
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 with 18 equally-spaced points numbered from 1 to 18. They both start at point 18. In each game turn, Alice moves 7 points clockwise, while Bob moves 11 points counterclockwise. Additionally, every second turn, Bob skips 1 extra point in his counterclockwise movement. Determine when Alice and Bob meet at the same point.

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