Fizika | Mechanika, Kvantummechanika » A kvantummechanikai többtestprobléma alapjai I

A doksi online olvasásához kérlek jelentkezz be!

A kvantummechanikai többtestprobléma alapjai I

A doksi online olvasásához kérlek jelentkezz be!


 2006 · 15 oldal  (125 KB)    magyar    191    2008. január 24.  
    
Értékelések

Nincs még értékelés. Legyél Te az első!

Tartalmi kivonat

x s  ¢ m x e  e o x x e —e  n x —e  e x             j bK ƒ d  ba ž s j b ƒd  ba ƒ ‰ ž  j ba  ¡ s j  ba ¡ s  I XV @C C A EBCD@ AE ?@A XQAB Q> e ¬ Œ b ƒd  ba s j I ž T @ MF T J E CT C ?Q V AX C XV @C      | bƒ ¦ «ª ­ b­ §¨          º c¹ ± ° Œ ¸d ¯° Œ s¬  G· ¶ > ce A ±²° Œ ¯ ´µ d Z IZ CAX GQEV Q> H LX H» S ?I BFG ´ M Œ¯ Œ ® ³c ±²° EŒ s d N sª S  % #" ' & # #$%" e ¬ =< f s| j ¡ ba ¾ §¨ ¦ ¼ ½ ª« Œ / 3 31. 3 K VYX E OX VC ECT VWT EQ O XV BC C LC B C AT XQAB A qH LCX @MC E? @C N U @V AVC OXq VVC EF C Q e ¬ e lª ¬ §¨ ª I XL T e ¬ ¼ ƒ d ­ à  b­ | c • – §¨ ¦ Á ª« ƒ Œ s| j ba ¡ EQ GHVV VC BÅ Z N ?HKV CQ V EBC CT N S ? BFGH ] N g —É š e ƒe ¾ Œ Ê£ƒ ƒ  Ç • – I s ƒ e ¢ ƒ u w  V

H? • – QF | sÇ g C? [ OQ N Ë Èc ƒ c ƒ S IZ VF F E MOX ? Q F?Q ET [ QLO G N I Î ;  Ì BCD @ C H QE V C > E d Ž €S A?B @ ?V QFV G G LOQ L VE H ? q AN CX AE T GH AVO ?C QE GH I ?@A ] N H MO KÀC N Æ ‹E H q Q H d hŠ c ƒ ‰ s‹ d Œ d fd f Jd f @O ] AX CX G f f fd e  o€ n€  u wˆt h~ s ƒ„ d‚ m€  s † ƒ d‚   |Ž l ?@C ƒ‡ d‚ s f fd e bd c ba r sr EX V?@ C] g bd f d~ ih g EOX j Z I d~ Ž TÄ z `s V I C QF T r h ` i x xy u tw v z{s| j ` ra ` i x xv u wt I ÃH ƒ E HF E AT HLCX LOC L B H EU >@A Z C kj o kd k dn ma C kl hj I N ?V CX ] C? [ @N C EQ AL O C? N T@A D ACT >P YV QOT G >}H EOPQ N U Dq p XQV F P[ ? > H> MOX T ` fd e bd c ba f f g bd ih b CT ¿ I E 34 < EOPQ N F LCX OW ?V AS @ JR ? N AFD I X^ ] Q E XH BFGH M HBFT > N A @ HB >?@A BCDE AE A BFGH LCT A HU HB M 1; IJK AL 4:

789 6 "  4/0 () (* +,-. /01 0 345 2  !       A u w d ¾ ¾ x  xe s| Ç Ï ¾ ex ¾ oƒ d x Œx e u w ” d x ƒn x x ƒ mƒ x“ ‘ ƒ~ ƒ ‘’t h x s s ” “ g g Œ e s b¯ d ~ Ðh  „ ‡ e ʗ † Ê Ê e ʗ es j — c • – b ƒd  ba ƒ ‰ œ žŸ • › š ˜™ š ˜ › r sr u w x s Ê ‡ d tx Î j   ba ¡—   s| j ba ¡—    e ¢£ u w e  ~ sr  Ñ ¤ u w x fe# c  -­ " ­ s e# -c " ­ -­ c " s e# l x | s d Î x Î I 1 }H e  s ³ ” x ”  s e# s  1d c  ./- " " 1d e# Î  s e# 1 -d c x x “ -c Í t " s e# ­ 1 -­ c " s ³# " ­ -­ c d Î — s|  Î  Í  x  x Í Í “  t u w  Î  Ê Ê e Œ Œ x x x I T@A CT ¿ V FT BX A XqH H? ] HE LCX LOC L N x Î Ë “ È - Š­ # t‹ " Š l# 3 3 ‹ 34t ­ 2 2

"  2 kƒ  ­ -­ ƒk  ° d d V Q [ ˆ k VV s f#  kd I f# kd • k / =< I  kd # • k j x C@ ¿ AVCTA N g x Œ ­ " • ° ƒ k c VW K ` ƒ € AC TBU V VC A ? QÌ q H s #  kd " O HG 8 k "  k# " " s # d 3  " 3  X d   k" s N H ÌX@ TPQ H?BÅ HO AA · 3 31. 3  z ` ` ra `s z ` i j ` |ra z ` € Œ u tw x ` s i xz x ` H Q ] q BO V FE N sk k# ­ ?qHÅ XL X X H Q> Œ u w H T XH HE • – ƒ q AT  s ƒ ‘ e —­ `­ i x z `‘ ! s` z `‘ `‘ z `— u w | ƒ ƒ t  t ƒ ” “ 3> < = - = ÆCN ? MOX ? BF H AV FTQ N C OG LCT U M O C X E CG@ CT O@V ?F ` Ge# 31 Žd ?V c ,< QF I ¾f % %& k [ d c ' –k x x e c # —# —e # Žd c `" ` Žd i i % x " x s # e ` Žd `" c i e ` Ž i x cd x `" ` ` % Æ H H X XHE e %&H ­ `­ e# ` Ž i x cd x `"

—e # ` r Žd c `" Œ uvtw | s ? N —e # ` Žd c ` r" Œ uvtw XK H LCX CG@ VCT H ?PQV @ ?V @ ¤ %& *)# ` d `" %& j g bd f f ÌQ Ee E OW K- FDA ? N qHB B s ³ HXV f g bd e `j X^ Q XC ] f H @C BC?HE M @N @AT V ?HB p CT ¿ C C AC ] B I, ACX ] HN FG T FT Q + V AT q ABÅX H G ?( E AT W Q ? EX N Q Cq N F? fd c ba $ Y P T @ C fd c ba c # se ` d c `" z ` l E @ ?C [ > B? ;3 ³ LCX (): g Q 4 , ;< + + `" 1  T T Q   f  f f fd c ba `  g bd k ± ¬j s -/  ƒ FTH  • d  k ± ¬j g bd f  s   f • fd c ba `s 5 — `z i x ` x 1/ T HFT H E F? Q B ?HB s ƒ 01  () O AF? X O Q Dq p kd s K ¿ E ?KBC E PO qC V¿ C VU BCX E N 6 N C M ACX FT ] QC ¿ Ck k7 CX ] C , ° „d ʃ N   l  XB AV qH V @AVC G ? G#  QVX CT Q? AVCT TC N PC t‹ ­ kƒ  5Š HT W F À ` • d  I V [ I V p CN I

N N k EFT d ] 9 8 k s  I TVU U M BO H Y P CG rX Q q CT P Y] EC N ?V e ƒ ‰ Êh ˆ ƒ‡ u tw Ê Ê s † ƒd ʁ s † Ê Ê „€ d ʀ „ v u tw ‡ Êh e „ HB E e Í x ” EU e   s Ê >@A — Í Í   x AA f Í  e u w e s| Ê p AT QDV H N # fe# ` Ž i x cd x `" —e `j rŽ r | Ž da c `" Œ uvtw s " l# e d -c l# e  d c  /.- "  l# e " -d c " s ³# d c A 0  IZ ¾k s¾ CT G LF? V Ær ] qHM  H? BGH N VU KC qT C?@ D ACT O VF H ° ]  I C] g u w s  ‘  c • – t  % ° % s i n ?H VF EQ | 3s mˆ — n 3s o N s  I rƒ  d # n o  " kd •  •  | ˆg f ˆc m c j ˆc n —c ma dn ch od f —g mh f n m AN ?H ˆn — m OPQ T m AF OGB VC O X X^ H? EQ AN VF K MX   ? Q   m o    d   #" s #   rƒ s # " kd rƒ k‰ ˆ¾  " Q HFEX ? Q AVF AN  H? WPQ T  I N

m HCT N B n H? > Æo VCX YT OPQ ] WHE G C , FT d ­ " ?  sk k# ­ " s # ƒ " kd  kd rƒ  " s #  r ¾ ?B ECT N AV ?HV QP VCX V ?@EV @F ¿ H A d  k‰ ˆ CO@A ] X N @N E E ƒ X M Æo BC? A C X EC ] N ° Oj ia C , d r K  N sr — ia r CX ] C BT ?V QF H kd k " s #  kd VY FP ¿ V H AFT ¾ VQO H?C G ? Q ? Q k @AC ¿ AVCT  B ¾ H  XQV N G BOG CA  N k s ] ?C [ QF H?V B V QOT Æ XQ G }H HLWT F¿ E ?C [ N CX ] H? OF GH C C O XD G , B HOX H? HÌ C ECT N CAX YT KMO MW s j i ˆ M UQCT ATV ?V f e ­ ­ g | dn E g od   o 3s CX ] # s VF F n — 3s I CO k  kd rƒ ˆg   — | 3s O F k @A  € • ? Q MOX 3s • OX H? GH C G Z ON C?H X BC H ?V @U YT A BW s` # r > i `" VCTH % EV QFT U LCX ? V O M C X sr }H MF @O Er  E Ž CX ] C , AOX S A ° d ?»F m F N I M N   HM A H? C I VY ¿ H G

CT  CTP Æ? AÅ TT BF  s # ] HN " kd rƒ Q Wq T X GH G GQ B A T BOG > ] AC N A G CVV D VCX QU YT A HE }H Q @O ] AX CX MWG A?B HFX OT ] A V?@ X  EÅ @O AC ] V G CX OFT EL MF C G @ CT X ? YT Tq H? N ƒS BC?K LWT CH VF BA G TA [ G u tw C? [ H?V? U rf i QF [ [ x x V EV E?V@ BF?GH XQ ] HT Q N H? GH C  D sr E VK H? QF N % B  f r d Ž€ i % ?C [ ? Q E°  HE B B H HVUT U BO H Y P ŽG ? E°  Q HE N s  f Ž i x xv u tw M sŽ i % — r d Ž€ % v u wt GC X Ž sŽ H H A FT O MC U? M O C¿ AVCT O N @F ¿  % Q A B V VF ¿ l N > e `j Žr a z `c s`e Ž z j ` c &% $ H }H B B VH  ra H FT N X¿ M %& $ r" ` Žd c ` s e# ] N X rH Q q }H KX + V EFT BX }H d Ž€ sr T C OFT ^M D@A ] N  X BC? T CTqHA V PV ÆH s g  f#  k" kd rƒ ¾ x f f f —j g bd f f fd c ba mƒ x ƒn • – ” c ƒ g bd f f j fd c ba —

¦ f « f Œ f | s ˆ f fd c ba f° " kd kj ¾a ƒ ¾ rƒ s #  ‡ t ˆ w u | f —j g bd x | mƒ x ƒn “ s V ?B @Ì   g I C ??BC M ACX ?V F »? Œ K CO V E?@V @F ¿ H A mƒ x ƒn ” c • – t ƒ x | mƒ x ƒn “ x sI ‚ u w l ‡ ° ° d d d %  s i % s  g s ¯ ƒ~ bƒ Ð • – c ƒ s f° Ð d v u tw d † s † „ CT O À dj I LCX ?V ik s ° à % s Ä d % i % †s ‚ a O b —k 3 sb k  s ° T Q i % q H i % g ÆC s ‘ ƒ • – c g Œ %Ð k bk c • –k % B @A Z I g u w qL H VG ? CX U D ?BC V VHF ¿ X[ U MQ B C BC? E CX A ?V F s Äh ƒ  ƒ c • – tƒ G FN ? B sÃ Ä s i VY? U EM Æ N C TH VC ¿ BOX ON A CX OX B TVGH HV V? H X V ?Q C CT E BFG  + 19 5 / XAV H T G ?BC M F H? [ ACX BC? Z M : 8 KN O . >:+ 1 = 2 12  () 7- 2 VCT@ GH C G AO . 5 -6 AB HÌ S OX^ [ CT ] LC@ CG N CTH B W? i % FTT ACX VH  FT qH X MC C?

A?B EVQ ?Q C @ @ ?V CT CX N C VCT CX C V A?BC @ C? V AL L@ EF T   i % ? f° ° h N LWT †s s A G H? %„ ° h C S % EI AC AX N F À ?V YT G AOVE A @U H I MOX s i % ? %‡ EC BOG ? Q YT T ? AVEF O A @U ?V Q> EI HM ?H VF ? H F ? EC C? N BOG A CX } CX º A AA PQ EC ] KBY T AOV f° C?H YT AOVE ?  f œ EC G Í BOG |s j Œ › GA N C @C |s j ?@A N H? H T OT HOX Y ?B @Ì %‡ %„ @U ° | ‡ MCX O HXD s ‡ i % X W Q qH A HXT A j « Æ CO N L ¨a |    j Œ XV — ¨d g bd f f  fd c ba Œ ‡ t ˆ w u | sf j f c od fh I V F¿ ¦ VJ P TC VCX BCD AC Ía  d a ° d AE  s e „ Ð ˆc dn ˆc n —c ma c m | OF D X O H? HOX HFT BX AO qH o g d  f | ff d c m | sg od f f  j a j fd c ma  g  ƒ s e • – fj g od f f d  a j fd c ma sg o  f | ff d c m | s gj od f f  fd c ma  c ƒ es Œ   u tw ‡ „ s †  d    I VW qH

HT E HF AAT BFGQ CXAV CT B  ° s  d e ‡  [ f f ƒd fd  b ƒd f f  j fa  tƒ ƒd sf j f fd  b ƒd f f „ fa    ƒ  ƒ I B TVGH H?V H CG VX † f f fd  ƒd b ƒd f f  j fa  tƒ ƒd s| f j f fd  b ƒd f f „† fa    ƒ  ƒ ° sf j f f f fd  ƒd b ƒd f f ‡ j fa    ƒt  ƒd fd  b ƒd sf j f f  f   tƒ  fa f ƒd b ƒd fd f † „† „a s fa       j ƒ  ƒ  ƒ | ƒ %  s i % I C ? @ BCD Œu f f ƒ fd  d  | b ƒd f f ƒ j fa  s| f j f f f ƒ fd  d  | b ƒd f f ƒ j fa  sf j f ƒd fd  b ƒd ƒd fd  b ƒd f f fa f ƒ  f fa  ‡ ƒ   ‡ „ ” ” “ ” sf f ƒd fd  b ƒd f f j fa f f ƒd fd  b ƒd f f j fa    ƒt sf j f fd  ƒ †  d ‰ f f ƒ fd  d | b ƒd f f j fa t sf j f fd f   ‡† fa b ƒd    j Å   a c ±‰  c s j  ˆ ƒd d  ƒ  ‡ ƒ  ƒ 

f f f   ” “ a s j  VF X T AO f f fd  ƒ d | b ƒd f f j fa t s| f j f fd  ƒd b ƒd f f ‡ fa   †  d j a a j  sf j f fd  ƒd b ƒd f f fa    ‡   j ƒ  ƒ    † ƒ | ‡† ƒ a f f fd  ƒd b ƒd f f  j „ fa  ƒt         „ † „† ƒ t ‡ ƒ   s d fd  ƒ ƒ T HF CT @ AGA ] N AT@ C D V E?Q ACT P AO Œ d R Qd C? [ QF C?@ dn T EO D Eo d m B  VF O T AF G IXQ H V G G CG Q A D F¿ F AX N C p V ?QV H U Æ qQ‹ H LCXA V @C   L L V H QA X QZ V KVF T Q G F G HV HV H ¿ AX N AC C GQ CX V GH G T O AF  w e ± ° Œ d QX f° u     ® s u w¬ s Œ s| f f V OX Q VF EQ  ƒ j    s j   ƒd    ª      d  u w  f f ƒd fd  f f b ƒd d fd A ?Q j BFG f ƒ d | b ƒd fa   f f   fd sf j f ƒ fa tƒ   sf j f fa sf j f fd ƒd b ƒd  f f b ƒd f f

b ƒd „ ‡ fa ƒd ƒ fa f † f  fd ƒ fa     ƒ | b ƒd f f  f >S  g bh f f    fh e d e bh c d c ba VX HE ] qH N Å V E?Q QF ?C [ Q  > fd ÆA  w  ƒ Æ ?g CT Ì ƒ s ƒ  f E ]N AX BC? C j A I C BWG ?Q C K d ?B  AÅ V  E ]N H I V E?Q C CT  g bh f f    ] fh e d e bh c d c ba I X N @N Y P FG T T Cq BCD AE Æ ?@A UJ N N QF ?C [ AÑC Ì G E Q G HVX? HEFT [ AT CX I XqH ] B j Œu B j Æ OX [ VFTXHE Œ GV BW st ?HV   QVF ƒ  k G G QLO L VE BW | b ƒd f f fa B L V X E YT E K H E qH VW V QABX Q [ j B j ba ± — . j ba  s j ± ba d ba |  > QB Œ  d ba s j g Kd q F C H> Ƌ ?QV  B s Æ H j >  q t ƒ |  I ƒ N sf j f ] I s  d ba s  . ba AFT OH EC ?V V@ E C] EX N Y BCD ] ?@A N N Y P TVU OX [  Q p ƒ  N  TVPU OX [ p Y UC AE Cq TT FG P @N OX [ C VYT @C

XV @C @V H   Œ   f° a c • ±c‰ – E?@ s s j   ƒ  ƒ e c • ±c‰ – HN OX [ A¿ HM HN HC KLCX N BWG V @ ]N FTQ AC uc w e QV F O Q V V?V FX H? ] I ? XLA  HT T HVF Q I ƒ | b ƒd I     s| Œ fa ” ˆ „ ƒ   ƒ | „ ƒ a ‡     ƒ   „ ƒ ° ° | “ t ° “ ] Œ f  N I f ° s N °  d Œ “ h X] C C t ° V Œ s ‡ d Œ ° H  |  „ s †  s OTT  w s Œ ° s Q F uc w e AFT ] Q G ?( Ì N A OX [ AE ?V QF C? [ ?@A+ QOX [ A H }H   ¤   e e ¼ ž s f Œ R « ¦ ¦ « M VK HV Å BCT@A  W¿ V CE T @ CTG V BAO EO LCX V ¡ s| e ª f ³ ¬ ¼ Œ% ¾ ¾ ¾% Œ Œ s s  Ð   I Å C ] @C  AVO R N ¼    d  e j R Œa § V BAO EO AVO CT ?LHL V H QAX CPQ T N HO N H ?C CX ] [ HFT [ Æ OX A BF H A ?QVF qHC G ] N X HEF ¿ OF N C? CX VF A XqH D AT XHV @C C C > T@A LCD V E?@ @] ¼N BX H E?? Q B

E H H A A A C CT ] [ D HEFT [ H ?C A ?V G¿ X C M UC ?C F ?V F AX N AC C @ CA ?H H V W KO    ON X EOQ Q+ LCX CN CG X CX HFT [ s ?BC X AN @ LCX f   OX [ C C? E  Œ s| E E] @N Æ OX M C  ~ ?QO N I E?@ ÆF ?N AX HX ¿ N e HO N AC QB F G + M N A CX L ?L H Œ ?C LWT F V G CX ?V @ GVQA G B CT C ?Q GQ C N C Q QI HA GH F AX N C G V ?ÀV j @MC C BCT C? ~ HN V EQ HLLO ¯ T B @A> VF F s A V KLCX ?V @  a D XqH QVV @ @ AC f O R > Œ }  ¼O I MW X FTT OHV BC C e ª ¬ GV Œ Z ¤S d ¨ j  a — ] I E AX AC QA F ] N T HVF AAÅ BFG OW LFDA V ? C? [  @A  S ‡ CT Æ e ‡ e  ‘¡ Æ d a VU C qT C?@ D ACT  KVY ¿ EOX VC  Ð s — I XL HOFT D X Q ? X L CT Q C EN @A Y N GA BOG G EC LFD  ?C [ V V AOV VCX Z  E K CG ‡ ] N Æ Uq LT Œ HEOW  P  e  ¬ |s j | PBC  V H VG ?Q VG C AAO CTqHA [ ¯ ~ j

‘a ¡  e ¬ ¬    uew s j ~ ¯  ‘¡ a  Œ  d d j Í a˜ ˜  j ¾ Îa ˜ ¾ s j  ˜  ˜ d d d ¾Í a  j ¾a % b¡ I — Š XV @C c C e A s  œ  Í .˜     | Š    œ  Í ± ˜ — Š   d j a j a  a a j —j d  s j d d Î ˜ Í a˜    Š Š   j ¾a Ð ¾  ¾ % % ¾ ” “ s I  Š XV @C c C e A | I C @AT LCD A V EQ A C EC BAO EO AVO V e  e %Œ ¡ ¾ Œ  s  CT  d d  j a j a s j d  Î Z @ ? ˜ Í a˜    œ  Í ± ˜ Œ — | Š | Œ u sw S V OX ?BC V ATC H LCX U? q C? V CTG a |s j ¬ N @ | ] >Q O AVF s|  Å T E ? CX º H E V HB CX Q P O q G T AF H ¿ A HFT XB H QX XHV BOX@ [ AVX ?Q C CT E>B F¿ CT E HB A AC @B GO TA [ T CE HO AA · A EBF E?? OQ ?V H Æ OX [ HFTE [ AT BC ?BC CX T C VLH a j CT ¿ Œ— T E  GA eÆH X B HMO C[ CX ] N CZ ¤S > H B N X ]N C BC VQ

^V  B sª C s A e Œ  u w KOW D Q H T Q q H Œ — Š j a  e Œ    — — Š —  d  j a j a ¼ s ¾ f œ  Í .˜ ¼ s h žh s¾ ž s¾ s Œ — Š j a  Ñ ¤ ¤ ¤ Œ V ? G@ VV V QÅ BFG A e e |  e  | s Ð   O ,   0   00    ¤  0      e .C  s # ­   ­  ¤ A   ¤   A0 Ñ  ¤ 0 ѐ  ¤ Ñ ¤ 0 A A0    ³ Œ a dj  ¦ j  — a     .º ( | s Œ Š j —a Š   Œ « | Œ — Œ " u w  e  a s j  ¢      00    T Q q H  %Œ Œ ¡ e CX  C] Æ OX [ V g kd k c • –k L L HOX N ??BC M ACX Æ ?C ?  s  QV OX BC? V AC T @ CTG D O  H? > 5K ¾ °  XQA [ V j |     a c   .¾  Æ B TA [ VU qT D HO N ?KV  Ð s — I MW X T HFT ] [ N FN B A GQ H Q q ° %  s i % e u w sª 8h ¬ C @C A EBCD@ AE g  kj ~ V KB F THL VF

M F A, FT X X EOQ g Z Œ  N N s  V C T CX ] C Q+ BW BC? VF?Q A F HM A % ¾ k c • –k e  e e e ¼   s e § VK VG  Æ e ¼ H CTqHA E?V@ @ ?  He G@ Q ¼ ¼ q  e H I T¼ VP BOX > A I M HT @ s s CqH t S kj k a kj Ð b a ¾k ª ¯kj ba k LCX 8 Æ Œ% ¡ c  ‚ ‘¡ k a  • –k ¬  uew  s  V U? @ ? AFV O ?C T BC GH T c R ® G@M j ±  ?@A N Œ  — a Œ s Œ s w ° XC º VCX j ja  w Œ CT N ³ e ?C N e ª Œ — Œ js  ˆ s ¬ª   GV e ¼ a  CX ¼ —  a ³ ³ ª e e 8 ˆ A H H es ª ¬ h ¾ e ª ¬ a Y X LCXH XV E ª V §¨ C f j E ] ¬ e ª ¬ ¼ s| ¾ j ¡ s @B W e a  B ? GQ EBOX BC? V AC T @ CTG V BAO EO AVO MFK C G Q q H D B A CN N V OXH ° Q] qN ]  @ j A IX AOX s 5 ¾ CT ?H MF H A MC qH  V¿ H VG QAW M HÅ j AW QCT H E E TV CTqHA T Q VL P X X [ ƾ a H[  TA ] N H F

?VF HFT , T EM CQ B ¿ C VC? ° BC [ s HB ° a  V CX ] N HÌ X C?H V PN ACT C?@ CH AVCT OG ACT [ +C E CX ] ] N BCD AE @A L   qH  FTK N c Ï MO  " *)#   I ° А MC  XV @C c C e A s s H C¿ q E H CGE X] ?F A VÅ V X HX @BC OW D H XQ ] HT C BC? E GA XQ ^ GV CE EV BAO Q E?? Q O?Q HX N @ M > AVO CT H? CX ] F GAV C? HFT [ j s j  G  e   sd Ša j Ša  Œ — a Œ A I C a j  Æ ¿ N KO N H ?C Œ | G ¾ %¾ EO Iq B ] @A N C ¿N C À s| ¾ j  h   j a  ¢  sd — |Œ ¾ $ª ¢  %j  j a BC a s j  ˆ ?C  e  M N d a I V I ° ¾a ¾ s  C BC? E GA OXQ s  Ð Z  S ± c j e a  ˆ A ¤ ¤ 0  C ? CT GB HB ] H ?VH QF C? [ ?QF T  N H ]N CAE CX ] C , 3>   = 4+ 5 2  >. 6 + -  5 ;01 +  / . , / 31 , 0 ,    .  , () < >0 /04 345 2 0 4/0 s s s f°  °  ‡   d

d d d d † °  „ V G CX G CX ÆM ? X ] N @N VY ‡ PF ¿ H AB A X E H C X Æ E e   VL K e  A T MF  T[ @V C C Tq CX ] T  Ð s — V ?B C @ C BC? A  v u wt ‡ s „† † | „ d j Œ | d Äd j a j # Äd a ±  d —  V B I F?@A A À T@A B  s G Œ j Œ | d j a # Äd Œ ±    dd j a s j d Äa ± Ä"   3|Ä­ a d d d d 3 Ä R ° ­ d | d 3 Ä d d  | Œ a § Œ  j d Äa 3 Ä ± s •     V Q OXq À ] N I V s ± ±   Œ " d# d | d  ­ 3 Ä­ Œ | d Äd d d ­ ­ s # 3 Ä  d Äd " Æ Æ TKVU CVXÄ CT N N I V E?Q QF C? [ Y E CQ P CG VO@ F? G O T AF d XN QMO H LCX Ä B HB H H · ?QV j • CT Œ — a —  ja — a O I AV Œ C  — d —­ I V H V E?Q QF ?C [ U QB C V C C ? CT BG HB ] H ?HV QF u tw s ¡  ¡ ‡ „ | „ ¡‡ † | s ‡ ¡‡ ¡† | † u wt „ ¡

t † s °  ¡ ‡ ‡ | ‡ ¡‡ . YT@A I C MG N F¿ Æ VFT H V GA A T G N  # e# " " Q qB C¿ Z S s HU  I CT [ T HVG? OG ] B GQ CX ?H ? V C VYT G VCGH  C  e H W GV CX  5 CT N A L T [ L F M FH A, VV CP BOG OG O XH E CDqH B X V EQ [ E H Q T H Œ # Œ d |­ Äj V E?Q QF ± T E H p C? [ s # d Äa . d Ä­ ?QF s # ± d Ä­ V X Q }H A XHT W LCT qHF . d Äa — d Ä ­j EÌX C XE T H HED A G B GQ GQ B CX T [ BOG H ?Q PQ ?V # V G X ] N #  VW HEX C H UF VH E MH O ABO d Ä­ a  .j u Äw — u w Œ u w Œ — s # . ‡ s # s ± ‡ d Ä­ ‡. ‡ . | ‡ ± | s|  TA HA T X N A G E QC HE? N . HLX CQ †  ± | „ C? [ CQ N ] EN C CX ] C , — E t „ l ?QV l . N ‡ . O HF d Ä­ E T HFT  Q X CN LC HE BC E Ì V T AM ¿ AV EBC Y · @C CA q, ACA H Q EQ [ BFGH E?@ K f Œ  fd f

sŒ j @C N AV @C CA Tq V G CX G ­ GQ B B TA [ | d ­ A T [  O GO C¿ s ­ G] AVCT > | HFT GQ CX V G I @AC KN CT ± KŒ Œ Ä d fd d ­  • | |f s j  d d  a s j 3 Ä ±  f f fd d ³ e d Œ d c e d ° j s| f Ä"  3 Ä­  dd   3 Ä­ 3 Ä  a s j Ä"  ­  # ° „ d Äa • es    e „ | s Œ — a  u w ÄI H E?V@ CO e u Iw V CO GQ V B A T [ @F ¿ @F ¿ C¿ A E?@V OG A‡ e H ACT ¤ ¤      !  ­ #  # &"  =  / 02 + . 5 < < >0 01 ,34  4- = 01 3   0  0> , ,   /-+ 1  =   . -+ j a 1 3> . Œ — 43 ,  7( ) es  # " Ä"  ­ e Ä ­ s # e u w ) %  $ C V TTO C , >/ & # #$%" " ­ ­ s # Ä ­ s # " Ä"   Ä"   # !  >/ %  Ä  3 3 3  # # "        & &    V

?B @C ?V QF ?C [ F?Q T H ]N AE C CT O À 6 = XM I V @CVV AY ] N VFTH G Z ÑS ÆV CQ V BW V d I MW ° d BF HFT FN Æ BX C?@ CG C ÆX ] N X Æ VO ? EC VAO OTT HV C H C H BCD AE ?@AV @] ?  G V KBY B C EC EX N X @N AC GBO BOG C C] C?@ @AT ?A @ G EC AOV HE ECT LF? C] G D ECT ACT P X G HC ] D ACT EX T Q VY @N EX X C N YV P @N Y CE ] Q P[ AY ] VVC  XL T HVF HFT T HF N P A T N C FG A GA ] N CX ] HFT C P[ TT GQ k   F > X HT HEF ¿ Xq ] N V ] ?C [ HFT HE k E Q X H BOG A G ? AOV Q qHFT ? K BOT VF Q E?Q MOX q BO QF VWQ B EC Q> dj X [ E V H `s e k C C U B EC EV OXQ [ ? EC BOG VX F¿ AVO V E G EN ? A Æ @A ] CT L V GA CX G GQ B A T [ BOG B HB H H Q E X A X  O TL?U YT VO A LWT EZ ÆÑ S q  # e# " " E s VC?@ EQ [ ­ ­ Q V T HVFT " H Ä Ä s # LCX EL G H 3 " # Ä e# Ä ­ ­ > 3 "

X Q?V U BG G Q VH @A @V E?@V @F ¿ ] HN A C k  Æ` VE @ OG AC Æ ?` C EV B H # C E k TGH #l HEVO T EF ¿ QW ` ¾  k s i % C I e Œf  % VKU C ] CT ­ ­ ­ T eÄ ­ ÌDqH ? @V V CX H VCTP Ä " "  s #  " E ÆC ? XN O s¾ HB C H QF VQX QOT G }H LCXH C O   Q ` ¾ `s ] N Jd k Æ` CT ¾ Æ? Y¿  V HT QC F V @VA Ä Ä # e # " Æ E EBC?H ?V V EF ¿ H A N  V    V H? CQ V EF ¿ Hk ET CT KC O ?H ] [ Q ¿ Q q f f `s k q BO ?AV C ?EV C? [ Q T C?@ D ACT CP BCD AE V Æ ?@A ] T A B B H XB C E HBO `s AT XQV EV E C V ?B C TQO G E  j " AO }H Ä ­ — a 3 Ä s # e u w e Ä ­ " "   "  # Á   " s Ä# ­ ­ ­ Ä ­ " # @Ì C? [ QF H?V? Tq OX F ? Q OXQ [ E A Æ @A ] CT Cq BCD @V EOFT X C ^M BÅ > K ƒd  bƒa  f fd d f fŠ fd d Œa ` s j Jd f f AE d fd MO tf dd ET CT

¿ HVY H ?@A fŠ Æ E‹ f f f k fd d Œa `  T l ‹ Æ I I E k  d# C? [ ?V C? [ QF JA k YX V Æ H‹ H Q T OFT X C C E U TV s # N Ä  ­ QF `f N d # " HEVF `s  Œ tf dd ° d k s # ­ L HF ¿ " f s  TLU Æ` 3 2 U I 2 • q MOX E VY E AOX C EV H MW X FN T HFT B A K @ AE ?@A BCD G OX VFD XQAB H VGQ I V N j • Á s Ä ­  d# 3 3 Ä Y P OX Ä G H CG CT O@V " " ­ ­ Ä Ä Ä E H XB H ?BHÅ XH E X CTqHA OH AA · HX HFT @ VCT ?F GV  " V s # M EC ? KX BK H T  FT  #" Ä ­ ­  " ­ s # Ä Ä ­ " " Ä#   ÄN I V CG # Ä ­ 3ÆK ^M AOX EV Q BFG Q G OW Z 3 3 q C C? VC C I AO AOF TGH Q AB VV T VCT V CD [ @V ? HDÌ ? XN Æ EC O HT HE H? ?QEV QF C? [ ?QV CQ EVCT V @> S Q H q Q q H ¤ ¤   T Q d a q j  c He   e Œ   j u w s  ‡

 e e —c  — a  e u w s   —c ‡      e c e c d j a j a s j   ca  Œ ³     e j a a a cj   € a j —e j c e c d a s j   ª    ³   a ej   a cj e d  ca c s j   ± Œ c    e  j a j a cj c  € a ej | a  e c d a s j   ª    FTqH V ? X A  ÆC C   j a  c c  ‰ s    `    a ba  c j ej ba  s ej d c     j j j Œa   Œa Œa  j j  a j a j VWT E   a F X AM ¿ Q  Œ Œa V T VO CH? G X OGB Q EOQ  N C?G S N VO H[ Q T AE ?@A A NN H VCX TC Y Y P [ CX [ B@ @AE N AN Y XQ C] EX N @N VY f P[ Q T    ?C Æ OV G BOG A HED ATLU ] c œ Œ   e cd js a K ` CT O °     s Î G    e cd  j a  jj È c ba j e ba     ej ba   cj ba  a `     Œ Œ   j a j  d   XK YT j  a j X OX YTE ÆX  j

j j j j    j  J a  j   s`    K K K   J K K K K K K K j KK j Œa  Œ   a J œa j a j Œa œ  I MC X AF a      V   C] EX N @N XPO [ Y a @ ÆE CTV C ?Q AVX  OX V G ˆ # MC V ?VC H X? G Y CT N VCX P ?C Q OH VG F G L L GBO ?C VO H OXH GV  Tp  s d H " N j @ AEF    Œa   j  N j  JP g  œ Œa    A ` GH H q VVY ECV HA CT TP Q q H  Ka E j Œa   s  a   =  / .   j     j a s j   I s j d X ba O ` Q I ?CG + X P O Q OX [ C?G c e P+ AV OX [ @ c e A ba  j Ha N 3 d s j c e d f f   j g bd f s j Jd f f ` fd d Œa  fd e bd c ba f a fd .+ ?VC VC?G    a  a  ‰  Œa   j a j a j Œa j Œa Œa    a    Œa  ] N œ j  Q V K?V B OXQ [ ?C [ QF  5 .+ = 45 2  3 =1   4 9 =     3 > N ] < < = 3 H CT EC Y]

P I X CG TGHV A H?V 2  << O ,  5 C[ @ EM X  . /=1 BX Î ³ s XV X @C N @N N A C l Y XQAB E YX V E V /  019 . 1 OW N  ) ,- 34 - E AE Q FD LOX G Q XQA V C ¿N C G C] EXB q Q @] H VQ q T FG P   Îj d ba • Î $  d ba ¾  %j ˆ AVO ? EC G BOG A @A VAO ? qHŒ  EC s # d ‰ G GBO ` ‰ `"  B T HFT ³s H IZ z     V  c KVWT FN F P V H X > BC C?H AO N @F ¿ E?V@ HF XL ` ] N HFT d Œa s X d Œa OXH [ EBCD@ A  Æ FT TV ‡   ba ej bd  CX C¿  G HFT s j e bd c ba   E  j j e e d d c c a a c j ³ AVCT ` ? ` j Î —j Œ a Îj a ` s j  V C HOX? s Œa aŒ  |  j j ŒÎ ŒÎ  a  €a € Î Î  Œ  j C I j Œ a Îj a Î  FN Tq CG X] X N @N Y XPO [ A XHV @C C AC BCD AE Q VP? GC ?@A+ OX [ @ H AX G ? AVO K ³ L c e AL I  Î N VY Q T  Î N QV C EC U B U HLET E C V C V ÆC

VC B Y Æ H QA FX VHE BO E XQB @N O  H? BA C X@ QL P[ ÆO C?G H @A C @E AE BCD X @A  Q AV LCX HFT H AD BCG BCT EVO @A A BOG E G BOG CO A] X N @N VY P[ Q T HFT EBCD@ AE ?@A XQAB AE C?G VCX BCD ?@A ?@A TC EOQ Q C V [ P AOV MO E @ N V ¿ T ?C Æ OV ] I Œ @AT  ECD@ AE ?@A CT AX O HC ] X N @N VY P[ Q T HFT CT T B ÆO H +Q XQAB QU B CH OXH [ B MCT C EX BCDE AN AX OV EC ] C P H` B HE H `@A HV EX N YV P[ Q T E BC @N MFE @ HFT Ì @ Y E VE BO F AE ? CT A >G EOV H V ?@A OX [ QF N T @AC ] AV KC N OX E @VVUX c   e . GBO KVO VO Æ OV K V HE AVO ? X [ T > CT AVO AVCOX K C CT AC G @ ?»A ACT EC H U AÌ HE C A AB E X E        j Ja j a j Œa  Ñ ¤      —   ]   c s BC?K M ACX ? X N V KB @N H ?Q Q Y V JA P FT AC V VC AI f f g fd e c d d CN TBU G ? XQV ?IQ f fQ fd  d Œ s‹ ƒ ³ ³ ¾ e %c

¾  %ej bd c ba e ­ žej ba    ­ ­ e ­ cj ba s cl  $ g Œ    ' — — — —       cs     —    h      c  cs |    ³ c    h   c c    s c  s  c ³ ³ t aj a • J  –k Œ j | s ` Æ KB @AC N BC ³ ¾ V e ³ ³  ˆ Œ j a  a | Œ j | e = > >  38  4  < 853 . 044 > 42 5 =   5 0. 3< .= 4   34 ; 31 4 ?V QF C? [ 7 +Q ?A p +@ ): J k K KK N # `j ' c s j ba ba b N ba + @ ATV  H A?+ d `" |ˆ s j ba BFG e c k  k € I CT VCT@ LC@ CG CT ] OX^ [ > A N C J s j BA HB H g b   ‰ ˆkj ba  s j N d ba |ˆ B HB H F?QV qHC c • –k + L C WX FD EO @ M T+ CX ? AVW qVHFT ] N # `j  g e ­ ³  d ba d `" ³  s j d ba f f   d j ed bh d ba g `­ ¾ f% f fe ¾     ‰ • ‰ % $ J s j d ba  j d ba s j ba •  ? BG ?C MCGQ

BOG B A C? MC V ? BY A TP Q q HT D X FD CX N OW LFDA V ? C? [ Q] q ?C Q CT E ? H E?Q ? V QF X AOX CTA Q CX N MC @V E?@ M C A X A LCX V @AÅ TBC V ?HC G B OX [ d Œa TVGH H?V H CG A ]N BFG j H ž —ª FV Ì V KF ¿ OW LAFD AÅ TVU OVF q EVC X OX@ [ ?C G s U  BC? E LCXH L @C C ?V C Jd f f N A ?@AU N Y HVF AAÅ BFG P VWT VF F OW X C?H BC E MOX ON P Y HN ] X EOQ Q qC  Q P ? V ?V C H H HO AA HE>X CX@ @B CTT C?G U =   fd d Œa  œ‰ Å ¾ %c    • • A ` CT g bh kj c • –k I t aj •  Æ 0 g g Œ ¾ I N • fh e s I CXK CT ¿ 01 31  g N + $ = œ BFG e N c ba  ej bd c ba  e žb a z   cj ba  z  s j e ba %j %c   ­  s  ? O M @AU T C?@ OD A  ‰  BFG c A ÆC[ œ‰ fœ J A VW  CX ¾ fˆ f %j ON HC Œ I  s` # C d M ??BC `" ACX Æ ?C QA OW G H ?C [ VFD F?QAA [ OXQ [ N ­ e ­ j c ba e bd c

ba e ­ žej ba ³ $ N j j a K HF · qHÅ UFTT CT OW VFD G ?C [ B HCT @V CA @Å N  AWA T AC ] ECT H H F? ¿ H BFGH AC E @AT C?@ D P  G OW VFD G k ?C [ EB I  AICT  H   I ?V QF ] ?C [ Q @A X N @N Y P BF AT QACT F?  c  c j a —j Œa sª 3 # `j   d 3 bh d ba d `"   j 3sd 3 bh d ba  kj ba j s| t a g ¡ —k e ¢ u w  c  3  ˆ j  2‰ b   ‰ ba |ˆ ˆkj b ˜    h   s  s  ba |ˆ c • – –k   j 3sd 3 bh d ba  c   c Ñ Ñ ¤ Ñ I XV @C C] A X N @N Y P FG T T q T HE HX AF OX G ?VC MC Æ VC ? Tp H   j 3sd 3 bh d ba  ³ ¾     g a j f% f f³ ¾ ³ e %­ j g d g bh f f fh ³ d ³ bh 3 d 3 b h d ba `­ Œ J |J s g d g bh f f% f ¾ g fe ¾ `­   j fh e d e bh d ba f  e s ­ ³ ³    ‰ • ‰ % $ J  d ba ‰ s j $   •  ‰  3 J    z  fˆ f  ‰ ‰ f ˆj d   b œa  j d b aœ Œ a •

• 2  J    s  j d bka k ­ e ­ I [ CX [ U @B • k f f  g d fd c t ŒqH s k 3 V X @L  ] E@ N C °  f f   g d d d j I X ] N Œ J |J j a . |  Œ    j a s j 3 @N Y BF AT CTQA ?F [ > I TH H H ?V +Q • • N J fˆ f d    ‰ j ‰ f  3 ˆ  3 ba c j œ  j ba ¾ j %¡ $  d ba ¡ • –k sc c    j d b aœ ³ j sc j ba  c d ba   3 d z   3 b a   z s j ba ¾ %¡ $ ³ A? A @A ?HV QF C? [ Q s s kj ba • g H +@ ?C [ QF E A QD [ V P j d 3 bh d ba   d ba  g d bh d ba f z `   fh e d e bh d ba f  `j g bh s j 3 ba d e bh e g bh g fh ¯ ¾ f% f ¾ fe C ³ EV ³ ‰ C N   • ‰ % $   E V HE O@QV ?F G + @ A?+ C ] ?@A N BCD A j AE  • ‰ s . j | j d 3 b h d ba 3s bd ba  BC  OFT A QU VCX D   f e se e se ³   Ë È Ë È j ba j ba ¾ %¡ $ s # d  ¡" 3  ­ e ­   j j

j d 3 bh d ba 3 d 3|b a  d ba   j 3sd 3b h d ba  I V HT H ?V DQ [ H I VO@ ?F G + +@ ?A p N 3  j j d 3 ba k  k d ba z k   j 3sd 3 bh d ba • k   j d bh d ba s j  d ba 3  j • I ? QÌ Ej E   Ka   a a s j  a | j  j s j   a j 3 s     3 b  sb d ° d  °   s j d 3 bh d ba  j 3sd 3 bh d ba  I HTV HF N ON C?H CX E?@ N @V T HF ON H ?C CX VF E > D A O VF  s j N j bd ba ba  j I C Î 3 3 bd ba 3 ¾ % $ ¾ % $ ³ ž ³ s V XqH Œ AT 2  d ba  ‰  I  CX ] C T % $ ¾ % $ ³ ž ³ s 3 ¾ ba j  d 3 bh d ba Œ A s j kb d ba c ž – • –k  3 bd g Œ sc QFE ?C [ B Æ FQ AT QACT F? [ H @AO N H ?C CX AT VF O O ^MC + ¯ A HX j 3sd 3 bh d ba O OFT XqH D AT > E X A XqH D > E [ YT > E Tº ¡ BC? @A s # d c " | dj j 3 ba 3 b ³ % $  Œ ³ s ba j bd ba  % $ ¾ % $ ³ ž 3

¾ 3 3 bd  % $ ¾ žb a Œ 3 e f­    j 2   • ‰  % $ ¾ % $ ba j d 3 bh d ba ­ ³ 3 b  ­ ³ ­ s ba | j Œ "  d 3 bh d ba j ba 3 bd ¾ % $ ³ ž 3¾ ³ % $  • ‰  s  j j 3 ¾   3|¾ ³ ž c 3 2 s # Œ s A Ñ Ñ 0    3 f s   I C B C VCT V @CT PV OX [  Œ ba ­ j h kj ba sg bd f f fd c ba ` ' k % $ ¾ es ­ j ³ k Ё  g  k Ё b kj ba |ˆ ba s j  • k j ba J j s j ba d `" ba s` # ­ e ­  fj d ba j 3 dÎ 3 ba g 3 b j  ba | ˆkj b j bd ba  –k ba |ˆ c • – 3s Æ @N  j a s  3 3 # `j bd ba d `" s j bd ba    j a ³ ³ s¾g f% f f ¾³ e %­ g bd f f fd `­ Œ J U j a j bd ³ bd 3 bd ba s |J Æ $   3 ¾Î ³ %¾  j 3 Î d 3 ba z k ƒj 3 b dÎ ba j žd ba z   j a  • ‰ N CT XL Œ |J Œ |J J CX BC A  A d ŒA d fd Œ — HTV C?H CX O FV A XqH D > s

HFT XB A qHCT Ä ° Œ | JŒ 3 fj j ba J   ³ žb a   34 , 0  1 - 0 ,  1 ,  + 3> , 34/  ( ) :     6 j j 3s d 3 bh d ba kÎ kb a Îj d ba z k 3sd  3> 2 4 /        $ &  $   # # ¾ % $ 3 ¾ ³ j a % $    c ­ " s # ­ Œ —  + c e A N V A E b@A HÍ • k Æ ] OF N C?E CX HFT [ [ A ]N ] N XN H T W XE  EÅ  B VVO AQVF F H Æ OX Æ B H BY CE AAV X O@W ELFD B N HN Y P CG X VTU Æ  ] Q VWq N N N " P #  ÆO[ VOT T CV KÀBC C E ?BC ‡ W VV XEI Å ^ GA V ? Z S A@ S ‡ C? [  V OF N C? CX ] C HFT [ CTT @A VV BO GK ?VC O M G CTT ¿ V C VC O[ Q HW B CG @A  QX Z EBOX A LCXH EV M C[ ?QA CX M A ON  Y HVTU Æ [ Æ OX A UCXH CT L CT N K F CP ATV G Q C HD p A Æ, S X EÌX ? EI Z T H( T C?H CX CX VL C BC A V CT qHF LCXH L C VW AO FXK V  BCG LCX ? 3¾ ,  V VT   j T AT HF N H AA ?

VH? j QE [ 3 PQ d Q 3 bd FTT d VHV ba AAW BK N qHF a §¨ HOX AÅ HVF dj KC [ V Q  @ABC ‰ a   • j ¾ j BFG EQ Í   ¾ @B  3 ¾a 2 ˆ A q ACTA Œ — 3 s q BY /3 Œ 3  k ‰ Œ A > j ba   k VCE j bka • 3 3s 2 ˆ z  k s LC  @A d ba I 3  N ] Q q  H T Q H q Q q H T B b   BO BH @ G ‡ °   + c c se d e Ía   Ía d A? z • ±– ° [ °  d s B M s VV VK VT LC V Q T HFT   j K s ON HF 34 2 N 3 b ba j ba j ba J T s| | ff | q j ] dj 3 j J I N Q Í  §¨ O@V ?F 9= e BFG Æ T ° CX ] j CT N ba | j 3 ba 3s j a s U N C Q G TT HVC? OX  ¾ H BFGH B A HC OX Œ qO T AMOF ] ¿ X C V BFGQ EC ] A X H H?¾ FX A OX VC?G ] HN MC ba Æ VC ? Tp j H j È Y P FG T T Cq BCD AE ] ?@A N BC H AV CA Tq MCX OX G XV V GA OXH C q KÀ G A?B @N N Y P FG T CT X O ? PQ M TK > H @] Q VAV M BE @C

Q q  hj Î Q ] HN d ba CN EOFT ^M Ía   j ¾a   ¾ s j ba   | Œ H @A HE T HE H | X N @C q N d CT P Y] VCE V X @BF AE TGH HTV EH ?@ X — a AT g d# d t# ­ Š­ žt "  • k‰ Œ A  t­ Š­ žt "  • k‰ Œ s  E ?»A d Œ s 2 C] @ ° j 3s d 3 b h d ba ³ # % $ s ­ ‹­ žt " Š QE EX K  qHŒ  — e VV KC QA T H G @ V B V C C EVC X C CP TC N CT QU XHE IG TVO [ TVU T E?V@ @V N OX [  GH @F ¿ l —  d A s H N AN Y P ON H ?C X BC I V EX  FG VVO   BCH C C BC E? GA EVC?G — qHŒ  ?^C [ QX O T BCD AE @E H H HFT [ T Q I N } D H HED A CG ] X A?B @ @A Q qB  O H V H? [ Æ ?@AC KLCX Q CT N T HFT Y C@ E BCD AE VCX VAO ? EC G FN PQ ] ?@A GBO [ VF  V H[ N AO N N N TC Y VOP CX P VCX AA ? CT G LF? Ñ Ñ   I LCX ?@VC C OX EC ] X N @N YV PF ¿  H A V VF A BC BC? C D AT AG ^ Z XQ S E XqH ] HFTE [

XO [ p # k " s k e # " g k k  Ðkj ba  s   k  # #" k Ð" Ð c • –k  Ð s Ð k k Œ Œ u w j — a a j — s #  Ä k­ ­ 3   Ä" # ­ Ä k­ f   Ð s  I C BCD AE ?@AV @ # Ä Ä Ä     ­ ­ " #  ­ Ä­  3  3 Ä a Ä"  s #  Äj 3 Ä 3 Ð ­ Ä ­ 3  " Ä# ­ Ä­ " "   #"   3 Ð k k 3 Ð  Ð  Ä#  s Ä"  s # Ä ­ Ä k­ k  3 Ð 3 Ä Ä" e e —c  j j e bÐ a  c  c Ðb a  s  g  Ð   k k #   #"   " a s j  a s j   ee   cc  c • –k   ee  c c   e e  cc ­ ­ "  s # s  e e |  Œ 0 SZ    | e Ð s  Ð s   | | s Œ Œ Œ — j a j — a  j a j  — a €  ee c c   Ð s — e u w Œ  | | Œ Œ Œ a  § — a ¯ j £ Œ ­  ­ "  s j

 ee j  cc d j a j — a  — —  €a  s #  Ä  Ä  —cc Œ  j a j j |  ee Œ Œ  7j a j j —c  —e a  c a e Œ 6€ j a ] LFT H GA TT € a —j — —  f  e ¾f %j  a a j ¾a ¾   s j e u w  j a a sŒ j | |  s  ¢ $ª  Œ c ± K  C TMO A H X CX HVC? Æ P@M T OX C F? Œ | —e  —c a  e a c — Œ— ¯ ­ B  j K Œ — d f u sw a I f ­ —­ fd Œ  s d | ­  | @ T X , H Q q H ° °  ]  N Œ  j d | d a  j d | d a    s s  Z s S C ?CO ¿ VC?G  e j  §a j %R a N HIA HT N MF T @   ±    c C KO X CX T Æ I V V HÅ BFG U ATL ?C VCX  CT ] ^C À N N ON ± ±  DG c S c Z ³ ª  e ³ € c| e  DG S s c Z ³  c ³ € |  VC ¤        s Æ EBOX   0    ¤ A Ñ ¤ CTT ¤ ¤ A   Æ HA N Æ Æ C XE ECXV  CT N Y TVPU Æ s G TT HVC? X K Æ

Æ ¤  ѐ ¤ A  ¤  A   e    [   ¤ ¤ Ñ Ñ AC Æ Æ ¤             c Ñ Ñ A À  0       ª    A    ѐ ¤  ѐ A H Aº 0[ A[ 0 N ¤  I VH BA BF?GH VF DG  ON ³ H H  ?C ÌX  ¤ ¤  0    p    ѐ ¤ ¤ ?A [ ¤ Ñ ¤ A } 0  0  Æ X C ] N OH N E?? ? Q CX B Æ OX A TH [ ] AOBEV EO HFT [ HC N ] AVO CT L?H @ @X BC VW K C U HV ECG BX A G HD  A Q ATV F F? X GC qH FTqH BCT @C Z S q X GA ¼ FT F  CX [ B HÅ XN A } OKW X ED s Ð k ] N # k Ð e " Ð" # ÆC HFT Æ OX HFT [ ] HOF N BCG@ ?q E C s A@ ´° 0   Æ Ð C?    [ ATA N I X EC ] OX VC?@ LCX  ° K s  C I V [ Q T @N H A Ð N VY HFT XV T AVC AC FP ¿ T H H BCG ?V C? LFT T@ 0Z AS Ñ Ñ   V BC C BC? E GA XQ C?^ [  a H K GC CT O@V V E  B G F? G VVO QA MO GQ

WT [ CX V G Q T[ F?E CQ ?V HVT A?B QS ÆB T HFV ÆM AA @N D j H XqH t— ta VG Œ QAE ?Q HF  8 a c ± K Œ  j sŒ j  AT — a j  |  | a  ° C Œ a  I LFT B H GA ° j | | — €  VG ?Q VF XQA H ?[ AO T EQ [ Q  C HFT TT  CT À C EB I C HC?V OX ¢ c  ] Œ N    ­ ­ j TW [ C AC AX F G 8 s k  8    k s # t   t  HB ] @A N ± T  Æ P@M 8 Œ C ¿N X " f° Q  @  EMO ICT N O H KÀVF A K LE L V H XQA PQC , V+ MCK C ?C C XqH AC N O D EMO AT F TW [ AX } G @A QA AX N C F AC VG ?Q C CT B X G q, , H> TN HE E EV T C C WT@A [ PQ ? Z Ñ