<|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
 There are five teacups and five lids, each numbered from 1 to 5. When covering the teacups with the lids, find the number of ways to have at least two lids match the numbers of their respective teacups. Express your answer as a whole number. 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
31
There are five teacups and five lids, each numbered from 1 to 5. When covering the teacups with the lids, find the number of ways to have at least two lids match the numbers of their respective teacups. Express your answer as a whole number.
test