A Loading Problem: We are given a set S of n items with weights specified by positive real numbers wi , i=1..n, and a truck with load weight capacity specified by a positive real number L. We want to load the truck with as many items as possible without exceeding its load capacity. That is, we want to find a maximum cardinality subset C S such that the sum of the item weights in C does not exceed the truck load capacity L. (a) Briefly describe an O(n) time algorithm to solve this problem if S is given in sorted order. (b) Describe an O(n) time algorithm to solve this problem if S is given in arbitrary unsorted order. [Hint: use median selection and prune-&-search.]