
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
Suppose the graph of $y=g(x)$ includes the points (2, 4), (3, 2), and (4, 6).

Based only on this information, what are two points that must be on the graph of $y=g(g(x))$? If we denote these points as $(p,q)$ and $(r,s)$, what is $pq+rs$?

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