Which of the following statements about Disjoint Set Union is true?
Practice Questions
Q1
Which of the following statements about Disjoint Set Union is true?
It can only handle integer elements
It is not efficient for large datasets
It can efficiently handle dynamic connectivity queries
It requires a fixed number of elements
Questions & Step-by-Step Solutions
Which of the following statements about Disjoint Set Union is true?
Step 1: Understand what Disjoint Set Union (DSU) is. It is a data structure that keeps track of a partition of a set into disjoint (non-overlapping) subsets.
Step 2: Learn that DSU can efficiently answer questions about whether two elements are in the same subset (connected) or not.
Step 3: Recognize that DSU supports two main operations: 'find' (to determine the subset a particular element belongs to) and 'union' (to merge two subsets).
Step 4: Note that DSU is particularly useful in scenarios where the connectivity between elements changes over time, such as in network connectivity problems.
Step 5: Conclude that the statement about DSU efficiently handling dynamic connectivity queries is true, as it is designed for such tasks.