CustomCC0-1.0#P012-9911500
Minimum Cost Even-Odd Matching
Summary
- •Phase 4 / greedy/matching/abs_sum
- •Reasoning-first competitive programming drill
Problem Description
Given two arrays, A (length N, all even) and B (length N, all odd), pair each element of A with an element of B (each used once) to minimize the sum of absolute differences. Output the minimal sum.
How to read this problem in plain language:
- This is a Phase 4 reasoning drill focused on greedy/matching/ab.
- Typical lenses to test first: greedy, matching, sorting.
- Constraints reminder: 1 ≤ 0 ≤ A[i], B[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
- •1 ≤ 0 ≤ A[i], B[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.
greedymatchingsorting