
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
Between \(1^{2}, 2^{2}, 3^{2}, \cdots, 1989^{2}\), by inserting "+" and "-" signs, what is the smallest non-negative sum that can be obtained when evaluating the resulting expression?

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