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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Solution:
Tips:
use set to record the N.
Java Code:
public class Solution {
public boolean isHappy(int n) {
Set<Integer> si = new HashSet<>();
int currentN = n;
while (true) {
int sum = 0;
while (currentN > 0) {
int m = currentN % 10;
sum += m * m;
currentN /= 10;
}
currentN = sum;
if (1 == sum) {
break;
}
if (si.contains(sum)) {
return false;
}
si.add(sum);
}
return true;
}
}