
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
A math teacher agreed with eleven students attending a session that he would leave the classroom while they decide among themselves who would be a liar (always lying) and who would be a knight (always telling the truth). When the teacher returned, he asked each student to say about each of the others whether they are knights or liars. Out of 110 answers, 56 were "He is a liar." What is the maximum number of knights that could be among the students?

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