Heap Sort using Min Heap Tree with Example | Data Structure
Heap Sort using Max Heap Tree
• Heap Sort using Max Heap Method | Data St...
Heap sort using a min-heap is a variation of the heap sort algorithm that employs a min-heap data structure rather than a max-heap. In a *min-heap*, the smallest element is always at the root, and every parent node is smaller than its child nodes. The algorithm sorts the input array by repeatedly extracting the root (smallest element) and placing it into the sorted portion of the list.
How it works:
1. Build a Min-Heap:
The first step is to rearrange the input array into a min-heap. This ensures that the smallest element of the array is at the root (the first position).
2. Extract the Root Element:
The root element (smallest element) is removed and swapped with the last element in the heap (i.e., the element at the end of the array). This effectively places the smallest element in its final position at the end of the array.
3. Reheapify:
After swapping, the heap size is reduced by one (since the smallest element is now sorted), and the heap property is restored by "heapifying" the root (i.e., making sure the smallest element is at the root again).
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