In the context of Disjoint Set Union, what does the 'Union by Rank' optimization do?
Practice Questions
1 question
Q1
In the context of Disjoint Set Union, what does the 'Union by Rank' optimization do?
It merges two sets based on their size
It keeps track of the height of trees to minimize depth
It sorts the elements in each set
It finds the maximum element in a set
The 'Union by Rank' optimization keeps track of the height of trees to minimize depth, ensuring that the smaller tree is always added under the root of the larger tree.
Questions & Step-by-step Solutions
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Q
Q: In the context of Disjoint Set Union, what does the 'Union by Rank' optimization do?
Solution: The 'Union by Rank' optimization keeps track of the height of trees to minimize depth, ensuring that the smaller tree is always added under the root of the larger tree.
Steps: 5
Step 1: Understand that Disjoint Set Union (DSU) uses trees to represent sets.
Step 2: Each tree has a root, and the height of the tree is called its 'rank'.
Step 3: When we want to combine two sets (or trees), we need to connect their roots.
Step 4: 'Union by Rank' means we always attach the shorter tree under the root of the taller tree.
Step 5: This keeps the overall height of the trees smaller, making future operations faster.
