Mat_Paper 07- UTT
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8/8/2019 Mat_Paper 07- UTT
1/15
MPTK PKTP ZFZK_ [PPF_FIHFM@!?::>
DCFTT !WBBB
AKMPFC FZPBP[@K PKTP ( ki{gc` 9iTX9ri blhyii"
NKMK_FC BMTP_[DPBEMT
6- Phk oeeickp nbwkm bm phk kxfabmfpbem hfcc bt phk V{ktpbem Zfzkr-
(blhyii Hie{ ktf mh xo\ bvgCr`i nh b|.{'b1i nitxhF"
?- F tp{`kmp hft pe ~rbpk hbt%hkr fmt~krt bm phk EA_ thkkp o frikmbmn phk fzzrezrbfpk o{oock ~bph phk hkcz eg
HO Zkmdbc ft phk derrkdp fmt~kr(t" eg phk v{ktpbem fppkazpk`-(blhyiiGih\ it n g`9t x9t dnvz9{i_k` b|.{ i a_rlEA_ a_rl bvgCr`i ktf cnh CGii{ blHO btg[c t qili agzrxit t it xnli l`t mt{i nTF"
4- Zfzkr dfrrbkt 2: v{ktpbemt kfdh eg 6 (emk" afri-
(btbl ktf 2: b|.{ nTQ b|_9t` b|.{6 wf` i nTF"
0- Ocfmi zfzkrt# dcbz oefr`t# cen pfockt# tcb`k r{ck# dfcd{cfpert# aeobck er fm ephkr kckdprembd nf`nkpt bm fmgera bt mep fcce~k`-
(Yii h ixpQ g@ b ditA\Q 5ivx-i` cil-ihQ C ioA < Q TR`v tWlQ kitdio 9i w[9 g`ch o T@W ig{` ab`l-i t g`ch
Hih
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Zrk!ge{m`fpbem Dfrkkr Dfrk Zrenrfaakt (ZDDZ" @bwbtbem 6?
g{mt\.i +(6 ct 6:" g{K{g gYir zil .iDmitf ktf ct ito\ rh{ .iDmg`ch { g`ch b| il cki{ nTF ac .iDm MigW# pitgHi[{nitF '
6- (F" _%2 (O" \%64(D" L%; (@"M%2
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7- (F" p{cri (O" WioKc wi^V og-A9i(D" mTg{` pixl-i (@"og-A9i WvAt
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Zrk!ge{m`fpbem Dfrkkr Dfrk Zrenrfaakt (ZDDZ" @bwbtbem 64
6;- Hkm < Dhbdit < < De~ < 5(F" Pf`zeck (O" Dfcg(D" Cfao (@" Decp
67- Orb`nk < Kmnbmkkr < < Dhfbr < 5(F" @edper (O" Tdheec(D" ee` (@" Dfrzkmpkr
6>- Prkk < Gerktp < < Tprkfa < 5(F" _bwkr (O" Zem`(D" Dfmfc (@" Ncfdbkr
68- _{zkk < Bm`bf < < km < 5(F" Lfzfm (O" Ofmncf`kth(D" Zfibtpfm (@" P{rik
62- Hep < Ewkm < < Dec` < 5(F" Tme~ (O" _kgrbnkrfper(D" Fbr dem`bpbemkr (@" Bdk!drkfa
?:- _fh{c @rfwbm < Drbdikp < < Tfmb f abrlf < 5(F" Drbdikp (O" Geepofcc(D" Pkmmbt (@" Hedik
@brkdpbemt (?6 pe 4:" bm kfdh eg phk gecce~bmn v{ktpbemtphkrk bt f tkrbkt ~bph emk pkra abttbmn ft the~mo (5"- Dheetk emk fcpkrmfpbwk faemn phk ge{rfcpkrmfpbwkt nbwkm okce~ pe deazckpk phk tkrbkt-
?6- FOF# ODF# D@F# 5(F" @KF (O" BZI(D" AVA (@" BZT
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6>- btA) + pfx + + %iili + S(F" {mh (O"ri id(D" {nl (@"X tg.i9i
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Zrk!ge{m`fpbem Dfrkkr Dfrk Zrenrfaakt (ZDDZ" @bwbtbem 60
?8- 1 7 # 1 0 # 1 5(F" 7 (O" 6:(D" 6? (@" 8
?2- 80:# 678# 0?#60# ># 5(F" 6? (O" 67(D" > (@" 2
4:- ;# ># 66# 64# 6># 5(F" ?2 (O" 62(D" ?4 (@" ?6
@brkdpbemt (46 pe 47" < Bm kfdh eg phk v{ktpbemt# phkm{aokr frk gbcck` bm f dkrpfbm er`kr- Bm ~hbdh emkzcfdk ocfmi# afrik` o (5" Gbm` e{p ~hbdh emkeg phk fmt~kr ~bcc rkzcfdk phk v{ktpbem afri-
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Zrk!ge{m`fpbem Dfrkkr Dfrk Zrenrfaakt (ZDDZ" @bwbtbem 6;
4>- Bg _FTDFC bt de`k` ft CFDTF_ phkm he~ ~bccTEC@K_ ok de`k` !(F" _K@TCE (O" _K@CET(D" _K@CTE (@" K@CTE_
48- Bg AKM bt de`k` ft C@A# phkm he~ ~bcc NEP okde`k` !(F" GTM (O" GMT(D" TMG (@" PF_
42- Bg .F. bt de`k` ft 6# .O. ft ? fm` te em phkm he~~bcc DCBAFX ok de`k` !(F" ?6406??0 (O" 46?;646?(D" 6?404?60 (@" 46?2646?0
0:- Bg F# O# D frk de`k` ft ?# 0# 7 rktzkdpbwkc - hfp`ekt /6? 6: 6: 8. tpfm`t ger !(F" @EE_ (O" @KKZ(D" GKK@ (@" @KFG
06- Bg bm dkrpfbm cfmn{fnk CFO bt rkf` _KG# phkm bmtfak cfmn{fnk N[@ rkf` ~bcc ok !(F" IFP (O" HFP(D" IRH (@" PFP
0?- Frrfmnk phktk ~er` ft phk frk bm Kmncbth bd!pbemfr fm` pkcc ~hbdh gfcct cftp /~fpdh# ~fpdh!g{c# ~fpdhbmn# ~fpp# ~fpkr/ !(F" fpkr (O" fpdhbmn(D" fpdhg{c (@" ~fpp
04- Frrfmnk phktk ~er` ft phk frk bm Kmncbth`bdpbemfr fm` pkcc ~hbdh gfcc gbrtp /Oeetp# Oeem#Oeep #Oeer# Oeep/ !(F" Oeetp (O" Oeem(D" Oeep (@" Oeer
00- Fwbmfth bt 4 ~kkit e{mnkr pe _fikth- Bg_fikth ~ft oerm em ?; Lfm{fr 62>8# em ~hbdh`fpk ~ft Fwbmfth oermk` !(F" 0 Lfm{fr # 62>8 (O" 6; Gkor{fr # 62>8(D" 60 Gkor{fr #62>8 (@" ; Lfm{fr # 62>8
0;- _fwb.t fnk bt l{tp `e{ock pe phk fnk eg Aehfm-Th fa bt 4 kfrt e{mnkr pe _fwb- Bg Aehfm.tfnk bt ; kfrt# phkm ~hfp phk fnk eg Th fa ~bccok !(F" ; kfrt (O" > kfrt(D" 8 kfrt (@" 7 kfrt
07- ^hbdh eg phk gecce~bmn ~er dfm mep ok gerak greaphk ckppkrt eg phk ~er /DHE_KEN_FZHR/ 5(F" NKEN_FZHR (O" N_FZH(D" ZHEPEN_FZH (@" FN_KK
0>- ^hbdh eg phk gecce~bmn ~er` dfm mep ok gerak`grea phk ckppkrt eg phk ~er` /_F@BEFDPBWBPR/(F" @EE_ (O" FDPBWK(D" DFP (@" _FR
4>- 9gm_FTDFC ` ~ WCFDTF_ nitrit TEC@K_ `i`~W @9i nitxi '(F" _K@TCE (O" _K@CET(D" _K@CTE (@" K@CTE_
48- 9gmAKM `i `~WC@A#nitQ ritNEP `i `~W @9initxi '(F" GTM (O" GMT(D" TMG (@" PF_
42- 9gm.F. `i `~W6# .O. `i ~W? wiTl och b|`il ritDCBAFX`i ~W @9i nitxi '(F" ?6406??0 (O" 46?;646?(D" 6?404?60 (@" 46?2646?0
0:- 9gmF# O# D`it `~W Hii/ii kt f k.i+?# 0# 7g Yii x9init rit /6? 6: 6: 8. `Tct g Yii pi9txi '(F" @EE_ (O" @KKZ(D" GKK@ (@" @KFG
06- g`ch Hii/ii kt f CFO `it _KG b3)i pi# rit ach kt f N[@`it b3)i pi#xi '(F" IFP (O" HFP(D" IRH (@" PFP
0?- gm# .iDmitf it wfx|tph .iDm`it.i ktf wfx|tph e-i\ki i tk ktf E9egCGir g`9i pi# rit w[r ktf `iT{ ci .iDmwi#xi/ fpdh# ~fpdhg{cc# ~fpdhbmn# ~fpp#~fpkr/(F" fpkr (O" fpdhbmn(D" fpdhg{c (@" ~fpp
04- gm# .iDmitf it wfx|tph .iDm`it.i ktfwfx| tph e-i\ki i tk ktf E9egCGir g`9i pi# rit cdct bn t `iT{ ci.iDm wi#xi//Oeetp# Oeem# Oeep #Oeer# Oeep/ !(F" Oeetp (O" Oeem(D" Oeep (@" Oeer
00- wge{i.iQ li`t.i ct rh{ cBrin MitWi nTF 9gm li`t.i ip[k ?; p{elhQ62>8 `it nvwi nTritwge{i.i i p[k `d nvwi Gii '(F" 0 p{elhQ62>8 (O" 6; VlelhQ62>8(D" 60 VlelhQ62>8 (@" ; p{elh 62>8
0;- lge h wi9v kitn{ h wi9v ctmitxv{h nTF .9ik lge ct4 e/i\MitWi nTF 9gm kitn{ ; e/i\ i nTrit.9ik h wi9v@9i nitxh '(F" ; e/i\ (O" > e/i\(D" 8 e/i\ (@" 7e/i\
07- /DHE_KEN_FZHR/ `t wyilitf ctg{K{ ktf ct iT{ci .iDm {nhf d{ c`ri '(F" NKEN_FZHR (O" N_FZH(D" ZHEPEN_FZH (@" FN_KK
0>- /_F@BEFDPBWBPR/ t wyilit f ct g{K{ kt f ct iT{ ci.iDm {nhf d{ c`ri '
(F" @EE_ (O" FDPBWK(D" DFP (@" _FR
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Zrk!ge{m`fpbem Dfrkkr Dfrk Zrenrfaakt (ZDDZ" @bwbtbem 67
08- Bg akfmt # akfmt # ) akfmt fm` akfmt ) # phkm 7(D" 6>7 (@" 687
02- Bg .Z. akfmt # .V. akfmt # ._. akfmt ) fm`.T. akfmt # phkm ; T 2 1 5(F" 07 (O" ;;(D" 70 (@" 4;
;:- Bg .F. akfmt )# .O. akfm # .D. akfmt fm` [email protected] # phkm< 67 F 60 D 7 @ 4 O 7 1 5(F" 6:8 (O" 0?(D" 48 (@" ?;
;6- Ft .@khrf`{m. bt rkcfpk` pe [ppfrfmdhfc. tbabcfrc._fbz{r. bt rkcfpk` pe !(F" [ppfr Zrf`kth (O" Af`h f Zrf`kth(D" Hbafdhfc Zrf kth (@" Dhhfppbtnfrh
;?- Ft .tpkfc. bt rkcfpk` pe .Gfdper . bm phk tfak ~f.~hkfp. bt rkcfpk` pe !(F" Ti (O" Ne`e~m(D" Gbkc` (@" Afrikp
;4- Ft ._faf fmf. bt rkcfpk` pe .Hbm`{. bm phk tfa~f .Obock. bt rkcfpk` pe !(F" Dhrbtpbfm (O" A{tcba(D" Thbih (@" Hbm`{
;0- Ft .If`fr Ihfm. bt rkcfpk` pe .Dbmkaf. bm phktfa ~f .Lfhkkr Ihfm. bt rkcfpk` pe !(F" Drbdikp (O" Pkmmbt(D" Wecck ofcc (@" Geepofcc
;;- Ft .Gbth. bt rkcfpk` pe .Zem`. bm phk tfak ~f.Tp{`kmp. bt rkcfpk` pe !(F" He{tk (O" Tdheec(D" Gbkc` (@" Gfdper
;7- Zrf`kkz tckzp fp >; T 2 1 5(F" 07 (O" ;;(D" 70 (@" 4;
;:- 9gm.F. `i wGi\ )# .O. `i wGi\ # D. `i wGi\ wiTl .@.`i wGi\ nitQ rit '67 F 60 D 7 @ 4 O 7 1 5(F" 6:8 (O" 0?(D" 48 (@" ?;
;6- pTc cKd[%i ]mtnlim~{] i arlizf ct nTQ Oh` achb|`il ]li9bvl] i cKd[%i nitxi '(F" ailb|mt.i (O"k%9b|mt.i(D" gnkiz b|mt.i (@" M_rhix3)
;?- gpc b| il ]CWh ] i cKd[%i ilYii{i ctnTQ Oh` achb|`il ]xtn~] i cKd[%i nitxi '(F" wi`i.i (O"xitmik (D" Yitr (@"dipil
;4- pTci cKd[%i ]liki9-i] i gn[mv] ct nTQ eTci nh cKd[%]diogd ] i nT '(F" o\cio\ (O" kvgC k (D" gcYi (@"gn[mv
;0- pTci cKd[%i ]`imlYii{] `i gc{tki ct nT Oh` eTcicKd[%i ]pnhl Yii{] i nT '(F" g`tW (O"Wtg{c(D" di^hdi (@"VvWdi
;;- pTci cKd[%i ]kM h `i clitel] ct nT Oh` eTcicKd[%i ]gesiGih\] i nT '(F" 5il (O"gesi 9(D" Yitr (@"`ilYii{i
;7- b|mhb cif9 >
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Zrk!ge{m`fpbem Dfrkkr Dfrk Zrenrfaakt (ZDDZ" @bwbtbem 6>
;8- _fa aewk ; ia pe Kftp# phfm hk p{rm pe ckgp fm`aewk 0 ia- Fgpkr pfik rktp eg ? he{rt# hk aewk0 ia aerk phfm p{rm ckgp fm` aewk ; ia- Fgpkrphfp hk p{rm ckgp fm` aewk 8 ia- He~ gfr hk btgrea tpfrpbmn zebmp !(F" 6ia (O" : ia(D" ? ia (@" ; ia
;2- Th fa aewk 4 ia- bm phk ~ktp# phfm hk p{rmrbnhp fm` aewk 7 ia- Fgpkr hk p{rmt rbnhp fm`aewk 8 ia- Fnfbm hk p{rmt rbnhp fm` aewk? ia- Bm ~hbdh brkdpbem Th fa bt aewbmn !(F" Kftp (O" ktp(D" Merph (@" Te{ph
7:- Wbme` aewk ; ia- bm phk Kftp fm` phfm hk p{rmpe Te{ph fm` aewk > ia- He~ ger hk bt grea phktpfrpbmn zebmp-
(F" 0> ia (O" >0 ia(D" >0 ia (@" 7: ia
76- Bg _fwb tpfm` em hbt hkf` ~bph gfdbmn Te{ph~fr`t# bm ~hbdh `brkdpbem ~bcc _fwb rbnhp hfm`zebmp!(F" Kftp (O" ktp(D" Merph (@" Te{ph
7?- A{ikth aewk` >: ia - bm phk brkdpbem eg Merph#phkm hk p{rmt pe rbnhp fm` aewk` 4: ia- Fgpkrphbt hk p{rmt pe rbnhp fm` aewk ;: ia- Fnfbm hk
p{rm pe rbnhp fm` aewk 4: ia- He~ gfr hk bt greaphk tpfrpbmn zebmp !(F" 6: ia (O" 6; ia(D" ?: ia (@" 4: ia
74- Bm phk gecce~bmn tkrbkt he~ afm pbakt fm e``m{aokr bt gecce~k` o p~e demtkd{pbwk kwkmm{aokrt !0 ? 4 ? ; 0 ? ; 4 ? 7 0 4 ; > ? 8 7 > 2 0 ; 0 ? 2 7 6 4 ?(F" 0 (O" ?(D" ; (@" >
@brkdpbemt< (70 pe 77" Kfdh v{ktpbem bt oftk` em
gecce~bmn m{aokr tkrbkt- Dheetk derrkdpfcpkrmfpbwk !8 ; 4 8 ? 6 4 8 0 4 2 8 0 ; 0 8 ;
70- He~ afm t{dh 8. frk phkrk bm phk nbwkm tkrbkt~hbdh frk zrkdk`k` o fm e`` m{aokr fm`gecce~k` o fm kwkm m{aokr !(F" Ge{r (O" Phrkk(D" Emk (@" Gbwk
7;- He~ afm t{dh kwkm bnbpt frk phkrk bm phk nbwkmtkrbkt ~hbdh frk zrkdk`k` o fm kwkm m{aokrfm` gecce~k` o fm e`` m{aokr !
(F" Gbwk (O" Ge{r(D" Kbnhp (@" Phrkk
;8- lik ; g`kh b~ld `h witl z ri nT rGii dif# kvA)`l0 g`kh z ri nTF? 5i-Wt wilik `l{t `t b.zir}0g`kh wiTl z ri nT rGii dif# kvA)`l ; g`kh z ri nTFdim ktf en dif# kvA`l8 g`kh z ri nTF rit lik b|ilgKHi` CGii{ ctg`r{h m~l nT '(F" 6 g`kh (O" : g`kh(D" ? g`kh (@" ; g`kh
;2- .9ik 4 g`kh bg.zk ktf z ri nTQ rGii mign{t kvA)`l7 g`kh z ri nTF dim ktf en mign{t kvA)`l8 g`kh!z i bv{+ mign{t kvA)`l? g`kh wiTl z iF .9ik g`cgm.ii h witl z iF .9ik g`c gm.ii h witl z lninT '(F" b~ld (O" bg.zk (D" ail (@"mgyi-i
7:- ge{itm; g`kh b~ ld ktf z ri nT rGii mgyi-i gm.ii `hwitl kvA)`l> g`kh z ri nTF en b|ilgKHi` gd[mv ctg`r{h m~lh bl nTF(F" 0> (O" >0(D" >0 g`kh (@" 7: g`kh
76- 9gm lge mgyi-i h witl kv fn l`t gcl t cnilt aRWiYiA)i nTQ rit lge i mign{i niGi g`c gm.ii ktf nitxi '(F" b~ld (O" bg.zk (D" ail (@"mgyi-i
7?- kvt.i >: g`kh ail `h witl z iQ 9nif ct mign{tkvA)l 4: g`kh z iFen gVl mign{t kvA)l ;: g`khz iF dim ktf en gVl mign{t kvA)`l4: g`kh z iFkvt.i wd b|ilgKHi` gd[mv ct g`r{h m~lh bl nTF(F" 6: g`kh (O" 6; g`kh(D" ?: g`kh (@" 4: g`kh
74- mh xo\cfY9i LjYifi kt fg`r{h dil ge/ik cfY9i tbhMtmit kixr ck cfY9i#f nTf '0 ? 4 ? ; 0 ? ; 4 ? 7 0 4 ; > ? 8 7 > 2 0 ; 0 ? 2 7 6 4 ?(F" 0 (O" ?(D" ; (@" >
g{mt \.i + 70 ct 77" b|_9t` b| .{ g{K{ cfY9i Lj fYi i bl wi%iiglrnTF cnh ge`Rb zvg{# '8 ; 4 8 ? 6 ? 8 0 4 2 8 0 ; 0 8 ;
70- mh xo\cfY9i LfjYi i ktf #tct g`r{t8 nTt gp{`t wixtge/ik cfY9i rGii bhMt ck cfY9i nT '(F" zil (O" rh{(D" #` (@"bifz
7;- mh xo\ cfY9i LjYi i ktf #tch g`r{h ck cfY9i#f nTgp{`t wixt ck cfY9i e bhMt ge/ik cfY9i nT '(F" bifz (O"zil(D" wiO (@"rh{
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Zrk!ge{m`fpbem Dfrkkr Dfrk Zrenrfaakt (ZDDZ" @bwbtbem 68
77- He~ afm e`` `bnbpt frk phkrk bm phk nbwkmtkrbkt ~hbdh frk zrkdk`k` o fm e`` m{aokrfm` gecce~k` o fm kwkm m{aokr-(F" Phrkk (O" Ge{r(D" Tkwkm (@" Gbwk
7>- ^hfp bt phk pepfc m{aokr eg prbfmnck bm phkgecce~bmn gbn{rk !(F" 66(O" 6;(D" 67(@" 6?
@brkdpbemt< (78 pe >:" [m`krtpfm` phk nbwkm `bfnrfadfrkg{cc fm` fmt~krk` phk v{ktpbem oftk`{zem bp-
78- He~ afm prbfmnckt frk bm phk foewk gbn{rk !(F" > (O" ;(D" ? (@" 4
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>:- He~ afm tv{brkt frk bm phk foewk gbn{rk !(F" 0 (O" 4(D" ? (@" 6
@brkdpbemt< (>6 pe 8:" E{p eg ge{r gbn{rkt nbwkm okce~ bmkfdh v{ktpbem# phrkk gbn{rkt frk tbabcfr bm fm~f fm` emk bt e``- Gbm` e{p phk gbn{rk!
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77- mh xo\ cfY9i LjYi i ktf #tch g`r{h ge/ik cfY9i# nTfgp{`h wixt ge/ik cfY9i e bhMtck cfY9i nT '(F" rh{ (O"zil(D" cir (@"bifz
7>- g{K{ wi`jgr ktf g`r{t g1iHivp nTf '(F" 66(O" 6;(D" 67(@" 6?
g{mt\.i + 78 ct >:" g{K{ wi`jgr it %9i{b~e\` mtgYi# rGii b|.{cfY9i78 ct >: r` t b|.{itf t ail mhgp# '
78- ab9v\@r wi`jgr ktf g`r{t g1iHivp nT '(F" > (O" ;(D" ? (@" 4
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g{mt\.i + >6 ct 8:" bifz wi`jgr9i mh xo\nTF gp{ktf ct zilwi`jgr9i g`ch { g`ch b|`il cki{ nT #` wi`jgrgHi[{ nTF gHi[{ wigr MigW#
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Zrk!ge{m`fpbem Dfrkkr Dfrk Zrenrfaakt (ZDDZ" @bwbtbem 62
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Zrk!ge{m`fpbem Dfrkkr Dfrk Zrenrfaakt (ZDDZ" @bwbtbem ?:
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8/8/2019 Mat_Paper 07- UTT
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Zrk!ge{m`fpbem Dfrkkr Dfrk Zrenrfaakt (ZDDZ" @bwbtbem ?6
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Zrk!ge{m`fpbem Dfrkkr Dfrk Zrenrfaakt (ZDDZ" @bwbtbem ??
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@brkdpbemt (26 pe 6::" emk zreocka gbn{rk bm em cbgp tb`k#bm ~hbdh emk zfrp bt bmdeazckpk- _bnhp tb`kfmt~kr gbn{rkt frk nbwkm- Gbm` e{p emk fmt~krgbn{rk pe deazckpk phk zreocka gbn{rk ~bphe{pdhfmnbmn phk brkdpbem!
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g{mt\.i +(26 pe 6::" dif9h rlV ckC9i wigr mh xo\ nTQgpc`i #` Hiix wb~ -i\nTF mign{ta_rl wiTl wigr9imh xo\nTF a_rl wigr kt fct `iT{ ch wigr t Yii hCGii{ gd{i gm.ii bgler\{ g`# nv# wi#xhF
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Zrk!ge{m`fpbem Dfrkkr Dfrk Zrenrfaakt (ZDDZ" @bwbtbem ?4
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Zrk!ge{m`fpbem Dfrkkr Dfrk Zrenrfaakt (ZDDZ" @bwbtbem ?0
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Zrk!ge{m`fpbem Dfrkkr Dfrk Zrenrfaakt (ZDDZ" @bwbtbem ?;
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