
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 classic "Suan Fa Tong Zong", there is the following problem: "A seven-story tower stands tall and red lights adorn it, with a total of 381 lights. The number of lights on each adjacent lower layer is twice that of the upper layer. How many lights are there on the fourth layer?"

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