In a Disjoint Set Union, what does the 'find' operation return?

Practice Questions

Q1
In a Disjoint Set Union, what does the 'find' operation return?
  1. The size of the set
  2. The representative of the set
  3. The number of elements in the set
  4. The depth of the tree

Questions & Step-by-Step Solutions

In a Disjoint Set Union, what does the 'find' operation return?
  • Step 1: Understand that a Disjoint Set Union (DSU) is a data structure that keeps track of a collection of disjoint (non-overlapping) sets.
  • Step 2: Each set in the DSU has a unique representative or leader, which is an element that identifies the set.
  • Step 3: The 'find' operation is used to determine which set a specific element belongs to.
  • Step 4: When you perform the 'find' operation on an element, it returns the representative (or leader) of the set that contains that element.
  • Step 5: This representative can be used to check if two elements are in the same set or to merge sets.
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