How can I find all the possible options to make a certain number with three othere numbers

Hello,

I have three weighing numbers for three algorithms. I would like to determine which weighing the algorithms need in order to make them work optimal combined.

For example: The total weighing is 3, so if the algorithms are equivalent each algorithm gets a weight of 1. But if there is one algorithm better then the others it gets a higher weighing, 2 for example. That means that there is only 1 weight left (2 + 1 = 3).

The weighing for the three algorithms is than 2-0-1. To determine the optimal weighing I need to try all the options:

3-0-0

2-1-0

2-0-1

1-1-1

0-3-0

1-2-0

0-2-1

0-0-3

And so on…

As you can see the sum is always 3. How can I make a matrix of some sort?

I thank you in advance!

Answer 1

[Ameer Hamza]

I am using FEX::permn. Download it and place it in MATLAB path. The following code will generate the required matrix.

choices = permn(0:3, 3);
index = sum(choices, 2)==3;
choices(~index, :) = [];

[Jens Keijser]

Thank you!

[Ameer Hamza]

You are welcome.