Permutation Cipher
In classical cryptography, a permutation cipher is a transposition cipher in which the key is a permutation.
To apply a cipher, a random permutation of size E is generated (the larger the value of E the more secure the cipher).
The plaintext is then broken into segments of size E and the letters within that segment are permuted according to
this key.
In theory, any transposition cipher can be viewed as a permutation cipher where E is equal to the
length of the plaintext; this is too cumbersome a generalisation to use in actual practice, however.
The idea behind a permutation cipher is to keep the plaintext characters unchanged,
butalter their positions by rearrangement using a permutation
This cipher is defined as: Let m be a positive integer, and K consist of all permutations of {1,...,m}
For a key (permutation) , define:
The encryption function
The decryption function
A small example, assuming m = 6, and the key is the permutation
:
The first row is the value of i,
and the second row is the corresponding value of (i)
The inverse permutation, is constructed by interchanging the two rows,
andrearranging the columns so that the first row is in increasing order, Therefore, is:
Total variation formula:
e = 2,718281828 , n - plaintext length
Plaintext: bogmire
| all 5040 cipher variations: |
|
| bogmire
| | bogmier
| | bogmrie
| | bogmrei
| | bogmeri
| | bogmeir
| | bogimre
| | bogimer
| | bogirme
| | bogirem
| | bogierm
|
| bogiemr
| | bogrime
| | bogriem
| | bogrmie
| | bogrmei
| | bogremi
| | bogreim
| | bogeirm
| | bogeimr
| | bogerim
| | bogermi
|
| bogemri
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| | bomgire
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| | bomigre
| | bomiger
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|
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| | bomeirg
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|
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|
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|
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|
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| | bgomire
|
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| | bgoimre
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| | bgmireo
|
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| | bgmieor
| | bgmrioe
| | bgmrieo
| | bgmroie
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| | bgmeior
| | bgmerio
|
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|
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| | bgirmeo
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| | bgieorm
|
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| | bgiermo
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| | bgiemor
| | bgrmioe
| | bgrmieo
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|
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| | bgriome
| | bgrioem
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|
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|
| bmgrieo
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| | bmgreio
| | bmgeiro
| | bmgeior
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|
| bmogire
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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| | omrbige
| | omrbieg
|
| omrbgie
| | omrbgei
| | omrbegi
| | omrbeig
| | omribge
| | omribeg
| | omrigbe
| | omrigeb
| | omriegb
| | omriebg
| | omrgibe
|
| omrgieb
| | omrgbie
| | omrgbei
| | omrgebi
| | omrgeib
| | omreigb
| | omreibg
| | omregib
| | omregbi
| | omrebgi
| | omrebig
|
| omebirg
| | omebigr
| | omebrig
| | omebrgi
| | omebgri
| | omebgir
| | omeibrg
| | omeibgr
| | omeirbg
| | omeirgb
| | omeigrb
|
| omeigbr
| | omeribg
| | omerigb
| | omerbig
| | omerbgi
| | omergbi
| | omergib
| | omegirb
| | omegibr
| | omegrib
| | omegrbi
|
| omegbri
| | omegbir
| | oigmbre
| | oigmber
| | oigmrbe
| | oigmreb
| | oigmerb
| | oigmebr
| | oigbmre
| | oigbmer
| | oigbrme
|
| oigbrem
| | oigberm
| | oigbemr
| | oigrbme
| | oigrbem
| | oigrmbe
| | oigrmeb
| | oigremb
| | oigrebm
| | oigebrm
| | oigebmr
|
| oigerbm
| | oigermb
| | oigemrb
| | oigembr
| | oimgbre
| | oimgber
| | oimgrbe
| | oimgreb
| | oimgerb
| | oimgebr
| | oimbgre
|
| oimbger
| | oimbrge
| | oimbreg
| | oimberg
| | oimbegr
| | oimrbge
| | oimrbeg
| | oimrgbe
| | oimrgeb
| | oimregb
| | oimrebg
|
| oimebrg
| | oimebgr
| | oimerbg
| | oimergb
| | oimegrb
| | oimegbr
| | oibmgre
| | oibmger
| | oibmrge
| | oibmreg
| | oibmerg
|
| oibmegr
| | oibgmre
| | oibgmer
| | oibgrme
| | oibgrem
| | oibgerm
| | oibgemr
| | oibrgme
| | oibrgem
| | oibrmge
| | oibrmeg
|
| oibremg
| | oibregm
| | oibegrm
| | oibegmr
| | oibergm
| | oibermg
| | oibemrg
| | oibemgr
| | oirmbge
| | oirmbeg
| | oirmgbe
|
| oirmgeb
| | oirmegb
| | oirmebg
| | oirbmge
| | oirbmeg
| | oirbgme
| | oirbgem
| | oirbegm
| | oirbemg
| | oirgbme
| | oirgbem
|
| oirgmbe
| | oirgmeb
| | oirgemb
| | oirgebm
| | oirebgm
| | oirebmg
| | oiregbm
| | oiregmb
| | oiremgb
| | oirembg
| | oiembrg
|
| oiembgr
| | oiemrbg
| | oiemrgb
| | oiemgrb
| | oiemgbr
| | oiebmrg
| | oiebmgr
| | oiebrmg
| | oiebrgm
| | oiebgrm
| | oiebgmr
|
| oierbmg
| | oierbgm
| | oiermbg
| | oiermgb
| | oiergmb
| | oiergbm
| | oiegbrm
| | oiegbmr
| | oiegrbm
| | oiegrmb
| | oiegmrb
|
| oiegmbr
| | orgmibe
| | orgmieb
| | orgmbie
| | orgmbei
| | orgmebi
| | orgmeib
| | orgimbe
| | orgimeb
| | orgibme
| | orgibem
|
| orgiebm
| | orgiemb
| | orgbime
| | orgbiem
| | orgbmie
| | orgbmei
| | orgbemi
| | orgbeim
| | orgeibm
| | orgeimb
| | orgebim
|
| orgebmi
| | orgembi
| | orgemib
| | ormgibe
| | ormgieb
| | ormgbie
| | ormgbei
| | ormgebi
| | ormgeib
| | ormigbe
| | ormigeb
|
| ormibge
| | ormibeg
| | ormiebg
| | ormiegb
| | ormbige
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| | ormbgie
| | ormbgei
| | ormbegi
| | ormbeig
| | ormeibg
|
| ormeigb
| | ormebig
| | ormebgi
| | ormegbi
| | ormegib
| | orimgbe
| | orimgeb
| | orimbge
| | orimbeg
| | orimebg
| | orimegb
|
| origmbe
| | origmeb
| | origbme
| | origbem
| | origebm
| | origemb
| | oribgme
| | oribgem
| | oribmge
| | oribmeg
| | oribemg
|
| oribegm
| | oriegbm
| | oriegmb
| | oriebgm
| | oriebmg
| | oriembg
| | oriemgb
| | orbmige
| | orbmieg
| | orbmgie
| | orbmgei
|
| orbmegi
| | orbmeig
| | orbimge
| | orbimeg
| | orbigme
| | orbigem
| | orbiegm
| | orbiemg
| | orbgime
| | orbgiem
| | orbgmie
|
| orbgmei
| | orbgemi
| | orbgeim
| | orbeigm
| | orbeimg
| | orbegim
| | orbegmi
| | orbemgi
| | orbemig
| | oremibg
| | oremigb
|
| orembig
| | orembgi
| | oremgbi
| | oremgib
| | oreimbg
| | oreimgb
| | oreibmg
| | oreibgm
| | oreigbm
| | oreigmb
| | orebimg
|
| orebigm
| | orebmig
| | orebmgi
| | orebgmi
| | orebgim
| | oregibm
| | oregimb
| | oregbim
| | oregbmi
| | oregmbi
| | oregmib
|
| oegmirb
| | oegmibr
| | oegmrib
| | oegmrbi
| | oegmbri
| | oegmbir
| | oegimrb
| | oegimbr
| | oegirmb
| | oegirbm
| | oegibrm
|
| oegibmr
| | oegrimb
| | oegribm
| | oegrmib
| | oegrmbi
| | oegrbmi
| | oegrbim
| | oegbirm
| | oegbimr
| | oegbrim
| | oegbrmi
|
| oegbmri
| | oegbmir
| | oemgirb
| | oemgibr
| | oemgrib
| | oemgrbi
| | oemgbri
| | oemgbir
| | oemigrb
| | oemigbr
| | oemirgb
|
| oemirbg
| | oemibrg
| | oemibgr
| | oemrigb
| | oemribg
| | oemrgib
| | oemrgbi
| | oemrbgi
| | oemrbig
| | oembirg
| | oembigr
|
| oembrig
| | oembrgi
| | oembgri
| | oembgir
| | oeimgrb
| | oeimgbr
| | oeimrgb
| | oeimrbg
| | oeimbrg
| | oeimbgr
| | oeigmrb
|
| oeigmbr
| | oeigrmb
| | oeigrbm
| | oeigbrm
| | oeigbmr
| | oeirgmb
| | oeirgbm
| | oeirmgb
| | oeirmbg
| | oeirbmg
| | oeirbgm
|
| oeibgrm
| | oeibgmr
| | oeibrgm
| | oeibrmg
| | oeibmrg
| | oeibmgr
| | oermigb
| | oermibg
| | oermgib
| | oermgbi
| | oermbgi
|
| oermbig
| | oerimgb
| | oerimbg
| | oerigmb
| | oerigbm
| | oeribgm
| | oeribmg
| | oergimb
| | oergibm
| | oergmib
| | oergmbi
|
| oergbmi
| | oergbim
| | oerbigm
| | oerbimg
| | oerbgim
| | oerbgmi
| | oerbmgi
| | oerbmig
| | oebmirg
| | oebmigr
| | oebmrig
|
| oebmrgi
| | oebmgri
| | oebmgir
| | oebimrg
| | oebimgr
| | oebirmg
| | oebirgm
| | oebigrm
| | oebigmr
| | oebrimg
| | oebrigm
|
| oebrmig
| | oebrmgi
| | oebrgmi
| | oebrgim
| | oebgirm
| | oebgimr
| | oebgrim
| | oebgrmi
| | oebgmri
| | oebgmir
| | gobmire
|
| gobmier
| | gobmrie
| | gobmrei
| | gobmeri
| | gobmeir
| | gobimre
| | gobimer
| | gobirme
| | gobirem
| | gobierm
| | gobiemr
|
| gobrime
| | gobriem
| | gobrmie
| | gobrmei
| | gobremi
| | gobreim
| | gobeirm
| | gobeimr
| | goberim
| | gobermi
| | gobemri
|
| gobemir
| | gombire
| | gombier
| | gombrie
| | gombrei
| | gomberi
| | gombeir
| | gomibre
| | gomiber
| | gomirbe
| | gomireb
|
| gomierb
| | gomiebr
| | gomribe
| | gomrieb
| | gomrbie
| | gomrbei
| | gomrebi
| | gomreib
| | gomeirb
| | gomeibr
| | gomerib
|
| gomerbi
| | gomebri
| | gomebir
| | goimbre
| | goimber
| | goimrbe
| | goimreb
| | goimerb
| | goimebr
| | goibmre
| | goibmer
|
| goibrme
| | goibrem
| | goiberm
| | goibemr
| | goirbme
| | goirbem
| | goirmbe
| | goirmeb
| | goiremb
| | goirebm
| | goiebrm
|
| goiebmr
| | goierbm
| | goiermb
| | goiemrb
| | goiembr
| | gormibe
| | gormieb
| | gormbie
| | gormbei
| | gormebi
| | gormeib
|
| gorimbe
| | gorimeb
| | goribme
| | goribem
| | goriebm
| | goriemb
| | gorbime
| | gorbiem
| | gorbmie
| | gorbmei
| | gorbemi
|
| gorbeim
| | goreibm
| | goreimb
| | gorebim
| | gorebmi
| | gorembi
| | goremib
| | goemirb
| | goemibr
| | goemrib
| | goemrbi
|
| goembri
| | goembir
| | goeimrb
| | goeimbr
| | goeirmb
| | goeirbm
| | goeibrm
| | goeibmr
| | goerimb
| | goeribm
| | goermib
|
| goermbi
| | goerbmi
| | goerbim
| | goebirm
| | goebimr
| | goebrim
| | goebrmi
| | goebmri
| | goebmir
| | gbomire
| | gbomier
|
| gbomrie
| | gbomrei
| | gbomeri
| | gbomeir
| | gboimre
| | gboimer
| | gboirme
| | gboirem
| | gboierm
| | gboiemr
| | gborime
|
| gboriem
| | gbormie
| | gbormei
| | gboremi
| | gboreim
| | gboeirm
| | gboeimr
| | gboerim
| | gboermi
| | gboemri
| | gboemir
|
| gbmoire
| | gbmoier
| | gbmorie
| | gbmorei
| | gbmoeri
| | gbmoeir
| | gbmiore
| | gbmioer
| | gbmiroe
| | gbmireo
| | gbmiero
|
| gbmieor
| | gbmrioe
| | gbmrieo
| | gbmroie
| | gbmroei
| | gbmreoi
| | gbmreio
| | gbmeiro
| | gbmeior
| | gbmerio
| | gbmeroi
|
| gbmeori
| | gbmeoir
| | gbimore
| | gbimoer
| | gbimroe
| | gbimreo
| | gbimero
| | gbimeor
| | gbiomre
| | gbiomer
| | gbiorme
|
| gbiorem
| | gbioerm
| | gbioemr
| | gbirome
| | gbiroem
| | gbirmoe
| | gbirmeo
| | gbiremo
| | gbireom
| | gbieorm
| | gbieomr
|
| gbierom
| | gbiermo
| | gbiemro
| | gbiemor
| | gbrmioe
| | gbrmieo
| | gbrmoie
| | gbrmoei
| | gbrmeoi
| | gbrmeio
| | gbrimoe
|
| gbrimeo
| | gbriome
| | gbrioem
| | gbrieom
| | gbriemo
| | gbroime
| | gbroiem
| | gbromie
| | gbromei
| | gbroemi
| | gbroeim
|
| gbreiom
| | gbreimo
| | gbreoim
| | gbreomi
| | gbremoi
| | gbremio
| | gbemiro
| | gbemior
| | gbemrio
| | gbemroi
| | gbemori
|
| gbemoir
| | gbeimro
| | gbeimor
| | gbeirmo
| | gbeirom
| | gbeiorm
| | gbeiomr
| | gberimo
| | gberiom
| | gbermio
| | gbermoi
|
| gberomi
| | gberoim
| | gbeoirm
| | gbeoimr
| | gbeorim
| | gbeormi
| | gbeomri
| | gbeomir
| | gmboire
| | gmboier
| | gmborie
|
| gmborei
| | gmboeri
| | gmboeir
| | gmbiore
| | gmbioer
| | gmbiroe
| | gmbireo
| | gmbiero
| | gmbieor
| | gmbrioe
| | gmbrieo
|
| gmbroie
| | gmbroei
| | gmbreoi
| | gmbreio
| | gmbeiro
| | gmbeior
| | gmberio
| | gmberoi
| | gmbeori
| | gmbeoir
| | gmobire
|
| gmobier
| | gmobrie
| | gmobrei
| | gmoberi
| | gmobeir
| | gmoibre
| | gmoiber
| | gmoirbe
| | gmoireb
| | gmoierb
| | gmoiebr
|
| gmoribe
| | gmorieb
| | gmorbie
| | gmorbei
| | gmorebi
| | gmoreib
| | gmoeirb
| | gmoeibr
| | gmoerib
| | gmoerbi
| | gmoebri
|
| gmoebir
| | gmiobre
| | gmiober
| | gmiorbe
| | gmioreb
| | gmioerb
| | gmioebr
| | gmibore
| | gmiboer
| | gmibroe
| | gmibreo
|
| gmibero
| | gmibeor
| | gmirboe
| | gmirbeo
| | gmirobe
| | gmiroeb
| | gmireob
| | gmirebo
| | gmiebro
| | gmiebor
| | gmierbo
|
| gmierob
| | gmieorb
| | gmieobr
| | gmroibe
| | gmroieb
| | gmrobie
| | gmrobei
| | gmroebi
| | gmroeib
| | gmriobe
| | gmrioeb
|
| gmriboe
| | gmribeo
| | gmriebo
| | gmrieob
| | gmrbioe
| | gmrbieo
| | gmrboie
| | gmrboei
| | gmrbeoi
| | gmrbeio
| | gmreibo
|
| gmreiob
| | gmrebio
| | gmreboi
| | gmreobi
| | gmreoib
| | gmeoirb
| | gmeoibr
| | gmeorib
| | gmeorbi
| | gmeobri
| | gmeobir
|
| gmeiorb
| | gmeiobr
| | gmeirob
| | gmeirbo
| | gmeibro
| | gmeibor
| | gmeriob
| | gmeribo
| | gmeroib
| | gmerobi
| | gmerboi
|
| gmerbio
| | gmebiro
| | gmebior
| | gmebrio
| | gmebroi
| | gmebori
| | gmeboir
| | gibmore
| | gibmoer
| | gibmroe
| | gibmreo
|
| gibmero
| | gibmeor
| | gibomre
| | gibomer
| | giborme
| | giborem
| | giboerm
| | giboemr
| | gibrome
| | gibroem
| | gibrmoe
|
| gibrmeo
| | gibremo
| | gibreom
| | gibeorm
| | gibeomr
| | giberom
| | gibermo
| | gibemro
| | gibemor
| | gimbore
| | gimboer
|
| gimbroe
| | gimbreo
| | gimbero
| | gimbeor
| | gimobre
| | gimober
| | gimorbe
| | gimoreb
| | gimoerb
| | gimoebr
| | gimrobe
|
| gimroeb
| | gimrboe
| | gimrbeo
| | gimrebo
| | gimreob
| | gimeorb
| | gimeobr
| | gimerob
| | gimerbo
| | gimebro
| | gimebor
|
| giombre
| | giomber
| | giomrbe
| | giomreb
| | giomerb
| | giomebr
| | giobmre
| | giobmer
| | giobrme
| | giobrem
| | gioberm
|
| giobemr
| | giorbme
| | giorbem
| | giormbe
| | giormeb
| | gioremb
| | giorebm
| | gioebrm
| | gioebmr
| | gioerbm
| | gioermb
|
| gioemrb
| | gioembr
| | girmobe
| | girmoeb
| | girmboe
| | girmbeo
| | girmebo
| | girmeob
| | girombe
| | giromeb
| | girobme
|
| girobem
| | giroebm
| | giroemb
| | girbome
| | girboem
| | girbmoe
| | girbmeo
| | girbemo
| | girbeom
| | gireobm
| | gireomb
|
| girebom
| | girebmo
| | girembo
| | giremob
| | giemorb
| | giemobr
| | giemrob
| | giemrbo
| | giembro
| | giembor
| | gieomrb
|
| gieombr
| | gieormb
| | gieorbm
| | gieobrm
| | gieobmr
| | gieromb
| | gierobm
| | giermob
| | giermbo
| | gierbmo
| | gierbom
|
| gieborm
| | giebomr
| | giebrom
| | giebrmo
| | giebmro
| | giebmor
| | grbmioe
| | grbmieo
| | grbmoie
| | grbmoei
| | grbmeoi
|
| grbmeio
| | grbimoe
| | grbimeo
| | grbiome
| | grbioem
| | grbieom
| | grbiemo
| | grboime
| | grboiem
| | grbomie
| | grbomei
|
| grboemi
| | grboeim
| | grbeiom
| | grbeimo
| | grbeoim
| | grbeomi
| | grbemoi
| | grbemio
| | grmbioe
| | grmbieo
| | grmboie
|
| grmboei
| | grmbeoi
| | grmbeio
| | grmiboe
| | grmibeo
| | grmiobe
| | grmioeb
| | grmieob
| | grmiebo
| | grmoibe
| | grmoieb
|
| grmobie
| | grmobei
| | grmoebi
| | grmoeib
| | grmeiob
| | grmeibo
| | grmeoib
| | grmeobi
| | grmeboi
| | grmebio
| | grimboe
|
| grimbeo
| | grimobe
| | grimoeb
| | grimeob
| | grimebo
| | gribmoe
| | gribmeo
| | gribome
| | griboem
| | gribeom
| | gribemo
|
| griobme
| | griobem
| | griombe
| | griomeb
| | grioemb
| | grioebm
| | griebom
| | griebmo
| | grieobm
| | grieomb
| | griemob
|
| griembo
| | gromibe
| | gromieb
| | grombie
| | grombei
| | gromebi
| | gromeib
| | groimbe
| | groimeb
| | groibme
| | groibem
|
| groiebm
| | groiemb
| | grobime
| | grobiem
| | grobmie
| | grobmei
| | grobemi
| | grobeim
| | groeibm
| | groeimb
| | groebim
|
| groebmi
| | groembi
| | groemib
| | gremiob
| | gremibo
| | gremoib
| | gremobi
| | gremboi
| | grembio
| | greimob
| | greimbo
|
| greiomb
| | greiobm
| | greibom
| | greibmo
| | greoimb
| | greoibm
| | greomib
| | greombi
| | greobmi
| | greobim
| | grebiom
|
| grebimo
| | greboim
| | grebomi
| | grebmoi
| | grebmio
| | gebmiro
| | gebmior
| | gebmrio
| | gebmroi
| | gebmori
| | gebmoir
|
| gebimro
| | gebimor
| | gebirmo
| | gebirom
| | gebiorm
| | gebiomr
| | gebrimo
| | gebriom
| | gebrmio
| | gebrmoi
| | gebromi
|
| gebroim
| | geboirm
| | geboimr
| | geborim
| | gebormi
| | gebomri
| | gebomir
| | gembiro
| | gembior
| | gembrio
| | gembroi
|
| gembori
| | gemboir
| | gemibro
| | gemibor
| | gemirbo
| | gemirob
| | gemiorb
| | gemiobr
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|
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|
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|
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|
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|
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|
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|
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|
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| | mogbire
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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| | rogmibe
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|
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