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There is a 50x50x50 cube comprised of 2x2x2 smaller cubes. We decide to strip the big cube by taking all of the 2x2x2 cubes off

There is a 50x50x50 cube comprised of 2x2x2 smaller cubes. We decide to "strip" the big cube by taking all of the 2x2x2 cubes off the outer layer and continue to do this until we are left with the smallest cube possible. How many times will we have "stripped" the cube by the end?

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