
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 100 integers written in a circle. Each of these numbers is greater than the sum of the two numbers following it in a clockwise direction. What is the maximum number of positive numbers that can be among the given integers?

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