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
Note using HashSet to avoid endless loop!
public class Solution {
public boolean isHappy(int n) {
HashSet<Integer> set = new HashSet<Integer>();
int res = Util(n);
while(res!=1){
if(set.contains(res)==false){
set.add(res);
}else{
break;
}
res = Util(res);
}
if(res == 1){
return true;
}
return false;
}
int Util(int n){
ArrayList<Integer> numbers = new ArrayList<Integer>();
int p= n/10;
int q= n%10;
numbers.add(q);
while(p>0){
q= p%10;
p= p/10;
numbers.add(q);
}
int res = computeRes(numbers);
return res;
}
int computeRes(ArrayList<Integer> numbers){
int res=0;
for(int i=0; i<numbers.size(); ++i){
res += numbers.get(i) * numbers.get(i);
}
return res;
}
}
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