Guards in the Gallery #1

Geometry Level 3

The purple figure below is the floor plan of a gallery, and an example is shown of what could be seen by a single guard who cannot see through walls but who can look 360 360^\circ around.

Your job is to position some number of guards in the gallery such that every location in this gallery is in view of at least one of the guards.

What is the fewest number of guards that you can use to guard the entire gallery?

You can assume any sub-region of the gallery that appears to be a rectangle is, in fact, a rectangle.


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