Max Heap: Introduction
Explore the core concepts of Max Heap structures and their applications in efficient sorting and priority queues. Understand how to build a Max Heap, insert new elements, and remove the maximum element while preserving the heap property. This lesson provides step-by-step algorithms and visual demonstrations to help you implement Max Heaps effectively using C++.
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Building a Max-Heap
As mentioned in the previous lesson, Max Heaps follow the Max Heap property, which means that the key at the parent node is always greater than the keys at the child nodes. Heaps can be implemented using lists. Initially, elements are placed in nodes in the same order as they appear in the list. Then a function is called over the whole heap in a bottom-up manner that “Max Heapifies” or “percolates up” on this heap so that the heap property is restored. The “Max Heapify” function is bottom-up because it starts comparing and swapping parent-child key values from the last parent (at the ...