Suppose there is a group of n people, and each person is aware of a scandal no one else knows about. when two people communicate by telephone, they both know about all the scandals each knows about at that given time. let g(n) be the smallest number of phone calls needed so that everyone knows about all the scandals. show that gan) 4. (it can actually be shown that g(n) = 2n - 4, but the proof is much harder.)