
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 $(1,6),$ $(2,4),$ and $(4,1)$. Determine two points that must be on the graph of $y=g(g(x))$. If we call these points $(p,q)$ and $(r,s),$ what is $pq+rs$?

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