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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int main() {
  long long n, t, k = 0, m;
  cin >> n >> t;
  m = n;
  while (n > 0) {
    if (m < 2 && t == 10) {
      cout << -1;
      break;
    }
    if (t != 10)
      cout << t;
    else {
      if (k == 0)
        cout << 1, k = 1;
      else
        cout << 0;
    }
    n--;
  }
}