Question 33
There are $2022$ points on the circle, one of which is painted black, and the other $2021$ — white. In one move Hedgehog is allowed to do one of the following operations:
- repaint in the opposite color two consecutive points of the same color;
- repaint in the opposite colors two points of different colors, between which there is exactly one other point.
Will Hedgehog be able to do such operations so that each point changes its color to the opposite (compared to the initial coloring)?
- repaint in the opposite color two consecutive points of the same color;
- repaint in the opposite colors two points of different colors, between which there is exactly one other point.
Will Hedgehog be able to do such operations so that each point changes its color to the opposite (compared to the initial coloring)?