Cockroach (fan expansion for Hive)

The Cockroach moves like the Ladybug, first on top of the Hive, and then one space down to ground level. The Cockroach must move onto the Hive as its first movement, and must move onto ground level for its final movement, however, its total movement on the hive is not restricted, except that it cannot move over pieces belonging to the opponent. The Cockroach is on the same tile as the Ladybug.