CPSC150A
Scientific Computing

Activity 7

Conditionals

Minimum

Write the function minimum(number_1, number_2) that returns the minimum of the two parameters, number_1 and number_2. The function should not use the built-in min function.

Clamp

Write the function clamp(number, minimum, maximum) that returns the result of clamping the specified number into the range [minimum, maximum]. That is, if number is below minimum, it returns minimum, if number is above maximum, it returns maximum, and otherwise it returns number. The function should not use the built-in functions min and max.

Perfect Numbers

A perfect number is a positive integer that is the sum of all of its positive divisors, excluding itself. For example, the divisors of 6 are 1, 2, 3, and 6, and 1 + 2 + 3 = 6. It is an open problem in mathematics as to whether there are a finite number of perfect numbers.

Details

Create a program that prompts the user for a positive integer and prints all of the perfect numbers less than the specified positive integer.

Example

Enter a positive integer: 1000
The perfect numbers less than 1000 are...
6
28
496

Hint

Submission

Please show your source code and run your programs for the instructor or lab assistant. Only programs that have perfect functionality will be accepted as complete.