
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
The number of lamps at the base of a seven-level pagoda is not provided, but we know that the number of lamps doubles at each level. If the total number of lamps is 381, determine the number of lamps at the tip of the pagoda.

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