Combinatorics · Combinatorial games · Chomp · Divisor lattice · Winning strategy
Miljan and Mladen play the following game. They take turns naming divisors of \(200\), with one restriction: the number a player names must not be a divisor of any number named earlier in the game. A player loses as soon as he names \(200\). Miljan goes first. How should he play in order to beat Mladen?
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Serbian Regional Competition (Okruzno takmicenje) 2000, high school grade I, category A, problem 2. Organized by the Mathematical Society of Serbia (DMS). Source