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: goutify
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| otuifgy
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| oitguyf
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| oitygfu
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| oigtyuf
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| oiftuyg
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| | oifugty
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| oifutgy
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| oiytguf
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| | oiygftu
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| oiyfgtu
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| oiyutgf
| | ofutigy
| | ofutiyg
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| | ofutgyi
| | ofutygi
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| | ofuitgy
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| | ofuigty
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| ofuiygt
| | ofuiytg
| | ofugity
| | ofugiyt
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| | ofugtyi
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| | ofuyigt
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| ofuygti
| | ofuytgi
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| | oftuigy
| | oftuiyg
| | oftugiy
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| oftiguy
| | oftigyu
| | oftiygu
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| | oftguyi
| | oftgyui
| | oftgyiu
| | oftyigu
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| oftyiug
| | oftygiu
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| | ofitugy
| | ofituyg
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| ofiutgy
| | ofiutyg
| | ofiugty
| | ofiugyt
| | ofiuygt
| | ofiuytg
| | ofiguty
| | ofiguyt
| | ofigtuy
| | ofigtyu
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| ofigyut
| | ofiyugt
| | ofiyutg
| | ofiygut
| | ofiygtu
| | ofiytgu
| | ofiytug
| | ofgtiuy
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| | ofgtuyi
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| ofgtyui
| | ofgtyiu
| | ofgituy
| | ofgityu
| | ofgiuty
| | ofgiuyt
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| | ofgutiy
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| ofgutyi
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| | ofguyit
| | ofgyiut
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| | ofgyuit
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| | ofytigu
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| ofytgiu
| | ofytgui
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| | ofytuig
| | ofyitgu
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| | ofyigtu
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| | ofyiutg
| | ofygitu
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| ofygiut
| | ofygtiu
| | ofygtui
| | ofyguti
| | ofyguit
| | ofyuigt
| | ofyuitg
| | ofyugit
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| | ofyutgi
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| oyutifg
| | oyutigf
| | oyutfig
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| | oyuitfg
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| oyuigtf
| | oyufitg
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| oyugtfi
| | oyugtif
| | oytuifg
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| oytifgu
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| oytgfiu
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| oyiutgf
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| oyiguft
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| | oygitfu
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| | uogtify
|
| uogtiyf
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| uogfity
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| uogytif
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| uotiyfg
| | uotiygf
| | uotfigy
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| | ugotify
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| ugiofyt
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| ugiyfot
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|
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| ugfyiot
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| | uiftogy
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| | uiytofg
| | uiytogf
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| uiyotgf
| | uiyoftg
| | uiyofgt
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| uiygoft
| | uiygotf
| | uiygfot
| | uiygfto
| | uiygtfo
| | uiygtof
| | ufgtioy
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| ufgtyio
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| ufgoyti
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| | uftgioy
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| uftgoyi
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| uftogiy
| | uftogyi
| | uftoygi
| | uftoyig
| | uftyiog
| | uftyigo
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| | uftygio
| | ufitgoy
|
| ufitgyo
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| | ufigtoy
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|
| ufiogty
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|
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|
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|
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|
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|
| ufygito
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| | uygtifo
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| | uygtofi
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|
| uygitfo
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| | uygifto
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|
| uygfoit
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|
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| | uytfigo
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|
| uytfgoi
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|
| uyitfgo
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|
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|
| uyftigo
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| | uyfigto
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|
| uyfiotg
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| | uyfgtoi
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|
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| | uyotgif
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|
| uyoifgt
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|
| uyogfit
| | uyogfti
| | uyogtfi
| | uyogtif
| | tougify
| | tougiyf
| | tougfiy
| | tougfyi
| | tougyfi
| | tougyif
| | touigfy
|
| touigyf
| | touifgy
| | touifyg
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| | touiygf
| | toufigy
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|
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| | touyfig
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| | touygfi
| | touygif
| | toguify
| | toguiyf
| | togufiy
| | togufyi
| | toguyfi
|
| toguyif
| | togiufy
| | togiuyf
| | togifuy
| | togifyu
| | togiyfu
| | togiyuf
| | togfiuy
| | togfiyu
| | togfuiy
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| togfyui
| | togfyiu
| | togyifu
| | togyiuf
| | togyfiu
| | togyfui
| | togyufi
| | togyuif
| | toigufy
| | toiguyf
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|
| toigfyu
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| | toiuyfg
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| | toifugy
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| toifguy
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|
| tofgiyu
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| | tofiguy
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| | tofiugy
| | tofiuyg
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|
| tofuigy
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|
| tofygiu
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| | toyguif
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|
| toyiufg
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| | toyfigu
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|
| toyufgi
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| | tuogify
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| | tuogyif
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|
| tuoifgy
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|
| tuoyigf
| | tuoyfig
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| | tuoygif
| | tugoify
| | tugoiyf
| | tugofiy
| | tugofyi
| | tugoyfi
| | tugoyif
|
| tugiofy
| | tugioyf
| | tugifoy
| | tugifyo
| | tugiyfo
| | tugiyof
| | tugfioy
| | tugfiyo
| | tugfoiy
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|
| tugfyio
| | tugyifo
| | tugyiof
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| | tugyfoi
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| | tugyoif
| | tuigofy
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|
| tuigyfo
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|
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|
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|
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|
| tuygifo
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|
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| | tuyfigo
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|
| tuyogfi
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| | tguoify
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|
| tguifyo
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| | tguyifo
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|
| tguyfio
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|
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|
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|
| tgioyuf
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|
| tgifyou
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|
| tgfouyi
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|
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|
| tgyoiuf
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|
| tgyfiou
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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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|
| tiofyug
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| | tifgouy
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|
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|
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| | tifyoug
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| | tifyuog
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|
| tiygfou
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| | tiyfogu
|
| tiyfoug
| | tiyfgou
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| | tiyuogf
| | tiyufog
| | tiyufgo
| | tiyugfo
| | tiyugof
|
| tfugioy
| | tfugiyo
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| | tfuiogy
| | tfuioyg
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|
| tfuiygo
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| | tfuyiog
| | tfuyigo
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|
| tfuygoi
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|
| tfgioyu
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| | tfgyiou
| | tfgyiuo
|
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| | tfiguoy
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| | tfigyuo
| | tfiugoy
|
| tfiugyo
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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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|
| tyufigo
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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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| | tyoguif
| | tyoigfu
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|
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| | ioutgfy
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|
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| | iougtyf
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|
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|
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|
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| | ioftguy
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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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|
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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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| | yfiogut
| | yfiguot
| | yfiguto
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| | yfotiug
|
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| | yfotuig
| | yfotugi
| | yfotgui
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|
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| | yfouigt
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| | yfougti
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| | yfogitu
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|
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| | yfgtiou
| | yfgtiuo
| | yfgtoiu
| | yfgtoui
| | yfgtuoi
| | yfgtuio
| | yfgitou
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|
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| | yfgiuto
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| | yfgotiu
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|
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| | ygutifo
| | ygutiof
| | ygutfio
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| | ygutoif
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| | yguitof
|
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| | yguifot
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| | yguiotf
| | ygufito
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| | yguftio
| | yguftoi
| | ygufoti
| | ygufoit
| | yguoift
|
| yguoitf
| | yguofit
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