
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
5.93 $n$ elementary school students are seated in a circle. A teacher walks counterclockwise around the circle and distributes candies to the students. Starting from a certain student, she skips 1 student and gives a candy to the next one; then she skips 2 students and gives a candy to the next one; then she skips 3 students, and so on, skipping one more student each time. For what value of $n$ will every student eventually receive a candy? Explain the reasoning.

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