Swati and Sstrings

Swati loves _Sstrings_. She considers an ordinary string to be a _Sstring_ if it contains the substring ```"SS"```. Now for a given string $S$ and an integer $N$, she creates a new string $S^{\prime} = \underbrace{S + S + \dots + S}_{\text{concatenating} \space N \space \text{times}}$. Swati is a very busy girl, and she doesn't have time to find whether $S^{\prime}$ is a _Sstring_ or not. So she