<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 At the end of autumn and the beginning of winter, influenza is prevalent. In a hospital in Xinyang city, the number of people admitted for influenza treatment each day over the past 30 days forms a sequence $\{a_n\}$. It is known that $a_1 = 1$, $a_2 = 2$, and $a_{n+2} - a_n = 1 + (-1)^n$ ($n \in \mathbb{N}^*$). Calculate the total number of people admitted for influenza treatment in this hospital over 30 days. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
255
At the end of autumn and the beginning of winter, influenza is prevalent. In a hospital in Xinyang city, the number of people admitted for influenza treatment each day over the past 30 days forms a sequence $\{a_n\}$. It is known that $a_1 = 1$, $a_2 = 2$, and $a_{n+2} - a_n = 1 + (-1)^n$ ($n \in \mathbb{N}^*$). Calculate the total number of people admitted for influenza treatment in this hospital over 30 days.
test