Flip or Reverse

You are given a binary string $A$ and want to convert it to another binary string $B$. Both have lengths $N$. You can do either of the following operations at most $\lceil \frac{N}{2} \rceil$ times: - **Type $1$**: Choose $(L, R)$ such that $1 \le L \le R \le N$, and flip $A_i$ for each $L \le i \le R$. To flip $X$ means to replace it with $1 - X$. - **Type $2$**: Choose $(L, R)$ such that $1 \