Ask eight of these people to stand in a line shoulder to shoulder, alternating male/female or blue tops/red tops, etc.
Announce that you would like the rest of the group to rearrange this line with four of one type standing shoulder to shoulder next to the other four on the other side, ie red-red-red-red-blue-blue-blue-blue.
Challenge your group to achieve this result in the fewest number of moves.
Explain that all moves must be made in pairs of (any) two people/objects standing next to each other.
When being moved, these pairs cannot be switched nor pivot in orientation.
When pairs are moved they leave an empty slot in the line which may later be filled.
The solution involves no gaps in the line.
Allow 20 to 30 minutes to problem solve and refine the most efficient solution.
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