Details Page for 0.3656

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1026
P-Portion Size:   2
Tame?   Yes

MSV File: q-0.3656.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
362
7102
12182
36342
138662
3881302
9882582
39255142
1420110262

(Click on a heap to see details)

Details for Q14201(0.3656):

Q = <a,b,c,d,e,f,g,h,i,j | a2=1, b3=b, b2c=c, c2=b2, b2d=d, d2=b2, b2e=e, e2=b2, b2f=f, f2=b2, b2g=g, g2=b2, b2h=h, h2=b2, b2i=i, i2=b2, b2j=j, j2=b2>

P = {a, b2}

Phi = 1 a 1 b a ab b c ac bc c abc d ad b ab ab2 b cd acd abc c ac abc c d b ab abd b ab2 cd acd bcd abc abd e bd d ad b ab bcd acd c ac bc abc d bd ad d e ae acd bcd cd c ce ace d abd ad d abd e ae cd acd bcd ce ace bce abd d ad abd e bcd acd cd bcd acd bce b bd d c ac e abc acd cd bcd acd ace ab b d ad c e ac c be acd ce ace b ce bce ad d abc ae bcd be abe ab2 abce b ab abd de ade abc be e ae cde bcde abcde ab ce ace de bde abc f af bf be cde bcde cf acf bcf bde acd abde abc f abd c cde d acde cf bcd de ade cd acd abc f abd bd ad d cf acf bcf bcd acd de ade f af abd bd be abd cf acd acf ce de abce f af abd cde ae be abe bcd abcd ade de ace ce abd f af abcde acde e ae be abc acf df ce b abd af abf cdf be abc e c acf ce ace ab b bf ab2 abf e c bc abc bcf abcf ace ce ab2 b bf acd af c ac abc adf aef ace ce bce abce bef acd bcd e ae be bcef acde d abd ce ace de acd cd bcd bf ae cde abd d cf abd df de acd cd bcd acd f cef bd d acde cf acf de acd cd de f af abef d ad abd d abc cf acd cd bcd acd f af cde d ad abd cf acf de adf ef acd bf ace abcde bcde acdf abd abc e be acf adf bcd abce abef ce af cdf cef abc e be abcf df adf aef ab ce abf acdf abcdf abc abd e adf bdf abcf aef b ab ace acdf abcdf abc cef e ae df abdf bdf ab2 ab aef abcdef acdf ae abc e acef d bcde bd b ab bef acd bcd abcf abcd f acef abcef g cde adf ef aef bcd bef acd bcef cef af f d bd abd g acdef cf cd bcd de abg g af d abd bd adg ef bef cf bcd acd acdef g acef abd bd cde def bef g df cd ef acd ace abg d bf def cde ae be acd df cdef de ce ace abce abdef bcef g cdg abe acd abcdef df cdef bce ace abce abdef bdef bcdf ae abe acg ae abcdef bef ce ace bce adg abcdg cdf bdef abc e acde bcg cde bdf ef ce ace bg bcg adef ae be acg abeg abcde cde ab bce abce ce ade bde bf bcef abcef eg acde bcde cde ef bcf acf de ade bde cef f acef acde cde bcde acde acf abcf bde de abde cef bcef af abf cde bcde aef cf acf abde de ade abde acg f abf cde acde bcde abc cf ef de ade abde acg deg def acde cde bcde eg acg bef abde ade bdf abde aceg abceg def cde acdf adg acg bcg adf acf df adf bdf bceg bdef cdf abcdf abe acg adg cdg bdf adf df ab g ag cdf adef acdf abc cg acg bcg df adf bdf bcf cf g abg cdf ae bcd acg bcg abeg df bd ce abcf bdg abcdg ae abcd e bf abcef aeg bdg ce ace bcf acf g ae abcdg be acef f bf bdg adg ce cf acf abef adeg abcdg cdg abf f af acg adg bcf abcf cf de ade abcdg bcdg adeg f cde bcdeg bcg adg acf bfg bde de abcdg bcg bceg acef f bd adg cdeg abeg abcdeg cf bde adf cdef abfg bf acde bcde acdf cdf def abeg acg bde df adf ef g cde bcde bfg def abe aeg acg cg acdef df bdf g abg aceg bcdf bdef cdf cef bcg cg bcfg cf df abdf aef g abg cdf acdf bcdf cef cg abdf acg df abce ab2 ef bef aceg bdeg bc abc abd bcef acg bcg ab2 ab b abcd bcfg bcdf abc bc ac af bcg adg ce ab2 ab abcd abcf cdg abcdg acef cef bcef abd bcg adg bdg ef abcd acd bef abcdef abcdg abf bcef abcef bdef abdef adg bfg abef ef bcd bcdef cdg bceg abceg bd abd def acdeg adg bcg acd cd abcd cdef abdf abdeg bd ad cdf def abcdeg acg cg cd bcd df acdef abdf g d cde c def acg bcg bcd cdef acdef bdf abcdef g abg ceg def abc cdf abcef bcg bcdef cdef acdef efg abcdefg g bceg bdef c cdf aeg cg bf b ab2 ab abce g bcf abg adef c e f af cdeg bcdef b bce cf acf abcfg abc c ac af bf beg b ab adg cf bcf aef g bc cdg acef bf af abcg b adg aef cf abcf abdfg cdg abc acef f abf af cdf acdf ef acf abde cf bdf abdf cdg cef acde abcde e bcdf adg aeg de acd ade deg acef g acde bcde acdf cdf bcdf acg acd de abde df bdf cdg bcde cde acde bcde acdf fg cd acd de ade df acdg cdg g abcde cde abe cdf bcg abcg df bde bce bcf abg g ag cde be acdf abf acg cg bcg abce ce abdf aceg bg abg bcde abc af beg acg cg fg ce abce bcf ef ag g cdg abe f cef afg abcdeg ce h cf aef g bceg ae e acde af f afg acg bdg ace cf abdf cdg g acdg abe ae f bcef adg dg cf abce acf ef cdg bcdg e abe be abfg cdeg dg bdef de abde ace abcdg acdg bcdef acde h cde acdf def adg cdeg ade acd adf bcfg abcdef cdg bcde abcde cde acdf abcdfg bcdeg bcg abde acd de abdf g ag ceg cde bcdf acdf def acg eg abcefg de df abdf g bg ag cdf acdf abcdf bcef cg bcg df adf bcdef ef g ceg bcdf d cdf acdfg bcef cg abdf eg bcd bef aef abg acdf g be bdeg acef bcef acg abcg acdeg ab2 b ef aef g cdg c bf cef abcef adg dg bdg ce bcd ef aef abg bc be abe bf cefg bcg dg cdeg cf abde bef g abg cdg bcef acef bcefg bdg dg adg ce b acd aefg cdg acdg bcef d ad abd adg bfg abcdeg bcd acd b bdeg abdeg g dfg h d bcef cdfg adg acg abeg acd bcd df g bcfg bceg abd def d cdfg beg eg h acd ab2 df dfg g ceg d cde cdf abcefg eg acg bcdef acd bcd bdfg ag bg aefg adef abdef cdfg eg acg acdef cdef abde abcdef ceg aceg ag c bdef cef acef acg beg abeg b cdeg ab2 cfg aceg acfg bdeg deg acde bf abf f bdg cdeg ce bcf acfg bceg deg cdg adeg ae bcde acdeg bcdeg bdg ab2 cf acf abde cdg abcdg acef f af ae abfg abcdf cdeg aef b acf abcfg abcdg cdg abc af h adefg abcdeg cdeg aef b abh h abcdg adeg bdeg adh dh abcefg bfg abcdeg abeg abcdfg h adf abde de dfg ag abd abg cdf d cdfg aeg abeg h bde adf de aceg bceg def d abd bcde eg cg adg cdef de abde bdfg bg abceg bcdf acde abcdf abf acg cg bcg adf h abcf bde g cdg ch d abcdf abfg aeg eg bcd acd abde cf ceg aceg bdeg ch ach cef c af bcdfg acdeg h ah bef ce cfg bcdg adeg af abf bcdef aeg acefg cdeg acf bcf aef cfg bdeg ch c f cef abfg bcefg h bcdeg acf cdh efg beh abcdg deg bf abf dh acefg cefg bcdeg ef cdh bch aefg cdg bdeg bf f ach adh afg bdg abcdfg cdfg cdh bcdef ce acdef bceg abg bch acdf bcde bcdf bdg cdeg abcdfg bcg acd cdef bdfg bceg g bcde cdf abcdf bcdfg abcg cg eg adf bdf acdef abdfg g bch acde bcdf def bcg acg abdefg df abde adf ceh abg ag abcdf aefg adef abcdfg bcef abd adf bdf h aceh bg abcdf abg bcfg aefg cef cefg cg acg bdg adg h bcf bef g abcdg bdeg ch f af bcg fg adg bdg bcf acf ef cfg acfg abcdg ach acef bcef bfg fg acdeg h abef abcf aef cfg acdg bcdefg abf f acef abcefg dg abdg abh ef aef abcdg acdg abg cdefg cef bch abd bdg adg acefg abh abef df acdef acdg cdg abceg cef acdf cdf dg acg adg h cdef bdf acd adfg ceg ch h cdf abcdf abcdfg acg aeg abcdh bcdef ef acdef adfg g bdfg bdef abcf abdef acdfg cdfg abfg bcdef abcdef cdef g befg adh g acdf def eh acg bcg acdeg cdef bcdef abef bcfg aceg acfg cfg ach acef eh cg beg fg abcdeg cdef aef efg g abg bdeg bdef abf acef abcef adg abcdeg ah cdef ef abcf efg bcfg abdeg ch abf acef bfg fg aeg adefg bcf ef abcfg cdg deg ch acef f bcef adg bcdeg defg bef acdef ef ach bcdg cdg acef abf bcef abdh adg bdg abcdeg bef abef bcdh abce adeg dfg abcef adh adef adg acdfg acg abeg cdh abcdh cdg acdg g abceg deg dh adef acdf acde beg acdfg acdh adf df bdf deg ag dh abdef cdf acdf bcg abeg ch abdf df acdef acfg ceg abceg h def abcdf adefg cg acg bfg acdef df adf g abdfg abcfg d def bcdf ch acg eg abfg ceh ah g bceg abg acfg cdg abcef ach af bf aeg abcefg h abdf adf aceg acf ceg ch ach f af abeg aeg acefg h abef ef adeg cdg acfg aefg f bch bfg acdeg bcdeg adefg aef h acf cfg aceg bdeg cdefg ach cef acdeg cdeg afg abcdeg abdefg acf cdh adeg acdg bceg ch dh adh adg abcdeg defg bce cdh acf acdh bdfg cdg g bg dh af adef adg acg defg cdh acdh adf abcdef adfg acdefg cdefg adh cdf bcdf eg acg cdh bcefg h cdef abcdef g adfg ch ach abcdf adef acg eg acefg ah bh cdef g aefg aceg befg bdef adef aeg acefg acg bdefg bdf ah ef bef g bdeg befg acdf ch acg abfg abcg cefg ah h abef bg g cdg bcfg ach af eh abcg adg bdefg cf acf ceh bcf cdg efg ach bch bcef acef adg dg bdefg abdefg bh acde abcdg adeg cdefg ch bch af abcef adg bdg adefg h aef cdh abceh cdg dfg cdefg ch cef adef bdef acg acdfg aef abcdef acdef bcdg cdef cdefg acef cef adef abdef acg adg bcfh deh cdh bcdef abdf g bdfg dh def adh abdef cg acg abeg cdh acdh ceh adfg abg abceg dh def eh abcdf abcg aeg cdh bcdh ceh aceh aceg cdefg efg abcf cdf bdef acg bdefg adg abcfh h ah bh g abg abcdg ach bdef ch abcg cg dg acdef h bh ceh g abcf acfg bcfg ch ach abfg cg acg h ah bh cf abcf acdg beh bch ch ach af acg adg bh h ah abef cf cdg bdeg bch cef acefg adg dg cdeg ceh abh cdh deh adeg abcdg abceg adfg ach acef dg adg bdg abdeh h cdh abcf acdg abdf fh cdeh acef bf dg bcg beg cdfg cdh acdh bdeh acdef aceg ceg cdeh bdh adef def acg eg adeh h ah abcdef acdef g fh ch ach abeh bf cg bcfh bcdh cdh abcdef adf ag bceg g ach bdh bch eg cg bdg afg aceh h adf aceg bceg adeg adef ach abch cg acg cef bcdef h ah ceg bg cf bdeg bch abcdf aeh cdf abf bf h bh abh bcfg bef bg abdeg abch adh acef fg cg adg h abh bcfg abcf cf cdg deg ch abfg bfg abeg abdg bcdeg h abh cdh acf adeg bcdg fh bch abch adh cdeg cg bcdfg adefg h abcdh abcdfh abceg cdg bceg ach adh bdh abcdeg bdef cg abdeh bcdh cdh adfg bcdg acdef bdfg abdh dh bdh abcdf acdf bcdfg acfh ah cdh bdeg acdef ceg bcdeh dh bch abdef abcdf beg adefg cdh abceh abcdefg acdef g abg dh beh bch abdef eg acg abcg bcdh h abdf g ag cdg dh adef bch beh bdefg adg cef bcef abcdef abh ceh ef acde efg ach abch aeh c cg dg ceh ah abceh defh aef abcdg efg bch aeh cdefh bc c dg ah h abcdh acfg aef g ch bch abch af abcg bdg cdeg h ceh abefg ef g bcdg ach ch acefg af bdg bcg bdef h abcdh aefg abdeg cdg ag acdefg acdeh dh bcdeg abcgh acdf acdfg cfh acdh deh bcdef abcdef ag acdefg abdh bdh beh d abdef bdefg bdeh cdh ceh adf cdef cdg abceg dh beh abeh bcg acg abdg acdh cdh ceh acdef cdg abdeg adh ach bdh defg acg adg cdefh cdh acdh acdefg ag cdg acdg cdfh dh abch bch cg adg acefg cdh bh ceh abcdefg bg bcf adeg ach bch beh beg bf bfg h ceh abh cf acf cdg aeh eh bch aeh bdg abcg ceh aceh bceh adeh b acf cdg eh abch beh bcefg cefg bdg aceh abceh ceh acdg efg adeg beh abeh abch beh cefg dg cdfg h abh efg aefg adeg acdg afh adfg abch bcdeh abcdeh bdg acg cfh ceh h cdh bcdg abdf acdg fh abeh adh bdefg acdf cg acdfg abcdh cdh bcdefg abceg ceg abde bcdeh bdh dh dg def acg eg bdeh deh dfg adf g acfg bcdeh cdeh adefg cdfg cdf beg abdeh bdeh ceh abdfg g ag bdeg abcdeh ach beh bcg acg eg abcdeg abceh bceh bg abceg bceg adeg cdfh bcdfg cefh egh cg acdeg bcdeg aceh h gh acfg abcf bdeg ch ach abch afg be abe bcdeg h abh ceh bdeg bcf abcfg ch ach aeh fg be abe abh ceh h b cdg g aeh ch ach fg adg acg eg bceh abceh cfg cdg bceg afh aeh fh beh fg bf adg aeg abceh cfh acfg bcfg acdg adf dfg beh adh bcdeh abcdfg cg bcg bdfh abcdh bcdh bcdefh abdf abcd dfg adh dh bdh cdfg bcde bcdfg acfh cdh bcdh dfg acd bcd bfh adh bdh abcdfg cdfg cde bcg acdh cdh bdfg dfg g cdg befg dh defg acdfg abeg cg cefg dfh cdh bdfg adfg dfg bdeg cdfh dh cdfg abcdfg acdfg dg acg dfh h bh agh deg cdg aefg ach bch aeh abcdeg cg fg befh h bh agh aceg acdg aefg ch ach cefh dg adg fg ah h abh cfg acdg acfg ch ach bch fg afg ae bc abh bh aefg efg bcdg aceg bcdefg ch ach abegh dg adg defg bdefg cfh bcdh abefg g acdg cdefg ch adh bdh cdeg dg abcdfg defg cdh abcfh abdeh acdg bcdef acd abdh abeh bcdeh bd adef abdefg deh abcdh abceh adfg cdef bcd bcefh dh abdh acdfg acde abd bd acdh cdh adfg bg aceg de dh adh abeh cdfg acf abeg befh cfh cdh deh ceg acdg befg abcdfh dh abcdfg beh defg abdg cefg acfh acdh cdefh ag acdg acfg cfg acdeh eh cgh cg dg fg ah bceh abdeh bgh g abef bcfg ach abch adg af fg cefg h abh ceh efg acdg g bfh ch eh adg cg abcdeg abfg ceh ah efg cf acf abce abcdefg ch beh bdg fg bcefg adefg h ah befg abcdg bceg adfg eh aeh abeh acdegh adefg be cdf h ceh befh abceg bcdefg adf bde eh abeh bdh cg abcg cfh cdh acdh abcdh cdefg abcdef de acdeh adh bdh bcdeh cdf acde abcde cfh acdh dfg g deg de bcdeh adh aeh beg acg acde cde bdeh abceh cdefg g adeg bde abefg bdh adh abcgh beg afg fg abcfh bceh bh abdf aceg bceg cdeh acdeh abfh bcdfg beg f dfh adfh h agh adeg ceg ce bce ch abch cgh dg abe be h ah abefh deg cf ce bch aeh cefh dg abcdeg be bcdfg abh h aefh acfg bce cdefg abch ch bcefg afg cef eg abcdfg bh ceh efh ceg bg abg ch aeh bcefg abdgh beg abcg ceh aceh acdh cfh abceg ace dfg bch adh bcefh abdefg cg aeg cfh adef acdh aceg abcdg g abdfg afh bch adh cdfg cg cdf abcdfg abdeh cdh dfh de adf bdfg abdh beh ach acg abdef bd cdh abcdh bceh aceg abdf abdeg abde bdh adh acdeh bcdfg dg bfg dfh bdeh bcdh aceg acdef bcdg efg abdh dh acefh eg dg acdeg cefg bdfh abh aceh ceg aceg aefg ef ch aeh fg cg abcef abfg h ah abceg ceg b aefg ch bch acefh abeg abf abe aefh h ah acfg cdg abce ef ch ach bch adg bf abc adefg h ah deg abef ef cdefg bch ch fh beg adg acg defg h ceh cdgh aceg ce bdfg bch ach cdeh adg acg bcdfg defg abcdh abceh abceg abg bg cdg adh ach bcdeh eg acg abcdf adef ceh bceh ceg ag abcd df bde dh adefh bdg adg def bdfh cdh bcdh g bg acdef bdh cdfh adh abdefg acdeg acdf adg cdh adeh bceh acdg df de befg cdeh adh cdfh adef adg cef dfh cdh abceh abg g bcdg defh dh abch cgh dg cg afg aceh bceh abceh gh g cf acf ch ach acdeh dg cef f aceh ceh bceh ag abcdg abce abef eh aeh bfh bcg be egh abceh h ah cdg cf acf bceg ach eh bcefg bcef af acdfg bh abh ah ag aef bef fh afh ach abcg bcg acg befh acfh abh bdeh abceg bef adfg bdfg eh abeh cdfh cg abcg bcdfg acfh bcdh abceh bceg acdef bdf cdef acdeh ach cdeh bcg bcde bcdf adfh abg abcdh g df bdf acfg bdh adh abcdfg adg cdf cde adeh cdh aceh df abdf de bdeg dh ach dg bdef def bfg cdh h abh acegh cdg cf acfg dh aeh bcdeg bcdf abcg bfg bdeh abcdh cdg acdg adeg bce cdfh adh eh abdg adg cef bf abceh ah abh ag bcf ef acdfh aeh ch fh af bf dfh aceh h acfh acdg abcf cf bch ach aeh aegh cef be af bceh ah cdg ag acf abce abceg ach fh beg bcef f bdfh acfh bh g acegh ag aceg fh cefh bch bdefh cg acdf cdf ceh cfh aceg g abceg df adf acdef cdeh bcg aeg cdf egh acdh h bdeh g df adf bcdef bdh cdeh bcg eg cdf acdf cdh h adfg acdg df adf bcdef adh dh acdfg bcdf acde cdeg acfh acdh bdfg cdg abde df cdfh dh adh abcdeg abdef adef dfh acef bh deg cdg bcdef cf adh bdh abcdfh abcdeg dg af acdefh h acdh bdeg acdg cf aef bef ach abch acefg ae af bf bceh h abefh bcdg cf acf bcf ch ach adg af bf cef abh h cfg abceg cf aef fh abch afg beg bf abf h ceh abh bceg abg g abcf ch ach bdh eg cg bcef cdf h bh abceg g ag bdf bcdef ach beg cg acg abcdf bdef abdef bceg g ag adf df bcdef eh bdh acdfg bcdf acdf adef abceh deh abdfh deg adf df acefh bdh abeh acdfg cg acdf bdef acdh adfh adfg ag df abdf fh ach abcdeh bdefg dg adef cef acdh adeh cdefg cdg acdg acf abef ach adefg dg bdg af abf f adeg bcdg acdg bg bef abef aeh abcdeg dg abcef acef bcef abh aceh acdg bcdg cf ef bef ach beh bdg cg f bcef h cdh ceh bcdg aef bcf bef ach beh cg af bf cg h ceh ag abcf ef bdf abef abch eh cg acg cdf abcdf ah ceh abg g ag bcf df bdf eh cg acg cdf bcdf abcdf bh abg bg abdf df acdef bch cdfh abcg cg acdf cdf abcdh ceh adfg cdg adf df acdef abeh fh cdfg def bcdf cfh bcdh abceh adfg abg bdf adf fh acdeh defg bdg adg acdf af bcdh acdefg adfg cdg cdef acdef cf abcf cdfg dg adg f abf bcef cdh bcdg bceg cf abdf acf ach aegh adg abdg f acef cef cdg cegh cfg ef acf cf abch beh fg bf af cef aceh ah acdg aceg ef aef abef ch acefg eg abcef af bcef h deh befg abef abcf abdf beh ch bcdef acg af cg acdf ceh abh ceg g ag acdef ch bch abegh cg bcg af cdf bcdf h abceg bg abce adf df ch defh abcg beg acdf cdf def bdfh bceg deg df bdf abcdef ach abcg bcg acdf abcdf bdef cdh ah adeg abcdef df bcf ach adh acdfg cdeg abdef def cef abcef dfh dfg cdg ade 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begi cdh abdeh acdgh abcg acdi defh adh bcde defh bcdfi adi bdi acdegi acdh cdh bcegh abcdi acdi bgi adh bch abegh acdei aci adi bcdefh acdh abdeh acegh cdi abi adefh abcdeh cef cgh acdfgi adi bcdei begi bcdh bcdgh acfgh adei i cfi dh acef cgh fgh aci bci cgi h acfh dg acei i bcei abeh ch abcdg bcdg ci bci acfh abef ceh bdg i bi aeh bch eh aegh abcdegh ci aegi h ceh bcfh adegh i bi abch ch aeh aegh fgi aci aei adgi ah abcdefh bdegh abi i abcei ch dh aegh abdefgh ci abcdei ah bcdef cdefh abdegh dfgh cdi cdefi dh bdh abcdeh cdfgh bdi cdei abdgi cdh abcdh abcg cdi bcdi bdei abdh cdeh bdgh bg bci bdi adfh cdh abcdh aeg bdfi dfi abcdfh dh cdeh abegh bdi bci abcdefh abdeh cdh adeh dei acdi dfi cei adh bdh abdgh adi abei cefi cdh acdh bcdgh bdegh acei abi bcei adh eh bcgh abcgi ci aci cgi acdh ah cfgh i ai befi adef bch deg afgh ci aci aefh bh abh abdg i cei bcei cef bch abcgh ei ci aci h ah abh bcdeg i ai cdgi ch ach acdegh abci ci abcefi aceh bh cegh bcfgi acei bcei adegi abd abcdeh bcgh ei 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cefi abei abefg abfgi cdef ceh abcdefgh abefi bdei acfi abegh ch aeh dhi ei bdi acdfgi acegh ceh acdh cegi cdi abcdi bcdfgh eh dh aegi bcdei bg abcdfi ceh acdh cdh adfgi bcdi dei bcef abdh dh bdi abdi acdfi bdefi abef cdh dfh bcdgi bcdi abi bf be cdfh bcdfgi di aci cdefg abcf cdh acdhi dfi abcdi acdfg abcde be abcdfh abdgi bdefi bci abcdefg deh ah ahi abcdefi bcei abdefg cde dh abch bdefgi bcefi acdg de agh aceh cfh acfgi bi acfi bcde aeh ch ehi aci bci abcfgh bcfh h befh ai i acei def ach bch bci ci ei befg bh h ahi i bi cefg bcde ch eh cefi abcdg abcdei begi abh bh ahi ai bi acefg abeg bcde adh abcgi bci cfg abcegh bh abh acdhi dei abcdi adei begh adh dh aegi bg acdei acdfi abcdgh cdh abcdefh dei acdi abdei cdegh abdh cdeh cdfgi bdi abdi bcdefgh abce cdh abcdefh abi acdi abe af bdh cdeh abdi di abcf bdegh acdh cdh acdefgi abcdi cei acdfg bf adh abcdeh adi abei aei deg cdh abh cdefh dei abi abcdfg dh adh ach bcdfi bei bci de cdh bh ah dei cei bdefgh begh adh ach bcdegi aci bdeg de aef 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abei acdefg cdg acdh cdh bceh adei bcdi bdg abdg dh adh cdfi adi adeg cdg bcdg acdh bhi adei cei dg abcdeg bdh abch bch abci abcdg acdg dfgh abh acfh i abi abcdeg bcdeg abfh bch abeh ci acdg bdeg abg ah bh i bi bfg abcde ch bch cefh ci adeg abg abh h ah i ai abcefg acg ch ach ei ci aefg g h ah acdhi bcei ai acg ach ch beh abci bdi ag bg ceh ah abcdh acei bcdi bcg egh ach dh bdh di aceg abg adfh abcdh acdh efi bi dei fgh adh bdh adefh adi g acdefg adfh ah dfh bcei abcdi cg adg adh abdh dgi adi abg acdg bcdg cdh bcdhi cdi abcdi bcg adg dh acdeh abcdei ei bdeg bcdg cdh abcdh abcdefh cei adg abdg bcdeg cdeh beh bcdfi abcdei abei abde bcdg abh h abdei bdg abdg afg bch ch eh bci cdg acdg befh h ah i abdg adg eg aeh bch beh abci bci bdf bh h ah i ai adg eg ch ach abci bcdg abcfg bcfgh h ah ceh i abi abcg bcg ch ach acefi aci abg bg h ceh acdh abdfi bcg acefgh abcdfg ch acdeh cefgi abdi ag bcdfgi acfh h abcdh abi acg abdfi abfgh abcdfh bdh dgi bci bg abcfgh dfh cdh bcdh cdi bcdi dg abcdfh dh adh dgi aci aceg cf acdh cdh bcdh acdi cei cdfg f dh bdh bcdfi bcdefg cdg abcdg cdh acdh bcdhi dei adefg dg cef adh abehi defi cdei acdg cdg acdh adeh abh cdi bdei bdg dhi adh abeh di bci cdg bcdg abcdh h bh i acdeg abcde abeg ch bch ci aci adeg bdf ceg h abefh ai abcdeg abdg bcefh ach ch ei aci abdeg ag ah h ahi i abcdi cg ach ch chi abfi aei ceg aceg bh ah i bi bdei eg beg ch aeh fgi aceg ceg bg h abh abcdefh ai aeg cg bcdfgh ach abdhi abci ceg g efgh abdfh abh adeh acdi acdfg aeg bcdfh dh adh ei bei aceg bcf cdh acdh acdi bcdi acdfg abdg bcdfh adh dh acdei adi bceg acf acdg acdh deh cdi adg dg cdeh bdh abdefh di cdei bcdg abcdg acdh bdeh bdfi cdi cdefi beg adh ach abeh di bdi cdg bcdg deh acdh bcdi i abdg acdeg cfgi abch aeh di abcdg acdg ag abh h bcdefgi i dg adg cg ch abch ci aci bg abg h ah abcei i bcfi cg bcg ch ach ci aci ag bg h aceh bhi bi abcg bcg abcefg ch beh ci bci g ceg abh ceh ai abi abcg bcg ch ach abchi aei bci ceg bceg aceh adeh cei bi abcg aeg acdeg dh cdeh aei bceg ag bcdg cdh dfh bi abdefg acg acef bdg dh adh bdi abdi acdefg cdg cdh ah abdei ai cdfg adg cdeh adh cdfh di bdi cdg bcdg acdh abdeh abcdi cdi abdg acdeg dh adh abdhi bdi adeg cdg deh cdh adfh abcdi ai dg cg adh ch abch bcdei bei acdg cgi cfh h abh i acdeg bdg af ch acefh ci befg bg g h ah cdi bi bcde acdf aeg ch abeh ci ei ag bg h abh abi i abcg bcg aeh ch acefh ci abci g bceg h aefh i bi bcg acg eg ch abei aci aei g h abh acdefh i abi acg abcg acdfh adh bdh aci bdi g ceg cdh bcdh i bi eg dg bcdeh dh dgi bci bcdefg abcdg deh acdh bcdh abcdi cdi bcg adg abdh adh abef aci acdg ag cdh bcdh abcdh abi acdi adg abdg adh acdfh abcdfgi bdi aei cdg acdh abcdh ah bcdi i adg cdeg abdh aeh acdfgi bci adeg abceg acdefh ah abh cdi bcei cdeg bcdeg bdh ach ch aci acdg ag abcfh h bh abi i dg cg abch bch chi ci abei ag ceg h ahi i bi bdef cg ch ach bfi aci g abg abceg h abh bi abi cg bcg ach abch ei aci g abg abh h cfh bi abi acg abcg adh bdh adhi aci aceg cdef abg abdeg cdh abcei bi acg abcdeg bdh fh dh aci g abcdg deg acdh acdhi i adei eg f adg adh ci bdi bcdei bcdg cdg cdh abdfh adei abcdi adg abdg dh cdeh bdefi bdi adeg deg bcdg bcdh ahi abi abcdi adg bcg abdh eh defgi abci acdg abg aceg ah acehi dei i dg defh abeg ach abdi aci deg acdg bcf bh hi bdei abcefg acdeg aeg ch ach ei bci cfg g bg bh ceh bi cei cg eg ch ach ei ci aceg g bceg h cei ai acei acg bcg ch bch ci aci g bg bh bceh abcei i acei bcg aeg ach adh ci bci bceg aceg bceh abdeh abefgi i abcei acg bdg adh bdh aci abci ag abcdg cdg bcdh cdh abi defg dg abfg dh adh aei di abg acdg deg acdh acdgi cdi acei cef abdh dh ach acdegi di abcdei abg acdh cdh acdhi abi eg bdg bcdeg acdeh acdfh bdi bci bdeg cdg adeh adfh adei bcdi acei dg bdg bdh eh abdi cdei acdg abcdg cfh h ahi dei bdei bcg defh eh chi abci ci efg ag abh bh abcei i abi dg cg ach eh adi ci cdg g abceg bh abi i acfi bcg adg ch bcefh fi ci g ag ah bh efgi abi aeg acg abeg bch bfh bci acdefg g bceg ceh befh cei i acg bcg abcdeg bdg bdh aci bci abg bdeg ceh cdh bcdh cdi bcg acg bcdeg bdh dhi bci bdi bg bcdg deh acdh cdgi cdi adefg adg abdg abcdeg cdeh bdi adi abg acf cdh abcdh adei bcdi adg acef aeg dh abchi abdi adi cdg abcdg acdh ah dei abi acdeg dg abeg bdh bch adi bdi cdg adeg cdh bh bdei cdi abfg adg beg bch fh ach acfg deg bceg h ah abgh ai bdg eg beg ch abch bci ci ceg g h ah abi i eg bdef beg ch bch aei aci cdef bcdef bceg bh bi i acg bcg aeg ach chi abdi ei abg aceg aceh acdefh i ai eg acg abch eh aci ci g ag abh h bcdh ai abdefg aeg fg bdef dh abdefh acdei adfg cfg abefg cdh acdh cdhi i acdeg acg abdg bdh adhi di adeg abcdg deg cdh cdefh dfi acdi adg bdg acdfg bdh abchi adi abcdg cdg acdefg acdh adeh abcdi abi beg abdg adh bdh adi bei cdg abcdg bdfg abcdh adfh cdi afg aeg adg fh bch bfh bdi adeg g aefg h cfh abcdi i cdeg acg defg ch bch ci abcfg abg bceg aefg abh ai i eg beg abcef ch eh ci aceg g cfg ah h i ai adef bcdf ach dh bci abci bceg ceg bcfg h bceh i abi cg acg aeg eh ei aei abceg ag bcfg bh acfh i abi acg afg ch adh aci di abcdei ag acdef cdh abcdh ai abcdi acg adg abdefg dh adhi adi bceg g abcdg acdh adeh bcdi bcefg adg bcg acdeg abcdeh cdei bdi ei bcdg abdeg deh abdfh cdi abcei adg bcdf bdg acdfh ach bci abcdg abg bcdefg cdh bdfh abcdi afg bdg eg dh eh ach abdi bcdg abg bdeh abh dfh acdi cei dg abfg cdeh bch ch bci bcdg g abg ah abcdefh cdi i eg acg ch ach cefi ci bceg ag abcdefg h bh abi i def acg cefg eh bei bci ag g aefg bh acegh i abi cg cefg ch abcefh aei bci aceg bg abef h abefh i bcei acg bcdeg ach acefh ci ei bg bceg befg ah cdh i acdi cg abfg dh cdeh dhi adi abdfg cfg abefg cdh abcdh cdi ai dg adg cdeg dh cdei di abcdg ag cdh acdh bcdhi cdi abdei dg abcef dh cdfh bcdei abdi cdg bcdg cdh abcdh cdi bcdi adg abdg abeg dh cdfh acdei abfi deg bcdg aceg abcfh bcdgi abcdi acdeg abdg adefg adh bch abei aei bcdg abceg cdefg h ah acei bdg cg cdfg ach bch aei ci ag g bcdefg h ceh i abi cg aeg ch eh abci ci ag aceg h bh acfi ai bcdfg cg beg ch acdfh ci bci g ceg h ah ai bi eg acg bfg bch fh aci abci ceg cfg bh h abi i fg bcg abcdeg dh abcdeh aci bdi abdeg deg bdeg acdh abcei i dg adg bdg abdg abdh ci bdi cdg acfg bdeg acdh adei acdi acdeg dg abcefg dh adh cdei bei cdg abcdg cdh acdh adei cdi cdeg bcg bcdfg adh dh bdi adi bdeg deg acdh abdfh bdei dei cdeg abdg abdefg adh abcdfh di bci deg ceg deh acfh aceh bi beg bcdeg abcdfg ch aeh bcdei aci ceg abg h bh abceh abi acdeg cg fg ch eh ci ei ag aceg ceg h abcfgi i acg aeg ch bch eh abci g bdeg cdg h bh i bcei acg abcg bfg eh abcefh ci dfg g cfg abh cfh cei abcdi abcg bcg acdeg aeh bcefh ci ei ag abceg ceh abcdh ai acdi abeg cdeg bfg dh adh aci cfg acdg acfg cdefg adeh cegi cdi bcg adg abfg dh adhi adi aei g cdg cdh dfh dei acdi abdg bcg cdeg dh abcdfh adi acdg bcdg g cdefg adfh dei bcdi abdg cdeg adefg adh acdfh cdei bei bcdg adfg acdh dfh adei bcdi adg acdeg abeh abdh acdei abci afi ag bdfg ah ceh cdi i abcg acg beg ach bdi bci bei g aefg ah abceh abdegi i bcg aeg afg ch ach bci ei g acfg ah bceh cei beg cg bcdeg acdeg bch bchi aei g ag cfg ah bh cei cdi cg fg acefg afh bci ei g ag cfg abh cfh i cei acg cdeg cefg adh aci ei abcdei g bdeg bcdh acdh bi i cg eg acdeg bdh dhi ci abefg aceg abcdh bcdh acdh acdi abcei dg cdeg cdeh dh acdfh aci bei acdg ceg cdh acdh abcdi acdeg bcdeg cdfg abdefg dh abcdei bdi efg bcdg ceg cdh dfh acdi cdi cdeg acdeg defg acdfh bcdei aei abefg aceg abdeg h abcdhi dei bdei acg adef beh ach chi aei deg abdeg bdfg bh efh acei cdfg bcg acef ch abch abchi aci abg g h ah acfh ai beg cg bcdeg afg ach aci ci g cdef abdeg h acehi i abcdi abcg acdeg fg ach bci bei ceg bceg bdeg bh abcdh bi bcg cg fg ach fh ci ei g cdg efg cdh cei bcei cdefi cg beg dh adh bei bci bdeg aef abcfh abcdh acdhi abcdi acefg beg acdeg dh abchi bdi cdei abdeg abcdg bdfg ah dfh cdi dfi acdeg bcdeg defg cdfh bdi abdi deg acfg dfg acdh dfh adei dei aeg acdeg acdfg acdeh bdi acdei abg bcdg adfg bdfh abdei dei bdefg acg cdfg ach abdefh bdi aci ceg ag acdefg bh hi dei defg acg beg beh fh bcdegi aci g abdeg ah h abcfh i abi cg fg ch afh cgi abceg abcdef acdg bh abh bcfh abi aeg acg fg ch bfh bci aceg ceg cfg acfg ceh abcfh abi abcg acg fg ach abfh aci afi g abdeg h bdeh acdhi bi acefg adg bcdeg ch bcdeh cgi adi ag bcdg ceh deh cdhi bcdi cefg acg fg ch bdhi bcdei aci befg bcdg abdeg cdh acdhi fg acdeg cg cdfg dh bcdeh cdei adi ag ceg cdh deh bdfh cdi dg abdef abcdfg defg cdfh di deg bg dfg adfg cdh dei abi bdei adg cdfg acdeh bcdfh bdi abci abg aceg dfg ceh ahi i adefg bcg defg abch abfh aci ei ag abdfg ceh abceh cehi i cg adef cdeg ch afh abei ag g deg h bceh bcfh bi beg abcef fg bch ci abci bdfg g adeg h bceh i abi acefg acg afg ch afh bci ei g ag h cfh bi abi acg cdeg acdeg ch dhi abci aefg abg deg ceh acfh acei cdi bdg abcef cdeh dh dhi bci cdei adeg abg acfh deh bgi dei bcdeg abcdeg bdh abdh abchi acdei abdi ceg acfg cdefg cdh degi acdi acdeg abcg cdfg abdh acdfh di deg acdg abdeg bdfg acdh cdefh abcdi abcg eg acdfg bch acdfh bcdei bei deg adeg abdfg bh abdfi acei abcg bcg adh acdfh abchi bdi abg g abceg bh aceh bdegi i cg acg abch cefh chi di aefg g acfg bh cfh cei bcg cg bcdfg bfg bch abfh ci aci cdg deg h ah i bi acg acdeg ch bch ci bci abceg g deg h aefh acei abcdi cg acdeg fg ch fh aei aceg deg acfg aceh abhi dei acdi acg bcg bcdfg dh dhi bei efg cdg ceg bcdh bcdefh bcdi abcei bdg bfg defg abdh dhi bdi acdg ceg dfg bcdh acdhi dei cdi abdg bcdeg f dh dhi adi deg ceg abdeg abcdh dfh bdei bdfi abdg acdfg dh bdh abcdei bci aci bcdg dfg acdh abcdh abdei abi bcg acdeg abcdfg fh abdhi cdfi abdeg adeg acdh bcdh aceh dei cei aeg acg acefg dh chi abci abg adeg cfg h acfh bi bcei cg acg aeh beh abfh aci abceg ag bh abcf abcfh cei abi dg bcdeg abcefg beh aci adi cdg deg cfg h ahi befi abi acg fg ach beh bfi ei g ag efg abh abcfh i cdi acg bfg beh fh adhi abcfg acdg ag efg abceh abdfh gi cei acg abcdeg eh fh abei adi cdg bcdg deg cdh abdfh bdegi abcdi cg acdeg bdh acdfh cdei abdefi g deg bdfg abcdh adfh bi fg adg acdeg acdfg dh cdfh aci bdeg abg deg cdh bdfh abcdi cdeg bcg acdeg eh dhi abdi abci 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cfg cdefg bdfg bdfh bdegi cdi abi bfg acdeg adh adhi abci bei abceg adeg cdh bcdh cdhi i abdg acg acdeg bdh behi adgi dfg adfg abdfg acdh adeh bdegi adei bcdfg eg acdeg adefh bchi begi ci bdfg abcdh acehi bcfh dei abi cdfg acdfg beh acefh abehi abcgi bdfg g cfg h bh bcdgi cei cdfg cg ach aeh chi aci bci aceg deg aefg bceh bi ai adg bcdeg ach aeh acefh aci g ag bef h acfh bi bcefg abfg acg ch ach aegi bdi acefi g abefg ah ahi gi i aeg bcg ch cdfh dhi bcdei bdi efg bdeg cdh acdhi i cdi abcg cdeg abcdeh acdeh cdfh bcdei aei ceg adfg deh adfh abcdi adei bdg eg bcdfg abdh defh bdi abdi bg acdefg acdh adeh abcdi i bdg bcg acefg adh dhi abdi abci acdg deg adeh abdfh bdfgi i abdg bcg bcdeh bdh bchi bdi dfg acdefg bcdefg bcdhi bcehi abcdi cdfg dg cdeg abdh afh abdhi adi cdei adeg aefg h acfh acdi bi adg bcdeg bch abch fh abei bdeg g aefg aceh bcfh abi bi cg bdg cefg ach egi ci bceg ceg abcfg h ah acfi acdi cefg acefg ach bfh cefh bci ceg g ceh h ahi bi i bcg acefg ach abch adhi bdi abefg g 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abdhi dgi acdegi acj abcfg cdh cdhi abcdgi bdegi adfgi bj bcdeh adh dgi bdi abcdfgi cj cfg deh bdfg bdei bcdefi adfgi aj bdh adefhi defhi abcdfhi beghi cj dfh bcj abcfghi cegi abdfgi ceghi abj defghi bdefghi bchi bcefgi bcefhi cj acj efh acfghi abdfgi dfgi abcfghi bj afh abcefh chi bchi abcefgi cj cdefg bcdefg ghi cegi bcegi aj fh bdefg aeh bchi abcefi cgi acj acfh h bcfhi bi befgi j acefh bch ehi abcgi bei abcdeghi acj cfh ah aceghi bcegi aefgi j bfh cdj abfg abegi bcefgi adghi acj efh ceghi acfg abcegi dfhi cdghi aeh afg bcej abcefgi bcdfgi acdeghi cj abcj bcfg bgi acdefgi adegi bcdefghi bj fg cdehi cdfhi dgi bcdegi bcj acdefh aefg cdhi adegi cdgi abcdefgi bcdfh abcdfh adh acdei bdefi bdefgi acj dfh bcdh bcdhi dfgi bcdefgi j abcdfh adh adhi abcdegi cdfgi bcefgi acj deh abcdefhi cdghi dfi abghi j cdeh bcdfghi bfghi cdfgi bcdfgi abeghi cj bcdefh acj dfgi adfgi hi acfghi bcdj bcdfg abcefhi abdefgi egi cefgi cj dj h ghi bgi cfgi abefghi abj bcefh beh bchi bfi cefgi acj dfg bcdefg bgi agi cfgi abcdefi j bch afhi aegi bcefi acefgi bcj cfh abdfg efg befi abefgi j fh eh chi bci acefgi adj acj aceh acfghi bcegi aefhi abdeghi aj fh aeh afg bfgi bdhi dghi cj acj abcfghi abcegi adegi acdefgi ach bj abj bdh cdfhi abdefgi bdefgi acj abdfh bdeh acdhi cdgi dfgi j abj abcdeh defhi dgi abdefi acj abcj dfh abcdh bdehi abcdi abdegi j abj abdh bdghi bcdfgi defgi cj bcj adeh abdeh abdfgi abcdi dfgi j cdfh dh adefg dgi adefgi eghi adfh adeh abdfghi abdfgi efgi aefgi cdeh bcdeh abeh defg cdei abcdfgi bcefi acj abcdefg cdej bcegi abgi cfgi j bj beh defg abchi acefi beghi adeg bcj abefghi ghi cei gi cej afh defg chi bcgi begi acj bcj bceh befg abcegi abi abcdefgi aj fh aeh cefg bei abcefi cj cfh ah bghi bgi acegi cdefgi abcdefghi abeh bcghi bfgi egi bcefgi defghi acfh aefh efg efgi adfhi cdghi j bfh acdfh abcefg bdgi bdefi acj bcj abefg bcfg bi acdefgi cdefgi j afh cefg acefg cdegi acdfgi adefgi dj adeh deh abefgi bdei cdefgi abj adefh bdh adefg dgi bcdfgi cj bcj abcdh abdfhi acdgi acdefi 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ceh aefg bcfgi abefgi j bfh abfh abcghi fgi abfgi adghi abefh abceh abceghi aefg dei abdegi abdeghi abfh cdj abcej dghi bdefgi adefgi cj bcj bcdej aefg bdehi cdhi j bj acefg cefg aci abcdfgi defgi acj bdfh befg cdghi abcdi abcdefi abcdefgi abj abcdfh dghi adhi abdefgi bdefi acj befg adeghi acdghi acdefgi cdefgi j cdeh acdeh dghi abdgi defi acdfgi acj adeh cdghi bghi abdfgi cdefgi j bcdfh acdfh dghi cghi behi bchi acj bdfh acdefg adfg cdgi acdefi abefgi acdeh abj abdefg ehi cefgi beghi acj dj bh ghi hi agi j abj abeh acghi chi bci fgi acj aefh bh aefg gi cegi bj j eh acghi fhi abfgi cefgi acj cfh abcdefg ghi cfgi aefgi j cdeg afh bcghi egi cefgi adefghi cfh bcfh aghi cfg bghi acdefgi fh afh abfh bcefg aei afgi defgi cfh abcfh bdfh abefg bcfi adegi j bj fh adghi begi acdfgi abdefgi acj acfh abcdh aefg efgi adfgi cefg j bdh bcefg bdgi dgi cefghi acj bdfh bcdghi cdhi cdgi dfgi bj abcdfh bdh bdghi dghi bdefgi ej acj adeh bcdefg ghi bdegi acdefi bj abcdfh abdefh abdghi abegi abchi acj adfh 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acdhi adfgi j aj abj dghi adhi bdefgi acj bcj abcj cdghi cdefhi bcdi adegi aj bj cdj dghi adefgi abcdfgi bcj cj dfh bcdefghi bdfhi abdfgi cehi aj acdfh abcdfh dghi bdefgi defi behi adfh bdfh bdeghi cdefgi degi hi abceghi bcdfh bdefh acghi cdegi ei abchi dfh cdefg bdfghi adegi bdegi bdefh cdfh adefh defg abcghi abdgi achi ehi adfh bcfh abcdej abcehi cfgi cegi acdfh fh defg cghi abcefi cefgi abcdej cj abefh abcfg ghi agi bcfgi cej bfh aj fhi abehi fgi cj bcj efh acfhi abgi bcegi bcej abfh cefh beghi bcefg acgi bfgi dhi bcfh abcfh cfghi agi adehi bdehi fh bfh j dghi cdehi dhi efh cfh abcfh abcfghi adehi cdefgi abcdefgi j bfh abcej bdghi adhi dhi cj acj bej abcdghi cdghi abcdhi adfgi aj fh cdeghi bdghi abdefgi bdgi abej cj bdegh bcdghi adehi adei bcehi aj abcdfh defghi acdfhi adgi abdgi abcdej bdfh cdefh bcdefg acdgi acdefi bhi cdfh defh bcdj bcdfgi ei acefgi cj dfh adfh deghi abdegi acdgi cfgi acdfh cdfh acej acghi cdfg abcefgi cj abcdefh abcdefg abdfghi acfhi ahi cegi adefh cdj abcdefj acghi achi abfgi ej abcj bceh bghi ai bcfgi befgi bj afh fghi bcefhi aei abegi adj bcfh cj ghi bcfhi agi bdehi acej acefh cdj egi ci behi dj abceh bcfh cfghi gi bcegi cdhi aj abfh fghi aei bdi adhi cfh acfh abefh cfghi agi cdhi bcdhi fh cefh abcefg adghi abegi acfh cfh aefh cj aegj dehi bcdgi abcdgi j aj degj abcdehi adhi dgi cj acj dj acfg acdefgi adegi abj bj adefh aj adefg adgi abehi abcj dfh bdfh cdghi acdgi dfgi cehi j dh cdfghi abdghi bdi aehi dfh bdeh befg bdfghi abcdi ahi bhi defh cdfh bcdfghi cdfg bchi bfgi dfh adfh dj adegi cdefhi hi acehi bj bcdj acdfg cghi abdeh ehi bcj bcdefh dj bcfghi abefgi gi bj aj acefh bdej acghi bcgi cgi bcj acj cdej aghi efgi gi abcfj j abfh bcdfg cefgi cgi acdehi abcj bcfh dj bghi agi abcegi bcdj bfh abfh aeghi abegi cgi adhi efh bceh bcfh cfghi adehi agi acefh afh bfh afg dhi adhi bdhi acfh bcfh abej acfghi bcdhi acefh acdefghi j cdfh acefg adghi dhi abdhi abceg ej befg acdghi adehi acdefgi bj j defh adghi bdhi dgi acdfgi cj bcdefh acj bdfhi abdegi bdfgi j abcdfh bdefh dghi bdefhi bcdfi afhi cj acdefh dfh acdi acdgi abhi aj cdfh bcdfh cdfghi bfhi cdegi chi cj dfh cdefghi acdgi bdegi hi bceghi cdfh bcdeh bdej abchi abcefgi achi dfh bdj ej ghi abcdi acegi cej aj bj abcej bchi acefi aegi abcj ej abej efhi i bi bcfj aj afh acefg afhi bci bcdehi bcj bcfh begj aghi cegi adehi acdj fh abcej afghi bcefgi cgi acdehi acfh abcfh bcdefg aefghi befgi cdhi abfh fh abcefh bdefg bcdfg dhi bdhi acfh bcfh abej abcdefghi cfgi cdefgi cefh fh j bfghi acdehi acdei abdhi cj aefh abcdej deghi acei abcdgi bcdj abcefh cefg bgj bdhi abcdfgi abdgi aej ej bej abcfg bcdi adegi j acdj bcdfh cdfhi defgi abcdegi cdfj cj bdfh abcfg efg abcdefi cdefgi aj cdfh abcdfh acdfghi cdegi acdegi abehi dfh abdfh abcdej cdgi bcehi hi j bcdeh cej acdfghi cdei chi achi dfh adfh bej bdfghi bi adefh j defh acdj abcdgj achi chi bcefhi abdj bcj begj aefhi abcfi abgi acdj bj abj bcefghi bdi acgi abej abdj bcfh abghi ceghi abgi ahi acej fh cej bfghi egi aegi acdfj bcfgh befh bcfghi acfgi efi gi bcefh afh abfh afghi cgi adhi dhi cfh acfh abdgj abcfghi bcegi adehi cefh bfh j gj adhi defgi efh abcfh bdegh aegj abcgj acdhi adehi cej aj abcdfh cdehi adhi adefgi ej abcj aefg abegj cdghi bdegi hi abj adgh bcdfh defhi abcdfgi bdgi abcj cj dj abcdefhi bcdefgi cdefi acehi j cdfh bcdfh bcdfghi bdi bchi aej adfh abcdefh bdfghi cdefg dei ahi abj cdfh abcdfh defghi abcdegi aei achi bdfh dj adgj dfgi hi bhi defh abcdfh aj abehi acdfgi bcefgi cj abdfh adj adgj bcehi cei bhi befhi aj abcdj acefhi aei acgi acj dj befh adgj abcfgi bi befgi j abfh degj bcghi bcefi bfgi acj bcfh cfh abcdefg abcfgi bgi adehi j fh abfh afhi abei bdhi acj cfh efh befhi cfgi abdfgi acdhi abfh fh abefj cefghi abci bcdfi adhi cfh cj dj cdghi efgi dehi fh cefh abcej abgj acdfgi dgi bdefhi acj dj aegj adfhi abcei abdehi j bdefh abcdj dhi di bcdegi cj acdgh abcj aefg adegi abdei bcej acdj cdfh bcej dghi cdfi acdfgi adj adeh bdfh dfghi cdi cdgi acehi j cdfh abcegj abcdfghi bdefi achi dj bdfh acj dgj adei hi defh cdfh egh defg bdefghi achi bchi cj bdfh ej bdgj abhi agi cegi acdfh abcdfh cdfg cefghi bchi afgi acj gh adfg aghi abdei bcei bcfj abcdj bj abcej fhi ci aegi abej acj dj befghi abefi cegi abcdhi aj bfh acefghi abdefg cefi egi acj bcfh ej bcfghi bi bcfgi bdehi abfh bcefh abcefghi abei bcgi dhi aefh acfh bej acegi abgi cdhi dfhi bfh abfh acefg fgi cdfgi dhi abcj abefh acj bej abcdhi dfgi abdehi j abcdfh degj abdhi di acdegi acj abdfgh bdfh abdeghi dfgi abdegi adfj cgh cdfh cegj adhi bdgi behi cj cdefgh aefg dfghi cdefi cdi abhi abj defh degj acdfhi abdgi abehi abcj bdfh bfj adfghi adei bhi acehi cdfh adefh cdgj abcdfghi abdi begi cdefh acdefh ej abcgj hi acegi acfghi acdfh cdfh acej achi acefgi chi bdj cfgh cegh ghi bhi cegi cfj acdj cgh bcegj bfgi cefgi aehi acj cfgh aej bghi acfgi cegi cfj abcej abdefg

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *10241024