Find a Number
Description
You are given two positive integers $d$ and $s$. Find minimal positive integer $n$ which is divisible by $d$ and has sum of digits equal to $s$.
The first line contains two positive integers $d$ and $s$ ($1 \le d \le 500, 1 \le s \le 5000$) separated by space.
Print the required number or -1 if it doesn't exist.
Input
The first line contains two positive integers $d$ and $s$ ($1 \le d \le 500, 1 \le s \le 5000$) separated by space.
Output
Print the required number or -1 if it doesn't exist.
Samples
13 50
699998
61 2
1000000000000000000000000000001
15 50
-1