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Majority Element Streams

Thinking Mode

Summary

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

Problem Description

Given Q streams of integers (each up to N elements), report the majority element (if any) for each stream. A majority is an element occurring more than half the times in its stream. How to read this problem in plain language: - This is a Phase 2 reasoning drill focused on Boyer-Moore, Hashing. - Typical lenses to test first: streams, majority, boyer-moore. - Constraints reminder: 1 ≤ Q≤1e4, 1 ≤ N≤1e4, 1 ≤ L≤N, 1 ≤ element≤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 ≤ Q≤1e4, 1 ≤ N≤1e4, 1 ≤ L≤N, 1 ≤ element≤1e9

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.

streamsmajorityboyer-moore
streamsmajorityboyer-moore