lhsacb le.l.l1rd 4lt^hs · datt acgrorlalon- wo&s4 ftcneh se}'''l otva qdrnrd...

21
Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t-- -r- l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o- ahr"<-L .. Fra ^- l,n.n. t l | , I t ! O et tltcoL Ls?,m+fz U I t- +- 1-- Xa.= d-txr | r''-X/ \ 7 tjrtEnuol. cocf{rctatls D.,4le +12. *.e taL< V! x u x - et -- x,-x, i l, = )r-x. fun*7A;"o, (t) L' U^.4 , €..rr.'o=, r21 4lo.^ zrlt't 1€,) = <a-> --o ; T- Aacu"a ([^l Xa , tnl r^J . 1a) t (x,,-.x)= a Xl o cnh at.',.r*Ll 4t + 4,-- I (2)

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Page 1: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

Datt AcgrorlaLon- wo&s4

ftcneh Se}'''l

OtVaQDrnrd Tol^6r.',f , Qurhrt (rvwr)

Lhsacb le.l.l1rd 4lt^"hs

t---r-

l ' , X u

2 Conb oz ,n nn ophn^l "'-, h *) o- ahr"<-L .. Fra ^- l,n.n.t l | , I t !

O et t l tcoL Ls?,m+fzU

I

t-

+-

1--

Xa.= d- txr | r ' ' -X/

\ 7tjrtEnuol. cocf{rctatls

D.,4le +12. *.e taL< V!

x u x -

et - - x , -x , i l , = ) r -x .

fun*7A;"o,

( t )

L' U^.4 , €..rr.'o=, r21 4lo.^ zrlt't

1€,) = <a-> - -o

;

T-

Aacu"a ([^l Xa , tnl r^J .

1 a ) t ( x , , - . x ) = a

Xl o cnh at.',.r*Ll4t + 4, - - I ( 2 )

Page 2: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

- No corflLlro,n L.|-u.t mezttarc.rrral- .n\nt

( - , 9 . ) = o

<oi-> t g:-

.'. <e.l>,. <e.$2:, tL<e;>;lt;>- t t -L' _ - L

I - - ^ r6, = aE* ar_6i- - L1

lnbL.' h S"lue

t.tr\^ a- !|^r^r 4/Yr laflfu,,az --s+vhallc.,t,;lr.cb,,h s"hf+ b @)

Uz !^t- nzla,*)

-uul$Lr..v

Page 3: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

14" 4@414

' z O

a._-E- = 4,, + a,-_l

st't"c !-. 4 "^/ 4s--

X -- -' l-------'X f (lza ^

/ r t ' l . ' t \ ' ' l f f i :( u r f u r I- / f f i

| - J-- -+- -l-

Page 4: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

futr gtruan,orl g4 Varnlw"J p^h hss,nrhhonSabgcl' h ltc .atnoV awleql

l1^tU.4 44) clqh4t !$4. QxRt4|) t t?) t t t l -D2c)

-.- Nohhon '

(r) L (oH5 slale-,tecfur. = (ur,t, T, s, f )b^f'*4 t Jl *hrooa

V1/ y"ah uat* f

q NL Ro^is .frr; * f(t),f

u'let'-!tuo1

(r)

Cr)

(')

d Ldr

@)

e,4&t h lb) "^/ tnLr)

Obscrvahons Jt n* ,Lorvah:ort t;

n"r u"wt:'a-,<.c I (= a\n,;)

w*.1 ?ulz"l "* ,h lo,"ls

L'"xbr) = Lix;

tt,,bra..r.j botr",il. sl^ke Y5 n,IIr,r-ror ctvo4tnLL Z Ty..'nl$ ,e

d pttoru1 [email protected]'.

(-tz. duola lll b..r/..A)

": h &"qvEL*^.

b*clur'.ryAw'll t*. c1^^I"lo6y

Page 5: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

LL) p*i"l col;,,.|, t*

Xa, ha5

O ' + Z

aq?( ..'r4att<4-

I g ' r , ) '

h^r nlvht?4t

*+,5F7 G) zxrctl5'!,--onV co.oktr\"

, / \ ' ' | | / \L 6 ) a n d 5 ' 4 n t f ' . 1 ( 6 J .

, / . \ ( ( " )D^ l@) , 4lr- lE ) a/^4 -'f <snfal 'larq'blzt '

Tnpo"lanf relu.ll (ro".. Pabtor ond 6uthct' Ltf' t qJ4H5/ !!Sr.g'L?z)

-fhL e+h.tlb

?. Fr.." r^,^thran?

J(l) ' iU- *f g' ' (4-I") *Cort trrnclron(t'rrb cr"'zh'''^r)

.,4 + (urt - 1t{, ( !,1, - 1,)Lr t

3,abr.aI- 4o {\c- con"E^"t +t^.* / (t)

(fb ^"lzl d1**"ics ore r^7ot4 ns +

$a*.k, (n+o, HwR, r se,. s1f,' 8x>)

ftoJolar'. :

6"/ x cc) +Lf

Sol*trt n "6 &')

/la ry1rn'nrur1 v4fi4r\r4- .sl',r-le

1Qn-x.)(4r- x,)t) = (

fuqad ,aUy

Et ,-..t, a44t v.raz- 14".1 X-.^ t"\ d ! G\ "'*- p..4."Ily

koor.l n , ao l+- conlnl ,tan^.)ol< L x (o)

G)

t l R l

Page 6: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

x (c)

6r"^?!, ,

A*wa,t- (or s,-q\o'h2 lt*+ oc.V,++e <@t.'v t *nl 1* to it q<L""l"A *

Iur^, ttl. al €*ohoq Jb

f , [ x \=

J - - \ r b t J o

*

I

I

I

,t

b

=

1co) - ! , ) *

' ' Qta-z)

- ' (-I,)t

La)-t

! ( x r o \

J ( H xA \ - - '

L

t' 'dao$*trah,r"r I el

n ll-<,

b-- o

( " )

Page 7: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

?ablo^,

hnrmrz4 (1)

C-rzlrqr+ .,

sablecl lo (o)

lrrnchon :

wlotw

a^A\\ ( c : ) = r ; = )-*,allwl,.r

I

Gnutlu 4,. l,r5L va..io'ho "t

5x (o) '.* x ta't tl &)- / - - t I

- r ' ll o . y , l = I o , M A T \

= I ( iAt)

= f ( jA t )

[i a.u)

frrn- f,)

a42. 4^L^oo^ ).^.6ra"6

IL

- : L

.( 1 o*o"r"lol t*h, "

' x cc). ̂ .-l t t, (t) t"

ch"5+

l & ) ,

{ { o sir,l q'(tr,)-1,) * sf,o1r{'g-'(B 1t")-r )

lt't\- $,)

A+ v , s{ (*: - $t")

€i) "l/ d 6.5.', TAL

M

=

Page 8: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

) \ :r t - -

P\T: l - Au

/ ?r , r '1 4 ,

r " f\:t

J *t l ra) t r = sgrt l l t r ) -"

5 l (o) > (o)

lzrw 6 ua br.

TL Ropts :

4y K0i4S :

! (rr) [aa-r-

s{ z 6'}t")

j + (1', s"")- 5d d-\ -i - - l C t ' - - / -

4 t

u _ Az 4 /{. c".\ " i ' r ' . I

dt \ : , " :"7 ;- ,

" " l

-tt"'.{+-*l

# *ti,

{

EHz

g" (lte1-l')

5{ (-.J#

5{ (,# _

+ sltt) AcY)

- ( { ) r r , .

*rO-J')

r,"tr,rl' L To^

4 i - ! - / > . g ) f x ; = oJ t - \ < r I . /

'r. , ^ - t r- d . \ - / ' = N . ) . x ; = od t \ d x / ,

E I , ) =

L,u)'t 'NFl 1,44 ",114

- 6!,r,Ir")- / 1 a

5,.,. $tg'(qr"-))J.lir.

Page 9: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

Ak +lrz

2 { - ^ o

( - P \ I O 6 -o4, \ = | .:--

N L cDl4t

i - f ( l r ) - f r

= (#J=/.i*-- €)r

!" Su,+

Lz).0

AD Roq5 6r"4

a ; r , . . - r -' \ = S ( I ( o ) - X " ) - A C o . ) = 6

{tr

S4l'rl4q

txtt)=_$l',t) 5:r<-.)

Page 10: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

6J (!) .,

Eiro).ts'(",0

#q !i(lt')-x) + llrcIgflgr@:

l = dq)t ft) - NL ROHS

X (o'\ X_o- (c $r

Page 11: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

It-J-trI

l

FIILlItII

t2) 5alvelra )

- t-- (+f )-^- J,,, a'9' '( tr '- ;)a,+.1 +n /(r).o "^l )+(c) t,

*q= 9-r( !c,) - ; " ) - r { ' ;

- 73o. * E_!r.?jLo) 7X@)

-2 ^o RoMs e,-4 \ -.5t,, 9'9-'(yX^-t)

f t= LZ)o J

La)

r l-x" \| 57t"t )

-!:-.axcol

/251tc/ wtnra,tn

Page 12: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

- fh ba'* shory ararpanl .|-dwcqr,r- I vor,.Lonoj /lh_ ass*nrl.,hon ^h"* (|*a"( stwnz)

a4 Choosa qn 4(o) (e.3. 4(o).5.)

U) rntcTnte NLRor.rs, t= fo,af , il ^le

(") Jb}"gr:Je rrp Qe!.s, t=J\* A!r-1 4

- l'9-' (trtt)-t) u -r-,J @,,) . -\b)

sqrl

(.) 4s - 4.c,a! dg$m h !grn,"a 4 '/o,ltn

corrqho a b 4to) 1r,4 y,"l/ + r"",lV 'ala 4

oJ'r"t1t"r(rL J

7ra .onl"l companenh l' $.s

, . \ ^ t r I rLy 5t l sr?.- dctayn,rrhon : ltw _lv loo" FJ",rl d" * .p r-

ta') ?rzcoyrdiionrn+ (ic. noA*U {t- sLraa ,( lh qI func[pn( J . . e - |\.,c(w th "Kr"rc^rn .( Ih ^Lralhn\- d r

Page 13: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

Us,nX t+. rx,src dz.a- otr .onSn1.L X.'.l,,",h ^"I1rol te ^ u7,'"1

elzl tt) as:

L;l L4+ 4.b) be l4a c*,zo,nl NlRar.rs rorlal conl,hon 6r

llcr^hrn n -

(,a) '(t. r'o,' ',hd co"Jrho. 6 i,r,^ bV,

I *rt') ' I.. to) t q dn

u |'.^1rr

( iu)

( , r )

/.s..nl Arr."hon

slep srze , se,,..l-a, Tosthte

Tlre 4" -te A"ler ̂,nd t2 lV srty-<t-;

d,, = - (**r)" t i. dn-r t-o)

U!.r.,r€.

n-, = (fi")" - .131,,,)'(#")^ (.')

4 " '

l a t \ ' T / ax \\5x,))^-, \5rr"J/"-r

(dt) lAz *ear',a / 6...41 l,n hon5 rt toryrLaclt'{ e &'/

44t "r- {ro.4', )truhn 15 "ll'ryonJ 6'i1'6"k) t 4

yr-cvlou-t sc*th dt recho"l

Page 14: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

of, llt,st v I Tee va(6rtl,p0u5

/ ' - |

0 rg.- ,e l**i.e , ho,, br6

Lel\ 4'0nrc

(^) choe re

tol

Jy'allnt

({r)

Y+o

t b l

) J :. 7U( , )

+ l9J (r,o-^4 .l1C") 9

' 54 c,) '

u6tc oqnzaf e no/o qtl nf 7

7" yr'."h*, Ih c-"1,.,Vk n*htc ol l z *r,reh

/,'r"ot-" btca4 loon ^nd. bzco^q !256 2(ftcrcaf.

-9 "y.rl-l * ,rs,r.1 ,f.1"J lccrznl zvc(0-

Flelel,q - Wewt o[.p'rrli.".Pof rcf..- Rrvcfe "lyrrl\n

so ollz4

9 n rr r q ?

tt+ mwy,l.V "L,,*6

l-o ht )sltn Trd,ltnl- ., V 1

Nl. RoMS) B ),n"r*

€toa somz hul or

a,btpr? sL\ cr*- 4 , Aal ,.^7-L .ll,- ,tt,r:

!n(o) = I,,-' (o1

IA-tr ctr$t"n6 ('e.ctfrtqh r" ,61'"1 q

t da , l

S.t(") .

t J t n 7 1 5

Qulf 9 ' '$x@'t)) 5r,'("r) u, o, tttn)

Page 15: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

c) z( *Lt qle r, c lt,v-tt 1!.s. a,u, "fu AJ,-z t- ../. . I

cl7 lu u,ll gell . n, 5!. e,r.:. _fg : _ __

# .jri&Lsla 6t;#i{Cll-_ Ls} &J) .t7- qhJ .l-i- ,( <.. ,s 4+ul- nh'oh vul*a W

tot*i'f ot". 21 ,,' 5 G lh.f I,.r oa 1lo- ,,n1^". r tr )w' ' ' 1 -

? b t r r - 6

5 1,-:;Tilry{f1-4y_ il 1.rsle'(1lr"lzD]-

-reE I9 - -;lrz;g+o+u t;cll

Loq { Tt^.h.rr lttq, DfO, B. 4tt4{O----....r

\r,r"r) dq UaaSzt . t 4t 'd ,&--- 7

fdv) C.^r..e, 4v n-t\ /

7L /4t1i ,",AJ oJ,l',-t

ir,t' x".,lrl I x.J-"

Page 16: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

t ru ?wll nof s4DvnP "pncceLtttz ra :

( r )

( t )

ch*a ,o. \"(o\ (a. \ . 4,(o)-- \L)

1"+."L pLR.oHiy +t Eo,$ , ,^ol , - . f . t , J(-r ll ; l^,tk * n 44t b,hr,tJ

tnlr.,6ale ̂ D ttPll , +' (v,o) , (orrl 4 ilav,nlA.tt .r. v^ L&- ,^lrr/,.1 --o (za/>xt>)

W ,r/rrto\ -- 9-t(lto)-x") r

c."f"rh, u^., &"a.y' ['rcclio '.

, /3f \ -! t ' . - tal tA )r 01-r ! .n- l

uk,E to-- b (',.c. s+ey* At>.c,t,

*4 (n'o €v7 wtr1n,N\-- o

/4

(r)

6)

( r^ / r rc , )

v+ +'r*)N { , 5

ellatroql, ,'a. tt)

C)-'ar- a- k'.! *7 t*

grLtlov't ,f.tnl,rtr ) ,^.J| *"A.,hr n

7"lutrr"le. ut *r,"t,rlq{ (4})

< (^lul/o cl^,-,t-

^rlr*.1 "-

ht,'j,/ r &r--,nth.,{

Xnto)-- !,.,to) + n4',

[ , ) V'^ ,*) 'ryh Vh",l *,

fi) 0,qr".LI

lL r^rlJ *"hhoa

Page 17: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

^ l r?fetoadthoanoy of *Lz Gra.dttaf Vt-c-lor

L/r, t-.1 he"rCot,nr 6 sL+- p.'"-J h on'n7.

tttrn lp "tc/t t4- hr*hr--J..'- ?

.-- 7 (x)

,/ortglo.t

(4^rl.aE *t.1-

Jq) " / 1 '9x

thlft44'44L ^. tP+o .'-';.14 z

t ( ! ) = ! 7 ?

u J.l'c eern 4 *-tahr.a

E " s7^,n"hu otb,y

3 ti,h"

( ttntt*, ^oh,*) ,

I ac*l urh rq.,J x

Page 18: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

x ).T

-l

(n) . ,l'lu Ht*r -.h,

I x

; ^.,"* tA'tl',t

c-' + Hr o't f t

tE nzrtc .

c An .a/ c-*;4.r+.L-, :

- fzL bz/'u4;.r' t(L) ,.v 4-,,*1,,

5ffo 6nsl.".vl +pvhe

. Courhcx cl al. ( nq4 : qJ,?Hsl 1zo, t?ol- t?t?

I,4DYfrP

N-L (.|ut

tl*vct cl tl , (aool : l4tle. , lSlr Pao - lt?t

| , | \ ^I .ln *tra r,asre'"'rnh"l 4orn"lrho 10Yh F-

Pe,otr s,L)4.-o

x (c;) = f,c

."/t

Page 19: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

(onlnz tz*) *,y' tzt)

I b;\ = lL6; )t*,\ ( x,tt'-,1* d 5 (i,-,))

= y'L(r;,tr-,)Xr(ti-,) +,k[tt;,t;-)jx,(o.\

s, fL[t;,t;-) t,/.ic-l * E:t.,t;,) $ (t'-) !4-

TL BaHs . Treya^hr

Cons,l'n et.ta r&z ,-/ /to*hi,"' (v 2 u _

t(t) =

tzq) - Qc)

: (x)J sfiol B's"to)_ . =

,l

|.,U;tl(t;,0)+

- / . , . (

( u .

'l)T g-t(l r,)

tq-t)'2-,

Ito) - 1

t^ (t ;

r l2 \

^,

=

F. l

t,/l,G;,0) X'b)

llt R lo= = - /

ltI Ii

v . -

xx

c ) ,

' . . ) )

T.G;

. L i r T , .Ui gh,;)64b) - y) q' (a;,t4u,oSat"1 \

+ R(q[61tr)1lr)

- v . )

+

L?

t

-Yy

e. tr Sdat g' Etd * '. )., Q, slat- d;f 9-' Gt sltq - ar)

alAt a

ltt,to)

(ra)

Page 20: Lhsacb le.l.l1rd 4lt^hs · Datt AcgrorlaLon- wo&s4 ftcneh Se}'''l OtVa QDrnrd Tol^6r.',f , Qurhrt (rvwr) Lhsacb le.l.l1rd 4lt^"hs t---r-l' ,Xu 2 Conb oz ,n nn ophn^l "'-, h *) o-

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