Write an algorithm to determine if a number 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, and 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 numbers.
Example: 19 is a happy number
- 12 + 92 = 82
- 82 + 22 = 68
- 62 + 82 = 100
- 12 + 02 + 02 = 1
Credits:
Special thanks to @mithmatt and @ts for adding this problem and creating all test cases.
public class Solution {
public int GetSquareSum(int num)
{
int sum = 0;
while (num >= 1)
{
if (num >= 10)
{
sum += (num % 10) * (num % 10);
}
else
{
sum += num * num;
}
num = num/10;
}
return sum;
}
public bool IsHappy(int n)
{
List<int> numberList = new List<int>();
while (true)
{
n = GetSquareSum(n);
if (n == 1)
{
return true;
}
else if (numberList.IndexOf(n) >= 0)
{
return false;
}
numberList.Add(n);
}
}
}