CustomCC0-1.0#P002-4312000
Maximal XOR Connected Subgraph
Summary
- •Phase 5 / graphs/xor/connected_subgraph
- •Reasoning-first competitive programming drill
Problem Description
Given an undirected graph with N nodes and M edges (edges with positive weights), find the maximal XOR-sum achievable by choosing a connected subgraph (can be a single node).
How to read this problem in plain language:
- This is a Phase 5 reasoning drill focused on graphs/xor/connecte.
- Typical lenses to test first: XOR, graph, subgraph.
- Constraints reminder: 1 ≤ 1 ≤ )/2; 1 ≤
Mini examples for mental simulation:
1) Boundary example: Describe why this case is tricky. Explain expected behavior and why naive logic may fail.
2) Adversarial example: Adversarial case where naive greedy/local decision looks correct but fails globally.
Lite-mode writing target:
- Write 1~2 observations that shrink the search space.
- Name one final algorithm and state target complexity explicitly.
- Validate with at least 2 edge cases and one hand simulation.
Constraints
- •1 ≤ 1 ≤ )/2; 1 ≤
Analysis
Key Insight
Use this hint to refine your reasoning. This step should reduce search space or formalize correctness. State why this insight changes your algorithm choice.
XORgraphsubgraph