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Алгоритми та пристрої ‘фібоначчієвої’ арифметики цілих чисел великого діапазону: Автореф. дис… канд. техн. наук / Аль-Майта Мохаммад Абделькарім, Ві

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A?iieoeueeee aea?aeaaiee oaoi?/iee oi?aa?neoao

AEUe-IAEOA IIOAIIAAe AAAeAEUeEA??I

OAeE
681.325.5

AEAI?EOIE OA I?ENO?I?

,,O?AIIA**??AI?’’ A?EOIAOEEE

Oe?EEO *ENAE AAEEEIAI Ae?AIACIIO

Niaoe?aeuei?noue 05. 13. 05 – aeaiaioe oa i?eno?i? ia/enethaaeueii?
oaoi?ee oa nenoai ea?oaaiiy

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

eaiaeeaeaoa oaoi?/ieo iaoe

A?iieoey – 1999

Aeena?oaoe??th ? ?oeiien

?iaioa aeeiiaia o A?iieoeueeiio aea?aeaaiiio oaoi?/iiio oi?aa?neoao?
I?i?noa?noaa ina?oe Oe?a?ie

Iaoeiaee ea??aiee: eaiaeeaeao oaoi?/ieo iaoe, aeioeaio

Eoaeaoeueeee Aieiaeeie? Aiae??eiae/

A?iieoeueeee aea?aeaaiee
oaoi?/iee oi?aa?neoao,

aeioeaio eaoaae?e ia/enethaaeueii? oaoi?ee

Io?oe?ei? iiiiaioe:

aeieoi? oaoi?/ieo iaoe, i?ioani? Oa?anaiei Aieiaeeie? Iao?iae/

Iaoe?iiaeueiee oaoi?/iee oi?aa?neoao Oe?a?ie “Ee?anueeee iie?oaoi?/iee
?inoeooo”

caa?aeoaa/ eaoaae?e niaoe?ae?ciaaieo eiii’thoa?ieo nenoai

eaiaeeaeao oaoi?/ieo iaoe, aeioeaio Ei?/aiei Ieaenaiae? A?eai?iae/

Ee?anueeee i?aeia?iaeiee oi?aa?neoao oeea?eueii? aa?aoe??,

aeioeaio eaoaae?e iniia ia/enethaaeueii? oaoi?ee oa ai?oiaeo
ia/enethaaeueieo i?eno?i?a

I?ia?aeia onoaiiaa:

?inoeooo e?aa?iaoeee ?iai? A.I. Aeooeiaa IAI Oe?a?ie, a?aeae?e
i?e?ii?ioeani?ii? oaoi?ee, i. Ee?a

Caoeno a?aeaoaeaoueny “ 30 ” 09 1999 ?. i 12-00
aiaeei? ia can?aeaii?

niaoe?ae?ciaaii? a/aii? ?aaee Ae 05.052.01 o A?iieoeueeiio
aea?aeaaiiio oaoi?/iiio oi?aa?neoao? ca aae?anith: 286021, i. A?iieoey,
Oiaeueieoeueea oina, 95, AOE.

C aeena?oaoe??th iiaeia iciaeiieoenue o a?ae?ioaoe? A?iieoeueeiai
aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo.

Aaoi?aoa?ao ?ic?neaiee “ 27 ” 08 1999 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee
Eeniai? A.I.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. Iiyaa ? aacia?a?aia oaeineiiaethaaiiy AII i?ecaaee
aei ci?ie oaoiieia?? iaoeiaeo aeine?aeaeaiue, ca?eueoeeeny iiaeeeaino?
oai?aoe/iiai aea/aiiy, i?iaiico neeaaeieo i?ioean?a, i?iaeooaaiiy
?iaeaia?ieo eiino?oeoe?e. ?ica’ycaiiy oaeeo neeaaeieo iaoeiai-oaoi?/ieo
i?iaeai, ye iaieiae?iiy yaea?iith aia?a??th e inai?iiy einiino, noaei
iiaeeeaei eeoa caaaeyee canoinoaaiith iaoaiaoe/iiai iiaeaethaaiiy ?
iiaeo /enaeueieo iaoiae?a, i?ecia/aieo aeey AII.

*enaeuei? aeai?eoie iathoue aea? oa?aeoa?enoeee, ii eio?ei /anoi
noaeyoue i?i ?oith ye?noue. Ia?oa – neeaaei?noue (/an, ui aeo?a/a?oueny
ia ia/eneaiiy), ae?oaa – /enaeueia no?ee?noue (iaea /ooeea?noue aei
iioeaie ie?oaeaiiy).

?niothoue o?e iniiai? i?e/eie aeieeiaiiy iioeaee i?e /enaeueiiio
?ica’ycaii? aeo?aeii? iaoaiaoe/ii? caaea/?. Ianaiia?aae, ao?aei? aeai?
caaaeaee caaeathoueny c aeayeith iioeaeith. Aeae?, i?e cai?i? aeo?aeii?
caaea/? aeene?aoiith caaea/ath aeieea? iioeaea iaoiaeo. Ia?aoo?,
ne?i/aiia ?ic?yaei?noue /enae, ui cia?aaeathoueny a AII, i?ecaiaeeoue
aei iioeaie ie?oaeaiiy, ye? iiaeooue iaeiie/oaaoeny a i?ioean?
ia/eneaiue.

I?e /enaeueiiio ?ica’ycaii? iaoaiaoe/ieo caaea/ ia AII aeieea? i?iaeaia,
iia’ycaia c iayai?noth aaeeeeo eean?a iiaaii iaoiiaeaieo caaea/, aeey
yeeo oi/ia ?ica’ycaiiy a?aie/ii /ooeeai aei ,,iaeeo” cao?aiue aeaieo.
Aoaeo iioeaie ie?oaeaiiy aeey oaeeo caaea/ iiaea aooe eaoano?io?/iei.
Oiio aaaeeeai aeine?aeaeoaaoe ne?i/aii? nenoaie iaoeiieo /enae, ui
aeicaieythoue i?iaiaeeoe ia/eneaiiy aac iioeaie ie?oaeaiiy.

Aeia?a a?aeiii, ui oeeo?ia? eiii’thoa?e iiaeooue aeeiioaaoe aeaye?
a?eoiaoe/i? iia?aoe?? oi/ii, yeui iia?aiaee nooue oe?e? /enea. O oeueiio
ca’yceo aeieea? caaea/a ?ic?iaee ? aeine?aeaeaiiy oe?ei/enaeueii?
a?eoiaoeee ye caniao, ui caaacia/o? aaciioeaeia? (oi/i?) ia/eneaiiy.

Aaea a?eueo o?ueio aeanyoee?oue a ia/enethaaeuei?e iaoaiaoeoe? ?nio?
?icae?e, iacaaiee “aaciioeaeiaeie ia/eneaiiyie”. Oai??y aaciioeaeiaeo
ia/eneaiue ia? ni?aao c caaea/aie, aeey yeeo ao?aeia ?ioi?iaoe?y ?
iaai?ii oe?eeo /enae, a ?ica’ycaiiy ? ?aoe?iiaeueiith ooieoe??th a?ae
oeeo /enae. I?e aeene?aoecaoe?? aeo?aeii? caaea/?, ao?aei? aeai?, ui ?
ae?enieie /eneaie, ai?ieneiothoueny ?aoe?iiaeueieie /eneaie, ye?, o
naith /a?ao, a?aeia?aaeathoueny a oe?e? /enea. Ine?eueee ae?aiacii
ao?aeieo, i?ii?aeieo ? aeo?aeieo aeaieo /anoi aoaa? aaeeeei (a?ae 2-128
aei 2128 ? a?eueo), oi aeieea? iaiao?aei?noue o aaeee?e e?eueeino?
?ic?yae?a iaoeiiiai cia?aaeaiiy oe?eeo /enae. sse ne?i/aii? nenoaie
iaoeiieo /enae aeine?aeaeai? /eneia? nenoaie eeoe?a ca iaeiei ? ca
aaaaoueia iiaeoeyie, a oaeiae ne?i/aiii?ic?yaeia nenoaia p-aaee/ieo
/enae. ?ic?iaeaii ? aeine?aeaeai? a?aeiia?aei? a?eoiaoeee a oeeo
nenoaiao aeey oe?eeo ? ?aoe?iiaeueieo /enae. Iaeiae eiaei?e c oeeo
/eneiaeo nenoai i?eoaiaii? nai? iaaeie?ee, ui iaiaaeothoue iaeano? ?o
canoinoaaiiy.

I?ioa iaeiiiiaeoeueia a?eoiaoeea iiaea aooe aoaeoeaiith, yeui aoaea
caaacia/aia aoaeoeaia cia?aaeaiiy oe?eeo /enae aaeeeiai ae?aiaciio e
aoaeoeaia aeeiiaiiy a?eoiaoe/ieo iia?aoe?e iaae ieie. O oeueiio ca’yceo
? aeooaeueieie aeine?aeaeaiiy a?eoiaoeee oe?eeo /enae aaeeeiai
ae?aiaciio, caniiaaii? ia p-/eneao O?aiia//?.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. ?iaioa
aeeiioaaeinue ca?aeii c ieaiii iaoeiaeo aeine?aeaeaiue A?iieoeueeiai
aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo, ca aea?aeathaeaeaoiith oaiith:
52-A-158, “?ic?iaea iiaeo ?ioi?iaoe?eieo ? aeai?eoi?/ieo iniia
ia?niaeoeaieo AII, i???ioiaaieo ia ?ica’ycaiiy caaea/ ia/enethaaeueii?
iaoaiaoeee”, iiia? aea?ae. ?a?no?. ? 0196U007366; oa oaiith “Noai?aiiy
iiaeo ?ioi?iaoe?eieo, aeai?eoi?/ieo oa noaiioaoi?/ieo iniia
niaoe?ae?ciaaieo aenieiiaae?eieo ia/enethaaeueieo i?eno?i?a”.

Iaoa ? caaea/? aeine?aeaeaiiy. Iaoa aeine?aeaeaiue iieyaa? a ?ic?iaoe?
aeai?eoi?a e i?eno?i?a ,,o?aiia//??ai?” a?eoiaoeee oe?eeo /enae
aaeeeiai ae?aiaciio, ui caaacia/othoue oi/i? ia/eneaiiy i?e ?ica’ycaii?
iiaaii iaoiiaeaieo caaea/.

Iniiai? caaea/?, ui aecia/athoueny iinoaaeaiith iaoith:

– ?ic?iaeoe ? i?iaiae?coaaoe aeai?eoie a?aeia?aaeaiiy ?aoe?iiaeueieo
/enae o oe?e? e iaa?iaii;

– ?ic?iaeoe aeai?eoie cia?aaeaiiy oe?eeo /enae aaeeeiai ae?aiaciio;

– ?ic?iaeoe ? i?iaiae?coaaoe aeai?eoie aeeiiaiiy a?eoiaoe/ieo iia?aoe?e
iaae oe?eeie /eneaie aaeeeiai ae?aiaciio;

– ?ic?iaeoe i?eioeeie iiaoaeiae ia?aoai?thaa/?a eiae?a ? /enae;

– ?ic?iaeoe i?eioeeie iiaoaeiae i?eno?i?a ,,o?aiia//??ai?”
oe?ei/enaeueii? a?eoiaoeee.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a. O aeena?oaoe?? aia?oa
?ic?iaeaii aoaeoeai? aeai?eoie oa i?eno?i? a?eoiaoeee oe?eeo /enae
aaeeeiai ae?aiaciio, caniiaaii? ia ?-/eneao O?aiia//?, ui caaacia/othoue
oi/i? ia/eneaiiy i?e ?ica’ycaii? iiaaii iaoiiaeaieo caaea/ ?
i?aeaeuothoue i?iaeoeoeai?noue niaoe?ae?ciaaieo i?ioeani??a, i?ecia/aieo
aeey ?aae?caoe?? oaeeo caaea/.

Aei iniiaieo iiaeo iaoeiaeo ?acoeueoao?a, ui neeaaeathoue iaoeiao
iiaecio, a?aeiinyoueny:

– niin?a eiaeoaaiiy neiaieueii? ?ioi?iaoe??, ui iaeii/anii caaacia/o?
ca?eueoaiiy e?eueeino? eiaeiaaieo neiaie?a ? ciaoiaeaeaiiy iiieeie i?e
aaaaeaii?, ia?aaeaaaii? ? caa?aaeaii? aeaieo;

– aeai?eoie a?aeia?aaeaiiy ?aoe?iiaeueieo /enae o oe?e? e iaa?iaii, ui
ca iaaieo oiia i?ino?oa, i?ae ocaaaeueiai? aeai?eoie Aaee?aea;

– aeai?eoi cia?aaeaiiy oe?eeo /enae aaeeeiai ae?aiaciio, ui caaacia/o?
ciaioaiiy ?ic?yaeiino? iaoeiii? oi?ie cia?aaeaiiy /enae;

– aeai?eoie aeeiiaiiy a?eoiaoe/ieo iia?aoe?e iaae oe?eeie /eneaie
aaeeeiai ae?aiaciio, ui aeicaieythoue i?enei?eoe ia/eneaiiy a ii??aiyii?
c a?aeiieie aeai?eoiaie a?eoiaoeee aaaaoie?aoii? oi/iino?.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a. I?aeoe/ia oe?ii?noue ?iaioe
iieyaa? a oiio, ui:

– ?ic?iaeai? no?oeoo?e ia?aoai?thaa/?a eiae?a ? ia?aoai?thaa/?a /enae,
ye? iathoue ??ci? oa?aeoa?enoeee aia?aoieo aeo?ao ? i?iaeoeoeaiino?, ui
aeicaiey? cae?enithaaoe aea?? a?aeiia?aeii aei eiie?aoieo aeiia aei
oaeeo i?eno?i?a;

– ?ic?iaeai? no?oeoo?e a?eoiaoe/ieo i?eno?i?a aeey ia?iaee oe?eeo /enae
aaeeeiai ae?aiaciio, ui iiaeooue aooe aeei?enoai? i?e i?iaeooaaii?
i?iaeaiii-i???ioiaaieo iiaeoe?a ia/enethaaeueieo nenoai.

?acoeueoaoe aeena?oaoe?eii? ?iaioe ai?iaaaeaeaii ia AAO
“Iaoeiai-aeine?aeiee ?inoeooo a?aeaioa?i?iaeueii? oaoi?ee” oa
aeei?enoiaothoueny a iaa/aeueiiio i?ioean? ia eaoaae?? ia/enethaaeueii?
oaoi?ee A?iieoeueeiai aea?aeaaiiai oaoi?/iiai oi?aa?neoaoo

Iniaenoee aianie caeiaoaa/a. O ?iaioao, ui iaienai? a ni?aaaoi?noa?,
aaoi?o iaeaaeaoue: [1] – ?aeay niiniao eiaeoaaiiy neiaieueii?
?ioi?iaoe??; [2] – aeai?eoie a?aeia?aaeaiiy ?aoe?iiaeueieo /enae o oe?e?
? iaaiaee; [3] – aeai?eoie cia?aaeaiiy oe?eeo /enae aaeeeiai ae?aiaciio
e ioe?iee ae?aiaciio aeey ??cieo oi?i cia?aaeaiiy oe?eeo /enae o OeII;
[4,6] – aeai?eoie aeeiiaiiy a?eoiaoe/ieo iia?aoe?e ? ioe?iee neeaaeiino?
aeai?eoi?a; [5] – no?oeoo?e a?eoiaoe/ieo i?eno?i?a aeey ia?iaee oe?eeo
/enae aaeeeiai ae?iaciio; [7] – no?oeoo?e ia?aoai?thaa/?a eiae?a.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. Iniiai? iieiaeaiiy aeena?oaoe?? ?
?acoeueoaoe aeine?aeaeaiue aeiiia?aeaeeny ? iaaiai?thaaeeny ia:

– I?aeia?iaei?e iaoeiai-oaoi?/i?e eiioa?aioe??, “I?eai?ino?iaiea -97”
(Aeiieoea-Neiaec, 1997)

– VI-iaoeiai-oaoi?/i?e eiioa?aioe?? “Aei??thaaeueia oa ia/enethaaeueia
oaoi?ea a oaoiieia?/ieo i?ioeanao” (Oiaeueieoeueeee 1999);

– Ui??/ieo iaoeiai-oaoi?/ieo eiioa?aioe?yo
i?ioani?nueei-aeeeaaeaoeueeiai neeaaeo A?iieoeueeiai aea?aeaaiiai
oaoi?/iiai oi?aa?neoaoo. (A?iieoey, 1996-98).

Ioae?eaoe??. ?acoeueoaoe aeena?oaoe?? iioae?eiaai? a 5 noaooyo o
iaoeiaeo aeo?iaeao, 2 ca??ieeao iaoeiaeo i?aoeue.

No?oeoo?a oa ianya aeena?oaoe??. ?iaioa neeaaea?oueny c? anooio, i’yoe
?icae?e?a, i’yoe aeiaeaoe?a, caaaeueiee ianya aeena?oaoe?? 215 noi??iie
c yeeo iniiaiee ci?no aeeeaaeaiee ia 142 noi??ieao ae?oeiaaiiai oaenoo,
53 ?enoie?a, 11 oaaeeoeue. Nienie aeei?enoaieo aeaea?ae neeaaea?oueny c
70 iaeiaioaaiue.

INIIAIEE CI?NO ?IAIOE

O anooi? aei aeena?oaoe?? iaa?oioiaaii aeooaeuei?noue i?iaeaie,
noi?ioeueiaaia iaoa ?iaioe, iienai? iniiai? iaoeia? ?acoeueoaoe ?
iieacaii i?aeoe/ia cia/aiiy io?eiaieo ?acoeueoao?a.

O ia?oiio ?icae?e? ?icaeyaeathoueny a?aeii? oe?ei/enaeuei? a?eoiaoeee e
aiae?cothoueny ?o ia?aaaae oa iaaeie?ee.

Aeey iaeiiiiaeoeueii? a?eoiaoeee iaiao?aeii aeae?aoe iiaeoeue m
iano?eueee aaeeeei, uia on? aeai? ? ??oaiiy caaea/? aoee o iiiaeei?
eeoe?a ca iiaeoeai m. O i?ioeaiiio aeiaaeeo aeaye? ??oaiiy iiaeooue aooe
iai?aaeeueieie, aea aiie aoaeooue ii??aiyi? ca iiaeoeai m ?c
i?aaeeueieie a?aeiia?aeyie, oiaoi iiaeeeaa neooaoe?y
inaaaeiia?aiiaiaiiy. O aeiaaeeo aaeeeiai ae?aiaciio /enae cia/ii
oneeaaeith?oueny aia?aoo?a ? cieaeo?oueny i?iaeoeoeai?noue. Oea ?
iniiaiei iaaeie?eii iaeiiiiaeoeueii? a?eoiaoeee.

I?e ?ica’ycaii? caaea/, aeey yeeo aeaieie ? ia ?aoe?iiaeuei? /enea, a
iie?iiie, a?eueo aoaeoeaia ne?i/aiii?ic?yaeia ?-aaee/ia a?eoiaoeea. Aiia
aea?aaeaioia iaeiiiiaeoeuei?e a?eoiaoeoe? eeoe?a, eiee iiaeoeue ? oe?eei
/eneii aeaeo m=pr, aea p – i?inoa, a r – oe?ea aeiaeaoia. O neeo
oeueiai, i?e ?ica’ycaii? ?ioeo eean?a caaea/ p-aaee/ia a?eoiaoeea ia? o?
ae iaaeie?ee, ui e iaeiiiiaeoeueia a?eoiaoeea.

Aaaaoiiiaeoeueia a?eoiaoeea eeoe?a (iiaeoey?ia a?eoiaoeea) ia o?eueee ia
cieaeo? i?iaeoeoeai?noue, aea e caaacia/o? ?? ca?eueoaiiy. I?ioa i?e
ae?eaii? aeieea? i?iaeaia, iia’ycaia c oei, ui aeey aeayeeo aaeoi?ieo
iniia ? aeayeeo oe?eeo /enae a ia aoaea ?nioaaoe iaa?iaiee aeaiaio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. Oiaoi ia aeey an?o /enae aoaea aeeiioaaoeny
iia?aoe?y ae?eaiiy, ui ? ?noioiei iaaeie?eii aaaaoiiiaeoeueii?
a?eoiaoeee.

A?aeii? “o?aiia//??a?” nenoaie /eneaiiy iathoue o? ae iaaeie?ee, ui
iaeiiiiaeoeueia nenoaia. I?ioa aeanoeaino? ?-/enae O?aiia//?
aeicaieythoue noai?thaaoe ?io? niiniae cia?aaeaiiy oe?eeo /enae.

Ia iniia? aiae?co ia?aaaa ? iaaeie?e?a ?icaeyiooeo a?eoiaoee
cae?enith?oueny aea?? iai?yieo ? oi?ioeththoueny caaea/? aeine?aeaeaiue.

A ae?oaiio ?icae?e? ?icaeyaeathoueny ieoaiiy cia?aaeaiiy aeaieo ia
??cieo ??aiyo: ia ??ai? neiaie?a, ui aaiaeyoueny ca aeiiiiiaith
eeaa?aoo?e, ia ??ai? /enae, ui aaiaeyoueny o OeII ? aeaiaeyoueny ?c ia?,
ia ??ai? iaoeiieo oi?i cia?aaeaiiy /enae ? ia ??ai? iaoeiieo eiae?a.
Eiaeiiio c oeeo ??ai?a a?aeiia?aea? naiy oi?ia cia?aaeaiiy ? nai? eiaee.
Oiio aeieea? iaiao?aei?noue ia?aoai?aiiy iaeieo oi?i cia?aaeaiiy a ?io?.
Aeoiaey/e c oeueiai, ?ic?iaeythoueny ? aeine?aeaeothoueny aeai?eoie
i?yieo ? iaa?iaieo ia?aoai?aiue.

Cai?iiiiiaaii niin?a eiaeoaaiiy aeoaa?oii-oeeo?iai? ? neiaieueii?
?ioi?iaoe?? ia iniia? I-oi?ie 12-oe ?ic?yaeiiai 1-eiaeo O?aiia//?, ui
iacaaia “aethaeeiith”. Ca?eueoaiiy e?eueeino? iiaeeeaeo eiae?a neiaie?a
?c 256 (aeey aaeoa) aei 377 (aeey aethaeeie) aeicaiey? aaanoe
aeiaeaoeiai aei a?aeiieo neiaie?a neiaiee a?aoeueeiai aeoaa?oo ? aeaye?
iaoaiaoe/i? neiaiee. E??i oiai, caaacia/o?oueny eiio?ieue oi?ioaaiiy,
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6d00fd0009000000320a2002ac05010000004e00eb0010000000fb0280fe000000000000
9001000000020002001053796d626f6c0002040000002d01010004000000f00102000900
0000320ac001e40201000000ae007c010a00000026060f000a00ffffffff010000000000
10000000fb021000070000000000bc02000000cc0102022253797374656d00cc04000000
2d01020004000000f001010003000000000000000000feffffff04000000fefffffffeff
ffffffffffffffffffff0000000000ffffff00000000, yea iieyaa? a oiio, ui
oe?eiio /eneo c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 o a?aeiia?aei?noue ae??a Oa?ay ii?yaeeo N, ?ic?iaeaiee
aeai?eoi, ui ?aae?co? oae? ia/eneaiiy:

Ia eiaeiiio e?ioe? aeai?eoio aeiaeaoiee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?ae’?iiee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?iae
ia?aa??ythoueny ia iaeaaei?noue aei iiiaeeie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 ca?aeii c (1). sseui i? iaeei ?c ae?ia?a ia ? ae?iaii Oa?ay
ii?yaeeo N, oi ca?eueoo?oueny ?.

?acoeueoaoe iiaeaethaaiiy cai?iiiiiaaieo aeai?eoi?a i?yiiai e iaa?iaiiai
ia?aoai?aiue ? a?aeiieo ocaaaeueiaieo aeai?eoi?a Aaee?aea iieacaee oaea.
Aeey ?ic?yaeiino? iia?aiae?a n=16 cai?iiiiiaaiee aeai?eoi iio?aao?
iaioi? e?eueeino? iia?aoe?e o ii??aiyii? c ocaaaeueiaiei aeai?eoiii
Aaee?aea o aeiaaeeo ae?ia?a Oa?ay ii?yaeeo N

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