
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
If the integers 1 to 100 are arranged in a circle such that each number is either greater than or less than both of its adjacent numbers, and pairs of adjacent numbers are called "good" if this property still holds after they are removed, what is the minimum number of "good" pairs?

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