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All 10 Digits (Posted on 2008-08-12) Difficulty: 3 of 5
Pat has made up a list of 5-digit perfect squares (all different) which use only the digits 0 through 4, none of them starting or ending with a zero. Each of the digits 0 through 4 is used a different number of times, those numbers of times being 5 through 9.

Mike has also chosen some 5-digit perfect squares, but using only the digits from 5 through 9. Each of his digits 5 through 9 is used a different number of times in his squares, those numbers of times being 0 through 4.

What were the eligible squares for each of Pat and Mike, based on their constituent digits? Which of them did each actually use?

See The Solution Submitted by Charlie    
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  Subject Author Date
computer solution (spoiler)Daniel2008-08-12 17:24:22
Cluesed bottemiller2008-08-12 12:43:39
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