bacy[8], caby[8], bady[8], cacy[7], cyca[7], bywa[7], wady[6], wyda[6],
dyb[7], cab[6], bad[6], dba[6], aby[6], cyc[6], baw[5], wab[5], dwa[4], wad[4], wda[4],
by[5], ba[4], ad[3], da[3], wy[3],