
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
A square piece of paper has 1965 holes pierced in its interior, and none of these holes are collinear with any combination of the square's vertices. A number of non-intersecting line segments are drawn, with their endpoints being these holes or the square's vertices, to partition the square into triangles, ensuring that there are no additional holes on the edges or interior of these triangles. How many line segments were drawn in total? How many triangles were obtained?

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