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Happy Number

Steilla Mitchel11412-Jun-2024

Write an algorithm to determine if a number n is happy.

A happy number is a number defined by the following process:

  • Starting with any positive integer, replace the number by the sum of the squares of its digits.
  • Repeat the process until the number equals 1 (where it will stay), or it loops endlessly in a cycle which does not include 1.
  • Those numbers for which this process ends in 1 are happy.

Return trueifnis a happy number, andfalseif not.

c#c# programming language programming help programs 
Updated on 12-Jun-2024
Steilla Mitchel

Steilla Mitchel

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I completed my post-graduation in 2013 in the engineering field. Engineering is the application of science and math to solve problems. Engineers figure out how things work and find practical uses for scientific discoveries. Scientists and inventors often get the credit for innovations that advance the human condition, but it is engineers who are instrumental in making those innovations available to the world. I love pet animals such as dogs, cats, etc.

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1 Answers

Ravi Vishwakarma

Ravi Vishwakarma

12-Jun-2024

Let's write code to check whether a number is IsHappy or not happy in C#.

// Method to determine if a number is a happy number
public static bool IsHappy(int n)
{
    // Continue the process while n is greater than 10
    // If n becomes less than or equal to 10, we exit the loop to avoid infinite loops for unhappy numbers
    while (n > 10)
    {
        // Initialize the result with the initial number
        // Reset result to 0 to calculate the sum of the squares of the digits
        int result = 0;

        // Continue extracting and squaring digits until n becomes 0
        while (n != 0)
        {
            // Get the last digit of n
            int LastDigit = n % 10;

            // Add the square of the last digit to result
            result += (LastDigit * LastDigit);

            // Remove the last digit from n
            n /= 10;
        }

        // Update n to the result to repeat the process with the new number
        n = result;
    }

    // If the final value of n is 1, return true (indicating the number is happy)
    // Otherwise, return false (indicating the number is not happy)
    return n == 1;
}

Now call this function from the main function in the Program class.

public static void Main()
{
    IList<int> list = new List<int>
    {
        19, 1, 6, 100, 45
    };

    foreach (var item in list)
    {
        Console.WriteLine(item + " " + Program.IsHappy(item));
    }

    Console.ReadLine();
}

Output :

19 True
1 True
6 False
100 True
45 False

 

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