Given Length and Sum of Digits...

题意翻译

给出 $m$ 和 $s$,分别找出最大和最小的非负整数,两个数都满足数位长度为 $m$,数位和为 $s$。无解时输出 $-1$。 $1\le m\le 100$, $0 \le s\le 900$ Translated by @noble_

题目描述

You 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.

输入输出格式

输入格式


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.

输出格式


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).

输入输出样例

输入样例 #1

2 15

输出样例 #1

69 96

输入样例 #2

3 0

输出样例 #2

-1 -1