
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
A typical problem involves a $4 \times 4$ chessboard, where 4 pieces need to be placed on the board such that no two pieces are in the same row, the same column, or on the same diagonal.

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