, 20.08.2019 00:00, ridhima37

# Let 0< < .5 be some constant. consider running the partition subroutine on an array with no duplicate elements and with the pivot element chosen uniformly at random (as in quicksort and rselect). what is the probability that, after partitioning, both subarrays (elements to the left of the pivot, and elements to the right of the pivot) have size at least \alpha times that of the original array?

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