
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
On an island, there are 23 knights and 200 liars; the names of all residents are unique. A knowledgeable tourist asked each of the 223 residents to write down a list of 200 names of liars. Each knight wrote down the correct 200 names of liars, while each liar wrote down a random list of 200 names that definitely does not include their own name. What is the maximum number of liars the tourist can guaranteedly identify based on this information?

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