# KAKURO SOLVING TECHNIQUES PDF

Tips and tricks: easy ways to solve Kakuro A simple puzzle Here is a Kakuro puzzle which will turn out to be very simple to solve. We give every column a name: the first one is A, the second, B, and so on to the tenth, J. To each row we also give a name: the top row is a, the next, b, and so on to the bottom row, which is called j. Each square lies in the intersection of a row and a column, so we can name it uniquely by giving both the row and column names. Author: Tuzilkree Vokus Country: Iceland Language: English (Spanish) Genre: Business Published (Last): 27 January 2019 Pages: 421 PDF File Size: 15.97 Mb ePub File Size: 14.64 Mb ISBN: 655-7-69359-553-7 Downloads: 70261 Price: Free* [*Free Regsitration Required] Uploader: Faura Numerical Puzzles For Your Brain Solve Kakuro puzzles In this guide we offer a range of practical tips on how to solve Kakuro puzzles, with difficulties ranging from beginner to expert level.

In addition, inside each sum group, each digit can appear once at most. The traditional way to solve a Kakuro puzzle is incremental: by using the existing information on the board, you can find with certainty the value of a specific cell which can take only one possible value. Then that value is filled and the process is repeated until all the board cells have been discovered.

In those cases each of the possibilities needs to be explored on its own and eliminated through contradictions until only one course of action remains. Usually you can hover on a Kakuro grid over the definition number and a tooltip will appear containing all the possibilities of writing that sum with unique digits in the number of available cells.

Having an unique way of writing the sum helps, but keep in mind that all permutations are valid and you still need to figure out which actual permutation to use on the board.

Since our sum is 26, it turns out that the digit 1 cannot be a part of the sum. The yellow square found at the intersection of those two sum definitions must contain the same digit, so there must be a common digit present in the horizontal and vertical definitions in order to be shared between them. By looking at the possibilities above we can easily figure out that 5 is the only digit which respects this criterion. This technique works especially well when intersecting a low-sum with a high-sum definition.

Low-sum and high-sum definitions are the ones which have a relative low or high sum definition number 6 and 29 respectively for our example when compared to the number of cells available. Because 6 is relatively low it will force low digits in the sum representation, and 29 will force high digits in order to attain these sums using the given number of cells. Therefore the intersection of low and high digits is likely to contain only one candidate for the actual cell value.

In the example above, the yellow vertical cells only accept values equal to 7 or higher. Because 7 is a minimum, the horizontal definition having 8 as a sum forces the 7 in that position. Conclusion Practicing is the best way to see how this advice can be applied in actual Kakuro games. Play a puzzle for real. We wish you good luck and lots of fun!

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## Kakuro techniques In addition, no number may be used in the same block more than once. The best way to learn how to solve Kakuro puzzles is to see how a puzzle is solved from beginning to end. Step 1 Kakuro puzzles are all about special number combinations. However, square a1 must be smaller than 6 because of the 6-in-two block in column a.

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## Tips and tricks: easy ways to solve Kakuro Lone square An empty square that has all its neighbouring squares either column or row filled in can easily be solved. Simply add together the corrsponding neighbouring values and then subtract the total from the clue. The remaining value is the answer for that square. Any values which appear in the combinations for both runs are candidates for the square on which the runs intersect.