Linear Time Algorithms for Finding and Representing all - CS-CSIF

!" #$%&'%)( +*+,
",
"-$./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|"€
‚ƒ„…ƒ†„…‡u„‰ˆ‹ŠŒŽ-‘u„…’Žƒ“’o”‡‘•†„…"‡u-–•†ƒh„—–ˆoŠVu˜T’!u‡z™Vˆo"–-„…‘–-š†Š‰ˆo‡‘-›.„…ƒ‚šhœŽš†‘‡ 9ŽŽžhŸ ‡›h„¢¡m-‘
”cu’!£¤‡u•h"˜†uu-ƒH‡Œ!-u‘„…’Žƒ˜†u„…£ˆou„…Š…¥"¦H¥‡‘•†2„…ƒ†–-Š…š†u„…’!ƒ§’‹”©¨H–-‡u„…’Žƒfª Ÿ
«¬ ^†n^­gh_oao®¯[©gh_]ibxg†spspq°n-\3[3[XZ_i]^†±?²Oq´³T_oghd8]onfeµz¶‘|·~¹¸­ºZ»Z»†€m¼$ru_XZY&]®3^.½f`8¾¿g†d±
e{+|·¾
À§ÁT»­|·~ZÁZ{ ¬ ¼ZÁT~Z~m~Qru_XTY7]®3^.eç{zwVg†d±¯]®3^.À^H_Y´g†d?ÄajgZ±O^HY<bxa{2Å,a‹®g†d3³Z^
`m^j_l8bxa!^ÆÇe:ħÄeÃÈoy
É
Ê Ë5̯ÍÎÏ7ÐÑËoÒ ÍÔÓÖÕo×ÙØ1Ï+ËiÚÛ¯Ò ÜÞÝmØÙÏàßáË5Ìãâ¯Ë5Ì¯× ÎÌ?â
¿
äÞÍzå¯ÏVÍ:ÜæÍz̓Ú2Ë5Ì¯× ÎÃՎÕÚÛ¯ÍÔÐÎÌ?â´ÍzÒ äÑÍzåçÍÎ:Ú2Ü7ËoÌ Î
è ÚÏ+Ë5̯×
=?>L@CB?D"FHGIOJÇKé
MLI8@"FQPRZS8UVI3ê
ë ìAíoîŽï!ð8ñHî
òôóiõ†öZ÷møŽù7ú·øŽûmøŽõHó´üpýTúþÿmõ†ú·ø…þ õQþ-óiú‰ö
ZøŽúø…þõ°öZýZö
øŽùfûZóþ-óiú‰ö´øûmúøoþ-øŽöhó/õhö ü u!ó ‰ùø#õ "$†ýTú …%ó mùC%ó mõHóýTûmøŽú-õ­ó-øoþýZö
ó%Zøþ%&('Ùóiú·øoø*)§ü+-,výTúõfþ-óú‰ö ./0,öZ1÷ ‰ö .õ†öZ÷$ùfõ†!ú 2‰ö Ù3ó ZøøŽöZ÷8ûmý öhó
ö4)§ü56ý#,879:7;3<?óiõ†öZ÷møŽùàúøŽû¹øŽõHóÙ3ó mõHófý =>=mú
þ ‰?
ö @BA/…þ÷m>ø =oýTú-õHóøo÷
þ%&.'óúøoø ùÃû"C$=>…ó!"$úøŽûmúøoþ-øŽöhó-þ#õ "$"mý =>=mú-úøŽö =oøoþDý ,,óiõ†öZ÷møŽù ú·øŽûmøŽõHó-Eþ ‰8ö @
õ†öZ÷=Žõ†öFmøZþ-øo÷ó-ý'3ø &.=>…øŽöh!ó "$fþ-Gý "$H†ø"ùfõ†ö z1ÿ Zøoþ-!ó …ýTöZ6þ =oýZö =oøŽú-ö ‰ö óiõ†öZ÷møŽù
úøŽûmøŽõHóþæõ†öZ÷óiõhöZ÷møŽù õ†ú-ú-:õ ZIþ ‰Jö @KA/…þ ùÃûmú#ý H†øoþæõhöZJ÷ høŽöZøŽú-#õ "$$Loøoþþ->ø H†øŽú#õ "
ûmú …ýTú23ø MýTúó-þ2ó-ýÃ3ø &.=>…øŽö†!ó "$=Žõ†ûZ3ó mú*ø "‰õ†ú høz%þ 1FZþ-øoó-þ"Dý ,æóiõhöZ÷møŽùNúøŽûmøŽõ­ó-þ N
OPRQS/TVUXWXYQ@Z[T\P
Ä o] g†d±O^HY _^H[^†g†]ÆÇn3]m\gh_i^ZÈ2bvn'g1n-]_ibpd3³X†r]®3^:ruXT_Y_^^X`z®3^H_i^8^?bxn'gfd3XZd8|^HY<[3]-q
n-]_bcd3³3y
Àbplm^Hd g?n]i_bcd3³4aXhrsp^jd3³Z]i®Bb+w"g¯d8\3Y.² ^j_Xhrc]¹\,^†n]ibpXZd©nÃ_^j³mgh_5±Obpd,³?]oghd©±O^HY
_i^H[^†gh]5n+Y´gHqf² ^gTndm^†±Lye'®3^n-bpY$[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
`8aŽbp^HdaŽ^´¾3XZ\3d±,gh]bcXZdVwg†d±}²8q³Z_5ghd8]$e§{ |·¾2ÀÁT»­|·~ZÁT{ ¬ ¼ZÁT~m~Z~ru_XZY ]i®3^°e:^H[g†_]|
Y$^jdO]"Xhr{
d,^H_³Tqmy2^HY´g†bps vV³T\wn q^jsxy± x§aHnŽy \aH±,g­l8bxnŽy ^†±8\
z ¬ ^†n^­gh_oao®fn-\3[3[XZ_i]^†±1²8q]®,^0À^H_iY´ghdÙÄajgZ±O^HY<bxa{
Å,ao®ghd3³T^z`m^H_l8bxaŽ^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?WghdaŽ^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$²^fghd©n `'^j_ogh²,sp^bpdt€1Æ b È"]ibpY$^c W"_X Z»3w‚4ƒL„3w3W"_iXmZ¼w3W ¬ ~†€1…y"Â:d,^Y$bp³T®O]
ru\3_i]®3^j_ò^.bpd8]^H_i^†n]i^†±Qbcd bv±O^Hd8]b‰ruqObcd3³´ghscs*†G‡>‡#il:l>mˆ‰‡:m3f.Xhr/]og†d±O^HY)_i^H[^†gh]5nÃbpdŠay
`mbcda!^?]i®3^H_^çajghd² ^ gZn$Y´ghd8q gTntb‹:ŒH€4X8aHa!\3_i_^Hd©a!^†n“X†r.]oghd©±O^HY _i^H[^†gh]5nQbcdg
n-]_bcd3³çXhrfsc^Hd3³Z]i
® bwzghd :^  a!bc^HdO]Ùg†sp³ZXT_bc]®3YÔruXZ_<]®3bvn1]ogZ!n d`zbcsps±O^H[^Hd©±}XZd4]®3^
XT\3][3\,].nob rj^mw2±O^jd3XZ]i^†B
± Ž3y `m^Hlm^H_5gh*s €1Æ b:spXT³ b‘’ŽOȧ]bpY<^.ghsp³TXZ_ibp]®,Y´n1g†_t
^ dOd,X `zd
“‚4ƒLh€3‰
w ƒV`8~T»3wO`3À§~Z1 …OruXT_]i®3bxn2]5gZn dLy2¶]"bxnXhru]^jd“X†rVbpd8]^j_^†n-]2]Xf_^­n]_ibxa!] ]®3^zXT\3][3\,]
]iX?]®3X n^´]og†d±O^HYÔ_i^H[^†gh]5(n `z®3bxao®¤±OXçd3XT].a!XZd8]og†bpd4n®3XT_]i^H__^H[^†g†]onŽŠ
y e'®3^†n-^°gh_^
aHg†spsc^†•
± ”Kl–+—–o˜–+™Gm¯]og†d±O^HY _i^H[^†gh]5n!yô¶]$bv\
n d8d3GX `zd ]®g†]Q]i®3^H_i^çaHghd ²^ gh]´Y$Xmn-]
€ÙÆ bspXZš
³ b ÈX8aHaŽ\3__i^Hda!^†nAX†r3[,_bpY<bp]bclm^V]og†d±O^HY _i^H[^†gh]5nAbpdÙgzn]i_bcd3³zXhrsc^Hd3³T]8® bwZg†d±
n-^Hlm^H_og†sghsp³TXZ_ibp]®,Y´n1g†_›
^ d8d3GX `zd¤]®g†]bx±O^Hd8]b‰ruq?]®3X n^$X8aja!\3__i^Hda!^­nÃbpœ
d €1Æ b:spXT*³ b È
]ibpY$^  W"_iXm É wÄ { T»OwA`3À§~T …y
¶dÙg'lm^H_qzbcY$[3_^­nnbclm^mwo]®3XT\3³Z®Ù®3bp³T®3spq]^­a‹®3d,bxaHg†sw!^jÅO]i^Hd±O^†±§gh²n-]_ogTa!]Hžw |Xmnigh_o[g Ÿ\
“| X n~†1
€ …AgT±3±O_i^†nn-^†n]i®3^ ]m\3^†n-]bcXZd$X†r 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 ~^g†sxnXY<^HdO]ibpXTdn2]®3^[,_XZ²,sp^HY XhEr qd©±Obpd3³.g†spsLX8aHa!\3_i_^HdaŽ^†nX†r
[3_ibpY$bc]bclm^']og†d±O^HY _^j[ ^­gh]on'bc‘
d a ghd±L‰w `zbp]®,XZ\3]±O^j]oghbcsxnŽwOn-]og†]^†n']i®gh]z]i®3^fn dm^j]oao®3^†±
g†sp³ZXT_bc]®3Y7ajghd´²^^HÅ8]^Hd±8^†±“]X.n-XZsclm^]®3bvn ]¹\,^†n]ibpXZd´bc‘
d €ÙÆ b\?ŽOÈ"]bcY$^ `z®3^H_i^mw3gTn
g†² X†lm^mIw Žbxn']i®3^Ùnsb rH^Xhr
]®3^fXZ\,][3\3]jy
¬ ^†a!^Hd8]scq$bp] `/gZnfn®,X `zdç]®©gh]f]®3^d8\3Y.²^H_:X†r/±O¥b ¤L^H_i^HdO] ˜¦>”ym%fXhr/]oghd©±O^HYà_i^!|
[^†g†]on.a!XZd8]og†bpd3^†±¤bpd4gçn]_ibpd3³çXhr sp^Hd3³T]œ
® b bxn² XT\3d±O^­±}²8§
q €ÙÆ b ¡
È  ¾`8~T …Ç
y e¨`X
]5ghd±O^jY _^j[ ^­gh]o
n ^^ôg†d©
± ^Eª«^Eªgh_i^?Xhr.±8¥b ¤L^H_^jdO].]-qO[^?btrÃghd± XZd3scq¿b‰
r ^­® ¬ ^Eªxy
½:XT]^.]®g†]]®3bv¯
n €ÙÆ bVȲXZ\,d±¤a!XZ\3d8]onf^†gZao®]5ghd±O^jYÖ_i^H[^†gh]Ù]q8[^“XTd3spqçXZd©a!^mw+d,X
Y´g†]]i^H_'®3GX `NY´g†dOq.]bcY$^†n]i®gh]]og†d±O^HY7_i^H[^†gh]]-qO[^fX8aHa!\3_5n0bcd¯]i®3^n-]_bcd3³3šy e'®3bxn
€ÙÆ bVȲXZ\,d±sp^†gT±3n]X?g†dbpd8]^j_^†n-]bpd,³¯ao®g†spsp^jd3³Z1
^ v1Wg†B
d `'
^ qd± XTd3^$X8aHa!\,__^jda!^
X†rf^†gZao®]5ghd±O^jY _i^H[^†gh]]-q8[^Qbc
d €1Æ b ÈÙ]bcY$^ °7`m\ao®4gãscbxn]X†rf±8¥b ¤L^H_^jdO]_i^H[^†gh]
]-q8[ ^­n$ƑXZ_Y<XZ_^<[3_^†aŽbxn^jspqçgçn]og†_].spX8aHg†]bcXZd4ghd±¤sp^Hd,³Z]®¤X†r^†gTa‹®LÈfbxnaHg†spsp^­± ]®3^
™#†G‡>j1±#i1²«j1l¦ ƑXhr<]og†d±O^HY _^j[ ^­gh]onoÈ´Xhr n]i_bpd,©
³ ay ¾©XT_¯^HÅ,ghY<[3sp^mw§g¿lmX8aHgh²,\3sxg†_q
X†r1]5ghd±8^HY _i^H[^†gh]5n“XhrÙ]®,^çn]_ibpd3
³ ³ž´y³³ž´y³³´´I³1³k³G´I³k³G´I³µ´bxn“³Tbplm^Hd4²Oq¤]®,^çn^H]
X†r$[g†bp_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
³ž´y³³ž´y³,k
w ´I³k³ž´I³k³,w ³k³,Ew ³k³ž´y³³ž´Aw ´k´Ly e'®3›
^ fGmº˜*†n†G‡>‡#illpmˆ‰‡:m%fXhr]og†d±O^HY7_i^H[^†gh]5n
XTd}]i®3^$XT]®3^H_Ù®ghd©±}aŽXZd8]oghbcdn1g¯[©ghbp_fruXZ_^†gTa‹® X8aHa!\3_i_^HdaŽ^“X†rfg¯]5ghd±O^jYÖ_i^H[^†gh]
bc©
d ay ¶d¿]i®3^?g†²Xhlm^?^jÅ3g†Y$[3sp^ w2]®3^En^H].XhrÙX8aHa!\,__^jda!^†nXhrÙ]og†d±O^HY _i^H[^†gh]5n“bxn
¶8Æ É ¸ ¼mÈ ¸ ÆÇº ¸ ¼mÈ ¸ ÆÇ» ¸ ºmÈ ¸ ÆÇ» ¸ ¼mÈ ¸ ÆÇ¼ ¸ ºmÈ ¸ ÆÇ ¸ ºmÈ ¸ Æ É Á ¸ º¹È ¸ Æ ÉZÉ ¸ º¹È ¸ Æ ÉZžÉ ¸ ¼¹È ¸ Æ É º ¸ ¼mÈ ¸ Æ É € ¸ º¹%È ¹8y
»½¼‰¾À¿Á›ÂÃ#ÄÅ+Æ
¶d´]®3bvn0[©gh[^H_HwI`'^f[3_i^†n^jdO]§ghdEghsp³TXZ_ibp]®,Y ]i®gh]qd±,n0]i®3^1lmX8aHg†²3\3svgh_q<Xhrg$n-]_ibpd3³
a¤X†r"sp^Hd,³Z]g
® bãbcX
d €1Æ b Èz]ibpY$^§ghd©±?n[gTa!^myz¶d?n-X$±8XZbpd,³3w]®3^ ghsp³TXZ_ibp]®,Y bcY$[3scbxa!bc]s‰q
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\$Ť]_i^H^´XhrÙn-]_ibpd3³³ž´I³k³ž´y³³ž´k´I³1³k³G´I³³G´y³µ8y}W"bc_oa!sc^†n1bpd±8bxaHg†]^´]®3^
^Hd©±O[XZbpd8]onfXhr§]og†d±O^HY _^H[^†g†]onŽy Âd3spq?]i®3^´ao®gh_5gZa!]i^H_onfd3^H^†±O^­±ã]iXçn[^HspsXZ\3]Ù]®3^
]5ghd±O^jYÑ_^H[^†g†]ongh_i^1n-®3XG`zd¯XTd¯]®,^Ã]i_^H^ y
svg­q,nXZ\3]]i®3^´a!XTY$[3sc^H]^ n]_i\a!]i\3_^$X†r]®3^<]oghd©±O^HY _^H[^†g†]onÃbcday‘e'®,^Q_i^†n\,sp]fbxn
gTa‹®3bc^Hlm^†±:bcdgz]®3_i^H^!|Ç[3®gTn^'[,_X8a!^†±8\3_^my { ®gZn-^¶Çqd±,n2g:n-\3²n-^H]+X†rL]®3^"X8aHa!\,__^jda!^†n
X†r"]og†d±O^HYÑ_i^H[^†gh]5n!‰w `z®3bva‹t
® `^1ajghspst
g ²omon˜ —†f˜‡>†1™Gml:–+ˆžÈ¡fGm>˜uw\nbcd3³.ghd°^HÅO]i^Hdn-bpXZd
X†r1W"_iX8a‹®3^jY$XZ_i1^ Ʌnspbcd3^†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$Xmn-]"a!X†lm^H_ibpd3³§n^H]jy { ®gZn-^¶i¶¶V]_ogHlm^H_5n^†n[gh_i]onX†rV]i®3^n-k\ <Å1]_i^H^'ru_XTYô]®3^
^Hd©±O[XZbpd8]on:ruXT\3d±?bpd { ®©gZn^<¶¶owA]iX´XZ²3]5ghbpd ]®3^.a!XTY$[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^´Xhr aNbx
n Îkm%‡>†1l3j˜!m%Î4`zbp]®4]®3^
mˆ£Î:”‰†1–+ˆ˜'Xhr^†gTa‹®<]oghd©±O^HY _^H[^†g†]zbpd$]i®3^lmX8aHg†²3\3sxg†_q.Xh
r ay"¾©XT_zg†dQ^jÅ3g†Y$[3sp^ wmn^H^
¾+bc³Z\3_i^ É y
W"sp^­gh_scqmwmn-\a‹®.gÙ±O^†a!XT_og†]^†±n-k\ $Å]i_^H^aŽXZY$[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±$]i®3^spX8ajgh]bcXZdn"bp‘
d aÏ`z®3^j_^]i®3^HqX8aHa!\,#_ Ð3bp]aHg†d´² ^
\n-^†±1]XÙg†dn `^H_2Y´g†dO.q ]m\3^†n]ibpXTdn+_^j³mgh_5±Obpd,³Ã]5ghd±8^HY_i^H[^†gh]5n!y"¾3XZ_2^jÅ3g†Y$[3sp^ wHXZda!^
]i®3^n-k\ $Å´]i_^H^f®gTn:²^H^Hd?±8^†a!XZ_5gh]i^†V
± `zbc]®¯]i®3^1^jd±O[XZbcdO]Xhr"^­gZao®¯]og†d±O^HY7_i^H[^†gh]
bcd ]i®3^$lmX8aHg†²3\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]ŽÈ]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]®,^g†² X†lm^!|ÇY$^Hd8]bcXZd3^­±
[3_iXZ²3sc^HY´nza!XTda!^H_id3bpd,³$]og†d±O^HY7_^j[ ^­gh]onÆÇghd±¯Y$XT_^ZÈajghd?²^.nXTsplm^†±´bpd?]bcY$^fg†d±
n-[gZa!^f²XZ\,d±3n:]i®gh]§gh_i^1gTn0³TXmX8±¯XZ_²^H]]i^H_z]®g†d´[3_^Hl8bpXT\nscq$^†n-]ogh²,spbxn-®3^†±Ay
Â\3Ò_ €ÙÆ b ȑ|Ç]bcY$^Y$^H]®,X8± ]iX±O^†aŽXZ_og†]^]i®3^fn-k\ $Å.]_i^H*^ `zbp]®<]®3^lmX8ajgh²3\3svgh_iq“X†r
]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
€ …w3g†d±¯g†sxn-X$±O«b ¤L^H_^Hd8]ru_iXZYÑ]i®3Xmn-^1bcŠ
d …`3À§~Z …Çy
¶d±O^H[^Hd©±O^Hd8]'Xhr XZ\,Ò_ `XZ3_ d<[3_^†n-^Hd8]^†±“®,^H_^mw,g1_^†aŽ^HdO]/ghdg†spq,nbvn'Xhr ]®3^fd8\3Y“²^H_
X†rA[X nnbc²3sp.^ liˆÓfXhrL[3_bcY$bp]ibplm^]og†d±O^HY _^H[^†g†]on `/gZn+Y´gT±O^mwTghd±g§±O¥b ¤L^H_i^HdO]spbcd3^†g†_|
]ibpY$^Ùghsc³ZXT_bp]i®3Ô
Y `zgTn:XZ²,]oghbcd3^†œ
± Í|8|f~ZG …2]®g†] qd±3nfghscs2]®,^†n^_i\3dnbpŠ
d €ÙÆ bVÈ]bpY<^
\n-bpd3³ ghd$^jÅO]i^HdnbcXZdX†Õr ‚?ghbpÖd Ʌn"ghsc³ZXZ_ibp]i®3×
Y Í‚?g†bxZG~ …Õy e'®3^Hbp_g†sp³ZXT_bc]®3Y ]®3^jd$g†spspGX `n
XTd3^1]i\
X qd±?g†sps]®3^ Ž“]og†d±O^HY&_^H[^†g†]:X8aHaŽ\3__i^Hda!^†nzbpÏ
d a¤bpŠ
d €ÙÆ b›œŽOÈ]bpY<^mw3g†d±
bc‘
d €ÙÆ b Èn-[gZaŽ^m/y ~:GX `'^Hlm^j_HwZ]i®3^Hbp_g†sp³ZXT_bc]®3Y7±8Xm^†n'd3XZ]/gZ±3±8_^†nin']®3^Y ghbpd._^­n\3sc]'bpd
XT\3_[g†[ ^j_H‰w qd±Obcd3³$]®,t
^ ™#†G‡>j1±#i1²«j1l¦ X†r"]og†d±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 ghsxnŽy
Ø
ÙBÚS¨Û
ZGP
T\Ü[TÝÞ
߯PXU
ÙBÚ8Y¨àXPXZGYßÜáâßY/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?X†rAsc^Hd3³T]®b ®èç a ç y ä ^gTnn\,Y$^a¯^jd±3n`zbp]i®.gÃao®g†_ogZaŽ]^H_
ésê1É2d3XT]X8aHa!\3_i_bpd,³ ^Hsvn^#`z®,^H_^.bpday¤¾3XZ_ Ɋë ëâìë bwíaš“ 3îoî ì …±O^jd3XZ]i^†n1]®3^
n-\3²n]i_bcd3³$Xh*r a4²^H³Zbcd3d3bpd,›
³ `zbp]i®?]®3R
^ ‘]i®?g†d±¯^Hd±Obcd3›
³ `zbc]®?]®,^ ì ]®çao®gh_5gZa!]i^H_X†r
aÐ`^$nigHq ]i®3^H_^bvn1g†
d †G‡>‡#il:l>mˆ‰‡:mX†8r a“ 3îoî ì …2g†]1[Xmn-bp]bcXZB
d zbpB
d ayQ`m]i_bcd3X
³ ï*ð¯bxn
aHg†spsc^†±$]®3
^ l–$È¢˜òñwl3†˜ j˜–+†1ˆQX†rn]i_bcd3›
³ ðïf‰w `z®3^H_^ ð“bxnzg<nbpd,³Zsp^Ùao®gh_5gZa!]i^H_ghd©‘
± ï bxn
gd3XZd8|^HY<[3]-q.n\3²n-]_ibpd3³,y
Äôn]i_bcd3
³ ïôóæõ}bxn§Ê
g ˜ j1ˆ‰Îkm—ölpm ”ym%j˜zb‰r'bc]faHg†d ²R
^ `z_bp]i]^HdçgT8n ï ® ^^¿ruXZ_
n-XZY$t
^ ^âó÷æõ2y¤Ä:dX8aHaŽ\3__i^Hda!^´Xhr g?]oghd©±O^HYÔ_i^H[^†ghR
] ^6^ ® ašÍ %îoî$ Eùøú É …zbxn
_i^H[3_^­n^Hd8]^†±$²8q´g[ghbc_1Æ ¸ øÈowaHg†spsp^­±Qt
g ˜ j1ˆ‰Îkm—ûlpm”Im%j˜E”£j1–+l‹y e'®38^ q_on-]:^Hd8]_iq$Xhrg
]5ghd±O^jY_^j[ ^­gh]"[ghbc_2bxn aHghscsp^†±f]®3*^ ”£†f[–o˜–+†1ˆ›mˆk˜ l:¦†w8ghd±]®3^n-^†a!XTd±1^Hd8]_qÙbxn2ajghspsc^†±
]i®3X
^ ²omˆžÈ˜5¢’mˆ˜l¦hX
y e¨`X?X8aHa!\3_i_^Hd©a!^†nÃX†r]og†d±O^HY _^H[^†g†]o\
n ašÍ %îoî$ ’øú É … ® ^^
g†d•
± ašÍ òª«îsî$ òªøEú É … ® ^Eª«^Eª2g†_^.Xhr]®,^.nghY<t
^ ˜¦>”ymb‰r/ghd± XTd3spq?b‰šr ^ ® ^-ªvy$¾3XZ_
n-bpY$[3scbxa!bc]qm#w `Ò^ `zbcsps,nXZY<^H]bcY$^†nVn[^†aŽbtruq.g]og†d±O^HYô_i^H[^†gh]"]-qO[^z²8q_^!ru^j__bcd3³]iX1g†d
X8aHaŽ\3__i^Hda!^Æ ¸ øÈ2X†r"]®g†]z_^H[^†g†]:]-q8[^mwO^Hlm^jd$]®3XT\3³Z®°]®3^Ùn-[ ^­a!¥b qLaspX8aHg†]bpXTd´bxn'd3XT]
X†rAbcdO]i^H_^­n]H6y e'®3.^ ™[†‡>j1±[iÓ²«j1l¦1ƑX†rL]oghd©±O^HY_i^H[^†gh]5n‹ÈVX†6r a¯bvn+gn-^H]2X†rA]5ghd±8^HY_i^H[^†gh]
[g†bp_5nn-\ao®“]i®gh]"^†gTa‹®]-q8[ ^zX†r]og†d±O^HY _^H[^†g†]X8aja!\3__ibpd3³fbcV
d a?bvn2a!XTdO]5ghbpd,^†± bcd]®3^
n-^H]^HÅ,gZa!]ispq$XTda!^myÙ¶d?a!XTdO]i_ogTn]HwL]®3›
^ fGm>˜J†nR†G‡>‡#illpmˆ‰‡:m%f$ÆuXhr]og†d±O^HY&_^H[^†g†]on‹ÈX†r
a a!XZd8]og†bpdnzg†spsV]®,^Ã]5ghd±8^HYÑ_^j[ ^­gh][ghbc_on'Xhš
r a'y
ä
€
:Ä dçbpd8]^H_ilTghsXhr[Xmn-bp]bcXZdn8 ¸ - ɸ î#î[î ¸ì bvnÃajghspsc^†±¯g?l:iˆŠ†ncøñ²smˆÈ˜+¢B˜ j1ˆ‰Îkm—
b‰r§Æ ¸ øÈ ¸ Æ  ɸ øÈ ¸ î#î#î ¸ Æ ì1¸ øÈgh_i^“^†gTa‹®?]5ghd±8^HYà_i^H[^†gh]f[g†bp_onŽy.Ä]oghd©±O^HY
_i^H[^†gh]z[g†bp_§Æ ¸ øÈ*‡>†1™GmlºfÙg†d3XZ]i®3^H_z]5ghd±O^jYÑ_^H[^†g†]z[ghbc_Æ ì1¸ ø·È"b‰r 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] g†d±´a!XZd8]og†bpdn ì y
½:XT]^.]®g†]1btr Æ ¸ ø·ÈaŽXhlm^j_onÆ ì1¸ øÈowV]i®3^Hdç]®3^´n-\3²n-]_bcd34
³ aš ì îoî ì Ëøú É …aHghd ² ^
XT²3]og†bpd3^†±´²Oq g$n^H_ibp^†n'X†rn\©aHa!^†ninbplm^f_ibp³Z®8]|Ç_XT]og†]bpXTdn'ru_XZY7]i®3^n-\3²n]i_bcd3‘
³ ašÍ 3îsî$ ‰
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 ³ž´y³³ž´y³³´´I³1³k³G´I³k³G´I³µ8wZ]®3^
]5ghd±O^jYÖ_i^H[^†gh]f[g†bp_$Æ É ¸ ¼mÈÙa!X†lm^H_on]®3^$[©ghbp_5n“ÆÇº ¸ ¼mÈfghd©± ÆÇ» ¸ ¼mÈow2]i®3^“[©ghbp_<Æ É Á ¸ ºmÈ
a!X†lm^H_5n:Æ ÉZÉ ¸ º¹ÈowLghd©± Æ ÉTÉ ¸ ¼mÈzaŽXhlm^j_on:Æ É º ¸ ¼¹È5y
ÄÑn-^H]1X†r[g†bp_5¯
n üÑbvn1aHg†spsc^†± B
g ‡>†1™Gml:–+ˆžÈÊfGm>˜1b‰r§ghd±XTd3spqçbtr§g†]1sp^­gZn]XTd3^$X8a‹|
a!\,__^jda!^1X†r^Hlm^H_q´_i^H[^†gh]bcd?]®3^lmX8ajgh²3\3svgh_iq¯Xhr]5ghd±O^jYà_^j[ ^­gh]onbvna!X†lm^H_^­± ²8q
XTd3^“X†rz]i®3^“[©ghbp_5nbpB
d ü1
y e'®gh]fbvn!wV]®3^._\,dnfn]og†_]ibpd3³´ru_XZY)^jlm^H_q´[g†bp_fbpB
d ü a!XTst|
sc^†a!]bclm^Hspq a!X†lm^H_gh]sp^­gZn]XZd,^1X8aHa!\,__^jda!^fXhr"^­gZao®Q]5ghd±8^HYÑ_^j[ ^­gh]]q8[^myzÄNn^j]:X†r
[g†bp_5ån übvnX
g ²omon˜ —†f˜‡>†1™Gml:–+ˆžÈVfGm>˜:b‰r]®3^Ùsp^!ru]iY$Xmn-]:X8aHaŽ\3__i^Hda!^ÙXhr^†gZao®?]-qO[^X†r
]5ghd±O^jYÑ_^H[^†g†]zbpX
d abvnza!X†lm^H_^­±“²Oq g1[ghbc_Hy"¾3XZ_^HÅ,ghY$[3sc^mkw ¶8Æ É ¸ ¼mÈ ¸ ÆÇ ¸ ºmÈ ¸ Æ ÉZÉ ¸ º¹3È ¹
bvnzg$a!X†lm^H_bcd3³n-^H]Xh8r ³ž´y³³´I³³´´y³³1³ž´y³1³ž´y³1µ,wZ²3\,]:bvn0d3XT]gsp^Žru]Y$X n]zaŽXhlm^j_bpd,³.n^H]
n-bpda!^.]®,^“sc^!ru]Y$X n]X8aja!\3__i^Hda!^.Xh
r ³k³°g†]1[Xmn-bp]ibpXZd »Qbxnfd3XZ] a!X†lm^H_^­±A›
y ~:GX `^Hlm^H_Hw
¶8Æ É¸ ¼mÈ ¸ ÆÇ» ¸ ºmÈ ¸ ÆÇ ¸ ºm3È ¹bvnzg sc^!ru]Y$X n]/a!X†lm^H_bcd3³n-^H]Hy
l>m”Im%j˜5f
ô6zV '$ 0çV-
}
e'®3^çruXZspscXG`zbpd3³4_^†n-\3sp]°²Oq¾3_ogh^jd‰dm^Hsfg†d±`mbpY$[©nXZdè ¾"`8~Z…fbxn¯^­nn^jdO]ibxghsf]iX¿XZ\,_
[3_i^†n^jdO] `XZ3_ dLy
ýíþ3ÿ
3¾ XZ_.g†dOqç[Xmn-bp]bcXZdË :bpdaw"]®3^j_^´aHg†d¤² ^ gh]Y$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_^$Y g­q?²^´Y´g†dOq?]5ghd±O^jYÖ_i^H[^†gh]]-q8[ ^­n1]®g†]X8aHa!\3_
n-]ogh_i]bcd3³çgh][Xmn-bp]ibpXZË
d w"ghscs'²3\,]] `X¤Æg†]Y$Xmn-]!ÈX†r]i®3^†n-^$]-qO[^†(n `zbcspsghsvnXçX8aHa!\3_
n-]ogh_i]bcd3³$n-XZY$[^ `z®3^H_^§]X]®,^Ã_ibp³T®O]zX†r y
ÂÂ
e'®3^.nsb rH^Xhr/]®3^lmX8aHg†²3\3svgh_q°Xhr/]oghd©±O^HY)_^j[ ^­gh]onXhrg†dOqçn-]_ibpd3³
IÅòÅÀ¼
X†r2sc^Hd3³Z]i®
bãbvn'² XT\3d±O^­±Q²8q´ºby
Äa!]i\ghscspqmwT¾3_og†^Hd‰dm^Hs8g†d±“`mbpY<[nXTd1³Zbclm^zn-spbp³T®O]ispqf]bc³Z®8]^H_²XZ\3d©±3n+ruXZ_2]i®3^nbsrH^'X†r
g1]5ghd±O^jYÑ_^H[^†g†]:lmX8ajgh²3\3svgh_iqm/y e'®3^Hq.^†n]5gh²3scbxn-®Q]i®gh]zruXZ_n-]_ibpd3³ n0X†r2sc^Hd3³Z]i
® b˄
]i®3^Ùnob rj^Xhr"]i®3^flmX8aHgh²,\3sxg†_q$bvn'² XT\3d±O^­±Q²8q´º b›ú¤8wghd±´]®g†]0ruXT_z²3bpdg†_q´n-]_ibpd3³ n
X†r2sc^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$²XZ]® gZnfa!XZY<[3\3]og†]bcXZd?]XmXTsxnŽw2ghd©± gTn ]i®3^<±3gh]5g
n-]_\©a!]\3_i^f]®g†]z®3XZsv±3n0]i®3^fXZ\3]i[3\3]zX†r"]®3^Ùa!XTY$[3\3]5gh]ibpXZdæy2¾3XZ_g³Z^Hd,^H_og†sVbpd8]_X8±8\a‹|
]ibpXZd´]iX$n-k\ $Å<]_^j^†n!w,n^H
^  W ¬ ~hž€ …VXZ_  À\ni~¹G¸ …y
^ (fÆ a"È2]iX.±O^Hd3XT]^f]®,^1n-k\ <œ]i_^H^X†¨r aw3bÇy ^mycwZ]®3^Ùa!XTY$[gTa!]^†±]_ibp^X†r"g†sps
ä ^Ã\©n
]i®3^$n-k\ <ÅO^†nX†8r 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^Hsvn1g†spXZd,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
^ f˜l–+ˆÈñwÎkm”I˜5¢ Xhr *y¿{"gTa‹®4sp^†gHr
*¯X†
r (fÆ a"ÈbxnÙghsxn-X¯svgh²^Hsp^­4
± `zbp]i®bpd±8^HÏ
Å 0b‰r§ghd±XTd3spq?b‰r )'/Æ *©È ® a“ 3îoîCby…Çy$¾3XZ_ g
d3XTdO|Ç^HY$[3]-qÙn\3²©n]_ibpd3³ ï ó4æ õ X†r a1w `'^^Hda!X8±8^:]i®3
^ mˆ‰Î:”£†1–+ˆk˜"Xh-r ï¿bp2
d (Ã!Æ aÈæ²Oq g
[g†bp_4Æ 3 ¸65 È5w `z®3^H_i7^ 3 ® /Æ 8 ¸ *©Èæbxn2g†d$^†±O³T^zbp2
d (Ã!Æ aÈ ghd± 5 bvn"ghd.bpd8]^H³T^H_"ng†]bvn·ruq8bpd3³
Á 9 5ûë 0$/Æ *©È ú;0<+Æ 8AÈoy e'®3^zY$^­ghd3bcd3³bxn2]i®gh]n]i_bcd3.³ ï ^Hd©±3n 5 ao®gh_5gZa!]i^H_on+ru_iXZY
:
8¤+Æ 8?bxn:]i®3^[g†_^Hd8]Xh"
r *©È/ghscXZd3³´]i®3^^†±O³T^´+Æ 8 ¸ *3Èoy1W"sp^­gh_scqmEw ï ® )+Æ 8A+È <œ`z®3^H_i:
^ <
bvn:]®3^ 5 |sc^Hd3³Z]i®?[3_^ qÅ´Xhr]®3^^­±O³Z^!|Çsxg†²^Hs+X†r 3Zyf½XZ]^Ù]®g†.] ïCbxnz^HdaŽX8±O^†±¯XZdçg†d
^†±8³Z^.+Æ 8 ¸ *3È2^Hlm^jd$btr bp]5n'^Hd±O[XZbcdO]zbvnzgh]d3X8±O=^ * y
e'®3t
^ f[i?>A@
²«–+ˆCBçX†r§g d,X8±O,
^ *‘`zbp]i® svgh²^HDs )+Æ *3È ® ðïÃÕw ð4ó æ6w ï ó’æFEHw bvnfg
[XZbcdO]i^H_1]iX ]i®3^$d3X8±8^Qsvgh²^Hsc^†B
± ïÃ?
y e'®3bxn1d3X8±8^¯g†os `/g­q,n1^HÅ8bxn-]onÃb‰Gr *ãbvng¯d3XZd8|_iXmXZ]
bcdO]i^H_dg†sd3X8±O^X†Hr (Ã!Æ aÈ5y e'®3^ a‹®g†_ogTa!]^Hš_ ð1bxn"]®3.^ ²«j1±:m>²VXhr ]®,^n-k\ $Å.spbc‰d d[XZbcdO]ibpd3³
ru_iXZY ]i®3^?d3X8±O^çsxg†²^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\ $Å´scbp‰d d,nzaHghd°²^a!XTY$[3\3]i^†±$bpX
d €ÙÆ b È/]bpY<^
 ä ^Hbu¸†»mI
w ‚?ahWz¸­¼3w k dd3ž~ „Ow¾gh_5~¹G¸ …Çy
ýíþwý
I
Jôà
ßLK6Ú
ONMPO
ZGPXUXZP
Ý
ß
Q?Ú7RQ/Û
TSKEQ
TâTU\ÚS¨ZGP
Ý
VtÚÒQ
W"_iX8a‹®3^jY$XZ_iŠ
^ …W"_X Z»OwzW"_X Z¼3wzW ¬ ~†1€ …±O^Hlm^HscXZ[^†±¤g?spbpd,^†gh_-|]ibpY$^´g†sp³TXZ_bc]®3Y ]®g†]
O± ^j]^H_iY$bpd3^­n'btrg´n-]_bcd3³´bxnn%]¹\©gh_^Žru_^H^my.¶d?]®,bxnfn^†aŽ]bpXTdX`'^<n®3XG` ®3XG`]®,bxnfghsc³ZXh|
_ibp]®,YÑaHg†d´² ^Ù^HÅ8]^Hd±8^†±“]X(q©d±¯g1sc^!ru]Y$X n]a!X†lm^H_ibpd3³ n^H]zX†r"]®3^§]oghd©±O^HYÑ_i^H[^†gh]5n
X†raye'®g†]“bvn ]i®3^tdm^Hq]5gZnd¤X†r { ®gTn^ç¶oy W"_iX8a‹®,^HY$XZ_i^1ɅnÙghsc³ZXZ_ibp]i®3Y?w"ghd©±}XZ\,_
Y$X8±8¥b qLaHg†]bcXZd´Xhrbp]jw3\n^!] `X$a!_i\a!bvghsV]XmXTsxnŽy e'®38^ q_on-]bxng“±8^†a!XZY<[ X nbc]bpXTd¯X†r"]®3^
n-]_bcd34
³ aw aHghscsp^†±¯]i®3;
^ Wmp—Ò”ymº²$ñYXՖ+™ !Æ ƒE}VÈf±O^†aŽXZY$[Xmn-bp]ibpXZdæw+g†d± ]i®3^´n^­a!XZd±çbxn]®3^
_i^H[^†gh]i^†±$\n^ÙXh*r ²«†1ˆžÈkm3f˜J‡>†1——†1ˆÊmZ@G˜!mˆÓf[–+†1ˆ?h#iÇmpl:–òm3fŽy ä ^ q_on-]±O^­na!_ibp²^f]®3R
^ ƒE}
±O^­a!XZY$[X nbp]ibpXTd$Xhr a§ ƒE}V¸­¼ …y
¾3XZ_^­gZao®¯[Xmn-bp]bcXZ?
d X†r aw sc^HJ] ø\["±O^Hd3XT]^]i®3^1sc^Hd3³Z]i®?Xhr]®,^spXZd,³Z^†n-][3_^ qůX†r
ašÍ %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]bpXTd“X†rV]i®3^:sc^!ru]Y<Xmn]X8aHa!\,__^jda!^zXhræ]®3bvn2n\,²n]i_bpd,³
bc•
d abtír ø\[7^ ÁOw"g†d_
± ][ ® Á8w2XZ]®,^H3_ `zbvn^m
y e'®3;
^ WÕm—Ò”Im>²$ñYXՖ+™a`bWcXdgÎkm%‡>†1—Ò”‰†f[–o˜ –+†1ˆ
¼
ó-ø>'Zó
egfheiegfhejekfjf
e
e
e
f
e
e
f
e
l
û¹ý†þ!…ó!…ýTönmporqtskutvjwjxtyjzio|{iooko|qjo|sio6u}o|vto~wto|xio|y
[
{j{
orvkutsjq
ors
q
w
€ [
{j{
ojorqjs}oqjq
s
s
w
v
o
u
q
s
s
o
q
o
{
q
o
{
+g†²3sp^ É v¨e'®3^Ù±O^qd3bp]ibpXTdQX†r/ø [ g†d±;] [ 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^ƒ^HY$[^Hs‰|3}bcl.±O^†a!XTY$[Xmn-bp]bcXZdVy
X†r\a bxn.]®3^°spbxn-]$XhrÙbcd±ObxaŽ^†n\ ‚ ¸ ‹ ¸ î#î#î ¸ +ƒ†w:±8^:qd3^†±¤bpd±8\a!]bclm^Hspq ²Oqœ 4‚ ® É g†d±
Y„ ‚ ® Y„<Y´ghÅÆ É ¸ ø\[†…AÈAruXT
_ Y„ ë b+yÕe'®3^§n\3²n-]_ibpd3³ašÍ Y„ÕîoîC Y„ õ ‚ú É …Çw É(눇è늉 w
õ
XT²3]og†bpd3^†±?bpd?]i®3bx*n `zgHq¯bvnÃajghspsc^†±Q]i®3^ ‡ ]œ
® ±²«†G‡‹B?Xhr/]®3›
^ ƒE} ±O^†a!XTY$[Xmn-bp]bcXZd?X†rÒay
¶].bxn `'^Hscs dOd3GX `zd ]i®gh].]®3bvn$±O^†aŽXZY$[Xmn-bp]ibpXZd4aHg†d ²^?a!XTY$[3\3]i^†±bpd©€ÙÆ b È]ibpY$^mw
^my¢³3yV\n-bpd3³°]®3^´n-k\ <Å?]_^j^$Xh8r á Ò¬ { {" É … ‚ y e+g†²3sp^ É n®,X `n1]i®3^.lZg†sp\3^­Œn ][zg†d±
ø\[2ruXZ_f]i®3^$n-]_ibpd3Ï
³ ³´I³k³ž´I³k³ž´k´I³1³³´‰³³´‰³µ,wghd±¾bp³Z\,_^.º¯n-®3GX `nÃ]i®3V
^ ƒ^jY$[^Hst%| }bpl
±O^­a!XZY$[X nbp]ibpXTdVy
e'®3^:ruXTspscX `zbcd3³f!] `'Xf²gZn-bxa0rÇgTa!]ongh_i^n-]ogh]i^†±“^HÅ8[3scbxa!bc]spqfXT_'bpY<[3spbva!b‰]spq§bpg
d  W"_X Z»3w
W"_iXmZ¼3w3W ¬ ~h1€ …Lghd©±QaŽXZd3d3^­a!]"]oghd©±O^HYô_^j[ ^­gh]on"]XÙ]®3^²,spX8>a d3n2Xhr]i®38^ ƒE}°±O^†a!XTY$[Xh|
n-bp]bcXZdVy
'®3^f_bc³Z®8]z®ghs‰r2X†r"g†dOq$]5ghd±8^HYÑ_^j[ ^­gh]zX8aHa!\,__^jda!^fY“\©n]"]XT\a‹®°g†]
Y X n]]`X“²,spX8a 3n"Xhr"]i®3^ƒE}ç±O^†a!XTY$[Xmn-bp]bcXZdVy
$
ÂŽAB¼;
e
>d
Änin\3Y<^¯]®,^?naŽ^Hdgh_ibpX¤n-®3XG`zdábcd¾+bp³T\3_^E»Ow*`z®3^H_^°]®3^?_ibp³T®O]$®©ghstrÙX†r
Ž‘|
]5ghd±O^jY)_^H[^†g†]^6^ ]iXZ\ao®3^†nY$XT_^]®©ghd]!`'X´²3scX8apd,n!ytƒ^H]Œ<4²^$]®3^q_5n]f²3spX8a>d
a!XTY$[3sc^H]^Hscq1bcda!sp\©±O^†±“bcdQ]i®3^f_bc³Z®8]z®ghs‰r2X†r"]®3^f]5ghd±O^jYÑ_^H[^†g†]Hwg†d±Qsc^H]N’?²^f]®3^
_i^HY´ghbcd3bpd,³fƑd3^†aŽ^†nnigh_bcspqd,XZdO|Ç^HY$[3]-qÈLnk\ <ÅfXhrL]®,^'_bc³Z®8/] ^"y`mbcda!^ ^6^Qbvn+g]oghd©±O^HY
_i^H[^†gh]jw+]®,^H_^.bxnfghd ^†gh_ispbp^j_X8aHa!\3_i_^Hd©a!^“X†r <“’ bpB
d a'wVdg†Y$^Hscq?gZnÙg¯n-k\ $Å?X†r]®3^
q_5n]®ghs‰r"Xhr
]®3^Ù]oghd©±O^HY7_^H[^†g†]Hyzµ'\,]:]i®3^Hd¯]i®3^Ùn^†aŽXZd;
± <bvn0d,XZ]Y´ghÅ8bpY´g†Is `zbp]®
+ ”V•†-‘.ˆou‘-ŒŽÇˆoŠ'˜†š†¦hŠ—„…‘•†-›?ŒŽˆo‘„‰ˆoƒH‡u’o”z‡u•h„—Ã›†-–-’!£˜Z’ސu„…‡‘„—’!
ƒ •V™V„…‡u•?›h„¢¡m-‘„—ƒhœ<ƒZˆo£
 — –˜ ‹ ™š š†u‡u•h§ŒŽˆ‹u„‰ˆoƒH‡'›†+ ›Tƒh-›°ˆo¦Z’oŒŽ~ •¦†š†‡z–ˆoŠ…Š…„…‡ˆoŒƒ œ+žœŸ~ ¢¡\£|¤¥§¦¢Ÿ~¡¨¥©£|ª•Aˆoƒ†› Ÿ
– u’H–•†-£:’Žu:
u-‘-uŒ!-'‡u•†zƒTˆ‹£- «Z„…ŒÙˆ‹ƒ†=› ¬¹-£˜Z-ŠO”c’!
ˆ:‘-Љˆo‡u››†-–-’!£˜Z’ސu„…‡‘„—’!ƒ Ÿ ”V•Zˆo‡2›†-–-’!£˜Z’ސ‘„—‡‘„…’Žƒf„…
–iˆoŠ…Š…-›n«Z„…Œ~­®¬¹-£˜Z-Š„…ƒ¯—±°2š†  ª š •8™V•†u„…‡u"+²–„—ƒj‡–-’Ž£:˜†š†‡Çˆ‹‡u„…’Žƒ1„…"›†-‡ˆo„…Š…-› Ÿ ”V•†’ސ‘›†‡Çˆo„…Š…
iˆo‘„…Š—¥z4 ³j‡‘-ƒ†›f‡‘’z‡u•† ¬Ž«1›†-–-’!£˜Z’ސu„…‡‘„—’!ƒz›†+ ›Tƒh-›Ùˆo¦Z’oŒŽ Ÿ
¸
α
β
α
γ
β
γ
S
LZ decomposition
+¾ bc³Z\3_i^Ù»kve'®3^Ù_bc³Z®8]nbx±8^1Xhrg ]5ghd±O^jY _i^H[^†gh]Y.\n]]XZ\©a‹®Egh]Y$Xmn-]z]`X“²,spX8a>d3n
X†r2]i®3^ƒ^HY$[^Hst|%}bpl<±O^†aŽXZY$[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!^X†rg†dOq°]oghd©±O^HY)_^j[ ^­gh]fY“\©n]]XZ\©a‹®çg†]
sc^†gZn-]z]`X²3spX8a>d,n!y
ÂŽAB¼a¶·
e
µ'q¤]®,^ç±O:^ qd3bc]bcXZd XhrÙ]i®3^ŠƒE}±O^†a!XTY$[Xmnbc]bcXZdVwghd8q n-\3²n-]_bcd3³B`z®3bxao®
Ž‘|
X8aHaŽ\3_onÙa!XZY$[,sp^H]i^Hspq°a!XTdO]5ghbpd,^†±ãbcd XTd3^$²3scX8apd?®©gZn1g†dX8aHa!\,__^jda!^<n]og†_]ibpd3³Egh]g†d
^†g†_scbp^H_f[Xmn-bp]bcXZd¤bpœ
d a'Ï
y ~:^jda!^.bp]ajghd¤d3XZ]Ù²^Q]i®3^$sc^!ru]Y$X n]fX8aHa!\,__^jda!^$X†r]®g†]
n-\3²n]i_bcd3³3y
µ
^ ‡:mˆk˜!mlQX†rg´]oghd©±O^HY)_^j[ ^­gh.] ^^ bxR
n –+ˆÓf[–+Îkm.²3scX8pa d ‡ btr/]®3^
ä ^$nig­q?]i®gh]Ù]®3g
_ibp³Z®8]Y<Xmn] a‹®g†_ogTa!]^H_fX†rz]®,^“sc^!ru]fa!XT[Oq?X†*r ^ bxnfa!XZd8]og†bpd3^­±¯bpd ‡ ›
y e'®3^.[3_bcXZ_f!] `'X
ƒ^HY<Y´gZn2^†n-]ogh²,spbxn-®´]®3^ruXZscspGX `zbpd,‰
³v
¶Çr,]®,^sc^!ru]Y<Xmn]LX8aHa!\3_i_^Hd©a!^2Xhr g']oghd©±O^HYN_^H[^†g†]6^^$®gTn bc]onVa!^jdO]i^H_
¸¶·
bcdnbv±O^fnXTY$^f²3spX8a>d ‡ w3]®3^Hd´^Hbc]®3^j_
Æ-W"XZd±8bp]bcXZd É È/^6^㮩gZnbc]on2sp^Žru]^jd±“bpd©nbx±8^z²3spX8a>d ‡ g†d±$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$Y<^†±Obcgh]i^Hspq]i®gh]"bcdXZ_o±8^H_"]X1bv±O^Hd8]b‰ruqÃ]i®3^zsp^Žru]Y$X n]X8aHa!\3_i_^HdaŽ^:X†r
^†gTa‹®]-q8[^zXhrV]5ghd±8^HY_i^H[^†gh]jw¹bc]"n\ ´a!^­n+]XfspXmžX 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\,_^f€‰v/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^fX†r2]i®3^f]`Xg†² X†lm^Ùa!XTd±Obp]ibpXTdn!y/e'®3bvn'[XZbpd8]zbxna!_\©a!bxg†sAbpd
]i®3^fspbpd,^†gh_]bpY<^:²XZ\,d±QruXZ¨_ qd©±Obpd3³<gsp^!ru]iY$Xmn-]'aŽXhlm^j_bpd,³n^j]Hy
ä ^:d3GX `±O^­na!_ibp²^:]i®3^§n^†a!XTd±$a!_i\a!bvghs3]iXmXZsVXhr { ®gZn-^1¶owZ]i®3^\n^X†r]®3^.²«†1ˆÈm3f˜
‡>†1——†1ˆXmZ@G˜!mˆÓf[–+†1ˆŠh#i‰ml¦hy
¾3XZ_´!] `'Xbcd±Obva!^†›
n g†d± ì Xhr.g¤n-]_bcd3
³ aÒw `'^ç±8:^ qd3^ç]®3B
^ ² †1ˆÈkm3f˜t‡>†1——†1ˆ
mZ@D˜mˆ1f[–+†1ˆ ru_XTY ghd± ì Æ‘bcd$]®3^zruXZ%_ `zg†_o±$±Obc_^†aŽ]bpXTdAÈ gZn"]®3^sp^Hd,³Z]®.Xhr]i®3^scXZd3³T^†n]
n-\3²n]i_bcd3³?bpB
d a]®g†›
] f˜j1l>˜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 X†r aN]®©ghÏ
] mˆ‰ÎfEgh
] 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$^zX†¨
r aw,ghd8q“scXZd3³T^†n]a!XTY$Y$XTd^HÅO]i^Hdn-bpXZd
a!XTY$[3\3]5gh]ibpXZdçÆxruXZ3_ `/gh_5±QXZ_²gTpa d`zg†_o± ÈaHg†d¯²^f^HÅ8^†a!\3]i^†±$bpd°a!XZd©n]og†dO]]bcY$^mÕy e'®3bxn
bvngTa‹®,bp^Hlm^†±fbpd.XZd3^§XhrV!] `(X `zgHq,n!wm^Hbc]®3^H_ ²Oq\n-bpd3³ÙgÙa!XZdn-]og†dO]]bpY<^'sp^­gZn]a!XTY$Y$XTd
g†da!^†n-]XZ_g†sp³TXZ_bc]®3YEw¹XT_zY$XZ_i^n-bpY$[,spq²8q“\n-bpd3³lTg†_bxg†dO]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_X8aŽ^†nn-bpd3³,y¿`m^H?
^  À\ni~¹G¸ …z[g†³Z^†n É ~T¼ g†d±
ºTÁZ ruXT_:Y$XT_^f±8^H]og†bpsxn'XTd?]®3^­n^f!] `'X<gh[3[3_iXmgTa‹®3^­n!y ä ^ÙgZnn-\3Y$^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$^jÅO]i^HdnbcXZÏ
d ]m\3^H_iq
aHg†d´² ^Ù^HÅ8^†a!\3]i^†±“bpd a!XZdn-]og†dO]]bcY$^my
^ ƒE} ±O^†aŽXZY$[Xmn-bp]ibpXZdæw2ghd©±}]®,^$\n^´X†rscXZd3³T^†n].a!XTY$Y$XTd?^HÅO]i^Hdn-bpXZd
ä bp]i®]®,Ê
]m\3^H_ibp^†nŽÓ
w `^ajghd$d3GX ` ²^H³Tbpd$]iX±O^Hlm^jspXZ[.]®,^ { ®gZn-^f¶"ghsp³TXZ_ibp]®,Y ]i®gh/] qd±3ngÃsp^Žru]|
Y$X n]/a!X†lm^H_bcd3³Ùn^H]j/y e'®3^fghsc³ZXT_bp]i®3YÑbvn'ghd´^HÅ8]^jdnbcXZd$X†r'W"_iX8a‹®3^jY$XZ_i1^ Ʌn"ghsc³ZXT_bp]i®3Y
ruXT_¯±8^H]^H_iY$bpd,bpd3³?b‰rg n]_ibpd3³¤bvn$3n ]m\gh_i^!ru_^j^m÷
y e'®,^g†sp³ZXT_bc]®3Y [3_X8a!^­nn^­n ²,spX8>a d3n
^ ƒE} ±O^†a!XTY$[Xmn-bp]bcXZd?bcd?XZ_o±8^H_Hwghd©±ãbc]XZ\3]i[3\3]5nÃg†d XT_o±O^j_^†±?spbvn]X†r
žÉ ¸ º ¸ î[î#îAXhr/]®3›
]5ghd±O^jY_^j[ ^­gh]"[ghbc_on"gZn"^†gZao®²3scX8pa dÙbxn2[3_X8aŽ^†nn-^†±Ay e'®,^g†sp³ZXT_bc]®3YôY´g†bpd8]og†bpdnV]®3^
bcdOlTgh_ibxg†dO]]®g†]Ùg­ru]^j_[3_X8aŽ^†nn-bpd3³´²3scX8pa d,n žÉ ¸ î#î#î ¸~‡ Xhr]®3›
^ ƒE} ±O^­a!XZY$[X nbp]ibpXTdVwAg†sps
X8aHaŽ\3__i^Hda!^†nzXhr/]og†d±O^HY&_^H[^†g†]oÒn `z®3X n^<a!^Hd8]^H_bxnzbpd©nbx±8^.nXZY<^1²3scX8pa d ‡ ª ru_iXZY É
]iX ‡ wg†d±Q]i®gh]§ng†]bxnruq$^Hbc]®3^H_W"XTd±Obc]bpXTd É XZ_fW"XZd±8bp]bcXZdEºO‰w `zbpscsV²^1aŽXhlm^j_^†±“²8q
]i®3^[g†bp_on"XZ\3]i[3\3]z²8q]®3^ ghsp³TXZ_ibp]®,Y?y2`mbpdaŽ^]®3^sp^Žru]Y$X n]"X8aHa!\3_i_^Hd©a!^:X†r ghd8q“]5ghdO|
±O^jYÑ_^H[^†g†]nigh]ibxwn q©^†n:^Hbc]®3^H_W"XTd±Obc]bpXTd É XZ_fº8w ]i®3^Ùghsc³ZXZ_ibp]i®3û
Y `zbpspsV®©g­lm^fXT\3][3\,]
~
k
k1
k2
h
q
B
k1
k2
h1
B+1
¾+bp³T\3_^.„kvÄ:sc³ZXZ_ibp]i®3Y É gOy
g1sc^!ru]Y$X n]/a!X†lm^H_bcd3³n-^H]gh]z]i^H_Y$bcdgh]ibpXTdVy2{2lm^H_iq“²3scX8apd
g†sp³ZXT_bc]®3Y´n"]®g†]g†_^Ù±O^†nia!_bc²^†±$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¿‚Žy
ë:À†ÁŽÂ,ï Ãtî Ä·ÅiÆTð ÇÈA~ï ©Êñ É í!|í îËÁ°¿ì À©Â©ñ ÌPÍÏÎYÂ,ïîoð ËÐÑÉÅ)ï|ÉÒÈ¿ÉZðmîŽíîÄ,ðmî1íoðmî|Ãpí6ÎÔÓaÕÂÑËÖ
зÃt|
î éÂËAÆ üpþ-øoDø ×E$žmú7ø vG
×8ýTÙ
ú ؝, úýZÚ
ù o0ó-
ý Í Z÷mý
Fm>ø G‰ö
ó ÜDÝAÞ ‚cß Øà
Û øoF
á2ýTùf1
û Zó-øz3ó Zø "—ýZö †øoþ-/ó =oýTùÃùýTö1>ø 'Zó-øŽöZ!þ …ýT
ö ‰ö %ó Zø â6ãG;ZäåG;+æ1÷ ‰ú>ø =o!ó …ýT¯
ö , ú·ýTù
û¹ý†!þ …!ó …ýTöZDþ Þ ‚ õ†öZn
÷ Ü Û øo%ó Ø ‚ ÷møŽöZýhó-ø%ó Zø "…øŽö †3ó #ý ,V%ó mõHó2>ø 'Zó-øŽöZ!þ …ýT‰ö á2ýTùf1
û Zó-øz3ó Zø "—ýZö †øoþ-/ó =oýTùÃùýTö1>ø 'Zó-øŽöZ!þ …ýT
ö ‰ö %ó Z=ø ç4åè6éäåG;+æ1÷ ‰ú>ø =o!ó …ýTö , úýZù
û¹ý†!þ …!ó …ýTöZDþ Þ ‚cß oõhöZ2
÷ Ü ß oG Û øoNó Ø ‹ ÷møŽöZý†óøz%ó Zø "…øŽö †%ó Dý ,æ%ó mõ­ó">ø 'TóøŽöZ!þ …ýT‰ö ÷ Ø ‚í {1Z%ó ZøŽö žý Zói1û Zó"%ó Zøzóõ†öZ÷møŽùNúøŽû¹øŽõHó/ûmDõ ú
ê ,cØ ‚·ë Ø
‹Nì Øõ†öZ2
ü ùf#õ ',bü Ü ß Ø ‹î Ü ß Ø ë o î qØ16à
øŽöZI÷ e'®3t
^ dm^Hq?]iX?\3d±O^H_5n]5ghd±Obcd3³çÄ:sc³ZXZ_ibp]i®3Y É g¯bxn1]i®3^“rÇgZaŽ]1]®©gh]]®,^H_^$bvng¯_\3d
X†r']5ghd±8^HY7_^H[^†g†]on!wL^†gZao®?Xhrsp^jd3³Z]i®?º ‰ wVn]5gh_]ibpd3³ gh]f[Xmnbc]bcXZd ïú ‰ ‹ ]i®gh] a!X†lm^H_
[Xmn-bp]ibpXZð
d ïRú É g†]$sp^­gZn]jwzbtrÙg†d± XTd3spq¤b‰r ‰ ‚Ґ ‰ ‰ y e'®g†]°a!sxg†bpYÔbvn“^†gZn-bpscq
^†n-]og†²3spbvn®3^†±´g†d±¯sp^!ru]z]iX“]i®3^1_i^†gZ±8^H_Hyz¶‘r ‰ ‚^Á]®3‹ ^jd¯]®©gh]_\3dEghsxn-X$^HÅ8]^Hd©±3n'bpd8]X
²3scX8pa d ‡  É wOg†d±1®3^Hd©a!^za!XTdO]5ghbcdn+]og†d±O^HY _^H[^†g†]on+X†rLsp^Hd3³T]® º ‰ `z®3bxao®1®gHlm^]®3^Hbc_
a!^jdO]i^H_:bcd ‡ g†d±ã]i®3^Hbc__bc³Z®8]Ã^jd±¯bpd ‡  É y.¶d?]®g†]1ajgZn^ -w `
^ `zg†dO]f]X´XT\3][3\,]
g$_^j[ ^­gh]f[ghbc_]®©gh]Ùa!X†lm^H_on]®3X n^.]oghd©±O^HYà_i^H[^†gh]5n!R
y e'®3^[g†bp_.+Æ ï8ú ‰ ‹ ¸ º ‰ ȧ±OXm^­n
]i®gh]jwO²3\3]btr ‰ ‹ ‰ w8]®3^[g†bp_/Æ ï¨ú ‰  žÉ ¸ º ‰ È
ghsvnX.a!X†lm^H_5n2ghscs ]i®3^f±O^­nbp_i^†±]oghd©±O^HY
_i^H[^†gh]5n!w8ghd±.bpd.]®g†]zaHgTn*^ `'^ `zbpscs\n^Ù+Æ ïú ‰  É ¸ º ‰ È2]iX1n-bpY$[,spbtruqf]i®3^:^jÅO[Xmn-bp]ibpXZd
X†r"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:À†ÁŽÂ,ïÃtîÄ·ÅjÆmìcÇÈAï~ÂñÉ í!í|îËÁ´ì¿À†ÂñÌPÍÏÎYÂ,ïîoðËÐɎÅ&ï~ÉñÈ¿ÉZðmîŽíîÄ3ðmîfíoðmî|Ãpí6ÎÔÓaÕÂÑËÖ
зÃt|
î éÂËóò üpþ-øoDø ×E$žmú7ø wG
×8ýTÙ
ú ؝, úýZÚ
ù o0ó-
ý Í ë Í ë ožZ÷mý
Fm>ø G‰ö
ó ÜDÝAÞ ë Øà
Û øoF
á2ýTùf1
û Zó-øz3ó Zø "—ýZö †øoþ-/ó =oýTùÃùýTö1>ø 'Zó-øŽöZ!þ …ýT
ö ‰ö %ó Zø â6ãG;ZäåG;+æ1÷ ‰ú>ø =o!ó …ýT¯
ö , ú·ýTù
‚
û¹ý†!þ …!ó …ýTöZDþ Þ.õ†öZ¯
÷ Ü Û øo%ó Ø ÷møŽöZýhó-ø%ó Zø "…øŽö †3ó #ý ,V%ó mõHó2>ø 'Zó-øŽöZ!þ …ýT‰ö á2ýTùf1
û Zó-øz3ó Zø "—ýZö †øoþ-/ó =oýTùÃùýTö1>ø 'Zó-øŽöZ!þ …ýT
ö ‰ö %ó Z=ø ç4åè6éäåG;+æ1÷ ‰ú>ø =o!ó …ýTö , úýZù
û¹ý†!þ …!ó …ýTöZDþ Þ ß oõ†öZn
÷ Ü ß oG Û øoNó Ø ‹ ÷møŽöZý†óøz%ó Z*ø "…øŽö †%ó #ý ,L%ó mõ­ó">ø 'TóøŽöZ!þ …ýT‰ö Øõ†öZ
÷ F¹ý†%ó :Ø ‚ õ†öZn
÷ Ø õ†úø TúøŽõ­ó-øŽú+%ó mõ†:
ö {1mõ†öZ÷
ê ,cØ ‚·ë Ø
ùÃ#õ ',bü ‹NÞ ì ß Ø ‹ î Þ ß Ø ë o: ë Ø:ôP‹ Þ ‚ m3ó ZøŽöžý Zói1û Zó%ó Zøzóiõ†öZ÷møŽùNú·øŽûmøŽõHóûmDõ ú
ü ùf#õ ',bü Þ ß Ø ‹ î Þ ß Ø ë o î qõØ16à
øŽöZI÷ e'®3^f^HÅ8[3sxg†dgh]ibpXTd$Xhr
Ä:sp³TXZ_ibp]®,Y É ²´bxnzn-bpY$bcsxgh_ ]X]®©gh]zXhr Äsp³ZXT_bc]®3Y É g8¨
y e'®3^
[XZbcdO]zbvn']X.XZ\3]i[3\3]§g ]5ghd±8^HYÑ_^j[ ^­gh]z[g†bp_]®g†]a!X†lm^H_onzg†spsA]i®3^1sc^Hd3³T]® ‰ ]oghd©±O^HY
_i^H[^†gh]5cn `z®,Xmn^<a!^Hd8]^j_:bvn bcd ‡ ghdX
± `z®3Xmn-^“sc^!ru]^Hd©±¯bxnbpdçg$²3scX8pa d°]X´]®3^sc^!ru]X†r
‡ yfe:^j]oghbcsxng†_^.g†³mghbcd 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_^HÅ3g†Y$[3sc^my
ÂÂ
ö
]ibpY$^§ghd±°n[gTa!^my
Ä:sc³ZXT_bp]i®3Y É XT\3][3\,]ong sc^!ru]Y$X n]/a!X†lm^H_bcd3³n-^H]zXhr"[©ghbp_5n'bpdX€ÙÆbVÈ
ä ^“®©g­lm^<ghsc_^†gT±Oq?^†n-]ogh²,spbxn-®3^†±?]®g†]ÙÄ:sp³TXZ_bc]®3Y É XZ\3]i[3\3]5n1g$sp^!ru]iY$Xmn-]
!a X†lm^H_ibpd3³§n^j]X†rL]oghd©±O^HYô_^j[ ^­gh]2[g†bp_5n!y"Ä:sc³ZXZ_ibp]i®3Y É g _i\3dn2bpd›€ÙÆ b È]bcY$^'²^†aHg†\n^
^†gTa‹® ²3spX8a>d ‡ bxn1[,_X8a!^†nin^†±bcd€ÙÆ ç ‡ ç Èf]bcY$^mwghd±¤]®3^<²3spX8a>d3ng†_^°±ObvnoŸXZbcdO]jyç¶·d
Ä:sc³ZXT_bp]i®3Y É ²Vwm^†gTa‹®²,spX8>a d ‡ bvn+[3_X8aŽ^†nn-^†±1bpd]ibpY$^"[3_iXZ[XZ_i]bpXTdghs]iX ç ‡ ç  ç ‡  É ç y
~:^jda!^fX†lm^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]
g†d± svgZn-]!È<a!XZd8]_ibp²3\,]^†n$!] `zbxa!^°]X¤]®,^ ]iXZ]og†sÙa!XZ\3d8]Hy µ'\3]°n-bpda!^?]i®3^?²3scX8pa d,n´gh_^
±Obvon ŸXTbpd8]HwO]i®3^f]XT]oghs]bcY$^zruXZ_Ä:sc³ZXZ_ibp]i®3Y É ²´bvnzghsxn-V
X €ÙÆ b Èoy
µ
Ž‘|
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_bcd3³Š³´I³³´I³k³ž´´y³³1³´I³1³ž´‰³kµ,y›e'®3^
]5ghd±O^jY _^j[ ^­gh]onru_XZY ]®3^°sp^!ru]iY$Xmn-].a!X†lm^H_bcd3³ n^H]´g†_^çn-®3XG`zdgZn$]®3bvapdm^j_spbpd,^†n
²^HscX` ]®3^ n]_ibpd3³,yte'®3^<a!XZ_i_^†n-[ XTd±Obcd3³?]og†d±O^HY“|Ç_^j[ ^­gh]f[ghbc_onÆ ¸ ø·È§g†_^R`z_bp]i]^Hd
d3^jÅO]]X1]i®3^HY?yÆ žÉ ¸ 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_X8aŽ^†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 [g†bp_onfÆ ¸ ø ÷[ È"XZ\,][3\3]z²8q
Ä:sc³ZXT_bp]i®3Y É wy`z®3bva‹®´®gHlm^f[Xmn-bp]bcXZd°^HdO]i_qt iy҃^H]8ü ±O^Hd3XT]^1]i®3^Ùa!XZY<[3sp^H]i^fn^j]:X†r
]i®3^fXZ\3]i[3\3]z[g†bp_onŽw3by¢^mypwm]®,^Ã\,d3bpXTdQX†r2]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^°gZaHaŽ\3Y“\,sxgh]i^†±?nX?]i®gh]1ruXT_^†gZao®[Xmn-bp]ibpXZdœ w2]i®3^´[ghbc_on
Æ [ ¸ ø ÷ Èf[ bcd§üÙÆ Èfg†_^°nXT_]^­± ²8q¤±O^­a!_^†gTnbcd3³¯XT_o±O^H_X†r]i®3^´sp^Hd,³Z]®¤^Hd8]_iqmyÏe'®gh]bvn!w
ø ÷ ^œø ÷ ‚ y
õ
ÂŽAB¼Pö
ä
'®3bvnÃbvnÃgTa‹®,bp^Hlm^†±¯²8q gh]]5gZao®3bpd,³¯g†d¤bpd3bc]bxg†spscqQ^jY$[3]-q¯scbxn]üÙÆ -È:]iX¯^†gTa‹®
[Xmn-bp]ibpXZd 3XhEr aye'®,^HdÙgZn+^†gTa‹®f[g†bp_"Æ ¸ øÈbxnAXZ\,][3\3] ²OqfÄsp³ZXT_bc]®3Y É wZ]i®3^"[ghbc_'Æ ¸ øÈ
bvn[3_i^!|[^Hd©±O^†±“]iX1]®,^spbvn]ÒüÙÆ ÈoyÕe X.n-^H^]®©gh]']i®3bxn"³Zbclm^†n]i®3^±8^†nbc_^†±“_i^†n\,sp]HwZruX8a!\©n
XTd´gcqÅ8^†±“[©ghbp_Æ ¸ øÈ+XT\3][,\3] `z®3bpsc^z²3spX8>a d ‡ bxn"[3_X8aŽ^†nn-^†±Ay ä ^a!svghbcYô]®g†]zgh]]®3^
]ibpY$^Æ ¸ øÈ2bvn0XT\3][3\,]HwLghspsV]i®3^1[©ghbp_5nÃÆ ¸ ø+ªtÈ `zbp]i
® ø5ª·9’øw3®gHlm^Ùghsc_^†gT±Oq´²^H^Hd°gZ±3±8^†±
]iX“scbxn*] üÙÆ È5y"¾+bp_5n]a!XTdnbv±O^H_ghscsV[ghbc_onfÆ ¸ ø5ª…È `zbp]i®¯aŽ^HdO]i^H_'bcd´²3spX8>a d3n žÉ ¸ î#î#î ¸~‡ ú É y
e'®3^­n^[g†bp_o*
n `'^H_i^XZ\3]i[3\3]fbpd°^†gh_ispbp^j_:bc]^H_5gh]bcXZdnXhrÄsp³ZXT_bc]®3Y É wg†d±¯®3^HdaŽ^.gh_^
g†sp_^­gZ±Oq?bcŠ
d ü1Æ ÈoR
y ‚¯XT_^HX†lm^H_jEw ø5ªH9÷ø'²^†ajgh\n-›
^ ø+ª"Ƒ_i^†n[^†a!]ibplm^Hsct
q øÈ:bvn]®3^.±Obvn]5ghda!^
²^H!] `'^j^Ht
d "ghd±´]®3^Ùa!^jdO]i^H_'X†r2]i®3^f]oghd©±O^HY7_^H[^†g†]fÆ ¸ ø ª ÈÆ‘_i^†n[^†a!]ibplm^Hscq´Æ ¸ ø·ÈiÈoy
`m^†aŽXZd±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\,]
[g†bp_5ín `zbc]®?]®,^ng†Y$.^ lTghsc\3^m*y e'®3^Ù_^†gTnXZd?bvn0]i®gh] Ä:sp³TXZ_bc]®3Y É g“XT\3][3\,]on[ghbc_on
`z®3X n
^ /rÇg†spsvn bcd?²3spX8>a d ‡ Ew `z®3bcsp^.Ä:sc³ZXT_bp]i®3Y É ²XZ\,][3\3]5n[ghbc_oån `z®,Xmn
^ 'rÇghspsvn:bpd
²3scX8pa d,n'²^!ruXZ_i^ ‡ y
Ž‘|
e
ɺ
¾+bcdghscspqmwzÄsp³ZXT_bc]®3Y É g ÆÇghd± É ²AÈ lZg†_q ‰ bcd bpda!_i^†gZn-bpd3³çXZ_5±O^H_jwghd©± ®3^jda!^
b‰r.Æ ¸ ø ª È.ghd©±CÆ ¸ øÈg†_^?XZ\,][3\3]´bcd¿]®©gh]´XZ_5±O^H_›`z®3^jdÄ:sp³TXZ_bc]®3Y É g ÆuXZ_ É ²LÈbxn
[3_iX8a!^†ninbpd,³“²3scX8apd ‡ wO]®,^Hd
ø ª 9ø-y
¾3XZ_]®3^]bcY$^2²XZ\3d©±AwZd3XT]^']i®gh] ² ^­aHgh\n-^']i®3^']5ghd±O^jYC_i^H[^†gh][g†bp_ongh_i^'XT\3][3\,]
bc•
d €ÙÆ bVÈf]bcY$^g†d±^†gZao® ^jdO]i_q?bpd g¯spbvn]fbxn[3_i^!|Ç[ ^jd±O^†± ]iX¯]i®3^$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/ã‘ZGP
Ý
Q/à
Ú
ÚåPXUûú?T\ZPRQK
T:RiK6T\Û
Ú
S/Ú7ú?ÚßåQûQEÞ,úŠÚK
"{ gZao®1]5ghd±8^HYN_^H[^†g†]+[g†bp_2bcdf]®3^sp^!ru]iY$Xmn-]a!X†lm^H_bcd3³n^H]/üruXZ\,d±1bpd { ®©gZn^¶Vn-[^†a‹|
b«q^†ng [©gh_]ibxa!\,sxgh_]og†d±O^HY&_^H[^†g†]X8aHa!\,__^jda!^mwLghd±?®3^Hd©a!^g“[©gh_]ibxa!\,sxgh_§]oghd©±O^HY
_i^H[^†gh]]q8[^myzƽXZ]^J`'^fg†_^d3XT]z]og†sod8bpd3³ gh²XZ\3]z]i®3^f_^H[^†g†]ona!X†lm^H_^†±²8q$g1_i^H[^†gh]
[g†bp_jw¹²,\3]"XZd3scq1]®,^nbpd,³Zsp^_^j[ ^­gh]n[^†a!«b q^†±1²8q1]i®3^z[ghbc_"bp]on-^Hstriy‰8È ƒ^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^†g“X†r { ®gZn-^
¶i¶‹žw `'^Y$XZ]ibplTgh]i^zbp]"²Oq.nigHqObcd3³f]®g†¨] `'^ `XZ\3sv±“bx±8^†ghscspqfspsb dm^z]X1Y gh3_ dÙ]®3^^Hd±8[ XTbpd8]on
X†r']i®3^_^j[ ^­gh]onbc_
d üô±O\,_bpd,³ { ®gTn^.¶i¶‹.y ~:GX `'^jlm^H_Hw3²^†aHg†\n^.Xhr]ibpY$^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˜#üª3X†r ü/y e'®3^ru\3spsL^HÅO[,sxghd©gh]bcXZd“ruXT_z]®3^§\n^X†Nr 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$^mw
{ ®gZn-^¤¶¶[3_iX8a!^†nn-^†nQ^jlm^H_q¤d3XTdO|_iXmXZ]?d3X8±8^XhL
±>†˜À˜†1—(ñwiD”ç]_5g­lm^j_ong†s*
y eVX´n]5gh_]jwA^†gTa‹®°sp^†gHr bvn0³Tbplm^Hd°]®3^Ùspbxn-å] üÙÆ ÈzaŽXZY$[3\,]^†±$bpd
± üª,bxn']®,^Ã^jY$[3]-q.n^H]jy"e:\3_ibpd3³]i®3^f]_ogHlm^H_5ng†swm^†gZao®´bpd8]^H_idghsLd3X8±O^ *
{ ®gTn^Ù¶owghd;
`zbcsps² ^³Tbplm^HdEnXTY$^1^Hd©±¹|[XT_]bcXZdçXhr0g“spbvn]³Tbplm^Hd°]X$XTd3^“X†rbp]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\aŽ]bpXTd?g†d4
± ƒ^HY$Y´g
»8w üÙ+Æ *3È'bvn0³T\gh_5ghd8]^H^†±¯]iX$²^.nXT_]^­±¯²Oq°±O^†aŽ_^†gTnbpd,³“XT_o±O^H_§Xhrbp]5n0sc^Hd3³Z]i®¯^Hd8]_ibp^†nŽy
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 øŽûmøŽõ­ó
ó ZøûmDõ úõHó"%ó Z*ø ZøŽõH÷“#ý ,V%ó Zø "$—þ%ó þfbü ÿ
Û øoó§bü m +V÷møŽöZýhó-ø%
î
ø ÿÃýTú2ýTö13ó Zø öhó-øŽú …ýTú#ý ,V%ó Zøzøo1÷ †øÙü
ê ,c í ü k[AAõ†öZ÷møŽùNúøŽû¹øŽõHó§bü m + øŽöZ÷mþ/õHó"öZýZ÷mG
î
A/ZøŽR
ö F¹>ø G‰ö
ZóýTúøz%ó Zø
ö mùFmøŽú  ß ü ýTö1øo1÷ †ø ü î ÿVóýÙú>ø =oýTú÷3ó mõHóbü m î +VøŽöZ÷mDþ  ß ü k
=>mõ†ú-#õ =oóøŽú
þ , úýZ
ù .#õ "…ýTö Ãøo1÷ †ø ü î ÿ
ý H†øÙbü m î +,uúýTÏ
ù þfbü ÿ|×8ýZú2%ó Zøz>ø 'mûmý†!þ …!ó …ýT‰ö 3û "‰#õ =oø§ûmDõ úbü m î +E‰öhó-8ý "$…þ-Dó þ ª ý øŽù#
É»
î
ÿ>
øŽöZ÷
ø …ó%ZøŽúNþfübÿ…þ"ø>'mõZþ-ó-øo÷IOýTúÙ ük>
öhó!$">
`mbcda!^]®,^]_ogHlm^H_5ng†s2bxn:²XT]]XTY“|Ç\3[Vwg$d3X8±O^28ãbvn [,_X8a!^†nin^†±?XZd,spq?gHru]^H_ ghsps"X†r
bc]on"a‹®,bpsx±8_^Hd.®gHlm^:²^H^jd$[3_X8aŽ^†nn-^†±Ay ä ®3^H´
d 8“bxn"[3_X8a!^­nn^­±“bp]/`'XT\3sx±.² ^ gh[3[^†g†spbpd,³
]iXQY<^H_³T^!|-n-XZ_i]:]i®3^$aŽ\3__i^HdO]spbvn]5n:Xhr/]®3^.ao®3bpsv±O_^jd¯Xh"r 8VwVgZaHaŽXZ_o±8bpd3³´]X´]i®3^sp^Hd,³Z]®
^Hd8]_ibp^†nXhrV]i®3^z[g†bp_onŽw8ghd±“³Tbplm^z]i®gh]"Y$^H_i³Z^†±fspbvn]2]iŒX 8Vy"¶‘rL]®g†/] `'^H_i^±OXZd3^zruXZ_"^†gTa‹®
d3X8±8n
^ 8 wL]®3^Hd?]i®3^.ghsc³ZXT_bp]i®3Y `XZ\3sv±¯_^†aŽXZ_o±´]®3^^jd±O[XZbcdO]X†r^†gZao®?_^H[^†g†]bp_
d ü y
~:GX `^Hlm^H_Hw3X†lm^H_z]i®3^^Hd8]bc_^f]_i^H^mw]®g†]fgh[3[,_XmgTa‹X
® `XZ\3sv±¯]oGg dm
^ Æ b ‹ Èz]bcY$^:ruXT_]®3^
Y$^j_³Z^­n!w3^Hlm^Hd´]i®3XZ\3³T® ]i®3^n-ob rH^fX†rzg†sps]®3^Ùspbvn]onzbxn €ÙÆ bVÈoyfµ'\3]jwAgTÒn `zbpscsV² ^[,_X†lm^†±
bcdQ]i®3^fd3^HÅ8]n^†aŽ]bpXTdVwOY<^H_³Tbpd3³ aHghd´²^gHlmXZbv±O^†±$gTn/ruXTspscX `nŽy
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¯g†³Z_^j^†ín `zbc]®°]®3^fsxg†²^HsVXhr"^jÅ3gTa!]scq
XTd3^"Xhrbc]onVao®3bpsv±O_^HdæEy e'®3^HdÙ±O\3_ibpd3³z]i®3^"²XZ]]iXZY“|Ç\3[Ù]_ogHlm^H_5ng†sw†g­ru]i^H_ghscsm]®3^
a‹®3bcsx±O_i^Hd
X†rzg†d bcdO]i^H_d©ghsd3X8±O2
^ 8ã®gHlm^Ù² ^j^Hd?[3_X8aŽ^†nn-^†±Awn^H]§]®3^scbxn.] ü1/Æ 8AÈowA³Tbplm^Hd°],
X 8VwA]iX
]i®3^a!\,__^jdO]zscbxn8] üÙ+Æ *3Èo‰w `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-bpdaŽ^:]i®3^nsb rH^:X†rV]i®3^:XT_bc³Zbpd©ghsspbvn]on2bv@n €ÙÆ b È5w3g†d±
d3X<spbxn-]ongh_i^1Y$^H_i³Z^†±LÒy ‚¯XT_^HX†lm^H_jw3btr"d,X8±On
^ 8¯bxnzsxg†² ^jsp^†t
± `zbp]®°sp^†gHr w]®3^jd?]®3^ gZa!]
X†ra!_i^†gh]ibpd3³´g†d
± ³ZbclObcd3³ °g$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
ƒ^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±$X†r { ®gTn^Ù¶¶oy'W"sp^­gh_scqm
w üª3bvn']®3^Ùn-^H]'X†r2]5ghd±O^jYÑ_^H[^†g†]z]-qO[^†n"]®g†]
g†_^1_i^†a!XT_o±O^†±´bpd (fÆ a"Èowg†da
± üªLbxng$n\,²n^H]§Xhr üôg†d±¯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^†aŽ]bpXTdVy
Jôà
ßLK6Ú_OOONM
T:R©Q/à
Ú
KZGP
Ý!(QÕT
S/ÚåYšTS¨U
Q@à
Ú
Ú8PXUûúŠT\ZGP\QK
RkWXÜGÜóU\TVYšß#"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]5nX†r]®3^]og†d±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
X†r ghscs3]®3^]og†d±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$bxaXZ[^H_og†]bcXZd´bxn']i®gh]Xhr
g¡f[iZ>A@Gñ²«–+ˆÒB$j²žB†wy`z®,bxao®$bxn
g.a!XZY<Y$XZd.XZ[^H_5gh]bcXZd°bpd´²3\3bcsx±Obcd3³g†d±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†_ogZaŽ]^H_jy+
Ä f[iZ>A@Gñ
²«–+ˆÒB%$j²§B ƑXT
_ $j²§BçruXZ_.n-®3XZ_i]!È:ru_iXZY ]®3^<^Hd± X†8r ^6^§q_5n]1Y<Xhlm^­n:]Xçg´spX8aHg†]bpXTd
ɀ
w
aw
u
a
u’
β
β
v
¾+bc³Z\3_i^1v/e'®3^±8^:qd3bc]bpXTd$Xhrg“n-\k$Å<spbpd£d\`/ghsodLy
cb d-(ÃÆ!aÈ/sxgh²^Hsc^†±‘`zbp]i®?]®3^<n]i_bcd3³¯’yRe'®3^H_^.g†_^.]!`'X´aHgTn^†n]iX¯aŽXZdn-bx±O^H_jy¶d?]®3^
q_5n] aHgZn-^mwV]®3^.^Hd±¹|ÇspX8ajgh]bcXZdbcd_(fÆa"ÈXhrí^^bxnfgh]ÙgQd,X8±O^,*y$¶d ]i®3bxnfaHgTn^mw]®3^
n-k\ $Åm|Çspbpd£d`zghssd\q_5n]'Y<Xhlm^­ng†spXTd3³]®3^Ùn-\k$Å.spbcd‰d°Æ+* ¸ *Óª…È ]X]i®3^fd3X8±O^*Óª8sxg†²^Hsp^†±
’y¶d]i®3^°n^†aŽXZd±¤aHgTn^mw2]i®3^´^Hd±O[XZbcdO]X†8
r ^6^ábvnn]_ibxa!]ispqçbpd]i®3^´bpd8]^H_ibpXT_ÃX†rfg†d
^†±8³Z^Ù+Æ 8 ¸ *3ÈV^Hd8]^H_ibpd3³ *y+¶d.]®g†]zaHgTn^mw8±O^jd3XZ]iŒ^ ü/Æ 8æÈæ²OR
q ðïÃw8g†d±“sp^jÙ] <ç±O^Hd3XT]^]®3^
Æud3XZdO|Ç^HY$[,]qÈ"[3_i:^ qÅ´Xhr]®,^1sxg†²^Hs+X†r^†±O³Z^´/Æ 8 ¸ *©Èn-\ao®¯]®©gh7] ’ ® ïD<áÆÇn^H^ ¾+bp³T\3_^
mÈoy"¶d]®3bvn2aHgTn^mwm]®,^ `zghss d.n]5gh_]ibpd3³Ùg†]]i®3^z^Hd±Xh-r ^^Vq©_on]"Y$X†lm^†nV]Xfd3X8±87^ 8Vwmg†d±
]i®3^Hd“ruXTspspGX `n']i®3^fn\ $Å.spbc‰d d“X†r2d,X8±O^ 8 ]iX.g1d3X8±O^Ù±O^Hd,XZ]^­± 8‰ªcy"µ'q$aŽXZdn-]_\©a!]bcXZdVw
]i®3^´n\ $Åscbp‰d d¤/Æ 8 ¸ 8 ª ÈfbvnÃsxg†²^Hsp^†?
± ð w"g†d±]®3^$d,X8±OP
^ 8 ª bvnÃsxg†²^Hsp^†?
± ïÃyç¾3_XTY 8 ª w
]i®3^n-k\ $Åm|Çspbp£d d›`zg†os d“ruXTspspGX `nz]®3^Ù[gh]i®¯svgh²^Hsp^­± < ÀÆ `z®3bxao®°ghos `/gHq3nz^HÅ8bxn]5n‹È"\3d8]bcsVbp]
_i^†gZao®3^†n']i®3^f^Hd±¹|ÇspX8aHg†]bcXZd´Xhrn-]_ibpd3:
³ ’ ® ï"<y
\ $Åm|Çspbp£d d(`zg†os d_i^†gZao®3^†n2]®,^:^Hd©± X†r n]_ibpd3³ ’wmbpd.^Hbp]i®3^H_2X†r]®3^!] `'X
ä ®3^Hd.]®,^n-k
aHgTn^†nŽw ]i®3^g†sp³TXZ_bc]®3Y&]^†n-]onzbtr"]i®3^H_i^1bxnnXTY$^1[©gh]®´ru_XTYà]®,^1^Hd±8[ XTbpd8]:X†Fr ’?]®g†]
n-]ogh_i]oEn `zbp]i®Ã]i®3^a‹®©gh_ogTa!]^j6_ ð1Ƒ]i®3^n]og†_]ibpd3³ao®gh_5gZa!]i^H_VXhyr ^^2Èoy ¶Çr,]®©gh]a!XTdO]ibpd8\gh]ibpXZd
^HÅ8bxn-]onŽw3]®3^Ùghsc³ZXT_bp]i®3Y7Y$X†lm^†n]iX“]i®3^1^jd±O[XZbcdO]Xhrn-]_ibpd3n
³ ’Kð wg†d±Q]i®3^n-k\ $Åm|Çspbp£d d
`/ghos d?bvnfaHghscsp^†Š
± f[ik‡>‡:m%f>f+n[iÓ²Ð"XZ]i®3^H%_ `zbxn^.]®,›
^ `zg†os d?]^j_Y$bcdgh]i^†ngh]Ù]®3^.^Hd±8[ XTbpd8]1X†r
’g†d±}bvn“aHg†spsc^†
± iˆÓf[ik‡>‡:m%f>f+n[iÓ²…yÄ&n\aHaŽ^†nnru\3s `zg†os d ru_iXZY ðC’ a!XZ_i_^†n-[XZd±3n.]X g
_ibp³Z®8]|Ç_XT]og†]bpXTdXhír ðC’wa!_i^†gh]ibpd3³´]®,^“]5ghd±O^jY)_^H[^†g†] ’KðR
y ~:^Hda!^.g$_i\3dXhr/_bc³Z®8]|
_iXZ]og†]bcXZdnbpÏ
d a4±O:^ qd,^†nX
g ‡p¢£j1–+ˆ?Xhr/n\©aHa!^†nin·ru\36s `zg†os d,n!wA^†gTa‹
® `zg†os d°n]5gh_]ibpd3
³ `z®3^H_^
]i®3^f[3_^Hl8bpXT\n'XZd,^Ã^jd±O^†±Ay
¾3XZ_.:^  a!bp^Hd©a!qmw+XTd3^¯bcY$[3sc^HY“^jdm]ogh]ibpXTd±O^j]oghbcszbxnd3^H^†±8^†±bpd¤]®3^°n-^†a!XZd©±¿aHgTn^my
g `zg†os d´ruXZspscGX `n:]®3^.[g†]®çsxgh²^Hsc^†;
± <}ru_iXZY&d3X8±O,
^ 8‰ªcw bc]faHg†d ]i_ogHlm^H_on-^1^†gTa‹®
ä ®3^jd›
Ʉ
^†±8³Z^,3XZdç]®3^.[g†]®bcda!XTdn]5ghd8]1]ibpY$^mwd3X°Y´gh]i]^H_®3XG`ôspXTd3³´]®3^.sxg†² ^jsX†r31bvn!y
e'®3bvn'bxngZaHa!XTY$[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^fg†sp³ZXT_bc]®3Y´n v"nbcda!^fg1[g†]®´sxg†²^Hsp^†n
± < Y.\n]^HÅ8]^Hd±ru_XZY 8 ª w3g†dOq<^†±O³Z^
`z®3X n^fsxg†²^HsAbvn'n®,XZ_]i^H_z]®©ghdçÆ‘]i®3^_^jY´ghbcd±O^H_"XhrŽ
È < aHghd´²^f!n dObc[3[^†±$bpd$XTd3^fn]i^H[Vw
g†d±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\ $Å´X†r <'ye:^j]^H_iY$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$]®,^“\3d,+b ]m\3^1^†±8³ZR
^ `z®3Xmn-^“svgh²^Hs"n-]ogh_i]on `zbp]i®?]®3^.aŽXZ__i^†a!]
d3^jÅO]ao®gh_5gZa!]i^H_'X†r <y2¾3XZ_Y$XZ_i^f±O^H]5ghbcsxnXTd¯]i®3^Ùn d8bp[ Ñ­a!XZ\3d8]z]_ibx>a d$n-^H
^  À\ni~¹G¸ …y
½:GX `¿]i®gh]]®3^n-k\ <Ź|Çspbc‰d d`zg†os d1®©gZn²^H^jd$±O^ qd3^†±A1w `^aHg†d“Y<XZ_^'ru\,spspqÙ^HÅ8[3sxg†bpd
]i®3^f\3]bcspbp]-qX†Dr üªcy ä ^Ù±O:^ qd,^1g.n^j7] ü E Xhr ]oghd©±O^HY7_^H[^†g†]z]-qO[^†n']iX“²
^ f[i?>ˇ#–òmpˆk˜
b‰r']i®3^^Hd±8[ XTbpd8]bpd (fÆ a"ÈXhr/^Hlm^H_q´]5ghd±O^jYà_^j[ ^­gh]bcd?]®3^lmX8aHg†²3\3svgh_q?X†*r aaHghd
²^´_^†gTa‹®,^†±²Oq¤n-XZY$^ a‹®g†bpd¤XhrÃn\aHaŽ^†nnru\3szn-k\ $Åm|Çspbp£d dŠ`zg†os d,nn]og†_]ibpd3³?ru_XTYÔ]®3^
^Hd©±O[XZbpd8]zbpû
d (fÆ a"È2X†rnXTY$^]5ghd±O^jYÑ_^H[^†g†]:]-q8[^Ãbc;
d ü Ey
'®3^Ùn\3²n-^H]#üJª3XhrFüN±8^:qd3^†±´±O\,_bpd,³ { ®gZn-^Ù¶¶bvn'gn-\k´aŽbp^Hd8]n^H]
X†r2]5ghd±O^jY _i^H[^†gh]z]-q8[^†n!y
ÂÂ
&
e
µ'qÙ]®3^§±O^:qd,bp]bcXZdn2X†rgfa‹®©ghbpdX†rE`/ghsod,n"ghd±.gÃ_i\3d°Æ‘Xhræ_bc³Z®8]2_XT]ogh]ibpXTdn‹È5w
Ž‘|
b‰rz]®,^“[g†bp_.Æ ¸ ø·È0a!X†lm^H_on]®,^“[g†bp_.Æ ì1¸ ø·ÈbpdBawV]®3^Hd g¯ao®g†bpdçXhrn-\aHa!^­nn·ru\,s@`/ghssd3n
bcP
d (fÆ a"Èzn-]og†_]bcd3³°gh]]i®3^1^jd±O[XZbcdO]X†r]®3^Ù]oghd©±O^HYà_i^H[^†gh] Æ ¸ øÈY“\n-]z_^†gTa‹®°]®3^
^Hd©±O[XZbpd8]"Xhræ]®3^]og†d±O^HYô_i^H[^†gh]Æ ì1¸ ø·È5y2¶]2ruXZspscGX `n
]i®ghD] übxn"n-k\ ´aŽbp^Hd8]HwTnbcda!8^ ü bxn
g´Æ‘sc^!ru]Y$X n]ŽÈ"a!X†lm^H_ibpd3³.n-^H]Hy ‚¯XZ_i^HX†lm^H_Hw3²8q$]_5ghdn-bp]ibpl8bp]-qmwOb‰r2]i®3^1^jd±O[XZbcdO]zX†r"^Hlm^H_iq
]5ghd±O^jYô_^H[^†g†]']-qO[^bcd übvn_^­gZao®3^†±²Oq.gÙa‹®g†bpd.Xh6r `/ghos d,n
ru_iXZYô]i®3^^Hd±8[ XTbpd8]'X†r
n-XZY$^]5ghd±8^HYÑ_^j[ ^­gh]]q8[^bpP
d üJªxwO]i®3^HP
d üªbxnzg†sxn-X$n-k\ ´aŽbp^Hd8]Hy
e::^ q©d3:^ üªª]X²^1]i®3^Ùn^H]zX†r"]og†d±O^HY7_i^H[^†gh]z]-q8[ ^­n'bpP
d ü½`z®3Xmn-^^Hd±O[XTbpd8]on'bpd
(f
Æ a"È gh_i^ ˆ‰†˜"_^­gZao®3^†±²Oq.g†dOq.ao®ghbcd$Xhr n\aja!^†nnru\3Is `zg†os d,n
ru_XTY üªxÕy e XÙ[3_X†lm^]®3^
]i®3^HXZ_i^HY?wgTnn\,Y$^1ruXZ_faŽXZd8]_ogT±ObxaŽ]bpXTdVwA]i®ghŒ] üJªª®(
¬ ' ¯
y ƒ^H.] üÒªª*) ü²^.]®3^.n-^H]X†r
[g†bp_5n bcŠ
d ü `z®3bva‹®çn-[ ^­a!btruq°]oghd©±O^HY)_^j[ ^­gh]]-q8[ ^­n bc_
d üªªc›
y ƒ^H]Æ ì1¸ ø·È²^$g$_i^H[^†gh]
[g†bp_bp‘
d ü*ªª,n\ao®$]®©gh] ì bxnnY´g†spsp^j_2XZ_G^ ]¹\©ghsA]iX1]i®3^[Xmn-bp]bcXZd´^Hd8]_iqXhr ghd8q.[ghbc_'bpd
ü*ªªcí
y ƒ^H*] ^6^¤±O^Hd3XT]^f]®,^Ã]5ghd±8^HYÑ_^j[ ^­gh]]q8[^fn[^†aŽ¥b q^†±$²8q?Æ ì1¸ ø·È5y
W"sp^­gh_scqmw'b‰r ì `'^H_i^¯]i®3^¯sc^!ru]Y$X n].n-]ogh_i]bcd3³[Xmn-bp]bcXZd X†
r ^6^Cbc©
d a ]®3^jd Æ ì1¸ ø·È
a!XT\3sx±$d3^jlm^H_'®gHlm^f²^H^Hd°_^HY$X†lm^†±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!^X†r ^^Y.\n]n-]og†_]§gh]§nXZY<^[Xmnbc]bcXZP
d ï:9 ì y
½:GX ` ²^†aHg†\n.^ üábvn'gfsp^!ru]iY$Xmn-]"a!X†lm^H_bcd3³Ùn^H]jwO]i®3^H_^bxnnXTY$^:[©ghbp_,Æ + ¸ ø/È ó4üù`z®3bxao®
a!X†lm^H_5n1+Æ ï ¸ øÈoy´µ'\3] + ë ï9 ì w nX¤,Æ + ¸ øÈzbvnÃbpB
d ü ª ²8q?]®,^´a‹®,XZbxaŽ^Xhr ì t
y ~:^HdaŽ^.g
ao®ghbcd´Xh/r `/ghos d,n'bp¾
d (Ã!Æ a"È2ru_XZYÞ]®3^Ù^Hd±O[XZbcdO]zX†r"]®,^1]og†d±O^HYÞ_^H[^†g†]n-[ ^­a!¥b q^­± ²8q
ɼ
,Æ + ¸ øÈ"Y.\n]_^†gTa‹®°]®3^Ù^Hd±O[XTbpd8]:X†r^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´aŽbp^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\ $Å´]i_^H^my ¬ ^†ajghspsV]i®gh] ghd?^Hd±8[ XTbpd8]:X†r/g ]5ghd±O^jY _i^H[^†gh]§bpa
d ü ª bxnz_^†a!XT_o±O^­±Qbpd
(f
Æ a"ÈXZd^­±O³Z^?/Æ 8 ¸ *©È/btr]®,^“_i^H[^†gh]Ù^Hd±3nÙgh]1d,X8±O,
^ *¯XZ_Ùbpd]i®3^.bpd8]^H_ibpXZ_fX†r^†±O³Z^
/Æ 8 ¸ *©È5y ä t
^ `zbcspsa!XZd8]bcdO\,^$]X?\n-^´]®3bvn1a!XTdOlm^Hd8]bcXZd]iX?_^†aŽXZ_o±ç]®3^´^Hd±8[ XTbpd8]on1X†r
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$^zƱ8^H[3]®8ò| q_5n]"nigHq ÈV]i_ogHlm^H_-|
nighs'X†r (fÆ a"È5X
y e'®3bxnf]_5g­lm^j_ong†s'bvnÃbpd8]^j3_ `'X†lm^HX
d `zbc]®¤n-k\ <Ź|Çspbc‰d d4`/ghss d3nŽy?¶d¤±O^H]5ghbpsÇw
`z®3^jd ]i®3^“]i_ogHlm^H_5nghs ^Hda!XT\3dO]i^H_on§gQ]og†d±O^HY&_^H[^†g†
] ^6^¿bpA
d üªV_i^†a!XZ_5±O^†±çgh]ÙnXTY$^
^†±8³Z^Ù+Æ 8 ¸ *3ÈowZbc]^jÅO^†aŽ\3]^†n g1ao®ghbcd“X†r nk\ <Ź|Çspbc‰d d(`/ghss d3n2bp2
d (fÆ a"ÈÆn]5gh_i]bpd,³Ãru_XTYô]®3^
^Hd©±“Xhr ^^2Èow3]i(X qd±´ghd©± _i^†a!XT_o±$bp,
d (fÆ a"È
ghspsLXhr ]®3^§_bp³T®O]z_iXZ]5gh]bcXZdn'X†/r ^6^Š`z®3bxao®
g†_^1]5ghd±8^HY7_^H[^†g†]on!šy e'®3bxnao®g†bpd´Xh/r `/ghss d3nz^Hd±3nz]®,å^ q_5n]]bpY<^fghd°\3dn\©aHa!^†nin·ru\3s
`/ghos d?^jd±3n!wXZ_Ù]®3
^ q_on-]1]ibpY$^Ù]®g†]g¯n-\aHa!^­nn·ru\,s `zg†os d?^Hd±,n1gh]Ù]®3^.^Hd±8[ XTbpd8]1X†r
g1]5ghd±O^jYÑ_^H[^†g†]:]i®gh]z®©gZnghsp_i^†gZ±8q$²^H^Hd´_^†aŽXZ_o±8^†±$bpû
d (Ã!Æ a"Èoy2Äzru]^H_z]i^H_Y$bcdgh]ibpd3³
]i®3bxn.a‹®©ghbpd¤X†8r `zg†os d,n!w']i®3^°ghsp³TXZ_ibp]®,Y _i^H]\,_dn]Xç^†±O³T^+Æ 8 ¸ *3Èoy4¶]^HÅ8^†a!\3]i^†n1XZd3^
ao®ghbcd?Xhr `zg†os d,n:ruXZ_^†gTa‹®?]5ghd±8^HYà_i^H[^†gh]fbp_
d üJªA_i^†a!XZ_5±O^†±¯XTd ^†±8³Z^´+Æ 8 ¸ *3ÈoyÙÄ0ru]i^H_
g†sps3X†r]®3^†n-^ `zg†os d,n
®©g­lm^z²^H^jd“^HÅ8^†a!\,]^†±AwT]®3^§ghsc³ZXZ_ibp]i®3Y a!XZd8]bcdO\,^†n+bp]5n+spbcd3^†g†_|Ç]bpY<^
]i_ogHlm^H_onighsXh"r (Ã!Æ aÈ"ru_XTYà^†±8³Z^´+Æ 8 ¸ *3Èoyf`mXZY<^gZ±,±Obp]ibpXZd©ghs2bcY$[3sp^jY“^Hd8]og†]bcXZd´±O^j]oghbcsxn
`zbcspsA²^fbpd8]_iX8±O\a!^­¡
± `z®,^Hd¯]i®3^f]bpY<^g†dghscq3n-bxn'bxnzaŽXZdn-bx±O^H_i^†±Ay
¶d¯]i®3^1^HÅ,ghY<[3sp^fn-®3GX `zd¯bcd?¾+bc³Z\3_i^~Ow]®,^1[g†bp_ÙÆ ÉZžÉ ¸ ¼¹È Ƒ_^j[3_^†n-^Hd8]bpd,³]oghd©±O^HY
_i^H[^†gh‘
] ³³ž´y³³´Èbvn bcd¿scbxnt
] üÙÆ ÉTÉ Èow²3\3t
] ³k³ž´I³k³ž´bxnd3XT]$bpð
d üªÆu²^†aHgh\©n^?Xhr sp^†gHr
»mÈo/y ~:GX `'^jlm^H_Hwm]®,^1^Hd±8[ XTbpd8]zXhr ]og†d±O^HYÑ_i^H[^†gh8] ³ž´y³³´I³fbxn'bcP
d üªcwghd±´] `X_bc³Z®8]|
_iXZ]og†]bcXZdnfXhrbp] a!_^­gh]t
^ ³³´I³k³ž´L\
y ~^Hda!^]i®3^“^jd±O[XZbcdO]ÙXhR
r ³k³ž´I³k³ž´¯bvn _i^†gZao®3^†±?bpd
\ <Ź|Çspbc‰d d›`zg†os d,n!y
{ ®gTn^¶i¶¶"g­ru]i^H_] `X.n\aja!^†nnru\3sVn-k
-íþ3ÿ
1 ÔÑÔ
" , »
"3/.0.0.
õGÂ32ÆG¿6ÂkÃ#Ã
{ ®gZn-^Ù¶¶¶"a!XT__i^†a!]scq1_i^†a!XZ_5±3n]i®3^^Hd©±O[XZbpd8]'bcd,(fÆa"ÈXhr ^†gZao®“]5ghdO|
1 ±O^jYÑ_^H[^†g†]zbpd´]®,^ÃlmX8ajgh²3\3svgh_iq$Xhray
ÂÂ
Ô¬ ^†aHg†sps]®g†]7üª8bxnn\k a!bp^jdO]jwOg†d±´gÃ_i\3d´Xhr_bc³Z®8]|Ç_XT]ogh]ibpXTdnru_XTYÑg1[g†bp_
Æ ¸ øÈa!XZ_i_^†n-[XZd±3n]iX?g´a‹®©ghbpd?X†rn-\aHa!^†nin·ru\3s
n\k<Ź|Çspbcd‰dt`zg†sod,n ]i®gh]Ùn-]ogh_i]Ùgh]f]®3^
^Hd©±O[XZbpd8]2X†rA]i®3^']5ghd±8^HY_i^H[^†gh]"±8^:qd3^†±f²Oq<Æ ¸ ø·È5y~^Hda!^mwHb‰rL^Hlm^H_q a‹®g†bpdÙXhræn\k<Å
Ž‘|
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
scbpd‰dR`zg†sod,n/ru_iXZYÑ^Hd©±O[XZbpd8]onzXhr
]oghd©±O^HYÑ_i^H[^†gh]5n0bcdüJª^Hd±O^†±´XZd3scq´gh]]®,^Ã^jd±QX†r
g†d iˆ n-\aHa!^­nn·ru\,Òs `/ghos dLwz]®3^jda!XZ_i_^†a!]id3^†nin“Xhr { ®gZn-^¶i¶
¶ `'XT\3sx±¿²^?bpY<Y$^†±Obcgh]i^my
~:GX `^Hlm^H_Hwg¤ao®ghbcdáX†r.n
\ $Åm|scbp‰d dœ`zg†os d,n Y g­q4g†sxnX4^Hd±gh]´]®,^ ^Hd©±O[XZbpd8]´Xhr g
]5ghd±O^jY _^H[^†g†]$]®g†]¯bvn$ghsc_^†gT±Oq _^†aŽXZ_o±8^†±¿bp.
d (Ã!Æ a"Èoyô¶‘rÙ]®g†]´^Hd±Obcd3³¤]oghd©±O^HY
_i^H[^†gh]bxnz³Z\g†_og†dO]i^H^†±¯]X.²^1bca
d üªcw]®3^HdEa!XZ_i_^†aŽ]d3^†nin0bvn:g†³mg†bpd?bpY<Y“^†±8bxgh]i^mw8nbcda!^
g$ao®g†bpd?Xhr `/ghos d,n `zbpsps²^´Æ‘XT_î©gZn:²^H^HdLÈn]5gh_]i^†±Qru_XTYà]i®3^^Hd±´Xhrz]i®gh]§]oghd©±O^HY
_i^H[^†gh]jy
^ `zbpscsn®3GX `N]®©gh]^Hlm^j_q´ao®ghbcd´Xhr `zg†os d,n0bcd { ®gZn-^.¶¶i¶'^Hd±3nz^Hbp]i®3^H_ `zbc]®?g†d
ä (
\3d©n\aHaŽ^†nnru\3s `zg†os dLwAXZ_Ùg†]Ã]i®3^^Hd±8[ XTbpd8]Xhr0g$]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^ág†d4
± ^ ª ^ ª _i^†n[^†aŽ]bplm^jspqmwLghd±?]®©gh]f²XZ]® a‹®g†bpdn§a!XZdO|
]5ghbpd°n-\aHa!^†nin·ru\3Ks `zg†os d,n]®©gh]^Hd\
± `zbc]®´]®3^ nghY<^]og†d±O^HYÑ_i^H[^†gh*] ^ ªª ^ ªª d,XZ]bp;
d ü ªy
`m\,[3[Xmn^ÙXZd3^fX†r"]®3X n^Ùao®ghbcd@n q_on-¨] qd±3nghd©± _i^†a!XT_o±3nz]®3^§^Hd±$Xhr ^ ªª ^ ªª w,ghd±´]®3^
XT]®3^H_"svgh]^j_^jda!XZ\,dO]i^H_on+]i®3bxn2_i^†a!XZ_5±Ay` \3[3[Xmn-^]®3^§ao®ghbcd1ru_XZâ
Y ^6^ça!XZd8]og†bpdn2Y$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¿X†rfg?n-[ ^­a!¥b qLa
n-]_bcd3³3/y ~^Hda!^mwT] `Xn-\aHa!^†nin·ru\3Is `/ghos d,n2]®g†]'^Hd©±$gh]]®3^§ng†Y$^:[XTbpd8]'bp2
d (fÆ a"ÈY“\n-]
®gHlm^/ghsxn-Xfn]5gh_i]^†±g†]2]®3^nighY$^[XZbpd8]Hy ¬ ^j[ ^­gh]bcd3³]i®3bxnV_^†gTnXTd3bpd3³,wm]®3^ao®ghbcdÃru_iXZY
^6^}Y.\n]aŽXZd8]oghbcd¯]i®3^.a‹®©ghbpd$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^$^jd±O^†Š
± `zbp]i®]®,›
^ `zg†os d]i®gh]^Hd©±3n1g†]
]i®3^1^Hd©±O[XZbpd8]bpP
d (fÆ a"ÈXhr/n]i_bcd3›
³ ^Eª«^Eªxy ä ^aŽXZda!sc\±O^Ù]®g†]^Hlm^H_iq$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]ÃX†r/g
5] ghd±O^jYÑ_^H[^†g†]zbpdPü ª w3ghd©±Q]®,^1aŽXZ__i^†a!]id3^†nn'X†r { ®gZn-^Ù¶¶¶"bxn'[3_iX†lm^HdVy
µ
1 ÔÑb¶
(¾ÔBÂV¼£¿547698¼:21Â;›¿6¼‰Åb6Ã#¾òÃnŽ‘6¼‰Ã#Â=<><><
^f² ^j³Zbpdt`zbc]®´]!`'Xtƒ^HY$Y´gTn!y
ä
¾©XT_g†dOq?^†±8³Z,
^ 3 ® +Æ 8 ¸ *3Èzbc_
d (fÆ a"Èowg†]1Y$X n]]!`'X´]5ghd±O^jYÖ_i^H[^†gh]
ÂŽAB¼&
]-q8[ ^­n'^Hd±$bpd´]®,^ÃbcdO]i^H_bcXZ_Xhr"^†±8³Z^:3XZ_§gh]d3X8±O^:*y
3¾ XZ_ ^†gZao®fd3X8±O^*Xhr (fÆa"ÈowHsc^H]@? Æ+*3ÈV±O^jd3XZ]i^']®,^'sxg†_³T^†n]2X†rLghscsOsc^†g­rx|Çsxg†²^Hsxn
bcd?]®3^<n\3²,]_^j^² ^jspXG` *ye'®3^Hdç]®,^_bp³T®O]iY$Xmn-]X8aHa!\,__^jda!^1X†rg°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-]
X8aHaŽ\3__i^Hda!^†n.n]5gh_i]´gh]$]i®3^çng†Y$^´[Xmnbc]bcXZ’
d $Æn-^HX
^ e'®,^HXZ_i^HY É Èowz]i®3^?dO\,Y“²^H_X†r
]5ghd±O^jY _i^H[^†gh]5ín `z®,Xmn^Ù^Hd±O[XTbpd8]ongh_^ a!XZd8]og†bpd3^­± bcd´^†±O³Z^­ín `z®3bva‹®´^Hd©±¯gh]d3X8±O^­n
`zbc]®]i®3^°nghY<A
^ ?'|ÇlTghsc\3^´bxn1²XZ\3d©±O^†±²Oqç!] `'X,y ¶d[©gh_]ibxa!\,sxgh_]i®3bxnfY$^†g†dn!w]®g†]
]i®3^H_^ aHghd°²^gh]§Y$Xmn-]:!] `'X.]og†d±O^HY7_i^H[^†gh]5Òn `z®3Xmn-^1^Hd©±O[XZbpd8]on§gh_^ a!XZd8]og†bpd3^­±Qbpd
^†±8³Z^.+Æ 8 ¸ *3È2XT_g†]zd3X8±O:^ *y
µ
Ž‘|
'®3^.]XT]oghs"d8\3Y.² ^j_zXhrz^­±O³Z^†n]i_ogHlm^H_on-^†±¯±8\3_bcd3³°ghsps ]®3^.n-\k$Åm|Çspbpd£d
`/ghsod,n'bpd { ®gTn^¶i¶¶2bxn'²XT\3d±O^†±¯²8qt€1Æ ç æ ç b Èoy
ÂŽAB¼
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[^†n0bcŠ
d a
Ž‘|
bvn'² XT\3d±O^­±Q²8q´ºby'{"gZao®°n\k<Åm|scbpd‰dR`zg†sod$²^H³Tbpdngh]z]i®3^f^Hd±O[XZbcdO]zX†rg.±Obxn-]bpd©a!]
]5ghd±O^jYÑ_^H[^†g†]z]-qO[^mw8d3X\`/ghssd“bvn'_^H[^†g†]^†±$]!`zbxa!^ ye'®3^H_i^!ruXZ_i^mwO]i®3^f]XT]oghsd8\3Y“²^H_
X†rn\$Åm|scbpd‰dt`/ghsod,n!wg†d±ã®,^Hda!^.n-\k$Åm|Çspbpd£dQ]i_ogHlm^H_5nghsvn!wAbvn² XT\3d±O^­±ã²8q?ºžb+y ä ^
d3^jÅO]z²XZ\,d±Q]i®3^f]XZ]5ghsdO\,Y“²^H_"Xhr
^†±O³Z^­nzn d8bp[3[^†±$²8q$]®3^Ù!n dObc[ цa!XT\3d8]z]_bvpa dLy
e'®3^.n-k
\ $Åm|Çspbp£d d‘`zg†os d´ru_XZY g$]oghd©±O^HYà_i^H[^†gh8] `z®3X n^.^Hd±O[XTbpd8]bxnfgh] g d,X8±O^
bcdOlmXTsplm^†n:d,X¯^†±O³T^$!n dObc[3[3bcd3³3w®3^Hda!^.^†±O³T^†n1g†_^´!n dObc[3[^†±?XZd3sc4
q `z®3^jd]®3^<n]5gh_i]bpd,³
[XZbcdO]fX†r›
g `zg†os d¯bvnbpd?]®,^“bcdO]i^H_bcXZ_Xhrg†d ^­±O³Z^my.µ'^!ruXT_^.g†dghsckq rHbcd3³$]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´scbp‰d dLw svgh²^Hsc^†‘
± ð´ngHqmwru_XZY 8¯],
X 8‰ªxwLghd©± g$n-bpd3³Tsp^ nk\ <ůscbp‰d d“ru_iXZY * ]i,
X *1ªpw
g†sxnXsvgh²^Hsc^†›
± ðy"µ'q.a!XZdn-]_i\a!]bcXZdVw *1ª8Y“\n-]"² ^Ùg±O^­na!^Hd©±3ghd8]'X†r 8‰ªxw,ghd±$]®,^[gh]i®
ru_iXZt
Y 8‰ª+]iP
X *1ªVY“\©n]²^.sxgh²^Hsc^†X
± `zbp]®ç]®,^$n-]_bcd3;
³ <R
y e'®3^H_i^!ruXZ_i^mw2g†dOqçn-k\ $Åm|Çspbp£d d
`/ghos dÙ]®g†]zn-]ogh_i]on2XZd<]®3^z^†±8³Z^Ù+Æ 8 ¸ *3ÈVY“\©n]2^Hd©±1XZd$]i®3^z[gh]i®“ru_XTY 8‰ªm]
X *Óªcy"Ä:³ ghbpd
²8q$aŽXZdn-]_\©a!]bcXZdVw8]®3^H_i^faHg†dQ²^d,Xd3X8±O^Ùn]i_bxaŽ]spq²^H!] `^H^H,
d 8‰ªg†d,
± *Óª8]®g†]z®gZnzg†d
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$Åm|Çspbpd£d(`zg†sod,n2]®g†]znd8bp[.^†±O³T^ 30ghd±“]i_ogHlm^H_5n^g1n-\k<Åspbpd£d
svgh²^Hsp^­±VðY.\n]/n]og†_]XZd°]®3^Ùng†Y$^^†±8³Z^mw3XT_gh]]®3^f®3^†gT±$Xhr"]i®gh]^†±O³T^my
bcda!XZY<bpd3³ n\k<Ź|Çspbcd‰d$svgh²^Hsp^­±¡`zbc]®gð y¶]0ruXTspspXG`n']i®gh]fg†dOq n\k<Ź|Çspbcd‰d›`/ghsod<]®g†]
]i_ogHlm^H_on-^†n"g1n-\k$Åscbpd‰dsvgh²^Hsc^†±\ðwmY“\©n]2^Hd©±“²^!ruXZ_i^:^Hd©a!XZ\3d8]^j_bpd,³1gÙn^†aŽXZd±“d,X8±O^
]i®gh]®©gZnfghdç^Hd8]^H_ibpd3³<nk\ <ůscbp‰d d´svgh²^Hsp^­X
± ð y ä ^.a!XZd©a!sp\±8^1]®©gh]fbtr 3fbxn§ghdç^†±O³Z^
XTd ]i®3^[gh]i® ru_XTj
Y 8‰ªV]û
X *1ªpwg†d± 3 bxn!n dObc[3[^†± ±8\3_bcd3³°gQn-k\ <Ź|Çspbc‰d dt`zghss dX`z®3bxao®
n-]ogh_i]^†±1²8q1]i_ogHlm^H_5nbpd,³gn-k\ <Å1spbc‰d dfsxg†² ^jsp^†.± ð wZ]i®3^Hd]i®gh] `/ghss d1Y.\n]V®gHlm^n-]ogh_i]^†±
XTd¯^†±O³T^.+Æ 8 ¸ *3Èoy` ^H^Ù¾+bp³T\3_^ É ÁOy
] `'^®gHlm^^†n]5gh²3scbxn®,^†± bvn2]®g†]'btHr 3zbxn"!n dObc[3[^†±$±O\3_ibpd3³ÙgÙnk\ <Ź|Çspbc‰d d`zg†os dLw
ä ®g†¨
]i®3^Hd1]i®3^"sxg†² ^jsOX†r]®3^n-k\ $Åfscbp‰d d\©n^†±XZd]i®gh6] `zg†os d\,d3+b ]m\3^Hscqf±O^H]i^H_Y$bcd3^†ngnbpd,³Zsp^
^†±8³Z8^ `z®3^H_i^]®g†Ò] `/ghss d$a!XT\3sx±$®gHlm^²^H³T\3dVyµ'\3]z^Hlm^H_iq.nk\ <Åm|scbp‰d dR`zg†os d´n-]ogh_i]onzg†]
]i®3^$^Hd±8[ XTbpd8]Xhr g¯]og†d±O^HY _^H[^†g†]HwnX?²8•
q ƒ^jY$Y´g$€3w"g†]Y$Xmn-]1!] `'Xçn-k\ $Åm|Çspbp£d d
`/ghos d,naHg†dçn]5gh_]fXTdg†dOq°³Zbplm^jd¯^†±O³T^m.
y ~:^Hda!^Ù]®3^ÙdO\,Y“²^H_Xhr]bcY$^†nz]®g†]^†±O³T¯
^ 3
aHg†d¯²^.n d8bp[,[ ^­± Ƒ^­gZao®Q]ibpY$^ ±O\3_bcd3³´g.±O¥b ¤L^H_i^Hd8Ò] `/ghos dÈ"bxnz²XZ\3d©±O^†±¯²8q¯º ç æ ç wAg†d±
]i®3^fsp^HY$Y<gbxn'[3_iX†lm^†±Ay
µ
{"gZao®n-k\ $Åm|Çspbp£d d]_5g­lm^j_ong†sw†XZ_^†±O³T^']_5gHlm^H_onighsw†XZ_^†±O³T^z!n dObc[1bpd íg `/ghss dÃ_iG^ ]m\3bp_i^†n
XTd3spqça!XTdn]5ghd8]f]bpY<^m(y ~^Hda!^]i¡
X q©d3bxn-® ]i®3^“]ibpY$^Ùg†dghscq3n-bxnXhr { ®gTn^<¶¶*¶ `'^XZd,spq
d3^j^†±$]X²XZ\3d©±Q]®,^Ã]ibpY$^d3^H^­±O^†±“]iX“]i^†n]zb‰r 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|Çspbc‰d d›`/ghos d<² ^j³Zbpd©n:g†]
]i®3^1^Hd©±QXhrg“]og†d±O^HY7_^j[ ^­gh]X†r"sp^Hd,³Z]g
® øy¶]^Hd±3ngh]fn-]_ibpd3³†|-±O^j[3]g
® øg†sxn-X3wVn-X“]iX
bcY$[3sp^jY“^Hdm] ]®3^]i^†n]jwO]i®3^Ùghsp³TXZ_ibp]®,YÑao®3^†>a d3n2]iX.n^H^b‰r g1]og†d±O^HYÑ_i^H[^†gh]Xhr sp^Hd,³Z]®
ø+bvn0_i^†a!XT_o±O^†±$XTd¯]®,^1g†[3[3_iXZ[3_ibxgh]i^1^†±8³Z^$Æu]®3^f^†±8³Z^1bcdO]iX.g d,X8±O^1b‰r2]i®3(
^ `/ghos d<^Hd±3n
g†]zgÃd,X8±O^mwO^jsxn^zXTd$]®,^:^†±8³Z^ `z®3^j_^]®3*^ `zg†os d^Hd±,n‹Èo/y e'®,^:]ibpY$^z]iXao®3^†>a d ruXT_zn-\a‹®
g1_i^†a!XZ_5±$bxnza!XTdn]5ghd8]n-bpda!^ wO²8V
q ƒ^HY<Y´g€3wgh]Y$X n]'!] `X]oghd©±O^HYÑ_i^H[^†gh]5nzaHghd°² ^
ºTÁ
_i^†a!XZ_5±O^†±“XTd´ghd8q.^†±O³Z^ y"¾+bpdg†spscqmwZ]®,^XZd3scq$gT±3±Obc]bpXTdghsæn[gTa!^d3^j^†±O^†±“bcd { ®gZn-^f¶¶i¶
bvn \©n^†±¯]iX¯_^­a!XZ_5±¯]®3^.^Hd±O[XTbpd8]onXhr/]®3^.]og†d±O^HY&_^H[^†g†]onÃbcd-(ÃÆ!a"Èoy“`mbcda!^^†gTa‹®
n-\a‹®Ù_^†aŽXZ_o±1]5g dm^†na!XTdn]5ghd8]'n-[gZaŽ^mwmghd©±1]®3^H_i^zg†_^zXZd,spqgspbpd,^†gh_dO\,Y“²^H_VX†rA]i®3^HY?w
`^1aŽXZda!sc\±O
^ `zbc]®´]®,^ ruXTspscX `zbcd3³
©® gZn^ ¶¶¶_\3dnfbpd€ÙÆ b È]ibpY$^.g†d±n-[gZa!^ w2ghd©±·`z®,^HdÊq©d3bxn-®3^†±Aw
]i®3^f^Hd±O[XZbcdO]5n0X†rghscsV]og†d±O^HY7_^j[ ^­gh]z]-qO[^†ngh_i^f_^†a!XT_o±O^­±Qbpdû(fÆa"Èoy/~^Hda!^(fÆa"È
aHg†d´² ^Ù±O^­a!XZ_5gh]^­¡
± `zbc]®´]®,^1aŽXZY$[3sc^H]^z]5ghd±8^HYÑ_^j[ ^­gh]zlmX8aHg†²3\3sxg†_q$X†rabcd‘€ÙÆbVÈ
]ibpY$^§ghd±°n[gTa!^my
ÂÂ
B
{
'µ q´g1spbcd3^†g†_z]bpY<^:]i_ogHlm^H_onighsLXhrF(fÆa"Èow8]®3^Ùa!XTY$[3sc^H]^lmX8aHgh²,\3sxg†_q
X†r"]®3^f]5ghd±O^jY _i^H[^†gh]5n0X†ra4aHg†d¯²^a!XTspsc^†a!]^­±$ghd±´XZ\3]i[3\3]ÆÇgZnz[Xmnbc]bcXZdVwsp^Hd,³Z]®
[g†bp_5n‹È"bpdX€ÙÆbVÈ']ibpY$^§ghd©±¯n[©gZa!^my
IÅòÅÀ¼Š¶¿
DFEVQÕÚåPPKZ[T\PPK_T:R©Q/à
Ú
C
áâß:KZGYHGöÜ#ÝTS¨ZQ/àXÛ
' & %-
,&z,
,z
Âda!^?]i®3^çn\$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:g†spsX8aja!\3__i^Hda!^­n“Xhr ]oghd©±O^HY _i^H[^†gh]5n$bpd aaHghd²^ãruXT\3d± btrfruXZ_
^†gTa‹®4]og†d±O^HY _^H[^†g†]$spX8aHg†]bcXZdVwz]®,^?n\,²3]_i^H^?²^HspGX `7]®3bvn scX8aHgh]ibpXTd bxn“]i_ogHlm^H_on-^†±
g†d±¯]®3^Ùsxg†² ^jsxnzXhrg†spssp^†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_5ng†s2bxn:[X nnbc²3sp^
bcd ]ibpY$^Ù[3_XT[ XT_]ibpXZd©ghs']iX¯]i®3^“d8\3Y.²^H_Xhr/bp]5n sc^†gHlm^†n!wL]®3^.]XT]oghs_\3d,d3bpd3³´]ibpY$^X†r
]i®3bxn^HÅ8]^Hd©nbpXTd?bx(n €ÙÆ b‘ËŽOÈoEw `z®3^H_i›
^ Ž´bxn]®3^.XZ\,][3\3] nsb rH^ ‹ y$½:XT]^.]®g†]1^HÅ8bxn-]bcd3³
g†sp³ZXT_bc]®3Y´nV]®©gh] qd±g†sps8X8aHa!\3_i_^HdaŽ^†n+XhrL]5ghd±O^jY_^j[ ^­gh]on"g†d±1_\3dbc›
d €ÙÆ b:scXZ³ b¨
ŽOÈL]bcY$
^ `'^j_^"[3_^jlObcXZ\n-spqf±O^­a!sxg†_^†±Æ‘bcdn-XZY$^"[3svgZa!^†noÈA]iX:²^]bpY<^!|XT[3]bcY´ghsÇw!²^†aHg†\n^
L« K2u•†’!š†Š…›fƒ†’އ‘‡‘•Tˆo‡+‚Š…œŽ’!u„…‡u•h£
–iˆ‹ƒÙ¦Z" ³H‡‘-ƒ†›†-›‡‘’›†„…‘-–-‡uŠ…#¥ ›Tƒ†›1ˆoŠ…Š8’H–-–-šhuuƒ†–--'’o”
‡Çˆ‹ƒ†›†-£¤‘-˜Ziˆo‡‘„…ƒ‡‘•†„…L‡‘„—£:V¦T’!š†ƒ†›•Hšh9 u„…ƒ†œNMPORQTSVUXW u˜Tˆ‹–- Ÿ ”V•hZY!-¥z„…L‡‘’˜h„—–[Yzš†˜fˆ‹ƒ†›–-’!˜H¥
‡u•†’!u‡Çˆ‹ƒ†›†-£Cu-˜Ziˆo‡‘z‡u•Tˆ‹‡ˆo‘-ƒH‡u„…‘-Š…¥–-’ŽƒH‡Çˆ‹„…ƒ†-›.„…ƒ$ˆf‘„—ƒhœŽŠ…z¦†Š…’H,– Yҕ u„…ƒ†–-ˆoŠ…ŠL’!‡u•†uˆo‘
–-’ŽŠ…Š…-–-‡‘-›„…ƒÙ‡‘•†z’Ž‘„…œŽ„…ƒTˆoŠO‚Š…œŽ’!u„…‡u•h£ 9ŽŸ KŠ…iˆŒ!‡‘•†z›†-‡ˆo„…Š…2‡u’‡u•†z‘iˆo›h- Ÿ – ‘’H–Ç•h-£’!uX \ 
’Ž‘„—œ!„…ƒTˆoŠˆoŠ…œ!’Žu„…‡‘•†
£ — – u’ • – ‘’ • –˜ ‡‘•Tˆo‡"‡‘-u‡‘„ ”ˆu‡‘u„…ƒ†œf„…"a `HšTˆo‘”cu| •–iˆ‹ƒ.ˆoŠ…u’¦Z
³H‡u-ƒh›†-›‡u’"›Tƒ†›f„—‡‘•†-"^ž ‡‘] •†"Š…”c‡‘^ž £_ ’!u‡V’H–-6 –-™Zš†š ‘u-ƒh–-’‹”Liˆo–•1‡Çˆ‹ƒ†›†-£ ‘-˜Tˆo‡"„…ƒbNOcQWV‡‘„—£:"ˆoƒ†›
u˜Tˆ‹–- —edfˆ‹„ ž!4 š •H’Ž‡‘N’ ›Tƒ†›Ùˆ‹Š…Šm‡u•†"‘š†ƒ†+’o”‡Çˆ‹ƒ†›†-£¿u-˜Ziˆ‹‡u2„…fƒ bgORQWV‡‘„…£ ˆ‹ƒ†›u˜Tˆ‹–-| •— hPh !Zž š •
ˆoƒ†›‡‘’›Tƒh› ˆ‹Š…Šm’j––-š†u‘-ƒ†–-"’o”3‡Çˆoƒh›†-£¿u-˜Ziˆo‡‘2„—ƒibNORQSjUXWA‡‘„—£:ˆoƒ†›lkORQWA‘˜Tˆo–— hZh !Zž šuŸ
Iíþ3ÿ
J
ºÉ
bcd\`XZ_on-]|·aHgZn-^]®,^H_^aHg†d$²^iÆ b‹!ÈX8aHa!\,__^jda!^†nŽy~:^Hd©a!^zXZ\3_d3^#` ghsp³TXZ_ibp]®,Y `zbp]®
bc]oV
n €ÙÆ bАùŽOÈ.]bpY<^Q²XT\3d± bxm
n Y$XT_^°XZ[3]ibpY´g†s ?]®g†dá]i®3^?[3_^jlObcXZ\niXZ[3]ibpY´g†s
g†sp³ZXT_bc]®3Y´nŽy
`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$X†r a¤ÆÇghd±.®3^Hda!^]®,^:]iXZ]og†sdO\3Y.²^H_2X†rV]og†d±O^HY _^j[ ^­gh]on2bcV
d a"Èow8g†d±
qd©±Obpd3³f]i®3^n-®3XZ_i]^†n-]'XT_']®,^:scXZd3³T^†n]"]og†d±O^HYô_i^H[^†gh]/n]5gh_]ibpd3³Ùg†]'^†gTa‹®.[Xmnbc]bcXZd$X†r
a/
y e'®3^f±8^H]og†bpsxn"g†_^fsp^!ru]"]iX1]®,^_^†gT±O^H_j/y ‚¯XZ_^ a!XZY$[,sp^HÅÙ^HÅO]i^Hdn-bpXZd©n'gh_i^f±Obvna!\nin^†±
bcdQ]i®3^fd3^HÅ8]n\3²©n^†a!]ibpXTdVw3g†d±Qbcdã` ^†a!]bcXZd?¸my
ô,on “'%§
( +*Ù+2,
¬ ^†aHg†spsru_iXZY ]®,^QbcdO]i_X8±O\©a!]bcXZd¿]i®gh]<gX”Kl:–+—–o˜ –+ƒ™m´]og†d±O^HYÔ_i^H[^†gh].bxn.g?]oghd©±O^HY
_i^H[^†gh]^^©`z®,^H_t
^ ^bxnÃ[,_bpY<bp]bclZ^mwLby ^ yp6w ^ ® < ruXZ_.n-XZY$^.d3XTdO|^jY$[3]-qçn]i_bpd,P
³ <
XTd3spq$b‰r ‰ ® É y
\ <Å1]_i^H¨^ `zbc]®]i®3^z^Hd±O[XTbpd8]on+X†rghscs3]®,^'[3_ibpY$bc]bplm^ ]oghd©±O^HY
ä ^±O^†a!XT_ogh]i^z]®3^n-k
_i^H[^†gh]]-q8[^†n0bc4
d a¤²8›
q qsp]i^H_bcd3³“XT\3]d3XTdO|Ç[3_bcY$bp]ibplm^_i^H[^†gh]5n0ru_XTY ]i®3^n-k\ <ů]_i^H^
±O^­a!XZ_5gh]^­4
± `zbp]i®]®3^ a!XZY$[,sp^H]i^_^H[^†g†]1lmX8aHg†²3\3sxg†_qmy ä ^$\©n^´g†d¿g†\3Å8bpspbvgh_iqç±3gh]5g
n-]_\©a!]\3_i
^ Îkm”I˜5¢ñwj1l:l%j1¦ X†rnsb rH8^ b‰w `z®3^H_^Ùg†spsa!^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$^Ùghdç^Hd±O[XZbcdO]fX†r
g]og†d±O^HY7_^j[ ^­gh]Xhr"sc^Hd3³Z]i
® øwnig­q w3bxnz^Hda!XT\3dO]i^H_^­±Akw `^±OX.]®3^ruXTspspGX `zbcd3³3yz¶‘r ]®3^
^Hd8]_iq“X†r"aŽ^HspKs ø+bcd$]®3^Ù±O^j[3]®O|·gh_i_ogHq$bvnzÁO‰w `'^§bpdn-^H_]]®3^flTghsc\3.^ ø bcdO]iX.a!^HspsLžº ø+Xhr ]®3^
±O^j[3]®O|·gh_i_ogHqmy"¶‘rL]®3^^Hd8]_iq1Xhr aŽ^Hsp£s øAbxn ‰ ® ¬ ÁO1w `'^bpd©n^H_i]2]®3^lTghsc\3^ ‰ bpd8]XÙa!^jspIs ø ‰
X†r']i®3^±8^H[3]®8|-g†__ogHqmwæghd‘
± `^1Y´g†3_ d´]®3^Ù]og†d±O^HY&_^H[^†g†Ò] `*^ Ÿ\n]^Hda!XT\3d8]^H_i^†±¯gTn
d3XTdO|Ç[3_bcY$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$bp]ibplm^"XZ_zd3XT]!È5wObp]n-^H]on"]®3^f±8^H[3]®8|-g†__ogHq.lTghsp\,^:ruXZ_
a!^jspEs øV]R
X rH^H_iX3y
Ä0ru]i^H_+]i®3^±O^H[,]®OÀ| q_on-]"]_ogHlm^H_5ng†swZ^Hlm^j_qd3XTdO|Ç[3_bcY$bp]ibplm^"]og†d±O^HY _^H[^†g†]2]-qO[^zbpd
]i®3^lmX8aHg†²3\3sxg†_q.bxn"Y´gh%_ dm^†± bc,
d (fÆ a"Èow8nX]i®3^[3_ibpY$bc]bclm^']og†d±O^HY _^j[ ^­gh]z]-qO[^†naHghd
²^a!XTspsp^­a!]^†±bc›
d €1Æ b È]bcY$/^ `zbp]i®.ghd3XT]®3^H_ spbpd,^†gh_-|]ibpY$^"]_i^H^']i_ogHlm^H_5nghsÇy2¾3\3_i]®3^H_jwZg†sps
]i®3^'X8aHaŽ\3__i^Hda!^†nVXhrL[3_ibpY$bc]bclm^+]5ghd±O^jYC_i^H[^†gh]5n2aHg†d² ^'ruXT\3d±1bcd1XZ[,]bpY gh‰s €ÙÆ b¨RŽOÈ
]ibpY$^mžw `z®3^H_c^ Ž1bxnd,X `]®,^dO\,Y“²^H_2X†r2X8aja!\3__i^Hda!^­nXhr [3_ibpY$bc]bplT^']5ghd±O^jY _i^H[^†gh]5n
bcŠ
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$^§ghsc³ZXZ_ibp]i®3Y´n!y
Iíþwý
»
ºTº
ÙBßPXU
ÚåÛ
r
G
S/S@ßJÞ¾K
Ä
Qbxng°n]_ibpd3³Ïï ® ^ ƒ `zbc]® ‰ 7ºOy綑rJ^ábxn1[,_bpY<bp]bclZ^mwÖï bxnÙg
hyÀ^Hd3^H_5ghspbsrHbpd,³$]®3^³TXmg†s'Xhrqd±Obcd3³´]®3^.lmX8aHg†²3\3sxg†_q?X†r
g†spsV]og†d±O^HYÞ_^H[^†g†]:]-q8[ ^­n!kw `8^ `'XZ\,sx±Qscob dm^]
X qd±$]®,^n^j]zXhrg†spsV±8bxn]ibpdaŽ]z]oghd©±O^HY
g†__ogHq?]-q8[ ^­n XT_$ÆuY$XZ_i^Xhru]^jdAÈ]®3^´±8bxn]ibpdaŽ][3_bcY$bp]ibplm^f]og†d±O^HY g†__5g­q?]-q8[^†nbpd g
n-]_bcd3³3y ä ^/±OXZÖd É 6] dOd3GX `]i®3^zn-ob rH^"X†rA]i®3Xmn-^zn-^H]onŽwZ²3\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±$XTd3^_^j[3_^†n-^Hd8]ogh]ibplm^zX†r
^†gTa‹®?]-q8[^1bpŠ
d €ÙÆ bVœŽOÈz]bcY$^mJy e'®3^Y$^H]i®3X8±?gh³ ghbpdç_^jspbp^­n'®3^†gHlObcspq´XZd?]i®3^\n-^“X†r
n-k\ $Å<]_^j^†n!y
e'®3^fg†sp³TXZ_bc]®3_
Y `'XZ%_ d3n"bpd$!] `X[3®gZn-^†n!/y eVX^HÅ8[3sxg†bpd$]i®3Ò^ q_5n]z[3®©gZn^ kw `'^ ±O:^ qd3^
g´n^jL
] ü X†rz[3_ibpY$bc]bplm^§]oghd©±O^HY lpm ”ym%j˜]-qO[^†n]X´²R
^ ”Iñòf[i?>ˇ#–òmpˆk˜1btr]i®3^“^jd±O[XZbcdO]
bcA
d (Ã!Æ a"ÈXhr§^Hlm^H_iq?[3_bcY$bp]ibplm^Ù]oghd©±O^HY _^H[^†g†]]q8[^´aHg†d}²^´_^­gZao®3^†±?²Oq g?a‹®©ghbpd
X†r§n\aHaŽ^†nnru\3snk\ <Ź|Çspbc‰d dX`zg†os d,n:ru_XZY ]®,^“^Hd©±O[XZbpd8]1X†r§nXTY$^“[,_bpY<bp]bclm^f]oghd©±O^HY
_i^H[^†gh]bpP
d üyÄ —–+ˆ£–+—j²‰”Iñòf[i?>ˇ#–òmpˆk˜n-^H] üNbvn:g[O|·nk\  a!bc^HdO]n-^H]ng†]bvn·ruq8bpd3³.]®3^
a!XTd±Obc]bpXTd¯]i®gh]]i®3^1_i^HY$X†lTghsVX†rzg†dOq´]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¤bxn“bcdg Y<bpd3bcY$g†s'[O|·nk\  a!bc^HdO] n^H;
] ü wz]®3^Hd ^jbp]®,^H_
ï*ð¯bxn:d,XZ]f]®3^._bc³Z®8]|Ç_XT]ogh]ibpXTd X†r§ghd3XT]®3^H_f]5ghd±O^jY)_^H[^†g†]Ã]-q8[R
^ ðkïbcŠ
d a'wVXT_1g†sps
_iXZ]og†]bcXZdnfXhJr ^6^ág†_^.]oghd©±O^HY _^H[^†g†]onbpB
d aw+²3\3]fd3XTd3^$X†r]®3^†n-^“bvnbpA
d ü ^jÅ3a!^j[3]
ruXT8_ ^^¤bp]5n^Hs‰riyÃÆÇe:\3^]iX$]®3^ n^†aŽXZd±¯[Xmninbc²3bpscbp]-qmwLg“Y$bpd,bpY<ghsA[8|-n-k\ ´aŽbp^Hd8]n^H]§Xh*r a
bvn'd3XZ]d3^†a!^­nng†_bcspq.\3d3+b ]m\3^my‰È
˜ j1ˆ‰Îkm—­j1l:l%j1¦
”Kl–+—–o˜–+™Gm˜j1ˆ£Îkm—Ôj1l:l%j1¦
N#$8 » "3
}
¶d¯]i®3^(q_5n][3®©gZn^X†r]®3^ ghsp³TXZ_ibp]®,Y?wy`^1bv±O^Hd8]btruq g“Y$bpd,bpY´g†s [8|-n-\k´aŽbp^Hd8]n-^H]X†r
]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^X†rghscsV]®3^Ù±Obvn]bcda!][3_bcY$bp]ibplm^z]og†d±O^HY gh__5gHq$]-qO[^†nŽy
ÄôY$bpd3bcY´ghsV[8|-n-k\ ´aŽbp^Hd8]fn^j]aHg†d ^†gTnbcspq?²^“ruXZ\,d± bpdçspbcd3^†g†_Ã]ibpY$^ w \n-bpd3³°]®3^
n-^H]fXhr§ghscs"[3_bcY$bp]ibplm^f]og†d±O^HY)_i^H[^†gh]5n“òÆ `z®,Xmn^<^Hd±O[XZbcdO]5nÃbc_
d (fÆ a"ȧgh_i^ ruXT\3d±gTn
±O^­na!_ibp²^†±bpd`m^†a!]ibpXZd ¼Oy—º¹Èoy ƒ^H
] t ±O^Hd,XZ]^?]i®3^°n^H]<Xhrf^Hd©±O[XZbpd8]onbpd (Ã!Æ a"È1X†r
g†spsV]®,^1[3_ibpY$bc]bplm^z]5ghd±8^HY7_^H[^†g†]:]-q8[ ^­n!yzÄ:sc³ZXT_bp]i®3YÑR
€ `zbpscsVY´gh%_ d$g†sps]®3^f[XZbcdO]5n
bcu
d t w3\n-bpd3³.Y´g†3_ d,n'XhNr vNxw w ghd©u
± ?fIw `z®3Xmn-^1Y$^­ghd3bcd3³m¨n `zbcspsA²^Ù^HÅO[,sxghbcd3^†±$sxg†]^H_jy
¶d3bc]bxg†spscqmw†ghscs3^Hd±O[XTbpd8]on+bcj
d t g†_^zY´g†3_ dm^†
± vNy e'®3^'ruXTspscX `zbcd3Ò³ qsc]^H_ibpd3³§[3_X8a!^­±O\3_^
]i®3^H›
d qd±3ng1Y$bcd3bpY´g†s3[O|·nk\  a!bc^HdO]/n^H]jy
ë À†ÁŽÂ,ï Ãtî Ä·Åzy
:
ö §ýZú÷møŽ>ú G=oýZöZ!þ …÷møŽú2øŽ#õ =>øŽöZ÷8ûmGý ‰öhó§üp÷møŽöZý†óøo=÷ ÿkžF1Zó2öZý†ó öZ>ø =oøoþ-þõ†ú $"$ õ:öZýT÷mø ‰
ö {
ê ö1õ†
ø>' Dõ =o!ó "$ÙýTö =oGø 3õ†öZ÷÷mýf3ó Z¨ø ,vGý "$"…#ý /‰ö s
þ3ÿ
ºT»
Vó ZøøŽöZ÷8û¹ýG‰ö†óDÿ8…þùÃõ†ú!2Høo÷}|mó3ZøŽö1øŽöZ÷I
q1N
ZøoóFÿ ª ó-ýÿk
s1N~AøŽòú ,výZú-ù õ%
þ &.'À"$ 1ö 2¯"#õ "«2,uúýTÏ
ù ÿ ª
u ê ,V%
ó Z*ø "#õ "«2嗨þ möZ%þ =>=oøoþ-þ ,À"L3ó ZøŽöøŽöZI÷ v1 ê ,V%
ó Z*ø "#õ "«2ÃøŽöZ÷mþõHóû¹Gý ‰ö†Dó ÿZ%ó ZøŽö“ùfõ†!ú 2 ÿ8/…ó%€.mõ†öZ÷øŽöZ÷I
w1N'%
ó ZøŽú /…þ-Gø 3þ-øoDó ÿ ª óýÙ%ó Zø:øŽöZ÷8ûmGý ‰öhóúøŽ#õ =>Zøo›
÷ ö“%ó ZÒø "#õ "«233ùfõ†ú!2:ÿ ª /…ó%j|õ†öZ÷
†ýó-ýfþ-ó-øŽ:
û sÓ
Äz]]®3^´^Hd±¤Xhrf]i®3^?g†sp³TXZ_bc]®3YEw2]®3^°]oghd©±O^HYÔ_i^H[^†gh]5n Y´g†3_ dm^†‚
± v XZ_ƒw&gh_^
[3svgZa!^­±¿bpdg¤n^H]°aHg†spsc^†„
± vFw y ä ^ça!svghbcY ]i®gh]En^Hƒ
] vFw)ruXZ_Y n“gY$bcd3bpY´g†s'[O|
n-\k´aŽbp^Hd8]n^H]j/y e'®3^Ù±Obxn-]bpd©a!]bcXZd$²^H!] `'^j^Hd$]og†d±O^HY _^j[ ^­gh]on'Y gh3_ dm^­…
± v ghd©± ]i®3Xmn-^
Y´g†3_ dm^†
± w `zbcsps²^^HÅO[,sxghbcd3^†±´bpd?]®,^d3^HÅ8]n-^†a!]bcXZdV.y ‚¯bpd,bpY´g†spbp]-qX†ir vFwôbvn:^†gTnq
]iX1^†n-]ogh²,spbxn-®Vy2¾3XT_'[3_ibpY$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]og†d±O^HY7_^j[ ^­gh*
] ï*ð wLghd±´]®g†] ðï bxnzg[3_bcY$bp]ibplm^
]5ghd±O^jY _i^H[^†gh]btrghd±´XZd3scqQb‰r ï*ð“bxnghsvnX?Æu]®3bvn0bvn0[3_iX†lm^†±$bpB
d …`3À§~Z …uÈoy ä ^fsp^†gHlm^
]i®3^ru\3spsL[3_XmX†r']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 ^g†sxnXÙa!svghbcY]®©gh]"]®3^_\,d3d3bpd,³Ã]ibpY$^Xhr Ä:sc³ZXT_bp]i®3Y€fbvš
[3_iX†lm^Hd´²Oq´g†d?^HÅ8]^Hdn-bpXTdQX†r ƒ^HY$Y (g „OwLghd©‘
± `'^fsp^†gHlm^]i®3^±8^H]og†bpsxnz]X.]®,^Ã_i^†gZ±8^H_Hy
Ä:svnX,wObpd.]®,^fng†Y$^:]ibpY$^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`zbcd3³‘dm^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$^#`z®,^H_^bcd wOruXZ_J ^ ºOw]®3^jd¯]®,^ < [c†‚ Y.\n[ ]g†sxnX.²^g]og†d±O^HY7g†__5g­q´bcdÊay
¬ ^Hlm^H_5nbpd,³Ã_iXZsc^†n!w8[ btr‚ ]®,^H_^bvn'd3XX8aHa!\,__^jda!^X†rÙ< bcd‘awO]®,^Hd$]®,^H_^fajghd3d3XT]:²^fg†d
X8aHaŽ\3__i^Hda!^X†r^ õ bcÊ
d ay
ƒ^HY$Y g1¼“]ibp³Z®8]scq°a!XZd3d,^†a!]onz]®,^1sp^jd3³Z]i®¯Xhr]i®3^1scXZd3³T^†n]]5ghd±8^HY&gh__5gHq¯Xhrš^/Ʌn
`zbc]® ]®,^?sp^Hd3³T]® X†r]®,^?spXZd,³Z^†n-]$]og†d±O^HY gh__5gHq Xhr ghd8q¿_iXZ]og†]bcXZdXhR
r ^/v ]i®3Xmn-^
sc^Hd3³Z]i®n1ajghd4±O¥b ¤L^H_Ù²Oqçg†]Y$Xmn-]fXZd3^myç¶d { ®gTn^°¶¶owV]®3^ ghsp³TXZ_ibp]®,YÔn-\aHa!^†ninbclm^Hspq
ruX8a!\©n^†n“XTd¿^†gTa‹®4Y$bpd,bpY<ghs"[O|·nk\  a!bp^jdO].]og†d±O^HY _^j[ ^­gh
] ^^Nbp7
d v/ww']i_q8bpd3³?]iX
ÂŽAB¼=B
ƒ
4a
º†€
d©±}]®,^Qsc^Hd3³T]®¿X†rf]®,^QscXZd3³T^†n].]og†d±O^HY g†__ogHq¤Xhrå^@ɗn!wzg†spXZd,³4`zbc]®¿]i®3^´sp^Hd,³Z]®
X†rz]®,^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:bcd•awVg†d±< bvnÃg†[ sxn-‚ XQbcdŠa}ruXT_f^†gZao®?_bc³Z®8]_XT]ogh]ibpXTda<4Xhr*^"wV]®3^
g†sp³ZXT_bc]®3YÞ±O^H]i^H_Y$bcd3^†n `z®,^H]®3^j_ ^ õ bxnbc‘
d aw3g†d±$]®3^Hd<\n^†nzgfY$X8±O«b q^†±“lm^H_5nbcXZd
X†rgfnk\ <Åm|scbp‰d d8`zg†os dÙ]XÙ±O^H]i^H_Y$bcd3/^ `z®3^H]i®3^HÙ_ < [ õ ‚ bxnbp›
d awZruXZ_"^Hlm^H_iqÃ[ _iXZ‚ ]5gh]bcXZn
d <¯X†r
^"y"µ'›
q ƒ^HY$[ Y´‚ g¼Owm]i®3bxn"[3_X8a!^­nn^jd±3n"gh]/gÃlTghsc\3^:X†Õr -`z®,^H_^§nXTY$D^ < õ Æubpda!sc\±Obcd3³
[Xmninbc²3spt
q ^ õ È"bxnruXT\3d±´]X.² ^fY$bvnn-bpd3³fru_XZ×
Y a'y
^ ^ ® ðC’wVg†d[‡ ‘
± `'
^ d8d3GX `N]®3^
ä ^d3GX `±8^Hlm^HspXT[¯]i®3bxn:bcd?Y$XZ_i^±O^j]oghbcsyfÄnin\3Y<(
[q‡
^Hd©±O[XZbpd8]bcP
d (fÆ a"È'X†r/n]_ibpd3¡
³ ^ Iw `z®3^H_R
^ DNº8Ew ^ó•æ ‡ õ ghdX
± ^ bxnz]®3^scXZd3³T^†n]
[3_i:^ qÅ?X†*r ^ [ õ ‚ ]®©gh]1X8aja!\3_onfg†dOq `z®3^H_i^“bc•
d a›
y ~^Hda!^ ® ^ b‰rghd©± XZd3scq?btšr ^ [ õ ‚
X8aHaŽ\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$X†r < õ ]®©gh]X8aHa!\3_5n0bcÊ
d ay ä ^±O^­na!_ibp²^®3GX ` ]i®3bxn
bvnz±OXZd3^ruXT_:]i®3^ q_on-]:_iXZ]og†]bcXZd´Xhr ^"w3by¢^mypwZruXT#_ < ® ’Kð y
\ $Åm|Çspbp£d dŠ`zg†os 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_|
g†dO]i^H^†±}]iX ²^°bpŠ
d (fÆ a"È5y ½:XZ]i^¯]i®gh]<±O\3_ibpd3³]i®3bxn.n\ $Åm|scbp‰d d?`zghss dA/w `'^°\n^°]®3^
n-]oghd©±3gh_5± !n dObc[ цa!XT\3d8]:]i_bx>a d›`z®3^jd?gh[,[3_XT[3_bvgh]^´ÆÇn^H^ g“Y$XT_^Ù±O^H]5ghbpsc^†±¯±8bxnaŽ\nn-bpXZd
bcdã` ^†a!]bcXZ
d „¹È5yz½:^HÅ8]Hw8]®3.^ `zg†os d´a!XTdO]ibpd8\3^†nz±OGX `zd°]®3^f]_i^H^.Ƒ^HÅ8[3scbxa!bc]spq.aŽXZY$[g†_bcd3³
ao®gh_5gZa!]i^H_onghscXZd3³]i®3^f[gh]i®AÈ"](X qd©± ]i®3^^Hd©±O[XZbpd8]'bcû
d (Ã!Æ aÈX†r2]i®3^spXTd3³Z^­n]z[3_i:^ qÅ
X†rYÆ ’Kð3È [ õ ‚ ]®g†]X8aHa!\3_5n:bpÏ
d ay ä ^ajghspsV]i®gh]§[ XTbpd87] *wLghsp]i®3XZ\,³Z®?bp]Y´gHq.d3XZ]²^ g
d3X8±8^bp,
d (fÆ a"È5y ä ^aHg†sps]®,bxn `zg†os d<(g ÈkmˆIml3j²«–‰ˆGm%Îf[i?>A@Gñ² –+ˆCBŠ$j²§B†y½:XT]^]®g†]'btræbp]
bvnn-]og†_]^­±$gh]]®3^^Hd±O[XTbpd8]X†r gÃ]5ghd±O^jY gh__5gHqmw3g†d±“btrL]i®3^_bc³Z®8]|Ç_XT]ogh]ibpXTd$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\ $Åm|Çspbp£d d
`/ghos d<bxn'bx±8^HdO]ibxaHg†s]X.]®3^Ùn]5ghd±,gh_o±°nk
\ <Åm|scbp‰d dR`zg†os dLy
[ ‚
eV\
X qd±¯]i®3^1scXZd3³T^†n][,_:^ qÅ´X†Nr < õ ]®g†]X8aHa!\3_5n:bpŠ
d aw3ruXZ7_ <4±O^ qd3^†±´²Oq´!] `'X
_ibp³Z®8]_XZ]5gh]ibpXZd<n]i^H[n+X†6r ^"wmnbcY$[3scqfn]5gh_]ru_XZY *1g†d±1^HÅ8^†a!\3]i^zghd,XZ]®,^H_2³Z^jd3^H_og†spsb rH^†±
n-k\ $Åm|Çspbp£d d•`/ghss dAyôW"XZd8]bcdO\3bcd3³bcd ]®3bvn<ruXT_$^HÅ,gZa!]ispq ç ^ ç ³Z^Hd,^H_og†spob rj^†±¿n-k\ $Åm|Çspbp£d d
`/ghos d,n!w3]i®3^g†sp³TXZ_bc]®3Y qd©±3n/ruXT_:^­gZao®¯_XT]og†]bpXT;
d <X†šr ^w3]i®3^1^Hd©±O[XZbpd8]bpû
d (Ã!Æ a"È'X†r
[ ‚
]i®3^“scXZd3³T^†n]Ù[3_^ qÅ?Xhr < õ ]®g†]1X8aHa!\,_onÃbc•
d at
y ‚¯XT_^HX†lm^H_jw ]i®3Xmn-[ ^ ‡ ç ^ ç `/ghss d3n^Hd±
^HÅ,gZaŽ]sp
q `z®3^H_^f]i®3^Hq´²^H³mg†dVwAby¢^mw3g†]]®,^Ã^jd±O[XZbcdO]bp¾
d (Ã!Æ aÈ"X†šr ^ y ä ^aHg†spsn-\a‹®
g.n^H_ibp^†n"Xhr"³T^Hd3^H_5ghscob rH^†±<nk\ <Ź|Çspbc‰d dR`zghss d3nzg.n\ $Åm|scbp‰d dg‡#¦ž‡:²omoy
q
ÂŽAB¼Œ‹·
ÙÆ ç ^ ç È']ibpY$^ y
€
Ä:d8qn\$Åm|scbpd‰daŽq3a!sc^mwn]5gh_]i^†± g†]¯]®,^ ^Hd©±O[XZbpd8]¯X†r^ [ ‡ w ]5gdm^†n
¾+bc_on-]Hw†]®3^a!q,a!sp^]_5gHlm^H_on-^†nA^HÅ,gZa!]ispq ç ^ ç n\k<Åfspbpd£d3nŽw†ghd±f]®3X n^"]_5g­lm^j_ong†sxn
]5gdm^›€ÙÆ ç ^ ç È]bcY$^my“` ‘
X `'^XTd3spq?®©g­lm^.]X°n-®3XG`ô]®g†]Ã]i®3^.dO\3Y.²^H_X†rzd3X8±O^ nd8bp[n
Ž‘|
ºž„
Æu\nbcd3³$]®,^n]5ghd±,gh_o±çn d8bpK[ цa!XT\3dO]§]_bvpa dÈowg†d±¯]®,^1d8\3Y“²^H_zX†r^HÅO[,spbxaŽbp]zao®g†_ogZaŽ]^H_
a!XTY$[g†_bxn-XZdn'bcd°ghspsL]®3^Ù±OXG`zdO|Ç]_5gHlm^H_onighsxnzbxn'²XT\3d±O^†±´²Oq
€1Æ ç ^ ç È5y
eVX¤a!XZ\,dO]]i®3^¯d8\3Y.² ^j_1Xhr d3X8±O^çn d8bp[©n!¨
w `^¯aŽXZdn-bx±O^H_.®3GX `Ñ]i®3^¯d3X8±8^!|-±8^H[3]®©n
ao®ghd,³Z^ÙgZn'[XZbcdO]5nzgh_i^]_5g­lm^j_on^­±$±O\3_ibpd3³.ga!q,a!sc^my ¬ ^†ajghspsL]®g†]z]®3^§d3X8±O^!|·±O^H[3]i®¯X†r
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\ $Åm|Çspbp£d d]_ogHlm^H_5ng†sA±8^†a!_^­gZn^­n]®,^:d3X8±8^!|-±8^H[3]®´²8q$g†]'Y$X n]"XZd,^mw3g†d±$^†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©± X†r2]i®3^fa!q,a!sc^bxn"^HÅ3gTa!]scq“]i®3^fnighY$^fgTn0bc]'bvnzgh]z]®,^fn]5gh_]jw3]®3^fd8\3Y.² ^j_X†r2d,X8±O^
!n dObc[n"aHghd3d,XZ]'^jÅ3a!^j^†±1]®3^d8\3Y“²^H_Xhr n-k
\ <Ź|Çspbc‰d d1]i_ogHlm^H_onighsvn!1w `z®3bxao®bxn2^HÅ,gZaŽ]spq ç ^ ç y
½:GX ``'^ a!XZdn-bx±O^j_]i®3^d8\3Y.² ^j_X†r^HÅ8[3spbva!bp]"ao®g†_ogZaŽ]^H_a!XTY$[gh_ibxn-XZdn±OXZd3^ ±O\3_|
bcd3³.ga!q,a!sp^my{"gZao®$³T^Hd3^H_5ghspsb rH^†±$n-k\ <Ź|Çspbc‰d d`zg†os d$^Hd©±3n]i®3^ q_on-]z]bpY<^g1Y$bxn-Y´gh]5a‹®
X8aHaŽ\3_onŽw¹®,^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_+X†r[ Y´‚ gh]5a‹®3^­n!w†_^†aHg†sp‰s `^gh_iÒ^ qd±Obcd3³ruXZ_"^†gTa‹®._XT]ogh]ibpXT¯
d <¯X†6r ^"wO]®,^:scXZd3³T^†n]
[3_i:^ qÅX†cr < õ ]®©gh]'X8aja!\3_on"bp‘
d ay ä ^²XT\3d±“]i®3^d8\3Y“²^H_ XhrY´g†]oao®3^†n+]i®gh]X8aHa!\3_
±O\,_bpd,³.ga!q3aŽsp^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$bcdO\©n Ž ç ^ ç (y e'®3^ dm^jqQXT²n^j_lTgh]ibpXZdçbxn]®g†]Ãb‰Zr ‰ø ® ‰ gHru]^H_ nXZY<^1³Z^jd3^H_og†spsb rH^†±
n-k\ $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|scbp‰d dt[ `zg†os dLy
¾3XZ_z^jÅ3g†Y$[3sp^ wZ[ btr‚ Æ ðC’VÈ [ ð´bxn']i®3^spXTd3³Z^­n]z[3_i:^ qÅ$X†rzÆ ðC’VÈ [ õ ‚ bpX
d awO]i®3^HdçYÆ ’Kð3È ¯bxng
[3_i:^ qÅÙXhr"ÔÆ ’Kð©È õ g†d±bp]2bvng†sxn-XÃbc›
d a/y e'®gh]"Y$^†g†dn+]i®gh]"btrL]i®3^H_^g†_^ 5 ao®g†_ogZaŽ]^H_
a!XTY$[g†_bxn-XZdnz]®©gh]Ùgh_i^1Y´g†]oao®3^†nz±O\3_ibpd3³ g ³T^Hd3^H_5ghscob rH^†±´n-k\ $Åm|Çspbp£d dV`/ghss dAw]®3^j
d ‰ø
gHru]^H_]®g†] `zg†os d´bxnz^HÅ,gZa!]ispq 5 ú É svgh_³T^H_]®g†d?² ^ŽruXZ_^]i®3(^ `/ghss dAy`mbcda!i^ £ø2Y“\n-]
²^²XZ\,d±O^†±´²Oq ç ^ ç w8]®3^]iXZ]5ghsVd8\3Y“²^H_"X†rY´gh]5a‹®3^­n
]i®gh]zX8aja!\3_±O\3_ibpd3³ ga!q,a!sp^bxn
²XZ\,d±O^†±´²Oq´º ç ^ ç y
µ
ä ^“d,X`ô[,_^†n-^HdO]f]i®3^$g†sp³TXZ_bc]®3Y ]®©gh]±8^†a!XZ_5gh]i^†nÃ]i®3^$n-\k<Å?]_^j^\`zbc]®ç]®3^$^jd±¹|
[Xmn-bp]ibpXZd©n“XhrÙg†spsz[3_ibpY$bc]bclm^]oghd©±O^HY gh_i_ogHq3nŽw'³Zbclm^Hd¤]®3^´^Hd©±O[Xmnbc]bcXZdn“X†rÙghscsz]®3^
]5ghd±O^jYÑ_^H[^†g†]on'ru_XTY7g1Y$bpd,bpY´g†s3[O|·n\k a!bp^jdO]/n^H]ivFw y
e'®3^^Hd©±O[XZbpd8]onzbp¾
d (Ã!Æ a"È'X†rzg†sps]®3^Ù[3_bcY$bp]ibplm^]og†d±O^HY7_^j[ ^­gh]on®gHlm^ghsc_^†gT±Oq
²^H^Hd´scX8aHgh]i^†±¯g†d±QY´g†3_ dm^†±.bpd { ®gTn^ ¶‹y ‚¯XZ_i^HX†lm^H_Hw8btr ^^bvn:g]og†d±O^HYÑ_i^H[^†gh]bpd
vFw ghd©±1bxnVY´gh%_ dm^†#
± vNwZ]®,^Hd1]i®3^H_^bxnnXTY$^'_ibp³Z®8]_XZ]5gh]ibpXZ:
d <6ª†XhÖr ^¯n-\ao®1]®©ghÙ] <6ª§<6ª
bvn0d3XT]bpÏ
d ay ~:^Hd©a!^f²OX
q ƒ^HY$Y g1¼“]i®3^H_^fbvn:d3X._bp³T®O]_XT]og†]bpXTa
d < Xhšr ^áÆubpda!sc\±Obcd3³
^2Èzn-\ao®Q]i®gh
] <*‘:bvn0bcÊ
d ay:` X“b‰Ùr < [ ruXZJ_ ^ºbxnzg]og†d±O^HY&gh_i_ogHq´bpX
d a4ghd©± <bvnzg
_iXZ]og†]bcXZd.Xh6r ^"1w `z®3^H_i*^ ^^¯bvn+bpj
d vFw wm]®3^HR
d ^6^¯Y.\n]²^:svgh²^Hsp^­V
± wy e'®,^'ruXZspscGX `zbpd3³
g†sp³ZXT_bc]®3YÑ_i^†n]i_bva!]ongh]]i^Hd8]bpXTd$]X.]®,#^ w svgh²^Hsp^­± ]5ghd±8^HY [ _i^H[^†gh]5n!wg†d¡
± qd©±3n']®3^
^Hd©±O[XZbpd8]on'bcû
d (Ã!Æ aÈ"X†r2^jlm^H_q.[3_bcY$bp]ibplm^z]5ghd±O^jY7gh_i_ogH¯
q < ruXZ*_ ^ ºOy
s
þ
¹
ºT¼
ë À†ÁŽÂ,ïÃtîķœ’
:
×8ýTú øŽõ#=>føŽöZ÷8û¹ýG‰ö†ó"ýD,æõzóiõhöZ÷møŽùú·øŽûmøŽõHó/t‰ö#”‚ùfõhú!2Høo÷l(Tþøoó m ó-ýŒoGmõ†öZ÷Ù÷mýó%Zø
,vý "C"…#ý /‰ö 3•
ý øŽûmøŽõ­ó
ZøoF
ó mVó-Œý m ë oG
°#õ "«28‰¯
ö )§+ü 6-,uúýTù 3ó ZøzøŽöZ÷.#ý ,6 [ ó-ýf3ó ZøzøŽöZ÷.#ý ,V%ó Zø "…ýTö †øoþ-ó'ûmúø30'ý#,Ö [ õ ‚ ó%mõHó
ý =>=mú/
þ ‰¯
ö )§+ü 6p á#õ "$"%ó mõHó"ûmý öhDó ÿ
~AøŽòú ,výZú-ù õ%þ &.'À"$ 1
ö 2¯=>ž=>"…ø:[ þ-‚ óiõ†úó ö 1õHó ÿfó-åý "—ý =ŽõHó-ø ‰¯
ö )§+ü 6+%ó ZøzøŽöZ÷8û¹Gý ‰ö†óþzý#,
>ø HhøŽú Ùóõ†öZ÷møŽùNõ†ú-úõ —– õ 3ó mõHó"ý =>=mú/
þ[ ‚ …šþ @ZøŽú˜ø –V—þzõfú $žhóúýhóiõHó!…ýTöÃý#,66
ø —þziõ – ü ûmý†þ-þ F"$›K23þ =º1%ó mõ­Tó – õ —þzöZý†/ó ‰\
ö /
öh!ó $"%ó ZøŽú·
‹·¨ö Ô
;›¿6¼‰Å®6Ã[¾òÃ:Ž‘f;›Å™·G¾5ÆÊ“
1
'®3^´^Hd©±O[XZbpd8]Xhr ^Hlm^H_qç]og†d±O^HY gh__5gHq_< [ ruXT_› n^7ºãbvn1spX8aHg†]^†±¤g†]“sc^†gZn-]XZda!^
²8qçÄ:sp³TXZ_ibp]®,YԄQ²^†ajgh\n-^vFw bxn[O|·n\k a!bc^HdO]jwghd± bc]fbxnspX8aHg†]^†± gh]fY$Xmn-]fXZda!^
²^†aHg†\n^vFwôbvn:Y$bcd3bpY´g†sy¶d?Y$XZ_i^.±O^H]5ghbpsÇw b‰rš^^ g†d±4^Eª«^Eª2g†_^]!`'X=wôY gh_3dm^­±
]5ghd±O^jYÖ_i^H[^†gh]5nÃbpš
d vFww]®3^Hó
d < bxn1g´_XT]ogh]ibpXTd}X†r§gh]ÙY$Xmn-]ÃXTd3^$X†r]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]ÃX†r^Hlm^H_q´]5ghd±O^jY gh__5gH;
q < [ ruXZ._ #^ º$bxn:scX8aHgh]i^†±?^HÅ3gTa!]scq´XZda!^²8q
Ä:sc³ZXT_bp]i®3Ì
Y „Oy µ'^†aHgh\©n^'X†rL]®3bvn d3XTdO|Ç_^†±O\,d±3ghd©a!qmwm]®3^]bcY$^ghdg†spq,nbxnXhræÄ:sp³TXZ_ibp]®,Y
„aHghd a!XZd©a!^Hd8]_og†]^n^j[gh_5gh]^jspqXTd1]®,^']bcY$^\n^†±ruXZ_^†gZao®f^HÅ8^†a!\3]ibpXZdfX†rLÄ:sp³TXZ_ibp]®,Y
„8w3by ^ ypwZruXZ_^†gZao
® w|svgh²^Hsp^­± ]5ghd±8^HYÑ_^j[ ^­gh]zbp=
d vFw y
e
.¾YBÂj2҂8ÅÀ›6¾5Æ6
^ ®gHlm^´ghsc_^†gT±Oq ^­n]og†²3spbvn®3^­± ]i®gh] { ®gTn^E¶ ]5gdm^†n\€ÙÆ b ÈÙ]bpY<^mwnXÏ`'^´g†dghscqkrH^
´
]i®3^´]bpY<^$\n^­± ruXT_$Äsp³ZXT_bc]®3Y „8y¿¾3XT_$g‘qÅ8^†±œw:|Çsxgh²^Hsc^†±]og†d±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_ong†s'X†rfg?n-\k$Åm|Çspbpd£d
a!q,a!sc^my2`mX3w\nbcd3›
³ ƒ^HY$Y g ¸ w ]i®3^f]bcY$^0ruXT_ghd°bp]^j_ogh]ibpXTdQbvÒn €ÙÆ ç ^ ç È5y
µ'qça!XTdn]i_\a!]ibpXTdVw2g†]Ã]i®3^´n-]ogh_i]1X†rz^†gTa‹®çƒ bp]i^H_og†]bpXTd X†r]®3^ ¬ ^H[^†gh] n]og†]^HY<^HdO]
ÀÆ `z®3^H_
^ bxnVn^j]2nig­qf]iX ‰ È5whbc]VbxEn dOd,X `zdÙ]®g†“] < bxnAbc\
d a“ruXT_+^­gZao®ÃX†rL]®3^ ç ^ ç _XZ]5gh]ibpXZd©n
<X†
r ^"y ~:^HdaŽ^mkw `z®3^jX
d 2bxnn^H]z]iX ‰ w ]i®3^f]bpY<^]X.^HÅ8^†a!\3]i^]®3^Ùn-]ogh]i^HY$^Hd8]on'bcdnbv±O^
]i®3^ ¬ ^H[^†g†]zn]5gh]i^HY$^Hd8]"aHg†d$²^ao®gh_i³Z^†±.]X1]i®3^ ç ^ ç ]og†d±O^HY g†__5g­q,n < ƒ y"¶·]2ruXTspspGX `n
]i®gh]]i®3^1]ibpY$^ruXZ_fÄ:sc³ZXT_bp]i®3û
Y „“bvn0[,_XZ[XT_]bcXZdg†s"]t
X Ž3w]®3^ÙdO\,Y“²^H_zX†r"[3_bcY$bp]ibplm^
]5ghd±O^jY7gh_i_ogHq3nzbpX
d aw3g†d±Q]i®3^f]XT]oghs]bcY$^zruXZ_z²XZ]i®¯[3®gTn^†nzbxÒn €ÙÆ b¡·ŽOÈoy
ä
ºm¸
# "$&z323-z
$
½:XT]^]i®gh]z]i®3^Ùgh²X†lm^fghsc³ZXT_bp]i®3Y7n-]ogh_i]on¨`zbc]®$]i®3^Ùn\k<œ]i_^H^ ±O^†a!XT_ogh]i^†±›`zbp]i®$]®3^
^Hd©±O[XZbpd8]onXhr/ghscs+]i®3(^ ”Kl–+—–o˜–+™Gm1]og†d±O^HY&_^H[^†g†]on:X8aja!\3__ibpd3³<bpd4awVg†d±Vqd±,n:]®3^
^Hd©±O[XZbpd8]on"Xhr g†sps]®3^[3_ibpY$bc]bplm^]og†d±O^HY g†__ogHq,nX8aHaŽ\3__ibpd3³Ùbpt
d a'y'` bpY$bcsxgh_ispqmw†btræXZd3^
n-]ogh_i]onz]®3^Ùg†sp³ZXT_bc]®3Y `zbc]?
® j²o²]®3^f]5ghd±O^jYÑ_^H[^†g†]z^Hd±O[XTbpd8]on'Y´g†3_ dm^†±AwmXTd3^1³T^H]on
g†sxnXç]®,^Q^jd±O[XZbcdO]5n1XhrÙg†sps']i®3^´]og†d±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
ž
bcd3^†gh_-|]ibpY$^±8^†a!XZ_5gh]ibpXZd<Xhr ]®3^§n\k<Å.]_^j^:X†r¨aX`zbc]®$]i®3^^Hd©±O[XZbpd8]on"Xhr]i®3^(€ÙÆbVÈ
]5ghd±O^jYÔ_^H[^†g†]]-qO[^†n1[3_iX†lObv±O^†ng?a!XTY$[gZaŽ]1_^j[3_^†n-^Hd8]ogh]ibpXTd}X†rfg†spsz]i®3^´]oghd©±O^HY
_i^H[^†gh].X8aHa!\3_i_^Hd©a!^†n.ghd±¿]5ghd±O^jY _i^H[^†gh].]-qO[^†nbpd gn]i_bcd3³3’
y ‚?ghd8q¤[3_XT²3sp^jY´n
a!XTda!^H_id3bpd,³?]oghd©±O^HYÔ_i^H[^†gh]5n“aHg†d¿]i®3^Hd¤²^¯^†gTnbpscq¤nXTsplm^†±\n-bpd3³ç]®,bxn±O^†aŽXZ_og†]^†±
n-k\ $Ű]_i^H^mw_^†n-\3sp]ibpd3³$bcdçghsc³ZXZ_ibp]i®3Y´n `z®3bxao®çgh_i^.gZn0rÇgTn]HwgTnÃn-[gZaŽ^:^ ´aŽbp^Hd8]fÆg†d±
n-bpY$[3sc^H_!ÈæXZ_'rÇgZn-]^H_jwOXT_'Y$XT_^§n[gTa!^f:^ ´aŽbp^Hd8]HwZXT_'²XZ]i®Æu²3\3]'[^H_i®gh[©n'd3XZ]n-bpY$[3sc^H_!È
]i®ghd°[3_^Hl8bpXT\nscq“[,_XZ[X n^†±?g†sp³ZXT_bc]®3Y´nŽy
¶Y$[3sc^HY“^jdO]5gh]bcXZdn1X†r]i®3^g†sp³TXZ_bc]®3Y n“±Obvna!\©nn^­± bcdá]i®3bxn“[©gh[^H_çÆg†d±áXZ]i®3^H_
g†sp³ZXT_bc]®3Y´na!XZd©a!^H_d,bpd3³_i^H[^†gh]5n‹È/aHghd´²^ÃruXT\3d±´gh][v
ƒ
½
³ ®°¯ «*¨²±­³¬¤3´¶µ3¬«>· ¯ ±3¸­¤:«¹ 3º¼»
Ÿ3 3 ¡£¢¥¤3¤§¦¦3¦©¨¥ª:«*¨[¬0ª­ >
Ú7R1ÚJS@Ú8PXYÚ
³ N¨aŸ3 ³»¸
K
¿¾ {TÀ³Á …¾#©¾ÃÄÅÇÆ²Ä§ÈcÉÊXĂ˶ÌÍpΠ{  {PÏÑÐ ÃË Ï Ë¶Æ¥ËÂÓҏÃ:ƲÉcԅ˶ÈNĤÕ,ÈcÉRÌ Ð Í Ð Æ Ð Ê^ƲÉRijÌÄ>Ö
„ Ü ã à À§Á Â
ÏÑРà РƲÉRƲÉcħÌÅÉc̃ËÅÇÆ Ï ÉRÌ0×0Â}Ø¢Im%†1l¹ÙPÚ/†1—Ò”Ki1˜LÙxÛK‡[–aÙÝÜÞ³ÞkvßÞ³àá^â Á3ã 3
ä©åà>æ³çèmÂéä Ï Ä3Êëê Ð ÔjÄ ÏÑÐ Ë>ÌÍ ä
üPϲРŲÅ^Üý йþ7ÿ Ä Ï Ü0ý ÿ
ä Ï Ä À3ã ç
ÉRÌË
ä Ï Ä À§Á ç
Â0åNìÆÑÆ Ð¹Ï Â—ØíZ@>îTï˜ðeñòóXôcîõ:ö—÷XÂTҘø¼ÖùÄ Ï ÍjúÌ:Écû Ð¹Ï ÅLÉcÆÇì
Ü ã à§à¶æ0Â
èm¼ä Ï Ä3Êëê Ð ÔjÄ ÏÑÐ Â3¾Ì#ħÃ0ƲÉRÔ˶È3Ë>Èc×³Ä Ï ÉRƲê0ÔÖùÄ Ï Ê^ijÔjÃ0ƲÉRÌ0׏ÆÑê ÐÏÑРà РƲÉRƲÉRijÌÅ
þ Ä Ï Í°Â>Ù
£ó²ò^í²÷÷>ÙWPíîùîLÙÝÜ ã ÞÞ>æ³æ¶â¼Þ0Ü ã à À3ã Â
èm ä Ï Ä3Êëê Ð ÔjÄ ÏÑИå Ð Êê Ð¹Ï Êëê Ð ÈcÉRÌÐ Ë¶É Ï²Ð Í0Ì%Ê¹Ë ÏÑÏ Ð Í0˶ÌÅ0̃ÔjÄ³Æ ÂjÚÙÙ
ï "!$#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^ƒذõíÑòó Ù©ÚTòö/.%0îLÙ*Û%¹ôaÙÝÜ
æ1+'* Á â À *Ü ã à À *Â
ÎéË Ï àá¹çèmÂ3ÎéË Ï Ë§ÊëêxÂ*ҏÃ:ƲÉcԅ˶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$0;#Ù*ÚTòö/.%0îLÙÛ% ôaÙ'&>=)?iÚ5ÛA@;B¹Ü¶ÃË>× Ð Å ã Á á^â ã æ Á Ü
ý Ð þ7ÿ Ä ÏC Ü:ý ÿ
Ü ã à³àáÂ62D(D(D
üPϲРŲÅ^Â
ÎFE3à À ç¾#ÂEÂÎ Ï Ë Ð Ì Ð È9˶ÌÍHG0ÂEÉcÔjà ÅLijÌ9ÂJIÄ þ
ÔË>ÌìŠÅK$Ë Ï²Ð ÅNʹË>Ì=Ë}ÅLÆ Ï ÉcÌ:×}Ê^ijÌÕ
ƥ˶ÉcÌ%LNMéÙTÚTòöPO>ُذõíÑòóQ<—ÛxíXó¹ÙxïiÜ À Þ+ ã³ã Þ¹â ã ÞÜ ã à³à À Â
'R Ųà¼á çPS# R ÅT Ð ÈqͰÂï˜ðeñòóXôcîõ:ö—÷Nò$#Ûî,ó^ôU§ñ¶÷"&NØ:óëíí²÷"&V!$;#ÛxíCWX00íQ;^í²÷YfÚTòö/.%0¼îÇíXó
Û% ôaíQ;^íZ!$;#=ÚTòö/.%0¼î[!³î,ôò$;!³ð>\˜ôò³ðòëñ1<¶Â—ä©Ë>Ô]4 Ï ÉÍ3× Ð úÌ0ÉRû Ð¹Ï ÅÇÉcÆÇì
ÿ Ä ÏC Üý ÿ
üPÏÑРŲÅXܰý Ð þ
Ü ã à³àáÂ
^_^ à À çå—Â ^ ħÈcÃË
Ä>ûË¶Ì Í
R
 ^ Êëê Ð¹Ï Ä>ûÂè=˶ø3ÉcÔË>È ÏÑРà РƲÉRƲÉcħÌÅ5ÉRÌ
ÆÑÄAT ÌÍ=˶ÈRÈTÅK$Ë ÏÑÐ ÅiÉcÌ=ÈRÉcÌ Ð Ë Ï ÆÑÉcÔ
þ Ä Ï Í0ÅPÄ Ï ê0Ä þ
Ð Â`, Ð Êê0Ì0Éqʹ˶È*å Ð ÃÄ Ï Æà À ÕoåÕÇÞ§Þ¼áÜaxÒ å-6Ǿ#Ü
ã à³à À Â
^ Ä Å²à>æ³ç]E ‚å—Â
^ Ä Å²Ë Ï ËXbxÂ
äTijԊÃ;0ÆË>ƲÉRijÌ
ĶÖ(ÅCK Ë Ï²Ð Å
ÉcÌ
ËÅÇÆ Ï ÉcÌ0×:Â
6oÌ
èmÂ0ä Ï Ä3Êê Ð ÔŠÄ Ï²Ð Ë>ÌÍcS# R ÅT Ð ÈÍÜ Ð ÍÉcÆÑÄ Ï ÅXÜ*ÚTòöPO¹ôU;!³î,òó^ôU!³ð;
)!³îaîÇíXóQ]de!³î[ëõf
ôU³ñY-g³îõï:;;0!³ðÛ%<§ö/.0ò¶÷ ôU03ö_&TÚ>
(dh@Xi°Ù3ï÷ ôcðòöP!ó& Ú(!³ðÝô òój:ôU!5&7M;0éí-k@$@Xi°Ù
£ó²ò^ííC#ôU³ñ>÷XÜéÌ0Ôl4 Ð ÏiÀ ¼ájÉRÌma Ð Ê^ÆC ϲÐ
ýÄ§Æ РŘÉcÌmäTijԊÃ;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 ¾ÌŠË¶Èc×§Ä Ï ÉcƲê:Ô
ÖùÄ Ï Ë>Ã0Ã Ï Ä¶ø3ÉcÔ…Ë¶Æ Ð Æ¥Ë¶ÌÕ
ϲРà РË>ÆÅXÂ;6[̾#Â>¾ÃÄÅÇÆ²Ä³ÈRÉÊ^Ä:Üèm³ä Ï Ä3Êê Ð ÔŠÄ Ï²Ð Üq* R Ë>ÈcÉRÈ[ܧ˶ÌÍú#Â>è=˶Ì4 Ð¹Ï Ü
Ð Í3ÉcÆ²Ä Ï ÅXܰÚTòöPO¹ôU!³î[òóXôU!³ð
)!³îùîLíëójrde!³î[ëõ:ôU³ñ+Ysi0îõ—ï:;0+!³ð3Û%<³ö/.:ò¶÷ ôU03ö_&PÚ>
(d
@$8Ù;
)!$#ò$tX!5&¥î!³ðu<X&JM0éík@$@$8Ù;
£ó²ò^ííC#ôU³ñ¶÷XÜ>Ì0Ô]4 Ð¹Ï * À æ#ÉRÌca Ð Ê^Æ Ï²Ð ýÄ§Æ Ð Å
ÉRÌuäTħÔjÃ;0Æ Ð¹Ï E¼Ê^É Ð Ì Ê Ð ÜÃ Ë¶× Ð Å ã Þ â ã¹Á§Á Ün Ð¹Ï ÈcÉRÌxÜ ã à³à Á Â>E Ã Ï ÉRÌ0× Ð¹ÏoTÐ¹Ï ÈË>×0Â
aqxá*¶ç¾#Âa Ð Ôjà РÈ9˶ÌÍvG0ÂqÉcûÂÒ˜ÌÆÑê Ð
ÊXijÔjÃ0È Ð ø3ÉcÆÇìĶÖJT Ì0ÉcÆ Ð Å Ð K Ð ÌÊ Ð ÅXÂ/w(w(w
Ø:ó!$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 ÖùƲԊÄÅLÆÔ…˶ø3ÉcÔË>ÈÃ Ð¹Ï ÉRÄ3ÍÉÊXÉcÆ²É Ð Å^Âyzô‰÷{¹óíîLí
ï|.$.ðÝôaíC#]de!³îõíXöP!³î,ôUë÷XÜÞ ã æ1 â ã Á Ü ã à À àÂ
è=ʶäNá*>çrDNÂxèmÂ*è=ʶä ÏÑÐ Éc×§êÆ Â¾ÓÅLÃ Ë³Ê Ð Õ Ð Ê^ħÌ0ijԊÉʹË>ÈTÅ}+3ŠøÆ ϲйÐ
×§Ä Ï ÉRƲê0Ô
è~a À æ³çèm R
Ê^ħÌÅLÆ Ï Ê^ÆÑÉcħÌmË>ȉÕ
ÂMÙ°ïÚ>d=ÜÞ Á [Þ$"ßÞ*³Þ¹â3Þá>ÞÜ ã à¼á*3Â
Âè=˶ÉcÌ
˶Ì̓å—Â%G0ÂaÄ ÏÑÐ Ì3ÆÂN¾˜Ì~€‚ÈRij×)‚V£Ë¶Èc×§Ä Ï ÉcƲê:Ô
ÖùÄ Ï T ÌÍÉcÌ:×
Ë>ÈcÈ Ï²Ð Ã Ð Æ²ÉcÆÑÉcħÌÅÉc̃ËÅLÆ Ï ÉRÌ0×0Â-MéÙï˜ðeñòóXôcîõ:ö—÷XÜ+ æ Þ³Þ¹âæ Á ÞÜ ã à À æ:Â
è~a À ¶çèm R
Â3è=˶ÉcÌŠË¶Ì Íjå—ÂG0Â+aÄ Ï²Ð Ì3Æ Â>aÉcÌ Ð Ë Ï ÆÑÉcÔ
ЩϲРÊXij׳Ì:ÉcƲÉRijÌ}Ä¶Ö ÅK$Ë ÏÑÐ Ö Ï²Ð¹Ð
ÅÇÆ Ï ÉRÌ0×ÅXÂ;6[̾#Â>¾ÃÄÅÇÆ²Ä§ÈcÉÊXÄiË>ÌÍ]q* R ˶ÈcÉRÈ[Ü Ð ÍÉRÆ²Ä Ï Å^ÜÚTòöPO¹ôU;!³î,òó^ôU!³ðï˜ðeñòóXôcîõ:ö—÷
ò$yƒòóC#¶÷XܰûijȄ0Ô
Ð
Î ã ÞAÄ>Ö`…ïlØ(?
ï˜Û;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>Ì͆EÂsDPû Ð ÌxÂmaÉcÌ Ð Ë Ï
Ê^ħÔjà ÏÑРŲÅÇÉcij̊ûÉqËÅLÆ Ï ÉcÌ0×}ÔË>ÆÊê0ÉcÌ0×:Â(MéÙ°ïÚ>d
E R à À ç‡G0Â>EÆÑĶì Ð
ÄÅ
Í0˶ƥË
ÜÞ À ã ã * â3Þ>æ0Ü ã à À3ã Â
Ë¶Ì ÍmS# R ňT Ð ÈͰ‰EÉcÔjÃ:È Ð Ë¶ÌÍvŠ Ð ø3ɋ40È Ð
ϲРà РË>ÆÅ]ÅÇÉcÌ0×
˶ÈR×³Ä Ï ÉcÆÑê0ÔÖùÄ Ï
Í Ð Æ Ð Ê^ƲÉRijÌ=Ä¶Ö ÊXijÌ3ƲÉc×Õ
ËmÅ}+3ŠøœÆ ϲйРŒ6[ÌpèmÂÎË Ï Ë³ÊêxÜ Ð ÍÉRÆ²Ä Ï Ü}ÚTòöPO¹ôU;!³î,òó^ôU!³ð
)!³îùîLíXóQde!³î[ëõ:ôU³ñ+Y‡@³îõƒï:;;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
@$9Ù
Nô‰÷{"!³î[!$ŽJ!$<X&…íQŽ
ÉRÌ~a Ð Ê^ÆC ϲРýÄ§Æ Ð ÅNÉcÌ
äTħÔjÃ;0Æ Ð¹Ï E3ÊXÉ Ð ÌÊ Ð ÜÃË>× Ð Å ã æ1 â ã ³Þ3Ün Ð¹Ï ÈcÉcÌ9Ü ã à³à À Â>EÃ Ï ÉcÌ:× Ð¹ÏoTÐ¹Ï È˶×:Â
ú + à>ç`DN˜ú + Ä§Ì Ð ÌxÂ
ҘÌÕ,ÈcÉRÌ Ð
ÊXijÌÅÇÆ Ï Ê^ƲÉRijÌpĶ֊Å}3jøÆ ϲйРÅXÂ
ï˜ðeñòóXôcîõ:öôU"!³Ü
ã æ;Þ>æà¹â3Þ*Ü ã à§à3Â
’‘
Ð ùÉ á Á ç ü  ‘
Ð ÉcÌ Ð¹Ï Â/aÉcÌ Ð Ë Ï Ã˶ÆÑÆ Ð¹Ï ÌÔË>ÆÊê0ÉcÌ:×}˶Èc×§Ä Ï ÉcƲê:ÔÅ^Â6[Ìew(w(w“kQi0îõï:+f
;0!³ðé۔<³ö/.:ò¶÷ ôU0öÓò$jÛ%ŽPôcî[ëõ:ôU³ñ‰!$;##ï:0î[òöP!³î[!uذõíÑòóQ<¶Ü§ÃË¶× Ð Å ã â ã³ã •62D(D(D
üPϲРŲÅ^Ü ã à¼á Á Â
Á