
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
Three friends imagined three different non-zero digits, one of which was 3. They created all six possible three-digit numbers from these digits, then divided them into three pairs. The difference of the first pair of numbers was a single-digit number, the difference of the second pair of numbers was a two-digit number, and the difference of the third pair of numbers was a three-digit number divisible by five.

Determine which three digits the friends could have thought of. List all possibilities.


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