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Where each of the variables (a,b,d,e,...,u) can be 0 or 1.

Therein lies the problem. What if the answer was "shoes" ... you now have 2 S'es ... that's why this cannot really be solved algebraically. Now, if the requirement was that you didn't take unique letters but instead followed the rules of Jotto, then simultaneous equations would work just fine.

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In reply to Re^2: Challenge: Mystery Word Puzzle by dragonchild
in thread Challenge: Mystery Word Puzzle by Limbic~Region

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