Problem: Olesya loves numbers consisting of n digits, and Rodion only likes numbers that are divisible by t. Find some number that satisfies both of them.

Your task is: given the n and t print an integer strictly larger than zero consisting of n digits that is divisible by t. If such number doesn't exist, print  - 1.

Input

The single line contains two numbers, n and t (1 ≤ n ≤ 100, 2 ≤ t ≤ 10) — the length of the number and the number it should be divisible by.

Output

Print one such positive number without leading zeroes, — the answer to the problem, or  - 1, if such number doesn't exist. If there are multiple possible answers, you are allowed to print any of them.

Examples

Input

3 2


Output

712

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
public class a{
	public static void main(String[] args) throws Exception{
		Scanner in = new Scanner(System.in);
		PrintStream out = System.out;
		int n = in.nextInt();
		int t = in.nextInt();
		if(t == 10 && n == 1){
			out.println(-1);
			return;
		}

		if(t == 10)
			t = 1;
		String output = "" + t;
		for(int i = 0; i < n  - 1; i++)
			output += "0";
		out.println(output);
	}
}