
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 real numbers \( x_{1}, x_{2}, \cdots, x_{2011} \) satisfying 
\[ 
\left|x_{1}\right|=99 \text{ and } \left|x_{n}\right|=\left|x_{n-1}+1\right|
\]
for \( n = 2, 3, \cdots, 2014 \), find the minimum value of \( x_{1} + x_{2} + \cdots + x_{2014} \).

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