<|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
 Three families of parallel lines are drawn, with 10 lines in each family. What is the maximum number of triangles they can cut out from the plane? 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
150
Three families of parallel lines are drawn, with 10 lines in each family. What is the maximum number of triangles they can cut out from the plane?
test