
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
Let \( \left|x_{i}\right| < 1 \) for \( i = 1, 2, \cdots, n \). If \( \left|x_{1}\right|+\left|x_{2}\right|+\cdots+\left|x_{n}\right| = 2016+\left|x_{1}+x_{2}+\cdots+x_{n}\right| \), calculate the minimum value of \( n \).

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