
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
A sequence of integers \( x_{0}, x_{1}, x_{2}, \ldots \) is defined such that \( x_{0} = 0 \) and \( |x_{n}| = |x_{n-1} + 1| \) for each natural number \( n \). What is the smallest possible value of the expression \( |x_{1} + x_{2} + \ldots + x_{1975}| \)?

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