Derive the probability that we waste our time

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Question: Suppose that we use three random elements from S. If all three have ranks that are outside of the [ n , 3n ] range, we just declare that we wasted our time, and pick three new random 44 elements (this means repeats are possible). Otherwise, we use the element (among those three) with rank closest to the median, as a pivot to partition, and then recurse as usual.

Derive the probability that we waste our time, given our choice of three elements.

Reference no: EM133218577

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