<|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
 50 people attend a networking event, and each person is allowed to shake hands with a maximum of 10 other attendees. Determine the largest possible number of total handshakes that can occur without forming any handshake cycles (a handshake cycle occurs when a chain of handshakes connects back to the original person). 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
50
50 people attend a networking event, and each person is allowed to shake hands with a maximum of 10 other attendees. Determine the largest possible number of total handshakes that can occur without forming any handshake cycles (a handshake cycle occurs when a chain of handshakes connects back to the original person).
test