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tough logic problem
Two integers, m and n, each between 2 and 100 inclusive, have been chosen. The product, mn, is given to mathematician X. The sum, m + n, is given to mathematician Y. Their conversation is as follows: X: I don't have the foggiest idea what your sum is, Y. Y: That's no news to me, X. I already knew that you didn't know. X: Aha, NOW I know what your sum must be, Y! Y: And likewise X, I have surmised your product! Find the integers m and n. can you prove uniquenss? (i can't. don't even know if it's possible) |
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