
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
20 points are marked inside a square and connected with non-intersecting line segments to each other and to the vertices of the square such that the square is divided into triangles. How many triangles are obtained?

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