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What is the time complexity of the Wagner–Fischer algorithm where “m” and “n” are the lengths of the two strings?

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What is the time complexity of the Wagner–Fischer algorithm where “m” and “n” are the lengths of the two strings?

(a) O(1)

(b) O(n+m)

(c) O(mn)

(d) O(nlogm)

The question was asked in quiz.

My doubt stems from Wagner-Fischer Algorithm in chapter Dynamic Programming of Data Structures & Algorithms II

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The correct answer is (c) O(mn)

The best I can explain: The time complexity of the Wagner–Fischer algorithm is O(mn).

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