Project Euler #152: Writing 1/2 as a sum of inverse squares

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    If this is out of school, totally understand, but thought I would see if anybody could point me in the right direction within the rules of the competition. I've got a working solution in a reasonable amount of time for the base euler 152 problem with the fraction of 1/2 for up to 100, but am still failing most of the test cases. What are some of the corner cases to consider in tracking down the missing combinations?