Question: In the linear time selection algorithm, what if we just take any n/5 elements, find the median of these elements recusrively, and use this element

In the linear time selection algorithm, what if we just take

In the linear time selection algorithm, what if we just take any n/5 elements, find the median of these elements recusrively, and use this element as a pivot to partition the input array. We can then recurse on a subproblem based on the rank of the pivot in the input array. Will this modification also run in linear time? If so, analyze. If not, justify why

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