Suppose you use the same method to calculate X $\backslash$times Y $,$ where X and Y are both n$-$digit

numbers. Assume that multiply two single$-$digit numbers takes O$(1),$ as does addition of $2-3$

single digit numbers, as does extracting the tens and units digits of a two$-$digit number.

What is the asymptotic running time, in terms of n$,$ of multiplying two n$-$digit numbers using

the method you used for the first question? In $1-2$ sentences, explain why.