
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 \(1, 2, 3, 4, 5\) such that for any \(1 \leq i \leq 4\), the sequence \(a_{1}, a_{2}, a_{3}, \cdots, a_{i}\) is not a permutation of \(1, 2, \cdots, i\). Find the number of such permutations.

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