
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, labeled from 1 to 18. Both start at point 18. Alice moves 7 points clockwise each turn while Bob moves 13 points counterclockwise each turn. Find the minimum number of turns required for Alice and Bob to meet at the same point.

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