MathDB
2012 ToT Spring Junior A p 1, 2 pears differ by at most 1 gram

Source:

March 4, 2020
combinatorics

Problem Statement

It is possible to place an even number of pears in a row such that the masses of any two neighbouring pears differ by at most 11 gram. Prove that it is then possible to put the pears two in a bag and place the bags in a row such that the masses of any two neighbouring bags differ by at most 11 gram.