<|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
 Among the digits 0, 1, 2, and 3, how many distinct four-digit numbers can be formed such that the unit digit is not 2 and no digit is repeated? 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
14
Among the digits 0, 1, 2, and 3, how many distinct four-digit numbers can be formed such that the unit digit is not 2 and no digit is repeated?
test