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C. Given Length and Sum of Digits...

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou have a positive integer *m* and a non-negative integer *s*. Your task is to find the smallest and the largest of the numbers that have length *m* and sum of digits *s*. The required numbers should be non-negative integers written in the decimal base without leading zeroes.

Input

The single line of the input contains a pair of integers *m*, *s* (1 ≤ *m* ≤ 100, 0 ≤ *s* ≤ 900) — the length and the sum of the digits of the required numbers.

Output

In the output print the pair of the required non-negative integer numbers — first the minimum possible number, then — the maximum possible number. If no numbers satisfying conditions required exist, print the pair of numbers "-1 -1" (without the quotes).

Examples

Input

2 15

Output

69 96

Input

3 0

Output

-1 -1

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

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