An Assume-Guarantee Rule For Checking SimulationFFF ThomasA

!#"
%$&'(*)+',-%'/..0.
123465879;:=<>@?ACBD?FEG>@HJI2K58AMLN5O>@>@HJIH,BPHQ504SRT:U5CV@504W50?BXI>@HYOF50H157,Z [PHY58?
\%\]^T_`QabCcedefN`Qg0dQhKig8jlkm`Qcenojldoprq@st]bvuwjwsxqmceg8jDb;bCdzy`Qce{m`ul`Qp|h}]~€C‚0ƒm„|…Q†‡vƒ|ƒm…8hKi/^0~
\ˆf‰bQjwuxŠŒ‹YGŽCte‘CŽ|’%e‘|“”@“GŽv•G“–e‘0—C“0˜0Ž|“™vš|—0—0›m‘œžG—|“|ŸG—0 m—|¡œe—|˜@¢
£‰¤¥Q¦Q§@¨G©0¦|ªN«¬G`nojlf­8uDb@dojlq|g‰aGce`Qq|ce®G`Qc%q|gned,bCde`tdec,bCgGnojldojlq|g‰nep0nede`QfNn=jln¯jl®G`ulp
bC°Y°Q`QaGde`Q®‰bCntb/­Gne`sx­0ugqmdojlq|g;qCsce`±gG`QfN`Qg0dQhG²qmde¬jlgNjldenq@¯³gcojl´|¬0dbCgG®Tb@nb@g
`µ‰°,jl`Qg0doulpT°,¬`Y°{mbC²0ul`ne­8µ‰°,jl`Qg0d/°Qqmg®0jldojlq|g¶sxq|cdec,b@°Q`°Qqmg0d,bvjlgGfN`Qg0dQ·K¸qmc°Qq|f†
aqmnojlde`/nep0nede`QfNnQh¹®­G`deqde¬``Qº0aqmg`Yg0dojDbvu`Yº0a8ulqmnojlq|grqCsKde¬G`ned,bCde`neab@°Q`|h0de¬G`Qce`
jln»bTg`Q`Y®¼sxq|c®G`Q°Qq|f»aq|nojlgG´½bTnojlf­8uDb@dojlq|g¾°,¬`Q°,{¶qCsde¬G`Nsxq|cefS¿ÁÀÂKÃÄjlg0deq
nojlfNa0ul`Qcnojlf­0uDbCdojlqmgr°¬G`Q°,{0nqmg‰de¬`°QqmfNaq|gG`Qg0denqCs–¿ÅbCgG®;÷0Ƽ`aGce`Qne`Qg0db@g
bCnene­GfN`†Ç´m­b@c,bCg0de`Q`ce­0ul`/de¬bCd%`QgbC²0ul`Qnne­°,¬;bÈ®G`Q°QqmfNaq|nojldojlqmgF·«qzde¬`z²`Qned%qCs
q|­Gc{0gGqC¯ul`Q®G´|`mhde¬8jln/jlnde¬G`±cenedbCnene­GfN`†Ç´|­bCc,b@g0de`Q`‰ce­8ul`‰de¬bCdb@aa0uwjl`QnNdeq;b
ce`±g`YfN`Qg0dce`uDbCdojlqmgW®8jwÉ}`Qce`Qg0dsxceqmfÊdec,bC°Y`N°Qq|g0d,bQjlgf»`Qg0dQ·%Ë/­Gcce­8ul`Njln°jlce°Q­0†
uDbCcQhb@g®Tjldenneq|­GgG®gG`Qnen/aGceq0qCs%ce`YÌ0­8jlce`Qnjlg®G­G°Qdojlq|g¶q|g;dec,bC°Q`zdece`Q`QnQ·G«¬`aGceq0qCs
jln‰°Qq|gGnedece­G°Qdojlk|`|Š´@jlk|`Qg¾nojlf­0uDbCdojlq|gÍce`uDbCdojlqmgnrde¬bCd‰¯jldeg`YnenÎde¬G`rnojlf­8uDb@dojlq|g
aGce`Qq|ce®G`Qc²`Qdǯ`Q`Qg¶°Qqmcece`Qneaq|gG®0jlg´W°Yq|fNaqmg`Yg0denq@s¿Ïb@g®6Ãh=¯t`aGceq@k|jl®`;b
aGceq0°Q`Q®G­ce`TsxqmcN°Qqmgnedece­G°QdojlgG´Ábr¯jldeg`YnenÎce`,uDbCdojlq|gÁsÐq|c‰¿ÁÀÂK÷%Ƽ`ÑbvulneqW`Yº|†
de`QgG®¼qm­c»bCnene­GfN`†Ç´m­b@c,bCg0de`Q`;ce­8ul`‰deqrb@°Q°Qqm­g0d/sxqmc/sÇbvjlcegG`Qnen‰b@nene­f»adojlqmgnNqmg
dec,bCgGnojldojlq|g¶nep0nede`QfNnQ·
Ò Ó Ô$=',³
eÕ ?N2BP>@HY58HYÖ2BxÖ@50ר>@H,BŒÙ–Ö@58Ú,BP3G?Û@Ü/>?>@>mOÎÚ,3NÖ2>mÖ݉ÞH338ß3Gà×PBPE58Ú,BP3G?7=30ß=Ú,2>ßo3GH,4ÏáãâärÛ
Ü2>@H>;áÊ50?KOWäÊ50H>»7å7,Ú,>C4æO>@7QÖQH,BPÞÚBP3G?7N50?KOçâBP7N5TÞH,>@3HYO>CH3G?W7å7Ú,>@4èO}>@7YÖQHBPÞé
Ú,BP3G?F7m:12>½5077,>@HÚ,BP3G?áêâèäë23G×xO7TBŒßMáXO>@7QÖQH,BPà=>@7¶Ú2>½7Y584¶>¼7,å7,Ú>@4ì587¶ärÛàíÚ
ÞK37,7BDàF×Då¼3G?½5ÎÙK?>CH»×P>@Ø>@×%38ßzO>@ÚY58BP×îÇ3H>mïíBPØG50×P>@?Ú,×PåÛäÊO>@7YÖvH,BPàK>C7‰Ú,2>Î7Y504¼>N7,å7,Ú>@4
507áãàíÚÞ=3G7,7BPà×På¶3G?½5rÖQ350H7,>@H×D>CØG>@×30ß58à7,ÚHY5ÖQÚ,BP3G?=ð@:KñF3GH>vòF584¶Þ×P>GÛá-465|åTàK>T50?
U1ó=ée×P>@ØG>C×O>@7QÖQH,BPÞÚBP3G?r30ß%5ÞBPÞK>C×DBP?>|OTÞH,3ÖQ>@77,3HmÛ50?KOräô465|åàK>58?;Õ,I9!O>@7YÖvH,BPÞÚ,BP3?
30ßzÚ2>r7Y584¶>‰ÞFH,3ÖQ>@77,3GH|:12>r507,7>@H,ÚBP3G?Åáõâöä÷BD7NÚ2>@H,>vßÇ3GH>¶ØG50HBP3Gí7×Då¼ÞH,3?3GíF?KÖQ>mO
507‰øQá!BP4¶Þ×P>@4r>@?Ú7äùÛ úN3H;øQáH>QÙK?>@7äùÛ úÎ3GH‰øQä!7,Þ=>mÖQBŒÙK>@7NárÛ ú»3H‰øYäÏ58à7,ÚHY5ÖQÚ,7ár: ú
û½50Ú2>@4658Ú,BxÖ@58×D×PåÛK5WÞ=3GÞFí×x50HrÖ,2F3GBxÖQ>rßo3GH‰Ú2>¶ÞH>@3GHQO>@HWâBP7rüeýYþÿ Wÿ }ü þ üe:
Õe?Ú,2BP7¶Ö@587,>GÛá âæäê507,7>@H,Ú7WÚ,2K58Úr>@ØG>@Hå7,>mïí>@?=ÖQ>¾30߉BP?ÞíÚ7¶50?KO 3íÚ,ÞíFÚ,7¶Ú2K50Ú
~/gÅb@²²Gce`Qk|jDb@de`Q®k|`Ycenojlq|gÅqCs»de¬8jln;ab@a`Qc¶bCaGa`@b@ce`Q®¾jlg de¬G`
Ǹ r]~+_ h
F`Y°Qde­ce` q|de`Qnjlg¶]q|f»a­Gde`Qcz^8°,jl`Qg°Y`T‡ m„|„8h}^8aGcojlgG´|`Qco† %`QcouDbC´Gh‡v€|€ 0haGaF·‚0„0‡ 0‚ |„0·
«¬8jlnce`Qne`vbCce°,¬r¯bCnne­Gaaqmcede`Q®TjlgrabCced²0p‰de¬`˳µ‰°Y`qCs /bQkmbvu `Qne`@b@ce°¬ %q|­GgG´ Çg0k|`Qnedojw†
´0b@deq|ctbQ¯bCce® /…m…|…8‡Y‚C† € Q†,‡† … m„|…8h¹²0pde¬G` /b@dojlq|gbvu–^0°jl`QgG°Q`z¸q|­Gg®bCdojlqmgr]~ \%\ ½bQ¯b@ce®
]] t† € |…8‡vƒ|… 8h²0p;de¬` zbCdojlqmgbQu%^0°jl`QgG°Q`‰¸qm­gG®b@dojlq|g¶´|c,b@g0d/]] † € |…@‚|‚ |€8h²0p‰de¬G`_³`†
sx`QgGne`~/®GkmbCgG°Q`Q® `Qne`vbCce°,¬ ceq e`Q°Qden~z´|`QgG°QpN´mc,bCg0d ~ „v†,‡@„0‡Q‚h¹²0pNde¬`~zcefp `Qne`@bCce°,¬
˳µ‰°Q` ri /´mc,bCg0d»_~z~ †e…@‚C† € Q†,‡† … @‚‡|h–bCgG®W²0p¶de¬`M^8`Qfjl°Qq|gG®­G°Qdeqmc `Qne`vbCce°,¬½]q|co†
aqmc,bCdojlq|g¶°Qqmg0dec,bC°Qdz€|ƒQ† _/]† |„C‚G·w…@‚‡m·
!#"%$&(')&
*&",+"-.&+0/
12&34
56+/&78"9$&:.;125=<?>@"!A!+CBDEGF 2H
CI
J
LK
M
ON
P
Q SR
K
UT
V
XW
YK
M
M
:K
DT
ZT
:T [M
[P
LK
:T M
S\
T
G] ^
:K `_
YT
aH CT=W
Db
\
R
GT
cR
BP7;Þ=3G77,BPà×P>¼ßÇ3GHráBP7r50×P7,3ÁÞK37,7BDàF×D>¼ßÇ3HÑäêîe50ÚTÚ,2>W7Y584¶>¼Ú,BP4¶>GÛÚ,2F>64¼3GH>650àF7,Ú,HQ5GÖQÚ
7,Þ=>mÖQBŒÙ–Ö@58Ú,BP3G?¶äô465|åN50×P×P30ܾ7,34¶>/Ú,HY5ÖQ>@7Ú2K50Ú/50H,>?F3GÚH,>m58×PBDAC>mOTàå‰Ú,2>4¼3GH>zÖQ3G?=ÖQH,>@Ú>
BP4¶Þ×P>@4r>@?ÚQ50Ú,BP3? áÎð@: 2BP×P>;7BP4¶Þ×P>;58?KOÁBP?ÚíBPÚ,BPØG>ÛKÚHY5ÖQ>6ÖQ3?ÚY50BP?4¼>@?Ú2K587‰7,>CØG>@HQ50×
7,23H,ÚQÖQ3G4¼BD?FEG7m:ñ%BPH7,ÚmÛBPÚTBP7Ñ5çÞHY5ÖQÚ,BxÖ@58×BP4¶Þ=3G7,7BPàBP×DBPÚeåWÚ,3¾Ö2>mÖÝÅÚHY5ÖQ>½ÖQ3G?ÚY58BP?4¶>@?Ú
50íÚ3G4W50Ú,BxÖ@58×P×Då/ßo3GH50×P×àíÚÚ2>7,4W50×P×P>@7,Ú>QòK504¼Þ×P>@7mÛ|à=>mÖ@50íF7,>Ú2>Ö2>mÖÝTBD7³>QòÞK3?>@?Ú,Bx50×
BP?;Ú2>?í4ràK>CHt38ß%7,ÚQ50Ú,>C7z38߈ä!BŒß%äBP7?3?KO>@Ú>@H,4¼BP?BP7,Ú,BxÖ|îe5077,Þ=>mÖQBŒÙ–ÖC50Ú,BP3?7z38ßÇÚ,>C?¶50H,>|ð@:
I>mÖQ3?KOÛBP?;Ú3GÞé,O30Ü?¶O>@7BPEG?%Û0BŒß7,å7,Ú>@4SO>C7YÖQHBDÞFÚ,BP3G?W
á K>C7,2>@73íÚzO>CÚY50BP×Ú2K50Ú³BD7³×D>vßÇÚ
3GÞ=>@?ÁBD?Á7,å7Ú,>@4 O>@7QÖQH,BPÞÚBP3G?ÅärÛ=Ú,2F>@H,>¼BD7‰5¼4ríKÖ2½ÚBDE2Ú,>@HNH,>C×Ð58Ú,BP3G?çàK>@ÚeÜ/>@>@?áS58?KO
äõÚ,2K58?ÅÚHY5GÖv> Öv3G?ÚY58BD?F4¶>@?ډÜ/3Gí×xOÁBP?KOBxÖ@58Ú,> ?K584¶>@×PåÛ>m5GÖ2 BD4¼Þ×P>@4¶>C?ÚQ50ÚBD3?½7,ÚQ50Ú>
30ßá Öv3GH,H>@7,Þ=3G?=O7‰Ú,3¶5T7ÞK>|ÖQBŒÙ–Ö@50ÚBP3G?½7ÚY50Ú>‰30ßzär:F12BP7Ú,BPEG2Ú>@HH>@×x50Ú,BP3?6BP7Ö@58ÞÚ,íFH,>mO
4658Ú,2>@4W50ÚBÐÖC50×l×PåTàå6Ú2>r?3Ú,BP3G?W30ß5 Pþ|ü ¾ý Pþ|ü F:Õe?Ú,íBPÚBDØ>@×PåÛ=äÊ7,BP4rí×x58Ú,>@7
á-B Û=7,ÚQ50H,ÚBP?ErßÇH3G4Ú2>;BP?BPÚBÐ58×7,ÚQ50Ú,>C7;50?KOçÖQ3G?Ú,BP?íBP?EW5GOWBP?ÙK?FBDÚí4#Û>CØG>@Hå½BP?ÞíÚ é
3GíÚÞíÚNÞK58BDH30ß+áõÖ@58?#à=>;4W50ÚQÖ,2F>mO½àåWÚ,2F>r7Y504¼>‰BP?ÞíÚ é 3íÚ,ÞFíÚNÞK50BPHBP?¾
ä wûWBP× :
×P>m50H×DåÛ@BŒß%ä7BP4rí×x50Ú,>C7tárÛ|Ú,2F>@?r>@ØG>CH,åTÚ,HY5ÖQ>38߈áBD7/50×P7,3N5ÚHY5ÖQ>38߈är:|12>Öv3G?ØG>@H7,>
BP7t?F3GÚÚH,í> Ú,2=50ÚBP7mÛ87,BP4rí×x50ÚBD3?NBD7/5N7,ÚH,3G?FEG>@H/H,>mïíBPH>@4¶>@?ÚÚ2K50?TÚ,HQ5GÖQ>NÖQ3G?ÚQ50BP?4¶>C?Ú|:
<30Ü/>@ØG>CHmÛBDÚT2K587;à=>@>@?7Y58BxOÁÚ,2K58Ú;ÚHY5GÖv> Öv3G?ÚY58BD?F4¶>@?ÚNÜBPÚ,23íÚ;7BP4rí×x50Ú,BP3?½BP7‰4¶3H,>
30ßÇÚ>@?¶Ú2K50?W?3ÚOí>‰Ú3ÑÖv3GBP?KÖQBxO>@?=ÖQ>‰HY58Ú,2>CHÚ,2=50?W7,å7,Ú>@4658Ú,BxÖNO>@7BDE? RíH ,:
2BP×P>rÚ,HY5ÖQ>#ÖQ3?ÚY50BP?4¼>@?ډBP7ÑO}>QÙK?>m
O !Qþ #"0ÛßÇ3GHTBP?ÞíÚ é 3íÚ,ÞFíÚ;7>mïí>@?KÖv>@7W30ß
50HàBPÚ,HY58H,å½×P>@?FEGÚ,2Û7,BP4rí×x50ÚBP3G?¶BP7‰O>QÙ=?>m$
O mÿQ%þ "0Û=àå#ÖQ3?7,BxO>@HBP?EWBD?=OBPØBxOí=50×BP?ÞíÚ é
3GíÚÞíÚÞK58BPH,7ßo3GH50×P×7ÚY50Ú>@7m:=ÕeÚBD7Ú2BP7×P3Ö@50×PBPÚeårBP?WÚ,2>;O}>QÙK?BPÚ,BP3?638ß7,BP4rí×x50ÚBD3?;Ú2K50Ú
×P>m5GO7¼Ú,3 7,BPEG?BŒÙ–ÖC50?Ú65OØG50?ÚY58EG>@7|:ñ%BPH7,ÚmÛ/BŒß;ä BP7WÖQ×x50BP4¶>mO Ú3Å7,BP4rí×x58Ú,>6áùÛzÚ2>@?Ï5
ÜBPÚ,?>@77NÚ,3¶Ú2BP7‰ÖQ×x50BP4 ÖC50?ÁàK>TÞH,3Oí=ÖQ>mOÁBP?½Ú,2F>‰ßÇ3H,4õ30ß+5ùH,>@×x58Ú,BP3G?½à=>@ÚeÜ/>@>@?¾7ÚY50Ú>@7
30ßzáÊ50?KO¼7ÚY50Ú>@7N30ßzärÛ=50?KOWÚ2>‰ÜBPÚ,?F>@7,7NÖ@50?½à=>T> &6ÖQBP>@?Ú,×På6Ö2>|Ö,Ý>mO ßÇ3GHÖQ3H,H>mÖQÚ,?F>@7,7
îÇÚ2>‰Ö,2F>mÖÝ6BP7/×PBD?F>m50HBP?¶Ú2>N?í4ràK>CHz38ß7ÚY58Ú,>@730ßá-50?KOWä‰ðC:IíKÖ2WÜBPÚ,?>@77H>@×x50Ú,BP3?7
50H>#ÜBxO>@×Påí7>mOBP?Ø>@H,BŒÙ–ÖC50Ú,BP3?4¼>@Ú,23O7W50?KOÚ,33G×P7mÛ/í?=O>@HWØG50HBD3í7¶?=504¶>C7¶×PBPÝG>
23G4¼3G4r3H,Þ2BP74r'7 wRíF(H %}58?KONH,>vÙK?>@4¼>@?Ú%4658ÞÞBP?E)7 9»*ó 0Ûwóå+? -,.,:mI>mÖv3G?KOÛ|>@Ø>@?‰BŒß
?3ÜBPÚ,?>C7,7BP7t5|ØG50BP×x50àF×D>Û,Ú2>>QòBP7,Ú>@?KÖQ>38ßF5È7,BP4rí×x50ÚBP3G?Ö@58?‰àK>/Ö,2F>mÖÝG>mOÎBP?‰ÞK3×På?F3G4¶Bx58×
Ú,BP4¶>ÎîÇÚ2>;Ö2>mÖݽBP7ïíK5GO}HY50ÚBxÖNBP?6Ú2>‰?í4rà=>@H30ß7ÚY50Ú>@7N30ßzáÊ50?KOçä‰ð@:F12>‰?í4rà=>@H
30ß7,ÚY58Ú,>@7N38ß³5T7å7,Ú,>C4#Û2F30Üz>@Ø>@HmÛ=O>@Þ=>@?KO7N>QòÞ=3G?>C?ÚBx50×P×Pår3G?½Ú2>‰7,BPA@>Î30ßÚ,2>Î7,å7,Ú>@4
O>@7QÖQH,BPÞÚBD3?ÏîÇ?F3GÚ,>çÚ,2K580Ú /ôàK33G×P>m58?ØG50H,Bx58à×P>@7rEGBPØG>WHBD7>½Ú,
3 127,ÚQ50Ú>@47 3Ú,2FBD7¼BP7¶Ú,2F>
Qü þ¹ü 65 78+
8Ký -!
rðC:12í7mÛ>@ØG>C?Å50×PEG3H,BPÚ,24¼7Ú,2K58Ú;50H>r×PBD?F>m50HNBP?#Ú2>r?í4rà=>@H
30ßz7ÚY58Ú,>@7r50H>r30ßÇÚ>@?#BP?ßo>m507BDàF×D>TBP?#ÞFHY5GÖvÚ,BxÖQ>GÛ50?KOçÚ,>|Ö,2F?BxïGíF>@7;2=5|ØG>TàK>@>C?Å7,ÚíKOBP>mOçßÇ3H
OBPØBÐO}BD?FE;5‰EBPØG>@?WØG>CH,BŒÙ–Ö@58Ú,BP3G?¼ÚY507ݶBP?Ú,3r7BD4¼Þ×P>@H7íàÚY587,Ý7m:
3G4¶Þ=3G7BPÚ,BP3G?K58×Ú,>|Ö,2F?BxïGíF>@7ßÇ3GHOBPØBxOBP?E‰Ú2>‰ØG>CH,BŒÙ–Ö@58Ú,BP3G?½ÚQ507Ý6á-âäöBP?Ú,3r7BP4ré
Þ×P>@H7íàÚY587,Ý750H,>EGíBxO>|OTàåÎÚ,2>7,Ú,HíKÖQÚíH,>@730ß%áÏ50?KOräù:0Õoß%Ú,2>H,>QÙ=?>@4¶>C?Ú³H,>@×x50ÚBP3G?
âÍBP7BP?Ú,>CH,ÞH>@Ú,>mO¼507ÚHY5ÖQ>‰ÖQ3G?ÚY58BP?4¶>@?Ú|Û¹5?í4rà=>@H38߈ÖQ34¶Þ=3G7BDÚBP3G?K58×Ú>mÖ2?Bxïí>@750H>
Ý?30Ü?%:mI}ÞK>mÖvBlÙÖ@50×P×PåÛCBŒßF:
á 9!<á ;=m?á >50?=O‰@
ä 9!ä ;=mAä >8Û@Ú,2F>@?;BP?‰3HYO>CH%Ú,3NÖ2>mÖÝ;áãâärÛ
BPÚz7Bí &6ÖQ>@7Ú3ÑÖ2>mÖÝWà=3GÚ,2Wá ; âä ; 58?KO¶á > âä > :12BP7‰ÿ C8 Pü Kþ D8Ký =ÿ E8
駂3H
Ú,HQ5GÖQ>;Öv3G?ÚY58BD?F4¶>@?ÚBP7ÞH,3ÞK37,BPÚ,BP3?K50×P×PårØG50×PBxO¼Ü2>@?>@Ø>@HNÞK50HQ50×P×P>@×tÖv3G4¶Þ=3G7BPÚ,BP3G?¶ÖQ3H,H>Qé
7,Þ=3G?KO}7»Ú3WÚ,HY5ÖQ>¶BP?Ú,>CH,7,>|ÖQÚ,BP3G?îoH,>@ÞF×Ð5ÖQF> =Tàå#ÖQ3G?|VQí?KÖQÚBP3G?%Û%58?KO âöàå½BP4¶Þ×PBxÖ@50ÚBP3G?KðC:
G?ßo3GH,Úí?K58Ú,>@×PåÛ0Ú,2>‰ÖQ34¶Þ=3G7BDÚBP3G?K58×ÞFH,BP?KÖQBPÞ×P>BP7/30ßÇÚ>@?¶?F3GÚ/2>@×PÞßÇí×eÛ0à=>mÖ@58í7,>Tá ; ÚeåÞBŒé
Ö@50×P×PåTH,>QÙK?F>@7»ä ; 3?×PårÜ2>@?½ÖQ3G?F7,Ú,HQ50BP?>mO¼àå¶50?W>@?ØBPH,3?4¶>@?ÚÚ2K50Úà=>@2K5|Ø>@7×PBPÝG>»á > Û
50?KO¼7BD4¼BP×Ð58H,×PåGÛGá > 465|åTH,>vÙK?>rä > 3G?×På¶Ü2F>@?½ÖQ3G?7Ú,HQ50BP?>mOWàåW50?W>@?ØBDH3G?4¼>@?ÚzÚ2K50Ú
àK>C2K5|ØG>@7×PBPÝG>Há ;m: GÈ?KO>@HÖv>@H,ÚQ50BP?W4¶3O>@×PBP?E‰5077,í4¼ÞÚ,BP3G?F7îo?K504¼>@×PåÛ0?F3G?à×P3Ö,ÝBP?E;58?KO
ÙK?BPÚ,>T?3?KO>@Ú>@H,4¼BD?FBD746ðCÛÚ,2F>¶ÖQ3G4¼ÞK37,BPÚ,BP3G?=50×ÞHBD?=ÖQBPÞ×P>¶Ö@50?ÁàK>r7Ú,H>@?EGÚ2>@?>|OÅÚ3½50?
!O
!O
O
1
!O
.
þ 654 þ8ýYþ }ü 8=ý Kÿ E8
wIÚQ5 Û ó
û Û ‰*ó Û 9»*ó Û 9»< ,Ûwû½Ö@ûF-=BP?#3HYO>@H
Ú,3¶Ö2>mÖݽáÊâäùÛBDÚ7,íB&6Öv>@7Ú36Ö2>mÖÝWàK3Ú,2#áH; =|äA>Nâä ;»50?KOçä; =má?>MâäA>0:12FH,>@>
3Gà7>@H,ØG58Ú,BP3G?F7M58àK3íÚNÚ,2BP7‰ÞFH,330ßH,í×P>r50H>rBD4¼ÞK3H,ÚQ50?Úm:=ñ%BPH7,ÚmÛÚ,2F>rH,í×P>r5GOOH>@7,7>@7rÚ,2F>
BP7,7,íF>6Ú2K50ÚrÚ2>W>@?ØBDH3G?4¼>@?Ú;38ßMHá ;r465|å½2=5|ØG>WÚ,3ÁàK>ç7,íBPÚY58à×PåÅÖQ3G?F7,Ú,HQ50BP?>mO BP?3GH é
O>@HTÚ,3ÁBP4¶Þ×P>@4¼>@?Ú»ä ; Ût58?KO¾7BP4¶BP×x50H,×På¼ßÇ3HÑá > :I>mÖQ3?KOÛ³Ú,2>¼H,í×P>65|Ø3GBxO7‰H>m5073G?BP?E
50à=3GíÚÚ,2>rÖQ34¶Þ=3Gí?KO¼BP4¶ÞF×D>C4¶>@?ÚY58Ú,BP30?6á ; =|á > Û=Ü2BxÖ,2çÚeåÞFBÐÖC50×P×På¶2K587»Ú2>‰×x50HEG>@7ÚN30ß
Ú,2>BP?ØG3×PØG>mOÎ7,ÚQ50Ú,>7,ÞK5ÖQ>@7|:12BPHYOÛ0íF?×PBDÝ>Ú,2>Öv3G4¶Þ=3G7BPÚ,BP3G?K58×ÞH,BP?KÖQBPÞ×P>GÛ8Ú,2>N507,7í4¶>vé
EGíK58HY58?Ú>@>ÞFH,BP?KÖQBPÞ×P>BP7ÖQBPHQÖQí×x50H50?KOùÚ,2>CH,>QßÇ3H,>‰?F3GÚ/ÞH,3ÞK37,BPÚ,BP3G?=50×P×På;ØG58×DBx-O 3BPÚ,7ÞH330ß
H,>mïíBPH>@7BP?KOí=ÖQÚ,BP3G?¼3G?WÚ,2F>»×P>@?FEGÚ,2W38ßtÚ,HQ5GÖQ>C7m:
åÅÖQ3?Ú,HY587,ÚTÚ,3½Ú2>½Ö@507>¶38ßÚ,HY5ÖQ>½ÖQ3G?ÚQ50BP?4¶>C?Ú|Û=BlßÚ2>¶H>QÙK?>C4¶>@?ÚTH,>@×x50ÚBP3G?â
BP7rBD?Ú>@H,ÞH>@Ú,>|O587Åø,BP7r7BD4ríF×Ð58Ú,>mOÁàåÛ ú#Ú2>@?!×DBPÚÚ,×P>¶BP7¶Ý?30Ü?58àK3íÚ¶ÖQ3G4¼ÞK37,BPÚ,BP3?K50×
Ú,>mÖ2?FBÐïí>C7r3GÚ,2F>@H;Ú2K50? Ú,2>¼ß 5ÖQÚTÚ,2K58Ú;Ú2>½ÖQ3G4¼ÞK37,BPÚ,BP3G?=50×ÞH,BP?KÖvBDÞF×D>¼H,>@4W50BP?7‰ØG58×PBÐO
Ü2>@?>CØG>@H¼ÞK50HQ50×P×P>@×»ÖQ34¶Þ=3G7BDÚBP3G?ÅÖQ3H,H,>C7,Þ=3G?KO7çÚ,3¾Ú,2F>½BP?Ú>@H,7>mÖQÚBD3?38߉Ú,H,>C>@7WÜ23G7>
àHY58?KÖ2>@7r50H>rÚ,HY5ÖQ>@7¼îÇÚ2BP7‰BP7‰àK>|Ö@50í7>½ä7BD4ríF×Ð58Ú,>@7‰á÷#B Å>@ØG>@Hå¾Ú,HQ5GÖQ>¼Ú,H,>C>¶30ßáõBP7
50×P7,3¾5çÚ,HY5ÖQ>½ÚH,>@>½38ßMä‰ðC:Õe? ÞK50HÚ,BxÖQí×x50H|ÛBPÚrÜz3í×xO¾à=>6íF7,>QßÇíF×Ú,3¾2=5|ØG>658?507,7í4¶>vé
EGíK58HY58?Ú>@>‰ÞHBP?KÖQBPÞ×P>‰ßo3GH7BP4rí×x50Ú,BP3?%ÛGÜ2FBÐÖ2%Û=EBDØ>@?½ÜBPÚ,?F>@7,7>@7NßÇ3HÚ,2F>;ÚeÜ/3¶7íàÚY587,Ý7
á ; =mAä >ùâ ä ;‰50?=O#ä ;=m?á >ùâöAä >Gۈ×D>CÚ,7Ní7;ÖQ3?7,ÚH,íKÖvÚÑ5¼ÜBPÚ,?>C7,7NßÇ3H‰áõâ är:Õe?ÁÚ,2FBD7
H
ÞK50Þ=>@H|ÛÜ/>67230ÜõÚ,2K58Úrí?KO>@H¼Ú,2>ç7Y504¼>¶4¼3}O}>@×PBD?FE#5077,í4¼ÞÚ,BP3G?F7;í?=O>@H¶Ü2FBÐÖ2Ú,2F>
5077,í4¼>Qé EíK50HQ50?Ú,>C>‰ÞH,BP?KÖvBDÞF×D>TBP7N7,3GíF?KOWßo3GHÚHY5ÖQ>¶ÖQ3G?ÚQ50BP?4¶>C?Ú|ÛBPÚNBP7»50×P73673Gí?=OWßÇ3H
7,BP4rí×x50ÚBP3G?%:%I}>mÖQ3G?=OÛÜ/>½7,230Ü2F30ÜÚ,2>¾ÖQ3G4¼ÞK3í?KO ÜBPÚ,?>C7,7½Ö@50?ôàK>¾ÖQ3G?F7,Ú,HíKÖQÚ>mO
ßÇH,34 Ú2>ÁÜBDÚ?>@77,>@7Wßo3GH¶Ú2>Á7,íàÚQ507Ý7|:/12BPHYOÛ/Ü/>#7230ÜÚ,2K58Ú¶BP?58?K50×P3GEåÅÚ3ÅÚ,2F>
Ö@507>½30߉ÚHY5GÖv>#ÖQ3G?ÚQ50BP?4¶>C?Ú|Û%Ú2>#587,7,íF4¶>QéeEGíK58HY58?Ú>@>½ÞHBP?KÖQBPÞ×P>¼ßÇ3GHr7BD4ríF×Ð58Ú,BP3G?¾Ö@58?
àK>r>vò}Ú>@?KO>|O¾Ú,3Á5GÖ@ÖQ3í?ÚNßÇ3HNß 50BPH?>@7,7T507,7í4¶ÞFÚ,BP3G?7NBP?¾7,å7Ú,>@4 O>@7QÖQH,BPÞÚBP3G?7|:97‰BP?
Ú,2>‰Ö@587,>N30ßÚ,HQ5GÖQ>‰ÖQ3?ÚQ50BP?4¼>@?CÚ 9»'ó Û 9»C< -,,ÛÚ,2>NÞH338ßt38ßt7,3í?KO?F>@7,7H,>mïíBPH,>C7Ú,2F>
4¶3O>@×PBP?E‰5077,í4¼ÞÚ,BP3?¶30ßH,>mÖv>@ÞÚ,BPØ>@?>@77 BP× 6,:
&8
0
.
!
"
!
"
=ª ªK^8a`Q°jw±°@bCdojlqmgnqCs%ne`QgG®G`Qcb@g®rce`Q°Y`jlk|`Qc
#%$& ('
¾>6BP×P×Pí7,ÚHY58Ú,>WÚ,2>Á507,7í4¶>vé EíK50HQ50?Ú,>@>çH,í×P>WßÇ3Hr7,BP4rí×x50ÚBP3G?¾í7BD?FEÅ50?>QòK504¼Þ×P>G:
ñ BDEíH,> ‰7,2F30Ü7Mû 33H,>Qée465Ö2BP?>‰7,Þ=>mÖQBŒÙ–ÖC50Ú,BP3?7ßÇ3GHN5r7,>C?KO>@H*),+58?KOÁ5rH,>|ÖQ>@BPØG>@H.-/+
BP?#5WÖQ3G4¼4rí?BxÖ@50ÚBP30?¶ÞH3GÚ,3ÖQ3×e:105GÖ2Á7,ÚQ50Ú,>rBP7N×x50à=>@×P>mOçÜBDÚ2½3GíFÚ,ÞíÚ7‰Ú,2=50ډ50H>rÚ,H,íF>
2
=ª ª ofNa0ul`QfN`QgGfd,bCdojlq|gGnqCsne`Yg®G`Qcb@g®rce`Y°Q`jlk|`Yc
#%$&
W
BP?¶Ú,2=50Ú7,ÚQ50Ú>GÛ50?KO¼>m5Ö,2Á50HYÖBP7×x50à=>@×P>mO¼ÜBPÚ,2½ÖQ3G?=OBPÚ,BP3G?73?WBD?FÞíÚ,7Ú2K50Ú?>@>mO Ú,3rà=>
7Y58Ú,BP7eÙK>|OçßÇ3GH‰Ú2>658HYÖùÚ,3½à=>rÚY58ÝG>@?%:97ÚY50Ú>¶ÜBPÚ,2¾?F3½×x50à=>@×z4¼>m50?F7»Ú2K50ÚÎ?3½3GíFÚ,ÞíÚ
ÞH,3ÞK37,BPÚ,BP3?7»58H,>TÚ,H,íF>rBD?ÁÚ,2=50ÚN7,ÚQ50Ú,>Û%50?KOÁ50?Á50HYÖTÜBPÚ2½?3W×x50à=>@×4¶>m58?7Ú2K50ÚNÚ,2F>@H,>
BP7»?F3 Öv3G?KOBPÚBD3?#3?#BP?ÞFíÚNÞH,3ÞK37,BPÚ,BP3G?F7‰Ú,3WÚY58ÝG>TÚ,2K58Ú;50HQÖ0:12>rBP?BPÚBÐ58×7,ÚY58Ú,>@7 +T30ß
Ú,2>Î7,>@?KO}>@H;50?=O M+ 30ßÚ,2>TH,>|ÖQ>@BPØG>@H‰58H,>T4650HÝG>mO¼í7BP?E¶50HH,30Ü7m:=12>Î7,>@?KO}>@H‰2K5873G?F>
3GíÚÞíÚÞFH,3GÞ=3G7BPÚ,BP3G?%Û8?K504¼>@×På KÛÜ2BxÖ2rBP7Ú,Hí>NÜ2>@?>CØG>@H5N4¶>C7,7Y58EG>BP7/ÞH,3OíKÖv>mOÛ
50?KOÎ3G?F>BD?FÞíÚÞH,3ÞK37,BPÚ,BP3?%Û0?K584¶>@×På Û0Ü2BxÖ2TBD7³í7,>mOTÚ3‰5GÖÝ?30Ü×P>mOEG>Ú2>H,>|ÖQ>@BPÞÚ
30ß%5N4¶>C7,7Y58EG>àåTÚ,2>H,>mÖQ>CBDØ>@Hm:12F>H,>|ÖQ>@BPØG>@H2=507 r587zBPÚ,7³3G?×PåT3GíÚÞíÚÞH3GÞ=3G7BDÚBP3G?
50?KO ;587tBPÚ7t3?×På‰BP?ÞíÚÞH3GÞ=3G7BDÚBP3G?%:|12>/7,>@?=O>@H/7,ÚY58H,Ú73 658Ú + 58?KOÎ7,ÚY5|å7Ú,2F>@H,>
ßÇ3GH/50?658H,àBPÚHY50Hår?í4ràK>CH30ß%7Ú,>@Þ7|:ÕeÚ/?3G?=O>@Ú,>CH,4¶BP?BP7Ú,BxÖ@50×P×På‰ÞH3OíKÖQ>@75Î4¶>C7,7Y58EG>àå
4¶30ØBP?EWÚ,3 +; : ?KÖQ>çBD? +; Û³BPÚrBD7ùßÇ3GHQÖQ>mOÚ3¾4¶30Ø>¶Ú,3 +> BD?3?>W7,Ú,>CÞ%:/12>@?%Û/Ú,2F>
7,>@?=O>@HrÜ50BPÚ,7‰BP? +> í?Ú,BP×zBPÚTH,>mÖv>@BPØG>@7¶58? : ?ÅH,>|ÖQ>@BPØBD?FE#Ú2> BDÚÎEG3>@7TàK5GÖÝ
Ú,3 + :%12>¼H,>mÖv>@BPØG>@Hr7ÚY50HÚ,7¶58Ú + 58?KOÁ4¶30Ø>@7NÚ,3 +; 3G?¾7,>C>@BP?E 5 K:ÕeÚT7,ÚQ5|å7;BP?
+; ßÇ3GH50?½58H,àBPÚ,HQ50Hår?íF4ràK>@H/30ß%7Ú,>@ÞF7»50?=Or?3?KO>@Ú>@H,4¼BD?FBD7Ú,BxÖ@58×D×PåT4¶30Ø>@7Ú,3 +> :9ÈßÇÚ,>@H
5GÖÝ?30Ü×P>mOEBD?FE;50Ú +> ÛÚ2>NH,>mÖv>@BPØG>@H4¶30ØG>C7zàK5ÖݶÚ,3 +BP?¶Ú,2F>‰?>QòÚ7,Ú>@Þ%:
ñ%BPEíH,C> 1N7230Ü7/BD4¼Þ×P>@4r>@?ÚY58Ú,BP3G?F7%30ßÚ,2F>7,>C?KO>@/H )¾58?KOTH,>mÖv>@BPØG>@/H -T:Õoß )ÁH,>mÖQ>CBDØ>@7
50? Ü2BP×P>z50Ú ÛCBPÚ%EG3>@7Ú,358?½ø,>@HH,3Heée7,ÚY58Ú,>@ú ÛQßoH,3G4!Ü2BxÖ2NBDÚÝG>@>CÞ7%7>@?KOBP?E4¶>@7 é
7Y58EG>@7BP?r>@Ø>@H,år7Ú,>@Þ:IíKÖ2¶5Nà=>@2K5|ØBP3GHBP7?3Úz50×P×P30Ü/>mO‰àåTÚ,2>7,Þ=>mÖQBŒÙ–Ö@58Ú,BP3G? ),+,:12í7mÛ
),+}O}3>C7t?F3GÚ%7BP4rí×x50Ú,%
> )/:G<30Ü/>@ØG>CHmÛ05|ßÇÚ>@HtÖv3G4¶Þ=3G7BP?EÜBPÚ,2NÚ,2>/7,Þ=>mÖQBŒÙ–ÖC50Ú,BP3?;38ß}Ú2>/H,>Qé
ÖQ>@BPØG>CHmÛBPÚBP7z7>@>@?WÚ,2=50Ú )= - +â %),+,ÛGà=>mÖ@58í7,>Î?3;5GÖÝ?30Ü×P>mOE4¶>@?Ú7zÖ@50?¼àK>H,>mÖv>@BPØG>mO
àå )öÜ2FBD×P>½50Ú :12>½H,>C×Ð58Ú,BP3G? $9 î + + ðCÛlî ; + +; ð@Ûî > +; +> ð@Û
î > +> +> ð TBP75TÜBDÚ?>@77Ú,3rÚ2BP77BD4ríF×Ð58Ú,BP3G?:GIBP4¶BP×x50H×DåÛ - +tO3>@7?3GÚ7BD4ríF×Ð58Ú,> -;Û
àíÚ ),++= -â -/+ÜBPÚ,2TÚ,2F>zH>@×x50Ú,BP3? F9 î +
+ ð î +;
+ ð î +> ;
+; ð
î +> > +> ð ‰507/ÜBPÚ,?>C7,7m:FÕe?6I>|ÖQÚ,BP3G? 2FÛÜz>ÞH,30Ø>»Ú2K50Ú/Ú,2F>»>vò}BP7Ú,>@?KÖv>;38ß%7,BP4rí×x50ÚBD3?
H,>@×x58Ú,BP3G?7ßÇH3G4 ) = - +Ú,3 ),+50?KOÎßoH,3G4 ),+ = -ôÚ,3 - +=BD7³7,Bí &6ÖQBP>@?ÚÚ3;ÖQ3?KÖQ×PíKO>Ú,2>>Qòé
BP7,Ú,>C?KÖQ>38ßt5‰7BP4rí×x50Ú,BP3?»H>@×x50ÚBD3? !ßÇH,34 ) = -ôÚ,3 ),+ = - +eÛ58?KOTEGBPØG>5MÞH,3ÖQ>mO}íH,>‰Ú3
!#"
%$'&(
)$'&(
+ *!#"
,
)-
.
/
,
3 0$'&( 1-
4 2$'&(
5
6!#"
!
7
! 8 %$'&(
9;:
7<
! BAG
D E D ,=9>
BAG
E D FAC
D E D FAC
D E D D BAG
D E D FH
I<
D @? BAC D E D 4=KJ
L? BAG D E D FH
NM
D BAC
D E D D
ÖQ3G?F7,Ú,HíKÖQÚ rÛ0ßoH,3G4 50?KO :ñ3Hz3íH>QòK504¼Þ×P>GÛ0Ú2>NÜBDÚ?>@77z7BD4ríF×Ð58Ú,BP3G?ÎH,>@×x50ÚBP3G?
öBP7 î
+ + ð î ;
+ ; + ð î > %;
+> + ; ð î > >
+> >+ ð :
ñ3H7,BP4¶Þ×PBxÖQBPÚeå/Üz>íF7,>zûW33H,>4W5GÖ2BP?>@7îÇÜBPÚ,2Î×D3Ö@58×GIÚ,H>@>@ÚÚÖv3G?KOBPÚBD3?7YðˆÚ,34¼3}O}>@×
7,å7,Ú>@4¶7|: íH‰H>@7,í×PÚ7Ñ58ÞÞ×På½Ú,3ç3GÚ,2F>@H;?F3G?à×P3Ö,ÝBP?E=ÛÙ=?BPÚ,>@×På½?3?KO>@Ú>@H,4¼BP?BP7,Ú,BxÖ0ۈH,>Qé
ÖQ>@ÞÚBPØG>4¶3O>C×D77íKÖ26507Èî ñ=50BPHYðU>|5GÖQÚBDØ>ûW3Oí×P>@C7 9NC< , ,:GI>mÖQÚBP3G? 1‰O>vÙK?>@7ûW33GH>
465Ö,2FBD?F>@7Ñ58?KO >@7,ÚQ50à×PBP7,2F>@7WÚ,2>#Öv3G??>|ÖQÚ,BP3G?ôàK>@ÚeÜ/>@>@?!Ú,HQ5GÖQ>vé ÚH,>@>¾ÖQ3G?ÚQ50BP?4¶>C?Ú¶58?KO
7,BP4rí×x50ÚBP3G?%:0Õe?¾I>mÖvÚ,BP3G? 2ùÜz>TÞH30ØG>‰Ú2>;ØG58×PBÐO}BDÚeår38ßzÚ,2F>Ñ587,7,íF4¶>QéeEGíK58HY58?Ú>@>‰Hí×P>‰ßÇ3H
Ú,2>N7BD4ríF×Ð58Ú,BP3G?rÞFH,>@3HYO>@H‰58?KOWO>@7YÖvH,BPàK>T230ÜÚ2>;ÖQ34¶Þ=3Gí?=OrÜBPÚ,?>C7,7N7,BP4rí×x50ÚBP3G?TH,>Qé
×x50Ú,BP3?½BP7MÖv3G?7Ú,H,í=ÖQÚ,>mO ßÇH3G4ëÚ,2>rÜBPÚ,?F>@7,7>@7‰ßo3GH‰Ú2>¶ÖQ3G4¼ÞK3?>@?Ú,7|:%I>mÖvÚ,BP3G? ½O>QÙ=?>@7
7,BP4rí×x50ÚBP3G?r3G? ß 50BPH»û 33H,>T465Ö,2FBD?F>@7m:F12>;5077,í4¼>QéeEGíK58HY50?Ú>@>;Hí×P>NßÇ3Hß 58BDH7,BP4rí×x5|é
Ú,BP3G?¼BP7ÞH,30Ø>@?WBD?WI>mÖQÚBP3G? :
M
9M
= >
7? BAG D E D AG D E
= J
D BAG D E D AC
D E
D BAC
D E D AC
D E
D FAC
D E D AC
D E FH
8-
)',-,',³
%,',³Á $"',
K9ÊûW33GH,>Î465GÖ2BP?>NBP7»5TÚíÞ×P>rá 9 ) "! # -$
Ü2>@H>
%% )&(Í 'BP7)Ú2>‰BD77,>CÚÚ230>‰ßBP?7,ÚQBP50Ú,BxÚ,58>C×7m7,Û ÚQ50Ú,>Û
%% ! Å BPBP77Ú,Ú22>N>‰77,>@>CÚÚ3830ßtßBP?3GíÞÚíÞÚíÞFÚH,Þ3GÞ=H3G3GÞ=7BP3GÚ,7BPBD3GÚ?BP3G7|?Û 7OBP7DVQ3BP?Ú³ßÇH3G4 » Û
+rî ! zðNBP7;5ùßÇí?KÖvÚ,BP3G?¾Ú2K50ډ×x58àK>@×P7N>m5Ö,2 7,ÚQ50Ú,>¼ÜBPÚ,2ÁÚ,2>¼7,íà7>@ÚT30ß
% 3G# í ÚÞ1í)Ú*ÞH),
3GÞ=3G7BDÚBP3G?7ÚH,í>‰BP?¼Ú,2K58Ú7,ÚY58Ú,>GÛ=50?KO
% 7,-$2.3H,-Ú2K50)?KOù/0ßÇ3r+HNîî 3 ð1/ +xð4)2' ! -$BP+7N: Ú,2>TÚ,HQ50?7BDÚBP3G?ÁH,>@×x50ÚBP3G?%:¾>‰ÜHBDÚ> -$ î "3 +DðN507
A
D D
D
D
D
E
D
D
D D ¾>½H,>C7,Ú,HBxÖQÚ½3GíFH650ÚÚ,>@?ÚBD3?Ú,3ûW33GH>#4W5GÖ2BP?>@7WáX7Y58Ú,BP7eßÇåBP?E¾Ú2>½ßo3G×P×P30ÜBD?FE#ÚeÜ/3
ÞH,3ÞK>CH,Ú,BP>@7 G$
: 5 +!
m7ÿ 6 B ñ3H;50×P× 8' ) 58?KO 3 - ÛÚ,2>CH,>W>QòBP7,Ú,7r5ç7,ÚY58Ú,0> 9Á7,íKÖ2ÅÚ2K50Ú
-$î 3 ;: ð@:
1$
: < Pü = vü @ý .%ñF3GH‰50×P× >' )Û 3 - Û%58?KO ?>- ! Û=Ú,2F>@H,>W; 50H,>¶58Ú
4¶37,Ú5NÙK?FBDÚ>N?íF4ràK>@H38ßt7ÚY50Ú>@@7 9¼7íKÖ26Ú2K50/Ú -$î "3 A: ð58?KO # Èî : <ð 9?:
BDCFE
G
HIKJFE
DEL
G
9ÏîxÙK?FBDÚ>3GHBP?ÙK?BPÚ>mð³ü ý +BD757,>CMÚ 9>-ÍÕ NPO/7,í=Ö,2rÚ2K50Ú
BŒRß Q/0'F9Û8ßÇ3GMH Q>'WÕ NSO58?KO /8'6Õ N‰ÛÚ,2>@0? Q>'T9r58?KDO Q U'T9Îßo3GHz58×DW× VYX UZ$/:G12F>
>@×P>@4¶>C?Ú738[ß 9WH,>CÞH,>@7>@?Ú;?F3}O}>@(7 Ú2>T>@4¶ÞÚeåWÜ/3GHQFO \BD7NÚ2>;H33GÚ38[ß 9Û50?=OWßÇ3H>m5Ö2
?3O1> Q%ÛCÚ,2>/?3O>@738ßKÚ,2F>ßÇ3H,*
4 Q/ÛQßÇ3<H /0'WÕ N‰ÛG58H,>/Ú,2>Ö2BP×xOH,>@?Î30]ß Q:|12>z?í4rà=>@H30ß
Ö2BP×ÐO}H,>@?¼30ß%?3OS> Q¶BP7zO}>@?3GÚ>mO¼à_å ^a` Aî QKðC:G9!Ú,H>@b> 9rBP7³ÙK?BPÚ,>Blß 9TBP75NÙ=?BPÚ,>7>@Úm:12F>
= 8ü c30ߖ5?3OP> 9d'TQTBP7O>QÙ=?>mOTBP?KOíKÖvÚ,BPØG>@×På;587ßÇ3G×P×P30Ü(7 8(î mðÚ2>+O}>@ÞÚ,2r38Rß \BPK7 VÛG58?KO
î 1ðBŒß–Ú2>O>@ÞÚ2¶38ß Q>'T9TBPM7 ^=Û0Ú2>@?¶Ú2>»O}>@ÞÚ,2r38ß Q+/ùBPM7 ^Ke:0ÕoRß 9TBP7Ù=?BPÚ,>GÛÚ,2>C?¶Ú,2F>
O>@ÞÚ2½30Mß 9¼BP7O>QÙK?F>mO#587Ú2>‰465¹òBD4Tí4-30ßzO>@ÞÚ27N30ØG>@H58×P×%?3O>@730Mß 9:F12>‰?3O>@7
f ¸qmcNnojlfNa0uwjl°jldop|hz¯`;°Qq|gGnojl®`Yc Tq0qmce`rf‰bC°,¬0jlg`Qn;¯jlde¬ÁnojlgG´Cul`rjlg8jldojDbQuned,bCde`QnQ·tË/­GcNce`Qne­0ulden
bCaGa0ulp jws+de¬`Yce`Tb@ce`Tf­8uldojla0ul`rjlg8jldojDbQuned,bCde`YnQhb@nulq|gG´6bCnNde¬G`Îjlg0jldojDbvu+ned,bCde`QnNn,b@dojlnosxp¼±g8jlde`
gGq|gG®`Qde`Ycefjlg8jlnef;Šsxq|cbQuw1u gDhji1khKde¬`Qce`ÑbCce`‰q|g0ulp½bαg8jlde`;g0­f²`Qc»qCsjlg8jldojDbQuned,b@de`Qbn l
ne­G°¬rde¬bCMd m2k nl 2og8·
a
)
:
?
G
D
D
D
D
#"
GH
ZF 0I
0
30ß29TÜBPÚ,2r?3;Ö2BP×xOH>@?¶50H>»Ö@58×D×P>mO Qþ 6t38ß9:09:8}þ¹ünc;38ßR9TBP7z5»ÙK?BPÚ,>3HzBP?ÙK?FBDÚ>z7>@Ú
D- 9Î30ß?3O>@7Ú2K50Ú³7Y50ÚBP7eÙK>@7³Ú,2>/ßÇ3×P×D30ÜBP?E/Ú,2FH,>@>NÖQ3G?KO}BDÚBP3G?7 î(|ð\['=Ûî41GðˆßÇ3GH>m5Ö2
?3O@> Q>'KÛÚ2>@H>‰>QòBP7,Ú,758Ú4¶37,Ú3?> /8'WÕ NôÜBDÚ2 Q/0'KÛ58?KOWî 2Gð³BlßQ/8'=ÛÚ,2>C?
Q'K: NBPØG>C?#5¼ÞK50BPH38ßz7,>CÚ,7 50?=
O rÛ%58? 5 Pþ ! "=rüeý ÎBP7»5ùÚ,H,BPÞ×P> n9 Û
Ü2>@H> 9rBP75TÚ,H>@>GÛ G9 )ÏBP75T?3O>N×x50à=>@×PBP?EÎßÇí?KÖQÚBP3G?¶Ú2K50Ú4W50Þ7/>m5Ö,2ç?3O>N30ß
9rÚ3¶50?¶>C×D>C4¶>@?Ú/BD? TÛ50?KO 9_/09 )ÊBP7+58?6>|OEG>N×x50à=>@×PBP?ENßÇí?=ÖQÚ,BP3G?WÚ2K50Ú4W50Þ7
>m5GÖ2T>mOE> nQ Q/ 302ß 9‰Ú3M58?;>C×D>C4¶>@?ÚBP? r:812>@?%Û0>CØG>@HårÞK50Ú2 9 \ / / / ; 30]ß 9ÎEG>C?>@HY58Ú,>@7/57>mïí>@?KÖv> Îî )ð 9 î \Qð î \ / ð î / ð 4î / / / ; ð î / / ; ð BP? j/Áî /»ð O j/Áî /»ð !:
.
S
D
/A
D
%A
NA
E
?
D
A
"$#
(
(
"$#
E
"$#
(
(
"&%
(
"&%
132+4
(
"$'
"$'
)&56/7 "$#
(
(
D
(
(
(
132$2+4
(
D
E A
(
)+* ",.-
)&* "/,0(
(
D
D
(
D
(
D
D 8D
E
H
E
)+56/7 (
8:9;=<>?<:@ABDCFEHG.IJ$KIL$J$MMONPJOL$QRMSPTPJ$MVUWG.X&QCFIMYZCFI
[?CF\KJ$M]^_G0IR`a@A$A$BDCFEOL$QMHXPJ$J$Mcb
E$dePIR`TCFI\L$J&G.XMOL$J$MM
fHgh0iejkhllnmpoqnrtsvuxwzy{}|~+€‚| ƒ&„+…$†3w‡_ˆ.†vˆ‰VŠ&‹cˆ0ˆyŒe~Ž~T„}u&_‘c’Šc’_wTŠxn€“ƒx”–•0|H—
wTg_‰˜qoR‹wT†™†xˆ‰›šˆ0uyœ}~œ=ž„OŸ ˆ’=w¡ˆ¢H|£€n€œ=ƒ0~R€œ}~œ=žƒ0~ž€$œ_žƒcƒ0¤ž¥OoRŠ&ˆŠc’_wTŠVq/o‹wg§¦
‰eˆ0¨©Šc’Ž—rª’_wTu wTŠ:†™ˆwTucŠxog©ˆO‹c©gŠ&‹cˆ0ˆ—ewTg_‰z¨=ou&ucs™‡©†™¦«wTge¦§¤f¬kh­®l k$hll}mO¯_”°yŒe~©¯$~T„
oTq_r±s™u²wzy™€³W| ƒ0~+€‚T|Oƒ&„…†w‡_ˆ0†™ˆ‰WŠ&‹&ˆ.ˆOu&_‘c’Š&’_wŠŽŠ&’?ˆ0‹&ˆOs™u²w£‹&©gŠ&‹cˆ0ˆ oTq_m´”°yŒe~Ž~T„
oTqµr¶—_wTg=‰qoR‹Hˆ0¡Rˆ0‹&¦·œ¸pŒŸ ˆ’=w¡ˆ¹:|O€n€œ=ƒ&ƒº”»©¯¼€œ=ƒ0¤Ž½?o‹º‡©‹&ˆ0¡es™Š$¦
Ÿ ˆuw¦ZmO¯²”
¹:| €mHƒ.—_wTg=‰‘.wT†™†žm¾w¿xÀ™k$j_lÂÁÁ Š&omO¯$¤©Ãeˆ0ˆ½}s™š?‹&ˆÄzqo‹OwTgˆÅ_w«¨©†™ˆ¤
ÆxÇTÈeÈÉTÊ=ˎÌÍ©Î/Ë:Ïȧ˞ÌRÐÑ og?u&s‰eˆ0‹žŠ$Ÿ oHÒoeo‹cˆx«wR‘&’?svg?ˆ0uÓr–”°y{}|H~•0|H~‚T|º~³V|O~¹:|O~¢º|x„
wTg_‰–ÔՔÖy{:×H~•×O~‚R×O~³×O~¹x× ~¢V×x„.¤O؈auw¦ÙŠc’_wTŠ
Ôs™uphl¼Úxj_­RÛ0ܙl‡e¦ÙrsFq€Ýƒ
³ ×ßÞ ³V|O—=wTg_‰˜€àƒO‚ ×±Þ ‚|aá³V|O¤
Ãe©¨©¨=oucˆaÔâsvu‹cˆã_g_w‡©†™ˆ
‡e¦´r¤x䞈0Šm唿yŒe~}~T„¶‡_ˆaw·Šc‹wR‘ˆ
Š&‹cˆ0ˆ·oTqr¤:؈
uw¦·Š&’_wŠŠ&’?ˆç_hè$él®ÂkÀ/èTjoTqHm»oRgêÔës™uwŠc‹w‘ˆŠc‹&ˆ0ˆ·ì m í ”y/Œe~?¯$~¯™„VoTqÔ¶—Žuc_‘c’
×
Š&’_wŠVqoR‹wT†™† œt¸tŒßŸ ˆ’_w¡Rˆ©¯/€$œ_ƒ”în€œ=ƒ:ïa³ × wTg=‰Zqo‹w†™† œŽ~œ=±¸ÙŒž—žŸ ˆ’=w¡ˆ
¯€$œŽ~œ_žƒz”î€$R€œ}~œ=žƒ:áan€œ=ƒ&ƒxﷂ × ¤}؈uw¦·Š&’_wŠÔâk$hll®èjek+­ÀjeÁrësðqV€ÝƒzÔîs™u
‹&ˆã=g_wT‡©†™ˆO‡e¦r—wTg=‰€àƒ²qo‹xˆ.¡ˆ0‹c¦Š&‹wR‘ˆHŠc‹&ˆ0ˆºm±oTq²r—TŠc’©ˆH¨?‹&oñˆ‘Š&s™og
ì m í s™u wºŠ&‹w‘ˆ
×
Š&‹cˆ0ˆoTqxԁ¤
òÊ=Ïóxʞô0Î/ÌÎÊ=Ë Ð©õ ’©ˆ®èTöºç›è÷Á0À™kÀ/èTjoqør»wg_‰Ô—_‰eˆ.g©oŠcˆ‰
‡e¦
r´ùxÔ¶—©ˆÅ©s™u&Šcusðq ³V|
ï
³ × ”Ùú?—÷wg_‰Vs™ux‰eˆã_g?ˆ‰ŠcoV‡_ˆ Š&’©ˆOÒoeo‹cˆ «w‘c’©s™g©ˆ û따y{}ü~•0ü~‚Tü~³Wü~¹:ü~¢ºü„
ŸO’©ˆ0‹cˆ
ý
ý
ý
ý
{}ü¾”–{}|´þ
{ × —
• ü ”°y• | ~•×x„.—
‚Tüÿ”ÿ€$‚T|
á‚ × ƒº€³V|
á³ × ƒ.—
³Vüٔ–³V|
á³ × —
%% #- î î ; ð<; 9 3 # >îKð > ð¼#B# î -$ð³/ßÇ3Gî
H ; 58×D×î 3 #' î ) ; ð,Ûð > ð658?KO
# î ; ,ð ð > ð³ßÇ3GH58×P× ; > ; > ' ) 58?KO 3 - :
î3 12>NàHY58?KÖ2BP?E¶à=>@2K5|ØBP3GH38ßz5rûW33GH,>Î465GÖ2BP?>BP7Ö,2=50HY5ÖQÚ,>CH,BPA@>mOÁàå¶BPÚ77,>@ÚN30ßÚ,HQ5GÖQ>
Ú,H>@>@7m: 3G4¼ÞK37,BPÚ,BP3G?T30ß%ÚeÜ/3rûW33GH,>N4W5GÖ2BP?>@7H>@7,íF×DÚ7BP?¶Ú,2F>»BP?Ú,>CH,7,>|ÖQÚ,BP3G?W38ß%Ú,2>N7,>CÚ,7
30ßÚ,HY5ÖQ>‰ÚH,>@>@7ÈßÇ3GHÚ2>‰ÖQ3G4¼ÞK3?>@?Ú/465GÖ2BP?>C7m:
SK]EL WW B n= @ýÎü 0ý Ñþÿ"c 6»áèþ =rä 6ÿ7cWüncþ|üü c rÿ 8 5
Pü ;á:=ä 7 Qü c
»þÎü ýQþGÿ üeý !á$=ä "$#&%' »þÎü ýQþGÿ Èü ý !
á (zþ =)#&*' ;þÑü ýQþGÿ üeý !+ä ,nC-nEn4 3G?F7,BxO>@HNÚeÜ/3 û 33H,>r4W5GÖ2BP?>@7‰á58?KO¾ä7íKÖ2¾Ú,2K58ډäõBD7NH>QÙK?K58à×P>
àå áù:9öàFBD?=50H,åWH>@×x50Ú,BP3? - ) / ) BD77Y58BÐO Ú,3WàK>r5 B
Dþ¹ü #ý Pþ|ü ÎßÇH3G4
áÏÚ3¶äÏBŒß58?KO¼3G?×PårBŒßtÚ2>NßÇ3×D×P30ÜBP?ENÚ,2FH,>@>;Öv3G?KOBPÚBD3?723×ÐO G:î [
ð ' r:
1:ñ3H50×P×
î ð ' rÛÜ/>»2=5|ØG> # î K
ð !. 9 # î ðC:
2:ñ3H50×P×
î [
ð ' Ê50?=Orßo3GH50×P× 3 - 50?K0
O 0/ ' )7,í=Ö,2çÚ,2K58Ú -$/
î "3 / ðCÛÚ,2F>@H,>
>QòBP7,Ú,)7 / ') 7,íKÖ2½Ú2K50/Ú - î î 3 # î Kð,1ð / ð50?KO î / / 4ð ' r:
Õoßt7íKÖ2 5TH>@×x50Ú,BP3? ->QòBP7,Ú,7|ÛäöBP77Q50BxO¼Ú,F3 B
Dþ¹ü /á÷îÇÜHBDÚÚ,>@?Á507»áâ täÎðÜBPÚ,2
507Ú,2F.> Pü B7BP4rí×x50Ú,BP3?H,>C×Ð58Ú,BP3G?:GñíFH,Ú,2F>@HmÛ0BŒß7,íKÖ2 ô>QòBP7,Ú,7/50?KOù
î ð ' rÛ|Ü/>
7Y5|åTÚ,2K58Ú7,ÚQ50Ú> 38ßtä B
Dþ¹ü 67,ÚY58Ú,2> ¶38߈ár:ÕeÚBP7/Üz>@×P×Ý?30Ü?rÚ2K50Úä!7,BP4rí×x58Ú,>@7á
B#¶BD?r5E584¶>30ß%5ÞH,3ÚY50E3G?BP7ÚtÞF×Ð5|åBP?EBD?rä!50E58BP?7,Ú50?r5GO}ØG>@H7Y50Hå;ÞF×Ð5|åBP?EBD?rárÛ|Ú,2F>
ÞH,3ÚY58EG3G?FBD7Ú»Ö@58?#4W50ÚQÖ,2ç>@ØG>@Hå½4¶30Ø>N30ßzÚ2>¶5GOØ>@H,7Q50Hå½àå½4¶30ØBP?ETÚ,3½5r7ÚY50Ú>rÜBPÚ,2
Ú,2>7Y584¶>3GàF7,>@HØG50Ú,BP3?65GOùBP?ÙK?BPÚ,íF4#:|ÕeÚzBP750×P7,3TÝ?30Ü?rÚ,2=50Ú/>m5GÖ2W7,ÚHY50Ú>@EGårBP?¼7,íKÖ2½5
E584¶>»Öv3GH,H>@7,Þ=3G?=O7NÚ,365TÚHY5ÖQ>;ÚH,>@>ۖ58?KO½ÖQ3?7,>|ïGíF>@?Ú,×PåÛF7,BP4rí×x50ÚBP3G?rBP7>mïíBPØG58×D>C?ÚÚ3
Ú,H>@>;ÖQ3?ÚQ50BP?4¼>@?Úm:
SK]EL W43R B n= @ýù5ü 6 0ý rþG7ÿ c ;á þ =W+
ä 7c Ááôâ ä "öä
ü ý ‰ÿ ü,þ Èá ˆG³
%
:
9@)+'ö}'
8
IíÞÞ=3G7>Ü/>z50H>zEBDØ>@?‰57ÞK>mÖvBlÙÖ@50ÚBD3?;á +=ä +58?KO‰50?NBP4¶ÞF×D>C4¶>@?ÚY58Ú,BP3G?:
á =ärÛ@Ü2F>@H,>
á =ä +Fâ á +G50?KO‰á +=äâ ä +e: 3G?F7,BxO>@H5/7,Þ=>mÖQBŒÙ–Ö³7,ÚY58Ú,> + 30ßK$
$
á =ä +e:@IíFÞÞK37,>
Ú,2K58ÚÚ,2BP77ÚY50Ú>NBD77BP4rí×x50Ú,>|OTàå¼7,ÚQ50Ú,;> +30ßá +e:ñíFH,Ú,2F>@HmÛF7,íÞÞ=3G7>‰Ú,2=50ÚÚ,2F>@H,>T>QòBP7,Ú,7
7íKÖ2½Ú,2=50Ú7ÚY58Ú,> + 38ßzá +=ä-BD77,BP4rí×x50Ú>mOràå¼7,ÚY58Ú,> +38ßá +o:K12F>@?%ÛBPÚ7>@>@4¶7
Þ×x50í7BPà×P>Wî 50?=O¾BP?KO>@>|OÅBPÚTBP7‰Ú,Hí>GÛz587;Ü/>W7,230Ü÷àK>@×P30ÜðÎÚ,2K58Ú;7ÚY58Ú,> 30ß»:
á =ä
BP7»7BP4rí×x50Ú,>|O¶àå½7ÚY58Ú,> + + 38ßÈá +=ä +e:K9õO#B &6ÖQí×PÚeå½50H,BP7>@7‰Ü2>@?¾7ÚY58Ú,> + 30ß
á +=äÏBP77BD4ríF×Ð58Ú,>mOTàår7ÚY50Ú> ++30ßá +Ú,2K58ÚBD7O#B >@H,>@?ÚÈßÇH,34 +eB: ¾>Ú,2>@?ç>QòK504¶BP?>
Ú,2>/7,ÚQ50Ú> ++ 38ߖ:
á =ä +50?KOMÙK?KOT57,ÚY58Ú,> ++38߈á +Ú2K50Ú7BD4ríF×Ð58Ú,>@7BPÚ|: ¾>zÖQ3?ÚBP?íF>
àå¶Ù=?KOBP?E65ù7,ÚQ50Ú,>T30ßä +Ú,2K58Ú»7BP4rí×x50Ú,>C77,ÚY58Ú,> ++ 38ß+á +=ärÛ=>@ÚQÖ0:Õe?½Ú2BP7NÜ+5|åÛ
BŒßÜ/>TH,>m5Ö,2Å5¼ÖQåÖQ×P>rÚ,2K58ÚBP?KÖQ×PíKO}>@<7 +58?KO +eÛ=Üz>r50H>;7Ú,BP×P×58à×P>;Ú3¶7230ÜöÚ2K50ÚN7,ÚQ50Ú>
30ß%:
á =ä!BP77,BP4rí×x50Ú>mONàå‰7ÚY50Ú> + + 30ß%á +=ä +Ç:IBP?KÖQ>3íHzûW33GH>465Ö,2FBD?F>@7
2K5|ØG>¼3G?×PåÁ7,BP?E×D>¼BP?BPÚ,Bx50×7ÚY58Ú,>@7|Ûz7íKÖ25#ÖQåÖQ×P>W7,2F3Gí×xO¾>vò}BP7ډßÇ3H;Ú2>WBP?BPÚ,Bx50×/7,ÚQ50Ú,>C7mÛ
7Y58Ú,BP7eßÇåBP?E#Öv3G?KOBPÚBD3$
? rßo3GHT7,BP4rí×x50ÚBD3?#H>@×x50ÚBD3?7m:ñBP?BPÚ,>¶?F3G?KO>CÚ,>@H4¶BP?BP7,4X>@?7íH,>C7
Ú,2K58Ú+Öv3G?KOBPÚBD3? 2NßÇ3H7,BP4rí×x50ÚBP3G?TH,>@×x50ÚBP3G?7/BP77Y50ÚBP7eÙK>mOç507Ü/>@×P× :
D
BA
FA
E
D
A
D
E D
c
D A
KD
D
E
D
E
A
` @
)0
D
D
E
` G
&?
D )
3=
î ;
-
D
E D A
cO
D
)
X
!O
=
D
3=
D
D
=
'D
D
D
=
2=
: !?
D
7<
=
D
!=
3=
-
` @
C
;
,
<
<
!A
D
7A
D
E
E
5A
A
%A
D
D
E
D
E
D
E
A
E
NA
A
<
A
D
E
D
E
D
E
S7 Q
Gü
G 8-8 çü nvüc+þ|áü‰á@ä =á ä + +âä + á ! +Ñ þ =Á0ý á +r=þGäôÿ7c â ä ++ ÿ7Ðc#ünc4üc} þ¹Ðü+ü á:6= ä B þ =¼á B
D+þ¹=ü ä +
ý .
Dþ¹ü B þ = ý 648 Qÿvü .
" (+þ = 0 @ý." 8+ü !á +=ä + Pünc @ýTþ 8+ü
0ý ü 8+ü !á:=ä+c ( ‰ÿQþ #ÿ BQü ýÿvüÈþ B
Pþ|ü Wý .
Dþ¹ü
!@ý öá:=ä
ü Ná ++=ä + D
D
D
) [
cO
*=
=
#
<
) c )0
`
L
,-?
<
:
Y
!O
: c? -
D 0 c M
c
=ª=ªK¸Fjl´|­Gce`®G`QfNqmgnedec,b@dojlg´;de¬`®G`±g8jldojlqmgWqCs
#%$&
zý ! ó>@Ú *-!î )D/ ) ð /î ) / ) eðˆàK>O>QÙ=?>mOT507ßo3G×P×P30Ü7(|î + + ð['
B#Ú,2>CH,>Á>QòBD7Ú+ + +; +2 ' ) 50?KO + +; 2+ ; ' ) 7,íKÖ2!Ú,2K58Ú½îo7,>@>
ñBDEíH,> ð
+ 9 +2 94 +%50?KO + 9 +eÛ50?KO
ßÇ3GH58×P]× VYX 3 Z$/ÛÜz>N2K5|Ø>;î mðî + x+ ð4' ÛK58?KOWî41Gðî + + ; ð4' :
¾>?>@>|OrÚ,3N7230ÜÅÚ2K50ÚÚ2>ÖQ3?KOBPÚ,BP3G?F7 vé 2È30ßÚ,2>O}>QÙK?BPÚ,BP3?;38ߖ5N7,BP4rí×x58Ú,BP3G?H,>@×x50ÚBP3G?
50H>7Y58Ú,BP7eÙK>|O‰àå Ñ:|Õe?‰Ú2>³ßÇ3G×P×P30ÜBP?Eîxßo3G)H 150?KO 2Gð@Û0587,7,íF4¶>Ú2K50Ú³î + + 4ð ' ÑÛ
Be: >:DÛÚ,2F>@H,>½>vò}BP77Ú + +; +2 ' ) 58?KO + +; 2+ ; ' ) 7Y58Ú,BP7eßoåBP?EÁÚ,2F>
ÖQ3G?=OBPÚ,BP3G?7/4¶>C?ÚBP3G?>mO¼50à=30ØG>G:
G:IBP?KÖQ> 50?KO
ð '
50H,>W7BD4ríF×Ð58Ú,BP3G?çH,>@×x50ÚBP3G?7|Û%Ü/>¶2K5|Ø>½î d
50?KO î & xSð ' :–óˆ>@Ú /9 GÛ + 9 +; 9 &Û%58?KO + 9 :K12F>@?% Û
î & & 4ð ' Ñ:
1:IBP?KÖQ>Áî + + 8
ð ' 50?=O BD7¶5Á7BP4rí×x50Ú,BP3?#H>@×x50Ú,BP3?%Û # î ð !. A9
# î + ðC:IBP?KÖv> + 9 +eÛ0Ü/>2=5|ØG> # î ð ! 9 # î +xð@:9×P7,3=Ûî + + ; 4ð '
ßÇH,34 ßÇ3GV‰H‰Ú583 ×D× /3 :ßÇIH,BP3?K4 ÖQ>GÛ V¼ Ú,+ F3 9 / @+ 9G:= 1+o2Û>CÜzH,>>QßÇ2K35|H,>GØGÛ> # # î î K=1ð ð !! H 9 9 # # e
î î +Ð+ðC :; <ÈðÈ>@ßÇ?K3ÖQH‰>50Û×PÜ/× > 3
EG>@Ú # ! î 1ð ! 2 " 9 # î + + ð@:
2:ó>@.
# Ú î K- ð # # î î ð@: ×P3 >m58H,/ ×På /Û 3 ðÈ+BPßÇ?K3GÖQHN×PíK7,O34¶>@7> 58×D3 ×/ BP? / Þí50Ú7%?KO30ß=3 Ú,2'>/+r46î 5 Ö,!2FBD?F >@7%ðC1:árÛmäù>QÙKÛm?á > +3 50+ ?K9 O‰ä 3 + :
Õe?#Ú2>TßÇ3×D×P30ÜBP?E=ÛGÜ2>C?>@ØG>CH;Ü/>;íF7,> +587‰Ú,2F>;BP?ÞíFÚßo3GH73G4¼>;ûW33GH>r465GÖ2BP?>
M
D
FD
D
D
E D A
D
E
3M
D
FA
D
E D
=
BA
*M
BA
D
D
=
BD
D
D
D BA
D FAC
E D ,=
D E D AG
D E D E
=
FA
E
E D
E D A
D D
BA
D A
D
E D D
E
NA
D
E
E
6M
=
BA
D
D
=
0=
=
D
E D
6M
BA
D
FD
=
BAG
BAG
D
BA
D
E
D
CE D
¾ÛÚ2>½BP?Ú,>@?ÚBD3?BD7rÚ3ÅÚQ50ÝG>WÚ2>½ÞH3mVQ>mÖQÚBP3G? 3 + 3G?Ú3¾Ú,2>½7>@Ú¶38߉BD?FÞíÚ,7
30ß¾: ¾>WÜ+58?Ú¶Ú,3¾7230ÜÚ,2=50Ú¶Ú2>@H>#>QòBP7,Ú7Áî / / Û / + / + ðT' X7,íKÖ2Ú2K50Ú
-$ î + + "3 + / + / + ð@:
IBP?KÖv>;50×P×%4W5GÖ2BP?>@750H>;?F3G?à×P3Ö,ÝBP?E=ÛÜz>‰2=5|ØG> -$ î + 3 + / + ð+ßÇ3GH73G4¼> / + :
<È>@?KÖQ>GÛ -$ î + "3 + / + / ðC:
1 2>Tße5GÖQÚNÚ,2=50ÚTî + + bð ' BP4¼Þ×PBD>C7Ú,2K58ډÚ,2>CH,>r>QòBP7,Ú7;73G4¶> / + 7íKÖ2
Ú2K50/Ú - î + 3 + / + ð50?KOçî / + / / + 4ð ' :
- î + 3 + / + ð/BP4¶Þ×PBP>@7Ú2K50/Ú -$ oî + 3 + / / + ð@:
7 / +; 7,í=Ö,2WÚ2K50Ú -$ î +; 3 + / +; ð58?KO
î + + ; ð ' ÛÚ,2>CH,>QßÇ3H,>GÛFÚ,2>CH,>‰>QòBP7,Ú+
î / / + / + ð '
U>@Þ=>m58Ú,BP?ErÚ,2FBD; 7ÞFH,3ÖQ >@77mÛ=Üz>N3àÚY58BD
? / + / +; / +> 50?KO / + / +; / >+ 7,íKÖ2WÚ,2=50Ú
ß Ç3H+58×P× D'WÕ NTÛÜz>N2K5|Ø> -P î + "3 + / + 2 ð50?=O - î + "3 + / + 2 ðCÛ50?KO
ßÇ3H+58×P× VÛÜ/>»2=5|ØG>NÚ,2K58ÚNî / + / / + [ð ' 50?KOçî / / + / + 4ð ' :
IBP ?KÖQ>rá +2K507NÚ2>‰Ù=?BPÚ,>T?3G?KO}>@Ú,>@H4¶ BP?BP7,4õ ÞH3GÞ=>@H, ÚeåÛÚ,2F>@H,>T>Qò BP7,Ú ; '¾Õ N- ÜBPÚ,2
Î7,íKÖ2rÚ,2=50Ú / + 2 9 / + 2 : 3?7,BxO>CHÚ,2>7,ÚQ50Ú,>C7
7 / + / + ; / + ') 58?KO
/ + / + ; / + ; ') : ¾>Ý?30ÜôÚ,2K58Ú/ßÇ3GH50×P× 2 B/02 X 3 Z /Û=î 2 / + / / Ç+ 4
ð'
2
5 8?K2 OÁî / / + / 2+ ; Ið ' :FÕeÚßÇ3×P×D30Ü7³ßÇH3G4õÚ,2>;O}>QÙK?BPÚ,BP3?638ß Ú2K50ÚNî / / Û
/ + 2 / + 2 $
ð ' rB: ¾>‰50×P7,3T2K5|ØG> -$ eî + + 3 + / + 2 / + 2 ð@: $"',
)',-,',³
%,',³Á',(
1
bW
3?7,BxO>@H5ûW33GH>465Ö,2FBD?F>t $
á 9 ) " ! "# -P :
9?Áý ;38ßáãBD75ÎÙK? BPÚ>» 3 HzBP?Ù= ?BPÚ,>7>mïí>@?KÖv> 9 ) %; ) > ) G7íKÖ26Ú2K50Ú
9 &50?=O -$/î "3 ;
;YðMßÇ3HÑ58×D× VF:12>¶7>@Úr30߉50×P×Ù=?BPÚ,>¶Hí?7r38ßMá
BP7;O>@?3Ú,>mO àå :tóˆ>@Ú 9 ) %; ) > ) ) 2 ;m:12>@? Ú,2>¼×D>C?EGÚ2
30ß Û O>C?3G"Ú >mOÁàå !ŒÛBPA7 #$/ Û 50?KOÁÚ2_> 6Ú,2¾ÞH>QÙòÁßÇ3GbH V0X X /Û%O>C?3GÚ>mOÁàå ÛBP7
) %; ) > ) ü )S ) ßÇ3Háö BP7;m:5ÑÕoßÇß í¼?KÖQBDÚ7TBP3GBP?W?ÙKÚ,?2KBP58ÚÚ>GÛ4WÚ,2F50>@Þ%? 7/>@ ØG&>CˆH,BDåW7TBPO?>QÙKÙK??BP>|Ú,OÅ>ÎH,Úí3½?½à=38(> ßz'áö:%Ú9 3
!mþ žý 6(;ÿ YüeýYþ *
Ú,2>TàBP?K58H,åW7,>@Ú !mþ xý !mþ žý :=9 !|þ xý 8ý rþG7ÿ c + 9 oá ) ÖQ3?7,BP7Ú,7‰38ß+5
ûW33GH>465GÖ2BP?>á!50?KOr5ße50BPH,?>C7,7ÖQ3G?7Ú,HQ50BP?+Ú )SÁßÇ3Háù:09 !|þ xýHí?¶38ß +öBP7>CBDÚ2>@H5
ÙK?BPÚ,>NHí?W30ßá-3H+58?6BP?Ù=?BPÚ,>NH,í? N38ßzáÏ7,í=Ö,2çÚ,2K58*Ú )S/î |<ð 94!|þ xý::
9 !mþ xýNý Wü ý
30ß +*BP75ÎH,í?çÚ,H,>C> n9 38ßá-7,í=Ö,2çÚ,2K58Ú/ßÇ3GH>@Ø>@H,åWÞK58Ú,2 r30Mß 9ÛFÚ,2>NHía? Îî ð/30ß
áÏBP75Îß 50BPH/H,í?W30ß +¶::
9 !mþ xýü ýQþGÿ üeý 30ß + BP75TÚ,HQ5GÖQ>‰ÚH,>@>Î30ßáãÚ,2K58ÚBP7ÜBDÚ?>@77,>mO
àå¶5Îß 50BPH/H,í?WÚ,H>@>‰382ß +¶:
¾>H,>@7Ú,HBÐÖvÚz3íH,7>@×PØG>@7Ú3ß 58BPHtûW33GH>465Ö,2FBD?F>@W7 +ÄÚ2K50Ú58H,>/H,>mÖQ>CÞÚ,BPØGA> BP× 6 Û|Be: >G:PÛ
BP? 58?#BP?ÙK?FBDÚ>;E504¼>‰30ßÚ,2>r7å7,Ú,>C4 + 50E50BP?7Ú»Ú2>r>@?ØBPH,3G?F4¶>@?ÚmÛ=?3ç4650ÚÚ,>@HNÜ2K58Ú
Ú,2>¼>@?ØBDH3G?4¼>@?Ú;O3>@7TÚ,2>W7å7Ú,>@4ê2K507r5½7Ú,HQ50Ú,>CEGå¾Ú,3ÁÞH3}O}íKÖQ>½5Wße50BPH‰H,íF?Í507TÚ,2F>
3GíÚQÖQ3G4¼>38ßÚ2>‰E504¶>:ñF3GH4650×P×PåGÛG5Wý Qÿ 8ü Q ü ýQþ|ü 4 "302ß +BP75ÎßÇí?=ÖQÚ,BP3G?¼ßÇH3G4
b/ Ú3 )N:9?ÁBP?ÙK?BPÚ>;Hí? 9 ) %; ) > ) 38ßÈá÷BP7‰50? ü ÿ
30ßÚ,2F>‰H,>mÖv>@ÞÚ,BPØ>@?>@77‰7,ÚHY50Ú>@EG-å ,½BŒßßÇ3GH58×P× . ÛÜz>Î2K5|ØG> 9/,î "3 ðC:12>Nße50BPH
ûW33GH>¶465Ö2BP?Y> +èBP76ý Yÿ 8ü NBŒßÚ,2>CH,>WBP7Ñ5çH,>mÖv>@ÞÚ,BPØ>@?>@7767Ú,HQ50Ú,>CEGå ,ô7,íKÖ2ÅÚ2K50Ú
>@ØG>CH,å¶3íÚYÖv3G4¶> ‰380ß ,çBP75Nß 58BPHzHí?W30ß +¶:
Õe?#Ú2>ÎßÇ3G×P×P30ÜBP?EKÛÜ/>¶ÖQ3G?F7,BxO>@H‰ÚeÜ/3¼ß 50BPHNûW33GH,>T465Ö2BP?>@7mÛ + 9 oá ) 58?KO 1 9
Çä ) :
D
BA
D
BA
E D
D A
D
D
E 7A
E
M
E
D
BA
BA
D
D
D
D
D
E D
D
E D
D A
D
.=
FA
D
FA
=
FA
D
E D
=
D
E D
D A
D
D
D
D
D
BA
D
D
FD
D
E D
=
D
FA
=
FD
D
E
E D
D
E D
D D D &
E
D
D
D
E
? D
E
(
?
D
D
(
E D
FA
D A
D
D
BA
M
FA
=
%$ D
FD
3=
5M
&
E D
D
A
D
8$
D
FA
D
D
D
D
D
D
$
A
FE
D
8(
D
=
BA
E D
B
E D
D
D
E
H
[ G
,?
A
D
E
!A
D 8D
! (
D
! A
A
D
&
E
E
D
E
8
PE
G
EL n
GEKKJW K]EL4¾>z7Q5|å‰Ú,2K58
Ú 1 !mþ xý 5eüeý ÿ ü,þ B+
BŒßî(mð/äÏBP7/H,>QÙ=?K50à×P>Nàå¶árÛ50?KO î 1Gð³ßo3GH/>@ØG>@Hårß 58BPHÚ,HQ5GÖQ>NÚ,H>@>.38ß2+öÚ2>NÞH,3mVv>mÖQÚ,BP3?
BP7»5Ñß 50BPHÚ,HY5ÖQ>TÚ,H,>C>r30ß 1T:12>½ÿ 8 Pü ¼30ßK+S50?=O 1;ÛO>C?3GÚ>mO½àå0+ =
1;Û
>QòBP7, Ú,7/BŒßt$
á =ä!>QòBP7,Ú7mÛ58?KOrBP7zO>vÙK?>mO¼Ú,3ÎàK>Ú,2>Èß 50BPHzûW33H,>4W5GÖ2BP?> 9 ) Û
Ü2>@H>
%% 9) î |á ð 9$=är!mþ Û žý;#B Åà=3GÚ2 )S/(î ð 9$!mþ xýr50?K-O ) î 6 ð 9 !mþ xýÛÜ2F>@H,F> 6 BP7
Ú,2>ÎÞH,3mVv>mÖQÚ,BP3?638ß N3?½áö50?=O 6 BP7/Ú,2>ÎÞH,3mVv>mÖQÚ,BP3?638ß Î3G?Wär:
SK]EL WR B n= @ý/ü !|þ x2
ý 0ý Ñþ"ÿ c 6+÷þ = 1 "ÿ cTnü cþ|ünü c ÿ 5
8 Pü Y+ =
1 7 Qü <c ) Î;
þ !mþ xýü ýQþGÿ Mü ý !I+=
1 " # % '0 Ñþ !mþ xý
ü ýQþGÿ üeý !4++(+þ =)#&*' ;þ !mþ xýüeýYþÿ »ü ý ! 1 nC-n EL WK%IíFÞÞK37,>¼Ú,2K58ÚMäõBP7NH,>vÙK?K50àF×D>ràå¾ár:=Õe?Ú,íBPÚ,BPØ>@×PåÛ 1-ß 58BDH×På67BP4ré
í×x50Ú>@S7 + w<RNCU -.+BŒßzÚ2>@H>6BP7‰5W7Ú,HY58Ú,>@Eå#BP?ÁÚ,2>¼7,BP4rí×x50ÚBP3G?WE584¶>‰Ú2K50ډ4W50ÚQÖ,2F>@7
>@ØG>CH,åNß 58BPHtHí?T30ß +ÏÜBPÚ,2;5Èß 58BDHH,í?r38ß 1T:¹ñF3GH4658×D×PåÛY5 B
Dþ|ü YüeýYþ¹ü "30ß 1ÜBPÚ,2
H,>@7ÞK>|ÖQ Ú ÚY3 + BP7+5TÞ=50H,ÚBx50×FßÇí?KÖQÚBP3G ?¼ßÇH,34 /. Ú3 ) :Õoß 9 ) ; ) > )
+ ; ) +> ) ) + ' ÛÚ,2F>@?½Ú,2F>‰ßÇ3×P×D30Ü/é
)
2 ' bÛ58?KO + 9 + )
BP?E‰Ú,2FH,>@>‰ÖQ3?KOBPÚ,BP3G?F7z50H>?>mÖv>@7,7Q50H,å¼ßÇ3H ,î + ð³Ú,3TàK>NO>QÙK?F>mO î m<ð /9 e GÛFî 1Gð
ßÇ3GHN50×P× V>X 8Z/Û=Üz>T2K5|Ø> # î ð !. 9 # î + ð@Û50?=OÁî 2ðßo3GH»58×P× YX 8Z ½Û
Üz>T2K5|Ø>Wî # î ; ð 3 ð 9 3 + :ÕeÚNBP7‰H,>|ïGíFBDH>mOÁÚ,2=50ډBŒ*ß ,î + ð "9 +2 Û Ú,2>C?
# î 2 1ð ! 9 # î +2 ð@: NBPØ>@?½5TÙK?BPÚ>;3HBP?ÙK?BPÚ>‰H,í? A9 ) %; ) > ) 30ß+áùÛÚ,2F> ü ÿ * 30ßÚ,2F>;7BD4ríF×Ð58Ú,BP3G?¼7,ÚHY50Ú>@EGåçBD7NÚ2>TÙK?BPÚ,>T3GHBP?ÙK?BPÚ,>TH,íF?
+ 9
+ ) + ; ) +> ) 30ßäÊ7,íKÖ2ÁÚ,2K58ÚT(î mð '
6 B9 !ŒÛ50?KO î 1Gð+ßÇ3GH‰58×D× GÛ
Üz>Î2K5|ØG> + 9ˆî ; + ðC:K9ÊàBP?K58H,åWH,>C×Ð58Ú,BP3G? - )/ ) BP7‰.5 !mþ xý B
Dþ¹ü
ý .
Dþ¹ü ¶382ß +Êà-å 1ÏBŒßtÚ2>ßÇ3G×P×P30ÜBP?E‰Ú,2FH,>@>;Öv3G?KOBPÚBD3?7/23G×xO G:î [
ð ' r:
1:ñ3H50×P×
î ð ' rÛÜ/>»2=5|ØG> # î K
ð !. 9 # î ðC:
2:/12>@H>6>vò}BP7Ú,7r5½7BD4ríF×Ð58Ú,BP3G?W7Ú,HY58Ú,>@Eå
30
ß 1õÜBPÚ,2¾H,>C7,Þ=>mÖQÚ¶ÚF3 +è7íKÖ2ÅÚ2K50Ú|Û%BŒß
î 4
ð ' Ê50 ?KO 9 ) %; ) > ) BP75Îß 50BPH/H,í?ç302ß +¶ÛFÚ,2>@?çÚ,2>N3GíFÚYÖQ34¶>
6 9 + ) +; ) +> ) BP7‰5ùß 50BPHNH,íF?#38ß 1õ50?KO' 6 ée4658ÚYÖ2>@7 WîÇÚ2K50Ú
'
BP7mÛî + Sð ' *ßÇ3HM58×P× VTX Z & ð@: ¾>;7Q5|å½Ú,2=50ÚÁBP7M5 Ðü 6Ú,3WÚ,2>Tße50BPH
7,BP4rí×x50ÚBP3G? r:
Õoß7,íKÖ2¾5TH,>@×x50ÚBP3G? ->QòBP7,Ú7mÛ 1ÏBP77Y50BxOWÚ73 !mþ xý #"A B
Dþ|ü [+ùÛFÜH,BPÚ,Ú>@8? +â 1T: ¾>
ÜBP×D×7,ÚQ50Ú,>T7,34¶>‰ÞFH,3GÞ=>@HÚ,BP>@7‰38ßzß 58BPH7,BP4rí×x58Ú,BP3G?%:ñBPH,7,Ú|Û7,BP?KÖv>Ñ58×D×ÙK?FBDÚ>;Hí?7‰50H>‰ße50BPH
àå¶O>QÙK?BPÚBD3?%ÛÜ/>»2=5|ØG>NÚ,2>MßÇ3G×P×P30ÜBP?ENÞH,3ÞK37,BPÚ,BP3G?:
SK]EL W B n= @ýÁü )!mþ xý 0ý Ñþ"ÿ c 6_+ 9 Çá )S þ W= 1 9
Çä ) !4+â 1 (nü c ¶áôâ +ä 12>NÞH,338ß38ßH,3ÞK37,BPÚ,BP3G? ¶O>@Þ=>@?KO7N3?6Ú2>‰H>mÖQ>@ÞÚBPØG>@?77N30*ß 1;:9?K50×P3EG3GíF7Ú,3rÚ,2F>
>mïíBPØG50×P>@?KÖv>6à=>@ÚeÜ/>@>@?!7,BP4rí×x50ÚBP3G?Å50?=OÅÚH,>@>¾ÖQ3?ÚQ50BP?4¼>@?ÚmÛß 58BDHT7,BP4rí×x58Ú,BP3G?ÅÖ@58?à=>
ÞH,30Ø>mO¼Ú,3TàK>Î>mïíBPØG50×P>@?ÚzÚ3Tß 50BPH/Ú,H>@>;ÖQ3?ÚQ50BP?4¼>@?
Ú w<R»U .,:
SK]EL WR B n= @ýü !mþ xý 8ý Ñþ"ÿ c 64+ þ W= 172c b+Ïâ 1 "
1:!mþ xý 5eüeý Nÿ ü,þ BI+
-
) c
D
A
) c
L (
BA D E
8
L
FA D E
L(
!O
` @
` &?
G
X
E
D 1(
6=
-
c
cO
D =
D
D
3=
=
D 0=
(
=
: c?
=
A
3=
D
E
` @
<
`
` @
`
<
&?
A
D
E
<
[ 6
V
&?
)0
<
ˆG³
%
:9@ ',ô)+'ö}'
ó>@Ú –þ ! 0î +;ðà=>‰Ú2>Nß 58BDHû 33H,>T465Ö,2FBD?F>3GàFÚY50BP?>|OWàå¶H,>CÞ×x5GÖQBP?E¼Ú,2>Nße50BPH,?>C7,7»Öv3G?é
7,ÚHY50BP?Ú38Kß +ÜBPÚ,2½Ú2>;ÚH,BPØBx50×ße50BPH,?>C7,7‰ÖQ3G?F7,Ú,HQ50BP?ÚÚ2K50ÚN4658Þ7>@Ø>@H,å½BP?Ù=?BPÚ,>‰Hí?#Ú3
!mþ žýG: ¾>‰?F30ÜöÞH>@7,>@?ÚTÚ,2>r5077,í4¼>QéeEGíK58HY50?Ú>@>;ÞFH,330ßH,í×P>ÎßÇ3GHß 58BPH7,BP4rí×x58Ú,BP3G?%:12F>
7Y584¶>NH,í×P>TÜ+587NÞH,30Ø>mOWßo3GHße50BPHÚHY5GÖv>ÑÖQ3?ÚY50BP?4¼>@?ÚBP? 9»< ,.,Û=ÜBPÚ,2#58?#>@77,>@?ÚBÐ58×P×Då
7,BP4¶BP×x50HÞH330ßzîoÜz>/VQí7,ÚíF7,>‰ÚHY5GÖv>»ÚH,>@>C7»BP?7Ú,>m5O¼30ßtÚHY5ÖQ>@7NÚ,3TEG>@ÚÚ,2>NÞH330ßàK>C×D30ÜðC:
+S! +++ =
G++1 =
+ G1 7+ Q3 ü +P ü c vü8-YCý8;+ þ ùü1 c}+ 8+þ¹ü+½ü + þ 0ý= =%G1þ ! ü +8+8î!1 ü +xð!4 â+ 0=
ý + 1 + (r+ þG++c7ÿ c=
1(+ â =+11ô"ÿ cÏ+ â(üþ c}W+þ¹= bü +.+=
Cý1/=
+ " 1 þ 8+= ü
zý ! ó>@YÚ + 9 Çá )S 1 9 Çä ) + +A9 Çá + ) Û/50?KO 1 + 9 Çä + ) :
ñH3G4 H3GÞ=3G7BDÚBP3GA? =ÛmÜ/>Ý?30ܾÚ,2=50Ú:
á =ä +â á +50?KOÎá ++=äôâ ä +Ç: 3?7,>|ïGíF>@?Ú,×PåÛ
àå‰12>@3H,>@
4 /Üz>/Ý?30ÜÅÚ2K50Ú/@
á =äôâ á +=ä +e:012>CH,>QßÇ3H,>GÛ8ßÇH3G4 H3GÞ=3G7,BPÚBD3? 1Û|Ü/>
EG>@ÚÚ,2K58ډá +=ä +ÚH,>@>rÖQ3G?ÚQ50BP?7‰:
á =är:<>@?KÖv>GÛBŒß öBP7N5¶ÚHY5ÖQ>;ÚH,>@>r38ß+:
á =ärÛ=Ú,2>C?
BP7;5¼Ú,HQ5GÖQ>¼Ú,H,>C>¶30ßá +=ä +Ç:ÕeÚÎH,>@4W50BP?7NÚ,3½à=>rÞH30ØG>mOÁÚ2K50ډBŒ
ß
ÊBD7T5rße50BPH
Ú,HQ5GÖQ>N Ú,H>@ >T302ß + =
1;ÛFÚ,2>C? BP75Îß 58BPHzÚHY5GÖv>‰Ú,H>@>‰30ß + ++=
1 + :
ñ3Hz?3ÚY58Ú,BP3G?K58×7,BP4¶ÞF×DBxÖQBPÚeåÛ|Üz>N3G4¼BPÚ>QòÞ×PBxÖQBPÚÞH,3mVv>mÖQÚ,BP3?7BP?¶Ú2>NßÇ3×P×D30ÜBP?E=:0IíÞé
ÞK37,> ÊBD7‰5ùß 58BDHÚ,HQ5GÖQ>rÚH,>@>¼30Kß + =
1T:%ñH3G4 H3GÞ=3G7BDÚBP3G? 2Û öBP7;5ùß 58BDHÚ,HQ5GÖQ>rÚH,>@>
30ßzà=3GÚF2 +50?KO 1;:ñFíH,Ú2>@H|ÛÜz>TÝ?30ÜÏÚ,2=50Ú öBP7‰5rÚHY5GÖv>rÚ,H,>C>r30ßá +=ä +Ç:ˆ12íF7mÛ +BP7+5MBD= 7/–ß 550þ BP!ß H/50îBPÚ,$HHQ1/5GÚ+PÖQHYð@>‰5:KÖQÚI}>NH,BD>@?=Ú,>ÎH,ÖQ>CS> 30>ß + 30ß =þ + ! –î+eþ $:! 1/10î+P$2ð@1/>@:FH,+x9>vðßÇEâ3G58H BP>G?%Û+ ÛGßÇH,à+e3Ûå 4 Ü/>‰H,3ÖQH,3GÞK3?K3ÞKÖv7,3×DBP7,í=Ú,BPBPOÚ,3GBP>¶? 3G? îž2ßÇH,Û2F3ÛG4 7BPBP?K7ÖQ5MH,<> 3Gß ôÞ=503GBPH/í77+BPÚ,Ú,HQBP5»5G3GÖQ?ß 50>‰BPGHÚð/H,Ú,>@ÚHQ>Î2K5G50ÖQ30>Ú ß
Ú,H>@>N30ß%à=3GÚ,>2 + +%50?=O 1 +ÇÛBPÚzBP75ß 58BDH/Ú,HQ5GÖQ>NÚH,>@>N30ß + ++=
1T:IBP?KÖvP> + +=
1â 1 +eÛ !BP7
5Nße50BPHzÚHY5ÖQ>‰Ú,H>@>‰38ß 1 + :ñBP?K58×D×PåTßÇH3G4 H,3GÞ=3G7BPÚ,BP3G? 2Û7,BP?KÖv.> BP75Îß 50BPH/Ú,HQ5GÖQ>‰ÚH,>@>Î30ß
àK3Ú,>2 + +%50?K-O 1 +eÛBDÚ/BP75Îß 50BPH/Ú,HQ5GÖQ>‰ÚH,>@>Î302ß + +=
1/+e:
D
Y ) 0
D a0 )
A
D
D
[
-
L
E D
D
<
L
A
,
<
)0
E D
A
7<
D
S
;
<
E
A
D
E
7<
7<
[
[
<
<
9@
%
$
~ z€ /·~ul­c»bCgG®¼«· ~· `Qg,jlg´m`QcQ· `@bC°Qdojlkm`‰fNq0®­0ul`QnQ· Çg
vh ab@´|`Qn–„|…|ƒ G„0‡ 8· e\%\%\r]qmf†
aG­Gde`Qcz^8q0°jl`Ydop ce`QnenQh=‡v€|€ 0·
~ K€8‡ ¼·m~/²bC®0j}bCgG® ˆ· KbCfNaqmcedQ·«¬G``Qº|jlnede`QgG°Q`/q@sce`,±gG`QfN`Qg0d%f‰b@aa0jlg´mnQ·
vh |„ DŽ Š „ G„ C‚Gh‡@€|€0‡|·
~ K€ ¼·G~z²b@®8jˆbCgG® ˆ· =b@fNaq|cedQ·t]q|g eq@jlg8jlgG´Tnea`Y°jw±°vbCdojlq|gGnQ· ,h‡@ƒ Š |…|ƒ C‚h‡v€|€ 8·
]
|€ ‰\· ¼·0]uDbCce{m`|hG_·w\· q|gG´hGb@g® · · T° ÎjwuwuDb@gF·–]q|fNaq|nojldojlq|gbvu–fNq0®G`u°,¬`Q°,{|jlgG´·
Çg
vh
abC´m`Qn m„8· e\%\\#]qmfNaG­de`Qc+^8q0°,jl`Qdop ˆce`QnenQhK‡@€ |€8·
_jwu m€ _· ·t_jwuwux
· ·–«³¬G` o« ce`QnenQh=‡v€ |€0·
=€@‚ Ë· /ce­Gf²`Qce´bCgG®‰_·w\· q|gG´· Tq0®`u}°¬G`Q°,{|jlg´»bCgG®f»q0®­0uDbCckm`Qcojw±°@bCdojlqmgF!· hG‡ Š C‚ mƒ8‡mh‡@€|€@‚·
" €|ƒ N«· ~· ³`Q#
g jlgG´|`QcQhtË$· /­Ga0sx`Qcef‰b@gFh%b@g®#^$· · b ,bCf‰b@g8jx· ¸bvjlc»nojlf­0uDbCdojlqmgF· Çg
&%(' *),+.-#/102
3
Ch F`Q°Qde­Gce` ³q|de`Ynjlg¶]qmfNa­Gde`Qc+^8°jl`Yg°Q`
‡v„C‚ 8habC´m`Qn„mƒ G„ mƒ8·K^0acojlgG´|`Yco† %`QcouDb@´$h 4@­8ulpr‡@€m€|ƒ0·
Db \
DJ
DJ M
:J HP
.P
_DJ
b DT
T
?b
T
W D!L"%$&
"9$
D&,>@+/' 5=<&> 5 =125=<?>@" '
&
Q P [W
#]
\
H
J [J
,$&O0"+/
1U5 <?> "0:'
& SP F I M[R Q [P
H
#J ,J
^
a1?7
+@+"@
+5L5L +>@++& ' 0"05D
FORI M Q M[R
[M
H
J
EJ H H
W ;`!D"%$& "%$ D&&> +/&' 5=<,.>@5 .6 1U5 <?> "0:'
&
DR[MRQ R\ ,W
8]
[P
EJ
@O+ &$& Y D> "-5L+" DO+$&+/ , +" !G'[<&A
.&<&&&"212> "
LHGW
]
P
[_
J
)H
1 7
+@+"@:G+5L56. +> +:+,a' 0"-5D \FORI P SR Q P
Ub
T ^
W
1
1
&$&D! 12&> O& SJ
YK
SR
RQ P
N
-
/­c,€@‚ /· =·/­Gcene¬b@gF·
·
cojlgG°Q`Qdeq|g¶ig8jlkm`Qcenojldop ce`QnenQhK‡@€|€@‚·
Fp0g€ · ~· Fp0gG°¬·
*
· Tq|ce´¹bCg0† b@­8sÐf‰bCgGgFh‡v€|€ 8·
T° r€|ƒ· ˆ· T° ÎjwuwuDbCg·Å~ϰQq|fNaq|nojldojlq|gbvu»ce­0ul`Tsxq|c¬b@ce®¯bCce`r®G`Qnojl´|g¾ce`±gG`QfN`Qg0dQ· Çg
-#/10
0h `Q°Qde­Gce` q|de`Qnjlg#]qmfNaG­de`QcM^8°jl`Yg°Q`
‡v„ @‚habC´m`Qn„@‚ 8·}^8aGcojlgG´|`Qco† %`QcouDbC´Gh‡v€|€|ƒ0·
ÎjwuDƒ8‡ /· ÎjwulgG`QcQ·~zg¶bvul´|`Y²c,bQjl°Î®G`±g8jldojlqmg½qCstnojlf­0uDbCdojlqmgç²`Qdo¯`Y`Qgraceqm´|c,b@fNnQ· og
Qh
abC´m`Qn/‚ 8‡ 0‚ m€8·«³¬G`ycojldojlne¬6]q|fNaG­de`Yc^0q0°jl`Qdopmh=‡@€mƒ8‡m·
^8d,b \· Æ ·^8d,b@ce{·~Åaceq0q@s%de`Q°,¬g0jlÌ0­`sxq|cce`ulp @´|­bCc,bCg0de`Y`Naceqma`Qcedojl`QnQ· og
Qh `Q°Qde­Gce` ³qmde`Qn/jlg½]q|f»a­Gde`Qc»^8°jl`Yg°Q`;„m… 8h–ab@´|`Qn |€ |€0‡|·
^0aGcojlg´m`Qco† `QcouDb@´h%‡@€ 8·
T
]
125=<?> -" !A!+ & =+"
#]
:BD9"> " C/ "%$&5D UH
]
\
H
J
K
,J
H
J
1
H
!
12.&+"
[\
H
W
1U5 ?
< > "0!A D
0QRM
, =+" J
ON
K
M
T ?H
SS ! 6"%$& &L*&"0&+"&+/.&"31U&D
SP Q P
H
=O0
[PM
!:"%$&
"%$12O0,: 4 > &+" !='
!"2+O
1U5 <?> "0D'
& &J
K
ON
[PM
1
DW
A
D" =+/ *&"//%E W #=O0SS
$&&/% :+& ,$&O0"+/
\
LR[\ QR