Question: State true or false and give appropriate proof ( if claiming true ) or counter - example ( if claiming false ) . Let A

State true or false and give appropriate proof (if claiming true) or counter-example (if claiming false).
Let A ={a1,..., an} and C ={c1,..., cn}. If a1 prefers c1 the most and c1 also prefers a1 the most, Then any stable matching must match a1 to c1.

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