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 PYTHON):

Solution:
import itertools
n,t=map(int,raw_input().split())
f=0
for num in itertools.count(pow(10,n-1),1):
   
    if num%t==0 and num<pow(10,n):
        f=num
        break
        
    elif num>=pow(10,n):
        break
    else:
        continue
        
if f==0:
    print -1
else:
    print f