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Розробка інформаційної технології нелінійної робастної сплайн-обробки даних в системі моніторингу: Автореф. дис… канд. техн. наук / В.М. Остропицьки

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EE?ANUeEEE IIAEIA?IAeIEE OIIAA?NEOAO

OeEAIEUeII? AAIAOeI?

INO?IIEOeUeEEE A?oae?e Ieoaeeiae/

OAeE 519.651.3: 519.689.4

?ic?iaea iioi?iaoeieiI? oaoiieiai?

IAE?I?EII? ?IAANOII? NIEAEI-IA?IAEE AeAIEO

A nenoai? iiiioi?eiao

05.13.06 ( Aaoiiaoeciaaii nenoaie oi?aaeiiiy oa i?ia?aneaii
iioi?iaoeieii oaoiieiai?

Aaoi?aoa?ao aeena?oaoei? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa oaoii/ieo iaoe

Ee?a ( 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia ia eaoaae?i iaoaiaoe/iiai caaacia/aiiy AII
Aeiii?iiao?ianueeiai aea?aeaaiiai oiiaa?neoaoo I?i?noa?noaa ina?oe
Oe?a?ie.

Iaoeiaee ea?iaiee –

aeieoi? oaoii/ieo iaoe, i?ioani? I?ENOAAEA Ieaenaiae? Ieeeiiae/, IAe?
aaieia?? Aei?i?iiao?ianueeiai aea?aeaaiiai oi?aa?neoaoo, aieiaiee
iaoeiaee ni?a?ia?oiee.

Ioioeiei? iiiiaioe:

aeieoi? oaoii/ieo iaoe, i?ioani?, eao?aao Aea?aeaaii? i?aii? Oe?a?ie
IAIAOIA Aieiaeeie? Ieaen?eiae/, EIOOeA, caa?aeoaa/ eaoaae?e;

eaiaeeaeao oaoi?/ieo iaoe, noa?oee iaoeiaee ni?a?ia?oiee

*OI?EI Aieiaeeie? Ieoaeeiae/, Iaoeiai-aeine?aeiee ?inoeooo
aaoiiaoeciaaieo nenoai aoae?aieoeoaa, caa?aeoaa/ eaai?aoi???.

I?iaiaeia onoaiiaa:

Iaoe?iiaeueiee oaoi?/iee oi?aa?neoao Oe?a?ie “Ee?anueeee iie?oaoi?/iee
?inoeooo”, I?i?noa?noai ina?oe Oe?a?ie, i. Ee?a

Caoeno aiaeaoaeaoueny “10” ethoiai 2000 ?. i 14 aiaeeii ia caniaeaiii
niaoeiaeiciaaii? a/aii? ?aaee Ae 26.062.01 i?e Ee?anueeiio
iiaeia?iaeiiio oiiaa?neoaoi oeeaieueii? aaiaoei? ca aae?anith: 03058,
i. Ee?a-58, i?iniaeo Einiiiaaoa Eiia?iaa, 1.

C aeena?oaoei?th iiaeia iciaeiieoeny a aiaeiioaoei Ee?anueeiai
iiaeia?iaeiiai oiiaa?neoaoo oeeaieueii? aaiaoei?.

Aaoi?aoa?ao ?icineaiee “22” a?oaeiy 1999 ?ieo.

A/aiee nae?aoa?

niaoeiaeiciaaii? a/aii? ?aaee

AOCIE I.I.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. I?e ia?iaoe? ?ioi?iaoe?? a nenoaiao iii?oi?eiao
ae??oothoueny ye aeaoa?i?iiaai? caaea/? ia iniia? ??aiyiue iaoaiaoe/ii?
o?ceee (iaoiaeo ne?i/aiieo aeaiaio?a, aa??aoe?eieo caaea/ Eio?), oae ?
noioanoe/i? caaea/? c aeei?enoaiiyi ?i?oaoe?eiiai iiaeaethaaiiy
i?ioean?a oa noaoenoe/iiai ??oaiiy, yea aaco?oueny ia ia?iaoe? ianea?a
noaoenoe/ieo aeaieo.

Caaea/a i?aeaeuaiiy iaae?eiino? a?aeiiaeaiiy caeaaeiinoae oa iiaoaeiae
aaeaeaaoieo iiaeaeae ia iniia? noaoenoe/ieo aeaieo ? aeooaeueiith i?e
noai?aii? no/anieo ?ioi?iaoe?eieo oaoiieia?e. I?e aaoiiaoe/i?e ia?iaoe?
noaoenoe/ieo aeaieo eiio?ieth ia?aiao??a nenoai, ye? ci?iththoueny c
/anii oa ? caaeaieie ia aeene?aoi?e iiiaeei?, aeey iaea?aeaiiy
a??ia?aeieo aeniiae?a a?aeiinii a?aeiiaeaieo caeaaeiinoae iaiao?aeii
cae?enieoe nieaei-ia?aoai?aiiy. ?aae?caoe?y nieaei?a aeicaiey?
i?aeaeuoaaoe iaae?ei?noue a?aeiiaeaiiy iiaeaeae oa ciaoiaeeoe no?oeoo?i?
ci?ie a i?ioeanao oa yaeuao, ye? niinoa??aathoueny. Ooiaeaiaioaeueiee
aianie o oai??th iaaeeaeaiiy nieaeiaie c?iaeaii a?o/eciyieie oa
ca?oa?aeieie a/aieie. O noaoenoe/i?e iinoaiiaoe? caaea/a iiaoaeiae
nieaei?a aeine?aeaeaia a ?iaioao A.Oaaa, ?.Oiaiaa?aa, A.A.Ia?/aiea,
I.I.Oooea, I.I.I?enoaaee oa ?i.

Iniaeea?noth noaoenoe/ieo ianea?a ? ?o caooiiaai?noue. Aeey ??
ciaioaiiy ?aae?cothoue oae? iaoiaee:

iiia?aaei? caeaaeaeoaaiiy ca aeiiiiiaith o?eueo??a (o?eueo?aoe?y aeaieo)
c ianooiiei ?ioa?iiethaaiiyi; o oeueiio aeiaaeeo ?aae?cothoue
i?ioeaaeo?e ?ioa?iiethth/eo oa caeaaeaeoth/eo ia/enethaaeueieo noai;

aaciina?aaei? canoinoaaiiy caeaaeaeoth/eo nieaei-?aa?an?e;

?aae?caoe?y ?iaanoieo aeai?oi?a aeey iaea?aeaiiy no?eeeo ioe?iie.

?nioth/? iaoiaee oa i?ia?aii? na?aaeiaeua a?aeiiaeaiiy
nieaei-?aa?an?eieo iiaeaeae ia?aaaaeii aacothoueny ia ?ioa?iieyoe?eieo
noaiao. ?o canoinoaaiiy ia caaaeaee aea? aaeaeaaoi? iiaeae? i?e nooo?a?e
inoeeeyoe?? aeiaaeeiai? neeaaeiai?, yea iio?aao? caeaaeaeoaaiiy. Oea
iaoiiaeei aea?? caeaaeaeoth/eo oa ona?aaeithth/eo nieaei-ooieoe?e aeey
a?aeiiaeaiiy iaeiiaei??ieo oa aaaaoiaei??ieo ?aa?an?eieo caeaaeiinoae.

No/ani? ?ioi?iaoe?ei? oaoiieia?? aeicaieythoue ?aae?coaaoe iaoiaee
a?aeiiaeaiiy nieaei-?aa?an?eieo iiaeaeae o aaoiiaoeciaai?e nenoai?
ia?iaee aenia?eiaioaeueieo aeaieo aeia?eueiiai oa?aeoa?o: iieaciee?a
o?ce/ieo i?eai??a, ?acoeueoao?a aeiiii?/ieo, aeieia?/ieo niinoa?aaeaiue
oa ?i.

O ca’yceo ?c c?inoath/ei aio?iiiaaiiei aieeaii ia aeiae?eey aeieea?
iaiao?aei?noue noai?aiiy nenoai aeieia?/iiai iii?oi?eiao, i?ecia/aieo
aeey ae??oaiiy caaea/ iia?aoeaiiai aiae?co oa i?iaiico, ui aecia/athoue
ia?aiao?e iaaeieeoiueiai na?aaeiaeua. Ae??oaiiy oe??? i?iaeaie iio?aao?
?ic?iaee aaoiiaoeciaaii? nenoaie ia?iaee aeaieo aeey i?iaaaeaiiy
e?euee?niiai aiae?co aeieia?/iiai noaio aeiae?eey. Iniaeeai iai?oaeaia
aeieia?/ia neooaoe?y neeaeany a ?aeiiao ?ic?iaee ei?enieo eiiaeei, aea
oaoiiaaiia ae?yeuei?noue ni?e/eieea aei iaiao?aei?noue aaaeaiiy
aei?noeiai iii?oi?eiao ia oa?eoi??? eiia?iao?a, ui iiaeeeai ca oiiae
noai?aiiy aaoiiaoeciaaieo nenoai iia?aoeaiiai aiae?co oa i?iaiicoaaiiy
noaio i?e?iaeiiai na?aaeiaeua. Iaeiei ?c caaaeaiue oaeeo nenoai ?
oa?eoi??aeueia ea?oia?aooaaiiy, yea a?aeoai?th? ooieoe?iiaeuei?
caeaaeiino? (?aeue?oe ooieoe?e) oaoiiaaiiiai aieeao ca a?ae?io?i?/ieie
iieacieeaie. Iaea?aeai? oaeei /eiii ea?oe neeaaeathoue iniiao
oa?eoi??aeueiiai aoeano, yeee ? aieiaiei aeaea?aeii iia?aoeaiiai aiae?co
oa i?eeiyooy ??oaiue uiaei ciaioaiiy aieeao oaoiiaaiieo iaaaioaaeaiue.
Ae??oaiiy noi?ioeueiaaii? caaaeueii? caaea/? iii?oi?eiao cae?enith?oueny
oeyoii ciaoiaeaeaiiy ooieoe?iiaeueieo caeaaeiinoae oa ?aeue?o?a ooieoe?e
ii aea??eiaeo oi/eao ia iiaa?oi? oa aeeiiaiiy ea?oia?ao?/iiai
a?aeia?aaeaiiy iaea?aeaieo iiaa?oiiue oa ?o i?ea’ycee aei ?aeue?oo
i?noeaaino?. Io?eiai? a ?acoeueoao? iiaeae? – caeaaeiino? i?ae iaaieie
oaeoi?aie – ?aae?cothoueny aeey iia?aoeaiiai aiae?co oa i?eeiyooy
??oaiue uiaei iie?ioaiiy noaio i?e?iaeiiai na?aaeiaeua.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. ?acoeueoaoe
aeena?oaoe?eii? ?iaioe iaea?aeai? ca ia??iae 1995-1999??. ca?aeii c
oaiaoe/ieie ieaiaie iaoeiai-aeine?aeieo ?ia?o:

aea?aeathaeaeaoia oaia 90-95 “?ic?iaea i?eioeei?a, iaoiae?a oa
i?ia?aiiiai na?aaeiaeua nenoaie ia?iaee, aiae?co ? i?iaiico aeieia?/iiai
noaio a cii? ae?? a??ie/i?oaeieo i?aei?e?inoa” A? 0195U023134;

aea?aeathaeaeaoia oaia 01-71-98 AeAeO “?ic?iaea aaoiiaoeciaaii? nenoaie
caa??aaiiy, ia?iaee oa i?iaiico noaio i?e?iaeiiai na?aaeiaeua i?e
oaoiiaaiiiio aieea? ia iniia? no/anieo iioi?iaoeieieo oaoiieia?e (?aa?ii
E?eaaano)“ A? 0198U003757;

ainiaeiaia??ia oaia 123 “Aea/aiiy aieeao ci?ie iai?yieo a??ie/eo ?ia?o
ia a?ae?iaaieia?/i? oa ?iaeaia?ii-aaieia?/i? oiiae a E?eaaan?” A?
194U039231;

ainiaeiaia??ia oaia 86003001195 “Aeine?aeaeaiiy oa ?ic?iaea iaoiaeeee
i?iaaaeaiiy a?ae?io?i?/ieo niinoa?aaeaiue ca naa?aeeiaeiaie ?aaeeiii?
ia?aae? ia oa?eoi??? I?aiACE“.

Iaoa ? caaea/? aeine?aeaeaiiy iieyaathoue o aeai?? iaoiae?a, ?ic?iaoe?
no?eeeo ?iaanoieo aeai?eoi?a oa i?ia?aiiiai caaacia/aiiy a?aeiiaeaiiy
noaoenoe/ieo ioe?iie iaeiiaei??ieo oa aaaaoiaei??ieo caeaaeiinoae ca
aenia?eiaioaeueieie aeaieie ia iniia? caeaaeaeoth/eo oa ona?aaeithth/eo
nieaei-?aa?an?e oa ?aae?caoe?? ?ic?iaeaii? ?ioi?iaoe?eii? oaoiieia?? a
nenoai? aeieia?/iiai iii?oi?eiao.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a iieyaa? a oiio, ui aia?oa:

?ic?iaeai? ia/enethaaeuei? noaie oa no?ee? aeai?eoie ia iniia? ?iaanoieo
iaoiae?a, ye? aeicaieythoue a?aeiiaethaaoe a?eueo a??ia?aei? noaoenoe/i?
caeaaeiino? ia aac? caeaaeaeoth/eo oa ona?aaeithth/eo nieaei-ooieoe?e;

cai?iiiiiaaiee ?oa?aoe?eiee aeai?eoi iiooeo iioeiaeueii? n?oee
?ici?uaiiy aoce?a neeathaaiiy iaeiiaei??ii? nieaei-?aa?an??, yeee
aeicaiey? i?aeaeueoe oi/i?noue a?aeiiaeaiiy iiaeaeae oa i?ioeaaeo?e
ia?aa??ee cia/eiino? aoce?a neeathaaiiy;

?ic?iaeai? aeai?eoie, caaaeyee yeei iiaeia iaea?aeaoe no?ee? ioe?iee
aaaaoiaei??ieo caeaaeiinoae ia iniia? ?iaanoieo aeai?eoi?a, cie?aia
iiaoaeiae iiaa?oiiue c aeei?enoaiiyi ona?aaeithth/eo aeaiaei??ieo
nieaei-?aa?an?e;

?ic?iaeaii i?ia?aiia na?aaeiaeua nenoaie aaoiiaoeciaaii? ia?iaee
noaoenoe/ieo aeaieo aeey a?aeiiaeaiiy caeaaeiinoae o nenoaiao
iii?oi?eiao.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a aeena?oaoe?eii? ?iaioe
iieyaa? a oaeiio:

?ic?iaeai? i?ioeaaeo?e oa no?ee? aeai?eoie a?aeiiaeaiiy nieaei-?aa?an??
aeey iaea?aeaiiy aaeaeaaoieo iiaeaeae i?ioean?a oa yaeu, ye? iathoue o
nai?e i?e?iae? no?oeoo?i? ci?ie;

?ic?iaeaii ?ioi?iaoe?eia caaacia/aiiy a?aeiiaeaiiy caeaaeiinoae aeey
caaea/ ia?iaee aenia?eiaioaeueieo aeaieo aeia?eueiiai oa?aeoa?o, yea ia?
oe?iea eiei canoinoaaiiy;

?aae?ciaaii ?ic?iaeaia i?ia?aiia na?aaeiaeua aeey iiaoaeiae aiae?oe/ieo
iiaeaeae oa ea?oia?aooaaiiy a nenoaiao a?ae?io?i?/iiai iii?oi?eiao a
oiiaao oaoiiaaiieo iaaaioaaeaiue.

Iniaenoee aianie caeiaoaa/a a ?iaioao, aeeiiaieo o ni?aaaoi?noa?,
iieyaa? a oaeiio:

O ?iaio? [4] cai?iiiiiaai? oa ?ic?iaeai? ia/enethaaeuei? noaie e
aeai?eoie a?aeiiaeaiiy a?e?i?eii? ona?aaeithth/i? nieaei-?aa?an??; a
?iaio? [5] cai?iiiiiaaiee oa ?aae?ciaaiee ?oa?aoe?eiee iaoiae iiooeo
aoce?a neeathaaiiy; a ?iaio? [6] noi?ioeueiaaii iaa?oiooaaiiy
na?aaeiueieaaae?aoe/iiai iaaeeaeaiiy eoa?/ieie nieaei-?aa?an?yie,
aeiaaaeaii oai?aio; a ?iaio? [8] iaaaaeaia no?oeoo?a i?ia?aiiiai
caaacia/aiiy a?aeiiaeaiiy caeaaeiinoae o nenoai? iii?oi?eiao REGRS oa
cae?eniaia ?? ?aae?caoe?y c iaoith aiae?co oaoiiaaiiiai aieeao; a ?iaio?
[9] i?iaaaeaia ioe?iea aeeiai?ee o?i?/iiai neeaaeo aiae, iaaaaeai?
i?eeeaaee ?aae?caoe?? i?ia?aiiiai na?aaeiaeua a caaea/ao
ea?oia?aooaaiiy;

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. ?acoeueoaoe aeena?oaoe?eii?
?iaioe aeiiia?aeaeenue ia I?aeia?iaei?e eiioa?aioe?? c ia?niaeoeaieo
aeine?aeaeaiue “Eiiaapn?y oa aeieia?y” (Aei?ipiiaopianuee, 1997);
I?aeia?iaei?e eiioa?aioe?? “Ieoaiiy iioei?caoe?? ia/eneaiue” (Ee?a
1997); 1-e IIIE “No?eeee ?icaeoie: caa?oaeiaiiy iaaeieeoiueiai
na?aaeiaeua oa aeieia?/ia aaciaea” (Aei?ipiiaopianuee, 1995); 1-io
I?aeia?iaeiiio neiiic?oi? “Iiapaoeaiee eiio?ieue oa oi?aae?iiy ye?noth
i?ia?aeueii? ne?iaeie i?e aeaeiaoaaii? oa ia?a?iaoe?” (E?eaee ??a,
1996); 1-e IIIE “Aaiaeac?y, ea?oia?ao?y ? aa?ioioici?iaiiy” (Euea?a,
1997); Anaoe?a?inuee?e eiioa?aioe?? iieiaeeo iaoeiaoe?a “?ioi?iaoe?ei?
oaoiieia?? a iaooe? oa ina?o?” (*a?eane, 1997); IOE “I?iaeaie noai?aiiy
iiaeo iaoei ? oaoiieia?e” (E?aiai/oe, 1998); 4-e Anaoe?a?inuee?e IIE
“Aiaea – i?iaeaie oa ??oaiiy” (Aei?i?iiao?ianuee, 1998); 1-e oa 2-e
I?aeaea?aeaaieo eiioa?aioe?yo “Eiii’thoa?ia iiaeaethaaiiy”
(Aei?i?iaeca?aeeinuee, 1997-1998); 4-e IIOE “Eiio?ieue ? oi?aae?iiy a
oaoi?/ieo nenoaiao (EOON-97)” (A?iieoey, 1997); 4-e, 5-e oa 6-e
Oe?a?inueeeo eiioa?aioe?yo c aaoiiaoe/iiai oi?aae?iiy “Aaoiiaoeea-97”
(*a?eane, 1997), “Aaoiiaoeea-98” (Ee?a, 1998) oa “Aaoiiaoeea-99”
(Oa?e?a, 1999); “Ea?oia?ao?y oa aeua oeiea” (Ee?a, 1998); 1-e
I?aeia?iaei?e eiioa?aioe?? “Iaoea ? inaioa’98” (Aei?i?iiao?ianuee,
1998); I?aeia?iaei?e eiioa?aioe?? “Iaoaiaoe/i? iiaeae? oa no/ani?
?ioi?iaoe?ei? oaoiieia??” (Oa?nii, 1998); iaoeiaeo eiioa?aioe?yo AeAeO
ca i?aenoieaie iaoeiai-aeine?aeieoeueei? ?iaioe (Aei?i?iiao?ianuee,
1995-1999).

Ioae?eaoe??. Iniiai? ?acoeueoaoe aeena?oaoe?eii? ?iaioe iioae?eiaai? a
22 noaooyo (o oiio /ene? 12 noaoae iioae?eiaaii o oaoiaeo aeaeaiiyo, c
yeeo 7 – iaeiiiniaia?), iaeiiio iaa/aeueiiio iin?aieeo, 20 oacao
aeiiia?aeae ia eiioa?aioe?yo.

No?oeoo?a oa ianya ?iaioe. Aeena?oaoe?eia ?iaioa neeaaea?oueny c?
anooio, /ioe?ueio ?icae?e?a, aeniiae?a, ui i?noyoue iniiai? ?acoeueoaoe,
nieneo e?oa?aoo?e oa i‘yoe aeiaeaoe?a. Caaaeueiee ianya ?iaioe neeaaea?
135 noi??iie, ?iaioa i?noeoue 18 oaaeeoeue, 38 ?enoie?a oa nienie
e?oa?aoo?e c 188 iaeiaioaaiue.

INIIAIEE CI?NO ?IAIOE

O anooi? noi?ioeueiaaii iaoo aeine?aeaeaiiy, iaa?oioiaaii
aeooaeuei?noue, aecia/aii oe?e? ?iaioe oa eiei caaea/, ye?
ae??oothoueny, aeacaii ia iaoeiao iiaecio oa i?aeoe/ia cia/aiiy.

O ia?oiio ?icae?e? ?icaeyiooi caaea/o noaoenoe/ii? ia?iaee
aenia?eiaioaeueieo aeaieo o nenoaiao iii?oi?eiao. Cai?iiiiiaaii
aeei?enoaiiy nieaei-?aa?an?e aeey a?aeiiaeaiiy noaoenoe/ieo
caeaaeiinoae. Aeey aeeeth/aiiy aieeao aeiaaeeiai? neeaaeiai? o
noaoenoe/i?e iinoaiiaoe? caaea/? ?aae?co?oueny ?ioa?iiethaaiiy i?ney
ia?a?niiai caeaaeaeoaaiiy ooi?a aai iaoiaee caeaaeaeoth/eo
nieaei-?aa?an?e. I?iaiae?ciaaii noai aeine?aeaeaiue c aeei?enoaiiyi
nieaei-ia?aoai?aiue aeey a?aeiiaeaiiy aii??e/ieo caeaaeiinoae, cie?aia
caaea/?: ?ioa?iiethaaiiy iaeiiaei??ieie iie?iii?aeueieie
nieaei-ooieoe?yie; a?aeiiaeaiiy caeaaeaeoth/eo nieaei-?aa?an?eieo
caeaaeiinoae, a?aeiiaeaiiy aaaaoiaei??ieo nieaei-?aa?an?eieo
caeaaeiinoae; aecia/aiiy e?eueeino? oa i?noeaciaoiaeaeaiiy aoce?a
neeathaaiiy.

I?iaiae?ciaaii aeei?enoaiiy i?ia?aiieo eiiieaen?a, ye? ?aae?cothoue
aeai?eoie a?aeiiaeaiiy nieaei?a, o ??ciiiai?oieo noa?ao, cie?aia o
nenoaiao aeiiii?/iiai, a?ieia?/iiai, aaio?ce/iiai oa aeieia?/iiai
iii?oi?eiao. Iniaeeao oaaao i?eae?eaii noai?aiith iiaeo ?ioi?iaoe?eieo
oaoiieia?e aeey ae??oaiiy caaea/ aeieia?/iiai iii?oi?eiao, ye? iia’ycai?
c iaiao?aei?noth ?ic?iaee ?ioaeaeooaeueieo nenoai. Aeae?eaii
i??i?eoaoiee iai?yiie, yeei ? ?ic?iaea aai?ioi?iaoe?eieo nenoai aeey
caaea/ ea?oia?aooaaiiy oa noai?aiiy aenia?oieo nenoai.

O ae?oaiio ?icae?e? i?aaenoaaeaii ia/enethaaeuei? i?ioeaaeo?e oa
aeai?eoie a?aeiiaeaiiy iaeiiaei??ieo noaoenoe/ieo caeaaeiinoae ia iniia?
caeaaeaeoth/eo nieaei-?aa?an?e.

, (k

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