Hi, This is a Algorthim problem, please help me with this.

Also as for 4c, we only count multiplications, not divisions. More details about 4c: count multiplications to make the problem as specific as possible, but the implicit assumption is that a is some huge number, so multiplications involving a (or the even larger values u, v) are the bottleneck in the computation. Thus we don't worry about the time to compute n/2

Problem 4. What Does This Code Do? You encounter the following mysterious piece of code. Algorithm 1: Mystery Functio Function C(a, n): Return (1,a) Elself n 1: Return (a,a a) ElseIf n is even: Return (u u,u-v) Elself n is odd: Return (u v,v-v) (a) What are the results of C(a, 2), C(a,3), and C(a, 4). You do not need to justify your answers. Solution: (b) What does the code do in general? Prove your assertion by induction on n Solution: (c) In this problem you will analyze the running time of C as a function of n. Prove that, for every ne IN, the number of multiplication operations performed in evaluating C(a, n) is at most 2log2n+1