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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;
import java.util.Scanner;

public class Solution {
    public static void main(String[] args) throws IOException {
        BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
        String[] s = reader.readLine().split("\\s+");
        //int n = Integer.parseInt(s[0]);
        //s = reader.readLine().split("\\s+");
        long a = Integer.parseInt(s[0]);
        int k = Integer.parseInt(s[1]);
        int two = 0;
        int five = 0;
        long b = a;
        while (b % 2 == 0){
            b /= 2;
            two ++;
        }
        while (b % 5 == 0){
            b /= 5;
            five++;
        }
        for (int i = 0; i < k - two; i++){
            a*=2;
        }
        for (int i = 0; i < k - five; i++){
            a*=5;
        }
        System.out.println(a);
    }
}
