
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
You have six boxes arranged in a \(3 \times 2\) grid and possess the digits \(1\), \(2\), \(3\), \(4\), and \(5\). In how many distinct ways can you place these digits in the boxes with the condition that each box contains at most one digit and one box remains empty?

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