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
/*
 * 861 A. k-rounding
 */

import java.util.Scanner;

public class KRounding {
	public static void main(String[] args) {
		Scanner s = new Scanner(System.in);
		long a, b;
		a = s.nextLong();
		b = s.nextLong();
		for(long i=0;i<b;i++) {
			if(a%2==0) {
				a/=2;
			}
			if(a%5==0) {
				a/=5;
			}
		}
		System.out.print((int)a);
		for(long i=0;i<b;i++) {
			System.out.print("0");
		}
	}
}