$\backslash$table$[[1,$A sequential circuit has been designed which behaves slightly erratically. When switched on it$]]$ produces on its three output wires one of the following patterns:

$[$:$[000],[001],[100],[111],[010],[000]\}$ or $[$:$,[011],[111],[010],[000],[001],[100]\}$

The last pattern was not intended to arise, although the other two are acceptable. Deduce a possible circuit which exhibits this behavior.