I was solving this problem Smash Me

Abridge Problem Statement: Given $$$N$$$ users, $$$M$$$ friendship pairs, and $$$K$$$ blockship pairs. For each user $$$u$$$, find the number of other users $$$v$$$ such that:

1. $$$u$$$ and $$$v$$$ are connected via a path of friendships.
2. $$$u \neq v$$$
3. $$$u$$$ and $$$v$$$ are not direct friends.
4. $$$u$$$ and $$$v$$$ do not block each other.

I wrongly interpreted the problem and thinking of some other problem,

The Modified Problem: For any vertex $$$u$$$, find the number of vertices $$$v$$$ such that:

1. There exists a path from $$$u$$$ to $$$v$$$ that does not contain any vertex $$$w \in \text{Blockship}[u]$$$.
2. $$$u \neq v$$$
3. $$$u$$$ and $$$v$$$ are not direct friends.
4. $$$u$$$ and $$$v$$$ do not block each other.

I later was able to solve the original problem but just curious how to solve the above problem.

Thanks :D