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

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What is the space complexity of the above implementation of 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 by my school principal while I was bunking the class.

My question comes from Wagner-Fischer Algorithm topic in section Dynamic Programming of Data Structures & Algorithms II

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Correct answer is (c) O(mn)

Best explanation: The space complexity of the above Wagner–Fischer algorithm is O(mn).

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