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 Main {

    private static long gcd(long a, long b)
    {
        while (b > 0)
        {
            long temp = b;
            b = a % b;
            a = temp;
        }
        return a;
    }

    private static long lcm(long a, long b) {
        return a / gcd(a, b) * b;
    }

    private void solution() throws IOException {
        int n = in.nextInt();
        int k = in.nextInt();
        System.out.println(lcm(n, (long) Math.pow(10, k)));
    }

    private void run() throws IOException {
        in = new Scanner(System.in);
        out = new PrintWriter(System.out);
        solution();
        in.close();
        out.close();
    }

    private Scanner in;
    private PrintWriter out;

    public static void main(String[] args) throws IOException {
        new Main().run();
    }

    private class Scanner {

        BufferedReader br;
        StringTokenizer st;

        private Scanner(InputStream is) {
            br = new BufferedReader(new InputStreamReader(is));
        }

        private String next() throws IOException {
            while (st == null || !st.hasMoreTokens()) {
                st = new StringTokenizer(br.readLine());
            }
            return st.nextToken();
        }

        private Integer nextInt() throws IOException {
            return Integer.parseInt(next());
        }

        private Long nextLong() throws IOException {
            return Long.parseLong(next());
        }

        private Double nextDouble() throws IOException {
            return Double.parseDouble(next());
        }

        private void close() throws IOException {
            st = null;
            br.close();
        }
    }
}