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() {
  int n, t, i = 0;
  cin >> n >> t;
  if (t == 2) {
    if (n == 1) {
      cout << "2" << endl;
    }
    if (n >= 2) {
      cout << "1";
      for (i = 0; i < n - 1; i++) {
        cout << "0";
      }
    }
  }
  if (t == 3) {
    if (n == 1) {
      cout << "3" << endl;
    }
    if (n >= 2) {
      cout << "3";
      for (i = 0; i < n - 1; i++) {
        cout << "0";
      }
    }
  }
  if (t == 4) {
    if (n == 1) {
      cout << "4" << endl;
    }
    if (n >= 2) {
      cout << "4";
      for (i = 0; i < n - 1; i++) {
        cout << "0";
      }
    }
  }
  if (t == 5) {
    if (n == 1) {
      cout << "5" << endl;
    }
    if (n >= 2) {
      cout << "5";
      for (i = 0; i < n - 1; i++) {
        cout << "0";
      }
    }
  }
  if (t == 6) {
    if (n == 1) {
      cout << "6" << endl;
    }
    if (n >= 2) {
      cout << "6";
      for (i = 0; i < n - 1; i++) {
        cout << "0";
      }
    }
  }
  if (t == 7) {
    if (n == 1) {
      cout << "7" << endl;
    }
    if (n >= 2) {
      cout << "7";
      for (i = 0; i < n - 1; i++) {
        cout << "0";
      }
    }
  }
  if (t == 8) {
    if (n == 1) {
      cout << "8" << endl;
    }
    if (n >= 2) {
      cout << "8";
      for (i = 0; i < n - 1; i++) {
        cout << "0";
      }
    }
  }
  if (t == 9) {
    if (n == 1) {
      cout << "9" << endl;
    }
    if (n >= 2) {
      cout << "9";
      for (i = 0; i < n - 1; i++) {
        cout << "0";
      }
    }
  }
  if (t == 10) {
    if (n == 1) {
      cout << "-1" << endl;
    }
    if (n >= 2) {
      cout << "1";
      for (i = 0; i < n - 1; i++) {
        cout << "0";
      }
    }
  }
}