Explanation
- The **Disjoint-set** (or **Union-Find**) data structure is used to efficiently manage a collection of disjoint sets. It supports two main operations: **find** (finding the representative or leader of a set) and **union** (merging two sets).
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Steps
- Find operation: Find the representative (or parent) of an element, typically using path compression for efficiency.
- Union operation: Combine two sets by linking the root of one set to the root of the other, using union by rank or size for efficiency.
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Time Complexity
- Time complexity: O(α(n)), where α is the inverse Ackermann function, which grows extremely slowly, almost constant for all practical purposes.