
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
Let $a_{1}, a_{2}, a_{3}, a_{4}, a_{5}$ be a permutation of the numbers $1, 2, 3, 4, 5$. If there does not exist $1 \leq i < j < k \leq 5$ such that $a_{i} < a_{j} < a_{k}$, then the number of such permutations is ______.

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