Details Page for 0.3163

Complete Solution is Known:

MSV File: q-0.3163.msv

Growth Pattern:

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Details for Q₄₅₈₂(0.3163):

Q = <a,b,c,d,e,f,g,h | 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>

P = {a, b²}

Phi = 1 a b b² b ab ab² ab b² c ac ab² b ab² ab ac b² b b² ab ac c b ab² b d b² ab ab² b d bc ab ab² b c abc ab ab² b d abc ab ab² b ab² abc ab b² bc ab² bd b d ac ab² bd b ad ab b² bc c ab² ab d b c ab² ab b² bd ac ab² b c bd c b² bc d ab² b bd abd d abd c b² ab ac bc c bc ab ac bd c abc ab ac bc ac ab² acd c b ac abc acd c bc ac bc cd ad abc c bd c ad abc ac bc cd ab² abc c b cd ad bd c bc ac d b c bc ab² bcd bd cd ab c bcd b² ab² abc c bcd bd bcd bc b² bc abc ac e c bcd ab² ac bc cd ab e be b c abc e d bd ac bc cd c e ac b cd be e ac b bd ab abd c b cd ad e b² bcd ac ab e acd abc cd be bd be ab b² abcd b² ab² b ab² b e ac ab abd ab e be abc c bcd ab² be bc b² ab abd be b d b e be e ac ab ae bc e acd abd ab² be abcd ac b e be ad ab² b e abc e cd bc b² be e be bcd ab² b e cd abcd b² bc e bd abc acd be c be ab b² ab ad acd ad c abc ab² be bcd cd ab ac be bcd bce b c abd ab ac bc ac bc e acd abd c abd d bce bc ac abd ac c bc c abc e bce bc ab² bc ce be abc c abc c be ace ac bd ce bce ae ab² abc c abc bc ac bc ac ab ce c abc ab² be e c ab ac bd e d abc ad b ce ac abd ac bd e d abc c abc ab² be bc c ab e d bc d abd ab² bcd bc cd ab cd be abc ab² abd ab² be abc ac ab ac be abc be bd acd abe e bcde bd ac abcd abc be bd ab² abe e be ab ab² abe e be abc acd abe ab² ac ace ac ab e ab ae c abd d be cde cd ab cd be bcd d ab ab² be e cd abcd acde be e ab² abc ab² be e be ab ab² ab ac abe bcd ab² bcd e be bd ab² ab e be bcd ab² abe d be ace ad ab d be ace acd ab e abe abcd abce bd ac be e d bcd acd abd ab ac ab ad abe e abce abc d bde ab bce ab ac bd e bce ab ab² abce e abce bd ad bd ac ab² bcd d abde ae bce ace ac ab ad be cd ab² abd d be ce ad abc ac bd ac d ab ab² abc e abce ab cd be e d abc ac abd ce bce ab ac bd cd d abc ad abd e bce bd ac bd e bce abd ab² f c abe bd cd bd ac bce abd d abc ab² bce bd d bd ad be e ac abc ce abc e ad bd ce abe e abcd cde d bcd acd ad bd ac abce ce be bd ac abd e be bd ac abcd e d ae ac abd acd be bd ac abcd e abcd abc d f cde be e cd bc cd abcd e c abd acd bcd e abe f ad d e bcde abc ab² be e bde f bf abcd e be bcd d abcd e be de cd abcd e be bcd acd abcd acd b e bde f cd abe e abe bcd bf be ae bce bd abde be e be bcd acd abe ab cd abcd ad abcd e bd f acd bcde e cd abcd ad d e abe abcd acd be ce be ade cd f af be bcd cd bcd d be ce cd abcd acde be bcd acd bcd f cd abcd cd abcd af abe e abce bcd d abd abcd abd bd abf abe ad acd bcd acd af d be abcd ad cf bcd bc ade acd abd e be ace ad bd ad be ce bcf bd d abe abcd cd bd ad be e bcf abd ad abd e bce bd ad bd e abce abd d abd d abce f ad bd ae bce cf d bd e be cde ad abd ad be cde d abd ace be e ac abd ae bd ce bf abd d be ab² ad bd ce abe abc d bd af abe e be bd ad abcd ae bce abd acd f e bce af ad abcd e bce abd bf f acd ac e bf bd ae abcd cde abf af acd ad e ac abcd bf be e abcde abd bf be bd bcde abcd bcf c abd be abc bf bcde ab² bcde f bf abcd e be f acd abcd e be acf cd abcd b² d ae bcf abd acd be ace cd abcd e abe ce acd f bd abe abcd abcde bcd bcf ab² ae bce bcd acd be e bce bd acde f e abe abcd acd be e ad abcd bcf be ce be ac cd acf e be e cd abcd ae be ce bf af ae abc d bdf abcd bcf bd ac bf abd d be e cd bd bcf abe ac abce bcd abcf abe abcd abce acf abdf bde ad be af d df ae be ace abf f b bd abd ad cf e abe ade bf df ce be cf bf af ace abc ace d f bdf abe ce abf af ab be ce ad f bcf bce ce ab f d abce ce ad bd ad abce ce bce abd abcf abce ae be af ad abce ac d bd d cf ace be bd ad df ce d ce d f abcf abe acd bf f ace be abd d af ace be bd be f abf abe cd d af bf be bc abe af bcf bce e be cde bf bce bc be acde abf df ae d abd abf df ae ac bd bf f ae d ae abf f acde be e ad f abc d ac abe af bcdf be ab² be af bcf abe e be f bf ac e be f bf f e d af bf adf e abe abcd bcf abcd e be ade bf af ae be f cd f ae bde acde bf af bf be ae abf af bdf be bcd abce ad e b² d abce f abf bcde ae abde af e acf abcd abc d cd abe ade bd bcd abf acdf e be d cd cf ce be ac bf af bcf abc ae abf be cde bc ce bde f abcf cd e bce acf bcf acd e bde af ab be d abce f ad acf bcd abce af bf bce d abc acf bcf acf ce acd cf bcf af abcd bce acf abf ab² ce be b² bf abd ace bce ace abf bd bcf be ace ab af de bce ce ad f bcdf bce ce ab bd abcf bce e bce af abf acd ce ef cf abcd af bc abcde ae abf cdf ce ab acde bf bce abcdf abe ab² d acf ade be b² bf af ade bde ab² bcde f bcf c b² bcde af bf be ae abcde f bf be e ab f bc abcde bd bcde f abf f ae bcde acf acd ac cde ad acde abf c e be acde bf cdf e ad e abc c abf be ac bf af acde abe e bcde af bcf abe acde abf f bf be bd be f abf bce cde abcde abcd bcf bcde bc abc f bf bcde ae abcde ac bc be ae bce abef bf abcde abd be ce bc abcde acde be c abc cf ae bce ac abde f e be ce abc f e bcde ce bce f bf abcde abcd bdf d abf abcde ace abde f bf acf ce abf f bf f b bce cf bf af abcf bce ade abf af abef abce cf bcf acf abcf bce bd abf acf ade ab² e abcf acf ab bce ce bdf ab² bcf bce ce bde f bcf b² abcd bce f bf ab² ad bce af bf af abcd be adf abf ab² ce bce af bf f abcd cd acf bf acf ce abce ade ab df ce abce bd bf cf bcd acd cde be cd abcd ef cde bcf adf abcf cdf de abe f bf bce e be acd bcf bce de ab af abf acf abcd bcde cde bcd acf abc bde cd abf af bcdf be cde bf af abd d e bf cf bd abe acd abf f bef c abc d cf bf ac bd bcf f abf d abd be af bcf ac bd bcd f abc acf e be af bf af e be ab² bf d abc d bef bf cf bd ac bcef bdf d abd d e bf ad bd ad e abf d abd c e bf df bd acdf cde abc f bf f abd ef acdf bd ad ae cef d bcf af abd cef abcef bd ad bd cef bcef bcf f bcd d acdf bf af cde aef ade bcf acf bcf be de bf af abcdf ad bcef bcf f bcf d bcef aef cf abcf cd de abce abcd bcf bcde cde abce f bcf cd bcef abde cf bcf acd ace cef bcef bf af ab abc bcef bcf cf bcf abce bcef abdf af ab b² abef bcf f bcd bde de bcf acf abcd cd ade bcf acf bcd acd de abcf cd abcd bce de ef acf bdf acd bcd ef cf bcf cd bd acef adf bcd cef abf be cf bcf cd abcd bde bcef bcd acd ade abde b² abcf cf bd ef e bcd acd bcf d e abcd f bcf cd bef abcf acd abdf d e be cf abcd cd bef bcd bdef abcdf acd abc be cd bcf ad bef be acf bcf cdf abd d af abf af bd ad ab² bcf cdf abc be bcef ef af abcd ad bcef bcf cdf bcdf cdf bcef bf abcef abd be e be d bcdf aef e abcde cf abcd ac bd abcde cdf bdf acf abef bcde ac bcdf ad ae ad cdf abcdf acdf abd cef cd bd cdf bd cef bef abcdf d bdef bcde acdf bf ad abdf aef bcef bf acf bcd d bcef ef ad abd aef bef bcd d bdf d cde cef cdf abcf def bef abcdf cdf bf aef bef cef bef abdf cd abef cef cdf abd acd abd acd bdef bd ad bdf cef d abd g abd cef bcef cef ad bd cd bcef cef f abd ab² ace cef ad abdf ad abcd ef d abd acd bef abdf df abcd def abcd ef abcef bdf d bdef aef abcef abcd ad abef abde bcef abd d abcef cef bef abcd df abdf aef bef bdf df abcef ef bef bd abcdef abdf ef bef bdf g abd cef bcef cdef ad abcd cef bcef adef adf abcf acd bef cef cd bdf cd bef def d bcd acd bef cef cd bcd ad bef ef e bdf def abc aef e abdf adf abcd acef abef bcd df abcdf ef ae cdef ad abcd ad bef bcd d abcdf ef bef abdf adf bcdf ef bc acef d bcdf cdf e be g abcd cdf e acef acd abd acd bef be abcef bcd cd abdf ad cdf bcd d abd aef e bd cdf bcdf ef bef abcdf d bcd be abcef cdef cdf bcdf be bcef acef d bcdf adf bcef bd g abcf cef bef bcd abef abd acdef bef cef bcdef abcd d e aef g abd g e cef acdf bd cd ag ef bcef bcd d abcdf ef bcef abdf ad g ef bcef bcd cdf bcd ef abef bd ad abcd ef bdef abd d bcd ef bcef abce cd bd aef bcef ef abcef abcdf acdf abef bc ad abcd abg abcd cef d cg acg bcef be acdf bd cd g ef d bcd adf abcef cef bcef acef cg g adef ace abd adf abcdf ef bcef bd cd abdf adef bef bcd adf abcdf cef bef ef ad g abg bcef cef dg cdef acd abcef cef ad abcd cd abcd ef d abd acd abcef ef abdef bd ae abe ef bcef bcd adg bcd ab² abdef abcd cd ade acef bcdef abd acd de ef bcef ef ad g cef bef ef cg dg adf bef ef cd bcd acdf bcef cdef acd abcdf cef bef cef cd abdf ag abcef ef acd abd acdf abcef acdef bdef bd cg acg aef acd bcd adf abd acdef bef cef acd abg ef bc bcd g cg abdg bef cef cd bg g abcdef ef acd bcd acdef bef ef cd abcdf cd bef b d dg acdf bef c cd bg bdg adg cf acd abd acd abcef d abdef bcdf ag abcdef ef abcef def abcg acdg aef bef def ag dg cef bef bcd g acde aef bef cef ad acde aef e def acd acdg aef abef cef ad abcd ag e cf bcef bcd g bef ef bef cde ag abcg ef cdf abd eg bdef ef bef adef cdf f ef bcef abg abcde abg aef bcef abcd cg abcg def bef acef acd abg dg bef cef d abcd acef abef abd dg abg adg bef ef ad abcg cg abef ef d bcd adg abdef aef bef abcd ag bdg ef d bd adg bcg ae ad abcg ad abdg ag d ef acd bcg aef bcef bd ag abdg eg bef ef acd abg g bef bd adg abdg dg bef cef abcdef bcd acg bef adef cd bg ag bef ef acd abd g abef aef bef cdef cg ce ef bef bcd g abeg ef bef cef ag abcg acef abef bcd d abg def bef abcd acd beg acdg bcef bcd acd abg ef abef aef bcdef bg cdef abef acef bcdef abg acg abg acef ad abdg ag abef ef bcef abg g bg aef cd abdg aeg bcdg aef bc bg g bcg aef bcdef abcd ag adg ef acd bcd d abg aef bef cef ag bg acdg bef acef acd abcdg g abdef cef ag bg eg bdef bcd d bg acdef abeg cef bcef abcd cg abef abe adeg abg acg abcef ef bcf 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g bef ef abcef bcdg g abcg bcd abcef cf eg abcdg abdf abdef adef bceg bg aeg ab² cf adg ae abdf acdf bd dg bg abe bcef aeg acd abg acg bdef aef bcef abcg cg abdef cef bcef abg aceg abg adef bcef abcg ag bg abcdf d abg cdg bcg bf bef abcd dg adf abcdf bcef cde adg bcg bf ac cef dg abcg abcdf d abd acg abg acg ac bc adg abcg adef abcde abc adg bdg acg acdf cef ag abdg cg bcef abc d bdg g abg cef abcef abdg dg bcde abc bcef af adg abdef bd ad abdg ag abdg cg bcef acdef bcdf acdf g ac f dg abcg abcdf c abd adg bcg cde abcdg bd bcdef abdg ag bcdg abc d abg g abcdef bd bef abdg abd bg acdg bef abdeg g ce bd abef f cg bg bcf abef bcg acg abg acdef b² def acdg adf bdf abeg acef adg bdeg abcf bcdef ef ag abdg g abcdef fg cdg bcg g cf aef acdg bg ag f b bdef cf acg acdf ab abcef abcg ag adf bdf bc abcdg g df acdef ac acg cg adf bcd bcdef bdg abdf df be b² acdef cg abcg bdf ab² abcdg cdg abg cdg e bd bcef bg bdf acd fg bcef acef abdf af cef acdg acf cg f def bfg cf cdg df def abcef bcdg dg adf def abcef df adg df abcd abcde def acdg bcg cg bcef fg abcf e bcdf abeg fg dg bg bdf acd acef adg acdf bf bdef bc dg bcdg bdf abcdef abc cdg fg abdf af acef bfg abdg abf adf abc bfg df g af bd acdg abcg abcdf f abcdf bfg bdg abcd df cef bfg bcdg deg cdf abf d fg adg df abdf ad abdg bfg cdf abf d abcdg acg bcg bf ac adeg dg abdg dg d bdg adg bcg bcdf ce bc bcd abdg abcdf c abd bcdeg bcg acg abcde bc dg abdg abf adf abc abceg af adg df bd ac abdg abf cdf abf c fg bf acdf abdf bcdeg bcdg dg df bdf d fg bf bcg abdf ac bd dg adf bdf bcdg aeg acg bcg bdf ad bd abcdeg bcdg acdg cf bcd abef df cdg df abdf bfg f cg adf bdf bef df bcfg df abcf bef abdg abdf adf bdf bcdef bdg abdf bcg abcf cd bd bdf bg bcf adf afg cdg df abcf df acdef bcg adf abcdf adf bcd cdg cf bd cd abcd bfg bcdg bcf acf bcf bfg abg bd df ab acdg abdg bdf cf bcf ab² cg bcdf adf abdf ac bcdg acdg adf bcd acd abcdg bdf df abcd b² bcdg bdf df bdf ab² adeg bfg cf abcd acdf ceg abcef acf bcf acd deg adg df abcd af abcd b² adf bcf f abc ab² bdg abcd df bd ac aceg bdf f abf cdg ceg abcd df bf bcg fg bcf acd abf abdg abcdg abdf cd bf acdf aceg dg acd bdf acd fg adg cd abcd cf bd abceg f bcdf f b bg af bf acdf bd bceg cdf abcdf f abd cdg cd acg f bd ac abcg bdf cdf abcdf c bdg bf af bc ad abdg abf f bcf c fg bf af bf ad bd bfg bdg abf bg cfg bf af abcf ad bc bfg cdf bf f ag adg af bd ad bd acdg cfg abf f abc ab² bdg bf ad bd abcdg f abf adf abc ab² cdeg abdf ad abdf bcdeg abdg abf d abd d acdeg bf ad bf df acdeg beg d bcf acf abc bfg af bf cf ab bfg f abd ab² abc abdeg af bf af aeg abeg cdf bcf acf bcd abcg abcdg bd cf bd cd fg bcf cf bcf abcg cg abcf df abcf cf fg bceg f abd acd cg bcdf cf bcf cf bcdg acdg f bcf ab² fg adg cf abdf cd ab acdg df bcf acf bcd adg ceg bf acd abcf acdg acf bcf acf bcd cdg df bf cf bd cd fg abcf f bcd ab² abcdg abcd cf abcd bcg aceg abceg acd bcd bdeg b abdf cd abcd cf ceg bfg adf bcd ab² abc bfg ceg abcf af bcdf bdf acf bcf adf bcd bfg df bf cf bf bcg acf bdf f abcdf d bdg bf af bf abceg aceg bdf cdf abf cdf abcdg bcdf af bf af abdg abcdf acf bf f abc adg df bf af bd ac f bcd f aceg adg df bf af bf ac adf abf f abd adg cd bf f bf ad afg abf cdf abf adg fg bf cd bd abcdg abdg abf d bf efg abc bcdeg f bd bceg abdg b² f b² abeg dfg bcdf af bd abcdeg cdeg b² ab abd f eg bcdf ad abcf d g abg f bcf af eg beg acdf cde af abcf abdfg ab bdf f bcf abeg b abdf af bf abg ab abf f bcf acf b abfg cf bf df eg b² f abf acd bcg bcdeg abcde bf cf abcg b² acf abf f acdeg ab² b abcf cf eg acdg acf abf f bcf cdg b bf df abcd b² adeg bdf f ac ab² ad abcf cf abcf abg ab dg abde bcf beg abcdg abdf cf bf bcdeg acdeg bdf acf bcf acf dg cdg cf c af deg ac f abf acf deg abcg cf bcd abc abcd acdg adf bcf acd abf abceg abc bf af bf ac ab bcf f abf bceg df c cf abcf bdg acd bcd f abf f dg c af abcf af adg ac bc bcf f abd abcf af bf af aceg bceg f bf f abd cdg fg bf af bcdf beg ab ce f abcdf abceg fg bf af bf acdf aceg abf f abf abcg abd bf f abcf bdeg eg abcdf f abf bdeg aeg abcdeg bce abf abdeg ceg abeg f abf acd befg abceg bde bf af ceg beg ab abf cdf aeg adg abe bf df abcf abeg ab ae f abf bceg fg ab² af bf bdeg abdg acde bcde bcf beg acdeg ab² b bf abeg bc abf be bcf acf aeg abeg be bf fg eg bcdeg ab abf afg bcf d abcde e af abcg abeg ab abf acf ag acg af ae cf abcf beg cdeg bcf f bdf beg aeg e cf abcf abg afg bcf bcde bcf beg cdfg ab² bcde abcf abg f bfg abe bcf acf deg c cf bcf df eg bfg f bcf acf bdg bceg df abcf cf cdeg abd bcde ae f bcg efg df e af acdeg bdg afg bfg f cdeg beg b ace af bf bcdeg cdeg bcf f bcf cdg ceg e bce bf bdeg eg bdf abce abf cdg bcdef d abe bcf abcdeg eg b² bce ce bd deg abdf bce ce cf bcdf cdef acf ace f abg abdg bde ade af bf bceg abe abf f abcdf abceg aceg d af bf abdeg cfg abceg f bcf acdef ceg aef bce bf af adg ac abce bf f befg abcd bce bf af ceg bcd f bcf f ceg abceg abc bf af aceg ac cdf de f cd abcg bce ace f abcdef bcd bc ad f abf g aceg bf abe bf cefg cdeg ce be abf g ceg d af bf ag eg ac abde bf f deg beg b bf cf aeg abcdg ab abf acf ceg def abe cde af abcf afg cdf ae f bcf def abcef ae cf abfg abeg abdg ae f bcf acf eg ab² abe bf abeg abde e be abf acg bcg bcdf bcd abdg abeg bdef ae be cd cf abdef adg abe cde cf eg ae bcef ae acf abdef cef abe e cf bdef bcdeg abcd cd acf bcg def abcdefg e af abcf beg aceg e adf bcf bd abcef e abe bf adef abfg ae abe abf bd bcef def abcde bf abd c bfg be abf f bcef cef be d cf bf abceg be ae acg ac abeg abe e cf d acef abde abf bd abcdg bc bcdef ce bcd d abd bdef ce bd abf bcdeg abcef c abd d acfg bcdef ae abde bcf bcdeg abcef ace abd bf cg abcdef aef bd abf bd ad def abe d abd ceg bceg bd de bd bcdef aef abef d af bg cdef bcdef ce f ad cdef bef d abd d acdef abce ace bd ad bceg bcdef c bcd bf cdef aceg ad bd abf efg bcdef ef abce d cdef bg ace bd abf f bcdef abceg abcde bf acdg acd aef cdf bcf g bef abceg bce e af acd ag abcef cd bd cd aef acdeg ade af acd abcdeg aeg e bd cd f abdef ace abe acd bcd abefg e abcd cd afg abdefg cef bcd acd bcd cdeg acde abe cd abcd cd acef abcde e cg abfg abeg f cd bd ad adef abe e bcd abdg acef bcef e abcd ad acg af acd abe acd abeg abcef ae abcd cd abeg abcef cef be acd dg bdef abf be ad abcd bdef cef bcd ace abd bdef ef abe cd acg ad bf bef acd bcd bdef abc abe abcdg f bcg bc abe acd b d adef abcef acde bd ad afg abdef d abd d abd abef ae adfg bcg bd bdef aef abe acd abd bcdg ef f bdfg bd abdef aef abef e abd abdef ef bd abcdg bd abcef g bef d abe bg acef f adef bd ad bceg cf d adfg abcg acef acf ef bd ac bd abcdef ef abe d abc acf ae adfg abg g bcdef ef abce abdg ag aceg ef bd cd abcd bef ef abd acd abd bg aef f bdfg g cd ef cf d bcd bg acef be ce adefg cd abcd bef d bcd acd bcd bcdef bcf bd ad abcd deg e adfg bg abd abcdef ef abcd ad bd b² ace cf d ag abef ef acf cd bd cd ace abcef bcdg bcd acd ef bef abcdg g b² aef acdf bf h abef aef bef bcf bd cd acef acdf cef bcd bg bcd f def f cd abcd abcef def bcd abcfg acdg cdf ae abdef cd bd cd cef bcd d bcd abcef acef bdef h bd abcef bf cf acd dg bcef abc bcef cd abcd abg bcdf acdf cef ag d cg bcef cd bd cd bd af acd h d abd f cef bd ad bd ac bf bcd cde bcd f ef abdef ad bd ac aef abe d abc c abeg abdef ae bc bcg acef abe abdg bcd d cef abef abcdfg abeg ad cef cf abdg abd bg cdef bcef abcdg bd ad cef bef aef h d abd abcef cdef acg ad g bef acdef bef abdg abd bdef acef abe ad bc cf abcf cf abcdfg abc abcg bdf bef ae bc abg cef cf abcdfg abd bg aef abef bdg abcd cd abcf df abdg abd c acef bef bcf bd cd bd cf acdef bcd c cdef abef def abce ad bd cf ef h bcdg bcd abef bcf adg ah abcd cd abdf acdg bcdfg abd ab² bcf cdg aefg cdg cd abdf cf ah ag d b bef ace cdg bdg aef bef aefg abefg acd b bef efg ah bdg abcd bef cef dg bg bcd cdf cdef adg cd acdef bef def abcef ceg cdef d acdef dfg abg bd cd ef bef bcdg dg acd abf abdef ah acg abg bf abcef ah abd abef ef f defg adg abg bd bcef adeg abd acd bcd f acef adg cd bd af def acdg bcdg bcd abef fg f ac acg ac bf bdefg bg cg bdef abf ah cd acg b² bf abe acefg b acd abc cdeg bdg bd cd bcdf af acefg bcd bg abc bcef bdg bd cd abcd af abdg abc acd acef bcef cefg bc cd bc af adef abefg d abc d abf abdefg bdg abcd af cef cdfg abdg b f ef abcefg cd bc cd bf bcefg cefg dg c abf abcefg bdg cdg cd bd bdefg abdg acdg d abf abcdef adefg h ac bf bcdef abdg h d acef acf ef abcefg cd abcf b² ef acdg bg abf acf acefg bdefg bdg abcd b² abcf bef bh cg f abf h defg abcd cd abcf bcefg c dg bg abd bdef abh acg ad abcd cf efg dg acd abd abef bh abcd bcg bd cd adh h ab² ef acf acdef abdeg b² g cf cdef acdg abdg abd abef acdef bcdefg abcdg abcf b² ef abcefg efg bcd d bcf bcdefg abcdg bc bcg ab bcefg cdefg bcd acd bcf bcdef acdefg h bef abcd befg efg dg acd bcf f acdefg cdg b² bc acdf aefg abefg bg abd acf aefg bcdefg abcdg abcf cf cef bceg bch acdg c acdefg abefg h bd af bf abefg d bcd abef ef bcfg cdefg abh abg bf abch aceg h c abd bcef cefg ab bdg ef acdf efg cg bg abd bcef abcdg dh ad acg af efg ach bdh abd abef efg dh abg bd ad cef bdeg acefg ag f abf ah ad acg ad bf acdg ab² cg acd abd abcefg adefg acg ac adg bdef ah abf acd bcf bdefg cefg bd abg bd bef efg abcdeg bg bcd bcef cefg abdefg abg cef ad cfg bcefg acd abd acd ceg abdefg abg bd cf adefg abefg abch acef acd aefg abcefg bh abcd cf bd beg abdg ag acd b abcefg aeg ab cd aef bcefg abh bcd acd b abdefg abh g af abcd ad cdefg abch acf bcf acd acdefg beg abg abcd cd acefg abefg acd b ab² bdf h cdh adg bdefg cefg abcdefg bcfg g ab² bcf befg cd bd ac aef abefg acd cg d b abcefg abe g bcdef ab df aefg ag bcdg abd befg aefg ab cf aef ad eg acfg adf b c aefg dfg cd aef ad efg bdefg bg dg acd aefg befg abch aef ac acdef befg abdg bceg ab² abd beg ceg g bef aef beg aceg ag c abc befg ad cdg bef bd ac aefg bcdfg abef bh abefg cdefg adg ac bd ac aefg bceg d abd c deg bdeg abg bc ad abcd bdeg c dg c aefg befg abg g bdg cdefg abefg abcg h abcdef abd befg abch acg af bc bdefg acefg h acd abd abcg ceg cdg ad bc abefg efg bcefg bch acef bdefg defg bcefg bcg bc cd aceg bceg acf abf abcef defg bcefg abg abcd ad efg ach bg h bcef adefg ace bcg acg bcef bcdf bcefg c ag f b bcdeg defg adg bcef adefg bcg abdg ag bh bcd abcefg acefg adg af abcd de eg abcefg abcg b f bce bcdeg bcg ah cd cefg abcdeg bg b ab² bce bdfg abg acg abcef defg abeg cdeg bcd abh aefg bcdeg cd abcd bcef abcd abefg aeg abcdeg abh bcd bcefg acdeg g abcef aef bdefg cdeg beg acdfg bcd acd cefg beg bh abcd bcefg cdeg abc acd b acd bdf abefg cdfg ah bef defg e bh h d bcf bcdeg abe abfg cd abcg ae afg bcd bcdg adh abcefg bcg bd cd abcd abefg efg bcd d ef d abcdg beg bh acdeg befg bg abdfg abcdef bcd acg aeg abcdfg abef bd ac be abcdefg abcdg abd c aefg abcdfg cd ah bef efg cg ceg aef c efg abcdeg ceg ah bh bd cg c bcdfg d abd befg ceg cdg bef efg ad adeg abc c abd abdeg cdfg abcdfg ad abcd ag bce abeg abcdef ach d abg bc bef cdefg e efg bceg dfg abd cfg aeg ae bcdef aef ad adeg e bg acdg d cefg ace abg bd ad adg e bg h c acefg abdg aeg g ad bd abdeg c ag bh cef acd cefg ace ad adg cd bg ach dfg acef acd efg acg ad cef cd ceg abcefg aeg h acd abg bdeg adfg abcd bh adeg abdfg ab² adef d dg bdfg adfg ab b² bg cg abcg adef bcef dg bcdeg adfg beg cdfg acefg cd eg cg abdef abd g bcd ce ad ah fg dfg beg bcef abd acd be e abdef bd cg dfg abcdeg abcg h ade acdeg beg bcg abfg bh abcg ag abe abdfg afg abd bcefg aeg h bh abdg e abcg bfg acd ef cde h def fg bd dg abce e acd ach d adfg ae fg ah ad cefg acde bh bcd d be g bh h ad abe bfg ceg abd d bcg acg cdfg abcd ad bd ag bg h bef bdg g aefg bc bef aef abcdg be bcdfg acd abd befg abg abcdfg acfg aef cg efg e d bcg befg abg abfg cd dh ad bd abc acd abcfg abef abg acde cdeg abcd bef acdfg ag adeg ef cfg abd abfg abg abfg bh aefg dg abde abcfg abh bcd g deg aef ad bd ad acdfg bcdfg acd abcdg abdg be g bef bd ag adg cdef d abg d abg ah bcdef cef ag acf ace acdfg h cdg acefg g acfg ch bh cdh befg abce abcfg acd bce ade acfg bdfg cd ah ce adeg bfg d dg befg adfg bcfg bh bg abcefg acfg abdfg bcef abcfg acd abde bcdeg fg cef bdg bg acde acdfg abdfg abh abcdg bcdeg adfg abcd bh ah abdfg acdeg acef acd cf acg bcef abfg bh abcd cg bcde bfg bcef ah abh dfg abfg abcef ah acdg abcg bfg bh bcd acg aceg cef adfg bg bh bcde bfg bdef h acd af abcdeg bh ah cg abcg e bcef bfg g bcg acg abdef ah cg abcg acdh abcde abdfg bh bcd ce abdef bcfg fg abcd ade c abdfg bh bdg acg af abfg bdh abcg abf f abdfg acdfg bdg abcefg adfg abcd ad bd cg abcg bfg bh acdeg acg h acg bh acefg cd ch cde afg bcdfg acg af abfg afg ah cg abcg h acdfg bcdfg acg bcg abfg abg abcdfg cg abcg bfg afg bfg bh bcg abcf fg abfg cd bcfg dg ab² bcdfg bch ach g abg aef bef abdg abch bg abcfg afg h g af bf bcdef aef ag abcg ag abef ach g abcdg abfg fg dh bh bg ag abef bcg bch abdfg abeh abg bcfg dg abcg ag be abdfg bh abg abcf abg acdef bh bd bch abcg bfg abcdef abcdg abcf h abcf adfg bcfg bdf acdh ade cfg h g cf abcdfg adfg bcfg ag f cg abcdef h g cf abcf fg ah bh acf e cfg adh g bcg g bcg abfg acdg adf bcf bg abcfg cfg abg abcf cf abcf ag bcdg bdf eh bfg cfg bfg g bcd cde acfg bd ag acf abcfg afg h cdg af abfg bcg bcfg ag abcg abdfg afg bcdfg abcdh abg bcfg fg ah bh ah abf cfg bfg acdfg bcg bf acfg abcdfg ag h abeh afg acef acdfg abg abcf adfg bcfg acfg abfg bh bg acef abh bfg adg af acg fg bg cg f ad afg abdfg e acdf acg fg ch cg bcde b afg h abh af abh fg h cg f abf afg ach bh bcg adg fg bfg cg abcdfg abf afg bcdfg bh bcg bf af ace fg abcg cg bg bfg bch bcg bcdf abce abfg fg abcdfg abcdf f abf afg bfg adg af abcdfg bde abfg bh eh ag afg h bch acdf acdh fg ch bh cdf abf bd bfg acg bdg cdg abd abfg bef bcfg cg acd bfg abcdef ah bf abg abfg bcdef abdg abf adf bfg acdfg abdfg acg b² g fg ch acfg acf bfg dfg ach adg cf abfg fg abcdfg ag acf bfg abef h bch df abcf cf abfg abch acf bcf dfg bfg acdfg abcdg abcf cf abfg bh bg bcf bg cde bdh abg abcf df abfg bch bg bcf bg abcfg acdfg abg cdg df g fg ah ag acf bcf cfg abdfg g af d acfg dh abch bcdg ag bg dg bdef abg abdf cfg bcfg abdef adf bcf abdg acde abcdh abdfg bch acfg bcfg acfg bg bh acf cg cfg abcdg bd cf acde fg abcdfg ag acf abcfg cfg ach adg af dh acfg ch dg abcg abc afg adef cdg af bf adfg ch dg abcg abcdf abdg abcfg acdfg abg beh fg abfg bch abcg abf cfg bfg abh abcdg abcf af abfg bh abdg abf f bfg abch bdg bf af abfg fg ah abcdf abcg abcfg abcdh bfg bcdf af bf fg bcdg cdfg f abf cfg ach acg ad bf fg acdh ag f abf abdg abdfg afg acdf bcdf fg ch cdfg abcg abcdf bg bfg acg bdg bcdf af abfg cdfg abdg abcdf abcg bfg afg bcdfg bf af bcfg fg dh ag f abcfg afg bdg bcdf af d fg abfg bdeh acf abeh afg bcdfg bch af bf fg abfg bcdef cdf bcf bde bcdfg abdeh bdg abcf adfg abfg abch abdg bcd adf bfg afg h bcdf fg abfg bcdh abcdfg bcf acf bfg afg h abcf df bdfg cdfg ch bcf acf bfg bd adh g cf abdf fg ch dg cdf bfg dfg bfg g df abcf acfg ch ag adf abcdf bg h abcdh df abcf abd d abdh ah abf cfg ad bch adh bcf bh abfg adfg acd bdf bcdg abcfg cfg bdefg abcf cf bdfg bh bcfg acdg df dg cfg ach abdf aeh bcdf abdh bcfg abh acd ag abcg abcfg bd cf bcdf acfg d bch acf abf abcg abcfg bcdh df abdf bdg ab² abd acf abf f abcfg bd abcdg bc acdf bcfg bcdh ch bcd acf abcfg bd ch abdf acdf bf fg acdh bdf f abcdf cfg bceh bd bcg bcdf bcdh bcfg acdg d abf f abcfg abdf ad abdf fg c fg f abf f dg bch ad bcdf acdf c abd af abd acf bfg cfg bcdfg bcdf af abfg fg aeg bcd ch abcfg abh ad dfg cf bcdf fg abceh abcdf ab² cg abh ad bcdf ad bf fg ch bch d abf afg ad abcdh af abcf fg d abd cdf dg afg bfg bd cd abcf bcefg ab² abdh acd bcf adf bfg abcdeg ad abcd acdf adefg fg cdf abf f bfg bcdg ad bch af bcdf beg deh abch acf bdf bc cd bcdf df g abcdg abfg bcd d bdf bcdg bfg bc ad bf df ch abc f abf cdf b² ceh abdfg abcf df abcdfg abch acdeh bcd bg ac afg cd abcd cf adg fg abceh abd acf abf bd ach abcf cd bf b d abd acf bdf bch ad fh df abdf acfg beh bcd acd bcf abcefg cd bch ad bd abch bcfg bcd deh bcf f b² abcd cd abcf acdf abfg bcd acd bdf acf abcfg bd bcfh abdf df abfg bcd ceg abd cdf bcf cfg cd abcd df abcf eh abceh bcf adf aefg ab abdfg bd af bf df bcfg fh d bcf cdf abcfg abcd af bf bcg d beg acd abd f abf abdeg ad bd af acg bdg acd abd befg cg abcdh ad bd af adg adfg acdh abcdf f dg ab ach bc ac adg abceg d abd d abf abdg ad bd ad bcdf af abeh b d bcf f aceg bch ad bf bh abfg b f abd abcg beh afg cdh bcdf df c beg d abd adf dg fg ad bcdf df bcdf fg d bdf adf bdf bd ad efg cf abfg fg aceg bcd acf acdefg abcefg bfg bcdf cf bf cdfg eg abd cdf bdf f b² acdfg h abcd cdfg aeg bcd acdh abf cdf ac afg ac abcd df cdg acef acd abf f cefg bcdeg ac abcd df abdf abeg aeg abd adf abcdf bcdeg eg bf cf bf abg acd abd f abcdf adf cd abcd cd abdf df cdeg aeh acd abdf bch abdef bd af abcd df acd bcd acd bdf acdh beh bd adh abdf cf cdg bcd eg bcd acf b² abeg cd abcd cf ch ceh bcfg abcdf f bcf def ad abcd adf bcdf abefg bcfg bcdh acd bh adf bdfg abeg df bd abcdefg ab² beg abcefg bdf adf abcfg aef bfh bd df deg abeg adeh abd adf b² bd acdeh bd cf aefg abceg abeh abd f abf ab ach abdf af abdf cdef acd abdh adf bcf ef abcfg abcf cf abdf bdg d bcdh f abf f cg aceh af efg af adg beg f abcdf adf bef bceg af abdf df c abdeg d bcf bdefg dg eh ac bf cf cdg bceg abef abf adf dg abdg cd bf ad abdf bceg eg bdf adf bdf cdf acdeg abcdh ach abdf cdef aeg abch abh abcdf bcdg abcef acdfg df bf acdf abef ceh g bdf acf bcdef beg ach abcf cdfg acg adef d abf adf bcf abcd cd abcdh cf g abd deg abcdf acd abcdf cef abcef abcd af bf bcdeg abcef abcdg cdf abcdf adf abdef bd df beh af bdef abcdeg f bdf adf abcef abeg af abcd cf ab² abdh acd abcdf f bcf def acdf abcd cdfg d adef f defg cdf abcdf abcdeg cd abcd cd abdf abd aeg bcd abdefg bcf beg abcef abcd acdf abcf cf abcdef abcdf f ach bch ceg abcdh acdf bf cdfg eg abd bch bdf adf bcdef abcd bcefg abdf df abdf abc bcefg abcdf abcdefg cg abeg acdeh bf cf cdg ceh abdeh abf adf dg acdef bef cefg bdefg abdf bcd abef defg abdefg h f eg ch abcdefg cdefg abeg abef bcd cdf bcf ab abcef abdeg abch bf eh abcdef adeh bch abd eh bcdef aef bcefg adefg acdf adg adef acf h abh abcdf aef cdh cdefg acdf acd abeg acg abc bch h aef cg adeh acdf abdf abceg acg abcdf ceh h abdg bef bceg bh bdfg acdf bdef bceg bfh bcf bdefg ac abcdh adfg bcfg df adeg beg d abcdeh bcdefg cdefg bd bfh defg df d adef ceg fh f abcdf bd ad bcfg acfg abcdh aceh acg bcf bcdefg abdfg cef abdef beg aeh ah acdeh acg aefg abdefg bdeh bdeg ad bd bfh bcdf bdg bdef adef bfh defg abdefg ac bg bh bdfg abcefg c acef bcdefg defg abh cg bch af acefg abcdefg d abd abcdeh h afg abcef abeg abeh bcdeh bh c bcg g fh afg cefg bcdg abdef ah bh acefg bdefg acdeg afh acdfg abeh bch ag bcdeg bfh abcdfg bdg cdeg acef bcefg ach cdf h abdeg bcefg acdh eh defg aeh eg ach bdefg abdef eh abdef abcdfg abcefg cdg abd acd bcdfg acdfg bcdfg bg acdg cdefg cdfg abdf abg abeh h bch bcdfg bcdg cg abdg bh abcdfg abd cdeg bcd bdefg defg bch bcdef aef fg ch cdfg adg abeg abdefg abeh bch bcdef def fg adefg bh acdeg b deg bdeh eh abcfg aef bef adefg bdefg cdefg beg acd beh aeh b² bg cd abcdfg adfg d abcdg abcdef acefg adg ach abefg dg def abch bdfg bcd acd cdef abdefg abcfg bch cd bceg abfh cdefg abch deg bdg bch abdfg bcefg cg bg acdg beh abdefg acfh bcd acg h dfg abce bdeg abch ch bh cdefg bdeg abcdef afh cfg h adeh bef bcdg bcdefg ah bdeg acg abcdg dfg cd bc ag bcdg adfg bf bh g abc abcdeh abcdg eh abceh abeg bh ah bh abdeh bcg g abcfg abdefg ac def acdg bdfg bh abceh abg dfg abdfg abh cdefg deh bcdef ah bdefg ch abg d abdfg bcdefg bcf ae abdeh beg eh adefg bcfh acg b abh ach abh abdef def ag abceh aeh aceg bcg cfg defg abdefg acdg bcdg bcdh cdefg bcd aeg bcdeg eg abcdg bch bdfh ah bcdef abcdfg bh adefg bcdeg acd h abh ach bd abcef abcg abdh c cdeh bdef b abdefg h bch ag bceg bdefg abcdfg deh acg bcdfg abcdh bcdfg bc acdeg abcd dg abcdfg abch abcdef cdef adg defg bch acdg bdeg dg d fg abdeh abg bdef abg acdfg ag acdef abef abcdfg abd acefg abd bdef bdg bch ach ah abdef abfg bh abdeh aeh acd bdg adg bcdfg dfh bcdef abcg cdfg abdeh cdeh adg cdef acg h ab bcdeh abfg cdfg beh bh abdeh acdeh acdfg beh abdefg b² abeg fg abdg abdefg abdeh bcg abef abcfg acdfg abcdeh abdg ag abcg abch ah cdeh bdef bcdfg abh cd acdef dg ch acdg ab² cdef adg ach cdg beh fh abfh abdg ag acd abch adg bcg acg abcdg abcd abdeh def acdg bdfg adfg afg cdef bdef h abcdefg bdeh adeh bef abdg abcdefg bfh bcd abcdef bcdfg bd cfh def ag abdg acfg acd deh adg cdefg abcd bdeh cdeh abdef abdg acdg ah abcdfh g abcdg g cd abcd abdh cdefg ag acd aceh abcfh abcdg acfg acdefg adeh abfh def ag acd bcd bfh h cfg abcdg abh bh ch ag bcfg bdfh abceh adef c abcdg abcd bdeh deh bef bcfg dg d deh adg cdef abcd ad fh cg bcdg ag ah abch abcf abg acg ad deh bh abcdeg dg defg deh abcfh abd bdef bdg fh acfg ah adfg bg abc abdeh bdg aeg abg abh bcfh bg abdef bg abd ch h abef bdg adg abcdeh cdeh bef abcg abd d cfh abh adef ceh ac adfh bcdef aef abc cefg cdfg bdh adef bd beh adeh ad abcg abd d abc bcdeh abcdg adg bfg bch bdeh acdef dg bg bdfh fh cdef abcdh abg abdefg ach abdg bef abcg abcdfh cdf afh abcf defg bd abdeh bcdg abdef abdg bcd ch h bcef adef bd abcdeh bch bh abfg ag ch acdeh abcdef ad cdg bdg fh bdeh cef dg ab² b efh af adg bcg bcdfh bh def abcef abde b aefh befh cdg abcfg abcd acdfh cdeh cg bcdg bcd ab² afh bcef abcdg abcd bcdeh fh dg bg b bfh befh bdef abdfg abcd cd befh cg acdef dg ab² afh bch ach adg abcfg bcefh bdeh abdg abcdfh acd bcd afg ach abcd abg ab abfh abdg acfg ab² b bdeh adef bdef ad cdg h abdg bcf acd adfg acfh deh cdg cd abcdefg bceh adeh dg abdg adfg acd afh abdf df adg b² fh bh bdfg ag adfh abdh adg df cdg abdfg abcd ac def bcd abdg bh efh abcdg abdf abg bch abcdfh fh abcdf abdg cg aefh cfh adg cd abh dfh ch bdf abdg ag abcdeh abc bcdefg abcdg g bfg ah acdg abcg dg aefh abd cdg ef bd ad bc abdh cdf abd abdg bdfh aefh h cdg abg acdfg cefh abefh cg c bdfh abdeh h cdg ac cdeh bh ah abcdeh d abc efh h bcdf ad bd acdfh abefh bcdh abcg ag efh bcefh abcfh acdf bd ach befh bh d ag d deh abh ad bd ac bd bh acdef abd abceg cdeh abh bdg bd abg ab abch ah adfg cefg abd ab² ef acg ad cdeh bcfh def bcf cdf acdg acd h abcf defg abcd cd abdfh bcdef bcde adeg ab² abcdfh abdefg ach g b² abcd defh adefg dg ab² bcd abdeh adh abcd b² cdfh bh cdf abch d adfg abh bdg bcdefg b² abcd aefh ch bdf acd bcd acd h cdg cd bd abdeh ah abf acd abd acd bcd bcdfh cd abcd cd abefh abcdfh bcdg bcd acd abefh abh cd cdg b² abdf bh acf bcd abcg bcd abh acdefg bd cf bdh abcdfh adf acdg acd afh abdefg ach abcd ad fh ad ah acdg abcg bcd acd abc abcd abg bd efh befh abcef abdg bcd c adh bgh h ab abfh adfh acdg acd dg adf deh cdg cf acg abcfg befh abch bcdg dg adf afh abh adh adg ad bdh ac adf bcefg d abd c abcdg abdf ad abcf ac ch abcdefg f abc efh abefh bcgh acdf bc ac ah bcdh abcg abc d befh bcdefg bcdeg bc aefh bd aefh abdg abd d befh aefh cdh bd ad bd abch cef abd d adeh bch h acg ad aceg efh efg dg d ceg bcdefg ach bd ac bd ad ah abd abdg ag efh befh deh ac cdg bcfh ah abd c b c cdh adefh bdg bc abceg befh bdefg acefg fg c abdh acd cdh bcefg abcdeh acfh efh abdg dg adf abdh cefh ac abcefg abcdeh abcd efh ab bdfh acd bcd acd ach abdefg abceg acfh bh abcd dg abcg bdf ab² bdg cefh agh abcd b² abcd abcdf bg cfh ab² b aefh ach abcd abcdg bcdfh acefh acefg bdf ab² afh abcefg ach abcd cd abcd aefh bg acdg bcfg b d acdf cdeh abcdg abcd bdefg cdfh bcd ab² abd ab² cefg bdh b² ab efh acdeg bcefg cdefg bcd efh befh bgh b² cfg bcg befh bcf bce bcd f bcefh bcdfh ach befg cd befh acefh acd ag acd befh cdg acdefg ade cd eg cefh acd abch aefg deh acefh defg adg cd abcd abcdfh cdefg bcd dh bh ah bcefh abcd acdefg abefh ad cdfh bcd dh bcd abcdeg acdefg g ach abcd dfh befh abefg abcg abd aefh cg abcdeg bcdefh bch ad befh bh efg abd abcfh abc befg acdefg ce bdg bc abceg cdefg abefg bg dg d abc cdg ad bd ac cdefg abcdefg d abf abcfh aefg g cdh bc acdf befh abgh dh acdfh acdh cdeg befg acdf bd df bc abefg cdefg abd c aceg befg gh cdg bcg befh dg d abd gh bdeh bdeg cdh bd ac bc abcdefg cdefg abcefg cdgh befh d defg bd ad dfh bceg ch cde acefg bcdh bg bdefh acde abcdg g efh abcefh bcgh acefg bh bdeg befh abcd defg bcdfh abg acdeh ae bcde abc abcfh bcefh abdefg abdefh abcefg abcdeh abdf adefh abcde bcefg acdh befh bh acdfh abdefg bceg abdf b² bcde bcefg dh bcd bcdfh cefg abcefg b² abcd abceg adefg cde acefg 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bdgh bcdeh cfh ch abcfg dfg ac bg bdfh bcfg adfg abdeh abdh ch abdfg acdfg b² cdfh abcde bdfg fg d bcg cdg abcdg afg bdeh bcdgh cg abfg adfg bcfg adfg abdfh acdfh cdg abcdg bgh acdg bch acfg abfg adfg adgh abch cfg bfg abcgh ad abcefg h abfg bcfh bdef abcdg abcfh abcfg abcdh ad bcdg acdg bcfg abd d abg adg bfg acdfg bdeh bgh ag bcdg fg bcfg abg ch abcdg afg bdeh bg bcfh bdfg cf bdeh abc g abcfg afg bfg bd abegh acfh abd acfh deh g bdg abcfh ac cfg ad fh dg d abd adg bh cdg abcdg acdfg agh bc dg bdeh abd abcdeh cfh acg bdg acdfg abdfg bcdg h abfg cdfg dh abc acg bdg cfg bcde abcd abfh bcfg cdfg bcdeh deh abcfh bdg f bcdfg ab abfh d abd abfg bdfh acg afh afg bfg abcd abcdeh fh fg d bcd bcdeh b ah abdfg bd cd abdg bdfh abfg fg dh bcd adg bfg abcd cd bd b² abfg adfg acd adef acg bcdfg cfg cd ab cd abfg fg ab² bcd cgh bh adg cd abcd dg abh h ab² b ab² abch abcfh cd dfg b² acfh abfh bcfg acfg ab² bdg bfh abcfg cfg cd abcg h bdfg bcd ab² abgh bfh bfg afg cd bc dg abdg fg ab² abd bcdfh cfh cfg ad cfg b² abdg abd acd b bcdeh afh dfg bfg bd cgh bg acfg abfg fg d afh dfg cd cfg ac fh acdg acd fg bch abc ah abcfg bc ad bg bcfh bcdg acfg bdfg agh bfh bcdfg dfg bfg bd bdfh acd acfg abfg abcdf ah abcdg afg ac bd bcfh bcfg fg c abc cdgh afh cfg cd bc acdg acfh bcfh bcfg fg c abch acdfg bdg bc ad bg bcfh abdg abd c abd ch abch bc ad bg abfh abfg abc ab² abc cdg bfg afg ac ab h bcfg abc d abc acd abcfg cfg ad bc bdfh abh abc d abc abcfh dfh bd cd abcd ad cdf cg c abd ab² bcf afg ad bc cgh bcdg dg abfg fg c b afg bcg adg ad bd bdfh bcdg fg acd bcf abdfh ad afg b² cdeh cg abh afg abfg dgh acd bfg afg b² afg h abfg acfg ab² bcd ab² b ch bfg abcd ad abdg abc ab² b acd afh ch bfg abcd b² abdg h abfg bcd ab² abg ch abcfg ab b² abcd b² bcfg bcd d bcd ah bh ab b² bd abfh abh acdg c bcd bfh bcdfg afg abcfg ce ac fh h c bcd ab² bh adg cd ab b² bc cdfg acd abd ab² acdfh cdg abcdg ab cd fh bdfh abfg bcd c b abcfh cd abcf ac ab abfh bcfg b acd abd c bh cfg ac ab ac bcfg acfg abfg b c bh g ad ab ad bcdg acdg abdg abd adgh abd ah bfg bd ad acfh acdg abcg abd ab² abg cfg abdfg afg ac acfh bdfh cdf fg c aefg ch abcfg bc ac bc h abdg abc f abd cdg abch bd ac ab bdfh acfh cdfg c fg c dfh bf ad bd b² acfh ach abdg b c abch acg ac bc ad abh h d abc c bcd bcdf ad bd ac bc acfg adf abf abegh abc ch bfg bd cd bc b² cdf fg d bcd ab² afh afg ac bc dg cdf fg bfg bcf g abch afg bfg bc cd bch fg gh abd begh b ch abcfg ab ac acfh fg abfg b d bcg bcdf fh abcd ac ab bcfh bch bcd acd bcf bcdfh abch afg ac ab cg fh bcd acd abd acg bh cfg bfg abcd cg bch fg acd b abcefg afh ah cd abdf cd abdg bcdfh ab² bcd ab² b bfh bfg abcf b² abdg h bdfg bcd ab² b abdf df abcd b² ab abfh bcfg ag c b acg bfg afg cf abcd acdg adfh bcf ab² b bfh df abcf df bd ac abh h ab² bcd g acdefg cfg cd abcd cd bd abcdf d fg c bcgh bcdfh dfh bc b² abh bdf cdfh fg ab² bcd ah abdfg cfg af ab acdg acfh acfg d b c bcdfg bf bfg bc cd abh adfg cdf b abcfh abcfg cfg bfg bf ag efg bcgh bcfg abc ab² afh cfg acdf afg ac bcdg bcfh bcfg acfg c abc cfg abcfg bc ac acefg bdfh abcdfg abc c abd bcdefg af bf ac ab bcf adfh fg d aefg befg dfh cfg ac bc ad c ach f b d df abcfh af bd cd acfh bdfh bch bcd ab² acdefg ch bcdfg bf ad efg cdfg acfh cdfg abfg bcd ch af afg cd ab bcefg f afg d fg bcdfh afh ch bfg ab b² abfg fg abcdfg bcf bfh afh cdeh bfg ab b² acefg fg acd bcd ab² df abdfh b² abcd b² abcd bcfh fh degh ab² bcd bfh bfg abcf cf abcg bdf abfg fg ab² b abcefg bh afg ad abcd abfh fh bcd acd bcd ab² abch acdfg abcfg bc ac fh h bcfg bcd d afh bcdfh bh bd cd acefg h cdfh bcd abdf cefg ah cd bc ad bc abcdfh acf bcd ab² abc ah b² dfg ac bc abfh abce acfg ab² bcd abcefg bfg ah b² bd acdg abh abfh acefh abc abcefg fgh ah agh abcg ad abh h bcfg abd ab² defg abcf afh bg ac acefg h abfg abcdf d dfh cdeh dfh dfg b² fh bdfh abh bcfh d abc abefg afh abcfh acdf ab bdefg bcfg adfg abfg abd d cfh bc cg acf ac bcfg bcfh bcfg b abdf cfh cfg cfh abdg ad aefg ach c b d acdefg abcfh abch bf ad efg bcfh d befh d abc bdfh cfh bdefh cg bd ce bch 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abcdg abdf cefg abcgh afh bg ad abcd bfg bch abcdg d efg abcgh abcde adf ag abdg abefg adgh abcdg g efg bcdefg bde bcdefh ag abdg ce be ae g abg befg be ch ag bg cg gh acde adg bcd d abe bcfg ag adf cg cfg cd g abg g abd bgh abe bg cg f cde adg abg acg efg cde abcde bg dg bcef b² be bcdefh bcdf abg bcfg abe bfh cg abcg ae bcde abcfg adg af bdfg abe bg ag bg ag cefg bcefg acg bcg acd abd abdgh cg bd abfh bcde ace aefh acdf bcdf cefg abcefg acfg abdg abf ab bcefg adgh abg bf abg befg acdg abdg abf bg bfg bce bdg bf abcdg ab² agh abfg ag bg ad efg bdg acg acdf abcefg bcd f cg efg dg cfg abcdgh bch df defh bce de abf bg acdg abde de cdg af acg cf ade bh dh ag acefg ac adgh abg g abg d cg abfg bdf acf ace efg bcg acg abg cdg bcdh abfg ag abcg abefg cdefg abcdeh acg adh g efg de bcf adf bcf abde bfg g bdg adg fg ace agh bg bcf aefg ce abcf abg bf afh bcdefg ag acf bdf acdfg de bdeg cf abdf bcg abcdfg bh adf cg bcdg abefg abce abg abcf cf abefg acdefg abcdfg bcf f abefg efg cf abcf acdf befg 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cdefg aceg acdef df befg abch adf cg abcg ag bdh bcgh g df cefh cfh aegh bdf bg cg abefh abcdgh abcde cf g abdh ch bdf abcg abcdf bch cd abcde bcg g abdefh adfh bcd abcg ag acfh efh bch acde acg abg bcdgh ag acd cg bcefh cdefh gh cd bf acdf dh b aceg ag bg cdefh abdfh bcgh abcd acdf aefh acdeh ae cg abcg bcd adgh cdh abcd abg aefh bdfh bg cg abcg ag abcg ach bch abg bf abcdg bcefg bcdegh d abf abcg cd acgh bcg bcdf abcefh cefh acdgh ab² abf abcg abgh acgh bcdefh bc acdf acdh acdeh ab² abd dh efh cdgh bcg bd af bcdf agh dh abc bg cg gh cdh bce bcg bf adeh abcdfg bcd c ag bg abgh bc af acg bcefh abcgh acef c abd ah bcf bcegh ac bd deh defh bcdh d ag d ag deh ac bf bcg abdeh dgh degh ag bg ag abfgh adh g abg g abg bdeh abd f abch bdefh bcgh bc abg abdeh abg ch abc acf bcd adeh aeg abh abg abdeh deh ah cg ab² bcd bg bcf acgh abcdg bc deh ah bh ab² ag adf acdg acgh abg g abg bgh abch abcgh abc d bcd abcdeg ac abcd bcg g cf abcg abc acd bdf abcdh adeg abcde ac g deh abcgh abc c abcde bcefh 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abceg cdeg bd abg g abfh abcdef bcf abefh bdeh cdeh aceg abcdh befh abcgh cf deg ef abcdegh bcd deh abcdeh aef ceg bd deh eg ef bgh abd acfh ceg abceg deg acdefh cdeh aceg bceg acd efh cdeh abcdeh cdf bef cdg ac bcdeh ef eg bcd d abcdeh beg bef abdeg deh abdeh cdef abef adef cdeh abcdeh cdeh bef acdef cd efh cd abef ef abdgh acdfh abceg bcdef bdeg ceg bcdeh cgh aceg abeg aceg agh cdeh ceg beg cd cefh abcegh bcdf bdg bcdg bcd cdf bceh beg aeg cdg cd ceg abceg bcef abdeg c acdefg abceg bef abcf deh abcd abch aceg df cfgh abeh adeh eg aef abdfg abcd ceh eg df abcdfg acegh acd ceg cef abcef abce adh ah adef abdg acefh ch abcfg adf aeg cefh deh ceg adef bcef bdeh bdfg abdeh def abcef cefh ce bdeh bh aceg bcdeg bcefh bcd abeg bdf cef ad bdeh bcfh bcef bceg bcefh abgh beg bcf abdeg cd abdeh agh acdeg df deg bdeh deh aeg adf cdeg defh adeh ab adef aeg abgh acdeh eg beg abcef abdeh deh abdeh adef bcef efh gh abgh cef bef bdeg ceh adfh beg beh acefh abcefh bdeh beg abdef bcdeg abcefh bdh adef bcef ef abcdef abgh d bdf beg befh abdeh adh eg ef abcgh bdeh abefh eg aef abf abdeh adeh ah aef bcdf acefh gh abcef abdeg abcdf abfgh agh bdeh abeg bcdf bdeg gh aeg adf bef cdf agh egh bceg eg bcdeg abcdegh efh bdeg bef bceg bcdegh beh eh abef acdf abegh bcgh ch bef cdef fgh abdgh cdeh aceg ef adeg abgh eh bef aef ceg acdegh cdeh ch abceg ceg cdegh abcdefh bdeh cdf ceg bceg agh bg ad bcdg ef cdeh abgh beg abd abdeg agh beh cdef bf abceg d bceh d abf aef abfh cdfh abceg abef bceg abdgh efh acd h cdef bcf abcgh abfh abef dg deg acdegh d ceg cdf abcef abcgh ach eg abeg abdef acdgh acgh abceh eh ceg def acdeh bg af bdef df bdegh bceh g cdeg adef abcdegh efg abefg bcef bceg ah bdeh acg aeg def abcdegh abdeh deh bdef def cdeg bcgh cdeh abdef adg agh cefh deh acdeg abeg abdf degh cdgh abeh cef bdf abfgh agh adfh acef bcef cegh gh abch adef abcef abcdeg cgh ah acef bdef abeg cdgh bdeh abcdeg bdf beg bh abcdeh acef abdf beg bcefh bdeh ceh b cdg abdefh ah cdh abcf adef cdeg bceh dh acdeg cef cdeg degh adh aeg abeg cdeg af gh abdef cef aeg bgh deh

Monoid Structure