
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 positive integers from a list of seven positive integers as $3, 5, 9, 7, 8$. What is the smallest possible value of the median of this list of seven positive integers if any additional numbers added must be less than 3?

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