All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Games
Almost Tic-Tac-Toe (Posted on 2023-05-20) Difficulty: 3 of 5
Annabella and Bruce are playing "Almost Tic-Tac-Toe", in which an X is written on a line, and each player takes turns adding either a X or an O, in accordance with their choice.

Annabella goes first, and the goal is to avoid a sequence of three evenly spaced X's or O's; and the first person to do so loses. For instance, if the letters are XOXXOX, then Bruce has to put O because XOXXOXX is a losing position. Then, Annabella will lose because both XOXXOXOX and XOXXOXOO are losing positions.

Assuming that both of them play optimally after Annabella's first move, who wins if she starts putting down a second X on the line next to the initial one? What if she starts with an O?

Explain each of your answers with valid reasoning.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
soln: decision treeSteven Lord2023-05-21 16:35:43
a startSteven Lord2023-05-21 06:21:45
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information