
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
The average of five different positive whole numbers is $5.$ If the difference between the largest and smallest of these numbers is as large as possible, what is the sum of the two smallest numbers after setting aside the smallest and largest numbers?

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