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Minimal Lexicographic Rotation After Swaps

Thinking Mode

Summary

  • •Phase 2 / greedy, strings
  • •Reasoning-first competitive programming drill

Problem Description

Given a string S of length N, you can swap any two adjacent characters at most once each. What is the lexicographically smallest string you can obtain? How to read this problem in plain language: - This is a Phase 2 reasoning drill focused on greedy, strings. - Typical lenses to test first: greedy, strings, sorting. - Constraints reminder: 1 <= N <= 1e5; S contains only lowercase Latin letters. 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 <= 1e5; S contains only lowercase Latin letters.

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.

greedystringssorting
greedystringssorting