
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
On each of the three cards, there is a single digit (different from zero). The digits on different cards are not necessarily distinct. It is known that any three-digit number formed with these cards is divisible by six. Additionally, it is possible to form a three-digit number from these cards that is divisible by eleven.

What digits can be on the cards? Determine all possibilities.

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