
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
Given a circle divided into 18 equally-spaced points, where Alice moves 7 points clockwise and Bob moves 13 points counterclockwise each turn, starting at point 18, determine the turn number at which they meet on the same point.

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