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Build A Neighborhood Park Without Destroying The Neighborhood

Computer Science Level 3

Josie is planning out a new community park in a suburban neighborhood. The community agrees that the park (which must be rectangular) should be as big as possible, but there are several homeowners who refuse to surrender their properties to the new development.

If the following grid shows (in black) the homeowners who are not willing to sell, what is the largest possible size for the park (in lots)?


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