<|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 △ABC, there are 2008 arbitrary points that are not collinear, plus the three vertices A, B, and C, making a total of 2011 points. If these 2011 points are connected to form non-overlapping small triangles, calculate the total number of small triangles that can be formed. 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
4017
In △ABC, there are 2008 arbitrary points that are not collinear, plus the three vertices A, B, and C, making a total of 2011 points. If these 2011 points are connected to form non-overlapping small triangles, calculate the total number of small triangles that can be formed.
test