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For those who want to become better problem solvers--or those who just enjoy games and puzzles that are challenging--this fascinating volume teaches you how to examine each of its many teasers, twisters and tactical challenges and to identify the most winning approach to every one. How can you tell what's a red herring and what's important? How can you figure the odds on Indian poker? How can you flip coins against an opponent and win consistently--without cheating? Here are the clear, easily grasped explanations of how and why some solutions to puzzles work and others don't, and how to tell the difference.
While many think of algorithms as specific to computer science, at its core algorithmic thinking is defined by the use of analytical logic to solve problems. This logic extends far beyond the realm of computer science and into the wide and entertaining world of puzzles. In Algorithmic Puzzles, Anany and Maria Levitin use many classic brainteasers as well as newer examples from job interviews with major corporations to show readers how to apply analytical thinking to solve puzzles requiring well-defined procedures. The book's unique collection of puzzles is supplemented with carefully developed tutorials on algorithm design strategies and analysis techniques intended to walk the reader step-by-step through the various approaches to algorithmic problem solving. Mastery of these strategies--exhaustive search, backtracking, and divide-and-conquer, among others--will aid the reader in solving not only the puzzles contained in this book, but also others encountered in interviews, puzzle collections, and throughout everyday life. Each of the 150 puzzles contains hints and solutions, along with commentary on the puzzle's origins and solution methods. The only book of its kind, Algorithmic Puzzles houses puzzles for all skill levels. Readers with only middle school mathematics will develop their algorithmic problem-solving skills through puzzles at the elementary level, while seasoned puzzle solvers will enjoy the challenge of thinking through more difficult puzzles.
This book presents serious mathematical and algorithmic puzzles that are mostly counterintuitive. The presented puzzles are simultaneously entertaining, challenging, intriguing, and haunting. This book introduces its readers to counterintuitive mathematical ideas and revolutionary algorithmic insights from a wide variety of topics. The presented solutions that are discovered by many mathematicians and computer scientists are highly counterintuitive and show supreme mathematical beauty. These counterintuitive solutions are intriguing to the degree that they shatter our preconceived notions, shake our long-held belief systems, debunk our fundamental intuitions, and finally rob us of sleep and haunt us for a lifetime. Multiple ways of attacking the same puzzle are presented which teach the application of elegant problem-solving strategies.
Do you know and love Sudoku, the number-placing logic puzzle? Can you breeze through easy puzzles in a matter of minutes, and zip through the harder puzzles, as well? Are you looking for harder and more complex puzzles to keep your attention and take your skill to the next level? Then Extreme Sudoku is the book for you. Inside, international Sudoku expert Carol Vorderman presents 175 tricky puzzles in the classic Sudoku style, and also introduces some fun and challenging new varieties such as Squiffy Sudoku, Sudoku 16, and Killer Sudoku. Each new Sudoku game is even more involved and exciting than the last, but never fear! With Carol's easy-to-understand instructions and step-by-step explanations of each new puzzle format, you'll always succeed, even with the toughest Sudoku puzzles. Includes more than 300 puzzles.
From krazydad, constructor of the wildly popular and addictive puzzles published in The New York Times as Two Not Touch, here are 360 of your favorite Star Battle puzzles. These puzzles will provide a healthy diversion for you in these challenging times, and help you make it to the other side with your sanity intact! Includes an instructive and pithy tutorial.
Cutting a cake, dividing up the property in an estate, determining the borders in an international dispute - such problems of fair division are ubiquitous. Fair Division treats all these problems and many more through a rigorous analysis of a variety of procedures for allocating goods (or 'bads' like chores), or deciding who wins on what issues, when there are disputes. Starting with an analysis of the well-known cake-cutting procedure, 'I cut, you choose', the authors show how it has been adapted in a number of fields and then analyze fair-division procedures applicable to situations in which there are more than two parties, or there is more than one good to be divided. In particular they focus on procedures which provide 'envy-free' allocations, in which everybody thinks he or she has received the largest portion and hence does not envy anybody else. They also discuss the fairness of different auction and election procedures.
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The 12th International Symposium on Distributed Computing and Artificial Intelligence 2015 (DCAI 2015) is a forum to present applications of innovative techniques for studying and solving complex problems. The exchange of ideas between scientists and technicians from both the academic and industrial sector is essential to facilitate the development of systems that can meet the ever-increasing demands of today’s society. The present edition brings together past experience, current work and promising future trends associated with distributed computing, artificial intelligence and their application in order to provide efficient solutions to real problems. This symposium is organized by the Osaka Institute of Technology, Qatar University and the University of Salamanca.
A group biography of seven enduring and beloved games, and the story of why—and how—we play them. Checkers, backgammon, chess, and Go. Poker, Scrabble, and bridge. These seven games, ancient and modern, fascinate millions of people worldwide. In Seven Games, Oliver Roeder charts their origins and historical importance, the delightful arcana of their rules, and the ways their design makes them pleasurable. Roeder introduces thrilling competitors, such as evangelical minister Marion Tinsley, who across forty years lost only three games of checkers; Shusai, the Master, the last Go champion of imperial Japan, defending tradition against “modern rationalism”; and an IBM engineer who created a backgammon program so capable at self-learning that NASA used it on the space shuttle. He delves into the history and lore of each game: backgammon boards in ancient Egypt, the Indian origins of chess, how certain shells from a particular beach in Japan make the finest white Go stones. Beyond the cultural and personal stories, Roeder explores why games, seemingly trivial pastimes, speak so deeply to the human soul. He introduces an early philosopher of games, the aptly named Bernard Suits, and visits an Oxford cosmologist who has perfected a computer that can effectively play bridge, a game as complicated as human language itself. Throughout, Roeder tells the compelling story of how humans, pursuing scientific glory and competitive advantage, have invented AI programs better than any human player, and what that means for the games—and for us. Funny, fascinating, and profound, Seven Games is a story of obsession, psychology, history, and how play makes us human.