
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 the set of the first 100 odd numbers \( \{1, 3, \cdots, 199\} \), select a subset such that no number in the subset is divisible by another number in the subset. What is the maximum number of elements in this subset?

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