
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
A bronze lion statue has the following inscription: "I can pour water from my eyes, throat, and right foot. If I open my right eye, I will fill the basin in 2 days; if I open my left eye, in 3 days. The water flowing from my foot fills the basin in 4 days, and from my throat, in 6 hours. Tell me how long it will take to fill the basin if water flows simultaneously from my eyes, throat, and foot?"

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