problem to implement an algorithm

I want to implement the algorithm in matlab but what I underlined with red is confusing me a little bit.

Is there a function in matlab that does this action, or do I just type path(i,j) and it will add on its own?

[John D'Errico]

Um, be careful? path is itself a function in MATLAB, that you do need. so naming a variable path can have consequences. Nor can you just assume that path(i,j) will do anything that you would expect it to do.

[Khalid Sherif]

I will be naming multiple like path_00 and so on cause I am doing a test. I just need to know if there is a way to add I believe maybe an element into the matrix I'll be naming

[William]

Given what John said, you should rename 'path' to something else, like 'pathij'. Then at the beginning of the code set

pathij = [];

and at the location of your red line you can use:

pathij = [pathij; i j];

If you can anticipate how many values of i,j there will be (let's say N), then it is more efficient to give the array pathij an explicit size, with:

pathij = zeros(N,2);
n = 1;

Then, at the red line you would use:

pathij(n,:) = [i j];
n = n+1;

[Khalid Sherif]

Thank you William, that worked.