
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 five consecutive positive integers whose average is $8$, what is the average of the second largest and second smallest numbers if the difference between the largest and the smallest number is as large as possible?

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