Since a heap is a binary search tree, there is only one correct location for the insertion of a new node, and that is either the next open position from the left at level h or the first position on the left at level h+1 if level h is full.

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A heap is a specialized tree-based data structure that satisfies the heap property, but it is not a binary search tree. In a binary heap, elements are added based on the heap property (either max-heap or min-heap) and not in a specific order like in a binary search tree. The insertion location is determined by maintaining a complete tree, typically by adding the new element to the next available position at the bottom level from left to right, and then the heap property is restored by "heapifying" if necessary.

Since a Heap Is a Binary Search Tree, There Is