There are many secret groups in College A.Every student at college A
is a member or these secret group, though membership in one excludes a
student from joining any other group. You wish to determine if any one
of these groups contains more than half of the student population. To
achieve this , you will introduce 2 students to each other: if they
are members of different group , they will smile. If different group ,
they will nod. How to determine if any one group has more than half of
the student population as members in O(n) introductions . And justify
the answer.

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