For a given positive integer n denote its k-rounding as the minimum positive integer x, such that x ends with k or more zeros in base 10 and is divisible by n.

For example, 4-rounding of 375 is 375·80 = 30000. 30000 is the minimum integer such that it ends with 4 or more zeros and is divisible by 375.

Write a program that will perform the k-rounding of n.

Input

The only line contains two integers n and k (1 ≤ n ≤ 109, 0 ≤ k ≤ 8).

Output

Print the k-rounding of n.

Examples

Input

375 4


Output

30000


Input

10000 1


Output

10000


Input

38101 0


Output

38101


Input

123456789 8


Output

12345678900000000
#include <bits/stdc++.h>
using namespace std;
int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  long long n, k;
  cin >> n >> k;
  long long cnt = 0, aux = n;
  while (aux != 0) {
    cnt += aux % 10 == 0;
    if (aux % 10 != 0) break;
    aux /= 10;
  }
  if (cnt >= k)
    cout << n << "\n";
  else {
    long long p2 = 0, p5 = 0, aux = n;
    while (aux % 2 == 0) {
      p2++;
      aux /= 2;
    }
    while (aux % 5 == 0) {
      p5++;
      aux /= 5;
    }
    for (int i = p2; i < k; ++i) n *= 2;
    for (int i = p5; i < k; ++i) n *= 5;
    cout << n << "\n";
  }
  return 0;
}
