CustomCC0-1.0#P011-2872000
Maximal Sum Partition with Constraints
Summary
- •Phase 5 / binary_search/greedy/partition
- •Reasoning-first competitive programming drill
Problem Description
You are given an array of N integers and a positive integer K. Partition the array into at most K contiguous subarrays such that the minimal sum among all segments is maximized.
How to read this problem in plain language:
- This is a Phase 5 reasoning drill focused on binar/greedy/partition.
- Typical lenses to test first: binary search, greedy, partition.
- Constraints reminder: 1 ≤ 1 ≤ ≤ 10^4
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 ≤ ≤ 10^4
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.
binary searchgreedypartition