<|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
 A triangular corner with side lengths $DB=EB=1$ is cut from equilateral triangle ABC of side length $3$. Calculate the perimeter of the remaining quadrilateral ACED. 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
8
A triangular corner with side lengths $DB=EB=1$ is cut from equilateral triangle ABC of side length $3$. Calculate the perimeter of the remaining quadrilateral ACED.
test