14
eururoN eJnlrpl nuEeJJag ueInl ap eJesnpe{ lard?awoa6 Inuulo( lloSvu?? vc\Clv

Domnul patrat. La pas prin lumea geometriei - Anna Cerasoli patrat. La... · 2020. 9. 30. · ti ilrdor un rSn1o1 rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud ps ernqerl

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Page 1: Domnul patrat. La pas prin lumea geometriei - Anna Cerasoli patrat. La... · 2020. 9. 30. · ti ilrdor un rSn1o1 rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud ps ernqerl

eururoN eJnlrpl

nuEeJJag ueInl ap eJesnpe{

lard?awoa6

Inuulo(lloSvu?? vc\Clv

Inllllollpa lirl'i'JJJJnpeJt Elu,,z,,JJ r t.i: ..

er u gruou ru1uad lquqrmrd

I

H]0Z0Z'pururo-\ +isqd-'

:IlosereJ evriy /1eg4auroe3 eauq q.d s

lJruuLLrou : . .

elseul-azuenJ' l'r's Paral--r5 ?Pi

(lI' {uJl-oprus'.iLtt-$, I TJ

oreu.Iluouelre.rqru,.i(}I'euFuourllupar,i

uroc'1eur3@eutxou'zuaruo-1 :XFs

9LV' 6EV' VEO ixeJ / LtP' 6tt'8rf 0 :lSaBry 'pn[ 'lE 'ru 'gS9 NC'-ns 'npp]g sunrD

:TLLINI EP ]-]LI

niellog eruoq:alz!-?Fp3uea:3 nrpuPxaft-:rcr

'D)ADUAIDU lDlu',til! I

'otnnlAJnawryatrul poa

-asrcE

sutad aO oyo11y11i aag ruu&wtg lnl D

Page 2: Domnul patrat. La pas prin lumea geometriei - Anna Cerasoli patrat. La... · 2020. 9. 30. · ti ilrdor un rSn1o1 rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud ps ernqerl

(puelplcne-uou el4etuoag)ruIc:rf,f,Nlep eunnseqr o

s9t" """""' Lt'dv)

(efo1odo1)sedurof, 16 ppg yUyJ

ssr """"""" 7t'dv)

(alargpr5)

vucINOrI r4p lrPlnlPssvt"'"""""' " at'dv)

(eloqladlq'asd;1a,e1oqere6)alaruoJ rS alaueld'ZNI.ICO

€tt'..... lt.dv)

(Eje1n8ar EurroJ ncryieds rq pmtg lculr elef,)

acgr-u8eru IJNIJ eIeJ"" at'av)

(epau4rqrv)

nIN:I9 rnun a[unrJrqPls"'a'dv)

(eriereduroc u.ud'npieds uI IrnBH)INInCNId rs apcol-lo4

€0t"' """"" """"'.""""'. lt'du?

(nrieds 4 un8g a1le 16 pqn3)OIiVdS uIlp4qd Inuuoq

o1'dv1

(aclneuroa8 rqurroJsuErJ)

INaJgIud 16 -'rre ^'\e 4'ueureg

6L'. ""',"" ""'"'""""" b'dv)

(ege rS acrrlarurs ep.rn3lg)

VUSWVH.IV Inlnleiedalunrie-rocep rs unrimpuas'elItEIf,

(eluaum4sw t4 lnrrof,)'of, 8 g'rriou

6S'"""""'"' " L'dv)

(Incraf,)

YJdVI'ISiNI Esaiul-r4

ts"' " """"" " '"" """ q'ao)

(apuorierr aratunN)

IOC-NI(-'IV]ICW SSIW

tv" """ " E'av)

(^ucnpap rpEruolxe Inuals-rs)ol'If,ng rnl IE ernqulgs Iatv

It"""" "' """" '""'" l'dv)

(ero8e1r4 InI euaroel)TnIISEOCVII4 ddoou5

tz" '.' """ '." 4'dv)

(euleuroe8 a16eu es urn3)

lupurppr8 apcnde pur 16 csardo pry

st ""'-" "' 7,'dv)

(elrotsr W Intp4pd)Pleporrru ec Plppo lsoJ E oN

L " " "" "'" "'" "" I'du-f

69

EZL

€tt

L8

Iu!vdn>

Page 3: Domnul patrat. La pas prin lumea geometriei - Anna Cerasoli patrat. La... · 2020. 9. 30. · ti ilrdor un rSn1o1 rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud ps ernqerl

rfr*d[ -"v

4

lnlolld\t)

Page 4: Domnul patrat. La pas prin lumea geometriei - Anna Cerasoli patrat. La... · 2020. 9. 30. · ti ilrdor un rSn1o1 rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud ps ernqerl

'eurgru eaJSaAod eunds Io^ Iil lpieaunurp

ap gsazerl a1 ps lrnusrqo r1$e reur nu rS eleoci rer adacul

aurgru 'rurrope ps aurq lpru U ;e eleod 'olrJ 'gllnlsv -Zpseourn4 eeofp ealsanod rnds nul ES rerl rJeC 'gurapou

eerunl u1 lnospu rrre-ur pf, sornlnq luns na 2e3e r-nu 'gran

-es eueoJ Ero PalIInl 'rJunJP ed 'esrzralur nere elrunrlurul

eJeol 'pl eeruerl ed pc zoued'c{auac1 pdocs p}EI ielsuro

ad pneaclg8 o rirae rS 'el EJaupf urp npr el gs 'ne 3;a1e

er,rtq retrr 'r3;a1e A op vundspJ n] 'a1a1r1sed lenl re grep pq

-perlul el ee :eleunrf,unu ep IaJlsE rnds gs eelnd rp n] rS iJeJ

a1 ps e3ry nep rs up pundspr ne 'eleruel lnlpJ rup-ru pJpp

pqparlu1 pru erueru pugf, rounle 'nlduraxe ag "'nr1S ng -2atauaq

doos lsace eU ps rnqarl JE erer rS "'jlueueq docs u1 -'t{auaq docs ul runrJurru ruaunds

ps aron urale :alsa eSe gc 1e:n[ e-s of,]pw 'qurLIJS uI -'tiulu ps rlod nu pJ perf, na 'nN -

zrunI:)

-uruI elruInue ruaunds ps eron urele pc rerlS nl 'elnlrung -

,'tO

s%qffiffieru C_{ * #"u ffi#Hfryw €p ffi 6'rn*a

Page 5: Domnul patrat. La pas prin lumea geometriei - Anna Cerasoli patrat. La... · 2020. 9. 30. · ti ilrdor un rSn1o1 rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud ps ernqerl

ti

ilrdor un rSn1o1

rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud

ps ernqerl nl Jpp 'ecrlerueleru t$ autl ad '11nur csa8p-tpu1

pA nA'csauSr[al ps rueron nu'e1nf,runq'pru-puel ilopp]Sptoqzpdlezt\atp eJpf, f,Iunq un nJ nps Joleroldxa cunq un

nc a3a1e rueelnd pru nu :lstuotutq8 lBIqJ luns ng ZPllleural-eur a;dsep rEI Ilsaqrol qS ZIJeJ ps IIIS pJSp lpog innnN -

11er1pd

un "'PlPpo lsoJ v "'Plppo lsoJ v 'nou ulp 3ref,ul 'eulg -'eepl o IuaA pA ril pc eapan ran rs urind a1-alSapug8

:naJaur mds nug eiy 1e[e"rncsep el nu'a1n]tunq'aplpH -iealu ealulru ulp elelpol

nc 1r3ry ne "'alerieds anBu 'ruo3erp 'asaiut:d 'tiut:d :ad

-eur3urur qllnru ea-td ure nu ne pf, else eeepl "'plepolllu eJ

plepo lsoJ V "'plpporrru eJ plepo lsoJ V "'repe6e '-repeiy'91

-n8g;p alsazrod o e1 rpugS lod gtu prBp luepe^ ps 'eulg -

ialsanod o aluleul Ieru llnJsp ps ql-eJ u-Iope

ps Jsasnar nu rerqf, 'rodp 'IS "'IunIfuIuI e1 a;tnt'td nf, aunq

r-rnJEJS 1ep rue-r1 ng iranas nl IS U nu 'alnltunq 'lpH -

ltrdi?ed thuulod

Page 6: Domnul patrat. La pas prin lumea geometriei - Anna Cerasoli patrat. La... · 2020. 9. 30. · ti ilrdor un rSn1o1 rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud ps ernqerl

Jep'lueoselope-edEoJde-gdoc u

PS Arnqe4 nl JEp 'ecEetualeul

ielellleruo8 ap per8 le-tplepe un

lefudrur e pf,sernJlsuol I qs rs ezal3ero;d p ps 'le EI q3seep

-ug8 as pS ilslrnlnJ loelqo un eJe 1n1et1gd 'le nJJued 'alpru

-rue ap rard nc qlrredoce pJelnlrlJ pqllol qldruts o 'gpunlorpruroJ reruf,ol lnle p 'apelsed lrsprpd e ac gdnp 'pse3 es etu

-r:d '"tqnape-rlq 'nu piuernBrs nc 1er1pd un psul'f,1aul tnun

rarTrqfoo e eer runf,e;d'plertds o pepel ealnd'lnaqnc:no nes

a1are3;eru reun eueoroc 'qde u1 ElEJunJe prlerd o ep eleels

elac ad nES rrun'I Ip Iaf, unf,e;d'r;nc;ac Eapal ealnd ntlturtrd

lnruo '1ua1e EJe pJEp '1deg aq 11n1er1pd lsoJ e nu 'PJeoIuIpO

'a1e4pd plsxe nu qJnleu u1'eutq qiapug3 el qlup 'tS atfon4s

-uof, orf,ru ere nu nps 1n-rn(q lplelJeds ep lglp eur8erut o 91

-epoerl Ia esnzql apu11 'qlerieds pneu o pl Iou lpug8 au p nf,

n-rf,nl rsplooe olsa lengd un eurSerur r3-e ntltuud ruo un nll-ue4 iglerieds pneu o rpll{f, 'autq ltzne 1e 'eC'qlerieds eneu

o Ef, alsa 1el1qd un 'n1116 'pr n-tlued 'eacqld en r11qo rn8rs

luns 'pef,pld en rf1 ipJnluele EleJplepe o a:dsap pqlol else

gc :n3rse a1 qs 1od 'csapug8 put ps nels glBp 'runf,V 'Inlnl

-e:1pd e alsanod qlseeop g eleod pseotun{ Jp }pl nli nu n}

rpp 'JueJselope-adeo;deldoc naru p8erp 'e1e1darp ty -

EA nf 'csau8r[ el ps ruElo,r nu 'a1nc1u

lruoqzpdlezt\ate eJeo slunq un nf, nE

nc e8ap urealnd Pru nu :1s1uoqq8 re

-eru a;dsap "let tlSaq;on pS ZIoEJ Ps IEs

un "'91epo lsoJ v "'Plepo $oJ v'nou'aepl o IuaA eA fl1Pr eaPaa Pt

:nareru rnds g4 e6y ie[erncsep el nu'iee

nc 1r3q ne "'eprieds aneu t-uote+-Bur8erut pl1nur eetd urB nu na Ec 4sPlepo lSoJ v "'PlPpol3r-u el glPpo lsql !

-n8prp alsanod o ul pu-e8 rodgtugcel

ielsanod o atr4P

ps csasna; nu JeITIO 'tode 13 "'t

rJnleJS 1ep ure-ri ng iralas nl

0LrAv

C

Oooq

1n1u,

Page 7: Domnul patrat. La pas prin lumea geometriei - Anna Cerasoli patrat. La... · 2020. 9. 30. · ti ilrdor un rSn1o1 rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud ps ernqerl

.-:

ilf,erof, erPd as rw -'expl enou BInJIeJ '1e11nzat ap arjcury u1'ri lugrugd

ap e]e3e:dns asesnper as lgr nt azalnolpf, ps rps rrreuo{

-cun; ad palnuul 4 ]aJsnuaS 'rf,unJv 'elureul Ef pxel rseearp

pcsealpld reru ps lf,eroo eerpd es r nu pc punds q ps uopreJ el

ea3raru lnrelarrdord '1epsy 'ala urp rirpd en1-rerql 'uoaun 'rs

rolalac;ed elereloq rS ecgporu rBp 'ezrlrgeJ al rs eSrrr a1-'Ppn e[ r( es;pna; JS InltN

'1deg aq 'ellual nere unuerel eloJe gc nr13 ne 'ep 'V -

'EIEnue pxel o qcseelgld ps nernqeJl enSace 'luapme

'qrurr{f,s uI 'elqlno el ps eJ rgs rog6ndns leiurpertr4 e-al

e;ec ed'ep8a eleol'ele-t1pd 'eurier'a1e;1Ed el1nru u1ln1nIIN

alrrnlpw ad ap ellrntugrupd 1flrpdur1p tarsnues uoereJ eru

-nue un'rue ap nur n;1ed ep lptu reru nJ pruJn u1'pc aundg'car8 cr-to1sl solureJ un '1opo;a11aunds eJ pllnosv 'pd1cu1-rd

InJoloe lsoJ E InleJlpd 'puecs ed 1e;1ur e ac pdnp 'psul -irulopns ecn[ea1nd as nu Je)gu],rcru'zr4rurud

rrro Inueurps 'lol alsad luns a1e1er1pd tzg$e pc rlsepug8

el pugJ rS ielnorunq'Else el pleporlru llpug8 tue-tu nN -

1Di12d thuuloo

lrU

Page 8: Domnul patrat. La pas prin lumea geometriei - Anna Cerasoli patrat. La... · 2020. 9. 30. · ti ilrdor un rSn1o1 rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud ps ernqerl

'alrlxel eJqU SeJlxe es erel urp pseorqu 'a;{qnseurdlnl nl 'roleerpull elpueJ urp EIenuE equeld - (umuu'IBI) uI r

eunrJseqs o else qSunldarp mun Insol wlE4Pd un aSelE E IS

ineru InSEJp '1eJr6 IrJ ps ernqarl 'uoercJlII ES e3 "'eulq Ig -Zneerpld q nu elrrnrq8unlderp 'a1

-er1pd rcruool lnuoeJeJ BaJ-EJ eJ ep eJEo JEC'rollue nualdfalpur eJEl celd tu1 erw ielseaJe Balsanod pseorunJJ -

ieUIunJ elnr^eJ nEJe eJeo ulp 1nlelJeletx'r(outfi ut

FuerrrJal el ap eurlotd 'atw1 luglnc rselacy 'prnpecotd

plseare ul eaur8r"ro a-re 161 ,,eruq o e3e4 e" pJlseou etse;dxa

rs rerq3 ',,IunJ ep uolpzurlul" riurnu neJe pf,unlu plspace

neer-eJ eJes rruer3luqal 'mlnJelotl epzeJq PlesErl EJe elal

-sace p8unl E-ep 16 auu 1de;p een-res psupuI eung lapung

nr rop elgr rop neeun rlrode rd rnple4qd alaladec u1girupinea3gu116n"rpi yd gury nc {erurer4'mlncol eieg el neseldep

es mlnuoereg nreuo{)unl'rupuual unspw'mlnluBtupdunspru reruool purueesul ar 4atuoaS lnlugnnf, lqnape-4u1 '19

aalunJonl sJnoep nE rrrnJ 'o1rg 'salaiul IV 'Er4eruoa8 1n-rqde

e 'ueJel ad rolalerlpd rupserla; rd nrpse;l plrJolep '1tncs e4

',prrleruoe8 pleluenut lsog e ldeg rnJSeoE eJerrrJn pJ peJJ ng"

:eunds lopoJeH ;ealselod lopoJaH EurruJel runo IIIS -

I 'du

ap eiege"rdns asesnpeJ as lg3 m e

-cung ad Eelrrurrl IIleJsnues trunJvpcsealpld reru -es loaJoJ ea:-ed es I nu

ea3;aru p;e1ar:dord ]agisy'ele u-rp E

;olelacred eleJeloq 16 ecglr-pour rPp 'E

'1de; ag 'elqreJ netr

'qrurqcs uI 'eAIInl al Es ef,

a;Bc ad'ap8e eleol'elerEd';alun1eru ed ep epqupu-ed t

-nue un 'rue ep mu n-4ed ap r'ca;3 cuolsl sou4eJ un1opo

InrolJE lsoJ e plerlgd'gua:

inlopns Pr:-

ruo Inuerurps 'lo1 atsad --,el pugl rs ialnlrunq'ElsP ?'

*GJ

Page 9: Domnul patrat. La pas prin lumea geometriei - Anna Cerasoli patrat. La... · 2020. 9. 30. · ti ilrdor un rSn1o1 rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud ps ernqerl

4",

'009t = ozxo8 else BUE 'oz eeuilllgul 16 0g BZeq nr :006

06x01 ep alse Eup '06 eeurilpul ri 91 ezeq nr :qrrearlrl

'e1e8a elunlel alpol'e;ele e)'ere rs 11eu1ep else

1gc ad lpl ep IeJ pl else elpf, Ieo alpur reur eac eiegerdns alu

'1e1 reur rs puncs reru aU '1sn3u1reu ri 11eu1reur eU 'r;nrq8un

-1darp ap r;ndr1 aleluaJrp erlurp 'er nrlued '1e.r1gd un r8ele

ps ernqerl 'rcunle 'rg 'ppqrsod piege:dns eletu rptu pel pqre

qs rar^'a1e1da;p ,i::":: -:r ':_,.:i"iT,

,"r.0,'?",r-"ialoc un Jsarnllsuof, qs 1od'{ane;1sec

'dnqc1a1 urind nc ri ridr:g lpru celd rur aJEJ gogec 'usor

'plEIBS 1a ad ar11nc ps 1od ese 'surlxa ap aleod as lgl eU qs

naru InueleJ Br npeln na 'piuern8rs nc 'gsu1 'rnlnie;1pd e rs

rnlnrqSunldarp e ri 'arulo; eleqrup celd rull enu 'eurq rA -2enlatd ran pruJoJ et 'uJatu ep O0Z ap xU else elec 'nl1

-auuad rsplare pug^V 21e4gd un nes rq3unldarp un 'a3ap

rel aJ 'pJ B ruelep pA elBJ lugrugd ap eaunri:od elnurtap r1-e

nrluad 'r;larrr ap O0Z ap uaunds qs 'erurSunl pltrunup o ep

erunJ o Ep as Ij rs nou ruglpl un ed ep iluoloo reun 1e lolmlolun nsa n1 ':r1dxe r11ps 1od plpp uape^ pS ierualrlt ap au{ ac

03

ab

1w12d thuuloo

t\VI I

Page 10: Domnul patrat. La pas prin lumea geometriei - Anna Cerasoli patrat. La... · 2020. 9. 30. · ti ilrdor un rSn1o1 rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud ps ernqerl

irruolo3

reun IB rolrnf,ol lerq^app un g rE PrBp erPJ IP-al aleJ ad

aspolun4 elunrsnl elEol PZBeslA IS iollJ '[urop urn3v -isoJrruouore erpru reru IeJ rl$a qiue:n8rs nc 'alnctung -

iolrtl reru 1n;1aur:ed ere eJpf, eaf, elsa q1e-rlpd ezeq'g1eBe

piege"rdns e1 :1er1qd ueld un r8ale ps ernqerl'uot:e1xe rda;ad

pl aruouoJe rJpJ qs r16a-rop pcep 'pinspo nrluad IS 'psel o ep

rs eroneu rE 'rruolof, reun Inrolrncol rlsa gceq 1:nSrsag -

iPSeoun4 qlnsPl o

nrluaf u1 pugnp '1e;1qd uere] un "'surluof, Ie-lu 'eg -zproJe eo

llzodrur ru1uad rnlnjard EerrsrurouoJa'e;eruJn utrd'tS InlnJl-euuad Inrururu nc raiagerdns Inunxpur gzea1uercZ 'untq8

-unldarp ep euroJ elelueJrp erlurp 'rn1n1er1pd ee;a3a1y

'rierlpd uJeu OOSZ = 0SXOS alsa laruru

rprrt ]lnru elsa ErJe 'gE eaurrilpq IS 0S ezeqn) ac duttl u1

. --_1.' =,(!'0091 = 0Zx0g else PrJe 'g7eaw

06x01 ep alse eue'96 eau4i1pu1

07

0,

'ep8a eIUrqPI eteot';

1gc ed tPI ep IeJ EI elsa aref, Ief e

'lel IEru 1s puncs mu ag 'lsn-8

-1de-rp ap rrndq elelueJ.rp erPS ernqoJl'I3un1e'ls'P[qls

Es IaJA 'e1e1da'tp gunq

1e

'dnqcla>1 qind nc I3 H

'ElelES Ie ad ^rUnJ

ps lnaru InueJel Ef, nEar^ I

rnprq8unldarp e rS'eur:

2erc1atdle^ EULIoJ

ru1ued J:1aru ep 002 ap tueur

erunJ o pp os d t6 nou urgrqr urun q6e n1'cqdxa fiqs 1od q:e1

a3

Page 11: Domnul patrat. La pas prin lumea geometriei - Anna Cerasoli patrat. La... · 2020. 9. 30. · ti ilrdor un rSn1o1 rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud ps ernqerl

lntolldY)

/-' ,\cnJ()

&

Page 12: Domnul patrat. La pas prin lumea geometriei - Anna Cerasoli patrat. La... · 2020. 9. 30. · ti ilrdor un rSn1o1 rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud ps ernqerl

auen nu'lupurf,sec'euelP1u PlspalB ul eiullsounl ep

nrlsou InpelS lolrsprurn PlEle re-el Aele rnun IE pf,IlP1ualpul

ap mlnlelpf, eensqS rs qsnJlslp lsoJ u EA PJlseou EIiezITIAIs

'rue ep mu elelgo alsad 'runc rS ec alsg 'puealdrSa BJIletu

-elptu welseounl ps glnle au aualqord ap l8 elsef,p 'eulq lg'porlprualpru ap aualqoJd ap trg suJS E 'pru:n ul tue ep 11ru

n:1ed ep eurq reur nf, llpll e e;ef, 'seulqv orunup un 'tt1eu-t

rcurc elsad urind ap aun8unl o puglp 'snrded 1sa3e ul'O0Bt

1nue ul'ldl3g ul Ioxnl el lrsq8 e-1'za13ua un'pulq5 Inuuopa;ec ad snrdpd un a:dsep pqrol elsg'puqg suded Inrqelel'luesJJJlur JueoJ 'aupoJ enal elpre ron rir 'e;puol utp urnJs

-nW qsrlug EI plppoerl a8raru ruol p3ep 'psu1 'aluzardar

Il ps erer ernlels o plsxe pcep nr16 nu'snds eU InJp^apV -cla nJ ernlpls

o rig-re nu1'uealdr8g lnaznpi el rua8raru reru qf,pg 'ue Inru-r:d urp rac ed rpop putppr8 ul alruul q eJeJ 'prlseou pelpoJ

-larrp Bf, nN'r1p1da-rpau eerqJ nu pr nrlued ipqeerl ep arpl

drt un tsoJ U qs ernqert'e1e8a alBrlpd ellnru u1a1r-rnlugrugd

lrirpdug p aref, 1ac 'uealdr8a uoere3 IarB 'JInJIunq 'llls -

(.

qo

Page 13: Domnul patrat. La pas prin lumea geometriei - Anna Cerasoli patrat. La... · 2020. 9. 30. · ti ilrdor un rSn1o1 rep 'Juaf,selope-edeo-rde-1rdoc ug igdoc un luns gc rdacud ps ernqerl

{:

ztozlAeleT

el aunrsnue eeJe nl rS lnzpn rV lerrel adlnzgc p aJE:l AISEIU

Juoaleru rnun ezner urp lnrpdsrp U ES pqrsod aJSa pf, nlls

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