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# Project One: Integers!

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Project One: Integers!

Motivation
This project will give you experience in using basic C++ constructs including I/O, arithmetic
operators, branch, and loop.
Introduction
Integers have many properties. For example, they can be odd, even, prime, or composite. In this
project, we will test the following four properties of a given integer:
1. Fibonacci number: an integer is a Fibonacci number if it is one of the numbers in the
Fibonacci sequence ?0, ?1, … , ??, …, where ?0 = 0, ?1 = 1, and for any ? ≥ 2, ?? =
??−1 + ??−2.

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## Description

Project One: Integers!

Motivation
This project will give you experience in using basic C++ constructs including I/O, arithmetic
operators, branch, and loop.
Introduction
Integers have many properties. For example, they can be odd, even, prime, or composite. In this
project, we will test the following four properties of a given integer:
1. Fibonacci number: an integer is a Fibonacci number if it is one of the numbers in the
Fibonacci sequence ?0, ?1, … , ??, …, where ?0 = 0, ?1 = 1, and for any ? ≥ 2, ?? =
??−1 + ??−2.
2. Sum of consecutive squares: an integer is a sum of consecutive squares if the integer is
equal to ?2 + (? + 1)
2 + (? + 2)
2 + ⋯ + ?
2
for two integers 0 ≤ ? ≤ ?.
3. Repeated number: an integer is a repeated number if it is positive and it looks like
another positive integer repeating for at least twice. For example, 111 and 1212 are
repeated numbers, but 123 and 1212123 are not. Note that by convention, the leftmost
digit of a positive integer is not a 0.
4. Divisor-sum number: An integer is a divisor-sum number if it is positive and the sum of
its proper divisors is equal to the integer. Note that a proper divisor of a positive integer n
is a positive divisor of n, excluding n itself. For example, 28 is a divisor-sum number,
since the sum of its proper divisors is 1+2+4+7+14 = 28.
Programming Assignment
You will implement a program that tests whether a given integer has a specific property.
Input/Output
“Please enter the test choice: ”
Then, your program will read the test choice. After that, it should prompt
“Please enter the number for test: ”
You must use these prompts exactly. Do not forget the trailing single space!
The test choice is an integer between 1 and 4, indicating one of the above four properties to be
tested for. Therefore, the first input should be in the range between 1 and 4, inclusively.
The second input is the number that your program should test for the given test choice. It should
be a non-negative integer and be no larger than 10 million.
If either input entered is outside its range, your program should prompt the request for
that input and take the input again. This should be repeated until the input is valid. (You
should not prompt anything other than the prompt.) You can assume that the user always
enters integral values, not any other erroneous inputs (i.e., you can always read the value into a
variable of int type). Assume the entered values are within the range from -20,000,000 to
20,000,000.
Your output will be either Pass or Fail, depending on whether the number passes the test or
not.
An example of the input and output is:
Please enter the test choice: 4
Please enter the number for test: 28
Pass
An example of wrong input attempts is:
Please enter the test choice: -1
Please enter the test choice: 4
Please enter the number for test: 28
Pass
Note the program prompts “Please enter the test choice: ” twice, because the
first value you input at the first time is illegal (negative).
Another example of wrong input attempts is:
Please enter the test choice: 4
Please enter the number for test: -1
Please enter the number for test: -2
Please enter the number for test: 28
Pass
Implementation Requirements
You should put all of the functions you write in a single file. You may only include <iostream>,
<cmath>, <string>, and <cstdlib>. No other system header files may be included, and you may
not make any call to any function in any other library.
Compiling and Testing
Write a Makefile. Put all your compiling commands in the Makefile. The output program
should be named p1.
You should test your program extensively.
Submitting and Due Date
You should submit your single source code file and the Makefile. These two files should be
submitted via the online judgment system. Please follow TA’s announcement for submission
details. The due date is 11:59 pm on June 4
th
, 2017.