<|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
 We are preparing to distribute 7 identical fitness equipment to 5 different communities, where communities A and B each must receive at least 2 pieces of equipment, and the other communities may receive none. Calculate the total number of different distribution schemes. Express your answer as a single integer. 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
35
We are preparing to distribute 7 identical fitness equipment to 5 different communities, where communities A and B each must receive at least 2 pieces of equipment, and the other communities may receive none. Calculate the total number of different distribution schemes. Express your answer as a single integer.
test