<|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
 Calculate the exact value of the expression $(\sqrt{11}+\sqrt{5})^{8} + (\sqrt{11}-\sqrt{5})^{8}$. Provide your answer as a single numerical value. 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
903712
Calculate the exact value of the expression $(\sqrt{11}+\sqrt{5})^{8} + (\sqrt{11}-\sqrt{5})^{8}$. Provide your answer as a single numerical value.
test