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Geek lost the password of his super locker. He remembers the number of digits N as well as the sum S of all the digits of his password. He know that his password is the largest number of N digits that can be made with given sum S. As he is busy doing his homework, help him retrieving his password.
Example 1:
Input: N = 5, S = 12 Output: 93000 Explanation: Sum of elements is 12. Largest possible 5 digit number is 93000 with sum 12.
Example 2:
Input: N = 3, S = 29 Output: -1 Explanation: There is no such three digit number whose sum is 29.
Your Task :
You don't need to read input or print anything. Your task is to complete the function largestNumber() which takes 2 integers N and S as input parameters and returns the password in the form of string, else return "-1" in the form of string.
Constraints:
1 ≤ N ≤ 104
0 ≤ S ≤ 9*104
Expected Time Complexity : O(N)
Expected Auxilliary Space : O(1)
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