1111---- !

Hari Charan was very bored in his maths class. He was able to solve each and every problem his teacher had given them. So his teacher decided to challenge him with a tricky problem. The teacher gave him a number $n$ and asked him to find out if there existed a number $m$ with all of its digits as $1$ which such that $m$ is divisible by $n$. For example if $n = 3$, $m=111$ and $m=111111$ are val