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(a) It is well known that in a room of n people, the probability that at least two of them have the same birthday is

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(a) It is well known that in a room of n people, the probability that at least two of them have the same birthday is over 1/2 if n>23, which is a phenomenon known as the birthday paradox. Suppose, then, that you have a list of n people and their birthdays. Describe a way, in O(n) expected time, to test whether two of the people on this list have the same birthday

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