cabem[9], maceb[9], abace[8], ameba[8],
baca[7], caba[7], bace[7], bece[7], amba[7], ameb[7], maca[6], mace[6], emce[6],
cab[6], amb[6], bam[6], bee[5], mac[5], maa[4], mee[4],
ba[4], be[4], ce[3], ma[3], em[3], me[3], aa[2], ee[2],