Treap: A Randomized Binary Search Tree
Learn the implementation of a randomized binary search tree.
The problem with random binary search trees is, of course, that they
are not dynamic. They don’t support the add(x)
or remove(x)
operations
needed to implement the SSet
interface. In this section we describe a
data structure called a Treap
that uses Lemma 1 (from the previous lesson) to implement the SSet
interface.
Note: The name Treap comes from the fact that this data structure is simultaneously a binary search tree and a heap.
Treap overview
A node in a Treap
is like a node in a BinarySearchTree
in that it has
a data value, x
, but it also contains a unique numerical priority, p
, that is
assigned at random:
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