For this daily, write a program that will calculate and display N$!$ and the number of digits in the factorial. A CPP file $($factorial$\_$digits.cpp$)$ has been provided. It contains the declaration for an integer variable $($N$)$ and code that will ask the user to enter an integer value. Add code that will check the N value for validity. To be valid, the N value must be greater than or equal to $0$ and less than or equal to $12.$ If an invalid N value is entered, display an error message and stop execution of the program. The error message displayed to the user MUST match the message that is displayed in the output below. Print a new line at the beginning and end of the error message. For a valid N value, write a loop to calculate N$!.$ Remember that N$!$ is equal to the product of the values from $1$ through N for all N values that are greater than or equal to $1.$ For N equal to $0,0!$ Is equal to $1.$ Once the factorial has been calculated, write code that will count the number of digits in the factorial. Finally, display the original N value, the factorial, and the number of digits as follows: $[$N$\_$value$]!$ is equal to $[$factorial$\_$value$].$ There are $[$digits$]$ digits. where $[$N$\_$value$]$ is the original N value entered at the beginning of the program, $[$factorial$\_$value$]$ is the calculated factorial, and $[$digits$]$ is the number of digits in the factorial. Print a new line at the beginning and end of the output.