Math puzzle: The four islands

Once upon a time, four queens known as the queens of blue, red, green and pink were locked in a bitter feud. The monarchs lived on four islands, all the same size, yet each with its own distinctive wildlife and vegetation. Each queen plotted to conquer all four islands for herself, and war would certainly have begun, if not for the timely intervention of the four queens’ wise and peacemaking daughters.

The clever princesses proposed a compromise:

So that everyone could enjoy the islands’ full variety, each island would be broken into a grid of 20 equally sized plots, and each queen would rule over five plots on

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