
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 99 positive numbers arranged in a circle, it is found that for any four consecutive numbers, the sum of the first two numbers in the clockwise direction is equal to the product of the last two numbers in the clockwise direction. What can be the sum of all 99 numbers placed in a circle?

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