Population: In a population, the birth rate is the percentage increase of the population due to births, and the death rate is the percentage decrease of the population due to deaths. Write a program that displays the size of a population for any number of years. The program should ask for the following data:

$$ The starting size of a population

$$ The annual birth rate

$$ The annual death rate

$$ The number of years to display

Write a c$++$ function started with using namespace std without comments that calculates the size of the population for a year. The formula is

N $=$ P $+$ BP $$ DP

where N is the new population size, P is the previous population size, B is the birth rate, and D is the death rate.

Input Validation: Do not accept numbers less than $2$ for the starting size. Do not accept negative numbers for birth rate or death rate. Do not accept numbers less than $1$ for the number of years.