Write an entire C$++$ program that reads a positive integer entered by an interactive user and then prints out all the positive divisors of that integer in a column and in decreasing order. The program should allow the user to repeat this process as many times as the user likes. Initially, the program should inform the user about how the program will behave. Then the program should prompt the user for each integer that the user wishes to enter.

The program may be terminated in any of two ways. One way is to have the program halt if the user enters an integer that's negative or zero. In this case the user should be reminded with each prompt that the program can be terminated in that way. Alternatively, after an integer has been entered and the divisors have been printed, the program can ask the user whether he$/$she wishes to enter another integer. In this case, when the user accidentally enters a zero or negative integer to have its divisors calculated, the program should inform the user that the input is unacceptable and should allow the user to try again $($and again!$).$

Here is an illustration of how the program and the interactive user might interact. The user's responses to the program are shown in bold italics.

This program is designed to exhibit the positive divisors

of positive integers supplied by you. The program will

repeatedly prompt you to enter a positive integer. Each

time you enter a positive integer, the program will print

all the divisors of your integer in a column and in

decreasing order.

Please enter a positive integer: $36$

$36$

$18$

$12$

$9$

$6$

$4$

$3$

$2$

$1$

Would you like to see the divisors of another integer

$(\frac{Y}{N})?y$

Please enter a positive integer: $-44$

$-44$ is not a positive integer.

Please enter a positive integer: $0$

$0$ is not a positive integer.

Please enter a positive integer: $109$

$109$