
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
Find the number of possible ways to place pieces, one in each square of an 8x8 chessboard, such that the number of pieces in each row is different and the number of pieces in each column is different.

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