HAL Id: inria-00071682
https://hal.inria.fr/inria-00071682
Submitted on 23 May 2006
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub-
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non,
Heterogeneous Reactive Systems Modeling and Correct-by-Construction Deployment
Albert Benveniste, Luca Carloni, Paul Caspi, Alberto Sangiovanni-Vincentelli
To cite this version:
Albert Benveniste, Luca Carloni, Paul Caspi, Alberto Sangiovanni-Vincentelli. Heterogeneous Reac- tive Systems Modeling and Correct-by-Construction Deployment. [Research Report] RR-4901, INRIA.
2003. �inria-00071682�
ISRN INRIA/RR--4901--FR+ENG
a p p o r t
d e r e c h e r c h e
INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE
Heterogeneous Reactive Systems Modeling and Correct-by-Construction Deployment
Albert Benveniste, Luca P. Carloni, Paul Caspi, and Alberto Sangiovanni-Vincentelli
N˚4901
Août 2003
THÈME 1
+ ,- .0/213/ + 4 )65789():' "3<;
=>@?ACBEDGFHACI0JKACI LNMODPACQSRUTV WCXZY:[\XKB]>N^_I L@`]RUYaXbV >c\XKM]d Lfe]R
XKI gh=>@?ACBOD]^Zi-XKI j_LN^kJKXbI I Lmlon9LNI WCASID]AC>N>@Lfp
qrtsEuvwaxzy{O|}vO~kv):|}k| osEuvO|
.} v):
y!~2K}2v,}v]r2vEr2vStwx2cSxHt~SvO|
¡-¢O£E¤¦¥2§£¨ © vªt}SbC|«v<~¬u'~¦}rtvEu'~¦o®O~¯c°±o~uHvO²³S}´Z}µkvO~¯c²¶}r·}r2v¸)SubC|«¶}®h°
rtv)}vO}SvO2vESt|-}v]~o¶¹Sv!|«k|«}vOu|Oº.»c2U}rtvEo3~¯¶¯®¦²!|-}vO|«o~¼t¯¶½|«rHor2vES}vOu|O¾°±ou¿²r2½r2vO|}¶S
ovOr2t®ÀC2v]|!E~¼KvkvO}®¹v]0º © v®¯®¯¶t|«}~¦ov}r2½|!¼ ²³GO~|}vO|OÁU}r2v3kvE2¯®¦uvEC!°.|}Cbr2}S2b|
2vO|}¶St|a¦¹vEÂ:Ã-ª~ortÄovOo2ovO|O¾_~tÅor2v'kvEt¯¶¦uvEC°|}tr2o2St|:2vO|}¶St|a¦¹vEc}rtv|}Æ
O~¯®¯¶v]Ã4S|}vE¯®Gq¶uv)ÆÇq}®SvEovO:ortÄovOo2ovO|Oº
qr2½|}vObS«®|~v)ovEtkv]G¹SvE|«®'°~t~bvO³²¶}r9|o~uv!oÄo¯¶va}rb~¦~2KvO~}v]'¶}r2vÈÉ}Ê]Ë]Ì
Ê«ÍγÏ9ÐÑÒÓ:ÔÕÖÖ×SÌ'qr2½|a}vObS«,~tbv]~ovOØ~¯®|}~S|a~}v]r22½E~¯-ovEK}:°±ouÙor2v'Ú!2®¹vOo|}¶ °
Û ~¯¶¶°±o2½~3~!ܳvO}´SvE¯®vES¾kCtu¼KvE!Ú Û Ü!ݦÞy!ÃàߨSCÝ2º
áÅâCã_äoåæ
¤¦ç-¢¨
ovO~S}®¹v9|}|«}vOu'|E¾vEu3¼bv]2kvOè|}k| ovEu'|E¾|}Cbr2}S2b|E¾~S|«trt}S2t|O¾Â:Ã-_¾
°±S}u'~¯0uHvE}r2k2|O¾kr2vE}vEoSvE2vOt||}k| ovEu'|Eº
é½ê0ë}ìfíOîëï-ð®ìfñ@ò)ó
ô!õ4ö]÷ùøúmû ø@û«üúmýföHþüø.ø@ÿúNû÷ PüúNöPûbÿ]úû«ü ÷ùø@øN÷ ÿ Pû úNöPûPúNû ýNø! #"!$%&"!')(
*
'Oõ&+-,..,/+-01023(ü 465kõ
*
'Oõ(
*
'Oõ&+-,..2+-0371,.(7@öPû686':93ÿ Pû ú&@ö]û6PúNû ý
*
õ;5=<>&5+>.,,[email protected](ü C7
@öPûED':56F
G *
úm÷ùøfü7H
*
Púm÷ü(0üPÿPøIPû6%_û«üÿJù÷ùû ÿK(0?.37,E54û Pû ø0ý ûPûLM(9¦ú@ü ]ý«û(I!ü÷JONP4QJû«ú-AF%_ûA 7R)û P÷ùøNûTS-÷ùúN÷ùø@üFU®ú(V3ûKN
öWMNHH}þ4þþXF÷ùúm÷ùøfüFU¶úYHoøN÷Z!ü,7H/û 7R)û P÷ùøNûTH
[
"XF!F\%_û ú]ûJùû7(%_û ú]ûAJùû7(&4_^3`,.(aI!ü÷JONcbTJùý«üúJ P÷O(üJû ú-W:dS-û û ý øTFû ú]ûJùû7FûA]ÿK(&VûAMNöKNHH}þþ4þ+
ý}üMFû«û ý øTFû ú]ûAJùû7FûPÿHe;ûTf2üZû øH7bTJùý«üúJ P÷O(üJû ú:d
gih
û«úm÷!üZ(E_û NúmûjIkEÿ¦ü/N÷ K(E,(UúmÿPûlPû
h
÷Z ¦ü/Nû(X9#[email protected]÷ùû úmû«øA(EI!ü÷JONf2üÿJOF0üøP÷nS-÷!üZFU®ú(;V3ûKN
öWMNHH}þ4þþXF÷!üZFU¶úYH
h
a5
*
$o4!DHfI6fp #Hf2üÿJOF0üøW]÷
q
øfüûUüø; aF!F
& 8(E)! "3 ³ . 8,³4-)
¢ ¨ »cZ2oKS|}v2 O~kovu'~}r2{Ou~}½ÀC2v9bS2')uKS|}vE'kv]|'|«k|«}sEuv]|}{]~oİm|
rt{)}{O}SsO2vO|Oº Û v!O~kovbvO}uv)S¼k}vO2¶³kvO| or2{ES}sOuvO| v)kv!)St| o}t¶ovkvO|.~¯¶SoÄor2uvO|-K2
~S|}|}2ovE³¯®~3)oovOo¶SGk2{E2¯®®vEuvEC]º.»c¶¯®¯¶b| o}v)vE«}v~t2}kr2vc|«2¯®vO|~r2ÄovO)}2ovO|Â:Ã
~¶b|«ÀC2v,|}2¯¶v]|!~r2¶}v]}t}v]|2ÄovO|}ÀCt~|}ÄÆÇ|}Cbr2}S2vO|º
Û vHo~2K}:vO|«at2v¹SvE|«®ØEu2¯®{)}{Ov32 ~}}½)¯®vK}o~Ca¯¶v3uOuvoÄo}vS¾Kb~o<2~b|:¯®vO|
ÈÉ}ÊOË]Ì9Ê ÍγÏ9ÐÑÒÓcÔÕCÖSÖ×SÌ Û v3~2K}cv]| {EC~¯®vEuvECt~o<|}t|c°±S}uvkv3~tbS«c}vOrt2®ÀC2v
2va¯Ú!2®¹vOo|}Äo{kv Û ~¯®Ä°±S}t¶vS¾2ܳvO}´SvE¯®vES¾:'Ú Û Ü!ÝPÞy:ÃàߨÝtº
æ £]¢ ä § ¨ |}k| osEuvO|!}{]~oİm|O¾_|«k|«}sEuv]|vEu3¼t~ÀC2{O|O¾b|}tr2o2vS¾t~|}tr2o2vS¾bÂ:Ã-_¾bu{E}rkÆ
kkv]|°±ouvE¯®¯¶v]|E¾2|}k| osEuvO|r2{E}{O}SsEtvO|Oº
+ --
1324
£O¤ æ ç -§£5æ 4 6
798
¥*:: â ç<; ã ¢E£ â ¬¢3¥
4
ç>= â £ â ¤ æ : â 4
âæ ¢?; ã ¢E£ â ¬¢ @
2º¶w q-~Sv]k|«}vEu'|º,º,ºº,ºº,ºº,º,ºaº,ºº,ºº,º,ºº,ºº,ºaº,ºº,º,ºº,ºº,ºº,º,ºaº,º A
2º¶wSº¶w B:vCt2¶}®t|Oº¬ºº,ºº,ºº,º,ºaº,ºº,ºº,º,ºº,ºº,ºaº,ºº,º,ºº,ºº,ºº,º,ºaº,º D
2º¶wSº tr2o2St|k| ovEu'|Eº¬º,ºaº,ºº,ºº,º,ºº,ºº,ºaº,ºº,º,ºº,ºº,ºº,º,ºaº,º D
2º¶wSº q¶uvOÅtrt}S2t|k|«}vEu'|Oº<º,ºº,º,ºº,ºº,ºaº,ºº,º,ºº,ºº,ºº,º,ºaº,º E
2º¶wSº :|}Cbr2}S2b|k|«}vOu'|Eº ºaº,ºº,ºº,º,ºº,ºº,ºaº,ºº,º,ºº,ºº,ºº,º,ºaº,º E
2º¶wSºA y222®2'vEk~u2¯¶vSº$ºº,º,ºaº,ºº,ºº,º,ºº,ºº,ºaº,ºº,º,ºº,ºº,ºº,º,ºaº,º E
2º¶wSºD B:½|}Et|o|«®ººº,ºº,ºº,º,ºaº,ºº,ºº,º,ºº,ºº,ºaº,ºº,º,ºº,ºº,ºº,º,ºaº,º F
2ºHG:v)ovEovO2vESt|k| ovEu'|ºº,ºº,º,ºaº,ºº,ºº,º,ºº,ºº,ºaº,ºº,º,ºº,ºº,ºº,º,ºaº,º
I KJLJ M5N§¥k£5æ 4 £ æON3æ ¤P¤ â §£QP â J æã â 4 £ 11
tº¶w }v]|«vO}¹®2kvEu'~C}½E|OÁSR2S}u'~¯¶UTO~}®7º,ºº,º,ºº,ºº,ºaº,ºº,º,ºº,ºº,ºº,º,ºaº,º wSw
tº% ÂavO2vE~¯y!vO|}2¯Ä!S Û S}ovO)VBcvEt¯¶¦uvEC º,ºº,ºº,ºaº,ºº,º,ºº,ºº,ºº,º,ºaº,º wP
6 P â Jæã 54 : 8 5 â ç>; ã 4
§W4¤ æ 4 æ ¢X;YJ â §Z5\[ §¥k£5æ 4 ¢ æ]bâ ¤#^`__Za
1 @
bº¶w qrtv ^`__Za Æf2}}k)S¯K~t,bfo|.oKvE}}®vO|ºº,º,ºº,ºº,ºaº,ºº,º,ºº,ºº,ºº,º,ºaº,º wA
bº Û S}ovO) ^`_`_Za BcvE2¯®¦uvEC ºº,º,ºaº,ºº,ºº,º,ºº,ºº,ºaº,ºº,º,ºº,ºº,ºº,º,ºaº,º wE
@ N3æ
4 § -çL5
4 : â ¥2¤c¢
70d
KJLJ â 4
çL5MeU¨à gf M5hJ ¢ âàæi £W âkj ¤5l:5
4 ¥ 8
¥*:: â ç ä ;m5M:
4 ¥ æ ç â ¡ ãonââ ¥ 4 ç
;4¥
4
:5æ] ¥
4L4
5äqp 54 § â 4 £ â M5
7Y1
34 '&)
qrtv? KÊmÊ ¸Ê Í ?rt~S|¼bvOvEØ~)ot)½~¯~|}bv]° vE¯®vO)}o2½,|«k|«}vOu kv]|«®°±!SvO~o|OºsB:v]~¯®¶2
²¶}rµ)St)2oovEtE¾ }®uvÅ~tZE~b|}~¯¶¶ ¸rt~|H¼KvO)Suv®t)ovO~S|«®2S¯¶¸k'E2¯¶'~S|3}r2vÅ)Su2¯¶vEkÄ
°.}rtvHkv]|«®ªo¦²!|Eºqr2v, KËÉ}Ê$ KÊ .KÉoÊÉ-- #'Ê Z!Krt~S|crb~Øu'~ |«tO)v]|}|}vO|a~¦a}r2v
|}KvO)CbO~¦}®µ¯®vE¹vO¯!¼KvOE~t|}v¶2o¦¹®2vO|~à|«®u2¯®vE'²~Pà} ~SE)v]|}|Hor2vÅK¦²³vO'°,)b)2o}vOt)
®è°±2t)}®t~¯:|}bv])CbE~}®ºtr2o2St|'Ã4~2b~v]|¯¶®´v _F@¾ ^ _!"wE#f¾!~b
$!%'&)( a*+2w,f¾4or2v $ _Za_-/.Ya* _ HukkvE¯®®2Åuv)}rt2¯® wF0f¾-~t¸kvO|}¶S¸vE¹¶o2uvOS|¯¶®´v
$!%21 %2(354$ _ a_6778/9:¦U~¯¶¯-¼KvE2vC2°±}Su or2v|«®u2¯¶½)¶ Ű}r2v, KËÉ}Ê$ KÊ? .`lmÊ$ t¾
@ºvº®Á"; w0<}r2v¸|«k|«}vOu vE¹S¯®¹vO|G}r2otr ~·® Ct2¶}và|}vOÀC2vOt)vª°H|}tO)vO|o|}¶¹Svª~¦ou½ØovO~)}®t|
®tkvEkvO¼H~ !¶ÊZ(q$!`!¶Ê mË!Ë!¶ÊOË=¾!;@><k2o¶2~}v]~o¶SvO~r'EubS2vEC³Eu2kovO|2vE²èvE¹SvECo|
°±S!~¯®¯0Ä|ko2k:|}¶St~¯½|¼t~|}vO}rtvat}v]|«vOt)v¦Ý¦~¼b|«vOt)va°-vE¹vOCo|)SuHtk}v]®}r2v,2ovE¹®t|
ovO~So¶SZ~b0¾?;N@<3}rtv9Euut2®O~¦o¶S¬°vE¹SvECo|~uHS2¸)uK2vOCo|kEE2# * $ 0 `oÊ$!"
¼Kv) ²vEvO ²'|«bE)v]|}|}®¹va}v]~o¶St|Oº
G:¦²³vO¹vE]¾Kİ.or2v3|}tr2o2St|:~S|}|}2uko¶S<|«®u2¯®Ctv]|c|}k| ovEu |}bv])CbE~}®¾K}rtv32o¼t¯¶vOu°
2vEo¶¹®2Å~Å)oovO,2rk|}®O~¯U®uHt¯¶vOuHvOCo~¦o¶S °±}Su ¶kvO|,ovEu'~®ºQbǸt~«o®E2¯½~]¾kG)2¯¶}®vO|
~}½|}v²r2vO<or2vHo~ovE~ortÄovOo2ov°±Scor2vvEu3¼bv]2kvO |}|«}vOu7rt~S|a~k½| o}®¼2kovOªt~¦o2ov3ort~¦
¼b~k¯®Øu'~¦r2vO|or2vG|}Cbr2}S2b|a~S|}|}2uko¶S ¼KvOO~t|}v°¯®~}Sv¹P~}½~b)vH¶ Eu2k~¦}®¸~b
Euut2®O~¦o¶SÅ}®uvO|,~bؼKvOE~t|}v3°}rtv2AG)t¯Ä Ű³u'~®Co~®2®29~S¯¶S¼t~¯-2o¶S<°.}®uvº
qrt®|4®|¶b)ovO~|}®2¯®!or2v³O~|}vU°±u~c®ubS«~C)¯½~|o|}vO|0°2vEu¼KvOtkvO~22¯®®O~¦o¶St|®~P¹¶S2®O|E¾
®tkb| o}½~¯C2¯½~Co|O¾~t}r2v~k}SuH}®¹v³¶t2t| o}SºLG:vEov¾¦ut¯Äo¶2¯®v2oEvO|o|«®2!vO¯¶vOuvECo|-KvE~¦o¶t
~kBKvO}vOSE¯¶k´°±}v]ÀStvEtE¶v]|U~ov2®|«}o¶¼tk}v]'~v)ovEtkv]~ovO~~tE22v]ovOH¹®~,EuukÆ
t®O~¦}®uvOk½~|«br~S|³¼tt|}|}vO|C;mvºtº®¾ Û °±S~k}Su}®¹v,~22¯®®O~¦}®b|E¾k:yb Û °±~P¹¶S2®O|E¾
~t ÞU}rtvEo2v),°±S¶bkt|«}o®~¯~kou'~¦o¶SD<c|}vEo®~¯U¯¶®2´k|OºÜt|}|}vO|,~t¸|«vO}½~¯U¯®®2´k|E~¾4r2¦²Æ
vO¹vOO¾k¼KvE~}vE°±2¯®¯¶2vO|}¶S2vO}GEu2¯®²¶}rØ~2}®9° ¯®¼b~¯|}Cbr2}S2UTO~¦o¶S~S|}r2v°m~u¶¯®
°.q¶uv)ÆÇq}®SvEovO9!r2¶}vO)}2ovO|E;_`_ a <¾_¶Co}kktEvOÅ~tÅ2ouovO9¼#Gº!F:SbvET wO0f¾K}v]| oÄÆ
CbvO|Oº |}tr2o2St|³¶u2¯®vEuvEC~¦}®b|ut|«¼bvEt|}vEo¹¦~¦}®¹vS¾C°±)®2or2v)¯®k´}o2~S||«¯®¦²
~S|,or2v|}¯®¦²³v]| 3Eu2k~¦o¶SKݦEuu2t®O~¦}®àt}k)v]|}|G;IHÊÉ'«Ë q.Z.KÉ}ÊË<)º¬qr2v¦¹vEor2v]~
®u2¯®¶v]¸¼C<}®uv)Æ@}o¶SvEovO ~r2¶}v]}t}v]|~t¸|}tr2o2St|¶u2¯®vEuvOS~¦o¶St|,½|°ovEàvO22Sr
o E¹¶b)v2vO|}¶S2vE|oªb|«v9~|}tr2o2St|Euu2t®O~¦}®Z~r2ÄovO)}2ovO|H|«brZ~|}rtvS2vO|
®u2¯®vEuvEC}v]¼CG}r2v,¼2b|}|}vO|uvECo¶S2vO9~¼K¦¹vSº
© v3~}S2va}rt~:¶uKS|}¶t~ «r2uSvE2vOt|akv]|«®ÅK¯®½)¾K|«br9~S|}rtv°±2¯®¯¶9|}Cbr2}S2b|
~22oS~Sr¾P)u2¯®v)HkvO|}¶St|-²¶¯®¯k¼Kv¶tE}v]~|}¶t¯®2AG)t¯Ä]º G:v)ovEovO2vE¶ ,²®¯¶¯ku'~tݱv]| U¶o|}vE¯¶°
~3or2v9)uK2vOCH¯®vE¹SvE¯²r2vEovkB_vEovEC'uHkkvO¯®|3°a)u22o~¦o¶S¬u'~P¸¼bvt|}vO } }vO2}v]|«vOC
EuK2vOSKvE~¦}®h~t0¾uov۱ovOÀC2vOSo¯¶S¾:~¦kAB_vEovEC¯¶vO¹vE¯½|G°~¼t|«}~)}®¾²r2vO}vS¾°±
vE2~u2¯®v¾b~|«tr2ott|«Æ@¯½~tt~vc|}KvO)CbO~¦}®Å° }r2vHkvO|}¶SÅu'~P¼KvovCt2v]9¶Co~'¯®¼b~¯®¯¶
~S|«trt}S2t|³¯®O~¯®¯¶|«tr2ott|;NÂcÃ<~ortÄovOo2ovº
bÇ9or2®|:t~KvE]¾t²v,2o¦¹®kv~u'~}r2vOu~}½E~¯°±~uvE²o´°±:}r2vrtv)}vO}SvO2vESt|uHkkvO¯¶®2G°
ovO~So¶¹Svc~bGovO~¯¶Æ@}®uHv|}|«}vOu'|oH~¯¶¯®¦² °±ovEv]ku$°r2½)va¼Kv) ²vEvEkBKvO}vOS!|}tr2o2UTO~}®
K¯®½)®vO|~¦kBKvO}vOC,|«o~v]|c°.}rtvGkvO|}¶Sº3qrtv3°±kEt|°S2°±~uvE²o´½|rt~tk¯®¶2ÅEuukÆ
t®O~¦}®ª~tª)k®t~¦o¶SØ~u2r2v)ovEoSvE2vOt|:2}kEvO|o|«v]|!®ª~Gu'~}r2vOu~}½E~¯¶¯®Ø|«S2tŲ~Pº
bÇCovEovO|«}®2¸²³S}´¬~¯¶S2à|«®u¶¯½~'¯®®2vO|'rb~|'¼KvEvOZor2vØUo¯®vEu3¬2o v] w]k¾!wAJ@¾or2v<ßÅCÜ bÇÞ
t} vO
w @¾.}r2v9ßÅkkvE¯¶Æ bÇSovESo~}vO
Û
u2ko¶2;mß b Û
<°±~uvO²³S}´
wD0f¾~t EɱÍˬÓ!*Ê$'
ÉM
wE@º
»c2u'~®ªEC}o®¼2k}®b|c~}vH~u'~¦or2vEu'~}½E~¯ ukkvE¯-°±Sartv)}vO}SvO2vESt|:|}k| ovEu ¼22®¯¶,~S|c~
¹¦~}½~¦o¶Sa°k}r2v «q-~Sv]ÆÇk¶St~¯ßÅkkvO¯°tÃvOv~t3k~2S¶¦¹¦~22¶Æc¶tEvEC}vO¯¶¯® 0;±®,or2®|t~bvOO¾
O~¯®¯¶v]9}rtv Ð Ê !<c~tª~|}v)a°.or2vES}vOu|!}rt~|}22K}cv BKv]o¶¹SvovOr22½ÀC2vO|:}vO2vE~¦ov
~k}Su'~¦}½E~¯¶¯®Å)S}ovO)«Æf¼CCÆÇ)St| o}b}®Ø~S2~2}|c¼bvE ²³vOvEª2vO|}¶St|c°±ou2¯½~¦ovOªt|«®29kBKvO}vOS
2vO|}¶S bS¯¶½)®vO|Oº © v¶¯®¯¶b| oo~}vGor2vO|}vEtEvEk|²¶}r¬ ²³ª~22¯®½E~¦o¶St|,ort~¦'~ovG°!t~}}½)2¯½~
ovE¯®vE¹¦~t)v°±Sor2vc2vO|}¶SG°4vOu¼KvO22vOG|}k| ovEu'|EÁ}rtvakvO2¯®¦CuvOS°4~3|«tr2ott|.2vO|}¶SG¦¹vO
~GÂcÃÅ~ortÄovOo2ov~t9¦¹SvE!~'|}ÆÇE~¯®¯®vO9ÃS|}vE¯®q®uv)ÆÇq4o®vO}v]:ortÄovOo2ov ;^`_`_ a < E0@º
qrtv:½kvO~°±¯®¯¶¦²vO®'}rtvO|}vcvEk~u2¯¶v]|.½|.o3~¼t| oo~S³~P²~P°±ou or2va|}tr2o2St|.|}bv])CbE~}®t|
or2v)St| oo~¶C|4~uS2cvO¹vOS|4°KkB_vEovEC |}®t~¯®|-k2v}c}rtv|}tr2o2St|b~~k®u~b0¾P}r2vO¾
o:u'~}r2v tt)St| oo~¶tvO kv]|«®®C}~:kB_vEovEC-~or2¶}v]o2}v³rt~~)}vEoUTEvO¼,~!t¦¹vE¯C|«vE-°
Et|«}~®Co|³~u2vE¹vOCo|OºLbÇk®2|}t¾²v:ub| u~´va|«2ovort~¦]¾C²rtvE²v:ovEu'~'}r2vakvO|}®¾
or2v!®C}vEbkvO «¼bvOrt~P¹¶S2 °K}rtv:|«k|«}vOu¿½|Uov)o~¶tvO0º q43k|«,²v®So}kkb)v!~°±S}u'~¯t2o¶SH°
/$ 0mË .KÉqEÉ 3}~t|«°±ou'~¦}®4ºaqr2v)St|«}~®S|!Sª)Sok®t~}®Ø~uS22ok)v]|}|}vO|c~ov
O~ko2ovOؼÅt|}®2}r2v o~C| ®Øor2v'ÃukkvE¯.~t<}r2vH}~b| °±S}u'~¦o¶St|:~}vHrt~tk¯®vOز¶}r
uS}2rt®|}u'|~u23o~'|«vEo|Oº
qr2vt~bvO®|aoS~2UTEvOÅ~S|c°±¯®¯¶¦²!|OºvO)}®¸G½|kvE¹S}v]Åoor2vu~}r2vOu'~¦}½E~¯UkvCttÄo¶S
°!r2v)ovEoSvE2vOt||}k| ovEu'|Oº bÇZv]}®ZŲ³v°±ou'~¯®TOv'}r2v)St)vOk3°:|«vOu~C}½E|t}v]|«vO}¹®2
~tGEo}v]«Æf¼CÆfEt|«}oto¶SH2vE2¯®¦uHvOCOºU:|~¼t~S|«½!vE2~u2¯®v¾²³va~22}v]|}|.}r2vkvEt¯¶¦uvEC³°
|}tr2o2St|42vO|}¶St|4¦¹SvE Â:Ã~r2¶}vO)}2ovO|Oº bÇvO)}®c²³v)Su2¯¶vOuvEC2ovE¹®t|²o´ EJ
¼H2o¦¹C½k®22vE²èovO|}2¯¶o|.SG|«vOu'~C}½2ovO|}vEo¹P~}®3°± ^`__Za kvE2¯®¦uvECOº bÇGt~S|}|}¶tt¾²v:~¯½|}
v]| ~¼2¯®½|«rG~,¯®®2´3¼Kv) ²vEvO'2kvEt¯¶¦uvEC²¶}r'or2v ^`_`_ a t}}k)S¯t~tHor2v:Kt2¯®~³Ã~ubS« |
¯®S®O~¯0)¯®k´k|°±!k½| o}®¼2kovO9|}|«}vOu'|EºsR-¶b~¯®¯¶S¾k¶Øv]}® A3²v2o~P² |«SuHvaKvE|«KvO)}®¹vO|Oº
& H'0-! " & --! "
bÇ }rt®|Ø|}vO)}®¾²v¸¼22®¯® or2v ÃvOv¸~t k~2S¶¦¹¦~22¶Æc¶tEvEC}vO¯¶¯® ;mÃ-< }q-~SvOÆ ®t~¯
ߨ2vE¯ 0@º R2SovO~S|«St|'ort~¦²¶¯®¯c¼Kv¸)¯®vO~¶·}r2v |«v]ÀC2vE¯@¾!²vª|}¯¶®rC}¯® kvE¹½~¦ovذ±ou}r2v
S}®®t~¯_Ã-ukkvE¯@º
kCu3¼bS¯! 2vE2}vO|:}rtvH|}v)a°.KS|}Äo¶¹Sv®SovESvE|Eº#"%$&(' kvE2}v]|!or2vH|}v)a°~¯¶¯-u'~t|crt~P¹¶t
" ~|:ku'~®¾t~t²r2S|}vo~2v½|!)SCo~®2v]®)'Gº:¯®|}t¾tİ*+"-,/.021~t3*4',/.651~ovt~}}½~¯
So2vE|E¾k~Hu'~87)9:";$&%' ®|!O~¯®¯¶v]& _Ê ` Ë)Éqq İ
<>= , =@? 9A"CB = . 0D=>?FE GIH7*=>?1J 5 7*= 1LK ; wJ<
Û Stk¶}® ;«wJ<,vEk2}v]|}|}vO|,}rt~H~Å2Stkv])ovO~|}®2Åu'~ E~223®C¹SvE}kvE|Oº G!¦²vE¹vOO¾ÄE~
~S2ovEu¦¹v|«SuvaSo2vE|Eº qrt|E¾kttkv])ovO~S|«®2H®|²vO~´vEort~¶b)ovO~|}®2tº
7M1M1
P â [ 4 5m£ 5æ 4 ¢
© v!~|o|}2uv~3ttkvEo¯®C®2t~«o®~¯¶¯®kvO}v]|}v) ° k²v!kvE2}v¼ .¬}r2vt~«o®~¯kkkvEUS
G¾b~b²v²}¶}v8J
? 8.
?
~t
?
º³ Ë!¶Ê]Ë=½|!~2Stkv])ovO~|}®23u'~)98 $&Gº
c|}|}2uv,~2tkvO}¯®¶t|}v)è°¹¦~o½~¼2¯®vO|O¾k²ÄorÅku'~®ÅºsR2 Ct2¶}vS¾t~?')(*mÊkÉ
S|«®u2¯¶¼bvOrt~P¹¶S2]¾C½|!~vO¯¶vOuHvOCOÁ
9 $&% $&(* 1 , ;N><
uv]~2®2Gort~¦]¾K°±avO~r-9G¾_}r2v_ÆNor<kEE2}ovEb)v° ®Ø¼KvErt~P¹®2
rt~S|!~! 9 ~b
¹¦~¯¶2v
=
9"ź?R2S#<~¹P~}½~¼t¯¶vS¾_}r2vu'~
*$ 1 9 $& *%&' 1a½|,E~¯¶¯®vOª~& $!¶ÌQRt
~
¼KvErb~P¹C®tO¾k~h 0³°
½|~o22¯®v *$>,( ,( , =
19): *+ |}tr}rt~
*%1/*$ 1
*% , = 1-,
ort|a²³vE~<ovES~o9¼KvErb~P¹C®to|a~|a|«vEo|a°³vE¹vOCo|Oº
©
vovOÀC2®}v}rt~O¾0°±Scv]~r' 9"¾0or2v+.]|
t} vOo¶S<°.}r2v'u'~
*$ 1 ;mÄ,½|,~u'~ $&/ <c®|ttkv])ovO~S|«®2tº3qrCb|c¶½|,~E¯¶k´_¾0²³v
O~¯®¯0Äor2vË!¶ÊOË=Ê Í0
Ì
Z? ®|!~}o®2¯¶v21
*3,4 ,-5I1¾k²r2vO}v2¿®|~CttÄov|«vE°¹¦~o½~¼2¯®vO|O¾6¿½|~3o~
|}v)]¾2~t75h~H|}v)!°8,Æ@¼KvErt~P¹®2|OºLbf°9;:
6<
>=@?BA
'¾2}r2v .0¦É$!!! ËÊ.tÊlmÊ$ <°-|}|«}vOu'|C18:
~t1D<½|¼G®SovE|«v]o¶SÁ
19:EF1G<
>=@?BA
*F:9H;<,I ,-5C:8J5K< 1 ,²rtvEov
5C:9J5K<
>=@?BAML N
N
DOPRQ 975KS ,(T
. ,VU W,
;m@<
~t
XOY
kvE2}v]|}rtvovO|«}o®)}®Å°
o~G|}2¼t|}v)Z °.¹¦~o½~¼2¯®vO|Oº!qr2v3|}v)[ ° ~S|cE~ؼbv
~SP t|«}v]o'~EE2C°±!2AB_vEovEC!)¯½~|o|«v]|° |«k|«}vEu'|Oº
7M17 ; ã 4
§W4¤ æ 4 æ ¢X; ã ¢O£ â ¢
q<ovEt}v]|«vOSK _Ë kÉ}Ê _Ê,²¶}rZ2Hu2vE¯@¾Uo~´vG°±S\ ~Åoo~¯¶¯®¸kvEovOà|}v)]¾~b
ovOÀC2®ov}rt~~¯¶¯_)¯®k´|³~ov @ÉmË!" _Ë)Éqq CÌqr2v:o~¶bkv)|}v)0 oS~2UTEvO|.¼bvOrt~P¹¶S2o|.¶C}
|}tO)vO|o|}¶¹SvovO~)}®t|O¾.~|3v)k2¯½~®2v] 2vEC]º Û ~¯¶¯ÉËmÊ h~ªu~k¶u'~¯|}v)'°:vO¹vOS|°
²¶}r
½kvOSo®O~¯0º®t)v)¯®k´|³~ov:|«}o®)}¯®'¶tE}v]~|}¶tt¾t ²vE¹SvECo|³°0or2v|}~uHvc}v]~)}®GE~Grt~P¹Sv
or2v|o~uv'¹¦~o®~¼2¯®vºyvOS~o ~żKvErt~P¹®2~S|~Å|«v]ÀC2vEtEv'°¯®¼t~¯.ovO~)}®t|OÁ
: , < ,R]@]R]¶¾
²¶}r9~C|C : ,( < ,@]@]R]@9^'ºqrCb|_2o¦¹C½kv]|!~¯®¼t~¯N¾t¯¶S½E~¯}®uHv¼t~|}®|Oº ~«o®E2¯½~!®t|«o~b)vO|
°±S_)oovO|}bSt'o2AB_vEovEC!¹¶vO²!|° |«tr2ott||}|«}vOu'|EÁ
`
q~´¶2
uvO~b|U}rb~¦²v:~|o|}2uv:|«Suv!¼t~|}½¯¶S½E~¯b)¯®´ ;or2v:½kvOSoÄ Hu'~¾S°±ou
} <¾C²r2½r®|US¯¶S¼t~¯2}~¯®¯tEt|}®2vEovO|«k|«}vOu|O¾S~t~¯®¯t)¯®k´k|.~ov|«2¼2ÆfE¯¶k´k| °_}rt®|
¼t~|}½cS2vº.qrt®|½|!~HkukkvO¯_°±:E¯¶C|«v]|}|«}vOu'|Eº
`
!¦²,¾k~´Svc°±S_~H}~¯®¯¶kvEovOkvEb|«v|}v)«xèvSºbº¶¾a
cb
¾kor2v|}v)!° ovO~¯_2u3¼bvOo|O¾2
d ¾S}r2va|«vE°~¦o¶St~¯tCtu¼KvE|Eº qr2vE4¾°±S³~H®¹vOE¯¶k´¾S}rtvEov!v)k½| |~t}rtvE³E¯¶k´
e ²r2S|}vc~tvart~|vOuH2 G¶CovE|«v]}®²¶}r}r2v,~2Svc°84º.qr2½|uHkkvO¯®|or2v°m~)}rt~O¾
°±~¸®¹vO¬|«k|«}vOu¾ or2vEovvEk®|«o|H~2}r2vOH|}k| ovEu}rb~¦3½|H²³S}´®2Ųr2®¯¶v}rtv°±S}uvE
®|H|}¯¶vOvE2®2;,.}r2½|½|3~<|«2¶o~¼2¯®vukkvE¯°±HKvE |}|«}vOu'|Eº bÇ °m~]¾U~kv]ÀSb~¦}vuHkkvO¯®|°±
KvE¸|«k|«}vOu|~}v| ok«ovEo¶t®¹¦~o®~S|«k|«}vOu|²vkvCttvHtv)Oº
Û
~¯®¯Vl?Ë*$ G~
¼2 vOo¶¹Sv~b|«}o½}¯®¶tE}v]~|}¶t3°±tto¶S B $&'¾K~tÅ2vE2}v,¼èor2v|}v):° ~¯¶¯
}®uvGrt~2SvO|¦¹SvE#GºGqr2vO¸~9|}tr2o2St|c|}k| ovEu 1
* ,I ,V5I1c½|E~¯¶¯®vO l EÉ
0¦ÉM$ 0HAB ¶H½|H¶¹¦~o®~C2tkvOH}®uHv9rt~2vS¾UNºvº®¾ °±vE¹SvEoª¼KvErb~P¹C®t
9 5~b
vE¹SvEo'}®uvrt~2Sv 9 ¾2}r2vO
95hr2S¯®2|O¾k²r2vO}v
*%@,I ,( , = 1 9
=R?BA
*$>,( , *$ 1 ,= 19
] ;± <
ÞU2~u2¯®vO|4°k| ok«ovEo¶2®¹¦~o®~S|}k| ovEu'|~ov-}r2v³| ~¯®¯®~¼2¯¶vUt}k)v]|}|}vO|K°¯½~¦ovEtECÆ@®t|}vEt|}Äo¶¹Sv
kvO|}® w]0@¾t²r2vEov
¸º
7M1UI 8 5 â ç>; ã 4
§W4¤ æ 4 æ -¢,; ã ¢O£ â ¢
q®uvO|«trt}S2t|³|«k|«}vOu|~}v|«trt}S2t|³|«k|«}vOu|®²rt®r2r|}½E~¯Ko¶uv®|~P¹¦~®¯½~¼2¯®v¾®
~S2k¶}®àoØor2vSokvO}®2Űc|«bE)v]|}|}®¹v'ovO~)}®t|Oº :}v}rt~HvO¹vOS|¼KvE¯®2S¶tÅ}<}r2v9|}~uv
ovO~So¶S<u'~P<kEE2~¦kB_vEovEC2rk|«½E~¯U¶t|«o~Co|OºQR2}r2½|E~S|«v²vHo~´Sv
! ¾
²rtvEov ®tkvEkvO|or2vÅ}v]~)}®t|O¾~tè½|}r2vÅtrCk|}®O~¯o¶uvؼt~S|«½| ;±vSºbº¶¾C
b
°±
ovO~¯ÄÆ@}®uvJ<)º
7M16
¢ ã 4
§W¤ æ 4 æ -¢,; ã ¢E£ â ¬¢
qrtv,2o¶S° ~S|«trt}S2®EÄ '½|¹¦~S2vº³!|}k| ovEu$ort~¦:½|2:|«trt}S2t|E2¯½¼bvO~¯®¯¶v]
~S|«trt}S2t|O¾.¼22²³vŰ}vOµ²~C'oà}v]| o}½|}uvE²rb~¦}r2½|Gt}®µo E~2}2ov9t~}}½)2¯½~
rb~~ovEo®|«}½E|°.~uHkkvO¯Nº bÇ9or2½|:t~bvOO¾b²³vo~´Sv~'¹vO}¯¶®¼KvE~¯4®C}vO}2ov)~¦o¶S°±S:~Ø~S|«kÆ
rt}S2t|c|«k|«}vOuº bf°³²v3®C}vEo2ov),~'~9|«vE~S|a~)St|«}~®Sa<}r2v')Sok®t~}®Ø°³kBKvO}vOS
|}®t~¯®| °_~,|}k| ovEu¿~tH}rtv!¶CovEvO9 9A ~| or2v!¼t~S|«½)St| oo~¶CU°K}rtv:|«v]ÀC2vEtEv°_vE¹SvECo|U°
or2v¼bvOrt~P¹¶S24°t~!¹¦~o®~¼2¯®v¾]}r2vOor2v³uC| «ECSo2¶t~}®,2b)b| oo~¶2v] |«k|«}vOu¾Por2vS2v²¶}r
uC| !kvOovEvO|³°°±}vOvOkSu ®ovEou|°-r2S®Evc°-ECSo2¶t~}®Guv]rt~2½|}u¾2E2¯½¼bv,)St|}®kvO}v]
~'®2vO~¯_~|}tr2o2St|U|}|«}vOu9º-qr2vO~~|}Cbr2}S2b|U|«k|«}vEu)S}ovO|}Kt2|U}~uHkkvO¯b²rtvEov
or2vo~¸|}v)'kvO|32®¹v~à¶2°±ou~}® S or2v~¼t|}¯®k}v}vO¯®~}®¹vGSo2vEo¶2ª°:vO¹vOS|Eº
bǵuov°±S}u'~¯²~P¾o~´v
]C¾U}rtv9}o¶¹½~¯|«vEG)b|«½| o¶tª°a~¸|«®2S¯¶vvE¯®vEuvEC]ºèqrtvE¾
¼KvErb~P¹C®to|½kvEC}¶°±²¶}r9vO¯¶vOuHvOCo|
9 $& $& غ
7M1@ 4L4 54 : â e¥ hJâ
qrt®|c|«®u2¯¶v3v)2~u2¯®v²®¯¶¯¼bv3t|}vO9or2}S2rtkor2vovO|«:°Uor2vt~bvO!o®¯¶¯®t|«}~¦}v2c}v]|«2¯¶o|
~tª}r2vO¶3¶u2¯®½E~¦o¶St|OºÃvE1~t ¼Kv' ²³Ø|}tr2o2St||«k|«}vOu|¶¹S¯¶¹®2}r2v|}~uHvG|}v)
°.¹¦~o®~¼2¯¶v]|EÁa°U Kv¼K¯®vO~4¾K~t = °U bv3¶C}vOvOOºÞ~Sr<|}|«}vOu KS|o|}vO|o|«v]|!t¯¶9~|}¶t¯®v
¼KvErb~P¹C®tO¾C|«r2¦²'or2vco®rC³rt~tG|}®2vc°X1 Ba]R]@]k~b Ba]@]R]¶¾ovO|}bv]}®¹vO¯¶SºÞ³~rG¼KvErt~P¹®2
Et|}½| |!°~|}vOÀC2vEb)v°|«bE)v]|}|}®¹vovO~S}®b|E¾_|«vOt~~¦ovO9¼9¹vO«o®O~¯4¼b~|EºaÞ.¹vOCo|a|«¶«o¶2®
or2v|o~uv'ovO~)}®¸E~à¼bv|}vEvOk!" ÌØÞ~ràovO~So¶S Et|}®|«o|°!~à~|o|}¶S2uvEC°¹¦~¯®2vO|
oG~G|}2¼t|}v)!° or2v¹¦~o®~¼2¯®vO|R,t~¼2¯½~2´¶t2®O~¦}v]|or2v~¼b|«vOt)v,°or2v)St|}®kvO}v]¹P~}½~¼t¯¶v,®9}r2v
Et|}½kvEovO}v]~o¶Sº
Á ! 7 ! 7 ! 7 ºEºOº Á ! 7 ! 7 ! 7 ºOºEº
»c2vŰcor2v<ÀC2v]| o¶St|'~22}v]|}|}vOZ¶èor2½|'t~KvE®|'rt¦² } 2vE2¯®¦Z~¸|}Cbr2}S2b|H2vO|}¶S
S ~Z¯¶v]|}|9Et|«}~®2vO·~r2ÄovO)}2ovº qr2v vO2vE~¯|«}~¦}vOè²v<°±S¯¶¯®¦² ®|oZvO¯¶®u¶b~¦}v Ct|
or2vG)St|«}~®S|a¶C}okktEvO ¼Ø}rtvG|«tr2ott|~|o|}2uk}®¸~tªor2vE }Åu'~<or2vGovO|}2¯Äo¶t
~S|«trt}S2t|0|}k| ovEu 3~¯¶v]|}|-)St|«}~®2vO,~or2¶}v]o2}v.}rt~u'~Pc~tvU°±ou~|}tr2o2St|K}
ovE¯½~¦kv]عvOo|}®t|c°.o¶uv]ÆNo}®SvEovOª~r2ÄovO)}2ovO|Oºqr2v KËÉ}Ê$ 0mÊ <°~|}Cbr2}S2b|
|}k| ovEu ¯®®´v71 )St|«½|«o|® ;«wJ<HovEu¦¹¶t<or2v<|}Cbr2}S2UTO~¦o¶S ¼t~}o¶vOo||}vEt~o~}®2 }r2v
|}tO)vO|o|}¶¹SvG}v]~)}®t|O¾U~t0¾.}r2vO¾ ;N@<Eu2ovO|o|«®29or2v|}vOÀC2vOt)v°:¹¦~¯¶2v]|°±S3v]~r ¹¦~}½~¼2¯®v¾
®tk®¹®2t~¯®¯¶Sº.qr2½|C®vE¯½2|OÁ
1
:B
Á ! 7 ! 7 ! 7 ºEºOº
= Á . . . º º º
²rtvEov }r2v.|}2¼t|o)o¶2a}vE°±vE|_}!~S|«trt}SCSºqr2vUovO~2vE0u'~P!or2¶t´:ort~¦vO¹vEC|0rt~P¹¶t½kvOSo®O~¯
®tkvE°±SckB_vEovEC:¹¦~o®~¼2¯®vO|!~}v~¯¶®tvO0¾b¼2k:or2½|!½|!2:}rtvE~S|«vSº bÇ9°m~]¾K~S|or2v~¼b|«vOt)v°
¹SvE}}½E~¯2¼t~|.®'or2vck½~So~u¿|}2SvO|«o|O¾or2vEov!½| _Ê-$!" 0? ~¦³~¯¶¯K¼Kv) ²vEvE'vO¹vOS|~S|}|}k)½~¦}v]
²¶}rÅkB_vEovEC¹P~}½~¼t¯¶v]|Eº
yvOS~ok®2Åkv]|«tr2otT]~¦}®4¾0}r2vG°±¯®¯¶¦²®2Ø)SuuHvOCo|~}v®àkvE]º !}v'ort~¦\1
¼tk01 º !vEO¾C}r2v|}Cbr2}S2b|.|«k|«}vOu kvCt2v]'¼
1 H ¾C}r2vc2bkv)ovEouH®2½| o®
rt½)v9¼bvE ²³vOvE 1 ~t ¾KS|o|«v]|}|}vO|H ²¸¼bvOrt~P¹¶S2|Eº<G:¦²³vO¹vOO¾³Ä|GkvO|}tr2o2UTO~}®
v]ÀCt~¯½|C1 ¾t~bKS|o|«v]|}|}vO|S2¯¶2v,¼KvErt~P¹®2]º
:¦²,¾.²³vt|}vor2vt}SbC|«v] °±o~uHvO²³S}´ª}¸kvO}®¹v'°±S}u'~¯³ukkvE¯½|3°± 1I,¾³~t 1 ºOR2
or2v|}tr2o2St||}|«}vOu'| 1Ù~t'¾-²v'~´v
oضbkv)¸}rtv|«bE)v]|}|}®¹v'ovO~)}®t|Oº1
KS|o|}vO|o|«v]|~|}¶t¯®va¼KvErb~P¹C®t ;m2ov}r2v~¼t|}vEtEva°
=
~o~ U )<Á
* 1 *3U . 1
*3U .,!1 , * 1/*U 1
*3U , 7 1
*= 1/*$ 1
*3U .,@. 1
;lA><
Rt ¾k²vrt~P¹v ;m2ovcor2vkBKvO}vOt)v0<Á
* 1 *3U . 1
*3U . ,!1 , * 1/*U 1
*U , 7 1
*= 1/*$ 1
*U ,@. 1
;MD@<
Rtor2vØ~|}tr2o2St|3|}k| ovEu'|1
¾³²vo~´Sv
]S¾³}r2v9o}®¹®~¯!|«vE²¶}r ~à|}¶t¯®v
vO¯¶vOuvECOºhqr2vÅovO~S|«S¬½|}rb~¦G²vØk¸2G2vOvOè~¬~S2k¶}®t~¯}®uvØ| ~u2®2à¶2°±ou~}®º
qrt|O¾a1
KS|o|}vO|o|~'|}®2¯®v¼bvOrt~P¹¶S2OÁ
* 1 *3U . 1 ! , * 1/*U 1
7>,!~b
*= 1 *% 1 . ] ;E<
7M1 P,5N¢O§ ¢]¢ 5æ 4
2oS~So¶¹SvovO~2vE²³S2¯½Ø®uHuv]k®~}vO¯¶<E}¶}½)UTEvHor2v'kvCttÄo¶S ;@><a°³¼bvOrt~P¹¶S2o|Oº»ct2vC2Æ
tÄo¶SØt|}vO| ²G®tkvE®2Guv]rt~2½|}u|O¾Kt~uvE¯®A ¸¾tokvO!vE¹SvECo|:¶Øv]~rÅ®tk®¹®kb~¯ |«®t~¯N¾
~t'¾}kvO ;±}®uv| ~uD<³vE¹SvECo|S¯¶S¼t~¯®¯¶'~S)oS|o||}®t~¯K¼Ktt2~o®vO|Oº.»:° )S2o|}v¾k|}¶b)va}r2v
vO¹vOS|!°U~|«®t~¯~}voo~¯¶¯®kvEovO9¼}r2vO¶ Ço¶uv3|«o~ut| ¾2or2vE®a¯¶kE~¯4®tkvEàovO|}2¯¶o|!ov)Æ
22t2~S]ºUqr2v!ovOk2b2~tE3°0}r2vc¶bkv)k®2½|t~«o®E2¯½~o¯¶3¹C½|}¶¼2¯®v!®;lA@<.~t ;MD <ºUqr2v:S}®®t~¯
Ã- ukkvE¯ kvO|:2c2vEv]}r2½|:ovO22t2~t)}GovEt}v]|«vOSor2v|}k| ovEu°.®SovEovO|«Oºqr2v3}v]~|}
°±S:®C}o2t)®2'or2v3ovO22t2~t)®|:}vO¯®~}v]9}'or2vkAB_vEovECc|}vEu'~So®O|!°U}r2v3 ²³kvE|EÁ³2v
½|,®C}o¶t|}½3® }r2v¹vEoØ2}® °vE¹SvECo|°~Å|}¶St~¯@¾0or2vGor2vE,½|,ovE¯½~¦ovO<}9}rtvG)b| oo~¶Co|
SvO¹vECkvO}®2322va}H}r2v|}tr2o2St|~|o|«2uko¶SºsB:v])S22¯®¶23}rtv ²³HkvE|~¯®¯¶¦²!|t|
oovEt}v]|«vOS,)¯®vO~2¯®9}r2v'kv]|«tr2otT]~¦}®ÅSbvOo~}® ~tØ}r2v'kvO2¯¶¦uvEC uovvO2vE~¯
~ortÄovOo2ovO|Oº-kvEo~¶¯®vO9k½|}Et|o|«®®|t}¦¹½kvO¶Å!tbvOtk¶º
bÇ ~2k¶}®4¾bor2½|c¹SvE|«®Å°.}rtvHÃ-¿ukkvO¯-u'~or2v]|:vEk~So¯¶}rtv3®k°±ou'~¯ kvO|o)o®k}®Ø°
or2v ^`_`_ a 2o}kE¯_®¹vO®9kvOo¶S9tº®wº
6D
c|}|}2uvª~ °±2t)}®t~¯a|}k| ovEu*|«KvOECKE~¦o¶Sht|}¶t¬~¬|}tr2o2St|G~t2}C~r¾°±S|}2¼t|}vOÀC2vOS
2vE2¯®¦uHvOC3¦¹vO3~ k½| o}®¼2kovO¬~S|«trt}S2t|3~r2¶}vO)}2ov;N|«tr2ott|H~tZ~|}tr2o2St|
~}vGEt|}½kvEovOª¶¸or2v|}vEt|}vG°|}2¼t|}vO)}®¬kº®wJ<)º
©
rtvEà²vGkvE2¯®¦ª}r2v2vO|}¶S S ~ÅkBKvO}vOS
~ortÄovOo2ov¾²v<ub| 9u'~´vª|«2ovØort~¦}rtvªS}®®t~¯c¶CovEC°}r2v¸kv]|«®2vO½|u'~¶Co~¶tvO0º
qrt®|H| ovEZ®|32 }o¶¹½~¯¼bv]E~b|«v}r2v¶2°±ou~}® S ²rt~3½|HEt|}½kvEovOàEo}v]¼KvErt~P¹®2
½|,E~k}t}v]Ø®ªor2v'|«trt}S2t|a|}bv])CbE~}®t|aort~¦,²vH²~C}9ovE¯½~¦Ø®<or2v/Ct| 2¯½~Evº © v
®C}okkt)vHor2v'2o¶S¸°|}vEu'~So®)Æ@t}v]|«vO}¹®2Goo~t| °±S}u'~}®ØoÅ®2vEC}¶°±<2ovOE®|}vE¯®Ø²rt~®|,~
Eo}v]kvEt¯¶¦uvECOº © v,2ovO|}vEC}r2v,½kvO~H²¶}r9t}2t2¶tHvE2~u2¯®vÁ
4 4 54 : â e¥ hJâ § æ 4
£¶ç yvEC~k¶t9|}vEu'~So®O|a2}v]|«vO}¹®29kvE2¯®¦uvECO¾4}r2v°±S¯¶¯®¦²¶t
EuuvECo|O~9¼Kv| ~¦}v]2!o22t¶2vEk~u2¯¶vSº.qr2v|}Cbr2}S2b|³b~~¯®¯¶vO¯)uKS|}Äo¶S°
1¿~t¾bkvCttvO¼G¶CovE|«v]}®4Á81 E
>=@?BA
1 ¾t®|vOuH2 ºqr2vovO~S|«S½|}rt~1¿~t
2®|o~S}vOvª²r2vEovotk~¼t|}vEtEvO|:°±a}r2v¹¦~o½~¼2¯®v = ºH»cØor2v3}r2vOrt~t¾|«®t)v 1
0¾
or2vE 1E
>=@?BA
1"
1
º,qrCb|E¾K°±c}rtv3t~¶ *1I, 1)¾kvO|}tr2o2UTO~}®
2Cv]|2!t}v]|«vO}¹Sv!}rtv|«vOu~C}½E|°-t~~¯®¯®vE¯)SubC|«¶}®¾k®Å~'ovO~|}b~¼2¯®va|}vEb|«vSº
G:¦²¸}cuHkkvO¯C}rt~ |}vEu'~Co®O|½|t}v]|«vO}¹SvO²r2vO}vO2¯½~)®2:}r2v®2vO~¯|}Cbr2}S2b|0¼2oS~tE~|«4¼
or2v~S}b~¯S~S|«trt}S2t|0Euut2®O~¦o¶S?bÇor2v³O~|}vU°2kvEt¯¶¦uvEC4t|}®2}rtv
^`_`_ a
Æf2o}kE¯@¾
²v°m~Ev}r2v!|o~uv½|}|}2v]|E¾¼tk²¶}r}rtvO)2oovEtEv°bo¶uv:~S|U~'~tkÄo¶St~¯b)uK2vOC.°Ko~C|Eº
bǪ°m~)O¾~ªvO¯¶vOS~C|«S¯¶ko¶S<²~|a2oKS|}vO<¼CØÃ4vÂatvEo2®~t<q-~¯®2®<°±Scor2vH°±ouvE,Â:Ã
O~|}v @º © v,E~S| or2vE®!~2t}C~r®}r2v°±~uvE²o´'°-o~SvO|}k| ovEu'|~b²v,vO2vE~¯®TOvc¶Oº
æ ¤J WL5N¢ ¢
Rt ,I
?
²ào~¬|«vEo|O¾:E~¯¶¯ÊÉ. ~¬u'~ B $& ?
²rt®rh½|Gttkv])ovO~S|«®2 ~b
|}2N vO)}®¹v]ºsRt B $& ?
~uo2r2½|}u¾S~t
9 $& $&(* 2 1U~a¼KvErt~P¹®2]¾ovE2¯½~E¶t
¼ *$ 1®
kvCt2v]|!~H2vE² ¼bvOrt~P¹¶S2rt~P¹¶t\ ? ~|o~'|«vEO¾2²v,kvE2}v,¶!¼
, ¼
] ;MF@<
vO«°±S}u®2or2½|°±vO¹vEo'¼KvErt~P¹®2°-~3o~|}k| ovEu 1 ¶vO¯®t|}r2v~'|«k|«}vOu
1 ] ;m@<
Rt_;: >&
6<a ²³uo2r2½|}u|O¾2kvCt2vÁ
:
< =@?BA
*$ : ,( < 1 : *$ : 1 < *$ < 1 ] ;«wO@<
ÙO~|}v°a®C}vEovO|«®|6S
?
S ,IT
. ,VU ,U~b or2v ?
S
~ov9kAB_vEovEC]ºèqrtvE;:
6<
½kvOSoCbvO|²¶}r}r2v,t}kkt) ?
:
?
< º
P â ¢ ã 4
§W4¤ æ 4 5 ¥k£5 æ
4
Rtv)2~uHt¯¶vS¾}r2vKZ KËÉoÊ 0$lmÊ$ ª°-|}Cbr2}S2b|³|}k| ovEu'|®|O~kÆ
o2ovO༪}r2vuHS}tr2®|}u B8 $& ]S¾ ²r2½r vOo~S|«v]|~¯®¯S¯¶S¼t~¯}®uH®2ª¶k°±S}u'~}® ;m|}vEv
Þ³ÀSb~¦}®b|C;lAk¾D@<)¾2~t+; E< <)º
= â £ â ¤ æ : â 4
âæ -¢c¥k¤¦¥ â N3æ hJ æ ¢ 5m£ 5æ 4
bÇor2½||}2¼t|}vOo¶S²³v!kvCt2vor2vcEuKS|}Äo¶SH°b ²o~SvO|«k|«}vOu|1DS
* S ,I6S ,V5KS1 ,(T
.,4Uk¾
²rtvE+;:\
6<Sº qrt®|kvCt2¶}®®|2o¦¹®kv]'®G ²3|«o~SvO|Oº Rt}rtvCt|«|«o~v¾²vc~S|}|}2uv:ort~¦
;:
6<ºSRt
S.~H¼bvOrt~P¹¶S2°91DS}¾t|o~P}rt~ * : , < 1½|!~X 0 (!,t~¶]¾k²oÄ}}vE
:
< B : OP
P < OP
P ]
Rt
:
<¾or2v/ 0Ëq$lmÊ$ 9°
:c~t
<a®|or2v¼bvOrt~P¹¶S2
:
<art~P¹®2\F:GH! <~||«vE°
¹¦~}½~¼2¯®vO|O¾k~t|}tr}rt~OÁ
* :
< 1 OPRQ
S,IT
. ,4Ua]
:¦²,¾k}vE}2o}H}r2vO~|}v;:
6<S¾2~t9~S|}|}2uva ²³Huo2r2½|«u'|C;: @&
6<º © }¶}vSÁ
: < B
: 6:
< < ] ;«wwJ<
Rt * : , < 1~Ht~®!|}~}½| °±®2 ; wSwJ<¾22vCt2v
: < ;«w]><
~S|¼KvE®2}r2v|«vE°vE¹SvECo| *$>,( , *$ : ,( < 1 , = 1|«br'}rt~ : *% : 1 < *% < 1 =R?BA
~t-*%@,I ,( , = 1®|
~vO¹vOS°
: : < < º © v~ova2¦²·ovO~Sk}'kvCt2va}r2v 0)ÉoÊ `ÊËÊ _ËmÊ <°95 :
~t5K<¼C_Á
5C:
J 5K<
>=@?BA :
<
:
< ;«wO@<
R-®t~¯®¯®¾}rtvE*EÉ}ÊqZ Ê .0¦É$!!! ËÊ.tÊlmÊ$ <°81 : ~t1 < ®|!2vCt2v]¼C_Á
18:
E 1G<
* :9H <,a;:
6< ,5C:
5K<1F] ;«wE <
©
v|}¶u2¯®G²oÄov!
E ®t|«}v]~°"
E
²rtvE < ½|}rtv,®kvOC}¶ º