String / Sliding Window•Pattern: Sliding Window•Medium

Minimum window substring containing all chars of T

Problem Intuition & Objective

Find the smallest window in S that contains every character in T.

Time ComplexityO(|S| + |T|)
Optimal
Space ComplexityO(|S| + |T|)
Memory Bounds
Optimal Algorithmic Approach

Two-pointer sliding window with frequency maps and a 'formed' count.

Core Invariants & Edge Cases

  • Maintain frequency maps for T and the current window
  • Expand right until all T chars are covered, then contract left
  • Track 'formed' counter to know when all required chars are present
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