '(     V ; ‰ F  W : ; +2  + <>TEkFB †[E E?E \ [H CBk=B GDƒ[email protected] ² FE E @FB kB @k=EDQ>?B + G Y  [email protected]@=E B EDDB [email protected] UYMq  >F> > A[k‚RB E '(   :   [email protected] [H @k=EDQ>?B 0     E [H> [email protected]‚RB @[email protected]@>? 5 7 ! FE HBFB †[E °4 E ' (      E P '  ( [email protected]ˆ> C>D> > D>@S CB<@[email protected]> ! FE E '( Y H §Ÿ4 £I A §¥Y o>‚> >< @=ED>‚œE<… [email protected]‰G>kFB D [email protected]F> FE N  / // + Y ³ Ê·¸º· ¶½ ´ºÀ ¶ · ³ ´µ ·¸º· ·¸»¼ , »¼½À Æ, » , ¾¼ , ¸´Á , Ë V êëìíîïîðñò òñóíì ôìíñò õì ö÷øùúìò UYMV  >F> > A[k‚RB E ' (  W  / ‰    CEFE„X  [email protected] [H @k=EDQ>?B †[E GBk=Eko> >CEk>< [H> D>@S FE<=> A[k‚RBY H §Ÿ4 £I A §¥Y PTX “ nED>F> CBD W    J ' (  / ‰ ;  GBkQEDnE C>D> > D>@S ! [email protected]@=>F> EH P>X… E‰DH>[email protected]… E]@T> [H =>? 5 †[E n>D>k=> > GBkQEDn«[email protected]>Y PGX o>‚> M @=ED>‚œE< FB CDBGE< D>@S [email protected]@=>F> EH P>X CE?B u dbib i` K `edbh… GBH [email protected]F> > A[k‚RB E '(  >  ? †[E CB<<[@ [H CBk=B ‰]B ! p / … CEFE„X ‘B<=DE †[E > F>F> CBD    E ' ( |  / … + …  …    GBkQEDnE C>D> ! … †[>?†[ED †[E B Go[=E @[email protected]@>? 5 6 M Y PTX Z k HEDB FE @=ED>‚œE< /†[E////FEQEH < C>D> n>D>[email protected] †[E B EDDB >T HEkBD †[E  +…C>[email protected]„TEkFB„F> > A[k‚RB V / / E '(    + 2F ; 2µ:  + 2  W + : ;  †[E =EH E]>=>HEk=E  SEDB< DE>@<… P>X [[email protected][email protected] B u dbib i` K `edbh C>D> >CDB]@H>D B ¤ž£¡ª SEDB FE E FE ABDH> > ¶ žªž 4 £ª > GBkQEDn«[email protected]> [[email protected][email protected]>kFB 5 [email protected]=E FE<=> D>@SY PTX o>‚> › @=ED>‚œE‚RBŒ H §Ÿ4 £I A §¥ =[FB †[E ABD kEGE<<Š[email protected] C>D> n>D>[email protected] > GBkQEDn«[email protected]>Y UY› M s D> EkGBk=D>D [H SEDB CB<@[email protected] FE  E ' (  F ; :  W  <  : ; 2 ; + k[H @k=EDQ>?B EH †[E QBG« CB<<> n>D>[email protected] f s _jb_j > GBkQEDn«[email protected]> FB CDBGE< E FB @k=EDQ>?B E FB Go[=E @[email protected]@>?Y U™ ` ì ab í cbd ìø c ñ õì e bc ì d fc ð î b gah ð î b õ b UY› › ➠“ A[k‚RB E '(  +  > ? ; G  ; + =EH [H SEDB EH   / Y y [>@< F>< A[k‚œE< >T>@]B QBG« CBFE [[email protected][email protected]>D C>D> [email protected]>D E< ' ' J  ' (  >?  +(  ; +( G J ' (   ; + ; G  > ? '  ; +( : ' J ' (   ; +(>?  + F W  + '    †  +( ;  † · ¸ ¹ CBFE F> C>D> G>?G[?>D rº  …  # / Y UY› = s [email protected][email protected]>kFB B E]EDGƒ[email protected] >[email protected] G>?G[?E r»z Y UY› D “GoE B CBk=B FE @k ¼ E]RB½ F> A[k‚RB E '(  >? ; F  +Y UY› W LEˆ> > A[k‚RB E ' (  >? : ;  ˆ  +Y “GoE B Q>?BD FE  kB †[>? E '(   Y UY› q y [EDEHB< [email protected]>D >  [email protected]> D>@S ! FE [H> A[k‚RB E N /  ¾ O M [[email protected][email protected]>kFB B u dbib ifi xs _bj jtfkl`i agw`iijm fiY ’DBQ>D †[E A[k‚RB FE G?><F> GBk=ƒk[>X E >?\H [email protected]<X J '(    /   5 J ' (  J ' ( C>D> #+ \ GDED> ! Y PL[nE<=RBŒ ;<=[FE > A[k‚RB J  k[H @k=EDQ>?B J '/ (  GBH  p ! E YYYX ¿¥¡ª¥¤ž À ¦ À a`Á f E N   O M igf i m `˜ ` i ijc `_`hwjv m ` y wbt E PP wbhd à hgf Ä  ags bh Å f Æg` j€ E '( E '( " / Ä jj€ E P ' ( 7 / s f_f dbib  6    Ä Ç Ê·¸º· »¼ À ¸ È ¼ÄÈ· ³ ´µ ·¸º· ¶½ ´ºÀ ¶ · Å´¼ ¸È· ³ »¼ µ [ ÄÀ µ · Á · ¶ , Á ¸¼µ »¼ µ ´ ¸À µ · Á · ¶ , ÁË UU êëìíîïîðñò òñóíì ôìíñò õì ö÷øùúìò jjj€ E PP '( h ¨ b d_bwf i` ijhfy `t    Ä {hd ¨ b f i `ÆÉ Êhwjf b Ëdjif fsyjwfhib|i ` b ‘\=BFB FE •EÌ =Bk f E wbh m `_Í ` s f_f f Î hjwf _fj˜ ! i` E `t    i ` cb_ `i wbyÅ jib 5 6    wbh m `hj`hd`t`hd`Ä ~b_ `j `t sy b `i wbyÅ `hib|i ` ~ i ` J '( 6   €   5 wf i wbhd_v_jb `t b  f i `ÆÉ Êhwjf   J ' ( # + bhi` wbh m `_Í j_v s f_f ! Ä E' J '(    ( E P ' ( UM ì í ìø ñ õì e bcìd fcðîb gahðîbõ b Ï üýþÿ      ÿþ Ð þ Ñ Ò  Ó  þ Ò ÿþ  MYU ➠ >FB B <@<=EH> [email protected]>D ‚    … BkFE + G 2/ 2  ÔÕ  / ‰   ØØ  ÔÕ / Ø E  ÕÖ 2 ÙØ ‚ ÕÖ » Ù 2 × + 2 +/ × P>X G>?G[?E > kFB AD>‚œEkFB >[email protected]=H\[email protected]> FE CBk=B ¼ [=[>k=E GBH G >?n>[email protected][email protected]< PH>k„ =EkFB B <@<=EH> k> BDFEH F>F>XY @@@Y [[email protected][email protected]>kFB >[email protected]=H\[email protected]> FE CBk=B ¼ [=[>k=E GBH G >?n>[email protected][email protected]< E GBk„ FEk<>‚RB [email protected]=>?Y PTX lB?B†[E Œ [email protected] E o ?HEk=BY BGBDDE EDDB FE >DDEFBkF>HEk=BY =>Y MYM ➠o>SEkFB„ [email protected]>kn[?>[email protected]>‚RB FE [H <@<=EH> FE BDFEH G … ‚    … CE?B u dbib i` { yjtjhfk¨ b i` Ú fg ii… [[email protected][email protected]>kFB >[email protected]=H\[email protected]> FE CBk=B ¼ [=[>k=E GBH  >?n>[email protected][email protected]< E GBkFEk<>‚RB [email protected]=>?… [email protected]<Œ ` ab cbd c  / ÔÕÕ /  / Ö / / ‰ + / / G / / 2 / G / G + / ‰ /  + / / < / G / P>X l>?G[?E ÛÜÝ ‚ Y PTX l>?G[?E > @kQED<> FE ‚ Y PGX l>?G[?E > H>[email protected] ‚ [email protected]@k>?Y MY› o>SEkFB„ [email protected]>kn[?>[email protected]>‚RB FB <@<=EH> G / ÔÕÕ  / ÕÕ + / Ö / 2 k¨ Ú  2 / G /  / G / ii G / 2 / G /  / Ø Ù×Ø GBH  / G / 2 / + / + /  + /  + / + / †  + E †:  G ØØ ×ØØ Ù CE?B u dbib i` { yjtjhf b i` fg GBH GBkFEk<>‚RB [email protected]=>? E [[email protected][email protected]>kFB >[email protected]=H\[email protected]> FE CBk=B ¼ [=[>k=E GBH >?n>[email protected][email protected]< [email protected]<Œ ÔÕÕ ÕÕ Ö 2 / / < W / W / /  W G / + < / »» / < ‰  / + W + < / »  + / + G + 2 + < + / /  W  + <  /  +/ ØØ ×ØØ Ù GBH †   2 †:  2 E †F  2 U› êëìíîïîðñò òñóíì Þðòcìd bò ßðø ìbíìò P>X l>?G[?E > Y PTX o>‚> [H> E=>C> FE DE‰k>HEk=B FE FB B <@<=EH> [email protected]>D ~  +‰ ; +/ }  2 / {  »/  » €  ; 2} ;  » {   <   /    2 ; G} ; 2 {  “[email protected]>kFB„‚RB [email protected]=>? E >[email protected]=H\[email protected]> FE CBk=B ¼ [=[>k=E GBH  >?n>[email protected][email protected]< à H>[email protected] FB <@<=EH> >[email protected]> [email protected]<Œ 2 G / 2 / ÔÕÕ  / ‰ < +  ØØ GBH †   G E †:  G G < Ö / Ù × GG /  W G‰ o>‚> [H> E=>C> FE DE‰k>HEk=B C>[email protected] FE '5  }5  { 5 (  '/ W »   + G    » (  MY= ➠lBk<@FEDE B ~       €        G   + ; G :   ;  : ;  : ;  F ;  V  G  : ; V  2 'á  á  á  V á : F ( †[E =EH [H>  [email protected]> X Z <@<=EH> <>[email protected]S B â_jd _jb i` afii `hc`yin H §Ÿ4 £I A §¥Y PTX ‘B<=DE †[E > FE @=ED>F>< FB u dbib i` Ú fg ii|a`ji`y GBkQEDnEY MYD –kQED=> > H>[email protected] >T>@]B [<>kFB B u dbib i` { yjtjhfk¨ b i` Ú fg ii GBH GBkFEk<>‚RB [email protected]=>? E M >?n>[email protected][email protected] [email protected]>D ‚    BkFE ‰  ÔÕ + ‚ ÕÖ   + » / »/ / < / / /  / + / /   /  + /  + ØØ  Ù×  2 E / ‰ / ÔÕÕ +  Ö //  P>X <>[email protected]S B â_jd _jb ifi ã jh Å fi n H §Ÿ4 £I A §¥Y PTX <>[email protected]S B â_jd _jb i` afii `hc`yi n H §Ÿ4 £I A §¥Y Ø Ù×Ø +  ÔÕ /  ÕÖ / Ø Ù×Ø U9 ì í ìø ñ õì e bcìd fcðîb gahðîbõ b Z †[E ‰DH>D F> GBkQEDn«[email protected]> FB u dbib i` Ú fg ii|a`ji`y EH P>X E EH PTXn MYq LEˆ>H    : /  Õ Ô Ø  ÔÕÕ /   ØØ  E  ÕÖ  : ÙØ  :: :F ‚ Ö Ù ×  F  /  FF × F GBH ¬¬ 7 / … ÛÜÝ '‚ ( 7 / Y lBk<@FEDE B <@<=EH> ‚ Šå   EŠå> 'äŠå  ä:Šå  äFŠå ( … nED>F> CE?B u dbib i` Ú fg ii|a`ji`yY LEˆ> æ  ¬ä ä¬  ¬ … BkFE '    :   F ( \ > Y ’DBQE †[EŒ P>X Šå Š å Š å     ` ab cbd c x æ ä¬   : :F F æ ä¬ :  R æ ä¬ :  ::  FF PTX $ç ™ Šå  ¬  |  + …  E G [email protected]>D G ê G †[E kRB <>[email protected]‚> B â_jd _jb i` afi| i `hc` y i… H>< C>D> B †[>? B u  dbib i` Ú fg ii |a`ji` y GBkQEDnEk=EY MYV  >FB B <@<=EH> + / G  + ÕÔÕ G + + Ö/ +  Ø w ÕÔ  Ø  ÕÔ + Ø Ù×Ø ÕÖ : Ù×Ø ÕÖ Ù×Ø F + Ú ii P>X ”E„B CBD { yjtjhfk¨ b i` fg … GBH GBkFEk<>‚RB [email protected]=>?… [[email protected][email protected]>kFB >[email protected]=H\„ [email protected]> FE CBk=B ¼ [=[>k=E GBH G >?n>[email protected][email protected]< k> H>[email protected]<<>Y PTX  [email protected] > U˜ GB?[k> F> @kQED<> F> H>[email protected] FB< GBE‰[email protected]=E< § 4 £B£ë ž  ” ¡ > [email protected]>kn[„ ?>[email protected]>‚RB [email protected]=> kB @=EH P>XY MYU™ LEˆ>H  ‰ +  + Õ Ô  ÔÕÕ W  +  ØØ  E  ÕÖ µ Ù×ØØ ‚ Ö Ù× G 2 + W P>X ”E ‚   CE?B u dbib i` { yjtjhfk¨ b i` Ú fg ii GBH GBkFEk<>‚RB [email protected]=>? E >[email protected]=H\[email protected]> FE CBk=B ¼ [=[>k=E GBH  >?n>[email protected][email protected]kFB B ¤¥Ÿ¤¡ ¤ ’4 ¡ ” ¡ >[email protected]>… G>?G[?E ÛÜÝ ‚ Y PGX ;][email protected]†[E >< ‰DH>‚œE<Œ @Y •B CDBGE<HEk=B FE [H> CDB]@H>F>… [email protected]> CE?B u dbib i` { yjtjhfk¨ b i` Ú fg ii… >< BCED>‚œE< [email protected]>< kB GŠ?G[?B FB< DE<ƒF[B< FEQEH < GBH [email protected]@BD FB †[E > [[email protected][email protected]>F> kB< GŠ?G[?B< DE<=>k=E< PCBD E]EHC?B F[C?>„[email protected]D> DE ‚  … B DE<ƒF[B \ [email protected] C>D> [email protected]„ [email protected]>D 2 +  ÔÕÕ  G + Ö  + +   < ØØ w ÕÔÕ } ØØ  ÕÔÕ / Ù× Ö { Ù× Ö + Ø Ù×Ø CE?B u dbib i` Ú fg ii|a`ji`yY L >TE„ [H Go[=E @[email protected]@>? E [email protected]> †[>? B k  HEDB FE @=ED>‚œE< kEGE<<Š[email protected]>< C>D> †[E B EDDB B <@<=EH> [email protected]>D >T>@]B CE?B u dbib i` { yjtjhfk¨ b i` Ú fg ii GBH GBkFEk<>‚RB [email protected]=>? [<>kFB >[email protected]=H\[email protected]> FE CBk=B ¼ [=[>k=E FE  >?n>[email protected][email protected]D > >[email protected]>‚RB FB H\=BFB QBG« FEQE C><<>D B< GBE‰[email protected]=E< k[H\„ [email protected]< FB <@<=EH> C>D>  >?n>[email protected][email protected]< [email protected]>DE< / »   2  + W / /» W / µµW Øw Ù×Ø  ÔÕÕ  Ö : F ~ 2 ; +} ; +{    €    W} ; +{  G    + ; +} ; + W {  2 / W / 2 » Ø  ÔÕ  22 Ù×Ø ÕÖ   » µ Ø Ù×Ø ~ W ;  } ;  W {  ‰   €    W} ; +{  G    + ; +} ; + W {  2 E ' ( ZT PMX [email protected] [email protected] FB <@<=EH> PUX <[T<[email protected]=[@kFB„ [email protected]@D> E†[>‚RB FE PUX CE?> FE<=> GBH >  [email protected]> E†[>‚RB FE PUXY ’BD=>k=B E?E< ?Ek=ED > PUX PB[ PMXX [<>kFB B u  dbib i` Ú fg ii | a`ji`y… C>[email protected] FE [H GED=B Go[=E @[email protected]@>? ‰]>FB '5  }5  { 5 ( … FE ABDH> > BT=ED > HE?oBD [email protected] [email protected]\<@H> @=ED>‚RBY “ †[>? FB< [email protected]< <@<=EH>< FEQEHB< >[email protected]>D B u dbib i` Ú fg ii|a`ji`y >T>@]B \ GBk<@<=Ek=E kFB B u dbib i` { yjtjhfk¨ b i` Ú fg iiY ' +( ~    €       ; } ; } ; G} ; } ; {  ; G{  ; 2{  ; {  + ; :   2  ' +  ( MYU= ’>D> B< @=Ek< >T>@]B DE >‰DH>‚RB [email protected]=> \ m `_ifi`j_f B[ cfyi f… C §Ÿ4 £I ž  ” ¡ >=D>Q\< FE [H> CDBQ> B[ GBk=D>„E]EHC?BŒ P>X y [>kFB [<>HB< [H H\=BFB @=ED>[email protected] C>D> [email protected]>D [H k HEDB ! GBH [H> G>?G[?>FBD> GBH[H… E >C‡< > U™˜ @=ED>‚RB B< Q>?BDE< [email protected]< C><<>H > HEk=E !    Y UD ì í ìø ñ õì e bcìd fcðîb gahðîbõ b PTX KBFB <@<=EH> [email protected]>D †[E <>[email protected]S B â_jd _jb i` afii `hc`yi =>HT\H <>[email protected]DŠ B â _jd _jb if i ã jh Å f i Y PGX  >FB [H <@<=EH> [email protected]>D… BDFEH C>D> >< E†[>‚œE< EH †[E B <@<=EH> <>[email protected]S B â_jd _jb i` afii `hc`y iY PFX •B u dbib i` { yjtjhfk¨ b i` Ú fg ii E kB @=ED>[email protected] FE Ú fg ii|a`ji`y GBHE=EHB< EDDB FE =D[kG>HEk=BY MYUD P>X “ A[k‚RB   '   { ( ` ab cbd c   J '{ (  : : :  ::   CB<<[@ [H  [email protected] CBk=B ‰]B ! EH M Y ‘B<=DE †[E { ä å  J '{ äå ( GBkQEDnE C>D> ! … †[>?†[ED †[E B CBk=B @[email protected]@>? { ä E [email protected]>D   x   ; : }   :  ;  :: }   : CE?B u dbib åi` Úå fg ii|a`ji`y… GBH >CDB]@H>‚RB @[email protected]@>? ' ä5å  } ä5å ( BT=\H„ ' ä  } ä ( †[E GBkQEDnE C>D> > < [email protected]‚œE 5å  äå [email protected]@FE GBH > FE‰[email protected]> kB @=EH P>X GBH Q>?BD @[email protected]@>?  ä { ä5å Y UW êëìíîïîðñò òñóíì ñ e e í î üýþÿ      ÿþ  ï ï ð ›YU ➠/ LEˆ> E ' (   ˆ E H † 5 '( … †  '( … † : '( E † F '( B< [email protected] ¯ [email protected]< FE IEnEkFDEy FE nD>[ … +…  E G DEHEk=EY “B >CDB]@H>DHB< E kB @k=EDQ>?B  + + CE?B ‘‘ CBD [H  [email protected] ¯ [email protected] FE nD>[ Q  [email protected]< G † ' (  /† 5 '( ; †  ' ( ; /† : '(  < y  + +  “B >CDB]@H>DHB< E kB @k=EDQ>?B CE?B ‘‘ CBD [H [email protected] ¯ [email protected] FE nD>[ Q G [email protected]< † '(   5† 5 '( ;  †  '( ;  : † : ' ( ;  F † F ' (  [email protected] B Q>?BD FE 5 …   … : E F Y  ’>D> B< @=Ek< >T>@]B DE >‰DH>‚RB [email protected]=> \ m `_ifi`j_f B[ cfyi f… C §Ÿ4 £I ž  ” ¡ ›YM ➠>=D>Q\< FE [H> CDBQ> B[ GBk=D>„E]EHC?BŒ P>X lBk<@FEDE > A[k‚RB E ' (   ,-.  ; G .Ü%  ; W ,-. +/ … [email protected]‡[email protected]> FE CEDƒBFB 1 Y xhv j i ` ñ f_t Ÿ hjwf FE E >=\ B o>DH ¯ [email protected] FE BDFEH q BT=E„ ;k=RB >B A>SEDHB< > y DEHB< ò '(   ,-.  ; G .Ü%  Y PTX LE B [email protected] ¯ [email protected] † 'ó (  óF ABD >CDB]@H>FB CE?B ‘‘ y EH  + + CBD [H [email protected] ¯ [email protected] F> ABDH> ô 5 'ó (  õ ¬ ó : ¬ ¬ö5 Ek=RB B EDDB †[>FDŠ[email protected] [email protected] SEDHB< > xhvyji ` ñ f_t Ÿhjwf FE +E '(  ,-.:  . Ü%  >=\ B o>DH ¯ [email protected] FE + BDFEH G BT=EHB< > >CDB]@H>‚RB ò '(  2 .Ü%  ; 2 .Ü% G Y > A[k‚RB E =>TE?>F> >T>@]B CBD [H> A[k‚RB F> ABDH> ò ' (  5 ;  ,-.  ; ›Y› “CDB]@HE  : . 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Ü%  y H 4 IA [email protected][email protected]>kFB E<=ECDB]@HE [email protected] FE nD>[ G … CE?B ‘‘ Y §Ÿ £ §¥Y ›YU› ➠L >TE„@< DE?>[email protected]>HEk=E >B ÷CDBF[=B @k=EDkB  : ø  ù ú  õ ø ' t(ù ' t(  ö : >F> > =>TE?> ™ ™Y9 ™Yq UYM UYD ™YM U UYM = MY› U MYW™ MYD = Q >CDB]@HE ÷ E CBD [H [email protected] ¯ [email protected] FE nD>[ G CE?B ‘‘ y … DE?>[email protected]>HEk=E >B CDBF[=B @k=EDkB  E ' ( E  ò ú  E '/ ( ò '/ ( ; E '/ 2( ò '/ 2( ; E '/ » ( ò '/ » ( ; E ' +  ( ò ' +  ( ; E ' + ‰(ò ' + ‰( : ¯ / < H 4 I A [<>kFB B< [email protected] [email protected]< F>FB< >[email protected]>Y ZT=Eko> =>HT\H B Q>?BD F> >CDB]@H>‚RB kB CBk=B Y §Ÿ £ §¥Y ›YU9 ‘B<=DE †[E  ‹ û : ,-. 1  . Ü% † 1  þ  /  q ‹  / … + …  …   … q †  + …  … G …    ~/ E [email protected]‡[email protected]> FE CEDƒBFB  Y  E„CDB]@H>D E CBD [H> A[k‚RB F> ABDH>  .   .   .  / / / / / / / / / / U ‹ ‹ ò U '(  5 ; õ Š ,-. 1  ; Š . Ü% 1   / / ¹ Šö  · CE?B ‘‘÷ y DE?>[email protected]>HEk=E >B CDBF[=B @k=EDkB  E  ò ú  û : E '( ò ' ( þ P“kŠ[email protected]DH ¯ [email protected]>  BHƒ[email protected] GBk=ƒk[BXY P>X “CDE< E]CDE<<œE< C>D> ?G[?>D B< GBE‰[email protected]=E< Š … ‹ # / E Š … ‹ # +Y H §Ÿ 4 £ I A §¥Y  / … ‹ # + E †[E A[k‚RB PTX ‘B<=DE †[E A[k‚RB C>D Ek=RB Š ƒHC>D Ek=RB Š … ‹ # / Y ›YUD o>‚> > “kŠ[email protected]DH ¯ [email protected]> F> A[k‚RB >T>@]B >=\ B o>DH ¯ [email protected] FE BDFEH ›Y M U „W „D „ = „9 „› „M „U ™ U M › 9 = D W  . 0  2 1 MM ` ì ab í cbd ìø c ñ õì e bc ì d fc ð î b gah ð î b õ b ›YUW “kŠ[email protected]DH ¯ [email protected]> P BHƒ[email protected] [email protected] E [email protected]‡[email protected]> FE CEDƒBFB  1 Y L [CBko> †[E E E<=Š =>TE?>F> kB<  CBk=B<    …  + …  …   …  … CED=EkGEk=E< >B @k=EDQ>?B /   1 Y E„CDB]@H>D E CBD [H>   A[k‚RB F> ABDH>   U ò U '(  5 ; õ &Š ,-. ‹  ; Š . Ü% ‹  *   Šö  3 S " CE?B ‘‘ y … DE?>[email protected]>HEk=E >B CDBF[=B @k=EDkB ÷ : E ' ò ' Eòú  õ  (  (  ö P>X ‘B<=DE †[E ô  : Ü% õ . †   . Ü%   ö   ô :õ ,-. †   ,-.   ö ô  : Ü% õ . †   ,-.   ö :  Ü% õ . : †  ö : õ ,-. : †   ö ô  /  / + Q Q  + † 7 ô ô / Q † Q  / Q Q  † 7 ô + Q † Q  + / Q Q    +Q "   +Q "   / +Q† Q ô  + PTX y [>@< >< E]CDE<<œE< C>D> B< GBE‰[email protected]=E< Š … ‹ # / E Š … ‹ # +n PGX o>‚> > “kŠ[email protected]DH ¯ [email protected]>  @ C>D> > A[k‚RB E =>TE?>F> >T>@]B… >=\ B o>DH ¯„ [email protected] FE BDFEH › U M › 9 = D W q E ' ( UM D U = V UVU UWq Uq› UWV UW D U9 V BkFE   12 Y     ›YUq ➠ P>X “B >CDB]@H>DHB< > A[k‚RB ~ /QQ1   1  E '(  €       1 ;  1 Q  Q  1 y ÷ 3 E  ò ú  û : E '( ò '( þ  5 CBD [H> C>DŠTB?>… CE?B ‘‘ … DE?>[email protected]>HEk=E >B CDBF[=B @k=EDkB M› êëìíîïîðñò òñóíì ñ e e í [email protected]< > A[k‚RB ò '(   + ; +W   +W  :  » »1 +‰1 : “ˆ[<=E E CBD [H> A[k‚RB FB [email protected]  '(  5 ;  . Ü%  ;  ,-.   : y CE?B ‘‘ y … GBH B HE? F>< F[>< >CDB]@H>‚œE< \ HE?oBD n š[<[email protected]‰†[EY PTX  >F> > =>TE?> ™ U M ›  E ' ( U „U ™ U >CDB]@HE„> CBD [H> DE=> CE?B ‘‘ y Y ;<=> HE DE=> >ˆ[<=>… CE?B ‘‘ y … > =>TE?> „U ™ ™Y= U n  E '( U „U ™ U ’>D> > =>TE?> „U ™ U M …  E '( U „U ™ U QBG« =EH [email protected]‚œE<… SED B< GŠ?G[?B<… FE F>D @kABDH>‚œE< DE=> †[E HE?oBD > >CDB]@H> CE?B ‘‘ y n H §Ÿ4 £I A §¥Y ›YUV “B A>SEDHB< > >CDB]@H>‚RB FE [H> A[k‚RB E CBD [H [email protected] ¯ [email protected] F> ABDH> 4 5 4 5 5 ;   ;  :  : ;  F  F ¯ o [[email protected][email protected]>kFB B ‘‘ y … BT=EHB< [H [email protected] [email protected] FE nD>[ MY >SEkFB > >CDB]@H>‚RB FE E CBD [H [email protected] ¯ [email protected] F> ABDH> 5 ;   ;  :  : ;  F  F ; V V BT=EDEHB< kBQ>HEk=E [H [email protected] ¯ [email protected] FE nD>[ M n H §Ÿ4 £I A §¥Y ÷ >F> [H> A[k‚RB E =>TE?>F> EH = CBk=B< >[email protected][„D> >CDB]@HŠ„?> CBD[H/ ›YM™ [email protected]  ¯ [email protected] ò FE nD>[ HEkBD B[ @n[>? > › E BT=EQE„ DE=> GBH E  ò  E  ò ú Y ;k=RB E ' ( \ [H> DE=> n š[<[email protected]‰†[EY ›YM U ➠l>?G[?E  E  DE>@< =>@< †[E 4 4 5 5 E '  (  û : & +     : * : þ    : Hƒ[email protected] '( > >CDB]@H>‚RB [email protected]> C>D> E '( CBD [H [email protected] ¯ [email protected] FE nD>[ S [<>kFB B ›YM M L‘‘Eˆ> yòYU’DBQE ÷ †[E ÷ Q E  ò U    E  ò U  ú E  òU  E  òU ú M9 ` ì ab í cbd ìø c ñ õì e bc ì d fc ð î b gah ð î b õ b ›YM›  >FB< [email protected] ÷ E‚B [email protected]>? ‚B< [email protected]>@< FE PkB=E †[E U U ; M ò U   XY [email protected] E 6 Y ÷ ;k=RB CDB]@H>‚œE< ‡[email protected]>< FE E DE?>[email protected]>HEk=E >  ú EH U E U   DEHEk=E… =EHB<÷ ÷   + + +  +    + E   U    E   U  ú Q E   U  E   U ú  + –k=EDCDE=E E<=E DE<[?=>FBY E E A[k‚œE< DE>@< [email protected]<[email protected]=>< kRB @[email protected]>HEk=E k[?>GBk=EGED >B ›YM9 H =Ek=>D >CDB]@H>D E k[H @k=EDQ>?B    CE?B ‘‘ y CBD  ò ' (  5  ' ( ;   E ' ( 6 l>?G[?E 5 …   E B EDDB †[>FDŠ[email protected] û ü E ' (  ò '( 8 : þ   7 ›YM = ➠‘B<=DE †[E B< [email protected] ¯ [email protected]< +… ÷… : … F …    kRB @< EH DE?>‚RB > E  ò ú  û ü E '( ò ' ( þ  †[>@<†[ED †[E H  E  P p  XY M= êëìíîïîðñò òñóíì øcìía ñhbù ñ üýþÿ      ÿþ Ð þÿ  Ò  9 YU [email protected] B< Q>?BDE< FE '!  ( C>D> B< †[>@< B [email protected] ¯ [email protected] @k=EDCB?>FBD F> =>TE?> ➠ ™ U M › 9 ¬ E '¬ ( U › U ! : „U= =EH nD>[ MY 9 YM L Eˆ>H 5 …   …   …  6   [email protected]<[email protected]=B< M > M… E E [H> A[k‚RB GBk=ƒk[> EH    ➠ GBH [email protected]>F>< E P … E PP …   … E ä5åGBk=ƒk[>< EH    Y L Eˆ> ò ' ( B [email protected] ¯ [email protected] FE nD>[ Q < †[E HE?oBD >CDB]@H> > =>TE?> 9 : ; < = > ? @ @A CE?B ‘‘ y Y ‘B<=DE †[E D> B< @=Ek< >T>@]B DE >‰DH>‚RB [email protected]=> \ `_ifi`j_f B[ cfy f… §Ÿ4 £I ž  ” ¡ >=D>Q\< FE [H> CDBQ> B[ GBk=D>„E]EHC?BŒ P>X † '(  W  F ;   + \ B [email protected] ¯ [email protected] @k=EDCB?>FBD FE ™ U „U M „M Y ¬ E '¬ ( „U › = ›™ = ››› PTX K>TE?>HB< E '(   ˆ ; <  + EH UU CBk=B< [email protected]<[email protected]=B< M > M 5  www  5 Y E '5 ( E ' ( w w w E ' 5 ( ;k=RB >B >CDB]@H>DHB< E<<> =>TE?> CE?B ‘‘ y CBD [H [email protected] ¯ [email protected] FE nD>[ Q » GED=>HEk=E BT=EDEHB< [H [email protected] ¯ [email protected] FE nD>[ = Y PGX “CDB]@H>HB< [H> A[k‚RB /E GBk=ƒk[> CE?B ‘‘ y CBD [H [email protected] ¯ [email protected] FE nD>[ HEkBD B[ @n[>? > ‹ kB @k=EDQ>?B   + E [email protected]< EDDB †[>FDŠ[email protected] @n[>? > SEDBY ’BFEHB< Ek=RB GBkG?[@D †[E E \ [H [email protected] ¯ [email protected] FE nD>[ HEkBD B[ @n[>? > ‹ Y PFX LE [H [email protected] ¯ [email protected] ¦ FE nD>[ = \ =>TE?>FB EH U™ CBk=B< @n[>?HEk=E E‚>FB< E FBD F> =>TE?> [email protected]>… Ek=RB B nD>[ FE § \ HEkBD B[ @n[>? > DY PEX LE [H [email protected] ¯ [email protected] ¦ FE nD>[ = \ =>TE?>FB EH = CBk=B< [email protected]<[email protected]=B< E FBD F> =>TE?> [email protected]> … Ek=RB B nD>[ FE § \ = Y ±½½· ´ ,»½[ºÀ¶·Ë J KL M N O MD ` ì ab í cbd ìø c ñ õì e bc ì d fc ð î b gah ð î b õ b 9 Y9 lBk TE?> FE [H> GED=> A[k‚RB E Œ M 9 ›  ™ U Y } U MYW = ›YU99 U ›qWY9 M™ 9 qV MqM 9 YM V = › D= y [EDEHB< [<>D @k=EDCB?>‚RB C>D> >CDB]@H>D B Q>?BD FE E '/ W( FE ABDH> > =ED > HEkBD >Q>[email protected]>‚RB FE EDDB CB<<ƒQE?Y L >TEkFB †[E E \ GBk=ƒk[>… =EH [email protected]>F>< FE =BF>< >< BDFEk< Šå  GBk=ƒk[>< E <>[email protected]S E ä '(  Q Š > … C>D> =BFB  6 /  2 … DE kB<… E F« > HE?oBD >Q>[email protected]>‚RB †[E C[FED C>D> B EDDB [email protected] 9 Y= [email protected]>D B [email protected] ¯ [email protected] FE nD>[ Hƒ[email protected] †[E C><<> CE?B< CBk=B<  D  ™ U › 9 Y } › ™ Uq D › Mq = 9 YD “=D>Q\< F> =>TE?> C>D> }  . Ü%  †[E }  / µ‰µ‰ » Y 9 YW H> =>TE?> FE F> GBH >Dn[HEk=B< Q>[email protected]>kFB FE nD>[ EH nD>[Y [email protected]@=>D B s =EDHB GBHC?EHEk=>D C>D> [email protected] ¯ [email protected]< @k=EDCB?>FBDE< FE nD>[ +…  E G Y  9 Yq lBk<@FEDE > =>TE?> 5  www  Y E '5( E ' ( w w w E ' ( P>X LEˆ>H ò '( B [email protected] ¯ [email protected] @k=EDCB?>FBD FE E DE?>[email protected]>HEk=E > 5 …   …   …   E '( B [email protected] ¯ [email protected] @k=EDCB?>FBDô FE E DE?>[email protected]>HEk=E >   …  : …   …  Y ‘B<=DE †[E  ' ' ' ò' ' (    5 ( (     (  (   5 E 5       P K \ B [email protected] ¯ [email protected] @k=EDCB?>FBD FE DE?>[email protected]>HEk=E > … … … Y PTX s <>kFB B @=EH P>X BT=Eko> > ^ _tg yf i` `edbh C>D> > @k=EDCB?>‚RB [email protected]@>?Y MW êëìíîïîðñò òñóíì øcì íbù ñ üýþÿ      ÿþ Ð þ ÿ Ò  Ñ ÿ  Ò = YU ‘B<=DE †[E †[>kFB > DEnD> FE ajt s i bh \ >[email protected]>F> C>D> ➠ 9 R Q : < S ? T U û : 3 . 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