A prime number is an integer greater than 0 that has exactly 2 different factors, 1 and itself. A composite number is a positive integer that has at least 1 positive divisor other than 1 and itself. For example, 2 and 17 are prime, 4 and 25 are composite.

Create a C++ program that will run in batch mode (read its input from a file from Linux Redirection). The input file will contain a series of integers that could be positive, negative, or zero. The program must do the following:

For each integer read from the file, display (in the form of a nicely formatted table) (see sample below): -the number -if it is positive (greater than 0), the number of factors it has -if it is prime, the word "prime" -if it is composite, the word "composite" -if it is neither prime nor composite, do not display a factor count or a descriptive term

Continue processing integers until the end of file is encountered. After all numbers have been processed, display the number of values in each category with appropriate labels. FORMATTING REQUIREMENTS

-Include labels for each column. -Right justify numbers (assume input values will be >= -100,000,000 and <= 100,000,000). -Left justify the words describing in each number (prime, composite). -DO NOT USED USER DEFINED FUNCTIONS IN THE PROGRAM. The program should consist of whatever loops are necessary (while, for) and should have if statements.

ASSUMPTIONS

-Each value in the data file will be an integer between -100,000,000 and 100,000,000 inclusive and the numbers will be separated by whitespace (blanks or linefeeds). -The input file will not be empty. -The last line of the input file will be terminated by a linefeed.

Sample terminal session: [keys]$ more data4three 17 -2 4 188 0 31 1054 -56 123456 [keys]$ g++ assign.cpp [keys]$ ./a.out < data4three

NUMBER FACTORS CATEGORY 17 2 prime -2 4 3 composite 188 6 composite 0 31 2 prime 1054 8 composite -56 123456 28 composite Primes: 2 Composites: 4 Neither prime or composite: 3