MathDB
Planet ypsilon and its calendar

Source: German Math. Competition BWM 2002, 1st round, problem 1

November 19, 2005

Problem Statement

Planet Ypsilon has a calendar similar to ours: A year consists of 365365 days, and every month has 2828, 3030 or 3131 days. Prove that on Planet Ypsilon, a year must have 1212 months.