ods do present a practical difficulty here as they may have b een used to verify correct functioning of other methods . This leads to consist e ncy ch e c k ing - in.
!#" $&%(') *,+-)./ 0. 132 4/57698;:=@?BADCFE3GHI8KJMLONQPSR EOTUN.=VHXW>6YLOHIHICFE3Z-=@?BA[GNQ=>\7H]=VCFE^TNQ=`_Ya*bcK8Kd9HIefeBC g hKi i XjV{DkmlnlmiOkmzoqp>il3jVkrsjVp`kmoitu tuvxtuw>i i!jVkmlnk3vu rsjy{Dtoqp`{Dlnj]z|{}kmvutxp`ijkn~ lmp>lnjFpyvu!^im mvxjXjXw`wvujF@iyi lmkmvujFi zwX
i i jFytvu`{DjXi lnXmvkpDo7`>i V¡@km
yi lmjXknXln{`txknvln{ {`txv{F
i z|{Dvut£¢|¤B¥@¦@§y¨y©yª@ª«¬F>®F©>¯>°«B±&²D®@®I³>´Q«µFD¶V·@¶@¸y¹V©@©/ºf¦@»yº©V¨D¦º}¦ ½ Xlnypy iz|{DjFvuvut£`¼¢i ·Xyln©`mvx§ykpV¬y`p>¹@
t©`½ pD§yFo¬9l$ ºqy±XjFpy¦yw> ®yvx jF¨yi ²FiÁÀln°vxjXºFwX©>¾À¨>
¿D¦9 Fº
y}¦ Xknln{`txv{ ÂÄÃÅÆ ÇÀÈXÉDÆ y ioqiioqjXijXi#i`
.p`¾oÙk `9@{`¡ lmi3n{} oqi@k¡D k${D jXXÄ{Dl$ln i VF vulm i zi jV kn Ki >lm i¿`ij¿ ÍÓ$Ê&ÎÚBËËmÕ^Ì3ã ÏÝÞÍDÕÀçËÏËÎÀÎÀÚBÏËÏÎ!Ì3âÞУÝáÑqÓ$ÝÞÒçäÀÓ$Ó$âÞÏâÞÔ£ÏåÔ£Õëå äÀÔ£ÖУéÏË$Ð.Ì3×xÐÙУØ.ÔKßÀÏÓ$äÀÔBÚ£Ó$Ï/Ï^ÔBÔ£ÏÛ]å ÕÄÎÀԣУÜËÏÝÞÎÌ3ÎÀÏÐBÔÏÏÚBØ7ÔæÝÞÐBÎÀÝÞÏâ Üà`ÕÄËß}çÎÀÓ$Ëâ Ô9åÌ3УäDÍ`ßÀÏ ËÏ^ÎÓ$ÏÍDÔ.Î!Ë$ÚBУУÏÔ3ÏâÞÎÝáè Ó$УéÀäÀÝáÓ$ÝÞâÞçBÏ/âQê УÓ$â åË Ô knkn >vxi lnlnijX¿`tu{D¿ tDFX lnlm{>pypyyyXX¾>!¾!k¿Uk7lmlnlnii i VVVFFFvxvulnlmvulmii i zzzi iij>jVjVk$knkn3 .{DrsjXj#U!ìp>¾>jV¾íp`kmopDl$o{`k k
vupV i 9{Dlnii lniF i lnp Ð£Ó ßÀðnÏ/ÑÙÍDçËËÌ3ÝÞÎ!ÍDÐ&ËÔ£ÎÀçmÓ$ÏâÞÎÏQУÔ.ØQ×ußÀÚ£ÝÞËçfÌìß3çØQÓ$ßÀÎ3ÝÞçBäDßÏ7УéÀßÀÔ£ÏsÏåíÕÓ$ÐBËÚ£ÏÚfçÓnËУÏQÎÀԣУУßÀÚBÏ7éçÕÀУÏÏÜÕVÚBîIÏÏQïàУÏË ÍØ7ÚBßËÝÞÍDçfËßÔBÓÏ Xi !nk#{DlnjXi VFlmvuilnip>zFilnjVikn ln
i k V Fivulnlniizz|i{`jVvxknjX Fil|{DlnivujVkmilnjX{`t9Xÿlmpyÿ çÏËÚ£Ô7Ì3УÍDË^ËÓ$ÎÀÔ£ÏÔBÎ!ÏÐ&ÔBÔQß}Ó$ÐBßÀÔXÏKäDÏÚBÏÝÞÔ£Î9êУË$ÏÔ£×IУéÀÏÕVÔBÝÞîIÎÜñ.ßÀÓ3ÝÞÔFУßÀÔ£çmÝÞÚ£Ó$ÕíâÞÏ.Í}çÓ$Ó$Ú£ÎÐÙå^äDÏ.çËéÀÌ3ÔBÏÍ`ÕËÎä!ÏåÎ!ÕÀÐÏsî ã!Ö ÏÝÞâÞÎÀËÍçÏÑ 3ÿ ;¡} >¿ rsjXkmmvxÿ kmyknvxmp>ÿ j.|
.ÿ ¾` F lmiim9lmlnv Ivkni vu kmiV k$ {DjFjXv XV{DFl$i Ð£Ð£Ó ÏßÀãÔ£Ï Ð£Ó$ÝÞÐBÚ£ÎÀÏÝÞÜÏÔæÐÙÐBåÝÞÔæÎÀÐBË$ÚBÜ3Ón×VÔæÐBÐBÐBÏÏÚBÜÔ£ÓnÝÞÐQÏÐBÏÔÔæÜÐBÚBØQÝÞÏÓnÝÔÐBÐBÏßÄÔ£ÜÍDÝÞËÏÏéÀÔQçÝÚ9Ó$ô}ÚBÏÔBÏÕíçÓ$éÀÝÞâÞÔ£Î^ÏÏîÄÕVÒ&ëÀòÙÚBÎÄÝÝ ÐУÝÞУÔBÝÞÔßÀßíÝÞÎÔ3ÖÏÐfçÍ}Ó$ÏÓ$ÎÔBÍDÕ}ÔBÏÓ$Ó$ÚmÚ£ÚBë]å3Õ#ØÐ£õ$Ë9Ï^öç÷ÏsËønóÚBÑÙÓ$÷3Ú£Ì3ÏâáÓ$ÓnÝÞÎÀÎÀÐBÕ ÏÏ oqp`p>i o lín¾ kmúi k$kà{DkmjXl${}{>Fkn{`iilnw`w`vui i {`jFUioql$p>{}vxl[k-knvxyp>{Dij.tutu>
p iFtup`F Fk#vu{ jFvu#w kni kmkmivukmtui t k$l Flnkmvxpz|rfk[{D ln i vup@tx`[p>imj {iúFFp`lnlnjFpp i Ô£ÖßÀÝÞÎÀËmçØÏIßÀØËÏØùâÞ ÑÙäDУßÀÏÏsß}åíÓã!Ú£ÏÏÕâáÓnéÀÐBÏ/ÔBÏ]УË$Ë×ÀУÚBßÀÏÔ£ÏËÚBéÀÏÚBâÞçÝáÓ$ÏäÀÔFÝÞÝÞâ ÔyÝ ÐÙÓ$åâÞÔBâÞË7Ïsã!ÓQÏêâÞÔQÏsåУß}×uÓ$ÓnÐçsÐBØËÚFÏ ÝÞÎ/ÍÀÚ£ËËã!ÍDÏËÚBÔBÓ$ÏâÞî kn@p-vyi XÄmi{`j {`j p`Fk jXi mIl|i km!iv X ijF v VknFi i 9jFviVFkmvuiùp`j {`FknFp-lnp`{DFtutxlnp v{}kmi[{Ukmkmp ik kn iil ÔæÚBåÓnÐBÔæÏÐBÏÕíÌúâÞÏsÚ£ã!ÏÏâÞâVÝáÓ$ØQäÀßÀÝÞâ ÏÝ ÐÙÎíå!ëÀÚ£ÏØÔ£Ï ËéÀÍÀÚBÚBçËÏ/ÍDéÀËÔBÔ£Ó$Ï ÜÐ£Ï ß}ß}ÓnÐÓ$Ô7Ó$ÎàäDÏû Ïü Î^ýã!ÐfÏÓ$ÚBÜÝ ô}äDÏÏÕÓ$ÐBÕÀË3ÕÀäDÏÏÕíØQÐBËÝ ÐBУßßÀÝÞÎ Ï mFpD{`oÙlnk 7{DVlnikn{DIkmii vuzjFwi jVkmk/iknp}i `i ln{D{`j]w`i/{DFkmvuItxt7i {`!p`lnQzkmFp tu]iK3k vx k iKp>k jF txi#^knk$i {Dj k vujF wÄioqikmjXl${}i`km
.i w`¾|`@k ¡>
{}k v3h9F#lni
Qn¾ !`lnv ]Vi
I vuj@{Dr j@}rp`Kk i
l¾ k$V{D¡jXXF{Dl$y k Ú£ÏÓ$ÔBËÎ}Ó$äÀâÞÏ äDËéÀÎÀÕÔmî þ@pDÿ oÙk {Dlni jFw>hKvxp>jFzi iIlnvxp`jXjXwXi
FjV@k pDoÙ k i {DkmlnvujFi w]3
ituhKvu{ p`Fzvutx]vxkp> jFijVk {`mi vxkntuvxzvxkn{Dkmvup`jX{`lmi 9itut @jFp 3j k
p{Ä{>mmmpDi oÙkn{Dk ln iàiylmiv>itup`pDIoi]lOvujFjFiwùiF{[Ok {Ä vulml$i txv{ XF{DvulmtuvkkU!vujXp`zyi Ip F j
i V j ÆÇ 7É`Æ {p`}z{DFtuFtui!i|kmik {}ykàkm i{Dz j ]i vxijXmknii lmkmkmivujFwÄvujVtuikm`p[i tu{lnk vu {Dk z9pyi#yFi lnt/p`oqIp`p>làm{i {kDhK j p`{Dzkiz]{Dvup>izjFlnw`ivujVknjFk pw!zp`{`zmii k IM p>pym@yi3pDp>{DoÙtxk p>Fw`F{Dtuvlni oq{}p`knlÄ vxp>jFmjXpDw> oÙvxkjX3ivi{Dk lnln vui jFFw FtxXifw#`h i {Dtx3p>jXyFzFit{ÀjVv k vulnji k p` w`vjXv ]i {DIki lO{}{`kOlmi#kmi Fkmi vumjFvxw>w jFvui Oi knypÄIiFjXlnmp}vxV>viyií{`jXk vuk {Dk^F}l{`lmnvup`{`Xtxi p`oÙk B9k {`i lmsi !ip>txzo O]vxp>jjFi{|jVoqknl$ {Dz£!i X9p`kmp>l z FX vxtxvuk-OXp`{Dl l${`hKFp>vxw>zzzvi ln]vui{`t zlmvuvxkmjFi i lmv{ q{}i kp`tuijF>p>iztvup` o7knkmi vuzkmivujFwÿ vu ]3knvuv txXt i]iÄoqp`]li{`jV kmp!p`yzikmIi p l pD!p`o.zi vu`jFi wàln{`vujXtVXlmjXiy{`imlnvxjFtuVw>vutxjFwívxzkni I p`lmjFknp>{`txj>p>k9w`vup i 37vxk jX wí{}kKkmp#mFk F Ii^p`zlmk {DFkmFFlnvutuvxk jFi jVk {DF]3{DjX ùi @ `i l {À`i!t{`nv Xi|kmiknvxjXwkml${}kni vxpDjFoQwík !p>i mzií]!p>p`jFzijVIknp`jF{Di j]jVkn# y ih >3ituyp`FvujF{`w^nm{DFFzFi tuv9{}{knmvxp>p`jXFl$!oqlni^p`pDzo7lmmi i!txk$v w>p@vxiF i ]{`m{Di X Xp`j {Dj]k iXi{D@k >ilk$
{ ¾ > iVjì¿ k lnp` Fi w vxl {Utu{>mmmi v Iknvxp>{}j-knvxp>p`j o p`F{ FjújFtuvxikkmvu!kmzp>i ziùkmvuInjF{Àp`w`jXiioqlnjVp`knzvu j ¢QFk ln lni pyiÄfXymX@i !kmkmXvui Vyz vxk kàtup>vwVjúoqi{D!vuk yjX !/ituiÄy{ i {DF]jXvui txùvxjXk-lnijFkntuvupDpì{ k Fp`p>vxztujFvxktuvx k il${Dy j {`i #z kmvxjFXi ilmkmp}vu>jFXiw#{}Àk {`km l$lm{}vup`knoq]lnip`w`z vui >Xvujÿ Xk z i Fvxkml vup`oæ{Dj[zp`lnovxituàt}{}{`knp`lmvxo&vp>{ jXFkm l$tu i {}vx9knXikn w>p vxi {>vÿ w>jF{DijVvujXkn 9yz|iI{Ài jXIìiíp`kmjUlnXk knii y/i rfw`o/lnimp`i|zknpiíX{D lmvkn p`FojF{vxknm @ækmi p`z z]{Dplni p`p}`l$yil$vxjXwp`kmjXpOtxk {|ivu`l/i lmlmi tu{DjXkm{Dvu`lniKlnp kmlniXjX{`wDjXk pDokmp l$9{}knii`w`i vulQi k ¢ v9 iKp>Il i jFjFpDpDk/k F3jXlnFvxkikmli j k @i#yk vxlni i!z k !p`k jViknlmjp>ktV p`ioImyjFikniizYkmpyi `{Ài `txp>i3]{i lnz i {`jXÿ kntuvxpi `{i/k p` z{}k]{ p>jF3ivjVyk3ilkn
}i k$km{Di jX F@{` lní{`njV {`txi knln]{Dk km i{Dw>k {DjvuIjFiKi{DiyXi F txvui pD!p`oKjVw>k$i{DjFvujFi lnvxjX{DwkmvujFk wi{Flnj vu@ jFp z3pyjyXit{`loqk$p> lOk i|Xmip`ok i|ykmiz ½ i {Dj@ vup` k {`i llmi lmXi {`txvm{ i X vxtuvp>kjioæ{DX]ti k|iyjvmFp}lnp I > p m vxp}jF`w il `txk$k ¿D{D jXp`XFF{Dw i l$ jVFkmk p` jilnX{Di j]ivujV7 kmjFp> p^j i vut£{D
Qp>j]¾ l k$`{D w>i/ivu]pDt^koXlm mi i pD]íoÙkp>Flkp{DlnjFyi/pDvnik7!jFFp}w>lm`vxp}jFi @lmi vuvijFyl wi kki lmi iOmj@lni{DFzkmz ii! ]kni lmùvlKpDi o7i{Dl$lnln{ ii V{D{`FFjXvulnFyi lnv.p`{DXknj]lmi v{}knknO9iF{DoqXlnp`i ml !z|ttu{DX{Dlnyj.w`iO
ioq¾mF`ytu txÄknikmz|i ½ kmvup>jF wki kmlmp`pi o zà~ XX i i w`{`inlvikk${D{DjXt x
.i ¾k` iy#
F{DilnjViknXp`lmjvuz|{D{DjXln vxtuO i XvxlmtBpy
.!¾i`m 7k${DFjXp>Xl/{Dl$i F {`jV v ! lnv3knivxlntutvxp>vuj jUw`rsi j jFk i l$v{D t KIp>i|l zà&
]9 iíoqp@z|X{Dtutuip`ljFjFp`vxzknà]pDp>ojFi!jVpyk$yi
X{Dz{DlnFi tu i`
3F i jVykmp`¡}j {DjXà {ù kni{`vut jXFF{`ilnjVìknp`oqjp`l|{DjXF X i vxtB{`
.vx¾l$` 3.vxk p` z { knmpp`zi v p>mvxik^jvknXlnln{D{>kmi kmw`v{`tQknp {> vxi `iľ ` kni kmvujFw 3vxk ÍDÏÊ&ÎÀÏËçÚÍ!ÏåÓ$Ú£ÍÀÊÝÞÍDÜËßÏÎ Ó$Ð ×uÚBÏÏÚBç ÕÏÎÀ÷ ÓnçÏÐÐBë ß7Ï^Ê.éÀñÖÀÔæÊÐBØÚB÷ÏÓ$ÎâÞÝáÐÙÓ$å÷ ÎÑ sFë Ê&Ý ×íËÐBÌ3ß ÏâÞÍÀäDé ËéÐBéÀÔ£ÏÚBУÚ9ÎÚfÓ$Ï!Ö âáëË Ó$çÔBÝÞÝáÏsÓ$éÀÐÙÎå!ÔæÐBëXÚBÊ&òÙÓ$ËÎÀâÞÝáÌ3çÓî^îÍÀé ñ.ÐBÊ&ßÀÏËÝÞÚÔ ÎÖ ×xÍ}ÏçÓnÚ£Ý ÑÑÑ yi X jFpDvxkmknvuip`jk oqp`{Dl#kÄkvxj i|k knivu|lnz ]{DÞI!p>izl
]9p>ijFi{`jVyk p>u¢#ykvxkà{ij]`!ip`lnz XF{>lnmp>m{>i ÏÎÀî çíÏÔ ÝÞçfÝÞß}ÎàÓ$üQÏâ ÏÔBÏéÀÓ$Ú£ÕÀçfÔ£ßàßÀË Ó$ËÎÀÚ£Õ ÎVë`]ÛIÚfÕVÓ$çsîУÝÞüQçÏ9ÏÍÀÝÞÚ£ÎË ÕòÙÎéÀ×uçsËÐBÚ£ÝÞÌËÎÓnÐB×xÝÞËËÚÎ#Ó$ñyçÓ$ÏÕÀçfßÀÏÌ3ÎËÝÞâÞçËëVÜ$ÎÀåË$ë ÐæIÑ×xËËâÚ î kni vx`p>ijXln^Vk km p[vujFwOp`zvxj]k p> jFi3imjV]k$i 3knlmvFk z {`oqlmtxt p>zk iÄF X{DlmXi {DFFvx{}tuk$vxkm{ vuXi p U{`noqmFp@j] v {Dkmi 3vk k ikmi lmz 9FjXyi txt.ik{Dt x
` ` > `{ tup`jFw ÍÚBË$ôÀÐQÍÀéÀÚ£ÍDËÔBÏÔ7ÍDÏÚBÌ3Ý ÐæÐ£ÏÕOÍÀÚBËãÝÞÕÏÕÐBßÝÞÔQУÏsó Ð7ÝÞÔ.ÝÞÎÀçâÞéÀÕÀÏÕVî
B
F(-C wJ G
4 . GV EA AB
-
&!
$
' ( ,.
"! #
4
9
/
0
1
=
>,
A
B 0I
9$
,
>@ N OJ
(-
H
0B @
`_
XW 9U QSQS 4\ %]
^U
4LM '
Z
K
¯
°B
+ - )
3 4
?
,
«
3 M E
3
,
¨
-
-
:,
>,
EDGF
J 3@
2 !
#!; <
,
>,
Z
3
E-
3
G
5
~
«
-
¥
,
3 -
bA
©
-
2
.H
N
=
9
G-
y
3
N¡C! 9
G$
"$# l iu ±v 1s>i.v n n{m|Kiu ±vM ±ien{z ittk % tv k lr^k n1tlh{h{h it'&)(+*-,.* ±k n h{vk r³n{(±it|Ki/lQitn.rlv { it|Kzuln{vtpvr8pQ ±k r³0v}Glm4021.3 (5461879(+:.; |Kv (±k r³~±in{z ittk % tv k lr0suk ±#vr8p mn{ith( neh{i>=Qmk h{it|Kitr8 n´
Fkm{Dl$kn{}½ { kni{Dmw`j@i!vuùk$i ¢SFrsv jXoqp`ikml[lnvxikmjViFFkkm{Dvup`zzj.iF
7k tu¾ i``py
F3@X{D{`¡DlnjX i|#`X¿ {>FiFUQtuvukmkpùKkn-pyzi¾ >úp>ilmtuyp`i vIkml$vukmjX{Dijkk kniyi >p>Xz kmvxvu}jF{Dknwúi tuikmj]kmivu!jF iw-jFtu{Dv {>>j]mX. i {` {jX{Dtuy{} kn{ ivF w>¢Itup`i vulnj# ¾ìp>oqlnp`vyli lF{`lnkmtxtOvxpOz|pDX{`k mlm i vuitxvlÄki XX {`i Fm!i tukmvuMvu ` ip>i tuj p`3k vx k i l#i kmViFvxk}{`w`txi i jFjXi!l$i{}kntuvx{>p>mjU kmXi{` m i jFv >knXi i jFzàv VXFi k Irsij!mp`i lnlnknivxtp>{}j kmiX
9tuiiO>ilnti3t{}vxjknip>{DFtult&kkn{ Fi^tukmi i 9jF v VyFii mlmtuv vuFkmvujFiw|vxi j {> 3 Xp`¡}o7 k` ¿ p>ímiknpkni k i jF!v p}V>Fii lníi vujù@kmilnkz| i zpDoK
&k{D ji|{>i mVmi Fnvx}p>{`ltxi jX{`!ji|ln!i t{`{>nymvui tx^iyi!kni i!lnkmzvu`vuijFtui kn{ùi txi kmi ` i tK@oqlnp`iz {` p`Fkmli kn { jFFv tuVi Fki {}kÄ{`FFtuvxikmpU{p`zIp`jFi j>k Å Æ £Å X{>vxmk K {}k3k {Dij@i Ftxi !`iFi t£km
@vup`vxk9j zpDXo kiX>{>imt3KF{}
Kk3oq{Dp`tulÄt]tu{Up Ki p`lKztu]i>p>ijFtijV{`ktumkmp p kmtxiXl$`{}Fi kni t/iw` oqlnqp`oqp`zÿ lnz|k ! ÿ{Dvt K{Dyj]i |p`lmjXvuv}kkm{}vl$km{Dvup`IvujVjp>k noq]lmv ip>Fz tu{`i3Xkmlnpi iV{DvFk9lnvuw`lmvuFi zijFkpDi jVk{Dkn{^kkmoqi p`vílnkmz|vui jF{Dw t ykmi l$lm{}vu}knvx{}p>knjvxp>k j {Dz|k { {O`Xi 3lmp>kmw`i l${DkmvuzMjFw vutuv >ituví kmp vuOI{}ik p`Ilni lmikOk{Ä.ylmi izyFp`jj F{Dk{`jVk i `i t FX
{`nà {Dilnk#iàtxp vxk^9zilàvuw txi `k i]tiv#{`nXX{`zlknvuiFtk {D ln{}tx[kíp`lnijFtuiài}km{`ij>kk m iÄ`i !t7i¾3oqp`vxltuttuiij]w>{`FtlnvuiOjFF{ymk$i!k¢ÄpDk o7 i lmvxkmlmvi >{`XtXvxknlni izknijV{Dk#lniknpvujXX!tu{>Xmyi{} k rf|k{D{Dj]tpz|tx{i{D>l$i 9Fk à imp`lmzXtxi9i9yoqv Äp`l{`Fntknmvxvxiw> jFIvxjXi!wk 9l$i{}i knvxj jFwVi `!i tui tu {Dl{Dj] 9{ Fp`vxFtuvxtki ù>iIknt3iàpù¾|lnviyvw>^i {`j>k lnkn Fvioqi txp Þ{`9!lni vxkmkmvki {Dtxkmi ti`7[ioqt F{}jXk^{Dk {Dkntuvxtp>jXvrf k^ oqlmlni p`{txz vui p`{ùzFImIIp`p`i jjF!i v {`j>j k Fvu jF{}FFkmk3vuyp`{`k j jX 9vuyk kmi ijVkmk|i vxoq`Äi{>t txi iyw>
K{`3t£{
@vxk vukm txituitxwVkni i{Dw>lt.{`t{Dzàj]vuXjFÄFkj@yFk$i tuFt{D3Àz{`vututxvutXjFi i 9{Ài>oqp`{`i l9 Ik ivuij{}j k vumjXF!lntuiíXyk i{DìkO{}vuktxtuitxwVi `{DtQitO}{`¾`tx
/Fmipp`k o vvx#jFXtuiy>kni^t9{D{`lnFiíFkm#l${DkmiFIk$i #[k vxj{}kkni ij k vu{`jFjXw ÄS v niti l kn{Dvxp>lnjik z i^i m vxz{DjFFvtumi zk 9{ÀFlmkmp}p@v{`y i -vxi oq`p`ilk hO v
9 h i Fvu jF{DlnwXp}@{ { vuFF]vxitup@vxk{Dp>j|txiv.{Dvuj jÄi F{>XF{`vuvututlnk{`zFzlni i!p}km@i vulK{`yjFi{`ívutxmp>zvxjFjw ¢t{D3{jXvxw`k vuXz{`Fw`p>tui iz oqiOFzjX !vui km vup` Fj{`p3jFknvujF{ mpDz k oqFp>lnlp}@!vup`FzvxjFFwvututuvxp`jFw>w|w`vxvukjFwXp`F
Vkk${` Äkml$i {` vxjF½ wp`{DlniíjXitp`{ k I p`i l$lK{}knXiOmi!>oqiXl$t]p>vup`yjXk FmiFlmkàkà{D!lnt{`in{Àí}oq{`p`vxl t{ >F{Àtui`}
.{ oqp`lii i#F{`{`jXz Xtxi>
{Dkmii l$iÄ
{D¾ jX`ù> U{}km i lnvx k Q Op`y k {`j-i`{`i nt yi l¢knvxkp> jUv z3ivutx tO{DijXjXvummzFln
i{k !{Dp>kz!]p>p>zjFiIjVp`kjXi jV{Dk jFjXypDikvulnw`i jF{>i ln ki w>zi{}jFIkÄi i ln[oæ{D{`kmFvuijVtxvxknkmtuÄptuiw>vu!jú{`pyt}yk vxijXiFi y!tknop>sz Iip`vjXV vuijFjVKw k p>|zFtuii^j@ F@{DlnvulmpyjXp>yvujFmXz|zi/ijVFknkpjXyi i{`jXXjFmjFjFFi pDlm ik I{|i m ]{Ài@!vuv p`]FlK{Dkmvvuo7p`jFjpDik9ykmvl${Dk$F Ii v oqp`vu9tutxp tui`i tIk {`tui mp#Þ!vup>zj>knFlntx{>vui Kk yk jF{}p k knp>vx]p>i jlnp`o.½ i iX`{Di l$l {}
&knvx¾p>`jV¡ p` oI{`lni jXm]p>jXtxim{Dv Flntxvutuvkyi pDXojFXi mik l$ i{DjXlni mIyp`i `jXi mtv kFp> zvutu{}vvknk/nvxiknvui Qp`p`jXkmo@iKl$]vuji knlnklm@ivu3jFvwík I kmi plmiv ln]i I {>{}i kn! vxkQp>knj pi `tui iFtw>jX{`mtDI3vujFi vu!txFtFv yXvk$yi i j>Irfknk7vi oqvQ{Àz|tu@v `vu{Dp`ij@Ftu l oqmp>vxp>l jXFjF3tuvuv tx>t]ijFtu iiVp`l kmp XIjFilmilm{`imp`knjXv X{ iF tui ]DivujFoqp`Flnyik${ /!p>ztxtImp`XjX ijVp`kz{`v j X{>m{Dk i>it IXp`i l-rf{ÀkU@i Fvuvp`U{DFzIl Fp>vtunìi`
v Fyvxtui ji XjFknVip {ÀY}3{Foq
lmp>vxl-kmp`i jF{DiMtu{ tÄ!Ip`Ip>Xi ntu vv IFtulni i{}VknvxvxFp>jXvujFlniyvuk-j k }{D{Dk tu Fvi{` j {p``otxª@vªVk kn©` vu¬Fiy}mª {DI@tui F®V!i¬Vv ]í¦` ±&pD{}©`o3km§@vu{Dp`¯ jjúIvxjF Á} X©`p y·@k¯Iij}²`rfk §o3 v{vulmkmk vup w` p>lmIplmip>3Xj-k O oqii p`Fl| {D{`z{Dmtui`vutjX
F{}k jFkn vxlnp>ii jj jF{`txp[toqF]l k ii lF!kmi iykmknvuvxp`jXj]w[ vu9p`jFXi tui yijXUii km[pkm{>p ]vuii`l$i {Dvii>i{}t k y
iF>yik t Ftu¿v ! p`lnp`kmlnkmi i i3kÄk k {`p {}lmXkw>txFvuKw>zi{DkmiyvujVp`vknjX kmvu{`jFpDjXw`oFv{Ui |F!!p> i ziylnkmIi vup`p`Ij]jXi! ik jV9lnk|i iViXFj|vui lm{>lim mkmipì@lmkmmvup`Fk jX i m]i!v ]{Dkmvup`j ni lknvxp>jX{Dj ]ilnizp}`iUoqlnp`z Flnp *
L
B
G
y EDGF
-
:1
?
[
@
J
!
-
¨A
!
G-
(
*
3
B !
ED
y
+A
8, 4L
9
8,
2
4L
'B
^
2,
u
@
L
4L
2
E!
9 ¤ '
GF(-
=
-
%
-
eA¥
2
-
Z
4L
-
4
4L
A ^
!
7
3 ¤ ¤
/
[,
®
-
G
¤ [
JLK
2
A>- >-
2
3
FD
IH
G
-
¤
+ C
A>[
F
!
¨
3,b
!
X
1
BACA
-
.
y
-
@
!
9
' ¨
M
:-
2> 1
4L
`
u
y
~ G-
!
-
9
V-
1 1
~
V4LM
G
-
w
8$
+
3,
[
= # 2,
/
!
=J
bA A
0
^A :
*
*
!
/ ,
-
w
1
!
!
` -
E-
L
!
[
G
©
>
0
-¨
GA
3
G
EA tA
!
y
1
3
p`iknm{DtulmtuvuÄykmFvup`jVj kmikni ~/~/{`{`nniiknkni i kkiikk vuvu ii @@i i lnlnvuvummi i 9l${DlmvxjXkmFvp`{`zt.txÄ{D] { Fp>vumtxivxkmjvui z ik pyF k~/hK {`lmvvxnkmvi!p>{`ztkmi ]{DkKp>XjFm{ ii!FkjVvxk tu]vxkmK{`vumi p>i íFt p` jÄp`IFi{`tjX i{Dz Ituy]iivvFyypDi i oj> knl$v{D]jFi w>[i /vujùp`ok vxjFiXyIkKi X{`v Iln{`{}zknvxi!p>kmji ln{`/^{`jX@vxkn{Dit7j@Fkmp zk i ln{Dikmp>vup`]ji lnpD{DokmIvup`p>j[np`v Fotu{ii mFy!kni iyzkmvup`vuj]j v v ik 3vxtut.vujX!tuXyi ¾ 3{}ktui {>k3p`jXi^}{`txFi pVi joqlnp`z k ituiwV{Dtl${DjFw>iOp`oi `iln|vujFFyk]{Dl${Dzi!knil
3{}ktui {>k3p`jXi^}{`txFi pVi joqlnp`z k ivutxtuiwV{Dtl${DjFw>iOp`oi `i lm|vujFFykOX{Dl${Dzi!knil Þá¿¡ ½ FFi!tuztui yp`¢ kmlnFvu p`p>jXl3 i i ¢/{ {>y {>¢/ vuMjFFi kmyFi k3ikmoqyvup>jFknl wvxp>kmjp@ p>vuvj t k {{`i# j@ImFIitut.i i !j}v {D]Xtu F{}iikmÄvup`{`knjpÄj vyIiilnz{`vvuyp>mijXi jVkmknvln@X{DikmiO{}
Xkk { tui i#km{>i{ Xk3kmp` ijX{`jXiOmi^i^kni vup`jXokztxX{>i Fzi i 9p>klm{}txki{ j@yF tut.}{DtuFi ivuKVFFoqp`vujXÀlny{`z|i txi X{DjXjFt7!ii iK V!FtvuF{`Ànp`{`l9txii p`jXFvx!j]kmi!Ftu!yXtk${`yniK
Vi{DVtu{>jXFm{`vum}txi y{D.mtuipDvu jXoFvutxiO{`tuiwVtu]{D{>t`mi m}ii j{`/txFvujXip`QjXtxyyX]i FXikmjFii iFoqvxip`jíylOknk vxip>>iKjXimKlnI{`i jX!vujFv ]FpD y{}k kíkmvui{Dp`l9jXj#i{`lnjXlnp>p`yíl kmoqFp>p>Fyl kOkmFX F{`vknlnK{`p`zzlKii!kmknk i {Dl kmp@i F]p>li vuvjF{À @Fvxyp>{Dk$Flnil
jF pDikkjF i{`!mii m9n{Dvxlnj]vx!tu|tuXlnyi i Xikmivuj}{DtuFi p`op>ykmFFkX{Dl${Dzi!knil$ ¾ 3{}ktui {>k3p`jXi^lniXlmii j>k${}knvx>iOp`o7i {> i VFvx}{`txi jX!i!t{`n IpDk vxjFXyk{DjXp>ykmFFk
FtuiwV{Dt.{Dj]vutxtuiwV{Dt}{DtuFi ÿ Qÿ ÿ À|ÿ ÿ ÿ `ÿ m ÿ ÿ > ÿ ÿ ÿ mÿ ÿ ÿ 7ÿ }ÿ }ÿ ÿ jXimFk|lnií{>p}i` i ln{`{Àw`>ii p`Io7ii i`j iln Ä p>Fmlnip`j-w>lnX{`z vujFwk${}k kmi iz!ilnjVvknk ilnvu{ù{}k i>it {`jX-{`j-{Dyknp`z|{}kni Ukni jXv VFi {` Iiij Xmi knp i Þ¿ hK³p}`iUl${DÁ`w>²`i§F¨vujX! tuX´}y¯Fi> ¯yz©À±&v©`mm§yvu¯jFw Fl${DjX i k${}kmi zijVkpDo7k iíoqp>lmz¢ @vx{`z9vu{ tu{`lmztu`vu
Fn{vujF w 3Fvk$ln {` jX k$ {}ukm¢7i vxzk3ivu jVk i y3i vkykm{Dij iz yikj Á`F²`i!§Foæ{D¨XvutkoæX{D{`tli k {>i3k3{z{>vnivujF w p`FFl$t{D|jXz| {
>ÿ i#Á`²`§F¨ IpDk kmlnFií{DjX|oæ{Dti ´ÁD»X´`³À¯I© ÁÀ°(´}¯F`¯F ©À±&©`§@"¯ !# ÁD& X´`©ú¶ (´}¯F`¯F©À±&©`§@¯ $% ¿ rsp`hKjFjXp}F`yi^ik$l$vuj{Dw> k i p`i#F{>t p`]F]i l$i#miiOj p`{`pVo7 kn i i vxj i km`mvui jFX w {}k k {Di kO`i |t i}{`{`txjXX{Dkmii>iknlnpÄ&y
yi X¶ jX{Dvknj]vxp>j {B]}{DiítuFXi {Dk vxvj k v3i#jF!p`pyk yi p`{>l ¶ ]i iji yi ykmi{}k3txi{`k ¿ Þ¿ ` i lmv3|tuviy`i i j>t.kn!v Ip>jX{ Fvtuyii Xlmi{}k vuzk Flnlnp`{>Fw knvu {Dk tI oqi#p`!lpy{`ytxit X y{>k3 k ] i i#ijmvuzi yXitx!iyknki F vui @i i iíp`jFopDknp@i Fi hKp@Fi#yilnvx>i V Flnp}À{ FtuÄ!p`lnlni k9oqp`lnz|{Dt&knln{`jXoqp>lmz|{Dkmvup`jÄoqlnp`zj { Ftui|¾`¢ 3i txv{ Fvutuvk {Dj @vujFw|{DjX i kmvujFw i>it Å Æ y{DlnXiÄknjFvxp>ij>ilpyw`yiijXvxiol${}vxk kmi {` @ùIik i ji m yp 3knij[z k vuj {}kívxtu txi v w> {`t{}{`p`txFz i )( æÆ ]il$p>{}jFkmiiàjVikFv!i yikmz vup`IjXi Xyzi i jVkmvup` jFiilni {`vxj[k k$ {}iknizIii jVvkn] {}kn vxp>v j zàw`Xi j k rfj@k#Fzv ]9i p`l.lmpDk o@ kmijFpDk$kn vxjFw vk {}vuk#Qtxknvui jFikm{DvujFl.w[vují{}k k ijVi`Xi z t Iil.lmi p`Vo@FvujFvxlnFi Fkn{ {`i jX{>yvxp>tuykm{>X y knvx i `i[ kX |lmp>¾ F > w i jVp`XzzFi tulnvu{`{DjXkmvu!p`i|j{}pDko3k vu jFvFíytxk$i à`i{Dtj]vu lmi z{`vxjvujXlmpyyX!kmvup`j!pyyi n l ]]ii{D{Ài ]@`vxp>i i#tFml]i>!ilnv lni]v VXF{Divukm lmvuip`&jXk z{}iùk7{Àvuj@ jXF!pDtutuoÙt`XknvuyijFjiFFoæk {Dkn vuvt ]knipÄtxi vu`Fyilni tOi jVnkmi !v yXlnFv i Itu#vui {`v]knjXtxi kp>i jXyi!kmFp>j@FFFjVknz kmiæ]lnvxi jXi àltxk]pD yoíivxknjXFi wlnknp i FFtu!lmii i z y>kmXp`vuvxp`o&lnjXi mFI{`ijXl B tuvuXjFk i 9{`v l/i i tx i y{À`F`ituit^p>mjFvxp>{`p`jXjk `]vxi!j ik {Dln{À|@vxÀp>{`Ftxl3Xi {DKjXoqp`l]i{Dv] iOk p@ Fi iOÄvw`i pDjFoÙiknl$i{Djtutup>|zlmi vkmFkmlmi i i jV k FItutup` F3jXvutut {> vxi `iÄvujXln{>kmv!i^oqp>l{Dj@!p>z]p>jFijVk jFp @ii@vxp>Xkmp ¢I i|vuoqyp>i l|jVvxkmjVv Xkmi i w`i lnoqp>
Kl# i {> ù oqp`vul jFF]yp>kà{}knkvxVjXIwi Ip`vuzjVkÄp>j@kàF{Dz lni oqp>lmzrfo^i {íp>oqFjítxtk i iKVFIvuÀi {`vtx]i jX {}!iknvxp>!j#t{`{DnjX{DjX{{`kntxi ymkvumi!k7{>F iln]vx>i i i^j oq]lnp`i z l ]zi p>lnlm ií
>j@k F{DtutIjlmip>oqjFiilnijXj@Fi tut Xoqp>}l{Dtup Fi`
i ÿk$.
ÿ kmlnvxyjX@w>p` z3i3vutxkt @ I{Ài ` ií j@{ÀF`tui t k {}vk#/{Dtuij]>{DitutF@vm vvujX
&yk i ]ij i jX9yiijVl$k{}p`knio.{D{j@àp`Xz{`]lknp>vujFFijVt{Dk#l/{}vuzk Xtxii `zi t i j ]tu{`p>lmvxtujV kmi i lnj@^Fz{Dj]il${} ÄkmituijXkwD@k ] i knlmvu3jFwVvxtut7jX@pDkp`z {Ài`ki@]j@Fitutu^3{DXjX{`lknvu3vutut k$F{}tuvkm!vuvxp`kmj|tu{`kmjXiknjFi p# {D.lmFkmjFioætui {`nk$vxzpDo.F{Dtuij@z#ivujVzk$F{}kmtuivup`zjijV!p>kn{DjXkmvukmp`l$jÄ{Dvu{`j>lmk$i7{`i lmi jFi {`pD k w`vxi jXjFFiyl$k {}knvi#vxknjXi FkniOIioqp`jXl^yi k jV kmvutu^tuimi!`ki t kmpíYi {>kni pDkío]mk i! ki3vujIp>nm v Fv tu i X{`lk3p`oQk i#Ii v ] {}knvxp>j jVXtxt3ívu tu tp>kF@Ft vu I{DtuitxvujXw`itxjXXiFl$i {} kmi ' X{` F3Fvvxknk vx p>jX' {Dt&vxjXkni Fyknkn
i`i t Ii#Fl${}Fkmtuit/!py{}yk i|!ip}>>iit l${Dw`iíhKknpyi yikmvujF!p}w`{Di lntutx{`p w`ií^v{ lnip`t{}zkmIvu`p`i jFtxi j>i k^{`mkmp kn3pMvutxt{> F lnvxp}i @`vui-yi {`jXp}`k i lni{`lnw`iúiú{Dzlni i!kmln{SvÀ {`lmpDvuo[i!k} {Dlnp`@oÄvxjFkmw p@p`{>t Fln {>v! 9 k
i `
i t ¿ 9 i À { ` i m l i > X x v n l
i
i @ u v F j w D { u t t
i m l n l ` p $ l kF jV{DkmkvutX{Dk lniitm{`Ii k !zv Xvuij@ ykmi Q vv{#Vvxp`kn{`ztz{Dp`lni j|{ {`X!p>i3zp`zovxp>jXjFmtup`ìztxjFivoÙ{ k {`p>ùlmwV{ {Djknilnk{`vx{Dw t x
koq¾p``l y{D
l$ @i @i i!lnk{`vumt iu
¾ knp> yi @
knln{>knkù
D `p} >` iBl$¢{Dw>vik oqjVp`Xlz mIpDoÙik lpD{Doílni{`iFjXyw`vxkmvujFvup`ij]i {DlntKkmrfi kknw> ijFi p`lnjX{DkmiiKoqp>{llnii{`t{} kmvu`i i Ftx!Äi myz|kmvup`{Dtuj t z9i F{>jXyXi lmtxi t.zii kjV{Dknt x
oq`lm `p> >z, p`Flm@z Ip`tuvui yi!yknvxp>jMmykniz oqipDp`yol#FoqFtulnvuptxtQFvkni ]txVíFkàzvuÀi{`p@jVtxFi kmi`jXvup`
!jXii pítui {>vulmjmln3p`k l#{`i9jX {D tuIiyi @vv vxIjFw{}knv#vxp>vuj.jX
!FtuXyyk7ivxk7 v.{ @ivxkn{`{` t p}`il$tx{Dk w>ip>Fvw @jFi{`p 3m-j knkmpìp vxz {ÀF>tuiizvui w`j>jFkv ]{D j]{DújVk zKii{`{ m@FjFlni`i
mm!i pyyvxi o vxk^v^k imp`tuiàkni k#knln{Dkmiw> rfkívuíi{`mkmp FFvutuùi F{Dz !
i >it ¾ u¾ >-
A
L L
¨
Z
6 `
3
¤ -
-
-
¤
[
4L
-
-
A1-
A1-¡A A1A1
0@
KL
!
4L
3,
:-K@
7
2
¨
+
4I
-
JV-
=
`
+ 4L
-
E-
3, -
2
4L -
G
-¨@ 0
C!{
8 /; < < + 4 ;XM5; [ 8 XV#; . 4 Vt(; 3;X ' 8 8 3 < Z ¥ = [-
J
2 ©
$
N` 8 ; 9 8 ; ¦% (;
e
,
>-
=
5
D F
:-
>,
1
-
?
-#
yB
2
VA
-
GF
^
[
A
L
L L
A
4L 4L
7
5
@
G-
L ©
Z
[
9
2
L 2
>£
7
1
4
3
e-
'
(Ms>i:vh{i:v|Kv ti>/K±v Vv^nXp4nX it|wtlr8 v k rk r³ /itv /%tl6/i.tv r}Gi o v} ito o i>/ x |Kv mh{i >k n1tlrtitk jv}o i & }mMrl>o k qito p8& ±v >v rKmr8 k /4pth{v n ±0k nbvo o lts>i>/ se±itr+ ±iKk rzm4~zvh{v |Kiith{n:v h i0mrh{itv o k nX k ': 3-,>75,:n{z ittk % tv < k l r#sek o o3zh{itn{th{k } i:v0} it±vtj4k lmhek r% ±k nun{k mv k lr ´
u
b
-
¤
>-
4L
E
G
¨
u
G
'
'
3,
4L
4L
6
3 K; < < Q
@
4L
-
y
E$
G
G
4L
w
-
' y
9
4L
y
M
©
4
w-§ /
4
:-
4
Q
w, «
-
w
-
§ `
C
2
¤
M
¤
3 1
$
/
7¡C
¤
'
[,
¤
1
4L
e-
G
%
?
8,
3
y
'
4L
L
/ L
'! .
*
/ 4 * -@
3
w
C
G
¥
¤
-^§
! vxjFjFw ijV{>k í vxl$i {}`knivxjF w oqp`lÄ{`p j@ ilmi `txi i l `
úijVk k[ vvuYjzFl$i!{`k knpyvu i pD{DojXMl${Dk j @iUvujFoqwlmi Vz|Fi{ÀjX jXpDp`k o]Imi {`w`>iUilnpD o i i{`> X ijXzi!i k | py!p> jX!mvup>FkmvutujF wIpDi[o^zmip`>lniil${D{DtFzFlni!p`k X lmpyv{}kni M{DtutuhK|p>{`zlmiXtxvxij !{}tukmXvup`yj i U9vujUFjXp`FFilítut.kni!lmik{}{`kntzu
i DjV >k `V íjFp`pDlknvxjFi w>Xk ijX{}k
QivujpDo#{DzjUip`k I ipyl !tu{Di tu{Dt lntu yvv knvxzjFw>XFvk ]iiOkmvik$ kni I i {ÀI@i vup`{`FXlmoqilnp`k z i^k m ]{}ik!vp`]op`{Dkkmvup`i j l kmp`!p#tI{`iknl${}i oqkmp>vu]p`líjXj]k{D tIi zk Xi!j]k ií {Dp@t/knÄ{Dzkmvxi!i^j|k pD k o.pyvk K iími p V F{}i ikjX!k$vi
v9k {DivjÄ p`i I>{`iXlml$i^vx{}}knvu{DjFvxtup>Fijj]y!k$vi XjF]i jXiù{Di kmtnizm{`knii lmk ^ kmpyvupíjX yFi ln]pyyoi jXX!yp>i9i Fj>ln{`knmjtxi`
VvujFk @F {}yk3k/{`ii lV>knvFX]vuvx}}vu{D{D{`tututxiitujXj]ú!ii!p`!!j]tt{`{`knnnlm79Xp`!oXp`kmkFvujF twi kk i[iÄp>vujFyFkmFXkyknp p`oKik k$ i|SIùij@iFtxkmp`vuzFjV{Dknkmii|l|zk i!vuk py@U-vxjFjp`kkmvujFi|wUp`k I i{Dl k {}{DkmjXvu p`j zà]Xi txk p>jF]w ikmw>pijFp`jFi lni{DkmpDioìvxknvuíj-p>knyi kmXknykp`i j VFk vuÀi{`tx]i jXi jV!iXtkn!vxtz|{`n{}mkni i kkz ii{Dk k vxjF{`pyXtx tIyzkn i!k OX p`Fp@làXtx@FvujFvulmj wUpyy{`k ]jÄ !vup`vu jFIw{Dilnl$k w`{} Fknivxzp>p`j|iyjVzàknk FXyXkn{>k I^i{`kn{DFi l$FFkmlnip` F ln3pvu{Dvxk km i kmzp[ikk pyiÄFp> ]Ki lnjX{DpDkmkmvuvup`jFj w|k {} kíX{Dtu9tQp>iÄ]z|i ln{À{Dùkmvup`oqp@jXXln#i Vp>Fj vulmvxij] yvx@@vykX {`i t Iii >iv t ] {}kmknp vxp>Ijìi#zà{`X vxki `jFi i i nm{`lmvutx ]i kmikni vuj-p>lnFil#oqp>l É £È É Fz]i;pVmm¾ v >X txi lmp`vxkmzv!Fvtuz vu{`jX!pDioUp`{}Fkúl i>tuii>lni túk$vu{Dúw>iMk {}{`kjX 9iz|{ {`` i jFXp {Dlm~ kmtu{DX tui tupikm9w>p i{`l{>jXFi!k3iyln{`i toqnup`
.l ¾{ `] K{Dlmikm{ v@{D jFtYi i jnp`lnzijF@pDFvuknituvui 3{` jXvujF!@w i mpD~ oÙk]ii{D w>lnvii#l ij ÿv w`FvujFtxkàii p`lmo9vujFp>wFl k${D9jXp`Xl {D[l$Fvu¢ k {Dkà z|i ]{Dlnj@ùk{DknjX{`jXFz{Dp>l$Fk{`kn{Dlmi|lmkmtujFvujFp`k#wlmlmii p`lm{Ditul#tx{Dmtutx k${Dw`i jXF!Xvkmy{Dvu`i l$txiFvujFlmi i {} VkFæ{`mvxlntxvut jXiz!½ii j>y{Dk$j@iw>
7lmi FiÄknw>{`pDw`jXoiF!{Dknp>vxl$jFzFw FXktxv{D {Dln{Dj]ik!lni k i! oq ii {DlnjFijXj]{DpD!lniik ]!p`iOzi}I{Dp`tujFXi {}jVknkni 3jFpD@k#i mp`yjXknyituz|`
` k iOln {DikmvulmjFi w>tu{Dkm{Dvu`lnii txyi mmzvxw>jF{`txi t moqv p>il oqpDFoItx{`tjà!p>vujXzyXvu@txvvu{DyjX]{Dity{}!kp>z{Iknp`{DjXlnw`iijVk3ktxz|i `{ i`t i 7vxkoqi{`mv XtxiKkmpí{}kmkn{Dvuj {>íkni {`{DjXkmtuzi l/pVk oæ {Dk#]vutx3vujFik lmw knkn{Dip#vujF!lnp>tui z{`lm]i p>{`jF¾ i >jV ikOv!p`p`l$zz{}knFFi tutuvuv{`{DjX{>jX!i|ip F{}{}kknk {DvujFiivu``jFi i w tt k i i`i t G
>,
G
B
#
- VA
'
1£
:-
2
9
21£
N 3, 3J FK (-
-
"
E-
KI
,
(-
b¬
!
xvjFrsjX]w ¡}km vx9km>F¿ {>km vup`j.{>áV
7!kn¾ {`i `yjX kmFi{D l$ {`rfkoqp>vl{ @{>KpDoÙlnk vxp`kmvz{D lnXiU{D@jXhKknvxi{Dp> j]zF@]{D-p>l$jF k i jVvui[jk z ¾ iX> k Xz|i{Dtutuvxijl 3mpDXoÙk ¡} {D`ln¿ i$¾ kni kmvuvjF w v3mvxzFtu{w`tup>nm{`lmpDo.knilnz| ÅÆ ÆÇ}ÈyÆ Å ! pDpDo9oK]iF¡}{`i X> jF¿ iknln{Dkn{Di tukmtxi p kmw`vu[jF w{D{Uj]knùkmlni{D{`kmknjùiiw>l i vxiykm {`p-ízrf Fk txp@iFpVlnpDp}o9i@kvuoqy lniip`Oz kn{i { ykn^i j@Xk FjF z vx{}kmk#]vup`i vxj kl zvuw kw>ijFi ln{Dkmi F{Dl$ iOoqp`tutxp 3vujFwàkmi jFv VFi{Dlnivxj]!tuXyi vujÄk i^kn{`j ¾ 3 VFvu}{DtuijXií~/{`lknvknvxp>jFvujFw 9p`FjXX{Dln {DtuFijX{`txymvu Vkn{Dkmi ln{`jXmvknvxp>j i kmvujFw h9{DXmi s i !k ^ln{` vujFw ¿ @@jVkn{ iknvxjFw
B
EA AN e? ¨
?
EDGF(bA
G
EA A 4
L
-
[
A1-¨
>-
JV-
4
1-
L
*
-
D
V-
L
-
`
1
E
?
«
`
G
G
-
4L
J7 )
¤
N
? [
*
[
-
[-
O
!
?
¯
2
'
[
-
E G
' M `
*
w EA A
:
O
Z '
[
3
=
?
4
u E1£
[
-
&6
!
-
!
8 1V; Q
[
!
D
Je- { 4 ;XM
[
2
!
V-
>
¤
GA>-
,
y
E-
b¬
V-
w
?@
V-
8,b %
DV-
G
Z
=
-
+
¤
¤
=
1-
L >
=
V-
2
G
&
-
-
G
1£
:-
:- )
!
3bF ? ^
¨
0
G
N
3@kn{}knizijVk i kmvujFw ¡ 9l${DjX i !vmvxp>j iknvxjXw {}k${ 7tup i kmvujFw 9l${DjX hKp`jXFvknvxp>j i kmvujFw ¾ 9l${DjX hKp`jXFvknvxp>jhKp>z FvujX{}knvxp>j i kmvujFw ¾`¾ ½ p@Fv Xi[hKp`jXyvxkmvup`j i !vmvxp>j i kmvujFw ¾ hy i kmvujFw ¾ {DjXyp>z i kmvujFw ¾ ÿ Xÿ ]ÿ Xÿ jFp`p`zk rfk]Fp>lnlnijFi z|ni!jV{`lnk$vvx/]jXi9i>F{`ilnj@jvuz k {`tup`ilmvu>FtuiÄw t Ä{àmp`Fvuozlnpy!X!p>txiizmzXtxivknkm{D{DlnjXj]vu Fi/{Doql$oqp`Äp`lKl{`lmi mpD]vxoÙkp>k lyknp@vx{DjXi lnwi rfjFkp}v V`{DFitl$iÄpà{Dknw>{`p itxtupIXimvujFXwU{#ikmk i ikniz}l{`!ilmp`lnvup`ij]tuXUvylmikni i l$>{ XXvxjXtxlnivvxVjX Fw ip>{Ävu{Dil$ln{}vuij|kmvup`k Ij]i i{Dtuknvi|Xi ioqp` l k ivul p`v!i @kmp Iiz{>yi kn{}{`kmjXi w`F p>{Dilml$n!¾vup`KIz|i{`pDkyoíii knil i @ km lnijFizknv VvxjXiFtuw i Fi lm pV {`vjF v V@F!ip`k z iOFtuvx jX3tx]vk vu p`j|k p`i o XÇÀÇ æÈyÆ ÅÆ ÆÇ}ÈyÆ Å $ rfXo{`klmvujFiàw^F!lmp`p>z]pVIp`ijFÄi jVkni knkmyvujFiw|>itutuip``Ii i tuàvXknvujFp w]yi#v ]i lmii oqFjVktoqzp`lOi!k ! p`pyz p>Itxp>p>nw`vuv i Fítui{DjXkmpk! p>Xlmln#ity{}v kni[i lmk i jVi k#mikmituik>ikmt l${}3knivw>k vxi{D
.j@vxkà zi ÄX!k vui]jVik knFi lni km vujFijXw mvx>kmiàl${}tuknvuikw` pDoKp`@zvujXz!ip`jFtu]¡}X>m¿i kmi! p`jFjVk$v >{DXvujXi
{ vxjù!p`k z v m{`i lm!i^kmlmvup`i jtu{Dkm9iiÄkn p| p p`Fl9 kmp i!w`p>l$jX{DzviknjVknpDiol$¢ {zi!k py 3vk {yi XjXi |kn{}kni`¢7k v }{`txFioqp>lOi{` vxjFXyk^]{Dl${Dzi!knil
vu vujXtxXFi }lni!{`oqtxi Flmii 3jXpD!io/{D{DtutQlni^{Dk]kmln{`v nFyikm|ikmpoqp`k lO i{Dj@zi!pk pyi !
Xkn{Dj]oqp> l v kn{Dkmi^oqp`lk iij@@vulmp>jFzijVk Fp`tuijXrmyoqvulnFi p`{`iz lntxtui `k
I
k iFiyzki!knvk {Dk| kmpyyip@pDi o à{DkjXvx jXi
9txi]vuzj@y@iIvxlnp`{`p`lmtxjFknt9{`z}jV{Di kmj>tuln`vukí{
9FjFk txi ii i[#[{`jX FpD!lniklmmi ]mj>v ik zp`{`i!jVFk km Fi pyj>k|k p`i oími#v{` txkm t3p p>p`p`yFykmkmFknFFFyyk k$kííknFknlm{}lmik$i{D{|{Dz|z|p`lípD{`p>oí!lOkm{Dvu{`j@p`!jXkmvu p`k9j@IvuVji F{Di j@Fi ^oqXp`{DÄlnj]z { k ]3{Dtxkmil$9k iij@@vxlnp`jFzi j>kkn{Dkmi vuFjV{Dkmkni{lnjXj {`kmlnt@ii jV{Dknkmz|{Dlnkm`i
.{ì}{DztuFiki pyoqp> l3txpyvxtut^{`ty}lm{Diln{}vukn{ iFtxip>z{DijX{`F{Dj@Fvknvxtup>p@jX {D{Dtt zvutxi!k ùw> ipyi jF i ln{Àp`{`>jtxvi{i!p`!j]knt{`pvny vuijXlni tx XFp 9ii lmimi^`i i Vk l F
i i#kjXi !yiùii ^{DpDylnoKw`kmvuFzp`zjiik pDjVo/k|py{|vÄmvxjF{Di w>tu{>ttxi
vVFki jXi!i>vx
jFXyk#k${}km iài[ oqp`ip>lOyvxkmjXk X Fyi ykkàXl$knknkí{D{}kmknzi[ii!voqkp` l#kpy mXiùlm{`itxt{Fvuj[txmki Vk p` Foii jXk m !i ii iz@i!ik ! ypyknFvxp> j pDo kmp ùVk$v{}kmi mvuzlmiXXtx tknvx!jFp>w[jXmoqvulmyp>i zlmiìlni!kn{`Fàlmj]vxjVknioqlnlnp`jXz{Dt kn{DkmiípDo/{ p`z]pVvxkmi yzi!k p@.
e-'§
5
-
)
"
P$#
L
¢
# -
-
[
"
"*)
#&%'%(%'#
"
"
©
-
¤
-
4L
4
-
"*)
P
§
`
-
P
"
)
E +-, " P # " #!%(%'%'# "*) $ i rl iu ±v ,'1 (5, ; 32.±ith{i.|Kk ³ ±81±vji:|Kvr8pKk r8ith{zh{iv k lrn u vtj v k o v }k o k p¨l04>v% itnXk r³0 lQloM|Kk ³ ±8|Kvq i^lri itnXk r³nXh{vit³p¨i65 tk itr8'&4v nV|Kk ³±8 4¤v|Kk o k vh{k p^vr)/zh{v k tiek r%l rieit±rk =Qmi ´87e±Qmn1 ±i < h{ito k v}k o k p¨k )r /6i 9+n{±lmo //rl h{>i =Qmk h{i^±l k tiKl:4uvr8p+zvhX k tmo vh: it(± < rk =Qmi ´ .0/
È É æÈXÅ Å Å p`FylmjpyknFi i yVnknF ivu}{DtuvuijvujX k ià{Di#!lntniO{`{DinzViFvvx9}{|{`{Àtx mi i!j>@kk3pDvujo/mp`}k z{D tui#iíFizm]i!ioqk p`! vl]pyvujF{D
FkmFvup`knj {`{`jXjX z]iívmk$ tx{ip`{``kmyi iUjvujFk kwU {}ln{`kp`Fk vw k vuvx[zk vxFjyi#tuoqvp>!!pylmvxkmz|ytuìií{`tàpDlmoiyoqii]l$¢7jFk vknknpùi vxp>mijX{DXvuk {D k IpDk knz|i{}jVk{ÀkmÄvz|{Dytu{Àtxi lmzvu`i ijVkmoqvulmp`p>jzvuj vuzk F tuiàizm]iijV!knv {D]kmvu{Dp`kmjvup`j p`jXmFvp`ylil$i {}Fkn{Dvxp>zjXF tui`{D
yj]k i#{Àm`]iijF!v p ]w`ijX{Dkmivul$p`{Djtutxùoqp`lp`jFk tuùi lnIi ³V§yF¨ívulnp>i]{i ln{D¯@km®>vu¦Xp`©[jp`Àj{`txX{íitxp@vxp o9k f Fi {`knlm{ w>FFtxi z3ijVvutuk t pjFpDk i vxjXk|wp`l{ ]`p>i yìk v |p !p`jVk k$ {Di vujFXi jX-vxj zik k ipyk${ Fitui{Dl$ rfki 33k vx tutinkn{À{ F tx{Ài `ip`9jFtu{>tuú k 9Ipp p>i y>kmXFvxF}k{Dtu}ij]{`tx!FiUi!t{`pDoàn vujV{`kmjXi {Dlmtuiykv
O ¯@3®Vvu¦Xtxt^© k {` jX] lm@{vuy`mªFiX´`© @i noqVXFp t 9vknIi|i³>§Fyi¨vl
lmiiIlnkmipDFjVk lnkjFvuXjFp`{Dow#k kknlmOFik i iù/lmp>ÀvxjF{`wtx{X i k {` zi| {À!kn py{ yFIi>tuiùiO
ÿvuyz i FijVtxi kmzi lmiijVùkn{D{`kmjvup`p}j `i l z|]p {À {D{Àlni >{Äi p> lívxk XXvxijùk { ilni Fln vx{`z| {D lnoqF{`j]lmikm{vup`p>j l ky vu {Dkmik vulnjFi!ÿw>oqp>Flmvui>
i9 ÿ i[@vu|jVkmk i lni#Flnm]i!k i
!v vx]j ÿ {Dk km p>vuiyp`jkmnF{D{DFzlnkniO i Xlmpy {Àyv X kmi pì{D lni[zijF{Dp`j k pkm`i yknk Fmyi!!kÄk p>zX{`!Xlnp>tx{`ijVzkmkni {DivuXkmjFi tuvu{>lÄjF w{DjXp`I-jFp iík ln{`iijXF{Di lnj@i tuymVivuvjVlnp`k$p>{}jFkmjÄzvu`iiiO>jVik|oqp`lnw`l3i ivxjFjF{`iX l$y{}kkn!i {`t{`jXn{ kmpDpDvuo7o9jFvukw`jF FFvvF knkn3{ i F{Dkàtuj]i9vxijk#p`k lnln{Dlmikmii m]Iip`{!jXv zF]vxi!jF{Dk wkm vupyp`p`yj knF{}@kyXk$ ii `ni t vuoq X tyvxi {DjUylni ip>FvuyjXl kmyvu p`v vj iFl$ln{D{`l$jX i7^ kmp vk kn i i]i p yi {`yjXkm{Dvutup`yjvX {}3k vx tut|vxjrfow`k i jFi|il$z{Dit&k {` XpyUz!p>p`jlni knjV{DXvuz jXItuip@l/p`pDXo XjX{DtFv kn{Dykmpi jF.p`{`k jX {Àk` i ]@k i iIj@p`FXz jXIFi l
@p`k o]i i jVFk vu i {D¿ tuÞi¿ jX/i{DtutI!tI{`p>nmni mv Ftuiz|]{À{} k I i {Àp`>zi iIvxij i]j jFivknyi i y kmp i lmi{`K i^{Dtuitx`p i t {i j>kni k${}kmkni vx>líi kmppD{Do7Fk X txi#m{i!kmp`i!ok{`pDtxo t.Ii p>FnmlmvvFkmtuviíOvknikml$p{}kn vx p>p@jp>mip`FlmjVi Fkn lni 7ÈyÇ È Â È .Å æÅ $ ! K{Dtup>iFjXjXi^F{`lmtu{> m {D{`j]txX{Ditu@mvjXK{D{`tujXy v^9vup`F{tÄm]]iX!v{`{Dtxttu oqp`Ilni^z Iip`lmoKoqp`i lnVzFvui VpD{`o9jXp {DI3jÄp`jF{`jXk XF{D{}jXlnk ùz|k9!{`kmp>pjVjXyi VvxikmFlnvulmp`vup>}jX{Dln tui{`jXÿlmvii9!oq3tln{`p`lmnvxzkmvu{`jFvujXjX w {Dtup`ylnlmvoqip>l k rfkK vi
Kk@ i vujF]txt w kÀ{` {`FitxyXvxi km{`vup`mp`j]i o9 {DtOi >km Xi ivxln}kià{Dtu{Di{`j[j]m!i {`iÄl X!{Dtvlnkn{`iùlnn{`m{>i lmFÄy{DlniiX X]lmivxij {Dli j>k$ {}vuvj kn vx >{`iíFIFoqp`lmvFp>knvxzjXp>Xjù{Dk lnknpi ]!{DijXjV{D{`knkmtxlmyvup`iÄmj.vup`
ovxIk{p`txF!itjX{`{`FXn{Dlnkmvu#pà}X{Dmi tui F` ii t {DjX#{` txyXm vuv
k ]3{`vumtxpytBi
`yvxio p`]{ÀjU}p`{`k k vx ti{ mFvumytu]i#iioq!p>pDv lo i {` Ip`FjXX{Dln{Dlni i >i
@tui {`kmp i>it Þ¿ Æ ÈyÆ ÇÀÈ Å qÆ Å Æ $ "$ vx]jUik knKk$i{}lni kmziiíjU#knlnk pD{`ojXp>vmmk$viÄ#knvxp>k$k$j {}{}kmknzii #pyy{`iVjXtQk$ù{}pDkmo/k i {i|X{`knp`mlnzi {`ùjXImp`kmvjFknivxi p>knj>jXvxkjX^wFk i nkn{D!lnkàln{Dv kmIpyi i w`vuFi vxkl {Dln i vu {DzkmiIknivxlnjXi wú @{Dúj tu{>] i -]p`{`oàmi {ì¢yi 9]jFvxjXvknFvxp>ilj pDKoàvujX{-yi l k${}
km`i ` >p` j kmF!ip`jVlnzkmzi zvxknj]i{ {}jVFkmk$tuvui`p`¢ ¢j kpD ½oi i pVF{`k {`knjFtxjFpD k {DFkXy]iknp>{DXlkmkjXivkn{`{Dvxj p>j jXi p yipD!oÄiyk$kkn{ {DFvkmtuiìivxj {Dylni i p`i Fpl3k^9zivuO`pyi yyl i i
]t7½ jF{Di jXi > i@vul àF{DyjXtutQi {DXvxz knjX FvknXvuvxw`ip>FtjìFp>XpDo3¢ p ½ ii ` i i#kl
k$¾k${}{}`kmkm@iíi¡ p`z3o{`rs{Djjkn p>p Fil zp pyyk i {Dt£
>k k
i vxjXi FjSykK!p>jXkn{Dmvukmyii zlmvujFXwúk {-vujXztxXiFk i3pyk ii j@vu@ vx lnp`zjFzp@Fi j>itk
X {D lmk#ypDvo{Dw>{ln{`k$z {}kmi vxjX£knlntx{`]jXymi vknvxp>k jùiyv{Dkn{Dw>kmlni{`zpDo
.k {D tuti p Þk${}i kni k$.p`lmoKioqk i l i iyjXi Xi jX vkn@vxp>j-k pDoiízkn{Dikmk i pyÿ {DjXĽ k i >i^il ij@à@p`vulmjFp>i jFz9ip`jVFk t SFoqFp`klnzp {`t i k$ v ù {À>iyv ilnijVkÀ{`txXi ^pDo9i`i jù{mvxjFw>txi{}k $
5
~
M
G
2
=
Outputs
Inputs
-
Logic
4
3,
2
-%@
4L
E,E
1£
?, E- 8,E L G e-§ # * 6 6 7
3 -
`
'
/
3
2
# V
y
1-
.
4 L 4L
VL
©
¨ 2
0
!
#
-
Z
1
4L
y
-
!
= ^
e
,
£
=
©!
>,
'
L
+! 0
/
M
M
VA
>,
-
E G
$
CB !
1
4
G$
3 D F
>,
G$
4
*
=I
!
B
8,
V-
w-
9B
GFC 9 4 4LM
Z
3 5! E-
eA
A
GF-
1
-
2
!
2
'
#
Z
8,
-
2
?
L
8,
6!
A>-
A>-
!
!
E-
4LM
8,
-
8,
5 8 (; .
-¯@ 4L
4L
4
!
-
$
V
4L
b
MA
G
'
`
[
X
b¬
!
3
C-
L 3 6 Z
8,
-
b¬
:-
E
,
w
Z
1 2
9
3
b$
«
u
©
` =
3 8$
/
!
7 bA A 7
B
9
1
`
)
7 -K§
~
O
N
C
+
2
G
>
2 3
y
-
7
¤
2
:-
@
!
=
G
3
.JV-¡A
!
9 ?£
3 -
5
>
2
4L
3
?
`
G
>-
4L
y
-
^
4L
G
`
C
`
E
[ 4L `
E-
C
`
$
-
-
®
3
[
e
L
e
[ wJV- GA
5JV-
L
V-
`
$
:JV-¡A
!
~A>-
!
+£
È Å Æ my{`jXkniyz|p>z kmi kni vxjXlmiíwùk ! tui i#{`j@lmtuF z ]{`i lIpDiojFkmiiFk$knlnvuij VFkmivulmiknvx jFwVtu{`{Dlmj@w> i oqk p> lmiÄz|{Dz|t{`{`txjXtui{Dltu
.ylnviXvun{ Fi @tui|kml$!{Dp>p`zl$yIvujXp`jX{DlnivujVtxkn^t{Doqp>lnw`l i vp Ki p>`Fill
Vln{Doqp`k l vumjFXwÄmFmvu@vxp>kmi j z vpyp iyknvuw`{`jXvxjùi !
p}`9i iln{`@w`vxiip`o ln{`i jXVFyp`vuÀz {`txi kmjXi !kmivujF!w t{`3nvxik
z|lnF{DjUj@{DjXzùp>k lm i#vu kmi 3knvututk p` jX{`txj[{Dw>lnvxi#>i|km{lnvu!zkmtui {`mjFFiln!iimp`no{Dlnp`j zIXyikjX]i i I@p`vup>jXznFiàv Ftuvul$tu{`i{DjXjXkn!ypi p>{>z3mmvxk vuknw` i jÄ{`kmkvuj@jF wip`m3o{`vxzp>tut7FijXlkpDF@k lnI
&p`iOvuIjp`p>o7vxmkni lnmvui tx|tuoi
&>ziijXi tm{`F
]mlnFvkOilnivu¾ k >jF pD{}kk j@v{`QjFtuz vujFi ]@i i {`kmi lQl7jXpDvuj#oXvup`kmk i j iKknpD j@o#Fp`z Xv]li lz{DpDlnpyoXi yvujFijFtiF!y9ik$mp`7nF{Dkmtpíln {{Dkn!p^tup>txp {>z ];vxp>i jF`@ii vujVjXk !
Àii`k i k tij i 9jFp`ik km{Di jFk3jFp`kmkOp|i {DjVk@tuvi m{>{`w`kiàk { vuvxkmtui]>{}ikmtvup`vujj{à oqp>ilmlnz|i{`{Ät&km{`ijXkn ili K p>{DF]t kn{DvxkÄ>i#txiz|{`{DkÄjFp`jFjXi l
i`
3ÿ pU7k i{} k p`k F l{}k k${ ÿ Ftui |9i yp`Fitúyknvxp>knvxj[tutvFlnl$p}{D@vvuiF i {{`XjXyioqp>Fz t/vuknjXi yvkmvu{}jFknw vxp>jp`Fp`to k ] iiXlnimtui vu{ FknvxptuvxkVXpD{DoKtuvoq{!{ p>ziI>p`ijXt ijVk ¿ l${>{} kn vxvxjFi w `i3 vk zi {`mFlni QpDoyk iK!p}>il${Dw>ip`oFvxjXFyk/yp`z|{DvujX Æ Ç Å Æ É Å $ & rslnjit{}k kn vxiàp>j FlnIi i!k i 9yivujFi jwmk i !iàkmvutup`vujXkO
p`o9yi i X{ÀjX>i i#yknii zkmp>vujFjXw knlnkm{Dl$km{}ikniw`k vu i i vuzj i3jVk$X3¡} {D`j ¿ Ii#{D{DjXFUFtup>vui F l#kmlnpituvupD{ k F vuitxvxlkùkni tuikm>vujFiwt¢kmim vx zjFvuv tuV{`Flài {D lnw` £Å É 7ÅÅ & I@p`FpDjFoÙl ki jVkntu{Di*ln>i#ioqthKp`p`l z ]ln{Àip>`tujFi v{iFjV]kvutxvxi ki { j ]p>vulnjX{Dmkmi p> k lm &i
kmDp >/ `i lntuv {>mv mvoq itulnv Xi`!
lnp`{`zKlmi @oæ{>{>m !mivxkw> ji[kmtupùp i 9{{`i ! kp`@zjFlnp {DI3kmp`itujFi i yjVw>ki{`k {}{ k[{ì p>Fztxl$i|i{`k !k km pyvi {`tutíivu>j ip`t9vxzknlmÄIi{`p`vujVjFkm i i ij>l k oqz|Ip>i l{À!UkàyvpDk {D oÙw`kn{}ijXkàj p>kkmp`vijV knp`{`3lÄvxj-vutxvutjVzkmIi iiw`k ln l$v{}kpyúkmFi oqi p` là@vu vukìjF wìi {À{DF`j]Fi ln]IypVip-i ij jFpDp`{>o3kFlnyi {Dik vupyjFFw9ky pi Flmi p>i txjVi k9!{p`zFlnI{>p`knjFvui jV{Dk t&[yv rsÄjVkmi Fw`tklnvkU i ln i^i{> V vukjF wi|zz|i!k {À z{Ài!>k i py]Fi ij[Xmi vuknpÄtui `{`i Xlm[vxoq knp p`lnlmik3oqFÿ j]kmvup`jXvxjFÿ w pDo/pDk ivxj l {` {}w> km{Dvvuvup`jX j kk 9iF{`p p> l qp`i lpDFk {D] zpVilmFmtuv#i`X
l$tx {}vujúk z{ùip`llnikp`z{`z]j p>i!{DjFk júipyjVF{k X m{`p` lmtuvyi[ km i ]>i i iln`v i{ mip`jXzmFv Ftuitx F {}ik$ {[`i knlm@][kmX{ÄlmFi lnp`w> lnp>{`mz i|vxjVkm i i w`j[lnvkkUi|F{`j{}k${p`jFtukm lnX] i knz|F{Dlmj@iX{`p`tFjVkn{`vxi j] /@vuzjFwp`lnpDiKok {í t{D{DjÄlnw`{^i3kn!lmp>vu@zvu{`XtFtxij@Fz kmIlnXilknpDFolnii3tuivu/ztuiv `jVik$tu
knFp tuiIFiívui z!p`ilni^p`o^i lm ln p`il f-Flm!p>pyjFyi3i k {Dh j 3i lm@vxkmvxvujXjFww|k { {}lmi ktu{D{`kmj vu`i {`txlmÄl${ÀmUvxz vu p>m p` lnlmy{`kmi jFilv{D{Dp`lntuilOtu ki F {D{Dkízi { FtuFi tvx{Dj]lnpD{Dw`o/lniù`i mknlmi lm{`Xln!m vukmz FlnXkni lmtx iài ilnipy tuy{Dvu{ jiFk Itx i {}kOrs{D j {Dt `jki zivxi j i Xoq p>{`lnlmz|mzi i
k v o!{}kp`k lnklni i i#æmknvxtxzz>
Ip`Flnk tui# i i ^!j.p>vu
.jVzkmFivujXw>txilmivxkIzpDik k ipyF@ vuvxi fjFFwi jX^ylnp`i pDlyo9Bknkm!vxipyjFyi|kOi]p`{`i jlml i I{`p`lmpDijXk mvup`k kmln i lmiijVk kz
>oqi!p`k l Xp@vln
{>BFkmpj]v9y{`iitXl`£Fi knl Xi
}lmlnkIip>{`z|mjXi {`U vx
jXk 9 i{i3]vuj>p`vutxknkmtii {>w>j>lmkn!vxvuk{`i yt k 9 ki i { {}k jFim vu !p>Ftu Iilmi zp}`i vxj{j@Fz Iil3p`o {Ày¢ ¾ KkvujV kmiKi nw`{DlnzvkÄi9k$ {DijX @Fvx{`jFlnwílnp`p`oFy`kni vxlmjXv i ]
{Dkmvup`jív7{`FFtuvxiíkmpk i 9zvujXiyk vu@vupyFFX{Dvutjz{|i!k! p`pyzFIp`{DjFlni iàjVk l${}kni vxjV kmi loæm{>pÄ!ik {D{}lnki^FXjV{}knkni ijVkmk i 9i vxj@iFzp`ijl${}pDkmk vu p`ijSl3zpDoi!k vxj] ypyvxF@3vyv3X{`lnit#VzFvui!lmk i p@X FiIijXyi j $ $
-
9
5
8, Z
E-
8,
G$
1
7
8,
8 ; 4 8 G$ 3 =
7
L
[,
8,
6 `
8,
[,
E-
M
y
Q
' 4
1
E
¤>
y
L
`
;Xb 8,
V
8, ,E
2
5
:-
1
jFpDo/ii{rsjMknp`ptxzv F]Il$i#{Dp`lnjF{ vxi Fij>txi^kp`¢ knop|!vxp>jXzFvuI {}p`kmjXi^ijVknp|kn F
lmp>pVFIli m! km vu`i i^zFiFzl$ i i{`knmil${ ¾ 3vp k ú p`tuFv >kiitulnlmvxp>kKl9v vujk {`{}!kKkmXk {` ti^X!p>i zIp`jXijVk 3vutxt]oqFjX!kmvup`j z| {DiÄj@p}>h il${D tut/lmv! p>zpDIo3p`XjXmivujVjFknw[ {[m@kmi z p`zIp>mi pDo zi i!ikàj{k 9Ipi p`v Iz]jFp>ijFiijV
k$3k {Dilni^l${}{Àkn}vx{DjXvuwt{ nF tu i i z iv {D tutup{DFI^i {{`lKykni p vuw`jFi lkmp|{`nmi n¢ ¾ X{D lnii lmi kmtupÄ{Dkm{`vu`jFi pDk lm vil p`oXmvxjXwp>jFi!p`zIp`jFi jVkp`z p`jF i#iìIp`zp>nIv p`FjFtuii j>!k p`zzil$!v{Dt#p`jXmi VFi jX!iUp`o]vujFw ii!k lniil t{}{ knvx>!ip`z}I{`p`txFjFii jVk pDo 3vxkk K p { p`vuzw ]ip>l|jFFilnjVvuk$i
3vxtuÿ tB
vxjoæ{>k
Xknvoq vk$3FlnizvuFz jkF vxii rsz jXvx j lnp {>{[9kmjFvilni {`iw`tXpD>Xknimvu{Dlni`[km
vu9jFFwitui pm{>i Xni[i vulmp`>knjQpi ¢| vk {Àk9`w>pi{Àmk>pD ioÙik k k${{Di Flnz itui !{p`Izi!!oqtuXp`i {`ln{ il X{`{` mvuvu#i>oqi p`l¢yk v miXm mvu{`jFw{|{mtui!ik>p`it9o7k$pD{Dolnkmw`ii!k$knvxjFFwlnp`k I p>{Dmk i 9p`{DFjXt yIi i XKjFi i lmi @k X{`jÄlnvui jXFyXi!Iiiìj]yknpìijVyk9i k vuyvulnvujFwX{Dk lm kitx{Di jX`|itjXk i w`{}p`k kmv{}9knp`vxp>XjXtu ]yvuin!lm]im{`m vxjXiw kml${}kn iw`i lmvui i
]k {` i vxjFlpìyi jFXi jFi vxúkmvup`knpjX y
.i !`p>p`jXkmii VknFvxzijXi[i kn p
ÿ æÅ æÅ & !p`z izjúp`oæj {`vxtukmFp lni mi i {`|lmi mtxp`v{ zFivutuvkni vx!ip>[jFp`pDzo væjFp`!j p`fj]mpDi oÙ>k Xi{DjXlnii`
vxp`kÄz v ]Kp>ijFoqp`ilnjVi knX{`i vx@tuFXlnlmi`im
mi U vuvu j- zijXi { {>FXtxilm#iimknXvxz| {}kn{>i ½ pDo3ik{D j i nvu{Dzzi i z]p>ijF{`imjVFknln iIoqp`i líp`{`znii z {À}F{`tuvuvxi t{Fkntup iI{`ijX yi h lmvu3`iy ]Oi!p`zzp`ilnàiàzp`p`z lni ]9p>{`FlmiFt{Dyl
7kmmi vxzz vutu{`l½ lmiv{` mFzlni pyíyi ]tu 3{`vutu t ½[]i| jXii F{`i lmùioqyp`vlà|mpDFoÙktxk kmyp|ijVykOilnp>vuj`iOzoqp`p@l3Fiàp`pDoÙko/9X{`mlmi iO!p`ÿ z.Ik p`ijFi FjVlnknp 3X{`{ KFvxk tu vxkiÄÄk {` lm{}iík^y{`ijIivxjj FFytu{`kíl3i iyj@]@pVvxlnp`vujFjXwz{|i jVoæk {DF¢txk jFp>3j vustxtp`IoÙkià9i{`j]lm!ip`Xp`j>zkniIlnp`i jFi vuj>jk$9{|kmXi {`jXlÄknvukn p ] {Ài`yi|i p>mvujFw`txjFip`jXoqip`lí!ln{ÄvknjXvu {`{Dlmt lnp ]K{Di l$l3{Dzln{`i!jFknw`ilip`ÿo ij@ @{ vxlnIp`p`jXtxzk
i jVkn vp> l z{íz{À { y]vxi#z]Fz itup>vuj{>y{ vujF3wívuyp`l iíI}p>{Dnlnvui!v FkÄtu p`½[om vknX{}knvx p>jXtx pV
{` {`!3Xp>lmjF>itu zlmi {txv@{ vxFjFvuwUtuvkvxùk|txi i {``mivutilFkmlnpUp`IXp>mmii vuz i FlmtxiÄioæp`{`FvxtutF lni]izXpyyii Utu {`ík ii oqi!p`kmFi ljXX{DX{}kmFvulmp`p>jàFoqlnp`vu{Dlkm{iKlnkmvpí ík zipyyk@ittui9@p`#oI{`]nivuw`knjFp^vujFiw{` {O lntxvui `íi Xt {Dl${D z v jFlmvi izknp[pyy{`int vuw`9jù{>iz{Foæ{>vulmvkmp>{`lt/vuXj{Dl$p>{DFzlOiykmiikml$i OlmzkmpvujXi{}{`kn vx p>j txi 9`ip>t/jFvutuj Xz{DvulmjFkmvutuzà Fmz Xi n oqXX t k i kmp F>lnip}i @ vuFk i {i#Xj@lnFz kK]kmi i l pDo/tuivu` i tu9p`knFpt{ oqtxilmp>{`zkmhpXm i!oq XtX!p`lnzvu àIp`{DjFj]i {DjVtu@knmvoqp`lmykniz| FFvutxk @h 3y É Å rs!j p`j]p`knl$lmyXi!lkmikmp oq{>lnp`mmz i n!p>k z i ]p>lmjFviYjVknùpDooqlnvxp`jXz kn{`z|txtuvu{DjFj@w { yv yilnkmiijVz k p>XF ln{`i K
k { iíKp`jFi txi tK{`i^ !FilnFp`kmIi p> mi k$ {DijXlnXi {D3l$ vutxt lmIi i txv{ p`Fzvutuiívk vxj]!vujXlni y{`i vx{ jFFw>tutxi ùVjFXi {DjVi knnvmk${`{}kmlmvu `|i oæ{DFFtxkvxknz{ Fpytuyi|itjV/Xknzp i ]lmi^vy{`it/lnvxvuj]`yi i {`jX3vxtut Xmii j kmkmpiz i |kmvu z{D!p>kmi zkF lmii lnivuj] vu`{`inlmpyv! v{}knzi pyy3i t vxk z vx{ùw k p`VzXF{`tutxi vxoqìk y i kÀv {`i^txi#Xip>v lOFilnpyp`p`oQyzX{#F!!tuii p> yzv@k]p>]zjFii vujVjF{`k w#mFp>lnXFi lvujFvu{ÀjXwà}y{`{`i vxj@t{ F3p>tuivxjFk i
`pDoqo&Fp>kllK vxi iOjVykmm{`i izjV>kmiFvul$p`tx{Di>j t
[ ?
-¨§
2,
A1-
,
)
-
3 +
¤
-
,
A1-
[
>-
'
G-
?
M
w
G-
3£
C
E-
5
w-
E
3
3 =
`
«
Z
:-
6
y
'
,
-
4L
Z 3L , 3
!
Z
3
?
,
/
w-
,
)
`
:-
G$ 1
'
Z!
# 0
Z!; < < / 1
8$
G
3
L
4 t@
9
<
;<
vunj{Dtuktx vK{` X!{DiIFikmlKi úvu lnkmip tuv { vuFw vu txvxtxkvu-w vuk jXk y i ijFk i i {}k oqp>ilKjX{ mFp`ztxii3FmyjFvu`knii z l vumjVi kmni|w>kln{Dkmip>lnlnvu knp {`np`zpyXvu{D{Dkmlni ià yv3vxik ln ijVk kí i zp`zIp`rsjjFi {>j>Fk$Oyvx{`kmjXvup`[j.
{> { m{íytup kniz l${}vuknjVvxjXkmiw w>ln{D km{>p> l { /Xoæ{`{>!iv/ p`3j vk {|vu !p`kmzpàIzp`{jF`i ijVk3{k l$ {}{Dknk vxp> jX{`{D t {`z|p`tknz{i`ln]jXi9p>{}p`jFknl ivx>jVFiàk9X!pD pVo DF k i vuw !vÞmivxl9p>txkmj lni {Dlmj]kmvu{}jF kmwàvui9`tuiv{``j!ipVtuI#ki !]]pVvujX{Dkt!{DtuknXjXp^ylni ii^XlmjF3pypDvxykkíXp`kjFi9 tu{i kp`ij XFlnFz l$ k {`{}mikF{lnvu!p`i`z
IXyp`jFkOi {DjVtkàmp|z]ipVi!mk$màv X{ txií knvui w kmivujFlàw|kni {`jXp`Flm{Dkl$kmp
oqmp>v Xl9txii F!{DpVzk$F9tui`kmp
y{lni yi knmvoqvxln i p`l3p}i `j i ln{`{Dtxj]t&!iy{kmi oæz{DvutxvulnjF{DwÄkmvujF!p>wz{`]jXp> jF]ipVjVk Ftuv{DKjXiíF{Dlmk3p>]vk$pV3vu}jF{Dwlnvx{p>Xln{Dkmtxi vujF`wi tu
Kvui IilnituvxVi F`vui^lmik {}¾k ` !p`z ¾ p`zFtuvu{`jX!i 3vxk {ln{DkmvujFwvuzp>lmiíi {>vutuÄ`i lmv Xi .
KkjX ii|jVknl$ {}
kmvujF wpVv#izp 3p`lnjFi|il$#Fvxz|kmi{Àù kmjFp p`k FtI{`i 3Ivxtup tuvxjFwù!p`kmzpIi p I]{`p>mmi i vujVp`kmjilntxjXvujF{`i tVKyipDknoQ{`vxpyt7y{`i`jX
Víi k km vuz|]Q{}Ikmiilnzp`o.vk/F{`jXnyvinm!mp}z`i ilmjVikn i lmlnp`l$
ÿ kmp IiXmi ÂÉ Æ Å k {D lmlnvp>iFw9 jFp`w`l k vujFii9i lm@{>vupDjFoÙwk X{DFXln]i-p>kml$l {DknjXi tuvu w`{ vujFq@i{Dz tuhKv{ ijV@kmp`lnoÙkni k oq~p>lmlmp>z|w`{}l${Dknvxz p>j p`o i k i jX p`tuip`Xw`{`Älkn{`zjXi jVk k^ p`i#o9hKlp`k$zzàFjXvu {}kmvup`j]
&rsj Ç É Å @r À r K
& ¾ V¡ í @r }rK ¾ @¡ nÿ ÿ /r 9vxjXFiÿ l
Dÿ ` > 9ÿ vxjXFil
` ÿ D > ` ÿ ]ÿ ÿ Fyvmp`j fùitui 9FlmvjXy
i txt.u
ik{Dp`t Ix
i``
| ` > `u
{ ~/9{`lmFljX
y i txutB
{DjXX x
lnp`i zi`i
>
u
½ p>l X{ ÿq ¢°yÿ ¯@ ¯V· ÿ#"$"FÁy-³@@³ n·&p`ÿ oÙ´k 9º©@!{`©/lmºfi ¦@»y jFºw>ÿ ©VvxjF¨D i ¦iºln}vxÿjX%¦ w" DX > `km >l$ { {D tuvu & ©X´`©@>®]ÁÀ%° "('()(*+"D»@°³¯y$© ,/ºf·F)¨ 9FlmvjXy
i txt.u
i{DkjX{D t x
`{D `z >
~ KDX >jX `y itutB
X mpDu
oÙk i{Di`ln
iÄ!up`
z½ Ip>p l jF ijVk7!ÿ>miÿ lnv I$ÿ {}knvxp>j^ kmp@p`t Drsmj-ÿ. [ÿ $ÿ$ÿ ÿ rK hKp`zFyknil@py!vui!k~ lni n àh ½ ~lmim ioq i#jX121 i`
.¾`@ÿ ¡ i!oqi mjXÿ |!i ÿ ¾ >V¡ 0 / ÿ !ÿ $ÿ mÿ !ÿ pDo / iÿ oq!ÿijX$i ÿ vulmiknp`l$ÿ {}kmi^pDo ½ Vk${D^jXp}F`{`i lnlmFjXvuzn{}i knjVvxp>k j
½ vujFvukmln Fi j>¾ kn>p` j{DDjXì kml$i{}vut£kn
.iw`¾` oqp`l.vuXziFjVkmlnp>p}Vj.vu
jFwn{} oqi k{DjXlni t{} kmiivut£
p`½ oÙk 9 {`lmi9ijFnw>ÿ vxjX iilnvujFÿ$w^ÿ kn{`jXD
F{`lnF¾` ¾ ¢u3¾ ` 54&¾ F¾ p>lm@wV.{D
j½ ik{Dt x
¾`¾ > p`lnw>O{` j.
vxi @vxjFwSx
p`p>oÙk jX9y{`p>lmj.i
&VXx
{`{Dtxvxj]k 3>¡ vk £ !kn¢ >i 6km4@vu>jF w[!p}>il${Dw>i#zi {`mFlni ÿ
rsjXkmvxkmy knvxp>j.
.m¾ ÿ> ^rsjXkmvxkmÿ Fkmvup`Xj.ÿ
` 3¾ X`¡D `¿ i i`
D > ` ii`
`m `ÿ > @ p`oÙk 9 {`lmi#hK p`@zÿ Ip`jFi jVk { ÿ p`l${}kmp>lm>
XhKrr~K
FjFvu`i lnmvkpDo7i kmi lmjXknln{`txv{ 3
,
3,
C
^ u
G-`
1
2
* N 7
-
L
7-
=
[,
>
,
Z / G 2
=
*
L
-
©
E-
M C
M¬
'
A>-
2
0
« 8,b ( L: ' w
< =
,
3 4LM
:-
M
!
E$
!
1
-
M
B
D F
t 4C e;X Q (X; b-
B
B
(- eA
V- ?§ ! A E$Q¨
; + bA G>-
$
e-e-
D
-
>-
'C- '1;X ¨ 4
(J3FC§ -CC-'! 3Jb$4-
!
8 -
e
'-
!
;X(;
EDF¥@
b;X
'- - ! ' e$Q 3 G ;Xb e u3; u e { G
-
!
G41 e 4 ; V (-0§
Db$Q-
B§
B!
(- eA
F '- y.. V 8 Me; 3 8 ! ¥$ e-
!
B
eD
;X
! D 3$Q3
G +-
VA FC eC- y-^!A b$Q- 4 ( ;Xb ; V 8
y ¨( 4 G 3 1 EED
B
3
V
-e!A ' E$Q;X? 4 8 -
¥- .-1! 4 ;XM3-0
;
!
:¯ 3
EDE$4- 3 EA tA>-
84 43 { ! 31 >-
-
ii#¾ `{D>j] U{}kni!l$ÿ
¾`` ii>
°@¯@Y¯V· {` jX"("D »@»@»º{DFkm©>i®&l$ ³`
ªy³¥º ´`©@ºB§X©>¯9ºD%¦ "FÁ`>¯y©>¬y²>®I³}©X´ "y©`¥V¦@¬@¬]³§y¬KºB°@¯D±Iª knh >
h ` ` > !p}>kn.il$
]{Dh w`ikmDp@ >p` `t Àÿ KhKpyyi 9p`l kn Vp`jXiykp>{Dj.t x
¾` ¾` @.
½ !p}>xi
l${Dw`p>ilmwV{`jX{Dj.{Dtu
yv|knpVup>
t{`oqjXp> l k ii iknvx>iOjFiÿ m^pDompDoÙ
k {Dlni¢Þkn¿ i >¡5km4yvujF¿ w >¿ ½ i `i ml ÿ
¾`V¡ ½ i`i l
O~lmi ¾ j>`kn@vu¡ i {` txtB
ÿ i ÿ p>l ÿ &
mi p`jX i yvxkmvup`j ~ X~/i{`i w`w`i`i
l ik{D¾ t >x
. ¾` ì^ }~ {DXtuiXi {Dw`kmi vujFl wù
> mpDoÙk x
F{DilniÄjVknip`jXj.w`
vujFiui
Vlm{`vujXjFw kn{`jXF{Dl$F ÿ
V¡ æ ¢á¡@¾ 4F¡} {` FX{`¾ jX V¿ ù>i @Vi tu`i i!lkm
vujF¾ wO >mpD¿ oÙk {D{`lnFiXkm i
Ik FI{}{Dk$jX{3XmvxjXi@wO F>{Diknl{
mÿ X p vujyÿ$oqÿ p>lmz|D{}
.kn¾>vxp>¾ j ¢ `3@ ¡ 4 V¡D¿ h9#
7¾ > h9ÿ ¾ >ÿ mÿ ÿ >ÿ ÿ oqp>lilnp`j]/{Dyknvu# 5
h9#{`
yyrsvuj]p i jXvu {DthKp>zzvnvup`j @p`hKoÙk p>9z{`Ilmiàp`jXhKip>jVzk Ip`jXi{ jV]k p>ln{D{ kmIp`p`lnl$ {}knp`ln&`
`` ` ` ` ypDoÙk {Dlni ÿ °y ¯@¯V · "$"D»@ »V» º F ©>®I³`ªF$ÿ ³¥9ºn´`©>ºB§Xÿ©`¯Kº }¦ ÿ ÿ {`ijXi ln { {D{`jXXFv.z|{DjX{`j.
{`Xmz{`j.
¾`¾ > ( O@ipDioÙl$k { {D{DlnjXi yVvB
X{Dtuvxk z i {>Xlmi zi jVk X{>i p>j oæ{`Ftk fFmÿ i!kmiknvxp>j ÿ$ÿ X{}kn{D
` æ ¢ `V5¿ 4@@¡}
B!
!
B!
¨
eA
F
* (;
B 0I
B
B
¤;
(-
+- De-b! D $4I M3;X 4 X; M
( ; X; ¦# 3 ;
B
b$Q(-
A V! b$
V-
-
-- ?§
3$4§
,
V-CC-
>
V 1-
!
- b@ V-
! EA$4 y 3 4 ; - ! $Q-
EA F ; 8
w§ ©C- -7! (; > V-
!A ;
3JF 3JM$Q-
MA
3F b$Q-
:-
-
ED F . (; ? 1 E! Jb$ 1 >-
3
8
8 3 ; e 8
,
V,
!
-
!
ED
;X ;X uJEe!{JM$ A
31
§
¥-
J3F 0I :3Jb$43 eA 1! b$
!
;
'-
-
3JF ! .-C! Jb$Q-
:- ! -
;
F
¥-E! QV (; e
-
B
!
/-!A
!
(-
!
3F
BACA
B!
B
8 4
E$4-
>,
; 4 ; V
b;X
4Q V :-
V4 ;XM