
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 needs to drink a potion called "ozverin" daily. He has a bottle of ozverin solution in water (a colorless, clear liquid) in the closet with a volume of \( V = 0.5 \) liters and an initial ozverin concentration of \( C_{0} = 40\% \). Each day, Leopold drinks \( v = 50 \) ml of the solution, and to avoid detection by the mice, he refills the bottle with the same volume of water. Find the volume concentration of ozverin in the bottle after the cat has drunk \( n = 5 \) times \( v = 50 \) ml of the solution and refilled the bottle with water each time.

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