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
class Solution {
public:
bool isHappy(int n) {
set<int> visit;
while(true)
{
if(n == 1)
return true;
vector<int> iVec;
while(n)
{
iVec.push_back(n % 10);
n /= 10;
}
for(int i = 0;i < iVec.size();++i)
n = n + iVec[i] * iVec[i];
if(visit.find(n) != visit.end())
return false;
visit.insert(n);
}
}
};
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