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CustomCC0-1.0#cp0152100

Weighted Tree Diameter with Forbidden Vertices

Thinking Mode

Summary

  • •Phase 6 / tree, dfs, component, diameter
  • •Reasoning-first competitive programming drill

Problem Description

Given a tree with n nodes and weights on edges, and a set S of forbidden nodes, compute the diameter of the tree induced after removing all forbidden nodes. How to read this problem in plain language: - This is a Phase 6 reasoning drill focused on tree, dfs, component, diameter. - Typical lenses to test first: tree, diameter, dfs. - Constraints reminder: 2 ≤ n≤2e5; 0 ≤ s<n; 1 ≤ w≤1e6 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

  • •
    2 ≤ n≤2e5; 0 ≤ s<n; 1 ≤ w≤1e6

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.

treediameterdfscomponent
treediameterdfscomponent