
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
Petya and Masha made apple juice. They produced a total of 10 liters. They poured it into two bottles. However, Masha found it difficult to carry her bottle, so she transferred some juice to Petya's bottle. As a result, Petya ended up with three times more juice, and Masha had three times less. How many liters did Petya have to carry?

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