
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
Alice and Bob play a game on a circular track that is divided by 15 equally-spaced points, numbered 1 to 15 clockwise. They both start at point 15. Alice moves clockwise and Bob, counterclockwise. In each turn, Alice moves 4 points clockwise, and Bob moves 11 points counterclockwise. The game stops when Alice and Bob meet on the same point. Determine the number of turns required for Alice and Bob to meet.

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