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Solution: Minimum Window Subsequence

Explore how to solve the minimum window subsequence problem by implementing a sliding window technique. Understand a step-by-step solution that efficiently locates the shortest substring in which all characters of a second string appear in order, without unnecessary space use. This lesson guides you through forward and backward scanning methods to optimize substring search and provides insight into time and space tradeoffs.

Statement

Given two strings, s1 and s2, find and return the shortest substring of s1 in which all the characters of s2 appear in the same order, but not necessarily next to each other (i.e., s2 should be a subsequence of the substring).

If no such substring exists, return an empty string "". If there are multiple shortest substrings, return the one that appears first in s1 (i.e., with the left-most starting index).

Note:substring is a contiguous sequence of characters within a string. A subsequence is a sequence of characters that can be derived from a string by deleting some characters without changing the order of the remaining characters. For example, “edu” is a substring and “cave” is a subsequence of “educative.”

Constraints:

  • 11 \leq s1.length 2×103\leq 2 \times 10^{3}

  • 11 \leq ...