Suppose you want to find the largest entry in an unsorted array of n entries. Algorithm A searches the entire array sequentially and records the largest entry seen so far. Algorithm B sorts the array into descending order and then reports the first entry as the largest. Compare the time efficiency of the two approaches.
Consider the method insertInOrder, as given in Segment 8.11, that inserts an object into its correct position within a sorted portion of an array. If we were to use a similar algorithm to insert a node into a sorted chain of linked nodes, we would begin at the end of the chain. For example, to insert a node containing 6 into the chain shown in Figure 8-9, we first would compare 6 with the integer 10. Since 6 belongs before 10, we would then compare 6 with 8. Since 6 belongs before 8, we compare 6 with 5 and discover that 6 belongs between 5 and 8. Describe how you could use this algorithm to define a method insertInOrder for a sorted chain of linked nodes.
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