
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 five-digit number with digits 1, 2, 3, 4, 5 without repetition is a "wave number" if its digits follow the alternative pattern "less-greater-less-greater", i.e., satisfying a_1 < a_2 > a_3 < a_4 > a_5 < a_6... Find the total number of such "wave numbers".

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