Question 83
Lara and Sara will draw $n$ straight lines on a rectangular sheet of paper, one after the other, in turn, and one line each time. Every line will be parallel to one of the edges of the sheet and will go from edge to edge. No line will coincide with an edge or an already drawn line. At the end, the sheet of paper will be divided into several rectangles. If the number of these rectangles will be odd, the winner will be Laura, and if it will be even, the winner will be Sara. Determine the winner depending on $n$ and the person who starts drawing a line.