
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
Thirteen girls are arranged in a circle. Starting with Elsa, a ball is thrown clockwise around the circle. Elsa begins with the ball and skips the next four girls, passing it to the sixth girl. The girl receiving the ball then also skips the next four girls and passes it further. Following this pattern, how many throws are needed before the ball returns to Elsa?

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