1. Design an algorithm in pseudocode to solve the problem. Make sure to include steps to get
each input and to report the output. Include steps to deal with error cases as specified above.
2. Identify three test cases, one using a number with 4 factors, one using a negative number,
and one using a number with more than 4 factors. For each of the three test cases show what
inputs you will use and what your expected outputs should be.
3. Write the program to implement your algorithm. Test your program using your test cases.
Programming Problem 2
This program is designed to analyze the growth of two cities. Each city has a starting population
and annual growth rate. The smaller city has the larger growth rate (required). Show the
comparative populations of each city year by year until the smaller city has grown larger than
the bigger city.
As an example, Dogville has a population of 5000 growing at 20% annually while Cattown has a
population of 7000 growing at 10% annually. The projected populations are:
Year DogvilleCattown
1 6000 7700
2 7200 8470
3 8640 9317
4 10368 10249
1. Identify the inputs and outputs of the problem.
2. Identify the processing needed to convert the inputs to the outputs
3. Design an algorithm in pseudocode to solve the problem. Make sure to include steps to get
each input and to report each output.
4. Identify three significant test cases including one for incorrect input (ie Small town has lower
growth rate). For each of the three test cases show what inputs you will use and calculate what
your expected outputs should be.
5. Write the program to implement your algorithm. Test your program using your test cases.