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.
bool isHappy(int n) {
unordered_set<int> st;
int k = n;
while (k != 1) {
int tmp = 0;
while (k) {
tmp += (k % 10) * (k % 10);
k /= 10;
}
k = tmp;
if (st.count(k)) return false;
else st.insert(k);
}
return k == 1;
}
// Floyd Cycle detection algorithm
int digitSquareSum(int num) {
int sum = 0, tmp;
while (num) {
tmp = num % 10;
sum += tmp * tmp;
num /= 10;
}
return sum;
}
bool isHappy(int n) {
int slow = n, fast = n;
do {
slow = digitSquareSum(slow);
fast = digitSquareSum(digitSquareSum(fast));
} while (slow != fast);
if (slow == 1) return true;
else return false;
}