
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
In our city's "Video Lesson Competition", the judging panel will evaluate the lessons from two aspects: "view count" and "expert rating". If a video lesson, denoted as \(A\), has either its "view count" or "expert rating" higher than that of another video lesson, denoted as \(B\), then \(A\) is considered not inferior to \(B\). Suppose a video lesson is not inferior to the other \(4\) lessons, it is then deemed an excellent video lesson. In this case, among these \(5\) video lessons, the maximum possible number of excellent video lessons is \_\_\_\_\_\_\_\_\_\_.

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