isums=: 4 : 0
 if.     0>:y do. i.0 0
 elseif. 1= y do. x $~ (0<x),1
 elseif. 1    do. 
  j=. 1+i.9
  ((-: ~.)"1 # ]) ; j ,.&.> (x-j) isums&.> y-1
 end.
)

   5 isums 3
   $5 isums 3
0 3
   6 isums 3
1 2 3
1 3 2
2 1 3
2 3 1
3 1 2
3 2 1
   7 isums 3
1 2 4
1 4 2
2 1 4
2 4 1
4 1 2
4 2 1

I am not sure that this is a good way to solve
Kakuro puzzles.



----- Original Message -----
From: JC Coez <[EMAIL PROTECTED]>
Date: Friday, July 28, 2006 7:26 am
Subject: Re: [Jprogramming] Diagonal generalization

> 
> 
> > Perhaps you might like to refine your question.  The indicies of 
> each 
> > element are generated by
> >
> > ind =: $ #: [: i. [:*/$
> >
> To refine my question : given an integer X and a number n, I would 
> like to 
> find all combinations of n different integers from 1 to 9 for 
> which the sum 
> is  N. Just like in the kakuro puzzle.


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