Question: Suppose we multiply two n - digit numbers x and y ( in base ten ) using the procedure illustrated by the example above. Assume

Suppose we multiply two n-digit numbers x and y (in base ten) using the procedure illustrated by the example above. Assume that adding or multiplying two single-digit numbers takes \Theta (1) time, while adding k single-digit numbers together takes \Theta (k log k) time. In terms of n, what is the asymptotic (big-\Theta ) running time of this algorithm?

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