
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 \( A = \{1, 2, 3, \ldots, 104\} \), and \( S \) is a subset of \( A \). If for any \( x \in S \), neither \( x-1 \in S \) nor \( x+1 \in S \), then \( x \) is called an isolated point of \( S \). How many 5-element subsets of \( A \) have no isolated points?

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