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. Write an algorithm to determine if a number is "happy".
Example:
Input: 19
Output: true
Explanation:
1^2 + 9^2 = 82
8^2 + 2^2 = 68
6^2 + 8^2 = 100
1^2 + 0^2 + 0^2 = 1
class Solution {
public boolean isHappy(int n) {
Set<Integer> set = new HashSet<Integer>();
boolean isHappy = false;
while(!isHappy) {
int sum = sumOfSquares(n);
if(sum == 1){
isHappy = true;
break;
}
if(set.contains(n))
break;
set.add(n);
n = sum;
}
return isHappy;
}
private int sumOfSquares(int n) {
int sum = 0;
while(n > 0) {
int digit = n % 10;
int square = digit * digit;
sum += square;
n = n / 10;
}
return sum;
}
}