
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
Fill a $3 \times 3$ grid with three 1s, three 2s, and three 3s, ensuring that each row and column contains no repeated numbers. How many different ways are there to fill the grid?

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