
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 person had a cask of wine with a capacity of 10 liters and a jug. One day he filled the jug completely with wine from the cask and refilled the cask with water. After the wine and water had completely mixed, he filled the jug completely again and refilled the cask with water once more. After this, the cask contained an equal amount of wine and water.

What is the capacity of the jug?

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