The Universal Product Code (UPC) on most grocery items contains a zero that is printed to the left of the bar code and 10 digits that are printed in two groups of five each below the code. The first five digits represent a manufacturer and the second five digits represent a specific product. To the right of the bar code, a check digit is printed. Write a program that allows the user to enter the five-digit manufacturer code, the five-digit product code, and the check digit. Display the result of a Boolean comparison (0 or 1) that shows whether the check digit is correct according to the following algorithm

a. Sum the second and fourth numbers in the manufacturer code.

b. Sum the first, third, and fifth numbers in the product code.

c. Sum the results of step a and step b, and multiply the total by 3.

d. Sum the first, third, and fifth numbers in the manufacturer code.

e. Sum the second and fourth digits in the product code.

f. Sum the results of steps d and e and add to the result from step c.

g. Take the remainder when the result of step f is divided by 10.

h. Subtract the result of step g from 10. Compare this result to the check digit entered by the user. If the result and check digit are equal (if the Boolean value of the comparison is 1), then the UPC is a valid one.

Save the file as UPC.cpp. After you write the program, test it using UPC values from several grocery items from your home. (Make sure the digit to the left of the bar code is 0- the 0 indicates that the code follows this algorithm.)