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 PYTHON3):

Solution:
import random
import math

n, t = list(map(int, input().split()))
ans = ""
if t == 10 and n == 1:
    print(-1)

else:
    if t != 10 and n == 1:
        print(t)
    else:
        if t == 10:
            n = n - 2
        if t != 10:
            n = n - 1
        ans += "{}".format(t)
        for i in range(n):
            ans += "{}".format(0)
        print(ans)