Hi guys this is not quite a Programming question rather a logic question.

I have a matrix 5x5 like this :

a + b * c
* d + f +
g * h + i
+ j + k *
l + m * n

Can someone help me to find an algorithm to find all the math operations possible in this matrix?
Like :
a+b
a+d
a*d
a*b*c
a+d+f and so on.
I tried to make a Grapth data Structure but coud not find a solution.Can some one help to find this puzzle?
Thanks.

1) Turn off your computer
2) Get some paper, pencils, and erasers
3) play around with how YOU would do it, using only the above materials.
4) Once you think you know how to do it, try to explain it to a 10 year old child in such a way that THEY could do it.

Only when you have completed the above should you consider turning on your computer and writing a single line of java.

There are only two hard things in computer science: cache invalidation, naming things, and off-by-one errors