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Solution: Interleaving String

Understand how to use dynamic programming to check if a string can be formed by interleaving two given strings while preserving character order. This lesson teaches you an optimized method using a 1D dynamic programming array to solve the problem efficiently, focusing on space and time complexity tradeoffs.

Statement

You’re given three strings: s1, s2, and s3. Your task is to determine whether s3 can be formed by interleaving s1 and s2.

Interleaving means you take both strings and break them into smaller pieces (substrings), then merge those pieces while preserving the left-to-right order of characters within each original string.

The final mixed string might look like any of the following:

  1. s11+s21+s12+s22+s1_1 + s2_1 + s1_2 + s2_2 + \dots ...