
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 the set \( A = \{1, 2, \cdots, 104\} \), \( S \) is a subset of \( A \). If \( x \in S \) and both \( x-1 \notin S \) and \( x+1 \notin S \), then \( x \) is called an "isolated point" of \( S \). Find the number of 5-element subsets of \( A \) that have no "isolated points".

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