Write a C$++$ program that will predict the size of a population of lovebugs for a certain number of days. The user will enter the starting number of lovebugs, the average daily percent increase $($in its percentage form, say $30\%),$ and the number of days the lovebugs will mulitply. In order for the population to increase, there must be a minimum of two lovebugs. Be sure to validate all input values. Use a C$++$ loop $($while loop, do$/$while loop, or for loop$)$ to calculate the population values to to print to the screen. Round all population values to $3$ decimal places. Be sure the program calculates and displays a table of data showing the correct calculated increase in population for the number of days requested.