Definition:Hex (Game)/Winning

Definition

A player wins if and only if there is a sequence of tiles $\sequence {h_i}_{1 \mathop \le i \mathop \le n}$ such that:

$(1): \quad$ Every $h_i$ is marked with that player's symbol

$(2): \quad h_i$ is adjacent to $h_{i + 1}$ for every $1 \le i < n$

$(3): \quad h_1$ is on one of the player's sides, and $h_n$ is on the other.

The player who has achieved that aim is called the winner.