Question: You have a randomized computer algorithm. It takes as input a seed and then runs deterministically based upon that seed. There are 2^16 possible seeds.

You have a randomized computer algorithm. It takes as input a seed and then runs deterministically based upon that seed. There are 2^16 possible seeds. How many times do you need to run the program before the odds of having two identical computations exceed 1/2? If each computation takes 1 day and the human lifespan is about 80 years, how many seeds would you need to expect that you would never see two identical executions?

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