Please help with the following problem using C++.

3. Develop an abstract base class RandGen that will be used for generating random numbers or strings in various questions. Give some supporting (mathematical) arguments for all your work in your report Use library functions from the standard library like rand), srand() and time(). I suggest you use srand(time(0)) to seed the random number generator. Create four derived classes RandLotto, RandDay, RandTime and RandString. The Randlotto will be used to generate random drawings for California Super Lotto Plus based on 5 numbers from 1 to 47 and one additional Mega number from 1 to 27. See wnww. Calottery.com/ games/superlotteryplus for Lottery rules. The RandDay will generate a random day of the year, use the class Date from the textbook. Make sure you look into the case of leap years to make it absolutely random. The RandTime will generate a random time of the day using class Time from textbook. The RandString will be used as a base class for two derived classes: RandStr will generate a random strings at most 256 characters long and a RandMsgOfTheDay will return a random message of the day (use a table of messages in memory or in a file). Test all your classes