Optimize Quick Sort with in-place partitioning and hybrid approach#13628
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faizan842 wants to merge 1 commit intoTheAlgorithms:masterfrom
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Optimize Quick Sort with in-place partitioning and hybrid approach#13628faizan842 wants to merge 1 commit intoTheAlgorithms:masterfrom
faizan842 wants to merge 1 commit intoTheAlgorithms:masterfrom
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…ions - Add in-place partitioning using Hoare scheme (O(1) extra space vs O(n)) - Implement median-of-three pivot selection for better performance - Add hybrid approach with insertion sort for small arrays (< 10 elements) - Add optimized quick_sort_optimized() function with all improvements - Keep original quick_sort() for backward compatibility - Add comprehensive doctests for new optimized function Performance improvements: - Memory usage: O(1) vs O(n) extra space - Better pivot selection reduces worst-case scenarios - Hybrid sorting improves performance on small arrays - More efficient partitioning algorithm All tests pass and maintain backward compatibility.
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This PR optimizes quicksort by adding in-place Hoare partitioning, median-of-three pivot selection, and a hybrid insertion sort for small partitions. Adds doctests and preserves backward compatibility by keeping the original API.