Heap Representation in Arrays
The lesson elaborates how to Use Arrays for the Implementation of Heaps.
Heaps can be implemented using Arrays. The contents of a heap with n
nodes are stored in such a way that all the parent nodes occur in the first half of array (n/2
), while the leaves are present at the last n/2
positions. So the last parent will be at the n/2th
position.
The node at the kth position will have its children placed as follows:
- The Left child at 2k+1
- The Right child at 2k+2.
See the figure below to see how nodes are mapped on the array:
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