Kakuro Puzzle for Adults: Cross Sums Puzzles With Cheat Sheet and Solutions

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Another easy starting point is the intersection of a clue 17 (in two squares) and clue 16 (in two squares). In exactly the same way, one of these clues has a 9 and an 8, and the other must have a 9 and a 7. So the intersection can only be the 9, and the rest can be filled in. Do not write numbers in the shaded cells. The shaded boxes remain empty for the entire game. They break up the columns and rows into smaller “chunks” to create more space for gameplay on the board. The “clues” appear in the shaded boxes only. Any completely blank box is yours to work with. [3] X Research source A: Kakuro is a logic puzzle that involves filling a grid with numbers so that the sums of certain combinations of digits add up to specific totals. In some situations, there's no specific board cell having just one possibility. 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. and so on... 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.

In the example above, the yellow vertical cells only accept values equal to 7 or higher. If you try to assign a 6, you can easily figure out that 6 + 9 + 8 = 23 so the definition sum of 24 would not be attainable. A: Killer Sudoku is a variation of Sudoku that combines elements of Sudoku and Kakuro, where numbers in cages must add up to given sums without repeating digits.

For example, 1 horizontal column might have a total 6 boxes. 3 of the boxes could be blank and 3 could be shaded. You can enter numbers in the blank boxes only. The shaded boxes break the column into separate chunks. In this guide we offer a range of practical tips on how to solve Kakuro puzzles, with difficulties ranging from beginner to expert level. As we have seen, in Kakuro puzzles there are some clues with only one solution (like the 3 can only be made by 1 and 2), and others with a large number of possibilities. The tables below list the possibilities for all lengths of clues, with the bold entries showing the unique solutions for that clue.

Kakuro are easy to learn yet highly addictive language-independent logic puzzles now following the footsteps of the worldwide Sudoku success. Requiring just pure logic and simple add/subtract calculations, these numerical-crossword puzzles will carry you into a fascinating world of number combinations you never imagined could exist. For the yellow cells highlighted above, there's only one way of writing the sum: 4 = 1 + 3. However we still need to figure out which permutation (1 + 3 or 3 + 1) to use. Because 7 is a minimum, the horizontal definition having 8 as a sum forces the 7 in that position. Conclusion Kakuros are number puzzles, which are growing in popularity and gradually finding their way into newspapers, magazines and books. Also known as "Cross Sums", they require logic and simple number addition to complete them. Puzzles can vary in difficulty from the very easy to the very fiendish.

For faster solving, numbers can be placed by pointing mouse on the desired square and then typing with the keyboard.

The Kakuro and Killer Sudoku Cheat Sheet is a document that provides tips, strategies, and possible solutions for solving Kakuro and Killer Sudoku puzzles. It is a useful tool for individuals who enjoy these types of number-based puzzles and want some guidance or assistance in solving them. FAQ

6 Digit Combinations 

Forexample, the clue 7 in three squares is given as 1.2.4 which means that's the only solution (the "no repeats" rule forbids others like 2.2.3 and 1.3.3). The clue 12 in four squares is given as " 1 to 6", which means it definitely contains a 1 but no numbers above 6, whereas clue 18 in four squares is just given as "any" - more clues are needed!

Each clue consists of a single number, for example 12. The row or column of squares referred to by this clue then has to add up to the given number. So for example if the 12 referred to a row of two squares, one of the squares could be a 5 and the other one a 7. In this case there are several possibilities to add up to 12, and even if you knew from the other clues that it must be a 5 and a 7, you still need to work out whether it's 5 and 7, or 7 and 5. A: A Kakuro and Killer Sudoku cheat sheet can provide guidance and solutions to challenging puzzles, helping you improve your skills and solve puzzles faster. These are all possible combinations of digits for a given cage size and sum. Bolded sums have only one combination. 2-Cell Cage CombinationsWhen two such clues intersect, you can usually tell quite a lot. For example, one popular starting point is a clue of 3 intersecting with a clue of 4, as shown in the diagram to the right: Some shaded boxes have diagonal lines across the middle to create 2 triangles. A clue will appear in the top right triangle (above the diagonal line) or in the bottom left triangle (below the diagonal line). Horizontal clues always appear in the top right triangle. Vertical clues always appear in the bottom left triangle. A: Yes, you can create your own Kakuro and Killer Sudoku cheat sheet by compiling useful tips, strategies, and solving techniques that work for you.