MeldableHeap: A Randomized Meldable Heap
Learn about the meldable heap and its operations.
We'll cover the following
Here, we describe the MeldableHeap
, a priority Queue
implementation in which the underlying structure is also a heap-ordered binary tree. However, unlike a BinaryHeap
in which the underlying binary tree is completely defined by the number of elements, there are no restrictions on the shape of the binary tree that underlies a MeldableHeap
; anything goes.
Operation in MeldableHeap
The add(x)
and remove()
operations in a MeldableHeap
are implemented in terms of the merge(h1, h2)
operation. This operation takes two heap nodes h1
and h2
and merges them, returning a heap node that is the root of a heap that contains all elements in the subtree rooted at h1
and all elements in the subtree rooted at h2
.
The nice thing about a merge(h1, h2)
operation is that it can be defined
recursively. See the figure below:
Create a free account to access the full course.
By signing up, you agree to Educative's Terms of Service and Privacy Policy