Question: Consider an instance of the Stable Matching Problem in which there exists a man m and a woman w such that m is ranked first

Consider an instance of the Stable Matching Problem in which
there exists a man m and a woman w such that m is ranked first on the
preference list of w and w is ranked first on the preference list of m. Then in
every stable matching S for this instance, the pair (m, w) belongs to S.

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