&(1752 678', ,1 (&2120,$ ( ),1$1=$ &(175( )25 678',(6 ,1 (&2120,&6 $1' ),1$1&( WORKING PAPER no. 18 Corporate Financing and Product Market Competition: An Overview Giacinta Cestone April 1999 DIPARTIMENTO DI SCIENZE ECONOMICHE - UNIVERSITÀ DEGLI STUDI DI SALERNO Via Ponte Don Melillo - 84084 FISCIANO (SA) Tel. 089-96 3167/3168 - Fax 089-96 3169 – e-mail: [email protected] CSEF WORKING PAPER no. 18 Corporate Financing and Product Market Competition: An Overview* Giacinta Cestone** Abstract This paper offers an overview of the main interactions between corporate financing decisions and product market competition. Financial policy may affect the market game in several ways. It can make a firm more or less vulnerable to predation, commit the firm to a particular market strategy, or convey signals to the firm's competitors. Financial policy matters also in that the decision to resort to a common lender can facilitate collusion among competing firms. Finally, an appropriate design of financial claims can commit the lender not to provide potential entrants with funding or expertise. Keywords: Capital Structure, Product Markets JEL classification: G30, L13 * This work has greatly benefitted from the comments and suggestions of Giovanni Cespa, Tullio Jappelli, Marco Pagano, Michele Polo and Lucy White. ** GREMAQ, Université de Toulouse and Università Cattolica di Milano. Address for correspondence: Giacinta Cestone, GREMAQ, Université de Toulouse, Manufacture des Tabacs, 21 allée de Brienne, 31000 Toulouse, France. Tel.: +33-5-61128565. E-mail: [email protected] Table of contents 1. Introduction 2. The basic model 3. The long purse story 4. Strategic security design 4.1. The optimal financial response to predation 4.2. Financial contracts as strategic commitments 4.3. Capital structure and tacit collusion 5. Finance and the nature of competition 6. Simultaneous signalling to capital and product market 7. The role of the lender in the product market 7.1 Common lender as a coordination device 7.2 Anti-competitive financial contracts 8. Conclusion References 2 W?|hL_U|L? At T@Tih hiit |i *|ih@|hi L? ULhTLh@|i ?@?U?} @?_ ThL_U| 4@h!i| UL4 Ti||L?c t|_)?} L h4t< ?@?U@* TL*U) @giU|t |i 4@h!i| }@4i 5?Ui O@hht +@<t Ebb thi)c U hiii_ |i i@h*) Lh! L? |i tMiU|c 4@?) iUL?L4t|t @i @TThL@Ui_ |i @MLi ^it|L? Oihi i ** |h) |L @ttitt L |i *|ih@|hi @t iL*i_ @?_ @| @hi |i 4@? _i@t Uhhi?|*) ThLTLti_ W? Lh_ih |L @ttitt |i hi@* igiU|t Lu ?@?U@* _iUtL?tc iUL?L4t|t @i t|_ i_ |i ?|ihhi*@|L?t Mi|ii? |i Uhi_| 4@h!i| @?_ L|ih 4@h!i|t ? U h4t LTih@|i L_i*t Lu ULhTLh@|i ?@?U?} @?_ ThL_U| 4@h!i|t @hi T@h| Lu |t _i hiti@hU ThLiU| Aiti 4L_i*t _iT@h| uhL4 |i L_}*@?**ih EbDH |iLhi4 @*L?} |L _4i?tL?t 6ht|c @t | t t|@?_@h_ ? 4L_ih? ULhTLh@|i ?@?Uic @t)4 4i|hU ?uLh4@|L? Mi|ii? h4t @?_ ?it|Lht t @tt4i_c tL |@| ?@?U@* TL*U) @giU|t ?@?U?} ULt|t 5iUL?_c ?@?U@* TL*U)c M) 4L_u)?} |i ThL_U| 4@h!i| }@4ic @*tL @giU|t h4t< ThL|t E}hLtt Lu ?@?U?} ULt|t AihiuLhic h4t< ?@?U@* _iUtL?t 4t| |@!i ?|L @UUL?| ThL_U| 4@h!i| UL?t_ih@|L?t 4@? |i4i ? |t Lh! t |@| 4@h!i| 4TihuiU|L?t hi?uLhUi L?i @?L|ih 6Lh ?t|@?Uic Uhi_| 4@h!i| 4TihuiU|L?t 4@) u@Lh i | Lh Uhi@|i ?@?U@* M@hhiht |L i?|h) tL @t |L 4@!i L*}LTL*t|U ?_t|hit ii? 4Lhi UL?Ui?|h@|i_ Ai @TTi@* Lu |iti 4L_i*tc |i?c t |@| |i) _i*?i@|i |i U@??i*t |hL} U h4t< ?@?U@* t|hU|hi @?_ ?_t|h) t|hU|hi @hi *?!i_ t i ** tii *@|ihc |t *?!@}i 4T*it |@| |i _i}hii Lu UL4Ti||L? ? |i Uhi_| 4@h!i| @giU|t UL4Ti||L? ? |i ThL_U| 4@h!i| 5L4i 4L_i*t @*tL @i 4TLh|@?| TL*U) 4T*U@|L?t hi*@|i_ |L |i _iM@|i L? ?iht@* M@?!?} W| @t Mii? @h}i_ |@|c |hL} @? @TThLTh@|i _it}? Lu ?@?U@* U*@4tc h4t U@? 4L_u) |i UL4Ti||i i?hL?4i?|( M@?!t< i^|) L*_?}tc uLh ?t|@?Uic U@? u@Lh UL**tL? Lh UL?Ui?|h@|L? ? |i ?_t|h) At L*_ t}}it| |@| M@?!t tL*_ ?L| Mi @**Li_ |L L*_ i^|) t|@!it ? |i h4t |i) u?_ Ai _i@ |@| ?@?U@* _iUtL?t @i hi@* ThL_U| 4@h!i| igiU|t t *@h}i*) tT TLh|i_ M) |i i t|?} i4ThU@* i_i?Ui i@*ih EbbD ?_t |@| @ h4<t t|LU! 4@h!i| @*i TLt|i*) hitTL?_t |L |i @??L?Ui4i?| |@| @ h@* t }L?} |L t ti _iM|c t}}it|?} |@| *iih@}i tLu|i?t ThL_U| 4@h!i| UL4Ti||L? W? @ hiUi?| T@Tihc ~?}@*it EbbH t|_it |i th@* Lu |hU!?} UL4T@?it @u|ih |i _ihi} *@|L? Lu |i N5 |hU!?} ?_t|h)c @?_ ?_t |@| *iih@}i ?i}@|i*) @giU|t |i ThLM@M*|) |@| @ h4 thit |L ?Uhi@ti_ UL4Ti||L? Aiti hit*|t UL?h4 |@| 4 Dq lpsruwdqw srlqw wkdw zloo hphujh iurp wklv vxuyh| lv wkdw dq| hohphqw ri wkh surgxfw pdunhw jdph lv hqgrjhqrxvo| ghwhuplqhg e| upv* qdqfldo srolf|1 Wkh vhw ri sod|huv fuxfldoo| ghshqgv rq krz pdq| upv pdqdjh wr rewdlq hqrxjk oltxlglw| wr hqwhu wkh pdunhw1 Wkh sd|r ixqfwlrqv duh dhfwhg e| wkh lvvxdqfh ri qdqfldo fodlpv wkdw prgli| wkh lqvlghuv* remhfwlyhv1 Fdslwdo vwuxfwxuh ghflvlrqv pd| frqyh| lqirupdwlrq derxw upv* surwdelolw|/ wkxv fkdqjlqj wkh lqirupdwlrq vwuxfwxuh ri wkh jdph1 Ilqdoo|/ wkh vwudwhj| vsdfh pd| eh hdvlo| frqvwudlqhg e| qdqfldo frqglwlrqv +wklqn derxw d kljko| ohyhudjhg up wkdw fdqqrw h{sdqg surgxfwlyh fdsdflw| dqg wkxv lv frqvwudlqhg wr fkrrvh orz rxwsxw ohyhov,1 ?@?Ui U@??L| Mi ?i}*iU|i_ i? |h)?} |L i T*@? ?_t|h) t|hU|hi gih?} @ ?i_ thi) Lu |i |LTU t @ UL4T*i |@t! uLh @| *i@t| |L hi@tL?t 6ht|c |i ^it|L? Lu L @ h4<t ?@?U@* _iUtL?t ?|ih@U| | |t ThL_U| 4@h!i| @U||) @t ?L ?^i @?tih t | t t|@?_@h_ ? ?_t|h@* Lh}@?3@|L? |iLh)c |i @?tih Uh|U@**) _iTi?_t L? U ui@|hi Lu @ h4<t 4@h!i| @U||) L?i uLUtit L? E?|ih@U|L? | UL4Ti|?} h4tc | Ut|L4ihtc Lh tTT*iht @?_ L? |i 4L_i Lu UL4Ti||L? L?i UL?t_ihtG ThUi UL4Ti||L?c Lh?L| UL4Ti||L?c +:# h@Uitc @?_ tL L? 5iUL?_c ? Lh_ih |L i T*@? ) ?@?U@* _iUtL?t @hi UL?t|h@?i_c 4Lt| T@Tiht @tt4i |@| h4t @hi u@Ui_ | U@T|@* 4@h!i| 4TihuiU|L?t Ai tLhUi Lu |iti 4TihuiU|L?tc Liihc _giht uhL4 4L_i* |L 4L_i*G h4t 4@) Mi Uhi_| h@|L?i_ MiU@ti Lu @_ihti ti*iU|L? ThLM*i4tc uLh 4Lh@* @3@h_ hi@tL?tc Lh MiU@ti |ih ?UL4i t ?ih@M*i M) L|t_i ?it|Lht Wu |i ht| tLhUi Lu @hi|) t |ti*u |i 4@? @||h@U|i?itt Lu |i *|ih@|hic |i tiUL?_ 4@) @4Tih @ U*i@h ?_iht|@?_?} @?_ UL4T@htL? Lu |i _gihi?| 4L_i*t @?_ Lu |i iUL?L4U uLhUit @| Lh! `@| t ?ii_i_ ? 4Lt| Lu |i thi)i_ T@Tiht t tL4i uLh4 Lu Uhi_|h@|L??}( |i 4@? hit*|t _L ?L| _iTi?_ L? |i tTiUU 4L_i* Lu ULhTLh@|i ?@?U?} @_LT|i_ At thi) |hit |L @?@*)3i |i 4@? UL?UiT|t @?_ _i@t Lu |i *|ih@|hi |? @ ?i_ uh@4iLh! 4L_i* Lu Uhi_|h@|L??} E? T@h|U*@hc @ <4Lh@* @3@h_ t|Lh)< t _ii*LTi_ @?_ |i? i?hUi_ ? i@U tiU|L? ? Lh_ih |L **t|h@|i |i 4@? hi*@|L?tTt Mi|ii? @ h4<t ?@?U@* TL*U) @?_ |t ThL_U| 4@h!i| TihuLh4@?Ui AiLhit |@| U@??L| Mi ?it|i_ ? Lh 4Lh@* @3@h_ 4L_i* ** Mi _tUtti_ @| @ 4Lhi ?uLh4@* *ii* AhL}L| |i T@Tih i uLUt L? |i ?|ih@U|L? Mi|ii? @ h4 @?_ |t UL4Ti||Lht `i _L ?L| _tUtt |i igiU| Lu U@T|@* t|hU|hi L? |i ?|ih@U|L? | Ut|L4iht @?_ tTT*iht At |LTU t @*hi@_) |hi@|i_ ? O@hht+@ Ebb @?_ 6@hiBh4@_ EbbH Ai T@Tih t Lh}@?3i_ @t uL**Lt W? tiU|L? 2 i L|*?i |i M@tU ULhTLh@|i ?@?Ui 4L_i*c |@| _itUhMit @ t4T*i ?@?U?} ThLM*i4 uLh @ h4 V@h@?|t Lu |t 4L_i* @hi ti_ |hL}L| |i T@Tih W? tiU|L? i hii |i i**!?L? wL?} hti |iLh)c |i ht| @||i4T| |L @h}i |@| ?@?Ui 4@||iht uLh ThL_U| 4@h!i| UL4Ti||L? 5iU|L? e t @ML| t|h@|i}U tiUh|) _it}? `i ti |t i ThittL? |L hiuih |L @** |iLhit |h)?} |L @ttitt L @ ThL|4@ 43?} h4 U@? ?U*_i t|h@|i }U UL?t_ih@|L?t i? ULLt?} |i _it}? Lu |t U@T|@* t|hU|hi N?uLh|?@|i*)c |iti |iLhit )i*_ ih) _gihi?| Thi_U|L?t L? L h4t< U@T|@* t|hU|hi tL*_ @giU| |i ?|i?t|) Lu UL4Ti||L? ? |i ThL_U| 4@h!i| 5iU|L? D hiit @ hiUi?| T@Tih M) }L?#i@|hTL?|+i) EbbHc ihi ?Uhi@t?} @ h4<t *iih@}i 4@!it |i h4 @ |L}ih Lh @ i@!ih UL4Ti||Lh @UULh_?} |L i|ih | hi*it 4U Lh *||*i L? i |ih?@* ?@?U?} 5iU|L? S }*}|t |i _i@ |@| @ h4< ?@?U@* t|hU |hi 4@) UL?i) ?uLh4@|L? |L ML| |i U@T|@* @?_ |i ThL_U| 4@h!i| 5iU|L? . @?@*)3it |i hL*i Lu |i *i?_ih ? @giU|?} ThL_U| 4@h!i| ?|ih@U|L?t W? T@h|U *@hc |i hL*i Lu @ UL44L? *i?_ih @t @ _iUi |L ULLh_?@|i h4t< _iUtL?t @?_ |L ?_Ui UL**ti L|UL4it t @ ?i @?_ ?|ihit|?} tti `i @*tL hii hiUi?| Lh!t @h}?} |@| |i _it}? Lu |i UL44L? ?it|Lh<t U*@4 4@) @i ThLUL4Ti||i 2 @t i** @t @?|UL4Ti||i igiU|t 5iU|L? H UL?U*_it 2 Ai M@tU 4L_i* W? @| uL**Lt i ** ti 4L_U@|L?t Lu |i uL**L?} 4L_i*c M@ti_ L? OL*4 t|hL4AhL*i Ebb. At _itUhMit |i t4T*it| ?@?U?} ThLM*i4 uLh @ h4 W? Lh_ih |L i?|ih |i ?_t|h) Lh |L t|@) ? |i 4@h!i|c |i h4 4t| 4@!i @ i_ ?it|4i?| U Ai h4 @t U@t E? U@ti Lu @? it|@M*ti_ h4c |t U@? Mi ?|ih Thi|i_ @t hi|@?i_ i@h??}t uhL4 T@t| ThL_U|L?( tL | ?ii_t |L MLhhL t| U uhL4 ?it|Lht Wu |i h4 t ?@?Ui_c |i? | U@? i|ih tUUii_ @?_ LM|@? ThL| - : fc Lh u@* @?_ }i| 3ihL ?UL4i 6Lh |i 4L4i?| i @Mt|h@U| uhL4 |i igiU| Lu UL4Ti||L? L? |i ThLM@M*|) _t|hM|L? Lu ThL|t w@|ih i ** 4@!i _gihi?| @tt4T|L?t EuLh ?t|@?Ui - ** Mi @ u?U|L? Lu |i ^@?||) ThL_Ui_ M) |i h4 @?_ |t h@*t Ai ^it|L? tG ?_ih @| UL?_|L?t t |i h4 u?_i_q Ai }i?U) hLM*i4 Ai h4 t tMiU| |L 4Lh@* @3@h_ u|ih |i ?it|4i?| t 4@_i @?_ MiuLhi hi|h?t @hi hi@*3i_c |i h4<t 4@?@}ih U@? i|ih Lh! Lh th! Wu i Lh!tc |i h4 tUUii_t | ThLM@M*|) R @?_ u@*t | ThLM@M*|) R( th!?} ?_Uit u@*hi | ThLM@M*|) c M| | }it @ Th@|i Mi?i| |L |i 4@?@}ih U@? @*tL Mi ?|ihThi|i_ @t |i _t|*|) Lu igLh| t@i_ M) |i 4@?@}ih i? th!?} hiuihi?Uit AhL}L| |i T@Tih |i h@|i Lu ?|ihit| @?_ |i h@|i Lu |4i Thiuihi?Ui ** Mi |@!i? |L Mi 3ihL L| |i MLhhLih @?_ |i ?it|Lht @hi ht! ?i|h@* LhhL?} h4t @hi ThL|iU|i_ M) *4|i_ *@M*|) Ai 6?@?U@* L?|h@U| W? |t t4T*i UL?|i | |i ?@?U@* UL?|h@U| t t| @ U@t L tT*||?} h*i Ai MLhhLih<t *4|i_ *@M*|) 4T*it |@| ? U@ti Lu u@*hi ML| T@h|it hiUii @ 3ihL T@)4i?| W? U@ti Lu tUUittc |i T@h|it t@hi |i ThL|G -K }Lit |L |i MLhhLihc @?_ - -K }Lit |L |i ?it|Lh W| t @tt4i_ |@| ThL_U|L? t ThL|@M*i u |i 4@?@}ih Lh!tG R- U : f E At 4i@?t |@| ? @ Lh*_ Lu TihuiU| ?@?U@* 4@h!i|t Ei u 4@?@}ih@* igLh| @t ih@M*i |i h4 L*_ @*@)t Mi ?@?Ui_ Wu |i 4@?@}ih th!tc |i ?it|4i?| @t ?i| Thiti?| @*i i^@* |L U Atc |i h4 U@??L| Mi u?_i_ ?*itt |i UL?|h@U| }it |i 4@?@}ih |i ?Ui?|i |L Lh! At ** @TTi? u |i ?@?U@* UL?|h@U| t@|tit |i uL**L?} ?Ui?|i UL4T@|M*|) UL?t|h@?|G EUK R-K E2 uhL4 U i !?L |@| |i }it| hi|h? |@| U@? Mi T*i_}i_ |L ?it|Lht ? U@ti Lu tUUitt *i Thitih?} |i 4@?@}ih<t ?Ui?|it t i^@* |L - R AihiuLhic @ ?iUitt@h) @?_ tUi?| UL?_|L? uLh |i h4 |L Mi u?_i_ tG # R - R $ U E A@| tc i TiU|i_ T*i_}i@M*i ?UL4i 4t| i Uii_ |i ?it|Lh<t ?@?U@* L|L Ai *L?} Thti t|Lh) Ai _i@ |@| U@T|@* 4@h!i| 4TihuiU|L?t U@? @giU| |i t|hU|hi Lu |i ThL_U| 4@h!i| _@|it M@U! |L Ai*tih EbSS @?_ t *L?} Thti t|Lh) Ai @h}4i?| }Lit @t uL**LtG @? i?|h@?| |)TU@**) UL4it ?|L |i 4@h!i| | @ 4Lhi *?ih@M*i ?@?U@* t|hU|hi |@? @? ?U4Mi?| AihiuLhic @? ?U4Mi?| | @ _iiT TLU!i| U@? i?}@}i ? Thi_@|Lh) Th@U|Uit ? Lh_ih |L i @t| |i i?|h@?| ?@?U@**) @?_ _hi 4 L| Lu |i 4@h!i| @T|@* 4@h!i| 4TihuiU|L?t @hi 4T*U|*) @tt4i_ ? Lh_ih |L t|u) |i i?|h@?|<t ?@?U@* *?ih@M*|) Ai @MLi @h}4i?| t i@t*) ?ULhTLh@|i_ ? Lh M@tU 4L_i* tt4i |L h4tc 6 @?_ 62c UL4Ti|i ? |i ThL_U| 4@h!i| `i U@? @Mt|h@U| uhL4 |i ?|@* ?it|4i?| ThLM*i4c @?_ @tt4i |@| ?L ?it|4i?| ULt| 4t| Mi ?Uhhi_ |L t|@h| ThL_U|L? | t|@}i c 6h4 U@? Thi) Lh ?L| Thi)( i@U h4<t hi|h? t @ E u Thi_@|L? _Lit E_Lit ?L| LUUhc ihi : @ : f | t|@}i 2c i@U h4 4t| ?it| U ? Lh_ih |L T_@|i |t |iU?L*L}) W?@M*|) |L ?it| uLhUit @ h4 L| Lu |i 4@h!i| | t|@}i c u 62 __ ?L| ?it|c 6 i?L)t i TiU|i_ 4L?LTL*) ThL|t Z ( L|ihtic ML| h4t @i @ t|LU@t|U t|hU|hi Lu hi|h?t @t ? |i M@tU 4L_i*G UL?_|L?@* L? i ih|?} @ } *ii* Lu igLh|c hi|h? t - | ThLM@M*|) R @?_ f | ThLM@M*|) R , TiU|i_ _LTL*) ThL|t @hi |t 2R- Z Ai |4?} t t44@hti_ ? |i uL**L?} }hiG 6}hi e hi)%L| a%% C a ( @ 2 W?it| W O L4Ti|i ! a%% a C (+ f 5|LT E6 }@?t Z 6 t|@h|t |i }@4i | ?L ?@?U@* hitLhUitc M| @| _@|i 2 | U@? ti hi|@?i_ i@h??}t uhL4 _@|i |L@h_t ULih?} |i ULt| Lu ?it|4i?| AihiuLhic _iTi?_?} L? i|ih tLh||ih4 ThL|t ihi *L Lh } | 4t| MLhhL U @ Lh U Ai UhU@* TL?| ihi t |@| hi|@?i_ i@h??}t @hi ? |h? @giU|i_ M) ThL_U| 4@h!i| UL4Ti||L? ) hi_U?} hi|@?i_ i@h??}tc Thi_@|Lh) Th@U|Uit 4@) UL?tt|i?|*) hi_Ui @ h4<t MLhhL?} U@T@U|) `i @tt4i |@|G # U R - R $ U@ Ee Wu Thi_@|L? LUUhtc 62<t ?|ih?@* u?_t @| t|@}i 2 @hi |LL t4@** |L LM|@? i |ih?@* ?@?U?}( UL?ihti*)c ? |i @Mti?Ui Lu Thi_@|L?c 62 ** Mi @M*i |L h@ti u?_t U L? |i U@T|@* 4@h!i| @?_ UL4Ti|i @| _@|i L?|h@h) |L 62c 6 t @ U@thU h4 W| @t i?L} ?@?U@* hitLhUit |L u?_ U ?|ih?@**)c i|ih Thi_@|L? LUUht Lh ?L| ) Thi)?} @| |' | ** Mi @M*i |L _hi 62 L| Lu |i 4@h!i| @?_ i?L) @ 4L?LTL*) hi?| *@|ih AihiuLhi 6 ** Thi) u |i UL?_|L? Z n @ : R- n L*_tc |@| t u |i ULt| Lu Thi)?} t 4Lhi |@? Lgti| M) |i }@? uhL4 MiUL4?} @ 4L?LTL*t| @| |' ui @h|U*it @i uLh4@*3i_ |i *L?} Thti t|Lh)c M) i?_L}i?3?} |i h4t< ?@?U@* t|hU|hi Ai ?@?U@* uh@}*|) |@| 4@!it L?i h4 *?ih@M*i |L Thi _@|L? 4@) Lh}?@|i uhL4 _gihi?| tLhUit W? Lh t4T*i 4L_i* i @tt4i_ |@| ML| h4t @i TL|i?|@* @}i?U) ThLM*i4tc M| |@| 6 t @ U@thU h4c @?_ |t U@? ?@?Ui ?it|4i?| ?|ih?@**) W? 6_i?Mih}AhL*i EbHS ULhTLh@|i U@t L t ?L| ih@M*ic U 4@!it _iM| @? LT|4@* ?@?U@* @hh@?}i4i?| uLh i@U h42 5 Zkhq fdvk rz lv qrw yhuldeoh/ wkh rqo| zd| wr lqgxfh pdqdjhuv wr sd| edfn wkh lqyhvwruv lv wr wkuhdwhq wr oltxlgdwh wkh up li wkh| gr qrw1 Wklv nlqg ri duudqjhphqw lv hdvlo| lqwhusuhwhg D Ai i?|h@?|c |L}c @t @ ?@?U?} hi^hi4i?| *@h}ih |@? |i ?U4Mi?| @?_ |t 4t| tti 4Lhi _iM| i?} 4Lhi *iih@}i_ |@? t h@*c | t i@t*) ?_Ui_ |L _iu@*| L? t _iM| @?_ i | |i 4@h!i| M) Thi_@|Lh) t|h@|i}it |@| _iUhi@ti t U@t L W? L|i? EbHb@c |i @t)44i|h) Mi|ii? @ ?i @?_ it|@M*ti_ h4 | hitTiU| |L Uhi_| U@T@U|) t 4L|@|i_ M) |i *@||ih @?} @ T@t| |h@U! hiULh_ |@| hi_Uit ?Uih|@?|) @ML| |t ^@*|) t |i i?|h@?| @t ?L T@t| |h@U! hiULh_c |t ?@?U@* _iUtL?t @hi UL?t|h@?i_ M) @t)44i|hU ?uLh4@|L? t @ t |i ?it|LhtG |L t}?@* |t ^@*|) |L |i U@T|@* 4@h!i|c @ }@*i i?|h@?| 4t| tti _iM|e Ai it|@M*ti_ h4c ?t|i@_c U@? hitLh| |L i^|) ?@?U?} @t |t @*i t !?L? |L |i U@T|@* 4@h!i| t ? 6_i?Mih}AhL*ic _iM| ?@?U?} 4@!it |i i?|h@?| *?ih@M*i |L Thi_@|L? W? |t @||i4T| |L t|_) L U@T|@* 4@h!i| 4TihuiU|L?t U@? @giU| UL4Ti||L? ? |i ThL_U| 4@h!i|c |i *L?} Thti *|ih@|hi @t it|@M*ti_ @? 4TLh|@?| Th?UT*iG i? h4t @i *4|i_ @UUitt |L Uhi_|c ?@?U@* 4tU*it @hi @ tLhUi Lu UL4Ti||i @_@?|@}i AihiuLhic ?@?U@* u@U|Lht @hi @ UhU@* _i|ih4?@?| Lu ?_t|h) t|hU|hi ~?}@*it EbbH ThL_it tL4i i_i?Ui tTTLh|?} |i _i@ |@| *iih@}i 4@!it @ h4 @ i@! UL4Ti||Lh Oi t|_it |i th@* Lu |hU!?} UL4T@?it @u|ih |i hi}*@|Lh) hiuLh4 |@| LTi?i_ |i N5 |hU!?} ?_t|h) |L UL4Ti||L?c @?_ ?_t |@| *iih@}i ?i}@|i*) @giU|t |i ThLM@M*|) |@| @ h4 thit @u|ih _ihi}*@|L? N?uLh|?@|i*)c |i tLhUi Lu |i LMtihi_ hi*@|L?tT Mi|ii? *iih@}i @?_ th@* t ?L| U*i@h W| 4@) Mi |@| *iih@}i ?_hiU|*) hi_Uit @ h4<t ThLM@M*|) Lu th@* M) i@!i??} |t UL4Ti||i TLt|L?c @t |i *L?} Thti |iLh) Thi_U|t | | t @*tL TLttM*i |@| }*) *iih@}i_ h4t @hi uLhUi_ L| Lu |i 4@h!i| MiU@ti |i) @hi ?@M*i |L ?@?Ui ?i ?it|4i?|t _i |L @ _iM| Lih@?} ThLM*i4 E)ihtc b.. Wu @ h4<t ?@?U@* t|hU|hi U@? @giU| |t ?|ih@U|L? | UL4Ti||Lhtc @ ThL| 4@ 43?} h4 ** |@!i |t ?|L @UUL?| i? |@!?} |t ULhTLh@|i ?@?U?} _iUtL?t Ai LMiU|i Lu |i ?i | tiU|L? t |L ?it|}@|i L |i _it}? Lu ?@?U@* @hh@?}i4i?|t U@? ?U*_i ThL_U| 4@h!i| UL?t_ih@|L?t dv d ghew frqwudfw/ zkhuh wkh lqdelolw| wr uhsd| wuljjhuv ghidxow dqg oltxlgdwlrq1 Iru pruh ghwdlov/ vhh Kduw0Prruh +4<;<,1 6 Wkh lghd wkdw dq hvwdeolvkhg uhsxwdwlrq khosv udlvh h{whuqdo qdqfh lv vwuhvvhg e| Gldprqg +4<<4,1 Li ohqghuv kdyh d eruurzhu*v wudfn uhfrug dw wkhlu glvsrvdo/ wkh| fdq xvh lw wr xsgdwh wkhlu eholhiv derxw wkh eruurzhu*v uholdelolw|/ zklfk lqfuhdvhv wkhlu zloolqjqhvv wr surylgh ixqgv1 Lw lv wkhq olnho| wkdw upv zlwk d orqjhu wudfn uhfrug duh dovr ohvv fuhglw0frqvwudlqhg wkdq qhz upv1 Lq wkhlu hpslulfdo vwxg| ri ohqglqj uhodwlrqvklsv/ Shwhuvhq0Udmdq +4<<7, qg wkdw wkh dydlodelolw| ri qdqfh vljqlfdqwo| lqfuhdvhv zlwk erwk d up*v djh dqg wkh ohqjkw ri lwv fuhglw uhodwlrqvklsv1 7 D vwdqgdug uhvxow lq qdqfldo vljqdoolqj prghov lv wkdw d jrrg eruurzhu pd| vljqdo lwv txdolw| wr ohqghuv e| lvvxlqj ghew1 Iru h{dpsoh/ li d surmhfw pd| |lhog d kljk ru d orz uhwxuq +vxffhhg ru idlo, dqg li wkh suredelolw| ri wkh surmhfw |lhoglqj d kljk uhwxuq lv sulydwh lqirupdwlrq ri wkh eruurzhu/ wkh odwwhu pd| vljqdo wkdw wklv suredelolw| lv kljk e| zulwlqj d frqwudfw wkdw sd|v rxw wkh zkroh surw wr wkh ohqghu lq fdvh ri idloxuh/ l1h1 d ghew frqwudfw1 E| grlqj wklv/ kh vkrzv wkdw kh lv vxflhqwo| frqghqw wkdw wkh surmhfw zloo vxffhhg1 Iru d irupdo wuhdwphqw ri qdqfldo vljqdoolqj/ vhh Urvv +4<::,1 S e 5|h@|i}U tiUh|) _it}? e Ai LT|4@* ?@?U@* hitTL?ti |L Thi_@|L? Ai |hi@| Lu Thi_@|L? U@? Mi *4|i_ |hL} @ *L?} |ih4 UL?|h@U| Mi|ii? |i U@tTLLh h4 @?_ |i ?it|Lh wi| t }L M@U! |L Lh *L?} Thti 4L_i* iuLhi u@U?} 6<t UL4Ti||L? E@?_ TLttM*) Thi_@|L?c 62 @?_ |t ?@?Uih U@? t}? @ *L?}|ih4 UL?|h@U| ihiM) |i ?it|Lh UL44|t |L @*@)t u?_ |i h4 @| t|@}i 2 Lu |i }@4i ? i U@?}i uLh @ hiT@)4i?| - R ? U@ti Lu tUUitt Wu |t UL?|h@U| t LMtih@M*ic | ** _tULh@}i @?) Thi_@|Lh) Mi@Lh Lu |i ?U4Mi?|G Thi)?} L*_ ULt| |i ?U4Mi?| @c M| | L*_ u@* |L _hi 62 L| Lu Mt?ittD L*|L?5U@hut|i? Ebbf tL |@| |t hitTL?ti |L Thi_@|L? 4@) @giU| @}i?U) ThLM*i4t |? |i h4 W? |ih 4L_i*c |i ?@?U@* UL?|h@U| |@| 4?43it @}i?U) ThLM*i4t 4@ 43it h@*t< ?Ui?|it |L Thi) AihiuLhic LT|4@* ?@?U@* UL?|h@U|t hit*| uhL4 @ |h@_iLg Mi|ii? _i|ihh?} Thi_@|L? @?_ 4|}@|?} ?Ui? |i ThLM*i4t |? |i h4 At _i@ t **t|h@|i_ ? |i uL**L?} @h@?| Lu |i 4L_i* wi| t ?|hL_Ui @ uh|ih t|@}i @| U @ 4Lh@* @3@h_ ThLM*i4 @htit |? |i h4c Mi|ii? _@|i f E|i ?@?U@* UL?|h@U|?} t|@}i @?_ _@|i G u 62<t 4@?@}ih Lh!tc |i tLh||ih4 hi|h? | ?L Thi_@|L? t | ThLM@M*|) ^ @?_ @ | ThLM@M*|) ^( u i th!tc i }i|t Th@|i Mi?i| K @?_ |i hi|h? t @ | ThLM@M*|) hi_@|L? ?_Uit |i hi|h? @ hhitTiU|i Lu 4@?@}ih@* igLh| Ai |4i *?i t |ihiuLhiG f L?|h@U| O hi) L| 2 L?|?i a%% C a ( @ O L4Ti|i ! aa%%( C f + 5|LT E6 }@?t Z 6}hi 2 8 Wkh lqyhvwru zloo dffhsw vxfk d frqwudfw= dv suhgdwlrq zloo qrw rffxu lq htxloleulxp/ kh h{shfwv wr glvexuvh L D / zklfk lv vpdoohu wkdq wkh lqyhvwru*v h{shfwhg uhwxuq . s U Es + ,1 W_i@**)c |i LT|4@* ?@?U@* @hh@?}i4i?| L*_ |@!i U@hi Lu |i h4<t @}i?U) ThLM*i4 W? @ *L?} |ih4 Uhi_| hi*@|L?tTc _@|if igLh| U@? Mi ?_Ui_ |hL} @ UL44|4i?| |L |ih4?@|i u?_?} u |i h4<t tLh| |ih4 TihuLh4@?Ui t TLLh Lhi uLh4@**)c UL?t_ih |i uL**L?} U*@tt Lu UL?|h@U|tG Ai h4 t hi?@?Ui_ @| _@|i2 | ThLM@M*|) u _@|i ThL| t @?_ | ThLM@M*|) % u |t ThL| t @ 62<t 4@?@}ih hiUiit @ T@)4i?| R u 62 t hi?@?Ui_ @?_ tUUii_t @| |'c @?_ f L|ihti ? LT|4@* UL?|h@U| Mi*L?}t |L |t U*@tt @?_ ti|t |i ThLM@M*|) Lu hi?@?U?} %W tU @t |L 4@ 43i 62<t ?i| Thiti?| @*i EUL?_|L?@* L? |i 4@?@}ih Lh!?}GS d^ n E ^@o n d^ n E ^%oER- U ED ?_ih |i uL**L?} UL?t|h@?|tG EUf d^ n E ^%o % n K ES At UL?t|h@?| i?thit |@| |i 4@?@}ih Lh!t @| _@|i f Ai *iu|@?_ t_i t |i h4<t i TiU|i_ T@)Lg uhL4 Lh!?}G u Thi_@|L? _Lit ?L| LUUh @?_ 62 Lh!t @| |'fc |i h4 t hi?@?Ui_ | ThLM@M*|) d^ nE^%o Atc | thit |L _@|i c i? | }i|t @ T@)Lg R | ThLM@M*|) R Ai h}|@?_ t_i t |i h4<t T@)Lg uhL4 th!?} @| |'fG u |i h4 th!tc | i?L)t Th@|i Mi?i| K |L_@)c @?_ | ThLM@M*|) % | thit |L _@|i c i? | }i|t @ T@)Lg R | ThLM@M*|) R Ai tiUL?_ UL?t|h@?| tG E d^ n E ^%oR- n E ^E %Z n %R- n E %Z n @ E. At UL?t|h@?| i?thit |@| |i h@* _Lit ?L| Thi) `| ?L Thi_@|L? E@?_ 62 Lh!?}c 6 i@h?t _LTL*) ThL|t T+ | ThLM@M*|) d^ n E ^%oc @?_ i?L)t 4L?LTL*) ThL|t Z | ThLM@M*|) E ^E % *tLc | i@h?t |i tLh||ih4 hi|h? Wu ?t|i@_ | Thi)tc 6 i TiU|t |L u@Ui UL4Ti||L? | ThLM@M*|) %( Liihc Thi_@|L? hi_Uit 6<t tLh||ih4 hi|h? |L @ 5|_)?} |i @MLi UL?t|h@?|tc @ TL|i?|@* UL?U| Mi|ii? @}i?U) ThLM*i4t @?_ t|h@|i}U LMiU|it i4ih}it ? |i L?i @?_c |i ?Ui?|i UL?t|h@?| hi^hit @ |L} |ih4?@|L? |hi@| E% tUi?|*) t4@**( L? |i L|ih @?_c Thi_@|L? t _i |ihhi_ u hi?@?U?} t ?L| |LL ti?t|i |L tLh| |ih4 TihuLh4@?Ui E% ?L| |LL t4@** At |i?tL? U@T|hit |i M@tU |h@_i Lg ? L*|L?5U@hut|i?<t 4L_i* `i? |i @}i?U) ThLM*i4 @?_ |i Thi_@|Lh) |hi@| @hi ?L| |LL tihLtc |ihi i t|t @? LT|4@* UL?|h@U| |@| t@|tit ML| |i ?Ui?|i UL?t|h@?| @?_ |i ?LThi_@|L? UL?t|h@?| 9 Wkh lqfhqwlyh srzhu ri wkh whuplqdwlrq wkuhdw ghshqgv rq lwv fuhglelolw|/ wkdw lv rq wkh frqwudfw ehlqj %uhqhjrwldwlrq0surri%1 Zh devwudfw khuh iurp wklv sureohp e| dvvxplqj wkdw uhqhjrwldwlrq lv qrw ihdvleoh dw vwdjh 51 H |ihtic |i ?@?U@* UL?|h@U| 4t| *i@i |i @}i?U) ThLM*i4 ?tL*i_ ? Lh_ih |L _i|ih Thi_@|L?. e2 6?@?U@* UL?|h@U|t @t t|h@|i}U UL44|4i?|t 6?@?U@* UL?|h@U|t 4@) @*tL Mi ti_ @t t|h@|i}U UL44|4i?|t |L |@!i @U|L?t |@| @hi LT|4@* i @?|i M| ?L| i TLt| At ui@|hi Lu ?@?U@* UL?|h@U|?} i4ih}it L?Ui |t t 4L_i*i_ @t |i ht| t|@}i Lu @ _i*i}@|L? }@4iH L?t_ih |L h4t T*@)?} @ |Lt|@}i }@4iG @| |i ht| t|@}ic i@U h4 _it}?t |t ?@?U@* t|hU|hic @| |i tiUL?_t|@}i h4t UL4Ti|i L? |i ThL_U| 4@h!i| @h!i| t|h@|i}it @hi ULti? M) |i h4t< 4@?@}ihtt@hiL*_ihtc L @hi hit_@* U*@4@?|t |L |i h4t< ThL|t @u|ih L|t_i ?@?U@* U*@4t @hi T@_ Ai t@Ti Lu |i 4@?@}iht< LMiU|i u?U|L?tc @?_ |t Lu |i hi@U|L? u?U|L?t ? |i tiUL?_t|@}i 4@h!i| }@4ic t 4T*U|*) ULti? @| |i ht| t|@}ic i? L|t_i ?@?U@* U*@4t @hi _it}?i_ At 4T*it |@|c M) UL44||?} |L LMtih@M*i ?@?U@* UL?|h@U|tc h4t U@? ThiUL44| |L ThL_U| 4@h!i| t|h@|i}itc @?_ |t @giU| |i L|UL4i Lu |i 4@h!i| }@4ib h@?_ihwit EbHS @||hM|i tU @ t|h@|i}U ThLTih|) |L _iM| ?@?U?} Ai) @h}i |@| L*}LTL*t|U h4t 4@) tti _iM| ? Lh_ih |L UL44| |L 4Lhi @}}hitti L|T| t|h@|i}it W| t @ i**!?L? u@U| |@| ? @ Lh?L| }@4i h4t L*_ *!i |L ThiUL44| |L }^@?||) hitTL?tit t?Ui |t U@tit h@*t |L ThL_Ui *itt @| i^*Mh4 #iM| ?@?U?} t @ @) |L @Uii |t UL44|4i?|c L?} |L |i *4|i_ *@M*|) igiU|G @t h4t |@!i L? _iM|c |ih 4@?@}iht Mi?} hit_@* U*@4@?|t Lih |i h4<t ThL|t t| 4@ 43i i^|) @*i @t LTTLti_ |L |L|@* @*i At |i) Thiuih L|T| t|h@|i}it |@| h@ti hi|h?t ? }LL_ t|@|it @?_ d lv vdwlvhg/ wkhq wkh rswlpdo suredelolw| ri irupdoo|/ li wkh frqglwlrq Ee ? PDsU e 1 Rwkhuzlvh/ suhgdwlrq fdq rqo| eh uhqdqflqj { vdwlvhv erwk frqvwudlqwv dqg lv htxdo wr 4 tE ghwhuuhg dw wkh h{shqvh ri gdwh03 hruw1 Lq d pruh jhqhudo prgho/ wkh rswlpdo frqwudfw pd| ru pd| qrw ghwhu suhgdwlrq +dqg ohdyh wkh djhqf| sureohp xqvroyhg, dffruglqj wr wkh uhodwlyh lpsruwdqfh ri wkhvh wzr sureohpv1 ; Lq d ghohjdwlrq jdph/ frpshwlqj sulqflsdov %fkrrvh d frpshqvdwlrq vfkhph iru wkhlu djhqwv/ zkloh wkhvh odwwhu sod| d jdph rq ehkdoi ri wkh sulqflsdov1 Wkh sd|rv ri doo sod|huv duh gh0 whuplqhg e| wkh dfwlrqv fkrvhq e| wkh djhqwv1 Wkh sulqflsdov fdq lqxhqfh wkh rxwfrph ri wkh jdph lqgluhfwo|/ e| vkdslqj wkhlu rzq djhqw*v uhdfwlrq ixqfwlrq wkurxjk wkh ghvljq ri dq lqfhqwlyh vfkhph/ zklfk ehfrphv sxeolf lqirupdwlrq rqfh fkrvhq%1 Iru wklv ghqlwlrq/ dv zhoo dv iru d jhqhudo fkdudfwhulvdwlrq ri htxloleuld lq ghohjdwlrq jdphv/ vhh Sror0Whghvfkl +4<<:,1 < Wkh lghd wkdw pdqdjhuldo lqfhqwlyhv pd| eh xvhg dv vwudwhjlf wrrov lv h{soruhg e| Ihuvkwpdq0 Mxgg +4<;:,1 Wkh| vwxg| wkh lqfhqwlyh frqwudfwv wkdw sulqflsdov +rzqhuv, zloo fkrrvh iru wkhlu djhqwv +pdqdjhuv, lq dq roljrsrolvwlf frqwh{w1 Dw htxloleulxp/ surw0pd{lplvlqj rzqhuv zloo glvwruw wkh pdqdjhuv* lqfhqwlyhv iurp surw pd{lplvdwlrq/ zkhq frpshwlqj pdqdjhuv revhuyh wkhvh lqfhqwlyhv1 Wkh qdwxuh ri wkh ghvluhg glvwruwlrq fulwlfdoo| ghshqgv rq wkh qdwxuh ri roljrsrolvwlf frpshwlwlrq1 Iru h{dpsoh/ li upv frpshwh lq txdqwlwlhv/ d up*v rzqhu zloo jlyh klv pdqdjhu h{wud lqfhqwlyhv wr surgxfh/ dv wklv zloo fdxvh frpshwlqj upv wr uhgxfh wkhlu surgxfwlrq1 E| frqyhuvh/ li upv frpshwh lq sulfhv/ hdfk rzqhu zloo zdqw klv pdqdjhu wr vhw d kljk sulfh/ dv wklv fdxvhv frpshwlqj pdqdjhuv wr dovr udlvh sulfhv1 : Pruh b *Lih hi|h?t ? M@_ t|@|it Wu |i 4@h}?@* hi|h?t uhL4 L|T| @hi *@h}ih ? }LL_ t|@|itc |i? |i ^@?||) |@| 4@ 43it |i @*i Lu |i 4@?@}ih<t i^|) L*_?}t t *@h}ih |@? |i @*i4@ 43?} ^@?||) AL U*@hu) |t TL?|c UL?t_ih @ t4T*i_ ihtL? Lu h@?_ihwit< |Lt|@}i L*}LTL*) }@4i AL h4tc 6 @?_ 62c @hi h@*t ? |i ThL_U| 4@h!i| | _@|i c h4t UL44| t4*|@?iLt*) |L _iM| *ii*t ( @?_ (2 | _@|i 2c Lh?L| UL4Ti||L? |@!it T*@Ui L? |i ThL_U| 4@h!i| h4<t ThL| t - E^ c ^ c w c ihi ^ t h4 <t L|T| @?_ w t @ h@?_L4 tLU! |@| t hi@*3i_ @u|ih ThL_U|L? *ii*t @hi ULti? w @?_ w @hi _ h@?_L4 @h@M*it( |i @*i t } EO | ThLM@M*|) R @?_ *L Ew | ThLM@M*|) R } w hiThiti?|t <}LL_ ?it< @ML| h4 <t ThL| E- t ?Uhi@t?} ? w AL 4@? @tt4T|L?t @hi ?ii_i_G E Y 2 - Y^ Y^ f |@| tc h4t UL4Ti|i ? t|h@|i}U tMt|||itc @?_ E2 Y- EM Y^ : Y- Eu Y^ |@| tc 4@h}?@* ThL| t ?Uhi@t?} ? |i h@?_L4 tLU! t t|@?_@h_ ? L*}LTL*) 4L_i*tc | t @*tL @tt4i_ |@| 4@h}?@* ThL| t _iUhi@t?} ? |i h4<t L|T| 6h4 <t i TiU|i_ ThL| tG R- E^ c ^ c M n E R- E^ c ^ c u EH AihiuLhic uLh @? @**i^|) h4 |i ht| Lh_ih UL?_|L? uLh |i L|T| ULUi tG Y- EM Y- Eu n E R 'f Eb Y^ Y^ 5TTLti |@| uLh tL4i hi@tL? |i h4 |@!it L? ht!) _iM| ( At 4i@?t |@| - E^ c ^ c u ( - E^ c ^ c Mc uLh @?) ULT*i ^ c ^ At i? |i *L t|@|i LUUht |i h4 _iu@*|t @?_ T@)t L| @** |t i@h??}t |L _iM|L*_iht i?} hit_@* U*@4@?|t Lih |i h4<t ThL|tc t@hiL*_iht ULLti |i h4<t ThL_U|L? *ii* M) 4@ 43?} |i @*i Lu |ih i^|)L*_?}G R d- E^ c ^ c M ( o Ai? |i ULUi Lu L|T| uLh h4 t }i? M) |i UL?_|L?G R Y- EM 'f Ef Y^ 6hL4 @tt4T|L? 2c |t UL?_|L? )i*_t @ }ih L|T| ULUi |@? |i Thi Lt L?i t 4@?@}iht ULLti L|T| |@!?} ?|L @UUL?| L?*) |i } 4@h}?@* ThL| t|@|ic @ *iih@}i_ h4 @t @? ?Ui?|i |L ULLti @ }ih L|T| |@? @? @** i^|) h4 t *iih@}i ThL_it @ UL44|4i?| |L 4Lhi @}}hitti L|T| t|h@|i }itc @| i^*Mh4 ML| h4t tti _iM| t @ UL?ti^i?Uic |i 4@h!i| L|UL4i t R f 4Lhi UL4Ti||i @?_ ML| h4t i?_ T Mi?} Lhti Lg |@? u |i) ihi Thii?|i_ uhL4 MLhhL?} MLt*)c |i @MLi hit*|t UhU@**) _iTi?_ L? |i @tt4T|L? |@| 4@h}?@* ThL|t @hi }ih ? }LL_ t|@|it Lu |i Lh*_ OLiihc ? @ Lh?L| }@4ic |t @tt4T|L? tii4t ^|i hi@tL?@M*i E| L*_t i|ih u w t ?|ihThi|i_ @t @ TLt|i tu| ? |i h4<t _i4@?_ u?U|L?c Lh @t @ ?i}@|i tu| ? |i h4<t ULt| u?U|L? h@?_ihwit< 4L_i* @t Mii? Uh|U3i_ L? tiih@* }hL?_t Ai Thi_U|L? |@| h4t ** Thiuih _iM| ?@?U?} t|hL?}*) _iTi?_t L? |i u@U| |@| t|h@|i}U LMiU|it @hi |i L?*) _i|ih4?@?| Lu ?@?U@* _iUtL?t Ai TL|i?|@* |h@_iLg Mi|ii? t|h@|i}U LMiU|it @?_ ?Ui?|it |@| U@h@U|ihtit L*|L?5U@hut|i?<t Ebbf 4L_i* t UL4T*i|i*) ?i}*iU|i_ ? |ih @?@*)tt W? @ ti?tic |t uLUt L? t|h@|i}U LMiU|it t @*tL @ 4ih|G | @**Lt |L tL |@| ThL_i_ ThL_U| 4@h!i|t @hi 4TihuiU|*) UL4Ti||i ii? |L| Uhi_| 4@h!i| 4TihuiU|L?t @ h4<t ?@?U@* t|hU|hi t ?L| hhi*i@?|c i L_}*@?**ih EbDH |iLhi4 _Lit ?L| @TT*) 5iUL?_*)c @t ? @?) _i*i}@|L? }@4ic |i 4@? hit*|t L*_ ?_ih |i hit|hU |i @tt4T|L? |@| @}i?|t< UL?|h@U|t @hi LMtih@M*i @?_ ?L| hi?i}L|@M*i W? |i h@?_ihwit< }@4ic |i UL44|4i?| @*i Lu _iM| ?@?U?} L*_ Mi ?_ih4?i_ M) |i TLttM*|) Lu hi?i}L|@|L?G u |i |L h4t UL*_ tiUhi|*) M) M@U! _iM| t| ThLh |L ULLt?} |ih L|T|tc |i) L*_ hiThU@ti @** Lu |c |t UL4T*i|i*) ? _L?} |i i @?|i UL44|4i?| 6*}ih@}@h@@? Ebb2 t}}it| |@| @t)44i| hU ?uLh4@|L? Mi|ii? |i h4 @?_ |i ?it|Lh 4@) ThiU*_i _iM| hi?i}L|@|L?c 4@!?} _iM| UL?|h@U|t @ Uhi_M*i UL44|4i?| 6?@**)c |i ?@|hi Lu |i hit*|t Uh|U@**) _iTi?_t L? |i 4L_i Lu UL4Ti||L? |? |i ?_t|h) At t @ uh|ih tLh|UL4?} Lu _i*i}@|L? }@4itc ihi _u uihi?| hit*|t i4ih}i @UULh_?} |L i|ih h4t UL4Ti|i ? t|h@|i}U tMt|||it @?_ |t @?| |L UL44| |L 4Lhi @}}hitti 4@h!i| t|h@|i}it Lh |i) UL4Ti|i ? t|h@|i}U UL4T*i4i?|t @?_ |t @?| |L UL44| |L 4Lhi uhi?_*) t|h@|i}itf 5L@*|ih EbbD t|_it |i ?Ui?|it |L tti t|h@|i}U _iM| i? h4t UL4Ti|i ? ThUit Ei t|h@|i}U UL4T*i4i?|t Oi tLt |@| ? |t UL?|i |c i|ih Lh ?L| h4t ULLti |L tti t|h@|i}U _iM| _iTi?_t L? |i |)Ti Lu ?Uih|@?|) |@| i t|t ? |i L|T| 4@h!i| `i? _i4@?_ t ?Uih|@?c 4@h}?@* ThL|t @hi }ih ? |i }LL_ t|@|i Lu ?@|hi( |tc @ *iih@}i_ h4 ULLtit @ }ih i^*Mh4 ThUi W? |t UL?|i |c _iM| U@hhit @ TLt|i t|h@|i}U igiU|c ?_U?} |i h4<t h@* |L @*tL h@ti |t ThUi Wu ?t|i@_c |i ?Uih|@?|) t L? |i h4<t ULt|c _iM| _Lit ?L| @i @ t|h@|i}U @_@?|@}i W? |t U@tic 4@h}?@* ThL|t @hi *Lih i? ULt|t @hi *L Ei ? |i }LL_ t|@|i Lu ?@|hi AihiuLhic @ *iih@}i_ h4 ULLtit @ *Lih i^*Mh4 ThUi At UL44|4i?| igiU| Lu _iM| t ?_ith@M*ic @t | ?_Uit |i 43 Wzr upv frpshwh lq vwudwhjlf vxevwlwxwhv +frpsohphqwv, li wkhlu uhdfwlrq ixqfwlrqv duh grzq0 zdug +xszdug, vorslqj1 Wklv ghqlwlrq lv gxh wr Exorz0Jhdqdnrsorv0Nohpshuhu +4<;8,1 Iru pruh ghwdlov/ vhh Wluroh +4<;;,/ Wkh Wkhru| ri Lqgxvwuldo Rujdql}dwlrq/ ss153:053;1 h@* |L @*tL _iUhi@ti |t ThUi i@*ih5U@hut|i? EbbS @i @ 4L_i* |@| t@hit | h@?_ihwit |i _i*i}@|L? }@4i t|hU|hic M| ihi h4t UL4Ti|i ? t|h@|i}U UL4T*i4i?|t @| |i tiUL?_ t|@}i | |t t|@}ic h4t< ThU?} _iUtL?t |h@_i Lg Uhhi?| ThL| 4@ 43@|L? @}@?t| |i LMiU|i Lu M*_?} 4@h!i| t@hi( |t tiUL?_ LMiU|i ?_Uit 4Lhi @}}hitti ThU?} t|h@|i}it |@? ? @ t|@?_@h_ ih|h@?_ }@4i ) tt?} _iM| @ h4 MiUL4it 4Lhi tLh| t}|i_c @?_ |t *itt ?U*?i_ |L ?it| ? 4@h!i| t@hi Atc _iM| ?@?U?} *i@_t |L }ih ThUit Ei tu|t |i h4t< hi@U|L? u?U|L?t L|@h_t @?_ @ *itt UL4Ti||i L|UL4i At 4T*it |@|c @t ? h@?_ihwitc h4t 4@) ULLti _iM| ?@?U?} uLh t|h@|i}U hi@tL?t Aihi tc Liihc @ t@hT _gihi?Ui Mi|ii? |i |L 4L_i*t W? h@?_ihwitc *iih@}i L?} |L |i *4|i_ *@M*|) igiU| |L}i?t ThL_U| 4@h!i| UL4Ti||L? i@*ih5U@hut|i?<t i4ThU@* Thi_U|L? t |@| ?Uhi@ti_ *iih@}i }?} tLh| t}|i_ ?Ui?|it |L 4@?@}iht 4@!it UL4Ti||L? tLu|ih , t|?} i4ThU@* Lh!t ThL_i @? ?_hiU| |it| |L _tUh4?@|i Mi|ii? |i |L |iLhit i@*ih EbbD t|_it |i igiU| Lu _iM| L? ThL_U| 4@h!i| UL4Ti||L? ? |i tTih4@h!i| ?_t|h) Oih @TThL@U UL?tt|t ? LMtih?} L UL4Ti||Lht hi@U| |L @ h4 ?_ih}L?} @ *iih@}i_ M)L| Ew 5i ?_t |@| @ h4<t w @??L?Ui4i?| U@tit |i h@*t< t|LU! ThUi |L hti( | @*tL ?_Uit i T@?tL? @?_ i?|h) Lu ?i UL4Ti||Lhtc t}}it|?} |@| h@*t TihUii @ *iih@}i_ h4 @t @ i@!ih UL4Ti||Lh At i_i?Ui t UL?tt|i?| | |i i@*ih5U@hut|i? 4L_i*c *i hiiU|?} h@?_ihwit< |iLh) ThLM*i4 | i@*ih<t i4ThU@* |it| t |@| U@T|@* t|hU|hi _iUtL?t E? |t U@tic |i _iUtL? |L ?_ih|@!i @? w @hi i?_L}i?Lt |L |i UL4Ti||i i?hL?4i?|c tL | t _U*| |L t@) i|ih | t U@T|@* t|hU|hi |@| @giU|t UL4Ti||L? Lh h@|ih |i UL4Ti||i i?hL?4i?| |@| ?_Uit @ }i? U@T|@* t|hU|hi 4Lhi h}LhLt i4ThU@* @TThL@U UL? tt|t ? t|_)?} |i ThL_U| 4@h!i| hitTL?ti |L i L}i?Lt ii?|t |@| 4TLti_ @ U@?}i ? h4t< ?@?U@* t|hi?}| Nt?} |i t@4i ti| Lu _@|@c i@*ih5U@hut|i? EbbS |it| |ih |iLh) M) *LL!?} @| |i ThUi hitTL?ti |L hiUittL?t |@| hi_Ui_ tTih4@h!i| U@?t< *^_|) UULh_?} |L |i |iLh)c }*) *iih@}i_ tTih4@h !i| U@?t tL*_ hitTL?_ |L @ hiUittL? M) ?Uhi@t?} ThUitc @t |i MLLt| ?Uhi@tit |ih ThLM@M*|) Lu _iu@*| At Thi_U|L? t UL?h4i_ M) |i i4ThU@* ?_?}t ? |i T@Tih2 44 Ohyhudjhg upv duh pruh vkruw0whup rulhqwhg dv wkh| pd| eh xqdeoh wr sd| edfn ghew/ dqg wkxv idfh d srvlwlyh suredelolw| ri ehlqj oltxlgdwhg lq wkh ixwxuh1 45 Wkh dsshdo ri wklv hylghqfh lv wkdw lw vxssruwv d wkhru| ri frxqwhuf|folfdo pdunxsv= pdunxsv duh lqfuhdvhg gxulqj errvwv ehfdxvh/ iru qdqfldoo| frqvwudlqhg upv/ wkh lqfhqwlyh wr sulfh iru pdunhw vkduh lv uhgxfhg dv wkh| shufhlyh d kljkhu suredelolw| ri ghidxow1 2 e @T|@* t|hU|hi @?_ |@U| UL**tL? W? @ hiTi@|i_ L*}LTL*) 4L_i*c @!t4LU EbHH tLt |@| _iM| hi_Uit h4t< @M*|) |L UL**_ic @?_ |t |L}i?t ThL_U| 4@h!i| UL4Ti||L? t ? h@?_ih wit EbHSc |t hit*| t _i |L |i *4|i_ *@M*|) igiU| i** !?L? hit*| ? |i W *|ih@|hi t |@| ? @? ??|i*) hiTi@|i_ Lh?L| 4L_i*c |@U| UL**tL? U@? Mi tt|@?i_ ? @ tM}@4i TihuiU| i^*Mh4 ? U i@U h4 hiih|t |L |i Lh?L| L|T| uLhiih @u|ih @ h4 _i@|it uhL4 |i UL**ti @}hii4i?| w4|i_ *@M*|)c M) ThL|iU|?} 4@?@}iht uhL4 |i ThUi^@?||) @h |h}}ihi_ M) @ _i@|L?c 4@!it _i@|L? hi*@|i*) 4Lhi @||h@U|ic @?_ UL**tL? 4Lhi _U*| |L tTTLh| L?t_ih 2 _i?|U@* h4t UL4Ti|?} ? @? ??|i*)hiTi@|i_ Lh?L| L*}LTL*) wi| o Mi |i _tUL?| h@|ic Z |i TihTihL_ ThL| i? h4t t|U! |L |i UL**ti @}hii4i?|c Z ( |i L?iTihL_ ThL| uhL4 _i@|?} i? h@*t UL**_ic @?_ Z |i TihTihL_ ThL| i? |i @tLh?L| i^*Mh4 t T*@)i_ L?t_ih ht| |i U@ti Lu ?*iih@}i_ h4t Ai? |i UL**ti @}hii4i?| U@? Mi tt|@?i_ u ?i| tLh|h? }@?t uhL4 _i@|?} @hi ?L| *@h}ih |@? _tUL?|i_ *Lttit uhL4 |i T?t4i?| T@tic |@| tc uG Z Z ( Z Z o E U t |hi u o o ' ZZ(33ZZ At UL?_|L? 4t| Mi 4L_i_ uLh @ *iih@}i_ h4c ihi 4@?@}iht 4@ 4ti |i @*i Lu i^|) 5TTLti |i h4 @t MLhhLi_ @? @4L?| U @}@?t| |i LM* }@|L? |L T@) ML?_L*_iht @? @4L?| K ? iih) TihL_c | K : Z Ai?c |i UL?_|L? uLh |i UL**ti @}hii4i?| |L Mi tt|@?i_ M) |h}}ih t|h@|i}it MiUL4itG Z K Z( Z E2 o Lh i^@*i?|*)c o o W ' ZZ( 33ZK At UL?_|L? t t|hU|ih |@? UL?_|L? E LhiLihc o W t _iUhi@t?} ? Kc i |@U| UL**tL? MiUL4it 4Lhi _U*| |L tT TLh| @t |i h4<t *iih@}i ?Uhi@tit Ai ?||L? uLh |t hit*| t |i uL**L?} W? |i T?t4i?| T@tic ThL|t Z @hi tL *L @t |L _hi |i h4 M@?!hT| @?_ |i 4@?@}ih<t T@)Lg |L 3ihL OLiihc *4|i_ *@M*|) 4T*it |@| ?Uhi@t?} |i @4L?| Lu _iM| K @MLi Z U@??L| hi_Ui uh|ih |i T?t4i?| T@)Lg uLh |i 4@?@}ih +@|ihc | hi_Uit |i 4@?@}ih<t T@)Lg uhL4 UL**tL?c Z K t @ UL? ti^i?Uic @? ?Uhi@ti ? |i TihTihL_ _iM| LM*}@|L? K U@? L?*) 4@!i _i@|L?t 4Lhi @||h@U|i uLh |i 4@?@}ihc @?_ |@U| UL**tL? 4Lhi _U*| |L tTTLh| @! t4LU _i?|it tiih@* ?@?U@* ?t|h4i?|tc tU @t @hh@?|tc UL?ih|M*i _iM| @?_ __i?_ hit|hU|L?tc |@| U@? 4L_ih@|i |t ThLUL4Ti||i igiU| Lu _iM| M) UL44||?} |i 4@?@}ihtt@hiL*_iht |L @ 4Lhi UL?tih@|i Mi@Lh 46 Iru pruh pruh rq wklv/ vhh Juhhq0Sruwhu +4<;7,1 W? @ ih) hiUi?| T@Tihc 5T@}?L*L EbbH t|_it L |i ULUi Lu @ 4@?@}ih @?_ |i _it}? Lu 4@?@}ih@* ?Ui?|it @giU| |i h4<t @M*|) |L tTTLh| |@U| UL**tL? ? @!t4LU<t 4L_i* Oi @h}it |@| t@hiL*_iht U@? UL44| |L @ UL?tih@|i Mi@Lh M) h?} @ 4@?@}ih | @ @*@M*i hiT|@|L? Lh M*_?} *LTLihi_ 4@?@}ih@* ?Ui?|it At UL44|4i?| t @ t _iM|L*_iht @*tL u@U*|@|it |@U| UL**tL? ? |i ThL_U| 4@h!i| }*) hiT|i_ 4@?@}ih @t 4U |L *Lti uhL4 M@?!hT|U)c @?_ |t ** t|U! |L |i UL**ti @}hii4i?| ? Lh_ih |L @L_ |i T?t4i?| T@ti |@| ThLL!it M@?!hT|U) LhiLihc u |i 4@?@}ih t T@_ @ i_ @}i `c T*t @ ML?t i?iih ThL|t @hi }ih |@? Z c i @t ?L ?Ui?|i |L _i@|i uLh @?) _tUL?| h@|iG t ?i| tLh|h? }@? uhL4 _i@|L? t 3ihL E@t i i@h?t ` n ML| i? _i@|?} @?_ i? UL**_?}( ihi@tc t _tUL?|i_ *Ltt uhL4 |i T?t4i?| T@ti t o 5T@}?L*L @h}it |@| |t hit*| U@? i T*@? ai?ti?hT)<t Ebbf i_i?Ui L? |i hi*@|i*) *L TLih Lu hi@* Lh*_ 4@?@}ih@* ?Ui?|i tUi4itG i? L*}LTL*it Tihtt| Lih |4ic *L TLihi_ ?Ui?|itc Mit_it hi_U?} |i @}i?U) ULt| Lu ?@?Uic @*tL 4@ 4ti h4t< @*i M) @**L?} }ih EUL**ti ThL| t|hi@4t |L Mi tTTLh|i_ ? i^*Mh4 ThLM*i4 | |i @MLi hi@tL??} t |@|c @t ? _i*i}@|L? }@4itc 4@?@}ih@* ?Ui?|it @hi ?L| Uhi_M*i UL44|4i?|t tt4i @ h4<t t@hiL*_iht _it}? @ 4@?@}ih@* ?Ui?|i tUi4i |@| 4@!it |i 4@?@}ih t|hU|*) Thiuih UL**tL? |L _i@|L? EuLh ?t|@?Uic |i ML?t UL?|h@U| @MLi Ai?c u UL?_|L? E _Lit ?L| L*_ E|@| tc _i@|?} ?Uhi@tit @ h4<t @*ic ? @?) TihL_ t@hiL*_iht @i @? ?Ui?|i |L tiUhi|i*) hi?i}L|@|i |t UL?|h@U| @?_ ?_Ui |i 4@?@}ih |L _i@|i uhL4 |i UL**ti @}hii4i?| Ai TLttM*|) Lu hi?i}L|@|L? _it|hL)t |i UL44|4i?| |L @ UL**ti Mi@Lh t @ t |i ThL_U| 4@h!i| h@* 5T@}?L*L t}}it|t |@| tt?} _iM| |L @ UL44L? *i?_ih @?_ UL?uihh?} 4 |i uLh4@* h}| |L UL?|hL* 4@?@}ih@* UL?|h@U|t t @ @) |L hit|Lhi |i UL44|4i?| |L |@U| UL**tL? 5TTLti ML| UL4Ti|?} h4t tti _iM| |L *i?_ih w @?_ ti| T |i ThLUL**ti 4@?@}ih@* UL?|h@U| Ai?c u L?i h4 _i@|it |i *i?_ih ** *Lti uhL4 ML| MLhhLihtc @?_ |ihiuLhi i ** Mi LTTLti_ |L @?) hi?i}L|@|L? Lu 4@?@}ih@* UL?|h@U|t *i@_?} |L ?*@|ih@* _i@|L?t Ai _i@ |@| @ UL44L? *i?_ih 4@) u@U*|@|i UL**tL? ? |i ThL_U| 4@h!i| t i T*Lhi_ ? 4Lhi _i|@* ? tiU|L? . D 6?@?Ui @?_ |i ?@|hi Lu UL4Ti||L? Ai 4L_i*t thi)i_ tL u@h @tt4i @ T@h|U*@h 4L_i Lu UL4Ti||L? ? |i ThL_U| 4@h!i| @?_ t|_) |i 4T@U| Lu h4t< U@T|@* t|hU|hi L? |i UL4Ti||i?itt Lu |i ?_t|h) N?uLh|?@|i*)c |t @TThL@U }i?ih@|it ih) UL?|i |tTiUU hit*|t uh|ih t|iT UL?tt|t ? i?_L}i?t?} |i 4L_i Lu UL4Ti||L? @4L?} h4t W? @ ih) hiUi?| T@Tihc }L?#i@|hTL?|+i) EbbH @h}i |@| |i ih) ?@|hi Lu t|h@|i}U ?|ih@U|L? t ?i?Ui_ M) |i h4t< ?ii_t uLh L|t_i ?@?Ui W? |ih T@Tihc |i ?ii_ uLh L|t_i ?@?Ui ?|ih@U|t | ThL_U| 4@h!i| Mi@Lh ? @ ?L?4L?L|L?U e @) UULh_?} |L |i *ii* Lu L|t_i ?@?Ui hi^hi_ EU c @ h4 t tMiU| |L |L hi}4it h4 | @ t4@** ?@?U@* ?ii_t t ? @ th!?} hi}4iG ihi @ t4@** ?Uhi@ti ? |i *ii* Lu L|t_i ?@?Ui 4@!it |i h4 @ i@!ih UL4Ti||Lh LhiLihc @ |L}ih UL4Ti||Lh 4@!it |i h4 tLu|ihc i h4t UL4Ti|i ? t|h@|i}U tMt|||it h4 | *@h}i ?@?U@* ?ii_t t ? @ ML?_?} hi}4iG ihi @ t4@** ?Uhi@ti ? |i *ii* Lu L|t_i ?@?Ui 4@!it |i h4 @ |L}ih UL4Ti||Lh W? |t hi}4i h4t UL4Ti|i ? t|h@|i}U tMt|||itc |@| tc @ |L}ih UL4Ti||Lh 4@!it |i h4 |L}ih tt4?} |L t)44i|hU h4tc |i T@Tih<t Thi_U|L?t @hi t44@hti_ @t uL* *LtG 5h!?} L?_?} U % ` e@& A J} L4Ti||L? 7|o@| rKr| 7|o@| SJ6R, }L?#i@|hTL?|+i) @?@*)ti @ |Lt|@}i }@4i | t|@}i c h4t h|i ?@?U@* UL?|h@U|t ELh i^@*i?|*)c 4@?@}ih@* ?Ui?|it @hi ti| T @?_ LM|@? u?_t U | t|@}i 2c +:# UL4Ti||L? |@!it T*@Uic hi|h?t @hi hi@*ti_c @?_ h4t< 4@?@}iht @hi T@_ Ai t|h@|i}U @h@M*i t +:# igLh| e ,gLh| t ?L?ih@M*ic @?_ | ?Uhi@tit |i ThLM@M*|) Lu ??L@|L?G REe ' e Wu ML| h4t 4@!i @? ??L@|L?c |i? ih|h@?_ UL4Ti||L? _hit 4@h!i| ThL|t |L 3ihL AihiuLhic @ h4 hiUiit |i ??L@|L? ThL| - u @?_ L?*) u | t |i tL*i ?i?|Lh ? |i ?_t|h)c f L|ihti ?@?U@* UL?|h@U| tT*|t |i hi|h? ? U@ti Lu tUUitt Mi|ii? |i h4 E-K c @?_ |i ?it|Lh E- -K Ai h4 t h? M) @ ht! ?i|h@* 4@?@}ihc Lti Th@|i ULt| Lu +:# t [Ee c @ Ai @h@M*i @ hiThiti?|t @** Th@|i*) ULt|*) LMtih@M*i @U|L?t tU @t h?} +:# tTiU@*t|tc ti||?} T 4L?|Lh?} t)t|i4tc M)?} @? +:# *@M Aiti @U|L?t @hi |@!i? MiuLhi igLh| t ULti?c @?_ ?L*i @ *@h}i ?Uhi@ti ? |L|@* Th@|i ULt| [c M| i*T |i h4 UL44| |ti*u |L } *ii*t Lu +:# W| t @tt4i_ |@| @? ?Uhi@ti ? Y 2[ @ hi_Uit |i 4@h}?@* ULt| Lu igLh|G YeY@ f W? Lh_ih |L LM|@? u?_t U c |i h4 4t| Mi @M*i |L t@|tu) |i ?it|Lh<t T@h|UT@|L? UL?t|h@?|G EU- e E e E- -K U E L?t_ih ht| |i U@ti Lu @ t4@** ?@?U@* ?ii_ U W? |t U@ti |i h4 U@? LM|@? u?_?} |L| hitLh|?} |L ULt|*) UL44|4i?| _iUit Atc @| |' | t LT|4@* |L ti| @ ' f Ai?c _@|i2 +:# igLh| t _i|ih4?i_ M) |i 4@?@}ih<t ?Ui?|i UL?t|h@?|G E e -K ' [e E@ ' f Ee ihi [e t |i T@h|@* _ih@|i Lu [ | hitTiU| |L e 6hL4 E2 | t 44i_@|i |@| +:# igLh|t @hi t|h@|i}U tMt|||itG @? ?Uhi@ti ? |i UL4Ti||Lh<t igLh| e D hi_Uit |i 4@h}?@* i TiU|i_ Mi?i| Lu +:#c |t hi_U?} e At t |i th!?} hi}4i `i? ?t|i@_ |i ?ii_ uLh L|t_i u?_t U t *@h}ic |i h4 t LM*}i_ |L |@!i LMtih@M*i ULt|*) @U|L?t |L UL44| |L @ } *ii* Lu igLh|c L|ihti E _Lit ?L| L*_ @?_ |i ?it|Lh hiutit |L u?_ |i h4 AihiuLhic @ : f @?_ igLh| t _i?i_ M)G E e -K ' [e E@ : f ED Ai ULt|*) UL44|4i?| 4t| Mi t|hL?}ih Ei @ *@h}ih @t ?@?U@* ?ii_t E|i h}| @?_ t_i Lu E @hi ?Uhi@ti_c Lh i^@*i?|*) @t |i ?it|Lh<t i TiU|i_ hi|h?t E|i *iu| @?_ t_i Lu E @hi _iUhi@ti_ W? T@h|U*@hc @t |i UL4Ti||Lh<t igLh| ?Uhi@titc Ui|iht T@hMt |i i TiU|i_ hi|h? |L ?it|Lht t hi_Ui_ W? Lh_ih |L LM|@? u?_?}c |i h4 4t| UL4Ti?t@|i |t hi_U|L? |hL} @? ?Uhi@ti ? |t L? igLh| e E|t t _L?i M) ?Uhi@t?} @ AihiuLhic ? |i ML?_?} hi}4ic +:# igLh|t @hi t|h@|i}U UL4T*i4i?|t `|? |t uh@4iLh!c |i @|Lht hi?|ihThi| |i t|@?_@h_ i?|h) _i|ihhi?Ui ThLM*i4 @?@*)ti_ ? 6_i?Mih}AhL*i<t EbHe ti4?@* T@Tih Aihic @? ?U4 Mi?| **?} |L @UUL4L_@|i i?|h) 4@) ?_ih}L t|h@|i}U Lih?it|4i?| Lh ?_ih? it|4i?|c @UULh_?} |L i|ih UL4Ti||L? t ? t|h@|i}U tMt|||it Lh t|h@|i}U UL4T*i4i?|tc @?_ i|ih Lih?it|4i?| 4@!it |i ?U4Mi?| |L}ih Lh tLu|ih }L?#i@|hTL?|+i)<t @?@*)tt @__t tiih@* ?t}|t |L |@| ThLM*i4 6ht|c | t @h}i_ |@| @? ?Uhi@ti ? U@T|@* ?it|4i?| t ?L| |i L?*) ?t|h4i?| |L @giU| |i h4<t UL4Ti||i?itt Ai ?U4Mi?| 4@) @*tL UL44| |L @ |L}ih%tLu|ih ThL_U| 4@h!i| Mi@Lh M) 4L_u)?} |t L|t_i ?@?U@* ?ii_t EuLh ?t|@?Ui M) _t|hM|?} Lh hi|@??} ThLh i@h??}t 5iUL?_c @? ?Uhi@ti ? L|t_i ?@?U@* ?ii_t ** 4@!i |i ?U4Mi?| tLu|ih Lh |L}ih @UULh_?} |L |i ?|@* *ii* Lu L|t_i ?@?Ui Ei i|ih | t ? @ th!?} Lh @ ML?_?} hi}4i Ah_c |i *ii* Lu |i i?|h@?|<t L|t_i ?@?Ui 4L_it |i t*LTi Lu |t hi@U|L? u?U|L? @?_ |t |i ?U4Mi?|<t t|h@|i}U ?Ui?|itG u |i i?|h@?|<t ?ii_ uLh L|t_i ?@?Ui t *@h}ic |t hi@U|L? u?U|L? t t*LTi_ _L?@h_tc @?_ |t |i ?U4Mi?| @?|t |L UL44| |L Mi |L} Wu |i i?|h@?|<t ?ii_ uLh L|t_i ?@?Ui t t4@**c |t hi@U|L? u?U|L? t T@h_ t*LTi_c @?_ |i ?U4Mi?| @?|t |L UL44| |L Mi tLu| t @ UL?ti^i?Uic |i t|h@|i}U ?Ui?|it Lu |i ?U4Mi?| UhU@**) _iTi?_ L? |i ThLh *ii* Lu L|t_i ?@?Ui Lu ML| |i ?U4Mi?| @?_ |i i?|h@?| W? Lh ic }L?#i@|hTL?|+i) 4L_i* Lgiht @ ?u)?} uh@4iLh! |L hi t| |i *|ih@|hi L? U@T|@* t|hU|hi _iUtL?t @?_ ThL_U| 4@h!i| UL4Ti||L? t i @*hi@_) TL?|i_ L|c @ 4@Lh *4| ? |t *|ih@|hi t |@| hit*|t Uh|U@**) _iTi?_ L? |i ?@|hi Lu UL4Ti||L? ? |i ThL_U| 4@h!i| L?ihti*)c }L? #i@|hTL?|+i) _L ?L| 4@!i @?) @tt4T|L? L? |i ?@|hi Lu UL4Ti||L?c U t i?_L}i?Lt*) _i|ih4?i_ M) |i *ii* Lu ?|ih?@* u?_t N?uLh|?@|i*)c ? |ih S 4L_i* U@T|@* t|hU|hi t hhi*i@?|ce @?_ |t |i T@Tih _Lit ?L| ThL_i @?) Thi_U|L? L? |i ?|ihT*@) Mi|ii? U@T|@* t|hU|hi @?_ 4@h!i| Mi@Lh ?i 4}| @?| |L }i?ih@*ti |ih 4L_i* |L _tUtt L @__|L?@* i |ih?@* ?@?Ui t LM|@?i_ E|hL} _iM| Lh i^|) ttit @t |i ?ii_ uLh L|t_i ?@?Ui }hLt `i T*@? |L @__hitt |t tti ? u|hi hiti@hU S 54*|@?iLt t}?@**?} |L U@T|@* @?_ ThL_U| 4@h!i| Aihi t @ }hL?} *|ih@|hi t|_)?} L @ h4<t ?@?U@* t|hU|hi 4@) UL?i) ?uLh4@|L? @ML| |i h4<t ThL|@M*|) |L ML| |i U@T|@* 4@h!i| @?_ |i ThL_ U| 4@h!i| 5|@?_@h_ 4L_i*t Lu ?@?U@* t}?@**?} E+Ltt b..c )iht@*u bHe @?@*)ti L ?uLh4i_ 4@?@}iht @||i4T| |L t}?@* Th@|i ?uLh4@|L? |L |i U@T|@* 4@h!i| |hL} ?@?U@* _iUtL?tc M| @Mt|h@U| uhL4 |i L|ih 4@h!i|t ? U |i h4 LTih@|it @||@U@h)@+||ih EbH @hi |i ht| |L @h}i |@| Th@|i ? uLh4@|L? _tU*Lti_ |L |i U@T|@* 4@h!i| 4@) Mi LMtihi_ @?_ i T*L|i_ M) @ h4<t UL4Ti||Lht W? |ih 4L_i*c @ h4 i?}@}i_ ? +:# @U||) TLttittit Th@|i ?uLh 4@|L? |@| i?@?Uit |t hiti@hU @t i** @t |@| Lu UL4Ti||Lht AihiuLhic i? ULLt?} |i @4L?| Lu ?uLh4@|L? _tU*Lthic |i h4 u@Uit @ |h@_iLg Mi|ii? h@t?} u?_t @| Mi||ih |ih4t @?_ hi_U?} |i @*i Lu |t ?uLh4@|L?@* @_@?|@}i Bih|?ihBMML?t5U@hut|i? EbHH uLUt L? ?_hiU| ?uLh4@|L? hii*@|L? |hL} U@T|@* t|hU|hic h@|ih |@? _hiU| @?_ ih@M*i ?uLh4@|L? _tU*Lthi Aih T@ Tih M*_t L? )iht@*u EbHe ?@?U@* t}?@**?} }@4ic ihi }ThL| h4t 4@) tiT@h@|i uhL4 *LThL| L?it M) tt?} 4Lhi _iM|cD @?_ ?|hL_Uit |i ThL_ U| 4@h!i| @t @ tiUL?_ @_i?Ui |L |i h4<t t}?@**?} Wu ThL_U| 4@h!i| ThL|t @hi *Lih uLh @ h4 i? U@T|@* t|hU|hi hii@*t |t @*i |L UL4Ti||Lhtc |i? |ihi t @ |i?tL? Mi|ii? |i ?ii_ |L t}?@* @*i |L ?it|Lht E|L ?Uhi@ti Uhi_| @@*@M*|) @?_ |i LMiU|i Lu 4@ 43?} ThL|t 6Lh ?t|@?Uic @ h4 4@) @?| |L t}?@* |L ?it|Lht |@| |i _i4@?_ uLh |t ThL_U| t }c M| t|** Mi hi*U|@?| |L UL?i) |t ?uLh4@|L? |L TL|i?|@* i?|h@?|t ? |@| 4@h!i|c @t |t L*_ i? ULh@}i i?|h) @?_ |t hi_Ui ThL_U| 4@h!i| ThL|t W? UL?|h@t|c |i h4 u@Uit ?L |h@_iLg Mi|ii? t}?@**?} |@| | @t *L ULt|t |L |i U@T|@* 4@h!i| @?_ |L |i TL|i?|@* h@*t Lti i?|h) | @?|t |L _i|ih W? @ ih) hiUi?| T@Tih M) i?i?t|it@M@`*i*4 Ebb.c |i i t|i?Ui Lu ?uLh4@|L?@* i |ih?@*|it @4L?} ThL_U| 4@h!i| h@*t *i@_t h4t |L _i*@) }L?} TM*U Ai _i@ t |@| i? @ h4 ?_ih}Lit @? Wc ?uLh4@|L? hi}@h_?} ?L| L?*) |i h4<t ThL|@M*|)c M| @*tL |i L*i ?_t|h) ? U | LTih@|itc 47 Dv 48 U U Ue uhwxuqv duh hlwkhu wkurxjk ghew G @ + U Ue ru 3/ wkh lqyhvwru*v uhsd|phqw + , dqg dq htxlw| vkduh v@ Rq wklv/ vhh irrwqrwh 71 . UUe , = U + , fdq eh lpsohphqwhg erwk t @U^hi_ M) ?it|Lht @?_ |i? @}}hi}@|i_ ? Th4@h) 4@h!i| ThUit L| |i W h4 @?_ |t h@*t U@? tiu**) UL?_|L? |ih ThL_U|L? @?_ ?it|4i?| _i UtL?t L? |t ?uLh4@|L?S At ?uLh4@|L? i |ih?@*|) Uhi@|i_ M) |i tt?} h4 t T@h|U*@h*) @*@M*i ? i4ih}?} ?_t|hit t }L?} TM*U t ULt|*)c h4t Mi*L?}?} |L |i t@4i ?_t|h) @i @? ?Ui?|i |L uhii h_i L? L?i @?L|ihc @|?} uLh |ih h@*t |L Mi@h |i ULt| Lu ?uLh4@|L? ThL_U|L? 6?@?U@* TL*U) t |t @giU|i_ M) |i ?|ih@U|L? | UL4Ti||Lht @*tL ? |ih4t Lu |i _iUtL? |L }L TM*U W? i?i?t|it@M@`*i*4 h4t _i*@) }L?} TM*U t| ? Lh_ih |L uhii h_i L? |i h@*t<t W ULt|t OLiihc |i @|Lht _L ?L| i T*Lhi |i TLttM*|) |@| h4t 4@) t|h@|i}U@**) _i*@) }L?} TM*U ? Lh_ih |L _i @*@M*i ?uLh4@|L? uhL4 Uhhi?| @?_ TL|i?|@* h@*t L?ihti*)c vLt@ EbbD @h}it |@| h4t | @* @M*i Th@|i ?uLh4@|L? 4@) t|h@|i}U@**) ULLti |i ?@?U?} tLhUi |@| 4TLtit |i *Lit| ?uLh4@|L? _tU*Lthi hi^hi4i?| At *i@_t |L |i |iLhi|U@* Thi _U|L? |@| }ih ^@*|) h4t Thiuih M*@|ih@* ?@?U?} |L 4*|*@|ih@* ?@?U?} @hh@?}i4i?|tc @?_ Th@|i i^|) T*@Ui4i?|t |L TM*U Lgih?}tc ? Lh_ih |L hi_Ui |i ht! Lu ?uLh4@|L? *i@!@}i |L UL4Ti||Lht LhiLihc ??L@|i h4t 4@) Mi hi*U|@?| |L }L TM*Uc ui@h?} |i hi@U|L? Lu UL4Ti||Lht |L ?uLh4@|L? _tU*Lti_ |hL} |i W . Ai hL*i Lu |i *i?_ih ? |i ThL_U| 4@h!i| vLt@<t EbbD hit*|t L? |i ULUi Lu |i ?@?U?} tLhUi ?ULih @?L|ih 4TLh |@?| _i@G |i *i?_ih<t _i?||) t |ti*u @ UhU@* _i|ih4?@?| Lu |i ThL_U| 4@h!i| }@4i W? t 4L_i*c Liihc |i *i?_ih t @tt}?i_ @ T@tti hL*i ? |i 4@h!i| }@4i Ai *i?_ih<t _i?||) 4@||iht ? |@| _gihi?| ?@?U?} tLhUit 4TLti _u uihi?| _tU*Lthi hi^hi4i?|t L? h4t +iUi?| _ii*LT4i?|t ? |i *|ih@|hi L? ULhTLh@|i ?@?Ui @?_ ThL_U| 4@h!i| UL4Ti||L? @i @tt}?i_ @ 4Lhi @U|i hL*i |L |i *i?_ihc @?_ ?it|}@|i_ @hLt @)t ? U i U@? @giU| |i 4@h!i| }@4i W? T@h|U*@hc | @t Mii? t|hitti_ |@| |i ULUi |L hitLh| |L @ UL44L? *i?_ih 4@) ?_Ui UL**ti L|UL4it ? |i ThL_U| 4@h!i| . L44L? *i?_ih @t @ ULLh_?@|L? _iUi +iUi?| Lh!t @i t}}it|i_ |@| @ UL44L? *i?_ihc @U|?} @t @ UL44L? UL?|h@U|?} T@h|)c 4@) i*T UL4Ti|?} h4t ULLh_?@|i |ih ThL_U|L? @?_ ?it|4i?| _iU 49 Wklv odvw fodlp lv vxssruwhg e| wkh fdvxdo hylghqfh wkdw wkh vxffhvvixo Qhwvfdsh*v 4<<8 LSR hqfrxudjhg pdq| qhz upv wr hqwhu wkh lqwhuqhw exvlqhvv1 Wkh h{wudruglqdulo| srvlwlyh uhfhswlrq iru Qhwvfdsh*v LSR uhgxfhg dq| grxewv wkdw srwhqwldo ulydov pljkw kdyh derxw wkh surwdelolw| ri frpphufldo dssolfdwlrqv iru wkh lqwhuqhw1 H tL?t. At _i@ t ?L| ?i |L |i ?_t|h@* Lh}@?3@|L? *|ih@|hiG ih?i4 `?t|L? EbHD @*hi@_) TL?|i_ L| |@| h@* h4t 4@) @Uii |i u**) UL**ti L|UL4i M) ti**?} |ih ThL_U|t |hL} @ UL44L? 4@h!i|?} @}i?|c | ?L ?ii_ uLh i T*U| UL**ti @}hii4i?|t W? |ih 4L_i* |i UL44L? @}i?|c ?|ih?@*3?} |i i |ih?@*|) |@| L?i h4<t t|h@|i}) i ih|t L? |i h@*tc ** ULLti |i u**) UL**ti ThUit @?_ 4@h!i|?} t|h@|i}it W? L|i? EbHbM Ui?|h@*3i_ ?@?U?} t ThLTLti_ @t @ UL**ti Th@U|Ui |? |i h@?_ihwit 4@h!i| }@4ic ihi @| i^*Mh4 ML| h4t tti _iM| uLh t|h@|i}U ThTLtitc @?_ @hi Lhti Lg |@? ?_ih |i u**i^|) tL*|L? L|i? t}}it|t |@| @ UL44L? *i?_ih UL*_ _hi |i ?_t|h) |L@h_t 4Lhi UL**ti L| UL4it( |ihiuLhic Ui?|h@*3i_ ?@?U?} ** Mi Thiuihhi_ |L M*@|ih@* ?@?U?}c ihi i@U h4 t u?_i_ M) @ _gihi?| M@?! AL ?_iht|@?_ )c UL?t_ih |i UL?|?Lt ihtL? Lu |i 4L_i* ? tiU|L? e2 t hi|h?t @hi _t|hM|i_ L? @ UL?|?Lt tTTLh|c i@U _iM| *ii* ?_Uit @ _gihi?| t@Ti Lu |i 4@?@}ih<t hit_@* U*@4c @?_ |t @ _gihi?| L|T| t|h@|i}) W? T@h|U*@hc }ih _iM| *ii*t 4@!i |i h4<t 4@?@}iht 4Lhi @?_ 4Lhi ht!*L?}c }i?ih@|?} 4Lhi @}}hitti L|T| t|h@|i}it W? |t UL?|i |c *L@?t< @*it @hi ULhhi*@|i_ |hL} |i L|T| 4@h!i|G h@t?} h4 <t _iM| hiT@)4i?| ( ?Uhi@tit h4 <t L|T| @?_ _iUhi@tit h4 <t L|T|c |t hi_U?} h4 <t _iM| @*i UL44L? *i?_ih ?|ih?@*3it |i i |ih?@*|) |@| @ h4<t L|T| @t L? |i h@*<t 4@h!i| @*i @?_ i TiU|i_ _iM| @*ic @?_ |ihiuLhi *4|t |i @4L?| Lu _iM| tti_ M) i@U h4 | hitTiU| |L |i M*@|ih@* ?@?U?} U@ti Eihi |L ?it|Lht ULLti _iM| *ii*t uLh h4t @?_ ?L?ULLTih@|i*) t @ hit*|c i^*Mh4 L|T| t @*tL *Lih | hitTiU| |L |i M*@|ih@* ?@?U?} UL?}h@|L? Atc uhL4 @? ?_t|h) TL?| Lu ic |i UL44L?M@?! UL?}h@|L? _L4?@|it |i M*@|ih@* ?@?U?} L?i Ai @MLi @?@*)tt @t @? 4TLh|@?| 4T*U@|L? t L|i? TL?|t L|c |i _i?||) Lu |i *i?_ih MiUL4it @ hi*i@?| ULUi Lu |i h4<t ?@?U@* TL*U) Ai *i?_ih<t _i?||) 4@) Mi @*iUhi@|?} uLh h4t ? 4TihuiU| L|T| 4@h!i|t UULh_?} |L @||@U@h)@it@ EbbDc @ UL44L? *i?_ih U@? 4T*i4i?| iu Ui?| !?L*i_}i tT**Liht @4L?} UL4Ti|?} h4tc i? !?L*i_}i*Ui?t?} UL? |h@U|t @hi ?L| @@*@M*i W? |ih 4L_i* |L h4t i?}@}i ? ULt|*) hiti@hU ? Lh_ih |L }@|ih |iU?L*L}U@* !?L*i_}i |L Mi ti_ ? @ tMti^i?| +:# h@Ui LttittL? Lu |iU?L*L}U@* !?L*i_}i ?Uhi@tit |i ThLM@M*|) Lu _tULih?} @ T@|i?|@M*i ? 4: Wklv k|srwkhvlv lv vxssruwhg e| wkh hpslulfdo revhuydwlrq +Khoozlj/ 4<<4, wkdw Jhupdq dqg Dxvwuldq edqnv idflolwdwhg surgxfw pdunhw frooxvlrq dprqj wkhlu eruurzlqj upv1 Wkh fodlp wkdw prqrsrolvwlf ohqghuv pd| idflolwdwh surgxfw pdunhw frooxvlrq lv dovr d pdlq dujxphqw djdlqvw wkh %prqh| wuxvw%/ l1h1 wkh jurxs ri lqyhvwphqw edqnhuv +ohg e| M1S1 Prujdq*v sduwqhuvkls, wkdw lq wkh hduo| 4<33 grplqdwhg wkh exvlqhvv ri lvvxlqj vhfxulwlhv iru elj XV frusrudwlrqv1 Dv E1 Gh Orqj +4<<3, srlqwv rxw/ wklv grplqdqfh %111phdqw wkh fuhdwlrq ri ydoxh iru vkduhkroghuv e| wkh h{wudfwlrq ri prqrsro| uhqwv iurp frqvxphuv= li Zhvwlqjkrxvh dqg J1H1 vkduh frqwuroolqj gluhfwruv/ wkhlu frpshwlwlrq lv xqolnho| wr eh wrr lqwhqvh111% +%Glg M1S1 Prujdq*v Phq Dgg YdoxhB Dq Hfrqrplvw*v Shuvshfwlyh rq Ilqdqfldo Fdslwdolvp%/ s1:,1 b ?L@|L? @| |i +:# t|@}i Ai 4@h!i| @*i Lu @? ??L@|L? _iTi?_t L? i|ih |i h4 t |i tL*i ?i?|Lh Lh ?L|G u t| L?i h4 tUUii_t ? |i +:# @U||)c |i ??L@|L? )i*_t @ ThL| -( u ML| h4t ??L@|ic UL4Ti||L? _hit ThL|t |L 3ihL Aihi @hi |t |hii hi*i@?| t|@|it Lu ?@|hiG +:# tUUitt hL| J so6 f J| so6r f ?e s o6 W? |t ti||?}c t@h?} ?|ih4 !?L*i_}i Mi|ii? UL4Ti|?} h4t MiuLhi |i +:# h@Ui t|@h|t @t |L LTTLt|i igiU|t L? ?_t|h)_i ThL|t ? |i L?i @?_c | @U|t @t @? ?th@?Ui t)t|i4 `| ?L !?L*i_}i t@h?}c u t| L?i h4 tUUii_t ? }@|ih?} ?|ih4 !?L*i_}i M| |i? u@*t ? |i tMti^i?| +:# @U||)c |t ?|ih4 !?L*i_}i t @t|i_ Atc !?L*i_}i t@h?} _iUhi@tit |i ThLM@M*|) |@| ?L h4 ? |i ?_t|h) 4@!it @? ??L@|L? ? |i L|ih @?_c !?L*i_}i t@h?} ?Uhi@tit |i ThLM@M*|) |@| ML| h4t 4@!i |i ??L@|L? Ai i @?|i LT|4@* *ii* Lu !?L*i_}i t@h?} t UL4T|i_ M) |h@_?}Lg |iti igiU|t tL @t |L 4@ 43i |i ThLM@M*|) |@| i @U|*) L?i h4 4@!it @? ?i?|L? W?_ii_c |t t |i L?*) ii?| |@| Uhi@|it @*i uLh |i ?_t|h) Wu !?L*i_}i *Ui?t?} UL?|h@U|t @hi ?L| ui@tM*ic h4t @hi ?@M*i |L UL44| |L iUi?| !?L*i_}i t@h?}c t?Ui @| |i ?|ih4 t|@}i | t ?iih LT|4@* uLh @ h4 |L _tU*Lti @?) ?uLh4@|L? |L |t h@*t @||@U@h)@it@ @h}i |@| @ Ui?|h@*3i_ ?@?U?} @hh@?}i4i?|c ihiM) @ UL44L? M@?! u?_t ML| h4t @?_ *i@h?t |ih Th@|i ?uLh4@|L?c U@? 4T*i4i?| |i iUi?| !?L*i_}i t@h?} Wu |i M@?! L*_t _iM| ? ML| h4tc | ** ti*iU| |i iUi?| *ii* Lu ?uLh4@|L? t@h?} W? L|ih Lh_tc | ** _tU*Lti ?|ih4 ?uLh4@|L? M) L?i h4 |L |i h@* i @U|*) i? |t t LT|4@* uhL4 |i ?_t|h) TL?| Lu i *|L} |i _i@ |@| @ UL44L? *i?_ih 4@) u@U*|@|i _ith@M*i !?L*i_}i tT**Liht t ULhhiU|c |i hit*| |@| _iM| t |i LT|4@* UL?|h@U| t|hL?}*) _iTi?_t L? |i t|hU|hi Lu |i 4L_i*c ? T@h|U*@h L? |i @tt4T|L? |@| ?_t|h) ThL|t @hi 3ihL i? ML| h4t ??L@|i N?_ih |t @tt4T|L?c |ihi t ?L _gihi?Ui Mi|ii? 4@ 43?} Lih@** _iM| @*i @?_ 4@ 43?} h4t< @*ic U i T*@?t ) |i UL44L? M@?! ULLtit |i ht| Mit| *ii* Lu !?L*i_}i t@h?}H AL ?_iht|@?_ )c UL?t_ih @ 4Lhi }i?ih@* 4L_i* ihi |i ??L@|L? )i*_t ThL| -M u |i h4 t |i tL*i ?i?|Lhc @?_ @ *Lih ThL|c t@) -u c u ML| h4t ??L@|i 4; Wklv revhuydwlrq lv edvhg rq wkh pruh jhqhudo sulqflsoh wkdw zkhq uhwxuqv duh hlwkhu olnh lq Ekdwwdfkdu|d0Fklhvd/ ghew dqg htxlw| duh htxlydohqw/ olqhdu fodlpv1 fodlp G fdq eh uhlqwhusuhwhg dv dq htxlw| vkduh v @ 2f ru 3 G / dv erwk jlyh ulvh wr wkh vdph sd|phqwv wr U wkh lqyhvwru1 Lq wklv vlpsoh prgho/ erwk dq htxlw|kroghu dqg d ghewkroghu zdqw wr pd suredelolw| wkdw mxvw rqh up lqqrydwhv1 U Iru lqvwdqfh/ d ghew {lpl}h wkh +:# tUUitt hL|t J s o6 E f A J s o6r EA -u ?e s o6 E -M , TiU|i_ ?_t|h) ThL|t @hi i^@* |L hEA 2-u n hE-M c ihi 2-u -M AihiuLhic @t ? |i ht| i @4T*ic LT|4@* !?L*i_}i t@h?} 4@ 43it |i ThLM @M*|) |@| i @U|*) L?i h4 ??L@|it Wu |i UL44L? *i?_ih t i?||*i_ |L @ t@hi r Lu ThL|t i ULLtit |L _tU*Lti !?L*i_}i i? |t 4@ 43it ?_t|h) @*i( @ _iM| L*_ihc ?t|i@_c L*_ _t U*Lti !?L*i_}i 4Lhi Lu|i? |@? LT|4@* Ai hi@tL? t |@|c L*_?} @ UL?U@i U*@4c |i _iM| L*_ih t|hL?}*) _t*!it |i t|@|i ihi ?L h4 ??L@|it M| t ?L| 4U @giU|i_ M) |i ii?| |@| ML| h4t ??L@|i AihiuLhic i u@Lht @ TL*U) Lu ?uLh4@|L? _tU*Lthi @t | hi_Uit |i ht! Lu ?L ?i?|L? @| @** 6Lh i @4T*ic u |i UL44L? *i?_ih t i?||*i_ |L @ _iM| hiT@)4i?| ( -u uhL4 i@U h4c t T@)Lg t ( u t| L?i h4 ??L@|it @?_ 2( u ML| _L AihiuLhic | t @*@)t ? t ?|ihit| |L _tU*Lti ?uLh4@|L? |L @ h4<t h@* Ai @MLi UL44i?| tL*_ 4@!i | U*i@h |@| |i _it}? Lu ?@?U@* U*@4t t 4Lhi 4TLh|@?| |@? @t |ih|L Mii? hi@*ti_ ?Ui | t hiUL}?ti_ |@| |i ?it|Lh t @? @U|i T*@)ih ? |i ThL_U| 4@h!i| }@4ic | t 4TLh|@?| |L @t! U @hi |i ?it|Lh<t E?@?U@* ?Ui?|it |L 4L_u) |i UL4Ti||i ?|ih@U|L? @4L?} h4t W? @||@U@h)@it@c uLh i @4T*ic | t ?L| i?L} uLh h4t |L i?L) @ UL44L? ?it|Lh( |i) 4t| @i @? ?it|Lh | |i h}| ?@?U@* ?Ui?|it |L !?L*i_}i _tU*Lthi w||*i @||i?|L? @t Mii? @__hitti_ tL u@h |L |i tti Lu ?it|Lht< ?Ui?|it ? |i ThL_U| 4@h!i| }@4i W? |i ?i | tiU|L? i t|_) |L T@Tiht |@| *LL! @| |t ThLM*i4 4Lhi U*Lti*) .2 ?|UL4Ti||i ?@?U@* UL?|h@U|t Ai |)Ti Lu U*@4 |@| ?it|Lht tL*_ Mi @**Li_ |L L*_ ? h4t @t @| |4it Mii? @? 4TLh|@?| TL*U) tti Ai *|ih@|hi L? |i ?iht@* M@?!?} t)t|i4 @t Lu|i? Uh|U3i_ M@?!t< i^|)L*_?}t L? |i }hL?_t |@| |i) 4}| @4Tih u?_?} TLttM*|it uLh )L?} h4t @?_ _t|Lh| UL4Ti||L? ? |i ThL_U| 4@h!i|b it|L?i`|i EbbH ThL_i @ |iLhi|U@* @h}4i?| tTTLh|?} |t UL?i?|L?@* t_L4 Ai) @h}i |@| ?it|Lht 4}| ULLti |L L*_ i^|) E@?_ 4Lhi }i?ih@**)c ht!) U*@4t ? |i h4t |i) u?_ ? Lh_ih |L Uhi_M*) UL44| ?L| |L u?_ |i i?|h) Lu TL|i?|@* UL4Ti||Lht W? |i t4T*it| ihtL? Lu |ih 4L_i*c @? ?it|Lh t |i tL*i ThL_ih Lu U@T|@* |L @ ?i ?_t|h) Aihi @hi |L TL|i?|@* i?|h@?|tc 6 @?_ 62 ,@U ?ii_t |L 4< Vhh Ehqvwrq +4<<7, dqg Vdxqghuv +4<<7, iru d glvfxvvlrq ri wkh frvwv dqg ehqhwv ri xqlyhuvdo edqnlqj1 2 T@) @ ULt| U ? Lh_ih |L i?|ih |i 4@h!i| t h4t @i ?L ?|ih?@* u?_tc @ h4<t i?|h) t _i|ihhi_ ?*itt | t ?@?Ui_ M) |i 4L?LTL*t|U ?it|Lh 2f u|ih @ h4 t u?_i_c |i h4<t 4@?@}ih i ih|t @? ?LMtih@M*i igLh| e c @| ULt| [Ee Ai?c |i h4 U@? i|ih tUUii_ @?_ LM|@? ThL| -M c Lh u@* @?_ LM|@? ThL| -u : f Ai ThLM@M*|) Lu tUUitt t @giU|i_ M) ML| 4@?@}ih@* igLh| @?_ ThL_U| 4@h!i| UL4Ti||L?G u L?*) L?i h4 t ? |i 4@h!i|c |t ThLM@M*|) Lu tUUitt t e ( L|ihti | t e {q ?@?U@* UL?|h@U| Mi|ii? @ h4 @?_ |i ?it|Lh t @ r u M U@t L tT*||?} h*i -K c -K c tTiUu)?} |i MLhhLih<t UL4Ti?t@|L? ? U@ti Lu u@*hi @?_ tUUitt tt4i ht| |@| h4 2 _Lit ?L| i t| Ai?c |i LT|4@* UL?|h@U| uLh 6 4@ 4tit |i h4<t ?i| Thiti?| @*iG e -M n E e -u [Ee U ES tMiU| |L |i 4@?@}ih<t ?Ui?|i UL?t|h@?|G -KM -Ku ' [e EU E. @?_ |i ?it|Lh<t T@h|UT@|L? UL?t|h@?|G EU- e E-M -KM n E e E-u -Ku U EH W? |i t4T*i U@ti U -u |i LT|4@* UL?|h@U| t t@ui _iM| ( ' U At ?_Uit |i ht| Mit| *ii* Lu igLh|c @tG -KM -Ku ' -M -u ' [e Ee8 Lhi }i?ih@**)c |i LT|4@* UL?|h@U| *?!t |i 4@?@}ih@* UL4Ti?t@|L? |L |i h4<t ThL|c tL @t |L ?_Ui @ } igLh| At t i^@*i?| |L tt?} @ hi*@|i*) t@ui U*@4 |L |i ?it|Lh 6Lh **t|h@|i ThTLtitc i uLUt ihi@u|ih L? |i t4T*i U@ti U -u tt4i ?L |@| h4 2 t **?} |L i?|ih |i ?_t|h) @?_ UL4Ti|i t UL4 Ti||L? hi_Uit ?_t|h) ThL|tc | t i @?|i LT|4@* |L *i| t| L?i h4c t@) 6c i?|ih |i ?_t|h) @?_ _i?) u?_?} |L 62 Aihi t Liih @ UL44|4i?| ThLM*i4 U @_ ?L| ThiLt*) Mii? hiUL}?ti_ M) |i *|ih@|hi tt4i |i ?it|Lh t}?t @ UL?|h@U| ? U i @}hiit |L tTT*) u?_t |L 6 ? hi|h? uLh t@ui _iM| Ai?c @u|ih |i UL?|h@U| | 6 t t}?i_c |i ?it|Lh t |i4T|i_ |L u?_ |i tiU L?_ h4 |L i?|ih |i ?_t|h)c @t t U*@4 t t@ui @?_ |t ?@giU|i_ M) ThL_U| 4@h!i| UL4Ti||L?2 At @ UL44L? *i?_ih t ?L| tUi?| |L ULLh_?@|i ?_t|h) L|UL4it( |i ?it|Lh<t U*@4 4t| @*tL Mi _it}?i_ @TThLTh@|i*)22 Ai tL*|L? iruhforvxuh ghd wkdw wkh rzqhu ri dq hvvhqwldo lqsxw +lq wklv fdvh/ prqh|, pd| h{whqg klv prqrsro| srzhu wr d srwhqwldoo| frpshwlwlyh vhjphqw e| ghq|lqj surshu dffhvv wr wkh hvvhqwldo lqsxw1 Iru d frpsohwh vxuyh| ri wkh iruhforvxuh dujxphqwv/ vhh Uh|0Wluroh +4<<:,1 54 Wkh h{shfwhg ydoxh ri wkh fodlp lv / zkhwkhu I5 lv ixqghg +dqg wkxv I4 vxffhhgv zlwk suredelolw| 4,/ ru I5 lv qrw ixqghg +dqg wkxv I4 vxffhhgv zlwk suredelolw| 4 , 55 Lghdoo|/ wkh lqyhvwru vkrxog zulwh dq h{foxvlyh ghdolqj fodxvh lq klv frqwudfw zlwk I4/ surplvlqj qrw wr ixqg dq| frpshwlqj up1 Exw vxfk d fodxvh lv olnho| wr eh surklelwhg e| dqwl0wuxvw odzv1 Wkhuhiruh wkh lqyhvwru pxvw eh jlyhq d qdqfldo lqfhqwlyh qrw wr ixqg I51 53 Iru wkrvh zkr duh idploldu zlwk wkh olwhudwxuh rq / wklv lv vlpso| wkh l G h h 22 = UL?tt|t ? 4@!?} |i ?it|Lh<t U*@4 ? 6 4Lhi ti?t|i |L |i igiU| Lu UL4Ti| |L? it|L?i`|i tL |@| |i LT|4@* @?|UL4Ti||i ?@?U@* @hh@?}i4i?| }it |i ?it|Lh _iM| T*t @? i^|) t|@!i k ? 6 Ai?c |i i TiU|i_ @*i Lu |i ?it|Lh<t U*@4 ? 6 MiUL4itG ( n ekE-M ( n E e kE-u ( Eb | ?L ThL_U| 4@h!i| UL4Ti||L?c @?_G ( n Ee {kE-M ( n E e n {kE-u ( E2f | ThL_U| 4@h!i| UL4Ti||L? OL*_?} @? i^|) t|@!i ? 6c |i ?it|Lh ?|ih?@*3it T@h| Lu |i i |ih?@*|) |@| u?_?} 62<t i?|h) @t L? 6<t ThLM@M*|) Lu tUUitt @?_ ThL|t hL_i_ |i i^|) t|@!i t tUi?|*) *@h}ic | t ?L| ? |i ?it|Lh<t ?|ihit| |L u?_ 62 Oi |i? @U|t *!i @ 4L?LTL*t|U tTT*ih L ih|U@**) ?|i}h@|it | @ hi|@*ih |L UL44| ?L| |L tTT*) UL4Ti|?} hi|@*iht t ? L*|L?5U@hut|i? Ebbfc @Ui?} ThL_U| 4@h!i| }L@*t E? |t U@tic i?|h) _i|ihhi?Ui |hL} |i h4<t ?@?U@* t|hU|hi 4@) Lhti? @}i?U) ThLM*i4t |? |i h4 ? |i L?i @?_c @**i@|?} @}i?U) ThLM*i4t L*_ hi^hi *i@?} |i 4@?@}ih | 4Lt| Lu |i ht!( L? |i L|ih @?_c UL44||?} |i ?it|Lh ?L| |L u?_ 62 hi^hit tt?} @ ht!) U*@4 At UL?U| Mi|ii? |i 4@?@}ih<t @?_ |i ?it|Lh<t ?Ui?|it 4T*it |@| 6<t 4L?LTL*) TLt|L? U@? L?*) Mi Thitihi_ @| |i i Ti?ti Lu @ *Lih 4@?@}ih@* igLh| u ULhtic t||?} L| h4 2 UL4T*i|i*) t L?*) TLttM*i u |ihi @hi ?L L|ih M@?!t |L *i?_ |L 62 Ai?c |i @Mti?Ui Lu UL4Ti||L? ? |i Uhi_| 4@h!i| *i@_t |L ?L UL4Ti||L? @?_ 4@?@}ih@* t*@U! ? |i ThL_U| 4@h!i| W? @ 4Lhi }i?ih@* 4L_i* | 4TihuiU| UL4Ti||L? @4L?} ?it|Lhtc it|L?i`|i @*tL tL |@| |i h@|i Lu i?|h)c @?_ |t |i _i}hii Lu UL4Ti||L? ? @? ?_t|h) t TLt|i*) hi*@|i_ |L |i _i}hii Lu UL4Ti||L? ? |i ?@?U@* 4@h!i| Atc |i T@Tih @t t|hL?} 4T*U@|L?t uLh M@?!t<i^|)L*_?}tG ?_ih Uih|@? UL?_|L?t E@MLi @**c *4|i_ UL4Ti||L? ? |i ?@?U@* tiU|Lh M@?!t< i^|) t|@!it ? ?_t|h@* h4t 4@) @i @?|UL4Ti||i igiU|t At t @ uh|ih @h}4i?| ? u@Lh Lu |i B*@tt 5|i@}@** U| @?_ |i ThLM|L? Lu ?iht@* M@?!?} W? UL?|h@t|c hT?} Ebb. t|_it |i U@ti Lu TihuiU| UL4Ti||L? ? |i U@T |@* 4@h!i| Oi tLt |@| ? |t U@ti M@?!t< ?_t|h@* L?ihtT U@? u@U*|@|i ?@?U?} uLh )L?} h4t @?_ |t @t ThLUL4Ti||i igiU|t W? t 4L_i* @ M@?! L*_?} @? i^|) t|@!i ? @? ?U4Mi?| h4 U@? 4ThLi |i Uhi_| hi*@|L?tT | @ ?i i?|h@?|c M) @**i@|?} @ tLu| M_}i| UL?t|h@?| E5 ThLM*i4 5 ThLM *i4t @hti i? |i MLhhLih<t ?Ui?|it E|L 4@!i tLh| |ih4 hiT@)4i?|t u ?UL4i t ?ih@M*ic Lh |L i ih| igLh| ? @ 4Lh@* @3@h_ 4L_i* 4t| UL4i uhL4 @ |ih4 ?@|L? |hi@| Wu ?uLh4@|L? @UUhit |L |i ?it|Lh @| @? ?|ih4i_@|i t|@}i |@| ti_t *}| L? _@|if 4Lh@* @3@h_c | t LT|4@* |L UL44| |L *^_@|i |i h4 u @ M@_ t}?@* @hhit Wu |i |ih4?@|L? |hi@| t ?L| Uhi_M*i EMiU@ti UL?|?@|L? 2 t i TLt| @hi|L iUi?|c |i h4 @?|UT@|it |t tLu| M_}i| UL?t|h@?| @?_ |t ?Ui?|it @hi _it|hL)i_2 hT?} @h}it |@| @? i^|) t|@!i ? @ UL4Ti|?} h4 4@!it |i ?it|Lh |L}ihc i *itt ThL?i |L hi?i}L|@|i @@) t *^_@|L? h}|tc @?_ |ihiuLhi }it Uhi_M*|) |L |i |ih4?@|L? |hi@| Ai hi@tL? t |@| |i i^|) U*@4 4@!it |i ?it|Lh ?|ih?@*3i |i igiU| Lu |i i?|h@?|<t |ih4?@|L? L? |i ?U4Mi?|<t ThL| At ? |h? 4ThLit |i i?|h@?|<t ?Ui?|it @?_ |t |t ThLtTiU|t Lu hiUi?} ?@?Ui H L?U*tL? `i @i }*}|i_ |i _gihi?| U@??i*t |hL} U h4t< ?@?U@* _iUtL?t @?_ ThL_U| 4@h!i| t|h@|i}it ?|ih@U| 6?@?U@* t|hU|hi _i|ih4?it |i @M*|) |L hitt| |L Thi_@|L? |L| _iu@*|?} L? _iM| LM*}@|L?t( | U@?}it |i i^|) L*_iht< LMiU|i u?U|L?c @?_ |t |ih Thiuihhi_ 4@h!i| t|h@|i})( | UL?i)t t} ?@*t L? |i h4<t ThL|@M*|) ?L| L?*) |L |i U@T|@* 4@h!i|c M| @*tL |L UL4Ti|?} h4t ? |i ThL_U| 4@h!i| Ai _iUtL? |L hitLh| |L @ UL44L? *i?_ih 4@) i*T UL4Ti|?} h4t UL**_i ? |i ThL_U| 4@h!i|c @?_ 4Lhi }i?ih@**) |L ULLh_?@|i |ih ThL_U|L?c ?it|4i?| @?_ +:# @U||it 6?@**)c |i _it}? Lu ?@?U@* U*@4t UhU@**) @giU|t |i ?it|Lh<t ?Ui?|it |L ULLh_?@|i h4t< @U||it @?_ |L u?_ |i i?|h) Lu UL4Ti|?} h4t ? |i ThL_U| 4@h!i| Ai T@Tiht i @i thi)i_ @i UL?|hM|i_ |L it|@M*t |L 4TLh|@?| Th? UT*it 6ht|c h4t< ?@?U@* UL?_|L?t @hi @ _i|ih4?@?| Lu |i ThL_U| 4@h!i| }@4ic @?_ |t U@??L| Mi ?i}*iU|i_ i? |h)?} |L Thi_U| |i 4@h!i| L|UL4i 5iUL?_c ?@?U@* t|hU|hi _it}? 4t| ?U*_i ThL_U| 4@h!i| UL?t_ih@|L?t Ai ht| U@? Mi hi}@h_i_ @t @ ?Li* UL?|hM|L? |L |i W?_t|h@* h}@?3@|L? *|ih@|hi @?_ |i tiUL?_ |L LhTLh@|i 6?@?Ui Aihi t @ ?4Mih Lu ?|ihit|?} ttit |@| hi4@? ?i T*Lhi_ 6ht|c 4Lt| Lu |i T@Tiht @i hit|hU|i_ @||i?|L? |L @ tMti| Lu |i ui@tM*i ?@?U@* ?t|h4i?|t W? |t Lh!c i ** *LL! @| @ _ih ti| Lu ?t|h4i?|tc @?_ @t! L 4Lhi tLTt|U@|i_ ?@?U@* ?t|h4i?|tc tU @t UL?ih|M*i _iM| @?_ UL?ih|M*i Thiuihhi_ t|LU!c @giU| |i ThL_U| 4@h!i| L|UL4i tiUL?_ _hiU|L? uLh uh|ih hiti@hU t hiThiti?|i_ M) |i t|h@|i}U @**LU@|L? Lu UL?|hL* h}|t uLh4@* @**LU@|L? Lu UL?|hL* h}|t Mi|ii? |i h4 @?_ |i ?it|Lhtc @?_ @4L?} _gihi?| |)Tit Lu ?it|Lhtc t T@h| Lu @?) ?@?U@* _i@* Atc L?i L*_ L?_ih L |t t @giU|i_ M) |i t@4i ThL_U| 4@h!i| UL?t_ih@|L?t |@| ?i?Ui |i _it}? Lu ?UL4i h}|t @?_ |i ULUi Lu |i ?@?U?} tLhUi `| hi}@h_ |L i4ThU@* Lh!c |ihi @hi tiih@* |iLhi|U@* Thi_U|L?t |@| @i ?L| Mii? |it|i_ )i| `*i 4@?) T@Tiht @i |hi_ |L ihu) |i igiU| Lu *iih@}i L? i?|h)c i | @?_ ThU?} _iUtL?tc |ihi i t|t ?L i_i?Ui 56 Iru pruh ghwdlov rq wkh vriw exgjhw frqvwudlqw skhqrphqrq/ vhh Ghzdwulsrqw +4<;;,/ Ghzdwulsrqw0Pdvnlq +4<<8,1 2e L? L |i ULUi |L hitLh| |L @ UL44L? *i?_ih @giU|t UL4Ti||L? ? |i ThL_U| 4@h!i| `i T*@? |L @__hitt |t ^it|L? ? hi*@|i_ i4ThU@* Lh! 2D +iuihi?Uit do BOW #,`A+WA +,v EbbHc }i?U) Lt|tc 6h4 i@Lh @?_ |i @|hi Lu L4Ti||L?c W#,Wc #LU4i?| _i Ah@@* ?..c AL*Lti d2o +WB 5 Ebb.c W?_t|h) @?!?}c hL_U| @h!i| L4Ti||L?c @?_ +i} *@|L? Lu @?! ,^|) 5|@!itc ?TM*ti_ 4@?tUhT|c ,+,c N?iht|i wMhi _i h i**it do ,5A B Ebbec N?iht@* @?!?}c aLh?@* Lu ,UL?L4U ihtTiU|itc L* Hc TT 2e deo ,V,W5A, w N5 `v `WwO,w `aEbb.c W?uLh4@|L? , |ih?@*|it ? h4@h) ,^|) @h!i|tc ?TM*ti_ 4@?tUhT| dDo ,+O,W # `OW5A # EbHDc L44L? @h!i|?} }i?U) @t @ #iUi uLh 6@U*|@|?} L**tL?c +# aLh?@* Lu ,UL?L4Utc L* Sc TT2Sb2H dSo OAAO+v 5 OW,5 BEbbDc hLThi|@h) W?uLh4@|L?c 6?@?U@* W?|ih4i_@|L?c @?_ +iti@hU W?Ui?|itc aLh?@* Lu 6?@?U@* W?|ih4i_@|L?c L* ec TT2HD. d.o OAAO+v 5 +WAA,+ a+ EbHc W??L@|L? @?_ L44?U@ |L?G 5}?@**?} | @h|@* #tU*Lthic +ii Lu ,UL?L4U 5|_itc L* Dfc TTeS dHo wA 5O+65A,W #5Ebbfc AiLh) Lu hi_@|L? @ti_ L? }i?U) hLM*i4t ? 6?@?U@* L?|h@U|?}c 4ihU@? ,UL?L4U +iic L* Hfc TTbfS dbo +#,+ a w,`W5 A+ EbHSc *}LTL*) @?_ 6?@?U@* 5|hU|hiG |i w4|i_ w@M*|) ,giU|c 4ihU@? ,UL?L4U +iic L* .Sc TTbDSb.f dfo Nw` a B,kw5 a kw,,+,+ EbHDc *|4@h!i| *}LTL*)G 5|h@|i}U 5Mt|||it @?_ L4T*i4i?|tc aLh?@* Lu L*|U@* ,UL? L4)c L* bc TTeHHD do ,5A, B `OWA, w EbbHc ?|L4Ti||i 6?@?U@* L?|h@U|?}G |i #it}? Lu 6?@?U@* *@4tc ?TM*ti_ 4@?tUhT|c B+,"c N?ih t|i _i AL*Lti @?_ i*_c uLh_ N?iht|) 2S d2o O,VwW,+ a EbbDc @T|@* 5|hU|hi @?_ hL_U|@h!i| L4Ti| |L?G ,4ThU@* ,_i?Ui uhL4 |i 5Tih4@h!i| W?_t|h)c 4ihU@? ,UL?L4U +iic L* HDc TTeDeD do O,VwW,+ a EbbSc @T|@*@h!i| W4TihuiU|L?t @?_ L?|ihU)U*U@* @h!TtG AiLh) @?_ ,_i?Uic 4ihU@? ,UL?L4U +iic L* HSc TT.f .2D deo #, wB Ebbfc #_ Lh}@?<t i? __ V@*iq ? ,UL?L4t|<t ih tTiU|i L? 6?@?U@* @T|@*t4c ,+ `Lh!?} @Tih ? e2S dDo #,`A+WA EbHHc L44|4i?| AhL} +i?i}L|@|L?hLLu L?|h@U|t | Ah_ @h|itc +ii Lu ,UL?L4U 5|_itc L* DDc TT..bf dSo #,`A+WA 5kW , EbbDc hi_| @?_ ,Ui?U) ? i? |h@*3i_ @?_ #iUi?|h@*3i_ ,UL?L4itc +ii Lu ,UL?L4U 5|_itc L* S2c TTDeDDD d.o #W# # Ebbc L?|Lh?} @?_ +iT|@|L?G |i LUi i|ii? @?! wL@?t @?_ #hiU|*) *@Ui_ #iM|c aLh?@* Lu L*|U@* ,UL?L4)c L* bbc TTSHH .2 dHo 6N+,B+WN# EbbHc 5|hU|hi 6?@?U ihi i| L?Uhhi?Ui W4T@h u@|iG L_}*@?**ih ef ?t Th itc +ii _<,UL?L4i L*|^ic L* fHc TTSS dbo 6,+5OA aN## kw EbH.c ,^*Mh4 W?Ui?|it ? *}LTL*)c 4ihU@? ,UL?L4U +iic L* ..c TTb2.bef d2fo 6N#,,+B # AW+w, a EbHSc 5}?@*a@44?} AiLh) Lu hi_@ |L?c +# aLh?@* Lu ,UL?L4Utc L* .c TTSS.S d2o 6NwBOW,+W B+a 5 Ebb2c 6?@?U@* L?|h@U|t @t w@t|?} L44|4i?|tG Ai @ti Lu @ wiih@}i_ *}LTL*)c aLh?@* Lu 6?@?U@* W? |ih4i_@|L?c L* 2c TT22 d22o B,+A,+ + BW5 + 5O+65A,W #5 EbHHc 54*|@?iLt 5}?@**?} |L |i @T|@* @?_ hL_U| @h!i|tc +# aLh?@* Lu ,UL?L4Utc L* bc TT.bf d2o B+,, , +A,+ + EbHec L?LLTih@|i L**tL? ?_ih W4TihuiU| hUi W?uLh4@|L?c ,UL?L4i|hU@c L* D2c TTH.ff d2eo O++W5 +VWV Ebbc Ai AiLh) Lu @T|@* 5|hU|hic aLh?@* Lu 6?@?Uic L* eSc TT2b.DD 2. d2Do O+A +, a EbHbc #iu@*| @?_ +i?i}L|@|L?G #)?@4U L_i* Lu #iM|c w5,c 6B #tUttL? @Tih ?D. d2So O,ww`WB Ebbc @?!?}c 6?@?U@* W?|ih4i_@|L?c @?_ LhTLh@|i 6 ?@?Uic ? BL@??? @?_ @)ihc ,hLTi@? 6?@?U@* W?|i}h@|L?c @4 Mh_}i N?iht|) hitt d2.o Ow5A+ AW+w, a Ebb.c 6?@?U@* W?|ih4i_@|L?c wL@?@M*i 6?_t @?_ |i +i@* 5iU|Lhc "@h|ih*) aLh?@* Lu ,UL?L4Utc L* S2c TTSS Sb d2Ho a,5, N+Ov k Ebbfc ihuLh4@?Ui @) @?_ ALT @?@}i4i?| W?Ui?|itc aLh?@* Lu L*|U@* ,UL?L4)c L* bHc TT22D2Se d2bo k5WVW V EbHHc @T|@* 5|hU|hi ? +iTi@|i_ *}LTL*itc +@?_ aLh?@* Lu ,UL?L4Utc L* bc TTHbef. dfo #WBwWW 6 Www,+ EbDHc Ai Lt| Lu @T|@*c LhTLh@|L? 6?@?Ui @?_ Ai AiLh) Lu W?it|4i?|c 4ihU@? ,UL?L4U +iic L* eHc TT2Hf2 do v,+5 5 Eb..c #i|ih4?@?|t Lu LhTLh@|i LhhL?}c aLh?@* Lu 6?@? U@* ,UL?L4Utc L* Dc TTe..D d2o v,+5 5 awN6 EbHec LhTLh@|i 6?@?U?} @?_ W?it|4i?| #iU tL?t i? 6h4t O@i W?uLh4@|L? |@| W?it|Lht #L L| O@ic aLh?@* Lu 6?@?U@* ,UL?L4Utc L* c TTH.22 do ,A,+5, +a +B Ebbec Ai i?i|t Lu wi?_?} +i*@|L? tTtG ,_i?Ui uhL4 54@** t?itt #@|@c Ai aLh?@* Lu 6?@?Uic L* Dbc TT. deo OWwwW5 B EbbDc W?Uhi@ti_ #iM| @?_ W?_t|h) hL_U| @h!i|t ? ,4ThU@* ?@*)ttc aLh?@* Lu 6?@?U@* ,UL?L4Utc L* .c TTHb2H dDo WA,VW EbHb@c 6?@?U@* 5}?@**?} @?_ |i #iiTLU!i| h}4i?|c +# aLh?@* Lu ,UL?L4Utc L* 2fc TT2Sef dSo WA,VW EbHbMc L**tL? @?_ |i @?!?} 5|hU|hi Lu @ #LTL*)c @?@_@? aLh?@* Lu ,UL?L4Utc L* 22c TT2S2.. d.o w A,#,5OW Ebb.c ,^*Mh4 @?_ +i?i}L|@|L? ? #i*i}@ |L? B@4itc WBW,+ `Lh!?} @Tih ?Sc *@? dHo +55 5 Eb..c Ai #i|ih4?@|L? Lu 6?@?U@* 5|hU|hiG Ai W?Ui?|i 5}?@**?} TThL@Uc i** aLh?@* Lu ,UL?L4Utc L* Hc TT2ef 2H dbo 5N#,+5 Ebbec @?!?} @?_ L44ihUiG ? ihi Lu |i M*U L*U) Wttitc aLh?@* Lu @?!?} @?_ 6?@?Uic L* Hc TT22De defo 5O`wA,+ # EbbDc *}LTL*) @?_ 6?@?U@* 5|hU|hiG L44i?|c 4ihU@? ,UL?L4U +iic L* HDc TTSe.SD deo 5Bw B EbbHc #iM| @t @ Ehi_M*i L**ti #iUic `Lh!?} @ Tih L 2ec 5|LU!L*4 5ULL* Lu ,UL?L4Ut de2o A,w5,+ wB EbSSc ||hL@| L4Ti||L? @?_ |i wL?} htic aLh?@* Lu w@ @?_ ,UL?L4Utc L* bc TT2Db2.. deo AW+w, a EbHHc Ai AiLh) Lu W?_t|h@* h}@?3@|L?c WA hittc @4 Mh_}ic @tt@Uti||t deeo v5O EbbDc W?uLh4@|L? #tU*Lthi @?_ |i LUi Lu 6?@?U?} 5LhUic aLh?@* Lu 6?@?U@* W?|ih4i_@|L?c L* ec TT2f deDo ~WBw,5 w EbbHc 5h@* Lu |i 6||it| Lh |i 6@||it|q , | @?_ 6 ?@?U?} ? |i AhU!?} W?_t|h)c aLh?@* Lu 6?@?Uic L* Dc TTbfDbH 2b
© Copyright 2026 Paperzz