Invariant of a Pair of non-Coplanar Conics in Space: Definition

Invariant of a Pair of non-Coplanar Conics in Space:
Definition, Geometric Interpretation and Computation
Long Quan
To cite this version:
Long Quan. Invariant of a Pair of non-Coplanar Conics in Space: Definition, Geometric
Interpretation and Computation. 5th International Conference on Computer Vision (ICCV
’95), Jun 1995, Cambridge, United States. IEEE Computer Society, pp.926–931, 1995,
<10.1109/ICCV.1995.466836>. <inria-00590054>
HAL Id: inria-00590054
https://hal.inria.fr/inria-00590054
Submitted on 3 May 2011
HAL is a multi-disciplinary open access
archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from
teaching and research institutions in France or
abroad, or from public or private research centers.
L’archive ouverte pluridisciplinaire HAL, est
destinée au dépôt et à la diffusion de documents
scientifiques de niveau recherche, publiés ou non,
émanant des établissements d’enseignement et de
recherche français ou étrangers, des laboratoires
publics ou privés.
!"#$&%'!()+*,(.-/01243
5
(67(.1
821(9
(.:;1<=&">67?:;1
@BADCFEHG/IJK
L.MON;MOPRQSUTWVXYQMZTVMOP[
\D] [
^`_ba`cedDa'Nfahgjilk4mWin^oglglahp`[
qbrsq
tuwv a`cDxeyDgla[fN v ^bcDzha
{;|}^~ijgOL:xecD€1ƒ‚'d
^c
„in|}^o€1 … v
†'‡Bˆ‰ Šh‹eŒ‰
ސ‘
’0“`”l•o–1”l•o—`˜h™š”›˜•o–Zœ
“h
˜;žD˜h”l™1“ŸŒh D¡:¢£‹¤:‹Š¥“¦•”l¥œ:e˜hœ:§D‘‘•'¨”l©‘ªl«¬œZ‘2©'”j•U™Z‘¥‘2•–.—”lœš”j“¦•ªl”l–Z‘™0˜h–Z¬b™Z‘`­
®O•w–š”lœže˜hžD‘™ ¯e–š‘˜hªl°`‘2§™±˜”j¥²”l•—`˜™Z”n˜h•o–“hB˜že˜h”l™“hF¤: D¤f³´Œh D¡:¢£‹b¤F‹bŠ;¥“¦•”l¥œ;”l•wœšže˜h¥2‘”lœ¥“`•¥2‘™Z•‘2©1­
ސ‘˜hªl°`‘§b™±˜h”l¥B”l•o—`˜h™š”n˜h•o–
“he˜²že˜h”l™f“he•“¦•oµO¥“`žªn˜•e˜h™
¥“¦•”l¥œ:”lœ1¶D™ZœZ–:©‘2™Z”l—`‘©U£™š“`·+–Zb‘9”l•o—`˜h™š”›˜•o–1˜hªl°`‘§b™±˜
“h;˜že˜h”l™“¹¸o¬e˜–Z‘™š•e˜h™š«º¸o¬e˜©™±˜–Z”l¥£“¦™Z·wœ²§o«º¬œš”l•°–Z‘'©¬D˜hª™Z‘ž™š‘œZ‘2•–0˜h–š”j“¦•»“¹œšže˜h¥‘¥“`•b”j¥2œ¼­Ž‘•1¯
–Zb”jœ;˜ªl°`‘§™0˜h”l¥”l•—`˜™Z”n˜h•o–”lœ;°`‘2“`·w‘2–Z™Z”l¥¼˜ªlªj«'”l•o–Z‘2™Zž™š‘–Z‘©½”l•–Z‘™š·wœ;“B¥™Z“¦œZœOµO™±˜–Z”l“`œ ­;¾f”l•e˜hªlªl«¯o˜h•½˜h•e˜ªj«o–š”j¥ ˜hª
ž™š“¥2‘©¬™š‘;¿“`™ž™Z“¼’´‘¥–Z”l—¦‘™š‘¥“¦•œZ–š™Z¬¥–š”l“`•“hF˜UœZže˜¥‘¥“`•b”j¥À£™Z“¦·–O¨9“¬b•¥¼˜hªl”l§™0˜h–Z‘2©w”l·/˜°`‘œB”lœB©b‘—`‘ªl“¦že‘©
˜h•b©w–Zb‘¥“`™š™Z‘œšže“¦•©‘•b¥‘'¥“`•b©”l–Z”l“`•œ“hB–š‘¥“`•”l¥œ§D‘–O¨‘‘•½–O¨9“—o”l‘¨œ;˜h™š‘W˜hªlœZ“‘Áožªl”l¥”l–Z‘©f­
Â:Áože‘2™Z”l·w‘•o–0˜h–Z”l“¦•œ:£“¦™9–š‘;©”lœš¥™Z”l·w”l•e˜ªl”j–O«“F–Zb‘;¥“¦™Z™Z‘2œZžD“`•©‘2•¥‘¥“`•©b”j–š”l“`•œ˜h•©–Z‘˜h¥¥2¬™±˜¥«/˜•©
œZ–0˜h§”lªl”l–O«}“h;–š‘wžb™Z“¼’0‘2¥–Z”l—`‘™Z‘¥2“`•œš–Z™Z¬b¥–Z”l“`•˜•©Ã“h;–š‘w¥“¦·wž¬b–±˜h–š”l“`•½“h;–Zb‘w”l•o—`˜h™Z”n˜•–˜™Z‘w¥2“`•©¬b¥–Z‘©
§D“`–Z£“¦™9œš”l·'¬ªn˜h–Z‘2©w˜h•©™Z‘ ˜hª1”l·˜h°`‘2œ¼­
ÄÃÅDÆ+Ç/È:ÉoÊ9ËbÌ;ͦÎ1Ï
Ð1ÉoÑnÐ:ÎfÒÓ;Ô½ÅeÈ.ÕÖÅDÒ`ɦÆFÓÀ×ÙØ:ڍşÛoÒ½É`Å
ÛoÈfÜBÎBÑnÒ`ÑÝÈBΐ
t
Dap¼d½xo…9inc_o^ v in^cbp
^ v ahzha`cp2g! v xo_x#"~a$Y|dDz$½i›cbpa v a$2pinc p%Da'zhxe|&
dDpa v _Di'ilxecÃzhxe|!|/d
cDilp([incDzha
ilpi'W
z v dDzhin^og.…Ox v p%Da)
ah_ahglx#
|a`cbp'xo…¹a+*½zhija`cbp v ahzhx€ecDilpilxec,pa`|- … x v |x#
ahgy
^a$4_ei'ilxec:P € v a`^op
a`^og
x~…/
. x v
" xec v ahzhx€ecDilpilxecÃ^c!%
^0
a
a$2 z v i1Dpilxec»dincD€}incb_^ v i›^bcp
^^og v a`^Ãy
aha`c v a2
x v pa$B[D…Ox v incp¼^cDzha
35476 p%D aWzhxbgjglahzhpilxec4y
xDx#"98;: ]=< /> x?2 pxo…Bp%D aWincb_^ v i›^bcp8 t¦s [ q?@ [ q] [ q [#:?DA [: @7< ^ v a
a v il_a$!…Ox v Dgn^c
^ v xeyCB±ahzhp
d2 i›cD€½€ahxe|Ùahp v ilz'a`cp2ijp2ija$D¼ dDz$Ã
^ xincp¦ [
gli›cDa$'
^c4
zhxecDilz$
… v xe| xecDa incD€glai›|!^o€aF'
E cDaxo…¹p+D aw|x?pda$
Dgn^c
^ v inc_o^ v in^cbp}
i'º
p+D a-±B xincbpi›cb_^ v in^cpº
xo…'^G
^oi v xo…HDgn^c
^ v zhxecDilz$I8 t`s7< +XDxe|aÃxo…Wp+D a»^ogl€a`y v ^oilzÖ^bc
€bahxe|ahp v ilz v x
a v pila$
xo…p%D a$ a'inc_o^ v in^cbp'
^ v a…Zd v p%D a v zhgn^ v iK1J a$ incG8;: \ [:?A < 
N1xglglx
. incD€Ãp%D ain|&
x v p¼^cbp v a$¼ dDglp'
xo…NF^dD€a v ^L8 ]=< ^bcN
M ^ v p2gja$PO=QSR0T 6 8 t2@7< zhxecDzha v cDincD€»p%D a& v x0±B ahzhp2ij_ba
… v xe| p%D aa2Di1
xgn^ v €ahxe|ahp v /
x~… p+D aWp(
. xwd
cDz`^ogliny v ^opa$Ã
in|}^o€ba$` [Dp%D ainc_o^ v in^cbp
v ahzhxec p v dDzhp2ijxDc}xo…/ xincpU ahpÀ
…Ox v p%D
azhxec01J €Dd v ^opilxec²
xo…V xincp;
^bc}
gli›cDa$
inc-%
^~zha… v xe|Rp(
. x'd
cDz`^ogliny v ^opa$½
in|}^o€a$F
^¦_ay aha`cinc_a$2 pil€e^opa$
incP8 t [ th\ [ t D
: [ t`qW< &D ainc_o^ v in^cbp
… v xD| p% v ahax v |x v aºd
cDz`^ogliny v ^opa$ in|}^o€a$-
^`_baÙ^~g2 x»y
aha`cX p¼d
ila$
inc
8K: r7< ^cG8;: q7< 
MZc p+D
i
^0
a v [
. a& v x#
x0 apx! p¼d p%D ainc_o^ v in^cbpw
x~… ^!
^oi v x~…HYZ0Y[ 3 Z+\T'R?YR?
] zhxDcDijz$
incG%
^~zha… v xe|
p(
. x»d
cDz`^ogliny v ^opa$+
in|}^~€a$` ID a9o" a$ i
a`^օ x v zhxD|&
dDpincD€ i›cb_^ v in^cpw
… v xe| p(
. xÃin|}^~€a$
i
p%D aÃd aºx~… p+D a
a2Di1 xgn^ v €ahxe|ahp v }
xo…p%D a'p(
. xÙd
cDz`^~gjiny v ^~pa$ i›|!^o€a$` FD i
^¼ d
|&Dp2ijxDcÃi' pilglg|}^oincp ^oincDa$»
incÃp%D i'
^?
a v 
Da½€ahxe|ahp v ijz½inc_o^ v in^cbp}xo… ^^
^oi v x~… cDxecbQZzhx#Dgn^c
^ v zhxecDilz$_
^)J v p}y
aha`c+|Ùa`cpilxecDa$+inc`8 t`q7< ^wilgƒQ
gndp v ^opa$
incNil€ed v a t aDi'4€ahxe|ahp v ijz incb_^ v in^cbp»i'4_a v b2i›|Dg[y
dDp»d
cb…Ox v p¼d
c
^op2ahgi'»cDxp!
i v ahzhpg'
zhxD|&
dDp¼^yDgla MZc p%Di'&
^?
a v [¹^bc^ogl€a`y v ^oilzÃi›cb_^ v in^cpxo…W^^
^oi v xo…WcDxecbQZzhx#Dgn^c
^ v zhxecDilz$/incc%
^~zha_.ilglgy
a
a+F
J cDa$H
… v xe| p%D aº^~gj€ba`y v ^Ãxo…incb_^ v in^cbpxo…dŸd
^op2a v c
^ v ,dŸd
^ v ^opilz…Ox v |-`[.p%Da`c ilp v ahgn^opilxec%Di1X.ilp%p+Da
€bahxe|ahp v ilzinc_o^ v in^cbpSU
. ijglg9^~g2 xÙy a'a$ p¼^yDgli'%D a$B
[e 6 O 6 p%Da ^~gj€ba`y v ^oilzWincb_^ v i›^bcpi'€ahxe|Ùahp v ilz`^oglg'ºincbpa v v ahpa$Ãinc
p2a v |-;
x~…9z v x?´ Q v ^opilx?f.D ilzg9
a+F
J cDa'p%D a€ahxe|Ùahp v ilzWincb_^ v i›^bcp`fD i'S2 p¼d}i'inc%Di v a$»y0}p%Dag›^hpzha`cp¼d v ij
|!^op%D
a`|}^op2ijz`^~g/
ah_ahglx# a`|a`cbp/xDc»incb_^ v i›^bcp'
x~…p%D a-
d d
^ v ^opilz…Ox v |kL8 @ [ \ [ qq [ q~\ [ t¦]$< wPD'
p%D a}^ogl€a`y v ^oilz
2p v dDzhp¼d v a'x~…À^y2 xgndDpawincb_^ v in^cbp
i' |dDz$Ã
|x v a'zhxe|Dgjilz`^op2a$Ö
p+
^c½p%
^opx~… v ahgn^op2ij_bawinc_o^ v in^cbp` [fp%D aw|}^op+b Q
a`|!^opilzhin^cH
^¦_aw|!^oincDg y
aha`c zhxecDzha v cDa$^
. ilp%½
p%D a v ahgn^opil_awincb_^ v i›^bcp'
^cI
^¦_a
^oi' glilppgla/^op2pa`cp2ijxDc!… x v
p+D
aw^y xgndDpai›cb_^ v in^cp.D ilzg ^ v aWp%D a|x? pd a …ZdDg:…Ox v zhxe|
dDpa v _Di2 ijxDc:
P…Opa v %p D
a +a JFcDilpilxec½xo…B%p Da'^ogl€a`y v ^oilzinc_o^ v in^cbp`[Dijp v a`|}^oincpxzhxe|&
dDpailpa+lBahzhpil_ahg'… v xe| p(.xwd
cDz`^ogliƒQ
y v ^opa$in|}^o€a$`Ppp+Difp¼^o€ba[`p%DaD"oa$wx# a v ^opilxeci';p+Da v x?B0ahzhpil_a v ahzhxec2p v dDzhpilxecxo…:p%Da%
^ozhazhxecDilzU… v xe|
p(.xºd
cDz`^ogliny v ^op2a$Öin|}^~€a$`E'cDzhap%Da- v x?B0ahzhpil_a v ahzhxecp v dDzhpilxecÃi'D
xecDa[:p%Dawincb_^ v i›^bcpz`^c y
azhxe|&
dDpa$
inc 9
^ p v ^oil#
€ p´… x v . ^ v _.=^ P8_a v !in&
| Dglaº^c
^og'Dpilz`^og;|ahp%Dx4… x v v x0B±ahzhpil_a v ahzhxecp v dDzhpilxec4xo…;zhxecDilz$winc
+
^ozha .ilgjgy
&
a ah_bahgj
x a$ i›c %p D'i ^?
a v &
 Da v ahzhxe
c p v dDzhp2ijxDG
c
v xDzha$1d v a}i''a$a`cbpin^oglg'gli›cDa`^ v inc p%
^op'p+Da
p(.
x 2xgndDpilxe
c xo… v ahzhxe
c 2p v dDzhpilxec½^ v D
a xgl_$a Ãpxb€ah%p Da v .Uij+p }xecD'g ½gli›cDa`^ v zhxe&
| dDp¼^~pilxec:F
 E'cD'g º+p DaWahkDp v ^ozhp2ijxDc
x~… +p Da}(p .!
x Ki lBa v a`cbp xgndDpilxe
c }cDah$a p!
x xgl_aÃ!
^ d
d
^ v ^op2ijz!$a dŸd
^op2ijxDc:»MOpi }^o'g x4zhgn^ v Ki J1$a +%p ^op%p D&
a xgndbQ
p2ijxD
c Wpx!zhxecDilz v ahzhxe
c p v dDzhp2ijxDc»^ v a'€ba`cDa v ^ogl'g Ö^|yDil€edDxe
d '
d Ãpx½(p .L
x 2xgndDpilxe
c ^b
c »'i wd
cD'i dŸdDaxecD'g ½…Ox v cDxDc
p v ^
c %
^ v a`cpxe
y B0ahzhp `
Da'zhxecbp v iny
dDpilxecxo…p%Di'
^?
a v ^ v aw|!^oincDgÃp+ v aha QO… xbgB
mPn a+JFcDilpilxecÃx~…À^cÃ^~gj€ba`y v ^oilzwincb_^ v in^cbpU… x v ^&
^~i v xo…;cDxecbQZzhx#Dgn^c
^ v zhxecDilz$'i›co%
^ozha?p
m u ahxD|ahp v ilz'incp2a v v ahp¼^op2ijxDc½xo…¹p+Daw^ogl€a`y v ^oilzwincb_^ v i›^bcpincÃpa v |kxo…9z v x00Q v ^op2ijx02p
m Pgj€bx v ilp%
| …Ox v zhxe|
dDpincD€}p%Di'Wincb_^ v i›^bcpU… v xe| pq.x}d
cDz`^ogliny v ^opa$ in|}^o€ba$xo…p%Da
^oi v x~…¹zhxecDilz$`
Da v a`|}^oincDincD€^ahzhpilxec}^ v ax v €e^cDi'rha$^ … xglglx.`}MšcXDahzhpilxecc:
[Bp%Da½^ogl€a`y v ^oilz}incb_^ v in^cbpi'
a v il_a$
… v xe| p%Da'^2xezhin^opa$!d
d
^ v ^~pilz… x v |-dincD€}p%DaD1d
^og v a2 v a$2a`cp¼^~pilxec}x~…/%
^ozha'zhxecDilz$`UDa`c½incÃXDahzhpilxec q [
p+Da v ahgn^opilxec%Di1 y
ahp(.aha`c½p%Daw^ogl€a`y v ^~ijzinc_o^ v in^cbp ^cÃp+Da"ecDx.Wc½€ahxD|ahp v ilz'inc_o^ v in^cbpWi'a$p¼^yDgli'%Da$BMZc
XDahzhp2ijxDc \ [op%Da v x0B±ahzhpil_a v ahzhxDcp v dDzhpilxec- v xDyDgja`|Ri'sJ v p…Ox v |dDgn^opa$winc}XDahzhp2ijxDc \ ;:
XDahzhpilxec \  q €il_a$p+Da
zhx vv $a % xec
a`cDzha'zhxec
ilpilxec`TahkDp`[
XDahzhpilxec \  \ €bij_ba$p+Daw^c
^og'ep2ijz`^~g |Ùahp%Dx#9.Dilz$»^oglglx.pxahkep v ^ozhp;p(.x
:
2xgndDpilxecwincHzhgjx0a$ …Ox v |Á}{ÀkC a v in|a`cp ^og v a$¼dDglp}^ v a& v a$2a`cpa$Hi›cHXDahzhpilxec @ Ni›c
^~gjg'[xe|Ùa}zhxecDzhgnd
incD€
zhxD|}|a`cbpW
^ v a€il_a`c i›c4XDahzhpilxec ] 
> x? pxo… ^ogl€a`y v ^oilz v x0±B ahzhp2ij_ba/€bahxe|ahp v 4pa v |-w^bc v a$¼dDglp/da$Hi›cHp%Da&
^? a v z`^cy a…Oxed
cincP8 qqW< 
Nfx v ^|x v a'€a`cp2gjaincp v x#1
dDzhpilxec xo…i›cb_^ v in^cp… x v zhxe|&
dDpa v _ei'ilxec:[fxecDa'z`^c v a … a v px!8;: ]7< 
UH ( X ? DUa +
!#"$&%('&)+*,.-0/%1*/,0243
c J1€ed v ^~pilxec:[p%DaºcDd
|/y a v xo…i›cb_^ v in^cpwi' v xedD€#Dg'G% a`^?"bi›cD€ p%Da
i;lBa v a`cDzhaÃx~… p+Da
u il_a`c^ €ahxe|ahp v ilz}zhxe0
in|a`c2ijxDcxo…;p+Da/zhxDc0J1€ed v ^opilxec4€ v xed ^c p%Da-
i›|Ùa`cilxecx~…p%Dap v ^bc0… x v |}^opilxec½€ v xedc8 t :D[: @7<5 iƒ…p+Da
in|a`c 2ijxDcÃxo…%p Dai 2xp v #x 0½€ v xed!xo…9p%Da'zhxDc0J1€ed v ^opilxec½i'WcDdDglg76h;Nfx v ^-
^oi v xo…;cDxecbQZzhx#Dgn^c
^ v zhxDcDijz$inc98:`[
p+Da v a'i y xbg›dDp2ainc_o^ v in^cbp d
c
a v p%Da'^ozhpilxecxo…:p%Da€a`cDa v ^og
glincDa`^ v € v xed@?+A 5 q 6
t ; :< 5O
q =I@ 6&> 50t¦] > t 6B^
inB
c 8 : }XDincDzhaºa`^~gz ^+
^ozha}zhxecDil_
z ^ C
r ; D
q = @ ah€ v ah$a xo…;… v ah$a xe| 55@ … x v ^ zhxecDilz}inc^½€bij_ba`cGDgn^cDaY^bc
a Dg›^bcDaºinX
c .Dilgz +p Da}zhxecDilzºglil$a E6h[%p D
a i›|Ùa`
c ilxec xo… !
^ ^~i v xo
… %
^ozha}zhxDcDij$z 'i L:F< 9
 Da
q …Ox v %p D&
r ;t`] &
p v ^
c 0…Ox v |}^~pilxec½€ v xe
d G?+A 5Oq 6²'i v 2a v $a a`cbp$a ?
y »^ \ < \ |}^~p v ilk»
d 4pxº
^ z`^oglincD€½… ^ozhp2x v [
ilp D
in|a`
c ilxec 'i \ < \ > t ; =t @ 
H
IJ$&'0K$L24%4*NM(*,.-0/%1*/,02
Da d
cDi'd
dDainc_o^ v in^cbpÃz`^cy
a€bahxe|ahp v ilz`^oglg'#zhxDcp v dDzhpa$^½ilglg›d2p v ^opa$ i›c Nij€Dd v a t  Di'I
^»y
aha`c
|Ùa`cpilxecDa$4
incG8 t : < M¿…p%Da \ incpa v ahzhpilxecI xincpWxo…p%Da'zhxecDilz$.ilp%½p+Dawzhxe|}|Ùxec½gli›cDaxo…p%Da'zhxecDilz&Dgn^cDa$
^ v a v a$% ahzhpil_ahg'P
OQh[LOSR¦[TO : ^cUO.V.Dx0a v x?B0ahzhpil_a
^ v ^|ahpa v ^ v aWXQ[TWYR`[LZ!Q^bcPZR` Daz v x?0Q v ^opilx
5 W Q >Z Q 6c 5 W R >dZ Q 6
[ ;\5 OQ^]EOR$pEO : _] O0VE6 ;`5 WaQ^]EWYR$pEZ!Q]EZRb6 ; 5 WaQ>ZR6c 5 WeR>dZR6
i'p%Da'€ahxe|Ùahp v ilz'inc_o^ v in^cbp`
p+Da`|
PUi›c4^oglg9x~…À^ogl€a`y v ^oilzw€ahxe|Ùahp v [.awcDaha$ pxzhxed
cbpWp%Da$2a \ incbpa v ahzhpilxec,
xincbp v x#
a v g[fiO aa`^oz$½xo…
|il#
€ bpWy
a|/dDglpi1Dgla[:zhxe|&DglahkÃx v ^opUi›c0JFcDilp(
P4
C2
P3
P2
C1
P1
l
Nil€ed v a t  u ahxe|Ùahp v ilz}inc_o^ v in^cbpwxo…W^!
^oi v xo… cDxecbQZzhxDg›^bc
^ v zhxecDilz$`wp+Da/z v x?0Q v ^~pilxÃxo…p%Da \ incp2a v ahzhpilxec
xincpWxo…p%DawzhxecDilz$D.ilp%½p%Dazhxe|}|xec!glincDa/x~…¹p%Da'zhxDcDijz-Dgn^cDa$`
gf
hjik/ML$dML'0,k*NM/3P/mlk/nk%4*NM$&,0-$To'.i$
Da_ v incDzhi1Dgja4xo…S1d
^~gjilp(i'/^!…Zd
c1^|a`cbp¼^og²zhxecDzha2Dpwincc v x?B0ahzhpil_a€ahxe|Ùahp v }MZcp8 : [/
xbi›cbp^c Dgn^cDa$
^ v a1
d
^ogBpx!a`^ozg xp%Da v fDa%
^~zha1d
^og9x~…À^&Dgn^cDaz`d v _ai'^zhxecDaUDazhxecDilzwi' ^kdŸd
^ v ijza`cb_ahglx#
axo…
ilzg i
z`^oglgla$Ö^-
i'%"9d
d
^ v ilz98 qq7<
v ^c" q .D
q
Da&Dgn^cDaa$dŸd
^op2ijxDc 5 inc^Dg›^bcDa}zhxex v inc
^opa$'incpa`^ xo…d¼d
^og xincbpwzhxDx v inc
^opa$_6xo…p%DazhxecDilz[ v a2 v a Q
2a`cpa$ ^p%Dazhxe|&Dglahpai›cbpa v 2ahzhpilxec4xo…À^ v x#
a v zhxecDa ;,s .D a v a 'i w^-
|}|ahp v ilz \ < \ |!^op v ilk
^bc»
^&Dgn^cDa ;
;s incI xincpzhxex v inc
^opa$`[
i'
s s ;
.Da v a
9;\5 QE] ^R ] : ] V 6 s
s
5´t 6
s
v a2 v a$2a`cp'^_^ v i›^byDgja&Dgn^cDa
U$ -k*$ ')@*,.-0/%4*/,.2X3(')@lk/&24$T%1,k/% l!/n!%4/&24*M )E'0%4 3
X incDzha}^-%
^~zha'zhxecDilz/i'W^kdŸd
^ v ijza`cb_ahglx#
a[.aDJ v p v ah_eila$.Ri›cb_^ v in^cpxo…;^&
^oi v x~… d
d
^opa v c
^ v _d
d
^ v ^~pilz
D
…Ox v |kÅOxglgjx.incD€XDa`|&Dgla#^c 'cDaha`y
xecDa 8 qq7< [.x# 8 qo\=< ^bc x
cxec 8 t`]7<  u il_a`c p(.xPd
d
^opa v c ^ v
d
d
^ v ^~pilz … x v | `[ DQ
,^bc R
inc `.Da v a
^c
^ v ay
xp% Ÿ|!|ahp v ilz \ < \
|!^op v ilzh$a `[:zhxe
c 2i a v %p DaxecDa in|a`cilxec
^ogÀ… ^|Ùijg'4xo…Sd
d
^ v ^op2ijz…Ox v |-¦[/e 6 O 6 glincDa`^ v zhxe|yDi›c
^~pilxec xo…
Q b^ c
R¦[ 5 ] 06
DQ = Ro Da_^cD'i %DincD€Ãxo…p%Da
ahpa v |Ùi›c
^bcpx~… 5 ] 06²i'W€bij_ba`cÃy?
%$ '& ( $ &)
! "
"
#
* +$ ,&
- $ = & " - ;s ]
p%
^opi'`[
.YQ $ V = .^R $ : & = . : $ R & R = ._V $ & : = .0/1& V ; s ]
.Da v a
. Q ; - 4V - ] 4 4
.^R ;32 :Q 9 6 6 ]
. : ; - 9 Q V4 59 68R<7 ; : ;14 V - 4= - 9 Q=; R 9 : ;1V - = - 9 Q=; R>; : 9 V - = - ;LQ 9 R 9 : ;1V - = - ;LQ 9 R<; : 9 V - = - ;LQ?; R 9 : 9 V - ]
._V ; 2 Q ; 6 " 6 ]
.0/ ; - " - 5 68] 7
; 4 6 ^c 9 4 6 ^ v aa`cbp v ila$;x~… ^c " [ 4 6 ^bc " 4 6 zhxo…Z^ozhpx v xo…; 4 6 ^c 9 4 6 i›c ^bc "  ;\5 ; Q:; R<; : ;1V 6
^bc " ;\5 9 Q 9 R 9 9 V^6^ v a'p%Dazhxgnd
|}cI
^ v pilpilxec½xo… ^bc " 
:
@ Da`R cA!p v ^c´… x v |-;incbpxB ;DC ½y?º^bc?}cDxecincD€edDgn^ v %
^~zhaWzhxglglincDa`^opilxec C [=. 6 ^ v aUp v ^c0…Ox v |Ùa$}incpx
. B ; - C - . 6 E. 6 5GF ; t ]IHJHIH ] @ 6;^ v a v ahg›^~pil_a'inc_o^ v in^cbpxo…/.ahil€#bp:wx~…9p%Dapq.x)dŸd
^op2a v c
^ v &d
d
^ v ^~pilz… x v |-
6 Q^cK
R`
L
MUoONS$T"!%4/*MB*,.-0/%4*/,.2U'&) /#ik/*N%P'&) 3 i!/ML$ ML'0,k*NML3
L ahpQPDQW^bcR
P Ry
ap(.x&%
^ozhazhxecDilz$`[ v a2 v a$a`cp2a$Öy0»p%Dahi v 1d
^og/d
d
^ v ilza`cb_ahglx#
a$TSQU (
;
RS " d
Q
R
; s }S xeci'
a v p%Da}inc_o^ v in^cbp/^ogl€a`y v ^Ãxo…UdŸd
^ v ^opilz}…Ox v |kVS ^cWS inc }PDXS Q ;
STR ;
s}v a2 v a$a`cbpzhxecDilz$`[x}p+Dahi v ^xDzhin^opa$Id
d
^ v ilza`c_ahglx# a$ ^ v a'xo… v ^c" q [Dp%Da v a …Ox v a
s ^bc
c s ^b
. Q ; . / ; - - ; - " - ;s H
@
Y. .
Z.0/
. <. [.
#$ 4]\
a}^ v agja …Op.Uijp+ ^R¦[ _V/^bc cDxec4_^cDi'%DincD€1& .xÃ^yxbg›dDp2a}inc_o^ v in^cbp ^R
:  _V'z`^cHy
a-
a+JFcDa$
…Ox v p+Dahi v ^ xDzhin^opa$Id
d
^ v ^~pilz… x v |-`[Dx.ah_ba v p%Da$Ã^ v awcDxpbahpp+Dawinc_o^ v in^cbpxo…p%DazhxecDilz$`[incDzhaa`^oz$
zhxDcDijz
…Ox v ^c?9z`^ogn^ v
;s i''^xDzhin^opa$!.ilp%4^… ^b|ilgÃx~… d
d
^ v ^op2ijz…Ox v |k
;s 
TS 4
$ 4S 4
Bx xeyDp ^oincp%Da»^byxgndDpa½i›cb_^ v in^cp}xo…Wp(.x»zhxecDilz$`[²p%DaI xW.a v ah€ v aha$xo…
d
d
^ v ^~pilz… x v |-%D xedDg' ^og' x}p¼^?~" a`c½i›cbpxº^~zhzhxed
cp¦(@ Da`c½p%Di'Wi'D
xecDa[
\
$
&>i›c
^c
p%Da!… ^|Ùijg'
xo…
Q#OYeO-R?Y$e
\T'O$QFR$Z?T#Q O-e Y2R0]%e R?YQfe
R
. ; ^. .R :._V H
5 :46
T xbpap%
^opp%Da&
ah_ahglx#
|a`cbpwx~…p%Di'L
^ v p'i''…Ox v |}^oglg'^in|ilgn^ v pxÃxDd v
Dgn^c
^ v zhxecDilz$`
\F s
+ 0) s
U ^
)0
" xDc»incb_^ v i›^bcpxo…
v ah_eilxed).x v Ã
+UH
PD.aº|a`cbpilxecDa$a`^ v gjila v [p%Da€ahxD|ahp v ilz}incb_^ v in^cbp [ xo…p(.xÃcDxecbQqDgn^c
^ v zhxecDilz$wi'wa`^hilgX
a+JFcDa$ ^'p+Da
z v ?
x v ^op2ijx'x~… (p .
x ^oi v ;xo…/ xincp¦[a`^oz$&
^oi v x~….Dilz$}i';p+Daincpa v ahzhpilxecxo…9^zhxecDilzD.ilp%p%DaUzhxe|}|xecglincDa
x~… +p Da(p .x'zhxDcDij
z Dgn^cDa$¦;MZc!p%Di'Uahzhpilxec:[.a.^cpp2xwincp2a v v ahp;€bahxe|ahp v ilz`^oglg'}p%Da'^ogl€a`y v ^~ijzinc_o^ v in^cbp winc
p2a v | xo…%p D'i €ahxe|ahp v ijz'incb_^ v i›^bcp [ f
 Da/y
^ 2ijz'i a`^½i pxz$Dxex?2aL
^ v p2ijz`dDgn^ v zhxDx v inc
^opa v a2 v a$a`cbp¼^opilxec
…Ox v dŸd
^ v ij$z inc x v a v pxÖy v i›cD€ %p Da`| incbpx»%p D9
a in&
| Dgl$a p…Ox v k
| `!
 Daº$z Dxilzha½i !i›
c +Di v $a #?
y XDa`
| Dgja»^b
c 'cDaha`y xecD!
a 8 q7q < ^
c b#
x c xeX
c 8 t`7] < 
.
@
ij+p DxedDp»glx?4xo…}€a`cDa v ^oglilp([wp+Da Dgn^cDa$ o
x …}p%Dap(.xP%
^ozha zhxecDilz$|}^=y
a ¼p ^?"oa`c 5 d px#^ %
^~zha
zhxbgjglincDa`^opilxecL6 v a$%
ahzhpil_ahg' ^ V ;Rs ^c
Q ;Rs incI xincpzhxDx v inc
^opa$`[ x v5Os ] s ] s ] t 6 »^c 50t ] s ] s ] s 6 Yinc
Dgn^cDazhxex v inc
^opa$`
#
R
O
O
DaDgn^cDawa$d
d
^opilxecxo…9p+DawzhxecDilz$ v a$1dDzhawpx
9;3 s
s
s"!
Q
R
;`5 Q^] ^R ] : 6 $#%&
:
;s
+
('*)
^bc
" 9;3 .DDa v a
"
^c
s
"
s
s
!
R
;`5 R ] : ] V 6 " :
V
#%&
^ v aw^¼d
|a$Ãpxºy a
|}|ahp v ilz
;s ]
+
'*)
DawcDxec½_o^cDi'%DincD€ v ahgn^opil_awincb_^ v i›^bcpz`^cÃy awahkDgjilzhilpa$^h… xbgjglx.`
. R ; 9 V V - -]
.: ; RR" :: = ._V ; ; Q Q - " - ]
" 4 6 ^ v a'p%Da'zhxo…Z^ozhpx v xo…); 4 6 ^c
: : " R R>c: R : " R : ]
46
.Da v a
^bc
4
96
inc
"
^c

T x.w[0.a v a$dŸdDi v a'p2x-JFcÃp(.x-
xincbpWa$d
d
^opilxec.Dilzg v a2 v a$a`cp¼d v …Z^ozha$.Dx?2aWzhxe|Dgjahp2awincp2a v ahzhpilxec
i'p%Da}zhxecDilz}P zhxecb_a`cDila`cp-
^oi v xo…U¼d v …Z^ozha}i'wp%Da9Dg›^bcDa}xo…p+Da}zhxecDilzY^bcÖp+Da}zhxecDa&.Dilz$9B0xincwilpwpx»^
_ba v pahk½xo…9%p Dapahp v ^?Da$ v xec}x~… v a …Oa v a`cDzha[¼^=}p%Da-
xincbp 5Os ] s ] s ] t 6 FDa-
xincbpa$d
d
^opilxecÃx~…¹p%Da'zhxDcDa'i
,
.Da v a
-
s
.
s
i'p%Daw^B0xincp|}^op v ilk½xo…
s
!
;\5 Q_] TR ] : 6 
@
-
Q
#%&
TR + ;s ]
:/'*)
XDin|ilg›^ v g'[;p¼^0"incD€ 50t ] s
a$d
d
^opilxec xo9
… p%DazhxecDa'i'
]s ]s 6
^p%Da!_a v pahkx~… p+DaºzhxecDaÃ^2xezhin^opa$Hpx»p%Da9ahzhxec
s
"
s
;\5 TR ] : ] LV_6 " s
-
!
#%&
TR
:V
;
+
zhxecDilz[²p%Da_
xbi›cbp
]
s
'*)
.Da v a " - ip%Daw^B0xincbpW|}^op v ijk½xo… " 
Da'zhxe|}|Ùxec½gli›cDaxo…p%Dawp(.xzhxecDilzLDgn^cDa$i
Q ;s
LV ;s
Da v a …Ox v a}p+Da}incpa v ahzhpilxecP
xbi›cbpxo…p%Da&+
^ozhaºzhxDcDijz$.ilp% p%Da½zhxe|}|xDc lg i›cDa»^ v a}p%Da v xDxpwx~… p+Da
…Oxglglx.incD€ÖyDinc
^ v ^d
d
^ v ^op ilz}a$d
d
^opilxec'xDyDp¼^oincDa$y0 v a$%
ahzhpil_ahg'G2ahppincD€ Q ; s ^ c LV ; s ni cp%Dap(.x
zhxDcD$a `
R
QE 5 &R^] : 6
RE 5 TR^]8 : 6
RR R:
R: ::
!
" RR " R:
" R: " ::
&R
:
!
:
!
R
!
;\5 TR ] : 6 ;\5 TR^]8 : 6 " K
TR
:
;s ]
:
!
R
!
;s H
Pp;p+Da¼^b|aWp2i›|Ùa[.aWz`^c!zhxeci'
a v +p DaWincb_^ v in^cbpW^ogl€a`y v ^wx~…9p%Dapq.xyDi›c
^ v _d
d
^ v ^~pilz… x v |-
x 8 @ [ =\ < [ %p Da v aw^ v a'+p v aha v ahgn^opil_ai›cb_^ v in^cpWxo….ahil€#bp:-.DDijz$»^ v a
v incD€½p!
R[1^ozhzhx
Q^bc
Q ; - - ]NR ; R R " : : = : : " R Rk>c: R : " R : ]R^c : ; - " - H
Q ; s
R
; Q R H
:
N1x v p%Da'incb_^ v i›^bcpxo…p(.x-d
d
^ v ^op2ijz'a$d
d
^opilxec
MOpi'a`^hilg4_a v Ki J1a$»p+
^opR
; .^R`[
Q ; ; Q Q - -
^c
: ; 9 V V -" -
R
R
. ; .^.R8:._V ; Q R ; H
:
^c
R ;
s [
p%Dawd
cDi'd
dDaÙ^byxgndDpa'inc_o^ v in^cbpWi'
Dd`[
.
Da€ahxe|ahp v ilz/incbpa v v ahp ^opilxec xo…%p Da}^ogl€a`y v ^oilz}incb_^ v i›^bcp Ãi'/cDx. a$d
dDij_o^ogla`cppx½a$p¼^byDgji'%Hp%Da v ahgn^¦Q
p2ijxDc%Di1#y
ahp(.aha`c p%DaÃ^ogl€a`y v ^oilz4i›cb_^ v in^cp xo…Wp(.xÖyDinc
^ v cd
d
^ v ^opilzÃa$d
d
^opilxecº^bcp(.xG
^oi v }xo…Wp+Da
a d
d
^ v ^~pilzwa$d
d
^opilxec`FDiz`^cÃy awa`^ilg'»^oz$Dilah_a$Ö^ … xglglx.`
v xexp x~…¹%p D
E'c %p Da½xecDaI
^cB[ilp}i'_"DcDx.Wc 5 z …´ 8 @7< 6p%
^opp(.x yDinc
^ v cdŸd
^ v ^opilz½… x v |-z`^c y
a!in|dDglp¼^cDahxedg'
px}z`^bcDxecDilz`^og9yDinc
^ v ½…Ox v |-y0»^-¼dDilp¼^yDglacDxec9incD€edDgn^ v Dxe|x€ v ^??:
v a$1dDzha$»
; B Q BR R = B Q B: RR ;s
R
; BR BR = BR B: ; s
p%Dd
R
. ; ; B ; 5 ; BQ ; BBQR = BQ ; ; BR BR BR BQ 6 H
]
y0
5 W Q ]EW R 6W^c 5 Z Q ]_Z R 6y
ap%Da
E'cÃp%Daxp%Da v ^cB[fgjahp
W R ;\5 BR

B: 6 R ; > BQ  ; BQ
Da;€bahxe|ahp v ilz²i›cb_^ v in^cpi'p%Da;z v x? v ^~pilx
y ahp(.aha`c [ ^c
R.
v xDxpxo…;p+Da/yDinc
^ v
,dŸd
^ v ^opilzwa$d
d
^opilxec`[f€il_a`c
R ; 5 BR  B 6 R ; > BR =; BR H
:
[ ;\5 WaQ^]EWYR$pEZ!Q]_ZRh6 /Da v a;ahkDi'pp%Da…OxglglxW.Ui›cD€
^cPZ
= t 6R
. ;\5 [ > t
E'y_Dilxedg'[
[ ; >
v ahg›^~pilxec%Di1
5q 6
[
t p d v cxedDpp2xºy
ap%Da'€ahxe|ahp v ilz'i›cbpa v v ahp¼^opilxec xo…9p%Da_^cDi'%DincD€Ãxo…
.:
PF 0F I g
Da/^ogl€a`y v ^~ijzincb_^ v in^cbpxo…À^9
^oi v xo…cDxecbQZzhx#Dgn^c
^ v zhxecDilz$'i'
a+JFcDa$ inc,%
^ozha[fp%
^opi'incP8 : MOp v a`|}^oinc
R
2p x v ahzhxecp v dDzhpp%Da+
^ozha'zhxecDilz… v xe| i›|!^o€a'zhxecDilz$.Dilz$»^ v aWinc98 FDi'ahzhpilxec9.UijglgB€bij_baw^cÃ^ogl€x v ilp%
|
…Ox v v x?B0ahzhpil_a v ahzhxecp v dDzhpilxec½xo…;^-%
^ozha'zhxDcDijz … v xe| ilpp(.x}d
cDz`^ogli›y v ^opa$ in|}^o€a$`
PpfJ v p`[ xe|awy
^2ijzzhxecDzha2Dp v ahg›^~pa$»px!z`^|a v ^€bahxe|ahp v ½
^ v awy v ilaI v a$a`cbpa$4i›c4XDahzhpilxec \  t N1x v
|Ùx v a ahp¼^oilg'`[fxecDa'z`^c v a …Oa v px,8 < 
%4$ToN*K*N,k/%4*N$L3
ɦȟڍşÛoÒ`ÑÝÈBÎ Õ Ð
Ò`ÉÑ
È;лÛoÐ:Õ ÅŸÉ¦Ð M¿….aW^¼d
|ÙaW^
a v +
ahzhpil_a v x0B±ahzhp2ijxDc… x v z`^|a v ^'|x
ahgO[Dp%Da`c}p+Da
xDyB±ahzhp%
^ozhaC:;|}^=wy azhxeci'
a v a$º^ha`|/y a$
a$}inc8: 5 v x?B0ahzhpil_aF+
^ozhaxo…
in|a`cilxec q 6^c}p%Dain|}^o€ba
+
^ozha R a`|y a$
a$/inc 8 R /Da²z`^|a v ^ a v …Ox v |-p%DaF v x0B±ahzhpilxecy
ahp(.aha`cD8 : ^c 8 R [o^cp%Di' v x0B±ahzhp2ijxDc
i' v a2 v a$2a`cpa$+y0 ^ q < \ |!^op v ilkO x~… v ^c" q .Dx?2a_"oa v cDahg²ip%Da! v x0B±ahzhpilxec zha`cpa v [jO i'z`^oglgja$+p+Da
v x?B0ahzhpilxec}|}^op v ilkwxo…Bp%Daz`^b|a v ^
Da v ahg›^~pilxec}y
ahp(.aha`c}^cÙi›|!^o€a xincpinc}ilpUDxe|x€ba`cDahxedzhxex v inc
^opa$
; 5 ]T]6 inc(8 R ^c»^%
^ozha-
xincbpWinc ijpHDxe|Ùx€a`cDahxedzhxDx v inc
^op2a$ ^.ahglg( ; 5 QE] &R^] : ] VE6 inc
8 : ^ v a'glincDa`^ v g' v ahgn^opa$Öy0 $ ; X
O .[
x v
$.5O ]&]
6 ; O 5 Q^] &R_] : ] LV_6 H
@
ÑOÕ Ð
Ü1Å
Ë
Da`cdO i'}pxp ^oglg d
c"ecDx.Wc … x v ^4€il_a`cHin|}^o€a[s.a9¼^=p%
^~pwp%Di'}in|}^o€baºi'
d
cDz`^~gjiny v ^~pa$B;Nfx v ^&
^oi v xo…in|}^o€a$¦[ O |!^2Ãy
awd
c"~xW.c!… x v a`^oz$½in|}^o€a[Dx.ah_a v p%Da'a2Di1
xgn^ v €bahxe|ahp v x~… ^^
^oi v xo… d
cDz`^ogliny v ^op2a$#in|}^o€a$z`^c+y aÃa$pin|}^op2a$ … v xD|xecDg' p%DaI
xincbp}zhx vv a$%
xec
a`cDzha$½xo…Wp+Daºp(.x
in|}^~€a$`MOpi''%p Da v a …Ox v a|x v aw^? v x# v in^opapx}z`^oglgp%Da-
^oi v xo…d
cDz`^~gjiny v ^~pa$ i›|!^o€a$D.ilp%^"ecDx.Wc½a2Di1
xbg›^ v
€bahxe|ahp v ½
^ %p D
a .a`?
^ "b'g [1
^ ¼dD€b€$a p$a ÃinG
c 8 q
t < x v %p D
a v ?
x B0ahzhpil_ahg'Ãz`^ogli›y v ^opa$ ^~i v xo…9in|}^~€a$`
4ÎBÛoпѣØÉ¦Ð
ÒhşÊ
MZc%p D'i F
^? a v ?
[ .a^¼d
|Ùap+
^op9p+Daa2Di1 xgn^ v €ahxD|ahp v 'i'^~g.^=9€il_a`c …Ox v p%Da
^oi v xo…Bd
cDz`^ogli›y v ^opa$}in|Q
^ €a$`MZcم ^~zhp`[p%DaUa2Di xgn^ v €ahxD|ahp v i'p%Da"oa$…Ox v p%Da v x0B±ahzhpil_a v ahzhxec2p v dDhz pilxec… v xe| p(.xwd
cDz`^~gjiny v ^~pa$
~
in|}^~€a$W^
a`|Ùxecp v ^~pa$ÃincG8 ] [ t2@7< 
Daa2Di1
xbg›^ v €ahxe|ahp v z`^cºy a cDilzhahg'Ãzhx
a$Yy0º^ q < qv ^c"-:|}^op v ilk[Dz`^oglgla$½…Zd
c1^|a`cbp¼^ogF|!^op v ilk
8 t AD[ r=< x v a$ a`cbpin^og;|}^op v ilkG8 t2@7< PWzhzhx v incD€Ãpx M^ v p2gja$c8 t2@7< [fxecDa&
x?inyDgja½z$Dxilzha/x~…S v x?B0ahzhpilxec |}^op v ijzha$
O… x v p(
. xwz`^b|a v ^
zhxDc i' pa`cbp.ilp%»^k
ahzhxe|&
x0ilpilxecÃxo… ; 8 < i'€il_a`cÃy?
O ;\5 . : s : 6
O B ;\5
^c
-
> -
6
5\ 6
.Da v a 'i w^}cDxecoincD€edDgn^ v'q < q |}^~p v ilkF[ ; 5 Q ] R ] : 6  - i p%Da^B±xbi›cbp'|}^op v ilk½xo…
i'p%Daw^cbpi'
|}|ahp v ilz q < q |}^op v ilkÃ^xDzhin^opa$4pxp%Daw_ahzhp2x v ¼
 Nfx v | x v a
ahp¼^oilg'`[aha98 t2@7< 
8 < [1^c
Da v ahzhxDcp v Dd zhpilxec!inc98:i'p%Da v a …Ox v a
a+JFcDa$»d!pxwp+DaH v x0B±ahzhp2ij_baWp v ^c0…Ox v |}^op2ijxDcwx~… p+DaHDgn^ozha`|a`cbp
x~…¹p%DaDJ v pz`^|a v ^

H
'0%4#!o/&24*'0, '&)@i!%4'a$TM 24* -S$%1$TML'0,!3e24%4!M 24*'0,
VB
Mšc½p%Da…Oxglgjx.incD€1[ .ilp%DxedDpahkCDglilzhilpw|a`cbpilxec:[
p%Da
^oi v xo… v x?B0ahzhpilxecº|!^op v ilzha$O ^cPO :^ v a
a+JFcDa$»d½px
x B0ahzhpil_a'p v ^
c ´… x v |}^opilxec` aw^ v a'p+Da v a … x v a.x v "bi›cD€incI v x?B0ahzhpil_a%
^ozha$.DDijz$»^~gjglx.Rpx v ah_a`^ogB|x v a
v ?
incbp v in
c il_
z v
x a v pila$xo…;p%DazhxecDilz v ahzhxec2p v dDzhpilxec:Da}{;dDzhgli'
a`^cHz`^az`^c y
a& v xDzhaha$
a$inc ahk
^ozhpg'»p+Da
^|
a .=^ º?
y ½p¼?
^ "bincD€}%p D)
a ¼dDilp¼^yDglaL v x0B±ahzhp2ijxDcÃ|}^op v ilzha$`[ p%Di'.ilglg9y a
i'z`da$ inc»XDahzhp2ijxDc \  @ 
@
u il_a`cÃ^zhx vv a$% xec
incD€ ^oi v xo…zhxecDilz$WincÃp(.x-
i'pincDzhpWin|}^~€a$`[
S P
;s S B B P B B ;s ]
. a v a$d
dDi v a}pxJFc^½zhxecDilz/inc^+
^ozha-.DilzgG
^h y aha`cG v x?B0ahzhpa$ v a$% ahzhpil_ahg' i›cbpx S ^bcRS B 'P8zhxecDilz
inc^+
^ozhai€a`cDa v ^oglg' v a2 v a$a`cbpa$^'p%Dazhxe|Dgjahp2a}incpa v ahzhpilxec xo…^&d
d
^ v ilz& d v … ^~zhaÙ^bc ^!Dgn^cDa&Da
v ahzhxec p v dDzhp2ijxDc½ip%Da v a … x v aWa$d
dDil_^ogla`cbpWpx)JFcÃp%DaDgn^cDawinc9.Dilz$½p%DazhxecDilz'gjila$`[:^U.aWz`^bc}p¼^0"oa ^bc?}xDcDa
x~…¹p%D
a'p(
. xzhxecDa$W
^ xezhin^op2a$»
pxp(
. x/zhxDcDijz$
incÃin|}^o€ba$ ^
p%D a)Ÿd d
^h v ilz¼ d v …Z^ozha
Da'zhxecDa'a$d
d
^opilxec4^xDzhin^opa$»p2xÙ^ـil_a`cÃzhxecDilz^c»^€il_a`c z`^|a v ^i'WxDyDp¼^oincDa$Ö^ … xglglx.`
e =O2Y!RD\ ]qZgO 3 Q e Z?Y -R?Q ]+e
D
O Z 4 R 3 R -O=]qR Q #O)O #R0Q e Z?Y!Z 4 Q #O 3 Z0YO #e 3 $Z?e Y QO 3 Z?Ye 3 P ;s
e Y^Q#O-e -ROD\T'R?YOQ Z!Q #OD\ ]qZgO 3 Q e Z?Y 3 O2YQ O2]Z 4 Q O 3 R LO=](R_e Q ; O P+OX ;s H
D i'
z`^cºy a'a`^ ilg'_ v xo_a$Ã
y?¼ d
y pilp¼dDpincD€ $ ; OX½incp2x/p+D aWzhxecDilz'a$
d d
^opilxec P ;s  ;s
i'
a+l ahzhp2ij_bahg
^! v x
a v zhxecDa[ … x v Q v ^c" 5 +6 ; v ^c " 5 OD6 ;8v ^c" 5 P6 ;8q ^c
a ve5 + 6 ; a ve5 OD6D.DDijz$ i'
|Ùa`^cpUp%
^opp%D a'_a v p2ahkºxo…p%D a'zhxecDai'
p%D aL v x?0B ahzhpilxec½zha`cp2a v xo…p%D a'z`^|a v ^ 
Da'zhxecDa$zhx vv a$% xec
incD€Ãpxp%Da
^oi v x~…¹zhxecDilz$'^ v a v a$+
ahzhpil_ahg'
D3 ; O P+OX ;
incG8
:

s
B 3 "
^c
# W$ B
;
O B P B O B ;s
$
Y W$ B
*B
Sxe
c 'i a v %p DH
a a`cDzhilgFx~…Vd
d
^ v ilzD¼d v …Z^ozha$
=
;s [o…Ox v ah_a v /_o^ogndDaWx~… p+Daa$dŸd
^~pilxec =
;s
^ dŸd
^ v ij9
z ¼d v …Z^ozha&.DDijz$c
^a$p% v xedD€# ^oglg²p%DaºzhxD|}|xec^
xbi›cbpxo…
^c
O_Da_
xincbp
v a2 v $a a`cbp /o
zhxD|}|xec>px#^oglgd
d
^ v ilzc¼d v …Z^ozha$Ãxo…/p+Da a`cDzhilg/^ v aGin|&Dg'p%Da
xincp,.Dilzg |}^?"oadp%DaHz`d v _a xo…
incbpa v ahzhp2ijxDc}xo…
^
c O[e^bcºp%Di'z`d v _aUip%Da'y
^az`d v _aUxo…Bp%DaH a`cDzhilg DaWy
^az`d v _axo…Bp(.xd
d
^ v ilz
d v … ^~zh$a 'i '€ba`cDa v ^ogl'g &
^ d
d
^ v p2ijz!z`d v _awMšc xed v zhxecbpahkDp`[1p+Da v ahzhxecp v dDzhpilxec4zhxecp v ^oincpin|&
x0a}p%
^op'p+Da
zhx vv $a % xe
c incD€»zhxecD$a i›cbpa v 2ahzhpwinc^½zhxecDilz}inX
c %
^ozha
P %p D'i wzhxecDilz}in^
c %
^~zh&
a %DxedD'g y _
a ^ v p'xo…%p Daºy
^ 2a
z`d v _a[%p D
d ;+p Da y
h
^ az`d v _aUxo…F%p DD
a a`cDzhilg %DxedD'g Yy v a`?
^ "
d }^
c }xecDaUxo…F%p DaUzhxe&
| xDcDa`cp ²'i ^'zhxDcDijzUi›
c %
^ozha
{À_a`cÃ|x v a[eiƒ…;xecDa'x~…9%p DawzhxD&
| xecDa`cbp x~…9%p Dawy
^ a'z`d v _a''i ^zhxDcDijz[ %p Da v $a 'i 1d
^ogzhxe&
| xecDa`c
p %DxedD'g Ö^o'g x
y aw^zhxecDilz
P L
^ ^~i v xo… Dg›^bcD$a z`^cÃy
a'zhxD
c 'i a v $a »
^ )
^ ah€a`cDa v ^opD
a d
d
^ v il
z ¼d v … ^ozhaxo… v ^
c "&:
[D^ozhzhx v incD€
p2x}%p Da v $a ¼dDglp 'xoF
… v?
x B0ahzhpil_aw€bahxe|ahp v 5 z …´
 8 qb$q < 6xeI
c
a`cDzhilg xoF
… d
d
^ v ilz ¼d v …Z^ozh$a `[f%p D
a ah€a`cDa v ^op
a d
d
^ v ilz
d v … ^~zha'zhxe&
| x0$a »xo…%p Da ^oi v xoF
… Dg›^bcD$a wy
ahglxecD?
€ px}%p Da a`cDzhilgxo… d
d
^ v ilz ¼d v …Z^ozh$a inc zhxe
c 'i a v ^opilxec: Ha
^ v a%p Da v a …Ox v aUgj$a ½pxahkŸ^|Ùi›cDa'
^ +
ahzhin^o
g a`cDzhilgBxo
… d
d
^ v ilD
z ¼d v …Z^ozh$a F.Dil$z }zhxDcp¼^~i›
c ^ ah€a`cDa v ^op$a Ã|a`|y
a v
x~… v ^b
c "_:
 ^ $a 4xec½%p D'i `
[ .a'z`^c v a … x v |/dDgn^op2a'%p D
a v xeyDgla`| xo…¹zhxDcDijz v ahzhxe
c p v dDzhpilxec»h
^ ;…Oxglgl
x .`
U
Z*B
@
!#"$%'&)(*+,
#&.-/10324/57698:*;<-=+>@?-A&.:*%'B!-C&ED'!((*%GF<&.#:*%'@HI@,J!#"$%'&)(*+,
#&.-.(LK
&>,MON P!P@QSRUT#(-."VHW:*;->H9XY@,J2Z%'(
%[ B!->H\#(.]^L=9>=1-EC!<!"%'&)(*+,
!&.-C;#(_,`+DGDa>@H+Xb+81c=+>@=-E!<!"%'&&.@H<-d>H9XYP981)=<@%GC@,"%'(:*%GH<&.:d=+D'@H<-.(>H9XfecH"W
'
>-E=1-.#:-."V=9D'H->@H+X\g#M
r
$
#O,]qO 3 Z?Y $Q ] 3 Q e Z?YPZ 4 R 3 Z?Ye 3 e Y \ R 3 O 4 ]qZ Q Z e
-R#O e !O #e2R?T'O=YQQ ZSYXR $ 3 Q#R?Q-Q#O
[ LR0Q ]%e XP 5+$ 6 ; = $ " #R (] R?Y 6 : ; s R?Y " ;s R?](OLQO\ ]qZg\CO2] 3 Z?YO 3 ?Z ]+](O \CZ?Y ?e Y1&Q Z
*
QOLQ Z!e
-R#O Z 4 Q O 3 Z?Ye 3 e Y C\ R 3 O 6
@a½z`^c+^og'x
%p Dinc"p+
^op-.aÃ|}^= ^¦_a½p%Da½z`^a!.Da v a½p%DaI
^oi v xo…HDgn^cDa$½zhxincDzhi'
a`cp¦[y
ahzhxe|incD€^
v a2
a`^opa$9Dg›^bcDa.Dilz$}i'^
ah€a`cDa v ^~pad
d
^ v ilz d v … ^~zhax~… v ^c" t 9M … p+DiU.^F x?inyDgla[
p%Da v ahzhxec2p v dDzhpilxec
.xedDg' y
awd
cDi'dŸdDa
 MU
x .ah_a v [DincÃ%p Da…OxglglWx .Ui›cD€f[.a%Dx.p%
^opilpi'in|&
x?inyDgja
4
Q#O 3 Z?Ye 3 e Y^e
-R#O R?](O\ ]qZg\CO2]@FQ#O=]qOeYZ $ 3 IQ#R?Q P 5+$ 6 ; = $ " 3 R?Y #R 2O-](R?Y 6
Di'
. ilglg¹y aL v xo_a$Ãinc p%D awcDahkepahzhpilxec»^… pa v xp%Da vv a$¼dDglpD.ilglg ^¦_awy ha a`cÃincp v x#1dDzha$B
C'0%4%4$&3 i '0,kn!$T,kML$pML'0,kn!*H24*'0,!3
gf
cDgli1o" aL xincp ^cº
glincDa$` [fp(
. xin|}^o€a$x~…¹^zhxecDilz'i›co%
^ozhazhxecbp¼^oinc9¼d0*ºzhila`cbpincb… x v |}^opilxec½pxin|& x?a'zhx vv a Q
+
xec
a`cDzhazhxec
ilpilxec`UDawced
|y a v xo…9p%Dainc
a2
a`c
a`cbp'zhxec
ilpilxecD.Dilzg z`^cºy a
a v il_a$»i'a$2p¼^yDgli'%Da$
^h
… xbgjglx.` 
#O=]qO)Oe$QFQ Z!e Y?O \CO=Y?O=YQ\CZ0TYZ e R?T 3 Z?Y ?e Q e Z?Y 4 Z?])R 3 Z?]+]qO \Z?Y0e Y3\CR0e ])Z 43 Z0Ye 3 6
Bx! v xo_aijp¦[ . a}cDaha$ xecDg'»
p2xºzhxed
cbp'p%D a-
ah€ v aha$'x~…… v aha$
xD| xo…;p%Da v ^c"!:Ã|}^~p v ilk»^c p%Dx?axo…p+Da
|!^op v ilk
a`cDzhijgO>P \ < \ |}|ahp v ilz»|}^op v ilk+d px^,z`^oglincD€…Z^ozhpx v zhxed
cbp…Ox v½t`s > tP; A,
ah€ v aha$}xo…
… v aha$
xe| [:p%e d'
^½€a`cDa v ^~g¹|}^~p v ilkI
a`cDzhilgzhxed
cbp
…Ox v A > t; r ah€ v aha$'xo…… v aha$
xe|Á'P v ^c"!:9
|}|ahp v ilz
|!^op v ilkPxo…Bx v a vÀ\ zhxed
cbp
…Ox v;] ah€ v aha$
xo…1… v aha$
xe|Ã[0 xwp+D a v a v a`|}^~i›c9: ;r > ] inc
a2
a`c
a`cDpUzhxec
ilpilxec`
@a.ilglg¹cDx.
a v il_ap%Da$awp(.x&
xg'
cDxe|in^ogBzhxDc
ijp2ijxDc`
Sxeci'
a v p+Dawz$
^ v ^ozhpa v i2pilz
xg'
cDxe|in^ogxo…
$ >|}^~p v ilk P 5%$ 6 ; = $ "
[
- P 5+$ 6.>&. - ; & V = ; Q 5+$ 61& : = ; R 5+$ 61& R = ; : 5+$ 61& = ;1V 5+$ 6 ;s H
P +$
5 6'i ^ v a`^~g Ÿ|!|ahp v ilz \ < \ |}^op v ijk:'Nfx v ilp'px ^¦_a v ^bc "I:
[filp/|dp
^`_ba/p(.x&
i'pincDzhp}cDxecrha R v x
ahil€a`cb_^~g›dDa$w^bc»^-
xed
yDgla-rha v x}ha il€a`cb_^ogndDaDa'zhxec
ilpilxec.a'^ v a'glxDx#"incD€!… x v ^ v a'a$d
dDil_^ogla`cbp'px&
^`_ba
; 5+$ 6 ;s ]
:
;1V 5+$ 6 ;s H
fL
a+JFcDilpilxec:[>;4V 5+$ 6i';p%DaD
ahpa v |inc
^cbp;x~…P 5+$ 6h[op%Da v a …Ox
|!^op v ilk!
a`cDzhilg = $ " [e 6 O 6
55@ 6
v a[bilp;i'p%Daz$
^ v ^ozhpa v i2pilzH xg'ŸcDxe|Ùi›^~gFx~… p+Da
;1V 5+$ 6 ; - P 5+$ 6 - ; - = $ " - ; .YQ $ V = .^R $ : = . : $ R = ._V $= .0/e]
.Da v a'p%Da'zhxDa+*ºzhila`cbp#. ^ v a
xbg
cDxe|in^og''incÃp+Da'a`cp v ija$Uxo… ^c " 
6
XDincDzha ^c " y xp%!
^¦_a v ^c" q [?Y. Q ; - - ;s ^cR.0/ ; - " - ;s FDa'zg
^ v ^ozhpa v i'pilz
p+Da
a`cDzhilgi'…Z^ozhpx v irha$»^h
xg'ŸcDxe|Ùi›^~gBxo…
;4V 5+$ 6 ; $.5 .^R $ R = . : $= ._V^6 ;s H
Da v a^ v aH€a`cDa v ^oglg'>… xed v 2i›cD€DdDg›^ v |!^op v ilzha$Ãxo…p%Da a`cDzhilgO[a`^ozg zhx vv a$% xec»p2x+xecDa xo…}p%Da4… xed v
€ba`cDa v ^ogli'rha$Ãahij€ba`c_o^ogndDa$xo…Bp%Da
a`cDzhilgO[1p%Da v xexbp;xo… ; V 5+$ 6 ;s  U.x'€a`cDa v ^oglirha$4ahil€a`c_o^ogndDa$xo…Bp%Da a`cDzhilg
aLT1-&AL=+D'-.:-!8O-4(*;9D'"W@D'();<B!- 5 6@H<" b 5 6: [ <@>H+:-.-L:OC"$%'(:*%GH<&.:H<@H . -E>-E% [ ->H+B@DG-A(.M
A
$
$
^ v'
a a`^ilg' v a`^h»xedDp'^ C;Rs b
^ c C;
.DDijz$Ãzhx vv a$% xec v a$%
ahzhpil_ahg' px
^ v a'p%DaxgndDpilxecxo…p%Dad
d
^ v ^opilz'a$d
d
^opilxec
^bc
"
DDawp(.xxp%Da v
.^R $ R = . : $D= ._V ;s H
5] 6
²a … x v a'€xincD€º^?Da`^B[ gjahpd v ahz`^~gjg.p%Da… xbgjglx.incD€1
ÀÅ1Õ Õ Ð
Z4
e 2O24 Y/ LO=4 Q ]%e 3 -R?Q ]+e 3 O ?R Y "
T'Q je \ T e 3 e Q FQO2Y
e R?QUT'O%R gQ 9>
4 Z0]
$4 4
P %5 $ 6 ; = $ "
Z 4 ?Z 4 ]*?O=]
6 4
e RV#O=YO2](R?T'e gOO=e'O2Y 2 R?TOZ 4
Q
Z #R 2O]qR0Y 6
v xDxo…´&Dii'/^!
i v ahzhpzhxeca$d
dDa`cDzhaºx~…p%Da…Z^ozhp'p%
^~p'p%Da&
in|a`cilxec
ahkDzhaha$

4
xo…cedDglg'%
^ozha½xo…
= $ 4"
=W$ "
z`^ccDxp
MZc½x v a v p2_
x ^¦_a ^ v ^bc"_:|}^op v ilkºinc½p%Da a`cDzhijgO[ .aD%DxedDg'Ö^opgla`^pD
^`_ba ^€ba`cDa v ^ogli'rha$»ahil€a`cb_^ogndDaxo…
|dDglpi1Dglilzhijp(G:
[ Da`cDzhap%Da/^y xo_ad
d
^ v ^op2ijza$dŸd
^~pilxec 5O] 6|dp
^¦_ap(.x!a$dŸd
^og v xexbp`Dazhxec
ilpilxec … x v
p+Di 'i 3. : R > \ ^. R,._V ;s ]
p%
^opi'Wp+DaDJ v pzhxec
ilpilxecY… x v zhx vv a$+
xec
a`cDzha
MOpi
cDx. p v ^oil€# p´… x v . ^ v Ãp%
^op).az`^cHcDxpL
^¦_aº^ v ^c" t |}^op v ilk»incp+Di}|}^~p v ilk `a cDzhijgO M¿…x1[ .a
+DxedDg'Ö^opgla`^2p
^¦_aw^p v i1Dglaw€ba`cDa v ^ogli'rha$Öahil€a`cb_^~g›dDa.Dilzg iUxey_Dilxedg'»in|& x?inyDgla… x v .
a ^`_ba ^og v a`^h
p(
. x-
i' pincDzhpWxDcDa$ s ^c
FDi'H v x_ba$p+Da
v x#
x?2ijp2ijxDc \ ;:

$
; +$
P…Opa v 1V 5 6 ;s xo…
[DilpWz`^bcÃy
a. v ilppa`Ã
c ^
5 @ 6;i'ahk
^|incDa$B[.a'z`^c½cDx.ahkŸ^|Ùi›cDa; : +5 $ 6 ;s (; : 5+$ 6i'W^Ùz`d
yDijz-
xg'
cDxe|in^ogBinc
; : 5+$ 6 ; Q $ : = R $ R = : $= V ]
4
.Da v a ^ v a xg'ŸcDxe|Ùi›^~g'inc p%Da'a`cp v ila$Wxo… ^c " 
Daahzhxec4zhxec
ilpilxec4i'
a v il_a$y?½zhxe|&
dDp2i›cD€½p%Da v a$ dDgjp ^cpUxo…); : 5+$ 6^bcY;1V 5+$ 6U.ilp%
DaºahkDglijzhilp…Ox v |
zhxDc
ijp2ijxDc
xo…p%Di' v a$¼dDglp¼^cbp`[:…Zd v p%Da v in|&DgliKJ1a$
;
> Q . :: =
:
;
R . : R .^R!> \ : . : . R R =>r V . R :
Da v a$¼dDglpz`^c½p%Da`cÃy a¼d
|!|}^ v i'rha$»inc
#O&Q Zk\CZ?T YZ Le R?T 3 Z?]+]qO \Z?Y0O2Y 3 O 3 Z0Y?e Q e Z0Y
s R?Y ;s 6
y0dincD€
$

v $a +
ahzhppx
s [B€il_a$p%DaahzhxecP
xg'
cDxe|in^og
;s H
R?](O_](O C
\ O 3 Q e2O=T 4 Z?]-R-\R?e ]LZ 4k3 Z?]+](O \CZ?Y ? e Y3 3 Z?Ye 3 !ÅfÕÖÐ1É
Da2ahzhxecÃzhx vv a$+
xec
a`cDzhazhxec
ilpilxec4i^&
xg'
cDxe|in^ogBx~…sDil€#Da v ah€ v aha$Wp+
^c}p+DaDJ v pxecDa
Da'ahkC a v in|a`cpW
zhxec1 dDzhp2a$»inc»XDahzhpilxec @ .ilglg%Dx.p%
^~pp+DaDJ v pzhxec
ilpilxec i' |dDz$Ã|x v aD
i'z v in|inc
^cbp
p+
^cÃp%Da)J v 2 pWxecDa'Mšc
p%Da J v p'zhxec
ilpilxec,.ilglg;y
a½da$ px}a$p¼^byDgji'% p%Dazhx vv a$% xec
a`cDzha$
v ^ozhpilzha[:xecDg'»
x~…;zhxecDilz$/
y
ahp(
. aha`c4p(
. x½in|}^o€a$¦ wMZcbpa v a$ p2i›cD€bg [.p%D a)J v p'zhxec
ilpilxec
^ÃcDijzha!i›cb_^ v in^cp'incbpa v Q
; s ^1 |Ùijpw
v ahp¼^opilxec:
A
D"
L:ahpº
d J v p}zhxDci'
a v p%DaÃinc_o^ v in^cbpY^ogl€a`y v ^xo…'p%Da^
^oi v xo…wp%Da!d
d
^ v ^op2ijz … x v |-
#^c
h^ 'i›cHp%Da_ v ah_eilxed}XDahzhpilxecG: _Da$G
^¦_a @»v ahgn^op2ij_ba}inc_o^ v in^cbp ] P; t ] ] @ ~x … .ahil€#bp:Ãxo…p%Da}p(.x
d
d
^opa v c
^ v 9dŸd
^ v ^opilz… x v |-
^c
.
.6 F
R"
t`s
IHJHIH
Tx. glahpºp ^?"oa½p%Da!dŸd
^~pa v c
^ v cd
d
^ v ^opilz½…Ox v |-xo…w^G
^oi v x~… zhxecDa$ ; s ^bc " ; s [ x
.YQ ; .0/ ; - - ; - " - ;s  @aw^ v a'gla …Op.ilp%ÃcDxecrha v x .^Rh[>._VW^cR.0/¦(@ Dijglap¼^?"bi›cD€!i›cbpxº^~zhzhxed
cpp%Da x.a v
ah€ v aha$xo… $ ^c &[
p%Da/d
cDi'd
dDa/^y2xgndDpawincb_^ v in^cbpxo…À^-
^oi v xo…p%Da'zhxecDa$i'
R
.
:
. ; .R.V H
R
P ; . > \ ^. R,_. Vo[
p%Da v a … x v a
:
;s . ;\ H Co'03a$Tn)E'0%1 3 '.o24*N'0,k3('&)+%1$TML'0,!3e24%4!M 24*'0,
ÅÊ.ÅeÜfÅ1Î:Å
É`Ð
ÒhÅ
:Ð1ÊÉÑ¿Û#Ë É šÐ1ÛoÅ
XDincDzha,.a»|dp&
^¦_a½p(.x4a$dŸd
^~g v xDxp… x v p+Da!dŸd
^ v ^opilzºa$d
d
^¦Q
p2ijxDc 5O] 6h[D%p D)
a xed
yDglaw€a`cDa v ^~gj'i rh$a ha il€a`cb_^ogndDai'
i v ahzhpg'ÃxeyDp ^oincDa$Öy0
$@; > : . ^. : R H
Da`c9.a'xeyDp¼^oinc p%Daw|}^op v ijk
P ; =D$ "
xo…¹p+Da
ah€a`cDa v ^opa)dŸd
^h v ilz¼d v …Z^ozha
Da v `a |}^oincDincD€wa+lBx v p… x v zhxecDilz v ahzhxecp v dDzhpilxec v a$dŸdDi v a$²xecDg'px'ahkep v ^ozhpp%Dap(.xHDgn^cDa$À… v xD|p%Di' v ^c"
:!|}^op v ilk Pº
DP
BÒ`ɦÐ1ÛoÒ`ÑÝÈBÎ ÈÒ Å ÝÐ:ÎFÅBÐ1Ñ¿É DaahkDp v ^ozhpilxec xo…1p%DaDgn^cDa
^oi v … v xe|
x~… ½[#.DDijz$Ãz`^bc»y
a
i v ahzhp2g,xgl_a$ ^ ²… xglglx.`
P
zhxeci'pxo…1p+Da;ahil€a`c}^c
^~gi'
KP 5+$ 6h[ilp}i'_2i›|DgjiKJ1a$,y0
u xincD€y
^~zg"Hpx p%Da»z$
^ v ^~zhpa v i'pilzI
xbg
cDxe|in^ogxo…'p%Da»|}^op v ilk
zhxDc
ijp2ijxDc
;s ^
& R 5 & R = ; Q 5+$ 61& = ; R 5+$ 66 ;s H
Da v a`|}^~i›cDincD€½p(.x}cDxecrha v x}ahil€a`c_o^ogndDa$X&QW^c
&0RW^
v a'p%Da v xDxpxo…p%Dad
d
^ v ^op2ijz'a$d
d
^opilxec:
& R = L; Q +5 $ 16 & = ; R +5 $ 6 ; s H
5 46
P PiÃ
^ v a`^~gSŸ|}|Ùahp v ilzÖ|}^~p v ilkF[Àp%Da v aÃahkDi2pY^HcDxeccincD€edDgn^ v p v ^c0…Ox v |!^opilxec
in^o€bxec
^ogli'rha$B
C P #
C ;
iO a
Dad
d
^ v ilz¼d v …Z^ozhaX
Da
^oi v xo… Dgn^cDa$X
P ;s
i›^~€
i'p%Da v a …Ox v ap v ^c0…Ox v |a$½y?
&Q BQ R = 0& R BR R ;s H
4B 4B B ;s ] ; t +] :winc
C
¼dDz$ p%
^opP7i'
5 &QE]'&0Re] s ] s 6 H
;DC B
B
incbpx
in^o€
5 & Q ],& R ] s ] s 6, B ;s
p%Da'p v ^c´… x v |a$ v a … a v a`cDzha … v ^|a'i'
5 &Q^] > &0RY] s ] s 6 B ; &Q, B Q > &0R BR ;
MOpi'xDy_DilxedWp+
^oppx}xeyDp¼^~i›c v a`^og/Dgn^cDa$`[.aw|/d2p ^¦_a
p%Da!ahzhxec
:
O;9%'(V%GH<-.!<@DG%': &.@H<"%':*%'@H "+-.(VH<!:V1-.&.::*;<-W"9- [ >-.-\,,`>-.-."+
>=1!(*%':*%'H b9M P9M
tt
s
H
,C:*;- )
#:*% =1-EH<&E%GD
8)(\%':V"+-.(VH<!: 1-.&A:V:*;<-
[
; R 5%$ 6 ; &Q1& R s H
^bc aRy
a'p%Daahil€a`cb_ahzhpx v zhx v2v a$%
xDc
i›cD€!pxwp%Daahil€a`cb_^ogndDa$ &Q^c &0Rxo…Pº
4 L:ahp 4 1 QÀ
; s ] ; t ]%:incÃp%Da'x v ij€bi›c
^~g v a …Oa v a`cDzha'… v ^|aw^ v a'xeyDp¼^oincDa$ y?
5 CE 4B 6 ;\5 &Q 4Q > &0R R_6 ;s H
Da`c+p+DaÖzhxDcDijz inc
v ahzhx_ba v a$»^y
xo_a
DaDgn^cDa
^oi v
%
^ozha4i!
a+JFcDa$R^ºp+Da»incp2a v ahzhpilxec>xo…wxecDa4xo…wp%Da4pq.xzhxDcDa$!.ilp%+p%DaGDgn^cDa
½ÅDÒhÅ
ÉÕÑ ÎFÐ
Ò`ÑÝÈBÎ8È ºÒ Å 9ÎBÑ F
Å nÐ:Î:Å0É`È.Õ Ò Å ÝÐ:ÎFÅ.Ð1Ñ£É
Pp}p%Di'&p ^o€a[p%Da v ahzhxec2p v dDzhpilxec
x~…WzhxecDilz$}incP%
^~zhaÃi½^|yDij€DdDxed}d px pq.x,xgndDpilxec`[f
a+JFcDa$ y0 ^bc? Dgn^cDa4xo…Wp%Da!Dgn^cDa ^~i v  Di'
^b|/yDiny
dDil(p }z`^c
cDxpy
a v a`|xo_$a }inc!%p Da
d v aH v x?B0ahzhpil_a q +
^ozha8 : ahkDzha2Dpp%
^opiƒ…/.a…Zd v p%Da v d
x?ap%
^op
zhxDcDij$z 'zhxDcp¼^~i›c4cDx v a`^o/
g xbi›cbp '^opi›0
c JFcDil(p 5 e 6 O 6 xecDg'Ãahgjgli1a$E6 Mšc {;dDzhgli'
a`^c z`^a[fp%Di''^|yDij€DdDijp(Ãz`^c4y
a
c %
^ v a`cpUxe
y B0ahzhp `[D%p D'i H xinc
p .ilgjgy
)
a 'i z`
d a$ inc»XDahzhpilxec \  @ 
v a`|xo_$a ½… x v cDxDcbQZp v ^
ÕÕ Ð1É¦Æ È Ò Å#ÛoÈ.Õ :ÒhÐ
Ò`ÑnÈ.Î N v ex |^I
^oi v xo…Upa v ahx4i›|!^o€a$`[^¦… p2a v p%Da}zhxecDilz!… a`^op d v a$'… v xe| p(.x
in|}^~€a$F
^¦_ay
aha`c!ahkep v ^ozhpa$B[op%Dazhx vv a$% e
x c
a`cDzhaWy
ahp(.aha`cp(.xWin|}^~€a$^cp%Da v ahzhxecp v dDzhpilxec^ v aUxgl_a$
0y ½%p Da… xbgjglx .incD!
€ v xezha$1d v a
t XDahglahzhpilxec4xo…¹^zhx vv a$% xec
incD€ ^oi v xo…zhxecDilz$
4
4
5 ^46½N1x v a`^~zg9
^oi v xo…9zhxDcDijz$4 VP ^bcAP B [D…Ox v | p%DazhxecDa$ ; O P O ^c " ; O B P B O B [
zhxe|&
dDp2a
6
6
. R [<. : ^cR. V [Dp%Da`c 5 6 
6 Pb
xbpa`cp2i›^~4 gezhx v2v a$%
xDc
i›cD€
^~i v x~…1zhxecDilz$i 2ahgjahzhp2a$Ù^h9p%Da
^oi v p%
^op ^p%DaU¼|}^oglgla$p^yxgndDpa
5 yLÃ
_^~g›dDaxo…
:

^b|xecD€}^oglg/
x0inyDglak
^~i v W
xo…zhxecDilz$'y
ahp(.aha`c½pq.xin|}^o€a$¦
56
4
5 ze6»M¿… - - 4 h[
ilpi'zhxeci'
a v a$
€il_a`c 5 6 P 
^^&
^oi v xo…9zhx vv a$%
xec
incD€!
^oi v [Dahg'a/cDxzhx vv a$%
xec
a`cDzha … x v p+Da
v x?B0ahzhpil_a v ahzhxecp v dDzhp2ijxDc
5 ^46!^?"oa $C; > . : 0c : .^hR [Dzhxe|&
dDpa P ; =D$ " [
6 {kDp v ^~zhpp+Da'pq.x&Dgn^cDa$
5 yL»
iOWM¿…(; R s [xgl_a'p%DaDd
d
^ v ^opilz'a$d
d
^opilxec 5 46À…Ox v &Q^cA&0R¦[Dahg2awcDx v a`^ogxgndDpilxec!
x0inyDgla
ijiO'Sxe|
dDpap%Da'ahil€a`cb_ahzhpx v 1;
Q ^c aR ^xDzhin^opa$½px&Q^c & RUy?&2xgl_eincD€}glincDa`^ v a$d
d
^opilxec
4 4; s[
5 PK> & . 6 ililiOgn^cDa
^~i v i'W€bij_ba`cÃ^ 5 &Q 1Q > &0RaRE6 ; s
q Sxe|
dDp¼^opilxec!xo…p%Da'inc_o^ v in^cbp
5 ^46½N1x v | p%DaDgn^cDaa$dŸd
^op2ijxDc½xo…¹a`^~zg! x?inyDgla-%
^ozhawzhxDcDijz^ozhzhx v incD€}p2x}p%Da…Ox v |dDgla 50t 76 p
6 Sxe|
dDp¼^opilxec!xo…9p%Da v ahg›^~pil_a'inc_o^ v in^cbpxo…¹^bc?_
^~i v xo… +
^ozha'zhxecDilz$ahk v a$a$ÃincIDgn^cDa'a$d
d
^¦Q
5 yL»
pilxec:
5 ze6ÃN1x
v |
p%Daw^yxgndDpainc_o^ v in^cbp dincD€½p%Da…Ox v |dDgla
t
:
5 :46h
L
U$&o/&24$TnD9'0% '0, ML'0,k*NM%4$&ML'0,k3Y24%4kM 24*N'0,
M pi';^og'x'in|&
x v p¼^cbppx cDxbpap%
^opah_a v ^og
^dDp%Dx v F
^¦_a v a`|!^ v "oa$p%Dain|&
x v p¼^cDzhaxo…:zhxecDilz$;^;y
^ilzin|}^o€ba
…Oa`^op¼d v a$ ^c^
ah_ahglx# a$ 2xe|aL v xezha$1d v a$ … x v x?aa$pin|}^op2ijxDc:[ pa v ahxÃ^c|xpilxec y
^2a$ÖxDc»zhxDcDijz$¦[f… x v
in
c p ^cDzha 8 t`r [ :
[ : s [ q : [: ] [ q [A [:?: < &Da½zhxecDilz v ahzhxDcp v dDzhpilxec ^ogl€x v ijp+
|
v x# x?a$incHp%Di'L
^? a v i'
p Ki lBa v a`cbp… v xe| p+Dx?awx~…F> ^,O2Q 6 R?T8;: t [ : s=< ^cX
^¦… ^~aha Q±V^PO2Q 6 R?T8 q : < Da$Öy
xbp%^
^`_ba
v ahg›^~p$a pxYy
dD
y aha`cÃincbpa v $a p$a Ãinc½%p Daw{²dDzhgli a`^bc v ahzhxe
c p v dDzhp2ijxDc½xo…/%
^ozha'zhxDcDijz^c! v x#
x0a$!
iKl a v a`cp2xgndDpilxecWp2x/p+Da
v xeyDgla`|Á
>^O=QR?T 6 inc&8;: t [2: s7< ah_ahglx# a$º^U
iKlBa v a`cp^c
^og'Dpilz`^og
|ahp%Dx.Dilzg v ahzhxec2p v dDzhp
i v ahzhp2gp%DaS x?ilpilxec
^bcÖx v ila`cp¼^~pilxec xo…p%DazhxecDilzºinc^%
^~zha[9^cG v x# x?a$^½z v ijp2a v ilxec4…Ox v zhx vv a$+
xec
a`cDzha}_ba v iKJ1z`^opilxec:_Da
^0 v xe^oz$). ^hF
ah_ahglx# a$Y
^c9D a`^`_Dilg'}
gli›|Ùijp2a$Ã
pxw{;dDzhgli'
a`^c!… v ^|a$.x v "f[?Da`cDzhaDxe|a v x# a v pila$ v ah€e^ v i›cD€
d d
^ v ilz$
z`^c
cDxp;y a v ah_a`^ogla$
incwp+D i
… v ^|Ùa$
. x v 1" D a |!^opz$D i›cD€z v ilpa v ilxecÙi|x v a^-RU\Z $Q O2]+e Z?]+e
v x?0B ahzhpil_aF
_ba v iK1
J z`^opilxecI v xezha$1 d v a[:|ilkDa$Ö
d9.ilp% p%D a v ahzhxec p v dDzhpilxecI v xezha$1 d v a
MZcX8 q : < [1X
^¦…Z^oaha Q±V^h O=QUR?T 6 xeya v _a$»p%Da- v x?B0ahzhpil_a v x
a v p(Ãxo…;^_ a`cDzhilgxo…FdŸd
^h v ilz$`[1p+Da`cI v x# x?a$
^- v xDzh$a 1d v a'px v ahzhxecp v dDzhpp%DaHDgn^cDa'xDc&.Dilz$½p%DazhxecDilz'i›c9+
^ozha'glija$¦FMx.ah_a v [bp%DaxgndDpilxec9 v x# x?a$
y0ÖX
^… ^oaha Q±VU^PO2QR?T 6 cDaha$'px!2xgl_a}^!Dij€ 5 … xed v p%L6
ah€ v aha_
xbg
cDxe|in^ogO[.p%Di'wi'1dDa}px½gn^ozg" xo…;…Zd v p%Da v
incb_$a pil€e^~pilxec xo…p%Da& v xeyDgla`|Á&Dain|&
x v p¼^cbp v x# a v pila$ v ahgn^op2a$pxÃp%Da-% ahzhi›^~gS
a`cDzhilgxo…|}^op v ilzha$w^ v a
cDxbp;ah
k Dgjxbijp2$a BS
 Dain
c a2
a`c
a`cDz$4xo…
a v il_a$ºa$d
d
^opilxecU.^cDxp^c
^~ga$B[
p+Da v a … x v ap%Dazhx vv a$+
xec
a`cDzha
zhxD
c ijp2ijxD
c 'zhxedD'g ÖcDxp'y
aahC
k Dglilzhilp$a B
 Dad
cD'i dŸdDa`cD$a 'i ¼dDawx~… v ahzhxD
c p v dDzhpilxe,
c ^'^og'xºy
aha`c,
i'z`d2a$Öinc
8q : < 
D a_ v x0±B ahzhp2ij_ba v ahzhxecp v dDzhp2ijxDc xo…%
^ozha}zhxDcDijz½z`^cy aºa`^hilg ahkDpa`c
a$ pxÖ{²dDzhgji'
a`^c v ahzhxec2p v dDzhpilxec
.DDa`c+p%Da!p2a v ahxGpa`| i'9p v xDcD€g'z`^ogliny v ^op2a$B Mšc+p%Da»{²dDzhgji'
a`^c €ahxe|ahp v … v ^|a$.x v "f[ilpºi'º|Ùa`^cp
p+
^op
. a^ v aw€bij_ba`c»p+Da @ incp v incilz_
^ v ^|Ùahpa v U… x v a`^ozg4z`^|Ùa v ^
[fzhx#
a$ v a$% ahzhpil_ahg'^Wp+Da/a`cbp v ila$'xo…^bc
d a v p v in^cD€edDgn^ vq
<
B9xo……Ox
s
c ^ v li €i'c
i+Dg›^~zha`|a`cp}y ahpq.aha`c
+ ^
t
p(.xÃz`^|a v ^`[ v a2 v a$a`cbpa$+y?^ v xp ^opilxec |}^op v ijk ^c+^Ãp v ^bcgn^o' pilxecH_ahzhpx v ¼IDa!…Oxglgjx.incD€G
^oi v xo…
^ v x?B0ahzhpilxecÃ|}^op v ijzha$Uz`^c»y aw^il€ecDa$4px}p%Da'p(.xz`^|a v q |!^op v ilk
^c
s O ; 5.: s :6
^bc
v |
&
#
s
O B ; B 5 . : s : 6 s :
t
]
.Da v a. : i'p%Da q < q i'
a`cpilp(»|}^op v ilkF
Da q n v ahzhxecp v dDzhpilxecÃinc : ip%Da v a …Ox v a)
a+JFcDa$dÃpx}p+Da v il€i' p v ^c´… x v |}^opilxec!xo…p%DaLDgn^ozha`|a`cbp
x~…¹p%DaDJ v pz`^|a v ^

MZc4…Z^ozhp`
[ .Dah+p Da v .aº^ v a!€il_a`c^op v xDcD€g'Öz`^~gjiny v ^~pa$ 2pa v ahxI#p2a`|x v ^!.a`^?"bg z`^ogliny v ^op2a$+xecDa[ijp
i'}a$d
dDil_^ogla`cbp}pxy
aÀbij_ba`c^^
^oi v xo… v x0B±ahzhp2ijxDc|}^~p v ilzha$ O^c O  Da!
iKlBa v a`cDzha v a$2i
a$!i›c p+
^op+O
^b
c O
^ v &
a +a JFcD$a d Hpx ^ v il€'i p v ^c0…Ox v |!^opilxec4xo…p%Da_Dgn^ozha`|a`cbpxo…p%DaJ v pwz`^b|a v ^½inc p%Da}z`^2a}xo…
p+D
a p v xecD€!z`^ogli›y v ^opilxecÃz`h
^ a/^
c »
d
pxº&
^ v ?
x B0ahzhpil_a'p v ^
c ´… x v |}^opilxec!incÃ%p Da'z`
^ 2awxo…p%Da.a`^?"!z`^ogli›y v ^opilxec:
Da v $a ¼dDglpincD€ v ahzhxec 2p v dDzhpilxe,
c .ilglg;y
a}{;dDzhgl'i a`^cHx v v ?
x B0ahzhpil_a}^ozhzhx v incD€Ãpx½%p ^op%p D&
a ^oi v xoS
… v0
x B±ahzhp2ijxDc
|!^op v ilzh$a 'i D
+a JFcD$a Ö
d Ãp2xº^}{;dDzhgl'i a`^c4x v v 0
x B±ahzhpil_a'p v ^
c 0…Ox v |}^~pilxec:
B
B
P .a-
^¦_aw|a`cbpilxecDa$ p%
^opinc4z`^axo…À{²dDzhgli
a`^bc v ahzhxecp v dDzhpilxec:[fp%Da/^|yDil€edDilp(Ãxo…F
xed
yDgla-xgndDpilxec
z`^bc/y a v a`|xo_a$wiƒ… .af¼d
x0ap%
^opp%DazhxecDilzinc)%
^ozhai';^cDxecp v ^c%
^ v a`cpxeyB0ahzhp 5 ^.Ui v a$/zhxDcDijzinc-%
^~zha
i''^(p CDilz`^ogahk
^&
| Dglawxo…p v ^b
c %
^ v a`cD$z L6hF
 Da_e'i inyDilglin(p »zhxe
c 2p v ^oincbp |}^=ºy a}da$»px!€ahp v i'»x~…¹p%Da)¼d v Dgnd
2xgndDpilxec:_
 .x»y
a}_D'i inyDgla½… x v ^ÃcDxDc p v ^
c +
^ v a`cbH
p Dgn^cDa!… v xe| (p .9
x Ki lBa v a`cp_eil$a . xincp `[ijp'i /cDahzh$a ¼^ v »px
^¦_a'+p Da/(p .x_eil$a . xincp 'gjxDz`^op$a xec %p D
a ^|
a 'i axo…;%p Da Dg›^bcDaWL:xD#
x "Ã^opNil€ed v L
a :!i›,
c .Dil$z 4xecDL
a Dgn^cDa
x~…;%p Da v ahzhxe
c p v dDzhp$a G
^oi v xoS
… Dgn^cD$a w'i w^o'g .=^ #'y
ah(p .aha`c %p Daqp .x½z`^|a v ^!zha`cbpa v `[:%p Da v a … x v aw%p D'i Dgn^cDa}'i cDxbp%p D
a xgndDpilxec xo…%p D
a v xeyDgla`|Á
Di'wz`^cHy
a½a`^ilg'zgDahz$"oa$^h… xglglx.`9Da
xo…z`^|a v ^`[:€il_a`cHp%Dahi v
v x?B0ahzhpilxec4zha`cpa v w
t`q
v x0B±ahzhp2ijxDc
p1Tx = 0
pT x = 0
2
O’
O
Nil€ed v aL:
UDi'J1€Dd v aijglgndp v ^opa$p%
^opxecDawxo…p%Da-
^oi v xo…SDgn^cDa$'i''^og'.^2Wy ahpq.aha`c qp .x}z`^b|a v ^zha`cbpa v `[
p+Da v a … x v aWilpi'WcDxbpp+Daxbg›dDp2ijxDcÃxo…9p+DaH v xDyDgja`| i … .a ^ v a'zhxeci'
a v incD€ÃcDxec}p v ^c%
^ v a`c
p xeyB0ahzhp` E'cDai'
a
x~…¹%p DaDgn^cDa R
; s i'_Di'inyDgjaم x v y
xp% z`^|a v ^h`[DxW.ah_a v a`^ozg92i
axo…p%DaDgn^cDa Q ;s i_Di2i›yDglaºy0
^ ;i lBa v a`cbpz`^|Ùa v ^

k
|!^op v ilzha$O
4
;`5 O :X: 6^cPO B ;`5 O :B X: B 6^
>O: a:Q ; t
B 4
va
^c
B;
>O : B X:Q B H
t
4
B
¿M … 5 6 5
6 s p%Da`c ^c glilaºy
xbp%Ãxec p%Da ^|a2i
axo…;p+DaLDgn^cDa
;,s [1ahg'ap%Da$Ãglila
xDc9
i;lBa v a`cbpi'
a$'xo…p%DaLDgn^cDaUDdp%Di'W^oglglx. dUpx v a`|xo_ap%Da v ahzhxDcp v dDzhpilxec4^|yDil€edDilpq
OM pi'W^og'x}in|& x v p¼^bcppx}cDxpap%
^opp%Di'p2a$pz`^cº^~g2xºy
a'ahkDpa`c
a$Ãpxp%Da v x0B±ahzhp2ij_baWz`^2a'i … .a…Zd v p%Da v
d
x?ap%
^~pWzhxecDilz$'zhxecbp¼^oinc4cDx v a`^~g xincpw^~pinc0JFcDijp( 5 e 6 O 6 xecDg'»ahglgli 2a$E6wy ahz`^dap%Da_ei'inyDilglilpqHiDpilglg
_o^ogl'i »…Ox v xe
y B0ahzhp zhxDcp¼^~i›cDincD€ÃcD_
x xbi›cbp'^opinc0JFcDijp(4i›c p%Da.a`^?"!z`^ogli›y v ^opilxecÃz`^ha&8 q
t< 
9
U^0k (
DaÖp+Dahx v ahpilz`^og v a$ dDgjpI v a$a`cbpa$,^y x_ba»…Ox v zhx vv a$+
xec
incD€#zhxDc
ijp2ijxDc ^bc v ahzhxecp v dDzhp2ijxDc#x~…/zhxecDilz$
^¦_ay
aha`c in|&Dgla`|a`cbpa$BMZc XDahzhpilxec @  t ^c @ ;: [1p%Da)
i'z v in|inc
^oglinp(xo…;zhx v2v a$%
xDc
a`cDzha}zhxec
ilpilxec/^bc
{²dDzhgli
a`^bc v ahzhxec2 p v dDzhpilxec½xo…zhxecDilz$W^ v aDp¼d
ila$»y
xbp%…Ox v in|dDgn^opa$»^c v a`^og:in|}^o€a$¦;MZc½XDahzhpilxec @  q [p+Da
ahk
a v i›|Ùa`cp¼^~g v a$¼ dDglp²
xec& v x0±B ahzhp2ij_ba v ahzhxec p v dDzhpilxec}^c!
p%Dazhxe|&
dDp ^opilxecxo…:p%Daincb_^ v in^cbp^ v a v a$2a`cpa$B
L
P*H2 3a*#!o/&24$TnK*NK/>NS$T3
!$$ki$T%4*NK$L,.2X3
BÑ Õ ÝÐ
Ò`ÑÝÈBÎ
ˍÅeÒ
@ awda'p+Dawz`^ogliny v ^opilxec4|}^op v ijzha$ … v xD|
m &
&$1!.!
B
^ v a`^og p2a v ahx&pa`|Á
#
#
/!.#$*/
!0!!#&
Da$»^ v a'€il_a`cÃy0
"!#$$%!&'()$*+,!$-.&!
+
2
#0.#
"!0 $1
#!#! 3
!0!/&
"!0 !!$%&
! '
"!./#&'()$*+,&.40!
/!&5(.#0/&
"!0 $1.$%.
#!!
!0!!.$1&
!0!,!#
"!0 !!$$%
!
th\
'
+
m @aw^ v a'_eila$.incD€!.ilp%½p%Da$2awp(.x/z`^b|a v ^p(.x/zhxDcDijz$'inco%
^ozha
a$z v iny a$ v a$% ahzhpil_ahg'Öy0ºp%Da'incbpa v Q
ahzhpilxec½x~…¹p%Dad
d
^ v ilz)¼d v …Z^ozha Q ;s ^cÃp+DaDg›^bcDa Q ;s … x v p%Da J v pzhxecDilzwinco%
^ozha/^bc
p%D
aincpa v ahzhpilxecÃx~… +R' ;s ^c R ;s … x v p%Da2ahzhxecBSDaDg›^bcDa R ;s i'Wp¼^0"oa`cº^h y ahincD€
^ v ^~gjglahgBp2x}p%D
aDJ v pUi›|!^o€aDgn^cDa}^cÃ
€xDa$p% v xDdD€#½p%Da'zha`cbpa v xo…E +R8 ;s 
Q
R
#%&
"!!!0, /
! $% ,!
"!0 !!!#
!0 !!&
#%&
!
!!
!!
"!
/
! $% ,!
"!0 !!!!&
"!0 !!!$
!0 !!
!0!
!
!0!
"#!
!!
!!
!
(,!!
"!!!!#
"!!!!$
"!!!0 $
!!
"!
"#!
(,!0 !
&!
!!!&
!!!
!0 !0
"!!&
'*)
R ˜h•©
+
'*)
Q "!!#0 2
˜•©
+
!0+,.& 2
!0+,. 2 "! !# 2 !
!0&,#0 $% 2 !# 2 !
m Da'zhxecDilzi›co%
^ozhai^c
^og'ep2ijz`^~gjg'^ v x?B0ahzhpa$Ãincp2x}in|}^o€a-Dg›^bcDa$ y0ºp+Da'pq.xz`^ogliny v ^opilxec |}^~p v ilzha$`
m Da! v x?B0ahzhpa$zhxDcDijz$inc ni |}^o€a$}^ v a v a$¼^|Dgja$#^h/^Ãgli'p}x~… x incp`Ö{²^oz$ glxez`^op2ijxDc xo… v a$¼^|&Dgla$
xbi›cbpi'
a v p d v y
a$ y?½_^ v eincD€½gjah_bahg'x~… DilkeahgcDxi'awx~…À^}d
cDiƒ…Ox v | i'p v iny
dDpilxec:
m {;^~zg½gli'pxo… a v p¼d v y
a$G xincpUip%Da`c J1ppa$Ãpx}^zhxecDilzxo…9…Ox v |
@ilp%p%DacDx
;= R = 9 = R =
= =C; s H
p d
d
^ v $a !J1p2pincD€#z`^cy
a a`^ilg'in|&Dgla`|a`cp2a$8^»^+glincDa`^ v
v |!^oglir`^~pilxec
; t [gla`^ ,
|incDin|i'r`^opilxec^ v xDzha$1d v aTxp2a'p%
^opWdincD€9
i v ahzhpg'»p%Di''cDx v |}^~gji'r`^op2ijxDc½…Z^oilgU…Ox v ^oglgBzhxecDilz$p% v xedD€
p%Dax v il€inc 5 h
^ ;inc½p%Di'z`^a (;s 6h[p%Di'z`^c}y aWa`^hilg½xo_a v zhxe|ÙaWy?-%Diƒ…OpincD€}p%Da1^~p¼^w^=.^='… v xe| p+Da
x v il€inc4iƒ…WcDahzh$a ¼^ v MZX
c
x v $a ¼dDglp ^ v axeyDp¼^~i›cDa$ dincD€Ãp%Di'/cDx v |!^oglir`^~pilxec:> x v a
v ^ozhpilzha[B_ba v ÀxD#
#x D'i p2ijz`^~p$a cJ1ppincD€^ogl€x v il%p | }^ v aÃxecD'g +cDahzh$a ¼^ v G.Da`c+^
^ ¼|!^oglg ^ v pxo…Wz`d v _!
a 1^~p¼^4i !_ei'inyDgla
^
c ox v %p DaÃz`d v _b_
a 1^op ^Ã'i }_a v Xz`^oppa v $a B P |x v 9
a ahp¼^oilgl$a P
$a z v 1i Dpilxec xecHzhxecDil9
z J1ppincD€z`^c y
a
…Oxed
c ÃinG
c 8;:D[ t < 
!Å
ÛoÈBÎBËhÒ`É BÛoÒ`ÑnÈ.Î#ËhÒhÐ1ØÑ¿ÑnÒ ÆÇ
Å
ÉoɦÈFÉoË
É Ò 9Ñ
BÅ ;
S xecDilz v ahzhxe
c p v dDzhpilxec-.ilp% v a$%
ahzhp²px
iKlBa v a`cpUDilkeahgfa vv x v x~…Fin|}^o€aD
xincbp;i'S a v …Ox v |a$}p2x
a`|xDcp v ^op2a
ilpfp¼^yDilglilp(F9^byDgja t ^c&:+DxW.+p+Da cDd
|a v ilz`^og v a$¼dDglpÀ… x v p+Dap(.xzhxecDilz$inc-%
^ozhaPD;zhxecDilz v ahzhxecp v dDz Q
p2ijxDcÃ'i ^b|/yDil€edDxD
d `[1p+DaxgndDpilxecY… x v p%DaLDgn^cDa-.Dilz$4izhglx?a v px}p%Da-"ecDx.Wco%
^ozha-Dg›^bcDawxo…;p%DazhxecDilzwi'
|!^ v "o$a }incÃy x'g ½… xecbp`Td
|a v ilz`^ogl'g [ .aWz`^c½cDah_a v ^¦_aW^-
a v … ahzhp v ^c":w|}^op v ilk ºMOpi'U.ahgjg"DcDx.Wcp%
^op
cDd
|a v ilz`^og v ^b
c "w'i cDilzhah'g º$z ^ v ^ozhp2a v 'i $a ºinc!pa v | ²xo…9XDm n 8 tt < Mšc}p%DaUp¼^yDgla$xo… v a$¼dDglp`[.aW^og'xzhxe|&
dDpa$
p+Da v ^opilx
c: R x~…¹%p D
a 2ahzhxe
c »gn^ v €b$a p R ^
c 4%p Da'%p Di v »gn^ v €$a D
p incD€edDgn^ v _o^ogndD$a : [ .Dilgz i›c ilz`^op2$a DWx .
cDa`^ v 8'i px}^ v ^
c "9:}|}^op v ilkF Dazhgj0
x a v p2L
x rha v x}xo…
c TRh[ %p DawcDa`^ v a v 'i Wpx v ^bc "_:

P
@a'cDxpilzhawp%
^~p;…Ox
P
: P
a ah€ v ^1^opilxec9.ilp%½p+Da'i›cDz v a`^incD€ DilkDahg9cDxi'aiUahkep v a`|ahg'
v y
xb%p 9%
^ozha'zhxecDil$z `[f%p D
€ v ^ozha …ZdDg  Di'½i½€ v `a ^~pg'P1dDa»pxp+
^op}zhxecDilz$Ã^ v aÀglxey
^ogD v in|ilpil_a$`[ |}o
^ glgDilkeahg'a v2v x v }^ v a4_a v c.ahgjg
hz x vv ahzhpa$»y0ºp+DaJ1ppincD_
€ v xezh$a ¦
ÃÑ¿Ë`ÛbÉÑ ÕÑOÎ:УÑÝÒ Æ È WÛoÈ:ÉɦÅ
Ë È.Î
Ê.Å1ÎBÛoÅ ÛoÈBÎBÊ9ÑÝÒ`ÑÝÈBÎ
.x&
a`|xDcp v o^ p2a'p%Da
i'z v in|inc
^oglilp( xo…¹zhx vv a$% ex c
a`cDzhazhxec
ilpilxec`[B^-ahpUxo…;_a v 9in|ilgn^ v zhxecDilz$Wi'€a`cDa v Q
^~pa$
y0 a …Ox v |Ùi›cD€4p%Da½i›cDilpin^ogxecDa!Da
a … x v |}^opilxec i'-
a v …Ox v |a$+y0 ^h
i›cD€^
iKlBa v a`cbpwglah_ahg'xo…DijkDahg
t2@
²“`”lœZ‘
!0 ,!
#
"! ,!
"! ,!
$*
!0 ,!
/
R
Q
!0 ,!
! ,!
!#. /!
!# /!
&0
ªn˜•‘;že˜”l™ 2
³
³!"$##1³%&
#'(#')!'$*
! /!
Q
!+/ ,!
V
!0 ,!
V
: R R
Q
R
(+
!
³. 2 !
!0"
#'($%"!(
!! f³2 !!,&##
-!'!$ 2 .
##!'&,&& ##*
O³$"!
(
R
³$'(-'(
³!"('"$+1³%&"('"-)!'(/*
"!.. 2 !0 #$%#.. 2 !!#!. 2 ##&$% 2
2
#
2-#)#&,
# 2*
³$"!'($.("#
³. !!0 #($$1##. 1³!!1(!#$.
"!# 2 !0 ##$$% 2 !!/$%0 # 2 #!! !!#$
!0 /
!!!#
!0 .
!!!#
#
!!&
$1#
!!
^yDgla t }Vahzhxecp v dDzhpilxec v a$¼dDglp… x v p%DaJ v p)in|/dDgn^op2a$zhxecDilzÃincX%
^ozha9.ilp%G
iKlBa v a`cbpLDilkDahga vv x v … x v
in|}^~€aH xincpy
a …Ox v aJ1ppincD€1 TR^c
^ v ap%DaDahzhxecÃ^c½p%Dap%Di v ½gn^ v €a$pfincD€edDgn^ v _o^ogndDa$x~… p+DaHDgn^cDa
:
^~i v |}^~p v ilkF43 i'p%Da
iKlBa v a`cDzha'xo…9cDx v |!^og
i v ahzhpilxec
x~… p+DaDgn^cDa ^bc53 i'²p%Da
iKlBa v a`cDzhaxo…
i'p¼^cDzha
xo…%p D
a Dgn^cDa .Uijp+Ãp%
^opxo…p%Da"DcDx.Wc!Dgn^cDa
²“`”lœZ‘
"! ,!
#
"! ,!
!0 /. ,!
$*
!0 ,!
&7
&7
"!#! ,!
&:
!0+,. /!
!0+,! /!
QR
:R
:
:
:
!0 /!
Q
!0# /!
:
!0! /!
ªn˜h•b‘žD˜h”l™ 6 2
³!--$-
³!#'$+$"8!-
-"9($(*
!0+,& /!
QQ
QQ
!0! /!
:
$%#& 2 !#&# . 2 "!0 !/&& 2 & !#$ ³"!
!-'(&
³!#'((8!-"(#$"(#9!-$&*
"!$%#$% 2 !#&$$ 2 "!0 !/&&!# 2 & !0,1 ³!-'('$$+
³!#'(8!-"$-9!-$'-(*
"!$*/$ 2 !#&.1 2 "!0 !/ $% 2 &0 !
2 !#&!! 2 "!0 !#!.& 2 & !#
³"!
!--(#$%0- ³$ !#'$#'('8!-($(9#(-*
!0+,
!!
!0!
!!
!0 $%
!!
!0.#
!!
^yDglL
a : ;Vahzhxe
c p v dDzhpilxec v a$¼dDglp…Ox v p%DaahzhxDcIin|dDgn^opa$»zhxDcDijzincI+
^ozha.ilp%!
iKlBa v a`cbpDilkeahga vv x v ²
…x v
in|}^~€a
xincbp'y
a …Ox v aDJ1ppincD€1
a v p¼d v y
^~pilxec4…Ox v p%Da-
i'z v ahpa$ zhxecDilz_
xbi›cbp`[.p%Da`c,J1p'p%Da
i2p¼d v y
a$c
xincbpwpxÀbahp'p%Da}cDa$.8zhxecDilz_Da
zhglx?2a`cDa$xo…Fp%Daahp;xo…Bp%DaUzhxecDilz$€ba`cDa v ^opa$inc}p+Daahzhxec½in|}^o€az`^bc}y
aD
a$1dDzha$}… v xe|RNil€ed v a q inc.Dilzg
…Oxed v x~…¹%p Da`| ^ v a 'i %Dgn=^ $a B
9^byDgja q %Dx.p%Dazhxe|&
dDpa$
…Ox v a`^oz$9
^oi v o
x …9zhxecDilz$`fDaw^yxgndDpa_^~g›dDa'x~…
i›cDz v a`^a$.ilp%½p+Da
incDz v a`^hincD€!
i2z v a2
^cDz$ xo…zhxecDilzk
^~i v `WTUxpa'p%
^~p ^ DQi'w^glil€#p2g,
a … x v |a$»_ba v ilxecÃx~… ^bc
Q xo…
Q [1^hS dD€€a$pa$4incÃp%Da'p¼^byDgja
[
ilpi'd
dDilpa v a`^xec
^yDgla'p%
^~p DQ;i''^zhglx?apx
^ p2x
P B
B
; ;
Q
; !-<$ ³=
³,"<$ ³
;
!$$ki$T%4*NK$L,.2X3
?
È:ÈBÊ.Å1Î
QB
"!.# ,! ³
1"(">
^yDgla q  Dawzhxe|&
dDp2a$
zhxDcDijzxo…p%Daahzhxec4i›|!^o€a
LH
P B
P
È B ËhÅÖÑ Õ
/
;
RB
*P
;
P B
V
"!&# /! V
"! $%# /!
…Ox v a`^oz$!
^oi v xo…zhxecDilz$
:B
V
"!0 $1 , ! V
"!0 &0 ,!
^c
[
VP 4
P B =P 4
6
;
VB
;
/B R
EP
;
:
RP B
B Q
:
!#$",!
!0! /! R
!0 #. ,! Q
:
!+/& ,!
!0 /!
!0 #. ,!
'i W^zhxDcDijzxo…p%DaDJ v pin|}^~€a/^c
P B
6
^
P*H2 %4$T/o
*K/>NS$&3
Ð
Ü1Å
Ë
@HaJ
d a$ ^&.xDx#
a`c,Dxedawin|}^~€a-a$dŸdDa`cDzhap%
^~p.aL
^¦_awy
aha`cօ v a$d
dDa`cbpg'»da$4… x v ahgƒ…£QZz`^ogliny v ^op2ijxDc:
v p'
{ ^oz$z`^|Ùa v ^^
x?ilpilxec i'z`^ogliny v ^opa$ .ilp% v a$%
ahzhp!pxÖ^4zhxDx v inc
^opa½… v ^|a½^xDzhin^opa$+px4p%DaºxDyB±ahzhp/inc
²
_Dila$.w Nil€ed v a \ ilglgndp v ^op2a$ºxecDa½xo…'p%DaÃin|}^o€a$incP.DDijz$P.a½z`^ccahaÃp%DaÃz`^~gjiny v ^~pilxec+zhxDx v inc
^opa½… v ^|Ùa
h^ xDzhi›^~p$a px}p%Da-zha`cDa}^c p%Dap% v ahazhxecDilz$.a/da$4…Ox v ahk
a v i›|Ùa`cp¼^~pilxec:Da-pa v ahx!
^oi v xo…;in|}^o€a$
0^ a`^ v inc Nij€Dd v a @ ino
c .Dilgz p%Dahi v zhxecbpxed v in|}^o€ba$W^ v a
i'%Dgn^=a$B
t`]
300
280
260
240
220
200
180
160
180
200
220
240
260
280
300
320
340
360
Nil€ed v a q  Da… xDd v hz xDcDijz$Uxo…9p%Daahpxo…€a`cDa v o
^ pa$!2i›|Ùijgn^ v zhxecDilz$`;M … .aglxex#"½^opzhxecDilz$… v xe|
inc %p Da
x.WcbQZgla … p
^ v p xo…p%Da'zhxecDilz$`[fp%Da$½zhx vv $a % xec»p2x V`[ [ W^bc

P P PQ/
P
v il€#bppxgja …Op
:
Nil€ed v a \  E'cDaWx~…Fp%Dap(.x'x v il€inc
^ogfin|}^o€a$²i›c.Dilz$}p%DazhxDx v inc
^opa#p2a`|R…Ox v z`^ogliny v ^opilxec½^c½p%DazhxecDilz$
d 2$a Öinc p%DaahkC a v in|a`cp ^opilxec ^ v a|}^ v "oa$B.x_
^¦_a^cÃi'
a`^½xo…p%Da v a`^og2irhaxo…;p+DawxeyB0ahzhp`[ ^c
^ v aw|a`^¼d v a$»^ t`q @ ^c^: @ 
H
Nij€Dd v a
?H
@  Dazhxecbpxed v in|}^o€a$xo…9p%Da)pa v ahx&
^oi v xo…i›|!^o€a$`
t
" P
160 165 170
70
80
90
100
110
120
410
420
430
440
450
140
460
150
230 235 240 245
160
170
Da
^oi v xo…in|}^o€a$UiUp v a`^opa$»y0º^}SU^c
c?bQZgli1"oawa$
€a)
ahpahzhpx v [ep+Da`c½gjinc"oa$ incbpx}zhxecbpxed v z$
^oinc`SDa
zhxDcpxDd v z$
^oinc'xo…;p%Dap% v ahazhxecDilz$`[:p%Da&
^? a v zhxecDilz[:p%DazhxecDilz/x~…;p%Daz`dÖ^bc»p%DazhxecDilzxo…;p%Da&Dgn^pilz
z`
d ½^ v a ahglahzhpa$»y?&
^c!… v xe| p+DaWzhxecbpxed v z$
^oinc`Nfx v ^bdDpxe|}^op2ijzahglahzhpilxec½xo…Bzhxecbpxed v z$
^oincxo…BzhxecDilz$`[
xDcDa/|}=^ v a … a v p^
x 8 q7s <  Da)ahglahzhpa$ zhxecbpxed v zg
^oinc'^ v ap%Da`c9J1pp2a$ y0Ãp%Da- v xezha$1d v aL
a$2z v iny
a$^y xo_a
Nil€ed v a ] ilgjgn
d p v ^op$a %p DawzhxDcpxDd v $z ^oin
c '^
c »%p DD
a J1p2pincD€ v a$¼dDglpxo…p%Da'p% v aha'zhxecDilz$`
130
5 yL6h
265
270
275
280
285
5 ^16h
5 ze6h
Nil€ed v a ] !DaÃzhxecbpxed v zg
^~i›c½pxy
a9J1p2pa$#^ v a!
i'%Dgn^=a$#inc gjincDa,ah€e|a`cbpº^c+p+Da&J1pp2a$+zhxecDilz$Y^ v a
xbppa$B 5 1^ 6hBp%Da-
^?
a v zhxecDilz 5 yL6p%Da'zhxecDilzwx~…¹p%Da'z`d: 5 ze6hp%Da'zhxDcDijzxo…p%DaLDgn^p2ijzz`d:
Dazhx vv $a +
xec
a`cDzha$xo…;zhxecDilz$p% v xDdD€#4pq.x½in|}^o€a$w^ v aÙd
c
^b|/yDil€edDxDdg'Öa$2p¼^yDgli'%Da$
p+Da'zhxe|&
dDpa$
xo…F9^yDgla \ 
žD˜hžD‘™
³!-
žD˜hžD‘™
¥¬ž
žªn˜hœZ–š”l¥
#
"#&0
­
¥¬ž
žªn˜œZ–Z”l¥
³ &0 "!
,³!!"$ #)$*
y0 zhxe|&
^ v i›cD€
^yDgla \  Va$¼dDglpxo…p%DaWzhxD|&
dDp¼^opilxecÙxo…
inc}x v a v p2xwa$p¼^byDgji'%½p+DaWzhx v2v a$%
xDc
a`cDzha$xo…Bp%DazhxecDilz$`SDa
v ^2. a`cp v ija$zhx vv a$%
xec4px½p%DawzhxecDilz$'xo…p%Da J v pi›|!^o€a/^bc»p%Dazhxgnd
|}c4a`cp v ija$px}p+Dx?awx~…¹p%Da)ahzhxec
in|}^~€a
Da v ahzhxDc p v dDzhpilxec v $a ¼dDglp ^ v ailglgndp v ^~pa$Ãinc_^yDgla @  .xL
^¦_a^ci'
a`^xo…Bp%Da v ahzhxec2p v dDzhpilxec v a$¼dDglp`[
a`^~zg^Dgn^cDa½a$dŸd
^op2ijxDc»i'-
dDpwd
c
a v p%Da…Ox v | 5
]Y> 6.Da v a
i''p%Daºd
cDilp/cDx v |}^og
i v ahzhpilxecH_ahzhpx v xo…
p+Dk
a Dgn^cDaÃ^
c 'i w%p Da 'i p¼^cDzha!xo…p%Da!x v il€inc pxÃp%Da&Dgn^cDa9Da_Dgn^cDa&.Dilz$ zhx vv a$%
xecpxÃp%Da v a`^og
2xgndDpilxec:[1$z Dah$z "o$a »?y »0^ DgDincD€º+p Daw_Di 2i›yDilglilp(Öp2a$p`[Di' |}^ v "oa$Ãinc»y xg'ÅOxecpUi›c p%DaDgn^cDa&
^oi v ;Vahz`^~gjgp%
^op
p+DaWzhxDx v inc
^opa … v ^b|a…Ox v z`^ogliny v ^op2ijxDc½i ilglgn
d p v ^op2$a Ãi›c!Nil€ed v a \ [+p DH
a ^? a v zhxecDilzWglil$a inc}+p DaW_a v pilz`^ogDgn^cDa
;s p?DazhxecDil$z xo…1+p Da;z`d ^c %p DSa Dgn^ 2pilzz`d glilaW^ogn|?x 2p9inc%p DSa Dgn^cD$a U
^ v ^oglglahgDpxW+p Da Dx v 'i rhxecp ^o#g Dgn^cDa[
^b
c »%p D&
a Dgn
^ pilzz`
d 4i''gjilpp2gj9
a Dij
€ Da v %p ^cÃ+p Dawz`
d :PWglg%p D$a 2a'…Z^ozhp '^ v awzhxD0
c J v |$a ?
y Ã+p Da v ahzhxe
c 2p v dDzhpilxec
v $a ¼dDglp `
že˜hžD‘™
¥2¬ž
žªn˜hœZ–š”l¥
"!!#
"!+
"!.
"! ,!
"!+ ,!
"!0 )$",!
&0
&0
:R
ªn˜h•‘že˜”j™ 6
2
³!(.!##'(8!#$
³%&&*
!0!#
!
2 ³!0 0!/'( -2 "!
!/!#.## $2 #
"1³ &#,
"*
³!!
("&
")
!0!,&
2
2 .& 2 #.+ .
.
&
1(!0- '(
- ³!0
!#($%&! -!
)!##((f³$*
"! $1#& 2 !0+,&! 2 !&& 2
!0$
/&##
9^byDgja @  Da v ahzhxecp v dDzhp2ijxDc v a$¼dDglpxo…¹p+Da'p% v aha'zhxecDilz$xo…¹p+Da.xDx
a`cIDxeda'in|}^~€a$`
t`r
ɦÅDÐ
ZÐ1ˍÒÙÑ Õ
Ð
Ü1Å
Ë
@Hawp%Da`c
d a$^ v a`^ogpa v ahx9pa`| zhxedDgla$pxÃ^ v xDy
xp`[fp%Da)pa v ahx9pa`| i'xhlFQZglincDa}z`^ogliny v o^ p2a$ .Uijp+Ö^
+
ahzhin^ogBz`^ogliny v ^op2ijxDc½xeyB0ahp` DaWin|}^~€aH
^~i v xo…Nij€Dd v a i'p¼^?"oa`c!y?}p+Dipa v ahx)#2pa`|Á Da v xezha$… v xe|
a$
€ba&
ahpahzhpilxec p2xÃzhxecDil&
z J1pp2i›cD€4i'wp%Da& ^|a}^'incp+Daº^y
xo_aahk
^|&Dgla_Da-J1ppa$zhxDcDijz$^ v &
a +DxW.c»inc
Nil€ed v a r 
 DawincDilpin^og/2pa v ahx_
^oi v
Nil€ed v a
x~…Ày v a`^0"o…Z^pin|}^~€a$`
500
400
300
200
100
0
0
100
200
300
400
500
Nil€ed v a r 9Nilpp2i›cD€½xo…p% v aha'zhxecDilz$incÃxecDa'xo…p%Dawy v a`^0"o…Z^pin|}^~€a$`
Da'zhx vv a$%
xec
a`cDzha$'^ v awd
c
^b|/yDil€edDxDdg'»a$p¼^byDgji'%Da$ y
^a$4xec½p%Da
^oi v .i'a
§ “h¨ª
D
©”lœZ”l•œZ”l©‘
©”lœZ“¦¬–Zœš”j©b‘
§D“h¨ª
³!
©b”jœš”j•bœZ”l©‘
©”lœš/“¦¬–Zœš”l©‘
/! ³!
0
!
³!($ ".0 !
"0 $
0&
[%Dx.Wc½inc,9^yDgla ] 
^yDgla ] S
 Dazhxe&
| dDp¼^~pilxec½xo…
…Ox v a`^oz$I
^~i v xo…zhxecDilz$'xo…pq.xin|}^o€a$¦Da v ^=.a`cbp v ila$Wzhx vv a$% xec»px
p+Da'zhxecDilz$Wxo…p%DaDJ v 2pin|}^o€aw^c4p%Da'zhxgnd
|}c a`cp v ija$pxp%Dx?2a'xo…¹p+Daahzhxec»in|}^~€a
^byDgja -+D xW.W
9
p%D a v ahzhxecp v dDzhpilxec v a$¼dDglp`DBx!
^¦_a/^ v xedD€# i
a`^½x~…;p%Da v ahzhxDcp v dDzhpilxec,d
d
^oglilpq[:p+Da
Dahil€#bpxo…p%DawzhxecDilz$U… v xe| p%Da'€ v xed
cB[1|a`^ d v a$I.ilp%4^ v dDgla v [:^ v a v a$+
ahzhpil_ahg' r H @ …Ox v y
x.gO[ q H s …Ox v i'% xedDp i'
a ^cb?: H q i'%+inci'
a ^~pº|}^?"oa$½^^
iKl a v a`cDzha»xo… @ H @ y
ahp(.aha`c#y x.g^cb
i'%
xDdDp i'
aÖy x v a v ^c s H y
ahp(.aha`cc
i++inci'
a^c+xedDpi'
abE'yb_DijxDdg'#p%DaIDgn^cDa$½xecc.Dilz$+zhxecDilz$
glila!%D
xedDg'+
y
aÃ^oglgS
^ v ^oglgjahgpxÃp+D aº€ v xed
cB
!D a}zhxe|&
dDp2a$ iKB
l a v a`cDzha½xo…p%D a_D ahil€#b p}
^ v a @ … x v@ H @ t
A
H
H
H
^bc s r … x vUs UDa
iKlBa v a`cDzhaxo…SDgn^cDax v ila`cbp¼^opilxec^ v aL: ] y
ahp(.aha`c»y
x.g^c»inci'
aº^c
y ah(p .aha`c½inci'
a}^c4xedDpi'
a/y x v a v 
t
H
‚'d
^cbpilp¼^opil_a'zhxecDzhgndilxecz`^cÃcDxpy
a v ^2.c… v xe| p%Di'D1dDa'px}inc
^ozhz`d v ^oz$½xo…z`^|a v ^z`^ogliny v ^op2ijxDcÖ^bc
i vv ah€edDgn^ v ilp(}xo…BxeyB0ahzhp`.P cDxp+Da v in|&
x v p¼^cbp…Z^ozhpx v i';p%
^op²p%Da x v zhahgn^oinc½xeyB0ahzhpS
^¦_a¼|xDxp%Da$ºy x v a v `[
p+Dahi v in|}^o€a'zhxDcpxDd v ^`_ba'p%Dawa+lBahzhpxo…;^}|xo_eincD€}p ^cD€a`cbpin^ogBzhxecbpxed v 
§e“h¨ª
©”lœZ”l•œZ”l©‘
©b”jœš“`¬–šœZ”l©‘
:R
ªn˜•‘;že˜”l™ 2
1#$
³!(#-f³!'
#('9(!*
!0!!
$%&.
!!!&
2 $%#
/
³$1 2 !#!0'((/f³
& 2 !0
1#("!-0 !#' -&1
)"1(#'*
"!!!!
#$ #
!!
2 +,#
2 !0
1#$'
³!$!0$$%'#f³
,0,(!! 1
)"1(*
"!!!!
#!0#
!!
"!0 /#$1& 2
"!0 )$%! 2
!0$%0 2 !0 !!# 2 1
9^yDgla FDa v ahzhxDcp v dDzhpilxec v a$¼dDglpx~…¹p%Da'p+ v aha'zhxecDilz$'xo…9p%Day v a`^?"~… ^hpi›|!^o€a$`
Txbpilzha/+p ^opWinc4p%Di''ahk
a v in|a`cbpwp%Dazhxe|
dDpa$
inc^^yDglaº^ v a/|dDz$ Dil€#Da v p+
^c4i›c4p%Da& v ah_Dilxed
ahk
^|&Dgla$`9Mx.ah_a v p%Da v ^~pilx?'xo…S2i›cD€DdDg›^ v _^~g›dDa$}^ v aL |}^oglg;a`cDxedD€ px½i›c
ilz`^op2aºp%Da½ced
|a v ijz`^~g v ^ c" xo…
p+Daw|}^op v ilk º
'i v ahgn^opa$4pxp%Daz`^oglawx~…¹p%Da v xeyDgla`|-`
P
Lgf
C'0Kik 24/T24*N'0,K'&)2 !$*N,0-0/%4*N/,.243
@Ha
^`_ba'ahkC
a v in|a`cp2a$Öp+Da'zhxe|&
dDp¼^op2ijxDc½xo…¹incb_^ v i›^bcpD.ilp%½p%Dawy v a`^?"o…Z^pUi›|!^o€a$`
MZc%p D'i ah
k a v in|a`cbp¼^opilxec:[D%p Da²…Zd
c1^|a`cbp¼^og
|}^op v ijki'J v pahkDp v ^ozhpa$ … v xe|p+Dap(.x v x?B0ahzhpilxec|}^op v ijzha$
v x_Di'
a$»y?!p%Da2pa v ahxwz`^~gjiny v ^~pilxec:SDa`c:[ep+DaWp(.xL v x0B±ahzhp2ijxDc}|}^op v ijzha$d½px^zhxglgjincDa`^op2ijxDc»^ v a v a`^ogli'a$
y0p%Da…Ox v |dDgla \ /Da;zhxecDilz$^ v a;p+Da`c v x?B0ahzhpil_ahg' v ahzhxecp v dDzhpa$BMOp:…Oxglglx.9p+Dai›cb_^ v in^cp¹^ v azhxe|&
dDpa$
… v xe| %p D'i v ?
x B0ahzhpil_a v ahzhxD
c p v dDzhpilxec:
§e“h¨ª1˜•©©”lœZ“`¬–šœZ”l©‘
µ ­
, ­ .$1
# ­ /#.
+# !,#. -
#
$
§D“h¨ª1˜h•b©/©b”jœš”j•bœZ”l©‘
­
, ­ .&
! ­ .#
!/!.2.&-, ©”lœšw”l•œZ”l©‘˜•©©”lœZ“`¬–šœZ”l©‘
­
­ ,#$%&
$ ­ $%#.
#
/1$ ($%(
$ "
^yDgla r fDa v a$¼dDglpxo…9p%Dazhxe|&
dDpa$Ãincb_^ v i›^bcpU… v xe| p%DaL v x?B0ahzhpil_a v ahzhxecp v dDzhpilxec½xo…p%Da'zhxecDilz$`
P -.aI"DcDxW. %p ^~p/p+ v ahaºzhxDcDijz$Ã^ v a½p% v ahaÃzhi v hz gla$Ã^oglg
^ v ^~gjglahgp2xÖp+DaÀ v xed
cB[À… x v ^^
^oi v x~…H
^ v ^oglglahg
zhi v zhgla$`[fp%Dai›cb_^ v in
^ cpUa$dŸd
^og' \ ^ozhzhx v i›cD€½pxp%Da … x v |/dDgla 5Oq 6h
P ).a_
^¦_aºp+Da… dDglgz`^ogliny v ^opilxec x~… p+Da_p2a v ahx1[.a!
^¦_aº^og'x^
a v …Ox v |a$XJ v pp%DaÃ{;dDzhgli'
a`^c
2p v dDzhpilxec:[
p+Da`c½zhxe|&
dDpap%Da'inc_o^ v in^cbp… v xe| p%Daw{²dDzhgli
a`^bc^%
^ozha'zhxecDilz$`
§e“h¨ª1˜•©©”lœZ“`¬–šœZ”l©‘
#
$
+!("#
­
#­ ! &!
# ­ ,#0 $%.0
.$ $%#&
§D“h¨ª1˜h•b©/©b”jœš”j•bœZ”l©‘
­
$%&$ #
/! 1.
­
!­ !&
! .$%
^yDglaLA
 Da v a$¼dDglpx~…¹p%Da'zhxD|&
dDpa$»incb_^ v i›^bcp … v xD|
©”lœšw”l•œZ”l©‘˜•©©”lœZ“`¬–šœZ”l©‘
­
$ ­ $%#$%&
$1# $ /$ !$%
­
$ %
$ ###.
{;dDzhgli'
a`^c v ahzhxecp v dDzhpilxecÃx~…9p%DawzhxDcDijz$¦
Da'zhxe|&
dDp2a$»inc_o^ v in^cbpW^ v a'_a v Ã^ozhz`d v ^opaw^bc!p¼^yDglawinc4y
xp%½z`^ha$`
: s
v ahzhxecbQ
f
DiD
^?
a v v x#
x?2a$Y^cÃ^~gj€ba`y v ^oilz'inc_o^ v in^cbp… x v ^-
^oi v xo…¹cDxDcbQZzhx#Dgn^c
^ v zhxecDilz$inc9%
^ozhaD.ilp%½p%DaDahg1½xo…
v x?0B ahzhpil_aw€ahxD|ahp v Ã^c»zhgn^ilz`^oginc_o^ v in^cbpWp%Dahx v Da v ahg›^~pilxec%Di1y
ahp(.aha`cÃp+Daw€ahxe|Ùahp v ilzwincb_^ v in^cbp
5 i›c pa v |- xo…z v x? v ^opilx?E6^bcÃp%Daw^ogl€a`y v ^oilzi›cb_^ v in^cpi'W^og'x}a$2p¼^yDgli'%Da$BPWgl€a`y v ^oilzwinc_o^ v in^cbpxo…9xp%Da v
zhxDc01
J €ed v ^opilxecÙzhxe|&
x0 a$º
x~… zhxDcDijz$
z`^c!y
aD
ah_ahglx#
a$Ãinc½^in|ilgn^ v .^2Mšcpa`^}x~… zhxDci'
a v incD€}p%Dapa`|
x~… ^
^~i v xo…Ÿ
d d
^h v ^opilz…Ox v |-¦ [
. aUz`^czhxec i'
a v p%D a2 i›|dDglp¼^cDahxDdincb_^ v i›^bcpxo…:gli›cDa`^ v …Ox v |k;^c_d
d
^ v ^~pilz
…Ox v |k` 
MOpi''
^og'x½i›cbpa v a$2pincD€ºpx!zhxeci'
a v p%Da+
ahzhin^ogz`^a.DDa v awxecDa'x~…;p%Da'zhxecDilzip%Da^yxgndDpazhxecDilz_8;:?: < 
Da'i›cb_^ v in^cpD v x#
a v pila$ ^xezhin^op2a$Ãpx}^L
^~i v xo…¹zhxDcDijz$^ v a'zhxecb_a v pa$½incp2x}p%Daw|ahp v ijz v x#
a v p2ija$Uxo…¹xDcDa
zhxDcDijz)
. ilp% v a$%
ahzhpp2x}p%Daw^yxbg›dDp2awzhxecDilz
MZc x v a v px}zhxe&
| dDp2awp%Di'i›cb_^ v in^cp… v xe| pq.x}d
cDz`^ogliny v ^opa$Hi›|!^o€a$xo…;p+DawzhxecDilz$`[.aL
^¦_a v x# x?a$
^ xgndDpilxec+p2xzhxecDilz v ahzhxDcp v dDzhpilxec … v xe| p(.xÖin|}^~€a$º^c>zhxecDilz»zhx vv a$%
xec
a`cDzhay ahpq.aha`c pq.x in|}^o€a$
N
.Uijp+Di›cR^+d
cDiKJ1a$R… v ^|a$.x v "H…Ox v y
xbp% v x0B±ahzhpil_a^cR{;dDzhgli'
a`^cRz`^a aX
a v il_a$,p(.xP
xg'
cDxe|in^og
zhxD
c ijp2ijxD
c ; s ^c ; s p2x»a$p¼^byDgji'% p+Daºzhx v2v a$%
xDc
a`cDzha$}xo…zhxecDilz$`MOpi'}^og'x^%Dx.WcHp%
^opwp+Da
zhxDcDijz v ahzhxe
c p v dDzhpilxec½'i €a`cDa v ^~gj'g »^|yDil€edDxeddÃpxp(.xxgndDpilxec¦[F^cÃxDcDgÃd
cDi'dŸdDa … x v cDxec½p v ^bc%
^ v a`cbp
xD
y B±ahzhp inc»{;dDzhgl'i a`^c4z`
^ a
@
Da}zhxecDilz v ahzhxecp v dDzhpilxec|ahp+Dx#G+DxW.c i'L2i›|Dgja v ^c |x v a&2p¼^yDgla}inczhxD|&
^ v i'xecN.ilp%ahkDi'pincD€
|Ùahp%Dx#¦[e^p%DaUi›cbp v incilz v x# a v pila$xo…Fp%DaD v xeyDgla`|8^ v a… dDglg'}ahkDglxilpa$BFDaahk
a v i›|Ùa`cp¼^~g v a$¼dDglpy
^a$
xDcy
xp+^ in|dDg›^~pa$ ^bc v a`^og²i›|!^o€a$wzhxDc0J v |p%
^~p
i'}^9
i2z v in|inc
^opil_aÃzhx vv a$%
xec
a`cDzhaÃz v ijp2a v ilxec^bc
p+D
a v ahzhxec p v dDzhpilxec»|ahp+D x#Ã
i''
^ozhz`d v ^opaw^bc»ced
|a v ijz`^~gjg',p¼^yDgla
-
f
U
Di.x v "i' ^ v pg'¼d x v pa$wy0w{;d v x#
a`^c'{s% v ilpV Pb v x?B0ahzhpBmil_^.Dilzg i€ v ^~pa … dDglg'w^oz$"ecDx.gla$
€a$B
!es k
8 t+< {'^ vv ahpp`[>+;M v ilglg [BT TM^^o€1[1^bc j>+ ^2Dpxec:²MZcb_^ v in^cbp'glincDa`^ v Ù
| ahp%Dx#inc^Dxpx€ v ^|Q
|ahp v ^bc |x
ahgƒQ±|}^opz$DincD€1MZc 1>d
c^c+P:i'2a v |}^c:[a$
ilpx v `[ %O Z LO=Q ]%e 3 +Y2R0]%e R?Y 3 9
O eY
Z \ Q O2]e ge Z?Y1[
^o€ba$: :?A?:
Da>M v a$`[ t A?A0:

8;: < N La²xex#"0pahinc:NilppincD€}zhxecDilzDahzhpilxecp2xz`^op2pa v a$91^op¼^
 Z \ Q O2] ](R+\#e 3 R?Y
e Y3e [
A  @ ] t [ t A ?
A 
-R#OS](Z 3 O
+[
8 q=< X:FS^ v 'g xec: v x?B0ahzhpil_ahg'»incb_^ v in^cbpD
ahzhxe|&
x0ilpilxec xo…FDgn^c
^ v %
^? $a `MZc 1>d
c»^c /
P :i'a v Q
|}^c:[
a$
ilpx v `[ +O Z -O2Q ]+e 3 %Y 2R?]+e R0Y 3 Oe Y Z \ #Q O=]e$e Z?Y1[
^o€a$D: ] C: ] #
Da> M v a$¦ [ t A?A?: 
8 \< 1  n ijk
|ila v ‚'dDahg'dŸdDa$^%
ahzhpS
agn^'p%ah x v ila
a$²i›cb_^ v in^cp` R $O2Q Q O ? O ^R?QO LR0Q e 3 e O=Y h
[ \eq  q A ]o\ [
e^cDd
^ v t A?A s 
8 @=< { 4{glglilxpp`Y +YQ ](Z 3 Q e Z?YPQ Z^Q#OT #O 7 ](RIZ 4 R?YQ e 3 ÃSDahg'a`^ ;d
yDgli'%DincD€+Sxe|&
^c0[Ta$.
x v "f[ahzhxec4a$
ijp2ijxDc:[ t A t`q 

8 ]=< E 1N:^dD€a v ^¦ @ ^opz`^cÃy a aha`c incÃp% v aha
in|a`c2ijxDc.ilp%»^cÃd
cDz`^~gjiny v ^~pa$^pa v ahx v il€MZc u  X
^cbQ
i›cDiO[fa$
ilpx v [S](Z 3 O+O 0e Y3 Z 4 Q #O ?Y (] Z+\CO+R?Y Z?Y 4 O2](O2Y 3 ODZ?Y Z \ Q O2] e$e Z0Ya"! R?Y Q R#^R?]* #O=]%e Q R
$ e ](O %Q R?T o[
^o€a$ @b]q @ r e X v incD€a v QZ
m a v gn^o€1[ >^= t A?A?: 
8 < E9N:^dD€a v ^h`
€a`cDzha+
>  M2;'
]qO+O$[&%He
-O2Y ge Z?YR0T Z \ #Q O=]'e$e Z?YG[(
v a$`[
S^|y v i'
€a[> P[ t A?A q 
: t
O+Z O2Q ]+e 3
e O9\CZ?e YQO!P v piKJ1zhi›^~gincbpahglgli Q
8 r=< E n :
 NF^dD€ba v ^`[‚;'BLBdDxecD€f[9^cX: 1>^=Ÿy
^bc"1}S^b|a v ^ÃXDahgƒ…£Q±SU^ogli›y v ^opilxec:&Dahx v b
^ c{k
a v iƒQ
|a`cp`Mšc u 1
 X
^c
incDiO[:a$
ilpx v [ S](Z 3 O+O 0e Y3 Z 4 Q#O?Y ](Z+\CO+R?Y Z?Y 4 O=]qO=Y 3 OZ?Y Z \ #Q O=] e ge Z?Ya
!R?YQ R ^R?]* #O=]%e Q R$ e ](O %Q R0To[
^o€a$ q : t qbqo\ eX v i›cD€ba v QZma v gn^o€1[>^2 t A?A?:

8;A < > bN1a vv i [DN>^cD€ilgliO[1^c u min^cDx1 v x?B0ahzhpil_a
x?2aWa$p2i›|!^opilxec!xo…BgjincDa`^ v ^c9d
d
^ v ^opilz v ›i |Ùijp2ij_ba$
i›cH|xecDxDz`dDg›^ v zhxe|&
dDp2a v _e'i ilxec: Z \ #Q O=] /e $e Z?Y ]qRg\#e 3 &R?Y -R#OS](Z 3 O $e Y3e[ @brT50t 6h ]] ro\ [
edDg' t A?A q 
8 t`s=< n eNfx v Dp%:[ 1 L>d
c[
P ia v |}^c:[
S'
Sxbahg Dxf[ePMahglgla v [1^bc»S'
Vxp%0.ahgjgO;Mšc_o^ v in^cbpU
a$z v i1bQ
px v U
…x W
]qR0Y $R 3 Q e Z?Y Z0Y ¼[ t¦qT50t`s 6;A t AWA t [#EzhpxDy
a v
v q n xey0B ahzhp v ahzhx€ecDilpilxec^cG x?a
t A?A t 
8 tt+<wu ; M u x gnd
y#^bc#S' Nm;^c+L:xe^bc: ^R?Q ]+e
Z \ Q R?Q e Z?Y1PDa x#
c_MUx#"binc cDil_a v ilp(
^~gjp2i›|Ùx v a[ t A r A

8 t : < 9 uwv x?½^c#L;‚'d
^c:
²[
LBMON;M P/[
8 t`q=< 9 uwv
\ #Q O=]
! 3 e O2Y
x B0ahzhpil_a»MZcb_^ v i›^bcpم x v mWi'ilxec: B
ahz$
cDilz`^og'Va2
x v pYV
v ?
uwv `a cDxeyDgla[1N v ^cDzha[ n ahzha`|y
a v t A?A?:

A s M5> P u
v a$`[
Q t2@
n v x0±B ahzhp2ij_ba'i›cb_^ v in^cp… v xe| p(.xi›|!^o€a$`MZc +O Z -O2Q ]+e 3 ^O2Q#Z e Y Z )[
e$e Z0Y ! %YQ O=]%YR?Q e Z?YR?T ! \CZ ge Z?Y\ Q e 3 R?T %Y $Q ] -O2YQ R?Q e Z0YGR?Y \?\ T'e O 3 ¦O [
^o€a$ @ r] [ edDg' t A?A q 
x?^c»L
‚'d
^c: q
8 th\< V'MW^ v p gla$WMšc_o^ v in^cbp'xo…S
xbi›cbpDaha`c4incÖ|dDglpi1Dgla}in|}^o€a$¦.ahzg
cDilz`^og v a2
x v `p [ u ƒ{1SV n [FXDz$Da`cDahz Q
p¼^
[ t A0?A :

8 t2@=< V'MW^ v pgla$['V' u dDp¼^ [^c '
S
^cD€1 XDpa v ahx … v xD| d
cDz`^ogliny v ^op2a$z`^|a v h^ ` MZc U
]qZ 3 O+O?e Y3 !Z 4
Q #O Z0Y 4 O2](O2Y 3 ODZ?Y Z \ Q O2] e ge Z?Y9R?Y#UR?Q Q O2]+YSO 3 Z#Ye Q e Z?Y !]R?YR[ #R \CR?e #Y +T T'e YZ?e # ! [
^o€a$ ] t ]o\ [ t A?A0:

8 t`]=< V'1Px#
cxDc:SDa'zhxDcDijz^W^-+
^ozhawahgla`|a`cbp`
](R?Y 6 ! Z 3 6 [: q  qq?@ q]r [ t A th\ 
6 R?Q 6 8 t < ='^c
^op ^cDiO O%Z L
O=Q ]%e 3 Z \ Q R?Q e Z?Y 4 Z?] R 3 #e YO e$e Z0Y1/Ekb…Ox v ºXDzhila`cDzha ;d
yDglilz`^opilxec¦[Ek…Ox v B[
t A?A q 
8 t`r=<  '^c
^op¼^cDi'^c @  L:ind: q n ni cpa v v ahp¼^opilxec>xo…wzhxDcDijz$»^bc x v p%Dx€xDc
^oglijp(:
]qRg\#e 3 LR0Y -R#O S(] Z 3 O $e 3Y e[ @ rT5 @r 6h; : r] qbs
t [ t A?A q 
Z \ #
Q O=]
e ge Z?Ya
8t A < ‚ ;'LBdDxecD€f ?
R Q ]+e 3 O#"VZ0Y?R -O=YQ R?T'OGO=Q Q Z 3 R?T'e 7]qR0Q e Z?Y`O2Y /
e ge Z?Yc\R?]$]*?e YR?Q O] 
xezhpx v ^op`[cDij_ba v li p a)
a ^ v i'0Q±X
dB[ E v ¼^=[DN v ^bDc zha[ n ahzha`|y
a vt ?A A?:

&a$% a^
a
8K: s=< X: > ^ /SxDcDijz$´Q±y
^a$Gp2a v ha x1[B|xp2ijxDc»a$2pin|}^opilxec:[B^cc
x?a-
ahpa v |inc
^opilxec: % YQ O2]+YR?Q e Z?YR0T'Z ]%YR?T
Z 4 Z \ #Q O=]e$e Z0Y1[ t`sT50t 6hC: @ [ t A?A q 
8K: t+< X: n U>^
['X:;MwXDiO[w^bc 
 SDa`c: ‚'d
^h v ilzz`d v _ba y
^ha$ pa v ahx1 MZc U](Z 3 O%O?e Y1 IZ 4 Q#O
%YQ O=]%YR?Q e Z0YR?T Z?Y 4 O=](O2Y 3 O0Z YUR?Q Q O2]+Y(SO 3 Z@#Ye Q e Z?Ya #O)HR$1+*O2Q#O=]%T'R?Y [
^o€a$ t \ [ t ?A A0:

Q
8K:?: < X: 1=> ^=
y
^c"f/DaU v x?B0ahzhpilxec'x~…Ÿp(.xWcDxecbQZzhx#Dgn^c
^ v hz xecDilz$`MZcXf2>d
c/^bcwP :i'a v |!^c:[oa$
ilpx v `[
O%Z -O=Q ]%e 3 %Y 2R?]+e R0Y 3 Oe Y Z \ Q O2]/e $e Z?Yf[
^o€a$ t`0s @ tt A ?>M v a$`[ t A?A?:

8K: q=< V'> #x v [oL‚'d
^c:[^cNhmahilglglxec:V ahg›^~pil_a q n v ahzhxecp v dDzhpilxecdincD€w|/dDglpi1DglaWd
cDz`^ogliny v ^op2a$}in|}^o€a$`
#O %Y Q O=]%YR?Q e Z?YR?T,'Z ]%YR?T/Z 4 SZ Z?Q e 3 -SO gO+R?] 3 D[ t A?A @ .p xº^? a`^ v 
8K: \< 1 > d
c[ n ='^?
d v [fX:#>^=
y
^c"1[  uv x?`[D^cÃL
‚'d
^c: u ahxD|ahp v ilzi›cbpa v v ahp¼^opilxec!xo…B0xincpzhxecDilz
i›cb_^ v in^cp` }MZcWf > d c ^cP":i'a v |!^c:[:a$
ilpx v `[ O%Z LO=Q ]%e 3 %Y=R?]%e R?Y 3 O&e Y Z \ #Q O=] /e $e Z?Yf[
^o€a$ r] 
> M
v a$`[ t A0A?:

:?:
8K: @=< 1>d
cÖ^bcÖP":i'a v }
| ^c:MZcbp v x1dDzhpilxec4Qpx.^ v '^ÃcDa$.R… v ^b|a$.x v "!…Ox v _ei'ilxec:MZcZ1 >d
c
^cP :i'a v |!^c:[a$
ijp2x v `[ O+Z -O2Q ]+e 3 %Y=R?]%e R?Y 3 O9e Y Z \ #Q O=] /e $e Z?Yf[/
^o€ba$ t q A
 >M v a$`[
: 
t A?A?
8K: ]=< 1  L >d
cÖ^bcÖP:i'a v |}^bc:[:a$
ijp2x v ` O+Z O2Q ]+e 3 +
Y2R0]%e R?Y 3 O&e Y Z \ Q O2] e$e Z?Y1> M S^|y v i'
€a[
> ^ ^ozgD d ahpp`[WXDP[ t A?A0:

v a$`[
8K: < L1‚'d
^c: xbg
cDxe|in^ogBSxDc
ijp2ijxDc… x v S x vv a$% xec
a`cDzhaw^c»Sglx?2a$ÃN1x v | XDxgndDpilxec … x v VahzhxDcp v dDz Q
pilxec}x~….S xecDilz$;
… v xe| ^wXDp v xecD€g'
x v @a`^0"g'ºS^~gjiny v ^~pa$YXDp2a v ahx ^oi v xo…9MZ|}^o€ba$` Bahz$
cDilz`^og9Va2 x v pV
> P u : \ LBM N;MOP[ V
xD cDa QZPWg1
a$¦[ t A?A \ 
tt2@ M5Ö
8K: r=< LB‚'d
^c:WMšc_o^ v in^cbp'xo…Filk^
xincbp b^ cN v x?B0ahzhpil_a v ahzhxDcp v dDzhpilxecY… v xe|
](R?Y $R 3 Q e Z?Y Z?Y ¼[ t 50t 6h[e^cDd
^ v t A?A @ 
p+ v aha/d
cDz`^ogliny v ^op2a$in|}^o€a$`
8K:?A < L‚'d
^bc:[  uv x?`[^cV'U> x# v MZcb_^ v in^cbpÃxo…w^c
^oi v xo…wzhxDcDijz$ v ah_ei'ilpa$B
Z \ Q e Y3e[ t`s&5 @ 6h q t A q : q [Dd
cDa t A?A0:

-RO
R0Y e$e Z0Y
8 qs=< LF‚'d
^bcÖ^bcÖV'> x# v incD€Ã€ahxe|ahp v ilz/|x
ahgB€edDi'
a$^ozhp2ij_ba'zhxecp2xed v Ù
| ahp%Dx# … x v p v ^=*½zil€ec!
a Q
pahzhpilxec:;MšcS](Z 3 O%O?e Y1 Z 4 %YQ O2]+YR?Q e Z?YR?T!Z?] #Z+\ Z0Y R 3 #e YO e $e Z?Y ?
\ \T'e 3 R?Q e Z?Yf[#.x#"?bx1[
e^?
^c:[ t A?A s 
8 q
t+< 
L 9VxDy
a v p^c EBN:^dD€a v ^h`}Vahgn^opil_a q n x?2ijp2ijxDc
cDi›cD€^c q n zhxecb_ahk D
dDglg;zhxe|
dDp¼^opilxec4… v xe|^
. a`^0"g' z`^ogliny v ^opa$G2pa v ahxI
^oi v }Mšc U]qZ 3 O+O?e Y3 Z 4 Q#O Q +YQ O2]+YR0Q e Z?YR?T ?Z Y 4 O2](O=Y 3 OLZ0Y Z \ #Q O=]
/e ge Z?Y O=]%T'e Ya O2]
-R?Y o[
^o€ba$ @o\es @o\\ [0> ^= t A?A q 
8 q : < V'X
^… ^oaha Q±VU^B[M22z$Dxed"`^bcDx_:[W9;a`c
^byDi›y:[^bc S'hX
|ilp%: q n x0a;a$p2i›|!^opilxecU… v ex |^Ud
d
^ v ^~pilz
z`d v _a$4
… a`^~p¼d v a'inc4pq.x&
a v %
ahzhpil_a_Dila$.`MZc U]qZ 3 O+O?e Y3 Z 4 Q#O Q %YQ O2]+YR?Q e Z?YR?T Z?Y 4 O2](O=Y 3 OZ?Y
SR?Q Q O=]%Y UO 3 ZYe Q e Z0Ya O )R3+*HO=Q#O2]+T'R?Y[
^o€ba$ qo\1t qo\\ [ t A?A?:

8 qq=< 1 u  XDa`|&Dgla»^c u ;''cDaha`y xecDa T #O 7 ](R?e 3 S](Z.$O 3 Q e2O O+Z O2Q ]!Ekb… x v XDzhila`cDzha ²d
yDgjilz`^op2ijxDc:[
t A @ :

8 qo\< 1  PBxB S](Z.$O 3 Q e=OR?Y
8 q?@=< M@ahi'`
#Zg\ R
YR?T Q e 3 R?T O%Z L
O=Q ] o
;XDi v M ¼^b^oz ilp¼|}^bc
xec¦[1L:pBn[ t A \ 
v x?B0ahzhpil_ainc_o^ v in^cbpxo…%
^? a$`;MšcS](Z 3 O%O?e Y1 Z 4 % 7]%eO R $R 3 $O2Q Q! ! [
^o€a$ tbt : @ tbt`qo\ [ t A r r 
-RO
Y?O=]$Q R?Y0e Y3!Z?] = [
8 q]=< P/ :i'a v |}^bc:[ n  P/oNfx v Dp%:[1 LÀ?>d
c[
^cYS  P/V x p%0.ahglgO;Vahzhxb€ecDi'rhi›cD€!€a`cDa v o^ gfz`d v _a$}xeyCB±ahzhp
a+º
* zhila`cpg':ºMšc1 >d
c^cP":i'a v |}^c:[Ba$
ilpx v `[ O+Z -O2Q ]+e 3 %Y 2R?]+e R?Y 3 O&e Y Z \ #Q O=] /e $e Z?Yf[
^o€a$:?: r C: ]?@ #Da)> M v a$¦[ t A?A?: 
8 q < P/ :i'a v |}^bc:[¹S  > ^ v incDx?`[ n  P/.N1x v ep%:[ f L>d
c[;^bcS' PBVxp(.ahglg ÃVahgn^op2ij_ba»|xpilxec^bc
x?aU… v xe| incb_^ v i›^bcp¦¹Mšc U](Z 3 O%O?e Y1 Z 4 Q#O]+e Q e R 3 #e YO /e $e Z?Y Z?Y 4 O=](O2Y 3 O+) 4 Z?]* SY3#T'R?Y [
^o€a$ t :
[
XDa2Dpa`|y
a vt A?A s 
: q