
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
Find 8 positive integers \( n_1, n_2, \ldots, n_8 \) such that we can express every integer \( n \) with \( |n| < 1986 \) as \( a_1 n_1 + \cdots + a_8 n_8 \) with each \( a_i = 0, \pm 1 \).

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