
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 are five boxes \( A, B, C, D, \) and \( E \) with 9, 5, 3, 2, and 1 balls respectively. The first student identifies the box with the fewest balls and then puts one ball from each of the other boxes into this box. The second student then identifies the box with the fewest balls and repeats this process, and so on. After the 199th student has completed their turn, how many balls are in each of the five boxes \( A, B, C, D, \) and \( E \)?

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