CustomCC0-1.0#ct-p3-011800
Minimum Palindromic Cuts with Cost
Summary
- •Phase 3 / classic-dp
- •Reasoning-first competitive programming drill
Problem Description
Split string into palindromic pieces. Each cut has cost depending on position. Minimize total cost.
How to read this problem in plain language:
- This is a Phase 3 reasoning drill focused on classic-dp.
- Typical lenses to test first: dp, string, transition-design.
- Constraints reminder: |s| <= 5000
Mini examples for mental simulation:
1) Boundary example: No cuts needed. Explain expected behavior and why naive logic may fail.
2) Adversarial example: Every char alone; many cuts. Explain expected behavior and why naive logic may fail.
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
- •|s| <= 5000
Analysis
Key Insight
Cost depends on cut position; global DP required.
dpstringtransition-design