Which of the following scenarios is best suited for using a Disjoint Set Union?
Practice Questions
1 question
Q1
Which of the following scenarios is best suited for using a 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 sorted array
Disjoint Set Union is particularly useful for detecting cycles in a graph, as it can efficiently manage and merge sets of connected components.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following scenarios is best suited for using a Disjoint Set Union?
Solution: Disjoint Set Union is particularly useful for detecting cycles in a graph, as it can efficiently manage and merge sets of connected components.
Steps: 5
Step 1: Understand what a Disjoint Set Union (DSU) is. It is a data structure that keeps track of a collection of disjoint (non-overlapping) sets.
Step 2: Recognize that DSU is useful for managing groups of items that can be merged together.
Step 3: Identify that one of the main applications of DSU is in graph theory, particularly for detecting cycles.
Step 4: Realize that when adding edges to a graph, DSU can help check if two vertices are already connected (which would indicate a cycle if you try to connect them again).
Step 5: Conclude that scenarios involving graph connections, such as checking for cycles or merging connected components, are best suited for using a Disjoint Set Union.
