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 The MU Puzzle...

Ok...the answer could probably readily be found via Google, but no cheating...

The MU Puzzle...

Here's how it works:
 
It consists of transforming a string "MI" to a string "MU" following a set of rules. The only 3 letters used are M, U, and I.
 
The rules are basic, but restrictive. They are also forward only, and all rules are optional, in that you can apply a rule if you choose to, as long as the rule applies.
 
Here are the rules:
 
1. If you have a string where the last letter is I, then you may add a U on at the end.
 
2. If you have Mx, then you may change it to Mxx (i.e. MIU to MIUIU).
 
3. If a string contains III, you may replace it with U (pretty self-explanatory).
 
4. If UU occurs in a string, you may drop it (again, self-explanatory).
 
Now...can you produce "MU"?

Remember...no cheating...

Started By Monte on Aug 16, 2010 at 1:07:17 PM

5 Response(s) | Reply

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Monte on Sep 10, 2010 at 7:01:07 AM

It's been long enough...

The answer is: There is no answer.

More correctly, the answer is, given the rules above, you cannot produce MU from MI.


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