
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
Given that a pagoda with 7 stories has a total of 381 red lanterns, with each story having twice as many lanterns as the one above it, find the number of lanterns on the top of the pagoda.

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