
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 marking 12 balls with the numbers $1, 2, 3, \cdots, 12$ and placing them in a box, three people (A, B, and C) each take out 4 balls. It is known that the sum of the numbers on the balls each person took is equal. A has two balls with the numbers 6 and 11, B has two balls with the numbers 4 and 8, and C has one ball with the number 1. What are the numbers on C's other three balls?

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