Algorithm Question:

For each of the following a - eproblems, design (or give) an algorithm. Based on your obtained algorithm, give (i) a natural size metric for its inputs; (ii) its basic operation; (iii) whether the basic operation count can be different for inputs of the same size; and (iv) What is the efficiency class of this algorithm:

Q1: Please cutting a stick:A sticks n inches long needs to be cut into n1-inch pieces. Outline an algorithm that performs this task with the minimum number of cuts if several pieces of the stick can be cut at the same time. Also give a formula for the minimum number of cuts and Merge sort.