
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
The values of $p$, $q$, $r$ and $s$ are 3, 4, 5 and 6, but not necessarily in that order. What is the largest possible value of the sum of the four products $pq$, $qr$, $rs$, and $ps$?

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