Question: You have a randomized computer algorithm. It takes as input a seed and then runs deterministically based upon that seed. There are 216 possible seeds.

You have a randomized computer algorithm. It takes as input a seed and then runs deterministically based upon that seed. There are 216 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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