Check out the top books of the year on our page Best Books of You have been warned! Some numbers may be given at the start. After solving all the puzzles in this book, you will be a Futoshiki Pro. These constraints must be honored as the grid is filled out.

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Five Futoshiki Solving Strategies Like sudoku, there are many techniques in solving a futoshiki puzzle. This can get to a point where it almost looks impossible to solve and may take a long time using a variety of strategies.

But keep in mind, just like Sudoku and Kakuro, a Futoshiki puzzle has only one unique solution that will work successfully. In this article I will give you a few futoshiki strategies. Strategy 1: Use Pencil marks This is by far the first and in my opinion most important strategy, using pencil marks!

Using pencil marks not only greatly reduce the chance for error, it helps to point out obvious hints in solving puzzles. Now, it seems like I am stating the obvious but it very easy to overlook it and think "I got it, it is no big deal" only to run into a problem later on. Using pencil marks, it is best to fill in possible values that you know are going to exist in a particular box. Then, as more clues are revealed, you can reduce the pencil marks until only one digit remain and that will be the digit used for that box.

Strategy 2: Look for chains or a groups of chains A good place to start a futoshiki puzzle is to look for chains. A chain is several connected boxes that are linked by the same "greater than" or "less than" sign.

In a 6x6 puzzle Example A you can see a chain and thus you now know definitely what the values af the boxes are. Example A 6x6 Example B 7x7 Strategy 3: Pairs, Triples, Quadruples This is a very good strategy for sudoku, kakuro and futoshiki puzzles assuming you are using pencil marks.

If a box of a given row or column only has a pencil mark of 1 and 5 and a box in the same row or column also has a pencil mark of 1 and 5 then you can remove 1 and 5 from all other boxes in that row or column.

The reason behind this is that the first box must be a 1 or a 5 and the second box must be a 1 or a 5. If the 3rd box was set as a 5 for example, it would cause an obvious error in the row since you are not allowed to have the same digit in a row or column. Example Pair 5x5 puzzle.


Reviewer notes

This article describes the Futoshiki number puzzle. The top of this page has a link to a description of this Delphi-7 program. Futoshiki puzzles come in different sizes. The puzzles in this project have 5 rows and 5 columns. So, there are 25 fields which each hold a number A number may only appear once in a row or a column. Initially a futoshiki puzzel has a number of operators only and a spurious or no number.


Five Futoshiki Solving Strategies


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