Matlab running out of memory on code

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IKnowNada
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Homework Statement


I am trying to run code for the code below but MATLAB runs out of data.

The Attempt at a Solution


NumberOfVariables = 9;
k=NumberOfVariables^2-NumberOfVariables+1;
integers = 0:k-1;
numbers = 1:k-1;
tic
s = combnk(integers,NumberOfVariables);
AllAnswers = [];
for i = 1:size(s,1)
G=combnk(s(i,:),2);
G = [(G(:,1)'-G(:,2)') (G(:,2)'-G(:,1)')];
G = sort(mod(G,k));
if (isequal(G,numbers))
AllAnswers = [AllAnswers;s(i,:)];
end
end
toc

I am trying to find the numbers that satisfy the condition in the code. I want the first AllAnswers that do not contain zeros for NumberOfVariables = 9,10,12,14,17,20?I wrote code for the for loops, but as we all know that doesn't scale favorably in computational time and MATLAB crashes.
 
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