
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 \(a\), \(b\), \(c\), and \(d\) are 2, 3, 4, and 5, but not necessarily in that order. What is the largest possible value of the sum of the four products \(ab+ac+ad+bc\)?

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