
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 cup is filled with a salt solution at a concentration of 15%. There are three iron balls in large, medium, and small sizes, with their volume ratio being 10:5:3. First, the small ball is placed into the cup of salt solution, causing 10% of the salt solution to overflow. After removing the small ball, the medium ball is placed into the cup and then removed. Next, the large ball is placed into the cup and then removed. Finally, pure water is added to the cup to fill it to the top. What is the final concentration of the salt solution in the cup?

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