You are an expert on Linux and you have to write some python code that creates a backup copy of a given file in a directory. The current time format should be yyyyymmdd HH:MM:MSTime, e.g., `2023-10-24 14:56`. The program should check if the month is valid (between 1 and 12), but not only for one day, like this input 15/8 - it should be a value between 1 and 31. Also, make sure that it doesn't go over to the next week. I need a solution with proper error handling in case of an invalid month or date provided. Here is some starter code: Solve x^2 = (x - b) * (-b + sqrt(a)) / 2, wherein "a" represents the first digit, and "sqrt()" means square root function: x ^ 3*(-2y+3) + y^(1/4)^2 = a^3 - 60