
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
A suitcase lock has 4 dials, each with the digits $0, 1, 2, ..., 9$. How many different settings are possible if all four digits have to be different, and the last dial can only be set to even numbers?

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