Problem $4$: Write a C$++$ program to print the kaprekar numbers within the range of $1$ to $10000.$ The program should include a "check$\_$kaprekar" function that accepts an integer number as an argument and returns True if the number is kaprekar and False if it is not.

Note: A Kaprekar number is a number whose square can be split into two parts where the sum of the parts equals the original number, and neither part is equal to $0.$

Output sample:

The Kaprekar numbers less than $10000$ are:

$19455599297703,9992223,2728,4879,4950,5050,5292727277779999$

Wregram finished with exit code $0$

Press ENrER to exit console.