MathDB
The Millenium Game

Source: Problem 6, Brazilian Olympic Revenge 2005

June 1, 2005
combinatorics unsolvedcombinatorics

Problem Statement

Zé Roberto and Humberto are playing the Millenium Game! There are 30 empty boxes in a queue, and each box have a capacity of one blue stome. Each player takes a blue stone and places it in a box (and it is a move). The winner is who, in its move, obtain three full consecutive boxes. If Zé Roberto is the first player, who has the winner strategy?