
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
Andrew and John are both movie enthusiasts. Their respective collections share twelve of the same movies. Andrew has twenty-three movies in his collection. Eight movies are in John's collection but not Andrew's. How many movies are in either Andrew's or John's collection, but not both?

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