
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
Six positive integers from a list of nine positive integers are \(4, 5, 3, 7, 9, 6\). What is the largest possible value of the median of this list of nine positive integers?

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