
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
Dorian bought 168 feet of fencing to enclose a rectangular plot for his new garden. The numbers of feet in the lengths of the garden's sides must be natural numbers. What is the maximum area that can be enclosed by this fencing?

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