<|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
 Andrey, Boris, Vasily, Gennady, and Dmitry played table tennis in pairs so that each pair played against every other pair exactly once. There are no ties in tennis. It is known that Andrey lost exactly 12 times, and Boris lost exactly 6 times. How many times did Gennady win? 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
Andrey, Boris, Vasily, Gennady, and Dmitry played table tennis in pairs so that each pair played against every other pair exactly once. There are no ties in tennis. It is known that Andrey lost exactly 12 times, and Boris lost exactly 6 times. How many times did Gennady win?
test