
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
Using each of the nine digits $1, 2, 3, \ldots, 9$ exactly once, write three numbers such that their sum is the largest possible, and the difference between the largest and smallest numbers is minimized. Find this sum and the difference.

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