
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 barrel contains $v$ liters of wine. From this, we successively draw $a_{1}, a_{2}, \ldots, a_{n}$ liters, each time replenishing the deficit with water. How much wine remains in the barrel after the $n$-th drawing?

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