
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
Given the constraints that a 5-digit positive integer has only even digits and is between 10000 and 99999, inclusive, determine the number of such integers that are divisible by 5.

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