<|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 round dining table has six seats. Three adults and three children are to be seated for a meal, with the requirement that no two children can sit next to each other. Considering the rotational symmetry of the table, calculate the total number of different seating arrangements that satisfy this condition. Provide 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
48
A round dining table has six seats. Three adults and three children are to be seated for a meal, with the requirement that no two children can sit next to each other. Considering the rotational symmetry of the table, calculate the total number of different seating arrangements that satisfy this condition. Provide your answer as a single integer.
test