
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
A certain sports team has members with distinct numbers chosen from the positive integers 1 to 100. If the number of any member is neither the sum of the numbers of two other members nor twice the number of another member, what is the maximum number of members this sports team can have?

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