
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
Find the number of four-digit numbers without repeated digits that can be formed using the digits 1, 2, 3, and 4, where exactly one even digit is sandwiched between two odd digits.

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