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>
long long tmp = 1;
int main() {
  int n, k, i;
  scanf("%i %i", &n, &k);
  for (i = 0; i < k; i++) tmp *= 10;
  for (i = 1; i <= tmp; i++) {
    if ((1ll * n * i) % tmp == 0) {
      printf("%lld\n", (1ll * n * i));
      return 0;
    }
  }
  return 0;
}
