
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 path divided by 18 equally spaced points. They start at point 18. Alice moves 7 points clockwise each turn, while Bob moves 11 points counterclockwise each turn. The game ends when they meet on the same point again. Calculate the total number of turns it will take for them to meet.

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