Weird Justice

**Meena** and **Vaibhav** are suspects in a murder case and are bought in front of a judge. The judge has his way of giving justice. Whenever the case involves two suspects, he announces his verdict based on a game. He gives a binary string $S$ of length $N$ to the suspects. A binary string consists only of "1"s and "0"s. Each suspect plays in alternate turns. In every turn the player must choose