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문제

We’re all familiar with harshad numbers. For this problem, you will ... what’s that? You aren’t familiar with harshad numbers? They’re also known as Niven numbers – does that ring a bell?? Anything???

Well, it’s a simple enough concept. A harshad number is a number which is evenly divisible by the sum of its digits. For example, 24 is a harshad number: the sum of its digits is 2 + 4 = 6 and 24 is divisible by 6. 156 is also a harshad number, since 1 + 5 + 6 = 12 and 156 = (12)(13). 157 is NOT a harshad number since it is not divisible by 1 + 5 + 7 = 13.

OK, let’s start over.

We’re all familiar with harshad numbers. For this problem, you will be given a number n and must find the smallest harshad number ≥ n.

입력

Input consists of a single line containing a positive integer n ≤ 1 000 000 000.

출력

Display the smallest harshad number greater than or equal to n.

예제 입력 1

24

예제 출력 1

24

예제 입력 2

25

예제 출력 2

27

예제 입력 3

987654321

예제 출력 3

987654330