
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 circle divided into 18 equally-spaced points. They start at point 18. In each turn, Alice moves 7 points clockwise and Bob moves 13 points counterclockwise. Calculate the number of turns it will take for them to meet at the same point again.

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