Problem F
Harshad Numbers

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 $\ge n$.

Input

Input consists of a single line containing a positive integer $n\le 1000000000$.

Output

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

24

24

25

27

987654321

987654330