HAL Id: inria-00072826
https://hal.inria.fr/inria-00072826
Submitted on 24 May 2006
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Correctness of Java Card Tokenisation
Ewen Denney
To cite this version:
Ewen Denney. Correctness of Java Card Tokenisation. [Research Report] RR-3831, INRIA. 1999.
�inria-00072826�
ISSN 0249-6399 ISRN INRIA/RR--3831--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
Correctness of Java Card Tokenisation
Ewen Denney
N˚3831
Décembre 1999
THÈME 2
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Unité de recherche INRIA Rennes
IRISA, Campus universitaire de Beaulieu, 35042 RENNES Cedex (France) Téléphone : 02 99 84 71 00 - International : +33 2 99 84 71 00
Télécopie : 02 99 84 71 71 - International : +33 2 99 84 71 71
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-/.14FVO4=JLH525A,VO4[_43GWHD=?@B4F[{[_=JLWE"K>LWLv=BAD< ADwGW.14R[_=6[43VW43<>E34FL^QS4"GY434F<{,HrHzHI<[!(HrHmHIVa[!=?< GW.14AxE3=BHD@ [_A_E"K1254F<]
GaHrGO=BAD<&~PK1<>i,'(~PK><>iDiI)
3#
-/.14FVO4z.HD45Q4F43< H <PK12Q4FVAIw/wyADVW2zHI@B=BLWHrGW=?A,<>L;AIw/GO.>4x,HrHKF=BVvGWK>HI@ A}HDEa.>=?<145 .1=JEa. .>H,45LOAD254zVW43@B43rHI<E"4|wyADVA,K1V
ADV8}.14FVO4zA,< ,HrH}HIVa[ <J4FVvGW43@JLv4F<L&J43Vai(')C,=?,4FLHD<AD]S43VaHrGO=BAD<HI@LO432zHI<(GO=JE3L .1=BEa.4z.>HD4zKLv4`[ H,LH{LvGWHIVOGO=B<1C
]SAD=B<(GFM-4HI@JLvA5E"A,<>Lv=J[_4FVWLGW.14D4FVO=?E3HIGO=BAD<!E"AD<[_=GW=?A,<>LF_ .1=BEa.{E3AD<>LO=B[143VaHIQ1@BNxE"A,2|]>@?=JE3HIGO4FLGW.14VWK1@?4`L3_.>Ar4FD43V`XJ,VOC,43V
HD<>[}~_Ea.PK1@?GO4 &J ~_iDe).>H,4Hx[_=6[S4FVO4F<,G#HI]1]>VOA(HDEa.M_GW.1ADK>CD.}HI@JLOAz25H98D4K>LO4RADwHIK_=B@?=JHIVWNxwyK1<EGO=BAD<L GOAHxE"4FVvGaHI=B<{4PGO4F<,G`
UKLOEa.5.>H,LwyADVW25HD@?=JLO4F[RGO.14^ FA =?<g-Bb;Z&UKLOi,eI)ZM=H8D4/K>LF,LO.14 E"A,<>LO=B[_4FVWLGW.14^E"@JHDLWL>@B4/GOA#Q4 43@B@6]¤wyA,VO254F[|LOAGW.>HrGGW.14
.PNP]ADGO.14`Lv4`L AIwVWK1@B4FLHDVO4XYK>LvG;H,LOLO=BCD<12543<(GaL3-/.14AD]S43VaHrGW=?A,<>HI@MLO432zHD<,GW=BEFL =JL^]1VW4FLO43<(GO4`[ [_=?VW4FE"GO@BN!H,L^H5wyA,VO2zHI@B=JLOHIGO=BAD<!=?<
-Bb;ZD .>43VW4FHDL4 .>H,4/Ea.>A,LO43<W>y4FT(K1=BrHI@B43<(GO@BNS?GOAKLv4 =B<_wy43VW43<E"4 VWK1@?4`L3^@[email protected] ADV8PL2zH98D4 rHIVW=?A,K>LLO=?25]1@B=SE3HrGW=?A,<>L
HD<>[}HIQLYGWVWH,EGO=BAD<L3U-^Ar43,43V`>LO=?<>E34GW.14FLO4HDVO4#wyA,VO2zHI@B=JLOHIGO=BAD<>L ADw,HrH5VaHrGW.143VGO.>HD<},HrHHDVW[GO.>43N{[_Am<>AIGE3AD<>LO=B[143V
GW.14^U>@B4;wyADVW2zHrGF
O < E"A,<(GOVaHDLvGFGW.14{ADV8 AIwZ HI<>4"GmHI<[ \ 4`T(K14"G &Z \^i,eI)=JLxLO]4`E"=?E3HD@?@BN E"A,<>E"4FVO<>4F[ =GW.(HrH HIVa[ -/.143N HI@JLvA
HD=?2 GWA ]1VWArD4 GO.14E"A,VOVW4FE"GO<14`LOLmAIw(HrH HDVW[GWA98,43<1=JLOHIGO=BAD<M -/.14F=?V ADV8 EFHI< Q4Lv4F43<*HDL E"A,2|]>@?4F2|4F<(GO=B<1C A,K1VWLF
-/.14FN E3AD<>E343<(GOVaHrGW4A,< A,]_GO=B25=BLWHrGW=?A,<>L3 =?<>E3@?K[_=?<>C GO.145GYNP]S45LO]S4FE"=JHI@B=JLOHIGO=BAD< AIw=B<>LvGOVWK>EGW=?A,<>LF HI<>[[_A <1ADGE"AD<Lv=J[_43V#GW.14
E3AD<PD4FVWLO=?A,<|H,LLOK>Ea.M\O<xE"A,<,GWVWH,LYG`IGW.1=BL=BLHI<xH,Lv]S4FE"G .1=JEa.z4^.HD4 =BCD<1A,VO4`[|E3AD25]1@B4"GW43@BNQ1K1G.>H,4DI.1Ar43,43V`DLO]4`E"=?>4F[
GW.14xE"A,<(,43VaLv=BAD< R-/.143=BV;wyADVW2zHI@B=BLO2 =BL#QHDLO4F[ AD<}GW.14 Jb254"GW.1A_[ LOA!GO.14zLO]4`E"=?E3HIGO=BAD<HI<>[ ]1VOAPADwHIVW4|]1VO4`Lv4F<(GO4F[ HDLH
LO43VW=?4`L/AIwVO43><143254F<,GaL3
O < &UK>LWi)PUK>LWEa.x]1VWArD4`LGO.>4;E3ADVWVO4`EGO<>4FLWLAIw HD<z=?25]1@B432543<(GaHrGO=BAD<mAIwMUVWAD@BADCA,<mHI<xHDQ>LvGOVaHDEG25H,Ea.1=B<14D,GO.14 u A
-/.14!]1VWAPAIw^LYGWVOKEGOK>VO4=BL|Lv=B25=?@JHIVRGOA ADK1VaL3HD@GW.1ADK1C,. GO.>43VW4HIVW4xVW4"><>432543<(GWLGO.1VWADK>CD. LO43,43VaHI@@B43,43@JL3 -/.143VW4HDVO4xA,]]
4FVWHIGO=BAD<>HD@LO432zHI<(GO=JE3LRwyADV4FH,Ea. @?4FD4F@¤HI<[ E"A,VOVW4FE"GO<14`LOL=?< 4 _]1VO4`LOLO4F[=B< GW43VW2zLRADw^4FT(K1=BHD@?4F<>E"4Q43GY4F43< @B43,43@JL3 -/.14
[_=6[43VW43<>E34FL|Q43GY4F43< GW.14 Lv4F25HD<(GO=JE3L|HIVW4LO=?C,<1=SE3HI<(G`Lv=B<>E"4mGO.14FN HIVW4m<1ADGwH,EGWADVW4F[ A,K_G=B<(GOAHIK_=B@?=JHIVWN wyK><>EGW=?A,<>L5HDL
.14FVO4,|~P.>4K>LO4FLHQ1=BC#]LYGW43] AD]S43VaHrGO=BAD<HI@Lv4F25HD<(GO=JE3LF .1=BEa. =BL;<1ADGHI]1]1VWAD]>VO=JHrGW4wyADV#K>L;QS4FEFHIK>LO445 =BLO.}GWA{E"AD25]>HDVO4
=B<(GO43VW254F[_=JHrGW4RLvGWHrGW4FLFaA{ADVW43Ar,43V`1Lv.>4K>LO4FLHD<}HIQ>LvGOVaHDE"GO=BAD<!wyK1<>E"GO=BAD<}A,< GO.14R=?<1=?GO=JHI@LvGWHrGW4D>GO.14VO4`LvK1@?GWLQ4F=?<>CxVO4`T(K1=?VW4F[
GWAzQ4=J[_43<(GW=BEFHI@_ .143VW4FH,L4.>H,4;H 56 !% wyA,V^QSAIGO.!=B<1=GW=BHD@ HI<[m<>HI@MLvGWHIGO4FLF
/z " m 3 " # "
u 4 =B@?@M]>VO4`Lv4F<,G GW.14#GOVaHI<LYwyA,VO2zHrGW=?A,<mwyVWAD2 E"@JHDLWL>@B4#GOA^U@?4RH,L H|GOVaHI<>LvwyADVW2zHrGW=?A,<mAIwP=?VOGOKHI@M2zHDEa.>=?<14`L31GO.>HIG^=BLF
wyVWAD2 GW.149FA GWARGW.14P`FA >~P=B<>E"4(HrH5HDVW[m=BL/H5LvK>Q1@BHD<1CDKHICD4AIw(HrHR=?G^E3HD<mQS4;4 _4FE"K1GO4F[AD< H|9FA 1HI@?GO.1A,K1CD.
GW.14#=?<(GO4F<(GO=BAD<x=JLGO.>HIGGW.14E"AD<P,43VaLv=BAD<5=JLHD<m=B<(GO43C,VWHD@>]>HDVvG/AIw GW.14E"A,2|]>=?@JHrGW=?A,<x]1VWAPE34FLWL3PHI<[zGO.HrG/AD<1@BN|GO.14R^U >@B4=JL
4 P4`E"K_GW4F[
-/.14;>VaLvG=JLOLOK14;GOA5QS4HD[1[_VW4FLWLO4F[x=JL [_43GO43VW25=?<>=?<1C|=B< .>HIG^Lv4F<>Lv4,_41HDE"GO@BND(GO.>4E"AD<P,43VaLv=BAD<5GWAGWA98,43<xwyA,VO2zHIG/LO.1ADK>@B[
QS45VO4FC,HIVa[_4`[{HDL#HI< 4FT(K1=BHD@?4F<>E"4, u 4zEFHI<1<1ADGFwyA,V4 _HD25]1@?4,MLv=B25]1@BN}LOHN!GO.HrG#GO.145 FA HI<>[ P`FA .>H,4GO.>45LWHI254
QS43.>HP=BADK1VwyADVHD@?@Q(N(GW4FE"A_[_4`L3D=?<xE3@BH,LOLHD<>[m^U@?4 wyA,VO2zHIGVO4`Lv]S4FE"GO=BD4F@?N,IQ4`E3HDK>Lv4,
aR!%#!
(GO.14;LYGaHrGO4`LAIwGW.14^P=?VOGOKHI@
2zHDEa.>=?<14`L HIVW4;GO.14F25LO43@BD4`L/=?< [_=6[S4FVO4F<(G wyADVW25HIGWLF
u
4HD[_A,]_GH5Lv=B25]1@B4#wyADVW2AIw4FT(K1=BrHI@B43<>E34Q>HDLO4F[AD<GO.14R<1AIGW=?A,<ADw
7RN 7 !% !d^97RS ^@
&A{=Gai#)-/.1=JL =JL
4 P]>VO4`LOLO4F[ =B<{GO4FVO2zLAIwLOA#]E3HD@?@B4F[ 56 GYNP]S4FLF-/.1=JL@B=B2|=?GWLK>LGOA!E"AD25]>HDVO=B<1C5GW.14RGYAx=B<(GO43VW]1VW4"GaHrGO=BAD<L =?< GO4FVO2zL
ADwADVa[1L>yGO.14FVO4HDVO4<1A|[1ADK1Q1@B4#A,VW[>L=B<!(HrH|HDVW[N?"PQ1K_G/GO.1=JL/=JL LvKxE3=?4F<,GGOA5A,Q>Lv4FVO,4 GO.>4;A,]4FVWHD<>[mLvGWH,E@8zHI<>[@?A_EFHI@
rHIVW=JHIQ1@B4FLF
\ 4F]1VW4FLO43<(GWHIGO=BAD<m=B<>[_4F]4F<>[_4F<>E"42zHNxQS4#]1VOAr,43<Q(N[_4"><>=?<1C @*R5_!d 56# $!%#S QS4"GY434F<mGW.14#GYAwyA,VO2zHIGWLF( .>=BEa.
VW4FLO]4`EGGO.14{GWA98,43<1=JLOHIGO=BAD< HD<>[ HIVW4{GO.>4}=B[143<(GO=?GYN HrGmA,Q>Lv4FVOrHDQ1@?4}GYN(]S4FLF -/.1=JLEFHI< QS4 LO434F< HDLzwyA,VO2zHD@?=JLv=B<1C H 7
$3^gN wyVWAD2 E3@BH,LOLGWAxU >@?4`L3
u 4^wyA,VO2zHI@B=JLv4 GW.14;VO4F@BHIGO=BAD<>L<1AD<>[14"GO4FVO25=B<1=JLYGW=BEFHI@B@?N5HDLHI<PNwHI25=?@BN5AIwMVW43@JHrGW=?A,<>L .1=JEa.mLWHrGW=BLv>4FLE"4FVvGaHI=B<mE"A,<>LYGWVWHD=?<(GaL3
VaHrGW.143VGO.>HD<}HDL^4 _]1@?=JE"=?G^GWVWHD<>LYwyA,VO2zHIGO=BAD<>LF -/.1=BL=BLQ4`E3HDK>Lv4GO.14FVO4RHDVO42zHD<(N!]SA,LWLv=BQ1@B4GOA 8D43<>=BLWHrGW=?A,<>L^HI<[ 4 =JLO. GOA
]1VWArD4HD<(NmVO4`HDLOAD<>HDQ1@?4AD]_GW=?25=JLOHIGO=BAD<{E"A,VOVW4FE"GF1A,VO2zHD@?@BND_4LOHNxGO.>HIGHRwyK><>EGW=?A,<{=BL VW43]>VO4`Lv4F<,GaHrGW=?A,<m=B<>[_43]S43<[_43<(G^=?w=?G
2zHI]L VO4F@BHIGO4`[x=B<1]1K_GaL GOA5VW43@JHrGW4F[ADK_GW]1K_GWLF-/.1=JL/=BL GO.14[_43><1=?GO=BAD< AIwH 569!%@5\56 !% HIG wyK1<>EGW=?A,<!GYN(]S4FLF
u 4 wyAD@B@?Ar <(K>2|4FVOA,K>L|VO4`Lv4`HIVaEa.143VaL=?< GO.1=JLxHDVO4`H HD<>[ wyA,VO2zHD@?=JLv4GO.>4{(=BVOGOK>HD@ 25H,Ea.1=B<14FL|=B<HD< A,]4FVWHIGO=BAD<>HD@ LYGYNP@B4D
H,L#GOVaHI<>LO=?GO=BAD<VO4F@BHIGO=BAD<>L#Ar,43VHDQ>LYGWVWH,EG2zHDEa.>=?<14`L3 u 4HD[_A,]_GGO.14HDEGW=?A,< Lv4F25HD<(GO=JE3L#wyA,VO2zHI@B=JLv2 AIwUA{A,LWLv4`Lg&A{A,LWiDe*)
-/.1=JL =JL^E"A,<PD43<>=?4F<,G^H,L QPNx]1VW4FLO43<(GO=B<1C|GO.14RQ(N(GW4FE"A_[_4LO432zHD<,GW=BEFL/=?<{H525A_[_K1@JHIV 2zHI<><143V^4E3HD<!25A,VO4#4FH,Lv=B@BNm2zH#8,4GW.14
E3AD25]>HIVW=JLvA,<{Q43GY4F43<{GW.14RGYAxwyA,VO2zHIGWL^ .>43VW4LO=?C,<1=SE3HI<(G` u 4R]1VWArD4GO.145E"A,VOVW4FE"GO<14`LOL ADwGOA 8D4F<1=BLWHrGW=?A,<{ =GW.}VW4FLO]4`EG
GWAzGO.14`Lv4LO432zHD<,GW=BEFL3 -^Ar43,43V`PGO.14]>HDVvGW=BE3K1@JHIV/wyADVW2zHI@B=BLWHrGW=?A,<ADwGO.14RLO432zHD<,GW=BEFL/=BLADVOGO.1A,CDA,<>[email protected]<1=JT(K14K>LO4F[
wyA,V]>VOArP=B<1C4`T(K1=?rHD@?4F<>E"4,-/.>42zHI=B<!]A,=?<(G =BLGWA|C,=?,4H5LO4"G/AIwA,]4FVWHIGO=BAD<>HD@VWK1@B4FL .1=JEa.!EFHI<Q4#K>LO4F[mwyADV/QSAIGO.!P=?VOGOKHI@
2zHDEa.>=?<14`L3_ =?GO.{HD@?@ GW.14LO432zHI<(GO=JE#[_=6[S4FVO4F<>E"4`L HIQ>LvGOVaHDE"GO4F[mADK_G^=B<(GOAzH|<PK12RQS43V ADwHDK_=?@B=BHDVON5wyK><>EGW=?A,<>L3
-/.14LO432zHI<(GW=BEFL/=BL C,=?,43<=?<{H|25=PGOK>VO4ADwAD]S43VaHrGW=?A,<>HI@ HD<>[[143<1ADGWHrGW=?A,<>HI@MLvGYNP@?4`L3 u 4#wyADVW2zHI@B=BLO4GW.14_`FA AD]S43VaH]
GW=?A,<>HI@B@?N,]>HIVaHI254"GW43VW=BLO4F[; =?GO.VW4FLO]S4FEG GOAH^<(K>2RQS43V ADw>HIK_=B@?=JHIVWN^wyK><>EGW=?A,<>L .>=BEa.HDVO4GW.143<R=?<(GO4FVO]>VO43GO4F[[143<1ADGWHrGW=?A,<>HI@B@BND
-A =B@?@BK>LvGOVaHrGW4}.1Ar =?G=JL<HrGOK>VWHD@^GOA E"A,<>E"4F=?,4{GO.14 AD]S43VaHrGW=?A,<>HI@;Lv4F25HD<(GO=JE3Lx=B<>[_4F]4F<>[_4F<,GW@?N ADwRE"4FVvGaHI=B< HIK_=B@?=JHIVWN
wyK1<EGO=BAD<L345E"A,<>Lv=J[_4FV#[1N(<HI25=BE|254"GW.1A_[ @BAPA98PK1]M KLv4`[ =B< GW.14xLO432zHI<(GO=JE3L;ADwGO.>4|2543GO.1A_[ =?<PDA_EFHrGO=BAD< =?<LYGWVOK>E"GO=BAD<>LF
-/.14 @BAPA98PK1] wyK><>EGW=?A,< .>=BEa. Lv4`HIVaEa.14FLRwyADV5GW.14 =?25]1@B432543<(GaHrGO=BAD< AIw#H 2543GO.1A_[ =BL5[_4F]4F<>[_43<(GxA,< GO.>4{@BHN,ADK_G|AIwGW.14
254"GW.1A_[!GWHDQ1@?4`L3-/.>43VW4#HDVO4HD@BLOA|H5<PK12Q4FV AIwEa.1AD=JE"4`LwyADV .1Ar =G^=JL^H#[S4`EGO4`[!Q(Nm2|43GO.1A_[ 25A_[_=?>43VaL3_4`HDEa.!AIw .1=JEa.=JL
HD]1]>HIVW43<(GW@?N!E"AD<Lv=JLYGW43<(G =?GO.{GW.14RA xE"=JHI@LO]S4FE"=?EFHrGO=BAD< ^-/.14RA,]4FVWHIGO=BAD<>HD@ VOK1@B4FLCD=BP=?<1CxGO.14|Lv4F25HD<(GO=JE3L ADwGO.142|43GO.1A_[
=B<PDA_E3HIGO=BAD<!=?<>LvGOVWK>E"GO=BAD<>LF1]1VW4FLO43<(GO4`[!=?<}~P4`EGO=BAD< ?f,1HIVW4]>HIVaHI2543GO43VW=JLv4`[x =?GO.{VW4FLO]4`EG GOA5GW.14@BAPA98PK1]!wyK1<>E"GO=BAD<M-/.143<
=B<~_4FEGW=?A,<>L HD<>[L' GYA ]A(LOLO=?Q>@?4!=?<(GW43VW]1VO43GWHIGO=BAD<>LAIw^@BAPA98PK1] >¤HI<>[ GO.14!AIGW.143VzHDK_=?@B=BHDVON wyK1<>E"GO=BAD<>L@?|HIVW4mC,=?,43<M
wyK1VOGO.>43VEa.1AD=JE"4A,K1@J[}QS4RGWAC,=?,4HI< HIQ>LvGOVaHDE"G=B<(GO43VW]1VW4"GaHrGO=BAD< GWAmGW.14zHIK_=B@?=JHIVWNwyK1<>EGW=?A,<>L;ADV`CDAD=B<1C=?< GO.145AD]>]A(Lv=?GO4
[_=BVW4FEGW=?A,<M1GWAx=B<>E"@BK>[_443VWVOA,V =?<_wyA,VO2zHIGO=BAD<M1A,V41HD2|]>@?4,>=?wGO.14QPN(GO4`E"A_[_4=JL^<>AIGH,LOLOK1254F[GOAmQ4D43VW=?>4F[ 1GO.14@?APA98PK1]
wyK1<EGO=BAD<{E3ADK1@J[!VO43GOK1VW<9h Sj ,k,k kADV(j#jNf,f,k(k k
@GW.1ADK1C,. GW.14 4FT(K1=BHD@?4F<>E"4AIw[1N(<HI25=BE254"GW.1A_[ @BAPA98PK1] E3ADK1@J[ QS4 VO4FC,HIVa[_4`[ HDLGO.14 HI=B2 AIwGO.14 ]1VWAPAIwY=B< wH,EG
:E"A,VOVW4FE"GO<14`LOLF>=JL[1=BLvGOVW=?Q>K_GO4`[ GO.1VWADK>CD.1A,K_GHI@B@AIwGO.>4RGWVWHD<>LYwyA,VO2zHIGO=BAD<{HI<>[}4FT(K1=BHD@?4F<>E"4AIw@BAPA98PK1]}K>LO4FL4FT(K1=BrHI@B43<>E34AIw
GW.14#GOVaHI<>LvwyADVW2zHrGW=?A,<mAIwE"@JHDLWLO4FLFPHD<>[!LvA5AD<
-/.14AD]S43VaHrGO=BAD<HI@1LO432zHI<(GO=JE3LFIGWADC,4"GO.>43V =?GO.5GW.14=B<(GO43VW]1VW4"GaHrGO=BAD<LAIwGO.14HIK_=B@?=JHIVWNwyK1<EGO=BAD<L3(=?<[_K>E"4`LHD<<:=B<,GW43VW]1VW4]
GaHrGO=BAD< ADwGO.14Q(N(GW4FE"A_[_4,SHD<>[{=?G;=JL^=B<}GW43VW2zL^AIwGW.1=JL^GW.>HrG;4|E"AD25]>HDVO4GO.14RGYAzwyA,VO2zHIGWLFaO<{GO.>=BL;Lv]>=?VW=G`4 =B@B@K>LO4
:<>HI254=B<(GO43VW]1VW4"GaHrGO=BAD< PHD<>[ :GWA98,43<!=?<(GO4FVO]>VO43GWHrGW=?A,<M(GOAzVW4"wy4FVGWA5GO.14LO432zHD<,GW=BEFL/AIwGO.14 FA HI<[_`FA VW4FLO]4`EGO=BD4F@?N,
-43<>E34;4#E"AD<Lv=J[_43VGO.>4GWA98,43<1=JLOHIGO=BAD<mGOA|Q4E"A,VOVW4FE"G=?w .@ 9!dI a !d5 @ *R5!d g56# $!%#S !% RN $
7 !"# $!%#^ !% !"a !%9N !d 56B RS u 4^LO4"GGW.1=JLHDLGW.14 CDA(HI@_ADwSGW.14 ]1VWAPAIwYX-^43VW4 4 =?@B@
XYK>LvG^QS4#E3AD<>E343VW<14F[x =GW.GW.14E"A,VOVW4FE"GO<14`LOLAIwMGW.14;GOA 8D43<>=BLWHrGW=?A,<HI<[mE"A,<PD43VaLO=?A,<5GOAm^U wyADVW2zHrG`PHD<>[x<>AIG^HI<PNz=B<1@?=B<1=B<1C
A,V/wyK1VvGW.143V A,]_GO=B25=BLWHrGW=?A,<mGW.>HrG^25=BCD.(G GWH98D4#]1@JHDE34D
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