
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 0 or 1 is to be placed in each of the nine \(1 \times 1\) squares in the \(3 \times 3\) grid so that each row contains at least one 0 and at least one 1, and each column contains at least one 0 and at least one 1. Calculate the number of ways in which this can be done.

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