2. On the square, 2019 people - knights and liars - stood in a line. Knights always tell the truth, liars always lie. One of the knights is the king. Everyone except the king said: "The number of liars between me and the king is seven." How many liars are there on the square? List all possible answers.
2. Answer: any integer from 7 to 14 inclusive.

The one standing directly next to the king is a liar, as there is no one between him and the king. Similarly, the one standing one person away from the king is also a liar, since there is only one person between him and the king. Thus, the first 7 people next to the king are liars. The eighth person from the king is a knight. The one following him is also a knight. And all the rest of the attendees are also knights.

If the king is standing at the edge of the line, the number of liars is 7. If the king is standing second from the edge, one more liar is added on the other side of the king. And so on. The maximum number of liars is 14.

## Comment on the check.

It is shown that the first seven are liars: 2 points. As an answer, a specific number from the range $[7,14]$ is given with justification: 4 points.

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