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.*;

/**
 *  Created by egor1n
 */

public class Main {

    public static void main(String[] args) throws IOException {
        //long startTime = System.currentTimeMillis();
        Main.run();
        //System.out.println("Время выполнения: " + (System.currentTimeMillis() - startTime) + " мс");
    }

    public static long gcd(long a, int b) {
        while (b != 0) {
            long tmp = a % b;
            a = b;
            b = (int) tmp;
        }
        return a;
    }

    public static long gcm(long a, int b) {
        return a * b / gcd(a, b);
    }

    public static void run() throws IOException {
        BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
        String[] line = reader.readLine().split(" ");
        long n = Long.parseLong(line[0]);
        int k = Integer.parseInt(line[1]);
        System.out.println(gcm(n, (int) Math.pow(10, k)));
    }
}