This works, but by now I am not sure it is the best way. Actually the
problem is that you can have more (undesired) solutions (I have tested
it in Maple). Also, it is very important to well chose what equations
to put in the system. A choice on the equations can eliminate
symmetry.
So, you are
Ajinkya.
It would be great if you provided us with compilable version of your
solution.
The program that can be found by the link you have posted before
doesn't work.
Implementation of my idea can be found here:
http://programming-challenges.googlegroups.com/web/Find_nums_by_sums.cpp
But as
