
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
With three different digits, all greater than  $0$ , six different three-digit numbers are formed. If we add these six numbers together the result is  $4.218$ . The sum of the three largest numbers minus the sum of the three smallest numbers equals  $792$ . Find the three digits.

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