
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

There is a cup filled with a saline solution with a concentration of $16 \%$. There is one large, one medium, and one small iron ball with a volume ratio of $10: 4: 3$. First, the small ball is immersed in the cup, causing $10 \%$ of the saline solution to overflow; then the small ball is removed. Next, the medium ball is immersed and then removed; following this, the large ball is immersed and then removed. Finally, pure water is added to the cup until it is full. What is the concentration of the saline solution in the cup at this time? (Round to one decimal place)

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