
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
Positive integers from 1 to 100 are arranged in a circular manner such that each number is either greater than both of its neighboring numbers or less than both of its neighboring numbers. This arrangement creates pairs of neighboring numbers, referred to as "good" pairs, which, if removed, still maintain the described property. What is the minimum possible number of "good" pairs?

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