You are given two integers n and k. Find k-th smallest divisor of n, or report that it doesn't exist.

Divisor of n is any such natural number, that n can be divided by it without remainder.

The first line contains two integers n and k (1 \le n \le 1015, 1 \le k \le 109).

If n has less than k divisors, output -1.

Otherwise, output the k-th smallest divisor of n.

In the first example, number 4 has three divisors: 1, 2 and 4. The second one is 2.

In the second example, number 5 has only two divisors: 1 and 5. The third divisor doesn't exist, so the answer is -1.