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 A = in.nextInt();
	long PseudoA = A;
	int k = in.nextInt();
	int twocounter=0;
	int fivecounter=0;
	int tencounter=0;
	boolean flag=true;
	while(flag){
		flag=false;
	if(PseudoA%2==0){
		PseudoA=PseudoA/2;
	 	twocounter++;
	 	flag=true;
	}
	else if(PseudoA%5==0){
		PseudoA=PseudoA/5;
		fivecounter++;
		flag=true;
	}
	}
	PseudoA = A;
	boolean trug=true;
	while(trug){
		if(PseudoA %10==0){
			PseudoA=PseudoA/10;
			tencounter++;
		}else trug=false;
	}
	int HowMuch=fivecounter-twocounter;
	for(int i=0;i<k-tencounter;i++) {
		if (HowMuch > 0) {
			A = A * 2;
			HowMuch--;
		} else if (HowMuch < 0) {
			A = A * 5;
			HowMuch++;
		}else if(HowMuch == 0) {
			A = A * 10;
		}
	}
	System.out.print(A);
	}
}
