C++ PLEASE! Please read ALL the directions carefully.

In this program you will be reading numbers from a file. You will validate the numbers and calculate the average of all of the valid numbers Your program will read in a file with numbers. The numbers will be of type double. The numbers should be in the range from 0 to 110 (inclusive). You need to count all of the numbers between 0 and 110. You also need to calculate the average of these numbers. If a number is not valid (that is, it is less than 0 or greater than 110) you need to count it (as a count of invalid values) and you need to write out the number to a file called "invalid-numbers.txt". Values written to file invalid-numbers.txt should be in fixed format with two digits to the right of the decimal point. As you did in lab lesson 7 part 1 you need to read in the input file name using cin The output from your program will be written to cout. The output must contain the file being processed, the total number of values read in from the file, the number of invalid values read in, the number of valid values read in. The last thing you need to output is either the average of the valid values or an error message. The average must have two digits of precision to the right of the decimal point and must be in fixed format. If there is not valid average you should output the message: An average cannot be calculated In what case would you display this message? If the input file cannot be opened, you will need to output a message. Assume the input file name is badinput.txt and it cannot be opened You will display the following error message to cout File "badinput.txt" could not be opened Here is an example of a working program: Assume the file name read in from cin is: input.txt