
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
There are five numbers, their average is 12.5. If these five numbers are arranged in ascending order, the average of the first three numbers is 11.6, and the average of the last three numbers is 13.5. The middle number is __________.

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