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10.3 Advanced Sorting Methods
While basic sorting algorithms are useful for learning, they are inefficient for large
datasets. Advanced sorting algorithms overcome these limitations by using more
sophisticated strategies, often achieving time complexity of ( log ). These algorithms are
widely used in practice because they balance efficiency and scalability.
The three most important advanced sorting algorithms are Merge Sort, Quick Sort,
and Heap Sort. Each uses a different approach, but all provide significant improvements over
simple methods.
10.3.1 Merge Sort (Divide and Conquer)
Merge Sort is based on the divide and conquer paradigm. The array is recursively
divided into two halves until each subarray contains a single element. Then, the subarrays are
merged back together in sorted order. Merge Sort guarantees ( log )performance in all
cases but requires extra memory for merging.
Example: Merge Sort in C++
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