![]() ![]() So we have a1 connects to c2, which connects to a3 and so on until we again reach back at a1. We “unravel” this graph by following a single circuit starting and ending at a1. Now we remove the board and place the knights on the graph.įinally comes the trick. We start by drawing a line between any two spaces that a knight can possibly move. I present the solution on YouTube, or you can read below as well. The real beauty of this puzzle is its elegant solution using graph theory. The answer is that it is possible in a matter of 16 moves.įinding a solution might be a little frustrating but it is not all that difficult. MindYourDecisions now has over 1,000 free articles with no ads thanks to community support! Help out and get early access to posts with a pledge on Patreon. "All will be well if you use your mind for your decisions, and mind only your decisions." Since 2007, I have devoted my life to sharing the joy of game theory and mathematics. (A knight can move to an unoccupied space according to an L-shape movement: it must move two spaces horizontally and one vertically, or two spaces vertically and one horizontally.) The goal is to get each knight into the opposite corner (that is, swap the knights on a1 and c3 as well as a3 and c1).Ĭan it be done using legal chess moves, and if so, what’s the minimum number of moves? ![]() Four knights are placed on the corners of a 3×3 board. ![]() Anyone doing a technical interview would be wise to read up on some of these puzzles and the problem-solving techniques. This is a classic puzzle that appears in Algorithmic Puzzles by Anany Levitin and Maria Levitin, a delightful collection of problems. (rated 4.2/5 stars on 22 reviews) Kindle Unlimited Math Puzzles Volume 3 is the third in the series. Math Puzzles Volume 2 is a sequel book with more great problems. Volume 1 is rated 4.4/5 stars on 87 reviews. Math Puzzles Volume 1 features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. The puzzles topics include the mathematical subjects including geometry, probability, logic, and game theory. Mind Your Puzzles is a collection of the three “Math Puzzles” books, volumes 1, 2, and 3. Multiply Numbers By Drawing Lines This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. The Best Mental Math Tricks teaches how you can look like a math genius by solving problems in your head (rated 4.2/5 stars on 76 reviews) The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 4.2/5 stars on 224 reviews)Ĥ0 Paradoxes in Logic, Probability, and Game Theory contains thought-provoking and counter-intuitive results. The Joy of Game Theory shows how you can use math to out-think your competition. (3) The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias ![]() (2) 40 Paradoxes in Logic, Probability, and Game Theory (1) The Joy of Game Theory: An Introduction to Strategic Thinking Mind Your Decisions is a compilation of 5 books: As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, I may be compensated for purchases made on Amazon. ![]()
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