CustomCC0-1.0#P008-8451800
Tree Path Maximum After Pruning
Summary
- •Phase 5 / trees/pruning/path_max
- •Reasoning-first competitive programming drill
Problem Description
Given a rooted tree with N nodes where each node has a value, you may remove up to K leaves. What is the maximal sum of a path from the root to any remaining leaf in the pruned tree?
How to read this problem in plain language:
- This is a Phase 5 reasoning drill focused on trees/pruning/pat.
- Typical lenses to test first: tree, greedy, pruning.
- Constraints reminder: 2 ≤ 0 ≤ 1 ≤ V[i] ≤ 10^9
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 ≤ 0 ≤ 1 ≤ V[i] ≤ 10^9
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.
treegreedypruning