
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
A merchant has a two-pan balance scale with weights of 1, 3, 9, 27, and 81 decagrams, each appearing exactly once. What masses can be measured using these weights?

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