In a predator-prey simulation, you compute the populations of predators and prey, using the following equation:s preyn+1 = prey, x (1 + A-B × pred.) predn+1 = predn × (1-C + D × preyn) Here, A is the rate at which prey birth exceeds natural death, B is the rate of predation, C is the rate at which predator deaths exceed births without food and D represents predator increase in the presence of food. Write a program that prompts users for these rates, the initial population sizes, and the number of periods. Then print the populations for the given number of periods. As inputs, try A = 0.1, B-C = 0.01, and D = 0.00002 with initial prey and predator populations of 1,000 and 20 2.