
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
The total capacity of three buckets A, B, and C is 1440 liters. If buckets A and B are full of water and bucket C is empty, pouring all the water from bucket A and one-fifth of the water from bucket B into bucket C will completely fill bucket C. Alternatively, pouring all the water from bucket B and one-third of the water from bucket A into bucket C will also completely fill bucket C. Determine the capacities of buckets A, B, and C respectively.

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