
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
Given three distinct non-zero digits, we write down all the three-digit numbers that can be formed using these digits, where each number uses all three digits. The sum of the written numbers is 1776.

Which three digits did we use? Determine all possible solutions.

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