# Learn the Knight's Tour (Advanced)

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## The Knight's TourThe Knight's Tour is a famous chess puzzle. The object is to move the Knight around the board using only valid L-shaped Knight moves, so that each square is visited exactly once With the Basic Knight's Tour, the starting square is chosen, but the tour may end on any square. The Advanced Knight's Tour goes one step further as you are also challenged to end on a specific square! Sound impossible? Not if you follow the simple rules given here. Learn this procedure and your friends will be truly astounded at your mental powers! Try it yourself
## Learning the Advanced Knight's Tour## Start and End SquaresThe procedure for completing the Advanced Knight's Tour is similar to the Basic Tour, but requires some adjustments to the way in which moves are made from one system to the next. First, when selecting the start and end squares, you should realize that these must be Once valid start and end squares have been selected, you should note which If you don't understand these systems, they are described in the Basic Knight's Tour.
## How to Complete the Advanced Knight's Tour## Opposite Shape SystemsFor example, the start square is in a square-shaped system and the end square is in a diamond-shaped system (or vice versa). This is the easiest of the various problems to solve. First you should complete the first system as with the Basic Tour, but in the final quadrant you must select your direction of movement so that you can enter the opposite-shaped system that is NOT the system occupied by the end square For example, if the end square is in the left-hand diamond system, you must enter the right-hand diamond as the second system. Then complete the second and third systems as normal, making sure that you can enter the final system withour hitting the end square.. Completing the final system requires you to plan a route through the remaining squares so that you can finish on the end square. Depending on where you enter the final system, this may mean that you have to move from one quadrant to another without having completed all its squares. There are no hard-and-fast rules for this. You must learn to SEE the route. To do this, you will need to practice!!! ## Same Shape, Opposite Orientation SystemsFor example, the start square may be in the left diamond system and the end square in the right diamond system. This one is a little trickier, but learning to solve it will teach you an important principle. First you should complete the first and second systems as usual, making sure that you can enter the third system (which contains the target) on a vacant square. Now you have to Once you have moved out of the third system, you should complete the new system in the normal way, making sure that you are able to enter back into the system containing the end square from your final move Finally you need to plan your route through the remaining squares so that you finish on the end square. Again you will need to practice the tours until you learn to SEE these paths. ## Same Shape, Same Orientation (Same System)For example, both start and end squares are in the right square systems. Here you must Having moved out from the first system, you complete the next three systems as normal before re-entering the first system. Finally you again need to plan your route through the remaining squares so that you finish on the end square. ## Same System and Same QuadrantFor example, both start and end squares are in the left diamond system and also both in the lower right quadrant. Solving this tour is basically identical to the previous case, except that you just need to ensure that you can enter the final quadrant (which contains the end square) and finish on the target. | ||||||||||||

Try your skill at the Advanced Knight's Tour Challenge. Video Tutorial.for Advanced Knight's Tour Learn how to solve the Basic Knight's Tour Challenge |