Remark: When you are asked to design an algorithm, please provide a pseudo$-$code description akin to those we have seen in the class. To get full points for the running time analysis, you need to argue how to simulate your pseudo$-$code in the desired time.

Grading: The assignment is worth $5$ points.

Problem $1$ If $f$ is $O(g),$ then cf is $O(g)$ for any constant $c>0.$

$(1$ point$)$