Social Circles

In a typical social media website, there are various friends of ours, who are common, known as mutual friends. We define a set of users to be a part of a Social Circle $S$, if each friend in that set satisfies the following characteristics: - If $A$ is a friend of $B$, both $A$ and $B$ should belong to the same set. - If $A$ is a friend of $B$ and $C$ is also a friend of $B$ (i.e. $B$ is t