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CustomCC0-1.0#cptp0121700

Tree Path Divisor Query

Thinking Mode

Summary

  • •Phase 4 / tree_queries, offline_processing
  • •Reasoning-first competitive programming drill

Problem Description

Given a tree with n nodes, each labeled with an integer, answer q queries (u, v, k): does any node label on the path from u to v divide k? How to read this problem in plain language: - This is a Phase 4 reasoning drill focused on treeq​ueries, offlinep​rocessing. - Typical lenses to test first: trees, queries, divisibility. - Constraints reminder: 1 ≤ n,q≤1e5, 1 ≤ ai,k≤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 ≤ ai,k≤1e9

Analysis

Key Insight

The goal is to force explicit intermediate reasoning before revealing more.

treesqueriesdivisibilityoffline
treesqueriesdivisibilityoffline