XII: Computer Project

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    V`h h vc bjrvhnx v`ev

    Gjha Mev`jy! _caa Gc< SSSSS !

    `e zbbj nzaax bcmtajvjf `h Trcljbv

    zgfjr mx izhfegbj egf `e nzanhaajf

    v`j rjuzhrjmjgv ncr v`j zomh hcg cn v`h trcljbv'

    M ' Ijjvz Mzglea!

    SSSSSSSSSSSSSSSSS

    BJ_VHNHBEVJ

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    BCGVJGVR

    R G c < G e m j < Te i j G c NEBJR CN V@J BZOJ 2 [ 5? ]

    6 NACY B@E_V FHEI_EM 6 [ 5-6 ]

    : ZRJ_ FJNHGJF NZGBVHCGR : [ 5-5 ]

    > T_CI_EM BCFJ > [ 5-59 ]

    9 REMTAJ HGTZV . CZVTZV 9 [ 5-22 ]

    0 OHOAHCI_ET@X 0 [ 5-5 ]

    8 RBCTJ NC_ NZVZ_J JPTEGRHCG 8 [ 5-5 ]

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    5< [5]

    EBKGCYAJFIJMJGV

    H em hgfjovjf vc mx bcmtzvjr vjeb`jr!

    M Ijjvz Mzglea

    ncr `jr izhfegbj egf y`caj `jervjf zttcrvhg v`j mekhgi cn v`h trcljbv'

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    ? NEBJR CN V@J BZOJ'

    HGV_CFZBVHCG

    V`h cnvyerj h mefj vc bc~jr v`j trcbj j e cbhevjf yhv` eg Egvhuzj Rvcrj'Hv ettahbevhcg jpvjgf vc bz vcmjr ! zttahjr ! be `hjr ! megeijr

    egf cv`jr venn mjmojr eahkj'

    Oj hfj eaacyhgi z vc ~hjy egf jerb` v`j hvjm cg eaj! hv mehg trhcrhvx hmehgvehghgi e rjbcrf cn v`j vreg ebvhcg cn mcgjx egf hvjm '

    Yhv` e ozx! eg hvjm h ac v egf hv trhbj h effjf vc v`j vcrj oeaegbj'Rhmhaerax! Hn v`j megeijr ye vc ebbjtv e Rzttahjr cnnjr!

    v`ev hvjm e kjf trhbj yczaf oj zovrebvjf nrcm v`j vcrj oeaegbjegf oj effjf vc v`j ah v cn hvjm cg eaj'

    V`h eaacy v`j Rvcrj vc `e~j e bcg vegvax ztfevjf rjnjrjgbj vc b`jbk v`j trcirj cn v`j vcrj'

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    ?< [?]

    HGV_CFZBVHCG

    Vc mekj hv hmtajmjgveoaj hg v`j rjea ycraf! H `e~j jg zrjf v`ev NEBJR CN V@J BZOJ

    V`h h cgj cn v`j 2 z jr tjbhnhb ctvhcg '

    Hn v`h h b`c jg! v`j z jr yhaa oj eoaj vc b`cc j egf ozx v`j hvjmcn `h b`chbj'

    BZOJ B ER@HJ_

    V`h h e mcgjx criegh|jrncr v`j vcrj' Y`jg eghvjm h caf cr oczi`v ox v`j vcrj! v`j oeaegbjhgbrje j egf fjbrje jebbcrfhgiax'

    V`h ctvhcg h ncr v`c j y`c `e~j cmjv`hgivc jaa vc v`j vcrj'

    Y`jg v`j megeijr ebbjtv

    B`=5 B`=? B`=2 B`=6 B`=: B`=> JAB`=4

    R@CY

    J __C_MJRREI

    4

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    5 ~chf ~hjy (

    R@CYR V@J AHRV CN HVJMR

    ~chf Rt ebj(T_C^HFJR V EOZAE_ NC_MEV

    NC_ V@J AHRV

    ~chf RC_VS AHRV(RC_VR V@J AHRV EBBC_FHGI

    VC ERBJGFHGI HVJMGC

    ?~chf ~hjy @hr(

    R@CYR V@J AHRV CN HVJMR YHV@@HRVC_X CN JEB@

    Beaa Beaa

    Beaa Beaa

    B`=5 B`=? B`=2 B`=6

    4

    4

    4

    ERKR NC_

    ZTTJ_ AHMHV .ACYJ_ AHMHV

    V@JG FHRTAEXRV@J RJE_B@

    _JRZAVR

    ERKR NC_ V@J YC_F VCRJE_B@ NC_

    V@JG FHRTAEXRV@J RJE_B@

    _JRZAVR

    ERKR NC_ ZTTJ_ AHMHV .ACYJ_ AHMHV

    V@JG FHRTAEXRV@J RJE_B@

    _JRZAVR

    ERKR NC_ V@J YC_F VCRJE_B@ NC_

    V@JG FHRTAEXRV@J RJE_B@

    _JRZAVR

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    R@CY< ERKR NC_ HVJM GC< VC OZXH EM E RZTTAHJ_ 5:

    H EM E BZRVCMJ_ 56

    V@J RJE_B@

    52

    V@J @HRVC_X

    5?V@J AHRV

    5^CHF ^ H J Y ( - F HRTAEXR V@J HVJMR HG VEOZAE_ NC_MEV

    ^CHF ^ H J Y @ H R( - R@CYR V@J @HRVC_X CN V@J HVJM

    ^CHF RJE_B@ ( - NHGFR EG HVJM OX RJE_B@HGI NC_ KJXYC_FR HG GEMJ ! EGF _EGIJ HG EIJ EGF BCRV

    ^CHF O Z X ( - E AACYR ZRJ_ VC OZX HVJMR CG V@J AHRV

    ^CHF T Y ( B@EGIJR TERRYC_F VC JGVJ_ V@HR ^CHF BBER@ ( BZOJ B ER@HJ_ EAACYHGI ZRJ_ VC

    FJTCRHV ! YHV@F_EY EGF ^HJY RVC_J R OEAEGBJ ^CHF JFHV( J FHVR HGNC CN JPHRVHGI HVJM HG AHRV ^CHF E FF ( E FFR EG HVJM VC AHRV (HGFH_JBVAX

    N_CM RZTTAHJ_ C_ FH_JBVAX N_CM MEGEIJ_

    ^CHF F J A ( F JAJVJR EG JPHRVHGI HVJM N_CM AHRV

    ^CHF RJ AA ( - E AACYR ZRJ_ VC RJAA HVJMR VC RVC_J

    ^CHF RTEBJ ( _ JRTCGRHOAJ NC_ T_CTJ_ RTEBHGI CNRV_HGIR EGF HGVJIJ_R (NZGBVHCG C^J_ACEFHGI

    H G V NH G F S H V( NHGFR V@J TCRHVHCG CN V@J HVJM HGV@J E__EX OX BCMTE_HGI HVJM GZMOJ_R EGF _JVZ_GR HV

    ^CHF _ JMC^J S H V( _ JMC^JR V@J HVJM N_CM V@JAHRV' OCV@ FJA( EGF OZX ( BEAAR V@HR NZGBVHCG

    ^CHF RC_VSAHRV( RC_VR V@J HVJMR HG V@J AHRV ^CHF EAAS HG( Y _HVJR EAA HGNC HGVC FEVENHAJ ^CHF EAAS CZV( _ JEFR EAA HGNC HGVC T_CI_EM

    ZRJ_ FJNHGJF NZGBVHCGR

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    >< [5]

    T_CI_EM BCFJ

    "hgbazfj1n vrjem'`7"hgbazfj1 vfhc'`7

    "hgbazfj1 vrhgi'`7"hgbazfj1bcghc'`7"hgbazfj1bvxtj'`7"hgbazfj1fc '`7

    # # RTEBHGI VCCA C^J_ACEFJF NZGBVHCGR

    # # N c r R v r h g i < [2]

    T_CI_EM BCFJ

    # # IACOEA MJM OJ_R

    hgv vcvea; ~chf bczgv( ; ~chf EAASHG( ; ~chf EAASCZV( ;

    # # V@J BAERR AHRV RVE_VR @ J_J < [9]

    T_CI_EM BCFJ

    ## Yrhvj v`j feve nrcm v`j errex coljbv hgvc v`j feve nhaj'

    ~chf EAASCZV({

    n vrjem oacy; oacy'ctjg( /BOSAHRV'FEV/! hc

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    >< [0]

    T_CI_EM BCFJ

    # # _jef v`j feve nrcm v`j feve nhaj egf Rvcrj v`j ~eazj hgvc v`j errex coljbv '

    ~chf EAASHG({

    n vrjem b`jy;b`jy'ctjg( /BOSREAJ'FEV/! hc

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    >< [8]

    T_CI_EM BCFJ

    ## _jvrhj~j v`j vcrj oeaegbj nrcm v`j Feve Nhaj'

    ~chf OEASHG({

    n vrjem b`jy;b`jy'ctjg( /BOSOEA'FEV/! hc

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    T_CI_EM BCFJ

    # # V@J BAERR MGI_ N ZGBVHCGR<

    ~chf Mgir

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    T_CI_EM BCFJ

    ~chf Mgir

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    >< [5?]

    T_CI_EM BCFJ

    # # V@ J BAERR AHRV NZGBVHCGR< ~chf AHRV

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    >< [52]

    T_CI_EM BCFJ

    ~chf AHRV

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    >< [56]

    T_CI_EM BCFJ

    # # J p b jt v h c g @ e g f a h g i

    hn(vcvea==4{Rtebj(??!// ;Rtebj(:?!/1111 GC HVJMR NCZGF% 7777/ ;bczv11jgfa11jgfa;}

    Rtebj(?9!/S/!)S) ; Rtebj(69!/[Jgvjr Vc Bcgvhgzj]/!)S) ;bczv11jgfa; ijvb`( ; bczv11jgfa;

    }

    ~chf AHRV

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    >< [5:]

    T_CI_EM BCFJ

    vjmtEij=bo[l]'Eij;

    bo[l]'Eij=bo[l+5]'Eij;bo[l+5]'Eij=vjmtEij;

    vjmtBc v=bo[l]'Bc v;bo[l]'Bc v=bo[l+5]'Bc v;bo[l+5]'Bc v=vjmtBc v;

    vrbtx(vjmt@h !bo[l]'@h ;vrbtx(bo[l]'@h !bo[l+5]'@h ;vrbtx(bo[l+5]'@h !vjmt@h ;

    } # # JGF CN BCMTE_HG I RV_HGI (HN RVEVJMJGV} # # JGF CN HGG J_ NC_ ACCT

    } # # JGF CN CZVJ_ NC_ ACCT }

    ~chf AHRV

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    >< [5>]

    T_CI_EM BCFJ

    bczv11/QgQg/;

    hgv bczgv=4; ## bczgv g c cn ajvvjr hg jeb` y crf hgv L=4; ## e m jmcrx acbevhcg ncr vjmtcrerx t c hvhcg ' hgv naei=4;

    # # C z v j r ac c t j e r b` j m c ~ j n rc m h v jm v c h v jm g c n A H RV ncr(h=4; h1vcvea; h++{

    ## Mekhgi Ae v b`erebvjr cn j~jrx Rvrhgi# Gem j eg Jgf cn Ycrf b`erebvjr # # h'j 1 tebj7hn( bo[h]'Gemj[ ( vrajg(bo[h]'Gemj -5 ] %=) ) bo[h]'Gemj[ ( vrajg(bo[h]'Gemj ]=) );

    # # H g g j r ac c t bc m t e r j y c r f o x y c r f c n e g hv j m G E M J e v e v h m j ncr(hgv l=4; l1 vrajg( bo[h]'Gemj ; l++{L=l-5;

    hn(bo[h]'Gemj[l]==) )bcgvhgzj;

    fc ## Nhgf vcvea ajgiv` cn v`j ycrf'{L++;

    bczgv++;} y`haj(bo[h]'Gemj[L+5] %= ) ) ;

    # # czvjrmc v hn hn(bczgv== vrajg(R{ ## hn v`j ajgiv` cn jerb`jf hvjm eg f y crf erj emj'

    hn( (bo[h]'Gemj[l]==Rz[4] qq (bo[h]'Gemj[l]==Ra[4] { ## hn v`j nhr v b`erebvjr cn ocv` jerb`jf hvjm eg f gem j h em j

    # # H g g j r m c v ac c t b c m t e r j b ` e r e b vj r o x b ` e r e b v jr n r c m # # v ` j v e r v hg i c n j e b` y c r f h g v ` j H v jm G e m j '

    ncr(hgv c=4 ; c1bczgv; c++{

    hn(bo[h]'Gemj[l+c]==Rz[c] qq bo[h]'Gemj[l+c]==Ra[c]{ ## hn v`j b`erebvjr cn v`j jerb`jf ycrf eg f y crf hg v`j Hvjm Gem j h emj

    hn(c==bczgv-5 # # hn v`h h v`j ae v b`erebvjr {naei=5;Rtebj(5?!bo[h]'hvmGc ;Rtebj(6?!bo[h]'Gemj ;Rtebj(9!bo[h]'Eij ;Rtebj(5?!bo[h]'Bc v ;bczv11/QgQg/;

    } ## jgf cn hggjrmc v hn

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    >< [59]

    T_CI_EM BCFJ

    } # # jgf cn hn vevjm jgv v`ev b`jbk nhr v b`erebvjr cn ocv` ycrf

    ja j{orjek; } # # jgf cn 2rf hgg jr hn-ja j

    } ## jgf cn hggjrmc v ncr acct } ## jgf cn hggjr hn acct

    } # # czvjrmc v hn

    # # m c~j v`j bczgvjr ( l cn v`j acct v`ev jerb`j y crf ox y crf vc v`j gjpv # # ycrf cn hvjm G emj' l+=(bczgv-5 ;bczgv=4;

    } ## hggjr ncr acct' } ## czvjr acct'

    # # J p b jt v h c g @ e g f a h g i

    hn(naei==4{Rtebj(??!// ;Rtebj(:?!/1111 GC RZB@ HVJM NCZGF% 7777/ ;bczv11jgfa11jgfa;}Rtebj(?9!/S/!)S) ; Rtebj(69!/[Jgvjr Vc Bcgvhgzj]/!)S) ;

    ijvb`( ; orjek;

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    >< [50]

    T_CI_EM BCFJ

    b e j 6 < # # V ` j R j e r b` h g v ` j @ h v cr x c n e g h v j m h v` j e m j # # e v ` j R j e r b ` h g v ` j G e m j c n v ` j h vj m

    bczv11/Qg Jgvjr e Ycrf vc Rjerb` ncr< /;ijv (R ;

    # # vc rjmc~ j v`j be j jg hvh~hvx cn e jerb`'ncr(h=4; h1 vrajg(R ; h++{

    Rz[h]=vczttjr(R[h] ;Ra[h]=vcacyjr(R[h] ;

    }

    bczv11/Qg/;Rtebj(24!/S/!)S) ; Rtebj(66!/RJE_B@ _JRZAVR/!)S) ; bczv11jgfa;Rtebj(5?!/Hvjm Gc q / ;Rtebj(6?!/Gemj cn Hvjm/ ;Rtebj(9!/q Eij/ ;Rtebj(5?!/q Bc v/ ;bczv11/q/;

    bczv11/QgQg/;

    bczgv=4; ##bczgv gc cn ajvvjr hg jeb` ycrf L=4; ##e mjmcrx acbevhcg ncr vjmtcrerx tc hvhcg '

    naei=4;ncr(h=4; h1vcvea; h++{

    hn( bo[h]'@h [ ( vrajg(bo[h]'@h -5 ] %=) ) bo[h]'@h [ ( vrajg(bo[h]'@h ]=) );

    ncr(hgv l=4; l1 vrajg( bo[h]'@h ; l++{

    L=l-5;

    hn(bo[h]'@h [l]==) )bcgvhgzj;

    ## Nhgf vcvea ajgiv` cn v`j ycrf'fc{L++;bczgv++;}

    y`haj(bo[h]'@h [L+5] %= ) ) ;

    # # czvjrmc v hn hn(bczgv== vrajg(R{ ## hn v`j ajgiv` cn jerb`jf hvjm e gf y crf h emj'

    hn( (bo[h]'@h [l]==Rz[4] qq (bo[h]'@h [l]==Ra[4]

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    T_CI_EM BCFJ

    {ncr(hgv c=4; c1bczgv; c++

    {hn(bo[h]'@h [l+c]==Rz[c] qq bo[h]'@h [l+c]==Ra[c]{

    hn(c==bczgv-5{naei=5;

    Rtebj(5?!bo[h]'hvmGc ;Rtebj(6?!bo[h]'Gemj ;Rtebj(9!bo[h]'Eij ;Rtebj(5?!bo[h]'Bc v ;

    bczv11/Qg/;Rtebj(5?!/ q / ;Rtebj(54! /@h vcrx< / ; bczv11/Qg/;Rtebj(5?!/ q / ;Rtebj(94! bo[h]'@h ; bczv11/''' /;

    bczv11/QgQgQg/;} ## jgf cn 6v` hggjr hn

    }ja j{ orjek; }

    } ## jgf cn hggjrm c v ncr acct } ## jgf cn hn acct } # # czvjrmc v hn

    l+=(bczgv-5 ;bczgv=4;

    } ## hggjr ncr acct'

    } ## czvjr acct'

    hn(naei==4{Rtebj(??!// ;Rtebj(:?!/1111 GC RZB@ HVJM NCZGF% 7777/ ;bczv11jgfa11jgfa;}Rtebj(?9!/S/!)S) ; Rtebj(69!/[Jgvjr Vc Bcgvhgzj]/!)S) ;ijvb`( ;

    orjek;

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    >< [?4]

    T_CI_EM BCFJ

    b e j ? < # # R j e r b ` h g E i j c n H v j m

    zg higjf acgi Z!A; ## zttjr ahm hv! acy jr ahmhv naei=4;

    bczv11/Qg Jgvjr v`j Zttjr Ahmhv egf Acyjr Ahmhv' (Ocv` Hgbazfjf hgRjerb`' Qg/;

    bczv11/Qg QvQvQv Acyjr Ahmhv< /; bhg77A;bczv11/ QvQvQv Zttjr Ahmhv< /; bhg77Z;

    bczv11/QgQg QvQvQv [ /11A11/ 1--7 /11Z11/ ]/;bczv11jgfa;

    bczv11/Qg/;Rtebj(24!/S/!)S) ; Rtebj(66!/RJE_B@ _JRZAVR/!)S) ; bczv11jgfa;Rtebj(5?!/Hvjm Gc q / ;Rtebj(6?!/Gemj cn Hvjm/ ;Rtebj(9!/q Eij/ ;Rtebj(5?!/q Bc v/ ;bczv11/q/;

    bczv11/QgQg/;

    ncr(h=4; h1vcvea; h++{

    hn( bo[h]'Eij 7=A .. bo[h]'Eij 1=Z {

    naei=5;Rtebj(5?!bo[h]'hvmGc ;Rtebj(6?!bo[h]'Gemj ;Rtebj(9!bo[h]'Eij ;Rtebj(5?!bo[h]'Bc v ;bczv11/QgQg/;

    }

    }

    # # JPBJTVHCG @EGFAHGI< [?5]

    T_CI_EM BCFJ

    b e j 2 < # # R j e r b ` h g Bc v ## Hv h v`j emj e v`j jerb` hg eij! # # jpbjtv ncr v`j nebv v`ev Bc v h eg zg higjf acgi fev evx tj! ## egf Eij h eg hgvjijr fevevxtj

    naei=4;

    bczv11/Qg Jgvjr v`j Zttjr Ahmhv egf Acyjr Ahmhv' (Ocv` Hgbazfjf hgRjerb`' Qg/;

    bczv11/Qg QvQvQv Acyjr Ahmhv< /; bhg77A;bczv11/ QvQvQv Zttjr Ahmhv< /; bhg77Z;

    bczv11/QgQg QvQvQv [ /11A11/ 1--7 /11Z11/ ]/;bczv11jgfa;

    bczv11/Qg/;Rtebj(24!/S/!)S) ; Rtebj(66!/RJE_B@ _JRZAVR/!)S) ; bczv11jgfa;Rtebj(5?!/Hvjm Gc q / ;Rtebj(6?!/Gemj cn Hvjm/ ;Rtebj(9!/q Eij/ ;Rtebj(5?!/q Bc v/ ;bczv11/q/;

    bczv11/QgQg/;

    ncr(h=4; h1vcvea; h++{

    hn( bo[h]'Bc v 7=A .. bo[h]'Bc v 1=Z {

    naei=5;Rtebj(5?!bo[h]'hvmGc ;Rtebj(6?!bo[h]'Gemj ;Rtebj(9!bo[h]'Eij ;Rtebj(5?!bo[h]'Bc v ;bczv11/QgQg/;

    }}

    hn(naei==4{Rtebj(??!// ;Rtebj(:?!/1111 GC RZB@ HVJM NCZGF% 7777/ ;bczv11jgfa11jgfa;}

    Rtebj(?9!/S/!)S) ; Rtebj(69!/[Jgvjr Vc Bcgvhgzj]/!)S) ;ijvb`( ; orjek;

    f j n e z a v < bczv11/Hg~eahf B`chbj' /11)Qg);}

    ## jgf cn y hvb` be j

    } ## Jgf cn Rjerb`(

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    >< [??]

    T_CI_EM BCFJ

    hgv AHRV

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    >< [?2]

    T_CI_EM BCFJ

    ~chf AHRV

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    >< [?6]

    T_CI_EM BCFJ

    ~chf AHRV

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    >< [?:]

    T_CI_EM BCFJ

    Rtebj(5 4!/q Bc v/ ;bczv11jgfa;

    zg higjf acgi vcveabc v=4;

    ncr(hgv h=4; h1=bczgv; h++{Rtebj(64!bo[tc [h]]'Gemj ;Rtebj(54!bo[tc [h]]'Bc v ;vcveabc v+=bo[tc [h]]'Bc v;bczv11jgfa;}

    Rtebj(?4!/S/!)S) ; Rtebj(24!/S/!)S) ; bczv11jgfa;Rtebj(64!/ VCVEA< / ; Rtebj(54!vcveabc v ;

    bczv11/QgQg V`egk xcz ncr `ctthgi ev V`h Egvhuzj Rvcrj' Qg/;

    ncr(h=4; h1=bczgv; h++{_jmc~jShv(bo[tc [h]]'hvmGc ;}

    oea+=vcveabc v; # # hgbrje hgi vcrj oeaegbj'}ja j{bczv11/Qg @ctj xcz nhgf cmjv`hgi cn hgvjrj v gjpv vhmj'/;

    }}

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    >< [?>]

    T_CI_EM BCFJ

    ~chf AHRV

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    >< [?9]

    T_CI_EM BCFJ

    } ## JGF CN JFHV( ~chf AHRV

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    >< [?0]

    T_CI_EM BCFJ

    bo[vcvea]'Eij= [h]'Eij;vrbtx( bo[vcvea]'@h ! [h]'@h ;

    vcvea++;}

    ja j hn(b`?==)f) qq b`?==)F){

    bczv11/ Hvjm h Fjbahgjf'Qg/;}hn( (h+5 == vcvea {bczv11/Qg Gc Mcrj Hvjm Ox Rzttahjr'Qg/;

    # # bajerhgi v`j BOSR EAJ'fev

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    REMTAJ HGTZV . CZVTZV

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    Xc z r B `c h b j ( 4 - > < 6

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    REMTAJ HGTZV . CZVTZV

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    S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S ME H G MJ GZS S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S 5 ' V @J A H RV q R` c y v ` j A h v c n h v j m c g Re a j '

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    Xc z r B `c h b j ( 4 - > < 5

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    " ? 2 4? ? Bc mt e c n T j v j r V e r V ` j V j r r h o a j 5 6 4 9 4 4 44 4 4

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    Xc z r B `c h b j ( 4 - > < >

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    S S S S S S S S S S S S SS S S S S S S S S S S S SS [ J gv j r V c Bc g v h g z j ] S S S S S S S S S S S S SS S S S S S S S S S S S S SS

    S S S S S S S S S S S S S S S S S S S S S S S S S S S S S H E M V @J ME GE IJ _S S S S S S S S S S S S S S S S S S S S S S S S S S S S S

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