Analysts have estimated the number of legal positions in Othello is at most 10 28 , and it has a game-tree complexity of approximately 10 58 .  Mathematically, Othello still remains unsolved . Experts have not absolutely resolved what the outcome of a game will be where both sides use perfect play . However, analysis of thousands of high quality games (most of them computer-generated) appears to lead to a reliable conclusion (pending actual proof if true) that, on the standard 8×8 board, perfect play on both sides results in a draw.  When generalizing the game to play on an n × n board, the problem of determining if the first player has a winning move in a given position is PSPACE-complete .  On 4×4 and 6×6 boards under perfect play, the second player wins.  The first of these proofs is relatively trivial , and the second dates to around 1990.
All of our experts are professionals in their fields including professors, teachers and PhD researches, who perfectly know the structure of such papers and the most common requirements. You can make your order right now on our website with a couple of clicks. It will take you just some minutes instead of days to get your paper. When you decide to transfer your assignment to our professionals, you can be sure that it will be completed thoroughly, responsibly and on time. Besides, you can order urgent essay writing and it will be written as soon as possible. If necessary we will ask two or more writers to help you. The end product is always revised by a linguist and verified by anti-plagiarism software. Make your order with our writing service right now and get its evaluation at once and for free! Ease your busy student's life and enjoy excellent results with our help.