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James, a mathematics teacher, is developing a programming exercise to help his students practice continuously summing the digits of a number until it becomes a single-digit integer. He wants to create a simple program using a 'while' loop that takes a positive integer input and generates the final single-digit result. Input format :The input consists of a positive integer n.Output format :The output prints "The single-digit sum of n is Y." where n is the input integer and Y is its single-digit sum.Refer to the sample output for formatting specifications.Code constraints :1 ≤ n ≤ 1010Sample test cases :Input 1 :456Output 1 :The single-digit sum of 456 is 6.Input 2 :999Output 2 :The single-digit sum of 999

Question

James, a mathematics teacher, is developing a programming exercise to help his students practice continuously summing the digits of a number until it becomes a single-digit integer. He wants to create a simple program using a 'while' loop that takes a positive integer input and generates the final single-digit result. Input format :The input consists of a positive integer n.Output format :The output prints "The single-digit sum of n is Y." where n is the input integer and Y is its single-digit sum.Refer to the sample output for formatting specifications.Code constraints :1 ≤ n ≤ 1010Sample test cases :Input 1 :456Output 1 :The single-digit sum of 456 is 6.Input 2 :999Output 2 :The single-digit sum of 999

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Solution

Here is a step-by-step guide to solve this problem:

  1. First, you need to create a function that takes an integer as an input. Let's call this function single_digit_sum.

  2. Inside this function, create a while loop. The condition for this loop should be that the number is greater than 9. This is because we want to keep summing the digits until we get a single-digit number.

  3. Inside the while loop, convert the number to a string. This is because we want to be able to iterate over each digit in the number, and we can only do this if the number is a string.

  4. Still inside the while loop, create a variable called sum and set it equal to 0. This variable will keep track of the sum of the digits.

  5. Now, create a for loop that iterates over each digit in the number (which is now a string). For each digit, convert it back to an integer and add it to sum.

  6. After the for loop, set the number equal to sum. This is because we want to repeat the process with the new number, which is the sum of the digits of the old number.

  7. Once the while loop is done (i.e., once the number is a single-digit number), return the number.

  8. Finally, outside the function, take an input from the user, pass it to the function, and print the result in the required format.

Here is a Python code snippet that implements the above steps:

def single_digit_sum(n):
    while n > 9:
        n = str(n)
        sum = 0
        for digit in n:
            sum += int(digit)
        n = sum
    return n

n = int(input())
print("The single-digit sum of {} is {}.".format(n, single_digit_sum(n)))

This code will work for any positive integer n such that 1 ≤ n ≤ 1010.

This problem has been solved

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Write a C program to calculate sum of digits of a number. – using while loop

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