I assume:

DC doesn't count as a state.

Spaces in state names ("Rhode Island") are left out ("RhodeIsland") with
no effect on the result.  RhodeIsland has 11 letters, not 12.

Case is unimportant.  Every uppercase "A" matches a lowercase "a" in the
results.

Every letter is reused once.  No letter is left out.  No letter is used
twice.

I'm just doing some noodling about the problem --

I think a lot of eliminations can be made on some basics I discovered:
The shortest state names have 4 letters; the longest, 13.  Therefore,
numbers between 4 and 13 have to be partitioned into pairs, and any pair
with an integer less than 4 can be eliminated right off the bat.  After
doing this, I have left only

4+9=13
5+8=13
6+7=13

4:  Iowa Ohio Utah
5:  Idaho Maine Texas
6:  Alaska Hawaii Kansas Nevada Oregon
7:  Alabama Florida Georgia Indiana Montana NewYork Vermont Wyoming
    (Arizona too, but it has already been eliminated, remember?)
8:  Arkansas Colorado Delaware Illinois Kentucky Maryland Michigan
    Missouri Nebraska Oklahoma Virginia
9:  Louisiana Minnesota NewJersey NewMexico Tennessee Wisconsin

So this narrows the choice somewhat:  Does Iowa + Minnesota = Georgia +
Nevada?  Well, no, but we can work the remaining possibilities
exhaustively.  But that takes care only of the 13-letter possibilities!
Still have to look at 4-12.

Other eliminations can be based on letter occurrences.  For instance,
New Jersey is the only state with a "j", and Arizona is the only one
with a "z".  So neither one can appear in the result.

Charles Hethcoat

> -----Original Message-----
> From: Steve Wampler [mailto:[EMAIL PROTECTED] 
> Sent: Tuesday, April 10, 2007 3:39 PM
> To: [EMAIL PROTECTED]
> Cc: unicon-group@lists.sourceforge.net
> Subject: Re: [Unicon-group] A new puzzle
> 
> [EMAIL PROTECTED] wrote:
> > 
> > I presume that case should not be significant, but how about spaces?
> 
> Let's assume that neither is significant.
> 
> 
> --
> Steve Wampler -- [EMAIL PROTECTED]
> The gods that smiled on your birth are now laughing out loud.
> 
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