Helping the Invisible Hand A Theory of Endogenous Mutual Concern

 ¢¡¤£¦¥¨§¦©
¡
©§! "§¦#¨£!¡
 %$&©¨'
(
)
0¡21354
1&6879©¨'1@A¡¤©1B %C
BDBE$&£GFH1©¨IP¡Q3R©
SUTWV!X`Yba9cedgfihpTWVrq
seatYvu5wxV¦yrYvX??dW??c?dgaty?X`T?aR?
?du5wxh??wxV????D?????d?
egf5hjik?lnmri
o"pnqsrutxv?twyxPznwy{`wy|s}¦t~rv??p~wj}¦x??}??twy?~zn}¦?`wy?~}¦?~rP?2?n???xv?|??j}¦?~?jwyx??W??o"p~w2?¤?n???xv?|
?j}¦?~?jwyx??}¦xP??p~w¤??}¦xv?|?q??i??}??"wj?j}¦?~}¦?qs??v??`wy??r?qsrPrwjwy?v¦rv???wv??~rP?}&xwjz??~?jw???p~w
q??~w??g?yqswy?~?yqswjr?}??P?gv?x??`wy?r?q???v???wy?{?q?x}¦?n??wy??&?p~wyxw???p~wewy???}¦x?jwy??wy????}???tnx}¦t??
wyx??b?@x?q??rp?r qsr ?j}rr???|??`?~¡wr?p~}?p??pxv??Dxv???qs}¦?xv?|5v??`wy???r pxv{`w2v??Aq??~?jwy???q?{`w¤?}?q??{`wjr?
xwjr}¦?nx?jwjrQ?}?yxwv??w@vA?¤?n???xv?|?j}¦?~?jwyx??W?g¢n?nx???p~wyx???}¦xwr£¤??p~w&r???xwy?n?r??p¨}??D??p~w??¤???
???xv?|x?j}¦?~?jwyx??gznwyt?wy?~znrR}¦????p~w"?wj?pn?~}¦|s}¦?rqswjr"}??tnx}?z??~?y??qs}¦??v??~zgv?tntnx}¦tnx?q¥v???qs}¦??v??~z
znw??wy?~rwr??¦5wj}¦tn|sw?q???wj?j}¦?~}¦?qswjr?q???pv¤pnq??rp??xv????nxv?|?tnx}?z??~?y??q?{?q??i??q???{`wjr????}¦xwPxw??
r}¦?nx?jwjr?q?????p~w ?yxwv???qs}¦?@}???vP?2?n???xv?|??j}¦?~?jwyx?????pxv???twj}¦tn|sw q???wj?j}¦?~}¦?qswjrd?q???pg|s}§?
?xv????nxv?|dtnx}?z??~?y??q?{?q??b?`?¤¨t?©??p~wgrv???wg?}¦?`wy?W£g??}¦xv?|?q??i?qsr?v???wv??~r¤?}xwjz??~?jw???p~w
?ªx?qs?y??qs}¦?~rPq??0v??©wj?j}¦?~}¦?¤??}¦?n|???q«?R??p~wznwj?yqsr?q?{`wy?~wjrr?}??v?tntnx}¦tnx?q¥v???qs}¦?¬v??~z­znw??vwy?~rw
qsrxwy|¥v???q?{`wy|???r?q??q?|¥v?x?
®?¯?°¦±R²¦³µ´¦¶j·¦?x}?z??~?y??q?{?q??i?`£x¸¹?xv?x?p?`£ºe}¦xv?|?q??i?
»?¼?½?¾y¿?À?¶Á¶ÁÂ
Ãd¾ÀrĝÂv²¦Å·?ÆgǐÈ?ɤ®¹ÈnÊ`É?Ë5̦Í
ΐÏ?ÐÒяӁÔ`Õ?֏×iØÚÙÁÛ`×iثܵÑgÝ5×iÙÁÞ§ÙÁ×tӧԏÛgßRٍ׵àiܵÑ`ÙÁá?ât×Òã!àÒàiäPӧԁåsã§×"Ñ`ÙÁáçæ`åsè`áWܐã!äuäPÙÁÔ!еàé?ê¤Ñ`ÙPÕ¦ØçÔ?Û?Ñ`ã?àbæ`ØçÐÒÓ§áçØçÐëÞ
ãå~Ý5×Òãjì?ÔPíRÔ`ØÚî§Ù×µàiØïÐëÞuØÚà?ð§×µÓjÐÒِåsè`áÚáçÞPӧܵզÔ`ãjì?áÚÙÁÛ`ð§ÙÁÛ~éñ?ÙÁàiÙÁÓ§×ÒܵÑPã§ÔPÐÒÑ`Ø«à?æÓ§æ?ÙÁ×?яÓ!àWò?ٍÙÁÔ2àbèæ`æ?ã!×bÐÒÙÁÛPò¦Þ¹ÐiÑ`Ù
âtٍ×Òä?ӁÔ@ñ?ÙÁàiÙÁÓ§×ÒܵÑ?Ö`ã§èÔÛ`ÓjÐÒØçã!Ô~éxó¦ÙÁԏÛ&äPÓ§Øçá?ÐÒãô~íRÔ`Øçî!ٍ׵àbØçÐëށãå?õdã§ÔàbÐÒÓ§Ô`ö§÷nødٍæÓ§×bÐÒäuÙÁÔ?Ð"ã§ågù?܍ã§Ô`ã!äPØÚÜÁà÷
Ý5ãyú2øüû?ý§þ`÷røRÿ¡ £¢£¤¦¥§ õdã§Ô?àëеӁÔ`ö!÷?ÙÁä?ӁØÚá
ô
©¨gӁ×iÐiØÚÔ~é
õdã§áÚä?Ӂ×dè`Ô`ØçÿªÕ!ã§ÔàbÐÒÓ§Ô`ö§é
ÛrÙ

---


! #"%$%&')(0 1
2436587@9BADCE5GFIHPCEQR5TS©U'VIUWAGUWXYC£`aUWAGbIU'CcFd5eSfUgVhi5pb4S©UHIqr5eSfUgVWHPUs8UWHIqtC£Hd5TS©U'VIuwv§UWH
5eSfuE5ts8UgUPxy©U4bW5tC£hiH?E7TA?AGUWHIqtVhi5GFIHPCEQR5eSfUW7THdHPU??§u£HP??5pC?5eSfUW7THCEs?A?7TA©5pUHPU965???
???
?0uEQ???Qg7T5eS?q!?DSfU??gUIu£`?5TSdC¡F)e'uE5f7?CEAf9IqDyg?rhi£j£?
k?l?mGnpoqnsr?tYuwvyx?z{i|'}?~W¡??)rf??xwrf?Du?t?tYu?m?t?}§?D}§??n???t???mG???????{D????}?~w??}?lrf??l?r??qrfl???m?fx??mG???8}
?D??rl?}?l?t?{?tYu?}§rf~sn???tY??mG?mGl??Gm??gtYmG?D}?????t?u?}?r?g?qrx?rf??f}u?mG??l?{G?tYu?}?n?m?~??G}0t%rfxs{D??}?{G
tYu?}?n#{Dxwtsrfn#z8{D~wtYmG??t¦?!r?????}§??tYr?m?4?BmG??l?ns{Gxwt#~?}§fr?m???f}?~w}?x???tYx#rf??}??§{D??{Dn#rf?§x? d¡It#|g{G??fl
tYu?}?~?}0¡{D~?}??8}¢?{GfltY{?Eu?mGf}????D}?t?u?rfx'??r}§|? ?£?u?}?z???~?z8{Dx?}?{G)tYu?rfx?z?mGz8}?~?rx~Ym©tYu?}§~tY{#mGl?l
m¤??}§|¥z8}?~wx?z8}??§t?r?G}G 8¡It¦rx§m?~??D??}§l?t?u?m?t§rf??r?tYr?m?f?¤??????{D????}?~w??}?l?}§??{D??{Dnsr?dmG?D}???t?x§u?m¦?G}?mG?
rf????}???t?r?D}t?{¢rf???D}§xwtrf??tYu?}??§~?}¦m©tYrf{G?{Gm?n???tY??mG???{G????}§~??¤r?t?u?}?}???¡{G~???}§ns}§??t'{?z?~?{Dz8}?~Wt6?
~?r?Du?tYx¨rfx©??{DxWtY?G ?¡6?¤m§?q??tYx?u?}?fPªfrf?mG?1}???{G??{Dn1??|«rt?u1tY~?mG??x?mG?§t?rf{D????{DxWtYx!t?u?}rf???qrfxwrf??}Bu?mG??l
u?mGx?l?r?¬#?????tYrf}§x?rfn#z?}?n#}???tYr????tYu?}#}0¬#??rf}§??t?z?~?rf?§}?x§?wtYu?}¤n???t???mG­?§{D???§}?~??®{GtYu?}#mG?D}§??tYx
u?}§fz?x«rtrfn#z?f}§ns}§?gt?rf????tYu?}§n? 
£?u?rfx¦z?mGz8}?~¦rx¦??{?t?tYu?}?¯?~?xWt¦tY{?°g??m?frp?%k?l?mGn±oqnsr?tYuwvyx¦r??x?r?Du?t¦ r£?u?}?~w}¤mG~?}?l?r²}?~w}???t
|gmi?qx«tY{}§??x???~w}¢tYu?m?t«nsmG~w?G}§t?x|g{G~??r 8³mG~w?G}§t«t?~YmG??x?mG?§t?rf{D??x??¦mG?%~?}§??{D??tYu?}¢{G¬#?§r?mG?m¦|´
}???¡{D~??§}?n#}???t!xW?qxwtY}§n??f~w}?z???tYm?tYr{D?w?¦{G~)t?u?}Brf??tY~wrf??xwrf?dn#{GtYr???m?tYr{D?¦{G?tYu?}dt?~YmGl?r???«z?mG~WtY??}§~?x)tY{
¡???¯?f8{D??}?vax«{D??rf??m©tYrf{G??x? gk¥f{Gtg{G¨z{Gt?}???tYrfmGtnsmG~w?G}§t?t?~YmG??xYmG?0tYrf{G??x??¦mG????{Gt«?8}¢x???z?z8{D~WtY}?l
???µ{G¬#??rfmG?m¦|¶}???¡{G~???}§ns}§??t??8}???mG??x?}%tYu?}·??x?}·{G§t?u?}%??{D??~wtYx#rfx?t?{?{¸}£¹?z8}???x?r?G}?{G~¤t?u?}
rf??¡{D~?nsm?tYr{D?º??}§??}?xwxYmG~W??rxs?????G}?~?r?¯rmG??}G '»'?µtYu?}?xYmGn#}?t?{D?G}§?w?~?}?z???tEm?t?rf{D??l?}?z8}???l?x{D?
~?}§z}?m?tY}§l¸rf??tY}§~YmG?0tYrf{G?w?8|«u?rf?Eu?rfx¦??{Gt?mG?|m¦?qx¢?Dr??D}??t t¡6???¦m?x?}?tYu?m?t?tYu?}rf??tY}§~YmG?0tYrf{G??rfx§??{Gt
~?}§z}?m?tY}§lm¤nsmG~???}§t«?¦m?????{Gt?}?n#}?~w?D}¢rf??t?u?}dmG??x?}§????}d{G©tYu?}?~wrf?Du?t«n#{D~YmGrt6?G 
nsz?r~?r?¦mG?d|g}§{D??x?}§~w?G}¦nsmG~???}§ttY~Ym???xYmG?0tYr{D??xBrf?#x?r?tY??m?t?rf{D??xB|«u?}?~?}§}??§{D??{Dn#rf??tYu?}?{D~W?
¼
tYu?m?t«¡{??§??x?}§x¦{D?·}??D{Grfxwt?rf??n#{GtYr??Gm©tYrf{G??x'|'{D??lz?~w}?l?r?§t«tYu?m©t§nsmG~w?G}§t?x§??mG????{?t¦}§ns}§~??D}d?}£´
?¦m???x?}#??}?r?tYu?}§~¢?m¦|´6}§??¡{D~w??}?n#}???td??{D~¢~w}?z???tEm?t?rf{D?¸n#}??Eu?mG??rfx?n#x?|'{D~??r )£?u?rfx¢rx¢}?xwz}§??r?m?f?
tY~w??}«¡{D~dtY~Ym?l?}?x'{Gwxwn?mG???mGf??}?mG??ls|«rt?usxw}?~wrf{D??xB?D}§~?r?¯??¦m?t?rf{D?#z?~w{D??f}§nsx§ gk½xWtY~?mG???D}§~'r?m
??r?t6?%?????qrf???sxw{Dns}?¡{q{?l%rf??ms?G~?{q??}?~W??xwt?{D~?}du?mGx???mGxwrf??mGf????{#|m¦?%tY{#z?~?{q{G¨tYu?}?mGn#{D????t
{Ggns{D??}§??u?}#??m¦?D}¤tY{%tYu?}sl?}?mGf}§~? )¾?}§?D}§~wt?u?}?}?x?x§?!n#{Dxwtd{G'tYu?}¤tYrns}?t?u?}¤l?}¦m?f}?~?~w}§tY??~???x
tYu?}¦?Eu?mG???D}G q£?u?rfxrfx'mG?s}0¹?mGn#z?f}?{G)mdn?mG~w?G}0t't?~YmG??x?mG?§t?rf{D?¤tYu?m?tgrx'??}?rt?u?}?~x???z?z{G~wtY}§l???
tYu?}?~w??f}¢{G!?m¦|¿??{D~«?g?%~w}?z8}¦m?t?}?l?rf??tY}§~YmG?0tYrf{G?w ?k¥?q??n??}§~§{?!}0?D}?~W?ql?m¦??t?~YmG??x?mG?§t?rf{D??x§m?~?}
{GBtYu?rfx¦?Eu?mG~YmG?0tY}§~¢?}§?¦mG??xw}}§?G}??¸|«rtYu?{D??t??G}?~?r?¯??¦m©tYrf{G??z?~?{G??f}§nsx?tYu?}{Dz?z{D~WtY????rt6?·??{DxWtYx
À

---

{G!?D{Drf???#t?{#t?u?}??§{D??~WtYx?n?m¦?%?8}?z?~w{Du?r??rt?r?D}? ?£?u?}d¯???l?r???Dx?{G­}£¹?z8}?~wrfn#}???tEm?©}§??{D??{Dnsr??x§?
}?xwz}§??rfmGf??s{G?%t?u?}¢???tYrfnsm?t???nÁ??mGn#}§¡??~WtYu?}§~?xwt?~?}?xwx?tYu?}¢z8{Drf??t'tYu?m?t«nsmG~w?G}§t?x?¦m??·?8}¢x????0´
??}§x?xW¡??wrf??x'}§?g?qr~?{D??n#}???t?xg|«u?}?~w}???fmGx?xwrf??mG}§??{D??{Dnsr??t?u?}?{G~w?#|g{D??flz?~w}?l?r?§t'tYu?m?t'nsmG~???}§t
tY~?mG??x?mG?§t?rf{D??x?n1??xwt«cmGr4 TÂ
£?u?}¢rf??xwtYr?tY??t?rf{D??mG8mGt?}?~???m?tYr??D}§t?{1tYu?}¢z?????rf?¦}§??¡{D~w??}?n#}???t?{?¨fm¦|Ãrfxz?~wr??m?t?}¦}???¡{D~??§}0´
n#}???t?????l?}§¡}???x?r?G}?rf???D}§xwtYn#}???t?x«mG??mGr??xwt'tYu?}¢m?z?z?~?{Gz?~?rfm?tYr{D?s????{GtYu?}§~?x§ ?£?u?}¢xWtY~Ym????D}?~grf?
tYu?}¦}0¹?mGn#z?}§?§{D??fl??¦mG~w~w?sm??D???rf?s{D~?l?}§~'t?{1nsmG?G}§u?rfx'l?}?xwrf~?}§ns{G~?}???~?}§l?rf??f}«tY{1?G}§t??mG?E?
u?rx??Eu?mG???G}G wÄ?~w{Dnpt?u?}?z8{Drf??t¦{Gd?qrf}§|Å{Gdt?u?}????xwtY{Gns}§~??t??mG~?~W?qrf????ms?D????nsmi??nsmG?G}1t?u?}
rfl?}¦m?z??mG??xwrf??}?tYu?m?ttYu?}§¡{q{?lsu?mGx?}§}???{i?D}§~?z?~wrf??}§l?¡~?{GnÆt?u?}¦?8}??Grf????r????mG??lst?u?m?tgu?}?mG?£´
tY??mGf??d|gmG??tYxdt?{¢?D}§td??mG?E?m?fr?t?t?f}ns{D~w}gtYu?mG?u?rfx!?Eu?mG???D}? ?£?u?}?l?}?mGf}§~­?¦mG?¤l?}0¡}???l#mG?DmGrf??xWt
tYu?}?mGz?z?~w{Dz?~?rfm?tYr{D??r?)u?}?u?rnsxw}??)rf???D}§xwtYx?r??l?}§¡}§??x?}? rǧ}§????}???tYu?}¢??mGx?r??xwt?~????0tY??~w}¢{G©x?}???´
}???¡{D~??§}?l?z?~?{Dz8}?~Wt6?~?r?Du?tYxdrfxdt?u?m?tB{Gtmd?§{D??tY}§xwt¦ yÈgk§x'r?tdu?mGxB{D?????}§}??#l?{q????n#}???tY}§l?r?¤t?u?}
fr?tY}§~Ym?t???~?}?????{G?gt?}?xWtYx?mG~?}?r??}§¬#??r}???t«?8}??¦m???x?}?z?mG~Wt«{G)tYu?}?z8{GtY}§??tYr?m?|'}?cm?~?}¢rfx|gmGxWtY}?l·???
tYu?}?m?twtY}?n#z?t?tY{sz{Dxwx?}§x?x?r?t¦ yɦ£?u?rx¦f{Gx?x?{G­|'}?cm?~?}1z???tYx¦m?frnsr?tgtY{stYu?}?}0¹qtY}§??l?tY{#|«u?rf?Eu
nsmG~???}§tYx«??mG??}£¹qtY}???l????n#}¦mG??x«{G¨x?}§¨}???¡{G~???}§ns}§??t¦ 
¡6?st?u?rfxBz?mGz8}?~B|'}¦mG??mG?qÊ?}«tYu?}§~w{Df}?{Gwm?n#{D~Ym?frt6?1mGxm?n#}¦m???xdtY{d~?}?l?????}?tYu?}?~?}§x?{D??~w??}
??{GxwtYx!{G?tY~?mGl?}G ©£?u?}rl?}¦m?tYu?m?t!ns{G~YmGrt6????mG??8}m¦xw{Df??t?rf{D?dtY{¢m???{q{Dz8}?~Ym©tYrf{G?1z?~w{D??f}§n¥u?mGx
{D??tYmGrf??}?lm??§{D??x?rl?}?~?mG??}mGn#{D????t­{?tm©t?tY}§??tYrf{G??rf?1t?u?}rtY}§~Ym?t???~?}{D?z8{Dfr?tYr?¦mG?z?u?rff{Gx?{Dz?u??G 
£?u?}%rfl?}¦m?u?mGx?8}?}§??n#{Dxwt1¡{D~??§}§¡???®z?~?{Dz8{Dxw}?l??g?µËdmG??tYu?r}?~%Ì
?!{Gt?u?}?~¤m?l??D{q?¦m?t?}?x
ÀiÍDÎDÏ?Ð
{G§tYu?}·rfl?}?m¸mG~?}?¾¦mG~W?D}§x?{D?¿Ì
mG??lRÑ?mG??r}?fxw{D?ÒÌ
 d¡I§tYu?}·z?~w{??§}?x?x#{G¦??~?}?m?tYr???
ÀiÍDÎGÎ?Ð
ÀiÍGÍDÏ?Ð
ml?rx?z8{Dx?r?tYr{D??tY{?~w}?x?z8}??0tx?{q??rfmGf???mG?G~?}?}?mG??}?xwt?~Ym?t?}??Dr}?x?rfxdx????§??}?xwxw¡??P?!tYu?}???{q{Dz8}?~?m?tYr{D?
z?~w{D??f}§nÓrx?x?{D??D}?l%|«rt?u?{D??t?m??g?%~w}??§{D??~?xw}dt?{¤{D??tYxwrfl?}¢}§??¡{D~w??}?n#}???t? 
£?u?rfxrl?}¦m?rfx?r?µm?n?mfÔw{G~1~?}§x?z8}??0t¤rf???§{Dnsz?f}§t?}mG??l?n#rfxwf}?mGl?rf???? ¡It¤rfx?rfn#z{D~WtEmG??t?tY{
??{Gt?}tYu?m©ttYu?}??§~?}¦m©tYrf{G??{?¦m??§{Dnsn#{D?ºn#{D~Ym?frt6?¸rxrt?x?}???m?z?~?{q??}§x?xtYu?m©t¤~?}?°g??r~?}§x¤t?u?}
rf???G}?xwt?ns}§??t?{?'xw?¦mG~w??}¤~?}§x?{D??~???}§x? £?u?}¤}§??{D??{Gnsr????{DxWtYx¢{GtYu?}??~?}?m?tYr{D??{Gx?{q??rfmG!??{D~?n#x
mG~w}§?D}§??}?~?mGf??rf?G??{D~?}§ls???t?u?}§rt?}?~Ym©tY??~w}?{G?sz8{Dfr?tYr?¦mG?z?u?rf{Dx?{Gz?u??D g¡Imdns{D~?mG?l?rx?z8{Dx?r?tYr{D?
??{G??fl??8}??Eu?m????D}?l?|«r?tYu?{D??t¢mG??????{DxWtYx??t~Ym?t?rf{D??m?¨m??D}???tYx?|'{D??l?u?m¦?D}??{?rf??tY}§~?}?xWt¢??{Gt¦tY{
z8}?~w¡}§?§t??smGfr?D?tYu?}§rf~'z?~?}0¡}?~?}§????}§x? ?£?u?rfxB|g{D??fl}§frfn#rf??m?tY}?}0?D}?~W??z8{Gt?}???tYrfmG?¡{D~g?§{D???r?§t'rf?
Õ
Ö`ã!×?Ó?àbè`×Òî§ÙÁÞ?ã§Ô¤ÐiÑ`ÙáÚØçÐiٍ׵ÓjÐÒè`×ÒÙtã!Ԥٍúræ?ÙÁ×iØÚäPٍÔ?ÐÒÓ§ánÙÁܐã!Ô`ã§äPث܍à¤àiٍÙDõӁð!ٍánӁÔ?Û¤ñ?ã§ÐiÑÖëû?×0צ £Ø?é
Ù
ó¦ÙÙ ât×Òã!àÒàiäPÓ§Ô¦Ú0Û0Û`û!é
Ü
Ö`ã!×?ِú`ӁäPæ`áÚÙDó¦ÕjӁæ?ٍ׵Û`Ó§à"û?×0קڹӁäPã!Ô`ð¹ã§ÐiÑ`ÙÁ×ÒàÁé
Ý

---

msxw{??§rf}0t6?D 8£?u?}???~w????rfmG)°g??}?xWtYrf{G?tYu?}§~?}0¡{D~?}??8}??§{Dn#}?x§|«u??·tYu?rx§rx§??{Gt?l?{G??}G 8£?u?}1??}§??tY{
????l?}?~?xWtEmG??lÞtYu?rx¢°g??}?xWtYrf{G?Þrfx¢t?u?m?t?tYu?}¤?§~?}¦m©tYrf{G?®{G'n#{D~YmGrt6??rfx?rt?x?}§gm·?§{Dxwt???z?~w{??§}?xwx? 
£?u?}d~?}§x?{D??~w??}???{DxWtYx?{G­?§~?}¦m©tYrf???sm¤n#{D~YmGrt6?sxwt?~?{D???#}???{D???Du·tY{#{f?G}?~w??{Dn#}1m¤??{q{Dz8}?~?m?tYr{D?
z?~w{D??f}§n¿n#rf?Du?t)??xw}gx?{§n????Eu?~?}?xw{D??~w??}?x©tYu?m©t©t?u?}x?{q??rf}0t6??}???l?x!??zd|g{D~wx?}{G²¨ fß®}BtYu?}§~?}§¡{G~?}
u?m¦?D}dtY{s????l?}§~?xwtYmG??l?t?u?}??§{Dxwt?x¦{G­??~?}?m?tYr???smsn#{D~YmGrt6?s??{Dn#z?mG~w}?l·tY{st?u?}1?§{Dxwt?x¦{G!{GtYu?}?~
rf??xwtYr?tY??t?rf{D??mGtm?tY}§~???m©tYr?G}?x?r?·{G~?l?}§~«t?{¤????l?}§~?xwtYmG??l?rtYx?}§??{D??{Dnsr??~?{Gf}G 
¡6?µ{D~?l?}§~?tY{¸l?{?xw{¸|'}%l?}§?G}?{Dz?m¸n#{ql?}?|«u?}?~w}·}§??{D??{Dnsr??mG?D}§??tYx?¦m???}???m?f?¸?????
{D~rf}???mG??mGz?z?~w{Dz?~?rfm?tY}§?D{q{?l?xmG??l?l?}0¡}???l?mG??mGr??xwtmGz?z?~w{Dz?~wr?m?t?rf{D?w g£?u?}¢?§{D??l?r?tYr{D??xm?~?}
mG??m??qÊ?}§l®????l?}?~¢|«u?r?EuÞ~Ym©tYrf{G??mG­m??D}???tYx??§{D??¡~?{G?gt?}?là|«rtYu?t?u?}|mGxWtY}#{G'~?}?xw{D??~w??}?x?u?m¦?D}
mG?#rf???§}???tYr??D}«tY{drf???D}§xwtg~?}?xw{D??~w??}?x'rf?¤tYu?}???~w}¦m?t?rf{D?¤{Gwm?n???tY??mG??§{D???§}?~??t ?³·??tY??m?8?§{D???§}?~??
rfx?l?}§¯???}§lÒr??tYu?}¸xw}???xw}àt?u?m?t·mG?D}§??tYx%mG??xWtEmGr??¡~?{Dn
mGz?z?~w{Dz?~?rfm?tYr???Þ?G{?{ql?x?}§?G}??½rd??{
?m¦|´I}???¡{D~w??}§ns}§?gt«{G~?~w}?z???tEm?t?rf{D??n#}??Eu?m???rfxwná??{D??xwtY~?mGrf??x«t?u?}?r~??}§u?m¦?qrf{D~§ 
£?u?}®mGz?z?~w{?mG?Eu?tEmG??}?x?mGx%?Dr?G}???tYu?m?t?tYu?}àmG?G}???tYx%u?m¦?D}¸tYu?}àz8{Gt?}???tYrfmG§¡{D~%mºn#{D~Ym?
x?}§??tYrfn#}???t?Ìcn#{D~YmGdl?rfx?z8{DxwrtYr{D?
?w????t?tYu?m?tdtYu?}?}0¹qt?}???l?t?{?|«u?r?EuÞtYu?rx?n#{D~?mGdx?}§?gt?rfn#}???t
Ð
rf?????}?????}?x?t?u?}¢?}§u?m¦?qrf{D~{?©t?u?}?mG?D}§??tYx?rfxg}???l?{G?D}???{G??x? ?¡It«?§f{Dxw}?x«m???mGz?r?tYu?}¢rt?}?~Ym©tY??~w}
{D?ÃtYu?}à}?n#}?~w?D}?????}à{G??§{?{Dz8}?~?m?tYr{D?w £?u?}®}£¹?rxwt?rf????fr?tY}?~?m?tY??~?}???mG?â?8}¸l?r?qrfl?}?l½rf?Ãt6|g{
l?r?²t}§~?}???t??¦m?t?}??D{G~?rf}§x? )£?u?}#¯?~?xWt?xwt?~YmG??lÞ{Gt?u?}?rt?}?~Ym©tY??~w}¤mGx?xw??ns}§x?t?u?m?tdtYu?}s?}§u?m¦??r{D~Ym?
rf?????}?????}¤{G'mGt?~???rx?nã{D~¢{Gt?u?}?~?cm??§tY{G~?x¢l?~wr?qrf??????{q{Dz}§~Ym?t?rf{D??mG~?}?Dr??D}§?®m???l¸}0¹?{D?D}§??{D??x
¡{D~?tYu?}?r??l?r?qrl???mGx? ?£?u?}dt6|'{?l?rxwt?rf???0tYr?G}¢¡}¦m?t???~?}§x§{G¨tYu?rx«???m?x?x?{G­n#{?l?}?fx«m?~?}?ÌPm
tYu?m?t
Ð
??{q{Dz8}?~?m?tYr{D??rfx)}0¹?z?fmGrf??}§l?????tYu?}n#{Gt?r??m?tYr{D?¢{G?tYu?}'mG?D}§?gt?x!m???l?Ì¡?
tYu?m?t)t?u?}gm?tY~w??rfxWtYr?d{D~
Ð
n#{D~YmGtns{Gt?r??m?t?rf{D?rx«}0¹?{D?D}§??{D??x«¡~?{Dn¶tYu?}dz{Grf??t«{G!?qr}§|¿{?dm¤x?rf???Df}?mG?G}???t¦ 8Ǧm?nsrtY{G?wvax
Ì
cmGns{G??x1?grf?q´6x?}§f}§?§tYr{D?®t?u?}?{G~w??rx?mG?º}£¹?mGnsz?f}s¡{G~1tYu?rx1rtY}§~Ym?t???~?}?ª¨}§t?å±?}?t?u?}
À¦Í?äGÎ?Ð
?8}???}0¯?t«¡{D~?mG?D}§??t§æ¤m???l·çètYu?}??§{Dxwt?x«¡{G~?mG?D}§?gt?é?~w}?x???tYr????¡~?{GnámG?%mG?0tYr{D?%????l?}§~wtEm??G}??
???àmG?D}§?gt#éD k§?D}???t#é¤|«rff­mG?§tdr'çëêèìGås?w|«u?}?~w}sìn#}¦m?x???~w}?x?tYu?}¤?D}§??}§t?rf?¤~?}§?m?t?}?l???}§x?x
?8}§t6|'}?}??½?8{GtYuÃmG?G}???tYxWí?ÌcǦmGn#rf?tY{D?tvax#î«??f}??gǧmGnsrt?{D?
 BßÃu?m?t?rfxrnsz8{D~WtEmG??t#¡{D~
ÀiÍGÏGïgÐ
{D??~dz???~wz{Gx?}?rxdt?u?m?tdtYu?}#n#}¦mGxw??~?}s{G?~?}§?m?t?}?l???}?x?x?ì%rfxd}0¹?{D?D}§??{D??xd¡{D~dt?u?}#rf??l?r??qrfl???m?fx? 
?D{D??tYr{D??mG~W?¤tYu?}§{D~?r}?x?{G)?§{?{Dz8}?~?m?tYr{D?u?m¦?G}?m?xwrfn#rffmG~BxwtY~w???§t???~?}???u?{i|'}§?D}§~???tYu?}¦¡{??§??x?{G
¼
tYu?}?x?}t?u?}?{G~?rf}§x!r??{D??tYu?}g}0¹?z?fmG??m?t?rf{D??|«ug?1????l????l?}?~!|«u?m?td??{G??l?rt?rf{D??x!mG?tY~w??rfxWtYrf?'mG?D}§??tYx
mG~w}1}§?G{Df??tYrf{G??mG~w?%xWtEmG??f}G r¡6?t?u?}?xw}?n#{?l?}§fx?mG?tY~???rfx?nðrx§}§??l?{D?G}???{D??x¢mGx§mG??}§?G{Df??tYrf{G??mG~w?
z?m?twtY}§~??Ã????t·}0¹?{D?G}???{D??x%¡~w{Dn
t?u?}?z8{Drf??t%{G??qrf}0|±{G?mºx?r???Df}rf??l?r??qrfl???m?¦{D~%m?xwrf???D}
ñ
Ö`ã!×?ِú`ӁäPæ`áÚÙtåsã§×?àiØçò`áÚØÚÔ`ð!à?ØçÐ?Ø«à¤Ùwò?èÓá?ÐÒã?óYô£õ`é
ö

---

?D}§??}?~?m?tYr{D?w 
£?u?}?{?tYu?}§~1xwt?~YmG??lÞ{Gt?u?}?rt?}?~Ym©tY??~w}¤¡{q????x?}?x?{D?Þ~w}?z8}¦m?t?}?l?r??tY}?~?mG?§t?rf{D?®mGx?m??§f??}#tY{
????l?}?~?xWtEmG??lµt?u?}?}§ns}§~??D}§????}?{????{q{Dz8}?~Ym©tYrf{G?w a÷1£?u?}?xw}%mG~?}#tYu?}§{D~?r}?x?{G??{q{Dz}§~Ym?t?rf{D?ÞmG??l
??{Gt¢t?u?}?{G~?rf}§x?{Gm?tY~w??rfxwnëm???l¸ns{D~?mGfr?t6?·?}§?¦mG??xw}s}0?D}§~w?àmG?D}§??t¦vyxdn#{Gt?r??m?tYr{D?rx¢}??D{Grfxwt?rf?? 
ǧ}§????}?????{q{Dz8}?~Ym©tYrf{G??}?n#}?~w?D}?xmGxBm?~w??f}{?wmG?0tYr{D?w G£?u?}?rf??l?}0¯???r?tY}???1~w}?z8}¦m?t?}?l¤rf??t?}?~Ym??§tYr{D?
}???mG??f}§x!tYu?}«mG?D}???t?x­tY{¦¡{D~wn???fm?tY}'??{D??tYr???D}§?gt­xwtY~?m?tY}§?Drf}§x??©|«u?rf?Euu?}§fzxw{D?qrf???¢m?z?~?rx?{D??}?~?vyx
l?rf}?n#nsm1{D~?{Gt?u?}?~?t6?qz}§x§{?­??{q{Dz8}?~?m?tYr{D??z?~?{G??f}§nsx§ aø¦ù???}¢¡{??§??x«{G¨t?u?rfx«rtY}§~Ym?t???~?}¦rfx?{D?
tYu?}??§{D?D??r?tYr??D}z?~w}?~w}?°g??rfxwrt?}?xd¡{D~dl?r~?}??0tB{D~drf??l?rf~w}??§tB~w}??§rfz?~w{??§rt6?m?xdxwtY~?m?tY}§?Drf}§x­tY{?{i?D}§~???{Gns}
tYu?}d?§{?{Gz}§~Ym?t?rf{D?cmGrf??~w}G aú
£?u?rfx§z?mGz8}?~§u?mGx?m???rf??tY}§~?n#}?l?rfm?tY}?z8{Dx?r?tYr{D?w???8{GtYu|«r?tYu?~?}?xwz}§?§t?t?{?tYu?}1n#}§tYu?{?l?{Gf{D??´
rf??mG'mGz?z?~w{?mG?Eu?mGx1|'}??mGx1|«r?tYuº~?}§x?z8}??0ttY{?tYu?}z?u?}§??{Dn#}???m?tYu?m?tmG~w}tY{??8}?}0¹?z?fmGrf??}?l
????tYu?}%t?u?}?{G~w?D d¡6??l?r?qrfl???mGfrxwt?rf?st?u?}?{G~?rf}§x¤?¦mG?µ}0¹?z?fmGrf?µ?§}?~wtYmGrf?µz?u?}???{Dn#}???mà}§rtYu?}?~¤mGx#m
??{G??x?}§°q??}????§}?{GtYu?}n#{Gt?r??m?tYr{D?{?'t?u?}¤mG?D}§?gt?x?{D~?mGx?m???{D??x?}?°g??}§????}s{GtYu?}~w}?xwt?~?r?§tYr{D?
tYu?}sm??D}???t?cmG??}§x? £?u?}¤¯?~wxwtd??fmGx?x?{G'ns{ql?}§fx¦¡{q????xw}?xd{D??tYu?}¤n#{GtYr???m?tYr{D??{D~¢z?~w}§¡}§~?}?????}?x
{Gwt?u?}?m??D}???tYx§?q|«u?}?~?}?mGxgt?u?}¦xw}???{G??l??fmGx?x'{Gn#{?l?}?fxd¡{q????xw}?x'{D??tYu?}§~w??f}§xg{D~~?}§xwtY~wrf?0tYrf{G??x
{G?t?u?}?mG?D}§??tYx¤mGx1t?u?}}£¹?z??mG??m©tY{D~W?®??mG~wr?mG??}s{?«}?n#z?rf~wrf?¦m?z?m?t?t?}?~???x? !£?u?}?l?r?qrfl?rf????frf??}
?8}§t6|'}?}??à~?}§xwt?~?rf?0tYr{D??mG??l?n#{Gt?r??m?tYr{D?·rfx§t?{?x?{Dn#}?}£¹?t?}???làmG~w??rt?~YmG~W?·?}§?¦mG??xw}¤mGf)|'}?¦mG?
{D??xw}?~W?D}?rfx??}§u?m¦?qrf{D~m???lºm{Gt?{G«~w}?xWtY~?r?§t?rf{D??x1mG~?}srfn#z{Gx?x?r??f}t?{?ns}?mGx???~w}G?©}?xwz}§??r?m?f?
x?{q??rfmGd??{D~wnsx§ ¡6?®t?u?}s??mGx?}s{Gxw{??§r?mGd??{D~?n#x?rtdrfx?rfn#z8{Dx?xwrf??}1tY{·??fmGx?xwrp???8}?u?m¦?qrf{G~1mGx?m
~?}§x????t{G)~w}?xWtY~?r?§t?rf{D??x'{D~m?xm1~w}?x???t{?)ns{Gt?r??m?t?rf{D?#mGx'f{D???1mGx??{G?{ql??#??~?}?mG?gxgtYu?}???{D~wn
?8}??¦m???x?}#z{?tY}???t?r?mG­z?????rfxwu?n#}???t?mG~?}¤??{i|«u?}§~?}??§{?l?r¯?}§lw Ä?{D~?tYu?}sz???~?z8{Dx?}¤{G'tYu?rx¢z?mGz8}?~
tYu?}?¡{Df{f|«r???#l?}§¯???rtYr{D??rfx¦??x?}§lw )ûg{q{Dz}§~Ym?t?r?G}?}§u?m¦??r{D~¦t?u?m?t¢~w}?xwt?x¢{D?àmG????}£¹?z?frf?§rt¦{D~
rfn#z?rf??r?tdn#}??Eu?mG??rfx?nü{G}£¹qtY}?~w??mGwz?????rfxwu?n#}???trxm1~w}?x???t{?)~?}?xWtY~wrf?§t?rf{D??x???|«u?}?~w}¦mGx??§{?{Gz?´
}?~?m?tYr??D}??}§u?m¦?qrf{D~dtYu?m?t}0¹?rfxWtYx}§?D}§?rf?¤tYu?}§m???x?}§????}§{GmG?s}0¹?z?rf??r?tB{D~Brfn#z?fr??r?t!n#}??Eu?m???rfxwn
{G¨z?????rx?u?n#}???t?rfx«m~w}?x???t?{G¨ns{Gt?r??m?t?rf{D?w 
¡6?tYu?rxgn#{?l?}??|g}¦}0¹?z??m?rf???§{?{Gz}§~Ym?t?r?D}§?}§u?m¦?qrf{D~gmGxm1~w}?xw??tg{G©m?n#{D~Ym?8n#{Gt?r??m?tYr{D?w 
£?u?rxns{Gt?r??m?t?rf{D??rx??¨u?{i|g}0?D}?~§?'??{Gt¤}0¹?{D?D}§??{D??x#????t¤??mG???}?r?????}§????}§lR????tYu?}%mG?D}???t?x? 
ý
ó¦ÙÙ?þ?ú¦ÙÁáç×ÒãrÛ#Öbûw×0¢0¤?ØRӁԏÛgÐiÑ`ÙPáÚØïÐÒٍ׵ÓjÐÒè`×iÙ¹ã§Ô?ÐiÑ`Ù?֏ã§áÚÕ?ê¤Ñ`ٍã!×iÙÁäQ÷nàiè`äPä?Ӂ×ÒØçöÁÙÁÛ?åsã!×tٍú`ӁäPæ`áÚÙ¹ØÚÔ&֏èrÿ
ÛrÙÁÔ?ò?ٍ×Òð?ӁԏÛQê¤ØÚ×iã!áçÙ?Öëû?×0׏û?Ø?é
ÿ
ó¦ÙÙDßRØç×µàiÑ`áçÙÁØïåsÙÁ×BÖëû?×0×0×?Ø?åsã!×?ÓPܐá«Ó§àÒàbØ¡ ?܍ӁÐiØÚã§ÔQãå?ÛrØ£¢?ٍ×ÒٍÔ?Ð?ÐëÞ¦æ?ÙÁà¤ãå?ܐã¦ã!æ?ÙÁ×ÒӁÐiØÚã§Ô2æ×iã!ò`áçÙÁä?àé
¤
ó¦ÙÙBþRáçٍú`ӁԏÛrÙÁ×BÖëû?×0¢? 0Ø?é
ï

---

ǧ}§????}??g??{q{Dz}§~Ym?t?r?G}??}§u?m¦??r{D~B~?}§x????tYxd¡~?{Dn
mG?smGt?~???rxwtYr?gn#{GtYr??D}¦¥¨§©c??????tBtYu?rfxBmG?tY~??q´
rfxWtYr?¦n#{GtYr??D}?rx??~w}¦m?t?}?l%???}??G{DrfxWtYrf?¦mG?D}§?gt?x¦¥¨§ !¥?Gr?D}§?tYu?}?t?}??Eu???{Df{D?Grf?¦m??§{D??xwt?~YmGr??tYx
{G'tYu?}#}??§{D??{Dn1?G )£?u?}?n#{D~Ym?­l?rfxwz{Gx?rt?rf{D?t?ttYu?m©t?n#}¦m???xdt?u?}smG??rfrt6??tY{·??~?}?m?tY}sm?n1??tY??m?
??{G????}§~??w??rx?mGxwx???n#}?l?tY{?8}?}£¹?{G?D}???{G??x????Dr??D}??t??|«u?}§~?}¦m?x«t?u?}¢}0¹qt?}???l?tY{?|«u?rf?Eu%ns{G~YmGrt6?
?8}???{Gns}§xrfn#z{G~wtEm??gtB¡{D~'mG?0tY??mGl?}??§rfxwrf{D??x'rfxx?}§}??·mGxm??}???l?{D?D}???{D??x~w}¦mG?0tYrf{G??tY{1t?u?}¦}§??´
?qrf~w{D??n#}???t¦ ?¡6??t?u?rfx?xw}???xw}G?rns{G~YmGrt6?#{D~?mG?tY~w??rfxwnÓmG~w}¢x?????xwtYr?tY??t?}?x«¡{D~r??xwt?rtY??tYrf{G??xgr?%t?u?}
??mG~w~?{i|'}?~­xw}???xw}?frf??}gz?~w{Dz8}?~wt6??~?r?Du?tYx©|«rtYu?mGx?xw{??§r?m?t?}?l?fmi|µ}§??¡{D~w??}?n#}???t? G£?u?rx!u??qz{Gt?u?}?xwrfx
rfx?xw??z?z8{D~wt?}?l??g??tYu?}¢¡{Df{i|«rf???1{D??x?}§~w??m?t?rf{D??x§ ©ÌPm
£?u?}?~?}d}0¹?rxwtYx?mG?·rf??t?}?~?}§xwt?{G¨rf??l?r?qrfl??q´
Ð
mGxgrf?t?{Dz?r??xrf?G}§ns{G~YmGrt6?D??Ôw??xWtYr??}?}0tY?G ?¡I©t?u?}?xw}dmG?§t?x{G©??{Dn#n?????rf?¦m©tYrf{G?mG~w}?ns{G~?}§t?u?mG?
}???t?}?~wtYmGrf??ns}§?gtB{G~d~?}¦m?x?x???~YmG???§}G?gtYu?}§rf~dm?rfn
u?mGxdtY{??}t?{?rf?????}????§}§?8}?u?m¦?qrf{G~? rÌ¡?
ù???}«?¦mG?
Ð
{D??xw}?~W?D}?t?u?}?m?t?t?}?n#z?t«{G­xw{??§rf}0tYrf}§xtY{#??~w}¦m?t?}??§{Dnsn#{D????mGf??}?x«????tYu?}?}?l????¦m?t?rf{D?·xw?qxWtY}?n·?
tYu?}??Eug??~w?Eu?}?x§?w{D~«tYu?}?ns}§l?r?m? ?£?u?}?xw}mG?§t?r?qrt?rf}§x??§{D??xw??ns}?tYrns}dmG??l{Gt?u?}?~?~?}§x?{D??~w??}§x¢mG??l
tYu?}d°g??}§xwt?rf{D??mG~?rx?}§x|«ug?·m¤x?{q??r}§t6?|'{D??l%?}?rf??t?}?~?}§xwt?}?l·rf?%n?m??qr????tYu?}?x?}drf???G}?xwt?ns}§??tYx? 
³?{D~?mGfr?t6?Þ?8}??§{Dns}§x?rfn#z8{D~wtYmG??t?rf?ºxwrt???m?tYr{D??x?{G???{D???rf?§t? ­¡6?µm???{D???rf?0tw´I¡~w}?}xw{??§rf}0t6?
n#{D~YmGrt6?srfx?r~?~?}§f}0?Gm??gt? ?¡6??m¤??{G???rf?0t«tYu?}?l?rxwtY~wrf????tYrf{G??{G­?D{q{ql?x«mG??l?~?}?xw{D??~w??}?x?rfx«l?}0tY}§~W´
n#rf??}§là???¸z8{i|g}§~1mG??l®??{?t????¸?§{D??x?rl?}?~?m?tYr{D??x?mG?8{D??td{i?D}§~YmGd}§¬#??r}????0?D?©mG??làrtdr??l????§}?x
tYu?}?|gmGxwt?}§{?w~?}§x?{D??~???}§xgr?g?G}?xWtY}?l#tY{?mGz?z?~w{Dz?~wr?m?t?}§m???l#t?{?l?}§¡}???lmG??m?rf??xWtmGz?z?~w{Dz?~?rfm?tYr{D?w £"
£?u?}¢z?m?z}§~g????rfl?x'{D?tYu?rfxgrt?}?~Ym©tY??~w}?t?{?x?u?{i|«xt?u?m?t?G{Df????tYmG~w?srf???D}§xwt?ns}§?gt?x?rf??m?ns{D~?mG?´
rt6??¦mG?à~?}§l????§}#t?u?}¤}0¹qtY}§??l?{G'x????EuÞm???{D???rf?§td?????§~?}¦m©tYrf????m??®r?gt?~?r??x?r??ns{?tYr??m?t?rf{D??tY{
m¦?D{Drl%xwtY}?mGfr???#mG??l%?8}§tY~?m¦??mGP 
k¶~w}?fm?tY}§l?mGz?z?~?{?mG?EuàtYu?m©t1rxd??mGx?}§l?{D?Þ?§{D???r?§tdtYu?}§{D~w?¸rxdt?u?}#z?mGz8}?~d?g?ÞË¢~?{Dxwx?nsmG?
mG??l$#?rn
Ì
|«u?rf?Eu?mG??mG???ʧ}?x#tYu?}?~?}?fm?tYr{D??xwu?rfz??}0t6|g}§}???n#{D~Ym?frt6??mG??l?}§??{D??{Dnsr?
Ý
&%'%?ÀfÐ
z8}?~w¡{G~?nsmG????}? G¡6?tYu?rfx­z?m?z}§~!tYu?}?}£¹?{D?D}???{D??xdn#{D~YmGql?rx?z8{Dx?r?tYrf{G??}0¹?z?fmGrf??x©tYu?}?xWtY~w???§t???~?}«{G
tYu?}¢}?°g??rfrf??~wrf??nÆm???l??Eu?mG~?mG?§t?}?~?rÊ?}§x???{D??l?rtYr{D??x'????l?}§~|«u?rf?Eu%n#{D~YmG?n#{Gt?r??m?tY}§l?mG?D}§??tYx
mG~w}?~?}0|mG~wl?}?l?¡{D~#tYu?}§rf~sl?rfxwz{Dxwrt?rf{D?w B£?u?rx?z?m?z}§~?vyx???{D???§}?z?t{G?mÞ~?}0|mG~wlÃ{G?ns{G~YmGrt6?
rfxdl?r?²t}§~?}???t??}§?¦mG??x?}st?u?}m??D}???tYxd?D{D????tEmG~wrf???rf???G}?xwt?tY{???~?}?m?tY}?m?n???tY??mGB?§{D????}§~??w !ù???}
rf??t?}?~?}§xwt?rf??????{D??xw}?°g??}§????}?{GgtYu?rx?mGz?z?~?{?mG?Eu®rfx?tYu?m©t?rt?mGf{i|«x¢tY{?????l?}?~wxwtYmG??lºmn1??tY??m?
??{G????}§~???m?xtYu?}?~?}§x????t?{G!????l?}?~w?qrf???¤t?}??Eu???{Df{D?Grf?¦m?cmG?0tY{D~wx? 
ßÞ}§l?}?~wr?G}¦tYu?~w}?}§n?mGr?s~w}?xw??t?x? ?Ä!rf~wxwt|g}?xwu?{i|?tYu?m©trf??rtYrfmGf??d}??D{Drxwt?rf?§mG?D}???t?xgu?m¦?D}¦rf?
cmG?0t«mG?r????}§?gt?r?G}¦tY{?§~?}¦m©tY}¢m?n???tY??mG8??{G????}§~??%rwt?u?}?}§??¡{D~??§}?n#}???t«{G)z?~w{Dz8}?~wt6?s~?r?Du?tYxrx
(
ó¦ÙÙ ât×Òã!àÒàiäPÓ§Ô?ÖfÚ£Û0ۏû?ؐ÷¦ßRØç×µàiÑ`áçÙÁØïåsÙÁ×BÖëû?×0ק¥§Ø?÷`ӧԏÛQórÕyÓ§æ?ÙÁ×ÒۏӧàdÖëû?×0×?Ú0ØgӁäPã§Ô`ðuãÐÒÑ`ٍ׵àÁé
)

---

??{GxwtY??D ?£?u?}?mGn#{D????t{G)~w}?xw{D??~??§}?x«rf???G}?xwt?}?l%rf?stYu?}¢?§~?}¦m©tYrf{G?{G)n#{D~YmGrt6?¤l?}§z}§??l?x?{D?t?u?}
tY}§?Eu???{D{D?G?#{G)z?~w{?l????§t?rf{D??mGxg|'}?fmGx{G??tYu?}?tY}§?Eu???{D{D?G?s{G)mGz?z?~?{Dz?~wr?m?t?rf{D?smG??l???{D???rf?§t? 
ǧ}§????}??wx?}§??{D??l¸|'}?xwu?{i|èt?u?m?t¦t?u?}?r?g?G}?xWtYn#}???tYx¢r?n#{D~YmGrt6?%m?~?}?r????~w}¦mGxwrf???srf?t?u?}?z?~w{?´
l????0tYr???r?t6??{Grt?u?}«}???{G??{Dn1?G?G|«u?rf?Eu¤rnsz?rf}§x¨tYu?m?t102¥!¥3456©7 384@9BAC¨ns{D~w}z?~w{?l????§tYr??D}«~?}§?Drf{G??x
u?m¦?D}m¦xwt?~?{D???G}?~­n???tY??mGq??{G????}§~??w ?£?u?rf~wlw??n#{D~?mGfr?t6?¢?}§??{Dn#}?x¨ns{Gxwt­rnsz8{D~WtEmG??t©r?t?u?}?mG??rf?´
rt?rf}§xgtY{¤mGz?z?~?{Dz?~?r?m©tY}¢mG??l·t?{l?}§¡}§??lm?~?}¢~?}§?m?t?r?G}??s}?°g??m?4 D©}?~?u?mGz?x«ns{Gxwt«x???~?z?~wrfx?r???D??sr?t
?¦m???8}dxwu?{i|«?tYu?m?t«tYu?}?rf???G}?xwt?ns}§??tYx¦r?m¤n???t???mGw?§{D???§}?~???mG~?}?l?}§??~?}?mGx?r????r?!l?}§¡}???x?}1rx
?8}???{Gnsr????rf????~?}?mGx?r???D??1l?r?¬#?????t¦ DÇ?}????§}G??n#{D~Ym?frt6?drxdm¢?D{?{ql?xw????xwt?rt???tY}?¡{D~­{?tYu?}§~dns}?mG??x
{G¨}???¡{G~???}§ns}§??t§{G???s¡{D~?x?z8}??§r¯??d??{D???rf?0t?tY}??Eu???{Df{G?Drf}§x? 
£?u?}dz?mGz8}?~«z?~?{q??}§}?l?x§mGx?¡{Df{i|«x? ?¡6??o?}§?§t?rf{D?
|g}dz?~?}§x?}§?gt?tYu?}dn#{ql?}?m???l·t?u?}???mGxwrf?
Ý
}?°g??rfr??~?r??n
??{D??l?rt?rf{D??x§ ¨¡6??oq}??§t?rf{D?
 
|'}??Eu?mG~?mG?§t?}?~wrfÊ?}stYu?}?}§°q??rffr??~?r??në¡{D~?m?Dr?G}??
Ý
À
n#{D~YmGrt6?G?GmG??lsr??oq}??§t?rf{D?
 
|g}??Eu?mG~?mG?§t?}?~wrfÊ?}?t?u?}«}?°g??rfrf??~wrf??n
|«r?tYu¤}???l?{D?D}???{D??xns{D~?mG?´
Ý
Ý
rt6?G ro?}§?§tYr{D?
?§{D???§f??l?}§x? 
ö
E
FHGPIRQ
#"PITS
ûg{D??xwrfl?}§~?mG??}§??{D??{Dn1??z8{Dz???fm?tY}§l????t6|'{?Ì¡~?}§z?~?}§x?}???tYm?tYr??D}1xwn?m?f
}??§{D??{Dn#rf??mG?G}???tYxVUXW
Ð
é
'Y£æq ¡`¦³mG~w?G}§t?x§r?·t?u?rfx?}§??{D??{Dn1?·mG~w}d??{Gt?rf??r?tYr?m?f?¤}§??x???~?}?lmG??l·??{DxWtY}?x?xw?%rnsz?}?n#}???tY}§l
????t§mG~w}¢??~w}¦m?t?}?l???t?u?}dmG?D}§?gt?x? 
ßÞ}§mGxwx???n#}?t?u?m?t}¦m??EumG?D}§??t'rxB}???l?{i|'}?l?|«r?tYubadcfeTé'Y8gih­????r?tYxB{G8tYrns}t?u?m?tu?}??¦mG?
??xw}g¡{D~¨¯??D}l?r?²t}§~?}§?gtdmG?§t?r?qrt?rf}?x§ fk¦?D}§?gtpUt??xw}?xBm¦°g??mG??t?rt6?¦qsr?t?{?z?~?{ql????§}?mÌ¡z?~?r??Gm©tY}
?D{q{?lt?
Ð
r
4 £¨{?tEmGBz?~w{?l????§tYr{D?®mG??l®t?u?}#z?~?{ql????0tYrf{G?à¡?????§tYr{D?®mG~?}¤l?}§??{GtY}§l????
ruWwvbxyqsr?hWwq??
?
??
t
t
c?xy?7Y¦éh0 ?£?u?}?z?m?~YmGn#}§t?}?~
n#}¦m?x???~w}?x«tYu?}???m?t???~Ym?wz?~?{ql????0tYr???r?t6?{G©tYu?}d}§??{D??{Dn1?D 
?
?
k¦?D}§??tU?¦mG?àmGx?{?t?~w?·tY{%mGz?z?~?{Dz?~?r?m©tY}?t?u?}?D{q{?lz?~?{ql????§}?l¸???tYu?}?{GtYu?}?~¢mG?G}???t¦ tß®}
l?}§??{GtY}??????'rtYu?}?m?ns{D???gt{G¨t?rfn#}¦l?}0?D{Gt?}?l·tY{¤mGz?z?~?{Dz?~wr?m?t?rf{D?t 7#¢??{i|«rf???¤t?u?m?t?t?u?}¢{GtYu?}?~
mG?D}§??t!|«rf?tY~w??t?{?mGz?z?~?{Dz?~wr?m?t?}t?u?}?D{q{qlw?fmG?D}§?gtpUt?¦m??mGfxw{¦l?}0¡}???l¤m???mGrf??xwt¨mGz?z?~w{Dz?~wr?m?t?rf{D?w 
r
rfx?tYu?}smGn#{D????t?{Gt?rfn#}l?}§?G{GtY}§lÞtY{%tYu?}#l?}0¡}???xw}?{Ggu?rfxdz{Gx?x?}§x?xwrf{D?w )¡6?ÞmGl?l?r?tYrf{G?¸t?u?}

mG?D}§??tYx­??mG??Eu?{q{Dx?}gt?{??8}rfl?}gm???l??{D??x???n#}???r?????rt?x!{G?t?rfn#}gm?x­f}§rfx???~?}G ©£?u?}fmGxwt­mG?§t?r?qrt6?
?
ê¤Ñ`ÙDÓ§àÒàiè`äPærÐiØÚã§Ô¤ÐiяӁÐ?ò?ã§ÐiсӁð!ٍÔ?ÐÒà¤Ó§×iÙàiäPÓ§áçánäPÙ?Ӂԏà5ÐÒяÓjÐ?ÐÒÑ`ٍÞ2Ði×ÒÙÁÓjÐ?æ`×ÒثܐÙÁà?Ó!à¤æÓ×µÓäPٍÐiٍ׵àÁé
Ï

---

rfxt?u?}?rf???D}§xwt?ns}§?gt§{GX?r©????rt?x?{G©tYrfn#}?r?%t?u?}?}?xWtEmG??rfxwu?ns}§??t«{G­m¤n#{D~YmGrt6?G qß®}?l?}???{?tY}
?
?????r?W??dqerfY
rfYg?CrhY8??rhYg?rhig?7UjWÅé'Y£æ???m???lk?W??d?
Yg?mlBi?tYu?}¢?D}§?§t?{D~«{G!l?}???rx?r{D???Gm?~?r?m???f}§x? 

k
?§~????§r?mGgz?mG~wt#{G§tYu?rx¤ns{ql?}?grfxtYu?}%|gmi?ºt?u?}·??{D???§}?z?ts{G?màn#{D~Ym?l?rfxwz{Gx?rt?rf{D?ºrx
{Dz8}?~?m?tYr{D??mGrfÊ?}§lw rßÞ}¤l?}0¯???}smonpd3¨ qsr 45!©4?@4hd·mGx?tYu?}#n#}???tYmGBmG??rfrt6?%t?{·l?}§?D}§f{Dz®mG?
m¦|m?~?}???}?x?x1mG??là??{D????}?~w?Þm??{D??tdt?u?}¤}§²}??0tYxd{Gg{G??}Gvyx??8}?u?mi?qr{D~¢??z8{D?®{?tYu?}§~¢rf??l?r??qrfl???m?fx? 
k????§{D~?l?rf???D??D??m??·r??l?r???rl???mG8rfxtnpd3¨ qgr©r?t???x?}§x§r?tYxn#{D~?mGtl?rx?z8{Dx?r?tYr{D??tY{¤r?gt?}?~w??mGfrÊ?}¦t?u?}
}§²}??0tYx¢{GBr?tYx§?}§u?m¦??r{D~¦??z{D?{GtYu?}§~?rf??l?r?qrfl???mGfx?t?{?m???}§~wtYmGrf??l?}??D~w}?}¤mG??l?tY{??Eu?mG???D}?rt?x
?8}?u?m¦?qrf{D~¦mG???§{D~?l?rf???D??D TÂ@u§ß®}1l?}§??{Gt?}????wv?tYu?}?z?mG~?mGns}0tY}§~?t?u?m?t?n#}¦m?x???~w}?x¦t?u?}1l?}§?D~?}§}?{G
rf??t?}?~???mGfrÊ¦m?t?rf{D?w?q{D~?n#{D~Ym?frt6?G 
¡6?{D~wl?}?~?t?{?l?}0¯???}?tYu?}drf??l?r?qrfl???mGw{D?qÔw}§?§t?r?D}?¡?????0tYr{D??x?|g}?l?rfxWtYr???D??rx?u??8}§t6|'}?}???t?u?}
l?r~?}??0t??t?rffr?t6??¡?????0tYrf{G?ºmG??l?t?u?}?rf??l?r?qrfl???mGfrxwtYr??|g}§cmG~w}?¡?????0tYr{D??{G«tYu?}rf??l?r?qrfl???mG4 TÂ6Â
?
l
£?u?}?l?rf~w}??§t¦??tYrfr?t6??¡?????0tYr{D?rx§l?}0¯???}§l?{D??§{D??x???nsz?t?rf{D?t?yx
?
yx
?tmG??lf}§rfxw??~?}??z?r6?8mG??l?rx
r
r
u?{Dn#{Gt?u?}§t?rf?G?
?
?
l
l
ryW
xyx
Y2x
Y8??r?hsW|x
x
??rfY
UXWèé'YEæ?
Ì
ÀfÐ
r
r
ru}
r~}
{
{
Ë¢r?D}§??t?u?}·z?mG~Ym?ns}0tY}?~¤{G¦n???t???mG???{G????}§~??w?~vi?dtYu?}·rf??l?r?qrfl???mGfrxwtYr?s|'}??cmG~?}?¡?????0tYr{D??rx
l?}0¯???}?l?{D?%?{?tYu·rf??l?r??qrfl???m?fx?vql?r~?}??0t«??tYrfr?t6?s¡?????§tYr{D??x«mG??lmGxwx???n#}?l%tY{¤?8}???tYrfrtYmG~?rfmG?w?
?
?
?
?
l
l
l
l
rzW
r!xyx
Y2x
Y8?rfY2x
Y2x
Y8?
Y2vhsW|x
x
??r???vdxyx
x
?
hY
UXWèé'Y£æ?
Ì


ÝDÐ
r
r
r?}
r~}
}
}
?
?
?
?
?
?
£?u?rx¤¡{G~?n???fm?tYr{D??{G§n???t???mG?§{D???§}?~???rfxxWtY~????§tY??mGf???}?°g??r???mGf}§?gt¤t?{®Ç§mGn#rft?{D?wvyxî«??f}??
|«u?}§~?}?v?z??m¦?qx¤tY{¸~?{D}?{G¦t?u?}%~?}§?m?t?}?l???}§x?x#z?mG~?mGns}0tY}§~ì?l?}§¯???}?lRr?ºtYu?}·rf??tY~w{?l????§t?rf{D?w 
£?u?}¢l?r?²t}§~?}§????}¢?8}§t6|'}?}§??8{GtYu?n#{?l?}?fx'rfxgt?u?m?t?ì?l?}?z8}???l?x«{D???D}???}§tYr?¢~?}§?m?t?}?l???}§x?x«mG??l·rx
}0¹?{D?G}???{D??x)¡~w{DnÒt?u?}dz8{Drf??t{Gq?qrf}0|Þ{Ggt?u?}Brf??l?r??qrfl???m?4?E|«u?}?~w}¦mGx?v!??mG???}dr?????}§????}§l?????t?u?}
rf??l?r?qrfl???mGfx§ wÇ?rf~?xwu?f}§r¡}§~¤Ì
?Dr??D}?x?mG?®mGt?}?~w??m?tYr??D}r?gt?}?~wz?~?}0tEm?t?rf{D?¸{GtYu?}#z?mG~?mGn#}§tY}§~
ÀiÍGÎC)DÐ
v
i )¡6?Þu?rxd?§{D???§}?z?t?rf{D?w??v1n#}¦m?x???~w}?x?t?u?}#??mG?m?????}¤{Ggz{i|'}?~d?}0t6|g}§}??ºmG?ÞmGt?~???rxwt?rf?mG??l?m
?
?
x?}§¯?xwu?z8}?~wx?{D??mGfr?t6?D ?£©{s?8}¢n#{D~?}¢xwz}§??r¯???|'}?mGx?xw??ns}¢t?u?m?tVvTW?vdx??
Yg?Pl8hsW|?
?Pli eÂcÈ
}
Õ
??
ê¤Ñ`Ø«àuÛ`Ù? Ô`ØçÐiØÚã§Ô?ãåtÓgäPã§×µÓá¤ÛrØ«àbæ?ã!àiØçÐiØÚã§Ô? ÐÒà¹ÐiÑ`ÙQæ`è`×Òæ?ã!àiÙ¤ã§å?ÐiÑ`Ø«àuæÓæ?ٍ×uÐÒã&ÛrÙÁî§ÙÁáçã!æÓ?ÐÒÑ`ٍã!×iÞ@ã§å
ä?Ӂ×ÒէٍÐ?Ði׵ӁԏàÒӧܐÐiØÚã§Ôà¤àiè`æ`æ?ã§×iÐiÙÁÛ?ò¦Þ¤äuã!×ÒÓ§áçØçÐëÞ2ӧԏÛ?Ô`ãÐ?ã!èrÐÒàiØ«ÛrÙDٍÔ`åsã§×µÜÙäPÙÁÔ!Ð?é©þEäPã§×ÒÙ"ð§ÙÁÔ`ٍ׵Ӂá~܍ã§ÔÜÙ×ÒÔ
åsã§×?ÐiÑ`ÙRìgÙÁáçá?ò?ÙÁØçÔ`ð ãånãÐÒÑ`ٍ×gØçԏÛ`Øçî¦Ø«ÛrèÓá«à?ä?ÓyÞuِúrØÚàbÐ?ò`è`Ð?ØÚà?Ô`ãÐg×iÙÁáçÙÁîyÓ§Ô?ÐWåsã§×?ÐÒÑ`Ø«à?æÓ§æ?ÙÁ×ÁéWáçÙ?Ó§àiÙ?Ô`ã§ÐiÙ?ÐÒяÓjÐ
ÐiяÙDÛrØÚàbÐiØÚԏܐÐiØÚã§Ô?ò?ٍÐëìgÙÁٍÔ?ÛrØ¡¢?ÙÁ×iÙÁÔ!Ð?ÐëÞ¦æ?ÙÁà¤ã§åäPã§×µÓán܍ã§ÔÜÙ×Òԏà?Ӂ×ÒÙdØÚ×Ò×iÙÁáçÙÁîyÓ§Ô?ФØÚÔ?ÓuÐëìgã§ÿÓ§ð§ÙÔ?Ð5ÙÁܐã!Ô`ã§ä¹Þ§é
ÕPÕ
ó¦ÙÙ¤ßRÓ§×ÒàÒӁԦަةÖbûwק¥§¥0Ønӧԏ۠ñ?ã?ÙÁäPٍ×Öbûwקקþ§Ø?åsã§×?ÓRÛrØ«ài܍èàÒàbØÚã§ÔDã§årÐiÑ`٤ܐã!ԏܐÙÁærАã§å`ØçÔ?ÛrØçî¦Ø«ÛrèÓ§áçØ«àëÐÒØÚÜ?ìgÙÁáïå¥Ó§×iÙ
åsè`ԏܐÐiØÚã§ÔàÁé
Õ¡Ù
þ
àiØçäPæ`áÚÙ?ِú¦ÐÒٍԏàiØçã!Ô¹ã§å?ÐiÑ`Ø«à?äPãrÛrٍá?ØçÔuÐiяÙ?åsã§×Òä????2????g?y?1??@?8??ì5ã§è`á«ÛPӁáÚáçãjìÐiãØÚԏܐã!×iæ?ã§×µÓjÐÒÙ5ò?ãÐÒÑ~÷
ä

---

£?u?}rx?{?´I}?fmGxwt?rf?¡{D~wn????m©tYrf{G?º~?}§?}??§t?xst6|'{?z?fmG??x?r??f}?z?~?{Dz8}?~WtYrf}§xs{?¦tYu?}??~w}¦m?t?rf{D??{G
n#{D~YmGrt6?G DÄ!r~?xwt??DtYu?}???~w}¦m?t?rf{D?#{Gwmdn#{D~Ym????{D????}?~w??¦m???{D?????8}§xw?????§}?x?xW¡??tr?t?8{Gt?umG?D}§??tYx
???
?
z?mG~WtYr??rfz?m?tY}??p?
?7Y??Pl
?
? 'o?}§??{D??lw?dtYu?}·??~w}¦m?t?rf{D??{G?n1??tY??m????{D???§}?~w?Rrfx¤}?mGx?r}?~¤r
?
?
?
?8{GtYuÞmG?D}???t?x1rf???G}?xwtm?n#{D~?}#}?°g??mG'mGn#{D????t?{GtYrns}???vdxh?
Y?xWét?? h¡?Plh
vdx@?
Yg?Pl8h£?
?¤£
¢cfx@?7Y¦é?h£?7?
W|?Pli ?£?u?}§x?}dz?~?{Dz8}?~WtYr}?x?~?}0?}??0t«tYu?}¢rl?}¦m?tYu?m?ttYu?}d?§~?}?m?tYr{D??{G!m¤n1??tY??m?
??{G????}§~??·rfx?m??§{?{Dz8}?~?m?tYr??D}¢m??§t«rf?stYu?}¢xw}???xw}dt?u?m?tt?u?}?mG?D}§?gt?x«mG~?}¢n#{D~w}?x????§??}§x?xw¡??©r?tYu?}0?
?8}?u?m¦?D}?xwrfn#rffmG~???D ­£?u?}rf???D}§xwtYn#}???t%r??tYu?rfx??§{Dn#n?????r?¦m?t?rf{D??z?~?{q??}§x?x?rxs?D{Gf????tEm?~w??¡{D~
?8{GtYuºm??D}???tYx§ !£?u?}???~?}?m?tYr{D??{G?m?n???tY??mG'?§{D???§}?~??ºrx1r?®tYu?}?rf~?{i|«?ºrf??tY}§~?}?xWt¦?¨{GtYu?}§~w|«rx?}
tYu?}§?d|«rff???{GtdmG?0t¦ ©¡6?Ǧm?nsrtY{G?wvaxt?u?}?{D~W?d{D??~!n#{ql?}?grfn#z?rf}?xt?u?m?t©tYu?}gmG?D}???t?x­?¦mG?1l?}§?qr?m©tY}
¡~?{Gn
tYu?}àl?}§?D~?}§}Þ{G1n???tY??mG¢??{D????}?~w?¿z?~w}?l?}0tY}?~wnsr??}?lÒ???Ã?D}???}0tYr?®~w}??m©tY}?l???}?xwx? ¥§x?r???
ǧr~?xwu?f}§r¡}?~§vax«r?gt?}?~wz?~?}0tEm?t?rf{D?·{D??~?ns{ql?}§)mGx?xw??ns}§x§t?u?m?t?tYu?}d??mGfmG????}d?8}§t6|'}?}???t?u?}1xw}??¯?x?u
mG??làtYu?}?mGt?~???rxwt?rf??z8}?~wx?{D??m?frt6???¦mG???8}#?Eu?mG???D}§l?rf?¸cm¦?D{D~d{Gt?u?}smGt?~???rxwtYr??t6?qz}srgt?u?}
rf??l?r?qrfl???mGfx'rf???§~?}?mGx?}¢tYu?}?m?ns{D???gt«{?!~w}?x?{G??~??§}?x?l?}§?G{GtY}§ltY{tYu?}d?§~?}?m?tYr{D?%{G!n#{D~?mGfr?t6?D 
ßÞ}¢l?}???{Gt?}¢???p¦r?cfe§?7Y¦éB¨8tYu?}?¡~?mG?§t?rf{D??{G©?D{?{qlpU­t?u?m?t???mG???8}?x????§??}§x?xw¡??f?l?}§¡}§??l?}?l
mG??m?rf??xWt¢tYu?}#mGz?z?~?{Dz?~wr?m?t?rf{D??{??mG?D}§??t1©??g?àm??D}???tªU? TÂcÉ?ß®}#mGx?xw??ns}¤tYu?m?t¢tYu?rx¢¡~YmG?0tYrf{G?àrx
l?}0tY}?~wnsr??}?l%????tYu?}d£©??f{q?E?s?§{D??tY}?xWtw´Ix????§??}?xwx¦¡?????0tYr{D?w?
é
¦rzW?¦r?x
rfY2?
Y2« h~W
Y
«®cfxy??Y8gih
Ì

ö?Ð
?
é
??¬« ?
r

?m­
«
?rfx¤m¸z?mG~?mGns}0tY}§~?tYu?m?t#?Eu?m?~YmG?0tY}?~wrfʧ}?xtYu?}%tY}§?Eu???{D{D?G?º{?¦?§{D???r?§t¦ s¯)mG~w?D}?~???mG??}?x¤{G1«
02¥!¥345T©7 384@9BACr????~w}¦mGxw}¢tYu?}¢¡~Ym??§tYr{D??{G©tYu?}??D{q{qltYu?m?t?rx«mGz?z?~w{Dz?~?rfm?tY}§lw?
°±¦r
?
r

?B­
W??
ê
i??
l
° «
x
Wéu??« ?
r?h

?m­
kt?tYu?}¢xYmGn#}¦tYrns}???mfmG~??D}§~'??mG??}?{GX«?nsmi?sl?}£´B{D~?rf????~?}?mGx?}§tYu?}¢nsmG~??Grf??mG8}§²}??0tYr??D}???}?x?x
ßRÓ§äPØçáçÐiã!Ô³²
à5Ӂææ`×iã?ӧܵÑӧԏÛPÐiяÙdØ«ÛrÙÁÓ ÐiÑ?ÓjÐ?ÐÒÑ`ÙtØçԏÛ`Øçî¦Ø«ÛrèÓá«à¤ÜÓ§ÔØçÔ?´è`ٍÔ?ܐÙdÐiÑ`ÙÁØç×5ä èrÐÒèÓán܍ã§ÔÜÙ×ÒÔ?Ðiãuàbã!äuÙ
ِú¦ÐÒٍԏÛnéÏvÔ?àièÜµÑ?ÓuäuãrÛrÙÁá
÷
d? ì5ã§è`á«Û¤Ü×iÙ?ÓjÐÒÙ"Óµ
áçÙÁî§ÙÁás²rÙ¡¢?Ù?Ü?ÐÁé
Õ¡Ü
ê¤Ñ`Ø«à?åsã!×iä¹è`á«ÓjÐiØÚã§Ô?ã§å~ÐiяÙRæ`×Òã§ò`áÚٍä
ØÚäPæ`áçØÚÙÁàgÐÒяÓjÐgÐiÑ`Ù"Ӂò`ØÚáÚØïÐëÞuÐiãPӁææ`×iã!æ`×ÒØÚӁÐiÙ?ã§×¤ÛrٍåsٍԏÛ2ØÚàgØçÔ?´è`ٍÔ?ܐÙÁÛ
ò¦ÞtÐiÑ`ÙgØçÔ`ØçÐiثӁá¦æ`×ÒãrÛrèÜÐiØÚã§ÔDã§årÐiÑ`Ù5Ӂð§ÙÁÔ?ÐÒàÁéÏvԹ܍ã§Ô?Ði×µÓ§àbÐ~ÐÒã?ÐiяÙg܍Ó!àbÙgì?Ñ`ٍ×ÒÙ?ÐÒÑ`Ùgæ×iãrÛrèÜÐiØÚã§ÔDÑ?Ó§à~ԏãRØÚÔ´è`ÙÁԏܐÙ
ã§Ô ÐiÑ`Ù¤æ?ã!àiØïÐÒØçã!Ô¹ã§å`ÐiяÙ5ØÚԏÛrØÚî¦ØÚÛ`èÓá«àØçÔ¹ÐiÑ`Ù?܍ã§Ô?ÐiÙ?àëÐÖsì?Ñ`ثܵÑuØÚà?ÜÁӁáÚáçÙ?Û
ò?Þ ât×Òã!àÒàiäPÓ§Ô
bICEQgQC£Ad¶
y©CwC£`YyGH4C0VW`aUQ
֐Ú0Û0ۏû?ØcØgØçÐ?ä?ӁէÙ?à¤àbÙÁԏàbÙtÐÒãuÑ?Óyî§Ù"ò?ã§ÐiÑ~÷?Ӂæ`æ`×Òã§æ×iØ«ÓjÐÒØçã!Ô2ӁԏۤÐÒ×ÒÓ!ÛrÙ"ì?ØïÐÒÑ?àièÜµÑ?ÓuäuãrÛrÙÁáxàiِÐièæ~é
Î

---

{G!mGz?z?~w{Dz?~wr?m?t?r?D}?mGx?|g}§f)mGx«l?}0¡}???xwr?D}?mG?0tYr?qr?tYrf}§x???l?}?z8}???l?rf???#{D??tYu?}?xwrf?D?%{G·xy«&?
?
r?h0?

?
l
°
¦r
?
x@« ?
?
r?h

?
?
W
Y
°
r?°¸«
x
r???« ?
h?¹


?
l
°
¦r
r!x
r¸?f«&?
h


?
W

¹
°¸?
°¸«
x
r??¬«&?
h

?
?
£?u?}«z?~w}?x?}§????}?{GrtYu?}?z{Dxwx?r??rfrt6??tY{?mGz?z?~?{Dz?~?r?m©tY}?D{q{ql?x­l?{q}?xB??{Gt­~???}?{D??t­t?u?}?z{Gx?x?r??rfrt6?
{G§~?}§?D???m?~}0¹??Eu?mG???G}G B£?qz?r?¦mG?G?­?{?tYu?mG?§t?r?qrt?rf}§x??¨t?~YmGl?}?m???lºtYu?}0pt¦?­|«rfg?§{?}£¹?rxwt? d¡Itsrx
°g??}?xWtYr{D?®{?'t?u?}{Dz?z8{D~wt?????r?t6????{GxwtYx?|«u?}0tYu?}§~dr?t?rfx¢n#{D~?}?m?t?t?~YmG?0tYr?G}?tY{%?????¸{G~?tY{%xwt?}¦mGP 
ù???~¤ns{ql?}§??¦mGz?t???~?}§x#t?u?rfx¤{D??x?}?~W??m?tYr{D?????µtYu?}%¡{Gff{i|«r????x?}§°q??}???tYrfmG«xwtY~w???§t???~?}?{G¦t?u?}
??mGn#}Gª
oqtYmG?D}
ª«kt¦xwtEm??D}é1t?u?}?mG?G}???tYx¢m?ff{q?¦m©tY}sÌc??{G??´6?§{?{Dz8}?~?m?tYr??D}§?
t?u?}?r~?t?rfn#}?????l??D}0t?tY{s??{Dn´
À
Ð
n?????rf??m?tYr{D?w?©z?~?{ql????0tYr?G}G?­l?}§¡}???x?r?G}G?BmG??l?m?z?z?~?{Gz?~?rfm?tYr??D}m??§tYr??qrtYr}?x1mGx?|g}§f?m?x?tY{
?
?
}?rfxw??~?}? ?£?u?rx?l?}§¯???}§x?mz?~wrfnsmG~w??l?rfxWtY~?r????t?rf{D??{G©tYu?}dz?~?r??m?t?}¢?D{q{?l?x§?¸ºHWH?dº
x@? h£?
?
?
?
l
l
l
?
?
?
?
º
? xy?&h0?bº
x@? h£?»º
xy?&h8iâ|«rtYuwº
?¼W
¦
?
pº
W
x
éw?½¦
h
?
bº
W
¦¸l
l
¦?
l
l
l
l
t
t
t
l
º
?bW¾xét?d¦¸lh
l
¦?|«u?}?~w}?x?????x??§~?rfz?tYx1{G?®??mG~?rfmG??}?x¢l?}§??{GtY}#tYu?}smG?D}§??t?mG??lÞx???z}§~W´
t
xw??~?rz?tYx«l?}§??{Gt?}?t?u?}??D{q{?lw 
oqtYmG?D}
ª«kt¦xwtEm??D}¤æ¤t?u?}mG?G}???tYx???mG?t?~YmGl?}dtYu?}§rf~§}???l?{i|«n#}???t¢????l?}?~??§{D??l?r?tYr{D??x?{GBz}§~w¡}§?§t
Ý
?§{Dnsz8}§t?rt?rf{D?¸Ì¡r4 y}G ??8{Gt?u?m??D}???tYx«tEm??G}?z?~?r??}§x§m?x?z?mG~Ym?ns}0tY}?~wx
 
Ð
£?u?}???mGn#}¢rfx?xw{D?G}?l·???%??mG?E??|m?~?lr??l????0tYr{D?w 
kt?xwtYmG?D}
?8{Gt?u?mG?D}§??tYx§tYmG?G}?mGx§?Dr?G}???t?u?}d{D??tY?§{Dn#}d{?­tYu?}d??{G?gt?}?xWt¢m?t§xwtYmG?D}
¿yÀÁ±Â¸ÃÅÄ?Æ
Ý
?
?
l
l
?
?
éD tѦ}???{?tY}???ÇxªW½?dx
Y2x
Y2x
Y2x
i
¤tYu?}1¯???mG!?§{D??xw??nsz?tYrf{G??f}§?G}?x¢mG??l????pȱl?t?u?}?~w}??m©tYr?G}
l
l
z?~wrf??}?{?w?D{q{?l#æ?r?¤t?}?~wnsxB{G?D{q{?l?éD ?£?u?}§m??D}???tYxBnsm©¹?rfn#rfʧ}gtYu?}§rf~dr??l?r?qrl???mGrfxwt?rf?d|'}?cm?~?}
?
l
¡í
¡?????0tYr{D?%?g??tYu?}??Eu?{Dr??}?{Gjx
Ygx
ª
r
r
?
?
?
?
l
l
l
l
r!xyx
Y2x
Y8?rfY2x
Y2x
Y8?
Y2vh
Ñ'£Ò8Óx
?oÈlgx
W|º
?oȱl2º

Ì

ïgÐ
r
r
r
r
r
r
ÉbÊdË
?
?
?
ÌfÍ
Ì@Ð
Î?Ï
Î
ñ
Õ
êxÙ?ܵÑ`Ô`ث܍ӧáçáÚÞ?ØïÐ?ä?ӁÕ!ÙÁàgÔ`ãPÛrØ£¢?ٍ×ÒٍÔ?ܐÙtì?Ñ`ِÐÒÑ`ٍפì5ÙtÓ!àiàiè`äPÙRÐÒяÓjÐ5ÐiяÙ"Ó§ð§ÙÁÔ!еà?ä?Ӂú¦ØÚäPØçöÁÙRÐÒÑ`ٍØÚפØçÔ?ÛrØçî¦Ø«Û¦ÿ
èÓ§áçØ«àëÐÒØÚÜ?ìgÙÁáïå¥Ó§×iÙ¤åsè`Ô?Ü?ÐiØÚã§Ô?à?ã!×?ÐiÑ`ÙÁØç×gèrÐiØÚáÚØïÐëÞuåsè`ԏܐÐiØÚã§ÔàÁ÷ÐÒÑ`Ù¨¨gӁ׵àbяӧáçáÚثӁÔPÛrٍä?ӁÔ?ÛPåsè`ԏܐÐiØÚã§ÔàgӁ×ÒÙ¤ÐiÑ`ÙtàiÓ§äuÙ
åsã§×?ÐiÑ`Ù àÒӁäPÙDàbÐi×ÒèÜ?ÐÒè`×ÒÙãå?äPÓ§×iÕ!ِеàé`ßRãjìgÙÁî§Ù×?÷¦ås×Òã§äGÓPԏã§×ÒäPӁÐiØÚî§Ù"æ?ã§ØÚÔ!Ðdãå?î?ØÚٍì¬ØçÐRä?ӁէÙ?à?ÓÛrØ¡¢?ÙÁ×iÙÁԏܐÙ
ì?Ñ`ٍÐiÑ`ÙÁ×?ÐiÑ`ÙØÚԏÛrØÚî¦ØÚÛ`èÓá«à?ٍîjÓ§áçèÓÐiÙtÐiяٍØÚ×?ä?Ӂ×ÒէِÐ?ܵÑ`ã!ØÚ܍ÙÁà¤ì?ØçÐiÑ?ÐiяٍØÚ×?ìgÙÁáïå¥Ó§×iÙ"ã§×¤ÐÒÑ`ٍØÚ×?èrÐÒØçáÚØçÐëÞåsè`ԏܐÐiØÚã§ÔàÁé
ϝånÐiяÙt܍ã§Ôàiè`äPærÐiØÚã§Ô?îjÓ§áçè`Ù?à?ã§ånÐiÑ`ÙdãÐÒÑ`ٍ×5Ӂð§ÙÁÔ?ÐgӁ×ÒÙRӁԤӁ×Òð§è`äPٍÔ?Ð?ã§ånÐiÑ`ÙRÐÒÓ§×ið!ِÐWåsè`Ô?Ü?ÐiØÚã§ÔÐiÑ`ÙÁØç×5ِúrØ«àëеàgÓ§Ô
ØÚÔ!ÐÒٍ׵Ûrٍæ?ٍÔ?Ûrٍԏ܍ÙÐiÑ?ÓjÐdì5ã§èáÚہÜÁӁáÚá~åsã§×dØçÔ?ÛrØçî¦Ø«ÛrèÓ§áçØÚöÙ?ہæ`×ÒØÚ܍ÙÁà¤åsã!×?Ðiя٠ØÚԏÛrØÚî?Ø«ÛrèÓ§ááÚٍî!ٍá«à?ãå?܍ã§Ôàiè`äPærÐÒØçã!Ô
ØÚÔgã§×µÛrÙÁ×?Ðiã¤ØçÔ?ÐÒٍ×ÒԏӁáÚØçöÁÙDÐÒÑ`ٍä¥Öþ?×Ò×iãjì
û
wצ 0 0Ø?é?þRáçá?×ÒٍáÚٍîjӁÔ?ÐtØçÔ?ÐiÙÁ×ÒÛ`ٍæ?ٍԏÛrÙÁԏܐØÚÙÁàtӁ×ÒÙ ØÚÔ?ÐiÙÁ×iԏӧáçØÚöÙ?ہò¦ÞQÐiÑ`Ù
Í

---