Waste less time on Facebook — follow Brilliant.
×

Deterministic Games

Whether you’re just playing around or a master of games, see how mathematical and logical ideas can be combined to analyze games from tic-tac-toe to Nim.

Tic Tac Toe Warmup

         

It is X's turn. Can X win?

(NOTE: Unless stated otherwise, every problem in this quiz will assume optimal play.)

It is O's turn. Can O win?

(NOTE: Unless stated otherwise, every problem in this quiz will assume optimal play.)

White and Black are placing stones game of gomoku (five-in-a-row). Five connected stones of the same color in a row, column, or diagonal win.

The last two moves are shown; it is White's move. Where can White play to win?

How many squares would need to be removed from a 5 by 3 sized board to ensure 3-in-a-row is impossible? (Play is not necessarily optimal!)

In this game four-in-a-row wins. It is O's turn. Where should O move to win?

×

Problem Loading...

Note Loading...

Set Loading...