Problem2503--Olesya and Rodion

2503: Olesya and Rodion

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Time Limit : 2.000 sec  Memory Limit : 256 MiB

Description

time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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

Source/Category