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Assume the DES only has 3 rounds instead of 1 6 rounds. Please explain why a weak key in DES will cause self - inverting

Assume the DES only has 3 rounds instead of 16 rounds. Please explain why
a weak key in DES will cause self-inverting (i.e., Enck(Enck(m))= m, where k is a weak key). Please
follow the example proof from the 2-round DES mentioned in the lecture.

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