
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
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 \(a_{1} a_{2} + a_{1} a_{3} + \cdots + a_{94} a_{95}\)?

Present the answer in LaTex format: \boxed{Your answer}
user