bega[8], bace[7],
agf[9], fag[9], gaf[9], caf[8], efa[7], beg[7], cab[6], bad[6], dba[6], dag[6], gad[6],
fa[6], ef[6], fe[6], ba[4], be[4], ag[4], ad[3], da[3], ce[3], de[3],
