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CustomCC0-1.0#cp0042300

Tree Path Maximum Excluding Subtree

Thinking Mode

Summary

  • •Phase 6 / tree, path query, exclusion subtree
  • •Reasoning-first competitive programming drill

Problem Description

Given a tree with n nodes (rooted at 1), each node has a value. For each query (u, v), find the maximum value along the path from u to v, except for the subtree rooted at node x provided in the query. How to read this problem in plain language: - This is a Phase 6 reasoning drill focused on tree, path query, exclusion subtree. - Typical lenses to test first: tree, lca, path. - Constraints reminder: 1 ≤ n, q≤1e5; 1 ≤ value≤1e9 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 ≤ n, q≤1e5; 1 ≤ value≤1e9

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.

treelcapathsubtree exclusion
treelcapathsubtree exclusion