
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
There are 49 children, each with a unique number from 1 to 49 on their chest. You are asked to select several children and arrange them in a circle so that the product of the numbers of any two adjacent children is less than 100. What is the maximum number of children you can select?

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