
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
(1) Given $n$ mutually independent numbers $x_{1}, x_{2}, \cdots, x_{n}$ each taking values 1, 0, or -1, find the minimum value of the sum of the pairwise products of these $n$ numbers.

(2) Find the minimum value of the sum of the pairwise products of $n$ numbers whose absolute values do not exceed 1.

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