HAL Id: inria-00072491
https://hal.inria.fr/inria-00072491
Submitted on 24 May 2006
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
A Model-based Completeness Proof of Extended Narrowing And Resolution
Jürgen Stuber
To cite this version:
Jürgen Stuber. A Model-based Completeness Proof of Extended Narrowing And Resolution. [Research
Report] RR-4135, INRIA. 2001, pp.18. �inria-00072491�
ISRN INRIA/RR--4135--FR+ENG
a p p o r t
d e r e c h e r c h e
THÈME 2
INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE
A Model-based Completeness Proof of Extended Narrowing And Resolution
Jürgen Stuber
N° 4135
March 2001
$&%&'( ) +*,!!#.-0/123)45 67/
8:9<;>=@?BA"CD>E#FG?H;JI
KMLNPORQSTVUXWPYZ[Q]\_^a`BZ_bcZ[QP\
Qcdebcfg\hbij\lknmoOp:^a\_ZhqBijQ
rts^guvQcdMrxw yXK ze{y
w.fg|j|}^Bsnd.~Q]sQPbLQPsbLjQY:j> BTVfgsbLSgBeTPR|jfa`aQPk
7<Pcaa# QX`BZ[BQXfR|s^o^g<^gsQidfdZ[^BYjfg\bc^aO(|\_QdQPYQPkk^asM{odQcYj~Q>~efgss^ Z[Y`R .Yj~w Q>kv¡
^B\[idZ_^aY£¢{G¤ ewe¥¦<f§bPfg\hbi\_ijk]Z_YHds^~ijbQ>~¨pHm¨©e^Qcª@¦<zefgs~Z_Y«fgYj~¬®Z_sbLYjQcs]Z_Y¯dLQ7bc^aYHdQcHd^a
KMLjQc^asQcOrts^oZ_Y`]§^~i\_^j°<{Ge ¤w£Z_YBdQc`BsfgdQPk#Y}fgss^ Z_Y`X Z±dLRsQPk|:QPb²dd^f]kQdt^g@sQc sZ±dQ si\_QPk
^BY7|s^a|:^BkZ[dZ_^aYjkxZ[YHd^(faid^BOfdQ>~³jskndn¡´^as~QcsGdLQP^asQcO |s^oZ[Y`pomsQ>kn^B\[idZ[^BYl°Gy¤is|s^o^afg\_\[^.k
d^)Z_O(|}^HknQ^as~QcsZ_Y`7sQPkndsZ_bdZ_^aYjke^aY¯{Ge ¤wµfaYj~¶|s^oZ_~QPk¤`aQcYjQcsfg\sQP~iYj~faYjbm§bsZ[dQcsZhf¦@ LZhbL
fasQbcsi}bZhfg\^Bs ³jYj~Z_Y`·Yj^aYHdsZ[oZhfg\l|js^o^g¸kP°My¤YdLQ^adLQPs.LjfgY}~¦}Z[desQPqHiZ_sQ>k b^BY¹jiQPYjbQfaYj~dQPsn¡
O(Z_YjfdZ[^BY)^adLQ®sQP sZ[dQ]kmokndQPO¦fgYj~)Z[Yfa~j~Z±dZ[^BY7dLQ®QZhkvdQcYjbcQX^a<fRQc\_\±¡º^aiY}~QP~)^as~QcsZ_Y`^BY
|js^B|}^HknZ[dZ_^aYjkxdLjfd Zhk.b^BOR|}fdZ_p\_Q® Z±dLsQc sZ[dZ_Y`j¦b^BO(|jfdZ[p\_Q® Z±dL`as^aiYj~7Z[YQcsQcYjbcQPkP¦od^gdfg\^BY
`Bs^BiYj~)b\hfgijkQPkP¦fgYj~)LjfakMk^aO(Q]fa~~Z±dZ[^BYjfg\:dQ>bLYZhbcfa\|s^B|}QPsndZ[Q>kc°»oijbL^as~QPsZ_Y`BkxQZhkvdM^Bs LZ[QPsn¡
fasbLjZ_bPfg\j~Qc³jYZ[dZ_^aYjk^al|sQ>~ZhbcfdQPkP°< ¤kMfgY·QcfaO(|}Q¤xQ¤|s^oZh~QekijbL7faY·^as~QcsZ_Y`®^asMf]sfg`BORQPYHd
^a<kQd dLQc^BsmB°
¼§½H¾@¿ÀÁ Â<a faid^BO(fgdQ>~(sQ>fak^aYZ_Y`j¦Bfgid^aOfdQP~RdLjQc^asQcOÃ|s^oZ[Y`}¦asQPk^a\_idZ_^aY¦asQc sZ±dZ[Y`}¦aYjfasn¡
s^ Z_Y`j¦kªa^a\_QcO(Z_ÄPfgdZ_^aYl¦b^BYjkndsfgZ_YBdk
ÅÆÇȲÉcÊËÌͲÎËJÏnÐÑhÒ²Ë ÓDzÇÔjÕÖ²Öײײ×jÑͲÎËJÏnÐÑhÒ²ËcÖPØÆÇȲÉcʲËcÖ
]!x!<6t</ )
e^aijk~^aYjY^aYjkiYQ7|jsQPiaQ·~Q)b^aO(|\_Wdij~Q)sQcidfgdZ_^aYQP\[\_Q·|:^ais\[Q7bPfg\hbi\x{Ge ¤w]¦
Z_YHds^~iZ[dG|jfgs©e^Qcª@¦Hzefgs~Z_YQdM¬®Z[sbLYQPsG~fgY}kt\_QebcfB~sQ¤~Qe\hf~W>~ijb²dZ[^BYO(^o~i\[^}°B{xe ewµ¢{o¡
dQcYj~QP~¤fgss^ Z_Y`7 eYj~¨w QPk^a\_idZ_^aY:¥.Z_YHdNc`BsQ\_fkissWP~ijb²dZ[^BY¶|jfgsXsfg||:^asd)iYQRQcYjkQcOp\_QR~Q
sNc`B\[Q>k.~QRsWPWPbcsZ[disQkisX~QPk.|js^B|}^HknZ[dZ_^aYjk¤~fgY}ke\hfsQPk^a\_idZ_^aY¶~i|sQPO(Z[QPs¤^Bs~sQa°}.^gdsQ|sQciBQ
|:QcsO(Qd·~^apdQcYZ_s~QPk(sQPkndsZhb²dZ_^aY}k~^as~sQ)kis{G¤ ew Qd(^aisYZ[diY bcsZ[dNPsQ`aWPYWcsfg\_Q)~QsQ¡
~^aYj~faYjbQB¦jbQ>bZ|}QPsO(QddfaYBdX~Q]ds^aijaQcs.~QPk.|jsQPiaQ>kM|\[i}k.`asfgY}~QPkP°j©iY¶faidsQbc^gdWB¦\hf|sQciBQ
YjQPbQ>kkZ[dQ]\hfb^aY¹jiQcY}bQQcde\_fRdQcsO(Z[YjfaZ_k^aY§~i¶kmkvdNcO(Q~QsWcW>bsZ±disQa¦Qcde\QZhkvdQcYjbcQ~iY§^as~sQ
pjZ[QPY7^BYj~WkisM\[Q>kM|s^B|}^HknZ[dZ_^aY}kc¦b^BO(|jfdZ[p\_Q]fJaQ>be\hfRsWPWPbsZ[disQ¤Qcd.~QPkMZ_YWcsQcY}bQPk bc\[^HknQ>kc¦Hd^gdfa\[Q
kis~Q>kb\hfgi}knQ>k]b\_^BkQPkP¦:Qcd|}^HkkQP~jfgYHd]QcY|\_ijkqHiQc\hqHiQPk®|js^B|sZ_QdWPkXdQPbLYZhqHiQPkP°©¤Q(dQP\_k]^Bs~sQ>k
QcZ_kndQPYBdx|}^Bisx~Q>kG~Qc³jYZ[dZ_^aYjkGLZ_WcsfgsbLZ_qHiQ>kt~Q>kt|sQP~ZhbcfgdQ>kc°x^BO(ORQ¤QQcO(|\_Qa¦BY^ai}kG~Wc³jYZhkk^aYjk
ijY)dQc\l^Bs~sQX|}^Bis iYsfg`aO(QPYBd.~Q®\hfdLWP^asZ[Q]~Q>k QcYjkQcOp\_QPkP°
Á
>
¿
7
sfaZ_k^aYYjQcO(QcYHdfaid^BOfdZhqHiQa¦|jsQPiaQ®fgid^aOfdZ_qHiQB¦osW>kn^B\[idZ[^BYl¦osWPWPbcsZ[disQa¦okissW¡
~ijb²dZ[^BYl¦jkªa^a\_QcO(Z_ÄPfgdZ_^aYl¦b^BYHdsfgZ_YBdQPk
, -
!#6G/
©¤^xQPª@¦azefas~Z_YfgYj~(¬®Z_sbLjYQcs/.01jZ_YHds^~ijbQ.KMLjQc^asQcOµrts^HZ_Y`]§^~i\_^faYj~RZ[Y(dLjfdGbc^aYHdQcHd
dLQbcfg\hbij\[ijk{odQcYj~Q>~ ¤fgss^ Z_Y` eYj~ w.QPk^a\_idZ_^aY¢¸{Ge ¤we¥²°¤KMLQcm kL^ b^BO(|\[QcdQPYQPkk7^a
{xe ew"pom)dsfgYjkn^asO(Z[Yj`|s^o^g¸k Z_Y¶fkQPqHiQcYHdebPfg\hbi\_ijk O(^~i\_^·fb^BY`asiQcY}bQ®^aY^asOij\_fBkMZ[YHd^
{xe ew |s^o^g¸k Z±dL7sQPk|}Q>b²dd^dLQ]kfgO(Q¤bc^aY`BsijQcYjbcQesQc|sQPkQcYHdQ>~pom·fdQcsO sQP sZ[dZ_Y`RknmkndQcO¦
i}knZ_Y`bidQP\[Z_O(Z[YjfgdZ_^aY¯^asXdLjQ·knQ>qBijQcYHd®bPfg\hbi\_ijk®Z_YdLQ|s^bQPkkP°@©¤^Qcª¶fgY}~ QcsYQcs2.31GkL^
dLQ(bid®Qc\_Z[O(Z_YjfdZ[^BY¶|s^a|:Qcsdvm7^BsXdLQRbcfakQPk¤^gGz®y54¡&687#¦qHijfaYBdZ±³}Qcs¡sQcQ]dLQc^BsZ_QPkXfgY}~§|}^HknZ[dZ_aQ
dLQc^BsZ_QPkP°
zeQcsQ xQ `BZ[BQ.fgYfg\[dQPsYjfgdQ.bc^aO(|\_QdQPYQPkk#|s^o^g@pjfakQP~R^aYRdLQ.sQP~ijbdZ_^aY¡´^g¡ b^BiYHdQPsQcfaO(|\[Q>k
O(QcdL^~~QcaQP\[^B|}Q>~§^aQPs.sQPbQPYHd¤maQ>fgsk9. 1´°@KMLjZ_k®fg\_\_^.k d^)Z[O(|:^BkQ^Bs~QPsZ_Y`·sQPkndsZhb²dZ_^aY}k.^aYdLQ
bPfg\hbi\_ijkMfgY}~·|s^oZ_~Q>kxfRknds^aY`Y^gdZ[^BY7^gsQ>~iYj~faYjbmB¦o LZ_bL)Z_kMbcsijbcZ_fa\:^asMkn^B\[oZ_Y`\hfgs`aQPsG|s^g¡
pj\[QPO(kP°lKMLQ|s^o^gsQ>qBijZ[sQPk®fxQP\[\[¡º^aiYj~QP~¯^as~QcsZ[Yj`)^BY¯|s^a|:^BkZ[dZ_^aYjkX Z[dL«bQPsndfgZ_Y¯|s^a|:QcsdZ_QPk
kijbL§fakeb^aO(|jfgdZ_pZ_\[Z[dvm7 Z[dL§dLQsQc sZ±dQ]sQP\_fgdZ_^aYl°j»ijbL§^as~QcsZ_Y`BkMQcoZhknd ^as.LZ_QcsfgsbLZhbcfa\l~Q³jYjZ±¡
dZ[^BYjk]^aM|jsQ>~Z_bPfdQPkP° ekfgYQfgO(|:Q·Q·~Q³jYjQ7kni}bLfaY«^as~QcsZ_Y`^asf§kOfg\_\sfa`aO(QcYHd^a kQd
dLQc^BsmB°
:js^BO dLQoZ[QP |}^BZ[YHd(^g®fgid^aOfdQP~«dLQc^BsQPO |s^oZ_Y`Z[dZ_kRZ_YHdQcsQPkndZ_Y`¯d^kvdij~m Lj^ dLQ
dQPbLYjZ_qHiQ7^as(|s^HZ_Y`¶sQidfdZ[^BYjfg\Mb^BO(|\[QcdQPYQPkkbPfgY p:QQodQPYj~QP~ d^¨LjfgY}~\[Qkªa^a\_QcO(Z_ÄPfgdZ_^aY
^Bs®QcaQPY¯qHijfaYBdZ±³}Qcsk¤Z_Y¨^asOi\hfakP°»oZ[Y}bQ\_^a`aZhbcfa\Q>qHiZ[fa\[QPYjbQ(Zhk®\[^Hkvd®pomknªB^a\_QcO(Z_ÄPfdZ[^BYl¦@xQRLjfJBQ
d^ fa~fa|d(dLQ§Yj^gdZ_^aY&^a®k^aiY}~YQPkk(^gXdLjQ¶bcfg\hbij\[ijkfBbcbc^as~Z[Yj`a\_ma°;m bcfa|dijsZ_Y`¨dLQQ<@QPb²d·^a
kªa^B\[QPO(Z[Ä>fdZ_^aYZ[Y¯dLQ·fB~~Z[dZ_^aY¨^g $=> @?ABCD?ECFBG>?EH ¦xQ(bcfaY¯ªBQcQc|¯\[^B`aZhbcfa\<Q>qHiZ[fa\[QPYjbQ^as
O(^Hkvd ^g<dLjQ]|s^o^av°
:<Z_Yjfg\_\[mB¦Z[dZ_kZ[YHdQPsQ>kvdZ[Yj`d^¶kndij~m¨bcfa\_bci\[ZG Z±dL«piZ_\±d¡ºZ_YdLQP^asZ[Q>k®Z[Y«^Bs~Qcs®d^§Z_O(|s^aQRdLQ
QI·bZ_QcYjbcm«^g¤faid^BO(fgdQ>~dLQP^asQcO |s^aQPskP°KJ´dZhk`BQcYQPsfa\[\_m¨sQ>b^a`BYZ_ÄcQP~«dLjfgd(faid^BO(fgdQ>~dLQP^g¡
sQcO |js^BQcskeLjfJBQ|js^Bp\[QPOk¤|js^oZ_Y`7dLQc^BsQPOk¤Z_Y¯dLQP^asZ[Q>k¤ Z[dL|:QcsOidfdZ[BQRfgoZ_^aOkX\_Z[ªBQ(fBkv¡
k^bZhfdZ[oZ[dvma¦b^BOROidfgdZ_oZ±dvmB¦t~Z_kndsZ_pidZ_oZ±dvm fgYj~ dLQZ_YoaQcskQ)\hfJ0 LZhbL fasQb^BO(OR^BY Z_Y&fg\_`aQ¡
pjsfj¦fgYj~«dLQPsQ·L}fJaQp:QcQcY«fasZ_^aijkfg||s^BfBbLQPkXd^¶dLQ·Z_YBdQc`BsfgdZ_^aY^g dLQPkQ7fZ_^aOk]Z_YHd^¶|s^g¡
BQcsk5.[>¦ag¦3H¦}o¦:So¦j¦> ¦lcj¦B01´°j "knZ_O(Z[\hfgs fas`BiO(QcYHd L^a\h~kx^asMdLQ]ijkQX^aQ>qBijZ[fg\_QcY}bQPk^BY
dLQ.\_QcBQc\j^a\[^B`aZhbcfg\^asOi\hfakP°a»HdfgdQc¡º^a¡dLQ¡fgsdtsQ>kn^B\[idZ_^aYRdLQP^asQcOÃ|s^aQcsk#kni}bL·fakG»or X»»·~^f
bc\_faijkQY^asOfg\^BsO5dsfaYjkv^BsOfgdZ_^aY^aYjbcQfdedLQp}QP`aZ_YYZ_Y`j¦: LZhbL¶~QPknds^mk Z[Y|jfgsdZhbi\hfgsedLQ
Q>qHiZ[fa\[QPYjbQ>kc° Z[dL k^aO(QQ<@^asdZ[dZ_k]|:^BkkZ[p\_Q(d^§sQPbc^aYjkndsijbdXdLQ·Q>qBijZ[fg\_QcY}bQPk2._>S1fgY}~dfgªBQ
fB~fgYHdfa`aQR^gdLQPO¦pidd^§ijk]Z[dkQcQcOk]O(^BsQRsiZ±di\td^§x^Bsª¶d^Mfgs~kXijknZ_Y`dLjQcO ~Z[sQPbd\_ma°
KMLjQcsQL}fak#p:QcQcY·k^aO(QM^asª]^aY(Y^aY}b\hfgijkfg\osQPk^a\_idZ_^aYRpom';MfabLOfgZ_sfgYj~U®faYÄcZ_Y`aQPs/.[1º¦gpjidtdLjZ_k
~^HQ>kMY^gdebc^aQPsG^BsOi\_fBkM Z±dL§qBi}fgYHdZ[³jQcskP°
L
"!< c/c /]!</c
Qb^aY}knZh~QcsX³jskndn¡´^as~Qcs¤\[^B`aZhb Z[dL^Bid]QPqHijfa\[Z[dvm§ Z±dL¯sQPk|:QPb²dXd^³Q>~kQdk5M ^gx|jsQ>~Z_bPfdQ
kmoOp:^a\hkefaYj~N5^giY}b²dZ_^aY¨knmoOp}^B\_kP° Q(fakkniO(QdLjfgd!N b^BYBdfgZ_Yjkebc^aiYHdfgp\_mO(faYom7iY}b²dZ_^aY
kmoOp:^a\hk^goQPfBbL]fgsZ±dvmB¦Z[Y]^Bs~Qcsd^ |s^oZh~QtkiOI·bZ_QcYHd\_meOfgYomesQ>knL®iY}b²dZ_^aYkmoOp:^a\hk@^asknªB^a\_QcO(Z±¡
Ä>fdZ[^BYl°g .Y P Z_kf¤^asOij\_fRQTSEU$VWBXXXWU&Y[Z< LQPsQ\Q^]_M fgY}~'U$VWXXBXWU&YRfgsQxdQcsOkc°rGs^B|}^HknZ[dZ_^aYjk
fasQ®pijZ[\[d.s^aO3fd^BOkc¦a` ¢dsidL}¥¦cb ¢¸fg\hkZ±dvm¥²¦}pom·dLjQ uviYjbd^askd)¦e¦af¦cg ¢Z_O(|\[ZhbcfgdZ_^aY}¥¦ch
¢¸QPqHiZ_fg\_QcYjbcQ>¥²¦:fgYj~dLQqHijfaYBdZ±³}Qcsk¯fgYj~°
QijkQ]dLjQ~^aijp\[Qfgss^ ^asesQc sZ[dZ_Y`j¦ ^asef
si\_Q]^as.fkZ[Yj`a\_QkvdQc|§fgYj~ ^as dLQ]sQc¹jQZ_aQc¡dsfaYjknZ[dZ_aQ®b\_^BkisQ®^g£°2sQP sZ[dQ>kd^Y^BsOfg\
^BsO¦BZ°Qa°
U#Z[ UfgY}~2U<ZhktZ_ssQ>~ijbZ_p\_Qa°
Q. sZ[dQR^asdLQ¤kip|js^B|}^HknZ[dZ_^aY(^asxknipdQcsO
^a fd®dLQ|:^BkZ[dZ_^aY¦fgYj~ ^asU ^asXdLjQ|s^B|}^HknZ[dZ_^aY0 LQPsQ(Q(LjfJaQRsQP|\hfabQ>~
dLQkip^asOij\_f^as.kipdQcsO fd.|:^BkZ±dZ[^BY¨pomµ^as U²¦sQPk|}Q>b²dZ[BQc\_ma°
?P"$C ZhkeQPZ±dLQcs®fgYfgd^BO ^BsedLQYQP`BfgdZ_^aY¶^aGfgYfgd^aO¦@fgYj~f! " Z_k®f·~Z_k¸uviYjbdZ_^aY^a
\_Z[dQcsfg\hkP° Q) Z[\_\Gi}knQ# C[qD" ? " q ^aMdLQ7^asO%$&' LQcsQ($5Zhkf§b\hfgi}knQ7faYj~' Zhkf
C[qD" ?8 °o *)8P ? ,+-8C ?) 8qD"$C?8 . UGZ_k ?0/# ^asxdLj^BkQ¤`Bs^BiYj~kipjkndZ[didZ[^BYjk 7
dLjfd.ijYZ±m1faYj~_U²¦Zº°QB°j LQPsQ27!3 U&7#°j .Yjfa\[^B`a^Bijkn\_ma¦o^Bs.fR³QP~`aZ_aQPY^as~QcsZ[Yj`4 ^aY`as^aijYj~
dQcsOkc¦K7 kfgdZhkv³}QPk®fgY¨^as~QcsZ_Y`bc^aYjkndsfgZ_YHd54 UeZ[6774 U&7#° Q Z_\[\i}knQ·bc^aYHdsfgZ_YHdkedLjfgdfgsQ
bc^aYuvijYjb²dZ[^BYjk.^a<dLQPkQfgd^aO(Zhbb^BYjkndsfgZ_YBdkc°KMLjQO(QPfgYjZ[Y`7^gtf·b^BYjkndsfgZ_YQP~b\hfgi}knQ]Zhk dLQkQde^a
`Bs^BiYj~7Z[YjkndfaYjbQ>kM^apdfgZ_YQP~pom7kijkpdZ[didZ[^BYjkMdLjfd.kfdZhknm·dLjQ®bc^aYjkndsfgZ_YHdP°
3¢³}YZ±dQ>¥
8O D?9
^BQcsXf)kQd;:£Zhk®f·ijYjb²dZ[^BY¶s^aO<:£Z_YHd^)dLQ(Yjfgdisfg\#YoiOp}QPskXkni}bL
dLjfd
9
S>=cZ?A@7^aY\_m^as¤³jYZ[dQP\[m§OfgYomB=Z[Y:M° :^asXQPfBbL=¨Z[YC:M¦
9
S>=Z¤~QPY^gdQPkedLQRYoiOp:Qcs
^aX^bPbissQPYjbQ>kR^gD=£Z[Y
9
°GKMLQ
8O ?2$G>P8?EC
4FEHGJI.^a®fkndsZ_bd·|jfgsdZhfg\ ^Bs~QcsZ[Y`&45Z_k
dLQ)kndsZhb²d(|jfgsdZhfg\x^as~QcsZ[Yj`§^aY Oi\±dZ_kQdkR^aQcs8: dLjfgdRZhkR~Q³jYjQP~ pom
9
4FEHGJI6K Z[efgY}~«^aY\_m
Z[ 9 L3<K fgY}~ ^Bs(fa\[\6=&Z_YM:kni}bL dLjfdK SN=ZB? 9 S>=cZdLQcsQQZhkvdkRfaYPO Z_Y7: kijbL dLjfd
O4P=fgYj~ 9 SNOOZ?MK SNOOZ° Qe Z_\[\:ijkQ dL}fdGdLQ.Oi\±dZ_kQdQodQPYjkZ[^BY^glf®d^adfa\j^as~QPsZ_Y`]Zhkd^adfa\¦
dLjfd¤dLQROij\±dZ_kQd®QodQPYjkZ[^BY¶|sQPkQcsaQPk.xQP\[\[¡^BiYj~Q>~YQ>kkP¦:faYj~dLjfd¤dLQR^as~QcsZ_Y`·^aYOi\[dZhknQcdk
Zhk ~^BORZ_YjfgdQP~pomdLQ]^as~QcsZ_Y`^BY7dLQcZ_s.OfZ_Ofg\@Qc\_QcO(QcYHdkc°
Qb^BYjkZ_~QPs|s^a|:^BkZ±dZ[^BYjkRd^«p:Q¶O(^~i\_^ fakkn^bZhfdZ[oZ[dvm fgY}~ bc^aO(OidfdZ[oZ[dvm ¢¸ M¥(^as e
faYj~ d7°aJ Y|jfgsdZhbi\hfgs>¦b\hfgi}knQ>kMdLjfgde~Z<:QPse^aYj\[m)Z[YdLQ^as~QPs ^g<dLQPZ[s.\_Z[dQcsfg\hk.fasQ®Zh~QcYHdZhbcfa\° Q
sZ[dQ8QBU$VJRS=cVWXBXXW$U&YTRS=YUX^BsMdLQkipjkndZ[didZ_^aYdLjfgd.sQP|\hfabQ>k=WVpom UXV<^BsZY]Q\[>WXXBXqW^]_UH°
Q]ijkQ®dLQ®^B\[\_^ Z[Yj`si\_QPk^asMdLQ®dsfgY}kv^BsOfdZ[^BY·d^(bc\_faijkQXYj^asO(fa\@^asO`
fbA ` ¢v>¥
f`A b ¢Sa¥
b dab b ¢¸ B¥
` dab% ¢H¥
b eab% ¢a¥
` eab ` ¢E0B¥
hcb SN gc9Z d Sd g%9Z ¢ 3g¥
gcb f_ ee ¢¸B¥
f*f_b% ¢NfB¥
f Sdkeg9ZH f_ d fh ¢nPB¥
f Sdkdg9ZH f_ e fh ¢na>¥
f Sij=9ZHc=!f_ ¢n>Sa¥
f Sd=F9Z<=5f_ ¢nP B¥
ke S V dgkZH SN ee V Z d SdkegkBZ ¢ncH¥
= %8Q
RS= U ¢n>a¥
=b%8Q SNO VWBXXXBW^OY[Z RS= U ¢nB0B¥
LQcsQeZ_Y¨¢n>B¥
Z_kMfYQc JfasZhfgpj\[QB¦HfaYj~·Z_Y¯¢nB0B¥ZhkMf]sQPkL·iYjbdZ_^aYknmoOp}^B\:faYj~=TW^O VWXXBXW OY
fasQ7dLQ)sQcQJfasZhfgpj\[Q>k^aF(°
" c"q %"q
^g¤f|s^a|:^BkZ±dZ[^BYP Zhk^BpdfaZ[YjQP~ pomQo¡
L}fgijkndZ_aQP\[mfg|j|\[moZ_Y`dLQ>knQXsij\[Q>kc¦o Z[dL)dLQXsQ>kvdsZhb²dZ[^BY·dLjfddLQ®si\_QPkX¢v>¥@¢nP B¥GOi}kvdMp}Q]fa||\_Z[Q>~
p:Q^BsQ¢n>B¥fgYj~§¢nB0H¥²¦gZ_Y·^as~QPs#d^fa||\_mdLjQ¤qHijfgYHdZ±³jQPstsi\[Q>k^aYj\[mRp}QP\[^ |:^BkZ±dZ[BQeb^BYBdQodkP°aKMLQ
bc\_faijkQY^BsOfa\^BsO dsfgYjkn^asOfdZ_^aYZ_k®Y^BYj~QcdQcsO(Z[YjZ_kndZhbRpHm¶dLQ·bL^BZ_bcQ^axYQPfgsZhfgp\_QPk®fgY}~
sQPkL(iYjbdZ_^aY7kmoOp:^a\hkc°HKMLZhktZhktY^adf]|s^apj\[QPO¦HfakGZ[Y·faYHm(b^BYHdQodG LjQcsQefb\hfgi}knQ.Yj^asO(fa\^asO
ZhkXYQcQ>~QP~¨fgYom§^BYQ Z_\_\t~^j¦@Zº°QB°@dLZhkXZ_k]~^BY dn¡bcfgsQ¡´Y^BYj~QdQcsO(Z[YZhkO°:.^adQRdLjfgd]pHmdLZhk]~Q³jYjZ±¡
dZ[^BY¶b\hfgijkQPkefgsQY^gdXknQcdkP¦jpid®fgsQ®^asO(QP~^asO dLQkfgO(QkmoOp:^a\hk.fake\[^B`aZhbcfa\l|s^a|:^BkZ±dZ[^BYjkc°8JY
|}fgsdZhbi\hfgs>¦odLQQcO(|dvm)bc\_faijkQ]Z_k!b°} .\hkn^}¦pom7QPqHiZ_fg\_QcYjbcQ]O(^o~i\[^· £dLjQPkQb\hfgijkQPkMp:QcL}fJaQfak
Oi\[dZhknQcdkP¦ LQcsQXdLQ]kfgO(Q®Qc\_QcO(QcYHd.OfJm·^bcbcis.kQcaQPsfa\:dZ_ORQ>kc°
J´Qebc^aYjkZ_~QcstsQcQeJfasZhfgpj\[Q>kd^p}Q¤iYZ_aQcskfg\_\[m(qHijfgYHdZ[³jQ>~RdLQPY¢vJ¥@¢n>B¥fgsQ.\_^a`aZhbcfa\jQ>qBijZ[f¡
\_QcY}bQPkP¦j LjZ[\_Q7¢v0B¥MZhk.^BY\_mfaY§Z[O(|\_Z_bPfdZ[^BYs^BO sZ[`BLHd d^7\_Qd>°8J´dXp}Q>b^aO(Q>kefgY§Q>qHiZ[fa\[QPYjbQZ[xQ
fB~~7dLQ]Z_O(|\[ZhbcfgdZ_^aYZ_Y7dLQ]^gdLQcs.~Z_sQPb²dZ[^BYl°KMLoijkP¦xQ]bPfg\_\
O VWBXXBXW^OYcXSd = X9Z g%8Q SNO VWBXXBXW^OY[Z RS= U>X
dLQ
=> BG>?E
^BsedLQ
$=> %,O ?E *) C
¨ Z[dL¯sQ>kn|:QPbd¤d^5=TX(° QRbPfg\_\<f)knQcdX^a
kªa^B\[QPO fZ[^BOk:
%"$
Z[dLsQPk|}Q>b²dd^(fkQd ^g|s^B|}^HknZ[dZ_^aY}k K Z±<Y^Rkªa^B\[QPO iYjbdZ_^aY)kmoOp:^a\
^a :^bPbiskZ_Y(K«¦BfaYj~dLQPsQeZ_kG^aY\_m^BYQekªa^a\_QcOÃfZ_^aO ^BstQcBQcsmkªa^B\[QPO iYjbdZ_^aY·kmoOp:^a\jZ_Y(:M°
µsQPkL¯kQd]^gMknªB^a\_QcO fZ_^aOkXZ_k]fa\[MfJmk.^BpdfaZ[YQ>~ LjQcY¯sQ>knLiYjb²dZ[^BY¨kmoOp:^a\hk®fgsQijkQP~¶^as
kªa^B\[QPO(Z[Ä>fdZ_^aY°
x½
K
_&%!c"$ 8q??E[ C
:
_5&%H$=C G>?EH28? %"$ *?
" q8 P
K
@ \&%
K
8 ["$HG>?qE9 B> &%
KB:
"$B% »ªaQdbLb` ~Q³jYjQ¶dLjQ¯Z_YHdQcs|sQdfdZ_^aY£^aknªB^a\_QcO iYjbdZ_^aYjk)Z[Y k^«dLjfgd)dLQcm&|s^oZ_~Q
Z[dYjQPkknQ>k.^Bs.dLjQdsiQZ[Y}kvdfgYjbcQPk¤^gtdLQcZ_sXbc^assQ>kn|:^aY}~Z[Yj`QZ_kndQPYHdZhfg\^asOi\hf°@»oZ[Y}bQ:&Z_kesQPkL
dLZhk Z_kM|:^BkkZ[p\_Q® Z±dL^aidebLjfgY`BZ[Yj`dLQ®dsidLfg\_iQ]^a K«°
4QcO(Of·XZ_k^a\hfdQPktdLQ®fgs`aiO(QPYBdxdLjfgdxdLQ®b\hfgijkQeY^BsOfa\j^BsOÃdsfgY}kv^BsOfdZ[^BY|sQPkQcsaQPkxkfgdZhkv¡
³:fgpZ_\[Z[dvma°>;xm(fa~j~Z[Yj`knªB^a\_QcOfgoZ_^aOk#d^^aijs#dLQP^asmfdGdLQ.p:Qc`BZ[YjYZ[Yj`j¦gQ.`aQcdt\[^B`aZhbcfa\QPqHiZ_Jfa\[QPYjbQ
^Bs.fg\_\\_fgdQPs.kvdQc|jkP°KMLZhk.knZ_O(|\_Z±³jQ>k ^aijsMfas`BiO(QcYHdkMp:Qc\_^]°
! 4 M- !#//c)1 )!#]¨/</
4Qd#"$Rp:QfkQde^a<sQc sZ±dQ]sij\[Q>k ^aY³jskvd¡º^Bs~Qcs |s^a|:^BkZ±dZ[^BYjk kijbLdLjfgde\[Qcdn¡´LjfgY}~§knZh~QPkefgsQ
fgd^BORZhbg¦a\[Qcd%"'&<p}Q¤f]knQcdt^g@sQP sZ[dQ si\_QPk^BYdQcsOkc¦afaYj~R\[Qcd%"A3" $ ("#&²°aKMLQ.sZ[`BLHdn¡´LjfgYj~RkZ_~Q ^a
fesij\[QZ[Y)"&OfJm®bc^aYHdfaZ[Y^aY\_m®sQPQGfgsZhfgp\_QPkdLjfgd#fa\_k^e^bPbis<Z[YdLQ\_Qdn¡´LjfaYj~kZ_~Qa°
QM sZ±dQ%*,+-
^BsdLjQG\_^a`aZhbcfa\gO(QPfaYZ[Yj` ^g."
$
¦P LZ_bL]ZhkdLQGkQd^a\[^B`aZhbcfa\QPqHiZ_Jfa\[QPYjbQ>khQ/ h10 2/n30@]4";UH°PKMLQ
Z_YHdQPYj~QP~(O(Q>fgYZ_Y`]^g@dLQesi\_QPkZ_Y5"'&#ZhkQPqHijfa\[Z[dvma°Hz.^QcBQcs>¦QPqHijfg\_Z[dvmZhktY^adx~Z_sQ>b²d\_mfJfaZ[\hfgp\_QMd^
i}kc¦jkZ_YjbQ]Q]ijkQ]³jskvd¡º^Bs~QPsM\[^B`aZhb¤ Z[dLj^aidepjiZ[\[dn¡´Z_Y§QPqHijfg\_Z[dvma°j ¤k.fgY§fg\[dQPsY}fdZ_aQB¦Q]O(fJm)fg||\_m
4QcZ_pYZ_Ä#QPqHijfa\[Z[dvmd^fd^aO(Zhb7|s^a|:^BkZ[dZ_^aYjkd^^apdfgZ_Y f¨kQd(^geQ>qBijZ[fg\_QcY}bQPkdLjfd·bcfa|dijsQ)dLQ
\_^a`BZ_bPfg\@O(QPfaYZ[Yj`R^a " &
°jKMLjfgdMZhkP¦xQ®\_Qd
*,+
3AQ /> h 0 / 30H]4"R¦faYfgd^BO¦}fgYj~¨fR|:^BkZ±dZ[^BY)Z_Y2U X
KMLjZ_kxZ_kfa~QPqHijfdQa¦HknZ_YjbQXfgYomROR^~QP\jdLjfdMkfgdZhkv³}QPk *,+
bcfgYp:Q¤¸fab²d^asQP~RdLs^Bi`aL(dLQ¤bc^aY`BsijQcYjbcQ
Z_Yj~i}bQP~pom "#&td^^apdfgZ_Yf(O(^~QP\l^g "'&x Z±dL§sQ>kn|:QPbdMd^(³jskvd¡º^Bs~QcsM\[^B`aZhbX Z±dLQ>qHijfg\_Z±dvmB¦ LZ_\[Q
|jsQ>knQPsoZ_Y`®dLQ¤dsidL7fg\_iQe^a|s^a|:^BkZ±dZ[^BYjkP°>:<Z[Y}fg\_\[mB¦BQe\_Qd *,+3 * +- )*,+
°KMLQ.dLQc^Bsm *,+¨Z_k
bc^aO(|jfgdZ_p\[Q¤ Z±dL7dLQXsQP sZ[dQXsij\[Q>kGZ_Y ""Z_Y7dLQ®knQPYjknQX^g<©e^Qcª@¦ozefgs~Z_Y7fgY}~7¬®Z_sbLYjQcs5.01´°OJ´dMZ_k
k^aO(QP LjfdknOfa\[\_Qcs<dL}fgYdLQ ^BYQM`aZ_aQcYdLQPsQB¦gfak<Z[dtZ[Yjbc\[i}~QPk#Q>qBijZ[fg\_QcY}bQPk<^BY\[m^asknZ_Y`B\[QMsQc sZ±dQ
kndQP|jk]fgY}~¶sQc\_Z[Q>k¤^BYdLQ(|s^a|:QcsdZ_QPkX^g\[^B`aZhbcfg\<QPqHiZ_fg\_QcYjbcQR^as®sQc¹jQZ_aQc¡dsfaYjknZ[dZ_aQb\_^BkisQ(fgY}~
^Bs.b\_^BkisQ¤iY}~Qcsebc^aYHdQcodk^g#\[^B`aZhbcfa\:^B|}QPsfgd^BskMfgY}~)kipjkndZ[didZ[^BYjkP°
Q)fBkkiO(QdL}fd)" Zhkb^BY¹jiQPYHdfgYj~«dQcsO(Z[Y}fdZ_Y`¶O(^~i\_^ ^as d,faYj~ e)¦<faYj~ sZ[dQ
"2Sd9Zx^asMdLjQ]Y^asOfg\:^asO0^gfR|s^a|:^BkZ±dZ[^BYµ Z±dLsQPk|:QPb²dMd^ + °
/c)$M!# l. % *,34
eY
?%"$ @*)qP
Zhk®f)kQd®^gtZ_YQcsQcY}bQPkX^BY¯b^BYjkndsfgZ_YQP~§bc\_faijknQ>kc°:{GfBbL
?B%"$
LjfBk¤f
?@c"$H?
$R¦HÄcQcs^^BsGO(^asQ
q?E "$H?
$/VWBXXBXW$#Y@¦ofgYj~7f
q?EC
¦HfaYj~ZhkG sZ±ddQPY
$ $ V XBXX $ Y
X
KMLjQ]O(faZ[Y§|jsQPORZhkQfgYj~)dLjQknZh~Q]|sQcO(ZhknQ>k LjfJBQ®~Z<@QcsQcYHdes^a\_QPkMZ_YdLQbc^aO(|\_QdQcYQ>kk |js^o^gfgY}~
Z_YdLQ]sQPki\[dZ_Y`RY^gdZ[^BY^asQP~ijYj~fgY}bm^Bs Z[YQPsQPYjbQ>kc°
KMLQ·bPfg\hbi\_ijk®^ax{odQPYj~Q>~«efgss^ Z[Y` .Yj~w Q>kn^B\[idZ_^aY&¢¥®b^aY}knZhkvdk®^gxdLQ(^B\[\_^ Z[Yj`
dv^(sij\[Q>kM^a|:QcsfdZ_Y`R^aYb^BYjkvdsfaZ[YjQP~b\hfgijkQPk`
(GP9+!qC OD?EC
f5V2e XXBX e f!Y eA$&'aV, V@e XBXX e e ' k
$ e 'aV@d7' k d V6. XBXX .!Y. V6. XXX.!"Z
LjQcsQ#5V. XXXH.$YP.$ V(. XBXXH.$ Z_kfgY fappsQcoZhfdZ_^aY¨^Bs%5V5.& k d XXX d'5V.
!Y d(5V6. V5d XBXX8d(5V6. °HKMLjQeOfgZ_Y|sQcO(Z_kQ.^al{odQcY}~QP~)w QPk^a\_idZ_^aYZhk f5V5e XBXX8e
f!Y eg$M'aV,º°
(GP9)H"q"$ *?*) + '
b\S
+ 0 08Z ' d S+ ./DZ
LQcsQ / 30Zhk.fRsi\[Q®Z_Y " fgYj~
+ Zhk Y^ad.ffasZhfgp\_Qa°
zeQcsQ]b\SN9ZM~QPY^gdQPkM^aYjQX^adLQb\hfgi}knQ>kxZ_Y§f(b\hfgijkQ®Y^asOfg\@^asO0^a_(°
KMLZhk·bPfg\hbi\_ijk(Zhk·kn\_Z_`aLHd\_m ~Z<:QPsQPYHds^BO dLQ§^BsZ_`aZ_Yjfa\^BYQ .01º¦xfak(Z[d7~^oQPkY d·i}knQ§Q>qBi}fg\_Z±dvm
O(^~i\_^f(b^aYj`asiQcYjbcQa°jy¤YdLQ]^adLQPs LjfgY}~¦xQ]fa\[\_^ dLQ]ijkQX^a<sQc sZ[dQ®sij\[Q>kM^aY)dQcsOkc°
,
!<M!</c)12)!#]¨/</
QRkfJm·dLjfd]fgY§^Bs~QcsZ[Y`L}fakedLQ O ?Tc"$ 8"q) ^as e Z[.-A4 -
^asXfgYom\[Z[dQPsfa\/-
Z_Y
f7b\hfgijkQ8$ÃZ_O(|\[Z_QPk"-A4A$R° Q(fakkiO(QfgY¶^Bs~QcsZ[Y`14^BY§|s^a|:^BkZ±dZ[^BYjk dLjfdXZ_k¤xQP\[\[¡º^aiYj~QP~¦
d^gdfg\j^BY·`as^aijYj~b\hfgijkQPkP¦gdLjfdLjfaktdLQ¤Oi\[dZhkQdM|s^B|}QPsndvm^as e¦BdL}fdkfdZ_kn³jQ>kRfb4 £^asMfgYom
fgd^BO$¦}dLjfdXZ_kXb^BO(|jfdZ[p\_Q Z[dL¯sQP sZ[dZ_Y`}¦jZº°QB°[¦ S
+ Z SX4Z¦fgYj~ + Z_O(|\[Z_QPk" 4
^Bs QcBQcsm`as^aiYj~)Z_YjkvdfgYjbcQ ^g<faYfgd^BO Z_Y5(°
KMLQ]\hfddQPs Z[O(|\_Z[Q>k b^BOR|}fdZ_pZ_\[Z[dvm· Z[dL{odQPYj~Q>~¤fgss^ Z_Y`}¦BZº°QB°W$ 4 ^as QPaQcsm`as^aijYj~
Z_YQPsQPYjbQ® Z[dL§OfgZ_Y|sQPO(Z_kQ2$faYj~b^aY}b\_ijknZ_^aY ° x^BO(|jfdZ[pZ_\_Z±dvm· Z[dL§{tHdQcYj~QP~§w Q>kn^B\[idZ[^BY
^B\[\_^.k(pom dLQ§Oi\[dZhkQd7|s^a|:Qcsdvma°te^gdQ§dLjfgd·xQ§L}fJaQsQP|\hfabQ>~ bc^aO(|jfgdZ_pZ[\_Z[dvm Z[dL£sQc sZ±dQ
si\_QPkXfgYj~ Z±dL¯bc^aYHdQcHdkepomdLQRk^aO(QP LjfdXxQ>fgªaQPs¤bc^aO(|jfdZ[pjZ[\_Z±dvm Z[dL¨sQP sZ[dZ_Y`}¦jZº°QB°}dLQfg|¡
|j\[ZhbcfgdZ_^aY^g#sQP sZ[dQXsij\[Q>kMiYj~QPseb^BYBdQodkP° QXL}fJaQ]~^aYjQ¤dLZhk p}Q>bcfaijknQ®Z[d.Z_ke~ZI·bci\±d d^(^apdfgZ_Y
bc^aO(|jfgdZ_pZ[\_Z[dvm· Z±dL§b^aYHdQodk^Bs.qBi}fgYHdZ[³jQcskiYj~QPs.YQP`BfdZ[BQXbc^aYHdQcodkP°
KMLQ|s^B|}QPsndvm7dLjfgdZhk.`BsQ>fdQPsMdLjfaY¶fgYom7`Bs^BiYj~Z_YjkvdfgYjbcQ^gtk^aO(Q Z[dL§sQcQ]fasZhfgp\_QPk
Zhk Y^adekfgdZhkv³}QP~)pHm7dvmo|Z_bPfg\@dQcsO ^as~QPsZ_Y`BkP¦oZ[Y§|}fgsdZhbi\hfgsMY^ad.pHmknZ_O(|\_Z±³}bPfdZ[^BY^Bs~QcsZ[Y`Hkc°KMLQ
kQc|}fgsfdZ_^aY7^g|js^B|}^HknZ[dZ_^aYjkMfaYj~·dQcsOk bcfgYp:QXi}knQ>~7d^fJa^aZh~(dLZ_k.|s^Bp\_QcO pom·`aZ_oZ[Yj`R|jsQ>~Z_bPfdQ
kmoOp:^a\hk]|sQPbcQP~QPYjbQ·^BQcs]dQcsOkc°<KMLZ_kdQ>bLYZhqBijQ·Z_kRfg|j|\[Zhbcfap\_Q·Z[Y«|}fgsdZhbi\hfgs]^BsLZ_QcsfgsbLZhbcfa\
~Q³jYZ[dZ_^aY}kM^g#|sQ>~ZhbcfdQPkMpom·Q>qBijZ[fg\_QcY}bQPkP¦Qa°`j°Z_Y§knQcdMdLQP^asma° Q]|sQ>knQPYHd faY)QcfgO(|\_QXp:Qc\_^]°
!#6G/1 M!<)!#+
®(®</$ %(6/
¤c
QYj^"~Q³jYQRf(iYjbdZ_^aYbc\[^HknijsQ + dLjfdXOfg|jk¤f7z.QPspjsfaYj~Z[YHdQPs|jsQcdfdZ[^BY Vt^Bse`as^aijYj~
fgd^BO(kdL}fd·fgsQ7Z_ssQP~ijbZ_p\_Q7pom "5d^f¯zeQcspsfgYj~ Z[YHdQPs|jsQcdfdZ[^BY«^as(fg\_\M`as^aiY}~ fd^aOkc°KMLQ
Ofa||Z_Y`ZhkG~Qc³jYQP~(Z_Y7kijbL·f®MfJmdL}fdGdLQ.Z_YHdQcs|sQdfdZ_^aY^aZ[ssQ>~ijbcZ[p\_Q.fd^aOktZhktYj^gdxbLjfaY`aQ>~
faYj~ * +
p}Q>b^BORQ>kdsiQ®Z[Y§bc\[^HknisQ
+
S VZ°
4Qd V#p}Q]f(kQd ^g<`as^aiYj~)fd^aOkMZ[ssQP~ijbcZ[pj\[QXpom "R°
Q]b^BYjkndsijb²d.fdsQcQXs^aO QPfBbLbc\[^HknQ>~
|js^B|}^HknZ[dZ_^aY· Lj^BkQ¤Z_YYQPs Y^~QPk fasQ¤\_fap}QP\[Q>~7pom d¦ e0fgYj~ f faYj~7 Lj^BkQ¤\_QPfJBQPkfgsQ¤Z_ssQP~ijbZ_p\_Q
`Bs^BiYj~)fd^BOkc°ah faYj~^g fgsQ]fg\_fJmkxQ|jfgY}~QP~)ijkZ[Y`si\_QPk]¢3g¥fgYj~¢ B¥²°
a° J´ ZhkXsQ>~ijbcZ[p\_QRpHm "ÃdLQcY¯dLjQdsQPQ^BsD0Z_k¤dLjQdsQPQ^Bs¤dLQRY^asOfg\^asO ^g Z[dL
sQ>kn|:QPbd d^ "R°
S° KMLQ®dsQcQX^Bs.fgYZ[ssQ>~ijbcZ[p\_Q®`as^aiY}~)fgd^aO&"Z_k f(\_QPfg\hfgp:Qc\_QP~°
° KMLQ·dsQPQ^asRfgY«Z_ssQP~ijbZ_p\_Q|s^B|}^HknZ[dZ_^aY d 5Zhk\hfgp:Qc\_QP~ d fddLQ7s^o^gdfaYj~LjfBkfak
bLZ_\_~sQcY)dLjQ®dsQcQPk^BsZµfaYj~B(°
j° KMLQ·dsQPQ^asRfgY«Z_ssQP~ijbZ_p\_Q|s^B|}^HknZ[dZ_^aY e 5Zhk\hfgp:Qc\_QP~ e fddLQ7s^o^gdfaYj~LjfBkfak
bLZ_\_~sQcY)dLjQ®dsQcQPk^BsZµfaYj~B(°
° KMLQRdsQcQ^as]fgY¯Z[ssQP~ijbcZ[pj\[QR|s^a|:^BkZ±dZ[^BYf_0ZhkX\_fap}QP\[Q>~ f fdXdLQ(s^H^adXfaYj~L}fakedLQRdsQcQ
^asZÃfakdLQ]^aY\_m7bLZ_\h~°
0° KMLQ¶dsQPQ§^asfgY Z_ssQ>~ijbZ_p\_Q§|s^a|:^BkZ±dZ[^BY&= X Z_k)\hfgp:Qc\_QP~ dfd·dLQs^o^gd)faYj~£LjfBk7fak
bLZ_\_~sQcYfg\_\dsQPQPk^asZ8QURS= UX LQPsQ UZ_k fR`Bs^BiYj~7dQcsO°
3o° KMLQ¶dsQPQ§^asfgY Z_ssQ>~ijbZ_p\_Q§|s^a|:^BkZ±dZ[^BYe= X Z_k)\hfgp:Qc\_QP~ efd·dLQs^o^gd)faYj~£LjfBk7fak
bLZ_\_~sQcYfg\_\dsQPQPk^asZ8QURS= UX LQPsQ UZ_k fR`Bs^BiYj~7dQcsO°
x½ ! K[@"$C [H&% ['D" H"$ /a?
"$B%
KMLjQR^BY\_m¶|}^HkkZ_p\[Q·k^aijsbcQ^axY^BYBdQcsO(Z[YjfgdZ_^aY¨Z_kXdLQZ_YBdQcsfabdZ_^aY¨^gxsQc sZ[dZ_Y`§fgYj~¯Z[Y}kv¡
dfgYHdZhfdZ[^BY¶^gqBi}fgYHdZ[³jQcskP°y¤YQ^gtdLQR|s^B|}QPsndZ[Q>ke^a4 Zhk.dLjfd]f)sQP sZ[dQRkvdQc|¶^B\[\_^QP~§pomZ[Y}kv¡
dfgYHdZhfdZ[^BY7~Q>bsQPfakQPkxfg\_\@|s^B|}^HknZ[dZ_^aY}ktZ_Y7dLQ¤^Bs~QcsZ[Y`}°H»oZ_YjbcQ 4 ZhkfQc\_\±¡º^aijYj~QP~·^as~QcsZ[Yj`dLjZ_k
Z_O(|\_Z[Q>kMdQPsO(Z_YjfdZ[^BYl°
e^xQR\hfgp:Qc\<dLQRY^~Q>k¤^atdLjQdsQPQ Z[dLdsidL¯Jfa\[ijQPk¤dsiQR^as¤¸fg\hknQs^BO3dLQRp}^adnd^aO i|l°l
\_QPfg"Zhk \hfgp:Qc\_QP~)dsiQ®Z± ] Vn¦faYj~)¸fg\hknQ®^adLQPs ZhknQB° "Y^~Q]\hfgp:Qc\_QP~ Z±dL d0Z_kM\hfgp:Qc\_QP~)dsiQ
Z[tfg\_\l^g#Z[dkebLjZ[\h~sQcY§fgsQ®\_fap}QP\[Q>~dsiQa¦jfaYj~)¸fg\hknQ]^adLQPs ZhkQa°j "Y^~Q\_fap}QP\[Q>~) Z[dL e Z_k.\_fap}QP\[Q>~
dsijQ]Z±tk^aO(Q]^gZ[dkebLjZ[\h~sQcYZ_k.\_fap}QP\[Q>~dsiQa¦:fgYj~)¸fg\hkQ]^gdLjQcs Z_kQa°j Y^~Q\hfgp:Qc\_QP~^f Z_ke\_fap}QP\[Q>~
dsijQXZ[Z[dk bLjZ[\h~7ZhkM\hfgp:Qc\_QP~7¸fg\hknQ]fgY}~7oZhbQ¡´aQPskf°o»oZ_YjbQ]fg\_\psfgYjbLjQPkMfgsQe³}YZ±dQ]fg\_\@dLQ®Y^~Q>k fgsQ
\hfgp:Qc\_QP~l° Q]\_Qd ]b\_^BkisQ + S VZZ±<dLQ]s^o^gd ^gdLQ®dsQPQ®^as"ZhkM\_fap}QP\[Q>~)dsiQa°
x½
*
2 D"$#%"2 9c"$8q??E
5'
8 [@"$ &%
* ?' "*8H?%
C 8 ) ?% ? "*8 ? *O"$
+ S VZ
"$B% :j^as]fd^aOkXdLjZ_k]Zhk®Z_ORO(Q>~Z_fgdQ(pom§dLjQ·~Q³jYjZ±dZ[^BY¨^aGdsidLZ[Y¯dLQ·zeQcspsfgYj~Z[YHdQPs|jsQcdf¡
dZ[^BYbc\[^HknijsQ + S VDZc°[:^as ^adLQPs |s^a|:^BkZ±dZ[^BYjkMZ±d.Zhk f(kvdsfaZ[`BLHdn^asMfgs~·kvdsi}b²dijsfa\:Z_Yj~i}b²dZ_^aY°
x½
*O"$
+ S VZ63 * +
"$B%
x^BYjkZ_~QPskn^BORQMQ>qBijZ[fg\_QcY}bQ h% Z[Y)* + °BKMLQdsQcQM^as &ZhkZh~QcYHdZhbcfa\od^XdLjQMdsQcQ^asH(¦
p:QPbPfgijkQp:^gdL¯fasQdLQdsQcQ^asXdLQRY^BsOfg\^asO ^g.µ Z±dL¯sQPk|:QPb²d¤d^4"R¦} LZhbLZhk¤iYZhqBijQpom
bc^aY¹}iQcYjbcQ.fgYj~RdQcsO(Z[YjfgdZ_^aY^a,"R°azeQcYjbcQ dLjQcZ_stdsidL·fg\_iQ Z_kGQPqHijfa\}fgY}~RdLQ.Q>qHiZ[fa\[QPYjbQ L^B\_~jkc°
4 $67®</ x< )
K^«p}Q¯fgp\_Qd^ ~^«\[Z[d7Yjfass^ Z[Yj`¨kndQP|jk^aY&dQcsOk(d^ bc^aYjkndsfgZ_YQP~ Yjfass^ Z[Yj`¯Q§ijkQ§dLQ
kndfaYj~fas~7dQ>bLYZhqBijQ®dLjfgd¤b^BYjknZh~QPskM^BY\[m)sQ>~ijbcQP~)`as^aiYj~Z_YjkndfgY}bQPkM^BYdLQ`Bs^BiYj~)\[QPaQP\°jKMLjZ_k
dQPbLYjZ_qHiQMfakR^asZ[`BZ[Y}fg\_\[m«ijkQP~ d^«kL^ bc^aO(|\_QdQPYQPkk(^gXpjfakZhb)Y}fgss^ Z_Y` .f1´¦GfgY}~ \hfdQcsR^as
bc^aYjkndsfgZ_YQ>~^asp}fakZ_b(³}skndn¡´^as~Qcsbcfg\hbij\[Z5.j¦>1´°\:j^asO(fa\[\_ma¦<fkipjkndZ[didZ[^BY 7£Zhk " Z[=7
ZhkRZ[ssQP~ijbcZ[pj\[Q) Z±dL sQPk|}Q>b²dRd^"'&®^BsRfa\[\MfgsZ_fap\_QPk =° .Y Z[Y}kvdfgYjbcQ7ZhkRbPfg\_\[Q>~ "$ Z[¤Z[d(Z_k
^BpdfaZ[YjQP~ pom f¨sQP~i}bQP~ knijpjkvdZ±didZ_^aY° Q sZ±dQ KSdK Z^asRdLjQ¶knQcd(^a¤`Bs^BiYj~ Z_YjkndfaYjbQ>k^a
bc\_faijkQPkZ[Y&K«¦<faYj~
+
SdK Z^asdLQkipjkQd(^g.sQP~ijbcQP~ `as^aiYj~Z_YjkndfaYjbQ>k^aeb\hfgijkQPkZ_Y K«°
e^gdQedLjfd `as^aijYj~Z_YjkvdfgYjbcQPkLjfJBQ.d^kfdZ_knm(dLQ®b^BYjkndsfgZ_YBd>° Q®fg\hkn^(b^BYjkZ_~QPsxsQP~ijbQ>~·`as^aijYj~
Z_YQPsQPYjbQ>kc°}»Z[YjbcQ|sQcO(ZhknQ>k.bcfaYfa\[MfJmkp}QOfB~Q`as^aijYj~¦odLjQsQ>kvdsZhb²dZ[^BYd^sQP~ijbcQP~Z_YjkndfgY}bQPk
^a.Z[YQcsQcYjbcQPksQPkndsZhb²dk^aY\_m¨dLQ)Z[Y}kvdfgYHdZhfdZ[^BY ^g.YQP \[m¨Z_YBds^~i}bQP~ JfasZhfgpj\[Q>kZ_Y b^BYjb\_ijkZ[^BYjkc°
Q Z_\[\:knL^ dLjfgd·ZhksQcidfgdZ_^aYjfa\[\_mbc^aO(|\_QdQ pomRknL^ Z_Y`¤dLjfgdLjfBk#dLQ sQP~ijb²dZ[^BY
|js^B|}QPsndvm(^Bs.b^aijYBdQcsQfgO(|\_QPkP¦oijkZ[Y`RdLQfg||js^HfabL7^a\;MfabLjO(faZ[s faYj~§U®fgYÄPZ[Y`BQcs . 1´°
Q® Z[\_\~Q³jYjQ¤Oidijfa\[\_msQPbijskZ[BQ iYjbdZ_^aYjk
fgY}~"dL}fdMO(fa|)fRknQcd^al`as^aiY}~·b\hfgijkQPkGd^
fRkQdM^g`Bs^BiYj~7fgd^BO(kP°oz.QcsQ
kvdfgYj~kG^asnZ[YHdQcs|sQcdfgdZ_^aY¤faYj~("^Bsv|s^~ijbcQP~²° 4Qd
9
p:QXf
kQdM^g<`as^aiY}~7b\hfgi}knQ>kc° S9
Z~Qc³jYQPkdLQ®Z[YHdQcs|sQcdfgdZ_^aY·^a`as^aijYj~·fd^aOkxdLjfgd.fgsQ¤Z_ssQP~ijbZ_p\_Q
Z[dL(sQPk|}Q>b²d#d^ "R¦gfaYj~ S9 Z<QodQPYj~kH S9 Zld^fg\_\`as^aiY}~fgd^aOkP¦ijkZ[Y`XdLQMiYjbdZ_^aY·b\_^BkisQ +
~Q³jYQ>~fgp:^aQa°
KMLQ~Q³jYZ[dZ_^aY§Zhk Z[dLsQPk|}Q>b²d d^(dLQQc\_\±¡´^as~QPsZ_Y`(4 ^aY`Bs^BiYj~b\hfgijkQPkP¦b^BYjknZh~QPsZ_Y`RdLQ
`Bs^BiYj~ b\hfgijkQPk(Z_Y
9
Z_Y disYl° :^Bs·kn^BO(Q`Bs^BiYj~ b\hfgijkQ$ Q sZ[dQ 9
¢
9
¥^BsdLQ
`Bs^BiYj~)b\hfgijkQPkMZ_Y
9
dL}fdefgsQ®knOfg\_\_QcsMdL}fgY$ ¢¸\[Q>kkM^Bs QPqHijfa\@d^$]¥²°
S9 ZH3 S9 W $ Z
S9 W $ Z3
QU Z[M¢¸Zh¥6$ZhkM¸fg\hknQ®Z_Y S
9
Z¦
¢¸Z[Z¥Z$ 3a$ e e XBXX e¦
¢¸Z[Z_Z¥ 4M$
¦jfaYj~
¢¸Z[¥ "Zhk Z_ssQP~i}bZ_p\[Q®pom "^as
^adLQPs ZhknQB°
S9
ZH3 b\_^BkisQ + SN S9 Z$Z
SNK ZH3
S
+
SNKZZ
Q( sZ[dQK
^as
+
SdK Z
°l.^adQRdL}fd
S9 W $ ZD3
S9 ZF3
SNK
W $ Z¦lknZ_YjbcQdLZhk®Z_k
dLQ·|jfasnd^a 9 dL}fdZhk]ijkQP~sQPbciskZ_aQc\_ma°l»oZ_YjbcQ·xQ·kndfasnd]dLQ7~Qc³jYZ[dZ_^aY«^a SNK Z] Z±dLdLQ7kQd
^axsQP~i}bQP~¯`as^aijYj~¶Z_YjkndfgY}bQPkX^a K«¦@dLQknQcd
S +
SdK ZqW,$ ZXZ_kXdLQ(Z[YjbcsQPO(QcYHd®dLjfgd]dfgªBQPkXijk
s^aO S +
SdK Z
Zxd^ S +
SNK Z
Z°
Q.kfJm®dLjfdGfX`Bs^BiYj~bc\_faijkQ6$ "B &Z± ] S
+
SNKZqW $ Z° Q.kfJm®dLjfdGfX`as^aijYj~
bc\_faijkQ5$ Zhk(f& O8P"$ G ^as SdK ZZ±XZ±dZhkZ_Y
+
SNK ZRfgY}~«¸fg\hkQ)Z_Y SNKZ²°*4lQcd$ p}Q
dLQ·\_QPfBkvdbc^aiYHdQcsQfgO(|\_QR^as SNKZfgY}~¯\_Qd"p}Qf§`as^aijYj~¨Z[YQPsQPYjbQ Z[dL O(faZ[Y«|jsQPORZhkQ$
faYj~ bc^aYjbc\[ijkZ_^aY kijbL dLjfgd $c4 ° QkfJm¯dL}fd "$" 8 "Oa"$G C c $ ¢ Z[dL
sQPk|:QPb²dd^ SNK Z¥]Z[ SdK Z3kf ° eY Z[YQcsQcYjbcQ·knmkndQcOLjfak]dLQ "$" D?ECc"$ 8"q)'%C"
O8P"$ G ¢ Z[dL«sQPk|:QPb²dd^ ¥®Z[ dLQPsQ·ZhkfsQP~ijbQ>~`as^aiYj~¨Z_YjkndfgY}bQ^g.faY«Z[YQPsQPYjbQ
Z_Y dLjfdMsQ>~ijbcQPk $ Z±dL·sQ>kn|:QPbdGd^
SNK Z^asMfgYom(knQcd K ^al`as^aiY}~b\hfgijkQPkxknijbL·dLjfgd
SNK Z
L}fakdLjQ]\[Q>faknd bc^aiYHdQcsQfgO(|\_QD$
L3
b°
x½ !
8 ['"$" D?EC " 8"q) %" O8P"$ G
"$B%
4Qd2K p}QfknQcd]^gbc\_faijkQPkP¦:\_Qd;$ p}QRdLQ\[Q>faknd®bc^aiYHdQcsQfgO(|\_QZ_Y
SdK ZXfgYj~¨knij||}^HknQ
$ L3 b°xKMLQPYg$,Z_k7dLQ¯sQ>~ijbcQP~&`as^aijYj~ Z[YjkndfaYjbQ¯^gf bc\_faijknQ#"$ Z[YeK faYj~&LjfBkdLjQ¶^asO
$ e!- e XBXX e -& LQcsQ - 47$ ^Bs.kn^BORQ®\_Z±dQcsfg\-e°
¢n>¥R»oi||:^BkQ-µZhksQP~i}bZ_p\[Qpom"° Q)L}fJaQ - 3 ^as - 3 f5fgYj~ ZhkRsQ>~ijbZ_p\_Q7pom
k^aO(Q®si\[Q Z_Y" "R¦ LQcsQ g3 '7¨fgYj~Bb3$" 7#° Qbc^aYjkZ_~QcsMdLjQknZ_Y`a\_Q "¤¡´kndQP|e
fa||\_Z[Q>~(d^$ 6 ¦osQ>kni\[dZ_Y`Z[Y7dLQ¤^asOi\hf $ dLjfgdZhkG¸fg\hknQXZ[Y SdK Z²¦kZ[Y}bQ.dLQXQPqHiZ_Jfa\[QPYjbQ
h L^a\h~k®Z_Y SdK Z²°< .Yomb\hfgi}knQY^BsOfa\^BsO,^gZ$ 0¯Z[O(|\_Z[Q>k;$ i@¦fBkkªa^a\_QcO(Z_ÄPfgdZ_^aY
ZhkXfgYZ_O(|\_Z_bPfdZ_^aY¯Z[YdLQRsQcaQPskQ~Z_sQPb²dZ[^BYl°»oZ[Y}bQ$ 0§Zhk¤¸fg\hknQZ[Y SdK Z²¦@dLQRbc\_faijkQY^BsOfg\
^BsOÃZhkGfg\hk^®¸fg\hknQ.Z_Y SNK Z¦HfaYj~RdLjQcsQ.Z_kf]`Bs^BiYj~RZ[Y}kvdfgYjbcQ.^glfbc\_faijknQeZ[YdLQ!:dLjfdZ_kt¸fg\hknQ
Z_Y
SNK Z°} ek$µZ_k.f·sQ>~ijbQ>~`as^aiYj~)Z_YjkvdfgYjbcQ^gk^aO(Qb\hfgi}knQ%"$µZ_YK«¦dLjQ|}^HknZ[dZ_^aY1«bPfgYY^gd
p:QfRfgsZ_fap\[QX|:^BkZ±dZ[^BY^a&"$(°zeQcYjbcQ®dLQPsQ®QcoZhkndk fgY{odQcYj~Q>~efgss^ Z[Y`Z[YQcsQcYjbcQ
"
$ '"60D'j
kijbLdLjfd
"
V d XXXd
"
YZhkfb\hfgi}knQ¤Y^asOfg\}^asOÃ^a
"
$ "
faYj~
"
V ' d "
e.!2@L}fakf`as^aijYj~
Z_YjkndfaYjbQ
dLjfd]Zhk¤¸fg\hknQRZ[Y
SNK Ze^as]k^aO(Q Y!]MQ [WBXXXW^]_UB°l»oZ_YjbcQYQP \[mZ[YHds^~ijbcQP~¶fasZhfgp\_QPk
fasQ¤iYjbc^aYjkndsfgZ_YQP~·xQXOfJmQcaQPY7bL^o^BkQ
d^Rp:QXfsQ>~ijbcQP~·`Bs^BiYj~Z_YjkndfaYjbQX^g
"
V°z.QcY}bQXdLQ
Z_YQPsQPYjbQ]fgp:^aQXsQP~ijbcQPkdLQb^BiYHdQcsQfaOR|j\[Q$R°
¢ºSa¥.yedLjQcs Z_kQ - ZhkMZ_ssQP~i}bZ_p\[Q®pom "R°
¢ºS°_>¥t»oij||}^HknQ"-«Zhkt|:^BkZ±dZ[BQa¦aZº°Qa° -P3!£^Bsxk^aO(Q.`as^aijYj~(fd^BO °o»Z[YjbcQF$ Zhk¸fg\hkQ.Z[Y SNKZ²¦
Z_kt¸fg\hknQ Z_Y SNK ZfaYj~(Z_Y SNK Z°B .\_\j^adLQPsG\_Z±dQcsfg\hktfgsQ.kO(fa\[\_QcstdLjfaY ¦aLjQcYjbcQ dLQPZ[sGdsidLfa\[iQ
~Qc|:QcYj~k¤^aYj\[m^aY¶dLQdsidL¯Jfa\[ijQPk¤^gtZ_ssQP~i}bZ_p\[Qfd^BOk¤kOfg\_\[QPs.dL}fgY¦: LjZ_bLfasQdLQ(kfaO(Q
Z_Y SdK ZfgYj~7Z[Y SdK
Z°KMLQcsQ^BsQD$Zhkx¸fg\hknQ®Z_Y SNK
Z²°z.QPYjbQ2$ |s^~i}bQPk ¦ ]B SNK ZfgY}~
$ZhkdsiQ]Z[Y SNK Z¦}f(b^BYBdsfB~Zhb²dZ_^aY°
¢ºS°Sa¥®yedLQPs ZhknQ - ZhkXYQc`HfdZ[BQa¦:dLjfgdXZhkP¦ -A3 fµ^BsXk^aO(Q(fd^BO °l»oZ_YjbQ - Z_kX¸fa\_kQa¦ ÃZ_k
dsijQ.Z[Y
SNKZ²¦BfaYj~(pomZ_ssQ>~ijbZ_pZ_\[Z[dvm% Oijkndxp:Q.Z_Y SNK Z°HKMLZhk Z_kG|s^~i}bQP~Rpom(kn^BORQ sQP~ijbQ>~
`Bs^BiYj~Z_YjkndfaYjbQ
^a<fRb\hfgijkQ "
Z[Y5K Z[dL1$ 4
°KMLQPY
3
5
e e XXBXe ¦ 4
5
¦
faYj~
5
Z_k¸fg\hknQ7Z[Y
SNK
Z²°#.^bc\_faijkQ·`asQPfgdQcs®dLjfgY ^asQ>qBi}fg\td^
bPfgY«OfgªBQ·f§\[Z[dQPsfa\GZ_Y 5
p:QPbc^aO(QXdsiQa¦jLQcYjbcQ 5
ZhkM¸fg\hknQ®Z_Y
SdK Z²° QbcfaY)sQPk^a\_aQ$µfgYj~
`
$ e f e XXBXTe f
5
e e XBXX e
$ e
KMLjZ_kMZhk.fRsQ>~ijbcQP~)`as^aiYj~)Z_YjkvdfgYjbcQ®^g{tHdQcYj~QP~§w Q>kn^B\[idZ[^BY7dLjfd.sQP~ijbQ>k $R°
x½ K ^ '&% q [C ? O>" [ ?[" b ]AK C"
SNKZ63
+
SdK Z
"$B% »i||:^BkQ $ 3bµZ_k¤dLjQR\_QPfBkvd®b^BiYHdQcsQfaOR|j\[QZ_YCKL ^as SNK Z°@KMLjQcYpomdLQsQP~ijb²dZ[^BY
|js^B|}QPsndvm(dLQcsQ]QZhkvdk fsQP~ijbQ>~7`Bs^BiYj~)Z[YQPsQPYjbQ
$ $ V XXBX $ Y
dLjfdZ_kfaYZ[YjkndfaYjbQ7^g fgY«Z_YQcsQcYjbcQZ[Y! dLjfgdsQ>~ijbcQPk;$R°<KMLjfdZ_O(|\[Z_QPkdLjfgd Zhk®¸fg\hknQ
Z_Y SNKZ²¦gfgY}~kZ[YjbcQK Z_k#bc\[^HknQ>~iYj~Qcs RdLQ`as^aiY}~b\hfgijkQ Zhk<f¤sQP~ijbcQP~`as^aiYj~Z[YjkndfaYjbQ
^a K fgY}~7LQPYjbQf(kOfg\_\[QPsMbc^aiYHdQcsQfgO(|\_Qa¦f(b^BYHdsfa~Zhb²dZ[^BY·d^RdLQ]O(Z[YZ_Ofg\_Z±dvm)^gh$R°
sQ>~ijbcQP~`as^aijYj~Z[Y}kvdfgYjbcQ5$ 7&^gef¯b^BYjkvdsfaZ[YjQP~b\hfgijkQ5$5ZhkRbcfg\_\_QP~
"$"OcC8
Z_YPK ¢ Z[dL
sQPk|:QPb²d¤d^ "®¥.Z±GdLQPsQQcZ_knd¤sQP~i}bQP~¶`as^aiYj~Z_YjkndfaYjbQ>k$ V 7 V WBXXBXW $7(^gGbc\_faijkQPkD$ V WXBXXW,$
Z_Y1K,kijbL)dLjfgdF$ 74&$ V7 V ^as6Yh3b[>WXBXXW@¦fgYj~ *,+ !Q"$ V 7 V WXXBXW,$ C7 U 3g$ 7#°
"sQP~i}bQP~)`as^aijYj~7Z_YjkndfaYjbQ
$ V 7 XBXX $ Y 7
$ 7
^gfgYZ_YQcsQcYjbcQ
$ V XXBX $ Y
$
LjQcsQ$#Y[7 Zhk)dLQOfgZ_Y |jsQPORZhkQ¯Zhkbcfg\_\_QP~ " O>8 Z[Y K ¢¸ Z±dL sQPk|}Q>b²dd^ "]¥·Z[QPZ±dLQcs
^BYQR^gdLQ(|sQcO(ZhknQ>kD$/V7cWXBXXW,$#Y[7 Zhk®sQ>~iYj~jfgYHdP¦^BsXZ[dLQPsQ(QZhkvd]sQP~i}bQP~`as^aiY}~Z_YjkndfgY}bQPk
V7VWBXXBXW 7 ^g K kijbL)dLjfgdF$RYO74 VE7TV^as6Y_3b[WBXXXBW)fgYj~ * + !Q Vq7VCWXXBXW 7 U 3
$ 7#° Y^aY¡´`as^aijYj~¶b\hfgi}knQ(^as®Z_YQcsQcY}bQ(Z_k®sQP~iYj~faYBd]Z[Mfa\[\Z[dk®sQP~ijbQ>~`Bs^BiYj~¶Z_YjkndfaYjbQ>k]fgsQ
sQP~iYj~faYBd>°}KMLQ^a\_\[^ Z_Y`Qc\_\±¡´ªoY^ Y\[QPOROf·fa\[\_^.kMd^7~Qc\_QdQbc\_faijknQ>k Z[dL^Bid¤\_^BkZ[Yj`sQ>~iY¡
~jfgYjbcma°
x½
K
@2#&% C[qD" ? 'c;9 8 #&%9"$"O>a " q ? K
%9 8qD"$C?
$ ? "$"Oca ? K
8 ?R? "$"OcC8 ?
K
9
"$B% »i||:^BkQ $"ZhkGsQP~iYj~faYBdZ[Y5K" pidMY^adZ_Y(K 9 °oKMLQcY7dLQPsQ¤QZhkvdkxfsQ>~ijbQ>~`as^aijYj~
Z_YjkndfaYjbQR^g"$ dL}fd]Z_k®sQP~iYj~faYBd®Z_YK pidY^adXZ_YCK 9 °K4lQd;$0p}QRdLjQR\_QPfBkvdkijbLsQP~ijbQ>~
`Bs^BiYj~®Z_YjkndfgY}bQa°»oZ_YjbQ $&ZhksQP~ijYj~fgYHdZ_Y K ¦cdLQcsQGQcoZhkndsQP~ijbcQP~]`Bs^BiYj~®Z_YjkndfgY}bQPk V WXBXXBW Y
^a;K dLjfdd^B`aQdLQcs Z[dL*,+ÃZ_OR|j\[me$R° 4Qd V WXXBXW Y p:Q¨dLQ¨\_QPfakndkQd^gkijbL sQP~ijbQ>~
`Bs^BiYj~¨Z_YjkvdfgYjbcQPk] Z[dL«sQPk|:QPb²dd^§dLQ·Oij\±dZ_kQdRQodQPYjknZ_^aY^aD4]°<.^ knij||}^HknQ)kn^BORQ VeZ_kf
sQP~ijbQ>~(`as^aiYj~RZ_YjkndfgY}bQ.^a 9 pjidxY^adG^g K 9 °H»oZ_YjbcQ VlZhkGkO(fa\[\_QcsGdLjfaY($R¦BZ[dxZhktsQP~iYj~faYBd
Z_Y(K 9 pomZ_Yj~i}b²dZ_^aY)LomH|:^gdLQPkZhkc°HKMLjfdZ_kP¦ VZ_kxZ_YdisY·Z_O(|\[Z_QP~7pom * + fgYj~7knOfg\_\_QcsGsQP~ijbQ>~
`Bs^BiYj~ Z[YjkndfaYjbQ>k 5
V
WXBXXW 5
^gK 9 ° Q§OfJm«sQc|\hfabcQ V®pom 5
V
WXBXXBW 5
d^^apdfgZ_Y f
kOfg\_\[QPs Oi\[dZhkQdP¦jZ[Y§b^BYHdsfa~Zhb²dZ[^BY7d^(dLQ]O(Z_YZ[Ofa\[Z[dvm7^a VWBXXBXW Y@°jzeQcYjbcQ VWXBXXW Y7Oijkvd
p:Q]sQP~ijbcQP~)`as^aiY}~·Z_YjkvdfgYjbcQPkM^a_K 9 ¦fgY}~B$ZhkMsQ>~iYj~faYHdMZ_Y1K 9 °
knQcd K ^gb\hfgijkQPkZhklbPfg\_\[Q>~ CdO"$C "$"Oc ) ¢ Z[dL]sQPk|}Q>b²dd^ :¥@Z[fg\_\gZ_YQcsQcYjbcQPk
Z_Y s^BO0|sQcO(ZhknQ>kMZ[YBK fgsQ¤sQP~ijYj~fgYHd>°
x½
K
! % " R[CK? O"$CF !"$ OC )#*?H"$[
8 ?["
b ]1K C"
SdK ZZ3
+
SdK Z
"$B% »i||:^BkQFK ZhkkfgdisfdQP~i|7d^RsQ>~iYj~jfgYjbcma¦[b L]1K«¦ofgYj~ SdK Z L3 +
SdK Z²°O4QdZ$"p}Q
dLQ\_QPfBkvdXb^aijYBdQcsQfgO(|\_Q®^as SdK Z faOR^BY`dLQsQP~i}bQP~`Bs^BiYj~Z_YjkvdfgYjbcQPke^gHK«°»oZ[Y}bQ
L}fakedLQRsQ>~ijbdZ_^aY¶|s^a|:Qcsdvm^as®b^BiYHdQcsQfaOR|j\[Q>kc¦jdLQPsQRQZhkvdk¤f)sQ>~ijbcQP~§`Bs^BiYj~§Z_YjkndfgY}bQ^a
faY§Z[YQcsQcYjbcQZ_Y(¶dLjfdXsQ>~ijbQ>kF$µd^)k^aO(Qb\hfgi}knQ dLjfgd¤Zhk¤fa\_k^(¸fg\hknQZ[Y SdK Z²°»oZ_YjbQ8K
ZhkMkfgdisfdQP~]°s>°d>° <¦HdLZhkZ[YQPsQPYjbQXZhkxsQP~iYj~faYBd>¦BLjQcYjbcQ ^a\_\[^.kGs^BO* + fgYj~sQP~ijbQ>~
`Bs^BiYj~Z_YjkndfgY}bQPk¤knOfa\[\_QcsedLjfaY$R°c;xmO(Z_YZ[Ofa\[Z[dvm^g $ÃdLQPkQfasQ]dsijQZ_Y SdK Z²¦faYj~ Oijkvd
p:Q®dsiQ®Z_Y SNKZMfakMQc\_\¦f(b^BYHdsfa~Zhb²dZ[^BYl°
[" c"$?*) "q??E Zhk]f)kQPqHiQPYjbQR^gknQcdkX^gMb\hfgijkQPkKK@V XBXX]kijbL¶dLjfdX^as
fa\[\MkndQc|}k8K VaK VTVg¦bY @j¦QPZ±dLQcs§¢n>¥ K;VTVB3 K;V QS$ U7^BsRk^aO(Qb^BYjkvdsfaZ[YjQP~«b\hfgi}knQ1$
kijbL¨dL}fd]s^aO,faYom¶O(^o~Qc\G^a* + !K;V #: V23 Q"$ U( LjQcsQ(: V ZhkfknQcd^g knªB^a\_QcO fgZ[^BO(kP¦^as
¢ºSa¥K V\V 3 K V Q"$ U^ask^aO(Q·bc^aYjkndsfgZ_YQP~¨b\hfgi}knQ($ LZhbL«Z_ksQ>~iYj~faYHdZ[Y K V ¦faYj~
V : V
Zhk)sQ>knL Z±dL sQPk|}Q>b²d)d^ * +PK ° J Y bPfakQ ¢vJ¥·Qbcfg\_\¤dLQ«kndQc| f
> ?E qP
fgY}~ Z_Y
bPfakQR¢ºSa¥f
D?ECqP
°a:^as kijbLfR~QcsZ[fdZ[^BY·dLQ]knQcd.^g
8"?qPa "
K Zhk ~Q³}YQP~fak
K 3
V! #"$V K " °
£kZ[O(|\_Z[³}bcfgdZ_^aYOfJmp:QMoZ[QPxQ>~fBkdv^®~QcsZ[fgdZ_^aY(kvdQc|jkQ"$ U.K%1Q"$5W
U K&Q
U ZK«°
KML}fd]Z_kP¦lfb\hfgijkQ $ ]PK OfJm§p:QknZ_O(|\[Z[³jQ>~d^§f)bc\_faijknQ
Z± *,+ CQS$ U1K 3
fgY}~$0Z_k
sQP~iYj~faYBd Z_YQ U%5K«°
:j^asQfgO(|\_Qa¦adfgid^a\_^a`BZ[Q>ktfgsQefa\[MfJmksQ>~iYj~jfgYHdP¦ofgYj~(sQP~ijb²dZ[^BY· Z±dL " Z_kfkZ[O(|\_Z[³}bcfgdZ_^aYl°
£kipjkiO(QP~bc\_faijkQMdLjfgdtLjfaktfgdt\[Q>fakndt^aYQ \_Z[dQcsfg\jOR^BsQdLjfgY(dLQeb\hfgi}knQdL}fdxkipjkiO(QPkZ[dGZhktfg\hk^
sQP~iYj~faYBdtpomdLZhkG~Q³jYZ[dZ_^aY°Bz.^QcBQcs>¦JdLQ¤bcfakQ LQPsQ.fbc\_faijkQ.knip}kniO(Q>k^aYQe^gZ±dktZ_YjkndfgY}bQPk
ZhkxY^gd b^BQcsQP~¦afBktdLQXZ[Yj~Z[oZh~ijfg\@`Bs^BiYj~(Z_YjkvdfgYjbcQPk~^Yj^gd ~QPbcsQ>fakQ. Z±dL7sQPk|}Q>b²dxd^(4]° ddLQ
|jsZhbQ ^a@k^aO(QdQ>bLYZhbcfg\}b^aO(|\_ZhbcfdZ[^BYjkZ[dtZ_kt|}^HkkZ[pj\[QMd^]QodQPYj~RdLQ.~Q³jYZ[dZ_^aY(d^fg\hkn^]bc^aQcs#dLjfd
bPfakQa°
Q Z_\[\XY^ kL^ dLjfdbQPsndfgZ_Y |js^B|}QPsndZ[Q>k7fgsQ§|sQPkQcsaQ>~ LjQcY `B^aZ_Y`s^BO K§d^ dLQ
x½
K
9@R&% 8"$C? " q
92 &%
* + C@
K K2V
XBXX
5'8 C"$ c"$?*)2>"q??E
% a"$" )"$"Oc9?8P q&%
K C"$ "*8?) 8
C "$ )"$ O ?8qC q9&% V
K;V
"$'D"*89?
"$B% x^BYjkZ_~QPs kn^BORQ®sQP~i}bQP~7`as^aiY}~7Z_YjkndfgY}bQ$ ^a<k^aO(Q]b\hfgijkQ $Z_Y"
V K V °OJ´ "$ZhkMZ_YBK
dLQcYC$ Zhk.dsiQpom¶fakkniO(|dZ[^BYl°lyedLQPs ZhknQ $" Ljfak¤p:QcQcY¯sQPO(^aQP~pom§k^aO(Q~QP\[QcdZ_^aYkndQP|#K V
K V\VJ¦<LQcYjbcQ7Z[dRZhksQ>~iYj~faYHdZ[Y K;VXfgYj~dLoijkZ_Y V K Vv° 4lQcd 9 p:Q·dLjQkQdR^gefg\_\GsQP~iYj~faYBd
bc\_faijkQ·Z[Y V
K;Vn¦dLQcY pHm¨dLQfap}^BQ·fgs`aiO(QPYBd_S V K VDZ 9 K °<zeQcYjbcQ5$5ZhksQP~iYj~faYBd
Z_Y(K pom24QcO(Of@3¦ofaYj~(dLQcsQeQcoZhkndxsQP~ijbcQP~`Bs^BiYj~Z_YjkndfaYjbQ>kG^a K dLjfdxd^a`BQdLQcs Z±dL * +
Z_O(|\_m5$µfgYj~fgsQXdsiQ®Z[Y ° Qbc^aYjbc\[i}~QXdLjfgdF$ ZhkdsiQ®Z[Y °
KMLjZ_kGZ[O(|\_Z[Q>kGZ_Y|jfasndZ_bci\_fasdL}fdfa\[\}sQ>~ijbcQP~(`as^aijYj~RZ[YjkndfaYjbQ>kt^a KefgsQ dsiQeZ[Y
° Q¤kfJmdLjfd
f§bc\_faijkQZ_k
O 8"$C?
Z± Z[dkbc^aYjkndsfgZ_YHdZ_k2`° kQd^a.b\hfgijkQPk]Zhk
O [q"$?c
Z[.fg\_\GZ[dk
bc\_faijkQPkMfgsQ®iYjb^BYjkndsfgZ_YQP~°
x½
K
@2 &%O [q"$?c " q
[
+
SNK Z, * +
3 KSNKZ
"$B% x^BYjkZ_~QPsk^aO(Q·`Bs^BiYj~Z_YjkvdfgYjbcQ5$5^aefb\hfgi}knQ $" Z[Y KSdK Z²°KMLQPY $<3"
+ ` fgY}~
$ 3 +
7#° ;m Yj^asO(fa\[Z_ÄcZ_Y` 7 Z[dL sQPk|}Q>b²d·d^ " & Q¶^apdfgZ_Y&dLjQ¶`as^aiY}~£knip}kvdZ±didZ_^aY 3
Q =a7 +
RS="= 37=a7_UH°jKMLQ]Z_YjkvdfgYjbcQ;$L 3 +
Zhk sQ>~ijbcQP~fgYj~Zhk.fg\hk^·f`Bs^BiYj~Z_YjkvdfgYjbcQ®^g $"
dLjfdk^a\_aQ>kedLQ(dsZ_HZhfg\tbc^aYjkndsfgZ_YHd9`¦LjQcYjbcQRZ[dZhk®Z[Y
+
SdK Z²° e\[\tdLQbLjfaY`aQ>k¤^aMfgd^BO(kXpom
dLQ(sQ>~ijbdZ_^aY¯s^BO<$ d^1$ fasQ(b^BQcsQP~§pom¶Q>qHiZ[fa\[QPYjbQ>k¤Z_Y* +
¦LQcY}bQ$0Zhk®fb^aY}knQ>qBijQcYjbcQ
^a
+
SdK Z * + °
Á Á ¸ ¾
K
H2 &%DO C[q"$?c q
c H 2 \%
*,+ % ?
2 T&%9C K"$" )"$"Oc ?8P q &%
K
[ ? 2 TC )C" "O ?[qC %
K
x½ K PK@V XXX _^[C"$ "$ B? ) "q?CD?EC % * + K ?2?0/#
[ * + K ?5CD?>/R>
"$B%
»i||:^BkQxQ7fasQ(`BZ[BQcY«f§O(^~Qc\
7^g * + #KB°T4lQcd8:b3 V
:nV p}Q7dLQ)knQcd^g.knªB^a\_QcO
fgZ[^BO(k®i}knQ>~¯Z_Y¨dLQ·~QcsZ[fdZ[^BYl°lKMLQPY«pHm4lQcO(OfRdLQPsQQcZ_kndkfO(^~Qc\
^g * + !K!:M°
:jisdLQPsO(^asQa¦ * + K 5:«ZhkM\[^B`aZhbcfg\_\_mQPqHiZ_Jfa\[QPYHdd^ * + K;V.5: ^as Y &@¦LQPYjbQ
3eK;V^as
fa\[\ Y @j° Qbc^aYjbc\[i}~Q
3aK °
£dLQP^asQcOÃ|s^oZ_Y`~QPsZ_fdZ_^aY(ZhkGbPfg\_\[Q>~ %?" ¢ Z[dL7sQ>kn|:QPbdtd^#@¥Z[lfg\_\jZ_YQcsQcYjbcQPkGZ[Y
s^aO b\hfgijkQPk®Z_Y K',fgsQsQP~iY}~fgYHdZ_YCK V ^askn^BORQY @°<»oZ[Y}bQdLQ7b^BYjb\_ijkZ[^BYjk®^gM`as^aijYj~
Z_YQPsQPYjbQ>kXfasQRfg\_fJmkXknOfa\[\_QcsXdL}fgY¶dLQ(OfgZ_Y¯|sQcO(ZhknQB¦fgYj~¯knZ_YjbQRdLQcm§Z_O(|\[m¶dLQPO(kQc\_aQ>kc¦faY
Z_YQPsQPYjbQbPfgYp}QO(fB~Q]sQP~iY}~fgYHd.pomf~QP~ijbdZ_^aY§kndQc|dLjfdXfa~~k.Z±dk.b^BYjb\_ijkZ[^BYl°jKMLoijk.fR¸faZ[s
~QcsZ[fdZ[^BYZ_ke^apdfgZ_YQP~pom)bc^aYjkZ_~QcsZ[Y`Z_YQPsQPYjbQ>k Z[Y¶fR¸faZ[s¤fJmB¦Z°Qa°}Y^gdX~Qc\hfJmoZ[Y`·faYZ[YQPsQPYjbQ
fB~Z_Y³jYZ[diO¦faYj~·fa~j~Z[Yj`dLjQcZ_sMbc^aYjbc\[i}knZ_^aYZ[ldLjQcm·fgsQ.Y^adMfa\[sQPfB~mRªHYj^ Yd^p}QXsQ>~iYj~jfgYHdxpom
k^aO(Q]kiZ±dfgp\_Q]kni[IbcZ[QPYHdebsZ±dQcsZ[^BYl°
x½
K (K V XBXX
' %?" ["$ c"$?*)_"q? ?E
[
K'
?5CdO" P
"$"O> )
"$B%
;m¸faZ[sYQ>kkMQ®`aQd dLjfd.QPaQPsmZ_YQcsQcY}bQ®s^aO0|sQcO(ZhknQ>kMZ[Y1K Zhk sQP~iY}~fgYHd Z[Y
V K Vn¦
faYj~)pHm 4lQcO(Of 3Z[Y1K °
½oÁ
½
K K@V XXX
%?"8C"$ c"$?*) >"q??E * [
K
?
O [q"$?c
[
K
? ? 8?qPaR?%9C 8 ) ?% K aC?[ [@) "
"$B% »Z[YjbcQedLQ]~QcsZ_JfgdZ_^aY·Zhkx¸fgZ_sP¦ K Z_kMkfdisfgdQ>~·i|7d^RsQ>~iYj~faYjbmB°KMLHi}kxQPZ±dLQcsb ]BK
^Bs SNK Z3 * + +
SdK ZMpom 4lQPOROfj°a4lQcd: p:Q]dLQknQcde^gtkªa^a\_QcO5fZ_^aOk ijkQP~Z_Y§dLQ
~QcsZ[fdZ[^BYl° J´*b ]BK dLjQcY * + K (: Z_kMZ_Yjb^BYjkZ_kndQPYBd>¦fgYj~7Z[Y)disY * + K®Z_kZ_Yjb^BYjkZ_kndQPYBd
pom 4QcO(Of¨a¦knZ_YjbcQ: ZhkXsQ>knLl°yedLQcs ZhknQ
SNK Z83
+
SNK Z²¦
SNK Z83
+
SNKZ¤pom
4QcO(Of f¦fgY}~
SNK Z63 KSNKZvpHm_4lQPOROfPj¦fgYj~ * + K]Zhk b^BYjkZ_kndQPYBd>°
KML}fd Z_kP¦ §ZhkMsQcidfgdZ_^aYjfa\[\_m7bc^aO(|\_QdQ® Z[dLsQPk|}Q>b²d d^ *,+°
4^H^BªoZ[Y`pjfBbª¶fdXdLQ(|s^o^gv¦@Z[Y¨|jfasndZ_bci\_fas 4lQcO(Of¦@xQkQcQdLjfgd]xQRLjfJaQRZ_Yj~QcQ>~|js^BQP~
sQidfdZ[^BYjfg\}b^aO(|\_QdQcYQ>kkG^gf]O(^BsQ sQPkndsZ_bdQ>~(Z[YQPsQPYjbQ¤knmkndQcOµdL}fdbc^aYjkndsfgZ_YjkZ_YQPsQPYjbQ>kd^
OfgoZ_Ofg\lfgd^aOkD`
(GP9+!qC OD?EC
f5V2e XXBX e fY eA$ 'aV V2e XXBXTe!" e ' k
$ke
'8V2d7' k d!5V. XXBX . d5VF47$ d 5V4
(GP9)H"q"$ *?*)
eA$&'j
b\S 0 0 eg$ Z ' d + . / d b4&$D
LQcsQ / 30Zhk.fRsi\[Q®Z_Y " fgYj~8 Z_kMYj^gdefRfgsZ_fap\[QB°
KMLjQ^as~QcsZ_Y`·b^BYjkvdsfaZ[YHdk.fgsQ]Z[YHdQcs|sQcdQ>~pHm)dLjQ`aZ_aQPY§xQP\[\[¡º^Bs~QcsZ[Y`B4]°:K^·OfaªaQ®dLjZ_k¤ijkQi\
Z_Y¶|sfabdZhbQZ[d¤Zhk¤^gGb^BisknQYjQPbQ>kkfgsm·d^7|s^oZ_~Qf7b^BYjkndsfgZ_YBdXkn^B\[BQcs>°j.^adQLj^xQPaQcs>¦dLjfdXZ±dXZ_k
k^aijYj~Rd^R~Z_kbcfas~RdLQe^Bs~QcsZ[Y`bc^aYjkndsfgZ_YHdk LjQcYQPaQcsGdLQPmfgsQMd^o^Ljfas~Rd^k^a\_aQB°:^BsGZ_YjkvdfgYjbcQa¦
dLQMQcO(|dvmbc\_faijknQMkndZ_\[\oZ_Yj~ZhbcfdQPk#fgYZ[Y}b^aY}knZhkvdQcYjbcm]QcBQcY Z[dL(fgYiYjk^a\_fgp\_QG^Bs~QPsZ_Y`Xb^aY}kvdsfaZ[YHdP°
%&'·
Qbc^aYjkZh~QcsRfgY QcfaO(|\[Q7s^BO knQcddLjQc^asm`aZ_aQPY«pHmrt\hfgZhkndQP~ fgYj~@LHi .[JS1´°#»oij||}^HknQ)xQ
L}fJaQ¤dLQ]sQc sZ±dQ®si\_QPk
=B.MO %= OdeO = ¢n3g¥
= O S
]= g
]BOOZ ¢nPB¥
=^]BO
%=]O da=^]
¢nJfB¥
dLjfde~QPkbsZ[p:Q]fsfg`BO(QcYHd ^g<kQd dLQc^BsmB°
Q§~Q³jYjQ7dLQ^as~QcsZ[Yj`^aY ^asOi\hfakRfak^a\_\_^.kc° Qkndfasnd(pom fgY ^Bs~QcsZ[Y`¯^aY fd^BOkpom
\_QddZ_Y` Sd V . U V Z 4 Sd k
UXkZ4 Sd ] UBZ^BsGfg\_\odQPsOk V W, kCW WU V W$UXkCW$Ua°Hy¤YdQPsOkQ.fakkiO(Q
k^aO(QekZ_OR|j\[Z[³}bcfgdZ_^aY^Bs~QPsZ_Y`XdL}fdxZhkd^gdfg\j^BY`as^aiY}~RdQcsOkc¦a^asxQfgO(|\_Qef]\_QZhb^a`Bsfa|LZhb|jfdL
^Bs~QcsZ[Y`}° Q]QcHdQcYj~Z[d.\[QcZ_bc^a`asfg|jLZ_bPfg\_\[mRd^(fgd^BO(kM Z[dLdLQkfgO(Q®|sQ>~ZhbcfdQ]knmoOp:^a\º°[4lZ[dQPsfa\_k
fasQ^as~QPsQ>~«³jskvd Z[dL&sQPk|}Q>b²d(d^¨dLjQcZ_s7fd^aO faYj~ dLQcY d^¯dLQcZ_s|:^a\hfgsZ±dvmB°tKMLjfdZhkc¦ 4
Z_O(|\_Z[Q>k8f 4 f3fgY}~f 4 µ^Bs®faYomfgd^BO(k fgY}~·°lKMLjZ_kXZhk®QodQPYj~QP~¶d^§b\hfgi}knQ>kepom
dLQOi\[dZhknQcd¤QodQcYjkZ[^BY¶^g#dLQ\_Z[dQcsfg\^as~QcsZ_Y`·fgYj~§d^·|s^a|:^BkZ[dZ_^aYjkeZ[Ybc\_faijkQY^asOfg\^asO pom
dLQ]Oij\±dZ_kQd.QcHdQcYjkZ_^aY^gdLQb\hfgi}knQ®^as~QPsZ_Y`j°
KMLZhkl^Bs~QcsZ[Y`MZhk@d^adfa\g^aY]`Bs^BiYj~Xb\hfgijkQPkP¦ckZ[YjbcQ#dLQtdQcsO ^Bs~QcsZ[Y`MZhkd^gdfa\¦PfgYj~XZ[dZ_kQodQPYj~Q>~
d^Rfgd^BO(kP¦H\[Z[dQPsfa\_kfgYj~)b\hfgijkQPkk^dL}fdMdLZhk|s^a|:QcsdvmRZhk|sQPkQcsaQP~l°>;m(dLQ®kfgO(QXfas`BiO(QcYHdxZ[dMZ_k
Qc\_\[¡^BiYj~Q>~°
Q(LjfJaQd^knLj^dLjfgd®dLQ(^as~QPsZ_Y`7Zhk®b^BOR|}fdZ_p\_Q Z[dL¯dLjQRsQc sZ[dQRsQP\_fgdZ_^aY¶^B\[\_^QP~§pom
Z_YjkndfaYBdZ_fgdZ_^aYl° QR³jskndb^BYjknZh~QPsedLQ(Q<@QPb²d^axfg|j|\[moZ_Y`f)sQc sZ[dQRsi\_Qd^§f)kZ_Y`a\_Q\_Z[dQcsfg\#Z_Y¨f
bc\_faijkQa¦afaYj~(b^aO(|jfasQdLQ.Z_YjkvdfgYHdZhfdQP~(b\hfgi}knQ Y^BsOfa\o^asO(kP°aKMLQPsQ.fasQ.kZ[RbcfBknQ>kc¦gfaYj~(Q QPfakZ_\[m
kQcQXdLjfd.Z_YQPfabLbcfBknQXdLjQ]^as~QcsZ[Yj`L^B\_~jkD`
=5.7OeA$ 4 S>=
OeA$ Z d S>O
= eg$ Z
f =5.7OeA$ 4&=
O eaO
= ee$
=
OeA$ 4 f\UR]B= e UR]5OeA$ ^Bs.fgYom·`as^aijYj~·dQcsO U
f =
OeA$ 4 S SN= W^O[Z#]B= ee$ Z d SDf SN= W OOZ/]OeA$ Z
=^]BO
eA$ 4 S>=]5OeA$ Z d SN=]
eA$ Z
f =]BO
eA$ 4 f =]5Oe f = ]
eg$
KMLjQ]³jskvd¤^aisXfgsQb^aQPsQ>~pHm)dLjQ|sQPbcQP~QPYjbQ^adLQ|sQP~ZhbcfgdQkiOp:^a\hkP¦}fgY}~dLQ\_fBkvd.dv^·pom
dLQknijpdQPsO |s^a|:Qcsdvm§^gGdLQRdQPsO ^as~QcsZ[Yj`j°@KMLZ_k®^Bs~QcsZ[Y`)QodQPYj~k¤d^§fb^BYBdQod]b^aYHdfgZ_YZ[Yj`
fB~~Z[dZ_^aYjfa\b\hfgijkQPkP°l .Y«fd^aO Z_Yf)|js^B|}^HknZ[dZ_^aY¯O(fJm\[Q>fa~d^§knQPaQPsfa\<^bPbissQPYjbQ>ke^axdLQfd^aO
Z_Y)dLQ]b\hfgi}knQ¤Y^asOfg\:^asO°ow.Qc sZ±dZ[Y`(kijbL)faYfgd^aO dLoijk\[Q>fa~kxd^RdLQ®sQP|\_fBbQPORQPYHdx^g#knQPaQPsfa\
fgd^BO(kP° QOfJm^apdfgZ_Y§Z±dkeQ<:Q>b²dX^aYdLjQb\hfgi}knQYj^asO(fa\^asO3pombLjfaZ[YjZ[Y`·d^a`BQdLQcsekQcBQcsfg\l^a
dLQ(knZ_O(|\[Q(sQc|\hfabcQcO(QcYHdkc°@KMLQcY¯pomdsfgYjkZ±dZ[oZ[dvmdLQR^as~QPsZ_Y`7Zhk®b^BOR|}fdZ_p\_Q Z[dL¨fgYom§sQc sZ±dQ
kndQP|l°»oZ_YjbcQ·^ais]^Bs~QcsZ[Y`Z_Yjb\_ij~Q>k]dLjQ(dsfgYjkn^asOfdZ_^aY¯d^¶bc\_faijkQRYj^asO(fa\#^asO¦b^BOR|}fdZ_pZ_\[Z[dvm
fa\_k^RL^a\h~k^as {tHdQcYj~QP~§efass^ Z_Y`Z_YQcsQcY}bQPkP°
e^3ki||:^BkQ§dLjfd7Z_Y£dLZ_k·dLQP^asm Q¶MfgYHd·d^ |s^BQZ_~QPO(|}^adQcY}bm ^g]Z[YHdQcsknQ>b²dZ_^aY¦GZº°QB°[¦
j= X= 1=. =°lK^kZ[O(|\_Z[mdLQ(|sQPkQcYHdfgdZ_^aYl¦:Q|s^aQ^aY\_mdLQ~Z_sQPb²dZ[^BYB=TX= 1=
=° Q
YjQc`BfgdQfaYj~¶kªa^B\[QPORZ_ÄcQfgYj~§^BpdfaZ[YK;3 Qf
UB°@K^)Z[\_\[i}kvdsfgdQ]dLQO(^~QP\<bc^aYjkndsijb²dZ[^BY
Qfg\hk^`aZ_aQ®dLjQbcfaYj~Zh~fdQ]O(^o~Qc\hkeb^BssQPk|:^aYj~Z_Y`Rd^·dLQRb\hfgijkQknQcdkeZ[YdLQ~QPsZ_fdZ_^aY°:»oZ_YjbQ
dLQ^BY\[mb\hfgi}knQ]Z_YKL}fak.Yj^|}^HknZ[dZ_aQ\_Z[dQcsfg\º¦Q`aQcdFD3
°jze^xQPaQcs>¦ SNK Z.Z_keY^gdeQPO(|dvma¦
fBkXZ±db^BYHdfgZ_Yjk®fd^aOk®kni}bL¯fak
° QbLQ>bªdLjfgd;$ 3 f S
Z¤Zhk¤¸fg\hknQ(Z_Y SNK Z¤pom
sQc sZ[dZ_Y` 3
`
Si=TX=^]
g =^]
Z
= XS>=^]
da=]
ZRg =^]
Q(QPfBknZ_\[m¶kQcQRdLjfd]dLQ(Y^asOfg\<^asO Zhk]f·dfgid^a\_^a`amB¦@LQcYjbcQ(Z±dZhkXdsiQ(Z[Y¨|jfasndZ_bci\_fas®Z[Y SdKZ²°
KMLjQcY·pom~Q³}YZ±dZ[^BY# XZhktdsiQXfgYj~$ XZhkt¸fa\_kQeZ_Y
SNKZ²°oKMLoijk $ XZhktdLQ¤\_QPfBkvdb^aijYBdQcsQfgO(|\_Qa¦
fBkMZ±d.ZhkMdLQ]^aY\_m·`Bs^BiYj~)Z[YjkndfaYjbQ®^a#f(b\hfgi}knQ®Z_YBKa°jKMLjZ_k bc^aiYHdQPsQcfgO(|\_Q®bPfgYp}Q]sQP~ijbQ>~7pom
{tHdQcYj~QP~efass^ Z[Yj`(`8;m·sQc sZ±dZ[Yj`$ ]Q®`aQd
f S0=TX=^]
g =^]
Z
LjZ_bLxQ®LjfJBQXd^RdsfgYjkn^asO d^(bc\_faijkQXYj^asO(fa\:^asO<`
f S0=TX=]
g =]
Z = XS>=]
d f SN=]
Z
]
d f!]
LjQcsQZhk]dLQ7kªa^B\[QPO,b^BYjkndfgYHdZ_YHds^o~ijbQ>~^Bs2=°\:^BsQPfBbLbc\_faijkQZ[YdLQ: Q·LjfJaQfaY
{tHdQcYj~QP~efass^ Z[Yj`Z_YQcsQcYjbcQ®dLjfgd.LjfakMZ[defakMZ[dk bc^aYjbc\[i}knZ_^aY`
f
]
¢ºSgB¥
faYj~
f
f!]
¢ºS>¥
Q]|Zhbª·dLQ®³jskvd.Z_YQcsQcY}bQ]fak Z[d.ZhkM¸fg\hknQ®Z_Y
SdK Z²¦jfaYj~\[QcdK V 3eK !Q]
UH° Q]Yj^gdZhbQ
dLjfd2$/V3']
Z_kXY^ad¤|s^~ijb²dZ[BQa¦@knZ_YjbcQZ[dXZhkXsQ>~ijbZ_p\_Qd^H]
dH]
¦@LQPYjbQxQ`aQd
faY^gdLQcsM{odQcYj~Q>~§efass^ Z[Yj`Z_YQcsQcYjbcQ
]
!]
LjZ_bL¶^BsZ_`aZ_YjfgdQPk s^BO5p:^gdLb\hfgi}knQ>k.^gdLQRsQ>~ijb²d>° Q\_QdDK k 3bK2V Q ]
UB°}e^9]
Z_k
|js^~ijbdZ_aQ(Z_Y SdK k Z¦Zº°QB°[¦ 3 Q ]
UH¦fgY}~dLQ\_QPfakndb^BiYHdQPsQcfaO(|\[QR^Bs SdK@VBZXZ_k]^BYjbQ
fa`BfaZ[Y $ H°K^®sQP~ijbcQxZ[dxQY^ YjQcQP~dLQ kQPbc^aYj~Z[YQPsQPYjbQ fap}^BQ¤¢S>¥¦JfaYj~\_QdHK 3aK k Qf5]
UH°KMLQ®YQc"b\hfgijkQXp}Q>b^aO(Q>kdLQ]\_QPfBkvd.b^BiYHdQPsQcfaO(|\[QB° J´d.Z_kMZ_ssQP~ijbZ_p\_Q®faYj~bcfgYp:Q]sQ>kn^B\[BQP~
Z[dL!]
` ]
f!]
b
J Y dLjZ_kQcfgO(|\_QQLjfJaQijkQP~ dLQO(^~Qc\¤b^aY}kvdsijbdZ_^aY fak(^aijsR`BiZh~Qa¦tbL^o^HknZ_Y`fg\_fJmkdLQ
Z_YQPsQPYjbQ]dLjfd¤sQ>~ijbQ>kMdLjQ\_QPfakndeb^BiYHdQPsQcfaO(|\[QB° QLjfJaQ~^aYQ]dLZhk d^7Z[\_\[i}kvdsfgdQ®dLjQO(^~Qc\
bc^aYjkndsijbdZ_^aYl°JY(|sfab²dZ_bcQa¦JL^QcBQcs>¦PZ[dtZ_k#i}knijfa\[\_mY^ad#QPfakZ_p\[Qd^®bc^aYjkndsijbd<dLQMO(^o~Qc\Qco|j\[ZhbZ[d\_ma°
x6/c) $67!
M! -µ]!
Q(LjfJaQ|s^BQcYdLQ(sQcidfgdZ_^aYjfa\<bc^aO(|\_QdQPYQPkke^as®{odQPYj~QP~¨efass^ Z_Y`7fgY}~w Q>kn^B\[idZ[^BY
Z[dL^Bs~QPsZ_Y`sQ>kvdsZhb²dZ[^BYjkP¦:ijYj~QcsdLQ|s^oZ_k^·dLjfdfkiZ[dfgpj\[Q^Bs~QPsZ_Y`)^as®dLQ`aZ_aQPYdLQc^Bsm
QcZ_kndkP° QMLjfJBQfJB^aZh~QP~®dLQM|s^ap\_QcO"dLjfdtkªa^a\_QcO(Z_ÄPfgdZ_^aY~^oQ>kYj^gd#|sQ>knQPsBQG\_^a`BZ_bPfg\HQPqHiZ_Jfa\[QPYjbQ
pom7fB~~Z_Y`·fZ_^aOkMZ_OR|j\[moZ_Y`(dLjfgd.QPqHiZ_fg\_QcYjbcQa°OJ´desQcOfgZ_Yjkd^Z[YoaQ>kvdZ[`HfdQ¤L^ ijkQi\{Ge ¤w"Z_k
Z_Y|sfab²dZ_bcQa¦ Z[dL§^Bs Z±dL^aid dLQ^Bs~QPsZ_Y`RsQ>kvdsZhb²dZ[^BYjkP°K^(dLZ_k.QcYj~QfgsQ®bcissQPYBd\[m7x^BsªoZ_Y`
^BYfR|s^gd^gdvmo|:QXZ_O(|\_QcO(QcYHdfgdZ_^aY^g#{Ge ¤w"Z[Y{ 4 eH.[J1º°
KMLZhkRx^Bsª¨OfJmp}QoZ[QPxQ>~ fakRf§³jskndRkndQc| d^Mfgs~kbPfg\hbi\_ZxdLjfgdRZ_YHdQc`BsfgdQ7bc\_faijkQ7Y^BsOfg\
^BsO5b^BOR|jidfgdZ_^aY§ Z[dL§Z_YQcsQcYjbcQPkP°[J Y§|jfasndZ_bci\_fas ^ase\[^B`aZhbcfg\Q>qHiZ[fa\[QPYjbQ>k Z±d®knQPQcOk |sQQPsfap\_Q
ÓDzÇÔ ÕÖ²Öײײ×jÑͲÎËJÏnÐÑhÒ²ËcÖÊÈÏ ÔcÊcÆÖÔËcÎÇÓcÊÎcÖÖ cÖ
d^(ijknQXdLQcO ^as sQc sZ±dZ[Y`}¦Z[Y}kvdQPfa~)^g~Q>kvds^moZ_Y`dLQcZ_sekndsijb²disQ®pom7faY)Z_YZ[dZhfg\dsfaYjkv^BsOfgdZ_^aY
d^b\hfgijkQ®Y^asOfg\:^asO°{Ge ¤w"Z_kM\_Z[O(Z[dQ>~)pom7dLQX¸fabd dLjfgd dLQ®sQc sZ±dQ]knmkndQcO Z_k³Q>~°[J´d. Z_\[\
p:Q.Z_YHdQcsQPkndZ_Y`Xd^knQPQ LQdLQcstZ[dGZhk|:^BkknZ_p\_QMd^]³jY}~(`a^o^~Z_YQPsQPYjbQ.kmkvdQcOk LQPsQ Q>qBijZ[fg\_QcY}bQPk
fasQ®fa~j~QP~~moYjfaORZhbcfa\[\_ma¦od^(|}QPsn^BsO fRªoZ_Yj~^g#|jfgsfgO(^~i\hfdZ[^BY7^aY)dLjQ]\[QPaQc\^a|s^a|:^BkZ[dZ_^aYjkP°
J Y(dLQebcfBknQM LQPsQMdLQ.sQc sZ±dQ.knmkndQPOZhkt|:^BkZ±dZ[BQ Z[YRdLjQeknQPYjkQ ^gl©e^QcªfgYj~ QcsYQcs .31}dLQ
bc\[^HknijsQ.^B|}QPsfgdZ_^aY·Z_Y7^BisOR^~QP\:bc^aYjkndsijbdZ_^aY·sQPkQcOp\[Q>ktdLQcZ_sMb^aY}kvdsijbdZ_^aY·^af|jsQPOR^~QP\:fBkxf
³jo|:^aZ_YHdx^afiYjbdZ_^aYjfa\:~QPsZ_aQ>~Rs^BOdLQesQc sZ[dQ.si\_QPkP°J´dM Z[\_\}p:QeZ_YHdQPsQ>kvdZ[Y`d^ijsndLQcsxZ[YoaQ>kv¡
dZ[`HfdQ]dLZhk®b^BYYQPbdZ_^aY^BsedLQ^adLQPs¤bcfBknQ>k.Z_Y¶^as~QPs.d^)p}QcdndQcsXiYj~QPskndfaYj~§ LZhbLb^BY`asiQPYjbQ>k
\_QPfB~·d^knQ>qBijQcYHdebcfa\_bci\[Z Z[dLdLQbid.QP\[Z_O(Z[Y}fdZ_^aY|s^a|:Qcsdvma°
.-0 1
JxdLjfaYªx\hfgij~Q¬®Z[sbLYQPsx^BsMdLQ]OfaYHm)~Z_kbi}kkZ[^BYjk^aY)dLZhk |jfa|}QPsP°
4 $ M!#
.[1 4Qc^ ;MfBbLOfgZ_sfgYj~zefasfa\_~«U®faYÄcZ_Y`aQPsP°.^BY¡b\hfgijkfg\sQPk^a\_idZ_^aY«faYj~kni|:Qcs|:^BkZ±dZ[^BY¨ Z[dL
kQc\_QPbdZ_^aY·faYj~RsQ>~iYj~faYjbmRbsZ±dQcsZ_fj°8JY 8 % )? #"$ )C" @H? ) FOP P
+!a?*) ¦84 M» 0HS}¦H|}fg`aQ>k.S>3g Sag}°H»o|sZ_Y`aQPsP¦@Jf\fBS°
.S1 4Qc^';MfBbLOfgZ_sGfgYj~z¤fgsfg\h~U®fgYÄPZ[Y`BQcs>° ekkn^bZhfdZ[BQ¡b^BOROidfgdZ_aQ ki|}QPs|:^BkZ[dZ_^aYl°J Y #"$
8 "$= 8 C C??Ec RC ) [ + *"q??*) ¦4M»f>0aj¦j|jfa`aQPk @cj¦aQPsi¡
kfg\_QcO¦ f fg}°»o|sZ[Y`BQcs>°
. C1 4Qc^5;fBbLOfgZ_sfgY}~]zefgsfg\h~U®fgYjÄcZ_Y`aQPsP°g{xqBi}fdZ_^aY}fg\asQPfBkn^BYZ_Y` Z[YkfgdisfdZ[^BY¡ºp}fakQP~¤dLQP^asQcO
|js^oZ_Y`j°^JY FOP P@" D?EC 5!q?5%C"2R> ? CD?EC[ O ²¦#bLjfg|dQcs)aa¦
|}fg`aQ>k Ba o \f 3°B¬®\_iHQcs>¦©e^Bs~sQ>bLBd>¦KMLQ].QcdLQPs\hfgYj~jkc¦ f faj°
.1 4Qc^ ;MfabLjO(faZ[s>¦zefasfa\_~U®fgYÄPZ[Y`BQcs>¦ xLsZ_knd^B|LQcs 4moYjbLl¦fgY}~ fJmoYQ»oYom~Qcs>°;MfakZ_bX|jfasfg¡
O(^~i\hfdZ[^BYl° %"q ?E c^OP?E ¦l>SB¢SB¥F`[3gS @JfHS¦j f fH°
.1 4Qc^9;MfabLjO(faZ[s>¦zefasfa\_~(U®fgYÄPZ[Yj`aQcs>¦gfgY}~s`aQPYR»Hdip}QPsP° x^aOpZ_YZ[Yj`®fa\[`BQcpsf®fgYj~iYZ_aQPskfg\
fa\[`BQcpsfZ_Y§³jskvd¡º^Bs~Qcs dLQc^BsQPO |s^oZ[Yj``:KMLjQbcfBknQ^gGb^BO(OidfdZ_aQsZ_Y`Hkc° JY #"$
"$= [ 8 ?/ CD?EC % qq"$ @P
) [
¦84 M»(fB0¦o|jfa`aQ>k¤ S f¦»fgYHdf¶fasn¡
`BLQcsZ[df¦OJ´dfg\_ma¦ f fB°»o|sZ[Y`BQcs>°
.0C1UXZ_\_\[Q>k©¤^xQPª:¦PKMLWcsNPkQzefgs~Z_Yl¦PfaYj~ x\_faij~Qt¬®Z_sbLjYQcs>°KMLQc^BsQPO |s^oZ[Y`O(^~i\_^j°gw.fa||}^Bsnd
~Qw QPbLQPsbLjQX aBaj¦ Jvew/Jv ¦lJf\fa°
.31UXZ_\_\[Q>k©e^Qcª faYj~ ;QcYgunfgO(Z[Y QcsYQcs>° rts^o^g¤Yj^asO(fa\[Z_ÄPfgdZ_^aY O(^~i\_^j° w.fg||:^asd~Q§w Q¡
bLjQcsbLQ BgHS¦OJv¤w/Jv ¦<Jf\faj°G .\hkn^7Z[Y¶Kxmo|}Q>k ^ase|s^o^a¸k.fgYj~|js^B`asfgOk fa¦}K®°} .\[dQPYªoZ[sbLl¦
°}efgsfakbLQP.knªoZº¦ ;X°w ijQPk¢¸{G~kP°¥¦84 M»0B 3o¦»o|sZ[Yj`aQcs] f f\f¦H||l°80HSJ¡33o°
.C1]z¤fgsfg\h~U®fgYÄPZ[Y`BQcstfaYj~.Q fa\_~O(faYYl°KMLQP^asQcO |s^oZ[Yj`XZ_Y·bcfaYjbQP\[\hfdZ[BQ.fgp:Qc\_Z_faY(OR^BY^g¡
Zh~k¤¢QodQcYj~Q>~·fgp}kvdsfBb²d¥°8JY
8
%
C FOP P@" D?EC
¦>4e JBPaj¦|jfa`aQPk
Ba2HBHS¦o.QP ;sijYjkn Zhbª@¦}¦¤» ¦ f f0j°o»|sZ_Y`BQcs>°
.fC1BQPfaY¡¶fgsZ[Q®z.ij\[\_^gd>° faY^aYjZ_bPfg\:^asOkfaYj~)iYZ[³}bcfgdZ_^aYl° JY #"$
*CB%
C FOP P
@" D?EC
¦84M» 3¦|jfg`BQPkM > a g}¦>4QPk .sbckP¦[:sfgY}bQa¦ faB°»o|sZ[Yj`aQcs>°
._PC1®w.^ap:Qcsd]eZ[QPioxQPYLoiZ_k]faYj~¨ .\_p}QPsnd^w.ipZ_^j°(KMLQc^BsQPO |s^oZ_Y`7 Z[dL^Bs~QPsZ_Y`b^aY}kvdsfaZ[YQ>~
bc\_faijkQPkP° J Y #"$
a
*CB%
FOC2C @" D?EC
¦4M»_0B 3o¦j|jfg`BQPkM 3>3 o\fB¦
»fgsfd^B`BfR»o|sZ[Y`Hkc¦¦Jf fHS°»o|sZ[Yj`aQcs>°
._a1®w.^ap:QcsdeZ[QPioxQPYLoiZ_kfaYj~R .\_p}QPsnd^®w.ipZ_^j°rfgsfgO(^~i\hfdZ[^BY Z[dL(piZ_\±d¡ºZ_Y( G¡dLQc^BsZ_QPk#fgY}~
kmoOp:^a\_Z_b®bc^aYjkndsfgZ_YHdkP° O"q % ) ? OP?E ¦}Sg 5`_ Sa¦:Jf\f 3°
._>S1®©XfJoZ_~ °rt\hfgZhkvdQP~fgYj~tiYjkLjfaY :Loil°tw.Qc|\hfabcQcO(QcYHd sij\[Q>kM Z±dL~Q³jYZ[dZ_^aY§~QcdQ>b²dZ_^aY°
._P C1 s`aQPYR»Hdip}QPsP°:»oi|:Qcs|}^HknZ[dZ_^aYdLQP^asQcO|s^oZ[Y`¤^asfap}QP\[ZhfgY`as^ai|jksQc|sQPkQcYHdQ>~fBkZ_YHdQP`aQcs
O(^~i\_QPkP°
[" ? #*C jO"
j
?E
¦:Sga}¢v Sa¥Z`[P\f2:3>3o¦}Jf fB°
._c1 s`aQPY »Hdijp}QPsP° »i|}QPs|:^BkZ[dZ_^aY dLQc^BsQPO |s^oZ_Y`¶^BsRbc^aO(OidfdZ[BQ)sZ_Y`BkP° J Y ^a\[`BfgYj`
;Z_p}QP\faYj~7r#QcdQcs¤z°}»bLjORZ[dnd>¦jQ>~Z±d^askc¦ FOP P @ ?ER !q? %" Rc ? ?E8
O # ? CD?EC[ ¦obLjfg|dQcsxS¦g|jfa`aQPkG a°J¬®\_ioxQPsP¦g©¤^as~sQPbLHdP¦BKMLQ..QcdLQPs\hfgYj~jkc¦
f fB°
._>1 s`aQPY»Hdip:Qcs>°{|}QPsZ_O(QcYHdkM Z[dL§fgYZ_O(|\[QPO(QcYHdfgdZ_^aY^g#{odQcY}~QP~efass^ Z_Y` eYj~w Q¡
k^a\_idZ[^BYZ_YdLQMsQP sZ[dZ_Y`X\_faY`aijfa`aQx{ 4 ¤ ¢knmkndQPO~QPkbsZ_|dZ_^aY}¥°»oipO(Z[dndQ>~d^]w#K £SgBB¦
©¤QPbcQcOp}QPs¤SgBa°
._B0C1 s`aQPY«»odip:Qcs>° ["[q?D?EC [C"$ #"?*)@%"^@8OCD? ! )>"$? ["q?E °
©¤ZhkkQcsdfgdZ_^aYl¦@efgdis Z_kkQcYjkbLjfd\[ZhbL¡KQ>bLYZhkbLjQ :}fgªoi\[dgd!J²¦ .YZ_aQPskZ±d d¤~QPk®»fafas\hfgYj~QPkP¦
»fafgsps jbªaQPYl¦SgBa°
._31 4fgisQcYHdeZ_`aYjQcs^aYl° ekk^obcZ_fgdZ_aQc¡´bc^aO(OidfdZ[BQ¤~Q>~ijb²dZ[^BY Z±dLbc^aYjkndsfgZ_YHdkP°TJY #"$
8 *CB% C FOC2C@" D?EC ¦ 4M»¯c}¦@|jfg`BQPk]g Bga}¦jefaYjbmB¦K:sfgYjbcQa¦Jf\fg}°
»|sZ_Y`BQcs>°
._PC1 e\[sZhbL QPsndÄa°:<Z_skndn¡´^as~QPsMdLQP^asQcO3|s^HZ_Y`O(^~i\_^·QPqHijfgdZ_^aYjkP°.KQPbLYZhbcfa\w QP|}^Bsnd®§rJ´¡
J´¡fBS¡ SB0j¦H¶fgo¡ºrt\hfgY}bªB¡JYjkndZ[didMs/JY^asO(fgdZ_ª@¦j»fafasps jbªBQcYl¦ .|jsZ_\Jf\fBS°
®/ M!<
@P Á Â <gÁ
® ½ <½
)½BÀ Á < Á Á ¸Á <
½ ½ ½ < ½ ¾ P ½ §
½¶Á Â ½ Á < Á Á Á <
Á Pc <g ½ J<JÂ Á Â ½ ¸ ¾ ½ ½ ½
)½ PÁ x Á ½ ½ ½ P
!"l ½
Á <Á <Â#J
½ ÀÁ %$