
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 "Nine Sections of Bamboo" problem from "The Nine Chapters on the Mathematical Art": There is a bamboo with 9 sections, and the volumes of each section from top to bottom form an arithmetic sequence. The total volume of the top 4 sections is 3 liters, and the total volume of the bottom 3 sections is 4 liters. What is the volume of the top section of the bamboo in liters?

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