Details Page for 0.1163

Complete Solution is Known:

MSV File: q-0.1163.msv

Growth Pattern:

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Details for Q₁₂₂₃₄(0.1163):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y | a²=1, b⁴=b², b²c=ab², c²=b², d²=b², be=b³d, ce=ab²d, de=b², e²=b², bf=b³d, ef=b², f²=b², b²g=b³d, bcg=ab²d, bdg=b², cdg=ab³, eg=dg, cfg=ab³, dfg=b³d, bg²=dg, dg²=bg, fg³=fg, g⁴=g², bh=b²d, ch=ab³d, dh=b³, fh=eh, gh=b², h²=b², bi=ab², ci=b³, ei=ab³d, fi=ab³d, gi=abg, hi=ab²d, i²=b², bj=ab², cj=b³, dj=di, ej=ab³d, fj=ab³d, gj=afg², hj=ab²d, ij=b², j²=b², bk=b², ck=ab³, dk=b³d, ek=b³d, fk=b³d, gk=fg², hk=b²d, ik=ab², jk=ab², k²=b², bl=cg², cl=b³, dl=cg³, el=cg³, fg²l=fl, g³l=gl, hl=ab²d, il=acg², jl=afgl, kl=fgl, l²=b², bm=b³d, cm=ab²d, dm=b², em=b², fm=b², gm=b³, hm=eh, im=ab³d, jm=ab³d, km=b³d, lm=ab³d, m²=b², bn=b³d, cn=ab²d, dn=b², en=b², fn=b², g²n=n, hn=b³, in=ab³d, jn=ab³d, kn=b³d, ln=cg³, mn=b², n²=b², bo=cg², co=b³, do=cg³, fgo=fgl, g³o=go, eho=cdf, io=acg², jo=afgl, lo=b², no=ab³d, o²=b², b²p=b³d, cp=ab³d, bdp=acdf, ep=b³, fp=b³, gp=acdf, hp=b², ip=abp, jp=abp, kp=b²d, lp=ab²d, mp=b³, np=b³, op=ab²d, p²=b², bq=b³d, cq=cf, dq=df, eq=b², fq=b², gq=b³, hq=b³, iq=ab³d, jq=ab³d, kq=b³d, lq=ab³d, mq=b², nq=b², oq=ab³d, pq=b³, q²=b², b²r=ab³d, bcr=acf, bdr=adf, er=ab³, fr=ab³, gr=adf, hr=ab², ir=b²d, jr=b²d, kr=ab²d, lr=b²d, mr=ab³, nr=ab³, or=b²d, pr=ab², qr=ab³, r²=b², b³s=bs, bcs=abs, es=b²ds, fs=b²ds, gs=bds, hs=bds, is=abs, js=abs, ks=bs, ls=abs, ms=b²ds, ns=b²ds, os=abs, ps=bds, qs=b²ds, rs=abds, s²=b², b²t=t, ct=at, et=dt, ft=dt, gt=bdt, ht=bdt, it=abt, jt=abt, kt=bt, lt=abt, mt=dt, nt=dt, ot=abt, pt=bdt, qt=dt, rt=abdt, t²=b², b²u=u, cu=au, eu=du, fu=du, gu=bdu, hu=bdu, iu=abu, ju=abu, ku=bu, lu=abu, mu=du, nu=du, ou=abu, pu=bdu, qu=du, ru=abdu, u²=b², b²v=v, cv=av, ev=dv, fv=dv, gv=bdv, hv=bdv, iv=abv, jv=abv, kv=bv, lv=abv, mv=dv, nv=dv, ov=abv, pv=bdv, qv=dv, rv=abdv, v²=b², b²w=w, cw=aw, ew=dw, fw=dw, gw=bdw, hw=bdw, iw=abw, jw=abw, kw=bw, lw=abw, mw=dw, nw=dw, ow=abw, pw=bdw, qw=dw, rw=abdw, w²=b², b²x=x, cx=ax, ex=dx, fx=dx, gx=bdx, hx=bdx, ix=abx, jx=abx, kx=bx, lx=abx, mx=dx, nx=dx, ox=abx, px=bdx, qx=dx, rx=abdx, x²=b², b²y=y, cy=ay, ey=dy, fy=dy, gy=bdy, hy=bdy, iy=aby, jy=aby, ky=by, ly=aby, my=dy, ny=dy, oy=aby, py=bdy, qy=dy, ry=abdy, y²=b²>

P = {a, b², af, adf, g, acg, ag², g³, acg³, al, ao, eo, fo, ako, mo, abp, aq, ds, acds}

Phi = 1 a a 1 b b b ab 1 a b² c ab b b d e f b² g h i b abc e ab² b² ab² b² j k b³ b³ fg² ab² cg² b³d b³d b³d l m n b²d cdf ab² b³d b³d ab³ b³ o b² ab² cdf cg² ab³ p ab³ b²d b²d q cdf r b³d ab³ ab³ s b²d fgl ko ab² acg² b³ ab³ ab³ b²d b²d ko cg² b³d b³d b³d ab²d b²d b²d b²d ab² ab³d b³d b³d ab³ ab³ ab³ ab² ab² ab² b³d ab³d b³d ab³ b²d b²d ab²d b³d ab³d b³d ab³d b²s b²d b²d ab²d bs ab² b² ab³d b²s b²s b²d b²d ab²d bs b³d b³d b³d ab²d b²d b²d b²d bs ab³d b³d b³d b²s b²s b²d b²d ab³ bs b³d ab³d ab² b²s b²d b²d ab²d b³d b³d b³d ab³d ab² b²d b²d ab²d ab³ ab³ b³d ab² ab² ab² b²d b²d ab³ ab³ b³d b³d b³d ab²d b²d b²d b²d bs ab³ b³d b³d ab² ab² b²d b³ ab³ bs b³d ab²s ab² b²d b²d b²d ab²d b³d b³d b³d ab² ab² b²d b²d ab³ ab³ ab³ b²s ab² b² ab² b²d b³ b³ ab³ b³d b³d ab² b²ds b²d b²d b³ b³ ab³ b³d b² ab² b² ab³ b³ ab³ b³ b²ds ab² ab² b²s bds b²d ab³ bs b²ds abs ab² ab² b²s bds b³ ab³ ab³ b² ab² ab² ab² b²s b³ ab³ ab³ b²ds abs b³d ab² b³d bds b³ t ab³ b²ds b² ab² b²s ab³ b³ ab³ t b²d ab² ab² bds b³d b³d ab³ b²d b²d b²d ab² ab² b³d b³ ab³ ab³ ab³ b² ab² ab² ab² b³d b³d ab³ ab³ b²d b²ds ab² ab³d b³d bds ab³ t b²d b²ds at ab² t ab³ ab²s ab³ b²d b²d ab² ab² b³d b³d b³d abds b²d b²d abs bs ab² b³d b³d b²s ab³ ab³ bs bs ab² ab² b³d b³d ab³ ab³ ab²d b²d abs ab³d ab³d b³d ab²s b²s ab²d ab²d abs ab² ab³d ab²s ab²s ab³ ab²d ab²d ab²d bs b³d ab³d ab³d b²s b²d ab²d ab²d bs abs ab³d t b²s b²s ab³ abt bs bs b³d ab³d at b²s b²d ab²d ab²d b³d ab³d ab³d ab³d ab²s b²s ab²d ab²d abs ab³ ab³d ab² ab²s ab² b²s bt abs ab³ b³d ab³d ab³d ab²d ab²d ab²d bt bs abs b²ds ab²ds ab²s b²s at b³ ab³ bs abs at t b²s b²d abds ab²d b³d b³d ab²ds at t b²d b²d abs bt ab³ bs ab²s ab²s ab² b²d bt abt ab³ b³d b³d t ab²d bds b²d ab³ abt ab³ b³d b³d t t at b³ bt bt b²ds ab²ds t b²s bds bds abds b³d b³d b²ds at t bds bds abds abt bs bs ab² at t b²s bds abds dt b²ds b²ds b²ds bdt bds bds abds dt ab³ b²ds b² t t bds bds st bt b²ds b²ds bst bdt bds bds bds dt b²d b²d at t bdt bds b³ abt st b²ds ab² at t bds b³d ab²s adt b²ds b²ds b²d abdt b³d bds bds dt bt b²ds ab² bst bs bds b³ b²s bt b²ds b²ds bst bs bds abds ab²s dt b²ds ab²ds abs abdt bs abds b²s b²s ab³ bt abs bs bs bdt st b²s b²s abt adt ab²d abdt bds abdt b²s b²s adt ab²ds b²d bs bs ab³ b²s b²s t bt abt bs bs bdt dst b²s b²s dt bt bs bs bs t b²s b²s b²s bt abs bs bs at st b²s ab²s ast ab²d bs abs abdt at b²s b²s ab²s ab²d bs bs ab³ t t ab² ab²s bt ab²d bs bs dst ast b²s b²s bdst bt bs ab³d bs t ab²s b²s b²s bt abs bs bs at t b²s ab²s ast abt bs b³d ab²ds at b²s b²s ab²s abt abs bs bs at t b²s b²s bt abs bs b³d dst u at b²s bds abds abt adst bs u at u ab² bs abs abt b²ds adst t b²s abds abds abds bt ab²ds ab²ds at bdt bdst abdst abds abdst abt bs ab²s at at b²s abds abds bt b²ds b²ds b²ds ab²d b²d bds abds abt dt bs b²ds at bdt abds ast abt abt b²ds b²ds b²ds at bds bds bds bt ab²ds b²ds b²d bst bdt bds bds ast bt bs ab²ds bst t bds bds abds bt b²ds b²ds b²ds b²d bds bds abds abt adt b²ds b²ds bst bst bds bds st abt ast b²ds abs bdt bds bds bds dt 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dsu ab² ab² ast absu bst bs abst dsu abdu b²s dtu btu stu bst bs bdtu abu ast st st dtu bst b³ bst dsu ast ab² abt adu du ab³ dst abtu bdu ast b²s atu u bst b³ abst dsu st b² b²s bdsu bst bs adst abdu bdu b²d abdst abdst bdsu bst bst btu dsu ast tu b²s adu bst abst abs dsu dstu tu ab³d bdst du bstu dst dst abdu u ast abdst bdsu bdsu btu abs abdu bdu ab²s b²s abdst bdsu abtu b²d bdu abdstu u tu bdst bdsu asu dst dst dsu ab²ds absu b²s adu bdtu bs abs adst dstu atu ab³d abds stu bu b²d b²d abdt adsu abdst ab³d bdst btu asu ab²d ab²ds u atu bdst bdst abstu bu adst ab²ds v u u bdst abds abds dst abdu dtu atu u bdst abds bu adst ab² dtu u abt abdst adt bds v b²d ab²d ab²ds abv abdst bdst abds abtu stu ab² bst abst u ab³ st ast bu adst dst adtu bdst abdst bdst bds abstu dst adst bst atu u bdtu st ast bu adtu dst bt abst abdtu abdst bds v abu abdt ab²ds bst abdst dt st v bu adstu bst abst au dt bds ast adstu dtu dtu b²ds bv u absu abdu asu v bdt bst bdstu u bv ast st ab²s bu bdt bst bst abs 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astu atv bv ab² ast abtv u b³ stu adstv atv ab² astv adtv btv av v stu atv bv abv bstu tu adtv abuv stu bdtv abdstu ab² adv bdsv dtv ab³ dsv adstv atv abdu abdstu abv v adstu au abdv bu bdstu b² ast asv adstu ab³ bst uv abdtv bdstu st bdsv dtv adstu abst bv tv ab²ds auv b³d du btv b³ bdv absv abstv abdstu dv bdsv dstu dstu adstv abdv bdstu abdstu ab² b³d dtv adstu bst abdv bsv bstv auv adv sv abtv abdv ab³ abstv bdstu abdstu dv b³d dstu abtv abtv bst bdstu atv tv b³d dsu dstu abdv abuv abdu abdstu adv ab² dv btv adstu ab³ dsv bstv tv au u dstu stv abds b²d ab²d dtu bstv bduv au dstu abdv bdv abdu abdstu abstv dtu adsu dstu astv stv ab³ bdstu tv adstv abuv b³d astv bstu bstu dst adstv au b²ds adstu abdtu abdtu abdtu buv bstv bstv adu uv asv auv btv abstu ab³ suv tv astu b³d bdst btv dtv adst b²d tv atv abuv bduv bdtu b²s auv ab²d adstv stu suv bduv b³d bdtu bds duv adtu u astu bdtv abdtu abdtu abdv av b²d u b²ds bduv uv abu bstu bstu b²d u tv stu bduv absuv abdtu abtv dtv abstv astu bs 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stv stu asx atv abstv bdtu btx abds abds bdst adx adt adt suv abdstuv abds abduw abstuv abstuv btu abdsx abstv adtuv abds bds adtw adtu dstuv ab²ds dt bdtu astuv abds bdtuw stv btu btu dt abdsx astuv abds bduw stx abw btu ab²ds ab²ds abdtw bdstuv atuvw adx tuv abstuv ab²ds atx astx bdstuv bds abdst abdtuw dsuv abtu duw dstv btuv abdt abdt btx tuv abtu adt adt btuv bdstuv abdt stv abdtuw b²ds adt dt atx abdstuv bdstuv abtx abdw abdstv abstuv ab²ds atx buw abt atu abdt stv tuv abdstu abdvw abdtx bdstuv adsx abds stv adstuv btu abdx atx abdtx su abdtu abdstw atuv bstuv btu bdx abt bdstuv bdtu bdt abtv abdstv dstvw bdsx dsv btuv atu adsx adx uw bdtuv bstuv tx bst abdstuv stuv t uw abdstv abstuv dtu tx dstuvw btuv stx x tuw abstuv adtu bstv abuw dtuv bdtu at abstu abdstv bstuv bs adstv btuw abdtu b²s abdstv abdstv btu abstuv abdstuw sx abstv astuv t ast abdtuv abdtuv stu bs dstv bdtu b²s absx astv bdstu bs abt abstw astuv astuv atu abtx abdtuv dtu dtu sx dtuv dtuv ab²s abx atuw bstuv abstuv bs suv dtuv b²s atu astv dtx abtu bdst x adstv adtuv dst tuw abdst abdst bstuv bs asx bstv v tuw abdstw adtv bdt abt bdtx b²d atu abdstvw absx abdst dstuv bstuv abstw aduw u abdstuv stw abtx bdst asv absw abstv adtuv astuv bx abduw abdtuv atuv bsw adstw dst dsv dst absx absx dstx abstuv adsuv tx dtuw stuv abtx dsx bdst atuv dstuv dt abstv dtuv bdstuv atu bdst adstuv bdtuv ab²ds ab²ds x atu abtx bdtw bx bstuv bsw ab² dst adtuw atu abdt astw bdtuv bdsv adtw x dst bdstuv abdtw adsx abtx tuv adv dtu sx dsv abtuv abdt bx dx abdx adtu dst bstv abtuv tu bsx bduw bstx ab²ds adtu abdsx abst adstu bdtu abduw tuv ab² dtuw dstw abtuv bdv bdtu bdstw stv b²s btu abdsx stx adstv tu abdtu auw bdsv b²s dstx dw b³ atu bdtu dx atuv atuv dtu dw dw abtuv atu tu ux bdsv bdstu aux abw abdtw dsv stuv btx bdstw adx dstvw dtu buw btuv bdtu dsx adsx tuv tuv bdtx dw abtuw bdtu astuv absx stv bdsv tuw buv adstv absv dsv bdtu bdtvw ast bdtuv dtu dstw bdtx dtuv bdtu b²d astw bdsv abdtuv adtu abdstuw btuw dtuv ab²s bdstw bx dtu adtu adstw btuw aux stuv abdstw abtx bdtuv dstx dstw adtuv tv bdtu btx absx bdtuv abtw abs dstx btuv b²d bdtu bdstv abdstu tuv adtu bstw bdx adtuv bsv adtx dtuw abdtuv b³d dstuv adstw ax bstv abtx absx adx dtu abds abstw asuw b²d abdx bdtu stw abdtuv asv abtu ux adtuv btuv bstu absx absx sv abtu ux abdx dst astuv w aw atuv tuv btu abstw dtuv dtuv stuv atu dsx auv adstx suw tx b²d btuv bdstuv asw abdtuv adsx dtu absw dst bsv stx bdtu bdst tuv btu astuw adst btuv tu tu bdw abdu atuv bstx dtw abtuv abux bstuvw stw sw asv abtu btu stuw adsvw tu atu astw abdtuv tuv btu dstw adu tuvw abds bsuw bx abdstu abtu abdstu aux ab³ dtuv stw astw atuv asv asuw at du bst adstu bstuw abdu tuv b²ds bdtx adu abtuv v astx dx bdstu atuv ab² atv bdx bstu stx adux bdu b² adtu btx btuv adsv dsv abdstx bdtu atuv ab² bstx bstw bdstuw bstu astx dsx abdw ab² t atx abdsuw adu btuv bdtu dsuw bdu abdsv adtu abux abst x bdtu aux aw ab² astu abux abdux abu abstu dtx btuw au u bdux tx dw adstu astuv astw st ab² bdsu adstx dstw bstv bstu dstuw btx u stu abstx abux bdsuw abstu dtuv bdstw adstuw ab² adtu adtu bu bu adtuv tu abdstx bdstw bdsv astu bu bu abstu bdx stx bx bx astu bdsuw bdstuw x astx abdtu asux abx stu btu abdsuw bu abdv bstu bdstx au bdtuv stu aux ux abu btuv bdstx dstuw au abdst adtu dstw bu adtuv adst sux bdux abux btu abdtw bu bu adtuv bdstx u au astu abdstuw adx dtuv stuv adstu asux au u asv abdstuw ux dtuv absv adtx bux abux atuv abdtx bu adtw adstu abdux absx bux atuv abdstu aux sux bu abdx astx abux bdtuv abdtuv adsx stuw abu dsv abdx astx stv abdtw abdstu bstx ux bdtuvw bstu absuvw abduw stu tuv abstx stuw ux abstu adstu astx abdsuv tuv dx uv adsux adu btuv bdx dtx bstuw tuv bdstu duw du bstu ab³ ax abdu stu bx dsx ab²s abdv adstu ab³ stx abdu abdu tuv asux abtuv adstu dstu bstuw buvw bdstu bx bstx dsux dtw btw x adtx bdu tuv bdstu bstx btuv btuv ab³ stx bt atuv bsuv bx bsuv du ax bux stx dt stu absx bdux adu av ax asx tuv bdu tuv abstx adu dstu btuv btw astw tuv stu dx v av dsux abstu bdtu dsuw adt adx bx bdux tx b³ abdv sx abdu stu bx bux aux adstu stx abdstx tuv abv stu stu absux adu dstu asx abtx adstuv stu absx du bdstuw bu x abux abux tuv stu abduv abdt v abdx absu btux adstuw astu bduv dtx v btuv bstu bt adsu atuv abds abdt abdux adtuv abstu ax adsu au astu bdsv dstx abu ax dsuvw abduvw dtux abs dstx bduv bdtux abu dsv bw bdx sw abdtuv bx dstx bsux dtuv aduv abdsx u u dx dx astuv bw bsw adstuw bdx abstuv adv auv dstx aux dtuv buv abdsx u u abdtuv bx abu astuw btuv astx x bs bdstu adx uv abdv adtuv abuv buv abdtuv b³d dx uv b²s adtuv abdx adstu abdsx u adx ab³d bdsu bdv adu abuv abuv adv adv uv dx abdv b²s dtw buv tx abstuw abdtuv bstx absx ab²s dtuv adstu btux abstuw bstuw tuv auv abstx absx aux abuv buv bs abdtuv auv buvw stuw btuv v abstuv adsu bv bdstu ab² stuw adu adstu abdsuv abdu abdu adx auv dtuw bduv absx dsu absu asuv abdu bstux abx bx adu v b³ dsu abdu tuv bdsu asu adu v dtux ax abdu abv ab² asu bduv adu sux stx abdsx dux abdsw bdtw 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bsu abdsv adtux dsux bsx su bsx atux bsu absu asx abdtw uv absx su bdux x absu asv dux aux asu su abds stux bsu bsu abw bdsx dux asu bsx av abvx avx absu bdsv bsux su asu abux adtw duv bsu bv dux bsux du dsx abdux tux absu dsu sx vw bsux astuv absx suv aduv adstvw adtux aux bsux asu abtx dsx tv absu b²ds bdtx stu bduv abdux dsx bduvw abuv dsu bdsx abdsx su tw abdux suv duv duv abdstx bdsx bduv abtux asu v suv ab²s dsu sx abdsx abst asu abdsu dsx sux dsu dsu bsuv bst avx su bdtvw bduvw absu aduv abstuv dux stv bstux abdsu absuvw bvx buv bdsx dsu adtux bdtw adtux bdsu duv aux dsu dsu bv bdvx abdsu v v abuv abduvw abuv bdsux adstux adsuv bdsu asuv asuv abuv dsu asx absuv adsuv dsuv bsv absv dvx abuv dsu sx atx bduv bdsu stw absx bdsux dsu bs sx uv dsx dsx abdsuv bdtux dw abdsux abstw asx auv dsux bsx abdsuv adstw dsu sux asx abdsu auv dvx bdv bdtux abuv sx asx adsuv bduv asvw absx bdx adsu abstw ax dtux dtux btux avx abtx au bdsux asx dv vx abdtw asu absx bdv bdsuv adsu abdsv avx dsuv 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tvx bsx buv u uvw bstw bduv bdsuvw bdx dsx abdsuv buv bx atx adsuv tvx dsux dsux buvw bdsuv duv astux astux dsuv bdsu tw stu abdsuv bdtuv adstx absu dsuv asuvw dtux abdx tv buv adsuvw absu bstu abdstx uv bdtw bsx abdsuv abdtv absu bstu dsuv stv du abtx absx adsuvw dsvx abx astux bstu avx adsuw bsx bdsuv dsvx adx bstu sux adu abduv tw bsux suv adx abdtux abstu adsuv x bdw asu bdv abdu absu abstu btv dsuv b²ds abdsvw stu bdst suv bsu adstw adu bsuv asu bsux suv suv adx dvx adsuv dtv bsuv btux abtvx bdst abdsux abdtu dvx absuv bsuv su bdstw bdst suv absu abx adu bsuv du adstux svx bsuvw asuv abvx tvx dtv asuvw astx abdstu duv aduv dtvx bdstux abdstx asx astx x bdtvx asuv abdu adtw dstw bsuv absuv astx adsx bdu abdu st bvw adstu absuv asu btuvw bdstw bdu bstx adx dstu bsuv bduv x bdsu abdtv asuv st bdstux absuv bst svx adstux adtvx abdstu ast abvx absuv du absuv dsux abdstw duv suv dtvx dstu absuv abu bu abdx avx bdu adstx dx bdstux abdsuvw adsuv stx svx asuv au u bdstux dw dst bsw bdsu asuv suv buv btvx adtvx bu bv adsuv abdstu bstv abtx adstx dx stv adsuv bu adsux bdstu au u bx stux bsuv bu abdx abdstx bdsuv stw u bx bstvx tvx auv avx tuv abstx bdsuv bstx bdtvx abu bu abdstx abdx stu v bstx bx bstu dsuv abuvw bdx bstux atv u abx sx bu abu bdvx svx abdsuv bsuvw dstx dx abstvx du adux abdstx astw abuv bdtuv abx stux bu du atvx stvx stu bdtv uvw adsvx bdstv bu adstvw vx stu stu adsuvw astux abstw bstu adu adu bdtuv atv abdu bx atux dsuv abdstv abdsuvw ax asw abdsuv sw dvx bdstux bstu adsuv abdstx x abdtuv bdst adx tux adsvx adsuv bdvx bdtvx ax abdtv bdu bx bx adtv adu stx x bdtv bdsuv bdu abx stv dtv x svx bdstvx abdsuv duv bx bsvx absuv adtw aduvw x bdstu uvw aux dvx dtw bduv x ax asvx adstx abstx bstx bdtvx avx adsw stx buw bdstu asuv asuv abx bdstv absuv absuv abdx svx abdstvx bdu adx bdstux adstu abu stx bdstu dstv absv bstx auvx astv du asuvw ax tv abdstu dtvx uvx absvx adstu bstvw bdvx bdvx bstux atvw bx abstuvw bduv abtv stx abdx abdstu suv astvx duvx bdstux dtv 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Monoid Structure