
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 are both classic book collectors. They share twelve of the same books. Alice has twenty-six books in her collection. Eight books are in Bob’s collection but not in Alice’s. How many books are in either Alice’s or Bob's collection, but not both?

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