<|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
 Let the sequence $\{a_n\}$ be defined by the general term $a_n=n\cos \frac {n\pi}{3}$. Find the sum of the first 2016 terms of the sequence, denoted by $S_{2016}$. Express your answer as a single integer. 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
1008
Let the sequence $\{a_n\}$ be defined by the general term $a_n=n\cos \frac {n\pi}{3}$. Find the sum of the first 2016 terms of the sequence, denoted by $S_{2016}$. Express your answer as a single integer.
test