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A picture of a flag is to be completed by shading two squares that do not share an edge. The diagram shows one way in which this can be done.

How many different possible completed pictures are there (including the one shown)?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

*This problem is taken from the UKMT Mathematical Challenges.**View the archive of all weekly problems grouped by curriculum topic*