Efficient Parallel Graph Coloring with Prioritization Laxmikant V

"!$#%& ' & ()*+,
-/.103254768.9;:=<?>[email protected]&9KJ
>ALM4ONQPA.CRSF;TM.9AF5U=D&RQRWV"X>;YZBEB7D&9
[\^];_&`babc\^da+egfih=ejc]8k8ab\^`MlmQno\^d8m^\jp
qIdnorj\^`bstnoavuegfxwzy{y{nod8egnos|_ga+qI`b}~_gd~_h€~_gc|];_^nojd‚p
ƒ…„j†&•^‡
–8—ˆŠ˜™›‰ štlœ;]‹`tžgnoŸ~d8g—&œŒ~ \Qyo¡›šb—Ž+˜rj˜\ ™…‰ ¢‚p~£&qI¤`bž}~¡›_g¥§d~¦‚_^¦Cwbž›3¥t‘“™j’ jƒ&¦”j†ƒ
Ÿ8¨¨j©iªb««žgŸ8—jœj¬­¥bžj¡›¥z¦;^¦Cž›¥b™g j¦
®
¯›°S±^²&³‹´±jµ*¶ `W_g]8ZmSegyoej`tnod8Mnos=_&d·nodab\^`b\Ssbatnod‹)]‹`be}Cyo\Sc¸ab~_ga¹nos¹nodabknoatnorj\)_&d‹
stnoc]Cyo\|abeZfOej`bc)kyE_gab\jp‚u\^a n{ºm^kyoaMabesbegyorj\)\QºmWno\^datyou ‰A» 8\|_g]8]Cy{nom&_&atnoejd8segf
j`W_g]8Hm^egyoe`tnod‹"_g`b\dk8c\^`bek‹s^pA`W_gd8gnod8fO`bejc'sbmQ8\^8kCy{nod8abe?sbegyorjnod8,y{nod8\&_g`
sbusbab\^cs ‰‚¼ \^m&_gk8sb\)j`W_g]8m^e&yoej`tnod8nosImSejc]8k‹aW_&atnoejd~_…yoyou,nodab\Sd‹stnor\jp›_]~_g`W_^y{yo\Qy
_…yoje`tnoab‹c½nos)‹\Sstno`W_g}yo\ wtdHabnosZ]~_g];\S`^p¹¾=\)]8`b\^sb\^da)_
sb\SaMegfi];_&`W_…y{yo\Qy`W_g]8
m^egyoe`tnod‹8\^k‹`tnosbatnomSsM_gd8‰ 8\^sbm^`tno}~\Zab8\Qno`=noc]yo\^c\^daW_&atnoejdnod_gd\^drjno`bed‹c|\^da
sbk‹]8];ej`batnod8¿c_gmWnod‹\Q‘Onod8‹\S]À\Sd‹8\&da];_&`W_…y{yo\Qy)]8`bej`W_gccZnod8 ‰» 8\8\^k8`tnosbatnom^s
_g`b\
nodab\Sd‹8\^Šabe5]8`be&rjno‹\mSejd8stnosbab\^da^p=ced‹eabejdnom&_…y{yEuÁnod‹m^`b\…_gstnod8sb];\^\S‹k8]‹s
_gsab‹\)dk8cZ};\S`Megf/]8`bem^\^sbsbej`bs nosnod‹mS`b\&_gsb\^ ‰Aˆ \M]8`b\^sb\^daMsbec\M];\^`tfOe`bc_gd8m^\
`b\^sbkCyoabs/ab~_ga›8\^cejd8sbab`W_gab\ab8\=\Q‚\Sm^atnorj\^d8\^sbs=e&f‚ejk8`›8\^k‹`tnosbatnomSs_gd8ab8\=k‹atn{y{noavu
egf›ek‹`Ã_g]8]‹`be1_gmW ‰
Ä Å~ÆIǂȂÉMÊ)ËZ̹Ç3ÍQÉÆ
UMP‚DZÎ8R^.ςPHN^ЋB7Ð8RW479‚Î
ςRWЋтB7D&2479;Ò8Ð8B7ҋD&T.TWTQ47Î89‚479‚Î?N…Ð8B7Ð8RQT+:QÐÒ8D&RQ:W4ON^D&TZ479H.Î8R^.ςP5TWÓANQP
:QPA.:.8F&Ôg.8N^D&9;:ҋD&RW:Q4§N…D&THPA.jҋD"F;47TQ:W479AN^:HN^ЋB7Ð8RWTj>=<+.RQ47Ð8ӂT
ÕvÐ8RQ2ӂBO.:Q4EЋ9‚TÐÕ:WP‚DÎ8R^.ςP
N^ЋB7Ð8RW479‚ÎςRQÐ8тB7D&2ÖPA.jÒ8DMѹD&D&95ÏAЋTWDF­>8UMP‚DMϹ.RW:Q4ON^ӂBO.R=ÕtÐ8RW2ÓÀB§.C:W47Ð89Z×+D ÕtÐ3N…Ó‚T+Ћ9?47T:QP‚D
ÕvЋB7BEÐ×M479‚ιØ
-›Dg:?ÙÚÛQÜiÝ^ÞßѹDH.9Áӂ9¹F;47RWDN^:QDFÁ΋RS.CςPÁ×M47:WPÁÒ8DgRW:WD…0àTQD&:HÜ.9AFáDF;΋DHTQD&:âÞ
TQÓANQPŠ:WP¹.:ÞÚäã8ۓåæÝ^ç8ßè åæÝSç‹égÜê~>=ë47Ò8D&9Š.ìTWD&:ÐÕ|N^ЋB7Ð8RWTíÚäã~î‹ÝSïÀÝðjðjðWÝ^ñ¹ê~ò¹ó¹9AFŠ.
2.ςς479‚ÎôØ;ÜõöíÖTQÓANQP":QPA.:)ôæÛbåAß*Ú÷ ôæÛbç8ß ÕtÐ8R D.8NQPÁÛbå/Ý^ç8ßQéSÞ,>
UMP‚47T=ςRWЋтB7D&2ø47T/6;9‚Ð×M9:WÐZÑAD)ùZúæûüN…Ð82HÏÀBEDg:WDý{þgÿW>1GIDN&.CӂTWDM47:æ4ET=479;:Wӂ47:Q4EҋD+.9¹FTW472û
ςB7D:QÐZÕvÐ8RQ2ӂBO.:WD=V‹D&:F;4 "N^ӂB7:/:QÐ)TWЋB7Ò8D8òj:WPÀ4ET=ςRQÐ8тB7D&2ÖPA.T=F;RS.j×M9TWÓÀтTW:^.9;:W4O.B;479;:WD&RQD&TW:
ÐҋD&R:WPÀDV8D.CRWTÛtD8> ÎA>æ:WP‚DD^0‚:QD&9‚TW47ҋDH× Ð8RW6áÐ89Á:WPÀD û Ð8B7Ð8RςRQÐ8тB7D&2ý7î gÿ ÕvÐ8RςBO.C9A.R
΋RS.ÏÀP‚T)ЋR|2.ςT^ß&>‚ëR^.ςPN^Ð8B7Ð8RQ479‚ÎH47T|.C9¿472HϹÐ8RQ:S.9;:MςRQÐ8тB7D&2×M47:QPK.ςÏÀBE4ON&.C:W47Ð89ÀTM4E9
RQD&Î847TW:QD&R?.CBEB7ЂN&.C:W47Ð89/ò¹T^NWPÀDF;ӂB7479‚ΏýEîQÿWò›:QP‚DD "N^47D&9;:?N…Ð82HÏÀӂ:S.C:W47Ð89¿ÐCÕÃTQÏA.RQTWD ~.8N…Ð8т4O.9
2.:WRQ4ON^D&T)ý jÿWò.9AF:QP‚DMÏA.CRS.B7B7D&B;TWЋB7ӂ:W47Ð89
ÐÕABO.RQÎ8DTQÏA.RQTWDMB7479‚D.CRiTQV;TW:WDg2HT)ý ‚ò;î ;ò‚îþ;ò‚î ;ò
î gÿü> æ479AF;479‚Î.N^Ð8B7ЋRW479‚Î)ЋRF;D&:WDgRW2H479‚479‚Î:QPA.:=9‚ÐÒ8.B74OFN^ЋB7Ð8RW479‚ÎZD^0‚47TW:WTIÐÕv:QD&9479~ҋÐ8B7Ò8DgT
.,B§.CRW΋DTWD.CRSNQP×MP‚4ONWPá4ETN^Ð825ςӂ:^.:W47Ћ9A.B7B7V?479;:WDg9‚TW47Ò8D‹> b9:WPÀ4ETZÏA.ϹD&RjòA× DςRWD&TQD&9;:?.9
D "N…4EDg9~:ZÏA.R^.B7B7D&Bi.CB7Î8Ð8RQ47:WP‚2 .C9AF547:WT)4725ςB7D&2HD&9;:^.:W47Ћ9ÕvЋR):QP‚DÎ8R^.ςPN^Ð8B7Ð8RQ479‚ÎςRWЋÑ;û
B7D&2> )ÓÀR*.CB7Î8Ð8RQ47:WP‚2P¹.9AF;B7D&T:QP‚DâNg.TWD479¿×MP‚4ONQP¿9‚Џñ‹ûüN…Ð8B7Ð8RQ4E9ÀÎ4ETZÏAЋTWTQ4EÑÀBED‹òx.CT)× D&B7B
.CT:WP‚DN&.TQD4E9Á×MPÀ4§NQPŠ.¿N…Ð8B7Ð8RQ4E9ÀοD^0‚47TW:WTjò/×MPÀ4§NQP 4ET
:WP‚D5PA.R^F;D&RN&.TQDH:WÐÏA.CRS.B7B7D&B74 &D8>
ZӂRϹ.RS.CB7BEDgB€.CB7Î8Ð8RQ47:WP‚2479AN^ЋRWϹÐ8R^.:WDgT?2.9;VHP‚DgӂRW47TW:Q4ON^Tò=479AN^B7ÓAF34E9ÀÎH:WPÀÐ8TWD.472HDjF¿.:
RQDF;ÓAN^479‚Î
:WP‚DZTW4 &D)ÐCÕ/:WP‚DZTWD.CRSNQPHTQÏA.8N…D|.9¹F &D&RWЋ479‚Î?479Ð89H.TQÐ8B7ӂ:Q4EЋ9 ‹Ó‚4ONW6;B7V;> b:IӂTWD&T
.ςRQ47Ð8RW47:Q4 j.:W47Ћ9TSNQP‚D&25DM:WÐ68DgD&Ï:WP‚DZÏA.R^.B7B7D&B;TWD.CRSNQPÕtÐ3N…Ó‚TWDFЋ9óA9AF;479‚Î:QP‚D óARWTQ:TWÐCû
B7ӂ:W47Ћ9/>;UMP‚D.B7Î8ЋRW47:WPÀ2 47TM472HÏÀBEDg2HD&9;:WDjFӂTQ479‚Î PA.RQ2Kò‹×MP‚4ONQPHTWÓÀςÏAЋRW:QT)TW2.B7B û“΋RS.C4E9
ÏA.CRS.B7B7D&B=Ð8Ñ8ԅDN^:WT
×M4E:QP¿Ï‚RQ4EЋRW47:W4 &DjF›ò/F;V;9A.C2H4ONZBEÐ;.8F5ÑA.CB§.C9AN^479‚ι> P¹.RW2 .CB7TWÐHÏÀRWÐÒ;4OF;D&T
ϹÐ8RW:^.т47B747:bV~òg×MP‚4ONQP2HD.C9‚T/:QP‚D).B7΋Ð8RW47:QP‚2 Ng.9RQӂ9?Ћ9â.C9;V|Ћ9‚D ÐÕA:QP‚D+2.9;V)2.8NQP‚479‚D&T
Ð89×MP‚4ONQP PA.RQ247TMTWӂÏÀÏAЋRW:WDjF›>
b9 ;DN…:W47Ð89Áï‚òÀ×+DÏÀRWD&TQD&9;:|:QP‚DTQD.R^NWPáÕvЋRW2ӂBO.:Q47Ð89H.9¹FHPÀD&ӂRW47TQ:W4ON^TD&2HÏÀBEÐV‹DF,ÕvÐ8R
TWЋB7Ò~479‚ÎZ:WP‚D Î8R^.ςPN^Ð8B7Ð8RQ479‚Î)ςRQÐ8тB7D&2> ;DN^:Q47Ð89 )ÏÀRWÐÒ;4OF;D&TiF3D&:S.C4EB7TæÐÕA:QP‚D+4725ςB7D&2HD&9;:^.jû
:W47Ћ9H479:WP‚D PA.CRW2½ÏA.CRS.B7B7D&B¹Ï‚RWЋÎ8R^.2H25479‚ÎMD&9;Ò;4ERQÐ89‚25D&9;:> b9 ;DjN^:W47Ð89 Aò‹×+DD&Ò8.CB7ÓA.:QD
:WPÀD)TWÓ¹N&N^D&TQT)Ð՛:WPÀD)P‚D&ÓÀRW47TW:Q4§N…Tò‚F;47TSN…Ó‚TWTM:QP‚DM472HÏA.‹N^:=ÐÕ/Î8R^.479‚TQ4 gD)N^Ð89;:WRQÐ8Bbò8.C9AFςRWÐÒ;4OF;D
TWЋ2HDMϹD&RbÕtÐ8RW2.9AN…D)RWDgTWӂB7:WTj> æ4E9¹.B7B7V~òj× D)TWÓÀ2H2".CRW4 &D :WP‚DRQD&TWӂB7:QT+ÐCÕi:WPÀD)RWDgTWD.CRSNQP¿.9AF
Ð ›D&RZTWÐ825D|N^Ћ9AN^B7ӂTQ4EЋ9‚TM479 ;DN^:Q4EЋ9¿þ‚>
!
"
# $
%
=È‚Ì ?È =ÆZÊ æË)È‚Í 8ǂÍQÌ
b9Ð8R^F;D&R:WÐÁ.8NQP‚47D&ҋDTW47Î89‚4 óxNg.9;:?TQÏADgDF;ӂςT5479Š:WPÀD"TQÐ8B7ӂ:Q4EЋ9ŠÐCÕ|:WPÀD"΋RS.CςP N^ЋB7Ð8RW479‚Î
ςRQÐ8тB7D&2ò›47:47T?472HϹÐ8RQ:S.C9~::QпD&2HÏÀBEÐV.Ò8.RQ4EDg:bVKÐCÕ|P‚D&ÓÀRW47TW:Q4§N…T> b9Á:WPÀ4ETTWDjN^:W47Ð89æò=×+D
óARQTW:ςRQD&TWDg9~:
:WP‚DTW:QRWÓAN^:QӂRWDÐCÕ+:WPÀD?ÑA.CTW4ONTQD.R^NWPŠ.CB7Î8Ð8RQ47:WP‚2ò~.C9AF:WPÀD&9ŠF;D&T^N^RW47ѹD:WP‚D
P‚D&ÓÀRW47TW:Q4§N…TM4E25ςB7D&2D&9;:WDjF:WÐ4725ςRWÐҋD:WP‚DZÏADgRbÕvЋRW2".C9AN^DMÐCÕx:QP‚D)TQD.R^NWP.9AFDgÒ8.B7ÓA.:Q47Ð89
ςRQÐ3N…D&TWTj>
&
')(+*-,.*0/
1(2'
*3*4/
254*
76
86
9
:<;>=
?A@9BDC8BFE1GIH@J?KGBFB
UMP‚DÑA.CTW4ON TW:QRWÓAN^:QӂRWD
ÐÕ/Ð8ÓÀRÃ.CBE΋Ð8RQ4E:QP‚2'47T :WPA.C:ÐÕ.9D^0‚PA.CӂTW:Q47Ò8D)TQ:S.C:WD^ûbTWÏA.‹N^DTQD.R^NWPæ>
æ0‚PA.CӂTW:Q4EҋDMTWD.CRSNQPH47TDgTWTWDg9~:Q4O.B¹4E9Ð8R^F;D&R:QÐRWDgÏAЋRW: :WPA.C:i9ÀÐ?ñ‹ûWN^Ð8B7Ð8RQ479‚Î)47TϹÐ8TQTW47тB7D ÕvÐ8R
.5ÏA.RQ:W4ON^ӂBO.CR)Î8R^.ςPæ> b9N^Ð89;:WR^.TQ:ò›2.9;VHЋ:WP‚D&RP‚DgӂRW47TW:Q4ON2HD&:QP‚ЂF;TÛtD8> ÎA>=ý{ïgÿzßZ.472.:
‹Ó‚4ONQ6~B7V
óA9AF;479‚Î.ñ‹ûWN^Ð8B7Ð8RQ479‚Î4 Õ/Ð89‚DMD…0347TQ:WT> tÕ=:WP‚DgTWDP‚D&ӂRQ47TW:W4ON·2HD&:QP‚ЂF;T=Փ.C4EBbò47:47T9ÀÐ8:
N^B7D.CR)×MP‚D&:QP‚D&R.ñ‹ûWN^Ð8B7ЋRW479‚ÎF;Ð;D&T)9‚Ћ:)D^0‚47TW:jò‚ЋRMTW472HςB7V×Ã.CT)9‚Ћ: ÕvÐ8ÓÀ9AF›> ;Ћ2HDÐ8:QP‚D&R
.ÏÀςRWÐ;.8NQP‚D&TMÛtD8> ÎA>;ý ;ò gÿvß=F;Ð)9‚Ћ:=TW:S.CRW:=×M47:WP. ó‚0‚DF
9;ӂ2ѹD&R/ÐCÕ­N^ЋB7Ð8RWTjòjтӂ:=479‚TW:QD.8F
:WRQV
:WÐ
ςRWЂF;ÓAN…D|.N^Ð8B7ЋRW479‚Î×M47:WPÕvD&×N^Ð8B7ЋRWTò‹×M47:WP‚Ћӂ:.9;V΋ÓA.R^.9;:WD&DgT+ÐCÕxЋς:W472".CB74E:bV;>^UMP‚D
N^Ћ2Hςӂ:^.:Q4EЋ9¿ÐÕ).5TW:^.:WD…û“TQÏA.8N^D5TWD.CRSNQPŠB7D.‹F;T:Wп.TQD.R^NWPÁ:QRWD&D5479K×MP‚4ONQPD.8NQPÁ9‚ЂF;D
ÐÕM:WPÀD?:QRWD&DRQD&ςRWDgTWD&9;:WTH.5ÏA.CRW:Q4§.CB7BEVN^Ð8B7ЋRWDFáÎ8R^.ςP/>¹UMP‚DTQӂт:QRWD&D&Tӂ9AF3D&RD.8NQPÁ9‚ЂF;D
RWDgςRWD&TQD&9;:TW:^.:QD&T|F;DgRW47Ò8DF,ÕvRQÐ82:QP‚DN^ӂRQRWD&9;:TW:^.:WD‹>‚UMP‚DB7D.jÒ8DgTMÐÕi:QP‚D:QRWD&DRQD&ςRQD&TWD&9;:
TW:^.:QD&T+:QPA.:N&.C9‚9‚Ћ:i΋D&9‚D&R^.:QD).)9ÀD&×TW:S.C:WD öD&47:WPÀD&R+.ZTWÓANgN^D&TWTüÕvӂB/N^ЋB7Ð8RW479‚ιò&ЋR+. Փ.C47BEDjF
.:Q:WD&25ς:>
ë47ҋD&9".
9‚ЂF;D ìÐÕi:QP‚DTWD.CRSNQP¿:QRWD&DRQD&ςRQD&TWD&9;:Q4E9ÀÎ".ÏA.CRW:W4O.CBEB7VN^Ð8B7ЋRWDF5Î8R^.ςPÙò
Ð89ÀD*Ng.9¿Î‹D&9‚D&R^.:WD
4E:QT)NQP‚47B§F3RWD&9¿.T ÕtÐ8B7B7Ð×MTØ
î‹> 3D&B7DN^:|.
Ò8DgRW:WD…0áç,:WPA.C:M47T+9‚Ћ:MV8D&:)N…Ð8B7Ð8RQDF›>
ïÀ> ÀÐ8R D.‹NWPÏ¹Ð8TQTW47тB7DN^Ð8B7Ð8R ÕtÐ8RMç‚òAN…RWD.C:WD?.NQP‚47B§F,9‚ЂF;D×M47:WP¿.?N…Ð8Ï;VHÐCՀÙò;ӂϛF‚.C:WDF
:QÐRWD ¹DN^:):QP‚D9‚Dg× N^ЋB7Ð8RMÐÕç‚>
» e*_…regnoHm^ejdfOk8stnoejd5nodHejk8` ab\S`bcZnod‹e&yoejujp›¾=\Mk8sb\Zab8\)¾=ej`b bd‹e8\ \ mQyok‹stnor\QyEuabe`b\QfO\S`
abed8e‹\SsMegf/ab8\Zsb\&_&`bmQHab`b\^\jpA_&d‹ab8\)¾=ej`b brj\^`bab\ ?abe`b\QfO\^`+aberj\^`batnomS\^sMegfiab‹\)j`W_&]‹
}~\Qnod‹m^e&yoej`b\^ ‰
L
M
! I
ON
PRQ
.
.
S
T
)U
)U
WV
V
XW
YøTQ:WRS.C47Î8P;:bÕvЋRW×M.R^FHϹ.RS.CB7BEDgB¹ÕvÐ8RQ2ӂBO.:W47Ћ9?ÐCՀ:QP‚47T)N^Ð825ςӂ:^.:W47Ћ94ETMЋт:S.C479‚DF5Ñ;V".TQTWÐCû
N^4O.C:W479‚ÎH.5ÛvB747Î8P;:b× D&47Î8P;:Sß ÏÀRWЂN^D&TQT×M47:WPD.8NQP9‚ЂF;D8>›ëD&9ÀD&RS.C:W479‚Î"NQP‚47BOF;RQD&9¿9‚ЂF;D&T:QP‚D&9
N^ЋRWRQD&TWϹÐ89AF3T):WÐ
óARQ4E9ÀÎ?NQP‚47B§F,ςRWЂN^DgTWTWDgT> b9H:QP‚47TMTW472HςB7DIÕvÐ8RQ2ӂBO.:Q4EЋ9/ò.B7B¹:WP‚DNWPÀ4EBOF;RQD&9
ςRQЂN^D&TWTQD&T.RQD|479AF3D&ÏADg9AF;D&9;:|.C9AF5:WP‚DÏA.CRS.CBEB7D&B747TW2½47T 9A.:QӂRS.CB“>‚J·Ð×+DgÒ8D&Rjò‚:WPÀD|ÏÀRWÐ8ÑÀBEDg2
47T Փ.CRMÕvRQÐ82 TW472HςB7D
Ûv4b> D8> QD&2ÑA.RQRS.CTWTW479‚΋B7VÏA.R^.B7B7D&B ~ß Ñ¹DN&.ÓÀTWD:WP‚D47TQTWӂDÐÕ+F;V;9A.C2H4ON
B7Ð~.‹F5ÑA.BO.9¹N^479‚ÎH2ӂTQ:MÑAD.8FÀF;RWD&TQTWDF­>/UMP‚DςRQÐ8тB7D&2ä4ETZD&Ò8Dg9K25Ð8RWDF;4 "N^ӂB7:):QÐHD ›DNQû
:Q4EҋD&B7VKϹ.RS.CB7BEDgBE4 &D4 Õ)Ћ9‚DH47TBEÐ;Ћ6~479‚Î5ÕvЋR?.áTW479‚Î8B7DTQÐ8B7ӂ:W47Ћ9Ûv479 N^Ћ9;:WRS.CTW::WÐB7Ð~Ћ6;4E9ÀÎ
ÕvЋR).B7B/TQÐ8B7ӂ:Q4EЋ9‚TSßg>‚UMP‚47TM47T|F3ӂD:WÐ5:WP‚D
TWϹDN^ӂBO.:Q47Ò8D9A.:QӂRWDÐCÕ+.jÒ8.47BO.тB7D)Ϲ.RS.CB7BEDgBE47TQ2KØ
× Ð8RQ6"F;Ћ9‚DÐ89áÐ89‚DTQӂт:QRWD&D47T)×M.TW:QDF4 Õ:WP‚DTWЋB7ӂ:W47Ð8947T ÕvЋӂ9AF479¿.9‚Ћ:WP‚DgR)TWÓÀт:WRQD&D8>
b9Ð8R^F;D&R:QÐ*.‹NQP‚47D&Ò8DM΋Ð~ЂF
ÏADgRbÕvЋRW2".C9AN^D8òC4E:=47T=9‚DN^DgTWTS.CRWV5:WÐӂ:W47B74 &D P‚D&ӂRQ4ETQ:W4ON 2HDg:WP‚ЂF;T
:QÐâN^Ћ9;:WRWЋBi.C9AFF;47RWDN^:M:QP‚DTQD.R^NWPæ>
Y
[Z
\
%
:<;:
]
BM^9G_a`cb_aH#`
¿.C9;V?P‚DgӂRW47TW:Q4ON^T).RQD*N…Ð82H25Ð89‚B7VZӂTWDF5479HTQD ‹Ó‚D&9;:W4O.CB›4E25ςB7D&2HDg9~:^.:Q4EÐ9ÀTiÐCÕ/Î8R^.ςPN^Ð8B û
ЋRW479‚Îý7î^ÿW> b:M47TMD.CTWV5:WÐÎ8D&:M΋Ð~ЂF,ÏA.R^.B7B7D&B›TWϹD&DF;ÓÀςT)×M47:WPÏ¹Ð;Ð8R P‚D&ӂRQ4ETQ:W4ON^Tjòx.C9AFҋD&RWV
F;4 "N^ÓÀBE: :WÐ5Î8D&:M΋Ð;Ð3F5ÏA.CRS.CBEB7D&BæTWϹD&DF;ÓÀςT×M4E:QPÎ8Ð;ЂFHPÀD&ӂRW47TQ:W4ON^T>­UMP‚47TM4ETMѹDN&.CӂTWDӂTüû
479‚Î?.
ϹÐ~ЋR+PÀD&ӂRW47TQ:W4ONZ:bV~ÏÀ4§Ng.B7B7V?B7D.‹F;T+:QÐâ.
BO.RQÎ8D&Rjò;2HÐ8RQDMRWD&΋ӂBO.R TWD.CRSNQPTWÏA.‹N^D8>¹ëÐ;Ð3F
P‚DgӂRW47TW:Q4ON^TB7D.8Fá:WЏςRQӂ9‚479‚Î5ÐÕMTWӂт:QRWD&DgTâ.C9AF¿Î‹D&9‚D&R^.:QDTW47Î89‚4 óxNg.9;:Ò8.RW4O.C9AN^D&T479K:QP‚D
TQ4 gD&T)ÐCÕiTWÓÀт:WRQD&D&TÐCՀ.Î847ҋD&99‚ЂF;D8òAN…Ð89;:WRQ4EÑÀӂ:W479‚Î:QÐH.9H47RQRWD&΋ӂBO.RMTWDj.RSNQPTWÏA.‹N^D×M47:WP
ϹÐ8:QD&9;:W4O.B7B7V?TQD&Ò8DgRWDBEÐ;.8F,4E2ѹ.BO.9AN…D&T>
b9Ð8R^F;D&R :WÐ?N…Ð82HϹD&:QDM×M4E:QPP‚47Î8P‚B7VD xDN…:W47Ò8DTWD 8ÓÀD&9;:W4O.B¹TW:QRS.:QD&Î847D&Tjò;2".C9~VTQD ‹Ó‚D&9;û
:Q4§.CB8P‚DgӂRW47TW:Q4ON^T.RWD 479AN^ЋRWϹÐ8RS.C:WDF
479Ð8ÓÀR/ÏA.CRS.B7B7D&B;.B7Î8ЋRW47:WP‚2>WUMPÀD&TWDMP‚DgӂRW47TW:Q4ON^T=4E9¹N^B7ÓAF;D
:QP‚DÕtÐ8B7B7Ð×M4E9ÀÎA؋ςRWD^ûWN^ЋBEЋRW479‚ιòAҋD&RW:QD^0ÁRWD&25ÐÒ8.Bbò;472HϹÐ8TWTQ47т47BE47:bV:WD&TQ:W479‚ιò¹ÕvÐ8R^N^DFá2HÐҋD&Tò
Ò8.CRW4O.тB7DЋRSF;D&RQ479‚ÎAòæÒ8.B7ӂD5Ð8RSF3D&RW479‚ιòi.C9AFŠF;Dg:WDN^:Q47Ð89ÐÕ4E9¹F;D&ϹD&9AF;D&9;:TQӂтÎ8R^.ςPÀT> b9
:QP‚47TMTWDN^:Q47Ð89/òÀ×+DÎ847ҋD|.тRQ4ED…Õ€ÐҋD&RWÒ;47D&×ÐCÕ:WP‚DP‚D&ÓÀRW47TW:Q4§N…T)D&25ςB7ÐV8DF›>
UMP‚DóARQTW:P‚D&ӂRQ47TW:W4ON.C472HT).:MRQDF;ÓAN…4E9ÀÎ":QP‚D
RQDF;ӂ9AFÀ.9AN^Vá4E9á:WP‚DTWD.CRSNQPÁTWϹ.8N^D8ò›.C9AF¿47TZ6~9ÀÐ×M9K.TZςRWD^ûWN^ЋBEЋRW479‚ι>xù·Ð8:Q4§N…D?:QPA.:N^Ð8B û
ЋRW479‚Î8TM.RQDD ‹Ó‚47Ò8.B7D&9;:ӂ9AF3D&R)RQD&9A.25479‚ÎA>UMP¹.:M47Tò‹Î847Ò8Dg9".ÏA.CRW:W4ON^ÓÀB§.CR+TQÓAN&N^DgTWTbÕtӂBN^Ð8B û
ЋRW479‚Î×M47:WPHñHN…Ð8B7Ð8RQT=ÕvÐ8RI:WP‚DZÎ8RS.CςP/ò‹:WP‚DgRWD.RQD|ñ ;N^Ð8B7ЋRW479‚Î8T=×MP‚4ONQP".CRWDZD&TWTQD&9;:W4O.B7B7V?:QP‚D
T^.2HD‹>UMPÀDMTW:S.C:WD^ûbTWϹ.8N^DZTWD.CRSNQP".CT€F3D&TSN^RQ47ÑADF5.ѹÐÒ8DM×M47B7B‹óA9AF.B7B;Ð՛:WP‚D&TQD|N^ЋB7Ð8RW479‚΋T=4E9
F;47TQ:W479AN^:Ϲ.RW:QT+ÐCÕx:QP‚D)TQD.R^NQPH:WRQD&D8ò;×MP‚4ONQP47T+N^B7D.CRWB7V?×M.TQ:WD^ÕtӂBb> ÁDMRWDF3ÓAN^D:WP‚47TRQDF;ӂ93û
F‚.C9AN^V5Ñ~V4OF;Dg9~:Q4 ÕvV;4E9ÀÎ?.BO.RW΋D|N^B74 ‹Ó‚Dۓ.N^Ћ2HςB7D&:QD)TQӂтÎ8R^.ςP¹ß ÐՀñ5ЋR ÕvD&× D&RMÒ8D&RQ:W4ON^D&T
.C9AFN^Ð8B7Ð8RM:QP‚D&TQDÒ8D&RQ:W4ON^D&T.RQт47:WR^.RW47B7V×M47:WP¿F;4 ›D&RWD&9;:N^ЋBEЋRWTj> WF;D.CB7BEV;ò;× DTWP‚ЋӂBOF,óA9AF
:QP‚DMBO.RW΋D&TW:MN^B74 ‹Ó‚D ÕvÐ8R=:QP‚47T+ςÓÀRWϹÐ8TWD‹>~J·Ð×+D&ҋD&Rò;:QPA.:I4E:QTWD&B ՛47T+.9HùZúæû Ћ2HςB7D&:QDMςRWЋÑ;û
B7D&2> b9‚TW:QD.8F­ò‚× D|NQP‚Ð;Ð8TQD|:QÐ?TQD.R^NQPÕvÐ8RM.N^B74 ‹Ó‚DZ×M47:WP Ò8DgRW:W4ON^DgTۓ.
:WRW4O.C9‚Î8B7Dßgò;×MP‚4ONWP
N&.C9HѹDF;Ð89‚DÑ;VH.*Փ.TQ:ò;ϹÐ8B7V;9‚Ð8254§.CB‚.B7Î8ЋRW47:WP‚2>jY)TM.P‚D&ӂRQ4ETQ:W4ONZD^0‚:WD&9ÀTW47Ð89/ò;× DN^Ð8ÓÀB§F
TQD.R^NWPìÕvÐ8R BO.RW΋D&R)N^B74 ‹Ó‚D&TMӂTQ4E9ÀÎH.ÑA.8NQ6;:WR^.8NQ6;4E9ÀÎ?TQD.R^NWPá×M4E:QP‚479".
ó‚0‚DF5:Q4E25D)ѹÐ8ӂ9¹F›>
ÛtUMP‚47TMD^0‚:WD&9‚TQ47Ð89×Ã.CTM9‚Ð8:M4725ςB7D&2D&9;:WDF­> ß
UMP‚DTWDjN^Ð89AF
|P‚DgӂRW47TW:Q4ON)47T :WÐHNQP‚DNQ65:WP‚DÎ8R^.ςP,ÕvÐ8R RWDg2HÐÒ8.ÑÀBEDMҋD&RW:Q4ON^D&T>
YҋD&RW:QD^0ìNg.9HѹD)RQD&2HÐҋDF
ÕvRQÐ82½:WP‚DZÎ8R^.ςP54oÕ/47:P¹.TIÕvD&× D&R+9ÀD&47Î8P;ÑAЋRWT :WPA.C9H:QP‚D):QÐ8:S.CB
9;ӂ2ѹD&R)ÐCÕÃN^ЋBEЋRWTjòATQ479AN^D4E:×M47B7B/PA.jҋD?.N^Ð8B7ЋR|.jÒ8.47BO.ÑÀBED:QÐH47:)RQD&Î~.CRSF;B7D&TQTÐÕ+PÀÐ×'47:WT
9‚Dg4E΋P;ÑAЋRWT+.CRWD)DgÒ8D&9;:WÓ¹.B7B7VâN^ЋB7Ð8RWDjF›>‚LMD&25ÐÒ8DF
Ò8DgRW:W4ON^DgT).RWDN^Ð8B7ЋRWDF.C:+:QP‚D)D&9¹FÐÕ/:QP‚D
N^Ћ2HςÓÀ:S.:Q47Ð89479¿.- 2".C9‚9‚D&Rjò;4“> D8>;:QP‚DóARQTW:ZÒ8D&RQ:WD^0¿RWDg2HÐÒ8DjF×M47B7B›ÑAD:QP‚DBO.TQ:M:WÐ
d
I
e%
f
[
GBMgHhYijhYG_jk3lEk[monRBMGbBMpJqBMrDhsMEi
8t
u
>
%
>
v
w
>
xYyXze{}|cz~yX€e
80
$!
ѹDHN^Ð8B7Ð8RQDF.9AFáRWD&ÏÀB§.‹N^DF›>æUMP‚47T)47T9‚DN…D&TWT^.RWVÁѹDN&.CӂTWD5:WP‚DRQD&2HÐÒ8.CB›ÐÕMÒ8D&RQ:W4ON^D&TN&.9
N&.CӂTWD¿Ð‹:WP‚DgR?ҋD&RW:Q4§N…D&TH:QÐKѹDRWD&25ÐÒ8DF×MP‚4ONQPŠ× D&RQD"9ÀÐ8:RWD&25ÐÒ8.тB7DςRQD&Ò;4EЋӂTWB7V;> ÀÐ8R
D^0A.25ςB7D8ò /47΋ӂRWDî5TWP‚Ð×MT:QPA.::WPÀD"RQD&2HÐÒ8.CBÐÕ)ҋD&RW:QD^0 Ng.9 .CB7BEÐ׽ҋD&RW:QD^0 :WÐ
ѹDHRWDg2HÐÒ8DjFÁÛt:WP‚D9;ӂ2ѹD&RWT9‚D…03:
:WпҋD&RW:Q4§N…D&TâF3D&TW47Î89¹.:WD:QP‚D&47R?.CTWTW47΋9‚DFÁN^ЋBEЋRWT^ß&>æY)T
TWPÀÐ×M9K479:WP‚D
óAÎ8ÓÀRWD8ò›×MPÀD&9Á:WP‚DRWDg2".479‚479‚Î΋RS.CςPK47TTWÓ¹N&N^D&TQTbÕvӂB7B7VÁN^Ð8B7Ð8RQDF›ò¹9‚ЂF;D
×M47B7B›ÑAD.8FÀF;DF:QÐ?:QP‚DÎ8R^.ςP¿.C9AFHN^ЋB7Ð8RWDjFHѹD^ÕvЋRWD9ÀÐ3F3D >›ÛbGЋ:WP¿G.C9AF:QP‚D&9¿Y'.CRWD
Î8Ó¹.RS.C9;:WD&DFì:WÐPA.jҋD?.N^Ð8B7ЋR).jÒ8.47BO.тB7D ÕvЋRM:WP‚D&2 ×MP‚D&9á:WP‚D&V¿.CRWD?.‹F‚F;DF5ÑA.‹NW6:QÐ:WP‚D
Î8R^.ςP¹ß&>
b9.8F‚F34E:Q47Ð89:QÐ|47:QTӂTWD).C:=:WP‚DMѹD&Î8479‚9À4E9ÀÎ|ÐCÕx:QP‚DMTWDj.RSNQP/ò‹:WPÀ4ET=P‚DgӂRW47TW:Q4ONMN&.9H.CBETQÐÑAD
ӂTQDF54E95:WP‚D254§FÀF;B7D+ÐCÕi:WPÀD)TWDj.RSNQP/òÀ×MP‚D&9TWЋ2HDMҋD&RW:Q4§N…D&T)PA.jҋD).B7RWDj.8F;VѹD&D&9KN…Ð8B7Ð8RQDF›ò
479â.ZTQBE47΋P~:QB7V|25ЂF;4 óADFZÕvЋRW2Ø&.)ҋD&RW:QD^0×M4E:QP ӂ9¹N^Ð8B7Ð8RQDF9‚D&47΋P~ѹÐ8RQT.9AF
×M47:WP.):QÐ8:^.B
ÐÕ ½F;4 xDgRWD&9;:N^Ð8B7Ð8RQTӂTQDFáÕvÐ8R47:WTN^Ð8B7Ð8RQDF9‚D&47΋P~ѹÐ8RQT?N&.C9ÁÑADRQD&2HÐҋDF¿4 Ö47T
B7D&TWTZ:WPA.C9Ð8RMD ‹ÓA.CB›:WÐ:WPÀD|:QÐ8:^.B/9;ӂ2ѹD&R ÐÕN^Ð8B7Ð8RQT>
‚
9
Jƒ
…„
„
Rƒ
‡†
ˆ
%
%J†+‰R
3
2
B
3
3
1
2
1
3
2
1
B
2
1
2
B
3
2 A
¹µ ;µ » 8\Mrj\^`bab\ `b\^ce&r_…yx]‹`bemS\^sbs ‰

2
B
A
Š9‹>Œ
1
3
XW
X)ÓÀRW479‚ÎH:QP‚DTWD.CRSNQP/ò›47:)47TZÏAЋTWTW47тB7D
:WP¹.:.ZÒ8D&RQ:WD^0HN^Ð8ÓÀB§F*ÑAD ÕvЋӂ9AF:QPA.:=PA.CT=9‚ÐN^Ð8B7Ð8RQTi.jÒ8.C4EBO.CтB7Di:QÐ4E:jòj4“> D8>g9‚ÐN^Ð8B7ЋR€Ng.9ÑAD
NQP‚Ð8TQD&9H:QPA.:F;Ð;D&TI9‚Ð8:N^Ћ9 A4ON^:×M47:WP.Z9‚D&47Î8P;ѹÐ8Rj> ÁD+DgBE47254E9¹.:WD=:QP‚47TÏAЋTWTQ4EÑÀ4EB747:bV×MP‚47B7D
Î8Dg9‚D&RS.C:W479‚ÎKNQP‚47BOF;RQD&9KTQ:S.C:WD&TÕtÐ8R.5TWD&B7DN^:QDFÁ9ÀÐ3F3D8ò›Ñ;V¿68DgD&ς479‚Ώ:WR^.8NQ6KÐCÕ+:WPÀD9~ÓÀ2ÑAD&R
ÐÕM.jÒ8.47BO.тB7D)N^ЋBEЋRWT·ÕvÐ8RMD.‹NQPKҋD&RW:QD^0/> tÕ^ò‚Ñ;V"N^ЋB7Ð8RW479‚ÎH.Ϲ.RW:Q4ON^ӂBO.RZÒ8D&RQ:WD^0/ò¹Ð89‚D
ÐÕ47:WT
9‚D&47΋P~ѹÐ8RQT+47T RWDF3ÓAN^DF5:WÐ &D&RQÐH.jÒ8.47BO.тB7D+N…Ð8B7Ð8RQTò‹×+DF;Ð?9ÀÐ8: Î8D&9‚DgRS.:QD:WP‚47TTQ:S.:QD8>;UMP‚47T
P‚D&ÓÀRW47TW:Q4§N*4ETM6;9‚Ð×M9.T
>
UMP‚47T54§F3D.ŠN&.C9ѹDKD^0‚:QD&9AF;DF¸ÕtӂRW:QP‚D&Rò·4E9¸:WPA.C:H4 Õâ.ÁҋD&RW:QD^047THRQDF;ÓAN…DF :WÐ Ð89‚D
.jÒ8.47BO.ÑÀBEDN^ЋB7Ð8Rò¹× D6;9‚Ð×ø×MPA.C:*N…Ð8B7Ð8RZ4E:Z×M47BEBæÑADH.CTWTQ4E΋9‚DF›ò›.C9AF¿N&.C9àF;Dg:WD&RQ2H479‚D:WP‚D
D ›DN^:QT?ÐCÕ+:WPA.C:N^Ð8B7Ð8R.TQTW47Î89‚25D&9;:>¹UMP‚D
ZP‚D&ӂRQ47TW:W4ON
47T|ÓÀTWDFá:WпN^Ћ2HςB7D&:QD
.B7B;TW:^.:QDM4E93ÕvÐ8RQ2".:Q47Ð89:WPA.C:N&.9ÑAD)F3DF;ÓAN^DjFÕvRQÐ82øTWÓ¹NWPH.ZTQ4E:QÓA.:Q47Ð89/> P‚Dg9H.MTWDgBEDjN^:WDF
Ò8DgRW:WD…0"47T+N^ЋBEЋRWDF5.9AF:QP‚D|.jÒ8.C47B§.Cт47B74o:bV)ÐCÕi.9‚D&47΋P~ѹÐ8R 47TRWDjF;ÓAN^DF5:QÐÐ89‚D‹ò8:QP‚D|N^ЋB7Ð8R47T
Ž rD[h8`` _‘9_ji‘_>b’“?[B`cb_‘k9lDEk[m4”<hGIHBm4•–hsYB`
MS
u
"—>˜+x™|| —jš —œ›—ž}Ÿ"žze|Xž}—> M¡
%
A¢™y€zX£
˜™¤z
u
.CTWTW47΋9‚DF›> ·Õ€N…Ð8ӂRQTWD8ò¹:WPÀ4ETMN&.C9ì.CB7TWÐN&.ӂTQD.9‚Ћ:WP‚D&RMҋD&RW:QD^0":QÐHF;RWЋÏH:QÐâ.jÒ8.C4EBO.Cт47BE47:bVÐÕ
Ћ9‚D+ЋR &D&RQÐA>UMPÀD ÕvÐ8R^N^DF2HÐҋDP‚D&ÓÀRW47TW:Q4§N 47T2.8F;DIRWDN^ÓÀRWTW47ҋD):WÐPA.C9AF;B7D :WP‚47TTQ4E:QÓA.:Q47Ð89/>
ÀÐ8R
D.8NQPŠTQ:S.C:WD8òæ×+D2ÓÀTW:NQP‚Ð;Ð8TWD5:WP‚D5Ò8.RQ4§.CтB7D
ÛtÒ8D&RQ:WD^0Aß
:WPA.C:?×M47B7B=ÑAD.TWTQ47Î89‚DF .¿N^ЋBEЋR> ZӂR?Ò8.CRW4O.ÑÀBEDÐ8R^F;D&RQ4E9ÀοP‚D&ӂRQ47TW:W4ON5NWPÀÐ~ЋTWD&T
:QP‚DKҋD&RW:QD^0×M47:WP¸:WP‚DÕvDg×+D&TQ:¿N^Ð8B7Ð8RQT¿.jÒ8.47BO.тB7DH:QЊ47:> ;DgBEDjN^:W479‚Î.ÁҋD&RW:QD^0:QÐ N…Ð8B7Ð8R
:QPA.: PA.T 2".C9;V?N^Ð8B7ЋRWTM.jÒ8.47BO.тB7D 2".jVB7D.‹F:WÐӂ9AN…Ð8B7Ð8R^.т47B747:bVÐÕ.25Ð8RWD)N…Ð89‚TQ:WRS.C479‚DF
ҋD&RW:QD^0HBO.:WDgR+479H:QP‚D)TQD.R^NQP/>;UMP‚47T+ЋRSF;DgRW479‚Î4ET D&TQTWD&9;:W4O.CBEB7V:WP‚DT^.2HD).CT+:QP‚D À.:WÓÀRS.:QDF
XZD&΋RWD&D ZR^F;D&RW479‚Î5ÐÕ:WPÀDâý7î…ÿüò;D…0ÀN…D&ς::WPA.C:M×+D
ӂTWD:QP‚47TMÐ8R^F;D&RW479‚Î479:WPÀD?N^Ð89;:QD^0‚:)ÐÕ+.
ÑA.‹NQ6~:QRS.‹NW6;479‚ÎZTW:S.C:WD^ûbTWϹ.8N^DZTWD.CRSNQP/ò479‚TQ:WD.‹FÐÕx.ZÎ8RQD&DF;V
9‚Ð89;ûbÑA.‹NW6;:QRS.8NQ6;479‚Î.B7Î8ЋRW47:WPÀ2K>
UMP‚DÒ8.B7ӂDЋRSF;DgRW479‚ÎHPÀD&ӂRW47TQ:W4ONF;D&:QD&RW254E9ÀD&T)×MP‚4ONQPÁN^Ð8B7Ð8RZTWP‚ЋӂBOFÑ¹DâNQP‚ЋTWD&9ÕvЋR|.
ÏA.CRW:Q4§N…Ó‚BO.RÒ8D&RQ:WD^0ӂ9AF3D&RHN^Ð89ÀTW4OF;D&R^.:W47Ћ9/> ;479AN^D¿:QP‚D¿N^Ð8B7ЋRâ.CTWTW47΋9‚2HD&9;::WÐÁ.Ò8D&RQ:WD^0
ϹÐ8:QD&9;:W4O.B7B7V¿. ›DN^:WT:WPÀDHN^Ð8B7Ð8RQT.jÒ8.47BO.тB7D:WЏ47:WT9ÀD&47Î8P;ÑAЋRWTjò›:WP‚D΋Ð~.CBi47T:WÐNWPÀÐ~ЋTWDH.
N^ЋB7Ð8RMÕtÐ8RM:WPÀD?ҋD&RW:QD^0K:WP¹.:)×M47B7B/RQD&TWÓÀBE:479¿:QP‚D?TQ:S.C:WD×M47:WPá:WP‚DP‚47Î8P‚DgTW:ςRWЋÑA.ÑÀ4EB747:bVÐÕ
N^Ћ9;:S.479‚479‚Ώ.5TWÐ8B7ӂ:Q47Ð89/> ÀÐ8RD^0A.25ςB7D8ò‚479 /47΋ӂRWDï‚ò›.TQTWӂ25D?:QPA.: ò ò/.C9AFí .CRWD
9‚Ћ:âN…Ð8B7Ð8RQDF.9AF ×+D×M47TWP :WÐTWD&B7DN^:.KN…Ð8B7Ð8RÕvЋR > ;Ð825DHNQP‚Ð84ON^D&TÐCÕ*N^ЋB7Ð8R
ÕvÐ8R
Û î8ò &ï.9AF ~ßIRWDF3ÓAN^D:QP‚D9~ÓÀ2ÑAD&RIÐՀ.jÒ8.C47B§.CтB7DÃN…Ð8B7Ð8RQTÕvЋR Ö.9AF5í'.C9AF:QP‚D&RWD…ÕvÐ8RQD
N^Ћ9‚TW:QRS.C4E95:WP‚DZTWЋBEÓÀ:W47Ð89TQÏA.8N^D‹ò‚×MP‚D&RQD.T)NQP‚Ð;ЋTW479‚Î?N^ЋB7Ð8R ZÕvЋR øF;Ð;D&T 9‚Ð8:MN^Ð89ÀTW:WR^.479
:QP‚DH.jÒ8.47BO.тB7DN^ЋBEЋRWTZÕvЋR .C9AFÁí .:.B7Bb> b:|47T?N…BEDj.R:WPA.C:?NQP‚Ð;Ð8TQ4E9ÀÎ HÏÀRWÐÒ;4OF;D&T?.
P‚47΋P‚D&RB74768D&B747P‚Ð;ЂFÐ՛V;47D&BOF;479‚Î.)TQÐ8B7ӂ:Q4EЋ9?:QPA.9:QP‚DMÐ8:QP‚D&RMNQP‚Ð84ON^D&Tj>~ë*D&9‚D&R^.B74 &479‚ÎZÕvRWЋ2
:QP‚47Tò=Ð8ÓÀRÒ8.B7ӂDHЋRSF;DgRW479‚ÎP‚D&ӂRQ4ETQ:W4OND^0‚Ï‚B7ЋRWD&TóARQTW:5:WP‚D¿N^ЋBEЋRW479‚Î:WPA.C:B7D.8F;T:WÐÁ:QP‚D
TQ2".B7B7D&TQ:RWDF3ÓAN^:W47Ћ9¿479H:WPÀD9;ӂ2ÑADgR+ÐCՀ.jÒ8.47BO.ÑÀBED)N…Ð8B7Ð8RQTM:WÐ:WPÀD|9ÀD&47Î8P;ÑAЋRWTj>
[
nAEG_‘E9ijB¥Ek[m¦nAEi‘^9B¨§GIm0BMG_‘k9l
9
©
R
ª
[
%
8
D
"ƒ
ªƒ
}«
M«
0„
[
«
ƒ
.„
©« !
ª„
¬ƒ
Y
­«c!
c3
c5
B
c5
A
Color for A
c2
Neighbors
Affected
Heuristic
Value
Rank
Bit-Vector
Priority
c1
B and C
3
2
10
c2
C
4
1
01
c3
Neither.
5
0
00
c4
B and C
3
3
11
c3
C
c5
Aµ ‚µ›q];;_&atnod‹d8\Qnoj}~ej`)_^r_…n{yE_g}n{yon7atno\^s)¾‹\Sd_Zd8e‹\Mnos mSegyoej`b\S ‰
Š9‹œŒ
®
UMP‚D TWDj.RSNQPTWÏA.‹N^D ÕvЋRiN^ЋBEЋRW479‚Î.MÎ8R^.ςP
ÐCÕ Ò‹D&RW:Q4ON^D&T47T)ϹÐ8:WDg9~:Q4O.B7B7VD^0‚ÏAЋ9‚D&9;:W4O.B=479 =>¹JMÐ× D&Ò8D&Rjò¹4oÕ:QP‚DÐ8RQ47Î8479A.B›Î‹RS.CςP¿47T|.
F;47T^N^Ð89‚9ÀDN^:WDjFÐ89‚D‹òAF;R^.2".C:W4ON RWDjF;ÓAN^:Q4EЋ94E9:QP‚DTWD.CRSNQP¿TWϹ.8N^D47T ÏAЋTWTQ4EÑÀBED‹> ÀÐ8R D^0A.2û
ςB7D8ò;4 Õ× D|9ÀÐ8:W4ON^D
:WPA.C:M:WP‚D΋RS.CςPÎ847Ò8D&9¿N^Ћ9‚TW47TQ:WT)ÐCÕ:b×+ÐF;47TSN^Ћ9‚9‚DN…:WDFN^Ð825ÏAЋ9‚D&9;:WTjò
D.‹NQPH×M47:WP 8ïҋD&RW:Q4§N…D&TòÀ:WP‚DTWDj.RSNQPTWϹ.8N^D47T+D…03ϹÐ89ÀD&9;:W4O.B›Ð‹9‚B7V?479 ‹ï‚> b9H:QP‚47TÃN&.CTWD8ò
Ћ9‚D|N&.C9BEÐ;Ћ6ÕvÐ8RM.TQÐ8B7ӂ:Q4EЋ9H:QÐD.8NQPTWӂÑÀÎ8RS.CςPTWD&Ϲ.RS.C:WD&B7V;> tՀ.TQÐ8B7ӂ:W47Ћ9ÕvÐ8RMD.‹NQP"47T
¯
BMbBHb_‘hk
h°
KQ
Ž k[m3BFKBFk[m3BMk0b©C8^99lGE1‚@[`
)Q
±Q8²
$Q8²
M
#
ÕvЋӂ9AF›òÀ:WP‚D&9á:WP‚D&VN&.9Ñ¹DâN^Ћ2HϹÐ8TQDF54E9;:QÐH.TWÐ8B7ӂ:Q47Ð895ÕvÐ8RM:QP‚D×MP‚ЋB7DÎ8R^.ςP/> tÕ:WP‚D&RQD
47T9‚ÐHTQÐ8B7ӂ:W47Ћ9HÕtÐ8RÐ89‚D
ÐÕ+:QP‚D?TQӂт΋RS.ÏÀP‚Tò›:QP‚D&9:WP‚DgRWD4ET9‚Ð5TWЋBEÓÀ:W47Ð89ÕtÐ8R):QP‚DD&9;:W47RWD
Î8R^.ςPæ>;UMP‚DRWDF;Ó¹N^:W47Ð89479HTQD.R^NQP":Q472HD ÕvЋR+ӂ9ÀTWÓAN&N…D&TWTüÕvӂB=TWD.CRSNQP‚D&T47T 8ÓÀ4E:QD|F;R^.2.:W4ON>
ÀÐ8R HÚÖî ‚ò;:QP‚D:W472HDZÎ8Ð;D&T ÕvRQÐ82 |F3Ð×M9H:WÐ ò3ÕvÐ8R TWЋ2HD|.À>
=ҋD&9×MP‚D&9:WPÀDMÐ8RW47΋4E9¹.B;Î8R^.ςP47T€N…Ð89‚9‚DjN^:WDF­ò8Ћ9‚D)N&.9TQ:W47B7B‚F;D&RW47ҋDMÑAD&9ÀD^óA:WT ÑA.CTWDF
Ð89á:WP‚D?.CÑAÐҋDÐ8тTQD&RWÒ8.C:W47Ð89‚Tj> Ћ9‚TW4OF;D&R.Î8R^.ςP×M47:WPK.C9¿.RW:Q4ON^ӂBO.:Q4EЋ9HϹÐ8479;:)F;D^óA9ÀDF
Ñ;VÁÒ8D&RQ:WD^0 çÀ>=UMPA.:47Tòæ4 Õ|ç¿47TF;D&B7D&:WDjF›ò=:WP‚Dg9Š:WPÀDHÎ8R^.ςP ×+ЋӂBOFÏA.RQ:W47:W47Ћ9Á4E9;:Qп:b×+Ð
479AF;D&ϹD&9AF3D&9;:"TQӂћN^Ð825ÏAЋ9‚D&9;:WTj> b9 :QP‚47TÎ8R^.ςP/ò.1Õv:WDgRH:WPÀD"ҋD&RW:QD^0ç47THN^Ð8B7Ð8RQDF›òI:WP‚D
:b× Ð¿TWӂÑÀÎ8RS.CςP‚TF;Џ479AF;D&DF ÑADjN^Ð825D4E9¹F;D&ϹD&9AF;D&9;:jØN^Ð8B7Ð8RQ479‚Î8T479ÁÐ89‚DP¹.jÒ8D9‚пD xDN…:
Ð89N^Ð8B7ЋRW479‚Î8TI4E9:QP‚DÐ8:QP‚D&R>‹Y)Î;.479/ò‹47:47T+D&9ÀÐ8ӂ΋PH:WÐ*óA9AFH.*TWÐ8B7ӂ:Q47Ð89:WÐD.‹NWP5ÏA.RQ:W47:W47Ћ9
ÐÕ=:WP‚D
Î8RS.CςP".C9AFN^Ð825ÏAЋTWDZ:WP‚D&2ò;Ð8R :WÐςRQÐÒ8D:WP¹.: Ð89‚DÐÕ=:WP‚D
ÏA.RQ:W47:W47Ð89ÀTÃF;Ð;D&TM9ÀÐ8:
PA.jҋD*.TQÐ8B7ӂ:Q4EЋ9/>
YZBE:QP‚Ð8ÓÀÎ8PÁ47::S.C68D&TTQÐ825DD xЋRW::WÐÁF;D&:QDN^:H×MPÀD&:WP‚DgRH.Î8R^.ςPN&.9 ÑADTWÏÀBE47:479;:WÐ
2ӂB7:W47ςB7D479AF;DgÏAD&9¹F;D&9;:HÏA.CRW:Q4E:Q47Ð89‚T5Ûv:QP‚47T:S.6‹D&T ÛQÜ øÞß:Q4E25Dß&òæ47:?47T× Ð8RQ:WP;×MP‚47B7D
:WпN&.CRWRQV¿Ð8ӂ::QP‚47T*NQP‚DjNW6áÐÕv:QD&9/ò›Ñ¹DN&.CӂTWD:QP‚DÑADg9‚D^óA:ÐCÕ+:WPÀD?ϹÐ8:QD&9;:W4O.B=RWDjF;ÓAN^:Q4EЋ9Á479
TWDj.RSNQP¿TQÏA.8N…D47TMTWӂтTQ:S.C9~:Q4O.Bb>
U=ÐKNQP‚DNQ6 ÕvÐ8RTWÓANQPÏA.CRW:W47:Q4EЋ9‚479‚ÎAò­Ð89‚D¿N^Ћ9‚TW4OF;D&RQT:WP‚DTQӂтÎ8R^.ςPÐCÕ):WP‚DÐ8RQ47Î8479A.B
Î8R^.ςP¸:WPA.C:4E9¹N^B7ÓAF;D&T5Ð89‚B7VŠ:QP‚D¿Ó‚9¹N^Ð8B7Ð8RQDFҋD&RW:Q4§N…D&T> UMP‚D¿6‹D&VÐ8тTQD&RWÒ8.C:W47Ð89P‚DgRWD¿47T
:WP¹.:MÐ89¹N^D.9‚ЂF;D4ETMN^ЋBEЋRWDF­ò;4E:QTMD ›DN^:WT.CRWDZÕvӂB7B7V?B7ЂN&.CBE4 &DjF479HϹÐ8:QD&9;:W4O.B7B7VRWDF3ÓAN^479‚Î
:WPÀD".jÒ8.47BO.ÑÀ4EB747:bVHÐCÕ|N^Ð8B7ЋRWT:Qп47:WT9‚D&47Î8P;ѹÐ8RWTj> b:QTâN…Ð89‚9‚DjN^:W47Ð89ÀT?:Qп47:WT9‚Dg4E΋P;ÑAЋRWTN&.9
:WPÀD&9¿Ñ¹D|47΋9‚Ð8RQDF›>
b9:WDgRW2HTæÐÕA.MTQD.R^NQP?TQÏA.8N^D‹ò:QP‚47T/P‚DgӂRW47TW:Q4ON=Î8D&9ÀD&RS.C:WD&T+.C9Y|ù)X·û LÁ:WRQD&D 4E9ÀTW:WDj.8FÐCÕ
:WPÀD+ςÓÀRWD |L :WRQD&D+:QPA.:æ×+ЋӂBOFZRWD&TQӂB7:i×M47:QP‚Ð8ӂ:›:QP‚47T=P‚D&ӂRQ4ETQ:W4ON>jUMP‚DϹ.RS.CB7BEDgB8ςRQÐ3N…D&TWTQ4E9ÀÎ
ÐÕTQÓANQP":QRWD&DgT|ѹDN^Ћ2HD&TM25Ð8RQD|N^Ћ2HςB74ON&.:QDF›ò;.9AF547TMF;47TSN^ӂTQTWDFá479 ;DjN^:W47Ð89 ‚>{þ‚>
1
©
ˆQ
#
´³1Pµµ
³M¶µ
L
9
e%
%
·
%
¸‰
0
©
$
±!
=È WÍ æÇ3ÍQÉÆ iÆZÊ Å
æÆÇ æÇ‚ÍWÉÆ
J).jÒ;479‚ÎςRWDgTWD&9;:WDjF:QP‚DTW:WRQÓAN^:QӂRWDÐÕ:WP‚DK.CB7Î8Ð8RQ47:WP‚2ö.9¹FŠF;D&T^N^RW47ѹDF¸:WP‚DP‚D&ÓÀRW47TW:Q4§N…T
D&25ςB7ÐV8DF›òæ× D"9ÀÐ×ςRWÐÒ;4OF;DF;D&:S.C47BETÐÕ:WP‚D¿.CBE΋Ð8RQ4E:QP‚2 TÏA.CRS.B7B7D&B 472HςB7D&25D&9;:S.:Q47Ð89/>
b9:QP‚47TTWDN^:Q47Ð89/ò × DHó¹RWTW:F;D&T^N^RW47ѹDK:QP‚D¿Ï‚RQÐ8Î8R^.252H4o9ÀοD&9;Ò;4ERQÐ89‚25D&9;:?479×MP‚4ONQP:WP‚D
.B7΋Ð8RW47:QP‚2ö×M.TH4725ςB7D&2HD&9;:QDF›> ÁD":QP‚D&9F3D&TSN^RQ47ÑADÁ:QP‚D¿ÑA.CTW4ONTWDj.RSNQP ςRWЂN^DgTWTò·P‚Ð×
ςRQ4EЋRW47:W4 .C:W47Ð89¿N&.C9¿Ñ¹DӂTWDjF:WЏN^Ð89;:S.C479"TQÏADjN^ӂBO.:Q4EҋD?Ϲ.RS.CB7BEDgBE47TQ2Kò8.C9AFP‚Ð×ø.8F‚.Cς:W47ҋD
Î8R^.479‚TQ4 gDÃN^Ћ9;:WRWЋB‚N&.9ÑAD ӂTQDF:QÐ)ÐҋD&RSN^Ћ2HD:QP‚D ςRWЋтB7D&2øÐՂBO.RQÎ8D΋RS.479‚TQ4 &D+Ò8.CRW4O.9¹N^D8>
æ479A.B7B7V~òÀ×+DF;47TSN…Ó‚TWTP‚Ð×ø× DHF;D.BI×M4E:QPK479AF3D&ÏADg9AF;D&9;:TQӂтÎ8R^.ςPÀT:WPA.C:.RW47TQDHF;ӂRW479‚Î
:WPÀD?N^Ð825ςӂ:^.:W47Ћ9/>
¹
º/
/9»»7*0» 7¼8/
½/
F¾À¿+»*3¾Á*
/
)Â
3u
Ã<;>=
ÄR@9EGr
PA.CRW2 4ET=.9Ð8Ñ8ԅDN^:/ѹ.TWDjF›òj2HD&TQTS.΋D^ûWF;RW47Ò8Dg9/ò^ÏAЋRW:^.тB7DÏA.CRS.CBEB7D&BÏÀRWÐ8΋RS.C2H2H4 9‚Î=TWV;TW:QD&2
:WP¹.: RWӂ9‚T Ð89H.*Ò8.RW47D&:bV
ÐÕ/TWP¹.RWDjF2HDg2HÐ8RQV.9AFF;47TQ:WRW47тÓÀ:WDF,2HD&25Ð8RWV2.8NQP‚479‚D&TMý7î8îQÿW>
PA.CRW2Kòj×MP‚4ONQP4ET IûbÑA.TQDF›òTQӂςϹÐ8RQ:WT:QP‚DM9‚Ð8:Q47Ð89ÐCÕ­. &òj×MP‚4ONQP4ET=:QP‚DMD&9AN&.CςTWÓÀB§.1û
:W47Ћ9ÐÕi.9ЋÑ8Ô^DN^: ×M47:WPÕvÓÀ9AN^:W47Ћ9‚T+ЋÏADgRS.:Q479‚ÎÐ89:QPA.:IÐ8Ñ8Ô^DN…:>;YNQPA.CRWD)47T TW472H47BO.R›:QÐâ.
ςRQÐ3N…D&TWTÐ8R Ð8Ñ8ԅDN^:M479HЋ:WP‚D&RMÏÀRWÐ8΋RS.C2H2H479‚ÎZÏA.R^.8F;47΋2HT>CY NQPA.CRWDN&.9479AN^B7ÓAF3D|ÏÀRW47Ò8.:QD
.9¹FÁςӂÑÀBE4ON
ÕvÓÀ9AN^:W47Ћ9‚T×MP‚4ONQPŠN&.9 ÑAD5479~ҋÐ86‹DFÑ;VKЋÑ8Ô^DN^:QT?Ћ9Á:WP‚D5TS.25DςRWЂN^DgTWTWЋR>
[
€eÅ~yz
PA.CRWD&T)Ng.9¿.B7TWÐ479AN^B7ÓAF;DD&9;:QRWV5Õvӂ9AN…:W47Ð89‚TM×MPÀ4§NQP.RWD479;Ò8Ћ68DF5.TWV;9ANQP‚RQÐ89‚ЋӂTWB7V,ÕvRWЋ2
. B7Ð3Ng.B›Ð8RMRQD&2HЋ:WDÐ8Ñ8ԅDN^:>
PA.CRWD&TMN&.9ѹD|F3V~9¹.2H4ON&.CB7BEVN^RWDj.:WDjF›ò‚T^NWPÀDF;ӂB7DF5.9AFF;47TQ:WRW47тÓÀ:WDF5.8N^RQÐ8TWT ςRQÐ3N…D&Tbû
TQÐ8RWTj>/U=Џς4ONQ6à.525D&TWT^.Î8DÕtÐ8RςRQЂN^D&TWTQ479‚οÕtRWÐ82ä:WP‚DϹÐ;Ð8B ÐÕ).jÒ8.47BO.тB7D25D&TWT^.΋D&TÐ89
.,ςRWЂN^D&TQTWЋRò PA.CRW2TQӂςϹÐ8RW:QTӂTQD&RbûbTWD&B7DN…:S.ÑÀBED‹ò/25D&TWT^.Î8D
TSNQP‚DF;ÓÀBE479‚Î5TW:QRS.:QD&Î847D&Tjò›479;û
N^B7ÓAF34E9ÀÎ
‹- Ö.9AF,ςRW47ЋRW47:W4 &DF5T^NWPÀDF;ӂB7479‚ÎTW:WR^.:QD&Î847D&Tj>AUMPÀD|ÏÀRWÐ8΋RS.C2H2HDgR€Ng.9
TQÏADN…4oÕtV?.9;VÐ89‚D Ð՛.M9;ӂ2ѹD&R/ÐCÕxF;V;9A.254ON/B7Ð;.8FZÑA.BO.C9AN^479‚Î)TQ:WR^.:WDgÎ847D&T:QPA.:æÏAD&RQ2H47:/:QP‚D
F;V;9A.C2H4ONMRQD&B7ЂN&.:Q4EЋ9ÐÕ+.NQPA.RQD?.jÕv:QD&R)47:M47T|N…RWD.C:WDFáтӂ:ZÑAD^ÕtÐ8RWD
4E:MѹD&΋4E9ÀT)D^0‚DN^ÓÀ:W47Ð89/>
;Ћ2HDÐCÕ):WP‚DB7Ð;.8FáÑA.BO.9¹N^479‚ΏTW:WR^.:QD&Î847D&T.B7TWЏ:^.68D:QP‚DςRQ4EЋRW47:W47D&T
ÐÕM2HD&TQTS.΋D&T479;:WÐ
.‹N&N^Ð8ÓÀ9~:j>8UMPÀD&TWDTW:QRS.C:WD&΋4EDgTý ï gÿx9ÀÐ8:Ћ9‚B7V?ÑA.CBO.9AN^DZB7Ð~.8F­òтӂ:M.B7TWÐ
D&9‚TWÓÀRWD:WPA.C:P‚47Î8PÀD&R
ςRQ47Ð8RW47:bV:^.TQ6~T ςRQÐ3N…D&DF5ÑAD…ÕvÐ8RQD)B7Ð×+DgRςRW47ЋRW47:bV:S.CTW6;TM.8N^RQÐ8TWT ςRQÐ3N…D&TWTQÐ8RWTjòA.C9AF2HD&25Ð8RQV
ӂT^.΋D)47TÑA.CB§.C9AN^DF.‹N^RWЋTWTMςRQЂN^D&TWTQÐ8RQT>›Û P‚47B7DMRWD&΋ӂBO.R B7Ð~.8F
ÑA.CB§.C9AN^479‚ÎTQ:WR^.:WDgÎ847D&T :WRWV
:QÐHD&9‚TQӂRWD5:WPA.C:9‚ÐHςRQЂN^D&TWTQÐ8R47T|4OF;B7D×MPÀD&9K:QP‚D&RQDH47T)× Ð8RQ6K.jÒ8.47BO.тB7DZ4E9:WPÀD?TQV~TQ:WD&2ò
ςRQ47Ð8RW47:Q4 gDFB7Ð~.‹FÑA.BO.C9AN^479‚Î.472HT.C:+D&9ÀTWӂRQ4E9ÀÎ9‚ÐςRQÐ3N…D&TWTQÐ8R)× Ð8RQ6;T+Ћ9".B7Ð×ςRW47ЋRW47:bV
:^.TW65×MP‚47B7D*.PÀ4E΋PÏ‚RW47Ð8RQ47:bV:S.TQ64ETM×M.47:Q4E9ÀÎ?TQÐ82HDg×MP‚D&RWD
4E9:QP‚DTWV;TQ:WD&2> ß YZTM×+D
×M4EB7B
TQD&D8ò›Ï‚RQ47Ð8RW47:Q4 gDF¿B7Ð;.8FÑA.CBO.9AN^479‚Î547T*N…RWÓAN^4O.CB:WÐ5TWӂςϹÐ8RQ:Ð8ÓÀR|Ϲ.RS.CB7BEDgBi΋RS.CςPKN^ЋBEЋRW479‚Î
.CBE΋Ð8RQ4E:QP‚2K>
Y|FÀF;47:W47Ð89A.CB ÕvD.C:WӂRQD&T¿TWÓÀςÏAЋRW:QDF479 P¹.RW2 479AN^B7ÓAF;D
H.9AF
479;ÕvЋRW2.:W47Ћ9+TQPA.RQ4E9ÀÎ|.ÑÀTW:WR^.8N^:Q47Ð89‚Tj>YÁÑÀRS.9¹NWP
Ð "N^D+NQPA.CRWDZۓG Mߛ47Ti. QÎ8B7Ð8ÑA.CB ÃNQPA.CRWD
:QPA.:MPA.CT).RQD&ςRQD&TWD&9;:^.:W47ҋD?тR^.9ANQPÐ89D.‹NQP"ÏÀRWЂN^D&TQTWÐ8Rj>›GR^.9ANQP¿Ð "N^DNWP¹.RWDgT|N&.C9"ѹD
ӂTQDF:WЏ472HÏÀBEDg2HD&9;:)F;47TW:QRW47тӂ:QDFÁF‚.C:S.5TW:QRWÓAN^:QӂRWDgTòF;47TW:QRW47тӂ:QDFTWDgRWÒ;4ON^D&Tò.C9AFáTW:S.C:W4ON
B7Ð~.‹FÁÑA.CBO.9AN^479‚ι> b9;ÕvЋRW2".C:W47Ð89ÁTQPA.RQ479‚Ί.тTQ:WR^.8N^:Q4EЋ9‚T".CRWDK.CB7TWÐÁςRQÐÒ~4OF;DjF›ò479AN^B7ÓAF34E9ÀÎ
RQD.8F;Ћ9‚B7VÒ8.RQ4§.CтB7D&Tò;×MRQ47:WD&Ћ9AN^DÒ8.RQ4§.CтB7D&Tò‚.‹N&N^ӂ2ÓÀB§.C:WЋRWTò‹2HЋ9‚Ð8:QÐ89‚4ON Ò8.CRW4O.тB7D&Tjò‚.9AF
F;47TQ:WRW47тÓÀ:WDF5:S.CтB7D&T>
0
‡30AÆ 80
#!
‘u
4
ǚ y~ €e4™}Ȩ€zD€~yXze|
OA
Z
\

9
Ã<;:
?É@‚B¥Êh0m3B
f
Gh0HB``
UMP‚DMϹ.RS.CB7BEDgB‚TW:^.:WDZTWÏA.‹N^D)TQD.R^NQP"47T=D&9AN…Ð3F3DF5ӂTW479‚Î:QP‚D|F3V~9¹.2H4ON&.CB7BEVN^RWDj.:WDjFÐ8Ñ8ԅDN^:WT
ÛbNWP¹.RWDgTSß
ÐÕ PA.CRW2K> .8NQPÁ9‚ЂF;D5ÐÕ):WPÀDHTWDj.RSNQP :WRWDgDKÛb.T?F3D&TSN^RQ47ÑADF 4E9 3DN^:W47Ћ9Hï‚>7îß
N^ЋRWRQD&TWϹÐ89AF3T?:QÐK.¿NQPA.RQD8> .8NQPŠNQPA.RQDH47TÎ847Ò8Dg9Š.HϹ.RW:Q4O.B7B7VìN…Ð8B7Ð8RQDFÁ΋RS.ÏÀPà.‹F;Ð8RQ9‚DF
×M47:WPTWЋ2HD?.‹F‚F;47:W47Ћ9A.B=479;ÕvЋRW2".C:W47Ð895ӂTWD…ÕvӂB=ÕvЋR4E25ςB7D&2HDg9~:Q479‚Î?:QP‚DP‚D&ÓÀRW47TW:Q4§N…T> .8NQP
NQPA.CRWD2ӂTW:·óARWD.9;ӂ2ѹD&R)ÐCÕÃNQP‚47BOF;RWD&9ÁNQPA.RQD&T?N^ЋRWRQD&TWϹÐ89AF34E9ÀÎ":QЏ2ӂB7:W47ςB7D|.CBE:QD&RW9¹.jû
:Q4EҋD&T.jÒ8.47BO.тB7D.::QP‚47T|ϹÐ8479;:479K:QP‚D?TQD.R^NQPŠ:WRQD&D8>æUMP‚47TTWDN^:Q47Ð89ŠF;D&T^N^RW47ѹD&T:WP‚DHF‚.C:S.
TQ:WRWÓ¹N^:WӂRQD&TӂTWDjF¿.9AF5:QP‚DςRWЂN^DF3ӂRWD
ÕvÐ8B7B7Ð× DFÑ;VH:WPÀ4ET)NQPA.CRWD8>
P‚Dg9à.59‚ЂF;D47T*N…RWD.C:WDF›òæ47:)RQDN^D&47Ò8DgTâ.52HDgTWTS.CÎ8DÕtRWÐ82ä47:WTÏA.RQD&9;:N^Ð89;:S.C479‚479‚Î".
TQ:S.:QD8òæ×MP‚4ONWPÁRQD&ςRQD&TWD&9;:QTH.ÏA.RQ:W4O.B N^Ð8B7Ð8RQ479‚ΏÐÕM:WP‚D΋RS.ÏÀP/>/UMPÀDTW:S.C:WD54E9¹N^B7ÓAF;D&T:QP‚D
ÕvЋB7BEÐ×M479‚ÎZóADgB§F3TØ
.C9ì.CRWR^.jV ;ý ÿ€N^Ћ9;:S.479‚479‚ÎN^Ð8B7Ð8RM479;ÕtÐ8RW2.:Q4EЋ9ÕtÐ8RMD.‹NWPÒ‹D&RW:QD^0
:QP‚D9;ӂ2ѹD&R+ÐCÕiҋD&RW:Q4§N…D&T)9‚Ћ:MV8D&:)N…Ð8B7Ð8RQDF
:QP‚D9;ӂ2ѹD&R+ÐCÕiҋD&RW:Q4§N…D&T):QPA.:MPA.jҋDÑAD&Dg9¿RWD&25ÐÒ8DF
.C9ì.CRWR^.jVHN^Ð89;:S.C479‚479‚Î?:QP‚DRQD&2HÐҋDFҋD&RW:Q4§N…D&T):QP‚D&2HTQD&B7Ò8D&TjòA.C9AF
:QP‚D?F;D&ÏÀ:WPÐÕ:WPÀD|9ÀÐ3F3D|479:WPÀD|TQD.R^NQP¿:WRQD&D8>
UMP‚DgRWD.RQD*.CB7TWÐ
óAD&BOF;TMϹD&RW:^.479‚479‚Î:WÐPA.C9AF;B7479‚Î479AF;D&ϹD&9AF3D&9;:)TWÓÀтÎ8R^.ςP‚Tjò‚Ñ‚ÓÀ:+× D×M4EB7B
F;D…ÕvD&R)F;47TSN…Ó‚TWTQ4E9ÀÎH:WPÀD&TWDó¹D&BOF;TMӂ9;:W47B ;DN…:W47Ð89 ‚>{þ‚>
R
3L
“
9L
9L
u
« ÌÍ>ÌÎ
Ë
Ë
Ë
Ë
Ë
0
±!
;ý §ÿ|479AF34§Ng.:WDgTH:WPÀDKN^Ð8B7ЋRÐÕ:WP‚D O:QPÒ8D&RQ:WD^0/> tÕ:WP‚DáÒ8D&RQ:WD^047TH9‚Ћ:V8D&:N^Ð8B û
Ð8RQDF›ò¹:WPÀ4ETZÒ8.B7ӂD47T)9‚DgÎ~.:Q47Ò8D8>ÀUiÐH.CTWTQ4ETQ:)479¿:QP‚DÒ8.RQ4O.тB7DÐ8R^F;D&RW479‚Î5P‚D&ӂRQ47TW:W4ONò ;ý §ÿ
P‚ЋB§F3T î 3Û ›å
;ç
jß
ÕvЋRâ.C9ŠÓ‚9AN…Ð8B7Ð8RQDFÁҋD&RW:QD^0 Q>=U=ÐKTQÏADN…4oÕtV
:WPÀD?ҋD&RW:Q4§N…D&T:WPA.C:)TWPÀÐ8ӂBOF59‚Ð8:ZÑADN^Ð8B7Ð8RQDFÛtD8> ÎA>‚ѹDN&.CӂTWD:WPÀD&V¿PA.jҋD|ѹD&D&9:WDg2HϹÐ8RS.CRbû
47B7VRWD&25ÐÒ8DFâÕvRWЋ2:WP‚D
Î8RS.CςP".CTMD^0‚Ï‚BO.479‚DF5479 3DN^:W47Ћ9"ï‚>{ï‹ß&ò ;ý §ÿ/P‚Ð8BOF;TM.TWϹDN^4O.CB
ϹÐ8TW47:Q4EҋDÒ8.B7ӂD)΋RWD.C:WD&RZ:WPA.C9¿ñ›>
ù·Ð8:W4ON^D :WP¹.:=:WP‚D Î8R^.ςP47:WTQD&B ÕA47Ti9ÀÐ8:=ÏA.TQTWDF
479?:QP‚47T=2HD&TQTS.΋D8>jUMP‚D Î8RS.CςP47T.ZB§.CRW΋D
TW:QRWÓAN…:WӂRQD8>)YZB7TWÐAò .BO.RW΋D¿9;ӂ2ѹD&RÐÕ:WRQD&D9‚ЂF;D&T¿ÛbNQPA.RQD&TSߏ.RQDK:bV;ς4ON&.CB7BEVŠ.CTWTQ4E΋9‚DF
:WÐD.‹NWP ςRWЂN^DgTWTWЋR>=UMP‚DgRWD^ÕvЋRWD8òIÏA.TQTW479‚ο:QP‚DH΋RS.CςPÁ479Š.2HD&TQTS.CÎ8D:WÐÁNQPA.RQD&T×+ЋӂBOF
N^Ћ9‚TWӂ25DMD^0AN^D&TQTW47Ò8D.2HЋӂ9;:WTæÐ՛:W472HD+.C9AF
2HD&25Ð8RWV;> b9‚TQ:WD.‹F›ò8× DMӂ:Q4EB74 &D :WP‚D
.ÑÀTW:WR^.8N^:Q47Ð89HÐCÕ PA.RQ2Kò×MPÀ4§NQP.B7B7Ð×MTiTQPA.RQ479‚Î?ÐCÕ/479;ÕvÐ8RQ2".C:W47Ð89:WP¹.: 4ET Ð8ÑÀ:S.479‚DjFÐ89‚B7V
.jÕt:WD&R:QP‚DÏ‚RWЋÎ8RS.C2öѹD&Î8479‚TD^0‚DN…Ó‚:W47Ð89 .9AF ×MP‚4ONWPF;Ð;D&TH9ÀÐ8:NWP¹.9‚΋D"TQӂтTQD ‹Ó‚D&9;:WB7V;>
ùMЋ:WD:QPA.::WPÀDÎ8RS.CςPÁF‚.:^.HTQ:WRQÓAN^:WÓÀRWD47T|47252ӂ:S.CтBoDÐ89¹N^D479‚47:W4O.B74 &DF›ò¹.9AFá:WP¹.:?.CBEB
ӂϛF‚.:QD&T.RWD52".‹F;D479Á:WP‚DTQ:S.C:WDHRQD&ςRQD&TWD&9;:^.:W47Ћ9 F;47TSN…Ó‚TWTQDF.ѹÐÒ8D8>/GIV2".6;479‚Î5:WP‚D
Î8R^.ςP.RWDj.8F;Ћ9‚B7VÒ8.RW4O.CтB7D8ò8.B7BANQPA.CRWD&T)Ng.9HRQD^ÕvD&RQD&9AN^D
:WP‚DZÎ8RS.CςP×M47:WP‚Ћӂ: 9‚D&DF;479‚Î
:WÐ
TWDg9AFÐ8RMRQDN^D&47ҋD47:M4E9.2HD&TQTS.CÎ8D8>
UMP‚D2.479ÁÐ8Ñ8Ô^DjN^:HЋ9ŠÏ‚RQÐ3N…D&TWTQÐ8R 479‚47:W4O.:QD&T?:QP‚D¿TQD.R^NWPæ>
æ47RWTW:jò‚:QP‚D)479‚Ï‚ÓÀ:óAB7DۓN…Ð89;:S.C4E9À4E9ÀÎ:WP‚D΋RS.ÏÀPH479;ÕvЋRW2".C:W47Ð89.9AF,:WP‚D9;ӂ2ѹD&R+ÐCÕiN^Ð8B7ЋRWT
:WÐ:WRQV‚ß+.C9AF:QP‚DN^Ð89;ó¹Î8ӂR^.:W47Ћ9óAB7DۓN…Ð89;:S.C4E9À4E9ÀÎ:WP‚DP‚DgӂRW47TW:Q4ON^TM:WÐ?.CςςB7VH.9¹F.Ò8.CBEÓÀD
ÕvЋRi:QP‚DMÎ8R^.479‚TQ4 gDM:WP‚RQD&TWP‚ЋBOF‚ß.RQD+RQD.8F.C9AF
ӂTWDF,:WÐ479‚47:W4O.B74 &D:QP‚D RWD.‹F;Ð89‚B7VÒ8.CRW4O.ÑÀBEDgT>
UMP‚D&9æò;ςRWD&ÏÀRWЂN^D&TQTW479‚ÎÐ՛:WPÀD)Î8R^.ςP47TϹD&RüÕvÐ8RQ2HDF›ò‹N^Ð89‚TQ47TW:W479‚Î
ÐÕ/.ςRWD…ûüN^ЋB7Ð8RW479‚Î
TW:S.CÎ8D
ÕvЋBEB7Ð× DFÑ;V.Ò8D&RQ:WD^0¿RWDg2HÐÒ8.B¹TW:^.΋D8> ÀÐ8RMD.‹NQP¿Ò8D&RQ:WD^0/òÀ:WP‚DҋD&RW:QD^0¿RWD&25ÐÒ8.B¹RWЋӂ:W479‚D
NQP‚DNQ6;T:WP‚D?N…Ð8B7Ð8RM479;ÕvЋRW2.:W47Ћ9â.CRWRS.jV;> tÕ:WP‚D
Ò8D&RQ:WD^0¿47TMӂ9AN^ЋB7Ð8RWDjFH:QP‚D&9¿:QPA.:MҋD&RW:QD^0 T
ӂ9AN…Ð8B7Ð8RQDF¿9ÀD&47Î8P;ÑAЋRWT.RWDN^Ћӂ9;:WDF Ûv9‚Ћ:)479AN^B7ÓAF34E9ÀÎ".9;V59‚D&47Î8P;ѹÐ8RWT:QPA.:Z×+D&RQD?ÏÀRWD&Ò;4 û
Ð8ÓÀTWB7VKRQD&2HÐҋDF‚ßg> tÕM:WPÀD"N^Ћӂ9;:47T|B7D&TQT?:QPA.9:WPÀD9~ÓÀ2ÑAD&RñÐCÕÃϹÐ8TQTW47тB7DHN^Ð8B7ЋRWTò­:WP‚47T
Ò8DgRW:WD…0Š4ET.‹F‚F;DF:Qп:WP‚DRQD&2HÐҋDFáBE47TQ:>›GDjN&.ӂTQD:WP‚47T?.‹N^:W47Ð89RWDjF;ÓAN^D&T:QP‚DHN^Ћӂ9;:ÕvÐ8R
D.‹NWPÁÐCÕ+:WPÀ4ETҋD&RW:QD^0 T9‚Dg4E΋P;ÑAЋRWTò­D.8NQPÒ8D&RQ:WD^0K47TRWD…û“D^0A.C2H479‚DF:QЏTWD&D4 Õ47:*Ng.99‚Ð×
ѹD|RQD&2HÐҋDF›>‹UMP‚47T+ҋD&RW:QD^0;û“RQD&2HÐÒ8.CBATQ:S.CÎ8D47T+RQD&ÏADj.:WDjFÓ‚9;:W47B¹9‚ÐÕtӂRW:QP‚D&RMRWDg2HÐÒ8.B7T+.CRWD
ϹÐ8TWTQ47тB7D8>
Y·Õv:WD&RMÏÀRWD^ûbςRWЂN^DgTWTW479‚ιò¹:WP‚DZóARQTW:MTW:^.:QD|47T 479‚47:W4O.B74 &DF:QÐH.ÏA.CRW:Q4§.CB7BEVN^ЋBEЋRWDF,Î8R^.ςP
.9¹FŠ.¿NQPA.CRWD47TóARWDjFŠ:QпѹD&Î8479Š47:QT?D&Ò8.CB7ÓA.:Q4EЋ9/>›YZT?D.‹NQPŠTW:^.:QD"47TDgÒ8.B7ÓA.:QDF›òæ2".C9~V
9‚D&×TQ:S.C:WD&T2".jVѹDKN^RWDj.:WDjF›>MUMP‚47TςRQÐ3N…D&TWTKN…Ð89;:W479;ӂD&T5ӂ9;:W47B).TWЋBEÓÀ:W47Ð8947TÕvÐ8ÓÀ9AF›ò
Ð8R9‚ÐTQ:S.C:WD&TRQD&2".C479/>;UMP‚DB§.C:W:QD&R|N^Ћ9AF;47:W47Ћ9¿47T|F;D&:QDN^:QDFÑ;Vì. ‹Ó‚47D&TSN^Dg9AN^DHF;D&:QDN^:Q4EЋ9
.B7΋Ð8RW47:QP‚2ςRQÐÒ~4OF;DjFÑ;V PA.CRW2ý{ï8ïgÿW>
¸P‚D&9K.NQPA.CRWDѹD&Î8479‚TZ47:WT)D…03DjN^ӂ:W47Ћ9¿×M47:WPK.΋4EҋD&9TW:^.:WD‹ò
47:)N&.RQRW47D&TZÐ8ӂ:M:QP‚DZÕvÐ8B7B7Ð×M479‚ÎTW:WDgςTØ
î‹> ·TWD:WP‚DÒ8.RQ4O.тB7DÐ8R^F;D&RW479‚Î5P‚D&ӂRQ47TW:W4ON
:WÐTQD&B7DN^:?.,Ò8D&RQ:WD^0K:QÐ"N^ЋB7Ð8R> 47:WP:WPÀD?479;û
ÕtÐ8RW2.:Q4EЋ9Á2".C4E9;:^.479‚DF479:WP‚DN^Ð8B7Ð8RH.CRWR^.jV~ò=:QP‚47T"N&.C9ÑADF;Ð89‚DD "N…4EDg9~:QB7V~> ÁD
TQ472HςB7VTWD&B7DN…:K:QP‚DŠÒ‹D&RW:QD^0 5×M47:WP :WPÀDŠTW2.B7B7D&TW:59;ӂ2ÑADgR¿ÐÕH.jÒ8.47BO.тB7DKN…Ð8B7Ð8RQTØ
è ;ý §ÿSè è ;ý jÿSèCÕvÐ8RM.B7B ‚ò‚×M47:WP ;ý ÿ À>
ïÀ> WF3D&9;:W4 ÕvV:WP‚DMϹÐ8TQTW47тB7D)N^Ð8B7ЋRWT=ÕvЋRÒ8DgRW:WD…0 W>UMPÀ4ETI4ET F;Ð89‚DMÑ;V4OF;D&9;:W4 ÕvV;479‚Î T9ÀD&47Î8P;û
ѹÐ8RQTӂTQ4E9ÀÎH:WPÀDTW:S.C:W4ONÎ8R^.ςP479;ÕvЋRW2".C:W47Ð89.9AFá:WPÀD&9àNQP‚DjNW6;479‚οDj.8NQPK9ÀD&47Î8P;ÑAЋR T
N…Ð8B7Ð8RMTQ:S.:QӂTM479:WP‚DÎ847ҋD&9TW:S.C:WD8>
« Ì͜ÌÎ
Ï
¥Ï
O
8« Ì͜ÌÎ
Ð
Ñ
aQ
YÒÓ ÔÎ¥ÌÕ¨³ I³MÏj͜³FÓcÍ>Ô« ÌÍ>ÌÎÖ
Ï
…Ï
$
« ÌÍ>ÌÎ Ï
"yz~I£I™ ›Ÿ
‚
Ž k9_‘b_‘Eb_jk9lÇb@9B¦C8BMEGIH@
M
0Â
0Â
$
?A@9BDÊh0m3B)רijlYhYG_jb@9r
u
.†
1u
Ku
ÙÏ
« Ì͜ÌÎ
¬
Ï
Ú
« ÌÍ>ÌÎ
Û
YÛ
±« ÌÍ>ÌÎ
$Ï
Û 9ÚJ
"ÏÂ
Â
‚> QR D.:QDK.¿9ÀD&× TQ:S.C:WD5ÕvÐ8RD.‹NWPϹÐ8TQTW47тB7D¿N^Ð8B7Ð8Rjòi.C9AFN^Ð8Ï;VÁ:QP‚DÎ847Ò8D&9 TW:^.:WD479;:WÐ
D.‹NQP/>;Y)B7TWйòTWDg: ;ý 7ÿ›:WÐ.F;4 xDgRWD&9;: ÕvD.CTW47тB7D)N^ЋBEЋR479D.8NQP59‚D&×TQ:S.:QD8> MϛF‚.C:WD
;ý jÿ;ÕvÐ8R.CBEB‹Ó‚9AN^ЋB7Ð8RWDjF9‚Dg4E΋P;ÑAЋRWT )ÐCÕ ¹:WÐZRWD ¹DN^:+.C9~VNQPA.C9‚Î8D&T=479:QP‚D+9;ӂ2ѹD&R
ÐCՀN^ЋBEЋRWT).jÒ8.C4EBO.CтB7DM:WÐ:WPÀD&2K>
A> M.CRWRWVáÐ8ӂ:ZÕvЋRSN^DF25ÐÒ8D&T.9AFá472HϹÐ8TQTW47т47B74E:bV:QD&TW:Q479‚ΏÐ89D.8NQPŠNQP‚47BOFTW:^.:WDTQD&ÏA.1û
R^.:WDgBEV;>‚UMPÀD?NQP‚47B§FìTW:S.C:WD&TTQP‚Ð×M9¿:WÐѹDӂ9AN^ЋBEЋRS.CтB7D*.CRWDF;47TSN&.CRSF;DjF›>¹Y)B7TWйò‚4 Õ+.9;V
NQP‚47BOF5TW:S.C:WDRWDgςRWD&TQD&9;:WT?.*ÕvӂB7B7VHN^ЋBEЋRWDF5΋RS.ÏÀP/ò;:WP‚D
TWÐ8B7ӂ:Q47Ð89H47TMRQD&ÏAЋRW:QDF›>
þ‚> tÕ):QP‚DHTQD.R^NWP 47T9‚Ð8:N^Ð825ςB7D&:WDF­ò/R^.9‚6:WP‚D5ӂ9AF;47T^N&.R^F;DFŠNQP‚47BOF;RQD&9ÁTW:^.:WDgTӂTW479‚Î
:QP‚DÒ8.B7ӂDHЋRSF;DgRW479‚ÎP‚D&ӂRQ4ETQ:W4ON> ‚ЋR?D.‹NQP NQP‚47BOFÁTW:^.:QD8ò47:WTP‚D&ÓÀRW47TW:Q4§N5Ò8.CBEÓÀD 47T
N^Ћ2HςÓÀ:WDF.T
Ú è ;ý ÿSèCÕvЋRÃ.CB7B ?TWÓANQP¿:QPA.:Û WÝ 8ßWé^Þ½.9AF ;ý jÿ
Ût4“> D8> 47T:QP‚D)TQӂ2ÐCÕiN^Ð8B7Ð8RQTÃ.jÒ8.C47B§.CтB7D:WÐD.‹NWP59‚D&47Î8P;ѹÐ8RÐCÕ tß&>‹UMP‚D|NQP‚47BOF;RQD&9".CRWD
R^.9‚6‹DF479?F3DN^RWDj.TW479‚Î
Ð8RSF3D&R=ÐÕ Áò.CT/P‚47Î8PÀD&R ½RWD&ÏÀRWD&TQD&9;:WTMP‚47Î8PÀD&R/B74768D&B747P‚Ð;ЂFZÐÕx.
TQÐ8B7ӂ:W47Ћ9?ѹD&479‚ÎÕvЋӂ9AF
479?:QP‚DMTWӂÑÀ:WRWDgD*.CTWTQÐ3N…4§.C:WDF×M47:QP:WPA.C:€NQP‚47BOF5ÛvTQD&D æ47Î8ÓÀRWD)ï8ßg>
‚> æ47RWD.HNQPA.CRWD
ÕvÐ8RZD.8NQPÁNWPÀ4EBOF59‚ЂF;D8ò¹×M47:WP.ςRQ4EЋRW47:bV¿.TQTW47Î89‚DjFÓ‚TW479‚Î5:WP‚DTSNQP‚Dg2HD
F;DgTSN^RQ4EѹDFáÑADgBEÐ×>
!
©
ˆ« ÌÍ>ÌÎ Ï
« Ì͜ÌÎ
%
Û
†
8Û
Ï
S
©
O
O
Ü
¨Ý
« ÌÍ>ÌÎ
Û
$Ü
YÛ
}Ï vÛ
±« ÌÍ>ÌÎ
MÜ
Û 0Ú¨
ÞÏ
Ü
[Ü
R
©
Ã<;Ã
C8[BH^‚i‘Eb_jsYB
f
f
EGEi‘ijBMi‘_a`erßEk[m
G_jhYG_‘b_>à#Eb_jhYk
UMP‚DTQD.R^NWPáςRWЂN^D&TQT.T)F;D^ó¹9‚DFTQÐՓ.RMB7D.‹F;TM:WÐ
> tÕ× D)ó¹RWD?.
NQPA.CRWDÕvЋRMD.8NQP¿ÐCÕ:b×+ÐTQӂт:WRQD&D&TÐCÕ+.9‚ЂF;DÛv×MPÀ4§NQPK.CRWDD…03DjN^ӂ:WDjF¿479ÏA.R^.B7B7D&B/Ñ;V5:b×+Ð
ςRQЂN^D&TWTQÐ8RQTSß&ò;:QP‚DM× Ð8RW6F;Ð89‚D Ñ;V?Ћ9‚D ςRWЂN^D&TQTWЋR+47T×M.TQ:WDF
×MP‚D&9:QP‚DMTWЋBEÓÀ:W47Ð8947T/ÕtÐ8ӂ9AF
479:QP‚D+Ћ:WP‚DgRiTQӂт:QRWD&D8>‹UMP‚47T=TWϹDN^ӂBO.C:W47Ò8D 9A.:QӂRWD ÐÕ¹ÏA.R^.B7B7D&B74ETQ2B7D.‹F;T=:WÐZ:b×+ÐςRQÐ8тB7D&25T
ÕvЋR=ÏA.R^.B7B7D&B;ÏAD&RüÕvÐ8RQ2".C9AN^D8> æ47RWTQ:ò‹:WP‚DMTQÏADgDF;ӂςT).CRWDM479AN^Ћ9‚TW47TQ:WD&9;:=ÕvRQÐ82ÖRWӂ9:QÐ|RQӂ9/ò8.CT
:QP‚D9~ÓÀ2ÑAD&R ÐÕ=9‚ЂF;D&TZD&Ò8.B7ÓA.C:WDF,Ò8.RW47D&T)F3D&ÏADg9AF;479‚ÎÐ89:QP‚DÐ8RSF3D&R)479H×MPÀ4§NQP:WPÀD&V".CRWD
ςRQЂN^D&TWTQDF›> ;DN^Ћ9AF›ò‹:WP‚DZTWϹD&DF;ӂÏÀT)F;Ð9‚Ћ:479AN^RWDj.TWDZ2HЋ9‚Ð8:QÐ89‚4ON&.CBEB7VZ×M4E:QP:WP‚DM9;ӂ2ѹD&R
ÐCÕ/ςRWЂN^D&TQTWЋRWT>¹YF‚F;479‚Î.ςRWЂN^DgTWTWЋR)2.jVTWЋ2HD&:Q4E25D&TB7D.‹F:WÐ.TQBEÐ×)F3Ð×M94oÕ/:QP‚D9‚D&×
ςRQЂN^D&TWTQÐ8RD&9AF3T)ӂϿTQD.R^NQP‚479‚Î".
ÕvÓÀ:W47B7D)TWÓÀт:WRQD&Dâ.C9AF¿N^RQD.:Q479‚Î2HЋRWDӂTWDgBEDgTWT×+ЋRW6,ÕvÐ8R
Ћ:WP‚D&RςRQЂN^D&TWTQÐ8RQT> )ÓÀR|ЋÑ8Ô^DN^:Q47Ò8D:WP‚D&947T:WÐHЋт:S.C479KN^Ð89ÀTW47TW:QD&9;:*.C9AFá2HÐ89ÀÐ8:WЋ9‚4ON&.B7B7V
479AN^RQD.TQ479‚ÎTWϹD&DF;ÓÀςT>
UMP‚47TςRQÐ8тB7D&2½×M.TM.8F‚F3RWD&TQTWDF5Ñ;V?ЋӂRD.CRWB747D&R ×+ЋRW6ýEîjï;ò~ï ‚ò¹î gÿ›479:WP‚DN^Ð89;:WD…03: ÐÕ
Ћ:WP‚D&R TWDj.RSNQP5ςRWЋтB7D&2HTj>UMP‚D)479;:WÓÀ4E:Q47Ò8D 4§F3D.ѹD&P‚479AF:QP‚47T+T^NQP‚D&2HDM47T :WPA.C:4 Õi.ÏA.CRS.B7B7D&B
.CBE΋Ð8RQ4E:QP‚2ö.ςÏÀRWÐj0‚472".:QD&T:WP‚D¿TQD ‹Ó‚D&9AN…DK479×MP‚4ONQP 9ÀÐ3F3D&THÐCÕ|:WPÀD¿TWD.CRSNQP:QRWD&D×+DgRWD
D&Ò8.CB7ÓA.:QDFÁÑ;VÁ:WPÀD"TQD ‹Ó‚D&9;:W4O.CB|.B7΋Ð8RW47:QP‚2Kò¹:WPÀD"TQÏADjN^ӂBO.:Q4EҋDBEЋTWT×M47B7B+ѹD2H479‚4724 &DF
.C9AFN^Ð89‚TQ47TW:WDg9~:.9AF525Ð89‚Ћ:WÐ89À4§Ng.B7B7V479AN^RWDj.TW479‚Î5TWϹD&DF;ÓÀςTN&.9¿Ñ¹DÐ8т:^.479‚DF­>‚U=Ð?:QP‚47T
D&9¹F›ò/:QP‚DH4OF;Dj.ÐÕMт47:bûbÒ8DN…:WÐ8RςRQ4EЋRW47:W47D&T
×Ã.CT?F;D&ҋD&B7Ð8ϹDF ‹> .‹NQPÁ9‚ЂF;DH479:WP‚D5:WRWDgD"47T
.CTWTW47΋9‚DFŠ.áςRQ4EЋRW47:bV×MP‚4ONWP 47Tâ.áт47:bûbÒ8DN…:WÐ8RÐCÕ|.9.RWÑÀ4E:QRS.CRWVÁB7D&9‚΋:WP/>ú=RQ47Ð8RW47:Q4EDgTâ.CRWD
N^Ћ2HÏA.CRWDF,×M47:WPK.B7D^0‚4ON^Ð8΋RS.CςP‚4ON
ۓF;4ON^:Q4EЋ9A.RQV‚ß Ð8RSF3D&RW479‚Î×M47:WPTQ2".B7B7D&R B7D^0‚4§N…Ð8Î8R^.ςPÀ4§N
Ò8.CBEÓÀD&T479AF;4ON&.C:W479‚ÎP‚47΋P‚D&R ςRW47Ð8RQ47:W47D&T>;UMPÀD)ςRQ4EЋRW47:bVÐÕ/:QP‚DRWÐ;Ð8: 9‚ЂF;DZ4ETM.95D&2HÏÀ:bV?т47:
ҋDN^:WЋR>;ë47Ò8D&9:QP‚D)ÏÀRW47Ð8RQ4E:bV
ÐÕi.ÏA.CRWD&9;: 9‚ЂF;D8ò‹:WP‚DZςRW47ЋRW47:bVÐÕ/Dj.8NQP"NQP‚47BOF47TÐ8т:^.479‚DF
Ñ;VŠ.ÏÀÏAD&9¹F;479‚ÎÁт47:WTN^Ð8RQRWD&TQÏAЋ9AF;479‚Î :WÐ4E:QTRS.C9‚6Á:WÐÁ:QP‚DÏA.RQD&9;: TςRW47ЋRW47:bV~> tÕ|:QP‚D&RQD
.CRWD NQP‚47BOF;RWDg9/ò;:WP‚D
9~ÓÀ2ÑAD&R ÐÕт47:QT).ςϹD&9AF;DjF47T 7B7Ð8Î ~>‚UMP‚D.ςϹD&9AF;DjFÑ‚47:WT).CRWD
:QP‚DHт479A.CRWVRWD&ÏÀRWD&TQD&9;:S.:Q47Ð89ÐÕ):QP‚D"NQP‚47BOF TRS.C9‚6›> æ47Î8ÓÀRWD á4EB7B7ӂTQ:WRS.C:WD&T
:WP‚47TTSNQP‚D&25D8>
» nos›sbmW‹\^c|\æm&_&dZ}~\æm^ed‹stno8\^`b\^*_gdMej]8atnocZn &_&atnoejdegf3_=sbmQ8\^c\i]‹`be];ejsb\^)\&_&`ty{no\^`æ}uÐ3n~_&d‹
ˆ _&ZfOej`›mSejd8sbab`W_…nodnod‹sb]~\^m^kyE_gatnorj\M]~_g`W_^y{yo\Qy{nosWc nod}‹`W_&d‹mW‘b_&d‹‘v};ejk8d8m^ec]‹k8aW_gatnoed‹s ƒ^‡
±|}xzX€cáM›~âža—>¤zãxÅ~yX~›œ›zc›—| ˜
I
I
Y
9
#
!
ä ‚L
Â
"Ò
å
ç
8Â
‚
3
¬Ò‡æ
ˆ!
è
Aé
ê
UMP‚47TTSNQP‚D&25D?P¹.T.9472HϹÐ8RW:^.9;:MςRQÐ8ϹD&RW:bVKNg.B7B7DF¿:QP‚DςRWD^óÀ0àςRQÐ8ϹD&RW:bV›Ø/F3D&TWς47:QD:WP‚D
Փ.‹N^::WPA.C:):WPÀD?9;ӂ2ѹD&RMÐÕ Ñ‚47:WT|.CςϹD&9AF;DFÒ8.CRW47D&T·ÕvRWЋ2 9‚ЂF;D:WÐ59‚ЂF;D8ò›47:M΋ÓA.R^.9;:WD&DgT
:WP¹.: 9‚Ð?:b× Ð9‚ЂF;DgTM×M4EB7B‚P¹.jÒ8D)4OF;Dg9~:Q4ON&.B¹Ñ‚47:Ò8DjN^:WЋRWT> Ð8RQD)472HϹÐ8RQ:S.C9~:QB7V~òj:WPÀD)ςRQ4EЋRW47:bV
ÐÕD&Ò8D&RQV9‚ЂF;D¿479:QP‚DBED…Õv:HTQӂт:WRQD&D×M4EB7BZÑADB7D^0‚4§N…Ð8Î8R^.ςPÀ4§Ng.B7B7VÁTW2".CB7BEDgR:WPA.C9D.8NQP
9‚ЂF;D54E9Á:QP‚DHRQ47Î8P;:TWÓÀт:WRQD&D&T> UMP;ӂTjò/47:ςRQÐÒ;4§F3D&Tâ.C9ÁD "N^47D&9;:BED…Õv:bûb:WÐCû“RQ4E΋P;:|ЋRSF;DgRW479‚Î
ÐÕ):QRWD&D59‚ЂF;D&Tj> ÀӂRW:QP‚D&RD&BO.ѹÐ8R^.:W47Ћ9KÐCÕÃ:QP‚47TTW:QRS.:QD&Î8VŠNg.9ÁѹDÕvЋӂ9AFá4E9¿ý{ïÀîQÿü> tÕ):WP‚D
ÏA.CRS.B7B7D&BMTQV~TQ:WD&2 .8F3P‚D&RWDgTH:WÐ:WPÀD&TWD¿ÏÀRW47Ð8RQ4E:Q47D&Tò=:QP‚DTWD.CRSNQPTWϹ.8N^D¿47TD^0A.254E9ÀDF479 .
NQPA.R^.8N^:QD&RW47TQ:W4ON QтRWÐ;Ð82,û“TQ×+DgD&Ï 2".C9‚9‚D&RZÕvRQÐ82 B7D^Õt:bûb:WÐûbRW47΋P~:jò¹BEDj.8F;479‚Ώ:WÐ.H25D&2HЋRWV‹û
D "N^47D&9;:jòAN^Ћ9‚TW47TW:QD&9;:|.C9AF52HÐ89ÀÐ8:WЋ9‚4ON TWD.CRSNQP¿Ï‚RQЂN^D&TWTj>
Yd
‚
<
DZ
\
00
0000
0001
010
0010
00000
00001
10
01
011
0011
00010
¹µ Àµ ›`tnoej`tnoavuH_gsbstnod‹c\SdabsMabemQn{yo8`b\^d,nodab8\Msb\&_&`bmQab`b\^\ ‰
Š9‹>Œ
ë
ì
PA.CRW2ö.B7B7Ð×MTт47:üû“Ò‹DN^:WЋR?ÏÀRW47Ð8RQ4E:Q47D&T:WÐѹD".TQTW47Î89ÀDFÁ:QÐK25D&TWT^.Î8DgT?:QпςRW47ЋRW47:W4 &D
:WPÀD&47RMTSNQP‚DF;ÓÀBE479‚ÎÕtÐ8RMD^0‚DN^ÓÀ:W47Ð89/>ÀUMP‚DςRW47ЋRW47:W4 &DF5B7Ð~.‹FÑA.BO.C9AN^479‚ÎTW:WR^.:QD&Î8V5ςRWÐÒ;4OF;DF
479 P¹.RW2ý{ï gÿ›N^B7Ð8TWDgBEV.8F;P‚DgRWD&T :WÐςRQ4EЋRW47:W47D&T=D&ҋD&9Ð89BO.RQÎ8DMF;47TW:WRQ47тӂ:WDjF2HD&25Ð8RWVZ2".1û
NQP‚479‚D&Tj> Ð89ÀTW47TW:QD&9AN^V.9AF,2HÐ89ÀÐ8:WЋ9‚4ON^47:bV.RWDD&9ÀTWӂRQDFÑ;VӂTW479‚Î
т47:bûbÒ8DN^:QÐ8RMςRQ47Ð8RW47:Q4EDgT>
ÀӂRW:QP‚D&RW25Ð8RQD8òӂTQ479‚ÎÁ:WP‚DP‚DgӂRW47TW:Q4ONÒ8.B7ӂD&T:QÐÁRS.C9‚6Š:QP‚D¿NWPÀ4EBOF;RQD&9ÑAD…ÕvÐ8RQDK.TQTW47Î89‚479‚Î
:WPÀD&47R+ςRQ47Ð8RW47:Q4EDgTD&9‚TQӂRWD&TM:QPA.:I:WP‚DZTWD.CRSNQPH47T΋BEЋÑA.B7B7VZÕvЂN^ӂTQDFЋ9:WP‚DM25Ð8TW:=ςRQÐ8254ETQ479‚Î
ÏA.CRW:WTZÐÕ=:WP‚DTQD.R^NQP¿:WRQD&D8>
‡
I!
Ã<;í
×m3E9b_‘sYBîGE_‘k[` _‘àIB±ÄAhYk0bGhi
UMP‚D&RQD¿47Tâ.C9ÐÒ8D&RQP‚D.8F.CTWTWЂN^4O.C:WDF ×M47:WPN^RWD.C:W47Ð89ÐCÕ*.NWP¹.RWD‹>UMP‚47T4E9¹N^B7ÓAF;D&T25D&Tbû
TS.CÎ8D5ÏA.TQTW479‚ΏÐÒ8D&RQP‚D.‹F›ò/T^NQP‚DF;ӂB7479‚οÐҋD&RWPÀD.8F›ò=.9¹FBEÐ;.8FáÑA.BO.C9AN^479‚ΏÐÒ8D&RQP‚D.‹F›> ÀÐ8R
.95D ›DN^:W47ҋD|Ϲ.RS.CB7BEDgBE4 .C:W47Ð89æò:QP‚D|N…Ð82HÏÀӂ:S.C:W47Ð89.TQTWЂN^4O.:QDF×M47:WP5D.8NQPNWP¹.RWDZ2ӂTW:IÑAD
TWÓ "N^47D&9;:WB7VHBO.RQÎ8D479RWD&BO.:Q47Ð89H:QÐ:WP‚47TMÐҋD&RWP‚Dj.8F›>ÀY)T|.
RWÓÀBED…û“ÐCÕOû“:QP;ӂ2Ñ/ò‹:WP‚D?N…Ð82HÏÀӂ:S.1û
:W47Ћ9‚TTWPÀÐ8ӂBOFáÑAD.ѹÐ8ӂ:î 1ûüï :Q4E25D&T2HЋRWD:WPA.C9K:QP‚DHÐҋD&RWP‚Dj.8F›>=ÛtUMP‚47TÐÒ8DgRWP‚D.‹F479
PA.CRW247T).ѹÐ8ӂ:.
ÕvD&×øP;ӂ9AF3RWDF;TÐCՀ254ON^RWЋTWDN^Ћ9AF;TZÐ89¿25Ð8TW: ÐÕ:QÐ3FÀ.jV TZ2".8NQP‚479‚DgT>{ß
UMP‚D×+ЋRW6¿.TQTWЂN^4O.:QDFá×M4E:QP¿.TW479‚΋B7D9‚ЂF;DÐÕ:WP‚DTWDj.RSNQP:WRQD&D?47T 8ÓÀ4E:QDTW2.B7Bbò;TWÐ5×+D
9‚D&DjF:WÐH.CÎ8Î8RQD&Î~.C:WD2".C9;V?9‚ЂF;DgT)479;:WÐ.TQ4E9ÀÎ8B7DNWP¹.RWD‹>
‚
%
Å
#
Â
A
Y)9D ›DN^:Q4EҋD)25D.9‚TæÐÕ/N^Ð89;:QRWÐ8B7B7479‚Î):QP‚DMÎ8R^.479‚TQ4 gD+47T=ςRWÐÒ;4OF;DF
:WPÀRWÐ8ÓÀÎ8P:WP‚DM9‚Ћ:W47Ð89
ÐCÕI.5N^ӂ:QÐ > ÀÐ8RZD&Ò8DgRWV9‚ЂF;DÎ847Ò8D&9á:WÐH.HNQPA.CRWD8ò­4E:MDgTW:W472.:WDgT)P‚Ð×ø2ÓANQP× Ð8RW6547T)479;û
ҋÐ8B7Ò8DF*4E9N^Ð825ςB7D&:W479‚ÎM:QP‚DMTWD.CRSNQPѹD&9‚D.C:WP:WPA.C:i9ÀÐ3F3DÛv4b> D8>^ÕvÓÀBEB7VD^0‚Ï‚B7Ð8RQ479‚Î):QP‚D+TQD.R^NQP
:QRWD&Dӂ9¹F;D&R47:Sß&> tÕ+:QP‚DD&TQ:W472".C:WD47T)ѹD&B7Ð× .5N^D&RQ:S.479Á:QP‚RWD&TQP‚Ð8BOF›ò¹:QP‚DHN^Ð825ςӂ:^.:W47Ћ9"47T
N&.CRWRQ4EDjFÐ8ӂ:Ñ;V.ÁTWD 8ÓÀD&9;:W4O.BZςRWЂN^DF3ӂRWDÁ479‚TQ:WD.‹FŠÐCÕóARW479‚ÎÁ:QP‚DKNQP‚47BOF;RWD&9¸9‚ЂF;D&T".CT
NQPA.CRWD&Tj> =TQ:W472".C:W479‚ÎZ:WP‚D).C2HÐ8ÓÀ9~:æÐ՛×+ЋRW647TiP¹.RSF479Î8D&9ÀD&RS.CB“>‹YRQD.TQÐ89A.CтB7DMP‚D&ӂRQ4ETQ:W4ON
47TMςRQÐÒ~4OF;DjFÑ;VH:QP‚D9;ӂ2ѹD&R+ÐCÕ9‚ЂF;D&TM:WP¹.:MRWDg2".4795:WÐѹD?N^Ð8B7ЋRWDF›>;UMPÀD2HЋRWD)9ÀÐ3F3D&T
:QPA.:RQD&2".C479/òj:WP‚DZ2HÐ8RQD+× Ð8RQ6:WP¹.: 4ET=B74768D&B7V:QÐѹD)RWD 8ÓÀ4ERQDF›>‹UMP‚D)΋RS.C4E9ÀTW4 &DM:WPÀRWD&TQP‚Ð8BOF
N&.C9HѹDTWD&:Z4E95:WD&RQ2HT ÐÕ=:WP‚47TM9;ӂ2ѹD&R>‹UMP‚47T+×M.TM:QP‚DP‚D&ӂRQ47TW:W4ONZ× D|Dg2HςB7ÐV8DjF
óARWTQ: ÕvÐ8R
N^Ћ9;:WRWЋB7BE479‚Î5:WP‚D΋RS.C4E9ÀTW4 &D8>/ù·Ð8:Q4§N…D?:QPA.:?.C::WP‚DP‚47΋P‚D&RB7D&Ò8D&B7TÐCÕ+:WPÀD:WRWDgDH47:N^RWD.C:WD&T
óA9ÀD&RMÎ8R^.479‚TW4 &DgT Ћ9‚D)9‚ЂF;DϹD&R)NQPA.RQD8>;UMP‚47T 4E9547:WTWDgBoÕ=47T+9‚Ћ:Ã.
ςRQÐ8тB7D&2ò8.T B7Ð89‚Î?.CT
:QP‚D.jÒ8D&R^.Î8DZÎ8R^.479‚TW4 &D47T TWÓ "N^47D&9;:QBEV5BO.RW΋D8ò‹×MP‚4ONWP47T D.TQVH:WÐD&9‚TQӂRWD.T :WPÀD|9;ӂ2ѹD&R
ÐCÕiB7D.jÒ8DgTM4ETMÓÀTWÓA.CBEB7VBO.RQÎ8D&RM:QPA.95:WP‚D
9~ÓÀ2ÑAD&R ÐÕ=479~:QD&RW9¹.B/9ÀÐ3F3D&T>
UMP‚47TÎ8R^.479‚TW4 &DHN…Ð89;:WRQÐ8B25D&:WP‚ЂFá×+ЋRW6;T.8F;D 8Ó¹.:WDgBEVáÕvЋR|RQD&BO.:Q4EҋD&B7VRWD&΋ӂBO.R:QRWD&D&T
.C9AF ЋR?.áTW2".CB7B9;ӂ2ÑADgRÐÕ)ςRQЂN^D&TWTQÐ8RQT>MGDgV8Ð89¹FÁ:WP¹.:ò=47:RWӂ9ÀT?479;:WÐ:WP‚D,ÕvÐ8B7B7Ð×M479‚Î
ςRQÐ8тB7D&2ع:WP‚D&RQD4ET.¿TQ4E΋9‚4 óxN&.C9~:Ò8.CRW4O.:Q4EЋ9K479Á:QP‚DHTQ4 gD"ÐCÕÃTQӂт:QRWD&D&T5ςRWЂF;Ó¹N^DF Ñ;Và.
΋4EҋD&9Î8R^.479‚TW4 &D
:WP‚RQD&TWP‚ЋBOF›>¹UMP‚47T)2HDj.9‚TM:QPA.:ZTWÐ825DÎ8R^.479‚T).CRWDTWӂтTQ:S.C9~:Q4O.B7B7VHBO.RQÎ8D&R
479¿TQ4 gDHN^Ð825ÏA.RQDF:WЏ:QP‚Dâ.jҋD&RS.CÎ8D8> )9Á.BO.CRWÎ8D9;ӂ2ѹD&R)ÐCÕÃςRQЂN^D&TWTQÐ8RQTòæTWÓANQPÁÎ8R^.479‚T
× Ð8ӂBOFáP‚Ð8BOFÑA.‹NQ6K:QP‚D"N^Ћ2HςÓÀ:S.:Q47Ð89¿Ó‚9;:Q4EB :WPÀD&TWD5Î8RS.C479‚T?.RQDHD&Ò8.CB7ÓA.:QDFÐ89ÁTQÐ82HDÐÕ
:QP‚DMςRWЂN^DgTWTWЋRWTj>‚Y)T TWPÀÐ×M9B§.C:WD&RI4E9:WPÀD)ϹD&RbÕvЋRW2.9AN^DMTQDN^:Q4EЋ9/ò‹Î8RS.C479‚TW4 &D&T BO.RQÎ8D&R:QPA.9
:W472HDgT:WP‚D.jҋD&RS.CÎ8DMÎ8R^.479‚TQ4 gD|× D&RQD)Ð8ÑÀTWD&RQÒ8DF5479H:QP‚47T+TQ4E:QÓA.:Q47Ð89/>‹Y)B7:WPÀÐ8ӂ΋PTW2".CB7BEDgR
΋RS.479‚TQ4 &D&TM.RWDM9ÀÐ8:M.ςRWЋтB7D&2.TB7Ћ9‚Î?.TI:WP‚D.jÒ8D&R^.Î8DZ47T+.8F;D 8Ó¹.:WD‹ò;B§.CRW΋D&RÎ8R^.479‚TQ4 gD&T
F;ÐN^RWDj.:WDÁÏÀRWÐ8ÑÀBEDg2HTÑ;VB7D&9‚΋:WP‚D&9À4E9ÀΊ:WPÀDàN^RQ47:W4ON&.BÏA.C:WPø.9AF 4E25ÏA.8N…:W479‚Î:WP‚DB7Ð~.8F
ÑA.CBO.9AN^479‚ΏTQ:WRS.C:WD&΋VÁ9‚D&Î;.:W47ҋD&B7V~>¹UMP‚47T4ET*ÕvӂRW:QP‚D&RD^0A.8N^DgRWÑA.C:WDF ѹDN&.ÓÀTWDÐ89‚DHNg.9‚9‚Ћ:
ςRQDF;4ON^:M×MP‚4ONQPÎ8R^.479‚T ×M4EB7B›Ñ¹DB§.CRW΋D&Rò‚.C9AF5:WP‚DBO.RQÎ8D&RM΋RS.479‚T 2H47΋P~:IÑADB7D^Õt:+ӂ9;:Q4EB›:QP‚D
D&9¹FH×MPÀD&9:WP‚D&RQD?47T 9‚ÐÐ8:QP‚D&RZ×+ЋRW6:WÐ6‹D&D&ϏÐ8:QP‚D&RZςRWЂN^D&TQTWЋRWTтӂTQV~>
U=ЏPA.9AF3BED:WPÀD&TWD5TW47:WÓA.C:W47Ð89ÀTò›× DHF;D&ҋD&B7Ð8ϹDFÁ.9‚Ћ:WP‚DgRP‚D&ӂRQ47TW:W4ON:QPA.:?.‹F‚.ÏÀ:W47Ò8D&B7V
.‹F&Ô^ӂTQ:WT:WP‚DÎ8R^.479‚TQ4 gD8> b9 :WP‚47TP‚D&ӂRQ47TW:W4ONò=DgÒ8D&RQV NQPA.RQDTW:S.CRW:QTD&Ò8.B7ÓA.C:W479‚Ώ47:WTÎ847Ò8D&9
TQ:S.:QD|.CTM4oÕ/47:× D&RQD|΋Ð8479‚Î:QÐâN…Ð82HÏÀBEDg:WDM:WPÀD|×MPÀÐ8B7D)TQD.R^NWP:QRWD&DѹD&9‚D.C:WP47:> b9‚TW:QD.8F5ÐÕ
ӂTQ479‚Îâ.
RWDjN^ӂRWTQ47Ò8DςRQЂN^DF;ӂRQDÕvЋR+:QP‚47Tò;47:+ÓÀTWD&T).C9HD^0‚Ï‚B74ON^47:+TQ:S.‹NW6›> b:Ã.CBETQÐ?6‹D&D&ςTM:QRS.‹NW6
ÐCÕ+:WP‚DH.C2HЋӂ9;:MÐÕ+× Ð8RQ6ÁÛv25D.TQӂRWDFá479K:QD&RW25TÐÕ+:QP‚D9;ӂ2ÑADgR)ÐÕM9‚ЂF;DD^0‚ÏA.9ÀTW47Ð89‚T^ß
47: PA.TMϹD&RbÕtÐ8RW25DFH.C:).9;VϹÐ8479;:+479:W472HD‹>8UMP‚DP‚DgӂRW47TW:Q4ON)ÓÀTWD&T.:WP‚RQD&TWP‚ЋBOF"F3D^óA9‚DFì4E9
:QD&RW25T|ÐCÕ|.59~ÓÀ2ÑAD&R
ÐÕM9‚ЂF;DHD^0‚ÏA.C9‚TW47Ћ9‚T> ¸P‚D&9Š:QP‚D9;ӂ2ѹD&RÐÕ)9‚ЂF;DD^0‚ÏA.C9‚TW47Ћ9‚T
D^0AN^DgDF;T:WP‚D
:WP‚RQD&TWP‚ЋBOF›ò¹:WP‚D?NQPA.CRWDTQD&B7DN^:QT*.ÏÀRWDF;Dg:WD&RQ2H479‚DF9;ӂ2ѹD&RMÐCՀTQ:S.C:WD&T·ÕvRWЋ2
:QP‚DÑAЋ:W:QÐ82 ÐCÕÃ:QP‚47TTW:^.8NQ6›òiN…Ð8ς47D&T:QP‚D&2%479;:WЏ2HD&TQTS.CÎ8D&T?.C9AFáóARQD&Tâ.59‚Dg× NQPA.CRWD,ÕvÐ8R
D.‹NQPHTW:^.:QD8>;YM:+:QP‚47T+ϹÐ8479;:ò‹47:Ã.CB7TWÐRQD&TWD&:QT):QP‚D.2HЋӂ9;:=ÐÕ/× Ð8RW6HF3Ð89‚DZ:WÐ &D&RWйò;TWÐ:WPA.C:
:QP‚D"N^Ћӂ9;:HN&.9 ÑADgÎ8479 .C9‚D&×>=UMP‚DNWP¹.RWDRQD&ÏADj.:WT5:WP‚47TςRWЂN^DgTWTHÓÀ9~:Q47BÃ.CBEB :WPÀD"9ÀÐ3F3D&T
Ћ9¿:WP‚DTW:^.8NQ6K.CRWDD^0‚PA.CӂTW:QDF›òæRWD&ϹD.C:WDF;B7V¿TQP‚DF‚F34E9ÀÎ"Ð .âÕvD&×Ö9‚ЂF;D&T.T9‚D&×'NQPA.CRWD&T
.CT?47:F;Ð;D&T2HЋRWDH× Ð8RQ6›>ÛtYÒ8.RW4O.C9~:
ÐÕ|:QP‚47T?TQ:WR^.:WDgÎ8VŠ:QPA.:× DHD…03ϹD&RQ4E25D&9;:WDF ×M47:WP
TQςB74E:QTÃ.CB7B‚:WP‚D.jÒ8.C4EBO.CтB7D+TQ:S.:QD&TMÐ895:WP‚DZTW:^.8NQ6H479;:WÐ2ÓÀBE:Q47ςB7DÎ8RQÐ8ӂςTjò‚.9AFâóARWDgT).?NQPA.CRWD
ÕvЋRD.‹NWP Î8RQÐ8ӂÏÁÐCÕ)TW:S.C:WD&Tj> b9Á:WP‚47TÕtÐ8RW2ÓÀB§.C:W47Ð89æò‚D.‹NWPNQPA.RQDH47T?΋47Ò8D&9Á.9;ӂ2ѹD&RÐÕ
TQ:S.:QD&TòÀ479‚TW:QD.8F,ÐÕ3ԅӂTW: Ð89‚D‹ò;×M4E:QPH×MP‚4ONQPH:QÐ?ѹD&΋4E9æ> ßIUMP‚47T P‚D&ӂRQ4ETQ:W4ONZD&9‚TQӂRWD&TZ:WPA.C:+:QP‚D
΋RS.479‚TQ4 &DÐÕ|.¿NQPA.CRWDF;Ð;D&T?9ÀÐ8:Î8RWÐ×Ö479Š.9ŠÓÀ9~ѹÐ8ÓÀ9AF;DF2.9‚9‚DgRòæÑADNg.ӂTQD"× Ð8RQ6K47T
N^Ћ9;:W479;ÓA.B7B7V?TQP‚DF5ÕtRWÐ82 .BO.RQÎ8DTWÓÀт:WRQD&D8>
UMP‚47TH4OF;Dj.ÁÐÕ.8F‚.Cς:W47Ò8DáÎ8RS.C479‚TW4 &DKN…Ð89;:WRQÐ8B×Ã.CT"F;D…óA9‚DFø.C9AF:WDgTW:WDjF Ð89TQ4E25ςB7D
%
%
Y
FL
[N
M
Æ
3
M
0
#
1
8u
%
9
F;47Ò;4OF;D^ûW.9AF‹ûWN^Ћ9 ‹Ó‚D&RςRWЋÎ8RS.C2HT479 Ð8ӂRD.RQB74EDgR?× Ð8RQ6x> b:4ET.B7TQпRWD&BO.C:WDF :WÐ9‚Ћ:W47Ð89‚T
F;D^ó¹9‚DFÑ;V¿ý ;ò‚ï Cÿü>
¯
Ã<;ï
3
BMEi‘_‘k‚lñðª_‘b@ò_jk[m3BM[BMk[m0BMk8b"`c^‚9lYGE9@[`
ÀÐ8R)TQ472HςB74ON^47:bV~òC×+DPA.jҋDÐ8254E:Q:WDF5.9;V"F3D&:S.C4EB7TZÏAD&RQ:S.C4E9À4E9ÀÎ:WÐ:WPÀD2ӂB7:W47ςB7D)479AF3D&ÏADg9;û
F;D&9;:TQӂтÎ8R^.ςPP‚DgӂRW47TW:Q4ON^T479Š:WPÀDìF34ET^N^ӂTQTW47Ð89TWÐáՓ.CR> ÁDH×M47B7B+9‚Ð× F;D&TSN…RW47ÑADá:WP‚D&TQD
P‚D&ÓÀRW47TW:Q4§N…T>
PÀD&9¿.HNQP‚47BOF"NQPA.CRWD9ÀÐ8:W4ON^DgT):WP¹.:):QP‚D΋RS.ÏÀP"RQD&ςRQD&TWD&9;:QDFÁÑ;VH:QP‚DTQ:S.:QD&TN&.9áÑAD
ÏA.CRW:W47:Q4EЋ9‚DFá479~:QÐ479AF;D&ϹD&9AF;Dg9~:
TWӂт΋RS.CςP‚T.jÕv:QD&R.ÏA.CRW:Q4§N…Ó‚BO.RN^Ð8B7ЋRW479‚ΏÛvÑ;V¿RQӂ9‚9‚479‚Î
.TQ4E25ςB7DÃN…Ð89‚9‚DjN^:WDFN^Ћ2HϹÐ89‚Dg9~:QT+.B7΋Ð8RW47:QP‚2"ßgò47:=ѹDN^Ð825D&TM.9Y|ùZXNQPA.CRWD8>;YZ9Y|ùZX
NQPA.RQDóARQD&T:WP‚D479AF;D&ϹD&9AF3D&9;:|TQӂт΋RS.ÏÀP‚T|.CTMTWD&ÏA.CRS.C:WDNWP¹.RWDgT> I.8NQPKNQPA.RQD47TMÎ847Ò8Dg9ì.
TW:^.:QD|479×MP‚4ONQP:WPÀD)9‚ЂF;D&TM9ÀÐ8:ѹD&B7Ð89‚΋479‚Î:WÐ4E: .RWDZ2".CRW68DjF479:WPÀD ;ý ÿ/.RQRS.jVÑ~VH.
TWϹDN^4O.CBiÒ8.CB7ӂD8>;UMP‚DTQ:S.C:WD25D&TWT^.Î8D.CBETQÐHN^Ð89;:^.479‚TM:WPÀD4OF;D&9;:W4 óAD&RZÐÕ:WPÀD|Ϲ.RWDg9~:ZY|ùZX
NQPA.RQD8>›UMP‚DNWP¹.RWDgT479"Dj.8NQPKTQӂт:QRWD&DӂTQD?:QP‚47T)4OF;D&9;:Q4oó¹D&R):QÐHRWDgÏAЋRW:?.TQÐ8B7ӂ:W47Ћ9¿:WÐ5:WP‚D
Y|ùZXøNQPA.RQD|4 Õ.9AF,×MP‚D&9H:QP‚D&V,óA9AFЋ9‚D8> PÀD&9H:QP‚DY|ù)XøNQPA.CRWDRWDjN^D&47Ò8D&T.25D&TWT^.΋D
479AF;4ON&.C:W479‚Î).MTQÐ8B7ӂ:Q4EЋ9:WÐZÐ89‚DIÐÕA47:WTæTWӂÑÀÎ8RS.CςP‚Tjò47:/2ӂTQ:›TW:WЋRWD :WP‚D TWЋB7ӂ:W47Ð89.C9AF:QD&RW254 û
9A.C:WDTWD.CRSNQPÕtÐ8RM.9;V?25Ð8RQDMTWÐ8B7ӂ:Q47Ð89‚T=ÕtÐ8R :WP‚47T TWӂт΋RS.CςP/>‹UMP‚DB§.C:W:QD&R+47T+.‹N&N^Ћ2HςB747TWP‚DjF
Ñ;VTWD&9¹F;479‚ÎH.25D&TWT^.΋D|F;Ð×M95:WP‚D:WRQD&D8> ‚ЋR+:QP‚47TMςӂRWϹÐ8TQD8òA.CB7BxNQPA.CRWD&TM2.479;:S.479.B747TW:
ÐÕ:WP‚Dg4ERHNQP‚47BOF;RQD&9 NQPA.CRWD&Tjò+.9¹FÁTWDg9AF.¿:QD&RW254E9¹.:W47Ћ9Á2HD&TQTS.΋DH:QÐK:QP‚D&2ö×MP‚Dg9 :QP‚D&47R
ÏA.CRWD&9;:RWD ‹Ó‚D&TQ:WT5:WD&RQ2H479A.:Q47Ð89/>¹UMP‚D:QD&RW254E9¹.:W47Ћ9K25D&TWT^.Î8DgT?2.jV"9ÀD&Ò8D&R
ÕvӂB óAB7B:QP‚D&47R
ςӂRQÏAЋTWDZ4o՛D&ҋD&RWVÐ8Ñ8Ô^DjN^:ςRQÐ3N…D&TWTQD&TM:WP‚Dg2 Ћ9‚B7V?.jÕt:WD&R=TWϹ.j×M9‚479‚Î4E:QT+NQP‚47BOF;RWD&9æ>U=Ð*.jҋÐ84OF
:WPÀ4ET479;óA9À4E:QD W6;47BEB ûWNQPA.TQ4E9ÀÎ Aò;× DRQD ‹Ó‚47RWD.B7BiNQPA.CRWD&Tӂ9AF3D&R:WP‚DTWӂÑÀ:WRWDgD&TÐÕ+.C9¿Y|ùZX
9‚ЂF;D:WÐRWD 8ÓÀD&TW:ZÏAD&RQ2H47TWTQ47Ð89ÕvRQÐ82½:WP‚Dg4ERMϹ.RWDg9~:QTMÑAD…ÕvÐ8RQD|TQÏA.j×M9‚479‚Î:QP‚D&47R)NQP‚47BOF;RWD&9æ> tÕ
:WPÀD|Ϲ.RWDg9~: PA.CT+9‚Ћ:+RQDN^D&47ҋDF¿.:QD&RW254E9¹.:W47Ћ9?25D&TWT^.Î8DZ×MP‚D&95:WP‚DRWD 8ÓÀD&TW: ÕvЋR+ϹD&RQ2H47Tbû
TW47Ћ9"47TMRQDN^D&47Ò8DjF›ò¹4E: ×M47B7B›Î8RS.C9;:+:QP‚DϹD&RW254ETQTW47Ð89.9AF5TQD&9AF:QP‚47TM2HD&TQTS.΋D|F;Ð×M9:QÐ:WP‚D
NQP‚47BOF;RWD&9æ>UMP‚47TD&9‚TQӂRWDgT+:QPA.:=:WPÀDM:WD&RQ2H479A.:Q47Ð8925D&TWT^.Î8DgT€Ng.9HN&.C:SNQPӂÏ×M4E:QP?:QP‚DM9‚ЂF;D
D^0‚ÏA.C9‚TW47Ð89ÀT>;UMP‚DY|ùZX 9‚ЂF;D×Ã.C47:WT=ÕvЋRÃ.
TWЋB7ӂ:W47Ð89,ÕvÐ8RID.8NQPÐÕ=:WP‚DZTWӂт΋RS.CςP‚TM47:+P¹.T
TWϹ.j×M9‚DF.T).NQPA.RQD8òA.C9AF×MP‚Dg9"Dj.8NQPTWÓANQPTWЋBEÓÀ:W47Ð8954ET RWDg:WӂRQ9‚DF›ò¹47:ÃN…Ð82HϹÐ8TQD&T :WP‚D&2
479;:WÐ|.ZTQÐ8B7ӂ:W47Ћ9ÕvÐ8Ræ47:WTWDgBoÕ^>UMPÀDMY|ù)X 9‚ЂF;DM2.jVM47:WTWDgBo՛ѹD+ӂ9¹F;D&R+.C9‚Ð8:QP‚D&R=Y|ùZX9‚ЂF;D T
TWÓÀт:WRQD&D8òæ4E9¹F;4ON&.:Q4E9ÀÎÕvӂRW:QP‚D&RϹ.RW:Q47:W47Ð89‚479‚ÎÐCÕÏA.RQ:W47:W47Ð89ÀDF¿Î‹RS.CςP‚T> b9¿:QPA.:N&.CTWD8ò­:WP‚D
Y|ùZXø9‚ЂF;D
×M4EB7B¹TWD&9¹F47:WTMTWЋB7ӂ:W47Ð895:WÐ47:WT).9¹N^D&TW:QÐ8RZY|ù)X 9‚ЂF;D ;>
UMP‚DYù)X 9‚ЂF;D.B7TQÐ?9‚DgDF;TM:WÐ6;9‚Ð׸×MP‚D&9Ð89‚DZÐÕ=4E:QTMTWӂÑÀÎ8RS.CςP‚T)F;Ð;D&TM9ÀÐ8: PA.jÒ8D
.TQÐ8B7ӂ:W47Ћ9/> b9:WP¹.:+N&.CTWD8ò‹47:=9‚D&DF;TM:QÐ:WD&RQ2H479A.:QDM:WP‚DMTQD.R^NQPHÐ89:QP‚D)Ћ:WP‚DgRTWӂÑÀÎ8RS.CςP‚Tj>
U=ÐâF3D&:WDN…:):WPÀ4ETMN^Ћ9AF;47:W47Ð89æò8D&ҋD&RWV9‚ЂF;DZ479H:WPÀD|TQӂт:QRWD&DÐCՀ.C9HY|ùZX 9‚ЂF;DRWD&ϹÐ8RQ:WTZ:WP‚D
Ž+d_^yoab\^`bd~_gatnorj\?sbmQ8\^c\fOe` ab\^`bc)nod;_&atnod‹sb\…_g`bmW5ed5fOk8atn{yo\
sbk8}8ab`b\^\^sMnosZ];esbstno}Cyo\ ‰ wvd5abnos
sbmW8\^c\jp\&_gmWmWCn{yod8e‹\e&fA_gdŽ [¿mQ~_g`b\=nosi_gsbstnojd8\^?_ k8dCn k8\Inod8‹\ ‰ r\^`bu)]‹`bem^\Ssbsbej`
c*_…nodaW_…nod8sab‹\?sbaW_gabk8segfÃ_^y{y sbk8mWád8e8\^sZnodK_,aW_&}Cyo\ ‰æˆ ‹\Sd_&d¿Ž [ mW~_g`b\¾=nosb8\^sabe
ab\S`bcZnod;_&ab\H_sbk‹}8ab`b\^\jp›noa}8`be_&‹m…_gsbabs_c|\^sbsW_g\abeH_…y{y+]‹`bemS\^sbsbej`bs¾CnomWab8\^d¿k8];;_&ab\
ab8\sbaW_gabk8s
nod _5aW_&}Cyo\ wvd‹sbab\…_gŠegf)`b\ k8\^sbatnod8];\^`bc)nosbstnoejd fO`becab‹\Wno`];_&`b\^damW;_&`b\^s^p
nod8norjno‹k~_gy/mQ~_g`b\SsIstnoc|]C‰ you?mQ8\^m ab‹\MsbaW_&abk‹siegf›ab8\Qno`sbk8}‹ab`b\^\ nod?ab‹\+aW_g}yo\MCno`b\Sm^atyou ‰ Ž [
mW~_g`b\^s)¾CnomWK_g`b\‹\Ssbm^\^d8‹\^dabs|egf+ejab8\^`)Ž [ mW~_g`b\^s)cZk8sba)sbatn{y{y }~\
ab\S`bcZnod;_&ab\^k8stnod8
c|\^sbsW_g\^s ‹\|ab`W_g8\^egÂK};\^av¾=\^\^d"ab‹\av¾=esbmW8\^c\^s)‹\S];\^d8‹sed5ab8\dk‹c)};\^`)egf€d‹e8\^s
f§ej` ¾nomQ"‰›sb» aW_gabk8sMcZk8sbaM};\c_^nodaW_…nod8\^ ‰ wOf=ab8\dk8cZ}~\^` nos yE_g`b\jp›ab8\m^ejsba+egf}8`be_&‹m…_gsba
ek‹av¾=\Qno‹sab8\ m^esbaæe&f›sb\^d8Cnod8];\S`bcZnosbstnoejdHc\^sbsW_&j\^s^p~_gd8ab‹\+sbmQ8\^c\+‹\Ssbm^`tno};\^\&_&`ty{no\^`
nos};\Sabab\^` ‰
3u
u
L
R« ÌÍ>ÌÎ
Mu
Y
±Z
I\
M
IÂ
Y
ó
ô
.õ
ö
XW I÷
©õ
ö
ø
.õ
©õ
Փ.C47BEÓÀRWD:QÐHó¹9AFK.5TQÐ8B7ӂ:W47Ћ9¿479¿47:WTTWӂÑÀ:WRWDgDH:WЏ47:WTÏA.CRWD&9;:j>›UMP‚47T×Ã.jV;ò¹:WP‚DY|ùZX½9‚ЂF;D
D&ҋD&9;:WÓA.CB7BEV*óA9AF;TЋӂ:.ѹÐ8ӂ:ITWÓANQPՓ.C4EB7ӂRQD&TæÕvRWЋ2'47:WT NWPÀ4EBOF;RQD&9/>8ú€RW47Ð8RQ4E:Q4 .:Q4EЋ9?ÐCÕxYù)X·û
L:QRWD&D&TM47T+.*2HÐ8RQD)N^Ð825ςB7D^0?:QÐ8ς4ONý{ï‚îQÿW> ‚ЋR:WP‚47T+.CB7Î8Ð8RQ47:WP‚2ò× D).B7B7ЂN&.:QDF4OF;D&9;:W4ON&.CB
ςRQ47Ð8RW47:Q4EDgT+:QÐ:WP‚D?NQP‚47BOF;RQD&9ÐÕi:QP‚DY|ùZX'NQPA.RQD8>
M
æÈ &ÉÈ =Æ)Ì
WË æÇ3ÍQÉÆ
ÁD59‚Ð× F;47TSN…Ó‚TWT5:WP‚D¿4725ÏA.8N^:
ÐÕ|:QP‚DP‚D&ӂRQ47TW:W4ON^T.9AF :QP‚D4E25ÏAЋRW:^.9AN^D5ÐÕ.8F‚.Cς:W47Ò8D
΋RS.479‚TQ4 &D?N^Ћ9~:QRWЋB“ò¹.TF;D&:WDgRW2H479‚DjFÑ;V"ЋӂR)ϹD&RüÕvÐ8RQ2".9¹N^DD&Ò8.CBEÓ¹.:W47Ћ9/>;UMP‚D?.CBE΋Ð8RQ4E:QP‚2
47TςRQÐ8΋RS.252HDF
479 PA.RQ2Ûv×MPÀ4§NQP5RWӂ9‚TMЋ92".C9~VTWP¹.RWDjFH.9¹FςRQ4EÒ8.C:WD^ûb2HDg2HÐ8RQV2".jû
NQP‚479‚D&T^ß&>¹JMD&RQD?× DRWD&ϹÐ8RQ:)TWЋ2HDÐÕ=:WP‚D
ÏAD&RüÕvÐ8RQ2".C9AN^DF‚.:^.Ð89:WPÀD =9AN^ЋRWD ìӂB7:W472".10
×M47:WP *ςRWЂN^D&TQTWЋRWT)479H.
TWPA.CRWDF,2HD&25Ð8RQV?N^Ð893óAÎ8ӂR^.:Q4EЋ9/ò8.C9AF:QP‚D)9 ZG 8ï
×M4E:QPӂÏ
:QÐ?ï8þ )ÏÀRWЂN^D&TQTWÐ8RQT>ÀUiÐ΋D&9‚D&R^.:WD:QP‚D)479‚Ï‚ÓÀ:Î8R^.ςP‚Tjò8× DMӂTQDFH.R^.9AF3Ð82½Î8R^.ςP΋D&9‚D&Rüû
.C:WÐ8RI×MP‚4ONWP5:S.C68D&T :WP‚DZ9;ӂ2ÑADgRÐ՛Ò8D&RQ:W4ON^D&T).C9AF:QP‚D)9;ӂ2ѹD&RÐCÕ/DF;΋D&TÃ.CT+Ϲ.RS.C2HD&:QD&RWTj>
.‹NQP¿Î8D&9ÀD&RS.C:WDF΋RS.ÏÀP/ò;ÕvЋR|.,Î847Ò8D&9áÒ8.B7ӂDÐCÕIñ­òA2.jVÐ8RZ2".jVH9ÀÐ8:)P¹.jÒ8D?.,TWÐ8B7ӂ:Q47Ð89/>
Z9‚B7VTWÐ825D)ÐCÕ/:WP‚DD^0A.25ςB7D+΋RS.CςP‚TM479:WP‚DЋRW47Î8479A.CB‚TW:QÓAF;V¿ý7î gÿi.CRWD)TQP‚Ð×M9HPÀD&RWD8>ÀUMP‚D
NQPA.CRS.8N…:WD&RQ4ETQ:W4ON^TZÐÕ:WP‚DgTWD΋RS.ÏÀP‚T).RQD|TQP‚Ð×M9479"U.CтB7D|î‹>
ù
º*
Mú
¾À/
8*oûü[/9» +/
u
ªL
ªd
©†
¬LKÆ
#
L
Àn{yo\
8_&c]Cyo\ ‡
8_&c]Cyo\
8_&c]Cyo\ ”
8_&c]Cyo\ æ³8¯ ;µ‚wtd8]8k‹aŒ‹yo\)sbk‹c|c_g`bu ‰
ý
÷
W
÷
W
÷
W
÷
W
Ie8\^s
„j†j†
‡’ †
†j†
„j†Cƒ
õ
ÿ
÷
‹\^s h€e&yoej`bs
ƒ ’ j’
‡ ƒ
„j„j” „
‡ ‡
ÿ
ÿ
ÿ
þ
þ
þ
þ
ÿ
legyok8atnoejd
/\^s
/\^s
Ie
Ie
õ
õ

ZӂR›ó¹RWTW:=TQD&:/ÐCÕAD^0‚ÏADgRW472HD&9;:QT›ÕvЂN^ӂTQDFЋ9D&Ò8.B7ÓA.C:W479‚Î :WP‚DIӂ:W47B747:bV)ÐՂÒ8.CRW47Ð8ӂT›PÀD&ӂRW47Tüû
:Q4§N…T> ÁDMÕtÐ8ӂ9AF,:WPA.C:M:WP‚DÒ8.CBEÓÀDMÐ8RSF3D&RW479‚ÎP‚DgӂRW47TW:Q4ON)Î;.jÒ8DF;RS.C2".:Q4ON 4E25ςRWÐҋD&2HDg9~:QT=4E9
ϹD&RbÕtÐ8RW2.9AN…DÕvЋRHN^Ð8B7Ð8R^.тB7D5Î8RS.CςP‚Tj>UMP‚DÒ8.RQ4O.тB7DHЋRSF;DgRW479‚ÎÁP‚D&ÓÀRW47TW:Q4§Nì×Ã.CTÏA.RQ:W4ONQû
ӂBO.CRWB7VŠP‚DgBEÏ3ÕvӂBZÕvÐ8R5ӂ9AN^ЋB7Ð8RS.CтB7D¿Î8R^.ςPÀT> U+V;ς4ON&.CB7BEV;ò=×M47:WP‚Ћӂ:H:QP‚D&TQDÁP‚D&ӂRQ4ETQ:W4ON^T¿:QP‚D
TQD.R^NWP× Ð8ӂBOF59‚Ð8:N^Ð825ςB7D&:WD
4E9.RWDj.TWЋ9A.ÑÀBED.2HЋӂ9;:+ÐCÕ+:W4725D|Ћ9¿2HЋTW:MÐCՀЋӂR):QD&TW:
΋RS.ÏÀP‚T>UMPÀDÕvЋRSN^DjF2HÐÒ8DgTi.9¹F472HϹÐ8TQTW47т47B747:bVM:WD&TQ:W479‚ÎP‚DgӂRW47TW:Q4ONM.B7TWÐB7DF
:WÐF;RS.C2".C:W4ON
472HÏÀRWÐÒ8Dg2D&9;:WT>jYZTD^0‚ÏADjN^:WDF­ò;ςRWD^ûWN^ЋBEЋRW479‚ÎRQDF;ÓAN…DFD^0‚DN…Ó‚:W47Ð895:W472HD€ÕvÐ8RÓÀ9AN^Ð8B7ЋRS.ÑÀBED
΋RS.ÏÀP‚T> ÀÐ8RD^0A.C2HςB7D8ò¹:WPÀD:W472HDÕtÐ8R?.C9Kӂ9¹N^Ð8B7Ð8R^.тB7DÎ8R^.ςPÁ×M47:WPîþ 5Ò8D&RQ:W4ON^D&T.9AF
‹þ DF;Î8DgT)×M47:WP HN^ЋBEЋRWT)F;DjN^RWD.CTWDFìÕvRQÐ82%îï TQDN^Ћ9AF;T):Qпî ÀîTWDN^Ћ9AF;TZÐ89¿.TW479‚΋BED
ςRQЂN^D&TWTQÐ8R5RWӂ9/>æUMP‚DÒ8DgRW:WD…0 RWDg2HÐÒ8.BIP‚D&ӂRQ4ETQ:W4ON5B7DFÁ:QÐKB7D&TQTâF;R^.2.:W4ONòæÑ‚Ó‚:F;D^ó¹9‚47:WD
ϹD&RbÕtÐ8RW2.9AN…D)472HςRQÐÒ8D&25D&9;:WTj>
Z9‚DÐÕ=:WP‚D479;:WD&RQD&TW:Q4E9ÀÎH.TWϹDN^:QT)ÐCÕiÐ8ÓÀRMD^0‚ÏAD&RQ472HD&9;:S.C:W47Ð89×M.T :WPÀD|D…03:QRS.CÐ8RSF34E9¹.RWV
TQÓAN&N^D&TQT?ÐCÕÃ:QP‚DP‚D&ÓÀRW47TW:Q4§N…T×+DÓÀTWDÕvЋR*N…Ð8B7Ð8R^.тB7DÎ8RS.CςP‚Tj> b9K25Ð8TQ:|N&.CTWD&Tjòi.N^ЋBEЋRW479‚Î
× Ð8ӂBOFѹDZÕvÐ8ӂ9¹F4E9.TQP‚Ð8RQ:M:W472HD :WÐ;ÐTWP‚ЋRW:M:QÐ?ѹD)× Ð8RQ:WP;VÐÕ=ÏA.R^.B7B7D&BAÏÀRWЂN^D&TQTW479‚ÎA>
YZTH:WPÀD¿ÕvЂN^ÓÀTH479:WP‚47THϹ.ϹD&R4ET5Ð89Ϲ.RS.CB7BEDgB)N^Ð825ςӂ:W479‚ιò=×+DáPA.jÒ8D¿479AN…BEÓ¹F;DFN&.CTWD&T
×MP‚DgRWDH:QP‚DTWDj.RSNQP ÕvÐ8R.TQÐ8B7ӂ:W47Ћ9K×M.T9‚Ћ:?.TÕb.TW:j>=Û ·Õ|N^ЋӂRWTQD8òæ4E:
4ETϹÐ8TQTW47тB7D:WPA.C:
:QP‚DRS.C9AF;Ð8254 &DFÎ‹D&9‚D&R^.:W47Ћ9ÁÐÕMÎ8RS.CςP‚TB7D.‹F;T:QпD.TQ47BEVN^Ð8B7Ð8R^.тB7DÎ8R^.ςP‚Tjò›×MP‚D&RQD.T
Mu
0
#
±
I#
8
KN
a
RWDj.B û“B74 ÕvDH.CςςB74ON&.:Q4EЋ9‚TTQÓANQP .CT:WPÀÐ8TWD25D&9;:W47Ð89‚DjF4E9 3DN^:W47Ћ9î8ò=.RQD2HÐ8RQDâF34 "N…Ó‚B7:>
ZӂR)TQD.R^NQP¿Ï‚RWЋÎ8R^.2×M47B7B›ÑAD25Ð8RWDZӂTWD…ÕvӂB/:QP‚DPA.R^F;D&RZ:WP‚D΋RS.CςP‚T).RQD:WÐHN^ЋBEЋR>{ß
U.ÑÀBEDMïÁTQP‚Ð×MTH:QP‚D¿Ï¹D&RbÕtÐ8RW2.9AN…D"Ћ9.ÁN^ЋBEЋRS.CтB7D"΋RS.CςPøÛ i0À.C2HςB7D ~ßÐ89¸:WP‚D
Ó‚B7:Q4E2.j0/>jY)B7B¹:WP‚DZTWϹD&DF;ӂÏÀT|.RQD)×M47:WPRQD&TWϹDN^:Z:WÐ:WP‚DZÑADgTW:MTWD 8ÓÀD&9;:W4O.B¹ÏADgRbÕvЋRW2".C9AN^D
Ð8ÑÀ:S.479‚DjFH×M47:QPH:WPÀD|PÀ4E΋P‚D&TQ:MÎ8RS.C479‚TW4 &DZBEDj.8F;479‚Î:WÐ.TW479‚΋BEDNQPA.RQD*F3Ð8479‚Î.B7BA:QP‚D×+ЋRW6›>
Z9¿D&47Î8P;: ςRWЂN^DgTWTWЋRWTjò›:WP‚DTQÏAD&DjF;ӂÏ4ET).CςςRQÐj03472.:WDgBEV ‚>{ï‚>
“

aL
d
­`bemS\^sbsbej`bs h=~_g`b\^s \Sm^k‹atnoed
» noc\
» noc|\
Osb\^m ];\S`Mh=;_&`b\
Ocs
ƒ
ƒ
ƒS‡j‡1†
ƒ^‡‡†ƒ ’†
ƒ^‡ ’ „
” „
‡
ƒ…„j”
„Cƒƒ
”
’
”
”„g‡
ƒ æ³8¯ Àµ ›_g`W_^y{yo\Qy|sb];\^\^‘vk‹]8sejdŠ_sbk8m^m^\^sbstfOky)sb\&_&`bmQÁedkCyoatnoc_ ;p fOe`
ab8\Hj`W_g]8Áegf
8_gc]yo\ ‡‹‰
ì
W
÷
þ
Ç®
þ
þ
þ
ÿ
þ
ÿ þ
þ
.ì
W
W
÷
U.ÑÀBED ZTWP‚Ð×MT=RQD&TWӂB7:QTÐ8т:^.479‚DF
Ð89:WPÀD+9 ZG 8ï‚>CY)T=:WP‚47T=2".‹NQP‚479‚D47T=B§.CRW΋D8òj×+D
TWPÀÐ× RQD&TWÓÀBE:QTÐ89ÀBEVZÕvRQÐ82 î jû&îï ςRWЂN^DgTWTWЋRWTMP‚DgRWD8>;LMӂ9ÀTi×M47:QPÕvDg×+D&RIςRWЂN^D&TQTWЋRWT ×+ЋӂBOF
RWD 8ÓÀ4ERQD2ÓANQP¿B7Ð89‚΋D&R):Q472HD&Tj>xL·D&TWÓÀBE:QTZÕvRWЋ22ӂB7:W47ςB7DÎ8RS.C479‚TW4 &DTWD&:Q:W479‚΋T*.CRWDTQP‚Ð×M9/>
ÀÐ8R D^0A.2HÏÀBED‹ò8.΋RS.C4E9ÀTW4 &D)TQD&:W:Q479‚Î?ÐCՀþ 25D.9‚TI:WPA.C:+:QP‚DTWD ‹Ó‚D&9;:Q4§.CB/.B7Î8ЋRW47:WPÀ2'×M.T
ӂTQDF×MP‚D&9 :WP‚D9;ӂ2ѹD&RÐÕ|ÓÀ9AN^Ð8B7ЋRWDF Ò8D&RQ:W4ON^D&T,ÕvD&B7BMÑADgBEÐ× þ àÛvÐ8ÓÀ:ÐÕ|.á:WÐ8:^.BMÐCÕ
Ò8DgRW:W4ON^DgTSß&> úæD&RbÕvЋRW2.9AN^D×M47:QP .Î‹RS.479‚TQ4 &DHTQD&:W:Q4E9ÀÎKÐCÕ|þ àÛvB7D.8F34E9Àο:WÐK.ì2HD.C9
Î8R^.479TW4 &DÐCՀþ 2H47B7BE4 TWDN…Ð89AF;T^ß&>;TQD&D&2HTM:QÐÑAD
:WP‚DѹD&TW:jòx.C9AF5:WP‚D
TWϹD&DF;ӂÏÀT|× D&RQD?.B7TWÐ
RWDj.TWЋ9A.ÑÀBED‹> ‚ЋR=D^0A.2HÏÀBED‹ò&Ð895îï ·Ï‚RWЂN^DgTWTWЋRWT :WP‚DMÏÀRWÐ8΋RS.C2ø×Ã.CT€.CÑAЋӂ: Z:Q4E25D&T›Õb.TW:QD&R
:WP¹.9Ð89Áî ςRQÐ3N…D&TWTQÐ8RWTj>
©!
©†
¬LKÆ
#
F
F
I#
II
#
I
I
‚
¶Mlsb\^abatnod8
‡1† † ”j†
”
›`bem^\^sbsbej`bs
\^m^k8atnoejd » noc\
Ocs
ƒ’
ƒ&†† † ‡† „ ‡ ƒ „ ƒ „
ƒ&” ‡ ’ ƒ…” ’ j’ ” ’ ƒS‡ j’ „j„
’‡
”’ƒ&” ’’ †j† ‡ ”„ ƒ ’ ” ‡’
ƒ ”
ƒ ‡1” ƒ ƒS‡ „†j†
‡
lCaW_&atnosbatnom lCaW_&atnosbatnomi_…yok8\
v_&m^`bejsbs]8`bem^\^sbsbe`bs
c\&_gdâ¶Ml Ocs
„† ‡1„ ’ ”†
sbab ‰ ‹\^r Ocs ’ cZnod‘vc_ ?¶Ml Ocs …‘ƒ„ƒ ƒS‡ ‘ ‡8”ƒjƒ ƒ …‘ ”j„&‡ ƒ ƒ ^‘ „ j’ ” h=;_&`b\^s
†
‡† ‡„&‡
æ³8¯ Àµ 8_&c]yo\ ” `b\SsbkCyoabsMedd~hIq ¼ ‰
ÿ
ÿ
ì
÷
ÿ
ÿ
ÿ
þ
ÿþ
þ
þ
þ
þ
þ
þ
ÿ
þ ÿ
þ
ÿ
þ
þ
þ
cW
ë
÷
W
ÿ
aþ
ÿÿþ
9÷
þ
þþ
ÿ
ÿ
ÿ
W
þ
þ
ÿ
þ
þ
Z9‚D54E9;:QD&RWD&TQ:W479‚ÎÁ.TQÏADN…:тRWЋӂÎ8P;:Ћӂ:?Ñ;V:WP‚D5ÏADgRbÕvЋRW2".C9AN^DHF‚.C:S.á×Ã.CT:WP¹.::WP‚D
Î8R^.479‚TQ4 gD"Ò8.CRW47DFF;R^.2".C:W4ON&.CBEB7VK.CRWЋӂ9AFÁ:QP‚D¿25D.9/>æUMP‚47TN&.9ѹD¿TWD&Dg9479Š:WPÀD"ѹÐ8:üû
Q: Ð82'Ϲ.RW:IÐ՛U€.CтB7D ‚> ÀÐ8RID^0A.2HÏÀBED‹ò×M47:QP?:QP‚D)΋RS.479‚TQ4 &DMTWD&:Q:W479‚ÎÐCÕ­þ Àò:WP‚DM΋RS.C4E9ÀTW4 &D
Ò8.CRW47D&T=ÑADg:b×+D&Dg9Kî Z2H47B7B74ETQDN^Ћ9AF;Ti.C9AFï‚> )TQDN^Ð89¹F;T>‹UMPA.:ITWÓANQPÒ8.RQ4O.:W47Ћ9|B7D.‹F;T:QÐ|ϹD&Rüû
ÕvЋRW2.9AN^DZςRWЋтB7D&2HT ×M.T Ò8D&RQ4oó¹DFÓ‚TQ4E9ÀÎ:WP‚D9‚D^0‚:ZD^0‚ÏAD&RQ472HD&9;:> ÀÐ8RM:QP‚47TMD^0‚ÏADgRW472HD&9;:
Û æ0A.2HÏÀBED ‹ß&òA.C9‚Ð8:QP‚D&Rӂ9AN…Ð8B7Ð8R^.тB7D΋RS.ÏÀP¿×Ã.CT)ӂTQDF›> æ47Î8ÓÀRWD "F3D&ς4ON^:WT:QP‚D?ϹD&RüÕvÐ8Rüû
2.9AN^DӂTQ479‚ÎH:QP‚D MÏADgRbÕvЋRW2".C9AN^D?.C9A.B7V;TW47TM:QÐ~ЋBi.CTWTWЂN^4O.C:WDFá×M47:WP PA.RQ2K>
UMP‚DáςB7Ð8:TWPÀÐ×MT":QP‚D¿Ï¹D&RSN…D&9;:¿Ó‚:W47B74 .:Q47Ð89.8N^RQÐ8TQT ςRWЂN^DgTWTWЋRWTK.CTH47:HÒ8.CRW47D&T5ÐÒ8D&R
:Q4E25D8> Z9‚D?Ng.9TWD&D:QPA.:M:QP‚Dӂ:W47B74 .:Q4EЋ9TW:^.RW:QT):QÐâF;RQÐ8Ï5ÕvRQÐ829‚Dj.RWB7V¿î ÏAD&R^N^D&9;::WÐ
TQӂтTW:^.9;:W4O.CBEB7VB7Ð×+DgRiÒ8.CB7ӂD&T+.C:€.CÑAЋӂ: )TQDN^Ћ9AF;T 4E9;:QÐ):WPÀD|N^Ћ2Hςӂ:^.:Q4EЋ9/> ÀӂRQ:WP‚D&RID^0;û
ςB7ЋRS.:Q47Ð89Ò~4O.ú€RWÐÔ^DjN^:W47Ð89ÀT)N^Ð89;ó¹RW2HT :WP¹.: :WP‚47T 4ETMF;ӂDZ:WÐ.ÕtD&×ςRQÐ3N…D&TWTQÐ8RWTZD^0‚DN^ӂ:Q479‚Î
BO.RQÎ8DZÎ8RS.C479"N^Ћ2Hςӂ:^.:Q4EЋ9‚T :WPA.C:MRWD&2.479/> =Ò8D&9:QP‚D?.jÒ8DgRS.΋DÎ8RS.C479‚TW4 &DÐ89479AF;47Ò;4OF;ÓA.CB
ςRQЂN^D&TWTQÐ8RQT|Ò8.CRW47DF,ÑAD&:b× D&D&9î ?.C9AF¿î 2H47B7B74ETQDN^Ћ9AF;T>
ˆ!
I
#I
}L
"
0
©
¬y™ z€eža—j™ M|
I
$
I
¬!#!
ML
#
I!
Aµ Aµ ­`be"!b\^mSatnoejd8sZrjno\^¾ egfiegr\^`W_…y{yi];\^`tf§ej`bc_&d‹m^\fOe` 8_gc]yo\#¾€noabH_^r\^`W_g\j`W_^nod‹stn ^\
egf &ƒ „j” csb\Sm ‰
MTQ479‚ÎÁ:WP‚D.8F‚.Cς:W47Ò8DÎ‹RS.479‚TQ4 &D¿N^Ð89;:WRQÐ8BZ2HD&:QP‚ЂFŠF;D&T^N^RW47ѹDF¸4E9 ;DjN^:W47Ð89 ‚> Aò=:QP‚D
T^.2HD ςRQÐ8Î8R^.2½×M.TRQӂ9".CÎ~.479/>CUMP‚47TB7DF:WÐ.TWÓÀтTW:^.9;:W4O.B¹RWDjF;ÓAN^:Q4EЋ9H479:WPÀD)Ò8.RQ4O.9AN^D
ÐCÕÃ΋RS.479‚TQ4 &DH.9AFN^Ћ9‚TWD ‹Ó‚Dg9~:QB7VÁ4E25ςRWÐҋDF:QP‚DÏADgRbÕvЋRW2".C9AN^D8>­UMP‚DHú=RWÐjÔ^DN^:Q4EЋ9‚Tӂ:W4 û
B74 .:Q47Ð89479 æ47Î8ÓÀRWD|þ,47BEB7ӂTQ:WR^.:WDgT):WPÀ4ETZÎ~.C4E9æ>‚UMP‚Dӂ:W47B74 .:Q47Ð8947T)TWDgD&9K:QÐHRQD&2".C4E9¿N^B7ЋTWD
:QÐî ϹD&R^N^D&9;:¿.B72HЋTW::QÐÁ:WP‚D¿Dg9AFÐÕ:QP‚D¿D&9;:W47RQDKN^Ð825ςӂ:^.:W47Ћ9/òi.C9AF:QP‚D¿ÐÒ8DgRS.B7B
N^Ћ2HςÓÀ:S.:Q47Ð89:W4725D)F;DN^RQD.TQD&TÑ;VH.ѹÐ8ӂ:îjþÏADgRSN^D&9;:j>
æ47Î8ӂRQD TWÓÀ2H2".CRW4 &D&TM:QP‚DÏA.R^.B7B7D&B/TQÏAD&DjF;ӂςTЋт:S.C479‚DFÐ‹9¿:WP‚D9 ZG ‹ï‚ò¹9‚ЋRbû
Š9‹œŒ
0ì
÷
†
W
è
¨
±!
­
I
R
©†
¬L[Æ
¹"µ $Àµ ­`b"e !b\^mSatnoejd8s
rjno\S¾Öe&f e&r\^`W_…y{yÃ];\^`tfOe`bc_gd8m^\fOe` 8_gc]yo\%&
OsbaW_gm c\^ab8e'¾=noab
_^rj\^`W_&j\)j`W_^nod‹stn ^\|egf ƒ&† Zcsb\^m ‰
Š9‹>Œ
Þì
÷
W
ø
è
2".CB74 gDFZ:WÐ( Úî MςRQЂN^D&TWTQÐ8RQT>‹UMP‚D+TQÏADgDF;ӂςT€ÕvÐ8R æ0A.2HÏÀBEDgT M.9AF *ÛvѹÐ8:QP?ÐCÕ3×MPÀ4§NQP
F;Ð9‚Ð8:MP¹.jÒ8D|.*Ò8.B74OFN^Ð8B7Ð8RQ479‚Î~ß .RQD|N^B7Ð8TQD:WÐBE479‚Dj.R>;ùMЋ:WD:WP¹.: :WP‚DTWϹD&DF3ӂϿѹD&:b×+DgD&9
8ï.9¹F ?ÏÀRWЂN^D&TQTWÐ8RQTZÕvÐ8R æ0A.25ςB7D Ût×MP‚4ONWP¿F;Ð;D&TMP¹.jÒ8D|.TQÐ8B7ӂ:Q4EЋ9Aß=47TMTWÓÀÏAD&RQB74E9ÀD.Rj>
Y)T :WPÀDM9~ÓÀ2ÑAD&RIÐ՛ςRWЂN^D&TQTWЋRWTM47T479AN^RQD.TQDF›ò;47:47TB74768D&B7V:WPA.C:Ð89ÀD)ςRQÐ3N…D&TWTQÐ8R 2".jVς4ONQ6
.59‚ЂF;D:WÐHD…03Ϲ.9AFá:WPA.C: 8ÓÀ4§NQ6;B7VBEDj.8F;T:WЏ.5TWÐ8B7ӂ:Q47Ð89/>ÀUMP‚47T|9ÀÐ3F3D?2.jVHѹD?D^0‚Ï‚B7ЋRWDF
ѹD^ÕvÐ8RQDH:QP‚DH9‚ЂF;DgT:Wп47:WT
BED…Õv:?.RQDH2.8F;D.jÒ8.47BO.тB7DÑ;V:WP‚D5ςRW47ЋRW47:W4 &DFB7Ð;.8FÑA.CB§.C9ANQû
479‚ÎTW:WR^.:QD&Î8V;>;UMP‚DςRW47ЋRW47:W4 .C:W47Ð89T^NWPÀD&2HDF;Ð;D&TM9‚Ћ:+ÏÀRWDN^B7ÓAF3DTWÓANQPTWÓÀÏAD&RQB74E9ÀD.RQ4E:bV;> b:
F;Ð;D&TP‚Ð× D&ҋD&RD&9‚TQӂRWD:QPA.:Ð8ӂ:üû“ÐCÕOûbςRW47Ð8RQ47:bV8ûbÐ8R^F;D&RD^0‚DN^ÓÀ:W47Ð89 4ETѹÐ8ӂ9AF3DF›òæ2HD.C9‚479‚Î
:WP¹.:MTWÓÀтTW:^.9;:W4O.B7B7VTWÓÀтB74E9ÀD.RMTQÏAD&DjF;ӂςT.RQDӂ9‚B74768D&B7V;>
UMP‚DZÏADgRbÕvЋRW2".C9AN^D)F‚.C:S.47B7B7ӂTW:QRS.C:WD&T :WPA.C:+F;D&TQς47:WD:WPÀD)TWЋ2HD&×MP¹.:+N^Ћ2HςB7D^0P‚D&ӂRQ4ETüû
:W4ON^TZÛv479:QPA.: :WP‚DgVâN^Ћ2HςB74ON&.C:WD :WP‚DZÏA.R^.B7B7D&B74 j.:W47Ћ9Aß&òjÐ8ÓÀRÃ.CBE΋Ð8RQ4E:QP‚2'47T+.CтB7DM:WÐЋт:S.C479
Î8Ð;ЂF5TWϹD&DF;ÓÀςTÐ89HTQPA.RQDF25D&2HЋRWV.TM× D&B7B/.TMςRQ4EÒ8.C:WDZ2HD&25Ð8RWV2".‹NQP‚479‚D&T>
) ÃË
='È * iÆZ,
Ê +Í ;Ì›Ë ;ÍQÉÆ
ÁD ςRWD&TQD&9;:WDF.ZÏA.CRS.B7B7D&B;Î8R^.ςPHN…Ð8B7Ð8RQ4E9ÀÎ|.B7΋Ð8RW47:QP‚2'.9AF
47:WTϹÐ8RQ:S.CтB7D+ÏA.CRS.CBEB7D&B;472HÏÀBED…û
2HDg9~:^.:Q4EЋ9/>UMP‚D.B7Î8ЋRW47:WPÀ2'47T=ÕvЋRW2ӂBO.:QDF.TM.TW:^.:WD…û“TQÏA.8N^DTQD.R^NWPÑA.CTWDF,Ð895P‚D&ӂRQ4ETüû
:W4ON^Tj>=UMP‚47T?Dg9A.тB7D&T:QP‚D".CB7Î8Ð8RQ47:WP‚2ä:WÐD&47:WP‚D&RÏÀRWЂF;ÓAN^D¿.¿N…Ð8B7Ð8RQ4E9ÀοÐ8R:WÐD&Ò8Dg9~:QÓA.B7B7V
RWDgÏAЋRW:¿:QPA.:59‚Ð N^ЋB7Ð8RW479‚ÎÁ47T5ÏAЋTWTW47тB7D8>MJ·D&ӂRW47TQ:W4ON^T¿TQÓANQP .CTHςRQD^ûüN…Ð8B7Ð8RQ4E9ÀÎAò RWDN…Ó‚RWTQ4EҋD
9‚ЂF;DRWD&25ÐÒ8.Bbò;.9AFÒ8.CRW4O.ÑÀBEDZÐ8R^F;D&RW479‚ÎáÛv4b> D8>‚TQD&B7DN^:Q4EЋ9KÐCÕ:WP‚D2HЋTW:MN^Ð89‚TQ:WR^.479‚DFáÒ8D&Rüû
:WD…0Š:WÐKN^ЋB7Ð8RSß*×+D&RQDH472HÏÀBEDg2HD&9;:WDjF:WпRQDF;ÓAN…D":QP‚DHTQ4 &DHÐCÕ):WP‚D5TW:S.C:WD5TWÏA.‹N^D8>=YÒ8.CBEÓÀD
!
$
9L
©L
0
"
ˆ
"
M
,
ˆ¾
¾À/
À/
6
+6F6
u
Example 7
Example 8
Example 9
14
Normalized Speedup (16 procs)
12
10
-
8
6
4
2
0
0
20
40
60
80
Number of Processors
Aµ/.‚µ›lk‹c|c_g`bu?egf›]~_g`W_^y{yo\Qyisb];\^\^8k‹]8sMejd?d;hq ¼
Š9‹œŒ
0
9÷
þ
100
120
140
‰
ЋRSF;D&RQ479‚Î?PÀD&ӂRW47TQ:W4ON:WP¹.:)NQP‚Ð;Ð8TQD&T):QP‚DBEDj.TW:)N…Ð89‚TQ:WRS.C479‚479‚ÎâN…Ð8B7Ð8RM:QÐÕvЂN^ÓÀT)Ð89,óARWTQ:)×M.T
.CBETQÐ472HςB7D&25D&9;:WDF›ò‚.C9AFTQӂςϹÐ8RW:QDFӂTQ4E9ÀÎHт47:bûbÒ8DjN^:WЋR|ÏÀRW47Ð8RQ4E:Q47D&T>ÀY)9‚Ћ:WP‚D&RN^Ð89;:WRQ47тÓ;û
:Q4EЋ9?ÐCÕA:WPÀ4ETIRWD&TQD.R^NWP547Ti:QP‚DMÏA.CRS.B7B7D&B74 .:Q47Ð89ÐCÕ­.ZÎ8R^.ςPÏA.CRW:W47:Q4EЋ9‚479‚Î)PÀD&ӂRW47TQ:W4ONò‹×MP‚4ONWP
PA.CTM:WP‚D
ÏAЋ:WD&9;:W4O.CB¹ÕvÐ8RMRQDF;ÓAN^479‚Î:QP‚DTQD.R^NWPáTWÏA.‹N^D?F;R^.2".C:W4ON&.CBEB7V;>UMP‚D479AN^ЋRWϹÐ8RS.C:W47Ð89
ÐCÕ/:WP‚47T P‚D&ӂRQ4ETQ:W4ONM:QӂRW9ÀTM:WP‚DZTWD.CRSNQP:WRWDgD|479;:WÐ.9Yù)X L:QRWD&D‹>‚Y TSNQP‚D&25DMÕvЋR+N^Ð;Ð8Rüû
F;479A.C:W479‚Î:WP‚DD^0‚Ï‚B7ЋRS.:Q47Ð89ÐÕ=:WP‚47TMY|ùZX L :WRQD&D×MP‚47B7DTW:W47B7B›2".C479~:^.479‚479‚ÎZ:WP‚DÕtÐ3N…Ó‚T
Ò;4O.ςRQ4EЋRW47:W47D&TM×M.TMÏÀRWD&TQD&9;:WDF›>¹Y ÕvÓÀRW:WPÀD&R)N^Ð89;:QRW47тӂ:Q4EЋ9ÐÕi:QP‚47T+Ϲ.ϹD&R)47T :WP‚D?.CςςB74ON&.jû
:Q4EЋ9ÐÕ:WP‚D.8FÀ.ς:Q4EҋDÎ8RS.C479‚TW4 &D?N…Ð89;:WRQÐ8B=2HD&:QP‚ЂF›ò;×MP‚4ONQP¿×M.T|F3D&2HЋ9‚TW:QRS.:QDF:QÐHB7D.8F
:QÐ?TQ4E΋9‚4 óxN&.C9~:MϹD&RüÕvÐ8RQ2".9¹N^D4E25ςRWÐҋD&2D&9;:WTj>
ÁD.RWD9‚Ћ:*.j×M.RQD?ÐCÕÃ.9;V¿Ð‹:WP‚DgR|Ϲ.RS.CB7BEDgBiTQ:S.C:WD^ûbTWÏA.‹N^DHTQD.R^NQPŠ.B7Î8ЋRW47:WP‚24725ςB7D^û
25D&9;:WDFâÕvÐ8R Î8R^.ςPN^Ð8B7Ð8RQ479‚Î?×MPÀ4§NQP5ӂTWD&TZςRW47ЋRW47:W4 .C:W47Ð89:QÐ?Ћт:S.C4E95TWϹD&DF;ÓÀςT:WPA.C:Ã.CRWD
N^Ћ9‚TW47TQ:WD&9;:ÕvRQÐ82RQӂ9K:QЏRWӂ9Š.C9AF2HЋ9‚Ð8:QÐ89‚4ON&.CB7BEV479AN…RWD.CTWD×M47:WPÁ.8F‚F34E:Q47Ð89A.CB/ςRQÐ3N…D&Tbû
TQÐ8RWTj>‹Û ÀÐ8R/D…0À.C2HςB7D8òý gÿ‚Ï‚RQD&TWD&9;:QT€.C9?.TQV;9ANQP‚RWЋ9‚Ð8ӂT=ÏA.CRS.CBEB7D&B;.B7Î8ЋRW47:WPÀ2:WPA.C:/ςRQЂF;ÓAN^D&T
.5N^Ð8B7Ð8RQ479‚ÎHÐCÕÃ.5Î847Ò8D&9áÎ8RS.CςP/ò›.47254E9ÀÎâ.C:|ÓÀTW479‚ÎÕtD&× N^ЋB7Ð8RWTjò¹Ñ‚Ó‚:×M47:WP‚Ћӂ:.9;VÎ8ÓA.CRbû
.C9~:QD&D:WPA.C:):WPÀD?9;ӂ2ѹD&R)ÐCÕÃN^ЋBEЋRWTӂTQDF¿47TZ:WP‚DTW2.B7B7D&TW:ZÏAЋTWTW47тB7D8>{ß b:|47TZÏAЋTWTW47тB7D:WÐ
ÕvÓÀRW:WPÀD&RD&9‚P¹.9AN^D:QP‚DϹD&RbÕvЋRW2.9AN^DÐÕMÐ8ÓÀR*.CB7Î8Ð8RQ47:WP‚2> b9ÁÏA.RQ:W4ON^ӂBO.Rjò¹:WP‚DÒ8.CBEÓÀD?ЋRbû
F;DgRW479‚ÎÛtÐ8R+N^ЋB7Ð8RTQD&B7DN^:W47Ћ9Aß P‚D&ӂRQ47TW:W4ONZN&.9ѹDMÕvÓÀRW:WPÀD&R+RQD^óA9‚DjFH:QÐ &D&RQÐ?479Ћ9TWÐ8B7ӂ:Q47Ð89‚T
Փ.CTW:QD&R>ÀY)B7TWйò;4E: 47TMÏAЋTWTQ4EÑÀBED:QÐςӂRWTQӂDÏA.CRW:Q4E:Q47Ð89‚479‚ÎÐÕ=Î8RS.CςP‚TM25Ð8RWD.΋Î8RWDgTWTW47ҋD&B7VHÑ;V
25Ð3F34oÕtV~479‚ÎM:QP‚D)Ò8.CB7ӂDMÐ8R^F;D&RW479‚Î
P‚D&ӂRQ4ETQ:W4ONM:QÐâ.C472 .: N^Ð8B7Ð8RQ479‚Î:WPÀÐ8TWDZÒ8D&RQ:W4ON^D&TM:QPA.:I×M4EB7B
P‚DgBEÏϹ.RW:Q47:W47Ð89:QP‚DÎ8RS.CςP TWÓ¹NWP.T :WP‚D.RQ:W4ON^ӂBO.:Q47Ð89ϹÐ8479;:WT> Z9‚DN^Ð8ÓÀB§F5.B7TWÐ
4§F3D&9;û
:Q4oÕtV".25479‚472?ӂ2N^ÓÀ:|:QP‚RWЋӂÎ8Pá:WP‚DÎ8R^.ςP/ò¹.9AFáF;DN^4OF;D:QÐ"N^ЋBEЋR):QP‚DÒ8DgRW:W4ON^DgTÐ89¿:QP‚D
AÆI
AÆI
u
a
ã
M
"
N
M
N^ӂ:·óARWTQ:ÛvЋR+΋4EҋD):QP‚D&2 P‚47Î8P‚D&RMÏÀRW47Ð8RQ4E:bV;òRQ4E΋P;:).jÕv:QD&R+:QP‚DZÕvÐ8R^N^DF25ÐÒ8DFÀß&ò479HЋRSF;DgRM:WÐ
ÕvЋRSN^D.HϹ.RW:Q47:W47Ð89‚479‚ι> tÕÃ:QP‚D"N^ÓÀ:×+DgRWD".N^B74 ‹Ó‚D8ò›Ð‹9‚DHN^ЋӂBOFÁ.HRQD&TWÓÀBE:ӂTQDFÁ479ý ïgÿ :WÐ
.jÒ8Ћ4OFK.C9~VáÑA.8NQ6;:WR^.8NQ6;4E9ÀÎ"TQD.R^NQPÁÕvЋR?N^Ð8B7ЋRW479‚ÎH:QP‚DHҋD&RW:Q4ON^D&TÐ89:WP‚DN^ӂ:47:WTQD&B ÕS> 47:QP
TWÓ¹NWP¸D&9‚PA.C9AN^D&25D&9;:WTòI×+DáD^0‚ÏADN…:H:WPÀ4ETH.CB7Î8Ð8RQ47:WP‚2ö:QÐÁÑADÐ‹9‚D¿ÐÕ:WP‚DáÑAD&TQ:H25D&:WP‚ЂF;T
ÕvЋR|΋RS.CςPKN^ЋBEЋRW479‚ιòATQЏ:WPA.C:)47:N&.9ÑADӂTQDF479K.ςÏÀBE4ON&.C:W47Ð89ÀT)479AN^B7ÓAF;479‚Î5TSNQP‚DF3ӂB74E9ÀÎAò
RWDgÎ847TW:QD&R|.CBEB7ЂN&.C:W47Ð89/ò;.9¹FHB7479‚D.CR+TQV;TW:WDg2HTMTWЋB7Ò~479‚ι>
UMP‚D Û ‚Dj.TW47т47B747:bV ~ß
ÕvЋRW2ӂBO.:Q47Ð9ŠÏ‚Ó‚RQTWӂDjF 4E9¸:WP‚47THϹ.ϹD&RK.4725Tâ.C:Hó¹9AF;479‚Î .
6‹ûüN…Ð8B7Ð8RQ4E9ÀÎÕvЋR).Î847Ò8Dg9"΋RS.CςP/ò‹ÕvЋR).Î847Ò8D&9æò‹ó‚0‚DF›ò‚Ò8.CB7ӂDÐÕi6›>ÀY)9¿.B7:WDgRW9A.C:WDÛ Zς:W4 û
2".CB74E:bV ;ß;ÕvЋRW2ӂBO.C:W47Ð89 ÕvЋӂ9AFÐCÕv:WDg9479B74E:QD&RS.C:WӂRQDRWD 8ÓÀ4ERQD&TЋ9‚D:WзóA9AF.M6‹ûWN^Ð8B7Ð8RQ479‚Î ÕvÐ8R
.Î847ҋD&9Î8RS.CςP/ò;×M47:WP:QP‚DTW2".CB7BEDgTW: ÏAЋTWTW47тB7DÒ8.B7ӂDÐCÕi6›>‚UMP‚DZÕvDj.TW47т47B747:bVÕtÐ8RW2ÓÀB§.C:W47Ð89
47T)ӂTQD^ÕvӂB=479RWD&΋47TW:WDgR*.CB7BEЂN&.C:W47Ð89æò8×MP‚DgRWD:WP‚D9;ӂ2ѹD&RMÐCՀRQD&Î847TQ:WD&RQT|47T·ó‚0‚DF›>AJ·Ð×+DgÒ8D&Rjò
×MP‚D&9:WPÀDÐ8ς:Q4E2.B747:bVÕtÐ8RW2ÓÀB§.C:W47Ð8947TRWD 8ÓÀ4ERQDF›ò›Ð‹Ó‚R|.CB7Î8Ð8RQ47:WP‚2N&.9ѹD?25Ð3F34oó¹DF5:WÐ
Ð8ÑÀ:S.479:QP‚DTW2".CB7BEDgTW:bûb6?N^ЋB7Ð8RW479‚ιò8.TIÕvЋBEB7Ð×MTjØU=ÐÑADgÎ8479H×M47:WPæò8TQD&:+6:QÐ?Ћ9‚D)25Ð8RQD+:QPA.9
:WPÀDâF;DgÎ8RWDgD?ÐCÕ+:WP‚D
P‚47Î8P‚D&TQ:|F;DgÎ8RWDgDÒ8D&RQ:WD^0K479:WPÀD?΋RS.ÏÀP/> b9¿Dj.8NQP¿47:WD&R^.:Q4EЋ9/ò‚RQӂ9:WP‚D
ÕvD.CTW47т47B747:bVK.B7Î8ЋRW47:WPÀ2K> tÕ|.6ÁN^Ð8B7Ð8RQ479‚ο47TÕvЋӂ9AF›ò=F;DN^RQD&2HDg9~:6Á.9AF TW:S.CRW::WP‚D59‚D^0‚:
47:WD&R^.:Q4EЋ9/>æUMP‚D"N^ЋB7Ð8RW479‚Î5ÕvЋӂ9AF ÑAD^ÕtÐ8RWD5:WP‚D,óA9A.CB+ӂ9ÀTWÓAN&N…D&TWTüÕvӂB)47:QD&RS.C:W47Ð89Á47T:WP‚D5Ð8Ï;û
:W4ON&.CB+N^ЋBEЋRW479‚ι>AU=ЏTWϹD&DF :WP‚D5TWD.CRSNQPÕvӂRQ:WP‚DgRòæ2ӂB7:W47ςB7D?N^Ћ9‚TWDN…Ó‚:W47Ò8D547:WD&R^.:W47Ћ9‚TN&.9
ѹDÐÒ8D&RQB§.CςϹDF¿479K.5ςRQ47Ð8RW47:Q4 gDF¿2.9‚9ÀD&R)ӂTQ479‚Î".5TSNQP‚Dg2HDF;D&Ò8DgBEЋÏADjF¿47:ZÕvÐ8RZÏA.R^.B7B7D&B
47:WD&R^.:Q4EЋ9;ûbÐÒ8D&RQB§.CςϹDF WXMY 1Ký7î gÿü>­Y)T25D&9;:W47Ð89‚DjF¿D.CRWB747D&Rò­:WP‚D.B7Î8ЋRW47:WP‚2 ó¹9AF;T?.6‹û
N^ЋBEЋRW479‚ÎRS.C:WP‚DgR ‹Ó‚4ONW6;B7V×MP‚Dg9Ð89‚D D^0‚47TW:WTj> 3ÐAò:QP‚DMÏA.R^.B7B7D&B;ςRWÐ× D&TQTÐ՛:WP‚D).CB7Î8Ð8RQ47:WP‚2
N&.C9ÑAD)F;Dg2HÐ89ÀTW:WR^.:QDF2".C4E9ÀBEVZÐ899‚Ð896‹ûWN^Ð8B7ЋRS.ÑÀBEDIÎ8RS.CςP‚Tj>8UMP‚DMЋς:W472.B747:bV ÕvÐ8RQ2ӂBO.jû
:W47Ћ9"RQD ‹Ó‚47RWD&T.: B7D.TQ:MÐ89‚D9‚Ћ9;ûüN…Ð8B7Ð8R^.тB7D)TQD.R^NQP/ò¹×MP‚D&RWD
:WP‚D.B7΋Ð8RW47:QP‚2½4ETM:QP‚D&RQD^ÕvÐ8RQD
‹Ó‚47:WDӂTQD^ÕvӂBb> b9Á.8FÀF;47:W47Ð89/ò¹ÐCÕ·N^ЋӂRWTQD8òæÎ8RS.CςP‚T:QPA.:.CRWDHN^ЋBEЋRS.CтB7D8ò¹Ñ‚Ó‚:?.CRWDPA.CRSFá:WÐ
óA9AF.N^ЋB7Ð8RW479‚Î
ÕvЋRò‚.RQD.B7TWÐ΋Ð~ЂF,:S.RQÎ8D&:QTMÕvЋR+ЋӂR).B7΋Ð8RW47:QP‚2K>
UMP‚DM΋RS.CςPâN…Ð8B7Ð8RQ4E9ÀÎ|ÏÀRWÐ8΋RS.C2'×MRW47:Q:WD&9479 PA.RQ2Kò.B7Ð89ÀÎ|×M47:QP?:QP‚DMRS.C9AF;Ð82ÖÎ8R^.ςP
Î8Dg9‚D&RS.C:W47Ð89ÁÏÀRWÐ8΋RS.C2.9¹FÑAD&9¹NWPÀ2".RQ6;Tò›47T?.jÒ8.C4EBO.CтB7D|Ћ9Á:WP‚D× Ð8RQBOF‹û“×M4OF;D× D&ÑÕvRWЋ2
243'365879'9;:2=<?>?@8AB:'CDAFEGEH:DABIKJ?E >
Y
>
8u
)Z
M\
ZX
M\
Y
¥
!
¬
F
8
L
/È /Æ)Ì
ƒj‰ [ ‰3¼ `?\QM yE_ ‰ I\^¾Šc\^ab8e8sMabem^egyoe`Mab‹\Mr\^`batnom^\^sMe&fi_j`W_g]8 ‰#NOKPPRQ6S'TVUWKXTYOKS?Z[O\8X^]'_
` NHa p Kb ƒ c ’Cp ƒ ‰
‰ ›`b\^sbabejd ¼ `tnojs^p[d \QnoabH[ ‰ h=eej]~\^`^p_&d‹Š;nod‹~_ » e`bm ^ejd ‰ wvc]8`begr\^c\^dabs?abej`W_&]‹
m^e&yoej`tnod8`b\^gnosbab\S`_…y{yoem&_&atnoejd ‰ ` NHafe6gFWKS?ZBWKU"XTVOKS?ZROKShigFOjKgFWKPRPTYSKjk4WKSljmQ6W"jK_/ZRWKS'n
o4p Z/X_"PqZ p ƒ m’ „ b ‡ ”c1‡ p=_^u ƒ ‡‹‰
„C‰ ‰ h=~_gcs^p8Ž '‰ r \^`ba jp~_gd8[ ‰ 8\ ˆ \^`b`W_ ‰ lCec\M\ ];\S`tnoc\^dabs ¾=noab?stnocZkyE_gab\^"_gd8d8\&_…y{‘
nod8ìf§ej`m^egyoe`tnod‹Kj`W_&]‹8s t
p
]~_gj\Ss j’ † c j’j’p ƒ ” ‰ ‰ siQ?guO vw_ WKSyxKOKQ?gS'WziO\&{;vw_"gFWKXTVOKS'Wz|D_/ZB_ WKguU]?}~wOz€‚KƒK}8„
‡‹‰+»M‰ ‰ h=e&yo\^c_gd"_gd8† … ‰ … ‰ e?` \ M ‰ sbatnoc_gatnoedáe&f=sb]~_g`bsb\ …_&m^ej}nE_gdc*_gab`tnom^\^s)_&d‹Hj`W_&]‹
m^e&yoej`tnod8]8`bej}yo\^cs ‰ o6‡` aˆxKOKQ?gS'Wz4OKSЉ‹Q?PR_"g TYU Wz ` S'Wz p Z/T€Z p † b ƒ&” c † Cp ƒ ”„C‰
‰ ‰ ŒÃ‰ ¶M_g`b\Su_gd8[ ‰ l ‰ …&e‹d8sbejd R‰ NOKPv=Q6X_"gŽZWKSwn ‡ S'XgFWKU"XWK‘T€z€TVX p ‰~ˆ ‰ r·‰ ‹`b\^\^c*_gd‚p I\^¾
/ej` ;p ƒ ‰
’ ‹‰ Œ 4‰ r _…yosbab\&_& ‰ ›_g`W_…y{yo\Wy/sbucZ};e&y{nomm^ejc]8k8atnod‹ ‰ ‡ s0ss’NOKPDv=Q6X_"g p8];_&j\^s „ c1‡„ p‚Ž k8jk8sba
ƒ”’‰
‰ Ž w‰ r \^`ba +_gd8[ ‰ ‹\ ˆ \^`b`W_ ‰ qstnod‹)aW_g}8ksb\&_&`bmQab\^mW‹dn k8\^s=fOej`/j`W_&]‹m^e&yoej`tnod8 ‰ N“OKPq”
v=Q6XTYSKj}‚~wOz€;6•}„ p8]~_gj\Ss „g‡ cC„ ƒ p ƒ ” ‰
*8ú *
1*
8*36
è
õ
þ
Åþþ þÿ
þÿ
ì
è
þ
ÿÿ
}è
©þ
W
þ
ý
ˆ÷
þ
ÿ
þ
ý
Iõ
}ø
ì
ÿ
}è
ö
ÿ
ÿ
”‰ _&o ` »Mo ‰ …&ejd8\^s_&d‹ ›_&kCy p €‰ ¹yE _gb ’sbsbc*_g’d8’d C‰ p=ŽÁ_^]~u _g`W_^y{yo \Qy›`W_g]8m^e&yoej`tnod8
8\^k8`tnosbatnom ‰ om‡` a
xK U"TV XWKXT^ZBXNOKPDv=Q6X ƒ^‡ „ ‡"c
ƒ „C‰
‰ ‰ »M‰ …&ed‹\^s)_&d‹ ‰ =‰ xyE_&sbsbc_gd8d ‰ lm&_…yE_&}Cyo\noab\^`W_&atnorj\sbegyok8atnoejdKegfsb]~_g`bsb\)y{nod‹\&_&`sbust‘
ab\^c|s –‰ hiWKgFWzYz€_z“NOKPv=Q6XTVSKj p † b /„ c „ p ƒ ‡‹‰
ƒ&†8‰ Œ ‰ d ‰ 0¶ !“\^`babsb\^d …&` ‰ ›_g`W_…y{yo\Wy;`W_g]8Zm^e&yoej`tnod8M‹\Sk‹`tnosbatnom^s ‰i» \^mW‹dnom&_…y8`b\S];ej`ba^pqdCnor\^`bstnoatu)egf
wOy{y{nod‹e&n7s)_&aqI`b}~_gd~_…‘“h=;_&c]~_…nojd‚p ƒ ‡8‰ _&sbab\^/` — s » ‹\^stnos^p3[I\^]8a ‰ egf­h€ec]8k‹ab\^`€lCm^\Wnod‹m^\ ‰
ƒjƒ‰  ‰ ‰ dM_…yo\ ‰›» ‹\+‡ h=;_&`b[\ d \^`bd‹\Wy‚];_&`W_…y{yo\QyA]8`bej`W_gccZnod8ZyE_&d‹k;_&j\)_gd8p8rjsbeguyok8sbabc\^c\)wb‰ wQwvp‚d ]~hi_ggF\^Os ”
U_ _nKTVSKjZ‹O\X€]'_ S'X_"g S'WKXTVOKSwW‘zNOKSB\/_"gF_"S'U_OKShiWKgFWzYz€_z4higFO"U_ZZBTVSKj
ƒ c Cp ƒ †‰
d d k‹c*_g`^p ‰ l ‰ ¶ ej];e&yE_ `tnosb8d;_jd‚p
ƒ ‰ _&d‹‰ ?‰  dM_…yo\ dM‰ _g›d~_…_gyO`Wp8_^\^y{yo\Qnoyabej]8`b`bs^ejp }yo\^cösbegyorj` nod8 ‰ wtd Ino]no˜
‰ ‰
hiWKgFWzVz€_/z z jKOKgTVX€]'PqZw\/OKg0a™WKU]'TVS'_ ‡ SwX_/zVz€T jm_"S'U_iWKS'n~“T^ZBTVOKS p
]~_g\^s ƒS‡ ’ c~ƒ&”ƒj‰ l]‹`tnod8j\^`tu‘ /\^`tyE_g8p ƒ ” ‰
ƒ&„‰ sb u‰ c)‰};egdMy{no_…myo\jm^p e¼Ic4‰ ]8Œ k‹at_&noc d8 k‹c*_g`^=p ‰ l‹_^yo\^abej`b\p/_gd8Ž ‰ ¼I‰ oljnod‹~_ ‰ pl› `tnoej`tb noatn …_gatnoejp d¿no d]~_g`W_…y{yo\Wy
[‰ k4_ U"XQ6gF_8‰8OKX_/Z‚TYS&NOKPv=Q6X_"g U‘TY_‘SwU _ ‡” ƒ c1‡‹ƒ ƒ „C‰
ƒ^‡8‰ ¶ ‰ … ‰ ;n)_&d‹ ¼I‰ ˆŠ‰=ˆ _g ‰ h=ej]nod8¾=noabÁ_&d‹ec_…y{no\^snodÁ]~_g`W_…y{yo\Wy)}‹`W_&d‹mWC‘“_&d‹‘v};ejk8d‹
_^yojej`tnoab8cs ‰ wt™d ‡ s0ss˜e6gFWKS?ZBWKU"XTYOKS?ZOKS&NOKPDv=Q?X_"gZ p]~_g\^s ’ /” c „ p …&k8d‹\ ƒ ” ’ ‰
ƒ 8‰ Œ ‰ ¶ ‰ \Wyo‹\^c'_&d‹# ‰ l 6‰ Œ _gc_&`W_ge ‰ kyoatnom^e&yoej`M`b\^e`b‹\^`tnod8jse&f›sb]~_g`bsb\ c*_gab`tnom^\^s`b\^sbkyoat‘
nod8IfO`bec no`b`b\SjkyE_g`/j`tno8s ‰ ` NHaše?guWKS?Z/WKU"XTVOKS?Z=OKS8aWKX€]'_"PWKXTVUWz o O\BX›WKgu_ p ƒS‡ b ƒjƒ c;ƒ…„j” p
ƒ ”j”‰
ƒ ’ 8‰ œZw‰ œ `b\ ‰ e']'_žOKQ?g”/NOz€OKgDhigFOK/z€_"P·‰ Ž m&_&‹\^c)nom ›`b\^sbs^p \^¾Ÿ/ej` ;p ƒ j’ ‰
ƒ ‰ … ‰ ‰ œ `bab\S_ ‰ œ `b‹\^`tnod8jsfOe`Mm^ej"d !bk8_&ab\j`W_&Cno\Sda
]8`b\^m^ed‹noatnoejdnod;s ‰ o6‡` a xKOKQ?gS'Wz
OKS&{4v=XTYPT¢¡"WKXTVOKS p ƒ b j’ c ” p ƒ ƒj‰
ƒ&”‰ h ‰ ¹ejcc|\^`b\Qy{yOp ‰ Ž d8d~_g`W_gabed‹\p/_gd8 ˆŠ‰ ÀnomQabd8\^` ‰ Žsb\^a+egfid‹\S¾c_g]8]nod‹"_gd85mSegy{‘
e`tnod‹8\^k8`tnosbatnom^sIf§ej`=nosbab`tno}‹k8ab\^‘vc\^ce`bu]~_g`W_…y{yo\Wy/]‹`bem^\Ssbsbej`bs ‰ o6‡` a£xKOKQ6g S'WzwOKS o U‘T€”
_"S'XT ¤DU8WKSwn o XWKXT^ZBXTVUW‘z=NOKPv=Q6XTVSKj p ƒ…„ b ƒ "‡ c j’Cp ƒ ‰
ƒ ‰M¼Iž‰ Œ nomQ~_g`b8s ‰ ›_&`W_…y{yo\Qyij`W_&]‹Hm^e&yoej`tnod8¾=noabHh=;_&`bc ‰» \^mW‹dnom&_…yi`b\^];e`ba^p‚qdCnor\^`bstnoatuHegf
wOy{y{nod‹e&n7s)_&aqI`b}~_gd~_…‘“h=;_&c]~_…nojd‚p ƒ ‡8‰ _&sbab\^/` — s » ‹\^stnos^p3[I\^]8a ‰ egf­h€ec]8k‹ab\^`€lCmQno\Sd‹m^\ ‰
†‰ sbaW‰_&abl8\Q_…‘vyosb\S];ab_&ejm^`b\Z\+_gsb\…d8_g`bmW  ‰ wt‰ d dM_…yo\ ‰ h=ejd8stnosbab\^da›y{nod‹\…`[_g`/`‚sb`‚];‡Q\^p1\^];8_&k‹j]8\^s›s fOej`/ _æŒ~`bsba›p‚sbŽ+egyok‹k8atnok‹ejsbda nod]~ _g`W_…y{yo\Wy
‰ higFO"U_ _nKTVSKjZO\8X€]'_
c „j„
ƒ †‰
ƒ‰ ‰ Ž ‰ l‹_^yo\^abej`b\ ‰ _&mQnod‹\nod88\^];\^d8‹\Sda];_&`W_…y{yo\QyÃ\ \^m^k8atnoejdÁe&f sb]~\^m^kyE_gatnorj\"m^ejc]8k8aW_…‘
atnoed‹s ‰» \^mW8dCnom&_^y/`b\^];e`ba^pAqIdnorj\^`bstnoavuegf/wzy{y{nod8egnos^p­qI`b}~_gd~_Cp‚wzy{y{nod8egnos^p ƒ †C‰ ­~[ » 8\^stnos^p
[\^]‹a ‰ e&f/h=ejc|]‹k8ab\^`Mlm^\Qnod8m^\ ‰
‰ Ž ‰ ljnod8;_p/ ‰ ‰ dM_…yo\pA_gd8 ¼Iw‰ Œ _gc k‹c_&` ‰ Ž8ud;_&cZnom?_gd8H_g~_g]8atnorj\ kno\^sbm^\^d8m^\8\Q‘
ab\^mSatnoejd_^yoje`tnoab‹c ‰i» \^mW‹dnom&_…y Œ \^];ej`ba „ ‘ ƒƒ p ›_g`W_^y{yo\Qy ›`bej`W_gccZnod8A_g};e`W_gabej`bup;[\Q‘
]~_g`babc\Sda egfih=ec]‹k8ab\^`+lmQno\^d8m^\jpAqIdnorj\S`bstnoatuegf/wOy{y{nod‹e&nos^p ƒ „C‰
„‰ Ž+cZnoaW_g}8ljnod‹~__gd8? ‰ ‰ dM_^yo\ ‰ Žyoe_g?};_^yE_gd8mQnod8sbab`W_gab\SjuZfOe`=]8`tnoej`tnoatn ^\^H\ \^mSk‹atnoed
e&f/aW_gs s ‰ wvd o _"¥"_"S'X€] ‡ SwX_"gS'WKXTVOKS'WzKhiWKgFWzVz€_/z4higFO"U _/ZZ/TYSKj o4p PvwOZBTVQ6P p]~_g\^s „j/† c „ Cp
\^¾];ej`ba ¼ \&_&mQ‚pAh=Ž ‰ pŽ ]8`tn{y ƒ „‰
‡8‰ ‰~ˆ k)_&d‹ ˆŠ‰ lk ‰ Ž¿8ud;_&cZnom=]8`bej`W_gc]~_g`batnoatnoedCnod8Zsbab`W_&ab\^ju+ejdMnosbab`tno}‹k8ab\^c\^c)‘
e`buZsbusbab\^c|s ‰ wtd hDguO"U __ nKTYSKjZO\DX€]'_ ‡ S'X_"g S'WKXTVOKS6Wz6NOKS/\/_"gu_‘SwU _OKShiWKgFWzVz€_/zhigFO"U_/Z ZBTVSKj p
regyok8c\ZwWp;]~_g\^s ƒ c Cp ƒ †C‰
}ø
ªì
ì
÷
ÿ
­ì
ì
÷
Iþ
ÿ
ì
þÿ
þ
ì
“
cø
õ
Aø
ì
è
þ
©ÿ
ÿ
ÿ
Aì
ÿ ÿ
ÿ
õ
}ø
þ
ì
ý
þþ
þ
ì
þ
.þþ
þ
þ
W
ì
þþ
Rø
"ö
Fì
þ
0ì
è
}ø
W
©þ
õ
þ
¬ÿÿ
ÿÿþ
» Cnos+_g`batnomWyo\¾_gs]8`bem^\^sbsb\^k8stnod8
ab8\) ¦ » K§ c_&m^`be]~_gm _gj\)¾=noabH¹ hlsbatujyo\
÷
ø
õ
þ