Binary gossip tree. You told a secret to two of your friends. Then they each told two of their friends. Then those friends each told two of their friends. And then those friends each told two of their friends. Model this gossip trail with a graph, using vertices for the people and an edge between each two people who shared the secret. (Assume there are no repeated people amongst all the friends.) How many people hear the secret in the last stage of this process? In all, how many now know the secret?
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