
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
Given a nine-jointed bamboo tube, with the lower three joints holding 4.5 measures and the upper three joints holding 2.5 measures of rice, find the capacity of the middle three joints of the bamboo tube, where the rice is filled sequentially with a consistent difference in capacity between each joint.

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