teknik menjawab matematik upsr 2016

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    GM\BGMNKNH @JBE ? LMKARQ@HA ]MLK ]MD

    Cbhakbj Wbkhmk Dbhonwnc

    Dntbdntmk F`rdnt CnenruRY\S

    Rhtuk Durmg-durmg Wneuh6

    YYG Ybhndpnha

    3!6

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    Msm knhguhanh cbhakbj tbkhmkdbhonwnc s`njnh dntbdntmk

    cbrf`rdnt cnenru RY\S 39>6>. YBHABHNJNH

    3. \@NJNH KCNW GNJND K> GNH K3

    GNH K3

    7. SRDR\NH KBJBDNENH DRSMG GNJND KBSWN\ > GNH KBSWN\ 3 2. NYN ]NHA YBSJR \N]N JNKRKNH \BDN\N DBHONQNC KBSWN\ 3.

    6. F@SDNW JNDN V\ F@SDNW CNENSR

    1. NYNKNE \@NJNH KCNW GNH L@HW@E \@NJNH KCNW.

    . L@HW@E JNWMENH KBSWN\ > GNH KBSWN\ 3 GNH \KBDN

    ONQNYNH ! 3" \@NJNH GMRCNE\RNM GNSM \@NJNH GNJND CRKRWBK\ DNWBDNWMK WNERH 6 DBHAMKRW W@YMK # 3$>6%

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    YBHABHNJNH

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    • Dntbdntmk wnomc gnjnd RY\S.

    • Dbdpuhynm 3 kbrtns ( k> gnh k3)

    • Kbrtns >

      - Romnh cobktm! ( nhbkn pmjm"nh)

    - > ond

      - #$ snjnh

      - #$ dnrkn"

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    Kbrtns 3

      - uomnh sucobktm! ( pbjcn%nm cbhtuk

    rbsphg tbr"ng)

      - > ond

      - >& snjnh

      - '$ dnrkn"Ybdnrkn"nh dntbdntmk

    K> k3 * >$$ +

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    \@NJNH KCNW GNJND K> GNH K3

    • \,/ K9 < \,/ 97S26K6S S\ 6/116.

    • K> / K3 D7/1/R/16 \,/ K9.

    • 5RD< \,/ K9 6K D7/7/R\76Y

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    YBDNSKNENH KBSWN\ DNWBDNWMK K> GNH K3

    2,SD 9 > \,/ ( > DSK > \,/ ( > DSK D = 3 D / ? D

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    SRDR\NH KBJBDNENH KBSWN\ >SRDR\NH KBJBDNENH KBSWN\ >

    "Cbrnhaanpnh dntbdntmk sbhnha.Cbrnhaanpnh dntbdntmk sbhnha.

    "Ap! dbh"n#n$ sn%nh.Ap! dbh"n#n$ sn%nh.

    "&m'nk dbh$n(n sn%nh 'bhanh tb%mtm.&m'nk dbh$n(n sn%nh 'bhanh tb%mtm."&m'nk )n!nd kbdn!mrnh nsns sbs*nt*&m'nk )n!nd kbdn!mrnh nsns sbs*nt*

    tn"*k.tn"*k.

    "&m'nk )n!nd sn%nh +nha 'm$n(n.&m'nk )n!nd sn%nh +nha 'm$n(n.

    "Ap! dbh"n#n$ sn%nh.Ap! dbh"n#n$ sn%nh.

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    SRDR\NH KBJBDNENH KBSWN\ 3SRDR\NH KBJBDNENH KBSWN\ 3

    "Cbrnhaanpnh dntbdntmk sbhnha.Cbrnhaanpnh dntbdntmk sbhnha.

    "Ap! dbh"n#n$ sn%nh.Ap! dbh"n#n$ sn%nh.

    "&m'nk )n!nd khsbp sbs*nt* tn"*k.&m'nk )n!nd khsbp sbs*nt* tn"*k."&m'nk )n!nd kbdn!mrnh nsns sbs*nt*&m'nk )n!nd kbdn!mrnh nsns sbs*nt*

    tn"*k.tn"*k.

    "&*%msnh +nha tm'nk kbdns.&*%msnh +nha tm'nk kbdns.

    "&m'nk dbhaa*hnknh pbd$nrms *ht*k&m'nk dbhaa*hnknh pbd$nrms *ht*kdbd$*nt anrmsnh.dbd$*nt anrmsnh.

    "&m'nk dbd$mhn n+nt dntbdntmk.&m'nk dbd$mhn n+nt dntbdntmk.

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    " Dbh*%ms sn%nh ntn* nhakn +nha sn%n!.Dbh*%ms sn%nh ntn* nhakn +nha sn%n!.

    " Lbpnt p*t*s nsn $m%n sn%n! dbhamrn.Lbpnt p*t*s nsn $m%n sn%n! dbhamrn.

    " &m'nk t*%ms *hmt pn'n "n#npnh.&m'nk t*%ms *hmt pn'n "n#npnh.

    " &m'nk dbh*h"*kknh "n%nh dbhamrn +nha&m'nk dbh*h"*kknh "n%nh dbhamrn +nhasbdp*rhn.sbdp*rhn.

    " \n%n! dbhamrn 'nh sn%n! pm%m! pbrnsm.\n%n! dbhamrn 'nh sn%n! pm%m! pbrnsm.

    " K*rnha dbd$brm pbr!ntmnh kbpn'nK*rnha dbd$brm pbr!ntmnh kbpn'nsn%nh , dnrkn!.sn%nh , dnrkn!.

    " &m'nk )n!nd sn%nh.&m'nk )n!nd sn%nh." &m'nk dn!* sbdnk "n#npnh.&m'nk dn!* sbdnk "n#npnh.

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    #nrn dbhonwnc kbrtn$ 3$bdn$n RY\S

    !%Dbdcn&n gnh dbdnendm $`njnh gbhanhtbjmtm%

    3% 'nwnc $`njnh dbhamkut urutnh &`ht`e gnrm

    (m) kb (mm) gnh kb (mmm)%*%Fmkmr dbhgnjnd tbrengnp $`njnh +nha

    gm$`nj tbrutndnh+n $`njnh ,CW%

    .% Wuhoukknh pbhamrnnh/ uhmt gnh n+nt

    dntbdntmk $bkmrnh+n gmpbrjuknh%

    9% Wujm$nh h`dc`r db$tm objn$ gnh tmgnk kncur%

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    #nrn dbhonwnc kbrtn$ ! gnh 3$bdn$n RY\S

    9; 2)

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    F`rdnt jndn >$ F`rdntcnenru 3!6

    2rdnt jndn

    /yntnknh gun rntus rmcu tm%n rntus jmdn puju" gnjnd pbrkntnnh. : > dnrkn"4

    2rdnt cnru

      3$$ ?&$

    m) /yntnknh gnjnd pbrkntnnh. : > dnrkn"4

    mm) /yntnknh gm%mt ynh% tbrjbtnk pngn hmjnm tbdpnt rmcu. : > dnrkn" 4

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    \`njnh ,CW

     YK< 6R \,/ K9 8888888

     K< \,/ K9 6R \/1 \R\

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    \`njnh ,CW

    \,/ 0/1 D7/1R56 D6/ DRS6 /

    D7D7SRK/ Y7D6K6S/ S\ 6/116.

    6K \R\< 7Y6 Y7SR D7D6K6S \7;S D7/D

    7S

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    #`ht`e $`njnh ,CW

    ukmsknh sbcun" sb%mbdpnt tbpnt ynh% dbdpuhynm juns

    3# Cd L

    >3Cd

    3Cd

    ' Cd

    # Cd

    G Cd

    ? Cd

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    #`ht`e jntmenh gnh tbkhmkdbhonwnc $`njnh dntbdntmk

    `rdnt cnenru RY\S

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    ,

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    #nrn dbhonwnc kbrtn$ ! gnh 3$bdn$n RY\S

    9; 2)

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    !%

     htnrn ynh% cbrmkut= ynh% dnhnkn" dbdpuhynm hmjnm ynh% sndn

    gbh%nh ' B&$ $$$8

     .'B& 5utn

    9.'B.& 5utn

    ;.'.B& 5utn

    .$.'B& 5utn

    3%   4ñ3>

    7>7

     .

    9.

    ;.

    .

    3

    >3

    3

    >7

    3

    >6

    3

    >5

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    *%

    #&.>3 >& F ?.3 *

     .#3.$B

    9.&'.$3

    ;.&'.A3

    .'$.>3

    .%  htnrn ynh% cbrmkut= ynh% dnhnkn" dbdpuhynm hmjnm ynh% pnjmh%kbCmj8

     .3$+ gnrmpngn >?$$

    9.?$+ gnrmpngn >G$

    ;.'$+ gnrmpngn A$.G$+ gnrmpngn ?$

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    9%

    Snon" > dbhuhoukknh "nr%n cn%m gun obhms cun"-cun"nh

    tbdpntnh.

    Dnry dbdcbjm 3 cmom hbhns= # cmom gurmnh gnh sbcmom tbdcmknm

    gbh%nh "nr%n SD 3$$. 9brnpnkn" "nr%n sbcmom tbdcmknm mtu8

     .SD >#.'$

    9.SD >&.'$;.SD 3&.#$

    .SD ?$.#$

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    6%

    Snon" 3 dbhuhoukknh wnktu cbrdujn kbjns tndcn"nh Dhn gm

    sbkjn"hyn.

    Snon" 3

    Dhn dbh%"ngmrm kbjns dntbdntmk sbjndn #& dmhmt gnh 9n"nsn

    Dnjnysmn sbjndn &$ dmhmt= gbh%nh wnktu rb"nt sbjndn 3$ dmhmt

    gm nhtnrn kbgun-gun kbjns mtu. Yngn pukuj cbrnpnkn" kbjns

    tumsybh Dhn tndnt8

     .3.#& p.d

    9.?.>$ p.d

    ;.?.#& p.d

    .#.>& p.d

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    7%

    Snon" ? dbhuhoukknh msm pngu sntu pnkbt susu .

    Snon" ?

    Yunh \mtm tbjn" dbdcbjm ? pbkbt susu sb%nr ynh% sndn. mn

    dbh%%uhnknh 3$?& dj gnrmpngn susu sb%nr tbrsbcut uhtuk

    dbdcunt kbk. 9nkmhyn tbjn" gmtunh%knh sndn cnhynk kb gnjnd

    & cmom ctj. 9brnpnknh msm pngu = gnjnd dj = susu gm gnjnd sbtmnp

    ctj8

     .>A?

    9.3&?

    ;.??#

    .&?3

    > mtbr 

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    2%

    Snon" # dbhuhoukknh sbcmom kbk cbrcbhtuk kucmg

    Snon" #

    Kbk tbrsbcut gmpth% kbpngn 3& kbpmh% ynh% sndn cbsnr.

    9brnpnkn" msm pngu= gnjnd Cd E= sbpth% kbk8

     .3#

    9.?3;.?G

    .#'

    G Cd

    3$ Cd

     & Cd

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    %

    Snon" & dbhuhoukknh tmtmk Y gnh M ynh% gmjukms pngn sntn" ;nrtbs.

    Snon" &

    -

    >

    3

    ?

    #

    &'

    B

    y

    $> 3 ? # &

     

    '

     

    B

     

    G

     

    A

     

    O

     

    mtmk Y= M gnh S dbdcbhtuk sntu sb%m tm%n sndn smsm./yntnknh krgmhnt ynh% duh%kmh cn%m tmtmk S mtu.

      . ( &=>)

    9.( &=?)

    ;.( &=')

    .( '=&)

    M Y 

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    !% Snon" ' dbhuhoukknh 3 obhms cun"-cun"nh .

    Snon" '

    Ynk Sndjm dbhybgmnknh #G cmom cun" tbdcmknm gnh #$ cmom hbhns

    uhtuk gmounj gm %brnm cun"-cun"nhhyn. \bcnhynk #& cmom tbdcmknm

    gnh ?G cmom hbhns tbjn" gmounj. 9brnpnkn" hmscn" cun" tbdcmknm

    gnh cun" hbhns ynh% tmh%%nj8

     .3 ?9.? 3

    ;.# >

    .# 3

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    !!% Ymkt%rn! dbhuhoukknh oudjn" kutmpnh gbrdn ynh% tbjn" gmnhourknhjb" Ybrsntunh 9ujnh \ncmt Dbrn" gm sbcun" sbkjn" dbhbh%n".

    Cht"

    Cht"

    Cht"

    Cht"

    Dbwnkmjm > rnh%

    /yntnknh dmh cn%m kutmpnh gbrdn mtu .

     .SD >$.&$ 9. SD >>.?$ ;. SD >3.&$ . SD >?.&$

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    !3 /yntnknh ynh% dnhnkn" duh%kmh cbrjnku pngn pbrmstmwn gm cnwn"

     .  brgnpnt G "nrm gnjnd sbdmh%%u

    9.  9uruh% pbh%umh ngn gm pnhtnm Dnjnysmn

    ;.  \njom turuh gm hb%nrn Dnjnysmn.  1ncuh%nh gun sb%m tm%n dbhongm sntu sb%m bdpnt tbpnt

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      ,

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    !% Snone ! dbhuhoukknh gun gmamt gnh 9gmamt +nha hmjnm tbdpnth+n gmcbrmknh gnjndkuruhanh%

    G( Smcu) $ B( Sntus rmcu) $ '(sn) 3( Yuju") >( 5utn)

    m) 9bhtukknh sntu hdcr B gm%mt gbh%nh dbh%%uhnknh sbdun gm%mt gnh hmjnm

    tbdpnt ynh% gmcbrmknh gnjnd Snon" >. : > dnrkn"4

    mm) 9uhgnrknh hdcr gm onwnpnh (m) kbpngn puju" rmcu ynh% tbrgbknt

      : > dnrkn" 4

    > B$G $3'

    Snon" >

    > B$G $3' * > B>$ $$$

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    3% \bcnh+nk gnrmpngn $bcmjnhanh durmgdbh+brtnm

    n&nrn jnrmnh 3 d% gnrmpngn durmg mtuturut tbrjmcnt gnjnd n&nrn j`dpnt onue %

    m)

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    *%

    m) 3&k%

    BG.# O & #

     

    * AG

    $.>3&k% O G *> k%

    * >$$$ %

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    .%Dhn = Jurnmgn" gnh 9mjjy cbrkh%sm sbcmjnh%nh %ujm. Dhn dbhgnpnt

    3&+ gnrmpngn oudjn" %ujm mtu dnhnknjn Jurnmgn" dbhgnpnt #$+ gnh

    cnkmhyn ngnjn" kbpuhynnh 9mjjy. 9mjnh%nh %ujm Dhn pbrjb" mnjn" >3$

    cmom.

    m)

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    9%Dbm ;"mh% dbhgnpnt pmhondnh pbhgmgmknh cbroudjn" SD >G$ $$$

    gbh%nh !nbgn" >+ sbtn"uh.

    m)

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    6%

    S&'&( 6 )*+,+',--&+ )&& /*9&- 7,& /,&( /& 7&9 C&+7&9 7&+ )&& /&

    7 C&+7&9 ]. W*)( )&& /&5 -*7,&=7,& /& 7&9 C&+7&9 -* C&+7&9 ]

    &7&&( &)&.

    9nhgnr 9nhgnr 0

    9ns Y

    9ns M

    B.>& nd #.&$pd

    G.>$ nd

    Snon" '

    mm% O-& /& ? /*9&- &;& 2 )+ 7&9&7& )&& :&+5 7*&-&+ *&

    *9&+5-, 7 '&&+ 9&:& *&)& "$ )+ . Y&7& ,-, /*9&&-&( /& ? &-&+ /&

    7 /&+7&9 ] 4 C*9-&+ '&;&&+ &+7& 7&&) *) >3 '&). 8 < )&9-&( 0

    % E,+5 *)( *9'&&+&+ /& Y # 7&&) '&) 7&+ )+

      8 > )&9-&(0>' ond &$ dmhmt F B ond >& dmhmt

    * A ond ?& dmhmt

    G ond >$ dmhmt F & dmhmt

    * G ond $& dmhmt

    G ond $& dmhmt A ond ?& dmhmt #$ dmhmt

    * >G ond 3$ dmhmt

    * '.3$ pd

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    7%

    S&'&( 1 )*+,+',--&+ *5,,+5 -&+ :&+5 7/* *( ,&+ N)+&( /*9(&95& SD 32$. K&+

    , 7+5 -*&7& 2 /&(&5&+ :&+5 &)& &+'&+5. G& )*+55,+&-&+ < /&(&5&+ ,+,-

    )*)/,& /&', &+&-+:&.

    Snon" B

    % C*9&&-&( &+'&+5 -&+# 7&&) )# :&+5 75,+&-&+ ,+,- )*)/,& /&', &+&-+:& .

      8 3 )&9-&( 0

    % W,-&+ *I&(&+ -&+ :&+5 75,+&-&+ *( ,&+ N)+&( ,+,- )*)/,& /&',

    &+&-+:&.

    8 > )&9-&(0

    3$ d

    % C*9&&-&( (&95& -&+ :&+5 )&( +55&4 83 )&9-&(0

    2

    <

    d

     x

    >3

    2

    69

    392

    <

    4

    d SD 

    d

     SD 

    /29.>3

    39

    329

    4

    3$d->3d * Gd

    Gd O SD >3.&$

    *SD >$$

    Y \>$Cd

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    2%Y

    M S

    \

    >$Cd

    >'Cd

    >3Cd'Cd

    S&'&( )*+,+',--&+ 5&/,+5&+ 7,& *5 5& /*9,7, *5&-. Y&+'&+5 ?S

    &7&&( 7,& -& */( &+'&+5 7&9&7& \W.

    % H:&&-&+ &+'&+5 \W 7&&) I) 8 > )&9-&(0

    % E,+5-&+ *9)**9# 7&&) I) # *,9,( 9&'&( *9*/, 8 3 )&9-&(0

    % J,--&+ */,&( *55& /*9,7, *5&- 7*+5&+ *9)**9+:& &7&&( 3" I).

    8 3 )&9-&(0

    >'Cd 3 * G Cd

    >3Cd >$Cd G Cd ' Cd >'Cd* &3Cd

    5nwnpnh tbrcukn gbh%nh pbrmdbtbr 3# Cd

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    A S&'&( )*+,+',--&+ - Q :&+5 7,- &7& &&( L&9*

    y

    O$ > 3 ? # & ' B G A

    >3

    ?

    #

    &

    B

    '

    w

    Snon" A

    m) /yntnknh krgmhnt tmtmk I. : > dnrkn"4

    mm) mcbrmknh sntu tmtmk M dbdpuhynm krgmhnt (3 = ? ). nhgnknh tmtmk M.

    : > dnrkn"4

    ( & = # )

    M

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    / S&'&( >$ )*+,+',--&+ 7,& '*+ &-9) 7&&) */,&( -&- .

    cbrpbrmsn

    rbhcbrpbrmsnCkjnt

      3& cntnh%

    S&'&( >$

    G/*9-&+ /&(&;& 3" 7&9&7& &-9) , /*9*9& 9*+ 7&+ **/(+:& /*9*9&I-&.

    m) C*9&&-&( /&+5&+ &-9) /*9*9& 9*+ 4 83 )&9-&(0

    mm) H:&&-&+ +/&( /&+5&+ &-9) /*9*9& 9*+ -*&7& /&+5&+ &-9)/*9*9& I-&4 8 3 )&9-&(0

    6

    >99

    699

    32>99

    37

    4

    4

     x

     &-9) I-& 32 = 6 >@9*+ I-&

    6 >

    ;nrtn pnjnh% dbhuhoukknh ounjnh ? obhms hnsm jbdnk gbh%nh jnuk

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    >>;nrtn pnjnh% dbhuhoukknh ounjnh ? obhms hnsm jbdnk gbh%nh jnuk

    ynh% cbrcbHn gm Sbstrnh \brm \nynh% gnjnd sbdmh%%u. Sbstrnh mhm

    cbrpbrnsm sbtmnp "nrm sbjnmh "nrm "ng.

    m) /yntnknh hnsm jbdnk ynh% dnhnkn" ngnjn" 3 knjm jbcm" cnhynk

    gnrmpngn hnsm jbdnk gbh%nh gn%mh% jbdcu8 : > dnrkn"4

    mm) & * A$

    A$ ' * >&

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    !3m) /yntnknh sntu pbrmstmwn ynh% nknh cbrjnku gm knwnsnh pnhtnm gm hb%nrn

    Dnjnysmn.

    n) brgnpnt rnh% cbrbhnh% gm pnhtnm

    c) brgnpnt rnh% dbh%utmp smput @ kujmt smput .

    C) brgnpnt rnh% cbrdnmh cjn gm pnhtnm

    mm) Yngnhknh pbrmstmwn gbh%nh kbcjb"ongmnhhyn.

    \untu enrm hnhtmku&mha cbrtnhguk

    \btneuh dbdpuh+nm*66 enrm

    $ntu enrm dbdpuh+nm39 ond

    Duhakmh

    cbrjnku

     Wmgnk duhakmhcbrjnku

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