MathDB
ASU 432 All Soviet Union MO 1986 elf with 30 equal cups with milk

Source:

August 6, 2019
combinatoricsgamegame strategy

Problem Statement

Given 3030 equal cups with milk. An elf tries to make the amount of milk equal in all the cups. He takes a pair of cups and aligns the milk level in two cups. Can there be such an initial distribution of milk in the cups, that the elf will not be able to achieve his goal in a finite number of operations?