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:
# print ("Input n, t--all on one line, separated by spaces")
n,t = (int(x) for x in input().split())

start = 1
found = False
for i in range(n-1):
    start *= 10
finish = start * 10

for i in range(start, finish):
    if i % t == 0:
        print(i)
        found = True
        break
if not found:
    print(-1)