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.
13 50
699998
61 2
1000000000000000000000000000001
15 50
-1
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