!" #$%&'%)( +*+,
",
"-$./0%
( *12345&76'8:9<;
=?>A@CBED"FHG'I8JK >L@KNMLIO@"FQPRTSOUVI
W"XZY$[,\3]^H_`8a!bc^Hda!^fe^H[gh_i]Y$^jdO]
k d3bclm^H_on-bp]-qXhrWghscbtruXT_d3bvgOwegHl8bxn!y
Wz`8{}|/~Z1|"
u-u
o
"u-hoVuT!uzVo"-
-o-.
h 9h h¢¡m-
cu!£¤uh"uu-H!-u
u
£ou
¥"¦H¥2
-
u
!§©¨H-u
fª
«¬ ^n^gh_oao®¯[©gh_]ibxgspspq°n-\3[3[XZ_i]^±?²Oq´³T_oghd8]onfeµz¶|·~¹¸ºZ»Z»m¼$ru_XZY&]®3^.½f`8¾¿gd±
e{+|·¾
À§ÁT»|·~ZÁZ{ ¬ ¼ZÁT~Z~m~Qru_XTY7]®3^.eç{zwVgd±¯]®3^.À^H_Y´gd?ÄajgZ±O^HY<bxa{2Å,a®gd3³Z^
`m^j_l8bxa!^ÆÇe:ħÄeÃÈoy
É
Ê Ë5̯ÍÎÏ7ÐÑËoÒ ÍÔÓÖÕo×ÙØ1Ï+ËiÚÛ¯Ò ÜÞÝmØÙÏàßáË5Ìãâ¯Ë5Ì¯× ÎÌ?â
¿
äÞÍzå¯ÏVÍ:ÜæÍzÌÚ2Ë5Ì¯× ÎÃÕÕÚÛ¯ÍÔÐÎÌ?â´ÍzÒ äÑÍzåçÍÎ:Ú2Ü7ËoÌ Î
è ÚÏ+Ë5̯×
=?>L@CB?D"FHGIOJÇKé
MLI8@"FQPRZS8UVI3ê
ë ìAíoîï!ð8ñHî
òôóiõöZ÷møù7ú·øûmøõHó´üpýTúþÿmõú·ø
þ õQþ-óiúö
Zøúø
þõ°öZýZö
øùfûZóþ-óiúö´øûmúøoþ-øöhó/õhö ü u!ó ùø#õ "$ýTú
%ó mùC%ó mõHóýTûmøú-õó-øoþýZö
ó%Zøþ%&('Ùóiú·øoø*)§ü+-,výTúõfþ-óúö ./0,öZ1÷ ö .õöZ÷$ùfõ!ú 2ö Ù3ó ZøøöZ÷8ûmý öhó
ö4)§ü56ý#,879:7;3<?óiõöZ÷møùàúøû¹øõHóÙ3ó mõHófý =>=mú
þ ?
ö @BA/
þ÷m>ø =oýTú-õHóøo÷
þ%&.'óúøoø ùÃû"C$=>
ó!"$úøûmúøoþ-øöhó-þ#õ "$"mý =>=mú-úøö =oøoþDý ,,óiõöZ÷møù ú·øûmøõHó-Eþ 8ö @
õöZ÷=õöFmøZþ-øo÷ó-ý'3ø &.=>
øöh!ó "$fþ-Gý "$Hø"ùfõö z1ÿ Zøoþ-!ó
ýTöZ6þ =oýZö =oøú-ö ö óiõöZ÷møù
úøûmøõHóþæõöZ÷óiõhöZ÷møù õú-ú-:õ ZIþ Jö @KA/
þ ùÃûmú#ý HøoþæõhöZJ÷ høöZøú-#õ "$$Loøoþþ->ø Høú#õ "
ûmú
ýTú23ø MýTúó-þ2ó-ýÃ3ø &.=>
øö!ó "$=õûZ3ó mú*ø "õú høz%þ 1FZþ-øoó-þ"Dý ,æóiõhöZ÷møùNúøûmøõó-þ N
OPRQS/TVUXWXYQ@Z[T\P
Ä o] gd±O^HY _^H[^g]ÆÇn3]m\gh_i^ZÈ2bvn'g1n-]_ibpd3³Xr]®3^:ruXT_Y_^^X`z®3^H_i^8^?bxn'gfd3XZd8|^HY<[3]-q
n-]_bcd3³3y
Àbplm^Hd g?n]i_bcd3³4aXhrsp^jd3³Z]i®Bb+w"g¯d8\3Y.² ^j_Xhrc]¹\,^n]ibpXZd©nÃ_^j³mgh_5±Obpd,³?]oghd©±O^HY
_i^H[^gh]5n+Y´gHqf² ^gTndm^±Lye'®3^n-bpY$[3sc^n]6]m\3^n-]bcXZdbxn6`z®3^H]®,^H_@aEa!XTdO]5ghbpd©ng]oghd©±O^HY
_i^H[^gh]´XZ_´bvg
n f[h[ikj1l>mon[lpm>moy Änin\3Y<bpd3³¤4
g qÅ8^±ghsc[3®gh²^H]Ensb rH^mwz]®3bvt
n ]¹\3^n]bcXZdbxn
u ¬ ^n^gh_oao®[g_]ibxghscspq¤n-\3[3[XZ_i]^±¿²8q³T_oghd8].eµz¶|·~¹¸ºT»Z»m¼ ru_XTY ]i®3^°½gh]ibpXTdghs
`8abp^Hda^´¾3XZ\3d±,gh]bcXZdVwgd±}²8q³Z_5ghd8]$e§{ |·¾2ÀÁT»|·~ZÁT{ ¬ ¼ZÁT~m~Z~ru_XZY ]i®3^°e:^H[g_]|
Y$^jdO]"Xhr{
d,^H_³Tqmy2^HY´gbps vV³T\wn q^jsxy± x§aHny \aH±,gl8bxny ^±8\
z ¬ ^n^gh_oao®fn-\3[3[XZ_i]^±1²8q]®,^0À^H_iY´ghdÙÄajgZ±O^HY<bxa{
Å,ao®ghd3³T^z`m^H_l8bxa^zÆeÄÄeÃÈ5y
e |f@¾ }VÈow,Ä:²3]HIy e'®,^HXZ_i^H]bvn·|
{ _^n^Hd8]gZ±3±8_^ni:n v'À^H_Y ghd?Wghda^H_ ¬ ^n^g_oao®¯W"^Hd8]^H_fÆÇ
ao®3^çµ'bpXTbpdOruXT_Y´g]sb d Æ ~ÁT»ZÁTÁ¹Èowf¶Y ½:^H\3^Hd,®3^HbpY<^H_.¾3^Hsx± ºTZÁOwf¼T~ É ºZ
Á ~:^Hbv±O^Hsc² ^j_³3w
À^H_iY´ghd8qmy
É
d8d3GX `zd$²^fghd©n `'^j_ogh²,sp^bpdt1Æ b È"]ibpY$^c W"_X Z»3w4L3w3W"_iXmZ¼w3W ¬ ~1
y"Â:d,^Y$bp³T®O]
ru\3_i]®3^j_ò^.bpd8]^H_i^n]i^±Qbcd bv±O^Hd8]bruqObcd3³´ghscs*G>#il:l>m:m3f.Xhr/]ogd±O^HY)_i^H[^gh]5nÃbpday
`mbcda!^?]i®3^H_^çajghd² ^ gZn$Y´ghd8q gTntb:H4X8aHa!\3_i_^Hd©a!^nXr.]oghd©±O^HY _i^H[^gh]5nQbcdg
n-]_bcd3³çXhrfsc^Hd3³Z]i
® bwzghd :^ a!bc^HdO]Ùgsp³ZXT_bc]®3YÔruXZ_<]®3bvn1]ogZ!n d`zbcsps±O^H[^Hd©±}XZd4]®3^
XT\3][3\,].nob rj^mw2±O^jd3XZ]i^B
± 3y `m^Hlm^H_5gh*s 1Æ b:spXT³ bOȧ]bpY<^.ghsp³TXZ_ibp]®,Y´n1g_t
^ dOd,X `zd
4Lh3
w V`8~T»3wO`3À§~Z1
OruXT_]i®3bxn2]5gZn dLy2¶]"bxnXhru]^jdXrVbpd8]^j_^n-]2]Xf_^n]_ibxa!] ]®3^zXT\3][3\,]
]iX?]®3X n^´]ogd±O^HYÔ_i^H[^gh]5(n `z®3bxao®¤±OXçd3XT].a!XZd8]ogbpd4n®3XT_]i^H__^H[^g]on
y e'®3^n-^°gh_^
aHgspsc^
± Kl+o+Gm¯]ogd±O^HY _i^H[^gh]5n!yô¶]$bv\
n d8d3GX `zd ]®g]Q]i®3^H_i^çaHghd ²^ gh]´Y$Xmn-]
ÙÆ bspXZ
³ b ÈX8aHa\3__i^Hda!^nAXr3[,_bpY<bp]bclm^V]ogd±O^HY _i^H[^gh]5nAbpdÙgzn]i_bcd3³zXhrsc^Hd3³T]8® bwZgd±
n-^Hlm^H_ogsghsp³TXZ_ibp]®,Y´n1g_
^ d8d3GX `zd¤]®g]bx±O^Hd8]bruq?]®3X n^$X8aja!\3__i^Hda!^nÃbp
d 1Æ b:spXT*³ b È
]ibpY$^ W"_iXm É wÄ { T»OwA`3À§~T
y
¶dÙg'lm^H_qzbcY$[3_^nnbclm^mwo]®3XT\3³Z®Ù®3bp³T®3spq]^a®3d,bxaHgsw!^jÅO]i^Hd±O^±§gh²n-]_ogTa!]Hw |Xmnigh_o[g \
| X n~1
AgT±3±O_i^nn-^n]i®3^ ]m\3^n-]bcXZd$Xr qd±8bpd3³fruXZ_'^gZao®[Xmn-bp]ibpXZ¡
d X/r a ]i®38^ f>¢£1lp!m3f
]5ghd±O^jY)_^H[^g]fn]5gh_]ibpd3³Egh]f[Xmn-bp]bcXZ?
d wghd±çn dm^j]oao®3^ng
d ÙÆ bVÈ]bpY<^ghsc³ZXT_bp]i®3Y
ruXT_']®©gh]z[3_iXZ²3sc^HY?y ~^gsxnXY<^HdO]ibpXTdn2]®3^[,_XZ²,sp^HY XhEr qd©±Obpd3³.gspsLX8aHa!\3_i_^Hda^nXr
[3_ibpY$bc]bclm^']ogd±O^HY _^j[ ^gh]on'bc
d a ghd±Lw `zbp]®,XZ\3]±O^j]oghbcsxnwOn-]og]^n']i®gh]z]i®3^fn dm^j]oao®3^±
gsp³ZXT_bc]®3Y7ajghd´²^^HÅ8]^Hd±8^±]X.n-XZsclm^]®3bvn ]¹\,^n]ibpXZd´bc
d ÙÆ b\?OÈ"]bcY$^ `z®3^H_i^mw3gTn
g² Xlm^mIw bxn']i®3^Ùnsb rH^Xhr
]®3^fXZ\,][3\3]jy
¬ ^a!^Hd8]scq$bp] `/gZnfn®,X `zdç]®©gh]f]®3^d8\3Y.²^H_:Xr/±O¥b ¤L^H_i^HdO] ¦>ym%fXhr/]oghd©±O^HYà_i^!|
[^g]on.a!XZd8]ogbpd3^±¤bpd4gçn]_ibpd3³çXhr sp^Hd3³T]
® b bxn² XT\3d±O^±}²8§
q ÙÆ b ¡
È ¾`8~T
Ç
y e¨`X
]5ghd±O^jY _^j[ ^gh]o
n ^^ôgd©
± ^Eª«^Eªgh_i^?Xhr.±8¥b ¤L^H_^jdO].]-qO[^?btrÃghd± XZd3scq¿b
r ^® ¬ ^Eªxy
½:XT]^.]®g]]®3bv¯
n ÙÆ bVȲXZ\,d±¤a!XZ\3d8]onf^gZao®]5ghd±O^jYÖ_i^H[^gh]Ù]q8[^XTd3spqçXZd©a!^mw+d,X
Y´g]]i^H_'®3GX `NY´gdOq.]bcY$^n]i®gh]]ogd±O^HY7_i^H[^gh]]-qO[^fX8aHa!\3_5n0bcd¯]i®3^n-]_bcd3³3y e'®3bxn
ÙÆ bVȲXZ\,d±sp^gT±3n]X?gdbpd8]^j_^n-]bpd,³¯ao®gspsp^jd3³Z1
^ v1WgB
d `'
^ qd± XTd3^$X8aHa!\,__^jda!^
Xrf^gZao®]5ghd±O^jY _i^H[^gh]]-q8[^Qbc
d 1Æ b ÈÙ]bcY$^ °7`m\ao®4gãscbxn]Xrf±8¥b ¤L^H_^jdO]_i^H[^gh]
]-q8[ ^n$ÆXZ_Y<XZ_^<[3_^abxn^jspqçgçn]og_].spX8aHg]bcXZd4ghd±¤sp^Hd,³Z]®¤Xr^gTa®LÈfbxnaHgspsp^± ]®3^
#G>j1±#i1²«j1l¦ ÆXhr<]ogd±O^HY _^j[ ^gh]onoÈ´Xhr n]i_bpd,©
³ ay ¾©XT_¯^HÅ,ghY<[3sp^mw§g¿lmX8aHgh²,\3sxg_q
Xr1]5ghd±8^HY _i^H[^gh]5nXhrÙ]®,^çn]_ibpd3
³ ³´y³³´y³³´´I³1³k³G´I³k³G´I³µ´bxn³Tbplm^Hd4²Oq¤]®,^çn^H]
Xr$[gbp_5·
n ¶8Æ É¸ ¼mÈ ¸ ÆÇº ¸ ¼mÈ ¸ ÆÇ» ¸ ºmÈ ¸ ÆÇ» ¸ ¼mÈ ¸ ÆÇ ¸ ºm3È ¹_^H[,_^n-^HdO]ibpd3³4]®3^¤]5ghd±O^jY _i^H[^gh]5n
³´y³³´y³,k
w ´I³k³´I³k³,w ³k³,Ew ³k³´y³³´Aw ´k´Ly e'®3
^ fGmº*nG>#illpm:m%fXhr]ogd±O^HY7_i^H[^gh]5n
XTd}]i®3^$XT]®3^H_Ù®ghd©±}aXZd8]oghbcdn1g¯[©ghbp_fruXZ_^gTa® X8aHa!\3_i_^Hda^Xrfg¯]5ghd±O^jYÖ_i^H[^gh]
bc©
d ay ¶d¿]i®3^?g²Xhlm^?^jÅ3gY$[3sp^ w2]®3^En^H].XhrÙX8aHa!\,__^jda!^nXhrÙ]ogd±O^HY _i^H[^gh]5nbxn
¶8Æ É ¸ ¼mÈ ¸ ÆÇº ¸ ¼mÈ ¸ ÆÇ» ¸ ºmÈ ¸ ÆÇ» ¸ ¼mÈ ¸ ÆÇ¼ ¸ ºmÈ ¸ ÆÇ ¸ ºmÈ ¸ Æ É Á ¸ º¹È ¸ Æ ÉZÉ ¸ º¹È ¸ Æ ÉZÉ ¸ ¼¹È ¸ Æ É º ¸ ¼mÈ ¸ Æ É ¸ º¹%È ¹8y
»½¼¾À¿ÁÂÃ#ÄÅ+Æ
¶d´]®3bvn0[©gh[^H_HwI`'^f[3_i^n^jdO]§ghdEghsp³TXZ_ibp]®,Y ]i®gh]qd±,n0]i®3^1lmX8aHg²3\3svgh_q<Xhrg$n-]_ibpd3³
a¤Xr"sp^Hd,³Z]g
® bãbcX
d 1Æ b Èz]ibpY$^§ghd©±?n[gTa!^myz¶d?n-X$±8XZbpd,³3w]®3^ ghsp³TXZ_ibp]®,Y bcY$[3scbxa!bc]sq
º
a
b
a
a
b
b a
a
a
a
b 15
b
a
14
b
18
17 a
b
16
a
a
13
12
10
11
8
9
7
5
6
4
3
2
1
+¾ bc³Z\3_i^ É v `m\$Ť]_i^H^´XhrÙn-]_ibpd3³³´I³k³´y³³´k´I³1³k³G´I³³G´y³µ8y}W"bc_oa!sc^n1bpd±8bxaHg]^´]®3^
^Hd©±O[XZbpd8]onfXhr§]ogd±O^HY _^H[^g]ony Âd3spq?]i®3^´ao®gh_5gZa!]i^H_onfd3^H^±O^±ã]iXçn[^HspsXZ\3]Ù]®3^
]5ghd±O^jYÑ_^H[^g]ongh_i^1n-®3XG`zd¯XTd¯]®,^Ã]i_^H^ y
svgq,nXZ\3]]i®3^´a!XTY$[3sc^H]^ n]_i\a!]i\3_^$Xr]®3^<]oghd©±O^HY _^H[^g]onÃbcdaye'®,^Q_i^n\,sp]fbxn
gTa®3bc^Hlm^±:bcdgz]®3_i^H^!|Ç[3®gTn^'[,_X8a!^±8\3_^my { ®gZn-^¶Çqd±,n2g:n-\3²n-^H]+XrL]®3^"X8aHa!\,__^jda!^n
Xr"]ogd±O^HYÑ_i^H[^gh]5n!w `z®3bvat
® `^1ajghspst
g ²omon f>1Gml:+È¡fGm>uw\nbcd3³.ghd°^HÅO]i^Hdn-bpXZd
Xr1W"_iX8a®3^jY$XZ_i1^ É
nspbcd3^g_|Ç]bpY<^.ghsp³TXZ_ibp]®,YÖ]i®gh]]i^n]5n1bt8r abxnÙ3n ]m\gh_i^!ru_^HÊ
^ W"_X Z»3w
W"_iXmZ¼3wW ¬ ~1
wnbcY$bpsvgh_.]X]i®3^çghsc³ZXZ_ibp]i®3Y ²OË
q ?ghbcÌ
d Í?ghbvZG~
`z®3bxao
® q©d±3n$]®3^
sc^!ru]Y$X n]2X8aja!\3__i^Hda!^Xhr^gZao®]5ghd±O^jY _i^H[^gh]"]-qO[^bcV
d ÙÆ b È2]ibpY$^ y { ®gTn^f¶i-¶ qd±,n
]i®3^'^Hd©±ÃspX8ajgh]bcXZdnVbpdÙ]®3^/nk\ <Åf]_i^H^"Xh6r a$ruXZ_ nXTY$^"Xhr]i®3^']5ghd±O^jYC_i^H[^gh]]-qO[^nVbpd
]i®3^zsp^!ru]iY$Xmn-]"a!Xlm^H_ibpd3³§n^H]jy { ®gZn-^¶i¶¶V]_ogHlm^H_5n^n[gh_i]onXrV]i®3^n-k\ <Å1]_i^H^'ru_XTYô]®3^
^Hd©±O[XZbpd8]on:ruXT\3d±?bpd { ®©gZn^<¶¶owA]iX´XZ²3]5ghbpd ]®3^.a!XTY$[3sc^H]^ÙlmX8aHgh²3\,sxgh_iq?Xhr/]oghd©±O^HY
_i^H[^gh]5n!
y e'®3^°^Hd±¤_^n-\3sp]bvn ]i®gh].]®3^Enk\ <Å]i_^H^´Xhr aNbx
n Îkm%>1l3j!m%Î4`zbp]®4]®3^
m£Î:1+'Xhr^gTa®<]oghd©±O^HY _^H[^g]zbpd$]i®3^lmX8aHg²3\3sxg_q.Xh
r ay"¾©XT_zgdQ^jÅ3gY$[3sp^ wmn^H^
¾+bc³Z\3_i^ É y
W"sp^gh_scqmwmn-\a®.gÙ±O^a!XT_og]^±n-k\ $Å]i_^H^aXZY$[gTa!]scqf_^H[3_i^n^jdO]5n2ghscs3]®3^§±O«b ¤A^j_^Hd8]
]5ghd±O^jY _i^H[^gh]]q8[^nbc
d a ghd±$]i®3^spX8ajgh]bcXZdn"bp
d aÏ`z®3^j_^]i®3^HqX8aHa!\,#_ Ð3bp]aHgd´² ^
\n-^±1]XÙgdn `^H_2Y´gdO.q ]m\3^n]ibpXTdn+_^j³mgh_5±Obpd,³Ã]5ghd±8^HY_i^H[^gh]5n!y"¾3XZ_2^jÅ3gY$[3sp^ wHXZda!^
]i®3^n-k\ $Å´]i_^H^f®gTn:²^H^Hd?±8^a!XZ_5gh]i^V
± `zbc]®¯]i®3^1^jd±O[XZbcdO]Xhr"^gZao®¯]ogd±O^HY7_i^H[^gh]
bcd ]i®3^$lmX8aHg²3\3sxg_qmw"g°n]5ghd±3g_o±spbcd3^g_|Ç]bpY<^1]_5gHlm^H_onighs"Xhr§]®3^.]_i^H^<aHghd¤bx±8^HdO]ibtruq
ruXT_1^gTa®scX8aHgh]ibpXTB
d :bpB
d aw2]®3^<n®,XZ_]i^n]´ÆÇghdI± ÑHXZ_scXZd3³T^n]È]5ghd±O^jYÖ_i^H[^gh]Ù]®g]
»
²^H³Tbpdn"gh][Xmnbc]bcXZd y k n-bpd3³f]i®3^±8^a!XZ_5gh]i^±n-\k<Å1]_i^H^mw8ghscs3]®,^g² Xlm^!|ÇY$^Hd8]bcXZd3^±
[3_iXZ²3sc^HY´nza!XTda!^H_id3bpd,³$]ogd±O^HY7_^j[ ^gh]onÆÇghd±¯Y$XT_^ZÈajghd?²^.nXTsplm^±´bpd?]bcY$^fgd±
n-[gZa!^f²XZ\,d±3n:]i®gh]§gh_i^1gTn0³TXmX8±¯XZ_²^H]]i^H_z]®gd´[3_^Hl8bpXT\nscq$^n-]ogh²,spbxn-®3^±Ay
Â\3Ò_ ÙÆ b È|Ç]bcY$^Y$^H]®,X8± ]iX±O^aXZ_og]^]i®3^fn-k\ $Å.]_i^H*^ `zbp]®<]®3^lmX8ajgh²3\3svgh_iqXr
]5ghd±O^jY)_^H[^g]onbxn:²©gZn^± XZdçbx±O^gZn]®g]Ùgh_
^ ]m\3bp]i^.±O¥b ¤L^H_i^HdO]ru_XZY)]i®3^bx±8^gZnbpd
| X n~1
w3gd±¯gsxn-X$±O«b ¤L^H_^Hd8]ru_iXZYÑ]i®3Xmn-^1bc
d
`3ˤ~Z
Çy
¶d±O^H[^Hd©±O^Hd8]'Xhr XZ\,Ò_ `XZ3_ d<[3_^n-^Hd8]^±®,^H_^mw,g1_^a^HdO]/ghdgspq,nbvn'Xhr ]®3^fd8\3Y²^H_
XrA[X nnbc²3sp.^ liÓfXhrL[3_bcY$bp]ibplm^]ogd±O^HY _^H[^g]on `/gZn+Y´gT±O^mwTghd±g§±O¥b ¤L^H_i^HdO]spbcd3^g_|
]ibpY$^Ùghsc³ZXT_bp]i®3Ô
Y `zgTn:XZ²,]oghbcd3^
± Í|8|f~ZG
2]®g] qd±3nfghscs2]®,^n^_i\3dnbp
d ÙÆ bVÈ]bpY<^
\n-bpd3³ ghd$^jÅO]i^HdnbcXZdXÕr ?ghbpÖd É
n"ghsc³ZXZ_ibp]i®3×
Y Í?gbxZG~
Õy e'®3^Hbp_gsp³ZXT_bc]®3Y ]®3^jd$gspspGX `n
XTd3^1]i\
X qd±?gsps]®3^ ]ogd±O^HY&_^H[^g]:X8aHa\3__i^Hda!^nzbpÏ
d a¤bp
d ÙÆ bOÈ]bpY<^mw3gd±
bc
d ÙÆ b Èn-[gZa^m/y ~:GX `'^Hlm^j_HwZ]i®3^Hbp_gsp³ZXT_bc]®3Y7±8Xm^n'd3XZ]/gZ±3±8_^nin']®3^Y ghbpd._^n\3sc]'bpd
XT\3_[g[ ^j_Hw qd±Obcd3³$]®,t
^ #G>j1±#i1²«j1l¦ Xr"]ogd±O^HY7_^j[ ^gh]on§ghd±´spX8aHg]bpd,³$]®3^jY bcd°g
n-k\ $Ű]_i^H^bpd?scbpd3^g_]bcY$^mwLghdX
± `'^.±8XQd,XZ]Ùn^H^®,X ` ]X´^HÅ8]^Hd©±¯]®3^Hbc_fghsc³ZXT_bp]i®3Y
]iX$gTa®3bc^Hlm^]®3X n^f³ZX ghsxny
Ø
ÙBÚS¨Û
ZGP
T\Ü[TÝÞ
߯PXU
ÙBÚ8Y¨àXPXZGYßÜáâßY/ãtÝS/T\WXPXU
f^ gZnin\3Y<^1gåq©d3bp]i^fghsc[3®gh²^H]8æ4Xhr
gåqÅO^±Qn-borH^ ye'®3_iXZ\3³T®3XZ\3]]®,bxn'[g[ ^j_Ò`^ÒqÅ
g]]^jdO]ibpXZd]iXÙgÃn-]_ibpd3³a?XrAsc^Hd3³T]®b ®èç a ç y ä ^gTnn\,Y$^a¯^jd±3n`zbp]i®.gÃao®g_ogZa]^H_
ésê1É2d3XT]X8aHa!\3_i_bpd,³ ^Hsvn^#`z®,^H_^.bpday¤¾3XZ_ Éë ëâìë bwía 3îoî ì
±O^jd3XZ]i^n1]®3^
n-\3²n]i_bcd3³$Xh*r a4²^H³Zbcd3d3bpd,
³ `zbp]i®?]®3R
^ ]i®?gd±¯^Hd±Obcd3
³ `zbc]®?]®,^ ì ]®çao®gh_5gZa!]i^H_Xr
aÐ`^$nigHq ]i®3^H_^bvn1g
d G>#il:l>m:mX8r a 3îoî ì
2g]1[Xmn-bp]bcXZB
d zbpB
d ayQ`m]i_bcd3X
³ ï*ð¯bxn
aHgspsc^±$]®3
^ l$È¢òñwl3 j+1QXrn]i_bcd3
³ ðïfw `z®3^H_^ ðbxnzg<nbpd,³Zsp^Ùao®gh_5gZa!]i^H_ghd©
± ï bxn
gd3XZd8|^HY<[3]-q.n\3²n-]_ibpd3³,y
Äôn]i_bcd3
³ ïôóæõ}bxn§Ê
g j1Îkmölpm ym%jzbr'bc]faHgd ²R
^ `z_bp]i]^HdçgT8n ï ® ^^¿ruXZ_
n-XZY$t
^ ^âó÷æõ2y¤Ä:dX8aHa\3__i^Hda!^´Xhr g?]oghd©±O^HYÔ_i^H[^ghR
] ^6^ ® aÍ %îoî$ Eùøú É
zbxn
_i^H[3_^n^Hd8]^±$²8q´g[ghbc_1Æ ¸ øÈowaHgspsp^±Qt
g j1ÎkmûlpmIm%jE£j1+ly e'®38^ q_on-]:^Hd8]_iq$Xhrg
]5ghd±O^jY_^j[ ^gh]"[ghbc_2bxn aHghscsp^±f]®3*^ £f[o+1mk l:¦w8ghd±]®3^n-^a!XTd±1^Hd8]_qÙbxn2ajghspsc^±
]i®3X
^ ²omÈ5¢ml¦hX
y e¨`X?X8aHa!\3_i_^Hd©a!^nÃXr]ogd±O^HY _^H[^g]o\
n aÍ %îoî$ øú É
® ^^
gd
± aÍ òª«îsî$ òªøEú É
® ^Eª«^Eª2g_^.Xhr]®,^.nghY<t
^ ¦>ymbr/ghd± XTd3spq?br ^ ® ^-ªvy$¾3XZ_
n-bpY$[3scbxa!bc]qm#w `Ò^ `zbcsps,nXZY<^H]bcY$^nVn[^abtruq.g]ogd±O^HYô_i^H[^gh]"]-qO[^z²8q_^!ru^j__bcd3³]iX1gd
X8aHa\3__i^Hda!^Æ ¸ øÈ2Xr"]®g]z_^H[^g]:]-q8[^mwO^Hlm^jd$]®3XT\3³Z®°]®3^Ùn-[ ^a!¥b qLaspX8aHg]bpXTd´bxn'd3XT]
XrAbcdO]i^H_^n]H6y e'®3.^ [>j1±[iÓ²«j1l¦1ÆXrL]oghd©±O^HY_i^H[^gh]5nÈVX6r a¯bvn+gn-^H]2XrA]5ghd±8^HY_i^H[^gh]
[gbp_5nn-\ao®]i®gh]"^gTa®]-q8[ ^zXr]ogd±O^HY _^H[^g]X8aja!\3__ibpd3³fbcV
d a?bvn2a!XTdO]5ghbpd,^± bcd]®3^
n-^H]^HÅ,gZa!]ispq$XTda!^myÙ¶d?a!XTdO]i_ogTn]HwL]®3
^ fGm>JnRG>#illpm:m%f$ÆuXhr]ogd±O^HY&_^H[^g]onÈXr
a a!XZd8]ogbpdnzgspsV]®,^Ã]5ghd±8^HYÑ_^j[ ^gh][ghbc_on'Xh
r a'y
ä
:Ä dçbpd8]^H_ilTghsXhr[Xmn-bp]bcXZdn8 ¸ - ɸ î#î[î ¸ì bvnÃajghspsc^±¯g?l:incøñ²smÈ+¢B j1Îkm
br§Æ ¸ øÈ ¸ Æ É¸ øÈ ¸ î#î#î ¸ Æ ì1¸ øÈgh_i^^gTa®?]5ghd±8^HYà_i^H[^gh]f[gbp_ony.Ä]oghd©±O^HY
_i^H[^gh]z[gbp_§Æ ¸ øÈ*>1GmlºfÙgd3XZ]i®3^H_z]5ghd±O^jYÑ_^H[^g]z[ghbc_Æ ì1¸ ø·È"br ghd±$XTd3spq.btr]i®3^H_^
bvnzg _i\3d´Xhr øp|sc^Hd3³T]®$]5ghd±O^jY _i^H[^gh]5n'bpX
d a]i®gh]§n]5gh_i]onghJ] gd±´a!XZd8]ogbpdn ì y
½:XT]^.]®g]1btr Æ ¸ ø·ÈaXhlm^j_onÆ ì1¸ øÈowV]i®3^Hdç]®3^´n-\3²n-]_bcd34
³ a ì îoî ì Ëøú É
aHghd ² ^
XT²3]ogbpd3^±´²Oq g$n^H_ibp^n'Xrn\©aHa!^ninbplm^f_ibp³Z®8]|Ç_XT]og]bpXTdn'ru_XZY7]i®3^n-\3²n]i_bcd3
³ aÍ 3îsî$
øú É
w/ghd±¤²Oq4±O:^ q©d3bp]ibpXZdæw^gTa® n]i_bpd,³a!_i^gh]i^±²Oq g _bc³Z®8]|Ç_XZ]5gh]ibpXZd4bxn.ghsvnX g
]5ghd±O^jYÑ_^H[^g]zXhr"sc^Hd3³T]
® øy"¶d´XZ\,_:^HÅ,ghY<[3sp^§n]i_bpd,V
³ ³´y³³´y³³´´I³1³k³G´I³k³G´I³µ8wZ]®3^
]5ghd±O^jYÖ_i^H[^gh]f[gbp_$Æ É ¸ ¼mÈÙa!Xlm^H_on]®3^$[©ghbp_5nÆÇº ¸ ¼mÈfghd©± ÆÇ» ¸ ¼mÈow2]i®3^[©ghbp_<Æ É Á ¸ ºmÈ
a!Xlm^H_5n:Æ ÉZÉ ¸ º¹ÈowLghd©± Æ ÉTÉ ¸ ¼mÈzaXhlm^j_on:Æ É º ¸ ¼¹È5y
ÄÑn-^H]1Xr[gbp_5¯
n üÑbvn1aHgspsc^± B
g >1Gml:+ÈÊfGm>1br§ghd±XTd3spqçbtr§g]1sp^gZn]XTd3^$X8a|
a!\,__^jda!^1Xr^Hlm^H_q´_i^H[^gh]bcd?]®3^lmX8ajgh²3\3svgh_iq¯Xhr]5ghd±O^jYà_^j[ ^gh]onbvna!Xlm^H_^± ²8q
XTd3^Xrz]i®3^[©ghbp_5nbpB
d ü1
y e'®gh]fbvn!wV]®3^._\,dnfn]og_]ibpd3³´ru_XZY)^jlm^H_q´[gbp_fbpB
d ü a!XTst|
sc^a!]bclm^Hspq a!Xlm^H_gh]sp^gZn]XZd,^1X8aHa!\,__^jda!^fXhr"^gZao®Q]5ghd±8^HYÑ_^j[ ^gh]]q8[^myzÄNn^j]:Xr
[gbp_5ån übvnX
g ²omon f>1Gml:+ÈVfGm>:br]®3^Ùsp^!ru]iY$Xmn-]:X8aHa\3__i^Hda!^ÙXhr^gZao®?]-qO[^Xr
]5ghd±O^jYÑ_^H[^g]zbpX
d abvnza!Xlm^H_^±²Oq g1[ghbc_Hy"¾3XZ_^HÅ,ghY$[3sc^mkw ¶8Æ É ¸ ¼mÈ ¸ ÆÇ ¸ ºmÈ ¸ Æ ÉZÉ ¸ º¹3È ¹
bvnzg$a!Xlm^H_bcd3³n-^H]Xh8r ³´y³³´I³³´´y³³1³´y³1³´y³1µ,wZ²3\,]:bvn0d3XT]gsp^ru]Y$X n]zaXhlm^j_bpd,³.n^H]
n-bpda!^.]®,^sc^!ru]Y$X n]X8aja!\3__i^Hda!^.Xh
r ³k³°g]1[Xmn-bp]ibpXZd »Qbxnfd3XZ] a!Xlm^H_^±A
y ~:GX `^Hlm^H_Hw
¶8Æ É¸ ¼mÈ ¸ ÆÇ» ¸ ºmÈ ¸ ÆÇ ¸ ºm3È ¹bvnzg sc^!ru]Y$X n]/a!Xlm^H_bcd3³n-^H]Hy
l>mIm%j5f
ô6zV '$ 0çV-
}
e'®3^çruXZspscXG`zbpd3³4_^n-\3sp]°²Oq¾3_ogh^jddm^Hsfgd±`mbpY$[©nXZdè ¾"`8~Z
fbxn¯^nn^jdO]ibxghsf]iX¿XZ\,_
[3_i^n^jdO] `XZ3_ dLy
ýíþ3ÿ
3¾ XZ_.gdOqç[Xmn-bp]bcXZdË :bpdaw"]®3^j_^´aHgd¤² ^ gh]Y$X n]1]!`X?]oghd©±O^HY
_i^H[^gh].]-qO[^n`z®3Xmn-^?_bc³Z®8]Y$X n]X8aHa!\,__^jda!^n.n]5gh_] gh]$[Xmn-bp]ibpXZd iy ` ]ogh]i^±¿±8btrx|
ru^H_i^Hd8]spq w ^jlm^Hd]®,XZ\3³T®¿]®,^H_^$Y gq?²^´Y´gdOq?]5ghd±O^jYÖ_i^H[^gh]]-q8[ ^n1]®g]X8aHa!\3_
n-]ogh_i]bcd3³çgh][Xmn-bp]ibpXZË
d w"ghscs'²3\,]] `X¤Æg]Y$Xmn-]!ÈXr]i®3^n-^$]-qO[^(n `zbcspsghsvnXçX8aHa!\3_
n-]ogh_i]bcd3³$n-XZY$[^ `z®3^H_^§]X]®,^Ã_ibp³T®O]zXr y
ÂÂ
e'®3^.nsb rH^Xhr/]®3^lmX8aHg²3\3svgh_q°Xhr/]oghd©±O^HY)_^j[ ^gh]onXhrgdOqçn-]_ibpd3³
IÅòÅÀ¼
Xr2sc^Hd3³Z]i®
bãbvn'² XT\3d±O^±Q²8q´ºby
Äa!]i\ghscspqmwT¾3_og^Hddm^Hs8gd±`mbpY<[nXTd1³Zbclm^zn-spbp³T®O]ispqf]bc³Z®8]^H_²XZ\3d©±3n+ruXZ_2]i®3^nbsrH^'Xr
g1]5ghd±O^jYÑ_^H[^g]:lmX8ajgh²3\3svgh_iqm/y e'®3^Hq.^n]5gh²3scbxn-®Q]i®gh]zruXZ_n-]_ibpd3³ n0Xr2sc^Hd3³Z]i
® bË
]i®3^Ùnob rj^Xhr"]i®3^flmX8aHgh²,\3sxg_q$bvn'² XT\3d±O^±Q²8q´º bú¤8wghd±´]®g]0ruXT_z²3bpdg_q´n-]_ibpd3³ n
Xr2sc^Hd3³Z]i
® bºTºOwbp]'bvn'²XZ\3d±8^±¯²Oq<º btú¤ºZ~8y
!""§%)0 6#%$'&&+
ä ^\n^<n\$Å?]i_^H^n^HÅO]i^Hdn-bplm^Hscq$²XZ]® gZnfa!XZY<[3\3]og]bcXZd?]XmXTsxnw2ghd©± gTn ]i®3^<±3gh]5g
n-]_\©a!]\3_i^f]®g]z®3XZsv±3n0]i®3^fXZ\3]i[3\3]zXr"]®3^Ùa!XTY$[3\3]5gh]ibpXZdæy2¾3XZ_g³Z^Hd,^H_ogsVbpd8]_X8±8\a|
]ibpXZd´]iX$n-k\ $Å<]_^j^n!w,n^H
^ W ¬ ~h
VXZ_ À\ni~¹G¸
y
^ (fÆ a"È2]iX.±O^Hd3XT]^f]®,^1n-k\ <Å]i_^H^X¨r aw3bÇy ^mycwZ]®3^Ùa!XTY$[gTa!]^±]_ibp^Xr"gsps
ä ^Ã\©n
]i®3^$n-k\ <ÅO^nX8r a¨Ð)+Æ *3ȱ8^Hd3XZ]i^nÃ]i®3R
^ j+¢ñ²«j1±:mº²'Xhr§g´d3X8±O,
^ *¯bÇy ^mycwA]®3^<a!XTdaHgh]i^!|
dg]bcXZd¤Xhr]i®3^´^±O³Z^<sxgh²^Hsvn1gspXZd,³?]®3^$[©gh]®ru_iXZYÔ]i®3^$_XmXT]]X *y ä ^´ngHqç]®g]
* bv¯
n £j+¢ñ²«j1±:m>²sm%Î.)/Æ *©È51
y 0<+Æ *3È ® ç )'/Æ *©È ç bvn1]®3Ï
^ fl+ÈñwÎkmI5¢ Xhr *y¿{"gTa®4sp^gHr
*¯X
r (fÆ a"ÈbxnÙghsxn-X¯svgh²^Hsp^4
± `zbp]i®bpd±8^HÏ
Å 0br§ghd±XTd3spq?br )'/Æ *©È ® a 3îoîCby
Çy$¾3XZ_ g
d3XTdO|Ç^HY$[3]-qÙn\3²©n]_ibpd3³ ï ó4æ õ Xr a1w `'^^Hda!X8±8^:]i®3
^ mÎ:£1+k"Xh-r ï¿bp2
d (Ã!Æ aÈæ²Oq g
[gbp_4Æ 3 ¸65 È5w `z®3^H_i7^ 3 ® /Æ 8 ¸ *©Èæbxn2gd$^±O³T^zbp2
d (Ã!Æ aÈ ghd± 5 bvn"ghd.bpd8]^H³T^H_"ng]bvn·ruq8bpd3³
Á 9 5ûë 0$/Æ *©È ú;0<+Æ 8AÈoy e'®3^zY$^ghd3bcd3³bxn2]i®gh]n]i_bcd3.³ ï ^Hd©±3n 5 ao®gh_5gZa!]i^H_on+ru_iXZY
:
8¤+Æ 8?bxn:]i®3^[g_^Hd8]Xh"
r *©È/ghscXZd3³´]i®3^^±O³T^´+Æ 8 ¸ *3Èoy1W"sp^gh_scqmEw ï ® )+Æ 8A+È <`z®3^H_i:
^ <
bvn:]®3^ 5 |sc^Hd3³Z]i®?[3_^ qÅ´Xhr]®3^^±O³Z^!|Çsxg²^Hs+Xr 3Zyf½XZ]^Ù]®g.] ïCbxnz^HdaX8±O^±¯XZdçgd
^±8³Z^.+Æ 8 ¸ *3È2^Hlm^jd$btr bp]5n'^Hd±O[XZbcdO]zbvnzgh]d3X8±O=^ * y
e'®3t
^ f[i?>A@
²«+CBçXr§g d,X8±O,
^ *`zbp]i® svgh²^HDs )+Æ *3È ® ðïÃÕw ð4ó æ6w ï óæFEHw bvnfg
[XZbcdO]i^H_1]iX ]i®3^$d3X8±8^Qsvgh²^Hsc^B
± ïÃ?
y e'®3bxn1d3X8±8^¯gos `/gq,n1^HÅ8bxn-]onÃbGr *ãbvng¯d3XZd8|_iXmXZ]
bcdO]i^H_dgsd3X8±O^XHr (Ã!Æ aÈ5y e'®3^ a®g_ogTa!]^H_ ð1bxn"]®3.^ ²«j1±:m>²VXhr ]®,^n-k\ $Å.spbcd d[XZbcdO]ibpd3³
ru_iXZY ]i®3^?d3X8±O^çsxg²^Hsp^
± ðï ]iX¤]®3^?d3X8±8^ svgh²^Hsp^
± ïfyô¶]$bx\
n `^Hsp*s d8d3GX `zd ]®g]
]i®3^n-k\ $Å<]_^j^ÃX*r a¤bpda!sc\±Obcd3³]®3^Ùn-k\ $Å´scbpd d,nzaHghd°²^a!XTY$[3\3]i^±$bpX
d ÙÆ b È/]bpY<^
ä ^Hbu¸»mI
w ?ahWz¸¼3w k dd3~ Ow¾gh_5~¹G¸
Çy
ýíþwý
I
Jôà
ßLK6Ú
ONMPO
ZGPXUXZP
Ý
ß
Q?Ú7RQ/Û
TSKEQ
TâTU\ÚS¨ZGP
Ý
VtÚÒQ
W"_iX8a®3^jY$XZ_i
^
W"_X Z»OwzW"_X Z¼3wzW ¬ ~1
±O^Hlm^HscXZ[^±¤g?spbpd,^gh_-|]ibpY$^´gsp³TXZ_bc]®3Y ]®g]
O± ^j]^H_iY$bpd3^n'btrg´n-]_bcd3³´bxnn%]¹\©gh_^ru_^H^my.¶d?]®,bxnfn^a]bpXTdX`'^<n®3XG` ®3XG`]®,bxnfghsc³ZXh|
_ibp]®,YÑaHgd´² ^Ù^HÅ8]^Hd±8^±]X(q©d±¯g1sc^!ru]Y$X n]a!Xlm^H_ibpd3³ n^H]zXr"]®3^§]oghd©±O^HYÑ_i^H[^gh]5n
Xraye'®g]bvn ]i®3^tdm^Hq]5gZnd¤Xr { ®gTn^ç¶oy W"_iX8a®,^HY$XZ_i^1É
nÙghsc³ZXZ_ibp]i®3Y?w"ghd©±}XZ\,_
Y$X8±8¥b qLaHg]bcXZd´Xhrbp]jw3\n^!] `X$a!_i\a!bvghsV]XmXTsxny e'®38^ q_on-]bxng±8^a!XZY<[ X nbc]bpXTd¯Xr"]®3^
n-]_bcd34
³ aw aHghscsp^±¯]i®3;
^ WmpÒymº²$ñYXÕ+ !Æ E}VÈf±O^aXZY$[Xmn-bp]ibpXZdæw+gd± ]i®3^´n^a!XZd±çbxn]®3^
_i^H[^gh]i^±$\n^ÙXh*r ²«1Èkm3fJ>11ÊmZ@G!mÓf[+1?h#iÇmpl:òm3fy ä ^ q_on-]±O^na!_ibp²^f]®3R
^ E}
±O^a!XZY$[X nbp]ibpXTd$Xhr a§ E}V¸¼
y
¾3XZ_^gZao®¯[Xmn-bp]bcXZ?
d Xr aw sc^HJ] ø\["±O^Hd3XT]^]i®3^1sc^Hd3³Z]i®?Xhr]®,^spXZd,³Z^n-][3_^ qůXr
aÍ %îoî$bI
V]®g]fghsvnX´X8aHa!\,_onfgZng´n-\3²n]i_bcd3³$XhJ
r a n-]og_]bcd3³°gh]fn-XZY$^Ù[Xmnbc]bcXZd ì 9½ 3Ð
sc^H] ][L±O^Hd3XT]^z]®,^n-]ogh_i]bcd3³f[ X nbc]bpXTdXrV]i®3^:sc^!ru]Y<Xmn]X8aHa!\,__^jda!^zXhræ]®3bvn2n\,²n]i_bpd,³
bc
d abtír ø\[7^ ÁOw"gd_
± ][ ® Á8w2XZ]®,^H3_ `zbvn^m
y e'®3;
^ WÕmÒIm>²$ñYXÕ+a`bWcXdgÎkm%>1Òf[o +1
¼
ó-ø>'Zó
egfheiegfhejekfjf
e
e
e
f
e
e
f
e
l
û¹ýþ!
ó!
ýTönmporqtskutvjwjxtyjzio|{iooko|qjo|sio6u}o|vto~wto|xio|y
[
{j{
orvkutsjq
ors
q
w
[
{j{
ojorqjs}oqjq
s
s
w
v
o
u
q
s
s
o
q
o
{
q
o
{
+g²3sp^ É v¨e'®3^Ù±O^qd3bp]ibpXTdQXr/ø [ gd±;] [ y
e
a b a ab a a b ba a aba a b a $
1 2 3
4
5
6
7
¾+bp³T\3_^Ùºkve'®3^^HY$[^Hs|3}bcl.±O^a!XTY$[Xmn-bp]bcXZdVy
Xr\a bxn.]®3^°spbxn-]$XhrÙbcd±Obxa^n\ ¸ ¸ î#î#î ¸ +w:±8^:qd3^±¤bpd±8\a!]bclm^Hspq ²Oq 4 ® É gd±
Y ® Y<Y´ghÅÆ É ¸ ø\[
AÈAruXT
_ Y ë b+yÕe'®3^§n\3²n-]_ibpd3³aÍ YÕîoîC Y õ ú É
Çw É(ëèë w
õ
XT²3]ogbpd3^±?bpd?]i®3bx*n `zgHq¯bvnÃajghspsc^±Q]i®3^ ]
® ±²«GB?Xhr/]®3
^ E} ±O^a!XTY$[Xmn-bp]bcXZd?XrÒay
¶].bxn `'^Hscs dOd3GX `zd ]i®gh].]®3bvn$±O^aXZY$[Xmn-bp]ibpXZd4aHgd ²^?a!XTY$[3\3]i^±bpd©ÙÆ b È]ibpY$^mw
^my¢³3yV\n-bpd3³°]®3^´n-k\ <Å?]_^j^$Xh8r aÌ Ò¬ { {" É
y e+g²3sp^ É n®,X `n1]i®3^.lZgsp\3^n ][zgd±
ø\[2ruXZ_f]i®3^$n-]_ibpd3Ï
³ ³´I³k³´I³k³´k´I³1³³´³³´³µ,wghd±¾bp³Z\,_^.º¯n-®3GX `nÃ]i®3V
^ ^jY$[^Hst%| }bpl
±O^a!XZY$[X nbp]ibpXTdVy
e'®3^:ruXTspscX `zbcd3³f!] `'Xf²gZn-bxa0rÇgTa!]ongh_i^n-]ogh]i^±^HÅ8[3scbxa!bc]spqfXT_'bpY<[3spbva!b]spq§bpg
d W"_X Z»3w
W"_iXmZ¼3w3W ¬ ~h1
Lghd©±QaXZd3d3^a!]"]oghd©±O^HYô_^j[ ^gh]on"]XÙ]®3^²,spX8>a d3n2Xhr]i®38^ E}°±O^a!XTY$[Xh|
n-bp]bcXZdVy
'®3^f_bc³Z®8]z®ghsr2Xr"gdOq$]5ghd±8^HYÑ_^j[ ^gh]zX8aHa!\,__^jda!^fY\©n]"]XT\a®°g]
Y X n]]`X²,spX8a 3n"Xhr"]i®3^E}ç±O^a!XTY$[Xmn-bp]bcXZdVy
$
ÂAB¼;
e
>d
Änin\3Y<^¯]®,^?na^Hdgh_ibpX¤n-®3XG`zdábcd¾+bp³T\3_^E»Ow*`z®3^H_^°]®3^?_ibp³T®O]$®©ghstrÙXr
|
]5ghd±O^jY)_^H[^g]^6^ ]iXZ\ao®3^nY$XT_^]®©ghd]!`'X´²3scX8apd,n!yt^H]<4²^$]®3^q_5n]f²3spX8a>d
a!XTY$[3sc^H]^Hscq1bcda!sp\©±O^±bcdQ]i®3^f_bc³Z®8]z®ghsr2Xr"]®3^f]5ghd±O^jYÑ_^H[^g]Hwgd±Qsc^H]N?²^f]®3^
_i^HY´ghbcd3bpd,³fÆd3^a^nnigh_bcspqd,XZdO|Ç^HY$[3]-qÈLnk\ <ÅfXhrL]®,^'_bc³Z®8/] ^"y`mbcda!^ ^6^Qbvn+g]oghd©±O^HY
_i^H[^gh]jw+]®,^H_^.bxnfghd ^gh_ispbp^j_X8aHa!\3_i_^Hd©a!^Xr < bpB
d a'wVdgY$^Hscq?gZnÙg¯n-k\ $Å?Xr]®3^
q_5n]®ghsr"Xhr
]®3^Ù]oghd©±O^HY7_^H[^g]Hyzµ'\,]:]i®3^Hd¯]i®3^Ùn^aXZd;
± <bvn0d,XZ]Y´ghÅ8bpY´gIs `zbp]®
+ V-.ou-Ço'¦h
-?ooHuozuhÃ--!£Zu
!
VV
u?h¢¡m-h<Zo£
uuh§uoH'+ Th-°o¦Zo~ ¦zo
o +~ ¢¡\£|¤¥§¦¢~¡¨¥©£|ªAo
uH-£:u:
u--u!-'uzT£- «Z
Ù= ¬¹-£Z-Oc!
:-ou--!£Zu
! VZo2--!£Z
f
io
-n«Z
~®¬¹-£Z-
¯±°2 ª 8Vu
u"+²j-£:Çu
1
"-o
- VÇo
io
¥z4 ³j-fzu ¬«1--!£Zu
!z+ Th-Ùo¦Zo
¸
α
β
α
γ
β
γ
S
LZ decomposition
+¾ bc³Z\3_i^Ù»kve'®3^Ù_bc³Z®8]nbx±8^1Xhrg ]5ghd±O^jY _i^H[^gh]Y.\n]]XZ\©a®Egh]Y$Xmn-]z]`X²,spX8a>d3n
Xr2]i®3^^HY$[^Hst|%}bpl<±O^aXZY$[Xmn-bp]ibpXZdæy
_i^n[^a!]]iX ®©gl8bpd,³g[3[^gh_i^±}^g_scbp^H_jw'a!XTdO]i_ogT±Obxa!]ibpd3³?]i®3^?gTnn-\3Y$[3]ibpXZd¤]i®gh].]®3^
n-^a!XZd©±´< bxnzg1ru\3spsL²3spX8a>dAy
µ
'®3^sp^!ru]iY$Xmn-]:X8aja!\3__i^Hda!^XrgdOq°]oghd©±O^HY)_^j[ ^gh]fY\©n]]XZ\©a®çg]
sc^gZn-]z]`X²3spX8a>d,n!y
ÂAB¼a¶·
e
µ'q¤]®,^ç±O:^ qd3bc]bcXZd XhrÙ]i®3^E}±O^a!XTY$[Xmnbc]bcXZdVwghd8q n-\3²n-]_bcd3³B`z®3bxao®
|
X8aHa\3_onÙa!XZY$[,sp^H]i^Hspq°a!XTdO]5ghbpd,^±ãbcd XTd3^$²3scX8apd?®©gZn1gdX8aHa!\,__^jda!^<n]og_]ibpd3³Egh]gd
^g_scbp^H_f[Xmn-bp]bcXZd¤bp
d a'Ï
y ~:^jda!^.bp]ajghd¤d3XZ]Ù²^Q]i®3^$sc^!ru]Y$X n]fX8aHa!\,__^jda!^$Xr]®g]
n-\3²n]i_bcd3³3y
µ
^ :mk!mlQXrg´]oghd©±O^HY)_^j[ ^gh.] ^^ bxR
n +Óf[+Îkm.²3scX8pa d btr/]®3^
ä ^$nigq?]i®gh]Ù]®3g
_ibp³Z®8]Y<Xmn] a®g_ogTa!]^H_fXrz]®,^sc^!ru]fa!XT[Oq?X*r ^ bxnfa!XZd8]ogbpd3^±¯bpd
y e'®3^.[3_bcXZ_f!] `'X
^HY<Y´gZn2^n-]ogh²,spbxn-®´]®3^ruXZscspGX `zbpd,
³v
¶Çr,]®,^sc^!ru]Y<Xmn]LX8aHa!\3_i_^Hd©a!^2Xhr g']oghd©±O^HYN_^H[^g]6^^$®gTn bc]onVa!^jdO]i^H_
¸¶·
bcdnbv±O^fnXTY$^f²3spX8a>d w3]®3^Hd´^Hbc]®3^j_
Æ-W"XZd±8bp]bcXZd É È/^6^㮩gZnbc]on2sp^ru]^jd±bpd©nbx±8^z²3spX8a>d gd±$bp]on2_ibp³Z®8]"^Hd±
bcdnbv±O^²3scX8pa d É Ð
XT_
Æ-W"XZd±8bp]bcXZd¤ºmÈf]®3^<sp^!ru]f^Hd±çXhJr ^6^á^HÅ8]^Hd±,nÃbpd8]X´²3scX8pa d ú É ghd©±
[X nnbc²3spq?ru\3_i]®3^H_Ùsp^!ru]jy Æ e'®3^´_bc³Z®8]1^Hd±çY´gHq¯²^´bpdn-bx±O^.²3spX8>a d XZ_
bcdnbv±O^²3scX8pa d É ytÈ
`m^j^1¾bp³Z\,_^,y
µ
¶]+ruXZscspGX `n2bpY$Y<^±Obcgh]i^Hspq]i®gh]"bcdXZ_o±8^H_"]X1bv±O^Hd8]bruqÃ]i®3^zsp^ru]Y$X n]X8aHa!\3_i_^Hda^:Xr
^gTa®]-q8[^zXhrV]5ghd±8^HY_i^H[^gh]jw¹bc]"n\ ´a!^n+]XfspXmX dXZd3scqÃruXT_X8aja!\3__i^Hda!^n+Xhræ]oghd©±O^HY
α
α
Condition 1
B
α
B+1
α
α
α
Condition 2
B
B+1
B
B+1
¾bp³Z\,_^fv/e'®3^f]!`'X<a!XTd±Obp]ibpXTdnruXZ_zsc^!ru]Y$X n]]oghd©±O^HYÑ_i^H[^gh]5n!y
_i^H[^gh]5n']®g]ngh]ibxnruq$XZd3^fXr2]i®3^f]`Xg² Xlm^Ùa!XTd±Obp]ibpXTdn!y/e'®3bvn'[XZbpd8]zbxna!_\©a!bxgsAbpd
]i®3^fspbpd,^gh_]bpY<^:²XZ\,d±QruXZ¨_ qd©±Obpd3³<gsp^!ru]iY$Xmn-]'aXhlm^j_bpd,³n^j]Hy
ä ^:d3GX `±O^na!_ibp²^:]i®3^§n^a!XTd±$a!_i\a!bvghs3]iXmXZsVXhr { ®gZn-^1¶owZ]i®3^\n^Xr]®3^.²«1Èm3f
>11XmZ@G!mÓf[+1h#iml¦hy
¾3XZ_´!] `'Xbcd±Obva!^
n gd± ì Xhr.g¤n-]_bcd3
³ aÒw `'^ç±8:^ qd3^ç]®3B
^ ² 1Èkm3ft>11
mZ@Dm1f[+1 ru_XTY ghd± ì Æbcd$]®3^zruXZ%_ `zg_o±$±Obc_^a]bpXTdAÈ gZn"]®3^sp^Hd,³Z]®.Xhr]i®3^scXZd3³T^n]
n-\3²n]i_bcd3³?bpB
d a]®g
] fj1l>5f gh] ghd±Y´g]oao®3^ng?n-\3²n-]_bcd3³?n-]og_]bcd3³çgh] ì y ä ^
±O^ qd3^']i®3^zspXTd3³Z^n]"a!XTY$Y$XTdÃ^jÅO]i^HdnbcXZdÙbpd1]i®3^z²gTpa d`zg_o±±Obc_^a!]ibpXTdgZn]®3^zscXZd3³T^n]
n-\3²n]i_bcd3³ Xr aN]®©ghÏ
] mÎfEgh
] 1ghd©±}Y´g]oao®3^n1gçn\,²n]i_bpd,³^Hd±Obcd3³çgh] ì y ¶]bxn
d8d3GX `zd´]®g]zgru]i^H_zspbcd3^g_'[3_iX8a!^nn-bpd3³]ibpY$^zX¨
r aw,ghd8qscXZd3³T^n]a!XTY$Y$XTd^HÅO]i^Hdn-bpXZd
a!XTY$[3\3]5gh]ibpXZdçÆxruXZ3_ `/gh_5±QXZ_²gTpa d`zg_o± ÈaHgd¯²^f^HÅ8^a!\3]i^±$bpd°a!XZd©n]ogdO]]bcY$^mÕy e'®3bxn
bvngTa®,bp^Hlm^±fbpd.XZd3^§XhrV!] `(X `zgHq,n!wm^Hbc]®3^H_ ²Oq\n-bpd3³ÙgÙa!XZdn-]ogdO]]bpY<^'sp^gZn]a!XTY$Y$XTd
gda!^n-]XZ_gsp³TXZ_bc]®3YEw¹XT_zY$XZ_i^n-bpY$[,spq²8q\n-bpd3³lTg_bxgdO]5nX/r |d8\3]®Ow| ¯XZ_i_bvn·| { _5gh]i]
XT_.µ'Xhqm^j_w| ¯XmXZ_^´XTV
_ }3|·ghsc³ZXZ_ibp]i®3YÔ[3_i^H[3_X8a^nn-bpd3³,y¿`m^H?
^ À\ni~¹G¸
z[g³Z^n É ~T¼ gd±
ºTÁZ ruXT_:Y$XT_^f±8^H]ogbpsxn'XTd?]®3^n^f!] `'X<gh[3[3_iXmgTa®3^n!y ä ^ÙgZnn-\3Y$^f]®©gh]fn-]_bcd3
³ a¤®gTn
²^H^Hd?[,_^H[3_iX8a!^nin^±?n-X$]®g]fghd8q?n-\3²n-G^ ]¹\,^HdO]spXTd3³Z^n]Ùa!XZY<Y$XZd$^jÅO]i^HdnbcXZÏ
d ]m\3^H_iq
aHgd´² ^Ù^HÅ8^a!\3]i^±bpd a!XZdn-]ogdO]]bcY$^my
^ E} ±O^aXZY$[Xmn-bp]ibpXZdæw2ghd©±}]®,^$\n^´XrscXZd3³T^n].a!XTY$Y$XTd?^HÅO]i^Hdn-bpXZd
ä bp]i®]®,Ê
]m\3^H_ibp^nÓ
w `^ajghd$d3GX ` ²^H³Tbpd$]iX±O^Hlm^jspXZ[.]®,^ { ®gZn-^f¶"ghsp³TXZ_ibp]®,Y ]i®gh/] qd±3ngÃsp^ru]|
Y$X n]/a!Xlm^H_bcd3³Ùn^H]j/y e'®3^fghsc³ZXT_bp]i®3YÑbvn'ghd´^HÅ8]^jdnbcXZd$Xr'W"_iX8a®3^jY$XZ_i1^ É
n"ghsc³ZXT_bp]i®3Y
ruXT_¯±8^H]^H_iY$bpd,bpd3³?brg n]_ibpd3³¤bvn$3n ]m\gh_i^!ru_^j^m÷
y e'®,^gsp³ZXT_bc]®3Y [3_X8a!^nn^n ²,spX8>a d3n
^ E} ±O^a!XTY$[Xmn-bp]bcXZd?bcd?XZ_o±8^H_Hwghd©±ãbc]XZ\3]i[3\3]5nÃgd XT_o±O^j_^±?spbvn]Xr
É ¸ º ¸ î[î#îAXhr/]®3
]5ghd±O^jY_^j[ ^gh]"[ghbc_on"gZn"^gZao®²3scX8pa dÙbxn2[3_X8a^nn-^±Ay e'®,^gsp³ZXT_bc]®3YôY´gbpd8]ogbpdnV]®3^
bcdOlTgh_ibxgdO]]®g]Ùgru]^j_[3_X8a^nn-bpd3³´²3scX8pa d,n É ¸ î#î#î ¸~ Xhr]®3
^ E} ±O^a!XZY$[X nbp]ibpXTdVwAgsps
X8aHa\3__i^Hda!^nzXhr/]ogd±O^HY&_^H[^g]oÒn `z®3X n^<a!^Hd8]^H_bxnzbpd©nbx±8^.nXZY<^1²3scX8pa d ª ru_iXZY É
]iX wgd±Q]i®gh]§ng]bxnruq$^Hbc]®3^H_W"XTd±Obc]bpXTd É XZ_fW"XZd±8bp]bcXZdEºOw `zbpscsV²^1aXhlm^j_^±²8q
]i®3^[gbp_on"XZ\3]i[3\3]z²8q]®3^ ghsp³TXZ_ibp]®,Y?y2`mbpda^]®3^sp^ru]Y$X n]"X8aHa!\3_i_^Hd©a!^:Xr ghd8q]5ghdO|
±O^jYÑ_^H[^g]nigh]ibxwn q©^n:^Hbc]®3^H_W"XTd±Obc]bpXTd É XZ_fº8w ]i®3^Ùghsc³ZXZ_ibp]i®3û
Y `zbpspsV®©glm^fXT\3][3\,]
~
k
k1
k2
h
q
B
k1
k2
h1
B+1
¾+bp³T\3_^.kvÄ:sc³ZXZ_ibp]i®3Y É gOy
g1sc^!ru]Y$X n]/a!Xlm^H_bcd3³n-^H]gh]z]i^H_Y$bcdgh]ibpXTdVy2{2lm^H_iq²3scX8apd
gsp³ZXT_bc]®3Y´n"]®g]g_^Ù±O^nia!_bc²^±$d3^HÅ8]Hy
bxn'[3_iX8a!^nn-^±V`zbc]®´]!`'X
ÿNºP» V+3,50'-¸¼
Änin\3Y<^²3spX8a>d n-]ogh_i]ongh][Xmnbc]bcXZdP½°ghd±´²3spX8a>d É n-]ogh_i]ongh]z[Xmn-bp]ibpXZd¾½¿y
ë:ÀÁÂ,ï Ãtî Ä·ÅiÆTð ÇÈA~ï ©Êñ É í!|í îËÁ°¿ì À©Â©ñ ÌPÍÏÎYÂ,ïîoð ËÐÑÉÅ)ï|ÉÒÈ¿ÉZðmîíîÄ,ðmî1íoðmî|Ãpí6ÎÔÓaÕÂÑËÖ
зÃt|
î éÂËAÆ üpþ-øoDø ×E$mú7ø vG
×8ýTÙ
ú Ø, úýZÚ
ù o0ó-
ý Í Z÷mý
Fm>ø Gö
ó ÜDÝAÞ cß Øà
Û øoF
á2ýTùf1
û Zó-øz3ó Zø "ýZö øoþ-/ó =oýTùÃùýTö1>ø 'Zó-øöZ!þ
ýT
ö ö %ó Zø â6ãG;ZäåG;+æ1÷ ú>ø =o!ó
ýT¯
ö , ú·ýTù
û¹ý!þ
!ó
ýTöZDþ Þ õöZn
÷ Ü Û øo%ó Ø ÷møöZýhó-ø%ó Zø "
øö 3ó #ý ,V%ó mõHó2>ø 'Zó-øöZ!þ
ýTö á2ýTùf1
û Zó-øz3ó Zø "ýZö øoþ-/ó =oýTùÃùýTö1>ø 'Zó-øöZ!þ
ýT
ö ö %ó Z=ø ç4åè6éäåG;+æ1÷ ú>ø =o!ó
ýTö , úýZù
û¹ý!þ
!ó
ýTöZDþ Þ cß oõhöZ2
÷ Ü ß oG Û øoNó Ø ÷møöZýóøz%ó Zø "
øö %ó Dý ,æ%ó mõó">ø 'TóøöZ!þ
ýTö ÷ Ø í {1Z%ó Zøö ý Zói1û Zó"%ó ZøzóõöZ÷møùNúøû¹øõHó/ûmDõ ú
ê ,cØ ·ë Ø
Nì ØõöZ2
ü ùf#õ ',bü Ü ß Ø î Ü ß Ø ë o î qØ16à
øöZI÷ e'®3t
^ dm^Hq?]iX?\3d±O^H_5n]5ghd±Obcd3³çÄ:sc³ZXZ_ibp]i®3Y É g¯bxn1]i®3^rÇgZa]1]®©gh]]®,^H_^$bvng¯_\3d
Xr']5ghd±8^HY7_^H[^g]on!wL^gZao®?Xhrsp^jd3³Z]i®?º wVn]5gh_]ibpd3³ gh]f[Xmnbc]bcXZd ïú ]i®gh] a!Xlm^H_
[Xmn-bp]ibpXZð
d ïRú É g]$sp^gZn]jwzbtrÙgd± XTd3spq¤br Ò y e'®g]°a!sxgbpYÔbvn^gZn-bpscq
^n-]og²3spbvn®3^±´gd±¯sp^!ru]z]iX]i®3^1_i^gZ±8^H_Hyz¶r ^Á]®3 ^jd¯]®©gh]_\3dEghsxn-X$^HÅ8]^Hd©±3n'bpd8]X
²3scX8pa d É wOgd±1®3^Hd©a!^za!XTdO]5ghbcdn+]ogd±O^HY _^H[^g]on+XrLsp^Hd3³T]® º `z®3bxao®1®gHlm^]®3^Hbc_
a!^jdO]i^H_:bcd gd±ã]i®3^Hbc__bc³Z®8]Ã^jd±¯bpd É y.¶d?]®g]1ajgZn^ -w `
^ `zgdO]f]X´XT\3][3\,]
g$_^j[ ^gh]f[ghbc_]®©gh]Ùa!Xlm^H_on]®3X n^.]oghd©±O^HYà_i^H[^gh]5n!R
y e'®3^[gbp_.+Æ ï8ú ¸ º ȧ±OXm^n
]i®gh]jwO²3\3]btr w8]®3^[gbp_/Æ ï¨ú É ¸ º È
ghsvnX.a!Xlm^H_5n2ghscs ]i®3^f±O^nbp_i^±]oghd©±O^HY
_i^H[^gh]5n!w8ghd±.bpd.]®g]zaHgTn*^ `'^ `zbpscs\n^Ù+Æ ïú É ¸ º È2]iX1n-bpY$[,spbtruqf]i®3^:^jÅO[Xmn-bp]ibpXZd
Xr"g.n\3²©nG^ ]m\3^Hd8]a!XZY<[3\3]og]bcXZdVy
¹íþ3ÿ
ÉÁ
k
k1
k2
h
k1
k2
B
h1
q
B+1
¾+bc³Z\3_i^1¼v"Ä:sp³TXZ_ibp]®,Y É ²Vy
ë:ÀÁÂ,ïÃtîÄ·ÅjÆmìcÇÈAï~ÂñÉ í!í|îËÁ´ì¿ÀÂñÌPÍÏÎYÂ,ïîoðËÐÉÅ&ï~ÉñÈ¿ÉZðmîíîÄ3ðmîfíoðmî|Ãpí6ÎÔÓaÕÂÑËÖ
зÃt|
î éÂËóò üpþ-øoDø ×E$mú7ø wG
×8ýTÙ
ú Ø, úýZÚ
ù o0ó-
ý Í ë Í ë oZ÷mý
Fm>ø Gö
ó ÜDÝAÞ ë Øà
Û øoF
á2ýTùf1
û Zó-øz3ó Zø "ýZö øoþ-/ó =oýTùÃùýTö1>ø 'Zó-øöZ!þ
ýT
ö ö %ó Zø â6ãG;ZäåG;+æ1÷ ú>ø =o!ó
ýT¯
ö , ú·ýTù
û¹ý!þ
!ó
ýTöZDþ Þ.õöZ¯
÷ Ü Û øo%ó Ø ÷møöZýhó-ø%ó Zø "
øö 3ó #ý ,V%ó mõHó2>ø 'Zó-øöZ!þ
ýTö á2ýTùf1
û Zó-øz3ó Zø "ýZö øoþ-/ó =oýTùÃùýTö1>ø 'Zó-øöZ!þ
ýT
ö ö %ó Z=ø ç4åè6éäåG;+æ1÷ ú>ø =o!ó
ýTö , úýZù
û¹ý!þ
!ó
ýTöZDþ Þ ß oõöZn
÷ Ü ß oG Û øoNó Ø ÷møöZýóøz%ó Z*ø "
øö %ó #ý ,L%ó mõó">ø 'TóøöZ!þ
ýTö ØõöZ
÷ F¹ý%ó :Ø õöZn
÷ Ø õúø Túøõó-øú+%ó mõ:
ö {1mõöZ÷
ê ,cØ ·ë Ø
ùÃ#õ ',bü NÞ ì ß Ø î Þ ß Ø ë o: ë Ø:ôP Þ m3ó Zøöý Zói1û Zó%ó ZøzóiõöZ÷møùNú·øûmøõHóûmDõ ú
ü ùf#õ ',bü Þ ß Ø î Þ ß Ø ë o î qõØ16à
øöZI÷ e'®3^f^HÅ8[3sxgdgh]ibpXTd$Xhr
Ä:sp³TXZ_ibp]®,Y É ²´bxnzn-bpY$bcsxgh_ ]X]®©gh]zXhr Äsp³ZXT_bc]®3Y É g8¨
y e'®3^
[XZbcdO]zbvn']X.XZ\3]i[3\3]§g ]5ghd±8^HYÑ_^j[ ^gh]z[gbp_]®g]a!Xlm^H_onzgspsA]i®3^1sc^Hd3³T]® ]oghd©±O^HY
_i^H[^gh]5cn `z®,Xmn^<a!^Hd8]^j_:bvn bcd ghdX
± `z®3Xmn-^sc^!ru]^Hd©±¯bxnbpdçg$²3scX8pa d°]X´]®3^sc^!ru]Xr
yfe:^j]oghbcsxng_^.g³mghbcd sc^!ru]]iX$]®3^_i^gZ±8^H_HyÙÄ:sp³TXZ_ibp]®,Y´n É g´ghd©± É ²g_^]XT³Z^H]i®3^H_
_i^!ru^H__i^±]iX$gTn:Ä:sc³ZXT_bp]i®3Y É y¾+bp³T\3_^1¸ a!XTdO]ibpd8\3^nXT\3_^HÅ3gY$[3sc^my
ÂÂ
ö
]ibpY$^§ghd±°n[gTa!^my
Ä:sc³ZXT_bp]i®3Y É XT\3][3\,]ong sc^!ru]Y$X n]/a!Xlm^H_bcd3³n-^H]zXhr"[©ghbp_5n'bpdXÙÆbVÈ
ä ^®©glm^<ghsc_^gT±Oq?^n-]ogh²,spbxn-®3^±?]®g]ÙÄ:sp³TXZ_bc]®3Y É XZ\3]i[3\3]5n1g$sp^!ru]iY$Xmn-]
!a Xlm^H_ibpd3³§n^j]XrL]oghd©±O^HYô_^j[ ^gh]2[gbp_5n!y"Ä:sc³ZXZ_ibp]i®3Y É g _i\3dn2bpdÙÆ b È]bcY$^'²^aHg\n^
^gTa® ²3spX8a>d bxn1[,_X8a!^nin^±bcdÙÆ ç ç Èf]bcY$^mwghd±¤]®3^<²3spX8a>d3ng_^°±ObvnoXZbcdO]jyç¶·d
Ä:sc³ZXT_bp]i®3Y É ²Vwm^gTa®²,spX8>a d bvn+[3_X8a^nn-^±1bpd]ibpY$^"[3_iXZ[XZ_i]bpXTdghs]iX ç ç ç É ç y
~:^jda!^fXlm^H_:]i®3^1^jdO]ibp_^Ù_\3d,d3bpd3³<Xhr/Ä:sp³TXZ_ibp]®,Y É ²VwL^gZao®?²3spX8>a dçÆ^HÅ,a!^H[,]z]®3(
^ q_5n]
gd± svgZn-]!È<a!XZd8]_ibp²3\,]^n$!] `zbxa!^°]X¤]®,^ ]iXZ]ogsÙa!XZ\3d8]Hy µ'\3]°n-bpda!^?]i®3^?²3scX8pa d,n´gh_^
±Obvon XTbpd8]HwO]i®3^f]XT]oghs]bcY$^zruXZ_Ä:sc³ZXZ_ibp]i®3Y É ²´bvnzghsxn-V
X ÙÆ b Èoy
µ
|
ÉTÉ
a b a a b a a b b a a a b a a b a $
(3,6)
(8,2)
(11,2)
(1,6)
(11,6)
+¾ bc³Z\3_i^¯¸1vRe'®3^<_^n-\3sp]ÙXhr Ä:sp³TXZ_bc]®3Y É XTd¤n]i_bcd3³³´I³³´I³k³´´y³³1³´I³1³´³kµ,ye'®3^
]5ghd±O^jY _^j[ ^gh]onru_XZY ]®3^°sp^!ru]iY$Xmn-].a!Xlm^H_bcd3³ n^H]´g_^çn-®3XG`zdgZn$]®3bvapdm^j_spbpd,^n
²^HscX` ]®3^ n]_ibpd3³,yte'®3^<a!XZ_i_^n-[ XTd±Obcd3³?]ogd±O^HY|Ç_^j[ ^gh]f[ghbc_onÆ ¸ ø·È§g_^R`z_bp]i]^Hd
d3^jÅO]]X1]i®3^HY?yÆ É ¸ ¼¹È"bvnXZ\,][3\3]z²8q.Ä:sc³ZXZ_ibp]i®3Y É t
² `z®3bpsc^:[3_iX8a!^ninbpd,³²3spX8a>d]i®3_^j^1Ð
ÆÇ» ¸ ¼mÈ+bvn2XZ\3]i[3\3]"²Oq.Äsp³ZXT_bc]®3Y É 8g `z®3bpsc^z[3_X8a^nn-bpd3³f²3scX8pa d]i®3_^H^ Ð3Æ ¸ º¹È bxn+XT\3][3\,]
²8q?Ä:sc³ZXT_bp]i®3Y É gQXTd ²3scX8pa d´ruXZ\3[_ Ð'Æ ÉZÉ ¸ º¹ÈbvnXZ\3]i[3\3]f²OqçÄsp³ZXT_bc]®3Y É g´XZdç²3spX8>a d
qlm
^ Ð3ghd©± Æ ÉTÉ ¸ ¼mÈ'bvn'XZ\3]i[3\3]²Oq Ä:sp³TXZ_bc]®3Y É ²°XZd´²3scX8pa d´n-bpÅLy
3¾ XZ_z^gTa®´[Xmn-bp]ibpXZd
2bpdXawOsc^H]ÒüÙÆ ȱO^Hd3XT]^f]®,^Ãscbxn-]'Xhr [gbp_onfÆ ¸ ø ÷[ È"XZ\,][3\3]z²8q
Ä:sc³ZXT_bp]i®3Y É wy`z®3bva®´®gHlm^f[Xmn-bp]bcXZd°^HdO]i_qt iyÒ^H]8ü ±O^Hd3XT]^1]i®3^Ùa!XZY<[3sp^H]i^fn^j]:Xr
]i®3^fXZ\3]i[3\3]z[gbp_onw3by¢^mypwm]®,^Ã\,d3bpXTdQXr2]i®3
^ üÙÆ È5y'Â:d,^1gT±3±Obc]bpXTdghsVbcY$[3sc^HY^jdm]ogh]ibpXTd
±O^j]oghbcsAbvn'd3^H^±O^± bcd { ®©gZn^ ¶owObpd´XT_o±O^H_z]iX rÇgTa!bpscbp]5gh]^§]®38^ `'XT3_ d$bcd { ®©gZn^ ¶¶oy
pb ]i®3XZ\,]Ãbcda!_i^gZn-bpd3³$]i®3^R`'XZ_5n]-|-aHgTn^._\3d,d3bpd3³´]ibpY$^fXhr0Ä:sp³TXZ_ibp]®,Y
É w2][ ®3^´spbvn]5n¯üÙÆ È aHghd¤²^°gZaHa\3Y\,sxgh]i^±?nX?]i®gh]1ruXT_^gZao®[Xmn-bp]ibpXZd w2]i®3^´[ghbc_on
Æ [ ¸ ø ÷ Èf[ bcd§üÙÆ Èfg_^°nXT_]^± ²8q¤±O^a!_^gTnbcd3³¯XT_o±O^H_Xr]i®3^´sp^Hd,³Z]®¤^Hd8]_iqmyÏe'®gh]bvn!w
ø ÷ ^ø ÷ y
õ
ÂAB¼Pö
ä
'®3bvnÃbvnÃgTa®,bp^Hlm^±¯²8q gh]]5gZao®3bpd,³¯gd¤bpd3bc]bxgspscqQ^jY$[3]-q¯scbxn]üÙÆ -È:]iX¯^gTa®
[Xmn-bp]ibpXZd 3XhEr aye'®,^HdÙgZn+^gTa®f[gbp_"Æ ¸ øÈbxnAXZ\,][3\3] ²OqfÄsp³ZXT_bc]®3Y É wZ]i®3^"[ghbc_'Æ ¸ øÈ
bvn[3_i^!|[^Hd©±O^±]iX1]®,^spbvn]ÒüÙÆ ÈoyÕe X.n-^H^]®©gh]']i®3bxn"³Zbclm^n]i®3^±8^nbc_^±_i^n\,sp]HwZruX8a!\©n
XTd´gcqÅ8^±[©ghbp_Æ ¸ øÈ+XT\3][,\3] `z®3bpsc^z²3spX8>a d bxn"[3_X8a^nn-^±Ay ä ^a!svghbcYô]®g]zgh]]®3^
]ibpY$^Æ ¸ øÈ2bvn0XT\3][3\,]HwLghspsV]i®3^1[©ghbp_5nÃÆ ¸ ø+ªtÈ `zbp]i
® ø5ª·9øw3®gHlm^Ùghsc_^gT±Oq´²^H^Hd°gZ±3±8^±
]iXscbxn*] üÙÆ È5y"¾+bp_5n]a!XTdnbv±O^H_ghscsV[ghbc_onfÆ ¸ ø5ª
È `zbp]i®¯a^HdO]i^H_'bcd´²3spX8>a d3n É ¸ î#î#î ¸~ ú É y
e'®3^n^[gbp_o*
n `'^H_i^XZ\3]i[3\3]fbpd°^gh_ispbp^j_:bc]^H_5gh]bcXZdnXhrÄsp³ZXT_bc]®3Y É wgd±¯®3^Hda^.gh_^
gsp_^gZ±Oq?bc
d ü1Æ ÈoR
y ¯XT_^HXlm^H_jEw ø5ªH9÷ø'²^ajgh\n-
^ ø+ª"Æ_i^n[^a!]ibplm^Hsct
q øÈ:bvn]®3^.±Obvn]5ghda!^
²^H!] `'^j^Ht
d "ghd±´]®3^Ùa!^jdO]i^H_'Xr2]i®3^f]oghd©±O^HY7_^H[^g]fÆ ¸ ø ª ÈÆ_i^n[^a!]ibplm^Hscq´Æ ¸ ø·ÈiÈoy
`m^aXZd±AEw `z®3^jd [3_iX8a!^ninbpd,³Q²,spX8>a d wVÄ:sc³ZXT_bp]i®3Y´n É g°ghd± É ² ±OX´d3XZ]fXT\3][3\,]
[gbp_5ín `zbc]®?]®,^ngY$.^ lTghsc\3^m*y e'®3^Ù_^gTnXZd?bvn0]i®gh] Ä:sp³TXZ_bc]®3Y É gXT\3][3\,]on[ghbc_on
`z®3X n
^ /rÇgspsvn bcd?²3spX8>a d Ew `z®3bcsp^.Ä:sc³ZXT_bp]i®3Y É ²XZ\,][3\3]5n[ghbc_oån `z®,Xmn
^ 'rÇghspsvn:bpd
²3scX8pa d,n'²^!ruXZ_i^ y
|
e
ɺ
¾+bcdghscspqmwzÄsp³ZXT_bc]®3Y É g ÆÇghd± É ²AÈ lZg_q bcd bpda!_i^gZn-bpd3³çXZ_5±O^H_jwghd©± ®3^jda!^
br.Æ ¸ ø ª È.ghd©±CÆ ¸ øÈg_^?XZ\,][3\3]´bcd¿]®©gh]´XZ_5±O^H_`z®3^jdÄ:sp³TXZ_bc]®3Y É g ÆuXZ_ É ²LÈbxn
[3_iX8a!^ninbpd,³²3scX8apd wO]®,^Hd
ø ª 9ø-y
¾3XZ_]®3^]bcY$^2²XZ\3d©±AwZd3XT]^']i®gh] ² ^aHgh\n-^']i®3^']5ghd±O^jYC_i^H[^gh][gbp_ongh_i^'XT\3][3\,]
bc
d ÙÆ bVÈf]bcY$^gd±^gZao® ^jdO]i_q?bpd g¯spbvn]fbxn[3_i^!|Ç[ ^jd±O^± ]iX¯]i®3^$spbvn]fbpd a!XTdn]5ghd8]
]ibpY$^mwm]i®3^fXZ_o±8^H_^±$scbxn]5n'g_^gTaHa!\3Y.\3svgh]^± bcÊ
d ÙÆ b È]bpY<^gTín `^HspsÇy
µ
ø
Jôà
ßLK6Ú
QßPXU
ÚåÛ
OONMÚù
ß(S/ãZGP
Ý
Q/à
Ú
ÚåPXUûú?T\ZPRQK
T:RiK6T\Û
Ú
S/Ú7ú?ÚßåQûQEÞ,úÚK
"{ gZao®1]5ghd±8^HYN_^H[^g]+[gbp_2bcdf]®3^sp^!ru]iY$Xmn-]a!Xlm^H_bcd3³n^H]/üruXZ\,d±1bpd { ®©gZn^¶Vn-[^a|
b«q^ng [©gh_]ibxa!\,sxgh_]ogd±O^HY&_^H[^g]X8aHa!\,__^jda!^mwLghd±?®3^Hd©a!^g[©gh_]ibxa!\,sxgh_§]oghd©±O^HY
_i^H[^gh]]q8[^myzƽXZ]^J`'^fg_^d3XT]z]ogsod8bpd3³ gh²XZ\3]z]i®3^f_^H[^g]ona!Xlm^H_^±²8q$g1_i^H[^gh]
[gbp_jw¹²,\3]"XZd3scq1]®,^nbpd,³Zsp^_^j[ ^gh]n[^a!«b q^±1²8q1]i®3^z[ghbc_"bp]on-^Hstriy8È ^HD] ü±O^Hd3XT]^]®3^
n-^H]fXhrz]5ghd±8^HYà_i^H[^gh]f]-qO[^n§n[^a!«b q^±?²OÏ
q ü1R
y eVX´bpd8]_X8±8\a!^]®,^bv±O^gXr { ®gZn-^
¶i¶w `'^Y$XZ]ibplTgh]i^zbp]"²Oq.nigHqObcd3³f]®g¨] `'^ `XZ\3sv±bx±8^ghscspqfspsb dm^z]X1Y gh3_ dÙ]®3^^Hd±8[ XTbpd8]on
Xr']i®3^_^j[ ^gh]onbc_
d üô±O\,_bpd,³ { ®gTn^.¶i¶.y ~:GX `'^jlm^H_Hw3²^aHg\n^.Xhr]ibpY$^Ùa!XTdn]i_oghbcdO]5n!w
]i®gh] `zbcspszd3XT]² ^´[Xmninbc²3sp^mw/ghd± { ®gZn-^?¶iå¶ `zbpscs'XTd3spqY gh3_ dç]®,^Q^jd±O[XZbcdO]5n1Xhr g
[g_]ibxa!\3svgh*_ f[ik±pfGmº#üª3Xr ü/y e'®3^ru\3spsL^HÅO[,sxghd©gh]bcXZdruXT_z]®3^§\n^XNr üJª`zbpscs®gHlm^:]iX
`/ghbp]z\,dO]ibpsA[©gh_]Xhr { ®gZn-^¶i¶¶bvn'bpd8]_iX8±O\a!^±Ly
r (Ã!Æ aÈ ±O\3_bcd3³ gscbpd3^g_|Ç]bcY$^mw
{ ®gZn-^¤¶¶[3_iX8a!^nn-^nQ^jlm^H_q¤d3XTdO|_iXmXZ]?d3X8±8^XhL
±>À1(ñwiDç]_5glm^j_ongs*
y eVX´n]5gh_]jwA^gTa®°sp^gHr bvn0³Tbplm^Hd°]®3^Ùspbxn-å] üÙÆ ÈzaXZY$[3\,]^±$bpd
± üª,bxn']®,^Ã^jY$[3]-q.n^H]jy"e:\3_ibpd3³]i®3^f]_ogHlm^H_5ngswm^gZao®´bpd8]^H_idghsLd3X8±O^ *
{ ®gTn^Ù¶owghd;
`zbcsps² ^³Tbplm^HdEnXTY$^1^Hd©±¹|[XT_]bcXZdçXhr0gspbvn]³Tbplm^Hd°]X$XTd3^Xrbp]on§a®3bcsx±O_i^HdçÆ±O^j]oghbcsxn
²^HscX `È5y e'®3^scbxn-]:³Tbplm^Hd´]´
X *¡`zbcsps²^.±O^Hd3XT]^X
± ü1/Æ *©ºÈ ÐA²8qQbcd±O\a]bpXTd?gd4
± ^HY$Y´g
»8w üÙ+Æ *3È'bvn0³T\gh_5ghd8]^H^±¯]iX$²^.nXT_]^±¯²Oq°±O^a_^gTnbpd,³XT_o±O^H_§Xhrbp]5n0sc^Hd3³Z]i®¯^Hd8]_ibp^ny
e'®3^ ghsc³ZXZ_ibp]i®3Yà[3_iX8a!^nin^nz^gZao®¯d,X8±On
^ *?òÆ `z®3bva®Ea!XZ\3sv±Q²^g.sp^gHr!È5yw `z®,Xmn^[©gh_^jdO]
bvnz±O^Hd3XT]^,
± 8VwgZn'ruXZscspGX `:n v
ý øûmøõó
ó ZøûmDõ úõHó"%ó Z*ø ZøõH÷#ý ,V%ó Zø "$þ%ó þfbü ÿ
Û øoó§bü m +V÷møöZýhó-ø%
î
ø ÿÃýTú2ýTö13ó Zø öhó-øú
ýTú#ý ,V%ó Zøzøo1÷ øÙü
ê ,c í ü k[AAõöZ÷møùNúøû¹øõHó§bü m + øöZ÷mþ/õHó"öZýZ÷mG
î
A/ZøR
ö F¹>ø Gö
ZóýTúøz%ó Zø
ö mùFmøú ß ü ýTö1øo1÷ ø ü î ÿVóýÙú>ø =oýTú÷3ó mõHóbü m î +VøöZ÷mDþ ß ü k
=>mõú-#õ =oóøú
þ , úýZ
ù .#õ "
ýTö Ãøo1÷ ø ü î ÿ
ý HøÙbü m î +,uúýTÏ
ù þfbü ÿ|×8ýZú2%ó Zøz>ø 'mûmý!þ
!ó
ýTö 3û "#õ =oø§ûmDõ úbü m î +Eöhó-8ý "$
þ-Dó þ ª ý øù#
É»
î
ÿ>
øöZ÷
ø
ó%ZøúNþfübÿ
þ"ø>'mõZþ-ó-øo÷IOýTúÙ ük>
öhó!$">
`mbcda!^]®,^]_ogHlm^H_5ngs2bxn:²XT]]XTY|Ç\3[Vwg$d3X8±O^28ãbvn [,_X8a!^nin^±?XZd,spq?gHru]^H_ ghsps"Xr
bc]on"a®,bpsx±8_^Hd.®gHlm^:²^H^jd$[3_X8a^nn-^±Ay ä ®3^H´
d 8bxn"[3_X8a!^nn^±bp]/`'XT\3sx±.² ^ gh[3[^gspbpd,³
]iXQY<^H_³T^!|-n-XZ_i]:]i®3^$a\3__i^HdO]spbvn]5n:Xhr/]®3^.ao®3bpsv±O_^jd¯Xh"r 8VwVgZaHaXZ_o±8bpd3³´]X´]i®3^sp^Hd,³Z]®
^Hd8]_ibp^nXhrV]i®3^z[gbp_onw8ghd±³Tbplm^z]i®gh]"Y$^H_i³Z^±fspbvn]2]iX 8Vy"¶rL]®g/] `'^H_i^±OXZd3^zruXZ_"^gTa®
d3X8±8n
^ 8 wL]®3^Hd?]i®3^.ghsc³ZXT_bp]i®3Y `XZ\3sv±¯_^aXZ_o±´]®3^^jd±O[XZbcdO]Xr^gZao®?_^H[^g]bp_
d ü y
~:GX `^Hlm^H_Hw3Xlm^H_z]i®3^^Hd8]bc_^f]_i^H^mw]®g]fgh[3[,_XmgTaX
® `XZ\3sv±¯]oGg dm
^ Æ b Èz]bcY$^:ruXT_]®3^
Y$^j_³Z^n!w3^Hlm^Hd´]i®3XZ\3³T® ]i®3^n-ob rH^fXrzgsps]®3^Ùspbvn]onzbxn ÙÆ bVÈoyfµ'\3]jwAgTÒn `zbpscsV² ^[,_Xlm^±
bcdQ]i®3^fd3^HÅ8]n^a]bpXTdVwOY<^H_³Tbpd3³ aHghd´²^gHlmXZbv±O^±$gTn/ruXTspscX `ny
µ'^!ruXT_^]i®3^]_5gHlm^H_onighswmsvgh²^HsV^gTa®$d,X8±O8^ `zbp]®<]®3^fn-Y´ghscsp^n-]"sp^gHrdO\3Y.²^H_"bpd$bc]on
n-\3²3]_i^H^my½:XZ]i^f]®g]:]i®3^fsxgh²^Hs gh]^gTa®´d3X8±O=^ 8¯g³Z_^j^ín `zbc]®°]®3^fsxg²^HsVXhr"^jÅ3gTa!]scq
XTd3^"Xhrbc]onVao®3bpsv±O_^HdæEy e'®3^HdÙ±O\3_ibpd3³z]i®3^"²XZ]]iXZY|Ç\3[Ù]_ogHlm^H_5ngswgru]i^H_ghscsm]®3^
a®3bcsx±O_i^Hd
Xrzgd bcdO]i^H_d©ghsd3X8±O2
^ 8ã®gHlm^Ù² ^j^Hd?[3_X8a^nn-^±Awn^H]§]®3^scbxn.] ü1/Æ 8AÈowA³Tbplm^Hd°],
X 8VwA]iX
]i®3^a!\,__^jdO]zscbxn8] üÙ+Æ *3Èow `z®3^j_:
^ *$bvn0]i®3^Ùa®3bcsx±$Xh%r 8`zbc]®¯]i®3^n-Y´ghscsp^n-]'svgh²^Hs*y e'®3^
]i_ogHlm^H_onighs3d,X ` ]5g dm^/n 1Æ b È ]bpY<^mwZn-bpda^:]i®3^nsb rH^:XrV]i®3^:XT_bc³Zbpd©ghsspbvn]on2bv@n ÙÆ b È5w3gd±
d3X<spbxn-]ongh_i^1Y$^H_i³Z^±LÒy ¯XT_^HXlm^H_jw3btr"d,X8±On
^ 8¯bxnzsxg² ^jsp^t
± `zbp]®°sp^gHr w]®3^jd?]®3^ gZa!]
Xra!_i^gh]ibpd3³´gd
± ³ZbclObcd3³ °g$spbxn-]:]iû
X 8 bxn:bcY$[3sc^HY^jdO]i^±²8q¯[gTnnbcd3³?g$[XZbcdO]i^H_]iX
8¯]i®gh][XTbpd8]onz]X$]i®3^g[3[3_XT[3_bvgh]i^[ X nbc]bpXTd?bpd°spbxn-
] üÙÆ È5Òy ~^Hda!^ { ®gZn-^.¶¶']5g dm^n
ÙÆ bVÈ']ibpY$^ y
^HD
] üª8²^:]i®3^§n^H]"Xhr ±Obxn-]bcda!]2]5ghd±O^jYô_^H[^g]]-q8[^n"n[^a!«b q^±²OqÙ]®3^[ghbc_on2bpd
ü*ªLgh]z]i®3^^Hd±$Xr { ®gTn^Ù¶¶oy'W"sp^gh_scqm
w üª3bvn']®3^Ùn-^H]'Xr2]5ghd±O^jYÑ_^H[^g]z]-qO[^n"]®g]
g_^1_i^a!XT_o±O^±´bpd (fÆ a"Èowgda
± üªLbxng$n\,²n^H]§Xhr üôgd±¯Y$bc³Z®8]z² ^ g$n]i_bva!]n-\3²n-^H]Hy
e'®3^f\3]ibpscbp]-qXhD
r üJªI`zbpspsL²^Ã^jÅO[3svghbcd3^±bcdQ]i®3^fd3^HÅ8]n^a]bpXTdVy
Jôà
ßLK6Ú_OOONM
T:R©Q/à
Ú
KZGP
Ý!(QÕT
S/ÚåYTS¨U
Q@à
Ú
Ú8PXUûúT\ZGP\QK
RkWXÜGÜóU\TVYß#"4WXÜ[ß.S@Þ
e'®3^Ù^Hd±´_^n-\3sp]Xhr { ®gZn-^.¶¶'bvn0]i®3^±O^a!XZ_5gh]bcXZd°Xhr]®3^ n\k<Å´]_i^H^8`zbp]®?]i®3^1^jd±¹|
[ XZbcdO]5nXr]®3^]ogd±O^HY _^H[^g]']-q8[ ^n
bcd;üªcy ä ^Ò`zbcspsd3XG` \n^]®,Xmn^f^Hd©±O[XZbpd8]on2]iX
qd©± ]i®3^:^jd±O[XZbcdO]5n
Xr ghscs3]®3^]ogd±O^HYô_i^H[^gh]5n2bpd.]®3^'ru\3scslmX8aHgh²3\,sxgh_iqXhræ]oghd©±O^HY
_i^H[^gh]5n!/y e'®38^ dm^Hq<ghsc³ZXZ_ibp]i®3Y$bxaXZ[^H_og]bcXZd´bxn']i®gh]Xhr
g¡f[iZ>A@Gñ²«+ÒB$j²Bwy`z®,bxao®$bxn
g.a!XZY<Y$XZd.XZ[^H_5gh]bcXZd°bpd´²3\3bcsx±Obcd3³gd±Q\n-bpd3³<n\ $Å$]i_^H^n!y
W"XZd©nbx±8^H_g0]5ghd±8^HY _^j[ ^gh6] ^6^ ® ðC#w `z®3^j_^ ð:bxnLg:n-bpd3³Tsp^"ao®g_ogZa]^H_jy+
Ä f[iZ>A@Gñ
²«+ÒB%$j²§B ÆXT
_ $j²§BçruXZ_.n-®3XZ_i]!È:ru_iXZY ]®3^<^Hd± X8r ^6^§q_5n]1Y<Xhlm^n:]Xçg´spX8aHg]bpXTd
É
w
aw
u
a
u’
β
β
v
¾+bc³Z\3_i^1v/e'®3^±8^:qd3bc]bpXTd$Xhrgn-\k$Å<spbpd£d\`/ghsodLy
cb d-(ÃÆ!aÈ/sxgh²^Hsc^±`zbp]i®?]®3^<n]i_bcd3³¯yRe'®3^H_^.g_^.]!`'X´aHgTn^n]iX¯aXZdn-bx±O^H_jy¶d?]®3^
q_5n] aHgZn-^mwV]®3^.^Hd±¹|ÇspX8ajgh]bcXZdbcd_(fÆa"ÈXhrí^^bxnfgh]ÙgQd,X8±O^,*y$¶d ]i®3bxnfaHgTn^mw]®3^
n-k\ $Åm|Çspbpd£d`zghssd\q_5n]'Y<Xhlm^ngspXTd3³]®3^Ùn-\k$Å.spbcdd°Æ+* ¸ *Óª
È ]X]i®3^fd3X8±O^*Óª8sxg²^Hsp^±
y¶d]i®3^°n^aXZd±¤aHgTn^mw2]i®3^´^Hd±O[XZbcdO]X8
r ^6^ábvnn]_ibxa!]ispqçbpd]i®3^´bpd8]^H_ibpXT_ÃXrfgd
^±8³Z^Ù+Æ 8 ¸ *3ÈV^Hd8]^H_ibpd3³ *y+¶d.]®g]zaHgTn^mw8±O^jd3XZ]i^ ü/Æ 8æÈæ²OR
q ðïÃw8gd±sp^jÙ] <ç±O^Hd3XT]^]®3^
Æud3XZdO|Ç^HY$[,]qÈ"[3_i:^ qÅ´Xhr]®,^1sxg²^Hs+Xr^±O³Z^´/Æ 8 ¸ *©Èn-\ao®¯]®©gh7] ® ïD<áÆÇn^H^ ¾+bp³T\3_^
mÈoy"¶d]®3bvn2aHgTn^mwm]®,^ `zghss d.n]5gh_]ibpd3³Ùg]]i®3^z^Hd±Xh-r ^^Vq©_on]"Y$Xlm^nV]Xfd3X8±87^ 8Vwmgd±
]i®3^HdruXTspspGX `n']i®3^fn\ $Å.spbcd dXr2d,X8±O^ 8 ]iX.g1d3X8±O^Ù±O^Hd,XZ]^± 8ªcy"µ'q$aXZdn-]_\©a!]bcXZdVw
]i®3^´n\ $Åscbpd d¤/Æ 8 ¸ 8 ª ÈfbvnÃsxg²^Hsp^?
± ð w"gd±]®3^$d,X8±OP
^ 8 ª bvnÃsxg²^Hsp^?
± ïÃyç¾3_XTY 8 ª w
]i®3^n-k\ $Åm|Çspbp£d d`zgos druXTspspGX `nz]®3^Ù[gh]i®¯svgh²^Hsp^± < ÀÆ `z®3bxao®°ghos `/gHq3nz^HÅ8bxn]5nÈ"\3d8]bcsVbp]
_i^gZao®3^n']i®3^f^Hd±¹|ÇspX8aHg]bcXZd´Xhrn-]_ibpd3:
³ ® ï"<y
\ $Åm|Çspbp£d d(`zgos d_i^gZao®3^n2]®,^:^Hd©± Xr n]_ibpd3³ wmbpd.^Hbp]i®3^H_2Xr]®3^!] `'X
ä ®3^Hd.]®,^n-k
aHgTn^nw ]i®3^gsp³TXZ_bc]®3Y&]^n-]onzbtr"]i®3^H_i^1bxnnXTY$^1[©gh]®´ru_XTYà]®,^1^Hd±8[ XTbpd8]:XFr ?]®g]
n-]ogh_i]oEn `zbp]i®Ã]i®3^a®©gh_ogTa!]^j6_ ð1Æ]i®3^n]og_]ibpd3³ao®gh_5gZa!]i^H_VXhyr ^^2Èoy ¶Çr,]®©gh]a!XTdO]ibpd8\gh]ibpXZd
^HÅ8bxn-]onw3]®3^Ùghsc³ZXT_bp]i®3Y7Y$Xlm^n]iX]i®3^1^jd±O[XZbcdO]Xhrn-]_ibpd3n
³ Kð wgd±Q]i®3^n-k\ $Åm|Çspbp£d d
`/ghos d?bvnfaHghscsp^
± f[ik>:m%f>f+n[iÓ²Ð"XZ]i®3^H%_ `zbxn^.]®,
^ `zgos d?]^j_Y$bcdgh]i^ngh]Ù]®3^.^Hd±8[ XTbpd8]1Xr
gd±}bvnaHgspsc^
± iÓf[ik>:m%f>f+n[iÓ²
yÄ&n\aHa^nnru\3s `zgos d ru_iXZY ðC a!XZ_i_^n-[XZd±3n.]X g
_ibp³Z®8]|Ç_XT]og]bpXTdXhír ðCwa!_i^gh]ibpd3³´]®,^]5ghd±O^jY)_^H[^g] KðR
y ~:^Hda!^.g$_i\3dXhr/_bc³Z®8]|
_iXZ]og]bcXZdnbpÏ
d a4±O:^ qd,^nX
g p¢£j1+?Xhr/n\©aHa!^nin·ru\36s `zgos d,n!wA^gTa
® `zgos d°n]5gh_]ibpd3
³ `z®3^H_^
]i®3^f[3_^Hl8bpXT\n'XZd,^Ã^jd±O^±Ay
¾3XZ_.:^ a!bp^Hd©a!qmw+XTd3^¯bcY$[3sc^HY^jdm]ogh]ibpXTd±O^j]oghbcszbxnd3^H^±8^±bpd¤]®3^°n-^a!XZd©±¿aHgTn^my
g `zgos d´ruXZspscGX `n:]®3^.[g]®çsxgh²^Hsc^;
± <}ru_iXZY&d3X8±O,
^ 8ªcw bc]faHgd ]i_ogHlm^H_on-^1^gTa®
ä ®3^jd
É
^±8³Z^,3XZdç]®3^.[g]®bcda!XTdn]5ghd8]1]ibpY$^mwd3X°Y´gh]i]^H_®3XG`ôspXTd3³´]®3^.sxg² ^jsXr31bvn!y
e'®3bvn'bxngZaHa!XTY$[3scbxn®,^±1²Oq.\n-bpd3³]i®3^Ùn d8bp
[ Ña!XZ\3d8]']i_bvpa d]i®gh]zbvn'n]5ghd±,gh_o±´bpd$Y ghd8q
n-k\ $Å.]_i^H^fgsp³ZXT_bc]®3Y´n v"nbcda!^fg1[g]®´sxg²^Hsp^n
± < Y.\n]^HÅ8]^Hd±ru_XZY 8 ª w3gdOq<^±O³Z^
`z®3X n^fsxg²^HsAbvn'n®,XZ_]i^H_z]®©ghdçÆ]i®3^_^jY´ghbcd±O^H_"Xhr
È < aHghd´²^f!n dObc[3[^±$bpd$XTd3^fn]i^H[Vw
gd±ã]i®3R
^ `zghss dça!XZd8]bcdO\,^±?gh]f]®,^d3^jÅO]d,X8±O
^ `zbp]i®?]®3^<gh[,[3_XT[3_bvgh]^jspq?]_i\3daHg]^±
n-k\ $Å´Xr <'ye:^j]^H_iY$bpd3bcd3(³ `z®,bxao®¯^±O³T^1]iX]i_ogHlm^H_on-^Ãru_iXZY&ghd8q´^Hda!XT\3dO]i^H_^± d,X8±O^
n-bpY$[3scq$_D^ ]¹\3bc_^n qd±Obcd3³$]®,^\3d,+b ]m\3^1^±8³ZR
^ `z®3Xmn-^svgh²^Hs"n-]ogh_i]on `zbp]i®?]®3^.aXZ__i^a!]
d3^jÅO]ao®gh_5gZa!]i^H_'Xr <y2¾3XZ_Y$XZ_i^f±O^H]5ghbcsxnXTd¯]i®3^Ùn d8bp[ Ña!XZ\3d8]z]_ibx>a d$n-^H
^ À\ni~¹G¸
y
½:GX `¿]i®gh]]®3^n-k\ <Ź|Çspbcd d`zgos d1®©gZn²^H^jd$±O^ qd3^±A1w `^aHgdY<XZ_^'ru\,spspqÙ^HÅ8[3sxgbpd
]i®3^f\3]bcspbp]-qXDr üªcy ä ^Ù±O:^ qd,^1g.n^j7] ü E Xhr ]oghd©±O^HY7_^H[^g]z]-qO[^n']iX²
^ f[i?>Ë#òmpk
br']i®3^^Hd±8[ XTbpd8]bpd (fÆ a"ÈXhr/^Hlm^H_q´]5ghd±O^jYà_^j[ ^gh]bcd?]®3^lmX8aHg²3\3svgh_q?X*r aaHghd
²^´_^gTa®,^±²Oq¤n-XZY$^ a®gbpd¤XhrÃn\aHa^nnru\3szn-k\ $Åm|Çspbp£d d`zgos d,nn]og_]ibpd3³?ru_XTYÔ]®3^
^Hd©±O[XZbpd8]zbpû
d (fÆ a"È2XrnXTY$^]5ghd±O^jYÑ_^H[^g]:]-q8[^Ãbc;
d ü Ey
'®3^Ùn\3²n-^H]#üJª3XhrFüN±8^:qd3^±´±O\,_bpd,³ { ®gZn-^Ù¶¶bvn'gn-\k´abp^Hd8]n^H]
Xr2]5ghd±O^jY _i^H[^gh]z]-q8[^n!y
ÂÂ
&
e
µ'qÙ]®3^§±O^:qd,bp]bcXZdn2Xrgfa®©ghbpdXrE`/ghsod,n"ghd±.gÃ_i\3d°ÆXhræ_bc³Z®8]2_XT]ogh]ibpXTdnÈ5w
|
brz]®,^[gbp_.Æ ¸ ø·È0a!Xlm^H_on]®,^[gbp_.Æ ì1¸ ø·ÈbpdBawV]®3^Hd g¯ao®gbpdçXhrn-\aHa!^nn·ru\,s@`/ghssd3n
bcP
d (fÆ a"Èzn-]og_]bcd3³°gh]]i®3^1^jd±O[XZbcdO]Xr]®3^Ù]oghd©±O^HYà_i^H[^gh] Æ ¸ øÈY\n-]z_^gTa®°]®3^
^Hd©±O[XZbpd8]"Xhræ]®3^]ogd±O^HYô_i^H[^gh]Æ ì1¸ ø·È5y2¶]2ruXZspscGX `n
]i®ghD] übxn"n-k\ ´abp^Hd8]HwTnbcda!8^ ü bxn
g´Æsc^!ru]Y$X n]È"a!Xlm^H_ibpd3³.n-^H]Hy ¯XZ_i^HXlm^H_Hw3²8q$]_5ghdn-bp]ibpl8bp]-qmwObr2]i®3^1^jd±O[XZbcdO]zXr"^Hlm^H_iq
]5ghd±O^jYô_^H[^g]']-qO[^bcd übvn_^gZao®3^±²Oq.gÙa®gbpd.Xh6r `/ghos d,n
ru_iXZYô]i®3^^Hd±8[ XTbpd8]'Xr
n-XZY$^]5ghd±8^HYÑ_^j[ ^gh]]q8[^bpP
d üJªxwO]i®3^HP
d üªbxnzgsxn-X$n-k\ ´abp^Hd8]Hy
e::^ q©d3:^ üªª]X²^1]i®3^Ùn^H]zXr"]ogd±O^HY7_i^H[^gh]z]-q8[ ^n'bpP
d ü½`z®3Xmn-^^Hd±O[XTbpd8]on'bpd
(f
Æ a"È gh_i^ "_^gZao®3^±²Oq.gdOq.ao®ghbcd$Xhr n\aja!^nnru\3Is `zgos d,n
ru_XTY üªxÕy e XÙ[3_Xlm^]®3^
]i®3^HXZ_i^HY?wgTnn\,Y$^1ruXZ_faXZd8]_ogT±Obxa]bpXTdVwA]i®gh] üJªª®(
¬ ' ¯
y ^H.] üÒªª*) ü²^.]®3^.n-^H]Xr
[gbp_5n bc
d ü `z®3bva®çn-[ ^a!btruq°]oghd©±O^HY)_^j[ ^gh]]-q8[ ^n bc_
d üªªc
y ^H]Æ ì1¸ ø·È²^$g$_i^H[^gh]
[gbp_bp
d ü*ªª,n\ao®$]®©gh] ì bxnnY´gspsp^j_2XZ_G^ ]¹\©ghsA]iX1]i®3^[Xmn-bp]bcXZd´^Hd8]_iqXhr ghd8q.[ghbc_'bpd
ü*ªªcí
y ^H*] ^6^¤±O^Hd3XT]^f]®,^Ã]5ghd±8^HYÑ_^j[ ^gh]]q8[^fn[^a¥b q^±$²8q?Æ ì1¸ ø·È5y
W"sp^gh_scqmw'br ì `'^H_i^¯]i®3^¯sc^!ru]Y$X n].n-]ogh_i]bcd3³[Xmn-bp]bcXZd X
r ^6^Cbc©
d a ]®3^jd Æ ì1¸ ø·È
a!XT\3sx±$d3^jlm^H_'®gHlm^f²^H^Hd°_^HY$Xlm^±bpd { ®gTn^¶i¶ow3nXEÆ ì1¸ ø/È `'XT\3sx±$²^1bcÊ
d ü ª ghd©±Qd3XT]
bcÊ
d ü ªª yz`mX,w3]®3^Ùsp^!ru]iY$Xmn-]'X8aHa!\,__^jda!^Xr ^^Y.\n]n-]og_]§gh]§nXZY<^[Xmnbc]bcXZP
d ï:9 ì y
½:GX ` ²^aHg\n.^ üábvn'gfsp^!ru]iY$Xmn-]"a!Xlm^H_bcd3³Ùn^H]jwO]i®3^H_^bxnnXTY$^:[©ghbp_,Æ + ¸ ø/È ó4üù`z®3bxao®
a!Xlm^H_5n1+Æ ï ¸ øÈoy´µ'\3] + ë ï9 ì w nX¤,Æ + ¸ øÈzbvnÃbpB
d ü ª ²8q?]®,^´a®,XZbxa^Xhr ì t
y ~:^Hda^.g
ao®ghbcd´Xh/r `/ghos d,n'bp¾
d (Ã!Æ a"È2ru_XZYÞ]®3^Ù^Hd±O[XZbcdO]zXr"]®,^1]ogd±O^HYÞ_^H[^g]n-[ ^a!¥b q^± ²8q
ɼ
,Æ + ¸ øÈ"Y.\n]_^gTa®°]®3^Ù^Hd±O[XTbpd8]:Xr^6^}bcdP(fÆa"ÈowLg$a!XTdO]i_ogT±Obxa!]ibpXTdVy ä ^.a!XTda!sc\±O^
]i®gh]ü ªª bvn'^HY$[3]-qmw ghd±Pü ª bxnzn-\k´abp^Hd8]Hy
µ
½:GX ``^g_^_^gT±Oq.]Xf[3_^n^Hd8]"]®3^ { ®gZn-^f¶¶i¶2ghsc³ZXZ_ibp]i®3Y `z®3bxao®<±O^a!XT_ogh]i^n2]®3^
n-k\ $Å´]i_^H^my ¬ ^ajghspsV]i®gh] ghd?^Hd±8[ XTbpd8]:Xr/g ]5ghd±O^jY _i^H[^gh]§bpa
d ü ª bxnz_^a!XT_o±O^±Qbpd
(f
Æ a"ÈXZd^±O³Z^?/Æ 8 ¸ *©È/btr]®,^_i^H[^gh]Ù^Hd±3nÙgh]1d,X8±O,
^ *¯XZ_Ùbpd]i®3^.bpd8]^H_ibpXZ_fXr^±O³Z^
/Æ 8 ¸ *©È5y ä t
^ `zbcspsa!XZd8]bcdO\,^$]X?\n-^´]®3bvn1a!XTdOlm^Hd8]bcXZd]iX?_^aXZ_o±ç]®3^´^Hd±8[ XTbpd8]on1Xr
gT±3±Obp]ibpXTdghs]oghd©±O^HYÔ_i^H[^gh]5n1]®g
] `'\
^ qd©±AÏ
y ~:GX `'^Hlm^H_jEw `'^´±Obvn]ibpd3³T\3bxn-®}²^H!] `^H^Hd
]5ghd±O^jYÑ_^H[^g]onzbpP
d üª©ghd±´]®3^fd3#^ `XZd,^n/ruXT\3d±´bpd { ®gZn-^1¶i¶¶oy
Äz]+]i®3^'®3bc³Z®sc^Hlm^Hsw { ®gTn^¶i¶¶A^HÅ8^a!\3]i^nVg:scbpd3^g_|Ç]bcY$^zƱ8^H[3]®8ò| q_5n]"nigHq ÈV]i_ogHlm^H_-|
nighs'Xr (fÆ a"È5X
y e'®3bxnf]_5glm^j_ongs'bvnÃbpd8]^j3_ `'Xlm^HX
d `zbc]®¤n-k\ <Ź|Çspbcd d4`/ghss d3ny?¶d¤±O^H]5ghbpsÇw
`z®3^jd ]i®3^]i_ogHlm^H_5nghs ^Hda!XT\3dO]i^H_on§gQ]ogd±O^HY&_^H[^g
] ^6^¿bpA
d üªV_i^a!XZ_5±O^±çgh]ÙnXTY$^
^±8³Z^Ù+Æ 8 ¸ *3ÈowZbc]^jÅO^a\3]^n g1ao®ghbcdXr nk\ <Ź|Çspbcd d(`/ghss d3n2bp2
d (fÆ a"ÈÆn]5gh_i]bpd,³Ãru_XTYô]®3^
^Hd©±Xhr ^^2Èow3]i(X qd±´ghd©± _i^a!XT_o±$bp,
d (fÆ a"È
ghspsLXhr ]®3^§_bp³T®O]z_iXZ]5gh]bcXZdn'X/r ^6^`z®3bxao®
g_^1]5ghd±8^HY7_^H[^g]on!y e'®3bxnao®gbpd´Xh/r `/ghss d3nz^Hd±3nz]®,å^ q_5n]]bpY<^fghd°\3dn\©aHa!^nin·ru\3s
`/ghos d?^jd±3n!wXZ_Ù]®3
^ q_on-]1]ibpY$^Ù]®g]g¯n-\aHa!^nn·ru\,s `zgos d?^Hd±,n1gh]Ù]®3^.^Hd±8[ XTbpd8]1Xr
g1]5ghd±O^jYÑ_^H[^g]:]i®gh]z®©gZnghsp_i^gZ±8q$²^H^Hd´_^aXZ_o±8^±$bpû
d (Ã!Æ a"Èoy2Äzru]^H_z]i^H_Y$bcdgh]ibpd3³
]i®3bxn.a®©ghbpd¤X8r `zgos d,n!w']i®3^°ghsp³TXZ_ibp]®,Y _i^H]\,_dn]Xç^±O³T^+Æ 8 ¸ *3Èoy4¶]^HÅ8^a!\3]i^n1XZd3^
ao®ghbcd?Xhr `zgos d,n:ruXZ_^gTa®?]5ghd±8^HYà_i^H[^gh]fbp_
d üJªA_i^a!XZ_5±O^±¯XTd ^±8³Z^´+Æ 8 ¸ *3ÈoyÙÄ0ru]i^H_
gsps3Xr]®3^n-^ `zgos d,n
®©glm^z²^H^jd^HÅ8^a!\,]^±AwT]®3^§ghsc³ZXZ_ibp]i®3Y a!XZd8]bcdO\,^n+bp]5n+spbcd3^g_|Ç]bpY<^
]i_ogHlm^H_onighsXh"r (Ã!Æ aÈ"ru_XTYà^±8³Z^´+Æ 8 ¸ *3Èoyf`mXZY<^gZ±,±Obp]ibpXZd©ghs2bcY$[3sp^jY^Hd8]og]bcXZd´±O^j]oghbcsxn
`zbcspsA²^fbpd8]_iX8±O\a!^¡
± `z®,^Hd¯]i®3^f]bpY<^gdghscq3n-bxn'bxnzaXZdn-bx±O^H_i^±Ay
¶d¯]i®3^1^HÅ,ghY<[3sp^fn-®3GX `zd¯bcd?¾+bc³Z\3_i^~Ow]®,^1[gbp_ÙÆ ÉZÉ ¸ ¼¹È Æ_^j[3_^n-^Hd8]bpd,³]oghd©±O^HY
_i^H[^gh
] ³³´y³³´Èbvn bcd¿scbxnt
] üÙÆ ÉTÉ Èow²3\3t
] ³k³´I³k³´bxnd3XT]$bpð
d üªÆu²^aHgh\©n^?Xhr sp^gHr
»mÈo/y ~:GX `'^jlm^H_Hwm]®,^1^Hd±8[ XTbpd8]zXhr ]ogd±O^HYÑ_i^H[^gh8] ³´y³³´I³fbxn'bcP
d üªcwghd±´] `X_bc³Z®8]|
_iXZ]og]bcXZdnfXhrbp] a!_^gh]t
^ ³³´I³k³´L\
y ~^Hda!^]i®3^^jd±O[XZbcdO]ÙXhR
r ³k³´I³k³´¯bvn _i^gZao®3^±?bpd
\ <Ź|Çspbcd d`zgos d,n!y
{ ®gTn^¶i¶¶"gru]i^H_] `X.n\aja!^nnru\3sVn-k
-íþ3ÿ
1 ÔÑÔ
" , »
"3/.0.0.
õGÂ32ÆG¿6ÂkÃ#Ã
{ ®gZn-^Ù¶¶¶"a!XT__i^a!]scq1_i^a!XZ_5±3n]i®3^^Hd©±O[XZbpd8]'bcd,(fÆa"ÈXhr ^gZao®]5ghdO|
1 ±O^jYÑ_^H[^g]zbpd´]®,^ÃlmX8ajgh²3\3svgh_iq$Xhray
ÂÂ
Ô¬ ^aHgsps]®g]7üª8bxnn\k a!bp^jdO]jwOgd±´gÃ_i\3d´Xhr_bc³Z®8]|Ç_XT]ogh]ibpXTdnru_XTYÑg1[gbp_
Æ ¸ øÈa!XZ_i_^n-[XZd±3n]iX?g´a®©ghbpd?Xrn-\aHa!^nin·ru\3s
n\k<Ź|Çspbcddt`zgsod,n ]i®gh]Ùn-]ogh_i]Ùgh]f]®3^
^Hd©±O[XZbpd8]2XrA]i®3^']5ghd±8^HY_i^H[^gh]"±8^:qd3^±f²Oq<Æ ¸ ø·È5y~^Hda!^mwHbrL^Hlm^H_q a®gbpdÙXhræn\k<Å
|
ɸ
a
(3,2)
b
b (3,2) a
a
(3,2) a
a
b 15
b
a
14
10
b
a
a
b
18
17 a
b
16
a
a
(3,2)
13
12
11
8 (8,2)
9
(11,6)
(11,2)
7
5
6
4
3 (3,2)
2
1 (1,6)
¾+bc³Z\3_i^Ù~kv{
Å,ghY<[3sp^ÙÆa!XTdO]jytÈ
scbpddR`zgsod,n/ru_iXZYÑ^Hd©±O[XZbpd8]onzXhr
]oghd©±O^HYÑ_i^H[^gh]5n0bcdüJª^Hd±O^±´XZd3scq´gh]]®,^Ã^jd±QXr
gd i n-\aHa!^nn·ru\,Òs `/ghos dLwz]®3^jda!XZ_i_^a!]id3^ninXhr { ®gZn-^¶i¶
¶ `'XT\3sx±¿²^?bpY<Y$^±Obcgh]i^my
~:GX `^Hlm^H_Hwg¤ao®ghbcdáXr.n
\ $Åm|scbpd d`zgos d,n Y gq4gsxnX4^Hd±gh]´]®,^ ^Hd©±O[XZbpd8]´Xhr g
]5ghd±O^jY _^H[^g]$]®g]¯bvn$ghsc_^gT±Oq _^aXZ_o±8^±¿bp.
d (Ã!Æ a"Èoyô¶rÙ]®g]´^Hd±Obcd3³¤]oghd©±O^HY
_i^H[^gh]bxnz³Z\g_ogdO]i^H^±¯]X.²^1bca
d üªcw]®3^HdEa!XZ_i_^a]d3^nin0bvn:g³mgbpd?bpY<Y^±8bxgh]i^mw8nbcda!^
g$ao®gbpd?Xhr `/ghos d,n `zbpsps²^´ÆXT_î©gZn:²^H^HdLÈn]5gh_]i^±Qru_XTYà]i®3^^Hd±´Xhrz]i®gh]§]oghd©±O^HY
_i^H[^gh]jy
^ `zbpscsn®3GX `N]®©gh]^Hlm^j_q´ao®ghbcd´Xhr `zgos d,n0bcd { ®gZn-^.¶¶i¶'^Hd±3nz^Hbp]i®3^H_ `zbc]®?gd
ä (
\3d©n\aHa^nnru\3s `zgos dLwAXZ_Ùg]Ã]i®3^^Hd±8[ XTbpd8]Xhr0g$]ogZ±8^HYà_i^H[^gh]fbp_
d üJªpy ¾©XT_fa!XTdO]i_og|
±Obva!]bcXZdVw,n\3[,[ X n^Ù] `Xao®ghbcdn'Xhr
n\©aHa!^nin·ru\3Ks `zghss d3nzn-]og_]gh]z]i®3^f^Hd±O[XTbpd8]on'Xhr !] `'X
]5ghd±O^jY)_^H[^g]onbp_
d ü ª 6w ^6^ágd4
± ^ ª ^ ª _i^n[^a]bplm^jspqmwLghd±?]®©gh]f²XZ]® a®gbpdn§a!XZdO|
]5ghbpd°n-\aHa!^nin·ru\3Ks `zgos d,n]®©gh]^Hd\
± `zbc]®´]®3^ nghY<^]ogd±O^HYÑ_i^H[^gh*] ^ ªª ^ ªª d,XZ]bp;
d ü ªy
`m\,[3[Xmn^ÙXZd3^fXr"]®3X n^Ùao®ghbcd@n q_on-¨] qd±3nghd©± _i^a!XT_o±3nz]®3^§^Hd±$Xhr ^ ªª ^ ªª w,ghd±´]®3^
XT]®3^H_"svgh]^j_^jda!XZ\,dO]i^H_on+]i®3bxn2_i^a!XZ_5±Ay` \3[3[Xmn-^]®3^§ao®ghbcd1ru_XZâ
Y ^6^ça!XZd8]ogbpdn2Y$XT_^
`/ghos d,n']®©ghd¯]i®3^fXZ]i®3^H_ao®ghbcd¯±8Xm^n!y
Ä7n\aja!^nnru\3¨s `/ghss d bcd (fÆ a"È a!XZ_i_^n-[ XTd±3n]Xçg?_bc³Z®8]1_XT]og]bpXTd¿Xrfg?n-[ ^a!¥b qLa
n-]_bcd3³3/y ~^Hda!^mwT] `Xn-\aHa!^nin·ru\3Is `/ghos d,n2]®g]'^Hd©±$gh]]®3^§ngY$^:[XTbpd8]'bp2
d (fÆ a"ÈY\n-]
®gHlm^/ghsxn-Xfn]5gh_i]^±g]2]®3^nighY$^[XZbpd8]Hy ¬ ^j[ ^gh]bcd3³]i®3bxnV_^gTnXTd3bpd3³,wm]®3^ao®ghbcdÃru_iXZY
^6^}Y.\n]aXZd8]oghbcd¯]i®3^.a®©ghbpd$ru_iXZÔ
Y ^Eª«^Eªxyµ'\,]:]i®3bxnzbxnzd3XZ]§[ X nn-bp²3sc^bpd { ®gTn^.¶i¶¶ow
ruXT_]®3^Hd ]®3^°ao®ghbcd ru_XTY ^6^ `'XZ\,sx± ®gHlm^$^jd±O^
± `zbp]i®]®,
^ `zgos d]i®gh]^Hd©±3n1g]
]i®3^1^Hd©±O[XZbpd8]bpP
d (fÆ a"ÈXhr/n]i_bcd3
³ ^Eª«^Eªxy ä ^aXZda!sc\±O^Ù]®g]^Hlm^H_iq$ao®ghbcd¯X¨r `/ghss d3n
É
bcd { ®©gZn^<¶¶i¶0^jd±3n:^Hbc]®3^j_`zbp]i®çghdç\3dn\©aHa!^nin·ru\3s`/ghssdAwAXT_Ùgh]]i®3^^Hd±O[XTbpd8]ÃXr/g
5] ghd±O^jYÑ_^H[^g]zbpdPü ª w3ghd©±Q]®,^1aXZ__i^a!]id3^nn'Xr { ®gZn-^Ù¶¶¶"bxn'[3_iXlm^HdVy
µ
1 ÔÑb¶
(¾ÔBÂV¼£¿547698¼:21Â;¿6¼Åb6Ã#¾òÃn6¼Ã#Â=<><><
^f² ^j³Zbpdt`zbc]®´]!`'Xt^HY$Y´gTn!y
ä
¾©XT_gdOq?^±8³Z,
^ 3 ® +Æ 8 ¸ *3Èzbc_
d (fÆ a"Èowg]1Y$X n]]!`'X´]5ghd±O^jYÖ_i^H[^gh]
ÂAB¼&
]-q8[ ^n'^Hd±$bpd´]®,^ÃbcdO]i^H_bcXZ_Xhr"^±8³Z^:3XZ_§gh]d3X8±O^:*y
3¾ XZ_ ^gZao®fd3X8±O^*Xhr (fÆa"ÈowHsc^H]@? Æ+*3ÈV±O^jd3XZ]i^']®,^'sxg_³T^n]2XrLghscsOsc^grx|Çsxg²^Hsxn
bcd?]®3^<n\3²,]_^j^² ^jspXG` *ye'®3^Hdç]®,^_bp³T®O]iY$Xmn-]X8aHa!\,__^jda!^1Xrg°n\3²n-]_ibpd3³´XhrJa
`z®3X n^´^Hd±8[ XTbpd8]1^Hd©±3nÃbcd]®3^<^±O³Z^û3 ® Æ/8 ¸ *©È§n]5gh_i]ongh][X nbp]ibpXTd ® ? Æ+*3Èbpd
ay}` bpda!^´]i®3^H_^ aHghd¤²^?g]Y$Xmn-]1!] `'X?]5ghd±O^jYÔ_^H[^g]]-qO[^(
n `z®3X n^°_bp³T®O]iY$Xmn-]
X8aHa\3__i^Hda!^n.n]5gh_i]´gh]$]i®3^çngY$^´[Xmnbc]bcXZ
d $Æn-^HX
^ e'®,^HXZ_i^HY É Èowz]i®3^?dO\,Y²^H_Xr
]5ghd±O^jY _i^H[^gh]5ín `z®,Xmn^Ù^Hd±O[XTbpd8]ongh_^ a!XZd8]ogbpd3^± bcd´^±O³Z^ín `z®3bva®´^Hd©±¯gh]d3X8±O^n
`zbc]®]i®3^°nghY<A
^ ?'|ÇlTghsc\3^´bxn1²XZ\3d©±O^±²Oqç!] `'X,y ¶d[©gh_]ibxa!\,sxgh_]i®3bxnfY$^gdn!w]®g]
]i®3^H_^ aHghd°²^gh]§Y$Xmn-]:!] `'X.]ogd±O^HY7_i^H[^gh]5Òn `z®3Xmn-^1^Hd©±O[XZbpd8]on§gh_^ a!XZd8]ogbpd3^±Qbpd
^±8³Z^.+Æ 8 ¸ *3È2XT_g]zd3X8±O:^ *y
µ
|
'®3^.]XT]oghs"d8\3Y.² ^j_zXhrz^±O³Z^n]i_ogHlm^H_on-^±¯±8\3_bcd3³°ghsps ]®3^.n-\k$Åm|Çspbpd£d
`/ghsod,n'bpd { ®gTn^¶i¶¶2bxn'²XT\3d±O^±¯²8qt1Æ ç æ ç b Èoy
ÂAB¼
1 e
µ'q?W"XZ_iXZscsxgh_iq É wA]®3^d8\3Y.²^H_zXhr/±O«b ¤A^j_^Hd8]:]5ghd±8^HYà_i^H[^gh]]-q8[^n0bc
d a
|
bvn'² XT\3d±O^±Q²8q´ºby'{"gZao®°n\k<Åm|scbpddR`zgsod$²^H³Tbpdngh]z]i®3^f^Hd±O[XZbcdO]zXrg.±Obxn-]bpd©a!]
]5ghd±O^jYÑ_^H[^g]z]-qO[^mw8d3X\`/ghssdbvn'_^H[^g]^±$]!`zbxa!^ ye'®3^H_i^!ruXZ_i^mwO]i®3^f]XT]oghsd8\3Y²^H_
Xrn\$Åm|scbpddt`/ghsod,n!wgd±ã®,^Hda!^.n-\k$Åm|Çspbpd£dQ]i_ogHlm^H_5nghsvn!wAbvn² XT\3d±O^±ã²8q?ºb+y ä ^
d3^jÅO]z²XZ\,d±Q]i®3^f]XZ]5ghsdO\,Y²^H_"Xhr
^±O³Z^nzn d8bp[3[^±$²8q$]®3^Ù!n dObc[ Ña!XT\3d8]z]_bvpa dLy
e'®3^.n-k
\ $Åm|Çspbp£d d`zgos d´ru_XZY g$]oghd©±O^HYà_i^H[^gh8] `z®3X n^.^Hd±O[XTbpd8]bxnfgh] g d,X8±O^
bcdOlmXTsplm^n:d,X¯^±O³T^$!n dObc[3[3bcd3³3w®3^Hda!^.^±O³T^n1g_^´!n dObc[3[^±?XZd3sc4
q `z®3^jd]®3^<n]5gh_i]bpd,³
[XZbcdO]fXr
g `zgos d¯bvnbpd?]®,^bcdO]i^H_bcXZ_Xhrgd ^±O³Z^my.µ'^!ruXT_^.gdghsckq rHbcd3³$]i®3^]ibpY$^fruXZ_
]i®3^n^.!n dObc[n!wæa!XZdn-bx±O^j_fghd?^±8³Z^´+Æ 8 ¸ *3Èzsvgh²^Hsp^V
± `zbp]i®çn]i_bpd,³ <8y e'®3^H_i^bxng<nbpd,³Zsp^
n-k\ $Å´scbpd dLw svgh²^Hsc^
± ð´ngHqmwru_XZY 8¯],
X 8ªxwLghd©± g$n-bpd3³Tsp^ nk\ <ůscbpd dru_iXZY * ]i,
X *1ªpw
gsxnXsvgh²^Hsc^
± ðy"µ'q.a!XZdn-]_i\a!]bcXZdVw *1ª8Y\n-]"² ^Ùg±O^na!^Hd©±3ghd8]'Xr 8ªxw,ghd±$]®,^[gh]i®
ru_iXZt
Y 8ª+]iP
X *1ªVY\©n]²^.sxgh²^Hsc^X
± `zbp]®ç]®,^$n-]_bcd3;
³ <R
y e'®3^H_i^!ruXZ_i^mw2gdOqçn-k\ $Åm|Çspbp£d d
`/ghos dÙ]®g]zn-]ogh_i]on2XZd<]®3^z^±8³Z^Ù+Æ 8 ¸ *3ÈVY\©n]2^Hd©±1XZd$]i®3^z[gh]i®ru_XTY 8ªm]
X *Óªcy"Ä:³ ghbpd
²8q$aXZdn-]_\©a!]bcXZdVw8]®3^H_i^faHgdQ²^d,Xd3X8±O^Ùn]i_bxa]spq²^H!] `^H^H,
d 8ªgd,
± *Óª8]®g]z®gZnzgd
É~
w
aw
a
u
u’
β
e
No entering suffix links
can be labeled "a"
v’
a
v
+¾ bc³Z\3_i^ É Ákv"Ä:scs3]®,^n-\k$Åm|Çspbpd£d(`zgsod,n2]®g]znd8bp[.^±O³T^ 30ghd±]i_ogHlm^H_5n^g1n-\k<Åspbpd£d
svgh²^Hsp^±VðY.\n]/n]og_]XZd°]®3^ÙngY$^^±8³Z^mw3XT_gh]]®3^f®3^gT±$Xhr"]i®gh]^±O³T^my
bcda!XZY<bpd3³ n\k<Ź|Çspbcdd$svgh²^Hsp^±¡`zbc]®gð y¶]0ruXTspspXG`n']i®gh]fgdOq n\k<Ź|Çspbcdd`/ghsod<]®g]
]i_ogHlm^H_on-^n"g1n-\k$Åscbpddsvgh²^Hsc^±\ðwmY\©n]2^Hd©±²^!ruXZ_i^:^Hd©a!XZ\3d8]^j_bpd,³1gÙn^aXZd±d,X8±O^
]i®gh]®©gZnfghdç^Hd8]^H_ibpd3³<nk\ <ůscbpd d´svgh²^Hsp^X
± ð y ä ^.a!XZd©a!sp\±8^1]®©gh]fbtr 3fbxn§ghdç^±O³Z^
XTd ]i®3^[gh]i® ru_XTj
Y 8ªV]û
X *1ªpwgd± 3 bxn!n dObc[3[^± ±8\3_bcd3³°gQn-k\ <Ź|Çspbcd dt`zghss dX`z®3bxao®
n-]ogh_i]^±1²8q1]i_ogHlm^H_5nbpd,³gn-k\ <Å1spbcd dfsxg² ^jsp^.± ð wZ]i®3^Hd]i®gh] `/ghss d1Y.\n]V®gHlm^n-]ogh_i]^±
XTd¯^±O³T^.+Æ 8 ¸ *3Èoy` ^H^Ù¾+bp³T\3_^ É ÁOy
] `'^®gHlm^^n]5gh²3scbxn®,^± bvn2]®g]'btHr 3zbxn"!n dObc[3[^±$±O\3_ibpd3³ÙgÙnk\ <Ź|Çspbcd d`zgos dLw
ä ®g¨
]i®3^Hd1]i®3^"sxg² ^jsOXr]®3^n-k\ $Åfscbpd d\©n^±XZd]i®gh6] `zgos d\,d3+b ]m\3^Hscqf±O^H]i^H_Y$bcd3^ngnbpd,³Zsp^
^±8³Z8^ `z®3^H_i^]®gÒ] `/ghss d$a!XT\3sx±$®gHlm^²^H³T\3dVyµ'\3]z^Hlm^H_iq.nk\ <Åm|scbpd dR`zgos d´n-]ogh_i]onzg]
]i®3^$^Hd±8[ XTbpd8]Xhr g¯]ogd±O^HY _^H[^g]HwnX?²8
q ^jY$Y´g$3w"g]Y$Xmn-]1!] `'Xçn-k\ $Åm|Çspbp£d d
`/ghos d,naHgdçn]5gh_]fXTdgdOq°³Zbplm^jd¯^±O³T^m.
y ~:^Hda!^Ù]®3^ÙdO\,Y²^H_Xhr]bcY$^nz]®g]^±O³T¯
^ 3
aHgd¯²^.n d8bp[,[ ^± Æ^gZao®Q]ibpY$^ ±O\3_bcd3³´g.±O¥b ¤L^H_i^Hd8Ò] `/ghos dÈ"bxnz²XZ\3d©±O^±¯²8q¯º ç æ ç wAgd±
]i®3^fsp^HY$Y<gbxn'[3_iXlm^±Ay
µ
{"gZao®n-k\ $Åm|Çspbp£d d]_5glm^j_ongswXZ_^±O³T^']_5gHlm^H_onighswXZ_^±O³T^z!n dObc[1bpd íg `/ghss dÃ_iG^ ]m\3bp_i^n
XTd3spqça!XTdn]5ghd8]f]bpY<^m(y ~^Hda!^]i¡
X q©d3bxn-® ]i®3^]ibpY$^Ùgdghscq3n-bxnXhr { ®gTn^<¶¶*¶ `'^XZd,spq
d3^j^±$]X²XZ\3d©±Q]®,^Ã]ibpY$^d3^H^±O^±]iX]i^n]zbr g d3[^ `©`/ghos d n®3XT\3sx±$²^n-]ogh_i]^±´gHru]^H_
g.n\aja!^nnru\36s `zghss d$®gTn:^Hd±O^±Ay:`m\3[,[ X n^.g.n\aja!^nnru\3s nk\ <Ź|Çspbcd d`/ghos d<² ^j³Zbpd©n:g]
]i®3^1^Hd©±QXhrg]ogd±O^HY7_^j[ ^gh]Xr"sp^Hd,³Z]g
® øy¶]^Hd±3ngh]fn-]_ibpd3³|-±O^j[3]g
® øgsxn-X3wVn-X]iX
bcY$[3sp^jY^Hdm] ]®3^]i^n]jwO]i®3^Ùghsp³TXZ_ibp]®,YÑao®3^>a d3n2]iX.n^H^br g1]ogd±O^HYÑ_i^H[^gh]Xhr sp^Hd,³Z]®
ø+bvn0_i^a!XT_o±O^±$XTd¯]®,^1g[3[3_iXZ[3_ibxgh]i^1^±8³Z^$Æu]®3^f^±8³Z^1bcdO]iX.g d,X8±O^1br2]i®3(
^ `/ghos d<^Hd±3n
g]zgÃd,X8±O^mwO^jsxn^zXTd$]®,^:^±8³Z^ `z®3^j_^]®3*^ `zgos d^Hd±,nÈo/y e'®,^:]ibpY$^z]iXao®3^>a d ruXT_zn-\a®
g1_i^a!XZ_5±$bxnza!XTdn]5ghd8]n-bpda!^ wO²8V
q ^HY<Y´g3wgh]Y$X n]'!] `X]oghd©±O^HYÑ_i^H[^gh]5nzaHghd°² ^
ºTÁ
_i^a!XZ_5±O^±XTd´ghd8q.^±O³Z^ y"¾+bpdgspscqmwZ]®,^XZd3scq$gT±3±Obc]bpXTdghsæn[gTa!^d3^j^±O^±bcd { ®gZn-^f¶¶i¶
bvn \©n^±¯]iX¯_^a!XZ_5±¯]®3^.^Hd±O[XTbpd8]onXhr/]®3^.]ogd±O^HY&_^H[^g]onÃbcd-(ÃÆ!a"Èoy`mbcda!^^gTa®
n-\a®Ù_^aXZ_o±1]5g dm^na!XTdn]5ghd8]'n-[gZa^mwmghd©±1]®3^H_i^zg_^zXZd,spqgspbpd,^gh_dO\,Y²^H_VXrA]i®3^HY?w
`^1aXZda!sc\±O
^ `zbc]®´]®,^ ruXTspscX `zbcd3³
©® gZn^ ¶¶¶_\3dnfbpdÙÆ b È]ibpY$^.gd±n-[gZa!^ w2ghd©±·`z®,^HdÊq©d3bxn-®3^±Aw
]i®3^f^Hd±O[XZbcdO]5n0XrghscsV]ogd±O^HY7_^j[ ^gh]z]-qO[^ngh_i^f_^a!XT_o±O^±Qbpdû(fÆa"Èoy/~^Hda!^(fÆa"È
aHgd´² ^Ù±O^a!XZ_5gh]^¡
± `zbc]®´]®,^1aXZY$[3sc^H]^z]5ghd±8^HYÑ_^j[ ^gh]zlmX8aHg²3\3sxg_q$XrabcdÙÆbVÈ
]ibpY$^§ghd±°n[gTa!^my
ÂÂ
B
{
'µ q´g1spbcd3^g_z]bpY<^:]i_ogHlm^H_onighsLXhrF(fÆa"Èow8]®3^Ùa!XTY$[3sc^H]^lmX8aHgh²,\3sxg_q
Xr"]®3^f]5ghd±O^jY _i^H[^gh]5n0Xra4aHgd¯²^a!XTspsc^a!]^±$ghd±´XZ\3]i[3\3]ÆÇgZnz[Xmnbc]bcXZdVwsp^Hd,³Z]®
[gbp_5nÈ"bpdXÙÆbVÈ']ibpY$^§ghd©±¯n[©gZa!^my
IÅòÅÀ¼¶¿
DFEVQÕÚåPPKZ[T\PPK_T:R©Q/à
Ú
C
áâß:KZGYHGöÜ#ÝTS¨ZQ/àXÛ
' & %-
,&z,
,z
Âda!^?]i®3^çn\$Å ]i_^H^-(fÆa"Èbvn$±O^a!XT_og]^±`zbp]i® ]®3^ç^Hd±O[XTbpd8]on$Xhr ghsps§]oghd©±O^HY
_i^H[^gh]5n!w2n-^Hlm^H_5gh/s ]m\3^n-]bpXTdnÃ_i^H³mg_o±Obcd3³¯]5ghd±8^HY)_^H[^g]onfbpdBaaHghd ^gZn-bpspq?²^<ghdO|
n!`'^H_i^±Ay"¶d´]®3bvnzn^a!]ibpXTV
d `^Y$^Hd8]bcXZd´n-XZY$^§Xhr ]®3^n-^my
W"^H_i]oghbcd3spq w:gspsX8aja!\3__i^Hda!^nXhr ]oghd©±O^HY _i^H[^gh]5n$bpd aaHghd²^ãruXT\3d± btrfruXZ_
^gTa®4]ogd±O^HY _^H[^g]$spX8aHg]bcXZdVwz]®,^?n\,²3]_i^H^?²^HspGX `7]®3bvn scX8aHgh]ibpXTd bxn]i_ogHlm^H_on-^±
gd±¯]®3^Ùsxg² ^jsxnzXhrgspssp^gHlm^n'bcd¯]®,bxnn\3²3]i_^H^ gh_i^1_^j[ XT_]i^±A*y e'®3^.n[©gZa!^Ù_G^ ]m\3bp_i^±
ruXT_]®3bvnfghsp³TXZ_ibp]®,YàbxnXZd3sc4
q ÙÆ bVÈowghd±çnbcda!^Ù^gZao®çn\3²,]_^j^]_ogHlm^H_5ngs2bxn:[X nnbc²3sp^
bcd ]ibpY$^Ù[3_XT[ XT_]ibpXZd©ghs']iX¯]i®3^d8\3Y.²^H_Xhr/bp]5n sc^gHlm^n!wL]®3^.]XT]oghs_\3d,d3bpd3³´]ibpY$^Xr
]i®3bxn^HÅ8]^Hd©nbpXTd?bx(n ÙÆ bËOÈoEw `z®3^H_i
^ ´bxn]®3^.XZ\,][3\3] nsb rH^ y$½:XT]^.]®g]1^HÅ8bxn-]bcd3³
gsp³ZXT_bc]®3Y´nV]®©gh] qd±gsps8X8aHa!\3_i_^Hda^n+XhrL]5ghd±O^jY_^j[ ^gh]on"gd±1_\3dbc
d ÙÆ b:scXZ³ b¨
OÈL]bcY$
^ `'^j_^"[3_^jlObcXZ\n-spqf±O^a!sxg_^±Æbcdn-XZY$^"[3svgZa!^noÈA]iX:²^]bpY<^!|XT[3]bcY´ghsÇw!²^aHg\n^
L« K2u!
fTo+
!u
uh£
iÙ¦Z" ³H--
--u
#¥ T1o
8H--huu--'o
Ç-£¤-Zio
L£:V¦T!Hh9 u
NMPORQTSVUXW uT- VhZY!-¥z
Lh[Yzf-!H¥
u!uÇ-£Cu-ZiozuTo-Hu
-
¥-HÇ
-.
$fh
z¦
H, YÒ u
-o
L!uuo
-
---
Ùz
ToO
!u
uh£ 9 K
i!z-o
2uuzioh- HÇh-£!uX \
!
Too
!u
£ u To"-u uu
f
"a `HTocu| i.o
u¦Z
³Hu-h-u"Tf-"^ ] "
c^ £_ !uVH-6 -Z u-h-Lio1Ç-£ -To"
bNOcQWV£:"o
uT- edf !4 HN TÙ
mu"+oÇ-£¿u-Ziu2
f bgORQWV
£ uT-| hPh !Z
oTh
mj-u--"o3Çoh-£¿u-Zio2ibNORQSjUXWA£:olkORQWATo hZh !Z u
Iíþ3ÿ
J
ºÉ
bcd\`XZ_on-]|·aHgZn-^]®,^H_^aHgd$²^iÆ b!ÈX8aHa!\,__^jda!^ny~:^Hd©a!^zXZ\3_d3^#` ghsp³TXZ_ibp]®,Y `zbp]®
bc]oV
n ÙÆ bùOÈ.]bpY<^Q²XT\3d± bxm
n Y$XT_^°XZ[3]ibpY´gs ?]®gdá]i®3^?[3_^jlObcXZ\niXZ[3]ibpY´gs
gsp³ZXT_bc]®3Y´ny
`m^Hlm^j_oghKs ]m\3^n-]bpXTdn'ajghd´²^fghd!n `'^H_i^±bc
d ÙÆ b È"]ibpY$^z²8q.[3_XT[gh³ gh]bcd3³.bpdOruXT_Y´gH|
]ibpXZd gh²XZ\3].]®,^Q]5ghd±8^HYÖ_i^H[^gh]5n±OGX `zd¤]GX `zg_o±3n1]i®3^$sp^glm^nÃXhr]i®3^°nk\ <Åç]_^j^my
e'®3^n
^ ]¹\,^n]ibpXZd©n1bpda!sc\±O^ qd±Obcd3³?]®,^Qd8\3Y.²^H_fXhr§]oghd©±O^HYÔ_i^H[^gh]5nn]og_]ibpd3³çg]
^gTa®.[Xmn-bp]bcXZd$Xr a¤ÆÇghd±.®3^Hda!^]®,^:]iXZ]ogsdO\3Y.²^H_2XrV]ogd±O^HY _^j[ ^gh]on2bcV
d a"Èow8gd±
qd©±Obpd3³f]i®3^n-®3XZ_i]^n-]'XT_']®,^:scXZd3³T^n]"]ogd±O^HYô_i^H[^gh]/n]5gh_]ibpd3³Ùg]'^gTa®.[Xmnbc]bcXZd$Xr
a/
y e'®3^f±8^H]ogbpsxn"g_^fsp^!ru]"]iX1]®,^_^gT±O^H_j/y ¯XZ_^ a!XZY$[,sp^HÅÙ^HÅO]i^Hdn-bpXZd©n'gh_i^f±Obvna!\nin^±
bcdQ]i®3^fd3^HÅ8]n\3²©n^a!]ibpXTdVw3gd±Qbcdã` ^a!]bcXZd?¸my
ô,on '%§
( +*Ù+2,
¬ ^aHgspsru_iXZY ]®,^QbcdO]i_X8±O\©a!]bcXZd¿]i®gh]<gXKl:+o +m´]ogd±O^HYÔ_i^H[^gh].bxn.g?]oghd©±O^HY
_i^H[^gh]^^©`z®,^H_t
^ ^bxnÃ[,_bpY<bp]bclZ^mwLby ^ yp6w ^ ® < ruXZ_.n-XZY$^.d3XTdO|^jY$[3]-qçn]i_bpd,P
³ <
XTd3spq$br ® É y
\ <Å1]_i^H¨^ `zbc]®]i®3^z^Hd±O[XTbpd8]on+Xrghscs3]®,^'[3_ibpY$bc]bplm^ ]oghd©±O^HY
ä ^±O^a!XT_ogh]i^z]®3^n-k
_i^H[^gh]]-q8[^n0bc4
d a¤²8
q qsp]i^H_bcd3³XT\3]d3XTdO|Ç[3_bcY$bp]ibplm^_i^H[^gh]5n0ru_XTY ]i®3^n-k\ <ů]_i^H^
±O^a!XZ_5gh]^4
± `zbp]i®]®3^ a!XZY$[,sp^H]i^_^H[^g]1lmX8aHg²3\3sxg_qmy ä ^$\©n^´gd¿g\3Å8bpspbvgh_iqç±3gh]5g
n-]_\©a!]\3_i
^ ÎkmI5¢ñwj1l:l%j1¦ Xrnsb rH8^ bw `z®3^H_^Ùgspsa!^Hscsxngh_^fbcd3bp]ibxghscob rH^± ]i\
X rH^j_X3y
eV_^Hn
^ (fÆ a"Èbxn]_5glm^j_on^±Qbpdçg´±O^j[3]®OÀ| q_5n]XT_o±O^H_jy{"gZao®?]bcY$^Ùghdç^Hd±O[XZbcdO]fXr
g]ogd±O^HY7_^j[ ^gh]Xhr"sc^Hd3³Z]i
® øwnigq w3bxnz^Hda!XT\3dO]i^H_^±Akw `^±OX.]®3^ruXTspspGX `zbcd3³3yz¶r ]®3^
^Hd8]_iqXr"a^HspKs ø+bcd$]®3^Ù±O^j[3]®O|·gh_i_ogHq$bvnzÁOw `'^§bpdn-^H_]]®3^flTghsc\3.^ ø bcdO]iX.a!^HspsLº ø+Xhr ]®3^
±O^j[3]®O|·gh_i_ogHqmy"¶rL]®3^^Hd8]_iq1Xhr a^Hsp£s øAbxn ® ¬ ÁO1w `'^bpd©n^H_i]2]®3^lTghsc\3^ bpd8]XÙa!^jspIs ø
Xr']i®3^±8^H[3]®8|-g__ogHqmwæghd
± `^1Y´g3_ d´]®3^Ù]ogd±O^HY&_^H[^gÒ] `*^ \n]^Hda!XT\3d8]^H_i^±¯gTn
d3XTdO|Ç[3_bcY$bp]ibplm^my ä ®3^Hd´]i®3^Ù±O^H[3]i®Oò| q©_on]]_5gHlm^H_onighsV²gTpa d,n'\3[´]X.]®3^f^Hd©±O[XZbpd8]Xhr
g
]5ghd±O^jY _i^H[^gh]Xhr ±O^H[,]t
® ø2Æu[3_bcY$bp]ibplm^"XZ_zd3XT]!È5wObp]n-^H]on"]®3^f±8^H[3]®8|-g__ogHq.lTghsp\,^:ruXZ_
a!^jspEs øV]R
X rH^H_iX3y
Ä0ru]i^H_+]i®3^±O^H[,]®OÀ| q_on-]"]_ogHlm^H_5ngswZ^Hlm^j_qd3XTdO|Ç[3_bcY$bp]ibplm^"]ogd±O^HY _^H[^g]2]-qO[^zbpd
]i®3^lmX8aHg²3\3sxg_q.bxn"Y´gh%_ dm^± bc,
d (fÆ a"Èow8nX]i®3^[3_ibpY$bc]bclm^']ogd±O^HY _^j[ ^gh]z]-qO[^naHghd
²^a!XTspsp^a!]^±bc
d 1Æ b È]bcY$/^ `zbp]i®.ghd3XT]®3^H_ spbpd,^gh_-|]ibpY$^"]_i^H^']i_ogHlm^H_5nghsÇy2¾3\3_i]®3^H_jwZgsps
]i®3^'X8aHa\3__i^Hda!^nVXhrL[3_ibpY$bc]bclm^+]5ghd±O^jYC_i^H[^gh]5n2aHgd² ^'ruXT\3d±1bcd1XZ[,]bpY ghs ÙÆ b¨ROÈ
]ibpY$^mw `z®3^H_c^ 1bxnd,X `]®,^dO\,Y²^H_2Xr2X8aja!\3__i^Hda!^nXhr [3_ibpY$bc]bplT^']5ghd±O^jY _i^H[^gh]5n
bc
d a'.y e'®3bvnghsc³ZXZ_ibp]i®3Yàbvngh³ ghbpp
d Y<XZ_^XT[3]bcY´ghqs ]i®ghd?]i®3^[3_i^HlObcXZ\8n 1Æ b:spXT*³ b È
]ibpY$^§ghsc³ZXZ_ibp]i®3Y´n!y
Iíþwý
»
ºTº
ÙBßPXU
ÚåÛ
r
G
S/S@ßJÞ¾K
Ä
Qbxng°n]_ibpd3³Ïï ® ^ `zbc]® 7ºOyç¶rJ^ábxn1[,_bpY<bp]bclZ^mwÖï bxnÙg
hyÀ^Hd3^H_5ghspbsrHbpd,³$]®3^³TXmgs'Xhrqd±Obcd3³´]®3^.lmX8aHg²3\3sxg_q?Xr
gspsV]ogd±O^HYÞ_^H[^g]:]-q8[ ^n!kw `8^ `'XZ\,sx±Qscob dm^]
X qd±$]®,^n^j]zXhrgspsV±8bxn]ibpda]z]oghd©±O^HY
g__ogHq?]-q8[ ^n XT_$ÆuY$XZ_i^Xhru]^jdAÈ]®3^´±8bxn]ibpda][3_bcY$bp]ibplm^f]ogd±O^HY g__5gq?]-q8[^nbpd g
n-]_bcd3³3y ä ^/±OXZÖd É 6] dOd3GX `]i®3^zn-ob rH^"XrA]i®3Xmn-^zn-^H]onwZ²3\3] gZnin\3Y$bcd3³]®3^H_i^zg_^ §±Obxn-]bpd©a!]
[3_ibpY$bc]bclm^]5ghd±8^HYÑg__5gq.]-qO[^n"bpd.]®3^ n]_ibpd3³,kw `^aHg\
d qd±$XTd3^_^j[3_^n-^Hd8]ogh]ibplm^zXr
^gTa®?]-q8[^1bp
d ÙÆ bVOÈz]bcY$^mJy e'®3^Y$^H]i®3X8±?gh³ ghbpdç_^jspbp^n'®3^gHlObcspq´XZd?]i®3^\n-^Xr
n-k\ $Å<]_^j^n!y
e'®3^fgsp³TXZ_bc]®3_
Y `'XZ%_ d3n"bpd$!] `X[3®gZn-^n!/y eVX^HÅ8[3sxgbpd$]i®3Ò^ q_5n]z[3®©gZn^ kw `'^ ±O:^ qd3^
g´n^jL
] ü Xrz[3_ibpY$bc]bplm^§]oghd©±O^HY lpm ym%j]-qO[^n]X´²R
^ Iñòf[i?>Ë#òmpk1btr]i®3^^jd±O[XZbcdO]
bcA
d (Ã!Æ a"ÈXhr§^Hlm^H_iq?[3_bcY$bp]ibplm^Ù]oghd©±O^HY _^H[^g]]q8[^´aHgd}²^´_^gZao®3^±?²Oq g?a®©ghbpd
Xr§n\aHa^nnru\3snk\ <Ź|Çspbcd dX`zgos d,n:ru_XZY ]®,^^Hd©±O[XZbpd8]1Xr§nXTY$^[,_bpY<bp]bclm^f]oghd©±O^HY
_i^H[^gh]bpP
d üyÄ +£+j²Iñòf[i?>Ë#òmpkn-^H] üNbvn:g[O|·nk\ a!bc^HdO]n-^H]ng]bvn·ruq8bpd3³.]®3^
a!XTd±Obc]bpXTd¯]i®gh]]i®3^1_i^HY$XlTghsVXrzgdOq´]5ghd±O^jYà_^j[ ^gh]]q8[^Ãru_iXZi
Y üa!_i^gh]i^n:g<n^H]
]i®gh]bxn'd3XscXZd3³T^H_[O|-n-k\ a!bp^Hd8]Hy
½:XT]^?]®©gh]´bt.r ^6^ ® ïÒð¤bxnbcdg Y<bpd3bcY$gs'[O|·nk\ a!bc^HdO] n^H;
] ü wz]®3^Hd ^jbp]®,^H_
ï*ð¯bxn:d,XZ]f]®3^._bc³Z®8]|Ç_XT]ogh]ibpXTd Xr§ghd3XT]®3^H_f]5ghd±O^jY)_^H[^g]Ã]-q8[R
^ ðkïbc
d a'wVXT_1gsps
_iXZ]og]bcXZdnfXhJr ^6^ág_^.]oghd©±O^HY _^H[^g]onbpB
d aw+²3\3]fd3XTd3^$Xr]®3^n-^bvnbpA
d ü ^jÅ3a!^j[3]
ruXT8_ ^^¤bp]5n^HsriyÃÆÇe:\3^]iX$]®3^ n^aXZd±¯[Xmninbc²3bpscbp]-qmwLgY$bpd,bpY<ghsA[8|-n-k\ ´abp^Hd8]n^H]§Xh*r a
bvn'd3XZ]d3^a!^nng_bcspq.\3d3+b ]m\3^myÈ
j1Îkmj1l:l%j1¦
Kl+o+Gmj1£ÎkmÔj1l:l%j1¦
N#$8 » "3
}
¶d¯]i®3^(q_5n][3®©gZn^Xr]®3^ ghsp³TXZ_ibp]®,Y?wy`^1bv±O^Hd8]btruq gY$bpd,bpY´gs [8|-n-\k´abp^Hd8]n-^H]Xr
]5ghd±O^jY _i^H[^gh]5:n Ðk`^\n-^]®g]zn-^H]'bcd$]®3^ n^a!XTd±[3®©gZn^§]X(qd±.]®3^^jd±O[XZbcdO]5nbpd
]i®3^Ùnk\ <Å$]_i^H^XrghscsV]®3^Ù±Obvn]bcda!][3_bcY$bp]ibplm^z]ogd±O^HY gh__5gHq$]-qO[^ny
ÄôY$bpd3bcY´ghsV[8|-n-k\ ´abp^Hd8]fn^j]aHgd ^gTnbcspq?²^ruXZ\,d± bpdçspbcd3^g_Ã]ibpY$^ w \n-bpd3³°]®3^
n-^H]fXhr§ghscs"[3_bcY$bp]ibplm^f]ogd±O^HY)_i^H[^gh]5nòÆ `z®,Xmn^<^Hd±O[XZbcdO]5nÃbc_
d (fÆ a"ȧgh_i^ ruXT\3d±gTn
±O^na!_ibp²^±bpd`m^a!]ibpXZd ¼Oyº¹Èoy ^H
] t ±O^Hd,XZ]^?]i®3^°n^H]<Xhrf^Hd©±O[XZbpd8]onbpd (Ã!Æ a"È1Xr
gspsV]®,^1[3_ibpY$bc]bplm^z]5ghd±8^HY7_^H[^g]:]-q8[ ^n!yzÄ:sc³ZXT_bp]i®3YÑR
`zbpscsVY´gh%_ d$gsps]®3^f[XZbcdO]5n
bcu
d t w3\n-bpd3³.Y´g3_ d,n'XhNr vNxw w ghd©u
± ?fIw `z®3Xmn-^1Y$^ghd3bcd3³m¨n `zbcspsA²^Ù^HÅO[,sxghbcd3^±$sxg]^H_jy
¶d3bc]bxgspscqmwghscs3^Hd±O[XTbpd8]on+bcj
d t g_^zY´g3_ dm^
± vNy e'®3^'ruXTspscX `zbcd3Ò³ qsc]^H_ibpd3³§[3_X8a!^±O\3_^
]i®3^H
d qd±3ng1Y$bcd3bpY´gs3[O|·nk\ a!bc^HdO]/n^H]jy
ë ÀÁÂ,ï Ãtî Ä·Åzy
:
ö §ýZú÷mø>ú G=oýZöZ!þ
÷møú2ø#õ =>øöZ÷8ûmGý öhó§üp÷møöZýóøo=÷ ÿkF1Zó2öZýó öZ>ø =oøoþ-þõú $"$ õ:öZýT÷mø
ö {
ê ö1õ
ø>' Dõ =o!ó "$ÙýTö =oGø 3õöZ÷÷mýf3ó Z¨ø ,vGý "$"
#ý /ö s
þ3ÿ
ºT»
Vó ZøøöZ÷8û¹ýGöóDÿ8
þùÃõú!2Høo÷}|mó3Zøö1øöZ÷I
q1N
ZøoóFÿ ª ó-ýÿk
s1N~Aøòú ,výZú-ù õ%
þ &.'À"$ 1ö 2¯"#õ "«2,uúýTÏ
ù ÿ ª
u ê ,V%
ó Z*ø "#õ "«2å¨þ möZ%þ =>=oøoþ-þ ,À"L3ó ZøöøöZI÷ v1 ê ,V%
ó Z*ø "#õ "«2ÃøöZ÷mþõHóû¹Gý öDó ÿZ%ó Zøöùfõ!ú 2 ÿ8/
ó%.mõöZ÷øöZ÷I
w1N'%
ó Zøú /
þ-Gø 3þ-øoDó ÿ ª óýÙ%ó Zø:øöZ÷8ûmGý öhóúø#õ =>Zøo
÷ ö%ó ZÒø "#õ "«233ùfõú!2:ÿ ª /
ó%j|õöZ÷
ýó-ýfþ-ó-ø:
û sÓ
Äz]]®3^´^Hd±¤Xhrf]i®3^?gsp³TXZ_bc]®3YEw2]®3^°]oghd©±O^HYÔ_i^H[^gh]5n Y´g3_ dm^
± v XZ_w&gh_^
[3svgZa!^±¿bpdg¤n^H]°aHgspsc^
± vFw y ä ^ça!svghbcY ]i®gh]En^H
] vFw)ruXZ_Y ngY$bcd3bpY´gs'[O|
n-\k´abp^Hd8]n^H]j/y e'®3^Ù±Obxn-]bpd©a!]bcXZd$²^H!] `'^j^Hd$]ogd±O^HY _^j[ ^gh]on'Y gh3_ dm^
± v ghd©± ]i®3Xmn-^
Y´g3_ dm^
± w `zbcsps²^^HÅO[,sxghbcd3^±´bpd?]®,^d3^HÅ8]n-^a!]bcXZdV.y ¯bpd,bpY´gspbp]-qXir vFwôbvn:^gTnq
]iX1^n-]ogh²,spbxn-®Vy2¾3XT_'[3_ibpY$bc]bpl8b]-qmwHd3XZ]i^]®©gh]g1n-\aHa!^nin·ru\3Is `/ghos d1ru_iXZYô]5ghd±O^jY _i^H[^gh]
ðïá^Hd±,n:g]:]i®3^1^Hd©±O[XZbpd8]Xhrg]ogd±O^HY7_^j[ ^gh*
] ï*ð wLghd±´]®g] ðï bxnzg[3_bcY$bp]ibplm^
]5ghd±O^jY _i^H[^gh]btrghd±´XZd3scqQbr ï*ðbxnghsvnX?Æu]®3bvn0bvn0[3_iXlm^±$bpB
d
`3ˤ~Z
uÈoy ä ^fsp^gHlm^
]i®3^ru\3spsL[3_XmXr']i®ghi] v/wNbxnzg[O|-n-k\ a!bp^Hd8]zn-^H]z]X.]®,^Ã_i^gZ±8^H_Hy
n ÙÆ b Èo/y e'®©gh]zajghd.² ^
ä ^gsxnXÙa!svghbcY]®©gh]"]®3^_\,d3d3bpd,³Ã]ibpY$^Xhr Ä:sc³ZXT_bp]i®3Yfbv
[3_iXlm^Hd´²Oq´gd?^HÅ8]^Hdn-bpXTdQXr ^HY$Y (g OwLghd©
± `'^fsp^gHlm^]i®3^±8^H]ogbpsxnz]X.]®,^Ã_i^gZ±8^H_Hy
Ä:svnX,wObpd.]®,^fngY$^:]ibpY$^z²XT\3d±Aw3]i®3^fghsc³ZXT_bp]i®3YÞaHghd$Y gh3_ d]i®3^^Hd©±O[XZbpd8]'bc,
d (fÆ a"È
`z®3^j_^f^gZao®´Y´gh%_ dm^±]5ghd±O^jYÑ_^H[^g]:bvnruXZ\3d©±Ay ä ^1gTnn-\3Y$^f]®g]:]i®3bxn'bvnz±OXZd,^1bpd
{ ®gTn^¶oy
oG ê
, %
ô6zcV00% » "3
}
eVX?²^H³Zbcd]Xç±O^na!_ibp²^ { ® gTn^°¶¶owE`'^Rq_on-]n]5gh]i^Q]i®3^ruXTspspXG`zbcd3³dm^Hq¯rÇgTa!]Hw6`z®3Xmn-^
[3_iXmXhr"bvn'bpY$Y<^±Obcgh]i^my
s
þwý
[
^H]7<4²^.g _ibp³T®O]_iXZ]5gh]bcXZdç
h
X
/
r
n
i
]
_
c
b
3
d
^yÙ¶r^ bxng$]5ghd±O^jY)gh_i_ogHq
³
n-XZY$^#`z®,^H_^bcd wOruXZ_J ^ ºOw]®3^jd¯]®,^ < [c Y.\n[ ]gsxnX.²^g]ogd±O^HY7g__5gq´bcdÊay
¬ ^Hlm^H_5nbpd,³Ã_iXZsc^n!w8[ btr ]®,^H_^bvn'd3XX8aHa!\,__^jda!^XrÙ< bcdawO]®,^Hd$]®,^H_^fajghd3d3XT]:²^fgd
X8aHa\3__i^Hda!^Xr^ õ bcÊ
d ay
^HY$Y g1¼]ibp³Z®8]scq°a!XZd3d,^a!]onz]®,^1sp^jd3³Z]i®¯Xhr]i®3^1scXZd3³T^n]]5ghd±8^HY&gh__5gHq¯Xhr^/É
n
`zbc]® ]®,^?sp^Hd3³T]® Xr]®,^?spXZd,³Z^n-]$]ogd±O^HY gh__5gHq Xhr ghd8q¿_iXZ]og]bcXZdXhR
r ^/v ]i®3Xmn-^
sc^Hd3³Z]i®n1ajghd4±O¥b ¤L^H_Ù²Oqçg]Y$Xmn-]fXZd3^myç¶d { ®gTn^°¶¶owV]®3^ ghsp³TXZ_ibp]®,YÔn-\aHa!^ninbclm^Hspq
ruX8a!\©n^nXTd¿^gTa®4Y$bpd,bpY<ghs"[O|·nk\ a!bp^jdO].]ogd±O^HY _^j[ ^gh
] ^^Nbp7
d v/ww']i_q8bpd3³?]iX
ÂAB¼=B
4a
º
d©±}]®,^Qsc^Hd3³T]®¿Xrf]®,^QscXZd3³T^n].]ogd±O^HY g__ogHq¤Xhrå^@Én!wzgspXZd,³4`zbc]®¿]i®3^´sp^Hd,³Z]®
Xrz]®,^spXZd,³Z^[ n-]Ã]5ghd±8^HY)g__ogHq°[ Xhrz^gZao®?_XZ]5gh]ibpXZdçXhrí^y ¶·d?[©gh_]ibxa!\,sxgh_jwAruXZ_^gTa®Ï n-\a®?]i®gh].^ bxn:bcdawVgd±< bvnÃg[ sxn- XQbcda}ruXT_f^gZao®?_bc³Z®8]_XT]ogh]ibpXTda<4Xhr*^"wV]®3^
gsp³ZXT_bc]®3YÞ±O^H]i^H_Y$bcd3^n `z®,^H]®3^j_ ^ õ bxnbc
d aw3gd±$]®3^Hd<\n^nzgfY$X8±O«b q^±lm^H_5nbcXZd
Xrgfnk\ <Åm|scbpd d8`zgos dÙ]XÙ±O^H]i^H_Y$bcd3/^ `z®3^H]i®3^HÙ_ < [ õ bxnbp
d awZruXZ_"^Hlm^H_iqÃ[ _iXZ ]5gh]bcXZn
d <¯Xr
^"y"µ'
q ^HY$[ Y´ g¼Owm]i®3bxn"[3_X8a!^nn^jd±3n"gh]/gÃlTghsc\3^:XÕr -`z®,^H_^§nXTY$D^ < õ Æubpda!sc\±Obcd3³
[Xmninbc²3spt
q ^ õ È"bxnruXT\3d±´]X.² ^fY$bvnn-bpd3³fru_XZ×
Y a'y
^ ^ ® ðCwVgd[
± `'
^ d8d3GX `N]®3^
ä ^d3GX `±8^Hlm^HspXT[¯]i®3bxn:bcd?Y$XZ_i^±O^j]oghbcsyfÄnin\3Y<(
[q
^Hd©±O[XZbpd8]bcP
d (fÆ a"È'Xr/n]_ibpd3¡
³ ^ Iw `z®3^H_R
^ DNº8Ew ^óæ õ ghdX
± ^ bxnz]®3^scXZd3³T^n]
[3_i:^ qÅ?X*r ^ [ õ ]®©gh]1X8aja!\3_onfgdOq `z®3^H_i^bc
d a
y ~^Hda!^ ® ^ brghd©± XZd3scq?btr ^ [ õ
X8aHa\3_on+bc\
d ay2¾3XT_2^gZao®1_ibp³T®O]2_iXZ]5gh]bcXZ[ :
d <´XhÖr ^"w `'^ `XZ\3sv±Ãscob dm^"]ÒX q©d±1]®3^z^jd±O[XZbcdO]
bc;
d (fÆ a"È Xhr"]i®3^fspXZd,³Z^n-]:[3_i:^ qÅ$Xr < õ ]®©gh]X8aHa!\3_5n0bcÊ
d ay ä ^±O^na!_ibp²^®3GX ` ]i®3bxn
bvnz±OXZd3^ruXT_:]i®3^ q_on-]:_iXZ]og]bcXZd´Xhr ^"w3by¢^mypwZruXT#_ < ® Kð y
\ $Åm|Çspbp£d d`zgos d¤[^H_ruXT_Y$^± ru_iXZY ]®3^
ä ^?n]5gh_i]$²Oq¤^HÅ8^a!\,]bpd,³çg n-]oghd©±3gh_5±án-k
^Hd©±O[XZbpd8]Xhr ^ [ wgh__ibpl8bpd3³.g]:]i®3^1^jd±O[XZbcdO]Xhrn-]_ibpd3³°YÆ Kð3È [c w `z®3bva®´bxnz³Z\©gh_|
gdO]i^H^±}]iX ²^°bp
d (fÆ a"È5y ½:XZ]i^¯]i®gh]<±O\3_ibpd3³]i®3bxn.n\ $Åm|scbpd d?`zghss dA/w `'^°\n^°]®3^
n-]oghd©±3gh_5± !n dObc[ Ña!XT\3d8]:]i_bx>a d`z®3^jd?gh[,[3_XT[3_bvgh]^´ÆÇn^H^ gY$XT_^Ù±O^H]5ghbpsc^±¯±8bxna\nn-bpXZd
bcdã` ^a!]bcXZ
d ¹È5yz½:^HÅ8]Hw8]®3.^ `zgos d´a!XTdO]ibpd8\3^nz±OGX `zd°]®3^f]_i^H^.Æ^HÅ8[3scbxa!bc]spq.aXZY$[g_bcd3³
ao®gh_5gZa!]i^H_onghscXZd3³]i®3^f[gh]i®AÈ"](X qd©± ]i®3^^Hd©±O[XZbpd8]'bcû
d (Ã!Æ aÈXr2]i®3^spXTd3³Z^n]z[3_i:^ qÅ
XrYÆ Kð3È [ õ ]®g]X8aHa!\3_5n:bpÏ
d ay ä ^ajghspsV]i®gh]§[ XTbpd87] *wLghsp]i®3XZ\,³Z®?bp]Y´gHq.d3XZ]²^ g
d3X8±8^bp,
d (fÆ a"È5y ä ^aHgsps]®,bxn `zgos d<(g ÈkmIml3j²«Gm%Îf[i?>A@Gñ² +CB$j²§By½:XT]^]®g]'btræbp]
bvnn-]og_]^±$gh]]®3^^Hd±O[XTbpd8]Xr gÃ]5ghd±O^jY gh__5gHqmw3gd±btrL]i®3^_bc³Z®8]|Ç_XT]ogh]ibpXTd$Xhræ]®g]
]5ghd±O^jY gh__5gHqçghsxn-X´X8aHa!\3_5nÃbpd?]i®3^<nk\ <ů]i_^H^mwV]i®3^Hdç]®3^³T^Hd3^H_5ghspsb rH^±?n-k\ $Åm|Çspbp£d d
`/ghos d<bxn'bx±8^HdO]ibxaHgs]X.]®3^Ùn]5ghd±,gh_o±°nk
\ <Åm|scbpd dR`zgos dLy
[
eV\
X qd±¯]i®3^1scXZd3³T^n][,_:^ qÅ´XNr < õ ]®g]X8aHa!\3_5n:bp
d aw3ruXZ7_ <4±O^ qd3^±´²Oq´!] `'X
_ibp³Z®8]_XZ]5gh]ibpXZd<n]i^H[n+X6r ^"wmnbcY$[3scqfn]5gh_]ru_XZY *1gd±1^HÅ8^a!\3]i^zghd,XZ]®,^H_2³Z^jd3^H_ogspsb rH^±
n-k\ $Åm|Çspbp£d d`/ghss dAyôW"XZd8]bcdO\3bcd3³bcd ]®3bvn<ruXT_$^HÅ,gZa!]ispq ç ^ ç ³Z^Hd,^H_ogspob rj^±¿n-k\ $Åm|Çspbp£d d
`/ghos d,n!w3]i®3^gsp³TXZ_bc]®3Y qd©±3n/ruXT_:^gZao®¯_XT]og]bpXT;
d <Xr ^w3]i®3^1^Hd©±O[XZbpd8]bpû
d (Ã!Æ a"È'Xr
[
]i®3^scXZd3³T^n]Ù[3_^ qÅ?Xhr < õ ]®g]1X8aHa!\,_onÃbc
d at
y ¯XT_^HXlm^H_jw ]i®3Xmn-[ ^ ç ^ ç `/ghss d3n^Hd±
^HÅ,gZa]sp
q `z®3^H_^f]i®3^Hq´²^H³mgdVwAby¢^mw3g]]®,^Ã^jd±O[XZbcdO]bp¾
d (Ã!Æ aÈ"Xr ^ y ä ^aHgspsn-\a®
g.n^H_ibp^n"Xhr"³T^Hd3^H_5ghscob rH^±<nk\ <Ź|Çspbcd dR`zghss d3nzg.n\ $Åm|scbpd dg#¦:²omoy
q
ÂAB¼·
ÙÆ ç ^ ç È']ibpY$^ y
Ä:d8qn\$Åm|scbpddaq3a!sc^mwn]5gh_]i^± g]¯]®,^ ^Hd©±O[XZbpd8]¯Xr^ [ w ]5gdm^n
¾+bc_on-]Hw]®3^a!q,a!sp^]_5gHlm^H_on-^nA^HÅ,gZa!]ispq ç ^ ç n\k<Åfspbpd£d3nwghd±f]®3X n^"]_5glm^j_ongsxn
]5gdm^ÙÆ ç ^ ç È]bcY$^my`
X `'^XTd3spq?®©glm^.]X°n-®3XG`ô]®g]Ã]i®3^.dO\3Y.²^H_Xrzd3X8±O^ nd8bp[n
|
º
Æu\nbcd3³$]®,^n]5ghd±,gh_o±çn d8bpK[ Ña!XT\3dO]§]_bvpa dÈowgd±¯]®,^1d8\3Y²^H_zXr^HÅO[,spbxabp]zao®g_ogZa]^H_
a!XTY$[g_bxn-XZdn'bcd°ghspsL]®3^Ù±OXG`zdO|Ç]_5gHlm^H_onighsxnzbxn'²XT\3d±O^±´²Oq
1Æ ç ^ ç È5y
eVX¤a!XZ\,dO]]i®3^¯d8\3Y.² ^j_1Xhr d3X8±O^çn d8bp[©n!¨
w `^¯aXZdn-bx±O^H_.®3GX `Ñ]i®3^¯d3X8±8^!|-±8^H[3]®©n
ao®ghd,³Z^ÙgZn'[XZbcdO]5nzgh_i^]_5glm^j_on^±$±O\3_ibpd3³.ga!q,a!sc^my ¬ ^ajghspsL]®g]z]®3^§d3X8±O^!|·±O^H[3]i®¯Xr
g:[XTbpd8Ù] *bp=d (Ã!Æ a"Èbxn+]i®3^'d8\3Y.² ^j_AXhrLd3X8±8^n+XZd]i®3^'[©gh]®1ru_iXZYN]®,^'_XmXT]"]X *y{gTa®
n-k\ $Åm|Çspbp£d d]_ogHlm^H_5ngsA±8^a!_^gZn^n]®,^:d3X8±8^!|-±8^H[3]®´²8q$g]'Y$X n]"XZd,^mw3gd±$^gZao®d,X8±O^
n!dObc[?bpda!_i^gZn-^n:]i®3^d,X8±O^!|·±O^H[3]i® ²8q?^HÅ,gZa!]ispq´XZd3^ y ` bpda!^]i®3^d3X8±O^<±O^H[,]® gh]f]®3^
^Hd©± Xr2]i®3^fa!q,a!sc^bxn"^HÅ3gTa!]scq]i®3^fnighY$^fgTn0bc]'bvnzgh]z]®,^fn]5gh_]jw3]®3^fd8\3Y.² ^j_Xr2d,X8±O^
!n dObc[n"aHghd3d,XZ]'^jÅ3a!^j^±1]®3^d8\3Y²^H_Xhr n-k
\ <Ź|Çspbcd d1]i_ogHlm^H_onighsvn!1w `z®3bxao®bxn2^HÅ,gZa]spq ç ^ ç y
½:GX ``'^ a!XZdn-bx±O^j_]i®3^d8\3Y.² ^j_Xr^HÅ8[3spbva!bp]"ao®g_ogZa]^H_a!XTY$[gh_ibxn-XZdn±OXZd3^ ±O\3_|
bcd3³.ga!q,a!sp^my{"gZao®$³T^Hd3^H_5ghspsb rH^±$n-k\ <Ź|Çspbcd d`zgos d$^Hd©±3n]i®3^ q_on-]z]bpY<^g1Y$bxn-Y´gh]5a®
X8aHa\3_onw¹®,^Hda!^z]i®3^H_^§gh_i^g]"Y$Xmn-] ç ^ ç Y$bxn-Y´gh]5a®3^nV±O\3_bcd3³Ùg1a!q,a!sc^mEy eVX1²XZ\3d©±]®3^
d8\3Y.² ^j_+Xr[ Y´ gh]5a®3^n!w_^aHgsps `^gh_iÒ^ qd±Obcd3³ruXZ_"^gTa®._XT]ogh]ibpXT¯
d <¯X6r ^"wO]®,^:scXZd3³T^n]
[3_i:^ qÅXcr < õ ]®©gh]'X8aja!\3_on"bp
d ay ä ^²XT\3d±]i®3^d8\3Y²^H_ XhrY´g]oao®3^n+]i®gh]X8aHa!\3_
±O\,_bpd,³.ga!q3asp^²Oq<a!XZd©nbx±8^H_bcd3l³ ø`z®,bxao®$bxn±O:^ qd3^±QgTn']®3^fsc^Hd3³Z]i®$Xhr ]®©gh]z[3_i:^ qÅ
Y$bcdO\©n ç ^ ç (y e'®3^ dm^jqQXT²n^j_lTgh]ibpXZdçbxn]®g]ÃbZr ø ® gHru]^H_ nXZY<^1³Z^jd3^H_ogspsb rH^±
n-k\ $Åm|Çspbp£d dV`/ghss dAw]®3^j
d øD ú É gru]i^H_]i®3^d3^HÅ8]:³T^Hd3^H_5ghscob rH^±°nk\ <Åm|scbpd dt[ `zgos dLy
¾3XZ_z^jÅ3gY$[3sp^ wZ[ btr Æ ðCVÈ [ ð´bxn']i®3^spXTd3³Z^n]z[3_i:^ qÅ$XrzÆ ðCVÈ [ õ bpX
d awO]i®3^HdçYÆ Kð3È ¯bxng
[3_i:^ qÅÙXhr"ÔÆ Kð©È õ gd±bp]2bvngsxn-XÃbc
d a/y e'®gh]"Y$^gdn+]i®gh]"btrL]i®3^H_^g_^ 5 ao®g_ogZa]^H_
a!XTY$[g_bxn-XZdnz]®©gh]Ùgh_i^1Y´g]oao®3^nz±O\3_ibpd3³ g ³T^Hd3^H_5ghscob rH^±´n-k\ $Åm|Çspbp£d dV`/ghss dAw]®3^j
d ø
gHru]^H_]®g] `zgos d´bxnz^HÅ,gZa!]ispq 5 ú É svgh_³T^H_]®gd?² ^ruXZ_^]i®3(^ `/ghss dAy`mbcda!i^ £ø2Y\n-]
²^²XZ\,d±O^±´²Oq ç ^ ç w8]®3^]iXZ]5ghsVd8\3Y²^H_"XrY´gh]5a®3^n
]i®gh]zX8aja!\3_±O\3_ibpd3³ ga!q,a!sp^bxn
²XZ\,d±O^±´²Oq´º ç ^ ç y
µ
ä ^d,X`ô[,_^n-^HdO]f]i®3^$gsp³TXZ_bc]®3Y ]®©gh]±8^a!XZ_5gh]i^nÃ]i®3^$n-\k<Å?]_^j^\`zbc]®ç]®3^$^jd±¹|
[Xmn-bp]ibpXZd©nXhrÙgspsz[3_ibpY$bc]bclm^]oghd©±O^HY gh_i_ogHq3nw'³Zbclm^Hd¤]®3^´^Hd©±O[Xmnbc]bcXZdnXrÙghscsz]®3^
]5ghd±O^jYÑ_^H[^g]on'ru_XTY7g1Y$bpd,bpY´gs3[O|·n\k a!bp^jdO]/n^H]ivFw y
e'®3^^Hd©±O[XZbpd8]onzbp¾
d (Ã!Æ a"È'Xrzgsps]®3^Ù[3_bcY$bp]ibplm^]ogd±O^HY7_^j[ ^gh]on®gHlm^ghsc_^gT±Oq
²^H^Hd´scX8aHgh]i^±¯gd±QY´g3_ dm^±.bpd { ®gTn^ ¶y ¯XZ_i^HXlm^H_Hw8btr ^^bvn:g]ogd±O^HYÑ_i^H[^gh]bpd
vFw ghd©±1bxnVY´gh%_ dm^#
± vNwZ]®,^Hd1]i®3^H_^bxnnXTY$^'_ibp³Z®8]_XZ]5gh]ibpXZ:
d <6ªXhÖr ^¯n-\ao®1]®©ghÙ] <6ª§<6ª
bvn0d3XT]bpÏ
d ay ~:^Hd©a!^f²OX
q ^HY$Y g1¼]i®3^H_^fbvn:d3X._bp³T®O]_XT]og]bpXTa
d < Xhr ^áÆubpda!sc\±Obcd3³
^2Èzn-\ao®Q]i®gh
] <*:bvn0bcÊ
d ay:` XbÙr < [ ruXZJ_ ^ºbxnzg]ogd±O^HY&gh_i_ogHq´bpX
d a4ghd©± <bvnzg
_iXZ]og]bcXZd.Xh6r ^"1w `z®3^H_i*^ ^^¯bvn+bpj
d vFw wm]®3^HR
d ^6^¯Y.\n]²^:svgh²^Hsp^V
± wy e'®,^'ruXZspscGX `zbpd3³
gsp³ZXT_bc]®3YÑ_i^n]i_bva!]ongh]]i^Hd8]bpXTd$]X.]®,#^ w svgh²^Hsp^± ]5ghd±8^HY [ _i^H[^gh]5n!wgd¡
± qd©±3n']®3^
^Hd©±O[XZbpd8]on'bcû
d (Ã!Æ aÈ"Xr2^jlm^H_q.[3_bcY$bp]ibplm^z]5ghd±O^jY7gh_i_ogH¯
q < ruXZ*_ ^ ºOy
s
þ
¹
ºT¼
ë ÀÁÂ,ïÃtîÄ·Å
:
×8ýTú øõ#=>føöZ÷8û¹ýGöó"ýD,æõzóiõhöZ÷møùú·øûmøõHó/tö#ùfõhú!2Høo÷l(Tþøoó m ó-ýoGmõöZ÷Ù÷mýó%Zø
,vý "C"
#ý /ö 3
ý øûmøõó
ZøoF
ó mVó-ý m ë oG
°#õ "«28¯
ö )§+ü 6-,uúýTù 3ó ZøzøöZ÷.#ý ,6 [ ó-ýf3ó ZøzøöZ÷.#ý ,V%ó Zø "
ýTö øoþ-ó'ûmúø30'ý#,Ö [ õ ó%mõHó
ý =>=mú/
þ ¯
ö )§+ü 6p á#õ "$"%ó mõHó"ûmý öhDó ÿ
~Aøòú ,výZú-ù õ%þ &.'À"$ 1
ö 2¯=>=>"
ø:[ þ- óiõúó ö 1õHó ÿfó-åý "ý =õHó-ø ¯
ö )§+ü 6+%ó ZøzøöZ÷8û¹Gý öóþzý#,
>ø Hhøú ÙóõöZ÷møùNõú-úõ õ 3ó mõHó"ý =>=mú/
þ[
þ @Zøúø Vþzõfú $hóúýhóiõHó!
ýTöÃý#,66
ø þziõ ü ûmýþ-þ F"$K23þ =º1%ó mõTó õ þzöZý/ó \
ö /
öh!ó $"%ó Zøú·
·¨ö Ô
;¿6¼Å®6Ã[¾òÃ:f;Å·G¾5ÆÊ
1
'®3^´^Hd©±O[XZbpd8]Xhr ^Hlm^H_qç]ogd±O^HY gh__5gHq_< [ ruXT_ n^7ºãbvn1spX8aHg]^±¤g]sc^gZn-]XZda!^
²8qçÄ:sp³TXZ_ibp]®,YÔQ²^ajgh\n-^vFw bxn[O|·n\k a!bc^HdO]jwghd± bc]fbxnspX8aHg]^± gh]fY$Xmn-]fXZda!^
²^aHg\n^vFwôbvn:Y$bcd3bpY´gsy¶d?Y$XZ_i^.±O^H]5ghbpsÇw br^^ gd±4^Eª«^Eª2g_^]!`'X=wôY gh_3dm^±
]5ghd±O^jYÖ_i^H[^gh]5nÃbp
d vFww]®3^Hó
d < bxn1g´_XT]ogh]ibpXTd}Xr§gh]ÙY$Xmn-]ÃXTd3^$Xr]i®3^$n-]_ibpd3³ n
^NXZ
_ ^-ªxy¶rf]®g
] `'^j_^¯d,XZ].]_\,^mwz]®3^Hp
d vFw×`'XZ\,sx±¿d3XT]²^?Y$bcd3bpY<ghsÇ
y ~:^jda!^
]i®3^^Hd±O[XTbpd8]ÃXr^Hlm^H_q´]5ghd±O^jY gh__5gH;
q < [ ruXZ._ #^ º$bxn:scX8aHgh]i^±?^HÅ3gTa!]scq´XZda!^²8q
Ä:sc³ZXT_bp]i®3Ì
Y Oy µ'^aHgh\©n^'XrL]®3bvn d3XTdO|Ç_^±O\,d±3ghd©a!qmwm]®3^]bcY$^ghdgspq,nbxnXhræÄ:sp³TXZ_ibp]®,Y
aHghd a!XZd©a!^Hd8]_og]^n^j[gh_5gh]^jspqXTd1]®,^']bcY$^\n^±ruXZ_^gZao®f^HÅ8^a!\3]ibpXZdfXrLÄ:sp³TXZ_ibp]®,Y
8w3by ^ ypwZruXZ_^gZao
® w|svgh²^Hsp^± ]5ghd±8^HYÑ_^j[ ^gh]zbp=
d vFw y
e
.¾YBÂj2Ò8ÅÀÂ6¾5Æ6
^ ®gHlm^´ghsc_^gT±Oq ^n]og²3spbvn®3^± ]i®gh] { ®gTn^E¶ ]5gdm^n\ÙÆ b ÈÙ]bpY<^mwnXÏ`'^´gdghscqkrH^
´
]i®3^´]bpY<^$\n^± ruXT_$Äsp³ZXT_bc]®3Y 8y¿¾3XT_$gqÅ8^±w:|Çsxgh²^Hsc^±]ogd±O^HYÔ_i^H[^gh]^6^w
^gTa®°bp]i^H_og]bpXTd´Xhr]®3^ n]i^H[nzbpdn-bx±O^Ù]®3^ ¬ ^H[^g]n-]og]^HY$^jdO]zbcdOlmXTsplm^ngh]Y$Xmn-] ç ^ ç
bcd±Obpl8bx±8\ghsao®gh_5gZa!]i^H_.a!XZY<[gh_ibxnXTdn!w+ruXTspscX`^± ²8q ]i®3^´]_5glm^j_ongs'Xrfg?n-\k$Åm|Çspbpd£d
a!q,a!sc^my2`mX3w\nbcd3
³ ^HY$Y g ¸ w ]i®3^f]bcY$^0ruXT_ghd°bp]^j_ogh]ibpXTdQbvÒn ÙÆ ç ^ ç È5y
µ'qça!XTdn]i_\a!]ibpXTdVw2g]Ã]i®3^´n-]ogh_i]1Xrz^gTa®ç bp]i^H_og]bpXTd Xr]®3^ ¬ ^H[^gh] n]og]^HY<^HdO]
ÀÆ `z®3^H_
^ bxnVn^j]2nigqf]iX È5whbc]VbxEn dOd,X `zdÙ]®g] < bxnAbc\
d aruXT_+^gZao®ÃXrL]®3^ ç ^ ç _XZ]5gh]ibpXZd©n
<X
r ^"y ~:^Hda^mkw `z®3^jX
d 2bxnn^H]z]iX w ]i®3^f]bpY<^]X.^HÅ8^a!\3]i^]®3^Ùn-]ogh]i^HY$^Hd8]on'bcdnbv±O^
]i®3^ ¬ ^H[^g]zn]5gh]i^HY$^Hd8]"aHgd$²^ao®gh_i³Z^±.]X1]i®3^ ç ^ ç ]ogd±O^HY g__5gq,n < y"¶·]2ruXTspspGX `n
]i®gh]]i®3^1]ibpY$^ruXZ_fÄ:sc³ZXT_bp]i®3û
Y bvn0[,_XZ[XT_]bcXZdgs"]t
X 3w]®3^ÙdO\,Y²^H_zXr"[3_bcY$bp]ibplm^
]5ghd±O^jY7gh_i_ogHq3nzbpX
d aw3gd±Q]i®3^f]XT]oghs]bcY$^zruXZ_z²XZ]i®¯[3®gTn^nzbxÒn ÙÆ b¡·OÈoy
ä
ºm¸
# "$&z323-z
$
½:XT]^]i®gh]z]i®3^Ùgh²Xlm^fghsc³ZXT_bp]i®3Y7n-]ogh_i]on¨`zbc]®$]i®3^Ùn\k<Å]i_^H^ ±O^a!XT_ogh]i^±`zbp]i®$]®3^
^Hd©±O[XZbpd8]onXhr/ghscs+]i®3(^ Kl+o+Gm1]ogd±O^HY&_^H[^g]on:X8aja!\3__ibpd3³<bpd4awVgd±Vqd±,n:]®3^
^Hd©±O[XZbpd8]on"Xhr gsps]®3^[3_ibpY$bc]bplm^]ogd±O^HY g__ogHq,nX8aHa\3__ibpd3³Ùbpt
d a'y'` bpY$bcsxgh_ispqmwbtræXZd3^
n-]ogh_i]onz]®3^Ùgsp³ZXT_bc]®3Y `zbc]?
® j²o²]®3^f]5ghd±O^jYÑ_^H[^g]z^Hd±O[XTbpd8]on'Y´g3_ dm^±AwmXTd3^1³T^H]on
gsxnXç]®,^Q^jd±O[XZbcdO]5n1XhrÙgsps']i®3^´]ogd±O^HY gh_i_ogHq,n1Y´gh%_ dm^±Aw+^jlm^Hd]®,XZ\3³T® bpd¤Y$Xmn-]
aHgTn^¨n `^fXZd3sc
q `zbxn-®¯]XscX8aHgh]i^f]®3^f[3_ibpY$bc]bplm^z]5ghd±8^HY7gh_i_ogHq,n!y
s aþ
TâT\PXYÒÜGWPKZ[T\P
bcd3^gh_-|]ibpY$^±8^a!XZ_5gh]ibpXZd<Xhr ]®3^§n\k<Å.]_^j^:Xr¨aX`zbc]®$]i®3^^Hd©±O[XZbpd8]on"Xhr]i®3^(ÙÆbVÈ
]5ghd±O^jYÔ_^H[^g]]-qO[^n1[3_iXlObv±O^ng?a!XTY$[gZa]1_^j[3_^n-^Hd8]ogh]ibpXTd}Xrfgspsz]i®3^´]oghd©±O^HY
_i^H[^gh].X8aHa!\3_i_^Hd©a!^n.ghd±¿]5ghd±O^jY _i^H[^gh].]-qO[^nbpd gn]i_bcd3³3
y ?ghd8q¤[3_XT²3sp^jY´n
a!XTda!^H_id3bpd,³?]oghd©±O^HYÔ_i^H[^gh]5naHgd¿]i®3^Hd¤²^¯^gTnbpscq¤nXTsplm^±\n-bpd3³ç]®,bxn±O^aXZ_og]^±
n-k\ $Ű]_i^H^mw_^n-\3sp]ibpd3³$bcdçghsc³ZXZ_ibp]i®3Y´n `z®3bxao®çgh_i^.gZn0rÇgTn]HwgTnÃn-[gZa^:^ ´abp^Hd8]fÆgd±
n-bpY$[3sc^H_!ÈæXZ_'rÇgZn-]^H_jwOXT_'Y$XT_^§n[gTa!^f:^ ´abp^Hd8]HwZXT_'²XZ]i®Æu²3\3]'[^H_i®gh[©n'd3XZ]n-bpY$[3sc^H_!È
]i®ghd°[3_^Hl8bpXT\nscq[,_XZ[X n^±?gsp³ZXT_bc]®3Y´ny
¶Y$[3sc^HY^jdO]5gh]bcXZdn1Xr]i®3^gsp³TXZ_bc]®3Y n±Obvna!\©nn^± bcdá]i®3bxn[©gh[^H_çÆgd±áXZ]i®3^H_
gsp³ZXT_bc]®3Y´na!XZd©a!^H_d,bpd3³_i^H[^gh]5nÈ/aHghd´²^ÃruXT\3d±´gh][v
½
³ ®°¯ «*¨²±³¬¤3´¶µ3¬«>· ¯ ±3¸¤:«¹ 3º¼»
3 3 ¡£¢¥¤3¤§¦¦3¦©¨¥ª:«*¨[¬0ª >
Ú7R1ÚJS@Ú8PXYÚ
³ N¨a3 ³»¸
K
¿¾ {TÀ³Á
¾#©¾ÃÄÅÇÆ²Ä§ÈcÉÊXÄ˶ÌÍpΠ{  {PÏÑÐ ÃË Ï Ë¶Æ¥ËÂÓÒÃ:ƲÉcÔ
˶ÈNĤÕ,ÈcÉRÌ Ð Í Ð Æ Ð Ê^ƲÉRijÌÄ>Ö
Ü ã à À§Á Â
ÏÑРà РƲÉRƲÉcħÌÅÉcÌËÅÇÆ Ï ÉRÌ0×0Â}Ø¢Im%1l¹ÙPÚ/1ÒKi1LÙxÛK[aÙÝÜÞ³ÞkvßÞ³àá^â Á3ã 3
ä©åà>æ³çèmÂéä Ï Ä3Êëê Ð ÔjÄ ÏÑÐ Ë>ÌÍ ä
üPϲРŲÅ^Üý йþ7ÿ Ä Ï Ü0ý ÿ
ä Ï Ä À3ã ç
ÉRÌË
ä Ï Ä À§Á ç
Â0åNìÆÑÆ Ð¹Ï ÂØíZ@>îTïðeñòóXôcîõ:ö÷XÂTÒø¼ÖùÄ Ï ÍjúÌ:Écû Ð¹Ï ÅLÉcÆÇì
Ü ã à§à¶æ0Â
èm¼ä Ï Ä3Êëê Ð ÔjÄ ÏÑÐ Â3¾Ì#ħÃ0ƲÉRÔ˶È3Ë>Èc×³Ä Ï ÉRƲê0ÔÖùÄ Ï Ê^ijÔjÃ0ƲÉRÌ0ׯÑê ÐÏÑРà РƲÉRƲÉRijÌÅ
þ Ä Ï Í°Â>Ù
£ó²ò^í²÷÷>ÙWPíîùîLÙÝÜ ã ÞÞ>æ³æ¶â¼Þ0Ü ã à À3ã Â
èm ä Ï Ä3Êëê Ð ÔjÄ ÏÑÐ Âå Ð Êê Ð¹Ï Êëê Ð ÈcÉRÌÐ Ë¶É Ï²Ð Í0Ì%Ê¹Ë ÏÑÏ Ð Í0˶ÌÅ0ÌÔjÄ³Æ ÂjÚÙÙ
ï "!$#Ù°Û%¹ôaÙ'&(
)!ó^ô÷XÜ:Þ³à*+á Àã â0á À æÜ ã à À³Á Â
Þ À
ä Ï Ä À *¶ç
èm ä Ï Ä3Êëê Ð ÔjÄ ÏÑÐ Â-, Ï Ë¶ÌÍ+ Ê Ð¹Ï Å Ë¶ÌÍ
ÏÑРà РƲÉRƲÉcħÌÅ^ÂØ°õíÑòó Ù©ÚTòö/.%0îLÙ*Û%¹ôaÙÝÜ
æ1+'* Á â À *Ü ã à À *Â
ÎéË Ï àá¹çèmÂ3ÎéË Ï Ë§ÊëêxÂ*ÒÃ:ƲÉcÔ
˶ÈÅ2+3jøÆ ϲйРÊ^ħÌÅLÆ Ï Ê^ÆÑÉcħÌ
þ ÉRƲêjÈqË Ï × Ð Ë>ÈcÃ0ê Ë54 Ð ÆÅXÂ76oÌ
£ó²ò¶Ù8$9³îõ#ï:;0 Ù0Û%<§ö/.xÙ$=xò$0;#Ù*ÚTòö/.%0îLÙÛ% ôaÙ'&>=)?iÚ5ÛA@;B¹Ü¶ÃË>× Ð Å ã Á á^â ã æ Á Ü
ý Ð þ7ÿ Ä ÏC Ü:ý ÿ
Ü ã à³àáÂ62D(D(D
üPϲРŲÅ^Â
ÎFE3à À ç¾#ÂEÂÎ Ï Ë Ð Ì Ð È9˶ÌÍHG0ÂEÉcÔjà ÅLijÌ9ÂJIÄ þ
ÔË>ÌìÅK$Ë Ï²Ð ÅNʹË>Ì=Ë}ÅLÆ Ï ÉcÌ:×}Ê^ijÌÕ
ƥ˶ÉcÌ%LNMéÙTÚTòöPO>ÙØ°õíÑòóQ<ÛxíXó¹ÙxïiÜ À Þ+ ã³ã Þ¹â ã ÞÜ ã à³à À Â
'R Ųà¼á çPS# R ÅT Ð ÈqͰÂïðeñòóXôcîõ:ö÷Nò$#Ûî,ó^ôU§ñ¶÷"&NØ:óëíí²÷"&V!$;#ÛxíCWX00íQ;^í²÷YfÚTòö/.%0¼îÇíXó
Û% ôaíQ;^íZ!$;#=ÚTòö/.%0¼î[!³î,ôò$;!³ð>\ôò³ðòëñ1<¶Âä©Ë>Ô]4 Ï ÉÍ3× Ð úÌ0ÉRû Ð¹Ï ÅÇÉcÆÇì
ÿ Ä ÏC Üý ÿ
üPÏÑРŲÅXܰý Ð þ
Ü ã à³àáÂ
^_^ à À çå ^ ħÈcÃË
Ä>ûË¶Ì Í
R
 ^ Êëê Ð¹Ï Ä>ûÂè=˶ø3ÉcÔË>È ÏÑРà РƲÉRƲÉcħÌÅ5ÉRÌ
ÆÑÄAT ÌÍ=˶ÈRÈTÅK$Ë ÏÑÐ ÅiÉcÌ=ÈRÉcÌ Ð Ë Ï ÆÑÉcÔ
þ Ä Ï Í0ÅPÄ Ï ê0Ä þ
Ð Â`, Ð Êê0Ì0Éqʹ˶È*å Ð ÃÄ Ï Æà À ÕoåÕÇÞ§Þ¼áÜaxÒ å-6Ǿ#Ü
ã à³à À Â
^ Ä Å²à>æ³ç]E ÂåÂ
^ Ä Å²Ë Ï ËXbxÂ
äTijÔÃ;0ÆË>ƲÉRijÌ
ĶÖ(ÅCK Ë Ï²Ð Å
ÉcÌ
ËÅÇÆ Ï ÉcÌ0×:Â
6oÌ
èmÂ0ä Ï Ä3Êê Ð ÔÄ Ï²Ð Ë>ÌÍcS# R ÅT Ð ÈÍÜ Ð ÍÉcÆÑÄ Ï ÅXÜ*ÚTòöPO¹ôU;!³î,òó^ôU!³ð;
)!³îaîÇíXóQ]de!³î[ëõf
ôU³ñY-g³îõï:;;0!³ðÛ%<§ö/.0ò¶÷ ôU03ö_&TÚ>
(dh@Xi°Ù3ï÷ ôcðòöP!ó& Ú(!³ðÝô òój:ôU!5&7M;0éí-k@$@Xi°Ù
£ó²ò^ííC#ôU³ñ>÷XÜéÌ0Ôl4 Ð ÏiÀ ¼ájÉRÌma Ð Ê^ÆC ϲÐ
ýÄ§Æ Ð ÅÉcÌmäTijÔÃ;0Æ Ð Ï E3ÊXÉ Ð ÌÊ Ð ÜéÃ Ë¶× Ð Å
ã æ$* â ã Ü7n Ð¹Ï ÈRÉcÌxÜ ã à³à¶æ:ÂVE Ã Ï ÉRÌ0× Ð¹ÏoTÐ¹Ï ÈË>×0Â
aE3à Á ç
Í Ð Ô
R
Â3èmÂpaË>ÌÍ0Ë˶ÌÍZG0 ü Â;E3Êëê:ÔjÉÍÆ ¾Ì˶Èc×§Ä Ï ÉcƲê:Ô
ÖùÄ Ï Ë>Ã0Ã Ï Ä¶ø3ÉcÔ
Ë¶Æ Ð Æ¥Ë¶ÌÕ
ϲРà РË>ÆÅXÂ;6[̾#Â>¾ÃÄÅÇÆ²Ä³ÈRÉÊ^Ä:Üèm³ä Ï Ä3Êê Ð ÔÄ Ï²Ð Üq* R Ë>ÈcÉRÈ[ܧ˶ÌÍú#Â>è=˶Ì4 Ð¹Ï Ü
Ð Í3ÉcÆ²Ä Ï ÅXܰÚTòöPO¹ôU!³î[òóXôU!³ð
)!³îùîLíëójrde!³î[ëõ:ôU³ñ+Ysi0îõï:;0+!³ð3Û%<³ö/.:ò¶÷ ôU03ö_&PÚ>
(d
@$8Ù;
)!$#ò$tX!5&¥î!³ðu<X&JM0éík@$@$8Ù;
£ó²ò^ííC#ôU³ñ¶÷XÜ>Ì0Ô]4 Ð¹Ï * À æ#ÉRÌca Ð Ê^Æ Ï²Ð ýÄ§Æ Ð Å
ÉRÌuäTħÔjÃ;0Æ Ð¹Ï E¼Ê^É Ð Ì Ê Ð ÜÃ Ë¶× Ð Å ã Þ â ã¹Á§Á Ün Ð¹Ï ÈcÉRÌxÜ ã à³à Á Â>E Ã Ï ÉRÌ0× Ð¹ÏoTÐ¹Ï ÈË>×0Â
aqxá*¶ç¾#Âa Ð Ôjà РÈ9˶ÌÍvG0ÂqÉcûÂÒÌÆÑê Ð
ÊXijÔjÃ0È Ð ø3ÉcÆÇìĶÖJT Ì0ÉcÆ Ð Å Ð K Ð ÌÊ Ð ÅXÂ/w(w(w
Ø:ó!$¼÷>Ù%Q>ÙNذõíÑòóQ<¼ÙÝÜ:Þ³Þ ã áx â À3ã Ü ã à¼áx*Â
Þ§à
è=覃 À à¶çèm R
£è=˶ÉcÌ9ÂyS Ð Æ Ð Ê^ƲÉRÌ0×È Ð ÖùƲÔÄÅLÆÔ
˶ø3ÉcÔË>ÈÃ Ð¹Ï ÉRÄ3ÍÉÊXÉcÆ²É Ð Å^Âyzô÷{¹óíîLí
ï|.$.ðÝôaíC#]de!³îõíXöP!³î,ôUë÷XÜÞ ã æ1 â ã Á Ü ã à À àÂ
è=ʶäNá*>çrDNÂxèmÂ*è=ʶä ÏÑÐ Éc×§êÆ Â¾ÓÅLÃ Ë³Ê Ð Õ Ð Ê^ħÌ0ijÔÉʹË>ÈTÅ}+3øÆ ϲйÐ
×§Ä Ï ÉRƲê0Ô
è~a À æ³çèm R
Ê^ħÌÅLÆ Ï Ê^ÆÑÉcħÌmË>ÈÕ
ÂMÙ°ïÚ>d=ÜÞ Á [Þ$"ßÞ*³Þ¹â3Þá>ÞÜ ã à¼á*3Â
Âè=˶ÉcÌ
˶ÌÍåÂ%G0ÂaÄ ÏÑÐ Ì3ÆÂN¾Ì~ÈRij×)V£Ë¶Èc×§Ä Ï ÉcƲê:Ô
ÖùÄ Ï T ÌÍÉcÌ:×
Ë>ÈcÈ Ï²Ð Ã Ð Æ²ÉcÆÑÉcħÌÅÉcÌËÅLÆ Ï ÉRÌ0×0Â-MéÙïðeñòóXôcîõ:ö÷XÜ+ æ Þ³Þ¹âæ Á ÞÜ ã à À æ:Â
è~a À ¶çèm R
Â3è=˶ÉcÌË¶Ì ÍjåÂG0Â+aÄ Ï²Ð Ì3Æ Â>aÉcÌ Ð Ë Ï ÆÑÉcÔ
ЩϲРÊXij׳Ì:ÉcƲÉRijÌ}Ä¶Ö ÅK$Ë ÏÑÐ Ö Ï²Ð¹Ð
ÅÇÆ Ï ÉRÌ0×ÅXÂ;6[̾#Â>¾ÃÄÅÇÆ²Ä§ÈcÉÊXÄiË>ÌÍ]q* R ˶ÈcÉRÈ[Ü Ð ÍÉRÆ²Ä Ï Å^ÜÚTòöPO¹ôU;!³î,òó^ôU!³ðïðeñòóXôcîõ:ö÷
ò$yòóC#¶÷XܰûijÈ0Ô
Ð
Î ã ÞAÄ>Ö`
ïlØ(?
ïÛ;ÛxíXóXôaí²÷XÜPÃË>× Ð ÅÞ¼á ã â3Þá À  EÃ Ï ÉcÌ:× Ð¹Ï
oTÐ¹Ï È˶×:Ü;n Ð¹Ï ÈcÉRÌxÜ ã à À 3Â
å ü D Àã ç#èmÂZågÄ3Í Ð êxÜ o
ÂPål üPÏ Ë¶ÆÑƹÜTË>ÌÍEÂsDPû Ð ÌxÂmaÉcÌ Ð Ë Ï
Ê^ħÔjà ÏÑРŲÅÇÉcijÌûÉqËÅLÆ Ï ÉcÌ0×}ÔË>ÆÊê0ÉcÌ0×:Â(MéÙ°ïÚ>d
E R à À çG0Â>EÆÑĶì Ð
ÄÅ
Í0˶ƥË
ÜÞ À ã ã * â3Þ>æ0Ü ã à À3ã Â
Ë¶Ì ÍmS# R ÅT Ð ÈͰÂEÉcÔjÃ:È Ð Ë¶ÌÍv Ð ø3É40È Ð
ϲРà РË>ÆÅ]ÅÇÉcÌ0×
˶ÈR×³Ä Ï ÉcÆÑê0ÔÖùÄ Ï
Í Ð Æ Ð Ê^ƲÉRijÌ=Ä¶Ö ÊXijÌ3ƲÉc×Õ
ËmÅ}+3øÆ ϲйРÂ6[ÌpèmÂÎË Ï Ë³ÊêxÜ Ð ÍÉRÆ²Ä Ï Ü}ÚTòöPO¹ôU;!³î,òó^ôU!³ð
)!³îùîLíXóQde!³î[ëõ:ôU³ñ+Y@³îõï:;;0!³ð5Û%<§ö/.0ò¶÷ ôU03ö_& Ú>
(d
MíXó²÷>íQ<x&xÛ0ï/&)M;0ðu<k@$@$9Ù%
NóÑò^ííC#ôU³ñ¶÷XÜ0Ì0Ô]4 Ð¹Ï ã æ§æ À
@$9Ù
Nô÷{"!³î[!$J!$<X&
íQ
ÉRÌ~a Ð Ê^ÆC ϲРýÄ§Æ Ð ÅNÉcÌ
äTħÔjÃ;0Æ Ð¹Ï E3ÊXÉ Ð ÌÊ Ð ÜÃË>× Ð Å ã æ1 â ã ³Þ3Ün Ð¹Ï ÈcÉcÌ9Ü ã à³à À Â>EÃ Ï ÉcÌ:× Ð¹ÏoTÐ¹Ï È˶×:Â
ú + à>ç`DNÂú + Ä§Ì Ð ÌxÂ
ÒÌÕ,ÈcÉRÌ Ð
ÊXijÌÅÇÆ Ï Ê^ƲÉRijÌpĶÖÅ}3jøÆ ϲйРÅXÂ
ïðeñòóXôcîõ:öôU"!³Ü
ã æ;Þ>æà¹â3Þ*Ü ã à§à3Â
Ð ùÉ á Á ç ü Â
Ð ÉcÌ Ð¹Ï Â/aÉcÌ Ð Ë Ï Ã˶ÆÑÆ Ð¹Ï ÌÔË>ÆÊê0ÉcÌ:×}˶Èc×§Ä Ï ÉcƲê:ÔÅ^Â6[Ìew(w(wkQi0îõï:+f
;0!³ðéÛ<³ö/.:ò¶÷ ôU0öÓò$jÛ%Pôcî[ëõ:ôU³ñ!$;##ï:0î[òöP!³î[!uذõíÑòóQ<¶Ü§ÃË¶× Ð Å ã â ã³ã Â62D(D(D
üPϲРŲÅ^Ü ã à¼á Á Â
Á
© Copyright 2025 Paperzz