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CustomCC0-1.0#P0151500

Unordered Pair Palindromic Concatenation

Thinking Mode

Summary

  • •Phase 2 / String, Hashing
  • •Reasoning-first competitive programming drill

Problem Description

Given a set of N distinct strings, count the number of unordered pairs (i, j) (i<j) such that the concatenation S[i]+S[j] is a palindrome. How to read this problem in plain language: - This is a Phase 2 reasoning drill focused on String, Hashing. - Typical lenses to test first: string, palindrome, hash. - Constraints reminder: 1 ≤ N≤2000, 1 ≤ ∣S[i]∣ ≤ 10 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≤2000, 1 ≤ ∣S[i]∣ ≤ 10

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.

stringpalindromehash
stringpalindromehash