String Game

Zlatan and Ramos are playing a game on a **binary** string $S$ of length $N$. Zlatan and Ramos make alternating moves with Zlatan going first. In one move, a player will: - Select an index $i$ $(1 \leq i < N)$ such that $S_i \neq S_{i+1}$ and delete both $S_i$ and $S_{i+1}$ from the string $S$. Note that $N$ gets reduced by $2$ when both characters are deleted. If a player cannot select any s