202. Happy Number

202 Happy Number
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Total Accepted: 73442 Total Submissions: 198117 Difficulty: Easy

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.

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import java.util.*;

public class Solution {
    public boolean isHappy(int n) {
        // https://leetcode.com/discuss/33349/o-1-space-java-solution
        // There is some "detecting a circle in a linkedlist" flavor in this solution. Nice!
        // 1, 19 true,  others are false 
        // e.g 27 -53- 34-25-29-85-[89]-145 -42-20-4-16-37-58-[89]
        int x = n;
        int y = n;
        
        while (true) {
            x = cal(x);
            if (x == 1) return true;
            
            y = cal(cal(y));
            if (y == 1) return true;
            
            if (x == y) return false;
        }
    }
    
    public int cal(int n) {
        int x = n;
        int result = 0;
        
        while (x > 0) {
            result += (x % 10) * (x % 10);
            x = x / 10;
        }
        return result;
    }
}