<|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
 At a round table, 30 people are seated - knights and liars (knights always tell the truth, and liars always lie). It is known that each of them at this table has exactly one friend, and for knights, this friend is a liar, and for liars, this friend is a knight (friendship is always mutual). When asked, "Is your friend sitting next to you?", those sitting every other seat answered "Yes". How many of the rest could also have answered "Yes"? 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
0
At a round table, 30 people are seated - knights and liars (knights always tell the truth, and liars always lie). It is known that each of them at this table has exactly one friend, and for knights, this friend is a liar, and for liars, this friend is a knight (friendship is always mutual). When asked, "Is your friend sitting next to you?", those sitting every other seat answered "Yes". How many of the rest could also have answered "Yes"?
test