<|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
 Given 95 numbers \(a_{1}, a_{2}, a_{3}, \cdots, a_{95}\), each of which can only take the value +1 or -1, what is the minimum value of the sum of the products of every pair \(a_{1} a_{2} + a_{1} a_{3} + \cdots + a_{94} a_{95}\)? 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
13
Given 95 numbers \(a_{1}, a_{2}, a_{3}, \cdots, a_{95}\), each of which can only take the value +1 or -1, what is the minimum value of the sum of the products of every pair \(a_{1} a_{2} + a_{1} a_{3} + \cdots + a_{94} a_{95}\)?
test