
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
With two properly chosen weights and a balance scale, it is possible to determine the weight of an unknown object known to weigh an integer number of pounds from 1 to \( n \). Find the largest possible value of \( n \).

Remark: The balance scale tells whether the weights placed on each side are equal and, if not, which side is heavier. The scale may be used an unlimited number of times.

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