
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 "Comprehensive Collection of Algorithms" by Cheng Dawei of the Ming Dynasty, there is a rhyme that goes: "From afar, the majestic pagoda has seven layers, with red lights doubling in brightness layer by layer, totaling 381 lights. How many lights are at the tip of the pagoda?" This ancient poem describes a pagoda, historically known as a stupa, which has a total of 7 layers. The number of red lights hanging on each layer doubles the number from the layer below, with a total of 381 lights. How many lights are at the top layer? Calculate the number of lights at the top layer.

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