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 Problem858A {
	
	private static Scanner scanner;
	
	public static void main(String[] args) {
		scanner = new Scanner(System.in);
		int n = scanner.nextInt();
		int k = scanner.nextInt();
		long ans = n;
		
		while (k != 0) {
			int lastDigit = n % 10;
			if (lastDigit == 0) {
				n /= 10;
			} else if (lastDigit == 5) {
				n /= 5;
				ans *= 2;
			} else if (lastDigit % 2 == 0) {
				n /= 2;
				ans *= 5;
			} else {
				ans *= 10;
			}
			k--;
		}
		
		System.out.println(ans);
	}
}