🚀 go-pugleaf

In article 7932@skye.ed.ac.uk, ken@aiai.ed.ac.uk (Ken Johnson) writes:
>
>***  The Mr S and Mr P Problem, by David Warren
>
>There are two numbers M and N such that 1 < M & N < 100.  Mr S is told
>their sum S and Mr P is told their product P.  The following dialogue
>takes place:
>
>    Mr P: I don't know the numbers. 
>
>    Mr S: I knew you didn't know them; I don't know them either. 
>
>    Mr P: Now I know the numbers!
>
>    Mr S: Now I know them too!
> 
>Question: What are the numbers?

When a friend gave me this problem a few years ago, the bounds given were
1 < M,N < 50, which gives you a unique solution.

If my program is correct, there are four solutions in 1 < M,N < 100.

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 Joachim Schimpf                                 Email   joachim@ecrc.de 
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