Consider the sequence alignment problem over a four letter alphabet z 1 ,z 2 ,z 3 ,z 4 , with a given gap cost and given mismatch costs Assume that each of these parameters is a positive integer Suppose you are given two strings A a 1 a 2 a m and B b 1 b 2 b n and a proposed alignment between them Give an O(mn) algorithm to decide whether this alignment is the unique minimum cost alignment between A and B Please give explanation This is problem 6 18 from Algorithm Design by John Kleinberg, Eva Tardos

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Question: Consider the sequence alignment problem over a four-letter alphabet {z 1 ,z 2 ,z 3 ,z 4 }, with a given gap cost and given

Consider the sequence alignment problem over a four-letter alphabet {z₁,z₂,z₃,z₄}, with a given gap cost and given mismatch costs. Assume that each of these parameters is a positive integer.

Suppose you are given two strings A = a₁a₂...a_m and B = b₁b₂...b_n and a proposed alignment between them. Give an O(mn) algorithm to decide whether this alignment is the unique minimum-cost alignment between A and B. Please give explanation.

This is problem 6.18 from Algorithm Design by John Kleinberg, Eva Tardos.

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