The quiz is based on multiplying two positive integers a and b, that is compute ab. From elementary mathematics a b can be found by adding b to itself a times. a. b = b + b +...+b (a) Consider the following way to compute ab modeled as follows, consider a copies of many sticks you then sum the number of sticks one at a time. Write the algorithm that computes ab in this manner. It should utilize a nested loop what is the running time of your algorithm (b) Consider the following way to compute ab modeled as follows, express the positive integer b in binary. Consider a copies of binary b and sum these copies. Write the algorithm that computes ab in this manner. It should utilize a nested loop what is the running time of your algorithm (a) Consider the following way to compute ab modeled as expressing both a and b in binary and computing the product using the classical multiplication method Write the algorithm that computes ab in this manner. It should utilize nested loop what is the running time of your algorithm