Equivalence problems for finite-state and one

!"$#%'&()#%*#+ ,
-&(.#%/012%+
354768:69 ;1<>=@?A=
B CEDGFIHKJ2LNMO5FKPQJRD
SUfhTGYk[XVXYzWZTY\VXqrTg[]VX^Za$_@bEÀdgacfXbea@dgizfhYka@[h[]iQYjYj[z[X[XYk^Z[I[]^Vml5ocrat`Gnpoc`GqrT2nAo$YjiQocVXTZqrs[(qtVXacqrbYk[X[(a$ocnGfhY0Y)uGnpvjocw$VXxzWgy{Yky}|{nG~ocVXocqizTZo$_gba$xQfhnp| 5ocrqr[Xn|v~ZqrT'Noal5_goYzr`RtqrVXTgWZocnGV5o$Yko$ZTZ[mVh[fhfhoYzidgV[
bdgfhfha$a@n"iQYk^Z[h[XTgYkqt[knGd[X^Za$ifXWVho$o$T[5V5Vh_@WZYQoVocV:qroAr[($acqrbs$VXYkWgT'Y+dg[]fh`@a@[]iQVXYjYz[Xn[5IWZKo[YzfhoRqizqtosVhYzqtTaTGdgfhaca$beddgYzfhfXaVmiz`pYk[ha$[]f5YjVX[7WZnGocVYkocVXTWg[KY0dgfhYzaWsoqrTgsqra$f[]Vh[5ocacVXb>YznGVmlYkapTV[X[òc[]VXYka$np^gV[
ocfhY%SUYkT%VX^gWZqrsY(oc[mrVhYz^ZT_@Vk`+ acbgiQaTZiQ^ZfXfhYzTVE[]`@[]VXYknG[k_@qt YkfXYkTVba$fhnGo$tq[XnG[ElYkfXYKdgfha$da[XYk_)ba$f>nGa_gYzrtqrTg:a$b@[X`@[mVhYznp[k
¡KocT¢g_No$nA±\dZ©@t¤²Yj[£ª ac³$b{´:[]â$f\iW'fXYkblafXfXnpqtVXYµo$tqVX[]fnpocTZ[[Xo$qVhfXqtYaTN¤7Yz[]`@VXfh[]qeVXYkTgnGYQV[A[zªt¯k_@¶q® ¥)YzfhSUYzT·TocV)TdZ`fXa@ikiQo$Yj[X[XY$[ikTgocacV+iQ^gnprq(o¦§V][]Vh^ZYzf+iWloWZ[\oV\¨b¨£a$©fhnpª «$oc¬rqr®[X¥n¸¨£©@q[\¤^Zªt[]¯Yj°k_
b$a$ffRocdZVXWEWZYl_gWZYka[hiQ[XfhYqtd@TgVha@qta_@T¹Yk[%acizb)a$VXfhWgfXYjY[]d[]`@a$TZ[]VX_'YknVha'_@VXWgqt YYkfXYkYkTWZV%os[]VhqtocaVXfRYka$[\b)aco*bKVh[XWg`@YG[mVh[]Yz`@nº[]VXYzqn[µqr¥TocVXTZYkfX_NdgfhlYQWgVhYka_[XYµtqrYj»$_@Y$Yjoc[\TizYja$_@fhfX$YjYz[]doca$TZYz_'rrYkVh_a
VXVXffococTT[][]qtqtVXVXqrqra$a$TZT[¦{bVmfXàdgn¼qizo$a$tTgr`Y+oG[mVoiQaVXY)nAVXnRaG^gocTgTgqa$izVXocWgVXqrYka$fkT7±½lqrVho$Wo$YkTaYzTTsocqtT2fha$YjTg_@nG$Y\YkTfXV£YkdgacfhbIYkVX[XWZYzTY0Vhdg[fXoca@TizYko[hi[hVX´Qqr a$T'iQa$TZTgYkiQVXYk_2lqVhW2VXWZY
¾¿À7ÁIÂÃkÂ§ÄÁÆÅÇÅ1È-ocYzrtYj_2Vhfho$TZ[XqVhqtaT[X`@[mVhYzn|ÉµpÊjËytxRÌ§Í7ÎÈ)zÎkÏÐÑ0Ò>ÓgxzXxjÔ
Õ ÍÆ|ÉpÉzxQvmÖ·[mVoVhYk[2×Ø(~Z|{Uxµv0|{~j~|{®xmÙ$Ú
Õ È)z|ÉR:(~Z|{Ux%Ézxz5vmÖoiVXqra$T[jÚ
Õ ÏÒ(ÐxµxhÛä$UÍxz~ÜAwAÈ\Óz|$É0ÜR~Í.vc®|cÉ\§|{vcÓZ~Nx+®VXvpfoc{TZÓZ[Xx0qtVXXqrx§a$åTGxXfXäYk|{rocxµVXqra$~¥T>wpÚpÝXx+~ZÉÒK|{§|{|{Ux5xµÞ zytvÏÉßÐÊ@XxAàvm|{Ö+~gÉÏUÐxhãwG|vmÚ{Ö)xjÚ)Ì§Þ(Ò(ÎhxµáÒKÎ]à>Ñ£|{Ux:âKÏ¥Þ!Ð.æÏ ÐãK~àKw ã
Ò>ÓgxzXx:çâNÈ\Q{èÚ
_@Yj[Xizé·ë£fXWgqrY*YYjq[iz_@a$YzocTZTreizVh^gqdbfX`êafh[XYz[Xo¹TqrgV:ËtY0hYzvkWZYzxQoWÉhsÉ·oqra$slf:qra$qa$Vhf£b>W½a$VhbWgaVXTgYRWZY[XY0`@[mdg[mVVhfXoYza@VXn¸izY·Yk[hacqr[z[)bA nAo¹a@Vh_@fhYko$tTZrYk[]_qtVXqrâ$[]TÆqrTg[]2`@qr[]TVXYkVXYznfhr¸Ykosë£qtWgTZY
G[XVhYzfhnpo$TZo$[XTqVhVhqtqraikT½[z£[Xë£`WZ[]VXocYkV)nìnGVXYkWgocYkTT [
VXWoV)iQaTZiQ^ZfXfhYzTV£YQ¢@Ykiz^@VXqra$TacbKo$iQVXqra$TZ[á2o$TZ_í@q[nGa_gYzrtYj_rqt»YoG[]Yj^ZYzTZizY+a$b7oiVhqtaTZ[£áí\afíQá
SUT'VXWgY%ZYkr_a$b>VhWgYiQaTZiQ^gfhfhYzTZiz`GVXWgYka$fh`$Vml5aAnpo$qtTdgfha$grYznp[ocfhY%qtTVhYzTZ[XqtsYzr`2[mVh^Z_@qrYk_eî
Õocï rqtYzsTZYzizTGY+VmTZl5acaµVXqr[]a$`@T[]ðVXYkë£nGWg[kqr[:ocdgfhfXYaVXgWgrY\YznñYkqWZ[oizso$qttarfhYk[_òacxbeóQVXÊ@WZ|{Yk[XY\yrxQ[X~¥`h[]xVXYkËnphv$[ôzYkytxQuõ^Zo$af0lxqtVXózWÊ@|{fXYjc[]ytdxz~YkiQVxGVXhaAÓZxhoöciQYk|{~f]V$oc qrT2Yk^gqrs
Õnµï qt^gsYzoòT¹÷o
´Q[X`@_@[maVhYkYz[AnVXWZocYNTZ_[]`@oN[]VXdgYznøfha$d[XYzocfXVXVmq`
[mb`òYz¢VhdZWgfXYYj[Xdg[XYkfha$_dqrYzTfXVmo
`êiz¦Yzq[pfXVhqto$VpqtTVXWgVhYYznGnGda@a_@fhYko$(acab+fµVXnGWgYa@_gboca5fXnRta^g$rqoiN÷¥¦o´][µðùoNë£bWga$fXqr[
dgfXagrYznñq[izo$trYk_*uGvjw$xzyIÓgxö|{~c
ë£WgY%dgfha$grYznúacb7nAa@_@YkiWgYji»qrTgAqr[£TZacV)iQaTZ[Xqr_@YkfXYj_qrTVXWgq[£dZo$dYkfk
VXq[£WoTgVû:acV)VXaWZl½[XY^gqtVXTgVhWZocacYzZVhfhqttYµaY%T'qb[)aa$f:o2bIiQoca$^gTZTYj$iQ[m^Z^gVhfho$qtafX$YkTEY%TV£Ykl[XWZ^g`@Yzqr[msTVhocYzrl5npYzTZYµ[ziz []Y$WZ}ü+a$^go$[5_NVXiQfao$TZ_g[XqVhqr_@qtaYkTZfocVmrl5tà^Z[][]`@Yj[]_VXYkqtnGT[:VXWZVXY0a2VXWgYµYka$Yjfh`2^gqtacsbIo$bta$YkTfhnpVjocS®eV)ocVhTg^gfXT^Z[:oca$Yk^g[kV
_d@aYzfXlbSUa$TTfhnGocVXWZ^@[YRVha$[]izanponG[]oY0Y)Vha$iQa$TEabKInAro$ëdZTg^Z^@$fXVh^ZqrocTgo$VX$qra$Y0npT2Yjo$aiTp^ZWgqtqrVXsTgWgocYpY\rYzYQqtTTZViQicdgY$Ø^@´VlVXocYµWZTZoc^Z_pVµ[]o^WZizocoiQr[0tYk`d@oVhWZ[loa$s$afYfh_
fXoY]ýml[]Yk`@fXiQ[]qtVhV]VX[VhYzYzqtnVkTòa$¦ë£rT·qrl5»$YRqtaµVh[0oA[X`@qrTg[mTgVhdgYzq^@VhnpYRVµ[(o$Vho$oc^@fXdVXY)aY2nGizoa$ocV0TZVX[XVhaqWgTE_@YYzZfhdg[]YkVh^_Ao$[]f]VhW@Vja
þmÿ
!"#$%&'
()%
$ %*+,%.-
¯
a
b
a
c
a
b
c
>qr$^ZfXYG¯$î±)TYQ¢gocnGdgrY%acbIVmlaAdgfhaizYk[h[]Yj[£lqVhW^ZqVhY_@q ¥YzfhYzTV:izo$dZocZqtrqVhqtYj[
VXfhWZYkYiQYµYkYkqtizso^gYk[]qr_'Y0soc_@a$rb7^gYzTfhizqtV)a$TgTZqtGbIiz^gVhVhWgWgfXfhYYzYzìQTaV)o$nGik[XiQ`@dgYk[m^@d@VhVhYzV)ocnpocVXqrTZ[za$5_TEë£fhYmVhWgýmWgYzYjYzqrif)`'VqrfXVhTgYjWgdgiQYµ^gYkV)qt[hsocqrY+nG[:oTgYiacVX[]V)qrYza$Vh»T[)Tg[acaocb7lTZlT_'aocfXfhV:Yj_go$[kVXiQWgV5YRë£Vh[mWZaGVYµocVXfXWg[]V:qtYkVXnac^bIo VXVXqrWga$YµTizqa$[)nGdg^g^@qtVXVYµoVh_gqtqa ¥TEYzZfhYzgT^gV)V)qrqrT [
ac[XYkb5^gë£a$YzWgVXTW·qiQ[(Ykdg_@[\fhqta ¥acb5izYzYkfho$[hYzi[]TZVhYjizqt[\aY)TZo$iz[µfXo$YATp¦§á@_@íYzY:TZocacqrTrVXt_N^ZYj_
[]á VXzflo´qtVhVXYkWë£_GWg[XqrnGTpYGo$VX_@WZtqtK Yo$YkbfXfXa$fhYkraTZtal:iQlYR[hqr´QTg Yz5VmYzlac¢gYkVXocYzW*nGT
dgdgVXfhrWgaY:Ykiz_@n YkYz[hdg[]qrYjq[\i[\VhVXo$YkW_pfXoYGV+qrTpocVXZWgVhtYRWgYRYZVXZfa[mV+d^gYza$fXYµfXTgbYAa$¯µfhiz¦nõoc[]VhT*o$VXf]WgdVYpYk[]f][hVhbocaocnGVXfXYjn Y[
VXVml5WZYAa
oáiVXo$qra$iVhT·qtaáTZ[µocTZoc_NVµVXVhWgWgYkY'T*[]Vhio$Wgf]aVGa[XocYµTZ_·YQVhVmWgl5YzYzT YkT*izocoTòiVXdqra$YzTfXb[+a$fhíµnocTZa$_ Tgrc`·ega$^@TgV%Y'VXacWgb\YGíA[XYka$iQf aTZ__@aYkTgdYRYkTZnR_@^ZqrTg[]
V+iaWgT¹aaqV[X[µYµdZfXYQYkVmsl5qra$YzYk^T [
iWga[]S®VKY qr[KiztYjocfIbfha$n-VXWZqr[KYz¢gocnGdgrY(VhWZoV7VXWZYro$Tg$^Zo$$YYk^gqrso$tYkTZiQY£q[IVXaa%iQao$fh[XYbafiQaTZiQ^gfhfhYzTV7[X`@[mVhYznp[k
Tga$YkizVXqro$a$^ZT[XYRacb7Vml5YkaN^g[Xqrsò$[]tVXYkYkTZnpiQ[%Y lqVhW^gqtVXY2_gq ¥YzfhYzTVµizo$dZocZqtrqVhqtYj[ocfhYpiQaTZ[]q_@YkfXYj_VXaYpYk^gqrsocrYzTV^gTZ_gYzf0VhWgqr[
onGcra@_@[XYz^ZratiYjfXWYk_aos$qtT[GYzfjVXTgYkYQVXfXVmWZnpl5YA[£a$izfha$a$»b7TZodgiziz^gfXiQa$fXYkfhVXd@Yza@TVXiQqrV\aTgrG[X[k`@(a$[mizVhf£a$YzfhTnpYmVXým[)fhYja$io$£VXfXqrYµ[]Tg`@Aac[]b{VXVXVXYkWZYknGYzT
qr[Gf:[X`YzqtTZ[]VhVXi$dgYk^@npVkë£ [z¥WglYWgqYziW
WZoocsfhqrYa$fGTga$acV+b%[X[]^g^ZdgiW da[][X`@Yk[]_VXYkVhnGa2[GVXYkikfXocnGT qrTZTgoacVhVpYRocYV
[Xo$)`[xz[]upoAVXYkdgn Xfhöa$¦{ÔGZba$tSUYkfhT·nñnGVXYkacWg_2b7YGoYkYk[(^go^gqrqrs_gsocqroc[rrýmYzYza$TZTZqrizTizY+VYGa$^gdgbITgfXoGqraa$gdZTro$YzacqtnfbeEVXa$WZbIl5Yk[]YG[XVhY\ocikVXoc[XYk`T[£[]VXiQa$Ykab>npTZVh[][hWgq´QY0_@7Yk$ë£f+qrs$WZqrYkTZY)T[]YkVXVhYjfho$^go$_*qrTZsoc[Xacqrb(VhYzqtTZVmal5izT'Y:a[Xdg`[]fhYk[]a$VXdZgYkocnrfYzon¼ VhYAq[K[X`@VhWg[mVhYzYzTnpb[%a$fha$nµTg^gròa$VhTZYk_ Y
iQ|{uGo$[hë£xA[XqWgZÉËZYkYjfXx_RY5QVXWZWgÊ@o$Yj[7uR[]YYzYj±¼YkTG^Z_@qtnGsqococo$rTYzfhT`µo$iQn _@Ykqt[ izqtYka$TfXTYkª VhgTo$¯VKqt¥TZTgocqta$TgTZVX_Aqra$[]a$TZafh[7nGa$o$YRbTgYja$q zbYk^gVX_qtWgsVXYGo$WgtnGYkYkTZn²aiQ[]Y£qrV%T2dgqto%fhnGa$Wgddqra$aYzfX[XfVhYkococ_µfTiqtWV%TR`YkVXizWg^gocYrqrrsrYkqtocVX_rYzYzfy}TZ|{o~izVhYkx^gc[\fh:Y$qtIT*§|{upVXocWgx T YA¥ôzïWgXqrrYzo$~¥fgochfÓ@iYk|{W~Yz»`
q[)`qrTYkVX^gWZqrYsocZrYzTZ^gizfXYYA«@µo$¦§fX±:YGT*oco$[XfXafhafhl½YzobfXVXaYj_Nn¸Yj`*^ZÍ£qtseocZr^@YzTV%iQVXY WgYp²iQVXaa'Ts$YkYzf^g[XqrYµsocq[%rYzTZTgizacYRV+Í.VXfh^gnGYAYkbo$a$TZf0[[XVha$WZnGoYAV%oc[X`@T[m`VhYz[]npVhoc[kVXRYj[)ë£fhWZYzocoV+VhYkq[z_
rYkÍÆqtY^gq[ qrsYQXocVmizl5rYzaYzTZo$YkizfhTYp[XYzg¦f lqr[XWgqrYjnµqi^g^gWqtosqr[5Vho$qttVhaYkWgTTZYiQYkYpiQa^gVhocWZqrfsoc[]o$TYjt[mYkVTZíQ Y2ocT¦l_ WgúqiWq[ qr[£]ZVhWTg^ZYzf[VhWgVXWY0ocZTTgYjÍ£[mØV\´ÆacbK±:ocrrEYjVXWZ^ZYkqt[XsY0ocrYkYzT^giQqrYks[o$tqtYkTòTZiQVhYjWg[hq´£[o$WgTZqrYz_focVXffio$Wiz`Y
nGWgqraYzf[]é·ocVAfY2aiWTgiz`GY'ocr_gÞq£ ¥VhWgYz[zYGf Vka¹VXfTgocÞ t`T[]Ï¥qqtb7VXßÐ/qrla$TòY0Þ iz[Xa$`(TZ[]ocVX[XTYkqr_g_¹nìYzf£l5wTgY'xQa$UizxzTo$_@uRt5YQVh|{qt~YzVfh|ÉnA~¥|vqrzTg~¥Iqw$[mqtVhxzb£qr®i\xzba$VhfuRfho$Yj|{TZ~o$[]|iÉqtWòVX§qr|a$'[]TVhoac[XVhVh`Y2Wg[]YzÞêVXfhYklnpo$qTZ[][zY_·ocYk±)Tiz`*o$t^ZoYj[XiY\VX^Zqrba$aqtsTòf:oc_@ráNYzYQTVhVXiQYzWgYkfhYk[RnGfXY2qrqtT¹Tgqq[[]VXVXWZocqYiV
[X`[]VXSUYkTGnpVX[WZY:ocfhtY%qtVXYko$fht¥ocVXVh^gWgfhYkY)[XY0o$fXYkY:^go$qrrs[Xaocr_@YzTZYQizYkTg[£Yk_pq_@[XYz^ZTiVhWpqrikocYkE^gocqrTs_2ocrVhYzWgTZY0izYkWg[7qrYzVhWZfocofViWVho$`2»$izYa$qrrTro$VhaµdZ[Xo$Ykik[kiQ a^gTV^gTga$[]YkfXsocZtY:oiVXqra$T[
fhoc¦ika$fhocTgY%rnGtTgYjacYz_ V:TV:_@U¦qo$[hl5iQiQYkVX^Zqro$[ha$»0[]TZYjg[_´q[]ZqrqrTq§nµ Y$VX^g7WgVhoq[fhVho$qtdZaTZo$TR[]dqtYjVXYkqrfka$^g Tqt[so$dtYzYkfXTZbiQa$Y£fhnGq[KYkoc_'TAYQ`p¢gocVXnGWgY0dgrdZYfXa@a$b¥iQYj[X[X^Z[5iWRlqtYkVXWg^gaqr^@sV)o$tocYkTTZiQqrYT´VhYzgfo$^@iQVKVXVXqra$WZTYk[XlY5qYjVhW'^gVhqtsWgo$Y0tYkYzTZTiQsYjqt[
IPzOºL DPFKPQJRD
/
10
32
42
52
6
7
98
:
<;
=;
4>
?
@;
(B
A;
4>
?
(B
DC
E
PRQTS
FHGJI
LKNM
OI
ULVRW*XYZ\[]^`_]a
tqë£VRWg_@YkYzfXdYGYzqT[0_gTg[a aT*]fhqrVh$WgWY2V 'dgfhYka@iQ^gYjqr[Xs[XocYkr[0YzTZo$izTZY$_· dg\fXqa ¥dYzYkfhf]YzVhTqtYjVµ[%Yjl^ZYpqtsl£ococrYzTTV0iQVhYkaN[0ik[mVhoc^ZT·_@`$7Yl^ZWg[]Yzqib^gWKa$bTgaYpf_@q[q ¥o$YzdgfhdgYzTfha$Vdgdgfh^ZqrocfXVXdYa [XYk5[0^@o$VµTZqt_ V
«
b>
c?
ed
D0
Bisimulation equivalence
2-nested simulation equivalence
Ready simulation equivalence
Possible-futures equivalence
Ready trace equivalence
Simulation equivalence
Failure trace equivalence
Readiness equivalence
Failures equivalence
Completed trace equivalence
Trace equivalence
Iqt^gfXY«gî7ë£WZY0tqrTgYko$f£VXqrnGY Zfho$TZiWgqrTgµVhqtnGY[XdYjiVhfX^gn
VXqrnA^ZfXdTZa$[GfXVhao$^@TVAVkVXWZë£ocWgVGYkqtZf:qr[X_@qtnRYzZ^gTgqtoVXVXqra$qra$TZT [bYka$r^gtaqrsl0ocî rYzTZizY$([Xqrnµ^goVhqtaTYk^gqrsocrYzTZizYocTZ_¹VXfo$iQYYk^gqrsocrYzTZizYocfhYs$YkfX`
¾UxQu¸¿À7|ÁIÉÂÃkÂ§cÄy{ytÁ xwEÇÅ gq[]AqrnµÂ j^ZÂ rocVXqra$@TòÃjÂ| ¹ÄÁÖQvc¿ R>~ Â 2ÌÞ¿Î]Á à>$Ñ£¿ â·È¼ôQÒ(|{~¥v:ÖQ vcGy{ytXvxzÒKyt|{~|v~ hvcù~wcv|{~§|vcÉ~gUÉ+UÓgxÉ0vcytvmw$Ö0Ô AX~ZÉ|{|v~É É
Õ ÖÞ ÏßÐºÞ ÖQv0ÉzvcuGx\á2â
È\Q{ÓZxQ~2à ÏßÐà ¥ÖQv%Ézvupx:à (ÉÊZÓÓgcÌÞ Î]à {Ñ5â *Ú
Õ Ö£à ÏßÐ à ÖQvÉQvcuGx\á2âNÈ\Q{ÓZxQ~Þ ÏßÐÞ ¥ÖQv%Ézvupx)Þ ÉÊZhÓ{ÓZÌ§Þ ÎXà {Ñ5â *Ú
ôz|UÉ|{UuAxQÉ\Ê@ytÞ"c§|vc~¥~ wG*à Ú Xx2gq[]qrnµ^goVhqtaTNYk^gqrsocrYzTV'v'gq[]qrnGqtocfkã5ÒK|{UxQ~NÞ àKã| ¼¦ÞÎ]àI´0â õÖQvcAÉQvcuGx
¾|Éµ¿À7y{ÁIytxÂÃkwÂ§Ä'Á [XqrEnµÇ ^goVhqtaÂ Tò| ¹@ÖQÃjvÂRÄÁc~ ¿ 2Ì§>Þ(Â ÎXà>Ñ£¿â Á $¿ {ÓZÈ x(ÖQôzvc|{y{~ytvcÒK |{~XNxzytv|~vwc~ |{§|vc~v~ÓZvÉyt®wcÉQ®Ô xQÉ)vmÖ)µ§h~gÉ|{|v~É ÉUxQu
ÖÞ Ï¥ßÐÞ ÖQvÉQvcuGx\á2â
È\Q{ÓZxQ~à ÏßÐ à ¥ÖQv%Ézvupx)à ÉÊZÓÓgcÌ§Þ Î]à Ñ5â *Ú
Þ-~Uwà½Ux:ÞÆhxG|ÉR[]qr[Xnµqrnµ^g^goVhoqtVhaYkT'_Yjô G^gqtÉs®o$ct®Ykx)TàKVkãã(ÒKÒK|{|{§U®xzxz~~'Þ Þ àKàãã(| |1"Þ ¦§Þ(ÎXà>´à½â cú~wÖQà vÉQ5vcuGÞ£Ú xµÉ|{uAÊ@yt|v~ *Ú UUxÉ
VX¾fo$¿izÀ7YkÁI[zã(ÂÃkw$Â§Äxz~Á vUExÇ w @¦Þ7´ã$¿*Éµ¿ 2>ÉQxzÂ 5v]Öµ¿Á y{$y@¿ËgvÉhÉÖ|ôzÞêytxR|ÉzÉµxóQpÊZÉxzU~UxQxµÉ0v]v]ÖÖµp$zX§|vc~Z~gÉÉ|{§|ÖvcXvc~u¸É ÉÓgUx+xzuµc|{ãÒ(xz~
xAÉw$Ux§U~¥xãgx0ÖQvÓgxupÉQxzy{5y $v]Ô Ö
@¦Þ7´ kç-âÈ\z{è @Þ ÉÊZÓ{ÓZ7Þ æÏ ÐÞ
¥ÓgxµÉ®c®xQÉÞÆc~w0à-XxµVhfhoiQY%Yk^gqrsocrYzTVzãKÒK|{®xz~'Þ £àã| @¦Þ7´ ¦à>´zÚ
/
hg
@ij
f
k lnm(op
3q+m
y
rspso
(t su
)v
v
=w
v x
zw
|{
B
B
B
(B
B
zw
|{
B
(B
(B
B
B
}w
~

y
nw
Dw
hg
gi.
lnm(op
3q+m
y
rspso
v
(t su
v
B
{
~
B
v
9i!pst
3q+m
rspso
v
B
*
y

hg
w
}w
(t su
y
B
zw
*
B
zw
}w
~
n*
v
{
J
v

!
J" B

7
`
(B
yb
!h
¤o$onG`$±:YkYkr[fKVXS7o$WgfXqrYjYp[7[]VhY5dgaµYko[X`$Wg^gYjaqr_lsocVhr`
YzWZTZoVmizV(l5YkVX[IaWgiQY:dga$^Zoqtr`$s_0YzYzfTA[kY£>Vmocl5_@aµ[]Yka:Tg[macVYjVhoYkVh^g_¹Ykqt[s¤(o$o$trfXYkoYT`TgVhYzta$f0`0V(S0iYkWZoco$TZ^gfh_òqrosioc¤(VhrYzYzrfhoTq `V(kYzYkocf0_%TSX^Z_AS0[XVXqtqtTZWgTAY:VhWgÓgaY2o$hgba$actzbEr®a¤xzl|qtoÉTZ`$§Z|Yk5f7S]ë£S7cuGWgqr[Y2xQVXÉaµ7a[X©@ocWg^Z(aiacl W b
VXWZYgiQaa$fTVhYzfh¢@o$o$fXnGÌdgë£tY(WgVXYWgY£[]VhiocWZVXo$Yjfh[oocifhVXY\YkfXYjq[]VX^ZqiKqtsoco$rYznATYV:bqta$b>fIVhWggYzqr[XfhqrY%nµqr^g[)o'oVhÒKqta|{T~~ZYk|{~^gpqrsÉocrXYzTZUizx®Y\ G¦Zbqra[Xf:qtnR¤^goo`$VXYzqrf5a$TµS]S ocnGYéq[I_gYQZTgYj_
VX[Xf^Z`2ociTWoR[]VXqtVXVXfWZqroca$ocTZT*Vµ[XqqracVhTòqtbaVhYzTWgs$qrlYk[%fXqt`*VXdZW'fXnGa@VXiQaWgYjs$Y0[XY2[%[hoc¤o$nGTZo_Y+`$YkrVho$f%WgqrS%[+Yk§ikVhKocfhë£T¹o$TZWgi[XY%WgqVhaqtaao$T
nG[]Y2Y+nµoizâ$dg[mTV0fhVXa@qriQTYAYj^g[XnpYk[0[5ocWZ^gVhY2iTWgVXl5qrYjeo$_NTa$TZVhqrT
[%Y\VhVha$aNWgbYGVXdgWZacoY+VX`
WZdZYzrlf%oqt`dgVXYzWEfhfa7[izWgikYkY2oc[h[)TdTZYz`NfXacbVa$¤(fhdrnpoYk`f][0bYzaa$f+fXTZn S]Y S
ocT`pë£VhWgfho$YTZi[XWZqVho$qtfhaoT iVhYzfhqrVh[]WgVXqYzi)TVhocWgnGY0Y%dgboa$`$f£YzVhfWgVXYµW[XoqtV:nRq^g[:o[mVhVX^Zqra$iT»2Yjra[X^ZYkqt[ks7ocrS®Yzb>TVhiQWgYpY0¦[Xo$qtnRnA^gY%oTgVXYkqrs$a$YkTf5YkocTZnG_g[kYjZ´5¤q[:o_@`$YzYkZfTgSXYkS_l[XqrqrTZnA[kqr ocfht`
gocr^@l£V5o¤`[5odg`$Yzof7`2SKlizo$qtVXTpWiVXWgWZaYa[XiYWgaVhWg[XYzY:T'dgdgfha@fXa@iQYjiz[XYk[K[h[zWZ Yl5o$TV[7VXa0dZro`RlqVhWpa$Tgr`RocVVXWgY)Yk$qrTgTgqrTgZocTZ_RVXWZYzTpWgY:nR^Z[]V
8
v
/
e
PRQP
n[TZa3a]a¡ D¢`£sN_]a3a¤]a
XVû:oca
ra$l0alfX@WZqtVXqtob>WZVµnAl5YzY%q¢izVXl5o$Yzto$Tr`2T_VYjlVhaG^ZYqt[Xsika$ococrrT¹s$YzY)To$iQVX^@YWgVXY0aa$nGb7Yj[Xoc^g`@VXqt[mYGsVho$YzVhnptWgYkqrTZ[[iQVhVXY+WZYjdgo[mVhV)fhqta$TgWgors$YznY+S®VRb^gba[XrWgIfa$ë>[]^ga^gnAfh_qtY\TgpVXYfdociQaTrl5Yk[]qto$YzVXf0fjqra$gVXTWZYjoc[]iz`@VRo$[]qtVX^ZVµYk[]nGYµq[[klTgYa$VXWgVµikYkocdfXTY%a[XYkq[X[oqr[]goRqrtrY2`^gVXfhYjaYk[m_@VhVh^ZqtYkaiz[]T YV
VXWZY0WZocT·tVXVXqrWgTgYpGa$dgVXfhWga$YkgfrYzWZn o$TZVh_ea2I[]q^bil5WY2o$T'iQa$YjT[]^Zq_@qtsYzocfrYz[XT`@iQ[mY0VhYzdgnpfh[0a$glrYzqtVXnW ZTZqVhYzr`*npocT`·[mVoVXYj[zIocrKVXWZY2Yk^gqrsocrYzTZizYk[0qrT
VXocWZr$YµaWgfXqtqrVXYzWZfnocfiZWo$`[XYkoc_fhYa$_@TYkYQiz¢@qr_ZWZoco$g^Zr[]YVXqr¦s$[XY%a$nG[]YjYocfa$ib7WEVX WgYkn qrTNda$r`Tga$nGqoceVhqtnGYj´QeoV)rYko[mV)`[]anGY0»qrTZ_a$b ]TZo$qtsY
YkdgrYQ^g¢@û:qrsqtVmaoc`2l-rYzacTZbIVhizWgVXYRYzWgfhdZY0YAfXdZaqr[%fXgato'Ykgn tTZYknoqVh[0^g¦fh_@qrTo$YkIizVXqrWg_g^gYo$Yjgik[mro$VhYAqt[XaY+o$TETZVXe_*WZloc[XV:Wg`@Ykq[mV:fXVhYRYzq[npYQ¢g_@[\o$YkbiQiza$VXqrf%_ZròclgtWgqrrYkYjq[\i´XW*ð VXWZqtVYRq[\a$^Z^gTZT_@_gYkocizfhqr`_ZocgYzrVmY$lYko$YzTZT·_*[]l`@[]WZVXoYzV0npq[\[)bVha$Wgf+Y2liQWgaqnAiW
ba$f:©_gaYQZnATgYRqtVXacqra$bTVh[hWg´QYAî nAa[mV%qrnAda$fXVho$TV+iQo$[h[XYk[:a$b(dgfha@iQYk[h[XYk[VhWZoV0ocfhYR[]VX^_@qtYj_NqrTNVhWgYAZYz_
o$fXY¦§[]YkYRY IªØ°j
Õ 7©g± ZTgqtVXY[]VhocVXY0oc^@Vha$npoVo
Õ 5¤e± o$[Xqri+dgfha@iQYk[h[£ocr$Ykgfho[
Õ 5¤¤ Zo$[Xqri+dZo$fho$trYz¥dgfha@iQYj[X[XYk[
Õ ¤ :± dg^[]WZ_galTo$^@VXanGocVho
Õ ¤(û ¤7YQVhfXq¥TgYzVh[
Õ ¨5± a$TgYz®iza$^gTVXYkfoc^@Vha$npoVo
Õ ¨5û a$TgYz®iza$^gTVXYkf£TgYQV[
SUKT'©@±¼VXWgY0q[dgofhaiQacbo$[£[h[%qrTacVXbWgdZq[fXa@dZiQo$Yjd[X[XYkYkf[%a$lTgrqt`VXW·iQZo$TZ[h[XqVhYkYz[ r`
K©@np±oc T`
¨5[]Vh±ÆocVXo$YkTZ[kp_ S®V¨5q[0û-Zoco$fh[XY%qizizoca$rrTZ`[XqVX_@WgYzYpfhYkl5_eYz rK»TgalTiQo$[h[%acb
TgaTZ_@YQ¨5VhYz± fhnG¦§ocqtTg[]qa·[]VXqizi+ocrZrYkTg_qtVXYa$TZocYQ^gUVXiQa$a$np^ZTocVhVhYzogfR nGoiWgqrTgYk[´+ba$fhnºoNdgfha$dYzfA[]^Zizro[X[µacb)¤ )±7¤ :±úqr[Ao
izro[X[µacb
dgacb7fha@¤ iQ:Yk[h±-[XYk[£o$fXVhY+WZYzorV)YznGWoYzs$TYV[oGacZb TZqVhYRiQgalTWgVXfhYza$fhEY ^gTZqqVG[¦oRo$[ ZTgKqt©@VXY±\[X´:YQYkVac^gb7qrdgiQda$TYjVh_fXal¥qt[]VXVhW
ocVXo$YjT[qtocT@TZ_ Tgq·VhYRqr[[]VhoRoiZ»TgqtVXq§Y Y$£[XYQVhVWga$YRbI[][]VhVhoco$VXiYj» [
[Xõ`nRâ 1ar[koc%Të£_·WgÞ"YzfhâYµq[%_@YQZë£TZWgYkY2_
do2è a[hZ[XTgqtgqtVXrYGYG[]VXYzfV+ocTa$[]bKqtVXVXqrfa$ocTZTZ[µ[XqtocVXqrfha$YpTNacfhb5^gVXrWgYkYp[\acbabfXVhn WgYµb)afXà n ÏßÐ ÏÞ>ßÐ à7lÞWgeYzlfhWgYpYzàfhY â >Î 'â o$TZG_
Ï¥ßÐ ¨5± Þòqr[µq[:ooR[]^gVX¥fociQTZèo$[X[hqVh[%qtaacT'b¤fh^g)rY$±¼ lqVhW*VhWgY2fhYk[]VXfhqriQVXqra$TZ[\VhWZoV0VhWgY[XYQVacb[]Vho$i»*[]`nµa$[%q[ è :Î
fha$ocYkTZTo$t_`RiWVXVXocWgWggYGY\rYAocTr^g[]raVhnµoclVXYjYjYz_[f5VXocacffhb ocYGTZ[ac[Xqb5qVh[(qtVXaWgqrTnGYpdfXb^ZaatfXf]YjVn [\ocTo$VkfXIYé·a$bKY\VX^ZWg[X0YRY:IbnGa$[]fhaa$n fhVhY)WgizY2a$T[]ÏVhs$ßÐ o$YkiTg»*qtYkTè YkV(WZa$Tgof acs$VYjo[%VhqtqtaT·ÏT ßÐ b>oi¦ mV´Kèrbqta$»fY2l[]oVhWgocYkiQVXfXa$YjY ^Z[zTlVhÎ Yz2WgfjYzEâ fhY GYkiz+o$â ^Z±)[XtY
ocT_ S®V)izâ o$T'fhYYzdg[XWgfhYka[XlYzTTVhVh[WZVhoWgV:Y0YkTs$^gYknµfX` Yzf¨5a$±-b dg[£fha@a$iQT'Yj[XVX[WgYikoc[]TVhoi»¥Y0 fhYzdgfhYk[XYzTVhYk_·¦^gdVXaGVhWgY0ocYzrtqrTgGacbK[mVoVhYk[´(`
oiQadg^gfhTaVXizYkYkf:[hiz[\ocVXTWZocqrTZViQWZfhYko$o[0[]Y+ocV%a$f:nG_@aYj[miQVµfhYk« o[]Y%[oqtT*V:nGVXWgaYp[]Vfhqr$`NWV0¯0WZqtocTTZa$_·TZY[Xqr_@[mVhYjYz[%dEac b5VXfocTZ[XqtVXqra$T·fX^grYk[kEq YAVXWgYpsocr^gYGacb5VXWZY
³
¥
J>
/
§
0
¨
0
A
©d
¨
¦?
¨
¥
h
¥
h
R/
¥
¥
/
¥
©d
©d
`/
©d
\ªJ«
Jª
z«
¬¯®
®
b«
¬)®
«
³¬)®
±°
*¬
´°
.°
²ª
«
µ°
¥
©d
1«h¶·
¬)¸
¹°¸
º¬·
±°¸
·
`¬
c°
.¸
Aª
¶¬)¸¸N»»¦».¸¼·
¸
D½
J¬
=¾
¸
¥
z¸
½
¡¬
Lª
$o iQVXqra$TZ¨5¨5[£±ûÆqtbIqro$VX[)fXWgY oµY0bhso$[mocVhnGrfX^gaqtrY%Tgàca$AbIb VXqrWZT]l5YVXYkWZiQo$a$YR» ^Z[XTYzVhTZYz[Xf¨5Y0q±Æ[VXWzVhoYkWZV)fXoapVhV)Wgoco$YzTfX`_Y+o$TgqtfXbIacYqtV)V:o$o$qg[gtrYTgY%a$VXVXa2TgaA VhkVXYkYzYj[]fh[mV)aZVbbaaf f zzYkYzfXfhaaZg7VhS®Wgb7YzVX`WZYzizfho$Y+Tq[:dYk[Xf]a$bnGafXY+nõVXf_@ocqtTZ [XYkqtfXVXYkqra$TT V
dq[(ao+[h[]VXqrfgocrY:T[]lqtVXWgqra$YzTGTGfhVh^gWgtY:Y socr^gY:ÏßÐ a$b¥VXWgÞ Y+iQa$l^ZWgTYkVhfXYzY fq[ Î µkYzâ fhaZGqr [(:qr[(Î pdaâ [X[XqtZo$tTZY)_po$rÞò[Xa0â qtb¥qtVcqVh[WgTZYza$T2T@VX WgzYkYkfXfXaY q[(go$arfX[Xnpa0o$o%trVX`$focqTZb¥[XVXqtWZVXqrYza$fhT Y
fh^gtY Ï¥ßÐ Þ Kë£WgY%iQo$[h[ ¨5ûÆiQa$fhfhYk[XdaTZ_g[7VhaVXWZY+izro[X[acb¤7YzVXfhqZTgè YzVh[5lqVhWaTgY)^gTa$^gT_@Yk_pdZroiQY$
¥
4>
¤?
*8
R8
¥
`>
¼?
%8
¥
N8
¡8
\¬+·
!¬)¸
µ° \·
©¬
.°
¿8
4ª
3·
.¸
L«
/
L¸
¥
µ° ¸
pF +F øJ .F 0HIF
SUdgTNfha$VhgWgrqYz[0np[][kYj>iVXS®qrV5a$VXT*^ZfXlTZYA[dga$fh^gYkV[XYzVhTWZV+oV£ooc[Xr^gfXYjsYz^Z`qtsacocbrYz»TTZiQaYk[lqrT
T_@rqtYkTgizYjqr_Zocf(ocgVXqrqrnAtqtVmY `NgocTfoc_*TiizWga$qtnGTZdgrVXYQqr¢@nGqVmY\`[XfhdYkYj[Xi^gVhtfXVh^g[\nñba$f%o$fXYkY\_@^gYkqrsizocqr_grYzo$TZgizrYY
ba$TfZVXTgWgqtYVXYQa$U[]VXVhWgoYkVhfAY:Wdgocfha@TZiQ_eYk[h[Xba$Yk[kfpnpocTo$_AT`¹VXWgizY:ronp[X[Xo$YkqtT2[Aa$iza$b\TZqrizT@YzZfhTgTAqtVXqYz[K®Vh[]WgVhocYzVXfhYNYQba[X`fXY£[]VXVhYkWZnpoV[za$TgTGaVXWZYkY)^giQaqrsnAo$tdZYk^@TZVhiQocYVXqrqra$TTZo$VhWgYNiQa[XnGddgYjitYzVX¢@fh^gqVmn `
qYk[\^g_@qrYjsiQocq_grYzocTZZiztYjY´qWg[£aVXl5WgYzY0sYjYzfj@^gbqta$sf+o$tiQYkYkTZf]iQVY%ocqrdgTfha$qtTgVXrYzYkn¸fXYj[m_@VhqtYkTZizqr_giQo$go$r[hY$[] Yj[:ocT_Yk^gqrsocrYzTZizYk[µ¦Yk[XdYjiQqocrt`'ba$f\gq[]qrnµ^goVhqtaT
À
Á
G
(K
<Â
\ÃOKÄG
f
¥
ÅRQTS
ÆÇXT^`XÈ¼]Éa"È¼Z(È¼]§¢`£sN_]a3a]a
£ëocrWgYzTY\iQYkYk[k^g qrso$tYkTZiQYj[qrTpVXWZY\[XdYjiVXfh^gn¼izo$T2Y\$YkTgYzfocrtÀ_@qrsq_@Yj_GVXapÉ|{uAÊ@yt|v~ Uy}|töx0ocTZ_Xhx Uy}|töx+Yk^gqrs
YkrYzTZ^gizë£qrY$sWgocY·r¥Yz®TZ[]TgizqrYknµY·[]VX^g¦§Yj[]_'o^Vhi[XqtWaqrnµT@o$®^gt[Aqr»$ogVhY*qqt[XaYkqtTnR^gYz^gqrVhrsi$oco$VXÁtqrYka$TZS®TV:iQYjl£Yk['o$^g[o$qrfXs[XY
Wgo$taVXYklWgTZY·T'iQYYkVX(WZ[X^gocqtV)nRqrsococ^grrr¥YzocTZVXVXWgqriza$YkYjT['[]Y0YkYjYz^gVm^ZlqrsqtYkso$YzoctT½YkrYzTZTgiQiQYqrYk[Xqr[nµfho$Yk^gfXo$Y0_go`Vh_@qtUYja[XiQTêqtqnR_goc^gocTZZroc_½tVXY0qra$[]qrTqrT¹nµdYj^Zaroct^g`VXqtTgqrsa$a$ocT
nGqro$ë£¥VXWgqrYnGVhYfho¦iQ[XYzYzYprqtªt»¯kY£¬EYkba^gf:qrsoAo$tnAYkTZaiQfXYjY0[_@ocYzfhVhY:o$_@qtrYzYkZ_Tg[XYk^g_2fXsqtTGYz`pVhYza$fhbnGVX[(WZY0acbefX^gYj[]T^gta$Vh[^g´TZ _gYk_p[XYk^gYzTiQYk[acbEo$iQVXqra$TZ[\¦{VXfo$izYk[ÍSUT
$ocYkTTg_YzfocYzKVmlo$tYk7YzYkT¹^gdqras[hoc[]rqrYzgTZrYQizYkb[+^@VXqrT*^ZfXVhYjWg[0YpYk[]d^gYkqrsiQocVXfhrYz^gTZn izYocYQTZVml5_òYzVXYkfT*o$iQfhYpYkoYj_@`^gqtVXsfo$o$tizYkYRTZiQYjY2^ZqtYzsroca$rTZYzTiQVXYpaocVhTZWg_Nq[RVXfiko$oizVXYRYk$YjafX^Z`qt'socS®rVAYzTl5iQoY$[
UiQanAdZtYzVXYbaf+o$t
VXdgWZfhYka[Xs$Y0Yj_Ykqt^gT qrsª «o$jtYk7TZVXiQWZYjoc[zV) VXWZYRYj^ZqtsocrYzTiQYµdZfXagtYkn ba$f\ZTgqtVXYQU[]VhoVhYRdZfXa@iQYj[X[XYk[)qr[
gq[]qrS®nµV:^Zl£roco$VX[£qra$dgTfhaYks$Yj^g_2qrsqro$T¹tYkª TZ«j>iQYVXWZocVVXWgY0dZfXagtYknúa$bIYj^ZqtsocrYzTiQY%acbIZTgqtVXYz®[]VhocVXY0dgfha@iQYk[h[XYk[£q[ ZUiQanGdgtYzVXY%baf
)x
x
sÊ
¤Ë
Ì+ÍÌÎ¡Ï¡Ð
JÌ
ÅRQP
Ñ¤^ÓÒ^`XÈ¼]É
a¤È¼Z(È¼]§¢`£sN_]a3a¤]a
bSUla$T1Wgf+Ykª ~jfX+Yvc¦§TZuGoca2TZx_·wVXfoc5qrT1T¤e[]±êª qtVXqr´dga$TZfh£a[\ocizocYkYzfh[hVXY[]YkYjTEd[z £a5[h¦[]±½YkqrfXgdgrY$[mfhVhØa@´fhiQoYkû:[hoca$[TZfhqr_ nG[+Yk%~_ vcra$£uGd¤exdg±wcfhadZqts$bEfXYjba@_fhiQa$YjVXnñ[XW[XoYko$Vµ[\Tg`GiQaq[XfhfXqtYkfhnRoYki[X^gWZdrococaVXgTZqrr_'a$Y)TVX[]aVhYkociQVX^ga$Y)qrTsqVh[5ocYQrfX¢YzYjV]TZo$izbiYpfXWZYko$qrY0[µg$r_@Y)fYkocoµiznGqr[]_gnpVho$ocgocVXfrY$Y [
locTZqtVXacWgVXaWZ^@Yzf£V5dgfhYkfh_ga^ga$bTZ_g^Zo$[XqtTTZVRTgVa$ocTgVXrYkYkfXo$nG^qrTZVhYkociWg[k7TZqr©qr^gnGY%dgl£rYzo$f£[5dgdgfhfhaYka$[XbeYzacTbeVXYjVX_2WZqrqr[5T·fhYkª «c[X¶^g®V5l5ocoVX[Ykfkdg fhYk)[XqtYzfT[]VhWgYkb_GYz_e`$¨5YkfXocfh^Z^giknñoc>o$ª ¬TZe_'ocNT_pa$r`$tYkYzVf
[XWgalë£YjWg_pY+Vh_@WZYkoizVqr_gVho$Wggqr[:qrtqtdgVm`pfXaacgbErYzgnñq[XqtqnR[^gqrT rocVXqra$T2YjN^gªqt¯ sjo$®t YkTZiQY\ba$f £¤e±1dgfha@iQYk[h[XYk[qrTYzTgYkfho$iko$[XY)l£o$[Yj[mVocgrq[]WgYj_
qrTªt¯S®VGl5oë£[µWg[XY0WgYkatlYknGT¹YzqrTT½Vho$ªtfX¯z`2³£o$VXtWa$ofhVAqVhVXWgWgn YbYka$f£^gVhqrsWgocY0rYzdgTZfhiza$Y'grdgYzfhn a$Z¦tqrYkT n baf £¤e±¸gdg´fhal£izo$Yk[5[h[]dgYjfh[Ykq[X[µYzT^ZVXTZYj__@YkqrizTòqr_Zª occg rYbafAo$t
Yk^gqrsocrYzTZizYk[£qrTVXWgY[XdYjiVhfX^gn¸YQ¢giQYkd@Vgq[]qrnGqtocfhqVm`
[qrXTWgadl5a$Tqrr[X`qrTgnµà$^gnGNoqocVhoqt¥àVhfAT'qtnGª Yj«Y2°k^Z>ªtqt¯ VhsWZoc®or YzV\TVXiQWgY0q[\acb dgfX£a¤(g¤.rYzn dgfhqra@[ iQYj[X[XYk[5qW[)oc_@fYj_eiQ q_ggocagf)rY$Tgao$fX[nGl£Yk_o$[£[X¤Wga¤lqrT[:qtVXTòWgqªt[\¯$¯dg7fXaocgTZr_Yznõªt¯j«j_@®Yk(izS®qrV\_go$l5gorY[
YQ¢gizYz±)d@[GV:l£gqo$[X[AqtnG[XqrWgro$afXlqtVmT`$ qrT-ª¯ (VXWgYYj^gqtso$tYkTZiQYdgfha$grYznºbaf 5¤¤"q[G^gTZ_gYkiQq_go$gtYbafGo$tYj^gqtso$tYkTZiQYj[
qrTª «© YkETgVXq zWZYzocfhV$^ZVXWgYk[q[£WZdgofh[%a$g[]WgrYzan¸lTNqr[ VXWZocV+gq[XqtnGWZqro$ro$fhfX_EqtVm àcb¤ :± dgfha@iQYj[X[XYk[\qr[%_@YjiQq_gocZtYª ¶
o`f+WZo[\[XWgalT
Ë
Ô
J0
(0
²Õ
D0
40
¡Ö
nÌÙÓÚÛzÐ
s×
sØ
Ë
R0
¦7
OÜÝÐÞÓÌÙÓÚÛzÐ
ß
50
0
\0
`àâá)ãºÌ
Ó/
L0
¦Ô
ß
!ä
ß
Ç0
98
!d
Ì+ÍÌÎ¡Ï©Ð
Ë
7
nµYQ^ZVml5VhqrocYz[XYzT YQT0ikV)ocZo$feqr^@[XWZVXqtonRa[nG^g[XocWgoVhaVXoZlqra$T0T%VXWZqrYjT'ocV^Zª «@bqta$s¯fhocnúrVXYzWZTocoAiQVY(dgVho$fXWgaTZYd_\YjYkVXf:f^go$[]qt^ZiQsY(o$tizYkYkrTZo^giQ[XqrY[£sdZo$a$tbIfXYka¤(TZgiQûµtYYknÆ(´ ¦ë£ba$WZf>Y¤^gû¹TZ_@q[YjiQ^ZqTZ_g_@ocYkZizqtqrr_ZqVmoc`+gWgrYarb_ga[f>YzocsTYz`%T+Ykba$^gfqr*soc©@rYz± TZizY
5ë£qrWg[XYNqrnµdZ^gfXaoacVhb%qtaacTbYk_@Yj^giQqrsq_gococrYzZTZqtrizqY0Vm` l5acob[£[X[]qtWgnRal^gT'oVXVXqrapa$T.YYj_@^ZYjqtiQsqoc_grocYzgTriQY+Yba$baf f ¨5¨5±Æû dgfhl£a@o$iQ[GYk[hZ[XYkf[5[]V`dgfhYkoc[XYzT TikVXocYjf5_.qtTòqtT ª «$ªt«j¯®® ±
^g[XqtTZnG_gdgYkriQYzqf0_go$dggfhtaY%acbb5al5f o[%¨5dg±fXYj []YkTVXYk_*qrT.ª « ocTZ_o$r[Xa'qrTª «c³®>lWgYkfXYGl£o$[%oc[Xa[XWgalT*VXWZocV0VXWgq[0dgfha$ZtYkn qr[
D!H 7M F
SUTVXWgY%batralqrTgRalTfhYk[X^gV[ocfhY%dgfXYj[]YkTVXYk_E7ë£WZY0nGo$qtTalTfXYj[]^gtVh[£qrTVXWgY%Yz_oiWgqrYzs$Yj_'[XaRbocf)o$fXYî
Õ ©qtnR^goVXqra$TYk^gqrsocrYzTZizY%qr[^ZTZ_@Ykizqr_ZocgrY+ba$f ¨5±-dgfha@iQYk[h[XYk[k
Õ )YjiQq_@qtTZG[Xqrnµ^goVhqtaT'Yj^ZqtsocrYzTiQY0q[ Z®WZocf_ba$f ¨5ûÆdgfhaizYk[h[]Yj[z
Õ r)ocYjVXqriQa$q_@TqtTZYkp^gYkqrso$^gtqrYksTZo$iQtYkY0TZo$iQTZY0_2a$b>VhfhoTgiQqY%VhYQYkU[mV^goqrsVhY0ocrdgYzTZfXa@izY$izYk [h[]Yj[£qr[ ®WZocf_'ba$f:ocrEYj^ZqtsocrYzTiQYk[:YzVmlYkYzTgq[]qrnµ^@
bdgfh^ga$Znñë£tqWg[]VhWZWgYYkY0_ZWZf`$[mo$VpYzVhVkqtfhgTgYk[Xp[XaR^gdZtVhVAfXWgaY0WZgodgtYk[Gfhn aacYkbbYza$[£Tf\acbIdgVX^gqtWZTgYk[]r[Xq»Y+[]`WgfhYjnpYk_ [Xo^gqtitT-VhWg[qtTZª o$«cY+fX³Y%®l.dgqtVXfhë£WYk[XWZVmYzYl5TVXap^ZYjTZ_iQ_@aqrYk^gTizTqrVXVX_ZYzWgocfY%g[kqrbtaqtë£Vmtr`¹WgalY0l£qraco$TgVh[GµWgYz[XVmWgf£l5aVmapll5[]Tap^ZZfX^Yj[][]Yj[]qr^ZiTgVh·Vqta[£fXTZlYj[z_@Yk ^ZfXY%iVhTgqtaa$T V
Ø
å
R
¥
0
}Ø
å
¥
7
¥
æ
ç¶è
\KÓI
Lé (I
¥
d
¥
JêRÌ
d
ëÓQTS
JÌ
ìbí4É
îÓZ£ï`^Ó]a3a|¡ }a3X.ðñW*[TZÈsXT©^ò]VRW`XYZ[T]^*_]ó ¡£©^Ó]É_©W*^!È¼]$£b^Ó]$È¼a
SUdgTfha@VXiQWgYkY[h[XYkba$[kr ralqtTg·q[GdgfXasYk_VhWZoVGVhYk[]VXqrTgacb+[Xqrnµ^goVhqtaTYk^gqrsocrYzTZizYqr[ Wocf_òdgfha$grYznºbaf ¨5û
q[£VXWgYizro[X[5a$b7_@YjiQq[]qra$Tdgfha$grYznp[_@YzZTgYj_o[5ba$rtal:[kî
ba$f:[Xa$nGY ¼qtT NocT_ qtT
±ñdZ®izfXaa$gnGtYkdgn rYQVXYqqb [ qr[ WocZf®_WZo$qb)fh_2o$To$`·TZ_ dgfh²a$gâ rYzn >qtT ¦ ®WZikococfTò_@TgYjY[X[(fhYkac_@bE^ZVhizWgYkY\_·dZVhfXaagtYkn¼qtT¹nAdYja$ocr`TZTg[a$VhnGWZoqocV5(VXWgVXqrY+nAdgYfh a$grYzn qr[
q[ ®WZWZocfo$_'fh_go$TgTZYk_[h[oca$[]bEa VXWgY%dgfhZa$®ZWZtocYkfn _eØ´q[£[]WZalT^Z[XqtTZAoµdat`TganAqocVhqtnGY+fXYj_@^ZiVhqtaT2bfha$n¼VhWgY dgfha$grYzn@lWgqiWqr[£»TgalT'VXapY ®iza$nGdgrYQVXYKë£WgY dgfha$grYznñq[_@YzZTgYk_o[5ba$rtal:[kî
+±½dZocqrf%¦§÷ ü Î÷ k´(acb 5aa$rYko$TGba$fhnµ^gocY:qrT'iza$Tým^ZTZiVhqtsY)TgafXnpocZba$fhn ¦¨5û 7´Q@[]^ZiW2VXWZocV£o$T`
iQoc^Z[XY\qrTba$fhnµ^gocY0iza$TVho$qtTZ[£Yz¢go$iVht` GrqtVXYzfoc[k
\Sm[)÷ ü [hoVhqr[]ocZtY0ocT_q[)÷ TgacV)[hoVhqr[]o$gtYð
izoco$TT
_'ë£o$WgrYG[XYaAfXfhYjYkVX_@aA_@^Z^VXiQiWgYjVXY_Nqra$izqrTpT
a$nGq[ddga$rro$Yz`[XnGTgYka$Yz_AnGTa$V:qTGoca$IVmbl5VXVXqrWZa%nGqrb[YRa$dZrVhtfXaaalgVhqrWgtTgYkYG0ndgrYzfhnGa$gnprYzo$n [kcqtVhbWZaoTgVY []Vho`µ¨5VXû²WZocdgVfhVXa@WZiQY:Yk[hl[\Ykqrt[0»[XqtTgnRa^glToVXYj_N`NocdgTZfha$acgVXWZrYzYzn fj
(¿
~¥w §¦§¶´µcÇ§XÅ xµ{ÓZx0É.Uhc~
ÉUôx0UxXÉµxwv]Ö ÊZ!xwG#"-|{~AËËZXvvjy x~¥ÉvÉzuAxÉz|Ú y>§|{upx%UvG{ÓZx5Ë¥Xv$ôzytxzuú| Ö >¦§¶´ ¦¶´ãKÒ>ÓgxzXx I¦¶´
(¿
~¥w §¦§¶´µcÇ X$xµ{ÓZx0É.Uhc~
ÉUôx0UxXÉµxwv]Ö ÊZ!xwG#"-|{~AËËZXvvjy x~¥ÉvÉzuAxÉz|Ú y>§|{upx%UvG{ÓZx5Ë¥Xv$ôzytxzuú| Ö >¦§¶´ ¦¶´ãKÒ>ÓgxzXx I¦¶´
l5aYzafhë£Y'tYjWgoc^ZY%T[XYkiQs_aocTZfhdg[mqrfho$VhYzfXgs^tYjqria$[5VX^Zqrqta$[XTTt`ò[VXWZqrqrTY%T-bVha$ª Wg« fhY\nµ®dZ ^gfXaoGë£acWgocb[YfhY\acnGbYkTZVXaWgiQ[]VpYja@[]_@qtY\YjnG_'Vmdlqra$aRTfXVht[mYko$VnGToVpVhnGYkq[£o_@[acYkbo·o$fXqY+[A¨5VXûÆ^gWgqYVhdgY+fhl£a[XoqriznA`òYk[hqr[]WgocYjaf[zl¸ ocTZ_g_2q ¥^ZYz[]fhY%YzT[XVpa$nGsocY)r^Zq_@oYkVhoqta[TZVX[AWZocacV b
_@YkTgë£acVhWg&Y Yk`%
'ocVhfhWgY'Y Yk)TZ(+*iQa@dg_@fXYjqr_nGYRo[GT^gsnRocr^gYkYk[Gfk a$Eb)YzVX-V WZY,iza$^gTVh/Yz. f2ü oc0Î .T_¹Î VhWgzqr[20Î .
Yz1 TZRiza_gYGqtTgo·[XYQ^ZV%[XYkac[Gb(dgfhaqra$nArYkYocT
T^gsnRo$fXqYkocfhZ[kt Yj[:EqrTNYQVpVXWZ^ZY[
¥
LêRÌ
êRÌ
êRÌOô
®ô"®¨bõ¨öO÷
ùø
Jõ
DêRÌ
êRÌ
ø
Jã!Ì
AãºÌ
§êRÌ
êRÌ
eø
AêRÌ
O÷
Làá)ãºÌ
úø
úø
TêRÌ
Çàâá¯ãºÌ
êRÌ
<û¯ü¼ý)þcÿ
eêRÌ
ý¤ü
=û)ü¼ý¯þ.ÿ
ü¼ý
âü¼ý
0
`/
e7
ý
þû)ü¼ý
¥
3l@lp
3þû)ü¼ý
v
¬

¬)B
\¬
3þû)ü¼ý
v
¬
º

¬ B
\¬
N¬¯B
3l@lp
g
N¬¯B
"Ô
¥
bÖ
½
Ö
Ó

Ô
»»¦»
¯
ba$fhnµî9^Z,ro*+ocÐ TZ_;t:=Yz<=V3>2ê?@ÎA@Câ BEDGFH? 2Y[ko* VjIsoc.
r' ^gY'Ja$:Eb:<=VX>WZ?Yqiz Ka$^g2'TnGVXYka@fk_L5%
4\' []qr¼Tg*¶gGVXWgS®qV[Gqs[0ociQr^grYkYo$f%lYVXWZizoco$V0Tba$_@fYQocTTg`NYso
o$st^Zococr^ZVXqroca$VXT qra$T
VXl68WZ7 WgYzYkfhfXYY qr[\[]anGY 2â [k Vj 6 6H7 é*YRizocTVoc»Y0ba$f\YQ¢gocnGdgr&Y 2VXaYdZfXa@_@^ZiQV\a$Nb M7¦ m´5ba$fR&¯ O PO 6
:E<=>?
M7¦ m´ JQ % ¯ ' qqbb 6 ¦++¦ .. '' ´´ R@CBCDGFH?
6
£
ë
g
W
5
Y
t
q
G
n
d
$
a
X
f
h
V
$
o
T
7
V

b
o

i
K
V
r
q
>
[
h
V
Z
W

o
7
V
X
V
Z
W
5
Y

s
$
o
t

g
^
£
Y
$
a
g
b
X
V
g
W
:
Y
X
[
g
^
n
T
S 1'VU ü %
'q[7qtI
VXWoVVXWZY%ba$rtalqrTgGiQa$T[mVhfX^ZiQVXqra$TZ[ikocTYoiWgqrYzs$Yj_qrTdat`TganAqocT ¥VhWGqtnG¦ #YX ´5¦[XYzYcY$ Zrgª c{´QIë£WZqr[7YkTZ[]^ZfXYj[
ocfhaYYaEt2gYjYzócV TG^Zs[%ocrZ^gfYk[][7V0qr_gTGYkVX[hWZiQYfhqtso$Y2tôoVXiQqraa$TZT [mVh68fX7 î¦^gVXqrTZa$_@T·Ykf(acb0o$[h¦[]d^ZocnAfXVhdg[%VXacqra$bTA´ VXWZ¨5ocVKû¼VXWgdgY)fhasizo$Ykt^Z[h[]YkYj[K[\a$VXb¥WZizoca$VR^gocTfhVXYGYkfh^Z[7[]a$Yjb_*baca$Vhf%WpVXdgYjfh[maVhqtizTZYk[h[]Yjac[b
é·Y'iQfhYkocVXYVXWgYVXfocTZ[XqVhqtaT[X`[]VXYk[
n Z·é·Yo_g_VXWZY'iQaTVXfha$[]VhocVXYj[ \ocT]_ \;^ÆVX_a Z EYzKV ,
/. ü 0Î . Î Q`Î .1 \Y%oµ[XYQVa$baatYjocT2so$fXqocgrYk[k ga$f5YzsYzfh`Rso$fXqocgraY .'5¦lWgYzfhYµ9¯ O bO ´Kl5Y+o_g_GVml5a
[XYQVh[£é·a$b7Yizo$a$_gT_VXfhVXa$WgeY%[]VhbaoctVXrYka[5lVhqraTgµZ'Vhîfho$TZÌ[X.q']VhÎdqtacTZÑ [0¶¦{baO-fc3Yko$e]iW·%'9¯ O ocTi_ O Ìg.f´Qî'mÎ)cÑ c¶OhcIeK%
'
Ð \lk \ nÏ[
Ðm \;^ pocTZo_ \ Ïj
Ðm \;^
Õ \ Ïßj
ÌÕ .
'X)Î cÑ ÏßÐì+Ì .
'XÎkV¦ cqp1¯jńGaL_ %'rÑ kµba$fYjo$iW¶ O_c3e]%']
Ðm \ ^ k
Õ Ì . ' ÎX¶Ñ nÏs
mÐ \;^ 2o$TZ_*+Ì .
'h)Î cÑ Ïj
Ðm \;^ ½ba$fYjo$iW¶ e_c3eu%
'X
Õ Ì .
'X)Î cÑ tÏj
Õ gÌ .
f 'X)Î cÑ ÏßÐìvÌ .
f 'XÎkV¦ cqp1¯jńGaL_ %'rÑ kµba$fYjo$iW¶ O_c3e]%']
Ðm \ ^ pocTZ_gÌ . f ' Îh¶Ñ Ïj
Ðm \ ^ 0
Õ gÌ . f ' ÎX¶Ñ nÏs
mÐ \;^wkbaf:YkoiW'
¶ ehcIeu%']
Õ gÌ .
f 'X)Î cÑ tÏj
©[]VXqrfnGocS®qtqrV$ocWWgfhV]tabàrG_ZfX\l£[p¦)oc2gba$f´_ef ocTÌg` .
f 'h2 Îh¶ÑQâ ¦)2g´Kqt {VXWZ2'ocnAxV a@\_Ly¦ 2Z%
]´ 'P ¶g+Ì.
q'X YÎX7¶Ñzq y¦ 2g68´27 q¦+z .
'U2´ |nAa@@EL_ BCDG%
FH' ?@Kºë£Wg¶gY+qdg Y$fhaa$bqt[ a$bE687 VXWg¦ .
Yj'®[]´ Y\b[o$iQVh:=[5<=>ocfh?@Y
_@aTgû:Y%a$qtTVXqiQdYµa$rVX`WZTZoca$V\nGVhWgqro$YR¥TVXqr^gnGnRY$ Ykf%acb(iQaTVXfha$7[mVoVXYj[)a$ib Z qr[+qr-T WG¦ #Xj´QEocTZ_VhWgYGiQa$T[mVhfX^ZiQVXqra$TNa$ib Zõizo$T
Y
ac}bIa~aVXwWZtYjY%oc{T2ba$fhsn o${fXq=ocGgA rYk [ K/. 0ü + Î`G. cÎ EAYQ kV%gÎ`.÷Nl1 Wg\YkYµfXocY%ocTT_2Yjo$qrqiTZ[(xW []a$VhbeocTVX0Wg iQY0Y\qb[aca$!b Yzfhqtn VXWgYkPf #ü I. ' a YQaf V)w^./[:l' 0 [] ^ZdgdAa[]Y%lVhWgWZYzofhV%Y)÷
Yjo$izia$W TNVho$\qtTZq[[)oRopiQ[]YzocV:^Z[XacY b
ü V+ dgfXa@izYk [h[]Yj[lX qVhW*[]Vho$f]V%[mVoVXYj[ 7I¦¶´QÎ §¦§¶é[X^ZiWVhWZoV >¦¶´
·
é
R
Y
Q
i
a
Z
T
]
[
X
V
h
f
Z
^

i
ocTo$g_2tYVhWg:Y%é·VXfYRoc[]TZVh[XocqtfXVXV)qra$lTZ[kqtVXî WVhWgYVhfho$TZ[XqVhqtaTN[]`@[]VXYznZ iQaTZ[mVhfX^iVXYj_ocas$Yé*Yµo_g_Niz§a$¦§T¶VX´fhqta$ []÷·VhocqrVX[\YjTg[ a$*V+o$[hTZoVX_ q[]
Õ ÏßÐ Æo$TZ_ ÏßÐ Z
Õ ÏmÐ -o$TZ_ nÏÐm
Ð \ ÆocTZ_ Ï[
Ð \ 2lWgYzfhqY .â áÎhíÎ
Õ Ïj
[]VhoVhë£IY qtWgTYk ocTò rt`2lYl5Y0o$_go$_·_g_'VhWgVhWgY'Y%izVXa$fTocVXTZfha$[Xqt5VXqr[ma$VTZo[kVXYî 5ocTZ_bafµYks$Yzfh`iQoc^Z[XY ¦m¯ Oc]O´0l5Y'o$_Z_·VXWgYiQa$TVhfXa
Õ ÏßÐ ÆocTZ_ ÏßÐ
Õ ÏÐm ÆocTZ_ ÏÐm Aba$fYjo$iW·9¯ O-c3O]·
Õ ba$fYkoiW'izro$^Z[]Y N2¦acbIVXWZY%ba$fhn A ü 0 A X ´Qî
l ÏßÐ 0 ü
l ÏÐm A v
l Ï¥Ð 0 X
â Î
lWgYzfhY 0 7 qr[0+Ì .
'hÎX¶Ñqb A 7 qP[ .
'XgocT_·vÌ .
f 'XÎX¶Ñ5qb A 7 qa[ w.
'h
°
¾

3
Ó
D¾
Ó

½
b½
bÊ
¡
½ ¡
¡
Ê
7
¥
Ö
²Ö

»»¦»

/
R
N
|½

ú
½
¦¸
¦¸
\¸
·
Ó

Ê
T
|Ê
©·
T¸
¸
T¸
\¸
c·
©·
T¸
¸
¸
c·
·
T¸
ô¾

4
¡
Ê
Óü
ñÖ
Ó
3þû)ü¼ý
¦»»»

ò÷
¡¬
ºÖ
÷
÷
¬¯B
º¬
D÷
*\¬¯B
¡¬
¬·
³¬¯¸3·
¬)¸
¬)¸¸
¬·
ù"·
¬)¸
µ
¸
·
·
}¸
¦¸

<¬)B
}÷

/
¬)B ·
³¬)B9¸¼·
¬)B ·
ù
·
5¬)B9¸
¬)B9¸
¬)B9¸¤¸
ù
¸
1÷

1ª
Äª

ª
¸ ·J
O
ba$rra®S lbEl5qtTgY\G_@dgYjW[Xizo$fX[XqrYk[kY:î VXWgY+dgfha$grYznqb I¦¶´ ¦¶´qrTpVXYkfXnp[acbeVXWZY\[XqtnR^grocVXqra$T2ocnGY$VXWZY)o$nGY:WZo$[(VXWZY
¯:VX¤WgY0o`$iQYzaf^gS\TVXiYkWgfaacab [XYk[:¨5[Xa$û+nG´ Yµso$Wgt^ZY0ocizVXo$qra$T'TNqrTZa$iQbfhYkoa[]aY\tYjVXocWZTY0ssoco$fht^Zqro$Y+ga$rYkb>[:VhqrWgTNY0VhiQWgaY^gTbaVXfXYznRfa$^gboNVhWg¦Y%YkTZZiQfa@[m_@VYjdg_
fha@o$iQ[\Yko2[h[5s^Zoc[Xrqt^gTgYRpacá b
o$û:iacVhVhqtaqrizTZY$[k@VhWZ¤oV+o`$¤Yzf\o`$S]S\Yzf£nµS£^Ziz[]o$V+TqrTZTZizacfXV)Yjo$qrTZ[XYiQfhVXYkWZoYA[]Y+so$VhWgt^gYYAsacocb(r^gVXY0WgYpqrT@iQZaTg^gqtVXTYkVXtYk`f+ta$ab(TgWg2q[+ocTdg_'fXa@WZizY0Yk[hnµ[:^ZVh[]a'V)VhYzWgsYGYzT[XVXo$^nAocYArt`soc[]rVX^gaY$d
qtTZizfXYjo$[XqtTZRqtV)ocTZ_'dYzfXba$fhnúocTo$iQVXqra$Tí:a$VXWgYkfXlq[XY%¤(ro`Yzf5S]S5la^g_lqrTE
«g:g¤^@oV2`$Yz¤foSX`$S)YkifµWgS]aSAa[XizYko$[)T[]aiWgnAaYAa[XiQYoc^ZYQ[XYVml5NYzµYkTacbK[]VhVhocWgVXYRYk[ ba$fhnµÎ ^gogz)Î /¤( roVh`WZYzofV2SizWZa$ofh[)fXYja[]Tgdra$`'TZ_òaTgVXYµa*dVXaWg[hY[]qrgiQrocY^Vh[]fhYjo$[µTZ[]a$qtb)VXqrVXa$WZTY
ba$fhnµ^gog7ë£WgY0socr^gYk[£a$b>VhWgYiQa^gTVXYkfh[£ocfhY%TgacV)ü iWocTgYk_2qrTVXWgq[dgWo$[XY$
Z:VX¤WgY+o`$dgYzfhfYzsS:qtiaWZ^Za[anA[]Yja[:saYj´(TgY`2rqVhiYzWgfaocaI[XqtqtTTgRVhWga$YRTgY\izraco$b>^Z[XVXYWgY%o$ iQVX¦qrqta$bTZ¤[£oá`$ÎhYkíf:Î S]KSë£Wo$Wg[)Y+isWZo$at^Z[XYzYkT[5acVhbEWgVhYRWgizY0a$iQTaVX^gfha$TIVXYz[mfV[5oVXocY fhY) Tga$qrT V
iWZocTgYk_qtTVXWZqr[dZWZo$[XY$
³:ë£¤WgoY\`$Yzsf5o$tS]^gS5Y\lacqrbETZVh[£WgacY0VhWgiWgYzfhal[XYzqrT[XY$t qtVXYkfho$q[VXYk[]VXYj_e¤o`$YkfSlqrTZ[5qb>VXWgY+socr^gY+acbEVhWgY\rqtVXYzfoc¥qb[ :E<=>?o$TZ_
npsococr^Z»û:oYkaVh[\qtl¼a÷*TE¤Vh fX^Zo`$Y$TNYk\f0Vhë£WgS%WZYAWZYzTaco$VX[VhWZWgVXYzWgYzf%Y'fhYµWZlocqT[)qtTg_NqrTZTNqtqtb£TgYk*s$÷·Yz[mfhqVh[%`fhocTgiQVXacYzocV0^Z`$[X[Xoc>YµVXqqob\[mV+÷octYjgqo$[µr[]Y$V\[hoVXaVXWZTgq[]YzYT·ocrqgqtVhT*YzrY fYzoc!
s$IYklfX`WZqVhY'WsocizVXro$^ZWgTòocYAVXisqrWga$ocaTNr^gaqY&[X[0Y2:E[]o<=a>nGs?pocYRrqr^ZTiQoocVXVh^WZqta[]YRTYAlVXqtsWZqYzVhocWT V
ocizo$rTtqtiVXWZYkfhao$ar[][Y0loGqVh[]W2VhoVhVhWgY0Y\iQsa$o$fhtfh^gYk!Y [Xd@CaBETZDG_@FHqr?Tgµ[XVhaRaA¤(VXrWgoq`[:YziQfSXocS^WZ[]Yo$ [(VXWZY\lqrTgTgqrTgG[mVhfhocVXYz`RTZal0Ykikoc^Z[XY)qrTdgWo$[XY+«0WZ Y
ë£WgY%dgfhaacb>a$bIrYznGnpoA³ZØ«Rqr[foVhWgYzf[XqtnGqrro$f£VXaAVXWZY0dgfXaa$b>acb7rYznGnpoR³t¯0o$TZ_qr[£aTgt`'[]»YQVhiWZYk_e
}~w=G u5`/ w¡¢-ë£WgY0fXatYj[5acbVhWgY0dgo`$Ykfh[£ocfhY%qtTVhYzfiWZocTgYk_Tgal0
dgqtV)fhYzVXsWë£qroa$WgV+^ZYNik[£o$l£iz[XooY0`[]YWgWZYµal5lYjiza$oc^Z¤(^r_r[]oY%`o$Yz¤tl£fpooS]`$`@S2Yk[£filWZSXSaqtTNaiz[]o$YjT`[ATgqtVXTa$WgiQV:Y*fhiYksWgo$oca[Xrqra^ZTg[XoGY\VhqtVXqtaVWgT YR`pqs[ocqrTZro^gizYµfXtYjqtqrV]o$T@Vh[XtZY*qtTgTgRqtgVXqYkVXVtWZ`Y+nGrsa$a$o$TgfhtYN^g´Y+iQa$ac[]nGab>dgVXo$WgrTgqY0izacoVhizVhWga$Yk^gYz_ f)TVXVXVhYkYjWZf0iocWgT¦TgqYkqrTiz^Zo$Y^ZVXWZ[XqrYY[
^Zo'[XsYko$_et ^ZYµIqtVhfWZ[moVjeV%¤qr[+onR`$Yz^gfVhSqtdZnRtYG^Zac[]V+b([XVXYQWgV)YGVhdgWgfhYAa@_@so$^Zti^ZV%Yµacacb5bKocVhrWgwYR%'iza$ba$^gfGTVh¯IYzf:O Vha OXgqtK eplYzWgTZYza$fh^gY W;. so$Î`t. ^Z Y Î kÎ`Wg.
Yµ1 nRG^Zq[+[mV%oiWg[XYQaV%a[XacY b
ë£aWgaY0tYjococT*nGsY)o$VhfXWgqocYzZTNtYjiz[\a$TqrT*VXqrTVXWg^gYAYk[£ba$ofh[£nµqtT^ZrVXoZWZRY0¤dgfXoYk`$sYkqtf\a^ZSXS:[VhizWgoYz[]YT iWgaa[XYk[\VXWZYAso$t^ZocVXqra$T*ü `*_@YkizfXYjo$[XqtTgVXWgq[%socr^gY$
S®V:izo$TY_@qrsqr_@Yj_qtTVXaAVhWgY%ba$rtalqrTgAdgWZo[]Yj[zî
¯:¤o`$Yzf5S5nµ^Z[]V:[]YzVVXWgY0socr^gY%acbIVXWZYiQa$^ZTVhYzf£VhaG[Xa$nGY%socr^gY$
«gS®TgV£acVjq[gVX¤Yj[moVh`$YkYz_ef£gSXqtSbI¤(lrqroTZ`[kYz f5S[XYQV5VXWgY0so$t^gY\VXaGY+VXWgY%nµ^ZVhqtdgrY0acb>VXWgY%dgfha@_@^ZiQV£a$b %
'Ibaf0q¯ O NO KKS®b
Z:¤o`$Yzf5S]S£iWgaa[XYk[VhWgY0socr^ZoVhqtaT·¦`_@YkizfXYjo$[XqtTZµVhWgY0socr^gY%acbIVXWgYiza$^gTVXYkf´Q
³:¤o`$Yzf5S£iWgaa[XYk[£[]anGY%izro$^Z[XY$
g:¤o`$Yzf5S]S£iWgaa[XYk[£[Xa$nGY%tqtVXYkfho$eqtTVhWZoV)izro$^Z[]Y
Z:së£o$Wgt^Y:osVXocqra$r^gTY:qa$[£b:=Vh<=Wg>Y\?i WZa[XYzTGtqtVXYkfho$Zq[KVhYk[]VXYk_E¤(ro`YzfKSXSIlqrTZ[(q VXWgY\socr^gY:acb¥VhWgY)rqVhYzfocqtTGVhWgY)qtsYzT
WVXgWZYY\ikS®socV\ocTikr^goci!YTWga:Ea<¤Yµ[X>Y\Yk?os7[]oc¤qrrr^Z`'ooc`$iVXYzWgqra$fYjT'iS»$VXWZYkWZo_'oc[V:VhlWZnGoqrTgo$V%Tg»$¤YjqrTg[£oG÷N`$[mYzVhVXffhfhoc^gSXS£VXYYk7WZ$o$ë£`G[)WZqb7lYzT÷qtTgVXqrTZWg[5qtYkTgTgfX'a$Y%V£[mqVh[[hfhoqrocVhTVXqr[]YzYks$o$`YkgfXqtt`2 *YizVhrWgo$YjY0^Ziz[]bocaY0^fX[]ocnRY\V£^gqtrTrYko'oYz[m÷NsVYzqafh[\`RTg[hY0sooctVhqtrqrVX^Z[]Ykocfho$VXo$qrgea$tlTY qWZVhW Y
izo$Të£iWgWZY0aa_@[]YzY0VhocoGqriQ[ocac^b>[]VXY%WglYWgiza$YkfXTZY0[]VXocfhr^ZeirVhqVhqtaYzT'foca$[£b>WZdgofhs$a@Y\iQYjVX[XWg[XY0Yk[£soco$fht^gY%YY a$nG@CBCqtDGV]VXFHYj?Z_e

s¬
¥
º

¬)B
©
÷
5
7
¦»»» T
5÷
<
c2
5
¥
*ü
sý
/
>
ô½
ôÊ
?
J
e
»¦»»
¯
|½
Ê
7
Ë
Ô

Y¥I¿Ä ¿ ¦>Ç

3l
9
¥Ógx:ËXvôQyrxQu | Ö >¦§¶´

\¬
º

¬ B
¦¶´ãÒ>ÓgxzXx >¦§¶´QÎ ¦¶´hxÉUUxÉvmÖ3!#"0ã7|É §ÓZXwÚ
ß
!¬
¬ B
zêRÌx
´(Y0ocTqtT[mVocTZizY\a$b
E
Q
Y
V

¦
÷
h
Î
÷
ü
¦q[\qrTò[hodVha$qr[]r`TZocZa$nGtY¥qro$o$KTZVX_qrnG^ZYj[X´ qrTg'¨5rYzû nGnpdgfho2aiz³Ykt[h¯R[]Yjl[%YAlizqo$VhT
W¹iQ[maVocTZfX[mVµVhfX[m^VioV VhdgYkfh[ a$¨5g@û²r¦§Yz¶n´QdgÎ fha@4)¦iQ¶Yk[X´Q[hqrTgI[XYkG[X[:^ZtYkilWnAqtVXnpVhW·WZoR[moVV ³ZocØfX@«@V+¦§¶[]l5´ VhY+ocVXikYkoc[ T@iQ¦¦¶a$¶´T´0Î [mqVh UfX¦§^Z¶÷ iQ´üV
[X^ZiWû:VhaWZlÆoV l5@YR¦§¶izo$´ TNiQaTZ[m¦§Vh¶fX´5^qti ·V\÷o2 _gqqr[£[ýmTga$acqrTV)V)[h^goTgVhqrqr[]a$TocZa$tbKYVX WgYj[]YdZfXa@iQYj[X[XYk[:lqVhWNTgYzl iza$TVXfha$>[mVoVXYj[ >Î §lWgYzfhY
l5Y%o_g_'VXWgY%Vhfho$TZ[XqVhqtaTZ[zî
ÏßÐ
ÏÐm
Ï¥ßÐ
Ï¥Ðm
l@¦Wg¶Yk´ fXY â ¦§¶´5ZocÎ TZ_ @¦á¶Îh´ íâÈ\Q¦§I¶´ocZTZq§_ Y$_áKqt ·÷í)±)qr[)[+[Xizoco$VXqT[mo$YRgrYkY+o[]o$qrTZt`_i
÷ Wg%Yjiq[»$YkTg_Ea$ZV:qtV\[XocWgVXaq[mr_go$[)gVXrWY$o V I¦¶´ ¦¶´:q ü
§ Ä Ä ¢¨]>VÇ ÓZx:ËXvôQytxzuõ| Ö @¦¶´
¦¶´ãÒ>ÓZxQXx @¦§¶´Î §¦§¶´RXxÉ®c®xQÉ0v]IÖ q#"%ã|É §ÓgcXw$Ú
qt}b ~@w¦§¶qr´ s$YzT é·[mVY+¦§o¶VhfX´QYkYjg[p_@^Z^ZÞ[XiQqtÎ]TgY\à-AVXWZacVhY\Wgb%Y%dg[]afhba$a$nArZtY'atYklVXnfqrTgocTAqtb []$qtIVXYkqr¦Tga$¶YzT ´ foc[]E`@[]izVXa$YzTZ¦n©¶[]VX´fhZ^ZVXiW5Vhoqtl5aVYTEqr[ o_g_¹VhWWgocYNf_N[]Vh¦{oVhVhWgYkYz[afXª7YkÎ«n ª ³oc TZ´_VXVXaRWgVXYWZVhY+fhdZo$TZfXa[]qtgVXtqrYka$nT[
ï
ª ÏßÐÞ= ª ÏßÐàNo$TZ
q[ocrl5o`@[VXfh^gY$ocTZ_ ª _ ª NÏª ßÐ ¥Wgàar_ZVha [Z'a$TgKr`2±)qt[5b7izÞ ocTp(Y)à(Yj o$[Xqtr`RiWZYki»$Yj_e8 ª ª qt Þ à(Ykikoc^Z[XPY ª ª
}~w
§Ö
`û)ü¼ý¯þ.ÿ
ü¼ý
¥
<°
.°B
°
5
¥
Ó

°B
`
¡¬
¬
°
¬
¬ B
ù B

N°
!¬
©©°B
)¬
°
µ° B
¬)B
Ó*¡¬)B
R*© B
z
¯oop¼
¬ B
µ
@
¸ ·
º*©° B
°
TB
B
°

º
c°B
¬)B
}êRÌ(x
êRÌ
7
¡!°B
+B
B
ú*
ëÓQP
L
B
B
B
*
*
@*
íLÉîÓZ£ï`^Ó]a3a|¡ DZ\[T[]VRW*XY(Z\[T]^*_]a@ c©£|Ò^*XÈ3]+É
a¤È¼ZÈ¼]ó¢*£sN_]a3a]a
SUocT2T`2VhWgYjY+^gba$qtsrto$atlYkTZqrTgiQRY%qr[5YQdgVml5fhaYzs$YzYjTò_A¦§VXocWZTZoc_'Vqt_gTYkiQiQr^Zq_@_@qrqrTgTgA´5Ykg^gq[XqrsqtnRo$t^gYkTZrociQVXY\qra$acTbEYkTg^gqVhqrYQsUoc[mrVYzoTZVhizY\Y0dgocfhTZa@_iQYjVX[Xf[Xo$Ykiz[Y+qr[ Yj^gqtWsoco$ft_pYkTZdgiQfhYa$ grYzn¼baf
±-dg±fha$®izdgga$fhrYznGa$n gdgrYzr"YQn VXYq1[ dZZfXq[UaiQgZat®nGYkWZnpdgo$fht[2Yz_µVXocY%qfhbeYNqtocb TiQ²àTZdgqr[][ fhqa$_@ZYk®fXWZtYkYjocn_f_'VhqtT a¹o$TZ_ YN"qtTZâ RWgYzizfho$YzTRTVXr`.YfX []YjYj_@^Z^ZizYzYkT_µVXqVXoca :êqrT.VX` WZY
¬¤®a[]¯YkTZ[XY$5VXWZRocfhVYk_@Vh^ZWgiQYzVXfhqrYa$TEqr[
TgiQaa$TZVA[X»qr_@TgYkafXlYj_GTVXo$aRTlYY+°pvY °2izqtYkizTqtYkVATVjdZo$qfhbIo$qtVr[Yz£VhqtocnGr$Y%aiQfXqta$VXnGWZn dgrYQb¢@aqtfpVm`pocTqr[` dZa$rUìQraa$nGocdgfhtYzqVhVXWgYnGdgqrfhi$a$gqrY$Yz7nq¹b>qV±¸[(VhdZqtnGocfY%ocriQtYka5nAo$dZttYza$¢fhqtqVmVh`GWgnqr[5qrqrT [
WG¦ra$ 7 Íbaf[Xa$nGY:iQaTZ[mVocTV2¦lWgYzfhY qr[VXWgY\[]q zY:a$bEocTpqrTZ[mVocTZizYj´7lWZYzTpa$TZt`Go0da$r`TZa$nGqro$gT^gnµYzf
acacb>b7dgdgfXfha@a$gizYkrYz[hnp[]a[kfh[(bqra$[£f:^Zl[XYkWg_EqiWq Y$[]K^ZilWWgocYkrT$aVhWgfXqtY\VXWZTnG^gnR[£Yz¢@Ykqrf[]Vkac@bqdZ[:fXiza@o$iQtYjrYk[X_[Xa$f[q[5¦û)qtoT qriWG» ±¦ [:iQ7 ´Ko$b[ha[h´Qf []anAY%iQaTZ[]VhocTaV 2¥K±-iQo$[h[
S®gV^@qrVµ[£S®V:o$lfXqqYG[_@»YkTgtTga$`2ValqtTYzTrqrVhYzWZs$KoYj _2V ZVhUWZòiQoaV£ÛnAVhdZWgtY%YzVXqtYGTZizdgt^fhga$[]Zgqra$^@rTYzV:npqrq[5b [0dgocfhfh]a$Ypd izYzo$fjTZg_@ocTq_g_po
VhVXYkW¦[+oq§V£VXY$aVXWgqbYkY2fXY0[X_^Zo$fXi² Y+W*dgdZfhfXa$aggrtYzYk@npnp´5[[zqr[)EVXWZococTYkV:ika$ococd^ZfhY\Yz[XYGTqrT qVµ^gikYkoc[]VXTqra$TE¥Y
dg[XWgfhaa$lgrTGYznpVXWZ[£ocl5Va$qtb ^g_'-² Y0qrT VXWZVXYzWgT YkT2Tga ZUiQanAdZtYz VXY:l5a$^g_GY)qrT KocTZ_pqtboVtYjo$[]V(a$TgY)acb ®iza$nGdgrYQVhY
YkYk^g^gë£qrqrssWgococYrrYzYzTZTZZizizUYkYiQ[aocnATZYQ_dZVmtl5VhYzfhVXYzoYzYkiQTZTY0YkfX[hYjYj[2o$^Zac_@qtbµ`soc_gVXrYkfYzo$iQTqiQiQ_@Y+YqrTgYkocfh^gY0Zqrs»qr[XocTgqtrnGaYzlTZqrrizTo$Y0fXVXqtocVmapTZ` _'acY VXb0fo$ZizTgY0qtVXYkY^g[]VhqrUsoiQocVhaY
rnAYzTZdgdZizfhtYYza@VXiQocYYjTZ[Xª _«[XYkj[®YQl5Vm[Xl5aGoYz[VXYzWZT[XYWgdafXalYj[][hT^Z[]qrgV:qtT²rYQa@ªb«Vh^@%o$VXqt^Zo$TgfXTZYjYj__ [
WgYkfXY%q[TgYzl½a$Tgr`pbafVXWgY%fhYznpocqrTgqrTgGYk^gqrsocrYzTZizYk[£qrTrqrTgYko$f£VXqrnAY gfocTiWgqtTZµVhqtnGY[XdYjiVXfh^gn
dgë£fhWga$Yogë>raA³aYzn ´wdZfXµasdgY fhqa$V:gq[:rWYzoc_@n fYj_@[XqrizTg[µfXYkqr»[h[5TZYjaac_lbKqrT_@TYkVX_@izaqrYQ_gVqtocTgYqrepYjYk®izt^gaa$l)qtnGs´(o$dgtVhrYkYQaGTZVXiQYVXYWg @Y%ldgY0qtfhsa$_@YzgT¹Yjr[XYzizocnúfXTqracqrYTZb7[]oAYkVhocfh^gTYkqr_@iQsY2ô$itçñYkVXTZqra$iQa$TY%bIba$³afhba$´Zn µ¥TgKqt³aVXl5Yz´w®Y2[]µ*VhiQoc¦§aVXiQTZY0qrfh[mdgizVh^gfXfhâ@qtV:iiQVYjs[Xo$Vm[Xtl5Yk^Z[kaY
Zq[:Tgo$qtVXikYziQ®Yz[]dgVhocVXYkVXYR_dgfX`'a@izo$YkT[h[]o$Yjt[a$lfhqqVhVhWNWgnúVhWg_@YRYj[]iQVhq_@o$f]qrTgV\o []Vh³aocVXÝjµ¥[ oc¶ATZoc_ TZ
_ ï ¶voc¶$TZe_ [k vVj¶R oc¶RfhY+ocZTqr_ [XqtnGv¶Gqrroco$fhfY0qbKTgç-acV\qVX[fo$fXY]iQýmYµYkiQYkVXYk^g_Eqr(so$S®tVYkTba$V\rrqtabl:ç [
VXbo$WiQoVkV ³a³a´w´wµ¹µNizq[+o$T¹fXYj_@^ZYiQfhYjYk_N_@^ZVhaizYkVh_òWgYGqrTòdgVhfhWga$gqr[RrYzl£n o`
a$bVha*Tga_@T@YjiQYjq_@^gqtTZqts
o$tacYkb)TZiQo$YT`*Z^@YjV0^ZVXqtWgsYpocrYz_@Tqt ¥iQYzY fhYz TZiz[kYA Vk_@ aYjR[\Û TZac V0npÛ oV]VhYzfj ´¹¦SU± T
VX[XfqtnGo$izqrY%ro$Ykf%VX^gYkqrisWZo$TgtYkqrT^gV£YGqrTa$b£VXWgizY0a$TZa$[]VXVXWgfhYk^Zfki@Vhl£qtTZo$[£Vm^l5[]Yja_dgYfXa@izKYkqt[hTò[]Yjª[z«@¥¯Vh®WZ oVµo$fXYGgq[]qrnGqtocf0qrT·a$TgY2iko$[XYAo$TZ_ocfhYRTga$VYzsYzT
é··\vkYvcyt[mxVoc~fXV£zl|{XqtQVXÊ@W|{\oRqrb[%Yzl-o'_@_@qtYzfhZYkTgiQVXqtVXYjqr_ea$ETZo$[kîizìztqic¥ocYzrtYj_Nfho$dgWEqtT*lWgqriW
VXWgYATga@_@Yj[\a$bqtT_@YzfXYkY zYkfXaocfhY
VXWZYqtTgdZ^@Vh[ko$TZ_GocrgacVhWgYzfKTZa_gYk[o$fXY£acb¥qrTZ_@YzfXYkY)«+ocTZ_GocfhY£ro$YktrYk_GàTgYacb Î TgYTga@_@Y¦lqVhW
¬
Ì
ø
¶ø
NÌ
OÌÙÓÚÛ}Ð
Ì
ø
Ì
zø
Jø
ÍÌÎ¡Ï¡Ð
²ÌÙÓÚÛ}Ð
Ì
bÌ
Ê
ÓÊ
98
Ê
nã¡Ï
<ã¡Ï
§ÌÙÓÚÛ}Ð
Óã¡Ï
ñÌ¯Ù*Ú9ÛzÐ
Nã¡Ï
óÌ¯Ù*Ú9ÛzÐ
ÌÙÓÚÛzÐ
ã¡Ï
©ã¡Ï
©Ì
¨ÌÙÓÚÛ}Ð
Aã\Ï
}Ì
úã¡Ï
*Ì
@ã¡ÏLÌÙÓÚÛzÐ
|Ì
eÌ+ÍÌÎ¡Ï¡Ð
"Ë
f
Ì

úÌ
¡¬
ú°
5¬
©¬
L°
O°
@
``
<8
(

¥
a$a$^gTVhoA_@Yk$ocfhVXYzY9Y ¸¥zYkgfXqtab>ÍVhWgqr[YzfhVXY0WgY)q[:a$oc^@TVhdgYk^@_gV($TgY+a@b_@fXaYnKë£¸WgY:VXaITg.a@_@5Yj±-[(ocfhocY:VXY%izo$rto$rYk_GYktro$Ykr_[XaµlqtcVX®W xQÉ7é*a$f Y+[XoiQ`0anGVhWZdgo^@V5VXo0Yj[qtocVhVX[YPs.'ocr_g^gYzY%dbYzfhTZa$_gn [
sococfhY%r^gYka[)aa$tTYjocTosVXYjo$[:t^ZqtYkV\[k_@gYk_@dYzYkTgTZa$_gVXYj[\_a$TEo[£^Z¶p[XocqtTgTZ_*¯%aqta$TrYkVXo$WZTY%bb^ga$TZrtiQaVXlqra$qrTgTZqr TZ_@qizoVhYk_qrTN qtVh[)r o$Yk§)ë£WZYsocr^gYk[)a$TocVXYj[
ë£WgY³a´µ'dgfha$grYznúqr[:_gYQZTgYj_o$[5ba$rral:[zî
+±-aa$rYkocTiQqrfiQ^gqtV)ocTZ_ocTo[X[XqtTgnGYzTV£acb7aa$rYko$T'so$t^gYj[5VXaGqtVh[qrTgdg^@V\oVhYk[k
\Sm[aTVhWgY0a$^gVXdg^@V:oVhY\VhWgY0socr^gYG¯jð
VXqrTWZY:TZé·a$ac^@V:YRVhocdgnp^@[]oapV5ò$obT'^gVhY:fXqrTgVXocWgdgTZYk^@_Gf%V\oqtb#[Xo[X.
Vh^g'>Y$nGK_@YRYzë£dWgVXYzWZY%Toc_gdgV\[fha$VhaWggTIYGrYz. ¹n oVh³aVXYkWg[ Ýkµ/T . [mNü Vh`Îqtehr.E$cZfhÎ Yz7npé·Qoc`ÎY:qr.TZnp1[ Ao`R®o$izofXa$YA[XnG[Xa$^gdgfnG_@rYQY:YzVXfhY0l0Yk_^Z §TZ qraZT_@ YzZ[]f£>^ZVhVXiWgWZW*Ykoc[XVoYVXl£o$WZ[hoY:[X`$^ga$^@nGVXVhWd@dgoVX^@qV qrV5a$. TZü[ko VhqrY[
VXWZY%EVm`YzV\dYk^Z[:[\ac_@bYQVhWgTgY0YµVhocWgVXYYj[zbî^ZTZiVhqtaT )î Ð Î ÎX¶ZÎz¯ ZlWZYzfhY ¯$Îh«gÎ Î ZVhWZoV+qr[\^Z[XYk_Vha'_@YkTgacVhY
llqqVhVhWW
qtqtb>b>VhVhWgWgY0Y0ococVXVXqYYq.. '' qq[[ococYzYzrrttYjYj_

_
¼
Q¦ m´ º» ¶ qtb>VhWgY0ocVXqY . ' q[:o$T'qrTgdg^@V\oVhY\ lqtVXWVhWgY0socr^gY¶
»½ ¯ qtb>VhWgY0ocVXqY .
'7q[:o$T'qrTgdg^@V\oVhY\lqtVXWVhWgY0socr^gYp¯
qrTgocdgVX^@Y ± V:.
d':oco_gVXqrf\YYzda$VXYzb)WgTZ¦Yk_gdZT[%o$f]saVho$T*qrto$^Z´Yko[Vhb^gYka$![TZb i. Vh qta¦ mocTZ´TZ[Î ¾_ ü .¦ Îm7 ´E o$lfXî Y%WgYz^gÐfhTY _@q'YQZe|qrTZ[\Ykc-^Z_e[X eYk_N2VXaVhWgYzYz¢@T dgfXYjü [X¦ [\m´ _@¿YzdcYzTo$_@TZYz_TZizYR ¦ mYQ´ Vml5YzYk2¥TNGS®ibocVX.Yj'£[z\qr[0S®b(o$To
£
ë
g
W
0
Y

b
Z
^
Z
T

i
h
V
t
q
a
T
o
Àî pÐ j¶gü Îk¯ 0q[:^Z[XYk_Vha_@YzTZacVXYVXWgYµoiVh^Zoc>so$t^ZYk[aToVhYk[kZq Y£ À¦ U´:qr[:VXWgYµso$t^ZY
a$T'VXWZY0oVhqY . '
ë£ë£WgWgY0Yé·dg[XYYQfhVa@liQacqtYjbKr[X>o$[5iziQla$VXqrTZqta$VX[]TZWVXfh[£VX^Za$WgiQbYRV)Zñ[moGVocVXlffXqtocVrTZE[][XVhqtocVXY VXqra$Y jT¶gÎk¶ []¯$`@Î¦[]fXÁ VXYjYk[]n d _@Yk¶ Tg´5aclVhYkqrr_ EZ'Y¥ikococTZr_tYj_'¶ VXÎ WgY0¶ dglfhqra@t>iQYj[XY0[ Vml5¶ a2¦fX_@Yjqt[] dYk7fXYkVXTWgV\Y0[mdgVfhoa@VhiQYkYj[:[Xa$[ bb ¶Z´
áQ¦ ü má ´ ë£ ¸WgYNX¶Eá [Xa1
Ykfl^gQYkWg¦ mTZYz´ iQfhYGYj[pYko$ac¯ib>W·Vho$WgiQEá YzVX'qrT¹a$iQTZa$áE[kfh')5fhYknµVX[XWZd^Zoca[]V'VRTZ_giQ[)aYp^gVXVXa_WZYVXWgsY
Ypocrsd^go$YzY2tfX^gbaa$YGTfhanGVXT
YkWg_ VhY2WgqrYpTg`dg^gocVXVAacY VhW.
o'XVXdgAYfX>S®a@£bqiz Y$Yk.
N[h'£[]YjáEq[0[z' 5oclT·qtQqrrTg)¦ mdg´%^@Y
qtVb a$Qb\o¦ mVXVh´ YWgE¸Yq bY¶aAfXan qtfb
Qa$¦f0m´ ¯ ¯\S®Nb .'5qr[)VXWgYRa$^@Vhdg^@V%ocVXY$VXWZYzT*Eá 'nµ^Z[]V\Y¯$q§ Y$%á ü ¯$+SUT
ocrIacVXWZYzf%izo$[XYk[\Eá 'npo`YA¶
oqt$b5iQVXVhqrWgë£a$Y2oT WgY[XÁYk_@oqt^g ¥b{VhYzYzYzTfhfiQYzYpVhTZWZizqoY[ V:][XlYzYkVmfhla$^gYkTgYzYzTTiQY$VXqrZWZTgYVX^@dgWZVfhY2aVXWZiz[]YkYkY0TZ[hdg[][]YjYGfX[ a@VhizWZYk¶µo[h[Vo$TZlqtVR¶_ _@izvo$a¶T'Yjq[0[dTgVhYzWZacfXbVµoa$V)fhizn VXa$WgfhfXYVXYjWZdZ[]YdfXa@a$o$iQTiYjVh_Nqt[Xa[ VhxT a
¶µÁVXWgizocY2o$b{VXToYkfiocVXrVX^l5WgocoY0`@[X[£sYkocdr^g^gYzfXYkYjbTZ[0a$iQfha$Y%nñT·a$VXVXTZWZWZt` YY
ocVXYjë£[zWg Y+[]Yj^ZYzTZizY\q[iza$TZ[Xq_@YzfhYk_GVhaRYAÒKXv~pqtbqViQaTVhocqrTZ[5[]anGY)lfha$TgAo$iVhqtaTá ' ¦lWgYkfXYR9¯ O NO ´
ë£ocTWg_LY%2 o$iQVXqra$vT$¦ á U´Q' gqra$[+f ÒKQX¦ vcm~´ GqtbIá oc' TZ_'¯+aco$VXTZW_2áHYk$qVhÎXWgá Yzf ocQfh¦ Y0m´ ¶g o$TZ_2oV£rYko$[]V£a$TgY\acb>Há $ÎXá 7 qr[£¶glWgYkfX£Y c ü ¦ m´
7
·
é
£
Y
k
i
c
o
r

X
V
g
W
:
Y
o

i
X
V
r
q
$
a
A
T
á
' hÓZxhc§|{~qtbeá ' ¯$$g^@V À¦ m´ ¶ZI±\[KizocTRYYjo$[Xqtr`iWgYji»$Yk_Eqb¥á ' q[KiWgYjoVXqrTg
VXo$WZiQVXYzqrTa$TEYzqtVXVXWZWZYzYzf\T2á qt' V5qnR[:^Zl[]fhVa$TZY)Zglafhf)a$TgoV)$rYkoYk[mizV:o$^ZaTg[XY Y0bacbe_Há c$ÎAÎX2pá 7 o$TZq[:_GiVXWgWZYjY\oo$VXqriQTgVXqra$£TZ©[(aVXWqboV5opiz[Xa$YkfhfX^gYjYz[]TdiQa$YµT_µiza$VhTaVhVho$WgqtTZY)[qrTgodgi^@WgV£YkocVXocqrVXTgYj [
izo$T'û:TZa$acVXV:qiQYY7iVXWgWZYkococVRVXqrqtbTgZÀ ¦]¯j´ ¯*¦q§ Y$·qtb:VXWgYkfXY'qr[µVXWZYsocr^gY·¯2a$TòVhWgYa$^@Vhdg^@VGoVhYj´Q7VXWgYkToVGtYjo$[]Vµa$TZY
VX[XWZYkYz^gTYzYzTsiQYzYfh`2VhWZ[]oYjV+^Zqr[+YzTZTgiza$Y0V\qrl[£fhla$fhTga$TgYQ¢@ qr[]Vh[A¦{VhWgYAa$TgYRlWgYzfhYµáE' ¿À¥¦ m´ba$f+Yko$iW¯O aO ´QeocTZ_
qbNÀ¥¦m¯´ ¶g
ë£WgY0[XYQV:acb7[mVoVhYk[a$bVXWZY%VXfocTZ[XqVhqtaT[X`@[mVhYzÂn ZñlqtrEY%VXWgY0^ZTgqtaTacbVhWgY%ba$rralqtTgp[XYQV[zî
Õ ' c¶ O bO
Õ ' c¶ O bO
Õ /' bO_cIe ¦ U´ %ba$fYkoiW*9¯ O bO Kg[]^iW'VhWZoV Q¦ U´
Õ /' bO_cIe ü ¦ U´ ocTZ_ ' iO-cIe ¦ m´ 0bafYko$iW*9¯ O bO KZ[X^ZiW'VXWZocV Q¦ m´
¯j¶
N8
ý¤ü
ý
<
¦»»¦»

e½
Ì
Ö
4
s¸

"
<¸D

»¦»» TÊ
½ ¡
2
c2
¸
±¸
=½
(2
¼¸

½
c2
²2
½
n2
½ `
½

½
5¬
R¬
=
.°
¡°
(¬
R°
+
»¦»»
½ <
1 ½ <
`H ½
½ Ó
Ó ½ <

¬
O°
¬
º°
L>
?
|½

Ç¨2
½
º ½ ©
Ê
¨2
N ½ ¡

½ ©
*½
=
!
.¬ ¡
½
|Ê
°
½
|Ê

½
2
½
¦

½
2
½
|½
¦B

½
Ê
2
½
§½
¨Ê
Ó
N ½ !
½
|½
|Ê
Ó ½ ¡
½
Q¦Vc´

CvÃ
vÃ
¬
°
ü
Ï¶¶ Ð ü C
ÏÐ ü
ü
Ï¶¶ Ð ü G
Ï¥Ð ü
¬
³¬
µ°
¶
³¬
µ°
¯
ÏüÐ
ÏüÐ
ÏüÐ
ÏüÐ
Ï¶¶Ð C
ÏÐ
G

³¬
µ°
µ°
S®b Q¦ m´ î ¶
ÏÐ ¶ ü ' Ï¶Ð ¶ '
' vÃ ü qtb ie_c3e ü ¦ m´
'
qtbc ü ¦ m´
Ï Ð
Ï¶ Ð
¶
ü
Ï¥Ð ¶ ' ÏÐ ¶ Ä'
Ä'
' vÃ ü qtb ie_c3e ¦ m´
qtbc v¦ m´
ÏÐ G
ÏÐ C
S®b Q¦ m´ î ¶

¶
ü
ü ;' Ï¶Ð /' ÏüÐ /'
/' vÃ ü qtb ie_c3e ü ¦ m´
¥
Ï
Ð
/'
Ï
Ð
a$f ü ¦ m´e_c3e ¦ m´ ¶
qtbc ü ¦ m´
Ï¥Ð ¶ ' Ï¶Ð ¶ ' Ï¶Ð ¶ '
qtbc ¦ m´
ÏÐ
ÏÐ
ÏÐ
¨anGnAaTEî
ü
o$T`'[mVoVXY+bfha$n VhWgY[XYQV
ÏÐ g
Ï¥üÐ
ÏüÐ
vÃ ü Î vÃ ü Î /' vÃ ü Î ' vÃ ü
ÏüÐ 0 ÏüÐ A
Ï¥Ðü A
ëIocgrYG¯$îë£WgY+Vhfho$TZ[]qtVXqra$T[£acbIVXWgY%Vhfho$TZ[]qtVXqra$T[]`@[]VXYknÅZ
brYza$s$f:Yké·[Xa$cpnGYqt[XY b7oÞ¹`GgVhqroc[ WZToG_V:$Vh VhWZWgo$YV: []qtVhV:' o 0qVh[Y0a$a$f Þ¹T'qVX[£Wga$Y bTa$kf:VX®rWg[Xqta$TgY nGYZgY qtrb7qrTgÞ Y$gqtbK;Þ ' ba$
f:'I[Xba$a$nGf\[]Y anAÎ)cY Ké·VXYµWo[XV)o`GqtV:VhqrWZ[£oaVTVhWgVXYµWgY []Vhjoc®VXtqrY0TgÞòYgqq[bKa$Þ TVXWZlY '
'
£
ë
g
W
+
Y
X
V

f
c
o

T
]
[
t
q
X
V
r
q
$
a
Z
T
5
[
$
a
b Zño$fXY%_@Yj[XizfXqrYj_qrT'VXWgY%VocgrYG¯$K±:reVXfocT[]qtVXqra$TZ[£o$fXY+acbIVXWgY+bafXnúÞ vÃ ü Ï Ð à
lë£WgWgY+YkfXfXYal:¯[ORqrTc¾VhOWgY)KVocgÞ rvY0Ã iQü afXq[0fhYko'[Xd[]aVhTZocVX_AYGVXa$aRT
VXWZVXY%WgYG_gqr ¥Yzs$YzfhYkYz TcAV£Ï1da¯$[Xe[Xqtà Z tY+q[0soco'r^g[]YkVh[5ocVXacYGbIa$Þ T
vÃ VXWgYGVhWgrYzY0sYziQa$rc^gnGocTTZ{_ [£iQ. afXâ fhYkj[X¶ZdÎza$¯ TZ_
VXa2VXWgYµ_gq ¥YzfhYzTV)socr^gYj[acb QV¦ c´)ocTZ_'VXWZY0ZYz_g[)qtTVhWgY¶VocgrYocfhY0acb7VXWZY0ba$fhn ü Ï¥ÐºGà $£©anGY0Z¶ Yz_g[)nGo`
iQaTVhocqrTnGa$fhYGVXWZo$Tòa$TgYGVhfho$TZ[]qtVXqra$T'ë£WgY2TZacVhocVXqra$T ÏÐ ü à []Vho$TZ_g[ba$f0Vml5aVXfocTZ[XqtVXqra$TZ[p¦ ÏÐ à o$TZ_
ÏüÐ ë£à Wg Yk´fXY\ë£qr[WgY0a$Tgo$Y\[]YQV¢gfXiQaYklêd@VXqtqrTa$T2VXWZVXY%aRVhVXocWgZY\tYVXfizoca$TZT[XVhqtVXo$qrqta$TZTZ[[Vh_@fho$Yk[hTZiQ[]fhqtVXqtqra$YkT_2[5qtTVXWZVXocWgV)Y\ocVhfho$Y\gdtYaîK[h[]û:qrgarY0Vhfhqto$TTZo$[XqTVh`2qtaÞTZ[(vÃ ocü YzrrYk_plqtVXW¶
ocfhY%da[X[XqrgtY%qrTVXWgY[]VhocVXYk[ ¶ocTZ_ v¶
ë£WgYkfXY%q[£a$TgY+VXfocT[]qtVXqra$TTgacV:nGYkTVhqtaTgYk_'qrT'VhWgY%Vho$grY VXWgY%Vhfho$TZ[]qtVXqra$T 1ÇÏÆÐ 1¥
ë£WgY0iQaTZ[]VXfh^ZiVhqtaTikocTY_@Yj[XizfXqrYk_qtTgba$fhnGo$tr`2o$[5batral:[kî
Õ é*iQqrfhYiz^g[]VhqVo$f]lV:WglYkfXqtVXY WVhWgY ZgC ®t.
qrTgÈ0Yo$o$TZTZL_ _ .
jÉ0rocqtfhTZY%Y$qtTZ±)dgT^@V:YQ¢gococVXnGYj[dgrocY0TZac_'bIsVXocWZrqr^g[\YkiQ[£a$aTLT [mVh.fX^ZÈ0iQocVXqrTZa$_ T.
qr[:ÉµqtocTfhY+VhWg¶pY%o$ZTZ$_
^ZfX¯Y Abaf:o
Õ gë£a$Wgf%qr[ Yks$kYz®rfhqt`TgY'ocizVXocY T. ' Y2>[X^Z^Z[XiYkW*_*VXbWZa$ocfV VXYkQ[]¦ mVX´qrTg> lWglYzYpVXWgo$Yk_Zf0_
VXWZaYTgY o$iQkVX®qrra$qtTgTòYpá qr'Tqro'[ll£fXoa`NTg_@ZYk2dgS®qrb£iQVXqtYjVµ_
qr[RqrT·[]aVXEWgYAVhWgZqr[ ^gkfX®YArqtTg³ZY
ocrtal:[VXWZY0dgfXa@izYk[h[ ¶ VXapfhYkoiW2VXWZY[Xo$nAY0[]VhocVXY0o$[£dgfha@iQYj[X[ ¶
Õ gë£a$Wgf\Yk[XYzY sYzkfh®`'rqtTgYjo[:VXY izo$.
T''Xe[]Y0^Z^ZiWN[XYkVX_'WZboca$V f£QVh¦ YkU[]´ VXqrTgZ Zll5WgYRYQo$VhWg_ZYz_fVmVhlWga Yjo$iQrVXqtqrTZa$YkT[+áEqtT*'7qro2[l£lofha$`TZ_@ZYk7dgS®qbIiVXqtV:Yj_Nq[:qrTN[]aVhWgVXYµWgq[ $j^g®fhtqrY TgYk@[
ocrtalVhWgY0dgfha@iQYk[h[ v¶%VhapfXYjo$iW2VhWgY[hocnGY0[mVoVXYo[£dgfhaizYk[h[ ¶$
Õ VXëaGa%l[mVWgoqVhiYkW[I[Xa$^ZTRiW'VXWgVXY fZocTZr[XqtTZqtVXY5qra$o$TZTZ[_bfhVha$a+nñ[]VhocVhWgVXYjY[7[]a$VhToVhjYk®[£tqraTgTYj[7VhlWgY Yjo$_Zr_0qrTgVXY0focYQ¢@Tq[][mqtVVXqra$a$TZT'[IVXWZocYYz[Xro$tnAYj_µY%lrYzqtVXsWYz¯ VXa0ocr@[mVoVXYj[z
Ï¥¶ Ð ¶ ü '
¶ÏÏÐ ü Ð Ä'
Ï¶Ð C
½ ¡

(½
|2
5h2
B
½
ù
½
(½
|2
5h2
½
½
ù
ù
¬
³¬
³¬
ùB
ùB
ùB
¬
³¬
³¬
ù
ù
µ
ùB
½ ¡

(½
|2
Ó2
.¬
ù
|2
5h2
½
5h2
½
.°
½
½
ù
.
TB
µ
½

ù
ù
¬
³¬
³¬
µ°
µ°
ù
µ°
ù
ù B
N¬
J½
n@¬
<
¬
°
s
½
²b
NB
1°
n¨°
½
½
Ê

\
¬
z°

N¬
5¬
O°
³¬
17
Ê4hÔ
/
½
=
1
1
º°
/
¬
½ Ó
}
Ë

N
R°
¬
(¬
<
1°
¯¯
Ê8Ë
1
ÌË
1
þ
Ê
Ìþ
0,1
ÊHÍ
0,1
Ê8Î
0,1
Ê8Ï
0
Ê¤Ð
1
ÊHÑ
0,1
ÌÍ
0,1
ÌÎ
0,1
ÌÏ
0
ÌÐ
1
ÌÑ
h
Iqt^gfhY ZîK±:TYQ¢gocnGdgrY%acbIVXWgY[]Vho$f]Va$b>VhWgYiQaTZ[mVhfX^iVXqra$T'acbIVXWgY%Vhfho$TZ[XqVhqtaT[X`@[mVhYznÂZ
/
7
ÌË
þ
Ì`ÔÖÕ
0,1
Ì)×gÕ
Ì`Ô
1
Ø0ÔÙ Ô

.'
ØAÔÖÙ ×gÕ
þ
þ
0,1
ÌÓÕ
þ
0,1
Ø0ÔÙ ×
0
Ø ÔÖÙ Ó Õ
Ø)×0Ù ×
0
ØÓ Ù Ó
Iqt^gfXY%³î7ë£WZYiQa$T[mVhfX^ZiQVXqra$T'ba$f:oAocVXY%ocYzrtYj_'lqtVXW
Ì`Ë
Ì0ÔÖÕ
þ
0,1
1
1
.'
Ì)×gÕ þ Ì)×
Ø0ÔÙ ×gÕ þ
0,1
`Ì Ô
ØAÔÖÙ Ô
ØAÔÖÚ Ù Ô
Ì0Ó Õ
ÊÒ
ÌAÓ
ÌÒ
h
þ
0,1
þ
Ø ÔÖÚ Ù Ó Õ
1
.7
0
ÊË
Ø)×0Ù ×
1
ØÓ Ù Ó
0
Ê/×
Iqt^gfXY gî7ë£WZYiQa$T[mVhfX^ZiQVXqra$T'ba$f:oAocVXY%ocYzrtYj_'lqtVXW
/
ÊHÓ

/
.
þ
1
ÊË

Ì`Ò
ÌÓ
1
.7
.C
Ì)×
1Ë
¯«

ÊÓ
Ê8Ò
h
(¿
X$xÖXvu ÖÇ {Û ÓZx0PÖ ÉUÀ¥¦mU¯jx ´ l"¶Ú ¯cã(Ógxz~·{ÓZxQXxR|ÉR§h$x5ÖXvuõÓgxµÉ®c®x ¶$ã(Óg:~·~vc:ôhxRupUhÓZxw'ô c~
dg}fh~a@wiQEYkYz[hV:[ ^Z[:¶ ë£K[X^gS®WgV:dgYGdqr[:Vhafh[XizoY%tiQYjYpVXocWZf5á ocVXü V:WáEVXo WZVqr[:VXWZXVXá Yf1 o$[]ÁiQYjY0^ZlikYzocWgTZTYkizfXY%YpYRá á üoc' á=[] apdÀ¥hYz¦ ámfX´\b1 a$bfhqa$[£nGf0TgYkYjac_'o$V:iWl`'fh¯VXa$WZTZO Y0Z dg9fXOa@izYkK[h>[ ikvoc¶T 5YpYkikdocYz^ZfX[XbY%a$fhVXnGWgY&Yk_*Á
o$`NiQVXVXqra$WZT Y
iz[]Vho$oT
VhYµYRaTdYzVXWgfXbY a$fhjnG®tYkqrTg_
Yµa$aTgTgr`r`'qtVhT
WgVXfhWga$^gYp[]WNVhoc[]VXaY nA
Y 1¥EjocrTqtTZ_NYµVhYkWZizoo$V%^ZYz[XTZYA[Xo'^gfh[mYkV[:oVXVXYAWZoca$V\T
VhVXWgWgYRY [XZYkr^gqtTZYkYRTZiQizYAo$T
á á YG fXYjXo$Eá i1WgYjqr_[\lbfXfhaa$n Tgo
ü
VXWZY[]Yj^ZYzTZizY+nR^Z[]V:Y0lfha$Tgg^@VVXWZqr[q[:oGiQaTVXfo$_@qiVhqtaTE

3l@lp
R
{
!¬
v
v
Ó°
\»»¦»

(¬
½
½
ñÊ
¡»»»
Ö
Ó°
¬
=°
!0
¬

»»¦»
(¿
ÇÄÜ Ö£À¦]¯j´ 1¶@ãÓgxz~NÓgxÉUUxQÉ ¶'~¥w l¶cXxRôz|É|{uR|{yrzÚ
} ~w½é*Y%lqrtE_gYk[hiQfhqtY+VXWgY%dgfhaacbqrTVXYzfhnp[5acbVhWgY0gq[]qrnµ^ZrocVXqra$TocnGY$Kû)acVXqiQYVXWZocVqtTVXWZqr[£ocnGY
3l@lp
©
{
¬
<°
racocYzbEfhs$YoYkiVX¶Zacqra$$VhTWVhWg[zdgYzT2VXfhWZa@ociQa%YjV5[XVXik[XaAocYkTp[µ[mVqtoTY)VXYjYzd[s$YzaYkfXfXTGb`·a$VXfhWgnAnGY\Yjat_es$YkY2$s$qYz[(qr>T¹VX¯$WgVh$Y+WgVXYWg[Xo$Yk[mT2nAVoY:a$VXTpYjba$[µVhfWgao$Y:T¹trYzVh[msWgVYzYoVh[hYk«oc[ocnGaTZTGY'_2VXt[XYkWgas$Y+Yza[XTEo$InGë£û)Y:WgactYzYkVh`òqrs$izYkY\[]=VhoccocfX[X¦VRaZlcqrWgTVhYkWZfX[]oY\VhV(oc¶VXVXWgYjO-[µY)cIVXaWgT¹e Y+VX[]WZYzÝV
ocT_2EVhYzWgVqr[)^Z[7[]YzZV)f[]_@V(Yzd[]^gYzdZTZd_Za[[]a$Y£TgVhrWZ`2oaV(T ¤(Qro¦ c!`Yzp1f7S>¯j´Q^ []Yj[Ka$Tgr`Vhfho$TZ[XqVhqtaTZ[7a$TAVXWZY g®tqrTgY$q§ Y$IVhfho$TZ[]qtVXqra$T[7acbVXWgY£bafXn
CvÃ ü Ïß Ð Ý C$pë£WgY2[XYk^gYzTiQYpá ü Eá Xá 1 nR^Z[]VYplfha$TgeYjizo$^Z[]Ypá ü ¸¯Gqr[iWZYkoVhqtTZo$TZ_¤o`$Yzf+S
izo$T'ë£TZWgacYV:ldgqtoTg`TZqtáTgü%1[]VXf¶oVX¦YkVX$Wg`\YkfXbY%a$f7q[¤Tgoap`$[]Yk^fEiS]WSikVhocfho$TTZ[]Y£qtVXqr_@a$YkT[híQfhqtYk_Ro$[ba$rtal:[kîeéWgYkTgYzsYzf7¤o`$YzfSE^Z[XYk[IiWgYkocVXqrTg
o$Eá iQ'VXl£qra$o$Tp[Eá l'fh¦a$Eá TZ' N¦oc¯:Tqr_TRVXVhWgWgYkq[(TNiz`$oa[]Y^Nízoc^ZT[]Y£fhVhYkfhoo$iTZW[XqVXVhWgqtaYµTR[hocVha%nGVXYµWgY\[]VhiQoca$VXYµfhfhoYk[X[dVhaWgTZY_@dgqrTgfha@iQkYk®[hrqt[ Tg
Y\¶joc´TZa_Rf)VXoWZV+YzT2tYjo$[XWg[]V:al¹a$TgVhYµWZoacV(b(Yká q VhÎXWgá Yzf
¦¦lS®b WZQYz¦ fhUÝc iüWZ¦ ama´[]o$Y%TZ_{YQVm2 l5YzYkT' Vm¦ l5U´Xa ´jnRr^ZqrTg[mV+Yk[:YAVXWgiYWgaYkocTgVXY%qrTgVXWoo$V)TZ[X_Wga`$l:a^N[£VXizWocoTV)Êá []'KY0qVh[:WglYRfh[ha$ocTgnGGYµa$f:[]VXVXfWZoVhocYzV:nµ`2^ZVX[]aV\[]iQWZaaTlÆVhocqtqrVkT7
oGiWg±)Ykoc[AVXizqrTgo$pT¹ o$iQYVXqra$YkoTE[]Ø´qrrìVXWZWgYkYkifX»$lYjq_e[]YIVX»$WgYzqYk[Gd[mVha$fhT'ocVXVXYkWg$Y0`*rqto$TZtY0l£ol`@Wg[µYzfho$Y%tra`$l:a$^[µoc¤(fhrY$o `YzfSXS%VXa[]Wgal0IVhWZoVRVXWgYkfXY'qr[G[Xa$nGY
ldYzfhfXa$bTga$fhnAoYji_VhqtaT*Èá ¤('mrEo[XàYzf£WgSYG izo$TNfhYko$iWN[Xa$nGYA[mVoVXYAa$TNVXWgY g®rqtTgYeocTZ_VhWgYzT·WgYA[]qrnGdgt`nGqrnGqrik[+o$tInGas$Yj[
VXWoV)û:EYz¤aVl o^Z`$[5l5Yk[XY2f^gS5iQdga$qd[£Ta[]qt[XTqY:_@bYzVXo$fWiQoVXVV5WgbY2¤(a$friQoYzYj`Tg_2YzYkfVhfhSaAo$_g^Yziz[]soY%[]qrocVhYfhVX>Yjo$l[KTZ[]WgbfhqtYkVXa$fXqrn¼a$Y2T¤([£dgra$ooT'``YzqrVXTgf0WgYS0aZizTpo$rTVXqtTZWZdY$Y YkZf]braqtTZfXn Y:^Zoc[XTqtTg`NAVh[]fhao$nGTZ[]Y:qtVXVXqrfa$ocTTI[]o$qtVXTZqra$_TplocY2[XYzWgrtaYjl _
llqtqtVXVXW'WHá¶g$KVhWgS®b>Y0Há dg o`$Yz¶Zf[5Vha$WgTgYzrT`2_@qrT^gVXY+YzfVXiWZWZY)o$bTgo$iY\V5VXVXWgWZYkocqtV5fqrfhTa$rYkYks$[£YzfhqrT`GVX[mWgVoq[VXY+nGq[as$dY%aoc[h[XTqt_2grVhY\WgocY0V5fXnGYj[]a^Z[mV5Va$q[TgY\YQ¢gVXo$fociQVXTZr[X`pqtVXVXqrWZa$T2Y[Xoco$nAYzY0rtYjo_ [
qtb7¤(©roa0`[XYz^gf5dgSdWZao[X[£Y£Tgá acV)_gYz¯sqrS®ocbeVX¤Yj_2ob`$fhYka$fInñS>^ZdZ[XroYk`[Kqro\TgGVXfa$ocT'TZ[XVXqtWgVXqrY a$TRZVXraqtTZ[XY$a$ nGY£acb ;' a$f qtTGaTgY£acbVXWgYdgfha@iQYj[X[XYk[k
VXdgWZfhYza@T'iQYkVX[hWg[XYkY+[£npocofhY%VhiqtWZTqtTgVXµWZYVXf[Xoco$TZnA[XqtY0VXqr[]a$VhT2ocVXVhY0aµocVhTZWg_Y%[X¤o$nAo`$Y+Ykf£[mVS]oS5VhY\lYzqtTZ¢[kq[] Vh[5qtTVXWgY%a$VXWgYkfdgfha@iQYj[X' [k [XaGob{VXYkf(VhWgY%nGas$Y)acVhW
ë£WgY£a$TZt`fhYznpo$qtTgqrTg0izo[]Y£q[IVXWgY:[XqtVX^ZocVXqra$TElWgYzTG¤o`$YkfIS>^Z[XYk[7VhWgY£VXfocTZ[XqtVXqra$T ' vÃ ü ÏÐü ' 0¦fXYj[]dE
ü
ü
nG' avs$Ã Y+ü qr[)ÏÐ oco$qt' T' ´+YQ¢gqto$T·iQVXVhrWg`pY2VXdgWZfhYa@[XiQo$YknA[h[ Yg¶ o$2[£ë£qtb7Wg¤(YzrT¹o`¤(Yzrf£oS(`YzWf+o$S][£S+Tgdga$V)o`_@[ YzsGqvoÃ VXYjü _2ÏbÐ fha$n¸GGdgo$oTZ`_*qrTgVXAWgY2a$T[XqVXVhWZ^ZY oVhgqta®tTòqrTgoY$b{ VXYkf0VXWZ Y
Y¥I¿Ä ¿ ¦>ÄÇ ÞàßRxz|w|{~RxózÊ@|{cytxQ~¥x+v]Öe~|{®x ®É®c®x7ËXvjxÉÉzxÉ|É §ÓgcXw5Ë¥Xv$ôzytxzuÖQv)~ µxóQÊ@|{ytxz~x
ôxQÒ(xxQ~·ôQ|É|{uAÊ@yt|v~òxóQÊ@|{ytxz~xG~¥wpX$xAxóQÊ@|{ytxz~xjÚ
fh}Yz~npwë£ocqrWgTZY[5 ocVXapr$ë£a$[XWgWgfhYqtaVXl1WgiQnaVhfXWZfhdoYkVYkiQVXf]VhTgbWgaYjfXq[X[:nG[0iQqra$aTgb£TZN[mVXVhWgVhfXWgY^Yi_@VXiQYkqra$a$[hTiQTfh[mqtVhizfXo$Yk^ZT_iQVXqriQa$Ya$TòTo$[mifhVhWZYkfXqt^ZYk^giQs$qrVXYkfXqr_Yja$[T·qtT_abTga$¬¤rt®arà¯ l:Z[0¢Yjb_òfha$Tn ¥^g nµtYknAYznpfAoac[µb\³so$ fXqoco$ZTZt_Yj[0³ZVX ga·K[m[XVhaNa$fhqtYV
VX[X¦WZo$a$TZnGYµ_Y%rYzocs$qtTZYk[]_g a YQ¢@ZYkVh= [kWgc @YµdaaTgqtTr`VhYz¦ qrfT@[´b
a$oc2fhTZnp_'osVXocqra$r ^gT¦ Yk[kfhÝk gQ^ga$¦ qrffh´QYkYz_¢gQocqrV¦ [cnG´£dg=roccY\TZVh_ apQiQy¦ ü a$2 ¦ T#´Q[mpêgVhfXqbK^Z¯jiQ´QÞ V:2 ocr¥/'VXá f '7oc TZ¦a#[Xf:qpêVhÞ qta¯TZ´[5Qb¦fha$núp1´ ¯[Xá$ nGQY%¦Vc[m´Voo$VXTZY_ ÞQ¦ya2ZT ´
' á '
ü
Ê
}
Ö
\¬
¬
¬
\»»¦»

\¬
Dó2
½
}2
½
\ ½ º
Ç
¥
¬
N¬
Ö
!¬
`
N¬

¯°
"
\B
5
B

B
°
R¬
µ
¬

p
Y
X
V
g
W
'
Y

T
g
^
µ
n

z
Y
A
f
c
a

c
o
X
V
j
Y
[
r
q
T
X
V
g
W

Y
Q
i
r
q
h
f
z
i
g
^

q
j
V

£
ë
g
W
k
Y
T
X
V
g
W
Y
X
V

f
c
o
Z
T
X
[

q
h
V
t
q
a
¹
T
]
[
@
`
]
[
X
V
k
Y
âZ iQaTVhocqrTZ[WG¦ ´
n
[][XVhdZoo$VhizYkY$[k >o$TZ_ocrKVXWgYpso$fXqocgrYk[%fhYk^gqrfhYk_·_@^gfhqtTgVhWgYiza$TZ[]VXfh^ZiVhqtaT·ikocTY2[mVha$fhYk_*^Z[]qrTgaTgt`_WG¦ra$ ´
ã )H )DO
ªt¯Q¤7£ N±"Ig±)!å_@^ZætçHopècZocs$TZa$_ r^gGnG YG¨¯zYk³ lf o$f RTZ[zacKb ©éqr"Inµ^goZVhqtdZaocTYkqr[[_@« YjiQ¢qê@_g« ocZZtY+©ba$dZffXqraTgTg$YQYkUfkiQ¥a¯j^g¬$T¬ VXZYkf5TZYQVh[kKSU{T ä5Xvjxhxwc|{~cÉv]Ö
ª «Ro$¨\TZgoc±)r`@ts[]qoc[5fhYacbI izZa$TZiz ^g£fhfXocYkTizVo []k`@o$[]fkVX YkZnG [kï Io$SUTZocäefhfhÈ aZocéTZëP_ç¤ìòZZs$a$©@ro$^gTnGVhWZY ogc7¶ ¤Kµoca$fbocrérYz"I¥iQa$nGdg©@rdgYQfX¢@qrTgqtVm`pYzqtfXT'KVXYkWZfXYoc_@Yk[X¯jqt¬$T'¬g¯o$ TZ_
ª ¡)¤(fX Yj£[X[ko¥iW
¯k¬$oc¬ TZg_ ZE©WocrtqtVkAÈ\y vc|{{Ó@uR| "0Ê@upôhxz ÓZxv $Ú ,vcytiÚ ìã ëí.Q|xz~ZÈ\y vc|{§uRÉµë£WgYGSmë
ª ³c ¥KÓg¨\xvcKXxQò|£iy ocKvYzVXcYku:TË¥Ê@ocTZ®xz_ ézK|xz¤7~>xQé·£Yz¨5q ý]ococnµTZZ_EfX] q_@ä5$qY Xvj4:hxQTZÉqtÉGsYzÈ\f[]y qtVmxk`2ôzX¤cfh(Yks$[ha[zt^Z¨5nAo$Y*nµg¯ fhq_@ac$3b Y¡(upTg$ôQoc|Twk_ex e¯kg¬X¬$$¶gz É'|{~
ª dgfhØ¨\a@iQ òYj[X[XYk£[Aoc$YzYkVXTgYkTEYzf oVhqt±µTZ· 5iza$YzTfhVXYz[]¢VXfVXog§bEfhYzo$YTZ_ ocTgé^Zoc %Yk[ktadESU |T \ä5YkXiQvjq_gxho$xgwcqt|{r~qtVmc`NÉNacv]b£Ög{qÓZ[]qrhx nµv^go~jVhÖQqtxQaXT*xz~Yjx·^gqtvsK~o$tYkä:TZiQXYGcy{bytaxQf y
a$È\b Xé#Ó"3|{UxQgÊ@dZXxQo$ÉG$Yjc[5~¬ w¢ê¥é>¯$¯z~³cÊZ©@kdgxQfXÉ&qrTgë5YzÊ@fXXvhKËZYkx
fX×ocäeÈ ¯j¬ éëI°@Ùc Ú,vcy}Ê@upx ÔäXcy{ytxzyé>~$ÊZzxQÉIs$at^ZnAYp« $¬
ª dgfhØ¨\a@iQ òYj[X[XYk£[5oc$YzYkVXTgYkYzTEf oVhqt TZ±µA iz5a$YzTfhVXYz[]¢VXVXf§ogbfhEYzo$Y+TZ_ ocTg ^Zéoc Yk%[ktaî@dEv Ê@\~¥YkiQy>q_gv]o$Ö%g{qtÓZrqtx+Vm`NÈ acwïb£gZq[]³qrnµ¶Z¦ ^góî Vhqta¢T*ê Yj«g^g qtso$^gttYk`
TZiQ¯kYG¬$¬ bgaf
ªØ°j o$dg d5Yjoc^gf£fh»qroTocfXðRVk R~¥w$5ô¨5vkvjocöîzvmocÖ ä5 X5vjxÉÉ\atÈ\rYzy fjxkôzo$XTZ_ É \(©VXYQ ¥YzT KYkfXqtikoVXqra$T a$T qrT@ZTgqtVXYN[]VXfh^ZiVh^gfhYk[kë>a
ª o$fXgqt5VXf^gocfhfh»òcfXiQVka$ TRVhYQ7¢¨5V]o$b^ZfXYkizYo$§dgIfhoca@TZiQ_ Yj[X+[XYk>[kò©VhSUYQñT ¥Yzä5TEhvk±:xTòxw|{Yk~tYkcnAÉNYkvmTÖ VhocïfhòP`Ngq[Xæ qtç¤nRóc^g£rs$oca$VXqrra$^gTònGY_@Yj¬ iQ$q[]¬
qra$acT·qb dgéfh"IaizYk_@7^ZfXdZYGo$$baYjf[
³« ¢ê³ g©@dgfXqrTgYzfXKYkfXoc¯j¬$¬ g
ª ¬ SURTZ7[]VX¨5qtVXo$^g^ZV)izû)o$§o Vhqtï aTZfho$ocdgEWg_gYkYY[µôizYkociTZWga$YkTgfhqiWZ^gY\YkYk[T_gSUY2Tg$ba$ffhocnGdgWZocYkVX[0qoc^grY% YzYQgV:fhYzqrT^g±)Yj[z^@'VXaënGYjociWgVXqTgq^gizY$ocei ¯jô¬ YzdZa$ fX&V ôaô£U¶ °c«@>SUTgfhqroZ
ªt¯k¶ R¯j¶ )Z¨5¦]¯joc´Q^Zî Zik¯gocê gû:T1as$VhYkWgnµY
fhYzYzf%^g¯k¬oc¬f'«g[] VXfh^ZiQVX^gfhY
a$bµdgfhYQg¢fhYzlfhqVhqtTg ¥ÓgxvcXxQ|Iy vu)ËÊ@Uxz z|xz~xQ
ªt¯$¯QµdZ©¥o$fhö$WgtrfXYzq¥[]VXdgYzfhTa@[]iQYkYjTE[Xö[XYkõR[k>:SUTñqrfh[X£W@NbYz"I_e!åocTZ_ æ çH5÷c$s$aatt^grYznGfjYµ 5°qr¯ [Xqrnµa$^gbéo"IVhqtaTRYjgd^Zocqt$sYjoc[+rYz¯zT³ iQöY£êqr¯ [(_@°Yk@iz©qr_gdgo$fhgqrTgrY$Ykbfka¥f¯koc¬rg¬ ZZo[]qi
ªt¯j«µqt©¥Vm@`µ¨baWgf(fhqrg[]VXq[XYkqtTZnR[]Yk^gTEroc¤ VXõRqra$ Tp)Yjqtf[X^ZW@qtsbYzocr_eYzTociQYTZ_ a$T5Zo$[Xqra$i£rtdYkfkocfoc\rtYkYkizga$dgnGfhadizaYk[X[ho$[]gYjqr[ztqtVmSU`$TL_@é Ykizqr_go$æ ç¤g÷cqrtqtVmdZÀoco$YkTZ[ _po¢@öqrê a$$np¬ ogVhqrSm[h¡ocZ¡(qt¡t
änAdZ^@VXYkf)©a@iQqrYQVm`¤(fXYj[X[k¥¯k¬$¬ g
ªt¯ µiz©¥a$)T¨VXYzWg¢fhVXq§[mbVhfhYzYzTZY+[XYzdgTEfha@ iQYk[h [kISU^@øñT V]Vh£YzN%"Io$TZ!å_Æ¨\æ )ç8ù$©ZVXs$qrfXa$rqtrTZ^gZnG Y 5qr¶µ[Xqrnµa$Nb ^géo"IVhqtaTê@YkdZo$^g$qrYjs[%ocr¯ YzTZöizêY
¯k³q[°_@©Ykdgizqrfh_ZqtTZoc$gYzrY
fjeb¯ka¬f¬«go$t
ªt¯z³c c~ 5ow vï cfhu:aacË¥VhÊ@Y®coc§TZ|_vc~Z¯¯Z^@ø ¦§VX«$VX´QYkî §£ 8³4:ê TZ_g°@Yk¯$iQgq_g¯j¬$o$¬$g³ZtY0 Yj^gqtso$tYkTZiQYj[£ba$f:o$[Xqri+dgfha@iQYk[h[:o$tYzgfog ~kÖQvup|v~
ªt¯ q õAa$bE Tg)a$fhqtfnG[]WgYkb_2Yziz_ea$KTòVXYz¢ VX§YzbfhfhYzfhY\^gndgfh7ao$izTZYk[h_ []Yj5[zEIë>NYka$iWZrtTgYkfkqrik
oc ±úôdYzdata$`fXTgV5a¡£nG¨£qro$© ocIr$¨£a©fXqt®VX¬$WZ³n ¶« ba$ZfA )_@YkYkizdZqroc_gfXqtTgVXnG*YzgTqV£[]qracnGb7qtöcafhqnAVm`
dg^gVXYzf)©giQqrYzTZizY$E¯j¬$¬c³
ªt¯ q õAYj ^Z)qtsqroc[XrW@YzbTYkiQr_eY5acòbTZ a$$fhYknAfXfhYj^g_ nZo$oc[XTqriN_ dZ5oc7focNrta$Yk:rtYkdgfkfhòa@iQ±¸Yk[h[XdYka[ktÆ`Tgë>qrnGa¹qro$oc£dgdo$Ykto$a$ffhqqrVhT¿Wgn ï
ba$Ógfpxz_@uGYkciz§qr|_gqtTgy *gq[]ÊZqrnµz§^gÊ@XoxQVhÉqta|{T~
vu)ËÊ@Uxz z|xQ~¥hxzE¯j¬$¬ Z
¯k³
Ö
<Ê
Ê
!Ê
KÓÂK
\K
NKÓI
å
OÕ
6
~
Ô"Ô
8 ¼Ø
Ö
s0
"8
"Ë"7
"Ô"ß
3Ø
*6
7
0
"ß
~
1Ë Ë
Ø
4
v
¤Ô
1Ø
\0
¦ß

Ë 1Ø
$0
Ø
0
Ø
Õ
ed
*6
~
Ô 1Ø
¤7
$0
"Ë
{T{
"ß
Ø
0
Ø
Õ
ed
7
ß
¥
¡0
©d
¥
0
d
!/
"Ø
¤7
0
²0
~
7
Ô¤Ë"7 ¼Ô"ß
¤7¤7
~
"Ô
¤Ë
1d
\ä
"ß
"ß"ß
¥
1d
"Ô
Ô
~
µ
3ß¤Ô
¤×
=/
0
6
¤×
Ë
Ç/
~
¤7
Ë
"7
+d
{
~
¡7¤ß"Ô 37 ¤Ô
¤7
¦7
×
N×
ò0
6
1Ø
/
O×
(×
~
{
7Ë
(Ø
37
A/
Ö/
¦Ô
×
¦7"ß
¯×
Ë
Ë
JÔ"7
\Ø
"ß"Ô d
@/
~
~
"Ô
ªt¯°jR¨\ ± ô0 )aocfhY$!vuAuRÊ@~||{~ xózÊZxQ~§|cy
ä5XvjhxQÉÉzxÉ(¤(fXYkTVhqrizYQ )o$t¥¯k¬ @
ªt¯ µ ^@ø VXVXYk§N 4)TZ_@Ykizqr_ZocgrY0Yk^gqrsocrYzTZizYk[5ba$fo$[Xqri+dZo$fho$trYzedgfha@iQYj[X[XYk[ké"I ¥° $¬Zî ³ ³Z¯k¬¬c³
ªt¯k¬ aµfh _@Ykfh^@ø[kVXZVXë>YzYkiocWgTZTZ_qrik©¥ocô©WYkd^g»af]ogV G© 4)Pû T
õ(Vh±:WgY2m¨£iQ©a®nA¬ dZUtYz¶ ¢gqtVm`©Vhacocb£VXaY _@4:YkizTZqr_gqtsqtYzTgf[]qtVm`µYzWZa$ob¥sû)qra$Yz^gKl focõIa$Ykfh»R^gocqrsV(oc±:rYzrTZZizocYkT[0`$o$)TZ_
YjiQdZYkfXnRYz
Yzf)« ge¯k¬¬ Z
ª «c¶ bµfhYz Y'dg^gø fXV]a@VXYkizeYk[hoc[]TZYj_[z·¨\SUTK©VXä5qrfXXrvjqrTgZxxhEwc±\|{~icVXÉqra$Tv]Ö[(é[XdYjoc»Atç¤aìc^Z(_@dZYzo$f($VXYkWZ[ o$Tp° l¢aê fh_Z[zZîIE¤Sm¡(fha¡s¡²qrTg%¨ga$qnG[]qrdgnG^@qtVhYzocfpfhqtVm©`µa@biQaqrYQfVmiQ`¹aT¤(VXfXYQYj¢[XVX[k
¯j¬$¬g¯
ª «@¯Q¤7v u)ocËT Ê@izUocxzfj E 4:zTZ|_@xQ~¥YjiQhqxz_gEoc¯kZ³ qtgrqîØVm« `µZacg¯ êb$Z¶gqr[X¯qtnGg¯kqr¬ro$¬ fXgqtVm `0bafIdYQVhfXqZTgYQV[KocTZ_A[]anGY5fhYzoVhYk_µdgfXagrYznp[z ¥ÓZxhvcXxz§|y
ª «$«s¤7a$ r^go$nGT YAikoc¯fj« 5acqr[Xbb qrnµé#"3^goVhqt@adZT¹o$Yk$Yk^g[ qrcs³ocö¬rYzê TZiz$Y¬gq[A¯k¬$_g¬Yk°iQq_go$gtYba$fAa$TgYz®iza$^gTVhYzfAdgfXa@izYk[h[]Yj[z*SUT Èéäæ çúz
ª « ¤7änAo$dZT ^@izVXo$qrf(Tg2ocT©@_ iQqrYzT@iQY a\trYzYzdZfjo$f]©VhqrnAnµYk^gToVkVhG qt4:aTpdZdZac[XbEo$aroTgYQ4)UiQTgaqt^gsTYzfVX[]YzqtfVm`$TgeYQV¯j[(¬$¬s¬gqo iQata^gfhqtTgeëYjiWgTgqizoc ôYkdaf]V)¯ c¬Z
ª «³c¤7x xwoc|{~T cikÉµocfjvmÖ 5Ebò atëirYzïRfjeæ çHocç$TZ __ ûIû%E¨£©@©¥oZl5©oZdgfhqr©Tgqt$nRYk^gfkeo¯jVX¬$qra$¬$T*¬Z dgfha$grYznp[)ba$f%a$TgYz®iza$^gTVhYzf+nGoiWgqrTgYk[k%SUhT ä5hv
ª « a$¤7b>}¨\Yk ^g0qrso$ocTgrYzYzrTZociz»Y$qr [oc~kTZÖQ_v©¥up ±g|v©~nGa$~¥r»w og7vü)¨£Ë©pÊ@YQU¢@dg|fhvYk~[h[]qra$ZTZî [k³ ¢Zê TgqtgVXY%¯k[m¬V¬$o¶ZVXY+ dgfha@iQYk[h[XYk[(o$TZ_GVhWgfXYkY\dZfXagtYknp[
ª « ±µEÈ %é^ äàiQYzùEfüHogü¤ üZN¡ s°2a$riQ^gqrnGYzTYGV¯ s$YkfXµqta$ikNboVXéqra$"IT1o$t@da$ocfhq$VhYjWg[%np¯k[p¬;« bê@a«$f¶a$°@TZYQ©UdgiQa$fhqr^ZTgT$VhYkYzfkf'Z«$dg¶$fX¶$a@¶ZizYk [h[]Yj[zSUàT ä£Xvkxxw|{~É·v]Ö
ª «°jY ô0EÈ+Néoä`æ fkùE üHü¤üT-s$a$VXr^gWZnGYYGiQa¯ nGdgRtYzac¢@b qVmé`Æ"Iacbpg q[]qrYznµTg^ZYkrsocoZVXZqra$©TlqtdgV zfha$YkfXgrocYzTnp_e[«cba¶f
¶$¶ZZ@o©@[]dgqiòfXqrTgdZo$Yzfhf£o$tKrYzYzµfhrdgo$ZfXa@ izYk[h[]Yj[z SUT
ï
ª « Y ô0bNæ ùEo`üHüHfkücsa$Tr^gVXnGWgYNYG¯iza$°$nG«dga$rYQb ¢@éqVm"Iàcb+g©@qrYz[XTZqrnµ_go$^gq§oVhqtocadT ocTEdZZfXa«$g¶$t¶$Yk¶Znpg[A©dgba$fhqtfpTgdgYz^Zf£[XWZK_@YzafhlocT.Z oc^gVXa$npocVhogSUT ò ä
ª «c¬Y ô0qtrTgYkfkq vuAuRÊ@~||v~ò~w v~zÊ@Xxz~ ¤fhYzTVXqiQYz \ocr§¥¯j¬ $¬Z
ª $¶ _@ï Yk>$©fhYzYzYTg>q zSUYk{T fXä5^gXYkvj[kj Ú)vmÖ YjòPiQq!_gocZqtræqçHVmèc`*acSm¡(b£¡gq¡:[]qr¥nµ¯k^g¬¬ ogVhqtaTYk^gqrso$tYkTZiQYpa$b5Yj^ZoVhqtaTZocKfho$dgWZ[%acb5ZTgqtVXYpa^@V]
ª g¯QY sô0a$ r^gcnGsocY+T ³ ï Rro$acgNb é#YzYz"I»¥¥ë£gWgdZY:ocrqtTZYk[Ykoc«f7° Vh¢qtêgnG«c£Y¬°@êµZ±)fhnpo$TZ[miVhWgYzfqrTg_g+ocnVXqrnAe¯kY\¬[]¬$d¶ZYk@iQ©@VXdgfh^gfXqrnTgYzSUfXT Kä5YkhfXvkocxx w|{~cYÉ £N"I!å oæ ç=ü
~
×
¦ß 1×
×
1×
$×
×
~
ß
3Ë
¥
¤Ô
"ß
1×
"ßË
"7
d
"Ô
¤×
{
Ø
7 Ô 37¤ß"Ô
å
!
~
Ø
å
¤ß
Ø
ß
¼7
¤Ë
0
{
~
"Ë"Ô
7
~
$å
ÓË
¼Ë"Ë
Ç/
Ë
1d
+Ø
å
)/
x
~
"Ë
~
)Ö
Õ
ß"Ô
{
Ô
ºÕ
7 ¼Ô"ß
å
~
¦ß¤Ë"7
{
¥
~
¦ßË7
{
.8
¥
ß
{
~

~
¦ß
sØ
v
7
!ä
98
"ß
Çd
~
7
¿×
"ß
Ø
6
3Ëß
~
ß
¯
Ë
{
JADAF \DAF
ÅÿþQÁ¥Ã Ä cÃjÂÄÁ
«@«@rØ«¯ kÂ ¡(¨I¿o$^g[hqrÀI[]sYjocÁI[£rÂYzacÃjTZb>ÂÄizdZYkÁ fX[!a@iQYj0[X[X%Yk0[)%%0000++00%%00%%0000%%00%%00++0000%%00%%00%%0000%%00++00%%0000%%00%%00
ggErØÃ «¯ @Ãj¿NSUIT@qtÄ ZTZ:TZqVh/ÃqYQVh¥IUYQ[m¿UV[moVVXoY0VXÃ Y0dZdZfXa@fXiQa@YjiQ[XYj[X[XYk[X[:Yk[¹000++00%%00%%0000%%00%%00++0000%%00%%00%%0000%%00++00%%0000%%00%%00
pÁ ¿ Ã
³Z³ZrØ«¯ +¤K®¤KWZ®o$WZfhoc_@fTZ_@YkTg[hYj[[Xa$[£b7a$o$bIt[XeqtYjnR^g^grqtocsVXo$qrta$YkTTZiQYkYj[5^gbqra$sf£ocrZYzTZTgizqtVXY\Yz®b[]aVhfocVXa$Y0TgYzdg®fhiza@a$iQ^gYjT[XVh[XYzYkf£[ Tg0YQV%[ì000%%00++00%%0000%%00%%00
ý
(K
¦
(I
g
j5psk t

Å
m(t
¦p
k
g
Û
Lp¼
7
³«
/
Ë
7
3k¦m(o k
d
¯
Ô
Ë
Ü
¬
Ô

Download Report

Equivalence problems for finite-state and one

Paperzz.com

Your Paperzz