A "lying" rectangle is divided in half by a horizontal line. The lower half is in turn divided in half by a vertical line, and the upper half is divided into 3 equal parts by two vertical lines. You need to draw a curve without lifting the pencil from the paper, crossing all the lines of the resulting figure (two or more lines lying on the same line are not counted as one line; intersection means "inside the line") exactly once. How?
P.S. An argued "No way" is also an answer.
Looks like there's no way! And I have an idea how to prove it!!! Paths on a graph!!!