<|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
 Three individuals, labeled A, B, and C, are to be allocated across seven laboratories in preparation for experiments. Each laboratory can accommodate no more than two people. Find the total number of distinct allocation schemes. 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
336
Three individuals, labeled A, B, and C, are to be allocated across seven laboratories in preparation for experiments. Each laboratory can accommodate no more than two people. Find the total number of distinct allocation schemes. Express your answer as a whole number.
test