Smallest Number with Given Digit Sum

You are given two integers X and S. Your task is to find the smallest integer n such that n \ge X and the sum of the digits of n equals S. In mathematical terms, find the minimum n satisfying:

\[ n \ge X \quad \text{and} \quad \sum_{d \in digits(n)} d = S \]

For example, if X = 100 and S = 5, the answer is 104 because 1 + 0 + 4 = 5 and 104 is the smallest number meeting these conditions.

inputFormat

The input is given via standard input. It consists of a single line with two space-separated integers X and S.

outputFormat

Output the smallest integer n that satisfies the conditions described above to the standard output.

100 5

104