
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
There are knights who always tell the truth and liars who always lie living on an island. One day, 35 islanders sat down at 7 tables, with 5 people at each table. Each of these 35 islanders was asked: "Are there more than three tables with at least 3 knights sitting at them?"

(a) What is the maximum number of islanders who could have answered "Yes"?

(b) What is the maximum number of islanders who could have answered "No"?

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