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
import java.io.*;
import java.math.BigInteger;
import java.util.*;


public class Main {
	public static void main(String args[]){
		
		Scanner in = new Scanner(System.in);
		PrintWriter out = new PrintWriter(System.out);
		int n =in.nextInt();
		int k = in.nextInt();
		for(int i=0;i<k;i++){
			if(n%5==0){
				n/=5;
			}
			if(n%2==0){
				n/=2;
			}
		}
		out.print(n);
		for(int i=0;i<k;i++){
			out.print(0);
		}
		out.close();
	
	}
}