kega[7], geek[7], gaik[7], kegi[7], agia[6], akia[5], akie[5],
keg[6], gik[6], aga[5], agi[5], gai[5], gie[5], kia[4], kei[4], kie[4], aaa[3],
ag[4], ka[3], ki[3], aa[2], ee[2],