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Special Palindrome Split

Thinking Mode

Summary

  • •Phase 1 / strings, palindrome, prefix_suffix
  • •Reasoning-first competitive programming drill

Problem Description

Given a string of length n, split it into two non-empty substrings such that both are palindromes. What is the minimal possible length of the longer substring? How to read this problem in plain language: - This is a Phase 1 reasoning drill focused on strings, palindrome, prefixs​uffix. - Typical lenses to test first: strings, palindrome, split. - Constraints reminder: 2 ≤ n≤3×105, s consists of lowercase 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

  • •
    2 ≤ n≤3×105, s consists of lowercase 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.

stringspalindromesplitmanacher
stringspalindromesplitmanacher