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.io.PrintWriter;


public class Main {

    public static void main(String[] args) throws Exception {
        BufferedReader in = new BufferedReader(new InputStreamReader(System.in));
        InputReader inputReader = new InputReader(in);
        PrintWriter out = new PrintWriter(System.out);

        int n = inputReader.getNextInt();
        int k = inputReader.getNextInt();

        out.println(getMultipleWithAtLeastKZeroes(n, k));

        in.close();
        out.close();
    }

    public static long getMultipleWithAtLeastKZeroes(int n, int k) {
        int multiplier = 1;
        int two = getDivisorPower(n, 2);
        int five = getDivisorPower(n, 5);

        for(int i = two; i < k; i++) {
            multiplier = multiplier * 2;
        }

        for(int i = five; i < k; i++) {
            multiplier = multiplier * 5;
        }

        return 1L * multiplier * n;
    }

    public static int getDivisorPower(int n, int div) {
        int res = 0;
        while(n % div == 0) {
            res = res + 1;
            n = n / div;
        }
        return res;
    }

    public static class InputReader {

        static final String SEPARATOR = " ";

        String[] split;
        int head = 0;
        BufferedReader in;

        public InputReader(BufferedReader in) {
            this.in = in;
        }

        private void fillBuffer() throws IOException {
            if(split == null || head >= split.length) {
                head = 0;
                split = in.readLine().split(SEPARATOR);
            }
        }

        public String getNextToken() throws IOException {
            fillBuffer();
            return split[head++];

        }

        public int getNextInt() throws IOException {
            return Integer.parseInt(getNextToken());
        }

        public long getNextLong() throws IOException {
            return Long.parseLong(getNextToken());
        }
    }

}