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What is Kth Smallest Element Algorithms about?

The document discusses algorithms for finding the kth smallest element in an unsorted array. It begins by describing a naive sorting-based approach with O(n log n) time complexity. It then presents a randomized selection algorithm that has average case O(n) time but worst case O(n^2) time. To improve this, it introduces a deterministic "medians of medians" algorithm that partitions the array in a way that guarantees O(n) time even in the worst case. It works by recursively selecting a median-of-medians pivo

Author

ShadabSalam

Language

EN