# The Sofa - move - problem

The question of which sofa you can just push through a hallway that turns at right angles is an unsolved mathematical problem. Fame and glory await the designer of the ideal sofa! Imagine you have a hallway that turns at a right angle. You also have a gift certificate that allows you to order a fancy designer sofa in a shape of your choice. Consider what shape your sofa should have so that its area is as large as possible, but it still fits through the hallway.

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