MATLAB: How to arrange or matrix columns, depending on the total sum that has the columns

matrix manipulation

Hi, I need to arrange a matrix A to look like matrix B.
Matrix A generate new positions at every iteration, so the positions are not fixed.
If there is a column in A (in this case, column 3) that has sum=0, and after it has column that sum=1 (column 4), I want column 4 to move to column 3. Then column 5 move to column 4 and the last column is the one that keeps the sum=0 column.
This is a sequencing problem, so my desire is to have a smooth sequence.
What is the best way to do this?
Thanks!
if true
  A = [0  1  0  0  0;
       1  0  0  0  1;
       0  0  0  1  0;
       0  0  0  0  0;
       0  0  0  0  0];
B = [0  1  0  0  0;
     1  0  0  1  0;
     0  0  1  0  0;
     0  0  0  0  0;
     0  0  0  0  0];
end

Best Answer

Do
 s = sum(A,1);
 p = find(s(1:end-1)==0&s(2:end)==1);
 B = A(:,[setdiff(1:size(A,2),p),p]);
(Corrected)
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