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Minimum Lexicographic Merge

Thinking Mode

Summary

  • •Phase 5 / heap, lex order, merge
  • •Reasoning-first competitive programming drill

Problem Description

Given k sorted arrays of integers, merge them into a single array of size n (sum of lengths), such that the merged array is lexicographically minimal. How to read this problem in plain language: - This is a Phase 5 reasoning drill focused on heap, lex order, merge. - Typical lenses to test first: heap, merge, lexicographic. - Constraints reminder: 1 ≤ k≤2e4; 1 ≤ li​≤2e4; sum li​≤2e5 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 ≤ k≤2e4; 1 ≤ li​≤2e4; sum li​≤2e5

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.

heapmergelexicographic
heapmergelexicographic