"!#%$&'')(*!+(,$&''%- /.0

1 243657598;:7<7=<736>?

@ :78A598A?<98ABC<9>D<7E8GFH=)I;JHK6<MLN>)OP<7E8RQS:T=)BHJ'=<98VUWITEH>>K
>)O
X =)KY8GZS?H3Y[)8;:"573Y<ML
36?]\=)?HBH36BH=)I*L^O_>):`<7E8a2S8;b):78;8G>)O
2c>WI*<9>):`>)O @ EH36KY>59>)d/EL

eL
Qf=)J:T3#UWE'=)E
243657598;:T<7=<73Y>? 243Y:78AI*<9>):hgji=)kl8A5`1c59d/?8A5
2S8AI*8AkRmn8;:4op)pq

I o p)p
DmL Qf=)J:T3#UWE'=)E
1cK6Kn:"3YbE<75 :78A598;:7[)8AB


  dn8;8;: <9> dn8;8;:B'3659<9:T3Ym/J<98ABl=)KYb)>):T3Y<7E'k&55W3Yd&b):"=d'EH5B'3659<9:T3Ym/J<98AB EH=)57E&<7=m/KY8A5
O =)JHKY< <9>KY8;:T=)?< :7>JH<736?b


  "!#%$&'!($ %$)*+
 ,-$&(.%/10-23 *+54


   
  
  
      
    
 
   
 
    
!

Qf=)J:T3#UWE'=)E
op)pq
@ 8;8;: <9> dn8;8;:59LW59<98Ak&5 =:78cBH3 59<9:T3Ym'JH<98ABl59L57<98Ak&5 >)O+EH8;<98;:7>)b)8A?8;>JH5k&=)I"EH36?8A5#"`3Y<7ED?H>RI*8A?<9:T=)K
=)J<7E>):"3Y<ML P<7EH=<V=:78^JH578AB%O >):G8 $DI;3Y8A?<RkD=)?H=b)8Akl8A?<V=)?HB KY>WI;=<73Y>?%>)O 57E'=:78AB%:78A57>J:TI*8A5 ]UWJ'ITE
59LW59<98Ak&5aE'=A[)8&mn8AI*>kl8&[)8;:TL]dn>)d'JHK =:SO >)&: % ?<98;:"?8;<a=dHd'K63 I;=<73Y>?H5f36? =C57EH>):7<fdn8;:T3Y>WB >)O<736kl8 mn8 
I;=)JH598 <7E8;L dH:7>h[W36B8V36?HE8;:T8A?<S57I;=)K6=m'36K 3Y<ML mL BH3657<9:T3Ym'J<73 ?bl<7E8 KY>=)B >)O k&=)36?<7=)36?H36?Hb&<7E8l59LW59<98Ak
=)I*:7>575^=)K6K<7E8Cd/=:7<736I;3Yd'=)?<75  1<&<7E8]57=)kl8 <736kl8  <7E8;LdH:78A578A?<&?8 " ITEH=)K6K68A?b)8A5&36? B8A5T3Yb?H36?b
BH3657<9:T3Ym'J<98AB B'=<7=]59<9:"JHI*<7J:78A5G<7EH=<VI;=)? dH:7>,[3 B8D<7E8 B8A573Y:T8AB O J'?HI*<73Y>?H=)K636<ML 57JHI"E =)5VBH=<7= =A[=)36K 
=m'36K 3Y<ML BL?'=)k&36I 59LW59<98Ak k&=)36?<98A?H=)?HI*8 W=)?HB 57JdHdn>):7< O >):I*>kld'KY(8 '*)J8;:T3Y8A5jJH5736?HbGJH?<9:TJH59<98AB =)?HB
JH?:T8AK636=m'KY8SI*>kldn>?8A?<75 
+ 8 dH:78A578A?<^,< " >I*>kld/KY8Akl8A?<7=:7L BH3657<9:T3Ym'J<98AB B'=<7= 59<9:"JHI*<7J:78A5D<7EH=< I;=)? mn8 JH578AB <9>36k 
d'KY8Ak&8A?<&8 $^I;3Y8A?<Dd8;8;:  <9>  d8;8;: 59LW59<98Ak&5 .- E8 /H:"59<&BH=<7= 57<9:TJHI*<7J:78C3 5&=)? =m'57<9:T=)I*<^kl>WB8AK>)O
=   0 
1  
 324 25 
6 
 1"`EH36I"E%365GJ'598AB =)5R=)? >,[)8;:TK6=AL ?8;,< " >):  mL%k&=)?L%I*>?<98Akldn>):T=:7L
dn8;8;:  <9>  dn8;8;:59LW59<98Ak&5 - EH365 BH=<7=459<9:TJ'I*<7J:78 dH:7>h[W36B8A5P36?'E8;:78A?<#KY>=)B m'=)K =)?HI;36?b )=)?HBR<7E8?J'kGmn8;:
>)O:7>J<736?HbNEH>)d'5fO >):G= 598A=:TI"E 365aK6>)b=:T3Y<7EHk&3 IV3 ? <7E8&?J'kGmn8;:f>)O:78A59>J:"I*8A5a36? <7E8D57L59<98Ak  + 8
59<7JHBHL b):T8;8ABL :7>J<736?Hb&36?C<7EH3 5 kl>WB8AK '=)?HB dH:7>,[)8VKY> "j8;:Smn>JH?HBH5=)?'B JdHdn8;: mn>JH?'BH5>? :T>J<736?b
36? <7EH8GdH:78A578A?HI*8a>)O O =)36K6J:78A53 ? <7E8R?H8;,< " >):   + 8VdH:78A598A?<`59>k&8RE8AJ:"3659<736I;5O >):cI*>?'59<9:TJHI*<736?Hb&<7E8
?8;7< "j>):  =)?HBCb3Y[)8a(8 'Wd8;:"36kl8A?<7=)Kn:78A57JHKY<75>?C<7E8adn8;:7O >):Tk&=)?HI*8a36?Nd':T=)I*<736I*8 
+ 8V=)K659>ldH:78A578A?< =l?>,[)8AKBH3 59<9:T3Ym'JH<98AB^BH=<7=D59<9:TJHI*<7J:T8aI;=)K6KY8AB = 89;:< :2 "cEH36ITE 3 5= <9:T3Y8
>)O5 36d%K63659<75S<7EH=<G5TEH=:78&KY> "j8;:GK =AL)8;:T5 ^15 W3Yd b):T=d'E%dH:7>h[W36B8A5fk&>59<f>)O<7E8lO J'?HI*<73Y>?H=)K636<MLC>)O=
BH3657<9:T3Ym'J<98AB E'=)57EC<7=m'K68 =%? =)BHBH36<73Y>? '3Y<c57JdHdn>):7<75 57d'=<736=)K KY>I;=)K 3Y<ML =)?HB]I*>kld'KY(8 ' 598A=:"ITE8A5457JHI"E
=)5a?8A=:Rk&=<7ITE8A5a<9> = )8;L  )8;LW&5 "`36<7EH36? = 59dn8AI;>3 /H8AB :T=)?b)8 +>):R=dHdH:7> 'W36kD=<98 )J8;:"3Y8A5  + 8lb3Y[)8
5736k&d'KY84=)?HB 59<9:T=)3YbE<9O >): " =:"B =)KYb)>):T3Y<7EHkD5<9>&598A=:TITE]=)?HB 36?H578;:7< =l?H8 " :78A59>J:"I*8a36?N=l5 36d b):"=d'E 
+ 8R=)K 59>&b3Y[)8V=l:78;d'=)3Y:ckl8AITEH=)?'3657k <7EH=<SI;=)?Cmn8GI*>kRm'36?8AB "`3Y<7E <7E8GO =)JHK6<  <9>KY8;:T=)?HI*8RdH:7>)dn8;:7<73Y8A5
<9>&b3Y[)8R=&59<9:7>?blO >JH?HB'=<73Y>?NO_>):c=&EH3YbEHK6L&:78A5736K 3Y8A?<?8;7< "j>):  

8
  6 
 1< 
 
%`57<736K6K /'?'B]3Y<SEH=:TB]<9>^mn8AK6368;[)8G<7EH=<4<7EH365c365c<7E8R8A?'B >)O kRLCb):T=)B'JH=<98l57ITE>>K BH=ALW5 =)?HB]<7EH=<
<7E8R<736kl8GEH=)5SI*>kl8V<9>D8(W' dH:78A575ckGL <7E'=)? 5cO >):`<7E8 j" >?HBH8;:7O J'K <736kl8&% E'=A[)8 59dn8A?<`EH8;:78R=< X =)KY8 
%< j" 8AK6Kk&=ALNmn8fmn8AI;=)JH598 % ?8;[)8;: ) JH3Y<98f:78A=)K 3;8ABN<7EH=<`3Y< 
 # 2 EH=dHdn8A?KY8;< =)KY>?8a57>D59>>?
" E> E'=)5amn8;8A? kl>57<G:78A59dn>?H5T3Ym'KY8VO_>):V<7EH365GBH365
 8;<Rkl8 59<7=:7<GmL <7EH=)? W36?b <7E8^>?8Ddn8;:T57>? `
598;:7<7=<736>? 598;8A36?bN<7E8&K636bE<S>)O B'=AL `kRL]=)BH[3657>):i=)kl8A5f1S59d'?H8A5 &c% I;=)?%8A=)5736KYL 3 k&=b36?8 kGLW598AKYO
KY8A=h[36?Hb X =)K68 `" 3Y<7E= ]=)59<98;:T5DBH8;b):78;8C36? EH=)?HB  EH=)B 3Y<&?>)<lmn8;8A?O >):Di36k  + 3Y<7E EH365V8A?HB'KY8A575

8A?HI*>J:"=b)8Akl8A?<d/=<73Y8A?HI*8 W=)?HB&8A?<7EJ'5736=)57k WE8SEH=)5mn8;8A? =   =)BH[3657>): c84EH=)5 <7=)JHbE<kl8
k&=)?LD<7EH3 ?b5 :T3YbE< O :7>k 5736k&d'KY8ckD=<7E8Ak&=<736I;=)Kn<9:T3 I W5j<9>l<7EH843 kldn>):7<7=)?HI*8S>)O#I;=:7<9>>?H536? <7=)K W5 
 >59<c36k&d>):T<7=)?<7KYL /E8G=)>K "=ALW5cE'=)BC<7E8R<736kl8aO >):ckl8 "`E8;<7E8;: % " =)5S=)5 W36?b&EH36k =&O =)3Y:`dH:"36I*8f<9>
:78;d'=)36:SkRL mH:T> )8A? I;=:a= 'WKY8V>):aBH365TI;JH575736?Hb&<7E8 dH:7>>)O>)O   % "`36K Kk&365T5cEH3 5cB8AK 3YbE<9O JHK
EJHkl>):G=)?HB =)K6K <7E8&:"=)?HB>k I*>?[)8;:T57=<73Y>?'5a>?%<9>)d/36I;5G57J'ITE%=)5G<7E8D36?HI*>):T:78AI*<GB8A5736b? >)O 43 W36?b
E8AK6k&8;<75  + 3Y<7EBHJ8 =d>K6>)b3Y8A5V<9> i36k 1%GI;=)?H?>)<V<7EH=)?  EH36k 8A?H>JbEO_>): <7E8 >)dHdn>):7<7JH?H36<ML <9>
m'=)5 N36?N<7E8RK63YbE< >)O EH3 557E8;8;: mH:"36K6K636=)?'I*8`O >): <7E8GK6=)57<<7E:78;8aL)8A=:T5 
 L =dHdH:78AI;36=<736>? =)K659>lb)>8A5 <9>&=)K6Kn<7E8G>)<7E8;:`kl8AkRmn8;:T5>)O kGLNI*>k&k&3Y<9<98;8GO_>): <7EH8A3Y:[ =)K JH=m'KY8
O 8;8ABm'=)I =)?HB <736kl8 %G<7EH=)?  i>=)? F8A36b)8A?m'=)J'k O_>): kRJ'ITE M?8;8ABH8AB=)BH[36I*8 >?I;=:78;8;:&ITE>3 I*8A5 
1c:7[3 ?HB f:"3657EH?H=)kVJ:7<7EL " =)5P=)>K "=ALW5P:78A=)BLG<9>SBH3 57I;JH575#dH:T=)I*<736I;=)K36575TJ8A5#3 ?R?8;7< "j>): 36?Hb =)?HBR57d'=:78
I*>> 3Y8A5`O_>):Skl8G=< <98A=  <73 kl8  % =)k B8AK63YbE<98AB <7EH=<S1c?<9>?"L !`> "`59<9:T>? "=)5`8A?<7EJ'5736=)59<736I48A?H>JbE
<9>DI*>kl8R=)K6K <7E8 "=ALC=)I*:7>5T5 <7E8a1<7K6=)?<736If<9>^=<9<98A?HB kRL B8;O_8A?'598 
24=)?H=N1S?bK6JH36? EH=)5Smn8;8A? =^I*>?H57<7=)?<a59>JH:TI*8 >)O 36?H59d/3Y:T=<73Y>?]=)?HB =^:T>KY8Vk&>B8AK#O >):4k&8 VUWE8
"=)5S=)K " =hL548A?HI*>JH:T=b36?b "`E8A? % <7=)K )8AB <9> E8;:S=mn>J<S=)?L<7EH36?Hb^<7EH=<Smn>)<7E8;:78AB kl8  =)?HB %`=)k
b):T=<98;O JHK <9>CE8;:GO_>):GEH8;:a36?[=)K6JH=m/KY8V=)BH[36I*8l>? 598;[)8;:T=)K >WI;I;=)573Y>?H5 #! 8A? 8 $ @ 8;:T=)KY<7= K63YbE<98A?8AB <7E8
=<7kl>59d/E8;:7&8 "`36<7E EH36536?HI*:T8ABH3Ym'KY8S598A?H598f>)O EJHkl>): =)?HB =lO_:"3Y8A?HBHKYL^57k&36KY84?(8 'W<`B>>):`=<`=)K6Kn<73 kl8A5 
%4<7EH=)?  <7E8DBH8;d'=:7<7kl8A?<G=)BHk&3 ?H3659<9:T=<736[)8 57<7&= %  8A59dn8AI;36=)K6KYL  36?'BH=N2c>)m'm%O_>):R<7= 3 ?bCI;=:78D>)O
<7E8 36?H8;[3Y<7=m/KY8 J'?H3Y[)8;:T5736<MLaO >):Tk&=)K636<73Y8A5 =)?HBl1Skl8AK636= -#>8A?'57kl8A3Y8;:=)?HBD\K6=:T=GQ4=:7bJ'36KY>4O_>):EH8AKYd'36?b
>J=< "c3Y<7E 59>&k&=)?L B8;<7=)36K65K63 )8aK6=dH<9>)dC:78A578;:7[ =<736>?H5 =)?HBN(8 'Wdn8A?H598f:78A36kRm'J:"598Akl8A?<75 
- EH8A598c=)I ?> "`KY8ABbk&8A?<75 " >JHK6BDm8S36?HI*>kld/KY8;<9=8 "`3Y<7EH>J< <7EH=)? 36?HbGkGLlO 8AK6KY> " b):"=)BHJH=<98459<7J 
B8A?<75 'CL%> $^I*8 Mk&=<98 !c=)EJ'KUW=)kD3  EH=)5REH8AKYdn8AB%<9> m'JH36K B%kGL ITEH=:T=)I*<98;:l>,[)8;:l<7E8NK6=)59<VL)8A=:
mL^57EH=:"36?bRE'365j3 k&kl8A?H598 W?> "`K68ABb)84>)O#59LW59<98Ak EH=)I 5=)?HB <98A=)I"EH36?b&kl84<7E8f36k&d>):T<7=)?HI*8c>))O (8A?
[3

75 =hL36?Hb5  + :T3Y<736?Hb]kRL BH365T598;:7<7=<73Y>? " =)5 8A=)5T3Y8;:l=)?HB= K6>)<V>)O`O JH? mn8AI;=)JH598 E8" =)5 "`:T3Y<736?b]EH365
<7E8A573 5=< <7E8S57=)kl8 <73 kl8  % EH=A[)8S=)K659>G57E'=:78ABD59>k&8="j>?'B8;:7O JHK<736kl8A5 "`3Y<7E#a=:"EH=)?D1 I*>)bK6JWkGL
> $DI*8 Mk&=<98 O >):G<7E8/':T59<a<7E:T8;8&L)8A=:T5V36? <7EH365fBH8;d'=:7<7kl8A?<  CL E8A=:7<9O 8AKY<a<7E'=)? 5G<9> kRL >)<7E8;:
O :T3Y8A?HBH5DQf=mH:T3Y8AK  >E  @ =<9:"36I  SJb)b36?H5i=<736? UWEH=)E  43 
 =AL !`=)k&=)I"EH=)?HB:"=)?=)?HB 1SKY85T=)?HB:
X =)kldn>K65 W3YL n?>)<S>?HKYLCO >):c<7EH8 B'3657I;JH575T3Y>?H5:78AK =<98AB]<9>N:78A578A=:TITE =)?HB]>)<7E8;: "c36598 nm'J<cO_>):f=)K6K#<7E8
O JH? <736kl8A5f<7E'=&< "j8^EH=A[)8 57EH=:78AB <9>)b)8;<7EH8;:R=)&5 " 8AK6K -`EH=)? W5f=:78D=)K659>]BHJ8 <9> c8AEH=  8A?>? O >):
dH:7>>)O :78A=)BH36?blkRLN<7E8A57365 
]=ALWJ:&EH=)5 59<98A=)BO =)59<7KYL 59<9>>WBmL kl8^<7EH:7>JbE=)K6K kGLJd'5V=)?HB BH> "`?H5 36? <7E8A598 K6=)57<RO >J:
L)8A=:T5   3YO 8 " >JHK6BEH=h[)8Cmn8;8A? kl8A=)?H36?HbKY8A575 "`3Y<7EH>J<l=)K6K <7E8C59>?b5&EH8CEH=)5&57JH?Hb O >):&kl8  <7E8
O :78 )JH8A?<j<9:T3Yd'5 <9>&\=)K636O_>):T?'36= =)?HB&<7EH8cKY>?bVI*>?[)8;:"57=<73Y>?H5=mn>J<8;[)8;:7L<7EH36?HbR=)?HB^?>)<7EH36?b  1S?HB
<7EH365R<7E8A573 5 " >JHK6B EH=A[)8Nmn8;8A? I"E>WI   O JHK K >)O 8;:T:7>):T5 "`3Y<7E>JH<GEH365VI;=:78;O JHK d':7>>)O:T8A=)BH36?b  % /'?HB
3Y<G3 kldn>57573Ym'K68R<9>]<7EH=)?  kGL mn8A59<aO :T3Y8A?'B 59> % "`36K K 
 JH57<a57=AL <7EH=<R<7EH365RBH3657598;:T<7=<73Y>? " >JHK6B%EH=h[)8
:78Ak&=)3 ?8AB 36?HI*>kld/KY8;<98 "`3Y<7E>JH<E'36k 
FP36?H=)K KYL =)5kVJHITE =)5 % "j>JHK BDK63 )8c<9> !% I;=)?H?>)< <7EH=)? &kRLlO =)kD36KYL 8A?>JbEN36*? "j>):TB'5 O >): <7E8A3Y:
JH?HI*>?'BH3Y<73Y>?H=)K K6>h[)8R=)?'B 57Jd'd>):T< =<c=)K6K <73 kl8A5  CL 573 59<98;:cZSk&=D=)?'B kRL m':7>)<7E8;: M36? MK6= " ]=)?> 

EH=h[)8S=)>K "=ALW5j8A?HI*>J:T=b)8AB kl8 W=)?HB %EH=h[)8c?8;[)8;:EH=)B&<9> "j>):T:7L&=mn>J< kRLVO =)k&36K 36=)KBHJ<73Y8A#5 "`EH36K68 %
"=)559<7JHBLW36?bfBHJH8 <9>G<7E8A3Y:59<98A=)BO =)59< 5TJdHdn>):7<  L d'=:78A?<75EH=h[)8 b3Y[)8A?&kl8O =: kl>):T8<7EH=)? % 8;[)8;:
B:78A=)kR<>)O  %j=)kO >):78;[)8;: 36?'B8;mH<98AB^<9>V<7EH8AkO >):EH=A[W36?bVb3Y[)8A?Nkl8S<7E8fITE>3 I*84=)?'BD<7E8fI"EH=)?HI*84<9>
d'J:"57J8 "`EH=< %B8A573Y:T8AB =)?HB <9>&mn8 "`EH=< %=)k <9>WBH=hL  -#>l<7E8Ak %B8ABH36I;=<98G<7EH365<7E8A573 5 

[W363






8
   6 
 < 
 
 
6 
    
 
    ;<  

    
16 

    - E 8f dn8; 8;: <9> dn8;8;:cd'=:T=)BH3Ybk

4
4;
4
4

 o  [)o >K J<73Y>FP? 3Y:T57>)<O  b)dn8A8;?8;8;::T<9=><7 3Ydn>?]8;8;59:cL5957LW<98A59<9k&8Ak&5 5
 o o \ >?<98Akldn>):T=:7LN59LW59<98Ak&5
q  >B8AK
  4UWJHJkD:ck&I*>=?:7<9L :T36m'J<73Y>?H5
 o 
 6 FP
 3Y:T59< b)8A ?H88;:T=<73Y>? 57L59<98AkD5
o o e 8;O_>):T8R243659<9:T36m'J<98AB c=)5TE -#=m/KY8A5
o o  S=)57EH36?Hb
o o o @ K6='<9>?"&! !`= 
 =:T=)k&=)?#&! !c36ITEH=%$ @ ! !'&=)KYb)>):T36<7EHk
o q 243659<9:T36m'J<98AB"S=)57E - =m'KY8A5
o q  \ >?<98A?<M=)BHB:78A575T=m'KY8G?8;<7"j>): 
o q o - =dn8A59<9:7LN=)?HB @ =)59<9:7L


 
 









 



 
 
 

o 


o 
o (
o +

    
 
  
   
                
          
              

  
  
  
  
  
  
  

  
  
  
  
  
  
  

  
  
  
  
  
  
  

                
            
                     
 
                
         
              
                      
             
                      

            
                 
                   
                
                 
                       
               
          
                  
      

  
  
  
  
  
  
  

o  q  q \EH>):TB
\ 8A?H57>):T57EH3Yd  :78A573659<7=)?<?8;<," >): W5
oS<7 E  8;:c59cL57><9? 8Ak&[W3Y5 :7<7JH=)K63 ;8AB 59L57<98Ak&5
o   o cLm':T36B 59LW59<98Ak&5
% kldH:7>,[)8ABCO 8A=<7J:78A5
o  (   U8A=:"ITEC<98AI"EH?H3 )J8A5
o  (  o  >=)BCm'=)K6=)?'I;36?b
1cdHd'K636I;=<736>?H5
o +   @ Jm'K6365TEH36?bV59L57<98Ak&5
o +  o + 8;m]d'Jm'K63 57EH36?bR=)?HBCI;=)ITE'36?b
o +  q S=)kl8G598;:T[36I*8A5
o +  
 c8;,< " >):  dn8;:7O >):Tk&=)?HI*8akl8A=)5TJ:78Akl8A?<
[363 3

  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  

  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  

  
  
  
  
  
  
  

o


  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  

  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  















 p

o
  q
 
) (
 

op
o
o)o
o)q
o

o


o*

o(

o,
o,
o*
o*
o*-

o +  ]=)?H=b36?b
'=)57ECI*:7>"`BH5
o +  ( QS:T>Jd I*>k&kVJH?H36I;=<736>?

 q    6  S [) 8;:76 
[W3Y8 "      4<
q o 4 J:c=dHdH:7>=)I"E
q o  \ >k&d'=:T3659>? "c3Y<7E
q o o -#>>K



q q
q 


q 
q (

q +
q 

 
 

             
           
 
            
           
 
 

  
  
  
  
  
  
  
  
  
  
  
  
  
  

2 -5

 > "j8;:Smn>JH?HBH5
ZcdHdn8;:m>J'?HBH5 "`3Y<7EH>J<O =)36K J:78A5
q  
   UW3 ?bKY8fKY>?bMBH3 59<7=)?HI*8aK636? 
q  
  o ]JHKY<73Yd/KY8fKY>?b MBH3657<7=)?HI*8aK636? W5
ZcdHdn8;:m>J'?HBH5 "`3Y<7ENO =)36K6JH:78A5    
q    FH=)3 K6J:78f>)OPK636? W5       
q   o FH=)3 K6J:78f>)OP?>WB8A5       
\ >?H57<9:TJHI*<73Y>? >)O b):T=d'E'5       
\ 'W>dn?HI;8;K:TJH36kl573Y>8A??H<75=)=)Kn?H:7BC8A57J'O JKY<7<75JH:78 "j >) :     

  89;: :12

 
2S:T=`" m'=)I W5`>)O 2 - 5

  
  
  
  
  
  
  
  
  
  
  
  
  
  

  
  
  
  
  
  
  
  
  
  
  
  
  
  

o 4J:c=dHdH:7>=)I"E
q U W3Yd b):T=d'E'5

 q 
% kld'KY8Ak&8A?<7=<73Y>?

 

! 8AK =<98AB " >): 

 
1SKYb)>):T3Y<7EHkD5O_>):S=l5 36d b):T=d'E

   
- EH8a598A=:TITE >)dn8;:T=<73Y>?

   o
- EH8a36?H598;:7<>)dn8;:T=<736>?

   q
- EH8aB8AKY8;<98a>)dn8;:T=<73Y>?

   

\ >):T:78AI*<7?8A575`>)O =)KYb)>):"3Y<7EHk&5

 (
1cdHd'K636I;=<736>?H5>)O 5 3Yd b):"=d'EH5  

 +
FH=)JHK6< <9>KY8;:T=)?HI*8         

 +  
!c=)?HB>k O =)36K6J:T8A5    

 +  o
1SB[)8;:T57=:"36=)K O =)36K6J:78A5   

 
! 8;d/=)3Y:`kl8AI"EH=)?H3657k       

   
]=)36?<7=)36?H36?b <7E8R36?[=:T36=)?<

   o
!`8A59<9>):T36?b&3 ?[=)K636BNI*>?H59<9:"=)36?<75

   o  
! 8A59<9>):"36?blm'=)I dn>36?<98;:`I*>?H59<9:"=)36?<75

   o  o
! 8A59<9>):"36?b&36?<98;: MKY8;[)8AK+I*>?'59<9:T=)36?<75 

   q
@ :7>>)O >)O I*>):7:78AI*<7?8A5T5             

 \ >?b)8A57<73Y>?                      

 -  
1c[)8;:T=b)8 I*>?b)8A59<73Y>? O_>):`=l5T36?bKY8a598A=:"ITE   

 -  o
243659<9:"3Ym'J<73Y>? >)OP<7E8a=h[)8;:T=b)8VI*>?Hb)8A59<73Y>?   

   p \ >?HI;K JH573Y>?H5=)?HBCO J<7JH:78 "j>): 
           

 

 

  
      
       
 
      

o*o*-

                         
                         

  
  
  
  
  
 
 
 
 

  
  
  
  
  
  
  
  
  
 
  
  
  
  
  
 

3'

  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  

  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  

  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  

  
  
  
  
  
  
  
  
  
  
  
  
  
  















  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  

  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  

  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  

  
  
  
  
  
  
  
  
  
  
  
  
  
  

 q 
q)q
q*
q,
q*


 
 
 
 
 

q
(
) pq
*-(

(( o
(( q
( p
 q
* -
*(
*- p-*- (

 




 
 






 




 
 




 
 

  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  

 

















































 p)p)pp
 pp,q
*** o
**)(



 o 4 \S6; >dn?H8AI;?  K JH@ 57:T3Y>>)?Hm'5KY8A
k&5 : 
   
6 

 oo o !cU<736=ITE<98 8; :  )>JI;=)8;:TK 3YL <ML K6=)<9?H:T=)bBHJH8=b)> 8 %
 oo q #-#>)$DdnI;>3YKY8A>)?b< 36I;:7=)8;K6d'KYL=)M3Y:598A?H5T3Y<73Y[)84>h[)8;:TK =ALC?8;<7"j>): W5
 oo ( S=c8)"?HBHBK63 8A?5Tb 3YbO ?H=)5 36K J:78A5



 
 
 

 

 
 

 
16 < :12 

            
          
 
  
      

  
  
  
  
  
 
              
                 

'

  
  
  
  
  

  
  
  
  
  

  
  
  
  
  
  
  
  

  
  
  
  
  
  
  
  

  
  
  
  
  
  
  
  

  
  
  
  
  
  
  
  

 
 
 
 
 
 
 
 

 *  
 oopp
 oo)o
 o)o)oq
o
 




  
  
 
o   PF 3Y:T59<b)8A?H8;:T=<73Y>? 57L59<98AkD5;g S=d'59<98;:Qf?J<98AK K6= a=(n=)1 '=)?HB  >):7d'E8AJ'5 
o  o \ >?<98A?<M=)B'B:78A5757=m/KY8G?8;<7"j>):                        
o  q - = d8A57<9:7L                                  
o  
 \E>):"B                                   
o  \ 8A?H57>):T57EH3Yd  :78A573659<7=)?<?8;<," >):                       
o  ( -#8;:7:T=)243Y:                                  
q   1057=)kld'K684k&8;<9:T36I M59d'=)I*8G8AkGmn8ABHBH3 ?b                    
q  o 243 %n8;:78A?<cK636? W5ITE>598A? O_>):`>?8 M5736B8AB =)?HB ,< " > M5736BH8AB :7>J<736?Hb       
q  q 243 %n8;:78A?<c?>BH8A5:78A=)ITE'=m'KY8aO :7>k 59>J:"I*8G?>WB8f<9>&<7=:7b)8;<S?>BH8      
q  
 ]JHKY<73Yd'K684K6>?b MBH3659<7=)?'I*8aK636? W5                        
q  FH=)36K J:78f>)O K636? W5                               
q  ( - E8aBH8;:T3Y[)8ABCK63 ? DBH3657<9:T3Ym'J<736>?                       
q + :T:7>): mn8;,< " 8;8A?C<7E8aBH8;:T3Y[)8ABCK63 ? DBH3657<9:T3Ym'J<736>?^=)?HBC<7E8a36B8A=)Kn>?8     
q  FH=)36K68ABC598A=:TI"E8A5                               
q - 1c[)8;:T=b)8V?JHkRmn8;:>)O#:7>JH<736?b&E>)d'5                     
q   p \ >kld/=:T36?b O =)36KY8AB 598A=:TI"E8A5S36?N<7E8a36B8A=)K =)?'BCB8;:T3Y[)8AB ?8;,< " >): W5     

 
105 W3YdCK63659<                                 

 o
105 W3Yd b):T=d'E                                

 q
 >BHJ'K6=: I*>kldn>573Y<73Y>?N>)O BH=<7=D59<9:TJHI*<7J:T8A5                 

 

% ?H598;:7< 36? =D5 36d b):T=d'E                           

 
43Y>K6=<73Y>? >)O\ >?H57<9:T=)36?<75  =)?HB q                     

 (
 8;:T5736>?CI*>?<9:T>9K "`3Y<7E =D5 36d b):T=d'E                    

 +
ZS598;: MKY8;[)8AK:78;d'K636I;=<736>? "`3Y<7E =l5 W3Yd b):T=d'E                 

 
% 59>K6=<98AB ?H>B8A5 ! @ :T36kD=:7LDI*>kldn>?8A?=< "`3Y<7E ?H>B8fO =)36K6JH:78A5         

 F:T=)I*<736>? >)O O =)3 KY8AB 598A=:TI"E8A=5 "`36<7ENO =)36K68AB ?>BH8A5               

   p 43Y>K6=<73Y>?H5 >)O#m'=)I dn>36?<98;:c=)?'B 36?<98;: MKY8;[)8AK+I*>?H59<9:"=)36?<75          

  * - " 
>  " =hLCkl8;:7b)8a<9>D:78;d'=)3Y:`= [W3Y>K6=<98AB 36?<98;: MKY8;[)8AK+I*>?H59<9:"=)36?<       

   o 4?8  "=ALCk&8;:7b)8a<9>&:78;d/=)3Y: =l[W3Y>K6=<98ABC36?<98;: MKY8;[)8AKI*>?H59<9:T=)36?<       

  
q - " >  " =hLCkl8;:7b)8a<9>D:78;d'=)3Y:`= [W3Y>K6=<98AB 36?<98;: MKY8;[)8AK+I*>?H59<9:"=)36?<       

   
  N>)d8;:"=<73Y>?N<9>^kl8;:Tb)8a?>BH8A5>? <7E8G5T=)kl8GKY8;[)8AK         

    \ >?b)8A57<73Y>? 36?N<7EH8a?>BH8A5>)O =D5 36d b):T=d'
E            

'W3



  
  
  
  
  
  
  
  
  
  



  
  
  
  
  
  
  
  
  
  
  
  
  
  
  



 
op

  
  
  
  
  
  








o)o
)o q




q


p

o

 q





















**
,*
*

((*(
(  (
,*-



 pp-p
 pp,
*p (








































  



  

o   1S? 8('W=)k&d'KY8a>)O <7E8 @ ! ! :T>J<736?b <7=m'KY8           
q   UWJHkDk&=:7LD>)O Jd'd8;:=)?HB KY>" 8;:`mn>JH?HB'5jO >): b):78;8ABHL T: >J<736?b 

 
 3 59<>)O =)K6Kn<7E8f[=:T36=m'KY8A557<9>):78AB =< 8A=)I"E]?H>B8        
   \ >kld/=:T3659>?N>)OPdn8;8;:  <9>  dn8;8;:`59LW59<98Ak&5            

'363

          
          
          
          


*
* -


 

 
    
 


 
 $



*

$(  
  + 
 * $

  #(  
 





 
 4

 +  
 . 
 $ # +   %

  2
*





 +  
 ., + +  
  +  2/23 $



$  *+
 " 

+
 #   $1/2 &) 10





# 


  #( + ))1

 #  

%10 % 2 #  +$ 
   4

 "!$#&%('*),+-).#&'0/214365(#.78:9(;&<=?>

% ? <7E8GK =)59<`B8AI;=)B8  "j8REH=A[)8 "`3Y<7?8A5T598AB =lmn>>k 36?N<7E8GJ'598a>)OP<7E8&% ?<98;:"?8;< O >):cBH3657<9:T3Ym'J<98AB
=dHd'K 36I;=<73Y>?H5  4?H8 >)Of<7E8]d>)d/JHK6=:D=dHd/K636I;=<73Y>?H5D365D<7EH8]JH598]>)O : 
 
  : 
 
   
 O >):
kVJH5736I '/ KY8457EH=:"36?b mn8;<," 8;8A?CI*>k&kVJH?H3Y<73Y8A5 >)O 8A?HB JH598;:"5  % ?Ci=)?J'=:7L  -*-*-  UWEH="c? F'=)?H?H36?blKY8;O <
c>):7<7E " 8A59<98;:T? ZS?H3Y[)8;:T5T3Y<MLa36?VEH365O_:T8A57EHk&=)?GL)8A=: <9>SB8;[)8AK6>)dR<7E859>)O <," =:78O_>): S=d'59<98;:'$ * & 0"`EH3 ITE
"=)5 dH:7>)m/=m'KYL <7E8&H/ :T57<d'Jm'K63 I;KYLMBH8;d'KY>hL)8ABN59LW59<98Ak O_>):SkRJH5T36If57EH=:T3 ?b  S=d'59<98;: " =)5`=)?]36?H59<7=)?<
57JHI;I*8A5T5 JH598AB]mL kD36K6K63Y>?'5>)Odn8;>)d'KY8R=)K K+>h[)8;:f<7EH8 " >):TK6B 59>>? =O <98;:f3Y<75S36?HI*8;dH<73Y>?  c>" 8;[)8;:+3Y<
"=)557J8ABVmLG<7E8 !`8AI*>):TB % ?'BHJH59<9:7LR1c5757>I;36=<736>?R>)On1Skl8;:T36I;=A@ !=% 1S1CB#O >):I*>)dL:T3YbE<36?O :T36?Hb)8Akl8A?<
36?^2c8AI*8AkRmn8;:  -*-*- #% ?D59d'36<98`>)O=Gd'=:7<7?8;:T5TEH3Yd`" 36<7E&<7E8aQS8;:Tk&=)? kl8ABH3 =GI*>kld'=)?L e 8;:7<98AK65Tk&=)?H?
1`Q <9>VBH8;[)8AKY>)d =Vkl8AkRmn8;:T57EH3Yd  m'=)598ABlBH3657<9:T3Ym'J<736>?l59L57<98Ak <7EH=< " >JHK6B&bJ'=:T=)?<98;8Sd'=hLkl8A?<75 <9>
=:7<73657<75 S=d'59<98;: " =)5S8;[)8A?<7JH=)K6KYLC5TEJ<cB>`" ?]mLCKY8;b=)K=)J<7EH>):T3Y<73Y8A5c36?]op)p   - EH365/E>" 8;[)8;: BH36B
?>)< d'JH< =)? 8A?HB <9>fdn8;8;: <9> dn8;8;: // KY8 5TEH=:T36?b =)?'B " 8 57=" <7E88Akl8;:7b)8A?HI*8`>)Ok&=)?LRBH8AI*8A?<9:T=)K 3;8AB
S=d'59<98;:MI;KY>?H8A5 36?HI;K JHBH36?baQ4?J<98AK6K6= $ 
q &   > 
 > S=<73Y>? $   &  G=(n=)1 $ (  & 1SJHBH3Y>Qf=)K6=' L $  & W=)?HB
 >):7d'E8AJH5 $ )o &  1S5&>)O  =hL op)pq <7E8;:78 =:78]kl>):78C<7EH=)? o)op k&36K K63Y>?B>`
" ?'KY>=)BH5l>)Oa=(n=)1



=)?HB q  k&36K K63Y>? >)O C>):Td'E8AJH5
  @ 8;8;: <9> dn8;8;:457L59<98AkD5cI*>?<736?J8G<9>^<7E:T3Y[)836? O =)I*</<7E8;L =:78V?>
KY>?b)8;: :78A57<9:T36I*<98AB<9> 57EH=:T36?Hb]kVJH5736I /'KY8A5 [W36B8;>559>)O_<7" =:T8 j=)?HB>)<7E8;:&B>WI;JHkl8A?<75 m'JH<VEH=h[)8
kl>,[)8ABCmn8;L)>?HB <7E8G:78A=)K6k&5>)O1/'KY8a5TEH=:T36?b <9>&d':7> 
 8AI*<75c57JHI"EC=)5SU  - %4E>kl8 $  p  &9"cEH36ITENdn>>K65
59d'=:T8ldH:7>WI*8A575736?bNdn> " 8;:G>)Od'=:T<736I;3Yd'=)?<754:T=<7E8;:a<7E'=)? <7E8A3Y:GkVJH573 I /'KY8lI*>K6KY8AI*<73Y>?'5 *-#>BH=hL 4" 8
598;8l<7E8lJH578V>)Oj<7E8A598l59LW59<98Ak&5fO >):f= kRJ'KY<73Y<7JHB8R>)Oj?8 " =d'd'K636I;=<73Y>?'5c57J'ITE =)5fBH=<7= 59<9>):"=b)8 $ ( - 
)(   p)p  -* & Hb):7>Jd]I*>k&kRJ'?H36I;=<73Y>? $  -   p  & " 8;mCd'Jm/K63657EH3 ?bG=)?HBCI;=)I"EH36?%b $ *    
 #* & '=)?HB
kl8A575T=b36?b $ * 
,& 
- E'365f<7E8A573 5f(8 'd/KY>):78A5a<7EH8D<98AITE'?H36I;=)K =)57d8AI*<75R>)Odn8;8;:  <9>  dn8;8;:V59LW59<98Ak&5R=)?HB 3 ?<9:7>WBHJHI*8A5G?8 "
BH=<7=f59<9:"JHI*<7J:78A5 <9>a36kld/KY8Akl8A?< 57J'ITEl59LW59<98Ak&5P8 $DI;368A?<7KYL  + EH36KY8 <7E8JH598>)Odn8;8;:  <9>  dn8;8;:59L57<98Ak&5
:T=)36578A5 = d'KY8;<7E>):"= >)OP57>I;36=)K WK68;b=)K '=)?HB kl>):"=)K+365757JH8A5 !"j8a:T8A59<9:T36I*<>J:`O_>WI;JH5 36?N<7E'365BH3657578;:7<7=<73Y>?
<9>&<7E8G<98AITEH?H3 I;=)K dH:7>)m'K68Ak&5<7EH=<`=:T3 598f36? <7E8A3Y: BH8A573Yb? =)?HBCBH8;d'KY>hLWkl8A?< 
 

"!
#%$

- E8l?H=<7JH:T=)K/H:T59<&)J8A59<736>? <9>C=)5 365;g "`EH=<f8('=)I*<7KYL =:78ldn8;8;: <9> dn8;8;:G59LW59<98Ak&5 & @ 8;8;:  <9> d8;8;:
59LW59<98Ak&5j=:78`K6=:7b)8 M5TI;=)KY8 B'3659<9:T3Ym/J<98AB ?8;<," >): W5>)O I*>kld'J<98;:"5 "`3Y<7ED?>aI*8A?<9:"=)K/=)J<7EH>):T3Y<ML('   =)I"E
I*>kld'JH<98;:j>): k&=)ITEH3 ?8c36?D=adn8;8;: <9> dn8;8;: 57L59<98Ak =)K657> ?H>`" ?^=)5j= : 
 
 I;=)?^mn8`E8;<98;:7>)b)8A?8;>J'5
"`3Y<7E dn>575736m'KYL [=:7L3 ?b I*>kld'J<7=<73Y>?'=)KPd>j" 8;: =)?HB 365f57JHm 
 8AI*<4<9>CI*:T=)5TE O =)3 K6J:78A5  @ 8;8;:  <9> d8;8;:

59LW59<98Ak&5 I;=)?Vm8 JH598ABRO_>): [=:T3Y>JH5 BH3 %n8;:78A?<d'J:Td>578A5+57JHI"ER=)5;g BH3659<9:"3Ym'J<98ABaI*>?<98A?<PkD=)?H=b)8Akl8A?<
BH3657<9:T3Ym'J<736>? >)OcI*>kld'JH<736?b]I*LWI;KY8A5 =)?HBdn8;>)d'KY8  <9> dn8;>)d'KY8 I*>K6K6=mn>):T=<73Y>?  F>):l<7EH8^:78A57<V>)O`<7EH365
BH365T598;:7<7=<73Y>?  "j84I*>?HI*8A?<9:T=<98c>?^<7E8S365757J8A5 36?[)>K6[)8ABD36?^I*>?<98A?< B'3659<9:T3Ym/J<73Y>?)=)KY<7E>JHbE&<7E8SJH598
>)OPdn8;8;:  <9>  dn8;8;:`59LW59<98Ak&5`3 5mLN?>&kl8A=)?H5`:78A59<9:T3 I*<98AB <9>&<7EH365=:T8A=l>)OPO_>WI;JH5 
% ? = < Ld/36I;=)KfI*>?<98A?< MBH3657<9:T3Ym'J<736>? dn8;8;:  <9>  dn8;8;:C59LW59<98Ak S8A=)ITE dn8;8;: k&=hL EH=h[)8%59>kl8 
 
  
 <9>D5TEH=:78)g<7E8A578f:78A59>J:TI*8A5cI;=)?Cmn8 /'KY8A5 WBH>I;JHk&8A?<75 "j8;mCd/=b)8A5 H<98Akldn>):T=:7LN=)I;I*8A575c<9>
KY>WI;=)K+=dHd'K 36I;=<73Y>?H5 I*>?H?H8AI*<73Y>?H5 <9>Dd'ELW5736I;=)KB8;[3 I*8A58;<7I  j=)ITE :78A59>J:TI*8R365 JH?H3 )J8AK6LD36B8A?<7>3 /H8AB
mL = 8 
 nO >):c(8 '=)kld'K68 3Y<4I*>JHK6B mn8R= Z !  O_>):4*= " 8;m d'=b)8V>):S<7EH8 /'K68A?H=)kl8aO >):f=^B>WI;JHkl8A?< 
- E8GdH:T36k&=:TL^b)>=)K 365 <9> 57EH=:78R<7E8R=h[ =)3 K6=m'KY8a:T8A59>J:TI*8A5 *)  + 2  =)k&>?b =)K K <7E8Gdn8;8;:T5  Qf3Y[)8A?
<7E8 )8;L >)O=N:78A59>J:"I*8 >):G= 598;<G>)O )8;L "j>):"BH5a<7EH=<RB8A57I*:T3Ymn8 = b):7>Jd >)O=)I;I*8;dH<7=m'K68D:78A59>JH:TI*8A5 
+-,/.1032 4656.87:9*0320;4<9*0;46=-9?> @A7B>8CEDF56>G2 7H4<DB@I>
J;KL2
0;46>MDH=-2 D:N.O@P>MQRDS7H20TVUGUMWYX[ZGZ
\G\G\A]_^a`
\GbacG`Gd ^A]*eM`-f]
gihj .1J;.=82 D"N.L9k>MK.=-.-DV0kJ32 52 lM.1DF=1mn0 j 2
0o469k9kQF.-9pKL2 = j 46DF.L4<7R.-DV0;4rqS.iJ;9-sY@P> Jo.1tR2 KuF56.Lv*wx2M7F7aJ;.-9k9k.-9-sNFQB0y0 j .
> J;lM2 DR4<z-2
0;46>MD{> @0 j .Ou.-.iJk|}0;>
|}u.-.1J~9*mB9*0;.-K4r0;9k.-5r@A469/7B.-=-.-DV0kJ32 5646z-.87€

o

" 8 " >JHK6B K63 )8]<9>B8A5T3Yb? = dn8;8;: <9> dn8;8;: 59L57<98Ak <7E'=<"c36K6K KY>WI;=<98 7: 8A59>J:TI*8A5N36? <7E8 59LW59<98Ak 
=)?HB 8A?'=m'KY8 57EH=:T3 ?b `" 3Y<7E k&36?'36kRJ'k I*>kDkRJH?'36I;=<73Y>? 59<9>):T=b)8  =)?HB &k =)3 ?<98A?H=)?'I*8  %? = <9:T= 

BH3Y<736>?H=)K I;K63Y8A?<M598;:7[)8;:Vkl>BH8AK +<7E8&:T8A59dn>?H573Ym'3 K63Y<ML <9> k&=)36?<7=)36? 57JHI"E =C57L59<98Ak O =)K K654>? =C5Tk&=)K6K
I;K6JH57<98;:R>)O`578;:7[)8;:lk&=)ITEH3 ?8A5  1c5V>)dHdn>598AB <9>]<7E'=<dn8;8;: <9> dn8;8;: 57L59<98AkD5VB'3659<9:T3Ym/J<98l<7E8NKY>=)B
>)Ok&=)36?<98A?H=)?HI*8D=)kl>?Hb =)K6KP<7E8ld'=:T<736I;3Yd'=<736?Hb dn8;8;:T5 +<7EJ'5fdH:7>,[36B'36?bN36?HE8;:78A?<f57I;=)K6=m'3 K63Y<ML =)?HB
KY>=)Bm'=)K6=)?'I;36?b %1<l<7E8 57=)kl8N<736k&8 ?8 " ITEH=)K KY8A?b)8A5 EH=A[)8 <9> mn8Nkl8;< <9> m'JH36K B 8 $DI;3Y8A?<&=)?HB
:7>)m'J'59<&BH3659<9:"3Ym'J<98ABBH=<7= 59<9:TJHI*<7J:T8A5l<9> 36k&d'KY8Akl8A?<l57JHITE 59LW59<98Ak&5DJ'5736?b%36?'BH3Y[W36BHJH=)K Pdn>575736m'KYL
O =)JHKY<MLNI*>kldn>?8A?<75 
   6  
6 

 0 
  
        
 " =)54= <98;:Tk /H:T57<cI*>36?8AB mL  36,< "`36? + 2 4 $  ( &
36?]<7E8lI*>?<9(8 'W<f>)OjB'3659<9:T3Ym/J<98ABCBH=<7=m'=)578 57L59<98AkD5  + 8&598;8  <9> B8A5T3Yb?]5T36k&36K6=:SK6=:7b)8 M57I;=)K68 +BH365 
<9:T3Ym/J<98AB BH=<7=&59<9:"JHI*<7J:78A5<7E'=< 8A=)5736KYLN57Jd'd>):T< KY>WI;=<73Y>?C=)?'BCk&=)36?<98A?H=)?HI*8a>)O 57E'=:78AB :78A59>JH:TI*8A5 
=)?HBCE'=A[)8a<7E8GO_>K6K6> "`36?Hb BH8A573Y:T=m'K68cdH:T>)d8;:T<73Y8A5;g

 
   6    -`E8^BH=<7= 59<9:"JHI*<7J:78N57E>JHK B mn8 BH3 59<9:T3Ym'JH<98AB%=)kl>?b =)K6Kj<7E8^d/=:7<736I;3Yd'=)?<75
>)O<7EH8^59LW59<98Ak  1 I*8A?<9:T=)K 598;:7[)8;:P >):V8;[)8A? =]I;K6JH59<98;:V>)O 57JHI"E 598;:T[)8;:T5 k&=AL d':7>h[)8 <9>]mn8
3 ?<9>KY8;:"=)?<^<9> O =)JHKY<75 =)?'B "`3 K6K:78)JH3Y:78 I*>?'5736B8;:T=m/KY8 36?[)8A59<7kl8A?<^O >):NEH3YbE  dn8;:7O >):Tk&=)?HI*8



E'=:TB"=:78a=)?HBCEH36bENm'=)?HB"`3 B<7E
   6  
 6    - E8 % ?<98;:T?H8;<JH598;:+I*>k&kVJH?H36<MLfEH=)5 b):7>"`?f<9> mn859>cK6=:7b)8 <7EH=<B'3659<9:T3Ym/J<98AB459L57<98Ak&5
?H8;8AB <9>CI*>)d8 "c3Y<7E k&36K6K636>?H5>)OJH598;:T5  %? =)? 36BH8A=)K#dn8;8;: <9> dn8;8;:G57L59<98Ak  <7E8&I*>59<fmn>):T?8
mLN8A=)ITE d'=:7<736I;3Yd/=)?< 57EH>JHK6BN?>)<`B8;dn8A?HB <9>>DkVJHITE >? <7E8G573 ;8f>)O#<7E8G8A?<73Y:T8a59L57<98Ak 
  
  6  4 <  + =8 " >JHK6B K63 )8 <7EH8 I*>59< >)OkD=)36?<7=)3 ?H36?bS<7E859LW59<98Ak <9>fmn8JH?H3YO >):Tk&KYLa5TEH=:78AB
mn8;7< "j8;8A?]=)K6K <7E8fdn8;8;:T5 jU36k&36K6=:"KYL <7EH8a59L57<98Ak 57E>J'K6B m8a=m/KY8f<9>Dk&=)?H=b)8  2   
3  8  HEH3YbENBH=<7= :78 )J8A59<[)>K6J'kl8fBHJ8S<9>  
 :   6 6    6   "`EH8A? = d/=:7<736I;JHK6=::78A57>J:TI*8
mn8AI*>kl8A5 (8 '<9:78Ak&8AKYLDdn>)d'JHK =:jO >): =l57E>):7<dn8;:T3Y>WB^>)O#<736k&8 F>): (8 '=)kld'KY8 W<7E8fdn>)d'JHK =: " 8;m
5T3Y<98\   @

  $B/57= ":T8AI*>):TBV<9:T0= $DI EH3Y<9<73 ?bc?H3 ?8jk&3 K6K63Y>?4d'=b)8[W3Y8 "`5 =)?
EH>J:BHJ:T3 ?bc<7EH8<98;:7:7>):T3657<P=<9<7=)I 5j>?^U8;d'<98AkGmn8;: * op)p  36? `8 " X >):  Z4U1 I*>kld/=:78AB
<9>^=)?C>):TBH3 ?H=:7L&[)>K6J'kl8f>)OP8AKY8;[)8A? k&3 K6K63Y>?^d'=b)8a[W3Y8 "`5=&B'=AL $ *q - & 
  ;   
4 4
  - E8]kD=)57573Y[)8]d'=:T=)K6KY8AK 3657k 36? d8;8;:  <9>  d8;8;:N59LW59<98Ak&5  B'J8 <9>EH3YbE
:"=<98^>)O`kD=)ITEH36?H8^=:7:T36[ =)K65R=)?HBB8;d'=:7<7J:T8A5 #d':78A598A?<75R59>k&8^[)8;:7L ITEH=)K6K68A?b36?b 3 5757J8A5G<7EH=<




 





q

=:T8D<9:T3Y[W36=)K6K6L 59>KY[)8AB 36?%= 57L59<98Ak "`3Y<7E /'8AB kl8AkGmn8;:T5TEH3Yd *-`E8&59LW59<98Ak 5TE>JHK6B mn8&598AKYO 
I*>? /HbJ:T36?Hb =)?HB k&=)ITEH3 ?8A5 =)?HB :78A59>JH:TI*8A557E>J'K6BGmn8=)BHB8AB =)?HBlBH8AKY8;<98AB O_:T>k0<7E8 59LW59<98Ak
)JH36I K6*L "`3Y<7EH>J< k&=)?JH=)K 36?<98;:7[)8A?<736>?C>): >,[)8;:T573YbE< 
4  6   6 
  
  - EH8SBH=<7= 59<9:"JHI*<7J:78457E>JHK B&mn8c:T8A5736K63Y8A?<<9> mn>)<7ENk&=)ITEH3 ?8S=)?'B K 36?  O =)3 K6J:78A5
3 ? <7E8 59LW59<98Ak  [)8A? 3YOa= d'=:7<D>)OG<7E8 57L59<98Ak EH=)5^O =)36KY8AB <7E8 BH=<7==A[=)36K6=m'K68]36? <7E8
5TJ:7[W3Y[3 ?b k&=)I"EH36?8A5N57E>J'K6B 59<73 K6K mn8 =)I;I*8A57573Ym'K68 `=)5NKY>?b=)5 3Y<^365NKY>WI;=<98AB 36? <7E8 57=)kl8
I*>?'?8AI*<98AB I*>kldn>?8A?<a=)5a<7EH8l:78 )JH8A59<736?bNdn8;8;: lFHJ:7<7EH8;: +<7E8D57L59<98Ak 57E>JHK6B b):T=)I*8;O JHK6K6L
BH8;b):T=)B&8 "`36<7E 36?HI*:78A=)573 ?b O =)36K J:78A5 

 6    
 6    c>)<&>?HK6L 57E>J'K6B<7E8C59LW59<98Ak 57JH:7[36[)8NB'3659:TJd'<73Y>?H5GB'J8 <9>%O =)36K6J:78A5 m'J<
36< 5TE>JHK6B=)K659>%E8A=)K=)JH<9>k&=<736I;=)K6KYL <9> :78A59<9>):78C3 B8A=)K d8;:TO_>):TkD=)?HI*8  - EH8 59LW59<98Ak 5TE>JHK6B
E'=A[)84=G:78;d/=)3Y: kl8AI"EH=)?H3657k<7EH=< B8;<98AI*<75KY>I;=)K/36?HI*>?H5T3659<98A?HI;3Y8A5j57JHI"ED=)5 k&=)ITEH3 ?8`O =)36K6J:T8A5 >):
K 36? l>J<7=b)8A5 =)?HB <9:T3Yb)b)8;:T5kD=)36?<98A?'=)?HI*8f>)dn8;:T=<73Y>?H5 "`36<7E kD36?H36k&=)K'>h[)8;:TEH8A=)B 36? <98;:Tk&5>)O
?H8;,< " >): N<9:T0= $DI 

  
  
  21 4<  - E8 dH:T3 k&=:7L b)>=)KG>)OV= dn8;8;:  <9>  dn8;8;: 57L59<98Ak 365N<9> KY>WI;=<98%:78A59>JH:TI*8A5
8 $^I;3Y8A?<7K6L n=)?'B EH8A?HI*8V5TJdHdn>):7< O >):f598A=:TITE'36?bNJH5736?b^=^[=:T3Y8;< LC>)O 59dn8AI;>3 //I;=<73Y>?H5S365c= [)8;:7L
BH8A573Y:T=m'K68Vd':7>)dn8;:7<ML  \ >kld'KY(8 ' )J8;:T3Y8A54<9> KY>I;=<98D:78A59>J:TI*8A5R57JHI"E =)5a:"=)?b)*8 )J8;:T3Y8A5 #?8A=:
kD=<7ITE8A5 <9>a= )8;L =)?HB )8;L "j>):"Blk&=<7ITE8A5j57E>JHK BGmn857JdHdn>):7<98ABVmLR=4:T3 ITE )JH8;:7LRK6=)?HbJH=b)8 

   0    - E8 59LW59<98Ak057E>JHK6BGmn8j598AI;J:T8 =b=)36?'59< =<9<7=)I 5 57JHITEV=)5P= 
 ; 6    
 4;
 =<9<7=)I  
"cE8;:78f59>kl8ak&3 57I*:78A=)?< d/=:7<736I;3Yd'=)?<75k&=h
L  H>>WB V<7E8f59L57<98Ak <7E8;:78;mL^d':78;[)8A?<73 ?blKY8;b3Y< 
3 k&=<98c<9:"0= $DI  %?^59>kl84=dHd'K63 I;=<73Y>?H5 36<jk&=hL&=)K659>Vm8cB8A573Y:T=m/KY8<9>VkD=)36?<7=)3 ?D=)?>?LkD3Y<ML&>)O
<7EH8VJH578;:T5 >):cdH:T>h[W36B8G:T8A573659<7=)?HI*8R<9> I*8A?H59>):T57E'3Yd mL dH:78;[)8A?<736?b I*8;:7<7=)36? BH=<7= 3Y<98Ak&5c<9> mn8
BH8AKY8;<98AB O :7>k <7E8G57L59<98Ak 
:  6 < ;  6;6  
  
        !`>J<736?b 57E>J'K6B mn8l598A?H5T3Y<73Y[)8 <9>C?8;,< " >):  KY>WI;=)K63Y< L
5TJHITE =)5 BH3657<7=)?HI*8%<9:T=h[)8AKY8AB >): K6=<98A?HI*L =)KY>?b <9:T=)?H57k&3 57573Y>? d'=<7E'5  - " > dn>575736m'KY8 =d 
d':7>=)ITE8A5G=:78)g @ 3 B   4       4< "`E8;:78lk&=)I"EH36?8A5f=:78ld/K6=)I*8AB 36? <7E8&?8;,< " >):  <9>
(8 'Wd'KY>36<<7E8GJH?HBH8;:TKYLW36?bV<9>)d>K6>)b)L /=)?H*
B @ 363 B   4;   
!;< 2 
  
 6 
    "`E8;:T8a<7E8
I;K6>598A59< ?8A3YbEmn>):T5 @ =)5dn8;:<7E8fdH:7> 'W36kD3Y<MLDk&8;<9:T36I B =:78aI"E>598A? =)kl>?bl<7EH8a598;<>)Odn>)<98A?<736=)K
?H8A3YbEmn>):T5 






% ?l<7EH365 B'3657598;:7<7=<736>? "j8c=:78dH:T36kD=:T36KYLa36?<98;:78A59<98ABD36?lB8;[)8AKY>)d'3 ?bf=dHdH:7>=)I"E8A5<9>GBH8A573Yb? dn8;8;:

<9> dn8;8;:c59LW59<98Ak&5 <7EH=< O >I;JH5 >? <7E8aO 8A=<7J:78A5cK63659<98ABN=mn>h[)8 



%n!




Y y$

e 8;O_>):T8 " 8fKY>> D=<I*>?<98Akldn>):T=:TLDdn8;8;:  <9> dn8;8;: 59LW59<98Ak&5!" 84B'3657I;JH575 <7E8f?8;8AB O_>):= ?8 " kl>WB8AK
<9>]3 kld'KY8Akl8A?<4dn8;8;: <9> dn8;8;:R59LW59<98Ak&5 - E8 " 8;m EH=)5a<9:T=)BH3Y<73Y>?'=)K6KYL mn8;8A?%J'598AB O >):GI*>?<98A?< BH365
<9:T3Ym/J<73Y>?  + =)5l3Y<RO_8A=)5736m'KY8&<9> JH598^<7E*8 " 8;m<9> 36k&d'KY8Akl8A?<adn8;8;: <9> dn8;8;:V57L59<98AkD5 & - E8;:78 =:78
<," > 36kldn>):7<7=)?<`:78A=)57>?H5`<7E'=<Sk&= )8 <7E8 " 8;m JH?'57JH3Y<7=m'K68fO_>):4>J:Sd'J:7dn>598A5  F 36:T59<7KYL <7E8 " 8;m 365
m'=)598ABV>?l=S<9:T=)BH36<73Y>?H=)KI;K63Y8A?< M598;:7[)8;:kl>WB8AK "`E8;:78 <7E8;:78=:78:78AK6=<736[)8AKYLaO 8 " kl>):78dn> " 8;:7O JHK )=)?HB
:78AK63 =m'KY8598;:7[)8;: k&=)I"EH36?8A5P<7E'=< =:78:78A59dn>?H5T3Ym'KY8jO_>): 578;:7[3 ?b4<7E8 I*>?<98A?< 1 d8;8;:  <9>  d8;8;: 59LW59<98Ak 
>?C<7EH8G>)<7E8;:4EH=)?HB /365 =&[)8;:TLCBL?'=)k&36If59LW59<98Ak "`3Y<7E dn8;8;:T5cI*>?<736?J>JH5TKYL^8A?<98;:T36?HbD=)?HB K68A=A[W36?b
<7E8 59LW59<98Ak  -#:T=)BH36<73Y>?H=)K 57>K6J<73Y>?H5R<9>%KY>WI;=<98N:78A59>J:TI*8A5 <7E'=< I;=)?mn8NJH598AB36?= 59L57<98Ak "`3Y<7E
/'W8ABDkl8AkRmn8;:T57EH36d K 3 )8 <7E8 "j8;m =:78c?H>)<[3 =m'KY8O >):j57JHI"EDBLW?H=)k&3 I 59LW59<98Ak&5  U8AI*>?HB'KYL :78A57>J:TI*8
KY>WI;=<73Y>? >?D<7EH8 " 8;m 365 B>?8cJ'5736?b )
     ++?  <7EH=<=:784>):7b=)?H3 ;8ABNEH368;:T=:TITE'36I;=)K6KYL 36?
=4<9:78;8  j=)ITE&?>WB8>)O<7E8<9:78;8 59<9>):T8A5 59>kl8 " 8AK6K MBH8 /'?8AB 57Jm'578;< >)O<7E8 % @ )8;LW59d'=)I*8`=)?'Bl598;:7[W36I*8A5
:78 )J8A59<75`O_>):`36<  - EH3 5<9:78;8R=dHd':7>=)ITE]365 ?>)< [)8;:TL O =)JHKY<  <9>K68;:T=)?V< /<7E8;:78G3 5O =:c<9>> kRJ'ITE K6>=)B >?
<7E8l?>WB8A5fI;KY>598;:f<9> <7EH8V:T>>)< =)?'B]8;[)8A? = 5T36?bKY8VO =)3 K6J:78 I;=)? d'=:7<73Y<736>?]<7EH8V8A?<73Y:78lBH=<7= 57<9:TJHI 
<7J:78  !`8;d'K636I;=<73 ?bG?>WB8A5 k&=ALD=)K KY8;[3 =<98c<7E8cdH:7>)m'K68Ak m'JH<mn8;<9<98;:57>K6J<73Y>?H5jEH=A[)84mn8;8A?^dH:7>)dn>598AB
<7EH=<:78;<7=)36? <7E8Smn8A?8 /H<75j>)O<9:78;8A5 #- E8SK6=:7b)8 M57I;=)KY8 HB'3659<9:T3Ym/J<98AB&?H=<7J:T8c>)O#<7E8 % ?<98;:T?8;<=)?HB <7E8
b):7> "`36?b 573 ;8V>)O <7E8VI*>?'57JHkl8;:Sm'=)598VEH=A[)8lI*:78A=<98AB <7E8 ?8;8AB]O_>):4=^?H8 "kl>WB8AKO_>):4dn8;8;:  <9>  dn8;8;:
59LW59<98Ak&5  c>" 8;[)8;: "j8V?>)<98G<7E'=<cmL ?>Dkl8A=)?H5S=:78 "j8VI;K6=)36k&36?Hbl<7EH=<`<7E8Gd8;8;:  <9>  d8;8;:4kl>WB8AK
"`36K K':78;d/K6=)I*8f<7E8aI;K63Y8A?< M598;:7[)8;:ckl>BH8AK 36? <7E8G?8A=:O J<7J:78 mn>)<7E kl>WB8AK65 "`3 K6KnI*>  (8 'W3657< B8;dn8A?HBH36?b
>? <7E8R=dHd'K636I;=<736>?H5 <7EH=< <7E8;L =:78amn8A36?Hb J'598ABNO_>): 
+ 8f?> " (8 'Wd'KY>):T8S59>k&8c>)O+<7EH8SB8A5T3Yb?H5j<7EH=<EH=A[)84mn8;8A?Dd':7>)dn>598ABDO >):36kld'KY8Ak&8A?<736?Hbadn8;8;:  <9> 
dn8;8;:`59LW59<98Ak&5 


S=d'59<98;:

!#"%$'&)(*&+-,.-0/1(2!34!5&67

$ * & "=)5

7< E8 H/ :T59<Vd'Jm'K 36I;KYL MB8;d'KY>,L)8AB%dn8;8;: <9> dn8;8;:&59LW59<98Ak  %<lJH598AB= I*8A?<9:T=)K578;[)8;:
<9> k&=)3 ?<7=)36? )= ? 36?HB8(' )> O @ 2   ))   B&d'=)3Y:"5 =)?HB )8;d'<&<9:T=)I >)OS<7E8CKY>WI;=<73Y>?H5l>)O
8
9



=)K6K <7E8^kVJH5736I/'KY8A5G3 ? <7E8^57L59<98Ak  + EH8A? = J'598;: "=)?<98AB =]d'=:7<736I;J'K6=:GkVJH5736I //KY8  5TE8" >JHK6B
)J8;:7L <7EH365 598;:T[)8;:'=)?HBCJHd>?C:78AI*8A3Y[W36?bl<7E8 % @ =)B'B:78A575 @ 8A5 B >)OP<7E8Gk&=)I"EH36?86@ 5?B<7EH=<`E>59<98AB <7E8
:78 )J8A59<98AB :78A57>J:TI*8 +57E8 " >JHK6B B> "c?HKY>=)B <7E8 /'KY8VO_:T>k <7E'=<aKY>I;=<736>?&- EH365 /'KY8V<9:T=)?H57O_8;: "=)5
B8AI*8A?<9:T=)K63 ;8AB =)?'B 36?HB8;dn8A?HB8A?< >)O#<7E8aI*8A?<9:T=)K+36?HBH8('^598;:7[)8;:  f?84d>)<98A?<736=)K =:7bJ'kl8A?< =b=)3 ?H59<
<7EH365P573 kld'KY8=dHdH:7>=)I"E&365 <7E8 K6=)I R>)On57I;=)K6=m/36K63Y< L )m'J<P<7E8(8 '3659<98A?HI*8>)OK6=:7b)8 M57I;=)KY8c598;:7[)8;: I;K6J'59<98;:T5
57JHI"El=)5 <7E>598 J'598AB mLRdn>)d'JHK6=: " 8;m&573Y<98A5jQS>>)bKY8 $ 
 ( &'=)?'B X =)E>> $  o,p & dH:7>,[)8 >)<7E8;: "c36598  `>" 
8;[)8;: H<7EH8a598;< MJdC>)OP57JHI"EC59LW59<98Ak&5 k&=hLN:78 )J'3Y:784I*>?H5736B8;:"=m'KY8f36?[)8A59<7kl8A?< O_>):cEH3YbE  dn8;:7O >):Tk&=)?HI*8
k&=)I"EH36?8A5 EH3YbE m/=)?HB "`36BH<7EN8;<7I ="`EH36I"ECk&= )8A5S3Y<cJ'?H57JH3Y<7=m/KY84O_>):S36kld'KY8Ak&8A?<736?Hb&=&dn8;8;:  <9>  dn8;8;:
59LW59<98Ak 1SBHBH3Y<736>?H=)K6KYL )<7E8S=dHdH:7>=)I"E^3 5 ?>)<jO =)JHK6<<9>KY8;:T=)?V< <7E8cI*8A?<9:T=)K598;:7[)8;: dH:7>,[36BH8A5 =G5T36?bKY8
[WJHK6?8;:T=m/KY8Ddn>36?<G>)OcO =)36K J:78  - EH365RO =)I*<&KY8AB<9> <7EH8NJ'KY<736k&=<98NB8Ak&36578^>)O c=d'57<98;:&=)5 <7E8 KY8;b=)K
=)J<7E>):"3Y<73Y8A5 <9:T=)I )8AB =)?HBl8;[)8A?<7JH=)K6KYL&5TEJ<BH> "`? <7E8c5T36?bKY88A?<73Y<MLl<7EH=< " =)5j:78A59dn>?H5T3Ym'KY8 O_>):j<7E8
k&=)?H=b)8Ak&8A?<c>)O S=d'59<98;: 
- EH8lO =)K6KP>)O S=d'59<98;:R5T= " <7EH8l8Akl8;:7b)8A?HI*8^>)O 598;[)8;:"=)K>)<7E8;:V59L57<98Ak&5a57JHI"E%=)5VQf?J<98AK K6= $ 
q & 
F:78;8A?H8;< $ o  & 
C>):Td'E8AJH5 $ )o & +=)?HB a= (n=)1 $ (  & aZc?'K63 )8 S=d'59<98;: #Q4?JH<98AK6K6=DBH8AI*8A?<9:T=)K 3 ;8A54<7E8
36?H36<736=)K :78A59>JH:TI*8 B'3657I*>h[)8;:TL 36? =)B'BH3Y<73Y>? <9> <7EH*8 /'KY8^<9:T=)?H59O 8;: PmL JH5736?Hb  4< <9> KY>WI;=<98N:78 
59>J:"I*8A5 $ 
 
*& `Q4?J<98AK6K6=&m'JH36K6B'5 =^?8;,< " >): C36? "`EH36I"E 8A=)ITE k&=)ITE'36?8G365cI*>?H?8AI*<98AB]<9>^=DO_8 " >)<7E8;:
k&=)I"EH36?8A5 36?<7E8 ?8;7< "j>): "`EH3 ITE=:78 I;=)K6KY8AB3Y<75  + 0 $(
   3  8  8A=)I"E k&=)ITE'36?8 ?H> "`5V<7E8 % @
=)BHB:T8A57598A5 >)O 3Y<75`?8A3YbEm>):"5 =)?HB I;=)?]I*>k&kVJH?H36I;=<98 "`3Y<7E <7E8Ak  10k&=)I"EH36?8a:T8 )J8A57<75`3Y<75c?8A3YbE 
mn>):T5aO >): =]B8A5T3Y:78AB :78A57>J:TI*8 <7E8A578 ?8A36bEmn>):T5a3 ?%<7J:T? =)5 %<7E8A36:R?8A3YbEmn>):T5 P=)?HB 57>]>?  JH?<736K
<7E8a:T8A59>J:TI*8a365 O_>JH?'B  `>^B>JmH< <7E8Rkl>)<73Y[=<73Y>? O >): <7EH365B8A5T3Yb? "=)5 <9>Dk&= )8V?>&5736?HbKY84d'=: 
<736I;3Yd/=)?<436?HBH3 59dn8A?H57=m'KY8 /=)?HB <7EJH54k&= )8&36<43 kldn>57573Ym'K68fO_>):f=)?L =)J<7EH>):T3Y<ML <9>CI*>?<9:7>KP>):aI*8A?'59>):
<7E8 ?H8;,< " >):   F:T>k = <98AITEH?H3 I;=)K`59<7=)?HBHd>3 ?<&E> "j8;[)8;: <7EH365&365D?>)<^= 57I;=)K6=m'KY8C57>K6J<73Y>? =)5^3Y<
I*:78A=<98A5&=)?8A?H>):Tkl>JH5 [)>K6J'kl8^>)Oc<9:T0= $DI 36?<7E8 ?8;7< "j>):  O >): 8A=)ITE :78 )J8A59< $ -, &  %?=)BHB'3Y<73Y>? 
H>>B'36?blI*:78A=<98A5S=&<9:T=)B8  > %%mn8;7< "j8;8A?]>h[)8;:TK6>=)BH36?b&8;[)8;:TLNkD=)ITEH36?H8G36? <7E8R?8;,< " >): C=)?HBCI;JH<9<736?b
> % 578A=:TITE8A5mn8;O >):784I*>kld'KY8;<73Y>? 1%O+<7E8S<736kl8  <9> MK 3Y[)84>? = kl8A5T57=b)84(8 'd'36:78A5 W=G:78A57>J:TI*8fk&=AL ?>)<
mn8GO >JH?HB 8;[)8A? 3YO 3Y<c365c>?HKYL >?H8VE>)d = "=AL]O_:T>k <7EH8Gdn>36?<`>)O I;J<  > % aU>^8;[)8A? 3YO <7EH8R:78A57>J:TI*8
365S=)I*<7JH=)K6KYL d':78A598A?<S36? <7E8 ?8;,< " >):  +3Y<ck&=hL]?>)<Smn8R=)I;I*8A575T3Ym'KY8V3YO3Y<c3 5 
 JH59< 
 #( 
* $ >)O<7E8
:78 )J8A59<736?Hbld8;8;: 
ULW59<98Ak&5#57JHI"ER=)5 C>):7d/E8AJH5=)?'B a= (n=)1 =)K KY8;[3 =<98<7E8 d':7>)m'KY8Ak >)O '>>WBH36?b<9:T0= $^Ij59>k&8 "`EH=<







.7R469k=-QR9k9BJ;.-.-DF.i0E4<D%@IQRJk0 j .1J~7R.i032 46546D j 2 uB0;.1J a€

(

63 ? dH:T=)I*<73 I*8 mL JH5T36?b  : 
 : 
 
 
  @ 8;8;:T5 O >):Tk KY>WI;=)KSb):7>Jd'5N=)?HB 8AKY8AI*< =57Jdn8;: dn8;8;: <9>
d'=:7<73 I;3Yd'=<98l>?%<7EH8A3Y:fmn8AEH=)KYOj3 ? <7E8D?8;<7"j>):  ^1SK6K <7EH8l:78A59>J:TI*8D:78)JH8A59<75G=:78^598A?<G>?HKYL <9>]<7E8
57Jdn8;:  dn8;8;:T5 )8A=)ITE&>)O "`E'36ITElk&=)3 ?<7=)36?'5 =)?D36?HBH8('R>)On<7E8:78A59>JH:TI*8A5 E>57<98ABlmLl3Y<75P>"`?&b):T>Jd % On=
:78A59>JH:TI*8 3 5?>)< O_>J'?HBG36?R3Y<75#> "`?Rb):7>Jd )=S57Jdn8;: dn8;8;:9"`3 K6KI*>k&kVJH?H36I;=<98 "`3Y<7EG>)<7E8;: 57Jdn8;: dn8;8;:T5
<9>RK6>I;=<98c<7E8`:78 )J8A59<98ABD:78A59>J:"I*8 1cKY<7EH>JbE&3Y< =)k&8A?HBH5 57>kl8 >)O <7E8 d':7>)m'KY8Ak&5>)O H>>WBH36?Hb )<7EH365
=dHdH:T>=)ITE 3 5a59<736K6KP36?'E8;:78A?<7KYL]JH?'57I;=)K6=m'KY8 ^F K6>>WBH36?b I;=)? m8&=h[)>36B8AB  m'J< "c3Y<7E <7E8D=)BHB'3Y<73Y>?H=)K
I*>59< >)O k&=)3 ?<7=)36?'36?b 59L?'ITE:7>?'3 ;8AB HBH3657<9:T3Ym'J<98AB 36?HBH(8 '8A5=)kl>?Hb&<7E8G57JHd8;:  d8;8;:"5 


 /1( 5&6 /1-,  3

!34!5&67

- E8 /H:T57< b)8A?8;:T=<73Y>? I*>k&k&8;:TI;36=)KP59LW59<98Ak&5fEH=h[)8&59d'="c?8AB = K6>)<c>)O 36?<98;:T8A59<736?b :78A598A=:TI"E 36? <7E8
=)I;=)B8Ak&3 IlI*>k&kRJ'?H3Y<ML <7E8&B8;<7=)36K65S>)O `" EH36I"E =:78&I*>h[)8;:78AB 36? \EH=d'<98;:Go  c8;:78 4" 8 
 JH59<4b3Y[)8&=
mH:T368;O'>h[)8;:T[3Y8 " >)O 59>kl8c>)O<7EH8=j" 8AK K  ?H>`" ?&57L59<98AkD5<9>Gd':78A598A?< =aI*>?<98('< O_>):j>J: I*>?<9:T3Ym'JH<73Y>?H5 
U8;[)8;:"=)K#:T8AI*8A?<f59LW59<98Ak&5SK63 )8l\1  $ -* & \E>):TB $ * o &  @ =)57<9:7L $ -*- & n=)?HB #- =dn8A59<9:TL $  o* & JH598
=   0 
1  
 24 2  
16 
  =)5`<7E8Rm'=)5736IRBH=<7=D57<9:TJHI*<7J:78RO_>):S=&dn8;8;: <9> dn8;8;:f59LW59<98Ak 
- E8 k&=)36?]>)dn8;:T=<73Y>?]>)Oj= 2 - 365c<9>N:78;<9:T3Y8;[)8 <7E8 36B8A?<73Y< LC>)O =N?>WB8G<7EH=<fE>57<75S= d'=:T<736I;JHK6=:
:78A59>JH:TI*8 #59<7=:T<736?bCO :7>k =)?L >)<7E8;:G?>WB8&36? <7EH8&?8;<," >):  ^2 `- 5G=)K6KY>" KY>WI;=<73Y>? >)O:78A59>JH:TI*8A5
JH573 ?b = BH36:78AI*<9>):7L MK63 )8 36?<98;:7O =)I*8 <7E'=< 5TJdHdn>):7<75 59<9>):T36?Hb =)?HBO 8;<7ITE'36?b BH=<7= 36?HBH8(' 8ABmL )8;LW5 
- E8NJH?HBH8;:TKYLW36?b <7E8Akl8N>)OS=)K6K <7EH8A598 59L57<98Ak&5l365R<7EH=< <7E8;L m'J'36K6B =)?>,[)8;:TK6=AL?8;<7j" >):  >?<9>)d
>)O <7EH8Rd'ELW5736I;=)KP?8;<," >):  +=)?HB 8AkGmn8AB <7E8lk&=)I"EH36?8A5436?]<7E8 >h[)8;:TK =AL ?8;<," >):  mL $ % $&10 <7E8A3Y:
36B8A?<73>H/ 8;:"5 !`8A59>J:TI*8 )8;LW5=:78fBH3657<9:T3Ym'J<98AB 8A3Y<7E8;::T=)?'B>k&KYLl>):mL^EH=)5TEH36?b =)kl>?bl<7E8f?>WB8A5

<9> O =)I;36K636<7=<98DJH?H3YO >):Tk KY>=)B BH3659<9:T36m'J<73Y>?l1S5amn>)<7E%k&=)I"EH36?8A5R=)?HB :78A57>J:TI*8A5G=:T8&8AkGmn8ABHBH8AB%36?
7< E8V>h[)8;:TK =AL ?8;<," >): ]J'5736?bDE'=)57EH36?b /<7E8A598l59LW59<98Ak&54=:78 I;=)K6KY8AB BH3657<9:T3Ym'J<98AB EH=)57E]<7=m'KY8A5   =)I"E
?>WB8365P:78A59dn>?H5T3Ym'KY8O >):<7E8:T8A59>J:TI*8A5P<7EH=<jEH=)57E <9>aKY>WI;=<73Y>?H5 ?8A=:j3Y<7598AKYO #1 ?>WB836? <7E8>h[)8;:TK =AL
?8;7< "j>): ^I;=)?^8A36<7E8;: 57<9>):78cdn>36?<98;:T5 <9>V<7EH8c=)BHB:T8A57598A5j>)O+<7E8`:T8A59>J:TI*8A5 <7EH=<3Y<j3 5:78A59dn>?H5T3Ym'KY8O >):
>):&3Y< k&=AL=)I*<7JH=)K6K6L 59<9>):78N<7E8N:78A59>JH:TI*8A5 <7E8Ak&598AK6[)8A5 jB8;dn8A?HB'36?bC>?<7E8 59dn8AI;>3 //ID=dHd'K 36I;=<73Y>? 
2S8;<7=)36K65R>)O`= I*>k&kl>?1 @ % "`EH36I"E 365Gmn8A36?b B8;[)8AK6>)d8AB O >):V57J'ITE59<9:TJHI*<7J:T8AB%>h[)8;:"K6=AL?8;,< " >): W5
I;=)?Cmn8f598;8A?]36? $ ,o  & 
- EH8c?>WB8A5 =:78SK 36? )8AB 36?&<7E8S>h[)8;:"K6=AL ?8;,< " >): ^J'5736?bG=V59dn8AI;>3 /'IcK636?  BH3657<9:T3Ym'J<736>?lB8;dn8A?HBH36?b
>?V<7E8B8A573Yb? ! 8A59>JH:TI*8KY>I;=<736>? )JH5736?b`<7E8j>,[)8;:TK6=hLV?8;7< "j>):  365 B>?836?R<7E8A598 [ =:"3Y>JH5 59L57<98Ak&5
J;.-=-.-DV0G.1J;9k46> DH> @/DaQB0;.-565 2o2 569k>9kQFuRu> Jk0;90 j .OQR9k. > @(9kQRu.1Jk|}u.-.1J;9-€



mLJH5T36?b%BH3 %n8;:78A?<l:7>J<736?Hb =)K6b)>):T3Y<7EHk&5   =)I"E ?>WB8Ck&=)36?<7=)36?H5l57>kl8 36?O >):Tk&=<736>? =m>JH<D3Y<75
?8A3YbEmn>):T5 n=)?HB :7>J<736?Hb 365SB>?8 b):78;8AB'36KYL mL O >):" =:"BH36?b kl8A5757=b)8A54<9> <7E8l?8A36bEmn>): +2 
%+ <9>
<7E8j<7=:7b)8;< ?H>B8 1- EH365 3 ?HE8;:78A?<I*>k&kl>?V59<9:TJ'I*<7J:78 KY8A=)B'5 <9>S5T36k&36K6=:n:78A5TJHKY<75+O >):<7EH8 dn8;:7O >):Tk&=)?HI*8
>)O57JHI"E]?H8;,< " >): a5  "c3Y<7
E ?H>B8A5c36?C<7EH8R?8;7< "j>):   kl>59<c>)O <7E8A598 59L57<98Ak&5cJ'598 @ K6>)b B57d'=)I*8
=< 8A=)I"E]?>WB8 H=)?HBN<7= )8  @ KY>)b B <736kl8fO >): :7>JH<736?blkl8A5757=b)8A5 




{

*

e ;8 O_>):T8 " 8 kl>h[)8 >? <9>^>JH:SI*>?<9:T3Ym'JH<73Y>?H5`3 ? <7E8 ?8('W<c598AI*<736>?"j8VmH:T3Y8 'LNBH8A57I*:T3Ymn8a<7E8 kl>WB8AK
JH598AB&O_>):j<7E8 :78A57J'KY<75 - E8 36?<98;:78A59<98ABD:78A=)B8;:j3 5 :78;O 8;:7:78ABl<9>R<7E8 mn>> W5 mL  LW?HITE%$ * &/=)?HB&1<9<736L=
=)?HB + 8AK ITE $ ( &+O_>): O J:7<7EH8;: B8;<7=)36K65>)O <7E8Gk&>B8AK 

"4 


  + 8^JH598l<7E8l<98;:Tk

 
 <9> :78;dH:78A598A?<a=NdH:7>WI*8A5754<7EH=<R3654:TJH?H?'36?bD>? =Nd'=:
<736I;JHK =:`k&=)ITE'36?8  + 8 =)5757J'kl8a= 
 < 
 :1  < 8A?[36:7>?Hkl8A?<`36? "`E'36ITEC=)K K dH:7>WI*8A57598A5cI*>k
kVJH?H36I;=<98 "`3Y<7EC8A=)I"E >)<7E8;:4mLC598A?'BH36?b&kl8A5T57=b)8A5S>h[)8;:a=DI*>kDkRJH?'36I;=<73Y>? ITEH=)?H?H8AK  "`EH8;:78G8A=)I"E

ITE'=)?H?8AK dH:T>h[W36B8A5 =lm/36BH3Y:78AI*<736>?H=)K/I*>?'?8AI*<73Y>?Cmn8;<7"j8;8A? <," >^59dn8AI;3>/H8ABNd':7>I*8A5T598A5 j1S?C=)KYb)>):"3Y<7EHk
36? =fkl8A575T=b)8  d'=)575736?Hba59L57<98Ak I*>?H573657<75P>)O=fKY>WI;=)KWdH:7>)b):"=)k0O_>):8A=)I"EldH:7>WI*8A5753 ?R<7EH8 59L57<98Ak  - EH365
KY>WI;=)K d':7>)b):T=)k dH:7>h[W36B8A5G<7E8^=m/36K63Y< L O >):V<7E8DdH:T>I*8A575R<9> d8;:TO_>):Tk KY>WI;=)KjI*>kld/J<7=<73Y>?H5 =)?HB <9>
598A?HB kl8A5757=b)8A5V<9> =)?HB%:78AI*8A36[)8 kl8A5T57=b)8A5VO_:7>k 8A=)ITE>)O 3Y<75R?8A3YbEm>):"5  4I;I;J:7:78A?'I*8A5a<7EH=< I;=)?
<7= )8&d'K =)I*8 3 ?]<7EH8 57L59<98Ak =:T8&kl>BH8AKY8AB]=)5 
 
   - E8;:T8V=:78l7< "j> W36?HB'5`>)O 8;[)8A?<75Ag41  
:    8;[)8A?< "`EH36I"E :78;dH:T8A598A?<75`=DI*>kld'JH<7=<73Y>?Cdn8;:7O >):Tkl8AB KY>WI;=)K6KYL^mL 59>k&8adH:7>WI*8A575 '=)?'B =

 6 
  8;[)8A?< <7EH=<:78;dH:T8A598A?<75<7EH84BH8AK63Y[)8;:7Ll>)O =lkl8A5757=b)8fO :7>k >?84dH:7>WI*8A575 <9>&=)?>)<7E8;:  % ? =
59LW59<98Ak :T8;dH:78A598A?<98AB mL^<7EH3 5kl>BH8AK H598;[)8;:T=)K8;[)8A?<75ck&=ALN>WI;I;J:cI*>?HI;JH:7:78A?<7KYL 
; 
   2    1059LW59<98Ak 36557=)36B <9>^mn8f<9>)<7=)K6KYLN=)59L?'ITE:7>?H>JH5`3YO#<7E8;:78G3 5 ?>/W' 8AB
JdHdn8;:mn>JH?HB >? E>" KY>?bl3Y<<7=)8A5`O_>):`=lk&8A5757=b)8a<9>lmn8fB8AK63Y[)8;:T8ABW>):`E>" kRJHI"E <736kl848AK6=d/598A5
mn8;<," 8;8A? I*>?H598AI;JH<73Y[)8C59<98;d'5 >)O4= dH:7>WI*8A575  % ?dH:T=)I*<73 I;=)K59L57<98Ak&5jEH>" 8;[)8;: " 8" >JHK6BK63 )8 <9>

=)5757J'kl8c59>k&8SJd'd8;:jmn>JH?HB&>?^<7E84kl8A5757=b)84<9:T=)?'57k&36575T3Y>?&B8AK6=hLD59>V<7EH=< O =)36K J:78A5 3 ?&<7E8459LW59<98Ak
I;=)?mn8DB8;<98AI*<98AB  + 8 =)5T57JHkl8^<7EH=<R<7EH8 59LW59<98Ak 365 :  ; 6 6   02     3  8   <7EH8;:78^365V=
/'W8ABDJd'd8;: mn>JH?'B @ <736kl8  >J?< B>?&<7E8c<9:T=)?H57kD3657573Y>?lBH8AK6=AL >)O+=akl8A5T57=b)8  + 84=)5757JHkl8`<7EH=< 8A=)I"E
kl8A575T=b)8G<7= )8A5S=<`kl>59<SJH?H3Y<<736kl8f<9>^mn8aB8AK63Y[)8;:78AB H=)?HBC=)?LN3 ?<98;:T?'=)KndH:7>WI*8A575736?b&=<c=&k&=)ITE'36?8



<7=)8A5 ?> <736kl8  + 8 =)K659>%=)5757J'kl8 <7EH=<D=%k&8A5757=b)8 "`E'36ITE EH=)5&m8;8A? 598A?<*"`36K6Kj8;[)8A?<7J'=)K6KYLb)8;<
B8AK636[)8;:78AB

4


 6  @ :7>WI*8A57598A5cI;=)?  2 '3  8  EH=)KY<dH:78AkD=<7J:78AKYL H=)?HB *I :T=)57E8A5c=:78adn8;:Tk&=)?8A?< 
+ 8NI*>?H5736B8;:V= 7 6   : kl>WB8AK "cE8;:78&dH:T>I*8A57578A5REH=h[)8 57>kl8^kl8;<7EH>B _O >):VI*>):7:78AI*<7KYL%B8;<98AI*<73 ?b
6 


"`E8;<7EH8;:V=)?>)<7EH8;:ldH:7>WI*8A575RE'=)5RO =)36KY8AB ]1S5Vk&8A5757=b)8A5l=:78N=)K>"=ALW5 :78AK636=m'K6L BH8AK63Y[)8;:78AB =)?HB<7E8;:78
365a= /' 8AB%<736kl8  >J<a>? 8;[)8;:7L kl8A5757=b)8 P= K =)I  >)O:78A59dn>?H598 O >):R=Ckl8A5T57=b)8^365a>?8"=AL O_>):R<7E8
O =)36KY8AB dH:7>WI*8A57598A5N<9> m8%3 B8A?<73 H/ 8ABc=)K6<7E>JbE 3Y<Ck&=hL mn8%36k&d>5T573Ym'KY8 <9> BH3659<73 ?bJH3657E mn8;<," 8;8A?
I*:T=)57EH8AB dH:T>I*8A57578A5^=)?HB 8(W' <9:78Akl8AKYL 5TKY>" >?8A5  + 8 BH> ?>)<N=)I;I*>JH?< O >): 
    
 O =)3 K6J:78A5
"`E8;:T8c=RdH:7>WI*8A575 :78Ak&=)36?H5j36?^<7E8S57L59<98Ak m'JH<j3Y< mn8AEH=A[)8A5=:7m'36<9:T=:T36KYL =)?HB 598A?HBH5jO =)JHKY<ML Wdn>575736m'KYL
k&=)K63 I;3Y>JH5akl8A5T57=b)8A5V<9>]>)<7E8;:VdH:7>WI*8A57598A5  + 8 B8;O 8;:V<7E8^365T57J8&>)OmL A=)?<736?8^O =)3 K6J:78A5f<9> O J<7J:78
" >): 



 : 6 
 4  
 
   
  + 8 =:T8 k&=)3 ?HKYL 3 ?<98;:78A57<98AB 63 ? <7E:78;8]d8;:TO_>):TkD=)?HI*8 kl8A=)57JH:78A5&O >):
>J: =)KYb)>):T3Y<7E'k&5;g @ 3 B4<7EH8^<9>)<7=)K=)kl>JH?<V>)O<736kl8  @ 363 B4<7E8 75 <9>):T=b)8 59d'=)I*8N=<R8A=)I"EdH:7>WI*8A575 =)?HB
@ 36363 Bj<7E8G<9>)<7=)K ?J'kGmn8;: >)Okl8A5T57=b)8A5SO_>):S=)?LC=)KYb)>):"3Y<7EHk  % ?C=&d'=:T<736=)K6KYLN59LW?HITE:T>?>JH5`k&>B8AK ' =)5
<7E8;:78 365 = /'W8ABJdHdn8;:Rmn>JH?'B >?<7E8N<9:T=)?'57k&36575T3Y>? B8AK =AL >)Oc8A=)ITE k&8A5757=b)8  <7EH8 <73 kl8N<7=) 8A?
O >):a=)? 8;[)8A?<G3 54>)OjK63Y<9<7K68R[=)K6J8  1cK 59>Nb3Y[)8A? <7E8&KY>" I*>59<f>)O 57<9>):T=b)8D?>" =)BH=hL59 "j8&=:T8&?>)<a=)5
36?<98;:78A59<98AB 36?%k&36?'36k&3A36?HbD<7E8D57<9>):T=b)8DO >):G8A=)I"E dH:T>I*8A575R=)5&" 8D=:78 36? ) 8;8;d'36?b <7E8D?JHkGmn8;:a>)O
kl8A575T=b)8A5fKY>" c>" 8;[)8;:# =)5S<7E8 59<9>):T=b)8lO >):48A=)ITE d':7>I*8A5T5 "`3 K6Kk&=)3 ?HKYL I*>?H573657<c>)O 36?O >):Tk&=<73Y>?
=mn>J<R36<75R?8A36bEmn>):T5# <7E8NEH3YbE8;:a<7EH8 ?JHkRm8;:R>)O ?8A3YbEmn>):T5 <7E8Db):78A=<98;: "c36K6KPmn8D<7E8 ?J'kGmn8;:
>)O kl8A575T=b)8A5V578A?<V=)5V= d'=:7<R>)O<7E8D:78;d/=)3Y:Rkl8AI"EH=)?H365Tk <9>/' =)?L mH:T> ) 8A? K63 ?  5a<9>]?8A3YbEmn>):T5 
%O 8A=)ITE ?>BH8Rdn8;:T3Y>WBH36I;=)K KYL 36?H3Y<736=<98A54=)I*<73Y>?'54<9> :78;d'=)3Y:fK636?  5c<9> O =)3 KY8AB]?H8A3YbEmn>):T5n 36< "c36K6KI*:T8A=<98
= B8AK6Jb)8 >)Ock&8A5757=b)8A5 O >):l<7E8N:78;d'=)3Y: kl8AITE'=)?H3657k  -`EJH5 36? >):"B8;: <9> kD36?H36k&3 ;8&<7E8 ?J'kGmn8;:
>)Ojk&8A5757=b)8A5 3Y< "j>JHK B mn8 mn8A?8 /'I;36=)K#<9>Ck&36?H3 k&3;8G<7EH8 ?JHkRmn8;:S>)O?8A3YbEmn>):T5cd8;:fd':7>I*8A5T5+ =)?HB

36? <7JH:T? :78ABHJ'I*8a<7E8G59<9>):"=b)8V59d/=)I*8adn8;: dH:7>WI*8A575  + 8RI*>?HI*8A?<9:T=<98 >? k&8A=)57J:T36?Hbl<7E8G?JHkGmn8;: >)O
kl8A575T=b)8A5 O_>):P>J: =)KYb)>):"3Y<7EHk&5)=)?HBV<7E859d/=)I*8 JH598ABV=< 8A=)ITEldH:T>I*8A575 <9>48;[=)K6JH=<98<7E8dn8;:7O >):Tk&=)?HI*8
>)O >J: BH=<7=&59<9:"JHI*<7J:78A5  + 8R?>)<98f<7EH=<<7E8;:78a3 5= <9:T=)B8  > % mn8;<," 8;8A?C59<9>):T=b)8R:78)J'3Y:78Akl8A?<75=)?HB
?JHkGmn8;:c>)O:7>J<736?Hb^E>)d'5cO >):4= 598A=:TI"E )JH8;:7L =)?'B" 8R<9:TLC<9> k&=)36?<7=)36? = m'=)K6=)?'I*8Gmn8;<," 8;8A? <7E8
<," >Dd/=:T=)kl8;<98;:T5  + 8RJ'598f<7E8a<98;:TkD5`59d'=)I*8 59<9>):T=b)8 n=)?HBC59<7=<98V36?<98;:TITEH=)?Hb)8A=m'KYLN<9>DB8A?>)<98R<7E8

-

59<9>):T=b)8V59d'=)I*8G=<`8A=)ITECd':7>I*8A5T5<9>^k&=)3 ?<7=)36? 3 ?O_>):"k&=<73Y>?N=mn>J< <7E8a59<7=<98R>)O#<7EH8G59LW59<98Ak




 : E!



n!


% ? 
 >36?< " >):  "`3Y<7E i=)kl8A5 1S59d'?8A5P=)?HB#(>8  2436=)k&=)B'3"$ 
*&  % I*>?H5736BH8;:78ABG<7EH8 d':7>)m'KY8Ak >)O/B8A5T3Yb?H36?b
=)? >h[)8;:TK6=hL ?8;<7j" >):  =)?HB= :7>JH<736?b kl8AI"EH=)?H365Tk <7EH=<V8A?H=m'K68A5 /'?'BH36?b :78A57>J:TI*8A5R8 $DI;3Y8A?<7KYL%36?
=Ndn8;8;: <9> dn8;8;:a59LW59<98Ak  + 8&=:7bJ8l<7EH=<fk&=)?L]8('3659<73 ?b =d'dH:7>=)ITEH8A5f<9> <7EH365SdH:7>)m/KY8Ak <7E'=<aJH598
2 `- 5HI;=)? mn8fkl>BH8AKY8ABN=)5<7E8fI*>?H59<9:TJ'I*<73Y>?N>)O = :"=)?HB>k b):T=d'EN8AkRmn8ABHB8ABN36?N=lkl8;<9:T3 IS57d'=)I*8
"`E>578Cdn>36?<75 :T8;dH:78A598A?<&:78A59>JH:TI*8 36B8A?<73>H/ 8;:"5 =)?HB <7EH8CdH:7>)m'=m/36K63Y< L%>)Of=%I*>?H?8AI*<73Y>? mn8;<," 8;8A?
<," > d>3 ?<75cB8;dn8A?HBH5>?HK6L >?]<7E8VBH3659<7=)?HI*8Rmn8;<," 8;8A? <7E8Ak 36? <7E8Rkl8;<9:"36IG59d/=)I*8  + 8V57<7JHBLN<7E8
dn8;:7O >):Tk&=)?HI*8&>)O =]dn8;8;: <9> dn8;8;:V?H8;<," >):  `" E8;:T8&:78A59>J:"I*8A5R=:78 8AkRm8AB'B8AB =<Rb):T36B%dn>36?<75G3 ? =
5736k&d'KY8ck&8;<9:T36I459d'=)I*8)g= >?8 MB'36kl8A?H5736>?H=)K':T8A=)KK 36?8  + 8fdH:7>,[)8aJdHdn8;: =)?'B KY>" 8;:mn>JH?HBH5j>?N<7E8
kl8A575T=b)8DI*>kld'KY8(' 3Y< L]>)OKY>WI;=<736?b d'=:7<73 I;JHK6=:f:78A59>JH:TI*8A5a36? 57JHI"E%=C?8;<7j" >):   JH?HB8;:a=N[=:T3Y8;< L >)O
=)5757J'kldH<73Y>?H5V=mn>J< O =)3 K6J:78A5R>)O`8A3Y<7EH8;: ?H>B8A5V>):l<7E8 I*>?H?H8AI*<73Y>?H5 mn8;<," 8;8A?<7E8Ak  fJ:lKY>" 8;:
mn>JH?HBH5 36?d'=:T<736I;JHK6=:l57E>" <7EH=<l<7E8CJ'598 >)OS3 ?[)8;:T578 d>j" 8;: MK6=" B'3659<9:T3Ym/J<73Y>?H5R36?:7>J<736?b  =)5

57Jb)b)8A57<98ABCmL aK68A36?mn8;:7b $ (*( & /365I;KY>598a<9>D>)dH<736k&=)K 
+ 8dH:7>)dn>598 =)?R=m/59<9:T=)I*< kl>WB8AKO >): =`dn8;8;: <9> dn8;8;: ?8;<," >): G=)5 O >K6KY>"`5;g @  B8AkRm8ABR:78A59>JH:TI*8A5
=)5Vdn>36?<75R36? = kl8;<9:T3 ID59d'=)I*8  @ o:BRI*>?H57<9:TJHI*<R=)?=dHd':7>)dH:T36=<98D:T=)?HB>k b):T=d'E >? <7EH8A598^dn>36?<75
=)?HB @ :q B 8 $^I;3Y8A?<7K6LRKY>WI;=<98:78A59>J:"I*8A5 mLVb):78;8ABLR:7>J<736?Hb  + 8`I*>?'5736B8;:=f573 kld'KY8j>?8 MBH36kl8A?'573Y>?H=)K
kl8;<9:T3 I 57d'=)I*8 "`3Y<7Ek&=)I"EH36?8A5l=)?'B:78A59>J:TI*8A5&8AkGmn8ABHB8AB=<&b):"36Bd>3 ?<75V>)O4= :78A=)KK636?8   =)I"E
k&=)I"EH36?8D3 5f8AkGmn8ABHBH8AB =<R=CBH3 %8;:78A?<adn>36?<fO_>):G8;[)8;:7L :78A59>J:"I*8&<7EH=<R36<aE>59<75 - EJ'5 #=C5T36?bKY8
k&=)I"EH36?8 kD=AL EH=h[)8]kVJHKY<73Yd'K68NK6>I;=<73Y>?'5D36? <7EH8 >h[)8;:"K6=AL ?H8;,< " >):   BH8;d8A?'BH36?b >? <7EH8 ?J'kGmn8;:
>)O :78A57>J:TI*8A5V<7EH=<l3Y<REH>59<75   =)I"Ed>3 ?<V36?%<7E8 kl8;<9:"36ID59d/=)I*8N3 5RI*>?H?H8AI*<98AB<9> 3Y<75 36kDkl8ABH36=<98
?8A3YbEmn>):T54=)?HB lKY>?b MBH3657<7=)?HI*8l?8A3YbEm>):"5SI"E>598A? "c3Y<7E dH:7>)m'=m/36K63Y< LC36?[)8;:"598AKYL d':7>)dn>):7<73Y>?H=)K#<9>
<7E8GB'3659<7=)?HI*8fmn8;,< " 8;8A?C<7EH8Ak 
4JH: k&=)36?CI*>?<9:T3Ym'JH<73Y>?H5=:78G=)5`O_>K6K6> "`5;g
+ 8d':7>h[)8<7EH=<"`3Y<7E d>3 ?<75 36?R<7E8kl8;<9:T36I 59d'=)I*8=)?HB $  KY>)b &WKY>?HbMBH3659<7=)?HI*8K636? 5
dn8;:Pdn>36?<):7>J<736?bS<7=)8A5  @ @ KY>)b"B B<736kl8 36OH8A=)ITEldn>36?< >):K636? fO =)36K651"`3Y<7ERdH:7>)m/=m'36K63Y< L
@   B$ - EH8;>):78Ak&5`q + =)?'B q   p & 

p

+ 8`dH:7>h[)8`<7EH=<  
   
 b):78;8ABHLR:7>JH<736?b  "`EH8;:78<7E8:7>J<736?Hb4=)K6b)>):T3Y<7EHk0?8;[)8;:j<9:T=A[)8;:T578A5
=fK 36? ad'=)57< <7E8<7=:7b)8;<dn>36?<)<7=)8A5
 @ K6>)b   nK6>)bjKY>)b "B#<73 kl8 `" 3Y<7E  K63 ? aBH3659<9:"3Ym'J<73Y>? 
U36k&36K6=:"KYL `" 3Y<7E     
 b):78;8ABL :7>J<736?b  `" E8;:T8R<7E8 K636? NI;K6>598A59<4<9>N<7E8R<7=:Tb)8;<fd>3 ?<
3 5<7=)8A?" 8ab)8;<c=DKY>" 8;: mn>JH?HB >)O @ KY>)b    KY>)b K6>)b "B $ - E8;>):T8Ak q  q & 
+ 8d':78A598A?< 59>k&8 E8AJH:T3659<736I;5O_>): I*>?H57<9:TJHI*<736?b4=)?HBVk&=)36?<7=)36?H36?Hb <7E8?8;<," >): VBL?'=)k&36I;=)K6KYL 
=)?'Bl8(' dn8;:T3 kl8A?<7=)KH8;[ =)K6J'=<73Y>?H5 <7EH=<j57E>" <7EH=<<7E8cE8AJ:T3657<736I;5Pb3Y[)8`=f:T8A57JHKY<736?Hb4K 36? RB'3659<9:T3 
m/J<73Y>?R<7EH=< 365[)8;:TLRI;KY>598 <9>4<7E8>)dH<736k&=)K36?[)8;:T598 dn>" 8;:MK6=" B'3659<9:T3Ym/J<73Y>? `" 3Y<7ER8(W' d>?H8A?< 

$ UW8AI*<73Y>?]q ( &




+ 8R=)K659>ldH:78A578A?<59>kl8a3 ?<98;:78A57<736?bl8('Wd8;:"36kl8A?<7=)K/:T8A57JHKY<75 >? <7E8a?JHkRmn8;: >)O :7>J<73 ?blE>)d'5

O >): = 598A=:"ITE >)dn8;:T=<73Y>? J'5736?bBH3 %n8;:78A?< :T>J<736?b59<9:T=<98;b3Y8A5]57JHI"E =)5 m'=)I <9:T=)I 36?Hb =)?HB
:"=)?HB>k :78;:T>J<736?b $ U8AI*<73Y>? q + & 
- EH8CJH?HB8;:TK6L36?Hb]59<9:TJ'I*<7J:78N>)OS2 - 5l:78A578AkGm'K68A5&= m'=)K6=)?HI*8AB <9:78;8 36?"`EH3 ITEm'=)K6=)?'I;36?b B8 
dn8A?HBH5G>?<7E8 ?H8A=: MJH?H3YO >):Tk BH3659<9:T36m'J<73Y>? >)O`<7E8^>JH<9d'J<V>)O`<7E8NEH=)57E O J'?HI*<73Y>? c=)5TEH36?b <7E8
k&=)I"EH36?8G3 B8A?<73 /H8;:T5JH?H36O_>):TkDKYLDBH3657<9:T3Ym'J<98A5<7EH8Gk&=)ITE'36?8A5`3 ? <7E8Gkl8;<9:"36Ia59d'=)I*8 =)?HBC<7EJH5c?H=<7J 
:T=)K6K6LGdH:7>,[3 B8A5 KY>=)Blm'=)K =)?HI;36?bf36? <7E8c?8;,< " >):   c>" 8;[)8;: =)5<7EH8:78A59>J:TI*8 )8;L5j=:78 =)K659>GE'=)57E8AB 
2 -`5DI;=)? dH:7>h[W36B8 >?'KYLE'=)57E  <7=m'KY8 O JH?HI*<736>?H=)K63Y< L3  8  <7E8;L>?HK6L5TJdHdn>):7< dn>36?< )J8;:T368A5l>):
8('=)I*<Sk&=<7I"E )J8;:T368A5  e 8AI;=)JH598 EH=)57EH3 ?blB8A59<9:7>,L5c<7E8a>):TBH8;:T36?bl>? )8;L5 2 -59LW59<98Ak&5`BH>D?>)<
57Jd'd>):T< )J8;:T3Y8A5a<7EH=<a598;8  ?8A=:Gk&=<7I"E8A5R<9>C= )8;L >): )8;L5 "`3Y<7EH3 ? =Nb36[)8A? :T=)?b)8 D2S8A5736b?H36?b
= 59LW59<98Ak <7EH=<&57Jd'd>):T<75G:T=)?Hb)8 )J8;:T368A5VE'=)Bm8;8A?dn>598AB=)5l=)?>)dn8A? )J8A57<73Y>?mL c=:7:T8A? +
2 4 $ ,p & 2 - 59LW59<98Ak&5=)K659> B8A59<9:7>,L&<7E8cdH:7>)dn8;:7<MLl>)O : ; 6 6    6   "`E8;:78c:78AK6=<98AB :78A59>JH:TI*8A5
=:78ldH:T8A598A?<f?8A=:f8A=)I"E >)<7E8;:G3 ?]<7EH8V>,[)8;:TK6=hL ?H8;,< " >):  &U> +EH=h[3 ?bN(8 'd'K6>):78AB 2 - 5 4"j8lkl>WBH3 
/H8AB >J:f=dHdH:T>=)ITE <9> (8 'Wd'KY>3Y<S<7E8lJH?HB8;:"KYL3 ?bl<9:78;8&59<9:TJ'I*<7J:78V<9> b3Y[)8 <9:78;8 O JH?'I*<73Y>?H=)K63Y< L "`EH36KY8
=dHd'K6L36?HbV=&5T36kld'KY84BH3657<9:T3Ym'J<98AB m'=)K =)?HI;36?bl57I"E8Akl8a<9>&d':78A598;:7[)8am/=)K6=)?HI*8a=)?HBCB'3659<9:T3Ym/J<98SK6>=)B
% ? 
 >36?< " >):  "`3Y<7EDi=)kl8A51S59d'?8A5 $  &  %PB8A57I*:T3Ymn8ABl=f?8 " kl>BH8AKO_>):j=4d8;8;:  <9>  d8;8;: ?8;,< " >): 
m'=)598AB]>? =DBH3657<9:T3Ym'J<98AB BH=<7=^57<9:TJHI*<7J:78G<7EH=< " 8 I;=)K6K= 89;: < :2 SU 3Yd]b):T=d'EH5c=:78 =D?>,[)8AK
BH3657<9:T3Ym'J<98AB BH=<7=N59<9:TJHI*<7J:T8 m/=)598AB >? 5 3Yd K63659<75 $ -)q & n<7EH=<4dH:7>,[3 B8G<7E8 O JHK6KO JH?'I*<73Y>?H=)K63Y< LN>)Oj=
m'=)K6=)?'I*8AB <9:78;8 36?l=fBH3657<9:T3Ym'J<98ABR59LW59<98Ak  "cE8;:788AKY8Akl8A?<75=:78 59<9>):T8ABl36?l598;d'=:T=<98 ?H>B8A5P<7E'=<k&=AL
O =)36Kn=< =)?L^<736kl8  - E8;L =:78fB8A573Yb?H8AB^O >): JH598f36?N598A=:"ITEH36?HbVdn8;8;:  <9>  dn8;8;: ?8;7< "j>): 5 /=)?HB mL^dH:7> 
[W36BH36?b4<7E8c=m'36K63Y< LG<9>Rd8;:TO_>):Tk )J8;:T368A5 m'=)598ABl>? )8;L >):TB8;:T36?Hb <7E8;Ll36kldH:T>h[)8 >?l(8 '3659<73 ?ba598A=:TI"E

*

<9>>K65`<7E'=<cdH:T>h[W36B8G>?'KYL EH=)57E  <7=m'K68GO JH?HI*<73Y>?H=)K 3Y<ML `ZS?HK63 )8G5W3Yd]K63 59<75 >):S>)<7E8;:4<9:78;8 BH=<7=^57<9:TJHI 
<7J:78A5 H5 36d b):"=d'EH5=:78aEH36bEHKYL&:78A5T36K63Y8A?<<9>K68;:T=<736?b&=lK6=:Tb)8fO_:T=)I*<736>? >)OO =)36KY8ABN8AKY8Ak&8A?<75 "c3Y<7E>J<
KY>573 ?bRI*>?H?H8AI*<73Y[36<ML  % ?N=)BHBH3Y<73Y>? I*>?H59<9:"JHI*<736?b 36?H578;:7<736?bV?8 " 8AKY8Akl8A?<7536?<9> 598A=:"ITEH36?HbV= 5W3Yd
b):T=d'E =)?HBCB8;<98AI*<736?Hb^=)?HB :T8;d'=)3Y:T36?HbV8;:T:7>):T5 36?N<7EH8GBH=<7=D57<9:TJHI*<7J:78a3 ?<9:7>WBHJHI*8ABNmL ?>WB8fO =)3 K6J:78A5
I;=)?Cmn8fB>?8RJH5736?b 5736k&d'KY8f=)?HBC59<9:"=)3YbE<9O >): "=:TBC=)KYb)>):"3Y<7EHk&5 
4JH: k&=)36? :78A5TJHKY<75=:78a57J'k&k&=:T3 ;8AB =)5`O_>K KY> "`5Ag
+ 8 36?<9:7>WBHJHI*8a=&?8 "BH3659<9:"3Ym'J<98ABNBH=<7=^59<9:TJHI*<7J:T8GI;=)K6KY8ABC=^5 W3YdCb):T=d'ECO_>):S=&dn8;8;:  <9>  dn8;8;:
?H8;,< " >):   + 8 57E> " <7EH=<&36?= 5 36d b):T=d/E "c3Y<7E 8AKY8Ak&8A?<75  598A=:TI"E8A5 j3 ?H598;:7<73Y>?'5 =)?HB
BH8AKY8;<73Y>?H5<7= )8  @ KY>)b "B <736kl8 $  8Ak&k&=)5 
  o  
  ql=)?HB 
  
 & 
+ 8`dH:7>h[)8`<7EH=< =f5 W3Ydlb):T=d'E "c3Y<7E N8AKY8Akl8A?<75EH=)5=)?l(8 'Wd'=)?H5T3Y>? :T=<73Y>f>)O @  KY>)b "B "`3Y<7E
E'3YbEVdH:7>)m'=m'3 K63Y<ML <7EJH5PdH:7>,[3 ?b4<7EH=<3Y<P365P:78A5736K 3Y8A?<#<9>G=)B[)8;:T5T=:T36=)KO =)3 K6J:78A'5 $ - E8;>):T8Ak 
   p & 
+ 8f=)K657>Gb3Y[)8S(8 'dn8;:T3 kl8A?<7=)K':78A57JHK6<75<9> 57E> " <7EH=<=R5 3Yd^b):T=d'E^dn8;:7O_>):"k&5 " 8AK6K'8;[)8A?N36?D<7E8
d':78A598A?HI*8a>)O :T=)?HBH>k O =)3 K6J:78A5 $ U8AI*<73Y>? 
 +   & 
+ 8Sb3Y[)8S=a:78;d'=)36:jkl8AI"EH=)?H3657k <7EH=<j:T8;d'=)3Y:T5=)?L&I*>?H?8AI*<98AB I*>kldn>?8A?< >)O+=RB8;O_8AI*<736[)8c5 W3Yd
b):"=d'EC36?N<7E8R=m'598A?HI*8a>)OP?8 " O =)36K6JH:78A5 36?H598;:T<75 =)?HBCB8AKY8;<98A5 $ - E8;>):78Ak 
  o)o & 
+ 8^dH:7>,[)8D<7EH=<R<7E8DI*>?b)8A59<736>? =<R=Cd'=:7<736I;JHK =:f8AKY8Akl8A?< 3 ?%=C5 W3Yd%b):T=d/E%365a36?[)8;:T598AK6L
d':7>)dn>):7<73Y>?H=)K<9>4<7E8?JHkRmn8;:P>)O'8AKY8Akl8A?<75Pmn8;,< " 8;8A? =)?HBV<7E8<7=:7b)8;< 8AKY8Ak&8A?< <9> "`EH3 ITEV<7E8
k&8A5757=b)8&3654598A?< =)?HB <7EH=<4<7E8&BH3 59<9:T3Ym'JH<73Y>? >)O <7E'3654I*>?b)8A59<73Y>? B8AI*:T8A=)598A5f(8 'Wd>?H8A?<736=)K KYL
mn8;L)>?HBC<7EH365dn>36?< $ - E8;>):78Ak&5 
  o 
^=)?HB 
  *o  & 















$

$

 

- E8 :78A57<S>)Oj<7EH3654BH365T598;:7<7=<73Y>? 365459<9:TJ'I*<7J:78AB =)54O_>K KY>"`5Ag4\EH=d'<98;:Go^I*>,[)8;:T5a:T8AK6=<98AB :78A598A=:TI"E 36?

<7E84=:78A=V>)O dn8;8;: <9> dn8;8;:57L59<98AkD5 =)?'BD>)<7E8;:I*>?<98Akldn>):T=:7LD57L59<98AkD5jmn8A36?HbGJH598AB I*>k&kl8;:TI;3 =)K6KYL 
- E8lk&=)3 ? <98AITEH?H3 I;=)K :78A57JHK6<75f=:78&36? \EH=d'<98;:T5aqN=)?HB 
  % ? \EH=dH<98;:Rq 4"j8DB'3657I;JH575S<7E8&BH8;<7=)36K65
>)O <7E8 :78A57J'KY<75G>?O =)JHKY< <9>KY8;:"=)?<V:7>J<736?Hb]36? >J: =m'59<9:T=)I*<lkl>WB8AKj>)O`=)?>h[)8;:TK6=hL?H8;<," >):  =)5l=
kl8;<9:T3 I M59d'=)I*8V8AkGmn8ABHBH3 ?b   >59<S>)O <7E8RkD=<98;:T36=)K 36?C<7EH3 5 ITEH=d'<98;:43 5`=)BH=dH<98AB]O :7>k $ 
 & c2c8;<7=)3 K65
>)O 5 W3YdCb):T=d'E'5 =)?HBC<7EH8A3Y: dH:7>)dn8;:7<7368A5 =:78ab3Y[)8A?]36?]\E'=dH<98;: 
 '=)?'B kVJHITE >)O <7E'365 " >): C=dHdn8A=:T5
36? $  & jF 3 ?H=)K6KYL !" 8GI*>?HI;K6JHBH8 "c3Y<7E BH3Y:78AI*<736>?H5O_>):`O J<7JH:78 "j>):  36? \EH=dH<98;:  

o


 



  
 


 

- E8;:T8 EH=)5 nm 8;8A?= 57KY8 " >)O`:78A578A=:TITE 3 ? <7E8 =:78A= >)Ocd8;8;:  <9> d8;8;:&57L59<98AkD5l36? <7EH8NK =)59<VI*>JHd'KY8
>)O4L)8A=:T5  % ? <7E'365&ITE'=dH<98;: "j8]57JHk&k&=:"3;8C59>kl8C>)O4<7E8"j8AK6K  ?>"`? I*>?<98Akldn>):T=:7Ldn8;8;: <9>

dn8;8;:a59LW59<98Ak&5a=)?HB%:78AK6=<98AB :78A578A=:TITE =)KY<7E>JbE <7E'3654mH:T3Y8;O 57J:7[)8;L 3654mL ?H>Nk&8A=)?H5aI*>kld'K68;<98&>):
8('EH=)JH59<73Y[)8  % ? d'=:T<736I;JHK6=:" 8 BH> ?>)< I*>h[)8;:l<7EH8 d/=d8;:"5a:78AK6=<98AB<9> 598AI;J:"3Y<ML%36? dn8;8;: <9> dn8;8;:
59LW59<98Ak&5 =)5`<7E8;L =:78fmn8;L)>?HB <7E8R57I*>)dn8a=)?HB <7E8fO >I;J'5>)OP<7EH365BH365T598;:7<7=<73Y>?
H 



!
AY #*o!

Ay$

% ? \EH=dH<98;:   "j8 BH3 57I;JH57598AB 59>k&8 >)OV<7E8 /H:T57< b)8A?8;:T=<73Y>? dn8;8;: <9> dn8;8;:C59LW59<98Ak&5 "cEH36ITE" 8

kl8A?<73Y>?CE8;:T8fO_>): <7EH8G57=)8a>)O I*>kld'K68;<98A?8A575 
S=d'59<98;: $ * &RJH578AB = I*8A?<9:T=)KG578;:7[)8;: <9> 36?HB8(' <7E8%:78A57>J:TI*8A5 3 ? <7E8 59LW59<98Ak a=)?'B dn8;8;:T5
JH598AB <7EH365&3 ?HB(8 '<9> KY>WI;=<98 /'K68A5D36? <7EH8 59LW59<98Ak  - E8 =)I*<7J'=)K /'K68 <9:T=)?H59O 8;:*"=)5^BH8AI*8A?<9:T=)K 3;8AB
=)?HB>WI;I;J:7:78ABmn8;,< " 8;8A? <7E8 dn8;8;: <7EH=<l:78 )J8A59<98AB<7EH8 :78A59>J:TI*8 =)?HB<7EH8 dn8;8;:l<7EH=<&EH>59<98AB 3Y< 
Q4?J<98AK6K6= $ 
q &B8AI*8A?<9:T=)K63 ;8A5 <7E836?H3Y<73 =)K):78A59>J:"I*8B'3657I*>h[)8;:TLG=)51"j8AK6KmL H>>BH3 ?b <7E8?8;<," >):  "`3Y<7E
=l:78 )J8A59<  %=< "j>): 5cK63 )8G=&57>I;36=)K?8;,< " >):   "`EH8;:78f<9>Db)8;<S59>kl8Gd/3Y8AI*8a>)O 36?O >):Tk&=<73Y>? H=ldn8;:T59>?
"`36K K /H:T59<=)5 DEH8;:jO :T3Y8A?HB'5 =)?HB^<7E8;L "c36K6KH36?^<7J:T? =)5 &<7EH8A3Y:jO :T3Y8A?'BH5 =)?'B^59>V>?  a= ( =)1 $ (  &+=)?HB
 >):7d'E8AJH5 $ )o &=)k&8AK63Y>):T=<98S<7E8`d':7>)m'KY8Ak&5>)O H>>WBH36?HbfmL&JH5T36?ba57Jdn8;:  dn8;8;:T5 <7EH=< d'=:7<736I;3Yd/=<98`36?
<7E84?8;,< " >): ^>?D<7E84mn8AEH=)KYOn>)O5Tk&=)K6KY8;:jb):7>Jd'5j>)O+8A?HB JH598;:T5 m'JH< <7E8;LDBH>V?>)<59>KY[)8S<7E8Ak 36?^<7E8
K636kD3Y< jU>kl8a:"JHKY8A5>)OP<7EJHkGm O_>):c<7E8GB8A5736b? >)O 57Jdn8;:  dn8;8;: ?8;,< " >): W5 /5TJHITE]=)5 :78ABHJ'?HBH=)?HI*LN=)?HB
I;K6JH57<98;: 573 ;8 HEH=h[)8amn8;8A?NO_>):TkVJHK6=<98ABNmL X =)?b + 2 4 $  o)*o &+m'=)598ABN>?C=l59<7J'BLD>)O <7E8fdn8;:7O >):Tk&=)?HI*8

q

>)O Q4?J<98AK6K6= 
FIRST−LEVEL
NEIGHBORS
IP4
B

PEERS
IP1

A
B

IP2
IP4

Z

IP3

CENTRAL
INDEX

Z

CENTRAL
SERVER

G

SECOND−LEVEL
NEIGHBORS

REQUESTING
PEER

IP3

RESOURCES
A

M

TRANSFER

IP5

IP2

NAPSTER

SUPER
PEERS

GNUTELLA
(Version 0.4)

KAZAA
MORPHEUS

FP3YbJH:78ao   gjFP3Y:T59<b)8A?H8;:T=<73Y>? 57L59<98AkD5;g c=d/59<98;:Q4?J<98AK6K = a=(n=)1 '=)?HB  )> :7d'E8AJ'5 




 
 
  - E8ckD=)36?Db)>=)Kn>)O#F:78;8A?8;< $ o  &+365j<9> 8A?H=m'KY8cd'Jm'K63 57EH36?b :78;<9:"3Y8;[3 ?bR=)?HB :78;d/K636I;=<736?b

B>WI;JHkl8A?<75 "cEH36KY8&d':7>)<98AI*<736?b]<7E8 
    >)O mn>)<7E%<7EH8^d'JHm'K63657EH8;:T5f=)5 " 8AK6K =)5G<7EH8^:78A=)BH8;:T5 
 =)I"E /'KY8N365 36?H578;:7<98AB36?<9> <7E8C?H8;<," >): J'5736?b = )8;L "`E'36ITE365 = EH=)57E>)OS3Y<75lI*>?<98A?<  [)8;:7L
?>WB8RkD=)36?<7=)3 ?H5`= I;=)ITE8 @ ?>)<4=&dn8;:T5T3659<98A?<c59<9>):78 B >)O <7E8 K6=)59<cO_8 " )8;L543Y<SEH=)5S598;8A? =)?HB )8;8;d/5
<9:T=)I ]>)O <7E8l?>WB8 <7EH=<a3Y<SO_>): "=:TB8AB <7EH8V:T8 )J8A57<fO_>):a= d'=:7<73 I;JHK6=: )8;L]<9>  1 ?H>B8lI*>kld/=:78A5
=)?L]36?HI*>kD36?b :78 )JH8A59<4<9> <7E8 8A?<9:T368A5f36? <7EH8&I;=)ITE8 9//?HBH5S<7E8lI;KY>598A59<fk&=<7I"EH36?b )8;L <9>C3Y<f=)?HB
O >): " =:"BH5V<7E8 kl8A5757=b)8C<9> <7E8 I*>):7:T8A59dn>?HBH36?b ?>WB8  FP36KY8A5 =:78 36?H578;:7<98AB=)?HB 598A=:TI"E8AB 36?<7E8
57=)kl8 "=AL c<7EJH5 8A?H5TJ:T36?b <7EH=<N<7E8 ?H>B8A5NI*>>)dn8;:T=<98 <9> :7>JH<98 :T8 )J8A57<75^<9><7E8 kl>59<NK63 )8AK6L
d'EL5T36I;=)K KY>WI;=<73Y>?>)O <7E8NBH=<7=  % O = ?>WB8^O =)36K 5a<9> KY>I;=<98 =]:78A59>J:"I*8 3Y<G:78;<7JH:T?H5R<7E8^>):"3Yb36?H=)K
kl8A575T=b)8RB> "`?H59<9:78A=)k =)KY>?b&<7EH8G57=)kl8ad/=<7EC<7EH=<`36<`I;=)kl8GO :7>k H=)?'BC<7E8a:T8 )J8A57<`365O >): "=:TB8AB
<9>l<7E8f?(8 'W<m8A57< ?8A36bEmn>):  + 8aI;=)?N<7EH36? &>)O<7E8GQ4?J<98AK6K =R598A=:"ITEC=)KYb)>):"3Y<7EHk =)5= ) $= 
+ $ =)5 >)dHdn>598AB <9>D= &  $6    $ 36?NF:78;8A?8;< ! >J<736?Hb 3 5j(8 'Wdn8AI*<98AB <9>&36kld':7>h[)8f>,[)8;:c=
dn8;:T3Y>WB >)On<736kl8mn8AI;=)JH598`?H>B8A5 "`36K6KW59dn8AI;36=)K63 ;8 36?lKY>WI;=<736?bG598;<75 >)O 5736k&36K =: )8;LW5 =)5 " 8AK6K=)5j57<9>):T36?b
I;K6JH57<98;:T5V>)=O /'KY8A5 "`3Y<7E5736kD36K6=: )8;LW5  - EJH5  //KY8A5 "c36K6Kmn8NBLW?H=)k&36I;=)K6K6L :T8;d'K636I;=<98AB36?KY>I;=<736>?H5





?8A=:S:78)J8A59<98;:T5S=)?HB B8AKY8;<98AB]O_:7>k KY>WI;=<73Y>?H5 "`E8;:78R<7E8;:78R3 5`?> 36?<98;:T8A59<  - EH8adn8;:7O_>):"k&=)?HI*8G>)O
F:78;8A?H8;<`365BH>3 $DI;J'KY<j<9>l8;[=)K6JH=<98a=)?'B 3Y<dH:7>h[W36B8A5?>ld':7>h[=m'KY84bJH=:T=)?<98;8a>?N<7E8a578A=:TITECK =<98A?HI*L 
1S?>)<7E8;:`B:"= " m'=)I  365<7EH=<`36<BH>8A5 ?H>)< bJH=:T=)?<98;8G<9>//?HB =)I;I*8A57573Ym/KY8aI*>?<98A?< 
H





*a

!AE!



n y



 

*

- E8*/H:T59< b)8A?8;:"=<73Y>? dn8;8;: <9> dn8;8;: 59LW59<98Ak&5V36?H59d'36:78AB <7E8^B8;[)8AK6>)d'kl8A?<G>)O lk >):78 59>)d'EH3 59<736I;=<98AB
598AI*>?HB  b)8A?8;:T=<73Y>?>?8A5lK 3 )8 \1  $ -**&  \E>):"B $ * o*&  @ =)59<9:7L $ -*- &  =)?HB #- =dn8A59<9:TL$  o* & %1SK 

<7E>JbE <7EH8A598l59L57<98Ak&5f=dHdn8A=:4[ =)59<7K6L]BH3 %n8;:78A?< <7E8;:78l3654= :78AI;J:7:T8A?<fJH?HBH8;:TKYLW36?b&<7E8Ak&8)gc<7E8;L
=)K6KHJ'598`59>kl8c[ =:"36=)?< >)On=)?D>h[)8;:TK =ALDkl8;<9:"36I 59d'=)I*8S36? "`E'36ITEl<7EH8`k&=)ITE'36?8A5 =)?'B&:78A59>JH:TI*8A5 =:78c8Ak
mn8ABHB8ABlJH5T36?b $ %$&/ 0 1S5(8 'Wd'K6=)36?8ABV8A=:TK 3Y8;: 8A=)I"E^k&=)I"EH36?8 I;=)?D8A3Y<7E8;:k&=)3 ?<7=)36?&<7E8`=)BHB:T8A57598A5
>)O <7E8^:78A59>J:"I*8A5R<7E'=<V3Y<V365R:78A59dn>?H573Ym/KY8 O_>):  >): 3Y<VI;=)?=)I*<7J'=)K6KYL%E>59<V<7E8^:78A59>J:TI*8A5  !`>J<736?b
365 BH>?8 0  /23 mL O_>): "=:TBH3 ?bld'=)I )8;<75c<9>^?H8A3YbEmn>):T5 2 
 + <9>D<7E8G<7=:7b)8;<c?>WB8 "`36<7E :78A59dn8AI*<
<9>%<7E8]kl8;<9:T36I BH3 59<7=)?HI*8  - EH3 5l36?HE8;:78A?<lI*>k&kl>? 59<9:TJHI*<7J:T8CKY8A=)BH5l<9> 5T36k&36K6=:V:78A57J'KY<75lO >):&<7E8
dn8;:7O >):Tk&=)?HI*8V>)Oj57J'ITE ?8;,< " >): W5  e 8;O >):78 "j8 (8 'Wd'K6=)36? 2 -`5S3 ? BH8;<7=)36K  36?]<7EH365S598AI*<73Y>?  " 8lKY>> 
=<`59>k&8a>)O#<7EH8adH:78AI;J:"59>):T5<7EH=<`K68AB <9>&<7E8A3Y: BH8;[)8AKY>)d'kl8A?< 
 

 

, *(*$

S=)57EH36?bREH=)5 mn8;8A?^JH598AB^8A=:TK63Y8;:jO_>):598;[)8;:T=)K=dHd'K63 I;=<73Y>?H557J'ITE =)5jBH3 59<9:T3Ym'JH<98AB&BH=<7=m'=)598A5 $     p 
 ( &=)?HBVBH3659<9:T36m'J<98ABfI;=)ITE'36?bSdH:7>)<9>WI*>K65 $ ,  q &   $   &365 =SEH=)57EH36?Hb`kl8;<7E>WBRJ'598ABGO >): 8('<98A?H5T3Ym'KY8
BH365  //KY8A5+<7EH=< b):7> ">):P57E:"36? 4BL?'=)k&36I;=)K6KYL "`3Y<7ER?>cB8;<98;:"3Y>):T=<73Y>?V36?G57d'=)I*8 JH<736K63 A=<73Y>?a>):P=)I;I*8A5T5
<736kl8 FP36K68A5 =:78f>):7b=)?H3 ;8AB 36?<9>lm'JHI )8;<75 >?CBH3 5 D<7EH=<cI;=)? mn8a=)I;I*8A57598AB JH5736?b =ld'=)36:>)O EH=)5TEH36?b
O JH?HI*<73Y>?H5  =)?'B    FHJH?'I*<73Y>?  365K63 ?8A=:TKYL&:T8;d'K6=)I*8ABNmL  `=)5 <7E8fm'JHI )8;<`I;=d'=)I;3Y<73Y8A5c=:78
8('I*8;8AB8AB =)?HB^O_8 " >)m 
 8AI*<75 ?H8;8ABD<9>Vmn8`<9:T=)?H57O_8;:7:T8AB&8A=)ITEN<73 kl8c=R?8 " m/JHI )8;<365 =)BHB8AB )! 8AI*>):"BH5
I;=)? mn8VKY>WI;=<98AB 36? =NI*>?H57<7=)?<f?JHkGmn8;:S>)O E>)d'5    $  ( &Pb)8A?8;:T=)K63 ;8A5  <9> B'3659<9:T3Ym/J<98ABCBH365 
/'KY8A5 "`3Y<7E>J<J'5736?bf=GI*8A?<9:T=)K/I*>>):TB'36?H=<9>):j=)?'B&k&=)36?<7=)36?H5=)?^=A[)8;:T=b)84KY>=)BDO =)I*<9>): >)O p  -*
O >): 8A=)ITE]m'JHI )8;< 
\ >?'573659<98A?<EH=)57EH3 ?b "=)536?<9:7>WBHJHI*8AB mL G=:7b)8;: + 2 4 $ , &HO_>): I;=)I"EH36?bfd':7>)<9>I*>K 5 <7EH=<I;=)?&mn8
JH598ABC<9>&:78AK63Y8;[)8 2  :  36? B'3659<9:T3Ym/J<98ABN59L57<98Ak&5  c>)<c57d>)<75 >I;I;J: "`E8A?C=&5TJHBHB8A? 36?'I*:78A=)598
36? <7EH8]B8Ak&=)?'B O_>): =%d'=:T<736I;JHK6=:l:78A57>J:TI*8]5 " =)kld/5&<7E8 578;:7[)8;:^<7E'=<^E>59<75^3Y< .->=A[)>36B E>)<




59dn>)<75<7E8`598;:7[)8;: 8;[)8A?HKYLlBH3 59<9:T3Ym'JH<98A5P<7E8 :78A59>JH:TI*8A5 =)I*:7>5T5 <7E8S598;< >)O =h[ =)36K =m'KY8`I;=)I"E8A5j5TJHITED<7EH=<
@ 3 Bc<7E8l(8 'Wdn8AI*<98AB%?JHkGmn8;:f>)O :78A59>J:"I*8&<9:T=)?H59O 8;:T5 "`EH8A? = I;=)ITE8 KY8A=A[)8A5 365a57kD=)K6K  @ 363 Bc<7E8&J'598;:T5
b)8;<^= kl>59<7KYL I*>?H573 59<98A?<D[3Y8 " >)O4=)K K<7E8 I;=)I"E8A5^=)5D8A=)ITE :78A59>J:"I*8 EH=)57E8A5&<9> =%57kD=)K6K598;<D>)O
I;=)ITEH8A5 +=)?HB @ 36363 B8A=)ITE I;=)ITEH8&365`:T8A59dn>?H573Ym'K68f>?HKYL O >):436<75`O =)3Y:457EH=:78V>)O:78A59>JH:TI*8A5  - EH365c57ITEH8Akl8
365&5T36k&36K6=:l<9>  ]m'JH<&3Y<D=)K6KY> "`5&m/JHI )8;<75^<9> mn8C=)BHB8AB 36? =)?L =:7m'3Y<9:T=:TL >):TBH8;:  \>?H573659<98A?<
EH=)57E'36?b EH=)5mn8;8A? JH598ABNmL 1 =)k&=)3 $ q &+O >): :78AK63 =m'KY8 bKY>)m'=)K HI*>?<98A?<SB8AK63Y[)8;:TL&>? <7E8 " 8;m  %< 365
=)K659> JH598AB =)5 <7E84I*>):78fEH=)57EH36?HbG=)KYb)>):T3Y<7E'k36? \E>):"B $ * o &nO >):K6>=)BDm'=)K =)?HI;36?bV=)?HB^?H8A=: MJH?H3YO >):Tk
BH3657<9:T3Ym'J<736>? >)Ojk&=)I"EH36?8l36BH8A?<7>3 /'8;:T5c3 ?]<7EH8 k&8;<9:T36I 59d'=)I*8 <9> 8AK636kD36?H=<98V<7E8l?8;8AB O_>):fm'=)K =)?HI;36?b
<7E8SJH?HB8;:TK6L36?Hbc<9:78;8459<9:TJ'I*<7J:78  + E'36KY8<7E8c>)<7E8;: 2 - 57L59<98AkD5 57JHI"E^=)5\1  $ -* &  @ =)59<9:TL $ -*- & 
=)?HB -#=dn8A59<9:7L $  *o  & PB> ?H>)<R59dn8AI;3YO L]<7EH8&(8 'W=)I*< EH=)57E%O JH?'I*<73Y>? <9> mn8DJ'598AB <7EH8;L%I;=)? =)K659>]JH598
I*>?H573 59<98A?<cEH=)57EH36?HbVO >):`k&=d'd'36?b k&=)ITE'36?8A5>? <9>&<7E8f>h[)8;:"K6=ALC?8;7< "j>):  
 


0,



/1(

, #, -,67, (





 
4,




, 0$'/1



*6

@ K ='<9>?  2 4 $ -)o &b=h[)8R=&B'3659<9:T3Ym/J<98ABN=)KYb)>):T3Y<7EHk O_>):`=)I;I*8A5T5736?bD5TEH=:78AB :78A57>J:TI*8A5`3 ? =)? >h[)8;:TK =AL
?8;<7"j>):  "`EH36K68GJH5736?HbD57k&=)K6K M573;8ABC:T>J<736?b^<7=m'KY8A54=<c8A=)I"E ?>WB8R36? <7E8 ?8;<," >):   -`EH365 :T>J<736?b
=)KYb)>):T36<7EHk 365RJ'598AB36? mn>)<7E - =d8A57<9:7L$  o* & =)?HB @ =)59<9:7L $ -*- & "`3Y<7E= O_8 " kl>WBH3>/'I;=<736>?H5  - E8
=)KYb)>):T36<7EHk 365Gm'=)598AB%>?  
  
  
 32 9: 
   
 
    4<  j=)ITE?>WB8DEH=)5R=CJH?H3 )J8  m'3Y<
36B8A?<7>3 /H8;:SBH3Y[W36B8AB]36?<9> DKY8;[)8AK 5c>)O  Dm'3Y<75c8A=)ITEE KY8;<  m'3Y<75c:78;dH:78A598A?<4=  0) f1 ?>WB8
"`36K K EH=A[)8 &598;<75`>)O"o ! ?8A3YbEmn>):T58A=)I"E 5TJHITE <7EH=<`8A=)I"E]598;$< # /p %&#'( "`36K6K EH=h[)8V?H>B8A=5 "`3Y<7E
36B8A?<7>3 /H8;:"5 =)5O >K6KY> "`5;)g #I*>k&k&>?CBH3Yb3Y<75 "`36<7E +* 536B8A?<7>3 /H8;: O >K6KY> "j8ABNmL =)K K/dn>575T3Ym'KY84o ! [=)K6J8A5
O >):a<7E8 @,#.-  B59<GBH36b3Y< +=)?HB%=)?L]>)O <7E8Do ! d>5T573Ym'KY8V[=)K6J8A54O >):a8A=)ITE >)O <7EH8l:78Ak&=)36?H3 ?b B'3Yb3Y<75 
1S? (8 '=)kld'K68 :T>J<736?b]<7=m'KY8 365Rb3Y[)8A? 36
? -#=m'K68 o    ! >J<736?Hb 365 B>?H8^mL b):78;8AB'36KYL O >): " =:"BH36?b
<7E8 kl8A5757=b)8N<9> <7E8^?>WB8 36?%<7E8^:7>J<736?HbC<7=m'KY8  "`E'36ITE EH=)5G<7EH8^KY>?b)8A57<RI*>k&kl>?57J $ ' "`3Y<7E
<7E8R<7=:7b)8;<S3 B8A?<73 /H8;: F>):S(8 'W=)kld/KY8 /=^kl8A5757=b)8VO_:T>k  o)q 
 <9>Nq 
q)q^k&=hLCmn8a:7>J<98AB =)5`O >K6KY> "`5;g
 o)q 
0/  o   / o)o   /  ## /  "  
< 1 o ! - EH8A? "`3Y<7E ?>BH8A5G36? <7EH8D?8;,< " >):  P<7E8^573 ;8&>)O<7E8D:7>JH<736?b <7=m'KY8^365 @31
 8;2
 B465 KY>)8b 7 :9c=)?HB^:7>J<736?HbG<7= )8A5 5 KY>)8b 7 :9S<736kl8  - E'365 "=)5 dH:7>)m'=m'K6LV<7EH8 /H:T57< :7>J<73 ?bR=)KYb)>):"3Y<7EHk
36?<9:7>WBHJHI*8AB<7EH=< "=)5&57I;=)K6=m'K68 O_>):ldn8;8;:  <9>  dn8;8;:D59LW59<98Ak&5  c>" 8;[)8;: 36?<7E8 >):T36b36?H=)K57ITEH8Akl8 
8A=)ITE :T8A59>J:TI*8 " =)54=)5757>I;36=<98AB "`36<7E]= JH?H3 )J8  ?>WB8R<7EH=<SkD=)36?<7=)3 ?8AB <7EH8V=)BHBH:78A575c>)O<7E8
:78A59>JH:TI*8  - EH365365BH3 57=)B[=)?<7=b)8;>JH5`=)53Y<:78 )J'3Y:78A5jbKY>)m'=)K W?> "`K68ABb)84<9>&k&=d :78A59>J:"I*8A5<9>l<7E8A3Y:










)(

UWJ$ '  A8 ?b)<7E
`8A3YbEmn>):T5
p
* q  q 
o)o  o  q 
)q o    o)o   )q q 
 
o
o     
q    
  
q
 o q 


- =m'KY8Do   gG1S? (8 '=)kld'KY8l>)O <7E8&:7>JH<736?bN<7=m'KY8l>)O?>WB8  )o q 
]JH5T36?b <7E8 @
c8;:78      
   o 



! !

:7>JH<736?b 57ITEH8Akl8 




:7>>)<`?>WB8A5 






H

! Y E!



n 

 

 

4

% ? <7EH365598AI*<736>?" 8fb3Y[)8G=lmH:"3Y8;O>,[)8;:7[368 " >)O <7E8GBH3657<9:T3Ym'J<98AB EH=)57EC<7=m'KY8a59LW59<98Ak&5/EH3YbEHK636bE<736?Hb

59>kl8G>)O#<7E8A36:`k&= 
 >):`B8A573Yb? =)57d8AI*<75 



 /1( 5&(1#" ,4-&##, &

 

(4&

/'



\1  $ -* & d'=:7<736<73Y>?H5 = MBH36kl8A?H5T3Y>?H=)K'I*>>):TBH3 ?H=<98c59d/=)I*843 ?<9>  
 <7EH=<=:78c>"`?8AB mLD?>WB8A5 
! 8A57>J:TI*8 )8;L5=:784k&=dHdn8AB&<9> dn>36?<75 36?D<7E84I*>>):TB'36?H=<98459d'=)I*84JH5736?bR=RJH?'3YO_>):"k EH=)57E^O J'?HI*<73Y>?
=)?HBN<7E8A? 57<9>):78ABC=< <7E8f?>WB8 "`EH3 ITEN>"c?H5<7E8;>?8G3 ? "cEH36ITE <7E8fdn>36?<365KY>WI;=<98AB  =)I"E ?>WB8
k&=)36?<7=)36?H5=)?  @ (B+57<7=<98j=mn>J<3Y<75#?8A3YbEmn>):T5 "`EH3 ITEa=m'JH<9"`3Y<7Ef<7EH8 ?>WB8>?HKYLf36?a>?8 BH36k&8A?H573Y>?
QS:78;8ABHL :T>J<736?b +mL O_>): " =:TB'36?b kl8A5757=b)8A5R<9>C<7E8^?8A3YbEm>):RI;KY>598A59<a<9> <7E8&<7=:7b)8;< ;>?8 #<7= )8A5
 @  Ba<736kl8 "`36<7E ?>WB8A5V36? <7E8 ?8;,< " >):   + 3Y<7E  K6>)b  8A=)ITE?>WB8^JH578A5  @ K6>)b B
59d'=)I*8R=)?HB :7>J<73 ?bl<7= )8A5  @ KY>)b Bj<73 kl8  FP3YbJ:78Vo  ol57E> "`5`=)? (8 '=)kld'K68f>)OP=&,< " > MBH36kl8A?H5T3Y>?H=)K
\1  "c3Y<7E =l:7>J<98GO_:7>k ;>?8Rq <9#> ;>?H8  JH5736?HbVb):T8;8ABLN:7>J<736?b 








(0, 1)

(1, 1)
3

ZONE

5

d=2
7

2

8
(0, 0)

(1, 0)

FP3YbJ:78ao  ogj1<7"j>MBH3 kl8A?H573Y>?'=)K I*>?<98A?<M=)BHB:78A5T57=m'KY8G?H8;<," >):  @ \ 1 



B

-#> 
 >3 ? <7EH8N?H8;<," >):  = ?8 " ?>WB8 d'36I W5l= :T=)?HBH>k dn>36?< 36?<7E8 I*>>):TB'36?H=<98 59d'=)I*8 =)?HB
<7E8 (8 'W3 59<736?b ?H>B8^<7EH=< >"`?'5G<7E8 ;>?8N36? "`EH36I"E%<7E8 dn>36?<RK63Y8A5 59d'K 3Y<75a<7E8 ;>?8 36? E'=)KYO =)?HB
=)575736b?H5>?84EH=)KYOn<9>V<7E8c?H8 " ?>WB8  - E8SBH36kl8A?H5T3Y>?&=)KY>?b "`EH36I"E&<7E8S59d'K636< >I;I;J:"5j365jITE>578A? 3 ?D=
/W' 8AB :T>JH?HB  :7>)m/36?NO =)5TEH3Y>? =)k&>?b^=)K6K#dn>57573Ym/KY8fBH36kl8A?H5T3Y>?H5  c>B8RO =)3 K6J:78A5 =:T8VEH=)?'BHKY8ABC36? <7E8
57=)kl8" =AL%mL%kl8;:7b36?Hb ;>?8A5V>)OO =)3 KY8AB ?8A36bEmn>):T5 "=:"3Y>JH5V=)BHBH3Y<73Y>?'=)KB8A573Yb? 36kldH:T>h[)8Akl8A?<75

36?HI;K JHB8`kVJHKY<73Yd/KY8`I*>>):TBH36?H=<98459d'=)I*8A5 <9>l36kld':7>h[)84BH=<7= =A[=)36K6=m'3 K63Y<ML mn8;<9<98;: :T>J<736?b kl8;<9:T36I;5 57JHI"E
=)5O >): " =:"BH36?bR<9>l<7E8S?H8A3YbEmn>): "`3Y<7E^<7E8f57k&=)K KY8A59< :T>JH?HB  <9:T36d K6=<98A?'I*L WkVJHKY<736d'KY8`dn8;8;:T5 dn8;:;>?8
=)?HBCkVJHKY<736d'KY84EH=)57ENO JH?HI*<73Y>?H5O >):`O =)JHKY<<9>KY8;:"=)?HI*8a8;<7I
F>):cdH:7> 'W36kD3Y<ML^:7>J<736?b =l<9>)dn>KY>)b3 I;=)K6KYL M598A?H573Y<736[)84I*>?'59<9:TJHI*<73Y>?N>)O <7E8V\1  " =)5 dH:78A598A?<98AB
36? $ - ( &  "`EH36I"E 365f5736kD36K6=:S<9>C<7E8D36BH8A=)54>)
O   . + +$& >)O - 57JHI"EH3YL= $ *  &j=)?'
B  2 
6 2
 +  
 . 
%  
 10 d':7>)dn>598ABDmL cb + 2 4 $  ( &  j=)ITEC?H>B8436?C\1  kl8A=)5TJ:78A53Y<75 :7>JH?'B  <9:T3Yd
B8AK6=hLN<9>D=&598;< >)OPdH:T8 MB8;<98;:Tk&36?H8AB K6=)?HBHk&=: 5 =)?HB =)I;I*>):TBH36?bK6L^d'K =)I*8A5`3Y<7598AK6O#36?N<7E8RI*>>):TB'36?H=<98
59d'=)I*8  + 3Y<7:E 57JHI"ECK6=)?HBHkD=: 5  H>):"B8;:T36?b5=:T8Gdn>57573Ym/KY8 57>&<7E8RI*>>):TBH3 ?H=<98a59d'=)I*8V365 BH3Y[W36B8AB
36?<9> '8 )JH=)K M573 ;8AB dn>):7<73Y>?'5 =)?HB 8A=)ITE]?>WB8 "`36K6K 
 >36?N<7E8adn>):7<736>?N<7EH=<`k&=<7I"E8A5c36<75K6=)?HBHk&=: 
>):TB8;:"36?b  -`EH365 kl8;<7EH>BCE'=)5 ,< " >NB:T= "`m'=)I W5;g % <`3 5 ?>)<c578AKYO  >):Tb=)?H3 A36?blmn8AI;=)JH578a>)O <7E8G?8;8AB <9>
/' <7EH8VK6=)?'BHk&=: W5 n=)?HB]36<SI;=)? I;=)JH578 = ?>? MJ'?H3YO >):Tk BH3 59<9:T3Ym'JH<73Y>? >)O ?>WB8A5436?]<7E8 I*>>):TB'36?H=<98
59d'=)I*8RKY8A=)BH36?b <9>DEH>)<`59dn>)<75 
9

 

,

 &)!  3



,(

- =d8A57<9:7L$  o* & =)?HB @ =)59<9:7L

, !  3

$ -*- &JH578^<7E8

@ ! ! =)KYb)>):T3Y<7E'k$ -)o &8('Wd'K6=)36?8AB 36? U8AI*<73Y>? o  o  o =)5
<7E8VI*>):78R:T>J<736?bD=)K6b)>):T3Y<7EHk  "`3Y<7E]kl>B'3>/'I;=<73Y>?H5 <9>^<7E8R>)<7E8;:SO_8A=<7J:T8A5c>)O <7EH8RB8A5736b?C<9>Nk&=)8
3Y<a57J'3Y<7=m'KY8 O >):GJH598&36? = BH3659<9:T36m'J<98AB]8A?[W3Y:7>?Hk&8A?< -#> 36?HI*>):Td>):"=<98lO =)JHK6<f<9>KY8;:T=)?HI*8 1-#=dn8A59<9:7L
k&=)36?<7=)36?H5 kVJHKY<73Yd/KY8^?8A36bEmn>):T5Vdn8;: 8A?<9:7L36?<7E8N:7>J<73 ?b <7=m'KY8N<9> :7>J<98C=:7>J'?HBO =)36K J:78A5  %<
8AK636kD36?H=<98A5c<7E8l?8;8AB O_>):a=NI*8A?<9:T=)KP8A?<73Y<ML O_>):fk&=d'd'36?b :78A59>J:"I*8A54<9> :T>>)<f?>WB8A5  mL =)575736b?H36?b
=N:78A59>JH:TI*8l<9> <7E8l?>WB8 "`E>598&36BH8A?<7>3 /'8;:Sk&=<7I"E8A5a<7EH8&EH=)57E [ =)K J8 >)Oj<7E8l:T8A59>J:TI*8 )8;L 36? <7E8
k&='36kVJHk ?JHkRmn8;:>)O<9:T=)36K 36?bGm/3Y<75     < 
    < 365JH578AB^<9>&K6>I;=<98a=V:78A59>JH:TI*84mL =)K659>
59<9>):T3 ?b&3Y<`=<`=D?>BH8GI;KY>598A59<`<9>D3Y<75`I"E>598A? :7>>)<c?>BH8 '3YO <7E8GK6=<9<98;:S365 =m'598A?<  -`E8;:78G=:78Rk&=)?L
kl>):78R>)dH<736k&3 A=<73Y>?H5`5TJHITE]=)5cBLW?H=)k&3 Ia?>WB8G=)BHBH36<73Y>?C=)?HB]B8AKY8;<73Y>? /59>)O_< M57<7=<98Vd/Jm'K6365TEH36?b =)?HB
57Jd'd>):T<736?b kl>)m/36KY8D:T8A59>J:TI*8A5 #"`EH36I"E =:78N<9>> 36?[)>K6[)8AB <9> B8A5TI*:T3Ymn8^E8;:T8 =)?HB<7E8 36?<98;:T8A59<98AB
:78A=)B8;:c365:78;O 8;:7:78ABN<9> $  *o *& 



 


  









FP3YbJ:78So  qg -#=dn8A59<9:7L m'=)598ABD>?D<7E8 @ ! ! :7>J<73 ?bG=)KYb)>):T36<7EHk  ! >J<736?HbaO_:T>k ?>WB8  )o qa<9>V?>WB8
q ( &3 557E> "c?CE8;:78  @ =)59<9:7L 365`=l5736k&36K =:57L59<98Ak <7EH=<`JH578A5dH:78 /'  m'=)598ABN:T>J<736?b 

@ =)59<9:7L JH578A5 dH:78 /'  m'=)598AB :T>J<736?b 36?'59<98A=)B >)O 57J$ '  m'=)598AB =)5 36? - =d8A57<9:7L   =)I"E ?>WB8
k&=)36?<7=)36?H5S= 
!;< 2 
  2 598;<f=)?HB = 6 
  598;<f36? =)BHBH3Y<736>? <9>N<7E8 :7>J<73 ?bD<7=m'K68 =)5Sdn8;:4<7E8
@ ! ! =)KYb)>):"3Y<7EHk  -`E8C?8A3YbEmn>):TE>>B 598;<D>)O4= ?>BH8CI*>?H573659<75&>)O4=%b):7>Jd >)Of?>WB8A5l<7EH=< =:78
I;KY>598A57<R<9> 3Y<R=)5Rdn8;:G<7E8 dH:7> 'W36kD3Y<ML kl8;<9:T3 IS <7E8;L E8AKYd <7E8 ?H>B8D<9> I"E>>578^<7E8 I;KY>598A59< ?>WB8A5
<7EH=<l57=<73657O_L <7E8N:7>J<736?b <7=m'KY8 I*:T36<98;:T36=  - E8 KY8A=Oc598;< 365V<7E8 598;<l>)Oc?H>B8A5 "`36<7E <7EH8  o
?JHkl8;:T36I;=)K KYL MI;K6>598A59< K6=:7b)8;:&36B8A?<7>3 /H8;:"5 =)?HB<7E8   o ?JHkl8;:"36I;=)K6KYL MI;KY>598A59< 57k&=)K KY8;:l36B8A?<73>/H8;:T5
:78AK6=<736[)8S<9> <7E8f?>WB8 * 5> "`? 36B8A?<7>3 /H8;: 1%O+<7E84:7>J<736?HbR<7=m'K684?H>B84365?>)<=)I;I*8A575736m'KY8 W<7E8fI;J:7:78A?<
?>WB#8 "c36K6KO >): "=:TBR<7E8 k&8A5757=b)8<9>4>?8j>)O'<7E8 K68A=O'598;< ?>WB8A45 "cE>59836B8A?<7>3 /H8;:d':78 /'Gk&=<7I"E8A5P<7E8
<7=:7b)8;<f36? <7E8V5T=)kl8V?JHkRmn8;:`>)Om'36<75`=)5S<7E8 I;J:7:78A?<c?>WB8 m'J< "`E>598V36B8A?<7>3 /H8;:c3 5`?JHkl8;:T36I;=)K KYL
I;KY>598;:^<9> <7EH=<^>)O4<7E8C<7=:7b)8;<  - E'365 dH:7>WI*8ABHJ:78 8A?'57J:78A5l<7E'=<D<7E8C:T>J<736?b%=)>K "=ALW5 I*>?[)8;:7b)8A5 
<7E>JbE ?>)<`?8AI*8A575T=:T36KYL^8 $DI;3Y8A?<7KYL 
e >)<7E @ =)57<9:7L =)?HB - =dn8A59<9:7L I;=)? (8 'Wd'KY>3Y<l<9>)dn>KY>)b)L mLdH:7> 'W36kD3Y<ML?8A3YbEmn>):D598AKY8AI*<73Y>? 3  8  
ITEH>>573 ?bC<7E8 2 
%  ?>WB8 @ =)5adn8;:a<7EH8&dH:7> 'W36kD3Y<ML kl8;<9:T36I B #>J<a>)O=)K6KP<7E8Dd>5T573Ym'KY8 ?8A3YbEmn>):T5
"`3Y<7EN=dHd':7>)dH:T36=<98fk&=<7I"EH36?b&3 B8A?<73 /H8;:T5 1% O#<7E8f8A?<73Y:78 k&=<9:T3 '"`3Y<7E <7E8aK6=<98A?'I*L^>): BH3 59<7=)?HI*8
[=)K6J8A5lmn8;,< " 8;8A? =)K6K ?>BH8A5l365l=A[=)36K6=m'K68 j<7E8A? <7E8 mn8A59<&?8A3YbEmn>):&I;=)? 8A=)5736KYLmn8 ITE>598A? <9>
57Jd'd>):T<dH:7> 'W36kD3Y<MLl:7>JH<736?(b 8 $DI;3Y8A?<EH8AJ:T3659<73 I;5 I;=)?N=)K659>Vmn8cJH598AB^O >):?H8A3YbEmn>): 598AKY8AI*<73Y>?N36?^<7E8
=m'598A?'I*8f>)O#<7EH3 5 kD=<9:T3 ' F:7>k <7E8A36:(8 'dn8;:T36k&8A?<7=)K:78A57J'KY<75  @ =)59<9:7LNB>8A5 d'=:7<736I;JHK =:TKYL " 8AK6K "`3Y<7E
d'=<7EH5<7E'=< =:78f>?HKYL^qp  
p  K6>?b)8;:<7EH=)?N<7E8f36B8A=)K:7>JH<98A5  c>" 8;[)8;: 'mn>)<7EN57ITEH8Akl8A5 " 8A3YbE
dH:7>)b):T8A575436? <7E8V3 B8A?<73 /H8;:S57d'=)I*8 [)8;:T57JH5S<7E8 dH:7>)b):T8A575436? <7E8Rd':7> '36k&3Y< L 59d'=)I*8  <7EJH54k&= W36?bN3Y<
JH?HI;K68A=: 3YO#<7E'365365<7E8amn8A59< =d'dH:7>=)ITE <9>D=)ITE'3Y8;[)8 0 2 
6 2 dH:7> 'W36kD3Y<ML^:7>J<736?b 








-

 



 4/'



\ E>):"B $ * o & dH:T>h[W36B8A5S=^EH=)5TE  <7=m'KY8VO J'?HI*<73Y>?H=)K636<MLNmL]k&=dHd'36?Hb kD=)ITEH36?H8A5@ J'5736?b I*>?H573659<98A?<
EH=)57E'36?b $ , & B <9>R36B8A?<73Y<73Y8A5>)O+KY>)b m/3Y<75 d'K6=)I*8AB^=:7>JH?HBD=  &  + / +2   =)I"E^?H>B8 59<9>):T8A5
= dn>36?<98;:<9>D3Y<7536k&k&8ABH36=<98   
  3  8  <7E8aI;KY>598A59< ?H>B8f36?N<7EH8aI;KY>I  "c36598fBH3Y:78AI*<736>? =)KY>?b
<7E8DI;36:TI;KY8  %? =)BHBH3Y<73Y>? +3Y<a=)K659>Ck&=)3 ?<7=)36?'5f=
 < 
  
6 
 "`36<7E KY>)b 8A?<9:T3Y8A5a5TJHITE <7E'=<a<7E8
#  <7ED8A?<9:7Ll59<9>):T8A5 <7E8`36BH8A?<73Y< LR>)On<7E8 5TJHI;I*8A5759>):j>)O - o   >?&<7E8 3 B8A?<73 /H8;:I;3Y:TI;KY8 P1S?l(8 'W=)k&d'KY8
>)O <7E8A598Rdn>36?<98;:"5`365c57E> "c?]36? F 36bJ:78Vo  
  =)ITE :78A57>J:TI*8R3 5`=)K659>^k&=dHdn8AB JH5T36?b&EH=)57E'36?b&>?<9>
<7E8N36B8A?<7>3 /H8;:VI;3Y:TI;KY8N=)?HB59<9>):78AB=< <7E8 /':T59<R?H>B8N57JHI;I*8;8AB'36?b <7EH8NK6>I;=<73Y>? <7EH=<l3Y<Vk&=d'5V<9> 
! >JH<736?b]3 5GB>?8^b):78;8ABH36K6L <9> <7E8^O =:7<7EH8A59<Gdn>575736m'KY8&?>WB8^3 ?%<7E8^:7>J<736?b <7=m'KY8  =)?HB3Y<G365V?>)<
EH=:TBN<9> 598;8a<7EH=<`<7EH365b3Y[)8A5c=l<9>)<7=)K+>)O  @ K6>)b B :7>J<73 ?blE>)d'5dn8;:`598A=:"ITE  F'J:7<7E8;: /I*>?H573659<98A?<
EH=)57E'36?bl8A?H57JH:78A5 <7EH=<4?> ?>BH8G365 :T8A59dn>?H573Ym'K68SO >):ckD=)36?<7=)3 ?H36?b&kVJHITE kl>):78R<7EH=)? 3Y<75 O =)3Y:c5TEH=:78
>)OP:78A59>J:"I*8A5 






SUCCESSOR

LIVE NODES
15

0

1

14

2

13

ABSENT
NODES

FINGER TABLE
POINTERS

3

12

4
5

11
6

10
9

7

FP3YbJ:T8Go  
g#- E8 /'?Hb)8;: <7=m'KY8fdn>36?<98;:T5O >):`?>WB8fp&36? \EH>):TB
8

F >): O =)JHK6<^<9>KY8;:"=)?HI*8 c8A=)I"E ?>WB8 k&=)36?<7=)36?H5N= #  +
 2 / "cEH36ITE I*>?H573 59<75N>)OG<7E8 ?8('W<
598;[)8;:T=)K#57JHI;I*8A5757>):c?>WB8A5H36?'59<98A=)B >)O =D573 ?bKY84>?8  -`E8;>):78;<736I;=)K:78A57JHKY<75=mn>J<`<7E8adn8;:7O >):Tk&=)?HI*8
>)O \E>):TB 36? <7E8RdH:78A598A?HI*8G>)OI*>?HI;J:7:78A?< 
 >36?H5 =)?'B 36?[)>K6JH?<7=:7LNB8;d'=:7<7J:T8A5`I;=)? =)K 59>Dmn8fO >JH?HB
36? $ * *o & 
WU >kl8 59L57<98Ak&5lJH598NI*>?H573657<98A?<lEH=)57E'36?b 6K 3 )8C\E>):TB O_>):&K6>=)B m/=)K6=)?HI;36?b :78A59>JH:TI*8A5
=)I*:7>575^=)? =)I*<73Y[)8 598;<&>)Of?>WB8A5V`EH>" 8;[)8;:^<7E8;L JH578 BH3 %n8;:78A?<&I*>?H?8AI*<73Y>?H5Dmn8;<," 8;8A? ?>WB8A5lO >):
:7>J<73 ?b 
 
! 6 ; $ *p & EH=)5f<7EH8^57=)kl8^B8A573Yb?%=)5l\E>):"B +(8 'I*8;dH<RO >):a<7E8 BH3659<7=)?'I*8Dkl8;<9:T36IS 3Y<aJ'598A5
<7E8 ! [=)K6J8`>)O<7EH8`,< " >R?H>B8c36B8A?<7>3 /H8;:T5 36?&<7E8`>,[)8;:TK6=AL&?H8;,< " >):  jZc?HK 3 )8c\E>):TB <7EH365kD=)8A5
& 0; 

op

<7E8aBH3 59<7=)?HI*8fmn8;<," 8;8A?C=)?L^<7"j> ?>BH8A559LkDkl8;<9:T36I1S? =)B[=)?<7=b)8R>)O#<7EH3 5?8;<," >): N365<7EH=< 8A=)I"E
?>WB8lI;=)? I"E>>578D3Y<75a?8A36bEmn>):T5SO :7>k =N:T=)?b)8D>)Ojdn>575736m'KY8 ITE>36I*8A54"`EH3 ITE k&=)8A5G<7E8&?8;<," >): 
O =)JHKY<<9>KY8;:T=)?< '=)?HB =)K6KY> "c5 3Y<<9>D=)BH=d'< <9>DITE'=)?b)8A5`36?N<7EH8G?8;<," >):  I*>?HBH36<73Y>?H557JHI"EC=)5`K =<98A?HI*L 
mL I"E>>5T36?b&BH3 %n8;:78A?< ?>WB8A5<9>&:7>JH<98a<9> 
 4 :2  $  - &JH598A5a=CdH:7>)m'=m'3 K63659<736IV57I"E8Akl8DO >):Gk&=)3 ?<7=)36?'36?b <7E8DK 36? W5f36? = \EH>):TB MK63 )8
m'=)598f59LW59<98Ak g -`E8cd':7>)m'=m'36K 3Y<ML >)O#= K63 ? lmn8;,< " 8;8A? ,< " >&?>WB8A
5 C=)?HB D36536?[)8;:T598AKYL&d':7>)dn>):7<73Y>?H=)K
<9> <7E8VB'3659<7=)?HI*8Rm8;7< "j8;8A? <7E8Ak  - EH3 5 57ITEH8Akl8V3 5c573 k&36K6=:<9>N<7E8R>?8 " 8V(8 'd'K =)36?C36? \EH=dH<98;:fq 
m'J< J'?HK63 )84JH5 <7E8;L B>&?H>)< b3Y[)8G=)?H=)K6L<736I;=)Kn:T8A57JHKY<75O >):`O =)JHKY<<9>KY8;:T=)?'I*8 
 ;
   $   &GkD=)36?<7=)3 ?H5N= I*>?H59<7=)?< MB8;b):78;8 GKY>)b=:"3Y<7EHk&36I MB'36=)kl8;<98;: =dHdH:7> 'W3 k&=<73Y>? <9> =
m'J<9<98;: HL?H8;,< " >): O_>):^:7>J<736?b  %<&:78AB'JHI*8A5l<7E8 57d'=)I*8Cdn8;:D?>WB8 <9> =)? (8 'dn8AI*<98AB  @  B K636? 5
mL <7E8NI;KY8;[)8;:DJH578^>)Ocm'J<9<98;: HL :7>J<736?b 36?<7E8 K6=)59< 59<7=b)8A5l>)OS= 578A=:TITE >)dn8;:T=<736>?  `>"j8;[)8;: 
36kld':7>h[W36?b <7E8&O =)JHKY<4<9>KY8;:T=)?'I*8&>)O 5TJHITE%= ?8;,< " >):  "`EH36K68Vk&=)3 ?<7=)36?'36?b <7E8&KY> "59<9>):T=b)8^3 5f59<736K6K
=)? >)dn8A? )J8A59<73Y>? 
 
 $  ( &+8AkRm8AB'5 =lBH8 e :TJ'3 
 ? b):T=d/EN>?N<7E8G\E>):TBN36B8A?<7>3 /H8;:I;3Y:"I;KY84O_>)::7>JH<736?b   =)I"E
?>WB=8 "`36<7E&=   m'3Y< 3 B8A?<73 /H8;: 1 1   1  365 I*>?H?H8AI*<98ABD<9> ?>WB8A5 "`3Y<7ED36B8A?<7>3 /H8;:T5 1   1  1 Tp
=)?HB 1   1  1    - EH365 b3Y[)8A5C= 5T36k&36K6=: `I*>?H59<7=)?< MB8;b):78;8B8A573Yb? K63 )8 436I*8;:7>,L m'J< 3Y< 365
:78AK6=<736[)8AKYL 8A=)5T3Y8;:D<9>I*>?H59<9:TJHI*<^=)?HB <7E8]O =)JHK6<l<9>KY8;:T=)?HI*8 I;=)? mn8C36kldH:T>h[)8AB mL 36?HI*:78A=)573 ?b <7E8
B8;b):78;8G<9>  




H




*







%

!   4! Y  :

O



%

U >kl8 >)O <7E8 2 - 59LW59<98Ak&5 =:78 d'=:7<7KYL :T8A5736K63Y8A?<a<9> :T=)?HB>k ?>WB8DO =)36K6JH:78A5 m'J<G<7EH8A3Y:Rdn8;:7O >):
k&=)?HI*8lk&=hL mn8Vm'=)BHKYL 3 kld'=)3Y:78AB mL]=)B[)8;:T57=:T3 =)K BH8AKY8;<73Y>? >)Oj?>WB8A5 fFP36=< + 2 4 $ q* &36?<9:7>WBHJHI*8AB
I*8A?H59>):"57EH3Yd  :T8A573659<7=)?<`?8;<7"j>): W5 "`EH36I"E =:78R:78A5736K6368A?<<9> =)B[)8;:T57=:T3 =)KB8AKY8;<736>?C>)O=DI*>?'59<7=)?<SO :T=)I 
<73Y>? >)OG<7EH8 ?>WB8A
5 S57JHITE <7EH=< kl>57< >)OR<7E8 :78Ak&=)36?'36?b K636[)8 ?>WB8A5NI;=)? =)I;I*8A575Ckl>57< >)OR<7E8
:78Ak&=)3 ?H36?b BH=<7= 3Y<98Ak&5  + 3Y<7E ?>WB8A5f36?]<7E8l?8;<," >):  +<7E8&?8;<7"j>): ]<9>)dn>KY>)b)L 365Sm'=)598AB >? =
m'J<9<98;: HLa?8;,< " >): R>)O'B8;dH<7E @ KY>)b KY>)bjKY>)b B  "`E8;:78j8A=)ITEl?>WB8 :78;dH:78A578A?<75P=S598;<#>)O/dn8;8;:T5)=)?HB
8A=)ITE%d8;8;:4I;=)? mn8V= kl8AkRmn8;:S>)OjkRJHK6<73Yd'KY8V?>BH8A5 S1S? (8 'd/=)?HB8;:4b):T=d'E 365Sk&=)36?<7=)36?8AB]mn8;,< " 8;8A?
=)?L 7< "j>^I*>?H?8AI*<98AB ?>BH8A5>)O <7EH8a?8;,< " >): C=)5 57EH> "`?C3 ? F 36bJ:78Go  


+ hj .OuS2
u.1J~7R.19k=1J;46N.-9~2pDF.i0[C>
J 0 j 20E4<9J;> NFQR9*0EQFuL0;>7R.15<.i0;4<> D:>
@ j 2
56@ 0 j .ODR>a7R.-9-sBNRQR04r0E=82
D:N.Ol .-DF.1J32
564<z1.87
0;>2
Dam%2J;NF4r0kJ32
Jkm@PJ32
=10;46>MD > @(7R.-56.10;.87%DF>a7R.19-€

o

EXPANDER
GRAPH

BUTTERFLY
NETWORK

KY>)b
FP3YbJ:78So gj\ 8A?H59>):T5TEH3Yd  :78A5T3659<7=)?<?8;<," >): g m'J<9<98;: HLl?8;<7"j>): l>)O+B8;dH<7EDK6>)b
8('Wd'=)?HB8;: b):"=d'EH5mn8;<," 8;8A? ?>WB8A5 




K6>)bjKY>)b

K6>)b KY>)b "`3Y<7E

]JHKY<73Yd/KY8fI*>)d'3Y8A5

>)OP<7E8VBH=<7=&3Y<98AkD5`=:78V59<9>):78AB 3 ? <7E8G?>WB8A5 3 ? <7E8Gmn>)<9<9>kMk&>59<cKY8;[)8AK#=)?HB
598A=:TI"E8A54=:78G:"JH?C36? d'=:T=)K6KY8AK+O_>):S=)?LCI*>)dLC>)O=DB'=<7=D3Y<98Ak  j=)ITE 598A=:TI"E <7=)8A5  @ KY>)b B<736kl8 
 @ K6>)b Bk&8A5757=b)8A5=)?H
B  @ KY>)b B57<9>):T=b)84d8;:?>WB8  - E8S=)J<7E>):T5=)K659>Vb3Y[)84=    / 
[=:T36=)?<&>)Of<7EH365&5TITE8Akl8 "`EH36I"E :78 )JH3Y:78A5D=)BHBH3Y<73Y>?'=)K 59<9>):T=b)8 59d'=)I*8 =)?HB kl8A575T=b)8A5="`E8;:T8C<7E8
=)B[)8;:T5T=:7L]I;=)? <7= )8&I*>?<9:7>KP>)OjJHd <9> EH=)K6O>)O <7E8l?>WB8A5 n=)?HB L)8;<4mn8VJ'?H=m'KY8V<9>Nb)8A?8;:T=<98lO =)K6598
BH=<7=f3Y<98AkD5 1-`E8k&=)36?lB:T= " m'=)I R>)O/<7EH365 B8A5736b?V3 5P<7EH=<3Y< I;=)?l57J:7[W3Y[)8>?HKYLR=f59<7=<736I=<9<7=)I  =)?HB
I;=)?H?>)<jmn8`BLW?H=)k&36I;=)K6K6LRk&=)36?<7=)36?8AB^=)5jk&>):78`?>WB8A5 
 >36?D<7E8`?8;7< "j>):   U>k&8 (8 '<98A?'573Y>?H5 >)O <7EH365
:78A57J'KY< O_>):BLW?H=)k&36IkD=)36?<98A?'=)?HI*8cI;=)?^mn8`598;8A?D3 ? $  p*o &=)?HB $ *o *& )`>"j8;[)8;: <7EH8cI*>?H59<9:"JHI*<73Y>?&>)O
57JHI"E&?8;7< "j>): W5365P[)8;:TLVI*>kld/KY(8 ' =)?HB&3Y< 365 59<73 K6KW=)?l>)dn8A? )J8A57<73Y>? <9>GBLW?H=)k&36I;=)K KYLak&=)36?<7=)36?l57JHI"E
=l?8;7< "j>):  "`EH8A?^<7EH8a573 ;8aITE'=)?b)8A5 mL^=)? >):"B8;:>)O kD=b?H3Y<7JHB84<9>D?H8;8AB =l?8 " KY8;[)8AK >)O m'J<9<98;: 'L
K636?  =b)8 41 5736k&d'KY8;:`B8A5T3Yb? >)Oj= 2 -5"`EH36I"E 365cdH:7>,[ =m'K6L O =)JHK6<  <9>KY8;:T=)?<S<9> )
  * # 2  "=)5
:78AI*8A?<7KYLNb3Y[)8A? mL S=>):  2 4 $  
,& 


H




Y y$

- E8;:T8G=:78R57>kl8a>)<7E8;:Sdn8;8;: <9> dn8;8;:S59LW59<98Ak&5`<7EH=<`8A36<7E8;:`8AK63 k&36?H=<98a?H=)k&8A59d'=)I*8G[W3Y:7<7J'=)K63A=<73Y>?
>):lJH598NELmH:T3 B 59LW59<98Ak&5 `" EH3 ITEEH=A[)8 = KY8A575R:T3Yb36B 59<9:TJHI*<7JH:78 I*>k&d'=:78AB<9> 2 - 5 m/J<Rd':7>h[W36B8
mn8;<9<98;: 598A=:TITE 8 D$ I;368A?HI*L I*>kld'=:T8AB <9><7E8 H/ :T59< b)8A?H8;:T=<73Y>? 59LW59<98Ak&5 57JHITE =)5CQ4?J<98AK6K6=  + 8
8(W' d'KY>):78a59>k&8a>)O#<7EH8A598GB8A5736b?H536?N<7EH365`598AI*<73Y>?H5 

o)o

 


/1("40 *,






&



!34

&)6




   -#8;:7:T=)243Y: $  ,p -   
  ( o &P365c=D:T8AI*8A?<f59LW59<98Ak <7EH=<4dH:7>h[W36B8A5c=^B'3Y:78AI*<9>):7LCKY>> WJd O >):
 5TJHITE]=)5 2 4UC?H=)kl8A5 >):cZc?H3>'/'K68a59L57<98Ak ?H=)kl8A5'=)5>)dHdn>598AB <9>^<7E8
$&  $& 2      

'=<?H=)kl8A59d/=)I*8A5j36?^2 - 5 j\=)ITEH3 ?bR=)?HB^:78;d'K 36I;=<73Y>?&=:784E8A=h[36K6L&JH598AB&O >): m>)<7E^O =)JHKY<<9>KY8;:"=)?HI*8
=)?HB]:78ABHJHI*<736>?C>)O )J8;:7L K6=<98A?HI;3Y8A5  `>WB8A5S=<SEH8A3YbE<$# 3 ?C<7E8VEH3Y8;:T=:TI"EH36I;=)K#?H=)kl8A59d'=)I*8V<9:78;8 =:78
:78;d'K 36I;=<98AB  @,# B4<736kl8A5 +59> <7EH=<f<7E8l:7>>)<a3654:78;d'K 36I;=<98AB  @ KY>)b Bc<736kl8A5 @;"c3Y<7E ?>BH8A5f36? <7E8
?8;7< "j>): &B "`EH3 KY8 <7E8fKY8A=h[)8A5EH=A[)8 
 JH59<j>?84:78;d'K636I;=  j=)ITE ?>WB8c3 5j:T8;d'K636I;=<98AB^:T=)?HB>kDKYL&=<>)<7E8;:
?>WB8A5 =)?HBN8A=)I"ECd'=:78A?< k&=)36?<7=)36?H53 ?O_>):"k&=<73Y>?N=mn>J<=)K6Kn<7E8f:78;d'K 36I;=)5 >)O#8A=)I"EC>)OP3Y<75ITEH3 K6B:78A? 
! >JH<736?b%365ldn8;:7O >):Tkl8AB mLb)>36?b 9Jd %36? <7E8C<9:78;8 JH?<73 K<7E8 KY>?b)8A57<DI*>k&kl>? dH:78 /'>)O4<7E8
59>J:"I*8G=)?HB BH8A59<736?H=<73Y>? 365:78A=)I"E8AB n=)?HB <7E8A? b)>36?b 9B> "`? ^JH?<73 Kn<7E8RB8A57<736?H=<73Y>?C3 5:78A=)ITEH8AB 
F>):(8 '=)kld'KY8 W=)557E> "c?^36?^FP3YbJ:784o  ( W=V598A=:TI"E O_:7>k
V<9>
b)>8A5Jd^<73 K6K D=)?HB
<7E8A?CBH> "`? <9>D<7E8GB8A59<73 ?H=<73Y>? 











j=)ITE







F 36bJ:78Go  ( g `! >J<736?b&36?-#8;:7:T=)243Y:`O_:7>k



&<9>

  





? >WB8R=)K 59> I;=)K I;JHK6=<98A5S<7E8 BH3659<7=)?HI*8R<9>N<7E8R<7=:Tb)8;<SO :7>k =)K6K<7E8Rdn>575T3Ym'KY8a:T8;d'K636I;=)5`<7EH=<
3Y< k&=)3 ?<7=)36?'5 =)?HBCI"E>>578A5`<7E8RI;KY>598A59<'K 3Y[)8f>?8G<9>^36kldH:7>,[)8a:7>J<73 ?b  1S5<7E8G?H=)k&8A59d'=)I*8R3 5 ?>)<
[W3Y:7<7JH=)K63 ;8AB /59d/=<736=)KPKY>I;=)K 3Y<MLC365Sk&=)36?<7=)36?8AB  "cEH36ITE 57Jd'd>):T<75`?>?  dn>36?< )J8;:T368A5c57J'ITE =)5

e J< <7EH365 57JdHdn>):7<3 5+>?HKYLfd/=:7<736=)Km8AI;=)J'598 36OH=`:78 )J8A59< 365 598;:7[W36I*8ABGO :7>k059>kl8 :78;d'K 36I;=`=)?HBV?>)< <7E8
>):T3Yb3 ?H=)KH?>WB8 <7EH8A?D3Y< kD=AL&mn8 dn>575736m'KY8<7EH=< <7EH8c=)BHB:T8A575O >): <7E8S?(8 'W<jBH=<7=R3Y<98Ak3 5?>)< W?> "`? 
FHJ:T<7E8;: <7E8;:78 =:78V=)5SL)8;<f?>^dH:7>h[=m'KY8VbJH=:T=)?<98;8A54>? KY>=)B m/=)K6=)?HI;36?b =)?HB]O =)JHK6<`<9>KY8;:T=)?'I*8RO >):
<7EH365?H8;,< " >):  




 0 
1  
   
  FH:78;8ABHk&=)? + 2 4 $ q**&#JH598G=DBH3659<9:T36m'J<98AB <9:T3Y8 $ o*- q (  (  &<9>^57JHdHdn>):7<?>? 
dn>36?< ) J8;:T368A5V#<7EH8 )8;L5R=:78Dk&=)36?<7=)36?8AB 3 ?%=N<9:T3Y8 "`E'36ITE%3 5fBH3659<9:T36m'J<98AB =)kl>?bC<7E8Dd8;8;:"5aB8 

dn8A?HBH36?HbD>? <7E8A36:a=)I;I*8A575GKY>WI;=)K63Y< L lZ`d BH=<98A5a=:T8&B>?8lK6= A36KYL]mL]d'3Yb)b)Lm'=)I W36?bC3 ?O_>):"k&=<73Y>? >?
)J8;:7L<9:T0= $DI - E'365&=)KYb)>):T36<7EHk :78ABHJ'I*8A5D<7E8]kl8A5757=b)8 <9:T=0$DI]I*>kld'=:78AB <9> H>>WBH36?b m'JH<DI;=)?
o)q

B8;b)8A?8;:"=<98G<9>D=lm':7>=)BHI;=)59< O >):`=)K6K ?H>B8A5="`3Y<7E 59<7=)KY8f[W3Y8 "`5 >)O#<7E8R?8;<," >): 


 89 :
 
  U W3Yd c8;<j3 5j=)?>)<7EH8;:?H>?  [36:7<7JH=)K63;8ABD59L57<98Ak W[)8;:7LD5736kD36K6=: 36? 59d'36:T3Y<<9> 5W3Yd^b):"=d'EH5
<7EH=< " 8`B 8A5TI*:T3Ymn836?D\EH=dH<98;: 
  "`EH3 ITE "=)5 B8;[)8AKY>)dn8AB&3 ?HB8;dn8A?HB8A?<7KYLamL S=:7[)8;L  2 4 $   &  + 8
8AK6=mn>):T=<98a>?C<7E8GBH3 %n8;:78A?HI*84mn8;<," 8;8A?C<7EH8a<," >^59LW59<98Ak&5`36? U8AI*<73Y>? 
  
 
 




3 *
 2 34! &)6




  X =d'd8;:"5$ 
o &nEH=)5 =)?^JH?H59<9:TJ'I*<7J:78ABl?8;<7"j>): &K 3 )8SQ4?J<98AK6K6=am'J<36?<9:7>WBHJHI*8A5EH=)5TEH36?b
O >):59<9>):T36?b ) 8;LW5   =)I"E&k&=)ITE'36?8 
 365P=)575736b?8ABV>?8>)O1 
 2 
  m/=)598AB >?l3Y<75% @ =)BHB:78A575Ag#I*>KY>): @ 
 B
&:1:

 E'=)57E4@;% @

@ B B kl>B 1  j =)ITEN?>WB8`k&=)36?<7=)36?H5 36?O >):Tk&=<73Y>?&=mn>J< =)?



(

     0 $ 
 $ 
 


"`EH3 ITEGI*>k&dH:T36598A5+>)OH=)K6K?>WB8A54"`3Y<7EH36?G=`I*>?H59<7=)?<P?JHkRmn8;:+>)O:7>J<73 ?b`E>)d'5O_:T>k 3Y<7578AKYO ! 8A59>JH:TI*8A5
=:78a59<9>):T8AB =< ?>BH8A5 c" E>598fI*>KY>): k&=<7I"E8A5<7E8aEH=)5TE^[=)K6J84>)O#<7E84:78A59>J:TI*8 )8;L '57>&598A=:TITEH8A5 =:78
>?HKYL O_>):" =:TB8AB<9> ?>WB8A5V>)O`<7E8N57=)kl8 I*>KY>):  + E'36KY8D<7E'365 36kldH:7>,[)8A5V<7E8Nd8;:TO_>):TkD=)?HI*8^>)Oc<7E8

Q4?J<98AK6K6=f578A=:TITE3Y<B>8A5?>)< b3Y[)8c=)?L dH:7>,[ =m/KY8bJH=:T=)?<98;8A5>?l:T>J<736?bf<736k&8>): KY>=)Blm'=)K =)?HI;36?b 


 6 ;:  f 8AK63Yd/5 $ 
 *&H365 =fELmH:T3 BR59LW59<98Ak mn8;<7"j8;8A?&=f2 - =)?HBl=f57JHd8;:  d8;8;: ?8;<7"j>):   "cE8;:78
?>WB8A5=:78aI;K6JH57<98;:78AB 36?<9>  @ B  
   <   : J'5736?b EH=)57EH3 ?b   =)ITE ?>BH8S:T8A598AkGm/KY8A5 =
57Jdn8;: dn8;8;:mL k&=)3 ?<7=)36?'36?bR3 ?O_>):"k&=<73Y>? =mn>J<=)K6Kn<7E8a?>WB8A5=)?HBN:T8A59>J:TI*8A5 3 ? 36<75>"`? b):T>Jd 
=)?HB >?8 I*>?<7=)I*< O :7>k08;[)8;:7LV>)<7E8;:b):T>Jd Ud'=)I*8:78)JH3Y:78Ak&8A?<Pdn8;:?>WB8365  @  B =)?HB :T>J<736?b
<7=) 8A5  @  B <736kl8 `Zcd BH=<98AB ?H8;<," >):  36?O >):Tk&=<736>?C365cdH:7>)d'=b=<98AB JH5736?Hb&b)>57573Yd]dH:7>)<9>WI*>K65cb3Y[)8A?
mL a8Akldn8 + 2 4 $ ( q & F>):4K6=:7b)8;:cd8;8;:  <9> d8;8;:S59LW59<98Ak&5/ <7E8G59d'=)I*8V=)?HBCk&=)3 ?<98A?H=)?'I*8RI*>59<75S=:78
dH:7>E'3Ym'3Y<73Y[)8AK6L&EH3YbE =)?HB :T>J<736?b&k&=hLNO =)36K B'J84<9>D59<7=)KY8a:T>J<736?b <7=m'KY8A5 
H

A$

*:

ao4

U >^O =: " 8VEH=h[)8l598;8A?]BH8A573Yb?H5c>)Odn8;8;: <9> dn8;8;:S57L59<98AkD5S=)54= "`E>KY8Rm'J<c:78A598A=:TI"E E'=)5c=)K657>^mn8;8A?
B>?8 >? 59dn8AI;3>//I O_8A=<7JH:78A5D>)O4<7E8A578 59LW59<98Ak&5^57JHI"E =)5 36kldH:T>h[)8AB 578A=:TITE <98AITEH?'3 )JH8A5D=)?HB KY>=)B
m'=)K6=)?'I;36?b 

o


 




&+, 





&

*(  4
 &)

 
 6 6 ;< 
   4<  %? $  o  &  <7E8G=)J<7E>):"5`dH:T>)d>578a<7E:78;8VBH3 %n8;:78A?<c598A=:TITE]<98AITE'?H3 )J8A5 O >):
Q4?J<98AK6K6= 3 ?H59<98A=)B%>)O?H= 6[)8 H>>BH3 ?bN>?%<7E8D?H8;<," >): /g @ 3 B 8 +)   & (/10 `" EH8;:78&kRJ'KY<73Yd'KY8
mH:78A=)B  H/ :T59<&598A=:"ITE8A5^=:78 36?H36<736=<98AB `" 3Y<7E 5TJHI;I*8A57573Y[)8AK6LK6=:Tb)8;:^B8;dH<7E K 36k&3Y<75C@ 363 B / 5  !
"`E8;:T8a<7E8Gm':78A=)B<7E  H/ :"59<`598A=:TI"E 36?HI;K6JHBH8A5>?HKYLN<7E>598V?8A3YbEm>):"5=`" EH3 ITECEH=h[)8Rdn8;:7O >):Tkl8AB j" 8AK6K#36?
<7E8ad/=)59</=)?HB @ 36363 B ]=)36?<7=)36?H36?b 2 
 2 & 1 =<c8A=)ITE ?>BH8a=m>JH<`=)K6K <7E8G>)<7E8;:c?>WB8A5 c" 3Y<7EH36?
= I*8;:T<7=)36? /' 8AB :T=)BH36JH5a<9> dH:7>WI*8A575G<7E8 ) J8;:7L >? <7E8Dmn8AEH=)KYO >)O =)K6K?H>B8A5 `" 3Y<7EH3 ? <7EH=<R:"=)BH36JH5 
1 <98AITEH?H3 ) J8 573 k&36K6=: <9> @ 36363 BD3  8  fk&=)36?<7=)36?H3 ?b    4< 1;
 `" EH3 ITE <7=)8 36?<9> =)I;I*>JH?<











36?O >):Tk&=<736>? =mn>J<a?H8A=:G?8A3YbEmn>):T5f=)?HB <7E8D?JHkRmn8;:S>)O:7>JH<736?b E>)d'54<9>C:T8A=)ITE%<7EH8Ak I;=)?%mn8
598;8A?N36%? $ *o  &  + E'36KY8 <7E8A578S57I"E8Akl8A5 dn8;:7O >):Tk kVJHITE^mn8;<9<98;:<7EH=)?D<7EH8`m'=)573 I H>>B'36?ba<98AI"EH?H3 )J8`>)O
Q4?J<98AK6K6= )<7EH8;LR=:78?>)< [)8;:7LV=dHd'K63 I;=m'KY8 <9>ak&>):7859>)d'EH3657<736I;=<98AB 59L57<98Ak&5P<7EH=<P8AK636k&3 ?H=<98 '>>WBH36?b
=)KY<9>)b)8;<7E8;: 

 
 4 4<  c=:7:T8A? + 2 4 $  p*& B8A57I*:T36m8 = 59dn8AI;36=)K 36?HB8('36?b 57ITEH8Akl8 4/H:"59<S3 ?<9:7>WBHJHI*8AB 36? + 3Y<
<98A? + 2 4 $ * -*& /O >):cd/598AJHB> )8;L "j>):"B]598A=:"ITEH36?Hb^36?C2 - 5 j=)ITE )8;L N365`57d'K63Y<`3 ?<9>   b):T=)kD5 Wg


BH3657<736?HI*<) MKY8A?b)<7ED5TJm'59<9:T3 ?b5=)?HB^=)?^36?'B8('V>)On<7E8cO_>):"k@ =  B 365kD=)36?<7=)3 ?8ABlO >):j8A=)I"E
  b):T=)k  1 598A=:"ITE O >):&= :78A59>J:TI*8 365 =)K657> BH>?8 JH5736?b <7E8 57=)kl8   b):T=)k&5 =)?HB>?HKYL%<7EH>598
:78A59>JH:TI*8A5 "`EH36I"E k&=<7ITE kl>):78 <7EH=)? = 59dn8AI;>3 /H8AB ?JHkRm8;:4>)O   b):T=)kD5a=:78 :78;<7J:T?H8AB - E'365cEH8AKYd'5
<9> /'?HB :78A57>J:TI*8A5 "`3Y<7EC573 k&36K6=:`?'=)kl8A5 m'JH<`59<736K6KB>8A5S?>)<S57JdHdn>):7< kl>):T8RI*>kld'K68(')J8;:T368A5`57JHI"E
=)5 :"=)?b)&8 )JH8;:T3Y8A5 =)?HB ?H8A=:ck&=<7I"E8A5 <9>D= )8;L 













 6 

6  
  %?



  
  02

$ *   o & j= d8;8;:  <9> d8;8;:&57L59<98Ak O >):ld'Jm/K63657EH3 ?b "j8;m B>WI 
/'KY<98;: $   & <9>]I*:T8A=<98^=Cd':78AI;36598&57J'k&k&=:7L >)O<7E8DB>WI;JHkl8A?<75

JHkl8A?<75#8A=)ITEdn8;8;:GJH598A5a= m'KY>>k
3Y<459<9>):78A5 &-`E8A598 m'KY>>k //KY<98;:T5S=:78 d8;:"3Y>B'36I;=)K6KYL 8('WI"EH=)?b)8AB mn8;<," 8;8A? dn8;8;:T5c<9> Jd BH=<98VI*>?<98A?<
36?O >):Tk&=<736>?   3 )8G<7E8V8A=:TK6368;:S57I"E8Akl8  <7EH3 5 >?8l=)K659> B>8A5S?H>)<S57JHdHdn>):7<`I*>kld'K68(' )JH8;:T3Y8A5n=)?HB
k&=hL]=)BHBH36<73Y>?H=)K6KYL 57J %8;:4O :7>k <7E8 dH:7>)m'K68Ak >)O * 2 +  
%    3  8  +36<Sk&=hL =d'd8A=:4<7EH=<f=Ndn8;8;:
59<9>):78A5c59>kl8a:T8A59>J:TI*8f8;[)8A? <7E>JbEC3Y< BH>8A5 ?H>)< 

    6   
 


 24 2 <  QfJdH<7=

$  &WJ'598 6    6   
  

+ 2 4 



 2  21 4<

$   ) q &W<9>



57Jd'd>):T<P=)?'5 "j8;:"36?bf=dHdH:7>'W3 k&=<98 )J8;:T3Y8A5 - E8A36:59L57<98Ak B8A573Yb?D57Jm'59<736<7J<98A5 I*>?H573657<98A?<EH=)5TEH36?b
o*

36?D\EH>):TB "`3Y<7ElKY>WI;=)K63Y< LM598A?'573Y<73Y[)8EH=)57E'36?b 59>f<7EH=<j3Y<98Ak&5 <7EH=<=:T8`I;KY>598<9>)b)8;<7E8;:36? <7E8>):"3Yb36?H=)K
59d'=)I*8&=:T8&KY>I;=<98AB I;KY>598l<9> 8A=)I"E%>)<7E8;:G3 ?]<7EH8&EH=)57E8AB 59d/=)I*8D=)5 " 8AK6K  1 )J8;:7L O_>):a59>k&8&BH=<7=
3Y<98Ak "`3 K6K d':7>B'JHI*8 = :78A57JHKY<V<7EH=<&365l5T36k&36K6=:V<9> <7E8 :78 )J8A59<98AB 3Y<98Ak  - EH365 ?8;<7"j>): ?>)<l>?HK6L
57=)I*:T3 /'I*8A5&KY>=)Bm'=)K =)?HI;36?b mLJH5T36?b = BH3 %n8;:78A?<&E'=)57EO J'?HI*<73Y>?m'J<&3Y<l=)K657>%B>8A5D?>)<&57JdHdn>):7<
=)?H5 " 8;:T36?Hb I*>k&d'KY(8 ' )JH8;:T3Y8A5 1  23 
- EH8lO_8A=)5736m'36K63Y< L >)Odn8;8;:  <9>  dn8;8;: " 8;m 36?'B(8 'W3 ?b =)?'B%598A=:TI"EH36?b 3 5aI*>?H5736BH8;:78AB%36? $ q &   =)I"E
" 8;m B>WI;JHkl8A?<43 5fB8A57I*:T3Ymn8AB JH573 ?b = 578;<f>)O )8;L "j>):"BH5a=)?HB <7EH8l:78A59dn>?H573Ym/36K63Y< L^O >): )8;L "j>):TB'5a365
JH?H36O_>):TkDKYL B'3659<9:T3Ym/J<98ABC=)kl>?bNd'=:T<736I;3Yd'=)?<`dn8;8;:T5   =)I"E dn8;8;:Sk&=)3 ?<7=)36?'5 :   < 6  >)O<7E8
=)BHB:T8A57598A5 >)O <7EH8RB>WI;JHkl8A?<75`<7E'=<SI*>?<7=)36?]<7E8 )8;L "j>):"BH5`<7E'=<S3Y<c365 :78A57d>?'573Ym'KY84O >):   ?'EH=)?HI*8 
kl8A?<754<9> :78ABHJHI*8 )J8;:7LCm/=)?HB "`36BH<7E 36?HI;K JHB8RI;=)I"EH36?b :T8A57JHKY<75 ndH:T8 MI*>kld'J<7=<73Y>? >)Ojd>57<736?bNK63659<
36?<98;:T598AI*<73Y>? O >):GkVJHKY<73Yd/KY8  "j>):"B )J8;:T3Y8A5  m'KY>>k //KY<98;:T548;<7I  - E8l=)J<7E>):"5aI*>?HI;K6JHBH8V<7E'=< "`EH36KY8
<7E8A598N8A?HE'=)?HI*8Akl8A?<75l=:78^d':7>k&36573 ?b PO J:T<7E8;:VI*>k&dH:7>k&36578A5R36? :78A57J'KY< )JH=)K636<ML%=)?HBITE'=)?b)8A5l36?
dn8;8;:  <9>  dn8;8;:a?8;,< " >):  59<9:TJHI*<7J:T8 "`3 K6K+mn8V:78 )J'3Y:78AB]<9>NkD= )8l<7E8 dH:7>)m'KY8Ak O 8A=)573Ym'KY8RO_>):4dH:"=)I*<736I;=)K
59LW59<98Ak&5 
 


[)8A?

/',



,

*,

(

(*$

"`3Y<7E <7E8lJH598l>)O I*>?H573659<98A?<aEH=)57E'36?b  = 59LW59<98Ak K63 )8D\EH>):TB I*>JHK6B EH=A[)8^=)? 36kGm/=)K6=)?HI*8l36?

<7E8 KY>=)B BH3659<9:T36m'J<73Y>? 3YO <7EH8;:78V3 5`=N5736?bK68adn8;8;:c<7EH=<4365c:78A59dn>?H5736m'KY8fO >):S= K6=:7b)8 598;bkl8A?<4>)O<7E8
36B8A?<73>/H8;:SI;3Y:TI;KY8 4?8V59>K6J<73Y>?]b3Y[)8A? 36?]<7E8l\E>):TB BH8A573Yb? 365`<7EH8VJH578G>)O 4    6 dn8;8;:T5 "cE8;:78
8A=)ITEk&=)I"EH36?8D3 5a=)57573Yb?H8AB%kRJ'KY<73Yd'KY8 598;bkl8A?<75R<9> b3Y[)8&mn8;<9<98;:VKY>=)B%m'=)K =)?HI;36?b *-`EH365f36?HI*:T8A=)598A5
<7E8S59d'=)I*8`:T8 )JH36:78Akl8A?< =< 8A=)I"E ?H>B8c=)?HBD59<73 K6KHB>8A5 ?>)<jbJH=:T=)?<98;84d8;:TO_8AI*< K6>=)BDm'=)K =)?HI;36?b  + 8
KY>> ^=< 59>k&8S>)O <7E8f=)KY<98;:T?'=<73Y[)8a57ITEH8Akl8A5<7EH=< EH=h[)8amn8;8A?^d':7>)dn>598AB O_>):mn8;<9<98;: KY>=)BNm'=)K =)?HI;36?b 
  
     e L)8;:T5  2 4 $   &fdH:T>)d>578 J'5736?b  <7E8 dn>" 8;:C>)OG<7"j>  d/=:T=)BH3Ybk O >):CKY>=)B
m'=)K6=)?'I;36?b 1`" E8;:78 8A)= ITE BH=<7= 3Y<98Ak ITE>>598A5 
 o E'=)57E O JH?HI*<736>?H5a<9> B8;<98;:Tk&3 ?8 I;=)?HB'36BH=<98
?>WB8A5 >? <7E8 36B8A?<73>H/ 8;:PI;3Y:TI;K68  @ :T3Y>):P<9>a36?H598;:T<73Y>? <7E8 KY>=)BV>? 8A=)ITED>)O'<7E>598?>WB8A5 365PI*>kld/=:78AB
=)?HB]<7E8 BH=<7=^36<98Ak 365S36?H578;:7<98AB =<4<7E8 ?>WB8 `" 36<7EC<7E8 k&36?H3 kRJHk K6>=)B + 3Y<7E EH3YbE]dH:7>)m'=m'3 K63Y<ML 
<7EH365a8A?H57J:78A54<7E'=<G<7E8DkD=W' 36kVJHk KY>=)B =<G=)?L >)O<7E8 ?>BH8A5 "`3Y<7E :T8A59>J:TI*8A5 365a=<Vkl>59<
KY>)b KY>)b  KY>)b +-  @  B  - >a=h[)>36B <7E88(W' <9:T=4m'J:TBH8A?G>)O ) J8;:TL36?HbS=)K6K<7E8A578 dn>575T3Ym'KY8jd8;8;:"5 B'J:T36?b
= 598A=:TITE 8A=)I"E >)O<7E8 N36?H3Y<736=)K KYLMI"E>598A? dn8;8;:T5SI;=)? 59<9>):78l=^d>3 ?<98;:c<9> <7EH8RKY>WI;=<73Y>? `" E8;:78R<7E8

o(

BH=<7=&36<98Ak 3658;[)8A?<7JH=)K6KYLN59<9>):78AB


 6  : :  2  21 4<  \ >):T=)K $ ,q  & 365cL)8;<a=)?>)<7E8;:f[=:T36=)?<c>)O \E>):TB]<7EH=<fJH598A5 957KY>)dHdL EH=)5TEH36?b 
O >):59<9>):T36?bfBH=<7=G3Y<98Ak&5P<7EH=<k&=hLVE'=A[)8`kVJHKY<73Yd/KY8j=)BHBH:78A57598A5   =)I"ED?>WB8k&=)36?<7=)36?H5P= /'W8AB m'J%n8;:
573;8^O_>):V59<9>):T=b)8N>)O<7E8
 . +% )&   d'=)3Y:T5  + E8A?= ?8 " d'=)3Y:REH=)5G<9> mn8D36?H578;:7<98AB%m'JH<a<7E8
I*>):7:78A57d>?'BH36?b ?>WB8C365lO JHK6K  <7E8Cd'=)3Y:&3 5l59<9>):78AB =<^=%?>WB8 >?8 E>)d =" =AL O :7>k <7E8C>):"3Yb36?H=)K
<7=:7b)8;<a<9>" =:"BH5a<7E8 :78) J8A59<73 ?bNd8;8;:  % ? =)BHBH3Y<736>?\ >):T=)KP<9:T3Y8A54<9>]k&=)36?<7=)36? I;K6JH59<98;:T54>)O?>WB8A5
O >):V>)d'<736k&3A36?HbC?8;<," >):  K6>I;=)K636<MLgl8A=)ITE ?>WB8^3 5R=]d'=:7<V>)O`598;[)8;:T=)KK6=hL)8;:T5V>)O`BH3657<9:T3Ym'J<98AB EH=)57E
<7=m'KY8A5R8A=)ITE>)O c" EH36ITE I*>?H573657<75G>)O>)<7E8;:l?>WB8A5GdH:7>)b):78A575T3Y[)8AKYL O J:7<7E8;:V=" =AL O :7>k 3Y<7598AKYO36? <7E8
d'EL5T36I;=)K ?8;<7j" >):   1SKY<7E>JbE <7E8N57KY>)dHdL%EH=)57EH3 ?b =)KY>?b `" 3Y<7EI;K6JH57<98;:Vk&=)?'=b)8Akl8A?< dH:T>h[W36B8A5
K636kD3Y<98AB^K6>=)BNm'=)K6=)?HI;36?Hb W36<3 5 ?H>)< =dHd'K636I;=m/KY8S3 ? 57L59<98AkD5 `" EH36I"E EH=A[)8f>?8f>):`O_8 " I*>)d'368A5>)O#8A=)I"E
:78A59>JH:TI*8Nm8AI;=)J'598N<7E8C59d'36K K636?b >,[)8;:D<98AITE'?H3 ) J8 c" 36K6K ?>)< m8N[)8;:7L 8 %8AI*<736[)8 % ?=)BHBH3Y<736>?3Y<l365
8(W' d8A?'573Y[)8f<9>Dk&=)3 ?<7=)36? 578;[)8;:T=)K2 - 5O >):`I;K6JH59<98;:ck&=)?H=b)8Akl8A?< 

 

   
  `! =>

$ - ,&H8('Wd'KY>):78<7E:T8;8`BH3 %n8;:78A?<P5TITE8Akl8A5 <9>fdn8;:T3Y>WBH36I;=)K6KYLf<9:"=)?H59O 8;:KY>=)B

 24 


mn8;<," 8;8A? [3Y:T<7JH=)Kdn8;8;:T5;g @ 3 B \E>>578`<," >Vd8;8;:"5 =< :T=)?HB>k=)?HBD36?'3Y<736=<98`=G<9:T=)?H59O 8;: 36O>?H8c365jkl>):78
>h[)8;:"KY>=)B8AB <7EH=)? <7E8 >)<7E8;:BA@ 3 3 B 1SK6KY>" =)? >,[)8;:TKY>=)B8AB dn8;8;:T5D<9>I"E>>578]<7E8 mn8A59<&>)OG578;[)8;:T=)K
=A[=)36K6=m/KY8GJH?HBH8;:MKY>=)B8AB dn8;8;:T5`<9>^57EH8AB 3Y<`K6>=)B/=)?HB*@ 36363 B 1SK6KY>" 598;[)8;:"=)K>,[)8;:TKY>=)B8AB =)?HB J'?HB8;:
KY>=)B8AB dn8;8;:T5R<9> kVJ<7JH=)K KYL <9:T=)?H59O 8;:VK6>=)B =)kl>?Hb 8A=)I"E>)<7E8;:  - E8A3Y:V5736kVJHK6=<73Y>? :78A57JHK6<75G57E>"
<7EH=<`36<3 5dn>57573Ym'K68`<9>&m'=)K =)?HI*8f<7E8aKY>=)B "c3Y<7EH36? -* >)OP<7E8f>)dH<73 k&=)Kn[ =)K J8 "`3Y<7EN<7E8A578a57ITE8Ak&8A5 




H






!  o!

% ?]<7E'3654598AI*<73Y>?9" 8lb3Y[)8l=NmH:T368;O>h[)8;:7[W3Y8 " >)OBH3 %n8;:78A?<S=dHd/K636I;=<73Y>?H5S<7EH=<fEH=h[)8&mn8;8A? dH:7>)dn>598AB
=)?HB#!,>): 36kld'K68Akl8A?<98ABGJH5736?bdn8;8;: <9> dn8;8;:P59LW59<98Ak&5  + 8 E'=A[)8 d/J:7dn>598AKYLSKY8;O_<#>J<36k&d'KY8Akl8A?<7=<73Y>?

B8;<7=)36K 5G36? <7E'365a598AI*<73Y>?=)5R<7E8Dk&=)36? d'J:7dn>598&3 5f<9>]b36[)8D<7E8&:T8A=)B8;:V=)? 36B8A= >)O<7EH8D[=:T3Y8;<ML >)O
=dHd'K 36I;=<73Y>?H5 <7EH=<=:78mn8A36?Hbcm'J'36KY<#J'5736?bSdn8;8;: <9> dn8;8;: 59LW59<98Ak&5:"=<7E8;: <7EH=)?l<7E859dn8AI;3>//I BH8;<7=)36K65 



 
@ 8;8;: <9> dn8;8;:^59LW59<98Ak&5lE'=A[)8Cmn8;8A? "`36BH8AKYL%JH598ABO >):DBH=<7= 95 <9>):T=b)8]59L57<98Ak&5  
 
     
 $ ( - &
dH:7>,[3 B8A54=^bK6>)m'=)K M57I;=)KY8  dn8;:T5T3659<98A?<SBH=<7=N59<9>):T8&36?"cEH36ITE :7> JH<736?b <9>NK6>I;=<98 /'6K 8A5S3 5SBH>?8VJ'5736?b
,o 
 









(4$7!3! &)6



- =d8A57<9:7L $  *o  & "`E'36ITE 365`B8A57I*:T3Ymn8AB 36? U8AI*<73Y>? o  q  o    
16 

$ * *&#365 =&I*8A?'59>):T57EH36d  :78A573657<7=)?<

" 8;m  d'Jm'K 3657EH36?HbV59LW59<98Ak <7EH=<4JH598A54EH=)57E'36?b&<9>NBH3659<9:"3Ym'J<98a57E'=:78A5`>)O <7E8R8A?'I*:7Ld'<73Y>? )8;L]<9> BH36O 
O 8;:78A?< dn8;8;:T5   < 6 
 $ *  &S3 5D5736kD36K6=:&<9> @ Jm/K636JH5 8('I*8;dH< <7EH=<^3Y< JH598A5 =\EH>):TB MK63 )8 m'=)598
59LW59<98Ak <9> BH3 59<9:T3Ym'JH<98&=)I*<7JH=)K '/ KY8DBH=<7=]m'KY>WI W5 ?>)< 
 JH57<G<7E8^8A?HI*:7LdH<73Y>? )8;LW5    $ o ( &=)?HB
  $  p)p  -* &#=:T8f>)<7E8;:cBH=<7=D59<9>):T=b)8R57L59<98AkD5m'=)598AB >? \E>):TB =)?'B @ =)57<9:7LN:78A59dn8AI*<73Y[)8AKYL 

   
 $ 
 - &n365=adn8;8;: <9> dn8;8;:  
 < < :121; 59<9>):"=b)84578;:7[3 I*8 m'=)598ABD>? - =dn8A59<9:7L 
"`E8;:T8'/ KY8A5lI;=)? mn8C59<9>):78AB 57JHITE <7EH=<D=<9<7=)I )8;:"5 =:T8CJH?H=m'KY8N<9>%>)m'<7=)36?<7E8A3Y:DI*>?<98A?<75m'J<&=
KY8;b3Y<73 k&=<98DJH598;:VI;=)? =)I;I*8A5T5G<7E8Ak  j=)ITE '/ KY8lm'K6>I  3 5a8A?HI*:7LdH<98AB%=)?'B " :T36<9<98A?%<9>]=C:T=)?HB>k&K6L
ITEH>598A? KY>WI;=<73Y>? c" 3Y<7E =)BHBH3Y<736>?H=)K :78;d'K636I;=<736>?]<9>]=A[)>36B >h[)8;:" :"3Y<736?b m'K6>I 5 &F'J:7<7E8;:a8A?'EH=)?HI*8 
kl8A?<754<9>NdH:7>h[W36B8VO =)JHKY<S<9>KY8;:T=)?HI*8l36?HI;K JHB8G8A?'I*>BH3 ?b^36?HO_>):TkD=<73Y>?]3 ?<9>  m'K6>I 5457JHI"E <7EH=<a=)?L
% j m/KY>I 5`=:78a57JD$ I;368A?<<9>&:T8;<9:T3Y8;[)8G3Y< 




 



&










 * (4$



,(

$ * & 365R=" 8;m  d'Jm/K63657EH3 ?b

,



* (4$

75 L59<98Ak <7EH=< =)K6KY>"`5GJH578;:T5a<9> I*>K6KY8AI*<73Y[)8AK6L%JH598D<7EH8A3Y:RKY>WI;=)K
k&=)I"EH36?8A5O >):=" 8;m E>59<736?Hb =)?'B/'KY8f598;:7[W36?b  @ 8;8;:T5c=:78f:78A59dn>?H5736m'KY8`O >):`59<9>):"36?bl=)?HB :78;d/K636I;=<736?b
I*>?<98A?<=)?HB^=GI*>>):TBH36?H=<9>): 365JH578AB&<9>RB'3Y:78AI*<#)J8;:T3Y8A5<9>G<7E8 dn8;8;:j<7EH=<jE>57<75 =ad/=:7<736I;JHK6=: d'=b)8 
UWJd'd>):T<#O >):jE>57<736?b "j8;m^d'=b)8A5O >): =fdn8;8;:<7E'=< 365I;J:T:78A?<7K6LR36?H=)I;I*8A5T573Ym'KY8 =<j>)<7E8;:dn8;8;:T5kD=)8A5
<7E8GI*>?<98A?<c=A[=)36K6=m/KY8akl>59<>)OP<7E8f<736k&8 

  
 6 $  
,&365=aB8AI*8A?<9:T=)K63 ;8AB dn8;8;:  <9>  dn8;8;#: " 8;m^I;=)I"E84B8;[)8AKY>)dn8ABl>?&<9>)d^>)O @ =)57<9:7L $ -*- & 
- E859LW59<98Ak0dn>>K65 <9>)b)8;<7E8;:jKY>WI;=)KWI;=)ITE8A5 >)O'dn8;8;:T5P<9>fO >):Tk0=4bKY>)m'=)K 5TI;=)K6=m'KY8 " 8;m&I;=)ITE=8 "c3Y<7E>J<
<7E8N=)5759>WI;36=<98AB>h[)8;:"E8A=)BH5l57JHI"E=)5VE'=:TB "=:78 =)?'B k&=)3 ?<98A?H=)?'I*8NI*>57<75   'Wdn8;:T36kl8A?<7=)K:78A5TJHKY<75
57E> " <7EH=<GBH8;[)8AKY>)d'36?b 57J'ITE =C59LW59<98Ak 3 5f?>)<a>?HKYL]O_8A=)5T3Ym'KY8 m'J<f=)K657>CI*>kld'=:78A5fO =A[)>):"=m'KYL <9> =
B8ABH3 I;=<98AB "j8;m]598;:7[)8;: 
  






 



,67&

#&+ 4
 

&)

  
  
 
   0    4       
 @ UW2aU % Bf365V=CdH:T>)d>578AB%d'Jm/K636I  )8;L 36?O :T=)5
<9:TJHI*<7JH:78&36? "`EH3 ITE%?H=)k&8A5a=:78DB8 // ?8AB 36? YK >WI;=)K?H=)kl8A57d'=)I*8A5G=)?HB KY>?b)8;:G?H=)k&8A5GI;=)?%K63 ? ]kVJHK 
<73Yd'K68G?H=)kl8A59d/=)I*8A5`<9>NB8AKY8;b=<98V<9:TJH59<cJH5736?b&I*8;:T<73>'/ I;=<98A5   2  $ o & 365c=DBH3657<9:T3Ym'J<98AB U2fU!%
I*8;:7<73>// I;=<98 BH36:78AI*<9>):7Lm'JH36K6<l>? \EH>):TB O_>):N?H=)kl8]:78A59>K6J<736>? >h[)8;: kVJHKY<73Yd'K68C?H=)kl8A59d'=)I*8A5`=)?HB
kl8AkRmn8;:T57EH3Yd I"E8AI W36?b&<9>^598;8G3YO =&I*8;:7<73>'/ I;=<98V365=dHd'K 36I;=m'KY8S<9>D=ld'=:T<736I;JHK6=: )8;L 
9; : 6 


o*



 2 $ o 
*&n365 =V59LW59<98Ak <7E'=<jJH598A5\E>):"B&=)5j=)? =)KY<98;:T?'=<73Y[)8S578;:7[3 I*8`59<9:TJHI*<7JH:78`<9>R<7E8S2 fU

 d/=)3Y:T5G=:T8 59<9>):T8AB3 ? = BH3659<9:T36m'J<98AB O =)57EH3Y>? JH5736?b]EH=)57EH36?Hb #<9> =)K6KY8;[W36=<98
59>kl8>)O<7E8 B:"=" m'=)I 5 >)OJ'5736?bS<9:78;8`BH=<7=f57<9:TJHI*<7J:78A5O_>):2 fU KY>> Jd/5 1-`E8=)J<7E>):T5I*>?'I;K6JHB8
<7EH=< 36? 59d'36<98j>)O/<7E8=)B[ =)?<7=b)8A5>)O=4BH3659<9:T36m'J<98ABG2 fU )<7E8EH3YbEVK6=<98A?HI;368A5BH3>$DI;J'KY<73Y8A5 36?R=)B'BH36?b
?8 "O_8A=<7JH:78A5#=<P=)K6KI;K63Y8A?<75 )=)?HBG<7EH8jK6=)I a>)OH36?HI*8A?<73Y[)8A5#<9>S598;:T[)8 JH?H:78AK6=<98ABGB'=<7=ck&= )8 <7E859LW59<98Ak
KY8A575f=<9<9:"=)I*<73Y[)8^<7E'=)? <7E8&I;J:7:T8A?<a2 fU +1 5736k&36K =:SI*>?HI;K JH573Y>? O >):GJH573 ?bNd8;8;:  <9>  d8;8;:R59L57<98Ak&5
O >): ?H=)kl8`578;:7[3 I*8A5I;=)?lmn8 598;8A?&36? 4[)8;:TKY>>  $ * q &"`E8;:78<7EH8 =)J<7E>):T55T=AL <7EH=< 57J'ITE&59LW59<98Ak&5j=:78
<9>> 598A?H5736<73Y[)8&<9>C<7E8D<9:T=)?H59dn>):7<aK6=hL)8;:R=)?HB%<7E8DI;K63Y8A?<Gk&=)I"EH36?8A5 D1 BH3 %n8;:78A?<fdn8;:T57d8AI*<736[)8l<7EH=<
O >I;JH578A5`>? <7E8V=)BH[ =)?<7=b)8R>)O +    *  :78;O_8;:T8A?HI*8R:T>J<736?b&mLCJH573 ?bldn8;8;:  <9>  dn8;8;:cO >):S2 fU
I;=)?Cmn8f598;8A?]36? $  p & 



$ 
%   ,)) 




U:T3 ?H3Y[=)57=)?  2 4 $ * p*&57JHb)b)8A59<`JH573 ?bV=&d8;8;:  <9> d8;8;:c59L57<98Ak O_>):ckl8A=)57J:78Ak&8A?< >)OP?8;<7"j>): Ndn8;:
O >):Tk&=)?HI*8a36?  :  + 36<7E dn8;8;:T5BH3659<9:"3Ym'J<98AB =)K6Kn>h[)8;:S<7E8 " >):TK6BH5TJHITEC=l57L59<98Ak "j>JHK BNb3Y[)8
b)>>B^=ab)>>B KY8;[)8AKH>)O+?H8;<," >): &I*>h[)8;:T=b)8f<7E'=<#" >JHK6Blmn8`BH3 $DI;JHKY<P<9> =)ITEH3Y8;[)8cmL&kD=)?JH=)K KYLV578AKY8AI*<
36?b`8A?HBdn>36?<75  c>" 8;[)8;:<7E8;:78=:78 598;[)8;:T=)K365757J8A5#57JHI"ER=)5 57J$DI;368A?<#d'=:7<736I;3Yd/=<73Y>?,J'598;O J'K6?8A575 >)O
kl8A=)57JH:78Akl8A?<75 '=)?HBCE'=)?HBHK636?HbRI*>K6K6J'573Y>?H5 "`E'36ITEN:78AkD=)36?N<9>&mn8a=)BHB:78A5T598ABNmn8;O_>):78a3 kld'KY8Akl8A?<736?b
57JHI"EC=&59LW59<98Ak 3 ?NdH:T=)I*<736I*8 
 



 




&





/'



&+ /'67,(



, (*, $1(*$ ,

$ *- &c=)?HB 

-/


&

67&+,4-&)67&)(

*

$ ** &c=:78

59LW59<98Ak&5D<7EH=<D=)BHBH:78A575l<7E8 '=)57E I*:7>"`B dH:T>)m'KY8Ak 
BHJ8 <9>=5TJHBHB8A? 36?HI*:78A=)598 36? <7E8 B8Ak&=)?HB O >):N57>kl8 B'=<7= cmL dH:7>)dn>573 ?b%<7EH=< I;K63Y8A?<75^<7EH=<
EH=h[)8CB>"`?'KY>=)B8AB<7E8 BH=<7= j578;:7[)8C3Y<V<9> >)<7E8;:&I;K63Y8A?<75  - EH3 5R365 36k&d'KY8Akl8A?<98ABmL E'=A[W36?b <7E8
598;:7[)8;:Sk&=)36?<7=)36? =&K63 59<>)OP578;:7[)8ABCI;K63Y8A?<75 =)?HBC:78ABH3Y:78AI*<73 ?b O J<7JH:78f:78 )J8A59<75<9>&<7EH8Ak #-#>&dH:78;[)8A?<
:78ABH36:78AI*<73Y>?>h[)8;:TK6>=)B >?<7E8C598;:7[)8;:  e =)I 5TK6=)57E O J:7<7E8;: 59<9>):78A5&:78A59>J:TI*8 =)BHBH:78A57598A5  8A3Y<7E8;: 8A?
:7>J<98G<9>&<7E8f:78)J8A59<736?Hb&?>BH8a36? =l2 - >h[)8;:TK6=hL />):`>? :T=)?HB>k d8;8;:"5JH5736?blEH=)5TEH36?b 
 : 
 

8 6  2



@ =)59<9:7L E'=)5`mn8;8A? JH598AB =)5c<7EH8Gm'=)598VO >):  0 
 
 $  p  & n=)? 8;[)8A?<M?>)<73 /'I;=<73Y>? 36?O :T=)59<9:"JHI*<7J:78fO >):
= <9>)d'36I  m'=)578ABd'Jm'K63 57E#! 57Jm/57I*:T3Ymn8 59L57<98Ak  UWJm'5TI*:T3Ymn8;:T5a:T8;b3659<98;: O_>):&= <9>)d'3 ID>)Oc<7E8A3Y:l36?<98;:78A59<
*o  






-/



/16

6

*(



,.-0/1(

=)?HB :78AI*8A3Y[)8D8;[)8A?<75V:78AK6=<98AB <9> <7EH=<R<9>)d'36I&36:7:78A59dn8AI*<73Y[)8&>)O<7EH8&d'Jm'K 3657E8;: ^1 kRJHK6<736I;=)59<a<9:78;8 365
k&=)36?<7=)36?8AB]O >):S8A=)I"E <9>)d'36I "`EH3 ITE 3 5S=)5T59>I;3 =<98AB "c3Y<7E]= 
  
 0   dn>36?<S3  8   <7E8Vdn>36?<S36?
<7E8&>,[)8;:TK6=hL ?8;,< " >):  <7EH=<V365aI;KY>598A57<G<9>C<7E8^<9>)d'36Il36BH8A?<73>/'8;:   =)I"E <9:T8;8D365fO >):Tkl8AB mL 
 >36?H36?b
<7E8a:T>J<98A5O :7>k <7E8G5TJm'57I*:T36m8;:"5 O >): <7EH=< d/=:7<736I;JHK6=:<9>)d/36I 
@ 8;8;:  <9>  dn8;8;:l59LW59<98Ak&5V=:78^=)K657> JH598AB O_>):V=dHd'K636I;=<736>? MKY8;[)8AK mH:T>=)BHI;=)59< $ q)o & =)&5 " 8AK6Kj=)5RkVJHK 
<736I;=)59< $ -*   -    &  - EH8;:78 =:78],< " >=d'dH:7>=)ITEH8A5DO >):^kVJHKY<736I;=)57<;g  223 0 

5
 10 JH598AB 36?
$ - ( &m/=)598AB >? \1  $ -**& =)?HB m'J'36K6BH36?Hb4= # 23  %   =)536? UWI*:T3Ymn8 $  - &n=)?HB  : 6  

 
  $   &  mn>)<7E m'=)598AB >? @ =)59<9:7L $ -*- &  1 I*>kld/=:T3659>? >)Oa<7E8 dn8;:7O >):Tk&=)?'I*8 >)Of<7E8 ,< " >
=dHdH:T>=)ITE8A5lJH?'B8;:R36BH8A?<736I;=)K " >): K6>=)BH5 $ op & 57E> "c5G<7EH=< <7E8N<9:78;8N=dHdH:T>=)ITE>J<9dn8;:7O >):Tk&5R<7E8
H>>B'36?b =dHdH:7>=)I"E


qp


 

 
   
 
   
  
 
   
  
% ? <7E'365 ITEH=dH<98;: #" 8 dH:78A598A?<l=)? =m'59<9:T=)I*<lkl>WB8AK >)Oc= BH3 59<9:T3Ym'JH<98AB EH=)57E<7=m'K68 dH:7>,[)8 >J:l:78 

57JHK6<75RO >): O =)J'KY< <9>KY8;:T=)?<lb):78;8ABL :7>J<736?b 36?<7EH365 kl>WB8AK  b36[)8NEH8AJ:T3659<73 I;5GO >):&I*>?H59<9:TJ'I*<73Y>? =)?HB
k&=)36?<98A?H=)?HI*8 >)O457JHI"E = ?8;<," >):  j=)?HBd':78A598A?<l8('dn8;:T36k&8A?<7=)K :78A57J'KY<75V>? <7E8Ndn8;:7O_>):"k&=)?HI*8 36?
dH:T=)I*<73 I*8 


 


: n!




1SKY<7E>JbE <7EH8a[ =:"3Y>JH5dn8;8;: <9> dn8;8;:c57L59<98AkD5 <7EH=<`J'598GBH3657<9:T3Ym'J<98ABNEH=)5TE <7=m'KY8A5 @ 578;8 \EH=d'<98;:So
O >):SB8;<7=)3 K65?B578;8Ak [=)59<7KYLCBH3%8;:78A?<<7E8;:78 365`=^:78AI;J:7:T8A?<SJH?HB8;:TK6L36?HbV<7EH8Akl8V3 ?C<7E8VJH598G>)Oj59>kl8
[=:T36=)?<S>)Oj=)? >h[)8;:TK6=hL k&8;<9:T36IV59d'=)I*8&36? "`EH36I"E <7EH8 kD=)ITEH36?H8A5S=:T8V8AkRmn8ABHB8AB&-`E8VK6>I;=<73Y>?'5c>)O
k&=)I"EH36?8A5V=)?HB:78A59>J:"I*8A5V3 ?%<7EH365Vkl8;<9:T3 ID59d'=)I*8 =:78NB8;<98;:TkD36?8AB mL <7E8A36:V36BH8A?<7>3 /'8;:T5G=)?HB )8;LW5
:78A59dn8AI*<73Y[)8AK6L   =)I"E ?>WB8 k&=)36?<7=)36?H5N59>kl8%3 ?O_>):"k&=<73Y>? =m>JH<N36<75 ?8A3YbEm>):"5 3 ? <7EH8 k&8;<9:T36I
59d'=)I*8 #=)?HB :7>J<736?HbN3 5c<7EH8A?%5736kld/KYLCB>?8 mL]O >): "=:TBH36?b 8A=)ITE%d'=)I )8;<R<9> <7E8&?8A3YbEmn>): 2 
 +
<9>N<7E8 <7=:7b)8;<a?>WB8 "`3Y<7E :78A59dn8AI*<S<9> <7E8lkl8;<9:T36I  % ?%\1  $ -* &  <7E8lkl8;<9:T36IV59d'=)I*8&3 5`(8 'Wd'K636I;36<7KYL
B8 /'?H8AB%=)5a<7E8 I*>>):"BH36?H=<98D57d'=)I**8 "`E'36ITE 365RBH3Y[W36B8AB 36?<9> ;>?8A5V=)?HB%<7EH8DBH3659<7=)?'I*8Dkl8;<9:T36IDJH598AB
365^5736kld'K6L <7E8 jJHI;K636BH8A=)? BH3659<7=)?'I*8 % ? \E>):TB $ * o & <7EH8]?>WB8A5D=:T8]KY>WI;=<98AB >? b):T36B dn>36?<75
>?= :78A=)K I;3Y:TI;K68 1"c3Y<7E BH3 59<7=)?HI*8A5Vkl8A=)57J:78ABI;KY>WI  "`36598 =)KY>?b <7E8^I;36:TI;JHklO 8;:78A?HI*8^>)O <7E8^I;36:TI;KY8 
- =d8A57<9:7L $  *o  & n=)?HB @ =)59<9:7L $ -*- & =)K659>^d'K6=)I*8V?>BH8A5 >? =^:78A=)K#I;3Y:TI;KY8G=)K6<7E>JbE B'3659<7=)?HI*8A5cI;=)?]mn8
kl8A=)57JH:78AB 36? 8A3Y<7E8;:aB'3Y:78AI*<73Y>?  - EH3 5f36?HE8;:78A?<4I*>k&kl>? 57<9:TJHI*<7J:78lKY8A=)B'54<9> 5736k&3 K6=:c:T8A57JHKY<754O >):
<7E8Vdn8;:7O_>):"k&=)?HI*8V>)O 57JHI"E ?H8;,< " >): 5 &%?]<7EH365SITE'=dH<98;:  " 8V(8 'Wd'K6=)3 ? "`EL kl>59<4>)O<7EH8A598l59L57<98Ak&5
q

=)ITE'3Y8;[)8%5736k&3 K6=:&dn8;:7O >):Tk&=)?HI*8 bJH=:T=)?<98;8A5 mL B8A57I*:T36m'36?b =b)8A?8;:"=)Kf598;<9<736?bO_>): 57J'ITE >h[)8;:TK =AL
kl8;<9:T3 If59d'=)I*8A5 '=)K6<7E>JbECkl>57< >)O#>JH: :78A57JHK6<75=dHd'KYL^>?HKYLN36?N>?8 MBH36k&8A?H573Y>?H=)Kn59d/=)I*8A5 
FHJH:7<7E8;:  "j8V=:78 36?<98;:T8A59<98AB]3 ?C<7E8RO =)JHK6<  <9>KY8;:T=)?HI*8VdH:7>)dn8;:7<73Y8A5 >)O57JHITE ?8;7< "j>): W5 SF>):fK6=:7b)8
59LW59<98Ak&5 #"`E8;:78 ?>WB8A5 =dHdn8A=:l=)?HBKY8A=A[)8CO :78 )J8A?<7KYL :78A573 K63Y8A?HI*8^<9> :T8;d8A=<98AB =)?'B I*>?HI;J:7:78A?<
O =)36K6J:78A5S365f=NB8A5736:T=m'KY8 =)?HB 36kldn>):7<7=)?<SdH:7>)dn8;:7<ML  + 8&dH:7>,[)8l<7EH=< "`3Y<7E >J:f>,[)8;:TK6=hL 57d'=)I*8&=)?HB
K636? 36?Hb57<9:T=<98;b3Y8A5 )<7E8 ?8;,< " >): fdn8;:7O >):Tk&5:78A=)59>?H=m'K6L " 8AK6K8;[)8A? "`36<7EG=`K =:7b)8j?JHkRm8;:#>)OO =)3 K6J:78A5 
+ 8R=)K 59>lb3Y[)8a(8 'Wdn8;:T36kl8A?<7=)Kn:78A57JHK6<75<7EH=<`57Jd'd>):T< >JH: <7E8;>):78;<736I;=)K+dH:7>>)O 5 3 ?NdH:T=)I*<736I*8 
4JH:`=dHdH:7>=)I"E <9>>Dd':7>h[W36B8A5c=DEH=)57E <7=m'KY8 MK63 )8aO J'?HI*<73Y>?H=)K636<ML Hm'=)578ABC>? )8;LW5c<7EH=<SJ'?H3 )J8AKYL
36B8A?<73YO L]<7EH8&:78A59>J:"I*8A5 -> =)I;I*>kld'K6365TE <7EH365  "j8 k&=d :T8A59>J:TI*8A5G<9> dn>36?<75G36?%= kl8;<9:T36I&57d'=)I*8
8A3Y<7E8;:lBH36:78AI*<7KYL%O :7>k <7E8A3Y: )8;LW5l>):lO_:T>k <7EH8 )8;LW5 * EH=)5TE [=)K6J8A5  - EH365Vk&=dHd'3 ?b B'36I*<7=<98A5l=)?
=)575736b?Hkl8A?<>)OHk&=)I"EH36?8A5#<9>Sk&8;<9:T36I M59d'=)I*8 dn>36?<75   =)I"E k&=)ITEH3 ?8j365#=)57573Yb?H8ABR=c598;d'=:T=<98KY>WI;=<73Y>?
O >):8A=)ITE^:78A59>J:"I*8 <7EH=<j36<E>59<7V5 59>G=ak&=)I"EH36?8cI;=)?&mn8 KY>WI;=<98ABD=< kVJHKY<73Yd/KY8d>3 ?<75 36?&<7E8>h[)8;:TK =AL
?8;7< "j>):   + 8lI*>?H59<9:TJHI*<4=)?HB k&=)36?<7=)36? =D:T=)?'B>k b):"=d'E]K 36? W36?bl<7E8A598Vdn>36?<75c=)?HB JH598Vb):78;8ABL
:7>J<73 ?b`<9>4<9:T=h[)8;:T598 3Y<75#8ABb)8A5P<9> /'?HBVBH=<7=43Y<98Ak&5 - E8jdH:T36?HI;36d'KY8 " 8j:78AK6La>? 365<7E'=<#O =)36K6J:T8A5#KY8A=h[)8
mn8AEH36?HBVL)8;< =)?>)<7E8;: @ 57kD=)K6KY8;: B#:T=)?'B>k b):T=d'E 8A?H57J:"36?b4<7EH=<<7E8c?8;,< " >): &365P:7>)m/JH59< 8;[)8A?D3 ?l<7E8
O =)I*8a>)O#I*>?H5T36B8;:T=m'K684B'=)k&=b)8  1S?>)<7E8;:`I*>kldn8AK6K 36?bR=)BH[ =)?<7=b)8a>)O :T=)?HB>k b):T=d/EH5365<7EH=<<7E8;L
8AK636kD36?H=<98D<7EH8N?H8;8AB O >): bKY>)m'=)K I*>>):"BH36?H=<73Y>?  -`EJH5 1" 8Nb)8;<&= O JHK KYL MB'3659<9:T3Ym/J<98AB  8;b=)K63Y<7=:"36=)? 
57I;=)K6=m/KY8a?8;,< " >):  "`3Y<7E ?H>lm>)<9<7K68A?8AI W5 
+ 8Vkl8A=)57J:78Gd8;:TO_>):TkD=)?HI*8a36?N<98;:Tk&5`>)O#<7EH8G?J'kGmn8;: >)OPkl8A5757=b)8A5S598A?<`36? <7EH8G?8;,< " >): NO >):c=
598A=:TI"E >):G=)? 36?'598;:7<S>)d8;:"=<73Y>?  - E8 :78;d'=)3Y:fkl8AI"EH=)?H365Tk k&=AL b)8A?8;:T=<98D=)B'BH3Y<73Y>?H=)K#<9:T0= $DI #m'J<
" 8S(8 'Wdn8AI*<j<9>l=)kl>):T<73 ;84<7E8A598fI*>59<75>h[)8;:<7EH84578A=:TITE =)?HB 36?H578;:7< >)dn8;:T=<73Y>?'5 jQ43Y[)8A? <7E8Sb):7> "c36?b
59<9>):T=b)8 I;=d'=)I;36<ML >)Ock&=)ITEH3 ?8A5 "j8N=:78NKY8A575VI*>?HI*8;:T?8A
B "`36<7E k&36?'36k&3 A36?Hb <7EH8 59<9>):"=b)8N=< 8A=)I"E
?>WB8 H<7E8V59d'=)I*8R:78 )J'3Y:78Akl8A?<75 =:78V57k&=)K6K+=)?'BC<7E8G3 ?O_>):"k&=<73Y>?C59<9>):T8AB =<4=&?>WB8GI*>?H573 59<75 >?HK6L
>)O =)? % @ =)BHBH:78A575O >): 8A=)ITE ?8A3YbEmn>):  c>" 8;[)8;: n=)5 dn>36?<98ABN>J<`36?]\EH=dH<98;:  kl>):78a?8A3YbEmn>):T5
KY8A=)B <9>]=)?36?HI*:78A=)598^36?%<9:T0= $^I&O >):Rk&=)36?<98A?H=)?HI*8^>)O K636? W5f36? <7E8&:78;d'=)36:Rkl8AI"EH=)?H3657k #<7EJH5G36<G365
mn8A?8 /'I;36=)Kn<9> )8;8;d <7E8a59<9>):"=b)8G:78 )JH3Y:78Ak&8A?< B> "`? <9>D=lkD36?H36kVJHk 
- EH8c:78A57<j>)O+<7E'365jI"EH=dH<98;: 365j>):7b=)?H3 ;8AB =)5 O >K6KY> "`5  U8AI*<73Y>? q  oR(8 'd/K6=)36?H5j>J:=m'59<9:T=)I*<kl>WB8AK
36?B8;<7=)36K  + 8 b3Y[)8N>J:&KY> " 8;:lmn>JH?HBH5GO_>):lb):T8;8ABL :7>JH<736?b 36?UW8AI*<73Y>? q  q  + 8 dH:T>h[)8CJdHdn8;:
mn>JH?HBH5a>? b):T8;8ABL%:7>J<73 ?b "`36<7E>J<aO =)36K6J:T8A5G36? U8AI*<73Y>?q  
  =)?HB36?%<7EH8^dH:T8A598A?HI*8 >)O O =)3 K6J:78A5
36? U8AI*<73Y>? q   % ? U8AI*<736>? q  (  " 8 dH:78A598A?<4=^E8AJH:T3659<736IGkl8;<7E>WB]O >):fI*>?H59<9:TJ'I*<736?bD<7EH8V:"=)?HB>k
q)o

b):T=d'E]=)?HB]dH:7>h[W36B8f8('Wdn8;:T36kl8A?<7=)K+:T8A57JHKY<75`<7EH=<c57EH>"03Y<75 dn8;:7O >):Tk&=)?HI*8R36?CdH:"=)I*<736I*8 cU8AI*<73Y>? q +
B8A57I*:"3Ymn8A5<7E8G:T8A57JHKY<75`>)O >)<7E8;:c(8 'Wdn8;:T36kl8A?<7=5 " 8RI*>?'BHJHI*<98AB]<9>^<98A59<c<7E8Gdn8;:7O >):Tk&=)?'I*8G>)O b):78;8ABL
:7>J<73 ?b 3 ? >JH:&BH3659<9:T36m'J<98AB B'=<7= 57<9:TJHI*<7J:78  \ >?HI;K6J'573Y>?H5V=)?HBO JH<7J:78 "j>): =:78 BH365TI;JH57598AB36?
U8AI*<73Y>?]q  








L

% ~

- E83 B8A=JH?HB8;:"KYL3 ?bj>JH:=dHdH:7>=)I"EGI*>?H5T3659<75 >)OW<7E:78;8 m'=)5736IPd'=:T<75;g @  B8AkRmn8ABf:78A59>J:"I*8A5=)5+dn>36?<75

36?N=lkl8;<9:T3 IS57d'=)I*8 4@ o:B I*>?H59<9:TJ'I*< = :T=)?HB>k b):T=d'ENmL^=d'dH:7>)dH:T3 =<98AKYLDK636? 36?Hba<7E8A598fdn>36?<75=)?HB
@ :q B`8 $DI;3Y8A?<7KYL]K6>I;=<98 :78A59>JH:TI*8A5SmL]:7>J<736?b^b):78;8ABH36K6LC=)KY>?bN<7E8V8ABb)8A54>)O <7E8Vb):T=d'E   8;<
 mn8
=D578;<c>)O :78A57>J:TI*8A5`57dH:78A=)B]>h[)8;:f=DK6=:Tb)8 E8;<98;:T>)b)8A?8;>JH54?8;,< " >):  `F>):S8A=)ITE :78A59>J:"I*8  
?  <7EH=<`dH:7>h[W36B8A5 l=)?HB  0@,:BB8A?>)<98A5<7E8G:78A59>J:TI*8 * 5 )8;L 
   @,6B B8A?H>)<98A5 <7E8GkD=)ITEH36?H8a36
mn8&<7E8^578;<G>)O=)K6Kdn>575T3Ym'KY8 )8;LW5  + 8 =)575TJHkl8D=]EH=)57E%O JH?HI*<736>?  g /  5TJHITE <7EH=<
 8;<
:78A59>JH:TI*8  k&=d'5c<9>N<7E8Rdn>36?< : 4@  @,6B BS36?]= k&8;<9:T36IG57d'=)I*8 @ (B  "`E8;:78  365c<7E8Vd>3 ?<
598;<=)?HB V3 5 <7E8SBH3659<7=)?'I*8ckl8;<9:T3 Ic=)5 57E> "`?^3 ?DFP3YbJ:784q    + 84I;=)? J'598c=VEH=)57E^O J'?HI*<73Y>?D5TJHITE =)5
U S1   $  &'<9>Gdn>)d'J'K6=<98<7E8`kl8;<9:"36I59d'=)I*8SJH?H3YO >):Tk&KYL  `>)<98S<7EH=<[W36=4<7EH365:78A59>J:TI*8`8AkGmn8ABHBH3 ?b =
k&=)I"EH36?8 365kD=dHdn8AB^>?<9>l<7E8a598;<     g 8    4@  @,6B B @   &@,6B  B
?H=)kl8AK6LV<7EH8c598;< >)O+kl8;<9:T36I M57d'=)I*8cdn>36?<75 =)5T573Yb?8ABD<9>G<7E8S:78A59>J:"I*8A5 <7E8Sk&=)ITE'36?8 dH:T>h[W36B8A5  - EJH5
= 5T36?bKY8Ck&=)I"EH36?8 I;=)? E'=A[)8 kRJHK6<73Yd'KY8 KY>WI;=<73Y>?H5^36? <7E8 kl8;<9:T36I]59d'=)I*8 >?8 KY>I;=<736>? O >):^8A=)I"E
:78A59>JH:TI*8a<7EH=<`36<EH>59<7
5 
4JH:?H(8 '<59<98;dC365 <9>lI*>?H59<9:"JHI*< = BH3Y:78AI*<98AB :T=)?HBH>kb):"=d'ENO_:T>k<7EH8Sdn>36?<75 8AkGmn8ABHBH8AB 3 ?  
+ 8f=)5757JHk&8c<7EH=< 8A=)ITE ?H8 "`KYL M=:7:T3Y[)8AB^k&=)ITEH3 ?8 365 36?H36<736=)K6KYL I*>?H?8AI*<98AB <9>l59>kl8S>)<7E8;:k&=)ITE'36?8
36?   j=)ITE k&=)I"EH36?8 b)8A?8;:T=<98A5a<7E8R>JH<9b)>36?b K636? W5 O >):48A=)ITE [)8;:T<9(8 '    36?HB8;dn8A?HBH8A?<7KYL 
+ 8 b3Y[)8 B8;<7=)36K 5 =mn>J<N<7E8 ?JHkRm8;: >)OG>JH<9b)>36?b K636? W5 36? >JH:Ckl>BH8AKc36? K6=<98;:C578AI*<73Y>?H5  1
K636? @  0B !"#]5736k&d'KYL BH8A?>)<98A5&<7EH=< W?> "`5&<7EH=$< 3 5l<7E8]kD=)ITEH36?H8 <7EH=<DdH:T>h[W36B8A5
<7E8^:78A59>J:TI*8 k&=dHdn8AB%<9> ~E8A?'I*8 1" 8NI;=)? [W3Y8 " <7EH8Db):T=d'E =)5R=][W3Y:7<7JH=)K >,[)8;:TK6=hL ?8;,< " >): %>)O
36?O >):Tk&=<736>? d/3Y8AI*8A5 >)4O "`EH3 ITE =:78f59<9>):78AB KY>WI;=)K6KYL&=<8A=)I"ECk&=)ITE'36?8   =)I"EH36?8 I*>?'59<9:TJHI*<758A=)I"E
K636? CmL (8 'W8AI;J<736?bC<7EH8&598A=:TITE =)KYb)>):T3Y<7E'k <9> KY>WI;=<98&<7E8l8A?HB  d>3 ?<4>)O<7EH=<GK63 ?   %Oj<7E8&k&8;<9:T36I
59d'=)I*8^365f?>)<adn>)d'JHK =<98AB BH8A?H598AKYL]8A?>JbE #<7E8&ITE>3 I*8D>)O=)? 8A?HB  dn>36?<fk&=AL :78A57J'KY<f36? = [)8;:7<9(8 '


 


















 

























+  .DF>
0;.L0 j 2
0y4r@0 j 1. J;.L2J;.LKoQF5r0;46uF56.>8CEDR.1J;9y@P> J2%J;.-9k>MQBJ;=-.0 j 20 j 2 9 0 j .9;2
K. G.1mnNFQR0.itR469*0;9y>MD9k. G.1J32 5
KL2 = j 46DR.-9-sa0 j .1m%2 565 j 2 9 j ;0 >p0 j . 9;2
K.O56>V=82
0;46> D NFQR0E.-2 = j >8CEDF.1J~=1J;.820;.-9~460;9E>8CEDH46DS7B.-u.-DF7R.-DV05646D a9-€

q)q

VIRTUAL
ROUTE

NODES

KEYS

VIRTUAL
LINKS

v4

v2
v1

PHYSICAL
LINKS

HASH
ACTUAL
ROUTE

v1 v2 v3 v4
v3

PHYSICAL NETWORK
(RESOURCES)

VIRTUAL OVERLAY
NETWORK

FP3YbJ:78Gq   g 1c?C=m/59<9:T=)I*<`kl>WB8AKn>)O =&BH3 59<9:T3Ym'JH<98AB^EH=)5TE <7=m'KY8 

*I >):7:78A57d>?'BH36?b <9> =)? =m/598A?<D:78A59>J:TI*8  %? <7E'=<DI;=)598  I"E>>598A5D=)5^3Y<75l?8A3YbEmn>): <7E8 d>3 ?<
dH:78A578A?<lI;KY>598A57<V<9> <7E8N>):T36b36?H=)Kj8A?HB  dn>36?< ' >h[W36?b <9> ?8A=:TmL [)8;:7<736I*8A5 "`36K K 36?<9:7>WBHJHI*8N59>kl8
m'36=)5V36? <7E8 K 36?  BH3659<9:T36m'J<73Y>?m'J<G<7EH8 k&=b?'3Y<7JHB8^>)O8;:7:7>):lB>8A5R?>)< =dHdn8A=:V<9>]mn8^K =:7b)8 =)5
57E> "`?C36? =Dkl>):78aB8;<7=)36K68ABCB8A57I*:T36dH<73Y>? >)O#<7EH8ab):T=d'ECI*>?'59<9:TJHI*<73Y>?Cb3Y[)8A?C36? U8AI*<736>? q  ( 
S=A[W36?b I*>?H59<9:TJHI*<98AB <7E8R>h[)8;:TK =AL ?8;7< "j>): C>)O36?O >):Tk&=<73Y>? "j8 I;=)? ?> "0JH598V3Y< O >):c:78A57>J:TI*8
KY>WI;=<73Y>? V1c5a?H8 "0kD=)ITEH36?H8A5f=:7:T3Y[)8 +>K B kD=)ITEH36?H8A5fB8;d'=:7< +=)?HB (8 '3659<73 ?b^>?H8A5a=)KY<98;:f<7E8&598;<f>)O
:78A59>JH:TI*8A5 <7E8;LNdH:T>h[W36B8f>): 8;[)8A? I*:T=)57E '<7E8a:78A59>JH:TI*8A5 =A[=)36K6=m/KY8G36?N<7E8R59L57<98Ak ITE'=)?b)8  1<S=)?L
<736kl8  K68;< 
mn8^<7E8 578;<R>)O =h[ =)36K =m'KY8D:T8A59>J:TI*8A5 =)?HB  m8^<7E8NI*>):7:78A59dn>?HBH3 ?b >h[)8;:TK =AL
?8;7< "j>):   1:78 )J8A59<+mLak&=)ITE'36?8 <9>cK6>I;=<98 :78A59>J:"I*8  =<<73 kl8  365#598;:7[)8ABV36?a=`5T36kld'KY8  KY>WI;=)K63 ;8AB
k&=)?H?H8;:Ag I;=)K6I;JHK =<98A5 <7E8ckl8;<9:T36I M59d/=)I*8cdn>36?<  <7EH=<jI*>):7:T8A59dn>?HBH5 <9>  =)?HBD=a:78 )JH8A59<jkl8A5T57=b)8
365<7EH8A? :7>J<98AB >,[)8;:  <9>  O_:T>k <7E8a[)8;:7<9(8 ' 3 ?  l<7EH=<c365 I;KY>598A57< <9> '   =)I"E k&=)I"EH36?8a?H8;8ABH5
>?HKYL KY>WI;=)KS36?O >):Tk&=<73Y>? ?H=)k&8AKYL 3Y<75 598;<D>)OG?H8A3YbEmn>):T5^36?  <9> d/=:7<736I;3Yd'=<98 36? <7EH8]:78A57>J:TI*8
KY>WI;=<73Y>?  ! >J<736?HbC365aB>?8lb):T8;8ABH36KYL mL O >): " =:"BH36?b <7E8^kl8A5757=b)8^<9>C<7E8Dk&=)I"EH36?8^k&=dHdn8AB <9>
= kl8;<9:T36I M57d'=)I*8 dn>36?< =)5&I;KY>578 <9>  =)5 d>5T573Ym'KY8  -`E8^d':7>)m'KY8Ak >)O`:T8A59>J:TI*8CKY>WI;=<73Y>?365V<7EJH5
<9:T=)?H5TK6=<98ABC36?<9>l:7>J<736?Hbl>? :T=)?HB>k b):T=d'EH58AkRmn8ABHB8ABC36? =lk&8;<9:T36Ia59d/=)I*8 
-#>D= /H:"59< =dHdH:7> 'W3 k&=<73Y>? >J:c=dHdH:7>=)I"E 365573 k&36K6=:<9>D<7EH8 957k&=)K6K  " >):TK6B  :7>J<736?b " >): NmL
aKY8A3 ?mn8;:7b $ (*( & 3 ? "`EH36I"E d>3 ?<753 ?l=4,< " > MBH36kl8A?H5T3Y>?H=)Kb):T3 Bl=:78 I*>?H?8AI*<98AB^mL K636? 5PB:T= "`? O :7>k
=V?>):Tk&=)K63 ;8AB&dn> " 8;: MK6= " B'3659<9:T3Ym/J<73Y>? @;"`3Y<7E^(8 'Wd>?H8A?<:o B =)?HB :7>J<736?bR365jBH>?8cmL&EH=h[36?HbR8A=)I"E
?>WB8 O_>): " =:TB 8A=)I"E%d'=)I )8;<G<9> <7E8&?H8A3YbEmn>):aI;KY>578A59<f<9> <7E8ld'=)I )8;< * 5RB8A57<736?H=<73Y>?  aKY8A3 ?mn8;:7b * 5












g > 0;.O0 j 2
0?9k4<DR=-. l .-DF.iJ32 565rmH= j 2 DRlM.-9ECE4r0 j 0;46K.MsS2
DS7:KL2-m9ku.-=-4rqF=82 565rmH= j 2
DFlM. C j 4<56. 0 j O
. J;. aQR.-9*0~469?N.-46DRl
9k.1J G.-7 B
s 0 j ./J;. VQR.-9*0EK.-9k9;2 l .KL28mLN.?J;>MQR0;.-7:> G.1J~2o9k.1J;46.-9~> @Y7B4 .1J;.-DV0E> G.1J;5<2-m%DR.10[C > J a9 
       €

q


=dHdH:T>=)ITE%365G59>kl8 "`EH=<fm':T3Y<9<7KY8 mn8AI;=)JH598&3Y<a=)5T57JHkl8A5a= I*>?'59<7=)?<V?J'kGmn8;:f>)OK636? W54KY8A=A[W36?b 8A=)I"E
?>WB8  QS8;<9<73 ?b]b)>>WB dn8;:7O >):Tk&=)?HI*8^JH5736?b]EH365a<98AI"EH?H3 )J8 =)K659>]BH8;d8A?'BH5a>?EH=A[W36?b = I*>kld/KY8;<98
<," > MBH36k&8A?H573Y>?H=)KPb):"36B >)Ojdn>36?<75  + 8^=:78&?>)<a=)5a36?<98;:78A59<98AB 36? )8;8;d'36?b <7E8&BH8;b):78;8&B>"c?%=)?HB
=)I;I*8;dH<l= K =:7b)8;:VBH8;b):78;8^<9> b)8;< kl>):78 :7>)m'JH59<7?H8A575 C1SK659> 1"j8NI;=)?H?>)< =)5757JHk&8^= I*>k&d'KY8;<98 b):T36B 
mn8AI;=)JH598^O =)JHK6<a<9>KY8;:T=)?HI*8 365a>?H8D>)O>J: k&=)36? >)m 
 8AI*<73Y[)8A5 =)?HB 573 ?HI*8Dk&=)I"EH36?8A5V=:78^kD=dHdn8AB <9>
dn>36?<75l36?<7E8Ckl8;<9:T3 I 59d'=)I*8Cm'=)578AB >? "`EH=<l:T8A59>J:TI*8A5D<7E8;L d':7>h[W36B8 j<7E8;:78 k&=hL mn8Ck&3 575736?b
dn>36?<75 
- EH8DJH598^>)O :"=)?HB>k b):"=d'EH5G3 5ad'=:7<7K6L kl>)<736[ =<98ABmL =]B8A573Y:T8&<9> )8;8;d<7E8^B'=<7= 59<9:TJ'I*<7J:78
57I;=)K6=m/KY8l=)?HB <7E8l:7>J<73 ?b =)KYb)>):T3Y<7EHk =)5GB8AI*8A?<9:"=)K63 ;8AB =)5fdn>575736m'KY8  =)5f:T=)?HBH>k b):T=d'EH5fI;=)? mn8
I*>?H59<9:"JHI*<98ABCKY>WI;=)K6KYL "c3Y<7E>J< bKY>)m'=)K I*>>):TBH36?'=<73Y>?  1c?H>)<7E8;: 36kldn>):7<7=)?<:78A=)59>? 365<7EH=<:"=)?HB>k
b):T=d'E'5`=:78VmL ?H=<7JH:78G:7>)m/JH59<`=b=)36?'59<cO =)36K6JH:78A5;gj=^?>WB8 M36?HBHJ'I*8ABC57JmHb):"=d'E >)O=&:"=)?HB>k b):"=d'E
365 b)8A?8;:T=)K KYLD59<736K K/= :T=)?'B>k b):T=d'E W<7E8;:78;O >):78 <7E8aB'3657=dHdn8A=:T=)?HI*8c>)O =VO 8 " [)8;:7<736I*8A5 H=)K6>?b "`3Y<7E
=)K6K <7E8A3Y:f36?'I;36B8A?<cK636? 5 @ BHJ8 <9>NO =)3 K6J:78V>)Oj59>k&8 kD=)ITEH36?H8A5f36kld'KY8Ak&8A?<736?Hb&<7E8lBH=<7= 59<9:TJ'I*<7J:78 B
"`36K KH59<736K6K/=)K6KY> " :7>JH<736?b "cEH36KY8 <7EH8c:78;d/=)3Y:jkl8AI"EH=)?H365Tk365j<9:7LW36?bR<9> EH8A=)K'<7E84BH=)k&=b)8  - E8`:T8;d'=)3Y:
kl8AI"EH=)?H3657k =)K659>mn8A?8 /H<75^O_:T>k <7EH8 JH578]>)Oa:"=)?HB>k b):T=d'EH5 c5736?HI*8 kl>59< :T=)?HB>k 59<9:TJ'I*<7J:78A5
:78 )JH3Y:78 KY8A575 " >):  <9> k&=)3 ?<7=)36?<7E8A36: kVJHI"E "j8A= )8;:D3 ?[=:T36=)?<75 I*>kld'=:78AB<9>%kl>):78N>):7b=)?'3 ;8AB
BH=<7=&57<9:TJHI*<7J:78A5 
jkGmn8ABHBH3 ?b <7E8Gb):T=d/EC36?C=^kl8;<9:T36Ia57d'=)I*8REH=)5`<7E8G[)8;:TLN3 kldn>):7<7=)?<`dH:7>)dn8;:7<ML <7EH=<c<7E8G>?HK6L
36?O >):Tk&=<736>? ?8;8AB8AB<9> KY>WI;=<98 =]:T8A59>J:TI*8N365R<7E8 KY>I;=<736>? >)OS3Y<75RI*>):T:78A59dn>?HBH36?Hb kl8;<9:T36I M57d'=)I*8
dn>36?<  -`EH=<fKY>I;=<736>? 3 5cdn8;:TkD=)?8A?< nmn>)<7E 36? <7E8l598A?H598V>)O mn8A36?b JH?H&= %n8AI*<98AB mL]BH3659:TJHdH<73Y>?C>)O
<7E8lBH=<7=N59<9:TJ'I*<7J:78  =)?HB 8A=)5736KYL]I*>kld'J<7=m'K68RmL]=)?L]?>WB8V<7EH=<f598;8 W54<7E8 :78A59>J:TI*8 RUW>  "`EH36KY8
<7E8Rd'=<9<98;:T?]>)OK636? W5mn8;,< " 8;8A?]?>WB8A5ck&=AL mn8GBH=)kD=b)8AB]>):SB8A59<9:7>,L)8AB mL O =)36K6J:T8S>)O?H>B8A5`>):c>)O
<7E8 JH?HB8;:"KYL3 ?b&I*>k&kVJH?H36I;=<73Y>? 59LW59<98Ak n<7E8lkl8;<9:"36IR57d'=)I*8RO >):Tk&54=)? 36?[J'K6?8;:T=m'K68fO_>JH?'BH=<73Y>?
>h[)8;: "`EH3 ITEN<9>&m'J'36K6B^<7E8a8;d'E8Ak&8;:T=)Knd'=:7<75>)OP<7E8RBH=<7=&59<9:TJ'I*<7J:78 




 /16

4J:4=dHdH:T>=)ITE

*, #/1(



 

0



63 5S8A57598A?<736=)K6K6LC=)? =m'59<9:T=)I*<fkl>WB8AK >)O =N2 - "`36<7E]= O 8 "0k&>BH3 /'I;=<73Y>?H5 f2 - 5
JH598&kD=)ITEH36?H8&36B8A?<73>/H8;:T5f=)?HB%:78A59>J:TI*8 )8;LW5a<9>]B8;<98;:Tk&36?H8l<7E8&KY>WI;=<73Y>?H5f>)O<7E8DkD=)ITEH36?H8A5a=)?HB
:78A59>JH:TI*8A5V:78A59dn8AI*<73Y[)8AKYL 36? <7E8D>,[)8;:TK6=hL kl8;<9:T3 I^59d/=)I*8 %j=)ITEk&=)ITE'36?8^3 5G:78A57d>?'573Ym'KY8 O >):l59>kl8
57Jm/598;<>)OP<7E8G:78A57>J:TI*8A5`=)?'B 8A3Y<7E8;:`kD=)36?<7=)3 ?H5<7E8G=)B'B:78A57598A5 >)O <7E8a>)<7E8;:Sk&=)ITEH3 ?8A5<7EH=<SE>59<
*q 

<7E8A598 :78A57>J:TI*8A5S>):Ck&=)36?<7=)36?H5 <7E8 :78A59>JH:TI*8A5N<7E8Ak&598AK6[)8A5Va<MLd'36I;=)K KYL <7EH365N57JHm'598;<NI*>?H573659<75N>)O
:78A59>JH:TI*8A5<7EH=<`=:T8GKY>WI;=<98AB ?8A=: <7EH8Gk&=)ITE'36?8 * 5 KY>WI;=<73Y>?C3 ?N<7E8akl8;<9:T36If57d'=)I*8 
+ EH36KY8>J:jkl>BH8AK3655736kD36K6=: <9>a<7E8`2 - 536<P3 5 
 #     I*>kld/=:78ABl<9>a<7E8  $& 
2 - 5 1" 8DdH:7>)dn>598l<7EH8^JH598D>)O=]kl8;<9:T36ID59d'=)I*8^=)5R=)?
+  =dHdH:7>=)I"E >)O<7E8 2 - 5  1S5G36? 
>h[)8;:"K6=AL ?H8;,< " >):  =)?HB 8AkGmn8AB kD=)ITEH36?H8A5c=)?HB :78A59>J:"I*8A5c36?C<7EH365 >,[)8;:TK6=hL ?8;,< " >):   c>" 8;[)8;: n>J:
=dHdH:T>=)ITEDB'3 %8;:"536?l<7E8 " =hLl<7EH365 8AkRmn8ABHBH36?ba3 5=)I*<7JH=)K6KYL B>?8  + 8cdH:7>)dn>598<7EH=<j8A=)ITE k&=)ITE'36?8
36?&<7EH8c?8;7< "j>): ^EH=)5jkVJHKY<736d'KY8 KY>WI;=<73Y>?H5  G3 ?&<7E8Skl8;<9:T36Ic59d'=)I*8 W>?8`O >): 8A=)ITE :78A59>J:"I*8c<7EH=< 3Y<
E>59<75  - EJH58A=)I"E [)8;:7<9(8 '   l:78;d':78A598A?<75>?8G:T8A59>J:TI*8GEH>59<98ABCmL k&=)ITEH3 ?8  - EH3653 kld'K63Y8A5
<7EH=< EH=)5`<9>^k&=)3 ?<7=)36?]K636? W5=)5 dn8;:c<7E8GITEH>598A?]K 36? NBH3659<9:T36m'J<73Y>?^O_>):  +$ >)OP36<75 :78A59>JH:TI*8AV5 /36O
EH=)5  :T8A59>J:TI*8A5f=)?HB 8A=)I"E%[)8;:7<9(8 ' 36? <7E8&kl8;<9:"36I 59d'=)I*8&EH=)5 K636? W5  EH=)54<9>Ck&=)3 ?<7=)36? @ B
K636? 5 
4JH:V=dHd':7>=)ITEb3Y[)8A5 <7EH8^mn8A?8 /H<V>)O   
  6    6   3  8  8A=)I"E k&=)ITEH3 ?8 3 5R:T8A59dn>?H573Ym'K68
O >): <7EH84=)B'B:78A57598A5 >)O#<7E84:78A59>J:TI*8A5 <7EH=< 36< E>57<75 !"`EH36I"E^36?'I*:78A=)598A5k&=)?H=b)8A=m'3 K63Y<ML^=)?HBN598AI;J:T3Y< L 
c>Ck&=)ITEH3 ?8V?H8;8ABH54<9> d'K6=)I*8 3Y<754<9:TJH57<S36? 59>k&8l>)<7E8;:ak&=)ITE'36?8V<9>Ck&=)36?<7=)36? <7E8l=)BHB:78A575S>)O3Y<75
:78A59>JH:TI*8A5  1S?>)<7E8;:N57k&=)K K`=)B[=)?<7=b)8%3 5&<7EH=<N5736?HI*8]<7E8 :78A59>J:TI*8 =)BHB:T8A575D365 598;:7[)8AB mL <7E8
57=)kl8 k&=)ITE'36?8 <7E'=<^E>59<75^<7E8]:78A59>J:TI*8  ?H>%(8 '<9:"= I*>k&kVJH?H3 I;=<73Y>? 365D:78 )JH3Y:78AB <9>59<7=:7< <7E8
:78A59>JH:TI*8 <9:T=)?'59O_8;: =O_<98;:N3Y<75^KY>I;=<736>? EH=)5Dmn8;8A? B8;<98;:TkD36?8AB  1<D<7EH8]57=)kl8]<736kl8  3Y<DdH:78A598A?<75
I*8;:7<7=)36? B'>3 $DI;JHKY<7368A5  j=)ITE k&=)I"EH36?8fEH=)5 <9>&k&=)3 ?<7=)36?N= K6=:7b)8f?JHkRm8;:>)O K636? WV5  "cEH36KY8c<7EH365365?>)<
=)? 3 5757J8D3 ? <98;:Tk&5R>)O59d'=)I*8N=<G8A=)ITEk&=)I"EH36?8^=)5G8A=)I"E K63 ?  3 5G?>)<7EH3 ?b m'J<a<7EH*8 % @ =)BHBH:78A575a>)O
=)?>)<7E8;:ck&=)ITEH3 ?8f36? <7E8a59LW59<98Ak H3Y<I;=)? :78A5TJHKY<36?N=lKY>)<>)O#>,[)8;:TE8A=)B O >): k&=)36?<98A?H=)?HI*8a=)5`= d'=:7<
>)O <7E8l:78;d'=)3Y:ak&8AITEH=)?H3 57k  % Oj8A=)ITE ?>BH8ld8;:"3Y>B'36I;=)K6KYL ITEH8AI W5a<7E8&59<7=<7J'5a>)O3Y<75f?8A3YbEmn>):T5f=)?HB
36?H36<736=<98A5c=)I*<736>?H54<9>N:78;d'=)3Y:4K636? W5 <9> O =)JHKY< L ?8A3YbEmn>):T5 n3Y<4I;=)? I;=)JH598l
= '>>WB >)O kl8A5757=b)8A5ab3Y[)8A?
<7E8 K6=:Tb)8 ?JHkRmn8;:P>)O?8A36bEmn>):T5 dn8;:?>WB8  % ?l=)BHBH36<73Y>? )KY>=)Blm'=)K =)?HI;36?b4k&=ALVmn8 5 )8 " 8ABlmn8AI;=)JH598
3YO+=RO_8 " k&=)I"EH36?8A5j> "c? k&>59<>)O+<7E8S:78A59>J:TI*8A5 <7EH8;L "`36K6KHm8c:78A59dn>?H5736m'KY8O >):=)?NJH?JH57J'=)K6KYL K6=:7b)8
d'=:7<>)OP<7E8a?H8;,< " >): Ck&=)36?<98A?H=)?HI*8 
4? <7E8l>)<7EH8;:aEH=)?HB +2 - 5f?H=<7J:T=)K KYL dH:7>,[36BH8 K6>=)B m'=)K6=)?HI;36?Hb =)?HB k&3 ?H36k&3 ;8R<7E8l?J'kGmn8;:
>)OK636? W54dn8;:Gk&=)I"EH36?8  c>" 8;[)8;:  <7E8;L B>]?>)<adH:7>,[3 B8&I*>?<98A?< KY>I;=)K 3Y<ML  =)?HB <7EJH5G36?'E8;:78A?<7KYL
=)5757J'kl8`<7EH=<=)K6K/<7E8`dn8;8;:T5 598AK '8A5757KYLlk&=)36?<7=)36?D<7E8S=)B'B:78A57598A5j>)O+<7E8c:78A59>J:"I*8A5 W>):j<7E8S:78A59>JH:TI*8A5
<7E8Ak&578AKY[)8A5 H8;[)8A? <7E>JbE <7E8;L =:78a=)I*<7J'=)K6KYL dH:7>h[W36B8ABNmL >)<7E8;:ck&=)I"EH36?8A5`36?N<7E8G59LW59<98Ak 
+ 8G?H>)<98f<7EH==< " 8aI;=)? 8A=)5736KYL =)B>)dH<<7E8aK6>=)BNm'=)K6=)?HI;36?HbRdH:T>)d8;:T<73Y8A5 >)O 2 - 5 36?N>J: BH8A573Yb? 
q(



















% ?H59<98A=)B^>)OnkVJHKY<736d'KY8 KY>WI;=<73Y>?H5 O_>): =Gk&=)I"EH36?8S=)5 dn8;: 3Y<75 :78A59>J:"I*8A536< I;=)?^E'=A[)84=G5736?HbKY8 KY>WI;=<73Y>?
m'=)598AB >? <7EH8&EH=)57E [=)K6J8 >)Oj3Y<75f3 B8A?<73 H/ 8;: VUW3 k&36K6=:S<9>C2 - 5 "j8&I;=)?%=)K 59> EH=)57E <7E8l:78A57>J:TI*8
)8;LW5C<9> B8;<98;:"k&36?8 `" E'36ITE k&=)I"EH36?8 c" 36K6KSmn8 :78A59dn>?H573Ym/KY8 O >): <7E8 :T8A59>J:TI*8A5   =)ITE k&=)ITE'36?8
"`36K K k&=)36?<7=)36? 36?HO_>):TkD=<73Y>?%=mn>J<a<7E8^:78A59>J:"I*8A5a<7EH=< EH=)57E <9> <7E8 57=)kl8^K6>I;=<73Y>?@ >):V?H8A=:7mL
KY>WI;=<73Y>?H5?B =)5 3Y<7598AK6O  - EH3 5Pb3Y[)8A5 <7EH8`?H=<7J:T=)K'KY>=)B&m'=)K =)?HI;36?bfdH:T>)d8;:T<73Y8A5=)5 " 8AK6KH=)5 k&36?'36k&3A=<73Y>?
>)O+59d'=)I*84=< 8A=)ITE k&=)I"EH36?8c<7EH=<j=:78 )8;L&O 8A=<7J:78A5 >)O+=V2 -  e JH< 3Y<j=)K659> KY8A=)BH5<9>V<7E84KY>575 >)O+<7E8

36kldn>):7<7=)?< dH:7>)dn8;:7<MLD>)OI*>?<98A?<`KY>WI;=)K63Y< L 2S8;d8A?'BH36?bR>?^<7EH84=d'd'K636I;=<73Y>?^<7EH=<<7E84dn8;8;: <9> dn8;8;:
59LW59<98Ak 365JH598ABDO_>): =)?HB^B8;dn8A?HBH36?b4>?*"`E8;<7E8;: 598AI;J:T3Y< Ll>):jKY>=)BDm'=)K6=)?HI;3 ?ba365 k&>):78c36k&d>):T<7=)?<
>?8a>)O <7E8a7< "j>^=dHdH:7>=)I"E8A5`I;=)? m8a5TJH3Y<7=m'KYL^JH598AB 
% ? <7E8 598AI*<73Y>?'5P<7EH=< O_>K KY> "  "j8dH:T8A598A?<P>J: :T8A57JHKY<75 "`E'36ITE I;=)?lmn8=dHd'K6368ABG<9>fmn>)<7El57I*8A?H=:"3Y>5
=)5 "j8R:78;O_8;:S<9> <7E8R?JHkRm8;:`>)O d>3 ?<75c36?C<7E8R>h[)8;:TK =AL kl8;<9:"36IG59d/=)I*8GO >):c>J:c:78A57JHK6<75  + 8VB> ?>)<
I*>k&k&36<j<9>lE> " <7EH8S:T8A59>J:TI*8A5=:78fBH3657<9:T3Ym'J<98AB 59> =Rdn>36?<j3 ?D<7E8fkl8;<9:"36Ic57d'=)I*8fI;=)? I*>):T:78A59dn>?HB
8A3Y<7E8;:j<9>G=GkD=)ITEH36?H8 >):j=G:78A59>J:TI*8  c>)<98`<7EH=< "`E8A? " 8c5T=AL 
 1  "j8S=)I*<7JH=)K6KYL :78;O 8;:<9>R=  + 
36?N<7E8G[3Y:T<7JH=)K>h[)8;:TK6=hLC?8;,< " >):  /?>)< = $&% 2 kD=)ITEH36?H8a36?N<7E8G?8;7< "j>):  


+




/ /

U>kl8 >)Oa>J: Jd'd8;:^mn>JH?HBH5*"`36K6Kmn8]dH:7>h[)8AB J'5736?b =" 8AK6K  W?>"c? Jd'd8;:^mn>JH?HB >)O a=:7d +
2 4 $ ( ,p &+>? dH:7>)m/=m'36K63657<736I :78AI;JH:7:78A?HI*8a:T8AK6=<73Y>?H5  + 8 "`36K6K:78A59<7=<98G<7EH365mn>JH?HBN=)5  8Ak&k&=Dq   =)?HB
<7E8A? 57EH> " E>" = 5T36k&36K6=:c<98AITEH?'3 )JH8VI;=)? mn8 JH598AB <9> b)8;< 2 
   
 # % "`3Y<7E 59>kl8l=)BHB'3Y<73Y>?H=)K
I*>?HBH36<73Y>?H536? - EH8;>):78Ak q  q 


 
   
 












 




 




$

 




@  B  & *

/  
 # & 

  


  



 $ + 




 $




  `g  .

&




   +%/ 0 2 % 23#

@  B %  
  



+$ 

@q  B



& /,"
 1 + 10 *# 

. 


  
  
*  4

- E'365mn>JH?HBCE'=)5`= ?H36I*8ad'ELW5736I;=)K+36?<98;:7dH:T8;<7=<73Y>? %OP36< <7=)8A5S>?8R598AI*>?'B <9> 
 J'kld B>"`?  
kl8;<98;:T5 O :7>k 
 <7E8A?"j84=:78S<9:T=A[)8AK63 ?bR=<=R:T=<98c>)O  Gkl8;<98;:T5 dn8;:j598AI*>?'B B'J:T36?bf<7E'=<3 ?<98;:7[=)K 
+ E8A? " 8Rkl>,[)8Gd'=)57<c59>kl8Gd>5T3Y<73Y>? j" 8V=:78G<9:T=h[)8AK636?b^=<`<7E8G=h[)8;:T=b)8l59dn8;8AB  lB8;<98;:TkD36?8AB

q,

mL >J:&57<7=:7<736?b dn>36?< 
 %O_>):&<7EH8C36?<98;:T[ =)K  UW36?'I*8  365l?H>?HB8AI*:78A=)573 ?b jJH5T36?b 
 =)5&>J:
8A59<736kD=<98AB%59dn8;8AB%JH?HBH8;:78A59<736k&=<98A54>JH:a=)I*<7JH=)K 59dn8;8AB "`EH8A? d'=)575736?Hb  - E8&36?<98;b):T=)KI*>kld/J<98A5
<7E8l<736k&8V<9> b)8;<G=)K6KP<7E8 "=AL <9> ;8;:7> 36O "j8^JH598 
 =)5f>J:G36?'59<7=)?<7=)?H8;>JH5f59dn8;8AB "`E8A? d'=)5T5736?b
dn>573Y<73Y>?  NUW36?HI*8l>J:f8A57<736k&=<98&>)O>J:G57d8;8AB 3 5aKY> " @ >?%=A[)8;:T=b)8 B  >JH:a8A59<736k&=<98D>)Oj>J:G<736kl8
"`36K K/mn8fEH3YbE b3Y[3 ?bl=)?CJdHdn8;:mn>JH?HB >? <7E8R=)I*<7JH=)K (8 'Wd8AI*<98AB <736kl8 



  















% ?]<7E'3654598AI*<73Y>?9" 8 dH:78A598A?<4>J:aKY>"j8;:fmn>JH?HB'5`>? :7>JH<736?b  + 8DI*>?H5T36B8;:Sb):78;8ABL :7>J<736?bN36? =
b):T=d'E8AkRmn8ABHB8AB36?= K636?8 `" E8;:78 8A=)ITE ?H>B8N365 I*>?H?8AI*<98AB 9< > 36<75V3 k&kl8ABH36=<98N?8A3YbEmn>):T5 =)?HB
<9> kRJ'KY<73Yd'KY8RKY>?bMBH3657<7=)?HI*8V?H8A3YbEmn>):T5SITEH>598A? =)I;I*>):TBH36?Hb^<9> =/'W8AB K 36?  BH3659<9:"3Ym'J<73Y>?  + 8 b3Y[)8
KY>j" 8;: mn>JH?HBH5PO >): b):78;8ABHLl:7>J<736?bGO_>):  K63 ? RBH3 59<9:T3Ym'JH<73Y>? 57=<73659O L3 ?baI*8;:7<7=)36?^dH:7>)dn8;:7<73Y8A5 @ - E8 
>):78Ak q  q:B  + 8S>?HKYLlb3Y[)8S=Gm':T3Y8;O 36?<7JH3Y<73Y>?l>)O <7EH8cdH:T>>)O E8;:784=)5j<7E8cm/JHK V>)O+<7E8 " >):  " =)5B>?8

mL^<7E8RI*>M=)J<7E>):c=)?'B <7E8GB8;<7=)3 K65=:78amn8;L)>?HBN<7E8R57I*>)dn8f>)O <7E'365BH3657578;:7<7=<73Y>?
+ =8 " >JHK6B K63 )8j<9>fb)8;< K6>" 8;: m>J'?HBH5 >? <7E8dH:7>WI*8A575 B8A57I*:"3Ymn8ABR36?  8Ak&k&=aq   3 ?V=)B'BH3Y<73Y>?R<9>
JdHdn8;: mn>JH?HBH5 W=)?HB " 8 "`36K6K?>)<?8AI*8A575T=:T36KYL^m8f=m'K68S<9>lbJ'=:T=)?<98;8G<7EH=< 
 365=l?>?HB8AI*:T8A=)5736?b
O JH?HI*<73Y>?D>)
O   e J< " 8 "`36K6K59<73 K6KHJH598c<7E8457=)kl8Sm'=)5736I 3 ?<7JH36<73Y>? g -`E8c=h[)8;:T=b)8a59dn8;8ABD=< "`EH36I"E" 8
d'=)575  365f=<akl>59<f<7E8&kD= 'W36kVJHk =A[)8;:"=b)8^59dn8;8AB >)O=)?L 
 J'kld <7EH=<f<7= )8A5GJH54d/=)59<   + 8DI;=)?
/'?HB]<7EH365Sk&= '36kVJHk 57d8;8AB mLC<7= W36?b <7E8lk&= 'W3 kRJHk >h[)8;:a=)K K  (+JH?HO_>):7<7J'?H=<98AKYL <7EH365Sk&=AL
b3Y[)8SJH5<9>>RK6=:Tb)8`=)?D8A57<736k&=<98  % ?H59<98A=)B  "j8SITE>>5984=f<7E:78A57EH>K6B O_>): 957E>):7<  
 J'kld'5 I*>k&d'J<98
<7E84k&= '36kRJ'k59dn8;8AB^>)O57E>):T< 
 JHkld'5j>)O=<kl>59< O_>):=)K6K m8;7< "j8;8A?  =)?HB  - W=)?HB^E'=)?HBHKY8
<7E8 @ E>)dn8;O J'K6KYL :T=:78 B`KY>?b 
 JHkld/5 >)O kl>):T8R<7EH=)? mLCI*>?HBH3Y<73Y>?'36?bD=b=)36?'59<c<7EH8Ak 4UWJHm 
 8AI*<c<9>
<7EH365fI*>?'BH3Y<73Y>?H3 ?b "j8&I;=)? B8 /'?8l=)?%Jd'd8;:Smn>JH?HB  >? <7E8&=h[)8;:T=b)8^57d8;8AB d/=)575736?b   =)?HB
JH598f8A5T598A?<73 =)K6KYLD<7EH8G57=)kl8G3 ?<98;b):T=)K=)5 36? @ q   B<9>&b)8;<`=&KY> "j8;:cmn>JH?HB >? <7E8a<73 kl8 
+ 8a?> " b3Y[)8f=lKY> " 8;:mn>JH?HBD>?N<7E84(8 'dn8AI*<98AB <736k&8c<7= )8A? mLDb):T8;8ABLD:7>JH<736?bV>? = :"=)?HB>k
b):T=d'ED8AkGmn8ABHBH8AB&36?&=aK 36?8   =)ITE ?>WB8 36?l<7EH8`b):T=d'EDEH=)5(8 'Wdn8AI*<98ABD>J< MBH8;b):78;8S=< kl>59< =)?HB^365
=)K659>lI*>?H?H8AI*<98ABN<9>&3Y<7536k&kl8ABH3 =<98S?8A36bEmn>): >?N8A3Y<7E8;:5736B8  + 3Y<7E ?H>B8A536? <7E8fkl8;<9:"36Ic57d'=)I*8 
" 84I*>?'5736B8;: ,< " >l[ =:"36=)?<75 >)O#<7E8cb):T8;8ABLD:7>JH<736?b =)KYb)>):T3Y<7EHk =)?HBNB8;:T36[)8SKY> "j8;:mn>JH?'BH5O >):<7E8Ak
8)JH=)KW<9> @ KY>)b (@ KY>)bjKY>)b "B B =)?HB <9> @ KY>)b (@ KY>)bjKY>)b "B B =)559<7=<98ABD36? - E8;>):78Ak q  q FH>):
K6=:7b)8 [=)K6J8A5S>)O +=NKY> " 8;:fmn>JH?HB]>)
O @    B`>? <7E8 " >):T59< MI;=)598l:T>J<736?b <736kl8lI;=)? mn8VBH8;:T3Y[)8AB
















q*



[)8;:7L 5736k&d'KYL W=)5 O >K6KY>"c5 

 
   
 






*@ KY>)b






&


 

p ' '

)4" $ +

 0 % $ ,#  ,
*'
 #( 10-$ 
(+ +



*
  -2 (." /  #(  
 

+$)   $



 
 &,  



@   B 4

- 
 #( /10

   + 3Y<7E `K 36? W5PO_>):j8A=)ITE ?>BH8  " 8cI;=)?&:T8A=)ITEN=<jkl>57< 4?>WB8A5j=<j59<98;d 1c575TJHk&36?b
<7EH=< <7E8Nk&36?H3 kRJHk <736kl8 <9>]:78A=)I"E =)K6K ?>WB8A5V365 -     - EH3 5ab3Y[)8A5 = KY>" 8;: mn>JH?HB%>)O

@    Bj>?





F >):aI*>?'59<7=)?<f[=)K6J8A5S>)O n<7E8lKY>"j8;:4mn>JH?HB 365 @ KY>)b KY>)b KY>)b "B "`E'36ITE 365457Jm'57<7=)?<736=)K KYL
EH3YbEH8;:^<7EH=)? <7E8 <736kl8  @ K6>)b "B&<7EH=< I;=)? m8]>)mH<7=)36?8AB mL m'JH3 K6BH36?b =<9:78;8 @;"`EH3 ITE :78)J'3Y:78A5
B8;dn8A?HB8A?'I*8&36? <7E8 BH3659<9:T36m'J<73Y>? >? K 36? W5?B  - EJH5f<7EH8DKY>" 8;:Vm>J'?HB 57E>"`5G59>k&8D>)O<7E8DI*>57<75
36?HEH8;:78A?< >)O4=)5757JHkD36?b 36?HB8;dn8A?HBH8A?HI*8 =)?'B 59LkDkl8;<9:7Lm8;<7"j8;8A? =)K6K?>WB8A5l36?<7E8 b):T=d/E - E8
I*>59< >)OP59LWk&kl8;<9:7L 365:78ABHJ'I*8AB HE> " 8;[)8;: HO >):`K6=:Tb)8;: g "`36<7E  @ KY>)b "B >?HK6L^KY>)b K6>)b O =)I*<9>):"5
598;d'=:"=<98a<7E8GI*>59<75`>)O 59LkDkl8;<9:T36I4=)?HBC=)57Lk&k&8;<9:T36If59>K6JH<73Y>?H5 
+ 8DI*>?'5736B8;:f7< "j>C[=:T36=)?<75f>)O <7E8lb):78;8ABL :7>JH<736?b =)KYb)>):T3Y<7E'k  + 3Y<7E>JH<aKY>5754>)O b)8A?8;:T=)K63Y< L 
" 8R=)5757J'kl8a<7EH=<c<7E8a<7=:7b)8;<S>)OP<7E8R598A=:"ITE 365 K6=mn8AKY8AB p  % ?  
   
 .< 
 
     < /<7E8
=)KYb)>):T36<7EHk ?8;[)8;:G<9:"=A[)8;:T598A5V=CK63 ? C<7EH=&< " >JHK6B <7= )8 3Y<fd'=)59<R3Y<75f<7=:7b)8;<  U>C3YO <7E8&=)KYb)>):T3Y<7E'k 365
I;J:7:T8A?<7KYL =< *@  '06p B4=)?'B 3654<9:7LW36?bN<9>C:78A=)I"E p 3Y< "c36K6K kl>h[)8^<9> <7E8&?>WB8   "c3Y<7E <7E8
57k&=)K KY8A59<a?>?  dn>5736<73Y[)8lK6=mn8AK  @ 1 5T36k&36K6=:f=)I*<73Y>? 3654<7= )8A? O_>):   p  B%?    
 < 
 
 
   4< <7E8l=)KYb)>):T36<7EHk ITE>>598A5R= K636? C<7E'=<ak&36?H36kD3 ;8A5`<7EH8&BH3659<7=)?HI*8l<9> <7EH8l<7=:7b)8;<  "c3Y<7E>J<
:78;b=:TB <9> "`EH3 ITE 5736B8a>)Oj<7E8V<7=:7b)8;<4<7E8 >)<7E8;:48A?HB >)Oj<7E8 K636?  365  %? <7EH3 5cI;=)598  <7EH8V=)KYb)>):"3Y<7EHk
"`36K K#kl>,[)8D<9> = ?H>B8   "`E>578&K6=mn8AK E'=)5f<7E8&57k&=)K KY8A59<f=m'59>K6JH<98l[ =)K6JH8 9"`3Y<7E <73Y8A5fm':7> )8A?
=:7m'36<9:T=:T36KYL  4?8 M5T36B8AB^b):78;8ABL :7>J<736?b I;=)?Nmn8c<7EH>JbE<>)O =)5kl>WB8AK636?bV=)KYb)>):T3Y<7E'k&5 >? =Rb):"=d'E
"`3Y<7E =Dmn>JH?HBH=:7*L "`E8A? <7E8G<7=:7b)8;<cK6368A5>?C<7E8Gm>J'?HBH=:7L W>):c=)K6b)>):T3Y<7EHk&5 "cE8;:78G=)K6K K 36? W5d>3 ?<
36?N>?HK6L^>?8aB'3Y:78AI*<73Y>? @ =)5c36? \E>):TB $ * *o & B 
4JH:c:78A5TJHKY<75S=:78l59<9:7>?b)8;:4O >):f<7E8R>?H8 M5736B8AB I;=)598l<7EH=)? O >):S<7EH8R7< "j> M573 B8AB I;=)598  + 3Y<7E]>?8 
5736BH8AB^b):T8;8ABLD:7>JH<736?b !"j8f57EH> " = KY> "j8;: mn>JH?'BD>)O @ KY>)b (@ KY>)bjK6>)b "B B >?N<7E84<736kl84<9>l:78A=)I"E
pCO :7>k = dn>36?<aI"E>598A?JH?H3YO >):Tk&K6LCO_:T>k <7E8D:"=)?b)8  <9> <7EH=<R=d'd'K63Y8A54<9> =)?L%K63 ? ]BH3 59<9:T3Ym'J 
<73Y>? VF>):G7< "j> M5T36B8AB :7>J<73 ?b  "j8&5TE> " = KY> "j8;:Gm>J'?HB >)O @ KY>)b (@ KY>)b KY>)b "B B  "`36<7E 59>kl8




















.2 9k9kQRK./0 j 20EDF>a7R.19?2J;. 5<2 N.-56.87HNVmL46DV0;.-lM.1J;9?2 DF7%4<7R.1Da0;4r@ m:.82
= j DF>a7B.OCE460 j 460;9E5<2 N.15 €

q*-

h

   





h

h

   




 |Bv_,Y, Oh v  
 A
 |av[,A, /h v  


  



FP3YbJ:78Vq  og 243 %n8;:78A?<cK636? 5=:78VITE>578A? "`E8A? b)>36?b&O :7>k <7E8G59>J:"I*8G?>WB8a<9>"=:TBH5c<7E8a<7=:Tb)8;<
?>WB8 HB8;dn8A?HBH3 ?bR>? "`E8;<7E8;: <7EH8fb):78;8ABLN:7>J<736?Hb J'598ABC365>?8 M5T36B8AB >): <7"j>M5T36B8AB
I*>?H59<9:"=)36?<75c>?C<7EH8RBH3657<9:T3Ym'J<736>?  + 8RI*>? 
 8AI*<7J:T8R<7EH=<c<7E8A598VI*>?H59<9:T=)36?<75S=:78RJH?'?8AI*8A5757=:7L =)?HB
<7EH=< @ KY>)b (@ KY>)bjKY>)b "B B 365<7E8aI*>):T:78AI*<cKY> "j8;:`m>J'?HBNO_>):`m>)<7E k&>B8AK 5 


2
 

*+
 , +$











+


 (   $ 


 #( 0&
 /1023/(.  


%

&

  10

6



!






*+
 '$"!





#14



-



+

  & -
 #  10  $ ( 5 




 $   
  &- 
 #( / 0  $(











   + 

+

p







 
 

@ q  o:B
p

 /  
" +$

/

@ q  q:B



6 =

$

   2 +
5&  $



 2 # 10, $+!'    $ 
  2   

6 
 #( p 



+ 

   #(  
 (



'  6K6K >)>)bb  KY>)b )
 
 5 &  / 0  + 


  
 



   
$




 

 $  & 4#$
 ( 1''0)  
 #( 10-  +
  + 10  p 4

(' nK66K )> >)b b KY >)b *)
&

 

  ++ 

 
  $ 
 + #  *+
 23 *
 

 $ 
 



0)$  $ 
% -
 &" "2 2   $ "/ 01+ +4

&
 

 + 
 * / 01+'
 
 +  $ 
%  & &+ 23 *
 

 

# +  
 $

-

-, 




 $ 

$ 
    
  2 #&    # 2



/ #  
 ) 2 

.! !0/" 



   /+

& &+ 4

+ 8C=)K657>]mn8AK63Y8;[)8 <7EH=< <7E8Nmn>JH?HBI*>?<73 ?J8A5V<9>%E>K B 36?EH3YbEH8;:VBH3 kl8A?H573Y>?'5a<7EH=)?  m'J< =
5736k&d'KY8 8(W' <98A?H573Y>?^>)O <7E8SdH:7>>)O >)O4- E8;>):T8Ak q  qV365j?>)< 5TJ$DI;3Y8A?< <9> dH:7>,[)8c<7EH8S57=)k&8  - EH365jKY>" 8;:
mn>JH?HBD8(' d'K =)36?H5 `" EL&kl>59< >)O+<7E842 - 59LW59<98Ak&5 b3Y[)845736kD36K6=:dn8;:7O >):Tk&=)?HI*8 "`3Y<7E  @ KY>)b"B K636? 5

dn8;: ?>WB8aJH5736?HbVb):T8;8ABLN:7>J<736?b
21

43  65



879 ;:

46=-.1J;>8m
64 92 D.1tB=-.-uB0;46>MDL0 j 2
0J;.87RQR=-.-90 j .?9kuF2 =-.O=1>M9*00;>
j0 ./5 2
9*0/9*032
lM.-9~> @0 j . 9k.82J;= j €

p



=<

NVm0 j ./=-56. G.iJQF9k.?> @ NFQR0k0;.iJ FmJ;> QR0;46DFly46D

















!- n

BL!*

% ?D<7EH3 5j598AI*<736>?!"j84dH:78A578A?<JdHdn8;: mn>JH?'BH5>? <7E84?J'kGmn8;: >)O+:7>J<736?HbRE>)d'5 O >):=R598A=:"ITEN>)dn8;:T= 
<73Y>? 36? =l5T36kld'KY84kl8;<9:T3 If59d'=)I*8)g =l>?H8 MBH36kl8A?H5T3Y>?H=)K/:78A=)K+K636?H8 #- >&5736k&d'K63YO Ll<7E8;>):78;<736I;=)K=)?H=)KYLW57365
<7E8G?H8;<," >):  365598;<`JdC=)5`O_>K KY>`" 5Ag

c>WB8A5l=:78 KY>WI;=<98AB=<lb):"36B dn>36?<75R>?<7E8N:78A=)KK636?8   =)I"E ?>WB8  3 5VI*>?'?8AI*<98AB<9>%3Y<75
?H8A=:78A59< ?8A3YbEmn>): >?V8A3Y<7EH8;:P5T36B8  =)?HBV<9> KY>?HbM BH3659<7=)?HI*8?8A3YbEmn>):T5   ;8 < ^mn8 <7E8?J'kGmn8;:


>)O ? >WB8A5 
$  KY>)b &  <7E8&K6>?bMBH3659<7=)?'I*8 ?H8A3YbEmn>):T5S=:78&I"E>598A?%=)54dn8;:4<7E8&36?[)8;:T598 dn>" 8;:
+ 3Y<7E
K = "B'3659<9:T3Ym/J<73Y>? "`3Y<7E 8('Wdn>?8A?<   3  8   8A=)ITEKY>?bMB'3659<7=)?HI*8D?H8A3YbEmn>): 365aI"E>598A? "`3Y<7E
d':7>)m'=m'36K 3Y<MLD3 ?[)8;:T578AKYL^d':7>)dn>):7<73Y>?H=)K<9>&<7E8RBH3659<7=)?HI*8fmn8;<7"j8;8A? ^=)?HB  F>):TkD=)K6KYL 





2@  0B

@ : $ 365 =l?8A3YbEmn>):>)O ,&  

     $@  / B
"cE8;:78 2@  Ba365f<7E8&BH3 59<7=)?HI*8lmn8;,< " 8;8A? ?>WB8A5  =)?HB 36? <7E8Dk&8;<9:T36Il59d'=)I*8  + 3Y<7E
@ K6>)b &  p ' :'  1" 8^JH598 = B8;<98;:"k&36?H3657<736I K636? W36?b 59<9:T=<98;b)L "`EH36I"E%365f8('Wd'K6=)36?H8AB%36?
BH8;<7=)36K+K6=<98;:`3 ?N<7EH365 598AI*<736>? 
!`>J<736?b 365lBH>?8Nb):78;8ABH36KYL mL O_>): "=:TBH3 ?b <7E8 kl8A5757=b)8C<9> <7EH8C?8A3YbEm>):lI;KY>578A59<l<9> <7E8
<7=:Tb)8;<c?>WB8 





















+ 8V=)?H=)KYL ; 8a<7E8adn8;:7O >):Tk&=)?HI*8GO_>): <7EH8GI;=)598A5c>)OP=D5736?bKY8aK6>?bMBH3659<7=)?'I*8aK636?  =)?HB >)O kRJ'KY<73Yd'KY8
K636? 5W36?N=lO =)36K6J:T8  O_:78;84?8;<7j" >):  36? <7EH3 5598AI*<73Y>?H=)?HB 3 ? =l?8;<," >): "`3Y<7E K636? D=)?HB ?>WB84O =)3 K6J:78A5
36?N<7E8R?8(' < 578AI*<73Y>?


+
0& 
0/1(*$


*

(*$

"


 & 
 (

! ,(

+ 8/H:T57<V=)?H=)K6L ;8 <7E8 ?JHkRm8;: >)Oc:7>J<736?b E >)d'5VO >):&= 598A=:TITE 36? =)? 3 B8A=)K63;8ABkl>WB8AK "`3Y<7E?>
O =)36K6J:78A5 =)?HB.`" 36<7E >?H8 K6>?bMBH3659<7=)?'I*8 K 36?  nd 8;: ?>BH8  aKY8A3 ?mn8;:7b $ (*( &adH:7>,[)8AB <7EH=<"`3Y<7E
?>WB8A5c8AkGmn8ABHB8AB]=<cb):"36BCdn>36?<75`36?]= MBH36kl8A?'573Y>?H=)K b):"36Bc" 3Y<7EC8A=)I"E ?>BH8  I*>?H?8AI*<98AB <9> 3Y<75
36k&k&8ABH36=<98?8A3YbEm>):"5 =)?'B >?8KY>?bMBH3657<7=)?HI*8?8A3YbEm>): DI"E>598A? c" 3Y<7EVdH:7>)m'=m'3 K63Y<MLfd':7>)dn>):7<73Y>?H=)K


<9>

 2@  B







=)?LGk&8A5757=b)8 I;=)?Vmn8 B8AK 3Y[)8;:78ABG3 ?G<736k&8jdn>KYLW?>k&36=)K36?GK6>)b NJH5736?b`b):78;8ABLG:T>J<736?b







+ EH36KY8V<7EH365S:78A57J'KY<SI;=)? mn8lBH3Y:T8AI*<7KYL =dHd'K 3Y8AB <9>N>J:ak&>B8AK1"`36<7E ?>WB8A5   # =)?HB   <9>
b3Y[)8  @ KY>)b  "Bj:7>J<73 ?blE>)d'5dn8;: 598A=:TI"E"j8Gb)8;<`=lkRJ'ITEC573 kld'KY8;: dH:7>>)O#JH5T36?b  8A&k k&=&q    + 8
36?HI;K JHB8S<7E8adH:7>>)Omn8AKY>" O >):`I*>kld'KY8;<98A?H8A575 



2
 




2 
 10


 1 4



+

$-
 &

(



(


  5 " 
      )   0 $ 
 

6 =

&

)

/    + 0 $ 
 $ 
%++   $  
  2   / ++2  
(
   
  2  
,



$ + $ ' ( 

# 

+


* 
 #( /10 $ 
 (+ + +$)  $

/  








/   * 
  $(

@ "B)  @   B 4

 
 & / 



;8 <   mn8<7E8`8('dn8AI*<98ABD?JHkRmn8;: >)On?H>B8A5 I*:7>57598AB "cE8A?l<7E8`k&8A5757=b)8c3 5 =<j=a?>WB8
G<7EH=<`365=<`=DBH3659<7=)?HI*8  O_:7>k <7E8aB8A59<736?'=<73Y>?  \KY8A=:TKYL    365 ?>? MB8AI*:78A=)5736?Hb 
p


  















PF 3YbJ:78Vq  qg 1cK6K<7E8Gdn>575T3Ym'KY8f?>WB8A5 <7E'=<SI;=)?]mn8a:78A=)ITEH8AB]O :7>k <7E8V57>J:TI*8R?H>B8 G8A?]:7>J<98R<9>
<7E8GBH8A59<736?H=<73Y>? ?H>B8  


F:7>k FP3YbJ:78Vq  q " 8R598;8R<7EH=<`<7E8R:7>J<736?Hb&=)KYb)>):T3Y<7EHk <9:T=A[)8;:T578A5c<7EH8GKY>?bMBH3 59<7=)?HI*8GK63 ? ^O :7>k
3YO3Y<S8A?HBH5436?.@  &B +>)<7EH8;:"`36598V<7E8l57E>):T<ME>)d K636? N<9>N<7E8l36k&kl8AB'36=<98R?8A36bEmn>):4I;KY>598;:f<9>N<7E8
B8A59<73 ?H=<73Y>? 365<7=)8A? - EJ'5 "j8ab)8;<;g







 

"`E8;:T8

  4
   4 # 
       4 # 
      4 









 
-  
-  








  
 
 #      ' o 

- E8A?
 

   $  - p$-      -    
o







   #















&




 o 





\KY8A=:"KYL    365`?>? MB8AI*:78A=)5T36?b H=)?HB <7EJH5 J'5736?b  A8 kDk&=&q   " 8ab)8;<
 
 @ "B %




   o  
 



  @  B




- EJH5 "j8598;8 <7EH=<"`3Y<7Ea<7E'365#B'3659<9:T3Ym/J<73Y>?A<7EH8 ?JHkRm8;:#>)OH:7>J<73 ?bcE>)d/5dn8;:P598A=:TITE 365 KY>)b=:T36<7EHk&36I

36?N<7E8R?JHkRmn8;:>)O ?H>B8A5 



*



 -  
0& 
0/1(*$


"

 & 
 (

! ,(




- E8N?8('W<l36?<98;:T8A59<736?b )J8A59<73Y>?365 "`E8;<7EH8;: " 8 I;=)? :78ABHJ'I*8^<7E8 ?JHkRm8;: )> Oc:7>J<736?b E>)d'5Vdn8;:
598A=:TI"E mL JH5736?Hb%kRJHK6<73Yd'KY8 KY>?bMB'3659<7=)?HI*8 K 36? W5l36?H59<98A=)B >)O4= 5736?bK68 >?8 .%? =)B'BH3Y<73Y>? <9>36k
dH:7>,[)8Akl8A?<43 ? dn8;:7O >):Tk&=)?HI*8 nkVJHKY<73Yd'K68aK636? W5`=)K657>^b3Y[)8V<7E8Vmn8A?8 H/ <`>)Oj:7>)m'JH57<7?8A575`3 ? <7E8VO =)I*8V>)O
O =)36K6J:78A5  + 8 H/ :T59<PKY>> G=<36kld':7>h[)8Akl8A?< 36?Rd8;:TO_>):TkD=)?HI*8jmLGJH5T36?bckVJHKY<736d'KY8jK 36? W536?R<7E8?8;<," >): 
=)?HB <7E8A?%b)> >?%<9> =)?H=)KYLW57365f>)OO =)36K6J:T8A5a36? U8AI*<736>?q   + 8NI*>?H5736BH8;:RBH3 %n8;:78A?<G59<9:T=<98;b368A5GO >):
b)8A?8;:T=<73 ?bCK636? W54=)?HB :7>J<73 ?b BH8;d8A?'BH36?b >? ?J'kGmn8;:f>)OKY>?bMBH3657<7=)?HI*8lK636? W5 l36? <," >C:T=)?Hb)8A5;g
 $  KY>)b
& =)?HB ,@ KY>)b & p'  '    8;<aJ'5 H/ :T59<fI*>?H573 B8;:4>J:f:T=)?HB>kD3;8AB 59<9:T=<98;b)L
O >):`K636? ^BH3659<9:T36m'J<73Y>? `" E8A?  $  KY>)b & 











 q

o

q

FP3YbJ:78Gq  
g  HJ K6<73Yd'KY8A@ B KY>?bMBH3657<7=)?HI*8aK636? W5 O_>):`8A=)ITE ?>BH8




% ?$ (  &  G KY8A36?m8;:TbCJH598A5V=Cb):7>Jd59<9:TJ'I*<7J:78&<9> b)8;< @ KY>)b "Bf:7>J<736?Hb E>)d'5GO_>):V<7E8NI;=)598^>)O
= dn>KYLWKY>)b=:T3Y<7E'k&36IN?J'kGmn8;:l>)OfK636? W5  c>" 8;[)8;:`E8]JH598A5&= kl>):78 I*>kld/K636I;=<98AB =)KYb)>):"3Y<7EHk O >):
:7>J<73 ?b `" EH36K68 " 8G>)m'<7=)36? <7E8V57=)kl8amn>JH?HB @ O >):`<7EH8RI;=)598R>)OP=^K636?8 BjJH5T36?bl>?HKYL b):78;8ABL :T>J<736?b 
+ 8VdH:7>h[)8 <7EH=< `" 3Y<7E  $  KY>)b &PKY>?bMBH3 59<7=)?HI*8RK 36? W5H<7E8R8(' dn8AI*<98AB ?J'kGmn8;:`>)O :T>J<736?b E>)d'5
dn8;:c598A=:"ITE 365  @ K6>)b  B  `- E8am'=)573 Ia36B8A=DO_>):c<7E8GdH:T>>)O I*>kl8A5cO_:T>k aKY8A3 ?mn8;:7b * 5 k&>B8AK $ (*( & 



q



aKY8A3 ?mn8;:7b

*I >?'5736B8;:T5V= <," >MBH36kl8A?'573Y>?H=)Kjb):T36B"`3Y<7E?>WB8A5V=<V8;[)8;:TL b):T36B dn>36?<  -`E8^:T>J<736?b
>)O<7E8Dkl8A5T57=b)8^365GBH3Y[W36B8AB 36?<9>Cd'EH=)578A5 ^1 kl8A575T=b)8^365a5T=)36B <9> mn8&36?%d'EH=)598
]3YO <7E8DBH3 59<7=)?HI*8
O :7>k <7E8VI;JH:7:78A?<S?>WB8R<9> <7EH8VB8A57<736?H=<73Y>? ?>WB8R365cmn8;<," 8;8A?%o =)?HB o   - E8;:78V=:78l=<fkl>59<
@ KY>)b -  BS57JHITE d/EH=)598A5  c8 dH:7>,[)8A5f<7EH=<4<7E8 (8 'dn8AI*<98AB <73 kl8V57d8A?<f36?]8A=)ITE d'E'=)598l3654=<akl>59<
 @ K6>)b "B n<7EJ'54b3Y[3 ?b^= <9>)<7=)KJd'd8;:Smn>JH?HB >)O  @ K6>)b "B`>?]<7EH8 ?JHkRmn8;:S>)O :7>J<736?bNE>)d'5SO >):
:7>J<73 ?b  + 8SJH598 <7EH8`57=)kl8 d/EH=)598 59<9:TJ'I*<7J:78`36? >JH: kl>WB8AK =)?HB&>J: dH:T>>)On365 =)KY>?bR5736k&36K =:PK 36?8A5 
2
 
 
+  +$  
 &  
  5   
   /   "  0 $( 
 
 /    




:

(

6 6 &
$   (   #   

2 
 10  /     0 $ 
  $ 
 + & ( & 23  $   2    $ 
  +/23   / ++2 

 
 
   
  2  
 $      *
 

* 
 #( 10"$ 
 ('+ +$)   $

$(
 1 4

5&'/ 



$



@ "B)  @ KY>)b

&4

KY>)b







$ +

B4

   % ? >J:lkRJHK6<73Yd'KY8 MK63 ?  kl>WB8AK P8A=)ITE ?H>B8 EH=)5^KY>?bMBH3 59<7=)?HI*8^?H8A3YbEmn>):T5RITE>578A?
"`3Y<7E%:78;d'K6=)I*8Akl8A?< - E8&d':7>)m'=m'36K 3Y<MLC<7E'=<  ITE>>598A5V=C?>WB8 =)5R36<75aKY>?bMBH3 59<7=)?HI*8D?8A36bEmn>):
365  @   B  `" EH8;:78               + 8 I;=)? b)8;<f=^KY>" 8;:4m>J'?HB >?]<7EH365 d':7>)m'=m'36K 3Y<MLN=)5

O >K6KY>c" 5;g




 @   B 

















% KY>)b c U> <7E8RdH:7>)m'=m'3 K63Y<ML^<7EH=< NI"E>>598A5

=)5`36<75KY>?bMBH3657<7=)?HI*8a?8A3YbEmn>): 365 =<`KY8A=)57<
 





 =)?HB
 









 ' 'mn8AI;=)JH598  '

















Sm'578;:7[)8G<7EH=<

 @   - @ o  B  B
 :@ o  B 
   @ o  B  
   o  - o 
   o 







o 
o

 o
 ,$ o 2@  0B   &  








 


c>" 57JdHdn>598D<7EH=<R<7EH8 kl8A5T57=b)8 3 5RI;J:T:78A?<7K6L 3 ?%d'EH=)578

-#>]8A?HB d'EH=)578

= <V<7EH365G57<98;d  <7E8
kl8A575T=b)845TE>JHK6BD8A?<98;: = 598;< >)O#?>WB8A5 
  =< = BH3657<7=)?HI*82% o  >)O+<7E84B8A59<736?H=<736>?^?>WB8 1S5 <7E8
?>WB8A5`=:T8R8AkRmn8ABHB8ABC>? =^:78A=)K#K 36?8 H<7E8;:T8V=:78 =<4KY8A=)59<SoV?>WB8A5S36? 
  8A=)ITE "c3Y<7EH36? BH3 59<7=)?HI*8
o   - o  ' o   >)O   U>&<7EH8akl8A5757=b)8R8A?<98;:T5 
  "`3Y<7ENdH:T>)m'=m'36K636<ML 
 o           
 8;<   mn8f<7E8f<9>)<7=)K ?J'kGmn8;:>)OP59<98;d'5`57d8A?<36?Nd'EH=)578 #-`E8A?








  $   
 # &  
 '     )


  

%









c>" 3YO
 HB 8A?>)<98A5N<7E8 9< >)<7=)Kf?J'kGmn8;: >)OG59<98;d'5c<7E8A?   
      c=)?HB mL K636?H8A=:T3Y<ML >)O
8('Wd8AI*<7=<736>?" 8ab)8;<  % @  -KY>)b "B@    B  @ KY>)b B 
F>):
@ KY>)b 
 &   p '  '   "j8 JH598 = B8;<98;:Tk&36?'3659<736IN59<9:T=<98;b)L  + 8 :78;dH:T8A598A?<^<7E8
KY>WI;=<73Y>? >)O+8A=)ITE ?>BH8c=)5=V?JHkRmn8;:j<9>l=Vm'=)598 1 
 o H =)?HB^b)8A?8;:T=<98aK63 ?  5 <9>l?>BH8A5j=<BH3657<7=)?HI*8A5
 
 o 
 q 
 @31  B 
 4 O >): 8A=)ITE 
 1 1  1        - EJ'5^<7EH8%?JHkRmn8;:N>)ORK636?  5






 3@ 1










B5 


























7 9  ! > JH<736?bR3 5 B>?8cmLD8AK636k&36?'=<736?bf<7E8Skl>59<573Yb?H3>//I;=)?< BH3Yb3Y<>)O<7E8cBH3 59<7=)?HI*8
=<S8A=)ITE 59<98;d S1c5c<7E8 k&=W' 3 kRJHk BH3659<7=)?'I*8RI;=)? mn8G=<Sk&>59< 1     "j8Vb)8;<  @ "B   @ KY>)b 7 "B 
- EH3 559<9:T=<98;b)L 365 573 k&36K6=:36?C59d/3Y:T3Y< <9>&<7E8 @ ! ! =)K6b)>):T3Y<7EHk $ -)o &+8(' d'K =)36?8AB 36? U8AI*<736>? o  o  o 
U>k&8D59dn8AI;36=)K I;=)598A5V=:78D36?'59<9:TJHI*<73Y[)8   8;<   @ KY>)b"B #=)?HB%K68;<a8A=)ITE?>WB8&K636?  <9>]?>WB8A5
36?mn>)<7E BH3Y:T8AI*<73Y>?H5l=<&BH3657<7=)?HI*8A5Do  % # % o      dH:7>,[3 B8AB ?>WB8A5l=:78CdH:T8A598A?<&=<l<7EH>598
BH3657<7=)?HI*8A5  - EH365Rb3Y[)8A5  @ "B2  @ KY>)b "B  UW3 k&36K6=:TK6L #KY8;<   @ 4B   36? W5G=:78N8A59<7=m'K 3657E8AB
36?Dm>)<7E BH3Y:T8AI*<73Y>?H5 <9>V8(W' 3 59<736?bV?>BH8A5 =<BH3659<7=)?HI*8A5  o q   o  q    @   B 
b3Y[W36?b  @ "B)  @  B #% ? O =)I*<  @ "B   @  B `" E8A? 1  O >):`=)?L /' 8AB   p 












2
 




 $

$ 
 
%


 1 )    
# 






  0 

 +,
* 
 #( / 0"$ 

    8;< 






o q

 

















1 
3@ 1 

(   $&   $


O :7>k <7E8 <7=:7b)8;<   "`E8;:78



)4

B




&

$

*





 3@ 1

 +$


 1'/ 

mn8



















 B 5 KY>)b 7 9  2  $




1 1 



@ "B   @ K6>)b 7 "B 4













 &23/(.  


1       

4

$  $(

7< E8DBH3657<7=)?HI*8A54>)Oj<7EH8&57JHI;I*8A575736[)8&?>BH8A5a36? <7E8l:7>J<73 ?bNd'=<7E
3 5N<7E8%BH3659<7=)?'I*8 >)OV<7E8%59>JH:TI*8 ?>BH8 =)?'B   p  F>): 8A=)I"E





YK >)b 7  c57JHI"E&<7EH=< 1  %  (
' 1   c8A?HI*8  % 7     '(1 `>" 8A=)I"E^?>WB8


365I*>?H?H8AI*<98AB <9>&<7EH8a?>BH8a=<`BH3659<7=)?'I*8 1  7      + 8Gb)8;<

   h p 






















  


1  1  

 k&>B

1  ' 1  

- EJH5  B:T>)d'5mL =<`K68A=)59<  = < 8;[)8;:7L 59<98;d  c1 5 $ % 5 KY>)b879 "j8Gb)8;<



















!-



@ "B)  @ KY>)b67 "B 

aL! 4

FH=)36K J:78A536?&<7E8`59LW59<98Ak I;=)?Dmn8>)O<7"j>V<MLdn8A5;g  $& O =)3 K6J:78A5 "cE8;:78 =adn8;8;: I;=)?^I*:T=)57E>): 23/.
O =)36K6J:78A5 "`EH3 ITE =:78 <9:T=)?H57368A?<f59LW59<98Ak >J<7=b)8A5  + 8&B> ?>)<fk&=)8&=)?L]bJ'=:T=)?<98;8A5a>)Oj=)I;I*8A57573 ?b
<7E8 BH=<7= "`E'36ITE 3 5D59<9>):78AB >? = k&=)ITE'36?8C<7EH=<^O =)3 K65  `>"j8;[)8;: "j8 =:78]36?<98;:78A59<98AB 36? 578;8A36?b
E> " <7E8&?8;,< " >):  dn8;:7O_>):"k&5436? <7EH8ldH:78A598A?HI*8 >)O <7E8A598 O =)36K6J:78A5   =)I"E%598A=:TI"E O_>K KY>"`54=N<9:T=)3 K#>)O
k&=)I"EH36?8A5jJH?<73 KH3Y< :T8A=)ITE8A5j<7E8cBH8A59<736?H=<73Y>? 1%O =)?Ll>)O <7EH8A598c36?<98;:Tkl8AB'36=<98ck&=)I"EH36?8A5jEH=A[)8SO =)36KY8AB
>):cI*>?'?8AI*<736?bDK 36? W5=:78amH:7> )8A? H<7E8G598A=:"ITE I;=)?CO =)36K  %O#<7EH8G?J'kGmn8;: >)O 57JHI"ECO =)36KY8AB 598A=:"ITE8A5S365
57k&=)K K <7E8A? " 8fI;=)?N:78A59<7=:7<<7E8SO =)3 KY8AB^578A=:TITE8A5  % O<7E8S?JHkRmn8;: 365 K6=:7b)8 W<7E8A? " 8fI;=)? JH598459>kl8
57k&=:T< 598A=:TITE'36?b <98AITEH?'3 )JH8A5 O_>):(8 '=)kld'K68 :78  :7>J<736?HbV<7EH8a598A=:TITEC<9>&=)?>)<7E8;: :T=)?'B>k k&=)ITE'36?8
36? <7E8N?8;,< " >):  >): m'=)I <9:"=)I W36?b >): " 8 I;=)?8;[)8A? 59<7=:T<V<7EH8 36?'3Y<736=)K598A=:"ITE 36? d'=:T=)K6K68AK 36? <7E8
E>)dn8G<7E'=<c>?8V>)O<7E8 598A=:TI"E8A5 "`36K6K57JHI;I*8;8AB  %?]<7EH365c598AI*<73Y>? " 8V=)?'=)KYL ;8V<7E8Vdn8;:7O_>):"k&=)?HI*8G>)O
<7E8G578A=:TITE8A5c36?N<7E8fdH:T8A598A?HI*8a>)OP57JHI"E O =)3 K6J:78A5 
4?H8&59>K6J<73Y>? 365f<9>CdH:T>h[W36B8lO =)JHKY<f<9>KY8;:T=)?'I*8DmL 
 : 6 ;    ]=)36?<7=)36?H36?HbC598;[)8;:T=)K I*>)d/3Y8A5
dH:7>,[3 B8A5&57J:T[3Y[=m'36K 3Y<ML =)K6K6> "`5&K6>=)B m'=)K6=)?'I;36?b >h[)8;:NBH3 %n8;:78A?<l:78;d'K636I;=)5 j=)?HB EH8AKYd'5l8AK63 k&36?H=<98A5
JH?<9:TJH597< "j>):T<7EL dn8;8;:T5 mL [ =)K63 BH=<73Y>?  UWJH3Y<7=m'K68 d/K6=)I*8Akl8A?<>)On:78;d'K636I;=)5 I;=)?D=)K659>aEH8AKYd&<9>a8AK63 k&36?H=<98
I*>  :78AK6=<98AB%O =)36K J:78A5457JHI"E =)5G59L57<98Ak >J<7=b)8A5a>):a?H=<7JH:T=)K BH3657=)57<98;:T5  c>" 8;[)8;: #36<S:T8 )JH36:78A54=)BHBH3 
<73Y>?H=)K kD=)36?<98A?'=)?HI*8fO_>)::T8;d'K636I;= k&=)?H=b)8Ak&8A?<`=)?'B KY>=)BNm'=)K6=)?HI;3 ?bRmn8;7< "j8;8A? :78;d'K636I;=)5  + 8fO >WI;JH5
>?N<7E8a36?'E8;:78A?<jO =)JHKY<<9>KY8;:T=)?'I*8f>)O#<7E8aB'=<7=l59<9:TJHI*<7J:T8S<9>&578;8aE> " 3Y<dn8;:7O >):Tk&536? <7E8fdH:T8A598A?HI*8
>)OPO =)J'KY<75 "`3Y<7E>JH<=)B'BH3Y<73Y>?H=)K k&8AITEH=)?H3 57k&5<9>&:78;d/=)3Y:<7E8A598aO =)JHKY<75 
1SKY<7E>Jb&E "j8=)?H=)K6L ;8>?'KYLSI*:"=)57EfO =)36K6J:78A5 ;<7E8;:78 =:78 >)<7E8;: W36?HBH5n>)OO =)3 K6J:78A5<7EH=<I;=)?G>I;I;JH:36?
<7E8 57L59<98Ak  1 ?8;7< "j>): fd'=:7<73Y<73Y>?GI*>?H59<73Y<7J<98A5#=`kl>):T8j598;:T36>JH5 O =)36K6J:78Pmn8AI;=)JH598j3Y<k&=hLaI*>kld'KY8;<98AKYL
3659>K =<98^59>kl8 d'=:7<V>)O<7E8N?8;,< " >): %O :7>k <7E8 :78A59<G>)Oc3Y< % ? 57J'ITE= I;=)598 j=]598A=:"ITEk&=AL I*>kl8



(

[)8;:7LCI;KY>578R<9> <7E8RBH8A59<736?H=<73Y>? m'J<`36<ck&=hLCmn8GJH?H=m'K68a<9>D:78A=)I"E 3Y<`mn8AI;=)JH598V=)K6K+<7EH8R?8A3YbEmn>):T5 >)O
<7E8^<7=:7b)8;<l=:78 3 ?H=)I;I*8A57573Ym/KY8  -> B8;<98AI*< =)?HB :78;d'=)3Y:Rd'=:7<73Y<73Y>?'5#8A=)I"E?>BH8^I;=)? )8;8;d<9:"=)I  >)O
59>kl8S>)<7E8;::T=)?HBH>k?>WB8A5j36?&<7E84?8;<7"j>): ^<7EH=<3Y< W?>"c5 >)O =)?HB^3 ?&<7E84=m'598A?HI*8S>)O+=)?LD598A=:TI"E
=)I*<73Y[W3Y<ML d'36?bS<7E8A598c?>BH8A5#<9>RITE8AI  36<P36O/EH=)5 mn8;8A? d'=:T<73Y<73Y>?8ABV> %NO_:7>k0<7EH8:78A59< >)O<7E8 ?8;,< " >):  
+ 84:78A59<9:T3 I*< >J:jO_>WI;JH5j<9>Rdn8;:7O >):Tk&=)?HI*8c>)O+598A=:TI"E8A5 "`3Y<7EH3 ?l=RI*>?H?H8AI*<98AB I*>k&d>?H8A?< >)O >J:BH=<7=
59<9:TJ'I*<7J:78 
1S? 8;[)8A? " >):T598 <MLd8 >)OcO =)36K6J:T8 <9> B8A=)K "`3Y<7E 3 5&=     
 O =)36K J:78  "`EH8A? =%k&=)ITE'36?8
I*>?<736?JH8A5 <9>Rd'=:7<736I;3Yd/=<98`36?l<7E8c?8;,< " >): lm'J<j3Y<75 =)I*<73Y>?'5 mn8AI*>kl8A5jJH?<9:"JH59,< " >):7<7EL 1 mL A=)?<736?8
d'=:7<73 I;3Yd'=)?<aI*>JHK6B%36?<98;:TI*8;dH<R598A=:TITEH8A5R=)?HB 598A?HB >J<Gm>)bJ'5akl8A5757=b)8A5  >): "j>):T578  K6368&=m>JH<G3Y<75
dn>573Y<73Y>? 36?]<7E8lBH=<7= 59<9:TJ'I*<7J:78 a2S>JHI*8AJ: $ q  &57EH> " 8AB <7EH=<a3YO =N5736?HbKY8GO =)JHKY< L 8A?<73Y<ML I;=)? :78;d 
:78A598A?<`kVJHKY<73Yd/KY8c36BH8A?<73Y<7368A5=)?HB 36? /'K6<9:T=<984<7E8a?8;,< " >):  '3Y< I;=)?CI*>?<9:7>K#=l57Jm'59<7=)?<736=)KnO :T=)I*<73Y>? >)O
<7E8G?H8;,< " >):   + 8RB8;O 8;: <7E8a365T57J84>)O B8A=)K636?b "`36<7ENmL A=)?<73 ?8aO =)36K6J:78A5 <9>&O J<7J:T8 "j>):  








4,  *
 -&/



 (





+ 8459<7=:7< mLl=)?H=)KYL A36?bR<7E8`dn8;:7O >):Tk&=)?'I*8 >)O >J:?8;<," >): &36?D<7E8`dH:T8A598A?HI*8`>)O+K 36? VO =)36K J:78A536?D<7E8
>h[)8;:"K6=AL ?8;<7j" >):  j1 K636? Dm8;<7"j8;8A?C<," >D?>WB8A5 ]=)?HB  36? <7E8f>h[)8;:"K6=AL ?8;<7"j>):  I*>JHK BNO =)36Kn3YO#<7E8
?8;<7j" >):  I*>?H?8AI*<736>? mn8;<," 8;8A? <7E8l<," > k&=)I"EH36?8A54<7E'=<ak&=d <9> =)?HB  3654O =)JHKY< L  %<a=dHdn8A=:T5

<7EH=<S>J:cK 36? W36?bl59<9:T=<98;b3Y8A54k&=hLCO =)36K <9> b3Y[)8G<7E8V57=)kl8 ?J'kGmn8;: >)O:T>J<736?bDEH>)d'5 dn8;:c578A=:TITE 36?
I;=)598^<7E8&K636? W54O =)36K #c>" 8;[)8;: "j8D5TE>" <7E'=<&"j8Db)8;<G:78A=)59>?'=m'KY8&dn8;:7O >):Tk&=)?HI*8 8;[)8A? "`3Y<7E K63 ? 
O =)36K6J:78A5  %?C>J:ckl>WB8AK " 8R=)5T57JHkl8f<7EH=<c8A=)ITE K636?  365dH:T8A598A?<S36?HB8;dn8A?HBH8A?<7KYL*"`3Y<7ENdH:7>)m/=m'36K63Y< L
  8;<`JH5 /H:"59< KY>>  =< <7EH8f:T=)?HB>k&3 ;8AB 59<9:T=<98;b)L"`3Y<7E
$  KY>)b &KY>?bMB'3659<7=)?HI*8aK63 ? 5 





LINK PRESENT
WITH PROB.



ABSENT LINK

FP3YbJH:78Gq g j =)ITE K6>?bMBH3659<7=)?'I*8aK636? D3 5dH:78A598A?< "`3Y<7ENd':7>)m'=m'36K 3Y<ML





4JH:jdH:T>>)O+365 =)KY>?bV5736k&3 K6=:jK63 ?8A5 =)5 >J: dH:7>>)O O_>):<7E84I;=)598S>)O?>VO =)3 K6J:78A5 1% ?<7JH36<73Y[)8AKYL W5736?HI*8


59>kl8^>)O<7E8DK63 ? 5aO =)36K 4" 8D8('Wd8AI*<R<9>]59dn8A?HB kl>):78D<73 kl8D36? 8A=)I"Ed'EH=)598D=)?'B%<7EH365G<736kl8D5TE>JHK6B





mn8 36?[)8;:"598AKYL%dH:T>)d>):T<73Y>?H=)Kj<9> <7E8NdH:7>)m'=m'3 K63Y<ML c" 3Y<7E"`EH36I"E <7EH8NK 36? W5R=:78 d':78A598A?<  + 8 dH:7>,[)8
<7EH=< "`3Y<7E 8A=)ITE K63 ? ]d':78A598A?< "`36<7E dH:T>)m'=m'36K636<ML P <7E8^8('Wdn8AI*<98AB<736kl8N59dn8A?<V36? 8A=)I"Ed'EH=)598N365
 @ K6>)b
B "`EH36I"ENb3Y[)8A5`=&<9>)<7=)K+>)O @ KY>)b BjT: >J<736?b&E>)d/5d8;:c598A=:TITE 








2
 


 +/ 0 
 @ KY>)b
B4

23/(.
/






+'$



 
 12
 $ + $



% /

( 5 



6 6

$(
 &4&4 /8 * $  
  +/23   
*

 
 *

# 

:

2 
 10     


 #( 10 $ 
 (++ +$)   $

 
 &



   `! 8AI;=)K6K <7EH=<`3 ? I;=)598G>)OP?>DK63 ? &O =)36K6J:78A5<7EH8fdH:7>)m'=m'3 K63Y<MLD<7EH=< NITE>>598A5`=D?>BH8
=)5`36<75KY>?bMBH3657<7=)?HI*8a?8A3YbEmn>): 365 =<`KY8A=)57<  o `" EH8;:78                

c>"5`" E8A?" 8RI*>?'5736B8;:`K 36? DO =)36K6JH:78A5b3Y[)8A? <7EH=<  ITEH>598 =)5c36<75 KY>?bMBH3 59<7=)?HI*8G?8A36bEmn>):
<7E84dH:7>)m/=m'36K63Y< Ll<7EH=<<7E8;:78f365=lK63 ? ldH:78A598A?<mn8;<," 8;8A? ^=)?HB 365  jU> W<7E84dH:7>)m'=m'3 K63Y<MLl<7E'=< 
ITEH>>598A5c=&?>WB8 ]=)5c3Y<75KY>?bMB'3659<7=)?HI*8a?8A36bEmn>): 365 =<cKY8A=)59<   o  ,$ o 2@ (B   &   
- EH8R:78A57<c>)O<7EH8Vd':7>>)O3 5`<7E8 57=)kl8l=)5S<7E8VdH:7>>)OO >):S<7EH8;>):78Ak q    8;<   mn8G<7E8 ?J'kGmn8;:
>)O 59<98;d'5 57d8A?< 36?Nd'E'=)598 #`- E8A?







  



  $   
 # &







%O  HB 8A?>)<98A5l<7E8 <9>)<7=)K ?JHkRmn8;:l>)OS59<98;d/5 7< E8A?mL K 36?8A=:T3Y< L >)Oc8('dn8AI*<7=<73Y>? " 8 b)8;<  %
@  - K6>)b "B@     B)  @ KY>)b   B 
+ 8N<7J:T? <9> <7E8 BH8;<98;:Tk&36?H3 59<736Il59<9:T=<98;b)L `" 3Y<7E  @ 6K >)b 
 & p '  '   %O`= K636?  O =)36K65
<7E8A?]<7E8R?H>B8VEH=)5 <9> <7=)8l=D57EH>):7<98;:SK6>?bMBH3659<7=)?'I*8RK636?  c" EH36ITE"`36K6K ?H>)<`<7=)8 <7E8Rk&8A5757=b)8l=)5



I;KY>598f<9>l<7EH8f<7=:7b)8;<`=)5<7E8f36?'3Y<736=)K/O =)36K68AB K 36?  \KY8A=:TKYLD=)5 B8AI*:78A=)598A5<7EH8akl8A5757=b)8GE'=)5<9>l<7=)8
57E>):T<98;:`=)?HBC57EH>):7<98;:`K636? 5 "`EH3 ITE 36?HI*:T8A=)598A5<7E8G?JHkRmn8;:>)O#:7>JH<736?b&E>)d'5 
-#> k&= )8 <7E8 =)?H=)KYLW57365D5T36kld'KY8;: #" 8]ITE'=)?b)8]<7EH8]K636? kl>WB8AKc57K63YbE<7KYL =)?HB K68;<D8A=)ITE ?>WB8
mn8 I*>?'?8AI*<98AB<9> >)<7E8;:&?>WB8A5 =< B'3659<7=)?HI*8A5 1 1  1
1     4?'I*8N=b=)3 ?  " 8NI*>k&d'J<98
<7E8V(8 'dn8AI*<98AB BH3 59<7=)?HI*8 I*>h[)8;:78AB O :7>k <7E8 I;J:7:78A?<S?H>B8 =)?HB JH598  8Ak&kD= q   <9>Nb)8;<f=^<9>)<7=)KP>)O
 @31KY>)b Bj:7>J<73 ?b&E>)d'5 





 

























  @ KY>)b 7 "B   2  $ 
 & $   2 (.  
 /?
1   4 /* $  
6=2   -
*'23/(.  +/ 0      $ + $(, (  
   1 1  1
#   +,
* 
 #( / 0"$ 
 (   $&   $

 1'/  @ "B   @31   B 4
2
 












+ $






#   
*2 (.  








8







;8 <#<7EH8 BH3 59<7=)?HI*8 >)O'<7E8jI;J:T:78A?<P?>WB8O :7>k <7E8 BH8A59<736?H=<73Y>?Gmn8    8;<   :78;dH:78A598A?<
<7E8GB'3659<7=)?HI*8GI*>,[)8;:78AB 59<7=:7<736?Hb&O_:T>k <7EH365`?>BH8  - E8A? "`3Y<7E dH:T>)m'=m'36K636<ML H<7E8;:78&"c36K6Knmn8a=DK63 ? 
I*>h[)8;:"36?b BH3659<7=)?'I*8 1     %O<7EH365VK636?  3 5R=m'578A?< "`3Y<7E dH:7>)m'=m/36K63Y< L     <7E8A? " 8 I;=)?
I*>h[)8;:c=lBH3659<7=)?HI*8 1      "c3Y<7EN=V5T36?bKY8SK636?  "`36<7EDdH:T>)m'=m'36K636<ML  W=)?HBN59> >? %? b)8A?8;:"=)K <7E8
=A[)8;:"=b)8VBH3 59<7=)?HI*8   I*>h[)8;:78AB "`E8A?N<7E8Rkl8A5757=b)8G3 5 =<`BH3657<7=)?HI*8  O_:T>k <7E8GB8A57<736?H=<73Y>? 365
  













  1 

 


 












- 1     
1   










  1 












 1 -  








-  













 




1



 1      @    1 B @    1 B 


  @31    1       B

  @31 1  1   B























@  B
 3@ 1  B












    



@ "B

%





   
 3@ 1
 @







 -  3@ 1  B






#$31





 %'&)(
*,+

B



B











 @




B"!






1


 '      )              1 
 '     
    
        '    ' 
  !  
  ' 


&

 

 )

" #"%$ &('*) 
 +,.- /(- ,0
 
 1 324    165 72 8   !9  :2       15   ;  < 32  
 (=       
>'     ?  !   >)  1@  ,A   B2   532 >2      !  <C     


 D  7  E'   F  2    <   232*   #AHG   C >      3232 2   32 


I    
      
 K)J   , ?  
  324      
 8   J  L M!   N)  O
 F  LP'  <    232    D 28N2  9        Q 5RTSUDV>WYX Z!V[>\1 32  






F    
      323'<]   >    23)2  2  9 >    >2  !  
 
^:_a`cb@d._efaf%gih_%jk6lm_nopkrq hs`tbuhtq]j  & )  N>32  v8     
  B   xw   
2    7              >     *'    2 >O       y* zF








      {>32  v8E7  '  >'  3 2 >
  
   H2 >O 
       y*  | }O




   3  
    ;         
 
~{ q]blmq]d€u‚3ƒ „cZ UuU†ZQ‡NS[yZ Wˆ!ZV>‰EŠRŒ‹c†}ZSX Z ‡Žy‘D„tZ UcZ!V’†{RTS[yZ|ˆ!Z”“TX Z‰ Z RUu•#ŠaU†“TX SyˆV ˆŠW‘ŠaUa\
V>R@[–V>WWRTS[yZ‰{WYŠ%R—HS>RWY\MU˜S™Z!šŠ%‰›UaŠR œzR@S[yZ›‰ ‹c†}ZRžU†}ZxZ!š›“Z!’UvZ[–RŸ}‡xˆ!Z X:S X S>ŸUaŠ%R]œz†]S›“‰|“ZX
&
‰ Z!V>X ’†¡D•#ŠU†N¢£RTS[yZ‰Š4‰ # $a¤™¦ ¥ ( 
§Blmbub¨!©ªI  @ 
   ;])    
™
 M«p¬% ­@  ,?® ?%2323   ¯
¬6¹ ´ ¬r´ ¹
¬ ´
¹¬ ´
¬ ´
y
¦
º
>
¦
½
»
¼
¬

²
t
³
´
²
µ
c
¶
µ
3
²
t
³
´
3
²
t
³
´
3
²
³
&
Q
²
µ
c
¶
µ
<
²
µ
µ
²<µ µ &
&
&
¥
¥
±
«p¬ ° ±
±
±
¸
¸
¸
& µr·
& µm·
& µm·
& µm·
¤ ¹¬ ¤ ¬| ¤ ¥ ¬6Ã
¾ ¿®
·® ¸ÁÀ® ¸ ¦ º ¸ ¦ » ¼
¾
¾
·  ¤ ¦EÄ
¦ «p¬1° # $a¤™¦ ¥ ( (=     ;  28    ? 2   
      (Å $ ¢
(DÆ ± ¬ ³t´ %
2   
  > B  ,
   –Ç  3  *      23)
=  ' 2     '    1      
 <2  9: 28  :    ;      
    L 238

 K)J             242  '  
    > =   
    m)J    ?   2    
    ) Q   : Q)    >!!
È
À











}q `tq lmefD¨ve_afaotlrq]j I    5     28' Q  
 B 323      ' :2    
2  9™ 423   )     M2  { 5   :*   1)   8™  
    
    
 | 65   L2    D  (F   c2  9{ 324      
 (P' 7     3   *'
      (*  '2       |   |2  9  32˜, ]      5          







     
   Q :2  28  
  )  
 ,E    5      '8      y*  Q    

       
 ! 2  9z 32      ,238         ' 32  v8M   >   



 





   8     
  
  )  
 1 28           2  9™)         
  
    
F   E  
 E 324      :*  ,  
  )  
  #)    8  |2    ! (Ç}*  
    AN  Q { 3         |      $ )   H 42    5   





(
    68–) a    2t2  9H    A      >32   8H       
  
 


)
>2     { 4            )

   
  x  >42  v8  zA  
 { 3        )     H!>32  v8   ) > ,   : %*  
  =?   N2 3      28      )
  %  x)         2    H  
  3c   1  ? { 3         1   
  
    Q   ] 
 !  B 
  


 N]8                y* 
F { 
      28          <   
    : ” 28  1 <  Q2   #'     
 :  :65     5  ' 2”  ?=   
        : Q)  Π  >   
    
 , 
 ™     :r5        ™  N  a   B!  
–2   
  )  
 1 y8
 
   HT   EI  – 
    H   ) Q  
 <) 2 5   2   T  
            )
    !H  #F    35 28     
        N >32   8


 2 ;})
&   

              5  '  238 !@'   )2   &    3    M”P 
 
    B2   ?    
  :   


~{ q]blmq]d€u‚  „cZU(U†}Z‡NS[yZ Wtˆ!Z Vm‰|ŠRÁ‹c†ZS>XZ‡ y >¡(VRT[NW3Z UDZV’ †RTS6[yZV>ŠW*•#ŠU† “TX SyˆV ˆŠW‘ŠaUa\
‹c†}ZR™U†}Z Z!š›“Z!’UvZ![:RŸ}‡xˆ!Z XLS½|X S>ŸUaŠ%R œ:†]S7“‰D“Z X?‰ZV>X ’†y¡(•#ŠU†{¢žR@S[yZ›‰LŠ%‰ #$ 2 ¥ ¢ % $  &)(( 
&
B§ lmbub¨!©  1Ŏ)       >9   
  
         MT  :  
 |  
 ) 2 35  ™     
 2 N)   !>32  v8     
   MT  
  1    
       
    :Â N=    ;])   
   Å   
   MT  
QÂ  5      >  2 5  
     $ !    
  >    232382 928  { 65
È

 32  



(

35 z 8
 

¿ Å
 HÃu°


 M5>8

  



¸

$ Â


  

¿ Å?Ã °    
³t´
°  
³t´
 
Æ
³t´



(

Â 

$

¸

(




¿

Å


H

*
Ã
°

 Ä





&

¹

Â

¹

$

&)(








Â
)
&
(
 




¹ $ Â
& 
&)(


¸
 
¹ $ Â D¼ ´ 

° $
&
&)(
$ Â
 ¸
(
&)( ³t´ 
¸
¸
´
¼
¿
$ Â
Ã
Æ $  ( $ Â &)( & ¸
&)( 
¸

° $  $ Â
¸ ( &)( Ä
     238    ;])   
          Á      y5   28 *   2    
 >32   x8 ) N    
     
    2   |    
     >32   8x 7
 L) 2 5 


 B'  
    
      '  8     G ¿ 23 E¢*Ã2 >O 
     N2  9    % ¤ ¦ 
I    :   $ 2 ¢ (        ;])    
 # $ 2 ¥ ¢ % $ Â &)((    : 
¸
F x  '     
   '      4<     '  8        >  a2328:!    
  423 
  2      2               '    !9  H2] 2   *!]   

 



)           5   23238  7    
       
 I M    
     2 ) x23  O˜!>32  v8  5        ?]  !    4232  m)
J     ] ) 


   :  ' 
  ' >238 
&

$

!#"%$&'(')*+,.-/+,0$&1(23.4657(08.*89');:<4<=>9')?@A2B4<'C):<&DE08F))23HG()I8H1@4<')J;5K*4<:L2M*#)4<2
F,H4<'N&O

È




     !

 £  
 N       8   7     
   '>T   Œ5   2
65 72 8    9 (F H 
  <%QD!    !     :)J   35    '> {   2  8 
;    – )  v8   –2 92 4   y8    5 ' 3 NA   )      






" $ %$# $ A  ( (       # $ A  (     
     {)         
 |A  
 LI  
  ) 
     3  > 7  x    !   
    :' 
   '>    7   5>'  
Ç     ! 4 {2  9 2 5  !i5    ;    
    
 ,  ! 4 M{  
5   3            ?*          3     >   

  
          A)
 ® O –*        %”  ?Az!      O˜*      ?    2  9    


 





     5  '  ?@   Ov2             ;}@ ,         Ž]8:!   




 >!7 2 '    ”F      *  ,   E'  ,  A:     
 '& < 2   D2 5   y* 

 

F J    7   ™®–Â *   2'  
 8.   :   zA   
  
 ]8   Á
  '     242    >42  v8    –*       2   ?w   5      |   
 9     :2  9        B2  9 >  28   >T2     
     H2    










Ç]     
    '  8   232  2 
    
  2      >2  z2  9       
 
|AР    @  ,LI  5  >!2   *     @'    8    Π   z2  9
 NA 8H 65  :A¯
  

23 2    ) Q    :2  9   +* 2 
-,  5 %! ­*     

  
 )   
>!' 5  

 

 )(Q    7x*      
       5  ' @   Ov2   
    '  3   ;}*   . 
)( 

F       ]   :|    2  9 {% 7 *        3232 2  )   ;})   

] )     x2  9   AM               $ ( ?I  >6;      ) 
p2  9  
  DA 8N  /%”     
          N'          >32  v8  
AH ?®     :2  9   1024¬4369 587   
   ;})    M   
    'T      
        $  (  # :2   
 8 A  7N!  :*  , x' * 
   1A & #    ]8 7  '
 B    ;     :2  9   N)L  2   
 ]8 N2  9  NA E= B! 3 B  2  9 N  2  
5>8  I       '  8   32 
     9 {Ç >'  > Z U:V>W ¿ È Ã  F    9 
:8; :<: (4L2B$&*'C+,I&*234<:=< $&:<$A1(:L*&? +><? 234<')$AI(I:<4L'4@ F@8H+)+)4<:<464<A2M!82A<CBDB 0384<$HO À
È

  '    
 B
*  žZ ULV>W ¿  à  –T 32 
   >      7  
 x  ' 2 
2 >O 
     B2  9     
  
      #   z> 32   8 %$# EI    
     x2 >O

     2  9  
      # ´ ,  '    
   
      # ¥      
      >'52
 
     
  H       ' 2    ;     2  9   Œ >32   8 & ¥ % $ & ´ & ¥ (      
¸
²& ° %$# ²   
 2  9        
 HI  ;   
     
   Π   {2  T2 :2 >O

     |2  9  (D   
     
    ®  y*'   
      # ´ # ¥ Ä Ä Ä # ¬,#I     
 
 QA  
      # ¬ ¼ ´ '          12  9%       2     Q     ;     12  9
¬
    2  9  A   M >32   8 & ¬ ¼ ´ % 7³t¼ ´ ´ &  =      '35 2 ;  ' –   '{2 
±
$
 ¿ È Ã w?   5      t>42  v8 {      
        
 :  & ”® ;    
& ¥% & ´ & ¥(
¸
2 >O 
     2  9À  '    
  M!]       H  
    A 1I :!]     
 
      

     5  '  1*    Ov2   
           ;}*        ¬  ™!     
  2     ?2  9      
  
      # ²  Æ ¶ Æ ®    z!>32  v8 & ² % ± ›³t´ &  <w   
 Q!>32  v8        B2  9 1A 

 


:
   
 ¬   1  T2      ; ¬     12  9      
 
¼ ´  ?  3   
$ ¬
      ²    –2  9  ™A    2   $ ²


#
& % ± 7³t´ &  ( µ & ¼ ´ % ± 7³t´ &  (
68           y8 
    ;     {2  9   A     >32   8  & ¬ ¼ ´ % ± ›¬ ³t¼ ´ ´ &  

 



=      3 ™B   !!'  2      '  8  %    y5>'          
    

 8 4 2328     
  >!' 5 ¯  x2  9     
  ¶  
      # ²   
 >32   8  y5   28*  3 2   # ² <     
     M   65  ®.2 >O 
     
2  9   B232       {  2 
 ¯
   

%( ¿ Œ
   2  2  9

 ¶   z2  9  Aê° %( ¿ Œ  N2  9  ¶ ) % 1A >'35½Ã
 (%  ¿ ™  x2  9  ¶ >   ?A >'5½Ã
°
¬& ² Â ¬ &¼ ² ´
± 7³t² ´ &  ± ¬ ›³t´ ´ & 
°
¬& µ & ¬ ¼¼ ´
± 7³t´ &  ± 7³t´ & 
I        ' E '   3  )   
 %    3  !       
       
 32328
     y*'  ! 9    8 >    3242 2 35 ÁÇ}@     
  
           
  *'{ 5z 32    
  >*65 M '   4   {  7       H   
  
    


  9  Œ2  9    F  :       *' 1 5 x 32        N    1 O     






È*

23      9 
=t 28  1) ' L  B     3 '  3       
    x   !  2428yO
*2   
   9?¢ °  ´  
  ) 

  
  ' 
 @  ,  ™ 2<2   
 !  
 
  
 2 ¢ $ ( 2  9     5  '    – 2  Nr5        9   ™2   
  

    '   3 M<2 >O 
     N2  9  
  ' 5  
    N '   4  2      
 2  5 ' 
*    Ov2   
           ;}@ ,   !       I        
  '5 


    '   3  ' !9     
 2* B5  8z 2  238       2 >   >  23    !)  238
  2  
   '  
 N%|2  9 D”2     !    '>MM
À ÄÀ
  










Probability of link

1e-01
Derived
Ideal

1e-02
1e-03
1e-04
1e-05
1e-06
1e-07
1e-08
1e00

1e01

1e02 1e03 1e04
Length of link

1e05

1e06

    ]¯t=  
    '3   |2 >O 
     2  9* 
   
 ]8   5  ' O 

$  '5

 (  :>  
     
 2  y5 '  B*    Ov2   
    '3      ;}*

   3
F 
 2

      '   
, $  
(

0.005
Error

Absolute error

0.000
-0.005
-0.010
-0.015
-0.020
1e00

   

 ¯#=  > 24    #) 
2   
           ;}*   


1e01

1e02 1e03 1e04
Length of link

1e05

1e06

 
  '35 
:
    '3    
    
 2  5 ' Q*    O

  

ÈÈ

I  2  ) '  
 ;]) '  ,   2   '  5–2  9  T2      ' 8@¯   
 
!      MS>W[yZ›‰U2  9    2       2  9        
 ž= H) ' H  
  ' 8   2 N        1) ' |cQ' 2       ' 8 '3    5 KO






 238 #I B      2  D)      
  x 2    
       N)    1'2  <  
     '        2     '>T 


=   1  2  :)H  ? 2   
  9 8 %  
 '  ZUEV>W ¿ + Ãp M   N   7  
À
     * )B ,  2   5   ' 
   '>     y8 
  3'>2 <)      7
 242       >' ,     5  v8   z  >42  v8  2        2 >






J  '   M , ' 2   5  x' !  
  9  
 | 2 ½O  2  '  z!  '       > 7 >)
z       7   
 '>  £)Œ   
 %  x         2 9 238   ' 32 >
 !
   2 
 )B   2  H     








/ 







)


  







=t    L) ' Lt 
     !     L   |” 323  ,   {2   

   9 B¢Ž°  ´      >2 4  2  52    –F% 2  52  
 !    




    
         
      *'  
   
 23¢ $ ( 2 >O 
     {2  9 !   ?) 
   5  '  x*    Ov2  

           ;}* ,  ;}2   
  žÇ     *  ?  
  
     
 3238M 8™%  > 
  !  '        *| 2         >  
 
F ! '  2        9   N >% !   
  '   &    
  32  
 
I   Á  )   
 238 !  z'  
    7   
ž
       
   N  
  32  
  

   
    :)      75 23  &   :' 
'  2     2 5  ' 



À

À
À
    !   {2     65 '   ] ) B<   MB% !    a2
À >À !7     ]   Q” 32   >
 !7  





I    
 1 323'   
 8 ? >T2   xP 
 N2 5   y*     2       
 >         2 {I       :*   T2         Mr5  !     LT2  



 

232   ¯







?=  ' 


  



>7!

     




  N238–!]      
   
  2 5  
È


    

    



 
    
      8

 
 2 5     B      
    1'  2 
       
  $    32 >   
 8]  7 ){!     ' 8 
 2    ¿ >à ( :I x         8Œ 28™     
7  H' 
    
 | < 32  
           
  
  
 |        L 
 '   2  7     '     1|  –   '       









       
      >!7M 32 
   ' !9 zP; 

 )  $     {2  3   P5 (   
      37  
    B2      !9  ' !9 zI      >!7 ' !    N      

 



 |  1}     9  ' 9     :  L   28™5  '    {    |2    



 



7]     ; ?     @  x         






         
 E7      ”    y*        {
      
      
    '     8:  D2  9   (P 
 (     ?)   y*
 Q 32  
  2               : > Q  1 9 '9    ' 8
    '     

Fraction of failed searches

  242,

0.7
Failed Searches
Random Re-route
Backtracking

0.6
0.5
0.4
0.3
0.2
0.1
0.0
0.0

    ]¯= '   ™
 42  
  
 

0.1

0.2 0.3 0.4 0.5 0.6 0.7
Fraction of failed nodes

  32 

       

  '  !     z
 %'  3 Á

)


 2 5   


0.8

xa    –   {%   

 

 : 32    
 2 5   
 I       
  9– 5  232  5    2 > 
 ) ?( 32   
5 3       '   

 

   >!7* Œ !  H 32    )  12 '  
%'  3 ™E 42  
  >!!    

 

&
'   £1 32  
  
  F  

     !9  ' !9  35     PT ,  :r5 , 
&
  
    ) Q 323 { :>  
    x         
  ¯   
    32  

 
       4232  2       32  
  >7! =  :' 2   > x5  8   ' À  
  
À
È
  '  



2 





)     



   
 8 9 '9 

28 3 2328

     

Number of routing hops

17
Failed Search
Random Re-route
Backtracking

16
15
14
13
12
11
10
09
0.0

0.1

0.2 0.3 0.4 0.5 0.6 0.7
Fraction of failed nodes

0.8

     +]¯= 65 ' ]   D c!   {D% !     a2  >!! 
'   z 32  
  
 

      ) Qt!   N Q%     a2  >7! ?5 '   1%   
 32  
  
 w            9 
   232     323    5   ] ) ”T!  
     232 ;      Œ!9   9  BI      : E' 
          
5   ) c   L          {!   D> 32   8 D 323 




 ' B=   > ?)              >!! L 32     {   !  


$    N   !   N  2      23)
2 5    ]   Q   :
(


 +

Fraction of failed searches

  '

{    x   

 

   
 

1.0
0.9

Constructed Network
Ideal network

0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0.0
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
Probability of node failure

 ¯
 :>'    N%    D 32   >!!     2
9z À   !    
   
      '   3 5
  –Ç      



È

 

!9




   

I 2  N>  
    >!7z) ' |   
 2   9  
 D     9
   7   
    | '   3 5  Ç     #I |'       (p   !   
À
  9x  ´    *  2328   232       ? '   4  







x
 2 5   
 ÀÀÀÀ
  '<   M'  N238N!    =?  >!!     '   3  E'!  { 32 










 
     32 >    P'     '  8   >!2    ;}           !     ) 
L 42  
  >!7    –>42  v8.  
 M 423   '   I   À        9
   7   
          3 
  ?)  '    232     
 2   !9  5   
     <  ()                !28  232 $   '    (F 





 (
>)
 >'      23)2  9     B2  9 
    '    m)J      >!!z)  '  '28 
    2



  ,             Q M)L     N65  
 











     )

 4  

M 
 2

|

Q 9 
 





&3;3

#"%$



B

%3 +E3



;<'=





@;K3

3 + , 



G - 3


A

3





D

:G'3

E3?



Q



NVX2

@



2:

-3-43

63-

=

(

%3 +

+%3N%3

 3

YZ3

È+

3*

R



3- HK;63

;

!#"%$
#"%$&#"%$
)( 

*+

,

*-

#"%$
#"%$



+6H

43

=

3 E3D;63
JI



G2

A

E3

H

+>2 %3-

C=

?

 QP

@5,3

3

0

-H 

  >

H

3- 

A

 

 2-

@



=

 N

3->





-3-

3- LM







H 

A

W>

+

?



A

U2V3

=#=

>>

>> C

 F563 F


PQ

!<'=

¯<Ç}

8



>8   
 2 * 
 E  
 8 !
= >2  > #  
 2 E@ 
 I   : 
 
3
 8  : 323 
Q#2 >O 
  2 9  ° #$ 2 ¢ (
I  65 !   
 8x
r5 !2 8 D9  
  
   >
 3    :
>!28  2 ! s >!7
B O >O˜  8
5
    y8 2 2 ?* 
 2    2 9
 8
  5  *  Ov2 
  T   ;}@
 2 N 2
I

:* P
  Œ

 x 2   % 7




.



#"%$
#"%$'#"%$
#"%$
#"%$'#"%$

#"%$
#"%$0
7#"%$
8
90:#"%$
8



  263



#"%$

/.



p  E 

" $ »¦¦ (
»¦ ¿ O Ã
» ¦ ¦ ( ¿ = D>O 
 
 Ã

 

¦(
" $ ¦5 (
O
O
O







  263

= >T2





43,563



  D 

# $ 2 ¥ ¢
(
" $5
»
¦
#$
" $ »
5 (
5
# $ ¦
(
#$ » ¦
5 (
¦(
# $
#$ » ¦
5 (


¿ 2  D¢*Ã
$ 2 ¢ ¢ Ã
¿ 2 D ¢*Ã
$ 2 ¢ ¢ Ã

¿ 2 D ¢*Ã



9x

 > 32 v8 &
 
 

 > 32 v8 &
12







N323



+

S3

HO C
T %3

A

  %3 +E3

3

A &3N 6

3->
C63

>

=

V

FG


E9 D
8  3242 
 


  
  2 : 28 >28  O
 2  3   2 39  2    7 2
 N*  32 8   


32 > 
D2 
 E9.%:   O 

 2   I 2 
  Á  
 

 H 
   2”y8 3 2 
    H  7
– 2  
? 4! E2 
 242  !  
1 5 4 
 %  T2 3  >  2  8 3 2
     
7 
   
 E!9yO˜ 32 

L% 

 >!! 7
: 
 2  232
 N23]  ž >]8
   !  { 5 
¿ Ã (  ;} 
  –2} 2 ] 
 $
2 2 2  !  
>
>!7 7  ! ? !9  9  28 :!65   !%   >!7

  ? 323 F D2 


 28   8Á% 2328 
 

   
 D x 
  
(u 32 
 >7!
  

 3  
D2 
   
 8    8™  L  
 8  !
   8
|8

 > 
 65 
 
  >T2   2 9  y8 8zT
 323


3 

AG



3P>

 - H  

-M 

3 + Q

-3 +E3

3





 L

 



A



U3

 



@

?%3 +E3

3





3

3

%3

3

4353

>



!

U 







<

&3 C



&3

3

+63

- +

&3

3 

E3

 N

3

&3-



?

-3-  

A

 H >63

=



À







H



  U

@

3-2 

3

 H

  

%3D2





W

- A
3

  



3

52F3



-6H

HM- 
A



- V+> -3

C>

Q3 U

%3-

3

3 E3

 3

=



;63

+M



H

 -M

3 %3 +E3



3



3

3

 63 M

E3W



63-



H--

>



5



 



-3- 





%3-2 

W3

 AB3

%3-

H%3

=

3- H





63-P

%3-2 



H

+

 M



%3 C

'

(

C=

(



 - H  R 





(

=

=

- A

=

3



A



AE3- H

E3 A

U3

 93

-

3

%3-B3

A 43

=



2



@

5

H  3

3

A





 









-3- 

+3Q3



 

- H ?3



3







3 U3



P%3-

H 

?>6 &3P



+

@

-;EH %3

3



93- H
A

:&3-

G


 
    
F  7 > 
}; 2    2
 ? 
   
   >2
!   232 
 9 3  >z :T2
:  O >O˜  8



U3

2

>





3

:G

E3->%3

 
  

 H

93



W

A

D3

2>63-E3- H 

M ' F +

-3 +

;

3

&3- 



3-

S3

A


 *



H

; %3

A

=

!#"$

D1

;}2 
 (Q > &% ”  {  O >O˜  8
2 39 (  ¿ + È Ã (< 
 (¿ ')' %>Ã % ½O
8 ¿ ++mà = > 8 ¿(' % È Ã 
 4 68 ¿ mÔ 
   
   >2 > 7M :  O
>O˜  8
=?
:  3 
E9 B  5  
 v8{   

? 4!    ! # 8    
  D9 =t  
  
65 72 8  >T  % 
 3    3!   
 
  ! >


 

= 2] 3 #   
 
  !  r5 !2 8 D9 > ?
  
 8   
5 23 E   
 P  
 9 8 D   5 28 F
D9 2 9 (< 
  !@  
 M   D>O˜2 
 ¯
' w  > < !   
 Q % N28     

7 : 
  ! > * ! 
F (< 
  7

 ¢z 7
 !:   ! DÇ}w O '{(¿ ' Ã  >
x :! > 32 v8  !  

L * T2  N $ ' 23  ( µ ¢ %  9 8 =? c  65 

 2
23 
 2  :   
 ¸
% F 

      
 
 3P  $ % ; :2  QF % 

  (D
  


3
3





SG B

%3

 %3

A





-3







 ?

H



3

+D



M

2%3 +

3

3 

P



 '%3





3 + , 

R

&3-









A

+E3- HM3

+

3

S3

A



G

M3

3

43

>

L3

AE3- H 



'G

SG

=

 P +

E

3



 F3-

3



 K

93-

=


K



3

3*

3

D

;

&3-63

2



3

2

A



3



G3

 

>

3*

H



=

3*

SG 



3 C



 >3

R2P3



SG

R2D3

2

P









+>

=

3

G43



H

/3

 93- HF?3*



=

 R

2 P> 





2

=

H


F

,3 M









W3

 93- H>

H -

3- HG

M E



3







P P3

E3; 

563

>

 C43







C



=

H%3

H >3

2 



N

!E3!

  A2 P



A



T;63




D

6

3 



AG

  3 !3 E3

:G

=

3-;



2 









63-

+ Q

V

E3

+

=

43-

+



'



G 3



Z

+



-3 +

3



  
 D  N28  r5 !2 8  4  
{ 2 D 

   

8 

  2 7
– 2    


 %  
D9
3



  







+

PN3

3- H  W

3*

 V

 -

3

3 +  

 

3

3



=
3

A



63

B3

E3AG 63

, 3,

E3!2!>&3-

3- 

A

2

3

=

w  5  c ! N 2 ! T2   ! 9 8 
  
 r8 Lj
”ekr_ef
fbefa_%k7g Ç] 2t2] 2 v8    v8 ?   2 
  ! > 2} 
  2  7
    N

!   ; :2 3   ! > 
   ½O
D9

  22} 2 8     
     !  "
D2 
 23] 
  2  7    L

!  F  >!! 8N 7 ¶ '
¸

 28–  
 
 ]8 >!! % ! ¶  E!9 D2 
 >2 – 
 3 %!  P >!!  :r5   !%     
 >!! =
a   2 v8Π2 >T2 3  !   ! z 
F

 > 1
w|= T 
3232 >   ! x 
  2} 
 65 !2 8 E!9 

 E >!! 4232  :T2 28 
  
 D 7M  
2    
 !68   
    9 8 w|= 8

   328 *
 :2 ;   7
> 7  {9 8 9 8  :  H  >!;
1  1 328™ 
  >2 3 3 ! L5  
  Ç}7 8

 O
2 5 2 2 4  $ ;}2 
 £Ç  3 * (  


  H2 8 H >   
] 

  F  
!   
   
 68




 9 8z 
  N – 
  r5 
 232    2323 :% :T2 
 !238
>!7  

 H
  23 
 2     
w= Q 8z : 
 ! 2} 

  
 D  !
@

:G

!2



 

E3-

=

3



3

%3

LM43-2

M



3  K


G  

+ 



63-

+

3

%3

>



;




#



3

53

V

E3,



H

+



H%3-

G'


=

3



3





3



A

H&3-



3



3



3







3

H







-M -3

3



=

;- 

2 U

>



+ 



 3
93

;

@; 

3

P 3

-3-2

E3-F-3





3 

=




G 

=

 

E3

3



 %3

3K

H43 C%3AG

'

E

 AE3- H 

G5;63




=



,3

,;63 M

Q







':G 



&3

;

=

63- H


+



 



6

H

AG3

AE3- H 5F3



G

-

3









>

A



'

AE3

E

3 

T

&3

- N

>E3

C- H  V



Q %3 C 93- H

E3



 3

>-

-3



  A 



-3





3

H

-

I 
  
: 
 2* :  O >O˜ 

 232 :j
%p_&('Tlre   : 
5 {65 5 Á  
 5
#  

 
 

 3 

 2   
 
!  

9   >T    B 282 >
 * – :* 28   N !
3

%3

' 

-3- 

AE3- H

/3

=

  !  D'
$



+









H

HV3

93- H

2  G 

+

3 >



3-

U3



=

 



+2 

 




+M

3





93

3



 >E3

-



Q

G13

2

,3

A

+ 

3

A  3

>&3

3?3

=









+ 

93

3

F,

A2E3



E3-L%3



 AE3- H 

 

 AE3- H

E3

G1 R3

,P3



H

 '-3

=

'

!

3

+%3!

+ ?

63



;;

H



3

 P5 >





A 63 G

3



G 







F

H

 >3

-3 F

=

E3

 93- H  263

3

93

H

+>E3- H



+

;3

 E3-

AE3



63-U

A 263

E3-





=



3







3- H

 


S3

A





E43-E

 +

-3-&3 G 3





A



H



D9H 
  
  3 


! 
;]T2 9   > 
 32 zÇ   *
7 
! 23]  
{
 8 3
2 >  3 
   > 

 3     %  >*
   ! 9 8 N 2 
  !

3*

HV3

3 

H



5

A



3-

H C63


)%




V  V +

E3-5%3



H

 

93

H C63

> 

> K 

3

3



3

?

3- 2





=

%3 +

E3->%3

93- H

AE3- HL

3

-3

-

2

AG

T3

93

 >

 +

C>E3- H
E3

G

=<



/G1



363-


> 
> 7.  
9   > = 8
2%  >2 3 
7 |  7  
  
 
>!7 Ç]9   >

 
2  * ybTd ”fq 
 ocq]l>_%q]j !   
}2} B ! ? 9 8 D2
     3P 
   =   D

*  :2 ;  
  O >O˜  O 8
8
 @ <  
* 


–

   ¿ È Ã Ç}9   >T >  32   
  423 ¯ 9   > 2   :65 2
 :2 > %  3 À   
 <! < 
   D 

   
 
 5
 2 ? # $ ' % 2 D¢ (    ™   
 7 Π8 
 5  >8 3242p2 5 N 
  
  2 > !5 5 B N@
Ç]9   > D 2 {  ! 
 
9  ?2 
    2 ]   

w= 8
7

 5  F  
% 8 
 (< 
    V|“@X7Š S>X›Š9  ?2 
 >@ 
  8
 <9 8  
2    8
2328z!] H5 !8Œ2 > 9 8   ? 37   1 ;}  

3238 u% ; :2 % ´ ¥ 
 P  H  
>*  9  ?2 
  
 
9 8  
3232
   8
=  E  D! >  E 
 <%242 ¯ 1
   9 3  >T HÇ   *
Ç] 5 8  { 2 
 D9 65  
 Ç   * * I 35  H
 32   9 
 > 2   –Ç   * È Ç] >2 3  D 9 3  > > 5 –Ç  3 *
Ç   * 
 *  
    2 ½O 2    
% 9 

     !
 > (D  28

  !2 > N
   
 Ç  3 * +  2328   23 

–Ç  3 * '
À
 
    !






&3









3

3

 

D

  L

-3

;63 M

-3-F

A

* %3

>AG 

S3

A

%3- H



2 -

3
3



%3

N

63



 -

53

 '-3



 

2,%3-
-3

H

U 6

+63

93- H

=



H



H

93- H

 @

 63-2

-3- H

=

 

=

C

H



-



3 S3





P3



++

H 

93

U%3-

3





E

G 

H%3

93

563

' 



3

M>

,63-

A  3



N



 '%3



H



 %3



' 

+E3

H %3

13



3



93- H

2 AE3- H 

+





+

@; 



=

  P +



+ ?

H43 C%3AG 

'

&3





93- H




H

H

 AV 

=

 U C

=

Z

K 

 %3



3

=

-

T3

=

+H 





2 AE3- H 

+ ,T

HM 



 +



-3

3



 

-3-2 

 B

3T3



 

+3- + 

E







%3,V

 K +

=



+AG

2

H



H

43-

3



43

P

-3- 

=

H



>







AE3- 



;3

A 43

G

3 E35

H

-3-

U

=#=

V&3

A

E3 +

W3

'  

E3

Q

H 

=

%3?

MT2

+ :G&

-  &33 !

+ 93- H



43

 +

D



@5-  G 





U243




-6H  >> %3



3

QM

=

=

3 3- ;



- G

 +





3

 +

K C 

C 



 2>3

 @

:G

63-?

R



E

'  +

=

+ 93- H

H-

U '



A



2

63-

=

+

H

=



C

H





93- H

=

93- H 

3- 2

,

3



?

3

 ' F +

-3- D



 ' K +



3



 

93- H

-

=

= <'=



=

T! 

G 

H

=

!

j
%p_& f_j k  
  
 ]8%  ¿ + Ã ? 
  
 2  
  E

!   

 <  28  > 2 9 
 2
5 2  9 x2 2 9 
 2 # 232  

  
  8™9 8  7 ¶    À !  
 2 5 2 ¶  ' > >
2 5 2 ¶ 
  
 28   P; 
  > 32 8 & F À 
 28 Ov2 9 
 9 M2 7  

 z 
  {*  
 !  {* % !ž2
? 37 > > c
   2 5 2  * ;] 2 ,
65   ´ ¹ ¥ *  1   
 = 2
@4LF J8 *F)(2#231(F)F,*83B$A B F(:L 1(084<A2B:<')J /234<'(JH:<9?(4=B A'(234L' 4KO HO<G)5 8#H'(*3384<+(1(I*5 )M8023H1(8$0HG(5 8
 ( B F(:<HG@4<2B') B  @>8<NO
4G &3

T


3 @

2





L



- 



- 



%3



+E

 +

<

2

-3-



=



SG/ +



&3 P;3 N H

-
8

H43

H&3

+

H>



=

E3

!3











 63

-

=

 



G

3

 





<

3





93

2

%3Q2

-H

-3

2

/





H43

%3-QE3

-3DD



F

1=

E3-;%3

A



 

-3AG



63!

 93L



 +





U



 CAG

-

2



=



232 
 > 4 2 >19 8
Œ2 5 2 ? 5
 >7!z 
2 5 2 5
2 ? 65
2   
3

E3V



 -3-

3





T

3










.  5  
  3!9]238 Ç >!7 .%
525 >7! MP    B2 5 2 
   
 238
 {   2 >    
     2 5
 5  !   :  ´ ¹ ´  
 > >!7 

5 
>!!
 # 2 ¢ ´ ¹ 
 ´ º ¢  

; 5 28  
 
 ¿ + )+ '
È *Ã  
    8M
¿* * ' Ã
 >  > 3 2 >!28N 2 À H > 232 2 8
À
Q

P63





A

  A 



'3

 3



+E



+

3

-

E33



<

 -3-



G



G



8

G 

<

2

3

,

 +





A

 '%3



M

HEAD

;

H



3

+ 

 
]Ç 9 
2 2

+E

!E3

G





 

;63 X

H +

=



;63



 

43

#"%$
SG 

G 

 


 !
2 (D
 65 
25 2
À
  

V

E3



8



 

JGB

L 3L2

3



=

%3



3-

%3





@;?3 E3 >



+E3- H 

3 C

+%3Q2



+



K3

 

H

E3 U

JGBH  U

-3-

   ! 






=

 N



=

TAIL
33
13
13

*





'¯

33

48

33

48

3

+E3- H  H;

 %3



A

H

63















H 

75

F 

 

LEVEL 0

99



+E

 +

-3AG



-3

H -%3-

3

 C

?3







43- 3

-3-Q





;3

3

?





GD 

3



%3-

&3

 C43

H

2%3,3





3

=

%3- H





H&3

  3

H %3-&3

 

L

AG



=

-R

E3



E35

 

A













/



3 H ?

1> ' U +

3-

 +





2%3- 



3

+E3- H L 

*

A

?



3

H 

%3



G

-3AGB

H

3 3

E3

A

3



3 

F

=

243 - 

-3 +

 93-QQU- 



3



=



E3

6



H %3-&3

WM '

 C

 



+

V



 A

;





5 3

=





AG

-33

AE3- H 12!

3

A- H 



<

%33 !

H

C>R

+  :E3- H





+

  

>

?

2%3;

%3-5 

U '

>







 +E3

%3AG

Q2

D



-3



M

 

=





=

3



E3

2%3AG&

H

,3

E3!3

2%3-AG

;3

%3

+ 93- H

3- H



6

3

3

%3



3



+>  3 LQ 

1

 -3-63- H D3

H

;

-3Q



 

E3



+E3- H



93



 Q



HN

2

(



 +E3

93

;

3



H



E

B

E3-Q-3







2%3?;63

 93-



R

 3





H

+ 93- H

 



9353



=

9 M2

LEVEL 1

H¢™°  
 
 2 ¢° 2 5 2
I E2 
 2 9 
!  32 >  9 N2  !* v8] 3 2 >8 


   c
 > 2}  | 28 
   

  ?  
 >  

8
   H  
 3 >2  324
9 –2 2
  ™%||*
  L2 9 | 
 
 8 
 ] |5}2  >T2 H* – 323 
   Ç 
 28 H  
 > >    ½Ov2 5 2#2 7 !  
 
2 * |
 323   :65 2 >   2

 %  *  { E} {
   ™ 232 >!!Œ   Ç]9 Œ2 2 >J L  >
 
 5 
 2  

>   > 
    5
 ]  3 2# 
   324 Ç  !  

  
  5  { 28 #$ ' (     
 5 
E! > 32 v8{  
  423
3242 2 N2 > %  3 z  5 5  

 23 3  
 P
 2  M 9 M2 
 232 9   >
9 2 !  ¢  

9 3  >
B 2 2 2 9 
 2 =
2 5 2 2 B  232  

9   > 
   
 %!
  I  
9 2 À    68Œ
82 {2 5 2 ¶ 
 5 !8  
  > 3 
 
 2 } 42   
 > T2  
  2  >  # $ 2 ¢ ( 2 5 2 D 65 
9   > * >!7
 
 
 2   
2     * 



6

21

LEVEL 2



2%3-

H

!

 HF



3

3

=

2

 -3- A E3



5

=

H

+E





H

=

 

   % 9 x2  
 
 
* ' 
2   (% 9 3 2 ( x
>2 
–
 3  28  9 3  >T
9   >  35 2  232   Œ(¢ 9 ™2
 ? >   >    ?2 2 5 2
    >
82
!ž2 5 2  !   y8 
 5 
 2  
  > O
3 

>!7
232 2
H*  2 @  423 
  *
   : !  
  
 $ 2 ¢ ( y* 1 5 

   > 32 8 
 

2 
 F .Ç   *
 5  9 3  > >  42   
  423
;]  H : " $ ´ ¦ ( H¢  

  >

  5
" $ 2 (¢ (<
   * #$ 23 ¢ (
F 

  x65 
 { 2 2   T 5
>!7
> > B  >!8  
   
{

!  ( 
   
 L O
 2   2 9 
 8 
    
8 ?   % v81 
  ¿ *>Ã


I  32  z23 M* 
    
P 


  
   :   > 
]8 9 3  >  
  42 > 8
9   > 
   2 x : 
 2
" $ 23 ¢ ( 5  {
 
 
  
  @ 
 
 !
I  5 % 2 
 P 3  9   > %(  28 ? 3!H2
 
 C™ 2
 ? 232 
 8 d.q}d n(q lmj  &_ Tq k6bTl  $ C ( I  9  $ C (
P  
 
D 
 r5   P; 
 2 > 2   N  4  238 #$ 23 ¢ ( 2 x P;{  $ C (
 
  65  =? 
 :     M5    5 8™2 9 


 x
2
 9   >T |2 > 2 
 ]8  P D 

 2 2 > 2 


  
 C
]8  
  28  : P;   $ C (
=t   >*  !   2328
3242 
   

P
2 > 2     242 P D 
 
|7 >    
 2  
 232 P D 
 I
   x    
 5 
 2! >    D 
 >
     E 


 
  2 N
 
 
y
°
 2 
´
¥
Ä
Ä
Ä
 G F 9
 À 
 ¶   ¶    P;: c2  ¶ I    : 8 D 

F pA 
 > *  D 
  A  pA { P;x
  
 A 
° A I ² 
 ¶ O z7 >  ?  E 
 I ´  ¥ %   N H P; $ * 28 : 8 ( 
 D 
 ´ 
 ¥

 9 3  >  *  Ž2 5 2 2 8 
 28 Ov2 9 
 2 ·  
1
232   
 { 
     * % F
 2  !    
 28 Ov2 9 

È
+E3- H 



2

3

T 



93 F3 V '

E3 


V3 M

A

3- A

E3



+3

3



 H












>



93- H

- H

+E3-



 - H  4 



3





H -

V3

 @

3 K2



H&3



-35

3



H



3AG

;63 M

2





C

M







'3

3





V3

 +



A

93

A

2%3-

3





3-



2

 63





G 





; /





-3



H



M 

-

-E3-2

Q



-3-,P



H H

  3

C

H

 3

93

3 E3

V

25

 3-E3- H

 + 93

;3 >

3

 



3

 3

K 



3

-3 

,3



GE

+

3

 63

H +%3

W

G %3- +3- 

G&563

C63

=#=

H>

3

=

 3

=

G 

+63

+D2

 + 93

3

=



=

 H

A

3



3

G 

=

H

3 >

;

H-+

=

+63

3

=

 ' P +

W

DD

=

=

;



H

63- H 

 3

3

+2- 



W2P

C>63

N

 3

H +%3- 

+ 3- 3

AG' +63

+  3

=

 63 U



H>

3- H V3 E3

G



3

3 N

A

 

+ 









G H

 

=

 +

A

=

 

-  &33

-3-

W3

 3

+>





=

3





;63

93

 '



+ 93-



=

 





- 

CE

 M2

U H

3

3 N



!



P  F +

G& C63

 + 93





-3- A

C=

'Q



S3

+E

2

3



3



%3

=

3



3AG& 3

353

3



3

3*

,



 63



H

V

 H



+E3

  U +

 



 X->  +63



GD

E3-Q-3



E3

 +

C=





+E

 '

3



 63- H



93- HW-E3- '2 

V H

T '

93- H

H243-

G   M

H 

E3;

!3

+ 



F

53

A

3

+M

, H







H

H





E3

-3 +

>

&3;3 F



H

;63

+



+63

=

+

3

E3T 



3





63,3

+

:GT3



--





>2 E3- 

V





@

Z ' Z +

JG

3

=

JG13

#"%$

 

 +3

 +





=

M>



E3





>



%3-



@



!-M

3- HF3

>3-

B3



=



AG V 

 H



E3







GH

A

 +



G

Q2







+



-3- &

AG&3

;P

3%3 H

6

=

D 6? R




=







+ JG





-3



G3

H +%3- 


2 
· 
232C.%  3!
H P;™  $ C (  H 
  I 68 
 > 4 2 >?2 ·  > ?(2 5 2 ¶  
 
]° ¶ = 5
P  328 
 28 Ov2 9 

2 
  2 :T2
 @ 28  ·  L2 D  
 >   

9 3  > N  238  328 ·  
 T28yOv2 9 
 2
 
   ! 
  Q   
   5   >  
  5 > >2 7 · 2   
 
5 > >2
-3

H43-2 Q

 -3-



-3-

2

2%3



 '

3

E +





G12



2,H

=

&3-E3- HG H

A

A





 

Z

E3



2  -3

 93

 +

3

Q

F3

H

+

-2 

;

;3

>

3





E3

%3

2



93

+;

+

 63



:G

E3!



3* F

E +

3

M

%3-

H

-

=

5

CE3







&3

=

3 



 H

?  

C

H

=

33

10

01

75

99

00

00

11

11

21

75

99

10

11

11

00

SKIP LIST

%]¯

LEVEL 2
48

13

6

21
13
MEMBERSHIP
VECTOR

33

48

01

00

13

21

33

48

75

99

00

10

01

00

11

11

A



*

  N3







%3



N

3 V

@





C ; 3



 3



3

3



=

2

+

-

&3

 H







3 H



 

=#=

LEVEL 0

 +

%3

2?3





93- H

 +2

H

=

)

93-

G 

-





-3

H

 

H

GR

CE3



H-

:G

CE3

+-3

E3

3- H

H

E3B

E +

2

H

+

E3

=

%3-13





O  K

3

+

6

A



3



@





 



C6 435

3*

) +6 &3R

 





G

AE3-

6

 G 

<

F

35

>



=

25



%3 H
G





3



 +63

L

%3AG3



2

<

G 

M

=

E3

+>



RE3

C> 

G

 +

:G



3

2%3AG 

H

-

3 



=



)

F 







3

 





 +

-



P

-+ H  2

+ E3-

R

=

F;3

;  +63

=

2F>P-2 





E3

 +3- 



 ' F +

RN 



563->



=

9 3  >

LEVEL 1

H¢M°  
 
 23 (¢|° 2 5 2
I  2   9H 9   >
 
   >T    


C 
 ? 5 C 
  > 
  
 · P C'& |2  
    @
25 2¶

  
   
    T   5 28 · 
 ² @ 3  7
 
 ; I 3232 ? C ² EC & 2  y* <2 5 2 ¶ 
 C ² %DC'& E  y*
 2 3232  9x   ² Q%
 328N } 5  :* >T2   


 232 
;}  ?2 9 C ²  ²¥ ¹ ´  I ? C m; 5 2”%  P ?2 5 2 
? 4!HC
2  M2
C™ ?2 ?
Ä * 2 5 2  Â '
2  5 5 . 9   > k6l>_q ¿ %+
mÃ} 9 {2  ! >  2 
2 5 2 F   9z 9  2 | 2328
  E 
  5 > >2 · · ´ · ¥
ÄÄÄ
?   5 24  · ²  2 5 2 ¶ 2 
 5 ¯
  
Dq]džd 
e c‚  „cZU  ·  ˆ7ZŒV‰7—rŠ “£œX V7“† •#ŠaU† VW “†}Vyˆ!ZU 1
 cS>XŒVR\  G u¡{U†Z–‰ Z ŸZRT’›Z
¹
· · ´ · ¥ Ä Ä Ä ¡(•†}ZXZNZVy’† · ² ° 
·  ² ¡Š4‰Vx‰!—mŠ “WYŠ4‰U•#ŠaU†“}V>X V>‡xZ UvZ X & ° 
  
 ´ 
 §Blm bub¨! © E8   
2  232
¶ = 2 ·  2 ·  ? 37  


 

 
 C > > · ²   $ C (  ¶ 
°   ¶ T 
  
   5 }   


=

%3L3

3 



&3

2%3



+2  G 3

G

 > 32 8  C 2  > > · ² ¼ ´    > 32 v8 
5 |}   – > 42 v8 & ° 
  
 ¹ ´ 

8  
 @ 
 5 x% 8.  NC · ² =? 7  


  
 D > 32 8 & 
 · · ´ Ä Ä Ä  9 M2
  
 C 
  3™ 5    $ C ( t2  9 32
fa_j kxlmq j krlm&_ kr_b@`   
 C
  63

3

&3

E3

  U

+;;63



H



43

43

%3

G 

>

  63

LF

3






3

+





3 V



=

+

;63

  263

63;

G 



(" #"



  63

 



 +Q



93

G

2%3

² ¼ ´ =

  
 Q 
· ² > > · ² ¼ ´ 





 '

&3

W3

 +P

·

%3



=



=

33



E3

3 E363;2

A

Z

P 

 $ C ( ² ¼ ² °

3

;63

 232 
  j
%p_&
A




3

=

˜, £,T/ ' )˜-c/
F   2 :2
3  z  O >O˜  8 ª
9   > !  

9   > 4232# ™ ! =  ! >  
  M2 ; 3  > 3: 
 
  9 8 >  9 8    2 8 3 2 7  N
 
E 8 ¯
F  P > !
>9 5 8 7  * T2    !  
2  5 238
w= >! ! ?     
 
 P  
  7 9 8
 
 
? 3!  
 3232  * T2   3! 9 8 = P > 7 5
  v8 

> 32 8 ?    
  5 ] 
 2 
 2   
  

 9   > Q 
 !

  <Q 2 

Π  ! > 
  T 
  !

 7  

9 
 >   

 

  9 8    
  
   7N  #$ 23 ¢ (
2 5 2 F 

  7  
 2  
 #$ 23 ¢ (    %
  H5  
F * £  >*65 >! !
 ¢  !
 E!9 ! 7
#$ 23 ¢ 2 9 :%ZVy’† 7 
 * 2 
x   2
(
#$ ¢B23 ¢ 2 9
  D9 =
{!–      
 
(
#$  23  2 9 E% w|=
    ] Q 7
 8
  
(
$  3
(   7
4232}   
 3 2328B7 9 



 xÇ   *  ( ! 7
 Q2 9 >    2 = 8 2
] 
 
5     
c2 9   ! F
   H  
   ] Ec* 
9 
 > 
 8
 2} 2 v8 









 



 93

 



 C

,3






'

+ E3-

3



+>2

C63







=



,K3

 +

M%3



D3



=






!3

H +



!

 '

H

 R

?M



 93- H 



=

3*

3,T

3;>243-V3

R



?>

2

,>


A 63

93- H

G



%3- H

63,F



@

-3- 

 

=





;





+

;H

 





93

Y>
K

=

 A

F3

=





3 3-

43?3

 '-3

3



3





> QG





+

H

3- 563

H-3-AG

,V3

H%3-





G

+E

--E

3

3 

E3V63



N>

R

=

63

=



563-

;-3



3

RE3

3

>

=

-

3

6

&3



? 

H

  A 

2





+%3N





3 

!3 E3

=









+Q

H

N



43-

H-L>

B



H





63-



  C

A



'



?3

+
=

-

2 

=

AG 

 +

E3;3-  ?





AG 



G

- 





H

3

AG5;63



43-





A

 +

!3



63-D

  >



43-2 

 '





H

%3 +

3

U

 '?V3







H



H -

N



L

N>243- 



U





H -

V

-3



L3



-R

63- HG



 +





3

2 '

3









  V +

@

H

M5

  63



- A D>

>



- 

L

 93 

K



  X

3

'L3

>



 %3

A





G



S3

A

=

2 F3

H

E3

,



>E

H>>3%3- 

3

43-E3- H

GB

3

3





+%3!

63

 

;

3





U3

-3

P3

:G 


A

6 V 

H&3

+TKL 

=

 





D

 


Ç]9  
8
5 8 32 >  9 3  > 

  
 28 
 5 2 
 8Hw > O
5 8Z UEVWK ¿ È ' à Ç}9  D 32 
  ” 7 2 > 238yOv2 9 
 9 z2 x2 9  ‡:Vy’†yŠR@Z›‰
 8
= 7
>  

 B
 
? 4!  8 > 2} 

$  ; N2   !   
F 

    *  
232  !
232 
(
 > !  
 2 9 9   >T  ! 
 5 
 2 
 
 !


> 2 H2 9 

w= 
   ! >  N28 
   
 65  232  mO
!  : 
>!!ΠQ D
¯;   >!!™2}  
 
? 37 | ! 2 t 8
>!!  3
32 >  9   > Ç  
   
>!7H ! 
!
D  
 8x
w|=

 { > 3 2 > 
 
 23]   !   
 
Ç]9   ( ( !  a2328 :2

 

 ! 
9 O  >}Ov2 9 7   M 
 N 32 
  2 8
= Ç]9   

 ”ek  f%b yefa_4k›g
    
 
 5 
    
  28  
   ! 
 
 


 
  v8  2328 Q   8] 


 ? 37 !65 
 ybT`@k6q}`@k fb efa_%k7g 
  

5 
 

 >7! !! 65 
 ybT`tj k6lme_a`cq]h f%bTeh ntefe` y_a` ' 
w 5  
  

 24 
  
 
? 3! p2} 
   >
 > zQ ! –   
 
 * T2 ] 5 M5 82 
 
12 
 2 
   
   9Á  



   5 242KO  
 

 2”23] 2 v8  ; :T2    ! > :
 } |PT2    
  
>!7 {%D 2 
 P2 E : > 


  x ? 4!  8 > 5 
 5  
 5
 w|=
* –Z UV>W (¿ ' % *à 
 T!Z UDV>W ¿ +mÃp 65 *  
  
 28  
z
 D
  O >O˜  8 :
 > –

!  %: ! 
  ! 
  =
  32 
 

7  65    ! ? 3! >



   
 3% x28 : 242  !  : 

 N 42 
  > w|=
65  232  !
 8

 7 !
 9 8 B
 *
 !
 

  L
 @
!

 7 7
   w|= D9 =t  
 *  !
w= >!! 


3,> %3

'

=

V3

 '%3

F-> 2 T3 K ' F +



 





+ 





E3T









3

,

3

%3









@





>

H

H>2







G D3



 3

HMQ

3





H

H--

+6H



? 

 

G/3





E43-E

N

AG



G H

3





G4

=

3 +

+

H%3-F3

- 

3

VH
AE3

+



H>

G3 C  



&3

2>63

+



-3- N

 



;

> 3>H

&3



H>

,2

3-F3

63/2

E3K63

>

HM

G

QH  

P3

3

43

>

U;3











2

L

H>X
=

>

H

3- 

K563

C63

3

3

=

 / %3



&3M

H>Q! 3

+:

AE3

-

3 +

@G

2

M

W

Q

A



GD3

3



 

3

-3

=





AE3

H>2GH3

-3 +


V

M

 ' L +

A



 N3



+



=#=

 P3

'3

 

 +%3AG 3

3

A

H>2

3

M



>

A

V

HMG&3

Y

 3

=

 >3

3





=

93

E3-;63

/

M %3

A

3

>

3

 



3

>



Q





+ 

>2

=

-3 +

3

-



3*

 

2

2%3-T3

 V3 F3

E3



H



=

S3

%3

3

3



 

A

H>



=

HN

 -3-





A 3



+





HMFV

H&3

3* M%3-E



 2 A 

 E3-2



43

 '

+E3- HL+>  3

%3

 

2

G4;3











 





- L3



E3

U

:GH/3

  M +

 -

S C

;63



+E

3

H

-3

H --3-



-6H



3



;63 3

3



E3-

>

E3;> 





- 



@;3

3



 :G- 

63- HL3 Q3

G



=

, H

AE3



 



3

2 






C=

93

-2 K

A

, 



-3



 3 C




 

H>2 D3





>

=





3

,3 E3T5

+

2

G1





3*







 +E3

U

>

H M

Q

3



=

3



3

 '-3

>

F

E3-





>

=

%3

93

E3-





R

%3



93

I

6





2  G 

>243-





-

&3 P



>

3

P3







3





+ 

>&3- 

-QV

3 F



G

-6H 

M



3

M



3







6

+ 

C KM







E3



 +E3

?63-Q

6

 63-E3



AGW 



3

T63-!

-3



Q

=

E
D
F
H 110

SKIP GRAPH
LINKS

0

H
A
C

G

7

011

B
C A
E 000

CHORD ROUTING
TABLES

101

3
4
6
6
7
1

5

4
5
7

5
6
0

E
001

RESOURCES

LOGICAL PATH A−E
E−G

A
B
D

111

ACTUAL PATH:
HASH(A)−HASH(E)−HASH(G)
6−5
5−7

NODES
3

D
E
G

C
C
D
F

100

SKIP GRAPH SEARCH
FROM A TO G:

2 H

010

4
B

G
H
B

1 F

2
3
5

7
0
2

6

F
G
A

1
2
4

0
1
3

MEMBERSHIP
VECTORS

¯ ; :2     8] 
 8
!@ 
 ]8  7 Z UV>W ¿ +>à w 


(< % > 
9   > % >  7 = 
:2 P 

5  3 H
  238x  ! 
   
  

6



*



=<





3

>

+- HF;63

H

+

2 

H

 %3

1



-6H

; ' ! +



H

B>



 





=

115-2

=



=

   5 23 
*   
N 5  
  >!7    
w=   8x  
>9
  3 >9 #$ 2  (


 
 7
 1y8] 
 8
u Z U|V>WK ¿(' % *ÃE%} L N2
  
 !
? 3! !  
    * T2 %  P; 
    9 8  
 L >  * 32 
!! ZU?V>W ¿ +mÃ#!@  32 

9   >T™ 
 !     !
 w|=
:2 ; :T2   2  7

  *
= 

> 7
 N   232  42 

8 

7 
  !  32 !65 
 M  2 
 2  F . > 3 2 > c*   8
@ B :2 ;  
9 3  > 
  2 
 2 
w= I
2 5  
  T   7   N238 : 232   
 $ 
   
 MÇ ›O
 * ' ( 3232 2 N 5 
 
 D > !
w 5  
!Z U(V>W > 7 
 Q % s 7 |
    > 7
}J H%! 
2 x{     

  £523   
7
 
9   > I   !


 ¢  7
8

T!.ZUDVWK >! ! ! !    # $ 2  ( *  $ 
3



I

E

QG  P 



>





E3

63-













;



3 

43

H

3



3- H



 -

FG2V3

-3

-

3





A





H -

H

3





3

3-2

;63

&3- VV3

+ 



53

T3

A

3

 >N '



M

+E3- HZ2



? H

+

=





H





+E3- HV3-



2;&3



3- 

 

:G 3

H

 %3

H

%3 +

;

@





+ 

E3

= <'=

3

=



G 3

H

 

=

M3

>





' 

 +

E3%3

3

>



= <'=

H

3

-N

3-

 %3

H -

3

M

3-



V



:GB

+3





3

-H



H&3

+



6





+E3- HF2

AG> 

3

(

=





%3- 

 

 

+



 '

 +

3



3

--E


 

H





6

'

 

+

 

>

G

=







X3

>

+

 -3-

H
3

C

2

 :G





H

3

,3 N%3

3



- 



 '-3

;



C

2%3 +

=



3- HP

H

6



>

=





93

L





&3-K

M

E3-M%3

  A 

3* M

%3

=

 



H M



+E



+

N

 +

H

@5

  A2 

-3- ,3

>

3 +

635

:GB

-

&

-



H





3

A









F

H&3

+

3

G

 w|= 2 9 ( 
 #$ 2 E¢ ( 9 8 p<ZVy’†E !  p $   9   >1*  (
       7
 H    9 w|= 2 9
232 
9   >ž9 8  2328  >!7    
  
 
  #$ 2 ¥  (  : > 
 
#$ 23 
w|= 
 # $ 2 ¢ ( 9   > F  : >  t > !.Q 
(
 ! 
   3 
  2  238x  7 !
 # $ 2 ¢ ( *  < 7
 !  ?    ?   
  28H  9   >™2 9 
  >7!
# $ 2 ¢ 2 39
9   >
(
F  * ZU1V>WK > 7 ! !    ®9 8 {%  ®.! 32 
  
!   
  N
  525

 # $ 2  ( *    w=­2 9
P; z!9  9 8
232 9 w= 2 9 = 7 !}J  1%!    
T2   

!  !  
  x   
     

 5]2  > 32 v8   324 Q   
    T 2 9 9   >    : 
9  ?2 
 >*  9 8    
  
  P?
    
 F 3232
™ ™T2  

8
 x 28 * @ ™  ­23 
 2 

  N2 ;  
3

2 '



+3

:G 3

 

 +







3





A

 



>



3

2





E3-!%3

A



H





-6H


U3

25

-

 A63 G/

3




3



 6

>AG?

B

6

-5

B

=



=


M3 R




B3

93- HG

93-







3



%3

2



 + HG

 

H&3



3

 

H&3

 AG 

+

+

3

C=

43



H



+

H --3

H



 +

L3

%3

+

P3

 











-3

=

3

E3







3-

3

2 



 





+ 



-3-

H

6

3

3

3

3
3





A

 



MP3

AG3

T3 3



 >



C

 ' F C

A



=



H>3

:G

A &3



Q

=

3 +

?3 L+-6HV

K %3

+

+



H



G

A

+

+

3?T%3-

=

 2 A 

  !


3



3



/G 2 

-3AG 

U



 3



SG

=

M



M 

3

3L5

=

+3

6


3

!3

63-

2 ;

H&3

 3  >!!
 
Œ
 2    % 9   >T 
  9 8  
 $ C 9 8 (  
  $ C (
Ä
3232E  2 >:   ;         
  {9 8

   *  ÁC'&    
  
   H2 5 2 
C  @ ¿ #Ã ¿  Ãt   5 238 I :
 P C 5  23238 H  5 23
LÄ C  @ ¿ |Ã ¿  Ã
 }O 32Q*    O˜ 2 v8  
 
 
ÄC 
42 >!28 I  >  5 > >2  
 !  

5

93- HG 



H

;3



  



F   3 

N2 3 8   
  

2 F
F  2  
C y* ¿ |Ã ¿  Ã 

BÄ C  @ ¿ |Ã ¿  Ã
  Ä
I z
 P
= >2 * '
F   3
] <   

 C

 +




=

 '

=

 


M







D

' 

C 



G

D



3T3

3

H



13

=

93





;



H-3-AG 

'L!

A





 +

3%3

H

E3>63

+  263 P3

 @


3

 

 ;

D

3

2

H-3-



+>

 26 43

F  F +

3 E363

 3





 

3





H-3-AG





3

GW3

3- H

E363












3





 -

=

-3 +













H

3

3

M3



6

K

-> 

'3>

3

 3-E3- H

3



F

H&3

+>

3

M3

 C



 H

=





=



3

3 Z

L%3



FE3

N3



=

>63-

-



=

 H *

N  U +

-



+

 >> +

=

3

)N

93-

+E3- H 

563

=

H&3

H&3

6





=

3

E3

E



G

Z



 28 5  2  

 28  E    |
   
  2    Ç  3 * È *
H

H

+

B3

3

 6

+63

 6

+3

>?3

MR

 



93- H

À

=

3

=

=



+>

&

T3

=

> >2
=E8 
9 8
! 9 8
y* ¿ |Ã  8H   ?* 
 * ¿ #Ã  8 
  * 

  ! z5  
m; 5 2
F 
D]2

 2 2
= >T2 * ' ¯ < 232  5 > >2  
 7  

(" #"
(, 0m,'*+ - Q,+' )˜-c/
= >7!z   $a 2   ' ( 
 3 2   >!7
9 3H2  28 
= >!! > 
   : (2 5 2 

 > 3 B!

   
 8
 
 9 9 8 
 } 
 2 !x2 5 2  ”65  ]  9 8  ]
23 L2 5 2 3#   
 @ 42  ! 12 5 2 
    

     
 
 >!7™9 8  ; T  

    À  
   2 > |9 8–2  
>!7M9 8 Q  

&f 'bl>_%k  d
© >!!–%  
 A
* H  5 !"   >  
 >!7  8 2 5 2 7¯
_¨ 4A@3—Z\ ‰ Z!V>X ’† :Z \ k  q]`
jq}`ch    }A  >  

_¨ 4A@3—Z\ ‰ZV>X ’† :Z \ {k  q}`
 _fq–WZ >ZW  h”b
_%¨ 4A R@Z ŠKœ†}ˆÀ S>X  vWZ >Z W 3—Z\ Ž‰ZV>X ’† :Z\ k  q}`
j6q]`tÄ h !"   >  
 >7!  8 T2 5 2 NA  * ¿ |Ã ¿ 2 5 2YÃ
Ä
n”lmq e %
q]fjq2 5 2 Á2 5 2KO '
q]fjq
 _fq–WZ >ZW  h”b
_%¨ 4A R@Z ŠKœ†}ˆÀ S>X  ˜W3Z ZW —Z\ ¾ ‰ZV>X ’† :Z \ k  q]`
j6q]`tÄ h !"   >  
 >7!  8 T2 5 2 NA  * ¿ #Ã ¿ 2 5 2Ã
Ä
n”lmq e %
q]fjq2 5 2 Á2 5 2KO '
_¨ vWZ >ZW k  q]`
jq}`ch   À     A  > ? 

D +







+







-

+

6



+

>

&3

3






















3





A



B



G D3

F



H





!
%

+





E +

;%3

E3

3

 %3



3 P3


=

H 

43- 163

3

&3- A







-

7
8

 G

T3



$

,+ .-/+
3

$

*

,+ 9-,+

2


*!

3

63



G%3- -3

G 



3

%3

G

+ K3



('

-

#"

G%3- -3

0

G 



$

G


T3



6

:'

-;

G%3- -3



G 



$

G


T3



$)
1

('

9"





=< 

 G T3 M%3- +3



'



6

2%3T;63
3

3- 



K%3- -3


6

:%

=

E3R3

C

('

&



V '

3

=

R3




6

5



>2D%3- -3

';63







;



2

4



=



*

1

93

('

&

)

G

%3-AG



#"

3

?

A



3



 



63

  



+63 

%3 C

L

@



6

PP

'2 



+





W

+

H&3



+E3- H

3-E3- H W3



E3





E

%3

=

H&3

+

3

-

 -



MM

H-3

G

D3

%3

H

3

H&3-

 

-3

+ 



-53



3

Dq]džd 
e c‚


‹c†}Z‰ ZVX½’ † S7“Z X½VUaŠaS>RÁŠR V‰!—mŠ “œX V7“† · •#ŠU†¢ R@S[yZ›‰:U˜Vm—Z›‰:Z!š›“Z!’UvZ![
‡xZ›‰7‰Vœ]Z›‰ >V RT[ # $ 2 ¢ ( UaŠ%‡xZ6

23 ¢

#$



(



B§ lmbub¨!©   2 > % 
  35   {   

 9 
 > · 
 .   

? 4!  >!! > D8
* ' 
 
9 3™2
>7!  >  
·  
 ° · · ´ · ¥ Ä Ä Ä ?  7 · ² ° ·  ²
9   >  3232 232 
  ·
·  
 Ç}  
 3  28 >238  9 2
¿ + Ã  28  >7! · I x¢  
  5   
>!7 28 5
3242 #$ 2 E¢ ´ ´ 
 ( 2 5 2 } & ° 
  
 ¹ ´ N ´ ¹ ´  
 > >!! 
  5 
!Á2 5 2 ”  2D #$ 2 E¢ ´ ¹ 
 ´ ´ 
 ( ;}  


 # $ 2 ¢ ´ ¹ 
 ´ ´ 
 (
;}  

=] MP; 
 &  >!7Π  >9 ;}  
 #$ 2 E¢ (

 # $ 2 ¢ (
= E!9N %  L
  
 (  5 23  & ° 
  
 ¹ ´ & 
 >!7
  ]  #*2 5 2   !  
  
 *

 
: 2 5 2 =]
 
 O˜>J
 >!!

     
7  

=  !%  
* % Q : > >2    
  
   

  >2 T% ; N2 (Q 
 (¿ ')' %à I –¢ !  8
9   > >9
#$ 23 ¢
 >7!Π  F РN >  (< 
 >9 #$ 23  (
 
(
 
 | 7
 8
12 L¢ |*28  2 

8 N  3L    *  w|= 
 9   > Q >!7M  
Ç]9   > { * lreT` 'Tq  otq l>_q j ? 37.
9 
 P 
 Œ9 8  C
9 8 Æ C  2 > 9 8 C  2 9 8 ¾ C  9 8 
!5 2 ¿ C  Ã 242(9 8
¿ C  Ã 
 x   N ?     } 
  –]5  : 
 P 
#$ 2 E¢
 2    ' 
 !
 # $ 2 ¢ (
:P 
 232  

(
5 2   : 
 P 
 2   ' MP 

2 2 1 
5 2
$ ? 4! >9
# $ 2 ¢
I   


!5 2 
(

 # $ 2 ¢ (
(
 Π
    8   232   
 $ ? 3! >9 #$ 23 (

 # $ #2 (¢ (
F   
Q   8 Q > >2 t}
{2  E *
(
    3 3232 >9 #$ 2 E¢ (
3

 +

3

G5



3







M5

V 



- H

;





93



3-







53

 



3



H%3





-+E

3

G3

=



E35%3- +3-5E3



MU3

L3



 

+E

+E



93

%3

3

HF

L



 



AG HVN

,

CE3- HU3-

L

93 >





8



3

A

93



 HN3

E

8

E3

8



#"%$





A



=



3 



243



3-



2 -

G4



3







M



-+E

2



AG'3

D3 !>&3-P

3-



3



3

%3







6

CE

+E3



!

&3-

A





F

3-

3

U3

+H E3



+E3- H

%3-



13

3-



3

-+E

3





N A 



;

P
2



+63



3-

=


%





3

3



C=

 

-+E



43



F- 

63

3-

N





-- -

G

G 







AE3- H

 U

T

43

?3

243

43

63-

=

SG



3-2

3

G 



3



3





L



3-



=

2

3-

+E3- H

5

563





H

3

G M ' U +





+ :G 3

3-2





-3 +

' H> 12

G H







 ' F C



%3

D3

 '%3

3-

H F





+>

52F3



U

1G3

3 P3

 + H/G

=

3

H%3

=



13

H

 %3

H

 C





=

-3

"

-3

A%3



H

X63

+E3- H



P

=

=

%3





C=



A

E JG

H

>M

+>

+63 

&3-



G

>



SG 

Q

G 3

@5FF

3 3-

 +

-+E

3



X3

=

,3

>M

=



F

8



#"%$

33 C



H

 '





D2



1G3

3

8



T

3-2





+



=

-3

=

=



33

=







Y%3- +3-

?

3

93

=

AG

6





=

 U3-





AG

+M

-

3

E3 N

AG563

AG



+

G K '

C>





SG3  

<

8

3 

3-

3



-

3 3-

3-2



3

=



E3



#"%$

SG

Q

K2

3

E3V

G 

  M C





E

 JG 









A



H 

AG

(" #"%$

(, ) /0m,+ –- Q,+' )˜-c/
 
 9   Š%RUaX S[>Ÿ’Š%R œ  
 A  D9  3232c 2   
E9  
  
2 x 2 9 
 2
7M2 5 2 3232 DP 
 2
2 
2
  : ?2 5 2 =
 <   –  E
¯
'  
  > >!!% 2( A zP 

 @ B2 5 2

 2 9 
À

%  
  P 
   2  
 
 
  ! 2 5 2      7 
 $  (  $  ' ( °  $ (  $  ' ( °  $  (  $  ' ( 3  8 ; À

 2 9  
¸
¸
¸
25 2 '
¸
  ! ;
 
 A 
   |    $ A ( 5 ¼ ´ 2   ;
    
 
7   $ A (  $  ' ( °  $  (  $  ' ( # 
 2 68 
 
5 23 32
 

> 35 9 H% ¸ L5 23   ¸ y8 5
 28 HP  P;– 
  
5  1 8  
 
 
 

32 
  
 } 
 % 
 ?  
5
2   #%   * *  v8] 3 2 ;   
 E  
232
9   >   °  '  ?   
 z°
 
 > :  
 A:° '
À
Dq]džd 
e c‚€ ‹c†}ZNŠ%R‰ ZXU?S7“ZX VUaŠaSR Š%RÁVH‰!—mŠ “œX V7“† · •#ŠaU†H¢ RTS[yZ‰:U˜V>—Z›‰ Z!š›“Z!’UvZ[ #$ 23 ¢ (
‡xZ›‰7‰Vœ]Z›‰ V>RT[ # $ 2 ¢ ( UaŠ%‡xZ6

















3 





 @5 H
U2 

=

-3?E3;3

3



M

-3-T63-

H-3

3

H

 

=

%3- -3-!F

=







2

3



%3TE3

-3

+E3- H

Q63-

H

3*

3 E35



3-

H -%3-

B3  K%3-E

U3



3-



63 

6

6353

 63-

H

3

K-2 

3 H



CE3

G1

 '53

=



=



3

H

%3>





E3



G

G/ W3

"

GR

"

%3AG 

3

E3

 3 N3

E3

=



A



3





+

%3-2 K

 3



E3





G463 A

 '2 

93

H





Q63-

R U

N

6

  F +

E



+3

3



;3

A



6

=

E3Q

=

;63



CE3



G 

H

=

; 

3





3

3-

H

3-



/K2 

-3



Z

T3

3

3- H



&3- 

 3



P; 

<

%3- 3

C>  63- E

U

 A



-3

 

-3

-3- -3- 

C

+3



+E3- H



CE3- HK2M!+>

H



<'=





B§ lmbub¨!©   2 > % 
  35   {   

 9 
 > · I ¢  
   3232” 5   # $ 2 ¢ ´ ´ 
 ( 2 5 2  9 3  >
° 
  
 ¹ ´ =t|2 9 ”2 5 2
 
 :  c >!!   
* %
&
À
 >9 #$ 23 ¢ ´ ¹ 
 ´ ´ 
 ( ;}  


 #$ 23 ¢ ´ ¹ 
 ´ ´ 
 ( ;}  

! 2 5 2     
3
 5   % %'&  
 # % {P 

À
: E  
  
    $ ( 5 °  $  ( 5 °  $  ( 5    
    
2 5 2  ' = ;]  
 ] D
% 
    232T2 5 2


¸
#
   3 >9 ;}  
 #$ 23 ¢ (
´ ¦ 
  ´ ¹ ´ ¸ ¥  = MP; 
 & 

 # $ 2 ¢ (
I   7
: w= !! (  % 8 


 ¢– !  8
= > 8 >9 #$ 23  (
%   u ;   1(< 
  3! >9 # $ 2 ¥  (
3

 +

63

=



2

=

3

53-

3





GH

8

-+E

63

-3

G

8

3-

+E

3-2



+> H

93

--E

 AE3

93





1

;63





+-E

;63

=

,

3-

G 3

2 

,3





8





+E3- H







#"%$



+



8

+E

#"%$



"

?3

-3

 

+3

+E3- H

3-

 C

93

63

H 

G

>>

,

8

 

 '

AG

G 

"

3

3

H

=



L

=

3-





93-;3 P3

+E3- HVE3?





3-

?>3

>

 %3

-3- H D



<

FG

H%3 

3- H



;T







G B-3

3-



=

E3



93

N

'G

E3

=

T







+

G



8



3

G ;63



>

3

,

8

HM

93

5

;



#"%$

 !

#"%$
#"%$  8





;

E3

G

=



AG3



H%3,3  K

B

3

G 



36
1

3

2

21

33

10

01

LEVEL 2

13

48

00

75

00

21
10

11

11

75

99

11

11

LEVEL 1

LEVEL 0

4

13

33

00

01

99

48
5

00

13

21

33

36

48

75

99

00

10

01

0

00

11

11

48

75

99

10

6
7

11

8
9

21

33

10

01

LEVEL 2

13
00

11

11

21

00

75

99

10

11

11

13

33

00

01

36

LEVEL 1

48
00

LEVEL 0

13

21

33

36

48

75

99

00

10

01 11
14

01

00

11

11

48

75

99

00

11

11

21

75

99

10

11

11

LEVEL 1

LEVEL 0

12

15

13

21

33

36

10

010

20 011

LEVEL 2

21

13
00

13

33

00

36
18

01

48
16
17

19

00

13

21

33

36

48

75

99

00

10

01

01

00

11

11

¯F   

9   >   °  '  >   
 '
> 2 > 2 
 ]8 ]  *;
  
  ?À 3!  8 >
'
 :2  
 
 
 m; { 2 5 2  
  ' 
 >  >!7
    P 

y* <2 5 2
* È N2
 >!!    

')'
 

%
 
 
À  
 & 1 23
 * 12 5 2
'% 'È
:T2


2

*  N2 5 2 À
:T2
 
 
 
 
y* |
 2 5 2 ' 
 
  À 2t
 

' ' + :T2  
 
 
*  2 5 2 '
 * 2 5 2


% 
 2 9   
 {2 5 2 %
&% % ' :2  
 
 
 * ?2 5 2 P 
    * ; À 
  N2
 D  3
6


--E

=
L



<

P<<






2

6

63-R

C> M

&3L

E3

2 '2 K3
+,E3



F<

!<

3



<

3

=

<





C



 '

>


E3

63

--E

E3



63-





;63

!

+>2  63-

K<<
G  2 

 +

RE3

N3
P<
   -3- 



2

+>2  Q3

6







<





&3?


<<
'G

-3- 



43 

+E3- HM3





* *



=





&3T

--E

6

+

"*

 



-+E

P

=
3 E3; >

!

 )
<
3 
Z
A
 
+,E3



G5%3- -3-2 

3



<
&3W3



H


%3

<<

Q<

%3AG



3

6



E3

G

 

3

2

-3-2 P63-

H



<'=


--E





+E3- HG

=

=



--E



6

3



M<
3- >3- 



--E
3 

+M  L63-,
&3Q



43

=
%3- -3- !
 3

G 



H



E3






+3







A
+TE3



+> 2 

+E3- H



63-
=

&f 'bl>_%k  d
*©  <  
 
_¨ vŠ%RUaX S[>Ÿ’›ZX Ÿ Bk  q]`
 y* ¿ (Ã ¿ Ã 
 Ä y* ¿ |Ã ¿ À Ã 
 Ä  C  A 
 À
q]fjq Ä
À
_¨ ˜ŠRUaX S[>Ÿ’7Z X3—Z \ ”3—Z\ k  q}`

 
  ݂ 


q]fjq

  ݂  


jq}`ch   !    
  
 42*   Q &"  !  m; 5 2
jq}`ch !"     9 8 m; 5 2KO '   
  
 42           <  5 

*   5     2 7¯


*   5      ]  ݂ 
   * 7¯
jq}`ch      "  

N  ݂  y*
 42*   Q &"  À    "  
 
  y* 7¯
jq}`ch       

N  ›Ç   * À
 42*   Q   À    
  * 7¯
 y* ¿   Ç 
 Ã ¿ Ã
 y*
À
jq}Ä `ch        À  ›Ç 

   *
 42*   Q      À  
  * 7¯
À
 y* ¿ 
 Ã ¿ Ã
  *
Ä
À
  _fÀ q™UaX7ŸZ{h”b
 $ (5
3% x28N! M 
  2  
'
_%¨   R@¸ ZŠœ>†}ˆ!S>X   ' °   Bk  q]`
j6q]`tÄ h      Â '  $  ( 5 ¹ ´    y* ¿ |Ã ¿  Â ' Ã
? 32@  3 Q      @ Ä  7¯
  * ¿ |Ã ¿  Ã
 @
Ä
q]fjq  y* ¿ |à ¿  Ô° 
_%¨  R@Ä ZŠœ>†}ˆ!S>X    ' °   Bk  q}`
j6q]`tÄ h     Â '  $  ( 5 ¹ ´     * ¿ #Ã ¿  Â ' Ã
? 32@  3 Q      @ Ä  7¯
  * ¿ #Ã ¿  Ã
 *
Ä
q]fjq  y* ¿ (à ¿  Ô° 
_%¨  ÄR@Z ŠKœ†}ˆS>X   L°  e`th  R@ZŠœ>†}ˆ!S>X   L°  k  q}`
Ä
n”lmq Ä e %
 m; 5 2 
Ä
È
2 


















-3

5







6

6

6

!
%



)

"

-

1

3

4
5



-

7

6

6

3

8

$

6



6

 W3 M243



:

T3

$

43-





!

T3

:%

43-

1
$4
$5
87

 
8
(!
 %
8)
 1
84
85
 7
0
 
 
8!
 %
8)
 1
84
85
! 7
!0
! 
! 

3

 



  



+>2 E3

H

 G'>

G G

3

H

$)

3





G



T3





3

3

G 



G



6





6

G'-







:G



6

6

?3

G 

3

-

$

:G



:G







3

6

3

T3



6

G 1G 3

3



G

3

3

43-



G 1G +





T3

M&3





3





H

3

43-



  N

G

G'-



43-

< 

 G 3

=< 



T3





,3

+3

  

T3

=



 

G >

M-



6

6

6

6

&

 

6

+

H



+

H

&3

6



,+ .-,+

2  
 

?63 43-








6

G .T3

3

G

3

G



6

6

@G



6



,+

-/+

2  
 

?63 43-




G

3

6



-



G 1G


6


G

3



6

G

T3



6

@G

6



6



*

>

-

G 1G

,+ .-/+

-





6

,+



-/+

-

*

f&'bl>_%k  d €p©  
 A &
 
 2  
x  5 
 
 
 
* 
 H  5      
  7¯
!
y* $  
  (
* H  5     5 2 
 7¯
_¨ ˜‰7Š [yZ1°  Bk  q}`   ›Ç 
 
q]fjq   Ç 
 
_¨  $ A ( 5 °  Bk  q}`
 $A (5
% N28N! M 
  2 
A y* ¿ (Ã ¿  Ã 
A Ä y* ¿ |Ã ¿  Ã 
_¨  Ä $ A ( 5 ° A 
 k  q]`
!
y* $  
  ' (
¸
q]fjq
_¨ 3A R@ZŠœ>†ˆS>X SU†}ZX 
 Š [yZ  °   k  q}`
jq]`tÄ h    5 2  
 NA  * ¿   › Ç 
 Ã ¿  Ã
Ä
q]fjq
jq]`th        
)>





=

H

 



  



H



G -

  



!

3

%



4
5









$



*!
:%
$)

C

H



G -

-/+

G 1G E JG



3

&f 'bl>_%k  d p©7
_¨ ˜‰7Š [yZ1°  Bk  q]`
q]fjq  : ¾
_¨ 3A R*ZŠœ>†}ˆ!S>X ˜‰7Š [yZ
jq}`cÄ h     
q]fjq
jq}`ch     
A y* ¿ 
 Ã ¿  Ã
Ä

%

1

G LG

6



/+

;-,+

3



3





-

  



H

-

)

G-

R3

6



1G +

6

6

3

G

;

"

-;

$

G 1G +
G G

G

3







-

T3



6

H

2







6

--E

G-





  

G 

= 

  

G '-

;

6

:G

G&+



A

 7¯


H

?3









6

= G

2

%



3- H 



!

-

&f 'bl>_%k  d*©
 2
  

* H  5  

 !  

  *
A y* ¿ 
 Ã ¿  Ã
 y*
Ä* H  5  !    t¯
jq}`ch &" !  yA  C A 
  
* H  5    Ä  "  
  E%
jq}`ch &"     "  yA 
 5  
H



&3

T3



A





H

 * $  
  ( %  
 A
 :
  —Z\ ’‡“ NA —Z\ Bk y *q]`  ¿ à ¿ Ã

 

 
Ä
}A   

 



A

)

+

G

  
 



!



,+







6









G E JG -



6







6

 

8



6



7

--E



6

1

G G

3



)

G

>

G

  






G G-



6

-+E

G



c¯

H

3

 





+ 


3

 

 {
+3





2  (
* 
 :!65 Q  #$ 2 ¢ ( * 
 % 9 3  > ? 
{! 232   M¢ w? 5    ?  :!65
Q2 * D? :2 ;
2  28 1
(  D 2 
 

  22} 2 8 
  :r5
7
  !@238  2 ] Q” !
F  Q –  39  ?
 65  
 2 z    
 ½
% ™2 9
 8 y* 15  P  ½ 3232  15 2   
 1   
 Ç]  y8
 
  65   
  9   >
 
 B 
  
     3232
 
 t   
 % 2 9
   ?2} 

 5  r5  

3-

# $



=



+>

,3

+ W

>





A 63 G&

+

H

53










3

-3- -3-QE3
+





3

3



E3

H2

;  3
3 

;3



H %3-&3

?



-3



H

 93



+W H

=

H





A

H+ P

&3

E3

H2 

3



T3

63-

3

93



=



+>2

  LV3

/3

H%3

W



F





?43-

63-;

-

'!63-T

E3



93

5



 H

=

--E

;



 '





AE3- H



 T

=

+

:G

;

=

JG 3

H433

--E

13

3

2E

2%3- P

('

/+ .-,+

 



H

-

G

=

T63 43-



G

3



$R3

  

G



/+ 9-,+

6



G







-

G

=

2

?63 43-









3



G





$

=

3



G

 



6

G

63-

CE3- H

3

6

3



+>

-

+>

)

+3

 3



)5

 2 F

3



G163

H&3,3

=

3

3*

=

H243

 -3

3

;3

3

-

3

3

H43

@;

63-

 



H P63,TT3- 



E3

3

E3;3



=



-

+, P3

3

5



 +

-

E3



1

3





-

6

 +

4





&3;

2 H



5 ' F +



5

Q

)5

)

43D3-

63-





-



%

E3

 '



+E3- H

63-

!

3

3



3



B3 ,

2

V





(" #"
(,
, ˜, ,ž- Q,+' )˜-t/
= 
 2    |5 8 :T2 I   
 
M2 65  D9 
? 
    

7 2 5 2  

!  |*  x*  '&   
F >   N B2 5 2 
 D9
68 
  M2 5 2 ? 
  2  
    

72 5 2 z 

| 
  1@  ÀH* H¢ & L 
  
F   & !   
   >
242  8z 
   

 2 

 *     
 >   28z2 9 
   
 1
   
 2
2t%! 
 > Q23
% 
 > <  B
 2    H   
 

&f 'bl>_%k  du©
2  ;
 
 


 
 2 ”2 H° !
¨vbTÄ l  3‡NVš WZ >ZW‘‰   htb
_¨  R*ZŠœ>†}ˆ!S>X   °   k  q}` À
jq]Ä `th      
    y* ¿ |Ã ¿  Ã
 32*   Q  "  Ä    D     "   7¯
* H  5     "   7¯
_%¨  R@Z ŠKœ†}ˆSX   °   k  q}`
j6q]Ä `th    "   
     @ ¿ #Ã ¿  Ã
? 32@  3 Q  "     Ä




3

3 C  ,



E

H%3



' HM 

:G/3



 HF3

:G 3

>

6







 E3-





=

-3- A

3 U




-3


 



3-2

63-

+

HU3 K3

H3

B 3

=



=

&f 'bl>_%k  d
T© ?
A&
 
 2 
Q  35 

 


* H  5      
  7¯
_¨ 4A [yZ WZUvZ WKV6œ sUaX›ŸZ k  q}`
_¨ Ä 3A R@ZŠœ>†ˆS>X   °   k  q]`
jq]`tÄ h      
  xA y* ¿ |Ã ¿  Ã
Ä
q]fjq
jq]`th      "    
 
q]fjq
jq}`ch    "   
  NA  * ¿ #Ã ¿  Ã
 42*   Q       "  ÄyC  7¯
A y* ¿ (Ã ¿  Ã C
jq}Ä `ch  "      
 
* H  5     "   
  7¯
_¨ 4A [yZ WZUvZ WKV6œ sUaX›ŸZ k  q}`
_¨ Ä 3A R@ZŠœ>†ˆS>X   °   k  q}`
jq]`tÄ h     "   
  NA  @ ¿ #Ã ¿  Ã
Ä
q]fjq
jq]`th      "     
 
q]fjq
jq}`ch       "  yA   
 
A y* ¿ |Ã ¿  Ã

 
Ä
* H  5     "    
  7¯
_¨ 4A [yZ WZUvZ WKV6œ sUaX›ŸZ k  q}`
_¨ Ä 3A R@ZŠœ>†ˆS>X   °   k  q}`
jq]`tÄ h    "   
  NA  @ ¿ #Ã ¿  Ã
Ä
q]fjq
jq]`th  "      
 
q]fjq
jq}`ch  "      
 
A y* ¿ |Ã ¿  Ã 
Ä
),



H

  












!
%



-

1

G



T3

5



7

43-





  

$)
1

$4
$5
87

8
(
:!
8%
()

 1
(4
(5

3

$



6

G G





T3

M





G

G 



G





6

G

G

G



T3



M

3 N



3

6





G



:



-/+

-



G

=





$

= G



,+

$



  





G LG





















-



 



6



-/+

 

H







,+











$%

G

G





*!

M

 







3

T3



6

H

$

--E

$

$R3

G





8



G





4



?



G

=



)

G





,+ .-,+

 

G





+-E











=

G

G

T3

G 

T3

M



M

$

3







6





6





+ 

 L
 2   
3

3

+E3- H
=

Dq]džd 
e c‚ 

‹c†}Z [yZW3Z UvZ S7“Z X½VUaŠaS>R ŠRžVM‰!—mŠ “œX V7“† · •#ŠaU† ¢iRTS[yZ‰:U˜V>—Z›‰ Z!š›“Z!’UvZ[
‡xZ›‰7‰Vœ]Z›‰ >V RT[ # $ ' ( UaŠ‡xZ

B§ lmbub¨!©   2 > % 
  35   {   

 > · I ¢  
   3232” 5   # $ 2 ¢ ´ ´ 
 ( 2 5 2 
° 
 
¹ ´
!2 5 2      
 H 
 2 
 
3

&
À
    
 F >9
5   # $ 2 ¢ ´ ´ 
 (  2

 # $'(
242  2 5 2 ( x
N > 232 2 =] P; 
 & 
 2 
#$ 23 ¢
(

 # $'(
  
 2    –  
   '& !  | 
   
2 : 
 2 
   ] <
 2 5 2 <!@  2 
#  35  
 < 
 2 

3

 +

63

=





-+E



3

=

3

3

 

3-

3

3-



&3R

F3



3



#"%$

 +

W

+

,3





8



#"%$

H>

3 3- ?

8

  AE3

-+E





3



3

);

--E

E3;3

-

E3



G

H%3

3-

3*

L3

+E3- HP3-



2 5 2 >
  

E35 H

+3- H 

(

 

 C

E3

3

-

3

 '

;63

G&



 9 
9 3  >
: D

  >9

L

P

W;3

=

1G 



 

3

93

=

+E3- H

G3









+E



+E

;
3

 

H 



+



G 3

2 A

+2 P3



3

;

P

3

-+E

3

G

3!3-

=



AG3



 E3R





23 ¢

#$

B

3 P3

 

=

(" #" -p++, /,0>0M-
B' p-p+y) 0
F   
65    B 
 

 2 2   5 Ç ›O
 * È = |
 P  x 9 3  >T HÇ  3 * 525 2 2!    L

!  $ ! · ´
! ” · (  > Q
 x 2  D9    
] Ç}
> 1 8 
 P
1WS’!VWp 
? 3! ! >  
9 3  >
I P 1!65  

! 
9   >T  
 3E 238 3 232   
>
P 
 
 
r5    
>  5 32 
 > 
 

 9   >TÁ 
     

 2   3 ]
3242 
 %DD   7
 :  
   >Tx]8N! !9
   2} 2328 !  
 
z
 

     
  323
;]2 
 Ç  3 * È
s*      
232p*   
 
 
 28 Ov2 9 
 2 <  9 3  > 
     N*  N 32 
  

C– 8  
  9   >u  z% 232p2 5 2   ¯
À
' F ”C  5 °   C  5 ¾ C
% F ”C  5 °   C  5 ÁC
F ”C  5 °   C  5  5 ° C










3 

3



3- H



=

%3

93- H/G1

93



F

=

%3- +3

3

G

3



3

E3-U%3







2

3

A

2



3



3



-3-

 V

=

=

<'=

LG

LG

3



E33



3

63/3

 ?

T

AV
3



G 

V3

  F +

3

3

=

=

+

+

 T

H&3





+?3



E3



-3

@GR3

3



3

E3-

3

93-

F '

D3



3

H%3 +&3-



 





H&3



+3;

H%3 +&3-
'2 



=

+E33


+

 C

 +

 + 

3

5

 + 93

-3-E3

3 V3

3



3

93-2 M

3

 ' F +

H 63



=

H

+3- 

H

-3- 

>

Q;3

 3 '

 +

G 





C63



 

H %3 +&3-

 '

 6

?



 +

=

"



=<

E3W

!U 

G

+3

H %3 +&3-

3

LG

=

93- H

3



93- H

 

3

 -

NE3

T3

3

93

 ?

H %3 +&3-



P>&3-  



+

N2

 2 NF

+E3- HGD3

;

93-

 5

3 E3

-E3-



1 ' K +



+%3



3

 63- H

=



0



=





=

F ”C 5 °   C 5  5 °£C
È F   $ C (  $  ' ( °  $ C 5¬ (  $  ' ( 

   ®  $ C (  $  ' ( °  $ C 5 (  $  ' (
¸
¸
 zC 5 ¼ ´ ¸° C 5¬ 
2 C 5 ¼ ´ ¸ ° 


F   $ C (  $  ' ( °  $ C 5¬ (  $  ' ( 

   ®  $ C (  $  ' ( °  $ C 5 (  $  ' (
¸
¸
 zC 5 ¼ ´ °¸ C 5¬ 
2 C 5 ¼ ´ ¸ ° 


|   
 P 3 z 9 3  > 5 Ç   * 232  2

 T28
2 9 
 2 
· $ ? 37Œ
242tC % ? 3!
H P;–  $ C ( E2   ( > }O
 1 
  (D  ' !  * N28  232  }O 
  

8  
' 
 %     
  ?2} 2328 ! 5 8
 
   2 9 
 2 (D 
 
 ?  (D 

 *    3 2 
 28{2 9 
   28 =
 
   – 
 
P 
 2] 2428 7  
 
   2
9  
 65  
  

 T28yOv2 9 
 !  28 p       2
 2
 

(D 
È 
 
    2

 KJ  2 5 2 >  2 
  7.  
=    $  
   (   
 C D2 5 2  ' 2 8  P  
  #  $ 2  (
2 5 2  ?
  ! z5   !  ¸   ! z5  LC H 

  2
*   
 C ”  
 2 5 2  '     
   
  7  #C xG ·

¸



>








C
·   $ C ( 5 °  $  ( 5 Ç 32 >!28 6C t   





B2 5 2  ' u  2  
   
  7   C G ·
  >  



2  zC ¸ ·   $  ( 5 °  $ C ( 5

P H[yZaZ’6UaŠ Z 9 3  >
7    D
9   > 2


 
  
8  1
 P 3 N 9   >u}% ; :2
8
 ½O˜4O˜ 
 
2
{2 9 ] E
*

LG

=

=



=

3





G







53



 63- H

2%3



-2 



%3-



E3L3

-3

H-63- H



E3

-3




-3B

G H

3

@

&3-

L

U

 3

 H





%3W

A

E3

A









E3

93



3

 '



- 

N3





43



W-E3- 3

52

43-

E3Q

3

93

93

E3




'

>

=

E3L3

%3L

L

2!

E3

3

+6 &3W-



E3

3

3



E3



3

3 L3- +6 &3

93

2



H



=

3

3

+-3R



;3

3 FF

63- H 

3 E3

M 

G 



G 2

3



N?

 63- H

2 ':G

;

+

E3-

%3

93

3

E3T3

1L  K C

E3



H 



93

%3Q

H&3- ?  K +

G63?>

H43-2

&3-

3

=

~{ q]blmq]d p‚  >Z X7\N’7S>RR@Z!’UvZ[’!S‡?“S>R@ZRTUES½1U†}Z [VU˜V:‰›UaX›Ÿ’6UaŸ}X ZBŠ4‰BV{‰7—rŠ “zœX V7“†HŠ LV>R@[xS>RWY\
Š #S>R‰›UaX V>ŠRU‰ '  ™VX Z‰ VUaŠ4‰DZ[y
.'



§Blmbub¨!© I >    5  N
    u¯     
> 
P 
 
   
   N@ L  

!    9   >
D(  
% )*
-3- -3

 H

H 

93

H

;63

H

3

43

+

D3



93- H  D3

E3-V%3



93

À

25 3

H -3 +&3-

N 

 C



=

=

3

=

T ' M +

T 3?+E3- P3

&3-AGM-- 

&3

+

G H3

W3

3-



;3

E3



E3

D 6? R3

>E3

;3



%3-

VE3



H 



2





-E3-2

3

/3

3 E3;3

E3D3

 

G/

=<





3

3

/

+

M

/3

93- H

E3 



L2

 3



H

=

Q3



353 

-







-

E3



=

H%3 +&3-



G



!

+ 

93 G

-3?2





<



 

H -3 +&3-



2

H



3

H -3 +&3-

H %3 C43-L3

&3-

RN ' U +

=

"

=

H&3- 



GH

G

H%3 +&3-

=

F3



2

=

G

=

=

3

3

2

=

#"

 3

-E3-

G 3



H -3 +&3- 'G



G


 > !
  (D 





>

3- H 

'

H%3 +&3-

'

Q D(  

 È

>E


G

H -3 +&3-



<

G


 È    5 28


<



93-

3242T 28  
 Q5 2 mO

G 

;

H

5









=


 !"




H +

5

6


&!'


7

,

4

5

6


&!


 !$#%

4









5

6


 !)(+*

M4<H:L!4L' 5 ')2 38 4<'N 3   O
 O
 + M4<H:L*4<' 5 H'(2 38 4<'N.-/
310 32
 6 * = È ¯ 22E3-Hz (DH %3 +243- '  
U<'=


 

6

'

È  # (< 
ŒŸ}R‰S>XUvZ[1|ŠRT’7S>R‰7Š%‰›UvZ RUaWY\|2 9 
 2
=  > D 8 ? 37 (D 


  : 5 2 
 
 7N5 2  2 
   
<2 5 2    L

!   9   >
È  – 5 2 

  C 
  C 5 ¼ ´ ° C 5¬  43   ®  $ C (  $  ' ( °  $ C 5 (  $  ' (
° C 5 
 {° C 5¬  2 9 
 2   
 ?¸ 2 5 2   £®65  ¸  $7

$8
9 ?> @ >= *C 
· ° IC 
 :9<C ;  9  ¸ ' ;°  =4=
 ° C 5 C

7 G
2 5 2  ' D
· Ç  $8  °  C 5 ¼ ´ A= @ CG B · "D @ A= 2 9 72
¸ 8 ?P 9 ?>
@ 7
C   F FE D A=G8
A=
@ AH$I
J7
K@LH8 AH @
M7
D
ON



*



=

@5

@

2



'

3* >? 52V

5 H

=

-3



@C >=

%

E3-%3



E3

93

A

3

D

@5

D



=

/=

%32

-3

E3

G "



Q3

AGB3



63- 

2

-3

E3-U%3



G 

"

N 

 +

G

E3

93

2Q

Q

93-

3

 

=

C

D

>$@


ISI3A=

8

ISI[I P

IH + 

D

3

C=

3

3



  3T  M C

=




=

E3- H

"

2

G

"



¬
 GC 5 ¼ ´ °  C  5 =
Q :9CR;  9
 9C 5 ¼ ´ ;  9  ' ;CG :9CR;   ° :9C 5 ¼ ´ ;  E= F 3 N D
 ¸ ' ;L° :
¸
¬
E 3A=ŒC $7ŒC
 @

TH 3 3A=   C
 C
´
D
· 
 5=
5¼
5 ¼ ´ °s
N
5 N D @QVUΨ G/ D
· 
 5 ,>-+  G $7V3A= 7E3->%3K@LH$893AH$@ ,W7 ON 893-?P 9'?>F@C >= =


=



"

R

=

3

=



=



;3

=

E3

3

A

3

"



G

G

+

A

><

H %3 +243







2%3 E3





3

I

H %3 +&3-

$7

P
D

3A= E3

 %3K@+243-

&3-;4>

(
D

@;3A=

 @

P
-E3-2

 -3K@+&3-
?@

`E

@LU:8

P

'

7

D

7X8

I P$@

D

Y>

+-3%>$@

=

3A= @

893

 

D

P
D

H !=^] G $7

@+A= ?>JP

893
D

D



&3
3A= E3

3A=

\>$@

+(

@+aH -2 



D N

'

D

= /P


D

Z7 E3-

P

3A= E3

 %3K@+243-

È

9
[7 H EI?U 1O I 9
D

%3K@LH$893AH @


D

@-3



7G





 ?>



8L=_I%348
7

ISI 5
  3A= E3
D

=

D

&3- ;3A=

7 



@C >=




7\I%3-E3
8
D

@L@

893

N

?C

3 \E

U @AE63K@+ @LU

I

43

3A=

7 E3->%3K@H$893AH @

· 
5

3

E

m;

3A=



M MI/

H

$8

ªC 5 C C 5¬ %= @  ®  LH$8L= A= D I
A=
 H $8
D N
Ä
Ä
Ä
Ä
Ä
Ä
À
Q 8O8 @L7
 I
A=
A= 
A=  
@ 7
$7X7 H EI?U O1I 9 7:H
$7$H$8
  H $8
D
D
D
D
D
'
( D K@
pC  5 ¾ C 7 8O8 D @L7 D ( D K@
cC 5  5 ° C =4= H A=  H $8
D
C C 5 D @ 7 $7 7 D H EI?Uy1O I 9 7 Ç SI @LI?U 8O8 D @7 D ( D K@ % <C 5 C $7
8O 8 @L7
( D K@
] D
C  5  5 ° C =4= H A=  H $8 C 5 C D @ 7 $7 7 D H EISUyO
D
D
¹
I 9 7
A=
C C 5¬6¹ ´ E D @ 7 !7 D H E I?U O1I 9 7 I Q 8O8 D @L7
 H $8 C  5 ´
¬ ¾  Ä C Ä  Ä  ¬r¹  ´ Ä Ä Ä $7 C ¬r¹ ´   ° C ¬r¹ ´ Ç SI @LI?U 8O8 @L7
'
(
K@
$7
c
C


D
D
D
D
5 ¹ 5
5 5 5 ¹ 5
¹


´

´

´
8
K@
% $7_] uC  5 C  5 7™C  5  5  5 °sC 5 =4= H A= m; I  H $8
D
¬
· 
 5 ° C  5 Ä Ä Ä C Ä Ä Ä C  5 D @ 7 $7^7 D H EI?U O1I 9 7
I D  A=  D  A=  N D D 7 @ 8 D 8 7 I P I  A= U @ I D 8 D 8 7
I P I
Ç H >$> D A= ( D K@
>$@ P
A=
@ 8=FI P I

È $7 = D IS7 4= =
D
ND

C 5 ° À C   7 C  5 ° C   ( I @LI?U A= K@H ^N D @  ° 7  ° ' Ç H >> D A= À
À '
²
'
K@LH
@WI P I
Â
:
C
°
7 I
8L= 
C

°
¹
JN D


5 ´  ² Æ ¶ Æ ®  D @ 8L= ¶
 Ç ´ °  ¹ ´ °  
 º °   ¼  º $7
D 
 ² °  ²¹ ´  5¹ ´ °  ²¹ ´ 
 5

 ¥ °  ´ 5¹ ´ °  ´

= = H  ¬L°    ¼  º ¼  » ¼  ¼  7 °    = @ {°   ´
4
¬ TH  ¬1° C  5¬ ¹ ´
DWD
¸ È (C ¸ Ä Ä ° Ä ¸ C  ¬ ¹ 4= = H
 Q 8O8 @L7
$7
( D K@
D
D
5
 ° C Ç D C  5 ¹ ´ ° C 
5 ´


C 5 ° C  Q SI @ >$@ D D N ISI A= D A= C  5 ° C 
I H A= >@ D)D N E D P D A= D A= VU D 8 D 8 7 D 7 @ 8 D 8 7 A=
Q
I
aI P I
( D S7 @ W> A=–C ´ ¥ ?¬  = @ 8L= ²
A= @   @ 
D
5
5
ÄÄÄ
À ;
>$@ P 7
E P
A= @
> A=NC
´  º ¥  » Ä Ä Ä ¬  7  = @ 8L= ² A= @  D @  4= = H
D
D
Q I
ISI
A= QC
$7
A=
I
I P I
° · N C $7  @ A=
DN· 

ND D
 @
À
8
8
7G8 Y>
ÇD
!I I
ISI A=
D
D
D
·  I P I À = 8L=_8 D
D N
I
A=
8
8
7\8 Y>
A=
7
K@LH$8 AH @
D
D
D
D N
Q
>$@ P 7
E P
D
D
·  I D D @ 7 $7 7 D H EISUy1O I  7 I A= A= !I I ·  %I P I À
8O8 @L7
( D K@
È $7 8L= D 7 C G ·  I  7 D T@ != $7 I ON 4I P I '
D
D
A=
@
7
 $7 _@ A> 8 SP I?UG9 N A= U  ; AH$8L= A= :9<C ;  ' ° :9 );  ' °
D
D
:9 <;  ' $7  C  4= = H

  
I  7 I
%I P I '
·  °   
 :9  ; °  D

@ 8=
G  F

@ I
TI P I
8
H >

  
 5 I D %N D @ 8L= 
G  5 
 8=
D
ND

Q
I a8
ISI A=
7
= S8L=Z= P
A=
A8L=
E @ L= ?>ZP 8
@ >$@ P
>$@ P 7
D
D
D
D

3A=

D N

@+

ND

GB



=

3



3

E33

 -3 +&3
2>



3



33



 %3 C43-

G

G



E3>

3

-3

3*

E3



 



3

3

-M 

G&3

5?3

E3

 

93

-

;





3





M 

G 

GR3

>



3



%3



=




M

"

B3





2 F3


 

 

E3

93

ZE3





=

3



=



=

 

3*




+

 



-3

93





93-

AG 



&3

3

>E3

)%












=



3

2 F









V3

 --3-



B3

=

K3

3- +6 &3

2%3

E3

3E3

E3

G

2%3-AG
+



=

- 

-3-E3

V3

3

=

X63 V3

3

Z

63

G

93

93

63






%3 CG 

3

 



G  

AV

Z



E3-M%3

2

3

;

2



3

!

=

E3

3



G





2%3

U

'G

3

G

!

=

3QF-2 







%3?E3



G

=



C JG E3


 %3 +&3

E3P






=

3

E3

G

G

E3

93

N

"

 

=

> 

G

E3

=

2, 

 %3 C43-



&3- 

&3

3

3

V3

G

G 

-3

E3

-

U



%3-R



2 P3

3

5







 -



&3-;2V3



3

=

K

63

 

;



%3E3

1G,

G

=

3





%3

G 

=



"



3

 

=



3

KM3



=

-

/G

G 

=

AG



-3

E3

=



+3



=

93





=

=

=

P

=

P

%3 +&3-

63PL3









3

'G





93-

 %3 +243

=









3





=

G1

"

3



=

L3

3

2

G

<

G

<

G



43

-2 

 

G



N



GD

=





 -3 +&3



%3 +&3-

E3



M 

=

3



 V3

2

 %3 C43

-3





=

GR



1G/

3

=

P

G

-3

2 



D N



G





93

=

=



R



G

 E

P
D

8L=
G

P

3A=

D N

ISI 3A=

-E3-

8

I-3-MKI




D

@-3
D

7X$7"7

 %3K@+&3-AG 632P ?>F@+ >=

D

O

H EI?U 1I
D

7

==)H
=

:G?

3A=

N

7 E3-

%3K@LH893AH @

=


7R‰ZXUaŠ%R œVR@Z•.RTS[yZ Š RHVB‰!—mŠ “xœX V7“† · Ÿ]‰7ŠR œ|W œ S>X›ŠU†y‡LœŠ Z›‰V1‰7—rŠ “NœX½V›“†]
§Blmbub¨!© F @
7
 · 8D
¯ @  6I P I H
D
D N
D
@L8=
> @
$7
@
 ZI P I  ¾ H
A=
!=)E @
 I P IÀ  Â '
D
D
D
D N
I 8 D S7 @ A= 8 %= @ A= K@ D 7$H$8 D 7 À & U %I A= '& U A= D A= @ 8
' 7 È @
Q I
SI @
A=
7
SI = @
$I?UY>$@ P
A= D(
K@
D
D
D
D
D
D
D
' 7 È @ K> 8 ?P I?U
P 7 ( D K@ % ] $7 @ ?@A@ D @
( D K@
D N
=4= @L8L= D > @ D @ 7FE U "9 I ' ] D N Q I D @ A= %!;%@ AH$@ A= I @
7
D
Dq]džd 
e c‚


'



V



+E3-

 -

-E3-



Q I6



!;

@

63

(


U

 @

°




9 I2

@
N D

E



7

3A=

-+E



@

 E





D



=



°

°

@+3

 
D N

+(

-E3- U 

3

3

@C>

7 




>-

7

@




3A=

KAH$8O8

D

"

-

3

%





 -3K@+&3-

$7

L3A=



77 63-

N



7
D

T=

 @









9 I2

 E

$8

"

7

3

G



3-



D

D N



@@G

'

;=

--E

3

Q I6
D



;3A=

-W>I?UK

6!=VE

D

 


3-



U


D

@+M E3

%

@C63A=

D N

3

@L3A= 

E3

7
D



$7


@

63Q2Q@

N

--E



° 
9 I2

>

7

%





 

Q I6
3-

D

@+63A=

 °

]);CG





9 I2




<'=


<

Q I6

@ 3A= 

(









D

"

° 
@



D

'

N

D N

Q I6
D

(

@C63A=

!;CG

&3

@+

>MH $8L= 

7

HG 

>
D

%

7

Ç

D

À@

]);CG





3-

D

3-

3A=

D

@ >+
D



   





°


 

 %3K@+&3

%

KO

Q I

D N

MSI 3
=

Q  P
 
=

%

43AHISI?UU63%@



7

-E3- U 


P

&3AH ISI?U

>&3-  

Q !3A=
=

1G

D N



%

P

Q 
=

@

@+3A=
D

]);

=

1G

F$7


D

D N

3A=

'
!;

Q I6

@+63A=
D



@+3A=

D N

 -3K@+&3

% %
D



3

D N




A

@+63A=
D

@

9 I

D

3A= E3

° 

!;CG >&3-  



Q I6

D N
9 I

D N

M<

$7

]

3 

D N

%'

\9 I2

G

Q I

@PEISH

&3

D



:9 I2

E

LLH 63- EI

D N



-3Q

-+E

D N
<

HGT- U

D N

"

E3



@
D

9 I2

;@

D

°  ¾

@-3

2 

A

93-

 -

3




3



°  ¾

%

<



<

+-E



G

+ 3

R @

$7



N3A=

P

-E3-

)

UK2 I -R3A=V3A= E3


D

E3

  3

53A=

F

<'=

7
D

- 

%3 +&3-

@ P

 I

D




 %3K@C43



3

63A=



+

  3

@+M E3

3

6

+63

> -


-3-2 

 %3 C43-

 D @  °

"

<

-53

6¯


63-I,@+6!=&3

3A=
G

9 I


D

@:G'
(

D

U

8O8OH @
D

+-E

   


 
D

7N3

 
°
-E3- U 1(
D
N

'



]);CG3A=

3A=

3-

-+E

¾  9I
° 

@

8A
=



7 


 

- M3







3 E3

,>E

;CGT$7

'

%3-E

=





3-





'

>-

 -3K@+&3-

D

7
D

$ISU

D

7

8

N

D

2








 

I

--E

@







G&



@+3A=
D

$I?U

D

2

M

 -3K@+&3

D

%=

   3

3A=

D

7

(

!; $7

 @LI @

D



D

$7



--E

 

@

@

%

@+63A=
D

(

Q I6

D N

)

ISI ;
  M3*
D
D

YN D

L<

D

Q I
=

7

ON D

D



D

D

8L=  



'

 -3K@+&3

 


D


"

8=

D

3A=

D N

L

@+63A=
D

A >

=

%3- -3

Q I6

D N



   
 M

3A=

3- 



3*



&3



]);CGM43-2  

4G 7



(
=



 --3-



3

CE3-

'

9 I

%

@+63A=
D

-3- 



>63 3



@+63A=
D

U

 %3 C43- 'G >



I -L3A= 

 

A

V

Y

G

3

 -> 2 R

Q I6

-3- P




<'=

8L=



° 
F






¾ 

"

3A=

!;CG 3A= H ;3K@C?P'2ISI?U

=

=

 G9   À ;CG 3 D P$7 63- 6!=)E D @C;E3 I P I  ¸ ' =  D 7
  7 K    
  --E 3 D  5 ¾  9 I2 < % D N Q I6 D @+3A= %!;CG$7X3A= 2K +-E 
>- 7F3 3A=
@C6!=43,3
AH$8O8 --SP
 7  
  5¬ ¾ GT® ' GH43-SI3 @ 8L= 5> D 7  AH$8L= 3A= E3
D
D
D
:9 <;  9  ' ;#° :9  ;  9  ' ;CG4$7> 3-   5 ¼ ´ °  ¾ \9 I2 ,< ] D N Q I D @+63A= %!;CG4-E3- N U 
( D  -3K@+&¸ 3 ' = Q 3A= 5 -¸ -E  D $I?U  &33 D 3A= @+!=43AG F
 8A D I?U^8 D   893 D  63-@C6!=4353 D
Q 
 7 D@ E3 @ 3A= K63- I
 G'-E3- N U  ( D  -3K@+&3 <'=
D
N =
  3-   5 ¼ ´ ° 
 G   5 ¼ ´  5 ¼ ´ ° 1
ÇMSI @LI?UG  I D  $7 5    
 F --E 53 D 63-%I ON 3;3 D   5  9 I L<  D N Q I6 D @+63A= %!; 
T3A= T
--E

$I?U> &3?3
 7  I - 3A= E3 1
 G63  AH @ R3A= E3  5 ¼ ´ °  ¾ HG-E3- N U 
D
D
D
( D  -3K@+&3 ' = Q    3-   5 ¼ ´ ° 4G  5 ¼ ´  5 ¼ ´ ° -E3- N U +( D  %3K@C43 <'=
Q  
$ISU  H @+ 3A=
 7   2 3A=
-
I2%3LM63- I E36I P I GT63P
 AH$@ 7 3A= E3
D
D
N

:9 < ;   ° :
 9 );  E = $ H @-3A= @@G&  A 3A= E3  D $I?UWI'W3 D L D 7 AH$8L=K3A= E3:
 9 < ; 5 ° :
 9 ); 5
' D N Q I6 D @+63A= < ; = =4=)H  8A D $I?U I!3 D LE3,I P I.9  ' ;W N : 9 < ;  9  ' ;(° : 9 ); 
9 I
À
¸
¸
9
 ¸ ' ; = w P > A U3A= E3  D $I?U6I2 3 D  D 7 ,;63A=V3A= 8 D @A@ 893; `E @+A= S> P 893 D @a>$@ P  G
63
I?UJ@ > ;3
A=  3A= E3F
 I'?3 D 3A=   @ %3LH$8L=  D 7 ;E3 8=_I P I  ¾ = I  A
D
D
D
À
3A= E3  %3- @-3-TI
 
@,63?AH$8O8 - @,E3 I P I
D D
D
ND
 ¸ ' N @ D   5 9 I2 < ' D N Q I6 D @+3A= #%!; =  D 7
 5  63A= @ 3A= LH$8O8 - D @ N D @! D 7  E3 I P I  ' 9 I ' D N Q I6 D @+3A= < ;CG D @!63 >+ 
' ] D N Q I6 D @+3A= ¸ < ; = Q  À 3A=   @8L= N D @  5 ¼ ´ >$@ D 8 A 7 
3A=
--E
3
63-LAH$8O8 - @ 9 I2
D
D

 7
E3!V3-
I  
D
D
D
· 
 5 
 G13Q!H  @+&3 A 7 3 D P7 3A= R@¬ ZV>XZ›‰UR D 7 @ E3 @ 3A= 
1G1= D 
`E @+A= ?>ZP 893 @ ME3A8L= :
 9 < ; 5 = ==)H   5 ¼ ´ °   5 G N D @ 3A= ->I I %3B® ¾ G
D
À
-E3- U +(
 -3K@+&3 È
D
N
=


FH

7

D





6!=)E

63-

@+;E3 I P

D

I












"






"
















I

E



3*

I P


D



A

I

À

D

;



$7

IS7N

7
D

63-



@T3A=
D

D

3A=E3L563A=X8
3

@

8

3A=

 ?>

6!=)E

@^9 I

]

"I2
8
D

$8OH @L@

=4= H

D

3

D

3A=

?=


?P

3

D

@A@

Q I6



--E

+9

893M

D

D

7

!=VE


7

PE3

D

@7
]);

@

D

8OH @A@

=

?3

3A=

@-5

(

&3 

I P

I


=

D

I23

ÇD

À

7

3A=

D

=

7

@3A=


 @L8L=



8L=

8A

G 

F

P

@+

--E

3-SI? E

D

 %3K@C43-M @

P

3

G?$7

E3>

>
D


R3A= E3 >

!3A=

X7

8

;

3WI2


63A=

G'3P

D

G63+>-

>I2

>/U

H - 

@,3A= 

E3

+-E

=4=

8L=

H $7

ND

IT@



=

 ?>F@+ >=

8

@+AG
D

@ I P

ND

 3P

@+63A=
D

@-3-,2V3A=
ISI 3A=

7



@+3-AGD7$7 63-  I  7
D
D

&3P 

@+>2

 

,

@C >=

D N
8

435 

7

  
M

>&3-


>@

$8OH @A@

D

D

D

I P
D

@+E3- 
D
A

3-! >$>$@
 AH$@

>&3-

7

P

D

>

@+E3-   @
D


]

8
D

W>I 3

7G 




F;SISI
D
D

>$@+E3
L3A= E3
Z;63A=

=

@+3

@

ND

3A= E3T=

&3- Q3

63

9

I

35M 'S>F@+ >=
=


ZW3Z UaŠR œ RTS[yZ›X S>‡ Vx‰7—rŠ “–œX½V›“† · Ÿ ‰›Š%R]œ LW œ S>X7ŠaU†y‡{œŠ >Z›‰Vx‰!—mŠ “–œX V7“†}

Dq]džd 
e c‚

'

§Blmbub¨!©
P

$7 KF

I

@

63



7

8=

!

8

I

3R3

D
@

8

ON


"

P

7

 @

7

I

I 3

D



3A=

+(



 @

3

D


FN
 @

D

7
3

7

F

3A=

I



3-


I

D



3E

D

H
=

@-3A=

È

%3

°




'



P



9 I2


7FE
D

3



D N

D

%

8=

D N

7
ON D

@



Q I6



D

D



 

$7

5

]



%

E

E



   " 


Q %I  M53A= 
D
=

;CG&63B2>+

3*

@+A=?>^P

893

;

@+63A=
D

À

Q I6

D N
<

>

G1$7

P





D

@C63A=
D



I
E

D

D

=

] @

;

7

E8

7

5SISI.E

@+ 3
D

,

Q I6

3A=


A

8L=
--E

'

;CG

 

 %3K@+243-

D

@+63A=
D

;CG.H &3-SI

:9 );   ° :9

D

3A=

D

Q TI  
D
=

  " 




"

3

@C63A=
D

@+3A=

À^9 I D N

4G

G1

7
D

>E3A8L= K

°




Q I6

;CGH &3-SI3@

$7

7
D

!;

D N



D

  

'

%

;

Q I6

@C63A=
D






I

$7 

@+3A=
D

@+63A=

Q I6

D N



D N
<

D

7"9 I2

5 5 ° -(

 


Q !ISI3A=
=



3-

I2%3E3`I P

'

(

Q I6

D N
D

3A= E3524E

D

$7 R

9 I

;CG P




I%3Q



N

     " 

3 H 43- I&63 @

AH63- EI
+E3-

@+6!=&3

$7  

ON

5

3A=

D

'

Q I6

D N



'

9 I2

Q I

D N

Q I6

D N

$7 2 MF

¯
I

=

]

I 3

8L=FI P

E3

;CG

I

D

3A=

U

&3AH ISI?U



7UE3 I P

I

 J7

I 3

$7 

9 I

À

G

=

G9 I
D

7
D

7

'È

9 I2

Ä Ä Ä

5 5 °

9 I



I 3

 %3K@+243

D

-

 Â

=

@



P



3A=

 ^7

@ 9 I2
D

 %7

@+63A=
D

%3-AG13A=



  " 
 F3

(

5;63A=


7

3A=

I

7
D

$7

7
D



  


2

E

N

5

I 3



!=VE

 

@:G 

I2%3 E3+I P



7

Q I6

D N

M @

 @

5¥



 

9 I

 -3K@+&3-

D



7
D

I

E

N

3A=



D

 5

@
D

,3

%3-E

D



E

3;

ON

3A= E3W63-

N

7



I


-

7G/7

7
D

3*

D N

 5¥  5 9 I
Ä Ä Ä7 
 7 I 3 7

D
=

7
D

3

D



I

-%3-

D

I 3

D

2!63-





3 

63-?AH8O8

+-?P

8

 J7


3A= E3

2

;CG3A= H 3K@+?PISI?UV-E3- U 

I%35
D

7

E
3

D

D

7
D

4G +E3- U' 

%

-

  
 



63-

D

3

AH$8O8

D



·

@C >=

IM3A=
D



@+>2

¾





%= S8L=

-+E

LH 63- EI

D

@+63A=

°






7

U

-E3- U 

FN

5

3

--E

E)U

--SP

 %3K@+&3

D

7/G 3A=
N



3A= ?

/(

=

D

3

AH$8O8

7

¾ 


N ?>

3A= E3Q

I 3

7

7 E)U 

D



D N

@+!=43 3

7
D

?P

3-

-E3- U 

N

?P

!=S8L=>2R

D N

-E3-

3

@
N D

 =K

8

7
D

"



?>3

 Y7

3A=

D

5

@

N$7

3

 

-+E

7
D

34E

@



D

3A=

3

D

3

D

@+!=43

 


7

D

3A=

2



D

-+E

K3

D

D

+-E

>+



D

$7 T


3A= Q

63

3

E3;2,

D N



7
D

U3A=
 D7 
3

ON

I 3- VK


@+63A=
D

 W7

;3A= E3D2B
!;CG





D

D

$8

D

3

3A=

;

%

I


=

D

ON

7G 

 5
D

3 E

ND

3

F


=

@+M





9 I2

 a7

I 3

Q @

3-

FN





3A=E3

Q I6

7J9 I2




°



%

]

D N

Q I6

(
D

ISIJG$7

Q I6

D N

!;

D

'

7G1

Q I6

D N

 
7

D



@C63A=
D

N

E3



9 I

-E3- U'2 

>7

5

E

AH 3- EI

D

D N
D N

EHK3K@+?PISI?U

I\8L=  

F3A=E3Q

D N

7

'G<]N7

I 3

-+E

@+3A=

%3-AG13A=

D

 %3K@+243-



7

7
D

D

2%3-AG 3A=

@+63A=
D

;

%= S8L=K >+
=

@+63A=

;

'

 %3K@C43-
ISI3A=

8

O



G

=
<

D

7

7

=

7

È

D

%3K@+&3-

=

=

3A= E3Q;63A=_8

D

$8OH$@A@

&3+7

I 3

AG177 63-



È

D

 I

D

7


>/U


3`7

I 3

7

E3Q

D

I P

I

E

3*




A

-+E

%N D

3A=

$7

63-



@ 3A=

7

I 3

--E
63A=



D



3

@;-S7

=4= H

@+ >=



D

AG?

&3K@

D

'
(

IDKU%3

FG

@ 8A
D


@

P' 7

3A=

H 

@T8A

3A=

7 E3



D

 ,AH8L=

D

Bq]lrj6_b@`t_a`
>$@

8

@5
D





P

@C

2 Y7
4367

3A= E3=

A



 3A= E3 63TR

>I



3E

D

$8OH @L@

D

7UM7

I 3

>
D

 

P
D

=

8=

D

6!=VE


D

3E

D

3-SIB E

7^I2>3

I 3



7

==

3A=

D

@+E3- 
 W=  P
D

E

I 3

I

7

D

FN

N =

@


AH @

53A= E3

Y>I 3

7G 

8

?P




G63>+

D

$I?U

D





7
D



=

8


A

7K3-



@

@+2 P
D

D



 ?>

3N

      !



 >$>I2S8AE3-

H 

@

!     )


Q ; ?>F@+ >=47

D

I
=

=




8

!=VE

@KISI,3A=
3

@+
D

@+E3- 
 G'63P
D

U3A=E3;

D N
N

>
D

3-5

D

6!=)E

%3-2 M

H

 P

@

ND



@L7

@+ 

@C-   7^H 
D

@ 1I P

@

43

@+`HIE3

8





H

U

7 SI?UU

 @-3-S8OI 

;
 E

8

7V3-2
N

@C

>I



!A=

5

D

3A= E3AG3A=

D N

+Y>I

DP

P

-SI?UJH 

7V3

7JE

AH >$>

D

KU%3

 @L8L=


IE3

B!H



@

%3, @-3-S8OI

E

ON D

@-3

=

7$763-




@

=4=

=

WI -AISU

F

=

@++ 
D

] 

8AK

8L= -

D

I 
D
=

7\H - KM ?>U@C >=U5WP

43

@+ ?AH8L=V $7  Q3A=
8A

8A^E

>I 8AE3- V
 = S8=F @
D

G H -2 F3A=

@ $7  LISI1 @-3-S8OI ,563A= N>K>
D

IR@

+SI?UFY>I



 PESI EI

W>I

U'AG3A=

@C- M
 7MP3A=
D

>)U
D

3A=

D N

O

F%= S8L=

D

%3,P

8
D

D

G1M43-2  

I2E3

8

%3

UV3A=
D

Y>I

@T3A=

ND

D

?P

%3K@

 >$>IS8AE3-


-3

ND

37

D

D

G

> @+3-S8OH$I @


=

LEVEL 0


   


 

]¯

6!H

@ ] 
-2 !! '?>M@+ 
> =
=

;5 @-3-S8OI G
@
Y>I G  
 



3A=



@

3A=




ND

H

%3$7N3A=
3



-34@

D

8

@

@

ON D

&3; @-3-S8OI

@+ @AUZ>
D

A=

D N

8 @

7$H @C F3A=

D

'

¯

À À




=

D

G13A=

@A@
D

D

P



@

@+-   ! >>IS8AE3- 
4=
H  @ 8A6I
@ 3A=
D
D =
D D
ND
@ !  M23A=
7 E3
 3A=
D
%3T@ 8 &37 E3 ; Q ?3A= E3, 3T>$@  43AG 3A=
A U'%3
D
D
=

D N

7"!  

H @L8

@+=

@+-3 E3%3-8 P
 H `E

D



8AH

 @L8=

ÇQ

N


ND

@

@-H

Ç






3

D

= $7$I



%3

­P

D N

$7 

CG =

;P-63

>LH$8L=Z

`E

@

ÀÀ

D



3A=

%3+P

Vm‰!† ’ X S>•[m‰

@K

ND

H

&%

@

> 3

*(   ,

7

@AUFI @-

>$7

D

I2E3
7  U

=

D

!\P

I>2 G7
3A=


   

=

@T+P

?>F@+ >=48A^E

^@

D N

7 >2$8OISH$7
3

=

>H$I @C631U


      

   ^9 %=

7E3

zjq]l$7fq Tq}f<lrqf_&ekr_bT` Ç
Y>

ND

2 3A=

#
3

  

')' % '



G

 @L8=

IH
D

=

 H



=

8


( 

3 




A

D)D


!I

43



$7



¯%
¿ ] mÃ


@

3A=

Y>I 



΂  (


=

 R P

=

$7

@+E

7

 >$>$@


;U,3A=

D

I

D



@+I 8
D

8L=

3

LA=

KJ

H 



@

&3%@

3A=

3A=

D

@


ISI PE3
3A=


8

@

$7

I 
 7
D
D

I?U>3A= E3;3A=




=

J
F

893-?P

D

-

@
D

3A=


I I P'2E3


AG

>

ND

3AG 3A=

@




@ @

@


3A=



,3A=

I 
 7
D



D

P



D

@+I1%3

I

2

@C 
D

=


3*

@

P' 7
D

3A=

=

>
D

>H$I2 @LI?U
D

3A=

D N



3A=

=4=

=

    

G

@

ND

3K>

D

>

>H$I @
D

%3-;3A=

D

3

@

@

KJ

7 
D

@

%3- @-3-AG 7 

>E

D

H @L8

8A

L3A=

7$7 @

-

3A=

@3A= E3;893AHISI?UJ=

A

E

D




D

I?P
D

X@




N

>IS8AAG

@LI 
 7 2 
D
@

63A=

=4= P$@

@

>IS8A
ND

@,@

@+H IR@

%3-,3A=

@




H @L8
D

H @L8
D

D

VU

N

SIJG

>IS8A

+%3L >$>$@

=

mO

-3-!; ISI



N



>

@

H

P
D

H$@L8
D

,V3A=

3A=



@

>


 F3A=

D

D N

3

D

7





>E

8A



&3

H 

>

D N

@

E U

43

E

43M8L= 

D

7X7$H



H$@L8
D

7U

8L= 



@+WISUJ7%3K@+?EH 3

QAH @AP?PE ESI31UG1

R

G;3A=



7V3

8AH 

3-

D

Y>I



J

 @8L=

D

P'S7
D

3A=

D N

>

ND

=

D N

U$77$7  53A=

--6H


A>

3

D

>$@
D

@
D

EI

   $7 @ 8L=

@C

ND

>IS8A

D



3A= E3a=

H  

 @

D

H @L8
D

D N

 @


H @L8
D

>$@


$7

?

@3A= E35M43-2 3A=

A

>=

7^E UK

>8L=

H @8
D

GB63!I

2>3A=

7

D

3A=

>HI @6@
D

@+E3W3A=

I?UZ>$@
D

>

D

P

D

I I P'2E3

D

3;K>

D N

$7 

7$763-



=

@AU

>



=

H

8 @

%3-?@C 8AH 

@AU

&3-
3A=



3

P

D

FN

] 

7$7 @

6=

$7  ;S7

3A=

D N

V

S7

D

-3-SISI /P SI2 EI

;3A=

D

I2

>I 8A

H @8
D

/P

D

L=

=

=

>IS8AAG$7

@+? @

3A=

D N

8AH 

@

=4=


7=

>IS8AE3- 
D

3A=


D

@T8AJ@LH N

B!H

5

=

=

I@

7 E3-F%3K@H$893AH @

> @-3-S8OH$I2 @+@


D

D

7 
D

Q VU
=

O

63 E)UL >$>

D N

AG 63, =6!=$I?U

KU%3

E

93

@ 1I P

ÇH >$>
=

3A=

D

@LM)H 3

J 8 ,

3

D

H 

7 

D

@+ `>

  
 ! 
 
  

>  
D

7

Q

3

@

H

  

P


*%AIÀÀLÀ=$7

8AXH 3-SI

A=C8

3







EU-63


I?U

>E3

D 

8=

=

D
@



=

    
    

    

    

@

6!H



I


H ?@

7$7 63-

D

3

7 E3->-3K@LH$893AH @

3A=E3L3A=

=

D



@

] 
=

¯

    

    

    

-2 >P ?>F@+ >=


 >$>IS8AE3-

IH >$>I 8AE3-

    

D

D

 `8A

`I2 U

I2

E
D

@W$7L3A=

M0 4<:<2*5 )023'@14B/+,082 $&'C+,5 H1('?C!K



ND

-

D

@H 

O

@ 1I P

IR@

>IS8AE3- 
D =

Y>I

&3

7

H + 

8AE3

7>&3

 $8

w|=

EH 3L3A=





8
D

%3-AG

D

P

@W3A=

U

> U
 E3-?P

  *
   !#""$%&'")(* +  $,-  #-    . / #
( %




O





  







Z3A=

I?>= E

I

@

7






D N




ISI

7
D

63-

D
>

D

_E



7
D

@



H $7

&3

34E



D

8O8

D

I

8



7
D

53

>





D
D

@C

3A=

@

3A=

D

8AH 



D

Y>

N

ISI

N

 3

SI1

N

>

@C

3A=



@-3- 

> ?@

H H

SISH @

N

Y>
D

@+ >=

 @



@ 3A=
3

N

@

@

G

<

;893-

7

%3

 ISH @

%N

¿  r Ã

U

A

43

&3 E)UP3A=


D



;63A=

@+- 
 
D
D N

;$7U63-E3

8L= -FG 

>@+> @AUY8

7FP

&3

AH$I63- 8A\E

7
D

 'S>Z@+ >=


D N



@
D

893- 
3

@
3A=

3

@

7
D

H$I633

D NaN

3A=

D N
N



E
D

6@



3A= E3635>

--?EI

D

3

8L= -FG E U

I>63

7Z7 >E

¯
½1O 8



>S@Q

=

 

D
3A=


3A=

D N D

@

8L= -

I



&3`E U

N

&3-,> UF

SI H @

D

34E



aN

Ç

I

 EI
3

7

SISH$@

D

D

7
D

3A=

Y>
D

@

D N



D

@


S7

D

3LH?P



N

>

N

&3- U>3A=

B





D

@+

½O

D

7


=

3A=E3

µ I D ¢.;

 

I @+$8

G/

D

P

`N

7
D

>

5-3

G4$7P

@
D



D



D

D

7
7

A



I @-

S3



½O
½1O 8

΢

;63A=

E


AH$I3-

 ISH @

O A= ?@7

D



P


_N



7
D

> @CE3
ND

>E3%3



7

@7$P
@+

8=

=

P

@+G

 '?>P@C >=
3A=

D N

D

 ISH @

D



8A 8

> E3%3

U563A=

@+%3 A

D

 ISH @

N

@C%3 18A
D

N!

D



D)D

?K>


D D

  EI?U

SISH @

N

@+- @LUZ8=

@+- @AU68L=

H 3N3*
D

@V

 8A

@+%3 18A

= /P
D

M8L= 


7 P



@ 6@+$7
D

@R @

@+ >=

43-I,@

H$IR3

ON

D

>8L=

= S8=



- I &3,3

I2'

%

ND

@C893- 
D

FN

I % 3
D
=

H &3-SI5 E

&3

7$H $7 &3

%3 W9

D

P3

D

+

IW

3A= E3

= 6!=$I?U


7

D

H 

H @L8



I >=S8L=NV7 P

E  ESI63 UG F '?>
D

3A=

D

@

D N

AG

AG;3A= 2K5SISI4E

H$IS7:E
D

8 @+L=

3A=

D N

-FM8L= 

D

H$I63;3

 'S>U@+ >=

'

D N

8

7

 ISH @

N

893- 6
 ]  'G A= 
D
D
= =

D

@
D

N

@C>
3

I -AGW63!

 'S>F@+ >=F @

D

 @L8=


63A=F= 6!=Z>$@

=

W-3



8 @

P
D

V3A= E3>8= 

7

> >$>  

893- W
 ] 
GA= 
D
D
= =

H 

7K2

&3

=

xÇ

7
D

7

3A=


D

3A=


@ 

-3K@LH$893AH @

>


3A=

=

G=

%3-E3

EI$8





%=

>@+> @AU

D

H !=$ISU
D

@+,V3A=

@+%3 A

3A=

AH$I63-V @

 ISH @

3A=

D
D

7>

>X

LH$I63-AG)>$@



6N

I J@+7

D

&3

@

@

>8L= 2

7 @C>E3-S8AISI?UFW>$@

6!=)E

@AP M3A=

AH$I63-:G!>$@

H$@
(

=

I @+$8
D

(P

7
D

FP-2 !I

D

V @

893

N

?@

H$I63

7

>8= 

D N

SIJG$7N!

D N

7
D

D

3- 8AI@


D

7

>
D

AGAH$8=

AH @AP?P K '?>

@
D

 8AKI6T/U' $7

@ 3 

>?@N
@

3A= E3

@
N D

H AISU

> -  @CE3- G4Y>I?U'2 3A= E3RE3D
D
D


8

U

7

ISI

SIJG$7

N

KO

3A=

%3

D



@+893- 
D

6N



&3-I@

 @LISU


7

D N

, @

H43 /3A=;>/U
D

P

D

7
D



3A=

-S7

D



@+%3-$7 2 

I % 3
D

@+$7

-

I - 3 Q 3A=
D
N

>AH$@AP'SP' 5>8= 

D

3A=

>@

ISI *%3AH$7 7V$7

>I

> @CE3

I @+$8
D

7F7 E3-V%3K@LH893AH @

F



JPE A=Y+`HI63-

N3A= E3F @

3%3

3-


IE3

A

H$I63>3

\N

8=  -






`H$I3-?>I
N

@-3-  IW3
D
D
D

@

ON D
E

@+M
3

@

D N

>S@5


=

3A=

D N

AG=4E

A

D3A= E3T8A

3A= E3

7





D

I @+$8
D

W@

SI H @

7



=

3

D

D N

D N

3

H?P

N

AG1Q3A= 

 2A=

>$@



H$I63

=



L8 @+?E

I%3-,$7^E  @AUK3K@

E
D

P

'

>S@3A=

 H


À

7

893- M
 ] 'G 
D
=

@
D


3

7



΂
3

893- 
 G,
D

M

 


3A=



H 3H- 

D NRN

= 

@+- @+I

7
D

> E3%3

S8

@
N D



@+G

 ISH @

"

9

#"%$



´¦

;

N

>$@+M @AU
SISH @







 







H @Q- H$IE3- 
 AG  '?>
D
D

%3K@LH893

¿('

7

 ?>



' ' %rÃ
À

<

 I @-

D N

;


8


E



8

%3

>$@


D

D N

%@

>

7 

À Ä ISI

A



8AH 



I

D

3A=
3

I
3A=

D N



D

>$@+2> @AUJ8


D

3A= E3YI

A

S@;>

7E3

3

D




D N

7

7



7
D

 ISH @

N

I ID 3A=
Q A=
=

>@
IE3

D

@+7
D

;

D

7

?3A=

@

6!H

2





AH @


D N
@

>$@

8

I E

I

IE3
D





=

-

7

] 'G 

7

SISH @

N

E ESI31U>$8 @
D



D

 @LI?UVISI

7
D

}O


D

@
N D

73A=

$7 SP'S7H I 

SISH @

I
=

H  H

$7

D N

N

 ISH @

N

 H `E

E ESI2631U
D

D

?^= 7Y





@C >=

? @

7
D

D N

3A=


@C 7 



!

V3A=

D

D

8=

D

P

+SI &3;3

E  ESI63 U
D



43

6!=)E


7
D

@

>$@

ISP



D

= !=$I?U^@

AG=

3A=

D N

Y>
D

E
D

73A=

D N
@

3

7
D



&3

3-IB)H `E

D

 @

 Z

I?U!

Y>
D

 >$>

À
8 @

<

-+?P

7:8

3A=

' ' %

D N

@

893



=

@+ >= 

@+ >=

I

=

@+893- 
D
N

7
D


  








=

Isolated nodes/Primary component

1.1

6!H

@

]
=

@+893- 
D
N





I -3A= 
8AUM


D

7

N
= 7

-+E

H @


=

=

#"%$

´¦

;

 @L8=

H @-3A=

@

W

 >I

D

0.5
0.4
0.3
0.2
0.1

@

D N

=

D



 @L8L=

D

3*

3  >$>

 @+W3

D

3

D

7
=

D

 @L8L=


%I

-

2VP

I

D

PP

A

&3K@+7  893R3A=

D

 @


I?U+8L=


A=



D

;
%3

>

D

>
D



A=




D



(¢

9 I  .; 7
D
D

@-3- 
SI 7P 7
D
D NN
D
D

@+

@C$7

D N



6!H

AH$8O8

-

H @L8

$7

D

D

@

]

D

;M2

N
=

@+ E3

=

7

B!H





@

 I.@



&3KV

D

] 'GE



@

%3- EI2A=




WWAH E-3-43-I I?U

7 

AG

=

3A=

H 63
=



D

7$H $743



D

>

!

@AUZI P

%3-2 E3-



D

H$I63-

P

Y>
D

=



I?U

D

3A= E3, ?>N@+ >= , @

D

>@+> @AUX8
7

$7_H - V7$7 3-

->ISI H `E

D

I?P
D

3A=

D N

 M

À

<

>$@

8AISI?U
D

AH$I63-5 @

@+$7


8

' ' %

K$7Z3A=

@+E

SISH @

N

H >
D

AH @

,?,

7
D

7KI   D3A=
D

A

43-IR@

A



/P

I @+43;3
D

@+

7

3A=

893- 
3

II'53
43 E

I2E3
D

,UP 'S>F@+ >=F;3A=

 AH$8O8

 U_7

>



7

3A= E3

= !=$I?UM3

@



 @L8=

0.6

893

YN

%3D

D

7$7 63-

SI 7N

D NN

9


ÇD



AG13A=

3A= E3R

0.7

AH$@AP'SP' L

 @L8L=

3K@+?PISISU

0.8

 H `E

3A=

@ 
D

Isolated nodes
Primary component

0.9

0.0
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1
Probability of node failure

]¯4=

D N

1.0

I
7

=

Q

&3-AG

3-I

3

D

AG$7L3A=

-SI2 43 3

8AH 

@C



D N



D

ÀÀÀÀ
SIKO
N

@C893- 
D
TN

@+$7
D

'

8=

H$IS7



D



>

893

1.0
1 successor
2 successors
3 successors
4 successors
5 successors

Fraction of failed searches

0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1

0.0
0.0

6!H

@

]


R8=U

7
D

ISI13A=

w

I

P

3A=

768

=

=

KJ



K>

P

8A 8 

SISH @

N

H?P





D



B3

>E3%3

@C 

 H  3A=

3A= E3

8

 '?>

D N
=

 H `E

ÇD



=


@



-> @-3

E

%3- E3-

@L

 @L8L=

7
D

8A


7G 7
3

7_8

H$8=^E

SI

N

ÇD

=

/G

D



@

=

&3
=

3A=

 @L8L=Z>

-

E
@

@

 I 3A=

ND

 KH W> 

3%3



D

2P3A=

E$@

AGAH8L=

Y>
D



@+M %3- 8 >E3A=

 @8L=


>/U`E



3

893

-+E

ÀÀÀÀ

AG >H 3%3- !3A=

8L=  H
3

'

@+63A=
D

 

D

SI2AG3A=

N

>

D

 @8L=MI


I  H;3 G 
D
D

3a>$@

D

D N 
8



7N

D

D

PS7

> $7

Y>

%3K@



 V!H  @C43

D

@+DLH$8L=K8
7

 +E3

8L= ->

@C F@+$7

@+ >=

SI

7

7 E U!3A=

MP 

2!

M3A=  >E3A=

D

8

-

@

'

/$7

3*



A

@+>$8

ND

ND

Q3A=

O @

@CA= ?>
D

@ E UU3A=

ND

@8

 

A

-2Y>IS8A31U

3*

 '?>

D N

PS7
D

-%3-&3D

 -3K@LH$893- >7J@

D

>@


D

7ME)UM7 E3-

¿È

@ 
D

@+ >= 

>?@+2 3A=

'%

G

<

G

À
A=

$7
3

=


  
 

 -S7

D

H 

7GB3A=



7
D

3A=



7
D

=

D

3A= 

7M7 %3K@+SEH 3

D


7



>I 8A63 H 



   

7
D



D

D D

3

D N

@+ >= 

7
D

VUP

 @

P

 @


0.7

 

À

<

=

7
D

$7M3A=

H 


N

I



7
D

N

H$@L8
D

>E3A=

SI H @

D N N

I P



@+>$8

ND

7

E



7$7 3-

M3A=

A

3

7  $7>

A

-3-Q3A= E3L

$8


 E

D N





8
D

3- @-

&3AG!EH 33A=

@+IJG ?>




3*



D

>$@

$8

%3

7

 @L8=W>$@

D

8L=MI P

0.6

' ' %

 ?>Q@+ >=Q;63A=

2

@+;E3

I  KISI I?P
D



H @L8
D

-

435 'S>\I%3-;3A= E35K

 H 3
=



7

A

0.2
0.3
0.4
0.5
Probability of node failure

 @L8=


LH$8O8

AH$8O8

AH 



@

%3K@LH893AH @

% mÃ

 I 7

P

D



Y>
D

U2V3A=









3A=

893

7 
P



E3A=6E

 @L8=



$8

D

‰S>‡xZ,>

 



3

 != S8=3A=

D

D

 @L8L=

@:G

>/UWE

8

+ 93-

D
D 
N N
= H >F3 $P
D





D

¯M @ 8
=

0.1

D N

>

=



@+



D
N


&3-I)@

SISH @

7$P

893- 
 G
D

7

D3A= E3T8A6E



D

@+- @AU:8A

AH$I63-B>/U

3A= 

 @

:G 

I



FE3;3A=

D D


> @+E3

À

I

E
D

P
3

D

!

7

@LP


@

43

D

E

3A=

7 E3-

 EI
3

>- 
D

@ O3A=
N D

7

%3

@+E3-

%3K@LH$893AH$@

7

D
D

 I?U : 

2

D N

>$@+2> @AU 8

43- U

N

3A=

GW$7


M ?>

D

Y>

3A=



>
8=

½O

D D

@


@+%3 18A
D

D

@C >=G;3A= E3


43

P

N;63A=

O

7 P

@++ @+I

SISH @

N


 E

 

@

4=

Æ 
 
 Æ ¢
7$P

D N


7
D

>$@

=

=

E

@

D

SI

N

H$@5%3K@+E3

8AH 

U

@ A=

ND

E

3%3

D

3A=

I P
D

-



D N

I


=

7
3

3A=

7

3



D



7

D

@+M
3

 9 

µ I D E¢.;

I 
D

@aE



W

7
D



 
7

D



7 -8

43

3



D

@

-SI $8



@
N D

3A=

>$@+2> @AUW8

"

8A

E

9

#"%$

´¦

;

>  @+E3


> - 
D


7



E U

@+E3-

SISH @

N

G



$8


H ?@

TISI

;3A=

P

AG

=

@D=  8L=
>$@

D





ND

&3 @


D

7
D

3A=

2

Y>
D


3

U@+ >=

D N


  
 B 
 
 G



D

> -  @CE3-
@ VUP
D
D ND

3A=





D N

EH 35 @




3

H $7
D

 'S>K@+ >=;



P

7

I P



E=
I

E

@ = P



3

H6E U68

ISI

D N

H @ @
(

@

ND

= 6!=

V

3A=

N

7

=#=

G>VU

;3A=E35 @

AHI63Q+E 

H &3- 3A=
D

9

@+ >=U;SISIRE



>  @-3-S8OH$I @
D

D

M '?>

D N

 

I @+

5

I @+

53A=

> + ^
 @+E3-
D
D

!

63A=

3-

5



3A=


D

@4=  P
D

 E U  7  E3
  ° 5  5  $7 
  
ZM  5 
  5 
 = I
-
3A=E3=  P
->ISI 
=
7



H

3

=

@+MISI?UG
D



3

D

M

DYD N

3A= E3; ?>F@+ >=  =  P


D

@+E3-

> 

E  ESI63 UGISIW
D



> @+E3- 

; M

D

D N

W3A=

$ISU

D

HISI?UM3- @+

ON

3A= E3 @



5SISI A=

3A= E3Q563A=F= 6!=Z>$@


D

E3,3A=


8A @

7
D

@+ >=

AG)E

I
=



D N

>- 
D

!

>  - F
 @CE3-
D
D

P

SISH @

N

3

? @

A=

D

)H

E  ESI63 UG4Y>I?U'2  3A= E3
D

D

D





(
3

%

B

@+- @+I

SISH @

N

53A=

8AI I3A= E33A=


=

> +  @+E3-
3A=
D
D D N

,

'

=

P@+ >=

3
=



7

 H `E

@

3-

@+
7

EH 3 @

@LP E3- 
D





D N

D

JE 




E
D

D

352

D

3A=


D



8L=

6!=)E


D N

3A= E3

H?P


 '  ¡MU†}ZRŸ}‡Nˆ7ZXS½™‰ ZU‰¡ •†}Z X Z
¹

  
°  ¢ V>RT[ 
   
 ¡(Š%‰BW3Z›‰!‰U†}V>R ± ³t´´  D¼´   ¦ À¹   ¹ ´ ¹ ´  
§Blmbub¨!© I A= D H aI D D N @ I U LH A= A= D 7 D N A= ?> @ >= @ H O
' D ¢ 
 ?P AH E  D N A= D 7 7 P 8 D @L@ K> D $7 E ½O P 8 D @ ^E)U
E @ 7 @
N D
I
! ² ° ' N $7 D $I?U N D 7 ¶
 4= "  8 D @A@ K> D $7 D ISI @ D
 A= @


7R V¢ RTS6[yZ ‰7—rŠ “ œX½V7“T† •#ŠaU† V>W “†]V ˆ!Z U

Dq]džd 
e c‚
"

="

63

3

3





(

ND

@!



@

D



D

D

-S7

@,3A=

8AH 



$7


D

D


=



4353

@




D





Y8

:G

@

¾

À
YI



PE3

"

+ 63 G -



3

½O

893

$7 

;63A=

¸



-$8
%3

D



'

8
D






#

@AP I2

D N



AG

' '
D

@LP I!;SISI8
43-QE3
E3>

@
D

D


=



E 3-2

D

-3L3 



'

D N D
@



D



"

M8



D =

D



@A@

 

243

I63

D

L$7

E
(

@LP

K>

D

D

3A= E3

D

$7 3



93

?

V3

E3,

3

8L=

$7

D

@+ E3-2 U&3
;SISI8



&3-!3

D



D

U

63



7  P

7

$7 >

63-

DFD N

 ' U +

 R3

7 ?PS7

 -%3


  


3

7^E UN >>

E

I %3

@>%= S8L=

ND





G3`8A


D





°





$7


3 E3;3

=

@
D

43

3A=)H>VU
&3

3

 2

7^E63 P

= S8=

D N





%3- @+3-L7

GT



>

$7
3

Æ 
  
 Æ % 7
8
D
Æ 
  

&3- 

F



!

43K@C?EH 3

D



=

G/=

D



=

3%3- 

7 -8

-

8L=

 
D

 -%3

=

$




3

@APEI

ND

@

D N
&3

ND

D N
D N


D

@AP I

D N

ISI ;
  3A= E3
D

#

@>=  8L=




Ç

2$8


  



@

I



'

¸ ½O P

3

893
3A=



D

@%8

7
D

3A=

@

3-I8

ÇH

Ç

D =

@aI P
D

@


D

D

893AISU

@ ISI

 ¾ À

I

 H `E

@

¢Â ¸

7

´ ¹ ´¹ ´

D

 D¼  ¦  ¹
!3A=
"



A=

G 





@

E 
(

KO D

ISI



@

 3
3A=



3*

;3A=FY>$@

H >$>

@ E

E E SI%3- 8; @-!H
D

H &3- 

3A=

8

D

@LP I



¸
4=
=

@
 

D

'



&3



@APEI

%







D
¸
¹
´
´
 D¼ ¼ ´ ¥ ¹ ´  °  <¼
ISIO @
@AP I
D

Q

&3

2$7


  5 
2

43AG 3A=E3

D N

AH$8=



 @

 @
3A=

IE3%3 @

@C

KO D

@

;63A=

-%3- 

D

ISI

>

¹´ ´ ¹ ¹´
± ³t´  <¼  ¦  ¹ ´ 

H $7
D

3A=

D N

43

D

3-

@

7 %3K@C?EH 3- 
 5 @
D
D

=
;3A=

D





D N

8AF8L=  @+893


8L=

7%3K@+?EH 3
D

8

H¢z 

@APEIAG $7V3A=

&3

@

;63A=



D NB
@

,U
=

3A= E3

I

 H `E

"


@AP

KO

KI

D



@+
D

I  3A=
D

$8

=

893

=

3A=

D N

Ç

D =

FH?P



D

D

@

½O

D



'



 @

T/U'!3

8L=

D NR

 P3A=

D

@
D

@C

E 63 P

D N

HGT3A=

;63A=

3-

+N D

D N




D N

@

@APEI

I  3A=
D

@

F3A=

D

8A '
U   3A=
N

7M

¹ ¹´
´ 

P

H $7
D


   
 

MEH 3
"



 H `E

3A=

G

>SI @I?UG3A=



>> 



3A=

@TE

I?U6E)UNK>


;63A=

7N&3


¦  ¹

 @

H43;2
D

3A=

8=

7 %3K@+SEH 3


D



Y>I 3
D

@

ND

D N D

H %3TE

? U 3

D

H43AG
D

@ ;3A=U3A=

3A= E3

$7

8

@APEI

D




D

35P-3K@+S893H >>




D

&3

E63

2PE36I %3

F2L-3K@+S893AI?UGI +
"

H 43-31UG 



3

3A=

D

$7

E AG

&3AG3A=

=

$I?U

@+ @

I?UN->ISI

c„ ZU ªˆ!Z VH‰›Ÿˆ›‰ ZU?S½  Æ ¢ B % RTS6[yZ›‰ S½NVx¢ R@S[yZ:‰!—rŠ “ œX V7“† · •#ŠaU†VW “†}Vyˆ!ZU
 '   ‹c†ZRSX V>R\  ¡ %@ 
 
  
 Æ ´ µ %  %   » ¥ 3 9 % B ; 

  ¥ 
À

§Blmbub¨!© = U D E @AP D A= N D @ 8L=
 '5 N  8D
7
 A=
D
À
:9 <;   ° 7 & 8 D Y>I
7 
A= :9 ; 
· Â  8D
D 
 ° A= A= @

7   
$7
D
· Â  I D A= > A= N @ D  D
· AH$8L= A=  $7

@ 7  8
6I
@
· $H @ A= @ D @ $8 AH8L=^> ?@ @ 7 $8 N D @%7 $8
D
Dq]džd 
e c‚ƒ

"



I

%3



E







D

· Â

%

H $7
E

?Å

3A=

D




9

3

;

8

=

D

+

3A=


3

D N







I 

À



%@  
 Å 9  N; 


@ E

D

D

"



D



G

43-V

;63

E3



MI 

7

'5

H $7

·



0 =



@= S8=

% %5
µ 

8



<

Æ

   

Æ

%



 H

%5

D

E

@

&3- 

2

%@

³  »  ¥ 

¥ µ % 

9

%

BE<

0

G

7 2%3-$893 I

D N

7

¿Å

D

;  

9





·

D N

Ã

;



3 E3

2%3- 93 I G 

N

;63

I G3

%3- 93

3A=


D

43-;>

3

 +,

D

ND

I



 F3

G -

Y>H 3- 

&3-UE3I %3

;4E

=

D

E3






+3

0 =

E UZ8

2?3

43






5





)

&35

D



Å 9· Â



EE3-

E<

0

ND








3;

@Q= S8=

G $7

3





+>SI @I?U

$7

ND

@




$7

E UN3A=

@

-



   G

D

%@  
 Å
TH 3?

E
N

NÅ

3A=

D

= 63 E3 I %3



-AHY> 3-



E

O A= ?@7

 G1$7

S3

;  

%

9

3A= H 

¹

; 

BE<





D

D



] !;T3

>>
 >$>$@

353A=


=

>@+E3



D

I?U

8=



D

3A=

>@

S3



¥ µ %





3A=

LÅ

D N

3A=E3

3AH @+XE

9

7

¹

; 

BE<

I G&3A=

 ; 


H 7
D

%
9



Ä

N3A=

S@ &3

@+

Å 9 · Â# ; ´ µ % 5
E)U %  » ¥ 3
   ¥  9 % B ;  

893- N

H %3
D


"

E3

H$7

E<

%3

D
@3A=

=

}O

 @+!H  >3A=E3;3A=

!I6HSEI

 *

D




O A= ?@L7

E ESI2631U
D

%5



D

P

AH$I34E)U

3P

Æ

<

 GT=  8L=

HISI<@

`N

% %5
µ 
"

;=63RE3 I %3 3*



 ¸ 
 Æ 
 · Â  


BE<

8A

@

ND



V3A= E3

D


   
<9

xÅ 9 · Â

;D$7



D

  9 %

ȴ3
 ¥




9

· Â  ;N

9

9

]

>M

>$@
;
=

=

@

 @


3

D

E ESI31UP3A= E3)U
D

3-SI @


H?P




D

H !=
D

>$@

;63A=

3-

3A=

D N

FV3A=






+>ISI

9
  5  


= ,-MISI

4=

D D N D N

@
D

]
=

'

À

I 
D
=

~{ q]blmq]d p‚  „cZU   ‹c†}ZR ŒV ‰!—mŠ “ÁœX½V›“†ž•#ŠaU†–¢sRTS6[yZ›‰MV>RT[.V>W “T†]Vyˆ!ZU '  ¡ †]Vm‰HVR
Zš“}V>R‰›ŠaSR X½VUaŠ S S½xVU?WZ!Vm‰›U ´ » ¦ #• ŠaU†x“@X½Syˆ!VyˆŠWYŠUa\VUW3ZV>‰›U ' Âc¢ ¹ ¡•†}ZXZ À † }Z’‰
’ ‰ “ !"#


.

. #"%$

§Blmbub¨!©$
= /P

°

3A=

´°

'

<

(






D

@

I

´

ISUM3

3A=

=

AH E 

D

8

E

D


 35
D

@+E3-
D

E

A

·

D D N

;3A=

3A= E3AG563A=

>

893

=

'G3A=
D

ND
@



A=

N7 %8

D





E3B
3A= E353A=

&3?3

@+>

D

-3

"

D

@;>AH 3- EI

 @

%3

¹

3A=

893AH I[8

&p¢

.9G=

D


 
 °  Æ ¢
>@

7V)H `E

'@+%38AE3

5



D

= 6!=

9"

3= @L7V3
3*

H$@4>$@

E  ESI63 UM3A= E3 M '?>U@+ >=
D

E3


   
 >$7 
  5  


I @+

M>4]

>$@



D N

5



 UQ

D N D



D

3- Y2P3A=


= /P

A=

D


3

H &3-  3A=

3A=

D


N
D

N

;A=V3

E U
D

 @

U @-3- 893


=

3A= E3;3A=


D

>- F
 @+E3-
D
D



@;

H %3 =  P
3A=



>/UJE
-S7

D

;SI I$7

H?P

;SISIL=

@
ND



3-

@QVU

@AUG 7>3A= E3





%33

@+

'
=

4=

3
=



B°

-

H @Q%3K@+E3

8L=V

V3A= LH

3 3A= E3,7



3-

7



¦ °



D N

¦ ¥ 


=



#$
. #$

%


D

G$7MI 3

3

 =  P

>2 E3



D

->ISI



-

A=

D

ND

 

=



$7

3

('@+%33A=

E3

 YP

@AU




   


@B= S8=
7G

@

="



D
ND
¹
¹
¹
¹
´
´
´
´
 <¼  ¦  ¹ ´  B  <¼¼ ´   ¦    H I D¼  ´ ¹  µ ¦ ¹ ¼ ´ ¹ 

<

D N


  
 ´ = 

=  P

;SISI.E

D

7

Q )UMAH8L=N
>- 
D =



U

7
D

> @-3- 8OH$I @+PEISH

 »

. #"%$ 

D N



->ISI @

563A=K+>ISI @

D

–¢

;63A=

 -3-43> UJE

 = ¹
¹¹¹´
´
´
º
D¼
¦
t
³
´


  ´ 
±

I @+

<

E ESI2631UG ISI

D

D N

%

B

°


@

·

A

"

´
G $7

G

-8

´
"



 Æ ¦¥

$7

¹
 º ´ 
 ³t´

G 3A= T>$@

'

¸


D

7$H893?2

-SI?UN

'

¢MÂ ­
 Â
|Â '


"



%

°

 °

I 3




Q >$>I?U 

I6

I6

¸
Y]

M>

G 
<

= /P

G 
=

Æ ´ % 5 Æ

3A= E3

D

%@ ¿ 
  5  


%

B
'2

P3A=

E



%

%

³

    


  5 


I

°

9

7



ISI ;
  3A= E3!3A=
D
 @

%

!;

<!B

D

I +3A= 

8

'63- D



.

¹ ´


Y>H 3
D


D N

3A=

>$@

D N

3A=

!;

<!B


Ã
"

I69

E E SI63 UF3A= E3Q3A=

HG E3

D

%

%3 >3

D

@



 


9

 » 

I(¢

 E

<!B

 » 


Ä



;

;




E<

;

9&]

Ä

P

>$@
D

E  ESI63 U3A= E3,VUN

>- _
 @+E3- G1
D
D


A

<!B

%

!;

(¢MÂ 

I6



D N

I69



-

G

<!B

%

!;

@ =S8L=_E

ND

H &3-631UG =  8L=F

3 = ?L+>ISI 

7
D

$I?U_8

]

;



8A

4@+63

3A=

D


  


%



D

 -S7

6!=)E

@ PEISH


D

@=
D N

D)D



7GH

AH

I - 3A=

P
D
D


H
@
@

$7

%=
I

=
3A=

'
=

Ä


P



µ % µ 9 ;¥¼ ´ 9% B

I69

!;

%3-!

D



;

BE<

H?P

%



BE<

9



 
;

I6<9

!;

<!B

P

3A=

<

' %
µ
%
E<

%»
"

<





; I9 

¸

D



µ 9 ¸; ¥  ¼ ´ 9 % B



!;

<!B

'

¥ µ %  

@+6!=&3 = $7F- 7

9

I9

'



% ' % '

%  ¸ %¸ ' ¸ 

¸ ¸
È
'  Â ' %

I6<9

°
ND



YI H
  @+63A=
D

"


3

%@ ¿ 
  5 


ISI ;
 ?3A= E3
D




%5



%

ND

¢MÂ ­
 Â '  %¹²
´ Â % ²3³
¢MÂ ­Â '
´Â %

% % ' %
"

  

´ ¹ ¸Â


3
=

=

%

Æ



'

¥´

I -?3A= 


 Ã Æ %@  
   
 Æ
"

"

$7F3A= H 

'

´ ¸Â


E
D

  

"

D

3

¢ ¥ º ´

¢ ¥  ° ¢ »  » °% »
"





A

=

@

,U

I3

D

¢ B %  = D
8

 - 7

D

P


@

@:G E

 ¾ <I D

$I?U

D

8AH 

%@
 ·

= 

P

M

@AUF>$@

¥¢ Ç



!

@LAH E
3

·

D N

=  E3 I %3

>  - J
 @+E3-
D
D


I -,3A= 

. #"%$

´ ¦ 
 »

%

' Â%

"







@A@

D
@C

D

Q
=

I @-
@+ >=

8=  3A=

@

$7
$7

@
@

3*
3A=

D

 H `E

H  @

3A= E3PH 3

 'S>

@+ >=

=

>S@+W7

P




ON

=

@AU

Ç

893-?P

D

@



D

7

893- 
D

<

µ
I

7

A

3

D

 »

. #"%$ 
. 9

µ¢
¹
I

¦

 »

µ¢
I

 . #"%$  » ¦


I

I . #"%$ 

µ¢
I

¹ ´;



¹

0

.

.





V3A= E3

D

% ²3³

' Â%
'Â
' µ¢



4=

=



I

H AI?U
D

3A=

D N

@

8L= -

%





 63

D



=

=



=<

H?P

I6

G5

>$@

 'S>F@+ >=
3

D

H?P

A=

È



=

¯

P

D

@

3A= E3N3A=
W7

ON

893AI +

È

3A=

I?

@:GD

3-


D

=



7


> ^8

@A@
D



@AP

D

@
A

D

7

893-?P

D

M@

43-2)H

@+ >=

ON

@+>$8

ND

3

H?P

3A= E3;3A=





%3>2

@



HAI?UG
893
3

 '?>P@C >=

O3A= E3



D

>?@

7
D

Ç

>?@5

'$@+%3

3A=

8OH 3- 
D

 %3K@C43-`8A:E

8L= 3



7UFVU

>/U

D

>

8O8OH @ 8

A=

@+%= S8L=



8O8OH`H$I2E3- 



 ?>

'



S7

D

 @L8=

D

3A=

D N



>?@N


SI H @

N

893- F
 ]
G
D
= =

> ?@

D

/P

D

+AGD$7

IT/U'>$@

@

@

S7

%3-E3

Ç





O3A=

D

@C63A= >3
D

D

D

3

EH %3-
D

@ 3A=
D

-?@+ EI

8L=  2-OD3

ISI ;
 
D

ND

@

A

@-3A=

893- \
 ]
] G  @
D
= =

F

893- :
 ]
'GD
D
= =
GT$7

$H

>?@R



@+7

3!H  @C43

D

=

>S@Q

]



L;SISI 7

7 A@LH > 3- 
 
D
=

&3- H

D

D

SI H @

N

>/U
I

8

7 K@H > 3-  :G3547
D

7



D

D

 %3K@+243-AG HSP



žÇ

-AH Y>3-



N

> ?@

I

753

A

893-

ON

3A=

 '?>V@+ >=^8

%3K@LH893AH @

7

A8 @+?E



SISH @

>?@ISI 3A=

D N



>E3- 8AISI?UG=

D



4N

@

>I2S8AE3- 
D


=

>?@D3A=

I A
8 ISI?UGE U
D

@

AH @AP?P

8=  +

7

ISI ;
  @ 3A=
D
N D

@+ >=M8A

>?@



ND



' !


M ?>

 '?>


D N

H !=

HI631U

 


Q I63A=



@:G1
D

I

² 

I

' Â%

°
I%3;2

%

 » ¦ 

. #"%$ 



 

°

3A=

¦ ¥

³

Æ
°

@

6!=)E




"

"

=



D

= P


D

=



>
D

8=
3A=

D N

8

7

7 E3-



893- "
 ]
D
= =
8L= -

%

P


%¨ $ 

 @AE3K@+ @+SI?U^I2

7

893-?P

8

H T3A=

@

ON

4=






7

 'S>

!H @CE3-

>S@?

'

8

V3A=


 N   5

LG  

5 #

<'=


 N 

LG   5 

=


 N 

°
5 °
5 °

=


 N :9 R;  9 

=





3A=


P


EH 3?3A=

(

'
7

%3-E3



U

D

´

I8

3A=

@



D

8A

E

>$@
@

@

A>

-3

> @-3-S8OH$I2 @ 3 U)>


R3A= E3

=

7G1


8O8OH @%3- @+3- 
D

> ?@>

3A= E3+8

A

SISH @

D N4N

3W@

D

8

!

@+3-
 +S7

D

@
=

@ Y7
893AI -
N D
ON

D

= /P

8=  -

8

@ 3A=

6N

3A=

 ?>Z@+ >=/G;$7

)U

>

$7  



L8 @+?E

@5ISIRI P

ND

°



7

-+E

I?U

=

'

%

$7

'

@



=



FP

A

>I2

SISH @

('
F3

D N

D

893-?P
D





3 ^E

(

=

–Ç



D



7

3-K3A=

D


=

D

%

@M
3

<

P

 'S>

'(

8AISI

È

8 P3

@+Q

@C >=Z>3A=

>/U


D

 %3K@+243-

D

@+ 7  8AISI?UM8=
D
63+7 A8

'



$8

D

=
D





A

N

 -2%3



63-

E8
8
D

$7

>

=

I7
D

;63A=

$7
<

3A=

43

I7
D

%3K@+&3-

D

$7

D

SIR3

N

U

$%
@
D

7


8
ND

D



@L@

@F3A=

K>

D

E3

$7  F>
3



>S8V893-

D

D

8L=  

D

D

@+K3

243
3A=

63M3

D

?@J>

D



AG

$7

& #
$

@P&3 @

 -3K@+&3AG63Q63-E3

=S8L=


;CG

 ISH @

]P3A=

&3

D

;CG

ISI



N

893- ^
 ]
D
= = =




(

® :9 <;  9  ' ;(° :9  5 ;  9 
¸
¸
ND

 %3K@+&3-

D

'



8=  -


N
=

D

@

"

=

® :9 R;  9  ' ;(° :9  5 ;  9 
¸
¸


 


;?$7

ISUG7

7F


=



>
7

I?UX
3A=



7
D

IE3
D

'

#"

 

893-?P

8L=



>?@,

K>

 


;T$7

M

SISH @

D N N
E UK3A=

E

  À¯

I

È

893- J
 ]
]
D
= = =

V

=

$8

@

HÇ

 ?>K@C >=G TH?P

=

°

5

3A=

%3K@+&3- @

>?@
 - 7

5



893-SP

%3K@+&3-

D

%3

%3-E3

3P;SISIT

=

 -3K@+&3-

D
3A=



 %3K@C43-

I P

8AH 



:9  5¬ ;  9 
¸°   ¬ 
I2 G  ¸ °
5¼ ´
5=
' ;(° : 9  5¬ ;  9 
¸  ¬ 
 I2 G  ¸ °
°
5¼ ´
5=

! %" #`8 D

8

E

 





SISH @

N



P I 7

3A=



D

 

D

3-

D



>?@+ 3A=

;

´

 5 ¼







"

' (°


 N :9 <;  9 
=

¾

LG   5 

 5 ¼

3A=

@

%3K@

33
H?P

      

 ?>F@+ >=

5


 N   5

È

@
D

--?EI

D

$I?U

D

%3

 %3K@+243-?3A= E3 7

D

LG  

=

]

Y>

 

°

%



 L @

D

      

7
D

$7Z@

8L=  2-

EHJI-3R3A=
)UV

@C >=

3A=

2

=





'


D

 ?>F@+ >=



8L= -

3K

D

43

D

!

I>E3



N

3A=


@CK3

=

D

>
D





@
N D
@

&3N3

D

 @

1G

=

3A=


Y>I

&3-E3-

I?P

>$@

=

D D N

D

8L=

$8

E=
I



$8



D N
@

D

ISU

>$@

3A= E33A=

7
D

D

5SISI7

@+ 3

&3

D

G'3R;SI I 

@D3A=E3R=

7
D

@+ E3+I P



7


> ?@VUJP I E3
D

7

U

I?P

HSP

V

E 8

>

@

243

D

@


D


N

63+7

@

ON D

7

7



N

 I 7

=  8L=

AH$8O8

D

3K@+?PISI?U

 

$7

-




 @

>&3-

7

5

Q

@

@ >@
D

+E3-
63A=

3A= E3R3A=


D

ND

@B3A=

>?@

7

8

' 1
 (


@

-

 -3K@+&3-

D

H I13

@QE3+I P
D

I[8

3A=

D

S@4>$@

¶

'

8

G

%

$7

>$@

@-3/$7 7

I 3

7

8

I`8L= 
7

$I?UM3A=

8A

Q I6
D

@+63A=

3A= E313A=


D

7$H @C  > 

>6353A=

3A=

I



D





> 8AISI?U

D



3A= E3LU

@

63

3

D
7
D

8

SP

@N$7XAH$8O8
D

H @

D N D

2 63-E3

D

 @



+

@
D

 E

4=
=

P H  PEISH
D

H AG



D

3

)PE @+&3T8


D

7
D

N

SISH @


>@




%3K@+&3-

D
=

#7“  aŠ Š%‰BŠ N“ œ ‰!‰
$8

-S7

D

,3A=

@CE3-  12 3A=
D

²°


@

VU

D N






@>ISI?

ND

@;3A=

UF @




3;3


@

D
7

D

SISH @

N


D

²°




N
=

!






$7

@

J=
7

D
K>

ISITI P

LG$7U3A=

893-?P



I



I?UG

 
G

5




)PE @+&3;

=

§  ¨!© ÇH$>$>

D

-

>
D

:'!MŠ 

'

3A=

I P

3A= E3

--E

 

 c‚  ‹c† LŠ  ›Š  (Š%‰‡ > Š  >Š % > Ÿ ›Š ]œ ™Š ‰!! 7“  aŠ 
½(>Š‘Ÿ  ›‰ 


8L=

AH @

N

 %3K@C43-%7$H

D

I 7 DP3A=

I



 &)
7

D



'

D

-

893AH I

E3

63 = T3

8A



>H @A>

63  @

D

@

ON D

8L=  2-3A= E34H 



)P  @+243=



8
D

@CW3

3AGB

D

@,3A=
D




=

=

@543 @ I P

$'

>$@

D N

@CE
D

D

@+WE3
D


=

43

D

!

D

63

P ISH

>





3P3

6!=VE

°

5

SIAGH3A=
6!=)E



63-D

N

 
@

D

SI 7K
=

3A=
3

D

N



A



7

E

@CE3- ^
 = 
8O8OH @A@
D
D

4=
=

N



@+P @

&3

D

D

°

5

D

893?3-

 @

8 P3

 
3

)U&?



D

$7 2 \>

D

M!

3

D

I

3A8U3

K>

2VPE @+&31>&3-

SISH @

N

§  ¨!© ÇH$>$>

D

-S7

D

@A@
D

@+ 7 S8AISISU+8L=
D



D

8

 

 c‚   >Š‘Ÿ  ›‰Q“ ›‰!  †  Š  7Š  D•† 


D

A>

>

!=VE

7GR3A=

;SISI >

+@

3A=

@



3A= E3TL

3%3-2 

P
D

7
D

 5
 $7   5

½! !, D D >

H 
893-?P

I?P

;SI I 8

--?EI

D

7

D N

@:G

8 Q3A= E3 63- 

K>

3

8L=N

GB3A= H !

D

@I P

@

G

D

P


D


 3?,>
=

893-

ND

> @

G$7NM E 



3

--E

3-SI
=

@%8A

@

ND
@

(
D
3A=

@-3
D

>

&3K@

D

4=

 

@-3

IS7 R>$@C /
@ 3 3A=
D
D

M535N>?@L@

7H$8A !

=

D

@+E3- >
 $7W>$@ P
D
D

%

 %3K@+&3

-2>SI @

]); 7$H @+  3A=

)P  @+243=

D

AH$8O8

>

D

7
-

D

3A= E3D3A= 7

@;>E

@aI

@+E3- U
  @
D





8L=  
ND

ISI ;
 
D

D

D N

TI +R3A= V3A=

D

@+3

 

5

¯

>
D

R

(



Q I6

@+E3- 
D =
3P

D

Y

D

D

@+3A=

7

8

(

IE3
D

%

 %3K@C43

D





=

† <“ ›‰T’ 



D

D

@

%3K@+&3
I2

3A= E3, E

%

 - 7

D

8

8=

'

4

 +S7

D

 L7$7

\9$7U63-AH E@
D

H 3-

7

@

%



¯ 
<

3A=

@

@





3


D

7
D

   3

9 I

= E

]



A

3A=

8

@A@
D

9 I2








3A=




>2

7



7 !

63A=

@ @

3

7
D



3A=


(

8

@A@
D

¥


D

=  E



D

D

K>

7

A

 %3K@+&3

D



'

=



$I?UM>-

D

F


D

V 

@-3

D N
7

--E

8

3A= 

3A= %>$@

8
D

-+E

3

$ISU+>-


@W





7L3



7
D

 = 4=

B@

AH8O8

-

@
D

I

SP

8

!;
=

@4>+
D




4=)H &)
=

8

SP

° ¾ 




G

@
D

%

I E
G 7L3.@
N







+

@+63A=
D

@+3-

&3, 



8O8OH$@+=
D

4=)H 

N =

7

]);CG

@ 8A

 °

%3-AG



Q I6

D N

@D3A= P3-

E3

8

°  ¾




>$@

@C63A=
D

$8OH @A@

D

X

=)H 
  &)

=




H 

%'

7
D

K3A=

=

IE3%3

@ 3A=>63-

E3

'

Q I6

D N

@-3-

LH 63- EI

9 I

7H @+ `8

@

AH 3- EI

D



D

7
D

9 I
"

4=

%3K@+&3

D

>-

G1$7 G@

N =
D

@


=

8O8OH @+K=
D

3A= 

I

!;
D

43Q

@ 
D

¾ 


D


N

Q7


A

3

@J8A

3-

-


D

]);CG

$8OH @A@

D

%

@+63A=
D

@+63A=
D

-MISI @


+(

@+63A=
D

3*

D

7
D

Q I

D N

I2E3%3
8

7G 3A= H -E3-2 
U  
N

@
N D

+



->ISI @

]);;

D

4=
=

D




Q I6

Q I6

D N

7H @+ 

3

--E

E

"

SI25

`N





  
 K

D

D



N

%'

:9 I2
D

9 I

7

7
D

  3

]

SIB!3A=>@

7
D

3

K$7


A

H $8L= 

9 I2


D

]);M

@
N D

   


$7 

D

N

3*

3AH$@+ ,

@C6H I    3Q
D


N

I' @

+-E





]);

D


7

D

--E

@+3A=
D



% ]¯



D
Q I6

%3-:GISI



7ZE

3

@+3A=
D

$7 2   3
 

K>

D N

@-3

2 

+-E

+-E

Q I6

D N

@C6H I    

D

  3

7 


3AH$@+ M

--E



7

D




N
=

3A= H -E3- U 

N

=

  À G   $7!   
  --E 3 D  5 ¾  9 I M< % D N Q I6 D 
@C63A=
%!; = 
 N :9  5 ; 5 ° : 9 R; 5 GR3A=   5  $7      --E 3 D  9 I 
Q I @+63A=
]);CGR$7 
  5 ¼ ´ °  5 ¾  = 
,I G  5  $7 L3A=    
  --E 3 D
D N
D
 5¥ 9 I2 ] D N Q I6 D @+3A= ]); =  D 7 '&) D @+6H2 I    
 K --E  D $I?UK 43?3 D  D 7 


K<

¯  D @
]

I P

I












@

@;3A= 

E3

M@
7



D

E3

AH 63- EI



D


V<

@C63A=

!;

Q I6

 5¥

D

@3A= U63-
LH$8O8

¯  D @YI

%

@+3A=
9 I

=

D

7

-

D

@



I

N =

8

?P

3A=

8

4=)H 

5¼



 5 ¼ ´ °

-3-AG




@A@

D

K>

D

´ ° ¾ 

LG

$7 2   3
 K
=


N




D

+(

3A= H -E3-2 U 

N

7
D

D

P

I



!->ISI @?3A= F3-

I

N =

8

=)H

?P


,3A=



8

5¼



@A@

D

´° 

A>



"

D

7  

69 I


"



D N



D

=

9 I

K<
3

D

%



@+63A=

D

D


N

I?U

D


D

D

@

+

D

Q I6

"9 I2
43?3

--E
=

8



D



3





D N

-+E

$I?UM

]);

@
N D

D N

  


  
 K
Q I6

$ISU

D

+-E

3




I G $7F3 @
N

'

%3K@+&3





--E

SI;V3A=  >@

N

  À G   $7 L    
  --E 3 D  5

 N :9  5 ; 5 ° :
 9 R; 5 G3A=   5  $7     
]);CG,$7 
  5  5 ¼ ´ °  ¾  5 = 
I G  5  $7 3A=
Q I6 @+63A= ]); 
]
7
'&) D @+H I 
 K +-E
D N
D
D
=

+>ISI @?3A= F63-


I 
G 7F63T@
N

3-

D

7
D



@ 
N D


D

7

SI

N

3A=a>$@



8
D

-

1(

3A= H +E3- U' 

N

4=

H ?3A=

@Q
D

AH63- EI

'

D

 %3K@+&3

D

2VPE @+&3,>&3-

>$@

7

8

@

+

D

7

7H @+ 

@-3- 
 G
D



I+8=  

8L=


>633A=

D

%



Q I

D N


Q I6

Z

2

(
4=

(
D

ND
D

H ?3A=

7

3`E

D

¯




N


I

 ^7

I 3

H 7

D

9 I

 %3K@+&3

'

'

@+63A=

;CG $7





7


=

I 3

7
D

7
D

7
3

%

3A=

D

63



3-

D

Q I

D N

7

N

D

@+63A=

@+63A=
D



3-

°



3 E

 5
D

5

7


=

¾

H$8L=  

>

3

5



D N

>2FH $8L= 

7G






 


"

7
D

;


N

7

I 3

Q I6

%

8=

Q I6

D N

I'a@





;



@+63A=
D

D


D

5

;

>2ZH$8L=  


N

D



D

D


;

8L=

'

3

>>]
=

')' ' %

7H @+ W7

G]

=

M$7J]

'

= <

I 3- 
 G
D
7 S@

P

893AI?UMHSP

~{ # 
 p ‚  ‹c† Š  ›Š  pŠ%‰D‡ > Š  >Š % †  >Ÿœ† >Ÿ
•#Š †L>Š‘Ÿ  ›‰ 
3'

U2V3A=



 4=

D

>$@



D N

;CG

--E



%= S8L=



LH 63- EI

7G13A= H  -E3- 
U  
N

@


 š ’

8


]
=

Ÿ aŠ 

'

]

D N.N

SISH$@




=

7

=

D

@C63A=


"

=

@
D

=

Q

7
D

'

9 I
@

'

Q I6

4=

=

@

¾ 

H 7G9 I

D N

Q I6

7

 %3K@C43


+

@+3A=
D

 " 


ND

D

D


3

  

@+63A=
D

D N

6H &3-SIB63

H $7F9 I

Q I6

D N

]

P

!2

 +S7

AH$8O8

¯

Q I6

D N

--E

+(

ND

D

 %3K@+243

D

9 I2

]

=

II ;
 
D

ND

@+63A=
D

(

8

=
=

8L=

AH 3- EI

7G 



9 I



;CGBISI3A=

 5

7G 3A=)H-E3- 
U  
N

9 I



D
9 I

$7 P

D

%



  "V

D N



;4H43-SI163@

°

3



IE3
D

 @

H &3-SID63`@

U
=



 5¥

D

3 P'

D



† |“ ›‰T’ 

@CE3- 
D =

%3K@+&3

D

 ISH @

D N N

('!Š 

>



D

7
D

3

'È

$8


D

-+E

@3A= 

3W9 I

ON

(

D N

--E

E3

I
I 3

D

I 3

7 5 


 F7



]

@

7

 


W3A=





@CE3- 
D

 

> -

3A=

@>E
D

>$@

7“  aŠ 

3A= E33A=  7

>
D

$7 L

G =  8L=V?

Q I

D N

D

I @

9 I2
3

7



3WE

D

2VPE @+&3,>&3-

`E 


=

P

ON

3

a>-

AH 3- EI

3A=

3

7

=S8L=

D

D

7

     " 

$7 !

> -

I 3

;CG ISI 3A=

%



 67

Q I

D N

@+3A=
D



;CG/=S8L=
"

'

9 I2

3aE

D

@+63A=
D

7
D



%

  À G Z
 7 I 3 7G463
I

I?U_>-

D

@+E3- 
 $7 >$@ P
D
D

7$H @C 3A=


 E



>
D

V3A=


IS7  >$@C @ 3
D
D
D

 %3K@+243 M;63;M>?@L@

D

8L=XI P

--E

)PE @+&3+=

I 3

@C63A=
D


 N   5
=

!

%= S8L=



Q 3



(
@

ND

Q I6

¯

À
!;

@C63A=



3-SI

52



=

7$H @+2 5 7

7

I'T8L= 

3A= E3Q3A=


D

P

    

'

§  ¨!© Ç H >$>

I2'%@

=

 

 c‚ ]€ ‹c† Š  ›Š  QŠ%‰ ‡ > Š  >Š %  > Ÿ ›Š  œ
½(>Š‘Ÿ  ›‰ 




%3-AG/ISI




=

=

B‰!—mŠ “Nœ 7“†¡ :'





 




4=

E8

>



I I =

3K@+6

@

$7^7

(

I 3

Q I63A=
E3-

G

D



E
D



D

7
D

D

E8 )>
D

(

@AP

3A= E353A=
 ISH @


@ I P

IR8

3A=

SISH$@

3

 %3K@C43-

°

7

%3

>?@M

7



8=  -

I

63-

D N
=




E3

N

@
D

3A=

@

8
D



P



I

@
N4N D



7
3

>$@

P
D

3

7

 -3K@+&3-AG$7

;

243
3A=

6!=VE

3 

D

'G


8


D

7
D

7

\8L=

3A=

8A &3;3
=

> @+3M

3

@

=

'

D

7
=

I?U

>

@

4=

H 



Z8A

@C 
7 S8AISI?U8=
D

893- 
D
I

'

I

893>3A= 2





]

%

=

%%

=

=



D

È;

=

9 3
N

@W= P 

9 3
N

@J= P 



=

63A=
3A=

 3-E3

3



=

> ?@;3A=

7

@ 8
$7

<

SISH$@

N

8 63

&3

D

I 9 I

 @-3MYH 

D



P' 2I E3-  
3A=
D
D
D N

8937\@

'$@+%3Y>

@-3
8 '

I 3

D

 %3K@+&3-M7

D
3

7

@Y7
-E3-2

D

E3JI P
3

E
D

2 

 ISH @

N

D

@-3E3WI P

G7

7 3

A

8 63-TE8 )>

I 3

7

H

>
D

–Ç

?@68

D

@-3

7F

2 

:7

7
D

@+DE3?ISII P
D



¯



D

 -3K@+&3-

D

I

>I2



> @-3- F3A=
7

D



@CE3-  
D

@+ 7  8AISI?UY8L=
D

G 63TI 7  3



!=VE

893AI -;%3-E3
D

>
3

>
D

3Y7$H @C U3A=

7
D

8


I 3


R8=

$8A M

ON

3A=

@+ X$7
D

D

 %3K@+&3- @

D

@
D

7$H$@+ U

63;AH

63-47

D

=

3- 

D

8

@, 7
D

@+
D

%3

@J7$H @C 
D

 +%3

D

3A= E3

 ?>F@+ >=
Y7 SP'S7

'

!;CG 63-P

893N$8
3

T3

:N SI
$7

%

@-3



7$H @C  F2 

 %3K@+&3-

D

7

@

@+63A=
D

AGD$7
8L=U



I 3

8=  +

 %3K@+&3-7H

D

D

@-3R$767

> ?@5

SISH$@

N

7G 3A=

6!=VE

Q I6

I8

D

À
I

P

;SISI 7
=

H S@

--E



@

7F> 7 T/U

63-1

@ I P

G =

$7

D

>?@N)P I 7

@

P' I E3
D

7

>S@>3A=
43

@ I P

I



=

%  

D

I



D

8

Y>I 3
D

7$H @C Q 

2V= S8=

SI2,7$H$@+ !N 

 %3K@C43-

À JI

=

8L=  2-

&3

D

]

'

>?@3A=

@

8

@

 %3K@+243-

D

3

)PEIS7



@+E3- 
 ; @
D

%N

7H

P I E3
D

8L=  2-

D

'
D

> U6E

8 '563-&3

63-


@

D

>

7

G


D

 %3K@C43-3

)P I2S7XE8



@-3
I 3

D N

8=  -

 5

@

 

N

p‚ p‚
u‚

B!H



+ HISI?UG7

@

8L=

D

 3

D

7

7

3A=E353A=

A

8L= -

        " 
 L
7



;

AH$8O8

4=



$7  

8L=

D



P I E3
D

5SISI1

> ?@

,893-

>

7
D

@$7V&3

N


R8=F

K

&3

+ HISI?U

D

C=
=

@:G/

@


>?@5

I 8

AH$8O8

8

@

P


D

D

D

@ I P

Q PA=

D

7  

@B7!&3

MSI @LI?UG

8

>

 %3K@+&3-T @

D

P I E3-   8AH 
D
D

3
<

&3

Ç

w

=

H?P

%3K@+&3-

D

ISI3A=

%3K@+243-,E)U>

^N



I8

$7U 63-E3

D

$8

aN

E8 )>

3

SI

 %3K@+243

D

@+E3-  
D
=
<



N

       


@ I P

7
D

@W8

ND

H !=
D

V

>
D

 -3K@+&3-

D

D N



$I?U

D

   

@T$7K&3

&3

D

7

  


" %    
 > @ D 7 8 ISI?U 8L= 8 A=  5  5 ° 
@ ISI,I P I
ND
ÆÀ MÆ  Ä  P I 

9Q I
@ A=
!; 47 8
$8
+

'

%

 A





6

D

C63

M

?

N

63

3

93-5

" 5

F%=

',3 E3

3

=



3K@+6

-%3

D



$8 U

 

 c‚   
  †  y ˆ‰T’  ½  • >Š YŸ  ‰!¡Š ‰!!‰!¡

'

ÀÀ

@+!3A=

°

LG
E 8

 5  5 
° F=

$7N3A= E3

>
D

243

@ 8
D

 %3K@+&3

@

>?@

=

    ‰!¡



†    “ >Š H‡ ! ’† Š4‰›‡





¥

  

  #  
9" 
    #      "
"
  
 

´

  

  

6!H

3A= @

D

@



'

]

M®

@;VU

ND

¯

 IE3- 
D
D
=
H !=MM2  -@ 3 @ 7

À

'

D N
I 3

D

E8 )>
>

D

D

@,$7N43

&3

( E
@+E3- 
D =

6



I

'

%

H >
)

J@

8

?P 



1

6

7

A

8



6



6



$

$)
1
4
5
(7

8
(

    

;-/+

/+



:%

G G



G G

G

T3

G

3


 " 

G4+S7



G 

D

6!=)E



&3

@8
D

ND

KL

 

@ )U

 -3K@+&3-

ND

D

'
7

@5

%N

G'$7

D

¬
¥ °  ´

 I,=I

7

 

=

¿ #Ã ¿ ¶ Ã
@

D

!=VE


Ä
D

6!=)E


Ä
D



,+

*

!



¥ °

 ´ G

¿ |Ã ¿ ¶ Ã
@

@:G
D

 7¯


6

3

$

D

 %3K@+&3-T=

"

3

5

E8 )>



A

4

 +2 PVPEIS7

+3

¨ ˜‰7Š 1°  +' #
8 Y>
A= @݂ 7

D
#
8 Y>
¾
A= @݂ 7

D
¨ % ŠKœ†}ˆ  ˜‰7Š   °  % •-,
¨ Ä % ŠKœ†}ˆ  ˜‰7Š   ° 
Ä !=)E D @ ¿ S7 Ã ¿  Ã
#Ä  !       " 
# ¨  Šœ>†}ˆ  ˜‰7Š  
# !  Ä      " 
#
# !       " 
# !       " 
# !       " 
!=)E @ ¿ S7 Ã ¿ Ã
D

Ä
D

D



3A=E3



I

'

!

@AP

I<8

:'

6





=

& '   
 u© Q I @ A=
@@ > ?@
¨  ¶ 4‡ š    ‘‰ D    N D ! 
¨69 m ¢ ¶ "$# &% ¿ „@à ¿ Š‘à °  +; (' À 
# !       "   ¶
¨69 m ¢ ¶"$# &% ¿*) à ¿ Š à °  +; +' 
# !       "   ¶



@ I P

6

6

-

-





;-/+

/+

-

6









G

6

ŠKœ†}ˆ  +' 
 ! ’‡?“ % -• ,  ŠKœ†}ˆ  +' #
 !=)E D @
A= @݂ S7
D
 D  !=VE D @
°    ! %Š>œ †ˆ  ‰›Š    ’‡?“
S7
 !Ä =VE D @  D


-





;

6

3

;-,+

-



G&-



G



G



G&-







G



G

3A=



@

3A=




G

6





G 

݂ S7
@݂ S7
D
S7
 !=)E D Ä @
D

3







,+



6

:G

-,+

T3

-

%

•-,  KŠ œ†}ˆ  +' #
;

 6!=)E D @:G  T3 D  6!=)E D @ ¿ -S7 Ã ¿  Ã
3
 
!=VE @ Ä
D
D

¿
¿
6!=)E @ -S7 Ã ÃSG
D
  3 D   6!=)E D @
G

G 



G







' '
À

N



? U
G

‡
#  “ Š 7‰& rŠ   Mˆ ’ —“ >Š  ’ ‰  >Š  Q•#Š † >Ÿ  >‰7Š  œ  šŠ4‰!aŠ ]œ

‰’›Š˜ˆ Š    œ›Š †
’ % ’aŠ
'rŠ 

§  ¨!©
V- !I


7



D

4=

'

8A

P
D

°



5

H 3aI +  
D
D


@

ND

Q I6


(

!; =

@ Q I6

° ¾



5

Q I6

 %3K@C43

D

!; =

Q 

 

D

 5





8

>$@

@

>S@D

'

2A=

>

3

8


D

-MSI @3



>


=

&33

D

I

Q I6
D

D

D


@+63A=



D

3A=

D

!; =

Q 

 

&'

2A=

$7 

° 

8A
3A=

@!

--E

!;CG9 ; 



=

3

L3

D

B

D

7
D

=





D

D

7

@

K

M63

3A=

G

D

9 ;

H >R7 E3

$I?U
3

D

7

 %3K@+243

D

E

5

°

D

@ >

'%
À

7
D

3

N

&3

%

$7

@T3A=

@

¾

8


-

@ 3

@`>
>
D

; ISI> -,63




D

D

&3 3

5

D

-+E

3-



3-

<'=

 ?3 D

M9 I2

È

!; = 4=

H 





D 

@53

43

7

8


D

>
9 I2

D


7

D

D

@CE3-  
D

V$7

243

@! 63

E3+I P

D

D N


Q I

3A=

7

9 I
D



I

!; = 

@+63A=

43!3

%'

>
D

D

@

ON D

D

@`>
D

2%3- 



%3 E

K

D

-

Q I6

D N
D

)U

8=  -

D

<

I 
D

7N3

>$@

@!3
D



G

@+3A=
D

3

D

H 

@a>

%

&3



D

4= 
 
=

G

Q I6

D N



D

9 I2
D

D

@ 3

!; =

<'=

L63-

&3

D

D N

@+63A=
D

%3K@+&3

D

> ?@R

-

H 

      "G

(

À

7



63-;LH$8O8

@+>
D

G

 " 

G 
 G

8=  

¾


7

D N

È

9 I2

Q I

3A= E3P

@+ 
D



D N

°



 13 D
G

 5

$7 

 %3K@+243

D

D



-

-3

È

!; = 4=

@+3A=
D

'

¾

?P 

8L= -

@

63-`>$@
-

(

2%3D



=

5

G$@

@



D

8

5

D

M9 I2

F

A

@


D



3A=

D N

@

ND

_9 I



Q I6

D N

 



I

> ?@

 ,3 D
G

9 I


D

"

8=  



°

@

 %3K@C43-

D

<'=

"



>

>?@
3 

"

    

°



K3

D

7

@+ 
D

3-LH$8O8

8




3A=

  " 
 G ;
 G

 

D

5 5

%3

8A



 


 

G@

H$><7E3

63- >$@

(

'È

9 I2

 5


$7 

3-

7
D



=

°




@Y8

¯

ISI ;
 
D

ND

243


D

AH8L=F3A= E3

!; = 
!; =
AG



>E3A=


H >R7 E3



L=

 %3K@+&3a@

N

¾


7GH > E3A=>;SI I'-3-SISI

8A
7

D

G 

=#

7
D

@+63A=
D




D

D

 " 

G 
 G

-+E

@+63A=
D

5 5 °

@ 8

&3

D

D

?3A=

GK

"

 


AG

5

$7 .   

7
D

>

&3K@+E3



AH$8=F3A= E3

¯

"

5

E8 )>

@;3A=
@ 

D

° 
5

 

@+ 

%3



&'

@+63A=
D

?R63-E3

3A= 

D

@ Q I6

3-



Q I

D N

 @

GK
G@

Q I6

D N

@

D

¾


I

    

D


7

<

 ?>K@C >=G

 +S7

D



 

3A= E353A=

8L= -

&3-

D

P
D

@

D

EH 3

@+3A=
D

'È %
' %'
D

$8

D

$7


-

5

8

E3I P




8L=

;P



H  3
N

893-SP'63 UKK3A=

 

D

@ Q I6
3

8=

9 I2

@+3A=
D




@

-+E

9 I

¾



Q I6
N


"

°

5

D N


°

7

5

AG

=

7:E 8

=

D

G

&3-SI 63T@

1G  !3 D


5 ° = 4=

G

<'=

5 GH

@;

P' I E3
D



893-?P631U



Q 4I  3A= ,
D
3

3K@+S8

ND
<

>?@+ 3A=

 

D

° {¯  D 7 
  5 °  $7 ¾
&' A=
  °
5 5
  5 °  ¾ ¯  D 7
  5 °  ¾
 >
 

 2

EH 3

@+3A=
D

-3- J8



Q 

@+3A=
D

\@

@+63A=
D

I2T2KU>

EH 3

@+3A=
D

3

N

=

¾


Q I6

3A= E3

P' 2I E3-  
D
D
D N

=

%

>$@
;63A=

I'?3A=

#'

@+63A=

%

G3

À

D

D

7
D N

!;

$7GT9 ;
3A=


WI

 @

>


D

7
D

E

8AH 


3-`>-

3

8=  -



37

D
8


D

$7

EH 37

I 3

I

63-



A

=

 5 ¹

>-

%

3



>

 



N

=

4=
>
D

°

8


(

D N

3



4=
=

 5
N

@+6!=&34H 43- I

°



;

=

=

--E

@

8L=

;

=

--E

@

8L=

;

=

--E

@

8L=

;

 %3K@C43

D

8L=  2-

(

D

P

!

 '

7

8A

3A= E3Q

>

8A
N



@3A=

È

@

ND

+AH



GT

D

7



2

G
"

 5

7



7
G

7
G

P' I E3
D
3

D

3A=

D N

@

7

E3

$7


>/UWE

;SI I 3K@

E33A=

I P

I
I

7

E)U

 Â

°

8L=

63

7



EH 3

3A= @

@CE3

°



5

3

H !=
D



>
D

>8

D

-+E



I 3

8 Q63= SI



D

3A=

>?@

K7$763-

 I

D
7

&3 E8 )>

 -%3

G;63

@

@+E3- 
 G'Q 7
D
D
D





D
@

&3

D

;

5¹

>63R3A=

D



7

8=

7



3-SI

D


7

¯

3A= E3+@

8

(
@

ND

 %3K@+&3 

D



$7 5K

+-E

?P


3A=

+-E

8O8OH @
D

  ° :9 <;  E=

´°


=

=

@
D

>2  53A= @
=

>I28

=


3

3K@+S8

EH 3?

7

3A=

D

8L= -

 ¾ ÀG

 8L=  D

A

7

3A= E3P3A=

I

=

:9



I

II ;
 2 
D

ND

° 5
¾  5

4

À
Y8

7

2

@C>$8

H$@

ND

® ¾

D

6369&E



N

 " 


D

IR

È

8L=_I P

 5

8L=

?

@Q

@


D



@+E3- 
D =

%3K@+&3

D

3

D N

I P

>
D

"

D

I



 5

3A= E3


D

>?@K




G

D

ÇH$>$>

D

@

I 3

=

ND

!; = C=

@+63A=
D

K

 %3K@C43

D

    

3

7
D

D

G

(

È D@

3A=

D N

 %3K@C43 Q KU>

D

3A=

8L=

ND



D

´

Q I

D N

>E3A=

@ 8

243

D

$7 N


@CE3- 
D =

8 

 -3K@+&3

%)%

9 I

H ?3A=

I'E3RISI 3A=

73A=

 5 ¬ ¹

D

>

H AGT3A=

7M7$H @+  3A=

D



243

@+E3- 
D =

$7

@+3

 




>
D




D

5

D

 I 7\E 8

@-3


=

>
D

893-?P631UF I % 3
D
=

 

D

63-

@+ 7  8AISI?U+8L=
D

@;ME
D

3A=

D

7
D

8L=





$7

893-Q

>?@

893
3

@

=

3

7

@Q3

@+E3- 
 ;
D
=

893 3A=

--E

W>$@

D

34E

D

8L=
D

P I E3-  
D
D
D N
D

'

3R

D



&3

3



D

>
D

=

>S@

3

@-3

2 

D

:I253

H &3-SI 63= @
N



G8A K< G (
@

3A=
 

D N

893V3

 

D

=

<'=

]

´

63,3

'

8

°




G7
7

>S7$7I

D

5

@ >

%3-2 Y8


D

D

3A=

8L=N


D

6355M>S@A@

D



D

%   '  % $& #    


 







N

-

7G

G= S8=

D

 %3K@C43;;SISI 

D

3

3F3

@

G $7

3A=



6U

7

I2?P

3A=E3






-+E

7

-+?EI

D

63-!AH8O8

 

@4>E3A=


3


H$><7E3
D

--E
 

D

3





'

>$@

'
<

8A

A

>





D

3

> @+E3

&3PE3



4=

=

--SEI

D


EH 3Q

À

>?@Q893- 
D

I P

3QE3`I P

@
8

D

ND


I
I

>S@
`E

D

I?U

P' I E3
D



7


=

>$@

8L=  23A=

3*

@5-Y>I2S8A631U

D

PS7
D

'
@

ND

&3PE3YI P

G163+8A

+SI?UU3K@C P



 

8L=  2->

=

EH 3P E



'

 Â
I
@+

3A=

=

I-3?E3%I P
3A=

 

= 6!=

'

@-3- 
D

@4I P

4=

>$@

3

7
D

8
D

-%=

IV3A=

@

%= S8L=F
K

 ?>V@+ >=

 5¬ ¹

°

@+>
3

(

P' 2I E3-  
D
D
D N

 5
=

'

 Â
I

´


=

È

 %3K@C43

D

°

G EH 3%3



7
D

7
D



IK3
D

H

 @
G

=




D

7

3A=

>$@

Ç

 5

°

7V3

3




+-E

I



9WI-38

E

E U!

$7 

E

E
>$@

3A=

>$@



I P

I

E

E U

D
E
D

9



°



$7 ,563A=

 

 5¬ ¹

´

ND

M® ¾

@;)U

À

;3
3





T3

D

!

5 =B
>

7

E
D



%3

@


3A=

;T3
3

D


D

I8



@-

@+
D

@ I P

&3

7N3

¬ °
5

8L= 2 



D

%3

5 =

8L= K

@-;2

3A=

$ 5



\@

D

@

]
=

' %]¯
(





? UF

N

E3

3A=

@&3



=

D`D

$ 5 =  D 7
 GH N  "$ 5
7F3
 5=
D 

7

D

 = 

7

G 


7F3
D

 

N

D

"



5

°




 

5=

5

5

$

5

$

 

@+
3

D

@

'

>S@YP' I E3
D

À

]

7

&3

¹ ´

@ I P


I[8
D

%3K@+&3

 
"

5G

-3- @-3-

=

3

-3- @-3-

7

=

G$7M3

I-3E)U


"

T>-

--E

 %3K@+&3

¬ °! ¾
5

'$7F+>ISI
>

D



D

 >-

--E

=

3A=
(

3

'$7WI

@-;

--E
=

3



6!H

I

¹ ´
5

$






@-3563-

 

D

D

  

= /P

D

D

3A=
(

=


I

43- 

°!



  "#" G 1G

$7

D

I3

&3-S8AI 3

5

$

³  32 º

P

--E

 5 G  ?3 D

I2%3 8

-;S7



> ?@; P I E3
D

¯



$7 MK


D

43- 

D

$7 ,563A=

@

3

FE3TI

$7

ISI ;
  L
D

3





@-

D

@aI P

8

E=

 

? U

  "< G

3A=

Ç



I P

D

$7

%@ D

=

D

D

893

 

ND

E
>@

,

D

$7  3A=

3A=

')' ¯ 
=

 8

%@ D

%

]

@+E3 I 
D
D

G


@

E= 4=T>$@ D
I

¯

ISI ;
 
D

"



6!H

6!=)E

;63-5

ND

E3I P

D

´  ® :9 <;   ° :9 ;  

 5 ¹



3

=

"


"



G

=


7

 8

D

I2%3TE)UF

7  L3A=

%@ D

E

I P

 5

 5

7

ISI ;
  P
D

'

E
D

5¹

 

5¹

´

=

 5 ¹

´

G

 ¾

@;)U

ND

G3A=

'

 Â

  "#" G

À

>$@

D

E
D

!

T3

%3

D

 5¬ ¹

°

>563A=

´¾


=


D

7

 8

I2%3TE)UF
E

3





7V3

+N D

 Â
I

5¹

 
"

'



>$@

´

G 3A=

>@

 Â
I

3A=8A

$7

M0 4<:<2*5 )



'

7
D

$7 2 >M

E

'

>$@



  "#" G

D

E

>$@

8

LH$8L=F3A=E3



5¹

´ Â
G


D

 5 ;

°

'

¾

!
T3


!

D

5¹

3

7

¾
!



8L= 2 K

7
D

=

3A=



D D

7
D

G



--E



'
À

È

@+

D

 %3K@+&3

7V3

 5  5¬ ¹ 

%3

´

=,

@+;

>

D

D

7

 

8

5¹

=

´

-
=

D

@+

^@

3A=

D N

 5



=

3A=

´ °

@5&3

"

8L= 2 K


D
7
D

7
G



4>+

´ °! ¾

E3%I P



D D

=

+-E

'7N+>ISI %3 5  5¬¹

B A232JA2M!8JH4<=>A' 4<' ; :<JH*846$B 2;*'?`A-@O

,#-    + 

E
D

3A=
(

=

>$@

´¾

3

¹ ´
5

I8



 5  5 ¹

D


D

@ I P

&3

$76I2 @-
3

°



7 I  >3A=
D
A



$

= P

=

&3-  

D
D

+-E

$7 ;;63A=

!

T3

9JI-3 8

G 3A=

¯

 


'

 Â
I

! 5 ;R3 D '

D

 Â
G

> ?@; P I E3
D

&3- 2 

D

E UF

°

@5&3

5



E34I P

-+E

E

=

I P

8L=

" 5

D

3A=


D

@-;

  



@
D

$7

96I2%3,8

  "< G
E

3

ISI ;
  P
D

$7

´

@-

D

7V3

3A=
(

=

$

 

? U


5¹

3 @



D

 

%@ D

Ç

893

%3- @-3-53A=
"


D

Ç

,



D

I P

 5
N

¯

= <

7  L3A=

%@ D


'

]

@+

°!



3


@

E
D

 5 =

º

32




6!H

3

=

G $7\3



= P

 5 ;3 D '$7P-MISI %3  5  5¬¹  ´
>N
-+E
3
  5  5 ¹ ´ = > D M@
D

$7 


´

¯



'

 Â
I

&3- 2 

D

E)U

 

E34I P

-+E

9WI2%3 8
>@

D

" 5

$7

D

¾ ¾


F3

D

$7

°

Â

%3- @-3-3A=

> -

Ç

7V3

+N D

I

LH$8L=U3A= E3

<'=

893



D

I

 Â



'

5¹

7

´
3-SISI

=

&' +' 

 ©  "  " N D @ D 7
H > J@ 8 ?P
 " #" 
7¯
¨ D %œ    ¾  +'  
Ä  !   " #"   D
!=)E @ ¿ #Ã ¿ Ã
D

Ä
#
Y>™°
!=)E @ ¿ #Ã ¿ Ã
D

!=VE Ä @ ¿ (à ¿ Ô° 
D

Ä  !  !    D 
¨  °   + ' #
# !   "  " Y>  D 




  



-/+

3-

%





)

G 1G

4



G G

=

G

  

3-

%





)

5

4

1

T3

5

 <



G G

 <

-



"

G 1G

 <

!

/G

&' +' 
 p©   "  N D @ D 7
J@ 8 ?P
 " 
  7¯
D
¨ %œ    $ +' #
Ä  !   "    D
!=)E @ ¿ |Ã ¿ Ã
D

Ä
#
Y>™°
!=)E @ ¿ |Ã ¿ Ã
D

!=VE Ä @ ¿ |à ¿ ð 
D

Ä  !  !    D 
¨  °   + ' #
# !   "  Y>  D 
,+ .-,+



6

T3

G3-



H >





6



5

T3





1



-



!

G G



,+



;



T3



6

6







G ;G

=



<

G

T3

G3-

/G



T3

6!H
@

]
=

' ¯
]



#$ 

  



  "
D

>

 







 
9$   




  



 


 

@+E3- 
D

'

3

À



D


  
$   


@-


D

7


D

F3A=

-

I P

I
=

 





    
  

 






   
 


 
        
 %
   
' 

§  ¨!©
8

4=

 %3K@C43-

D
-E

8

KU>

3K@+ 8



>$@
D

'$@+%3


3 

893-SP'63 U

 

D

@+

,

3A= 

P

I2M3
D

4=



5

¾

9 I


8
@

'


2A=

>

=





>$@
D

@>

>E3A=GE

3 



"



P

    
     



>

M T3

I 243

-+?EI

D
E

D

P I E3-  
3A=
D
D
D N

>@

L- !I

D

 " 
 <

@

8



@-3
D

-+E

?P

P
D

I2%3AG&563A=

I






H 3 I -  
2%3- 
D

D

  " 
 #"

3A=

@ I P

43

 " 
 K

7V3A= E3,3A=

7

Q

À@




=

&3,AH$8O8


@-3
D



3A=F8A

I

-

@
D

G 

D N

@ I P

I8



--E

=#

G 

E

$I?U!=

D

@


8
3



$7 

>+

°

D

@M63P

U

$7

$7

G



W3A= @


@
D
3-

>I8
H !=>

 

5



D

°

7_E U
P

@+I 


=

R
3

F

7

'

7
3

N

3

D

 @


I  
D

$7

@T3A=

@

 5   5¥

À



>E3A=

=

>

Ä Ä Ä

D


D

W

H 

:@

?P


N



5



1G
"

7
D

D

3A= E3



7
@-3
D



IK3
D

D

D



H >R7 E3
3



3*

D

8

G H &3-SI63@

>I8

3 I

7N3

VU


D



7

63

N

I2%3-

I 3
D

S> 3
=

D N





"

3A=

IE3%3

8=

RQ
MI

D

5

°

+-E

G

'$@C%3Y8A
G

@ 8A
D

3A=

@CE3-  
D

3A=E3L

3A=

7:E U


D

@

ON D
>

D

2%3- 



%3 E

D 

8=  3

 5 " 
  

  =
+@

8

F


@

E3

+-E

5



M

> ?@R

D



G

=

D



@

G13

"

8L=

D





D

<

1G
D

7

7

G _@
<

H T3A=

+-E


3



7

<

@+> E3A=





@-3
D

D

@+;

@

5 = 4=






3

I2'T3

$ISU

  "

3A=
(

=

--E

8L=  2-

-+E

3A=



À

U

D

IM3
D

--E

"



4=

;



 " 


Q
3

'

D



D

2%3D

I
D



?P

@+3A=
D

3


  (?

--E

7

°

F

3A=

D

8

I-3-?3 @+> E3

A



?P



--E

G :@

>S@

3 

7GH > E3A=>;SI I'-3-SISI

D

5

3A=

D N

>E3A=


N




"



Q I6

8L=
G

D

D

D

¯

-2 !I


D

I
D

II ;
  a9 ;
D

ND

  "<U

 %3K@+&3 @

D

'

3

 " 
 <K

AG3A=

Q I

N =

--E



D N

M<

7 

63

63-

7XI%3-L&3

  " K
<

9 I

  " 
 <

> -

5

D

7\I2%3AG H &3-SI

43

8O8OH @+
D



3

@-3
D

(?

5

D

;3A=

E3

43 @

5

?P

;CG $7

À 
 _E



@

8



D

  "<



9 ;;

I
D

 ?>K@C >=G

 5

 

;

'

?R63-E3

D
A

'

3

L3*

BG$7

7
D

@-

+-E

¾
D

5

3A=E3B3A=

--E
"

@C63A=
D

>- !I

D
D

3-P3


D

8OH @A@

$7 !


  " 
 L
3A= E3

I P

8=  +

U>

@

I+8=  

7
D

63A=
3A=

&3

3

7
D

8L= Q

=

=

@+63A=
D

893-SP'63 UKK3A=

>S@D

I2F3

Q I6

Q I

D

7

I

 

D



@QISI13A=

ND

$I?UW@

D



3A=


D

>?@


3

=

I6? U

D


=

D N

D N

@-

35

P
D

>S@L

7
D

3

?->I I @?3A= V3A=


@







I>3
D

43K@CE3

--E

9 I

= ,3

$8

--E

 5




 E


63-I   "<N

3A=

5 °



%@

7JI%3-TE3, HSP

D

3A=E3Q

N =

D

$7 

63!

@-3
D
8

  " 
 <
3





2 63-E3

?HSP

3A= E33A=

A

I

63-


=

@+63A=
D

7
D

D



=

D



I6

P

D N




      
 ¡  
 !! 
 ¡      
 ¡         

       
 
 '          :'   
   
  
    
 

½

7
 

GB3A=



AH$8=

@ >E3A=

   5   5¥

 3L2




D
8

>

--SEI

D

7
D

I

-+E

@-3

 





@

>
D

ON

>$@

P
D

>S@+,I P

I

3*

@

>S@!
3A=



D

N3*

A

3*

3A=



D



D

D

3A=


=













;SISI@

3A=

7

'

'
D
I

7

AH @

 M3A=

?E34I P

I

À

I

!

I2%3E3I P
=





3A=

@

3A=E3

À



7?@

ON

ISI @AU
D

4H 

7

]

3

@

'

$7



7

D

8 P63L= SI

;SI I7

3PE3WI P

D

F3A=

@+

ND

8=  +

> ?@+

3T3

8
D

SI 7

N

E= 4=
I

E3,63? U

893Q
3

>$@

E
D

W>I 3
D

63-

=



(

M$7

>

D N

%

D

D

8 @



I

7

893-?P

 ?>

JH 

 3A=

ON

ISI @AUJ]
D

A=

D

243


=

D

@

D

@APEI

@?3A=
3K@+S8

D N

?@ >$@

HÇ



@+3A=
D

%%



$7

a>E3A=ZE

;SI IE

3*

893- Y
 ]
D
= = =


=

ISISUG/

I2%3-E3=6!=

"



 

'
(



3A= E3

7 ?@


@











; K3A= E3

D

8

3*

7 ?@

P+ !I

G

D

%'

=



D

7







@
D

-3

;CG3A=

@
@

@-3

7G$7
D

@

]

&3AH ISI?UVH?P





A

H EI?U
D

=

7


 '

8A
7



893-?P
3 

%)%



D N

U3A=

I

FA=

ON



A

$7

K>

893- 
 TE
D
D

3*

3



@
D

K3A=

$I?U3A=

D

63

>E3A=

-3-5

AG?@A@

4=

P

À



@
D

H @+3A=
N

$7

D





-S7

D



D

@

3

Q^> E3A=FE

AHI63;


I

 #
      
 
 
5
  #  
    #
    '      
 


 
 

@

3A=

I:G 3

3A=

N

893- Z
 9
D

AG4

D D N

>>J]

@4I P



GB3A=

3-

A

A=

IRE3 I P

Y>E3A=UJE

D

@+ >=ZE U



D

4=
=

;?3A= E3?3A=  I 7 3

@+ >=
E3

KA=

63

I2; '>

@

'

=

@+R2M)U

À
AU

 



M

&3

'

D

>E3A=/G 3A=

À
?>

@
D

I  F3A=
D

=

Q I6

H?P

G $7K3A=

3-

D N

   '   5   5      5       "!


   
       ' 

' 



63`8=

N

=

I?U

893AI +Q 





V

%3K@+&3L

D

@+E3- 
D =

 Â

I

8=  -

893- K
 E3 I P
D

5N3A=

@

'

@ 
3

N

@3A=

ND

=

&3-?@

 -%3-

D


(



@APEI

243

;3A= E3Q

À ^7 D
=

> ?@R

M>W]

8A
D

@

 63

' 




>

D

>?@

   '   5 º  5 »  5    
ÄÄÄ


   
       '



I 3

E3WI P

N

I 8



%= S8L=J8AN3A=



8=  -

+

A=

I

I

@ I P

243

@+7
D

63-

 'S>F@+ >=

=

R3A= E3T8

= S8=

7

@C> E3

>?@

@%I P
7

D

@

@
3

@-3

SI 7

N

@+3

 

8L=

893-?P

ON

893-  
3A=
7 
D
D N
Q

 ?>F@+ >=

 





D

I-3 E3+I P



3A= E3

N

63-

D N

3A= E3 3A=

I2';;3A=
]

7 S@

3*



D

M>



W7

À

D

P
D

8L= -

@53A=

ND

'

893-P
3

893-?P631UF I - 3
D
=



D

     


893-?P



7

=P 


N

 Â

>$@

IE3%=6!=

E







893- >
 
D

D


3A=



I

 


>S@+,W7

@

I P


7

D

8

%3- 


D

>S77$I


I





@CE3- 
 G $7F3A= H ,3
D





P3A=



3A=



 

D

G $7

3A= E3

 %3K@C43PE3WI P

D

=





 

ÄÄÄ

7


D

893AI -



$%&


 '







 

E34I P

I 

3

P

H?P

9

 








 








 



( 

N

@T

 
3



'

'

 


N

'

8O8OH @A@
D



 &
E3

=






 




3A=




@D



' 

G =



'    




 G3A=




3

&3

@APEI



 

 

' 





 #


JI

%3-

L

'

'

D

@

@

   

G 

3

N

 



'







 

E

3-

G










'

8=

I<@

> ?@,

 
    '

 






H 
8

D

U
 

7

(

'&

 !





&

@

ND

 G

ND

G 








G =

&

'    



' 

 !  




@







 

'




N





 '



#  
 
      '


 

D

 '








"



]

>>



'
=

G

7$I?UP >$>I?U 
 


=














   G     '     = ,U
@?
  ' 
 =  UY@ > E3
D
 $ 
3

  
  G N D @ D
 %


@ 
 

  

8L=




3-

D N

' 





  ! #"
 



 

:G

D

D

& '     =*
 

  &


G

347 2%3-$893AG 3A=

D

8AJ@
> E3A=M8


N

893-?P631U

>E3A=G7



'    



D

GH

Q I6

 

'

@APEI

 = =)H


3-2



 --3-

D

243



&

' 

=  P
D

63



D N


=

G

4=

 =
  


@D

ND



D

=

 )( 


&

   

 %








 '&





D N

3-





-

8L=K
H?P



 5 @

 '

   ' 

&





 G

G =





8L= -




7

=





  



A

@ I P

  



3 

&3

D N
'

  



'    

D N



 






4=

%3- 68

3A= E3D



'




@LP I





D



43

$8

@



'

3A=


 

@AP I

  

'

= S8=

D
 +

3A=

D N




4=
=

 

' 

@ 
3

N

3

 63

)U

 

 



D

'



&3

 



 
3



M= /P



3
G/

 #



 AH @
3A=



3

 " 
 



=



=

 

 





%%





D

M>W]


8L= '







    '   '   '      '       "     
       
!  ! 
      !$'  
          
 
 
     

    0 '   '   '      '       !     

!  ! 
      !$ '  
          
 



( 

3






 



;

 '

'    

@

D

=

' = =)H 

 


'

=








' 

893-  ]
D
='= =

>>6]

 '

'

@  
D

 

$I?U

D N

@R
3



9

+>$@

>I8
D



'

&3

; ISI@

D

>>6]

P

7

2

=

'0

4=

D N





I>2 E3
3A=

%N D

D

@

D

 U,+
=

>E3A=



7 



  

E

8

@



$7




3

=

&

  

D

G=

%3- @+3- KE3


 

U3*

A



ISI @AUJ]
D

&

 

3 

. &

@
D

 &

= /P

3A=

 &

@+






=

7

'
 






.


@
3

N

=

8OH 3-?P

 

D

G/

G;63A=

@+>2 E3- 

=

@APEI


=

 & ' 

 D 





D

GH3A=

3-2

D N

>?@)UJP' 2I E3
D
;

 G



8A

D N
7

D

@Q

ND

>E3A=

 +%3- 

3



8L=





H $/ H

D

@+3A=



@
D

+
]

D
=

'

7

 %3K@+&3-

] G

'
(

+
D

E8 )>

E8
<

>

D

&3

D

@%8

$7M]N @

 %3K@+&3-

'

@8

&3

7

@

D

D

 -3K@+&3 @

 %3K@C43-;;63A=

> ?@

%

>?@W

F @

7

ND



H 3TI -  
D
D

@ ISI/3A=

IT/U'

8=



D

>&3-

7
7


=

Q  >$@

P
D

7

>E3A=G






D

@
D

3M

]

@+3
D




 !







 


7G7



+

G1;3A=

H EI?U
D

'

%3K@+&3-

D

I2




7JI%3

3A=

D N

 

3A= @


7
D





'

H !=Z]F-E3-
D

4=
=

7

ND

 

H AG

@QISIB3A=








7
D



  

$7

  
 

3A=


G




@

ND



      ' 
     
   
     %      
            
     
 !             
 &  ( ' 

 






0
=

=

 



=

2



 





(

 

@-3



D

7/G7

3A=

>MM]

H$EI?U
D
8

-

I


893

 

D

I2%35E3 I P

-

I-3?E3%I P




SP

I (



7
7

Y>
D

4=
=

A=

;L3A= E3P)U

D

I2%3;E3 I P
8

I (

'
=



D

I (


2QI

&3

H AGISI3A=


@ 
3

N

8
D

7
D

3*

893

 

7

3A=



893

 

D

'63

D

D



8
D

7

E
D

8

3-

893

G



7F8

3A=

@ 

=Q3



D

3A=



D

63

D

Y>
D

 @



Q )U

=

$7

 

D

Z$7


D N



3A=

D

-

7
D

@APEI

&3
3



N
7

D
E

D

 @

&3

-

3A=

2

N+ !I



=
3$I 

>

#!$# 7^E U%A=&!

' 9;

EA=

7' !()*+,+ -

D

I I EO@L=?>JP 8

D N



.0/3

' 9; 

 

 #( 1:9 R;





'

@%>@
D

.







I !"A=

D N

@O>$@




+




  
       % 
     
          %! (  
    
           
% #


 !              
 
     
   ! 
         !           
 !              
 
     
' %  
 
 












3/



' 92`; /

$'



 


AH$8O8
D

@# 7
>O@

D

'

 

ND

@H



 N

!$7

7
D

D

 !$+@O>


H EI?U


A=L
I  



I  




%

@ A=
D

D

I  ! 7B
!;+

'






'

I


D N

# 7

@@


D

A8L=* !"M EO@L=?>^P 8
I OP I  

I OP I 

'

 N



#O@L

D

!

D


ND

`I OP I  




!7:I  !

?

!6<"=?P!> !

@D

@# 7
D



8=R.

'

@+>@



A=D !#O@
D

!7^7


'-! #E !$#O@AP


I?

D

H EISU

'

I



D N

'

;

('



D



')'
(

%

Q 
+

 ' (  
I IAA=





Q 

79+

>O@

'



'

 
B

I 6#

!$7



D

!7


!$I?U

8

+ =)H8
'



D

D



 >$@
! 

D

D


@

D N

!

7A=



D

'

D

H EI?U



@

%=


' 92


!
D

]+  


ISINA=O/

@# 7B 7



`I OP I


P 7; !KBE
D

H*#

!E6!#O@

I OP I  


! 7O@ !"

92 ; /N





`I OP I 


#O@;6!A=?@&! "!=VE

 !
D


>I  ! 7:6!:A=




9 / / ;96 CAH#I  D !

69FPQ" (/

92`;+

%%



@ GA= ! 7
7
D
D N
N D

I 6! 7

I !"A=

 D N






7
D

8 :
! ]+ + ?+ ?9
D

N

6=F) " 5A=I  #

9I7 ;+ 4= 9 AS7!JS8


' 92





'*!7: &! "!=VE D @  I OP I  
 8  ! -' !$7  '   !$7  '   ! 
C=!  ISI9A=E! D 7 D N I 6#7 7

 *!* #D !$#O@AP

ISIA=+I  #'A= H48 @


?@; 8L=


`I OP I  


9Q I"

#O@

8L=E.


@
D

6!"!I YI  #87




4.



92 ; /

'



92`;

'

! 7O@
D

!K@
D

 !
D


+

@`8

 @! "!=)E
D



.



5/





:'









-2

'



P
; /

I  ! 7

# 


'

    
    
      !    


    
   %      
   
  
 %     
           
 
    
      
               

 
      ! 
  









'

'



$'

 

+

I  ! 

! 
I  

@
D

ISI*A= !


I OP I ( +


%

ISI A@ U6]+ (

D

H @A=O@ A=O@
@
D

I  ! 7\I   -F%=S8L=M8

'

"@

 



>=R


"=?P

>=

!





7 - Y
 8
D

7O>!$7

'

A= P
A=+E

 847 @
#

D

:
A=



D

>-

"=?P( F

D

@ I?UF@


'

= "!=J>@
#

D
D



8

D

E

%8

#




# FP 8




#O@ 

 N

 ??>@"@


F

'

 *! #6!J#O@AP
D

A=

D

!
D

?@P 8=


 A=+@O>

D N

6!"!I J


!4L=


I


A8L=6!"Q!

>=+ 4=)H* $A=%@O>


'

@

=



>


@&A=



I


F)&" 

D

H EI?U

@# 77
D



@O>

?@


]+


%'

H EISU
D



@
D

7  8?P8
N




I  ! 7


Y> U(`E O@A=?>^P 8

! 


@# 7 7
D

?@D 8=


>=+
  !" KN;






?>

 +

D N

 AH

A=Q"!H

P SI?U





 !
D



I

D 

!$8

7 7




!$I?U

@

!J# E


A=RAH$@AP?SP
@

D



#


75A=
D

!





@


!




@LISU(OPO@AU

#

%

D

SEI A=

8O8OH @

ND









>$@

!B)"=SP!

!
D

?

!

D

E


@"

+

E-SI  U



H @

A=

U4!


D


PO@

PO@



H @L8
D

" 8




#

E


E*SI  1U

8L=
D

 8

E

D N



D

PO@


D

D

&! 8
D

ISI 8L=
I
N

>HI @


H*!$7a=

@"


D

D





 8

F  A=


@"

+

IS74F  A=

8OH$I L@ I?U6H*!$ISH$8 )UQ! 7 4= TE UO
D



7

D 

'

!7>


8& !

N

;YPO@AUM>
D



F0A=
D

"+


'*!$7* #

7
D

PO@

"




8 "
! ]+ +  A= F 
D
D

= 



?>



"^I


!>A=





>H$I P
@
@" D !


D



A=;

D

D

7

D 

>


A=O

@L8=G>

K> 8

@ PO@AUMI F
D

')')'

" I


@ H 
D

@ 
N D

@S8OH$I L@ ISU\H!$ISH8


 8 Z
! ]+ + ? A= F 8A=
D
D

D

U



E*SI6 1U+!H#


F)OPO@FPW8
D



!$# 8A=


7JE F) !
D

 !$8%A=J>$@


F


# 7R;


H#

W>
D

@

N

@


!"# G
! 8 !JK@ I 
D
D
D
D

@AH @LP??P

ND

@"  +


8

D N

 ! "!=)E

D N

@


7


= '$@WPO@ D

7 +
D

!:!
D

I


@L8=:




@

ND

@" + 4="!H


@ <A=E! 7
D
D
N D

U_E LA=


>H

D

!
D

@S8OH$I L
@ # @L8=




I6 ; # 7


>H$I @ # @L8L=


D

!$8 !


P?S7
D

>=M" %I  #AI 86!$8 @


A=W7 





>

A=6Y@AH$I +

D N

@ A 
D

7 

?>O"@





>=_>$@


 ! "!=)E

D N

E*SI6 1U+ C=SI  D6'#SISI<>

@L8= BAH8L=

"@

H*# 7\E U

>-S7$I?ULF  A=


D NA

D

D

 ?S>




!$7_PO@ 
! "=?P!:6!
D
E

D

!!$P !
D

!)U I OP I6  !




Y>
D

7 F  A=(A=

>=


`8


@M ;SI &
@
D



>H$I @  U


E*SI  1U:A=


AH$@ !"4

D
D

?>O"@

PO@ 
! 
D
D

`EO@A=?>ZP 8

4=L#

ISINA= !

!$8


D

6!VPO@ I?U4F  A=


 A=+E


!! 8?P  1UX7O>!$7
D

`E O@A=?>ZP 8

D N

K>

I OP I[I  #


A=J>$@


7 @


D

>*
D

I O@
D

D

8

!:A=Y>
D

]+ (


!! 8# 7J8
D

'

'

 *! # !$#O@AP
D

!I?U *! # ISU
D

A=8 ?S>%"@

A=6`8

!$ !)H 7
D



D N

Ha=
D

6!


6!

H$I 8

N

A= !"

D D

!J

%

@

#O@ 

 N





7$7  4
!
D
D

E UR

I I A@ U


7  8AI D
N


 


"@

ISII OP I 


D



!



D

D





a8



'



F 'A=
D

7P !A=8
D

 !$7H$8?P I?UF  A=,+

>$@

A=



D

`EO@A=?>\P 8

#





@ +
D



?>O"@






E-#O@AP

I I # !











> 8# 7







SISI !

 



F
D



A=



KN

¢

¢A'AH;E !"

9.
¢;



*) 



+-, (




A=

8O8OH @
D

¢

&

A=

&
9

&

9 .;

,

/

65







(&
#

%

'

/

/


¢

¢

&

9 .;

,
/ 



 / */ 



D






E*
/

¢



%  4=





!

/ 7J/


/

+
,

*/

¢





+

@

D

¢

ND

@


Ӣ

ISI

!
,

+

@L7$I 




!S7O@
D

+TI 

¢



!$7Q

H >$>

%

+





=

¢



!$7"


#

'


9




II ;


@


>$>


@ 5! D
# 
+

'

+

;

¢

9 .;

;Q 
9 $;

,:, /



¢

$#
/



D

I


D

/ H
/ 

(&

¢


9 $;

ND

&

,

D



(&

@
,

"



@) !


@`I @ "O@

D

E^@ F@ ##!

KU Y>

7


#

 

:

+

8
D

)Y> U+

+

!





9 $;

#

%



I8

#







8

OP!$8A=

#
%




 
 


!

D N5

A=

E  FP ! / / 

'  



   69 $;'F=S8=

E-SI  U


!"
D



PF>$@
D



D N

!! 8 !
D
D

  
N

!
D

%

"

A= 6@ 8OH @A@!$84"

E
D



&
&

*/ 

# 7


S8
D

I I?U


F)OPO@JF))F SISI)H#5A= H$8=  Y>I O@.>$@
D

9 .;

,

(


#
%

D

 A= >$@

9


/





ISH 7


A=&6!  I


D N



'&

ISH !
D



#A=

P


@@ / */ 

ND

9( ;

$#

4=! &

D

I  #&

8L=R I !$


AH @A>$@  !" 8


@LI?U!




!7(S7"=?P




!886,E


ISIB# 8L=! 8


#




@ 8OH$@A@!$8


D





!S7O@
D

 ??>




A=& 

D N

@ 
N D

9 .;

, H



E U"7 *!  B
! +98D 8 ISI8A=
D


9 .;

+

/A"=?P

 , (

@

+

7 +
D

ISI F
D

ND

 ! !"


  69 $;+ 4=

!(A= @ "!=J =

'

D

#



!

7 #

WE A=aI @ "# !$7
@PF%=S8L=

 ND

ISI<@ "

/ F SISI

/



A=


+ :&F SISI!  7

'


/







,2143(3(3

 6
 9 .;

+HKB


@L8L=:>


&   %" 
     !


(

  

"= !JE U

!$7R6'A=)H*4I A=

9 .;#O@

;


/



@"





!Y> U% !  
I #

D

*/ N D

!
D

ISI 


0/


™¢



KN

¢

.

F=!


PO@

(

(

H!7
D

@


 
 




(


/





E*SI  1U


!
D

ISI #!


;8!
D

@


!$7(A=
AH$8L=

D N

E

>$>


N9

6P



:+E

+



D



 

'



9 .;



A=

4=E

!$7@ / */



! H`EO@




F
D




 



 # I

D

H @ @AH$I  =F)a8
D

!"# R
! 6' !VPO@# I?UW>$@ > @ ! ID
D D
D 
D
D

!$I?U
D

F=O@

  

@
D

+

" 8


7
D

F  A=% !$7O>!$7!J >$@

:&F


!


I I OP? #%8 !"# !%F) ISI +
D
D



 
          


PO@


7 E FP !
D



'

>=


( ( 

   


'A=


?>E"@

E


 :
! A=
D



H!$A=E
D



   


P
D

I?>=


@"!H*!J'A=

D

A=







A=

8

>=*'F  A=




H @


ISI F HA= )
D


ND

&






D


!$7R I 6; !



9 $;

F SI I !

"

!
D

D

D

F

+

¢A+KN ¢

|¢
@

D
A=


D

>O@ U
IF


 !"


/

,



F<A=
D

U 



A=!



&

9 $;

9 $;

/ 



@

ND

ISI


&


"

,

¢

9 R
! W>1UO#


¢

"

9 .;






#
/

/



,
#

/

,

,

/

/ 




!

,

6!$8

PO@#6
D



¢ 
9 .;


%

]]
/

3(3(3



#

,

ND

B¢
@

!

"=?P!%A=


3



,

(&

KU Y>
D

ND

9 $;




&

9

; 
,



9


; 
,

/



(&

¢






 (&



/

¢





¢




9 $;




9 $;


9 $;




&

NF); ; 7* # I?UR"


+ THD D  8OI # ! H"!=
D
D



¢

9 .;




,

&

#

,






#

,

¢
/

,
#

/

¢



¢



'&

#









¢









,

,

#

#

T¢

,



$;+ 4=!

D N

S8%E =
@
D



P  @
D D N

H$@4>H @A>
D



¢ 
9 .;

¢

/

¢

&

9 .;

9 .;

ND


@


>$>$@

¢

ISI A+
D 

8=

:¢

@`I @ "

D
)







+

/

A=*  
, (



.

#+



       (    
   ! 
     



   !       
 !    
 
     #"
  

 
     !"  
)   *+ ) 
    
 
 

  
  -  
   

   .  

   
    # 
           #   
  %$ # " 
   &    (' %

     "   
     ,# 
'

# 
  



(

,



!

!

 
GKB 90/2143657 A98H#:?<;=  #?>##><@4A=! ACBDHFE8A=#AGF 6##!@5 H8DA F ! 7JI8KB; LK +

,



+

MK + *F): !DA F 98  #  >H@H8  ! NBOAP=<=4A F #  >H@H8  !  /214365 + 7*Q>9R98  SBTAC>S
#A  ;;  >  !(98@#  >U@H8V;  98BT>9A=W #A   !  /214365 98Q>@
X#E7&!A%!DAZY ) F  98[\ ) 
FE8DA=-8 "P8$86!  /214365  ]8 "P8Q>898 !\ -  +_^ ]BTAP=<=<A F 898 `@ !
;;  > ! 98;#  >H@H8\;  98




A=!=4I@4B- 9   M=A !"98  =<= #A!DAZY A ! 98' !$#Q>9R  =  (  ? +,+ J4B9/ 1ba(cd 1baO?c / / 1ba(ecdD1ba ) c /
BOAC>  =<= ) F  98f )  + Dg@  == 98  1ba(c0E
d 1ba ) cP 98]@GA=;MA=! ;>QhDFVaO;?A=<7=4IM;6IDciACB
1ba(ec !O
Y 1ba ) c +

j 8 Q>   > M$  !DAZY 8 ! 98 8 !$#Q>9R  = +%I49?I ;; #>9I B4HB 98Q>   > (  == #!DAZY 98!
98M;>HAC7  *7 <=  kIR98  >   M=A !"R98   .   +;KB j 7 98M>  !YD=A &R  >   7= 
> Q;> #!$ !"
98& LACB  == #D!DAZY D !M98 !J#Q>HR  = + j 8 !
>9A=

KBE



/





8

,



,:,21



5

> 





.





 > / L
 /




(&


 8





 


$



,

/ L/ 


$




,



98 GFZ; g@#gY  ACB S== $  !DAZYE8  RM8 "P8$  =   # (   !Y  !R"!Q>  =
 @H8 !DAZYF  98*8 "P8J
=   #  8  S8 "P8$  =   #   F  98(6!YQ;!Y!$!;>9AC7  7*=  kI  +


j 8 #  @GA=!6#EAC5B 98@!DAZY 98   >
= QB  98
=  #S= QRg= 7QBOAC>  =<= !DAZYER  ! H8+L^  
98 X8/JX  =9#A M ! 98_;>9AZ@ ]YQh*!gY  ! KN; fK +   !Y F)M8  R / L/ L  !Y 98 X
>    .   +


8 D  



,

,

/ 1









/



CA >@GA=-;  > #A=!B GFZ;Q> !$  = Y   BTAC>998L@GA=!"#<A=! !  #: 4; "C>  ;8 F  98
#A" 98Q>F  98M9898QAC> <@  =  RQ>  "
;>gY<@#gY 7 I j 8QAC> K + K - '98A F !R6!
Fraction of total messages

/

PXD> +
>" K  

1.1
Actual load
1.0 Expected load
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0.0
76400
76450
76500
76550
Nodes

 @9X  =  ! Y G FZ;g@#gY\@GA=!"#<A=!

76600



,21 , ( 0/

DAZY 
!

PXD> K

"

+
,

0
+

76650

#: 4; "C>  ;8 F  98 ( !DA Y8F  98 98
0  + R "5F)Q>2Yg=64RQ>gY
BT>HA=0 @H8 A Y #A98' >" !YL98 @9X =!JX*7Q>
AC BD   "&98D>HAPX"P8    @U8 !A YEF     9XD>gY + j 8 -7?APX !Y =A !> 98%G F ;g@#gY  @GA=! "#4A=!  
@GA=M;X#gY X6!" j 8QAC> K + K +SA# 98  598 7?APX!
Y   IMA R Q> #   #98  @9X  =*GFZ;g@#gY
@GA=!"#<=A !+
"

,

0



1



!


;!



,21 ,

0/

/

 



 !"#%$&#(')"*+-,/.0+1",32(+546#%$2%+7#%$

j 8QAC> K + K  %ACB9  =<=?@GA=!#AP=  4A=!O#AE#A=;!DA Y98  2YD>  F   ;>9AC7  7*=  kI .   ##>  F  !Y
;  > @ 4;  # ! QRQ>9I:#  >U@H8+ AC>9X!  #g=4I99X@U8\Y   ##Q>]YDAR!DA8  ;;! ACBI#!+98Qh*!;98
/

,:,

K

M;?A=#gY\7JI  #  >H@U8`BOAC>  A=!  !DAZY-  @98 ;>9AC7  7*<=6 kI498 
!b
 #  >H@U8b8   @GA=!Y* 4A=!gY A=!:98E7 Q>984; Rg@#AC>ACB  ==A!DA Y ! 98E6!J#Q>9R  =

 (  FE8Q>_- b  AC> -/ X 4R  = !$9=4I 0 !  !  + EA#L98  8 !@@98_@GA=!Y 4A=!* !"-YDA?
!DA !@Q=<XY'98 ;7Q>9*
8 4;-R g@ #AC>LACB J $98 Y Q*h ! 4=A !; !E g@  9X*598  P1ba(ecA i@H8DA=!
>  !YA=-=4I+ j 8   ;;>9AgF    # 98& 9X  4=A !(6!  hDF g(
Y #: 4R
; "C>  ;R
8 FE8 Q>   ;  > <@QX=  '>  > "
I #  >H@H8 @98    I\8  N 7X 98Q#APX>H@ AC'B 98#Q  >H@H8   > f@H8D=A !
  X#gY`BTAC>   ! >
>  !YA=-=4I BO>9=A  98]A 98Q> !DAZY ' !R98"C>  ;8 +
j 8 QAC>  K + K 6M;=   98  N98HGFZ; g@ #gYR  =<X  ACB    !DA MAC> A98  ! .   + ^ !98 BOAP=<=4A F  !"
98QAC> RFP@98DA F 98Y  #>47X <=A !-ACB   Y g@Q=  !)GFZ;0=A !!J  ==4I 7 QIC=A !O
Y 98* !;?=A  !J +
  


 







/





$# !% &('*)+&-,/. 0214365 , 1!74890 ' 7 ,6: 1!7
/ )
  )   / F $ <  7 & @ BG5 , @!HI0J@ 'K& 3 & 5

 !"
, @C





,;)+&('

5

 ( ( <>=
( D
>  
,







0?A@B(C &.
/

!



' 



, @C D E
8 7 & 5 &E

 " !.
/6L
<



 ) b )    !Y=  1baQN
cRF 1ba ) c ) SN  + 8 !(98;>9AJACB ACB
j 8QAC> K + K F)8F <=<=X*# 98 B  @P98  !O iA=!Q98E;  98fBO>9A=,#A  <B  !Y A=!=4I;4B? - !8 "P8$
 !( /E1 3 5   !DA'GFZ@ g
Y gY*7 I%988 "P8$2ACB  !JIO!DAZY )  !TN;+
j AQ M;= <BTIQ98@!A  4A=! =  X  9X@F  98DAPX =4A=SACBH"!Q>  =6 kIR98  1baO cD  98  =<=VU
Q>9ARg@#AC> + j 
8 !L9828  "PJ8 ACB0% !; /E1 3 5  9/ X  = #A982= !"98_ACB 98D !   = ;>QhDFACB Q>9A?
 !(1ba(c  !Y  8  
8  "P$8  =   #  F  98*;>9AC7  7*=  kI  ' +  8 98Q> 98*    !DAPX"P84#A >   #


 '#A;98= Q
R g= AC9B 98  =<= D!DA Y D !TN F <=<=?Y Q; !Y =A !OFS8  D7 Q>984; Rg@#AC>  ;;  >D !
1bQa N
c +
KN 1ba(W
c F (  + j 8 ! `8  8  "P$8 GF  @ 9=4I   !Y 6]8  7JI  !b  #  >U@H8b*X != 
98Q>  8#=A ; ) XN F  98 1ba ) Yc F (  + :F <=<=  > "PX 98  8FE8 !VZ
$ F /[N%/- 89]X \ @  !J9=<I
=  > "*98!M98Q> &6  8  "P8 ;>9AC7  *7 <=  6I;98   =<= 6!   =0;> Qh?F  (   ;;   >  !M1bQa N
ciBOAC>   +
^ ! 986@  #  @  !`=A !=4I  ;;   L
>  ! 98f  ;  98><DB  8  "PJ8    _=   #  FS8 <@H8bA @Q@QX> 
F  98\;>9AC7 *
7 =  kIV=A !=4I  ' +  (
A 4B (   ;;   >     ;> QhFVACDB #=A ;E1ba ) cBOAC>  =<=   98!

 ' + +%=A !JR Q> #g=<I *4B 
 ' *98! (  YD?A 
;   >    ;> QhDF ACAB #=A 1ba ) c!BOAC>
 

!
@B '  ;
#=
A    +
SA F =  2XS@  =<@QX=  #98;>9AC7  -7 <=  6I;98  !A  =<= 9X@U8 ;> QhD?F   ;;   >  !O1bQa N
c + :  > 
"C=
A  !"L#A;98A F 98  '986i;>9AC7  *7 <6=  kI;   DM=A  6L   " ! .   !O
Y #L
A FP! gM
Y #A_@G=A !*<Y Q>!=A !=4%
I 98
M 


KN

ONPF





/





/

,

3(3(3

,

3(3(3

,



/

/



,

/

,

/

^Q_a`$bdcebdfRfRgihjbkl`QgemnQopfq`QrgEsjnQootm o+m uvrgwo+nQgwf xy z+x{`Qrk+`|!}V~Yhogwc$o+`hgws6g€Gh>ot`Qrgƒ‚„ropbd‚wg9otmpy
,:,

0

@

S8 Q>

#F  

L   " !

.





>




  

98 !7?APX!YO LX*#gYR !O##Q;-a K + c  !Y`a K + !c 7g=4A F&+:8  R
!

/

/



1



>  i
) N (  1ba ) c
> i  ) N (    1ba ) c
' 
 >  ) N (    1ba ) c

' 




F





















,

'

,



,



7



 & 

F

'



 & 7 
'





 
 

/

,

L

  "$"
L

  " !

.

.


7



 & 

F

'

.




.

'


.


'

.
,

"!$#

&

aK + c
/


 L  " !.  .
&

F

 L   " ! .  . 

7






 L   " ! .  

7

&





7

&

F

.

7

L   " !.
L   " !

 " !
/6L

.

.

aK + c
1



 &%('*),+  -% /.0%(132+4+(576 -598

: 8  R YQh*!gY

Y   ##>HX@9X>'9849:?4; "C>  ;8!BOAC>fY* ##>47X#gYY   ##AC>%98 
8  M#QRQ>  = Y4>  7= *;>9AC;Q>  + +%A=!##>HX@ !"D !Q> !" ! F !DAZYQ !$#A  !Y #  >H@H8* !"
!
#: 4;R"C> ;8@ !*7Y=
A !X  !"; -;=   !Y(#>   "P8$#BTAC>F  >HY  = "CAC> 98*; +) :?<;R"C>  ;8  >



8 "P8=4I>=  !$ #AP= Q>   !"  =  > "LBO>  @ 4=A !MACB?B  <= gL
Y !DAZY AF  98APX =4A= !"]@GA=!!g@4R? kI+ 
 !"
98 >Q;  4>Eg@U8  ! O%*Y  #>HXD*; 4=A ! #A 98Y   ##>UX@ 9XD>  @  ! 7 *> Q;  4> g3
Y  ! 98  7*!@
ACB  YY 4A=!  =LB  X=  +  : 4; "C>  ;8   6= #>
A 9X;;?AC> M>  !" /JX Q>  FE*8 <@H8  =<=4A F  !BTACQ
> GF  -;= 


! F

,:,



>H@U8 !" BOAC>  @GAC;JIACB  >#APXD>U@L!  >  ;  ><@QX=  > =4AZ@  4A=!V7 IX6!"E98M=4AZ@  4A=!  ]=4A FRU
AC>HYQ>Eh g=<YO !M98]:QI  !Y[@Q=<X##Q>6!"_ACB9!A YF  98O ;=  >!:QI? +
GF ;=   !gQY  ! ?g@4A=! K + K DA=!69X 98  L>   !*P#AM7  YYD>#gYM )98]=  >"!JX*7Q>
ACB ;?=A  !$#Q> i; Q)>   @U8  !8 !%98#I ##O+ ^ )F%APX=<Y 7  !$#Q>#6!"@#AMY "=!  ; Q>iU#AGU ; Q>D#I wU
# 98 '
 !$  ! IB  F)Q>!;0=
A 6!J#Q> i; Q)>   @H8  !  !YfI '9XD;;?AC>P#;    ==4AZ@  =  kI+ = #A #: 4;



"C> ;*
8  YDA !DA AGFZ;=4=A  A! FiAC>9:M=4AZ@  =  6Ifa 9X@H8   AC>i=  #!@GI  =4=A !"#>  !*; 4=A !;  98Uc !M=4AZ@  U

4=
A !_ACB0> #APXD>U@   !
Y  AF%APX=<Y
7 6!J#Q>  !"8#A#9XYDI; Q>9BTAC>   !@ !7 !Qh A ! 98  Y<> g@ 4=A !
;Q>H8  *; !7 I X 6!"X= VUkY  !*4=A !  = #: 4O
; "C>  ;*8  +!DF  98[A 98Q>SA R Q>H=  (
I ! FiAC>9:    DF%APX=<Y
7 !J#Q> # !"O#AR#  8DA F 98;! F%AC>9: ; Q>9BTAC> ;8 ! 98M;> !@ MACB%%I  !J6!-B  <=<XD> + VU
! =<=<
I   F%APX=<Y7 LX #QB XJ= #A]Y QR g=<AC;  -AC> \ @  !$ > Q;  49> g@H8  !   !Y  #g=4B U #  *7 =   4=A !

g@U8 !  #A-> Q; 4>2
Y QIB g@ 4R @#?: <O
; "C>  ;8  +


#







,:,




 
        ! " #$&% !' 
)(_@GA+*@Q=<XY,(.-/*10982-/3E@H824e;205(Q> 7 I639X27 7 4e>8-:9;-/*,<_APXD> @GA+*=0#>>-<7X,0?-4A+*23;@@GA+7M;A4e>>-B*,<MAPXD>C4e;;>9A+4C@H82(;3

D :- 098 AE0982(Q>E@GA+*=05(;7-;0AC>84e>9I ;F(G(Q>lUH0#AGU ;F(G(Q>C3#II3?05(;7 3G@A4E*Y[YA-/39@QX23?3>-/*,<J3#A+7K(AC;L(;*
4E23 B X,09XD>>( YA-4>?(g@M0?-4A+*23!BOAC>2>?(;3?(;4e>H@H8ON

;>9AC7=:(;7

34E3 D (g=<=

PRQ ! S$TC(U '*),+JVLW?TXUJV
j 8,(Y098,(;3?-/3
ACBZ098A-/3>>(;35(;4e>H@H8[-/3.09824\0J(\ @G-:(;*]0G@ B^4CX=:0wUH0#AP=:(Q>>4E*]0G@ Y,(g@M(;*]0#>>4C=/-/9G(gY`;L(G(Q>iUH0#AGU ;L(G(Q>K3#I_3wU
05(;7 M3 @G4E* 7L( 7X2<- =:0 XA3?-/*,V< Y2-/35#0 >><- 7X,05g( YbYA4\0?4`3?0#>HX@M09XD>?(;3.09824\0M@GA+*23?-B350ACBX-/*Y2-<RI-<YX24C=a@ X2*>?(g=/-/4e7=/(
@GA+M
7 ;?A+*,(;*]0?3GN )M( ;>?(;3?(;*=05g( Y`0 D A Y2V- LQ( >?(;*]0 YA4\0?4b3?#0 >HX@M90 XD>?(;3X90 824\0R( \ @G-/(;*=90 =4Ic7 4E*24\<EM( >?(;#3 APX>H@M(;3
D 82- =:( ;>9A R_<- Y2-/*2f< B^C4 X=:0R#0 AP=:Q( >84E* @M(E@d7e4E-/*=0?4E-B*2-/*,<14 YDI_*24E7 - @f*2(G0 D AC>9:g@h4E* Y)93 X;;?AC>?0?-/*,< @GA+M7 ;=:G( F
i X,Q( >>-:(;3GN  =:90 8DAPX,P< 8j90 8,Q( >?(ke4 >?(k350?<- =<=35Q( REQ( >>C4 =%AC;L(;`* ;>9AC7=:(;7 3.-/*j90 8,(be4 >>(;4_@ D f( 7Lg( =/-:Q( RE(Y90 824\0J90 82-/3
>?(;35(;e4 >U@H8 D <- ==D;>9A RI<- Y2(C*,( D -/*23?-/P< 8=0?3 D 82<- @U8 D - =<==:(;C4 Yb#0 Af90 8,( Y2Q( REg( =4AC;A7K(;*]!0 ACBlM
7 AC>?(R#3 AC;82-B350?<- @G4\05g( Y
#3 I_3505(;7 3Z4E* Y6C4 =:C< AC>>-:90 8A7 3GN
)]( @GA+M7 ;Ae4 >>(m90 8,( ;LQ( >9BTAC>87 4E* @M2( ACB APX>ne4 ;;>9A+C4 @H8,(;3 D -:90 8Y#3 A+7K( AE90 8,Q( >!@GA+*=05(;M7 ;?AC>>e4 >HI-;L(GQ( >iUH#0 AGU
;L(GQ( >#3 II3?05(;7 3o-/* j e4 7=:(qpIN N j 8,( =4A AC: X;Y0?-/7 E( BOAC>oC4 ==A90 8,( 8Rr j 93 II3505(;7e3n-Bi3 =4AE<+e4 >8-:90 827 <- @C4E* Yb90 8,(
-/*23?Q( >?0s0?-/7K(X-/3t4\0oM7 A+350 ;?AP=4IZ=4AE<+e4 >>-/90 827 <- @o-/*K90 82(C* X27 7LQ( >ACBu7eC4 @H82-/*2(;3tv)N AC>%APXD>e4 7A3?#0 >>C4 @M!0 8Rr j
7 AZY,g( =h4E3 D g( ==s4E3q#3 :I<- ;`C< >8e4 ;823G@u3?-B7 <- =/e4 >S70APXA* Y23Xe4 ;;=4I 7X,0X-B*c90 82( J* X27 7LQ( > ACB >?(;#3 APX>H@M(;3RwsN X3
M
=4A+*,<K4E3mwx-B!3 ;0AP=<IID* A+7e-/C4 =g-B*Yv)@ D (y<E(G0Z90 82(y3?4E7K(y4E#3 I_M
7 ;2#0 AE0?<- @ ;LQ( >9BOAC>>7 4E* @M( BOAC>mC4 =<=L90 82(y#3 II3?05(;7 3GN
( Rze4 >9I)C< >>(;4\90 =4I BT>HA+7{#3 I_3505(;7|#0 Ac#3 I_3505(;71N $-:90 8
j 8,(Y#3 ;AC4 @M( >>( i X2<- >?(;7K(;*]0?3 BOAC>.7 4E-/*]0?4E-/*2-B*,<6350?4\05f
v&7 C4 @U82-/*,(;3}-/*x90 8,(e*,(G0 D AC>H:g@!~ 8DAC>UYO@l€h4E35#0 >9IE@h4E* Y j e4 ;L(;35#0 >9I >?( i X24- >?(e- a =<AE<v cR#3 ;gC4 @M(e4\0}(;C4 @U8
,

,:,



I(;4e>H@H8 ^ *235(Q>?0 Z;A4C@M(;L(Q>  ;A4\0?-B4C= j AC;0AP=<AE<CI
7 4C@H82-B*,( =4A @G4C=B-:0kI 4 D 4e>?(;*,(;3?3
j -/7 (
j -/7K(
~L8DAC>HY
 a =4AE<t v c -a =4AE< gvc -a =4AE<vc SA
SA
~ p
-a $+v . c -a $Zc
 a $ c SA €h4e>?0?-/4C==4I
a $-:098 $ F =4AE<vc
 a =4AE<tv c -a =4AE<vc -a =4AE<vc
€h4E350#>9I 
 a =4AE<tv c -a =4AE<vc -a =4AE<vc SA €h4e>?0?-/4C==4I
j 4e;F(;3?0#>9I p
X-@M(Q>9A I 
 a =4AE<tv c -a =4AE<vc  a c SA
SA
S7A350#>>4C@M0 8Xr j 7-A Y,(g= K - a =4AE<w c  a =4AE< w c  a =4AE<tw c
SA
SA
 :_-4;k<C>>4e;8 p
 a =4AE<w c -a =<AE<w c  a =4AE<tw c t(;3
SA
j 4e7=:(XpIN ~!A+7M;A4e>>-/39A+*MACB ;L(G(Q>iUH#0 AGU ;L(GQ( >o93 II3505(;7e3GNhv-/3098,(C* X277F(Q>iACBu7 4C@H8A-/*,(;3n-/* 098,(X3#I_3505(;7
D 8,(Q>>(;4E3w -/3o098,(}* X277L(Q>LACB >>(;#3 APXD>H@M(;3GN
7 4C@U82-/*,(f-/*6098,(J*,(G0 D AC>9: R-<@MQ( >9A I 0?e4 :E(;3q-:E0 A+*,(J3505Q( ;VBOX>?90 8,Q( > 7JI[>?g( YX@G-/*,< 90 8A-/23 >?( i X2-4>>(;7K(;*=0C0#A
-a c8No~   >?( i X24- >?(;3- a $Zcn#3 ;AC4 @M(q4\0o(;C4 @H867 C4 @U82-/*,(EN ^ * @GA+M7 ;Ae4 >>-B#3 A+*O@_#3 :I<- ;bC< >8e4 ;82%3 >?( i X24- >?(X7 X@U8
7MAC>?(q#3 ;gC4 @M( D -:90 8bw >>(;#3 APXD>H@M(;3-/*b90 8,(q#3 I_3505(;7 3;@I(;C4 @U867 C4 @U82-/*,( >?( i X24- >?(;3- a =<AE<w c#3 ;AC4 @M( BOAC>-&l, 7
>?(;#3 APX>H@M(K90 824\0}-:0 8A+350?3GN )( Y2-B93 @QX23?3 ;?A+3?3?<- 7=:( YA4- >?g( @M0?4- A+*23 BOAC>>?g( YX@M0?4- A+*)-/*)#3 ;gC4 @M( >?( i X24- >?(;7K(;*]0?3
D 82- =:S( >>(G0?4E-/*2-/*,<K#3 ;g4\0?-/C4 = =4AZ@GC4 =/-:60 Ib-/* _g( @M0?4- A+* pIN N
( ;>>-/7 e4 >HI`Y2V- LQ( >?(;* @M(;_3 7L(G0 D (G(;* 90 8,( R\e4 >>4- APX23K#3 I_3505(;7 3Ye4 >?( 35(;*A3?-:0?4- R_-:k0 Ij#0 A #0 AC;?AP=4AEC< I 4E* Y
j 82[
93 XD;;0AC>>0 BOAC>93 ;A4\0?-/C4 ==4AZ@GC4 =/-:60 IEN C3G( F ;=/4E-/*,g( YK-/*b!~ 82e4 ;205Q( > @ 7?AE90 8Y~  $4E* Ye€h4E35#0 >9I j e4 ;F(;3?#0 >9I e4 >?(
;Ae4 >?0?-BC4 =<=4IK35(;*23?-/0?4- RE(m#0 Af#0 AC;?AP=4AEC< IEN j 8,(C#0 AC;?AP=4AE<+<- @GC4 =<=4IU 35(;*23>-:0?4- RES( @GA+*A35#0 >HX@M0?4- A+* ACBu90 8,(y~   A REQ( >H=Bg4 I
*,(G0 D AC>9: H3 XD;;?AC>?0?3 ;>HAgF,-/7 -:60 I>9APX20?-/*,<,@ 7X,0-:0 8A4E3t90 8,( Y2-/3?C4 YDR\4E*]0?4\<EE( ACBOD* A+* UkX2*A4- BTAC>87 ;0AC;X=/4\0?4- A+*
ACBF90 8,E( @GA AC>HY2-/*24\05(Z93 ;AC4 @M(E@]4E* YK-/0t-/3sD* AE0 @GA+M
7 ;=:(G05g( =4IJ35g( =4BUk@GA+D* h2P< XD>>-B*,<,N %AE90 8e€h4E35#0 >HIJ4E* Y j e4 ;L(;35#0 >9I
(GFD@Q=<X23?4- REg( =<Ib;>9A RI- Y,(Y90 82( ;>9A F_-/7e-:k0 I *2(;-:P< 8 7?AC> 35g( =/g( @M0?4- A+* -/* C4 =<=o90 8,(693 II3505(;7e-3 Y,Q( REg( =4AC;Lg( Y #3 A B^e4 >;@
C4 =:90 8DAPX2P< 8c90 82Q( Ic#0 A A D (;-:P< 8 ;>9AEC< >?(;3?3q-/*c90 8,( <- Y2(;*=0?4- hAQ( >X#3 ;gC4 @M(J4\<+4E-B*2350q90 8,_
( 7L(;*,Q( h20?3R-/* =/4\05(;* @GIAC>
;8JII3><- @GC4 =?Y2-/350?4E* @M(EN j 8,(;35(q#3 I_3505(;7 L3 @G4E* @U8DAJA+3?(q90 8,( 7F(;3?0o*2(;-:P< 8 7?AC>4E!3 ;LQ( >90 8,( ;>9A F_-/7e-:k0 Ie7 (G#0 >><- @
4- Bs90 8,(J(;*]0?4- >?(fv =B4\05(;* @GI ;>9AgF,-/7 -:60 I 7 4\#0 >>4- F*BTAC>qC4 =<= 90 8,(fv7 C4 @H82-B*,(;3C-B3X4 Rz4E- =/e4 7=:( aOAC>]7JI*XA3?-/*,<
#3 A+7K(C( \ @G-:(;*]i0 8,g( X>>-/350?<- @G3s-B*K90 8,(Ce4 7g35(;* @ME( ACBO90 8A-/3t7 4\#0 >>4- Fc8N ^ 0-/3 XA* @Q=:(;e4 > D 8,(G90 8,Q( >90 8A-/3t-/390 8,2( 7L(;350
e4 ;;>HA+C4 @H86#0 A AC;20?-/7 -:9G( ;>HAgF,-/7 -:60 I AC>m<- Bd-:L0 @G4E*
* 7F(q(;4E3><- =4IYe4 ;;=/-:g( Yk#0 A-AE90 82Q( >m#3 I_3505(;7 3GN
0 ACBEAPXD>M:I* A D =:g( Y2<E(E@#3 :_4- ;jC< >8e4 ;823Je4 >?(k90 8,( h>>35_0 Y24\0?4x35#0 >HX@M90 XD>?(k90 824\0K7 4E-/*]0?4E-/*
j Ax90 8,( 7F(;3?

#3 ;A4\0?-BC4 = =<A @GC4 =/-/k0 IEN j 82-/3b*24\90 XD>>C4 =<=<I (;* 824E* @M(;3k90 82(x-BM
7 ;?A REQ( >>-/H3 8,g( Y i X,Q( >9I =/4E*,P< X24\<E( ;>HA R_<- Y,g( Y 7JI
,(;7K(



D@H8


 ,:,















 ,








,


 




 



,

,





,







,:,



8Rr j 37 I 39XD;;0AC>>0?-/*,< @GA+7M;=/(GF 35(;4e>H@H82(;3f3HX@H8 4E3
>>4E*,<E( i X,(Q>8-:(;3}4E*Y *,(;4e>J7 4\09@H82(;3J0#A`4*:E(QIEN
 :_-4;7C(G0e-/3Y4E*DAE098,(Q>k3#II3?05(;7 D 82-<@H8 ;A4e>?0?-/4C=<=<I 39X;;?AC>?0?3e3#;g4\0?-/4C=E=4AZ@G4C=/-:06IE@09824\0 D 4E3 Y,(QRE(g=4AC;L(gY
-/*Y2(Q;F(;*Y,(;*=09=<IM7JIkrC4e>HRE(QI &(' ,6: < 
 p  NX 3098,(;>>-/7 4e>9Ie<CA+4C= ACB  :I-<;7m(G0-/3o0#A ;>9A R_-<Y,(];g4\09864E*Y
,

@GA+*]05(;*=0 =4A @G4C=B-:0kIE@A-/02YDA](;3m*DAE02@GA+*@M(;*]0#>>4\05(A+* BOX==VU 
 g( Y,<E(gYk3#;A4\0?-B4C= =4AZ@G4C=/-:0kIEN

U 5OT ) V
PRQ
RE(;*J098APX,<P8
;F(G(Q>lUH0#AGU ;F(G(Q>t39II3505(;7e3 D (Q>?(-/*]0#>9AZYX@M(gYA+*=4I}4 B ( D IE(;4e>>3t4\<CA,@+098,(QIf4e>?(*DA D A+*2(%ACB
098,(yM7 A+3?L0 ;0AC;X=/e4 >%^ *]05Q( >>*,(G0Ze4 ;;=/<- @G4\0?-4A+*23n4E*Y[824 RE(7L(g@GA+7K(y4K7 4 #AC>Z3#APXD>H@M(]ACB ^ *]05(Q>>*,(G00#>84G\ @\N
t4e>>4- APXA3 Y,(;3?-:<+*A]3 82g4 RE( 7F(G(;* ;>9AC;?A+35g( Yx#0 A -/M7 ;=:(;7K(;*]0RH3 X@H8 93 II3505(;7e3]7X,0y4 =<AE0y350?-<=<= >?(;7 4E-B*23R0#A
7L( YDA+*,(EN )(.(;* Yk90 82-/3o90 8,(;3>-/3 D -:90 814 =/-/35%0 ACB AC;F(;* ;>9AC7=:(;7e3n4E* Y6D* AE05(y90 824\0C-:07KQ( >?g( =4Ik7K(;4E*]0Z#0 A
7L(q<- =<=<X23?#0 >>4\0?4- RE(E@,D* AE0G( FD82C4 X2350?4- RE(EN )(}C4 =/#3 A D* AE05(q90 8A4\0 D ]( BOAZ@QX2L3 A+*6-/3>93 X,(;!3 Y24- >?g( @M90 =<I >?g( =/4\05g( Y6#0 A 90 8,(
>?(;93 X=:0?3-/* 90 82-/3 YA-/3?35Q( >?0?4\0?<- A+* 90 82-B3t-/3* AE0-/*]05(;* Y,g( Ye#0 A.-/M
7 ;=4If-B* 4E* I D g4 Ie90 824\0 >?g( =B4\05g( Ye#0 AC;A- @G393 X@U8
4E3m3?g( @QXD>>-:60 IE@24ED* A+* I_7 -:60 IE@g4E* Y >>Q( ;=/<- @G4K7 4E*A4\<E(;7K(;*=0Ce4 >?(}4EJ* I =/(;3?3Z3?-:<+*A4- h@G4E*]0GN
















, + #46, ",+ #

^ *)098,(e3#;L(g@M0#>HXA7 ACB!@GA+*]05(;7M;?AC>>4e>9I ;L(G(Q>iUH0#AGU ;L(G(Q>.39II3505(;7e3G@08Rr j 3}4e>?( 4\0A+*,( (;*Y D 8,(Q>?(K098,(QI
7 -/*A-/7 -:9G(J09,8 (k350?4\05(f>?( i XA-4>?(;7K(;*]0}4\0f(;4C@H8[*DAZY,(E@d4E*Y 3#:_-4; <C>84e;823}4e>>(Y4\0f098,( AE098,(Q>f(;*Y D -:098
39XD;;0AC>> 0BTACo> 3#A; 4\0?-B4C==4AZG@ 4C=/-:06IEN~o4E* D ( Y,(;3?-:<+*Y4.3#I_3505(;709824\0%;>9A RI-<Y2(;339XD;;0AC>>0BTAC>o3#;A4\0?-B4C==4AZ@G4C=VU
-:06I 4E*Y 2X *2-4BOAC>> 7 =4+A 4CYVA7 4C/= 4E*G@ -/*2< D -:098AP,X 0C(GFDM@ (;3?3?-<ER (J3?0#AC>> 4\<E( 3#A; 4CM@ (K4\0R(;4C@H)8 *DAZ,Y (5)(
AP2X 09/= -/*,(
3#+A 7K(E;0+A 3>3?-47:= (!2Y -4>> (gM@ 0?-4+A *23s0#}A 39AP=4ER (Z0928 -/3;>9AC7:= (;7 ACOB 7 4E-B*=0?4E-/*A-/*,< =4A G@ 4CB= -:0kI
7,X 0 ?> (gYXG@ -/*,<q09,8 (C350?4\05(
-/*DBOAC>> 7 4\0?-<+A *14\0Z(;4C@Hc8 *DA 2Y (EN

,* ( D 4gIk0#AM>?(gYX@M(q0982(y350?4\05(}-/3n0#A-7XA-<=<Ye4K39:I-4;k<C>>4e;8[7JIT. 1 : 0 ' ' 0@3
5 , @3 &.%ACB >?(;3#APX>H@M(;3Z4E*Y YA-/350#>>-47X,0?-/*,<y0982(;7 0#Ae7 4C@U82-/*,(;3L;8 I_3?-<@G4C=<=<I @Q=4A+35(q0#A-A+*2(y4E*DAE098,(Q>;N AC>
(GF,4E7M;=:(E@n-4BZ098,([>>4E*2<E(fACB :EQ( I_3 -/3 4 UH9 @n90 8,(;* D ( @GAPX=<Y 4E3?3?-:<+* 4UH( 0#AbA+*,(17 4C@H82-B*,(E@ BU - 0#A
4E*DAE098,(Q>Z7e4C@H82-/*2(E@_4E*Y1#3 A_A+*ON j 8,]( =/-/* :I3#0 AK*,(;-:P< 8J70AC>83n4\20 =<A D Q( >2=:Q( REg( =/3*,(Gg( YkD* AEL0 7L(R7 4E-/*]0?4E-/*,(gY
4E3.098,(QI D -<=<= ;?A+-/*]0y#0 A`90 8,(Y3>4E7K(Y7 C4 @U82-/*,(b4E3}90 82( A+*,( A+* D 8A<- @H8 90 8,( >?(;93 APXD>H@M(Y-/0?35g( =4B-/3}3?#0 AC>?g( YON
 8,(;*k4 ;ge4 >?0?<- @QX=/e4 >o7 C4 @U82-/*,(R<E(G0?!3 A REQ( >U=4A+C4 Y,g( Y D -/90 8e#0 A A 7 4EJ* I >?(;#3 APX>H@M(;3o-/*k-:0?3oC4 =<=4AZ@G4\05g( Y >84E*,<E(E@
-:0 @G4E*Y#3 ;A<- =<=JA REQ( >nG( FD@M(;3?i3 =<A+C4 YMA+*=#0 Af-:0?3s*,(;-:P< 8J7?AC>>3GN  ;=/-/050?-/*,< >>4E*,<E(;3 A REQ( >n7eC4 @H82-/*2(;3s90 824\0e4 >?S( @Q=4A+35(
!#" ! %$'& ( e)(+*









,-,








0#AE<E(G098,(Q> D -/098*>?(;39;F(g@M0X0#Ak*,(G0 D AC>9:=<A @G4C=/-/0kIE@?@G4E* >?(gYX@M(.098,(A RE(Q>H8,(;4CY ACB3H82-4B 0?-/*,<->?(;39APXD>H@M(;3 AC>
098,(;4- >CC4 YYD>?(;3?3Z(;*=0?4E-<=/(gY[7JIb0982-/3m7K(G098DAZYO@24E*Y @G4E* (QRE(;*8,(g=<;6-/*17MAC>?(y(\ @G-:(;*=0C*,(G0 D AC>9:Uk=4A @G4C=B-:0kI
>9APX,0?-B*,<,]N ^ 0 D APX=<Y7L(f-/*]05Q( >?(;350?-B*,<Y#0 A63?(G(J<- Bt0982-/3X-<Y,(;4 @GAPX=<YV7L(
BOXD>>098,(Q> Y2(QRE(g=4AC;L(gYO@?;0AE05(;*]0?-/4C=<=<I
X23?-B*,<K#3 A+7K( ACBd90 8,(y05g( @U82*2- i X,(;23 X23?g( Y1-/[
* UH#0 >?(G(.D* AZY,(y3#;=/-:0?3 0#Ae7e4E-/*=0?4E-B*[=4A+4CY[7A4C=/4E*@M(EN

 ,
 

j ,8 (Z(;4e>H=/-/(Q>n4e;;>9A+4C@H8b7 4E-/*]0?4E-/*23098,(E7A4E3>-<@m3#:_-4; <C>84e;8
350#>HX@M09XD>?(k4E*Y 0#>8-:(;3f0#Ax7e-/*2-/7 -/9G( 3#;A4C@M([X23?4\<E(EN X*DAE098,(Q>_;>9A+39;F(g@M0?-<RE(Y4e;;>HA+4C@H8 D APX=<Y`7F(Y0#A
>?(G0?4E-/*e098,(m350#>UX@M09XD>?(2ACBu4 8Xr j BTAC>%=4A+4CY-A7 4CB= 4E*G@ -/*,<,@=4E*Y 098,(;*Y4CYY-=4AZ@G4C=/-:06If0#A.0982-/3GN )(R3?4 D A+*,(
05(g@H8A*2- i X,(X23?(gY*BOAC>X4E*A3 D (Q>8-/*,<Y4e;;>9Ag,F -/7 4\05(
>> 4E*,<E( i ,X (Q>> -:(;3C-/*`~!A8 4e2; 05(Q>  7 I  XD2; 0?4 &' ,G: < 
 K  @
D 82-@H8 >?(Q;=B4C@M(gY @GA+*23?-/3?05(;*=02824E3H28 -/*,<,@_0kI A; -<G@ 4C==4I 2X 3?(g6Y -/* 8Rr j 3G@ D -:098[=4AZG@ 4C/= -:06;I U 3?(;*23?-:0?-4ER (]28 4E3H28 -/*,<,N
I 0#1
A 4E*23 D (Q> i 2X (Q>> -:(;3
j 82-B3C7K(G098A YV@GA+7M;>9A+7e-/35(;3 +A *V70EA 098 =4+A 4CYVA7 4CB= 4E*G@ -/*,<b4E3 D (g=<d= 4E3R09,8 (K4eA7 -<B= -:0k1
& ? ,(' : H N^ 0 D APX=Y L
7 (q-/*]05(Q?> (;350?-/*2<f0#A 3?(G(}-4uB 09,8 (Q>> (y-/3o4M28 4E398 B 2X *M@ 0?-4+A *b0928 4\0E@GAPX=<b
Y <+-4ER (]7?EA 09k
8 <CAJAZY
=4A+4CY[7g4C/= 4E*G@ -/*,<K4E3 D (g=<O= 4E3m<CAJAZY =4AZG@ 4C/= -:06I ;>9ACL; (Q?> 0?-:(;3GN
 ! M





& +(ej




   

(

 4*+7 +1 , $2%,32(+

8Rr j M3 A+*=4I 93 XD;;?AC>?0f(GF_4C@M0Y7 4\09@H8,(;3e0#A

4 :E(QI[0#A\=4AZ@G4\05( >?(;3#APXD>U@M(;3GN )(*Y2-/39@QXA3?35(gY[3#A+7K(1(GFU
05(;*23?-<A+*23Z39X@U8c4E3m098,(XA35(ACB 7=4A A+7 h=/05(Q>>3Z4E*Y=4A @G4C=B-:0kIU 35(;*23?-/0?-4RE(824E3982-B*,<K0#AY-/7-;>9A RE(.35(;4e>H@H82(;3
-/*-8Xr j 3f-/* _(g@M0?-4A+* N  N NxrSA D (QRE(Q>;@t90 8,(;35(k-/M7 ;>9A RE(;7K(;*]0?3fe4 >?( A+* =<I 7 e4 >?<+-/*2C4 =4E* Y * AE0 REQ( >9I
(L(g@M0?-4RE(BOAC>E@GA+7M;=/(GF i X,(Q>>-:(;3;N
 :_-4;k<C>>4e;8A3L>?(Q;>?(;3?(;*=0Z4E*6-BM
7 ;?AC>?0?4E*=0Z3?05Q( ; -/*1-/M7 ;>9A R_-/*,<f90 8,(y35(;e4 >H@U8*@Ge4 ;Ae4 7g<- =/-:0?-:(;%3 ACBs_4 ;L(GQ( >iU
0#AGU ;L(G(Q>.3#I_3505(;71N -:90 8j93 XD;;?AC>?0 BOAC>.#3 ;A4\0?-BC4 = =4A @GC4 =B-:k0 IE@d#3 :I<- ;)C< >>e4 ;823 @G4E*j93 XD;;?AC>?0 >>4E*2<E( i X2Q( >>-:(;3G@
*,(;4e>J7 4\90 @H82(;3}#0 Ax4 :EQ( IE@s4E* Yje4 ;;>9A F_-/7e4\05( i X,Q( >>-:(;3GN1Sr A D Q( REQ( >;@t4 >8<- @H8 i X,Q( >HI =B4E*,P< X24\<E(YH3 8DAPX=<Y
C4 =/#3 A.C4 =<=4A D BTAC>i@GA+7 7A-B*24\0?4- A+*234E* Y-@GAC>9>?g( =B4\0?4- A+*23 7L(G0 D (G(;* Y24\0?4}-:05(;7e3GN AC>G( F,4EM
7 ;=/(E@]-:0t-/3 ;0A+3>3?4- 7=:(
0#A_hA* YbC4 =<=g90 8,( ;A4E-/*]0?-/*,<+3 7 IY€<- @G4E3?#3 AJ-/*b4J#3 :I<- ;YC< >>e4 ;8OJ@ 7X,0n-/0 D APX=<YbD* AE%0 7F( ;?A+3?3?4- 7=:(Z#0 A_hA* YY90 8,(
A+*,(;390 824\i0 824 RE( A D Q( >83-/*J90 8,(;7 4E3t90 824\0n-/D* BOAC>>7 4\0?4- A+*K7eg4 I D* AE0 7L2( @GA+*]0?4E-/*,g( YY-/*K90 8,(m*A4E7K2( ACBL90 8,(
;A4E-/*]0?-/*,<,N~o4E* D (X-/7 ;>9A RE(C90 8,( i X,Q( >HI-=/4E*,P< X24\<E(X#0 AJ(;*2e4 7=:(X4E*23 D Q( >>-/*,<fM7 AC>?S( @GA+-7 ;=:G( F i X,Q( >>-:(;3-/*
4 ;L(GQ( >iUH#0 AGU ;L(GQ( >m#3 I_3505(;7 
M


,




, ,








4/+7$0 + , 





)(Z<+4 RE(C4 >?(Q;A4E-<>t7K(g@H824E*A-/3?7 BOAC>t3#:I-<;K<C>>4e;823s-/* I(g@M0?-<A+* K N  09824\0t-/*J0982( D AC>>3?0@G4E35(E@=0?4e:E(;30?-/7K(

i X24CYD>>4\0?-<@f-/*c098,(K*JXA77L(Q> ACBD* AZY,(;3 ACBt098,(K3#:_-4;`<C>>4e;8ON j 8A-/3E=:(;4CYA3C0#A10982(BOAP=<=4A D -/*,< i X,(;3?0?-4A+*
^ 3.-:0 ;?A+3?3?4- 7=/(K#0 AVY,Q( REg( =<AC; 4c7MAC>?(b(\ @G-:(;*]0>?(Q;g4E-4>.7K(g@U824E*2-/3>7 BOAC>f4`3#:_-4; <C>>4e;8  RE(;*[7MAC>?(
-/*]05Q( >?(;350?-/*2< D APX=<Y[7L(y4e35g( =<BaU 350?e4 7g<- =/-:9;4\0?-4A+*17 (g@H824E*2-B3?7 09824\0 @GAPX=<Y60?4e:E(f4 Y2-B3#>HXD;205(gY139:I-4;1<C>84e;8
BO>9A+7 4E* I1e4 >97g-:#0 >>e4 >9Ie3?0?e4 >?0?-/*,< @GA+D* hAP< XD>>4\0?4- A+*14E* Y >>(;35#0 AC>?(}-:0o( \ @G-/(;*=90 =4Ib#0 Ae-:0?3LY2(QB (g@M09=:(;3>3Z350?4\05(EN 
<CA A Y)350?e4 >>0?-/*,f< ;0A+-B*=0 D <- =<= 7L(.#0 A X23?(.90 8,(K7KQ( >><E( #3 AC>?0R05g( @H82*A- i X2(;S3 BOAC>];Ae4 >>C4 ==:g( = ;?A+-/*]05Q( >R7 C4 @H82-B*,(;3
<+4- RE(;* 7 I A AZYD>><- @U8 &(' ,G: < K p N j 8,(R7K(G90 8DAZY2!3 Y,(;93 @G>><- 7Fg( YY90 8,Q( >?(;-B* @G4E*2* AE20 Y24- >?g( @M90 =4IM7L( X,0?<- =/-/9Gg( Y BOAC>
APXD>S;XD>9;?A+35(;3Z4E3m90 8,Q( I[;>?(;H3 X27K(y90 8,(}G( F_-/3?05(;* @M( ACBt#3 A+7 ( @GA+7 M
7 A+*`35#0 AC>>4\<E(f90 824\0 @G4E** 7L(}C4 @Q@M(;3?3?g( Y
7 I6C4 =<=u90 8,( ;>9AZ@M(;3?35(;3G@ D 82<- @U8 -/3Ce4 7A35(;*]0X-B*190 8,(.7 (;3?3?4\<E( U ;A4E3?3>-/*,<b(;* R_4- >9A+*27 (;*=20 ACBt4 ;L(GQ( >iUH#0 AGU ;L(GQ( >
#3 I_3505(;71N  >?g( =/4\05g( Y$-/*]05Q( >?(;350?-/*2< i X,(;350?4- A+*-/3 ~o4E* D ( Y,(;3?-/<+*4 *,( D #3 II3?05(;7 D 82<- @H8 824E3b90 8,(
7L(;*,Q( h20?

3 ACB8Xr j 3K4E* Y[#3 :_4- ;[C< >>e4 ;8A3G@4E* Y 93 X;;?AC>?0?3 i X2<- @H:EQ( > 4E* Y AC> @U8,(;e4 ;LQ( >M>?g( @GA REQ( >8-:(;M3 BO>9A+7
B^4E<- =<XD>?(;3 













 





# #  #(2% 46, ' + $  " .0+ #7.%+7 ,  $ +/ #( 


*,(SACBO098,( BOX2*Y24E7K(;*]0?4C=@H8A4C=<=:(;*,<E(;3n-/* ;F(G(Q>lUH0#AGU ;F(G(Q>o3#I_3505(;7 30#A YA4gIY-B3t0#A
7X2-<=<YK4E*fA RE(Q>H=/4gIY*,(G0wU
D AC>9:}90 824\0t-B3d3?(;*23?-:0?-4RE(n0#Aq0#AC;?AP=4AE<CIJ4E*Y AC>=/4\05(;*@GIEN ^ *J4CYY2-:0?-4A+*f0#A ;A4\098M=4AZ@G4C=/-:06IE@+0#AC;?AP=4AE<+-<@G4C=<=<I;U
35(;*23>-:0?4- RE_( >9APX,0?-/*2< D APX=<Y)C4 =B#3 A 7F_( 7L(;*,(Qh@G-B4C= 0#Ac35(Q>9RE(-@GA+*]05(;*=0BT>9A+7 >>(Q;=/-<@G4E3]=4AZ@G4\05(gY\@Q=4A+3?(;350y-/*
;8JII3><- @GC4 =]Y2-/350?4E* @M(EN ^ * C4 =<=R90 8,( A REQ( >H=/4 I *,(G0 D AC>9:_3G@q
4 ;A4\90 8+@GA+*23?-B350?3[ACBJ4@M(Q>?0?4E-/* * X277F(Q>[ACB
e4 ;;=B<- @G4\0?4- A+* Uk=:Q( REg( =H@ID* AEL0 ^ 9€ Uk=/Q( REg( = 8DAC;A3GN ^ [
* @QXD>9>?(;*]0#3 II3?05(;7 3G@ =/-:0590 =/(C( ?AC>?0Z-/3n0?e4 :E(;*6#0 A 3?(G(q90 824\090 8,(
e4 ;;=B<- @G4\0?4- A+* =:Q( REg( = 8DAC;A3oe4 >?( @GA+*2C< >HX,(;*]0#0 AK90 8,]( ^ € Uk=:Q( REg( = 8DAC;A3;N C3oG( FZ;=/4E-/*2g( YY(;e4 >U=/-:Q( >;@_€h4E35#0 >9I  @
j e4 ;F(;3?#0 >9I p @n4E* Y ~   p ;Ae4 >?0?-BC4 =<=4I 93 X;;?AC>?0J#0 AC;0AP=<AE<+<- @GC4 =<=4IU 35(;*23?-/0?4- RE( >HAPX,0?-/*,<,N ^ * AE90 8,Q( >
#3 I_3505(;7 3G@u4 =4A AC:ZXD;BO>9A+7 4kD* AZY,(J-/* C4 =/( @GAPX=<Y;0AE05(;*]0?-/C4 =<=<I6C< A190 8D>9APX,P< 8x#3 A+7 _( YA-/350?4E*]0XD* AZY,(J-/*
^ * Y2-/
4 7LQ( BTAC>>(y-:L0 >?(;C4 @H82(;3Z90 8,( Y2(;350?-/*24\0?4- A+*1* A Y,(y-B*1rCe4 >9R\e4 >HYON
EAPX,0?-/*,<f93 @H8,(;7 (;i3 BOAC>oM
7 AC7A<- =:(C*,(G0 D AC>9:_390 8A4\0-/* @GAC>H;0AC>84\05(m<EQ( AEC< >>e4 ;8A<- @SYA-/350?4E* @M(;%3 @G4E* 7L(X35(G(;*
-/3y93 II3505(;7e3 =/<- :E(KC< >><- Y\=4AZ@G4\0?4- A+*j35Q( >9R_<- @M( 4E* Y C< >?(Gg( YI ;FQ( >8-/7K(G05Q( >}350?4\05g( =/(;3?3 >HAPX,0?-/*,< p N1rX<- =VU
YD>HXA7 &'>,6: < p 4E* Y ye4 >?<EQ( > &('>,G: < p  ;>?(;3?(;*=0}93 A+7K(e7K(G90 8DAZY23q#0 Ac#3 AP=4RE( 90 8,( *2(;e4 >?(;350}*,(;-/P< 8 7?AC>
;>9AC7=:(;7-/* >?(;3?#0 >><- @M05g( Y A REQ( >H=/4 I *,(G0 D AC>9:_3GNZ~o4E*690 8,(;3?(y05g( @H82*A- i X2(;23 7L(}93 X2-/0?e4 7=4IYe4 ;;=/-:g( Yk#0 Ae-B* @GAC>iU
;?AC>>4\052( B X=<=VU g( Y,<Eg( YK*,(G0 D AC>9:-=4AZ@GC4 =/-:60 If-B_
* ;F(GQ( >lUH#0 AGU ;F(GQ( >n#3 I_3505(;7 3 [^ 3-:0t93 X]\ @G-/(;*=0t#0 AX2352( ;>HAgF,-/7 -:60 I
*







 ,











  


 














,









>9APX,0?-B*,<Y4E*Y`*,(;4e>?(;3?0X*,(;-/<P8 7?AC>C3?(;4e>H@H8,(;3X0#A14C@H8A-:(QRE(J098,(7L(;*,(Qh20?3SACB 3 : B )+,G:>HAPX,0?-/*,<e3?(;*23?-:0?-4RE(.0#A
*,(G0 D AC>9:[=4AZG@ 4C/= -:06/I 
A 4C@He
8 -/3h0#yA <E(;*,(Q>>4C=B-:9G(!APXD>t4e7A350#>>4C@M07MA Y2(g=ZACBg4)8Rr j 0#A}7X=:0?-4;=:(%Y2-/7K(;*A3?-4A+*23GN * *,(
* *2(o4e;;>9+
AC2B 09,8 (%2Y -/7K(;*A3?-4+A *23 @GAPX=<YL7 (%2X 35(gyY 0#A ?> (Q;?> (;35(;*]0l09,8 (o4C@M09X24C=a@C;8JI_3?-<@G4C= =<A @G4\0?-4A+*A3 ACB,098,(o7 4C@U82-/*,(;3d-/*
09,8 (3#_I 3505(;71N ^ 2Y (;4C=<=4EI @ D ( D APX=<Y
/= -4E: (!/= 4e?> <E( 92X 7MA; 3d-/*.09,8 (L2Y -/7K(;*A3?-4+A *y09A8 4\0 >> (Q;?> (;35(;*]0?3h09,8 (!E: (QII 39A; 4CM@ (
4E*6Y 3>7 4C=<:= (QZ> 350#8> -<,Y (;3-/*k09,8 (AY -/7K(;*23?-<+A * BOACm> *,(G0 D AC>H: AY -/350?4E*M@ (;3GNX*DEA 09,8 (QX> 4e;;>9+A 4C@U8 D APX=<Y L7 (q0#A
2X 35( o4e?> 0?4C
= 3-;>9ACg7 4eA7 -</= -/3?0?-<e@ 4e;;>9Ag,F -/7 4\0?-4+A *[0#A 09,8 ( A ER (Q>U/= 4gI 7K(G0#>> -1@ 3#A; 4CM@ (*2X 3>-/*,< 28 -:(Q>> 4e>U@H28 -<G@ 4C==4I
35(QA; 4e8> 4\05(gY 0#?> (G(;3 
  @]4E*YMAC27 0?4E-/*Y4E* 4e;;>9A _F -B7 4\05(m3#AP=<2X 0?-4+A *MBOAC> =4AZG@ 4\0?-/*,<}*,(;4e>> (;350*,(;-:<P8J7?AC>> 3GN )(
@GAPX=<Y ;?+A 3?3>-47=4e
I 4CB= 3#A-2X 35(y7
X:= 0?-VUkAY -/7K(;*23?-<+A *24Cg= 39I: -41
; <C8> 4e;28 3o0#e
A 4C@U28 -:(QER (}0928 (}3?4E7K(];X>9;?+A 35(EN
,:,

 



-, $  $2 ' ,  "+ 


DX >
Y24\0?4`350#>HX@M09XD>>(;3.4e>?(Y0#AP=:(Q>>4E*]0.0#A @G>>4E398`B^4E-<=<XD>?(;3 >84E*YDA+7 B 4E-<=XD>?(;3]BOAC>.0982(b4e7A3?0#>>4C@M0 8Rr j
7MAZY,(g=a@l4E*Y 7?AE098\>>4E*YA+7 4E3 D (g=<=s4E3f4CYDRE(Q>>3?4e>>-B4C= B 4E-=<XD>?(;3 BOAC>.3#:_-4;)<C>>4e;8A3GNYrSA D (QRE(Q>;@ D (b4e>?(
IE(G00#K
A 3509XYDe
I 09,8 (SL; (Q>9BOAC>> 7 4E*M@ (SACB 09,8 (;35(q*,(G0 D AC>9_: 3-/*Y098,( ;>?(;35(;*@M( ACB 7 II9;4E*=0?-/*2( B^4E-<=<X>?(;3G@ D 8,(Q>?(
*DAZ,Y (;3]G@ 4E*\L7 (g28 4 ER (e4e>9A7 -/0#>> 4e>> -<=4EI N AC.> (G_F 4E7M;:= (E@l4[7 ]I 9;4E*]0?-/*,(Y*DA 2Y (_@G4E*j35(;*Y Y2-F(Q>?(;*]0y7K(;3?3>4\<E(;3
0#A*2Y -F(Q?> (;*]0];>9AZM@ (;3?35(;3}(QER (;* -4nB -:0y-/3y3HXD;;?+A 35(g`Y 0#cA 35(;*xY 09,8 (e3?4E7K(Y7K(;3?3?4\<E(Y0#A 4C=<= ;>9AZM@ (;3?35(;3;N-^6B
09,8 (X7K(;3?3?4\<E(q-/3-/7M;>9ACL; (Q>H=<IBOAC>> 7 4\0505(gOY @_09,8 (;*Y09,8 (E>> (gG@ -4A; -:(;*]0iG@ 4E*f,Y (G05(gM@ 0o0928 4\0n09,8 (C35(;*,Y (Qn> -B3^B 4CX:= 0kI
7,X 0S2Y -\ @QX/= 0?-:(;34e>> -/35( D ,8 (;*10928 (.7K(;3?3>4\<E(f-/3E;/= 4C2X 3>-47:= (R0#e
A 0928 (?> (gG@ -4g; -:(;*=0E7,X 0m-/*@GAC>9?> (gM@ 0GN  ^B 4CX:= 0kI
;>9AZM@ (;3?3LG@ 4E*14C/= 39J
A 7e-/7 -<m@ 09,8 (]L7 (g28 4g_R -4AC>!ACB 4_@G>> 4E3928 (gY ;>9AZM@ (;3?3!7Jb
I 35(;*2Y -B*,<.*DK
A 7K(;3>3?4\<E(;3LL7 (QIC+A *1
Y 4
M@ (Q?> 0?4E-/*V;?+A -/*]0GN j IJA; -G@ 4Cl= 05(g@U28 *2- i ,X (;3SBTAC> ,Y (;4C/= -/*2< D -:09c8 39X@U8*^B 4E-<=<XD>> (;3 D APX=<Y -B*@Q=<X,Y (?> (gY2X *AY 4E*@GI
4E*Y @G>HIJ2; 0#EA <C8> 4e;28 -<q@ 3?-/<+*2-/*,<f0#A ,Y (G05(gM@ 0X4E*Y[?> (QA; 4E-<>L7>9ACE: (;*6*DAZ,Y (;3 
  N
 ?> (gM@ (;*]0Z39XD>9ER (QIf7JI (;-:<E(;*JA7 4C2X 7 &(' ,G: < 
 K  398DA D 30928 4\009,8 (Q>> (y-/3o-/*=05(Q>> (;350Z-/* ,Y (;3?-:<+*A-/*,<J7MAC?> (
>?(;4C/= -B350?-<@fB 4E-=<XD?> (k7MAZ,Y (g/= 3_BOAC>-L; (G(Qi> UH0#GA U L; (G(QY
> 3#_I 3505(;7 3 D ,8 (Q?> (109,8 (6*DAZ,Y (;3-@GAPX=<Y@GAP=<=<X2Y ( D -:098N+A *,(
4E*DEA 09,8 (QR> 4E*Y,Y (QIR -B4\05(BO>9+A 709,8 (.(;350?4e7/= -B39,8 (gY[;>HEA 0#A @GAP= BTACC> 09,8 (;-4>SA D *`35(g=4Ah 3H68 -/*]05(Q?> (;350?3GN j ,8 (.-<,Y (;4
-/3.0#A 72X -<=Y\@G+A 7M;,X 0?4\0?-<+A *24C=<=4I U B (;4E3>-47:= (b3#II 3?05(;7 3f0928 4\0K4C=<=4A D *DAZ,Y (;3f0#A L7 (g28 4gER ( 5 ,6' 0 B6@ ,G:J: H @ D 28 -<:= (
7L(g28 4g_R -/*,< @GAP=<:= (gM@ 0?-<ER (g=4yI 0#yA 7 4,F -/7 -:9G(09,8 (L@G+A 7 7M+A * D (g=4^B 4e?> (!ACAB 09,8 (3#_I 3505(;7 4E3h4 D 8DAP:= (EN j 28 -/3d7MAZ,Y (g=
28 4E3 L7 (G(;*.3?09X2Y -:(gYBTAC> EA 09,8 (Q> ;>HAC7:= (;7 3 -/*}0928 (i2h (g=YAC7B  := <CAC>> -/0928 7 -<@ 6(g@U28 4E*2-/3?7 8X(;3?-:<+* 
    D 28 -@H8
BOA @Q2X 3?(;3 +A *M@G+A 7A7 -B*2-/*,<R4E3#L; (gM@ 0?3 ACB@G+A 7-;,X 0?4\0?-4+A *24C=ZB (;4E3?-4g7 -</= -:06yI 4E*J
Y <+4E7K(09,8 (QAC>9f
I 39X@UK
8 4E3t-/*M@ (;*]0?-4ER (
@G+A 7MA; 4\0?-<A7 -</= -:06EI N*AC?> ( ?> (gM@ (;*]09=4EI @n09,8 (Q?> ( 28 4E3_L7 (G(;* -/*]05(Q?> (;350 -B3M2X 3?-/*,<`0928 -/3K7-A ,Y (g=%BOAC> 2Y -/3?0#>> -47,X 05(gY
3#_I 3505(;7 3Z-B*k09,8 (}4e?> (;4MACB 8R-/350#8> -47,X 05(gY  := <CAC>> -:0928 7e-<@ 6(g@U28 4E*2-/3?7 8C(;3>-:<+*ba 8  8c 
 @ K  N
*

,

2* (R3HX@H864e>U@H82-:05(g@M09X>?(]BTAC>EB 4E-4>398A4e>>-/*,<_ACBh350#AC>>4\<E(>?(;39APXD>H@M(;3a^4C=<=<A D -/*2<f4 *A Y,(R0#A-@GA+*23HX27K(
A+*=4If4E37
X@H8e350#AC>>4\<E(C4E3-:0 ;>9A RI-<Y2(;3Uc8@ D 82-@H8K-/3 >9AC7X2350t4\<+4E-/*23?0@GAP=<=<X23?-<A+*23 ACBF*DAZY,(;3t-B3 ;>?(;35(;*]05(gY
7 I9m<+4E* &' ,6: <  N *A A"X4\0?4- A+*  @ D 82- @H8-;>9A R_<- Y,(;3n4 YA-/35#0 >>4- 7X,05g( Y S^ 8 *,(G0 D AC>9:F@,C4 =/#3 Af#0 >>-:(;3
0#A}(;*A93 XD>?2( B^4E4- >n93 82e4 >>-/*2]< ACB >?(;#3 APXD>H@M(;i3 7 IJ-B*=#0 >9AZYX@G-B*,<q4E*Y-/*]05Q( >>7Kg( YA-/4\052( BOAC>>7 ACB @QXD>H>?(;* @GI_7L(G0 D (G(;*
;L(GQ( >>3.90 824\0K-/3 @GC4 ==:g( Y 
 7 A A_Nj%~ A AC;LQ( >T&'O,G: < @ <+4- RE(k05g( @H8A*2- i X,(;3G@t93 X@U8j4EM3 Y2(Gg( Yj#0 >8C4 Y2-/*,<,@
C4 YDREQ( >?0?-B3?-/*,<,@,4E* Y 7A- YY2-/*,< BTAC>m#0 >>C4 Y2-/*,<J35#0 AC>>4\<E(f#3 ;AC4 @M]( 7L(G0 D (G(;*10 D Ae* A Y,(;3-B*k90 8,(y#3 I_3505(;71N  =/-/350
ACBo-/*=05Q( >>(;350?-/*,[
< AC;L(;* i X,(;350?4- A+*A3 >?g( =/4\05g( Y)#0 A ;L(GQ( >iUH#0 AGU ;L(GQ( >f#3 II3?05(;7 3 D -:90 8)3?g( =4hA93 8V;Ae4 >?0?- @G4- ;A4E*]0?3 @G4E*
7L]( BTAPXA* Y1-/*  N
*













,









 ,,





-+


  



+  2%$


8X(G0?4E-<=:(gY67 (;4E39XD>?(;7K(;*]0Z4E*24C=4I_3?-/3 
 , K @ , @  824E327F(G(;*[YA+*,(]A+*[;L(G(Q>iUH0#AGU ;L(G(Q>Z0#>>4G\ @q-B*[@GA+7 U
7K(Q>H@G-B4C=l3#I_3505(;7 3C39X@H8`4E3 C 4e;A3?05(Q> 
  p  @ R* X,05(g=<=/4 
 K  @g4E*Y y4L4 
   N j 8,(;35(}3?09XY2-:(;3L>>(QRE(;4C=
,

,

,



,

09824\0Y098,(8DA+3?0?3 09824\0 ;A4e>?0?-<@G-4;g4\05( -/* 0982(;35(c*,(G0 D AC>H:I3b4e>?(8A-:<P8=4I 8,(G05(Q>9AE<E(;*,(QAPX23 D -/098>?(;3#;L(g@M0
0#A*B^C4 @M#0 AC>>3.93 X@H8j4E3=/4\05(;*@G-:(;3G@ =B-4B (G0?-B7K(;3q4E*Y 3H824e>?(gY\Y24\0?4_N XD>>098,(Q>;@l0982(-;L(G(Q>>3y4e>?(e*AE0}4C= D 4gI_3
D <- ==/-/*,<K#0 A[@GA AC;FQ( >84\05(E@l4E* Y YDA1D* AE0 7Fg( 8Ag4 RE(K( i X24C=<=4I6-/*V@GA+*]0#>>-47X,0?-B*,<Y4E*Y @GA+*23HX27 -/*,<f>?(;3#APX>H@M(;3GN
%~ A+*]05(;M
7 ;?AC>>e4 >9IY2(;3?-:<+*23 YDAqD* AE0h0?e4 :E(90 82-/3 8,(G05Q( >9AE<E(;*,(;-/k0 IJ-/*=#0 AqC4 @Q@GAPX2*]0t4E* YJ4\0505(;7M;20h0#A]Y2-/3?0#>>-47X,05(
098,f( =4A+C4 Y\ACBZ7 4E-B*=0?4E-/*A-/*,<190 8,(k*,(G0 D AC>9: 4E
3 X2*24- BOAC>>-7 =<Ic4E3 ;0A+3>3?4- 7=:( 4E-7 A+*,<cC4 =<=90 8,( ;ge4 >?0?<- @G4- ;A4E*]0?3GN
^ 0 D APX=<Y*7F(f-/*]05Q( >?(;350?-/*,<Y#0 A135(G(f<- Bt*,( D Y2(;3?-:<+*2S3 @G4E
* 7L
( Y,Q( REg( =4AC;Lg( Y 90 8A4\0C0?e4 :E( C4 YDR\4E*]0?4\<E
( ACB90 82-/3
8,(G05Q( >9AE<E(;*2(;-:k0 I1#0 A-7X2<- =:0o4 M
7 AC>?(q( \ @G-:(;*=E0 ;F(GQ( >lUH#0 AGU ;F(GQ( >X#3 I_3505(;71N
€d(GQ( >iUH#0 AGU ;L(GQ( >C93 II3505(;7e23 82g4 RE( @GA+7 (}M4 =4A+*,< D g4 Ik-/*k4K93 8DAC>?0#3 ;A4E* ACBd0?-/7K(q3?-B* @M(R90 8,(q(;e4 >H=4IfY2g4 I_3
ACB(Xe4 ;A3505Q( >;N IQ( REQ( >8C4 =2g( =:(G<+4E*]0ne4 ;;>9A+C4 @H82(;i3 824 RES( 7L(G(;* ;>9AC;?A+35g( Ye4E* Ye-/M
7 ;=:(;7K(;*]05g( YMBTAC>90 8,S( Y2(;3?-:<+*
ACBm93 X@H8 #3 II3?05(;7 3G@s(;C4 @H8 ACB D 82<- @H8`82g4 RE(k90 8,(;<- >A D b
* 7L(;*,Q( hA0?3.4E* Y =/-/7e-:0?4\0?4- A+*23GN )( 7Lg( =/-:Q( RE(e90 824\0
-:0 D APX=<Y 7L(K-/*235#0 >UX@M0?4- A+*2C4 =d#0 A*@GA+7 7A-/*,(J90 8,(Y-/*23?-:P< 8]0?3 ACB90 82(;35( Y2V- LQ( >?(;*]0ye4 ;;>9A+C4 @U8,(;3q#0 A*Y2Q( REg( =4AC;
7 AC>?(.#3 AC;82-/3?0?<- @G4\05g( Y1#3 I_3505(;7 3Z-/*k90 82( BOX290 XD>?(EN
M

,

K

n% 
&#   
N I (g@QX>?(jrX4E398 I 0?4E*Y24e>UYON ^ 
*  < < & 1 , 5 ' I& @ ' B9B I& 5 p&  D
-,6' ,G: & t,G: ,6' & t&G@  ;>>-/*,<Ch2(g=YO@ .@ *6.@ E;>>-<=  pIN
!#"$"&%(0 BG'@ )$)+*,*$*.-0/17;"#@!230 -546/78".@-:9BG;=5 <#)=>#/80 %6B6@ 7?%=@$ AB7+5)&j>C0 /8%BDFE,GHCDI-J!"1K N
,4E7K(G(Q>9 ?7 4E*2-H
@ 8 4E-/*,( mNtL~ =/e4 >9:E(E@!~ 8 X24E*,G< U r X,( AP8u@4E*Y I05(QRE(;* m-@H827 4E*uNj~%A+* U
~L8DAC>HY %~ A AC;LQ( >>4\0?4- RED ( 68  ^K~nQ( >?0?4- h@G4\05( _#0 AC>>4\<E( 4E* Y5X4E7K( m(;#3 AP=<X,0?-4A+*uN`^ * €d(G05(Q> 8 >iU
XA39@H8,(g=H@ >>4E*23 y4E4E93 8DAIQ( :F@+4E* Y C*]#0 A+* I 2A D 35#0 >9A+*O@Eg( Y2-/#0 AC>>3G=@ L 5iB t&t& CG0J@3 . B ' 7 & = 0J5 .'M @ 'K& 5ON
@ ,6' 0 B6@ ,G:QP BG5OR . 7 Bt1 BG@ LY&t& 5N ' B1N LY&t& 5  H .'K&S .UTVWL  L  "z@RCAP=<X27 ( K  ACBYX& j' Z 5 &[ B 'K&.
@ ;A4\<E(;3 K O] p K @l~o4E7 7>><- Y,<E(E@ 
}M@ *6.@ ce4 >H@H8 N
0J@\9B 1 Z]'K& 5  0 & @ p&MD
S:\4E7 4E-aN !#","=%(')$)1*$*$*.-W^1_`^8KM^#/a-0b&;8K N
(;3 C#3 ;g*,(;3G@ 0A$(d 8R-/4E7eC4 Y2-a@4E* Y qC4 XD>>- D82C4 8ON C4 X=:w0 UH#0 AP=:Q( >84E*=0 2APX,0?-B*,< -/*€ (GQ( >lUH#0 AGU
K ;Lc 4E(G7K
Q( >  II3?05(;7 3G!N ^ e
* L 5iB t&t& CG0J@3 . B ' 7 &  8 & @ ' H1N = 0J5 .'3f hg  H 1 B . 0 Z BG@ L 5p0J@ 021 : &p. B
.0 p' 5p0 )iZ]'K& Cj9B 1 Z]' 0@3 T Llk  " @ ;A4\<E(;3
@ *A+*=05Q( >?Q( IE@,~ .1@  6.@ X=4I N ZXD7]U
7e-:0505g( Yk#0 A 0 .' 5t0 )SZ]'K& Cm9B 1 Z]' 0J@3 7N SR\4E<- =/e4 7?]=:(R4\0 !#","=%n'W)$),^&o$p`/1<q-;&o9#),^1A6c 7&)#b$7&)=G,r,Gs,G,s$s N
p c 4E7K(;3 X#3 ;A*,(;3s4E* Y RC4 XD>>- Z8AC4 8ON  :_4- ; >>e4 ;823;DN ^ U* L 5wB p&+& CG0@3 . BW ' 7 & = B Z 5 'K&+& @ ' 7 f @ @ Z ,G:
f
h8fgev@ N  6Wf }g @  4EHJ* XAe4 1 >9B I . 0 Z BGN @ ZX0 . 7A7 5 &-:'K05&l05g( fY: 3;#0 BGA 5p0 4 ' 7 #3 ;L.tg( @GT -/ C4 k =q-/3>f!93 X,"zV( D@ ;AAC4\Bt<E(;w 3 Z K ,G] : 6@ fuo:C4 =:0?-BM7 ' AC-.>?(E@
c
B 5t@
B
3;BG5p0 7
Y2g( Y2<- @G4\05g( Y1#0 Ab35g( =:g( @M20 ;Ae4 ;LQ( >>!3 ACB  8 
N
 rX4\<+-:
0 o050?<- I+4}4E* Y c (;*2*24- B Q( >)g( =<@U8ON 0 .p' 5p0 )iZ]'K& Cx9B 1 Z]' 0J@3=y = Z @C ,+ & @ 'Q,G:.+D  0 zZ:,6' 0 BG@ .
, @C f C+ , @ p& C  Bt10 . N *@ >>4 D U rX<- =<=l€ XD7=B-/93 82-/*2<J%
~ A+M7 ;g4E* IE@g~o4E7 7>>- Y,<E(EC@  @   N
 XY2<- A RC4 =/4 FZIEN !"$"=%n'W),)+*$*,*n-^1@C{C/&;=9#^$2,^=|=}.-Wb&;FK N
A+*A4\0?4E* SX27e4E*2*}4E* Y c<- @H824\g( = .FN un(;* Y,Q( > N C4 X=/0 j AP=:Q( >>4E*]0 8R4\0?4 I#0 >HX@M90 X>?(;3GN ^ 
* L 5wB t&+& C1N

.
'
&
'
&
&
'
f
Z
G
,
:
.

Z
Z
6
,
'
.
]
Z
K
'
&

0J@3 B 7  7;0J5 H1N   @ 7
@ @
H 1 B 0
B6@ = B @C 0 BG@ B~9B 1
5  0 & @ p&

T = k   "z@ ;A4\<E(;3Xp  8] p  6@ u!XD>U=/-/*,<E#0 A+*O@ j C@  6}@ @M#0 AC7FQ( >  N
uo* e4 >HL X@H8 t&+ & D Q( >97. X@H8x' 4E* & Y)!~ 8D& >>-/'3?0?-/4E* & Z@U8,(;<- f Y,g( =:Q( > NC€d(GQ( >iUH#0 . AGU Z$;L(GQ( >  I_L 3505(;7 3 BT: AC&p>R. € >>Q( hDF,.' I(;)Se4 Z]>H@U'K&8ON
^
 H 1 B N 0 j A SBG;@ ;L(;e4 5t>;0J@N 0d1 B 0 5t0 C
5wB
CG0J@3 B 7  8 @ H1N  BG@C
h

g
Z
'
T
l
L
k
"
@
C
%
u
+
A
5
3
0
#
+
A
u
*
@
.

@
€

6

.

@

X
<
=
I
c
9B 1 0J@3 
rXe4 >>Y- uoC4 =/e4 : >>-/H3 82*24E*O@ Z@GAE050 Z8,(;D* :EQ( >;@ 4E* Y c<- @H824\g( = C4 =4hA93 8ON _(;7 4E*=0?- @pU >?(G( m(QB Q( >?(;* @G-/*,<
-Bj*  -/D* :Eg( Y8R-/35#0 >><- 7X,05g( Y  II3?05(;7 3GN ^ ~* L 5iB p&+& C60@3 . B ' 7 &  & BG@C  @ 'K& 5t@ , ' 0 BG@ ,G:‚P B650R . 7Bt1
@ uQ( >H:Eg( =:Q( IE@F~ .`@  6}@ Q( 7>HX2e4 >9I N
B6@ L>&+& 5ON ' B1N LY&+& 5  H .p'K&i .UTVWL  L +ƒ €
4E<- > uoe4 >?0?C4 =aNJ€ >9AC7Ae4 7g<- =/-/350?- @)E;;>9AgF,-/7 4\0?<- A+* ACB (G#0 >><- @  ;AC4 @M(;3q4E* Y)-:0?3 S=/C< AC>>-:90 827 - @ S;]U
;=/<- @G4\0?4- A+*23;SN ^ „
* L 5iB t&t& CG0J@3 . BW ' 7 &  7;0J5 ' H1N  &  & @ ' 7 f @ @ Z],6:  H 1 B . 0 Z BG@ = B Z @C ,6' 0 BG @ .
]
Z
K
'
&
@ ;A4\<E(;3 K ] B@ u%X>H=/-/*,<E#0 A+*u@ j C@  6.@ @M#0 AC7LQ( >  N
BWt9B 1
5  0 & @ p&tT = k  &ƒ 
p
^€


, 





,


 

,

U



,









,

















,

,



,





-, ,




 

 







 


 









-, ,

-, ,

*


 











,




  







,


 

-, ,








 



*



,





-, ,




 ,, 







-, ,


 ,:,  









,

,

,



*

,



c4gI+4E*:juo4 D 4_@ 2AC7L(Q>?0#A c N,uo4gI+4e>HYA c >;N:@  >>-<Y824e> C4 54\<CAC;A4C=B4E*O@,4E*Y iX,<E(;*,( c N Z8,(Q:_-:0?4_N
c4e:E()-:0 >?(;398O@ c4e:E()-:0
]X2-<@9:XU I(;4e>H@U82-/*,< 4-C(G0 D AC>9: ACB}€d(Q>>3#A+*24C= )(Q7A35(Q>9RE(Q>83GN ^ *
L 5wB t&+& CG0JB@@3u!. XBY2 e4 ;L' 7 (;& 350G @28 r &X2:  *,' <+7 4e >H@ IE'K@ & 5t@ 4 ,6I ' 0 B6@ ,G:3N P j B6A 5 : SC ;P ;L0(;C 4e& >;N P &j) 9BG@ & 5 & @ p& T?P\P\P ƒ @ ;g4\<E(;3
?] K
SXYDAP=4Bnuog4 IEQ( >Y4E* Y iY D e4 >HY N *@ %~ >>(;-:<P8=0GN >?<+4E*A-:9;4\0?-4A+* 4E*Y 4E-/*]05(;*24E*@M(fACBv 4e>?<E(
>HY,Q( >?g( Y ^ * Y2<- @M(;3;N f j'Q,z @?BG5 ,6' 0 +,\@ a c ?]  @
N
#AC> _<- =B4\P< 82-aN j 8,( 8X(;3?-:<++
* ACB j Q( >H>>4 8R4- >;N
K u%j g( AC@H78A7 *2I <- @Gu!C4 = 82Z(4\05Q0?;?C4 AC@H>?820}e4 > )~ (G(EU @}j €dRU(G05( q@ g( =:Xg( 8,*2Q( 4- RE>;@RQ( >84E3?-:* k0 Y I*ACu!B X c
4
e
9
>
I
B
=
E
4
*

O
Y
l
@
~
%
P
A
<
=
:
=
G
(
E
<
K
(
h
€
4
e
9
>
F
:
d
@
%~ AP=<=/(G<E(f€he4 >9:F@

K

8f€@  6.@ @M#0 AC7LQ( >
N
p u!XD>>#0 A+*r..N u%=<AJA+71N  ;gC4 @M( j -/7K( j >>C4 Y2Q( AGL31 -/*rC4EH3 8 !~ A Y2-B*,< D -/90 8  =<=4A D e4 7=:( >H>9AC>>3GN
9B zZ @ 0 +,6' 0 BG@ . B ' 7 &lf hg @ a c K ?] K @ c X=4I N
 $<- =<=B-/4E7 c N u%AP=4A+93 :JIE@ c AP82* yN%8 APX@Mg( XD> @ 8Rg4 R_<- Y i=4IE@ 4E* Y ce4 >9RI-B* j 8,(;-/7 Q( >;N (;4E3?4- 7g<- =/-:60 I
ACBd4 IQ( >9REQ( >H=/(;3?3 8X-B35#0 >>4- 7X205g( Y <- =:(  I_3505(;7 8XQ( ;=4A IEg( Y[A+*14E* F,-/350?-/*2< I(G!0 ACB08X(;#3 :I#0 AC; €o~o3GN
^x
* L 5iB t&t& CG0J@3 . B ' 7 &‚f hg   g      @ 'K& 5p@ ,6' 0 BG@ ,G: 9BG@? & 5 & @ t& BG@jg &l,.Z 5 &SI& @ '
, @C g B(C &: 0J@3 BU9B 1 Z]'K& 5  H .p'K&S . D
@ ;A4\<E(;3 K ] K @ _4E*]0?4e!~ =/e4 >84_@2~ }#@  6}@ c X2*,( N
zBOc ACAP> 828X* -Bu%35#0 IE>>4-Q( 7>>X23;@ 05g( c YK( 0rC>?4EQ( 93I 8 %~ j A+e4 *A73?=:<- (;Y23G-/?N *2^ (Et* @l4EL * Y t&tc& <- @H8A4\.g( = c' -:05&9G(; *2& 7 C4 @U8,Q(  >;N 'K& _-/M7 ,6;' =:(  ,G:nA+C4 P Y uoC4 . =/4E* @G-/*,<
L>&+& 5ON ' B1N LY&+& 5  H .p'K&i .UTVWL  L +ƒ C@ un5iQ( B >9:Eg( =/CGQ( 0JIE@@L3 ~ .BW `@  7 6}@ B6Q( @7C >HX2e4@ >9I 5t@ 0 B6N @ BG5OR 7Bt1 B6@
c-:P< X,g( =_~o4E35#0 >9A,@E€d(G05Q( >8 >HX293 @U8,g( =a@ C*2*2( U e4 >>-/( qQ( >>7 e4 >H>?g( @\@ C*2-B7K(;93 8)X4E* Y2-a@ X*=#0 A+J* I 2A U

3?#0 >9A+*O@g4E* Y o90 X= _-/*,P< 8ON  ;=/-:0 _#0 >?(;4E7 rX-:P< 8 U 7A4E* Y D <- Y,90 8 @GA+*]05(;*=0 Y2-/3?#0 >>4- 7X,0?<- A+*b-B*6-4 @GA ACD ;]U
Q( >84\0?4- RE(J(;* R_4- >9A+*27 (;*=0GN ^ e
* L 5wB p&+& CG0@3 . B ' 7 &  & BG@C  @ 'K& 5p@ ,6' 0 BG@ ,G: P BG50R . 7Bp1 BG@ LY&+& 5ON
' B+N L>&+& 5  H .p'K&S .tT WL  L +ƒ C
@ unQ( >9:Eg( =:Q( IE@O~ .C@ *6.@ Q( 7>HX2e4 >9I N
c-:P< X,g( =x~o4E35#0 >9A,@x€d(G05Q( > 8 >HXA93 @H8,g( =H@ X*2*,( U ce4 >>-:( yQ( >>7 e4 >9>?g( @\@x4E* Y X*]#0 A+* I EA D 35#0 >HA+*ON
A~ 2^u
   w Z B Z 5p @ ,G' =B:e4 >?BG<E@ ( U 93 @GZ&C4 : : &=:' (6(+'K,G&4EC.p* ' Yf 5Y2&+g( z,@M. (;Z*=0@#0 >>C4 9=B+-:B, 9Gz'g( Y zZe4 . ;@ @;0 t=/,6- @G' 4\a0 BG0?c@4- A+. * UkT =:w Q( REfg( =o 
7 ƒ X@T =: 0?1<- @G@M& 4E#0 35AC0 0K,67F: Q(-/* >0 .tBT.O>>Z!4E3?& #0 >HBGNX@ @M90 -XD>?&((E' N N
8 B650R  1;1 BG5 BG5Qg
0
9B @ 0 0 BG@ ƒ  K ?] K 
c-:P< X,g( =l~4E35#0 >9A,@ c<- @H8A4\g( =BuCN c A+*,(;3G/@ X*2*,( U ce4 >>-:( qQ( >87 e4 >9>?g( @\1@ X*=#0 A+J* I 2A D 35#0 >9A+*O@ ce4 >9R_-/*
j 8,(;-/7KQ( >;@ErCg( =:(;*  4E*,<,@=4E* Y  =:g( @! AP=/7 4E*u1N C* R\C4 =<X24\0?<- A+* ACBZ@GC4 =/e4 7=/!( S;;=/- @G4\0?4- A+* Uk=:Q( REg( =
X=:0?- @G4E350 u%XA<- =:z
f k@ @ Z k ,G:Bw BG@ 0_@ 4E' * 90 BGC>>@4E 3?*& -B*,5 @G& <)-/93@ @Gp€ A,& (G@FQ( B~ >l UH.#0' 7AGC@ U&Q ;F (G6 Q( }>@  RE9e4 Q( >HB>H@U=/4 8 II1 3GZ]N 'K& ^5 * N , @L Cm5wB 9t&+B & zCG0JzZ@3 . @!0 Bt ,6' ' 0 7 B6& @ .   8 B & @ 0 &(' HF' 0 N & . & TVBGW@C N
=  g ƒ
^ 4E* !~ =/e4 >9:E(E@ #3 :\e4 > _4E* YD7LQ( >?<,@ ui>84E* YDA+* <- =/Q( IE@f4E* Y j 82Q( A YDAC>>(  NRSr A+*,<,N >?(G(;*2(G0
 8X-B35#0 >>4- 7X205g( Y XD* A+* I_M7 APX2f3 ^ D* BOAC>>7 4\0?4- A+* I#0 AC>>4\<E( 4E* Y Z(G#0 >>-/Q( RzC4 =  I_3505(;71N ^ *rC4E*A*,(;3
g( Y,Q( >9>>4\90 8O@g( Y2-:#0 AC>;@ &p. 0V3 @ 0J@3 L 5p0V , H R@]7 , @ 0J@3  & 7;@B : Bl3 0 &. y  @ 'K& 5t@ ,6' 0 B6@ ,G: P BG5OR8N
. 7Bt1 BG@
&p. 036@ +.t.OZ!&p. 0J@ f @B6@ H 0 ' H , @C  @B ).& 5 ,) 0 : 0 ' H [
@
RCAP=<X27K( " ACBmXe& N
' Z &  'K&.
Z]'K& & p&M@ ;A4\<E(;3    m@ unQ( >9:Eg( =/Q( IE@)~ .@  6}@ c X=4I N
!#"$5 "&%(')$B)+*,*$*.0J-@>,o 914B ="1 q-O71;+5 @#o` b&>0 @ ;&o9 -J4&" N K ]
u%>>-B4E* NF%~ A AC;LQ( >m4E* Y rCg( @M#0 AC> Re4 N >H@G^ -/* 4 U *L AP=/t-/*2&t& 4_.N uo<- . YY2-B*,'< BO& AC>*_#0 & AC>>' 4\<E( &  ;gC4 @M(. -/*1'K&4Y€ ,6(G'Q( >lUH#0 AG,GU :
;L(GQ( > 8X4\0?4`€ >>(;35Q( >9R\4\0?4- A+*  I_3505(;71f
 
#0 9>8B6-/4_@@  &c 5 X& =4@ I t& BG@ N 0 .p' 5p0 )iZ]'K& C 9B 1 Z]' 0J@3  5iHB .p'K&SCG0J@.l3 TV  B  7 +ƒ @ ;A8 4\<E@(;3 H1N ?] BG@C @ R-@ :(;*25t*2@ 4_@ 0 B6@X2w3 U


 , 















,



,

,


 ,
 









*


,

-, ,









,

,

,


,

,

-, ,

*



,











*





,









,




  



,

,













-, , ,


,











-, ,


,















-, ,


,







 








 -, 









-,







,

-, ,

*

,











*





,



-, ,












*






  











-, ,

-, , ,











-, ,

,



,

u%4e7>>=:-B(4E* 8X-B35N_0#>>~%-47A X2AC;L05(g(QY >4EZ*IIYY3505(;rm76(g@MN 0#^AC*1> €dR(G4e05>U(Q@G> -/48 U >HX2AP39=B@U-/8,*2(g4_=aNO@ €d(G>>4E(Q>i*AUH3 0#AGyU €d4E(G4E(Q39>8DAIZ((Q;:F3#@2AP4EXD*>U@MY ( Cj *]>>0#4CA+Y2*J-/*,I <.EA-/* 4 350#m(>HA+g=/*O-VU @
(gYA-:0#AC>>3G@lL 5iB t&t& CG0J@3 . BW ' 7 & = 05 .p' @ 'K& 5p@ ,6' 0 BG@ ,G:~P BG50R . 7Bp1 B6@ LY&t& 5N ' B1N LY&t& 5  D H .p'K&i-.
T7W>>L -<Y, <EL (E@ +
ƒ @?}RCAP@€=<*X276.( @ cK 4e>H@HAC8 BnX& (' Z N 5 & B 'K&p. 0@ 9B 1 Z]'K& 5  0 & @ t&G@ ;A4\<E(;3 ?] @t~o4E7 U


























,



-, ,



X23>-/*,< 4
K  SX€d(G2(Q3?>i3kUH0#~%AGU Ag;LFL(G@ (Q>[o0982AJ-<AC@H:Z8AXD4 ; IX,(Q09>982R_-<-:@M0?4C(E@UNL82^ 4e*`>9AI€d(;(G*O05@(Q> 4E*8SY >UX2EA39@HC827F(g(Q=a>>@ 0 >>j 4EN *23*yAC>94E>>4E-/3;398DN AII(Q:g(Q>9@LR_4E-/**,Y < C8*] 0#
A+*JI 2A U
3?0#>9+A *O@A(gYA-:0#AC>>3G@ML 5wB t&+& CG0J@3 . B ' 7 & = 05 .p'Y @ 'K& 5t@ , ' 0 BG@ ,G:lP BG5OR . 7 Bt1qBG@ L>&+& 5ON ' B1N LY&+& 5   H D . N
'K&i . TVWL  L +ƒ @ RCAP=<2
X 7 (  K  ACB‚X& j' Z 5 &  B 'K&. 0@ 9B 1 Z]'K& 5   0 & @ t&G@ ;g4\<E(;3 pEp ] pI@
~4E778> -<,Y <E(E@ 
}@` 6.@  4e>U@H8 -, , N

  p  S?> 09XD>HY
A ~%?> (;3#;?J
A 4E*6
Y rC(gM@ 0#AC> R4e>HG@ -B4U  AP/= -B*24_N 2AP,X 0?-/*2<M^ *AY -<@M(;3%BTAC>m€d(G(Q>iUH0#AGU ;L(G(Q>  II3?05(;7 3GN
^ * L 5wB p&+& CG0@3 . BW ' 7 &  8 & @ ' HFN  &  BG@C  @ 'K& 5p@ ,6' 0 BG@ ,G: 9BG@ & 5 & @ p& BG@ 0 .' 5t0 )SZ]'K& C9B N
; 4\<E(;3  ?]  @ R-:(;*2*24_@1 2X 350#>> -B4_@ c X=4I -, , N
1 Z ' 0J@3  H .'K&S .tTV   +ƒ @DA

  
>> 4E*D: 8R4eL7 (Qg: @  N >> 4E*23 y4E4E398]A (QF: @ 8R4g_R -<Y y4e?> <E(Q;> @ EACL7 (Q?> 0 *AC>9>> -/3;@Z4E*Y ^ +A * _0#+A -<G@ 4_N
$-<,Y (U 4e>> (;4 @GA ACF; (Q8> 4\0?-4ER (}350#AC>> 4\<E( D -:098 ~ FN.f hg  Qk3L  k 1 & 5 ,6' 0J@3  H .'K&S .  & 0 & 8 @
pDaa pPc  -,?] pI@08C(gM@ (;7L7 (Q> -, , N

 
>> 4E*D: 8R4eL7 (Qg: @un(;* ?28 4e,A @_€ (G05(Q> 8 >H2X 3H@H,8 (ga= @ c APA8 * XDg7 -/4\0#A D -M@ 9E@I4E*Y ^6+A * I0#+A -<G@ 4_N j A D 4e>HAY 3
4 ~%+A 7e7M+A * C€ ^MBTAC> I0#>HXM@ 09XD?> (gY € (G(Ql> UH0#GA U € (G(Q> * ER (Q>H/= 4 II 3;N ^ * L 5iB t&t& CG0J@3 . B ' 7 &  &  N
B6@C  @ 'K& 5t@ , ' 0 BG@ ,G:lP BG5OR . 7 Bt1XBG@ L>&+& 5N ' B1N L>&+& 5  H .p'K&i-.jTVWL  L +ƒ @Mun(Q>9E: (g:= (QEI @u~ }@€*6.@
(Q7>H2X 4e>9I -, , N

   c4gIZXD> 8X4\0?4e> Nju!,
X 0505(Q> 
 -:(;3y4E*j
Y € (G(Ql> UH0#GA U € (G(Q> C(G0 AC>9_: 3GN ^ * EAP=4B APd 8D>> -B*,<64E*Y C4 (G(QR

C4E7 4E*O@+(gAY  -:0#AC>> 3G@$L 5wB t&+& CG0J@3 . BW ' 7 &  & @ ' 7  Z 5iBt1 &lD, @  H 1 B . 0 Z B6@ fW: 3BG5t0 ' 7 . T   f ƒ @
RCAP=2X 7K(  K ACU
B Xe& (' Z 5 &e B 'K&. 0J@ 9B 1 Z]'K& 5   0 & @ t&G@ g; 4\<E(;3 ,8]   @ 2A+7K(E@ ^ 0?4C=4EI @
_(Q;205(;77L(Q>
N





,



,



,

,



,

,

-, ,

m(;*,(]Y,(]=/4zu%>>-/4E*Y24E-B3GN -<=:(R35(;4e>H@U82-/*,<MX23?-B*,<R\4e>>-/4e7=/( =:(;*2<E098 :E(QI_3GN ^ *xL 5wB t&+& CG0J@3 . B ' 7 &
P p &p.p'KN & 5t@ w BG0J@ ' 9B 1 Z]'K& 5 9BG@ & 5 & @ t&M@ZRCAP=<XA7K( pI@ ;A4\<E(;3  p ]   @ A+*]0#Rz4C=/(E@  c @$*6.@
 aX@ c 8Xp Q( R >9A IE(E%N@  =/-B7 N -:0h90 8,Q( AC>9IMBOAC> >>4E*YDA+7 3#:_-4; =/-B350?3GN  7 &(f @ @ ,6:2. BW f 1 1 : 0 & C L 5iB )l,) 0 : 0 ' H @
]" 
zEAc AP82* 3?#0 yN>9A+*O8 @uAPg( XY2@M-/g( #0 XAC>;>>3GN @ j L 8,*( t &tIJ& 7g<- =1o. 050?C4 @9:F' N & ^ *Y= € (G.p05'qQ( > 8 'K& >HX2H3 ,6@H8,' g( =a@ ,G: >>4EP *A3 y. 4E4E3H8DA](Q:F@,LY4E&t*& Y X' *]L>0#A+&+* & I
D 'K&S . TVWL  L +ƒ C@ RCAP=<5iX2B 7K( CG0J@3 ACBBBX7 & (' Z 0J&n5  'K@ &. 5p@ 0 BG@ Z]'K& BG50R 7& Bp1 t&GP@B6;A@ 4\<E(;3 5N p B+O]N  5 @

.
~H 4E7 7>8<- Y,<E(E@ 
}`@  6.@ e4 >UK @H8 N 5 B 0J@ 9B 1 5 0 @
,4E7Kg( 8 i=VUX*23?e4 >9IE@  X@ *24E*24  =/-/7 4_@I€ Q( >nu%>>4E* Yu@]4E* Y I(;4- BurXe4 >><- Y2-HN \ @G-:(;*]q
0 u%>9A+C4 Y@G4E350
-B* I#0 >HX@M90 X>?g( Y € € C(G0 D AC>9:I3;fN ^ * L 5wB t&+& CG0J@3 . B ' 7 &  & BG@C  @ 'K& 5p@ ,6' 0 BG@ ,6:P B650R . 7Bt1
@ uQ( >H:Eg( =:Q( IE@F~ .`@  6}@ Q( 7>HX2e4 >9I N
B6@ L>&+& 5ON ' B1N LY&+& 5  H .p'K&i .UTVWL  L +ƒ €
zcA+X4E=:* 0?- @G4E(;35-/<E0 (;j * 7A>>4EC4 *2XA3?717e@s-/3?L~ 3?4- 8DA+>>*A-/353G#0 N A+3qw €hZ e4 ;AC4 ,GYA: -/7 -:#0 >><- APXO@u4EZ]* 'KY& Z, @GAE050  Z8,.p(;'KD*&S:EQ( >; N Z& 82e4 t>>&-/.8*2@ <b 90 82a (bc %~ A+O35] 0 ACB@
B 5p@
B 9B 1
5 @C H
0 @
K
 X,P< X23?0
N










,







,


 -, 







,



,





,








  





*













,



,

-, ,










-, ,







-, ,

,

,



,



,

,

K zM@c (;A+*]4E0 *




(;-:<E(;* 7g4CX27 4E*Y Z@GAE050 Z8,(;*D:E(Q> N"8X-B350#>>-47X205(gY)S=/<CAC>>-:09827 -@ 6(g@U824E*2-/3?7 8X(;3?-:<+* m(U
Z(;39X=:0?3m4E*Y X,09XD>>( 8R-4>?(g@M0?-<A+*23GNL^ *eL 5wB p&+& CG0@3 . B ' 7 &  0? ' 7  @ 'K& 5t@ ,6' 0 B6@ ,G:[P BG5OR8N
. 7Bt1*BG@
0 . 5 &'K& f: 3;BG5p0 ' 7 -.T, @Ceg &' 7BjC . B65tg B ) 0 : & 9B 1 Z ' 0J@3 , @C 9B zzZ @ 0 +, N
' 0 BG@ . @;A4\<E(;3 O] @ o09=/4E*]0?4_@ }@` 6.@ I(Q;205(;77L(Q>
N
p XM7 A+3 -/4\0y4E* Y c e4 >?g( Y _4E-/4_NK~n(;*23#AC>83982-4; Z(;3?-B350?4E*=0y€d(G(Q>iUH0#AGU €d(G(Q> ~%A+*]05(;*=0) YYD>?(;3>3?4e7=:(
C(G0 D AC>9:_3GN ^ * L 5iB t&t& CG0J@3 . B ' 7 &  7;05 'K&+& @ ' 7 f @ @ Z ,G:6f hgeN  Wf g  H 1 B . 0 Z B6@ 0 . N
@ ;A4\<E(;3 K ] @ ,4E* >>4E* @G-/93 @GA,@q~ .@  6}@ c 4E* X24e>9I N
5 &('K& f: 3;B65t0 ' 7 .T  k f ƒ i
DXD7A7 -:0505g( Y #0 A`4c#3 ;Lg( @G-/C4 =t-/3?H3 X,( ACBlw B Z 5t@ ,6: B f: 3;BG5p0 ' 7 -.Y2g( Y2<- @G4\05g( Y #0 Ax35g( =:g( @M0 ;A4e;L(Q>>3ACB
 8 
N
 iY D e4 >HY >?g( YD:_-/*ON j >>-:( (;M
7 AC>9IEN 9B zZ @ 0 +, ' 0 BG@ . B ' 7 &‚f hg @ a c K 8] K  @ _Q( ;205(;7 U
7LQ( >  N
c<- @U824\g( = c N >?(Gg( Y27 4E*j4E* Y 8Rg4 R_<- Y c4\9;- Q( >?(;3GN Z=4AC;;JIV824E93 82-/*2<k4E* Y)35g( =4BU AC>?<+4E*2-:9;-/*2< @Q=<X2w3 U
05Q( >83GN ^ * L 5wB t&+& CG0J@3 . B ' 7 &  & BG@C  @ 'K& 5t@ ,6' 0 B6@ ,G: P B650R . 7Bt1 BG@ LY&t& 5N ' B1N LY&t& 5  H .p'K&i-.
T WL  L +ƒ `@ unQ( >9:Eg( =/Q( IE@L~ .C@ */}@ Q( 7>HX2e4 >9I N
c<- @U824\g( = c N >?(Gg( Y27e4E*Y4E* Y m4CY,Q( : R-/*,C< >>C4 =:Q( :FN \ @G-:(;*]0€d(GQ( >iUH#0 AGU €d(GQ( >( A AC:ZXD;Uuo4E35g( Y A+*e4

8R-/3?#0 >>4- 7X,05g( Y j >>-:(EN ^ *k€d(G05Q( > 8 >HX293 @U8,g( =a@ >>4E*A3 y4E4E93 8DAIQ( :g@24E* Y X*]#0 A+* I 2A D 35#0 >9A+*O@_g( Y2-/#0 AC>>3G@
LRCAP5w=B X2t7K&+& ( CG0J@3 . BW ACB' 7 X& & (= ' Z0J5 .p&t'q  @ 'K'K& &p5p. @ ,6' 0 BG@ ,G:P Z]BG'K& 5OR . 7 Bt1 & BGt@ &G@ L>;A&+4\& <E5O(;N '3 B1N LY &+& 5 pI@o ~oH .p4E'K7&S 7.>>- Y,T W<EL (E@  L &.ƒ @@
]
 6.@ ce4 K>H@H8 N 5 B 0J@ 9B 1 5  0 @
 L~ 8D>>-/350?-B*,( >>Q( IE@y€ N c NSr X O3590 X,0505Q( > @R4E* Y 8X4 RE( $<- =/#3 A+*ON m( D 3 )Q( 7 _-:05(;3 L~ =4AE<E<Eg( Y -/*
SB 05Q( >>7 4\90 8 ^ *]05Q( >>*,(G0 u%>?(;e4 :ZYDA D _* 82-:P< 8=/-/P< 8=0?3 D (;e4 :_*,(;3?3 ACBA7Kg( Y2- X27 D* AE0 >?(;C4 YDIq#0 A @GA+M7 ;L(G05(
D -:90 8 >>C4 Y24- A,@ j .N a _Q( ;20GN @ c8N j 8,[(  A+3 C*2<Eg( =:(;3 j -/7 (;3GN
c A+€d4 e4i >8XAC4 -/=<7 =:g( =3R8Re4 <-7A@Me4 0?>94- A+> *2A,@Ae4 >9%~ I A+X2* 3?>>-BC4 *,YD< A Z:I4-e4 ;x>>0  
 *,-/35(G0?9E3G@,N 4E * Y& X4 &(RI' -/tQ( ,G> : 6(;3?3?(GP< Z]X,'KQ( & >;N   j & AC;]t&GU@8 A p D * a O8X] (;c 3?-:O<+] * ACB@
K z4e
7 BG5 0
9B 1 5 0 @ 
cg4 I   N
4E* YRg4 R_-:Q( > (;3?35(GP< X2Q( >;N  C*A4- h2g( Y S;;>9A+C4 @U8 #0 A %~ A+* @QXD>H>?(;*=0b4E* Y
K z€hc A+4e4 >>i4CXA==:-/(g7 =% R=:<Ce4 AC7g>>e4 -:09>98A> Aj
;g@ e4 'K> & 4E5p-/@#3 A,,6@g' 0 !~ BG@8A,G<- =:: (E/@9EBG@7A  RE32& (;5 7 A+& *m@ 7LtQ( uo& > 4CB=/ 4E*' 7 @M& (gN Y e7;8X0 4\:&+0?, 4 @ I90#>UB X@M109XDZ]>?'K(;& 3G5 NL ^ B *m0 L &('5wH B tT &+ & CGn0Jn@3  . ƒ @ B;g4\' <E7 (;& 3  &   ] & @ 'K@ &+&t4@ C' =V7 U

R-4F_-/4E*2< ZX2*O@A4E* Y rCg( @M#0 AC> Re4 >U@G-/4 U AP=B-/*24_N X€€   € (GQ( >lUH#0 AGU
K €€d(G>>4EQ( > 3?4E *2AJ*AAC4 :ZRXD; 4E*,I(;Q( 3>>94ER_*O<- @M@ 

f k@ @ Z k ,G:Bw BG@ 0_@ 4E' * 9BG>>@4E *& (5 @G& -/A93@ RE@GpA,Q( & >@FB~ S .>9' 7A7 C@ &Q-/ #0 >> 6e4 }>9I @  j AC9e4 ;?>HB AP@U=48 AE1 C< Z]IE'KN & 5 ^ *N , @L Cm5wB 9tB&+&zCGzZ0J@3 .@!0 Bt ,6' ' 0 7 B6&@ .   8 B & @ 0 &(' HF' 0 N & . & TVBGW@C N
=  g ƒ
K qJ* X,05g( ==/4_N !"$"=%n'W),)=9&4,@#" 2$2,^3-J*,9$; - b&;FK N
4 ;>9AE#0 AZ@GAP=a@ s(Q>>3>4- A+* N K N
KCK !#q"$J* "&X,%(05g(')$==/)+_
*,*$* -W2/K &*M/Fo 3-0b&;8K6)+{ &< ,2,;+%&o#)=914$@" ,2$2$^ %o#;=";Cb+;2 G -q-5%C{$> N
< A+*[4`€he4 >>C4 =<=:g( =n€ A+-/*=05Q( > cC4 @H8A-/*,(
K p c-:<- 90 @U8 824\Sg( ;= ;j =B<- N @G4\0?AJ4- A+AZ*2YD3>><-#0 @UA 8j_4E(G* 0 Y F L;N >>m4(;3?e3?A 4- A+]* A+3>R\e4 C4 >>=<4 X2#4\Xu0?N 4- A+*OAC3N >>w 0?-/*,Z *
O]  @
B 5p@ ,G: B ' 7 &f hg @ K a c
Dce4 >H@U8   N
K  AJAEP< =:(EN !"$"=%n'W),)+*$*,*n-:9;$;=9#2 -0b+;FK N




,






,




-, ,





-, ,

 







 -,

,

,




-, ,

,,

*


















-, ,





























-, ,







,


 , 



,












-, ,



,



,



,

,





,











 

,


  









-, ,

 




 



,













































,

 

,





,

,

K



S782-B93 8,Q( : XD;A0?4_@"8X-<RJI+4e:\4E*=0C<C>>4 4C=a@=4E*Y X7M> = S77A4CY2-aN6S;;>9A F_-/7e4\05( C4E*,<E( I(g=:(g@pU
0?-<A+* X,(Q>>-/(;3 ^ *K€d(G(Q>iUH0#AGU €d(G(Q>  I_3505(;D 7 3GN^ *UL 5wB p&+& CG0@3 . BW ' 7 & = 05 .p'
 0 & @ @ 0 ,G: 9B6@ & 5 & @ t&
,6'Q,
.p'K&i-. &.&+,
T  @ ;g4\<E(;3 K O] p @ X3?-<=<A+7 4e>;@ ~ .@B*6.@
B6@  @ @B1 ,6' 0V &
4c EJ* XA4e>9I N  H  5 7   ƒ
^ * YD>84E*2<- = X;20?4_@ q(;*2*,(G098muo-4>>7 4E*O@F€>>4e:\4E398el-B*,<+4_@  = 8C(;7 (Q>>3G@O4E*Y 2AC77L(Q>?0 t4E* m(U
*2(;3?35(EN q(g=/-<;A3 7X2-<=<YA-/*,<}4E*1(\ @G-:(;*=0Z4E*Y1350?4e7=:(q€ € 8Rr j 098>9APX,<P81-/*@G>>(;4E35(gY17K(;7MAC>9I
4E* Y 7AC4 @9:IC< >9APX2* Y\A REQ( >H8,(;C4 Yu
N ^ * L 5iB p&+& C60@3 . B ' 7 &  & BG@C  @ 'K& 5t@ ,6' 0 B6@ ,G: P BG50R . 7Bp1 B6@
L>&+& 5ON ' B1N LY&+& 5  H .p'K&i .UTVWL  L +ƒ C@ unQ( >9:Eg( =/Q( IE@L~ .`@  6}@ (Q7>HX24e>9I N
_05Q( RE(;*.rX4E* Yy4E* Y j -/M
7 AE90 8JI 2A+93 @GAI(EN c*,(;M7 A+#3 I_*,( €d(GQ( >iUH#0 AGU ;L(GQ( > I05(G<+4ED* AEC< >>e4 ;82<- @ _#0 AC>>4\<E(EN
^ * €d(G05Q( > 8 >HX2H3 @H8,g( =a@ >>4E*23 y4E4E93 8DAIQ( :F@4E* Y X*]#0 A+* I 2A D 35#0 >9A+*O@ng( Y2-:#0 AC>83G.@ L 5wB p&+& CG0@3 . B
' 7 & = 0J5 .p'Y @ 'K& 5p@ ,6' 0 BG@ ,6:‚P BG5OR . 7Bt1XB6@ L>&+& 5ON ' B1N LY&+& 5  H .p'K&i-.UT WL  L +ƒ 
@ RCAP=X27K( K  ACB
Xe& j' Z N 5 &  B 'K&p. 0@9B 1 Z]'K& 5  0 & @ p&M@ ;g4\<E(;3 8] K @X~o4E7 7>><- Y2<E(E@ .Y@  6}@ ce4 >H@U8
c4\0590 8,( D rCe4 >9>>(;*O@ c A+35Q( ;8 NyrCg( =<=:Q( >>3505(;-B*O@ EI+4E* r X,Q( 7A93 @U8O@ u%AJA+* j 8AC4 X  A A,@ Z@GAE050
D8,(;D* :EQ( >;@4E* Y^ A+* _#0 A+<- @G4_N !
~ A+M7 ;=:G( F X,Q( >>-/(;3K-/* 8Rr j U un4E3?g( Y€d(GQ( >iUH#0 AGU €d(GQ( > C(G0 D AC>9:I3;N
^ * €d(G05Q( > 8 >HX2H3 @H8,g( =a@ >>4E*23 y4E4E93 8DAIQ( :F@4E* Y X*]#0 A+* I 2A D 35#0 >9A+*O@ng( Y2-:#0 AC>83G.@ L 5wB p&+& CG0@3 . B
Xe' 7 & & j' = Z N 0J5 5 & .p'Y  B @ 'K'K&p& . 5p@ 0@,6' 0 9BG@B ,6:‚1 PZ]'KBG& 55OR . 7Bt0 1X& @ B6p&M@ @ L>;g&+4\& <E5O(;N 3 ' B1N KLY?&+] & 5 p  H @X.p~o'K&i4E-.7 U7T >>W<- LY2<E (EL @ +ƒ @ .RCY@ AP= X267K}( @ cK e4 >H@UAC8 B
X<- @U8DAP=/4E3 c (N }N rCe4 >9REQ( IE@ c<- @H824\g( = uXN c A+*,(;3;@ I05Q( B^4E* _e4 >9A+- XO@ ce4 >9RI-B* j 8,(;-/7KQ( > @l4E* Y  =:g( @
 AP=B7 4E*ON  :_4- ;7C(G0  Z@GC4 =/e4 7=/( REQ( >U=/g4 I m(G0 D AC>H: D -/90 8f€ >>C4 @M0?<- @GC4 =# A @GC4 =/-/k0 I.€ >9AC;LQ( >?0?-:(;3GDN ^ *
L T? 5wB t &+& CG0J@@ 3 ;g. 4\B<E (;3 ' 7 & = B Z 5 ' 7 @ I (; 4\ 0590 ‚=:(E1@    .H `@ *1 B/. }0 Z$@ ce4B6>H@ @U8 @ 'K& 5p@ &N '  & 7;@B : Bl3 0 &.O, @C  H .p'K&i-.
 I+ƒ
?]
}4- >>3505(;* rX<- =<Y>HX271@ c AP8A* 8.N XD7A-/4\#0 A D <- @M9E@ _4\0?-/93 8 C4eA,@d4E* Y u(;* fN ?82e4 A,N 8R-/35#0 >84- 7X,05g( Y
7 g( @M.0  AZ@G4\0?4- A+*k-/*Y4 8 I_*24E7 <- @ m(G0 D AC>9:FN ^ x
* L 5iB t&t& CG0J@3 . B ' 7 & = B Z 5 'K&+& @ ' 7 f hg  H N
.

Z
Y
L
,
6
,

:
:

&
q
:
W
f
:
'
.
,
f
'K& (' Z &p. T LBf‚f @ ;A4\<E(;3 O] p @ $-/*2*2<- ;F(G<,@
1]B 0
K
c4E*2-:#0 AC7gBG4_@ @F~o4E*25 C4 Y24_@ SX,3P< BGXA5t350 0 7 N @C 5 7;0 5  ƒ
€4- AE#0 >%^ * YIJ:F@ C4 (GQ( R AE0 D 4E*2-H@_€ >>e4 782e4 :\e4 > m4\P< 824 Rz4E*O@,4E* Y _4E*]#0 A+93 8 s(;M7 ;AC4 =/4_N  AZ@GC4 =/-:k0 IU
€ >?(;35Q( >9R_-/*,< rX4E93 82-B*,< -/* X=:0?<- YA-/7K(;*23?<- A+*2C4 = Z;AC4 @M(;3GN ^ * L 5wB p&+& CG0@3 . B ' 7 &   8 & @ ' H1N  0J@ ' 7
f @ @ Z ,G:`f hg  H 1 B . 0 Z$ BG@  7 & BG5pHABU9B 1 Z ' 0J@3 T a k  ƒ Z@ ;A4\<E(;3  ] pI@ =L€h4E#3 A,@
j .`@  6.@ 4 I  N
,-:0?e4 >>4E&
7 ^ IEQ( >;0@ X*]#0 A+* I 2A D 35#0 >9A+*u@ 4E* Y)€d(G05Q( > 8S>UX293 @H82g( =aN QS^ 3  Y2g( @M(;*=#0 >>C4 =B-:9Gg( YO@
;L(GQ( >iUH#0 AGU ;L(GQ( > D Q( 7 @GC4 @U8,(EN ^ * L 5wB p&+& CG0@3 . B ' 7 &  8 & @ ' H1N = 05 .p'zf hg  H 1 B . 0 Z B6@
L : &p. .' )SZ]'K&
Z]' TVLlk @ ;A4\<E(;3 ?] @ *A+*=05Q( >?Q( IE@~ }@ *6.@
c X5t=40JI @ 0d1 N B 0 5t0 C 9B 1 0@3  ƒ
EAC7LQ( >?#0 A c CN uog4 I+e4 >UYDA c > N:@ C4e:E(;93 8 CC< >>4 D C4 =a1@ 8R4E*2-/g( = >HX8=H@I4E* Y X7 -:0  A+7e4E*2-aN APX IQ( >9R
 )Q( 7]U Sr A+350?-/*,<4E* Y %~ A+*]05(;*=,
0 D82e4 >>-/*,< j A AP=]BOAC>190 8,( c4E3?35(;3G,N ^ * L 5iB t&t& CG0J@3 . BW ' 7 &

:
&
&
'

K
'
&
6
,
'
G
,
:
P
:
@ ;A4\<E(;3 K p ] p K @sSr A+* U
  @ 7 @ 5t@ 0 B6@
BG5 C P 0 C &„P &) 9BG@? & 5 & @ t& T?P P\P ƒ ?
AP=X=<XO@,Sr ^8C@  6.@ 4 I
N
N >>4E*23 }4E4E93 8DAIQ( : 4E* Y 8Rg4 R_<- Y yN ye4 >?<EQ( >;N ]A AC>HY,(  _-/-7 ;=:( 8X(GC< >?(G( U AC;20?-B7 C4 = 8R-/w3 U
#0 >84- 7X,05g( YcrC4E93 8 j e4 7=:(ELN ^ e
* L 5iB t&t& CG0J@3 . BW ' 7 &  & B6@C  @ 'K& 5t@ ,6' 0 B6@ ,G:lP BG5OR . 7Bt1qB6@ LY&+& 5ON
' B+N L>&+& 5  H .p'K&S .tT WL  L +ƒ C
@ unQ( >9:Eg( =:Q( IE@O~ .C@ *6.@ Q( 7>HX2e4 >9I N












,

,

,

,

-, ,

K 

















-, ,

K





















,
-,



-, ,

p


 , 





















 



,

p





,

*

,:,


p


  









,







* 







,

-, ,







-, ,





p







pK



,

+







 
,   

p




















-, ,

pEp







,








-, ,











,

,







-, ,













-, ,



,






p 8R4 RI-<Y y4e>?<E(Q>;@ >>-<@.u(g8A7 4E*O@ j A+7 u(;-:<P8]0#A+*O@ c4\05098,( D u(QR_-/*,(E@"8R4E*2-:(g=#l( D -/*O@+4E*Y C-/*24
€h4E*2-/<C>>4C8 IEN ~%A+*23>-/3505(;*]0frX4E3982-/*2<c4E*Y m4E*YA+7 j >?(G(;3 8R-/3?0#>>-47X,05(gY ~o4C@H82-B*,<`€ >9AE0#AZ@GAP=/3
BOAC> Z(g=/-:Q( R_-/*,<.rEAE0) ;?AE0?3A+*Y098,(  AC>H=<Y9$-<Y,( )(Q7uN ^ * L 5wB t&+& CG0J@3 . B ' 7 &  8 & @ ' H1N  0J@ ' 7
f 6h.g @ c H g4 I 1 B . 0 ZN BG@  7 & BG5pHqB 9B 1 Z]' 0@3 T  k  ƒ @;A4\<E(;3  p K ]   @ =Z€h4E3#A,@ j f@

p  8R4 RI<- Y ye4 >?<EQ( >f4E* Y c4\0590 82-/4E3 EX8=aN -/* Y2-/*,< C(;e4 >?(;350 m(;-:P< 8J7?AC>>3y-/* >9A D 098 U >?(;350#>8-<@M05(gY
(G#0 >><- @G3;%N ^ m* L 5wB t&+& CG0J@3 . B ' 7 &  7;05 ' H1N = B Z 5 ' 7 f @ @ Z ,G:Bf hg  H 1 B . 0 Z BG@  7 & BG5tHZB
9B 1 Z ' 0J@3 T  k  ƒ @ ;A4\<E(;3 K O] p @ A+*]#0 >?(;C4 =a@O~o4E*2C4 Y24_@ cg4 I N
p u%>>C4 Y ye4 >H;b4E* Ybr.N j N X2*2<,N R€  >?(Gg( YDIe€dQ( >>-/7 (G05Q( >)_0?4\05g( =:(;3?3 2APX,0?-B*,< BOAC> 4- >>g( =:(;3?3
C(G0 D AC>9:_3GN ^ * L 5iB p&+& C60@3 . B ' 7 &  0? ' 7 f @ @ Z],6:  @ 'K& 5p@ ,6' 0 BG@ ,G: 9BG@ & 5 & @ p& BG@ gSB ) 0 : &
9B 1N Z ' 0J@3 , @C  &' 8 BG5OR0J@3 T g k .  k g ƒ C@ ;g4\<E(;3 K ?] p K C@ u%A+35#0 A+*O@ .=@  6.@ SX2P< X2350

C-<@H8Ae4 >HY N ye4 >H;u@ i=/M- E;B^C4 =a@,4E* YSRI- $-:P< Y,Q( >>#3 A+*uN j 82(q%~ A+-7 ;=:G( F,-:k0 I-ACBd€he4 >>C4 =<=:g( =I(;e4 >H@U8ON
w B Z 5p@ ,G: BWt9B 1 Z]'K& 5 , @C  H .p'K&i  0 & @ t&.8@ a c p ] p %@ S;>>- =   N

}4 L4 }N !"$"&%('W),)+*,*$*n-J_`^ 
 ^$^Y-0b+;FK N

€d(G05( qg( =/g( 8,Q( >;#@ u%AC77JIju!824\050?C4 @H82e4 > (G(E@F4E* Y u%X AC> _<- =B4\P< 82-a(N S>?( X-4>>90 X2C4 =/-:9Gg( Y REQ( >H=/4 I C(Gw0 U
DEAAC>9:_3?3 #0 >9j A+AJ*OA @ug(*Y2X-/#0 @UAC8[>>3GAC@ BsL 4 tA&t& A Y j .82-/*,< ' &^ * = € (G.p05'qQ( >  8 'K&>HX293 @U,68,' g( =a@ ,G: >84EP *23 y.4E4E93 8A]Q( :F@ALY4E&t* & Y X' *]L>#0 A+&+* & I
~H 4E.D7 'K&S7>8<- . Y,<ETVW(EL @ 
L }+`@ ƒ C@ RC6AP.=<5iX2B @ 7K( CGe4 0J>U@K @H83 ACBBBX7N& (' Z 5 0J&n5  B 'K@ &. 5p0J@@ 90 B BG@ 1 Z]'K& 5 BG50R 0 7& @Bp1 t&GP@B6;A@ 4\<E(;3 5N B+p ]N 5 @

8R4 RI<- Y q(;M7 ;L(E@ c A+* N =/(;-/* 7LQ( >?<,@g4E* Y  =/4E* c N 8X(;7KQ( >>3GN  ;g4\0?-/C4 = A+3>3?4- ; 4E* Y Z(;#3 APX>H@M(
 A @G& 4\0?<- A+*c€ >9AE#0 A @GAPZ]=B' 3G2N ^ m* T L 5iBk p&+& C6@ 0;A@34\.<E(;B3  '  7 &  7;05@u' !~ H1N >?(G057(E0@5iC f>?(G@ g( @M@ (EZ @ ,G:6Xf =<I hg  H N 1 B . 0 Z$ B6@
 7 BG5pH BWt9B 1 0@3   ƒ
?]
c

K €d7e(G-:059GQ( g( > Y }I4-(;>>e4 93 >H@U@U8,8 (;* S8D=:ACC< B ACQ( >8>;-:@_90 82!~ 7 A+D* BT>>ACC4 > YDZA :I4- ; e4 l>>0 -B
 35*,0?(G3G9EN @,4E* & Ykrm&'g( =B+7 ,6:X,0o€ >HA Y2Z]-B'K*,& <EQ( >;(N X& *2C4p&M=4I_@ 3?-/3 ACa Bd4E* c ;20?V- U
 7 BG5 0 9B 1 5  0 @ KCK O] ?]
@ c X2*2(  pIN
 p €d(G05Q( > y4- >>93 @U8,(;* 8DACB Q( >o4E* Y1rmg( =B
7 X,0€ >9A YA-/*,<EQ( >;N j 8,(R€d4\90 8 u(;*,<E90 8 ACB m4E* YA+7 Z:I4- ;x -/350?3GN
f ('Q,  @BG5 ,6' 0 t,\@ a  c p ] @  K N
  zc A+* =:(;-/J* 7LQ( >?<,N j 8,( _7 C4 =<=VU AC>U=<Yci
€ 8,(;D* A+7K(;* A+* C*  =:C< AC>>-:90 8A7 <- @}€dQ( >>93 ;Fg( @M0?<- RE(EN ^ „* L 5wB1N
p&+& CG0@3 . B ' 7 &  7;0J5 ' H1N  & BG@C f @ @ Z ,G:f hg  H 1 B . 0 Z BG@  7 & BG5tH B9B 1 Z]' 0@3
T  k  ƒ @ ;A4\<E(;3  ?] @O€ AC>?90 =/4E* Yu@ y@C 6.@ 4 I N
 zc A+* =/(;-/* 7LQ( >?<,N _7eC4 =<=VU AC>H=<Y1i
€ 8,(;D* A+7K(;*A4K4E* Y190 8,( 8 I_*24E7 <- @G23 ACB ^ D* BOAC>>7 4\0?4- A+*uN ^ * j N fN
8R-:(G0505Q( >8<- @H8O@ FhN ung( @9:EQ( >;@h4E* Y dN ]82C4 8D>>4E7 4E*A-a@Og( Y2-:#0 AC>>3;@ f C+ , @ p&p. 0J@  &SZ 5 ,G: @BG5 /, ' 0 BG@
L 5wB t&p.t. 0J@3  H .'K&S .,@ ;A4\<E(;3 K O] K  @l~o4E7 7>><- Y2<E(E@ 
.€@  6}1@ 8Xg( @M(;7 7LQ( > N

8 A+*2C4 =Y ZN y* X,90 8ON  7 & f 5 ' BW 9B 1 Z]'K& 5 L 5wBl3 5 ,+ 0J@3=y  BG5 ' 0J@3 , @C  &+, 5 7;0J@3 @ RCAP=VU

XA7K( N  YY2-/#3 A+]* U)(;93 =:Q( IE@ m(;C4 Y2-/*,<,@ 
}€@ *6.@
N
 zc AP82* X7A-/4\#0 A D <- @M9E@ 8Rg4 R_<- Y uo-/* Y,g( =a@ 4E*L
~ 8,(;*O@ I05Q( RE(;* ~n9GQ( > D -B*2#3 :_-a@K€d4\#0 >8<- @9: 4\#0 A+*O@
8X(;*2*A-/3 X(Gg( =/3;@ C4E7 e4 :J>8-/93 82*24 XA7 7 C4 Y2-a@ I(;4E* E82(;4_@orXe4 :_-/7 )(;4\90 8,Q( >>93 ;0A A+*O!@ )(;3590 =:Q( I
)(;-B7KQ( >;@ !~ 8D>8-/3 )g( =<=B3G@u4E* Yeun(;*  82e4 A,N @M(;4E* I#0 AC>>( X* E>H@U82-:05g( @M90 XD>>
( BOAC> =4AC7AC4 =U Z@GC4 =:(
€dQ( >>3>-/3505(;*]0 I#0 AC>>4\<E(EnN f hg  YL3X f  B ' 0 p&p. @ a c 8] %@ SA RE(;7 7FQ( > N



















,
























,

,





-, ,



 











-, , ,





 , 















 



,



,


  



-



*
























,

-, ,

,





*

,

,





,:,

,











,



,









,


 

,

,

-, , ,



*













,







,









-, ,



,

















,





 -,













 





,






-, ,











*

,
-,





,



,

 , -, -,

,

-, , ,

€d(Q>iU
S:E(‚ 4e>>3#A+*ON 8 II*24E7e-<@rC4E3H8 j 4e7=:(;3GN 9B zZ @ 0 +,6' 0 BG@ . B ' 7 &nf hg @ a K c KCK  ] K p @
S;>>- =   N
X4\90 824E*2-/g( =[u(;4- 7?A D -:059E@ER_-4R un(Q>?<+7e4E*O@ 2A I un(;* U Z8A4CX=a@R4E*Y ER_-4R Z824 RI-:0GN S>?( -<=:(
 D e4 ;;g-/*,< m(G0 D AC>9:_3b~C4 @H8,(;4e7=/( ~!824e>>4C@M05(Q>>-/9;-/*,<)€ € j >>4G\ @\N ^ * L 5iB t&t& CG0J@3 . B ' 7 &
& & '  'K& ,6'
,G:nP
.
P &j) 'K& ' , , .' )SZ]' @uiAPX=<Y,(Q>;@
~  C@ @ *7/}@ 7@  5tX,@ P< X23?0 0B6@ N BG5OR 7Bt1 B6@ 9B6@ @  7;0J@3 @C 0 5t0 0 BG@
zc*-/J* ACI+>9>>4E-B*,3G<N  l-aZ@ @Gc C4 AP=B8Ae4 7* =:l( c 4E *2AZD* @GAE4\050?0?4- A+-a@ * 8 IAPQ( X,>HRIP< <-=B@M4E( 3 BOFACN> c XN Q( 8CAEC< ( >>e4 %~ ;AP82X2<- @#0 A, @ Y18Rg4Er R_AZ<- Y@ 2AyNPX2y0?-/4e*,>?<,<EN (Q^>;* @4EL *Y t2A&+& C7L(Q>?0.
5wB
CG0J@3
BW ' 7 &  0? ' 7 f @ @ Z ,G:h @ 'K& 5p@ ,6' 0 BG@ ,6: 9BG@ & 5 & @ p& BG@ g B ) 0 : & 9B 1 Z]' 0J@3 , @C -&(' 8 BG50R0@3
T g k .  k g ƒ D@ ;A4\<E(;3 8] 6@ u%A+35#0 A+*O@ .`@  6}@ SX,P< XA350 N
zEAc -/CJ* 7LI+Q(4E>?*,0 < *lAC-Hq@ >9>>u%-/3GA N A+* j* 8Aj C4 8,X\(  A (;A,4E@ 3>4- c 7AAI<- =/( -/k0 rmI g( AC=By=:Q( >>€ 35(G05Q((;>l-/*uUH#0 @ AGU € >8(G4EQ( *2> 3 )yQ(4E74EH3 8D^ * A]Y,Q( :FG( F,@ -/8R*,< g4 R_4E<- *Y Y yIe4 (;>>e4 <E>HQ( @H>;8u@ZN 4E* ^ Y*
unL Q(5wB>9:Et&+g( & =/Q(CGIE0J@@L3 ~ . .B`@  ' 7 6& } @ & B6Q( @7C>HX2 e4 @ >9'KI & 5t@ , ' 0 BGN @ ,G:qP BG50R . 7Bp1 BG@ LY&t& 5N ' B1N LY&t& 5  H .'K&S . T WL  L &ƒ @
K X4\90 82' 4E* f  -/*2Z-/C4 ,G=]:14Ef * Y >>- _4E3?#3 A+. *OZ/N SA+* U ' FZ& ;A4E*23>& 4- RE(rC4E93 8A-/*,<,N Z]^ '* L 5iB T p&+& C6k 0@3 . @ ;AB4\ <E' (;7 3d& p  8 & p @ ' HFN @
"?] 
R0V367 7 @!@
hg  H 1 B 0 BG@ 7  7 BG5tH BW9B 1 0J@3   ƒ
i€ 82<- =/C4 Y2g( =4;82-/4_@I3€ }`@  6.@ cg4 I   N
p $-:#0 AP=<Y  -:0 D -B*ON l-/*,(;e4 >krX4E93 82-/*,<  C( D j A AP= BTAC> <- =:(x4E* Y j e4 7=:( SYY>?(;3?3?-/*2<,N ^ *
L;g4\5w<EB (;t&+3 & CG0J@3 . BW @ ' 7 *& A+ *=0V?#0 >>' 7(;C4  =a@@ 'K]X& 5p,@ Q( ,67L' g( 0 BG@\@@h,G~o: 4E9*2BGC4 @YA 4_& @ 5 & @ @Mp#0 & ACBG7L@ Q( > & 5pH X$N , 5m(3 Q& ;>>-/,6*]'Q05, g( Y),-/* .&.[&+T, 6X ƒ @
?]
 CG0J@3 0J@
,6'Q,)l,.(&  H .p'K&i-. @ N I#0 A+*,Q( 7>>e4 :EQ( > YuN:@ 
* Y1g( YON:@  pIN 
 $-:#0 AP=<Ye -:0 D -B*O@ ce4 >>-:( UX*2*24 C(;-/7 4\0G@u4E* Y 8 A+D* A R\4E* .N Z@H82*2(;<- Y,Q( >;Q
N lr  4k93 @GC4 =Be4 7=:(E@
YA-/35#0 >>4- 7X,05g( Y Y24\0?4b35#0 >HX@M90 X>?(EQN f hg  5 , @ ., (' 0 BG@ . BG@ ,6'Q,;)+,.&  H .p'K&i .8@ a K c K 8] p pI@
8Xg( @M(;7 7LQ( >   N
X4E* @GI .N  I_* @H8ON 0 .p' 5p0 )SZ]'K& C f: 3BG5p0 ' 7 . N *AC>?<+4E* yC4 XDB^7 4E*2*ei€ XD7=/-B93 82-/*,<,+@ u!XD>H=B-/*,<E#0 A+*O@

.`@ */}@  N
8RC4 8=B-/4 C4 =<: 82-H@ *A+*2(- Xe4 AC>;@A4E* Y 8Rg4 R_<- Y m4\0?4 9@M9;e4 :FN R-<@MQ( >9A I  Z@GC4 =/e4 7=:(y4E* Y 8 II*A4E7 <- @

7 X=/4\0?4- A+[* ACBs90 8,( u%X20505Q( > IFiN ^ m* L 5wB p&+& CG0@3 . BW ' 7 &  8 & @ ' H1N = 0J5 .'Yf hg  H 1]B . 0 Z B6@
L X5t=40JI @ 0d1 : &p. N B 0 .' 5t0 )SZ]'K& C 9B 1 Z]' 0@3 TVLlk  ƒ @ ;A4\<E(;3  ?] @ *A+*=05Q( >?Q( IE@~ }@ *6.@
c
]XD>>7K(G(G0 ,-/*,P< 8 c4ED* : Xu@ cg4 I+4ED* :„uo4 D 4_@s4E* Y € >>e4 782e4 :\e4 > m4\P< 8Ag4 R\4E*ON  I_M
7 ;8A+* I 8R-/w3 U
#0 >84- 7X,05g( YKrX4E93 82-/*2<y-/*K4 _7 C4 =<=6 AC>U=<YON ^ U
* L 5iB p&+& C60@3 . B ' 7 & = B Z 5 ' 7      H 1 B . 0 Z
 'K& &' & : &p.4, .'K&S . T?   I&ƒ @ ;g4\<E(;3 ] K @ I(;4\0590 =:(E@  .a@ *6.@
cB6@ e4 >H@U@ 8 5p@ N  7;@B Bl360 @C  H
€d(G0?e4 > cg4 I_M7 APX2D* :CA Rb4E* Y 8Rg4 R_<- Y c4\9;- Q( >?(;3GN yC4 Y,(;-7 =B-/4  € (GQ( >lUH#0 AGU ;F(GQ( >E^ D* BOAC>>7 4\0?<- A+*  I_w3 U

05(;7 uo4E35g( Y A+* 90 8,(  6(G#0 >>- @\N ^ * €d(G05Q( > 8 >HX293 @U8,g( =a@ >>4E*A3 y4E4E93 8A]Q( :F@Z4E* Y X*]#0 A+* I
EA D 3?#0 >9A+*O@ug( Y2-/#0 AC>>3G@ L 5iB t&t& CG0J@3 . B ' 7 & = 0J5 .p'q @ 'K& 5p@ ,6' 0 BG@ ,G: P BG50R . 7Bp1 B6@ LY&t& 5N ' B+N L>&+& 5
.'K&S .xTVWL L
0@ RCAP=<X27 (
ACB.Xe& j' Z &  'K&.
Z]'K& & t&G@ ;g4\<E(;3Rp ?]  pI@
~ H 4E7 7>8<- Y,<E(E@ 
 }+`@ ƒ  6.@ e4 >U@HK 8  N 5 B 0J@ 9B 1 5  0 @
*A #A"C4\0?4- A+*uN !#","=%n'W)$)?KM;$;+4`^&"`/&;+4n-J4=" N



 , 





,




,



,







-, ,

*


  














,-,

,
-,

-, , ,









*










-, ,







*

,








,





 
,   





*

+








,



,

,

,







,





,




,












,




















,



,






-, ,

 











,


 , 





*

,






















,

,

-, ,











-, ,



,
 ,



*AC>9;82(gX23GN !#","=%n'W)$)1*$*,*n- K@B7=/$b$b,/1",}.-0b+;FK N

 zc N ^ 4E* 2

uo-/*A4e>9I _(;X 4e*D>H>H@HAx8 4Ej *?> Y(G(;3G€hN.4\ 0#@>>-<@GB6-45 A fN,6't0 BG€ @ AC7, =:@(G05C (EN9BG@ 4C' X5iB =:0 : @ j  AP=:a (Q >> 4E*c @M  (6,84E]* Y  I@00#AC >>X,4\<E<P(X23?m(0 gYX@MK 0?N -4A+*N^ *

  *+
K
Lun(Q5wA B>9*2E:t-&+(g& /= X(QCGEI0J4e@@LAC3 ~ e> . .4EB*@`Y ' 7 6& }2Y @ -!&  )B6(Q@7(;C>H-<,Y2X  (Q4e@ ;>>9'KNI & 5t @ , _' 0 -/BGN 7-@ ;,G:q:= ( P BG4C50XR =:.0w7U j Bp1AP=:(QBG>>@ 4E*]LY09&t& 8X5N-B35' B10#>>N -4LY7&tX2& 055 (gYj H rX.'K4E&S398 . j T 4eWL 7=: (ELNb&^ ƒ * @
-, ,

 p  X4eA
; 3505(Q> N !"$"=%n'W),)+*$*,*n-54€^1%67F" =o.- b&;8K N


   j N%LN-i,
X <E(;*,( C<y4E*K
Y rSAX -  28 4E*,<,N j A D 4e>H2Y 3  =4ACg7 4C/= m(G0 D AC>9J
: € +A 3?-:0?-4+A *A-/*,<,NZ^ *UL 5wB t&+& CG0J@3 .

'
&
p
.

'
f



k
P
.

K
'
&
(
&
'
l
&
,.Z 5 &SI& @ '^@A
; 4\<E(;3  p ] @_4E*

BW 7 = 0J5
h

g

g
g
B650R 7Bt1 BG@ @ 5t@
g
>> 4E*G@ -/39@G,A @O~ .@C*6.@1SA ER (;7F7 (Q> -, , N

  j 39,
X (;* U 4E* 
 c AP28 *2*JI  m<+4E*u@ 8X4E* FN 4C=<B= 4C@HO8 @Z4E*Y € (G05(Q
> 8 >H2X 39@U,8 (ga= N *DBOAC>HG@ -/*,< 4E-4>

D28 4e>> -/*,<
ACB €d(G(Qi> UH0#GA U €d(G(Q> Z(;39APXD>HM@ (;3GN ^ *xL 5wB t&+& CG0J@3 . BW ' 7 &  &  BG@C  @ 'K& 5p@ ,6' 0 BG@ ,6:‚P BG5OR8N
. 7Bt1 BG@ L>&+& 5ON ' B1N LY&+& 5  H .p'K&i-.UT WL  L +ƒ @`un(Q>9E: (g/= (QEI @L~ .@C*/}@ (Q7>H2
X 4e>9I -, , N

  S+
A 4E7 X-/3?4E*K4E*Y C7 -<> 2A+*,(;*ON S:= <CAC8> -:0928 7 -<@  (g@H28 4E*A-/3?7 8X(;3?-:<+*ON R,1I&p., @C   B6@B 0 
 
W& 7 , j0 BG5 @ pDa O] c    ]  @0E;8> -<= -, , N

  s(;*z
: 4\0?4 .NI€h4C2Y 7 4E*A4e728 4E*b4E*Y 2X * D 4C,Y (G(  >> -4A; 4E*A-<YD:ZX=<@HA8 4E-aN j ,8 (q~o4E35( BTACZ> ~%A ACL; (Q>> 4\0?-4ER (

C(G0 D AC>9_: -/*,<,N ^ * €d(G05(Q> 8 >HAX 39@H,8 (gH= @ 8> 4E*23 y4E4E3H8D]A (QF: @q4E*Y X*=0#+A *JI 2A D 350#>9+A *O@R(g2Y -/0#AC>> 3G@

  




,

,

,

,

,

,

,

,



LRCAP5w=B X2t7K&+& ( CG0J@3 . BWAC BY' X7 && (=' Z 0J5 &.p'q  @ 'K'K&& . 5p@ ,6' 0 BG@ ,G:Z]P 'K& BG5OR . 7 Bt& 1 pBG&M@ @D;AL>4\&+<E& (;5O3 N ' B1N LY&+& 5 @OH ~o.p4E'K&S77. >>-Y,T W<EL (E@ L &.ƒ @@
 ]
 6.@ c4eK >H@H8 N 5 B 0@ 9B 1 5  0 @
AC;A4C=€h4E*YXD>>4E*2<+4E*O@€>84e7824e:\4e> m4\<P824 Rz4E*O@n4E*Y =B- S;B^4C=aN u!X2-<=<YA-/*,<  A U8R-/4E7 (G05(Q>
€ € m(G0 D AC>H:I3GN]^ * L 5iB t&t& CG0J@3 . B ' 7 & = BG5 ' H1N  & B6@C f @ @ Z ,G:h     H 1]B . D 0 Z BG@ ' 7 &
Z 'K& & t& T k @L;A4\<E(;3
@ l4E3 s(G<+4E3G@) f@(*6.@
= B Z @C ,6' 0 BG@ . BW 9
@M0#AC7F(Q>
N j  AjB 4e1;;L(;4e5 >b -/*0  @  = w B Z  5p&@ ƒ ,G: BG@  &: K & j?'K& ] C K f 5 &l,G. 0@ 9B zzZ @ 0 +,6' 0 BG@ .
Tw  f  ƒ N
j 8DA+7 4E3o€h4e;A4CY24e:_-/3G@ c N ^ 4E* X2*D>9A,@,4E*Yb€h4\0#>>-<@G-4A fNI€ AC7=/(G05(EN X*24C=4I_3?-/3iACBl098,( FZ;L(g@M05(gY
_(;4e>H@H8 ~%A+350q-/*  :_-4;  -/350?3GNS^ * c N yN R-<=47L(Q>?0C4E*Y }N JN y4e>U=/3?3#A+*O@F(gY2-:0#AC>83G@BL 5wB t&+& CG0J@3 .
 7 & BG5pH T  P[f 
ƒ @RCAP=<XA7K(
BW ' 7 &  & BG@C  t, @CG0J@ ,  0 , @ P BG50R . 7Bp1SB6@ fW: 3BG5t0 ' 7
ACB3eX & (' Z 5 &l B 'K&p. 0J@ 9 B 1 Z 'K& 5  0 & @ t&G@;A4\<E(;3  8] @6nu (Q>?<E(;*O@ EAC> D 4gIE@ c X=<I  KCN K
~RN >>(G<k€i=/4F_0#A+*O@ C4 54E7-AP824E* m4 ?4e>>4E7 4E*O@O4E*Y X*YD>?(;4  N m-@H824_NS@Q@M(;3>3?-/*,<m(;4e>H7JI
~!AC;A-:(;3ACB Z(Q;=B-<@G4\05(gY 7 5(g@M0?3.-/* 4 8X-B350#>>-47X205(gY *JR_-4>9A+*27K(;*]0GN  7 & BG5pHSB 9 B 1 ]Z ' 0@3
 H .'K&S .8@ a c K O]  @  N
$-<=<=B-/4E7 €iX,<P8ON Z:I-4; l -B350?3  €>HAC7A4e7A-<=/-B350?-<@  =:05(Q>>*24\0?-<RE(X0#A ou 4C=/4E*@M(gY j >?(G(;3GN 9 B zzZ @!0 N
t,6' 0 BG@ . B ' 7 &lf hg @
a  c    ]   @ c X2*,(  N
X*24E*]098 C4eA,@ }4e>?0982-4:el 4e:_39827 -B*24e>>4gI+4E*A4E*O@ ZA+*,(;398 ZX>>4E*24_@ C-<@H8A4e>HY y4e>9;l@ 4E*Y Z@GAE050
D8,(;*D:E(Q>;N  A+4CY uo4C=/4E*@G-B*,< -/* I0#>HX@M09XD>>(gY € €  I_3505(;7 3GN+^ *L 5wB t&+& CG0J@3 . B ' 7 &  & N
L &+& 5N ' B1N >L &+& 5  H .p'K&i-.jTVWL  L +ƒ @Mnu (Q>9:E(g=:(QIE@u~ }@€* 6.@
B6@C  @ 'K& 5t@ , ' 0 BG@ ,G:lP BG5OR . 7 Bt1XBG@ >
(Q7>HX24e>9I N













 -,  





,












  











,









,



,

-,

,





,









,

,



* 












K



-,



,




,





-, ,

*



,












-, ,





-,

,







-, ,

,








p




=4R_-/4

C4\0?*24E3?4E7IE@€h4CX= >> 4E*@G-/3;@ c4e>9: rX4E*Y=/(QIE@ C-<@H8A4e>HY y4e>H;u@s4E*Y D@GAE050Z82(;*D:E(Q>;N
B ' 7 &xf hg  H 1 B . 0 Z
g ƒ @ ;A4\<E(;3  O] @ _4E*
 ZI =4R_-/4 m4\0?*24E3?4E
7 IE@ e4 >9: rC4E* Y=:Q( IE@ m-@H82e4 >HY ye4 >H;u@t4E* Y Z@GAE050 Z8,(;D* :EQ( > N E;;=/-<@G4\0?-4A+* U
=/(QRE(g= *X=/0?<- @G4E35[
0 X23?-/*2<[%~ A+*]05(;*=w0 U YYD>>(;3?3?e4 7=:( C(G0 D AC>9:_3GN ^ * L 5iB t&t& CG0J@3 . BW ' 7 &  7;0J5wC
AC@BQ'KX& 5p& @j',6Z ' 0 BG&t@  ,G: 'KP &. BG5OR . 7Bt1 BG@ Z]'K-& &(' 8 BG&5OR & tC &M@  ;A5w4\B <EZ (;1 3 9B zZ3@ q@ .~0 +, ' @ 0 BG @ A+* TVYD A+ *Oa@ ƒ @ RCAP@ =<SX27KA RE( (;7 7LQ( >
K]
N 5 B 0J@ 9B 1 5  0 @
z!#c AC"$>H"&Y2%(4E'* )$)+*,*$*.m--:{#0505^+Q( o,> _$N o€/+{,9 3-0b&;8K6 )
 8J1I %#o$)={$R;#* b&X,)=0591g( 4$=<=/@4 " ,2$2$~o^Y4E-5*!"+0 K€2 N D@GC4 =:(EN SA,@ m(;C4 =<=4IEN
X*]#0 A+* I EA D 35#0 >HA+*c4E* Y € (G05Q( >8 >HX293 @U8,g( =aNo3€ * j le4 >?<E( U 93 @GC4 =/(E@F€dQ( >>3?-B3505(;*=0C€ (GQ( >lUH#0 AGU ;F(GQ( >

_#0 AC>>4\<EU
( C0?<- =/-:60 Ig]N ^ * L 5iB t&t& CG0J@3 . B ' 7 & {03G7 ' 7 P BG5OR . 7 Bt1 BG@-B '  Bt10 . 0J@ k 1 & 5 , ' 0@3

.
K
'
S
&
 H .tT  B 'Wk  N 6WW ƒ D@ ;A4\<E(;3 p ]  @ D@H8DA+3?3 =/7 C4 Xu@ XQ( >>7 4EJ* IE@ cg4 I N
 X*]#0 A+* I 2A D 35#0 >9A+* 4E* Y`€d(G05Q( > 8 >HXA93 @H8,g( =HN.€h4E35#0 >9I Z@GC4 =/e4 7=:(E@ Y2-B35#0 >>4- 7X205g( Y AC7 5g( @M0 =4AZ@G4\0?4- A+*
4E* YN>9APX,0?-/*,V< BOAC>-=/e4 >?<E( U 93 @GC4 =:[( ;L(GQ( >iUH#0 AGU ;L(GQ( > #3 I_3505(;7 3;bN ^ * L 5iB t&t& CG0J@3 . BW ' 7 &  = WL#f hg
 @p 'K& @F5prm@ ,6(;'- Y,0 BGg( @ =47L,GQ(: >?9<,BG@ @X Q(& >>5 7& @ 4EtJ* & IEB6@ @ SA RE0 (;.p'7 5p07L)iQ( Z]> 'K& C  H N.p'K&i .nL{:,6' BG5 -.zT g 0 C C :& 8 , 5 & ƒ Z@ ;A4\<E(;3 ?]
X*]#0 A+* I EA D 35#0 >HA+* 4E* Y €d(G05Q( > 8 >HXA93 @H8,g( =HN I#0 AC>>4\<E( 4E*A4\<E(;7K(;*=0n4E* YY~oC4 @U82-/*,<y-B*K€   j "@ 
 4e& >?<E&(U 39@ @G4C=:Dp (Eaa@+Pp €dc (Q>>3>-/3505(;*]0 %@ €d8X(G(Qg( >i@MUH(;0#7 AGU 7L;LQ( (G> (Q> I0#AC>>N 4\<E(.m0?-=/-:0kIFN,f hg  Qk3L  k 1 & 5 ,6' 0J@3  H .p'K&i-.
 j0 8
  ]
X*]#0 A+* I EA D 35#0 >HA+*O@ C*2*2( U e4 >>-/( qQ( >>7 e4 >H>?g( @\@ c-:P< X,g( =`~o4E35#0 >9A,@x4E* Y €d(G05Q( > 8 >HX293 @U8,g( =aN
A~ 2^u
4 =/e4 >?<E( U 93 @GC4 =/(yQ( RE(;*=0Z* AE0?4- h@G4\0?4- A+*1-/* BT>>4E3?#0 >HX@M90 XD>?(EN ^ * L 5wB t&+& CG0J@3 .
j 8,]( Y,(;3?-/<+* ACBh_
'
&

K
'
&
6
,
'
BW 7  7;0J5wC @ 5p@ 0 BG@ ,6: P BG5OR . 7 Bt1 B6@  &' 8 BG5OR & C  5iB Z 1 9B zzZ @ 0 t,6' 0 BG@ T    ƒ @
RCAP=X27K(
ACBaXe& j' Z 5 &Q B 'K&p. 0@ 9B 1 Z]'K& 5  0 & @ p&MZ@ ;A4\<E(;3 8] K `@ q.~ @  A+* YDA+*O#@  K@
SA RE(;7 7LQ( >
N
zc e4C4 >?Xg( =:Yw0 U j _4EAP-B=:4_Q( >>@ 4EC*]-70JA+%~ 3 A+*]05-/4\(;0G*=@0 _ 05Q( YREYD(;>?* (;3?3>e4>><-77=:7( =:m(E@ (GX0 *2AC*2>H4 :Iy3GN e4 >H^ =B* -/*O€d@E(G4E05* Q( Y > I8 05>HQ( XAB^4E93 *@H8,_g( e4=H@ >HA+<- >>XO4E7N *A8 3 I_y*24E4E4E7 93 8<- @GA]C4 Q( =<:F=<I @
4E* Y-X*=#0 A+J* I 2A D 35#0 >9A+*u@dg( YA-:#0 AC>>3GY@ L 5iB t&t& CG0J@D 3 . B ' 7 & = 0J5 .'n @ 'K& 5p@ ,6' 0 BG@ ,G: P BG5OR . 7Bt1 B6@
L>&+& 5ON ' B1N LY&+& 5  H .'K&S .xTVWL  L +ƒ @0RCAP=<X27 (  ACBqXe& jN ' Z 5 & B 'K&. 0J@9B 1 Z]'K& 5  0 & @ p&M@
;g4\<E(;3 8] @l~o4E7 7>><- Y,<E(E@ 
.`@ */}@ ce4 K >H@H8
_05Q( B 4E* ,e4 >9A+<- XO@ ]>>-B93 82*24€dN X27 7 C4 YA-a@ m-<@U82e4 >HY c )
N 8 X2*A*O@ I05Q( RE(;* 8fN >><- 77=:(E@J4E* Y
rC(;D* >9I N uQ( R IEN X* X*2C4 =4I_3?-/3 ACB%^ *]05Q( >>*,(G0f!~ A+*=05(;*]0 8Xg( =/4- REQ( >HI  I_3505(;7 3;MN ^ * L 5wB t&+& CG0J@3 .
&. 036@ , @C O 1 : &SI& @ 'Q,6' 0 BG@ TOk $  ƒ @
BW ' 7 & = 0  ' 7  H 1 B . 0 Z BG@ k 1 & 5 ,6' 0@3  H .p'K&i-.
;g4\<E(;3 p ] B@ u%A+35#0 A+*O@ 
.`@ */}1@ 8Xg( @M(;7 7FQ( >
N
K AC_Bs05Q( €dB 4E(G*Q( >iUH_#0 e4 AG>9U A+€d<- (GXuQ( @A> €dN <- ]=:( >8Z-/93 8282e4 *2>84 -/*,]< X2 7 I_357 05(;C4 7 Y2-H3G@AN 4E^ * * Y,c_e405Q( >?RE0?-/(;* * f8fN N y-:>>(;4- *,7g9 7=:(y=:(E4E!N *  Y6€ >>(;4E4EH3 93 82XD4E>>*=(;07K(;N*=0 Z8,I(;90 D* XA YIEI @
c
g( YA-:#0 AC>>3G@ g Z :V' 0 I& C60 , 9B 1 Z]' 0J@3 , @C  &' 8 BG5OR0J@3 T g g\  ƒ Q@ RCAP=X27K( K  ACB  L3  Q@ ;g4\<E(;3
p  ] @ c 4EJ* X2e4 >HI N
p X-/7 4 _e4 >893 82e4 > 4E* Y D 4E*2- 2A I @U8DA D Y8JXD>HIEN  m4E* YDA+7 I#0 >HX@M90 XD>>( BOAC> ;]U
0?-B7 X27 ~oC4 @U8,( ,-:9G( 8R-/35#0 >84- 7X,05g( Y rX4E93 8 j e4 7=:( a 8Rr j c € (GQ( >lUH#0 AGU € (GQ( > 8C(;3>-:<+*ON
!#"$"&%(')$)$^+o|C/1<.-;=o$9#)$^FAB7+)#b7- &)=GsCDFG$G€D8G @ @M#0 AC7LQ( > N
ZI

 Z @G4C=B4e7=:(c~%A+*]05(;*=0wU YYD>>(;3?3?4e7=:(
m(G0 D AC>9:FN ^ * L 5iB t&t& CG0J@3 .
B6@9B zzZ @ 0 +,6' 0 BG@ .jf 5  70 'K& (' Z 5 &.T, @C L 5iB ' B  B :2.T    k g
8R-:(G<CA,@O~ . @C*6. @7 X,<PX2350 -, , N







,

,



,

,


















-, ,






















+

,




 



,






,



-, ,



,













,

-, ,

,


 ,, , 






 ,,

-,

,

-, ,

,





,

,







 





 

-, ,







-,

,


 ,, 














 ,,

, 





















,


 ,,





-, ,





-, ,



















,


 ,,

,

,

-, ,



*

*

,


-, ,

EAC7L(Q>?0 I(gY,<E( D -<@H:j4E*Y[€i82-<=/-4;;F( =/4#AP=:(G0GNf @  @ ' 5wBjC Z(' 0 BG@ ' B ' 7 &tf @ ,G: H . 0 . B f: 3;B+N
5p0 ' 7 .8N  YY2-B3#A+* U)(;39=:(QIE@ Z(;4CY2-/*2<,@  .@` 6}@   N

 ,    j 
^ 8D+
A 7K(EN !#"$"&%(')$)C7="`/=^&"&!`;8K -07$7+23-JA =o=_ $2&}q- ,{&@ N

 , zc (0>> (QI Z2
8 *,(;-2Y 7 4E* 4E*Y 8R4g_R -<Y ~XNn€h4e>9:E(;3;N m4\0?-<A+*24C=/-:06I 4E*Y _(g=4BaU ^ *]05(Q>?(;350k-/* €d(G(Q>k0#A

€d(G(Q> m(G0 D AC>HI: 3GN ^ *tL 5wB t&+& CG0J@3 . B ' 7 &  &  BG@C  @ 'K& 5p@ ,6' 0 BG@ ,G:nP B650R . 7Bt1 BG@ LY&t& 5N ' B+N L>&+& 5
 H .'K&S .tT WL  L &ƒ @Cun(Q>9E: (g:= (QEI @O~ }@€*6.@ (Q7>U2X 4e>9I -, , N

 ,"  u!X #AC> _-</= 4\<P2
8 -H@8u%AC77 I u!28 4\050?4C@H28 4e>  (G(E@=4E*.Y €d(G05( q(g:= (g,8 (Q;> N ,X (Q>9I EAPX,0?-/*,<X-/*y098,( j (Q>9>>48R-4>
8R-/3?0#>> -47,X 05(gY 8R-4?> (gM@ 0#AC>HgI N ^ * R-<M@ 0#AC> -4>H+A -<YX 4E*Y ?28 -VU  - ?A8 4E*,<,@_(g2Y -:0#AC>> 3G@`L 5wB p&+& CG0@3 . B ' 7 &
 L3  N    k g    @ZRCAP=<2X 7K( K    ACB  L3  @PA; 4\<E(;3 ?] -," @Cu%+A 350#+A *O@  .@, 6.@S2X <P2X 350

 ,,





,

,
,



,

-, ,


 ,:,, 

Z>> -<Y28 4e>  >>-/*A-4Rz4E3>4E*e4E*Y i=<=:(;* F(G<PXD>>4_N m(G0 D AC>H:  (;4E39XD>?(;7 (;*=0Z4E34 ~%A AC;L(Q>>4\0?-4RE( *]05(Q>iU
;>>-/35(EN0^ *e€ (G05(Q> 8 >HX239@U8,(g=a@ >>4E*23 y4E4E398DAI(Q:g@I4E*Y X *]0#A+* I EA D 350#>HA+*O@=(gY2-/0#AC>>3G@L 5wB t&+& CG0J@3 .
BW ' 7 & = 05 .p'  @ 'K& 5p@ ,6' 0 BG@ ,6:P B650R . 7Bt1 B6@ L>&+& 5ON ' B1N LY&+& 5  H .p'K&S .tT WL  L +ƒ @DRCAP=<XA7K(  
ACYB X& (' Z 5 &l B 'K&. 0@ 9B 1 Z]'K& 5   0 & @ p&M@DA; 4\<E(;3   ] @u~4E778> -<,Y <E(E@  .@C 6}@ c4eK >H@U8


N
j I >9A+* _0?4CY2-/*,<,@F€ (G0#>HA+3 4E*2-B4\0?-/3G@g4E*Y c4e>9I uo4e:E(Q>;NR€d(G(Q>iUH0#AGU ;L(G(Q>.~o4C@H82-B*,< Z@U8,(;7K(;3C0#A
 YYD>>(;3?3 =/4E398 ~%>HA D Y23;NM^ * €d(G05(Q> 8S>UX239@H82(g=a@ >84E*23 y4E4E398A](Q:F@ 4E*Y C*]0#A+* I EA D 350#>HA+*O@
(gYA-:#0 AC>>3Gl@ L 5iB t&t& CG0J@3 . BW ' 7 & = 05 .p' @ 'K& 5p@ ,6' 0 BG@ ,G:~P BG50R . 7Bp1 B6@ LY&t& 5N ' B1N LY&t& 5  H .p'K&i-.
T WL  L +ƒ ?@ RCAP=<X27 (  ACBnX& (' Z N 5 & B 'K&p. 0@ 9B 1 Z]'K& 5  0 & @ t&G@ ;A4\<E(;3 ?] @t~o4E7 U
7>><- Y,<E(E@ 
}€@ *6.@ cK e4 >H@H8
^ A+* I#0 A+<- @G4_@ EAC7LQ( >?0 *AC>9>>-B3G@ 8X4 RI- Y 4- 7L(;* USA D g( =<=a@ 8X4 RI- Y yN y4e>?<E(Q>;@ N >>4E*23 y4E4E398A](Q:F@
>>4ED* : 8Xe4 7LQ( :F@l4E* Y)rXe4 >>- uoC4 =/e4 : >>-/93 82*A4E*ONJ!~ 8AC>HY  Z@GC4 =/4e7=:(K€ (G(Q>lUH0#AGU ;F(G(Q> A AC: X; I(Q>iU
R_<- @M2( BOAC> ^ *]05Q( >>*,(G0 S;;=/- @G4\0?4- A+*23GMN    f hg  5 , @ ., (' 0 BG@ . BG@  &' 8 BG5OR0J@3 @ a c ] @
Q( 7>HX2e4 >9I
N
ce4 >9R_-/* j 8,(;-B7KQ( >b4E* Y <- @U824\g( =luXN c A+*,(;3;N REQ( >H=<AJAC: Z@GC4 =/e4 7=:( X4E7K( IQ( >9R_<- @M( A+* 4E*
REQ( >H=/g4 I
m(G0 D AC>9:F]N ^ e
* L 5wB p&+& CG0@3 . B ' 7 &  8 & @ ' H1N  & BG @C  @ 'K& 5t@ ,6' 0 B6@ ,G: 9BG@ & 5 & @ t& B6@
.0 p' 5p0 )iZ]'K& Ce9B 1 Z]' 0@3  H .p'K&i-.jTV   +ƒ D
@ ;g4\<E(;3Cp ?] K @ X-:(;*A*24_1@ SXA35#0 >>-/4_@ c X=4I N
K j 8D>?(G( 8X(GC< >?(G(;3GN !"$"&%('W),)+*,*$*n- "=!o ={ =9,o `7- b+;FK N
p €hC4 X= N j 93 X@U824- I+4_N j 82(  4E* Y27 e4 >9:crC-:Q( >8e4 >H@H8JI  C( D rC-:Q( >8e4 >H@H8JI*BOAC> 2APX,0?-/*2<b-/* s(Q>9I
'K& e4 (>?' <EZ ( &pm. (G, 0 D AC>9L :_3GN ' ^ m* :L .x5iTB p&+& C60@k 3 . B ' @D7 ;g& 4\f <E(;h3 g p  H @ 1 IB 0?. 4E0 Z*DBOAC>HBGYO@@A~ 9.B z@`*Z/}@ 0 @1+, ' X,0 BG<P@ X2. 350 f 5 7;0 NN
  ggƒ
]K
5
@C 5wB B B
 
 l(;93 =/-:( t4C=/-/4E*]0GN  Z@H82(;7K
Z1 ' 0J@3 @ a c p 8]  @ c( g4 IBOAC>  4E35N 0X€he4 >>C4 ==:g( =d%~ A+7e7 X2*A<- @G4\0?4- A+*ON  Wf g w B Z 5p@ ,G: BG@ 9B N
ce4 >H@  C4 =<Y27 4E*4E* Y 8Rg4 R_<- Y 4\9;- Q( >?(;3;N j 4E*,P< =:Q( >  ~n(;*2#3 AC>893 824- ;]U m(;3?-/350?4E*]0K€ XD7=/-/93 82-B*,<
ZII3505(;7 uo4E35g( Y A+

* 8SAZ@QX27K(;*]0 *=0?4E*2P< =:(;7K(;*]0?3GiN ^ * L 5wB p&+& CG0@3 .  BW ' 7 & ' 7 f hg 9B6@ & 5ON
& @ t& BG@ 9B 1 Z]'K& 5 , @C 9B zZ @ 0 +, ' 0 BG@ .  & Z 5t0 ' H @ ;A4\<E(;3
pI@s€ 8A<- =/C4 Y,g( =4;82-/4_@g3€ .@
]
 6.7@ SA RE(;7 7FQ( > N
ce4 >H@- C4 =<Y27 4E*u)@ ER_-:g( = 8fN EXD7A-B*O@X4E* Y  AC>H>>-:( 4E-/90 8 %~ >84ED* AC>;N € XD7=B<- X23  2AC7X2350G@

7 ;LQ( >iU RI<- Y2(;*=0G@X~o(;*2#3 AC>>93 8A4- ;]U Z(;3>-/350?4E*]90 )Q( 7 € XD7=/-/93 82-B*,<  II3?05(;71N ^ * L 5iB t&t& CG0J@3 . B
j 4EM
' 7 &t 0@ ' 7      & iZ 5t0 ' H  H 1 B . 0 ZJ@i;g4\<E(;3ep ?] q
@ unQ( >9:Eg( =/Q( IE@o~ .@ *6.@ SX2P< X2350
N
,

,

-, ,


 ,:,:, 


















 ,:, 





-,

 
,

-, ,















,:,

,





,

-, ,


 ,:,
 





*



*










 ,:,

 ,:,








,








,



,





,











-, ,


 ,:,





,:,


 ,:,








 ,:,

-, ,









,

,


,











-, , ,

,


K




 ,:,


^ 4E*Jr}N $-:0505(;*O@" =/-/350?4E-<> *
 AGL4\0G@]4E*Y j -/7MAE098JIf~XN1un(g=<=aN g , @ , 360J@3  03 ,) H 'K&p. y 9B
15 &p.t. N
,

&



Z
&
J
'
W
.
,
O

,

&
8
.
N
*

C
A
>
?
+
<
E
4
*
y
C
4
D
X
^
B
7
E
4
2
*
Y
*
€
D
X

7
B
=
/
9
3
2
8
/
2
*
,
<
F
@
!
u
D
X
H
>
B
=
/
,
*
<E0#A+*O@
0J@3 @C @C ?60J@3
B
@
@C
3

.@`*/}@ c4gI
 N
4C8AJ,
A N !"$"&%('W),)+*,*$*n- }C^F!`;$;3-0b+;FK N
u05n(;(Q7eER (Q3G>HN_/= (Q^ I *„L 4E*,p< &+& 4E*Y . rm(gM@ 0#' AC> & q4e>H& G@ -/4' U *AP& /=  -/*24_N  ^ 7-'K& ;>9A ,6_R ' -/*,< ,GI: (;4e>H@H8$& -/*& €dt(G& (Q>iUH0#AGU €d.(G' (Q>,)SZ]I_'K& 3wU
5iB
C60@3 B 7  8 @ HFN  BG@C @ 5t@ 0 B6@
9B6@ 5 @

B6@
0 5t0
C
Z
'

.
K
'
S
&
U
.
V
T


@
;
A
\
4
E
<
;
(
X
3
p
@
R:
;
(
2
*
2
*
_
4
/
@

X
2
5
3
#
0
>
>
B
_
4
@

X
4
=
I
N

+

ƒ
]
c

,

,

9B 1 0J@3 H
 
K
un(QER (Q>H=<I 4E*,<c4E*xY rm(gM@ 0#AC> R4e>HG@ -/4U *AP/= -/*24_N 8X(;3?-:<+*2-B*,<14 DXDL; (Qi> U L; (G(Q> C(G0 D AC>9F: N_^ * L 5wB1N


,


 ,-, 

 ,


,

,


 ,  


 ,

 ' 7 &x

 @ 'K& 5p@ ,6' 0 BG@ ,G: 9BG@ & 5 & @ t&

;g4\<E(;3 K ?]  , @6un4E*2<+4C=4AC>?(E@^ *Y2-B4_@ c4e>H@U8 -, , N
r 2X - ?824E*,<,@ C3H82-/398  A](g=a@h4E*Y m4E7K(;398  A RI-/*Y24E*ONxC3>-/*,<1098,(
^ 7M;>HA ER ( ?> (G(;*,(G0€d(Q>9BOAC>>7 4E*@M(EN ^ *xL 5iB t&t& CG0J@3 . B ' 7 &  8 & @ ' H1N =



p&+& CG0@3 .

B

0J@ &('K&+& @ ' 7



_7 4C=<=VU


AC>U=<Y *A Y,(g=0#A
I
f
Z
@!@ ,G:€w BG0J@ ' 9BG@CN
TVW = k  k g ƒ T B : <
Sƒ @


;g& 4\5 <E& (;@ 3 t& B ' ] 7 &Q  @(C ( D9B AC1 >9]Z :F'K@ &  5 f, @@`Cm 96.B z@ czZX2*2@!( 0 t,6' 0 B6@ N .  B 0 &(' 0 &.

7K(G0?4CYA4\0?4[A RE(Q>H=B4gI
K BOAC8,>
(;>?*,(;< 3#AP?XD82>H4E@M*,(k<,7 @ 4EZ*28J4\XA<E7 (;7-/*,(;< *=Z0K82-/-a*j@O4E€ *Y € c 8R-/*,r < j ?N8 XO^ * N  L t&t& 35(g=4. BU AC>?<+'4E*2& -:9G(gY)
&
5iB
CG0J@3 B 7  B6@C  @ 'K& 5t@ ,6' 0 B6@ ,G:
P BG50R . 7Bp1XBG@ YL &t& 5N ' B1N YL &t& 5  H .'K&S .tTVWL  L +ƒ @Cnu (Q>9:E(g=:(QIE@L~ }@C 6.@ (Q7>HXA4e>9I N
p nu (;* fN ?824eA,@ c AP8A* XD7A-B4\0#A D -<@M9E@\4E*Y C*]098DA+*JI)8.N c A+35(Q;8ON j 4e;F(;3?0#>9I C*^ *DBO>>4E350#>UX@M09XD>?(
BOAC> 4CX=:0wUH0#AP=/(Q>>4E*=0 $-<Y,(U 4e>>(;4 A @G4\0?-<A+*b4E*Y EAPX,0?-/*,<,N j (g@U82*2-<@G4C= Z(Q;?AC>?0.R ~nu E~ 68>U U
@6X*2-4RE(Q>>3?-/0kI ACB~o4C=B-4BTAC>8*2-/4_@u(Q>H:E(g=:(QIE@€un(Q>9:E(g=:(QIE@O~ .@C*6.@7S;>>-<= N




,


 ,

TV   ƒ @



,6'Q, {@360J@ +& & t5 0J@3

BG@

 



,









-, ,





*





*

0J5 .p'





-, ,


 ,





,:,

K









-, ,

,

,


p

,

,

,