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.''br..l
Jro)q(vl=[ :
i\ni,
.-. ü,. ,
(!rt
t \= f;ii:i). (:
)
)
\o,iï',i I
qc{(W) =O . ct(tY)e Bq t}*o'pr,t ,t-;
a116'e"$ u
[t-.rr*- III
.ccdqûùeq0a! dr*Ao.$êk,cdo*ea de (it).*t;[-d ,*k'1*,*& f,g.
k.orqrc.-
nhû. û'*p*-«l- eÀF,,.1 «t0e&^
QC.i$/l twü[»e- eol*q*m'
-l-
' tâ to["*y
1priàr. aO§t*oÀ
e."lilÀ*] e { a.t2. dr. ltortrÏ-
td*'ô.0
.G^
n*jCflûûhuh*1rrâ
,f
(q ,,,(i'). tB* s) r O
.tshhr Oaiyr
{,1t Gr,"- IOr (6 I'l l('i
(tdl:0
e
rqid. ôL potri t p* [!u..rqgc
ig Poo.. §=td(t,O),r6fuftoll rrùo.$c, SCtrrrrB'
$tu r.-
ntho,rçr" $*bt
puo oùde. trl..ff,Ï dr;tur.r^ S* Eq t lol f (
ta.
\p&.à.- .t gfo r [I&rt oir{c.t
,ir,il...l i, uû qr,. e.
to..{lc. ( cil(qf
...,Cjr(
q t}roj k
t(- 0rU .Arù(' J(tj,r..r€,ir)e rrr,
r Êjr
Cje(§l =0 el (€i,,..2r;rlf
cor...ro1.e u
u. tt?.eGr,'r, î.i.=t;r cr vi
e(prrf -.tj.,..ia,i, îj =o. ?oart= (j)'
flaote Bg *igo (co. (tir,...rtr,ls(o,..u ol)' Aüi Fgttol rLF
?uruiûc.. . ,
_0r,AQaa §. ldfx, 01, r € 6q
r{o) I qtu.*p.['. rÈut'(c dr. Ifu,r^n'"'
eî = f,ti ci (q,. à t,
cir(9,'
FtËir ci,(91
--o
."
(;: ) , a(r,
o 1= cc^d dte(*l toqpâol qtb
/ri01,*j Irif
oJP
t2
t
'mèüa
üorr,c-
* lÛr. tù|l. {lCr*' nât'&rqlr { 'cu} r
'Qo^.J,. .J
^"liOr "^e*u^,tl^. r € ( ü p *t $, lr.n.
Etcçe {.- 0re!'}k û'oqflE i
bho,o{,.- .t({$rl*t te 9gr tof cooçiFd.om t( ê}el. {
'dtû,01:Ca.d{t€ül,"Jlf ii*ol,ced lte[r,rJl lS.iaf ol .(î.
drt,olsr ù Ê e 9er tol
.eto.11l .-Rü^f,ûr$.. h,Sr!)r. toihI*{0ei'e'}û §'
**=(i), Pq\t3)r d(x,o)= I
tie fr,n.$ [ ri+oi et w1nth--tr1t9iJrï" vüt "Jf^o,r
tr, i.,
...,i\ . n$* q*
1d, =ri t. "'
=t.t :J ' I
r€ Eg d,0.. È., ii cçl =ô . âPq f .,, c,.(9t= o*r*c.'6(Ql=o
no^
co*{ra*
1 c dr(q), (r
, r Ç1,...2 Cu. (gr
Iet *. &üh üé
de-c,ûur.^n,
dc Ç
.lu;;ocl' "t(t . *(e" qsr-l- ," "ia.fof tC,ato,0ertC ) ,r-r-1 c&o*er
*§. A 6«lüiot lonri
pa*.S,e
cûo."a& 9l à cfr'g'füc-
.ltte^or,*{*f. dc r-t
crdo..a& q l*oF*.{eena*o".51 Y ü*
r(ü,Ëê at.-(urfl^ dt. (ches üde l. &dc"*"0.U t'&p.tto-.
.Arr,rï
it >r . r
§^\ .l ^ r.tÀaar^f d. S
.tr
ILorç-r.. kïqrr t'ilre;e r. ?oor el=d(Î,0i.üct olla(f,
d.<n P**-{urrü-L t d§§' (o. ÿ<tù a?îv'
ô{i. ofcF. f€S
Corciu.rion. \ rqhQlllu.t.lt'r{.to".t O Ü ' nrt"; r= nin ld(r,olrt
eQ{o{
?13
?
tttT
\E iiI
Un cote,
cotrc <,hevr-r dter rc §r r
@ ttqhorri.lsn,.,ha \r* (lr'tl(rr etun irrh-1ti'Jo"» ûoÀq.À d'Sim
4n L?-?>r2'-t>,t) t0-t-?àt) tt-9}1 t)P'
ch.re K6te* { ildo"ü , n;,r(u(l cüta* t'dd.q.L . û^1"}
de*. l§^lp.- do. !r : tf-t âlte.lîr ,.L "lû-d.
np,1 (ûl<) .Pu,ri $r rt &C.a.b
r,,.*u*0ra.
flp,1[lKl t'ïrâ*Aa I c&u"u & §t
,Nna Htnrr(1,(ltpcd.u^.qde. btiloldf§â o,.l Qu*otdil-lJ" &§ f
.er,.[ilùo*l u q! o.p.]di. \r^.
:0c
co.ûÀo.l de rr-hqr, & I $ S "- p t co.d B* = t*-p.
@ üouc!0.o"r**. rsæ* E gk
gJ .huc Sl {
d,trr,u)t tu(§t€ 6,ttüt1+rrl "l-*.o.hû qx.
t'" t or,cc f . td(r,0 ), rËFH-tOl I'
.loüh qn l'.
3 (q.ul(
Bü{tr
t,*,r .-f q=d
(ü(ul. |oau
lL= trto
Ue Ëq * r + 0 ( x=0 +
rr*u=0
=a q+rftÿ=g"=t ..=§
!I
.ftQ.ar EÊ6s-tOl "I t=dtt,§)= dtu+u, 0l=d(r,0ldt't
1eJ . ûd,iltof *tf
pdîh1c t . 3r
€B{ -t of
1=.d tr,0 I
'?aera(r=r. Jü=o. (otol€6u,ol,rJ 1=d(urul t 16t'
tüolrqlo1rr. ntht=3. Ûra1à iIgtre ilr,fl,ta*rlb^
1r^t u,*-Ë- t*e taLâ &. l- ! , LcAo""., 4
rtc.t une.a(*e
lr< - C^ûed
n f
,t(ü() *+,
Sgofio-tHdo"ûc- K-
Qcr,{*"t û }
ccto,^radc rt
+ toit- c;ttll
ehc;(Hl ery
c&u.^e.ddhÀ.\â & tt ( (ïi)(
G,t^.0{rlnr;l
'no.tr"r y. (Cthl, C;tt{) }
c,tqh* , ?o{ùfr^q ôc
H/
Ct(Hlf ci(H/
'?,t.r
doit- ((.11lentdp ÿcjCH,rtqj(ül =o
.S,.ttt0{ (+.. A(qo. (=1 . Ci(Hltflqj(Hl=o
.e".1*,[Ë c,rnt& ctêTrÊô.id ilut* Ê Cj(Hl = (;rHl.
E{p=ool-(:.trtl:0 ! * p=t.} cü-(H}=e(Hl
!!{ere d;o.
FÊû.cpqi(Hl :§. §i P+".- Ê=r"l-r;'tHl-sl
Atri (=p:o.
( c:t ul,
li
( Ht Ir
t{.lhc-
.+ crtHl+Ca(Hl e nr[,,(l
.crtHl tc1 (HlrO * Cr(tl) t (s(tllfQ(U l,Ç(tf, + Cr(Hl=Cc(t'll
L üe.c Crtgl
1çc(H I erk u^fud"§I*
o",.u[ d, (r,,r
(tK t drc ,r-4[q.À&
H .Jd€(t,*9, cr(Hl+cutlll = citHl
'('=l q (r(Hlt
CrtHl= (1(Hl*) Ce(ttl=O
!(':L:â (r(HltCutHl;(r,tttl-$
Cr(t{l=O
!Ater
cr ( H I ., cr, r Ht elcl
t Hl.lqÿ td cdn"., d{tà dqrU
rr .q(Hl+Cr.(Hl
t(t(tt
I :(:
(HtlCtt
ttl: §
CqrH
l.
Cr. (Hl, C; ( Ht, c,t t- $rrT0Ê ,K-tùl u,.+:h-â &üst4 .&*',ç
ar.hcJqa
§Crc
ctàedr lrculr. $r- nir t
--3 . *0" nt* t: I
'nth t dtu,o),(q,ut6 8rt*tr+§l = 3
.soirrtn.rr
ttxl
.@ slr,,'; i.ip""l* q*n"Jcar,H,&ha tK+ K qdarr&&À
Fipq t dog G,h[
IX (
ur.Utd û tt.,n (txl t .
"ftà. ù ü-
lq^po p.rU àâc..;oc,I*-
.Itq
ûdo-c r+a.lur*
"tli.otr de n.,r(Kt da* fuJr-
Qc,cn; orlr
cui,r^ÈdÀr-eûcc
«lO€, &. n t*tui $i.lrû{(d"h
A(ar
tue
flr,r
(lK,ld(u,ul
=tf t
f crr. co,,'dl
o0 n-tJs Bn'
{ rre n\,r(lr()[ d(q,ul sJ I q. r+{ tld.al"
(dtr,ul =o cq,u:r)
.3,r=tr+J = {P.
§ toit(u,r,r)€ e,i.hr,r*@.n.Ïror\* ürriè* =ÿ
§uppoorop,ùQI*,}c u € G(rt
nB(oi
.Ôt
tfts)
.< d( tr, q I r dtu,ro)
-(t
(u,t^rl€
Bülty u4. c.t e| d(urol.( /. ' Q.d'«S.a;h Uul"tr/"lQ Sa
.Att.' Vtqt.llcBotr tf,ft.r + Grri 8'.' = ÿ
.El Hdo.,rs* flr,l (rrtqh v- un),!. pT§ {*dû{ei.}
q* n,U*S" C
l-1", r(rKl
.Potr^
,"ür.
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=n.,,
:' Tr{t o§u
0e".ta qrs ca.d
uB,
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*
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t
u€64{hpù h.J *l.urj, ,
rË_
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uBr = L 20 : ë)ncq,d B"
=Î,"*.t*-f. {*.
GdaAà,e
dn-dtt 'ï;, (kl
=r.ur:n.
l(or
co^d
@s
J,t rt.,
nuxtI
trHA(at
-1rre Eu., ür'd,cg,u)=o
dq,c rG 6r
"t- dÀùÀùdo ,r El
AQnr
trt,u,l f
Ë 6. 3 d F,r t J ar.un:r
cnr^,:l,r= rro,(rr/
J
€Br . nù; dr3,r)({
.q§or 3"rJ ÀçF6!
ct(Jrû1. I . §,.11a.., t.'ü prL u'd,O&a Br
\* d(
3,ü,f =J
.è r f ç'.f' ù 4(uru,l (
dc,r,yt d(ltu,) ( z .ctaeld;aî(û,
P
t,6
1€ En, d(s,u)=1
.3l
flr,
r (tk Ic --
llcr llc <9
ttQtc
I = O'l(jt.!+cro) =d'(e,ol Ite
€fr <Éà {tf
cF
d(3,§tc
I =r
dte,o[:J e] flJs6e
ôre €Ell.
<=, fij l+j
=e-<P
l=g
<â ll6+H dta, grcT'
olzr <ê tte-
{Iq flr,r
(tfç t/
{e
§ {oiF e u^ êr&a.}a"
il5 = 'le-
I,n1do.r qll
htor,c t dt E
lËt
nrl.
Au^-.' 3 ! e
c : $t1t+
5EH1
I o § ol
ü,rçri uqrd) balo*rdr. (î-,) =(i i i i\ .*siL&,,*
bonedo6*, \§ t \ii i il
rr'{or G,.'.,,.,!=((il(il
(il fl)
** '*-b*& B*'
§ *. ï*, (i i i ; i : î)(il
=(,i,)=(.l
Aùd nrT'+ ô tqc t, € tt*,
(r«l\
Égor
ttr € Ërt et dtX,X'l = I . nri,. l- = 0,f r)
T=0tg'r) = l*r* clr e olg{lûd oo- nrr (lr(l ul
el
te,
o1 =J t ttt $'= lt: c
Ne ',r.le
rL^r
lrûu{At{-à f Y'
àb.u",t^
e'Uu[.âç a"
n[,
(IK.l? 1.+
ôû* h.l€.
tra.r"fo."lern*.,.Ner,,r*{
dt. [.rs orrrtr. (i) !
coer (i i)*h küôtt Lor. cda- ô
t'qh tc Lô1il^.
à 1 efry;
âk,r -(il cq^
c6=ttrt
c- .Otitûfr(T*-
T= a"+c3 À(or i1
=o, ï\:t
1 h3sJ t rtt=o
.g rd.o,oiu.c5f- tt, JÉ ,a o Er.tlJ /f
H, ,lt= o aLa-
(3,
l' I
€EuL e| drl,,]'
)= I
n.îiJti .S
uàp*X,!-
.*i ('q
fro"t'üq
o. «Ureüârrô tl btr,I'+o ùdi
tcÀlà. d,qu
(c.üor..rut tor
.la^.a.qE-." Q.l,.hlu
Q,q,r
* n' ü
T c( tr^
uu
r^ai^, f,,q{ at-anuo .§.paod T* d.q. cr.-paolr epa.*e.ëf 3t.:tfrr*.
.5=6r*e ckËc- d(e,ôl=/.i Hd*=Hc-.
ttX tll l crehaûi.e lr, â0oLat e dr n+r («l c$Ê.lâ..t"t dte,ol= !
cÀ
ttte ; e€nr,r([q
e] drerol= 2t c E,i üKl , §o'tq.]ql-
rl15(ttl
q
J3=I tld.d! u*r.Ieroüh flurre*rgsla.È o da
t11,1(tttl d' qrta d(e,o1=
Atr« q
r el HJt=
Itc- '
0't" Io,f
d.o"ct* hrri et^,C ol,t i.3 & J".
irt a cr.ôh.
Q,eo"*L ,rc{
Ilcsso sc ?!rso
:
$J Qrco.a,üt*, hr ;oç
Co,u,.A &*Soi,
!?.r8
0ÂCttE lE Oistir.gu"ee, 8ol.ru* ÿcro
@ A*q.Io",.po^û, E
eoTre{y' É$ry t p.o[6..
tlcr»
err0rrlrr qf,
UetloulJ'u.ldo Ad^crLno.*,r$ ds I!,,
UkfCorur*-urra
a'o 'rroüJ ea$eibL S
&atùpalu,*dr
nilnurr., Ur[*ÿ
*u*,rl &
H0,,(u() ûy * t{ fu.tia" n.â'u to"t*rà ho.trA
s erl.,(,(l d quc l,t,tf.flre g}'dterO)=d.]. ) .'ltl, ïÂrù{"&, ü
(..to.ttrsl.d ù nr,o(u(,-,t ol ,10p*h/&)oà Ëal,t î aq* (r,n0 e!
ï," t' Cê.(Hl.
ft€at.oticr ft
qt-co,rü,a;Lû, *.utàe. ?a"q* *,Êd",tÈf*lb,
\** It1t*-,r-* co,,ù,uclio^ %t'W * g'
, boæân eréq.i;r-
d'u"6te.a.hor. -t, 1ll' u^d &.hùüxûLe ?cÀucr..f p, Qo*o&i*
.tcir t=(Ï
)*Uo[.aX-.^n
tul dc nr,r((Kl i ÿ.t G,t.B, éi =oæ { "}- (t1,tcr..rêl )f otra
,*no,i*o t *. (J ) $dtu^ ur ïr^ a'dc.Il. qÇ;r'* ha.. I
.ul*r{p
r/c=..*,r,, ÉJ
§J,. *1.ff,[:,:,
tqhol,ie** 11rc t\ptoü'ornf,,urf -ro]i*Ytd à t'[J,
sê,ïJw.ocie-
[16=
ffi: t ri'rri et,*ttet .Ëil"€lclzU Ufü"f"a, np,Jr,trld!
tti t
Ê{ec É'' q[ * lf dfa& lii, rJ] dor.r Ft,r(lkl-
t 0J
.A(r \our le&afpu*..ddo H ea *rSuu. H1 ûe ïE t Y
È*l âe
ü-l t *n r b $\tÿw- ao h{ nof S'(
0.1 .pt,&irrâ^Srrt t ehtlel.+a [i.r^.û= ür,!ttJI r l@.ltaà €.. f
1uluec
oe- H1
o^dc.^} â
c^bar ry E P pei*t,r,r . (cc. d.a.c--
t--66;'. Adi cr(hrrl=()
P. 15
ErerSor§-rrous êvcc ?=3 eld.. *={3-1 =I.
!,
èt ),1, s,(, r o'dqi.,al-,ap.d*§-"* lhor<- e i t
0ù p e;lio{"r
:oô1/ olo I
oJ) t toe, 101, !!ot tJt
.ll o I o I o t\
A1[i t[.Io s r o o r tl.
\o o o I 1 I I
Is
Haet
H. Xe, (Ï ) roo.r Ê.
de- ttJ .
Pæ0,,, 834 d(er,o)
=J, .à *, Li ''iular H.lo el-
= (fl..a*.r
f -- ÿ C!t,j . Ht *
e0
t/ot^&r^a'ahltoù;â
à €ocr.pt
,4r,,,Âo
rtel ft.p dc dpc.d^c.E e. g.ahâ^
!h^ï[:1'*
Q" te«0o,^.
u'to
Aùi âd* q
.@ E ilür'û,,rûi*rfl,.rJv^
"'(l iti r î i)
to Grkâ re,i,-ca Ê .l=fil , .:li) ,.t/i) . ,t* L,,c\(, Qacao.ar
tj 1 l,i/
l..i/ (o.ràcs
-
rr^
u}o,tr/d,p. trrc. ll,
c,ô"(i ) . 6irr, 3 .
rrec,
qteok)ü.
tdu,,. aa Hz .
tl,'c,' = ts us 0[ -r-. f i) .
dter,o)=r
dec.t'= f(o;f )=*+1{ €3 =f i\ . r.,â.t*ali{n"*e-& Lr &cr.',*or[torrr.qc...
\il \Lr
?to noùor otr- 1*
(dr,d,rô r,
d., )qt,* hr,. de (
Hc.ib «§crr[ôflÀllâ ao.É $rd,"-= o lou- [*]i tore fu,tll
.(ût,ôr,ôr dt )qth.Sfu d. f*r.
ç1F§\æ"+-Enô[ fiüco*e.L
.toit' C€',ê"r6trc,rlèKf ü opr"
E, drt
8udat trd
I+{.. dr=
o .f,{CI^ li; \=o-âù €1=€1=€1=rs=o.
I !l l'"
- 'rr'L
I t11e, t
11
|\Ë: lj:'*1',1
k- loÆfilr- €u.- a* r-
Tr =T-] =r &{.tr. A&, d\uà ir g } {l
z(41,drrô
t,lç I
ehu,.
lK-hue-&-
66.,fuqu. tr'":Iÿ\ù*[ld,aÀa
:rer,,,é, aub k-bqtL
\--/
(ôr,û,dr,dr) a\u.,
§nTAa, ,(- 0Le p"§"- Uiô.}a d* 6H* ,Fpr,-
(drrd
,,
ô 1,dq| /re , (Q, Qçet,kt
IA'lli €J = /j \ =
ô1tdj to t3 t o de .
n€aats=r,rg:
J,\i/ :
Aoi; t=oîîr t:5.
lrrcr.
=fi ) e;,", {u,îor.r.e^ d,r,,."u.-
.c1:(s'=(i) '
!'d,1to'oct0'd1 to
'ô1' §r=rr§r'gr:{q:o ' $--J
'-
?tt
Ha
Dr<
Q=
ll"
€+C3+€1
d=(i)
ltr
Cje =Pt,f t'
-2 {l t =-l H.
C1.
H ae*
(r/s.c aT,
o.dat J"d;'r o-dt
.S 3=ôîî
c{r.c d ff)
({)
=ô
(ct,
o)--J=
O'd1r.ZSSI
of irrt"O.r; j
of integer;
tot.ra 1l*iao û'(rrm.ï*dt"t{ dc 5 /,fi|
3lq
3
tk y
JooîI . B
ur.rrtorLe- {o
1iho{qj,l,
cof'Iclurèe^ '§ tco.rialo.lo*
fc.rlO'ecU.c. tra!tg1forxr- q* fqr.|àpÀùe d'u*
cdu".r,lrlus
,ùrroto.fql.'
ü{ . * flr u"r-orru-
ôe dLotur,,. Q*d.{t(T^ oniâ
'eoi,th o.- Slt[qlr.dd&uoh'orùihhh
.Program hec2004M1;
uses crL;
const P Max=8;
type maErice= array [1. .8,1.
colonne= array [1 . . 255]
9oîrr h
t"-
CorÀtrcHcd. hr
procedure construiL_H2 (p,n:
integer;var
H:matrice) ;var
k,j,9, I: integer;
1-.o^ i n vuY raa
for k:=1 to n do
begin Q:=k;j:=0;
repeat
j:=j+1;H[j,k] :=(q mod 2) ;Q;=q div 2,' until (q=0);
for 1.=j+l- to p do H[],kl :=0;
end;
end;
6.cl.d.tb
id
dÊ tÈ,1c. pî
3
.
t t cr...'at pcl {r. eo,ü
(*l,ttit-d.roct-f
a § lloc'ç11h.
cr{tu.b nr q
,r(qdaJ-
$Ê s. cdo"c
Aû tt.co$hf
"
ttü,
tt.-"ctb w J à
p;oi['o..ârtrq,tÈû.â .
rxtt:atd"
dtat«tr,
rlrÂo.,btato
ôuccri&
ûorr&
d,ùâto'r dr{, ,o. &.
ârro.llô laÈ
Or
cn*&a
(ooutu".
1c^ür'trQ
.PIL
}oin
I {.. ùiterHîro[îon
durorl i
vertueI d.
t'erreuç
a"*at"r-r-r-erreur
(n, p : integer ; H2 : matrice ; C : colonne ) : integer ;var i, j,k, s,pui-s : j-nteger,' begin
k:=0;pui-s:=1;
for i: =1 to p do
begin
â. _^.
È. -v,
for j:=1 to n do s:=s+H2[i,j]*C[j];
j-f (s mod 2) =L then k : =k+puls;
puis : =puis+puis;
anÀ.UlIu,
rang_erreur :
:k;
end;
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(* Déclaration des variables du programme principal *)
var
n,p,i,k,puis,
nombre : inLeger;H :matrice; C : colonne;begin
(* fntroduction
dep
*) write ( 'Donner Ia valeur(* Cal-cul de n * )
de p (p.=',P_max,') p=,) ,.readln (p) ;
puis : =1;
for i
: =1to p
do puis; =puis+puis;n; =puis-1;
(*
ConsLruction de H2 *) construit_H2 (p, n, H)(* Introduction de Ia colonne reÇue *)
writeln ('Entrée de ]a cofonne reÇue' ) ;writeln;
for i: =1 to n do
begin
write('Donner c',i,' . c',i,'=' ),'readln(Cti] )
^-^ .
ç1fv /
(* Détermination du rang éventuel de I'erreur *)
k : =ran9_erreur (n, p, H, C) ;
(* Correction de f'erreur éventuelle *)
If k=0 then writeln('il n"y a pas d"erreur') else begin
writefn('Lrrerreur se trouve à la composante numéro',k);
if C tkl =1 then C [k] : =0
else C[k] :=1;
end;
(* Détermination du chiffre transmis *) puis:=1,'nombre:=0;
for k: =1 to p do begin
nombre: =nombre+puis*C Ik] ;
puis: =puis+puis;
^-^.
Uf IU,
writeln ('Le nombre est : ' , nombre)1 end.
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ucûûs"&h He
Donner Ia
.Eintree de
Donner c1
Donner c2
Donner c3
Donner c4
Donner c5
Donner c6
Donner c7
L'erreur Le nombre
valeur de p (p.=B) . p=3 Ia colonne reÇue
. c1=1
. c2=1-
. c3=1
. c4=0
r, (:1
. c6=L
. c7=0
se trouve à la composante numéro
esL:3