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.util.*;
public class abc{
	
	public static void main(String args[]){
		Scanner in=new Scanner(System.in);
		long n=in.nextLong();
		long k=in.nextLong();
		long k1=k;
		long i=1;
		while(i==1){
			if(k1==0){
				System.out.print(n);
				for(i=1;i<=k;i++)
					System.out.print("0");
				break;
			}
			else{
				long x=n%10;
				if(x%2!=0&&x!=5){
					k1=0;
				}
				else if(x%2==0&&x!=0){
					n=n*5;
					n=n/10;
					k1=k1-1;
				}
				else if(x==5){
					n=n*2;
					n=n/10;
					k1=k1-1;
				}
				else if(x==0){
					n=n/10;
					k1=k1-1;
				}
			}
		}
	}
}