HAL Id: inria-00074317
https://hal.inria.fr/inria-00074317
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.
Irregular Loop Patterns Compilation on Distributed Shared Memory Multiprocessors
Mounir Hahad, Thierry Priol, Jocelyne Erhel
To cite this version:
Mounir Hahad, Thierry Priol, Jocelyne Erhel. Irregular Loop Patterns Compilation on Distributed Shared Memory Multiprocessors. [Research Report] RR-2361, INRIA. 1994. �inria-00074317�
ISSN 0249-6399
a p p o r t
d e r e c h e r c h e
INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE
Irregular Loop Patterns Compilation
on Distributed Shared Memory Multiprocessors
Mounir Hahad, Thierry Priol and Jocelyne Erhel
N˚ 2361
Septembre 1994
PROGRAMME 1
'&(#%#)*+-,/./+ 0 !"120 3 $%#35467
8:9<;=>@?A/BDCB<EFHGIC>KJH??MLON?M>K9<P6BD=EQR9TSUJHP@L=JWVX?CJHP
YZ\[^]UZ`_ba5acdfehg6ZjilkDmon\cijn\pqZlc$rts<_bZj_buvuxwc$uvc$ryHz<_{rlc$r|Hc|H[^}D}~c$c$rMy<Zq~c$rlcM_bpH3c$nr\r\nwc$a5c$r|mor\nlZ\mozDp~c$r
YZl[ c$n%gY
6_{sqs<[UZln6|HcZ\ci\kqc$Z`i\kqc}U^qdec$sqnlcazqZlcdUbte"ds<_{]^c$r
$Mb<bUkqck<_bZ\c|*6mvZln\p<_bu% /c$a[UZl¢¡£H ¤mvr7_b}*mv}n\c$Zlcrlnlmv}q]u¥_MU[^pqnn\k<_bnkR_b}<|Huvc$r|q_bnj_r\nl[UZ`_b]Uc^yZlcnlZlmvc$¦^_{u
_{}<|¢ij[Uaapq}qm§i$_{nlmv[^}¨7©£n_Mª«[^Zj|Hr_/rlk<_{Zlc|¬|q_bnj_/sqZ\[^]^Zj_ba5amv}q]s<_{Z`_^|mo]Ua[^}_b}_{Z`i\kqmvnlcMijnlpqZ\c/®kqc$Zlc/n\kqcsqkHHrlm§i$_{u
a5c$a[UZlmvr_^i nlp<_{uouv3|Hmvrln\Zlmvzqpqn\c|*_ba[U}q]rlc$¦Uc$Z`_{u¯}D[|c$r¨°[b®±c$¦Uc$Zy²amv}qmvam´³$mv}q]tnlkqctµx_buvr\crlk<_{Zlmv}q]/_b}<|/Z\c|Hp<i mo}D]n\kqc
r\H}<i\kqZl[U}qmv³_bn\mo[U}¶Z\c$a_{mv}3mvasR[^Zlnj_b}Hn6mvr\rlpqc$rtµ@[UZsR_bZ`_{uvuocucj·ijmvc$}<i yc$mvnlkqcZ¸_{nXi [^asDmouvcn\mvacµ@[UZZlc]^pqu§_bZij[q|Hcr7[UZ7_bn
Z\pq}HnlmvacXµ@[^ZmvZlZ\c$]^pqu§_{Z[U}qc$rM¨7kDmors<_{s<cZ7_^|q|Zlc$r\rlc$rmvZlZlc]^pqu§_bZuv[H[^sqrij[Uasqmvu§_bn\mv[^}[U}¹fmvrln\Zlmvzqpqn\c|¢ /c$a5[^Z\WY_{Z`_buvuvc$u
%[UasqpDnlc$Z\r7¡£¹ 3Y%r`¤tnlkR_bnZlpq}º_b}¢H »¨¯H[Uuvpqnlmv[^}DrX_{Zlcmv}HnlZ\[|p<ijc|»nl[/[b¦^c$Zjij[^a5c7n\kqcsR[H[^Zuv[qi$_{uomvn£/nlkR_bncjqkqmvzqmvn
mvZ\Zlc$]Upqu§_bZ%uo[H[Usqr6_b}<|/_i$_br\crln\p<|H5[^}3_b}/mv}Hnlc$u«m§Yq¼U7_{}<|/_½fc$}<|q_{uouTD¾^pR_bZlc½qtdmorsDZlc$r\c$}Hnlc|«¨
¿5ÀHÁ«ÂlÃtÄ<^Å{»k<_bZ\c|/6mvZ\nlp<_{uT /c$a[UZlHy½fÆgÇy<ÈD[^Z\nlZj_b}HÉl«yHmvZlZ\c$]^pqu§_{ZsqZl[Uzquvc$arMypq}Hnlmvac6ij[Uasqmvu§_bn\mv[^}T¨
ʧËÌ
ÍxΣÏÐ
Ì
ÍÑÒvΣÓxÔ Õ
Ö\×£ØvÙ6ÚjÛÝÜqÞß^Újß^Ú$à^á²ÛÝâKÛ´ã@Ú{äå´â
Unite´ de recherche INRIA Rennes
IRISA, Campus universitaire de Beaulieu, 35042 RENNES Cedex (France) Te´le´phone : (33) 99 84 71 00 – Te´le´copie : (33) 99 84 71 71
!"*#M %# +3 4. t!+3 )¢4X # 3 b#
/(! 3 `%#$3546¯t !
t! #$3# ±/ b 3t
ÀqÀº T_Wa c$a5[^mvZlc¦HmvZlnlpDc$uvuocsR_bZlnj_b]~~ c$c[bª«Zlc^yrlpDZ7pq}¢apDuon\mvsqZl[qijc$r\rlc$pDZw_/a ca[^m~ Zlc7|mor\nlZ\mozDp~c$c^yu_{zqrln\Z`_Uijnlmv[^}
|pD}c$rls<_Uijc7|Ý_U|HZlc$r\r`_{]^cij[^a5apq}w_tnl[Upqr±uvc$r}pR|Hr6|Hc6uÝ_bZji\kqmvnlcijn\pqZlcU¨uvuvc6sRc$Zla5c$n_bmv}qrlm«_bpsqZl[qijc$r\rlc$pDZlrpq}_Ui$ibwc$r
|moZ\cijnnlZj_b}qr\s<_bZ\c$}HnWw_nl[Upqnlc|H[U}q}~c$cs<_{Zln`_{]~c$cUy«mv}<|%~c$sRc$}<|q_{aa5c$}Hn|Hcr`_5uv[qi$_buvmvr`_{nlmv[^}/sqkHHrlm§¾Upqc^¨T%cs<c$}R|q_b}Hny²uoctµx_{pH
sR_bZlnj_b]Uc|Hc6|[^}q}~cc$rc$nu§_frlH}<i\kqZ\[^}qmvrj_bnlmv[U}7uv[^Z\r|Hcu_Ui$ibwc$r6w_|Hc$r%|H[^}q}~c$c$r%s<_bZ\n`_b]~c$c$ruvmvamvn\c$}Hn«uocrs<cZ£µ@[UZla_{}<ijc$r|Hcn\c$uvr
r\Hrlnwcac$rM¨ ¹fc$rfrl[UuopDnlmv[^}qrfrl[U}nfnl[UpqnlcjµK[^mvr6c$}H¦Hmvr`_{]^c_{zquvc$rw_u¥_5ij[^a5sqmvu§_bnlmv[U}uo[UZlrj¾^pmvu«r_{]^mvn|csqZl[Uzquxwc$acr6Zq~c]^pquvmvc$ZlrMyRc$n
sRc$}<|D_b}Hnuc ~cMijpqnlmv[U}sR[^pqZuvc$r%sqZl[Uzquxwc$acr±mvZlZq~c$]^pDuomvc$Z\r¨R¹_{}qrijcZ`_bsDs<[UZlnyH}D[^pqrsqZ\[^sR[^r\[^}qrpq}/rjilk~c$a_|cXi [^asDmou§_{nlmv[^}
¾Upqmn\c$}<| w_5amv}qmvamvrlc$Zuvc$rcjª«c$n\r¸|Hcu§_a/_bpq¦^_{mor\cuv[qi$_buvmvnq~c7|D_b}qruvc$rz<[Up<ijuvc$rw_/_Ui$ibwc$rmvZlZq~c]^pquvmvc$ZlrM¨T%cr`i\k~c$a/_qy«_bsqsRc$uM~c
"!$#&%('
)+*-,/.
#"0
),*
12%341/5
*-,*
411#!6!$#&% yR_¢~cnq~cn\c$rlnq~c7r\pqZpq}/mv}n\c$u«m§Yq¼U_bmv}qrlmT¾Upqc½qtd^¨
7:ÄRb$Âj489À3O :~ca[^mvZ\c66mvZ\nlpqc$uvuvcY_bZlnj_b]~c$c^y<½fÆgÇy<ÈD[^Z\nlZj_b}HÉl«yHsqZ\[^zqu£wc$a5c$rmvZlZq~c]^pquvmvc$ZlrMyqrjilk~c$a_{r|cj~ci pqnlmv[^}¨
) ),, * ) ,* * , * , ) ,*
75+*4±#
gfuvnlkq[Upq]^k*ac$r\r`_{]^cs<_{rlrlmv}q]mortnlkqc5pqrlp<_{u±sDZl[^]UZ`_{aamv}q]a5[q|Hc$u[bµ¹ 3Y%rMy¯k<_bZ\c|¢fmoZ\nlp<_{u± /c$a5[^Z\3sqZl[b¦Hm§|Hc$r_b}
_{uvnlc$Z\}<_bn\mo¦Uc®mvnlk¶_/|q_{n`_rlk<_{Zlmv}q]a5[q|Hc$uT[U}¶n\kqc$r\c_bZ`i\kqmvn\cijnlpDZlc$rM¨¯H[{µ@n£®_bZlcz<_{rlc|*H ¡@uvm^c½6ÆgDZ_{}<|¶kqmv¦^_
Ý[^}ºnlkqcm¥Y q¼^U¤_br®%c$uvu_brkR_bZ`|®_{Zlc3z<_{rlc| [^}qc$r¡@uvm^c5g %g6° [U}ºnlkqc¶½qtd¤_{Zlc3zqpDmouvn[U}On\[^sº[bµ7_
sR_b]^mv}q]acMilkR_b}qmvrla <_Ui$ijc$r\rlmv}q]3_sR_b]^ct®kqm§ilkmor}D[^n6sDZlc$r\c$}Hnmv}n\kqcuo[qi$_{uTa5c$a[UZl_M®_^c$rfnlkqc7 c$}D]^mv}qc®kqm§ilk
®mvuvuuv[[!/µ@[UZn\kqcamvr\rlmv}q]sR_b]^cU¨TÆf}<ijcn\kqcsR_b]^czqZ\[^pq]UknMy«nlkDcpqr\c$Z rsqZ\[^]UZ`_ba Zlc$r\pqacr7cjqci pqnlmv[^}_{nnlkDcµx_bpquvn\mo}D]
mv}qr\nlZ\p<ijnlmv[U}T¨Rkqmvr6sqZ\[^]^Zj_ba5amv}q]a5[|c$uTr\c$c$arn\[zRc7r\moa5squvc$ZµK[^Z6pDrlc$Z\rrlmv}<ijcij[Uaapq}qm§i$_{nlmv[b}qr_bZ\c7k<_{}<|Huvc|zHn\kqc
[Us<cZ`_bn\mv}q]3rlHr\nlc$a*¨¯¹fc$r\sqmvnlcn\kqmvr7cM_brlmv}qcrlry z<[Unlk¢sqZ\[^]UZ`_ba5amv}q]a5[|c$uvr7_bZ\cµx_Uijc|¢n\[3nlkDcrj_ba5c7cj·i moc}<ijsDZl[^zDuoca
®kDm¥i\k5mor%kq[b®%c$¦^cZ|Hmª«c$Zlc}n\uvrlnj_bn\c|"^mv}n\kqc6a5c$rlrj_b]Uc6s<_{rlrlmv}q]sqZ\[^]^Zj_ba5amv}q]6a5[q|Hc$u£ybnlkDc 5 ) ,)
mvr|Hmvrln\Zlmvzqpqn\c|/_ba[U}q]
n\kqcsqZ\[qijc$rlr\[^Z\r7r\[_brfnl[5amv}qmvam³$cij[Uaapq}Dm¥i_bnlmv[U}/¡@uvc$rlra5c$rlrj_b]^cr`¤6_{}<|/mv}3n\kqc¸|D_bn`_rlk<_{Zlmv}q]5a[q|Hc$u£y #$
, ),*
412%
_{Zlc_br\rlmv]^}Dc|5nl[sqZ\[i c$rlr\[^Zlrr\[_brnl[c}qk<_b}Rijcuv[qi$_buvmvn£¡Kuvc$rlrfs<_b]Uc6µ£_bpquvnlrj¤$¨
ÆfpqZ3ij[U}n\Zlmvzqpqn\mv[^} ®mvnlkDmo}ºn\kqmvr®%[^Z%O_{moa5r_bn5c$}qk<_{}<ijmv}q]ºsqZl[U]^Zj_ba cj·ijmvc$}<ij mo} nlkqc¢|q_bnj_¢r\k<_bZ\mo}D]a[q|Hcu6[^}
¹ 3Y %ryHc$r\s<ci m¥_{uvuo5®kqc$}¶|c_buvmv}q]®mvnlk/mv}<|HmvZ\cijn6_^iijc$rlr\c$rnl[r\k<_bZ\c|3_bZ\Z`_MHr¨HkHpqrMyq®%c®mouvuDµ@[qijpqr[UpqZcjª«[^Zln\r6mv}n\kqmvr
sR_bsRc$Znl[uv[H[^sµ@Z`_{ac$®%[^Z%r%rlpRilk3_{r'&(
&)+*-,/.)021435
6879:7 .;<;>=
6?7@9:7
.;A; BDCECFC
G!HI
*-,
®kDc$Zlc
6
mvr_5rlk<_{Zlc|¢_{ZlZj_M3[bµ±r\mv³$cKJy
9
mvrX_{}¶mv}<|moZ\cijn\mo[U}_{ZlZj_M3[bµrlmv³$cKL ®mvnlkMLONPJ¬_b}<| mor_5ij[^a5apqn`_{nlmv¦^c
_{}<|3_{rlrl[qijm§_{nlmv¦^c[^sRc$Z`_{nlmv[^}¨«©£}¶n\kqmvrrlnlpR|HyR®%c7r\pqsqsR[^r\cnlk<_{n
9
mor|HpDsquvm¥i_bnlcM|¶_{a[^}D]7n\kqcsqZl[qijcrlrl[UZlrM¨©£}¶¦Uc$Zl3u§_{Zl]^c
sDZl[^zDuocary
9
i$_b}¬z<c3_^i nlp<_{uouv*rlk<_{Zlc|»Z`_{nlkqc$Zn\k<_b}º|Hpqsquvm§i$_{nlc|»rlmv}<ijc/ZlcM_^|UÉ£[^}quv¢|q_bnj_¢¡£_br
9
¤7|H[Hc$r}D[^n|HmvrlnlpDZlzn\kqc
r\Hrlnlca sRc$Z£µK[^Zla/_b}<i cr\mv]^}qmRQ i$_{}HnluvDݨ
Æf}¢¹ Y%ry«YRg ©SÝHyR<yUTFmvr[U}qc[{µ±nlkqca[Urln6_U|H¦^_b}<i c|3sDZl[jcMijnlrmv}/Zlcrl[^uv¦Hmv}q]r\p<i\k¶sDZl[^zDuocar¨D©£nk<_brfz<c$c}
]UZ`_ µ@nlc|5n\[7r\c$¦^c$Zj_bu°6Y Èij[Uasqmvuvc$Zlr%rlpRilk*_br6ÈTÆ6gÇÉ ¹VvdEWHy«d^dB¯_b}<|5fmoc}q}<_MÉlÈD[^Zln\Z`_{}8ݨ
kqc}Dcjqnrlci nlmv[^}¢[{µn\k<_bnsR_bsRc$Z®mvuvu¯]U[/[b¦^c$Zn\kqcij[U}n\cjqn[bµ[^pDZrln\p<|HH¨THcijn\mv[^}5mv}n\Zl[q|Hp<i c$r7n\kqc¦^cZl*kqc_bZ\n
[{µ6[^pqZsqZ\[^sR[^r`_{u®kqm§i\kmvrnlkDcW%© nlcMilkD}qm§¾^pDc^¨g6}º_b}<_{uoHn\m¥i_bu%a[q|Hc$umvr_buvrl[]^mv¦^c$}¬mv}¢nlk<_{n7r\cijnlmv[U}T¨©£}¬rlcijn\mv[^}Ry
_{}¶mva5sqZl[b¦Hmv}q]cjqnlc}qrlmv[^}¢n\[3nlkDc%© mvrmv}HnlZ\[q|Hp<ijc|²¨«kqcmvasquvc$a5c$}Hn`_{nlmv[^}5mor\rlpqcrymv}<ijuvp<|Hmv}q]5z<[Unlk_{pqnl[Ua_bn\m§iij[q|Hc
]Uc$}qc$Zj_bn\mo[U}_b}<|c sRc$Z\moa5c$}HnlrMyq_bZlc6|morjijpqr\rlc|5mv}rlci nlmv[^}/q¨2qs<c$Z\mvac$}Hnlr%_bZlcfkqc$u§|[U}_b}m§Yq¼Ut¡@[^pDZY_bZj_b]U[^}H ¢y
i_buvuvc| YXÆgÇyqmvr}q[Un^c$n6_M¦^_{mvu¥_{zquvc¤_{}<|_½qtd^¨
Z 7)* t! ,t!"
²c$npqr'Q<Z\rlnij[^}qr\m§|Hc$Z_ts<_{Z`_buvuvc$u«uv[H[^s5®mon\k3_b}mv}<|moZ\cijnf®Zlmvnlc_^iijc$rlrn\[¸_r\k<_bZ\c|3_bZ\Z`_MHy_{r%µ@[^Zmv}qr\n`_{}<ijcK
&#[#'*-,/.)02143
H
6879:7
.;<;M0]\A\<\
G!HI
*-,
®kDc$Zlc
6
mvr6_r\k<_bZ\c|/¦^cMijnl[UZ¡@m£¨c^¨Hr\nl[^Z\c|mo}/_rlk<_{Zlc|W¦mvZ\nlp<_{u«ac$a5[^ZlZlc]^mv[^}<¤_{}<|
9
Zlc$sDZlc$r\c$}Hnlr7_sRc$ZlapDn`_bn\mv[^}_^[bµ
n\kqcmvnlc$Zj_bnlmv[U}r\s<_^i c`bac=Pdd!e CFCFC eJ?fpq}g}D[b®}W_{n6ij[^a5sqmvuvcnlmvact¡@sqZ\[^zquvc$a |c$s<c}<|Hc$}Hns<cZlapqnj_bnlmv[U}<¤$¨Uk<_bnmvrh
^i`bakjUlm`ba
n8oj-lp^¡qn@¤b=
9
¡rnK¤
_{}<| s4n%etcuk`baUevnw=ith=Uxp^¡rnK¤hw=/^¡yt^¤
Hmv}<i c
9
mor_sRc$ZlapDn`_bn\mv[^}¦^ci nl[^ZMyF&#[¯mvrT_s<_bZj_buvuvc$u^uv[H[^s7_{}<|mvnlrmvnlc$Zj_bnlmv[U}qr¯i$_{}zRc|Hmvr\nlZlmvzqpDnlc|_ba5[^}q]%nlkqc sqZl[qijc$r\rl[UZlr
_Ui$ij[UZ`|Hmv}q]/nl[3_{}s<_bn\nlc$Z\}Ty«rlpRilk_{r+"!$Bz vy "!
* Rc$n`i CECFCg6r
9
mvrpD}H}q[b®}_{nij[^a5sqmvuoctnlmvac^yDnlkqc_Ui$ijc$r\r7[UZ`|HcZnl[
n\kqcc$uvc$a5c$}Hnlrf[bµ
6
mor_buvrl[pD}H}q[b®}T¨qkHpqrMyRnlkqc[U}quvs<_{Z`_{ac$n\c$Z6n\[n`_^cmv}Hnl[_Ui$ij[Upq}Hnµ@Z\[^a _ij[Uasqmvuvc$Zrlnj_b}<|s<[Umo}Hn
mvrn\[_^i\kqmvc$¦^c_uo[H_^|z<_bu§_b}Rijc|3|Hmvr\nlZlmvzqpDnlmv[^}5[bµnlkqctmon\c$Z`_{nlmv[^}DrnlkqZ\[^pq]Uk3nlkqctsqZl[qijc$r\rl[UZlr¨°[b®%c$¦^c$ZMyqn\kqc7|q_{n`_mvr6r\nl[^Z\c|
mv}Hnl[a5c$a[UZls<_b]Uc$rcDrlpqsDs<[Urlcnlk<_{n6n£®%[mvnlc$Zj_bn\mo[U}qra_{sqsRc|5[^}¶|Hmª«c$Zlc}nsqZ\[qijc$rlr\[^Z\r7_^i$i c$rlrc$uvc$a5c$}Hnlr6r\nl[UZlc|mv}n\kqc
rj_ba5cs<_b]Uc^¨^kDc$}TyUnlk<_{n±s<_{]^cfmor a[b¦^cM|tµ@Zl[Ua [U}qcsqZ\[i c$rlr\[^Z6uv[qi$_{u<a5c$a[UZlnl[nlkqcf[^n\kqc$Z r%®mvnlk_{}|
0
*-,
#
b_^iijc$rlrfZlmv]^kHn
_{nuvc_br\n6[^}Rijc^yRrl[5nlk<_{nc$¦^c$Z\^[U}qc¸i_b}¶ij[Uasquvc$n\cmon\rmvnlc$Zj_bnlmv[U}T¨qkqmvrfmor6i_buvuvc|/_µx_{uor\crlk<_{Zlmv}q]~Dn£®±[sDZl[qijc$r\rl[^Z\r7_^iijc$rlr
n\[3|Hmª c$Z\c$}Hn¸_U|q|HZ\c$rlr\c$ruv[i_bnlcM|*mo}*nlkDcr`_{acij[^kDc$Zlc$}Rij¢]^Zj_bmv}¡£_/s<_{]^c¤_{}<|[^}qc[{µn\kqcn£®%[3_^i$ijcrlrlcr_bnuvc_{rlnmvr7_
®Z\mvnlc[^sRc$Z`_{nlmv[^}¨¢ca_M}q[^n\m§ijcnlkR_bn6n\kqcu§_bZl]Uc$Z6n\kqc}HpqazRc$Z%[bµsqZl[qijcrlrl[UZlrn\k<_bn6i [^asRc$n\c6µK[^Z6_s<_{]^cmvryDnlkqca5[^Zlc
?F E
* ) ) * * )
mva5s<[UZln`_{}Hnmortnlkqcµx_{uvrlcrlk<_{Zlmv}q]3sqkDc$}q[^a5c$}q[U}T¨c$}qc$Zj_buvuvyRn\kqcrlmvnlpR_bnlmv[U}¶mvr®%[^Z\rlcmµcM_^i\k¢sqZl[qijcrlrl[UZ7n\Zlmvc$rn\[¶_^iijc$rlr
n\k<_bn s<_b]Uc6a[UZlc%nlk<_{}[U}<ijc¡Ksqmv}q]bÉ£sR[^}q]cjª«cijnj¤$¨<¹fc$sRc$}<|mo}D]7[U}
9
¦^_{uopDc$ry&#[±mvr±uvm^cuotnl[]Uc$}qc$Zj_bnlc_fµ£_buvrlcr\k<_bZ\mo}D]nlk<_{n
pDrlp<_{uouvuvc_U|Hrnl[_|HZ`_{rln\m¥i_buTuv[Urlr[bµs<cZ£µ@[UZla_{}<ijc¡@mv}µx_^ijnMyqmvn|Hc$sRc$}<|Hr[^}5kq[b® µx_br\nmor%nlkDc7H c$}D]^mv}qc¤¨
ga5[^Zlcf]^c$}Dc$Z`_{uTuv[H[^srji\kqc$acc$}Rij[^pq}Hn\c$Zlc|mv}a/_bnlZ\m_{rlrlcazquvij[q|Hc$r6mvrh
&!'*-,/.)021435
6879:7 .;<;>=
6?7@9:7
.;A; B \A\A\
G!HI
*-,
®kDc$Zlc mvr6_{}_br\rl[qijm§_bn\mv¦^c_b}<|5ij[^a5apqn`_{nlmv¦^c%[^sRc$Zj_bnlmv[U}¶¡KuvmUcyqyHcn`i CFCEC ¤y
6
mvr±[{µ¯r\mo³ccJ3_b}R|
9
mvr%[bµrlmv³$ccL ®mvnlk
L N J¨<°c$}<ijc^y
9
mvr}q[a5[^Zlc_sRc$Z\apqn`_{nlmv[^}5¦^cijn\[^ZMyqzqpqn6_sDZl[jcMijnlmv[^}/[{µ¯nlkDcmvnlc$Zj_bnlmv[U}rlsR_^ijc^yRn\k<_bnmvr>
k`/j4lm` a
n8oj-l¡rnK¤b=
9
¡rnK¤
_{}<|n\kHpqrmn%eqtu`¡rnK¤b=¡t{¤
Çc$¦^cZlnlkDc$uvc$rlrMy2&i_b}3zRccjqcijpqn\c|3mv}/s<_{Z`_buvuvc$uRc$¦^c}3mµ¯mvnmvr}q[^n6_ts<_bZj_buvuvc$u«uv[H[^ssDZl[b¦Hm§|Hc|5nlk<_{nc_^i\k3Z\c_^|/_Ui$ijc$r\rn\[
6
_{}<|/n\kqc¸i [^ZlZ\c$rlsR[^}R|Hmv}q]3®Zlmvn\c7_^i$i c$rlr5¡@®mvnlkDmo}nlkqcr`_{acmvnlc$Zj_bnlmv[U}<¤_bZlc_bn\[^a5m¥i_buvuv7cjqci pqnlc|²yTsqZ\c$¦^c}n\mv}q]3_b}H/[^nlkDc$Z
sDZl[qijc$r\rl[^Zµ@Z\[^a_^i$i c$rlr\mo}D]6nlkR_bn«c$uvc$a5c$}Hn«[bµ
6
n\kqc$Zlc%mv}z<c$n£®%c$c$}¨kDmor«mvrs<[Urlrlmvzquvc[^}_%r\k<_bZ\c|¦HmvZln\p<_buba5c$a[UZl%zH6acM_b}qr
[{µ _{}c Di uopDrlmv¦^cs<_{]^cuv[i%Hmv}q]aci\k<_{}qmvrla n\k<_bn6_{nlnlZ\mvzqpqnlcr6_s<_b]Ucn\[[^}qc_{}<|5[^}quv[^}DcsDZl[qijc$r\rl[^Zpq}Hn\mou«mvn%cjqsquvm§ijmvnluv
Z\c$uvc_br\c$rn\kqc3s<_{]^c/uv[qi«¨H[Rymv}O_U|q|Hmvnlmv[U}nl[¢n\kqc/µx_{uvrlc/rlk<_{Zlmv}q]¢sqZ\[^zquvc$a ijmvnlc| _{z<[b¦Uc^y_b}º[b¦Uc$ZlkqcM_^|ºmvrmv}HnlZl[q|HpRijc|
®kDc$}]Uc$nln\mo}D]¸_{}<|Z\c$uvc_br\mo}D]_uv[i%_{}<|_ts<[Urlr\mozDuocfuv[^rlr[{µTs<_bZj_buvuvc$uvmvrla mv}<ijpqZ\r±zRci$_{pqrlc[{µ¯apqn\p<_buDcj<ijuvpqrlmv[^}5z<cn£®±c$c}
sDZl[qijc$r\rl[^Z\r7_^iijc$rlr\mv}q]/nlkqcrj_ba5csR_b]^c_bnnlkDc7rj_bacn\moa5c^¨HÆ6pDZn\ci\kq}qm§¾Upqc5¡@®%cmv}n\Zl[q|Hp<i cmv}n\kqc}qcjqn6r\cijnlmv[U}<¤_buvuv[b®r
sR_bZ`_{uvuocu±cjqci pqnlmv[^}¬[bµz<[Unlk[_b}R| uo[H[Usqr7®kDmouvcc$uvmvamv}<_{nlmv}q]µx_buvrlc5rlk<_{Zlmv}q]¢_b}<|»rlH}<i\kqZ\[^}qmv³_{nlmv[^}¬}qc$c|HrM¨°c$}Rijc^y
[b¦Uc$ZlkDc_^|Hr6|pqcnl[s<_{]^c_^i$i c$rlrij[U}<m§ijnlr_b}<|s<_b]Ucuo[qi%Hmv}q]¸_{ZlczR[^nlk3_M¦U[^m§|Hc|«¨
+#$±#+2«%#/
!#"%$ &('*)%+-,)/.-0/1
2%_br\m§i$_buvuvy²nlkqc5m¥|c_3mvrn\k<_bnn£®%[¶sqZ\[qijc$rlr\[^Z\r®mvuvu}qc$¦Uc$ZnlZ\¢nl[¶_Ui$ijc$r\rnlkDcr`_{aca5c$a[UZl3s<_{]^c^y_bn_b}H*nlmvacU¨TÆfpqZ
sDZl[^sR[^rj_bu«mvrzqpqmvuvn%[^}/®k<_bna5mv]^kHnz<c7i_buvuvc|_
15
*-,*
1#5
,
#"0
),*
12%>
35À54687@7§Ä96:<; 415
*-,*
41#5
,
#0
),*
41 % B>= ?
*% )
!- B | *
*-,
#0
),*
41 %
) 0 # | 4!6! 41 , )4*
1/#5 *1 , ) 41/5
*A@
,*
1
)
!/%
, ),
#+#1
,CB
DFEHG>I
*g,P.)021435
.KJ
7ML
,
HI
;N5OP
H
QQQ
G)HI .RJ
G)HI
*-,
% , ) , *S ) 1
*-,
#0
),*
41
*% #UT #
, # 5 % #WV #"0
)
!b/0 #&%% 40%U
,
# 415
*-,*
41
L , HI
*% ,
0" # 41 41#
)
15 #UT
) ,!(41/#
/0 #%% 40=
)
15YX
) !%"# 41
,
# ,
#0%Z?\[
©Kµ±®%c7_{rlrlpDacn\k<_bn
L , H I
|Hc$sRc$}<|Hrt[^}3r\[^ac|q_{n`_5|HmvrlnlZ\mvzqpqnlmv[U}Tyqn\kqc$}*nlkqc%© ¢mvasDuocac$}Hnlr%nlkDc | 1#"0 #$
,
#%
Z\pquvc[^}_ s<_bZj_buvuvc$uTij[Uasqpqn\c$Z¨qÈD[^Z%cj<_ba5squvc^yHuvc$npqr6ij[U}qrlm§|HcZ6nlkDcuv[H[^s"
*-, .)021U35
R¡ ¡@m§¤l¤ = R¡ ¡@m§¤l¤] g¡ ¡@m§¤\¤
G!HI
*-,
©Kµ®%c7|Hmvrln\Zlmvzqpqn\czR[^nlk*3_b}<|5g [^}/nlkqc_M¦^_bmvu§_bzquvc6sDZl[qijc$r\rl[^Z\ry«n\kqmvr6uv[H[^s/a_MzRc7ij[Uasqmvuvc|5_^i$ij[UZ`|Hmv}q]5nl[n\kqc(^l[b®}Dc$Z
i [^asDpqnlc$r/_7Z\pquvc[^}3_¹ 3YyH]^c}qc$Z`_{nlmv}q]_ij[q|Hcn\k<_bnuv[H[)Hruvm^cc
`ba8c`bd
) ),, * ) ,* * , * , ) ,*
*-, .)021U35
.KJ
7 ,
H 6?7@9:7
.;A;<; N5OP
H
.KJ
7 ,
H:7@9 !7
.;<;A; N OP
H
6?7@9:7 .;A; 0
6?79 7 .;A;
:7@9 !7 .;<;
PP
PPA.9P
:79 !7 .;A; . H
N!5
6?7@9:7 .;A; 0
6?79 7
.;A;N!5
P
HI .RJ
PP
.KJ
7 ,
H:7@9 !7
.;<;A; N OP
H
P
HI:79 !7 .;A;
P
HI .RJ
P
HI .RJ
G!HI
*-,
©£}tnlkqmvri$_br\c^ybn\kqc±[b®}Dc$Zlr\kqmvs[bµ _¦^_bZ\m¥_{zquvcmvrTr\nlZl[U}q]^uvZlcu¥_{nlc|tnl[fnlkqc%mv}qmvnlm§_buUa_{sqsqmv}q]%[bµ<n\kqc|D_bn`_[^}n\kqc%sqZl[qijc$r\rl[UZlr¨U©£}
_fr\moa5mvu¥_{Z«a_{}q}qc$ZMybnlkqc6%© Wmorpqr\c|[U}¸_tH a/_^i\kqmv}qcn\[rlsRcijmµ@_bnZlpD}n\mvac_s<_bZ\nlm§ijpqu§_{Z¯a/_bsqsDmo}D][bµTnlkDcmon\c$Z`_{nlmv[^}
r\s<_^i c^y«mv}¶[UZ`|HcZnl[/amv}qmvamv³$cnlkDcµx_buvrlcrlkR_bZlmv}q]R¨«Hmv}<ijcnlkDcij[^kqcZlc$}<i ¶]UZ`_bmv}*mvrn\kqcaca[^Z\s<_b]Uc^y«n\kqc[^z^jcMijnlmv¦^cmvr
n\k<_bn
*-,
#0
),*
41 % | 0 *,*1 *1 , ,
# % ) #
) #h % , # #UT # ,# 5 41
,
#3%
)
+#'0 #&%%"0 ¨U©£}[UpqZ%r`_ba5squvcuv[[UsTyUm´µ
9
_b}<|
_{Zlcr\k<_bZ\c|/_bZ\Z`_MHryDnlkqcuv[H[^s/mvrij[Uasqmvuvc|[^}_ a_UilkDmo}Dc6_b}<|5nlkDmor6i [|cmvr]^c$}qcZ`_bn\c|M
*-, .)021U35
.KJ
7 ,
H
N5O P9P),
H
Ng.
H . H 6?79:7
.;A;A; N OP
H
6879:7 .;<;M0
6?7@9:7 .;A;
79 !7 . ;A;
P
HI .RJ
G!HI
*-,
©£}n\kqmvr i [^}HnlcjqnMy_fsqZ\[i c$rlr\[^Z | 12% _s<_{]^c%mµ mvnk<_br%_b}cj<ijuvpqrlmv¦^c®Z\mvnlc6_^iijc$rlr%nl[tnlkqmvrs<_{]^c^¨UHmv}<ijcmvnmor}q[Un±_buvuv[b®%c|
n\[7®Z\mvnlc[^}5s<_b]Uc$rmvn|H[Hc$r\} n[b®}TyUnlkqcfµx_{uor\crlk<_{Zlmv}q]sqZl[Uzquvc$a mvr±n\kqc$}/c$uvmvamv}<_{nlc|«¨UÇ[^n\m§ijcnlk<_{nnlk<_{}Hr±n\[nlkqcH ¢y
n\kqcZlmv]^kHn6kR_b}<|rlm§|Hc[bµnlkqcrlnj_bn\c$ac$}Hnmv}3nlkDc7rj_basDuoctuo[H[Us¶|H[Hc$rl}na/_bnln\c$Zc²}q[^n\kqmv}q]r\s<ci m¥_{umvr|H[^}qc®kqc$n\kqc$Zn\kqc
sDZl[qijc$r\rl[^Zfmv}Wi\k<_{Zl]Uc[{µnlkqcmvnlc$Zj_bn\mo[U}[b®}qrn\kqcZ\mo]UkHn±k<_{}<|5rlm§|Hc[^sRc$Zj_b}<|Hrf[^Z}q[Un¨
¹fpqZ\mo}D]nlkqcfcjqcijpqn\mv[^}/[bµ¯_{}_bsDsquvm¥i_bnlmv[U}TybnlkDc6s<_{]^c6[b®}Dc$Zlr\kqmvsmvr±}D[^n±_ij[^}Drln`_{}Hnµ@pD}<ijnlmv[U}~Us<_b]Uc$r±a5[b¦^c%z<cn£®±c$c}
sDZl[qijc$r\rl[^Z\r¶_^iij[^Zj|Hmv}q]ºnl[n\kqc¢|q_bnj__^iijc$rlrs<_bn\nlc$Z\}T¨©£}:[^pqZ5moa5squvc$ac}nj_bn\mo[U}Tynlkqc*pqrlcZWi_b}ilkD[[Urlc*z<cn£®±c$c}n£®±[
[b®}Dc$Zlr\kqmvsµKpq}<ijn\mo[U}qrhHnlkDcQRZlrlnf[^}qcZ\c$nlpqZ\}qr6n\kqc7_Uijnlp<_{u«[b®}qc$Z\rlkqmvs/Zlc$u§_{nlmv[^}/®kqmvuvc6n\kqcrlcij[U}<|/[U}qcZlc$n\pqZl}qr_t¦HmoZ\nlp<_{u
[b®}Dc$Zlr\kqmvsZ\c$u§_bn\mo[U}[U}n\kqcz<_br\mvr[bµ±_pDrlc$Z É|HcBQ<}qc|Wµ@pq}<i nlmv[^}T¨
<_{asquvcDrlpDsqs<[Urlc3n\k<_bn®%c/k<_M¦^c/_¢MÉ£sqZl[qijcrlrl[UZlr¡ [_{}<| !
¤r\r\nlc$a ®mvnlkºn£®%[¶r\k<_bZ\c|¬s<_b]Uc$r/¡#" [_b}<|
"9$¤$¨DrlpqsDs<[Urlcnlk<_{n6zR[^nlks<_b]Uc$r6_bZ\cmv}$ [ r6uv[qi$_{u«ac$a5[^Zl®mvnlk¶_{}/cj<ijuvpqrlmv¦^ct®Zlmvnlc7_Ui$ijc$r\r¨«kDc7_^ijn\p<_bu[b®}qc$Z\rlkqmvs
µKpq}<ijn\mo[U}¶®mvuvuZlc$n\pqZl}&%(')
G
n\[* [ µ@[^ZzR[^n\k¢s<_b]Uc$r®kqmvuvc7mvn®mvuvu¯Z\c$nlpDZl} +
A96!G
nl[* µ@[UZ7_b}H3[{µn\kqcs<_{]^c$rM¨ 2
i [^}HnlZj_brlnMyqn\kqcpqr\c$Za_M[^Z`|c$Z6n\kqcrlHr\nlc$a nl[ V *0 , ) !! Zlc|Hmvr\nlZlmvzqpDnlcnlkqcsR_b]^cr_ba5[^}q]tnlkqcsDZl[qijc$r\rl[^Z\r¡@zH/zquv[i%µ@[^Z
mv}qr\n`_{}<ijc¤¨qkqc$}y<n\kqc¦HmvZln\p<_bu«[b®}qcZlrlkDmosWµ@pq}<ijn\mv[^}/®mvuou«Z\c$nlpDZl}*%(')
G
nl[,!-_bzR[^pqn "9¡x_{}<|/ij[^}Drlc¾Upqc$}Hn\uo-+
A96)G nl[
! [ _{z<[Upqnnlk<_{n6rlcMij[^}<|*sR_b]^cM¤6c¦^c$}¢mµ±mvn6mvr_^ijn\p<_buvuv/mo} [ ruv[qi$_buaca[^Z\¨HÆfzH¦mv[UpqrluvHy<_5s<_b]Ucµx_{pquvn6®mvuvuT[qi$ijpqZ
n\kqc QRZlrln%nlmva5c. ®mvuvuqnlZ\nl[7_Ui$ijc$r\r " ¨°[b®±c¦^c$ZMyH[^}qcapqr\n±ij[Uas<_{ZlcnlkDcij[Urln%[bµ8H}q[b®mv}q]n\kqc_Uijnlp<_{u |mor\nlZ\mozDpqnlmv[^}
_{}<|n\kqci [^rln[{µ 4!-5
[UZ
% , ) 0
,Z@
F
sR_b]^cµx_bpDuon\r¨H¹fc$s<c}<|Hmv}q][^}n\kqc_bZjilkDmon\cijn\pqZlc^yR[U}qc6n\ci\kq}qm§¾Upqca_MzRcilkDc_bsRc$Z6n\k<_b}
n\kqc[Unlkqc$ZM¨«kqc7_{mva [bµ¦HmoZ\nlp<_{uvuo5Zlc|mor\nlZ\mozDpqnlmv}q]5nlkqcs<_b]Uc$r_ba5[^}q]nlkqcsqZ\[i c$rlr\[^Zlrtmorfnl[/_M¦^[^m§|5uv[_U|mvaz<_{u§_b}<ijcfnlk<_{n
a/_M[iijpqZ%m´µT_u§_bZ\]^c%}Hpqaz<cZ[bµ«s<_b]Uc$r±_{Zlc6[b®}Dc|zH¸_r\a_{uouU}Hpqaz<cZ[bµ«sqZl[qijcrlrl[UZlrM¨<YZ\c$rlc$}Hn\uoHyU[^pqZmva5squvc$ac$}Hnj_bnlmv[b}
kR_b}<|Huvc$rn£®%[¦mvZ\nlp<_{u«Zlc|Hmvr\nlZlmvzqpDnlmv[^}/r`i\kqcac$rt¡@zquv[qi%_b}<|/ijqijuvm§i$¤%mv}3_^|q|Hmvn\mo[U}n\[7n\kqc7_^i nlp<_{uT|HmvrlnlZ\mvzqpqnlmv[U}T¨
!#"0/ 1+32805476 )/,8280:9<;7= 1 0>;@?A6B 1C
0D;7;.
c$u§_bn\mo¦Uc$uvn\[_zDuo[qi%3|Hmvrln\Zlmvzqpqn\c|*uv[[Us*¡@rln\ZlmvsHÉ£amv}qmv}q]H¤$yHnlkDc¸%© ¬mv}HnlZl[q|HpRijc$r_b}*[b¦^c$Z\kqc_U|3|Hpqcnl[/nlkDc7cjqci pqnlmv[^}*[bµ
_{uvuqnlkqcmvnlcZ`_bn\mv[^}qr%zH¸_{uouRnlkDc6sqZ\[i c$rlr\[^Zlrt¡@mv}qr\nlc_U|[{µ¯_uv[H[^szR[^pq}<|rZlc|HpRijnlmv[^}R¤$yq_b}R|nlkDc6c$¦^_{uopR_bnlmv[U}[bµTnlkDcij[U}<|Hmvnlmv[^}
_{nc_Uilkmvn\c$Z`_{nlmv[^}T¨{kqmvr[b¦^c$Z\kqc_U|a_MzRc¡KZlc$u§_bn\mv¦^c$uvq¤nl[H[cjqsRc$}qrlmv¦UcX|c$s<c}<|Hmv}q][U}nlkqcf}<_bn\pqZlcf[bµ«nlkqcij[^a5sqpqn`_{nlmv[^}Dr
mv}H¦^[Uuv¦^c|zHc_^i\k5mon\c$Z`_{nlmv[^}¨bkqmvrs<_{Zln[{µTnlkqcs<_{s<cZ_{moa5r¯_{n±ij[^a5s<_bZ\mv}q]6n\kqmvr±[b¦Uc$ZlkqcM_^|nl[t[^nlkDc$Z±sR[^r\rlmvzquvc6_b}R|ij[^Z\Zlcijn
i [^asDmou§_{nlmv[^}r`i\kqc$a5c$r¨D[¸|H[rl[Ryquvc$npqr6_{rlr\pqacnlkR_bn®%ckR_M¦^c6n\kqcµ@[Uuvuo[b®mv}q]ij[U}Hnlcjqnc
?F E
* ) ) * * )
[^pqZ6_{sqsquvm§i$_bn\mo[U}mvrZlpD}q}qmv}q][^}3_7¹ 3Y
_ij[^kqcZlc$}Hn6sR_b]^c Éxz<_{rlc|H mvrsqZl[b¦Hm§|Hc|[^}/nlkDcX¹ 3Y
_{}<|nlkqcsqZl[Uzquvc$a mvrnl[3|HcMijm§|Hc®kqm§i\kij[Uasqmvu§_bn\mv[^}/nlci\kq}Dm¥¾UpqcsRc$Zµ@[^Z\ar6n\kqczRc$rlnc cMijpqnlmv[U}¢nlmvac7_{a[U}q]nlkqca5[^r\n
i [^aa5[^}[^}qcrh
: cjqcijpqn\mv[^}3[{µ¯nlkDc>& [ uv[H[^s5[^}3_rlmv}q]Uuvc6sqZ\[i c$rlr\[^Z¡@}q[sR_bZ`_{uvuocuomvr\a zDpqn}q[[b¦^cZlkqc_U|/_br®%c$uvu¥¤
7 rln\ZlmvsHÉ£amv}qmv}q]KHzquv[qi%s<_{Zln\mon\mv[^}qmv}q][{µnlkqcmvnlc$Zj_bn\mo[U}/rls<_Uijc7_ba5[^}q]n\kqcsqZ\[i c$rlr\[^Zlr
cjqcijpqn\mv[^}3[{µ¯nlkDc&#[6uv[H[^s/_^i$i [^Z`|mo}D]nl[_tZlc$]Upqu§_bZzquv[qi%|Hmvrln\Zlmvzqpqn\mv[^}[{µ
6
s<_b]Uc$r¨
Æf}3_rlc¾Upqc}n\m§_bu¯i [^asDpqnlc$Z%nlkDccjqcijpqn\mv[^}/nlmvacf[bµnlkqc>& [ Éxuv[H[^s5mvrS
'=*¡º
¤ ¡jd¤
®kDc$Zlcr\n`_b}R|Hrµ@[UZnlkqcZ\mo]UkHnk<_b}<|5r\m¥|cc$¦^_buvp<_{nlmv[^}n\mvac_{}<|
mvrnlkqc7i [^rlnf[bµ[^}qca5c$a[UZl7_Ui$ijc$r\r¨«©£}R|Hc$c|«y
mµ®%c7_br\rlpqa5cnlk<_{nSn mvr6rln\[^Z\c|3mv}¶_Zlc$]UmvrlnlcZy«[U}quvn£®%[ac$a5[^Zl_Ui$ijc$r\rlc$r_bZ\c}qci c$rlrj_bZl*zH/mon\c$Z`_{nlmv[^}yq[^}Dc¸_Ui$ijc$r\rnl[
Z\c_^|%¡qn@¤f_b}<|[^}qctnl[rlnl[UZlc! ¡"%¡rnK¤l¤¨
©£}3[UpqZi [^}HnlcjqnMy«®±ctrlpqsqsR[^r\c7n\kqcs<_b]Uc$r[bµ
6
nl[zRczquv[i%/|HmvrlnlZ\mvzqpqnlcM|¶_{a[^}D] sDZl[qijc$r\rl[^Z\r7_b}R|
9
nl[zRc_uo[qi$_{u
_{ZlZj_M¨Mkqc$}y^n\kqccjqcijpqn\mv[^}n\mvacµ@[UZdY*mv}<ijuvp<|Hcrs<_b]Uc®Zlmvnlc%µ£_bpquvnlr_{}<|sR_b]^ca5mv]^Z`_{nlmv[^}¡Krl®_bs<¤mµ«nlkqcuv[qi$_{uqac$a5[^Z\
mvr%}q[^nu§_{Zl]^cc$}D[^pq]Ukn\[rln\[^Zlc
6
¨q°c}<ijc^y
[$# ¡º
¤&%(' )+*
j,'.-
)0/
*1
C324¬r\pqs65789
9
9;:=<
?>
j,@BA
<DC FE
G H
j
I
KJML NPO
OO
e@WRQS C
KJML
¡£^¤
®kDc$Zlcn\kqcs<_bZj_ba5c$nlc$Z\rrlnj_b}<|µ@[UZh
uv[H[^s/zR[^pq}<|
Z\mo]UkHnk<_b}<|5r\m¥|cc¦^_buvp<_bn\mv[^}nlmva5c
[^}qca5c$a[UZl7_Ui$ijc$r\rX|c$u§_M
)
[^}qcs<_{]^crlmv³$c¡K}Hpqaz<cZ±[{µ
6
cuocac$}Hnlrmv}/_s<_b]Uc¤
}HpqazRc$Z%[bµ¯sDZl[qijc$r\rl[^Z\r
24 s<_{]^cfµx_{pquvn±r\c$Zl¦Hm§ijcnlmvac
¸mv}qmvnlm§_{uouv7_M¦^_{mvu¥_{zquvcuv[i_bu«aca[^Z\µ@[UZ
6
s<_b]Uc$r
KJTL
s<_{]^camv]^Zj_bn\mo[U}7r\c$Zl¦Hm§ijcnlmvac
I
UJML
}pDaz<c$Z[{µ¯s<_{]^c$ra5mv]^Z`_{nlc|s<cZrl®_bs/[^sRc$Z`_{nlmv[^}
kqccjqci pqnlmv[^}nlmvac%µ@[UZ6q mvrh
VXWm= ' *
¡ ºLYEL/¤[Z C 24 ]\ C
UJML
¡£^¤
®kDc$Zlc_^ rln`_{}<|Hrtµ@[^ZnlkDc}HpqazRc$Z[bµ6sR_b]^cµx_bpDuon\r7_b}R|`\ n\kqc}HpqazRc$Z[{µs<_{]^camv]UZ`_bn\mv[^}qrM¨<kDc$rlc/n£®%[3s<_bZj_ba5c$nlc$Z\r
|c$s<c}<|/nl[_t]^Z\c_bnc n\c$}Hn6[U}n\kqcZlpq}Hn\moa5c6¦^_{uopDc$r[bµ
9 ¨
gfr±n\[7n\kqc%© yHnlkDc6cjqcijpDnlmv[^}/nlmva5cmo}Rijuvp<|Hc$r_sDZlcijcM|Hmv}q]sqk<_{rlcnlk<_{ni [^asDpqnlc$r%nlkDcpDsqs<cZ6_b}<|uo[b®%c$Z%z<[Upq}<|Hr%[bµ
i\kHpq}Hrf[bµ
6
¦HmvZlnlpR_buvuv_bn\nlZ\mozDpqnlc|nl[5c_^i\k*sqZl[qijcrlrl[UZ7|Hc$sRc$}<|mo}D][^}nlkqc®mv}<|H[b®[bµ
6
|HcQR}qc|*mv}Y& [\É£uo[H[Us¢¡@mv}¶i$_{rlc
6
kR_bra[UZlcfnlk<_{}a c$uvc$ac}n\r`¤¨qkHpqryHmvnmvrh
bced =gfih8[_f$[ ¡ R
¤ij5mv}Hµk%('.-
)/
* C )
el-
)0/
m C )
[Y5-,
I
¡ C) ¤1
¡K¤
®kDc$Zlcf$[morn\kqc6n\moa5c}qci c$rlrj_bZl5nl[c¦^_buvp<_bn\cnlkqc6i [^}<|Hmvn\mo[U}T¨^ci$_buvuqn\k<_bn nlkqc$Z\c6mvr}q[s<_{]^c%µx_{pquvn%¡@}q[UZs<_b]Ucamv]^Zj_bn\mo[U}<¤
mv}5nlkqmvr6i$_{rlc^¨D[^}/nlkqct[^nlkDc$Zk<_b}R|«yHnlkqc%© *a_Mmo}Hn\Zl[q|Hp<ijc_r\uomv]Ukn%uv[_U|mvaz<_bu§_{}<ijc6|Hc$sRc$}<|mo}D][^}/nlkqcs<_{]^crlmv³$cU¨
`ba8c`bd
) ),, * ) ,* * , * , ) ,*
fqb¢ÀMR7^q7§Ä96
©£}*[^Zj|Hc$Znl[/Zlc|p<ijcn\kqc}HpqazRc$Z[bµs<_bZj_bacnlc$Z\rn\k<_bntZlpquvc[^pDZX_{}<_buvHnlm§i$_{ua[q|Hc$u£yq®%c|HZ\[^s¢nlkDcs<_b]Uc7a5mo]UZ`_{nlmv[^}
sDZl[^zDuoca¶¨R©£}[Unlkqc$Z®%[^Z`|ry®±c/_brlr\pqacn\k<_bnc_Uilk¬sqZl[qijcrlrl[UZk<_brc$}q[Upq]^k¬uv[i_bua5c$a[UZl/nl[*rln\[^Zlc5nlkqc5®kq[^uvc5[bµmon\r
®%[^Z%Hmo}D]rlc$nM¨qgfuon\kq[^pD]^knlkDmor6_{rlr\pqasqn\mv[^}|H[Hc$r}q[^nmv}HnlZ\[q|Hp<ijc_b}HZlc$r\nlZ\m¥i nlmv[^}5µ@[UZq _{}<|%© y^mvn%rlc$c$a5rnl[z<c¾Upqmvnlc
pD}qZlc_{uvmor\nlm§iµ@[^ZdMY¬mo}R|Hc$c|«¨RÈq[UZln\pq}<_bn\c$uvyHmv}5[^pqZcjqsRc$Zlmva5c$}HnlryR_b}3_br\Hasqn\[^nlm§i$_{u<zRc$k<_M¦Hmv[^ZkR_brzRc$c$}3Z\c_^i\kqc|rln\mvuou«n\kqc
sDZl[^zDuoca r\mv³$c$r®%c6pqr\c|(Q<n±mv}_trlmv}q]UuocsDZl[qijc$r\rl[^Zr6aca[^Z\¨M%[^}qr\c¾Upqc$}Hnluv3yH®%c_{rlrlpDacnlkR_bn7VN
:=<
> j @ A
<DC E
G H
mo}
cM¾^pR_bnlmv[U}_b}R|\~= Wmv}/c¾Up<_{nlmv[^}/q¨
qsRc$Zlmva5c$}Hnlrkqc$u§|[^}¢_U5}q[q|Hc$r©£}Hnlcum§Yq¼^W¡H½6ÆgÇf¤7_{}<|¶_/U}q[q|Hc$r½6c}<|q_buvu±D¾^pR_bZlc½qtda/_^i\kqmv}qc$r
uvc|nl[n\kqcs<_bZj_bacnlZlmv³_{nlmv[^}|c$sqm§ijnlcM|mv}5n`_bzDuocdU¨^gi$ij[^Zj|Hmv}q]nl[n\kqc$r\c¦^_buvpqc$rMy^n\kqccjqcijpqn\mv[^}3n\moa5c$rsqZ\c|Hm§ijn\mo[U}/[bµ¯n\kqc
i [^asDmou§_{nlmv[^}nlcMilkD}qm§¾^pDc$rµK[^Z¦^_{Zlmv[^pqruv[H[^srlmv³$c$r%mvr±|H[U}qc^¨HÈTmv]UpqZlc$rd_b}<|XZlc$sR[^Z\n±n\kqmvrsqZlcM|Hm§ijnlmv[^}mv}n£®%[i$_br\c$rhFQ<Z\rlnluvHy
[U}quv¸_trln\[^Z\c[Us<cZ`_bn\mv[^}mvr_br\rlpqa5c|n\[7zRc6cjqci pqnlc|Wzmvn\c$Z`_{nlmv[^}/_b}<|rlcij[U}<|HuvHyH®±c_brlr\pqacfnlk<_{n±n\kqc6Z\mv]^kHn±kR_b}<|rlm§|Hc
i_buvuvr6_KWq¨Ý{ar|Hc$u§_Mµ@pD}<ijnlmv[U}T¨ ÝHc¾/Drln`_{}<|Hrfµ@[UZ_b}/cjqci pqnlmv[^}*mv}3_sqpqZ\c7r\c¾Upqc$}Hnlm§_{u¯c}¦HmvZl[U}qac}nM¨qHc$n\nlmv}q]_{rlm§|Hcn\kqc
c Di c$sqnlmv[U}¶[{µ±nlkqc½qtd®mvnlkºda5c$a[UZl/_^i$ijcrlr7_{rX_5Z\mo]UkHn6k<_{}<|3r\m§|Hc7sRc$Zmvnlc$Zj_bn\mo[U}TyRnlkqc%© »s<cZ£µ@[UZlarfµx_{mvZluv®%c$uvu
[U}¶zR[^n\k_{Z`i\kqmvnlcMijnlpqZ\c$r¨kDc7r\s<c$cM|HpqsOi [^asDpqnlc|Wµ@[UZX%©¬®mvnlkMWq¨Ý{arsRc$ZZlkDrmvrZ\[^pq]Ukquv/c¾Up<_bun\[3)Wq¨RgfrZlc$]H_bZj|Hr
n\kqc7½qtd^yqn\kqca5[^rln%rln\ZlmHmv}q]µx_Uijnmvr6n\k<_bn6_rlpqzqsR_b]^cXµx_bpquvnr\c$Zl¦Hm§ijcnlmvact¡rTq¨Ý«r`¤%mvr_¦Uc$Zl/uv[b®[b¦Uc$ZlkDc_^|«¨g¢capqr\n
casqk<_{rlmv³$cfnlk<_{n[b¦^c$Z6UsqZ\[qijc$rlr\[^Z\ry«n\kqcrlpDzqs<_b]Ucfµx_bpquvn%rlc$Z\¦Hm¥i cnlmvacfz<cMij[^a5c$r6)D¨«r_bn%uvc_br\n¨
fihM¡
) ¤ f$[$¡
) ¤
¡
) ¤ r 24 ¡
) ¤
m§Yq¼U d<¨Ý^ dU¨H Wq¨Ý qd U^^
½frlZ R¨U WD¨!T Wq¨Ý d Tq¨ÝXÉ)W
_bzDuocd)Hgf}<_buvHnlm§i$_{u«a[q|Hc$u«s<_{Z`_{ac$n\Zlmv³_bn\mv[^}
0 0.2 0.4 0.6 0.8 1
1024 16384 32768 49152 65536 81920 98304
Time (s)
N
1P
CIL Seq
0 10 20 30 40 50 60
1024 16384 32768 49152 65536 81920 98304
Time (s)
N
1P Seq
CIL
¡£_^¤%Z\kqr= duv[qi$_bu«a5c$a[UZl7_Ui$ijc$r\r ¡@z<¤%Z\kqrS=VWq¨Ýba5r±|Hc$u§_M
Èmo]UpqZlcd!qYZlc|m¥i nlc|cjqcijpqn\mv[^}/nlmvacr±[U}m§YD¼^ ½6ÆgÇ ¡x^tsqZ\[i r`¤
2 ci$_{pqrlcn\kqccjqcijpqn\mv[^}3n\moa5c[bµq |Hcs<c$}R|Hr6[U}_b}/pq}g}D[b®}s<_{Z`_ba5c$nlcZ±®kqm§i\kmvrn\kqc}pDaz<c$Zi^*[bµs<_b]Ucµx_{pquvnlr
[qi$i pqZlZ\c|/|HpqZlmv}q]tnlkqcfcjqcijpqn\mo[U}TyUnlkqcQ<]^pqZ\c$rijmvnlc|5_bzR[b¦^c6|H[}D[^nmv}<ijuvp<|cq ijpDZl¦^cr¨Hg6r%c$¦Hm§|Hc$}<i c^y^¶|c$s<c}<|Hr[^}n\kqc
Z\pq}Hnlmvacf¦^_buvpqc$r[{µ
9
¨qÆfpqZ_{}<_buvHnlm§i$_{u«a[q|Hc$uRuvc_^|rnl[nlkDcµ@[^uvuv[b®mv}q][b¦Uc$Zlc$r\nlmva_{nlmv[^}[{µU^±yH[b¦Uc$Z®kqm§i\k3%©*s<c$Z µ@[^Z\ar
zRc$n\nlc$Zfnlk<_{}WD
V W bced =Ux ^ ^ =
¡º
¤
<
G )
65¡0
)
¤ [f
h f [
24
kDmoruvc_U|Hrnl[n\kqc7ij[U}<ijuvpqr\mo[U}/nlk<_{n}q[a[UZlc6n\k<_b}3_Ui$ijc$r\rlc$rsRc$Zfnlc$}3n\kq[^pDr`_b}R|Hr6r\kq[^pqu§|5zRcZ\c$a[Unlc_^iijc$rlr\c$r[U}n\kqc
m§YD¼^qyU®mvnlk¢duv[qi$_buT_Ui$ijc$r\r_br6_Z\kqr6_b}R|UsqZl[qijcrlrl[UZlrMyqµK[^Z6q nl[sRc$Z µ@[^Z\a _{r®±c$uvuT_{r6%©¨H©Kµ®±cij[U}qrlm§|HcZSWq¨Ý{ar
sRc$ZZ\kqry?^ mvrcM¾^pR_bun\[W5Z\c$a[Unlc_^i$ijcrlrlcrsRc$ZnlkD[^pqrj_b}<|«¨Hmv}<ijcmvZlZ\c$]^pqu§_{Z7_bsqsDuom§i$_{nlmv[^}Dr6cjqkqmvzqmvnuvc$rlruv[qi$_{uomvn£3n\k<_b}
n\k<_bnMyH®±ci$_{}/rlnlZ\[^}q]Uuvmv}Hµ@c$Zn\k<_bn6%© sRc$Z£µ@[UZla5r%µx_bZ%z<cnlnlcZn\k<_b}3q »¨
c$]_{Z`|Hmv}q]/nlkDc½Dd^y²nlkqc5rlmvnlp<_{nlmv[^}*mvr}q[Unrl[¶i uocM_bZ¨²©£}¢nlkqmvr7i$_{rlc^y;^ mvrc¾Up<_bu%nl[¬d^d^¨Ts<c$Zijc$}Hn_b}<|¢U)W5sRc$Z
i c$}Hnµ@[UZduo[qi$_{u±a5c$a[UZl¶_Ui$ijc$r\r_b}<| Wq¨Ýba5r|Hcu¥_M_{r¸_WZlkqrZ\c$rlsRcijn\mo¦Uc$uv¨©Kµ6n\kqc5µ@[^Z\ac$Z¦^_{uopDc|H[Hc$r\} n¸_{uouv[b® _b}H
?F E
* ) ) * * )
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35
1024 16384 32768 49152 65536 81920 98304
Time (s)
N
CIL Seq 1P
0 10 20 30 40 50 60
1024 16384 32768 49152 65536 81920 98304
Time (s)
N
CIL 1P Seq
¡£_^¤%Z\kqr= duv[qi$_bu«a5c$a[UZl7_Ui$ijc$r\r ¡@z<¤%Z\kqrS=VWq¨Ýba5r±|Hc$u§_M
Èmv]^pqZ\cqYZ\c|Hm§ijnlcM|/cjqcijpqn\mv[^}3n\moa5c$r%[^}3½q6¼Dd¡£^tsqZl[qijrj¤
i [^}<ijuvpqr\mv[^}TyRnlkDc$Zlcmvr}D[|H[Upqzqn_{z<[Upqnnlkqcu§_bn\nlc$Zf[^}qcbRmvn6[Uz¦Hmv[^pDrluvr\n`_bn\c$rn\k<_bnq sRc$Z µ@[^Z\ar_UijnlpR_buvuvzRc$nln\c$Z7n\k<_b}
%© ¨«Çc$¦Uc$Zln\kqc$uvc$rlrMyT®%capqrlnfs<[Umo}Hnf[^pqnnlkR_bnµK[^Z¦^c$Z\3rla/_buvu«¦^_buvpqcr6[bµÇ ¡jdEWUb¤y«%© ¢ZlcM_^i\kqc$rn\kqc}qc_{Za_Mqmvapqa
c ·ijmvc$}<ij5[^}n\kqc½qdt¡rWD¨U^¤¨H[RyHmv}¦Hmvc$® [bµ_buvu£y^®%ca_M7_{rlr\pqacfnlk<_{nyq_ba5[^}q]tnlkqcnlkDZlc$cnlcrlnlcM|«y«%© 3mvrnlkDca5[^r\n
mv}HnlcZlc$r\nlmv}q]_bsDsqZl[H_^i\k/c$¦^c$}m´µnlkqc½qtd¡@pqs/nl[^sDZl[qijc$r\rl[^Z\r`¤fmvr6_b}/_bnln\Z`_Uijnlmv¦^cta_^i\kqmv}qcU¨
ÀHR7¢À68H8Z7xÅq7KÄ 6
[7_Ui$ij[^pD}n µ@[UZ±n\kqcH}q[b®}c$uvc$a5c$}HnlrMy^mvn%k<_br%z<cc$}c$r\nlmva_{nlc|nlk<_{n±%© s<c$Zµ@[^Z\arzRc$n\nlc$Zf[^}nlkDc6m§Yq¼U®kqmvuvc6}q[
r\nlZ\[^}q]ij[U}<ijuvpqr\mo[U}/®_{rmo}µ@c$ZlZ\c|/[U}n\kqc½qdfµ@[UZ6ij[^r\nluvc$r\r6Zlmv]UknkR_b}<|5rlm§|Hcr¨<[_brnl[µ£_^|Hc_b}H/|H[^pqzDn6_bzR[^pqnmvnyH®%c
c sRc$Z\moa5c$}Hn`_{uouv5c$¦^_buvp<_{nlcn\kqc7n\kqZlccij[^a5sqmvu¥_{nlmv[^}5r`i\kqc$a5c$r¨²©£}_U|q|Hmvnlmv[^}yqcjqsRc$Zlmvc$}<i cmorpqr\cjµ@pqu nl[KH}q[b®kD[b® ijuv[^rlcmvr
[UpqZrlmva5squvc6_b}<_{uoHn\m¥i_buRa[q|Hc$u«n\[7n\kqcZlcM_buvmvn£¨
ÈD[^ZsDpqZlsR[^r\c$r±[{µTcjqs<cZlmvc$}<ijcUy<_Zj_b}<|H[Ua sRc$ZlapDn`_bn\mv[^}k^/mvr]^c$}Dc$Z`_{nlc|5_b}<|r\nl[^Z\c|mv}Hnl[
9
µ@[UZ±|Hmª«c$Zlc$}Hn%¦^_buvpqc$r [bµ ¢¨
kDc$}TyRnlkqc&#[uv[[Us/morcjqci pqnlc|¢_Ui$ij[UZ`|Hmv}q]5nl[/nlkqc%©_{}<|3q r`i\kqcac$r®mvnlk3n\kqcr`_ba5csRc$Zlapqnj_bn\mo[U}T¨<Ç[^n\m¥i cnlk<_{n
r\mv}<ijcnlkDc$Zlcmvr}q[/s<_b]Uc7a5mv]^Z`_{nlmv[^}y^n\kqcs<cZlapqnj_bnlmv[U}3mvr}D[^nmvasR[^Zlnj_b}Hn®mvnlk*Zlc$r\s<cMijn7n\[/nlkqccjqci pqnlmv[^}*nlmva5c[bµdMY¨
kDcc sRc$Z\moa5c$}Hnlr6ij[U}<|Hp<i nlc|/[U}/nlkqcm§YD¼^ij[^}AQRZla [^pqZsqZ\c|Hm§ijn\mo[U}3_brmvn±mvrr\kq[b®}/[^}YQ<]^pDZlcq¨
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2
1024 16384 32768 49152 65536 81920 98304
SpeedUp
N
Pre.CIL Exp.CIL Exp.SM Exp.1P
0 5 10 15 20 25 30
1024 16384 32768 49152 65536 81920 98304
SpeedUp
N
Pre.CIL Exp.CIL Exp.SM Exp.1P
¡£_^¤%Z\kqr= duv[qi$_bu«a5c$a[UZl7_Ui$ijc$r\r ¡@z<¤%Z\kqrS=VWq¨Ýba5r±|Hc$u§_M
Èmv]^pDZlcqsRc$Zlmva5c$}Hn`_buT_{}<|sDZlc|Hm§ijn\c|*Hs<cc|sDr6[bµ:&#[[^}/nlkDcm§Yq¼^¡xUsDZl[qijr`¤
Æf}*nlkqcij[U}HnlZ`_{ZlHy«nlkDccjqs<c$Z\mvac$}Hnlrkqcu¥|[^}*nlkDc½Ddrlkq[b®%c|nlk<_{nnlkqcQ<Z\rlnuvc$¦Uc$u±i$_Ui\kqc/¡@®kqm§i\k*mor}q[Unn`_#Uc$}
mv}Hnl[_Ui$ij[^pD}n%mv}[^pqZ%a[q|Hcu¥¤squ§_MHr±_{}moa5s<[UZlnj_b}HnZl[^uvc^¨{kqmvr±mvr®kHnlkqcfac_{rlpqZ\c|%© /r\s<cc|Hpqs/mvr}q[Un±r\[7ijuv[^r\c6nl[tmon\r
i [^ZlZ\c$rlsR[^}R|Hmv}q]sqZlcM|Hm§ijnlmv[^}µ@[^Z nlkqcij[Urlnluvc$r\rZlmv]^kHn%k<_b}R|rlm§|HcU¨qÈqpqZ\nlkqcZla[UZlc^yUnlkDcXD r`i\kqcac6r\c$c$a5r±n\[7sRc$Z£µK[^Zlaz<c$n\nlc$Z
n\k<_b}nlkqc7%© »[^}qcXµ@[^Zfnlkqc$r\c¸i [^rln\uvc$rlrZ\mv]^kHnk<_b}R|/rlm§|Hc$rM¨«c$]H_bZ`|mo}D]nlkqccjqs<c}qrlmv¦^cZlmv]Uknfk<_b}R|r\m§|Hc$ry²nlkqcsDZlc|Hm§ijn\mv[^}
®_br%Zlmv]UknM¨qÈmo]UpqZlczRc_bZ\r6®mvnl}Dc$rlrfnl[nlkqmvr¨
`ba8c`bd
) ),, * ) ,* * , * , ) ,*
0 0.5 1 1.5 2 2.5 3 3.5 4
1024 16384 32768 49152 65536 81920 98304
SpeedUp
N Pre.CIL
Exp.CIL EXP.SM Exp.1P
0 2 4 6 8 10 12 14 16
1024 16384 32768
SpeedUp
N
Pre.CIL Exp.CIL Exp.SM Exp.1P
¡£_^¤%Z\kqr= duv[qi$_bu«a5c$a[UZl7_Ui$ijc$r\r ¡@z<¤%Z\kqrS=VWq¨Ýba5r±|Hc$u§_M
Èmv]^pqZ\c2qs<cZlmvac$}Hnj_buT_b}R|sqZ\c|Hm§ijnlcM|¶HsRc$c| sqrf[bµ:&#[[U}/nlkqc½qd¡jdtsqZl[qijrj¤
W±#b!2#f#
gfr_{uoZ\c_^|ac}n\mv[^}qc|²y%©rlpª c$Z\r5µ@Zl[Ua n\kqc/µx_Uijnnlk<_{n_{uoufnlkqcsqZl[qijc$r\rl[UZlr3mv}H¦^c$r\nlmv]_{nlc3_buvun\kqc¶mvn\c$Z`_{nlmv[^}qrM¨kqmvr
[Us<cZ`_bn\mv[^}sDZlc$¦Uc$}HnlrµKZl[^a rji$_bu§_bzDmouvmvn£_b}<|rl[^a5c$nlmva5c$rµ@Z\[^a cj·ijmvc$}<i 3¡@[U}/nlkqc½qdµ@[UZ±mv}qr\n`_b}Rijc¤$¨H[_buvuvc$¦Hm§_bnlcn\kqmvr
sDZl[^zDuoca¶yU®±cpDrlc_uocM_bZl}Dmo}D]nlci\kq}qm§¾Upqcn\k<_bnfn`_^c$r_^|H¦^_{}nj_b]Uc6µKZl[^a nlkDc>Q<Zlr\n6mvnlcZ`_bn\mv[^}/nl[5c$}qk<_{}<ijcn\kqc7c ·ijmvc$}<ij/[bµ
n\kqcfµ@[^uvuv[b®mv}q]mvnlc$Zj_bnlmv[U}qr¨Dkqca[q|Hc$u«uv[H[^s5mor>
*-,N021U3
H
N2.E5P(
*-, .)021U35
6879:7 .;<; 0
6?7@9:7
.;A; CFCEC
G!HI
*-,
G!HI
*-,
kqcmv}q}qc$Ztuo[H[Us¶i$_b}*zRcsqZl[qijc$r\rlc|»zH¶%©º_b}<|nlkqc[UpqnlcZuv[H[^s¢i$_{}¶zRcpqrlcM|*nl[i [^uvuvcijnmv}Hµ@[UZla/_bnlmv[U}_bzR[^pDnn\kqc
|D_bn`__^iijc$rlrfs<_bn\nlc$Z\}3nlkR_bn|H[Hc$r6}q[Uni\k<_{}q]^cfµ@Z\[^a [U}qc6mvn\c$Z`_{nlmv[^}/nl[_b}D[^nlkDc$Z¡@n\kqc g6Ç:uv[H[^s<¤¨H[RyHnlkqca5[|c$u<uv[H[^s
i mon\c|/_bzR[b¦^cmvr±n\Z`_{}qr£µ@[UZla5c|5mo}Hn\[7n\kqcfµ@[^uvuv[b®mv}q]7ij[q|Hck
N021
0
*-,/.)021U35
.RJ
7 ,
H
N5OP P ,
H N g.
H . H 6879:7
.;<;A; N5OP
H
6879:7 .;<; 0
6?7@9:7 .;A;
CFCEC
0
-1
N9P
5N2.),
H 7
;~0P.
P
HI .RJ
G!HI
*-,
*-,N0:3
H
N2.E5P(
*-, . 021U3
. 0 N9P
N2.), Hb7
. ;
6879:7 .;<; 0
6?7@9:7
.;A; CFCEC
G!HI
*-,
G!HI
*-,
kqci [|crlkD[b®±c|¢_{z<[b¦Ucmvrcjqcijpqn\c|¬zH_{uoun\kqcsqZ\[qijc$rlr\[^Z\r_b}<| N P 5N2.,
H
mvr_/sqZlmv¦^_{nlc_bZ\Z`_MH¨«k<_{}Hrnl[
n\kqmvr_{ZlZj_MyUnlkqcsqZ\[qijc$rlr\[^Z\rX|[7}q[Un±}Dc$c|/n\[7cj<_{amv}qc6_buvuRnlkqcmvnlcZ`_bn\mv[^}qr6_{}Ha5[^ZlchUnlkDmormvr|H[^}Dc[U}quv7[U}<ijc_bnn\kqc$Q<Zlr\n
mvn\c$Z`_{nlmv[^}5[bµ¯n\kqc[^pqn\c$Zla5[^r\n±uv[H[^s/¡Knlkqcuvc_bZ\}qmv}q]uo[H[Us<¤$¨H%[^}qr\c¾Upqc$}HnluvHyHnlkqctnlmvac[b¦Uc$ZlkqcM_^|mvrZ\c|Hp<ijcM|/®kqmvuvc_trlnl[UZ`_{]^c
[b¦Uc$ZlkDc_^|t[bµ«rlmv³$cU¡5*
1A #"0 S
0#%% 40&%
¤mvr}qc$c|c|«¨H©£}tµx_^ijnMybnlkR_bn[b¦^c$Z\kqc_U|a_M6zRca[UZlc%[^Zuvc$rlr u¥_{Zl]Uc|Hcs<c$}R|Hmv}q]
[U}3nlkDc_^ijn\p<_bu§¼b¦HmvZln\p<_bus<_b]Uc7[b®}Dc$Zlr\kqmvs|Hmvr\nlZlmvzqpDnlmv[^}¶_{}<|nlkqc_^ijn\p<_bu¦^_{uopDc$rmo}
9
¨R©Kµnlkqcpqr\c$Zk<_{rr\[^a5chH}q[b®uvc|H]^c
?F E
* ) ) * * )
_{z<[Upqnnlkqcrlcn£®%[6s<_{Z`_ba5c$nlcZlr¡µ@[^Z_6]Umv¦^c$}sDZl[^zDuoca¤$yMkqci$_{}7mv}qr\c$Zln±_|HmvZ\cijnlmv¦Ucnl[_{uvuo[qi$_{nlc_fa[^Z\crlpDmonj_bzquvc±_U|q|Hmvnlmv[U}<_bu
r\nl[UZ`_b]Uc^¨
!"* $t! t X±#$
¢c_U|q|HZlcrlr6}D[b®mvrlr\pqc$rfZlc$u§_bn\c|/n\[nlkqc7_{pqnl[Ua_{nlm§iij[q|Hc]^c$}qcZ`_bn\mv[^}/[bµnlkDcX%©¬_b}<| gfÇyq_b}R|/nlkqc}®%csqZ\c$rlc}n
r\[^a5c6cjqsRc$Zlmvac}nj_bu«Z\c$rlpquvn\r6[^}5nlkqctm¥Y q¼^_b}<|5n\kqc½Dd^¨
"%$ $;7= 1<1c+-1 '2 6) ;+
©£}¬nlkqmvrrlci nlmv[^}Ty®%c3|Hc$rjijZlmvzRc3nlkqc/ij[^a5sqmvuvcjÉxn\mvacr\pqsqsR[^ZlnµK[^Z[^pqZ[^sqn\mvamv³_bn\mv[^}qrM¨<©£}R|Hc$c|«y kqmv]^k¢uvc$¦Uc$upqrlcZ£É£mo}Drlc$Z\nlc|
_{}q}q[Un`_bn\mv[^}qr7_{uvuo[b® _{pqnl[Ua_bn\m§i7ij[q|Hc/]Uc$}qc$Zj_bnlmv[U}O[{µzR[^n\kO%© :_b}<| g6Çmv}q]*nlcMilkD}qm§¾^pDc$r¨ kqc3ij[^a5sqmvuocZpDrlc|ºmvr
X 40
, 0 ) 1 @ od%l¨Hkqcr\[^pqZjijcij[q|Hcmvr_trlnj_b}<|D_bZ`|¡Krlc¾Upqc$}Hn\m¥_{u§¤Èq[UZlnlZj_b}-T!T7i [|c®kqc$Z\cX_{}q}q[Un`_bn\mv[^}qr%k<_M¦^czRc$c$}/mv}qrlcZlnlcM|
n\[7c sDZlc$r\r6s<_{Z`_buvuvc$uvmvrlamH®kqm§i\k3|q_bnj_mvr%rlk<_{Zlc|«yD®kqm§i\kuv[H[^s5mvr±s<_{Z`_{uouvc$u£yUc$n`i CECFCkqc[^pDnlsqpqnmvr_Èq[UZln\Z`_b}/qY 3¹ ij[q|Hc
nj_bZ\]^c$n\c|*nl[/nlkDc|Hc$rlmvZ\c|*s<_bZj_buvuvc$uH a_Ui\kqmv}qc^¨RgnsqZlc$r\c$}Hnynlkqcr\pqsqsR[^Z\nlc|*a/_^i\kqmv}qc$r_bZlcn\kqc©£}Hnlc$u m¥Y q¼^Dy<n\kqc
½fc$}R|q_buvuTq¾Up<_{Zlc7½qtd_{}<|5nlkqc©£}Hnlc$uY_bZ`_{]^[U}Y ¼^«¨
kDc$}n\kqcpqrlc$Z6|cijm§|Hc$rfnlk<_{n_tuv[[Usapqrln z<ccjqcijpDnlc|3_Ui$ij[UZ`|Hmv}q]nl[nlkqc%© r`i\kqc$a5c^yHkqcfmo}Drlc$Z\nlr_{}_{}q}q[^nj_bn\mo[U}
zRcjµ@[UZlcnlkR_bnuv[H[^smv}/kqmvrrl[UpqZ`i csqZl[U]^Zj_ba¶yH_br%µK[^Z%mo}Drln`_{}<ijcK
L
HAH %L 9:76
% % L 3
9L
;
*-, .)021U35
6879:7 .;<; 0
6?7@9:7 .;A;
:79 !7 .;A;
G!HI
*-,
ÈD[^Z\nlZ`_{}HÉl3]Uc$}qc$Zj_bnlcr_bpqn\[^a_{nlm§i$_{uouvn\kqcij[^Z\Zlc$r\s<[U}<|Hmv}q]¢ij[q|Hc^¨©£}¢nlkqmvrc D_{asquvc^yDnlkqc5pqrlcZ7k<_{rilkD[^rlc}O_5¦HmoZ\nlp<_{u
zDuo[qi%|Hmvrln\Zlmvzqpqn\mv[^}º[bµnlkqc3sR_b]^cr[bµ
6
y_b}<|¬nlkHpqrMyn\kqc/mon\c$Z`_{nlmv[^}Dr[bµnlkqc/uv[H[^s¬®mouvuzRc3cjqcijpDnlc| [^}¬nlkqc¶_U|Hc¾Up<_{nlc
sDZl[qijc$r\rl[^Z\r¨R®%[[^nlkDc$Z[^sqn\mv[^}qr6_{ZlcsqZl[b¦Hm§|Hc|"
L
H<H %L#9 76
% % L 3
LL!9 KL
;
®kqm§i\k/mv}<|Hm§i$_bn\c$r6_t¦mvZ\nlp<_{u¯ijqijuvm§i|HmvrlnlZ\mvzqpqnlmv[U}[bµnlkqcts<_b]Uc$r[bµ
6
L
H<H %L#9 7 *
( L
;
n\[7pDrlcn\kqc7_^i nlp<_{uT|HmvrlnlZ\mvzqpqnlmv[U}[{µ¯n\kqcs<_b]Uc$r6[{µ
6 ¨
[n`_#Uc_^|H¦^_{}nj_b]Uc6[bµnlkqc g6Çmv}q]nlcMilkD}qm§¾^pDc^yqn\kqcpqr\c$Z6mv}qr\c$Zln\r6n£®%[¸_{}q}q[^nj_bn\mo[U}qryq_{r%µ@[^Z%cj<_ba5squvcc
L
HAH q9 P
Hb7 1A;
*-,N021U3
H
N2.E5P(
L
HAH %L#9:7B6
% % L 3
9L
;
*-, .)021U35
6879:7 .;<; 0
6?7@9:7
.;A; CFCEC
G!HI
*-,
G!HI
*-,
®kqcZlcn\kqcs<_bZj_bacnlc$ZdµK[^Z%nlkqc
9
P
H
_b}q}D[^n`_{nlmv[^}5mv}<|Hm§i$_bn\c$r%®kqm§ilk/mv}q}qcZ±uv[H[^sqr%nl[mv}H¦^crlnlmv]H_bnlcfmv}i$_{rlcnlkqcZlc7_{Zlc
r\c$¦^cZ`_bu[^}qcr¨
"0/ -.1c')D9 1c+ 6
[r\kq[b® n\kqc7mva5s<_^ijn%[bµ%nlkqcuvc_bZ\}qmv}q]n\ci\kq}qm§¾Upqc7[U}3nlkDc¸%© »moa5squvc$ac}nj_bn\mo[U}TyU®±c7i_bZlZ\3[^pDnr\[^a5cc sRc$Z\moa5c$}Hnlr[^}
zR[^n\knlkqcm§YD¼^_b}<|n\kqc6½qdU¨ mvrpqr\c|_{r±_fuv[[Us7a5[q|Hc$uq®mvnlk_Z\mo]UkHn¯kR_b}<|r\m¥|c[bµ8Wq¨Ýfar|Hc$u§_Mµ@[UZnlkDcm¥Y q¼^
_{}<|3dpqr6|Hc$u§_Mµ@[^Z%nlkqc½Dd_bnc_Uilkmon\c$Z`_{nlmv[^}yHnl[n`_#Ucmo}Hn\[_^i$ij[Upq}Hnnlkqcij[Uaapq}Dm¥i_bnlmv[U}7n\[ij[^a5sqpqn`_{nlmv[^}Zj_bn\mo[[bµ
cM_^i\k¢a_UilkDmo}Dc^¨Rkqcmv}<|HmvZlci nlmv[^}_{ZlZ`_M :mortzqpqmvuvn[U}¶n\kqczR_brlmvr[{µ|D_bn`_/_{Zlmvrlmv}q]5µ@Z\[^a mvZ\Zlc$]Upqu§_bZn\Zlm§_b}q]Upqu§_bZacrlkqc$rM¨
kDZlc$ca5c$rlk5sqZl[Uzquvc$ar%®mvnlk/|Hmª c$Z\c$}Hn6r\mo³c$r_{Zlc7ij[U}qrlm§|HcZlc|M
YZl[Uzquvc$a }D[|c$r nlZlm§_{}q]^uvc$r ®Zlmvnlc_Ui$ijc$r\r
dU½ dU){ qdM)TU U^^!
)WU½ )WU^!W d^dU^U U)T^U^
!W)WU½ )W!T^Uqd <d^dM)!W dUb<d<W
`ba8c`bd