
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
Suppose you have four boxes in a 2x2 grid. You want to fill these boxes with the digits 1, 2, and 3, with the restriction that no two horizontally adjacent boxes can both be filled. Each box can hold at most one digit, and you have only one of each digit. How many distinct ways can you fill the boxes under these conditions?

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