
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 standing in a circle. A ball is passed clockwise. The first girl, Bella, starts with the ball, skips the next four girls and throws to the sixth girl. The girl receiving the ball then skips the next four girls and continues the pattern. How many throws are needed for the ball to come back to Bella?

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