HAL Id: inria-00072724
https://hal.inria.fr/inria-00072724
Submitted on 24 May 2006
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub-
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non,
Characterizations of Preferential Entailments
Yves Moinard, Raymond Rolland
To cite this version:
Yves Moinard, Raymond Rolland. Characterizations of Preferential Entailments. [Research Report]
RR-3928, INRIA. 2000. �inria-00072724�
ISRN INRIA/RR--3928--FR+ENG
a p p o r t
d e r e c h e r c h e
INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE
Characterizations of Preferential Entailments
Yves Moinard , Raymond Rolland
N˚3928
Avril 2000
THÈME 3
' (*),+.-0/*1325476980:<;5=>4@?BAC/*280=D/*E3E34F28$G
HIKJ LNM OQPSRUTWVXMZY\[,]^V\_a`,T>IK`,LbLNM c3Ld[e]fIg_aTKM,h
_iLd[kj,MZlZh<mK`eTKTKnZMZlZhK]`,TKTg[k_ol\lX[eTg]M9l
pqY\`krsMVutwvsxut
yu[kzKzF`eYXVwm@M{Y\MZ]fIKMZY\]fIKMTQ|eO,},~kPSt<YX_iB~k,e P~k zg[ejeMZl
>Z Kee t#zKY\MMZYXMZTWVX_o[kkMZT,Vf[k_iaLNMZT,V_ilm@M7TKMZm<{[K_iTg[kY\wY\M o[V\_a`,Th9`eYFzKY\MMZYXMZTg]M5Y\M o[V\_a`,T<f
HIg_ilQYXMZi[kVX_i`eTLd[FM[eLb`,TKj_iT,V\M Y\zKY\MV\[kVX_i`eTglZh`eYlXMVfl `e_iTWVXMZYXzKY\MVf[V\_a`,Tgl h`eYb[kLN`eTgj>lV\[kVXMZls
Ig_i]fI[eYXM] `ezK_iMZls `kq_iT,V\M Y\zKY\MV\[kVX_i`eTglw`eY`klXMV\l`kq_iTWVXMZYXzKY\MVf[V\_a`,Tgl HIK_ilzKY\`<_imKMZl`,KY <_iTgmKl
`ezKY\MMZYXMZTWVX_o[kM TWVf[k_iaLNM TWVfl ¡HIKMzg[ez7MZYDm@MZ[eilNLd[e_aTKi
_aVXIzKY\`ezF`,lX_¢V\_a`,Tg[ki`ej,_i]ehIK`
M ,M YN_¢V
mKMZl\]Y\_aFMZlN[kolX`£VXIgM.lX_aVXg[kVX_i`eT¤_aTCgY\lVd`eYfm@M Ybi`eje_o]k¦¥K`eYN_iTglV\[kT7]MehVXIKMV\IK_aYfm#Tg`kVX_i`eT¤zKY\MZlXM TWVXM9m
[e7`,Mu] [eTD7MlMZM T>[,l[
[VX`QlX_iLQKo[V\MuVXIgMwLd[k_iT>[elXzFMZ]^Vfl`e§VXIKMl_iLNzKiMZlVgYflsV¨TK`kV\_a`,T
IKM T_¢V
_olm@M gTKMZm_iTVXIKM zgYXM9m@_i]Z[V\M{]Z[ko]KiglZh
IK_iaM lV\[<_iTKj_iTVXIKMQzKYX`,z7`Wl_aVX_i`eT7[k§] [ei] Ka7l 5RUTgmKM MZmh@VXIKM
V\IK_iY\mNTK`eVX_i`eTD[eai`
lq[elLd[kT<b] `ezK_iMZl`k§_iT,V\M Y\zKY\MV\[kVX_i`eTgl[el
M
[kTWVq`,Y[ ] `eLNzKiMVXMuVXIKMZ`eY\eheMZeMZT
_iT£V\IKMbzKYX`,z7`Wl_aVX_i`eT7[k]Z[ko]KiglZh§[kTgm.V\IK_ol_olzKY\MZ]_olXM i
Ig[kVI7[kzKzFM Tgl_iTVXIgMzKY\MZmK_i]Z[VXMb] [ei] Ka7l
©¡I7[V
MQm@`>IKM Y\MQ_olV\`>zKY\`<_im@M [>]fIg[kYf[e]VXM Y\_iªZ[V\_a`,TY\MZlXKaVw`,YuVXIgMZlXM `egYw <_aT7mKlu`eqzKYXM M Y\M TWVX_o[k
MZTWV\[k_iiLbMZTWV\lZ#©M]fIK`<`WlMzKYX`,z7MZYV\_aM9l[,lNl_iLNzKaM[eTgm#Tg[kVXKYf[k[,lzF`,l\lX_aKiMeh[kTgm¦l`,LbM VX_iLNMZl
M
zgYX`<_om@M{[eYX_i`e7l]fIg[kYf[e]VXM Y\_iªZ[V\_a`,Tgl`eYVXIgMQlX[eLNMTK`kV\_a`,TqR«Vw[kzgz7M9[kYfl¨VXIg[kVuVXIKM [ezKzg[eYXMZT,V\a>Lb`WlsV
] `eLNzKi_i]Z[V\MZmTK`eVX_i`eT zF`,l\lXMZl\lM9lB<¬[kYVXIKMlX_aLNzKiMZlV]fI7[kYf[e]^V\M Y\_aª9[V\_a`,TY\MZlXKaVZtC<Wc3zgYX`@m@g]V`eg`eKY
Y\MZlXKaV\lw_iluVXIg[kVwVXIgM `egYV\ITK`kV\_a`,T_ilwMZWK_i[eaMZTWVwVX`DVXIKMblM9]`eT7m.TK`kV\_a`,T®
M Ld[.m@MgTgMQm@_iYXM9]^VXi
V\IKMY\M o[VX_i`eT[kLN`eTgjNlXMVfl`k_aTWV\M Y\zKYXM V\[kVX_i`eTglZh<M i_aLN_iTg[V\_aTKjbV\IKMTKM M9m`eYXlsVf[VXM9lU_aTVXIg_ilu]Z[elXMe
¯°W±*²\³Q´ µe pqYXM M Y\M TWVX_o[kgM TWV\[e_aiLNM TWVZh,TK`eTdLN`eTg`kVX`,TK_o]Y\MZ[,l`,TK_iTKjghe] `eLNLN`eTdlXM TglXMYXM9[elX`eTK_iTKj7h
<TK`
iMZmKjeMYXMZzKYXM9lMZTWV\[V\_a`,Th<zKY\`ezF`,lX_¢V\_a`,Tg[k*i`eje_o]k
¶o·§¸X¹«ºZ»¸¼½i¹«¾3¿À
ÁBÂ9ÃÅÄBÃÅħÆÇÂÈqÉÇÈsÄÇÈXÊfɬ˫ÂɬÈsÌeÍ^ÉÆBÎÈɬÄ3ÃÅÍ^ÏÍfÐgʨÌÊfÌkÈsÉÄÇÑÒÓÃƬÆ3ÈsÔÃÅÏÕÊfÏZÑÊfɬÖ×eØ^Ù^Ù^Ù
ÚNÛÜÛ¬ÝZÞ ×ߧÊfÓÌÑÄÔÈNà*ÈÊfÑáÅÃÅÈsÑW×qâ^ã^ÙfäØ ÜBåFææå*Ý çߧÈsÔÈUèé ÜÞæ ß å קÆ3ÈsáoêÅë£ìiâ^âíØDî^îïfäðfâñâ9×5ÈçÓuÊfÃÅáoë
ÓÍ^ÃÅÏÊfÉÇÔòÃÅÉÇÃÅÄ3Ê9êÐiÉ
ó
ÛÜô{ÞÜ ×*ߧÊfÓÌÑÄÔÈà*ÈÊfÑáÅÃÅÈsÑW×Bâ^ã^ÙfäØ ÜBåFææåFÝ çß*ÈsÔÈUèDé ÜÞæ ß å ×gÆ3ÈsáoêÅëNìiâ^âíwØî^îbØ^ïõ^Ùñî9×ÈçÓuÊfÃÅáoë
Ü ÊsÖ9ÓÍ^ÏÔ,êÜ Í^áÅáöÊfÏÔòÑÏÃÎ çÉÇÈsÏÏ9ÈÄñ^êÐiÉ
Unité de recherche INRIA Rennes
TKM_iT@n Y\M T7]MzgYXn n Y\M TWVX_iM iaM¨MZlV5m@ngTg_aM¨zg[kYKTKMY\M o[V\_a`,T K_iTg[k_iYXM,h[kzKzFM in M5sY\M o[V\_a`,T
mKMwzKY\nnZYXMZTg]MfMVXVXMwY\M o[V\_a`,Tdz7MZ@VVXY\Mwm@n gTK_iMlXKYm@MZl_aTWV\M Y\zKYXn V\[kVX_i`eTglZhe`,DlKYm@M9lMZTglMZLQKiMZl
m_iTWVXM Y\zKY\nVf[VX_i`eT7l h§`,lXKYm@MZlunVf[V\lsbWK_qlX`eTWVm@MZluX]`,zK_aM9lUm_iTWVXM Y\zKY\nVf[VX_i`eT7l`,mM T7lMZLQKiMZl
m_iTWVXM Y\zKY\nVf[VX_i`eT7l MZi[mK`eTKTKMm@`eTg]dWg[kVXY\MdeMZY\lX_a`,Tgl{m_aT@nZYXMZTg]M9lzKY\nnZYXMZT,V\_aMZaiMZlZM>zg[kzK_iM Y
lXMN]`eT7]M TWV\YXMNlgYiMN] [el{m@MNo[>i`ej,_iWKMzKY\`ezF`,lX_¢V\_a`,TKTKM iiMeh§Ld[k_ol_aqm@n9]Y\_¢V{n jW[kiM LNM TWV{i[lX_¢V\g[V\_a`,T
mg[kTglaMN] [,l{m@Mo[Di`ej,_iWKMbm@ zKYXMZLN_aMZY`,Y\m@Y\Metw_aTglX_3h§i[DVXY\`e_ol_iJ LNMbeM YflX_a`,T_aTWVXY\`@m@K_aVXMN]_ac«mKMZl\lgl
zFM KV VXY\M]`eT7l_om@n Y\n M.]`,LNLbMKTKM.Ld[kTg_aJZYXM.m@Ml_iLQgaMZYdaM9lzgYX_iTg]_izg[e¦[elXzFMZ]^VflNm@M.i[ eMZY\lX_i`eT
o[zKa7ldl_iLNzKaM¬i[ zKY\M LN_iJ Y\M,7[kTgmCM iaM.MZlVDm@n7TK_aMmK[eTglbaM]Z[em@Y\MmK¤]Z[ko]Km@M9lNzKYXn9m@_o] [Vfl h
V\`e@VDMZT$m@M LNMZKY\[eTWVNMZT¡a`,je_oWKM.zKYX`,z7`Wl_aVX_i`eTgTKM iaM,®M T¡M! FM VZh]M VVXM£VXY\`e_ol_iJ LNMeMZY\lX_i`eT¦[e@VX`,YX_olXM
mg[kTgl¨iM{]Z[el¨zKY\`ezF`,lX_¢V\_a`,TKTKMZ*[e@V\[eTWVm@M] `ezK_iMZlm_aTWV\M Y\zKYXn V\[kVX_i`eTglWKM{"`eTeMZ@Vz7`,KYKTKMVXIgn `eY\_iM
] `eLNzKiJV\Mehq]M.WK_¨MZlVbo[lX_¢V\g[V\_a`,T¦m@¤] [ei] K¨mKMZlzKYXn9m@_o] [Vfl #Mzg[kzK_iM Y`egYXTK_aVbmKMZlbYXn9lg¢Vf[V\l
mKM] [eY\[,]^V\n Y\_il\[V\_a`,ThKM T£VXM Y\LNMZlm@MQzgYX`,zKYX_inV\nZli`ej,_iWKM9luzKgYXMZLbMZTWVlXWTWVf[@_iWKM9l h7z7`,KYaM9lWg[kVXY\M
,M Yfl_i`eT7l5m_iT@nZYXMZTg]MzKYXn n Y\M TWVX_iM iiMe$0]fIg[,,gM`e_ol hWaM9lqzKY\`ezgYX_inV\nZl5iMZlzKa7llX_aLNzKiMZlMV¨Tg[V\KYXMZaiMZl
zF`,l\lX_aKiMZll`,TWV]fIK`e_olX_aM9l h7MVz7[kYX`e_oluzKiglX_aMZKY\lwYXn9lg¢Vf[V\lm@M]Z[kYf[e]VXn Y\_olX[kVX_i`eT.l`,T,V`eKY\TK_oluzF`eKYi[
LZLbMTK`kV\_a`,T
TKM{]`,TglXnZWKM T7]Mwm@M]M9lY\nZlXKaV\[VflqM9lsVWKMwo[QWg[kVXY\_aJZLbMweM YflX_a`,TdTM9lsV¨M TYXn9[ki_¢V\n
z7[elzKa7ljen Tgn Yf[kiMwWKMo[bm@M @_iJ LNMe®`,T>zFM @Vum@n gTK_iYmK_aY\MZ]VXM LNMZT,Vo[QY\M o[V\_a`,T>lgY¨iMZl¨MZTglMZLQKiMZl
m_iTWVXM Y\zKY\nVf[VX_i`eT7l h@l\[kTgl[,`e_iYY\MZ] `eKYfl[kbnVf[VflUmK[kTgl] M] [elZ
%´ 9 ² '& RUT@nZYXMZTg]MzKY\nn Y\M TWV\_aMZaiMehY\[e_ilX`eTgTKM LNM TWVQTg`eTLN`eTK`eVX`,TKMehYf[k_ol`,TKTKM LNMZT,Vbm@M>lXM Tgl
] `eLNLQgTh@YXMZzKY\nZlXM TWV\[kVX_i`eTmKMZl]`,TKTg[e_il\lX[eTg]M9l h<i`ej,_iWKMzKY\`ezF`,lX_¢V\_a`,TKTKM iiMe
Z ´ µk´
´ Z@´
N
µ3 °W³Q´
° ³Q´ &° Z ° ° °
¬ & °
Z& °
9
# && °
° °´ ´ ° 9°
° ° & ° ° ° ¬ & ° 9 &" ° Z !
" $# xM7TK_¢V\_a`,T[kTgmgYflsVzKY\`ezFM YXVX_iMZl#{{{{{{{{ %
" ~ t ]fI7[kYf[e]^V\M Y\_aª9[V\_a`,TD`kjeM TgM Yf[k§zKY\MMZYXMZT,V\_i[e*M TWV\[e_aiLNM TWV\ld{{{{ }
'& @Kk ° )(* # &¬² ° ° ° ¬ & ° Z "& ° Z +
g$# twTK`kV\IKM YwzKYX`,z7MZYVsd`ezKY\McU]_iYf]KLdl\]Y\_az@V\_a`,Tgl {{{{{{,#-#
g~ p5[eY\[kc«] _aYf]KLdl\]Y\_azKVX_i`eTgl {{{{{{{{{{,#~
gO HIgM ]fIg[kYf[e]VXM Y\_iªZ[V\_a`,TDY\MZlXK¢V9h@_aTV\M Y\LNl`ezgYXM c«] _aYf]KLdl\]Y\_azKVX_i`eT {{{,#.
!&
@Kk ° )(*
/ ° ° °
¬ & °
9 &" °
Z
%@$# tzgYX`,z7MZYVsd`ezKY\MMZYXMZTWVX_o[k§M TWVf[k_iaLNM TWVfl {{{{{{{,#9
%@~ I7[kYf[e]^V\M Y\_aªZ_aTgjzKY\MMZYXMZTWVX_o[k*M TWV\[e_aiLNM TWV\l{{{{{{{,#%
0
°21 ´ µ ° >eg °
3
4 & ´ &´
B
HIgMTK`kV\_a`,T`ezKY\MMZYXMZTWVX_o[k*M TWV\[e_aiLNM TWVuIg[,llIK`
TVX`dFMeMZYX>glM K_iT. WTg`
aM9m@jeMYXMZzKY\MZlXM TWV\[kc
V\_a`,Th
IgM TDm@M9[ki_aTKj
_aVXIDlX`eLNMu[,lzFMZ]V\l5`e*] `eLNLN`eTdlMZTglXMYXM9[elX`eTK_iTKjl7]fIN[,l5_iLbzga_o]_aV <TK`
iMZm@j,M
`,Y{YXKiMZl
_aVXI M!@] M z@V\_a`,TglZpqY\MMZYXMZTWVX_o[k5M TWVf[k_iaLNM TWVfl[kY\Mzg[eYV\_i] Ko[kY{_aTKM Y\M Tg] Mb`,z7MZY\[kVX_i`eTglZh[kT7m
[eYX_i`eglw <_aTgmglM!@_ilVZHIKMbjeMZTKM Yf[k_im@M9[D_ol{[elw`eia`
lZ®
MN[kY\M j,_a,M TlX`eLNM[eLN`eKTWV`e ¬] M YXV\[e_aT
<TK`
iMZmKjeMehgYXMZzKYXM9lMZTWVXMZm[,lw[DlXMV`k5`eY\LQgi[,l HIK_ollXMV] [kT7Mb[el\l`@]_o[V\MZm
_aVXI£[kY\_i`egl <_iTgmKl
`eq`e@rsM9]^Vfl {¥K`,Yw_iTglsVf[kTg] Meh*_aV{]Z[kT£FMb[,lXlX`@]_o[V\MZm
_aVXIV\IKMblXMV{`kq_aV\lLN`@m@M ol h*`,YM9,g_a[kiM TWV\a._iT
V\IKMuzKY\`ezF`,lX_aVX_i`eTg[eK] [elXMeh
_¢V\INVXIKMlM V`k*VXIgMw]`,LbzgaM VXMVXIgM `eY\_iMZl
IK_o]fIdM TWVf[k_i@VXIKMwje_ieM Tb`,YXLKi[,l
£`eY\MdjeM TgM Yf[kia,h_aV] [eT#[kol`FM[,lXlX`@]_o[V\MZm
_¢V\I VXIKMlM VQ`kw[eaVXIKMDVXIKMZ`eY\_aM9l
IK_o]fI#M TWV\[e_aVXIKM
j,_a,M T>`eY\LQKo[elZHIgM T
M{[kY\Mje_ieM T.[K_aT7[kY\DYXMZi[kVX_i`eT[kLN`eTKjVXIgM`,@rsMZ]V\l[,lXlX`@]_o[VXM9m
_aVXI.`eKY
<TK`
iMZmKjeMeh[kTgm
MD ,M M z`,TKi£VXIgM>`eKrsMZ]^Vfl
IK_o]fI#[kY\MQszgYXM M Y\YXM9mWb`,YVXIg_ilYXMZi[kVX_i`eThLNMZ[eTK_aTgj
V\IKMbLb_iTK_iLd[k`eTKM9l HIKMZTh
MbjeM V[,mKm@_aVX_i`eTg[eB`,YXLKi[,l h
IK_o]fI[eYXMb]`eT7l_om@M Y\MZm[elm@MZm@7]MZms<
mKM¬[kg¢Vf®5_iTVXIKM [eglMZTg]M{`e`kV\IKM Y_iT@`,YXLd[V\_a`,Th
M{] `eTg] a7m@M{VXIg[kV
M{j,MVu[kol`d[ea*V\IKM{`eY\LQKo[el
[,lXlX`@]_o[V\MZmVX`V\IK_ol Y\MZm@g] MZmlXMVQ`e`e@rsM9]^V\lZHIK_olQ[kii`
l{VX`£Y\MZ[,l`,T _aT#[Tg`eTLN`eTK`eVX`,TK_i]
[eh
[,lw[eKjeLNM TWV\_aTKjDVXIKMN]MZYVf[k_iT WTg`
aM9m@jeM Ld[_aT<[ki_omK[V\MlX`eLNM] `eTg] aglX_i`eTglwzKYXMZ<_a`,gli>Ld[,m@MQ<
mKM¬[kg¢Vfl h@FMZ]Z[kglXMlX`eLNMTKM
`e@rsM9]^Vfl
Ig_i]fI
MZYXMTK`eVLN_iTK_iLN[e§Ld[d7M{LN_aTg_aLd[k§_iTVXIKMlXLN[eaiM Y
lXMV[,lXlX`@]_o[V\MZm
_aVXIbV\IKMTKM
]MZYVf[k_iT <TK`
iMZmKjeMe©Mu]Z[kTd[kii`
LN`eY\M7M @_ag_ai_¢Vs< glX_aTKj ] `ezK_iMZl
`eqLN`<mKM ol h§`,Y]`,zK_iMZl`kqV\IKM `,YX_iMZlZhFmKMgTK_iTKjVXIKMYXMZi[kVX_i`eT[eLN`eTKjdV\IKMZlXMNlM V\l`kX]`,zK_aM9lU^w© MbjeMV
V\IKM Tb`,KYq <_aT7mKl5`k*zKY\MMZYXMZT,V\_i[e@M TWV\[e_aiLNM TWV\lZ©MwlXIK`
7MZa`
VXIg[kVqTK`Y\MZ[kK[,mKm@_aVX_i`eTg[egM!<_iK_ia_aVs
_ol `,@V\[e_aTgMZm< YXMZzKi[,]_iTKjV\IKMDV\IKM `,YX_iMZlQW ]`,zK_iMZl `eVXIKMZ`eY\_aM9l h
IK_o]fI#iMZ[,MZl{V\IKYXMZMD <_aT7mKl ©M
zgYX`<_om@M]fIg[eY\[,]^V\M Y\_aª9[VX_i`eT Y\MZlXKaV\lZhq_aT¦VXMZYXLdl`k{l<TWV\[,]^VX_o] [ezgYX`,z7MZYV\_aM9l h`,YV\IKMZlXMVXIKY\M M <_aTgmgl
HIgMbLN`WlsV{jeMZTKM Yf[keMZY\lX_i`eT£Ig[,lVXIKMdlX_aLNzKiMZlV ]fIg[kYf[e]VXM Y\_iªZ[V\_a`,TYXM9lg¢V9 Ig[eY\[,]^V\M Y\_aª9[VX_i`eT7l
M Y\M
<TK`
T`eYz7[kYXVX_o]Ko[kY] [,lM9l¨`kVXIKM9lMVXIgYXMZM `eY`,KY ,M Yfl_i`eT7l h<K@VuTg`kV`eYV\IKMjeMZTKM Yf[k§]Z[elXMe
RUTlM9]^V\_a`,T¦~
M_aTWVXY\`@m@g] MDVXIgMTg`kV\[kVX_i`eTglZ© M
`eY\ _aT¦zKYX`,z7`Wl_aVX_i`eT7[k¨a`,je_o]k RUT¤lXMZ]VX_i`eTgl
O.[eTgm .7h
Mbj,_a,Mb[M
Y\M LN_aT7m@M Yfl[kF`e@V{V\IKMdl_iLNzKaM9lsV <_iTgmKl{`ezKY\MMZYXMZT,V\_i[eM TWV\[e_aiLNM TWV\lZNRUT
lXMZ]VX_i`eT "
M_iTWVXY\`@m@g]M¨V\IKMw]fIg[eY\[,]^VXMZYX_iªZ[kVX_i`eT Y\MZlXKaV5`eY5V\IKMLN`,lVqjeMZTKM Yf[k<eMZY\lX_i`eTb`k*zKYXM M Y\M TWVX_o[k
MZTWV\[k_iiLbMZTWVZQHIKMZTh
Mj,_a,MQ_iT lXMZ]VX_i`eTgl{ [kTgm %dY\MZlXzFMZ]^V\_a,M i.VXIKMd]fIg[eY\[,]^V\M Y\_aª9[VX_i`eTY\MZlXKaV\lw`eY
V\IKM{V
`XlX_aLNzKiMZlV W_iTgmKls^RUTlXMZ]VX_i`eT.Kh
M{VXYf[kTglXi[kVXM`eKYY\MZlXKaV\l¨V\`V\IKM{gYflsVu`,Y\mKM Y] [,lM,
{Q Q%& !
"$#&%(')%+*,%(-
®© M
`,YX ._iT [zKY\`ezF`,lX_aVX_i`eTg[eo[kTgjeg[ejeM
#
hB[,lXlX_aLN_ii[kVXM9m£V\`_aV\lQlM V{`e`,YXLKi[,l
'/.0#,1
h7VXIKMe`@] [eKKo[kY\D`k
#
h*m@MZTK`kV\MZlw[>lM Vw`k32 44257689:0!68;<>=?@6^&ABMVV\M Yfl
*,%CB
m@M TK`eVXM`,Yc
LKo[el_aT
#
{tEDF 8<HG
_iaFMb[,lXlX_aLN_ii[kVXM9m.VX`_¢VflM9WK_a[eaMZTg]Mb]o[el\l +AMVXVXMZY\ll7]fI[el
-
`,YJI
mKM TK`eVXMlM V\l`eB`,YXLKi[,l
" %
%KL%M/.0N1F%KPOQSRTRUR
®VABMVV\M Yfl
KL%?W
m@M Tg`kVXMX59ZYF [2 YT9\9:0]6DF
# tuT#_iTWVXMZYXzKY\MVf[V\_a`,T_il
[,lXlX_iLb_io[VXM9m VX`VXIgMlXKglXMVN`k
'/.0#,1
V\Ig[VN_aVNl\[V\_ilgMZlZHIKM
YX_aVX_iTKj,l
K^OQ_*
[kTgm
K^OQ`- [kY\M
mKMgTKM9m ]o[el\l_o] [eaieNtwl7lg[eÇh`eY [kT<lXMV
N h MV.0N1
mKM TK`eVXMZlVXIKMDlXMV`k[kiVXIgMDlK7lM V\l{`k
N
HIgM.lXMV
MV.:'/.0#1C1
`e[ki¨VXIKM_iTWVXMZYXzKY\MVf[V\_a`,Tgl `,Y
#
_ildm@MZTK`kV\MZm¦<#% ¤ta<>UbYF`e
-
_ild[eT
_iTWVXMZYXzKY\MVf[V\_a`,T
K
lXg]fI.VXIg[kV
KcOQd-
%
.0-1 [kTgm %
.:*e1
m@M Tg`kVXM VXIKMQlXMVfl`kq[ea§V\IKM LN`@m@M olu`e
-
[eTgm
*
Y\MZlXz7M9]^VX_ieMZa,
"
" - OQ RURTRF% .:-18%
® - OQ *
[eTgm
- OQ -
[eYXMmKMgTKM9m$]o[el\lX_i]Z[kia¦W %
.:-1
%
.0*L1
[eTgm %
.0- 1
%
.0-F1
YXM9lzFMZ]VX_ieM iet 9
Y? 8;_ol>[lXKglXMV`k
#
]i`,lXMZm¤`,Y>m@M9m@g]^V\_a`,Thu[kT7m
`,Yb[eT<
- #
Mm@M Tg`kVXM<
.:-1
VXIKM.lM V
*E#&%- OQ_*
©M.m@MZTK`kV\M>< V\IKMlXMV
- #J%!.0-1+Q^-
`kV\IKMbVXIKMZ`eY\_aM9l`k
#
©¡IgM T
- _il{_iT
h§`eY
* #
[eTgm
- # h M
I7[eM
- OQ * _
*! -
[kT7m
- OQ -"
_
-"# -
"$H%&%H%('
®BH
`ui`ej,_i]Z[ke] `eTglV\[eTWV\l
$
[kT7m
%
m@M TK`eVXMqY\MZlXzFMZ]^V\_a,M iwV\IKMqV\YXgM[kTgmV\IKMq¬[eilXM5`,YXLKi[,l
R«
'V.:#,1 Q*) hV\IKM T
# Q
$H%&%
B¥K`,Y5[kT<
# h
.+) 1LQ, .-$(1LQ
$ [kT7m
!.+%(1LQ #/.
$H%&%
R«
- %4-"
[eYXMlK7lM V\l`k
#
h[kT7m
*
_il[`,YXLKo[_aT
# h M YX_aVXM
- ' -"
`eYVXIgMV\IKM `,YX
0 .:- #1 -U1
[kT7m
-2' *
`eY.V\IKM VXIKMZ`eY\
.:- 1
*(1
©Mm@M gTKMlX_aLN_ii[eYXi*346587
- 4 Q
0 .-9 4:587
- 41
¥K`,Y[eTW
h
MqIg[,M5VXIKMZT % . 3; 58<=
- 1 Q % .-9
; 58<>=
-H1 Q*?
; 58<= %
.0- 1
yuM LNM L7MZYVXIg[kV
M{Ig[,M{[eilX`
9 ; 58<= % .:-H1@
% . ? ; 58<=
-1 h
_¢V\I.MZWg[ki_aVsD_¢
_olgTK_aVXM,
" &
%A!.K 1F%A!.
% 1
®Dt V\IKM `,YXXI
_ilB?<&2YT9\Y_ash5`eYN[kT<
* # h
*
I¡_ DC
*FE
&
© MmKM TK`eVXMW
&
VXIgMlXMVb`kw[kiVXIKM.]`,LbzgaM VXMDV\IKM `,YX_iMZl`k
# 0 .0K 1
m@MZTK`kV\MZlQVXIKM.lM V`euVXIKM
`,YXLKo[el{lX[kVX_ols7MZm£<
K
N¥K`,Y [kT<£lXKglXMV %
`k% h
!.
%
T1+Q
** #J%CKdOQ^*
`eYu[eTW
K,
%
G+Q ?IH
58J K
!.K 1
¨HIK_ilw[kLQg_aj,K`egl7lM`e
0 [kTgm`k
OQ
¬[kzgzKa_iMZmV\`DlM V\l`e`,YXLKo[el`eY
_iTWVXMZYXzKY\MVf[V\_a`,Tgl _oluglXg[e_aTi`ej,_i][eTgm.lIg`eKomTK`kVwzgYX`,`e eM{]`,T@glX_a`,T¥g`eYw[eT<
-L h
MjeMV
- Q?M
5N(O
MQPR
; I5 & Ld[.7Md[el\lX_aLN_ii[kVXMZmVX`% ®¥g`eY{[kT<
KS
%
MIg[eM
!.K 1T
& [kT7m
`,Yu[kT<>I
& h % .I 1
_ol[Nl_iTKj,aM VX`eT
KU#
%
"#V
®
V
m@M Tg`kVXM9lqV\IKMVX`ezF`ei`ej,_i]Z[kF]i`,lXKYXM,®
V .% F1 Q %
.60 .% T11
`,Y %
0
% 5t lXKglXMV
%
`k % _ilMZWg[eKVX` %
.0-H1
`,YlX`eLNM
- _ _¢V¨_il¨]i`,lXMZm ¬_ÇMe
0V .% F1Q
%
^qt0lXKglXMV%
`e
% _olVXIKM lXMVu`eBV\IKMLN`<mKM ol`k[b`eY\LQKo[
*
_iT
#
¬_ÇMeihK`e[gTK_aVXMZa[@_i`eLd[V\_aª9[kKiMwV\IKM `,YX
-
`e
#
¨_ _¢V_ol`ezFM T[kTgm]i`,lXMZmhW_3Me
V .% F1)Q
%
[kTgm
V .
%XW %
F1 Q
%XW %
5R« %
0
%
[eTgm
*Y#
h<V\IKM T
V .% [Z
%
.0*L1C1Q\V .% F1Z
%
.0*L1
qR«
'V.:#,1
_ol¨gTK_aVXMehK[eT<DlK7lM V`e% _il
V\YX_i<_i[eai>] a`WlM9m>[kT7m`,z7MZT
"]
M _ijeI<7`,YXIg`W`@mKlZ®5¥K`,Yw[kT<
K#
% h %
.0*L1^E3KcOQ *(
_olu[bg[,lM{`k `,z7MZT[kTgm.]i`,lXMZm TgM _ijeI<7`,Yc
Ig`W`@mKl`e
K
RUTgmKM MZmheiMV %`_¨FMw[kTb`ezFM TdlXKglXMV`e % heVXIKMZT %`_
Q
%aW %
.:-1
`,Yql`,LbM
-b
© MNjeM V
K\
%c_Q_
Ked
%
.0- 1 _ VXIgM Y\MbM!@_ilV\l
*c-
lXg]fIVXIg[kV
KedOQ^*
¬_ÇMeih
K OQ C *
^b©M
I7[eM
*! - _ %
.0*L1f.
%
.0-H1
h,_ % .C
*L1f
%`_5HIK_olqzKY\`eM9lVXI7[Vq`,Y[kT<b`ezFM TDlXMV %g_l7]fI
V\Ig[V
Kh
%c_hFV\IKM Y\M M @_olsVfllX`eLNMQ`eY\LQKo[
*Ui .[Q
C
*L1
l\[V\_ilgMZm£W
K
h§l7]fIVXIg[kV %
.:*Ui1
%c_
HIg_ilLNMZ[eTgl¨VXI7[VVXIgM lM V#%
.0*Ui1jEK OQ *Ui6
_olu[bg[elXM{`kTKM _ijeI<F`eY\IK`<`<mgl`e
K
lk
m n
BZ% !Q !CQ! %&
twT<szgYXM M Y\M TWVX_o[k*M TWVf[k_iaLNM TWV_il[eT_iT@MZYXMZTg]M{`ezFM Yf[V\_a`,TDV\Ig[V
M] [ki[{szKY\McU]_iYf]KLdl\]Y\_az@V\_a`,T<^®
o° 1
´
qp)
t 2 YsrAF tFG<H6sF 829:0vu ¬_aT
#
u_il[kT£M!<VXM T7l_ieM_3M,ahqu
.0-H10.E-
`,Y[eTW
-
Ld[ezKzK_iTKjdY\`eL
VX`
¥g`eY[kT<lXKglXMV
-
`k
# h
MQglM VXIKMb[kKKY\M <_o[V\_a`,TBu
.:-H1Q
u
.6!.0- 11
h
[,lXlX_iLb_io[VX_iTKj[zKY\McU]_iY\] KLdlX] YX_iz@V\_a`,T VX`[zg[kYXVX_o]gi[eYM!WV\M TglX_ieM>Ld[ezKzK_iTKj£Y\`eL
M/.0#1
VX`_aV\lXM as
© M Y\_¢V\M#u
.:*L1
`eYu
.
*71 Q u
.:!.0*L1C1
o° 1
´
p #et 2 Y0DFYT YT ?Y/ YF9[0£_iT
#
_il[K_iTg[kY\£Y\M o[V\_a`,T
`eM Y % %
.0-H1
m@M Tg`kVXM9lVXIgM{lXMVu`eV\IKMLN`@m@M ol`k
-
LN_iTK_iLN[e§`eY
®
%
.:-H1 Q K % .:-H1jE
`eYTg`
W
%
.0- 1 M{Ig[,M
W KU
~@HIKM Ç]o[el\l_o] [e)2 Y0DFYT YT59[0 YT59Z<>YF 9>u
Q u _olV\IKM zKY\McU]_iY\] KLdlX] YX_iz@V\_a`,T_iT
#
m@M gTKM9m
<
*h u
.0-H1 _a
KcOQ *
`,Yu[kT<
K
%
.0-H1
xMgTg_¢V\_a`,TOKÅ~N_oluV\IKMmKMgTK_aVX_i`eT`kqzKY\MMZYXMZTWVX_o[kBMZTWV\[k_iiLbMZTWV\lu`,YX_ije_iTg[kVX_iTKjd_aT $#-#«h7KKVV\Y\[eTglsc
zF`,lXMZmN_iTDV\IKMwzgYX`,z7`Wl_aVX_i`eTg[eg] [,lM,RUTDVXIKMzKY\MZm@_o] [kVXMw]Z[ko]KiglZhW[eTWN]`,LNzKaM VXMwVXIKMZ`eY\Ig[,l[,lLd[kT<
LN`@m@MZilb[el
M [kTWV
MDLQglVMZeMZT#je`£`,@V\lX_om@MDV\IKM>TK`eVX_i`eT`ewlM V
Ig_i]fI#Ld[e eMZl VXIK_olTK`kV\_a`,T
LN`,YXMz7`
M YXK3©M] [eTlX_aLKo[VXM{_iT>V\IKM{zKY\`ezF`,lX_¢V\_a`,Tg[k*] [,lMVXIKMLd[e_aT[elXz7M9]^V\l`eBV\IKM{zKYXM M Y\M T@c
V\_i[eKM TWVf[k_iaLNM TWVfl_aTbVXIgMzKYXM9m@_o] [V\M] [ko]gagl] [elXMehk[,lVXIg`,lXM] `eTglX_om@M Y\MZm_aT#*#«hkV\Ig[kTg <lV\` [TK`kV\_a`,T
_iTWVXY\`@m@g]M9m>_iT" h «hK] [eaiMZmIKMZYXMuLQKaVX_ac3zgYXM M Y\M TWVX_o[k*M TWVf[k_iaLNM TWVf®
o° 1 ´ p #e"!_ill`,LbMlM Vw`k?420Y86 CDHYTYT< YT59:6HD % hF]Z[kiaM9m689Z9ZY86^®VXIKMZYXMM!@_ilV\l
[Ld[kzKzg_aTKj$#§YX`,L!V\` % hW[kTgmb`,Y[kT<
K
%
Mw]Z[ki@VXIgMlXMV%#'&
.0K 1)Q
K>7%CK %TRURTR VXIKM
lM V ¬z7`WlXlX_agaM LNz@Vs `e5VXIKMB4?20YF6 D9
Y 59ZYF [2 YT9\9:0
K
_iT(!qR« % _ilugTK_aVXMeh
MQ] [eT
[el\lgLbMQVXIg[kV)!C_olugTg_¢V\M*" «)!
.0- 1
_oluV\IKMlXKglXMV`k+!Cm@M gTKMZm<,!
.0-H1JQ
#& .%
.0-11JQ
.-
! E # .- 1@
%
.0-1
~@t <HG9:r2 Y0DFYT YT ?Y/ YF9[0_iT
#
_ol[K_iTg[kY\£Y\M o[VX_i`eT
0/
`eMZYlXg]fI [lM V1!5D¥g`eY [kT<
- h
Mm@M gTKMVXIKMlM V\l2! 43
.0- 1 Q K 4 ! .0-H1E
`eYTK`
W65T
!
.0-H1 h
M¨Ig[,M
W65 0/
K 4
[kTgm% 3
.:-H1 Q #.! 3 .:-H11 Q
.#
.K 4 1jEK
4 ! 3
.:-H1
OKt <HG9:r2 Y0DFYT YT59[0eYF 9\< YT59§_ol[NzKY\McU]_iY\] KLdlX] YX_iz@V\_a`,T>m@M7TKMZm<*®
*h u 3
.0-H1 _a
KcOQ *
`,Yu[kT<
K
% 3
.0-1
° #@
p$
#,tuT<.zKYXM M Y\M TWVX_o[kM TWV\[e_aiLNM TWV_ol[DLQg¢V\_¢c«zKY\MM Y\M TWV\_i[eBM TWVf[k_iaLNM TWV9®u]fIK`<`,lXM
! Q % [eTgm#
Q87:9<;>=@?:7A?:B
~@ u 43
.:-H1 Q, .% 43
.0-H1C1)Q
? H 58JDC
3FE
;HG
!.K 1
OK % .u 3
.:-H11 Q\V .% 43
.0- 1C1
O i
HI<gl h
IKM T
'V.:#,1
_ol¨gTK_aVXM,h
Mj,MV9®%
.u 3
.:-H11 Q % 3
.0-1
k
I J
%& !!#%&$K
o° 1
´
>p ML
MZYXM[eYXM[eYX_i`e7ldzKY\`ezFM YXVX_iMZl>[CzKY\McU]_iY\] KLdlX] YX_iz@VX_i`eTLd[¤z7`WlXlXMZl\l
*
_ol>[
`,YXLKo[Q_iT
# h -/%-
ii
[eYXMlXMV\l`eB`,YXLKi[,l_aT
# h IK_iaM
- %-"
[eYXM{_iT
®
NU YT<J259ZYT ?Y® u .u
.0-11)Q
u
.:-1
O µ ° QP
YRYT ?6FY < 9\5;k® u
.0-
1 - ii 1l
u
.0-H1'$-
ii O % P
6FY Y?76T5,® u
.0-IF1qZ
u
.0- 1f
u
.0-xZ- 1
O & P
68G T9:RYI4
YT YT ?Y® u
.:- Z-"71@
u
.:- 1>'
u
.:-U1
Oo & P
G< G9[RY 9[ 5689:R 9:;® _a
- ii u .:-1
VXIgM T u
.0-
1 - ii 1f
u
.:-H1
O & P
G< G9[RY <>9Z5;® _a
- ii u .:-H1
V\IKM T u
.0-H1@
u
.:- 1 - ii 1
O& % P
G< G9[R 9:;® _a
- ii u .:-H1
VXIKMZT u
.0-1 Q u
.0- 1 - ii1 O & % P
o° 1
´
>p ©M [eilX`bTKM M9mlX`eLNM
MZ[k ,M Y¨eMZY\lX_a`,TglZ
#e¥K`,YXLKi[b,M Yfl_i`eTgl
O % P u
.0-,'$*e1l
u
.0- 1q'$*
O & P u
.:-D'V*L1qZ
u
.0-D'/B1@
u
.:-\'$*,B,1
~@¥K`,YXLKi[kc3`,TKideM YflX_a`,Tgl
O % P u .B*L1@
u
.0B,1'$*
O & P u
.0*L1qZ u .B1@
u
.:*,B,1
[,]fI$`k{V\IKMZlXMzKY\`ezFM YXVX_iMZlDIg[el[kT$_iLNLbM9m@_o[VXM_aTWVXMZYXzgYXM V\[V\_a`,T¡_aT$VXM Y\L `k Y\MZ[elX`eTg_aTKj7 ¥K`eY
_iTglV\[eTg]M,h ¨y# LNM9[kTgl¨V\Ig[V_a
M <TK`
VXIg[kVjeM TgM Yf[kiadK_iYfmKlgeh@`,YXLd[ea_iª M9m>[el)#
B 4 u .0-,'
7.9 4 1
h[kT7mVXI7[V{jeM TgM Yf[kiag[VflJ7eh*`eY\Ld[ki_aªZMZm£[,l)#
B 4 u .0-e'
?41
h*VXIKMZT_a[ea
Mb <TK`
[zKY\_a`,YX_[kF`e@VN_iTgm@_iW_om@g[e
7
_ilVXI7[VN_¢VN_ilN[K_iY\mC`eYN[£g[kVZh
M] `eTg] a7m@M>V\Ig[V
7
g_iMZl)#
B 4
u
.:-,'
7.9 4
? 41
´ ° ± p <TK`
T ;+2 YsrAF tFG<H6sF 829:0
¬yJ# ¨y# 4YHY TGR7YF 9!76 Y ¬y&£ H ¨yu
" ¬yJ <&20YF6 ¨H H ¨y ! ¨H <&20YF6 Rsm@MZL k
L
M Y\M_il[eT_iLNz7`,YVf[kTWVzKYX`,z7MZYVsDVXIg[kVw[¬LQKaVX_¨zKY\MMZYXMZTg]M{Y\M o[VX_i`eTLd[DzF`,l\lM9lXlZ
o° 1
´ p
t¬LQKaVX_¨zKY\MM Y\M T7]M{YXMZi[kVX_i`eT
6T9[6$#YF6 9 YT768G Y 2 4425YF 89[; ¬`eY 6&%F' hK_a
`,Yu[kT<
-b
h %
.:-H1
_ol[N]i`,lXMZmlM VZ®%
.:-1)Q
% .u
.0-11
Ç] _ol)( 4+*,.-0/214365 387:9_iT8$#9 «hq]i`,lXMDV\`<;>=-?->@5A5B13C1 430/_iT8.3h[kTgmD;*FEG;>=-_aT 3
:KaVX_dzKY\MMZYXMZTWVX_o[kM TWVf[k_iaLNM TWVflD_iT
IK_i]fI¤V\IKMY\M o[V\_a`,T¦_ol Ç]d[kY\M£l_iLNzKiM Y>FMZ]Z[kglXM
MjeMV
% .u
.:-H1C1Q
%
.:-1
R«
'/.0#1
_olgTg_¢V\Meh Ç]¨_ilV\YX_i<_i[eaiDl\[VX_olgMZm§
H I
! Q !CQ! %&
JKAL MONQPSRT>UVTXWYR[Z\R^]_PS`CabUdc^`VWYceNf`gUVTXNha
o° 1
´ p
#e¥g`eYw[eTW
- #
M m@M7TKM{VXIKMlK7lM V`e
®i
.0-H1Q
-0
E+-
-
©M
YX_aVXMi
.0*L1
`eYYi
.
*71
!_ill`,LbMlM V`k]`,zK_iMZl5`e*MZaMZLNM TWV\l`k h<[kol` ]Z[kiaM9m
689\9\YF6^®{VXIKMZYXMNM @_olsVfl[.Ld[kzKzK_iTKj #YX`,L !¦V\` [eTgm£`,YQ[kT<
-
MN]Z[kiVXIKMDlXKglXMV
#&
.0-H1
`k !5h@V\IKM lXMV zF`,l\l_iKi>MZLbzKVs`eV\IKM ?420YF6HD 9 Y 9 Y? 8;
-
_iT !5
twlwgl7[k3h
M m@MgTgM#
.! 1,Q
>#
.- 1&
5 Q
-L
E # &
.0- 1TdQe)
¥g`eYw[eTW
- #
h!
.0-H1
_ilVXIKM lXKglXMV`k ! m@M gTKM9m><!
.0-H1)Q
#& .i
.0-11)Q -
! E #. - 1@
i
.0- 1&
~@t YFYF 4 2 Y:DFYT YF ?Y YF9[0
_olw[>K_aT7[kY\Y\M o[V\_a`,T`eM Y !uR«
- h
MmKMgTKMQVXIKM
lM V\l1!
.0- 1+Q .-
! .0-H1TE
-
-d`eYTK`,- !
.:-H1
hB[eTgm2i
.:-H1(Q
#.
!
.0-11
HIKM YFYF 2 4Y0DFYT YT59[03YT59Z< YT59>u
_olm@M7TKMZm<
*!
u
.:-H1 _a
- 4 OQ *
`,Yu[kT<
- 4 i
.0- 1
HIg_ilTK`kV\_a`,TQ[kzgz7M9[kYflB_iT "
h:5 [kTgm «h.7h
_aVXIbl`,LbMYXM9lsV\YX_o]^V\_a`,T
`,T
^he[eTgm*O@h G5[kTgm
_aVXIK`,@V5YXM9lsV\YX_o]^V\_a`,T ^RUT*" h .3h#
/
_il5[Ld[kzKzg_aTKjY\`eL
! VX`
MV.
% 1
hgKKVZhK`,YVXIKMQzKYX`,z7`Wl_aVX_i`eT7[k§] [,lMVXIg_ilwLN[e eM9lTK`dm@_ *M Y\M T7]M O «®q_¢VwlXD]M9lVX`DmKMgTKM
# .- 1 Q/0 .#
/ .-
1C1
L M Y\M¨[eYXMV
``kV\IKM Y`,YXLKi[kVX_i`eTglZh`e<<_a`,glXa{MZWK_i[kiM TWVVX`{m@MgTg_¢V\_a`,T " $# c«Og®
° #@ p
¥K`eYu[eT<
*! # h
*!
u
.0-H1
_ 2i
.:-H1@
i
.:*L1
u
_olu[bzKYXM c«] _aYf]gLNl\]Y\_iz@VX_i`eT[kTgm
M{Ig[,Meh<`,Yu[kT<
-b #
®(u
.0- 1 Q ? ; = 5 C E
;HG
- 4
lk
L M Y\M [kY\MwV\IKYXMZM{YXMZLN[eYX @l[kF`eKVVXIK_olum@M gTK_aVX_i`eT®
° #@ p
#,tuT<LKaVX_ac3zKY\MMZYXMZTWVX_o[k§M TWVf[k_iaLNM TWVw_olu[Nj,M TKMZY\[ezKY\MM Y\M TWV\_i[e§M TWV\[e_aiLNM TWVZ®
_¢VwlXD]M9lVX`bVf[k eM)#
.! 1@
& hK_3M,VX`NV\[e eM{[NLd[kzKzK_iTKj #YX`,L !V\` &
~@R«% _olgTK_aVXM,hK[lX_aLNzKiM{]`egT,V\_aTgj[kY\jegLbMZTWV `,Y¨VXIKMZ`eY\M L " #ZQ7MZa`
lIg`
l5VXI7[V
M] [eT
[el\lgLbM
_aVXIK`,@Vui`,l\l`kj,M TKMZY\[ea_aVsNVXI7[VF! _ol¨gTK_aVXM_iTm@MgTg_¢V\_a`,T
"
$#,
OKRUT¡[kT<#] [,lM,hm@M gTK_aVX_i`eT
" #] `eKom¦7M£lX_aLNzKi_agMZm ¬lXM M£m@M gTK_aVX_i`eT
" %[kTgmCVXIKMZ`eY\M L
"
$#9
7MZa`
_aVXIK`,@V i`,l\l`ej,M TKMZY\[ea_aVs*®
MN] `eKomV\[k ,M ! Q
[kT7m # Q 7A9 ;>=@?:7A?:B
L ` M ,M Y9h
VXIKM]`,TKTKM @_i`eT
_aVXILQKaVX_ac3zgYXM M Y\M TWVX_o[kKMZTWV\[k_iiLbMZTWV\lje_ieM Td_iTDzF`e_iTWV #u_olTg`kV¨lX` _iLNLbM9m@_o[VXM
_¢V\IVXIK_olulX_aLNzKi_¢7MZm`eY\L.lk
# ° ##
p$
¥K`,Yu[kT<DlgglM V\l
-I7%-
`k
#
M{Ig[,Me®
#e
-T u
.0- 1 _ i .0- 1f
i
.:-"71
~@R« i
.:-U1@
i
.0- 1
VXIgM T i
.0-T1f
i
.:- 1 - 1
pYX`<`ks® #, R«
-
u
.0-U1
hV\IKM T `eY[eTW
* - M Ig[,M i
.0-F1Y
i
.:*e1 h{VXI<gl
i
.:-IF1@,?
5 ; i
.0*L1
© MIg[eM]iMZ[eYXi
? 5 ; i
.0*L1)Q
i
.:- 1
R«i
.0-F1@
i
.0- 1 h
V\IKM T `,Y[eTW
*c -
Mdj,MVi
.:-IF1 i .0*L1
h5_ÇMeih
*g u
.:-IF1
¬HIK_ol Y\MZlXKaVQM <VXMZTgmKl
Y\M Ld[eYX
" ~QVX`bV\IKM `,YX_iMZl
IK_o]fI.[kY\MTg`kVgTK_aVXMZa[@_a`,Ld[VX_iªZ[eKiMe
~Ki
.0-F1"
i
.:- 1 [eTgm
-
i
.0-F1
®HIKMZTV\IKM Y\MbM @_ilV\l$-
!
.0-F1
lXg]fIV\Ig[V
# .- 1 Q - i
.:- 1[Z
i
.0-IT1 Q i
.0- 1 - 1
R«%-
i !
.0- 1 - 1JQ
!
.0-IT1>Z
!
.0- 1 MjeMV
-
iUd
-{Y\`eL - !
.0-
1 h@VXI<gl
-b
i
.0-
U1
- 1
lk