
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 numbers $\{-3, 2, 5, 8, 11\}$, rearrange them according to the rules: 

1. The largest number isn't first, but it is in one of the first three places.
2. The smallest number isn't last, but it is in one of the last three places.
3. The median number isn't second or fourth.

Find the average of the first and last numbers.

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