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Given two n-bit numbers a, b, computes a * b in time O(n^1.1). Now a and b are kn-bit, design an algorithm that computes a

Given two n-bit numbers a, b, computes a * b in time O(n^1.1). Now a and b are kn-bit, design an algorithm that computes a * b in time O(kn^1.1 ). Explain why the algorithm is correct, and prove the guarantee on the runtime.

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