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    1

    B Gio Dc v o To

    Trng i Hc Cng Ngh TP.HCM

    N MN HC

    TI: Nghin cu v l thuytv ng !ng t"#ng t"$ ch%i C& 'u(

    Ngnh CN) N)H* THN) TIN

    Mn hc T+, T-* NH.N T/0

    Gio vi!n h"ng #$n

    %inh vi!n &h'c hin (! Th)nh *+,ng 1-11/10/

    Ng+2n T3& 4n

    (! Nh5& Ton Tr6ng *+)ng 7inh

    ("8 123TH14

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    (i c,9 6n

    0

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    M5C 65CM5C 65C...................................................................................................................-

    CH78N) 1: )I9I THI*- ' TI...................................................................:

    11 )i;i thin t"? tu< nh@n tA#..................................................................:

    1B )i;i thin c& vu(.................................................................................:

    12 )i;i thi

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    CH78N) 1: )I9I THI*- ' TI

    11 )i;i thin t"? tu< nh@n tA#

    Tr? &+ nh@n &o h) A Ar&iici)En&FigFncF &r? &+ Ic JiK+ #i2n JLi J3& c 9&

    h &hng nh@n &o n. Th+5& ngO n Ic #ng K nQi Rn cc 9 &?nh cQ 9c ?ch

    Shng nh3& nh v ngnh Sho) hc nghi!n c+ vU cc V &h+R& v ng #ng cW) &r?

    &+ nh@n &o.T+ rXng &r? &hng 9inh nh@n &o cQ nghY) rng nh &r? &hng 9inh &rong Sho) hc

    vi2n &LngZ nQ 9& &rong nhOng ngnh &rng R+ cW) &in hc. Tr? &hng 9inh nh@n

    &o i!n [+)n Rn cch c \]Z ^' hc h_i v Sh, n`ng &h?ch ng &hng 9inh cW) 9

    9Qc. Cc v? # ng #ng J)o ga9 cc &c v iU+ ShiKnZ 58 SR hoch v 58 ch

    schedulingZ Sh, n`ng &r, i cc c@+ h_i vU chbn on JnhZ &r, i Shch hng vU

    cc ^,n 8hb9 cW) 9& cng &Z nh5n #ng chO viR& &)Z nh5n #ng &iRng nQi v Sh+n

    9&. BLi v5Z &r? &hng 9inh nh@n &o d &rL &hnh 9& 9n hcZ v"i 9c ?ch ch?nh

    c+ng c38 i gi,i cho cc v3n U cW) c+c ^ng &h'c &R. Ng n)Z cc h &hng

    nh@n &o Ic #ng &hng \+!n &rong Sinh &RZ #IcZ cc ngnh Se &h+5& v [+@n

    ^'Z cfng nh &rong cc 8hn 9U9 9 &?nh &hng #ng &rong gi) nh v &r ch6i in

    &].

    1B )i;i thin c& vu(

    C& vu(Z &r"c Si) cn Ic gi c& auc tZ 9& &r ch6i &r!n Jn v 9&

    9n &hK &h)o &r? &+ cho 0 ngi ch6i. Ng n)Z c v+) 9& &rong nhOng &r ch6i

    8hj JiRn nh3& &hR gi"i v"i hng &ri+ ngi &i nh ri!ngZ &rong c@+ c JZ &r'c &+RnZ

    &k \) v &rong cc gi,i 3+. Tr ch6i n #i2n r) &r!n 9& J,ng hnh v+ngZ gi Jn

    cZ ga9 = hng nh ^ &k 1 Rn = v = c& nh ^ &k ) Rn hZ &o r) /: hnh

    v+ng v"i cc 9+ 59 v nh& \Fn Sl nh)+Z v"i 9mi ngi ch6i ^l cQ 9+ nh& L

    hng c+i cng J!n &) 8h,i cW) 9nh Shi ngai vo Jn ch6i c. Mmi ngi ^l J& +

    vn c v"i 1/ [+@n c v ^l n I& i cc [+@n cW) 9nh ^)+ Shi i 8h6ng d i

    \ong 9& n"c hon &hnh n"c i. Cc [+@n c cW) 9mi J!n J)o ga9 = T& Z

    0 Md Z 0TIng Z 0 F Z 1 H5+ v 1 7+) . Ngi c9

    [+@n &rng +n ngi i + &i!np ngi Si) c9 [+@n Fn. Cc [+@n H5+ v FIc gi au@n nbngZ cn TIng v Md Ic gi au@n nh.

    :

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    12 )i;i thi

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    Cc 3+ &hW U+ JiR& 9i &hng &in vU &nh &rng &r5n 3+.

    Tr5n 3+ Shng Suo #i v &5nZ 8h,i #i2n r) hi hoZ hoc 9& J!n &hng v J!n

    Si) &h+).

    BB MGt JhKi ni

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    n`ng JiRn ji nh &hR no ^)+ 9& ^ n"cZ &) ^l nh gi && \3+ cW) cc &hR c

    nh5n Ic. TiR8 &hFoZ &) ^l chn n"c i ^l #$n &"i 9& &hR c && nh3& &rong Q ^ Q

    cQ c@n nhc Rn cch i cW) c, h)i J!n &hng chqng &) \F9 nh c, h)i ngi U+

    ) r) nhOng ') chn &i +. 7"i 9 &hR c n Ic nh gi &i h6n &hR c Si)

    nh ^o ^nh iK9 cW) &hR Q #o J Ing gi 8 &r, i.

    7ic Ing gi [+@n c cQ &hK hiK+ 6n gi,n rXngZ gn 9mi [+@n c 9& ^

    iK9. Thng nh ^)+ H5+ &r gi > iK9Z F &r gi ; iK9Z TIng v Md U+ &r

    gi - iK9 v T& &r gi 1 iK9. Do vic 93& 7+) &6ng 6ng v"i &h+) c n!n gi &r

    cW) nQ v hnZ &rong c &n nQ Sho,ng -Z; iK9. Trong 58 &rnh c v+)Z &hng

    ngi &) cho 7+) 9& gi &r r3& "n no Q chwng hn 0 iK9. T+ nhi!nZ gi &r

    &h'c ^' v &9 [+)n &rng cW) 9& [+@n c Shng &hK cht 6n gi,n nh v5. NQ cn8h &h+c vo &hR c. 7? # 9& [+@n F )ng nX9 L v &r? \3+ Shng cQ gi &r JXng

    9& con Md )ng cQ &hR ng &&. NR+ 9& ngi ch6i &h'c hin vic &h? [+@n cho

    8hu8 i 8h6ng J& [+@n cQ &r gi c)o cW) 9nh &h &hng &hng h ^l J_ [+) cc

    gi &r #)nh nh #nh cho [+@n Q K ji 3 cc + &hR vU chiRn Ic h) + &hR vU

    v &r? cW) cc [+@n )ng &3n cng.

    ~hi ch6i cZ chc chn Jn 8h,i \u& &r"c 9& ^ hO+ hn cc n"c iZ U &'

    &9 chiRn &h+5& cho ri!ng 9nh. Ngi Jnh &hng \u& 0: n"c iZ &rong Shi cc i

    Sin &"ng cQ &hK \u& &k =1 n"c i. 4 rng nR+ cng \u& ^@+Z n"c i cng chc

    chn v c6 hi chiRn &hng cng c)o.

    Nh v5Z #') vo chiRn Ic &9 SiR9 &) hiK+ r) rXng &h) v \u& hR& &on J

    [+ &rnh ch6iZ cc n"c i &k Shi J& + Rn Shi SR& &hqcZ &) cQ &hK \u& &rong 9& ^

    hO+ hn cc n"c. iU+ n ,9 J,o vU 9& &hi gi)nZ nhng cfng gQ8 8hn &`ng

    chc chn &rong cc n"c i cW) chqng &).

    CH78N) 2: TH-DT T0N

    Gi,i &h+5& Mini9)\

    *+ &rnh ch6i c [+ &rnh 9 Trng v Fn &h) 8hi!n nh)+ ) r) cc n"c i

    hI8 cho Rn Shi #$n Rn &rng &hi SR& &hqc c+c ch6i. *+ &rnh n JiK+ #i2n JLi

    ng i &k nq& gc &"i nq& &r!n c@ &r ch6i. Gi, ^] &i 9& tnh + no Q &r!n

    ng iZ nR+ + tnh Trng Fn &h cn chn 9& n"c i no Q Rn 9& &rongcc tnh con Fn Trng v cW) +. Ti tnh Fn Trng v ^l chn i &iR8 Rn 9&

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    tnh con Trng Fn cW) v. *+ &rnh n &iR8 &c cho Rn Shi & Rn 9& tnh

    cW) c@.

    ChiRn Ic &9 n"c i cW) Trng h) Fn +n &9 nhOng n"c i #$n &"i &rng

    &hi && nh3& cho 9nh v &ai nh3& cho i &hW. Gi, ^] Trng cn &9 n"c i &i tnh +Zn"c i &i + cho Trng n"c i #$n &"i tnh con v ^)o cho v && nh3& &rong ^

    cc tnh con cW) +. Rn I& Fn chn n"c i &k vZ Fn cfng chn n"c i && nh3&

    cho 9nh. K chn n"c i &i + cho Trng &i tnh +Z cn \c nh gi &r cc tnh

    cW) c@ &r ch6i gc +. Gi &r cW) cc tnh ng v"i gi &r cW) h9 SR& c+c. tnh

    cQ gi &r cng "n cng && cho TrngZ tnh cQ gi &r cng nh_ cng && cho Fn. K

    \c nh gi &r cc tnh cW) c@ &r ch6i gc +Z &) i &k 9c &h38 nh3& cc tnh !n

    gc +. Gi, ^] cn \c nh gi &r cW) tnh v 9 cc tnh con cW) nQ d \c nh. ~hi

    QZ nR+ v tnh Trng Fn Trng Fn C@ &r ch6i Do#gF9 v"i Fn i &r"c &h gi

    &r cW) nQ gi &r "n nh3& &rong cc tnh conZ nR+ v tnh Fn &h gi &r cW) nQ

    gi &r nh_ nh3& &rong cc tnh con. %)+ @ &hW &c chn n"c i cho Trng &i tnh

    + Mini9)\+Z vZ &rong Q v tnh con Ic chn cW) +

    ProcF#+rF Mini9)\+Z vp

    JFgin v) p or 9mi tnh con cW) + #o i v)+ x Min7) &hFn v)

    Min7)p

    v

    Fn#p

    +nc&ion Min7)+p

    h9 \c nh gi &r cho cc tnh Fn

    JFgin i + tnh SR& &hqc &hFn Min7)+ + F F Min7)+ 9inM)\7)v

    v tnh con cW) +

    Fn#p

    =

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    +nc&ion M)\7)+p h9 \c nh gi &r cho cc tnh Trng JFgin i + tnh SR&

    &hqc &hFn M)\7)+ + F^F M)\7)+ 9)\Min7)v v tnh con cW) +

    Fn#p

    Trong cc &hW &c v h9 &r!nZ + gi &r cW) h9 SR& c+c &i tnh SR& &hqc +.

    Th+5& &on Mini9)\ &h+5& &on &9 SiR9 &hFo chiU+ ^@+.

    7U V &h+R&Z chiRn Ic Mini9)\ cho 8hu8 &9 n"c i &i + cho Trng. T+ nhi!n

    &rong &h'c &RZ &) Shng cQ W &hi gi)n K &?nh &on n"c i &i + n. BLi v &h+5&

    &on &?nh &on &r!n &on J c@ &r ch6i \F9 \u& &3& c, cc tnh cW) c@ &hFo SiK+ vu&

    cn. Trong cc &r ch6i h) &h S?ch &h"c cW) c@ &r ch6i c'c "n. Chwng hnZ

    &rong c v+)Z cht &?nh Rn ^@+ : &h c@ &r ch6i d cQ Rn 110 tnh. NR+ c@ cQ c)o 9 v &i 9mi tnh cQ J n"c i &h 8hc &8 vU &hi gi)n cW) &h+5& &on

    Mini9)\ J9.

    Trong &h'c &RZ cc &r ch6i U+ cQ gi"i hn vU &hi gi)n. Do QZ K cQ &hK &9 nh)nh

    n"c i && Shng 8h,i &i + &h) v ^] #ng h9 SR& c+c v \u& &3& c, cc tnh cW)

    c@ &r ch6iZ &) ^] #ng h9 nh gi v cht \F9 \u& 9& J 8h5n cW) c@ &r ch6i.

    -. Gi,i &h+5& Mini9)\ v"i ^@+ hn chR

    ) H9 nh gi

    H9 nh gi Fv) cho 9mi tnh + nh gi |9c Ii &hR} cW) &rng &hi +. Gi

    &r cW) Fv)+ ^ #6ng cng "n &h &rng &hi + cng cQ Ii cho TrngZ gi &r cW)

    Fv)+ ^ #6ng cng nh_ &h &rng &hi + cng cQ Ii cho FnZ Fv)+x &h &rng

    &hi + Shng cQ Ii cho i &hW noZ Fv)+x&h + &rng &hi &hng c+c cho

    TrngZ Fv)+x&h + &rng &hi &hng c+c cho Fn. H9 nh gi Qng v)i &r

    r3& [+)n &rng &rong cc &r ch6iZ nR+ h9 nh gi && ^l nh h"ng ch?nh \c vic

    ') chn cc n"c i &&. 7ic &hiR& SR h9 nh gi 8h &h+c vo nhiU+ R+ & cc

    [+@n c cn i cW) h)i J!nZ ^' J &r? cc [+@n c nZs K ) r) h9 nh gi

    ch?nh \c i h_i nhiU+ &hi gi)n &?nh &onZ &+ nhi!nZ &rong &h'c &R ngi ch6i J gi"i

    hn &hi gi)n ) r) n"c i. 7 v5Z vic ) r) h9 nh gi 8h &h+c vo Sinh

    nghi9 cW) ngi ch6i.

    >

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    H9 nh gi cho c v+). Mmi oi [+@n Ic gn 9& gi &r ^ 8h hI8 v"i |^c

    9nh} cW) nQ. Chwng hnZ [+@n && Trng Fn Ic gn gi &r 1 1Z 9d hoc

    &Ing Trng Fn Ic gn gi &r - -Z \F Trng Fn Ic gn gi &r ; ; v

    h5+ Trng Fn Ic gn gi &r > >. H9 nh gi cW) 9& &rng &hi Ic &?nh

    JXng cch 3 &jng gi &r cW) &3& c, cc [+@n c &rong &rng &hi Q. H9 nh gi n

    Ic gi h9 &+Rn &?nh cQ &rng ^Z v cQ &hK JiK+ #i2n #"i #ng ^11 ^00

    s ^nn Trong QZ i gi &r cW) [+@n c oi iZ ^i ^ [+@n oi Q. @ cch

    nh gi 6n gi,nZ v nQ Shng &?nh Rn ^' J &r? cW) cc [+@n cZ cc 9i &6ng [+)n

    giO) chqng. 7? # 0 H9 nh gi &rng &hi &rong &r ch6i Do#gF9. Mmi [+@n Trng

    Ic gn gi &r &6ng ng v"i cc v &r? &r!n Jn c nh &rong hnh J!n &ri. Mmi [+@n

    Fn Ic gn gi &r L cc v &r? &6ng ng nh+ hnh J!n 8h,i - -; : 1 0; : 1;0 0; ; 0 -; ; 1 1; - Ngoi r)Z nR+ [+@n Trng c,n &r'c &iR8 9& [+@n

    FnZ nQ Ic &h!9 : iK9Z nR+ c,n gin &iR8 Ic &h!9 - iK9 \F9 hnh #"i.

    T6ng &'Z nR+ [+@n Fn c,n &r'c &iR8 [+@n Trng nQ Ic &h!9 : iK9Z c,n gin

    &iR8 Ic &h!9 - iK9. 8 #ng cch &?nh h9 nh gi n!+ &r!nZ &) &?nh Ic gi

    &r cW) cc &rng &hi L cc hnh #"i nh ^)+ Trng c,n gin &iR8 Fn Ic &h!9 -

    iK9 Trng c,n &r'c &iR8 Fn Ic &h!9 : iK9 J Th+5& &on K hn chR Shng

    gi)n &9 SiR9Z Shi \c nh n"c i cho Trng &i +Z &) cht \F9 \u& c@ gc + &i

    c)o h no Q. 8 #ng &hW &c Mini9)\ cho c@ &r ch6i gc +Z c)o h v ^] #ng

    h9 nh gi K \c nh gi &r cho cc cW) c@. ProcF#+rF Mini9)\+Z vZ hp JFgin

    v) p or 9mi tnh con cW) + #o i v)+ x Min7)Z h1 &hFn v)

    Min7)Z h1p v Fn#p +nc&ion

    Min7)+Z hp h9 \c nh gi &r cho cc tnh Fn JFgin i + tnh SR& &hqc or h

    x &hFn Min7)+Z h Fv)+ F^F Min7)+Z h 9inM)\7)vZ h1 v tnhcon cW) + Fn#p +nc&ion M)\7)+Z hp

    h9 \c nh gi &r cho cc tnh Trng JFgin i + tnh SR& &hqc or h x &hFn

    M)\7)+Z h Fv)+ F^F M)\7)+Z h 9)\Min7)vZ h1 v tnh con cW)

    + Fn#p

    21 ThuSt t#Kn MiniM(

    Gi, ^] chqng &) cQ 9& J 8h@n &?ch &hR c cQ &hK 8 #ng &@& c, cc +5&Z cc

    8h6ng 8h8 nh c Shc nh)+ vo &kng &hR c v ch+Kn ji chqng &hnh 9& con

    1

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    ^ i #in cho iK9 &hR c. M& ShcZ &) gi, ^] con ^ Q #6ng Shi 8 #ng cho

    &hR c cW) 9& 3+ &hW Ic gi ngi ch6i c'c i { 9)\i9iFrZ v @9 Shi 8

    #ng cho 3+ &hW J!n Si) Ic gi ngi ch6i c'c &iK+ { 9ini9iFr. *q) &rnh

    &?nh &on iK9 cho &hR c Ic gi [+ &rnh Ing gi &Ynh ^&)&ic Fv)+)&ion. H9

    &h'c hin vic &?nh &on Ic gi 9& J Ing gi &Ynh v gi &r nh5n Ic gi

    iK9 Ing gi &Ynh.

    Trong &r ch6i c v+) vic ji cc [+@n c cW) 0 J!n v"i nh)+ r3& [+)n &rng v

    v5 &) cn Ing gi cc [+@n c K &h+5n &in cho vic &?nh &on &rong &h+5& &on. T+

    v5Z gi &r &hc ^' v &9 [+)n &rng cW) cc [+@n c Shng cht Ing gi cW) [+@n

    c 9 cn 8h &h+c r3& "n &k &hR c. ~hi [+@n c cQ gi &r "n v? # nh H5+ nhng

    v$n ^l hi ^inh cho 8hu8 i 8h6ng J& [+@n cQ gi &r c)o cW) 9nh K &h'c hin

    nhOng n"c c cQ &9 ,nh hLng Rn &hng Ji cW) vn c.

    Hnh 0.0.1 G`n gi &r Ing cho cc [+@n c.

    Trong [+ &rnh ch6iZ c, h)i 3+ &hW U+ c gng i nh &hR no Q K & iK9

    &+& i "n nh3&. Ngi ch6i c'c i ^l &9 nhOng n"c i #$n Rn iK9 cW) 9nh

    c)o nh3& cQ &hK h) ch?nh b iK9 cW) ngi ch6i c'c &iK+ J"& @9 h6n. Tri iZ

    ngi ch6i c'c &iK+ c i K & &"i v &r? 9 iK9 cW) 9nh nh_ nh3& cQ &hK.

    Tk Q &) hnh &hnh & &Lng &h+5& &on Min9)\ nh ^)+ J& + L 9& nq& 9&

    &hR cZ &) &h'c hin &3& c, cc n"c cQ &hK iZ &h`9 &on J cc nq& con cW) nQ &rong

    c@ &r ch6i. %)+ Shi d &h`9 &on J cc nq&Z SiK9 &r) \F9 hin &i I& ch6i cW)

    3+ &hW no.

    NR+ )ng I& ch6i cW) 3+ &hW 9)\i9iFrZ &) \u& &on J cc nq& con cW) nQZ

    chn r) nq& con cQ gi &r "n nh3&.

    11

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    NR+ )ng I& ch6i cW) 3+ &hW 9ini9iFrZ &) \u& &on J cc nq& con cW) nQZ

    chn r) nq& con cQ gi &r nh_ nh3&.

    Ci & &h+5& &on cQ &hK JiK+ #i2n nh 9d gi, #"i @

    Hnh -.1.1 Md gi,i &h+5& &on Mini9)\.

    T) cQ &hK &h3 cch ci & cW) &h+5& &on Min9)\ Sh &6ng &' v"i cch ci& [+ [+) +iZ SR& hI8 v"i [+ hoch ng &r!n 9& on c@ &k Q chn r) cch

    i &i + nh3&.

    Ngoi r) NFg)9)\ 9& cch r3& 8hj JiRn cW) vic &h'c hin &h+5& &on

    9ini9)\. Th) v ^' #ng 0 ch6ng &rnh con ri!ng Ji& cho ngi choi Min v ngi

    ch6i M)\Z nQ i vo 8hW nh5n cW) 9i [+)n h &on hc 9)\)ZJx x 9in )ZJ.

    nh gi &h+5& &on Min9)\ NR+ h ^ nhnh &r+ng Jnh cW) c@ J v &)

    &h'c hin &9 SiR9 Rn ^@+ # &h ^ nq& 8h,i Ing gi L c@ nh &) d JiR&

    10

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    Jy#. @ ch?nh ^ o 8hc &8 cW) &h+5& &on. NR+ J x :Z # x : cc con ^ &hng

    g8 &rong &r ch6i c &h ^ nq& Ing gi 0;/ nq&. Cn v"i J x :Z # x ; &h ^

    nq& Ing gi ^l &`ng !n : n x 10: nq&.

    Che : &on J V &Lng cW) &h+5& &on n #') &r!n vic ch+Kn ji 9mi &hR

    c &hnh 9& con ^ K nh gi. 43& &iRc cc con ^ n &hng Shng && v Shng

    W K nh gi hR& 9i iU+. M& ShcZ &h+5& &on n cQ &hK r3& &n Su9 ch ch59

    #o vic ^inh cc n"c i v Ing gi r3& &n &hi gi)n &?nh &onZ #o v5 ^@+ cW) c@

    &r ch6i cfng J hn chR nhiU+. T) cn cQ &h!9 nhOng c,i &iRn K c,i &hin &nh hnh.

    2B ThuSt t#Kn UlVh(

    C,i &iRn A8h) { BF&) 9& c,i &iRn &k &h+5& &on Min9)\ nhX9 &t) J"& nhnh

    c@ cW) c@ &r ch6i &k Q 9 gi,9 ^ Ing nq& 8h,i ^inh v &h)o &c Ing giZ #oQ cQ &hK &`ng ^@+ &9 SiR9 &h+5& &on &rL n!n hi+ [+, h6n.T) #2 #ng nh5n

    &h3 Shi Rn 9& nq&Z &h+5& &on ^l \u& hR& &on J cc nq& con cW) c@ &r ch6i J3&

    ch38 nq& Q && h) \3+. Ch?nh iU+ n d 9 cho Min9)\ ch ch59 i r3& nhiU+

    n. Tk @Z &) hnh &hnh n!n 9& c,i &iRn 9"i CWi tin UlVh( f Yt(

    K 6n gi,nZ &) hd &h] \u& 9& v? # #"i @. Cc ^ i+ Ing gi d Ic

    cho nh hnh. C@ n cQ ^@+ JXng 0 v h ^ 8h@n nhnh JXng 0. (I& ch6i +

    &i!n ^l I& ch6i cW) ngi ch6i c'c &iK+.

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