
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
Five children \( A, B, C, D, \) and \( E \) sit in a circle. The teacher gives \( A, B, C, D, \) and \( E \) 2, 4, 6, 8, and 10 balls, respectively. Starting from \( A \), in a clockwise order, the game proceeds as follows: if a child's left neighbor has fewer balls than them, they give 2 balls to their left neighbor; if their left neighbor has the same or more balls, they don't give any balls. This process continues in sequence up to the fourth round. How many balls does each child have at the end of the fourth round?

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