HAL Id: inria-00074503
https://hal.inria.fr/inria-00074503
Submitted on 24 May 2006
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or
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
An optimal algo-tech-cuit for the knapsack problem
Rumen Andonov, Sanjay Rajopadhye
To cite this version:
Rumen Andonov, Sanjay Rajopadhye. An optimal algo-tech-cuit for the knapsack problem. [Research Report] RR-2169, INRIA. 1994. �inria-00074503�
a p p o r t
d e r e c h e r c h e
INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE
An Optimal Algo-Tech-Cuit for the Knapsack Problem
Rumen Andonov, Sanjay Rajopadhye
N˚ 2169
Janvier 1994
PROGRAMME 1
Architectures parall`eles, bases de donn´ees, r´eseaux et syst`emes distribu´es
01'/234
57698;:=<?>@<BA9C</CED*FHGBIKJ<MLJENO5@JLCP/JMAKQRN :/FSF
TVUXWZY[U]\_^`^baced fgUihkjElnmoahpmoqEUXarKst\_Ui\_uvuxwa#uvayrSz={|\Zr}ayrg~=a~=W[Ea#ayrSzEUayr}a\qE
a#m rErmwa#^`ar9~=lrmoUoln{Eqar
TVUXWZa#m feT9
g\sEstWZUom~=aUoayhkjEaU]h]jEagH=cZd &\=Hlva#Uc#[_d [st\YZar
b SEZ& a*sEUXar}a#Hm\` W[Uo^7\uK~Ha#UolnZ\molnWZ\_|~@sEUoW&WW_¡hSWZUXUoahpmoEarXr¡W \brErmoW[uvlh*\UoUi\y
WZUmojEa*¢Ht\_s|ro\Zh]¢@sUoWZ{uva#^£zt\¤Ba#unuR¢HEW¤MzM¥eTK¦xhSWZ^`sEuva#mXaesEUXWZ{Euna#^£§e¨Bja~=a#sta#t~=athS7YZUi\_sEj
W_ mXjEa\_uvY[WZUXlvmoj^©lr WZm/hSWZ^`sEuva#mXa#uv¢HEW¤7r}mi\_mXlh#\uvuvªz&r}WmojEa~=a#UXlv[\_mXlvWZ`\_u«r}W4r}a#UX&ar9\ZrB\h#\Zra
r}mXqt~= W[UerErmoW[uvlhr=HmojEayr}lrK WZU mojEl«rhSu\[rorBW9sEUoW[YZUi\_^7rp§9¨BjEa*\UoU]\#bl«rBlvmir}a#u¬ lv^bstWZUXm]\=m rlvthSa
lvm4\Zh]jElva&argWZsmolv^\_u9sta#U} W[Uo^7\thSaWZ\®^bWH~Ha#u9^qth]j£¤Bay\_¢&a#Umoj|\_\@T9 fe¯ °±UXlvEYW_²T ³´µr
¤lvmXj\4¶tHa~7r}ln·#ae^ba^bWZUX*\_|~®WZuvbEay\_Uoayr}mEa#lnYZjH{tWZU lvHmoa#UihSWZEahSmolnWZtr]¸]§
¹a4r}jEW¤;jW_¤ºmojEa^ba#^bW[Uor}ln·#aW_9ay\Zh]j£T9³»h#\_{ta*h]jEW&ra#£rWmXjt\_m mojEaUoqEElvEYmoln^bael«r
^blnElv^lv·#a~®{H@ WZUX^qu\_mXlvEY\t~3r}W[uvHlvEY\@EW[3uvlnEa\U¼W[sEmoln^blv·y\_molnWZ£sEUXWZ{Euna#^£§½EWZUmojEl«rSzR¤/a
qtra¼mXjEaa#Hs¾ayhSmoa~bUXqEEElnEY*moln^bae\[r¡mXjEahSW&rm¡ qthSmolnWZ\_|~®\*UoaYZlrmoa#Uuna#&a#ut^bWH~=auW_-¿ÀRÁH]§
¨BjEa*WZUXlvY[lvt\u9\_UXU]\#@jt\[re\_lvHmoUXlh#\moam]\YZ¦ {t\Zra~hSWZHmoUXWZuK^bayhkjt\Elr^1¤jlh]j@lr~=lÃÂhSqEunmmoW
lv^`sEuva#^a#Hm#§t¹ar}jW_¤ÄjEW¤»mojlr9h#\_`{¾a Uoay~=qthSa~*moWm¤BWr}ln^bsEuva hpWZqEHmoa#Uir9\_t~b\e a#¤ÆÅ|lvsE¦ÅtWZs|rS§
Ç9W&aSÂhSlva=muvWª\Z~=lnEYlrb~=W[Ea¤lvmojÄ\3^qEuvmXlv¦ U]\moahSuvWHh]¢¤jElh]jÄ\#&WZl«~Ermoja£Ea#a~Æ W[U@rjt\Z~HW_¤
UoaYZlrmoa#UirS§
¨BjEaragUXar}qEunm]r9r}jW_¤»jW_¤lvm9lrKln^bstWZUomi\_HmKmoWqtra\_ssEUoW[sEUol«\_moa moW&W[ur/\_m~HlÃÈÉa#Uoa=mKuna#&a#u«rSz[\_t~
UoW[^Ê~=l¬ÈaUoa#Hm \_UXa\Zr W[Ue~=ayr}lvY[ElvY\_sEsEunlh#\molnWZr}stahSl¬¶Éh\_UXU]\#bsEUXWHhSarorWZUirS§
ËÍÌ*Î
ÏÑÐÒÓ
Î
Ï ÔEÕnÐÖ±×]Ø
Ù#ÚÛ_Û[ÜSÝ Þ ßoà9á#âKÞ ãßMä_Ý ßå[æ±ãçÜ#ÜpÝxàyèµåZé]Þ ßoà9êMßë±ßXé]Ýìæ±ãíEݱÜpîSÝxé]ïðVñpò]é]å[àKá#âKÞ ã_ßôóEë±ÛÝ èõÞtöêM÷Û_Ý ÜXøìßoæìÞtùM÷-ùú÷7û
ü
ùúÜ[ý#þpþSÿpû}ýH÷@Ûݱßõèµïgèõå[é]ݱâpßݱë èõÜpåôékëÉÛ_Ý ßë±ßå#Þ ßXàeé]ÞÞ ã_ß å#Þ±ßÝ å[ékÞ èõÜpåZé&çÜpånß}Ý ßå[æÑß-ÜSå ÷RÛÛõè¬æé]Þ±èµÜSå Ù#Û[ßoæìèªæ
÷ ݱÝxéoâeíEÝ Üæìßë±ë ÜSÝ ëXòtßåè¬æìßpòKæìÞpÿ_ý
é]åZà#ÜpåÜRèõÝ èõëxé_ýnÝ
ü
ÜSåµßoépßvÝ Üpï»çßå#Þ ß}Ý ÜtçÜpïgÛÚÞ ß}ÝôÙæÑèµß}å[æìß/ékå[àßoæ ã_åÜõÜpîSâò#Ù#ܪéòö¾ÚõîékÝ è¬é
Ýxé}øìÜpÛ[éSà#ã#âpß RèõÝ èõëìéýnÝ
ü
Û[ékÝ Þ è¬é!õâBë ÚÛ_Û[ÜSÝ Þ ßoàeá#âù Ù_ä#"KÝìé]å#ÞôùúÜ[ý$ í%& ')(*Sû
Unit´e de recherche INRIA Rennes
IRISA, Campus universitaire de Beaulieu, 35042 RENNES Cedex (France)
(b+
¥gW[qtrKsEUayr}a#HmoW[trKu\~Ba#UXlv[\_mXlvWZ* WZUX^ba#unuvaBamKu\esEUXa#qE&a ~´qEEar}WZunqEmolnWZ`r}r}mXWZuvl qagstWZqUBuva
sEUXWZ{Euxwa#^ba~=qro\[hS¦]w\¦ì~HW&rSztqE7sEUXWZ{Euxwa#^ba¥eT hSW[^bsEuna#m9{Elva#hSWZEHqM§Àa¼Y[U]\sEjEa*~Har~Ba#sta#E¦
~E\thSar-~=a hSa#m9\uvY[WZUolnmojE^`aBM´Xa#m]\=m st\Zr9rm]\_mXl&qEa&zZu«\ehSW[tr}mXUoqthSmXlvW[~´qE*Uar}ay\_q`r}r}moW[uvl qEa
stWZqUuvarX\ZhS¦iw\_¦x~=WªrhSW[tr}mXlvmoqaqEa~´Xa#mXqt~=a~=a`h#\[r²stW[qEUu\7r}H=mXjMwara~´õ\U]h]jElvmXahSmoqUoa&§ÉÀa
Uar}a\q£sEUoW[stW&rHa\_momXa#lvHm~=argsta#U WZUo^\_thSayrgWZsEmXlv^7\uvarmoW[qEmea#£UXar}mi\_HmemoUwarr}ln^bsEuva° qE
\EEa\q3~=asEUXWHhSarora#qEUir@a#ua^ba#Hm]\_lnUoare°xT9³¸ stW&rXrHa~\_HmqEEa*mi\_lnuvuva*^ a#^bWZlnUoag¶|=a*a#m~=ayr
hSW[EEa#HlvW[trBuvWHh\_uvayrk¸]§
¥gW[qtr^bWZHmoUXWZtrhSW[^b^ba#HmKu«\mi\_lvunuva~Ha*h]jt\&qEaT9³ s¾aqEma#moUXa*h]jEWZl«r}lna~=a^\_Elxwa#Uoa4w\^`lv¦
Eln^blra#U uvamoa^bstr ~´a#/ahSqmolvW[Mza#Uar}W[uv[\_HmKqEsEUXWZ{Euxwa#^ba~É´WZsmolv^`lro\molnWZhSW[^{Elnt\_mXWZlnUoa
EW[¹unlvay\_lvUXa&§É¥gWZqtrhSW[tr}l«~Ba#UXWZtrw\7hSa#meapÈam¼una*moa#^`str¡^`W_&a£~´a#/ayhSqEmolnWZ(hSWZ^b^`a¼qEa
W[thSmolnWZ~=ahSWqEmeamqE7^bWH~wa#una~=ahSWZ^`s¾Wªro\=m¿ÀRÁ B\_qElv&ay\_qbUXa#YZl«r}moUXa&§
ÀaeUar}ay\_q7WZUXlvYZlnt\_uô\#Z\lvm/qE7^»ah#\Elr^ba~=a²hSWZHmoUWZuva~=l¬Â7hSlnuvaw\^bamomoUXaa#qEHUoa&§H¥gW[qtr
^bW[=mXUoW[tr*hSWZ^`^ba#Hm¼lnusta#qEma#moUXa@rlv^bsuvlö¡aba#m*Uoa^bsEu\[habst\Ub~Ha#qEhSWZ^`sEmoa#qU]r¼amb~=ayr
UXa#YZl«r}moUXarS§HÀah]jt\_UXYZa#^ba=m9~HarBhSW&apÂ7hSlna#Hm]rKar}m/Ua\uvl«r=a\y&ayh¡qEaejEWZUXuvW[YZasEuvq|r U]\sEl~Ha ql
a#HlvmXaeuì´qEmolnuvl«ro\_mXlvW[7~=aUoa#Y[lrmoUoayrVx\_HmW[^barp§
Ç9arUEarqEuvmi\_m]r^bW[=mXUoa#Hm&qEastWZqEUeu«\hpWZthSasEmolnWZ~=aUar}ay\_qE7rsahSl¬¶&qEarBuì´lv^bstW[Uom]\thSa&zHlvu
armgln^bstWZUomi\_Hm ~´qmolvunlra#UBunar¡W[qEmolnur \_sEsUoWZsUolayrw\bh]jt\ qEaEln&a\_q~=a4r}sayhSlöÉh\_molnWZtrpzthSarWZqEmXlvu«r
x\_l«ro\=m \sEsta#uw\~=arBmXah]jEEl&qEar9[\_UolarS§
5 6
7-'B ¹! b
¨BjEa YZa#a#U]\u¾¢Ht\stro\[hk¢*sEUXWZ{Euna#^ l«r9\¼hpu\ZrXr}l«h¥eTK¦!!7$89]zhSWZ^{Elnt\_mXWZUol«\_uEW[sEmoln^blv·y\_molnWZsEUoW[{E¦
uva^ ¤lnmoj\@¤l~=a7Ui\_EY[a®W\_ssEuvl«h#\_mXlvWZ|r;:=<gq>[=z-¯£¨?@ì§ ìm*h#\ {tar}WZun&a~3ra qa#=mXl\uvuv£ln
A°CB;D#¸RmXlv^baªz_¤jEaUoaB1l«rVmXjEaHqE^{ta#U W_ôWZ{Eahpm]r9\_t~1DBlrKmXjEaeh\_st\[hSlvm&§ ¨BjEl«rVl«r9h#\_unuva~E,.F4"G
HJIH hSWZ^bsuva#HlvmK:MLONy@ErlvthSa/lvm lrRstW[uvHEWZ^bl«\_u&¤§U#§m§Z\ st\_Ui\_^ba#mXa#U9°±¤jlh]jlvmir}a#u¬Xz_Y[UoW¤ r
a#HstWZEa#Hmol«\_unuv7¤lvmXj¹lnEsEqEmrlv·#a[¸]§¯£\_H@moln^ba*hpWZtrqE^blvYblvtrm]\thSargWmXjEar}a*sUoWZ{uva#^7r a#=l«r}m
:ÇP<7>Q>=zÇ9jH,>Q?@ìzt\_|~®lvml«r¡mXjEa#UXaS WZUXa¼ln^bstWZUXm]\_HmmoWlvH&armolvYª\_mXaeaSÂhSlva#HmBs|\_U]\uvuna#uMlv^bsuva#^aS¦
m]\molnWZtrp§SRgagWMmoja r}m]\t~E\U]~b\sEsEUoWª\Zh]jEar9moWr}W[uvHlvEYmojlrRsEUXWZ{Euna#^©lr-~==|\_^bl«h sEUXWZYZUi\_^b^`lvEY
:=TBauUVN[zWL¥+NEzX<gq>[Y@ì§ ì@mXjElr st\_sta#Uz¾¤/a*\Z~~=UoarXrgmoja*sEUoW[{Euva#^ W_~=a#UXlvHlvEY`\rErmoW[uvlh¿ÀRÁH
\_UXU]\# W[UgmXjEa~==|\_^bl«h¡sEUXWZY[U]\_^`^blvEY4\_unYZWZUXlvmXjE^1 WZU moja¼¢Ht\stro\[hk¢bsUoWZ{uva#^£§
ZgHt\_^bl«hBsEUoW[YZUi\_^b^blnEYh#\bqtrqt\_unuv*{tar}stahplöta~*{H\¼UoayhSqEUoUXa#thSaa qt\molnWZMz\_t~mXjEa#UXagl«r
EW¤O\u«\_UXYZa{tWH~=W_/¤BW[Uo¢7WZ(r}H=mXjEarlv·#lnEYr}r}mXWZuvl«h\UoU]\#r UXWZ^ r}q|hkja q|\_molnWZtrp§<gW¤Ba#&a#Uz
¤Barjt\_unu r}a#amoj|\_mWZqUgUXahSqEUXUoa#thpaejt\Zrmoja² W[Uo^\[
W[U \_uvuMlnt~=a#`s¾W[lvHm]rpz] ^ °C]=¸#_a`É°X§#§#§!b°Cc(](dfe(dag °C]=¸X¸t§#§#§õ¸ °Xc_¸
ì7WZU]~Ha#UgmXWbhpWZ^bsEqmoa(^ \me\*stWZln=m]ln7mojEalvt~=a7r}st\[hSa&zE¤/a¼a#a~®mXjEa[\_uvqaW_hb UoWZ^ÊmXjEa
stWZln=mc(]+die+djg °]=¸]zÉ\_t~@mXjElrlr h#\_unuva~7\\GkGOl,GO4,IW_/mojEaa &qt\_mXlvWZô§e¨BjEamc(]ndie
lr \bhSu«\ZrXr}lh\_u-\yÂ`Ea~=a#sta#t~Ha#thSo: ½KQ?Y@ìzt{EqEmmojEasEUoara#thSaW_\b~E\m]\[\Uol\{Euva1g °C]=¸^bay\_tr
moj|\_mmXjEa;p
Oq r
p
r
sutÍy
Ovw t
ryx
{z
rx|1r
p=Ft &
v}v
sº°ìr}aab½RlnYE§9c_¸i§¹Á&qth]jUoahSqUoUoathSar
\_UXabrX\_l«~¹moWjt\#&a\~]~=Ht\_^`lh@° WZU~oUoqE¦±mXlv^ba ¸ ~=as¾at~=a#thplvar:¯@a#Y&[@ìz \_|~¹mojEa¤BauvuK¢HEW¤
~=a#sta#|~=a#thSasEUoW[ahSmolnWZmoah]jEEl qEayr WZUrErmoWZunlh*\UoU]\#r}HHmojEarlr:7>[Y@-\_Uoa*WZm\sEsEuvl«h#\_{uva&§
fOhSWZ^`sEuva#mXaer=Hmojar}l«rB^ba#mojWH~ WZUr}qth]j7UoahpqEUoUXa#thSar9lrBEW[m \#Z\lvu«\_{Euna\msEUoayr}a#Hm#§
¨Bj=q|rSzMmojEaUoa\_UXam¤/W®^`WZmoln[\_molnWZtrB WZUrmoqt~=HlvY®mXjEa`r}r}moW[uvl«hlv^bsEuna#^a#&m]\molvW[7W_mXjEa`~==¦
t\^blh*sEUoW[YZUi\_^b^blnEY\_unYZWZUXlvmXjE^ WZUmojEa7¢Ht\_s|ro\Zh]¢sEUoW[{Euva#^[mXjEabsEUXWZ{Euna#^ lr¼ln^bstWZUXm]\_Hmln
lvmireW_¤UolnYZjHm#z \_|~3\7h#\_UXaS qEu/r}mXqt~=£^7\#7uva\[~ mXW\@r}HHmojEarlre^ba#mXjEWH~® WZUUXahSqEUXUoa#thparg¤lvmXj
~=Ht\_^`lh ~=a#sta#t~=athSlvayrS§9ì7mojEl«rBst\_sta#U ¤BaesUoara#=mmXjEae WZunuvW¤lvEY*UXar}quvm]rp§
aYZlv&a²\¼ WZUo^\_uM~Ha#UolnZ\molnWZ°ì\t~bsEUoW&W9W_/hpWZUoUXahSmXEaror]¸KW/\uvlnEa\_Ur}r}mXWZuvl«he¢=t\stro\[hk¢
\UoU]\#&§9¨Bja\UoUi\y`lr ¢HEW¤7lvbmXjEauvlnmoa#Ui\_moqUoam:f(e[Y@ô\_t~blrB{|\Zr}ay~W[\4¶tHa~brlv·#aUolvY
mXWZstWZunWZYZ \_|~¹jt\ZrWZsEmXlv^7\uKrsta#a~=qEsô§7Ñmqtr}ar\_lvHmoUXlh#\moa*st\UomolnmolnWZElnEYroh]jEa#^ba&zt¤lvmXj
~=Ht\^blh#\uvun£hSW[^bsEqEmXa~ mi\_YªrSz/\_t~WZqEU~=aUolv[\molvW[3jEa#UXabsEUXW_Hl~Har\@UXlvYZW[UoW[qtrsUoW&W_W_
hSW[UoUXahSmoarorp§
agsUoW&amojEa\#&a#U]\YZamXlv^bahSWZ^bsuva#HlvmeW mojEa \UoU]\#lrh F
9O
V
z&¤jEa#Uoael«r
mXjEa=q^{ta#UMWMT9³´õrpzhy#°hW Z¸ l«rRmojEa/u\UoYZayr}m#°xr}^7\uvunar}mp¸¤/a#lvY[j=m-\_^bW[EY\uvuHsEUoW[{Euva#^
lntr}mi\_thSayrSzE\t~¢¡£lr9mojEarlv·#a W_ mXjEa ^ba#^bW[Uolvbay\Zh]jbT9³zE\~=ar}lnYZbs|\_U]\^ba#mXa#U#§ ¹a\_u«r}W
W[Uo^qEu\moa\t~£r}W[uv&a\WZ@unlvEay\_UWZsmolv^`lv·\molvW[7sEUoW[{Euva#^ ¤jElh]j7a#t\_{uvarqtrmoW*¶t7mojEl«r
st\U]\^ba#moaUBlv\@WZsmolv^\_ut^7\_Ea#U#§
¨BjEahSW[^bsEuvl«h#\_mXa~hSWZHmoUXWZutW_ômojEa\_UXU]\#*^7\¢&arúlnmKqEEUXa\_unlrmolhBmXWlv^bsEuna#^a#=mÉlv¿ÀRÁH]§Za
rjEW¤©jEW¤©mojEa`hSWZHmoUXWZu/h#\¹{tabUXa~=qthSay~@moW@m¤/W@rlv^bsuva*hpWZqEHmoa#Uir\t~¹\b a#¤ Å|lvsE¦ÅtWZs|rS§
ae\urW*r}jW_¤ÄjEW¤»mojaehSW&apÂ7hSlna#Hm]rKh#\b{taeuvWª\Z~=ay~aSÂhSlva#Hmoune{H*^ba\_|rVW-\¼^qEuvmXlv¦ U]\moa
hSunWHhk¢HlvY*roh]jEa#^`a&zZ¤jEl«hkjbW[{=Hl\moar9mojEaEaa~W_Vr}j|\Z~=W¤;UXa#YZl«r}moaU]rS§9½EW[UmojEl«rV¶tt\u ~=arlvYZôz
¤/a7r}jEW¤©jEW¤ mojEa`WZsEmXlv^7\uK^ba#^bW[Uo(r}lv·aUXa~=qthSayr¼mojaUXqEEElnEY£moln^ba*{= Z $)H"
,I1 ,'!Y.FK \'Z§
¨BjElr9st\_sta#Ul«rKWZUoYª\_Eln·#a~b\[r WZunuvW¤ rS§9ìmojEaea#=m/rahSmolnWZMzH¤Ba~=aS¶taemojEa sEUXWZ{Euna#^ \t~mXjEa
EW[m]\_mXlvW[Mzt\_t~`~=lrXhSqtror9mojEa²r}m]\moaW_ mXjEa\Uom#§9¨Bja#Mz=ln®ÁªahZ§EHz=¤/agsEUXar}a=m\² WZUX^7\_uÉ~=aUolv[\molvW[
W_ mXjEafgt~=W[EW=¦ qElvHmoW[b\UoU]\#:f(Z@ì§-ÑÁ&ahZ§Z¤Bar}jEW¤»jEW¤»mXjEaeT9³¹^`a#^bWZUXr}lv·a¤jElh]j
^blnElv^lv·#arMmojEa UoqEElvEYmXlv^bah#\_b{ta~=a#mXa#Uo^blnEa~{=4r}WZun=lnEY*\eEW[buvlnEa\UKWZsEmXlv^bln·\_mXlvW[*sEUoW[{E¦
uva^£§agmXjEa#\Z~~=UoarXrg° lvbÁ&ah[§U ¸ mojag^7\lv4~=U]\#¤{t\[hk¢*WMmojae\UoU]\#&z&t\^ba#un¼mXjEa hSW[^bsEuvl«h#\_mXa~
hSW[=mXUoWZuH^bah]jt\Elr^£§¾a r}jW_¤jEW¤lvm-h#\h#\_*{taUoay~=qthSa~moWem¤/WhSWZq=mXa#U]r \_t~*mojUoa#a/u\_mihkjarS§
½Rlnt\_unuv&z&¤BasEUXar}a=mW[qEUehpWZthSunqtr}lnWZtre°Á&ahZ§ ¸\_t~\*~=lrXhSqtrXr}lvW[@WR qEmXqEUoa¤/WZUo¢É§
/.@'Bb!¹ 01'/£!+ '/.
kr
q
#EFz
x v
»Á&qEsEstWªr}abmXjt\_mKB mHs¾ayr²WW[{EahSm]r\Uoa{¾alvEYhSW[tr}l«~=a#Uoay~( W[U
lv|hSuvqtrlvW[Æln\ ¢Ht\_s|ro\Zh]¢3Wh#\_s|\ZhSlnm} D_§½EWZU _ ci#§#§§!B£z una#m ! {ta@mXjEa"J",\_t~i#!
moja$h YBW_mojEa%±¦±mXj¹mHstaW WZ{EahSmzM¤jEa#Uoa ! z& ! zK\_|~D*\_UXab\uvu9stW&r}lnmoln&aln=mXa#YZa#UirS§`¨BjEa
¢Ht\_strX\Zh]¢@sEUXWZ{Euna#^l«rgmoWh]jEW&W&rab\7hSW[uvunahSmolnWZW_/WZ{Eahpm]rerW@\[remoW7^7\_Hlv^`lv·paemojEamoW[m]\uKsEUoW¶tm
¤lvmXjEWZqmga#hSa#ay~=lvEYmXjEah#\_st\[hSlvm7hpWZtrmoU]\lvHm#zElx§a&§nz
^7\('
)
!+*-,
.!}]! [
)
!/*0,
#!]!21jD3]!54?lvHmoa#Y[a#U67 _Oc8]#§§#§!B:9 °x ¸
¤jEa#UXa¢]!9lremXjEabHqE^{ta#U W_; ¦±mXj¹mHs¾aWZ{EayhSm]relv|hSuvqt~Ha~ ln¹mXjEa¢=t\stro\[hk¢É§7¨BjEa#UXab\Uoa^7\_H
[\_UXl\_mXlvW[trRW_|mojEl«rúsEUXWZ{Euna#^£z\_t~*rlvthSa9mXjElrMlr \_lv^bstWZUXm]\=m hSW[^{lvt\moWZUXl\u&WZsEmXlv^bln·\_mXlvWZsEUoW[{E¦
uva^£zH\=qE^{ta#U9W_9UXar}ay\_U]h]jEa#Uir jt\#&a~Ha#&a#uvW[sta~st\U]\_unuva#uô\_unYZWZUXlvmXjE^7rS§#Z =t\^blhsEUXWZYZUi\_^b^`lvEY
:ÀRÁÁ>>EzÇÇ/&?tzBÀRÁ =c&z/¨úa#|?@ìz/{EU]\thkj¦ì\t~=¦ {¾W[qEt~ :ÀRÁ>_tz/&½ >Q>@e\t~ \sEsEUXW_Hlv^\_moa\uvYZW[¦
UolnmojE^r2:ML=<¼HcZz,L a#U]Hc-@É\_UXagmXjEa ^bW&rm stW[sEqEu\UBmXahkjEl&qEarMqtr}ay~§9ferKEWZmXa~*{=¨Ma#EY :¨Ma#tQ?@ìz
mojaesta#U} W[Uo^7\thSaeWKst\U]\uvuvauM\_unYZW[UolvmXjE^7r/~=a#sta#t~ErBW[D_zHB\_|~®\urW1hy9zHmojEau\_UXYZarmWZ{Eahpm
¤BalvYZjHm#z hy9_^7\
,?>!@>
#! ° qEEuvln¢&aBmXjEaera &qEa#Hmol\uth#\[r}a ¤jEa#WZEun1B1\t~¢D\_UXagUXa#uvaZ\=mp¸]§-¨BjEa
HqE^{ta#UWesEUXWHhSarXr}WZUirUXa &qElvUXa~ {H^bW&rmW_mojabst\_Ui\_unuva#u\_uvY[WZUXlvmoj^7r¼l«r¼a#HstWZEa#Hmol«\_u/lv3mXjEa
r}ln·#aW_mojEablnEsEqEm4\_t~3mXjEar}a\_uvY[WZUXlvmoj^7rejt\#&a7\®&a#UX£uvW¤©sEUXWHhSarorWZUaSÂhSlva#|hS&§7½EWZUa#E\^b¦
sEuna*mojEa*{tarmemoln^bahSWZ^bsuva#Hlvm`\_uvY[WZUXlvmoj^" WZU°x ¸sEUXWZstW&ra~¹{H£¨Ma#EY{:¨úat?F@KUoa &qElnUoar=A °CD#¸
sEUXWHhSarorWZUir?BgmXWr}WZun&aemoja¼sUoWZ{uva#^ lvkA° uvWZY-C#°CB;D#¸o¸-molv^`a&§ ¨BjEae qEthSmXlvWZDA °FEú¸/\{¾W&a~=a#WZmoayr
G ß9Úë±ßÞ ãß ÜpÝxà¼ÛݱÜyæÑßë ë±ÜpÝ ë Mãßå ßà#èõëxæìÚë±ë9ë ÜnÞ Mé]Ý ßBèõï Ûõßïß}åÞìé]Þ±èµÜSåëXòékå[àító5Hë Mãßå*Ý ß nßÝ èõåîeÞ±Ü
ã[ékÝxàMé]ݱß-èõïgÛõßï ßå#Þìé]Þ èõÜSåëXý
½RlvY[qEUoac[9¨B¤/W¢Ht\stro\[hk¢bsUoWZ{uva#^ lntr}mi\_thpar-[KEW[moajEW¤ mXjEaYZU]\sEjtrg[\Uob¤lnmoj7mojEaK#!x´õr
mojae=q^{ta#U9W_-sEUXWHhSarorWZUir¡Eaa~=a~ WZU^qEuvmXlvsEun=lnEYem¤BW E@{= E®^\_moUXlhSayrVlnkA°±unWZY EM¸9st\_Ui\_unuva#u
moln^ba°±¤jEl«hkjlr¢HEW¤moW£{ta7{¾am}¤/a#a#"E
C
\_t~E #¸]§{<ga#thpa&zK\m*uva\[r}m¢A°CD
C
¸sEUoWHhparorWZU]r\_UXa
Ea#ay~=a~z\_t~
,
lr\x\ZhpmoWZUln7mojEaaSÂhSlvathS&zZ¤jlh]j@\sEsEUXW&\Zh]jEar·#a#UXW\ZrDglv|hSUoa\[r}arp§
!¢s
r t
x "
_ ft
r#"wx
kr
q
EFz
x v
Z R Ea£WmXjEa£^bWªr}m¤Ba#unug¢HEW¤
\_ssEUoWª\Zh]jEar² W[U*rWZuvHlvY®¢Ht\stro\[hk¢£sEUXWZ{Euna#^7rgl«r~==|\_^bl«hsEUoW[YZU]\^b^blnEYE§*ìmlre{t\[r}a~WZ3mXjEa
X'4 , =$ 9%;- J $I :=TBa#u UVN4@/\_t~3qtrqt\_unuv hSWZHm]\lvtrm}¤/W@sEj|\Zr}ayrS§£ì3mXjEa¶tUir}mb° WZUX¤\_Ui~¾¸
sEjt\[r}amojEa^7\=ln^*qE^%$t
v
W_-moja¼W[{EahSmXlv&a qEthSmXlvWZ7l«rhSWZ^bsqEmoa~ÉzE\_|~®mojlrBlrBq|r}a~blv7mXjEa
r}ayhSWZt~Ä°±{t\[hk¢HmoUi\Zh]¢=lnEY=¸sEjt\[r}a@mXW3~Ha#moa#UX^blvamXjEa£EZ R
v xlv
MFt
xr
§ ìm*l«r¢=EW¤mojt\mmXjEa
{t\[hk¢HmoUi\Zh]¢=lnEYsEj|\Zr}al«rBlvEjEaUoa#Hmounr}a &qEa#Hmol«\_u:f(ZY@xzE\t~7h#\_7{tas¾aU} WZUX^ba~lnD doBrmoa#s|r
lÃ-hpa#Uomi\_lv`{¾W&W[¢=¢&aa#sElvY*lv= W[Uo^7\molvW[blrB^\_lvHm]\lvEay~~=qUolvY*mojEag W[Uo¤\_U]~7sEjt\[r}a&§9ì7WZqEU \UoUi\yªz
mojlr¼{tW&W[¢=¢&a#asElvEY7¤lnuvu9Uoa &qElnUoa*WZa7hSWZ^`st\_Ui\_moW[Uo¦x\Z~E~Ha#U*\t~3m}¤/W7Uoa#Y[lr}mXa#U]rlva\Zh]j T ³§-Ñml«r
mojHqtr\@hSW[tr}mi\_HmW&a#Uoja\Z~z \t~3\yÈÉahpm]r¼W[Euvmoja¶t|\_uT9³Or}ln·#a&zM{EqEmEWZmmojEat\moqEUXabW_ mXjEa
\_|\_uvr}l«rS§¹abmXjEa#UXaS WZUXa WHhSqtrW[ moja WZUX¤\_Ui~3sEjt\Zra&z9¤jElh]j3lrr}stahSl¬¶ta~3{H¹mXjEa WZunuvW¤lvY
UoayhSqEUoUXa#thSa [
WZU\_unu&(' [¢?*)+& 1 D3!?,)-' 1B£z ¶tt~/.R°D3!B@¸iz=¤jEa#UXa
. °&('E¸#_10324.R°5&('76»c_¸ 8.R°&*6o:9('76+;K¸Wd$9< °x ¸
¤lvmXj7{¾W[qEt~E\Uo(hSWZt~HlvmolnWZtr:. °&!?&¸S_=.R°?('E¸P_j?\_|~>.R°5&('E¸#_?6A@ ¤jEaB&C)j?=§
ìmblr¤/a#uvu ¢HEW¤ :¯£¨?Y@mojt\m@~HlÃÈÉa#Uoa=m[\_Uol«\_mXlvWZ|rW*mXjEa£¢=|\_strX\Zh]¢»sEUoW[{Euva#^ ^ba#UXa#uv
hSW[UoUoayr}stWZt~7moW`~=lÃÈÉa#UXa#Hmh]jEWZl«hSar W:0 \_|~®mojahpWZtrm]\_Hm ; ln¹°x ¸8[
¨BjEa
" r
v z r q
#EFz
q x v °0OlrB^7\z\_t~/; _?&¸]§
¨BjEa
z r q
EFz
q x v °0OlrB^7\b\t~>;\_Oc_¸i§
¨BjEa
]
q x v °ì\? ªc¢Ht\_strX\Zh]¢bsEUXWZ{Euna#^ ¤lvmXj ! _ ! ¸i§
¨BjEa
r#"
,zWt
r#"\q
x v °0;lr^blnb\t~>;\_? ¸i§
<ga#|hSaS WZUXmojMzM¤/abhSW[tr}l«~=a#Uzú¤§uì§WE§Y§vzmXjEabY[a#Ea#Ui\_u9¢=|\_strX\Zh]¢£sEUoW[{Euva#^dÄ\_unuRW[qEUUXar}quvm]rh#\3{ta
a#Hmoa#|~=a~mXWmXjEaWZmoja#U[\_Uol«\_Hm]rp§
¡ayhSa#HmouvªzE\~==|\_^bl«hgsEUoW[YZUi\_^b^blnEY*\uvY[WZUolnmojE^ W[UgmXjEa?&c¢Ht\_s|ro\Zh]¢bsEUXWZ{Euna#^£zH¤\Zr sEUoa#¦
r}a=mXa~®{H7Àlv\t~¹Á&mXWZUoaU:ÀRÁH=c@x§gìmln^bsEUoW&ar9WZÀa#aa#m\_uì§:ÀRÁÁ>>@-\_t~7lvmir¡UXqEEElnEYbmoln^ba
lr2 °CB;D ¸-WZ\_³9g³K T9gfe¯ÊW_ ¼sEUXWHhSarXr}WZUirg\t~bmojEl«rB\uvYZW[UolnmojE^ jt\ZrBW[sEmoln^7\_uÉrs¾aa~=qEs
\_|~sEUoWHhSayror}W[U9aSÂ7hplva#thp&§¨Bja \_qEmXjEWZUirRUoa#stW[UomKmXjt\_mKW[\¼Ç9WZEahSmXlvWZ¯£\[hkjlvEa&z#mXjEaBmXlv^ba/hSW[^b¦
sEuna#=lnmelvthpUoa\[r}arRmXWE ° Q
¸M{tah#\qtr}a W_ôhSW[^b^qElh#\mol¬WZhSWªr}mirS§BÇ9jEa#*am9\_ux§:ÇÇ/&Q?=z=Ç/&[@
sEUXar}a#Hm-\¡unlvEa\UK\UoUi\yWWBY[a#Ea#Ui\_uHsEqEUXs¾Wªr}a sEUoWHhparorWZU]r/°±a\[hkj¤lvmoj4\er}qHÂ7hSlna#Hmouv u\UoY[a fe¯¹¸]§
ìmjt\Zr \moln^bahSW[^bsEuna#=lnmì °B DF&¸]zE¤jEl«hkj`lr\Zr=^`sEmoW[molh\_uvun*WZsEmXlv^7\uì§
R qEU9^bWH~=a#uEW hSW[^bsEqEmi\_mXlvWZlr ¤Ba\¢&a#U}d \¼rErmoW[uvlhBUXlvEYz&¤jEa#Uoa a\[hkj*sEUXWHhSarXr}WZU/lrKUoa qElnUoa~
moW`jt\#&a¼W[Euv(\bhSW[tr}mi\_Hmr}ln·#a^ba#^bW[Uo=¤Bajt\#&aWZsEmXlv^7\uRsta#U WZUo^\_thSaW[£mojEl«r¡^bWH~Ha#uì§ ½EqEUo¦
moja#Uo^bW[Uoa&z-\¹rW_ m¤\Uoa7&a#Uir}lvW[3W_WZqUb\uvYZW[UolnmojE^j|\Zr*&a#Uo£Y[W&WH~ s¾aU} WZUX^7\_|hSa&z9\Zr*Uoas¾W[UomXa~
lv \7hSWZ^`st\_ElnWZst\_sta#U :fe7ZY@°ìr}aaUXaS a#UoathSargmXjEa#UXa#lv@ W[U\~=a#mi\_lvuna~£r}qUo&a#W_r}W m¤\_UXa
lv^`sEuva#^a#Hm]\mol¬WZtr]¸]§
Xs S
xv
t `_s
wx
?!¢s
r ft
x "
ft
r#"
v"x
Yt Z Ñ|~=a#sta#t~=a=mW_7mXjEa
¢Ht\_strX\Zh]¢sUoWZ{uva#^£z&^7\=Uoara\_Uihkja#U]r9jt\#&agsEUXWZstW&ra~@rErmoW[uvlh \_UXU]\#r WZU~H=t\^blhsEUXWZYZUi\_^b¦
^blnEYE§-¨BjElrlvthpuvqt~=ayrB\_UXU]\#r W[U r}stahSl¬¶Éhelvtrm]\_|hSarSztrqth]j@\[r¡W[sEmoln^7\_uôr}mXUolvY*st\_UXa#=mXjEarlv·\molvW[
:ML;<¨7N@xz_s|\_mojsEu«\_EElnEY1:T <+>Q>Y@xz_a#mihZ§vz[r}W[^baBY[a#Ea#Ui\_ut\UoUi\yr2:ú¿ >HzZ¯@&Wª=c@\ZrR¤/a#uvu\ZrK\UoUi\yr
moj|\_mh#\_r}W[uv&a\_Hblntr}mi\_thSaW/~=Ht\_^bl«h¡sUoWZY[U]\^b^blvYEzX:ÀZ>QUEztÀMÀW>Z@ì§r}qt\uvuvªz=moja\UoUi\yr
WZU4r}stahSl¬¶Éh*lvtrm]\_|hSar¼j|\y&a{ta#momXa#Usta#U WZUX^7\_thpamXjt\_3mXjEabY[a#Ea#Ui\_u9sEqEUXs¾Wªr}a\_UXU]\#r{¾ayh#\_qtra
moja#h#\_ a#=suvWZlnmesEUXWZsta#UomXlvarW_ mXjEas|\_UomXlhSqu\_UsEUXWZ{Euna#^ \_mjt\_|~§@¨Bjlrelremoja7h#\Zra W[UmXjEa
¢Ht\_strX\Zh]¢sEUXWZ{Euna#^OmoW&Wd»lÃɤ/aqtr}aÀlt\_t~* \_jM´µrK\_UXU]\#;:ÀZ>UY@& WZU-WZqEU9sEUXWZ{Euna#^£z#¤Ba¤lnuvu&Eaa~
DgsEUXWHhSarXr}WZUire\_|~®m]\¢&aKB D molv^`aermoa#strpz¾¤jlh]jblr hSuvay\_Uounqt\Zh#hpa#sEm]\{Euva4°ìr}lnthSa¤Bah#\£\[hkjElna#&a
mojaerX\_^bamXlv^ba/WZ`\¼qEElnsEUoWHhparorWZUS¸i§9³K&a#*mojEa~=a#unm]\emoUi\_trì WZUX^7\_mXlvWZsEUXWZstW&ra~{HÀlvsEmXWZ`\_t~
ÀWZsUoarmol :ÀMÀW>Z@MHlvau~Er9WZEunbuvW[Y&\_UXlvmXjE^blhlv^`sEUoW&a#^a#HmKlvr}s|\ZhSa\_|~®moln^ba&§
*EFz
" x r p x w yt±
q q ¨BjElrBs|\_sta#U Uoa#sEUXar}a=mirB\r}moas®ln\_7a#&WZunqEmolnWZt\Uo7~Ha#&a#uvW[sE¦
^ba#Hm W_MW[qEU9UoarqEuvmirS§9¨BjEa^\_lv~HlÃÂhSqEuvmlv*W[{Em]\lvElnEY*\rErmoWZunlhB¢Ht\_s|ro\Zh]¢\_UXU]\#\_UXlrarR UoWZ^
moja*UoqEE¦ moln^ba~=a#sta#t~Ha#thS&zE¤jlh]j£¤BWZqu~@ra#a#^ÊmoW`Uoa &qElvUXaqEH{tWZqE|~=a~@^ba#^`WZUolv£ay\Zh]j£T9³§
¨BjEaB¶tUir}m9rWZunqEmolnWZ*¤lvmXj*hSW[tr}mi\_HmK^ba#^`WZUo ¤\[rRsEUXWZstW&ra~{Hfgt~=W[EWzªfguva#¢ro\t~=UXW_Éz[\_t~TBa#¦
t\lvElP:f(T?Hztfef(T=c4@9°±a\[hkj7sEUXWHhSarXr}WZUjt\ZrgaE\[hSmoun¢¡3¤BW[U]~Er W_9^ba^bWZUX¾¸i§K¨BjEahSUXqthSl\uMl~=ay\
lr\m]\YZYZlnEY£rXhkja#^ba¤jElh]j@atr}qEUXargsEUXWZsta#U~E\m]\7r}Hth]jEUoW[Elv·\molnWZM§¨BjEa\UoUi\y£l«r¡a=mXa#tr}ln{Euva
¤§U§m§,B£z,De\t~khyzH{EqEm jt\Zr \UoqEElvEYmoln^ba W_P °B;D
C
F¡K¸9WZ(\UXlvEY*W#*T9³´õrpzE¤jElh]jbl«r
qEt\[h#hSa#sm]\_{uva*° mojEar}a &qEa#Hmol«\_utlv^`sEuva#^a#Hm]\molvW[mi\_¢&arPB D r}mXa#str]¸]§9f m¤BW4~=lv^`a#tr}lnWZt\uE&a#Uir}lvW[
¤\[r sEUXWZstW&ra~{Hfgt~=W[EW\_t~;LgUXqt\_q :f(LeHc-@t{EqEm9lnmB\urWjt\[r stW&WZU/s¾aU} WZUX^7\_|hSa&§Kf t~=WZW_
\_|~ gqlvHmoWZu\moa#UsEUXar}a=mXa~@\*uvlnEa\_U \UoUi\y :f(Z@ìzt¤jEa#UXa¼mXjEaUXqEEElnEYbmXlv^ba ¤\[rg{EUoW[qEYZjHm
~=W¤@mXW °B DF&¸]§-¨BjEa#7qtr}a\hSWZ^`sEuvl«h#\_mXa~hpWZHmoUoW[uM^bah]jt\_lr}^©mXWln^bsEuna#^apHmKmojEam]\YZYZlnEY
roh]jEa#^`ae¤jElh]j@UXa &qElvUXar¡ay\Zh]j@sEUXWHhSarorWZUmoW`s¾aU} WZUX^%\b~HlvHlr}lnWZ^bWH~=qEunWb\\_Uo{lvmoUi\_UX@lvHmoaYZa#U
°±Wbu\UoYZaUemojt\hyp¸]§¨BjEl«rgUoa#|~=a#U]r lvm lv^bsEUi\ZhSmXlh#\u \_t~£\urW@rX\ZhSUXlöÉhpar¡a=mXa#tr}ln{Elvunlvm¤§U#§m#§
hy§ ¯@W&r}mW_9mXjEasEUXa#HlvWZq|r¡UXar}qEunm]rjt\#&a*\sEsta\_UXa~@lv(hSWZ= aUoa#thparBWZU\[rgmoayhkjElh#\uMUoa#stWZUXm]rp§
¨BjEl«rBst\_sta#U lrBmXjEae¶tU]rm#zthSW[^bsEuvamoa &a#U]rlvWZrqE{E^blnmomoay~mXWb\£\_Uihkjlv[\_uHWZqEUXt\_ux§
+-Kb
( !_( $ 9£ ) (*,+-/. e!£'/'B
T\Zra~ÆW[ mXjEa\_{tW&a£hSW[tr}l«~=a#U]\molnWZtrpzB¤Bar}j|\_uvu ~Har}lnYZ W[qEU`\_UoUi\#Æ{Hrmoqt~=HlvY¹mXjEar}stahSl¬¶Éh
r}mXUoqthpmoqEUXaBW_ÉW[qEURsUoWZ{uva#^; WZUX^qu\_mXlvW[°x ¸i§hR qEUR¶t|\_u~=ar}lnYZ*ln^bsEUoW&artmojEafgt~=W[EW=¦ qElvHmoW[
:f(Z@ìzt¤jEl«hkj¤\Zr sEUoara#Hmoa~7lv£\£lvHmoqElnmoln&ae^7\_Ea#U#§(R qEU~=a#UXlv[\_mXlvWZ£ln@mXjElreÁ&ahSmXlvW[@lr \
UolnYZW[UoWZq|r²sUoW&W_/WhpWZUoUXahSmXEarorpz\t~£\_u«r}Wr}aUo&ar\[r¼\h#\[r}ar}mXqt~=7 WZUrErmoWZunlh\_UoUi\#@r=Hmojar}l«r
WZU UoayhSqEUoUXa#thSayr ¤lvmXj7UoqEE¦ moln^ba~=a#sta#t~=athSlvayrS§
¨BjEa#UXa£\_UXa@m¤BW hSUXqthSl\uWZ{tra#Uo[\molvW[tr7\_{tWZqmbmojEa(~=a#sta#t~Ha#thSlnarW_`°ì&¸mXjt\_m\_uvunW¤ qtr*moW
r}HHmojEarlv·#a \_?\_UoUi\#&z¼a&a# mXjEWZqYZjO¤Ba~HW EW[mhSWZ^bsuva#mXa#uv¢HEW¤%mojEa ~=a#sta#t~Ha#thSÄYZUi\_sEj
r}mi\_mXlh#\uvuv&d»mXjEa~==|\_^bl«hghSW[^bstWZEa=m/W_9mXjEa~=a#sta#|~=a#thSlnar l«r $
#Ft &
v
\_|~kp
xV|1r|
YpÄ°ìra#a
½RlnY»c_¸i§©¨BjEa£¶tU]rmbWZ{tra#Uo[\molvW[;lv^`sEuvlnar¼mXjt\_m7lä/ahkjEW&Wªr}amojEa\uvunWHh#\_mXlvWZ» qEthpmolvW[»moW{ta
et°&('E¸_ '|zB\uvuBmXjEaf~olnUoUoaYZqEu«\_Uolnm,7lrsEUXWZahSmXa~¹lvHmoWmojEa7sEUXWHhSarXr}WZU`r}s|\ZhSa&§ ¨BjEaT9³ ^qtr}m
^7\t\_Y[a*\hSa#Uomi\_ln£\_^`WZqEHmW_9^`a#^bWZUX7°±EW[mBqtrme\ a¤ UXa#YZl«r}moaU]rk¸iz¾{qEmgmXjEaln=mXa#U]hpWZEEayhSmolnWZtr
\_UXa*sEqEUXa#uvr}r}mXWZunlhZ§¨BjEar}ayhSWZt~@W[{tr}aUo[\_mXlvWZlv^`sEuvlnar mXjt\_mp°&('¸7_ &Ed '7l«re\bZ\uvl«~@uvlva\_U
roh]jEa~HqEuva&§
¨BjElrMHlva#u«~ErM\_\UoU]\#¤lvmXjB T ³´µrSzZ¤lnmojhy ¤BW[U]~ErRWt^ba#^`WZUoª§¨BjEaT9³¡´µrR\Uoa/lvElnmol\uvln·#a~
¤lvmXj 9 zÉ\_t~\_ma\[hkjhShSunaemojEa7hSWZ^`sEqEmoa70 °±lì§a&§vzH^7\_t¸Kq|r}lvYW[EaZ\uvqEamXjt\_m\_UXUolv&ayr UoWZ^
moja¼unaS m9Ea#lnYZjH{¾W[U \_t~7WZEa[\_unqEag UXWZ^ mXjEae^ba#^`WZUoZmXjEaeUoayr}qEunmlrBra#HmmoW*mojaeUolnYZjHmEa#lvY[j={tW[U
\_|~\_u«r}WrmoW[Uoa~lvmojEa/^ba#^bW[Uo°±WZuvmojEaK¶tUir}m
9
^ba#^bW[UouvWHh\_molnWZtr-\_Uoa9qtra~¾¸i§K¨BjEa/sEUoW[YZU]\^
a#HahSqEmXa~{Hbmoja 'ª¦±mXj@T9³ l«r\ZrB WZuvunW¤ r-[
W[US_1'moW ' dfDe~=W
:. o^ba#^°
¸C@ _ '
. lÃ:) ' d 9
0*°. o^ba#^`°
¸Wd$
9 ¸ WZmoja#Uo¤l«r}a
¨BjEa*sEUXWZ{Euna#^ʤlvmojmojEl«rg\UoUi\yªzlrmojt\memoja^ba#^`WZUo`r}ln·#aW_/a\[hkj(T ³»lrhyz¾¤jlh]j@lr \
sEUXWZ{Euna#^ st\U]\^ba#moaU#§ ¨BjEa#UXaS WZUXagmXjEa r}W[uvqEmXlvWZlrKEW[m9moUoquv*rErmoW[uvlh[§R¿ÀRÁH lv^bsEuna#^aSHm]\molvW[trW_
mojlr\_UXU]\#bjt\#&a&z&Ea&a#UomXjEa#uvayrorSz&{ta#a#rmoqt~=lna~b\t~®mXjEaeuvln^blvmi\_mXlvWZ|rVa=stW&ra~{:¯£fe[Y@x§K¨MWbrWZuv&a
mojlrSzE¤/aqtr}a\r}st\[hSamXlv^ba ^7\_s`YZlv&a®{HbmXjEae WZuvunW¤lvEY\uvuvWHh\_molnWZ(\_t~7molv^`lvEYe qEthpmolvW[tr°C¡9z
moja¼^`a#^bWZUX*rlv·#aW_-a\[hkjT9³zElr\hSWZtrm]\=mdÄ\~=ar}lnYZ7st\U]\_^`a#moa#Up¸]§
et°&('¸ _ ì°&^`WH~ 9 d»c¸ F¡(d 9
,
)
!+*-,
#! ¡ ° =¸
p°&('¸ _ &+dx°&^bWH~ 9 d»c_¸ F¡(d 9 ,
)
!+*0,
#! ¡ °U ¸
¹a¤lnuvuM\urWEaa~7\_£\qEHlvuvl«\_UX qE|hSmolnWZb WZUW[qEUgsUoW&W_VW_/hSW[UoUXahSmoaror4[
7°&('¸h_ì°5&^bWH~1:9
, d»c¸ F¡A6x°&^bWH~:9Sd c_¸ ¡d:9F¡ °x ¸
¨BjElrrst\ZhSa¦±mXlv^ba^7\_s£l«r²WZm*\7rlv^bsEunaunlvEa\UemoUi\_trì WZUX^7\_mXlvWZôzR\[r¼qtra~£lv£mojaunlvmoaU]\_mXqEUoa
:M>ZF@ì§*ìt~=aa~z¤lnmojr}q|hkj\b^7\sEsElvYEzmXjEa#Uoa*l«rga#&a#EW7YZqt\U]\=mXa#amXjt\_mmXjEa*moUi\_trì WZUo^`a~
\_unYZW[UolvmXjE^ l«rr}r}moW[uvl«hZzE\t~®mXjElrBEaa~ErBmoW{tasEUoW&a~ WZUX^7\_unuv&§
(.,-8CC n- Y4{3I, . %&'!n9%K! 4
xWx w
e¹ar}jW_¤ºmojt\mB WZU\_Hbm¤BW*stWZln=mirSzy:& '@ \_t~o:&@('@ìzElv7mXjEalvt~=abrst\ZhSaªzElÃ
et°&('¸
p°&('¸
_
et°& ('¬¸
p°&('¬¸
mXjEa#,& _ & \_|~ '1_1' §9¨BjEa~=a#m]\lvu«r\_Uoaln®mXjEafgsEsta#t~Hlvɧ
<gW¤Ba#&aU#zK^ba#UXa#uvsEUoWHlvEYmoj|\_m*moja@^7\sEsElvY@lrhSW[=Åtlhpmo¦ Uoa#a&zKl«rEWZma#EW[qEYZjô§Æa£h#\
Uoay\Z~=lnuv`r}a#ae UoW[^ moja\{tW_&a~=ap¶tElvmXlvW[trSzEmXjt\_m
et°&(' d c_¸ 6fet°&('E¸#_®°5&('E¸ °NZ¸
¨BjHqtrSz mojEa`~=a#sta#t~Ha#thS :&('@ :& 'd;c4@ l«re^7\_sEsta~£moW7sEUXWHhSarXr}WZUirmojt\m\_Uoar}a#st\U]\moa~£{=
7°&('E¸i§gÁ&lnthSamojEl«r¡l«r¡WZm\hSW[tr}mi\_Hme&ahSmXWZUz={EqEm²\4 qE|hSmolnWZ@W9moja¼lnt~=a#7stWZln=m\_|~¹°±^`WZUoa
lv^`s¾W[Uomi\_Hmouvt¸]zKWK 9 ¤jEl«hkjl«rEW[m¢HEW¤r}mi\_mol«h#\_unuv&z9WZqUb\UoU]\#~HW&arEW[ma#&a3jt\#&a7uvWHh#\u
lvHmoaU]hSW[EEahSmXlvW[tr½EWZUXmoqEt\moa#un&zM¤Ba\ur}W(r}a#amoj|\_m®°5&('E¸ _ p°& 'Edºc_¸ 6 p°&('¸]§1<ga#thpa&zM\
[\_unqEasUoWH~=qthpa~¹{H\_H£sEUoWHhSayror}W[U#z Mz \_mmolv^`a&z pzMlreUoa &qElnUoa~£{=£sUoWHhSarXr}W[U!¢d"%\mmoln^ba
d#7§fere\bUoarqEuvmz¾¤/a*^7\#7~=arlvY[\®rErmoW[uvlh\_UXU]\#@mXjt\_mWZsta#Ui\_mXar\Zr¡ W[uvuvW¤ rp§³9\Zh]j£[\_unqEa
W_ . hSW[^bsEqEmXa~3lvmoja£\_UXU]\#lr;C&OG®¤lvmXj»\$Z\uvqEaª§»³K&a#Uo T9³ ^baUoa#un£moU]\tr}^`lvm]rlnm#z
¤jElnuva~=ayhSUoa#^`a#=mXl¬EYemojaem]\YE§PTBmXjEaemoln^bamoja¼[\uvqEa\UoUXlv&ar9\_mmXjEa~=ayr}molnt\_mXlvW[MzEmojEam]\_Y*j|\Zr
Uoay~=qthSa~*moW`cZz\_t~mXjEaT ³~X¢=EW¤ rmojt\mBmojae[\_uvqagl«r- W[UBlnm#§K¨BjahSWH~=aea=ahpqEmoa~{H*a\[hkj`T9³
* , !"!#
$# &%
('
**)
$
,+
-,.'
*
+
/1032547698;:
#
9<
=?>
@ )BAC
C!DE
GF%
H )
$JI
DKLM
F @ ,A '* >
N
F @ ,
A '* y
>
$PO F @ -,
A
JQ
%
RTS
UWV3/1X381Y9X
#
9<
=[Z
@ )BA[%
H F @ -, A > >
$
DKLM Z\E]^_'
* Z
N Z\E]`^T'
*(aDbc)
R +
1d
- DegfihTj! d k!ml
n< <
d o
>
@ )BA=%
\E]^
'
*qp
r
ts pvuw`wDx
r
ts
p@)
$
Ty&z-{
| ,A
r
ts
+
)
\E]^}'
*~)
$
+
>
\E]^
'
*F
@ ,
A
G
,
\E]^
'* B
,+
81Y1VGg2 E8
)
\E]^
'
*~)
$
+
>D\E]^}'
* >
+
Z\E]`^'
* Z
$
+
MP `
MP g
½RlvY[qEUoaO[/¨BjEahSWH~=aa#HahSqmoa~{Hba\[hkjT9³ÆW9mojaf t~=WZW_H¦gqlvHmoWZ\UoU]\#
lr r}jW_¤lv½RlnYb7°±lnmlvthSunqt~=arBmXjEa{tW&W[¢=¦ ¢&a#a#sElnEYUoa &qElvUXa~ W[UgmXjEa{t\[hk¢HmoUi\Zh]¢=lnEY*st\Uom W_9mXjEa
\_unYZW[UolvmXjE^@¸i§
ì£WZU]~Ha#UemoW`sEUoW&amXjt\_mmXjElr r}mXU]\_mXa#YZ£¤/WZUX¢ErehpWZUoUXahSmXuv7¤Ba^qtrmerjEW¤Omojt\m¼¤ja#\b~E\m]\
[\_unqEa*lre{ta#lvYbsEUoW[st\_Yª\_mXa~¹lv£mXjElre^7\EEa#Uz¾mXjEa`T ³´µrgmojt\mlvmest\[rorar¼mXjEUoW[qEYZj \_UXaEW[m{Eqtr}
¤lvmXjmojEa#lnU*W¤ hpWZ^bsEqm]\_mXlvW[ ° WZmXjEa#Uo¤l«r}a7moja#Uoa7¤lvunuB{ta\¹hpWZ=Åtl«hSm WZU*mXjEa7lvHmoa#UihSWZEahSmXlvWZ
¤lvUXarSz\_t~\_u«r}W* WZU mojEafeÀ ;moW~HahSUoa^ba#Hm mXjEam]\Y=¸]§
x
¢.4C'9} I .! -%&'!
xWx w
*°ìr}aafgsEsta#t~Hlvt¸K¨Bja¼^\_lvl~Ha\¼l«r moj|\_mB WZU/m¤BW*~Hlr}mXlvthpmBstWZln=mirSzW:&('@ô\_t~{:&@('@xz
\t~ W[U \_H [?,) /)"®°5&('E¸
et°&('¸Wd
p°&('¸Wd _
e¾°5&(' v¸
S°5&(' v¸
una\Z~rBmoW`\hSW[=mXU]\[~=lhSmXlvW[M§
fglvHmoqElnmolv&aa#HsEu«\_t\molvW[¹WmXjEaW[sta#U]\molvW[3W_mojEa\UoUi\y£l«r\Zr² W[uvunW_¤ rp§¨úW7sta#U} W[Uo^%mXjEa
hSW[^bsEqEmi\_molnWZ`\ZrXr}WHhSl«\_moay~¤lvmXjmXjEa 'ª¦±mXj7hSWZunqE^b*W mojEa~=a#sta#t~Ha#thS*Y[U]\_sjMz=¤/ag^qtr}mVr}moW[Uoa 9
~E\m]\b[\_uvqarSzt{EqEme¤/a*jt\#&aW[Euv¡Æ¤/WZUi~EreW_/^ba#^bW[Uo*W[¹a\[hkj(T9³¡§ <ga#thSaªzE¤Ba*\uvunWHh#\_mXa
T9³9rV WZU9mXjEa W[{MzHr}Wmojt\mB{ta#m¤Ba#a*mojEa#^(z_mXjEa#*jt\#&a r}qHÂ7hSlna#HmK^ba#^bW[Uo&§X<gW¤Ba&a#U#zZmXjElr-h#\_qtrar
m¤BW7hpWZ^bsEunlh#\molnWZtr4[Blvmh#\_q|r}aremoja;:=?.#c-@V~=a#sta#t~=athS°±¤jEl«hkj£l«r¡qElà W[Uo^@¸/moWb{ta\uvuvWHh\_moay~@moW
sEUXWHhSarorWZUirRmojt\m9\_UXaBEWuvWZYZa#U-\Z~_X\[hSa#HmZ^`WZUoaW_&aU#zSmXjEaBHqE^{ta#UWMT9³9rMUoa &qElvUXa~g WZU9\ hSW[uvqE^b
°±¤jlh]j®l«rg\urWbmojEa4~=lrm]\thSamojt\m\~E\_mi\[\_uvqajt\[rgmoWmoUi\y&auMlv@W[U]~=aUgmXWbUoa\[hkj7mXjEa*T9³ moj|\_m
Ea#ay~Erglvmp¸lr EWZm¢HEW¤r}m]\mol«h#\_unuv&zt{EqEm~=a#sta#|~EreWZ£moja*sEUoW[{Euva#^ lvtrm]\thSa&§¨BjEar}W[uvqEmXlvW[¹l«r
moW`h]jEW&W&ra*mojEamoln^blvY¼ qEthpmolvW[@ln£r}q|hkj\^7\EEa#U/mojt\m\*m]\_Y[YZlnEY7roh]jEa#^`ah#\_{ta*~=a#&auvWZsta~
moW`hSW[=mXUoWZuMmXjEa~E\_mi\sUoWZs|\_Y&\molnWZM§½EW[UB qEUomXjEa#U ~=a#mi\_lnurSzHmojEaUXa\Z~=aUlrBUoap a#UoUXa~moW:f(ZF@ì§
6
£
'
e
ì£WZqEU4~=a#&a#unWZsE^`a#=mr}W7x\_U#zM¤/a*jt\#&a*EWZmr}stahplöta~@mXjEaZ\uvqEa*WmXjEabT9³ ^`a#^bWZUX&z,¡9zRW[mojEaU
moj|\_rX\yHlvY®mXjt\_mlvmlrhSW[tr}mi\_Hm#z lvt~=as¾at~=a#HmeW_ mXjEasEUoW[{Euva#^ st\_Ui\_^bamoa#UirS§¢< a#thSa*¤/abh#\
moUXa\_mlvm\[rb\~=ar}lnYZst\_Ui\_^ba#mXa#U#§a@EW¤ÊrjEW¤ jEW¤Êlvmh#\ {ta£h]jEW&ra# W[sEmoln^7\_unuv&§ ÁªlvthSa
:=D !B¢@Kl«rgmojEau\[r}mstWZln=mmoW7{ta`hSWZ^bsqEmoa~ÉzmojEaUoqEElvY®mXlv^baW_¡\_U]h]jElnmoahSmXqEUoalreWZ{m]\_lnEa~£{=
r}q{tr}mXlvmoqmolvYmXjElrBln¹°U ¸/\[r W[uvuvW¤ r4[
p°CD !B@¸ _ D
)
!+*-,
#!
¡
d Dhdf7d c °> ¸
auvam°C8¡V¸P_
D
)
!+*0,
#! ¡HzM¤jEl«hkjlrmojEa4~=WZ^`lvt\=m moa#UX^ lv °C>&¸]§¨BjEasEUoW[{Euva#^ÊmXjt\_me¤/a
^qtr}mr}WZun&a&zEh\_7{ta¼ WZUX^qu\_mXa~\ZrB WZuvunW¤ rS§
' Y4' .&"' - .& $M !a' H !jI\3-".FG 4 $4'Y. 4'4I ';Y.
0. H &J" .19%¡u,G; , F )K3F-C Fh%&",- °C.!¡V¸
$%)! 4O. ! '", %&'4EJIG .4'- 3"G ;) O4'6y:= W ! y @ )
!-G¢C K9%°C.!¡K¸ .( Y4{3I
°!°!¡K¸o¸y_
D4B
#"
hy dfhW 6»c
¡ d c%$ °x ¸
xWx w
Á&a#afgsEsta#t~Hlv
¥gW¤zS~=a#sta#t~rW[a¡9zrlvthSa`mojEa7HqE^{ta#UWT9³´õr*mojt\m*¤Bah#\Æln^bsEuna#^a=meW[\¹h]jElvs
~=a#sta#|~ErhSUoq|hSl\uvuvWZ7jEW¤Ä^qth]j*^ba#^`WZUomojEajt\#&a&§-Àa#me., {tamojEa*°x\_UXa\ ¸/hSWªr}mWKmXjEaÇ/T
dÊhpWZHmoUoW[u7d 8Rz-\_t~uva#mme
C
{ta7mojEa°x\_Uoay\ ¸hSWªr}m*W_moja®^`a#^bWZUX@sta#U*qElvm7°±¤/WZUi~¾¸]§o<ga#thSa
mojahSW&rmeW_\bT9³»¤lvmoj{¡¤BW[U]~EreW_/^ba^bWZUXl«r7e.,hdie
C
¡9§¨BjEa£mojEaUoarXr}WZqU]hSa*UXar}mXUolhpmolvW[@l«r
a#HsEUoayror}ay~®\[r¡mXjEaEWZ¦±unlvEa\U hSWZ|r}moUi\_ln=m
H°Ce.,dfe
C
¡K¸#1
¤jEl«hkj7lrBa qEln[\_uva=m9moW
Q¡ 1 6f e0
¤jEa#UXa _ Fe
C
\t~ e _e , e
C
§SR qEUsEUXWZ{Euna#^ lrBUoay~=qthSa~moW¶tt~HlvEY*mXjEae[\_unqEarBW_ ¡3\t~;
¤jEl«hkj7^blnElv^lv·pa ° °C.!¡V¸X¸9\t~@rX\_mol«rÑ bmXjEaUoarWZqEUihSahSWZ|r}moUi\_ln=mzElì§aª§
^blvlv^bl¬·#a
O V ,
d ,
r}qE{EayhSmBmXW Q¡ 1 6o e
c 1¡ 1 y9 ;lvHmoa#Y[a#U
c 1 lvHmoa#Y[a#U
°oc&? ¸
ìtr}mXa\Z~WMsEUXWZ{Euna#^Ê°oc&? ¸-¤Ba ¤lvuvuE¶t|~mXjEaea#\ZhSm/rWZuvqmolvW[W lvmir \sEsEUXW_Hlv^\_molnWZMz&lx§a&§W_ mXjEa
sEUXWZ{Euna#^1Y[lv&a#{ta#uvW¤§9fgu«r}W*EW[moaemXjt\_mmXjEaesEUXWZ{Euna#^7r °oc?&¸/\_t~£°XcZc_¸/\Uoaa &qElv[\uva#HmK¤jEa#7mXjEa
Uoa qElnUoa#^`a#=mM WZUln=mXa#YZUi\_u \_|~ ¡lr UXa#u\=ay~zErlvthSalvbmXjElr/h#\Zra¼mXjEarWZuvqmolvW[\_uv¤\#Er/ro\_mXlrì¶tar
moja¼a qt\uvlnm} ¡\_ 6o eE§
^blvlv^bl¬·#a
O V ,
u d ,
r}qE{EayhSmBmXW Q¡ 1 6o e
c 1¡ 1hy9 ;lvHmoa#Y[a#U
c 1 lvHmoa#Y[a#U
°oc[c_¸
x
8R°
B
8¡
B ¸ 3-72.&J"C ;9%('!!J GY4' .& 4¢)'!"O '!4 4O
9%K O}'.&J"V \ .m'!M G 9% 82 . Y4{3I
¡ B _
e.,S°Chy#dfhW 6»c¸
e C
°oc ¸
,G
B _
e., e C
°Chy dfhW 6»c_¸ydfe.,
°oc ¸
X' & GOG H e ,
e C 1
Cy
hy d hW 6»c
S4'6 .F?
¡ B
_hy ,G B _
e hy dfe.,
52(.&J"V £°C
O
!¡
O
¸K9% .ml9%°B.¡2B&¸? 8B .
p
=s 6fe.,
Fe
C
'
u u p s ¡2B
xWx w
Á&a#afgsEsta#t~Hlv
x
xlv}v
Es K-C yY' O .m-X' Y 9!MI °!°B !¡2BS¸o¸ Y4{3I
°!° B !¡ B ¸o¸#_
D4B
e,d e C
°Chy d hW 6»c_¸
C
lÃ
u
u 1
V ,
D4B£°ì y df W 6»c¸
" e C d e ,
hy9
$ WZmXjEa#Uo¤l«r}a
°ocp=¸
xWx w TBbrqE{tr}mXlvmXqEmolnEY¢¡2B \_t~BBlv°x ¸\_t~r}lv^`sEuvl¬ =lnEYE§
6 ¹'/b K'Bb
4(_+9
abEW¤Ê\Z~~=UoarXrmojEa`sEUoW[{Euva#^ W_sEj=r}l«h#\_u9ln^bsEuva^a#Hm]\molnWZM§\R {tr}a#UX&a UXWZ^ °XcSH¸mojt\mW[Ea
W_/mXjEa^bWªr}m lv^bstW[Uom]\=mx\ZhpmoWZUire\yÈÉahpmolvYbmojEaa#Hs¾ayhSmoa~7UoqEElvEYmoln^baW_/moja*\_UXU]\#@l«r7e.,gmXjEa
~}¶|=a~hSW&rm!£W_mXjEaT9³ °ì\_unumojEa7W[mojEa#UmoaUo^7rlvH&WZuv&a`st\_Ui\_^ba#mXa#U]rW_mXjEa7sEUoW[{Euva^ \_t~ #WZU
mojajt\U]~=¤\_Uoa*mXah]jEEWZunWZY[¾¸izM\_t~@¤/ajt\#&a^qth]jbmXWbY&\lv£{H@rlv^bsuvlà HlvYmojaT ³Ä~=arlvY[M§ga
r}aa® UoW[^ ½RlnY3¹mXjt\_mmoja@^7\lv3st\UombWmoja£hSW[^bsEqEmi\_molnWZÄ°±mXjEa@unlvEayr¤lvmojlvmojEa{tW_Har]¸l«r
x\_lnUounr}lv^`sEuva&§ìm*h\_3{tabln^bsEuva^ap=mXa~®¤lnmoj \@hSW[qEsEunabW_hSW[^bst\U]\_mXWZUir\_|~3\_\[~E~=a#UzKsEuvq|r
\ a#¤O^quvmolnsEuvHapU]rS§<gW¤Ba#&aU#ztmojEa*mi\_Y7{t\Zra~hSWZHmoUXWZuKl«rer}lnYZEl¬¶Éh#\_Hmoun@^bW[Uoaa#=sta#|r}lv&aªzrlvthSa
lvmUoa &qElnUoarem¤BW(~=lvHlrlvWZ|r¼^bWH~=quvW\¡9zKWZab^bWH~=qEunW\ 9 \t~3WZEa`^bWH~=qEunW\ 9
,#§¹¨Bjlr¼l«r¼mXjEa
sEUXlvthSlnst\_uÉ~=Ui\#¤{t\Zh]¢bW_-moja\_UXU]\#&z=¤jlh]jbUoa#|~=a#U]r9lvm/qEt\ZhhSa#sEmi\_{Eunag WZU¿ÀRÁ Vln^bsEuna#^a=mi\_molnWZM§
a ¤lnuvuªr}jEW¤3jEW¤3mXjEa/hSWZHmoUXWZuh#\_{ta\[hkjlva#&a~¤lvmXjm¤BW rlv^bsuva-hSWZqEHmoaU]rM\_|~\B a#¤ Å|lvsE¦ÅtWZs|rS§
fer¤Bajt\#&ar}a#a#ôzEmojEae qEthpmolvW[ 7°&('¸9lrhSUXqthSl\u WZU mojEami\_YZY[lvEYroh]jEa#^ba&§9Ç9WZtrl~=aUgmXjEa
T9³zet°&('¸B¤jEl«hkj7jt\[rgmoWhSWZ^bsqEmoa7.R°5&('E¸iz\t~@uva#mk_
9 ,
!+*0,
#! ¡ zM\_t~ k_
)
,
§
¥gW[moaemXjt\_m ? ) 1
9
¡ §9ÑHmoqlvmoln&a#uvªz_mXjEaT9³´õr ^\y{ta¼Hlva¤Ba~*\[rB{¾alvEYst\_UXmolvmXlvW[Ea~ln=mXW
'!C",X' F- .!.&' .pzZW[Ea¼ W[Ua\Zh]j7hSW[uvqE^bô§K¨BjEae¶tUir}mT ³´µrhSWZtrmolnmoqEmXa¼¿²T¡°Xc_¸ §#§§}¿T°' 6c_¸
\_|~@¿T° 'E¸ hpWZtrlr}mirgW_/mXjEaT9³¡´µr# dÄc[§#§#§ d 9 ¡H§K<ga#|hSamojEa*stWZln=mirgmoj|\_m\_UXa^7\sEsta~
moW£W[qEUT9³z5 d \_UXa\_uvu9 UoW[^mojEa/'&¦±mXjhSWZunqE^bM§£¨Bja@r^7\_unuvarm &3\_^`WZEY£mXjEar}a`s¾W[lvHm]rl«r
° ,6»c_¸ ¡ _ &°xro\#t¸]§
½EWZUrlv^bsEunlhSlnmì&zH¤BaW[EuvhSW[tr}l«~=a#UemXjEa*h\Zr}a*¤ja#@mXjEa1#!ì´µrg\Uoa*^qEuvmXlvsEunarKW_ ¡ §ìm lrgay\Zr}
°±{qEmBmXa~=lvW[qtrk¸ mXW¼ WZUX^7\_unuvsEUoW&amoj|\_mBmXjEarmoU]\moa#Y[*¤BW[Uo¢r lvmojagY[a#Ea#Ui\_uMh\Zr}aª§hR {tr}aUo&a UoWZ^
moja¼ WZunuvW¤lvYbuvl«r}m#ztmoj|\_memXjEa &7[\_uvqargW_/mXjEa*ra#meW_/stWZln=mire\_unuvWHh#\moa~@mXWbmoja*T9³z0 d#Mzj|\y&a
moja² W[Uo^£z&hd 9 d [
