
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
After labeling 12 balls with numbers 1, 2, 3, ... 12 and placing them in a box, three people, A, B, and C, each take out 4 balls from the box. It is known that the sum of the numbers on the balls taken by each person is equal. Person A has balls labeled 6 and 11, Person B has balls labeled 4 and 8, and Person C has a ball labeled 1. What are the numbers on the other three balls taken by Person C?

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