Challenge 7: Largest Number with Given Number of Digits and Sum of Digits

Problem Statement

A girl lost the key to her locker (Note: The key is only numeric). She remembers the number of digits N as well as the sum S of all the digits of her password. She also knows that her password is the largest number of N digits that can be possible with given sum S.

Implement a function that would help her retrieve her key.

Input

The number of digits and the sum of those digits.

Output

The largest number that can be created (or the key)

Sample Input

sumOfDigits = 20, numberOfDigits = 3

Sample Output

992

Note: If no number is possible for a combination of SumOfDigits and NumberOfDigits no number is possible, then simply print Not Possible