
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

To combat the mice, Leopold the cat must drink "ozverin" every day. He has a bottle of ozverin solution in water (colorless transparent liquid) with a volume of $V=0.5$ liters and an initial volumetric concentration of ozverin $C_{0}=40\%$. Every day, Leopold drinks $v=50$ ml of the solution, and to avoid detection by the mice, he pours the same volume of water into the bottle. Find the volumetric concentration of ozverin in the bottle after the cat has drunk $n=5$ times $v=50$ ml of the liquid, with water being added back each time.

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