
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
Consider the six-digit multiples of three with at least one of each of the digits 0, 1, and 2, and no other digits. What is the difference between the largest and the smallest of these numbers?

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