
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 two natural numbers, each with three different digits. The larger number has only even digits, and the smaller number has only odd digits. If the difference between them is the largest possible, what is this difference?
(a) 997
(b) 777
(c) 507
(d) 531
(e) 729

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