
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 is a shelf containing a disordered 100-volume collection of works by L. N. Tolstoy. It is allowed to take any two volumes with different parity numbers and swap them. What is the minimum number of such swaps required to always arrange the volumes in order?

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