Question: I need help on this question. Please provide the solution with explaination. Thank you! LCS algorithm gives a way to decide how similar two given

I need help on this question. Please provide the solution with explaination. Thank you!

I need help on this question. Please provide the solution with explaination.

LCS algorithm gives a way to decide how similar two given strings are. However, sometimes, we have to filter away some common subsequences that are in some pattern. Here is a problem for you to solve. Given two strings alpha and beta, let gamma to be a longest word satisfying all of the following conditions: gamma is a subsequence of alpha; gamma is a subsequence of beta; gamma does not contain abb. Design an algorithm that finds such a gamma for any given alpha and beta. Also, analyze its complexity

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