
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
For which integers \( n \geq 2 \) can we arrange the numbers \( 1, 2, \ldots, n \) in a row, such that for all integers \( 1 \leq k \leq n \) the sum of the first \( k \) numbers in the row is divisible by \( k \)?

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