
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
Among the four-digit numbers composed of the ten digits 0, 1, 2, ..., 9 without any repetition, find the number of such numbers where the absolute difference between the units digit and the hundreds digit equals 8, and the tens digit is an even number.

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