Which of the following scenarios is best suited for using Disjoint Set Union?
Practice Questions
1 question
Q1
Which of the following scenarios is best suited for using Disjoint Set Union?
Finding the maximum element in an array
Detecting cycles in a graph
Sorting a list of numbers
Searching for an element in a linked list
Disjoint Set Union is best suited for detecting cycles in a graph, as it efficiently manages connected components.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following scenarios is best suited for using Disjoint Set Union?
Solution: Disjoint Set Union is best suited for detecting cycles in a graph, as it efficiently manages connected components.
Steps: 5
Step 1: Understand what Disjoint Set Union (DSU) is. It is a data structure that keeps track of a set of elements partitioned into disjoint (non-overlapping) subsets.
Step 2: Learn that DSU is used to manage connected components in a graph. A connected component is a subset of a graph where any two vertices are connected to each other by paths.
Step 3: Recognize that one of the main applications of DSU is to detect cycles in a graph. A cycle occurs when you can start at a vertex and return to it by following edges without retracing any edge.
Step 4: Realize that when adding edges to a graph, if you find that two vertices are already in the same connected component (using DSU), it means adding that edge would create a cycle.
Step 5: Conclude that the best scenario for using Disjoint Set Union is when you need to efficiently check for cycles while managing connected components in a graph.
