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Problem StatementLily is working on a program to find perfect numbers within a user-defined range. Create a program for her that helps find and display all the perfect numbers within a user-defined range a and b.A perfect number is a number for which the sum of its proper divisors (excluding the number itself) equals the number itselfAsk Lily for the starting and ending values (both inclusive) of the range and display the perfect numbers found.Note: This question helps in clearing technical coding tests for service-based companies.Input format :The input consists of two space-separated integers a and b, representing the starting and ending range, respectively.Output format :The output prints the perfect numbers present in the given range, separated by a space.If there are no perfect numbers present, the output prints "No perfect numbers".Refer to the sample output for formatting specifications.Code constraints :In the given scenario, the test cases will fall under the following constraints:5 ≤ a < b ≤ 105Sample test cases :Input 1 :6 28Output 1 :6 28Input 2 :10 100000Output 2 :28 496 8128Input 3 :50 60Output 3 :No perfect numbers

Question

Problem StatementLily is working on a program to find perfect numbers within a user-defined range. Create a program for her that helps find and display all the perfect numbers within a user-defined range a and b.A perfect number is a number for which the sum of its proper divisors (excluding the number itself) equals the number itselfAsk Lily for the starting and ending values (both inclusive) of the range and display the perfect numbers found.Note: This question helps in clearing technical coding tests for service-based companies.Input format :The input consists of two space-separated integers a and b, representing the starting and ending range, respectively.Output format :The output prints the perfect numbers present in the given range, separated by a space.If there are no perfect numbers present, the output prints "No perfect numbers".Refer to the sample output for formatting specifications.Code constraints :In the given scenario, the test cases will fall under the following constraints:5 ≤ a < b ≤ 105Sample test cases :Input 1 :6 28Output 1 :6 28Input 2 :10 100000Output 2 :28 496 8128Input 3 :50 60Output 3 :No perfect numbers

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Solution 1

To solve this problem, we can use a simple brute force approach where we check each number in the given range if it's a perfect number or not. Here are the steps to solve this problem:

  1. First, we need to get the starting and ending values of the range from the user. We can do this using the input() function in Python.

  2. Next, we need to iterate over each number in the range. We can do this using a for loop in Python.

  3. For each number, we need to find its proper divisors and calculate their sum. A proper divisor of a number is a positive factor of that number excluding the number itself. We can find the proper divisors of a number by iterating from 1 to the number and checking if the number is divisible by the current number. If it is, we add it to the sum.

  4. After calculating the sum of the

This problem has been solved

Solution 2

To solve this problem, we can use a simple brute force approach where we check each number in the given range if it's a perfect number or not. Here are the steps to solve this problem:

  1. First, we need to get the starting and ending values of the range from the user. We can do this using the input() function in Python.

  2. Next, we need to iterate over each number in the range. We can do this using a for loop in Python.

  3. For each number, we need to find its proper divisors and calculate their sum. A proper divisor of a number is

This problem has been solved

Similar Questions

Write a program to check the given number is perfect or not ?

Write a function “perfect()” that determines if parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1 and 1000.[An integer number is said to be “perfect number” if its factors, including 1(but not the number itself), sum to the number. E.g., 6 is a perfect number because 6=1+2+3].

Input format :The input consists of a single line:The line contains an integer denoting n.The input will be read from the STDIN by the candidate.Output format :Print’1’ if n is a perfect number, else print the sum of the proper divisors of n.The output will be matched to the candidate’s output printed on STDOUT

A perfect number is a positive integer that is equal to the sum of its proper positive divisors, i.e. the sum of its positive divisors excluding the number itself.You are given a function,def DetectPerfectNumber(n)The function accepts an integer 'n' as its argument. Implement the function such that it returns '1' if 'n' is a perfect number, else returns the sum of the proper divisors of 'n'.Example:Input:22Output:14Explanation: Proper positive divisors of 22 are 1, 2 and 11. 1 + 2 + 11 = 14 which is not equal to 22, hence 22 is not a perfect number. So the output is 14 which is the sum of its proper divisors.The custom input format for the above case:22(The line represents 'n')

Single File Programming QuestionProblem StatementBob is fascinated by Unitary Perfect Numbers and wants to create a program to check whether a given number is a Unitary Perfect Number or not. A Unitary Perfect Number is a positive integer where the sum of its proper divisors (excluding itself) equals the number itself.Help Bob by creating a program that takes a number as input and determines if it is a Unitary Perfect Number using pointers and a function named isUnitary.Example 1Input: 60Output:60 is a unitary perfect number.Explanation: The number 60 is a unitary perfect number, because 1, 3, 4, 5, 12, 15, and 20 are its proper unitary divisors, and 1 + 3 + 4 + 5 + 12 + 15 + 20 = 60.Example 2Input: 18 Output:18 is not a unitary perfect number.Explanation: The number 18 is not a unitary perfect number, because 1, 2, 3, 6, and 9 are its proper unitary divisors, and 1 + 2 + 3 + 6 + 9 = 21, which is not equal to 18. Input format :The input consists of an integer N, representing the number to be checked.Output format :If N is a Unitary Perfect Number, print "[N] is a unitary perfect number."Otherwise, print "[N] is not a unitary perfect number."Refer to the sample output for formatting specifications.Code constraints :In this scenario, the test cases fall under the following constraints:1 ≤ N ≤ 100Sample test cases :Input 1 :60Output 1 :60 is a unitary perfect number.Input 2 :18Output 2 :18 is not a unitary perfect number.Note :The program will be evaluated only after the “Submit Code” is clicked.Extra spaces and new line characters in the program output will result in the failure of the test case.Marks : 10Negative Marks : 0WhitelistSet 1:isUnitarySet 2:*&

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