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
Solution 1: use hash table to record if duplicate or not. If Duplication is 1 return true, else return zero.
public class Solution {
public boolean isHappy(int n) {
Set<Integer> set=new HashSet<>();
while (!set.contains(n)) {
set.add(n);
n=next(n);
}
if (n==1) return true;
return false;
}
private int next(int x) {
int res=0;
while (x!=0) {
int t=x%10;
res+=t*t;
x=x/10;
}
return res;
}
}
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