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45 people {a1, a2,.....,a45} meet and shake hands in a circular fashion. In other words, there are totally 45 handshakes involving the pairs
{a1,a2},{a2,a3},......{a44,a45},{a45,a1}. Then the size of the
smallest set of people such that the rest have shaken hands with at
least one person in the set is
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- n/3
so 45/3=15
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