Question 24
Vandal Peter cut a rectangular head teacher's portrait along a straight line. After this he cut one of the pieces along a straight line, then he cut one of the new pieces etc. After he had made 100 cuts, the head teacher arrived and forced Peter to pay 2 kopecks for each triangular piece and 1 kopeck for each quadrangular piece. Prove that Peter paid more than 1 hryvnya (1 hryvnya = 100 kopecks).