1. In 2022, knights and liars lined up, with the extreme left and right being liars. Everyone except the extremes made the statement: “There are 42 times more liars to the right of me than to the left.” Provide an example of a row where there is exactly one knight.
Solution. Note that $2021=43 * 47$, so if we place the knight as the forty-eighth from the left, there will be 47 liars to his left, and to his right there will be 2021-47=42*47 liars.

Grading criteria: Correct example - 7 points, if "left" and "right" are switched, do not deduct points. In other cases - 0 points.