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. As well as being useful for solving Kakuro puzzles, exactly the same principles also apply to Killer Sudoku puzzles too, so the same combinations can also be used there. 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!

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Through practice, people come up with their own favorite strategies for solving kakuro puzzles, but it really all comes down to logic. If you don't consider it cheating, many online resources for the game and books of kakuro puzzles contain a list of all the possible solution combinations.

In other words, a full table will include all of the possible solution sets for each possible clue number for each possible number of boxes. So, if you have to solve a clue of 8 in two boxes described as "8 in two" , the table will list three possible solution sets: 1 and 7, 2 and 6, or 3 and 5. This table can serve as a nice "cheat sheet," especially for beginners.

But more advanced players should take no shame in sneaking a peak at it once in a while. Suppose your clue is 25 with five boxes "25 in five". There are 12 unique solution sets that could possibly solve that clue -- and, on top of that, you still need to figure out which digits go in which box.

Once you've determined all of the possible solution sets for a given clue, you can compare them to the possible solution sets for an intersecting group. By "intersecting group," we mean one that shares a box with another. So, a horizontal group of four boxes can share common boxes with four vertical groups -- each with its own clues and possible solution sets. You can rely on process of elimination to narrow down and solve which digits go where.

The simplest example of this is if a "4 in 2" intersects with a "3 in 2. Although it all comes down to logic, some effective tips will help you on your way to becoming a master kakuro puzzler. For instance, to help you remember, use a pencil to make small notes of the possible solutions in each box. Erase or cross out the numbers as the process of elimination dictates.

It also makes sense to start with the easiest clues, in the hopes that those solutions will unlock harder ones. So, look for groups with the fewest boxes, and look for clues that are either small numbers or large numbers.

These will tend to have the fewest number of solution sets. Most of all, of course, the best teacher is practice. For lots more information on kakuro and puzzles , tally the links below.

Different publishers may choose to print kakuro puzzles in slightly different formats. Sizes of grids, for instance, can vary widely. Many use black-and-white boxes that lend it that crossword-puzzle look. White boxes are for the player to fill in numbers, and black boxes can contain clues. The leftmost vertical column and top horizontal row are usually all black. If a clue box contains two numbers separated by a slash, the upper right clue refers to the horizontal group to the right, while the lower left clue refers to the vertical group below.

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