A New class of algorithms for software pipelining with resource constraints

HAL Id: inria-00074638

https://hal.inria.fr/inria-00074638

Submitted on 24 May 2006

HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

A New class of algorithms for software pipelining with resource constraints

Christine Eisenbeis, D. Windheiser

To cite this version:

Christine Eisenbeis, D. Windheiser. A New class of algorithms for software pipelining with resource

constraints. [Research Report] RR-2033, INRIA. 1993. �inria-00074638�

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

132 2547682:9;476"2

2 <= ">?, 9A@ *5#%$-B8' 2

2 # 2 CD'E#F, @ *5#%$-B8' 2

, @ *0$G 2132H ,I/G' 4J2 *0'

,

4

B8' 2 4

,I' 9 #

KLNMOLOP+QSR

TVUEP5R0WYX 2 6"2 !; "*7Z[ 25132]\

^ 9

*_

4J2

2 /`L-acbPSdeW0fhg0WiRSRjPSP

|?}0QSW0W

~7€]_%‚„ƒ…ƒ‡†ˆ

‰{ŠF‹GŒF%‹"ŽV‘’V“=‹N”G•V5–=—J˜{™“=š7™eŠF‘‘Š:›œ”œ“=

–F›Ÿžn –¡V”G–O‹G“=š7”GŒ¢”G–¡‹

£ ¤ ¥¦ §n¨£ ©© ª‡«

£¬¨­ ªY®[¯5°²± ³ © «ªY® ©ªY«D°²¦ £¬®[¥

´²¯]´²¥¨¯J¤ ¯]¤ ­ ¦ ¯5°²± ®[¥n©ªYµ ® §n¥

§<ªY¤ ©Ÿ°²® £¬¯J¤ °‡©

689 $-!#($G 2 hF¶8KhF¶

*0 3$ 2 /r· = hF¶8

!#"

$ $ %

& ' ( ) *+

, - '&

, ) ,.

/103254765894;:-<>=?4@6A<B:CD<B4@61E

FHG(IJFHK IJLMONP <B: MOL#P 298

QRL#SUT 4V:W<JX3<ZY L#[;P-M < T#P]\3^`_ aObc

dfe3agcfhji

<>/k0-<O69:

Tml

/`<nXo<qp

rsItK(G /u=

QRT :34@< [wv 4;:-X0-<B476A<B2(x

y 0-<>zt:34;{<B2|694;8 l}L#~s 4 M 034@€ T :

 h3a  =k=`/ƒ‚„C P 4 [ X4V:W€

aOh…b3aZ^

<

T#[†K {<q:

P <

K

:3:

K

29C

L 2

\W‡Fkˆ…e3aOb…‰#Š  a …

=

y‹K?y

‚ Š z

G(F

‚

ŒŽ…9’‘…“f”–•˜—D“…™š‘#›|™+•˜œ˜™+žŸž’ w‘¢¡9›9›A”£•˜œ¢¤¦¥†§H ]¨g©9ª¬«…­®(ªO•¢”¦¯;¤¦°;œ±…²³‹ªA´µ«¨…¶

·

´¸°;”£¹A°;’‘˜¤Dº–¤@•˜‘¢’”£¹?”š»…œ˜5Ÿ‘•¢¤@›|”–•˜œ½¼¦¾;²›5œ˜’¿]™+žm©À”š»Áœ®“…™š•¢¤ÂªO’›A¤@ž’’¹9’¹9ƐŸ¹?ªO•¢¤@‘˜¤@¹A°;¤†”š»«…¤@‘¢”£¡9•;°;¤]±#”–¹9‘˜œ¢•V™š’¹Hœ˜‘¢ÄÆÅ

™š›5›|¤¦™+•˜¤¦¥½’¹Dœ¢9¤3ªO•˜”9°;¤Ž¤¦¥H’¹9㑔š»¬ªn™+•V™+žŸž’¤@žq±#”–¿D›9¡5œ˜’¹9ÍO¤¦°¢9¹9”£ž’”–㐒¤@‘¼ÇªO™£±##ȘɣʖÅ@ËH´¡5ã¡9‘¢œÊ9Ì;Ș©H¤@›5œ˜¤@¿w§A¤@•…Ê9ËÍ̦ɖɣÊ5Ë

²§9¹9’¹9‘¢—ÎË9«Ï¡9‘˜‘¢™9¶

Ð

¤;ÈÇ¿†™š’ž®ÑÒ±#9•˜’‘˜œ¢’¹9¤£¶Ò¨O’‘˜¤@¹H§A¤@’‘VӐ’¹9•˜™5¶»Ô•

Õ

¤;ÈÇ¿†™š’ž®Ñ“…Ÿ¹A¥H9¤@’‘Vӑ¢¡9•V™@¯+¶¤Ž¤¦°;‘¦¶¡9¿½°˜B¶¤Ö¥H¡

!"$#% &(')#*+#)-,-./0*12)-3*1&+#$-4")5- ,67 8

'"9*:;'"<'" =;#- ;>$2 &?#!#'@#A)5)-&B2,C ;#9-./#A)D'"E

&-$'"F0:,:G H*1I'""I&-<'".J)7"K9:"'"L'" ;#- !"I&+'

./#M2.?#;E%N,;#.OG PQ<# ER>FSTB'" T;U*V&NXWY;Z&2P:5)E[

G#- <"#P)-*\CF+PEQ9*IB]*\&+#^74")_7 E`)-!JP!Q9#'M- ,H+")-.< ;#Q

G#- a;#P)-H*BEC_bI !9;#CMcH#d_*B%;#M&J- E E ZJ)7 ,C

*VH,)-P#)VGA#]- ;#P)-0 @E.9- +<egfhjiCkAl]fmnkeV]*od)-!Ip4'" E&

E.9- 99'E:)-9*q#'-"#- r]*od)-!sJ##)_)DE#"#<E E '-9#

#TYEt#] Ea/:;'":#],`'"C *\./H&-tGC-:T)-Qu'".<:EaGA#]-

;#P)->

vs<&w#Z4- s;EH#'s9=7.%#)L:,:9x1- E:'"EaPQr<-,=

:E:;'"^Lyh;zge1zgy;{|"=:;'"};Z^)-!H./#QB EH2P^: )_)-ER>qST NC.<F-.<4;#

# EJ, ;#)V'#XZ!&2GEC'#)I:)-;C /: &- EC- ,`E,C '"#Q<

#'7GC/J-./#)+C:,:>%vs#)s&w&w9')#H*B*1&+#9-")_- ,

#)-,-.%L'#] P:E%9, "#$'"E2*\"K)_'7=)7Q~#EGA#] '"E-")_- 2*1: EJ-

S ")I€C‚9'">

ƒ„…I†9‡nˆ‰'"cE+'E:)_7 ,4Zc=*\&+#F-4")5- ,4Z- :'"- Šg)-G")R#;#)_)-")_.rZC€‚

'"Z"K)_‹'"=)7Q~#EGA#] '"Er-4")5-

ŒŽ„w„

‘

9;#4C!9: < C:G")_)7')#<ER’“#A)7,C-.<d:2)-<-")_- )-,]‹'-")+E

P:')-#G'+'" ;#A7 FE2C:;'"> ‘ :G")_)-$#'+ :^.JLE+,F” L”

E:/'"E–•#HEq”P-q=7.%#):+EDc'":;•#$'" ;#A7 FE2C:;'"+•F'".<)-"K

—

:4)- E UEC_˜`'_)-9•#,C;#.<.<^.~™.JN•#2)#9./#A7 I>FšF’›#)-,-.<'" T `E:K

”

;#]4W`ER’›#P"ERZV C:<'" :‹= 9: ;#P)-E”=GA#=7C 3,)-P#A)74:9)#œP:')-Z

'".<.<2T)-qCL”;#=7C $”;#- - Eq” E#] !XZ /'".<#C'";# )7^;#]P)7E+”G#-

”

")”.J !;#A7q'" E#] !+#:K/CL”;#=7C qE0)‹#–P:')->šI#d)7C ,::BE$'"2;#P)-E

”=GA#=7C rEq”.–7 H)-<Eq”P-$EH)#%P:')->$D :-ZR :2;#;#' +E0- EC'"N#]:K

”"#- +#- TF;EC # '”+E9")_)-<

—

:)-'" ;#- )_”#]:K@Eq” E#] '"

E$E ”0- !0Gq”_YU”>

ž0:.<

—

:+4:q#"7 EL: <E^”P7FC-./#)Ixj#G'^#:;#]- NE^)#:;'"

)#a)7:œ:_)_”}"Z+_)9:t™œ L”'"#A73EsEq”:)-[)‹#aP4:')-3rEC

—

:")

—

:

”=:)7"#;L”

—

:<:9)-%E,”NErE^”:)#,

—

:B4:G !%#"- E~'"rEq”P->uŸ2

)-:Z :.<C ! '".<.< s4:$:_)_/'"H#)-,-.<d:9,F” L”E:3'"E

:U)70-")_- /•#<#G# '"$"K)_‹'-<E:œc'":+€C‚NER’ S ")>

¡¢‡X£"¤N¥„^‰q"E # '".< BE'"cEZ-")_- 9)-,'-")Z#"#)_)¦”")_‹=.< !+- :'"Š

- ZC€‚Z§74")_7 s•#9#GA# '"H"Kc)_'-

!"#%$'& ()*'$+&,$'-.*/10 23#(4$'#%5768&,#9$'(3$:3-()*/-;(!< '=

¨+>Á× ?3@ACB!D'E8FHGIB!JLK8GNM/@O+PQJRFRDQSTG)UVDKWEYXNB!FZD+E[K]\ \\ \\ \.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ×_

¨+>5¨ `aX[GbM/FZE8@GcE8P/X[B!JLK8GNM/@O+PQJRFRDQSTG)UVDKWEYXNB!FZD+E[K\\ \\ \.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ×_

¨+>ed fhg/E8FZAFRi;B!E8FZUDjg/X8UVk/JR@IA \.\ \\ \ \\ \\ \\ \.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ×A×

¨+>ml nX8FZDG)FRgQJR@oUpq9U'O+PQJRUsrt@KuUP/X[G)@TvUDKuE8X[B!FRD'ENKhB!JZSUVX8FREYM/Aw\.\ \\ \\ \\ \.\^\ \.\^\ ×A×

¨+>ex yzFRAsFRENBE8FZUDK \\ \\ \.\^\.\ \\ \ \\ \\ \\ \.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ר

¨+>e{ ?3UVA@ KWUVJRP/EYFRUVDK \\ \.\^\.\ \\ \ \\ \\ \\ \.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ×d

| }~%%&,3%5€;4$:#%‚!##%5„ƒj4$+‚;*/(…(T*/$9$'$+$'- '

d+>Á× †‡M/@ S@ID/@[email protected]!DO:BˆKuFRAg/JZ@oKuUJZP/E8FZUD \\ \.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ×)l

d+>5¨ fhD/@ Eu‰+g@ U!p‹Š‡>Œ.>RŽ3UD/@O+P/X[B!E8FZUD \\ \\ \\ \.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ×!

d+>ed fhD/@ Eu‰+g@ U!p‹Š‡>Œ.>RŽ3Eu‘‡UsO+P/XNBE8FZUDK’\\ \\ \\ \.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ד

d+>ml fhD/@ Eu‰+g@ U!p‹Š‡>Œ.>RŽ3AUXY@oE8M”B!D9Eu‘•UjO+P/XNBE8FZUDK\.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ¨_

d+>ex †‡M/@ S@ID/@XNBJGBKu@ \ \.\^\.\ \\ \ \\ \\ \\ \.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ¨_

d+>ex+>Á× faDQ@^DQUD9kUVE8E8JZ@D/@GN–sŠ‡>Œ>—\\ \\ \\ \.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ¨_

d+>ex+>5¨ q9UX8@ EYMB!D:UD/@.Š‡>eŒ>+Eu‰'g-@˜\\ \\ \\ \.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ¨B×

}~%%&,3%5€;4$:(*Q‚™u$:5-HšL$+›(4$'#$

œ #%3*'%,ž#‚(4$+#%5’™uŸ4$9I-$'#‡ ¡-= Q|

x+>Á× ¢£+gQJRFHGcFRE8JZ‰jBO+¤VBDG)@Og/FZg-@IJRFRDQ@K‡\ \ \\ \\ \\ \.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ¨d

x+>5¨ †‡M/@ JRU3UVg¥KYGbM/@;O+P/JRFZD/SjB!JZSUVX8FREYM/A \ \\ \\ \\ \.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ¨!l

x+>ed `~G)UAsg/JR@EY@a@I£/BAg/JR@ \^\.\ \\ \ \\ \\ \\ \.\^\.\ \^\.\ \\ \\ \\ \.\^\ \.\^\ ¨{

¡ 0.3#(I% ¦

†‡M/@oJ B!EY@KWE•M/FRSVM%g@XupUXYAB!DGc@ag/XYU'G)@KYKWUX[KtACB!–3@ M/@B¤'‰ˆP”KW@oUpFZD+EY@X8DBJD/@oSVXNB!FZDgBXNB!JZJR@JZFHKuA]pUX

BGNM/FZ@¤+FZD/S@I¤3@X M/FRSVM/@X g@XupUX8ACB!DG)@ >†‡M/@X8@B!XY@kBVKWFHGIB!JRJZ‰ˆEu‘•Uˆ‘ B;‰QK‡pUXhFRDG)XY@BKuFRD/STEYM/@ D+PQAˆk@X

U!p G)UD”G)P/X8XY@D'E‡BVG)E8FZ¤+FZE8FZ@KENB–+FZD/S g/JHBVG)@hFRDsB^g/XYU'G)@K8KuUXXNKuE‡FRD”G)X8@BVKW@hE8M/@hD'P/Aˆk@X U!pFZDO+@g@D”O+@D'E

pP/DGcE8FRUVDB!JP/DQFRENKcŽBVK @£'@Ag/JZF@IO^k'‰ !"#"$%'&)(*+,(-.$cŽ'KW@;G)UDOjFRDG)XY@BKu@aEYM/@—O+@g/EYMU!pEYM/@

g/FZg-@IJRFRDQ@K pP/DG)EYFRUVDB!JP/D/FZENKoBVKa@£'@Ag/JZF@OTk'‰/0123&4!&65+7"+%'&)(8+,(2.+c>a†‡MQ@TX8@Kug-UVDKWFZk/FRJZFREu‰

U!p AB!D”B!SFZD/SEYM/@9D/@oSVXNB!FZDgBXNB!JZJR@JZFHKuA]FHK@FZE8M/@IX‡KuP/g/gUXYE8@Ojk+‰jE8M/@hMBXNO+‘ B!X8@;:%F >m@3>B!E•X8P/DE8FZA@ <

UX•k+‰TEYM/@—G)UAgQFRJR@IXUVX‡k'‰jBG)UVAˆk/FZDB!EYFRUVDTU!pE8MQ@oEu‘‡U/>>= DUX[O+@XE8UKWFRAsg/JRFp‰^EYM/@ G)UVD+EYX8UVJ-JZUSVFHGhB!DO

E8M'PK X8@O'PG)@ E8M/@G)JRU'GN–G)‰QG)JZ@3Ž@? yA=2B BDO9E8MQ@UXYFRSVFRDBJr#=8?/v B!X[GbMQFRE8@;G)E8P/XY@K XY@JR‰s@D+EYFRXY@JR‰jUD¥EYM/@

G)UVAg/FRJZ@XE8UjAB!D”[email protected]/@ pP/DG)EYFRUVDB!JP/DQFRENKc> †‡M/@G)P/X8XY@D'E E8X8@IDO€FZD9M/FZSM9g@XupUXYAB!DGc@^AsFHG)XYUg/XYU

G)@KYKWUVXNKoFHKoE8UFZD+EYX8U'O+PGc@jKWUAs@TMB!X[O+‘ BX8@sKWP/g/gUVX8EpUX.O+‰'DBAFHGBJRJZ‰K8GNM/@O+PQJRFRDQSE8M/@jFRD”KWE8XYPG)EYFRUD”K

FRD›UX[O+@XEYU X8@O'PG)@E8M/@¥kQP/XNO+@ID‚U!p.EYM/@’G)UAsg/FRJZ@XTBDO‚AB!FZD+E[B!FZD PQg+‘ B!XNO7GcUAgBE8FZk/FRJZFREu‰¥‘ M/@D

p BKuE8@XFZAg/JR@IAˆ@D'ENBE8FUD”KBX8@oABVO+@ gU3KYKWFRkQJR@hk+‰TEYM/@agQX8USVX8@KYK UpE8@GNM/D/UVJRUSV‰3>†‡MQFHKE8XY@DOjO+U3@K DQUE

A@BDžEYMB!EjGcUAg/FZJR@E8FZAˆ@jGcU'O+@UgQE8FRAsFRiBE8FRUVDKC:FRDKuE8XYPG)E8FZUD,Ku@JR@;G)E8FZUD B!DO›K8GNM/@O+P/JZFRD/SQŽXY@SF KWE8@IX

B!JZJRU'GBE8FZUDD< k@GcUA@ PKu@JR@KYK,hBK—BˆAB!EYE8@XhU!ppBVG)EoGcUAg/FZJR@E8FZAˆ@—Ug/EYFRAFZiB!EYFRUDgUEY@D'E8FHBJRJZ‰€JZ@BOQK

E8UTAjPGNMTk@E8EY@X Kug-@I@O+P/gE8M”B!D:O+‰'DB!AFGaKYGbMQ@O+P/JZFRD/S.k-@;GB!PKu@ FRE‡k@DQ@,ENK pXYUA BSJZUkBJ¤+FKWFRUVDU!p

E8MQ@GcU'O+@3>

E @D/@X[B!E8FZD/SjG)U'O+@ pUX UVg/E8FZAB!JLg-@IXWpUXYAB!D”G)@oFHK‡–'D/U‘ DE8Ujk@BjO+F!FG)PQJRE‡gQX8UkQJR@A¥>

vUDKuFHO+@IX E8M/@ JRU3UVg9UpSPQX8@1×>

G0H"IKJMLONQPHMRKSH

[email protected]

I[Z\T.V@V^]_XJ.Y

I@`KT.V@V^IDNba.I[Z

c_XJ.YdT.V@VMI.`

e"fS"gHhI

ŠFRSVP/X8@1× ‡fhXYFRSFZDB!JyzU3UVg

Bž@—BKYKWP/As@aEYMB!E•E8M/@hA@AUVX8‰.BGIG)@K8KP/DQFRE•B!DOjE8M/@—BO/O'@X BX8@og/FZg@JRFZD/@OzŽ‘ FZE8MŽ'KYB;‰ Ž@i KuENB!SV@K

B!D”Okj€KuENBS@KoX8@;KWg@G)EYFR¤3@JZ‰3> †‡M/XYUP/SVM/UP/E.E8M/@.gB!g@XIŽ‘‡@‘ FZJRJPKW@TEYM/@^pX[B!A@I‘‡UXY–U!p•X8@Ku@X8¤VBE8FRUVD

ENBk/JR@:kUE8M‚pUVXKug@G)Fp‰'FRDQSžEYM/@9XY@KWUVP/XNG)@˜G)UD”KWE8X[B!FZD+E[KBKYKWU'G)FB!E8@;O‚E8U @BVGbM,Eu‰'g-@:U!p.FRD”KWE8XYPG)EYFRUD”K

B!D”O pUXTXY@g/XY@KW@D'E8FZD/S¥E8MQ@€@I£+@GcP/E8FZUD,U!p EYM/@‘ M/UJZ@JRU3Ug >7`X8@Ku@X8¤VB!EYFRUVD‚ENBk/JR@XY@g/X8@;KW@D'ENKEYM/@

U'GG)PQgB!DGc‰¥U!p EYM/@TABVGbM/FZD/@XY@KWUVP/XNGc@Ko¤3@XNKuPKaE8MQ@ˆ@£'@G)PQE8FRUVD¥E8FZA@FZD’BCEu‘•U9O'FRA@D”KWFRUVDB!JENBk/JR@ Ž

‘ M/@XY@EYM/@M/UVX8FZiUD'ENBJG)U3UVXNO+FZDB!EY@ˆF KtEYFRA@ G)UP/D'E8@;O9FRD¥GcJRU'GN–9Gc‰/G)JZ@K B!D”O9E8M/@.¤3@X8EYFHGBJG)U3UX[O+FRDBE8@

O+@KYG)X8FZk@K EYM/@opP/DG)EYFRUD”B!JP/D/FZENKc>B7FRE8MQFRDEYM/FHK pX[B!A@‘•UXY–zŽ3E8MQ@^@I£+@GcP/E8FZUDUpEYM/@ g/X8@¤'FRUVPK‡JRU3UVg9FK

KWMQU!‘ DUVDl”SP/XY@%¨'>m= E GBD€@;BKWFZJR‰jk@ KW@@IDE8MBE E8M/@ EYUENBJ@£'@G)P/EYFRUDjE8FZA@ U!p E8MQ@^JZU3UgFHK@bn3PB!JLE8U

o :-jqpMirp ¨s<pMiutU׏G)JRU'GN–:G)‰/GcJR@Kc> †‡M/@jG)UXYX8@KugUDO+FZD/SE8M/XYUP/SVM/g/P/E.FHK E8M'PK BKu‰+AgQE8UEYFHGBJRJZ‰

@bn3PB!JLE8UJ×^FZE8@X[B!EYFRUDs@¤3@X8‰vjwpxiyp ¨ˆGc‰/G)JZ@K)>

LOOP (i=i+1)

...

...

...

...

...

...

...

...

...

...

...

2 3

1

...

...

...

...

(i=1)

... ...

...

MEM 1 MEM 2

MEM m ADD 1 ADD 2

ADD a

A(i) B(i) C(i)

A(i) B(i)

A(i) B(i) +(i)

+(i)

+(i) m+a+2 m+a+1 m+2

m+2 m+1 m

ŠFRSVP/X8@/¨.t?3FZAg/JZ@aJZU3Ug9@I£+@GcP/E8FZUD

`oKzE8MQ@ G)JZU'Gb–—G)‰QG)JR@E8@IDO/KzE8U—KWMQX8FRDQ–^‘ FZE8M E8MQ@ BO'¤BDG)@KU!p”E8@GNM/D/UVJRUSV‰3ŽE8M/@D'P/Aˆk@XLU!pLKuENBS@KFZD

E8MQ@ g/FRg@JZFRD/@KE8@DOQK E8U k@G)UVA@ JHBX8SV@X•B!DOTJHBX8S@IXŽ3‘ M/FHGNMjX8@KuP/JRE[KFRDjE8M/@hg@XWpUVX8ABDG)@ UpBKuFRAgQJR@

JRU3UVg¥KYGbM/@;O+P/JR@;:%JRFZ–3@oE8MQ@^UVD/@TKuM/U‘ D’B!kU¤3@ <E8UsO+@GcX8@BVKW@ FRDg/XYUgUXYE8FRUVD>h`oK BjG)UDKu@bn3P/@DG)@ Ž/D/@‘

B!JZSUVX8FREYM/AKtpUVXJZU3Ug UVg/E8FZAFRiBE8FZUD¥MB¤3@Tk@@D,O'@¤3@JRUVg@Oz>j†‡M/U3Ku@B!JZSUVX8FREYM/AK GBD k@G)JBKYKWF”@O

FRD'E8U.Eu‘‡[email protected])JBK8Ku@K,

×V> 6 $/< !##%5¥*/#%5;4&,(

?3@I¤3@XNBJFRE8@IXNB!EYFRUVDKaBX8@TSVX8UPQg-@;O„EYUS@IE8M/@X KWUBVKaE8U@ID/JHBX8S@TEYM/@JZU3Ug’kU'O+‰¥BDO„EYU@£'g/JRUVFRE

EYM/@ˆg”B!XNBJRJZ@JRFKWA k@Eu‘•@@D’FRDKuE8X8P”G)E8FZUDK k-@IJRUDQSFRDQS9E8U˜O+FL@XY@D'E^FZE8@X[B!EYFRUD”K)>ŒaD+pUVX8EYP/DB!EY@JR‰

‘ FZE8MEYM/FHK‡–'FRDOUpA@IE8M/U'O/KcŽ/E8M/@ O+@SXY@@ U!p P/D/XYUJRJZFRD/STF K O+FFCG)P/JZE‡EYUjO+@E8@IX8AFZD/@ak@)pUVX8@M”B!DO

k@GBPKW@•FRE O+@g@DOQKUDTABD+‰—gB!X[B!A@EY@XNK1zE8MQ@ KWEYX8PGcE8P/XY@‡U!pLEYM/@‡JZU3UgjG)UVAg/P/E[B!E8FZUDB!DOEYM/@

E[[email protected]!X[GbM/FZE8@GcE8P/XY@U!p—GcUP/X[KW@3Žk/P/E ABFRD/JZ‰UD’E8M/@jJRU'GBJUg/EYFRAFZiB!EYFRUD˜B!JZSUXYFREYM/A E8MBEFK

g@XupUX8As@Oz>aU‘‡@¤3@IXEYM/U3Ku@oBJRSUVX8FZE8M/AKB!XY@a@;BKW‰TEYU FRAg/JZ@Aj@D+E KWFZDG)@ E8MQ@‰UVD/JR‰TXY@bn PQFRX8@ B!D

BJRSUVX8FZE8M/A]pUVX‡P/D/XYUJZJRFRDQSTB!D”O€BDB!JZSUVX8FREYM/A pUX‡UVg/E8FZAFRiIFRD/SoEYM/@—G)U'O+@oJZU'GB!JZJR‰3> Š”UVX‡FZDKWE[B!DG)@ Ž

Fpz‘•@aPQD/X8UVJRJE8M/@hg/XY@¤+FZUPKJZU3UgjlE8FZA@KcŽ!‘•@aUVk/ENBFRDEYM/@aXY@KW@IX8¤VB!EYFRUDjENBk/JR@ FZD ”SP/XY@ do‘ M/FHGNM

XY@KWP/JZENK FRD›B!D BKW‰'Ag/EYUEYFHGˆEYM/X8UVP/SM/gQP/Eˆ@ n PBJ E8U¥pUP/XTFZE8@X[B!EYFRUD”K@¤3@X8‰ i p\jp “’G)JRU'GN–

G)‰QG)JZ@K9:%g/XYU!¤'FHO'@OŸEYMB!E#i pj p¸×oFHK SVX8@BE8@X•E8MBD:“+Ž/UEYM/@XY‘ FHKW@—E8M/@ “As@AUXY‰JZU3BOQK G)UP/JO

D/UVE MB¤3@ k-@I@D:G)UAg”BG)EY@OˆE8UVS@EYM/@X1<N>

¨'> /™ Nƒ.*/$¥^$+#5¥*Q#%54&,(

†‡M/@;KW@sB!JRSVUXYFRE8MQAK G)UAgQJR@EY@JR‰AsU'O+Fp‰:E8M/@KuE8XYPG)E8PQX8@jU!phE8MQ@ˆJZU3Ug FZD UX[O+@X E8U:P/D+¤3@IFRJEYM/@

AB£+FZATP/A~BAUP/D'EUpgBXNB!JZJR@JZFHKuA]k@Eu‘‡@@IDTFRDKuE8X8P”G)E8FZUDKk@JZUD/SVFRD/S.E8U.O+Fz@IX8@D'EFREY@XNBE8FZUDKc>

...

...

...

...

...

...

...

...

...

...

...

2 3

1

...

...

...

...

(i=1)

... ...

MEM 1 MEM 2

ADD 1 ADD 2

ADD a

A(i) B(i) A(i+1) B(i+1) A(i+2) B(i+2) A(i+3) B(i+3) C(i) C(i+1) C(i+2) C(i+3)

A(i) B(i) A(i+1) B(i+1) A(i+2) B(i+2) A(i+3)

A(i) B(i) A(i+1) B(i+1)

+(i) +(i+2) +(i+3)

+(i) +(i+1) +(i+2) +(i+3)

+(i+1) +(i+2) +(i+3)

+(i+1) +(i+2) +(i+3)

+(i) ...

m+1

m m+a+1 m+a+2 m+a+3 m+a+4 m+a+5 m+a+6 m+a+7 m+a+8

MEM m

LOOP (i=i+4) m+3 m+2

ŠFZSP/[email protected]@l E8FRAs@K P/DQX8UJZJR@OjJRU3Ug

†‡M/@¥XY@KWPQJRE8FZD/S,G)U'O'@žEu‰'g/FHGBJRJZ‰‚GcUDKuFHKWE[KU!pjB g/XY@JRP”O+@3ŽoB JZU3Ug AFR£'FRD/S O+Fz@IX8@D'EUXYFRSVFRDBJ

UVg-@IXNB!EYFRUVDKB!D”O‚BžgU3KuE8JZPO+@3Ž KuFRAFZJHBXE8U E8M/@:g/X8FZDG)FRgQJR@Up MB!X[O+‘ BX8@¥g/FZg@JRFZD/@3ŽM/@DG)@EYM/@

O+@ID/UAFZDB!EYFRUVD>?3U!pEu‘ BX8@ogQFRg@JRFZD/FRDQS^As@E8M/U'OQK‡GBDk@apP/X8EYM/@X O+FR¤'FHO+@;OŸFZD+EYUA@EYM/U'O/K@AjP

JB!E8FZD/S8FZD@D/FZE8@ P/D/XYUJZJRFRDQSjB!DOA@E8MQU'O/Ktk”BKW@;O€UD8AU'O'P/JRUjX8@KuUP/X[G)@.G)UD”KWE8X[B!FZD+E[K+>#= D@0

D/FZE8@hP/D/XYUJRJZFRD/S.A@EYM/U'O/K PQD/X8UVJRJBDOG)UAsgBG)EEYM/@ JRU3UgP/D'E8FZJLBX8@g@EYFRE8FZ¤3@ gB!EYE8@XYDFHK‹pUVP/DO

:` o“V“3Ž+`hFR–Q““/pUX‡EYM/@—GBKu@a‘ M/@IDˆEYM/@X8@—B!XY@aDQUX8@;KWUPQXNG)@—G)UD”KWE8X[B!FZD+E[K BDO‡U'O/“+pUVX‡EYM/@

GBVKW@ ‘ FREYMX8@KuUP/X[G)@.G)UDKuE8X[B!FRD'ENK<N>

fhDCSVP/[email protected]/Ž'i FHK Ku@E E8UjxTBDOjTE8UTl/g/X8@I¤+FZUPK‡JZU3Ug9M”BK‡[email protected]/D/X8UVJRJZ@O~¨_TE8FZA@Kk@)pUXY@

O+F K8G)U¤3@XYFRD/S—BaXY@g@E8FZE8FR¤3@•gB!EYE8@XYD : pXYUA G)JZU'Gb–.G)‰QG)JR@ ¨B× E8U.G)JZU'Gb–.G)‰QG)JZ@ d“oFZDTE8M/@hX8@Ku@X8¤VBE8FRUVD

E[B!k/JZ@ <N>T†‡MQFHKogB!EYE8@XYDžFZDG)JZPO+@Ko{FREY@XNBE8FRUVDKoBDOžE8MQ@TX8@KuP/JREYFRD/SE8MQX8UPQSM/g/PQEFHKo@bn3PBJE8U:{

FZE8@X[B!E8FZUDKo@¤3@IX8‰ ד¥GcJRU'GN–’G)‰/GcJR@Kc>†‡M/FHK E8M/XYUP/SVM/g/P/EjFHK Ug/EYFRABJKWFZDG)@A@IAUXY‰9BVGG)@KYK^FK

KYB!E8PQXNB!EY@O€FZDE8MQ@KuE8@BVO+‰:KWE[B!E8@ >

[q9U'O+P/JRU XY@KWUVP/XNGc@‡GcUDKuE8XNBFRD'ENK KWU!pEu‘ B!X8@g/FZg@JRFZD/FRD/S : BJHKWUhGIB!JRJZ@O^v‰QG)JRFG‹? GbM/@;O+P/JRFZD/S@<vMBV“B×VŽ

r E

“B×VŽz¢kLG“3'ŽzyBA“  Žz¢FHKY““/ŽavmB “G)UVDKWF KWE[KaFRD:k/P/FRJO+FRDQSO+FZX8@GcE8JR‰sE8M/@.gB!EYE8@XYD9U!p•EYM/@

KuU!pEu‘ BX8@Tg/FZg-@IJRFRDQ@O9JRU3UVg k+‰:@D+pUVXNG)FZD/S8AU'O+PQJRUXY@KWUVP/XNG)@jGcUDKuE8XNBFRD'ENK :%AsU'O+P/JRUEYM/@jKWFZi@

UphE8M/@g”B!E8EY@X8D ŽGB!JZJR@OžEYM/@&65&)(-&6 (-&"5U&65@(81 4<N>’Š/UXTFZDKWE[B!DGc@3ŽEYM/@UgQE8FRACB!JE8M/XYUP/SVM/g/P/E

pUVX^EYM/@jg/X8@¤'FRUVPKoJRU3UVg FKoUD/@jFREY@XNBE8FRUVDž@I¤3@X8‰˜d9G)JZU'Gb–’G)‰QG)JZ@K)ŽKuFRDGc@TE8M/@XY@BX8@dA@IAUXY‰

BVGG)@KYK‹g@X•FREY@XNBE8FRUVDBDOˆUVD/JR‰jUD/@hA@AsUX8‰ gUXYE>•†‡M/@XY@)pUXY@3Ž3E8M/@hFRD/FZE8F B!E8FZUDjFRD'E8@XY¤VB!J/FK‡KW@IE

EYUjdˆBDOBŸXY@KW@XY¤VB!E8FZUDENBk/JR@ FK KWUPQSM'EoKuPGbMEYMB!E—B!D'‰FRD”KWE8XYPG)EYFRUDCGB!D:k-@ FZD/FREYFHB!EY@Oˆ@¤3@IX8‰

djG)JRU'GN–G)‰QG)JZ@K)>mBž@ UVk/ENBFRD¥E8MQ@X8@;KW@XY¤BE8FZUDENBk/JR@KWM/U‘ D¥FRDSVP/X8@jx'> †‡M/@Ku@A@IE8M/U'O/KhB!XY@

(i=8) LOOP (i=i+6) 2

1 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38

A(1) B(1) B(i) A(i+1) C(i-2) +(i-1)

B(i+1) A(i+2) B(i+2) +(i)

C(i-1) A(i+3) B(i+3) +(i+1)

C(i) A(i+4) +(i+2)

B(i+4) C(i+1) A(i+5) +(i+3)

C(i+2) B(i+5) A(i+6) C(i+3) +(i+4) ADD 1

MEM1

ŠFZSP/XY@^l' = D@DQFRE8@%EYFRA@K^P/DQX8UJZJR@OjJRU3Ug˜B!DOX8@KuP/JREYFRD/STXY@g@E8FZE8FZ¤3@agBE8EY@X8D

BJHKWUjGIB!JRJZ@O 8AU'O'P/JRUjKYGbM/@;O+P/JRFZD/S'Ž [G)‰/GcJRFHG—K8GNM/@O+P/JZFRD/S ^UVX Yg-UVJR‰QG)‰QG)JRFGoB!JZSUXYFREYM/AK'>

ŠFRSVP/X8@{KWMQU!‘hKhE8M/@.g-@IXWpUXYAB!D”G)@ U!p•E8M/@G)U'O+@KhS@D/@IXNB!EY@O9k'‰€EYM/@^pUVP/X KuE8XNBE8@SVFR@KhO+@KYG)X8FZk@O

B!kU¤3@3> = E.KWM/UVP/JHO¥k@ˆD/UVE8@O’E8MBE^EYM/@Ku@ˆg@XupUX8ACB!DG)@;KaMB¤3@Tk@@D G)UAgQP/E8@O¥O'FRX8@;G)E8JZ‰CpXYUA EYM/@

X8@;KW@XY¤BE8FZUDENBk/JR@KcŽ/k+‰CBK8KuP/AFZD/SjBˆKu‰+D”GbM/XYUD/UVPK AU'O+@J B!DOENB!–'FRDQSˆFZD+EYUjBGG)UVP/D'E YD/Ug TUg@X[B

E8FZUDKc> aU‘‡@¤3@XIŽ/BJRAU KWEhB!JZJ@I£+F KWE8FZD/STg/XYU'G)@K8KuUX[K gQX8U¤[email protected]ˆgU‘‡@XupP/JMB!X[O+‘ BX8@TFZD+EY@X8JZU'Gb–As@GbM'

B!DQFHKWA˜ŽE8M”B!EsB!JRJZU‘hKD/UEjE8U KWg@G)Fp‰ YD/Ug žUg@X[B!E8FZUDKTFRD,EYM/@FRDKuE8X8P”G)E8FZUD,KuE8X8@;B!A¥> †‡M/@X8@cpUX8@ Ž

FRD’BX8@BJ@£+@;G)P/E8FZUDŽLE8M/@sG)U'O+@GcUX8XY@KWgUVDO+FRDQS9E8U:E8M/@sG)‰QG)JRFGKYGbM/@;O+P/JR@T‘•UP/J O„M”B;¤3@sBˆp B!X.k-@IE8E8@IX

g@XWpUVX8ABDG)@3> q9UX8@IU!¤3@IXŽ+EYM/FHKhG)U'O+@TFKtAjPGNMKWFZAg/JZ@X‡EYMB!D¥EYM/@UVD/@UVk/ENBFRD/@O9‘ FZE8M:E8M/@ D/FREY@ UX

FRD.D/FREY@ P/D/X8UVJRJZFRD/SsKWEYXNB!EY@S‰ > `oKaBjAB!EYE8@XhU!pp BVG)EŽL‘ FRE8M:E8M/@jGc‰/G)JZFHGoKYGbMQ@O+P/JZ@^p@‘•@XhKWg@G)FB!J GBKu@K

D/@@;OE8U k@hG)UDKuFHO+@IX8@OEYMB!DTpUXP/D/XYUJZJR@OTKYGbM/@;O+P/JR@ >ŠFRDBJRJR‰ ŽE8M/@hKuFRi@ UpLE8M/@hJRU3UVgˆkU'O+‰jFHKP”KWPBJRJR‰

AjPGbMjJHBX8SV@Xa‘ MQ@D¥PKWFZD/SjE8M/@.P/D/X8UVJRJZFRD/SjKuE8XNBE8@SV‰3>h†‡M/FHK AB‰XY@KWP/JZE FRD˜BˆM/FRSVM9FZDKWEYX8PG)EYFRUVD9GIBGNM/@

AFK8KX[B!E8@—‘ M/@DEYM/@ G)U'O+@—U!pE8MQ@oJRU3UVg€kU'O+‰CO+U3@K DQUE E•FRDjE8M/@oFZDKWEYX8PGcE8FRUVDGIBGNM/@3>`—K‹p B!X BK‡EYM/@

G)UVAg/JR@I£+FZEW‰jU!phEYM/@jUg/EYFRABJKuE8XNBE8@SV‰žFKoG)UVDG)@XYD/@OzŽkUEYM A@EYM/U'O/KokBKu@O¥UD FZD@D/FZE8@TP/D/XYUJZJRFRDQS

B!D”O UVD›G)‰/GcJRFHGjK8GNM/@O'P/JRFZD/S9JZ@BOžEYU¥@£'g-UVD/@D'E8F B!J BJRSVUX8FZE8M/ACK)ŽB!JZE8M/UVP/SM›@£'g-@IX8FRAs@D+E[KoKWMQU!‘ E8M”B!E

E8MQ@X8@ [email protected])ENBk/JR@—FRDg/XNBVG)E8FG)@3>

†‡M/@Eu‘‡U˜G)JHBVK8Ku@K^Up—B!JRSVUXYFRE8MQAKoMB¤3@B€AB

UX.O+XNB‘ kBVGb–’FRD E8MBED/UVE8M/FZD/S’GB!D k-@g/JB!D/DQ@O

k@)pUXY@MBDO:JR@E•PK‡E8XY‰E8MBEoBDO€JZU3U–‘ MQ@E8M/@IX FRE ‘‡UVX8–QK<[>m= DEYM/@.GBKu@^UpP/D/XYUJZJRFRDQSjB!JRSVUXYFRE8MQAK)Ž

E8MQ@ PQD/–+DQU!‘ DTFK EYM/@P/D/XYUJRJZFRD/S—O+@SVX8@@ Ž!‘ M/@IX8@BVK pUVXG)‰QG)JZFHGKYGbM/@;O+P/JRFZD/S/ŽFREF K EYM/@‡FZD/FREYFHBE8FRUVD FRD'E8@XY¤BJ >

q9UXY@U¤3@XŽE8U—UP/X–'D/U‘ JR@O+SV@3Ž3BDTUg/EYFRABJRFREu‰oXY@KWPQJREG)UVP/JHOk@ UVk/ENBFRD/@OUVD/JR‰ pUXE8MQ@hGBKu@ U!pLE8FZA@

P/D/FZE Ug@X[B!E8FZUDK —KWP“V{+Žr

E

“B× >

†‡M/@g/PQX8gU3Ku@€UpoEYM/FHK gB!g@XTFK^EYU¥KWMQU!‘ E8M”B!ETFRD KWUAs@GBVKW@KcŽB€D/@I‘ EY@GbMQD/F6n3P/@TU!p KWUpEu‘ B!XY@

g/FZg-@IJRFRDQFRD/S˜GB!D,JR@;BO E8U¥UVg/E8FZAB!J•X8@KuP/JRE[K^FRD,AUVX8@SV@D/@X[B!JhGBVKW@Kc> †‡M/FKŸDQ@‘ EY@GNM/D/F6n3P/@sB!g/gQJRFR@;K

E8UsJRU3Ug”K^‘ FREYM’B!D BG)‰QG)JZFHGO'@g@DO+@D”G)@TSX[B!g/M B!DO G)UDKuFHKuENKaFZD O+@;G)UP/gQJRFRDQSE8M/@TgQX8UkQJR@A U!p JZU3Ug

K8GNM/@O'P/JRFZD/S FRD'E8UhEu‘‡Uhg/MBKu@K,E8M/@mXNKuEKuE8@gG)UD”KWFHKuENKFZDk/PQFRJHO'FRD/S EYM/@‡JZU3UgTgBE8E8@IX8DTk'‰ WpUVX8S@IE8E8FZD/S

B!kUVP/EE8M/@•ENBKu–/K O+@g@DO+@IDG)FR@;K)>†‡M/@hKW@;G)UDOTKuE8@gjGcUDKuFHKWE[KFRDB!EYENBGNM/FZD/SoE8U—@BGNMTENBVKW–TBDTFREY@XNBE8FRUVD

D'P/Aˆk@XhGIB!JRJZ@O9E8MQ@TFRE8@IXNB!EYFRUVDžFZDO+@£:KWU:E8MBE.B!JRJ‹O+@g@DO+@IDG)FR@;KoB!XY@jK8B!EYFHK2@Oz>fhE8M/@IXoX8@Gc@D+E—D/@‘

JRU3UVg¥KYGbM/@;O+P/JRFZD/STBJRSVUX8FZE8M/ACK‡B!XY@TBJHKWUjkBVKW@OUD:E8M/FK‡FHO+@;B q9P/D q׎

E ? q×3ŽB ¢ Vd

†‡M/@¥FRD'E8@IX8@KuEˆUpUVP/XA@EYM/U'O JZFR@KTFRD7EYM/@€p BVG)EE8MBEFREBJRJZU!‘hKjPKˆE8U S@D/@IXNB!EY@¥E8M/XYUP/SVM/g/P/E

UgQE8FRACB!JhG)U'O+@’FRD KuUA@:FRAgUVX8ENBD+EsGBVKW@Kc>]q9UVX8@U¤3@XjFREBJHKuU‚BJRJZU!‘hKjPKE8U E[B!–3@¥FRD'E8U BGG)UVP/D'E

B(i-1) A(i-1) B(3)

A(3)

B(2) B(2)

A(2) A(2)

B(1) B(1)

A(1) A(1)

+(i-1) +(i-2)

+(1) +(i)

C(i-1) C(i-2)

C(i-3) B(3)

A(3) B(2)

A(2) B(1)

A(1)

21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4

C(i) B(i)

A(i)

ADD a ...

ADD 2 ADD 1 MEM 1 MEM 2

MEM m ...

...

2 3

1

...

...

...

...

...

...

(i=1)

LOOP (i=i+1)

ŠFZSP/[email protected]@ v‰/G)JZFHGhK8GNM/@O+PQJRFRDQSTUX Nq9U'O'P/JRUjX8@KuUP/X[G)@.G)UD'E8X[B!FZD+E[KjKWU!pEu‘ B!X8@ g/FZg@JRFZD/FRD/S

B!DQUE8MQ@XˆUVg/E8FZAFRi;B!E8FZUD›G)XYFRE8@IX8FHB. ;4$ #% ƒj%%5 $'5$+$7$+3$'((*Q;2 ™ -,*/4%$3š5

4-549& *Q#a3$ > = DO+@@;OzŽzFRE AB‰g/XYU!¤[email protected]/@G)@;K8K8BX8‰¥EYU€PQD+‘ FZDO9E8M/@jJRU3UVgžFZD¥UX[O+@X

E8USV@EEYM/X8UVP/SM/gQP/EUVg/E8FZAB!JGcU'O+@3Ž‘ M”B!E8@I¤3@X E8M/@sK8GNM/@O+PQJRFRDQS€As@E8M/U'OL>ˆyz@IEPK AB!–[email protected]/F K^GcJR@BX

UD˜B!D@£'@Ag/JZ@3>ABž@.G)UVDKWFO+@XhE8M/@ g/XY@¤'FRUP”K‡JRU3Ug˜B!S B!FRD Ž-k/PQEa‘•@^DQU!‘1BK8KuP/A@oEYMB!EhEu‘‡UjA@AjUXY‰

gUXYENKB!XY@hB;¤VBFRJHBk/JR@ > hU!‘›BJRE8MQUP/SVMˆA@IAUXY‰oBVGG)@KYKFHKKuE8FZJRJ'E8M/@•X8@KuUP/X[G)@ kUE8EYJR@DQ@Gb–LŽE8M/@ UVg/E8FZAB!J

E8MQX8UPQSM/g/PQEjBGNM/FR@¤VBk/JR@TFK^UDQ@FREY@XNBE8FRUVD @¤3@XY‰ [d¨ žGcJRU'GN–’G)‰/GcJR@KcŽKuFRDGc@ˆ‘•@GBD @£'@G)P/EY@ˆEu‘•U

A@AsUX8‰ BGG)@;K8KW@;K‹g@X•G)JZU'Gb–G)‰QG)JR@3> =%pLE8M/@hJRU3UVgFHKD/UVEP/D/X8UVJRJZ@O :F >m@3>@BGNMˆU'GIG)P/X8@IDG)@ U!p BD+‰.SFZ¤3@D

ENBVKW–j@£'@G)P/EY@KUDEYM/@oKYB!A@ pP/DGcE8FRUVDB!JLP/D/FZE ‘ M”B!E8@I¤3@XE8M/@oFZE8@X[B!EYFRUD3<NŽ3E8M/@IDE8M/@hk@KWE•E8M/XYUP/SVM/g/P/E

BGNM/FZ@¤VB!k/JZ@aF K UDQ@oFREY@XNBE8FRUVD@¤3@XY‰Hd]¨G)JZU'Gb–sG)‰QG)JR@Kc>aU‘‡@¤3@Xk'‰TP/D'‘ FRDO+FZD/SEYM/@oJZU3Ug:Bg/X8FZUXYF

Eu‘‡U E8FZA@KcŽ!EYM/@ak@KuE‡EYM/X8UVP/SM/gQP/E BVGbM/FZ@¤VB!k/JZ@ FHK+¨^FZE8@X[B!EYFRUD”K‹@I¤3@X8‰1¨d]¨G)JZU'Gb–G)‰/GcJR@KcŽF >m@ UD/@

FREY@XNBE8FZUD@¤3@IX8‰ Nd]¨GcJRU'GN–G)‰QG)JR@KFZD9B¤3@X[B!SV@3Ž/‘ M/FHGNMFK‡E8M/@ UgQE8FRACB!JzEYM/X8UVP/SMQg/P/E>

ŒaD'‘ FRDO+FZD/S AB‰Tk@oD/@G)@;K8K8BX8‰TpUX UVE8M/@X•X8@BVKWUVDKtEYMB!DXY@KWUVP/XNG)@ B!JRJZU'GB!EYFRUVDAFREFHK‘‡@JZJ–+D/U‘ D

E8M”B!Eg-@IXWpUXYAFRDQS X8@SVFHKWEY@XB!JZJRU'GBE8FZUDjB;pEY@XJRU3UgK8GNM/@O+PQJRFRDQS AB‰oX8@bn3P/FZX8@JRU3UVgP/D'‘ FRDO'FRD/S yBA“  Ž

¢ 3y _ >=%p‘•@hBK8KuP/A@ EYMB!E•E8M/@ g/XY@¤'FRUP”K‹JZU3UgAjPKuEk@hP/D/X8UVJRJZ@OˆdoEYFRA@KzpUXXY@SF KWE8@IX‡BJRJZU'GB!EYFRUD Ž

E8MQ@DŽ‘ FRE8MQUP/EBD+‰opP/XYE8M/@IXBE8E8@ID+EYFRUD Ž!EYM/@ U¤3@XNBJRJPQD+‘ FZDO+FRDQS O+@SVX8@@•‘‡UPQJHO^k@1ik:¨[ds< {pUX

@£'g/JRFG)FREY@JR‰jO'@K8G)XYFRk/FZD/SsB!JRJ E8M/@.g-U K8KuFRk/JZ@jGBKu@KaU!p FRAjk/X8F GB!EYFRUVDK k@Eu‘‡@I@D9EYM/@r¨ g@X8FZU'O+FHGTKYGbM/@;O+P/JR@

B!D”O E8MQ@¥d g@X8FZU'O+FHG9XY@SFKWEY@XjB!JZJRU'GBE8FRUVD>K=%p—X8@SVFHKuE8@XsB!JZJRU'GBE8FRUVD G)UPQJHO‚BJHKuUžk@’GBX8X8FZ@O UD7EYM/@

JRU3UVg9P/D'‘‡UVP/DOlTE8FRAs@K)Ž3E8MQ@^U¤3@X[B!JZJO+@SVX8@@ ‘•UP/JO€k@G)UVA@,ik:¨8l@<7l/> fhXŽG)UVD+¤3@X[KW@JZ‰3Ž3Fp‹B!D

UgQE8FRACB!JK8GNM/@O'P/[email protected])UVP/JHO9k@^pUVP/DO¥‘ FREYM9E8MQ@JRU3UVgžPQD/X8UVJRJR@;O9dˆEYFRA@K :E8M/F KtFKaD/UVEoE8M/@GBKu@TM/@XY@ <NŽ

‘¢œV™+¹|¥H‘#»Á”–•w¾˜ž’¤¦™š‘¢œ°;”£¿½¿D”–¹-¿w¡9ž’œ¢Ÿ›5žŸ¤ŽÄ

_ x ×_ ×x ¨_ ¨x dV_ dVx l _ l x x_

©H›A¤@¤¦¥†’¹

°;ž’”9°¢—]°; 9°;ž’¤@‘

›A¤@•…’œ˜¤@•;™šœ˜’”–¹

”H”£›†’œ˜¤@•;™šœ˜’”–¹9‘

”W”£›9œ¢’¿D’‘V™+œ˜’”£¹

¹9•˜”–žŸž’’¹9Ã-œ¢’¿D¤@‘

­®¹A¹9’œ˜¤¡9¹9•¢”£ž’ž’Ÿ¹5Ã

±# 9°;ž’°…‘V°¢9¤Ö¥H¡9ž’’¹9Ã

ŠFRSVP/X8@.{.‡n@IXWpUXYAB!D”G)@aUp•O+Fz@IX8@D'E KYGbM/@;O+P/JRFZD/SjKWEYXNBE8@SVFR@K

E8MQ@aU¤3@X[B!JRJP/D'‘ FRD”O+FRD/S.O+@ISX8@I@o‘‡UVP/JHOTk@o@bn3PB!JLE8U 1i/: dNd"<7d'>‡†‡M/@IX8@)pUVX8@hFRDUVXNO+@XEYUqDOˆEYM/@

KWACB!JRJZ@KWE—P/D+‘ FZDO+FZD/S¥O+@ISX8@I@3ŽUD/@CKWM/UVP/JHO D/UVEjKWFRAsg/JR‰:AFRD/FZAˆFZi)@.E8M/@sP/D+‘ FZDO+FZD/S¥O+@ISX8@I@ˆpUXTEYM/@

X8@;KWUPQXNG)@sB!JZJRU'GBE8FRUVD BDO X8@SVFHKuE8@X BJRJZU'GB!EYFRUD >9` k@[email protected][B!EY@S‰’FHKoE8U:k@Bk/JR@jE8U˜GbMBXNBVG)E8@XYFRi@

E8MQ@a¤VB!JZFHOTP/D'‘ FRDO+FZD/S.O+@SVX8@@KFZD@¤3@XY‰^g”BK8Kc>‡†‡MQFHK FKE8M/@hUk

@GcE UpE8M/@—KW@;G)E8FZUDsd+Ž/BVK‹pBX BK•KWE[B!E8FG

X8@;KWUPQXNG)@.B!JZJRU'GBE8FZUD9FKaGcUDG)@IX8D/@OL> = D¥Ku@G)EYFRUD:d'Ž-‘•@TG)UVDKWFO+@X E8MQ@UgQE8FRAsFHKWEYFHGhGBKu@‘ M/@[email protected]!JZJEYM/@

ENBVKW–QKtFZDE8M/@ JRU3UVg9kU'O+‰:B!XY@FZDO+@g@DO'@D+EIŽ+‘ M/FZJR@ FRD:Ku@G)E8FZUDl/Ž/FZE FHK KuM/U‘ D9M/U‘ EYUBJRJR@I¤+FB!E8@—E8M/FK

X8@;KWE8XYFHG)EYFRUVD>

†‡M/@gB!g@XjFHKTUXYS3BD/FRi@;O BVKŸpUJZJRU‘hK)> = D›E8M/@X[KWEsKW@G)EYFRUVDŽ EYM/@g/X8UVk/JR@IAwFHKTKuENB!EY@O‚BDO ‘•@

KWMQU!‘ ‘ M'‰ G)‰QG)JZFHGTK8GNM/@O'P/JRFZD/SA@E8MQU'O/K^D/UVEjB!JZ‘ B‰/K.KWPGIG)@OžFZD S@DQ@XNBE8FRDQS9E8MQX8UPQSM/g/PQEˆUVg/E8FZAB!J

K8GNM/@O'P/JR@KcŽ+@¤3@ID€FZD:KWFRAsg/JR@ GIBKW@;Kt‘ M/@IX8@UVg/E8FZAB!J K8GNM/@O+PQJR@K BX8@EYX8FZ¤+FB!J >•†‡M/@XY@)pUXY@‘•@^FZD+EYX8U'O+P”G)@

B€DQ@‘GcJHBKYK^Up KuU!pEu‘ BX8@g/FRg@JZFRD/FZD/S:B!JZSUXYFREYM/AK)> a@£'EŽ‘•@G)UVDKWF O+@XEYM/@GBVKW@U!phFZDO+@g@D”O+@D'E

ENBVKW–QKBDO,O+@X8FZ¤3@GcX8FREY@X8FBˆpUXTGNMBXNBGcE8@XYFRiFZD/SP/D+‘ FZDO+FZD/S¥O+@ISX8@I@K^JZ@BO+FZD/S9EYU¥Ug/EYFRABJX8@KuUP/X[G)@

B!JZJRU'GBE8FZUD>~†‡M/@’E8MQFRXNO›KW@GcE8FRUVD KWM/U‘hKM/U‘ E8U›O+@BJa‘ FZE8M7E[BKW–QK‘ M/FHGNM7BX8@¥D/UVEFRDO+@Ig-@IDO+@D'E

SFZ¤3@DsB^X8@;KWUPQXNG)@ BJRJZU'GB!EYFRUDsg/JHBD/D/FRDQS/Ž+‘•@ KWMQU!‘7MQU!‘ E8UB!EYENBGNMBD€FZE8@X[B!EYFRUDsFRDO+@I£TE8U@;BGNMENBVKW–LŽ

KWUEYMB!E.E8M/@sKW@ACB!D'E8FHG.O/B!E[BO+@g@DO+@IDG)FR@;KoB!XY@K8BE8FHK2@Oz> B’@ˆSVFR¤3@TEYM/@GcUDO+FZE8FZUDKoP/DO'@X ‘ M/FHGNM

B!D FRE8@IXNB!EYFRUVDžFZDO+@£'FRD/SpP/D”G)E8FZUD’@£+FKWE[K^BDOžEYM/@GcX8FREY@X8FB‘ M/FHGNM KuM/UPQJHOžk@jPKW@O¥pUXTGNM/U3U KWFRDQS¥B

KWUVJRP/EYFRUVD>m= DE8M/@hJHBVKWEhKu@G)E8FZUDŽ3@£QB!Asg/JR@KU!p‹B!g/g/JZFHGBE8FZUDK•B!X8@—SFR¤3@ID>= DgBX8EYFHG)P/JB!XIŽ+‘‡@—KWMQU!‘ E8M”B!E

FRE—FHKaFZAgUX8E[B!D'EoE8UMB¤3@jBSU3U'OžABVGbMQFRD/@.AU'O+@JpUX k@FRDQS9Bk/JR@jE8UUVg/[email protected])XYFREYFHGBJXY@KWUVP/XNG)@ Ž

AUVX8@oEYMB!DD/UVEoG)XYFREYFHGBJzUDQ@K)>

‡ l t hC’ C C

= DTE8M/FKKW@;G)E8FZUDŽEYM/@hJRU3UgsK8GNM/@O'P/JRFZD/Sog/XYUk/JZ@A BDOŸEYM/@ ENBX8SV@E•B!XNGNM/FZE8@G)EYP/X8@•AU'O+@JQB!XY@agQX8@Ku@D+EY@Oz>

†‡M/@Ds‘‡@ @£'g/JHBFRD‘ M'‰BTKuFRAgQJR@—G)‰/GcJRFHGhK8GNM/@O'P/JRFZD/STKuE8XNBE8@SV‰AB‰TD/UVE JR@BVOCEYUTUg/EYFRABJX8@KuP/JRE[K BK

KWU3UVD¥BVK KWUgQM/FHKuE8FHGIB!E8@;OB!X[GbM/FZE8@GcE8P/X[B!J/p@B!EYP/X8@;K B!X8@ G)UDKuFHO+@IX8@O:BG)EYPB!JZJR‰sO+FL@XY@D'E‡ENBVKW–O'P/XNBE8FRUVDK

UDEYM/@.K8B!As@^XY@KWUVP/XNGc@ <N>

}EL-P ¶ 2V@ *0 S#%$ 4 *_/ ! 47682:1 '3/G$G 4 ,. "!# 9 *0$G 0#!

†‡M/XYUP/SVM/UP/E.E8M/FK^gBg@XŽ‘‡@jG)[email protected]@E U!phS@ID/@X8FGENBVKW–QK

Ž

Ž\\\Ž€XY@g/XY@KW@D'E8FZD/SEYM/@

FRD”KWE8XYPG)EYFRUD”K‡U!pUVD/@FZE8@X[B!E8FZUD:U!pEYM/@ JRU3Ug >a†‡MQ@U'GG)PQX8X8@IDG)@ U!pE[BKu– FRDEYM/@! #"%$oJRU3UVg¥FREY@XNBE8FRUVD

‘ FRJZJzk@ D/UEY@O&

>

Š/UX@DKuP/X8FZD/S E8M/@hJRU3UVgFHK@£'@G)P/EY@OFRDsB KW@ACB!D'E8FHGIB!JRJZ‰ G)UVX8X8@;G)E‘ B‰3Ž3E8M/@hENBVKW–QKB!X8@—G)UVDKWEYXNB!FZD/@O

E8U.X8@Kug@G)E KuUA@h@£'@G)P/EYFRUVDˆUVXNO+@XI>†‡M/FHK‡FK XY@g/X8@;KW@D'E8@OTE8MQX8UPQSM:B $+$'$'2 5!*Q4 >‡†Uk@

@£QBG)EIŽE8MQFHKSX[B!g/MsKWM/UVP/JHOjk-@hGcUAgU3Ku@OTU!p@I¤3@X8‰ ENBVKW–'&

B!DOT@¤3@XY‰O'@g@DO+@D”G)‰TG)UVDG)@XYD/FRDQS^Eu‘•U

U!p•EYM/@KW@jENBVKW–QK)>ˆ? FRDG)@TEYM/FHK G)UVP/JHO9XY@KWPQJREoFZD’B n3P/FZE8@TJHBX8SV@ˆSVXNB!gQMU:U!p UVXNO+@IXqi o Ž‘ M/@IX8@vi FK

E8MQ@oD+PQAˆk@XU!p S@ID/@X8FGtE[BKu–/K BDO

o

FHK‡E8MQ@oJR@DQSE8MsU!p E8M/@ JRU3UVgD<UX @I¤3@DBSVXNBg/M9‘ FZE8MP/DQ–+D/U‘ D

KWFZi@Fp o FKaP/D/–'D/U‘ DŽUDQ@TFHKoPKW@;O9E8U:KWP/A FREoPQgžFZD+EYUBSXNBg/M)( G)UD”KWFHKuE8FZD/SU!p•E8M/@ i S@D/@IX8FHG

ENBVKW–QKaBDO€‘ MQ@X8@ UDQ@TO+@g@D”O+@DG)‰sk-@IEW‘•@@DENBVKW–*+ B!D”O-,‡FKaBVK8KuP/A@OBKhKWU3UVD¥E8MBEaEYM/@XY@TB!XY@

:%@I¤3@D+EYPB!JZJR‰0<zEu‘•U^FZE8@X[B!EYFRUD”K. B!DO/KWPGNMˆEYMB!E001

,

O+@g@DO/KUD2&

> † U.k@oAUXY@ g/X8@;G)FHKu@3Ž@O+SV@K FZD

E8MQ@O'@g@DO+@D”G)‰SX[B!g/M˜B!XY@SFZ¤3@DEu‘‡Uj¤VB!JZPB!EYFRUD”K)Ž3 4,

B!DO5 6,

Ž‘ M/FHGNMA@;B!DK‡EYMB!E

&

$87:9

,

AjPKWE

k@ FHK8KuP/@OB!EhJR@;BKWE3 4, E8FZA@oP/DQFRENK BpE8@X &

pUX @;BGNM€FZE8@X[B!EYFRUD* 8>

rt@;G)@D'Ea‘•UX8–¥M”BK KWM/U‘ D’E8MBE S@D/@IXNB!JJZU3Ug K8GNM/@O+P/JZFRD/Ssg/X8UVk/JR@A FHK —n_MBXNOoBD _ ŽB!JKWU

FRD:E8M/@T¤3@IX8‰:KWFZAg/JR@ GBKu@T‘ M/@D¥E8MQ@TSXNBg/M’FHKaUVD/@jG)‰QG)JR@3Ž/‘ FZE8M¥UVD/@Tg/X8U'Gc@K8KuUXŽBDO9E8M/@TE[BKu–/K B!XY@

E8FZA@P/D/FZE>’†‡M/@XY@)pUXY@3Ž‡BD‚FZAgUX8E[B!D'EM'‰+gUVE8M/@KuFHKTE8MBEˆ‘•@:O+UžEYM/X8UVP/SMQUP/EEYM/FHKg”B!g@XjFHKE8M”B!E

E8MQ@ O+@g@DO'@DG)‰jSX[B!g/M( FK */23# :%E8MQFHK‡O'U3@K‡D/UE @I£/G)JZPO+@hJRU3UVgKt‘ FZE8MO'@g@DO+@D”G)FR@Kk@Eu‘‡@I@D

O+Fz@IX8@D'E‡FZE8@X[B!E8FZUDK<N>

}ELN} 9F4 6 $&# 254 #%' 9 *_/ ! 47682:1 '3/G$G 4 ,. "!# 9 *0$G 0#!

= D UP/XAU'O+@J Ž‘‡@•BKYKWP/As@E8MBE@;BGNM^E[BKu–^P”KW@KE8M/@ABVGbMQFRD/@XY@KWUVP/XNGc@KBGGcUXNO'FRD/ShE8U—B ”£+@Oog/XY@O+@

E8@IX8AFZD/@Og/JB!DŽQKWg@G)F!@Oˆk'‰BXY@KW@IX8¤VB!EYFRUDE[B!k/JZ@3>†‡M/@ XY@KW@XY¤VB!E8FZUDE[B!k/JZ@ O+@KYG)X8FZk@K‡E8M/@—X8@KuUP/X[G)@

PKYB!S@CBK^‘•@JRJ‹BK^EYM/@jE8FRAsFRD/SQ>†‡M/FK^BJRJZU!‘hK PKoE8U˜BGG)UVP/D'E^pUX.BJHB!XYS@¤VBX8FR@IEW‰:U!p—BXNGNM/FREY@G)E8PQX8@K

XNBD/SFZD/SpX8UVAP/D/FZg/X8U'Gc@K8KuUXNK ‘ FREYM:KW@¤3@X[B!JpP/DG)EYFRUD”B!JP/D/FZENK‡EYUˆEYFRSM'E8JZ‰@ G)UVP/g/JR@;OŸAjP/JREYFRg/XYU'G)@KYKWUX[K)>

aUAsUS@ID/@UP”KzE8FRSVM+EYJR‰. GcUP/g/JZ@OaAjP/JREYFRg/XYU'G)@KYKWUX[KB!XY@‡AU'O+@IJR@OoBVKBhKW@IEUpFHO+@ID+EYFHGBJg/XYU'G)@K8KuUX[K)Ž

@BVGbMENBVKW–MBVKoBŸgQX8@O+@IE8@XYAFRD/@;OŸ@£'@G)PQE8FRUVDE8FRAs@ok/P/EhAB‰ˆ@I£+@GcP/E8@ UD˜B!D'‰g/X8U'G)@;K8KWUVXok@JRUVD/SFZD/S

E8U—E8M/FKKW@EI>= DEYM/@hGBVKW@ U!pLM/@IE8@XYUS@ID/@UP”KAˆPQJRE8FZg/X8U'Gc@K8KuUXNKcŽ!EYM/@XY@hB!X8@hKu@¤3@X[B!J3Eu‰+g@KU!pLg/X8U'Gc@K8KuUXNK

‘ M/FGbMGcUX8XY@KWgUVDO/KaEYUjO+FL@XY@D+EhKu@ENKc>

vUDGc@X8D/FZD/SP/D/FZg/X8U'G)@;K8KWUVXNKcŽE8M/@jX8@KuUP/X[G)@K.G)UDKuFHKuE^UphE8M/@sO+Fz@IX8@D'EopP/DG)EYFRUD”B!JP/D/FZENK : `oyŒ.Ž

FHKYKWP/@ Ž<;U B!EYFRD/S %gUFZD+EjP/D/FZENK<TB¤VB!FZJHB!kQJR@FRD,E8MQ@€gQX8U'G)@KYKWUVX> = D,E8M/@:GBVKW@:U!p g/FZg@JRFZD/@O„pP/D”G)E8FZUDBJ

P/D/FZENKcŽ @;BGNM’KWENBS@Up EYM/@ˆgQFRg@JRFZD/@TFHK BX8@;KWUPQXNG)@jk+‰:FRE[KW@Jp KuFRDGc@ˆ@BVGbM’KuENBS@F K JZFR–3@JZ‰E8U:FRDGcP/X B

X8@;KWUPQXNG)@sG)UD=;FHG)EI> = E.KuM/UP/JOžk@ˆDQUE8@;OžE8MBE FRD KWUAs@jGBKu@K^UVD/JR‰¥EYM/@ ”XNKWE.KuENB!SV@FHKoXY@bn PQFRX8@;O9E8U

DOUVP/E E8M/@.G)UVD>;FG)ENKc>m= DsE8MBEoGBVKW@3Ž'E8M/@.O+PQXNB!EYFRUVD€UpU'GG)PQgB!DGc‰U!p XNKuEhKWE[B!S@.‘ FRJZJzk@ D/UEY@OBK

¤VB!JZPB!EYFRUD*3O'@,D/@O

PKuEhB!kU¤3@^pUVX ¤3@X8Fp‰+FZD/STKu@AB!D'E8FGB!JLG)UVDKWEYXNBFRD'ENK)>

`AB UXp@;B!E8PQX8@9FZD,M/FRSVM%g@XupUXYAB!DGc@€gQX8U'G)@KYKWUVX‘ FREYM‚X8@;KWg@G)ETEYU,K8GNM/@O+PQJRFRDQS9FHKTFRE[KŸFK8KuP/@

GBgB!k/FZJRFZEW‰ Ž F >@3>MQU!‘ ACB!D'‰’B!DOž‘ MQFHGNM Eu‰+g@jU!phFRD”KWE8XYPG)EYFRUD”KGBD k@KWFZAˆP/JZENBD/@UP”KWJR‰:FHKYKWP/@O B!E

@BVGbMsG)‰QG)JR@3>†‡M/FK‡GBDˆk@oAsU'O+@JR@;Ok+‰TPKuFRD/SO+P/AAj‰ X8@KuUP/X[G)@K#:%F >m@3>‘ FREYMD/UgQM+‰QKWF GB!J/@I£+FKWE8@IDG)@ <

E8UjBVGG)UVP/D+E‡pUVXaEYM/@.G)UD”KWE8X[B!FZD+E[K‡UD9EYM/@ FHKYKWP/@3>

}ELNW ¸

#%$

@

$]*5#%$ ,.

¸39

, ¹ / 2„@

Š/UXhk@FRD/SsB!kQJR@ E8UXY@g/XY@KW@D'EhBjK8GNM/@O+P/JZ@ k+‰Bjg/X8UVSXNBA¥Ž/‘‡@B!XY@JRU3UV–+FZD/STpUXhg-@IX8FRU'O'FHGKYGbMQ@O+P/JZ@K)Ž

F >m@3>3FRD'E8@SV@X pPQDG)E8FZUDK E8M”B!E ¤3@XYFp‰3

: &

,

<

:

&

,

<Ap

†‡M/@FZD+EY@S@IX€FKzE8M/@#! (815 !Ž3KuUA@EYFRA@IK+XY@)p@X8XY@OoBVK pUX 8FZD/FREYFHB!EYFRUVDoFRD'E8@XY¤VB!JFRD E8MQ@JRFZE8@X[B!E8PQX8@3>

†‡M/@XY@KWPQJRE8FZD/S¥B¤3@X[B!SV@E8M/XYUP/SVM/g/P/ETUpoEYMB!EjKYGbMQ@O+P/JZ@ˆFK^@bn3PB!J•E8U × r:UD/@FZE8@X[B!E8FZUD @I¤3@X8‰

E8FZA@hP/D/FRE[K<[Ž/E8M/@XY@)pUXY@ E8M/@ JR@;BKWE Ž/E8M/@ k@KuEaEYM/@g@XupUX8ACB!DG)@ >`1g@XYFRU'O+F G K8GNM/@O+P/JZ@oFHK @D'E8FZX8@JZ‰

O+@EY@X8AsFRD/@Ok'‰jFRENK¤VB!JRPQ@oUD:@BGNMENBVKW–UpUVD/@oFZE8@X[B!E8FZUD:%EYM/@ X[KWE‡pUVX FRDKuENB!D”G)@ <BDOE8M/@—JHB!EY@DG)‰

> = DoE8M/@pUVJRJRU‘ FZD/S/Ž‘•@‘ FRJZJk@•G)UDO'PG)E8@;O EYU P/D/XYUJRJ3EYM/@JZU3Ug^pUVXUk/E[B!FZD/FRD/S k@EYE8@Xg@XupUXYAB!DGc@K)>

†‡M/FKaBAUP/D'ENK‡EYUˆ@I£+EY@DOE8M/@.g/X8@I¤+FZUPK D/UEYFRUVD9U!p•g@XYFRU'O+FG)FREu‰jE8U %g@XYFRU'O+F G)FREu‰@•BK8GNM/@O'P/JR@

FHK KYB!FO %g@XYFRU'O+F GŸFp+

: &

, < :

&

,

<Ap

†‡M/@ X8@;KWP/JZE8FRDQSB¤3@X[B!S@ EYM/X8UVP/SM/gQP/EoFHK @bn3PB!JEYU

> `g-@IX8FRU'O'FHGKYGbMQ@O+P/JZ@^FK‡@D'E8FRXY@JR‰sO+@EY@X$

AFZD/@OTk+‰FZENK‡¤VB!JZP/@ UD@BVGbMENBVKW–U!p9GcUDKu@G)P/EYFR¤3@oFZE8@X[B!E8FZUDK BDO€EYM/@ JHBE8@DGc‰

>

}EL M 9 $G 4 $ ¸ / 2 ,0> , 1 '3/-,Y 2 !=,I' 9;4J2 j,I "!# 9 *0$G 0#F!*0/ S, 9 $&# 63@

}~#s$+(3$ 0.()*/-(

B!JZSUXYFREYM/A F KoBS@D/@IXNB!J‹B!DO¥g/XNBVG)E8FGB!JA@EYM/U'O9E8Ug@XupUX8A

KWUpEu‘ B!XY@Tg/FRg@JZFRD/FZD/S/> `]JB!EY@DG)‰ 7FHKaSVFR¤3@D’BDO„UVD/@TE8XYFR@KhE8UCD”OžBKYGbMQ@O+P/JZ@^pUX UVD/@TFREY@XNBE8FRUVD

KWP”GbM’E8MBEPKuFRD/SEYM/@K8BA@TgBE8E8@IX8D¥pUX@I¤3@X8‰:FRE8@IXNB!EYFRUVD BDOžFRDQFRE8FB!EYFRD/S@¤3@XY‰FRE8@IXNB!EYFRUVDžFZDžEYP/X8D

@¤3@XY‰‚EYFRA@—P/D/FRE[KaO'U3@KtDQUE GBPKW@B!D'‰X8@;KWUPQXNG)@G)UD>;”FHG)E[K)ŽB!D”O9g/X8@Ku@X8¤3@ KW@ABD+EYFHGagQX8@G)@;O+@DG)@

G)UVDKWEYXNB!FZD+E[K)>`aD@£QB!Asg/JR@hMBK k@@DSFZ¤3@DFZDl”SP/XY@Tx+>

†‡M/@¥A@EYM/U'O‚GcUDKuFHKWE[KˆFRD7P”KWFRDQS E8M/@¥‘•@JRJ%–'D/U‘ D #(),(4$+#5 B!JZSUXYFREYM/A : KW@@pUXFRD

KWE[B!DGc@ y!^? “_!pUXBD.B!g/g/JZFHGBE8FZUD U!pQJRFKWEKYGbMQ@O+P/JZFRD/SpUXAFG)X8UVg/X8UVSXNBA GcUAgBVG)E8FZUDD<'pUXKYGbM/@;O+P/J)

FRDQS^EYM/@ ENBVKW–QK UpUDQ@oFREY@XNBE8FRUVDŽ3BDOˆg/XY@¤3@D'E8FRDQSoX8@KuUP/X[G)@hG)UVD>;FHGcENKO+P/@hE8U FREY@XNBE8FZD/S @¤3@X8‰" E8FZA@

P/D/FZENKok'‰9FRD'E8XYU'O+PG)FZD/SD/@‘ X8@KuUP/X[G)@GcUDKuE8XNBFRD'ENK1Eu‘‡U:O+FL@XY@D'EoS@DQ@X8FGENBKu–/K.GB!D’D/UVEPKu@ˆEYM/@

K8BA@X8@KuUP/X[G)@’B!ECG)JRU'GN–/KTO'FHKWE[B!D'Ek'‰‚B’AˆP/JZE8FZg/JR@Up#]E8FRAs@€PQD/FRE[K:%M/@IDG)@E8M/@¥EY@X8A YAU'O+P/JZU

X8@;KWUPQXNG)@.G)UVDKWEYXNB!FZD+E[K"<N>

B7M/@D’UD/@Tp B!FZJHKoE8U:KYGbM/@;O+P/JR@jGcU'O+@ŸpUVXEYM/FHKoSFZ¤3@D¥JHBE8@D”G)‰ ŽE8M/@IDžUVD/@KWE[B!XYENK B!S B!FRD ‘ FRE8M B

SXY@B!EY@X ¤VB!JZP/@opUXtŽBDO9KuUˆUVDŽ/P/D'E8FZJBjK8GNM/@O+P/JZ@oFHK pUVP/DOUX‚X8@BVGbM/@;K E8MQ@^JZ@D/SVE8M9UpEYM/@.G)U'O+@

pUX UVD/@FZE8@X[B!EYFRUD :%E8MQFHK‡FHK GcUAg/PQE8@OBVKaBqX[KWE gBVK8KaFZD€EYM/@.B!JZSUXYFREYM/A<N>

` SVX8@BE:BO+¤VB!D'ENBS@,U!pE8M/FKA@E8MQU'O F KCEYMB!E:FRE:GBD B,g/X8FZUX8F—k-@ B!g/g/JZFR@O7E8U›BD+‰7–'FRDO7U!p

G)U'O+@ Ž‡KuFRDG)@sFRETX8@IJRFR@;KKWFZAg/JZ‰¥UD,UD/@:JRU'GBJhK8GNM/@O+PQJRFRDQS¥B!JZSUVX8FREYM/A¥> `oG)E8P”B!JRJZ‰3ŽyB!A FRD yBA“ 

FpKuENB!EY@A@D'EUVX9@¤3@D7‘ FZE8M k/XNBDGNM/@K€UVP/ENKuFHO+@’E8MQ@žJZU3UgŽ k+‰7EYM/@’A@B!D7UpsB,KWU GBJRJR@;O 8M/FZ@X$

B!X[GbMQFHGBJ‡X8@;O+PG)EYFRUD +> †‡M/FHKTE8@;GbM/DQF6n3P/@‘ BVKˆUXYFRSVFRDBJRJR‰ PKW@O pUXjAFHGcX8UgQX8USVXNBAAFD/S9UVD7BX8XNB‰.

g/XYU'G)@K8KuUX[K vMB“q×3Ž † UVP“!lŽ ¢FHKY““/Ž avmB “ > = E¥FK9E8M/@,kBVKWFHG F O+@B‚U!psgUJZ‰/G)‰QG)JZFHG BXNGNM/FREY@G,

E8PQX8@ r E

“B× >m= E ‘ BVK pPQX8E8MQ@XoO'@¤3@JRUVg@OB!D”O9BOQB!g/EY@OCpUVXa¤3@GcE8UXhBXNGNM/FREY@G)EYP/X8@ ¢ 3y““Ž† !o† “V“

B!D”O€BJHKuUŸpUVXaAUVX8@oSV@D/@X[B!Jg/XYUSVXNB!ACK ¢kLG“ 'ŽQyB!A“3 >

†‡M/@ [email protected])UVAg/JZ@£+FZEu‰U!p E8MQFHKhB!JRSVUXYFRE8MQA G)UAs@KpX8UA EYM/@ SX8@;B!E P/DGc@X8E[B!FRD'Eu‰ˆUVDE8M/@ ¤VB!JZP/@"

pUX ‘ MQFHGNM9BjK8GNM/@O'P/JR@o‘ FZJRJLk-@ pUP/D”Oz> : †‡M/FHK FHK‡DQUEhAUD/UVE8UVD/FHGŽ'FRDE8MQ@Ku@DKu@^EYMB!EhFREhGIB!D9M”B!g/g@D

E8M”B!ETB:K8GNM/@O+PQJR@TFHKapUVP/DO„pUVX ~B!DO’D/UE pUX pU×b<N>:†‡M/FHKoAB–3@KaE8MQ@B!JZSUXYFREYM/A G)U3KuE8JZ‰’KWFRD”G)@

@¤3@XY‰jKWPGIG)@K8KuFR¤3@o¤VBJRP/@opUX AjPKuE‡k@ E8X8FZ@Oz>

`aD/UVE8M/@X•FRDGcUD'¤3@D/FR@ID+EF K‡G)JZU3Ku@JR‰TXY@JHBE8@OˆEYUTE8M/@—P/DO+@XYJR‰'FRD/S.JRU'GBJKYGbM/@;O+P/JRFZD/STBJRSVUX8FZE8M/A :%JZFHKuE

K8GNM/@O'P/JRFZD/S@<[Ž/E8MBEoE8@D”O/KaE8UCK8GNM/@O+P/JZ@EYM/@E[BKW–QK BKoKuU3UD BKagU K8KWFZk/JR@ > Š”UVXoX8@;B!JJRU3Ug K8GNM/@O'P/JRFZD/S/Ž

E8MQFHKg/X8UVAUEY@¥E8U›GNMB!XYS@’E8M/@’X8@SVFHKuE8@X[KspXYUA A@IAUXY‰ ¤3@X8‰›@B!XYJR‰ B!DO FZDG)XY@BKu@KˆE8MQ@žXY@SF KWE8@IX

g/XY@K8KuP/X8@"‘ MQ@DE8M/@ ENBVKW–QKtEYUˆk@K8GNM/@O+P/JZ@OG)UVA@ pX8UA UVD/@.B!X8FZE8M/As@E8F GB!J@£'g/X8@;K8KWFZUDŽ/EYM/@ SX[B!g/M

MBVKoBˆKuE8XYPG)E8PQX8@UpE8XY@@TBDO9FREhFHK‡P”KW@JZ@K8K E8MBEoE8MQ@ENBVKW–:D/@B!XhE8MQ@X8U3UVE B!XY@TKYGbM/@;O+P/JR@;OCEYU3U@B!XYJR‰3>

†‡M/FK‡GBD€k@ BJRJZ@¤+FB!EY@OŸk'‰jg-@IXWpUXYAFRDQSE8MQ@oJRFKWE•K8GNM/@O+PQJRFRDQSFRDsE8M/@oFZD+¤3@IXNKW@hUX[O+@X : K8GNM/@O'P/JRFZD/SEYM/@

ENBVKW–QK BK JHBE8@XhBVKtgU3KYKWFZk/JR@ <[>

`aD/UVE8M/@XCO+FFCG)P/JZEW‰ U!p.E8MBEA@E8MQU'O FHKjX8@JB!E8@;O E8U›G)U'O'@¥S@D/@IXNB!EYFRUVD B!DO7X8@KuP/JRE[KŸpX8UVA EYM/@

X8@;KWE8XYPG)EYP/X8FZD/S U!pLFRDQD/@XJRU3Ug :E8M/FK F K DQUE KWg@G)F!LG EYU q9U'O+P/JZUor @KWUVP/XNGc@avUD”KWE8X[B!FZD+E[KB!JZSUXYFREYM/A~k/P/E

E8UKWUpEW‘ B!XY@og/FRg@JZFRD/FZD/S A@EYM/U'O/K FZDS@ID/@XNBJ<[> ?3FZDG)@hS@D/@IXNB!EY@OˆFZD/D/@X•JRU3UgF K D/U.AUXY@oG)UVAgU3Ku@O

U!pLE[BKW–QKU!p E8M/@hKYB!A@ FZE8@X[B!E8FZUDŽVJRFR–3@FZDTUX8FZSFZDB!JLG)U'O+@ Ž kQP/EU!p ENBVKW–QK‹UpO+FL@X8@D'EFRE8@IXNB!EYFRUVDK)Ž3k/X[B!DGNM

G)U'O+@—g/P/E‡[email protected]+@OBDOKWg@G)FB!JGIBKW@;K‡UDEYM/@oD'P/Aˆk@XUpFRE8@IXNB!EYFRUVDK AjPKWEk@ E8XY@B!EY@OB!g”B!X8EI>Š/UX

B¤3UFO+FRD/SBO/O'FRE8FZUDBJGcU'O+@3ŽBTKWg@GcFHB!JM”B!XNO'‘ B!XY@A@;GbMBD/FHKuA MBK k@@Dg/XYUgU3Ku@O€k'‰ r E

“q× >

}ELNR Xt$ @ $&#F*5#%$-,I 8!

?

E

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

C B

(U1) (U2)

(U1) (U2)

(U1) A

B

C

D

E

U1 A

U2 B

C D

A B

C D

A

ŠFZSP/XY@"•¢£/BAg/JZ@

` G)UPQD+EY@X8gBX8E U!p E8M/@TSV@D/@X[B!JZFREu‰U!p EYM/FHK BJRSUVX8FZE8M/A FHKoE8MBE @¤3@D9‘ MQ@DžEYM/@jABGNM/FRDQ@BXNGNM/F)

E8MQFHKUVD@£QB!Ag/JZ@‡UpDSVP/X8@ "‘ M/@IDˆ‘•@hB!g/g/JZ‰TE8M/@—G)‰QG)JRFG JZU'GB!JKYGbMQ@O+P/JZFRD/S.B!JZSUVX8FREYM/A]EYUEYM/@ SFZ¤3@D

SX[B!g/M Ž/‘ FRE8MsJHB!EY@DG)‰j@bn3PB!JLE8Uj{'Ž/FRE Bg/g@B!X[KtEYMB!E %E[BKu–GB!DQD/UEhk@ K8GNM/@O+PQJR@OzŽQKWUTEYMB!E UVg/E8FZAB!J

g@XWpUVX8ABDG)@ FHKhD/UE BVGbMQFR@¤3@Ojk+‰:E8M/FKtA@IE8M/U'O:%D/UVE8FHGc@E8M”B!EoEYM/@jK8BA@ g/M/@D/UVA@D/UVD9‘•UP/JO¥KWE8FZJRJ

MB¤3@Bg/g@B!XY@O FZD E8M/@:GBVKW@U!p^B9X8@¤3@X[KW@UVXNO+@IXjK8GNM/@O+P/JZFRD/S.<N> aU‘‡@¤3@XIŽFZEFHKTGcJR@BXTE8MBETE8M/@XY@

@£'FHKuENK UVD/@T{b%JB!EY@DG)‰JZU'GB!JKYGbMQ@O+P/JZ@3Ž'O+XNB‘ D9UVD¥O+F B!SVXNB!A U!pSVP/X8@“+>

(U2) (U2)

(U1)

(U1)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17

U1

U2

C B

D A C

B D

A C

B A

E E D C B

A (U1)

ŠFZSP/XY@ “@•¢£/BAg/JZ@

}ELNg ¶), @ 2 !=,I/G')#($-,. "!

fhDE8MQ@^gQX8@¤'FRUVPK @£QB!Asg/JR@3ŽVUD/@ U!p E8MQ@^gQX8UkQJR@AKFK‡E8MBE E8M/@oE[BKu–/K‡MB¤3@ O'FL@X8@ID+E O+P/XNBE8FZUDK+pUX

FRD”KW@XYE8FRDQSE8M/@ ENBVKW–LŽFZE^F KaD/@Gc@K8KYB!X8‰¥EYU¥GNMB!DQS@jE8M/@jKYGbM/@;O+P/JR@TUp—Bg/X8@¤'FRUVPKWJZ‰¥KYGbM/@;O+P/JR@;O9ENBKu–

: M/@XY@ <•B!DOpUX[G)@K‡E8MQ@BJRSVUX8FZE8M/A E8UjkBGN–+EYXNBVGb–L>

= D,KWUVA@GBVKW@KcŽKWUAs@E8XYFHGN–/K.GB!D k@PKu@O E8U¥gBVK8KTX8UPQDO E8M/FKTO+FFCG)P/JZEW‰ >9`E8XYFR¤'FHBJ‡GIBKW@FK

‘ M/@D’E8MQ@ˆE[BKW–QK^E[B!–3@jE8M/@sK8BA@jE8FRAs@3ŽzKYB‰ G)JRU'GN–’G)‰QG)JR@KcŽzE8U:@£'@G)P/EY@3>j†‡M/@D’E8M/@KuUJZP/E8FZUD¥pUX

DO'FRD/S:E8M/@jUg/EYFRABJ•K8GNM/@O+P/JZ@ˆFKoE8U9@ID+pUX[G)@E8MQ@ˆE[BKW–QKE8U:k@FHKYKWP/@O’UD/JZ‰ BETG)JZU'Gb–’G)‰QG)JZ@KaE8M”B!E

[email protected]ˆP/JZE8FZg/JR@ Up >†‡M/F KtAs@E8M/U'OsGB!Dk@ @£+EY@DO+@;OˆE8UTEYM/@.GBKu@^‘ MQ@D:B!JRJEYM/@oE[BKW–QK UD:BˆKYB!A@

pP/DGcE8FRUVDB!JPQD/FRE MB¤3@oEYM/@.K8BA@ O+P/X[B!EYFRUD Ž-k/PQE D/UE—B!JZJzE8MQ@^E[BKu–/K FRDE8MQ@^FZE8@X[B!EYFRUD ŽKW@@ ”SP/XY@ +>

†‡M/@T–3@‰gUVFRD'E^MQ@[email protected]/@^pUVJRJRU‘ FZD/ShE8M/@.g/X8FZAB!XY‰9GcUDG)@IX8D9FKaE8Usg/JHBD/Fp‰:M/U‘ EYM/@TENBVKW–QKaU!p

O+Fz@IX8@D'E FRE8@IXNB!EYFRUVDKBX8@AFR£'@OzŽ

$' $'$'-#H2

U!p—M/U‘ EYM/@‰ B!XY@X8@JB!EY@OžFRD E8M/@SX[B!g/M > fhD

E8MQ@ˆkBVKWFK^U!p E8M/FK^FO+@B+Ž‘•@Kug/JRFZE^EYM/@jg/X8UVk/JR@A FZD+EYUEW‘•UgB!XYENK)>ŠFRXNKuE ‘‡@j‘ FRJRJpUX8SV@ETBkUP/ETEYM/@

O+@g@D”O+@DG)FZ@Kzk@Eu‘‡@@ID^EYM/@ ENBVKW–QKB!D”OTG)UDKuFHO+@IXEYM/@A~BVKFRDO'@g@DO+@D'E>?3@G)UVDO^‘•@ BVK8KWPQA@‡‘•@ B!XY@

SFZ¤3@DsBgB!EYE8@XYD€UpENBVKW–QK B!DO@£QB!AFZD/@h‘ MB!EhBX8@oEYM/@.G)UDO'FRE8FZUDKpUX EYM/FHKgB!EYE8@XYD€EYUjG)UXYX8@KugUDO

E8UUVD/@gU3KYKWFRkQJR@j@£+@;G)P/E8FZUD¥UphE8M/@jJRU3UVg>†X8@BE8FZD/S9EYM/@KW@jEu‘‡UgBX8ENK FRDO'@g@DO+@D'E8JZ‰:B!JRJZU‘hK^PK B

k@E8EY@XhP/DO+@X[KWE[B!DO+FZD/S:B!DO’G)UVD+EYX8UJU!ptKWUVA@ n3PB!JZFREu‰:G)X8FZE8@XYFHBUp E8MQ@TK8GNM/@O'P/JR@3> = D¥EYM/@wX[KWE gBVK8K

‘‡@.‘ FRJZJEYX8‰9EYUS@IE BˆgBE8E8@IX8D BKoG)UVAgBVG)EoBVKog-U K8KuFRk/JZ@3> = EoAB‰MBg/g@DžEYMB!E EYM/@UVg/E8FZAˆP/A GB!D

k@UVk/ENBFRD/@O9UVD/JR‰:k+‰P/D'‘ FRD”O+FRD/SsE8M/@.JRU3Ug EYM/@jG)XYFRE8@IX8FHBEYUAFZD/FRAFi@h‘ FRJZJEYM/@D'P/Ajk@X U!p•E8FZA@K

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 U1

U2

T1 T2

ŠFRSVP/X8@ @•†BKW–QKhO+P/XNBE8FZUDK UD

:X8@Kug>

< BX8@

:%XY@KWg > <

E8MQ@aJZU3UgMBK‡EYUk@oP/DQX8UJZJR@OL>m= DjE8MQ@ KW@GcUDOˆg”BK8K‡‘•@o‘ FRJZJE8X8‰jE8U.AFRDQFRAjFRi@E8MQ@oAB!–3@;KWgBDˆUpUD/@

FREY@XNBE8FZUDk:M/@DG)@ EYM/@ X8@SVFHKWEY@X g/XY@K8KuP/[email protected])@oEYM/@Ku@^Eu‘•UjG)X8FZE8@XYFHBBX8@G)JRU KW@JZ‰ˆXY@JHBE8@O<[>

³ ! w .˜ I ž ‡ ˜ ˆ „ • ˜

,˜C

= D¥E8M/FKoKW@;G)E8FZUDŽz‘•@TBVK8KWPQA@TE8MBE E8M/@TE[BKW–QKoBX8@

%$'$+$+

> †‡M/@XY@)pUXY@3ŽDO'FRD/SBKYGbM/@;O+P/JR@

pUX EYM/@ˆJZU3Ug’ENBVKW–QKB!AsUP/D'ENKaEYU D”O+FRD/S:BG)UVAgBGcEogB!EYE8@XYDžUphE8M/@TE[BKu–/K.BKKuM/UXYE.BK^gU K8KWFZk/JR@ >

B’@‘ FRJZJKu@@TFRD¥EYM/@w”XNKWE gBX8EoUp•E8M/FKoKW@GcE8FRUVD¥E8MBEoP/D'‘ FRDO'FRD/SACB;‰k@TD/@Gc@K8KYB!X8‰pUXoUVk/ENBFRD/FZD/S

BjK8GNM/@O+P/JZ@ K8BE8P/X[B!EYFRD/SUVD/@XY@KWUVP/XNGc@^‘ MQ@D9EYM/@X8@ F K‡AUXY@^EYMB!D:UD/@.@£'@Ag/JB!X8‰TUpE8M”B!EhX8@KuUP/X[G)@

:%AsUX8@ EYMB!DsUD/@oAs@AUXY‰ g-UVX8EpUX‡FZDKWE[B!DGc@ < B!DOB S@DQ@XNBJKWUVJRP/EYFRUVD‘ FRJZJ/k@og/X8@;KW@D'E8@OL>Š/UX•E8M/FK

KWUVJRP/EYFRUVDžEYM/@P/D'‘ FRDO'FRD/S:O+@SVX8@@jAB‰9k@vn PQFRE8@jJHBX8SV@3ŽXY@KWP/JZE8FZD/SFRD B9G)U'O+@sE8MBE^ACB;‰:D/UE EFZD

E8MQ@TFRDKuE8X8P”G)E8FZUD’k/P L@X;GBGNM/@sB!DO O+@SX[BO+@jE8MQ@ˆ@£'g@G)EY@O9g@XWpUVX8ABDG)@3>j†‡M/@XY@)pUXY@ˆFZDžEYM/@jX8@KuE

U!p E8MQFHK‡Ku@G)EYFRUD Ž+E8MQ@og/X8UVk/JR@IA UpAFZD/FRAsFiIFRD/S :UXhBE JR@BVKWE‡PQDO+@X[KWENBDO+FZD/SˆEYM/@oXYUJR@—U!p1<‡PQD+‘ FZDO+FRDQS

O+@SVX8@@‘ FZJRJ k@9E[BGN–+JZ@Oz>›q¥B!D'‰ g”B!XNBA@EY@XNK‘ FZJRJ k@9E[B!–3@D›FRD'E8U’BGIG)UP/D'ETpUXˆpUVX8ABJRFRiIFRD/S:E8M/FK

g/XYUk/JZ@A¥>Š/UXEYM/@oBXNGNM/FREY@G)EYP/X8@ G)UP/D'E8@IX8gBX8EE8M/@hD'P/Aˆk@XU!p O+FL@XY@D'E Eu‰'g@KU!pLpP/DG)EYFRUVDB!JP/D/FZENKcŽ

E8MQ@^D'P/Ajk@X U!p•B¤VB!FZJHBk/[email protected]/JZ@K‡U!p@;BGNM9Eu‰+g@ U!ppP/D”G)E8FZUDBJP/D/FREI>hŠ”UVXaEYM/@ ENBVKW–QKoG)UPQD+EY@X8gBX8E

E8MQ@aEu‰'g-@hU!pgQX8U'G)@KYKWUVX FREAˆP”KWEX8P/DjUD:BDOˆE8MQ@aEYFRA@ FZE E[B!–3@Kc>Bž@h‘ FRJZJXNKuE‡g/XY@KW@D'E•KWFZAg/JR@ GBKu@K

B!D”O€GcUAg/JZFHGBE8@hFRE AUVX8@ BDO€AsUX8@—E8UjG)UVA@oP/gE8UjE8MQ@^SV@D/@X[B!JGBVKW@3>

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

¸

/$&01.234+0

= DE8M/@.S@D/@IXNB!JGIBKW@ Ž-‘•@BVK8KuP/A@ E8MBEaEYM/@ACBGNM/FRD/@—FHK G)UVAgU3KW@;O€U!p 5

pP/DG)EYFRUVDB!JP/DQFRENK U!p‹EW‰'g@

6

Ž5

U!phEu‰+g@ 6 Ž \\\cŽ75 UpoEu‰'g@ 6 >k=%ph‘•@O+U¥DQUEjB!JZJRU‘ E8MQ@JRU3UVg EYU9k@P/D'‘‡UPQDOzŽE8MQ@D

UgQE8FRAsFRiBE8FRUVD¥g/X8UVk/JR@IA G)UDKuFHKuENK^FZDDO'FRD/S˜B9G)UVAgBGcE^g”B!E8EY@X8D KWU¥E8M”B!EEu‘•U9ENBVKW–QKKuMB!XYFRD/S¥EYM/@

K8BA@‡Eu‰'g@ U!pgQX8U'G)@KYKWUVX B!XY@oBJRJZU!‘•@O^EYU U!¤3@IX8JHBgTUD/JZ‰TFHKEYM/@‰B!X8@—BKYKWFZSD/@OTE8U.O+FL@X8@D'EpP/D”G)E8FZUDBJ

P/D/FZENKc>†‡M/@XY@)pUXY@3Ž+EYM/FHKg/X8UVk/JR@IA JZU3U–QK‡JRFR–3@hE8MQ@8&65 '":9 &65<;w3=8,)?>Ž/‘ M/FGbMjFHK‘‡@JZJ)–+DQU!‘ DsE8Uk@

onMB!X[Oz>yz@EhPK‡X8@GIB!JRJLE8M/FKtUVg/E8FZAFRi;B!E8FZUDjg/X8UVk/JR@IA E + 2

E FR¤3@IDB;”D/FREY@Ku@E@

\\\ U!p YFREY@AKTBDO9BTXNBE8FZUDBJ [KWFRiI@ BA": <DC_H×

pUVX‡@BVGbMjFREY@A ECFŽ"DOB gB!XYE8FZE8FRUVDU!p% FRD'E8U.O+FK

UFZD+E•KuP/kKW@IENKG

\I\\HaKuPGNM

&

5jFHK BVKaKuAB!JZJLBK g-U K8KuFRk/JZ@: &,& 3$ 5”Ž@SP/XY@1×_s<[>

u2 u1 u5

u7 u3

u4 u6

0 1

k

ŠFRSVP/X8@1×I_@•q9FRD/FZAFRiFD/S EYM/@ D+P/Ajk@XG5jUpkU!£'@K

fhP/X g/XYUk/JZ@AFHK‡EYM/@opUJZJRU‘ FRD/S'

ŠFZDOžEYM/@JR@;BKWETFZD+EY@S@IX KWPGNM EYMB!EpUVXT@BGNM Eu‰+g@UpogQX8U'G)@KYKWUVX/ŽE8MQ@X8@@I£+FKWENK.B

gBX8EYFRE8FZUD,U!p ENBKu–/KTU!p EW‰'g@'/žFRD'E8U’O'FHK

UVFRD'EjKWP/k”KW@E[KE

1

1

\\\

,

1

KuPGNM EYMB!E9FHK

D/UVESVX8@BE8@XTEYMB!D 5 1

BDO E8M/@CKWP/AwUphENBVKW–QKFRD›B!D'‰ Ku@EB

1

FHK D/UETSVX8@[email protected]

: & %& 3$ tŽ@”SP/XY@k×|× <[>

`aJREYM/UPQSMk/FRD'%gBVGb–'FRDQSˆg/XYUk/JZ@A FHK on%MBXNOzŽKuFRAgQJR@oM/@IP/X8FKWE8FGoB!JZSUVX8FREYM/AK BX8@ ¤3@X8‰s@,FGcFR@D'E

: [ŠFRX[KWEŠFZE UX ‡@KuEŠFRE hO+@GcX8@BVKWFRDQSoBJRSUVX8FZE8M/AK<NŽEYM/@X8@cpUX8@ KWJZFRSM'E8JZ‰aAsU'O+F@;O ¤3@IXNKWFZUDKU!p”E8M/@Ku@

B!JZSUVX8FREYM/AKoGIB!D’k-@jPKu@O˜pUVXwD”O+FRD/S:KYGbM/@;O+P/JR@;Ka‘ FREYM/UP/E P/D'‘ FRD”O+FRD/SEYM/@ˆJZU3Ug>†‡MQFHKoFHKoD/UVE^UVP/X

g/P/[email protected]/@XY@oE8UsO+@¤3@JZUgEYMB!EhgUFZD+E‡pP/XYE8M/@IX>

= DKWEY@BOzŽ‘‡@˜B!JZJRU‘ JZU3Ug7P/D'‘ FRD”O+FRD/S’BDO7KWEYPO+‰ pUXj‘ M/FGbM,P/D'‘ FRDO'FRD/S’O+@ISX8@I@KˆBD‚UVg/E8FZAB!J

K8GNM/@O'P/JR@•GBDTk-@‡pUVP/DOz>B7MQ@DT‘‡@ P/D'‘ FRD”O^E8MQ@ JRU3Ug E8FZA@KcŽ!EYM/@DT‘‡@•S@EˆG)UVg/FR@;K

1

6

1

I\\\6

1

U!p‹@BGNMENBKu–

1 > yz@EaP”KoBKYKWP/A@ EYMB!Eh‘‡@GB!D˜G)UAg”BG)E EYM/@[email protected]–QKt‘ FZE8M/FZD¥BTgB!EYE8@XYD9U!p•JZ@D/SEYM

:%JB!EY@DG)‰0< 'ŽEYM/@DjE8M/@hB¤3@X[B!S@ J B!EY@DG)‰.‘‡@ UkQENB!FZDˆFK > `‚‘‡@JZJ+–'D/U‘ DˆJZU‘‡@XkUVP/DOpUX

F K O+@XYFR¤3@Oˆk'‰‘ XYFRE8FZD/STE8M”B!E pUX—B!D'‰Eu‰+g@/Ž/E8M/@.KWPQAU!pE[BKu–/KhO+P/X[B!E8FZUDK UD:E8M/@ 5 1

pP/D”G)E8FZUDBJ

P/D/FZE U!p Eu‰+g@

6 1

GIB!DD/UEh@£QG)@@O 5 1

K: ,E8FZA@KE8M/@ D'P/Ajk-@IX‡U!p g/XYU'G)@K8KuUX[KaU!pEu‰'g@

6 1 >

&

"

: <

5 1

u2 u1 u5

u7 u3

u4 u6

0

kj

L

ŠFRSVP/X8@1×|× •q9FRD/FZAFRicFRD/S EYM/@.KWFRiI@ ‚U!p kU!£'@K

Š/X8UVA]‘ M/@XY@ ‘‡@ UVk/ENBFRDjE8M/@ JZU!‘•@XkUPQDO

&

\i j

1 :

&

<N> aU‘‚E8MQ@#n P/@;KWE8FZUDTF K,O'U3@KE8M/@XY@

@£'FHKuENKoBDžP/D'‘ FRD”O+FRD/SCO+@SXY@@ KuPGbM¥EYMB!E" &

/>†‡M/@BDKW‘•@X FHK Y‰3@KBDOžBgU3KYKWFZk/JR@

¤VB!JZP/@opUX €FK‡SFZ¤3@DFRDEYM/@opUJRJZU‘ FRD/STEYM/@UXY@Ak

4$'-$'& | ( 1ik: 5

5

\\\.5 < ( %015(6%01 &1(6 C%0+7"") ( %0 ,.5 ".57

Q(-&>C$&)( %l(%'" ; %b3"( @ A( &

”™ ( h; "5s&67@1 $1( "5. C(6%0 @51(2&"5 _@5&)(6 ( 0 6 1

"57(- .9 ( 0 6 1

/

.5 D(6%0 ,E5

1

(2&>C+ "57 "5k+"% .5,(-&"5 .5&)( => '",( )A(6%0 (- .9 "1+8 "5'7"&65<;

( w(6%0 =>C &)(81$ (-&"5 ;". "!;&65s&67@# ' ( (8115 #-&65.(* ;@$! )5<; (6% 5 1 1 & (6%'& & & 8,)

8 7@% 5&)(-&"5 1 &

!&('D%015) 20+ ( <5

1

(2&>C+ (6%'&9%0+7"")D8 *+ (2, &65<; ,3& $ #(6%' (

' ( (8115,-'D%0 )15 ; (% . % ) ( (81,5/ " (2 .9 v( 0 6 1

&v(6%01% " <5

1 5 1 1 &

1 &

&0

&65s&67@ (6%'&# ( (81,51m( %0 5' > 8,1 ,3& $ "1&;"&65 A ,F8 b7 &@5

1 5 1 2

'D%0( % ) ,' ((8115k&; "5s1(21.,(*+7 8 &65<;(6%'&w%0+7"s!&65 ;3 "q+"% ( #3 ,+ "

"57?> 8 b7 &)(4&)(6%'&65kq ((81,5 )15<; (6%

&

653&65, ,3& $ ,F8 b7 C"q"+s(8+7

&)(6%'&65+"% ' ( (*1157 (6%0 $"(-&65<; 1+ ;@ ( %'" ;b%b3s( & : &

@< &

†‡M/@XY@)pUXY@ ‘•@–+D/U‘’E8M/@IX8@•B!JZ‘ B‰/Kz@I£+F KWENKB KuUJZP/E8FZUDEYUaUVP/XE8MQX8UPQSM/g/PQEUg/EYFRAFZiB!EYFRUVDog/X8UVk/JR@IA¥Ž

k/P/E B!EhE8M/@—g/X8FG)@oU!p‹B!DP/D'‘ FRD”O+FRD/SjO'@SXY@@oE8M”B!E AB‰Tk@ JHB!XYS@3>†‡MQFHK O+@SVX8@@;: ,ik: 5

?5

\\\.5 <+<

O+@g@D”O/KtUVD/JR‰sUD¥BXNGNM/FREY@G)EYP/XNBJ-p@BE8P/XY@KaBDO€DQUEhUD9EYM/@gQX8USVXNBA¥>tfhD˜G)P/X8XY@D'E‡g/XYU'G)@K8KuUX[K)ŽzEYM/@

D'P/Aˆk@X•U!p•O'FL@X8@ID+E pP/DG)EYFRUVDB!JP/DQFRENK U!p•EYM/@TKYB!A@ Eu‰+g@ FHK PKuPB!JZJR‰D/UE—E8U3UJB!X8SV@:¦×^UVX<¨s<[> ‡PQE

UPQX AUEYFR¤VB!EYFRUDpUVX FRD'¤3@KWEYFRS3BE8FZD/SEYM/FHK KuE8PO+‰pP/XYE8M/@IX FHK‡kBVKW@OUD:Eu‘‡UTgUFZD+E[K,

×V>o†‡M/@hD'P/Aˆk@XU!ppPQDG)E8FZUDBJ/P/D/FZENKU!pEYM/@—K8B!As@ EW‰'g@aAsFRSM'Ek-@hJHBX8SV@X pUVX‹pPQE8P/XY@oKuP/g@XNKYGB!JB!X

g/XYU'G)@KYKWUX[K)>

¨'>^v‰QG)JRF GaX8@ISFHKuE8@XhBJRJZU'GB!EYFRUD:FHKhB!JKWUJZFR–3@JZ‰TE8UsGB!PKu@TBˆJZU3Ug:P/D+‘ FZDO+FZD/S/>9= D'E8@X[BG)EYFRUVD€Up•k-UVE8M

P/D'‘ FRD”O+FRD/S pUX‹K8GNM/@O+P/JZFRD/S—B!D”OŸP/D'‘ FRD”O+FRD/ShpUXXY@SFKWE8@IXBJRJRU'GIB!E8FZUDjGBDTJR@BVOE8U B n3P/FREY@‡JB!X8SV@

P/D'‘ FRD”O+FRD/SjO'@SXY@@ :%JG)A U!pEYM/@ k-UVE8M:g/X8@¤'FRUVPK‡UDQ@K<•Fp D/UTg/XY@GB!PQE8FRUVDFHK‡ENB–3@D>

†‡M/@oD/@I£+E•KW@;G)E8FZUDK•B!X8@ O+@¤3UEY@OTE8UjB^gQX8@G)FKW@—KWEYPO+‰jU!p‹B;¤VBFRJHBk/JR@hP/D'‘ FRDO'FRD/SO+@SXY@@KpUXhKuUA@

KWFZAg/JZ@oGBVKW@Kc>

5

1

6 1 1 & 5 1

"!$#&% $'

!#)(

!#

*,+-/.0-21435*,647/+*518

#

*,+-,.9-21435*,647,+*518

#;: <"=

*,+-,.9-21435*,647,+*518

#;: <?>

*,+-,.9-@1435*,67,+*518

>

*,+-,.9-@1435*,67,+*518

=

*,+-,.9-21435*/647,+*518

ŠFRSVP/X8@1ר.‡n B!E8EY@X8DpUVXhBŸSV@D/@X[B!JKWUVJRP/EYFRUVD

A B 3DCFE 0HGJI K ML 01 ( 234+0

= DˆEYM/FHKKu@G)E8FZUDŽ'BJRJE8M/@hENBVKW–QK

Ž

Ž\\\ .BX8@hE8Uk@oXYP/DjUDEYM/@oKYB!A@hEu‰+g@hU!pLpP/DG)EYFRUD”B!JzPQD/FRE[K

: 6 <[Ž+BDOTE8M/@XY@hB!XY@ 5O+FL@XY@D'EpP/DG)EYFRUVDB!JP/D/FZENKU!p Eu‰+g@ 6 :E8M/F K‹AsU'O+@JBJHKWU EYM/@oGIBKW@hU!p B KWMBX8@O

A@AsUX8‰sqk=uq! ABVGbMQFRD/@ <[>h`aJRJE8M/@TE[BKu–/KaM”B;¤3@TEYM/@TKYB!A@O+P/X[B!E8FZUD >†‡MQ@X8@)pUVX8@#

&

FKaM/@XY@

@bn3PB!JLE8UON 5>

= D‚E8M”B!E:GBKu@¥‘‡@:MB¤3@¥B g/X8@;G)FHKu@9X8@;KWP/JZEBk-UVP/EP/D'‘ FRDO+FZD/S,O+@ISX8@I@KŸpUXs‘ M/FHGNM B!D7UVg/E8FZAB!J

K8GNM/@O'P/JR@o@I£+FKWENK1

4$'-$'& | H 'D%0 7@ ;h$ @5>&657"&65<; " %'&6%k(6%0q1m1B8 ".57 & & "%'& +7"

(6%0 &65@(* ;.1 > "(-&40)$

5

S GOA:N ?5<

;"+ (*1#(%'"5E5 PN

”™oRQ 5 > 8,1 & !&67 @5' )&65<; 7@ ;"l&S &)( & &8,)v( Q7"&1(-1&8s(8k. ) (%0

(- .9 => "5<; (6%0 3 ,+ " )'D%0 ( (- >7"@+ (2&"5 TN > 1(9(6%015 8,; > "(-&40) ;(%0;5 > 8,1

93 ,+ "5"U

5"VTN

W 7"&&67"&65<; 8 ŸS GOD:N 5< &)( )1 (6%' (G5 S GOA:N ?5< > h1( 7"&&67@"YX "#(6%0 +s(-&65<;

! (815 & > h1( 8, !" ;@#15 " ; %4 "9 "5@(-"&65&65<;; (A)+ 1( "59(- .9DU [Z #'D%'& &> 0!&$

(6%' ( > 1(8,;h+ (81 (%'"5 5 2N

\]$^_

¿D¤Ö™š¹9‘#œ˜|™+œ

_

’‘™š¹½’¹Æœ¢¤@㤎•¿w¡9ž’œ˜’›9ž’¤#”š»

]

pUXhKYB!EYP/XNBE8FRDQSˆEYM/@ X8@KuUP/X[G)@K,

0.-##*/2,| R|

&

S3GIOD:N 5<

N 5

S GOD:N 5<

B 3DCFE 0HGJI K ML 3 0*( 2,34+0$

a@XY@o‘‡@ B!X8@ FZD€EYM/@.GBKu@ U!p UD/@.EW‰'g@oU!p pP/DG)EYFRUD”B!JzPQD/FRE[K 6 :%FRDD'P/Ajk-@IX15”Ž 6 Ž6 Ž\\\ 6 H

<•B!DO

E8MQ@^E[BKu–/K AB‰ˆM”B;¤3@ Eu‘‡UjO'FL@X8@ID+EhO+PQXNB!EYFRUVDK

B!DO

>B’@TBX8@ SFZ¤3@D N

ENBKu–/KhU!p‹O+P/XNBE8FZUD

B!D”O N

E[BKu–/K U!p•O'P/XNBE8FRUVD

>†‡M/@IX8@)pUVX8@ E8M/@ AFZD/FRATPQA BGNM/FZ@¤VB!k/JZ@oJHBE8@DGc‰ˆF K

& N p N

5

= D€EYM/FHK GIBKW@ Ž/‘‡@oMB¤[email protected]/JR@—GbM”B!XNBVG)E8@IX8FRi;B!E8FZUDUp¤VBJRFHOP/D'‘ FRD”O+FRD/SjO'@SXY@@"

4$'-$'& | Z Q 50+,$" "57 ^& 15@(l "57"&)(2&"5 "/(6%0k! (815 U( "%'& b(6%0k1m1

8 ".57 &

& (6%' ( (6%0 .5&657"&65<; 7@ ;" 11&9$2U

1 &

k& > s(-&40)

5-t

0j &

A: &N

t jN

< 5

&

:¦× <

%019jQ( " &65@(8 ;@1$ ,& &65<;

j p

:j¨s<

1(2"57 " (6%0;"7

"57

!

”™h|

" E;"&b15 @5 &657"&65<; 7@ ;" (l "5s&67@1 "5U+"% 3b,$ " 6 & % ×\\I\5 !

(6%0 5 > 8,1 j &

;(2 .9 7"@+ (2&"5

"5'7(%0 5' > 8,1

&

;(2 .9 v7".$ (-&"5

#53&65,;(%0

3b,$ "$ "# (2.$ (8m =8,(2"&65(6%' ( U

& \j

&

p

& : ds<

'D%'& % !7 "5@ & "5'7 "5. & (6%01 &1( ;"5k&65@(8;@1

&

@%(6%' ( U

j &

0j

&

p

&

¨

:l@<

& &

t

&

¨ : xs<

1 1&)(* (6%' (m(%0( % 5 > 8,1 (2 .9 w7"@+ (2&"5

-$8

!v& N

-+8 TN

!U

TN

j p j

p7\\I\_pxj H : {s<

TN

p

p \\\p .H :u <

H

&N

N

>! #"%$ & $ '(#) *#)+

!"-,

>./$ 8 " & "0" ;! #1 #)+2345&!3 U

7698 :

;

68 :

;

<

' ) .=$ #)+?>& "-,! & "!$ 45&! .@"A #"-,! #"<;B, ;

& 8 C15/DE #, & " F$ #) G !H!",I ! )& DE, 45&!

$ & >

#"

'

;

3

$

F$J$ ! ; )7K45&! , L& $ MN) G !O!"-, I !O >QP+DER !&

(& D .=$?S$$5. > J#) ! )& DE,S$ P 2T45&! > #)+ #" ; 2 ,! #1U F$5 & " &'4

N

0

NV 8UR 5"U

&N

N

XW

5(YZ

W

!"-,[Z\ 3 #" ; 2 $ ]!"-,[Z\ F$ >& >QP F$ , N) #"_^`!"-, 5

a T4 Z

cb

N)+ " d 9

eW

45&!f 1 3 Rhg(!", G !d!"-, I !O 1 2 ,QiDj$ 6 ? 9

kUkUk

@l eW

Y a

!"-, 7l+m

7l+m-

kUkUk H

nW

#' )+

" G !O F$

#1U #/DTDERB1 3

,

&!

I ! $5 #"

>V

a

Z3

W Y a a

5

L

N

%H N

ZopY

a a5 5 68

:

;

ZopY

a

68 :

; Z5 Y a

68 :

;

'

)+

DES$

#"

U.7/DE

R[ F$o,!.

(&d#)+4

>V*#)

lH Y

a?qra

' )+ D& 2 8 & .7"-, &'4

F$s, ,!. >V ,O #" N)+ $5=> !R 45t& >uZ 5

va

w*x-yUztyV{}|/ztyB~@yUtyUz€C‚ƒ-‚Tƒ„C…†x-yUtx-yUz‡ˆ„‰‚TŠ!yUƒ‹‚Tƒ7yU„‰yUz

‚Œh‡ˆŠ‰‡SŽ‚#~~7yU„/ztyUyC|/zƒ|/HU‡pƒ’‘+yB~7|/ƒ-y

‚Tƒ”“+|‰ŽT•7ƒ-|/€C‚‡SŽ–‚€Cy!—(˜-|/z?~@yUtyUz€O‚Tƒ-‚ƒ-„x-yHŽTy™‡/Œ']‡™Š‰‡p‚TŽ#‡p‘-ŽTyŠ‰‡pŽTš-y!›œ‚TJ‚ŒoŒš@žV‚TyUƒ7Ÿ|BŠ!yUz‚E{}•Bx-‚Œ

V|‰ƒ+~@‚Tt‚T|‰ƒ {}|‰z‡Sƒ7•¡‚Tƒ7yU„‰yUz(ŽTyp‡‰Œ'htx+‡Sƒ‹x-yCš“-“+yUzh‘+|/šƒ+~„/‚TŠ!y5ƒ0‘7•”x-y5|/zy5€£¢@—

a

›x+‡p~@y5“¤y5ƒ+~-Œ

|/ƒŽT•B|/ƒ”tx-y‡pzx-‚TtypVšzy!—Ÿw*x7š+ŒV›tx-yh“z|/‘ŽTyU€¥|S{¦~@y5yUzt€C‚Tƒ-‚ƒ-„htx-y€C‚ƒ-‚T€O‡SŽœš-ƒ@…†‚ƒ+~@‚ƒ-„C~7yU„/ztyUy

ƒ-yp2ypŒŒt‡Sz•H{}|/zJ|‰“-‚€B‡SŽœx-zt|/š-„‰x-“-š-J|‰ƒ¡‡f„‰‚TŠ!yUƒ`‡pzx-‚TtypVšzy(‚#Œ*“+|/Ž•@ƒ|/€C‚‡SŽL—w*x-‚ŒQzypŒš-ŽT†‚Œ§Š!y5z•

‚Tƒ7y5zypŒ‚Tƒ„”‚Tƒ_“z‡/2‚#5‡SŽMU‡/ŒypŒV›Ÿ‘¤y™U‡Sš+Œy”‚THx+‡S““¤y5ƒ+ŒC|S{}y5ƒ_x¨‡SCtx-yUzy¡‡pzy`|/ƒ-Ž•_…*|‹~@‚F©œyUztyUƒ7

~@š-zª‡St‚T|/ƒ¨Œ]|‰ƒ‡C„/‚Š!yUƒ”•@“+yH|S{†“z|7VypŒtŒ'|‰z

{}|‰z(‚Tƒ+Œ‡Sƒ¨Vyd|‰ƒ-yO~@š-z‡p‚|/ƒ0{}|‰z]«¨|!‡St‚Tƒ-„`|/“+yUzª‡S‚|/ƒ‚ƒ

Œ'‚€C“-ŽyQ“-ztypV‚Œ'‚T|‰ƒ›-‡pƒ-|/tx-yUzŸ~@šz‡St‚T|‰ƒ[{}|/zM~@|‰š-‘-ŽTy(“-ztypV‚Œ'‚T|‰ƒ —

¬Q­–®-¯°–±³²`´¶µ·& "%$5 #, 2 5 ¹¸

#, " > /DP &p>V $$ &! $?!"-,”ˆD&p& P A N) N »º

S$.9U$ &'4 ,!. & "

; ¢

!"-, N ½¼

S$.9U$

&'4

,!.

& " ; ½¾

' )+

"

H&

8

! #"

6

e¿

W R 9‰ #"<;

½¼

!"-,

ha

N)+( =8VD ;! #1 $ #)+ 1U/DE. $ 45&!J#)+ D& 2 !"-,C.UP!P 3 8 & .7"-,S$ &'4 P 1U & ./$? #" U.7/DE $

' )+2345&!3 N)+ D S$ 1U/DÀ.@=8VD 15/DE. †45&!

6

F$HÁ 45&! ) >3) H& 8 ! #" #)+ P ³2 ", 1A" & "

;!. 3 ‰Â

w*x-yÃ+zŒV|‰ƒ+~@‚Tt‚T|‰ƒU‡pƒ0ƒ|/h‘+yB~7yp~@š+Vy™~Ä{}zt|/€ÅxyCŒypV|/ƒ¨~0|/ƒ-y=—Cw*x-‚ŒhU‡pƒ0‘+yBŒyUyUƒ¡|/ƒtx-y

{}|/ŽŽT|p…†‚Tƒ„yUÆ-‡p€C“-Žy!Ç

¬Q­–®-¯°–±³²BÈcµ·& "%$5 #, 2 5 ¢/¢ P t&p>V $$ &! $o!"-,ˆBD&p& P #) N

¢” S$.9U$ &'4 ,!. & " ; a

!"-, Nœ

n¸

S$.9U$

&'4

,!.

& " ; ¢ b ' )+

"

?&

8

! #"

6

É

W R 9‰ #"<;

¢

!"-, ¼

O&

8

! #"

N)+

15/DE.

$;! #1

"Ê #"

=8VD

'

)+

$ 1U/DE.

Q45&!

) >3)¡#)+

#"

U.@/DÀ R !

)&

DE,S$ž F$

C

a/a

D8U. $5 #" >V 6

É/

F$(" &/ B>.!D jP+D?&'4 ; º

1s F$(" &/ 15/DE.@=82D ' )+ D S$ 1U/DE.7=8VD

, ;

F$

[

a ¾

#)+

"

Ÿ&/N)+3

$s 3

+Ë"Â@^ Â!Â

kUkUk

!&

<

. 5

=

&N

N3 5

>

Ë !^ 2

$-^

 7G Â@^ 7G

# ^ #

Á Á@ Á@^ #+I

‰Â t!^ Á@

Ë Ë!Ë ªË/^ Ë/^

w–‡S‘-Žy

a

LJpŽTš-ypŒ {}|‰z†yUƇS€C“-Žy

a

B 3DCFE 0HGJIKMLB- 0D 3 3 0 ( 234+0 $

!vx-yUƒxyUzy‹‡Szty€C|/zty”x+‡pƒn…*| ~@‚F©œyUztyUƒ@ž~@š-z‡p‚|/ƒ+Œˆ|‰ƒe‡’„‰‚TŠ!yUƒv“-zt|7VypŒtŒ'|/z5›hy#"!š+‡St‚T|‰ƒ+ŒCŽT‚$!y

x|!Œ'yB|p{J“-ztyUŠ7‚T|/š¨ŒhŒ'y™V‚|/ƒU‡pƒ‘¤y`‡pŽ#Œ'|¡Œ‡pyp~›‡Sƒ¨~ tx-yC“-zt|/‘-ŽyU€£|S{]~@yUy5z€C‚ƒ-‚Tƒ-„B…†x-y5x-yUzs‡Sƒ

š-ƒ-zt|/ŽŽT‚Tƒ„¡~@yU„/ztyUyˆ‚ŒfŠ‰‡pŽT‚#~‡p€C|/š-ƒ7Œ|‹‡”‚Tƒ7yU„‰yUz“-z|‰„/zª‡S€C€C‚ƒ-„¡Œ‡p‚Œ ܇p‘-‚TŽ‚T•“-zt|/‘-ŽyU€”›T—w*x‚#Œ

“-zt|/‘-ŽyU€ ‚Œ%$@ƒ|S…†ƒÊ|¡‘+y'&(*)V|‰€C“-ŽTy5y!›–‘-š-“+|/Ž•@ƒ-|‰€C‚#‡pŽ*{}|/zH‡ˆÃ+Æ7yp~ƒ@š-€H‘+yUz(|S{(Š‰‡pz‚#‡p‘-ŽTy™Œh|/z

y#"!š+‡St‚T|‰ƒ+Œ+-,y5ƒ

¢/.—0Q|p…*yUŠ!y5zQtx-yHV|/€O“-ŽTyUÆ7‚T•C„‰z|p…ŸŒJyUÆ7“¤|‰ƒ-yUƒ7‚‡SŽTŽ•B…†‚Tx¡xyƒ@š-€H‘+yUzŒ†|S{¦Š‰‡Sz‚1)

‡S‘ŽTypŒ2—32!‚ƒ+Vy†x‚#Œƒ@š€d‘+yUz–‚#Œx-yUzty 54 x-yŸƒ7š-€d‘+yUz–|S{ ~@‚F©œyUztyUƒ7·~@š-zª‡S‚|/ƒ+Œ2›@tx-yJ2|/€C“-ŽyUÆ7‚T•Q€ž‡5$!ypŒ

x¨‡S†“-zt|/‘-ŽyU€ ‚Tƒ7zª‡/Vª‡S‘-Žy(‡/ŒŸŒ'|!|‰ƒ¡‡/Œ†x-y?‡pzx-‚TtypVšzyŸ‘¤y™V|/€Cy™Œ €C|‰zy(V|‰€C“-ŽyUƗ

w |?|/š-z$7ƒ-|p…†ŽTyp~7„/y!›!x‚#Œ‚#Œ‡SƒH|/“+yUƒC“-zt|/‘-ŽyU€¶…†x-yUtx-yUz‡hŒ‚T€C“ŽTyUzAV|/ƒ¨~@‚Tt‚T|/ƒ{}|/z¦‡SƒCšƒ@…†‚ƒ+~@‚Tƒ„

~@yU„‰zyUy?|C‘+yH‡UŠ‰‡S‚Ž#‡S‘ŽTyhy5Æ@‚Œ'Œ2—76Lƒˆtx+‡S]U‡/Œy!›xyhyp‡‰Œ'‚Ty™Œ'J‚Œ§t|Cš+Œ'yH‡H‘-‚Tƒ”“+‡‰8$7‚Tƒ„dx-y5š-z‚Œ'‚JŽT‚$!y

xyo|‰ƒ-y(€CyUƒ7‚|/ƒ-yp~H‡SŸxyoxyp‡/~C|S{9x-‚Œ†Œ'ypVt‚T|‰ƒ—

:9 ;<=>3?A@CBD?EF

GQƒ7‚Žƒ-|p…(›…*yx¨‡™Š!y€ž‡/~@y?x-yO‡/ŒtŒ'š-€C“‚T|‰ƒ”x+‡p(|/ƒ-Ž•”|/ƒ-y•7“¤y 6¶|S{Ÿ˜—HGh—…¦‡/ŒJš-ƒ+~7yUz(V|‰ƒ+Œ'‚~I)

yUzª‡S‚|/ƒÄ‡Sƒ+~ˆtx+‡SJ‚Q…¦‡/ŒJxy

|‰zJ|/ƒy

‘+|/tŽTy5ƒ-ypJ$C|S{xyŒx-yp~7š-ŽT‚ƒ-„d“z|/‘ŽTyU€”—A6 ƒ”|‰x-y5zQ…|/z~ŒV›

68

: 6 8 : —

w*x-yJÃ+zŒŸŒ'tyU“B|p…†‡pz~-Œ*tx-y(„/yUƒ-y5z‡SŽ‚Kp‡p‚|/ƒC‚Œ*|HV|‰ƒ+Œ'‚~@yUz†‡ƒ-|‰ƒ[‘+|‰ŽyUƒ-ypJ${}š-ƒ+Vt‚T|/ƒ¨‡SŽšƒ-‚T5›

‚L—y!—

698

: Z 6 8 :

—w*x-yH“-zt‚Tƒ+V‚“-ŽTy?‚#ŒJ|`‡‰~-~ÄäV‚‚T|‰š+ŒQª‡/Œ$Œo…†‚x¡~@šz‡St‚T|‰ƒ

a

|`V|/€Oyh‘+‡‰8$`|

xyh5‡/Œ'y(|p{·‡‘+|/tŽTyUƒyp8${}š-ƒ+2‚T|‰ƒ+‡SŽšƒ-‚T5—

w*x-yŒypV|‰ƒ+~ˆŒyU“`‚#Œ†|Cª‡5$!yh‚ƒ@t|H‡/U2|/š-ƒ7(‡SŽŽx-ys˜*—HG?—-'•7“+ypŒ†‚Tƒˆtx-y(€B‡/x-‚ƒ-y!›@…†xyUx-y5zQ‚Q‚Œ

‡h‘+|/tŽTy5ƒ-ypJ$d|‰zQƒ-|‰U—

LNMPOQM

´ RS²TSDUSWVUFXYXp±}²IS–²[Z5\^]

M_`M

6Lƒ”x+‡p(U‡‰Œ'y!›…yx+‡UŠ!y

68

: Z 6 8 : :

acb

—d!¡y‚Tƒ7zt|7~@š+Vyhܐ2‚Tt‚T|‰š+ŒQ‡‰Œ$ŒJ…†‚Tx¡~7š-z‡p‚T|‰ƒ+Œ

a

›œx+‡po…yH‡/~-~”|Ox-yHŒ•-ŒyU€

‚F{tx-yUzyH‡pŽTztyp‡/~@•`yUÆ7‚#Œ'ªŒ§ª‡/Œe$-ŒJ|S{§~@š-zª‡S‚|/ƒ

a

Œt‡U• N ›œx-yUƒ”…y

‚Tƒ¨Vzyp‡‰Œ'y

N

‘@•`‡Cƒ7š-€d‘+yUz

Nf

›yUŽŒ'y…*y?‚Tƒ7zt|7~@š+Vy ; f a

‡Sƒ+~¡Vzy™‡Sy

Nf

‡‰Œ$ŒV—w*xyƒ@š-€H‘+yUz†|S{

ƒ-yU…vª‡/Œe$-Œ*‚Œ*Œ'y5†|

68

:hgYi N ;

—·w*x-y(ƒ-yU…vzy™Œ'š-Ž‚Tƒ„hŽ#‡pyUƒ¨V•

6jk

‚Œ%l : m

:nm

ao 698

:

‡Sƒ+~

xyh˜—HGh—!‚#Œ†2|/ƒ+Œ‚#~@yUztyp~B‡/ŒŸ‡f‘+|‰ŽyUƒ-ypJ$O‡Sƒ+~B…*yJtš-zƒ`š-“B|Hx-y(“-ztyUŠ@‚|/š+Œ†5‡/Œ'y=—

¼/b

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 u=5

d1=3 d2=5

L=4

k=7

˜–‚T„/šzy

a

¢7ÇeŒ'|‰ŽTš-t‚T|‰ƒˆ|y5Æ-‡p€C“-ŽTy

a

LNMPOQMÈ Up² X®FSWUS–²'] M1_`M X–° ²

,yU†š+ŒŸŒ'š€ š-“B…†x+‡SŸ…*y(x+‡UŠ!yQ{}|‰š-ƒ+~Bš-ƒ@t‚TŽœƒ-|p…(Ç

6LƒB‡pƒ@•`U‡‰Œ'y!›7x-y [

g

g kUkUk

g 8 ‚#Œ†‡Š‰‡SŽ‚#~Cš-ƒ7…†‚Tƒ+~@‚ƒ-„H~@yU„‰zyUy=—

!vx-y5ƒCx-y]˜*—HGh—!•7“¤yŸ‚#Œ†‡(“-z|‰„/zª‡S€ ‘+|/tŽyUƒ-ypJ$C‡pƒ+~Cx-y5zyM‡Szy(ƒ-|?€C|/ztyQtx+‡SƒB…*|s~@‚F©œyUztyUƒ7

~@šz‡St‚T|‰ƒ+Œ§{}|/z(ª‡/Œ$ŒQ|‰ƒ0tx+‡SJ{}š-ƒ+2‚T|‰ƒ+‡SŽ–š-ƒ-‚U›tx-yUƒ”…yx+‡UŠ!y‡CŠ!yUz•`Œ‚T€C“-Žy(V|‰ƒ+~@‚Tt‚T|‰ƒˆ{}|/z

Š!yUzt‚F{}•7‚Tƒ-„(…†x-y5x-yUzŸ‡pƒˆš-ƒ7…†‚Tƒ¨~@‚Tƒ-„H~7yU„/ztyUy(‚#Œ†‡UŠ‰‡S‚TŽ‡S‘-ŽyJ|/zŸƒ-|‰U—

6³{Mx-yĘ*—HGh—•7“+y[‚Œfƒ|/B‡”“-z|‰„/zª‡S€ ‘+|‰ŽyUƒ-ypJ$œ› tx-yUƒ_…yˆ€Hš+Œ's‡/~-~’äV‚‚T|‰š+Œ‡/Œe$-Œ|S{

~@šz‡St‚T|‰ƒ

a

|OV|‰€CyQ‘¨‡/J$C|Hx-y(“-ztyUŠ7‚T|/š¨Œ†U‡/Œy!—

!vx-y5ƒrtx-yUzy¡‡pzy¡€C|/zty”x+‡pƒ

¼

~@‚F©œyUztyUƒ7B~@š-zª‡S‚|/ƒ+ŒB|/ƒx-y‹˜*—Gh—T›†xyUƒr…y¡~@|/ƒjBx+‡UŠ!y

‡pƒ@•HŒ‚T€C“-ŽyŸV|/ƒ¨~@‚Tt‚T|/ƒ{}|/zŠ!yUz‚E{}•@‚ƒ-„Jtx+‡SŸ‡pƒCš-ƒ7…†‚Tƒ+~@‚ƒ-„?~@yU„‰zyUyJ‚ŒŠ/‡pŽT‚~›@‘-š …y(U‡pƒCzt•|

Œt3x-y™~@š-ŽTy·tx-y*ª‡/Œ$Œ…†‚Ttx-‚Tƒ?x-y„/yUƒ-y5z‡Styp~h“+‡py5zƒ…†‚Ttxhtx-y‘-‚ƒh“+‡‰8$7‚Tƒ„Q‘+‡‰Œ'yp~hxyUš-z‚Œ't‚#/—

w*x-y?‡SŽ„/|/zt‚Ttx-€ …*yM“-z|‰“¤|=Œ'y?‚#Œ*|Š!y5z‚F{}•h{}|‰zQy™‡/xC‚Tƒ7yU„‰yUz*Š‰‡pŽTš-yJ{}z|‰€

a

|

g g

kUk5k g 8

‚F{–tx-yUztyoy5Æ@‚Œ'Œ†‡Š‰‡SŽ‚#~CŽT|!|‰“”Œx-yp~7š-ŽTyQ{}|‰z†x+‡pQŠ‰‡pŽTš-y!—2=‚Tƒ+Vy(tx-‚#Œ*š-““¤y5zQ‘+|/šƒ+~ˆ~@y5“¤y5ƒ+~-Œ†|/ƒ-Ž•C|/ƒ

xy‡Szª3x‚Ty™Vš-zty?‡Sƒ+~ˆyp‡‰3xČ'tyU“¡U‡Sƒ”‘+y“+yUz{}|/z€Oyp~C‚Tƒ”“+|/Ž•@ƒ-|‰€C‚#‡pŽ‚€Cy!›-…*ysV|/ƒ¨VŽTš+~7yhx¨‡SJtx-y

“-zt|/‘-ŽyU€ |S{9€C‚Tƒ-‚€C‚KU‚Eƒ-„htx-y(š-ƒ7…†‚Tƒ+~@‚ƒ-„O~@yU„/ztyUy(‚#Œ†“+|/ŽT•7ƒ-|‰€C‚#‡pŽ{}|/zM‡f„‰‚TŠ!yUƒ`‡Szª3x‚Ty™Vš-zty!›@‘š-Q…y

¼