
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
Given 2016 points in the plane, with no three points collinear, demonstrate that it is possible to construct 504 pairwise disjoint quadrilaterals, not necessarily convex, whose vertices are the given points.

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