What technique is commonly used to optimize the 'Find' operation in Disjoint Set Union?
Practice Questions
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Q1
What technique is commonly used to optimize the 'Find' operation in Disjoint Set Union?
Binary Search
Path Compression
Merge Sort
Heapify
Path Compression is a technique used to optimize the 'Find' operation by flattening the structure of the tree whenever 'Find' is called.
Questions & Step-by-step Solutions
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Q
Q: What technique is commonly used to optimize the 'Find' operation in Disjoint Set Union?
Solution: Path Compression is a technique used to optimize the 'Find' operation by flattening the structure of the tree whenever 'Find' is called.
Steps: 6
Step 1: Understand that a Disjoint Set Union (DSU) is a data structure that keeps track of a set of elements partitioned into disjoint (non-overlapping) subsets.
Step 2: Know that the 'Find' operation is used to determine which subset a particular element belongs to.
Step 3: Realize that in a basic DSU, the structure can become tall and unbalanced, making the 'Find' operation slow.
Step 4: Learn about Path Compression, which is a technique to make the 'Find' operation faster.
Step 5: When you perform a 'Find' operation, Path Compression flattens the tree structure by making nodes point directly to the root of the tree.
Step 6: This means that the next time you call 'Find' on any of those nodes, it will be much quicker because they are now closer to the root.
