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.math.BigInteger;
import java.util.*;

public class Main {
    static long gcd(long a, long b){
        BigInteger l = BigInteger.valueOf(a);
        BigInteger r = BigInteger.valueOf(b);
        return l.gcd(r).longValue();
    }

    static long lcm(long a, long b){
        return (a * b) / gcd(a, b);
    }
    public static void main(String args[]) throws Exception {
        init("in.txt", "out.txt");
        long n = nextLong();
        long k = nextInt();

        out.println(lcm(n, (long) Math.pow(10L, k)));
        out.close();
    }

    static BufferedReader scan;
    static PrintWriter out;
    static StringTokenizer st;

    static void init() {
        scan = new BufferedReader(new InputStreamReader(System.in));
        out = new PrintWriter(System.out);
    }

    static void init(String name1, String name2) throws Exception {
        try {
            scan = new BufferedReader(new FileReader(name1));
            out = new PrintWriter(name2);
        } catch (Exception e) {
            scan = new BufferedReader(new InputStreamReader(System.in));
            out = new PrintWriter(System.out);
        }
    }

    static String next() throws Exception {
        while (st == null || !st.hasMoreTokens())
            st = new StringTokenizer(scan.readLine());
        return st.nextToken();
    }

    static int nextInt() throws Exception {
        return Integer.parseInt(next());
    }

    static long nextLong() throws Exception {
        return Long.parseLong(next());
    }
}