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
/*package whatever //do not write package name here */

import java.util.*;
import java.lang.*;
import java.io.*;

public class Codeforce {
	public static void main (String[] args) {
	    FastReader fr = new FastReader();
	    int n = fr.nextInt(), k = fr.nextInt(), cnt = 0;
	    long ans = n;
	    while(n%10 == 0) {
	        n/=10;
	        cnt++;
	    }
	    if(k == 0 || cnt >= k) {
	        System.out.println(ans);
	    }else{
	       while(cnt != k) {
	           long z = removeZero(ans);
	           if(z % 5 == 0) {
	               ans *= 2;
	               cnt++;
	           }else if(z %2 == 0) {
	               ans *= 5;
	               cnt++;
	           }else{
	               ans *= 10;
	               cnt++;
	           }
	       }
	       System.out.println(ans);
	    }
	}
	public static long removeZero(long y) {
	    while(y%10 == 0) {
	        y/=10;
	    }
	    return y;
	}
}
class FastReader {
 
    BufferedReader bf;
    StringTokenizer st;
 
    public FastReader() {
        bf = new BufferedReader(new InputStreamReader(System.in));
    }
 
    String next() {
        while (st == null || !st.hasMoreElements()) {
            try {
                st = new StringTokenizer(bf.readLine());
            } catch (Exception e) {
                System.out.println(e);
            }
        }
        return st.nextToken();
    }
 
    int nextInt() {
        return Integer.parseInt(next());
    }
 
    long nextLong() {
        return Long.parseLong(next());
    }
 
    double nextDouble() {
        return Double.parseDouble(next());
    }
 
    String nextLine() {
        String str = "";
        try {
            str = bf.readLine();
        } catch (Exception e) {
            System.out.println(e);
        }
        return str;
    }
}