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Minimum Unique Window

Thinking Mode

Summary

  • •Phase 6 / sliding-window/set
  • •Reasoning-first competitive programming drill

Problem Description

Given an array of n integers, find the minimum length of a contiguous subarray that contains all unique numbers present in the whole array. How to read this problem in plain language: - This is a Phase 6 reasoning drill focused on sliding-window/set. - Typical lenses to test first: sliding-window, unique, set. - Constraints reminder: 1 ≤ n≤2×105, 1 ≤ ai​≤109 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≤2×105, 1 ≤ ai​≤109

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.

sliding-windowuniquesetarray
sliding-windowuniquesetarray