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CustomCC0-1.0#cptp0201500

Longest Subarray with Limited Changes

Thinking Mode

Summary

  • •Phase 4 / sliding_window, frequency_map
  • •Reasoning-first competitive programming drill

Problem Description

Given an array of n integers and an integer k, find the length of the longest subarray where you can change at most k elements to any value to make all elements equal. How to read this problem in plain language: - This is a Phase 4 reasoning drill focused on slidingw​indow, frequencym​ap. - Typical lenses to test first: sliding-window, arrays, frequency. - Constraints reminder: 1 ≤ n≤2e5, 0 ≤ k≤n, 1 ≤ ai≤1e9 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≤2e5, 0 ≤ k≤n, 1 ≤ ai≤1e9

Analysis

Key Insight

The goal is to force explicit intermediate reasoning before revealing more.

sliding-windowarraysfrequency
sliding-windowarraysfrequency