Explanation
- **Union-Find** is a data structure that is used to keep track of a collection of disjoint sets.
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- It supports two main operations:
- **Find**: Determines which set a particular element belongs to.
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- **Union**: Merges two sets into a single set.
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- Union-Find is widely used in algorithms like **Kruskal's Minimum Spanning Tree** and **connected components in a graph**.
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Steps:
- Find: Use path compression to flatten the tree structure for faster future lookups.
- Union: Use union by rank or size to keep the tree balanced by attaching the smaller tree under the larger tree.
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Time Complexity:
- Find and Union operations are nearly O(1) with path compression and union by rank.