d n a ) 6 1 0 2 E C I A ( g n ir e e n i g n E r e t u p m o C d n a e c n e g ill e t n I l a i c if it r A n o e c n e r e f n o C l a n o it a n r e t n I t n i o J 6 1 0 2 6 1 0 2 S C N ( y ti r u c e S n o it a c i n u m m o C d n a k r o w t e N n o e c n e r e f n o C l a n o it a n r e t n I ) 8 7 9 : N B S
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1,c*,1College fo Engineeirng da n Technology,SouthwestUniverstiy,Chongqing,China
2HanhongCollege,Southwes tUniverstiy,Chongqing,China
ageek.shen@oultook.com,bleixuanswu@163.com,cxnmwj703@hotmai.lcom
g n i d n o p s e rr o C
* author
: s d r o w y e
K Comfor,t Neural Network, GeneitcAlgortihm,AutonomousLearning.
.t c a r t s b
A W etiht h development fo et h automoblieindusrty na d et h intelilgentautomoblie,peoples' d
n a m e
d rf eo t h comfo tr fo et rh c si a improved, os et h comfo tr fo et h smatr rc a needs ot eb reasonably . d e ll o rt n o
c nI sit h pape,r eth intelilgentconrtolmethodbased no neuralnetworkalgortihm si u osedt l
o rt n o
c et h in lfuence parameters fo damping force fo shock absorbe.r Memory archtiecture si d e h si l b a ts
e ot ts orememory,geneitcalgortihm si uitilzed ot opitmize da n judgewhichendows et rh c a h
ti
w et h ablitiy fo autonomouslearning. eT h theoreitcal tsudy shows tt eha t h judgmentablitiy da n y c a r u c c
a fo comfo tradju tsment nc ea b improvedeffecitvely yb et h opitmizaiton fo geneitcalgortihm d e n i b m o
c hw ti neuralnetwork.
n o it c u d o r t n I h ti
W et h development fo et h global automoblie indusrty, et h demand rf eo t h automoblie si , g n is a e r c n
i da en t h requriement rf o operaiton tsablitiy da n comfo tr fo et h vehiclesuspen ison si oa sl g
n is i a
r . eT h requ riemenst rf eo t h operaiton tsablitiy da n comfo tr fo et h vehiclesuspen ison ea or a sl e l b a c il p p
a ot et h smatr .rc a IEEE conrtolsy tsems sa sociaiton beileves tt ha intelilgent conrtolm u ts e
v a
h a ismulaitoncapactiy fo humanlearning da n adapitve .][ N1 euralnetwork da n geneitcalgortihm e
r
a widely u nsedi et h intelilgentconrtolsy tsem. Ameircan neuralnetwork scienit tsHechtNieslon s
e v i
g a de ifniiton ot neuralnetwork sa fo llowing: A neuralnetwork si a sy tsemcomposed fo many e
l p m
is proces isngelemen stoperaitng ni parallelwhosefunciton si determined yb networksrtucture, n o it c e n n o
c srtength ,s da en t h proces isng pefrormed ta compuitng eel menst ro node .s eT h neural k r o w t e
n sh a uniqueabiilites ni et h intelilgentconrtol fo et h parameter ,ssrtucture da n envrionment fo fl
e
s -adaptaiton, fls -e organizaiton, fls -e learning. Geneitc algortihm si a k find o nn -o determin siitc l a r u t a
n tsochasitcopitmizaiton too.l sA a k findo globalopitmizaitonmethod w htih h ig ef ifciency, l e ll a r a
p da n randomsearchabiilite ,s ti si a powefrul lt ooo t solvesomeproblem .s tI nc ea b mixed hw ti r
e h t
o technologies rf o intelilgent conrtol fo et h parameter ,s srtucture ro t eh envrionment fo et h l
a m it p
o conrto.l eT h combinaiton fo neural network da n geneitc algortihm nc ea b a method fo c if it n e i c
s searchoperaiton.According ot et h advantages fo neuralnetwork, et h globalscholarshave e
d a
m deepresearches no et h neuralnetwork modeilngtechnology fo shockabsorbe.rSincebaugh te .l
a ][ 2 tsudy et h neural network model fo et h nonilnear charactersiitcs fo et h mlitiary vehicle c il u a r d y
h shock absorber yb u isng nn -o parametirc modeilng. Chang da n Roschke ][ e3 u s neural k r o w t e
n ot ismulate et h response fo damper ,s et nh n -o paramet ircmodeilng si oa sl used.Dong np ta e .l
a ][ 4 bulid et h modeilng fo vibraitondamperbased no neuralnetwork, da en t h b uitlmodel si rtained d
n
a te tsed. eT h resulstshow tt eha t h vibraitondamper sh a a good ismulaiton da n predicitonablitiy fo g n i p m a
d force-veloctiy.W etiht h increase fo et h number fo learning, et h accuracy fo et h model nc a e
b improved. E ]ski [ 5 de isgns a robu tscon rtolsy tsem based no neuralnetwork rf eo t h conrtol fo e l c i h e
v suspen ison, tse ablsih 7 degree fo freedommodel fo automoblie da n compared et h suspen ison h
ti
w et Dh P I conrtolle.r eT h ismulaiton resulst show t ehat t h neural network algortihm sh a good e c n a m r o fr e
p fo ita - dn roa di tsurbance.G D tuo, e .la ][ 6 propose na indriectadapitveconrtolmethod r
o
e v it p a d
a conrtol fo et h neuralnetwork nc a enhance et h conrtoleffec.t N lA -Holou te .la ][ 7 propose a ts
u b o
r intelilgentnonilnearconrtoller rf o acitvesuspen ison sy tsemsbased no a comprehen isve da n c
it si l a e
r non ilnear mode,l da a n silding mode neural network inference fuzzy logic conrtoller si .
d e n g is e
d eT h ismulaitonresulstprove tt ha conrtollerexceedsexsiitngconvenitonalcon rtollers ni et h st
c e p s
a fo bodyacceleraiton,suspen isondelfeciton, da en t ri delfeciton.H W tu,i e .la ][ 8 presenst na e
v it p a d
a conrtol srtategy based no neural network, which aims ta et h it me vairant da n nonilnear x
e l p m o
c sy tsem sa semiacitve ria suspen ison. eT h resulst fo ismulaitonanalyssi da n bench tst e show t
a h
t et h vibraitonampltiude fo et h vehiclebody nc ea b reduced yb about30%.Chuanyin, T te .la 9[ ] e
s
u a conrtolsrtategybased no et h combinaiton fo geneitcalgortihm da n neuralnetwork ot de isgn a e
ll o rt n o
c r rf o vibraiton dampe .r eT h problem si t hat a tfer et h acceleraiton fo et h body da en t h n
o is n e p s u
s fo et h dynamic rtavel have been improved, et h dynamic load fo et h wheel sh a .
d e t a r o ir e t e d
n
I sit h pape,r na aritifcialintelilgencelearningmethodbased no t eh combinaiton fo neuralnetwork d
n
a geneitcalgortihm si proposed. eT h in lfuenceparameters fo dampingforce fo shockabsorber ea r d
e g n a h
c no et h bassi fo previous attempt ;s memory ad si at b yuitl b u isng neural network ,s a wf e s
r e t e m a r a
p memo ires ea rr ts do e ni et h process fo automob lietes.t eT h neuralnetwork da n geneitc m
h ti r o g l
a ea r combined which provides a method rf eo t h in tsantaneous judgment fo et h comfo tr .t
n e m ts u j d
a Whether heac in tsantaneousjudgment si reasonable ro tn si o judged. fI ti si reasonable, ti n
a
c eb depostied ni et h memory ad at which si rteated sa a wn e memory ot provide a bassi rf eo t h b
u
s sequentin tsantaneousjudgmen.t
s r e t e m a r a
P A ffecitng et Ch omfort fo et C rh a
e h
T comfo tr means tt a ha comfo trable irding envrionment da n convenientoperaiton condiitons h
c i h
w should eb provide yb et .rh c a Comfo trshouldinclude eir d comfor,t ria condiitoningproperites ,
e r u t a r e p m e
t( humidtiy,etc. ,)inteirornosie, irdingenvrionment(acitvespace, et h width fo d doora n ,l
e n n a h
c internalfaciilite ,s e ).t dc a en t h operaitngpefrormance fo et h d irve.r e
li b o m o t u
A suspen ison si na elasitc conneciton between et h vehicle body da en t h wheel .s eT h n
o it c n u
f fo automoblie suspen ison si ot e dase a n resrtain et h vibraiton da n attack caused yb et h n
e v e n
u droa su frac ewhich nc a ensure tt eha t h members da pn shi p edgoods ea nr i goodcondiiton. yB g
n it s u j d
a et h damping force fo et h damper no et h suspen ison, et h rfequency da n vibraiton n
o it a r e l e c c
a fo rc na c ea b adju tsed, nthe et h comfo tr nc ea b changed.Factorsselected yb sit h paper :
e d u l c n
i speed, droa roughnes ,s et h anglebetween droa su frace da n ho irzontald rieciton,sprungmas,s .
c t e
r e d n
U di fferent road condiiton ,s speed, road roughnes ,s et h angle between road su frace da n l
a t n o z ir o
h drieciton da n sprungm eassa br a el ot in lfuence et h adju tsment fo dampingforcemade yb k
c o h
s absorber os tt eha t h comfo tr nc ea b in lfuenced. Comfo tr si represented yb et h frequency fo y
d o
b vibraiton (Thefrequency fo et h bodys'upper da n lowermovemenstwhen et h body si u osed t k
l a
w osh u eldb de isgned ot eb et h naturalfrequency fo vehiclebodyvibraiton, sti frequency si about 0
6 ot 08 itmes rp e minute(1Hz ot 1.6Hz) .) nI sit h pape,rvehiclebodyvibraitonfrequency fo 1.3Hz si t
e
s sa opitmalcomfor.t
e h
T Establsihment fo a Memory Architecture
l a i c if it r
A neural network sh a a ce train adapitveab litiy da n autonomouslearning ablitiy. Neural k
r o w t e
n algortihm ismulates et h neurons which ts eore t h memory yb di tsirbuitng et h memory n
o it a m r o f n
i no et h network layer .s Informaiton proces isng si mainly based no et h cooperaitve g
n is s e c o r
p between di ts irbuted layer .s T he tsudy fo arit ifcial neural network mainly includes d
e si v r e p u
s learning da n unsupervsied learning: eT h formerclas isifes da n modesl ni a given range; d
n
a et h latter sh a a ce train ale rningablitiy, ti nc a dsicoverpotenitalrules fo ht e externalsy tsem da n n
r a e l .ti
e h
T inputlayer fo λ1 si assumed tt ti ha contains et h number fo 1σ fo neurons(parameters) da en t h
t u p t u
e h
T N- ht hiddenlayer si expressed sa ρ(N) da hn eac neuron fo sit h hiddenlayer si expressed sa ρ(Na,) a�(1,2…n(N) .) eT h di ts irbuiton fo neurons fo neural network layers si shown ni F .ig. 1 eT h
d e r u s a e
m in lfuenceparameters fo dampingforce fo shockabsorber ea r impo tred oi nt networklayer ,s ti means tt eha t h in lfuenceparameters fo dampingforce fo shockabsorber ea r clas isifedaccording ot
e h
t properites fo parametersfrislty, et h parameterswhichhave et h sameproperites ea r di tsirbuted oi nt e
h
t samenetwork laye,rtheseparameterswhich no ew t h sameproperites nc ea b tsored as neuron .s e
h
T memoryarchtiecture nc ea b b nuitli et yh w a tsatedabove.
F gi u 1. ere T h di tsirbuiton fo neurons fo neuralnetworklayers.
h c a
E neuron sh a isngleoutputattirbute ni et h drieciton fo et h inputinformaiton. eO n neuron sh a a n
o it c e n n o
c weight ot a neuron fo n extnetworklaye.r rF a o neuron, sti input nc ea b expressed :sa
1 0 m
p i p
p ω µ
− =
∑
. (1)st
I output nc ea b expressed :sa
1
0 )
(
f mp p ip
y=
∑
=− ω µ −θ . ( 2)si et h connecitonweightbetween et p- hh t neuro fno et i- hh t networklayer da en t h targetneuron, si et h input fo et p- hh t neuron fo et i- hh t network layer fo et h target neuron, si et h internal
d l o h s e r h
t da f n functi si eon t h acitvaitonfunciton. e
h
T output nc ea b expressed sa following:
1 0 1 0
,1 ,1
m p i p p
m p i p p
fi y
fi y
θ µ ω
θ µ ω
− = − =
= ≥
− =
∑
∑
< . ( 3)e h
T proces isngprocedure si shown ni .F :ig 2
g
i
F u 2. ere T h proces isngprocedure fo input fo et h targetneuron. g
n i d r o c c
A ot et h input da n output modesl tsated above, et h method fo memory ts nore c ea b d
e n i a t b
o which oa sl means t ehat t h conneciton stiuaiton among neurons nc ea b expressed w tih .s
l e d o
m Assuming tt eha o fn o et h parameters fo et h uppernetwork layer ea r connected w tih some k
r o w t e
e h
t isgnasl ea r expressed sa - .1 Dfiferent types fo in lfuenceparameters fo dampingforce fo shock r
e b r o s b
a nc ea b rts do e ni differentnetworklayer .s
e h
T Appilca iton fo Geneitc Algortihm
e h
T geneitcalgortihm nc ea b appiled ni sit h pape.r eT h in lfuenceparameters fo dampingforce fo k
c o h
s absorber ea r produced when et h vehicle si running, which ea r di tsirbuted ni differentneural k
r o w t e
n layer .s sA rf o eachneuralnetworklaye,reach etyp fo parameters co rresponds ot a network ,r
e y a
l da n different ap rameters fo eo en typ co rrespond ot differentneuron .s eT h in lfuenceparameters f
o dampingforce fo shockabsorberneed ot eb compared hw eti t h o irginalparameters fo heac neural k
r o w t e
n layer eo yn b o ene.T h m ain ts fepso implementaiton ea sr a following: )
1
( eT h networklayer fo et h in lfuenceparameters fo dampingforce fo shockabsorbershould eb ,
d e n i m r e t e
d da n theseparameters ea r hypothe iszed sa χ( 1, χ2. χ.. n.) When determining et h network
r e y a
l rf o parameter ,s et h inputlayer da n outputlayershould eb confrimedfrislty.Assuming tt eha t h s
r e t e m a r a
p λ1 a λnd 2 co rrespond ot et h input layer da n output laye,r respecitvely. eT h in lfuence
s r e t e m a r a
p of dampingforce fo shockabsorber fo et h inputlayer nc ea b determineda tfer et χh 1, χ2. ..
χnbeingmapped ot λ1 o yneb o fI ne. there si a parameterbelongs ot eo fn o χ1, χ2. χ.. n which si et h same
e p y
t fo parameter sa λ1 ,then et h mapping process w eillb tsopped. Otherwsie, et h process w eill b
. d e u n it n o
c eT h outputlayer si processed yb et h sameway. )
2
( Atfer et h input layer da en t h output layer being determined, et h parameters χa, χb a re
d e z is e h t o p y
h sa et h parameterswhichhave et h same etyp hw λti 1,λ2,respecitvely (Hypothessi: a<b),
o
s et h network layer fo et tsh r e parameters χ( 1, χ2. χ.. a-1, χa+1. χ.. b-1, χb+1...χn) need ot eb confrimed.
g n is
U et h mappingmethodabove ni pts ,)e ( e1 t h networklayerdi tsirbuiton fo et h parameter fo χ nc a e
b ensured. fI χi sin otbelong ot ya n o irginalnetworklaye,r et h parameter fo χi w eillb processed sa a
w e
n hidden layer which w eill b recorded ni et h neural network memory atfer et h compleiton fo g
n i w o ll o
f tsep .s )
3
( eT h geneitcalgortihm si mainlyu nsedi et h op itmal selecitonatfermapping da n conrtas.t μ( i1,
μi2. μ.. im)a rehypothe iszed sa et h actualparameters fo et h networklayer fo χi, da ti n represenst et h
e t e r c n o
c numbe.rA tfer et h networklayer fo χi beingdetermined, χi needs ot eb mapped hw μti ( i1, μi2. ..
μim) eo yn b o ne.T hsiprocess nc ea b expressed sa et h seleciton fo geneitcalgortihmwhichmeans tt ha
χi sipariedw μtih ( i1, μi2. μ.. im) respecitvely. eT h conrta tsresutlatfer et h paiirng nc ea b regarded sa
r e v o s s o r
c operaiton. eT h ismlia irites fo χi dan μi1, μi2. μ.. im ea r needed ot eb compared. fI χi� f(1(μip,)
f2(μip) χ,) i da μn ip ea r regarded sa ismlia.r μip�(μi1, μi2. μ.. im) da p si en t h grade fo a paramete .r f1( μ)
d n
a f2( eμ)a er t h conrta tsfuncitonswhich ea dr u nse i et h con rta ts fo χi da μn i p. fI χi sin otbelong ot ya n
l a n i g ir
o network al y sie,rt ph ts lle w ei b skipped. )
4
( According ot et ph ts ,)e ( 3 atfer et h in lfuenceparameters fo dampingforce fo shockabsorber ,( χ1 ..
. 2
χ )χ n being co rresponded ot et h network layers ythe belong, these parameters ea r mapped w tih g
n it si x
e parameterswhich ea nr i et h o irginalnetwork layers eo yn b eo , n respecitvely. fI there si ta ts
a e
l eo n parameter fo ( χ1, χ )2... χ n belongs ot na o irginal network laye,r tb ti u d toesn o m eeett h :
n o it i d n o
c iχ�f(1(μip ,) f2(μip )), et wh n e aciton fo ( χ1, χ )2... χ n cannot eb judged yb exrtacitng r
a li m
is informaiton mfro et h o irginalmemory.Here, there si a er ul followed yb sit h paper: fi iχ� ,)
p i μ ( 3
f( f4(μip),) f(1(μip ,)f2(μip ))�f(3(μip ,)f4(μip )) da pn μ si ei t sh imliarparamete.r fI χi (f3(μip ,) )
p i μ ( 4
f , et h serach shoul ed b conitnued. fI iχ�(f5(μip ,)f6(μip ,)where (f3(μip ,)f4(μip))�(f5(μip ,) )
p i μ ( 6
f , pμ si ei t h ismliarparameter da p si n uncetrainquanttiy.T hesearchprocess llw ei b conitnued u lin it χ�( xf -1(μip ,)fx(μip) si found,atfertha,t sit ph ts ne c ea b tsopped.
) 5
( fI ya χn i in(χ1, χ2. χ.. n) lla satsify et h condiiton tt χha i� f(x-1(μip ,) fx(μip,) where i represenst et h
k r o w t e
n layer da p n represenst et h grade fo a paramete,r os μip da χn i a reregarded sa ismliar in et h
e m a
s network laye.r Simlia lry,there si na o irginalparameterwhich nc ea b found ni each network r
e y a
l rf χo i. According ot et h o irginalmemoryroute fo μ( 1p1, μ2p2. μ.. kpn,) et h aciton fo et h in lfuence
s r e t e m a r a
n o it c
a si et h same sa et h aciton fo μ( 1p1, μ2p2. μ.. kpn.) Where ,p 1 p2…pn ea er t h ismliarparameters fo
h c a
e networklayer da k si n represenitng et h totalnumber fo networklayer .s )
6
( A tfer et th aci onbeingcompleted, fi et h effectwhich si produced yb et h aciton si ni eil hn w eti t h ,
d r a d n a
ts et h memory fo et h in lfuenceparameters fo dampingforce fo shockabsorber fo χ( 1, χ2. χ.. n)
n a
c eb rteated sa effecitvememorywhich si ea obl t eb recorded ni et h neuralnetwork.T h siaciton fo χ
( 1, χ2. χ.. n) si et h same sa et h aciton fo μ( 1p1, μ2p2. μ.. kpn.) fI et h effectwhich si produced yb et h aciton
si tn no i eil hn w eti t h tsandard, sit h memory llw ei b recorded ot anotherneuralnetwork. If et h vehicle y
d o
b vibraiton frequencyfalsl ni 1.0Hz-1.6Hz, et h aciton si reasonable;otherwsie, et h aciton si tn o .
e l b a n o s a e r
e h
T mappingprocess si shown ni Fig.3.
g
i
F u 3. ere T h schemaitcdiagram fo et h mappingprocess.
h t w o r
G ni Memory D aa t
, d e e p
S droa roughnes ,s et h anglebetween droa su frace da n ho irzontaldrieciton da n sprungm ass e
r
a expressed sa ,v ,q r da .n m v( 1-v2 ,) q( 1-q2,) r(1-r2,) m( 1- )m n2 c a guarantee et h indicatorsexcept
tr o f m o
c ea r wtihin et h normalrange.Adjusitng et h parameterswhichmakes v�(v1, v2 ,) q�(q1, q2,)
r� r(1, r2,) m�(m1, m2,) nthe a group fo dampingforceadju tsment ad nat c ea b obtained. sA si tsated
, e v o b
a et h micro-computer ni et rh c a assesses et h effect fo execu iton fo acitonatfer et h acitonbeing .
e n o
d eT h vibraiton frequency fo et h vehicle body si obtained yb et h senso ,r da en t h 1.3Hz si d
e r a p m o
c hw eti t h frequencygained. fI ti si between z1 dH a n 1.6Hz, ti meest ro exceedsexpectaiton ,s e
h
t memory nc ea b recorded ni et h neural network sa wn e memory. tI means t ehat t h aciton is e
l b a n o s a e
r da ti nn c ea b saved sa wn e memory."Datagrowth"means et h growth fo memorydata, da n si
h
t memory llw ei b et h reference of r et h judgment fo lateraciton. n
I et h appilcaiton fo et h geneitcalgortihm, fi there ea er o rn o m oreactualparameters of χ( 1, χ2. χ.. n)
h c i h
w ea tr n o co rresponding ot ya n exsiitngnetworklaye,r et wh n e networklayer si necessary ot eb .t
li u
b Before a wn e memory si buli,t et h acitonshould eb executedeventhough eo rn o m oreactual s
r e t e m a r a
p ea tr n o co rresponding ot ya en xsiitngnetworklaye.r tA sit h itme, et h aciton nc ea b ts :se a e
h
t parameter fo χ which si tn o co rresponding ot ya n exsiitngnetwork layer si removed, da n other s
r e t e m a r a
p w eill b co rresponding ot et h o irginal parameters fo network layers according ot et h d
o h t e
m tsatedabove. eT h aciton fo χ( 1, χ2. χ.. n) si con is tsent hw eti t h aciton fo o irginalparameters fo
k r o w t e
n layer .sThere si a problem tt eha t h parameter fo χ which si tn o co rresponding ot ya n exsiitng k
r o w t e
n layer si tn no i et h o irginalmemory ad , oat s et h raitonaltiy fo et h aciton need ot eb judged r
e tf
a et h aciton sh a beenexecuted. fI et h aciton si ni eil hn w eti t h tsandardatfer ti sh a beenexecuted, ti nc ea b collected ni et h memorydata. fI et h aciton si tn no i eil hn w eti t h tsandardatfer ti sh a been
, d e t u c e x
e r e h
T si a conitnuousproblem fo aciton: A aciton nc ea b produced ni a momen,t os ti si ts te t ha e
r e h
t si yo enl o n in tsantaneousacitonproduced ni et h it fmeo ,λ da a n completeadju tsmentprocess d
e e
n ot eb combined hw ti manyin tsantaneousaciton .sAtfer et h wholeadju tsmentprocess sh a been e
n o
d reasonably, lla in tsantaneousacitons ea r analyzed da n processed, da en t h in tsantaneousacitons h
c i h
w ea r irraitonal llw ei b eilminated da n otherin tsantaneousacitons liw l eb tsored ni et h memory .
a t a d
y r a m m u S
n
I sit h pape,r et h neural network algortihm da n geneitcalgortihm ea r inrtoduced frislty. Then et h s
e h c r a e s e
r fo scholars no et h intelilgentsuspen ison ea r elaborated. nI order ot improve et h comfo tr fo e
h
t smatr c a wa ,r n e intelilgent conrtol scheme fo suspen ison si proposed. Autonomic learning n
o it c n u
f fo neuralnetwork algortihm si used.A tfer et h geneitcalgortihm si uitilzed ot opitmize, et h n
o it c
a fo vehicle nc ea b judged da nn the et h memory ad nat c ea b increased. eT h analyssishows tt ha d
o o
g comfo tr nc ea b provided yb u isngneuralnetworkalgortihm ot con rtol et h vibraiton fo et h shock r
e b r o s b
a a tferrepeated tsudy.
t n e m e g d e l w o n k c A
s k n a h
T ea er d ou t G iu ek eS n dh a n Xuan iL re f o as is tsance da n valuabledsicus ison.
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