# Java data Sturcture Searching and Sorting

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Guidelines

Please follow the guidelines below:

Submit the homework and lab solutions in the drop box. For a programming question,

submit a .java file (for source code) and a .txt file for program output. If the problem

involves other questions, submit a separate .txt file to answer the question.

P1 (20 points)

Implement a binary search of an array iteratively using the methodpublic

static <T extends Comparable<? super T>> booleaninArrayIterativeSorted(T[]

anArray, T anEntry)

P2 (30 points)

Consider an array data of n numerical values in sorted order and a list of numerical target

values (target values are not necessarily sorted). Your goal is to compute the smallest range of

array indices that contains all of the target values. If a target value is smaller than data[0], the

range should start with -1. If a target value is larger than data[n – 1], the range should end with

n.

For example, given the array [ 5 8 10 13 15 20 22 26] and the target values (8, 2, 9, 17), the

range is -1 to 5.

1. Devise an efficient algorithm that solves this problem and implement it in

public static <T extends Comparable<? super T>>

Interval findInterval(T[] sortedData, List<T> targetValues)

where Interval is a class that provides two public methods getLower() and getUpper() to return

the lower and upper values of an Interval object. Implement the Interval class.

2. If you have n data values in the array and m target values in the list, what is the Big Oh

performance of your algorithm?

P3 (20 points)

Write the java code for the method

pubic static <T extends Comparable<? super T>> boolean isSorted(T[ ] a)

which returns true if the array a is in sorted in ascending order. The code must run in O(n) time.

P4 (30 points)

Consider a revised selection sort algorithm so that on each pass it finds both the largest and

smallest values in the unsorted portion of the array. The sort then moves each of these values

into its correct location by swapping array entries.

1. Implement the modified selection sort using the method

public static <T extends Comparable<? super T>> void modifiedSelectionSort(T[] a, int n)

2. How many comparisons are necessary to sort n values?