
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
On a chessboard, four rooks are placed so that they attack all white squares.

a) Provide an example of such an arrangement.

b) Determine the number of such arrangements.

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