<|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
 In the faculty of reverse-engineering, 240 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles, and 134 second year students study them both. Additionally, 365 second year students study advanced robotics, with 75 students studying both advanced robotics and numeric methods, 95 students studying both advanced robotics and automatic control of airborne vehicles, and 45 students studying all three subjects. If the second year students are approximately 80% of the total, how many students are there in the faculty? 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
905
In the faculty of reverse-engineering, 240 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles, and 134 second year students study them both. Additionally, 365 second year students study advanced robotics, with 75 students studying both advanced robotics and numeric methods, 95 students studying both advanced robotics and automatic control of airborne vehicles, and 45 students studying all three subjects. If the second year students are approximately 80% of the total, how many students are there in the faculty?
test