
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
There are $n$ points inside a convex quadrilateral, along with the 4 vertices of the quadrilateral, for a total of $n+4$ points. No three points lie on the same line. By using these points as vertices to cut the quadrilateral into triangles, the maximum number of triangles that can be formed is 1992. Find the value of $n$.

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