
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
In how many ways can you place on a chessboard such that they do not capture each other:

a) two rooks; b) two kings; c) two bishops; d) two knights; e) two queens?

All pieces are of the same color.

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