Finding position of equal columns in two matrices.

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Hello
First of apologies in advance if this question has already been asked.
I have two binary images of equal size, for our task we need overlay these images but one with a certain offset to the right. We are not given this offset and it is in finding this value that I am having trouble with. There is a note to think about where the columns of pixel value has minimal difference.
Q:Is there way I can find out these equal column values. I would aim to plot these images once the offset is known.
Thank you for your time!
R

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