In how many ways can we seat 8 people around a table if Alice and Bob won't sit next to each other?  (Two seatings are the same if one is a rotation of the other.)
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
In how many ways can we seat 8 people around a table if Alice and Bob won't sit next to each other?  (Two seatings are the same if one is a rotation of the other.)
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
3600
In how many ways can we seat 8 people around a table if Alice and Bob won't sit next to each other?  (Two seatings are the same if one is a rotation of the other.)
train