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Implementation and Analysis of Heap Sort, Quick Sort, and Merge Sort

Heap Sort Heap sort operates on a heap data structure. The key steps involve heap construction and sorting. Heap Construction Heap construction involves building either a max-heap (for ascending order) or min-heap (for descending order). The process uses a downward adjustment method starting from th...

In-Place Heap Sorting Strategies and Top-K Element Extraction

Binary Heap Sorting Fundamentals Heap-based ordering relies on the binary tree property to organize sequences efficiently. The algorithm operates in two distinct phases: initial heap construction followed by iterative extraction. The chosen heap variant determines the final sequence direction: const...