
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 a fixed $3 \times 3$ grid, 4 identical chess pieces are to be placed into the cells. No more than one piece can be placed in any single cell. If each row and each column must contain at least one piece, how many different ways can this be done?

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