MathDB

Lalo and Sergio play in a regular polygon of

n\geq 4

sides. In his turn, Lalo paints a diagonal or side of pink, and in his turn Sergio paint a diagonal or side of orange. Wins the game who achieve paint the three sides of a triangle with his color, if none of the players can win, they game tie. Lalo starts playing. Determines all natural numbers

n

such that one of the players have winning strategy.

Problem Statement