Soru

An automated smart climate controller regulates room temperature ($T$, in ${}^\circ\text{C}$) and relative humidity ($H$, in $\%$) across three sequential hourly cycles ($k = 1, 2, 3$). The initial state at cycle $k = 0$ is $T_0 = 24^\circ\text{C}$ and $H_0 = 60\%$.

At the end of each hourly cycle $k$, the new state $(T_k, H_k)$ is updated according to the following transition rules:
- $T_k = T_{k-1} - 2$ if $H_{k-1} \ge 50\%$; otherwise, $T_k = T_{k-1} + 1$
- $H_k = H_{k-1} - 10$ if $T_{k-1} > 20$; otherwise, $H_k = H_{k-1} + 5$

Which of the following statements regarding the system's state are correct? Select all that apply.