
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
In the ancient Chinese mathematical masterpiece "The Compendious Book on Calculation by Completion and Balancing," there is the following problem: "Looking far away at a towering seven-story pagoda, with red lights shining brightly and increasing by multiples, there are a total of 381 lights. How many lights are there at the top of the pagoda?" This means: a pagoda with 7 stories has a total of 381 lights, and the number of lights on the next lower level is twice that of the upper level. How many lights are there at the top of the pagoda?

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