
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 classical music enthusiasts. They share twelve identical CDs in their collections. Alice has twenty-three CDs in total. Eight CDs are in Bob's collection which are not in Alice's. How many CDs 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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