
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
In a village, there are seven people. Some of them are liars (always lie), and the rest are knights (always tell the truth). Each person made a statement about each of the others, saying whether they are a knight or a liar. Out of 42 statements, 24 were "He is a liar." What is the minimum number of knights that can live in the village?

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