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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