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.util.Scanner;

public class Main {

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

	}

}

  	   		  	 	 				 		    		