
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 2016 spheres in space, none of which are identical. Some of the spheres are red, while the others are green. Each point of contact between a red sphere and a green sphere is painted blue. Find the maximum possible number of blue points.

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