
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
4 men and $x$ women are randomly standing in a row, with each man standing next to at least one other man. The probability that at least 4 of the men are standing together is $p$. If $p \leq \frac{1}{100}$, what is the minimum value of $x$?

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