
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
Fifteen girls are standing around a circle. A ball is thrown clockwise around the circle. The first girl, Lisa, starts with the ball, skips the next four girls and throws to the sixth girl, who then skips the next three girls and throws the ball to the tenth girl. This pattern of skipping alternates between four and three girls for each throw. How many total throws are necessary for the ball to return to Lisa?

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