Quick Summary
- Connect K disjoint node groups into a spanning tree using exactly K-1 undirected edges.
- Must uniformly sample every valid concrete edge set where edges are specific node pairs.
- Requires abstracting group connectivity, generating a weighted tree structure, and mapping back to individual nodes.
What This Tests
- Spanning tree construction and tree encoding techniques
- Weighted random sampling and probability theory
- Combinatorial enumeration and uniform distribution validation
- Priority queue usage for efficient tree decoding
Common Patterns
Heap / Priority Queue
Greedy
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