
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 $16 \%$ salt solution. There are three iron balls: large, medium, and small, with a volume ratio of 10:4:3. First, the small ball is fully immersed in the cup of salt solution, causing $10 \%$ of the salt solution to overflow. The small ball is then removed. Next, the medium ball is fully immersed in the cup and then removed. After that, the large ball is fully immersed in the cup and then removed. Finally, pure water is added to the cup until it is full again. What is the final concentration of the salt solution in the cup? (Round to one decimal place.)

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