Uniform Random Generation of Decomposable Structures

Uniform Random Generation of Decomposable
Structures Using Floating-Point Arithmetic
Alain Denise, Paul Zimmermann
To cite this version:
Alain Denise, Paul Zimmermann. Uniform Random Generation of Decomposable Structures
Using Floating-Point Arithmetic. [Research Report] RR-3242, INRIA. 1997. <inria-00073447>
HAL Id: inria-00073447
https://hal.inria.fr/inria-00073447
Submitted on 24 May 2006
HAL is a multi-disciplinary open access
archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from
teaching and research institutions in France or
abroad, or from public or private research centers.
L’archive ouverte pluridisciplinaire HAL, est
destinée au dépôt et à la diffusion de documents
scientifiques de niveau recherche, publiés ou non,
émanant des établissements d’enseignement et de
recherche français ou étrangers, des laboratoires
publics ou privés.
INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE
Uniform Random Generation of Decomposable
Structures Using Floating-Point Arithmetic
Alain Denise , Paul Zimmermann
N ˚ 3242
Septembre 1997
THÈME 2
ISSN 0249-6399
apport
de recherche
!#"$&%')(*,+-
./0"01#(23(*45768-45
9;:<4,3=>?@&"
ABDCFEHG IKJLGEDMNJPOQRCFS*BTEHU8U8JLVWUXCFG*GZY
[$\^_N] `_badcfe'_g hFij_kmlnoimpim_k
_Nq$pW}*rs~kmplWt;?_kvquxwL€*`1t ~yz_g lpWkmr im{|tF_
 rs‚;‚zl ~ q„ƒ;_ ~ _p \ _ ~ p \ _…h,†L‡asˆLaKcf‰L_‚Fqx_`1y ~ _ŠW‹o‹ŒcŽŠW
‚rsno_u
‘ ’Z“N”4•s–—s”o˜[$\ _™›š?œWL™?žŸ¡ 4š,¢šW£m¤;¥4¦K§Hl~ ~ `¨r©kjimª_Nƒ1y|wK«#i ?_h \ tFiju#\ r©~ h;ƒ¬ imk­§¯®mŠW°N±rsh;ƒuxwLu›qx~ _`\ rsqximª_Nƒ
yL[$w)\ _²vk¡~ r_N?uxlot;kjkm_NqxqWim³sh;´„nKr©¾bh¿µ¶'tFqx`ux_N_N`dq \ r©lLh;ƒƒ1_h¶zr©ij`Ky;km`_u_ l`h;_,rsh;q›hl®¸no·N_±¹h;³©ij_ u*~ rs_qxºL_q›_ƒ;h;_ƒ;pN_lƒ `‚z_ lu?_#rsqxy;lkm_»ƒlLrsr©q›qÀijr1hFnsu›q¼D~‚t;lopijqxhLt q/~ r _uimq cÁ`Kyz_lqximq p\ ½
k¡‚ rs~ yz__‚ km~ kml|_ƒpN_luxu›~ ijhFtFn¨h;k¡‚ rs\yzrs_kmu›kj_,_Nƒ1ls§cÂÄ1ÆHt;Ç^h;Ì?i­É^§Hl Êx~ Ë`Kq›imkj`w,r©_q³oÍ ~ rs\ h;impƒ;\¨lo`Ã~ _³oƒ;imt;h1pN__uºL‚qx_l1pNqxÄ1_ƒÅÆHÇvÄ1ÈxÉ^ÆHÊxÇvËÎÈx§ÏÉ^l ʛ~ Ëpq›loij`Kh|q›_#_ºLrsqDh;¼ÏƒK§ ~ _Nux_,‚r©n p~ _rs³z`r4`§Hq›_ r ~ ~ uWr ½
ÐKÑLÒzÓÀÔ,Õz•Ö*“s˜ t;h;i­§Hl ~ ` ~ rsh;ƒ;lo`…n_Nh;_ ~ r©qximlhv³;ƒ;_pNl`‚zlu?rsy;km_uxq ~ t;pq›t ~ _³×ijhLq›_ ~xØ r©k/r ~ imq \ `_q›imp
mÙ Ú1Ü¹Û ÝDÞWß ÜÎÛ àámÝDâÏãä
ïÏæsóûzå^óæs4ç¸ïHèvëÏóéûzêëÏæsìíëHéð¸ó›íèèv/îsíó›ëëÏ$ïHç¸íç¸ïÏð¸óñÎ èHòsîsîoêëHïÏóxôÎõWñ$ïÏæsóö*÷*ø*ù?úø/ûü/ýþDÿsïÏæsózòsëó xíîsëÏêHóxï;ê;þ
vø/þ¡ü|êNëHëÏíçsó^ísô
|øvþDÿsçóxëÏèÏç¸ïóv ú;íëÏç¸è
4òsôLÿ !#"%$&! '&)()+*,-"/.0*
1 þ
/øvþ¡ü2LêëÏëHíçsóNÿ43+56"
709880&*:8!!+()+;*+<"=.0*
Unité de recherche INRIA Lorraine
Technopôle de Nancy-Brabois, Campus scientifique,
615 rue de Jardin Botanique, BP 101, 54600 VILLERS L ÈS NANCY (France)
Téléphone : (33) 83 59 30 30 – Télécopie : (33) 83 27 83 19
Antenne de Metz, technopôle de Metz 2000, 4 rue Marconi, 55070 METZ
Téléphone : (33) 87 20 35 00 – Télécopie : (33) 87 76 39 77
f,-#? 0N
„ (v/0"01#(
"$1 %Ã(*,+-#( Á?@ $*K0 /*,
‚r ÑP
~ “²vk rN?Ñ'
lkm˜ _q4³ ´„rKr©¢h š4µ£j¤Ft;¥Wq›¦ouxš1_` ™ š4 œW_Lq™?¶zžŸ¡im 4`Kš,``K_ ij~ u›`_brsr©h;t¨h8‚zl®¸·Nim±¹hL³Îq_‚uxqKr ~ imp«#i¨i ?_g _qxh_Nh;\ ƒ;t;t;imu$_ _q$r] ¬ k t;ijk­q›§$ijkm®jimŠ4uÀr©°N±qxim_lq$h'u›ƒ;wL_uxq;_NhFg `¨l`1rsq›y imu;~ __g _ u
»t;hFloqxi §Ïq?l rs~ hL` qxu4_g ½ `_Nh|r q
` ƒ;__g u1q \ uxlLq ƒ;~ t;_1pN{Lqxtt;~i$__uh ƒ¯ƒ¯_g p_g loplo`t;‚zkm_l³„uÀr©r©y;‚;km‚_u_NkW_Nc g _¨¾_g q›¿ij{L¶*t;³*_N‚q;_g_ _~ u`lo_tXqƒ;h;_KlohXn_gc h$_ g ~ _N_ h ~ rsq›_kW_W`g rsq›‚Flu)i ~ __Nq1`_N_uxhL‚qr©p__q
`K‚zllst w~ _h;ƒ;u*_u$Ä1n ÆH~ÇvrsÈx`KÉ^ʛ`¨Ë³r©r©i ~ ‚ _N~u„_] uÎrskmt;nh)_Ng y ‚ ~ ~ im_{Lg pWt;r©_kmu4p½ t;k;ƒ;_plo`‚;km_ºLimq;_g _Nh)q›_`‚;uÄ1ÆÏÇ^Ì?É^ÊD˳su›_ ~ _g ƒ;tFiju?rshLq r] Ä1ÆHÇvÈxÉ^ÊxË
Õz” “ Ó — Ñ
˜ n_g h$_ g ~ r©qximlh,rsk4_Wg r©qxloi ~ _*t;h;i­§Hl ~ `_³?u›q ~ t;pqxt ~ _$ƒ$_g pNl`‚zlu?rsy;km_³4r ~ ijq \ ` _Ng qxim{Lt;_/ƒ imhLqx_ ~›Ø rskmkm_
Ÿ N¥™¢ ¦¥¢$š š4™
o£HŸ ¥ ¥
,š?œ?¥¢P¥©žmš£Ï™LœW£ÏL™xšNž žŸ j¥£ÏŸ ¥Ÿ £™Ÿ¡£m¤;¢šW£ÏŸ¡œ/‡
! ,/ 0"#"
$ hŠ4‹Œo·;³4«#i ?_h \ tFiju/r©h;ƒ,¬ imk­§|‚ ~ _u›_hLqx_ƒ1_&%pNij_Nh|qr©kjnol ~ ijq \ `uzqxl$no_h;_ ~ rsq›_ Ø r ~ imlot;u^ƒrsq?r4¼Duxq ~ t;pq›t ~ _Nu
kmr©i(h;'ƒ¨_ux¶z_Nimqx`uW³F`K`1_ t;~ `kmqximr©uxh;_Nqxh,uWim³;h r©h;®¸·Nƒ± q›q l~ __¦u)š?œ?®m¥Š4¢ °N±¹;½ ¥s[$ž \ )ijju$š
`Kƒ_rsqq?\ r4l|¼DuxƒKq ~ ͯt;pr©q›u$t ux~ wL_uxu4q›³_r©`¨h;r©ƒ1qximimu„ª_h;ƒlsÍyLw¨'L²vh;lsk¡rÍ$?lohkm_r©qWu„³Lq ´„\ r©_)h¨™›šÀµœ4t;Lq›™?uxž_Ÿ¡` 4š
¢‚r©šW&p £m'¤;rs¥4n¦_o½ ³L$ ‚ q$~ im_ uØ imim`ltF‚;uxkmkm_?w `1'L_h;hLlsq›Í$_ƒ)h imrshKu#q e
\ +_ r @A¡*#r1,.®mŠW-0ŒN/±x½1pl`K‚;t;q›_ ~ r©kmn_y ~ ruxwLu›qx_`!® ˆ4±¹³Limh1q \ 3_ 2.4.576.8)9.:<;=2>9
~‚ lLp[$_\ uxu›_ imh;\ ~ n_pN‚ t \ ~ u›rsi u›Ø _ _Ã~ _N`K{|_tFq i \ ~ _l|3u ƒ FrsÆHu~Ç ‚Ì Ë#~ _r u›~ _imhLq qx\ _`Kƒ ~ _qximhimp#®¸lo·N‚± _ \ ~ rsrsq›uim\ÅlqDh;Í\ u4lųrs\ `¨hFƒ~rN?uxl \ _~ pNlƒ h;~ r4ƒ;\Í$kmwyzqrs\ p&'L_,uCpBElL&_ D %~ uxpq›imkj_w8hL~ q#q \ n \ _ ~ ls‚Í$~ q _?\ ¼
`ploGr`'‚;_Nu,km_ºLq imqD_wL½y;im¾ qp̈́ll`K~ ‚;'rkm_~ ºLlimtFqDh;wƒÅ§Hl qxl'lq hF\ __HnD _N~ h;u›_q)‚r©qx~ imllyFh kj_N`1` t;imp u,̈́_Nimkjn k­¼I'L_ h;lsq Í$h'rsh §Hl q ~ _plÄ1hLqxÆÏ_NÇ#º|kmq¹lo¼H§ nZ~ _Ç^_Ën r ~ rsimq `K`K`¨_r qx~ imuCp B
qp\lo`_p‚;lLkm_&_ ºL%imqDpwLim_<½ hLKqxu$t;qu?rsq qx\ im_#u¹§Hu›?w _pJlo¼ h;~ ƒ1_p‚ t ~ ~xlo~ _Ny;h;km_p` _u~ Í _`¨\ imr©p \imh;Cu_B^hzrsÍ$y;imqkm_#\ lohh;r _@A Ø qx_l`1plt;`Kkmqxim‚;‚ t;~ q›__$pimq ux\ imlo_hb` `1ijhtFkjÄ1q›im‚;ÆHÇ^kmijËp4rsr qx~ imimloq h/\ `K³?_W_rsqxp im\ p
no€ _Ø h;__ h'~ rsi qx§imloq \ hX_p_loºLux‚qxuN_ È~ im`Ä1_ÆÏÇ>hLLq›u#É^ÊxuxËtFnÍ$nim_Nq ux\ qq q \ \ _r©qyzql\ tF_1uxq r~ lØ ‚_ ~ \ rs_noƒ;_,lhFy;ijimpKq#p`lo`_q \‚;lLkm_ƒ ºLimr©qDw1u)imrsu#k ~ km_W_rsu›ƒ;ubw'q \ `rshÅ_Nh|Ä1q›imlÆÏ>Ç h;L _É^ƒ'ʛËimh ³zq ®¸\ ·Nij±¹u ½
`Kƒr©_qÀq r\ lLu›q ƒ~ tFimu$pqxkmt ij`K~ _imuqx_lsƒ1§q›uxl1imª_uxq lo~ t;h;p_q›`t ~ im_kmukjimlol©h/§Z½ u›imª_)rsyzltFq$lh;_q \ lt;u?rsh;ƒ/³zrsh;ƒƒ;lL_uh;lq#r©kmkjlsÍ qxl1n_Nh;_ ~ r©qx_
[*~ w|imh;nqxl1\ tFux_
»l|r©qximh;ns\ ¼D‚zlimhLq„~ hLt;\ `1yz_ ~ u$\ imh;~ u›qx_Wr©ƒ \ ls§r ~ y;\ imq ~ r ~ w‚ ~ _pimuximlh ijhLq›_n_ ~ u#imu#rhr©qx~t ~ rsk
imy ƒ;~ _Wrs0r h;B1p \ rs_Nqu_Wr rs~ p _1‚z‚zllu›imuxhLimy;q,km_l©½§#q [$\ __ rs~ _ kmn§Hl l ~ _imq imq,`2imu,Í _h;_ lot;_¨n r\ pq›lOl'Limph;_ lsͅrsÄ1u,q›Æ¡kmlÃlonZyzÇ^_Ë`y;rsimqxƒ;u_³vls§$lhFq \ kjw'_KÄ1pl ÆH~›Ç^~ Ë
_u›ƒ;‚NiloM h;_ ƒ;_imh;hLn q
‚P ~ r©liy~ r©uxloy;h/imkm³;ijq›rsim_hFu$ƒ¨qxrsl1kmu›yzl)_)imhÃrsyF®¸kj·N_
± BRq›l1QTS^ƒ;¤;_pš
imƒ;œÀ_,¥o¢ imh^L`£ olo£HuxŸ¡q¥ pWrs£Ïu›Ÿ¡_¢)uW½ šNžb[$œ?\ ¥oimu$mijU¦ ƒF_W?VšrͯLr©™u#£m¤;rsš4k ™#~ _4¦orsš?ƒ;œWwK™›Wš ©_ºLžšÀ‚ ?¦ ~ _XYu›oux£„_ƒ'£m¤;imš,hÅ&š ®jZŠNPˆ4š ± yLžw š
¥noYVi Ø ,_„¢loh;Ÿ km w)ožrœ4{Ltmšrsu›j¥©i ¼DžÀt;žh;¥
i­§Hl  ~ ` Ÿ no¥™N_h;¢)_ Ÿ¡~ £\rs[Y]^qxl ~ [#³oy;ot;žŸqim`q*_ imu*¥‚£ÏloŸ uxux imy;;km¥_$Ÿ q› lb£=no_™Nq„Ÿ¡£j¤Fr ¢)~ _4š4rs£ÏkmŸ¡kmœw,žat;aCh;aYi­b §Hl [$~ ` \ imu/n_N`Kh;__ q~ \ r©lLqxl ƒ~ Ít;luxt;imh;kmƒn
œu›?qÀš4rs™hF£HŸ ƒcr š?~ ¦ƒ »®ml|Šr©Š›qx±xim½$h;¬n©¼ ‚zijq l\ imhLq q„\ r rs~ q#imq im\ƒ;`K_4r;_³zqx¾#impu4k¡rs³sim§Hh l ~ ¿__º;h;rsim`Kux_
‚;nkm_$lqimh|imq›hX_ ~x®¸Ø Nr©±Îk r©r h ~ im_&q %\ `pim__q›hLijqpNu*t;§Hh;li­km§Hkml ls~ Í$` imh;non#_q h;\ _ _ ~ rs$ q›€l €~ €8t;uxŒimh;°©nˆ
»ÍlL_rsu q›\ ijhFlsnsÍ ¼D‚q lo\ ijimhLu q*\ rslo‚;km‚ƒ;~uls§HºLl ij~ `rsrskmq›k^ijplok¡h;r©uWux³›ux§Ï_Nl u#~ lsux§loƒ;`_N_plp`Kk¡r©ux‚uxlo_NuÀurslsyF§ kj_~ r©uxqxq im~ lt;hpr©q›kt k¡~ rs_NhFuW½ntr©n_u4½ $ hq \ _ΧHlokjkmlsÍ$imh;n$‚r©‚_ ~ ³
d t ~ plhLq ~ imy;t;qximlohÅiju
qxl ‚ ~ _ux_Nh|qr h;_Í r©kjnol ~ ijq \ `§Ïl ~ q \ _Kt;h;i­§Hl ~ ` ~ rsh;ƒFl`!n_hF_ ~ r©qximlhÅl©§
ƒ»;_NlLprslq›`KijhF‚ns¼Dlo‚uÀlorsijyFhLkjq^_pu›loq `~ tF‚;ptFqxt qÀrs~ _q›uimlt;h;uxu/imh;r©h;nƒ,»zq l|\ rs_¯q›imr h;Ø ns_ ¼D~ ‚r©lonim_h|qÎy;imh|q/tFp`1lo`y_ ‚;~ kmuW_³FºLqximlqDw$rslshz§rslokmtwLª~ _#r©km‚ n~ l _~ pimimq ux\ _N`'kjw½ q [$\ _,\ im‚ u~ rs_kmpnimluxim~ limqh\ l©` §
imr©u/h;pNƒÃkjlou›ux‚_rsq›pNl$_l½ ‚;}*q›im~ `¨_ Ø rsimkNlo§Ht;l ux~ kmew q \ 'Lr©h;q^lspÍ$k¡rshÃuxu4rs³kmrsnou^l im~ q^imq _\ º `\ imuy;im̈́q›u_ ~ r_{L_timqrs\ u›i­_ ¼ ~ kmimh;kmim_W`r im~ qxp_Nloƒ`qxl‚;kmu›_`¨ºLimqDrsw$kmk^yzplk¡r©q \ uxuxij_Nhub_l©ºL§„‚zux_q p~ q›t;_pNƒ)qxt q›im~ `_Cu _ B
yq \ r©_k¡rsw,h;ƒ;pim_NƒƒÃh;‚lorq ~ \ _rhLØ q \_„_ruxim{Lu,tu›rsq u›~ i ij¼DhFkmimnh;u_Wr imhX~ q›®¸im‡4`±x³ _*~ l _~ nou›t;‚k¡rrs~p_k¡rsph;lono`t‚;rskmno__ºLu#imqDimw.hXB;q®mŠW\ aN_¯±x³zr©kjuxnolol `~ ij3_ q \ 'L`imh;uFƒ;‚ u~ lslo§$‚loq ~ux___ƒu,yLimw^hXg®¸aNim
±pWf^'o_l w ~
\r©h;r ؃X_¯µÄl ÆH\ ~>Ç _NkÀh ÉvÈW®jˊ hNÆ ±b~ _Æ u›~ ~ ‚/_½|ux\ ‚vĽ ÆHPÇ^Ìrs˛iË*~ u›uxl‚~ h8r©p®m_$Šˆ4plo±HË`§H‚;l ~km_~ ºLpNlimqDhLw|qx³N_l ºL~ q¹¼HÄ1§ ~ ÆÏ_Ç^_Ì^k¡kmr©lh;n nÌ tÇ^r©Ë„nÆ _~ u_u›Í$‚/im½L~ q Ä1j\ Ø ÆHi Ç^Ìh;\ ˛lË*hLqxq›im_ `K~ `K_pijhzlrs`Kkmu#‚;km__imºLq \imqD_ w|~ ½
l©e§Zloq km[$\ƒ;_Í$\ _,t~ _‚pN` trs‚z~ u„u›_ i ~rsØ km_)imnul `Kl im_~ q qnL\ rs`l|h;ƒvimª®¸½‹N_N±ƒÃÍrsl u'L§Hlu$kmkmimlshÍ$kmuWijhF½#_W‰Pr _puxqx‚imlor©h p_a ³zy;~ _t;pWqr©ƒ;kmkjlLu_y u#~ hFim_?l»zq$w im`q \ ‚ _luxq?rs_$h;q ƒzr _,~ ƒ'qxim`Krskm_#nl p~ loim`q \ ‚;`km_ºLrsimhFqDƒw
imqxupl`K‚;km_ºLimqDw|½/‰P_pqximloh ‡ ~ _pWr©kjkmuuxl`K_#yr©uximpuxq?rsqx_N`_hLqxursyzlt;q»zl|rsq›imh;ns¼D‚loimh|qr ~ imq \ `_q›impbrshFƒ
lIm óé^ëÏç¸ïH
ó no(pq
r0sIt#jêN.ë noupq
rvYw lyx tDÿ4é^æsç Dæ#ç¸è^íð¸èÏêèHê $ó›ïHç $ó›è;é^ëÏç¸ïHïÏó RnzNoupqt{o
|ÏèÏê jï yn~} sêïÏíïÏç¸ê t:
øvø
~€C&‚
ˆ
Ÿ ,š Ÿmžš o/Ÿ¡¢¢šW™¢+ 0
lhF_blo‚_ ~ rsq›imlh
‚ ~ r©~ _k ‚ ~ lLp_NuxuximpNh;ln hLqx_ºLq¹¼H§ ~ __ lhF_bno_h;_ ~ rsq›ijloh
n
N
_
;
h
_
h‰Lp \ l@ rh @A Ø\ _ rsn_ Ä1Æ Ä1Ä1ÆÏÆÏÆÏÇÇvÇ#ÌÀȹkmÉ^É^loÊʛnZËË Ç^Ë›Ë Ä1ÆÏÇ^ÌÄÄ ÆHÆHÇÇ>ÆÏLǍÉ^É^kjÊÊxloËË nÇ^ËxË Ä1Ä1Ä1ÆHÆHÆHÇ^ÇÇ^Ì?Ì?Ì?É^É^É^ÊxÊÊxËËË Ä1ÆHǍkmln„Ä1Ä1Ç ÆHÆHÇÇ^ LÌ?É^É^ÆÏǍÊÊxËË kjlonÇ^ËxË
[ rsy;km_ŠBKijq$pNl`‚Fkj_Nº|imqDwls§*q \ _,u›qÀr©h;ƒr ~ ƒ rskmnl ~ imq \ ` Í$imq \ k¡r ~ n_ijhLq›_n_ ~ r ~ ijq \ `_Nqximp½
~ lt;h;ƒFijhFn1`lLƒ;_u4³;rsh;ƒ rshzrskmwLª_u$q \ _b~ _ ~x~ l ~ ‚ ~ l‚r©n|~ r©qximlhKƒ;t ~ imh;~ n1q\ \ _‚ ~ _N‚ ~ lLp_u›uximh;n‚ \ r©ux_½ [$~ \ _\ h
`K_‰LºL_N_‚zpqxqx_ imimp~ limu4h`K³/r1ˆ1_hL{LuxqÀqÀtrsr©kvr©qxuxƒ_i­urs¼ tFq?rsrh;h;i­§ƒ§H~l l~r©``hrs‰LkmlwL_h;ªpN_1_qxu$imrslh;qDh ̓Ű;l r½²vr©~ _Wh;ijrshzƒ;kmrslkmwkm` kmw|t;³Lnh;‰L_i­_h;§Hlp_ q›~ im`rslq›h imllhFh _prs½ lkmhFn[$pl \kmt;_imqƒ;ux_ _`u~ _ursuxh;t;tFƒu›kjq›imh;uxu)q?nrsr q›~»__)l|u#r©pNu›qxllimh h;`D n©~_¼ `‚zlol_‚imƒ'hL_hq„yLr w{Lt;imq q _\ u¹_ ¼¼
q›ijloh;uW½
R( ). * ,-5
Z @ "
[$\ _u›qÀrshFƒr ~ ƒ<rskmnl ~ imq \ `c r©kmuxl'`~ _hLqximloh;_ƒ \ _ ~ _Wr4§Ïqx_ ~ rsu ~ _N~ pt ~ u›i Ø _Ã~ r©kjnol\ ~ ijq \~ `2c ƒ;_u›p ~ imyz_ƒ
§imƒ;h~ imlum?` ®¸l·N±„imhLyzqÀq1rsrux't;im_pKh;uimllrsyhvu,?³ _imh;pNÎqx‚;§Hu tFl ~qÆ Xr‚ ~ r©plLh;lƒ;ƒ`1tFpy; qximu4hls³r©§#qxlu›imªi¡_Orsk^hÃu›‚r©_ h;pNƒ<i §HDzl pWŠ~ rsq›~uxij__loux{Lh/‚zt;³*__Nph;iDq›½ p_i Ø_½/u4_rK³kmw;n Ërsr© `h;ƒÅ§H`l ~§ r ~ l`1` Í$t;imkmq qxœ?im¥ ux_‚ q›žu£Ïl|™ƒFrsLh;t;œW£ÏƒpŸ¡qx¥ im"lo!žh;u,Æ#$`¨ r©§H§Hƒ;ll _~~
ƒ;ž\£i ~ _ p¦ qx_N™xƒ ¦'plowLh;p_km_³vuÀÍËN½ \ _ [$~ _\ _r©kmrskkm‚nl~ lL~ imƒ;q t;\ p`2q›u)̈́r l ~ ~_1'Ly;u1imhrsu
r ~ §Hw|l³^kmkmr©lsh;Í$ƒÃuCB1q \ ²v%_ i ~ uxq$q &~ rsh;u›k¡rs'³ qx_Kq ^\ (³ _K"ux!‚z_#piNDppWlr©hFqximuxlq h8~ t;imphLq›qxijlolÃh;r u
\[$r \ Ø _yz_\ _h ~ _N‚;k¡rsp~ _ƒ8Í$imq \ q \ _`¨r ~~ 'Limh;n¨r©h;ƒXt;~ hF`¨r ~ 'LijhFn¨pNl~ h;u›q ~ tFp~ qximlhF?u ~ Frsh;ƒ F)vȨ\ Æ ux__Å®¸·4±HË~ ½
l©lo§¯y?lo_N_yh¨p?qKq_pt;q›_#h;u,i­u›§HqÀlsl r©§#~ h;`r1ƒkmrnowÃi ؃r©_q u›h'‚~ _uxrsimpNh;ªi Dz_1ƒ;pWlonrs`Ã_Nq›h;ij½ lo_ h~ [$r©qqx\ __r©ƒ'h;pux§ lo~k¡r©`lqx`_‚;ut;rKq?ƒ;rsinoq›i _ijØ lopN_hÅqxh'kmw1lsh;§,imlh|rshLq›kml,¼Dk„qx‚_ q?~ rs`l|y;pNkmim__hu1ƒ;r©t kDtF³;‚ _l u$~ q›§HlçHl l u›~ impNªnl_ _t;h;hLÇ _ qx~ im~rsh;_q›n
{Limh;t;q ni ~ __luh;hLt;_Ä1`1uxÆÏt;Ç^yzp ÌW_ \ Ë
lo͂l _ ~ ~ uxrsq#q›p4ijlorsh;ux_u,t;lou›hÃimh;pn1lL_&q %\ _
pNijy_Nloh|t;q›uWux³*q ~ q l\ ‚ _\ hÅ_ƒ;llohFh;_ impb~ rs`KhFƒ;_ql\ `2l|ƒvn½ _h;_ ~ rsq›imlh'h;__ƒ;u1Ä1ÆÏÇ#kmlonZÇ^Ël‚z_ ~ r©qximlh;uimh'q \ _
*,+H”1—sÕ .-HÑ /+ϔ&Ò 0[$\
~
\ ~ \
\ Ø
q›t;i u›r©_k*ƒ/n ½ ~ lsP Í$l q ~\ _)Í$‚ im~ q _\Ãpim~u›__uxkmw|‚z³v_pim_qbqimimhLqxulqx_u qno\ \ _ls_1Í$puxhÅlLimª&_ ij_h8%Ç*p®¸·Nim³^_±„u›hLl¨q q›\ u#q rs\t;qrsu›q_q,\ ƒ r©_1himhpNl|r q _~ %y;_,impq rs~im_kmr nhL~ l qxw u im‚ q \ ~ r _N` Ø p_1imuxt;imuxu›limthŪrs_kmr kmÄ1~w ijqÆÏ\Ǎr `kjlo__Nnqxr©Ç^imp h˽¸\ Ì_r©ºLub‚zglq›_lh;h;_NpyhL_o_ ¼ ³
Í$Í im\ q _N\ h;ptF_$uxtq \r©k„_„{L‚ t~ _r©‚ ƒ ~ ~ l|r©pNqx_impuxu›ijrshFkmnnl \ ~ rsimq u*\ y;`imq¹u$¼ p§Ïlol `~ im‚;hLkmqx__ºLnoimqD_ w#~ Ä1r ~ ÆÏimÇ q \ `Kkjlo_n qxÌ impÇ^³vË/_Wrsr©hFp ƒ,\ llh;‚z__ n~ _Nr©h;qxim_ l~ hÅr©qxpNimllh uxq›\ursÄu*pÆHÇ^lo`Ìzkm‚;lnkm_Ì ºLÇ^imqDËw ³
~
\
\~
~ \
L
q›q›Ä1ijij‚FloÆÏh;Ç>kjwLu#L/imh;kmr lnK~ n _qD̈́h;Ç^llÃËq$³;Ç t;r©u„u›y;_u›ƒ/imt;q³F`h|q \tF`_,`1r pNylim_ ªt;~ _NuWhLƒ1½ qximijh;$hKhÅnq uxq _N\ _{|_1q?tFrsp_y;loh;kmh|p_#q›__yzu
ºL_uÀqDkmrs¼Ïls§ q›Í,~ im_NuD³L_§Hw1Í pWkmr©im_ h;ux__W_)³*r ~$Ä1Í ~ \Æ_ _ p~ t _1ÆH~xÇ^~ q Ëx_N\ ËÎh;1_ pux_q?rsu,h;ÃÍ$ƒFimursq h;\ §Hl 2ƒ ‚zl"q km!wL_h;#loplo`uxpNq$i¡lrsl©h;k­u§u›qp`1~ lLtFt;_?p?§¡k­¼¼¼
DpNij_Nh|q›u)Æ\J¼ ~ _pt ~›~ _hFp_u,l ~#\ lokjloh;l`Kimp„u›_{Lt;_h;p_NuÀ˳vq \ _ ~ _?§Ïl ~ _
q \ _,pNl|_%pim_hLqxu#p4rsh yz_pl`K‚;t;qx_Nƒ
3 þ ïHæsó*ò sð¸íõoóxð¸ ó›ô xíèÏóÿ4ïHæsó›ñ$ó ó #æsí ó*èH5ç 4›~ó no(pTt76èÏç xóïÏæsó 8ó só›ëHíNïHç "8jò ›ïHç¸+ê sèæsí ó*í s+ê "4xóxëÏêëÏíôsç¸òsè
ê #xê ,óxë 8ó D(ó 9í
è sêïÏç xóxôç : ;=<¡ÿWïÏæsó ›êW7ó > ›ç¸ó 4ïHèzèÏíïHç¸è jñð¸?ê 8&@?ACB p*ð¸?ê 8 Dl oEGFIH)oEWt\t9
þ
vø/þ¡ü
Ÿ N¥™¢ ¦¥¢$š š4™
o£HŸ ¥ ¥
,š?œ?¥¢P¥©žmš£Ï™LœW£ÏL™xšNž žŸ j¥£ÏŸ ¥Ÿ £™Ÿ¡£m¤;¢šW£ÏŸ¡œ/°
iml©hŧÎÄÄ1ÆHÆHÇÇ^ÌËkmll‚zn„_ Ç^~ ËNr©½ qximlh;uyz_qDÍ__hÅhLt;`1yz_ ~ uls§¯Ä1ÆÏÇ^Ërsh;ƒÃÄÆ¡kmln„Ç^ˍy;imq›uW³ziD½ _o½Í$imq \ r1y;imqplo`‚;km_ºLimqDw
Ønoi _¾hXh;~ rslh q \ t;_ ~h;k¡‚rsrsyz‚z[$__km\ km~ _ƒÅ_ºLuxqxq?_rshFh;ƒ;ƒzur q~ \ƒ imu#ux‚zq›l_pt;iNØDhFpWk~ r©r©qxyiml_Nkjhvkm_³ƒÍ$loim~ qy\ ?_t;pq›hF\ uijlo®¸h/ŒN±x³v½#‚ ² ~ ~lLloƒ;` t;pNh;qW³lsÍ `rl~hv'|³;imh;Ín _,r©uxt;h;‚FƒÅ‚t;loh;ux_`̈́r ~_)'Lrimh;~ _n
ploh;uxq t;pNqximlh;u4½ _k r©y_Nkjkm_ƒKpWrsu›_,imu _ wu›ij`Kimk r ³sÍ$imq r©ƒ;ƒ;imqximlohrskzy;imh;l`Ki¡rskLplL_&%pim_hLqxu4½
6 -N)*45Á%')4,?Î@¨ $*"3"
²vhi ~ pu›loqW³L`͂;_ t;~q›_N_ pW~ u4rs³kmkzruxl»`Kl|r©_„qxim‚ h;~ n©l¼ ‚z‚z_ l~ imqxhLim_qu$hLlst;§^`1»zyzl|_ rs~ q›imimh;u„nsno¼D_‚h;lo_ im~h|rsqkmkmr w ~ im~q _N\ ‚ `K~ __u›qx_imphL³oqx_rsƒ'uu›yLqÀwrsq›q _\;ƒ1~ _§Ïl_ ~ Ø _rsº;kmt;r©`_u‚;Bkmr1_ijžh Ÿ ®¸°F³; ŠW"‡ !±¹½
#%$ %Š &W(Š '|³;rK¢ £ÏŸmž?ž *) ³;rsh;ƒ r©hÃ&š Z&;¥ š £ + ³Luxl1q \ rsq
,.- /) 41a 03254
\
\
~ \
~
~
h;¿9 lot;³7q_:nqxi³lØ ;_q _³=º;_b< rskmpim~ `q _ux~ im‚z_q›u›__t;ƒ)pkmq›qxu›i uØimª_im_kmhw|ls³×n§_Í qh;\ _ _#_~ hÅrs`kD½ rsrs‚; hL‚;_qxkmimq*imu›_t;uÀƒr;u³Lƒ;qxr l_hFim»q ll|qxr©`K_oqx³|im_r©h;qxun©imp$¼imh‚zll‚z®mimŠW_ hL‡Nq$±xrs³sqxhLqimt;lo\ `1h;_$u„yylo_rshK~ u›uWijp»½ l|l[$r©‚z\ qx_ im_ ~ h;rsns$ qx€¼Dim‚zlo€lh;€ imu hLqŒ°©hL³ ˆ1t;$ `1ux7³ q?yzrs6$_h;1³ ƒ8u„r ƒ;yL~ ƒwl
®mŠŠ›.± Dzº|_Nu$q \ _i ~ ‚ ~ _pimux_yz_ \ r Ø imlt ~ rsu§ÏlkmkmlsÍ$uW½/²Fl ~ rshLw1r ~ yFijq ~ r ~ w»lLrsqximh;n©¼ ‚zlimhLqhLt;`1yz_ ~ u >1rshFƒ
?³
> 9 ? - @;AÆ > ? Ë &
>B: ? - @;AÆ > $ ? Ë &
>B; ? - @;AÆ >C6 ? Ë &
>B< ? - @;AÆ >D8 ? Ë &
\~ \
\ Ø ~
\ \
\
\ ~
qÆA\J1Í _,˳o§Ï_ ll km_„~ kmlsq qxÍ$ls_Í$ijhF§Hr n,t;~ ƒFhFluph;qx_N imCulIBEh ~ @$lÆAK1imt;u*h;Ëq ƒF½ ij_$[$hFn1rs\ pimqxu„q›lsi `KÍ$+_ r _W~rsQ ƒFh;lou#u*t;qq h;\ \ ƒ;_,rsimq$h;h;nrs_WhLr `~w,_lLyu›ƒ;q,r©_ uxhLbzimt;p#³`1Í lo‚y_im_ p ~ ~ rsq›GÆ pWFimrslËNhh1³zqxyllsh_Í$p »zr l|~ lƒFrsu›7uq›_imh1h;h nsyLGÆ ¼DH
w‚loqËim³zh|_qxq*lst;hLÍ$uxt;_r `1~ ƒ;rsyzu `K_ $~ luÎh;I ijnu
‚zq›l_ ~ rs§Ïln ~~ `K__,_Í$ƒ imrsq \u$i­q §\ im_q$»Í$l|rsr©uqximƒ;h;lnshF¼D_,‚zlÍ$imhLimq q \ ~ _r©‚ h~ _ijhu›_DhLh;qÀimrsqxq›_iml‚ h/~ _½ pimuximlhv³rshFƒq \ _h q \ _ ~ _uxtFkjq ~ lot;h;ƒ;_ƒ ijhKl ~ ƒ;_ ~
$ \
~
\ ~
~ $I
~ I
Æ_${LhÅt;i § Øh
r©r©pq kjqW_N³*h|imu*q$u›ij‚q›hFrsl)p‚z_q _ \ Í_,³_1Íq›lsÍ$_„ͯimÍ$kjr kÎim~ kmyƒ;k7u_loh;h
\ kmwrs`h;ƒ;lLƒF_Wƒ;kjrsim_h;kF½¸nËÍ$ij[$loq h;\ km_wÃqDuxÍ_‚zl l`u›llLijq›t;ƒ;i hFØ _ƒ;_1uimuÀh;hLr©n#t;qx`1im`KuD§Ïyzl|w|_ ƒF³©~ §H_u4l uC³/~ B^q q›r©\ lshL_ͯw q›r ls~ _Wͯƒ;r©ur k/~ hLƒ;t;u `1$rsyzI h;_ ƒ~ ,v`qxls³ LlLÍ$ƒ;r _ƒ;Í$u imkjkÎy_ ½
,/ƛŠ $ML OË NPJAÆ ,QË NP,
r©h;ƒ
,RNSKAÆ ,TË NP,vÆxŠ L Ë 4
q 4òsîsîêèÏç "8;ïÏæs<ó ›ê $îsòsïÏóxë4ëHó›îsëHó›èHó WïÏíïÏç¸4ê ^)ê VUç¸è sêXï W Ü YDZ[D
ß \^] _a`?Ü W=b èÏóx'ó :5E?E< b é^æsç DææsêNð¸ôsè jêNë|íNð¸44ò õóxëÏè
›ê sèHç¸ôsó›ëHó›ô„æsó›ëHóNÿèHç ›ó*ïHæsó›ñ„íëÏó*ç WïÏó 8NóxëÏè $
øvø
~€C&‚

R(Ÿ ,š Ÿmžš o/Ÿ¡¢¢šW™¢+ 0
$[ \ \ _ Ø rskmt;_ L imupWrs\ kmkm_ƒ q \ _œÀ¥o¢^L£Hš4™~ ^™x~ š?œ4ŸmžŸ¡¥ rsh;ƒ imu_{Ltrsk*qxlaLÈ )4³^Í \ _ ~ _ ? ijuq \ _km_h;noq \ l©§
q _,²F`¨l ~r©hLq qx\ imux_'u?ruÀrimh¨'_ q l©_§)»pl|lor©h qxØ im_h;h;n©im¼ _‚zh;lpNim_hL³q ̈́_N_ ‚ Í$_u›ijkm_khLqÀÍ r©~ qximimqxl_h/½ > 9 ? Æ ~ _Nux‚/½>: ? ³>; ? ³>< ? ˧Ïl ~ JÆA>I ? Ë
ÆK~ _ÆAu›>C‚/6 ½1J? ËÆG³5> K$ ÆA? >Ë8³1?JË›ËÆA>½ 6 ? ËN³VJÆA>8 ? ˛Ëfsrsh;ƒE> 9 ? Æ ~ _u›‚/½ > : ? ³ > ; ? ³1> < ? Ëz§Hl ~ KÆA>G ? ËÆ ~ _u›‚/½1KÆA> $ ? ˳
[$\ _#§ÏlkmkmlsÍ$ijhFnb_4rsuxwkm_`K`¨r$Í$imkmk^yz_btFux_?§HtFk/imhq \ _ ~ _Nuxq#l©§q \ _‚r©‚_ ~ B
ÎÑ Å
– 0
?
?
¢S^¤Fš £ÏŸ¡ ¥ ž¨
¥ E> / š4£¦ >e? žL¦ œ?¤8À£jš
0¤ £ £>z¥ ÆxŠ ¥ $š CË £ÏNŸ¡ 4š > N |+¢ >?šW ™ 7ž ¦ ? Æx
¦ Š >e $ ¦ ËEN £? ¥ N ¥ ? Κ Ÿ¡£j¤ £ÏŸ¡ Wš+ & & ™›¥CZoh0Ÿ a
+
GÆ > ? ËÆ›Š $ `¨rsº;Æ & Ë $ L Ë N > 9 ? N > ? &
AÆ >C6 ? ËNÆxŠ $B$ $ L Ë N > ; ? N >C6 ? 4
#Ç8Ÿm^
ž [ ;¥sžŸ¡£ÏŸ¡ 4š L+¢ Àš4™,&š ZoœW£ u[1™›Iš ^™xšNžš \£ )jš Ÿya¡š a/Ç N a „£m¤;š GÆ >"6¨Ç^ËNÆxŠ $ $ L Ë N > ; Ç N >C6
Ç &
ÆG>8Ç^ËNÆxŠ $B$ a L Ë N > < Ç N >8Ç
4
!"5$#
5T [$\ ~ _1rsim`…\ l©§„q ~ \ iju~ uxt;yFux_pq›imlh'iju$q›l[$_u›\ qxim`¨r©qx_q ~ \ _)_ ~›~ l ~ Í\ _)no_q#Í \ _Nh pl`K‚;t;q›ijhFn)q \ _)pNl|_%pim_hLqxu
ƒ;t imh;n1q _b‚ _‚ lLp_uxu›imh;nuxqÀr©n_½ _`¨r©ijh _uxtFkjq$imu$q _§HlokjkmlsÍ$imh;n>B
%•s
Õ -Õ^?“ +ϔ +H'Õ & 0)( všW £*Æ+*-,%&.* È &/4 4/4*/,ËR ?šb£m¤;šœ?¥¢+WŸ £Ï¥™Ÿyž£Ï™LœW£ÏL™xšœ(sž?žšž=™›¥¢ ,ž£\ ¦™x¦
\ž ;šÀœ4Ÿ c&œ o£HŸ¡¥ ^ ¦ ¦oš ¥o£He
š [10.243 5b£m¤;š L¢ ?š4™1
¥ ž£H™Lœ4£HL™›šž)¢ Y¥ 1£*m¤;2Ś,Y¥ œ?,¥¢ ž7Ÿ 649šL\£ 8Ya?£ÏŸ¡¥z  Y¥ P7¥©žš¨ Ÿ¡£m 4¤š o £#0.£m24¤;3 š 5
*'2 o™x𥙛¦š4™xš?¦Ÿ ž Lœ??
¤
:`[,£m¤ o£ Ÿ £j¤Fšbœ?¥o £HŸ G ¥o™Ÿ¡£m¤;,
¦oIš ;š ¦sž1¥ ([¥ £m¤;"š 0.2<;=3 5>Ÿ £j¤ hCN@?BADC@?j ¦ ¥ £j¤F"š 0.2E;F3 57;>Ο¡£j¤ hCNG?HA
N ) U¦ h"NG8IAJC8Ya
9š,ožš _ ¥£ÏŸ P¥oŸ £™NŸ¡£j¤F¢)š4£ÏŸ¡œž1Ÿ¡£m¤ ™›šÀœ4ŸmžŸ¡¥ L ¦¨£m¤;š™x¥o ¦Ÿ £Ï¥K~o™x¦©ž $I ¢)¥4¦š£H¥
œ? ¥ ¢ ¦ ^L™x£Ï¥š 4Ÿ¡£j¦o¤FšÀ"š ¦10.£m2K¤ 3 5o£ ¥ ™ ¥h*¥o WNLš4™ _? K¥ N X) ¥4œ?œW L ™?¦ž¦h*LN@™Ÿ 8 N £j¤FÇ š,œ?¥œ?¢ œ?¥ ™›L¦\£ Ÿ £Ï Ÿ¡¥ £H ¥££mm¤;¤;šKš œÀ¥o š £H Ÿ šW£ £Ï šW¢ < (™›C¥£ÏšZož1Ÿ¡+¢ Ÿ N£ÏMŸ¡O.¥ P 0 243 5 ¥
Q0 243 5 žLœ?¤Ã£m¤o£
0 243 5 ÆxŠ $L 243 5 O
Ë N 0 243 5 N0 243 5 &
Ÿ £j¤
L 243 5=- 1a )R8 Ì L$ a;GÆ ) $ ?;Ë 8 L &
©žÀžL¢Ÿ Ÿ ¦¦oŸ¡£ÏŸ¡¥ £m¤ o3
yŸ a Cš a~o™xš ¥`
£ u™ š4™£j0¤ Ua £ - G1a #8 L£j¤Fa š œ?¥Wš S8œWŸ¡š £ ž¨Y¥ ž7Ÿ 64Tš 64š4™x¥ 0 243 ,'Wœ ?š ™xš ™›šžš £ÏšÀ¦Å&š Zœ4y£ ([
%•sÕ^WÕ V?0 ¬Å_‚ ~ l Ø _$ijq*yLw,imh;ƒ;tFpqximlhl:
\q rsq#r©kj'k 0 243 ,pWrshyz_\ ~ _‚ ~\ _ux_Nh|~q›_ƒÅ_º;rsh pNqx?km~ w|rs³Lh;iD:ƒ ½ _8x½ ~ ½ 0 24[$3 ,\ _-X§Hl 0 24~ ~ `13 ,bt;r©k¡h;rƒ imu*L q24~ 3 t;,_\- §Hl hF\ ~ ½ 87- h\ uxim~h;p_$Í_$uxt;‚F‚loux_ƒ
«lsÍ8uxt;‚;‚zlu›_#q rsqq _$§Ïl `1tFk rimuq t;_$§Hl rshLw‚rsi Æ?HA &Y8IAmËu›t;p q rsq_imq _ h N?BAZC?1rshFƒ
8IA-[8l ~ 8+ADC\8x³;rshFƒ¨km_q$tFu$‚ ~ l Ø _bq \ rsq$imq$imuq ~ tF_,qxlLl§Hl ~ Æ ?&.8ÏËÍ$ijq \ 8 н
] þ õsíèHózï¡ézêsÿïÏæsó ^ëÏèHïFõsç¸ï|)ê ïHæs
ó $û í 4`ïÏ;ç¸5cèHèÏbí^+&õó›4ç ò"„8/íõoð¸óxézëÏè^í?ñWæsèLí ê seó #ó d mêBgëLí f&€©sÿ+ê õs,òs 4›ï/óxëÏê ê sð¸s1ñ êëf$$íõsð¸ç¸5ç ïÏ4xè/ó›ô íNëH4óò „ió hLõoó óxxë›ïÏÿxç ç¸ï;ó›ð¸ç¸ñ„è;òsèÏïHèÏêNòsëHíó›ð¸ôLñ ÿ
sêï*ëÏóxîsëÏóxèÏó 4ïHó›-ô $_sêë*ç sèHïÏí xóNÿWïÏæsó„a
í s"
ô j BekBl 3 þ
vø/þ¡ü
Ÿ N¥™¢ ¦¥¢$š š4™
o£HŸ ¥ ¥
,š?œ?¥¢P¥©žmš£Ï™LœW£ÏL™xšNž žŸ j¥£ÏŸ ¥Ÿ £™Ÿ¡£m¤;¢šW£ÏŸ¡œ/Œ
$ §*2 - l ~ *2 - ¯³Fq \ _§Hl ~ `1t;k¡rimuly Ø imlt;u$u›ijhFp_ L 243 5=- h§Hl ~ r©kjkZ8›½
$ § *'2 -*'2 a*'2 q \ _h 0. 2K3 5- 0. 2 i3 5 9 0. 2 3 5*rsh;ƒKyLw _``rb‡F½mг L 2K3 5 N8`¨rsº;Æ L 2 3 53& L 2 3 5HË& L ½
¾#a1)RuK8Hh;Ì L_pX_u›aFuÀr Æ?~ imkm$ Gw Š ? $È & ?)KÌ Ëi8 N L ? L $ N Ša1³):q \ 8ÏÌ _L h<XtFaFuximÆh;? nÅ$ q \ )_ÃËi8 imL h;ƒ;u›ijtFhFppqx_1iml8 h \ wLŠo‚½ loq \ _NuximuW³$Í_ no_q L 2K3 5*N
$e
\
9
§Í \ *'_ 2 ~ _Q- >*imu2 hl ~*'2Š„r©qh;ƒ _?h im0.uD2K8 3 $57- Šl Æ ~ 0.2 8Yr©3 p;pl 0.~ 2 ƒ;Yim3 5h;) nqxË l#q Æ \0.2 _ .~3 _Évk¡rsÈ qx; i Ø 0._2 Y‚3 5 lo) ux imqx)/imÈloË hb9 l©§4/4/? 4 9 & ? Æ 0. 2 Í$.3 imq ; \
0. ~2 _u›3 5 ‚)'_pNËq ³
qxNl u›ij?^hF½ n,K„q \ w _ imh;_ƒ;`t;`pq›r)iml‡Fh ½mŠ\ wL̈́‚_1loq ƒ;\ _N_ƒ;u›t;imup_1ni qØ \ _Nrsu q L 24L 32K5 3 5ON N a*``¨rsr©ºº Æ L Æ2 ÏË 3 L Å Æ L ? 2 $ 3 5 > ) ÅÈ Ë ŠW Ë Ì L Æ ? Í$$ ijq \ > Æ HŠWOË Ë L- ½
$
$
$
$
[$\
Ø \
`¨) Ïr©Ì º|im `t;Æ? ` È imu )~ _WËrs(p \ _ƒ ) _ÆIim8 q \ _ Ï~ ËxÌimh 7Æ- ? Ì >l ~ )KimhËÆI8 - Ï? ˳;½ rsh;ƒ_ͧH_ tFh;\ pr qxØ im_loh q \F~ _Æ _,ÏËp4yzrs_ux_Nimh;u#nqxl1plu›h qxt;ƒF_Nº w ³×B q _
? È & ? Ì C?^³;iD½ _X½ >E- h1rshFƒ ? - 8›½ [$\ _h GÆ >LË#r©h;ƒ Æ ? Ë#r ~ _,yzlt;hFƒ;_ƒ yLw )R8HÌ <Æ ? $
$
L
L
$ $
L
L
L
$
L
r©Š n|rsim)hË 8 8x³ r©h;Šo½ƒ 2K3 5 N %a ):8HÌ Åa;Æ ? Š )Ë 8 8+Æ 8$8ŠWË N 1a )R8HÌ ÅaFÆ ? )KiË 8 uximh;p_
? È C ?8rsh;\
ƒ ? Ìuh; lq
?<‚Æ loq ux\ ux_imy;pWkm_Kr©uxux_ imh;? pNÈ_R0.2K3 5$?8ÍrslhFt;ƒ kmƒÅ? ̃;_NC‚_hF? ƒÅiju§ ~ luxim` `Kij0.k¡2r ~ 3Ë5ϳv˽ iD½ _[$½ \ > _h - ŠÆG>LrsËChF- ƒ
? - 8)Æ - him
) IÆ 8HÌ $ <a 8&8a'Ë Æ ? È $ )'Ë <Æ ? Ì $ )Ë+Æ 8 $ Š4Ë$rsh;ƒ Æ ? Ë - )R8HÌ Æ ? È $ )KiË 8x½ uximh;n
$ $
$
$
? È N? $ ŠrshFƒ ? Ì NS) noi Ø _u AÆ >L
Æ[$\ ? _ Ë ~ _?N §Hl ):~ _ 8HÌ'L X243 5 Æ?N $ 1a )RŠ $8HÌ L )XË8xaF³oqÆ ?\ t;$ u`¨Š Ë $ rsNPºz)KÆ )RiË ÆG88HL>LÌ Ë & 8Æ ÆL ? ? ˛N Ë1aNŠ )R):8H)KÌ 8HL Ì'iË X8GX8aFÆ? Æ AÆ ? ) $ $ !Š )$ ? Ë )K8 L Ëi½ ŠW8/ËNu›ÆximŠ h;p_)8HŠBË$N\rshF8xƒ ½
? È &? ?׳^iD½ _o=
½ > - Š1r©h;ƒ ? - 8 $ н1‰Limh;pN_ ? & ? N ) ³^q \ _hÅ`¨r©º;Æ GÆ >LË & Æ ? Ëx"Ë N
) ÆI8HÌ Ì $ a<8"Ãao˄r©h;ƒ L 243 5 N a%) ÆI8ÏÌ $ a<8'aË L XÆ+8 $ È Š4Ë Ì L ½ [$\ imu„p4rsux_pWrshFh;lq \ rs‚F‚_h§Hl ~
8-…Šyz_pWr©t;ux_1Í_,h;_N_M
\L r Ø T_ ?- h L\$ _ ~ _KuxL imh;pƒ _K>*q \$ NH_ D ? ~ uxu›L lKq)‚q \ ~ $ lLr©q#ƒ;t;q L p\ q›_)imlu›hÅt;`imu,im_u$Lim$q h;\ l_ q~ ª* _L ,~ <l - f^imL hÃÃr©l ƒ;~ ƒ;* imqx, imlL - hK̈́¯_½ pW$ g#r©h;_hFh;pl_Lq
u›ij2KhF3 5 p9_ N 8 a1 ):a)8ÏÌ r©h;Nƒ a%):? 8 Ša;½ ÆHa 8ÏË) ÆI8 Š4Ë N a%):8HÌ a1)R8 ,aU8 N a1)R8HÌ a;Æ? )KËi8
$
§ * 2 - F"* 2 )l ~ F"* 2 - * 2 q \ _hv³ ~ _Nux‚z_pqxi Ø _kmw|³ 0 243 5 - 0 2 3 5 ; 8l ~ 0 243 5 - 0 2 3 5 < 8x³rshFƒ
L 243 5 N L 2 3 5 L l ~ L 243 5 N L 2 3 5 8a L § ~ lo` _`K`¨r,‡F½mŠ#u›ijhFp_,Í_,uxt;‚F‚loux_,q \ rsq 8imu$_º;r©pqxkmw
~ _‚ ~ _Lu›_hLqx_ƒ/½ $ u›ijhFnÃL q \ _ijhFƒ;t;pq›ijloh \ wL‚loq \ _NuximuW³ ? È C ?8rsh;ƒ8 ŠKni Ø _u1rsnLrsimh L 2K3 5 N
1a )R8 Ì XaFÆ ? )Ë 8 ½
\~ rsqq \ _ Ø rskmt;_$~ l©§ L ~ 243 5/imh }*~ l‚zlu›ijq›~imlh¨‡F½¸aimu¯~ r Ø _ ~ wK~ n_hF_ ~ r©k^~ ylot;h;ƒ/½ [$\ _ ~ _k¡r©qxi Ø __ ~x~ l ~

«
l
›
q
#
_
q
Í$‚zlimkmu›kuximny;_Nkmh;_,_ qxlr©kmpkjw'lo`yz‚;_t;kmq›ls_,̈́r,_ yzim_h qxq›_ _W~r©Ø k„rspWkmt;r©ux__§Hu4l ½Å~ ²;L 24l 3 5*yLrshLw1w t;ux‚imr h;nq›ij§HpNl t;~ k¡`1r t;k¡u›r©qÀurshFlsƒ§ r _ƒX`Kux`¨‚z_rpNi‡;D½mp4Šrs½ qximloh/³imqÍ$imkjkÎy_
$ \
Ø ~ ~ \
\ ~ ~ \ \ \
rlo©uxy;uxqÀlLr©ph1iji¡hFr©q _qxƒKi _bØ §H_r©l y‚~ ~l L lL2Kƒ;_#3 5 tF‚ \pq$llLkmÆlsƒ;0. §À2uγ©Y§H§H3 ll ~; q0.rs 2 hL_w13 5 pW) l rs~ u›ƒ;Ë >_ 9 _ *'~ 2 l© §- 9 plo*'Æ `0.2 2 ‚;..3 tF*';qÀ2 rs0.s q›2 ³oimYlÍ3 h/5 )_#³oƒ;imË×himƒ1ͯ‚r©h;r u*lo~ qxqpimlp_`KtFºLk‚;‚;r kmt;~ impqx_im_Nqimƒ/q q\ ½ _ [$_~ \ lq _\ ~ ƒ;_,_?_ §Hu›l _~ {Lim_$h1t;q _Í \ hL_„qximi¡yzpr©lk/t;lq hFhFƒ __
l ~ q \ _,yzltFuxq ~ l‚ \ _ƒ;lhFijp
lh;_½
øvø
~€C&‚
·
Ÿ ,š Ÿmžš o/Ÿ¡¢¢šW™¢+ 0
R( ¨ 5)#"
$ h q \ imuKux_pq›imlh/³Í_ÃF_uxp ~ imy_ÅqDÍl Ø r ~ i¡rsq›ijloh;u1ls§q \ _'pk¡rsu›uximpWrsk ~ _pt ~ uxi Ø _Å`K_q \ lLƒ l©§)t;h;i­§Hl ~ `
~ rsh;ƒ;lo` n_hF_ ~ r©qximlh/½ [$\ _eD ~ ux\qloh;_c ~ \{Ltrsu›i ¼Dt;h;i­§Hl ~ ` \no_h;_ ~ rsq›ijloh c imuh;~ loq\ ~ _4rskmkmwXh;\ _Í3~ B ijq
pploloh;h;uxuximimu›ƒ;qx_ u~ ij§ÏhXl ~ r©‚;_‚;º;kmrswL`Kimh;‚;nkm_ _º;~ lrsptFq›h;kjw'ƒ;imh;q nÅ_¨qxrslskmÍ$nor l ~ ƒ;imq u `$u$I l©Ë1§)im® h8·N±x³v‚;Í$k¡rsimpNq _ ls»§,lLrs_º;qximrsh;pNn©q ¼ ‚zr l~ imimhLq \ qb`r _imq›q ijpo`½ _$ q›qxijuKp‚ Æ ~ _N_ pim_uximÍlh _
\ _`rsºLim\ `rsk ~ _k¡rs~ q›i Ø _~ ƒ;iNM^_ ~ _Nh;p_y_NqD̈́~ __Nh q \ _‚ ~ lyzrsy;imkmimqDw \ ls§br~ noi Ø _hÅu›q ~ tFp\ qxt ~ _ qxl y_
cŽ
D
i
½
o
_
/
½
q
~
no‚z_lh;imhL_ q rs~ qx__N‚ ƒÃ~ _rsu›h;_ƒhLqÀqrsq›_imlt;h/h;³^i­u?§Hr4l w`…q \ ‚ _,lhLyt;r©`1y;yzimkj_ im~qDw
l©§cÂy;imuxqxq u$limhhFnq km\ w1_,ƒ;`_‚zrs_hLh;qxƒ;imu›uuÀrlhl©§Zq q \ _b_‚ »_lLprsimq›u›ijijhFlonsh¼D‚lslo§ijq hLq_hL»t;l|`1r©qxyim_ h;~ n©uW¼ ½
[$\ imu$imu$ƒ;_q?rsimkm_ƒimhq \ _§HlkmkmlsÍ$imh;nq \ _Nl ~ _N`ý
*ÑLÕz•sÑ '0 %•sÑ;"— +D?“ +Ï'Õ &Ŗ &Ö —©Õ .-ÏÑ /+H”Ò Õ V *–“ +¡Ó J& ++VxÕz• BÑ &*ÑL•s–;” +H'Õ & /š4£ ?š
Kœ(sž?žb¥Y,œ?¥¢+WŸ £Ï¥™Ÿy^ž£H™Lœ4£HL™›šž>/¤F¥sžš
ž £\ ¦™›¦1ž\;šÀœ4Ÿ cœ&o£HŸ¡¥ ¦o¢)Ÿ £¡ž) 8Š1œ(sž?žšža 1š
o™xš Ÿ Wš R;šW™ š?œW£v Ÿ ¥™N¢ š šWY™ £Ï¥™$Y¥ #
™ ¦¥o¢…™x&š L¢ ?š4™?7
£mo¤ ™oŸ¡£m£ ¤;¢¥šW£Ï¥oŸ¡ Wœ9š4™ _ Ÿ yK¥ 8 š ¥4 œÀš4œ4™
Lo™?£Hžbš+¦o1L™žŸ£Ï™LœW£m£Ï¤;Lš
™xš,œÀ¥o¥Y¢^žŸ7L64£ š#o£HÇ\Ÿ¡¥ „£Ÿ¡£m¤em¤;š,^™›š?™xœW¥L&™?žWŸ¡Ÿ( 4mžšŸ¡£\[?GšW £ / ¥™Nš?3 ş¡š £j¤Fž¢…hULœ? ¤ož£m¦1Ÿ ¤"Š£_ C¥ oR¦ £HŸ ^™xG¥ ; 4Ÿ¡¥¦oŸ šÀ¦ £
ƛŠ $ / 3 OË N W / 3 N ÆxŠ $ / 3 Ë )/È &
Ÿ £j¤
/ 3 - Ä1GÆ ) Ì Ç L a ) Ë
/¤FšW™›
š
-Š 8 Ÿmž£m¤;šK Ÿ ¥o™¢ ^™x¥ &W(Ÿ mŸ¡\£ [¥ 4š4™1£j¤Fš)š jš4¢)š £ žY¥ !
¥ ž7Ÿ 64š)'Ç 7 ¦ ? Ÿ ž£m¤;š
mš £m¤ ¥ £j¤Fš)+
¢
£ÏŸmž?ž Y¥ _ ¥ £ÏŸ ;¥Ÿ £ |+
¢ ?šW™ ž a
S^¤FšœÀ¥o¢>jš&ZŸ £['¥
£m¤;š+^™xš ™x¥4œ?šž?žŸ ž£\ š Ÿmž)Ä1ÆÏÇ^Ì Æ ? ËxË)£j¤FšN¥o™?ž£ œ&sžšœ?¥¢<mšWZoŸ¡£\[Ã¥Y
¥o™Ÿ¡š £m¤; ¢š šWšW£ÏŸ¡Y™ œ,£Ï¥ Ÿ¡P¥ š4 ™ oŸmž¯£HŸ¡Ä1¥ ÆÏǍ¥ +kjlon„_ ÇC¥ o £HŸ Æ ? GËx Ë;¥/Ÿ ¤F£ šW™›š L+¢ ?ƚW? ™?Ë
ž#Ÿm0¤ žb£m 4¤;Ÿ 9š Î¥™?+¢ ž£ Wœ ©£HžŸmž?š,ž œ?¥Y¥ ¢ <žj7Ÿ &š 64Zoš Ÿ¡£ ? [a ¥ [1ž\£ ¦ ™x¦
%•sÕ^WÕ V?0?$ h'l ~ ƒ;_ ~ q›l¨no_h;_ ~ rsq›_¨r1u›q ~ t;pqxt ~ _K§ ~ lo`pk¡rsu›
\
ŠÆ4‚ Ë~GÆ )lLƒ;t;pNŠ4qÀË/Ëp½ \ lo«#impl_uWp ³©\ _Wlorsimp p\ _ l©\ §rsq u#\ q›_Nl` yzÍ$_,ijq `¨\ r©r$ƒ;‚ _~ §Hll yz~ rsq y;\ imkm_imqD‚w$lo_ij{LhLtu q›ijrshF…kLnqxs
lÍ$tFim> h;q ‚< lou›imijh|ªN q›_imÆ¡h;u›Ç*t;n)³v`¨pN̈́lËN_h;³lu›`¨q ~ ~ r qxtFl'p_)qxYÆ im> lr©2 hFq; uW`½ ? l[$)u›\q)2 _ Ë ÆÏ< Ç > uW ³
?
\ Ø
}*~
\ \ ~
~ Ø
_u›_~› u)p~ llr©~hFh;ƒ lsƒ §#‚ rsr qu~ q`§Hr llokmuxkmimqlsh;Í$nÄ1uyGÆ )Kƒ;_i _N~Ç^hX_Ì p?pq›Ëkmlow1`Í$§ im‚;~ q lt;\ `…q›_ƒXq -…\ rs_,u
aPpÈ ijlo)'h `W½ ‚;km[$l_ºL\‚zimimlqDubuxw)imimq›`Knoijloi ‚;Ø h _kmijhK_N‡Fu$½¸ija;h'q ³v\ ®¸_W+_·4rs±xDp½ ~ uxq,p ‚zlr imp~ _1ql©imhL§¯q q \lL_)ƒ;t;q p\ __u1l ~ r _`'_½ k¡rs[$qxi \ __
~ _Wrsu›[$lh\ r©_¨y;rskm_$yzl uxØimª_ _~ Í$_\ ijuxq tF\ kjq1Q›uxnoq?i rsØ h;_u,ƒr q ~ \ ƒ_b‚z‚ l~ lou›uxn im~y;rsimkm`imqDuvwÃimh,q›l t;uxntz_rshFk;_ ~k¡rsr©hFqx_nt{Lr©tnrs_u›u4i ½/¼Dt;²;h;~l i­~ §Hl _~ º;` rs\ `~ rs‚FhFkj_oƒ;³Wlno`!i Ø _uxh)q ~ rt;pNuxq?qxtrsh;~ _ƒur ~ l©ƒ\ §
u›°o‚‡Å_pNÆ¡u›i DzqÀrspWhFrsq›ƒijrlo~ hŃ Í$Qximƒ;q lot;qDy;Íkm_ lbKp»k¡rsl|uxr©u›qx_imuWh;³*n©rs¼ ‚zhFlƒ imhLt;q#uximhLh;t;nK`1»yzlL_ rs~ q›u?ijËhF³vnsl¼D‚h;lo_1ijhLp4q$rshÅhLt;n`1_Nh;yz_ _ ~ r©uqx_ Í$im~ q rshFƒ;rl``!rslhLyqxim u›_uÀprqxuls§t;‚Åkj_Nh;q›nl q r
u›q ij\ ªNrs_hÅls1Ч,4¸C· ŠChshŠ hh h1L ,"Í$! Ëimq u›\ l1r q \ ~ r©_Nq$k r©h;qxl1i Ø l_Ø _ _ ~›~ ~ »l ls~ Í ls§$lLpl p~ t ƒ;~ _ uW~ ½ Šh)>L³/i­§$q \ _1pNl|_%pim_hLqxu1r ~ _1u›`¨r©kjkv_h;lot;n \ Æ kj_Nuxu
ð¸ê?ézl óxå^ë æsêNó/ëHôs"ó ó›#Wëí ïϛóxï;ë îs$ëÏèêõs+ê ísõsð¸ñ ç¸ð ç¸ï¡ñvôsóxîó sôê æsê?éézó/í xò òsð¸íïHóFïHæsó^îsëÏêWôsò ›ïH%è $'& BEo)*( &,+ (d A k &Ct.- /( AFÿõsòsï;ïHæsç¸èzí hLó xïÏè
þ
vø/þ¡ü
Ÿ N¥™¢ ¦¥¢$š š4™
o£HŸ ¥ ¥
,š?œ?¥¢P¥©žmš£Ï™LœW£ÏL™xšNž žŸ j¥£ÏŸ ¥Ÿ £™Ÿ¡£m¤;¢šW£ÏŸ¡œ/‹
~ lt;h;¬ÅƒF_ijhFu›n qÀ~ rs`q›_lLƒ ƒ;q_\uimq›u l|[$lz\½_¬Ål ~ __` ƒ;l §Hl hF~ lq q,\Ø _noi ~Ø l_t;r©hFhLƒ;wÃimh;‚ n1~ qx_lspÍ$imux_r ~ ؃;rsu kmt;$_
I §Hl `~ qlL\ ƒ;_K_o³Lpy;lt;h;q$u›qÀimr©q h|\ q
lykmƒ;_ u\ ij§ÏhFl ƒÅ~ q q \ \ _,_lÄ1q \ Æ ¸_ Ë~ ³
u›ijhFp_)r‚ _pimux_)r©hrskmwLuximuÍ$imkjk^yz_ni _Nh¨yz_kmlsÍ,½
[$\ _ ux_pNlh;ƒ ~ Ø r ~ i r©qximlhv³„Í \ ijpØ \ Í_ pWr©kmk#q \ _þ¿b¶ ~ `K_q \ l|ƒ ~ c § ~ lo` ijq›uimh Ø _hLq›l ~ uK¾#kmlhFuxl³
yzq›¿l _ _~ h;pu4lim½ u›hL_[$q ³^~ \ ¶zl_
kÎij`K`¨q \ `rs_imi_ ~,h`¨~ im_ƒ;r©k¡_Wrsh;rq›h,i pØ c l_1h;³F_ u›~ximijuxu~ qxl uƒ;~ _ imimh h lpqx~ _Nlo_ƒ`k¡r©qx‚;qxlKimtFlqxh'_imº;h;qxrsn1l pqrsq ‚;\t;‚ _1h;~ i­lsp§HlºLl ij~x``~ _Nrsuxno‚zq›__#lh;h;p_ lLƒ;_&imrsh;%q›n ijlopimh__º;hLt;rsq›u›pu)ijq hFrsnØ h;rsƒ»kmt;l|‚ _r©~ u4qxloim½1h;yns²;rs¼Dly;‚z~imkmlim_imqxhLº;im_q$rsu4`Kh|³tFrs‚;`1hFkm_ƒ ¼ ³
u›lot;hÂ;q‚z\ l_1ux_'plLq _&\ %rsq1pimÍ_hL_ qxu
\ pr lØ `K_‚;q›lÅt;qx`¨_Nƒ Gr 'ot;_¨uximh;r'np q\ \ lo_1ijpNux_¨q?rsÍ$h;imƒq \r ~ ƒ'r'uxpN‚z_ ~_q?prsiNDimh pWr©qxÆ¡_NimlºPh r©p~ qÀ_Ëpt ‚ ~›~ ~ lo_yhFrspyF_ijuÀkmË4imqD½w ²v kjlLÆ¡rsƒFq›_ijhF‚ns_N¼Dh;‚ƒ;loimijh;hLn q
r ~)<imq \rsh;`Kƒ _qxzimp$É ƒ;u›lLt;_p u$\ hFq l\ q$rsrsq kmkm ls)ÍXNt;u$ q›l,N pl`Kɂ;½t;«q›_ ls/Í,³o³/y;imt;hÅq$l Í~ _#ƒ;_ p4~ rshqxl pNl``Gr ‚F't;_1qxrK_$qDp Í\ ll,imp»z_l|³*rsÍq›imh;_1nsƒ ¼D‚~ r4loÍdimh|q*r hL~ t;rs`1h;ƒ;yzlo_ `~ u
hLq \ t;_,`1p yz\ _ l~ imph _ f;N lqi \ N _ ~ Í$Š,ijr©u›h;_³ƒi Íim_u$pkml|lp4`Krsqx‚_Nr ƒ¨~ _imhKijqq qx\ lO_ zQ›ÉX_ ~x~r©l h;~ ƒ imhLqx)„_ ½~›Ø $ rs§ (k ib½ C )Ål ~ zÉN i q \ _hÍ_bp4rsh`¨r'_
$ hq \ imu#pWr©ux_³^q \ _ ~ _r ~ _,qDÍl‚zlu›uximy;imkmijq›im_Cu BÎ_imq \ _ ~ Í_,plo`‚;t;q›_1ÆHrsnLrsimhËq \ _,plL&_ %pim_hLq›ubÍ$imq \
šp&loZhLoqxœWim£hLt;imhL_1qx_Í$noim_ q ~ \ r »~ imlLq rs\ qx`Kimh;_n©qx¼ im‚zp,lrsimhFhLƒqbr ~ t;~ imh'q \ q `\ _,_q›u›ijpqÀr©t;h;u›ƒijrhF~ nÃÃrrskmqDnoÍ$l im~ pim_1q \ km` lh;noq›l1_ ~ pl`hLrsq›ijhLhLqxt;imux_
u?r;q \³^_rshFnƒÅ_hFux_ l ~ r©loqxhÅimlh/t;hL³zqxl im~kÍÍ__
pWimq$r©hÃimu$`y_NGr qx'oqx_#_ ~ q \ l_)h p r \ Ø lo_ ij~ pNr©_n½ _[$³LyL\ w¨_)r
Ípl lo~ uxh;qDux¼Dq?pWrsr©hLuxq$_§ pr©lp`Kqxl ‚;~ km_lºLh;ijkmqDw.w1fol©Í„§„_q Í\ _)lhk¡rs q#q›qxrs_ hz~ rs`kmwL_ªq _#\ imlLqƒ§Ht iju~ q h;\ l_ q~ ½ ylot;h;ƒ;_Nƒ/³^y;t;q
~
\ ~
~
\
~ \
~ \
u›lot;q \` _¾~ ploplh;- _ƒ;u1 imh;Æ¡imn'h;imqxqxli¡r©r©k^q h;ux_qƒ ~u›t;_¨q p\ ‚q›_)t im~‚ h;_~ pu4lLim³*ƒ;‚;‚t;km_lopu4imq³*h|q› ̈́imh;_K- n‚ rs _h;u›ƒ_hLt;q1hF³^‚yylo_Nrskjiju›lshL_Íq›ƒ ijhFloq n|hÃË#_q r \ `~ _,_,rspu›imhÃql ~ ~xrs~noim_N_n uxh;\‚z_ qDl§Ïh;rsl ƒ;q›~ ijÍ$imloh;rhXn ~ ƒ u›lp h;qxlK__u`Í im_hÅ~ u4imqx³v®¸_o·4§H³±xl ½ r©u#[$q h;\ l__
p \ loijpN_ \ rsu$q›l1y_`rsƒ;_½
µ$rsux_ B nLµ - Ba- ‚ ~ l|1pN_½ ƒ;t ~ _ÆHÇ BimhLqx_no_ ~ )Ë f
~
B -Ba- Š h;: i­§Hƛl ÆH1a `Ã) ÆxL ® h Ë ;,&Š?Ç ±HË;,f Ç^)Ë f
Æ Ë
) Ba- YÆ > < Ë ; f
zÉ Ba- ÆY> <
Ë < f
i­_N§ kju› _i C§ )Å q z\ ÉÅ_h q \ __h q›t  ~ h/_q›Æ nt ¾~ hvÆHÆ¡Ç^n ËxKË ÆHÇ^˛Ë
³ no¾)ÆHÇ^ËN³ nKÆHÇ^ËxË
N
_
j
k
›
u
,
_
L
‰

‚
N
_
p
¡
i
s
r
D
k
Æ
_hFƒ/½
µ$rsux_ B nLµ - Ba- ‚ ~1l|½pN_ƒ;t ~ _ÆHÇ BimhLqx_no_ ~ )Ë f
~
B -Ba- Š h;: i­§Hƛl ÆH1a `Ã) ÆxL ® h Ë ;,&Š?Ç ±HË;,f Ç^Ë
Æ Ë
? Ba- h0f
Ba- YÆ > , ; ? Ë f
) Ba- Æ < Ë ; f
zÉ Ba- Æ <: Ë < f
øvø
~€C&‚
Šh
Ÿ ,š Ÿmžš o/Ÿ¡¢¢šW™¢+ 0
R( Í \ ijkm_
É ;ƒ lŠ
Æ ; ? ) 2 Ëf
)jB - Æ < Ë; f
i­§ CÉ ) B - Æ <: Ë < f
q_\kmux__,h ‰L ‚z__qxpti¡rs~ kDh/Æ Æx ® no³j®¾)no¾)Æ?FÆË?F³ nËK³ nKÆHÇ ÆHÇ $ $ ?;ËÏ?;±HËË ±x³j® no¾)Æ? Š4˳ nKÆHÇ $ ? $ ŠWË ± Ë)f
_hFƒ/½
~‚ \ ly[$r©\ y;_$imkm‚ ijqD~ w \lLpv_³WƒF_ t Ø ~rs_,kmtp4rsrsq›km_¯kr©~‰Lh;‚zƒ \ _p~ _i¡rsq›kDt Æ ~ h³ p ¸p~\ \ lolim\ pimp__oŠ~ Š ³ p 4\ i­§ loijpN_WCa\ Ë /sƒ;³©_lLØ _rsukmqt\ r©_qx_$§Hlrskmh;kmlsƒ Í$~ im_h;qxn<t B^~ hµl¸p `K\ l‚;imt;pq›_W_„a 4_lº;q r©\ p_qx~kmwÍ$imq ux\ __ f
q _h t;u›_,q _b_NºPr©pqbr©kmnl imq `®¸·N±/§Hl q _ _uxqls§q _pl`K‚;t;q?rsqximloh/½
g_ ~ _1r ~ _)u›l`K_ ~ _`r ~ '|ulh q \ _u›_1n_h;_ ~ rsq›imlh'uxp \ _`K_uW½²/i ~ uxqW³zq \ _w'ijh Ø lk Ø _lhFkjwKuxq?rsh;ƒr ~ ƒ
»k¡rslLhFrsnq›tijhFr©nsn¼D_‚Í$loijimhLq q\ l~ ‚zl_t;~ h;rsƒFqxijimhFloh;n1uW`½ lL$ ƒ;hÅ_u4l³;q \ ‚ _ ~ ~l Ø Íimƒ;l _N~ ƒ¨ƒ;uWq ³*\ q rs\ q_qw'\ _
pWrsnh i Ø y__Kh{Lk¡rst;hFimqxn_1tr©ƒ;ni ~__Nuxpt;qxkm‚Fwłl‚ ~ ~ qxlu,n ~r rs~ `Kimq \ ``K__ƒ qximimphÅlrs‚zhL_?w ¼
~ rsqxim~loh;u#Í$imq \ r ~ yFijq ~ \ r ~ w‚ ~ _Npim~ uximl~h imhLqx_Nn_ ~ uW½ $ h q \ _
pWrskmpt;k¡r©qximlhls§ ³;Í_,uxtF‚;‚loux_q ~ \ r©qb%a )\ rshFƒ
hLÇr©hÃt;r`1imh yz_KD_ uxhF~ `¨ijyzq›r©_)_kmqDk`KÍ___h;_`loOh t;l h)~n wLr©7½ h;qxKƒ l't;Š yq4fL³/_ q i­\ §„_imu„Í‚ im_u_uxrl©_N~ §/h|_)pq›l_noƒt i Ø ~ _ux_hÅ_º;rsh;rploq›‚zq„kjwL_ ‚z½~ l§H_u›pux¬Åimqy;_1nkm_#_uxhFu›tFq_ ‚;~ ~ ij‚r©pNqxloqxl kmuxw1~_ uxls‚z§ _Wh q›Gr lÃ'L$ imh;yzŠnz_¨³y;r u›imijqxhFt;u4p³^h;_qi­§H\ ijl qÎ_h `K̈́lokj wt;kmp4pƒ1rsh;h'lo_uxy__ƒh _
nou›qx__h;‚/_ ½ ~ rs$ qxqb_NƒXp4rst;hÅu›ijyzhF_)n ‚ r ~ l Q›Ø k r©_ƒÅªw _4brs‚uxim~ kmlLwpq_\u›uWr©³*qy;q im\ q_yLr w Ø _y;~ imr©qW³vn_rsh;h|ƒ'tF`1q \ y_1_ ~ hF_l©_§„ƒ;y;_imƒ qxupqxll`Kyz‚_1r ~ nimux_lhFhF_ u#~ r©ƒ;qxlo_ƒh;_ijh r4§Hlq›_~ ~ƒF_ _W~ rsp qx\l
plo`‚r ~ _ Í$imq \ r ~ r©h;ƒ;lo` hLt;`1yz_ ~ t;h;i­§Hl ~ `kmw,ƒ;imu›q ~ imy;tFqx_ƒ imh'® h &WŠ ± _N{|tzrskmu#a;½
~‚ l‚z$ h
lu›q ij\ q›im_ l~ h_uxnq*i Øl©_N§u„q \ yzimluvt;uxhF_pƒ;q›u$iml§Hh/l ~ ³sÍq \ _*O_ §HlLQ›p_ tF~x~u/l l~ h
imhLq \ qx__~›pØ lrs`K(k b)‚;l©km§_ºLq im\ qx_,im_uzplols`§q ‚;\ t;_q›¾b_ƒ¿‚ ¶~ l`Kyz_rsq y;\ imlLkmimƒ/qxim½ _[$uW½ \ _*§HlokjkmlsÍ$imh;n
%•s
Õ -Õ^?“ +ϔ +H'Õ & ' 0)( & ?¥£m¤Å&œ sžšNž - ¦ - #£m¤;Rš ^™x¥ & W(Ÿ mŸ¡\£ [1
¥ ,&š œ?O¤ $š4£Ï|™ &œ G „Ÿm+
&œ G Ÿ N¥Ÿmžž™¢ ÀjšN¥ožÀ¦ ž1Ÿ ž ¦£m£Ï¤™š?Ÿye¦ 4LC£H[,¥oŸ ¥™1‡F ÆHš a%a W) GLÇ^™Ì £j£H¤F8¥ šW™N£m‡¤;¢)Ë šKL ¥oa ™xWš š ZŸœ4$`£ ÆÏa1)K™›¥ Ç^&Ì&4(Ÿ j‡oŸ £ Ë [KL ¥ N 1£mŠ ¤;8oša/£œ?¥om¤;™š ™xšN\ž P£m¤;¥ š ¦Ÿ™x¥&œ?4¤;Ÿ(j¥oŸ¡£\Ÿ¡œ?[Uš ¥
$mWš š&o¦œ?Ÿ ¤HGP£ÏO¥š?œ4ŸyG
%•sÕ^WÕ V?0
[$\ ~
 ~
\~ \
‚.~ - ly>r©5y;8'imkm µ$ij1qDw
r©imuxuls_ § q \  __- qx_tº;~rsh/pN q„Æ n 1‚ K~ ½ ÆHlÇ^yËxr©ËÎy;_imimubkm‚ ijqDŠ wlo$ ylsrsz§/yFɄp ij\ ³Lkmimloq qD\uxwim_ h;ls~ n §_?§Hl ~ _N½ _qx[$t ̈́\ _h/_Æ¡\ no‚ r ¾)~ Ø lo_$ÆHyÇ^q›rs˛l)yFËij‚ ykmim~ _NqDl ijw,hFØ _l©n,§qpW‰L\ rs‚r©kmkmq_N_pƒKi¡)rsijkDu Æ N )*³ no³¾)N Í ÆHzÇ^_ ɄËN³ ³L_Wnr©Í Ku$\ ÆHqÇ^_ ~ Ëx__ Ë
imu$pkm _W_r q ~ kmw zÉ - $ %a ))„Ç^½ Ì L r©h;ƒ -ÂÆÏ1a ) L Ë ;
Ç ;,Ç Ž½ Kw }*~ lo‚louximqximloh<‡;½¸a;³Í#_ 'Lh;lsÍq \ rsq
> ƛŠ $ ËTN > NP> rsh;ƒ ÆxŠ $ ËTN@ N fo uxl1ÆxŠ $ Ë > 8W N > 8 N ÆxŠ $ Ë )vÈc> 8 ½
$ q§HlokmkjlsÍ$uq \ rsq ) N > 8 NÉ½
Kwq \ _‚ ~ l‚z_ ~ q›ij_Nu$ls§^»lLrsqximh;n©¼ ‚zlimhLq/lo‚_ ~ rsq›imlh;u4³L̈́_ \ r Ø _
N NÅÆ›(
Š
L ËxÌ©½ [$\ t;u4³Luximh;p_
L
$
L
$
$
L
$
$
\
Ø
$
[
\
~
~
ƛŠ ËxÌ N<ÆxŠ Ë )^̳F̈́_ r _)Š ÅÆxŠ Ë=) Ì N Š N Š Ž _ _?§Hl _³
Š $L$ ÅÆxŠ $ L Ë ) Ì N N Š $ ü/$
è jç¸è/íîê?ézóxë^ê ;ï¡ézêsÿsç¸ï xí íð¸ézíÀñ4èzõó*ó #4í xïÏð¸ñëHó›îsëHó›èHó WïÏóxôLÿx+í sô#èÏê "jç ôsê4óxè ??Ba- ? f
Ba- 9 .> 2
þ
vø/þ¡ü
Ÿ N¥™¢ ¦¥¢$š š4™
o£HŸ ¥ ¥
=
šÀœ?¥o¢;¥sž)jšz£H™Lœ4£HL™›šž žŸ m¥Co£HŸ G ¥Ÿ £™NŸ¡£j¤F¢)š4£ÏŸ¡œŠŠ
Í \ _ «~ _ lsÍ km- _q$Š/t;: u$3km lLl r©'u$r©uxq?q rs qx_N) ƒ ½*im¬Åh_ q \ \ _)r Ø rs_1yzl ÆY>Ø _X8Wrs km;nlË ~ imqƛ\Š `K$ uWL ½ Ë Ì N ÆY>' < PË; N ÆY>' 58W Ë fLq \ t;u
>' ƛÆxŠ $L Ë L $ ËTN ) N > ÆxŠ $ Ë
u›ijhFp_ ) - .Æ > < Ë ; ½‰Lim`imk¡r ~ kmw³4ÍR_ Dh;ƒq \ r©q
> Š N É N > Š
Š $ ƛŠ $ML Ë L $ 4
[$\ _ ~ _?§Hl ~ _̈́_no_q
É $ ) N >' ƛŠ $ L ˊ L $ $ ÆxƛŠ $ML Ë L $ Ë
r©h;ƒq \ t;uW³Fuximh;p_KŠ $ ‡ L N ƛŠ $ L IË LL³;Í_ \ r Ø _
É $ ) N > Š $ Š A $ ÆxŠ $ A Ë
Í\ A _ N ~ _ /Š 8a;A ³Lq- \ _hŊ 8FÆx‡ Š L $ - AmÆHOË 1a )KN Ç^Š CÌ a ‡Ë LA/½ r©h;$ ƒ§im̈́q_ §Hlouxkmkjt;ls‚;Í$‚zulqu›\_³#rsq r©u1uxqÀr©qx_ƒ ijh8q \ _ }*~ lo‚louximqximlhv³„q \ rsq
É $ ) N >' ‡ A &
r©h;ƒµ$q r©\ ux_,_ ‚ ~ lLls- §*ij u$pN l1`½ ‚Fkj _Nqx__#q u› imh;) p&.:_ É > *ƒFN@_h;l ^q›_½ q \ _ Ø r©kjtF_u)l©§ )&.É rsq
uxqx_NX‚ ?׳*Í$ijq \ É - hyLw
ploh Ø _\hLqximloh/½ [$\ _1u›qÀrsq›_`_Nh|q 2 \ _q›2 t ~ )h/ƛ® n¾) Æ ?;˳ n ÉKbÆÏÇ $ ?;Ë ±HË#imu,_Nº|_Npt;qx_NƒXÍ \ _h 2É )vÈ N )vÈ C 2) ³
r©h;ƒ$ §/q Í_)_#‰Pu›‚t;_y;pNu›i qxr©imk^qxt;uxq›q?_rsqx>_N1`yL_whLq$ Í2 - _h > , ? 2 N > ? C 2 2½ >42 ? 2)r©h;Nƒ > 1yLw ijh1q \ _br©yl Ø _$‚ ~ lLl©§
§H‚ l ~ ~ ly r©y;- imkmijqDw1 l©1§  ³LÍ_q›_#t lo~ h/y;ƛqÀ®r©nim¾)hÆ q ?;\ Ërs³ nq Kb 2ÆÏ) Ç N $ ?F2DËÏ8ȱHË .y)v_NNÈijhF n12É pWr©rsh;kmkmƒ_ƒ 2Éimu $ ) ) 2) $ N É ‡FÆHa%)N Ç^ Ì(2 Å8' ‡oË $L ½* ¬ 2 \ _8'hF p _³Fqq \\ __
k¡pWrsr©q›kmqxk/_ rs~ q$‚ ux~ q›lo_y‚rs?Ky;imimkmuimqDwÉ pl $ ~›~ _) u›‚N loh;‡;ƒ;ÆÏima1h;)Kn Ç^q›lÌ Xq \ ‡o_1Ë L tF½ h;i­§Hl ~ `ƒ;imuxq ~ imy;t;qxim2loh/½ [$2 \ )/_1È ‚ ~ loyrsyFijkmimqDwls§#)/rÈ ‰L‚_Npi¡rsk
~ \ _rsy;2 km_$q›l)2 plo`~ ‚;~tFqx_$q \ _br L Ø _ ~ rs no_?¼DpWrsu›_#\ plo`L ‚;km_ºLimqDw,ls§/q \ \ _#~ ¾¿? ¶`_\ q \ lLƒ/³Lrsp\ pl ~ ƒ;imh;\ n

«
s
l
8
Í
„
Í
_
r
q›`lÃrsÇXhLqximr©uxh;u?ƒÃrKlsq›l§»q l|r©_1qxpimh;ln`K‚‚;lot;imqxh|_ qhL‚ t;_`1pimyzu›_ijlo~ u4h ½¸Ë ½ $ hÃÆ q \ _NpW_rsu›_ kmk~ q _uxrstFq kjq›uW³*-…Í_1aPÈ p)'l,ÍhFuximƒ;_ _ ~ _ ) rsimubuq r_1pNlkmh;_u›h;qÀnorsq hLq4³*ls§$uximh;q p__
q \ imu$h|tF`1y_ ~ loh;kmw1ƒ;_‚z_h;ƒ;ulhq \ _bpNk r©uxuls§u›q ~ t;pqxt ~ _uqxl1yz_n_hF_ ~ r©qx_ƒ/½
*ÑLÕz•sÑ '0) ‘ zÑL•s– Ñ– &Ö Ô,Õz•“”NÓ —©–“NÑ —©Õ .-ÏÑ /+H” +HÑ;“WÕ V#” *Ñ ‘ ÅÑL” *Õ/Ö 0 S^¤FVš o Wš Y™ š 4Ÿ¡£ œ?¥
¢
<j&š ZoŸ¡£ [K
¥ K£j¤Fš 7 <¢šW£m¤;¥4U
¦
^™xš ™›¥Wœ?šNžÀžŸ œ?œ?¥™x¦oŸ £H¥Ç ¦'£H¥ £j¤Fš¨œ?¥o
¢ ^|£Ïš4™
L
^™xš?œWŸ ž Ÿ ¥ „Ÿmž
J È ÆÏ
Ç & L Ë - Ä1ÆHÇ Ì Æ kmln LŠ Ë›Ë f
øvø
~€C&‚
Š4a
Ÿ ,š Ÿmžš o/Ÿ¡¢¢šW™¢+ 0
R( £m¤;š+ 4šW™Y š 4Ÿ¡£ œ?¥¢<jš&ZoŸ¡£[N¥™£j¤Fš š šW™Y£ÏŸ¡¥ ¥
,¥ š,ž£Ï™LœW£ÏL™xš,Ÿ ž
È ÆH
Ç & L Ë - Ä1ÆHǍkmln„Ç Æ kmln L Š Ë8Ç L ÆHǍkmln„Ç^Ë›Ë &
/¤FšW™›
š GÆ ,zË
ž \£ ¦sž ¥™,£m¤;šKœ?¥sž£$
¥ ¢) m£HŸ >u[sŸ £¥E, 4Ÿ¡£ L¢+?šW™?žaES^¤;šU 4š4™
šž\ oœ?šœ?¥¢ >j&š ZŸ¡\£ [ŸmžÄ1ÆHǍkmln È 1Ç L kmln„Ç^)Ë a S^¤Fš#œ?¥™™›š\ž ;¥ ¦oŸ ¥o™?ž£ œ&sžš$œ?¥¢<mšWZoŸ¡£ÏŸ¡šNž =?¥o£j¤1Ÿ £HŸ¡¢š7 ¦
ž\œ?š?™xš
£j¤Fšž¢š,£j¤0££j¤Fš,¥ šž~¥o™ š šW™Y£ÏŸ¡¥ Ÿ £j¤š&ZoœW£`™Ÿ¡£m¤;¢š4£HŸ¡œ ©žž £\£Ïš?¦1Ÿ S>)jša
%•sÕ^WÕ V?0[$\ _ ~ _uxt;kmq›u„ploh;p_ ~ h;imh;n J ÆH
Ç
& L Ë*rshFƒ1q \ _$Íl ~ uxqD¼DpWr©ux_#pNl`‚Fkj_Nº|imq›ij_Nur ~ _$uxq ~ rsimn \ q¹§Hl ~ ͯr ~ ƒ/½
È
L
‰qL\ lK_km_rsq#kmnt;l u~ im§Hq lL\ p` t;uÍ l\ h imp \ È t;ÆÏÇ
ux_& u
Ë_³zº;rsrsh;pƒq,pNkj_Nl|q#_ %t;upimy_hLlot;qxuWh;½ ƒe$ Dqxu~ ux§Hqlkmq km\ ls_,Í$u$q›l§ q?~ rslk*` ‚ ~ }Zlo~ylrs‚zyFliju›kmimimqDqxw1imlqxh l1ˆzyz½¸a1_
§Hq l \ ~ rspqW_³*ƒ rsq›ql _W~rstFp \h
u›Q›qx_ _~x‚/~ l ³Î~ q \ ijhL_Kq›_‚ ~x~ Ø lor©ykjrsuYbyFijijkmh'imqDw q \ q›_1l pW~ rst;u›h _ q \ _K- ‚ ~ lLp _N1ƒ;t ½K~ _'¾#h;‰LƒÅ‚_NÍpi¡_UrskD'LÆHËh;lsimÍu1Ä1q \ ÆH>ÇrsqL L q ËN\ ³_ ux~ im_h;pNr _~ _q \ Ä1_ ~ÆHÇ^_ ˍr p~ \_lorsijpNq_`u)q›loluxq,yÇ _
ƒ;no_loh;h;_ _1~ rsƒ;qxt imlo~ imh¨h;nimu#q Ä1\ _1ÆÏÇ Í L\ Ëlo½ km_)no_h;_ ~ rsqximloh/½ [$\ tFu,q \ _1q›lq?rsk*‚ ~ loyrsyFijkmimqDwqxl ~ tFhX‰L‚_Npi¡rskDÆHˍƒ;t ~ imh;nq \ _
~Íl~ [$uxqD\ ¼DpW_b~r©imuxhL_$qxp_Nlon`\_ ~ ‚;p\ kmlL__&ºL%imqDw#piml©_hL§ qx‰Lu‚zlL_pp~ i¡prst kD\~›ÆH~Ëvimh;imun1Ä1imhÆHÇ^q Ì \ _ ~ ÆH_Ǎpkmt \ l~ nuxiÇ^Ø Ë›~ _,VË `f©~ q _\ q im\ u*lLimƒuq \ \ r _Ø pimh;ln,`Ku›‚;imkmª__)d ºLijÄ1qDwÆÏÇ#ls\ §kmlononZ_h;Ç^\ _ ˍ~ ~$®¸rs·4q›\ ±xij³ohFq n\ r_
u›q q\ _„tFpNplqxt`‚F_)kjÍ$_Nº|imimq qDw$ql©§P_bno__Nh;ºP_ r©~ prsqbq›ijr©hFkmnnbl rimuxq q ~ `t;pNqxÆ¡t imh;~ _$pNkjitF§;ƒ;q im\ h;_ n,~ _q imu^_bh;‚ l#_p4‚rskmklLq›pl#_ux‰Lu›‚imh;_Nnpi¡rsuxkDqÀÆHr©ËÎnÆ¡_WlËNhF½ p_„h¨q \ q _‚_~ l_q‚ ~ _l|pN_uxr©u›h;ijhFƒ/n ³
imkmu1ln ƒ;Èloh;~ _ _‚ rs~ h;_ƒu›_hLt;qxuxuimh;q nÅ\ _1q \ hL_t;`1yloyzt;_ ux~ q ~ lsl§#‚ y;\ im_qxƒ;u
lolsh;§$imp q \ r©_1kmn`l ~ rsimqhL\ qxim`uxu?ËrKimuls§Ä1»ÆÏl|Ǎr©kjqxloimh;nnsÇ ¼D‚zlimÆ¡hLkmlq#n hLÈ t;Ëx`1ËN³„yzu›_ im~ h;u4p?½ _gq \_h;_ p_KØ rsq km\t;__
r Ø _ ~ $ r©h1nq _?\ ¼DpW_#rs‚ u›_~ _p‚ l~ `KlLp‚;_kmux_u›ºLimh;ijqDnw
³^lsÄ1§/ÆÏq Ç^\ Ë_rsr©‚;kmn‚ l ~ ls~ imºLq im\ `¨` rsq›iju$_„pNÄ1l|ÆÏ_ Ç#%kmlopimnZ_ÇhLqx u$lsÆ km§/lu›n imªÈ _bËxËÄ1ÃÆ kmÄ1ln ÆÏÇ È Ë„L r Ë'~ x_$Ä1pÆHloÇ^`Ì ‚; t;q›ÆHǍ_ƒ/kml³onÍ Ç^\ ˛imkmË_ ½
imphlL_&q %\ _#pNijp4_Nrsh|uxq›_u Í ls\§_ ux~ im_)ª_ʼnL‚zÄ1_pÆHǍi¡r©kmk lÆÏËn„imÇ^uËKpWrsr km~ km_Ã_ƒplocÂ`͂;tF\ qxim_p ƒ/\ ½ lLp[$pNt \ ~ _ u$~ _?Í$§Hl imq ~ \ _ł q ~\ lo_ yrsr yFØ _ijkm~ imr©qDw)n_'Ä1uxÆÏ‚Ç r© pL _ÃËÎc pNl`Ä1‚FÆÏÇ^kj_N˺|_NimqDºPw r©pijqu
Ä1ÆÏǍ[$kj\lon_¯r©È y8l Ø Ç _ ~L _kmuxlt;nkmqÇ^imËu½ ‚zr ~ q›impt;k¡r ~ kjwimhLqx_ ~ _uxq›imh;n,i­§ q \ _ ~ _$ijur#‚zlu›uximy;imkmimqDwbq›l,rsƒW?tFuxq*q \ _$pNl`‚Ft;qx_ ~
‚pl ~ _~ lopimkjuxk¡rimlo~ hw \ Æ¡iDlo½ _kjƒF½^uWq ½ \ _1kj_Nh;nq \ l©§¯q \ _1`¨r©h|q›imuxuÀroË#r©ppl ~ ƒ;imh;nqxl Ç*½ $ hÅq \ imupWr©ux_³*q \ _§HlkmkmlsÍ$imh;n_Wrsu›w
Ր•sÕ H–;•s
Ò '0 L -<ÄÆxŠ 8oÇ Ë £j¤Fš È ÆÏ
Ç & L Ë -<Ä1ÆÏǍkjlon Ì Ç^Ë 4
[$\ imu$pl ~ lokjk¡r ~ w \ lokjƒFu$_ Ø _hÍ$imq \ h)r @A Ø _br ~ imq \ `_q›ijpNu ÆÏÇ^Ë -<ÄÆHÇ^ÌËN½
%'$4 ,
-8#(Î0-?( "
$ h1q \ imuux_pNqximlh/³LÍ_$ƒ;_`Klh;u›q ~ rsqx_$q \ _$&_ %pim_hFpw1ls§^q \ _$l ~ imnimhr©kL`_q \ lLƒ)‚ ~ _ux_Nh|q›_ƒimh1q \ imu‚r©‚_ ~ ½
¬Åq›ijlo_,h)Í$‡;im½¸kmaFk/³Wu q \ \ ls_ÍhuxD q›~t;uxƒ;qwq q\ \ _1_Îrs§ pNr©pijkml t ~ ~ ƒ_rs‚h;~pNl_1ylsr©§y;im»kjimlLqDrswq›lsijhF§;nsq ¼D\ ‚_lo_ijhLº;q$rspNrsq‚;tF‚ h;~ lsi­§HºLl im~ `¨` rs~q›rsimlh;h;ƒ;ulol` y;q?nrs_imhFh;_ _~ ƒ r©qxÍ$imlijh1q \Ãrskm}*n~l l~ ‚zimq l\ ux` i­¼
l©§‰L_pq›ijloh1ˆ³siD½ _½sq \ _$‚ ~ lyr©y;imkjimqDwlhF_ \ rsuq›l ~ _NuxqÀr ~ qq \ _$Í \ lkm_$pl`K‚;t;q?rsqximloh,t;uximh;n,r©hr ~ yFijq ~ r ~ w
þ
vø/þ¡ü
Ÿ N¥™¢ ¦¥¢$š š4™
o£HŸ ¥ ¥
=
šÀœ?¥o¢;¥sž)jšz£H™Lœ4£HL™›šž žŸ m¥Co£HŸ G ¥Ÿ £™NŸ¡£j¤F¢)š4£ÏŸ¡œŠW‡
‚q›l1~ __pºLimuxijimu›loqximh h;n1r ~ ‚imq r©\ &p `'rs_nq›_Nijpou$³uxrst;h;p ƒK\ q rs\ u_^4_&%57pNij6._N8h;9.pw1:>;=ls2>§*9q \ ½ _{Ltrsu›i ¼ ~ r©h;ƒ;lo` no_h;_ ~ rsq›ijloh¨r©kjnol ~ ijq \ ` pl`K‚r ~ _ƒ
\q _,¬Åkmimqx__ ~ qÀrsr qx't _,~ _1rsu$®mŠ?_±xº;½ r©P `l‚;qxkm)ª _ '|P imhÅloÆ¡qxl ª~'Limt;hhq r ~ ~ _Nwo_¼ uWyF³zijÍhzr \ ~ low;uxËÎ_ q ~ ~ rs_h;_u,ƒ;lor `…~ _bnƒF_N_&h;D_ h;~ _r©ƒ qximly|hwKÍ$q \ rs_u#u›r©‚k ~__WpNrsi DzƒFpWw1rsq›pijlloh;h u›imƒ;_ ~ _Nƒ imh
- ? &
[
- * B'*-,B- &Y* È \
- *Z, * L Y& * Ì - * * &.* L -* Ì >
* Y& * -[*-, "*
l ~ imhuxqÀr©h;ƒr ~ ƒ§Hl ~ ` Í$imq \
Ƚ
‘K~ —— *\•s–—©&Ò 0 _q ƒ;_Nh;lq›_bq \ ~ _hLt;`1y_ ~ l©§ P lq›ª'Lijhq ~ __\ u$l©\ §u›ijªN_Ç*½¿t;_qxlq \ _,"! _ºL‚z~ lh;_Nh|q›i¡rsk
n\ r©lsƒÍ$qxq lÍ ls~§ imqx _,<r
uxƂz _p i¡, rs, kvimiju)hLq›q›_ l|~xl'Ø r©k¡k r r n~ im_q \ q›`KlO_Dzqxq)impimkjh imy r~ r ~ w)t;&u›#imh; nÍ rimp &imu1#$kjimrs`Kuij`¨q›_ƒ'r©hLqxqxl8imuxu?ŠCr1h L ÆH°o‡,lu›ijnoh;u›l|iNDËNpW³r©Íh|_q
y;_hzimq›rsuÀy;Ë1km_rsuhFlƒ h;_$r©h q›l,
ploX`r©‚;u1t;q›__„ºL‚loh;loh;kmw)_hLrq kmlsÆḦ́‡oa'_ ~ y;yimloqxuÀt;ËNh;½ ƒ1$ lsh;§^uxqq›\_Wrs_$ƒ plLls_&§b%tFpuximim_h;hLn'qxu4q³L\ ̈́_ _ ~ \ _r uxØtF_$kjqKplls`K§ }*‚;t;~ loq›_‚/ƒ)½yz‡;l½¸a;q ³Î\ Í kmls\ ̈́imp _ \ ~
ru›©qÀh;rsƒXhFƒt;r ‚F~ ‚ƒ/_ ½ ~ [$»\ lL_1rsqxrsimh;‚;n©‚ ¼ ~ ‚zlslºLimijhL`qrsyq›ijlolot;h;h;uƒ;lu
y;t;q?rsuximimh;h;n_ƒÃq \ r _~ _~ `1lt;t;hFp ƒ;\ imh;yn_q›§Hqxt;_ hF~ p³/qxu›imimlh;hFpu,_‚ q ~\ l _Ø w imƒ;ƒ;__ƒ ‚z_yLh;wÃ'q l\ h _ q $ \ €_€Îr©€ pqxŒtz°©rsˆ k
u›r©‚pp_t;pNi `1DzpWt;rsk¡q›r©ijqxloimh/h;n,½¬Åplo_$h Ø ‚ l~ kmlLt;pq›_im_lƒFh;_u ƒ ijh1-q \; ~ _N_b>42 ƒF? i M^_ ~2_hL§ ~ q$l`ͯr4qwL\ Cu _bBkmÆ¡_?i¡{˧Ïq„D q›~ l)uxqq \yL_w)~q im\ n _\ qCt;f^uxtzÆ imrsi ËZkz{|ux_tzprsloƒ h;~ ƒ;rskmqxwimp$tF`Kuximh;_qn\ qlL\ ƒ/_ ³
u?r©rsh;`ƒ _~ im{Ln t\ Cqrsf^ƒ Æ~ imrsijq›i¡ËÎimp)t;`Kuximh;_nq \ q lL\ ƒ/_,³zkmy;ijhFtF_Wq)r ~rsp~ pN_t;pN`1t ~xt;~ _k¡rsh;q›p)ij_hFn1plh Ø lokmt;qximlhFu$§ ~ l`q \ _1`imƒ;ƒFkj_q›_ ~ `Kubq›lq \ _1km_?§Hq
$
$
- aoÇ Ç Š Š )/È ‡Ç Ç <Š  )^Ì
u?Æ irs½ qx_im½*u DÍ _\ ƒ _h yLw<lhFq kj\ w'_Xq \hL_t;`1t;yzh;_iml~ uh8rsh;/ƒ8½ ‚ ~ ‰LlLtFƒ;p t;\ pq1r plo~ _Nh;puxt q ~~xt;~ _pNh;qximpl_ h;u_ºLr im~ ux_ q›u t;§Huxl _N~ƒËrs³$hLrsw hFƒ plimhLqq›_pWºLrsqDh8¼Ï§ ~yz___8pn l~ `Krs`K‚;t;`¨qx_Nr ƒ ~
§p~ lol``!‚;tFq \ qx__1ƒ n km~ lsr©Í`_ `~ r©r h;~ ƒ t;u›t;ij‚FhF‚n _ q ~ \ yz_lt;hF ƒ;;u, r ‚~ _rsp&n'tzr©r n~ _ r©hL®mŠWqxN_±x_½ƒ'[$qxlK\ rsyh_'L_u,º;q›rsl pNqWq ³^\ y;_ tF$ q#€ƒ;€Ni M^€ _ ~ Œo°srsˆppuxl q?~ rsƒ;h;imƒzh;rnK~ ƒvqxlK³*qq \\ __
Í$r4w[$l©\ §_1plo§Hlo`kjkm‚;lst;Í$q?imrsh;q›n1ijloq?h/rs½y;km_imh;ƒFijp4rsqx_Nu§Hl ~ ƒ;iNM _ ~ _hLq1uximª_uq \ _¨rspNpt ~ r©pw $ kmn L 3 Í$ijq \ L 3 r©u,imh
}*\ ~ l‚zlu›ijq›~imlh1‡;½¸aΧHl ~ q ~ \ _„hFlhLqx_ ~ `imhr©Kk * - \ ³4iD½ _½4\ q \ _hL\ t;`1y\;_ ~ ~ ls§zpl`K`lhpl ~›~ _pNq„y;imq›u/ yz_qD̈́_N_h
q _,kmls̈́_ r©h;ƒt;‚;‚z_ yzlt;hFƒ;uW³Fly;q?rsimh;_ƒÍ$imq _Wrsp ls§q _bq _N_,ͯr4wLu$l©§plo`‚;t;q›imh;n ½
$ kjn L Ì 3 $ kmn L L 3 ÇCŠ hhh Ca s Š h ?Ì $ ‡kmn · L 4¸°È 3 Tˆ h 4 Œ
Tˆ h54mŠ
a° hhhhhh C Š sŠ ŠhhYÌ L ‡‡Œ° 44 hh
‡‡‹· 44 °h
‡‡‹55Œ 44¸h°
CŠ hhhh C
·
Š h ²vimq
°‡54¸° ‡$ ‡ 4¸Š1° 4¸°skmnÇ °oa54¸‡ ‡$  4Š%· 4¸askmnÇ °FŠ14 h ‡$ 5 4¸Š%° 4jŠNkmn Ç
¬ÅpWr©hX_pWyzrs_1h _pºLl‚;h;k¡pNrskjimtFh;ƒ;_ƒÅ_§ yL~ w'lo`q \ q _\ im§ urspNqÀq,rsyFq \kj_r©q,q \ q rs\ q#_`KplL_q_&\%l|pƒ im_hLÆ¡imq›i¡uË$im u#u› kjimnn \~ lsq›Íkmw¨kmyziu'o__q›qx_> ~ Ç'q \ )>rsLh ÀÌ©`³/Í _q \ \ imlLp \ŃX\ Æ¡i¡loËkj½ ƒFu[$\§Hl iju~
m óôsó sêïHó^õ4ñ$5ð 8$ïÏæsóõsç síNëHñð¸?ê 8íëÏç¸ïÏæ øvø
~€C&‚
ŠNˆ
Ÿ ,š Ÿmžš o/Ÿ¡¢¢šW™¢+ 0
`Kr©h;lƒÃuxqq \ ƒ_ r©~ qÀ_?r §Hl ux~ q_~ t;q \pq›_1t ~`_uimƒ;ƒ;\ kmr _Ø ijqxhF_ nÃ~ `rsuh imh rskmqno\ __1y ~ pr©limph Ø nl_Nkmh;t;_qx~imlor©h;qximubh;n'r ~ _1§HtFuxh;`pqxrsimlokmkmhX_ ~ kmqi('\ _ rsh'Ø r q ~\ im_1ltFlou t;qx'L_ im~h;ƒ;q›u1_ ~ l©`K§bubq ~yL_wÃ_u4r ³
§q r©\ prsqxhKl ~ q \ l©_§Ír©yl ~lou›t;qDq)¼DpWÇ>rsu›L_?Ìsls½§ ¾# $hFla©q km\ n|_ Ç~ nopNi lØ h;_ph1kmt;yLu›w iml}*hÅ~ loimu,‚loq \uximrsqxq,imloimh¨hX‡;rs½¸aFkmk½ q [$\;\~ _N__kmijpWhFr©_Wuxr _~u~ q _\ p_t ~›rs~ p_pNhFt p~_1r©_pØwÅ_Nhimu,nyi Ø_Nqx_qxu¯_ r~
{Ltr©uxi­¼ kmimh;_Wr ~ yz_ \ r Ø imlt ~ ½
~-_{LÑ;t;~›—"i Ø ~ +Ï_– ƒ pWrs– kmkm u, “qx0l ~ ‰L[$P ‚z\ __pi¡§Hr©lok kmÆÏkjËlsÍ$§Ïl~ imh;~ nux_ q?Ø rs_y;~ kmr©_#~ k„imh;_Nº|ƒF‚zijp4_ rs~ qxij`K_Nu„_q hL\~ qx_u‚ Í$~ imloq ‚\ l ~q qx\ im_lohrskmlsn§ l ~~ r©im~ q h;\ ƒ;`l` tFuxnoimh;_h;nK_ »~ rsl|~ qxr©imqxloimh;h;u$n©¼ Í ‚z\ lØimimphL\ ~q
imŠhLhGqxL_ pWrsrskmkmkm_uWƒ³Fuxqq›\ ijkm_k×§H‰Pl ‚_pNi r©lkDq›ÆHªË'L§Ïijt;hh;q pq›_ij_lou4h/½,½ ²;l uximª_CŠ h §Hl imh;u›qÀr©h;p_³^loh;kmw¨Œ rsh;ƒ;lo` no_h;_ rsq›ijloh;ul _
Ç /Š 8;‰LCŠ ‚zh_hphi¡hrskD ÆÏËh5pW4rshkmhkmu h;Š
Š h Šh' Œ18;Šhhh h54 hhoŒ
Ca oCŠ h ŠW1Œ 8o° hh h54 h‡©ˆ
C° oCŠ h sˆ 8a hh h54¸‡a
Šh ‹°%8;Šhh h54¸‹°
$ q)r©‚;‚z_Wr ~ u,§ ~ l`2q \ imu,q?rsy;km_1q \ rsq,q \ _yzlt;hFƒÅls§#1 )Ç L Í \ ijp \ §HlokmkjlsÍ$u§ ~ lo` }*~ l‚/½vˆ½¸aKimu Ø _ ~ w
‚z_uxu›im`imuxq›ijpo½ [$\ _,rspq›trsk×§ rsimkmt ~ _‚ ~ loyrsyFijkmimqDwux__`Ku$qxl1yz_ \ r Ø _b{Ltr©ƒ ~ r©qximpWr©kjkmw1Í$imq \ Ç*½
"— +ÏÑ &—©&Ò 0 [$\ _*§ÏlkmkmlsÍ$ijhFnqÀr©y;km_pNl`‚zr ~ _Nu^q \ _¾¿¶`_q \ lLƒbÍ$imq \ q \ _ P r©‚;km_*ij`K‚;km_`_Nh|q?rsq›ijloh
l©q ~ §#__q \u4½_K[$uxqÀ\ r©_,h;ƒplor kj~ tFƒ `r©jh kmnQxl pN~ limqt;\ hL`
q b1imnohÅi Ø q _\ u_¨q \µ_
l`1qxim`yFux_q ~ Æ¡t;imhpq,u›_‚zprslp&hF'ƒ;rsuno_ lh¨®jŠ4r©ŒN±xh ³^§Hl km~ q ~ q r1\ _‰L‚nr _N~ h;p_ `¨~ r©rsqximp l\ hÅimh;l©_4§ Ë P~ _{Llt;q›ªi ~'L_imƒh
§HÆ l l ~Ø _ q ~ \ _#Šh‚ h
~ _n‚ _~ h;lL_ p~ _rsuxq›u›imimlh;h;nu?³FËÍ ½ \[$im\ kj_$_bq _N\ h|_q ~ pwKlkm«#t;`K¾ #h uxq?Q›rsƒ h;~ ƒFr4uÍ §Hb
l ~q \ r,_pNr lØ `_ ~ ‚Frst;nqx_$imh;q›imn,`q›_im`§Hl _#~ n l~ h;_W_r©qx~ _ r©~ h;q ƒ;\ lrs` hnoqDÍ_h;l _ \~ rslqxt imlo~ uWh ½
Ç P prsl‚FtFkjh|_ q µl`1yFƒ ux~ q r4~ Ít;pq ¾bpl¿t;¶hLq `_q \ ƒ lL~ ƒr4Í
CŠ hh
h 4 %‹ 8h 4 h©ˆ
h54 h·
h54 h%‡ 8h54 hh h54 hhoa
a hh
5‡ 4¸1Œ 8h54mŠ
h54mŠW·
°CŠ hhhh h ;;ŠŠW8%‡ h58a4 ˆ|4 °h h55a 4¸4¸° h5h55a 44¸h°4¸%‡ %·°%888h5h5h54 44hohFhFa ŠŠ h5h5h5444 hh;hhoaoŠ4°a·
a hhh ˆˆ|o· 8° 4 Œ
°Š hhhhhh h «#«#¾ ¾ 8;8oŠ4‡° a 4 °5‹ ··o4¸a Œ  a5‹ o·o4¸1%· 1a 888h5h5h54 4 h4mh©ŠW· ˆ · h5h5h544m4 ˆhŠW°ooŠo‡Š
²vimq Ç L 8Ç Ì L Ç L Ì Ç Ì , 8oÇ È Ì Ç È ¸È
$ hq \ ?
\
\
~
\ \
\
rqD©wLh;‚;ƒimh;q _ n\ loQx uxpN_lt;l hLh
q "bq \ p_ loGkj~ tF"imn `\ h/q$³oÍ$q imq _\ $q›q ij\ `K__kmuijhFlo_Whr $~$q ~ im_b_h pkmt_?P §Ï~›q„~ rs_͂;h;km_ pN__)½ _ploloy;`qÀr©‚;ijtFhFqx__ƒƒÍ$yLimw1q q \ q _,_eƒ;§Ït;_ § hrst;‚kmr©q„&p Ä'rsÆHnÇ^_1Ì4Ë®mŠW`KN±x_³;q r §HlLqxƒ/_ ~ ³
R( þ
vø/þ¡ü
Ÿ N¥™¢ ¦¥¢$š š4™
o£HŸ ¥ ¥
=
šÀœ?¥o¢;¥sž)jšz£H™Lœ4£HL™›šž žŸ m¥Co£HŸ G ¥Ÿ £™NŸ¡£j¤F¢)š4£ÏŸ¡œŠW°
"$-40(N1Ž%à K0(/*(
$ h'q \ imu‚rs‚z_ ~ ³×̈́_ \ r Ø _
_ºLqx_h;ƒF_ƒÅqxlp_ ~ qxiND_ƒ'»zl|rsq›imh;ns¼D‚loimh|qplo`‚;t;q?rsq›ijloh;u#q \ _™xš?œWL™?žŸ¡ 4š¢)š £nom¤;_¥4h;¦_ ~ §Hrsl qx~ _q r©\ h _ l~ rsyhF _ƒ;plq` ls§„nu›_imhFª__~ r©Ç'qximimlh h {Ll©t§r©ƒ;uxi­_¼Dpkjimloh;`_4r ‚z~ l_uÀr©ºLy;‚zkm__pqxux_Nq ƒX~ t;pqximq›`Kt ~ __u4r©½ h;ƒ[$\ u›‚imu#rs_pºL_o³/q›_r4h;§Huxq›im_ lo~ h r1_‚h~r©_y;‚ km~_l|u#pNlo_h;uxu›_,ijhFqxnl
l©r اb_ qx~ imr©`Kn_¨_?¼DpÄ1lÆÏ`KÇ^‚;ÌÀÉ km_ºLËNim³¯qDw|r©½ h;[$ƒ \ Ä_ÆḦ́Çvl Èx~ É uxq¹Ë¼ p4imrshXux_q p\ l_`Kp‚;lkmhL_qxºL_Nimº|qDwq¹¼H§~ ~__`¨_ r©p4imh;rsuxu*_oq ½ \ _[$uÀ\ rsim`Ku1_¯`r©_uq \q \ lL_#ƒÅuxlq?rsh;h;kmwŃzr im~`ƒ‚ rs~ kml nØ l _~ u
imq q\ \ ` _
Í$q \ im_,q \ lhFimhL_bqx_Í$noim_ q ~\ r »z~ l|imqrs\ q›`imh;ns_q›¼Dim‚plo³;imyzh|qlq r \ ~ imqimh'\ `qxim_`q›im_,p$rs§ r©hFijƒ kmu4ux½ ‚r©p_³*rsuq \ _)u›qÀrshFƒr ~ ƒ r©kjnol ~ ijq \ ` ijupWr©kmkj_Nƒ Í \ _h
~‚ rsp$ q›hXimpØ r©_ƒ;³^~ ƒ;rs\imu$qximu lo\ hÃlsÍ$q›lÃhq y|\ w1_q h;\ im_,p_K_ºLq ‚z\ _ _N~ l im~`K_Nqx_imhLpWqÀrsrsk$k>yzDzlntFt h;~ ƒ;_u$uW³*§ ~ q l\ ` _hF‰P~ __ͅpqxim`loh ~ _Nq °FØ\ ½ lLƒXrskmu›l¨~ yz_ \ r Ø _u $Ø _ ~ wÅÍ_kmkimh
imlohLhÃqx_ q«~ \ __ _1uxq›_imuxh;‚zqn1_pqx_iNl1Dkm_pWuxrsr©u4hqx³$r©imluxkmw|hvloªN`½ Ë_#_1_¾#º;lh;rs‚zlopN_qxq h8km\ w_ {L~ q t;\ ‚__#u›~ qxloy;imy;imlq¹kmh;¼ _pu`lor©`imh;u‚;ƒXkmq _\ ‚FºLr©k imr©qbqDw,pq _\l©u§_1§Hq l ux\ q?_brsimh;u›`KƒzqÀr©‚r h;~ ƒ'ƒl r »z_~ `ƒ¨l|rs_r©q›hLkjimnoh;q›luns~ ¼Dij‚q_lo\`¨im`Ãh|r©q$im½*h/hLÆ ½ $ t;q$`1Í$q1yzij̈́_kmkz~ loubƒ;t;_lokm‚zƒÅhÃ_h;ysƒˆ_
y;u›limq›kmt;uqxpWimlor©h¨h;h;q l\ q1rsq$yzÍ_lt;tFuxkj_Nƒƒ8yz§H_l ~ ijhLk¡q›r _ ~~ n__u›qximu›h;ijªNnK_uWqxl1³$yzuxq›_t;pWƒ;r©t;wuxim_'u$qq \\ _¨_§HpNll|km_ kmls%Í$pimimh;_nhLqx½ u$ h;yux_Nq›p_Wlrs`Kƒ _¨ls§q›pNlLllÅ`y;‚Fimnt;qx½ imh;¾n
»‚zl|lr©uxqxu›imimh;y;n©km_ ¼
‚zl©§¯limphLloq„h rsØ ‚F_ ~‚ n~ _lsh;ºLpNim`¨_§r©~ qxloiml`h;uzq §Ï\ l _)~ noq _\ h;_#_ p~ lLrs_&qx%imh;pNnKij_N§Hh|tFq›h;up0.qx24imlo3 ^h ³sr©uxq›uxluxlL~ _#pi¡q r©\ qx__ƒÅØ rsq›kml¨t;_Nq uJ\ :_0.2K?L3 5q 8 \ 2h;lÍ hL\ q›__ ~~ `K_ 4ijhz2brsimkDu½ q $ \ h'_ ux~ tFrsp ƒ;\ imt;r u
Í$r4w|«³Llolsh;ͅkmw1q \ q \_ _im`‚zl‚zkmlwL~h;q?lrs`KhLq,i¡rs‚zk;l‚imr hL~ qxqucÂÆHr©q1Í kj\ _4imrsp ux\ qim§Ïu$l `1~ t;t;pu?\ËBeux`¨g#lsr©Íkmkj_ ~ qxl'cƒ;Í_u›limnt;h kmƒKrsyh8_,lu›hPqxl ¼ km~ im_h;ƒ/_ ½ Ø _ ~ u›imlh8ls§q \ _
r©Æ uxkjimno`l ~ ‚;ijqkm_\ u›`qÀË t;~ _Nu›pijhFt n1~x~ _»h;lLprs_Nqxu$imh;§Hn©l ¼~ ‚zq l\ im_$hLqbpNl|r _ ~ %imq \ pim`_hL_qxq›uijpN&_ u %pim$_hÃhLqxq km\w_)§ ~ pNll` hLqxq _\ ºL_q¹¼Hn§ ~ ~ _r©_`p4`rsuxr _o~ ³ \ ls$ h)Í q q›\ l_$pnl_N`Kh;_ ‚;~ r©t;kqx_
p4rsq ux\ _o_ ³
ƒ;u›q lL~ _tFupqxr t ~~ __pu t e~›~ g_hFlspÍ _1qxkmiul1'o_#not;q \_u›rsubqrs§HlohFt;ƒ¨h;‚ ƒ~ l yLØ w_€*u›t;t;pkm_ \ ~ r §Hl ~ ~ _p‚t r ~›~ ~ qx_imqxhFimplo_ hhLt;`1yz_ ~ u_ºLimuxq§Hl ~ rskmkƒF_pl`K‚louÀr©y;km_
‘K— Z&ÕFÔ ÏÑ;Ö zÑ ÅBÑ &/” 0 \ ~
~ Ø
\ ~
»ƒ;lLt rs~ imq›h;ijhFn1nsq ¼D\ ‚_ loij~ hL_qƒr©r p~ imqxq im\lh`_lsq›§imp¬Åq \³ im_ }*u$\ q‚imrskmr©ij‚z‚Fh _ ‚' ~ _)½ ²vr©k¡rt ?lo_Nkmh|_q qbr©¾#h;kmlƒ h;ou›l_WrshP§Hl ¼¹etFnwi ij} hF_nXhrst;tFuƒ q §Hl _Å~ l q \ im_noi ij~ hzrsrsk#pNqximi ƒ;Ø _4_rXuxt;q›‚Fl8‚t;l ux~ _q
$"$(
®jŠ ± 3ÆxŠW/ ‹o4‹sˆL=Ë8³L4 °a‹ P°o‡;½h;i­§Hl ~ `!n_hF_ ~ r©qximlh ls§r P loqxª'LimhXÍl ~ ƒ/½ S^¤;š?¥o™xš4£HŸ¡œ& ¥o¢^|£\aRœ4Ÿya ® a ± ls3§/ q 4~ _=_N8uW4 ½R ¥™Ÿ 10£j¤F5 ¢)Ÿ¡œ& ÆxŠW,‹o‹Œo˳^<ŠW2 o=a 4 ^9.ŠW9·aF½ s¾ kmijhF_Wr ~ ¼ q›ij`K_/rskmnl ~ imq \ `8§Hl ~ q \ _no_h;_ ~ rsqximloh
® ‡ ± q3\ :_u›=im4u$/ uxq ~ imh;nu4½V , Sz™Y/ž1a 1 - ™›¥ * ™
o¢ a'= h; i­§Ha~l <~ ` [4ž£\~ a r©|h;³/ƒ;Š1l` Æ |r©nh/_Nh;½^_ ŠW~ ‹or©·qxhimlËNh ³^ŠWlsao§a yrsŠ4k¡ar©·Fh;½ p_ƒ'‚r ~ _hL¼
® ˆ©± , .,.: , 9.9 3* 1 E{1<&8>jš D` 4 .š319 šš4™xš œ?š #=1< 4 Gm½„‰L‚ ~ imh;n{_ *j~ ¼ ´Î4_ .~ , k¡rs{nz,³^ ŠW‹o‹;* н
!" #$
!,
-%./10 &%2'
65
:) 80&;<9 !%6%
&%4;
"'3 4E5
øvø
~€C&‚
&%(' )
3 41+ =">?8@?9
GF6H
*+
87
?3A/3
5
9
6BC08
&B
4D0
Š4
Ÿ ,š Ÿmžš o/Ÿ¡¢¢šW™¢+ 0
R( ® ° ± 7™,<Ÿ¡£m;.¤;5R¢ ,=š4 8 £HŸ 4L* šž`H<m,ž~ c~*#mš;.ž//1P : rsu›uxlo)h/* ³/Š4‹‹ŒF ½  jŸ¡£ šÅ ¦šNž œ&jœ4­žÃžL™'¥™x¦oŸ o£Hš4L™a ;š4™?žÃ¦šNž
®  ± ^¥1¢\ 8L1 £Hš4™Roœ4e'Ÿ¡š_g h$œÀ_ g š ~ r©qximloh,³/rsŠk4_WÆxg r©ŠW‹oqxlo‹i o~ Ë_*³L_ˆ|q/‡ t;PhFoi ‡;§Ïl ½ ~ `K_^ƒ;_`Klqxuzƒ;_k¡r©h;n|r©n_u ~ rsqximloh;h;_kmuW½.S^¤FšÀ¥o™xš4£HŸ œW
® Œ ±~
~rs/q›,imlCh=4 B /19 h;k¡r© y_kmkm_ƒ 57uxq 57~ t;10pN:.qx57t ~,_uW½ $ h ‚ ~ _N,‚ r ~ rsqx7;imlo.h/9=½ 8105 $¾ pWrskmptFkjtFubl©§ ~ rshFƒ;l` n_hF_?¼
® · ± h;
~_ /~ ,r©Cqxim4 l/h11l©9 § k¡r©y_kmkm_yƒ57p5Rl1`1:.yF57ijhz,rsqx l ~ i¡rskoux0q ,~ t; pq›t 7;~ _N.uW9=½38)S^1¤;5 š?¥o™xš4£HŸ¡ œ&z ¾8¥pW¢r©km pLt;£\kmt;a>u*œW§HlŸ a ~ q \ |_ ³^~ Š rs¼¹hFaƒ;ÆxlŠ4` ‹‹©nˆ|_?˼ ³
Š P‡o°;½
® ‹ ± ux ‚4.r©p/ _½ U&;. :.a 5 {™›*¥Wœ?šNžÀž aDrsvhFš4ƒ;£Hl\£ `a no_h;ƛ_ŠW~‹ors‹qx°imËNlo³|h1aolsa§^‹ P̈́al ‡o~ ‡;ƒ;½uimh1rsh1rskmn_Ny ~ r©ijpk¡rsh;notrsno_„imhkmijhF_Wr ~ y;imhr ~ w
®mŠCh ± kr©h;2n{tz1rsn_o~½ , a ^4¥.¢ 1 L£ a |³Fh;ˆ i­§HÆ¡l «~ l` Ø ½^~ rsŠ4hF‹·oƒ;‡lË` ³LsnˆL_° hF;_ ~ °r©°Fqxim½ lh l©§uxq ~ imh;nuijh rplohLqx_ºLqD¼Ï§ ~ __
®mŠŠ ± $Œ€°sˆ©€¼ €8Š4‹u›·oqÀ°;rs³hF«ƒ_r Í~ ƒ§Hll ~~ '^y;³LimŠWh‹or ·~ °Fw1½|»r©lL‚;rs‚ q›~ ijl hFØ ns_¼Dƒ ‚loP ijhLr q$~ p r \ ~ ija;q \ Šo`³LŠW_N‹qx·oimp° ½ B [$ €_p€\ €Å½ ‰PqÀ_rs‚/hF½Fƒ¾#r «~ ƒ;‰ u $ K„¼ $ lL€Îr €~ ƒv€<³‰Prs‚;qÀrs‚ hF~ ƒl Ør _N~ ƒƒ
t;kmwaF³^ŠW‹o·°Bv¾#`K_ ~ impWr©h«rsqximlohrsk/‰Lq?rsh;ƒzr ~ ƒFu $ h;uxq›ijq›t;qx_o³/ŠW·‚zrsn_NuW½
®mŠWa ± ux3q ~ ,imh;n.uv,ij h ~ _not;k¡r U~ k¡1rs1h;notrs no_uW ½ $ {h , ™x¥4œ?*#šÀš?,¦oŸ ., .ž¯1 ¥Y„£m¤;šŸµZol£j¤3tFh| q›0imh; n Gr©Th; ƒ ~ r©h; ƒ; l ` n_N<h;[s_ ¢~ r©;qx¥simlžhŸ¡Ll©¢ §
¥ ŸmžœW™›šW£Ï7š R ¥™NŸ¡£j¤F¢,ž1ÆH‰Frsh¨² ~ r©h;pimuxpNl³µ$r©kmi §Ïl ~ hFi rF³xr©h Š4‹‹o°Ë³o‚;‚/½z°°FŠ P°o°ŒF½
®mŠW‡ ± ls§ .#;.¦o9 ¦Ÿmž¥ ! šNS^&ž ¤;jš Eš ['ž ™Nš4£)™Ÿ¡Y¥ šN ž œ?Ÿ ¥ ¢ œ? ¥L¢ £Hš4 +™ L£Ï^šW™x™ ¥ ž Y™ œ4Ÿ¡¢š ¢)œ?#š Ÿ ³ ¦8Ø loŸ kD ½¥oa ™+¢ BÉP£Ï_Ÿ¡¥` imhL t;™›`¥Wœ?_ šN~ ž?imž pWŸ rsk$ ½rskmno¾l ƒ;~ imƒ;q \imux`loh u
¬Å_uxkm_wL³^ŠW‹o‹;½
®mŠˆ©U± W*# ,a y:= 8™›4¥Wœ? šNž?ža$/š4 £H£\1a eo_N³h;aK_ ~ Æxr©ŠWqx‹oim‹sh;ˆLnK˳;̈́‹l ° ~ Pƒ;‹ou‹;im½ h rplhLq›_ºLq§ ~ _N_)k¡rshFntr©n_,t;hFi §Ïl ~ `Kkmwrsq ~ r©h;ƒ;l`'½
®mŠW° ± }*"~ #_)u›1uW ³*.ŠW;‹oŒ8 ·F½ , $y/
¥+¢ 4Ÿ £Ï¥™NyŸ GR ¥o™Ÿ¡£m¤;¢
ž³/u›_plhFƒX_ƒ/½¾pWrsƒF_`imp
®mŠW ± n_,.h;/&_ % ~ rsq›imh;n `rsh;,ƒ '\ lkmloy5Rh;l57`K1ij:.p5R§HtF,h;p qxim(loh;u1ijh'eb§Hlt;hF=h _ B$Ø ¾ r ~ Pi¡rsy;rskm‚;_km½+_,‚zrs&p 'rsnoSz_,™Y§Hl ~ ža q \ #_1o`£j¤0rsah;im‚;¥
Nt;£k¡~r©aqximls*h)o³l©a §
Æ tFh;_ŠW‹o‹sˆL˳zŠW‡ Š4ŒŒ;½
®mŠWŒ ± qxt y~57_5RuW½ 1#:.57<,mTš Szš?œÀ ¤ #s³ve
Š)r @A¡Æ›r ŠWB‹‹©rˆ|‚ËN³;rs&p‡'· rsLnoˆ|_F½§Hl ~ q \ _ ~ r©h;ƒ;lo` no_h;_ ~ rsqximloh ls§plo`1y;imhrsq›l ~ i¡r©ku›q ~ tFp?¼
.
.
&%
" # 4
3*?
(F
9
&%
+10
&%
+D0 ?
-%
A
4
= +
:5
&%
E
6
7
13 7
&)
>
'391'
>
!% &%
&)
'3
65
:5
&) .
A ?
&)
'
&
=?9
0
&%
&%
;
6 A '3
E5
65
"5
17
þ
vø/þ¡ü
Unit´e de recherche INRIA Lorraine, Technopˆole de Nancy-Brabois, Campus scientifique,
615 rue du Jardin Botanique, BP 101, 54600 VILLERS LÈS NANCY
Unit´e de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex
Unit´e de recherche INRIA Rhˆone-Alpes, 655, avenue de l’Europe, 38330 MONTBONNOT ST MARTIN
Unit´e de recherche INRIA Rocquencourt, Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex
Unit´e de recherche INRIA Sophia-Antipolis, 2004 route des Lucioles, BP 93, 06902 SOPHIA-ANTIPOLIS Cedex
Éditeur
INRIA, Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex (France)
ISSN 0249-6399