JournalofChromatographyB,868(2008)70–76
ContentslistsavailableatScienceDirect
JournalofChromatographyB
journalhomepage:/locate/chromb
DevelopmentandvalidationofahighlynsitiveandrobustLC–MS/MS
withelectrosprayionizationmethodforsimultaneousquantitationof
itraconazoleandhydroxyitraconazoleinhumanplasma:
Applicationtoabioequivalencestudy
Bharathia,b,KishoreKumarHothab,agarb,SanagapatiSirishKumarb,
PanduRangaReddyb,,RameshMullangic,∗
aDepartmentofChemistry,JawaharlalNehruTechnologicalUniversityKukatpally,Hyderabad500072,India
bBioanalyticalDepartment,IntegratedProductDevelopment,’sLaboratoriesLtd.,Bachupalli,Hyderabad500072,India
cBiopharmaceuticsDepartment,IntegratedProductDevelopment,’sLaboratoriesLtd.,Bachupalli,Hyderabad500072,India
articleinfo
Articlehistory:
Received23January2008
Accepted17April2008
Availableonline25April2008
Keywords:
Itraconazole
Hydroxyitraconazole
Humanplasma
Methodvalidation
LC–MS/MS
Pharmacokinetics
Humans
abstract
AhighlynsitiveandspecificLC–MS/MSmethodhasbeendevelopedforsimultaneoustimationof
itraconazole(ITZ)andhydroxyitraconazole(OH-ITZ)with500Lofhumanplasmausingfluconazoleas
aninternalstandard(IS).TheAPI-4000LC–MS/MSwasoperatedunderthemultiplereaction-monitoring
mode(MRM)haextractionprocesswasudto
extractITZ,alruntimewas3.0minandtheelutionofITZ,
OH-ITZandISoccurredat2.08min,1.85minand1.29min,respectively;thiswasachievedwithamobile
phaconsistingof0.2%(v/v)ammoniasolution:acetonitrile(20:80,v/v)ataflowrateof0.50mL/minon
aHyPurityC
18
(50mm×4.6mm,5m)elopedmethodwasvalidatedinhumanplasma
withalowerlimitofquantitationof0.50ng/rresponfunctionwas
establishedfortherangeofconcentrations0.5–263ng/mL(r>0.998)ra-
andinter-daypOH-ITZ
werestableinthebatteryofstabilitystudies,viz.,bench-top,auto-sampler,dryextractandfreeze/thaw
elopedassaymethodwasappliedtoanoralbioequivalencestudyinhumans.
©htsrerved.
uction
Itraconazole(ITZ,CASno.84625-61-6,Sporanox)isanorally
activetriazoleantifungaldrugwithabroadspectrumactivity
hanismofactionis
inhibiting14-alpha-demethyla,acytochromeP
450
enzymethat
catalysthesynthesisofergosterol,amajorcomponentofcell
membraneofyeastandfungalcells[1,2].Followingoralabsorp-
tion,itixtensivelymetabolizedbysidechainhydroxylation(by
CYP3A4)toformhydroxyitraconazole(OH-ITZ).OH-ITZ,whichis
themajormetabolite,isbiologicallyactiveanditsplasmaconcen-
trationistwofoldhigherthanparentatsteadystate[3].
FewmethodshavereportedforthequantitationofITZ[4]or
ITZandOH-ITZ[5]usingLC–thereareonlyfewbioan-
alyticalmethodsusingLC–MS/MSreportedforthesimultaneous
estimationofITZandOH-ITZ[6,7].Vogeretal.[6]havereported
∗
.:+9;fax:+9.
E-mailaddress:mullangiramesh@(gi).
anautomatedSPEmethodforsamplesprocessingwithalower
limitofquantification(LLOQ)of10ng/mLforbothITZandOH-ITZ.
Kousoulotal.[7]havereportedaLLOQof2ng/mLand4ng/mL
forITZandOH-ITZ,respectivelyinhumanplasmabyusingauto-
wearereporting
ahighlynsitiveandruggedLC–MS/MSmethod,whichhasover-
comethedrawbacksofthepreviouslyreportedmethods,viz.,usage
ofautomatedmethodsandenabledustogetareproducibleLLOQof
0.5ng/mL(fourfoldandeightfoldlessthanpreviouslyreportedlow-
estLLOQforITZandOH-ITZ,respectivelybyKousoulotal.[7])for
bothITZandOH-ITZandapplicationofthismethodtoabioequiv-
alencestudyinhealthyvolunteersfollowingoraladministrationof
100mgITZcapsule.
mental
alsandreagents
ITZwasobtainedfromNeulandLaboratories,Hyderabad,
-ITZwasobtainedfromSyncom,ATGroningen,The
1570-0232/$–efrontmatter©htsrerved.
doi:10.1016/b.2008.04.029
hietal./togr.B868(2008)70–7671
azole(IS)wasobtainedfromUnit-II,Dr.
Reddy’sLaboratoriesLtd.,compoundswere
foundtobe>98.5%puritydeterminedbychromatographic(HPLC,
LC–MS/MS)adeofacetonitrile;analyticalgrade
30%(v/v)ammoniaandhydrochloricacidwerepurchadfrom
.,Mumbai,eoussolutions
includingthebufferforthemobilephawerepreparedwithMilli
Q(Millipore,Milford,MA,USA)trolK2EDTA
humanplasmawaspurchadfromCauveryDiagnosticsandBlood
Bank,Secunderabad,India.
mentationandchromatographicconditions
AnAgilent(AgilentTechnologies,Waldbronn,Germany)1100
riesLCsystemequippedwithdegasr(G1322A),isopump
(G1310A)alongwithauto-sampler(G13167B)wasudtoinject
20-LaliquotsoftheprocesdsamplesonaHyPurityC
18
column(4.6mm×50mm,5m,ThermoElectronCorporation,
Cheshire,UK),whichwaskeptatroomtemperature(24±2
◦
C).
Theisocraticmobilepha,amixtureof0.2%(v/v)ammoniaand
acetonitrilemixture(20:80,v/v)wasdeliveredat0.50mL/min
intothemassspectrometer’lectrosprayionizationcham-
ber.
QuantitationwasachievedbyMS/MSdetectioninpositiveion
modeforbothITZandOH-ITZandIS,usingaMDSSciex(Foster
City,CA,USA)API-4000massspectrometer,equippedwitha
TurboionsprayTMinterfaceat400
◦
sprayvoltagewast
monparameters,viz.,nebulizergas,curtaingas,
auxillarygasandcollisiongasweretat30psi,10psi,40psiand
5psi,poundparameters,viz.,declustering
potential(DP),collisionenergy(CE),entrancepotential(EP)and
collisionexitpotential(CXP)were124V,48V,10V,14VforITZ;
120V,49V,10V,12VforOH-ITZand65V,25V,10V,15VforIS.
Detectionoftheionswasperformedinthemultiplereaction-
monitoring(MRM)mode,monitoringthetransitionofthem/z
705.3precursoriontothem/z392.3forITZ,m/z721.4precursor
iontothem/z408.3forOH-ITZandm/z307.0precursorionto
them/polesQ1andQ3weret
lyticaldatawereprocesdbyAnalyst
software(Version1.4.2).
rdsolutions
PrimarystocksolutionsofITZandOH-ITZforpreparationof
standardandqualitycontrol(QC)sampleswerepreparedbyweigh-
marystocksolution(1.00mg/mL)ofITZand
OH-ITZandISwerepreparedinmethanolandstoredat−20
◦
C,
whichwerefoundtobestablefor1month(datanotshown).
AppropriatedilutionsweremadeinmethanolforITZandOH-
ITZtoproduceworkingstocksolutionsof26.4g/mL,23.2g/mL,
19.7g/mL,12.8g/mL,3.84g/mL,1.34g/mL,0.25g/mL,
0.10g/mLand0.05g/mLonthedayofanalysisandthestocks
wereudtopreparecalibrationcurve(CC).Anothertofworking
stocksolutionsofbothITZandOH-ITZweremadeinamix-
tureof0.1NHCl:methanol(30:70,v/v)(fromprimarystock)at
23.3g/mL,12.8g/mL,1.41g/mLand0.05g/mLforprepa-
gstocksolutionswere
storedatapproximately5
◦
Cforaweek(datanotshown).Indi-
viduallystockQCandCCtwo-in-oneworkingsolutionsofITZand
OH-ITZweremadebeforespikingintoQCandCCsamplesaccord-
ngISsolution(300ng/mL)wasalsopreparedin
ationsampleswerepreparedbyspiking490L
ofcontrolhumanplasmawiththeappropriateamountofana-
lytes(10L)andIS(50L)sforthe
determinationofrecovery,precisionandaccuracywereprepared
byspikingcontrolhumanplasmainbulkatappropriateconcen-
trationsand500Lvolumeswerealiquotedintodifferenttubes
anddependingonthenatureofexperimentsampleswerestored
at−80±10
◦
Cuntilanalysis.
preparation
Toanaliquotof500Lhumanplasmasample,ISsolution
(50L)wasadded;dilutedwith500LofMilliQwaterandvor-
texmixedfor30sonacyclomixer(RemiInstruments,Mumbai,
India).Thissamplemixturewasloadedonpre-conditioned(1mL
acetonitrilefollowedby1mLwater)OasisHLBcartridges(1cm3,
30mg)andwashedwith0.5mLwaterfollowedby1mL10%ace-
tonitrileinwaterandfinallyelutedwith1mLofmobilepha.
Fromtheeluate20LwasdirectlyinjectedontoLC–MS/MSsys-
tem.
validation
Themethodwasvalidatedtomeettheacceptancecriteria
ofindustrialguidanceforthebioanalyticalmethodvalidation
[8].
Thespecificityofthemethodwasdeterminedbyanalyzingsix
differentbatchesofhumanplasmaasis,todemonstratethelack
ofchromatographicinterferencefromendogenousplasmacom-
spikedstandardsandQCsamples(n=6ateach
concentration)werepreparedandanalyzedonfourdifferentocca-
sionstoevaluatelinearity,ionand
accuracywasalsoassdatthelowestconcentrationofthestan-
dards(0.5ng/mL),reprentingtheLLOQfortheassay.
TherecoveryofITZ,OH-ITZandISwasdeterminedbycom-
paringtheresponsoftheanalytextractedfromreplicate
QCsamples(n=6)withtheresponofanalytesfrompost-
extractedplasmastandardsampleatequivalentconcentrations
[9].Recoverywasdeterminedatlow,midandhighqualitycon-
trolconcentrations,whereastherecoveryoftheISwasdetermined
atasingleconcentrationof300ng/ectofplasma
constituentsovertheionizationofanalytesandISwasdeter-
minedbycomparingtheresponsofthepost-extractedplasma
standardQCsamples(n=6)withtheresponofanalytesfrom
neatsamplesatequivalentconcentrations[9,10].Matrixeffect
wasdeterminedatLLOQforITZandOH-ITZandforISat
300ng/mL.
ThestabilityofanalytesandISintheinjectionsolventwasdeter-
minedperiodicallybyinjectingreplicatepreparationsofprocesd
samplesupto18h(inauto-sampler)
peakareasoftheanalytesandISobtainedatinitialcyclewereud
asthereferencetodeterminetherelativestabilityoftheanalytes
ityofanalytesinthebiomatrixafter
10hexposureinanicebath(bench-top)wasdeterminedattwo
rstabilityoftheanalytes
inbiomatrixwasassdbyanalyzingtheQCsamplesstoredat
−80±10◦
bilityofanalytesinbiomatrix
followingrepeatedthreefreeze/thawcycles(storedat−80±10
◦
C
betweencycles)wasassdusingQCsamplesspikedwithana-
swereprocesdasdescribedunderSection2.4.
Sampleswereconsideredtobestableifassayvalueswerewithin
theacceptablelimitsofaccuracy(i.e.,±15%S.D.)andprecision(i.e.,
15%R.S.D.)[8].
cokineticstudy
Abioequivalencestudywasperformedinhealthymalesubjects.
Theethicscommitteeapprovedtheprotocolandthevolunteers
ampleswere
hietal./togr.B868(2008)70–76
lMRMchromatogramsofITZ(leftpanel)andIS(rightpanel)in(a)humanblankplasma(b)humanplasmaspikedwithITZatLLOQ(0.50ng/mL)andIS(c)a
3.0-hplasmasampleshowingITZpeak(46.9ng/mL)obtainedfollowingoraldoofITZcapsuletohealthyvolunteeralongwithIS.
obtainedfollowingoraladministrationof100mgofITZcapsule
intopolypropylenetubescontainingK2EDTAsolutionasananti-
coagulantatpre-do,1h,2h,3h,4h,5h,6h,7h,8h,9h,10h,12h,
24h,36h,washarvestedbycentrifugingthe
bloodusingBiofuge(Hereaus,Germany)at1760×gfor5minand
storedfrozenat−80±10
◦
Cuntilanalysis.
Analiquotof500Lofthawedplasmasampleswerespiked
ith
hietal./togr.B868(2008)70–7673
lMRMchromatogramsofOH-ITZ(leftpanel)andIS(rightpanel)in(a)humanblankplasma(b)humanplasmaspikedwithOH-ITZatLLOQ(0.50ng/mL)and
IS(c)a3.0-hplasmasampleshowingOH-ITZpeak(62.8ng/mL)obtainedfollowingoraldoofITZcapsuletohealthyvolunteeralongwithIS.
studysamples,QCsamplesatlow,mediumandhighconcentration
wereassayedinduplicateandweredistributedamongunknown
teriaforacceptanceoftheana-
lyticalrunncompasdthefollowing:(i)notmorethan33%of
theQCsamplesweregreaterthan±15%ofthenominalconcentra-
tionand(ii)notlessthan50%ateachQCconcentrationlevelmust
concentration–timedataof
ITZandOH-ITZwasanalyzedbynon-compartmentalmethodusing
WinNonlinVersion5.1(PharsightCorporation,MountainView,CA,
USA).
hietal./togr.B868(2008)70–76
Table1
Intra-andinter-dayprecisiondeterminationofITZandOH-ITZqualitycontrolsinhumanplasma
Theoreticalconcentration(ng/mL)RunMeasuredconcentration(ng/mL)(ITZ)Measuredconcentration(ng/mL)(OH-ITZ)
cy(%)cy(%)
Intra-dayvariation(sixreplicatesateachconcentration)
ITZ:0.51,OH-ITZ:0.49
10.530.024.601040.490.0715.099.4
20.500.023.8698.40.480.059.3798.4
30.540.047.441050.440.036.9790.5
40.520.024.561020.480.047.5297.7
Average0.520.035.121020.470.059.7296.5
ITZ:1.41,OH-ITZ:1.37
11.310.064.2992.81.450.042.90106
21.320.042.6693.81.350.043.0198.4
31.250.043.5788.91.280.107.8493.4
41.360.043.0296.21.390.085.77101
Average1.310.053.3992.91.370.074.8899.7
ITZ:128,OH-ITZ:125
11173.843.2891.21134.183.7190.4
21243.843.0997.01155.805.0692.1
31206.555.4493.91144.804.2191.4
41231.741.4195.91182.782.3694.6
Average1213.993.3194.51154.393.8492.1
ITZ:233,OH-ITZ:226
12198.673.9594.01944.642.3986.5
223511.04.671012015.872.9288.7
32337.563.241002115.052.3993.4
424716.66.7310623911.04.77101.9
Average23411.04.651002116.643.1292.6
Inter-dayvariation(18replicatesateachconcentration)
ITZ:0.51,OH-ITZ:0.490.520.046.801030.480.0611.598.7
ITZ:1.41,OH-ITZ:1.371.270.075.1990.21.380.1410.3101
ITZ:128,OH-ITZ:1251185.364.5292.31144.443.9091.5
ITZ:233,OH-ITZ:2262248.653.8696.22134.552.1494.0
R.S.D.:relativestandarddeviation(S.D.×100/mean).
s
development
pre-treatment
Differentmethodsofsamplepre-treatmentwereinvestigated.
Proteinprecipitationandliquid–liquidextractionwithvarious
organicsolventsandtheirmixturesresultedinnon-reproducible
recoveriesandinterferencesfromthesamplematrixwiththechro-
matographyoftheanalytes(datanotshown).Subquently,SPE
wasinvestigatedassamplespre-treatmenttechnique,whichhas
alsobeenudbyotherinvestigators[6,7].Followingoptimization
ofvarioustypesofSPEsandveraldilution,conditioning,washing
andelutionreagents,wehavefinallylectedOasisHLBcartridges
(1cm3,30mg)spre-conditioned(1mLace-
tonitrilefollowedby1mLwater)werewashedwith0.5mLwater
followedby1mL10%acetonitrileinwaterandfinallyelutedwith
iluatewasdirectlyinjectedinto
theLC–MS/MSsystem.
chromatography
Inpursuitofsymmetricpeakshapeandretentiontimeof
∼3.0min,feasibilityofvariousmixture(s)ofsolventssuchasace-
tonitrileandmethanolusingdifferentbufferssuchasammonium
acetate,ammoniumformateandformicacidwithvariablepH
rangeof4.0–7.0,alongwithalteredflowrates(intherangeof
0.3–1.0mL/min)weretestedforcompletechromatographicreso-
lutionofITZ,OH-ITZandIS(datanotshown).Theresolutionof
peakswasachievedwith0.2%(v/v)ammoniaandacetonitrilemix-
ture(20:80,v/v)withaflowrateof0.5mL/min,onaHyPurity
C
18
columnandwasfoundtobesuitableforthedeterminationof
electrosprayresponforITZ,OH-ITZandIS.
ectrometry
InordertooptimizeESIconditionsforITZ,OH-ITZandIS,
quadrupolefullscanswerecarriedoutinpositiveiondetection
adirectinfusionexperiment,themassspectraforITZ,
OH-ITZandISrevealedpeaksatm/z705.3,721.4and307.0,respec-
tivelyasprotonatedmolecularions[M+H]+.Followingdetailed
optimizationofmassspectrometryconditions(providedinSection
2.2)m/z705.3precursoriontothem/z392.3andm/z721.4precur-
soriontothem/z408.3wereudforquantificationforITZand
OH-ITZ,rly,forISm/z307.0precursoriontothe
m/z220.1wasudforquantificationpurpo.
ficityandlectivity
Atypicalchromatogramforthecontrolhumanplasma(freeof
analyteandIS)andhumanplasmaspikedwithITZandOH-ITZat
LLOQalongwithISareshowninFigs.1and2,
interferingpeaksfromendogenouscompoundsareobrvedatthe
entiontimeofITZ,OH-ITZ
andISwere2.08min,1.85minand1.29min,al
chromatographicruntimewas3.0min.
ry
Recoverywasfoundtobe84.37±2.81,79.53±5.07and
75.54±2.92atLQC,MQCandHQC,respectivelyforITZ;
93.06±2.10,88.08±6.93and85.56±2.73atLQC,MQCandHQC,
hietal./togr.B868(2008)70–7675
Table2
StabilitydataofITZandOH-ITZqualitycontrolsinhumanplasma
Nominal
concentration
(ng/mL)
StabilityITZOH-ITZ
Mean±=6(ng/mL)Accuracy(%)bPrecision
(%CV)
Mean±=6(ng/mL)Accuracy(%)bPrecision
(%CV)
ITZ:
1.41,
OH-
ITZ:
1.37
0h(forall)1.36±0.0496.23.031.39±0.081015.78
3rdfreeze/thaw1.35±0.0595.43.721.38±0.111004.77
10h(bench-top)1.27±0.0789.95.681.48±0.091085.91
18h(in-injector)1.47±0.061044.351.45±0.081065.63
15daysat−80
◦
C1.27±0.0990.57.271.37±0.1710012.1
ITZ:
233.22,
OH-
ITZ:
26.36
0h(forall)246±16.61056.73230±10.91014.77
3rdfreeze/thaw231±13.399.35.78220±10.497.44.72
10h(bench-top)221±10.495.04.73226±4.8796.92.22
18h(in-injector)249±22.51069.03210±12.393.05.86
15daysat−80
◦
C227±1.4897.40.65210±1.9993.10.94
aBack-calculatedplasmaconcentrations.
b(Meanassayedconcentration/meanassayedconcentrationat0h)×100.
nrecoveryforITZandOH-ITZwas
foundtobe79.81±4.42and87.23±6.29,ov-
eryofISwas86.70±2.95%.
effect
Inthisstudy,thematrixeffectwavaluatedbyanalyzingLLOQ
ematrixfactorvalues(matrixfactor=respon
ofpost-spikedconcentrations/responofneatconcentrations)
obtainedforITZandOH-ITZwere+1.13(CV6.72%,n=6)and+1.07
(CV3.20%,n=6),respectivelyatLLOQlevel,whereasonISitwas
foundtobe+0.99(CV0.78%,n=6)%attestedconcentrationof
300ng/effectwasnotobrvedatanalytesandISreten-
tiontimes.
ationcurve
Theplasmacalibrationcurvewasconstructedusingcalibration
standardsof0.5–263.63ng/mLand0.49–255.88ng/mLforITZand
OH-ITZ,ationcurvewaspreparedbydetermin-
asmaconcentration–timeprofileofITZandOH-ITZinhumanplasma
followingoraldosingof100mgITZcapsuleto24subjects.
ingthebestfitofpeakarearatios(peakareaanalyte/peakarea
IS)versusconcentration,andfittedtothey=mx+cusingweighing
factor(1/X2).Theaverageregression(n=4)forITZandOH-ITZwas
foundtobe≥0.998and0.997,estconcentra-
tionwiththeR.S.D.<20%wastakenasLLOQ[8]andwasfoundto
be0.50ng/%accuracyobrved
forthemeanofback-calculatedconcentrationforfourlinearities
waswithin94.17–105.02%,and93.94–103.21%forITZandOH-ITZ,
cision(%CV)valuesrangedfrom0.98%to4.68%
and1.06%to8.81%forITZandOH-ITZ,respectively.
ionandaccuracy
Theaccuracy,intra-andinter-assayprecisionwhichwas
determinedbyanalyzingsixreplicatesofQCsamplesatfourcon-
centrationsonfourdifferentdaysareshowninTable1.
ity
ThepredictedconcentrationsforeachanalyteatLQCandHQC
samplesdeviatedwithin±15%ofthenominalconcentrationsin
abatterofstabilitytests,viz.,in-injector(18h),bench-top(10h),
repeatedthreefreeze/thawcyclesandat−80±10
◦
Cforatleastfor
15days(Table2).Theresultswerefoundtobewithintheassay
variabilitylimitsduringtheentireprocess.
cokineticstudy
Theprentmethodwasappliedtotheanalysisofplasmasam-
plesobtainedfrom24healthyhumanvolunteersfollowingoral
administrationof100mgofITZcapsuleasapartofbioequiva-
sitivityandspecificityoftheassaywerefound
tobesufficientforaccuratelycharacterizingtheplasmapharma-
.3depictsthemean
plasmaconcentrationversustimeprofileofITZandOH-ITZin
ingtheoraladministrationof100mgof
ITZcapsule(testandreferenceformulations)tovolunteers,the
meanmaximumplasmaconcentrations(C
max
)forITZ(45.75ng/mL
and49.94ng/mLfortestandreferenceformulations,respectively)
wereattainedat∼4h(T
max
)forbothtestandreferenceformu-
stheC
max
valuesforOH-ITZwere105ng/mLand
117ng/mLfortestandreferenceformulations,respectivelyandthe
T
max
wasfoundtobe∼5hand∼6hfortestandreferencefor-
mulation,f-life(t
1/2
)ofITZandOH-ITZwas
foundtobe∼29hand14h,respectivelyinbothreferenceandtest
hietal./togr.B868(2008)70–76
theAUC
(0–∞)
valuesfortestandreferencefor-
mulationswerefoundtobe699ngh/mLand798ngh/mL,whereas
forOH-ITZthevalueswere2347ngh/mLand2801ngh/mLfortest
andreferenceformulations,respectively.
sion
SofartherewereonlytwoLC–MS/MSmethods[6,7]published
forthesimultaneousdeterminationofITZandOH-ITZandthe
reportedlowestLLOQforITZandOH-ITZwas2ng/mLand4ng/mL,
portedmethodshaveutilizedeitherfullyor
mi-automatedsamplepreparationandhandlingprocessusing
homologderivativeofITZasanIS,whichisnotcommerciallyavail-
estofourknowledge,wehavedeveloped
anLC–MS/MSmethodforthedeterminationofITZandOH-ITZ
simultaneously,whichoffersthehighestnsitivity(0.5ng/mL)
comparedtoothermethodsdescribedintheliteratureusingasim-
LLOQreportedbyusisfourfoldandeightfoldlowerthantheearlier
reportedLLOQforITZandOH-ITZ,respectively.
sions
Insummary,wehavedevelopedandvalidatedahighlynsitive,
specificandreproducibleLC–MS/MSassaytoquantifyITZandOH-
eresultsofallthe
validationparameters,wecanconcludethattheprentmethod
canbeufulforbioequivalencestudieswithdesiredprecisionand
accuracy.
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