
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 $g(x)$ be a function defined for all integers $x \geq 0$, where $g(1) = 2$, and for all integers $a, b \geq 0$, the function satisfies:
\[ g(a + b) = g(a) + g(b) - 3g(ab) \]
Compute $g(1986)$.

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