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Interleaving Strings

Explore dynamic programming strategies to solve the interleaving strings problem. This lesson guides you through naive recursive and optimized DP solutions, including memoization and bottom-up approaches. Learn to verify if a string can be formed by interleaving two others while preserving character order, enhancing problem-solving skills for technical interviews.

Statement

Given strings s1, s2, and s3, find whether an interleaving of s1 and s2 forms s3.

An interleaving of two strings a and b is a configuration where a and b splits into nn and mm substrings, respectively, such that:

  • a =a1= a_{1} + a2a_{2} + … + ana_{n}
  • b =b1= b_{1} + b2b_{2} + … + bmb_{m}
  • nm1\left | n - m \right | \leqslant 1
  • The interleaving can follow either of the following two formats:
    • a1+b1+a2+b2+a3+b3+...a_{1} + b_{1} + a_{2} + b_{2} + a_{3} + b_{3} + ...
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