
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
Given a positive integer \( n \), determine the number of permutations \( (a_1, a_2, \ldots, a_n) \) of \( 1, 2, \ldots, n \) that satisfy \( a_1 \leq 2a_2 \leq 3a_3 \leq \ldots \leq na_n \).

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