
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
From the sequence \(1, 2, \ldots, 100\), we want to produce the sequence \(2, 3, 4, \ldots, 99, 100, 1\) using steps in which two elements (not necessarily adjacent) are swapped. What is the minimum number of steps needed?

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