Details Page for 0.1745

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   66
P-Portion Size:   2
Tame?   Yes

MSV File: q-0.1745.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
9102
15182
52342
2428662

(Click on a heap to see details)

Details for Q2428(0.1745):

Q = <a,b,c,d,e,f | a2=1, b3=b, b2c=c, c2=b2, b2d=d, d2=b2, b2e=e, e2=b2, b2f=f, f2=b2>

P = {a, b2}

Phi = 1 a a 1 b a ab b b c c ac bc c abc d b b ab ab2 ab2 abd abd d abc c c ac abc c abd ab2 ab2 b b ab2 d d abd c c ac bc c abc ab2 ab2 b b ab2 abd abd e d abc c c abc abc abe b ab2 ab2 b b ab2 d abc abc c c ac abd c d ab2 ab2 b b ab2 abd c c ac abc c bc abc abc abd b ab2 ab2 b b d abc abc bc c c ac abd c b ab2 ab2 b b ab2 abd c c ac abc c d d abd ab2 ab2 b b ab2 e d c c bc abc abc abd abd d b ab2 ab2 b b e abc c c ac abc c d d abd ab2 ab2 b abd ab2 e c c ac bc c abc abd ab2 ab2 b b d d b e abc c c abc abc d b b d ab2 ab2 abd abd ab2 abc c c ac abc c abd ab2 ab2 d b ab2 d d e c c ac bc c abc d b b d ab2 ab2 abd abd e abc c c ac abc c abd ab2 ab2 b b ab2 d d e c c ac abc c ace ab2 ab2 b b ab2 abd abd e c c abc bc d abc ace b ab2 ab2 b b ab2 d abc abc c c ac abd c d ab2 ab2 b b ab2 abd c c ac abc c bc abc abc ab2 ab2 b b ab2 e d abc abc bc c c abd abd d b ab2 ab2 b b ab2 abd c c abc abc c d d abd ab2 ab2 b b ab2 e d c c bc abc abc abd abd d b ab2 ab2 b b e abc c c ac abc c d d b ab2 ab2 b abd ab2 e c c ac abc c abd abd ab2 ab2 b b d d b e abc c c abc abc d b b d ab2 ab2 abd abd ab2 abc c c abc abc c abd ab2 ab2 d b ab2 d d e c c abc bc c abc d ab2 ab2 b b ab2 abd abd d abc c c abc abc ace abd ab2 ab2 b b ab2 d d abd c c abc abc c ace ab2 ab2 b b ab2 abd abd e c c abc bc d abc ace b ab2 ab2 b b ab2 d abc abc c c abd abd c d ab2 ab2 b b ab2 abd c c d abc c d abc abc ab2 ab2 b b ab2 e d abc abc bc c c abd abd d b ab2 ab2 b b ab2 abd c c abc abc c d d abd ab2 ab2 b b ab2 e d c c bc abc abc abd abd d b ab2 ab2 b b e abc c c ac abc c d d b ab2 ab2 b abd ab2 e c c abc abc c abd abd ab2 ab2 b b d d b e abc c c abc abc d b b d ab2 ab2 abd abd ab2 abc c c abc abc c abd ab2 ab2 d b ab2 d d e c c abc abc c ce d ab2 ab2 b b ab2 abd abd d abc c c abc abc ace abd ab2 ab2 b b ab2 d d abd c c abc abc c ace ab2 ab2 b b ab2 abd abd e c c abc bc d abc ace b ab2 ab2 b b ab2 d abc abc d abd c c abd ace ab2 ab2 b b ab2 e c c abd abc c d abc abc ab2 ab2 b b ab2 e e abc abc bc c c d d abd b ab2 ab2 b b ab2 d c c abc abc c abd abd d ab2 ab2 b b ab2 e abd c c bc abc abc d d abd b ab2 ab2 b b e abc abc bc c c abd abd ace b ab2 ab2 b d ab2 e abd abc abc c c abc d ab2 ab2 b b abd abd b d abc abc bc c abc abd b b d ab2 ab2 d d ab2 abc abc bc ace c c d ab2 ab2 d b ab2 abd abd e c c abc abc c bce abd b ab2 ab2 b b d d e abc abc bc c c ace b ab2 ab2 b b ab2 abd abd d d abc abc c c bce ab2 ab2 b b ab2 d d c c abc abc bc abd abc ce b b d ab2 ab2 abd abd abc abc abd d c c ace ace bce b b ab2 ab2 d c c d abc c abd abc abc ab2 ab2 b b ab2 abd abd abc abc d c c d ace ace b ab2 ab2 b b ab2 d abc abc d abd abd ace bce bce ab2 ab2 b b ab2 abd c c abc bc c abc d ce ce b ab2 ab2 b b d abc abc d c c abd abd b b ab2 ab2 b d ab2 abd abd abc abc c c d d ab2 ab2 b b abd abd b d abc abc d c abc abd b b bce ab2 ab2 d d e abc abc abd abd abc bce d ab2 ab2 d b ab2 abd abd e c abc abc d c abc abd ab2 ab2 b b d d e e abc abc abd abd c ace b ab2 ab2 b b ab2 abd abd d c abc abc d c ace abd b b ab2 ab2 b d c c abc abc c abd abc ace b b d ab2 ab2 abd abd abc abc abd d d c c ace b b abd ab2 ab2 d c c d abc abc abd abd ace ab2 ab2 b b ab2 e abd abc c abd abc abc d d ace b b abd abd ab2 ab2 d abc abc d ace abd abd ace ace ab2 b b d ab2 e c c abc abc c d d ce ce ab2 ab2 b b e d abc abc d d abc abd abd b b ab2 ab2 b d ab2 abd abd abc abc abd ace d d ab2 ab2 b b abd abd b d abc abc d d abc abd b b bce ade b d d e abc abc abd abd abc ace d ab2 ab2 b b e abd abd d c abc abc d c ace ab2 ab2 b b ab2 d d e abd abc abc abd abd abc ace b ab2 ab2 b b ab2 abd abc abc d d abc ace c abd abd b b ab2 ab2 d d c c abc abc c abd abc d b b d ab2 ab2 abd abd abc abc ade d d c c abd b b abd ab2 ab2 d c c ade abc abc abd abd ace ab2 b b d ab2 b abd abc abc abd abd abc d d ace b b ade abd ab2 ab2 d abc abc d d abd abd ace ace ab2 b b d ab2 e c c abc abc c d d ab2 ab2 b b ab2 abd b d abc abc d d abc abd abd b b ab2 ab2 b d ab2 abd abd abc abc abd ace d d ab2 ace b b abd abd b d abc abc d d abc abd b b bce ade b d d e abc abc abd abd abc ace d ab2 ab2 b b e abd abd d c abc abc d c ace abd ab2 ab2 b b d d e abd abc abc abd abd abc ace d ab2 ab2 b b ab2 abd abc abc d d abc ace c abd abd b b ab2 ab2 d d c c abc abc c abd abc ab2 ab2 d d ab2 b abd abd abc abc ade d d ace ace b ab2 ab2 b b ab2 d c c d abc abc abd abd ace ace b d d ab2 b abd c c abc abc d d ace ace b b abd abd ab2 e abc c c abc abc abd abd ace d b b d d ab2 abd c c abc abc c d d ace abd abd ade abe b b d abc abc bde ace abc abd abd b b ab2 ab2 b d ab2 abd abc abc abd abd c d d ab2 ace b b abd abd e c c abc abc c ace abd ab2 ab2 b b abe d d e abc abc abd abd abc ace d ab2 ab2 b ade abd abd e d d abc abc d c ace ab2 ab2 bce b b d d e abd abc abc abd abd abc d b ab2 ab2 b b ab2 abd abc abc d d abc ace c abd abd b b ab2 ab2 d d c c abc abc c abd abc d b b d ab2 b abd abd abc abc ade d d ace ace b abd abd ade ab2 ab2 d c c abc abc abd abd ace ace ab2 b b d e b c c abc abc abd d d ace abd b ade ade ab2 b e abc abc bc ace abc d d abd b b ade e ab2 ab2 e c c abc abc c d d abd abd b b abe e e abe abc abc abd abd abc d d b ace ab2 ab2 e e ab2 abc abc d d abc abd d ace ab2 abd b b e e abe c c abc abc c d d b b d ade abe e e abe abc c bc abc abc d b ab2 ab2 b ade e e d d abe abc abc c c abd ace b b d d e e abd abd abc abc bce d abc ace b b abd ab2 ab2 e e abc abc d ade abc abd c ace b b d d e abd abd c c abc abc d d bce bce ace ade abd abd e d abc abc d d abc abd abd ace b ab2 ab2 b b ab2 abd c c abc abc ace d d ace ab2 b b abd abd b c c abc bc d abc abd abd ace b b ade d b e abc c c abc abc c d b b d d b abd ab2 e c c abc abc d bce abd abd d bce abd abe b b e abc abc bce bce abc abd d b abd d d e ab2 ab2 abc abc ade ace abc d d ab2 ab2 d b b e e abe c c abc abc c d d b b d ade abe e e abe abc abc d d c c b ab2 ab2 b e d d e abe d abc abc c c ace ace b b d d abd abd d e c c abc abc ace ace b b d d b abd d abc abc e ade abc c c ace ace b b d d abd abd c c abc abc bce ace ace bce b abd d d abd abd abc abc ade ade abc ace ace bce b b d d ab2 ab2 d c abc abc ade ace ace bce d d b b d ab2 b c c abc abc c d d ace abd b b abd abd b d abc c c abc abc c abd b b d d b ab2 ab2 abd abd abc abc ade ace d d ab2 abd abd bde abe b b d abc abc bce abd abc ace abd b b d d e ab2 ab2 abd c abc abc d d ace ace ab2 abd b b e e abe c c abc abc c abd abd b b d d b e e abd abc abc ade d c c b b abd abd b e e abe d d abc abc c c abd abd b b d d b e c abd abc abc c d abc ace b b abd abd abe e e abc abc d ade abc c c abd ab2 ab2 b b d d e c c abc abc abd ace d d b b d e b abd abc abc ade bce abc d d abd b b abd abd ab2 ab2 d c abc abc ade abd abd ace d d b b d ab2 e c c abc abc c d d ace abd b b abd abd b d abc abc c c abc abd abd b b d d ab2 ab2 e abd abd abc abc ace ace d d ab2 abd b b abd abd b d abc abc bce c c abd abd b b d d e e abe abd abd ade ace abc bce d ab2 ab2 b b abd abd e e d abc abc d c abd abd b b ade abe b d e abd abd bce c c abc d d ab2 ab2 b b abd abd e d d ade c c ace abd abd b b d d b e e abd abc c c ace abc d b b abd abd b e abd abc abc d ade abc c c abd b b d d e e d abd abd abc abc bce ace ace d b b abd abd b e abc abc d d abc ace ce ce abd abd abe d d e e d ade abd abc ace ace bce bce d b b ab2 ab2 abd c c abc abc c d d ace ace b b abd abd b d abc c d abc abc abd abd b b ade d b ab2 ab2 abd abd bde ade abc abc d d ab2 ace b b abd abd b d abc abc d d abc abd abd ace f b abe d d e abd abc abc abd abd ace d ab2 ab2 b b e abd abd e d abc abc d c abc abd b b ade ade b d d abd abd bde bce abc abc ace b ab2 ab2 b b ab2 abd abd d d abd ace c c ace ab2 b b ade e b d d abd abd d bce abc abc ace b b ade e b d d abc abc d abd ace c bce ace b b d abe e abd c abe abd abd d d abc ace ace b b abd e b d abc abc d d abd abd ace ace ade ade abe d b e abd abd f ade abd d d ace ace bde bde e b abe e d abc abc d d abc abd abd ace ade ade b b d e abc abc abd abd ace ace d b b d ade e abd abd e abe f d d ace ace abd ab2 ace b b d d b e abc abc abd abd ace ace b b d d b abd abd e e abc abc d d ace abd abd ace ade b b d d e abe abc abc abd abd abc d b b d d b abd abd e e ade bce abc abc ace b ab2 ab2 abd abd e d d e ade abc abc abd c ace ab2 d b b d abd abd e e ade ade abc abc ace ace b b abd abd b d abc abc d d ade ace c c b b f d b e d d abd abd ade ace ace bce bce d b ab2 ab2 b b abd abc abc d d bce ace ace bce abd abd abe d d ab2 e d ade abd abd ace ace bce bce d d b b abd abd abe abc abc d d abc ace ace bce b b abe d b e abc abc ade abd abd ace ace d d bde abe e ab2 ab2 abd ade d d bce ace d ab2 abd abd ade ade abe b b d abc abc abd abd ace ace b b d d abe e e abd abc abc ade d abc ace d ab2 abd abd b b e e d d ade ade abc abc abd abd ab2 ab2 b b d d e abd abc abc abd c abc d d ace ade ade abd abd e e d d abc abc c c abd abd b ade ade d d e e abd abc abc abd ace abc d b ade ade e abd abd abc abc d d ade ace c c b b bde bde b d d e abd d abc abc abd ace ace ab2 ab2 b b ab2 abd abd abc abc d d bce ace ace bce bce ade abe ab2 ab2 d d abd abd d abc abd ace ace bce ade ade b b ab2 abd abd d d abc abc d ace ace bce bce ade abe b b d abc abc d d abd abd ace b b ade abe d ab2 ab2 abd abd f ade abd d d ab2 ab2 bde b b abd e b d abc f d d abd abd b b bce ade b d e e abc abc abd abd abc d d ab2 b b ade e abd abe d d f ace abc bce abd abd b b ade ade b d e abd abc abc abd abd abc d d ace ade ade abe abd abd e abc abc d d c c abd abd ade ade e e d c e abd abd ade bce abc abc d d bde bde e abd abd abc abc d d abc ace c abd abd b b d d e e abe c abd abc abc ace ace d d ade ade b ab2 abd abd abe abc d d bce ace ace abd b b abe d ab2 e d ade abd abd abc abc ace ace d d ade ade b ab2 abd abd abc d d bce bce d ace abd abd ade abe b b d d e abd abd ace ace abd bce d d ade e ab2 ab2 abd abd f abc abc d d ace ace abd b ab2 abd b b d abc ade ade ace abd abd b b d d abe e e abd abc abc ade ace abc d d b b abd abd b e e d d ade ace abc abc abd abd b b d d b e e abd abc ade bce d abc ace d f abd abd abe e e abe abc abc ade ace abd c ace abd d b b d e e abe abd abc abc bce d abc ace b abd abd e e abe abc abc d ade abc ace abd abd b b d d b e e c c abd abc c d d ace ace b b abd ab2 e e abc abc d d abc abd abd ace bce abd ade b b e e abc abc abd abd abc d d ace ace d ade b abd e e abe f d d ace abd abd bce ade abd abe b b e e f ade abd abd ace d b b d d e abd ab2 e e ade abc abc d ace abd abd ace b b e d b e abc abc ade abd abc d d b b d abe e abd abe e ade ade abc abc d abd abd ace f b b e d abe e abc abc abd c ace d b bce d d abe e abd abe ade ade bce d d ace abd abd f ade b e d d abc abc bde ace abd c ace b b d d e e abd abd e abc abc d d ace ace b abd abd ade e d abc e d bde bce abd abd ace b b d d b e abd abd c ade abc abc d d ace ace b b abd ab2 e d abc abc d d abd abd ace ace b b ade d b e abd abc abc abd abd d d ace ace ade ade e abd abe e c d d abc abc abd abd ace ace ade ade abe b b abd abc abc abd abd ace d d b ade ade bde ab2 ab2 e d c c abc abc abd abd ab2 ace ace ade e d b e abd abc abc abd abd abc d b b ade ade abe abd abd e abc abc d d ace ace abd ab2 ace abd ade e d d e e abc abc abd c ace d b ade d d abd abd e e abe ade bce c ace ace abd abd bde ade abd d d e e f abc abc c c ace d d abd abd d e abd abe e abc abc bce ace ace bce b abd d d abd e abc abe abe ade bce ace ace bce abd b b d d e e abe c ade abc abc ace d d abd b b abd abd e e abe ade ade bde bce abd abd ace d d b b d e e abd ade ade bde ace d d ace b b abd abd ab2 e d d ade abc abc ace abd abd ace b b d d b e abc abc abd abd ace d d ace ade b b abd ab2 ab2 e c abc abc d ace abd abd ace ade abd e d d e e abc abc abd abd abc d b b d d abe abd abd e abc abc ade d abc ace abd b b abd abd e d d e e abc c c abc ace d b b d d b abd abd abe abc abc bce d abc ace b abd abd ade e d abc abc d bde abc c c ace ace bce d d abe e d abd abd e ade ade abc abc d ace b abd abd e e abd abc abc d ade c ace ace abd abd ace d d e e d abe abd abd abc abc ace ace d d b b abd abd b e abe d abc abc bce ace ace abd abd ade b b ab2 ab2 d e abd abd abc ace abd bce d d ade e e ab2 abd abd abe d abc abc d d ace abd b b abe e b d abc ade abd abd ace ace b bce d d ade ab2 ab2 e abd abd abc d d ace ace d bce abd b b e e b d d ade abc abc abd abd b b d d b e e abe abc abc ade d abc ace d d ace abd b e e abe abe d d ace abc abc abd abd b b d d abe e e abe abd abd bce d d ace b b ade abd abd e e abe d d ade ace c c abd abd bce bde d d e e abe abd abd bce bce abc abc d b b abd abd e e abc abc d d abc ace abd abd ace ade ade d d e e abe abd abd ade ace d d ace ace b bde abd abd e e d d ade bde c abd abd ace b b d d b e abd abc abc abd ace c d d ace f b abd abd ab2 e d d ade ade abc abc abd abd ace b b d d b e abd abd ade ace ace d d ace bce abd abd e e ab2 abe abc abc ade bce ace abd abd ace f d d e e abe abd abd ade ace d d ace b b abd abd b e e abe abc abc ade ace abd abd ace ace abd d d e e abe abe ade abd ace ace abc abc d b b abd abd b e abd abe abc d bce ace ace bce b b abd d b e abc abc abe ade abd ace ace bce abd d d ade abd e e c abd e bde d ace abc abc d abd b b d e e abc abc ade ade abd d ace ace abd d f ade abd e e abe abd bde bde d abd ace ace d abd f e ab2 abe e ade d acf ade abd d ace abd b b abe e b abe abc abc abd abd d d abd ace d ade b e e ab2 abe e bde d d abd abd d ace abd b b abe e b c abc abc abd abd d d b b d ade b e e abe abe bde d d bce abd d ace abd abd bde e e b abe e ade abd abd ace d d b bce d ade abe e e abe abe bde d d ace abd d ace abd abd bde e e abe abe ade ade abd abd abc abc d d f b b e e abe abe abc abc d d abc abd b b abd abd b d abc abc abe ade ade abd abd c d d b b d e abd abd e e abc abc d d abc abd b ade abd abd b d d abe abe ade bce abd abd ace b b d d abe e abd abd ade ade bde ace d d ace abd b b abd abd b d abc ade ade bde abc abd abd ace b b d d b e abc abd abd ade ade ace d d ace ace abd abd ab2 ab2 e d d ade ade ace abd abd ace ace f d d b b e abd abd ace ace d d b b bce abd b e e abe d d ade bce bce abd abd ace ace bde d d b b abd abd abc abc ace d abc ace ace b abd abd abe e e d abc abc ade ace abd abd ace ace d d abe e e abd abd ade ade ace d d ace ace abd abd ade e e abe d d bde bde abd abd ace ace b b d d b e abd abd abe ade bce d d c ace ace abd abd b e d d e e ade ace abc abc ace ace b b d d e abd abc abe abd abd bce d d ace bce ade ade b b e d d bde f d ace abd abd ace ace b b d d b abd abd ade ade abd abc d d ace b b abe abd abd e d d abc abc d ace b b ace ace b e d ab2 e d d abd abc ace ace bce bce ace b b e abd b d abc abc d d ace ace b b bce ade b d d e abc abc abd abd bce ace d d ace ace ade e abd abd e d d f ade abc abc abd abd b bde bde d d e e abd abd bce ace ace bce d d ade abd abd e e abd abe d d ace ace c bce abd abd ade d d e e d abe abd abd ace ace bce bce b b ade abd abd ab2 abc abc abe d d ace ace c bce abd abd ade b d d e e abf abd abd bce abc abc d d ade e abd abd e e abe f d d ace c abd b b abd abe b d d e ade ade abd abd ace ace d d b e e abd abd e abc ade ade d d ace ace abd b b abd e d d e ade ade bde abd abd ace d d f b d ab2 ab2 abd e ade ade bde d d ab2 abd abd b b abd e b d abe ade ace ace abd abd b d d f f d e abd abd ade ade bde ace d d ab2 abd abd b b abd e d d ade ade ace ace abd abd bce b b d d e e abd abd ade bce ace ace d d ace abd abd ade e abd abe d d bde ace ace c abd abd b b d d e e abe abd abd ade bce ace ace d d bde b b abd abd abc abc d d bde ace ace c abd abd ade d b e d c e abd abd ade bce abc abc d b bde abd abd e e abc abc d d bce ace ace abd b b ade d b e d bde abd abd ace ace bce bce d d bde e abd abd e e abe abc d d bce ace ace abd abd ade abe d d e abc abc abd abd ace ace b b d d b e abd ab2 e abd abc d d ace ace bce bce abd b b d d e e abc ade abd abd ace ace b b d d b abd abd e e abd ade d d ace ace bce f abd abd e d d e abe d ade abd abd ace ace bce bce d d abe abd abd e abc abd bce d d ace ace ade ade abd abd e d d e f d ace abd c ace ace b ade d d e abd abd e f abd ace d d ace ace ade b b abd e d d abe ade d ace abd abd ace bde b b d d e abd abd f bde abd ace d abc ace b b bde abd b e d d ade ade d ace abd abd b b f ade b d e abd 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e e abd ace abc abc ace ace bce bde abd abd abe b abc abc d d bde abd c c abd b b d d e e abe c abd abc abc d d ace ace d bde abd b b e e abe abc d bce abd abd ace ace abd ade d d e e abc abc abd abd ace d d ace ace d e abd ab2 e e abc ade d d ace abd abd ace bce abd abe d b e abe ade ade abd abd ace d d ace ace b e abd abd e e ade ade d d ace abd abd ace f abd e b b e ade ade bde abd abd ace b d d ade abe e abd ab2 abc bde bde ade d c abd abd ace ace abd e e d abe abe abc abc abd abd ace d d bce f d abe abd abd e abc ade bce d abc ace abd abd bde ade abd e d d e e bde ace abd abd ace d d ade bde d e abd abd e f abc abc d d ace b b abd abd b e d abc abc d bde ace abd c b b ade d d e e abd abd bde ade ace d d ace ace b b abd abd b d d e ade d bce abd abd ace b f ade d d e abd abc bde abd abd ace d d ace ace b e abd ab2 e d d ade ade d ace ab2 abd ace bce f b b d d abd abc abc abd abd ace ace d bce ace ade e ab2 ab2 abd d abc abc d d ace ace abd ade ade e e b b d abc abd abd d ace ace 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abc abc ade abd abd ace d d ace ace b e abd ab2 e e abc ade d d bce abd abd ace b abd abe d d e abc abc e abd abd ace b b d d ade e abd ab2 e abd bde bde d d ace ace ade abd b e e d b e d ade abc abc abd ace b b d d abe e abd abd abc ade ade d d ace ace f f abd abd e e d d e ade ade abd abd ace ace d d b e e abd abd e abe ade bce d abc ace b abd abd ade ade e d d e abc abd abd ace ace bce d b b ade e abd abd e e f d d abc abc ace b abd abd e d d abc abc d ade abd abd ace ace bce bde d d e abd abd e e abd abc abc d ace abc bce b b abd abd b d abc abe d ade bce abd abd ace b bde d d e e abc abd abd bde bde ace d d ace ace b abd abd ab2 e d d bde ade ade abd abd ace ace b b d d b e abc abd abd ade ace d b b d f abd abd e ab2 abe e d d ade ace abd abd ace f f d d b b e abc abc abd bce abc d b b d d abd abd e e abc ade ade d ace ace abd abd ace f abd d d e e abe ade ace abd bce ace ab2 b b d d abd abd e e abd ade bce d ace ace b b abd abd b d d e e abc abc ace abd bce ace ace ade d d e abd 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abe abe ade ade abc ace ace abd abc d b b d d b e abc ade ade bde bce d d ace b d abd abd e e abe abe ade d bde ace abd abd ace ace abd d d ab2 e e abe ade abd bde bce d d ace f d abd abd b e abc abc ade d ace ace abd abd bce f abd b b ab2 e e abc abc abd abd ace d d ade ade d e abd b e abc abc bce d d ace abd abd ade ade abd e d ab2 e e f ace abc abd ace d abc ade d d e abd abd e abc abc ace d abc ace abd abd ade e abd abe d d abc abc ade ace abc abd b d d bde ade d e abd abd f abc abc ace c d ace abd abd abe e abd abe d d abc abc bce ace abc abd b d d e e d abe abd abd ade ade ace c c d ace abd abd e e abd abe d d ade ace ace bce abc abd f d d e e d abe abd abd ade bce ace ace d d f abd abd e e abd ade d d ade ace ace bce abd abd b d d e e d abe abd abc abc bce ace ace d d ade b b abd abd abc abc d d ace ace bce bce abd abd ade d d ab2 e d f abd abd ace ace bce bce d d e abd abd b e abd ade d d ace ace b b abd abd ade d d e e d bde abd abd ace ace bce ade d d e abd abd e e abd ade d abc abc ace bce bde abd abd e d b e d d bde abd abd ace ace ade ade d d e abd abd e abc abc ace d c ace ace bde bde abd abd e d d e abc abc bce abd abc ace b d d e e abd abd e bde bde ade ace d c ace abd abd bde e abd d d abe ade abc abc ace abd abc ace b d d e e abd abd bde bde f bce ace d bce abd abd bde e abd abe d d ade ade bde ace abd abd abc d d e e d abe abd abd bde abc abc bce d d ace b abd abd e b abe abc abc d ade ace c abd abd bce bde d d e ab2 abe abd abd bde bde d d abc abc ade ade abd abd e b abe d d ade ace abd abd ace ace bde d d e ab2 abd abd e f ace ace c d ace ade ade abd abd e b d d f ade ace abd abd ace bce d d abe abe e b abd abd ade bce ace d d b ace abd abd b e e d d ade ade abd abd ace ace bce f d d e e abe abd abd ade ade d d abc ace b abd abd e e d d e ade ade bde abd abd c ace ace d d b b abd abd abe ade ade abc abc d ace abd b b abd abd b d d ade ade bde abc abc abd ace d d ade e d abe abd abd bde bde ace ace d d abc abd abd e e abd abe d d ade ade bce bce 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ade ade abc abc abd d d ace f b b e ab2 b ade ade ace abc d d abd abd d b b e e b ade ade bde bde abc abc d d b abd d abe e e abe ade ade bde ace c c d d ab2 abd b b e e b ade ade ace abd c abc d b b d ab2 ab2 e e ade ade bde d abc abc d d ab2 ab2 b b ab2 e e d d ade abd d c abc abd ab2 e e abe abe e d abd abd ace d abc abc ace d b abe abe e e abe abd d d ace c c ace ace abd b b d d b e d abd abd ace ace abc abc ade d bde abe b b abd abd ade d d bce ace d bde ace abd ade ab2 ab2 e d d bde abd c c abd abd bce d b b e ab2 b abd abd ade d d ace ace d bde b abd abe ab2 b e d d abc c abd abc ace abd ade d d ab2 ab2 b b abd abd abc abc d d ace bce ade b b abd e b f abc abc d d abc abd abd ade ade bde abe d b ab2 abd abd ade abc abc c d d bde bde b ab2 ab2 b b d d ace ace c abc abd abd b d ab2 ab2 d d ab2 abd abd c c abc ace d d ade abd abd ab2 b abd bde d abc abc ace c abc abd abd bde b b d d ade ade abd abd ace abc abc ace d b abe abd abd e e abd bde d abc abc ace c ade abd b b d d b e d 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d e abd abd abc abc abd ace d d ace ade e e b b e d d ade ace abc bce abd abd b b abe abe d d e abc abc abd abd ace ace d d ade ade b abd abd e e d d ace ace bce bce abd abd ade e e d d e abe abd abd bce abc abc d b b ade abd b e abd abe e d d ace ace bce b abd abd ade d ab2 e d d f abd abd ace ace bce bce b b ade abd b e abd abd f d d ace ace bce b abd abd abe d d e e d ade abd abd ace ace bce bce b b e abd b e abd abd ade d d ace ace bce f abd abd ab2 b d abc abc d bce abd abd ace ace ade ade d d b abd abd e f abd ace d d ace ace bce ade abd ab2 b b d d f ade bce abd abd ace ace b bde d d e abd abc abc abd abd abc d d ace ade ade e abd b e d d abc abc d c abc abd b ade ade abe ab2 d d abd abd f bce abd ace ace d ade ade bde e abd abd e d d abc abc d ace ace abd bce ade e e d d e abd abd f bce abd abc d b b ade abe b abd abd e d d bce ace d c abd abd ade ade e e d d e abd abd ace ace abd bce d d ade ade e e abd abc abc d d bce ace d c abd abd abe b b e d d ade abd abd ace ace abd bce d d e e b b abd abd ade d d ace ace d bce abd abd abe b b e abc abc ade abd abc ace abd abd ace d d e e ab2 abe abd abd ade d d ace ace d bce abd abd abe b b e d d ade abd abd ace b b f d d e e abe abc abc abd bce abc d d ace ace ade abd abd e e d d bde ace ace abc abc abd b b bde d ab2 e d abd abd ade bce ace ace bce d ace bde abd abd ab2 e abd d d bde ace c c ace abd ade ade d d b e d abd abd ade bce c abc ace d bde bde abd abd e e abd d d bce ace c bce ace abd ade ade d d e e d abd abd ace ace abc abc bce d e e abd abd e abc abc d d bce ace ace bce b abd abe d b e d d ade abd abd ace abc bce ace d d e b b abd abd abe ade d d ace ace bce bce abd abd abe d d e e d ade abd abd ace ace bce f d d e abd ab2 e abd abd ade abc abc ace ace bce bce abd abd e b b d abc abc ade abd abc ace abd f f d d e e abe abc abc abd ace d d ace ace d ade abd abd e e abe abe d d ace abd abd ace b b ade d d e e abe abc abc abd ace abc d d ace ade ade abd abd e e d abc abc d ace c abd abd ade ade e d d e e 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d ace b b abd abd e e abe bde d d abc abd abd ace ace abd bde d d e e abe abc abd abd ace d d ace bce d ade abd b b e abc abc d d abc abd b b abd abd ab2 ab2 d e e ade ade abd abc c d d ace f d e abd b b e abc abc d d abc abd b b abd abd abe d d e abc abc ade abd abd ace d d ace bde d e abd abd e e ade bde abc abc ace abd abd f ade abd abe d d e abe bde bce abc abc ace b b d d abd ab2 e abd abd ade abc ace ace c bce ace abd abd ade d d e e d bde ace abd abc abc ace b d d bde abd abd abc e abd ade d c c ace ace bde abd abd e ab2 d c e d bde abd abd abc ace bce b d d e abd abd e bde abd ade d d ace ace f bde abd abd e ab2 d d ade bde abc abd abd ace ace f b d d ab2 b abd abd bde ade ace d d ace ace abd b b abd e d abc ade ade ace ace abd b b f d d e e ab2 abd abd ade ade ace ace d d ace abd abd e e b b d abc ade ade abd abc ace abd bce d d abe e e abe abc abc ade d d ace ace d abd abd ade e e abe abe d bde bce abd abc abc abd abd d d abe e e abe abe abc ade bce d d ace b b abd abd e e 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abe ade d d ace abd abd ace bde abd b b d e e ade bde abd abd ace d b b d d abe abd abd ab2 e e ade d d ace b abd abd bde ade e d d b e f abc abd abd ace d b b d d e abd abd e abc abc ade d abc ace b b abd abd e e d d e ade ade ace abd abd ace d b f d d abe abd abd e abc abc bce d abc ace b abd abd ade e e d d e bde bde ace abd abd ace d d f e d abe b abd ade ade ace ace d d ace b abd abd e e abe d d abc abc bce ace abd abd b b d d e e abe abd abd ade abc d d ace ace bde b abd abd e e abe d abc abc bde abd abd ace ace b b d d b abd abc abc abd abd abc d d ace ace bde e abd abd ab2 d d ade bde d ace abd abd ace f b b d d b abd abc bde abd abd ace d b b f bde abe abd abd ab2 d d ade bde d ace abd abd ace f ade e d d b abd abc abc abd abd ace d d ace b e e abd abd e d d ade ade d ace abd abd bce bde e e d d e abd abc bde abd abd ace d b ade ade e e abd abd e d d bce ace abc bce abd abd bde bde e e abc abc e abd abd ace ace abd bce d d ade ade e e abd abd e d d ace ace abc bce abd abd ade 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d b e e abe b abd abc d d ace ace d b ade abd bde abe e e d d e abd abd ace ace abd bce d d b e e abe abd abd abe d abc ace d d ace abd abd abe b e e d d e abd abd abc ace abd ade d d b e abc abc abd abd ade d d ace ace d bce abd abd e e abe abe d d ade abd abd abc ace abd f d b b e e abe abd abd ade d d ace ace d f abd b e e abe ade d abc ace abd abd abc ace abd ade d d e e abe abe abc abd bce d d ace ace d b b abd e abc abc ade d d ace abd abd ace bde abd ade d ab2 e e f bde abd abd b ab2 d d ade bde abe abd b e abc abc ade d d ab2 abd abd b bde abd e d d e e f bde abd abd b d d ade b d e abd abd e abc f ade d d ace b b abd abd b e d ab2 e d ade ade abc abd ace ace f d d e e abd abd e abc abc d d ace ace b b abd abd e e d d e ade ade abd abd ace b b d d e e abd abd abe ade ade ace d c ace bce abd abd abe e e d d ade ade bde abd abd abc ace d d ade e e abd abd e bde bde d d ace ace b abd abd e e abe d d abe ade abc abd abd ace ace d d f abe e abd abd e e ade d b ace ace bce abd abd ade e b d abc abc abe abd abd ab2 ace ace d d ade ade abd ab2 e abd f f d d b ace ace abd abd ade abe d d e e f abd abd ace ab2 bce ace d d e e abd abd e abe ade d d ace b abd abd bde ade ade d d e e abc abc abd abd ace ace b d d ade abe abd abd e abc f d d abc ace abd abd ade ade e e d d e abe f abd abc ace ace d b ade d abe abd abd e e f ade d d abc ace b abd abd ade e d d e e f bde abd abd c d d ade ade d e abd abd b e f ade d d ace abd b b abd abd e c d e e ade ade abd abd ace d d f e d abe abd abd abe ade abc ace d d ace abd b b abd abd b d d e abc ade ace abd abd ace d d bde b b e abc abd e ade ace ace d d b abd abd e e abd abe d d bde abc bce b abd abd ace d d e e d abe abc abd ade ade ace ab2 d d bce abd abd e e abd abe d d ade ade ace b abd abd f d d e e b abe abd abc abc bce ace ace b d ade abd abd e e abd abe d d ade abc ace ace abd abd bde d d e e d abe abd abd bde ace ace bce d d ade abd abd e b abd bde d d bce ace ace b abd abd bde d d e ab2 abc abc abd abd ace ace bce bce d d abe abd abd e e abd bde d d ace ace bce b abd abd e d d e e d ade abd abd ace ace bce bde d d e abd abd e e abd bde d d ace b b ade abd abd e d d e e d ade b abd ace ace b bde d d e abd abc abc abd abd ace ab2 d ace ace b b abd abd ab2 d d e bde d bce abd abd ace ace b bde d d b abd abc e abd abd ace d b b bde bde e abd abd e d d f bde abc ace abd ab2 ab2 ade b e d d b abd abd abc abc abd ace d b ace bde e e abd abd e d d bde bde d ace abd abd ade ade b e abc d e abd abd ade ade abd ace d b b bde abe abe abd abd e abc d d ace abc bce b b abd ade e e d d e bde abd abd ace ace bce d d bde bde abd abd e e abe ade d d ace ace bce b abd abd abe d d e e d bde abd abd ace c ade ade d d b abd abd e e abd ade ab2 d ace ace bde b abd abd e d d e e d bce b ab2 ace ace b ade d d e abd d e abd abd ace ab2 b ace ace ade ade abd abd ab2 d d e f d ace b ab2 bce ade b bde d d e abd abc e abd abd ace ab2 b b ade ade e abd abd e d d abe f d ace b abd bce ade ade bde abc d b abd abc f abd abd ace d b b ade e abc abd abd e abc d d f ace ace b b abd ade e e d d e f abd abd bce ace ace d d ade ade abd abd e b abe abc d d ace ace bce b b abd ade d d e e abc abc abd abd ace d d bce e d abe abd abd abe abe ade ade d d ace abd abd b f abd e d d e e abc ade abd abd ace d d f e d b abd abd abe abe ade abc d b ace abd abd b abe abd ab2 d d e e ade bce b abd ace d b f d d e abd abd abe ade ade ace ab2 b b abd abd f ade abd ab2 d d e bde bde bce b abd bce d b f d d e abd abd e ade ade ace ab2 d ace abd abd f e abd abe d d ade ade abc ace b abd f d d e abc d b abd abd ade ade ace ace d b b abd abd abc c abd e d d ade ace ace bce abd abd b d d e abc d e abd abd ade bce ace ace d b f abd abd abc e abd abe d d b ace ace bce b abd ade d d e e d abe abd abd ade ace ace ade d d bde abd abd abc e abd abe abc d b b ace bce abd abd abe d d e e d abc abd abd ace ace bce b d d e b abd abd e abe ade abc ab2 b ace ace bde abd abd abe d d e e d abc abd b ab2 ab2 ace b d d e b abd abc e abd ade d ab2 b b ace bde b abd e ab2 d d ade bde d abd b bce bce f b abf abc e b abd d e abd abd d ab2 ace ace b bde ade abd e ab2 d d b abc abc abd b bce ade ade b e abc abd b e d abd ade ace d bce ace bde b f abc abd d d e abd d ace abc abd ace ade ade f e e abc ab2 abd abd d ade ace ace d bce bde bde b e abc abd b d d abd b d ace abd b ade ade abe e e d abe abd abd d ace abd bce d ade ade bde e e abc abd e d abc abd b b ace abd ade ade bde e e abe d abd abd f d ab2 ab2 ace d ade e abd abe e e abd d d f ab2 b b ace abd ade abe d d e e d abd abd bce b ab2 ab2 bce b ade abc abd abd e e abd d d ace ace ade ade bde abd e e d ab2 e d d abd abd ace ace bce ade ade b e abc abd b e abc abd d d ace ace b b ade abd e e d ab2 e d d abd abc ace b ade ade bde d e abc abd b e abd abd d d bce ace ade ade bde abd abc c d d e e d abd abc ace ace bce ade ade d e abc ab2 b abd abd ade d d ace bce d bde e abd abc e b abe d d b abd abd ace ade abd f d d e e ab2 abf abd abd ace d d b ade d bde b abd abc e e abe abc d b abd abd bce b abd ade d d e e f bde abd b ab2 ab2 d d ade e e b abd abd abe f ade d ab2 b b abd abd bde ade d d e e f abd abd bce b ab2 ab2 d b ade abc abd abd e abc abe d d ace ab2 ab2 abd abd ade ade c d d e e abd abd ace ace bce d d ade ade bde abd abd e e abc d b bce ace ace abd abd ade ade abc d d e e abd b f abc ace d d ade ade abd abd abc e b abe d d bce bce ade abd b b ade d abc e d f abd abd b ace ace bce b d ade abe abd abd e bde b d d ade ace ace bce abd abd bde d d abc e b ade abc abd b ace d d bde ade d abd abd c e e bde f d ab2 ace abd abd ade abc abd b d abc e b ade ade ab2 b ace d d bde f d abd abd e e ade bde bde b ab2 ace abd abd d d abd e d abe e b ade ace ab2 b ace d d abd abd d e abd abe e ade ade ace b b bde abd abd d abc abd d d e e bde ade ace ace b ade d d abd abd d e abd ade b f abc ace ace bce bde abd abd d abc abd b d e bde bde bce ace ace abd ade d d abc c d ab2 abd e b ace ace ade d d bde abd abd e abc ab2 b d d bde ace ace ade abd abd ade d d abc e d ab2 abd abd b ace ace bce d d abe abd abd c abc ab2 b d d ade ace ace bce abd abd bde d d abc e b ade abd abd b d d bce b d e abd abd e e bde bde d b ab2 abd abd ace f abc e b d e e b ade abd ab2 b d d bce bde d abd abd e e ade ade abc d b ab2 abd abd ace ade abc d d e abc bde bde ade abd ab2 ab2 b b d d e abd abd e e abd ade d d b ab2 ab2 b b abd abc d d e abc d ade abd abd ace ace f f d abc c abd abd e ade b bde abc d b ace f ade abd c abc d b e d d abd abd ace ace bce f bde d abc e abd ab2 e abd b d d ace b ade ade bde abd c abc d b abe d d abd abd ace ace ade ade bde d abc e abd abd f f b b d d ace ade abe e abd c e d b f d d abd ab2 ab2 ace ade e e d abe e abd d ade abd b b ace bde b f abc e abd abd d d abd bde b ab2 ab2 ace ace ade abc e abd d abc abd d d ade ab2 b b ace bce bde bde d d abd abd d ade abd bce b ab2 ab2 ace ace ade abc abd abd d abc abd d d ace ab2 ab2 b b ade abc e d d abd abd d ade abd bce b ab2 bde bde f ade abc abd abd d abc ab2 d d ace ab2 ade ade f f abc c d d abd abd b ace abd ade b d ade ade e c abc abd b d d ab2 bce d ade ace abd ade ade abe abc c d d abd abd b ace abd ade ace d ade ade abc c abd ab2 b d d ade ace d ade ace abd bde abe abe abc d b ab2 abd abd b ace abd d d ade e e abe abe abd ab2 b b d ab2 ace d abd abd abc e e abe abe d b ab2 ab2 abd b ace abd d d c abc e e abe abd e ade d b ab2 d d abd abd abc e e abe abc d b b abd ab2 b abd abd d d c abc e e abe abd ab2 b b d ab2 b d abd abd abc e e abe abc d b ade abd ab2 ab2 abd abd d abc c e e abe abe abd ade ade d b ade d d abd c abc e e abe abc d b b abd d b abd abd d abc c e e ade ade b b ace d b ace d d abc c e e abe abe ade d b b d d b abd abc abc e c ade d d ade b b abd abd ace f d d abc c e ade b b ade d b f d d bce abd abc abc e e b ab2 d ade b abd d ace b f abc e e c ade ab2 b b d ab2 b d d ade abc abc e e abe bde b d d ab2 b d abd abd bde bde abc e e d ade ab2 b b abd ab2 b d d ade abc d e e abc bde b b ace ab2 ab2 d d abd abd c abc e e abe d ab2 b b abd ab2 bde abd d d abc e e abe abc abd b ace d ab2 ab2 d d abc abc c e e bde ade d ab2 b b d ab2 abd abd d e abc ade d e abc ab2 b b ace abd d d abc abc d c e abd ade ade b b d d b abd abd abc abc c e ade d abe ade ab2 ab2 b b abd d d abc abc d abe ade abd e e b b d ab2 b abd abd abc abc c e e d ade b ab2 ab2 abd abd bde d d abc abc d ade abd abd e ab2 b b d d b abd abc abc abd c e d b b ade ab2 ab2 abd abd bde abc c c d d ade abd abd bde ab2 ab2 b d d ade abd abc e abd abd e d b b ade ab2 ab2 abd abd bde abc d d e abc ade abd b b ab2 ab2 b d d abc c c abd abd abe bde d b b d ab2 b abd abd c abc e d d abc e b b abd ab2 ab2 d d abc abc c e abd abd ade ade b b ab2 d bde abd abd e c abc e d d bde ab2 b b abd ab2 ade d abc c c d e abd abd e b b ade ab2 b bde abd abc abc c abd d d bde abd f ab2 b b ace ade d abc c abd d bde abd abd ab2 b b ade f ace ace abd abc abc c d d b b abd ab2 ab2 ace ace ade ade d abc abc abd d bde abd abd d b b ace ade b bde abc e e d d ade b b abd ab2 ab2 ace ace ade abc c abd abc e d d b b ab2 ab2 b ade ade bde c abc d d abd abd d ab2 ab2 b b ab2 ace ace ade abc c d d abc abd d b b ab2 ab2 ade ade bde abc c d d abd abd d f b b ace ab2 ab2 ade ade c abc d d abd abc d ade b b ab2 ab2 bde bde abc abc c d d abd abd d b b ab2 ab2 ade ade f e c abc d d abd abd ab2 b b ade ab2 b ade ade abc abc c d d abd abd b ab2 ab2 b ade ace bde abc abc c d d abd b b ab2 ab2 b ade ace bde ade abc c c d d abd abd d b b ace ace ade ade abe abc abc c d d b b d ab2 ab2 ade ade bde bde abc abc d d abd abd ab2 f abd b b d ade ade bde c c abc abd d d b b d ab2 ab2 abd ade ade abc abc d d e abd abd ab2 ab2 b b ab2 d ade ade e abc c abd abd d ab2 ab2 b b ab2 ade abd bde ade abc c d d e abd b b abd ab2 ab2 ade d abc abc c abd abd e f d d b b ade ade abd abd ade bde abc c d d f ab2 b b abd ab2 ade d d abc abc c abd abd ade f b ab2 d b b bde abd abc abc c c d d bde bde ab2 b b abd ab2 d d abc abc d e abd abd ab2 ab2 b b ab2 d b abd abd abc abc c e d d b b ab2 ab2 b abd ab2 d d c c abc ade abd abd ade d b b d d b abd abd abc abc c ade d b b abd ab2 ab2 abd abd ab2 d c c abc abc ade abd ab2 ab2 d b b d d abd c abc abc e c ade d ab2 ab2 b b ab2 abd abd d abc c c abc abc ade abd ab2 ab2 b b ab2 d d abd c c abd abd ade ade ab2 ab2 b b ab2 abd abd ade d abc abc d d abc bde b b ade ab2 ab2 d d abc abc c c abd abd ade d ab2 b b d e abd c c e abc abc d d abc ab2 b b abd ab2 ade d d abc abc c bde abd abd ade b ab2 d b b bde abd abc abc c c d d bde bde ab2 ab2 b b ade ade d c c abc abc abd abd ade d b ab2 ab2 b b abd abd c c abc abc d d b b ab2 ab2 b abd ade d c abc abc d bde abd abd ade e b b d d b abd abc abc abd c ade d b b ade ab2 ab2 abd abd e abc abc d d abc ade abd ab2 ab2 abd b ab2 d d ade c c abc abc c bde ab2 ab2 b b ab2 abd abd bde e abc c c abc abc ade b b d ab2 ab2 d d abd abc c c abc bde bde d ab2 ab2 b b ab2 abd abd c c abc abc d ade abc abd b b abd ab2 ab2 d d abc abc c abd abd ade c d ab2 b b e abd abd c c abe abc c d ade abc ab2 ab2 b b ab2 d d abc abc d c abd abd e ade b ab2 ab2 b b abd abd c c abc abc c d ade ade ab2 ab2 b b ab2 d d c c abc abd abd ade ade d b b d f b abd abd c c abc d d ade b b ab2 ab2 b f d d c abc abc e abd abd ace ab2 ab2 b b d e b abd abc abc abd ade d d b b e ab2 ab2 abd ade d abc c c d bde abd abd ade ade ab2 ab2 b d bde abd c c abc abc c d d ab2 ab2 b b ab2 abd ade d abc c c abc abc abd abd ab2 ab2 b b d d ade abc c c abc abd c d ab2 b b d ab2 b abd c c abc abc d d abc abd b b abd ab2 ab2 d d abc abc c e abd abd ade d b b ab2 ab2 bde abd c c e abc c d d ace ab2 ab2 b b ab2 e d abc c c abc abc abd abd d b ab2 ab2 b b ab2 abd abc abc c c d d ade abd ab2 ab2 b b bde bde d c c abc abc abd abd bde ab2 b b d d b abd abd c c abc abc d d b b ab2 ab2 b abd ab2 d c abc abc d ade abd abd ab2 ab2 b b d d b abd c c abc abd ade d b b e ab2 ab2 abd abd ade abc c c abc abc c abd ab2 ab2 b b ab2 d d abd c c abc abc ade ace ab2 ab2 b b ab2 abd abd e d abc c c abc abc ace b ab2 ab2 b b ab2 d d abc c c abd abd ade ace ab2 b b d ab2 b abd c c abc abc d d abc ade b ab2 ab2 b b d d abc abc c e abd abd c b ab2 ab2 b b ab2 abd c c d abc c d d ade ab2 ab2 b b ab2 e d abc abc c d abd abd ace d b ab2 ab2 b b e abd c c abc d d ace ace abd ab2 ab2 b b e d c c abc abc c abd abd ace ab2 ab2 b b d e abd abc c c abc abc d b b abd ab2 ab2 abd abd ab2 d c c abc abc ade abd ab2 ab2 d b ab2 d b b c c abc abc ade ade d b b d ab2 ab2 abd abd e abc c c abc abc ade abd ab2 ab2 b b ab2 d d e e abc abc c c ace ab2 ab2 b b ab2 abd abd e d abc c c abc abc bce b ab2 ab2 b b ab2 d d abc abc abd abd c c ace ab2 ab2 b b ab2 abd abd c c abc abc d d abc ab2 ab2 b b ab2 e d abc abc d c c abd abd ade b ab2 ab2 b b e abd c c d abc c d d ace ab2 ab2 b b ab2 e d abc c c d abd abd bce d b ab2 ab2 b b ade abc c c abc d d bde b b ab2 ab2 b e ab2 d c c abc abc c abd abd ab2 ab2 b b ab2 d b abd abc abc abd c abc d d b b ab2 ab2 abd abd ab2 abc c c abc abc c abd ab2 ab2 abd b ab2 d d e c c abc abc abd ade d ab2 b b d ab2 abd abd abe abc abc c c abc ade abd ab2 ab2 b b ab2 d d abd c c abc abd c ade ab2 ab2 b b ab2 abd abd e d abc abc d d abc bce b ab2 ab2 b b ab2 d abc abc c c abd abd c d ab2 ab2 b b e abd abd c c abc abc d d abc ab2 ab2 b b ab2 e d abc abc d c c abd abd bce b ab2 ab2 b b e abd c c abc d d ade ade ace ab2 ab2 b b ab2 abe d c c abc abc abd abd ace d b b d ab2 ab2 abd abc abc e c abc d d ace abd ab2 ab2 b abd ab2 d c c abc abc ade abd abd ab2 ab2 b b ab2 d b abd abc abc c c ace d d b b ab2 ab2 abd abd ab2 d c c abc abc ade abd ab2 ab2 d b ab2 d d e c c abc abc ade ade d ab2 ab2 b b ab2 abd abd d abc c c abc abc ade abd ab2 ab2 b b ab2 d d abd c c abc abd c ace ab2 ab2 b b ab2 abd abd e d abc abc d d ace ace b b ade e b ab2 d abc abc d abd c c ace ace bce b b ab2 ab2 abd d c c abc abc ace ade abc ab2 b b abd ab2 b d abc abc d c c bce ade ade b ab2 ab2 b b ab2 d c c abc abd ace ace ade d ab2 ab2 b b ab2 abd abd c c abc abc d d ace abd b b abd abd b d abc abc e ade abc abd abd b b d d ab2 ab2 e abd abd abc abc ace ace d ab2 ace abd b b abd abd b d abc abc c c abc abd b b d d b e ab2 ab2 abc abc ade ade abc ace d ab2 ab2 d b ab2 abd abd e c c abc abc d bce abd ab2 ab2 b b ab2 d d e abc c c abc abc ace d ab2 ab2 b b ab2 abd abd d d abc abc c c ace ab2 ab2 b b d d e e d abc abc abd ade ace ace b b d d abd abd e abc abc ade ade d c c b ab2 ab2 abd b d d e c c abc abc abd ace d ab2 b b d ab2 b abd abc abc ade c c d d abd b b abd abd ab2 e d abc abc ade ace abc abd abd d ab2 b b d ab2 e abd abc abc c abd abc d ab2 ab2 b b e abd b e abc abc d d abc abd abd b ade ab2 ab2 b d ab2 abd abd c c abc ace d d ab2 ab2 b b ab2 abd b d abc c c abc abc abd abd b b d d e ab2 ab2 abc abc abd ade abc ace d ab2 ab2 d b b abd abd e c abc abc d c abc abd ab2 b b abd d d e e abc abc ade abd abc ace d ab2 ab2 b b abd abd e d abe ade ade c c abd ab2 ab2 b b ab2 d d c c abc abc abd abd abc d b ab2 d b b abd abd abc abc ade d d ace ace b ab2 abd abd b e d d c ade abc abc abd abd ace ab2 b b d d b abd abc abc abd abd abc d d ace b b ade abd b e d abc abc d d abc abd abd ace ab2 ab2 e d ab2 e abd abc abc c c abc d ab2 ab2 b b abe abd b e d c c abc abc abd abd b b d d ab2 ab2 e abd abd abc abc ace ace d d ab2 abd b b abd abd b c abc abc ade ace abc abd b b d d b e d abe abc abc ade ace abc ade d b b d d abd abd e e c c abc abc c ace abd ab2 ab2 b b d d e e abc abc ade abd abc d d ab2 ab2 b b ab2 abd abc abc d d abc c c abd ab2 ab2 b b ab2 d d c abd abc abc abd abd abc ab2 b b abe e b abd abd abc abc d d ace ace bce b b abd e e abe d d c ade abd abd ace ace bce d b e e abd b e abc abc ade d abc ace ace bce b ab2 abd b b d abc c d abc abc abd abd ace ace ab2 ab2 d d ab2 abd c c abc abc c d d ace ace b ab2 ab2 b b d abc abc d d abc abd abd b b ade e ab2 ab2 e abc abc abd d d ace ace ab2 ab2 ade ade ab2 e e abe d abc abc d d abc abd b b ade ade b d d e abc c abd abd abc ace d ab2 ab2 d e e abd abd e abe c c abc abc ace abd b b abd abd b d d e abc abc bce abd abc ace d ab2 ab2 b b ab2 abd abc abc e ade abc c c ace abd b bde ab2 ab2 d d c abd abc abc abd abd abc d b b abe e b abd abc abc d d bce ace d bce b b e e abe abe d c abc abc d c abd abd d ab2 ab2 b b e e c abc abc d d abc ace d abd b b abe e b abe abc c c abc abc d d abd ace b b e e ab2 abe e abc abc c c abc d d ab2 b b abe e e abe abc abc d d abc abd d b b abd ab2 ab2 e e abc abc d abd c c d ab2 ab2 ade d ab2 b e d c c abc abc c ace abd b b ade abd b d d abd abc c ade abc abc ace b ab2 bde abd d e abd abd abc abc f c c ace ace abd b b d d abe e d abd abc abc ade ace abc bce b b bde abd b e abd abc abc d d abc c c ace abd abd ade ab2 ab2 d d e e abc abd abd ace abc d b b d e b abd abc abc ade ade d d ace ace b ab2 abd abd b d d c c abc ade abd abd ace d d b b d e abd abd abc abc ade ade abc d ace abd b b abd abd b d abc c ade abc abc abd abd b b d d b e ab2 abd abd abc abc ade ade d d ab2 abd b b abd abd b d abc abc ade ace abc abd abd b d d e ab2 ab2 e abd abc abc ade bce ace d ab2 ab2 abd b b abd abd e d abc abc bce c abc abd b b d d b e d abd abc abc ade ace abc bce b b bde abd b e abd abd d d bde bde f ace ace abd ab2 b b d d e c abd abc abc abd ace abc bce b b e e b abd abd abc abc d d abc c ace b ab2 ab2 ade e ab2 d d abd abd abc abc abd ace ace d b b e e b abd abc abc d d abc ace ace bce b ab2 ade b b d d abc abc d abd abd ace ace bce bce ade d b ab2 abd abd e e abc abc d d ace ace ade ade abd b b d abc abc d d c c abd b b ade ade ab2 ab2 d abd abd abc abc abd c bce d ab2 ade b b abd abd b c abc abc d d abc ace abd b ade abd bde d d e abc c ade abc abc ace d ab2 ab2 b b e abd abd e e abc abc d d ace abd b b abd abd b d d e e ade ade abc abc ace b ab2 d b b e abd abd e e abc abc d d ace abd b b abd abd b d d e abc ade ace abd abc ace b b d d b e abc abc abd abd abc ace c c d b b abd abd e e c d d ade ade abd abd ace ace b b d d b e abc abc abd abd abc d d ace b b ade abd ab2 ab2 d d bde bde abc ace abd abd ace ace ab2 ab2 b b e abd c ade abc abc d d ace ace b b abd abd b e abc abc d c c abd abd b b abd d ab2 ab2 e e abe ade abd bce bce d d ace bde d abd abd b b e e bde d abc abc abd b b abd abd d d e e abe abe ade abd abc ace d ab2 b b d abd abd e e abe abc abc d ace ace ab2 ab2 b b abd d d e abd abc abc c c ace ace b b ade ade b d d abd abd e abc c c ace ace bce b abd abd d d abd e d ade ade ace abc abc ace b b d d abd abd d e abd abe ade ace ace c b ace f abd abd d d abd e d abc abc ace ace bce ab2 b b d d b abd abc abc abd ade ade ace ace bce b b abd abd b d d e ade d abc ade abd ace ace bce b b d ab2 abd abd abc abc abd ade abc d ace ace b b abd abd b d abc abc d d ade c b b ace ace b ab2 ab2 d d abd abc ade abd bde ace ace d bde f ade abd b b abd d d bde ace ace bce b b ade f b d d e abc abc abd abd abc ace ace bce d d b b abd abd e e abe d c abc abc abd abd b b ade d d e e abc bde abd abd abc ace d ab2 b b bde abd abd e e d d ade c c abd abd ace bde bde e d d e abd abd f bde abc abc d b b ade abd abd e abc abc d d abc ace ace c b abd bde d d e e d abe abd abd c ace ace bce d b b abd abd b e abc abc d d ade ace ace bce b b bde d b e d d abd abd bde ace ace bce bce d ade ab2 ab2 b b abd abc abc d d abc ace ace bce abd abd bde d b e abc abc abe abd abd ace b b d d b ade ab2 ab2 abd abd abc abc d d ace ab2 ab2 abd b b e d b e abc abc abd abd ace ace bce bce d b b e ab2 abd abd abe d d abc ace d bce abd abd ade ade e e d d abc abc abd abd abc ace b b d d b e e abd abc abc ade d abc ace b b abd abd b ab2 d d e e abc ade abd c ace ace d d e e abd abd e abe abe ade d abc abc ace abd abd b b abe d abc abc ade ade abc abd abd ace d d b b d e abd abd e e ade ade d d ace abd abd ab2 e b b d abc abc ade ade bde abd abd ace b b d d ab2 e abd abd e ade ade d d ace ace abd abd f ab2 ab2 e d abc abc ade ade abc abd abd bce d d b b d e abc abc ade ade abc ace d d ace abd b e ab2 ab2 e d abc abc ade ace ace abd abd d d e e d abe e abc ade ade c abc d d bce b d abd abd e e abe ade ade d abc ace b b abd abd ade d d e e d bde bde abd c ace ace b b d d b abd abd e abc ade ade d abc ace b bce abd abd b d abc abc d d abc ade c c ace ace f d d e abd c c abd abc abc d d abc ace b ade abd abd e d abc abc d d abc abd abd ace b b ade d b e abd c c abc abc ade d d ace ace b b abd abd b c abc abc d d abc abd abd ace ace abd ade d b e abc c bde abc abc ace b b d d bde bde abd ab2 e abd abc e d d ace ab2 bce abd abd ade ade d b e abc abc abd abd abc ace ace bce d d b e abd ab2 abc abc ade d abc ace abd abd ace ace abd e d d e e abc abc abd abd abc ab2 b b d d b abd abd e abc abc ade d abc ace b abd abd bde ade e d d e e abc bde abd c ace d b ade d d abd c e e abc abc ade d ace ace abd d ace b b d abc abc e e ade ade abd d b b d d f e abd c c e abc d d ace abd abd b b abd ade e d abc abc e bde abd abd ace d b b d d b abd abd e abc abc ade d d ace abd abd b b abd ab2 b d abc abc ade ade abd abd ace d d f f d e abd abc abc e ade abc d b b abd abd f ade abd ab2 d d abc abc bde ade abd abd ace d d f abe b b abd abc abc ade ade bce d b b abd abd abe e ab2 ab2 abc abc ade abd abd ace ace abd d d ade e e abe abe abd abc abc d d abc ab2 b b abd abd e e abe abe abc abc ade abd abc ace b b d d ade e abd abd e e abc bde d d ace abd abd ade ade abd b c d e abc abc ade abd abc ace b b d d e e abc abc abd abd abc ace d c b b ade abd abd e d c c d abc abc abd abd ace ace b b d d e abd abc abc abd abd ade d d ace b b bde abd b e d c c abc abc ace abd abd ace ace b b d d b abd abc abc abd abd bce d d ace ace ade ade b b e abc abc d d abc ace b b abd abd ade e ab2 ab2 d d abc abc abd abd ace ab2 bce d b ade abe abd abd e abc abc d d ace ace b b abd abd ade e d d abc abc f abd abc ace ace b b d d e abd abd e e abc abc d d ace ace b b abd abd abe d d e e d ade abc abc ace b b bde d d e abd d e abd abd bde bde ace ace bce b b abd abd b c c d abc abc bce ace ace bce b b bde d d abd abc abc abd abd abc ace d c b b ade abd abd e d d e e abc abc ace abd bce ace b ade d d e abd abc abc abd abd abc d d ace b b e abd abd e abc abc d d abc ace abd abd ace bce b b d d e abd abc abc abd abd abc d ab2 ace b b abe abd b e abc abc d d ade ace b b abd abd bde e d ab2 e d ade abd abc bce ace ace bde d b ade abd abd e c abc abc d d ace ace b b abd abd ade d d e abc abc f abd abc ace d b b d d e abd abd e e abc abc d d ace abd b b abd abd b d d e abc abc ade abd abd ace b ab2 d b e e abd abc e abd ade ace d c ace ace b b abd abd abe d d e abc abc bce abd abd ab2 b b d d e e abc abc abd abd ade ace d d b b bde abd abd e e c c d abc bde abd abd ace ace b ade d d e e abc abc abd abd abc d d ace b b bde abd abd e abc abc d d abc ace abd b b abd ade b d d e e abc abd abd ade bce d d ace b b abd abd b e abc abc d d ace ace b b abd abd ade d d ab2 abc abc bde abd abd bce d ab2 ab2 d b e abd abd e c abc abc d d abc abd ab2 ab2 b b ade d d e e abc abc abd abd ace d ab2 ab2 b b e abd abd e d abc abc d d ace abd b ace ade abe abe d d e abd abd ade ace abd bce b b bde e e ade abd abc abe d d ace ace c b b abd ade ade e e d d e abc abc abd abd ace ab2 b b d d b abd abc abc abd abd abc d d ace b b ade abd b e d d abc abc d ade abd abd ace ace b b d d b abd abc abc abd abd abc d d ace b b ade abd ab2 ab2 abc abc d d ace ace abd abd bce bce b ade d d e abd abc abc abd abd bce d d ace b b e abd b e abc abc d d ace ace abd abd bce b b e d ab2 e abd abc abc abd abd d d ace ace b b e abd abe e abc abc d d abc abd b b abd abd abe e d abe e abc abc abd abd ace b b d d b e abd abd e abe abc abc d d ace abd abd ace ade abd abe d d e e bde ade abc abc ace b b d d b e abd abd e abe abc ace d d b abd abd f b abd e d d e ade ade bce abd abd ace b d d e b abe abc abc abd ade ade ace d d ace ace abd abd b e e d d ade ade abd abd ace ace bce b b d ab2 b e abc abc abd abd abc d d ace ace ade ade abd abd e d d bde f abc ace abd b bce bce bde bde d d e abd abd ade abc c bce d d ace b abd abd e b abe abc d d bde ace ace b b abd ade b d d ab2 e e abd abd bce ace b d d ace bde abd abd e e abe abc abc d ace ace ab2 abd abd b b d d e e abc abc abd abd abc d b ace d d b abd abd e e abe abc abc d ace abd abd b b abd ade b d e e abc abc abd abd abc d b b d d e abd abc e e abe abc d d ace b b abd abd b abe d d e e abc ade abd abd ace d b b d d b abd abd e abe abc abc d d ace abd abd ade ade b e abc d e bde abc ade abd abd b b d d b ab2 e abd abc abc abe d abc ace d bce abd abd ade ade abe e d d bde bde abc abd abd ace ace d d e e ab2 abe abd abd ade abc c d d ace ace abd abd abe b b d abc e ade abd abd ace ace bce bce d d e e ab2 abd abd ade ade d d b ace ace abd abd e e d d e abc abc ade abd abd ab2 ace bce b d d e abd abd abc abc abd ade abc d ace ace f f abd abd e d d e abc abc ace c abd ace b ade ade d d e abd abd abc abc abd ace abc ab2 ace ace ade ade abd abd e d d abc abc d ace abd b ace ade ade b d d e abd abd f ade abd ace d d b b bde e abd abd abc abc d d abc ace ace abd abd ade ade f b d d c c abd abc ace abd b b d d b e ab2 abd abd abc abc d d bce ace ace abd abd ade abe e e d d e bde abd abc ace abd bce d d b e e ab2 abd abd abc abc d d ace ace bce abd abd ade abe e b d abc abc abd abd abc ace abd bce d b b e e abe abd abd ade d abc ace b b ace abd abd e e abe abe d abc abc abd abd ace ace b b d d abe abd abd e e abd ade d abc ace ace bde bde abd abd e d d e e d ace abd c b b ade ade b d abe abd abd e abc abd bce d d ace ace ade ade abd abd e d d e abc abc ace abd abd b b ade ade b d e abd abd e abc abd ace d d ace b b ade abd abd c abc abc d d ace ace abd ab2 ab2 abd ade ade b d e e c abd abc ace abd b b d d e e abe abd abd abc abc d d bce ace ace abd abd ade abe e b d abc abc bde abd abd ace b b d d b e abd ab2 abc abc abe d abc ace b bce abd abd bde ade abe d d e abc abc abd abd ace ab2 ab2 d d ade e abd abd e e abe d d abc ace b b abd abd ade ade d d e e abc abc abd abd ace d d b b d abe abd c e e ade ade d abc ace abd abd bde f abd e abc abc e e abc bde abd c b b d d ade e abd c e abd abc bde bce d ace ace b b abd abd e d abc abc d d ade abd abd ace b ab2 bde b b e abd abd e e abd bde d d ace ace b b abd abd e c d d abc abc ace abd ab2 ab2 ace bde e d b e abc abd abd bde bde ace d b b bce abd abd e ab2 d d abc abc ade ade abd ab2 ace ace bde d d e e abd abc abc abd bde d d b ace ace ade abd abd e ab2 d d abe ade ade abd b ab2 ace ace b d d e abd abd e ade abd ace d ab2 ab2 b b ade abd abd e d d abe bde d abc abd b b bce ade bde d d e abd abd abc abc abd ace d d b b bde ade abd abd e d abc abc d d ace ab2 abd ade ade bde e d abc abc abd abd f f abd ace b b ade ade bde e abc c abd d abc f d d ace ace abd ade ade bde e d abc abc abd abd f ace abd bce b b ade ade abe e abc c abd abc abc d d b b ace abd b abe e e c c abc abc abd abd d ab2 abd ace d ade e b abe abc abc abd bde d d abd b b bce abd e e ab2 abe e abc abc abd abd bce d abd ace bde d e e abe abe e ade abd d d ace abd d ace b b e e ab2 abe e bde d d abd b d abd ace bde bde e e abe abe abc abc abd d d ab2 b b bde ade abe e e abe abe d d abd abd d b b bce ade ade e e abe abe d d abd abd d ace ace b b ade ade abc e e d d abd abd d abc ab2 ace ade ade bde e e abe d d abd abd d ace ace b b ade ade bde e abc d d abd abc d abd ace ace bce ab2 b b ade e e abd d d abc abc d ace ace bce b b ade abe d abc abc d d abd abd ace b b ace ade b abe e abd abd abc abc d d bce ace ace bce bce ade ade e b d d abd abd d ade abd b b ace bce b e e abe abd abd abc abc d d b ace ace ade ade f e e b d d abd abc d abd ab2 ace ace bce b b e e abe abd abc abc d d ace b b ace ace b ade e d d abd abc abc abd abd ace ace b ade ade bde abe abd abd e d abc abc d d ace b abd bce ade b e d d e abd abc f abd abd ace d b b ade ade abc c abd e d d bce ace abc ab2 b b ade ade e c d d abd abd abc ace abd bce b b ade ade bde e abc abd abd d d abd ace d bce ace b b ade e e abe abc abc d d abd abd ace ace bce ade ade bde abe e abd abd d d abd ace d b b ace ade ade abe e e d abc abc d d abd ab2 ace ace b ade ade d e e abd d f abd abc d b ace bce ade b e abd abe abc abc d d ade bce b ace ace bde b f d d abd abd abc abf abd ace ace ab2 ab2 b b ade abd abd e d d abe bde d abc ace b b ace ade b d d e abd d abc abc abd ace ace bce b b bde d abd abd e d abd ade bde d abc ace ace bce bce ade b c abc d d e abc ade abd ace b b f d d ade abc c abd abd abc f d d ace ace b b abd abd e c abc d d ade abc abd abd ace b b d d b e abc abc abd abd abc ade d d ace ace b b abd ab2 e d abc ade d d abd abd ab2 ab2 ace ace ade d b e abd abd e bde abc d d b ace ace ade bde abd ab2 d d e f abc abf b ab2 ab2 ace b d d e e d abd abd f bde ade ace b d bce bce b abd abd ab2 abc d d ade ade bce b ab2 ab2 ace b d d e e d abd abd ade ace ace ab2 ab2 d bce b b abd abd e e d d ade abc ace b b abd f b d d e e d abd abd ace ace bce bce b b ade ade abd c e abd abd d d bce abc ab2 ab2 bce abd ade b d d e e d abd abd ace ace b b ade d bde abe abc abd abd e e d d ace ace bce b b abd e d d abc abc d abe abc abd ace ace bce bce d d b abd abd e e abd ade d d b b ace ace b abd ab2 d d abc ade d bde abd abd ab2 ace ace ade d d e abd abd e e abd abc d b b ace ace bde abd abd e d d e abc abc bde b ab2 ace ace b ade d d abd abd d e abd ade ace ace bce bce bde bde f abd abd ab2 d d abe abf abc bce b ab2 ace ace ade d d abd abd d e abd ade ace ace ab2 ab2 b b bde abd abd d d abd abe d bde abc ace ace bce bce ade ade d d abd abd d e abd ade ace ace bce b b bde bde abd c d d abc ade d bce abc ab2 ace ace f ade d d e abd d abe abd abd ace ace b b ace ade ade abd abc e d d e f b ace ace bce b ace ade e d d abd abd d abe abd ace ace bce bce b b ade abe abd abd d d abd f d b b ace ace ade ade bde ab2 d d abc abc d abd abd ab2 ace ace bce ade d e b abd abc e abd abd d ab2 b b ace ace ade abd e e d d e f d abd b ace ace ade b bde d e b abd d e abd abd d ab2 b b bce ade ade abd e ab2 d d abe f d abd b ab2 ab2 ace ade ade d e e abd d f abd abd d ace ace ade b b ade abd e e d d f f abc abd ace bce bce ade ade e abc abd b e d abd ade c d ace b b d bde e c d e e abd d ace abc abd b ace ade abd f e abc abd e abe abc abd ace ace b b bce ade d abd abc c d abd f ade b ace ace bce b ace bde abd d c abd d d ade bde ace ace bce bce ace f d d abd abc d abd abd bde ade b b ace ace b f abd abd d d abc e d ade ade ab2 ab2 ace ace f d d b abd abc e abd abd ade ab2 b ace bce bce b abd abd e d d abc ade d bce b ab2 ace ace f ade d d b abd abc e abd abd ace ab2 b b ade ade bde abd abd e d d abe ade d bce b b ace ace bde ade abc d d abd abd e bde abd ace ace d ade b f bde c abd abd d d abc abc d ace ace abd bce bde bde e abc d b abd abd f bce c ace ace b ade ade bde e c abd abd d d abd ace abc bce ace ace ade e e c abc d b abd d d abd abd ace bce b ade abe e abc c abd abd d d b ace d bce b ace ade e e c d d f abd d ace abd abd ace ade ade bde abe e abc abd abd e abc d b b d ace ade ade bde e e abe abc d d abd abd ab2 ab2 abd ace ade abc b b e abc abd abd f d d b b d bce ade abd e e abe abe d d

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *6464